%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP697-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:15:58 AM UTC 2026
% Result : Unsatisfiable 20.89s 4.04s
% Output : Refutation 21.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 20
% Syntax : Number of formulae : 169 ( 169 unt; 8 def)
% Number of atoms : 169 ( 168 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 271 ( 271 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f2,negated_conjecture,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f3,negated_conjecture,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f4,negated_conjecture,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f5,negated_conjecture,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f6,negated_conjecture,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
fof(f7,negated_conjecture,
! [X0,X1] : mult(X0,i(mult(X1,X0))) = i(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
fof(f10,axiom,
! [X0] : mult(i(X0),X0) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
fof(f11,plain,
! [X0] : unit = mult(i(X0),X0),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0] : mult(X0,i(X0)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
fof(f13,plain,
! [X0] : unit = mult(X0,i(X0)),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
mult(mult(a,b),mult(b,mult(c,b))) != mult(mult(a,mult(b,mult(b,c))),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,definition,
sF0 = mult(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f16,plain,
mult(a,b) = sF0,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF1 = mult(c,b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f18,plain,
mult(c,b) = sF1,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF2 = mult(b,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f20,plain,
mult(b,sF1) = sF2,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF3 = mult(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f22,plain,
mult(sF0,sF2) = sF3,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF4 = mult(b,c),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f24,plain,
mult(b,c) = sF4,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF5 = mult(b,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f26,plain,
mult(b,sF4) = sF5,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF6 = mult(a,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f28,plain,
mult(a,sF5) = sF6,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF7 = mult(sF6,b),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f30,plain,
mult(sF6,b) = sF7,
inference(reorient_equations,[],[f29]) ).
fof(f31,plain,
sF3 != sF7,
inference(definition_folding,[],[f14,f30,f28,f26,f24,f22,f20,f18,f16]) ).
fof(f35,plain,
sF4 = ld(b,sF5),
inference(superposition,[],[f2,f26]) ).
fof(f39,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),X2)) = mult(rd(X0,X1),mult(X1,X2)),
inference(superposition,[],[f8,f1]) ).
fof(f78,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f87,plain,
! [X0,X1] : i(X1) = mult(ld(X1,X0),i(X0)),
inference(superposition,[],[f7,f1]) ).
fof(f88,plain,
! [X0,X1] : i(X1) = mult(i(mult(X0,X1)),i(i(X0))),
inference(superposition,[],[f7,f7]) ).
fof(f98,plain,
! [X0,X1] : i(mult(X0,X1)) = ld(X1,i(X0)),
inference(superposition,[],[f2,f7]) ).
fof(f101,plain,
! [X0] : i(X0) = ld(X0,unit),
inference(superposition,[],[f2,f13]) ).
fof(f104,plain,
! [X0] : ld(i(X0),unit) = X0,
inference(superposition,[],[f2,f11]) ).
fof(f105,plain,
! [X0] : i(i(X0)) = X0,
inference(forward_demodulation,[],[f104,f101]) ).
fof(f109,plain,
! [X0,X1] : i(X1) = mult(i(mult(X0,X1)),X0),
inference(backward_demodulation,[],[f88,f105]) ).
fof(f117,plain,
! [X0,X1] : i(rd(X0,X1)) = mult(X1,i(X0)),
inference(superposition,[],[f7,f3]) ).
fof(f122,plain,
! [X0,X1] : mult(mult(X0,X1),i(X0)) = mult(unit,ld(i(X0),mult(X1,i(X0)))),
inference(superposition,[],[f9,f13]) ).
fof(f126,plain,
! [X0,X1] : mult(mult(i(X0),X1),X0) = mult(unit,ld(X0,mult(X1,X0))),
inference(superposition,[],[f9,f11]) ).
fof(f141,plain,
! [X0,X1] : mult(mult(X0,i(X1)),X1) = mult(mult(X0,X1),ld(X1,unit)),
inference(superposition,[],[f9,f11]) ).
fof(f152,plain,
! [X2,X0,X1] : ld(X2,mult(X1,X2)) = ld(mult(X0,X2),mult(mult(X0,X1),X2)),
inference(superposition,[],[f2,f9]) ).
