TSTP Solution File: GRP002-10 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP002-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %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 : 300s
% DateTime : Thu Aug 31 01:20:15 EDT 2023
% Result : Unsatisfiable 41.82s 6.38s
% Output : Refutation 41.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 27
% Syntax : Number of formulae : 375 ( 375 unt; 0 def)
% Number of atoms : 375 ( 374 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-4 aty)
% Number of variables : 404 (; 404 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f319238,plain,
$false,
inference(subsumption_resolution,[],[f319237,f41]) ).
fof(f41,plain,
sF3 != sF8,
inference(backward_demodulation,[],[f35,f38]) ).
fof(f38,plain,
sF1 = sF8,
inference(forward_demodulation,[],[f33,f22]) ).
fof(f22,plain,
true = sF1,
inference(definition_folding,[],[f16,f21]) ).
fof(f21,plain,
product(h,b,j) = sF1,
introduced(function_definition,[]) ).
fof(f16,axiom,
true = product(h,b,j),
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',h_times_b_is_j) ).
fof(f33,plain,
true = sF8,
inference(definition_folding,[],[f15,f32,f23]) ).
fof(f23,plain,
inverse(b) = sF2,
introduced(function_definition,[]) ).
fof(f32,plain,
product(d,sF2,h) = sF8,
introduced(function_definition,[]) ).
fof(f15,axiom,
true = product(d,inverse(b),h),
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',d_times_inverse_b_is_h) ).
fof(f35,plain,
sF1 != sF3,
inference(forward_demodulation,[],[f25,f22]) ).
fof(f25,plain,
true != sF3,
inference(definition_folding,[],[f18,f24,f23]) ).
fof(f24,plain,
product(k,sF2,identity) = sF3,
introduced(function_definition,[]) ).
fof(f18,axiom,
true != product(k,inverse(b),identity),
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',prove_k_times_inverse_b_is_e) ).
fof(f319237,plain,
sF3 = sF8,
inference(forward_demodulation,[],[f318616,f24]) ).
fof(f318616,plain,
product(k,sF2,identity) = sF8,
inference(backward_demodulation,[],[f55,f318591]) ).
fof(f318591,plain,
b = k,
inference(forward_demodulation,[],[f318505,f3596]) ).
fof(f3596,plain,
b = multiply(sF4,c),
inference(forward_demodulation,[],[f3563,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',ifeq_axiom) ).
fof(f3563,plain,
multiply(sF4,c) = ifeq2(sF8,sF8,b,multiply(sF4,c)),
inference(superposition,[],[f154,f3512]) ).
fof(f3512,plain,
sF8 = product(sF4,c,b),
inference(forward_demodulation,[],[f3511,f26]) ).
fof(f26,plain,
inverse(a) = sF4,
introduced(function_definition,[]) ).
fof(f3511,plain,
sF8 = product(inverse(a),c,b),
inference(forward_demodulation,[],[f3504,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',ifeq_axiom_001) ).
fof(f3504,plain,
sF8 = ifeq(sF8,sF8,product(inverse(a),c,b),sF8),
inference(superposition,[],[f1030,f50]) ).
fof(f50,plain,
! [X3] : product(inverse(X3),X3,identity) = sF8,
inference(forward_demodulation,[],[f5,f43]) ).
fof(f43,plain,
true = sF8,
inference(backward_demodulation,[],[f22,f38]) ).
fof(f5,axiom,
! [X3] : true = product(inverse(X3),X3,identity),
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',left_inverse) ).
fof(f1030,plain,
! [X22] : sF8 = ifeq(product(X22,a,identity),sF8,product(X22,c,b),sF8),
inference(forward_demodulation,[],[f976,f2]) ).
fof(f976,plain,
! [X22] : sF8 = ifeq(sF8,sF8,ifeq(product(X22,a,identity),sF8,product(X22,c,b),sF8),sF8),
inference(superposition,[],[f306,f46]) ).
fof(f46,plain,
product(a,b,c) = sF8,
inference(forward_demodulation,[],[f19,f42]) ).
fof(f42,plain,
sF0 = sF8,
inference(backward_demodulation,[],[f34,f38]) ).
fof(f34,plain,
sF0 = sF1,
inference(backward_demodulation,[],[f20,f22]) ).
fof(f20,plain,
true = sF0,
inference(definition_folding,[],[f13,f19]) ).
fof(f13,axiom,
true = product(a,b,c),
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',a_times_b_is_c) ).
fof(f19,plain,
product(a,b,c) = sF0,
introduced(function_definition,[]) ).
fof(f306,plain,
! [X2,X3,X0,X1] : sF8 = ifeq(product(X1,X0,X2),sF8,ifeq(product(X3,X1,identity),sF8,product(X3,X2,X0),sF8),sF8),
inference(forward_demodulation,[],[f228,f2]) ).
fof(f228,plain,
! [X2,X3,X0,X1] : sF8 = ifeq(sF8,sF8,ifeq(product(X1,X0,X2),sF8,ifeq(product(X3,X1,identity),sF8,product(X3,X2,X0),sF8),sF8),sF8),
inference(superposition,[],[f198,f44]) ).
fof(f44,plain,
! [X3] : product(identity,X3,X3) = sF8,
inference(forward_demodulation,[],[f3,f43]) ).
fof(f3,axiom,
! [X3] : product(identity,X3,X3) = true,
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',left_identity) ).
fof(f198,plain,
! [X3,X8,X6,X7,X4,X5] : sF8 = ifeq(product(X7,X6,X5),sF8,ifeq(product(X4,X6,X8),sF8,ifeq(product(X3,X4,X7),sF8,product(X3,X8,X5),sF8),sF8),sF8),
inference(forward_demodulation,[],[f9,f43]) ).
fof(f9,axiom,
! [X3,X8,X6,X7,X4,X5] : true = ifeq(product(X7,X6,X5),true,ifeq(product(X4,X6,X8),true,ifeq(product(X3,X4,X7),true,product(X3,X8,X5),true),true),true),
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',associativity1) ).
fof(f154,plain,
! [X21,X19,X20] : multiply(X19,X20) = ifeq2(product(X19,X20,X21),sF8,X21,multiply(X19,X20)),
inference(forward_demodulation,[],[f117,f1]) ).
fof(f117,plain,
! [X21,X19,X20] : multiply(X19,X20) = ifeq2(sF8,sF8,ifeq2(product(X19,X20,X21),sF8,X21,multiply(X19,X20)),multiply(X19,X20)),
inference(superposition,[],[f103,f58]) ).
fof(f58,plain,
! [X3,X4] : product(X3,X4,multiply(X3,X4)) = sF8,
inference(forward_demodulation,[],[f7,f43]) ).
fof(f7,axiom,
! [X3,X4] : true = product(X3,X4,multiply(X3,X4)),
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',total_function1) ).
fof(f103,plain,
! [X3,X6,X4,X5] : ifeq2(product(X3,X4,X5),sF8,ifeq2(product(X3,X4,X6),sF8,X6,X5),X5) = X5,
inference(forward_demodulation,[],[f8,f43]) ).
fof(f8,axiom,
! [X3,X6,X4,X5] : ifeq2(product(X3,X4,X5),true,ifeq2(product(X3,X4,X6),true,X6,X5),X5) = X5,
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',total_function2) ).
fof(f318505,plain,
k = multiply(sF4,c),
inference(superposition,[],[f9484,f318386]) ).
fof(f318386,plain,
c = multiply(a,k),
inference(forward_demodulation,[],[f318385,f288030]) ).
fof(f288030,plain,
multiply(a,k) = multiply(multiply(sF6,c),h),
inference(forward_demodulation,[],[f287916,f124627]) ).
fof(f124627,plain,
! [X83] : multiply(X83,k) = multiply(multiply(X83,j),sF6),
inference(forward_demodulation,[],[f124347,f1]) ).
fof(f124347,plain,
! [X83] : multiply(X83,k) = ifeq2(sF8,sF8,multiply(multiply(X83,j),sF6),multiply(X83,k)),
inference(superposition,[],[f154,f99874]) ).
fof(f99874,plain,
! [X2] : sF8 = product(X2,k,multiply(multiply(X2,j),sF6)),
inference(forward_demodulation,[],[f99831,f2]) ).
fof(f99831,plain,
! [X2] : sF8 = ifeq(sF8,sF8,product(X2,k,multiply(multiply(X2,j),sF6)),sF8),
inference(superposition,[],[f2183,f58]) ).
fof(f2183,plain,
! [X4,X5] : sF8 = ifeq(product(X5,j,X4),sF8,product(X5,k,multiply(X4,sF6)),sF8),
inference(forward_demodulation,[],[f2166,f2]) ).
fof(f2166,plain,
! [X4,X5] : sF8 = ifeq(sF8,sF8,ifeq(product(X5,j,X4),sF8,product(X5,k,multiply(X4,sF6)),sF8),sF8),
inference(superposition,[],[f341,f58]) ).
