%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP655-13 : 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 : n009.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 97.09s 21.97s
% Output : Refutation 114.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 93
% Number of leaves : 8
% Syntax : Number of formulae : 337 ( 337 unt; 2 def)
% Number of atoms : 337 ( 336 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 511 ( 511 !; 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(x0,ld(x1,x1)) != x0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f7,plain,
x0 != mult(x0,ld(x1,x1)),
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(x0,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f11,plain,
mult(x0,sF0) = 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,
sF0 = ld(x0,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(f17,plain,
! [X2,X3,X0,X1] : mult(mult(mult(X0,X1),X2),mult(X1,mult(X3,X1))) = mult(mult(mult(X0,mult(X1,mult(X2,X1))),X3),X1),
inference(superposition,[],[f5,f5]) ).
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(f21,plain,
! [X2,X0,X1] : mult(X0,X2) = mult(X1,mult(X2,mult(ld(mult(X1,X2),X0),X2))),
inference(superposition,[],[f5,f1]) ).
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(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(f184,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,[],[f184,f9]) ).
fof(f202,plain,
! [X0,X1] : ld(X0,rd(X0,X1)) = rd(ld(X1,X1),X1),
inference(superposition,[],[f188,f3]) ).
fof(f203,plain,
! [X0] : ld(mult(X0,x1),X0) = rd(sF0,x1),
inference(superposition,[],[f188,f9]) ).
fof(f204,plain,
! [X2,X0,X1] : ld(mult(X0,X1),X0) = ld(mult(X2,X1),X2),
inference(superposition,[],[f188,f188]) ).
fof(f208,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(f210,plain,
! [X0,X1] : mult(X1,X0) = rd(X1,rd(ld(X0,X0),X0)),
inference(superposition,[],[f23,f188]) ).
fof(f211,plain,
! [X0,X1] : mult(mult(X1,X0),rd(ld(X0,X0),X0)) = X1,
inference(superposition,[],[f1,f188]) ).
fof(f227,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,rd(ld(X1,X1),X1)),
inference(superposition,[],[f211,f3]) ).
fof(f228,plain,
x0 = mult(sF1,rd(ld(sF0,sF0),sF0)),
inference(superposition,[],[f211,f11]) ).
fof(f249,plain,
x0 = mult(sF1,rd(mult(sF0,sF0),sF0)),
inference(forward_demodulation,[],[f228,f196]) ).
fof(f253,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,[],[f208,f227]) ).
fof(f267,plain,
x0 = mult(sF1,sF0),
inference(forward_demodulation,[],[f249,f4]) ).
fof(f269,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,[],[f253,f227]) ).
fof(f283,plain,
! [X0] : ld(sF1,mult(X0,sF0)) = mult(sF0,mult(ld(x0,X0),sF0)),
inference(superposition,[],[f116,f267]) ).
fof(f290,plain,
! [X2,X0,X1] : rd(X2,X1) = mult(X2,ld(mult(X0,X1),X0)),
inference(superposition,[],[f227,f188]) ).
fof(f305,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,f227]) ).
fof(f309,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,[],[f305,f227]) ).
fof(f322,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = mult(ld(mult(X0,X1),X0),rd(X1,X1)),
inference(backward_demodulation,[],[f74,f290]) ).
fof(f326,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,[],[f309,f227]) ).
fof(f341,plain,
! [X0] : mult(X0,x1) = rd(X0,rd(sF0,x1)),
inference(superposition,[],[f210,f9]) ).
fof(f378,plain,
! [X2,X0,X1] : ld(X0,X2) = ld(mult(X1,ld(X2,X0)),X1),
inference(superposition,[],[f204,f1]) ).
fof(f385,plain,
! [X2,X0,X1] : ld(mult(X1,X2),X1) = ld(X0,rd(X0,X2)),
inference(superposition,[],[f204,f3]) ).
fof(f388,plain,
! [X0] : ld(x0,sF1) = ld(mult(X0,sF0),X0),
inference(superposition,[],[f204,f267]) ).
fof(f405,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,f204]) ).
fof(f413,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,[],[f405,f290]) ).
fof(f422,plain,
! [X0] : sF0 = ld(mult(X0,sF0),X0),
inference(forward_demodulation,[],[f388,f14]) ).
fof(f433,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,[],[f413,f290]) ).
fof(f455,plain,
! [X2,X0,X1] : rd(X2,X1) = mult(X2,ld(X0,rd(X0,X1))),
inference(superposition,[],[f227,f202]) ).
fof(f490,plain,
! [X0] : ld(x0,sF1) = ld(X0,rd(X0,sF0)),
inference(superposition,[],[f385,f267]) ).
fof(f531,plain,
! [X0] : sF0 = ld(X0,rd(X0,sF0)),
inference(forward_demodulation,[],[f490,f14]) ).
fof(f558,plain,
! [X0] : mult(X0,sF0) = rd(X0,sF0),
inference(superposition,[],[f1,f531]) ).
fof(f592,plain,
! [X0] : mult(mult(X0,sF0),sF0) = X0,
inference(superposition,[],[f4,f558]) ).
fof(f622,plain,
! [X0,X1] : mult(mult(X0,sF0),mult(sF0,mult(X1,sF0))) = mult(mult(X0,X1),sF0),
inference(superposition,[],[f5,f592]) ).
fof(f625,plain,
! [X0,X1] : ld(mult(X0,sF0),mult(X1,sF0)) = mult(sF0,mult(ld(X0,X1),sF0)),
inference(superposition,[],[f116,f592]) ).
fof(f712,plain,
! [X0] : ld(mult(X0,sF0),X0) = mult(ld(mult(X0,sF0),X0),mult(sF0,sF0)),
inference(superposition,[],[f322,f558]) ).
fof(f724,plain,
! [X2,X0,X1] : ld(ld(mult(X0,X1),X0),ld(mult(X0,X1),X0)) = ld(X2,rd(X2,rd(X1,X1))),
inference(superposition,[],[f385,f322]) ).
fof(f725,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,[],[f724,f176]) ).
fof(f732,plain,
sF0 = mult(sF0,mult(sF0,sF0)),
inference(forward_demodulation,[],[f712,f422]) ).
fof(f744,plain,
! [X2,X0,X1] : ld(X2,rd(X2,rd(X1,X1))) = rd(ld(X0,mult(X0,X1)),X1),
inference(forward_demodulation,[],[f725,f290]) ).
fof(f758,plain,
! [X2,X1] : rd(X1,X1) = ld(X2,rd(X2,rd(X1,X1))),
inference(forward_demodulation,[],[f744,f2]) ).
fof(f781,plain,
! [X0,X1] : mult(X1,rd(X0,X0)) = rd(X1,rd(X0,X0)),
inference(superposition,[],[f1,f758]) ).
fof(f805,plain,
! [X0] : rd(X0,mult(sF0,sF0)) = mult(X0,mult(sF0,sF0)),
inference(superposition,[],[f781,f558]) ).
fof(f1073,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X0)) = rd(X2,ld(X0,X1)),
inference(superposition,[],[f23,f378]) ).
fof(f1074,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X1,X0)),ld(X0,X1)) = X2,
inference(superposition,[],[f1,f378]) ).
fof(f1119,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,[],[f1073,f55]) ).
fof(f1236,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,f1074]) ).
fof(f1357,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(f1359,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(f1375,plain,
! [X0] : ld(sF0,mult(X0,mult(sF0,sF0))) = mult(mult(sF0,sF0),mult(ld(sF0,X0),mult(sF0,sF0))),
inference(superposition,[],[f116,f732]) ).
fof(f1376,plain,
! [X0] : mult(ld(mult(X0,mult(sF0,sF0)),sF0),mult(sF0,sF0)) = ld(mult(sF0,sF0),ld(X0,sF0)),
inference(superposition,[],[f148,f732]) ).
fof(f1533,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,f290]) ).
fof(f1652,plain,
! [X0] : mult(sF0,mult(ld(X0,x0),sF0)) = ld(rd(X0,sF0),sF1),
inference(superposition,[],[f139,f11]) ).
fof(f1653,plain,
! [X0] : mult(sF0,mult(ld(X0,x1),sF0)) = ld(rd(X0,sF0),x1),
inference(superposition,[],[f139,f13]) ).
fof(f1679,plain,
! [X0] : ld(mult(X0,sF0),x1) = mult(sF0,mult(ld(X0,x1),sF0)),
inference(forward_demodulation,[],[f1653,f558]) ).
fof(f1680,plain,
! [X0] : ld(mult(X0,sF0),sF1) = mult(sF0,mult(ld(X0,x0),sF0)),
inference(forward_demodulation,[],[f1652,f558]) ).
fof(f1721,plain,
! [X0,X1] : ld(mult(mult(x1,X0),sF0),x1) = ld(mult(X1,mult(sF0,mult(X0,sF0))),X1),
inference(superposition,[],[f378,f68]) ).
fof(f1722,plain,
! [X0,X1] : mult(X1,ld(mult(mult(x1,X0),sF0),x1)) = rd(X1,mult(sF0,mult(X0,sF0))),
inference(superposition,[],[f1073,f68]) ).
fof(f1746,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,f322]) ).
fof(f1750,plain,
! [X0,X1] : mult(mult(X1,mult(X0,sF0)),sF0) = mult(rd(X1,sF0),mult(sF0,X0)),
inference(superposition,[],[f18,f592]) ).
fof(f1751,plain,
! [X2,X0,X1] : mult(mult(X1,rd(X0,X2)),X2) = mult(rd(X1,X2),mult(X2,X0)),
inference(superposition,[],[f18,f3]) ).
fof(f1753,plain,
! [X0] : mult(mult(X0,x0),sF0) = mult(rd(X0,sF0),mult(sF0,sF1)),
inference(superposition,[],[f18,f11]) ).
fof(f1758,plain,
! [X2,X3,X0,X1] : mult(mult(X3,ld(mult(X0,X2),X1)),X2) = mult(rd(X3,X2),ld(X0,mult(X1,X2))),
inference(superposition,[],[f18,f116]) ).
