%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP655-14 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 10:15:26 AM UTC 2026
% Result : Unsatisfiable 72.54s 11.12s
% Output : Refutation 73.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 88
% Number of leaves : 8
% Syntax : Number of formulae : 403 ( 403 unt; 2 def)
% Number of atoms : 403 ( 402 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 575 ( 575 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,negated_conjecture,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,negated_conjecture,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,negated_conjecture,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X2,X1))) = mult(mult(mult(X0,X1),X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,negated_conjecture,
mult(ld(x1,x1),x0) != x0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f7,plain,
x0 != mult(ld(x1,x1),x0),
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF0 = ld(x1,x1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f9,plain,
ld(x1,x1) = sF0,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF1 = mult(sF0,x0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f11,plain,
mult(sF0,x0) = sF1,
inference(reorient_equations,[],[f10]) ).
fof(f12,plain,
x0 != sF1,
inference(definition_folding,[],[f7,f11,f9]) ).
fof(f13,plain,
x1 = mult(x1,sF0),
inference(superposition,[],[f1,f9]) ).
fof(f14,plain,
x0 = ld(sF0,sF1),
inference(superposition,[],[f2,f11]) ).
fof(f15,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f16,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),mult(X2,ld(X1,X0)))) = mult(mult(X0,X2),ld(X1,X0)),
inference(superposition,[],[f5,f1]) ).
fof(f18,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,mult(X2,X1))) = mult(mult(X0,X2),X1),
inference(superposition,[],[f5,f3]) ).
fof(f20,plain,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,mult(X1,X2))) = mult(mult(X0,mult(X1,mult(X2,X1))),X2),
inference(superposition,[],[f5,f5]) ).
fof(f21,plain,
! [X2,X0,X1] : mult(X0,X2) = mult(X1,mult(X2,mult(ld(mult(X1,X2),X0),X2))),
inference(superposition,[],[f5,f1]) ).
fof(f22,plain,
! [X2,X0,X1] : ld(mult(mult(X0,X1),X2),mult(X0,mult(X1,mult(X2,X1)))) = X1,
inference(superposition,[],[f2,f5]) ).
fof(f23,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f24,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = rd(mult(X0,mult(X1,mult(X2,X1))),X1),
inference(superposition,[],[f4,f5]) ).
fof(f31,plain,
! [X2,X0,X1] : mult(mult(X1,X2),rd(X0,X2)) = rd(mult(X1,mult(X2,X0)),X2),
inference(superposition,[],[f24,f3]) ).
fof(f50,plain,
! [X0,X1] : mult(mult(X0,X1),ld(X1,X0)) = mult(X1,mult(ld(X1,X0),X0)),
inference(superposition,[],[f16,f1]) ).
fof(f55,plain,
! [X2,X0,X1] : mult(ld(X2,X0),mult(X1,ld(X2,X0))) = ld(X2,mult(mult(X0,X1),ld(X2,X0))),
inference(superposition,[],[f2,f16]) ).
fof(f62,plain,
! [X2,X0,X1] : mult(ld(X1,X2),mult(ld(X2,X0),ld(X1,X2))) = ld(X1,mult(X0,ld(X1,X2))),
inference(superposition,[],[f55,f1]) ).
fof(f68,plain,
! [X0] : mult(sF0,mult(X0,sF0)) = ld(x1,mult(mult(x1,X0),sF0)),
inference(superposition,[],[f55,f9]) ).
fof(f74,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = mult(ld(mult(X0,X1),X0),mult(X1,ld(mult(X0,X1),X0))),
inference(superposition,[],[f2,f55]) ).
fof(f116,plain,
! [X2,X0,X1] : mult(X1,mult(ld(mult(X2,X1),X0),X1)) = ld(X2,mult(X0,X1)),
inference(superposition,[],[f2,f21]) ).
fof(f139,plain,
! [X2,X0,X1] : ld(rd(X0,X1),mult(X2,X1)) = mult(X1,mult(ld(X0,X2),X1)),
inference(superposition,[],[f116,f3]) ).
fof(f148,plain,
! [X2,X0,X1] : mult(ld(mult(X0,X2),X1),X2) = ld(X2,ld(X0,mult(X1,X2))),
inference(superposition,[],[f2,f116]) ).
fof(f161,plain,
! [X2,X0,X1] : mult(ld(mult(X1,X2),rd(X0,X2)),X2) = ld(X2,ld(X1,X0)),
inference(superposition,[],[f148,f3]) ).
fof(f164,plain,
! [X0,X1] : mult(ld(mult(X1,X0),X1),X0) = ld(X0,X0),
inference(superposition,[],[f148,f2]) ).
fof(f176,plain,
! [X0,X1] : ld(ld(X1,X0),ld(X1,X0)) = mult(ld(X0,X1),ld(X1,X0)),
inference(superposition,[],[f164,f1]) ).
fof(f182,plain,
! [X0,X1] : ld(X1,X1) = mult(ld(X0,rd(X0,X1)),X1),
inference(superposition,[],[f164,f3]) ).
fof(f183,plain,
ld(sF0,sF0) = mult(ld(x1,x1),sF0),
inference(superposition,[],[f164,f13]) ).
fof(f187,plain,
! [X0,X1] : ld(ld(mult(X1,X0),X1),ld(X0,X0)) = X0,
inference(superposition,[],[f2,f164]) ).
fof(f188,plain,
! [X0,X1] : ld(mult(X1,X0),X1) = rd(ld(X0,X0),X0),
inference(superposition,[],[f4,f164]) ).
fof(f196,plain,
ld(sF0,sF0) = mult(sF0,sF0),
inference(forward_demodulation,[],[f183,f9]) ).
fof(f201,plain,
! [X0,X1] : ld(X0,rd(X0,X1)) = rd(ld(X1,X1),X1),
inference(superposition,[],[f188,f3]) ).
fof(f202,plain,
! [X0] : ld(mult(X0,x1),X0) = rd(sF0,x1),
inference(superposition,[],[f188,f9]) ).
fof(f203,plain,
! [X2,X0,X1] : ld(mult(X0,X1),X0) = ld(mult(X2,X1),X2),
inference(superposition,[],[f188,f188]) ).
fof(f207,plain,
! [X2,X0,X1] : mult(rd(ld(X0,X0),X0),mult(X2,rd(ld(X0,X0),X0))) = ld(mult(X1,X0),mult(mult(X1,X2),rd(ld(X0,X0),X0))),
inference(superposition,[],[f55,f188]) ).
fof(f209,plain,
! [X0,X1] : mult(X1,X0) = rd(X1,rd(ld(X0,X0),X0)),
inference(superposition,[],[f23,f188]) ).
fof(f210,plain,
! [X0,X1] : mult(mult(X1,X0),rd(ld(X0,X0),X0)) = X1,
inference(superposition,[],[f1,f188]) ).
fof(f226,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,rd(ld(X1,X1),X1)),
inference(superposition,[],[f210,f3]) ).
fof(f251,plain,
! [X2,X0,X1] : ld(mult(X1,X0),mult(mult(X1,X2),rd(ld(X0,X0),X0))) = mult(rd(ld(X0,X0),X0),rd(X2,X0)),
inference(backward_demodulation,[],[f207,f226]) ).
fof(f267,plain,
! [X2,X0,X1] : mult(rd(ld(X0,X0),X0),rd(X2,X0)) = ld(mult(X1,X0),rd(mult(X1,X2),X0)),
inference(forward_demodulation,[],[f251,f226]) ).
fof(f277,plain,
! [X2,X0,X1] : rd(X2,X1) = mult(X2,ld(mult(X0,X1),X0)),
inference(superposition,[],[f226,f188]) ).
fof(f292,plain,
! [X2,X0,X1] : mult(X0,mult(rd(ld(X1,X1),X1),mult(X2,rd(ld(X1,X1),X1)))) = rd(mult(mult(X0,rd(ld(X1,X1),X1)),X2),X1),
inference(superposition,[],[f5,f226]) ).
fof(f296,plain,
! [X2,X0,X1] : mult(X0,mult(rd(ld(X1,X1),X1),mult(X2,rd(ld(X1,X1),X1)))) = rd(mult(rd(X0,X1),X2),X1),
inference(forward_demodulation,[],[f292,f226]) ).
fof(f309,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = mult(ld(mult(X0,X1),X0),rd(X1,X1)),
inference(backward_demodulation,[],[f74,f277]) ).
fof(f313,plain,
! [X2,X0,X1] : rd(mult(rd(X0,X1),X2),X1) = mult(X0,mult(rd(ld(X1,X1),X1),rd(X2,X1))),
inference(forward_demodulation,[],[f296,f226]) ).
fof(f328,plain,
! [X0] : mult(X0,x1) = rd(X0,rd(sF0,x1)),
inference(superposition,[],[f209,f9]) ).
fof(f364,plain,
! [X2,X0,X1] : ld(X0,X2) = ld(mult(X1,ld(X2,X0)),X1),
inference(superposition,[],[f203,f1]) ).
fof(f371,plain,
! [X2,X0,X1] : ld(mult(X1,X2),X1) = ld(X0,rd(X0,X2)),
inference(superposition,[],[f203,f3]) ).
fof(f372,plain,
! [X0] : ld(x1,x1) = ld(mult(X0,sF0),X0),
inference(superposition,[],[f203,f13]) ).
fof(f390,plain,
! [X2,X3,X0,X1] : mult(ld(mult(X0,X1),X0),mult(X3,ld(mult(X0,X1),X0))) = ld(mult(X2,X1),mult(mult(X2,X3),ld(mult(X0,X1),X0))),
inference(superposition,[],[f55,f203]) ).
fof(f398,plain,
! [X2,X3,X0,X1] : mult(ld(mult(X0,X1),X0),mult(X3,ld(mult(X0,X1),X0))) = ld(mult(X2,X1),rd(mult(X2,X3),X1)),
inference(forward_demodulation,[],[f390,f277]) ).
fof(f407,plain,
! [X0] : sF0 = ld(mult(X0,sF0),X0),
inference(forward_demodulation,[],[f372,f9]) ).
fof(f414,plain,
! [X2,X3,X0,X1] : mult(ld(mult(X0,X1),X0),rd(X3,X1)) = ld(mult(X2,X1),rd(mult(X2,X3),X1)),
inference(forward_demodulation,[],[f398,f277]) ).
fof(f428,plain,
! [X0] : ld(X0,mult(X0,sF0)) = mult(sF0,mult(sF0,sF0)),
inference(superposition,[],[f116,f407]) ).
fof(f436,plain,
! [X0] : mult(X0,sF0) = rd(X0,sF0),
inference(superposition,[],[f23,f407]) ).
fof(f437,plain,
! [X0] : mult(mult(X0,sF0),sF0) = X0,
inference(superposition,[],[f1,f407]) ).
fof(f442,plain,
sF0 = mult(sF0,mult(sF0,sF0)),
inference(forward_demodulation,[],[f428,f2]) ).
fof(f485,plain,
! [X0,X1] : ld(mult(X0,sF0),mult(X1,sF0)) = mult(sF0,mult(ld(X0,X1),sF0)),
inference(superposition,[],[f116,f437]) ).
fof(f518,plain,
! [X2,X0,X1] : rd(X2,X1) = mult(X2,ld(X0,rd(X0,X1))),
inference(superposition,[],[f226,f201]) ).
fof(f579,plain,
! [X2,X3,X0,X1] : mult(ld(X0,rd(X0,X1)),mult(X3,ld(X0,rd(X0,X1)))) = ld(mult(X2,X1),mult(mult(X2,X3),ld(X0,rd(X0,X1)))),
inference(superposition,[],[f55,f371]) ).
fof(f580,plain,
! [X2,X3,X0,X1] : mult(mult(X2,X3),ld(X0,rd(X0,X1))) = mult(mult(X2,X1),mult(ld(X0,rd(X0,X1)),mult(X3,ld(X0,rd(X0,X1))))),
inference(superposition,[],[f16,f371]) ).
fof(f597,plain,
! [X2,X3,X0,X1] : mult(mult(X2,X3),ld(X0,rd(X0,X1))) = mult(mult(X2,X1),mult(ld(X0,rd(X0,X1)),rd(X3,X1))),
inference(forward_demodulation,[],[f580,f518]) ).