fof(f341,plain,
! [X62,X63,X64] : sF8 = ifeq(product(X62,sF6,X63),sF8,ifeq(product(X64,j,X62),sF8,product(X64,k,X63),sF8),sF8),
inference(forward_demodulation,[],[f265,f2]) ).
fof(f265,plain,
! [X62,X63,X64] : sF8 = ifeq(product(X62,sF6,X63),sF8,ifeq(sF8,sF8,ifeq(product(X64,j,X62),sF8,product(X64,k,X63),sF8),sF8),sF8),
inference(superposition,[],[f198,f49]) ).
fof(f49,plain,
product(j,sF6,k) = sF8,
inference(forward_demodulation,[],[f30,f39]) ).
fof(f39,plain,
sF7 = sF8,
inference(backward_demodulation,[],[f37,f38]) ).
fof(f37,plain,
sF1 = sF7,
inference(forward_demodulation,[],[f31,f22]) ).
fof(f31,plain,
true = sF7,
inference(definition_folding,[],[f17,f30,f29]) ).
fof(f29,plain,
inverse(h) = sF6,
introduced(function_definition,[]) ).
fof(f17,axiom,
true = product(j,inverse(h),k),
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',j_times_inverse_h_is_k) ).
fof(f30,plain,
product(j,sF6,k) = sF7,
introduced(function_definition,[]) ).
fof(f287916,plain,
multiply(multiply(sF6,c),h) = multiply(multiply(a,j),sF6),
inference(superposition,[],[f287714,f276884]) ).
fof(f276884,plain,
multiply(sF6,c) = multiply(multiply(a,j),h),
inference(forward_demodulation,[],[f276883,f39538]) ).
fof(f39538,plain,
multiply(sF6,c) = multiply(b,a),
inference(superposition,[],[f9950,f39462]) ).
fof(f39462,plain,
c = multiply(h,multiply(b,a)),
inference(forward_demodulation,[],[f39386,f1]) ).
fof(f39386,plain,
multiply(h,multiply(b,a)) = ifeq2(sF8,sF8,c,multiply(h,multiply(b,a))),
inference(superposition,[],[f154,f39327]) ).
fof(f39327,plain,
sF8 = product(h,multiply(b,a),c),
inference(forward_demodulation,[],[f39326,f27997]) ).
fof(f27997,plain,
multiply(b,a) = inverse(multiply(sF4,sF2)),
inference(superposition,[],[f19265,f27787]) ).
fof(f27787,plain,
! [X10] : b = multiply(inverse(multiply(X10,sF2)),X10),
inference(superposition,[],[f27687,f18776]) ).
fof(f18776,plain,
! [X18] : multiply(multiply(X18,sF2),b) = X18,
inference(forward_demodulation,[],[f18654,f1]) ).
fof(f18654,plain,
! [X18] : multiply(multiply(X18,sF2),b) = ifeq2(sF8,sF8,X18,multiply(multiply(X18,sF2),b)),
inference(superposition,[],[f154,f18168]) ).
fof(f18168,plain,
! [X1] : sF8 = product(multiply(X1,sF2),b,X1),
inference(forward_demodulation,[],[f18134,f2]) ).
fof(f18134,plain,
! [X1] : sF8 = ifeq(sF8,sF8,product(multiply(X1,sF2),b,X1),sF8),
inference(superposition,[],[f4059,f58]) ).
fof(f4059,plain,
! [X21,X20] : sF8 = ifeq(product(X20,sF2,X21),sF8,product(X21,b,X20),sF8),
inference(forward_demodulation,[],[f3985,f2]) ).
fof(f3985,plain,
! [X21,X20] : sF8 = ifeq(sF8,sF8,ifeq(product(X20,sF2,X21),sF8,product(X21,b,X20),sF8),sF8),
inference(superposition,[],[f515,f51]) ).
fof(f51,plain,
sF8 = product(sF2,b,identity),
inference(superposition,[],[f50,f23]) ).
fof(f515,plain,
! [X6,X7,X4,X5] : sF8 = ifeq(product(X5,X6,identity),sF8,ifeq(product(X4,X5,X7),sF8,product(X7,X6,X4),sF8),sF8),
inference(forward_demodulation,[],[f438,f2]) ).
fof(f438,plain,
! [X6,X7,X4,X5] : sF8 = ifeq(product(X5,X6,identity),sF8,ifeq(sF8,sF8,ifeq(product(X4,X5,X7),sF8,product(X7,X6,X4),sF8),sF8),sF8),
inference(superposition,[],[f384,f45]) ).
fof(f45,plain,
! [X3] : product(X3,identity,X3) = sF8,
inference(forward_demodulation,[],[f4,f43]) ).
fof(f4,axiom,
! [X3] : true = product(X3,identity,X3),
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',right_identity) ).
fof(f384,plain,
! [X3,X8,X6,X7,X4,X5] : sF8 = ifeq(product(X4,X6,X8),sF8,ifeq(product(X3,X8,X5),sF8,ifeq(product(X3,X4,X7),sF8,product(X7,X6,X5),sF8),sF8),sF8),
inference(forward_demodulation,[],[f10,f43]) ).
fof(f10,axiom,
! [X3,X8,X6,X7,X4,X5] : true = ifeq(product(X4,X6,X8),true,ifeq(product(X3,X8,X5),true,ifeq(product(X3,X4,X7),true,product(X7,X6,X5),true),true),true),
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',associativity2) ).
fof(f27687,plain,
! [X2,X1] : multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(superposition,[],[f27466,f23697]) ).
fof(f23697,plain,
! [X7] : inverse(inverse(X7)) = X7,
inference(forward_demodulation,[],[f23443,f1]) ).
fof(f23443,plain,
! [X7] : ifeq2(sF8,sF8,inverse(inverse(X7)),X7) = X7,
inference(superposition,[],[f143,f23323]) ).
fof(f23323,plain,
! [X0] : sF8 = product(X0,identity,inverse(inverse(X0))),
inference(forward_demodulation,[],[f23274,f2]) ).
fof(f23274,plain,
! [X0] : sF8 = ifeq(sF8,sF8,product(X0,identity,inverse(inverse(X0))),sF8),
inference(superposition,[],[f1019,f54]) ).
fof(f54,plain,
! [X3] : product(X3,inverse(X3),identity) = sF8,
inference(forward_demodulation,[],[f6,f43]) ).
fof(f6,axiom,
! [X3] : true = product(X3,inverse(X3),identity),
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',right_inverse) ).
fof(f1019,plain,
! [X4,X5] : sF8 = ifeq(product(X5,X4,identity),sF8,product(X5,identity,inverse(X4)),sF8),
inference(forward_demodulation,[],[f964,f2]) ).
fof(f964,plain,
! [X4,X5] : sF8 = ifeq(sF8,sF8,ifeq(product(X5,X4,identity),sF8,product(X5,identity,inverse(X4)),sF8),sF8),
inference(superposition,[],[f306,f54]) ).
fof(f143,plain,
! [X2,X3] : ifeq2(product(X2,identity,X3),sF8,X3,X2) = X2,
inference(forward_demodulation,[],[f105,f1]) ).
fof(f105,plain,
! [X2,X3] : ifeq2(sF8,sF8,ifeq2(product(X2,identity,X3),sF8,X3,X2),X2) = X2,
inference(superposition,[],[f103,f45]) ).
fof(f27466,plain,
! [X142,X143] : multiply(X142,multiply(inverse(X142),X143)) = X143,
inference(forward_demodulation,[],[f27129,f1]) ).
fof(f27129,plain,
! [X142,X143] : multiply(X142,multiply(inverse(X142),X143)) = ifeq2(sF8,sF8,X143,multiply(X142,multiply(inverse(X142),X143))),
inference(superposition,[],[f154,f24116]) ).
fof(f24116,plain,
! [X4,X5] : sF8 = product(X4,multiply(inverse(X4),X5),X5),
inference(forward_demodulation,[],[f24022,f2]) ).
fof(f24022,plain,
! [X4,X5] : sF8 = ifeq(sF8,sF8,product(X4,multiply(inverse(X4),X5),X5),sF8),
inference(superposition,[],[f1035,f58]) ).
fof(f1035,plain,
! [X2,X0,X1] : sF8 = ifeq(product(inverse(X0),X1,X2),sF8,product(X0,X2,X1),sF8),
inference(forward_demodulation,[],[f981,f2]) ).
fof(f981,plain,
! [X2,X0,X1] : sF8 = ifeq(product(inverse(X0),X1,X2),sF8,ifeq(sF8,sF8,product(X0,X2,X1),sF8),sF8),
inference(superposition,[],[f306,f54]) ).
fof(f19265,plain,
! [X10] : multiply(multiply(X10,sF4),a) = X10,
inference(forward_demodulation,[],[f19149,f1]) ).
fof(f19149,plain,
! [X10] : multiply(multiply(X10,sF4),a) = ifeq2(sF8,sF8,X10,multiply(multiply(X10,sF4),a)),
inference(superposition,[],[f154,f18953]) ).