fof(f1762,plain,
! [X2,X0,X1] : rd(X0,X2) = rd(mult(mult(X0,X1),X2),mult(X2,mult(X1,X2))),
inference(superposition,[],[f4,f18]) ).
fof(f1786,plain,
! [X0] : mult(mult(X0,x0),sF0) = mult(mult(X0,sF0),mult(sF0,sF1)),
inference(forward_demodulation,[],[f1753,f558]) ).
fof(f1787,plain,
! [X0,X1] : mult(mult(X1,mult(X0,sF0)),sF0) = mult(mult(X1,sF0),mult(sF0,X0)),
inference(forward_demodulation,[],[f1750,f558]) ).
fof(f1790,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,[],[f1746,f290]) ).
fof(f1807,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,[],[f1790,f781]) ).
fof(f1816,plain,
! [X2,X1] : mult(mult(X2,rd(X1,X1)),rd(rd(X1,X1),X1)) = mult(rd(X2,X1),rd(X1,X1)),
inference(forward_demodulation,[],[f1807,f290]) ).
fof(f1840,plain,
! [X0] : ld(mult(sF0,sF0),ld(sF0,X0)) = mult(ld(sF0,rd(X0,mult(sF0,sF0))),mult(sF0,sF0)),
inference(superposition,[],[f161,f732]) ).
fof(f1868,plain,
! [X2,X0,X1] : ld(mult(X1,X0),rd(X2,X0)) = rd(ld(X0,ld(X1,X2)),X0),
inference(superposition,[],[f4,f161]) ).
fof(f1931,plain,
! [X0] : ld(mult(sF0,sF0),ld(sF0,X0)) = mult(ld(sF0,mult(X0,mult(sF0,sF0))),mult(sF0,sF0)),
inference(forward_demodulation,[],[f1840,f805]) ).
fof(f2149,plain,
! [X2,X0,X1] : ld(mult(X1,X2),rd(mult(X1,X0),X2)) = rd(ld(X2,X0),X2),
inference(superposition,[],[f1868,f2]) ).
fof(f2167,plain,
! [X0] : ld(mult(sF0,X0),rd(sF0,X0)) = rd(ld(X0,mult(sF0,sF0)),X0),
inference(superposition,[],[f1868,f196]) ).
fof(f2170,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,[],[f1868,f187]) ).
fof(f2223,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,[],[f2170,f1073]) ).
fof(f2231,plain,
! [X3,X0,X1] : mult(ld(mult(X0,X1),X0),rd(X3,X1)) = rd(ld(X1,X3),X1),
inference(backward_demodulation,[],[f433,f2149]) ).
fof(f2232,plain,
! [X2,X0] : mult(rd(ld(X0,X0),X0),rd(X2,X0)) = rd(ld(X0,X2),X0),
inference(backward_demodulation,[],[f269,f2149]) ).
fof(f2250,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,[],[f2223,f1236]) ).
fof(f2252,plain,
! [X2,X0,X1] : rd(mult(rd(X0,X1),X2),X1) = mult(X0,rd(ld(X1,X2),X1)),
inference(backward_demodulation,[],[f326,f2232]) ).
fof(f2271,plain,
! [X0] : mult(X0,mult(ld(X0,X0),X0)) = mult(X0,X0),
inference(forward_demodulation,[],[f2250,f2]) ).
fof(f2287,plain,
! [X0,X1] : mult(mult(X1,ld(X0,X0)),X0) = mult(rd(X1,X0),mult(X0,X0)),
inference(superposition,[],[f18,f2271]) ).
fof(f2288,plain,
! [X0] : mult(ld(X0,X0),X0) = ld(X0,mult(X0,X0)),
inference(superposition,[],[f2,f2271]) ).
fof(f2313,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f2288,f2]) ).
fof(f2343,plain,
x1 = mult(sF0,x1),
inference(superposition,[],[f2313,f9]) ).
fof(f2348,plain,
! [X0] : ld(ld(X0,X0),X0) = X0,
inference(superposition,[],[f2,f2313]) ).
fof(f2349,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(superposition,[],[f4,f2313]) ).
fof(f2355,plain,
! [X0,X1] : mult(X0,mult(ld(X1,ld(X0,X0)),X0)) = ld(rd(X1,X0),X0),
inference(superposition,[],[f139,f2313]) ).
fof(f2358,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,ld(X0,X0)),X0),
inference(superposition,[],[f164,f2313]) ).
fof(f2360,plain,
! [X0] : rd(ld(X0,X0),X0) = ld(X0,ld(X0,X0)),
inference(superposition,[],[f188,f2313]) ).
fof(f2363,plain,
! [X0,X1] : rd(X1,X0) = mult(X1,ld(X0,ld(X0,X0))),
inference(superposition,[],[f290,f2313]) ).
fof(f2365,plain,
! [X0,X1] : mult(ld(X0,X1),ld(X1,X0)) = ld(ld(X0,X1),ld(X0,X1)),
inference(superposition,[],[f1074,f2313]) ).
fof(f2373,plain,
rd(sF0,x1) = ld(x1,ld(x1,x1)),
inference(superposition,[],[f203,f2313]) ).
fof(f2377,plain,
rd(sF0,x1) = ld(x1,sF0),
inference(forward_demodulation,[],[f2373,f9]) ).
fof(f2406,plain,
! [X2,X0] : rd(ld(X0,X2),X0) = mult(ld(X0,ld(X0,X0)),rd(X2,X0)),
inference(backward_demodulation,[],[f2232,f2360]) ).
fof(f2427,plain,
! [X2,X1] : mult(mult(X2,ld(X1,X1)),rd(ld(X1,X1),X1)) = mult(rd(X2,X1),ld(X1,X1)),
inference(backward_demodulation,[],[f1816,f2349]) ).
fof(f2451,plain,
! [X0] : mult(X0,x1) = rd(X0,ld(x1,sF0)),
inference(backward_demodulation,[],[f341,f2377]) ).
fof(f2479,plain,
! [X2,X1] : mult(rd(X2,X1),ld(X1,X1)) = mult(mult(X2,ld(X1,X1)),ld(X1,ld(X1,X1))),
inference(forward_demodulation,[],[f2427,f2360]) ).
fof(f2490,plain,
! [X0] : mult(X0,x1) = mult(X0,ld(sF0,x1)),
inference(forward_demodulation,[],[f2451,f1073]) ).
fof(f2500,plain,
! [X2,X1] : mult(rd(X2,X1),ld(X1,X1)) = rd(mult(X2,ld(X1,X1)),X1),
inference(forward_demodulation,[],[f2479,f2363]) ).
fof(f2570,plain,
ld(x1,mult(mult(x1,x1),sF0)) = mult(sF0,mult(ld(sF0,x1),sF0)),
inference(superposition,[],[f68,f2490]) ).
fof(f2571,plain,
ld(x1,mult(mult(x1,x1),sF0)) = ld(mult(sF0,sF0),x1),
inference(forward_demodulation,[],[f2570,f1679]) ).
fof(f2610,plain,
mult(sF0,mult(x1,sF0)) = ld(mult(sF0,sF0),x1),
inference(forward_demodulation,[],[f2571,f68]) ).
fof(f2644,plain,
mult(sF0,x1) = ld(mult(sF0,sF0),x1),
inference(forward_demodulation,[],[f2610,f13]) ).
fof(f2663,plain,
x1 = ld(mult(sF0,sF0),x1),
inference(forward_demodulation,[],[f2644,f2343]) ).
fof(f2686,plain,
! [X0,X1] : ld(mult(ld(X0,X0),X1),rd(X0,X1)) = rd(ld(X1,X0),X1),
inference(superposition,[],[f1868,f2348]) ).
fof(f2922,plain,
x1 = mult(mult(sF0,sF0),x1),
inference(superposition,[],[f1,f2663]) ).
fof(f3196,plain,
mult(sF0,sF0) = rd(x1,x1),
inference(superposition,[],[f4,f2922]) ).
fof(f3223,plain,
ld(x1,x1) = mult(sF0,sF0),
inference(forward_demodulation,[],[f3196,f2349]) ).
fof(f3233,plain,
sF0 = mult(sF0,sF0),
inference(forward_demodulation,[],[f3223,f9]) ).
fof(f3236,plain,
sF0 = ld(sF0,sF0),
inference(backward_demodulation,[],[f196,f3233]) ).
fof(f3240,plain,
! [X0] : mult(sF0,mult(sF0,mult(X0,sF0))) = mult(mult(sF0,X0),sF0),
inference(backward_demodulation,[],[f1357,f3233]) ).
fof(f3241,plain,
! [X0] : mult(sF0,mult(X0,sF0)) = ld(sF0,mult(mult(sF0,X0),sF0)),
inference(backward_demodulation,[],[f1359,f3233]) ).
fof(f3245,plain,
! [X0] : ld(sF0,mult(X0,sF0)) = mult(sF0,mult(ld(sF0,X0),sF0)),
inference(backward_demodulation,[],[f1375,f3233]) ).
fof(f3246,plain,
! [X0] : mult(ld(mult(X0,sF0),sF0),sF0) = ld(sF0,ld(X0,sF0)),
inference(backward_demodulation,[],[f1376,f3233]) ).
fof(f3249,plain,
! [X0] : ld(sF0,ld(sF0,X0)) = mult(ld(sF0,mult(X0,sF0)),sF0),
inference(backward_demodulation,[],[f1931,f3233]) ).
fof(f3250,plain,
! [X0] : rd(ld(X0,sF0),X0) = ld(mult(sF0,X0),rd(sF0,X0)),
inference(backward_demodulation,[],[f2167,f3233]) ).
fof(f3536,plain,
! [X2,X3,X0,X1] : mult(X1,mult(ld(mult(rd(X0,X1),X2),X3),X1)) = ld(mult(X0,rd(ld(X1,X2),X1)),mult(X3,X1)),
inference(superposition,[],[f139,f2252]) ).
