TSTP Solution File: LCL045-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL045-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:49:01 EDT 2022
% Result : Unsatisfiable 263.96s 264.13s
% Output : CNFRefutation 263.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of clauses : 48 ( 27 unt; 0 nHn; 17 RR)
% Number of literals : 76 ( 0 equ; 29 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 121 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X,implies(not(X),Y))) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X,implies(Y,X))) ).
cnf(cn_21,axiom,
is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))) ).
cnf(cn_22,axiom,
is_a_theorem(implies(implies(Y,Z),implies(implies(X,Y),implies(X,Z)))) ).
cnf(cn_54,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(not(X),Y),Y))) ).
cnf(prove_cn_46,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(implies(implies(not(X_59),implies(X_58,X_59)),implies(X_58,X_59)))
| ~ is_a_theorem(implies(not(X_59),implies(X_58,X_59)))
| is_a_theorem(implies(X_58,X_59)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(not(X_59),implies(X_58,X_59)))),bind(Y,$fot(implies(X_58,X_59)))]]) ).
cnf(refute_0_1,plain,
is_a_theorem(implies(X_54,implies(Y,X_54))),
inference(subst,[],[cn_18:[bind(X,$fot(X_54))]]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(implies(implies(X,Y),implies(implies(not(X),Y),Y)))
| is_a_theorem(implies(implies(not(X),Y),Y)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X,Y))),bind(Y,$fot(implies(implies(not(X),Y),Y)))]]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(implies(X,Y))
| is_a_theorem(implies(implies(not(X),Y),Y)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(not(X),Y),Y))) )],[cn_54,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ is_a_theorem(implies(X_54,implies(Y,X_54)))
| is_a_theorem(implies(implies(not(X_54),implies(Y,X_54)),implies(Y,X_54))) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_54)),bind(Y,$fot(implies(Y,X_54)))]]) ).
cnf(refute_0_5,plain,
is_a_theorem(implies(implies(not(X_54),implies(Y,X_54)),implies(Y,X_54))),
inference(resolve,[$cnf( is_a_theorem(implies(X_54,implies(Y,X_54))) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
is_a_theorem(implies(implies(not(X_59),implies(X_58,X_59)),implies(X_58,X_59))),
inference(subst,[],[refute_0_5:[bind(Y,$fot(X_58)),bind(X_54,$fot(X_59))]]) ).
cnf(refute_0_7,plain,
( ~ is_a_theorem(implies(not(X_59),implies(X_58,X_59)))
| is_a_theorem(implies(X_58,X_59)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_59),implies(X_58,X_59)),implies(X_58,X_59))) )],[refute_0_6,refute_0_0]) ).
cnf(refute_0_8,plain,
( ~ is_a_theorem(implies(not(implies(not(X_96264),not(X_96263))),implies(implies(X_96263,X_96264),implies(not(X_96264),not(X_96263)))))
| is_a_theorem(implies(implies(X_96263,X_96264),implies(not(X_96264),not(X_96263)))) ),
inference(subst,[],[refute_0_7:[bind(X_58,$fot(implies(X_96263,X_96264))),bind(X_59,$fot(implies(not(X_96264),not(X_96263))))]]) ).
cnf(refute_0_9,plain,
( ~ is_a_theorem(implies(not(X_2270),implies(not(implies(X_2269,not(X_2270))),X_2270)))
| is_a_theorem(implies(not(implies(X_2269,not(X_2270))),X_2270)) ),
inference(subst,[],[refute_0_7:[bind(X_58,$fot(not(implies(X_2269,not(X_2270))))),bind(X_59,$fot(X_2270))]]) ).
cnf(refute_0_10,plain,
is_a_theorem(implies(X_2258,implies(Y,X_2258))),
inference(subst,[],[cn_18:[bind(X,$fot(X_2258))]]) ).
cnf(refute_0_11,plain,
( ~ is_a_theorem(implies(X_94,X_95))
| ~ is_a_theorem(implies(implies(X_94,X_95),implies(X_94,implies(not(X_95),X_93))))
| is_a_theorem(implies(X_94,implies(not(X_95),X_93))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_94,X_95))),bind(Y,$fot(implies(X_94,implies(not(X_95),X_93))))]]) ).
cnf(refute_0_12,plain,
is_a_theorem(implies(X_88,implies(not(X_88),Y))),
inference(subst,[],[cn_3:[bind(X,$fot(X_88))]]) ).
cnf(refute_0_13,plain,
( ~ is_a_theorem(implies(Y,Z))
| ~ is_a_theorem(implies(implies(Y,Z),implies(implies(X,Y),implies(X,Z))))
| is_a_theorem(implies(implies(X,Y),implies(X,Z))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(Y,Z))),bind(Y,$fot(implies(implies(X,Y),implies(X,Z))))]]) ).
