%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP654-11 : 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 : n019.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 10:15:21 AM UTC 2026
% Result : Unsatisfiable 24.15s 4.24s
% Output : Refutation 24.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 84
% Number of leaves : 8
% Syntax : Number of formulae : 320 ( 320 unt; 2 def)
% Number of atoms : 320 ( 319 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 : 405 ( 405 !; 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(X0,X2))) = mult(mult(mult(X0,X1),X0),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,negated_conjecture,
mult(x0,rd(x1,x1)) != x0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f7,plain,
x0 != mult(x0,rd(x1,x1)),
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF0 = rd(x1,x1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f9,plain,
rd(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,
sF0 = ld(x0,sF1),
inference(superposition,[],[f2,f11]) ).
fof(f14,plain,
x1 = mult(sF0,x1),
inference(superposition,[],[f3,f9]) ).
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(X1,X2))) = mult(mult(X0,X1),X2),
inference(superposition,[],[f5,f1]) ).
fof(f18,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,mult(rd(X0,X1),X2))) = mult(mult(X0,rd(X0,X1)),X2),
inference(superposition,[],[f5,f3]) ).
fof(f19,plain,
! [X0] : mult(x0,mult(sF0,mult(x0,X0))) = mult(mult(sF1,x0),X0),
inference(superposition,[],[f5,f11]) ).
fof(f22,plain,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,ld(mult(mult(X0,X1),X0),X2)))) = X2,
inference(superposition,[],[f1,f5]) ).
fof(f33,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f34,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X0) = rd(mult(X0,mult(X1,mult(X0,X2))),X2),
inference(superposition,[],[f4,f5]) ).
fof(f36,plain,
x0 = rd(sF1,sF0),
inference(superposition,[],[f4,f11]) ).
fof(f40,plain,
! [X2,X0,X1] : mult(mult(rd(X0,X1),X2),rd(X0,X1)) = rd(mult(rd(X0,X1),mult(X2,X0)),X1),
inference(superposition,[],[f34,f3]) ).
fof(f74,plain,
! [X2,X0,X1] : mult(mult(X1,X2),X1) = rd(mult(X1,X0),mult(X2,ld(mult(mult(X2,X1),X2),X0))),
inference(superposition,[],[f34,f22]) ).
fof(f78,plain,
! [X2,X0,X1] : ld(X1,X0) = mult(X2,mult(X1,ld(mult(mult(X1,X2),X1),X0))),
inference(superposition,[],[f2,f22]) ).
fof(f111,plain,
! [X0] : mult(mult(sF0,X0),sF0) = rd(mult(sF0,mult(X0,x1)),x1),
inference(superposition,[],[f34,f14]) ).
fof(f122,plain,
! [X2,X0,X1] : mult(mult(X2,X1),ld(X1,X0)) = mult(X1,mult(ld(X1,X2),X0)),
inference(superposition,[],[f16,f1]) ).
fof(f135,plain,
! [X2,X0,X1] : mult(ld(X1,X0),mult(X1,X2)) = ld(X1,mult(mult(X0,X1),X2)),
inference(superposition,[],[f2,f16]) ).
fof(f149,plain,
! [X2,X0,X1] : mult(ld(X1,rd(X0,X1)),mult(X1,X2)) = ld(X1,mult(X0,X2)),
inference(superposition,[],[f135,f3]) ).
fof(f193,plain,
! [X2,X0,X1] : mult(X0,ld(mult(mult(X0,X2),X0),X1)) = ld(X2,ld(X0,X1)),
inference(superposition,[],[f2,f78]) ).
fof(f211,plain,
! [X2,X0,X1] : mult(mult(X1,X2),X1) = rd(mult(X1,X0),ld(X1,ld(X2,X0))),
inference(backward_demodulation,[],[f74,f193]) ).
fof(f240,plain,
! [X2,X0,X1] : mult(X1,ld(mult(X0,X1),X2)) = ld(ld(X1,X0),ld(X1,X2)),
inference(superposition,[],[f193,f1]) ).