fof(f18953,plain,
! [X1] : sF8 = product(multiply(X1,sF4),a,X1),
inference(forward_demodulation,[],[f18920,f2]) ).
fof(f18920,plain,
! [X1] : sF8 = ifeq(sF8,sF8,product(multiply(X1,sF4),a,X1),sF8),
inference(superposition,[],[f4060,f58]) ).
fof(f4060,plain,
! [X22,X23] : sF8 = ifeq(product(X22,sF4,X23),sF8,product(X23,a,X22),sF8),
inference(forward_demodulation,[],[f3986,f2]) ).
fof(f3986,plain,
! [X22,X23] : sF8 = ifeq(sF8,sF8,ifeq(product(X22,sF4,X23),sF8,product(X23,a,X22),sF8),sF8),
inference(superposition,[],[f515,f52]) ).
fof(f52,plain,
sF8 = product(sF4,a,identity),
inference(superposition,[],[f50,f26]) ).
fof(f39326,plain,
sF8 = product(h,inverse(multiply(sF4,sF2)),c),
inference(forward_demodulation,[],[f39109,f2]) ).
fof(f39109,plain,
sF8 = ifeq(sF8,sF8,product(h,inverse(multiply(sF4,sF2)),c),sF8),
inference(superposition,[],[f4052,f11774]) ).
fof(f11774,plain,
sF8 = product(c,multiply(sF4,sF2),h),
inference(forward_demodulation,[],[f11769,f2]) ).
fof(f11769,plain,
sF8 = ifeq(sF8,sF8,product(c,multiply(sF4,sF2),h),sF8),
inference(superposition,[],[f1258,f58]) ).
fof(f1258,plain,
! [X0] : sF8 = ifeq(product(sF4,sF2,X0),sF8,product(c,X0,h),sF8),
inference(forward_demodulation,[],[f1244,f2]) ).
fof(f1244,plain,
! [X0] : sF8 = ifeq(product(sF4,sF2,X0),sF8,ifeq(sF8,sF8,product(c,X0,h),sF8),sF8),
inference(superposition,[],[f321,f48]) ).
fof(f48,plain,
product(c,sF4,d) = sF8,
inference(forward_demodulation,[],[f27,f40]) ).
fof(f40,plain,
sF5 = sF8,
inference(backward_demodulation,[],[f36,f38]) ).
fof(f36,plain,
sF1 = sF5,
inference(forward_demodulation,[],[f28,f22]) ).
fof(f28,plain,
true = sF5,
inference(definition_folding,[],[f14,f27,f26]) ).
fof(f14,axiom,
true = product(c,inverse(a),d),
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',c_times_inverse_a_is_d) ).
fof(f27,plain,
product(c,sF4,d) = sF5,
introduced(function_definition,[]) ).
fof(f321,plain,
! [X58,X56,X57] : sF8 = ifeq(product(X56,sF2,X57),sF8,ifeq(product(X58,X56,d),sF8,product(X58,X57,h),sF8),sF8),
inference(forward_demodulation,[],[f244,f2]) ).
fof(f244,plain,
! [X58,X56,X57] : sF8 = ifeq(sF8,sF8,ifeq(product(X56,sF2,X57),sF8,ifeq(product(X58,X56,d),sF8,product(X58,X57,h),sF8),sF8),sF8),
inference(superposition,[],[f198,f32]) ).
fof(f4052,plain,
! [X2,X0,X1] : sF8 = ifeq(product(X1,X0,X2),sF8,product(X2,inverse(X0),X1),sF8),
inference(forward_demodulation,[],[f3977,f2]) ).
fof(f3977,plain,
! [X2,X0,X1] : sF8 = ifeq(sF8,sF8,ifeq(product(X1,X0,X2),sF8,product(X2,inverse(X0),X1),sF8),sF8),
inference(superposition,[],[f515,f54]) ).
fof(f9950,plain,
! [X11] : multiply(sF6,multiply(h,X11)) = X11,
inference(forward_demodulation,[],[f9838,f1]) ).
fof(f9838,plain,
! [X11] : multiply(sF6,multiply(h,X11)) = ifeq2(sF8,sF8,X11,multiply(sF6,multiply(h,X11))),
inference(superposition,[],[f154,f9818]) ).
fof(f9818,plain,
! [X1] : sF8 = product(sF6,multiply(h,X1),X1),
inference(forward_demodulation,[],[f9791,f2]) ).
fof(f9791,plain,
! [X1] : sF8 = ifeq(sF8,sF8,product(sF6,multiply(h,X1),X1),sF8),
inference(superposition,[],[f1044,f58]) ).
fof(f1044,plain,
! [X24,X25] : sF8 = ifeq(product(h,X24,X25),sF8,product(sF6,X25,X24),sF8),
inference(forward_demodulation,[],[f991,f2]) ).
fof(f991,plain,
! [X24,X25] : sF8 = ifeq(product(h,X24,X25),sF8,ifeq(sF8,sF8,product(sF6,X25,X24),sF8),sF8),
inference(superposition,[],[f306,f53]) ).
fof(f53,plain,
sF8 = product(sF6,h,identity),
inference(superposition,[],[f50,f29]) ).
fof(f276883,plain,
multiply(b,a) = multiply(multiply(a,j),h),
inference(forward_demodulation,[],[f276812,f119189]) ).
fof(f119189,plain,
! [X15] : multiply(X15,a) = multiply(multiply(X15,c),sF2),
inference(superposition,[],[f17587,f119076]) ).
fof(f119076,plain,
! [X83] : multiply(X83,c) = multiply(multiply(X83,a),b),
inference(forward_demodulation,[],[f118765,f1]) ).
fof(f118765,plain,
! [X83] : multiply(X83,c) = ifeq2(sF8,sF8,multiply(multiply(X83,a),b),multiply(X83,c)),
inference(superposition,[],[f154,f97385]) ).
fof(f97385,plain,
! [X3] : sF8 = product(X3,c,multiply(multiply(X3,a),b)),
inference(forward_demodulation,[],[f97339,f2]) ).
fof(f97339,plain,
! [X3] : sF8 = ifeq(sF8,sF8,product(X3,c,multiply(multiply(X3,a),b)),sF8),
inference(superposition,[],[f1831,f58]) ).
fof(f1831,plain,
! [X4,X5] : sF8 = ifeq(product(X5,a,X4),sF8,product(X5,c,multiply(X4,b)),sF8),
inference(forward_demodulation,[],[f1808,f2]) ).
fof(f1808,plain,
! [X4,X5] : sF8 = ifeq(sF8,sF8,ifeq(product(X5,a,X4),sF8,product(X5,c,multiply(X4,b)),sF8),sF8),
inference(superposition,[],[f337,f58]) ).
fof(f337,plain,
! [X50,X51,X52] : sF8 = ifeq(product(X50,b,X51),sF8,ifeq(product(X52,a,X50),sF8,product(X52,c,X51),sF8),sF8),
inference(forward_demodulation,[],[f261,f2]) ).
fof(f261,plain,
! [X50,X51,X52] : sF8 = ifeq(product(X50,b,X51),sF8,ifeq(sF8,sF8,ifeq(product(X52,a,X50),sF8,product(X52,c,X51),sF8),sF8),sF8),
inference(superposition,[],[f198,f46]) ).
fof(f17587,plain,
! [X19] : multiply(multiply(X19,b),sF2) = X19,
inference(forward_demodulation,[],[f17468,f1]) ).
fof(f17468,plain,
! [X19] : multiply(multiply(X19,b),sF2) = ifeq2(sF8,sF8,X19,multiply(multiply(X19,b),sF2)),
inference(superposition,[],[f154,f17427]) ).
fof(f17427,plain,
! [X0] : sF8 = product(multiply(X0,b),sF2,X0),
inference(forward_demodulation,[],[f17393,f2]) ).
fof(f17393,plain,
! [X0] : sF8 = ifeq(sF8,sF8,product(multiply(X0,b),sF2,X0),sF8),
inference(superposition,[],[f4057,f58]) ).
fof(f4057,plain,
! [X14,X15] : sF8 = ifeq(product(X14,b,X15),sF8,product(X15,sF2,X14),sF8),
inference(forward_demodulation,[],[f3982,f2]) ).
fof(f3982,plain,
! [X14,X15] : sF8 = ifeq(sF8,sF8,ifeq(product(X14,b,X15),sF8,product(X15,sF2,X14),sF8),sF8),
inference(superposition,[],[f515,f55]) ).
fof(f276812,plain,
multiply(multiply(b,c),sF2) = multiply(multiply(a,j),h),
inference(superposition,[],[f121678,f276156]) ).
fof(f276156,plain,
multiply(b,c) = multiply(multiply(a,j),j),
inference(forward_demodulation,[],[f276155,f109625]) ).
fof(f109625,plain,
multiply(sF4,inverse(c)) = multiply(b,c),
inference(superposition,[],[f9484,f109543]) ).
fof(f109543,plain,
inverse(c) = multiply(a,multiply(b,c)),
inference(forward_demodulation,[],[f109465,f1]) ).
