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42 lines
1.9 KiB
Text
42 lines
1.9 KiB
Text
;--------------------------------------------------------------------------
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; File : LCL038-1 : TPTP v2.2.0. Released v1.0.0.
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; Domain : Logic Calculi (Implication/Falsehood 2 valued sentential)
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; Problem : C0-1 depends on a single axiom
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; Version : [McC92] axioms.
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; English : An axiomatisation for the Implication/Falsehood 2 valued
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; sentential calculus is {C0-1,C0-2,C0-3,C0-4}
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; by Tarski-Bernays. Show that C0-1 can be derived from this
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; suspected single axiom.
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; Refs : [Ove90] Overbeek (1990), ATP competition announced at CADE-10
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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 : [Ove90]
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; Names : CADE-11 Competition 5 [Ove90]
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; : THEOREM 5 [LM93]
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; Status : unsatisfiable
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; Rating : 0.89 v2.2.0, 1.00 v2.0.0
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; Syntax : Number of clauses : 3 ( 0 non-Horn; 2 unit; 2 RR)
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; Number of literals : 5 ( 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 ( 3 constant; 0-2 arity)
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; Number of variables : 6 ( 2 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 LCL038-1.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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; single_axiom, axiom.
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(or (is_a_theorem (implies (implies (implies ?A ?B) ?C) (implies (implies ?C ?A) (implies ?D ?A)))))
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; prove_c0_1, conjecture.
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(or (not (is_a_theorem (implies (implies a b) (implies (implies b c) (implies a c))))))
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;--------------------------------------------------------------------------
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