fof(f153,plain,
! [X0,X1] : mult(mult(X0,X1),i(X1)) = mult(mult(X0,i(X1)),X1),
inference(forward_demodulation,[],[f141,f101]) ).
fof(f157,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = mult(mult(i(X0),X1),X0),
inference(forward_demodulation,[],[f126,f6]) ).
fof(f159,plain,
! [X0,X1] : mult(mult(X0,X1),i(X0)) = ld(i(X0),mult(X1,i(X0))),
inference(forward_demodulation,[],[f122,f6]) ).
fof(f194,plain,
! [X2,X0,X1] : ld(i(mult(X0,X1)),mult(X2,i(mult(X0,X1)))) = ld(i(X0),mult(mult(X1,X2),i(mult(X0,X1)))),
inference(superposition,[],[f152,f7]) ).
fof(f201,plain,
! [X0] : ld(b,mult(X0,b)) = ld(sF0,mult(mult(a,X0),b)),
inference(superposition,[],[f152,f16]) ).
fof(f211,plain,
! [X0,X1] : ld(X0,mult(i(X1),X0)) = ld(mult(X1,X0),mult(unit,X0)),
inference(superposition,[],[f152,f13]) ).
fof(f216,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = ld(mult(i(X1),X0),mult(unit,X0)),
inference(superposition,[],[f152,f11]) ).
fof(f228,plain,
! [X0,X1] : ld(i(mult(X0,X1)),mult(X1,i(mult(X0,X1)))) = ld(mult(X0,i(mult(X0,X1))),unit),
inference(superposition,[],[f152,f13]) ).
fof(f235,plain,
! [X0,X1] : i(mult(X0,i(mult(X0,X1)))) = ld(i(mult(X0,X1)),mult(X1,i(mult(X0,X1)))),
inference(forward_demodulation,[],[f228,f101]) ).
fof(f238,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = ld(mult(i(X1),X0),X0),
inference(forward_demodulation,[],[f216,f6]) ).
fof(f240,plain,
! [X0,X1] : ld(X0,mult(i(X1),X0)) = ld(mult(X1,X0),X0),
inference(forward_demodulation,[],[f211,f6]) ).
fof(f257,plain,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),i(mult(X0,X1))) = ld(i(X0),mult(mult(X1,X2),i(mult(X0,X1)))),
inference(forward_demodulation,[],[f194,f159]) ).
fof(f263,plain,
! [X0,X1] : i(mult(X0,i(mult(X0,X1)))) = mult(mult(mult(X0,X1),X1),i(mult(X0,X1))),
inference(forward_demodulation,[],[f235,f159]) ).
fof(f275,plain,
! [X0,X1] : mult(i(X0),X1) = i(ld(X1,X0)),
inference(superposition,[],[f109,f1]) ).
fof(f294,plain,
! [X0,X1] : i(mult(X1,X0)) = rd(i(X0),X1),
inference(superposition,[],[f4,f109]) ).
fof(f296,plain,
! [X2,X0,X1] : mult(mult(X1,i(mult(X2,X0))),X2) = mult(mult(X1,X2),ld(X2,i(X0))),
inference(superposition,[],[f9,f109]) ).
fof(f299,plain,
! [X2,X0,X1] : mult(mult(X1,X2),i(mult(X0,X2))) = mult(mult(X1,i(mult(X2,X0))),X2),
inference(forward_demodulation,[],[f296,f98]) ).
fof(f323,plain,
! [X0,X1] : mult(i(X0),X1) = rd(ld(X0,mult(X1,X0)),X0),
inference(superposition,[],[f4,f157]) ).
fof(f324,plain,
! [X0,X1] : i(mult(i(X0),X1)) = mult(X0,i(ld(X0,mult(X1,X0)))),
inference(superposition,[],[f7,f157]) ).
fof(f331,plain,
! [X0,X1] : i(mult(i(X0),X1)) = mult(X0,mult(i(mult(X1,X0)),X0)),
inference(forward_demodulation,[],[f324,f275]) ).
fof(f361,plain,
ld(b,mult(sF5,b)) = ld(sF0,mult(sF6,b)),
inference(superposition,[],[f201,f28]) ).
fof(f372,plain,
ld(b,mult(sF5,b)) = ld(sF0,sF7),
inference(forward_demodulation,[],[f361,f30]) ).
