TSTP Solution File: SYN626-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN626-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 09:04:25 EDT 2022
% Result : Unsatisfiable 1.92s 2.09s
% Output : CNFRefutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of clauses : 43 ( 19 unt; 0 nHn; 32 RR)
% Number of literals : 78 ( 0 equ; 36 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p11_1,negated_conjecture,
p11(X0,X0) ).
cnf(p6_3,negated_conjecture,
p6(X47,X47) ).
cnf(p11_6,negated_conjecture,
p11(f13(f12(X5)),X5) ).
cnf(p16_8,negated_conjecture,
( p16(X14,X15)
| ~ p15(X14,X15) ) ).
cnf(p15_9,negated_conjecture,
p15(c22,f8(f5(c20),f9(c23,c24))) ).
cnf(p7_12,negated_conjecture,
( p7(f12(X57),f12(X58))
| ~ p11(X57,X58) ) ).
cnf(p7_15,negated_conjecture,
( p7(f12(f13(X20)),X20)
| ~ p16(c22,X20) ) ).
cnf(p11_16,negated_conjecture,
( p11(X1,X2)
| ~ p11(X0,X1)
| ~ p11(X0,X2) ) ).
cnf(p7_17,negated_conjecture,
( p7(X55,X56)
| ~ p7(X54,X55)
| ~ p7(X54,X56) ) ).
cnf(not_p15_24,negated_conjecture,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))) ).
cnf(p15_31,negated_conjecture,
( p15(X10,X11)
| ~ p6(X12,X10)
| ~ p7(X13,X11)
| ~ p15(X12,X13) ) ).
cnf(refute_0_0,plain,
p11(f13(f12(X_13)),X_13),
inference(subst,[],[p11_6:[bind(X5,$fot(X_13))]]) ).
cnf(refute_0_1,plain,
( ~ p11(f13(f12(X_13)),X_13)
| p7(f12(f13(f12(X_13))),f12(X_13)) ),
inference(subst,[],[p7_12:[bind(X57,$fot(f13(f12(X_13)))),bind(X58,$fot(X_13))]]) ).
cnf(refute_0_2,plain,
p7(f12(f13(f12(X_13))),f12(X_13)),
inference(resolve,[$cnf( p11(f13(f12(X_13)),X_13) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
p6(X_397,X_397),
inference(subst,[],[p6_3:[bind(X47,$fot(X_397))]]) ).
cnf(refute_0_4,plain,
( ~ p15(X_397,X_400)
| ~ p6(X_397,X_397)
| ~ p7(X_400,X_398)
| p15(X_397,X_398) ),
inference(subst,[],[p15_31:[bind(X10,$fot(X_397)),bind(X11,$fot(X_398)),bind(X12,$fot(X_397)),bind(X13,$fot(X_400))]]) ).
cnf(refute_0_5,plain,
( ~ p15(X_397,X_400)
| ~ p7(X_400,X_398)
| p15(X_397,X_398) ),
inference(resolve,[$cnf( p6(X_397,X_397) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ p15(X_401,f12(f13(f12(X_13))))
| ~ p7(f12(f13(f12(X_13))),f12(X_13))
| p15(X_401,f12(X_13)) ),
inference(subst,[],[refute_0_5:[bind(X_397,$fot(X_401)),bind(X_398,$fot(f12(X_13))),bind(X_400,$fot(f12(f13(f12(X_13)))))]]) ).
cnf(refute_0_7,plain,
( ~ p15(X_401,f12(f13(f12(X_13))))
| p15(X_401,f12(X_13)) ),
inference(resolve,[$cnf( p7(f12(f13(f12(X_13))),f12(X_13)) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ p15(c22,f12(f13(f12(f13(f8(f5(c20),f9(c23,c24)))))))
| p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))) ),
inference(subst,[],[refute_0_7:[bind(X_13,$fot(f13(f8(f5(c20),f9(c23,c24))))),bind(X_401,$fot(c22))]]) ).
cnf(refute_0_9,plain,
( ~ p16(c22,f8(f5(c20),f9(c23,c24)))
| p7(f12(f13(f8(f5(c20),f9(c23,c24)))),f8(f5(c20),f9(c23,c24))) ),
inference(subst,[],[p7_15:[bind(X20,$fot(f8(f5(c20),f9(c23,c24))))]]) ).
cnf(refute_0_10,plain,
( ~ p15(c22,f8(f5(c20),f9(c23,c24)))
| p16(c22,f8(f5(c20),f9(c23,c24))) ),
inference(subst,[],[p16_8:[bind(X14,$fot(c22)),bind(X15,$fot(f8(f5(c20),f9(c23,c24))))]]) ).
cnf(refute_0_11,plain,
p16(c22,f8(f5(c20),f9(c23,c24))),
inference(resolve,[$cnf( p15(c22,f8(f5(c20),f9(c23,c24))) )],[p15_9,refute_0_10]) ).
cnf(refute_0_12,plain,
p7(f12(f13(f8(f5(c20),f9(c23,c24)))),f8(f5(c20),f9(c23,c24))),
inference(resolve,[$cnf( p16(c22,f8(f5(c20),f9(c23,c24))) )],[refute_0_11,refute_0_9]) ).
cnf(refute_0_13,plain,
( ~ p11(X_35,f13(f12(X_35)))
| p7(f12(X_35),f12(f13(f12(X_35)))) ),
inference(subst,[],[p7_12:[bind(X57,$fot(X_35)),bind(X58,$fot(f13(f12(X_35))))]]) ).