fof(f109465,plain,
multiply(a,multiply(b,c)) = ifeq2(sF8,sF8,inverse(c),multiply(a,multiply(b,c))),
inference(superposition,[],[f154,f103966]) ).
fof(f103966,plain,
sF8 = product(a,multiply(b,c),inverse(c)),
inference(forward_demodulation,[],[f103931,f2]) ).
fof(f103931,plain,
sF8 = ifeq(sF8,sF8,product(a,multiply(b,c),inverse(c)),sF8),
inference(superposition,[],[f2579,f26063]) ).
fof(f26063,plain,
! [X0] : sF8 = product(X0,X0,inverse(X0)),
inference(superposition,[],[f58,f26041]) ).
fof(f26041,plain,
! [X70] : multiply(X70,X70) = inverse(X70),
inference(superposition,[],[f23697,f25750]) ).
fof(f25750,plain,
! [X7] : inverse(multiply(X7,X7)) = X7,
inference(forward_demodulation,[],[f25470,f1]) ).
fof(f25470,plain,
! [X7] : ifeq2(sF8,sF8,inverse(multiply(X7,X7)),X7) = X7,
inference(superposition,[],[f143,f23324]) ).
fof(f23324,plain,
! [X1] : sF8 = product(X1,identity,inverse(multiply(X1,X1))),
inference(forward_demodulation,[],[f23275,f2]) ).
fof(f23275,plain,
! [X1] : sF8 = ifeq(sF8,sF8,product(X1,identity,inverse(multiply(X1,X1))),sF8),
inference(superposition,[],[f1019,f74]) ).
fof(f74,plain,
! [X0] : sF8 = product(X0,multiply(X0,X0),identity),
inference(forward_demodulation,[],[f62,f2]) ).
fof(f62,plain,
! [X0] : sF8 = ifeq(sF8,sF8,product(X0,multiply(X0,X0),identity),sF8),
inference(superposition,[],[f59,f58]) ).
fof(f59,plain,
! [X3,X4] : sF8 = ifeq(product(X3,X3,X4),sF8,product(X3,X4,identity),sF8),
inference(forward_demodulation,[],[f11,f43]) ).
fof(f11,axiom,
! [X3,X4] : true = ifeq(product(X3,X3,X4),true,product(X3,X4,identity),true),
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',x_cubed_is_identity_1) ).
fof(f2579,plain,
! [X4,X5] : sF8 = ifeq(product(c,X4,X5),sF8,product(a,multiply(b,X4),X5),sF8),
inference(forward_demodulation,[],[f2559,f2]) ).
fof(f2559,plain,
! [X4,X5] : sF8 = ifeq(product(c,X4,X5),sF8,ifeq(sF8,sF8,product(a,multiply(b,X4),X5),sF8),sF8),
inference(superposition,[],[f355,f58]) ).
fof(f355,plain,
! [X50,X51,X52] : sF8 = ifeq(product(c,X50,X51),sF8,ifeq(product(b,X50,X52),sF8,product(a,X52,X51),sF8),sF8),
inference(forward_demodulation,[],[f280,f2]) ).
fof(f280,plain,
! [X50,X51,X52] : sF8 = ifeq(product(c,X50,X51),sF8,ifeq(product(b,X50,X52),sF8,ifeq(sF8,sF8,product(a,X52,X51),sF8),sF8),sF8),
inference(superposition,[],[f198,f46]) ).
fof(f276155,plain,
multiply(sF4,inverse(c)) = multiply(multiply(a,j),j),
inference(forward_demodulation,[],[f276078,f139154]) ).
fof(f139154,plain,
! [X1] : multiply(multiply(X1,sF2),sF4) = multiply(X1,inverse(c)),
inference(superposition,[],[f119327,f18776]) ).
fof(f119327,plain,
! [X65] : multiply(X65,sF4) = multiply(multiply(X65,b),inverse(c)),
inference(superposition,[],[f41552,f119163]) ).
fof(f119163,plain,
! [X1] : multiply(X1,b) = multiply(multiply(X1,sF4),c),
inference(superposition,[],[f119076,f19265]) ).
fof(f41552,plain,
! [X28,X29] : multiply(multiply(X28,X29),inverse(X29)) = X28,
inference(forward_demodulation,[],[f41358,f1]) ).
fof(f41358,plain,
! [X28,X29] : multiply(multiply(X28,X29),inverse(X29)) = ifeq2(sF8,sF8,X28,multiply(multiply(X28,X29),inverse(X29))),
inference(superposition,[],[f154,f39294]) ).
fof(f39294,plain,
! [X22,X23] : sF8 = product(multiply(X22,X23),inverse(X23),X22),
inference(forward_demodulation,[],[f39088,f2]) ).
fof(f39088,plain,
! [X22,X23] : sF8 = ifeq(sF8,sF8,product(multiply(X22,X23),inverse(X23),X22),sF8),
inference(superposition,[],[f4052,f58]) ).
fof(f276078,plain,
multiply(multiply(sF4,sF2),sF4) = multiply(multiply(a,j),j),
inference(superposition,[],[f177145,f272805]) ).
fof(f272805,plain,
multiply(sF4,sF2) = multiply(multiply(a,j),c),
inference(forward_demodulation,[],[f272804,f27804]) ).
fof(f27804,plain,
multiply(sF4,sF2) = multiply(inverse(c),h),
inference(superposition,[],[f27687,f11859]) ).
fof(f11859,plain,
h = multiply(c,multiply(sF4,sF2)),
inference(forward_demodulation,[],[f11787,f1]) ).
fof(f11787,plain,
multiply(c,multiply(sF4,sF2)) = ifeq2(sF8,sF8,h,multiply(c,multiply(sF4,sF2))),
inference(superposition,[],[f154,f11774]) ).
fof(f272804,plain,
multiply(inverse(c),h) = multiply(multiply(a,j),c),
inference(forward_demodulation,[],[f272803,f42126]) ).
fof(f42126,plain,
! [X30] : inverse(multiply(sF6,X30)) = multiply(inverse(X30),h),
inference(superposition,[],[f27687,f41743]) ).
fof(f41743,plain,
! [X25] : h = multiply(X25,inverse(multiply(sF6,X25))),
inference(superposition,[],[f41552,f7011]) ).
fof(f7011,plain,
! [X15] : multiply(h,multiply(sF6,X15)) = X15,
inference(forward_demodulation,[],[f6924,f1]) ).
fof(f6924,plain,
! [X15] : multiply(h,multiply(sF6,X15)) = ifeq2(sF8,sF8,X15,multiply(h,multiply(sF6,X15))),
inference(superposition,[],[f154,f6905]) ).
fof(f6905,plain,
! [X0] : sF8 = product(h,multiply(sF6,X0),X0),
inference(forward_demodulation,[],[f6884,f2]) ).
fof(f6884,plain,
! [X0] : sF8 = ifeq(sF8,sF8,product(h,multiply(sF6,X0),X0),sF8),
inference(superposition,[],[f1041,f58]) ).
fof(f1041,plain,
! [X16,X17] : sF8 = ifeq(product(sF6,X16,X17),sF8,product(h,X17,X16),sF8),
inference(forward_demodulation,[],[f987,f2]) ).
fof(f987,plain,
! [X16,X17] : sF8 = ifeq(product(sF6,X16,X17),sF8,ifeq(sF8,sF8,product(h,X17,X16),sF8),sF8),
inference(superposition,[],[f306,f57]) ).
fof(f57,plain,
sF8 = product(h,sF6,identity),
inference(superposition,[],[f54,f29]) ).
fof(f272803,plain,
inverse(multiply(sF6,c)) = multiply(multiply(a,j),c),
inference(forward_demodulation,[],[f272802,f177267]) ).
fof(f177267,plain,
! [X32] : multiply(multiply(X32,c),b) = multiply(multiply(X32,j),c),
inference(superposition,[],[f119163,f177145]) ).
fof(f272802,plain,
inverse(multiply(sF6,c)) = multiply(multiply(a,c),b),
inference(forward_demodulation,[],[f272732,f169517]) ).
fof(f169517,plain,
multiply(a,c) = inverse(multiply(c,j)),
inference(forward_demodulation,[],[f169504,f23697]) ).
fof(f169504,plain,
multiply(a,inverse(inverse(c))) = inverse(multiply(c,j)),
inference(superposition,[],[f41684,f168257]) ).
fof(f168257,plain,
inverse(c) = multiply(multiply(c,j),a),
inference(backward_demodulation,[],[f92799,f168184]) ).
fof(f168184,plain,
multiply(sF2,a) = multiply(c,j),
inference(forward_demodulation,[],[f168091,f1]) ).
fof(f168091,plain,
multiply(c,j) = ifeq2(sF8,sF8,multiply(sF2,a),multiply(c,j)),
inference(superposition,[],[f154,f168036]) ).
fof(f168036,plain,
sF8 = product(c,j,multiply(sF2,a)),
inference(forward_demodulation,[],[f168035,f92829]) ).