fof(f598,plain,
! [X2,X3,X0,X1] : ld(mult(X2,X1),rd(mult(X2,X3),X1)) = mult(ld(X0,rd(X0,X1)),mult(X3,ld(X0,rd(X0,X1)))),
inference(forward_demodulation,[],[f579,f518]) ).
fof(f611,plain,
! [X2,X3,X0,X1] : rd(mult(X2,X3),X1) = mult(mult(X2,X1),mult(ld(X0,rd(X0,X1)),rd(X3,X1))),
inference(forward_demodulation,[],[f597,f518]) ).
fof(f612,plain,
! [X2,X3,X0,X1] : ld(mult(X2,X1),rd(mult(X2,X3),X1)) = mult(ld(X0,rd(X0,X1)),rd(X3,X1)),
inference(forward_demodulation,[],[f598,f518]) ).
fof(f700,plain,
! [X2,X0,X1] : ld(ld(mult(X0,X1),X0),ld(mult(X0,X1),X0)) = ld(X2,rd(X2,rd(X1,X1))),
inference(superposition,[],[f371,f309]) ).
fof(f701,plain,
! [X2,X0,X1] : ld(X2,rd(X2,rd(X1,X1))) = mult(ld(X0,mult(X0,X1)),ld(mult(X0,X1),X0)),
inference(forward_demodulation,[],[f700,f176]) ).
fof(f719,plain,
! [X2,X0,X1] : ld(X2,rd(X2,rd(X1,X1))) = rd(ld(X0,mult(X0,X1)),X1),
inference(forward_demodulation,[],[f701,f277]) ).
fof(f731,plain,
! [X2,X1] : rd(X1,X1) = ld(X2,rd(X2,rd(X1,X1))),
inference(forward_demodulation,[],[f719,f2]) ).
fof(f754,plain,
! [X0,X1] : mult(X1,rd(X0,X0)) = rd(X1,rd(X0,X0)),
inference(superposition,[],[f1,f731]) ).
fof(f778,plain,
! [X0] : rd(X0,mult(sF0,sF0)) = mult(X0,mult(sF0,sF0)),
inference(superposition,[],[f754,f436]) ).
fof(f1046,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X0)) = rd(X2,ld(X0,X1)),
inference(superposition,[],[f23,f364]) ).
fof(f1047,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X1,X0)),ld(X0,X1)) = X2,
inference(superposition,[],[f1,f364]) ).
fof(f1092,plain,
! [X2,X3,X0,X1] : mult(X3,ld(mult(mult(X1,X2),ld(X0,X1)),X0)) = rd(X3,mult(ld(X0,X1),mult(X2,ld(X0,X1)))),
inference(superposition,[],[f1046,f55]) ).
fof(f1209,plain,
! [X2,X3,X0,X1] : ld(mult(X0,ld(X2,X1)),mult(X3,ld(X1,X2))) = mult(ld(X1,X2),mult(ld(X0,X3),ld(X1,X2))),
inference(superposition,[],[f116,f1047]) ).
fof(f1279,plain,
! [X0] : mult(sF0,mult(mult(sF0,sF0),mult(X0,mult(sF0,sF0)))) = mult(mult(sF0,X0),mult(sF0,sF0)),
inference(superposition,[],[f16,f196]) ).
fof(f1281,plain,
! [X0] : mult(mult(sF0,sF0),mult(X0,mult(sF0,sF0))) = ld(sF0,mult(mult(sF0,X0),mult(sF0,sF0))),
inference(superposition,[],[f55,f196]) ).
fof(f1297,plain,
! [X0] : ld(sF0,mult(X0,mult(sF0,sF0))) = mult(mult(sF0,sF0),mult(ld(sF0,X0),mult(sF0,sF0))),
inference(superposition,[],[f116,f442]) ).
fof(f1298,plain,
! [X0] : mult(ld(mult(X0,mult(sF0,sF0)),sF0),mult(sF0,sF0)) = ld(mult(sF0,sF0),ld(X0,sF0)),
inference(superposition,[],[f148,f442]) ).
fof(f1409,plain,
! [X0] : rd(X0,x0) = mult(X0,ld(sF1,sF0)),
inference(superposition,[],[f277,f11]) ).
fof(f1433,plain,
! [X2,X3,X0,X1] : ld(X2,mult(rd(X0,X1),ld(X2,X0))) = mult(ld(X2,X0),mult(ld(mult(X3,X1),X3),ld(X2,X0))),
inference(superposition,[],[f55,f277]) ).
fof(f1435,plain,
! [X2,X3,X0,X1] : mult(ld(mult(X2,ld(mult(X3,X1),X3)),X0),ld(mult(X3,X1),X3)) = ld(ld(mult(X3,X1),X3),ld(X2,rd(X0,X1))),
inference(superposition,[],[f148,f277]) ).
fof(f1449,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X0,X1),X2),X1) = mult(X0,mult(X1,mult(ld(mult(X3,X2),X3),X1))),
inference(superposition,[],[f5,f277]) ).
fof(f1464,plain,
! [X2,X3,X0,X1] : ld(ld(mult(X3,X1),X3),ld(X2,rd(X0,X1))) = rd(ld(mult(X2,ld(mult(X3,X1),X3)),X0),X1),
inference(forward_demodulation,[],[f1435,f277]) ).
fof(f1497,plain,
! [X2,X3,X0,X1] : rd(ld(rd(X2,X1),X0),X1) = ld(ld(mult(X3,X1),X3),ld(X2,rd(X0,X1))),
inference(forward_demodulation,[],[f1464,f277]) ).
fof(f1637,plain,
! [X0,X1] : mult(sF0,mult(ld(X1,mult(X0,sF0)),sF0)) = ld(rd(X1,sF0),X0),
inference(superposition,[],[f139,f437]) ).
fof(f1639,plain,
! [X0] : mult(sF0,mult(ld(X0,x1),sF0)) = ld(rd(X0,sF0),x1),
inference(superposition,[],[f139,f13]) ).
fof(f1663,plain,
! [X0] : ld(mult(X0,sF0),x1) = mult(sF0,mult(ld(X0,x1),sF0)),
inference(forward_demodulation,[],[f1639,f436]) ).
fof(f1664,plain,
! [X0,X1] : mult(sF0,mult(ld(X1,mult(X0,sF0)),sF0)) = ld(mult(X1,sF0),X0),
inference(forward_demodulation,[],[f1637,f436]) ).
fof(f1712,plain,
! [X2,X0,X1] : mult(mult(X2,ld(mult(X0,X1),X0)),rd(X1,X1)) = mult(rd(X2,rd(X1,X1)),mult(rd(X1,X1),ld(mult(X0,X1),X0))),
inference(superposition,[],[f18,f309]) ).
fof(f1717,plain,
! [X2,X0,X1] : mult(mult(X1,rd(X0,X2)),X2) = mult(rd(X1,X2),mult(X2,X0)),
inference(superposition,[],[f18,f3]) ).
fof(f1725,plain,
! [X2,X0,X1] : rd(X0,X2) = rd(mult(mult(X0,X1),X2),mult(X2,mult(X1,X2))),
inference(superposition,[],[f4,f18]) ).
fof(f1750,plain,
! [X2,X0,X1] : mult(mult(X2,ld(mult(X0,X1),X0)),rd(X1,X1)) = mult(rd(X2,rd(X1,X1)),rd(rd(X1,X1),X1)),
inference(forward_demodulation,[],[f1712,f277]) ).
fof(f1767,plain,
! [X2,X0,X1] : mult(mult(X2,ld(mult(X0,X1),X0)),rd(X1,X1)) = mult(mult(X2,rd(X1,X1)),rd(rd(X1,X1),X1)),
inference(forward_demodulation,[],[f1750,f754]) ).
fof(f1777,plain,
! [X2,X1] : mult(mult(X2,rd(X1,X1)),rd(rd(X1,X1),X1)) = mult(rd(X2,X1),rd(X1,X1)),
inference(forward_demodulation,[],[f1767,f277]) ).
fof(f1804,plain,
! [X0] : ld(mult(sF0,sF0),ld(sF0,X0)) = mult(ld(sF0,rd(X0,mult(sF0,sF0))),mult(sF0,sF0)),
inference(superposition,[],[f161,f442]) ).
fof(f1832,plain,
! [X2,X0,X1] : ld(mult(X1,X0),rd(X2,X0)) = rd(ld(X0,ld(X1,X2)),X0),
inference(superposition,[],[f4,f161]) ).
fof(f1897,plain,
! [X0] : ld(mult(sF0,sF0),ld(sF0,X0)) = mult(ld(sF0,mult(X0,mult(sF0,sF0))),mult(sF0,sF0)),
inference(forward_demodulation,[],[f1804,f778]) ).
fof(f1977,plain,
! [X0,X1] : ld(mult(mult(x1,X0),sF0),x1) = ld(mult(X1,mult(sF0,mult(X0,sF0))),X1),
inference(superposition,[],[f364,f68]) ).
fof(f1978,plain,
! [X0,X1] : mult(X1,ld(mult(mult(x1,X0),sF0),x1)) = rd(X1,mult(sF0,mult(X0,sF0))),
inference(superposition,[],[f1046,f68]) ).
fof(f2169,plain,
! [X2,X0,X1] : ld(mult(X1,X2),rd(mult(X1,X0),X2)) = rd(ld(X2,X0),X2),
inference(superposition,[],[f1832,f2]) ).
fof(f2190,plain,
! [X0,X1] : rd(X0,ld(mult(X1,X0),X1)) = ld(mult(X0,ld(mult(X1,X0),X1)),rd(X0,ld(mult(X1,X0),X1))),
inference(superposition,[],[f1832,f187]) ).
fof(f2243,plain,
! [X0,X1] : mult(X0,ld(X1,mult(X1,X0))) = ld(mult(X0,ld(mult(X1,X0),X1)),mult(X0,ld(X1,mult(X1,X0)))),
inference(forward_demodulation,[],[f2190,f1046]) ).
fof(f2250,plain,
! [X3,X0,X1] : mult(ld(X0,rd(X0,X1)),rd(X3,X1)) = rd(ld(X1,X3),X1),
inference(backward_demodulation,[],[f612,f2169]) ).
fof(f2251,plain,
! [X3,X0,X1] : mult(ld(mult(X0,X1),X0),rd(X3,X1)) = rd(ld(X1,X3),X1),
inference(backward_demodulation,[],[f414,f2169]) ).
fof(f2252,plain,
! [X2,X0] : mult(rd(ld(X0,X0),X0),rd(X2,X0)) = rd(ld(X0,X2),X0),
inference(backward_demodulation,[],[f267,f2169]) ).
fof(f2270,plain,
! [X0,X1] : mult(X0,ld(X1,mult(X1,X0))) = mult(ld(X1,mult(X1,X0)),mult(ld(X0,X0),ld(X1,mult(X1,X0)))),
inference(forward_demodulation,[],[f2243,f1209]) ).
fof(f2272,plain,
! [X2,X0,X1] : rd(mult(rd(X0,X1),X2),X1) = mult(X0,rd(ld(X1,X2),X1)),
inference(backward_demodulation,[],[f313,f2252]) ).
fof(f2279,plain,
! [X2,X3,X1] : rd(mult(X2,X3),X1) = mult(mult(X2,X1),rd(ld(X1,X3),X1)),
inference(backward_demodulation,[],[f611,f2250]) ).
fof(f2291,plain,
! [X0] : mult(X0,mult(ld(X0,X0),X0)) = mult(X0,X0),
inference(forward_demodulation,[],[f2270,f2]) ).
fof(f2309,plain,
! [X0,X1] : mult(mult(X1,ld(X0,X0)),X0) = mult(rd(X1,X0),mult(X0,X0)),
inference(superposition,[],[f18,f2291]) ).
fof(f2310,plain,
! [X0] : mult(ld(X0,X0),X0) = ld(X0,mult(X0,X0)),
inference(superposition,[],[f2,f2291]) ).
fof(f2335,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f2310,f2]) ).
fof(f2368,plain,
x1 = mult(sF0,x1),
inference(superposition,[],[f2335,f9]) ).
fof(f2374,plain,
! [X0] : ld(ld(X0,X0),X0) = X0,
inference(superposition,[],[f2,f2335]) ).
fof(f2375,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(superposition,[],[f4,f2335]) ).
fof(f2376,plain,
! [X0,X1] : mult(ld(X0,X0),mult(X0,mult(X1,X0))) = mult(mult(X0,X1),X0),
inference(superposition,[],[f5,f2335]) ).