fof(f3543,plain,
! [X0,X1] : mult(mult(rd(X0,sF0),X1),sF0) = mult(X0,rd(ld(sF0,X1),sF0)),
inference(superposition,[],[f558,f2252]) ).
fof(f3544,plain,
! [X0,X1] : mult(mult(rd(X0,sF0),X1),sF0) = mult(X0,mult(ld(sF0,X1),sF0)),
inference(forward_demodulation,[],[f3543,f558]) ).
fof(f3562,plain,
! [X0,X1] : mult(mult(mult(X0,sF0),X1),sF0) = mult(X0,mult(ld(sF0,X1),sF0)),
inference(forward_demodulation,[],[f3544,f558]) ).
fof(f3575,plain,
! [X0,X1] : mult(X0,mult(sF0,mult(X1,sF0))) = mult(X0,mult(ld(sF0,X1),sF0)),
inference(forward_demodulation,[],[f3562,f5]) ).
fof(f3583,plain,
! [X0] : ld(sF0,mult(X0,sF0)) = mult(sF0,mult(sF0,mult(X0,sF0))),
inference(backward_demodulation,[],[f3245,f3575]) ).
fof(f3584,plain,
! [X0] : ld(sF0,mult(X0,sF0)) = mult(mult(sF0,X0),sF0),
inference(forward_demodulation,[],[f3583,f3240]) ).
fof(f3585,plain,
! [X0] : ld(sF0,ld(sF0,X0)) = mult(mult(mult(sF0,X0),sF0),sF0),
inference(backward_demodulation,[],[f3249,f3584]) ).
fof(f3587,plain,
! [X0] : mult(sF0,mult(X0,sF0)) = mult(mult(sF0,mult(sF0,X0)),sF0),
inference(backward_demodulation,[],[f3241,f3584]) ).
fof(f3588,plain,
! [X0] : mult(sF0,X0) = ld(sF0,ld(sF0,X0)),
inference(forward_demodulation,[],[f3585,f592]) ).
fof(f3601,plain,
! [X0] : ld(sF0,X0) = mult(sF0,mult(sF0,X0)),
inference(superposition,[],[f1,f3588]) ).
fof(f3605,plain,
! [X0,X1] : ld(ld(sF0,X0),sF0) = ld(mult(X1,mult(sF0,X0)),X1),
inference(superposition,[],[f378,f3588]) ).
fof(f3606,plain,
! [X0,X1] : mult(X1,ld(ld(sF0,X0),sF0)) = rd(X1,mult(sF0,X0)),
inference(superposition,[],[f1073,f3588]) ).
fof(f3612,plain,
! [X0] : ld(mult(mult(x1,X0),sF0),x1) = ld(ld(sF0,mult(X0,sF0)),sF0),
inference(backward_demodulation,[],[f1721,f3605]) ).
fof(f3614,plain,
! [X0] : mult(sF0,mult(X0,sF0)) = mult(ld(sF0,X0),sF0),
inference(backward_demodulation,[],[f3587,f3601]) ).
fof(f3625,plain,
! [X0] : ld(mult(mult(x1,X0),sF0),x1) = ld(mult(mult(sF0,X0),sF0),sF0),
inference(forward_demodulation,[],[f3612,f3584]) ).
fof(f3630,plain,
! [X0,X1] : rd(X1,mult(sF0,mult(X0,sF0))) = mult(X1,ld(mult(mult(sF0,X0),sF0),sF0)),
inference(backward_demodulation,[],[f1722,f3625]) ).
fof(f3641,plain,
! [X0,X1] : mult(sF0,rd(sF0,X0)) = ld(sF0,ld(mult(X1,X0),X1)),
inference(superposition,[],[f3601,f290]) ).
fof(f3643,plain,
! [X0] : mult(sF0,rd(sF0,X0)) = ld(sF0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f3601,f2363]) ).
fof(f4342,plain,
! [X0] : rd(X0,X0) = mult(rd(X0,X0),ld(X0,X0)),
inference(superposition,[],[f2500,f1]) ).
fof(f4356,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = mult(mult(rd(X0,X1),ld(X1,X1)),X1),
inference(superposition,[],[f3,f2500]) ).
fof(f4377,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = mult(rd(rd(X0,X1),X1),mult(X1,X1)),
inference(forward_demodulation,[],[f4356,f2287]) ).
fof(f4390,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f4342,f2349]) ).
fof(f4668,plain,
! [X0,X1] : rd(rd(X0,X1),X1) = rd(mult(X0,ld(X1,X1)),mult(X1,X1)),
inference(superposition,[],[f4,f4377]) ).
fof(f4763,plain,
! [X0] : rd(rd(mult(X0,X0),X0),X0) = rd(mult(X0,mult(ld(X0,X0),X0)),mult(X0,X0)),
inference(superposition,[],[f4668,f50]) ).
fof(f4794,plain,
! [X0] : rd(rd(mult(X0,X0),X0),X0) = rd(mult(X0,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f4763,f2313]) ).
fof(f4810,plain,
! [X0] : ld(mult(X0,X0),mult(X0,X0)) = rd(rd(mult(X0,X0),X0),X0),
inference(forward_demodulation,[],[f4794,f2349]) ).
fof(f4825,plain,
! [X0] : rd(X0,X0) = ld(mult(X0,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f4810,f4]) ).
fof(f4840,plain,
! [X0] : ld(X0,X0) = ld(mult(X0,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f4825,f2349]) ).
fof(f8232,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,[],[f2231,f1073]) ).
fof(f8242,plain,
! [X2,X0,X1] : mult(ld(mult(X1,X2),X1),X0) = rd(ld(X2,mult(X0,X2)),X2),
inference(superposition,[],[f2231,f4]) ).
fof(f8291,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,[],[f8232,f378]) ).
fof(f8343,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,[],[f8291,f1073]) ).
fof(f9359,plain,
! [X2,X3,X0,X1] : mult(X2,ld(rd(mult(X3,X1),X0),mult(X3,X0))) = rd(X2,rd(ld(X0,X1),X0)),
inference(superposition,[],[f1073,f2149]) ).
fof(f9366,plain,
! [X2,X3,X0,X1] : rd(X2,rd(ld(X0,X1),X0)) = mult(X2,mult(X0,mult(ld(mult(X3,X1),X3),X0))),
inference(forward_demodulation,[],[f9359,f139]) ).
fof(f9420,plain,
! [X2,X0,X1] : rd(X2,rd(ld(X0,X1),X0)) = mult(rd(mult(X2,X0),X1),X0),
inference(forward_demodulation,[],[f9366,f1533]) ).
fof(f9544,plain,
! [X0] : mult(X0,sF0) = mult(sF0,mult(mult(sF0,X0),sF0)),
inference(superposition,[],[f1,f3584]) ).
fof(f9552,plain,
! [X0,X1] : ld(mult(sF0,X1),rd(mult(X0,sF0),X1)) = rd(ld(X1,mult(mult(sF0,X0),sF0)),X1),
inference(superposition,[],[f1868,f3584]) ).
fof(f9619,plain,
! [X0] : mult(ld(ld(sF0,X0),sF0),sF0) = mult(sF0,mult(rd(sF0,mult(sF0,X0)),sF0)),
inference(superposition,[],[f9544,f3606]) ).
fof(f9620,plain,
! [X0] : mult(ld(X0,ld(X0,X0)),sF0) = mult(sF0,mult(rd(sF0,X0),sF0)),
inference(superposition,[],[f9544,f2363]) ).
fof(f9635,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,f9544]) ).
fof(f9664,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,[],[f9635,f3630]) ).
fof(f9689,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,[],[f9664,f3246]) ).
fof(f9705,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,[],[f9689,f3641]) ).
fof(f13832,plain,
! [X0,X1] : mult(ld(X1,ld(X1,X1)),X0) = rd(ld(X1,mult(X0,X1)),X1),
inference(superposition,[],[f2406,f4]) ).
fof(f14009,plain,
! [X0] : mult(ld(mult(sF0,X0),ld(mult(sF0,X0),mult(sF0,X0))),sF0) = rd(ld(mult(sF0,X0),ld(sF0,X0)),mult(sF0,X0)),
inference(superposition,[],[f13832,f3601]) ).
fof(f14020,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = mult(mult(ld(X0,ld(X0,X0)),X1),X0),
inference(superposition,[],[f3,f13832]) ).
fof(f14067,plain,
! [X0] : mult(ld(mult(sF0,X0),ld(mult(sF0,X0),mult(sF0,X0))),sF0) = ld(mult(sF0,mult(sF0,X0)),rd(X0,mult(sF0,X0))),
inference(forward_demodulation,[],[f14009,f1868]) ).
fof(f14123,plain,
! [X0] : mult(ld(mult(sF0,X0),ld(mult(sF0,X0),mult(sF0,X0))),sF0) = ld(ld(sF0,X0),rd(X0,mult(sF0,X0))),
inference(forward_demodulation,[],[f14067,f3601]) ).
fof(f14168,plain,
! [X0] : mult(sF0,mult(rd(sF0,mult(sF0,X0)),sF0)) = ld(ld(sF0,X0),rd(X0,mult(sF0,X0))),
inference(forward_demodulation,[],[f14123,f9620]) ).
fof(f14202,plain,
! [X0] : mult(ld(ld(sF0,X0),sF0),sF0) = ld(ld(sF0,X0),rd(X0,mult(sF0,X0))),
inference(forward_demodulation,[],[f14168,f9619]) ).
fof(f14302,plain,
! [X2,X0,X1] : rd(rd(X0,X1),X2) = rd(mult(X0,X2),mult(X2,mult(X1,X2))),
inference(superposition,[],[f1762,f3]) ).
fof(f14508,plain,
! [X0] : mult(mult(mult(sF0,X0),sF0),mult(sF0,rd(sF0,X0))) = rd(rd(X0,X0),sF0),
inference(backward_demodulation,[],[f9705,f14302]) ).