fof(f428,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),i(X0))) = mult(rd(X1,X0),unit),
inference(superposition,[],[f39,f13]) ).
fof(f435,plain,
! [X0,X1] : mult(i(X0),mult(ld(i(X0),X1),X0)) = mult(rd(X1,i(X0)),unit),
inference(superposition,[],[f39,f11]) ).
fof(f452,plain,
! [X0,X1] : mult(i(X0),mult(ld(i(X0),X1),X0)) = rd(X1,i(X0)),
inference(forward_demodulation,[],[f435,f5]) ).
fof(f455,plain,
! [X0,X1] : rd(X1,X0) = mult(X0,mult(ld(X0,X1),i(X0))),
inference(forward_demodulation,[],[f428,f5]) ).
fof(f558,plain,
! [X0,X1] : ld(X0,X1) = rd(i(X0),i(X1)),
inference(superposition,[],[f4,f87]) ).
fof(f568,plain,
! [X0,X1] : ld(X0,X1) = i(mult(i(X1),X0)),
inference(forward_demodulation,[],[f558,f294]) ).
fof(f579,plain,
! [X0,X1] : ld(X1,X0) = mult(X0,mult(i(mult(X1,X0)),X0)),
inference(backward_demodulation,[],[f331,f568]) ).
fof(f619,plain,
! [X2,X0,X1] : ld(X2,mult(i(X1),X0)) = i(mult(ld(X0,X1),X2)),
inference(superposition,[],[f568,f568]) ).
fof(f622,plain,
! [X0,X1] : i(X0) = ld(ld(i(X1),X0),X1),
inference(superposition,[],[f568,f1]) ).
fof(f644,plain,
! [X0,X1] : ld(mult(X1,X0),X0) = i(mult(ld(X0,X1),X0)),
inference(backward_demodulation,[],[f240,f619]) ).
fof(f660,plain,
! [X0,X1] : ld(i(X1),X0) = rd(X1,i(X0)),
inference(superposition,[],[f78,f622]) ).
fof(f666,plain,
! [X0,X1] : ld(i(X1),X0) = mult(i(X0),mult(ld(i(X0),X1),X0)),
inference(backward_demodulation,[],[f452,f660]) ).
fof(f698,plain,
! [X0,X1] : ld(i(X1),X0) = mult(X0,mult(ld(X0,X1),X0)),
inference(superposition,[],[f579,f568]) ).
fof(f702,plain,
! [X0,X1] : mult(i(mult(X0,X1)),X1) = ld(X1,ld(X0,X1)),
inference(superposition,[],[f2,f579]) ).
fof(f805,plain,
! [X0,X1] : mult(ld(X1,X0),X1) = ld(X1,ld(i(X0),X1)),
inference(superposition,[],[f2,f698]) ).
fof(f879,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),i(X0))) = ld(i(X1),i(X0)),
inference(superposition,[],[f666,f105]) ).
fof(f883,plain,
! [X0,X1] : mult(i(X1),mult(X0,X1)) = ld(i(mult(i(X1),X0)),X1),
inference(superposition,[],[f666,f2]) ).
fof(f905,plain,
! [X0,X1] : ld(ld(X0,X1),X1) = mult(i(X1),mult(X0,X1)),
inference(forward_demodulation,[],[f883,f568]) ).
fof(f907,plain,
! [X0,X1] : i(mult(X0,i(X1))) = mult(X0,mult(ld(X0,X1),i(X0))),
inference(forward_demodulation,[],[f879,f98]) ).
fof(f916,plain,
! [X0,X1] : i(mult(X0,i(X1))) = rd(X1,X0),
inference(forward_demodulation,[],[f907,f455]) ).
fof(f920,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = mult(mult(mult(X0,X1),X1),i(mult(X0,X1))),
inference(backward_demodulation,[],[f263,f916]) ).
fof(f928,plain,
! [X0,X1] : mult(X0,mult(X1,i(X0))) = ld(ld(X1,i(X0)),i(X0)),
inference(superposition,[],[f905,f105]) ).
fof(f956,plain,
! [X0,X1] : mult(X0,X1) = ld(i(X1),ld(ld(X0,X1),X1)),
inference(superposition,[],[f2,f905]) ).