fof(f2381,plain,
! [X0,X1] : mult(X0,mult(ld(X1,ld(X0,X0)),X0)) = ld(rd(X1,X0),X0),
inference(superposition,[],[f139,f2335]) ).
fof(f2384,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,ld(X0,X0)),X0),
inference(superposition,[],[f164,f2335]) ).
fof(f2386,plain,
! [X0] : rd(ld(X0,X0),X0) = ld(X0,ld(X0,X0)),
inference(superposition,[],[f188,f2335]) ).
fof(f2388,plain,
! [X0,X1] : ld(mult(X1,X0),X1) = ld(X0,ld(X0,X0)),
inference(superposition,[],[f203,f2335]) ).
fof(f2389,plain,
! [X0,X1] : rd(X1,X0) = mult(X1,ld(X0,ld(X0,X0))),
inference(superposition,[],[f277,f2335]) ).
fof(f2391,plain,
! [X0,X1] : mult(ld(X0,X1),ld(X1,X0)) = ld(ld(X0,X1),ld(X0,X1)),
inference(superposition,[],[f1047,f2335]) ).
fof(f2400,plain,
rd(sF0,x1) = ld(x1,ld(x1,x1)),
inference(superposition,[],[f202,f2335]) ).
fof(f2404,plain,
rd(sF0,x1) = ld(x1,sF0),
inference(forward_demodulation,[],[f2400,f9]) ).
fof(f2435,plain,
! [X2,X0] : rd(ld(X0,X2),X0) = mult(ld(X0,ld(X0,X0)),rd(X2,X0)),
inference(backward_demodulation,[],[f2252,f2386]) ).
fof(f2457,plain,
! [X2,X1] : mult(mult(X2,ld(X1,X1)),rd(ld(X1,X1),X1)) = mult(rd(X2,X1),ld(X1,X1)),
inference(backward_demodulation,[],[f1777,f2375]) ).
fof(f2482,plain,
! [X0] : mult(X0,x1) = rd(X0,ld(x1,sF0)),
inference(backward_demodulation,[],[f328,f2404]) ).
fof(f2510,plain,
! [X2,X1] : mult(rd(X2,X1),ld(X1,X1)) = mult(mult(X2,ld(X1,X1)),ld(X1,ld(X1,X1))),
inference(forward_demodulation,[],[f2457,f2386]) ).
fof(f2522,plain,
! [X0] : mult(X0,x1) = mult(X0,ld(sF0,x1)),
inference(forward_demodulation,[],[f2482,f1046]) ).
fof(f2532,plain,
! [X2,X1] : mult(rd(X2,X1),ld(X1,X1)) = rd(mult(X2,ld(X1,X1)),X1),
inference(forward_demodulation,[],[f2510,f2389]) ).
fof(f2607,plain,
ld(x1,mult(mult(x1,x1),sF0)) = mult(sF0,mult(ld(sF0,x1),sF0)),
inference(superposition,[],[f68,f2522]) ).
fof(f2608,plain,
ld(x1,mult(mult(x1,x1),sF0)) = ld(mult(sF0,sF0),x1),
inference(forward_demodulation,[],[f2607,f1663]) ).
fof(f2647,plain,
mult(sF0,mult(x1,sF0)) = ld(mult(sF0,sF0),x1),
inference(forward_demodulation,[],[f2608,f68]) ).
fof(f2681,plain,
mult(sF0,x1) = ld(mult(sF0,sF0),x1),
inference(forward_demodulation,[],[f2647,f13]) ).
fof(f2700,plain,
x1 = ld(mult(sF0,sF0),x1),
inference(forward_demodulation,[],[f2681,f2368]) ).
fof(f3104,plain,
x1 = mult(mult(sF0,sF0),x1),
inference(superposition,[],[f1,f2700]) ).
fof(f3230,plain,
mult(sF0,sF0) = rd(x1,x1),
inference(superposition,[],[f4,f3104]) ).
fof(f3257,plain,
ld(x1,x1) = mult(sF0,sF0),
inference(forward_demodulation,[],[f3230,f2375]) ).
fof(f3267,plain,
sF0 = mult(sF0,sF0),
inference(forward_demodulation,[],[f3257,f9]) ).
fof(f3270,plain,
sF0 = ld(sF0,sF0),
inference(backward_demodulation,[],[f196,f3267]) ).
fof(f3274,plain,
! [X0] : mult(sF0,mult(sF0,mult(X0,sF0))) = mult(mult(sF0,X0),sF0),
inference(backward_demodulation,[],[f1279,f3267]) ).
fof(f3275,plain,
! [X0] : mult(sF0,mult(X0,sF0)) = ld(sF0,mult(mult(sF0,X0),sF0)),
inference(backward_demodulation,[],[f1281,f3267]) ).
fof(f3279,plain,
! [X0] : ld(sF0,mult(X0,sF0)) = mult(sF0,mult(ld(sF0,X0),sF0)),
inference(backward_demodulation,[],[f1297,f3267]) ).
fof(f3280,plain,
! [X0] : mult(ld(mult(X0,sF0),sF0),sF0) = ld(sF0,ld(X0,sF0)),
inference(backward_demodulation,[],[f1298,f3267]) ).
fof(f3283,plain,
! [X0] : ld(sF0,ld(sF0,X0)) = mult(ld(sF0,mult(X0,sF0)),sF0),
inference(backward_demodulation,[],[f1897,f3267]) ).
fof(f3770,plain,
! [X0,X1] : mult(X0,rd(ld(sF0,X1),sF0)) = mult(mult(rd(X0,sF0),X1),sF0),
inference(superposition,[],[f436,f2272]) ).
fof(f3771,plain,
! [X0,X1] : mult(mult(mult(X0,sF0),X1),sF0) = mult(X0,rd(ld(sF0,X1),sF0)),
inference(forward_demodulation,[],[f3770,f436]) ).
fof(f3790,plain,
! [X0,X1] : mult(mult(mult(X0,sF0),X1),sF0) = mult(X0,mult(ld(sF0,X1),sF0)),
inference(forward_demodulation,[],[f3771,f436]) ).
fof(f3803,plain,
! [X0,X1] : mult(X0,mult(sF0,mult(X1,sF0))) = mult(X0,mult(ld(sF0,X1),sF0)),
inference(forward_demodulation,[],[f3790,f5]) ).
fof(f3812,plain,
! [X0] : ld(sF0,mult(X0,sF0)) = mult(sF0,mult(sF0,mult(X0,sF0))),
inference(backward_demodulation,[],[f3279,f3803]) ).
fof(f3813,plain,
! [X0] : ld(sF0,mult(X0,sF0)) = mult(mult(sF0,X0),sF0),
inference(forward_demodulation,[],[f3812,f3274]) ).
fof(f3814,plain,
! [X0] : ld(sF0,ld(sF0,X0)) = mult(mult(mult(sF0,X0),sF0),sF0),
inference(backward_demodulation,[],[f3283,f3813]) ).
fof(f3816,plain,
! [X0] : mult(sF0,mult(X0,sF0)) = mult(mult(sF0,mult(sF0,X0)),sF0),
inference(backward_demodulation,[],[f3275,f3813]) ).
fof(f3817,plain,
! [X0] : mult(sF0,X0) = ld(sF0,ld(sF0,X0)),
inference(forward_demodulation,[],[f3814,f437]) ).
fof(f3821,plain,
mult(sF0,sF1) = ld(sF0,x0),
inference(superposition,[],[f3817,f14]) ).
fof(f3831,plain,
! [X0] : ld(sF0,X0) = mult(sF0,mult(sF0,X0)),
inference(superposition,[],[f1,f3817]) ).
fof(f3835,plain,
! [X0,X1] : ld(ld(sF0,X0),sF0) = ld(mult(X1,mult(sF0,X0)),X1),
inference(superposition,[],[f364,f3817]) ).
fof(f3836,plain,
! [X0,X1] : mult(X1,ld(ld(sF0,X0),sF0)) = rd(X1,mult(sF0,X0)),
inference(superposition,[],[f1046,f3817]) ).
fof(f3842,plain,
! [X0] : ld(mult(mult(x1,X0),sF0),x1) = ld(ld(sF0,mult(X0,sF0)),sF0),
inference(backward_demodulation,[],[f1977,f3835]) ).
fof(f3844,plain,
! [X0] : mult(sF0,mult(X0,sF0)) = mult(ld(sF0,X0),sF0),
inference(backward_demodulation,[],[f3816,f3831]) ).
fof(f3855,plain,
! [X0] : ld(mult(mult(x1,X0),sF0),x1) = ld(mult(mult(sF0,X0),sF0),sF0),
inference(forward_demodulation,[],[f3842,f3813]) ).
fof(f3860,plain,
! [X0,X1] : rd(X1,mult(sF0,mult(X0,sF0))) = mult(X1,ld(mult(mult(sF0,X0),sF0),sF0)),
inference(backward_demodulation,[],[f1978,f3855]) ).
fof(f3871,plain,
! [X0,X1] : mult(sF0,rd(sF0,X0)) = ld(sF0,ld(mult(X1,X0),X1)),
inference(superposition,[],[f3831,f277]) ).
fof(f3874,plain,
! [X0] : mult(sF0,rd(sF0,X0)) = ld(sF0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f3831,f2389]) ).
fof(f4007,plain,
! [X0] : mult(X0,sF0) = mult(sF0,mult(mult(sF0,X0),sF0)),
inference(superposition,[],[f1,f3813]) ).
fof(f4011,plain,
! [X0,X1] : ld(mult(X0,sF0),sF0) = ld(mult(X1,mult(mult(sF0,X0),sF0)),X1),
inference(superposition,[],[f364,f3813]) ).
fof(f4055,plain,
mult(x0,sF0) = mult(sF0,mult(sF1,sF0)),
inference(superposition,[],[f4007,f11]) ).
fof(f4058,plain,
! [X0,X1] : mult(ld(mult(X1,X0),X1),sF0) = mult(sF0,mult(rd(sF0,X0),sF0)),
inference(superposition,[],[f4007,f277]) ).
fof(f4066,plain,
! [X0,X1] : mult(mult(X1,mult(sF0,X0)),sF0) = mult(rd(X1,sF0),mult(X0,sF0)),
inference(superposition,[],[f18,f4007]) ).
fof(f4071,plain,
! [X0] : mult(mult(mult(sF0,X0),sF0),mult(ld(mult(mult(sF0,X0),sF0),sF0),sF0)) = mult(mult(X0,sF0),ld(mult(mult(sF0,X0),sF0),sF0)),
inference(superposition,[],[f50,f4007]) ).
fof(f4088,plain,
! [X0] : mult(mult(mult(sF0,X0),sF0),mult(ld(mult(mult(sF0,X0),sF0),sF0),sF0)) = rd(mult(X0,sF0),mult(sF0,mult(X0,sF0))),
inference(forward_demodulation,[],[f4071,f3860]) ).
fof(f4091,plain,
! [X0,X1] : mult(mult(X1,mult(sF0,X0)),sF0) = mult(mult(X1,sF0),mult(X0,sF0)),
inference(forward_demodulation,[],[f4066,f436]) ).
fof(f4102,plain,
! [X0] : rd(mult(X0,sF0),mult(sF0,mult(X0,sF0))) = mult(mult(mult(sF0,X0),sF0),ld(sF0,ld(mult(sF0,X0),sF0))),
inference(forward_demodulation,[],[f4088,f3280]) ).
fof(f4110,plain,
! [X0] : rd(mult(X0,sF0),mult(sF0,mult(X0,sF0))) = mult(mult(mult(sF0,X0),sF0),mult(sF0,rd(sF0,X0))),
inference(forward_demodulation,[],[f4102,f3871]) ).
fof(f4122,plain,
! [X0] : mult(X0,ld(x0,sF0)) = rd(X0,mult(sF0,sF1)),
inference(superposition,[],[f1046,f3821]) ).
fof(f4471,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = mult(mult(rd(X0,X1),ld(X1,X1)),X1),
inference(superposition,[],[f3,f2532]) ).
fof(f4494,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = mult(rd(rd(X0,X1),X1),mult(X1,X1)),
inference(forward_demodulation,[],[f4471,f2309]) ).