fof(f253,plain,
! [X2,X0,X1] : ld(mult(mult(X1,X0),X1),X2) = ld(X1,ld(X0,ld(X1,X2))),
inference(superposition,[],[f2,f193]) ).
fof(f305,plain,
! [X0] : ld(mult(sF1,x0),X0) = ld(x0,ld(sF0,ld(x0,X0))),
inference(superposition,[],[f253,f11]) ).
fof(f312,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X0) = rd(X2,ld(X0,ld(X1,ld(X0,X2)))),
inference(superposition,[],[f33,f253]) ).
fof(f347,plain,
! [X0] : mult(mult(x0,X0),x0) = rd(sF1,ld(x0,ld(X0,sF0))),
inference(superposition,[],[f312,f13]) ).
fof(f377,plain,
! [X2,X0,X1] : mult(mult(X1,rd(X2,X0)),X1) = rd(mult(X1,X2),ld(X1,X0)),
inference(superposition,[],[f211,f15]) ).
fof(f417,plain,
! [X2,X0,X1] : mult(X1,ld(mult(X2,X1),mult(X1,X0))) = ld(ld(X1,X2),X0),
inference(superposition,[],[f240,f2]) ).
fof(f641,plain,
! [X2,X0,X1] : mult(X0,ld(X1,X2)) = mult(X1,mult(ld(X1,rd(X0,X1)),X2)),
inference(superposition,[],[f122,f3]) ).
fof(f681,plain,
! [X2,X0,X1] : ld(X1,mult(X2,ld(X1,X0))) = mult(ld(X1,rd(X2,X1)),X0),
inference(superposition,[],[f149,f1]) ).
fof(f695,plain,
! [X2,X0,X1] : ld(X0,rd(X1,X0)) = rd(ld(X0,mult(X1,X2)),mult(X0,X2)),
inference(superposition,[],[f4,f149]) ).
fof(f719,plain,
! [X2,X0,X1] : ld(X1,rd(rd(X0,X2),X1)) = rd(ld(X1,X0),mult(X1,X2)),
inference(superposition,[],[f695,f3]) ).
fof(f723,plain,
! [X0] : ld(X0,rd(sF0,X0)) = rd(ld(X0,x1),mult(X0,x1)),
inference(superposition,[],[f695,f14]) ).
fof(f724,plain,
! [X0,X1] : ld(X1,rd(X1,X1)) = rd(X0,mult(X1,X0)),
inference(superposition,[],[f695,f2]) ).
fof(f733,plain,
! [X2,X0,X1] : ld(rd(X0,X1),rd(X2,rd(X0,X1))) = rd(ld(rd(X0,X1),mult(X2,X1)),X0),
inference(superposition,[],[f695,f3]) ).
fof(f737,plain,
! [X0] : ld(sF0,rd(X0,sF0)) = rd(ld(sF0,mult(X0,x1)),x1),
inference(superposition,[],[f695,f14]) ).
fof(f760,plain,
! [X0,X1] : ld(X1,rd(X1,X1)) = rd(ld(X1,X0),X0),
inference(superposition,[],[f724,f1]) ).
fof(f765,plain,
! [X2,X0,X1] : ld(rd(X0,X1),rd(rd(X0,X1),rd(X0,X1))) = rd(mult(X1,mult(rd(X0,X1),X2)),mult(mult(X0,rd(X0,X1)),X2)),
inference(superposition,[],[f724,f18]) ).
fof(f768,plain,
! [X0,X1] : rd(X1,X1) = mult(X1,rd(X0,mult(X1,X0))),
inference(superposition,[],[f1,f724]) ).
fof(f777,plain,
! [X0,X1] : mult(X0,X1) = ld(ld(X0,rd(X0,X0)),X1),
inference(superposition,[],[f15,f724]) ).
fof(f787,plain,
! [X2,X0,X1] : rd(mult(X1,mult(rd(X0,X1),X2)),mult(mult(X0,rd(X0,X1)),X2)) = rd(ld(rd(X0,X1),X0),mult(rd(X0,X1),X1)),
inference(forward_demodulation,[],[f765,f719]) ).