fof(f982,plain,
! [X0,X1] : mult(X0,mult(X1,i(X0))) = i(mult(X0,ld(X1,i(X0)))),
inference(forward_demodulation,[],[f928,f98]) ).
fof(f995,plain,
! [X0,X1] : i(mult(X0,i(mult(X0,X1)))) = mult(X0,mult(X1,i(X0))),
inference(forward_demodulation,[],[f982,f98]) ).
fof(f1003,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = mult(X0,mult(X1,i(X0))),
inference(forward_demodulation,[],[f995,f916]) ).
fof(f1016,plain,
! [X2,X0,X1] : rd(mult(i(X1),X0),X2) = i(mult(X2,ld(X0,X1))),
inference(superposition,[],[f916,f568]) ).
fof(f1038,plain,
! [X2,X0,X1] : ld(X2,mult(X1,i(X0))) = i(mult(rd(X0,X1),X2)),
inference(superposition,[],[f568,f916]) ).
fof(f1046,plain,
! [X0,X1] : mult(mult(X0,X1),i(X0)) = i(mult(rd(X0,X1),i(X0))),
inference(backward_demodulation,[],[f159,f1038]) ).
fof(f1047,plain,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),i(mult(X0,X1))) = i(mult(rd(mult(X0,X1),mult(X1,X2)),i(X0))),
inference(backward_demodulation,[],[f257,f1038]) ).
fof(f1060,plain,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),i(mult(X0,X1))) = rd(X0,rd(mult(X0,X1),mult(X1,X2))),
inference(forward_demodulation,[],[f1047,f916]) ).
fof(f1061,plain,
! [X0,X1] : mult(mult(X0,X1),i(X0)) = rd(X0,rd(X0,X1)),
inference(forward_demodulation,[],[f1046,f916]) ).
fof(f1068,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = rd(X0,rd(mult(X0,X1),mult(X1,X1))),
inference(backward_demodulation,[],[f920,f1060]) ).
fof(f1083,plain,
! [X0,X1] : mult(X0,i(X1)) = rd(X1,rd(X1,ld(X1,X0))),
inference(superposition,[],[f1061,f1]) ).
fof(f1187,plain,
! [X0,X1] : mult(X1,i(X0)) = ld(X0,ld(ld(X1,i(X0)),i(X0))),
inference(superposition,[],[f956,f105]) ).
fof(f1228,plain,
! [X0,X1] : mult(X1,i(X0)) = ld(X0,i(mult(X0,ld(X1,i(X0))))),
inference(forward_demodulation,[],[f1187,f98]) ).
fof(f1238,plain,
! [X0,X1] : mult(X1,i(X0)) = i(mult(mult(X0,ld(X1,i(X0))),X0)),
inference(forward_demodulation,[],[f1228,f98]) ).
fof(f1247,plain,
! [X0,X1] : mult(X1,i(X0)) = i(mult(mult(X0,i(mult(X0,X1))),X0)),
inference(forward_demodulation,[],[f1238,f98]) ).
fof(f1253,plain,
! [X0,X1] : mult(X1,i(X0)) = i(mult(mult(X0,X0),i(mult(X1,X0)))),
inference(forward_demodulation,[],[f1247,f299]) ).
fof(f1257,plain,
! [X0,X1] : mult(X1,i(X0)) = rd(mult(X1,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f1253,f916]) ).
fof(f1259,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = rd(X0,mult(X0,i(X1))),
inference(backward_demodulation,[],[f1068,f1257]) ).
fof(f1267,plain,
! [X0,X1] : rd(mult(ld(X0,X1),X1),ld(X0,X1)) = rd(ld(X0,X1),i(X0)),
inference(superposition,[],[f1259,f87]) ).
fof(f1270,plain,
! [X0,X1] : rd(mult(rd(X0,i(X1)),X1),rd(X0,i(X1))) = rd(rd(X0,i(X1)),X0),
inference(superposition,[],[f1259,f3]) ).
fof(f1290,plain,
! [X0,X1] : rd(mult(ld(i(X0),X1),X1),ld(i(X0),X1)) = rd(ld(i(X0),X1),X0),
inference(forward_demodulation,[],[f1270,f660]) ).
