TSTP Solution File: SYN618-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN618-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 09:04:22 EDT 2022
% Result : Unsatisfiable 0.43s 0.61s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of clauses : 44 ( 21 unt; 0 nHn; 38 RR)
% Number of literals : 78 ( 0 equ; 35 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p5_3,negated_conjecture,
p5(X34,X34) ).
cnf(p13_8,negated_conjecture,
p13(c23,c21) ).
cnf(p13_9,negated_conjecture,
p13(c19,c23) ).
cnf(p2_12,negated_conjecture,
p2(c17,f3(c16)) ).
cnf(p5_16,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))) ).
cnf(not_p5_17,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))) ).
cnf(p5_22,negated_conjecture,
( p5(X35,X36)
| ~ p5(X34,X35)
| ~ p5(X34,X36) ) ).
cnf(p5_30,negated_conjecture,
( p5(f8(X40,X41),f8(X42,X43))
| ~ p2(X40,X42)
| ~ p5(X41,X43) ) ).
cnf(p5_31,negated_conjecture,
( p5(X37,c20)
| ~ p13(X37,c21)
| ~ p13(c19,X37)
| ~ p5(f8(c17,X37),f6(f7(c22))) ) ).
cnf(refute_0_0,plain,
p5(X_19,X_19),
inference(subst,[],[p5_3:[bind(X34,$fot(X_19))]]) ).
cnf(refute_0_1,plain,
( ~ p5(X_19,X_18)
| ~ p5(X_19,X_19)
| p5(X_18,X_19) ),
inference(subst,[],[p5_22:[bind(X34,$fot(X_19)),bind(X35,$fot(X_18)),bind(X36,$fot(X_19))]]) ).
cnf(refute_0_2,plain,
( ~ p5(X_19,X_18)
| p5(X_18,X_19) ),
inference(resolve,[$cnf( p5(X_19,X_19) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ p5(f6(f7(c22)),f8(f3(c16),c20))
| p5(f8(f3(c16),c20),f6(f7(c22))) ),
inference(subst,[],[refute_0_2:[bind(X_18,$fot(f8(f3(c16),c20))),bind(X_19,$fot(f6(f7(c22))))]]) ).
cnf(refute_0_4,plain,
( ~ p5(f8(f3(c16),c23),X_18)
| ~ p5(f8(f3(c16),c23),f6(f7(c22)))
| p5(X_18,f6(f7(c22))) ),
inference(subst,[],[p5_22:[bind(X34,$fot(f8(f3(c16),c23))),bind(X35,$fot(X_18)),bind(X36,$fot(f6(f7(c22))))]]) ).
cnf(refute_0_5,plain,
( ~ p5(f8(f3(c16),c23),X_18)
| p5(X_18,f6(f7(c22))) ),
inference(resolve,[$cnf( p5(f8(f3(c16),c23),f6(f7(c22))) )],[p5_16,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ p5(f8(f3(c16),c23),f8(c17,c20))
| p5(f8(c17,c20),f6(f7(c22))) ),
inference(subst,[],[refute_0_5:[bind(X_18,$fot(f8(c17,c20)))]]) ).
cnf(refute_0_7,plain,
( ~ p5(f8(c17,c20),f8(f3(c16),c23))
| p5(f8(f3(c16),c23),f8(c17,c20)) ),
inference(subst,[],[refute_0_2:[bind(X_18,$fot(f8(f3(c16),c23))),bind(X_19,$fot(f8(c17,c20)))]]) ).
cnf(refute_0_8,plain,
( ~ p2(c17,f3(c16))
| ~ p5(X_86,X_88)
| p5(f8(c17,X_86),f8(f3(c16),X_88)) ),
inference(subst,[],[p5_30:[bind(X40,$fot(c17)),bind(X41,$fot(X_86)),bind(X42,$fot(f3(c16))),bind(X43,$fot(X_88))]]) ).
cnf(refute_0_9,plain,
( ~ p5(X_86,X_88)
| p5(f8(c17,X_86),f8(f3(c16),X_88)) ),
inference(resolve,[$cnf( p2(c17,f3(c16)) )],[p2_12,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ p5(c20,c23)
| p5(f8(c17,c20),f8(f3(c16),c23)) ),
inference(subst,[],[refute_0_9:[bind(X_86,$fot(c20)),bind(X_88,$fot(c23))]]) ).
cnf(refute_0_11,plain,
( ~ p5(c23,c20)
| p5(c20,c23) ),
inference(subst,[],[refute_0_2:[bind(X_18,$fot(c20)),bind(X_19,$fot(c23))]]) ).
cnf(refute_0_12,plain,
( ~ p13(c19,c23)
| ~ p13(c23,c21)
| ~ p5(f8(c17,c23),f6(f7(c22)))
| p5(c23,c20) ),
inference(subst,[],[p5_31:[bind(X37,$fot(c23))]]) ).
cnf(refute_0_13,plain,
( ~ p5(f8(f3(c16),c23),f8(c17,c23))
| p5(f8(c17,c23),f6(f7(c22))) ),
inference(subst,[],[refute_0_5:[bind(X_18,$fot(f8(c17,c23)))]]) ).