fof(f14596,plain,
! [X0] : mult(mult(mult(sF0,X0),sF0),mult(sF0,rd(sF0,X0))) = mult(rd(X0,X0),sF0),
inference(forward_demodulation,[],[f14508,f558]) ).
fof(f14669,plain,
! [X0] : mult(mult(mult(sF0,X0),sF0),mult(sF0,rd(sF0,X0))) = mult(ld(X0,X0),sF0),
inference(forward_demodulation,[],[f14596,f2349]) ).
fof(f18465,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,[],[f2358,f2365]) ).
fof(f18526,plain,
! [X0,X1] : mult(ld(X0,X1),ld(X1,X0)) = mult(ld(X1,X0),ld(X0,X1)),
inference(forward_demodulation,[],[f18465,f2]) ).
fof(f18735,plain,
! [X2,X0,X1] : rd(rd(X1,X2),ld(X1,X0)) = rd(X0,mult(ld(X1,X0),mult(X2,ld(X1,X0)))),
inference(superposition,[],[f14302,f1]) ).
fof(f18775,plain,
! [X0,X1] : rd(X0,mult(sF0,mult(X1,sF0))) = rd(rd(mult(X0,sF0),X1),sF0),
inference(superposition,[],[f14302,f592]) ).
fof(f18857,plain,
! [X0,X1] : rd(rd(X1,mult(sF0,X0)),sF0) = rd(mult(X1,sF0),mult(X0,sF0)),
inference(superposition,[],[f14302,f9544]) ).
fof(f18899,plain,
! [X0,X1] : rd(mult(X1,sF0),mult(X0,sF0)) = mult(rd(X1,mult(sF0,X0)),sF0),
inference(forward_demodulation,[],[f18857,f558]) ).
fof(f18978,plain,
! [X0,X1] : rd(X0,mult(sF0,mult(X1,sF0))) = mult(rd(mult(X0,sF0),X1),sF0),
inference(forward_demodulation,[],[f18775,f558]) ).
fof(f18999,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,[],[f18735,f1119]) ).
fof(f19090,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,[],[f18999,f1073]) ).
fof(f22003,plain,
! [X2,X0,X1] : mult(ld(mult(X0,X1),X0),X2) = mult(ld(X1,ld(X1,X1)),X2),
inference(superposition,[],[f13832,f8242]) ).
fof(f30889,plain,
! [X0] : ld(ld(sF0,sF1),sF0) = ld(mult(mult(X0,x0),sF0),mult(X0,sF0)),
inference(superposition,[],[f3605,f1786]) ).
fof(f30976,plain,
! [X0] : ld(ld(sF0,sF1),sF0) = mult(sF0,mult(ld(mult(X0,x0),X0),sF0)),
inference(forward_demodulation,[],[f30889,f625]) ).
fof(f31026,plain,
mult(sF0,mult(ld(x0,ld(x0,x0)),sF0)) = ld(ld(sF0,sF1),sF0),
inference(forward_demodulation,[],[f30976,f22003]) ).
fof(f31067,plain,
ld(sF1,mult(ld(x0,x0),sF0)) = ld(ld(sF0,sF1),sF0),
inference(forward_demodulation,[],[f31026,f283]) ).
fof(f31148,plain,
! [X0] : ld(mult(ld(x0,x0),sF0),sF1) = ld(mult(X0,ld(ld(sF0,sF1),sF0)),X0),
inference(superposition,[],[f378,f31067]) ).
fof(f31174,plain,
ld(sF0,ld(sF0,sF1)) = ld(mult(ld(x0,x0),sF0),sF1),
inference(forward_demodulation,[],[f31148,f378]) ).
fof(f31187,plain,
mult(sF0,sF1) = ld(mult(ld(x0,x0),sF0),sF1),
inference(forward_demodulation,[],[f31174,f3588]) ).
fof(f36108,plain,
! [X0,X1] : mult(rd(X0,X0),ld(X1,X0)) = mult(X1,ld(mult(X0,mult(ld(X0,X1),X1)),X0)),
inference(superposition,[],[f19090,f50]) ).
fof(f36305,plain,
! [X0,X1] : mult(rd(X0,X0),ld(X1,X0)) = rd(X1,mult(ld(X0,X1),X1)),
inference(forward_demodulation,[],[f36108,f290]) ).
fof(f36474,plain,
! [X0,X1] : rd(X1,mult(ld(X0,X1),X1)) = mult(ld(X0,X0),ld(X1,X0)),
inference(forward_demodulation,[],[f36305,f2349]) ).
fof(f36934,plain,
! [X0,X1] : mult(ld(X0,X1),X1) = ld(mult(ld(X0,X0),ld(X1,X0)),X1),
inference(superposition,[],[f15,f36474]) ).
fof(f36968,plain,
! [X0,X1] : ld(X1,X1) = mult(rd(X0,mult(ld(X1,X0),X0)),ld(X1,X0)),
inference(superposition,[],[f1074,f36474]) ).
fof(f36972,plain,
! [X0,X1] : rd(ld(rd(X0,X1),rd(X0,X1)),X1) = rd(X0,mult(ld(rd(X0,X1),X0),X0)),
inference(superposition,[],[f455,f36474]) ).
fof(f37072,plain,
! [X0,X1] : rd(ld(rd(X0,X1),rd(X0,X1)),X1) = rd(X0,mult(X1,X0)),
inference(forward_demodulation,[],[f36972,f15]) ).
fof(f37632,plain,
! [X0] : mult(ld(rd(sF0,X0),mult(sF0,X0)),mult(sF0,X0)) = ld(mult(ld(rd(sF0,X0),rd(sF0,X0)),rd(ld(X0,sF0),X0)),mult(sF0,X0)),
inference(superposition,[],[f36934,f3250]) ).
fof(f37761,plain,
! [X0] : mult(ld(rd(sF0,X0),mult(sF0,X0)),mult(sF0,X0)) = mult(X0,mult(ld(mult(rd(ld(rd(sF0,X0),rd(sF0,X0)),X0),sF0),sF0),X0)),
inference(forward_demodulation,[],[f37632,f3536]) ).
fof(f37857,plain,
! [X0] : mult(ld(rd(sF0,X0),mult(sF0,X0)),mult(sF0,X0)) = mult(X0,mult(ld(mult(rd(sF0,mult(X0,sF0)),sF0),sF0),X0)),
inference(forward_demodulation,[],[f37761,f37072]) ).
fof(f37929,plain,
! [X0] : mult(X0,mult(ld(mult(rd(sF0,mult(X0,sF0)),sF0),sF0),X0)) = mult(mult(X0,mult(ld(sF0,sF0),X0)),mult(sF0,X0)),
inference(forward_demodulation,[],[f37857,f139]) ).
fof(f37988,plain,
! [X0] : mult(X0,mult(ld(mult(rd(sF0,mult(X0,sF0)),sF0),sF0),X0)) = mult(mult(X0,mult(sF0,X0)),mult(sF0,X0)),
inference(forward_demodulation,[],[f37929,f3236]) ).
fof(f46517,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,f2355]) ).
fof(f47062,plain,
! [X2,X0,X1] : rd(X1,rd(X0,X2)) = mult(rd(mult(X1,X2),mult(X2,X0)),X2),
inference(superposition,[],[f9420,f2]) ).
fof(f60809,plain,
! [X0,X1] : ld(rd(X1,X0),rd(X1,X0)) = mult(rd(X1,mult(X0,X1)),X0),
inference(superposition,[],[f36968,f15]) ).
fof(f60810,plain,
! [X2,X0,X1] : ld(rd(X1,X0),rd(X1,X0)) = mult(rd(mult(X2,X0),mult(mult(X0,mult(ld(X1,X2),X0)),mult(X2,X0))),mult(X0,mult(ld(X1,X2),X0))),
inference(superposition,[],[f36968,f139]) ).
fof(f61042,plain,
! [X2,X0,X1] : mult(rd(X1,mult(X0,X1)),X0) = mult(rd(mult(X2,X0),mult(mult(X0,mult(ld(X1,X2),X0)),mult(X2,X0))),mult(X0,mult(ld(X1,X2),X0))),
inference(backward_demodulation,[],[f60810,f60809]) ).
fof(f61731,plain,
! [X0,X1] : mult(ld(ld(X1,rd(X1,X0)),ld(X1,rd(X1,X0))),sF0) = mult(mult(rd(sF0,X0),sF0),mult(sF0,rd(sF0,ld(X1,rd(X1,X0))))),
inference(superposition,[],[f14669,f455]) ).
fof(f61760,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,f14669]) ).
fof(f61851,plain,
! [X0] : ld(X0,X0) = mult(mult(sF0,X0),mult(sF0,mult(mult(sF0,rd(sF0,X0)),sF0))),
inference(forward_demodulation,[],[f61760,f592]) ).
fof(f61877,plain,
! [X0,X1] : mult(ld(ld(X1,rd(X1,X0)),ld(X1,rd(X1,X0))),sF0) = mult(mult(rd(sF0,X0),sF0),mult(sF0,mult(sF0,ld(rd(X1,X0),X1)))),
inference(forward_demodulation,[],[f61731,f1073]) ).
fof(f61916,plain,
! [X0] : ld(X0,X0) = mult(mult(sF0,X0),mult(rd(sF0,X0),sF0)),
inference(forward_demodulation,[],[f61851,f9544]) ).
fof(f61941,plain,
! [X0,X1] : mult(ld(ld(X1,rd(X1,X0)),ld(X1,rd(X1,X0))),sF0) = mult(mult(rd(sF0,X0),sF0),ld(sF0,ld(rd(X1,X0),X1))),
inference(forward_demodulation,[],[f61877,f3601]) ).