fof(f4942,plain,
! [X0,X1] : rd(rd(X0,X1),X1) = rd(mult(X0,ld(X1,X1)),mult(X1,X1)),
inference(superposition,[],[f4,f4494]) ).
fof(f5039,plain,
! [X0] : rd(rd(X0,X0),X0) = rd(X0,mult(X0,X0)),
inference(superposition,[],[f4942,f1]) ).
fof(f5046,plain,
! [X0] : rd(rd(mult(X0,X0),X0),X0) = rd(mult(X0,mult(ld(X0,X0),X0)),mult(X0,X0)),
inference(superposition,[],[f4942,f50]) ).
fof(f5079,plain,
! [X0] : rd(rd(mult(X0,X0),X0),X0) = rd(mult(X0,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f5046,f2335]) ).
fof(f5086,plain,
! [X0] : rd(ld(X0,X0),X0) = rd(X0,mult(X0,X0)),
inference(forward_demodulation,[],[f5039,f2375]) ).
fof(f5096,plain,
! [X0] : ld(mult(X0,X0),mult(X0,X0)) = rd(rd(mult(X0,X0),X0),X0),
inference(forward_demodulation,[],[f5079,f2375]) ).
fof(f5103,plain,
! [X0] : ld(X0,ld(X0,X0)) = rd(X0,mult(X0,X0)),
inference(forward_demodulation,[],[f5086,f2386]) ).
fof(f5112,plain,
! [X0] : rd(X0,X0) = ld(mult(X0,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f5096,f4]) ).
fof(f5128,plain,
! [X0] : ld(X0,X0) = ld(mult(X0,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f5112,f2375]) ).
fof(f5174,plain,
! [X0] : mult(ld(X0,ld(X0,X0)),mult(X0,X0)) = X0,
inference(superposition,[],[f3,f5103]) ).
fof(f5175,plain,
! [X0] : mult(X0,X0) = ld(ld(X0,ld(X0,X0)),X0),
inference(superposition,[],[f15,f5103]) ).
fof(f5207,plain,
! [X0,X1] : mult(X1,X1) = ld(ld(mult(X0,X1),X0),X1),
inference(superposition,[],[f5175,f2388]) ).
fof(f5246,plain,
! [X0,X1] : mult(ld(mult(X0,X1),X0),mult(X1,X1)) = X1,
inference(superposition,[],[f5174,f2388]) ).
fof(f5336,plain,
! [X0] : mult(X0,mult(ld(X0,X0),X0)) = ld(X0,mult(mult(X0,X0),X0)),
inference(superposition,[],[f116,f5128]) ).
fof(f5376,plain,
! [X0] : mult(X0,X0) = ld(X0,mult(mult(X0,X0),X0)),
inference(forward_demodulation,[],[f5336,f2335]) ).
fof(f5416,plain,
! [X0,X1] : mult(ld(mult(X0,X1),X0),ld(mult(X0,X1),X0)) = ld(ld(mult(X0,X1),X0),rd(mult(ld(mult(X0,X1),X0),ld(mult(X0,X1),X0)),X1)),
inference(superposition,[],[f5376,f277]) ).
fof(f5422,plain,
! [X0] : mult(X0,mult(X0,X0)) = mult(mult(X0,X0),X0),
inference(superposition,[],[f1,f5376]) ).
fof(f5461,plain,
! [X0,X1] : rd(ld(mult(X0,X1),X0),X1) = ld(ld(mult(X0,X1),X0),rd(rd(ld(mult(X0,X1),X0),X1),X1)),
inference(forward_demodulation,[],[f5416,f277]) ).
fof(f5555,plain,
! [X0,X1] : rd(mult(ld(mult(X0,X1),X0),ld(mult(X0,X1),X0)),X1) = mult(ld(mult(X0,X1),X0),mult(ld(mult(X0,X1),X0),ld(mult(X0,X1),X0))),
inference(superposition,[],[f277,f5422]) ).
fof(f5568,plain,
! [X0,X1] : rd(mult(ld(mult(X0,X1),X0),ld(mult(X0,X1),X0)),X1) = ld(mult(X0,X1),mult(rd(X0,X1),ld(mult(X0,X1),X0))),
inference(forward_demodulation,[],[f5555,f1433]) ).
fof(f5600,plain,
! [X0,X1] : ld(mult(X0,X1),rd(rd(X0,X1),X1)) = rd(mult(ld(mult(X0,X1),X0),ld(mult(X0,X1),X0)),X1),
inference(forward_demodulation,[],[f5568,f277]) ).
fof(f5620,plain,
! [X0,X1] : ld(mult(X0,X1),rd(rd(X0,X1),X1)) = rd(rd(ld(mult(X0,X1),X0),X1),X1),
inference(forward_demodulation,[],[f5600,f277]) ).
fof(f5633,plain,
! [X0,X1] : rd(ld(mult(X0,X1),X0),X1) = ld(ld(mult(X0,X1),X0),ld(mult(X0,X1),rd(rd(X0,X1),X1))),
inference(backward_demodulation,[],[f5461,f5620]) ).
fof(f5644,plain,
! [X0,X1] : rd(ld(mult(X0,X1),X0),X1) = rd(ld(rd(mult(X0,X1),X1),rd(X0,X1)),X1),
inference(forward_demodulation,[],[f5633,f1497]) ).
fof(f5651,plain,
! [X0,X1] : rd(ld(mult(X0,X1),X0),X1) = rd(ld(X0,rd(X0,X1)),X1),
inference(forward_demodulation,[],[f5644,f4]) ).
fof(f5880,plain,
! [X2,X0,X1] : mult(ld(mult(X2,X1),X2),ld(mult(X2,X1),X2)) = ld(ld(rd(X0,X1),X0),ld(mult(X2,X1),X2)),
inference(superposition,[],[f5207,f277]) ).
fof(f5926,plain,
! [X2,X0,X1] : rd(X1,mult(X0,X0)) = mult(X1,ld(X0,ld(mult(X2,X0),X2))),
inference(superposition,[],[f1046,f5207]) ).
fof(f5958,plain,
! [X2,X1] : mult(ld(mult(X2,X1),X2),ld(mult(X2,X1),X2)) = ld(X1,ld(mult(X2,X1),X2)),
inference(forward_demodulation,[],[f5880,f15]) ).
fof(f5973,plain,
! [X2,X1] : rd(ld(mult(X2,X1),X2),X1) = ld(X1,ld(mult(X2,X1),X2)),
inference(forward_demodulation,[],[f5958,f277]) ).
fof(f5982,plain,
! [X0,X1] : rd(ld(X0,rd(X0,X1)),X1) = ld(X1,ld(mult(X0,X1),X0)),
inference(backward_demodulation,[],[f5651,f5973]) ).
fof(f6035,plain,
! [X0,X1] : ld(X1,rd(X1,X0)) = mult(ld(X0,ld(mult(X1,X0),X1)),X0),
inference(superposition,[],[f3,f5982]) ).
fof(f6609,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X1,ld(mult(X0,X1),X0))),X1) = mult(rd(X2,X1),mult(X1,ld(X0,rd(X0,X1)))),
inference(superposition,[],[f18,f6035]) ).
fof(f6628,plain,
! [X2,X0,X1] : mult(mult(X2,ld(ld(X1,X2),ld(mult(X0,ld(X1,X2)),X0))),ld(X1,X2)) = mult(X1,mult(ld(X1,X2),ld(X0,rd(X0,ld(X1,X2))))),
inference(superposition,[],[f16,f6035]) ).
fof(f6650,plain,
! [X2,X0,X1] : mult(mult(X2,ld(ld(X1,X2),ld(mult(X0,ld(X1,X2)),X0))),ld(X1,X2)) = mult(X1,rd(ld(X1,X2),ld(X1,X2))),
inference(forward_demodulation,[],[f6628,f518]) ).
fof(f6660,plain,
! [X2,X0,X1] : mult(rd(X2,X1),rd(X1,X1)) = mult(mult(X2,ld(X1,ld(mult(X0,X1),X0))),X1),
inference(forward_demodulation,[],[f6609,f518]) ).
fof(f6715,plain,
! [X2,X0,X1] : mult(mult(X2,ld(ld(X1,X2),ld(mult(X0,ld(X1,X2)),X0))),ld(X1,X2)) = mult(X1,mult(ld(X1,X2),ld(X2,X1))),
inference(forward_demodulation,[],[f6650,f1046]) ).
fof(f6719,plain,
! [X2,X1] : mult(rd(X2,X1),rd(X1,X1)) = mult(rd(X2,mult(X1,X1)),X1),
inference(forward_demodulation,[],[f6660,f5926]) ).
fof(f6762,plain,
! [X2,X1] : mult(X1,mult(ld(X1,X2),ld(X2,X1))) = mult(rd(X2,mult(ld(X1,X2),ld(X1,X2))),ld(X1,X2)),
inference(forward_demodulation,[],[f6715,f5926]) ).
fof(f6765,plain,
! [X2,X1] : mult(rd(X2,X1),ld(X1,X1)) = mult(rd(X2,mult(X1,X1)),X1),
inference(forward_demodulation,[],[f6719,f2375]) ).
fof(f6802,plain,
! [X2,X1] : mult(X1,mult(ld(X1,X2),ld(X2,X1))) = mult(rd(X2,ld(X1,X2)),ld(ld(X1,X2),ld(X1,X2))),
inference(backward_demodulation,[],[f6762,f6765]) ).
fof(f6831,plain,
! [X2,X1] : mult(X1,mult(ld(X1,X2),ld(X2,X1))) = mult(rd(X2,ld(X1,X2)),mult(ld(X2,X1),ld(X1,X2))),
inference(forward_demodulation,[],[f6802,f176]) ).
fof(f6851,plain,
! [X2,X1] : mult(X1,mult(ld(X1,X2),ld(X2,X1))) = mult(mult(X2,ld(X2,X1)),mult(ld(X2,X1),ld(X1,X2))),
inference(forward_demodulation,[],[f6831,f1046]) ).
fof(f6862,plain,
! [X2,X1] : mult(X1,mult(ld(X1,X2),ld(X2,X1))) = mult(X1,mult(ld(X2,X1),ld(X1,X2))),
inference(forward_demodulation,[],[f6851,f1]) ).
fof(f9055,plain,
! [X2,X3,X0,X1] : rd(ld(ld(X2,X1),X0),ld(X2,X1)) = mult(ld(mult(X3,ld(X2,X1)),X3),mult(X0,ld(X1,X2))),
inference(superposition,[],[f2251,f1046]) ).
fof(f9119,plain,
! [X2,X0,X1] : rd(ld(ld(X2,X1),X0),ld(X2,X1)) = mult(ld(X1,X2),mult(X0,ld(X1,X2))),
inference(forward_demodulation,[],[f9055,f364]) ).
fof(f9172,plain,
! [X2,X0,X1] : mult(ld(X1,X2),mult(X0,ld(X1,X2))) = mult(ld(ld(X2,X1),X0),ld(X1,X2)),
inference(forward_demodulation,[],[f9119,f1046]) ).
fof(f14868,plain,
! [X0,X1] : mult(ld(X1,ld(X1,X1)),X0) = rd(ld(X1,mult(X0,X1)),X1),
inference(superposition,[],[f2435,f4]) ).
fof(f15062,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = mult(mult(ld(X0,ld(X0,X0)),X1),X0),
inference(superposition,[],[f3,f14868]) ).
fof(f15337,plain,
! [X0,X1] : ld(ld(sF0,mult(X1,sF0)),sF0) = ld(mult(mult(X0,X1),sF0),rd(X0,sF0)),
inference(superposition,[],[f3835,f18]) ).
fof(f15414,plain,
! [X0,X1] : ld(ld(sF0,mult(X1,sF0)),sF0) = ld(mult(mult(X0,X1),sF0),mult(X0,sF0)),
inference(forward_demodulation,[],[f15337,f436]) ).
fof(f15454,plain,
! [X0,X1] : mult(sF0,mult(ld(mult(X0,X1),X0),sF0)) = ld(ld(sF0,mult(X1,sF0)),sF0),
inference(forward_demodulation,[],[f15414,f485]) ).
fof(f15472,plain,
! [X0,X1] : mult(sF0,mult(ld(mult(X0,X1),X0),sF0)) = ld(mult(mult(sF0,X1),sF0),sF0),
inference(forward_demodulation,[],[f15454,f3813]) ).
