Spectra/snark-20120808r02/examples/LCL038-1+rm_eq_rstfp.kif
Naveen Sundar Govindarajulu 8c78a2f8e5 First commits.
2017-01-14 22:08:51 -05:00

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Text

;--------------------------------------------------------------------------
; File : LCL038-1 : TPTP v2.2.0. Released v1.0.0.
; Domain : Logic Calculi (Implication/Falsehood 2 valued sentential)
; Problem : C0-1 depends on a single axiom
; Version : [McC92] axioms.
; English : An axiomatisation for the Implication/Falsehood 2 valued
; sentential calculus is {C0-1,C0-2,C0-3,C0-4}
; by Tarski-Bernays. Show that C0-1 can be derived from this
; suspected single axiom.
; Refs : [Ove90] Overbeek (1990), ATP competition announced at CADE-10
; : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal
; : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11
; Source : [Ove90]
; Names : CADE-11 Competition 5 [Ove90]
; : THEOREM 5 [LM93]
; Status : unsatisfiable
; Rating : 0.89 v2.2.0, 1.00 v2.0.0
; Syntax : Number of clauses : 3 ( 0 non-Horn; 2 unit; 2 RR)
; Number of literals : 5 ( 0 equality)
; Maximal clause size : 3 ( 1 average)
; Number of predicates : 1 ( 0 propositional; 1-1 arity)
; Number of functors : 4 ( 3 constant; 0-2 arity)
; Number of variables : 6 ( 2 singleton)
; Maximal term depth : 4 ( 2 average)
; Comments :
; : tptp2X -f kif -t rm_equality:rstfp LCL038-1.p
;--------------------------------------------------------------------------
; condensed_detachment, axiom.
(or (not (is_a_theorem (implies ?A ?B)))
(not (is_a_theorem ?A))
(is_a_theorem ?B))
; single_axiom, axiom.
(or (is_a_theorem (implies (implies (implies ?A ?B) ?C) (implies (implies ?C ?A) (implies ?D ?A)))))
; prove_c0_1, conjecture.
(or (not (is_a_theorem (implies (implies a b) (implies (implies b c) (implies a c))))))
;--------------------------------------------------------------------------