fof(f61998,plain,
! [X0,X1] : mult(mult(rd(sF0,X0),sF0),ld(sF0,X0)) = mult(ld(ld(X1,rd(X1,X0)),ld(X1,rd(X1,X0))),sF0),
inference(forward_demodulation,[],[f61941,f15]) ).
fof(f62043,plain,
! [X0,X1] : mult(mult(rd(sF0,X0),sF0),ld(sF0,X0)) = mult(mult(ld(rd(X1,X0),X1),ld(X1,rd(X1,X0))),sF0),
inference(forward_demodulation,[],[f61998,f176]) ).
fof(f62079,plain,
! [X0,X1] : mult(mult(rd(sF0,X0),sF0),ld(sF0,X0)) = mult(mult(ld(X1,rd(X1,X0)),ld(rd(X1,X0),X1)),sF0),
inference(forward_demodulation,[],[f62043,f18526]) ).
fof(f62111,plain,
! [X0,X1] : mult(mult(rd(sF0,X0),sF0),ld(sF0,X0)) = mult(mult(ld(X1,rd(X1,X0)),X0),sF0),
inference(forward_demodulation,[],[f62079,f15]) ).
fof(f62137,plain,
! [X0] : mult(ld(X0,X0),sF0) = mult(mult(rd(sF0,X0),sF0),ld(sF0,X0)),
inference(forward_demodulation,[],[f62111,f182]) ).
fof(f62237,plain,
! [X0] : mult(ld(X0,X0),X0) = mult(sF0,mult(X0,mult(mult(rd(sF0,X0),sF0),X0))),
inference(superposition,[],[f5,f61916]) ).
fof(f62321,plain,
! [X0] : mult(sF0,mult(X0,mult(mult(rd(sF0,X0),sF0),X0))) = X0,
inference(forward_demodulation,[],[f62237,f2313]) ).
fof(f64506,plain,
! [X0] : ld(sF0,X0) = mult(X0,mult(mult(rd(sF0,X0),sF0),X0)),
inference(superposition,[],[f2,f62321]) ).
fof(f64908,plain,
! [X0] : mult(mult(rd(sF0,X0),sF0),X0) = ld(X0,ld(sF0,X0)),
inference(superposition,[],[f2,f64506]) ).
fof(f64958,plain,
! [X0] : rd(ld(mult(mult(rd(sF0,ld(X0,X0)),sF0),ld(X0,X0)),X0),mult(mult(rd(sF0,ld(X0,X0)),sF0),ld(X0,X0))) = ld(ld(sF0,ld(X0,X0)),rd(X0,mult(mult(rd(sF0,ld(X0,X0)),sF0),ld(X0,X0)))),
inference(superposition,[],[f2686,f64506]) ).
fof(f64962,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,[],[f14020,f64506]) ).
fof(f65005,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,[],[f64962,f3643]) ).
fof(f65009,plain,
! [X0] : rd(ld(mult(mult(mult(sF0,ld(X0,X0)),sF0),ld(X0,X0)),X0),mult(mult(mult(sF0,ld(X0,X0)),sF0),ld(X0,X0))) = ld(ld(sF0,ld(X0,X0)),rd(X0,mult(mult(mult(sF0,ld(X0,X0)),sF0),ld(X0,X0)))),
inference(forward_demodulation,[],[f64958,f1073]) ).
fof(f65109,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,[],[f65005,f46517]) ).
fof(f65113,plain,
! [X0] : rd(ld(mult(sF0,mult(ld(X0,X0),mult(sF0,ld(X0,X0)))),X0),mult(sF0,mult(ld(X0,X0),mult(sF0,ld(X0,X0))))) = ld(ld(sF0,ld(X0,X0)),rd(X0,mult(sF0,mult(ld(X0,X0),mult(sF0,ld(X0,X0)))))),
inference(forward_demodulation,[],[f65009,f5]) ).
fof(f65176,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,[],[f65109,f15]) ).
fof(f65229,plain,
! [X0] : mult(mult(sF0,rd(sF0,X0)),X0) = ld(X0,mult(rd(sF0,ld(X0,ld(X0,X0))),sF0)),
inference(forward_demodulation,[],[f65176,f3]) ).
fof(f65266,plain,
! [X0] : mult(mult(sF0,rd(sF0,X0)),X0) = ld(X0,mult(mult(sF0,ld(ld(X0,X0),X0)),sF0)),
inference(forward_demodulation,[],[f65229,f1073]) ).
fof(f65294,plain,
! [X0] : mult(mult(sF0,rd(sF0,X0)),X0) = ld(X0,mult(mult(sF0,X0),sF0)),
inference(forward_demodulation,[],[f65266,f2348]) ).
fof(f65315,plain,
! [X0] : mult(rd(sF0,X0),mult(X0,sF0)) = ld(X0,mult(mult(sF0,X0),sF0)),
inference(forward_demodulation,[],[f65294,f1751]) ).
fof(f65401,plain,
! [X0] : ld(mult(rd(sF0,X0),sF0),ld(X0,ld(sF0,X0))) = X0,
inference(superposition,[],[f2,f64908]) ).
fof(f65847,plain,
! [X0] : mult(sF0,X0) = ld(mult(rd(sF0,mult(sF0,X0)),sF0),ld(mult(sF0,X0),X0)),
inference(superposition,[],[f65401,f2]) ).
fof(f66492,plain,
! [X0] : mult(mult(sF0,X0),sF0) = mult(X0,mult(rd(sF0,X0),mult(X0,sF0))),
inference(superposition,[],[f1,f65315]) ).
fof(f66930,plain,
! [X0] : mult(mult(sF0,mult(X0,sF0)),sF0) = mult(mult(X0,sF0),mult(rd(sF0,mult(X0,sF0)),X0)),
inference(superposition,[],[f66492,f592]) ).
fof(f67111,plain,
! [X0] : mult(mult(sF0,sF0),mult(sF0,X0)) = mult(mult(X0,sF0),mult(rd(sF0,mult(X0,sF0)),X0)),
inference(forward_demodulation,[],[f66930,f1787]) ).
fof(f67187,plain,
! [X0] : mult(sF0,mult(sF0,X0)) = mult(mult(X0,sF0),mult(rd(sF0,mult(X0,sF0)),X0)),
inference(forward_demodulation,[],[f67111,f3233]) ).
fof(f67252,plain,
! [X0] : ld(sF0,X0) = mult(mult(X0,sF0),mult(rd(sF0,mult(X0,sF0)),X0)),
inference(forward_demodulation,[],[f67187,f3601]) ).
fof(f74402,plain,
! [X0,X1] : ld(mult(sF0,mult(X0,sF0)),mult(X1,sF0)) = mult(sF0,mult(ld(ld(sF0,X0),X1),sF0)),
inference(superposition,[],[f625,f3614]) ).
fof(f74513,plain,
! [X0] : mult(X0,sF0) = ld(mult(sF0,mult(ld(X0,X0),sF0)),mult(X0,sF0)),
inference(superposition,[],[f2348,f625]) ).
fof(f74598,plain,
! [X0,X1] : ld(mult(X0,sF0),mult(X0,sF0)) = mult(rd(mult(X1,sF0),mult(mult(sF0,mult(ld(X0,X1),sF0)),mult(X1,sF0))),mult(sF0,mult(ld(X0,X1),sF0))),
inference(superposition,[],[f36968,f625]) ).
fof(f74616,plain,
! [X0] : ld(mult(X0,sF0),mult(X0,sF0)) = mult(rd(X0,mult(sF0,X0)),sF0),
inference(forward_demodulation,[],[f74598,f61042]) ).
fof(f74750,plain,
! [X0] : mult(X0,sF0) = mult(sF0,mult(ld(ld(sF0,ld(X0,X0)),X0),sF0)),
inference(backward_demodulation,[],[f74513,f74402]) ).
fof(f74780,plain,
! [X0] : mult(sF0,mult(ld(X0,X0),sF0)) = mult(rd(X0,mult(sF0,X0)),sF0),
inference(forward_demodulation,[],[f74616,f625]) ).
fof(f129245,plain,
! [X0] : mult(rd(sF0,mult(sF0,X0)),sF0) = rd(sF0,rd(X0,sF0)),
inference(superposition,[],[f47062,f3233]) ).
fof(f129683,plain,
! [X0] : mult(rd(sF0,mult(sF0,X0)),sF0) = rd(sF0,mult(X0,sF0)),
inference(forward_demodulation,[],[f129245,f558]) ).
fof(f129900,plain,
! [X0] : mult(ld(ld(sF0,X0),sF0),sF0) = mult(sF0,rd(sF0,mult(X0,sF0))),
inference(backward_demodulation,[],[f9619,f129683]) ).
fof(f129906,plain,
! [X0] : mult(sF0,X0) = ld(rd(sF0,mult(X0,sF0)),ld(mult(sF0,X0),X0)),
inference(backward_demodulation,[],[f65847,f129683]) ).
fof(f130070,plain,
! [X0] : ld(ld(sF0,X0),rd(X0,mult(sF0,X0))) = mult(sF0,rd(sF0,mult(X0,sF0))),
inference(backward_demodulation,[],[f14202,f129900]) ).
fof(f130394,plain,
! [X0] : ld(mult(sF0,X0),X0) = mult(rd(sF0,mult(X0,sF0)),mult(sF0,X0)),
inference(superposition,[],[f1,f129906]) ).
fof(f130871,plain,
! [X0] : rd(sF0,mult(X0,sF0)) = rd(ld(mult(sF0,X0),X0),mult(sF0,X0)),
inference(superposition,[],[f4,f130394]) ).
fof(f135460,plain,
! [X0] : rd(sF0,mult(mult(mult(sF0,X0),sF0),sF0)) = rd(ld(mult(X0,sF0),mult(mult(sF0,X0),sF0)),mult(X0,sF0)),
inference(superposition,[],[f130871,f9544]) ).
fof(f135596,plain,
! [X0] : rd(sF0,mult(mult(mult(sF0,X0),sF0),sF0)) = ld(mult(sF0,mult(X0,sF0)),rd(mult(X0,sF0),mult(X0,sF0))),
inference(forward_demodulation,[],[f135460,f9552]) ).