fof(f1292,plain,
! [X0,X1] : rd(mult(ld(X0,X1),X1),ld(X0,X1)) = ld(i(ld(X0,X1)),X0),
inference(forward_demodulation,[],[f1267,f660]) ).
fof(f1305,plain,
! [X0,X1] : ld(mult(i(X1),X0),X0) = rd(mult(ld(X0,X1),X1),ld(X0,X1)),
inference(forward_demodulation,[],[f1292,f275]) ).
fof(f1315,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = rd(mult(ld(X0,X1),X1),ld(X0,X1)),
inference(forward_demodulation,[],[f1305,f238]) ).
fof(f1321,plain,
! [X0,X1] : ld(i(X0),mult(X1,i(X0))) = rd(ld(i(X0),X1),X0),
inference(backward_demodulation,[],[f1290,f1315]) ).
fof(f1325,plain,
! [X0,X1] : i(mult(rd(X0,X1),i(X0))) = rd(ld(i(X0),X1),X0),
inference(forward_demodulation,[],[f1321,f1038]) ).
fof(f1329,plain,
! [X0,X1] : rd(X0,rd(X0,X1)) = rd(ld(i(X0),X1),X0),
inference(forward_demodulation,[],[f1325,f916]) ).
fof(f1456,plain,
! [X0,X1] : i(mult(X0,i(X1))) = mult(X1,i(mult(mult(X0,X1),i(X1)))),
inference(superposition,[],[f7,f153]) ).
fof(f1475,plain,
! [X0,X1] : i(mult(X0,i(X1))) = mult(X1,rd(X1,mult(X0,X1))),
inference(forward_demodulation,[],[f1456,f916]) ).
fof(f1501,plain,
! [X0,X1] : rd(X1,X0) = mult(X1,rd(X1,mult(X0,X1))),
inference(forward_demodulation,[],[f1475,f916]) ).
fof(f1599,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = ld(X0,rd(X0,X1)),
inference(superposition,[],[f2,f1501]) ).
fof(f1725,plain,
rd(b,sF1) = ld(b,rd(b,c)),
inference(superposition,[],[f1599,f18]) ).
fof(f1900,plain,
! [X2,X0,X1] : i(mult(X2,mult(i(X1),X0))) = rd(ld(X0,X1),X2),
inference(superposition,[],[f294,f568]) ).
fof(f1901,plain,
! [X2,X0,X1] : i(mult(X2,mult(X1,i(X0)))) = rd(rd(X0,X1),X2),
inference(superposition,[],[f294,f916]) ).
fof(f1911,plain,
! [X0,X1] : rd(mult(i(X0),X1),i(X0)) = i(mult(mult(i(X0),i(X1)),X0)),
inference(superposition,[],[f1259,f294]) ).
fof(f1915,plain,
! [X0,X1] : rd(mult(i(X0),X1),i(X0)) = i(ld(X0,mult(i(X1),X0))),
inference(forward_demodulation,[],[f1911,f157]) ).
fof(f1926,plain,
! [X0,X1] : mult(i(mult(i(X1),X0)),X0) = rd(mult(i(X0),X1),i(X0)),
inference(forward_demodulation,[],[f1915,f275]) ).
fof(f1933,plain,
! [X0,X1] : mult(i(mult(i(X1),X0)),X0) = i(mult(i(X0),ld(X1,X0))),
inference(forward_demodulation,[],[f1926,f1016]) ).
fof(f1937,plain,
! [X0,X1] : mult(i(mult(i(X1),X0)),X0) = ld(ld(X1,X0),X0),
inference(forward_demodulation,[],[f1933,f568]) ).
fof(f1941,plain,
! [X0,X1] : ld(X0,ld(i(X1),X0)) = ld(ld(X1,X0),X0),
inference(forward_demodulation,[],[f1937,f702]) ).
fof(f1944,plain,
! [X0,X1] : mult(ld(X0,X1),X0) = ld(ld(X1,X0),X0),
inference(forward_demodulation,[],[f1941,f805]) ).
fof(f2207,plain,
! [X0,X1] : i(ld(X1,X0)) = mult(mult(ld(X0,X1),X0),i(X0)),
inference(superposition,[],[f87,f1944]) ).