fof(f15482,plain,
! [X1] : ld(mult(mult(sF0,X1),sF0),sF0) = mult(sF0,mult(sF0,mult(rd(sF0,X1),sF0))),
inference(forward_demodulation,[],[f15472,f4058]) ).
fof(f15487,plain,
! [X1] : ld(mult(mult(sF0,X1),sF0),sF0) = ld(sF0,mult(rd(sF0,X1),sF0)),
inference(forward_demodulation,[],[f15482,f3831]) ).
fof(f15491,plain,
! [X1] : ld(mult(mult(sF0,X1),sF0),sF0) = mult(mult(sF0,rd(sF0,X1)),sF0),
inference(forward_demodulation,[],[f15487,f3813]) ).
fof(f15996,plain,
! [X2,X0,X1] : rd(rd(X0,X1),X2) = rd(mult(X0,X2),mult(X2,mult(X1,X2))),
inference(superposition,[],[f1725,f3]) ).
fof(f16195,plain,
! [X0] : mult(mult(mult(sF0,X0),sF0),mult(sF0,rd(sF0,X0))) = rd(rd(X0,X0),sF0),
inference(backward_demodulation,[],[f4110,f15996]) ).
fof(f16288,plain,
! [X0] : mult(mult(mult(sF0,X0),sF0),mult(sF0,rd(sF0,X0))) = mult(rd(X0,X0),sF0),
inference(forward_demodulation,[],[f16195,f436]) ).
fof(f16360,plain,
! [X0] : mult(mult(mult(sF0,X0),sF0),mult(sF0,rd(sF0,X0))) = mult(ld(X0,X0),sF0),
inference(forward_demodulation,[],[f16288,f2375]) ).
fof(f18358,plain,
mult(mult(sF0,sF1),sF0) = mult(sF0,mult(x0,sF0)),
inference(superposition,[],[f3844,f3821]) ).
fof(f18393,plain,
! [X0,X1] : mult(sF0,mult(ld(X1,ld(sF0,X0)),sF0)) = ld(rd(X1,sF0),mult(sF0,mult(X0,sF0))),
inference(superposition,[],[f139,f3844]) ).
fof(f18450,plain,
! [X0,X1] : mult(sF0,mult(ld(X1,ld(sF0,X0)),sF0)) = ld(mult(X1,sF0),mult(sF0,mult(X0,sF0))),
inference(forward_demodulation,[],[f18393,f436]) ).
fof(f19095,plain,
! [X0,X1] : mult(ld(X0,X1),ld(X1,X0)) = mult(ld(ld(X0,X1),mult(ld(X0,X1),ld(X1,X0))),ld(X0,X1)),
inference(superposition,[],[f2384,f2391]) ).
fof(f19158,plain,
! [X0,X1] : mult(ld(X0,X1),ld(X1,X0)) = mult(ld(X1,X0),ld(X0,X1)),
inference(forward_demodulation,[],[f19095,f2]) ).
fof(f19450,plain,
! [X2,X0,X1] : ld(mult(X0,mult(X1,mult(X2,X1))),mult(mult(X0,X1),mult(X2,mult(X1,X2)))) = X2,
inference(superposition,[],[f22,f5]) ).
fof(f20746,plain,
! [X2,X0,X1] : rd(rd(X1,X2),ld(X1,X0)) = rd(X0,mult(ld(X1,X0),mult(X2,ld(X1,X0)))),
inference(superposition,[],[f15996,f1]) ).
fof(f21006,plain,
! [X2,X0,X1] : rd(rd(X1,X2),ld(X1,X0)) = mult(X0,ld(mult(mult(X0,X2),ld(X1,X0)),X1)),
inference(forward_demodulation,[],[f20746,f1092]) ).
fof(f21092,plain,
! [X2,X0,X1] : mult(rd(X1,X2),ld(X0,X1)) = mult(X0,ld(mult(mult(X0,X2),ld(X1,X0)),X1)),
inference(forward_demodulation,[],[f21006,f1046]) ).
fof(f22969,plain,
! [X0] : mult(mult(X0,sF0),rd(x0,sF0)) = rd(mult(X0,sF1),sF0),
inference(superposition,[],[f31,f11]) ).
fof(f23030,plain,
! [X2,X3,X0,X1] : mult(mult(X0,mult(ld(X1,X2),X3)),ld(X2,X1)) = mult(mult(X0,ld(X1,X2)),rd(X3,ld(X1,X2))),
inference(superposition,[],[f1046,f31]) ).
fof(f23041,plain,
! [X2,X3,X0,X1] : mult(mult(X0,ld(X1,X2)),mult(X3,ld(X2,X1))) = mult(mult(X0,mult(ld(X1,X2),X3)),ld(X2,X1)),
inference(forward_demodulation,[],[f23030,f1046]) ).
fof(f23081,plain,
! [X0] : mult(mult(X0,sF0),rd(x0,sF0)) = mult(mult(X0,sF1),sF0),
inference(forward_demodulation,[],[f22969,f436]) ).
fof(f23140,plain,
! [X0] : mult(mult(X0,sF1),sF0) = mult(mult(X0,sF0),mult(x0,sF0)),
inference(forward_demodulation,[],[f23081,f436]) ).
fof(f23336,plain,
! [X0,X1] : rd(X1,mult(x0,sF0)) = mult(X1,ld(mult(mult(X0,sF1),sF0),mult(X0,sF0))),
inference(superposition,[],[f277,f23140]) ).
fof(f23383,plain,
! [X0,X1] : rd(X1,mult(x0,sF0)) = mult(X1,mult(sF0,mult(ld(mult(X0,sF1),X0),sF0))),
inference(forward_demodulation,[],[f23336,f485]) ).
fof(f23446,plain,
! [X1] : rd(X1,mult(x0,sF0)) = mult(rd(mult(X1,sF0),sF1),sF0),
inference(forward_demodulation,[],[f23383,f1449]) ).
fof(f24694,plain,
! [X2,X0,X1] : mult(ld(mult(X2,ld(X0,X1)),ld(X1,X0)),ld(X0,X1)) = ld(ld(X0,X1),ld(X2,mult(ld(X0,X1),ld(X1,X0)))),
inference(superposition,[],[f148,f19158]) ).
fof(f31257,plain,
! [X2,X0,X1] : mult(rd(X1,ld(X2,X0)),ld(X2,X1)) = mult(X2,ld(mult(X0,ld(X1,X2)),X1)),
inference(superposition,[],[f21092,f1]) ).
fof(f31682,plain,
! [X2,X0,X1] : mult(X2,ld(mult(X0,ld(X1,X2)),X1)) = mult(mult(X1,ld(X0,X2)),ld(X2,X1)),
inference(forward_demodulation,[],[f31257,f1046]) ).
fof(f34216,plain,
! [X0] : mult(sF0,ld(mult(X0,sF0),sF0)) = mult(mult(sF0,ld(X0,sF0)),sF0),
inference(superposition,[],[f31682,f3270]) ).
fof(f47092,plain,
! [X0] : mult(ld(ld(ld(sF0,X0),sF0),ld(ld(sF0,X0),sF0)),sF0) = mult(mult(rd(sF0,mult(sF0,X0)),sF0),mult(sF0,rd(sF0,ld(ld(sF0,X0),sF0)))),
inference(superposition,[],[f16360,f3836]) ).
fof(f47115,plain,
! [X0] : mult(mult(sF0,X0),mult(sF0,mult(mult(sF0,rd(sF0,X0)),sF0))) = mult(mult(ld(X0,X0),sF0),sF0),
inference(superposition,[],[f5,f16360]) ).
fof(f47204,plain,
! [X0] : ld(X0,X0) = mult(mult(sF0,X0),mult(sF0,mult(mult(sF0,rd(sF0,X0)),sF0))),
inference(forward_demodulation,[],[f47115,f437]) ).
fof(f47227,plain,
! [X0] : mult(ld(ld(ld(sF0,X0),sF0),ld(ld(sF0,X0),sF0)),sF0) = mult(mult(rd(sF0,mult(sF0,X0)),sF0),mult(sF0,mult(sF0,ld(sF0,ld(sF0,X0))))),
inference(forward_demodulation,[],[f47092,f1046]) ).
fof(f47263,plain,
! [X0] : ld(X0,X0) = mult(mult(sF0,X0),mult(rd(sF0,X0),sF0)),
inference(forward_demodulation,[],[f47204,f4007]) ).
fof(f47284,plain,
! [X0] : mult(ld(ld(ld(sF0,X0),sF0),ld(ld(sF0,X0),sF0)),sF0) = mult(mult(rd(sF0,mult(sF0,X0)),sF0),ld(sF0,ld(sF0,ld(sF0,X0)))),
inference(forward_demodulation,[],[f47227,f3831]) ).
fof(f47337,plain,
! [X0] : mult(ld(ld(ld(sF0,X0),sF0),ld(ld(sF0,X0),sF0)),sF0) = mult(mult(rd(sF0,mult(sF0,X0)),sF0),mult(sF0,ld(sF0,X0))),
inference(forward_demodulation,[],[f47284,f3817]) ).
fof(f47375,plain,
! [X0] : mult(ld(ld(ld(sF0,X0),sF0),ld(ld(sF0,X0),sF0)),sF0) = mult(mult(rd(sF0,mult(sF0,X0)),sF0),X0),
inference(forward_demodulation,[],[f47337,f1]) ).
fof(f47405,plain,
! [X0] : mult(mult(rd(sF0,mult(sF0,X0)),sF0),X0) = mult(mult(ld(sF0,ld(sF0,X0)),ld(ld(sF0,X0),sF0)),sF0),
inference(forward_demodulation,[],[f47375,f176]) ).
fof(f47432,plain,
! [X0] : mult(mult(rd(sF0,mult(sF0,X0)),sF0),X0) = mult(rd(ld(sF0,ld(sF0,X0)),mult(sF0,X0)),sF0),
inference(forward_demodulation,[],[f47405,f3836]) ).
fof(f47453,plain,
! [X0] : mult(mult(rd(sF0,mult(sF0,X0)),sF0),X0) = mult(rd(mult(sF0,X0),mult(sF0,X0)),sF0),
inference(forward_demodulation,[],[f47432,f3817]) ).
fof(f47469,plain,
! [X0] : mult(ld(mult(sF0,X0),mult(sF0,X0)),sF0) = mult(mult(rd(sF0,mult(sF0,X0)),sF0),X0),
inference(forward_demodulation,[],[f47453,f2375]) ).
fof(f47514,plain,
! [X0,X1] : ld(ld(X1,rd(X1,X0)),ld(X1,rd(X1,X0))) = mult(rd(sF0,X0),mult(rd(sF0,ld(X1,rd(X1,X0))),sF0)),
inference(superposition,[],[f47263,f518]) ).
fof(f47515,plain,
ld(ld(sF1,sF0),ld(sF1,sF0)) = mult(rd(sF0,x0),mult(rd(sF0,ld(sF1,sF0)),sF0)),
inference(superposition,[],[f47263,f1409]) ).
fof(f47536,plain,
! [X0] : mult(ld(X0,X0),X0) = mult(sF0,mult(X0,mult(mult(rd(sF0,X0),sF0),X0))),
inference(superposition,[],[f5,f47263]) ).
fof(f47538,plain,
! [X0] : mult(rd(sF0,X0),sF0) = ld(mult(sF0,X0),ld(X0,X0)),
inference(superposition,[],[f2,f47263]) ).
fof(f47617,plain,
! [X0] : mult(sF0,mult(X0,mult(mult(rd(sF0,X0),sF0),X0))) = X0,
inference(forward_demodulation,[],[f47536,f2335]) ).
fof(f47638,plain,
ld(ld(sF1,sF0),ld(sF1,sF0)) = mult(rd(sF0,x0),mult(mult(sF0,ld(sF0,sF1)),sF0)),
inference(forward_demodulation,[],[f47515,f1046]) ).
fof(f47639,plain,
! [X0,X1] : ld(ld(X1,rd(X1,X0)),ld(X1,rd(X1,X0))) = mult(rd(sF0,X0),mult(mult(sF0,ld(rd(X1,X0),X1)),sF0)),
inference(forward_demodulation,[],[f47514,f1046]) ).
fof(f47677,plain,
ld(ld(sF1,sF0),ld(sF1,sF0)) = mult(rd(sF0,x0),mult(sF1,sF0)),
inference(forward_demodulation,[],[f47638,f1]) ).