fof(f92829,plain,
multiply(sF2,a) = multiply(inverse(c),sF4),
inference(forward_demodulation,[],[f92828,f23]) ).
fof(f92828,plain,
multiply(inverse(b),a) = multiply(inverse(c),sF4),
inference(forward_demodulation,[],[f92796,f41896]) ).
fof(f41896,plain,
! [X30] : inverse(multiply(sF4,X30)) = multiply(inverse(X30),a),
inference(superposition,[],[f27687,f41728]) ).
fof(f41728,plain,
! [X23] : a = multiply(X23,inverse(multiply(sF4,X23))),
inference(superposition,[],[f41552,f5791]) ).
fof(f5791,plain,
! [X11] : multiply(a,multiply(sF4,X11)) = X11,
inference(forward_demodulation,[],[f5715,f1]) ).
fof(f5715,plain,
! [X11] : multiply(a,multiply(sF4,X11)) = ifeq2(sF8,sF8,X11,multiply(a,multiply(sF4,X11))),
inference(superposition,[],[f154,f5698]) ).
fof(f5698,plain,
! [X0] : sF8 = product(a,multiply(sF4,X0),X0),
inference(forward_demodulation,[],[f5679,f2]) ).
fof(f5679,plain,
! [X0] : sF8 = ifeq(sF8,sF8,product(a,multiply(sF4,X0),X0),sF8),
inference(superposition,[],[f1039,f58]) ).
fof(f1039,plain,
! [X12,X13] : sF8 = ifeq(product(sF4,X12,X13),sF8,product(a,X13,X12),sF8),
inference(forward_demodulation,[],[f985,f2]) ).
fof(f985,plain,
! [X12,X13] : sF8 = ifeq(product(sF4,X12,X13),sF8,ifeq(sF8,sF8,product(a,X13,X12),sF8),sF8),
inference(superposition,[],[f306,f56]) ).
fof(f56,plain,
sF8 = product(a,sF4,identity),
inference(superposition,[],[f54,f26]) ).
fof(f92796,plain,
inverse(multiply(sF4,b)) = multiply(inverse(c),sF4),
inference(superposition,[],[f41805,f92682]) ).
fof(f92682,plain,
c = multiply(sF4,multiply(sF4,b)),
inference(forward_demodulation,[],[f92608,f1]) ).
fof(f92608,plain,
multiply(sF4,multiply(sF4,b)) = ifeq2(sF8,sF8,c,multiply(sF4,multiply(sF4,b))),
inference(superposition,[],[f154,f92187]) ).
fof(f92187,plain,
sF8 = product(sF4,multiply(sF4,b),c),
inference(forward_demodulation,[],[f92186,f26]) ).
fof(f92186,plain,
sF8 = product(inverse(a),multiply(sF4,b),c),
inference(forward_demodulation,[],[f92185,f26041]) ).
fof(f92185,plain,
sF8 = product(multiply(a,a),multiply(sF4,b),c),
inference(forward_demodulation,[],[f92080,f2]) ).
fof(f92080,plain,
sF8 = ifeq(sF8,sF8,product(multiply(a,a),multiply(sF4,b),c),sF8),
inference(superposition,[],[f1167,f17146]) ).
fof(f17146,plain,
! [X0] : sF8 = product(multiply(X0,a),sF4,X0),
inference(forward_demodulation,[],[f17115,f2]) ).
fof(f17115,plain,
! [X0] : sF8 = ifeq(sF8,sF8,product(multiply(X0,a),sF4,X0),sF8),
inference(superposition,[],[f4056,f58]) ).
fof(f4056,plain,
! [X12,X13] : sF8 = ifeq(product(X12,a,X13),sF8,product(X13,sF4,X12),sF8),
inference(forward_demodulation,[],[f3981,f2]) ).
fof(f3981,plain,
! [X12,X13] : sF8 = ifeq(sF8,sF8,ifeq(product(X12,a,X13),sF8,product(X13,sF4,X12),sF8),sF8),
inference(superposition,[],[f515,f56]) ).
fof(f1167,plain,
! [X4,X5] : sF8 = ifeq(product(X5,X4,a),sF8,product(X5,multiply(X4,b),c),sF8),
inference(forward_demodulation,[],[f1152,f2]) ).
fof(f1152,plain,
! [X4,X5] : sF8 = ifeq(sF8,sF8,ifeq(product(X5,X4,a),sF8,product(X5,multiply(X4,b),c),sF8),sF8),
inference(superposition,[],[f319,f58]) ).
fof(f319,plain,
! [X50,X51,X52] : sF8 = ifeq(product(X50,b,X51),sF8,ifeq(product(X52,X50,a),sF8,product(X52,X51,c),sF8),sF8),
inference(forward_demodulation,[],[f242,f2]) ).
fof(f242,plain,
! [X50,X51,X52] : sF8 = ifeq(sF8,sF8,ifeq(product(X50,b,X51),sF8,ifeq(product(X52,X50,a),sF8,product(X52,X51,c),sF8),sF8),sF8),
inference(superposition,[],[f198,f46]) ).
fof(f41805,plain,
! [X40,X41] : inverse(X41) = multiply(inverse(multiply(X40,X41)),X40),
inference(superposition,[],[f27687,f41552]) ).
fof(f168035,plain,
sF8 = product(c,j,multiply(inverse(c),sF4)),
inference(forward_demodulation,[],[f167990,f2]) ).
fof(f167990,plain,
sF8 = ifeq(sF8,sF8,product(c,j,multiply(inverse(c),sF4)),sF8),
inference(superposition,[],[f12493,f26063]) ).
fof(f12493,plain,
! [X26,X25] : sF8 = ifeq(product(X25,c,X26),sF8,product(X25,j,multiply(X26,sF4)),sF8),
inference(forward_demodulation,[],[f12424,f2]) ).
fof(f12424,plain,
! [X26,X25] : sF8 = ifeq(sF8,sF8,ifeq(product(X25,c,X26),sF8,product(X25,j,multiply(X26,sF4)),sF8),sF8),
inference(superposition,[],[f318,f12176]) ).
fof(f12176,plain,
sF8 = product(c,sF4,j),
inference(backward_demodulation,[],[f48,f12083]) ).
fof(f12083,plain,
d = j,
inference(forward_demodulation,[],[f11999,f1]) ).
fof(f11999,plain,
d = ifeq2(sF8,sF8,j,d),
inference(superposition,[],[f143,f11992]) ).
fof(f11992,plain,
sF8 = product(d,identity,j),
inference(forward_demodulation,[],[f11983,f2]) ).
fof(f11983,plain,
sF8 = ifeq(sF8,sF8,product(d,identity,j),sF8),
inference(superposition,[],[f1344,f32]) ).
fof(f1344,plain,
! [X1] : sF8 = ifeq(product(X1,sF2,h),sF8,product(X1,identity,j),sF8),
inference(forward_demodulation,[],[f1343,f23]) ).
fof(f1343,plain,
! [X1] : sF8 = ifeq(product(X1,inverse(b),h),sF8,product(X1,identity,j),sF8),
inference(forward_demodulation,[],[f1328,f2]) ).
fof(f1328,plain,
! [X1] : sF8 = ifeq(sF8,sF8,ifeq(product(X1,inverse(b),h),sF8,product(X1,identity,j),sF8),sF8),
inference(superposition,[],[f322,f50]) ).
fof(f322,plain,
! [X59,X60,X61] : sF8 = ifeq(product(X59,b,X60),sF8,ifeq(product(X61,X59,h),sF8,product(X61,X60,j),sF8),sF8),
inference(forward_demodulation,[],[f245,f2]) ).
fof(f245,plain,
! [X59,X60,X61] : sF8 = ifeq(sF8,sF8,ifeq(product(X59,b,X60),sF8,ifeq(product(X61,X59,h),sF8,product(X61,X60,j),sF8),sF8),sF8),
inference(superposition,[],[f198,f47]) ).
fof(f47,plain,
product(h,b,j) = sF8,
inference(forward_demodulation,[],[f21,f38]) ).
fof(f318,plain,
! [X48,X46,X49,X47,X45] : sF8 = ifeq(product(X47,X46,X48),sF8,ifeq(product(X49,X47,X45),sF8,product(X49,X48,multiply(X45,X46)),sF8),sF8),
inference(forward_demodulation,[],[f241,f2]) ).
fof(f241,plain,
! [X48,X46,X49,X47,X45] : sF8 = ifeq(sF8,sF8,ifeq(product(X47,X46,X48),sF8,ifeq(product(X49,X47,X45),sF8,product(X49,X48,multiply(X45,X46)),sF8),sF8),sF8),
inference(superposition,[],[f198,f58]) ).
fof(f92799,plain,
inverse(c) = multiply(multiply(sF2,a),a),
inference(forward_demodulation,[],[f92798,f23]) ).
fof(f92798,plain,
inverse(c) = multiply(multiply(inverse(b),a),a),
inference(forward_demodulation,[],[f92765,f41896]) ).
