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53 lines
2.2 KiB
Text
53 lines
2.2 KiB
Text
;--------------------------------------------------------------------------
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; File : LCL114-1 : TPTP v2.2.0. Released v1.0.0.
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; Domain : Logic Calculi (Many valued sentential)
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; Problem : MV-36 depnds on the Merideth system
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; Version : [McC92] axioms.
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; English : An axiomatisation of the many valued sentential calculus
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; is {MV-1,MV-2,MV-3,MV-5} by Meredith. Show that 36 depends
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; on the Meredith system.
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; Refs : [Ove90] Overbeek (1990), ATP competition announced at CADE-10
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; : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
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; : [McC92] McCune (1992), Email to G. Sutcliffe
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; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal
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; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11
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; Source : [McC92]
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; Names : CADE-11 Competition 7 [Ove90]
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; : MV-60 [MW92]
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; : THEOREM 7 [LM93]
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; Status : unsatisfiable
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; Rating : 0.89 v2.1.0, 0.88 v2.0.0
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; Syntax : Number of clauses : 6 ( 0 non-Horn; 5 unit; 2 RR)
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; Number of literals : 8 ( 0 equality)
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; Maximal clause size : 3 ( 1 average)
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; Number of predicates : 1 ( 0 propositional; 1-1 arity)
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; Number of functors : 4 ( 2 constant; 0-2 arity)
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; Number of variables : 11 ( 1 singleton)
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; Maximal term depth : 4 ( 2 average)
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; Comments :
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; : tptp2X -f kif -t rm_equality:rstfp LCL114-1.p
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;--------------------------------------------------------------------------
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; condensed_detachment, axiom.
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(or (not (is_a_theorem (implies ?A ?B)))
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(not (is_a_theorem ?A))
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(is_a_theorem ?B))
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; mv_1, axiom.
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(or (is_a_theorem (implies ?A (implies ?B ?A))))
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; mv_2, axiom.
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(or (is_a_theorem (implies (implies ?A ?B) (implies (implies ?B ?C) (implies ?A ?C)))))
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; mv_3, axiom.
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(or (is_a_theorem (implies (implies (implies ?A ?B) ?B) (implies (implies ?B ?A) ?A))))
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; mv_5, axiom.
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(or (is_a_theorem (implies (implies (not ?A) (not ?B)) (implies ?B ?A))))
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; prove_mv_36, conjecture.
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(or (not (is_a_theorem (implies (implies a b) (implies (not b) (not a))))))
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;--------------------------------------------------------------------------
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