fof(f47678,plain,
! [X0,X1] : ld(ld(X1,rd(X1,X0)),ld(X1,rd(X1,X0))) = mult(rd(sF0,X0),mult(mult(sF0,X0),sF0)),
inference(forward_demodulation,[],[f47639,f15]) ).
fof(f47709,plain,
mult(ld(sF0,sF1),ld(sF1,sF0)) = mult(rd(sF0,x0),mult(sF1,sF0)),
inference(forward_demodulation,[],[f47677,f176]) ).
fof(f47710,plain,
! [X0,X1] : mult(ld(rd(X1,X0),X1),ld(X1,rd(X1,X0))) = mult(rd(sF0,X0),mult(mult(sF0,X0),sF0)),
inference(forward_demodulation,[],[f47678,f176]) ).
fof(f47730,plain,
rd(ld(sF0,sF1),x0) = mult(rd(sF0,x0),mult(sF1,sF0)),
inference(forward_demodulation,[],[f47709,f1409]) ).
fof(f47731,plain,
! [X0,X1] : mult(ld(X1,rd(X1,X0)),ld(rd(X1,X0),X1)) = mult(rd(sF0,X0),mult(mult(sF0,X0),sF0)),
inference(forward_demodulation,[],[f47710,f19158]) ).
fof(f47746,plain,
rd(x0,x0) = mult(rd(sF0,x0),mult(sF1,sF0)),
inference(forward_demodulation,[],[f47730,f14]) ).
fof(f47747,plain,
! [X0,X1] : mult(ld(X1,rd(X1,X0)),X0) = mult(rd(sF0,X0),mult(mult(sF0,X0),sF0)),
inference(forward_demodulation,[],[f47731,f15]) ).
fof(f47762,plain,
ld(x0,x0) = mult(rd(sF0,x0),mult(sF1,sF0)),
inference(forward_demodulation,[],[f47746,f2375]) ).
fof(f47763,plain,
! [X0] : ld(X0,X0) = mult(rd(sF0,X0),mult(mult(sF0,X0),sF0)),
inference(forward_demodulation,[],[f47747,f182]) ).
fof(f48035,plain,
! [X0,X1] : ld(mult(X1,mult(mult(sF0,X0),sF0)),X1) = ld(ld(X0,X0),rd(sF0,X0)),
inference(superposition,[],[f203,f47763]) ).
fof(f48092,plain,
! [X0] : ld(mult(X0,sF0),sF0) = ld(ld(X0,X0),rd(sF0,X0)),
inference(forward_demodulation,[],[f48035,f4011]) ).
fof(f48859,plain,
! [X0] : rd(X0,mult(sF1,sF0)) = mult(X0,ld(ld(x0,x0),rd(sF0,x0))),
inference(superposition,[],[f277,f47762]) ).
fof(f48914,plain,
! [X0] : rd(X0,mult(sF1,sF0)) = mult(X0,ld(mult(x0,sF0),sF0)),
inference(forward_demodulation,[],[f48859,f48092]) ).
fof(f51662,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X0,ld(X1,X1))),X1) = mult(rd(X2,X1),ld(rd(X0,X1),X1)),
inference(superposition,[],[f18,f2381]) ).
fof(f52192,plain,
! [X0] : ld(sF0,X0) = mult(X0,mult(mult(rd(sF0,X0),sF0),X0)),
inference(superposition,[],[f2,f47617]) ).
fof(f52602,plain,
! [X0] : mult(mult(rd(sF0,X0),sF0),X0) = ld(X0,ld(sF0,X0)),
inference(superposition,[],[f2,f52192]) ).
fof(f52656,plain,
! [X0] : ld(X0,mult(mult(mult(rd(sF0,ld(X0,ld(X0,X0))),sF0),ld(X0,ld(X0,X0))),X0)) = mult(ld(sF0,ld(X0,ld(X0,X0))),X0),
inference(superposition,[],[f15062,f52192]) ).
fof(f52693,plain,
! [X0] : mult(mult(sF0,rd(sF0,X0)),X0) = ld(X0,mult(mult(mult(rd(sF0,ld(X0,ld(X0,X0))),sF0),ld(X0,ld(X0,X0))),X0)),
inference(forward_demodulation,[],[f52656,f3874]) ).
fof(f52796,plain,
! [X0] : mult(mult(sF0,rd(sF0,X0)),X0) = ld(X0,mult(rd(mult(rd(sF0,ld(X0,ld(X0,X0))),sF0),X0),ld(rd(X0,X0),X0))),
inference(forward_demodulation,[],[f52693,f51662]) ).
fof(f52865,plain,
! [X0] : mult(mult(sF0,rd(sF0,X0)),X0) = ld(X0,mult(rd(mult(rd(sF0,ld(X0,ld(X0,X0))),sF0),X0),X0)),
inference(forward_demodulation,[],[f52796,f15]) ).
fof(f52918,plain,
! [X0] : mult(mult(sF0,rd(sF0,X0)),X0) = ld(X0,mult(rd(sF0,ld(X0,ld(X0,X0))),sF0)),
inference(forward_demodulation,[],[f52865,f3]) ).
fof(f52958,plain,
! [X0] : mult(mult(sF0,rd(sF0,X0)),X0) = ld(X0,mult(mult(sF0,ld(ld(X0,X0),X0)),sF0)),
inference(forward_demodulation,[],[f52918,f1046]) ).
fof(f52988,plain,
! [X0] : mult(mult(sF0,rd(sF0,X0)),X0) = ld(X0,mult(mult(sF0,X0),sF0)),
inference(forward_demodulation,[],[f52958,f2374]) ).
fof(f53010,plain,
! [X0] : mult(rd(sF0,X0),mult(X0,sF0)) = ld(X0,mult(mult(sF0,X0),sF0)),
inference(forward_demodulation,[],[f52988,f1717]) ).
fof(f53086,plain,
! [X0] : mult(rd(sF0,X0),mult(sF0,mult(X0,sF0))) = mult(ld(X0,ld(sF0,X0)),sF0),
inference(superposition,[],[f5,f52602]) ).
fof(f53088,plain,
mult(mult(rd(sF0,mult(x0,sF0)),sF1),sF0) = ld(mult(x0,sF0),ld(sF0,mult(x0,sF0))),
inference(superposition,[],[f23140,f52602]) ).
fof(f53269,plain,
mult(mult(rd(sF0,mult(x0,sF0)),sF1),sF0) = ld(mult(x0,sF0),mult(mult(sF0,x0),sF0)),
inference(forward_demodulation,[],[f53088,f3813]) ).
fof(f53333,plain,
mult(mult(rd(sF0,mult(x0,sF0)),sF1),sF0) = mult(sF0,mult(ld(x0,mult(sF0,x0)),sF0)),
inference(forward_demodulation,[],[f53269,f485]) ).
fof(f53383,plain,
mult(mult(rd(sF0,mult(x0,sF0)),sF1),sF0) = mult(sF0,mult(ld(x0,sF1),sF0)),
inference(forward_demodulation,[],[f53333,f11]) ).
fof(f53896,plain,
mult(rd(sF0,mult(sF1,sF0)),mult(mult(sF1,sF0),sF0)) = ld(mult(sF1,sF0),mult(mult(x0,sF0),sF0)),
inference(superposition,[],[f53010,f4055]) ).
fof(f54015,plain,
mult(rd(sF0,mult(sF1,sF0)),mult(mult(sF1,sF0),sF0)) = mult(sF0,mult(ld(sF1,mult(x0,sF0)),sF0)),
inference(forward_demodulation,[],[f53896,f485]) ).
fof(f54059,plain,
mult(rd(sF0,mult(sF1,sF0)),mult(mult(sF1,sF0),sF0)) = ld(mult(sF1,sF0),x0),
inference(forward_demodulation,[],[f54015,f1664]) ).
fof(f54095,plain,
ld(mult(sF1,sF0),x0) = mult(rd(sF0,mult(sF1,sF0)),sF1),
inference(forward_demodulation,[],[f54059,f437]) ).
fof(f116561,plain,
mult(rd(sF0,sF1),sF0) = rd(sF0,mult(x0,sF0)),
inference(superposition,[],[f23446,f3267]) ).
fof(f116691,plain,
mult(sF0,mult(ld(x0,sF1),sF0)) = mult(mult(mult(rd(sF0,sF1),sF0),sF1),sF0),
inference(backward_demodulation,[],[f53383,f116561]) ).
fof(f116776,plain,
mult(sF0,mult(ld(x0,sF1),sF0)) = mult(rd(sF0,sF1),mult(sF0,mult(sF1,sF0))),
inference(forward_demodulation,[],[f116691,f5]) ).
fof(f116819,plain,
mult(sF0,mult(ld(x0,sF1),sF0)) = mult(ld(sF1,ld(sF0,sF1)),sF0),
inference(forward_demodulation,[],[f116776,f53086]) ).
fof(f116838,plain,
mult(ld(sF1,x0),sF0) = mult(sF0,mult(ld(x0,sF1),sF0)),
inference(forward_demodulation,[],[f116819,f14]) ).
fof(f116859,plain,
! [X0] : ld(ld(sF0,mult(ld(x0,sF1),sF0)),sF0) = ld(mult(X0,mult(ld(sF1,x0),sF0)),X0),
inference(superposition,[],[f3835,f116838]) ).
fof(f116861,plain,
mult(mult(ld(x0,sF1),sF0),sF0) = mult(sF0,mult(mult(ld(sF1,x0),sF0),sF0)),
inference(superposition,[],[f4007,f116838]) ).
fof(f116863,plain,
mult(rd(sF0,mult(ld(x0,sF1),sF0)),sF0) = ld(mult(ld(sF1,x0),sF0),ld(mult(ld(x0,sF1),sF0),mult(ld(x0,sF1),sF0))),
inference(superposition,[],[f47538,f116838]) ).
fof(f116867,plain,
! [X0] : mult(mult(X0,ld(x0,sF1)),sF0) = mult(rd(X0,sF0),mult(ld(sF1,x0),sF0)),
inference(superposition,[],[f18,f116838]) ).
fof(f116868,plain,
! [X0] : mult(mult(X0,sF0),mult(ld(x0,sF1),mult(sF0,ld(x0,sF1)))) = mult(mult(X0,mult(ld(sF1,x0),sF0)),ld(x0,sF1)),
inference(superposition,[],[f20,f116838]) ).
fof(f116870,plain,
mult(mult(sF0,ld(x0,sF1)),sF0) = mult(ld(sF0,sF0),mult(ld(sF1,x0),sF0)),
inference(superposition,[],[f2376,f116838]) ).
fof(f116872,plain,
! [X0] : ld(x0,sF1) = ld(mult(X0,mult(ld(sF1,x0),sF0)),mult(mult(X0,sF0),mult(ld(x0,sF1),mult(sF0,ld(x0,sF1))))),
inference(superposition,[],[f19450,f116838]) ).
fof(f116883,plain,
! [X0] : mult(mult(X0,sF0),mult(ld(x0,sF1),sF0)) = mult(rd(X0,mult(ld(x0,sF1),sF0)),mult(mult(ld(x0,sF1),sF0),mult(ld(sF1,x0),sF0))),
inference(superposition,[],[f18,f116838]) ).
fof(f116973,plain,
mult(sF0,mult(ld(sF1,x0),sF0)) = mult(mult(sF0,ld(x0,sF1)),sF0),
inference(forward_demodulation,[],[f116870,f3270]) ).
fof(f116974,plain,
! [X0] : mult(mult(X0,sF0),mult(ld(x0,sF1),mult(sF0,ld(x0,sF1)))) = mult(mult(X0,ld(sF1,x0)),mult(sF0,ld(x0,sF1))),
inference(forward_demodulation,[],[f116868,f23041]) ).
fof(f116975,plain,
! [X0] : mult(mult(X0,ld(x0,sF1)),sF0) = mult(mult(X0,sF0),mult(ld(sF1,x0),sF0)),
inference(forward_demodulation,[],[f116867,f436]) ).
fof(f116978,plain,
mult(rd(sF0,mult(ld(x0,sF1),sF0)),sF0) = ld(mult(ld(sF1,x0),sF0),mult(sF0,mult(ld(ld(x0,sF1),ld(x0,sF1)),sF0))),
inference(forward_demodulation,[],[f116863,f485]) ).