fof(f135648,plain,
! [X0] : rd(sF0,mult(mult(mult(sF0,X0),sF0),sF0)) = ld(mult(sF0,mult(X0,sF0)),mult(rd(X0,mult(sF0,X0)),sF0)),
inference(forward_demodulation,[],[f135596,f18899]) ).
fof(f135684,plain,
! [X0] : rd(sF0,mult(mult(mult(sF0,X0),sF0),sF0)) = mult(sF0,mult(ld(ld(sF0,X0),rd(X0,mult(sF0,X0))),sF0)),
inference(forward_demodulation,[],[f135648,f74402]) ).
fof(f135715,plain,
! [X0] : rd(sF0,mult(mult(mult(sF0,X0),sF0),sF0)) = mult(sF0,mult(mult(sF0,rd(sF0,mult(X0,sF0))),sF0)),
inference(forward_demodulation,[],[f135684,f130070]) ).
fof(f135740,plain,
! [X0] : mult(rd(sF0,mult(X0,sF0)),sF0) = rd(sF0,mult(mult(mult(sF0,X0),sF0),sF0)),
inference(forward_demodulation,[],[f135715,f9544]) ).
fof(f135763,plain,
! [X0] : rd(sF0,mult(sF0,X0)) = mult(rd(sF0,mult(X0,sF0)),sF0),
inference(forward_demodulation,[],[f135740,f592]) ).
fof(f135787,plain,
! [X0] : mult(mult(X0,mult(sF0,X0)),mult(sF0,X0)) = mult(X0,mult(ld(rd(sF0,mult(sF0,X0)),sF0),X0)),
inference(backward_demodulation,[],[f37988,f135763]) ).
fof(f135820,plain,
! [X0] : mult(mult(X0,mult(sF0,X0)),mult(sF0,X0)) = mult(X0,mult(mult(sF0,X0),X0)),
inference(forward_demodulation,[],[f135787,f15]) ).
fof(f155025,plain,
! [X0] : ld(sF0,ld(sF0,X0)) = mult(mult(sF0,mult(X0,sF0)),mult(rd(sF0,mult(sF0,mult(X0,sF0))),ld(sF0,X0))),
inference(superposition,[],[f67252,f3614]) ).
fof(f155227,plain,
! [X0] : ld(sF0,ld(sF0,X0)) = mult(mult(sF0,mult(X0,sF0)),mult(mult(rd(mult(sF0,sF0),X0),sF0),ld(sF0,X0))),
inference(forward_demodulation,[],[f155025,f18978]) ).
fof(f155297,plain,
! [X0] : ld(sF0,ld(sF0,X0)) = mult(mult(sF0,mult(X0,sF0)),mult(mult(rd(sF0,X0),sF0),ld(sF0,X0))),
inference(forward_demodulation,[],[f155227,f3233]) ).
fof(f155351,plain,
! [X0] : ld(sF0,ld(sF0,X0)) = mult(mult(sF0,mult(X0,sF0)),mult(ld(X0,X0),sF0)),
inference(forward_demodulation,[],[f155297,f62137]) ).
fof(f155393,plain,
! [X0] : mult(sF0,X0) = mult(mult(sF0,mult(X0,sF0)),mult(ld(X0,X0),sF0)),
inference(forward_demodulation,[],[f155351,f3588]) ).
fof(f169542,plain,
! [X0] : mult(X0,mult(sF0,X0)) = rd(mult(X0,mult(mult(sF0,X0),X0)),mult(sF0,X0)),
inference(superposition,[],[f4,f135820]) ).
fof(f169664,plain,
! [X0] : mult(X0,mult(sF0,X0)) = mult(mult(X0,mult(sF0,X0)),rd(X0,mult(sF0,X0))),
inference(forward_demodulation,[],[f169542,f31]) ).
fof(f170012,plain,
! [X0] : mult(mult(mult(X0,sF0),mult(sF0,mult(X0,sF0))),sF0) = mult(mult(mult(mult(X0,sF0),sF0),X0),mult(sF0,mult(rd(mult(X0,sF0),mult(sF0,mult(X0,sF0))),sF0))),
inference(superposition,[],[f17,f169664]) ).
fof(f170136,plain,
! [X0] : mult(mult(mult(X0,sF0),mult(sF0,mult(X0,sF0))),sF0) = mult(mult(mult(mult(X0,sF0),sF0),X0),mult(sF0,mult(sF0,mult(ld(mult(X0,sF0),mult(X0,sF0)),sF0)))),
inference(forward_demodulation,[],[f170012,f74780]) ).
fof(f170228,plain,
! [X0] : mult(mult(mult(X0,sF0),mult(sF0,mult(X0,sF0))),sF0) = mult(mult(mult(mult(X0,sF0),sF0),X0),ld(sF0,mult(ld(mult(X0,sF0),mult(X0,sF0)),sF0))),
inference(forward_demodulation,[],[f170136,f3601]) ).
fof(f170315,plain,
! [X0] : mult(mult(mult(X0,sF0),mult(sF0,mult(X0,sF0))),sF0) = mult(mult(mult(mult(X0,sF0),sF0),X0),mult(mult(sF0,ld(mult(X0,sF0),mult(X0,sF0))),sF0)),
inference(forward_demodulation,[],[f170228,f3584]) ).
fof(f170383,plain,
! [X0] : mult(mult(mult(X0,sF0),mult(sF0,mult(X0,sF0))),sF0) = mult(mult(mult(mult(X0,sF0),sF0),X0),mult(rd(sF0,sF0),ld(X0,mult(mult(X0,sF0),sF0)))),
inference(forward_demodulation,[],[f170315,f1758]) ).
fof(f170434,plain,
! [X0] : mult(mult(mult(X0,sF0),mult(sF0,mult(X0,sF0))),sF0) = mult(mult(X0,X0),mult(rd(sF0,sF0),ld(X0,X0))),
inference(forward_demodulation,[],[f170383,f592]) ).
fof(f170467,plain,
! [X0] : mult(mult(mult(X0,sF0),mult(sF0,mult(X0,sF0))),sF0) = mult(mult(X0,X0),mult(mult(sF0,sF0),ld(X0,X0))),
inference(forward_demodulation,[],[f170434,f558]) ).
fof(f170485,plain,
! [X0] : mult(mult(mult(X0,sF0),mult(sF0,mult(X0,sF0))),sF0) = mult(mult(X0,X0),mult(sF0,ld(X0,X0))),
inference(forward_demodulation,[],[f170467,f3233]) ).
fof(f170496,plain,
! [X0] : mult(X0,mult(sF0,mult(mult(sF0,mult(X0,sF0)),sF0))) = mult(mult(X0,X0),mult(sF0,ld(X0,X0))),
inference(forward_demodulation,[],[f170485,f5]) ).
fof(f170503,plain,
! [X0] : mult(X0,mult(mult(X0,sF0),sF0)) = mult(mult(X0,X0),mult(sF0,ld(X0,X0))),
inference(forward_demodulation,[],[f170496,f9544]) ).
fof(f170509,plain,
! [X0] : mult(X0,X0) = mult(mult(X0,X0),mult(sF0,ld(X0,X0))),
inference(forward_demodulation,[],[f170503,f592]) ).
fof(f170574,plain,
! [X0] : ld(mult(X0,X0),mult(X0,X0)) = mult(sF0,ld(X0,X0)),
inference(superposition,[],[f2,f170509]) ).
fof(f170698,plain,
! [X0] : ld(X0,X0) = mult(sF0,ld(X0,X0)),
inference(forward_demodulation,[],[f170574,f4840]) ).
fof(f170787,plain,
! [X0] : rd(ld(mult(sF0,mult(ld(X0,X0),ld(X0,X0))),X0),mult(sF0,mult(ld(X0,X0),ld(X0,X0)))) = ld(ld(sF0,ld(X0,X0)),rd(X0,mult(sF0,mult(ld(X0,X0),ld(X0,X0))))),
inference(backward_demodulation,[],[f65113,f170698]) ).
fof(f170913,plain,
! [X0] : rd(ld(mult(sF0,ld(X0,X0)),X0),mult(sF0,ld(X0,X0))) = ld(ld(sF0,ld(X0,X0)),rd(X0,mult(sF0,ld(X0,X0)))),
inference(forward_demodulation,[],[f170787,f4390]) ).
fof(f170983,plain,
! [X0] : rd(ld(ld(X0,X0),X0),ld(X0,X0)) = ld(ld(sF0,ld(X0,X0)),rd(X0,ld(X0,X0))),
inference(forward_demodulation,[],[f170913,f170698]) ).
fof(f171032,plain,
! [X0] : rd(ld(ld(X0,X0),X0),ld(X0,X0)) = ld(ld(sF0,ld(X0,X0)),mult(X0,ld(X0,X0))),
inference(forward_demodulation,[],[f170983,f1073]) ).
fof(f171075,plain,
! [X0] : rd(ld(ld(X0,X0),X0),ld(X0,X0)) = ld(ld(sF0,ld(X0,X0)),X0),
inference(forward_demodulation,[],[f171032,f1]) ).
fof(f171108,plain,
! [X0] : mult(ld(ld(X0,X0),X0),ld(X0,X0)) = ld(ld(sF0,ld(X0,X0)),X0),
inference(forward_demodulation,[],[f171075,f1073]) ).
fof(f171139,plain,
! [X0] : mult(ld(X0,X0),mult(X0,ld(X0,X0))) = ld(ld(sF0,ld(X0,X0)),X0),
inference(forward_demodulation,[],[f171108,f8343]) ).
fof(f171193,plain,
! [X0] : mult(ld(X0,X0),X0) = ld(ld(sF0,ld(X0,X0)),X0),
inference(forward_demodulation,[],[f171139,f1]) ).