cnf(refute_0_14,plain,
( ~ is_a_theorem(implies(Y,Z))
| is_a_theorem(implies(implies(X,Y),implies(X,Z))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(Y,Z),implies(implies(X,Y),implies(X,Z)))) )],[cn_22,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ is_a_theorem(implies(X_88,implies(not(X_88),Y)))
| is_a_theorem(implies(implies(X_87,X_88),implies(X_87,implies(not(X_88),Y)))) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_87)),bind(Y,$fot(X_88)),bind(Z,$fot(implies(not(X_88),Y)))]]) ).
cnf(refute_0_16,plain,
is_a_theorem(implies(implies(X_87,X_88),implies(X_87,implies(not(X_88),Y)))),
inference(resolve,[$cnf( is_a_theorem(implies(X_88,implies(not(X_88),Y))) )],[refute_0_12,refute_0_15]) ).
cnf(refute_0_17,plain,
is_a_theorem(implies(implies(X_94,X_95),implies(X_94,implies(not(X_95),X_93)))),
inference(subst,[],[refute_0_16:[bind(Y,$fot(X_93)),bind(X_87,$fot(X_94)),bind(X_88,$fot(X_95))]]) ).
cnf(refute_0_18,plain,
( ~ is_a_theorem(implies(X_94,X_95))
| is_a_theorem(implies(X_94,implies(not(X_95),X_93))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_94,X_95),implies(X_94,implies(not(X_95),X_93)))) )],[refute_0_17,refute_0_11]) ).
cnf(refute_0_19,plain,
( ~ is_a_theorem(implies(X_2258,implies(Y,X_2258)))
| is_a_theorem(implies(X_2258,implies(not(implies(Y,X_2258)),X_2257))) ),
inference(subst,[],[refute_0_18:[bind(X_93,$fot(X_2257)),bind(X_94,$fot(X_2258)),bind(X_95,$fot(implies(Y,X_2258)))]]) ).
cnf(refute_0_20,plain,
is_a_theorem(implies(X_2258,implies(not(implies(Y,X_2258)),X_2257))),
inference(resolve,[$cnf( is_a_theorem(implies(X_2258,implies(Y,X_2258))) )],[refute_0_10,refute_0_19]) ).
cnf(refute_0_21,plain,
is_a_theorem(implies(not(X_2270),implies(not(implies(X_2269,not(X_2270))),X_2270))),
inference(subst,[],[refute_0_20:[bind(Y,$fot(X_2269)),bind(X_2257,$fot(X_2270)),bind(X_2258,$fot(not(X_2270)))]]) ).
cnf(refute_0_22,plain,
is_a_theorem(implies(not(implies(X_2269,not(X_2270))),X_2270)),
inference(resolve,[$cnf( is_a_theorem(implies(not(X_2270),implies(not(implies(X_2269,not(X_2270))),X_2270))) )],[refute_0_21,refute_0_9]) ).
cnf(refute_0_23,plain,
is_a_theorem(implies(not(implies(X_2269,not(X_96230))),X_96230)),
inference(subst,[],[refute_0_22:[bind(X_2270,$fot(X_96230))]]) ).
cnf(refute_0_24,plain,
( ~ is_a_theorem(implies(X_9078,X_9080))
| ~ is_a_theorem(implies(implies(X_9078,X_9080),implies(X_9078,implies(implies(X_9080,X_9081),implies(not(X_9081),X_9079)))))
| is_a_theorem(implies(X_9078,implies(implies(X_9080,X_9081),implies(not(X_9081),X_9079)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_9078,X_9080))),bind(Y,$fot(implies(X_9078,implies(implies(X_9080,X_9081),implies(not(X_9081),X_9079)))))]]) ).
cnf(refute_0_25,plain,
( ~ is_a_theorem(implies(X_304,implies(implies(X_304,X_305),implies(not(X_305),X_303))))
| is_a_theorem(implies(implies(X,X_304),implies(X,implies(implies(X_304,X_305),implies(not(X_305),X_303))))) ),
inference(subst,[],[refute_0_14:[bind(Y,$fot(X_304)),bind(Z,$fot(implies(implies(X_304,X_305),implies(not(X_305),X_303))))]]) ).
cnf(refute_0_26,plain,
is_a_theorem(implies(implies(X_140,X_88),implies(X_140,implies(not(X_88),Y)))),
inference(subst,[],[refute_0_16:[bind(X_87,$fot(X_140))]]) ).