cnf(refute_0_14,plain,
( ~ p5(f8(c17,X_91),f8(f3(c16),X_91))
| p5(f8(f3(c16),X_91),f8(c17,X_91)) ),
inference(subst,[],[refute_0_2:[bind(X_18,$fot(f8(f3(c16),X_91))),bind(X_19,$fot(f8(c17,X_91)))]]) ).
cnf(refute_0_15,plain,
p5(X_90,X_90),
inference(subst,[],[p5_3:[bind(X34,$fot(X_90))]]) ).
cnf(refute_0_16,plain,
( ~ p5(X_90,X_90)
| p5(f8(c17,X_90),f8(f3(c16),X_90)) ),
inference(subst,[],[refute_0_9:[bind(X_86,$fot(X_90)),bind(X_88,$fot(X_90))]]) ).
cnf(refute_0_17,plain,
p5(f8(c17,X_90),f8(f3(c16),X_90)),
inference(resolve,[$cnf( p5(X_90,X_90) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
p5(f8(c17,X_91),f8(f3(c16),X_91)),
inference(subst,[],[refute_0_17:[bind(X_90,$fot(X_91))]]) ).
cnf(refute_0_19,plain,
p5(f8(f3(c16),X_91),f8(c17,X_91)),
inference(resolve,[$cnf( p5(f8(c17,X_91),f8(f3(c16),X_91)) )],[refute_0_18,refute_0_14]) ).
cnf(refute_0_20,plain,
p5(f8(f3(c16),c23),f8(c17,c23)),
inference(subst,[],[refute_0_19:[bind(X_91,$fot(c23))]]) ).
cnf(refute_0_21,plain,
p5(f8(c17,c23),f6(f7(c22))),
inference(resolve,[$cnf( p5(f8(f3(c16),c23),f8(c17,c23)) )],[refute_0_20,refute_0_13]) ).
cnf(refute_0_22,plain,
( ~ p13(c19,c23)
| ~ p13(c23,c21)
| p5(c23,c20) ),
inference(resolve,[$cnf( p5(f8(c17,c23),f6(f7(c22))) )],[refute_0_21,refute_0_12]) ).
cnf(refute_0_23,plain,
( ~ p13(c23,c21)
| p5(c23,c20) ),
inference(resolve,[$cnf( p13(c19,c23) )],[p13_9,refute_0_22]) ).
cnf(refute_0_24,plain,
p5(c23,c20),
inference(resolve,[$cnf( p13(c23,c21) )],[p13_8,refute_0_23]) ).
cnf(refute_0_25,plain,
p5(c20,c23),
inference(resolve,[$cnf( p5(c23,c20) )],[refute_0_24,refute_0_11]) ).
cnf(refute_0_26,plain,
p5(f8(c17,c20),f8(f3(c16),c23)),
inference(resolve,[$cnf( p5(c20,c23) )],[refute_0_25,refute_0_10]) ).
cnf(refute_0_27,plain,
p5(f8(f3(c16),c23),f8(c17,c20)),
inference(resolve,[$cnf( p5(f8(c17,c20),f8(f3(c16),c23)) )],[refute_0_26,refute_0_7]) ).
cnf(refute_0_28,plain,
p5(f8(c17,c20),f6(f7(c22))),
inference(resolve,[$cnf( p5(f8(f3(c16),c23),f8(c17,c20)) )],[refute_0_27,refute_0_6]) ).
cnf(refute_0_29,plain,
( ~ p5(f8(c17,X_91),X35)
| ~ p5(f8(c17,X_91),f8(f3(c16),X_91))
| p5(X35,f8(f3(c16),X_91)) ),
inference(subst,[],[p5_22:[bind(X34,$fot(f8(c17,X_91))),bind(X36,$fot(f8(f3(c16),X_91)))]]) ).
cnf(refute_0_30,plain,
( ~ p5(f8(c17,X_91),X35)
| p5(X35,f8(f3(c16),X_91)) ),
inference(resolve,[$cnf( p5(f8(c17,X_91),f8(f3(c16),X_91)) )],[refute_0_18,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ p5(f8(c17,c20),f6(f7(c22)))
| p5(f6(f7(c22)),f8(f3(c16),c20)) ),
inference(subst,[],[refute_0_30:[bind(X35,$fot(f6(f7(c22)))),bind(X_91,$fot(c20))]]) ).
cnf(refute_0_32,plain,
p5(f6(f7(c22)),f8(f3(c16),c20)),
inference(resolve,[$cnf( p5(f8(c17,c20),f6(f7(c22))) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
p5(f8(f3(c16),c20),f6(f7(c22))),
inference(resolve,[$cnf( p5(f6(f7(c22)),f8(f3(c16),c20)) )],[refute_0_32,refute_0_3]) ).
cnf(refute_0_34,plain,
$false,
inference(resolve,[$cnf( p5(f8(f3(c16),c20),f6(f7(c22))) )],[refute_0_33,not_p5_17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN618-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n017.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 : Mon Jul 11 21:37:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.43/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.61
% 0.43/0.61 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.43/0.61
%------------------------------------------------------------------------------