fof(f171233,plain,
! [X0] : ld(ld(sF0,ld(X0,X0)),X0) = X0,
inference(forward_demodulation,[],[f171193,f2313]) ).
fof(f171262,plain,
! [X0] : mult(X0,sF0) = mult(sF0,mult(X0,sF0)),
inference(backward_demodulation,[],[f74750,f171233]) ).
fof(f171279,plain,
! [X0,X1] : mult(mult(X0,X1),sF0) = mult(mult(X0,sF0),mult(X1,sF0)),
inference(backward_demodulation,[],[f622,f171262]) ).
fof(f171576,plain,
! [X0] : mult(sF0,X0) = mult(mult(X0,sF0),mult(ld(X0,X0),sF0)),
inference(backward_demodulation,[],[f155393,f171262]) ).
fof(f171735,plain,
! [X0] : ld(mult(X0,sF0),sF1) = mult(ld(X0,x0),sF0),
inference(backward_demodulation,[],[f1680,f171262]) ).
fof(f172878,plain,
mult(sF0,sF1) = mult(ld(ld(x0,x0),x0),sF0),
inference(backward_demodulation,[],[f31187,f171735]) ).
fof(f173245,plain,
! [X0] : mult(sF0,X0) = mult(mult(X0,ld(X0,X0)),sF0),
inference(backward_demodulation,[],[f171576,f171279]) ).
fof(f174050,plain,
mult(x0,sF0) = mult(sF0,sF1),
inference(forward_demodulation,[],[f172878,f2348]) ).
fof(f174421,plain,
! [X0] : mult(X0,sF0) = mult(sF0,X0),
inference(forward_demodulation,[],[f173245,f1]) ).
fof(f176102,plain,
sF1 = mult(sF0,sF1),
inference(forward_demodulation,[],[f174050,f11]) ).
fof(f178104,plain,
x0 = mult(sF0,sF1),
inference(backward_demodulation,[],[f267,f174421]) ).
fof(f184751,plain,
x0 = sF1,
inference(backward_demodulation,[],[f176102,f178104]) ).
fof(f193430,plain,
$false,
inference(forward_subsumption_resolution,[],[f184751,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP655-13 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.40 % Computer : n009.cluster.edu
% 0.11/5.40 % Model : x86_64 x86_64
% 0.11/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.40 % Memory : 8046.5625MB
% 0.11/5.40 % OS : Linux 6.8.0-71-generic
% 0.11/5.40 % CPULimit : 300
% 0.11/5.40 % WCLimit : 300
% 0.11/5.40 % DateTime : Sun Sep 27 10:32:06 UTC 2026
% 0.11/5.40 % CPUTime :
% 0.11/5.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.44 Running first-order theorem proving
% 0.11/5.44 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
% 88.12/18.36 % (1834684)Detected a unit-equality problem, will run specialized UEQ schedule.
% 88.12/18.36 % (1834694)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1058949790:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 88.12/18.36 % (1834689)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=928888115:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 88.12/18.36 % (1834690)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=614404037:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 88.12/18.36 % (1834692)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2110945799:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 88.12/18.36 % (1834691)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=138792081:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 88.12/18.36 % (1834695)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4013175573:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 88.12/18.36 % (1834693)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4235232441:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 88.12/18.36 % (1834694)Instruction limit reached!
% 88.12/18.36 % (1834694)------------------------------
% 88.12/18.36 % (1834694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.12/18.36 % (1834694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.12/18.36 % (1834694)CaDiCaL version: 2.1.3
% 88.12/18.36 % (1834694)Termination reason: Instruction limit
% 88.12/18.36 % (1834694)Termination phase: Saturation
% 88.12/18.36 % (1834694)Time elapsed: 0.083 s
% 88.12/18.36 % (1834694)Peak memory usage: 90 MB
% 88.12/18.36 % (1834694)Instructions burned: 261 (million)
% 88.12/18.36 % (1834692)Instruction limit reached!
% 88.12/18.36 % (1834692)------------------------------
% 88.12/18.36 % (1834692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.12/18.36 % (1834692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.12/18.36 % (1834692)CaDiCaL version: 2.1.3
% 88.12/18.36 % (1834692)Termination reason: Instruction limit
% 88.12/18.36 % (1834692)Termination phase: Saturation
% 88.12/18.36 % (1834692)Time elapsed: 0.078 s
% 88.12/18.36 % (1834692)Peak memory usage: 88 MB
% 88.12/18.36 % (1834692)Instructions burned: 137 (million)
% 88.12/18.36 % (1834693)Instruction limit reached!
% 88.12/18.36 % (1834693)------------------------------
% 88.12/18.36 % (1834693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.12/18.36 % (1834693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.12/18.36 % (1834693)CaDiCaL version: 2.1.3
% 88.12/18.36 % (1834693)Termination reason: Instruction limit
% 88.12/18.36 % (1834693)Termination phase: Saturation
% 88.12/18.36 % (1834693)Time elapsed: 0.107 s
% 88.12/18.36 % (1834693)Peak memory usage: 89 MB
% 88.12/18.36 % (1834693)Instructions burned: 182 (million)
% 88.12/18.36 % (1834703)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3235569710:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 88.12/18.36 % (1834704)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=208926850:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 88.12/18.36 % (1834705)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3054833197:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 88.12/18.36 % (1834705)Instruction limit reached!
% 88.12/18.36 % (1834705)------------------------------
% 88.12/18.36 % (1834705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.12/18.36 % (1834705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.12/18.36 % (1834705)CaDiCaL version: 2.1.3
% 88.12/18.36 % (1834705)Termination reason: Instruction limit
% 88.12/18.36 % (1834705)Termination phase: Saturation
% 88.12/18.36 % (1834705)Time elapsed: 0.113 s
% 97.09/21.97 % (1834705)Peak memory usage: 90 MB
% 97.09/21.97 % (1834705)Instructions burned: 216 (million)
% 97.09/21.97 % (1834709)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=1440841416: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)
% 97.09/21.97 % (1834695)Instruction limit reached!
% 97.09/21.97 % (1834695)------------------------------
% 97.09/21.97 % (1834695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.09/21.97 % (1834695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.09/21.97 % (1834695)CaDiCaL version: 2.1.3
% 97.09/21.97 % (1834695)Termination reason: Instruction limit
% 97.09/21.97 % (1834695)Termination phase: Saturation
% 97.09/21.97 % (1834695)Time elapsed: 0.661 s
% 97.09/21.97 % (1834695)Peak memory usage: 101 MB
% 97.09/21.97 % (1834695)Instructions burned: 1188 (million)
% 97.09/21.97 % (1834709)Instruction limit reached!
% 97.09/21.97 % (1834709)------------------------------
% 97.09/21.97 % (1834709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.09/21.97 % (1834709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.09/21.97 % (1834709)CaDiCaL version: 2.1.3
% 97.09/21.97 % (1834709)Termination reason: Instruction limit
% 97.09/21.97 % (1834709)Termination phase: Saturation
% 97.09/21.97 % (1834709)Time elapsed: 0.186 s
% 97.09/21.97 % (1834709)Peak memory usage: 93 MB
% 97.09/21.97 % (1834709)Instructions burned: 318 (million)
% 97.09/21.97 % (1834711)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=2651797699:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 97.09/21.97 % (1834712)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2821173966:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 97.09/21.97 % (1834703)Instruction limit reached!
% 97.09/21.97 % (1834703)------------------------------
% 97.09/21.97 % (1834703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.09/21.97 % (1834703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.09/21.97 % (1834703)CaDiCaL version: 2.1.3
% 97.09/21.97 % (1834703)Termination reason: Instruction limit
% 97.09/21.97 % (1834703)Termination phase: Saturation
% 97.09/21.97 % (1834703)Time elapsed: 0.710 s
% 97.09/21.97 % (1834703)Peak memory usage: 141 MB
% 97.09/21.97 % (1834703)Instructions burned: 2051 (million)
% 97.09/21.97 % (1834715)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=519513930:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2990 on theBenchmark for (2990ds/14534Mi)
% 97.09/21.97 % (1834712)Instruction limit reached!
% 97.09/21.97 % (1834712)------------------------------
% 97.09/21.97 % (1834712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.09/21.97 % (1834712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.09/21.97 % (1834712)CaDiCaL version: 2.1.3
% 97.09/21.97 % (1834712)Termination reason: Instruction limit
% 97.09/21.97 % (1834712)Termination phase: Saturation
% 97.09/21.97 % (1834712)Time elapsed: 1.965 s
% 97.09/21.97 % (1834712)Peak memory usage: 124 MB
% 97.09/21.97 % (1834712)Instructions burned: 2837 (million)
% 97.09/21.97 % (1834717)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=670341141:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2970 on theBenchmark for (2970ds/11832Mi)
% 97.09/21.97 % (1834704)Instruction limit reached!
% 97.09/21.97 % (1834704)------------------------------
% 97.09/21.97 % (1834704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.09/21.97 % (1834704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.09/21.97 % (1834704)CaDiCaL version: 2.1.3
% 97.09/21.97 % (1834704)Termination reason: Instruction limit
% 97.09/21.97 % (1834704)Termination phase: Saturation
% 97.09/21.97 % (1834704)Time elapsed: 2.986 s
% 97.09/21.97 % (1834704)Peak memory usage: 166 MB
% 97.09/21.97 % (1834704)Instructions burned: 4949 (million)
% 97.09/21.97 % (1834719)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=953893463:i=2279:fgj=on:bd=all_2966 on theBenchmark for (2966ds/2279Mi)
% 97.09/21.97 % (1834719)Instruction limit reached!