cnf(refute_0_14,plain,
p11(f13(f12(X_33)),X_33),
inference(subst,[],[p11_6:[bind(X5,$fot(X_33))]]) ).
cnf(refute_0_15,plain,
p11(X_32,X_32),
inference(subst,[],[p11_1:[bind(X0,$fot(X_32))]]) ).
cnf(refute_0_16,plain,
( ~ p11(X_32,X_31)
| ~ p11(X_32,X_32)
| p11(X_31,X_32) ),
inference(subst,[],[p11_16:[bind(X0,$fot(X_32)),bind(X1,$fot(X_31)),bind(X2,$fot(X_32))]]) ).
cnf(refute_0_17,plain,
( ~ p11(X_32,X_31)
| p11(X_31,X_32) ),
inference(resolve,[$cnf( p11(X_32,X_32) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ p11(f13(f12(X_33)),X_33)
| p11(X_33,f13(f12(X_33))) ),
inference(subst,[],[refute_0_17:[bind(X_31,$fot(X_33)),bind(X_32,$fot(f13(f12(X_33))))]]) ).
cnf(refute_0_19,plain,
p11(X_33,f13(f12(X_33))),
inference(resolve,[$cnf( p11(f13(f12(X_33)),X_33) )],[refute_0_14,refute_0_18]) ).
cnf(refute_0_20,plain,
p11(X_35,f13(f12(X_35))),
inference(subst,[],[refute_0_19:[bind(X_33,$fot(X_35))]]) ).
cnf(refute_0_21,plain,
p7(f12(X_35),f12(f13(f12(X_35)))),
inference(resolve,[$cnf( p11(X_35,f13(f12(X_35))) )],[refute_0_20,refute_0_13]) ).
cnf(refute_0_22,plain,
( ~ p7(f12(X_35),X_86)
| ~ p7(f12(X_35),f12(f13(f12(X_35))))
| p7(X_86,f12(f13(f12(X_35)))) ),
inference(subst,[],[p7_17:[bind(X54,$fot(f12(X_35))),bind(X55,$fot(X_86)),bind(X56,$fot(f12(f13(f12(X_35)))))]]) ).
cnf(refute_0_23,plain,
( ~ p7(f12(X_35),X_86)
| p7(X_86,f12(f13(f12(X_35)))) ),
inference(resolve,[$cnf( p7(f12(X_35),f12(f13(f12(X_35)))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ p7(f12(f13(f8(f5(c20),f9(c23,c24)))),f8(f5(c20),f9(c23,c24)))
| p7(f8(f5(c20),f9(c23,c24)),f12(f13(f12(f13(f8(f5(c20),f9(c23,c24))))))) ),
inference(subst,[],[refute_0_23:[bind(X_35,$fot(f13(f8(f5(c20),f9(c23,c24))))),bind(X_86,$fot(f8(f5(c20),f9(c23,c24))))]]) ).
cnf(refute_0_25,plain,
p7(f8(f5(c20),f9(c23,c24)),f12(f13(f12(f13(f8(f5(c20),f9(c23,c24))))))),
inference(resolve,[$cnf( p7(f12(f13(f8(f5(c20),f9(c23,c24)))),f8(f5(c20),f9(c23,c24))) )],[refute_0_12,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ p15(X_401,f8(f5(c20),f9(c23,c24)))
| ~ p7(f8(f5(c20),f9(c23,c24)),f12(f13(f12(f13(f8(f5(c20),f9(c23,c24)))))))
| p15(X_401,f12(f13(f12(f13(f8(f5(c20),f9(c23,c24))))))) ),
inference(subst,[],[refute_0_5:[bind(X_397,$fot(X_401)),bind(X_398,$fot(f12(f13(f12(f13(f8(f5(c20),f9(c23,c24)))))))),bind(X_400,$fot(f8(f5(c20),f9(c23,c24))))]]) ).
cnf(refute_0_27,plain,
( ~ p15(X_401,f8(f5(c20),f9(c23,c24)))
| p15(X_401,f12(f13(f12(f13(f8(f5(c20),f9(c23,c24))))))) ),
inference(resolve,[$cnf( p7(f8(f5(c20),f9(c23,c24)),f12(f13(f12(f13(f8(f5(c20),f9(c23,c24))))))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ p15(c22,f8(f5(c20),f9(c23,c24)))
| p15(c22,f12(f13(f12(f13(f8(f5(c20),f9(c23,c24))))))) ),
inference(subst,[],[refute_0_27:[bind(X_401,$fot(c22))]]) ).
cnf(refute_0_29,plain,
p15(c22,f12(f13(f12(f13(f8(f5(c20),f9(c23,c24))))))),
inference(resolve,[$cnf( p15(c22,f8(f5(c20),f9(c23,c24))) )],[p15_9,refute_0_28]) ).
cnf(refute_0_30,plain,
p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
inference(resolve,[$cnf( p15(c22,f12(f13(f12(f13(f8(f5(c20),f9(c23,c24))))))) )],[refute_0_29,refute_0_8]) ).
cnf(refute_0_31,plain,
$false,
inference(resolve,[$cnf( p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))) )],[refute_0_30,not_p15_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN626-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n023.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 18:40:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.92/2.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.92/2.09
% 1.92/2.09 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.92/2.09
%------------------------------------------------------------------------------