fof(f92765,plain,
inverse(c) = multiply(inverse(multiply(sF4,b)),a),
inference(superposition,[],[f41896,f92682]) ).
fof(f41684,plain,
! [X14,X13] : inverse(X13) = multiply(X14,inverse(multiply(X13,X14))),
inference(superposition,[],[f41552,f27687]) ).
fof(f272732,plain,
inverse(multiply(sF6,c)) = multiply(inverse(multiply(c,j)),b),
inference(superposition,[],[f42010,f272289]) ).
fof(f272289,plain,
multiply(sF6,c) = multiply(sF2,multiply(c,j)),
inference(forward_demodulation,[],[f272179,f39538]) ).
fof(f272179,plain,
multiply(b,a) = multiply(sF2,multiply(c,j)),
inference(superposition,[],[f272079,f168184]) ).
fof(f272079,plain,
! [X23] : multiply(b,X23) = multiply(sF2,multiply(sF2,X23)),
inference(forward_demodulation,[],[f271940,f1]) ).
fof(f271940,plain,
! [X23] : multiply(sF2,multiply(sF2,X23)) = ifeq2(sF8,sF8,multiply(b,X23),multiply(sF2,multiply(sF2,X23))),
inference(superposition,[],[f154,f261680]) ).
fof(f261680,plain,
! [X501] : sF8 = product(sF2,multiply(sF2,X501),multiply(b,X501)),
inference(forward_demodulation,[],[f260024,f2]) ).
fof(f260024,plain,
! [X501] : sF8 = ifeq(sF8,sF8,product(sF2,multiply(sF2,X501),multiply(b,X501)),sF8),
inference(superposition,[],[f7973,f2253]) ).
fof(f2253,plain,
sF8 = product(sF2,sF2,b),
inference(superposition,[],[f58,f2220]) ).
fof(f2220,plain,
b = multiply(sF2,sF2),
inference(forward_demodulation,[],[f2194,f1]) ).
fof(f2194,plain,
b = ifeq2(sF8,sF8,multiply(sF2,sF2),b),
inference(superposition,[],[f161,f2098]) ).
fof(f2098,plain,
sF8 = product(multiply(sF2,sF2),identity,b),
inference(forward_demodulation,[],[f2090,f2]) ).
fof(f2090,plain,
sF8 = ifeq(sF8,sF8,product(multiply(sF2,sF2),identity,b),sF8),
inference(superposition,[],[f1026,f93]) ).
fof(f93,plain,
! [X0] : sF8 = product(multiply(X0,X0),X0,identity),
inference(forward_demodulation,[],[f80,f2]) ).
fof(f80,plain,
! [X0] : sF8 = ifeq(sF8,sF8,product(multiply(X0,X0),X0,identity),sF8),
inference(superposition,[],[f75,f58]) ).
fof(f75,plain,
! [X3,X4] : sF8 = ifeq(product(X3,X3,X4),sF8,product(X4,X3,identity),sF8),
inference(forward_demodulation,[],[f12,f43]) ).
fof(f12,axiom,
! [X3,X4] : true = ifeq(product(X3,X3,X4),true,product(X4,X3,identity),true),
file('/export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668',x_cubed_is_identity_2) ).
fof(f1026,plain,
! [X16] : sF8 = ifeq(product(X16,sF2,identity),sF8,product(X16,identity,b),sF8),
inference(forward_demodulation,[],[f972,f2]) ).
fof(f972,plain,
! [X16] : sF8 = ifeq(sF8,sF8,ifeq(product(X16,sF2,identity),sF8,product(X16,identity,b),sF8),sF8),
inference(superposition,[],[f306,f51]) ).
fof(f161,plain,
! [X2,X3] : ifeq2(product(X2,identity,X3),sF8,X2,X3) = X3,
inference(forward_demodulation,[],[f124,f1]) ).
fof(f124,plain,
! [X2,X3] : ifeq2(product(X2,identity,X3),sF8,ifeq2(sF8,sF8,X2,X3),X3) = X3,
inference(superposition,[],[f103,f45]) ).
fof(f7973,plain,
! [X46,X47,X44,X45] : sF8 = ifeq(product(X46,X44,X47),sF8,product(X46,multiply(X44,X45),multiply(X47,X45)),sF8),
inference(forward_demodulation,[],[f7854,f2]) ).
fof(f7854,plain,
! [X46,X47,X44,X45] : sF8 = ifeq(sF8,sF8,ifeq(product(X46,X44,X47),sF8,product(X46,multiply(X44,X45),multiply(X47,X45)),sF8),sF8),
inference(superposition,[],[f318,f58]) ).
fof(f42010,plain,
! [X30] : inverse(multiply(sF2,X30)) = multiply(inverse(X30),b),
inference(superposition,[],[f27687,f41733]) ).
fof(f41733,plain,
! [X24] : b = multiply(X24,inverse(multiply(sF2,X24))),
inference(superposition,[],[f41552,f6389]) ).
fof(f6389,plain,
! [X13] : multiply(b,multiply(sF2,X13)) = X13,
inference(forward_demodulation,[],[f6308,f1]) ).
fof(f6308,plain,
! [X13] : multiply(b,multiply(sF2,X13)) = ifeq2(sF8,sF8,X13,multiply(b,multiply(sF2,X13))),
inference(superposition,[],[f154,f6292]) ).
fof(f6292,plain,
! [X0] : sF8 = product(b,multiply(sF2,X0),X0),
inference(forward_demodulation,[],[f6273,f2]) ).
fof(f6273,plain,
! [X0] : sF8 = ifeq(sF8,sF8,product(b,multiply(sF2,X0),X0),sF8),
inference(superposition,[],[f1040,f58]) ).
fof(f1040,plain,
! [X14,X15] : sF8 = ifeq(product(sF2,X14,X15),sF8,product(b,X15,X14),sF8),
inference(forward_demodulation,[],[f986,f2]) ).
fof(f986,plain,
! [X14,X15] : sF8 = ifeq(product(sF2,X14,X15),sF8,ifeq(sF8,sF8,product(b,X15,X14),sF8),sF8),
inference(superposition,[],[f306,f55]) ).
fof(f177145,plain,
! [X97] : multiply(X97,j) = multiply(multiply(X97,c),sF4),
inference(forward_demodulation,[],[f176773,f1]) ).
fof(f176773,plain,
! [X97] : multiply(X97,j) = ifeq2(sF8,sF8,multiply(multiply(X97,c),sF4),multiply(X97,j)),
inference(superposition,[],[f154,f168038]) ).
fof(f168038,plain,
! [X2] : sF8 = product(X2,j,multiply(multiply(X2,c),sF4)),
inference(forward_demodulation,[],[f167992,f2]) ).
fof(f167992,plain,
! [X2] : sF8 = ifeq(sF8,sF8,product(X2,j,multiply(multiply(X2,c),sF4)),sF8),
inference(superposition,[],[f12493,f58]) ).
fof(f121678,plain,
! [X15] : multiply(X15,h) = multiply(multiply(X15,j),sF2),
inference(superposition,[],[f17587,f121562]) ).
fof(f121562,plain,
! [X93] : multiply(X93,j) = multiply(multiply(X93,h),b),
inference(forward_demodulation,[],[f121249,f1]) ).
fof(f121249,plain,
! [X93] : multiply(X93,j) = ifeq2(sF8,sF8,multiply(multiply(X93,h),b),multiply(X93,j)),
inference(superposition,[],[f154,f99561]) ).
fof(f99561,plain,
! [X3] : sF8 = product(X3,j,multiply(multiply(X3,h),b)),
inference(forward_demodulation,[],[f99515,f2]) ).
fof(f99515,plain,
! [X3] : sF8 = ifeq(sF8,sF8,product(X3,j,multiply(multiply(X3,h),b)),sF8),
inference(superposition,[],[f2075,f58]) ).
fof(f2075,plain,
! [X4,X5] : sF8 = ifeq(product(X5,h,X4),sF8,product(X5,j,multiply(X4,b)),sF8),
inference(forward_demodulation,[],[f2052,f2]) ).
fof(f2052,plain,
! [X4,X5] : sF8 = ifeq(sF8,sF8,ifeq(product(X5,h,X4),sF8,product(X5,j,multiply(X4,b)),sF8),sF8),
inference(superposition,[],[f340,f58]) ).
fof(f340,plain,
! [X59,X60,X61] : sF8 = ifeq(product(X59,b,X60),sF8,ifeq(product(X61,h,X59),sF8,product(X61,j,X60),sF8),sF8),
inference(forward_demodulation,[],[f264,f2]) ).
fof(f264,plain,
! [X59,X60,X61] : sF8 = ifeq(product(X59,b,X60),sF8,ifeq(sF8,sF8,ifeq(product(X61,h,X59),sF8,product(X61,j,X60),sF8),sF8),sF8),
inference(superposition,[],[f198,f47]) ).