fof(f2213,plain,
! [X0,X1] : mult(i(X0),X1) = mult(mult(ld(X0,X1),X0),i(X0)),
inference(forward_demodulation,[],[f2207,f275]) ).
fof(f2632,plain,
! [X0,X1] : mult(mult(X0,i(X1)),i(X0)) = i(rd(mult(X0,X1),X0)),
inference(superposition,[],[f117,f1259]) ).
fof(f2672,plain,
! [X0,X1] : mult(X0,i(mult(X0,X1))) = mult(mult(X0,i(X1)),i(X0)),
inference(forward_demodulation,[],[f2632,f117]) ).
fof(f2678,plain,
! [X0,X1] : mult(X0,i(mult(X0,X1))) = rd(X0,rd(X0,i(X1))),
inference(forward_demodulation,[],[f2672,f1061]) ).
fof(f2680,plain,
! [X0,X1] : mult(X0,i(mult(X0,X1))) = rd(X0,ld(i(X0),X1)),
inference(forward_demodulation,[],[f2678,f660]) ).
fof(f2985,plain,
! [X0,X1] : rd(X1,ld(i(X1),X0)) = ld(mult(X0,i(X1)),i(X1)),
inference(superposition,[],[f916,f644]) ).
fof(f3009,plain,
! [X0,X1] : rd(X1,ld(i(X1),X0)) = i(mult(X1,mult(X0,i(X1)))),
inference(forward_demodulation,[],[f2985,f98]) ).
fof(f3030,plain,
! [X0,X1] : rd(X1,ld(i(X1),X0)) = rd(rd(X1,X0),X1),
inference(forward_demodulation,[],[f3009,f1901]) ).
fof(f3040,plain,
! [X0,X1] : mult(X0,i(mult(X0,X1))) = rd(rd(X0,X1),X0),
inference(backward_demodulation,[],[f2680,f3030]) ).
fof(f3094,plain,
! [X0,X1] : mult(X1,rd(X0,X1)) = rd(rd(X1,i(X0)),X1),
inference(superposition,[],[f3040,f916]) ).
fof(f3145,plain,
! [X0,X1] : mult(X1,rd(X0,X1)) = rd(ld(i(X1),X0),X1),
inference(forward_demodulation,[],[f3094,f660]) ).
fof(f3184,plain,
! [X0,X1] : rd(X0,rd(X0,X1)) = mult(X0,rd(X1,X0)),
inference(backward_demodulation,[],[f1329,f3145]) ).
fof(f3233,plain,
! [X0,X1] : mult(X0,i(X1)) = mult(X1,rd(ld(X1,X0),X1)),
inference(backward_demodulation,[],[f1083,f3184]) ).
fof(f3594,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = mult(mult(X1,X0),i(X0)),
inference(superposition,[],[f3233,f323]) ).
fof(f3632,plain,
! [X0,X1] : mult(mult(X0,i(X1)),X1) = mult(X1,mult(i(X1),X0)),
inference(backward_demodulation,[],[f153,f3594]) ).
fof(f3644,plain,
! [X0,X1] : mult(i(X0),X1) = mult(X0,mult(i(X0),ld(X0,X1))),
inference(backward_demodulation,[],[f2213,f3594]) ).
fof(f3791,plain,
! [X0,X1] : rd(X0,mult(X1,i(i(X0)))) = i(mult(i(X0),mult(i(i(X0)),X1))),
inference(superposition,[],[f916,f3632]) ).
fof(f3792,plain,
! [X0,X1] : rd(X0,mult(X1,i(i(X0)))) = rd(ld(X1,i(X0)),i(X0)),
inference(forward_demodulation,[],[f3791,f1900]) ).
fof(f3833,plain,
! [X0,X1] : rd(X0,mult(X1,i(i(X0)))) = ld(i(ld(X1,i(X0))),X0),
inference(forward_demodulation,[],[f3792,f660]) ).
fof(f3865,plain,
! [X0,X1] : rd(X0,mult(X1,i(i(X0)))) = ld(mult(i(i(X0)),X1),X0),
inference(forward_demodulation,[],[f3833,f275]) ).
fof(f3893,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = ld(mult(X0,X1),X0),
inference(forward_demodulation,[],[f3865,f105]) ).