fof(f116980,plain,
mult(mult(ld(x0,sF1),sF0),sF0) = mult(sF0,ld(sF1,x0)),
inference(forward_demodulation,[],[f116861,f437]) ).
fof(f116982,plain,
! [X0] : ld(mult(X0,mult(ld(sF1,x0),sF0)),X0) = ld(mult(mult(sF0,ld(x0,sF1)),sF0),sF0),
inference(forward_demodulation,[],[f116859,f3813]) ).
fof(f117010,plain,
! [X0] : ld(x0,sF1) = ld(mult(X0,mult(ld(sF1,x0),sF0)),mult(mult(X0,ld(sF1,x0)),mult(sF0,ld(x0,sF1)))),
inference(backward_demodulation,[],[f116872,f116974]) ).
fof(f117011,plain,
! [X0] : mult(mult(X0,sF0),mult(ld(x0,sF1),sF0)) = mult(rd(X0,mult(ld(x0,sF1),sF0)),mult(mult(ld(x0,sF1),ld(x0,sF1)),sF0)),
inference(backward_demodulation,[],[f116883,f116975]) ).
fof(f117022,plain,
mult(rd(sF0,mult(ld(x0,sF1),sF0)),sF0) = mult(sF0,mult(ld(ld(sF1,x0),ld(sF0,ld(ld(x0,sF1),ld(x0,sF1)))),sF0)),
inference(forward_demodulation,[],[f116978,f18450]) ).
fof(f117024,plain,
ld(x0,sF1) = mult(sF0,ld(sF1,x0)),
inference(forward_demodulation,[],[f116980,f437]) ).
fof(f117026,plain,
! [X0] : ld(mult(X0,mult(ld(sF1,x0),sF0)),X0) = mult(mult(sF0,rd(sF0,ld(x0,sF1))),sF0),
inference(forward_demodulation,[],[f116982,f15491]) ).
fof(f117052,plain,
mult(rd(sF0,mult(ld(x0,sF1),sF0)),sF0) = mult(sF0,mult(ld(ld(sF1,x0),ld(sF0,mult(ld(sF1,x0),ld(x0,sF1)))),sF0)),
inference(forward_demodulation,[],[f117022,f176]) ).
fof(f117056,plain,
! [X0] : ld(mult(X0,mult(ld(sF1,x0),sF0)),X0) = mult(mult(sF0,mult(sF0,ld(sF1,x0))),sF0),
inference(forward_demodulation,[],[f117026,f1046]) ).
fof(f117072,plain,
mult(rd(sF0,mult(ld(x0,sF1),sF0)),sF0) = mult(sF0,mult(mult(ld(mult(sF0,ld(sF1,x0)),ld(x0,sF1)),ld(sF1,x0)),sF0)),
inference(forward_demodulation,[],[f117052,f24694]) ).
fof(f117075,plain,
! [X0] : ld(mult(X0,mult(ld(sF1,x0),sF0)),X0) = mult(mult(sF0,sF0),mult(ld(sF1,x0),sF0)),
inference(forward_demodulation,[],[f117056,f4091]) ).
fof(f117084,plain,
mult(rd(sF0,mult(ld(x0,sF1),sF0)),sF0) = mult(sF0,mult(mult(ld(ld(x0,sF1),ld(x0,sF1)),ld(sF1,x0)),sF0)),
inference(forward_demodulation,[],[f117072,f117024]) ).
fof(f117087,plain,
! [X0] : ld(mult(X0,mult(ld(sF1,x0),sF0)),X0) = mult(mult(sF0,ld(x0,sF1)),sF0),
inference(forward_demodulation,[],[f117075,f116975]) ).
fof(f117092,plain,
mult(rd(sF0,mult(ld(x0,sF1),sF0)),sF0) = mult(sF0,mult(mult(ld(sF1,x0),mult(ld(x0,sF1),ld(sF1,x0))),sF0)),
inference(forward_demodulation,[],[f117084,f9172]) ).
fof(f117095,plain,
! [X0] : mult(sF0,mult(ld(sF1,x0),sF0)) = ld(mult(X0,mult(ld(sF1,x0),sF0)),X0),
inference(forward_demodulation,[],[f117087,f116973]) ).
fof(f117099,plain,
mult(rd(sF0,mult(ld(x0,sF1),sF0)),sF0) = mult(sF0,mult(ld(sF1,mult(sF1,ld(sF1,x0))),sF0)),
inference(forward_demodulation,[],[f117092,f62]) ).
fof(f117103,plain,
mult(sF0,mult(ld(sF1,x0),sF0)) = mult(rd(sF0,mult(ld(x0,sF1),sF0)),sF0),
inference(forward_demodulation,[],[f117099,f2]) ).
fof(f117123,plain,
mult(rd(sF0,ld(sF1,x0)),sF0) = ld(ld(x0,sF1),ld(ld(sF1,x0),ld(sF1,x0))),
inference(superposition,[],[f47538,f117024]) ).
fof(f117126,plain,
mult(mult(x0,sF0),ld(sF1,x0)) = mult(sF1,mult(ld(sF1,x0),ld(x0,sF1))),
inference(superposition,[],[f16,f117024]) ).
fof(f117128,plain,
sF0 = mult(ld(x0,sF1),ld(x0,sF1)),
inference(superposition,[],[f1047,f117024]) ).
fof(f117145,plain,
! [X0] : ld(sF0,mult(X0,ld(sF1,x0))) = mult(ld(sF1,x0),mult(ld(ld(x0,sF1),X0),ld(sF1,x0))),
inference(superposition,[],[f116,f117024]) ).
fof(f117159,plain,
! [X0] : rd(mult(sF0,X0),ld(sF1,x0)) = mult(ld(x0,sF1),rd(ld(ld(sF1,x0),X0),ld(sF1,x0))),
inference(superposition,[],[f2279,f117024]) ).
fof(f117212,plain,
! [X0] : rd(mult(sF0,X0),ld(sF1,x0)) = mult(ld(x0,sF1),mult(ld(ld(sF1,x0),X0),ld(x0,sF1))),
inference(forward_demodulation,[],[f117159,f1046]) ).
fof(f117225,plain,
! [X0] : ld(sF0,mult(X0,ld(sF1,x0))) = mult(ld(sF1,x0),mult(ld(sF1,x0),mult(X0,ld(sF1,x0)))),
inference(forward_demodulation,[],[f117145,f9172]) ).
fof(f117238,plain,
! [X0] : mult(mult(X0,sF0),mult(ld(x0,sF1),sF0)) = mult(rd(X0,mult(ld(x0,sF1),sF0)),mult(sF0,sF0)),
inference(backward_demodulation,[],[f117011,f117128]) ).
fof(f117249,plain,
mult(mult(x0,sF0),ld(sF1,x0)) = mult(sF1,mult(ld(x0,sF1),ld(sF1,x0))),
inference(forward_demodulation,[],[f117126,f6862]) ).
fof(f117252,plain,
mult(rd(sF0,ld(sF1,x0)),sF0) = ld(ld(x0,sF1),mult(ld(x0,sF1),ld(sF1,x0))),
inference(forward_demodulation,[],[f117123,f176]) ).
fof(f117280,plain,
! [X0] : rd(mult(sF0,X0),ld(sF1,x0)) = mult(ld(x0,sF1),mult(ld(x0,sF1),mult(X0,ld(x0,sF1)))),
inference(forward_demodulation,[],[f117212,f9172]) ).
fof(f117298,plain,
! [X0] : mult(mult(X0,sF0),mult(ld(x0,sF1),sF0)) = mult(rd(X0,mult(ld(x0,sF1),sF0)),sF0),
inference(forward_demodulation,[],[f117238,f3267]) ).
fof(f117301,plain,
ld(sF1,x0) = mult(rd(sF0,ld(sF1,x0)),sF0),
inference(forward_demodulation,[],[f117252,f2]) ).
fof(f117325,plain,
! [X0] : mult(mult(sF0,X0),ld(x0,sF1)) = mult(ld(x0,sF1),mult(ld(x0,sF1),mult(X0,ld(x0,sF1)))),
inference(forward_demodulation,[],[f117280,f1046]) ).
fof(f117335,plain,
mult(sF0,mult(ld(sF1,x0),sF0)) = mult(mult(sF0,sF0),mult(ld(x0,sF1),sF0)),
inference(backward_demodulation,[],[f117103,f117298]) ).
fof(f117337,plain,
ld(sF1,x0) = mult(mult(sF0,ld(x0,sF1)),sF0),
inference(forward_demodulation,[],[f117301,f1046]) ).
fof(f117362,plain,
mult(sF0,mult(ld(sF1,x0),sF0)) = mult(sF0,mult(ld(x0,sF1),sF0)),
inference(forward_demodulation,[],[f117335,f3267]) ).
fof(f117364,plain,
ld(sF1,x0) = mult(sF0,mult(ld(sF1,x0),sF0)),
inference(backward_demodulation,[],[f116973,f117337]) ).
fof(f117381,plain,
mult(ld(sF1,x0),sF0) = mult(sF0,mult(ld(sF1,x0),sF0)),
inference(forward_demodulation,[],[f117362,f116838]) ).
fof(f117392,plain,
! [X0] : ld(sF1,x0) = ld(mult(X0,mult(ld(sF1,x0),sF0)),X0),
inference(backward_demodulation,[],[f117095,f117364]) ).
fof(f117409,plain,
ld(sF1,x0) = mult(ld(sF1,x0),sF0),
inference(forward_demodulation,[],[f117381,f117364]) ).
fof(f117456,plain,
! [X0] : ld(x0,sF1) = ld(mult(X0,ld(sF1,x0)),mult(mult(X0,ld(sF1,x0)),mult(sF0,ld(x0,sF1)))),
inference(backward_demodulation,[],[f117010,f117409]) ).
fof(f117464,plain,
! [X0] : ld(sF1,x0) = ld(mult(X0,ld(sF1,x0)),X0),
inference(backward_demodulation,[],[f117392,f117409]) ).
fof(f117491,plain,
ld(x0,sF1) = ld(sF1,x0),
inference(forward_demodulation,[],[f117464,f364]) ).
fof(f117501,plain,
ld(x0,sF1) = mult(sF0,ld(x0,sF1)),
inference(forward_demodulation,[],[f117456,f2]) ).
fof(f117563,plain,
! [X0] : mult(ld(x0,sF1),mult(ld(x0,sF1),mult(X0,ld(x0,sF1)))) = ld(sF0,mult(X0,ld(x0,sF1))),
inference(backward_demodulation,[],[f117225,f117491]) ).
fof(f117567,plain,
mult(mult(x0,sF0),ld(x0,sF1)) = mult(sF1,mult(ld(x0,sF1),ld(x0,sF1))),
inference(backward_demodulation,[],[f117249,f117491]) ).
fof(f117646,plain,
mult(sF1,sF0) = mult(mult(x0,sF0),ld(x0,sF1)),
inference(forward_demodulation,[],[f117567,f117128]) ).
fof(f117649,plain,
! [X0] : mult(mult(sF0,X0),ld(x0,sF1)) = ld(sF0,mult(X0,ld(x0,sF1))),
inference(forward_demodulation,[],[f117563,f117325]) ).
fof(f117816,plain,
x0 = mult(sF1,ld(x0,sF1)),
inference(superposition,[],[f1,f117491]) ).
fof(f118108,plain,
mult(x0,mult(ld(x0,sF1),ld(x0,sF1))) = mult(mult(sF1,sF0),ld(x0,sF1)),
inference(superposition,[],[f16,f117501]) ).
fof(f118226,plain,
mult(x0,sF0) = mult(mult(sF1,sF0),ld(x0,sF1)),
inference(forward_demodulation,[],[f118108,f117128]) ).
fof(f124806,plain,
ld(sF0,mult(sF1,sF0)) = mult(mult(sF0,mult(x0,sF0)),ld(x0,sF1)),
inference(superposition,[],[f117649,f117646]) ).
fof(f124826,plain,
ld(sF0,x0) = mult(mult(sF0,sF1),ld(x0,sF1)),
inference(superposition,[],[f117649,f117816]) ).
fof(f124913,plain,
mult(sF0,sF1) = mult(mult(sF0,sF1),ld(x0,sF1)),
inference(forward_demodulation,[],[f124826,f3821]) ).
