TSTP Solution File: SYN718-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN718-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : Thu Jul 21 09:04:59 EDT 2022
% Result : Unsatisfiable 8.08s 8.26s
% Output : CNFRefutation 8.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 14 unt; 0 nHn; 24 RR)
% Number of literals : 58 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p25_23,negated_conjecture,
p25(X58,X58) ).
cnf(p20_26,negated_conjecture,
p20(X41,X41) ).
cnf(p3_36,negated_conjecture,
p3(c84,f10(c72,c73)) ).
cnf(p57_72,negated_conjecture,
( p57(f26(f30(c85,X197),X198),X199)
| ~ p57(f26(X197,X198),X199) ) ).
cnf(p57_76,negated_conjecture,
( p57(X193,X194)
| ~ p25(X196,X193)
| ~ p57(X196,X195)
| ~ p21(X195,X194) ) ).
cnf(p57_80,negated_conjecture,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)) ).
cnf(p57_81,negated_conjecture,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)) ).
cnf(p21_101,negated_conjecture,
( p21(f22(X51,X52),f22(X53,X54))
| ~ p20(X51,X53)
| ~ p3(X52,X54) ) ).
cnf(not_p57_105,negated_conjecture,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))) ).
cnf(p57_107,negated_conjecture,
( p57(f26(f30(c85,X200),X201),X202)
| ~ p57(f26(f30(c85,X200),X201),X203)
| ~ p57(f26(f30(c85,X200),X203),X202) ) ).
cnf(refute_0_0,plain,
p20(X_1954,X_1954),
inference(subst,[],[p20_26:[bind(X41,$fot(X_1954))]]) ).
cnf(refute_0_1,plain,
( ~ p20(X_1954,X_1954)
| ~ p3(X_1953,X_1955)
| p21(f22(X_1954,X_1953),f22(X_1954,X_1955)) ),
inference(subst,[],[p21_101:[bind(X51,$fot(X_1954)),bind(X52,$fot(X_1953)),bind(X53,$fot(X_1954)),bind(X54,$fot(X_1955))]]) ).
cnf(refute_0_2,plain,
( ~ p3(X_1953,X_1955)
| p21(f22(X_1954,X_1953),f22(X_1954,X_1955)) ),
inference(resolve,[$cnf( p20(X_1954,X_1954) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ p3(c84,f10(c72,c73))
| p21(f22(X_1957,c84),f22(X_1957,f10(c72,c73))) ),
inference(subst,[],[refute_0_2:[bind(X_1953,$fot(c84)),bind(X_1954,$fot(X_1957)),bind(X_1955,$fot(f10(c72,c73)))]]) ).
cnf(refute_0_4,plain,
p21(f22(X_1957,c84),f22(X_1957,f10(c72,c73))),
inference(resolve,[$cnf( p3(c84,f10(c72,c73)) )],[p3_36,refute_0_3]) ).
cnf(refute_0_5,plain,
p25(X_5088,X_5088),
inference(subst,[],[p25_23:[bind(X58,$fot(X_5088))]]) ).
cnf(refute_0_6,plain,
( ~ p21(X_5090,X_5089)
| ~ p25(X_5088,X_5088)
| ~ p57(X_5088,X_5090)
| p57(X_5088,X_5089) ),
inference(subst,[],[p57_76:[bind(X193,$fot(X_5088)),bind(X194,$fot(X_5089)),bind(X195,$fot(X_5090)),bind(X196,$fot(X_5088))]]) ).
cnf(refute_0_7,plain,
( ~ p21(X_5090,X_5089)
| ~ p57(X_5088,X_5090)
| p57(X_5088,X_5089) ),
inference(resolve,[$cnf( p25(X_5088,X_5088) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ p21(f22(X_1957,c84),f22(X_1957,f10(c72,c73)))
| ~ p57(X_5092,f22(X_1957,c84))
| p57(X_5092,f22(X_1957,f10(c72,c73))) ),
inference(subst,[],[refute_0_7:[bind(X_5088,$fot(X_5092)),bind(X_5089,$fot(f22(X_1957,f10(c72,c73)))),bind(X_5090,$fot(f22(X_1957,c84)))]]) ).
cnf(refute_0_9,plain,
( ~ p57(X_5092,f22(X_1957,c84))
| p57(X_5092,f22(X_1957,f10(c72,c73))) ),
inference(resolve,[$cnf( p21(f22(X_1957,c84),f22(X_1957,f10(c72,c73))) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),c84))
| p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))) ),
inference(subst,[],[refute_0_9:[bind(X_1957,$fot(f24(c71,c83))),bind(X_5092,$fot(f26(f30(c85,c70),f22(f24(c71,c79),c80))))]]) ).
cnf(refute_0_11,plain,
( ~ p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82))
| p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)) ),
inference(subst,[],[p57_72:[bind(X197,$fot(c70)),bind(X198,$fot(f22(f24(c71,c79),c80))),bind(X199,$fot(f22(f24(c71,c81),c82)))]]) ).
cnf(refute_0_12,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
inference(resolve,[$cnf( p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)) )],[p57_81,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84))
| p57(f26(f30(c85,c70),f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)) ),
inference(subst,[],[p57_72:[bind(X197,$fot(c70)),bind(X198,$fot(f22(f24(c71,c81),c82))),bind(X199,$fot(f22(f24(c71,c83),c84)))]]) ).
cnf(refute_0_14,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
inference(resolve,[$cnf( p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)) )],[p57_80,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ p57(f26(f30(c85,c70),X_12898),f22(f24(c71,c81),c82))
| ~ p57(f26(f30(c85,c70),f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84))
| p57(f26(f30(c85,c70),X_12898),f22(f24(c71,c83),c84)) ),
inference(subst,[],[p57_107:[bind(X200,$fot(c70)),bind(X201,$fot(X_12898)),bind(X202,$fot(f22(f24(c71,c83),c84))),bind(X203,$fot(f22(f24(c71,c81),c82)))]]) ).
cnf(refute_0_16,plain,
( ~ p57(f26(f30(c85,c70),X_12898),f22(f24(c71,c81),c82))
| p57(f26(f30(c85,c70),X_12898),f22(f24(c71,c83),c84)) ),
inference(resolve,[$cnf( p57(f26(f30(c85,c70),f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82))
| p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),c84)) ),
inference(subst,[],[refute_0_16:[bind(X_12898,$fot(f22(f24(c71,c79),c80)))]]) ).
cnf(refute_0_18,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),c84)),
inference(resolve,[$cnf( p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)) )],[refute_0_12,refute_0_17]) ).
cnf(refute_0_19,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
inference(resolve,[$cnf( p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),c84)) )],[refute_0_18,refute_0_10]) ).
cnf(refute_0_20,plain,
$false,
inference(resolve,[$cnf( p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))) )],[refute_0_19,not_p57_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN718-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 12:13:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 8.08/8.26 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.08/8.26
% 8.08/8.26 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.08/8.27
%------------------------------------------------------------------------------