% 97.09/21.97 % (1834719)------------------------------
% 97.09/21.97 % (1834719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.09/21.97 % (1834719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.09/21.97 % (1834719)CaDiCaL version: 2.1.3
% 97.09/21.97 % (1834719)Termination reason: Instruction limit
% 97.09/21.97 % (1834719)Termination phase: Saturation
% 97.09/21.97 % (1834719)Time elapsed: 1.379 s
% 97.09/21.97 % (1834719)Peak memory usage: 139 MB
% 97.09/21.97 % (1834719)Instructions burned: 2280 (million)
% 97.09/21.97 % (1834721)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=3408449283:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2951 on theBenchmark for (2951ds/6225Mi)
% 97.09/21.97 % (1834715)Instruction limit reached!
% 97.09/21.97 % (1834715)------------------------------
% 97.09/21.97 % (1834715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.09/21.97 % (1834715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.09/21.97 % (1834715)CaDiCaL version: 2.1.3
% 97.09/21.97 % (1834715)Termination reason: Instruction limit
% 97.09/21.97 % (1834715)Termination phase: Saturation
% 97.09/21.97 % (1834715)Time elapsed: 5.037 s
% 97.09/21.97 % (1834715)Peak memory usage: 245 MB
% 97.09/21.97 % (1834715)Instructions burned: 14536 (million)
% 97.09/21.97 % (1834723)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=270075008:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2938 on theBenchmark for (2938ds/21755Mi)
% 97.09/21.97 % (1834721)Instruction limit reached!
% 97.09/21.97 % (1834721)------------------------------
% 97.09/21.97 % (1834721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.09/21.97 % (1834721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.09/21.97 % (1834721)CaDiCaL version: 2.1.3
% 97.09/21.97 % (1834721)Termination reason: Instruction limit
% 97.09/21.97 % (1834721)Termination phase: Saturation
% 97.09/21.97 % (1834721)Time elapsed: 3.472 s
% 97.09/21.97 % (1834721)Peak memory usage: 161 MB
% 97.09/21.97 % (1834721)Instructions burned: 6226 (million)
% 97.09/21.97 % (1834711)Instruction limit reached!
% 97.09/21.97 % (1834711)------------------------------
% 97.09/21.97 % (1834711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.09/21.97 % (1834711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.09/21.97 % (1834711)CaDiCaL version: 2.1.3
% 97.09/21.97 % (1834711)Termination reason: Instruction limit
% 97.09/21.97 % (1834711)Termination phase: Saturation
% 97.09/21.97 % (1834711)Time elapsed: 7.608 s
% 97.09/21.97 % (1834711)Peak memory usage: 225 MB
% 97.09/21.97 % (1834711)Instructions burned: 12125 (million)
% 97.09/21.97 % (1834725)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=412199311:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2914 on theBenchmark for (2914ds/16427Mi)
% 97.09/21.97 % (1834726)lrs+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:fde=none:sp=const_frequency:spb=goal:fd=preordered:random_seed=1869028463:i=9356:fgj=on:bd=preordered:av=off_2914 on theBenchmark for (2914ds/9356Mi)
% 97.09/21.97 % (1834717)Instruction limit reached!
% 97.09/21.97 % (1834717)------------------------------
% 97.09/21.97 % (1834717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.09/21.97 % (1834717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.09/21.97 % (1834717)CaDiCaL version: 2.1.3
% 97.09/21.97 % (1834717)Termination reason: Instruction limit
% 97.09/21.97 % (1834717)Termination phase: Saturation
% 97.09/21.97 % (1834717)Time elapsed: 7.737 s
% 97.09/21.97 % (1834717)Peak memory usage: 224 MB
% 97.09/21.97 % (1834717)Instructions burned: 11833 (million)
% 97.09/21.97 % (1834729)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=1823368028:i=2070:kws=inv_precedence:slsql=off:bd=all_2891 on theBenchmark for (2891ds/2070Mi)
% 97.09/21.97 % (1834729)Instruction limit reached!
% 97.09/21.97 % (1834729)------------------------------
% 97.09/21.97 % (1834729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.09/21.97 % (1834729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.09/21.97 % (1834729)CaDiCaL version: 2.1.3
% 97.09/21.97 % (1834729)Termination reason: Instruction limit
% 97.09/21.97 % (1834729)Termination phase: Saturation
% 97.09/21.97 % (1834729)Time elapsed: 1.265 s
% 97.09/21.97 % (1834729)Peak memory usage: 123 MB
% 97.09/21.97 % (1834729)Instructions burned: 2072 (million)
% 97.09/21.97 % (1834731)lrs+1002_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=8000:tgt=ground:npcc=on:fde=unused:sp=const_min:urr=ec_only:s2agt=32:random_seed=1893839608:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2875 on theBenchmark for (2875ds/6461Mi)
% 97.09/21.97 % (1834726)Instruction limit reached!
% 97.09/21.97 % (1834726)------------------------------
% 97.09/21.97 % (1834726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.09/21.97 % (1834726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.09/21.97 % (1834726)CaDiCaL version: 2.1.3
% 97.09/21.97 % (1834726)Termination reason: Instruction limit
% 97.09/21.97 % (1834726)Termination phase: Saturation
% 97.09/21.97 % (1834726)Time elapsed: 4.922 s
% 97.09/21.97 % (1834726)Peak memory usage: 249 MB
% 97.09/21.97 % (1834726)Instructions burned: 9357 (million)
% 97.09/21.97 % (1834733)lrs+10_6_to=lpo:lpd=off:sil=8000:tgt=ground:drc=off:sp=arity:spb=goal:fd=preordered:random_seed=2718912750:i=2310:bd=all:ss=included_2863 on theBenchmark for (2863ds/2310Mi)
% 97.09/21.97 % (1834723)Instruction limit reached!
% 97.09/21.97 % (1834723)------------------------------
% 97.09/21.97 % (1834723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.09/21.97 % (1834723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.09/21.97 % (1834723)CaDiCaL version: 2.1.3
% 97.09/21.97 % (1834723)Termination reason: Instruction limit
% 97.09/21.97 % (1834723)Termination phase: Saturation
% 97.09/21.97 % (1834723)Time elapsed: 8.440 s
% 97.09/21.97 % (1834723)Peak memory usage: 236 MB
% 97.09/21.97 % (1834723)Instructions burned: 21755 (million)
% 97.09/21.97 % (1834735)dis+11_1_sil=8000:fd=off:nwc=20:random_seed=1501107084:st=3:s2pl=on:i=2616:av=off:fsr=off:ss=axioms:sgt=8_2853 on theBenchmark for (2853ds/2616Mi)
% 97.09/21.97 % (1834733)Instruction limit reached!
% 97.09/21.97 % (1834733)------------------------------
% 97.09/21.97 % (1834733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.09/21.97 % (1834733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.09/21.97 % (1834733)CaDiCaL version: 2.1.3
% 97.09/21.97 % (1834733)Termination reason: Instruction limit
% 97.09/21.97 % (1834733)Termination phase: Saturation
% 97.09/21.97 % (1834733)Time elapsed: 1.123 s
% 97.09/21.97 % (1834733)Peak memory usage: 112 MB
% 97.09/21.97 % (1834733)Instructions burned: 2312 (million)
% 97.09/21.97 % (1834737)lrs+0_1_ncem=casc2026/models/loop3.pt:sil=32000:tgt=ground:npcc=on:sp=occurrence:urr=ec_only:fd=preordered:random_seed=1420317053:i=30521:gtgl=2:kws=inv_arity:bd=all:gtg=exists_sym_2851 on theBenchmark for (2851ds/30521Mi)
% 97.09/21.97 % (1834735)Instruction limit reached!
% 97.09/21.97 % (1834735)------------------------------
% 97.09/21.97 % (1834735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.09/21.97 % (1834735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.09/21.97 % (1834735)CaDiCaL version: 2.1.3
% 97.09/21.97 % (1834735)Termination reason: Instruction limit
% 97.09/21.97 % (1834735)Termination phase: Saturation
% 97.09/21.97 % (1834735)Time elapsed: 0.852 s
% 97.09/21.97 % (1834735)Peak memory usage: 124 MB
% 97.09/21.97 % (1834735)Instructions burned: 2617 (million)
% 97.09/21.97 % (1834740)lrs+11_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:tgt=full:npcc=on:prc=on:fde=unused:sp=reverse_frequency:spb=goal:acc=on:urr=ec_only:s2agt=32:random_seed=61075377:i=3258:fgj=on:bd=all:ins=1_2843 on theBenchmark for (2843ds/3258Mi)
% 97.09/21.97 % (1834691)First to succeed.
% 97.09/21.97 % (1834691)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1834684"
% 97.09/21.97 % (1834731)Instruction limit reached!
% 97.09/21.97 % (1834731)------------------------------
% 97.09/21.97 % (1834731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.09/21.97 % (1834731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.09/21.97 % (1834731)CaDiCaL version: 2.1.3
% 97.09/21.97 % (1834731)Termination reason: Instruction limit
% 97.09/21.97 % (1834731)Termination phase: Saturation
% 97.09/21.97 % (1834731)Time elapsed: 3.431 s
% 97.09/21.97 % (1834731)Peak memory usage: 222 MB
% 97.09/21.97 % (1834731)Instructions burned: 6462 (million)
% 97.09/21.97 % (1834691)Refutation found. Thanks to Tanya!
% 97.09/21.97 % SZS status Unsatisfiable for theBenchmark
% 97.09/21.97 % SZS output start Proof for theBenchmark
% See solution above
% 114.23/22.17 % (1834691)------------------------------
% 114.23/22.17 % (1834691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 114.23/22.17 % (1834691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.23/22.17 % (1834691)CaDiCaL version: 2.1.3
% 114.23/22.17 % (1834691)Termination reason: Refutation
% 114.23/22.17 % (1834691)Time elapsed: 15.629 s
% 114.23/22.17 % (1834691)Peak memory usage: 292 MB
% 114.23/22.17 % (1834691)Instructions burned: 23664 (million)
% 114.23/22.17 % (1834691)------------------------------
% 114.23/22.17 % (1834691)------------------------------
% 114.23/22.17 % (1834684)Success in time 16.092 s
% 114.23/22.17 % Vampire exiting
%------------------------------------------------------------------------------