fof(f287714,plain,
! [X2] : multiply(X2,sF6) = multiply(multiply(X2,h),h),
inference(superposition,[],[f287403,f18305]) ).
fof(f18305,plain,
! [X11] : multiply(multiply(X11,h),sF6) = X11,
inference(forward_demodulation,[],[f18190,f1]) ).
fof(f18190,plain,
! [X11] : multiply(multiply(X11,h),sF6) = ifeq2(sF8,sF8,X11,multiply(multiply(X11,h),sF6)),
inference(superposition,[],[f154,f17788]) ).
fof(f17788,plain,
! [X0] : sF8 = product(multiply(X0,h),sF6,X0),
inference(forward_demodulation,[],[f17754,f2]) ).
fof(f17754,plain,
! [X0] : sF8 = ifeq(sF8,sF8,product(multiply(X0,h),sF6,X0),sF8),
inference(superposition,[],[f4058,f58]) ).
fof(f4058,plain,
! [X16,X17] : sF8 = ifeq(product(X16,h,X17),sF8,product(X17,sF6,X16),sF8),
inference(forward_demodulation,[],[f3983,f2]) ).
fof(f3983,plain,
! [X16,X17] : sF8 = ifeq(sF8,sF8,ifeq(product(X16,h,X17),sF8,product(X17,sF6,X16),sF8),sF8),
inference(superposition,[],[f515,f57]) ).
fof(f287403,plain,
! [X96] : multiply(X96,h) = multiply(multiply(X96,sF6),sF6),
inference(forward_demodulation,[],[f286907,f1]) ).
fof(f286907,plain,
! [X96] : multiply(X96,h) = ifeq2(sF8,sF8,multiply(multiply(X96,sF6),sF6),multiply(X96,h)),
inference(superposition,[],[f154,f264916]) ).
fof(f264916,plain,
! [X544] : sF8 = product(X544,h,multiply(multiply(X544,sF6),sF6)),
inference(forward_demodulation,[],[f263389,f2]) ).
fof(f263389,plain,
! [X544] : sF8 = ifeq(sF8,sF8,product(X544,h,multiply(multiply(X544,sF6),sF6)),sF8),
inference(superposition,[],[f8020,f3228]) ).
fof(f3228,plain,
sF8 = product(sF6,sF6,h),
inference(superposition,[],[f58,f3190]) ).
fof(f3190,plain,
h = multiply(sF6,sF6),
inference(forward_demodulation,[],[f3156,f1]) ).
fof(f3156,plain,
h = ifeq2(sF8,sF8,multiply(sF6,sF6),h),
inference(superposition,[],[f161,f2968]) ).
fof(f2968,plain,
sF8 = product(multiply(sF6,sF6),identity,h),
inference(forward_demodulation,[],[f2959,f2]) ).
fof(f2959,plain,
sF8 = ifeq(sF8,sF8,product(multiply(sF6,sF6),identity,h),sF8),
inference(superposition,[],[f1028,f93]) ).
fof(f1028,plain,
! [X18] : sF8 = ifeq(product(X18,sF6,identity),sF8,product(X18,identity,h),sF8),
inference(forward_demodulation,[],[f974,f2]) ).
fof(f974,plain,
! [X18] : sF8 = ifeq(sF8,sF8,ifeq(product(X18,sF6,identity),sF8,product(X18,identity,h),sF8),sF8),
inference(superposition,[],[f306,f53]) ).
fof(f8020,plain,
! [X46,X47,X44,X45] : sF8 = ifeq(product(X45,X46,X47),sF8,product(X44,X47,multiply(multiply(X44,X45),X46)),sF8),
inference(forward_demodulation,[],[f7891,f2]) ).
fof(f7891,plain,
! [X46,X47,X44,X45] : sF8 = ifeq(product(X45,X46,X47),sF8,ifeq(sF8,sF8,product(X44,X47,multiply(multiply(X44,X45),X46)),sF8),sF8),
inference(superposition,[],[f318,f58]) ).
fof(f318385,plain,
c = multiply(multiply(sF6,c),h),
inference(forward_demodulation,[],[f318287,f1]) ).
fof(f318287,plain,
multiply(multiply(sF6,c),h) = ifeq2(sF8,sF8,c,multiply(multiply(sF6,c),h)),
inference(superposition,[],[f154,f318161]) ).
fof(f318161,plain,
sF8 = product(multiply(sF6,c),h,c),
inference(forward_demodulation,[],[f318160,f221]) ).
fof(f221,plain,
c = multiply(a,b),
inference(forward_demodulation,[],[f218,f1]) ).
fof(f218,plain,
c = ifeq2(sF8,sF8,multiply(a,b),c),
inference(superposition,[],[f155,f58]) ).
fof(f155,plain,
! [X22] : c = ifeq2(product(a,b,X22),sF8,X22,c),
inference(forward_demodulation,[],[f118,f1]) ).
fof(f118,plain,
! [X22] : c = ifeq2(sF8,sF8,ifeq2(product(a,b,X22),sF8,X22,c),c),
inference(superposition,[],[f103,f46]) ).
fof(f318160,plain,
sF8 = product(multiply(sF6,c),h,multiply(a,b)),
inference(forward_demodulation,[],[f318159,f285486]) ).
fof(f285486,plain,
! [X100] : multiply(X100,b) = multiply(multiply(X100,sF2),sF2),
inference(forward_demodulation,[],[f284979,f1]) ).
fof(f284979,plain,
! [X100] : multiply(X100,b) = ifeq2(sF8,sF8,multiply(multiply(X100,sF2),sF2),multiply(X100,b)),
inference(superposition,[],[f154,f264876]) ).
fof(f264876,plain,
! [X503] : sF8 = product(X503,b,multiply(multiply(X503,sF2),sF2)),
inference(forward_demodulation,[],[f263355,f2]) ).
fof(f263355,plain,
! [X503] : sF8 = ifeq(sF8,sF8,product(X503,b,multiply(multiply(X503,sF2),sF2)),sF8),
inference(superposition,[],[f8020,f2253]) ).
fof(f318159,plain,
sF8 = product(multiply(sF6,c),h,multiply(multiply(a,sF2),sF2)),
inference(forward_demodulation,[],[f318055,f2]) ).
fof(f318055,plain,
sF8 = ifeq(sF8,sF8,product(multiply(sF6,c),h,multiply(multiply(a,sF2),sF2)),sF8),
inference(superposition,[],[f12345,f275721]) ).
fof(f275721,plain,
sF8 = product(multiply(sF6,c),j,multiply(a,sF2)),
inference(forward_demodulation,[],[f275720,f262639]) ).
fof(f262639,plain,
multiply(sF6,c) = multiply(multiply(sF4,j),sF4),
inference(superposition,[],[f28754,f262129]) ).
fof(f262129,plain,
sF4 = multiply(multiply(a,sF2),multiply(sF6,c)),
inference(superposition,[],[f41783,f261984]) ).
fof(f261984,plain,
! [X18] : multiply(a,X18) = multiply(sF4,multiply(sF4,X18)),
inference(forward_demodulation,[],[f261858,f1]) ).
fof(f261858,plain,
! [X18] : multiply(sF4,multiply(sF4,X18)) = ifeq2(sF8,sF8,multiply(a,X18),multiply(sF4,multiply(sF4,X18))),
inference(superposition,[],[f154,f261660]) ).
fof(f261660,plain,
! [X477] : sF8 = product(sF4,multiply(sF4,X477),multiply(a,X477)),
inference(forward_demodulation,[],[f260004,f2]) ).
fof(f260004,plain,
! [X477] : sF8 = ifeq(sF8,sF8,product(sF4,multiply(sF4,X477),multiply(a,X477)),sF8),
inference(superposition,[],[f7973,f2775]) ).
fof(f2775,plain,
sF8 = product(sF4,sF4,a),
inference(superposition,[],[f58,f2738]) ).
fof(f2738,plain,
a = multiply(sF4,sF4),
inference(forward_demodulation,[],[f2707,f1]) ).
fof(f2707,plain,
a = ifeq2(sF8,sF8,multiply(sF4,sF4),a),
inference(superposition,[],[f161,f2601]) ).
fof(f2601,plain,
sF8 = product(multiply(sF4,sF4),identity,a),
inference(forward_demodulation,[],[f2592,f2]) ).
fof(f2592,plain,
sF8 = ifeq(sF8,sF8,product(multiply(sF4,sF4),identity,a),sF8),
inference(superposition,[],[f1027,f93]) ).
fof(f1027,plain,
! [X17] : sF8 = ifeq(product(X17,sF4,identity),sF8,product(X17,identity,a),sF8),
inference(forward_demodulation,[],[f973,f2]) ).
fof(f973,plain,
! [X17] : sF8 = ifeq(sF8,sF8,ifeq(product(X17,sF4,identity),sF8,product(X17,identity,a),sF8),sF8),
inference(superposition,[],[f306,f52]) ).
fof(f41783,plain,
! [X17] : multiply(multiply(X17,multiply(sF4,sF2)),multiply(sF6,c)) = X17,
inference(superposition,[],[f41552,f39553]) ).