fof(f3908,plain,
! [X0,X1] : ld(X0,rd(X0,X1)) = ld(mult(X0,X1),X0),
inference(forward_demodulation,[],[f3893,f1599]) ).
fof(f4841,plain,
mult(i(b),sF5) = mult(b,mult(i(b),sF4)),
inference(superposition,[],[f3644,f35]) ).
fof(f7566,plain,
ld(b,rd(b,c)) = ld(sF4,b),
inference(superposition,[],[f3908,f24]) ).
fof(f7612,plain,
rd(b,sF1) = ld(sF4,b),
inference(backward_demodulation,[],[f1725,f7566]) ).
fof(f7835,plain,
mult(sF1,i(b)) = i(ld(sF4,b)),
inference(superposition,[],[f117,f7612]) ).
fof(f7846,plain,
mult(i(b),sF4) = mult(sF1,i(b)),
inference(forward_demodulation,[],[f7835,f275]) ).
fof(f7852,plain,
mult(i(b),sF5) = mult(b,mult(sF1,i(b))),
inference(backward_demodulation,[],[f4841,f7846]) ).
fof(f7856,plain,
rd(mult(b,sF1),b) = mult(i(b),sF5),
inference(forward_demodulation,[],[f7852,f1003]) ).
fof(f7858,plain,
rd(sF2,b) = mult(i(b),sF5),
inference(forward_demodulation,[],[f7856,f20]) ).
fof(f8758,plain,
ld(b,mult(sF5,b)) = mult(rd(sF2,b),b),
inference(superposition,[],[f157,f7858]) ).
fof(f8791,plain,
sF2 = ld(b,mult(sF5,b)),
inference(forward_demodulation,[],[f8758,f3]) ).
fof(f8807,plain,
sF2 = ld(sF0,sF7),
inference(backward_demodulation,[],[f372,f8791]) ).
fof(f8847,plain,
mult(sF0,sF2) = sF7,
inference(superposition,[],[f1,f8807]) ).
fof(f8863,plain,
sF3 = sF7,
inference(forward_demodulation,[],[f8847,f22]) ).
fof(f8864,plain,
$false,
inference(forward_subsumption_resolution,[],[f8863,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP697-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n013.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 10:35:36 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.89/4.04 % (26286)Detected a unit-equality problem, will run specialized UEQ schedule.
% 20.89/4.04 % (26291)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3758542725:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 20.89/4.04 % (26295)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2875969106:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 20.89/4.04 % (26292)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3784702216:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 20.89/4.04 % (26293)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3035164079:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 20.89/4.04 % (26294)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2879145723:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 20.89/4.04 % (26296)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3769385832:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 20.89/4.04 % (26295)Instruction limit reached!
% 20.89/4.04 % (26295)------------------------------
% 20.89/4.04 % (26295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.04 % (26295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.04 % (26295)CaDiCaL version: 2.1.3
% 20.89/4.04 % (26295)Termination reason: Instruction limit
% 20.89/4.04 % (26295)Termination phase: Saturation
% 20.89/4.04 % (26295)Time elapsed: 0.105 s
% 20.89/4.04 % (26295)Peak memory usage: 89 MB
% 20.89/4.04 % (26295)Instructions burned: 182 (million)
% 20.89/4.04 % (26297)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1287024374:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 20.89/4.04 % (26294)Instruction limit reached!
% 20.89/4.04 % (26294)------------------------------
% 20.89/4.04 % (26294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.04 % (26294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.04 % (26294)CaDiCaL version: 2.1.3
% 20.89/4.04 % (26294)Termination reason: Instruction limit
% 20.89/4.04 % (26294)Termination phase: Saturation
% 20.89/4.04 % (26294)Time elapsed: 0.130 s
% 20.89/4.04 % (26294)Peak memory usage: 88 MB
% 20.89/4.04 % (26294)Instructions burned: 136 (million)
% 20.89/4.04 % (26304)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=373105493:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 20.89/4.04 % (26296)Instruction limit reached!