cnf(refute_0_27,plain,
( ~ is_a_theorem(implies(X,implies(Y,Z)))
| ~ is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z))))
| is_a_theorem(implies(Y,implies(X,Z))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X,implies(Y,Z)))),bind(Y,$fot(implies(Y,implies(X,Z))))]]) ).
cnf(refute_0_28,plain,
( ~ is_a_theorem(implies(X,implies(Y,Z)))
| is_a_theorem(implies(Y,implies(X,Z))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))) )],[cn_21,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ is_a_theorem(implies(implies(X_140,X_88),implies(X_140,implies(not(X_88),Y))))
| is_a_theorem(implies(X_140,implies(implies(X_140,X_88),implies(not(X_88),Y)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(implies(X_140,X_88))),bind(Y,$fot(X_140)),bind(Z,$fot(implies(not(X_88),Y)))]]) ).
cnf(refute_0_30,plain,
is_a_theorem(implies(X_140,implies(implies(X_140,X_88),implies(not(X_88),Y)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_140,X_88),implies(X_140,implies(not(X_88),Y)))) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
is_a_theorem(implies(X_304,implies(implies(X_304,X_305),implies(not(X_305),X_303)))),
inference(subst,[],[refute_0_30:[bind(Y,$fot(X_303)),bind(X_140,$fot(X_304)),bind(X_88,$fot(X_305))]]) ).
cnf(refute_0_32,plain,
is_a_theorem(implies(implies(X,X_304),implies(X,implies(implies(X_304,X_305),implies(not(X_305),X_303))))),
inference(resolve,[$cnf( is_a_theorem(implies(X_304,implies(implies(X_304,X_305),implies(not(X_305),X_303)))) )],[refute_0_31,refute_0_25]) ).
cnf(refute_0_33,plain,
is_a_theorem(implies(implies(X_9078,X_9080),implies(X_9078,implies(implies(X_9080,X_9081),implies(not(X_9081),X_9079))))),
inference(subst,[],[refute_0_32:[bind(X,$fot(X_9078)),bind(X_303,$fot(X_9079)),bind(X_304,$fot(X_9080)),bind(X_305,$fot(X_9081))]]) ).
cnf(refute_0_34,plain,
( ~ is_a_theorem(implies(X_9078,X_9080))
| is_a_theorem(implies(X_9078,implies(implies(X_9080,X_9081),implies(not(X_9081),X_9079)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_9078,X_9080),implies(X_9078,implies(implies(X_9080,X_9081),implies(not(X_9081),X_9079))))) )],[refute_0_33,refute_0_24]) ).
cnf(refute_0_35,plain,
( ~ is_a_theorem(implies(not(implies(X_2269,not(X_96230))),X_96230))
| is_a_theorem(implies(not(implies(X_2269,not(X_96230))),implies(implies(X_96230,X_96231),implies(not(X_96231),X_96229)))) ),
inference(subst,[],[refute_0_34:[bind(X_9078,$fot(not(implies(X_2269,not(X_96230))))),bind(X_9079,$fot(X_96229)),bind(X_9080,$fot(X_96230)),bind(X_9081,$fot(X_96231))]]) ).
cnf(refute_0_36,plain,
is_a_theorem(implies(not(implies(X_2269,not(X_96230))),implies(implies(X_96230,X_96231),implies(not(X_96231),X_96229)))),
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(X_2269,not(X_96230))),X_96230)) )],[refute_0_23,refute_0_35]) ).
cnf(refute_0_37,plain,
is_a_theorem(implies(not(implies(not(X_96264),not(X_96263))),implies(implies(X_96263,X_96264),implies(not(X_96264),not(X_96263))))),
inference(subst,[],[refute_0_36:[bind(X_2269,$fot(not(X_96264))),bind(X_96229,$fot(not(X_96263))),bind(X_96230,$fot(X_96263)),bind(X_96231,$fot(X_96264))]]) ).
cnf(refute_0_38,plain,
is_a_theorem(implies(implies(X_96263,X_96264),implies(not(X_96264),not(X_96263)))),
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(not(X_96264),not(X_96263))),implies(implies(X_96263,X_96264),implies(not(X_96264),not(X_96263))))) )],[refute_0_37,refute_0_8]) ).
cnf(refute_0_39,plain,
is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))),
inference(subst,[],[refute_0_38:[bind(X_96263,$fot(a)),bind(X_96264,$fot(b))]]) ).
cnf(refute_0_40,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))) )],[refute_0_39,prove_cn_46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL045-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 13:36:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 263.96/264.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 263.96/264.13
% 263.96/264.13 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 263.96/264.14
%------------------------------------------------------------------------------