fof(f39553,plain,
multiply(sF6,c) = inverse(multiply(sF4,sF2)),
inference(backward_demodulation,[],[f27997,f39538]) ).
fof(f28754,plain,
! [X49] : multiply(multiply(sF4,j),multiply(multiply(a,sF2),X49)) = X49,
inference(superposition,[],[f27466,f27936]) ).
fof(f27936,plain,
multiply(a,sF2) = inverse(multiply(sF4,j)),
inference(forward_demodulation,[],[f27895,f12226]) ).
fof(f12226,plain,
multiply(sF4,j) = multiply(b,sF4),
inference(backward_demodulation,[],[f11225,f12083]) ).
fof(f11225,plain,
multiply(sF4,d) = multiply(b,sF4),
inference(superposition,[],[f9484,f11157]) ).
fof(f11157,plain,
d = multiply(a,multiply(b,sF4)),
inference(forward_demodulation,[],[f11086,f1]) ).
fof(f11086,plain,
multiply(a,multiply(b,sF4)) = ifeq2(sF8,sF8,d,multiply(a,multiply(b,sF4))),
inference(superposition,[],[f154,f10981]) ).
fof(f10981,plain,
sF8 = product(a,multiply(b,sF4),d),
inference(forward_demodulation,[],[f10975,f2]) ).
fof(f10975,plain,
sF8 = ifeq(sF8,sF8,product(a,multiply(b,sF4),d),sF8),
inference(superposition,[],[f1203,f58]) ).
fof(f1203,plain,
! [X0] : sF8 = ifeq(product(b,sF4,X0),sF8,product(a,X0,d),sF8),
inference(forward_demodulation,[],[f1189,f2]) ).
fof(f1189,plain,
! [X0] : sF8 = ifeq(product(b,sF4,X0),sF8,ifeq(sF8,sF8,product(a,X0,d),sF8),sF8),
inference(superposition,[],[f320,f46]) ).
fof(f320,plain,
! [X54,X55,X53] : sF8 = ifeq(product(X53,sF4,X54),sF8,ifeq(product(X55,X53,c),sF8,product(X55,X54,d),sF8),sF8),
inference(forward_demodulation,[],[f243,f2]) ).
fof(f243,plain,
! [X54,X55,X53] : sF8 = ifeq(sF8,sF8,ifeq(product(X53,sF4,X54),sF8,ifeq(product(X55,X53,c),sF8,product(X55,X54,d),sF8),sF8),sF8),
inference(superposition,[],[f198,f48]) ).
fof(f27895,plain,
multiply(a,sF2) = inverse(multiply(b,sF4)),
inference(superposition,[],[f17587,f27785]) ).
fof(f27785,plain,
! [X9] : a = multiply(inverse(multiply(X9,sF4)),X9),
inference(superposition,[],[f27687,f19265]) ).
fof(f275720,plain,
sF8 = product(multiply(multiply(sF4,j),sF4),j,multiply(a,sF2)),
inference(forward_demodulation,[],[f274442,f2]) ).
fof(f274442,plain,
sF8 = ifeq(sF8,sF8,product(multiply(multiply(sF4,j),sF4),j,multiply(a,sF2)),sF8),
inference(superposition,[],[f8758,f28752]) ).
fof(f28752,plain,
sF8 = product(multiply(sF4,j),multiply(sF4,j),multiply(a,sF2)),
inference(superposition,[],[f26063,f27936]) ).
fof(f8758,plain,
! [X46,X47,X44,X45] : sF8 = ifeq(product(X44,multiply(X45,X46),X47),sF8,product(multiply(X44,X45),X46,X47),sF8),
inference(forward_demodulation,[],[f8654,f2]) ).
fof(f8654,plain,
! [X46,X47,X44,X45] : sF8 = ifeq(product(X44,multiply(X45,X46),X47),sF8,ifeq(sF8,sF8,product(multiply(X44,X45),X46,X47),sF8),sF8),
inference(superposition,[],[f508,f58]) ).
fof(f508,plain,
! [X48,X46,X49,X47,X45] : sF8 = ifeq(product(X47,multiply(X45,X46),X48),sF8,ifeq(product(X47,X45,X49),sF8,product(X49,X46,X48),sF8),sF8),
inference(forward_demodulation,[],[f431,f2]) ).
fof(f431,plain,
! [X48,X46,X49,X47,X45] : sF8 = ifeq(sF8,sF8,ifeq(product(X47,multiply(X45,X46),X48),sF8,ifeq(product(X47,X45,X49),sF8,product(X49,X46,X48),sF8),sF8),sF8),
inference(superposition,[],[f384,f58]) ).
fof(f12345,plain,
! [X31,X30] : sF8 = ifeq(product(X30,j,X31),sF8,product(X30,h,multiply(X31,sF2)),sF8),
inference(forward_demodulation,[],[f12268,f2]) ).
fof(f12268,plain,
! [X31,X30] : sF8 = ifeq(sF8,sF8,ifeq(product(X30,j,X31),sF8,product(X30,h,multiply(X31,sF2)),sF8),sF8),
inference(superposition,[],[f318,f12175]) ).
fof(f12175,plain,
sF8 = product(j,sF2,h),
inference(backward_demodulation,[],[f32,f12083]) ).
fof(f9484,plain,
! [X11] : multiply(sF4,multiply(a,X11)) = X11,
inference(forward_demodulation,[],[f9375,f1]) ).
fof(f9375,plain,
! [X11] : multiply(sF4,multiply(a,X11)) = ifeq2(sF8,sF8,X11,multiply(sF4,multiply(a,X11))),
inference(superposition,[],[f154,f9355]) ).
fof(f9355,plain,
! [X1] : sF8 = product(sF4,multiply(a,X1),X1),
inference(forward_demodulation,[],[f9328,f2]) ).
fof(f9328,plain,
! [X1] : sF8 = ifeq(sF8,sF8,product(sF4,multiply(a,X1),X1),sF8),
inference(superposition,[],[f1043,f58]) ).
fof(f1043,plain,
! [X22,X23] : sF8 = ifeq(product(a,X22,X23),sF8,product(sF4,X23,X22),sF8),
inference(forward_demodulation,[],[f990,f2]) ).
fof(f990,plain,
! [X22,X23] : sF8 = ifeq(product(a,X22,X23),sF8,ifeq(sF8,sF8,product(sF4,X23,X22),sF8),sF8),
inference(superposition,[],[f306,f52]) ).
fof(f55,plain,
sF8 = product(b,sF2,identity),
inference(superposition,[],[f54,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP002-10 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 22:35:10 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.so1sJsPr1j/Vampire---4.8_27668
% 0.15/0.35 % (27890)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (27892)ott+10_14_av=off:bd=preordered:drc=off:sp=weighted_frequency_1200 on Vampire---4 for (1200ds/0Mi)
% 0.21/0.43 % (27894)ott+10_32_av=off:drc=off:fde=none:nwc=5.0:sp=reverse_weighted_frequency:tgt=full_1200 on Vampire---4 for (1200ds/0Mi)
% 0.21/0.43 % (27893)ott+10_11_av=off:bd=off:drc=off:fde=none:nwc=1.2:to=lpo:tgt=ground_1200 on Vampire---4 for (1200ds/0Mi)
% 0.21/0.43 % (27896)dis+10_7_av=off:drc=off:nwc=1.5:sims=off:sp=scramble:tgt=ground_485 on Vampire---4 for (485ds/0Mi)
% 0.21/0.43 % (27895)ott+10_4_av=off:drc=off:fde=none:nwc=1.2:sims=off:to=lpo:tgt=ground_606 on Vampire---4 for (606ds/0Mi)
% 0.21/0.43 % (27891)lrs+10_6_av=off:drc=off:fde=unused:nwc=2.5:sims=off:sp=reverse_frequency:stl=188_1200 on Vampire---4 for (1200ds/0Mi)
% 0.21/0.43 % (27897)lrs+10_50_av=off:bd=off:drc=off:sp=reverse_arity:tgt=ground:stl=62_361 on Vampire---4 for (361ds/0Mi)
% 41.82/6.36 % (27896)First to succeed.
% 41.82/6.38 % (27896)Refutation found. Thanks to Tanya!
% 41.82/6.38 % SZS status Unsatisfiable for Vampire---4
% 41.82/6.38 % SZS output start Proof for Vampire---4
% See solution above
% 41.82/6.38 % (27896)------------------------------
% 41.82/6.38 % (27896)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 41.82/6.38 % (27896)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 41.82/6.38 % (27896)Termination reason: Refutation
% 41.82/6.38
% 41.82/6.38 % (27896)Memory used [KB]: 160167
% 41.82/6.38 % (27896)Time elapsed: 5.935 s
% 41.82/6.38 % (27896)------------------------------
% 41.82/6.38 % (27896)------------------------------
% 41.82/6.38 % (27890)Success in time 6.022 s
% 41.82/6.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------