% 20.89/4.04 % (26296)------------------------------
% 20.89/4.04 % (26296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.04 % (26296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.04 % (26296)CaDiCaL version: 2.1.3
% 20.89/4.04 % (26296)Termination reason: Instruction limit
% 20.89/4.04 % (26296)Termination phase: Saturation
% 20.89/4.04 % (26296)Time elapsed: 0.239 s
% 20.89/4.04 % (26296)Peak memory usage: 89 MB
% 20.89/4.04 % (26296)Instructions burned: 257 (million)
% 20.89/4.04 % (26306)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1789775904:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 20.89/4.04 % (26308)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=723603747:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 20.89/4.04 % (26308)Instruction limit reached!
% 20.89/4.04 % (26308)------------------------------
% 20.89/4.04 % (26308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.04 % (26308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.04 % (26308)CaDiCaL version: 2.1.3
% 20.89/4.04 % (26308)Termination reason: Instruction limit
% 20.89/4.04 % (26308)Termination phase: Saturation
% 20.89/4.04 % (26308)Time elapsed: 0.124 s
% 20.89/4.04 % (26308)Peak memory usage: 89 MB
% 20.89/4.04 % (26308)Instructions burned: 216 (million)
% 20.89/4.04 % (26311)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2806455544:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 20.89/4.04 % (26311)Instruction limit reached!
% 20.89/4.04 % (26311)------------------------------
% 20.89/4.04 % (26311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.04 % (26311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.04 % (26311)CaDiCaL version: 2.1.3
% 20.89/4.04 % (26311)Termination reason: Instruction limit
% 20.89/4.04 % (26311)Termination phase: Saturation
% 20.89/4.04 % (26311)Time elapsed: 0.216 s
% 20.89/4.04 % (26311)Peak memory usage: 94 MB
% 20.89/4.04 % (26311)Instructions burned: 317 (million)
% 20.89/4.04 % (26297)Instruction limit reached!
% 20.89/4.04 % (26297)------------------------------
% 20.89/4.04 % (26297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.04 % (26297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.04 % (26297)CaDiCaL version: 2.1.3
% 20.89/4.04 % (26297)Termination reason: Instruction limit
% 20.89/4.04 % (26297)Termination phase: Saturation
% 20.89/4.04 % (26297)Time elapsed: 1.100 s
% 20.89/4.04 % (26297)Peak memory usage: 102 MB
% 20.89/4.04 % (26297)Instructions burned: 1187 (million)
% 20.89/4.04 % (26313)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2690085125:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 20.89/4.04 % (26315)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2313492988:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2985 on theBenchmark for (2985ds/2836Mi)
% 20.89/4.04 % (26304)Instruction limit reached!
% 20.89/4.04 % (26304)------------------------------
% 20.89/4.04 % (26304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.04 % (26304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.04 % (26304)CaDiCaL version: 2.1.3
% 20.89/4.04 % (26304)Termination reason: Instruction limit
% 20.89/4.04 % (26304)Termination phase: Saturation
% 20.89/4.04 % (26304)Time elapsed: 1.249 s
% 20.89/4.04 % (26304)Peak memory usage: 140 MB
% 20.89/4.04 % (26304)Instructions burned: 2051 (million)
% 20.89/4.04 % (26317)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3637127994:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2982 on theBenchmark for (2982ds/14534Mi)
% 20.89/4.04 % (26293)First to succeed.
% 20.89/4.04 % (26293)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26286"
% 20.89/4.04 % (26293)Refutation found. Thanks to Tanya!
% 20.89/4.04 % SZS status Unsatisfiable for theBenchmark
% 20.89/4.04 % SZS output start Proof for theBenchmark
% See solution above
% 21.92/4.24 % (26293)------------------------------
% 21.92/4.24 % (26293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.92/4.24 % (26293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.92/4.24 % (26293)CaDiCaL version: 2.1.3
% 21.92/4.24 % (26293)Termination reason: Refutation
% 21.92/4.24 % (26293)Time elapsed: 2.322 s
% 21.92/4.24 % (26293)Peak memory usage: 141 MB
% 21.92/4.24 % (26293)Instructions burned: 2244 (million)
% 21.92/4.24 % (26293)------------------------------
% 21.92/4.24 % (26293)------------------------------
% 21.92/4.24 % (26286)Success in time 3.063 s
% 21.92/4.24 % Vampire exiting
%------------------------------------------------------------------------------