fof(f124931,plain,
mult(mult(sF0,sF1),sF0) = mult(mult(sF0,mult(x0,sF0)),ld(x0,sF1)),
inference(forward_demodulation,[],[f124806,f3813]) ).
fof(f124983,plain,
mult(sF0,mult(x0,sF0)) = mult(mult(sF0,mult(x0,sF0)),ld(x0,sF1)),
inference(forward_demodulation,[],[f124931,f18358]) ).
fof(f126893,plain,
ld(x0,sF1) = mult(ld(mult(sF0,sF1),mult(sF0,sF1)),mult(ld(x0,sF1),ld(x0,sF1))),
inference(superposition,[],[f5246,f124913]) ).
fof(f126938,plain,
ld(x0,sF1) = mult(ld(mult(sF0,sF1),mult(sF0,sF1)),sF0),
inference(forward_demodulation,[],[f126893,f117128]) ).
fof(f126999,plain,
ld(x0,sF1) = mult(mult(rd(sF0,mult(sF0,sF1)),sF0),sF1),
inference(forward_demodulation,[],[f126938,f47469]) ).
fof(f127049,plain,
ld(x0,sF1) = mult(mult(mult(sF0,ld(x0,sF0)),sF0),sF1),
inference(forward_demodulation,[],[f126999,f4122]) ).
fof(f127085,plain,
ld(x0,sF1) = mult(mult(sF0,ld(mult(x0,sF0),sF0)),sF1),
inference(forward_demodulation,[],[f127049,f34216]) ).
fof(f127113,plain,
ld(x0,sF1) = mult(rd(sF0,mult(sF1,sF0)),sF1),
inference(forward_demodulation,[],[f127085,f48914]) ).
fof(f127133,plain,
ld(x0,sF1) = ld(mult(sF1,sF0),x0),
inference(backward_demodulation,[],[f54095,f127113]) ).
fof(f127178,plain,
x0 = mult(mult(sF1,sF0),ld(x0,sF1)),
inference(superposition,[],[f1,f127133]) ).
fof(f127250,plain,
x0 = mult(x0,sF0),
inference(backward_demodulation,[],[f118226,f127178]) ).
fof(f127638,plain,
mult(sF0,x0) = mult(mult(sF0,x0),ld(x0,sF1)),
inference(backward_demodulation,[],[f124983,f127250]) ).
fof(f127678,plain,
sF1 = mult(sF1,ld(x0,sF1)),
inference(forward_demodulation,[],[f127638,f11]) ).
fof(f128082,plain,
x0 = sF1,
inference(forward_demodulation,[],[f127678,f117816]) ).
fof(f128566,plain,
$false,
inference(forward_subsumption_resolution,[],[f128082,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP655-14 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n003.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 10:33:41 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 72.54/11.12 % (318027)Detected a unit-equality problem, will run specialized UEQ schedule.
% 72.54/11.12 % (318036)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2839290597:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 72.54/11.12 % (318032)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=3197896268:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 72.54/11.12 % (318037)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1806335570:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 72.54/11.12 % (318034)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3869707334:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 72.54/11.12 % (318033)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=292192842:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 72.54/11.12 % (318035)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3047559155:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 72.54/11.12 % (318038)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4022199772:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 72.54/11.12 % (318036)Instruction limit reached!
% 72.54/11.12 % (318036)------------------------------
% 72.54/11.12 % (318036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.54/11.12 % (318036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.54/11.12 % (318036)CaDiCaL version: 2.1.3
% 72.54/11.12 % (318036)Termination reason: Instruction limit
% 72.54/11.12 % (318036)Termination phase: Saturation
% 72.54/11.12 % (318036)Time elapsed: 0.057 s
% 72.54/11.12 % (318036)Peak memory usage: 89 MB
% 72.54/11.12 % (318036)Instructions burned: 182 (million)
% 72.54/11.12 % (318035)Instruction limit reached!
% 72.54/11.12 % (318035)------------------------------
% 72.54/11.12 % (318035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.54/11.12 % (318035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.54/11.12 % (318035)CaDiCaL version: 2.1.3
% 72.54/11.12 % (318035)Termination reason: Instruction limit
% 72.54/11.12 % (318035)Termination phase: Saturation
% 72.54/11.12 % (318035)Time elapsed: 0.077 s
% 72.54/11.12 % (318035)Peak memory usage: 88 MB
% 72.54/11.12 % (318035)Instructions burned: 137 (million)
% 72.54/11.12 % (318046)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1564950759:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 72.54/11.12 % (318037)Instruction limit reached!
% 72.54/11.12 % (318037)------------------------------
% 72.54/11.12 % (318037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.54/11.12 % (318037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.54/11.12 % (318037)CaDiCaL version: 2.1.3
% 72.54/11.12 % (318037)Termination reason: Instruction limit
% 72.54/11.12 % (318037)Termination phase: Saturation
% 72.54/11.12 % (318037)Time elapsed: 0.153 s
% 72.54/11.12 % (318037)Peak memory usage: 90 MB
% 72.54/11.12 % (318037)Instructions burned: 257 (million)
% 72.54/11.12 % (318047)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3795997001:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 72.54/11.12 % (318049)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3914827220:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 72.54/11.12 % (318049)Instruction limit reached!
% 72.54/11.12 % (318049)------------------------------
% 72.54/11.12 % (318049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.54/11.12 % (318049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.54/11.12 % (318049)CaDiCaL version: 2.1.3
% 72.54/11.12 % (318049)Termination reason: Instruction limit
% 72.54/11.12 % (318049)Termination phase: Saturation
% 72.54/11.12 % (318049)Time elapsed: 0.113 s
% 72.54/11.12 % (318049)Peak memory usage: 90 MB
% 72.54/11.12 % (318049)Instructions burned: 216 (million)
% 72.54/11.12 % (318052)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=1137788456:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 72.54/11.12 % (318052)Instruction limit reached!
% 72.54/11.12 % (318052)------------------------------
% 72.54/11.12 % (318052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.54/11.12 % (318052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.54/11.12 % (318052)CaDiCaL version: 2.1.3
% 72.54/11.12 % (318052)Termination reason: Instruction limit
% 72.54/11.12 % (318052)Termination phase: Saturation
% 72.54/11.12 % (318052)Time elapsed: 0.103 s
% 72.54/11.12 % (318052)Peak memory usage: 93 MB
% 72.54/11.12 % (318052)Instructions burned: 321 (million)
% 72.54/11.12 % (318038)Instruction limit reached!
% 72.54/11.12 % (318038)------------------------------
% 72.54/11.12 % (318038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.54/11.12 % (318038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.54/11.12 % (318038)CaDiCaL version: 2.1.3
% 72.54/11.12 % (318038)Termination reason: Instruction limit
% 72.54/11.12 % (318038)Termination phase: Saturation
% 72.54/11.12 % (318038)Time elapsed: 0.662 s
% 72.54/11.12 % (318038)Peak memory usage: 101 MB
% 72.54/11.12 % (318038)Instructions burned: 1187 (million)
% 72.54/11.12 % (318054)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=2660417953:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 72.54/11.12 % (318055)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2904440615:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 72.54/11.12 % (318046)Instruction limit reached!
% 72.54/11.12 % (318046)------------------------------
% 72.54/11.12 % (318046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.54/11.12 % (318046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.54/11.12 % (318046)CaDiCaL version: 2.1.3
% 72.54/11.12 % (318046)Termination reason: Instruction limit
% 72.54/11.12 % (318046)Termination phase: Saturation
% 72.54/11.12 % (318046)Time elapsed: 1.078 s
% 72.54/11.12 % (318046)Peak memory usage: 141 MB
% 72.54/11.12 % (318046)Instructions burned: 2051 (million)
% 72.54/11.12 % (318058)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1952593071:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2986 on theBenchmark for (2986ds/14534Mi)
% 72.54/11.12 % (318055)Instruction limit reached!
% 72.54/11.12 % (318055)------------------------------
% 72.54/11.12 % (318055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.54/11.12 % (318055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.54/11.12 % (318055)CaDiCaL version: 2.1.3
% 72.54/11.12 % (318055)Termination reason: Instruction limit
% 72.54/11.12 % (318055)Termination phase: Saturation
% 72.54/11.12 % (318055)Time elapsed: 1.914 s
% 72.54/11.12 % (318055)Peak memory usage: 129 MB
% 72.54/11.12 % (318055)Instructions burned: 2836 (million)
% 72.54/11.12 % (318060)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=400473932:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2971 on theBenchmark for (2971ds/11832Mi)
% 72.54/11.12 % (318047)Instruction limit reached!
% 72.54/11.12 % (318047)------------------------------
% 72.54/11.12 % (318047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.54/11.12 % (318047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.54/11.12 % (318047)CaDiCaL version: 2.1.3
% 72.54/11.12 % (318047)Termination reason: Instruction limit
% 72.54/11.12 % (318047)Termination phase: Saturation
% 72.54/11.12 % (318047)Time elapsed: 2.975 s
% 72.54/11.12 % (318047)Peak memory usage: 165 MB
% 72.54/11.12 % (318047)Instructions burned: 4949 (million)
% 72.54/11.12 % (318062)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=474780306:i=2279:fgj=on:bd=all_2966 on theBenchmark for (2966ds/2279Mi)
% 72.54/11.12 % (318062)Instruction limit reached!
% 72.54/11.12 % (318062)------------------------------
% 72.54/11.12 % (318062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.54/11.12 % (318062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.54/11.12 % (318062)CaDiCaL version: 2.1.3
% 72.54/11.12 % (318062)Termination reason: Instruction limit
% 72.54/11.12 % (318062)Termination phase: Saturation
% 72.54/11.12 % (318062)Time elapsed: 1.374 s
% 72.54/11.12 % (318062)Peak memory usage: 139 MB
% 72.54/11.12 % (318062)Instructions burned: 2281 (million)
% 72.54/11.12 % (318054)Instruction limit reached!
% 72.54/11.12 % (318054)------------------------------
% 72.54/11.12 % (318054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.54/11.12 % (318054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.54/11.12 % (318054)CaDiCaL version: 2.1.3
% 72.54/11.12 % (318054)Termination reason: Instruction limit
% 72.54/11.12 % (318054)Termination phase: Saturation
% 72.54/11.12 % (318054)Time elapsed: 4.093 s
% 72.54/11.12 % (318054)Peak memory usage: 229 MB
% 72.54/11.12 % (318054)Instructions burned: 12126 (million)
% 72.54/11.12 % (318064)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=3323656310:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2951 on theBenchmark for (2951ds/6225Mi)
% 72.54/11.12 % (318065)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=1099163480:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2950 on theBenchmark for (2950ds/21755Mi)
% 72.54/11.12 % (318064)Instruction limit reached!
% 72.54/11.12 % (318064)------------------------------
% 72.54/11.12 % (318064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.54/11.12 % (318064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.54/11.12 % (318064)CaDiCaL version: 2.1.3
% 72.54/11.12 % (318064)Termination reason: Instruction limit
% 72.54/11.12 % (318064)Termination phase: Saturation
% 72.54/11.12 % (318064)Time elapsed: 3.764 s
% 72.54/11.12 % (318064)Peak memory usage: 161 MB
% 72.54/11.12 % (318064)Instructions burned: 6732 (million)
% 72.54/11.12 % (318068)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=3336058241:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2912 on theBenchmark for (2912ds/16427Mi)
% 72.54/11.12 % (318034)First to succeed.
% 72.54/11.12 % (318034)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-318027"
% 72.54/11.12 % (318034)Refutation found. Thanks to Tanya!
% 72.54/11.12 % SZS status Unsatisfiable for theBenchmark
% 72.54/11.12 % SZS output start Proof for theBenchmark
% See solution above
% 73.36/11.32 % (318034)------------------------------
% 73.36/11.32 % (318034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.36/11.32 % (318034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.36/11.32 % (318034)CaDiCaL version: 2.1.3
% 73.36/11.32 % (318034)Termination reason: Refutation
% 73.36/11.32 % (318034)Time elapsed: 9.809 s
% 73.36/11.32 % (318034)Peak memory usage: 247 MB
% 73.36/11.32 % (318034)Instructions burned: 15290 (million)
% 73.36/11.32 % (318034)------------------------------
% 73.36/11.32 % (318034)------------------------------
% 73.36/11.32 % (318027)Success in time 10.253 s
% 73.36/11.32 % Vampire exiting
%------------------------------------------------------------------------------