fof(f792,plain,
! [X2,X0,X1] : rd(mult(X1,mult(rd(X0,X1),X2)),mult(mult(X0,rd(X0,X1)),X2)) = rd(ld(rd(X0,X1),X0),X0),
inference(forward_demodulation,[],[f787,f3]) ).
fof(f793,plain,
! [X2,X0,X1] : rd(X1,X0) = rd(mult(X1,mult(rd(X0,X1),X2)),mult(mult(X0,rd(X0,X1)),X2)),
inference(forward_demodulation,[],[f792,f15]) ).
fof(f794,plain,
! [X0,X1] : rd(X1,X1) = mult(X1,rd(ld(X1,X0),X0)),
inference(superposition,[],[f768,f1]) ).
fof(f800,plain,
! [X0,X1] : rd(rd(X0,X1),rd(X0,X1)) = mult(rd(X0,X1),rd(X1,X0)),
inference(superposition,[],[f768,f3]) ).
fof(f804,plain,
rd(sF0,sF0) = mult(sF0,rd(x1,x1)),
inference(superposition,[],[f768,f14]) ).
fof(f828,plain,
rd(sF0,sF0) = mult(sF0,sF0),
inference(forward_demodulation,[],[f804,f9]) ).
fof(f899,plain,
! [X0] : rd(X0,mult(sF0,X0)) = ld(sF0,mult(sF0,sF0)),
inference(superposition,[],[f724,f828]) ).
fof(f900,plain,
! [X0] : ld(sF0,mult(sF0,X0)) = mult(ld(sF0,mult(sF0,sF0)),mult(sF0,X0)),
inference(superposition,[],[f149,f828]) ).
fof(f904,plain,
! [X0] : ld(sF0,mult(sF0,X0)) = mult(sF0,mult(sF0,X0)),
inference(forward_demodulation,[],[f900,f2]) ).
fof(f905,plain,
! [X0] : sF0 = rd(X0,mult(sF0,X0)),
inference(forward_demodulation,[],[f899,f2]) ).
fof(f906,plain,
! [X0] : mult(sF0,mult(sF0,X0)) = X0,
inference(forward_demodulation,[],[f904,f2]) ).
fof(f917,plain,
! [X0] : mult(sF0,X0) = ld(sF0,X0),
inference(superposition,[],[f15,f905]) ).
fof(f926,plain,
! [X0] : ld(mult(sF1,x0),X0) = ld(x0,mult(sF0,ld(x0,X0))),
inference(backward_demodulation,[],[f305,f917]) ).
fof(f930,plain,
! [X0] : rd(mult(sF0,mult(X0,x1)),x1) = ld(sF0,rd(X0,sF0)),
inference(backward_demodulation,[],[f737,f917]) ).
fof(f940,plain,
! [X0] : rd(mult(sF0,mult(X0,x1)),x1) = mult(sF0,rd(X0,sF0)),
inference(forward_demodulation,[],[f930,f917]) ).
fof(f942,plain,
! [X0] : ld(mult(sF1,x0),X0) = mult(ld(x0,rd(sF0,x0)),X0),
inference(forward_demodulation,[],[f926,f681]) ).
fof(f951,plain,
! [X0] : mult(mult(sF0,X0),sF0) = mult(sF0,rd(X0,sF0)),
inference(backward_demodulation,[],[f111,f940]) ).
fof(f1054,plain,
! [X2,X0,X1] : rd(ld(X0,X1),X1) = rd(ld(X0,X2),X2),
inference(superposition,[],[f760,f760]) ).
fof(f1066,plain,
! [X2,X0,X1] : rd(X2,mult(X0,X2)) = rd(ld(X0,X1),X1),
inference(superposition,[],[f724,f760]) ).
fof(f1083,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,rd(X0,X0)),X1),
inference(superposition,[],[f3,f760]) ).
fof(f1114,plain,
! [X2,X0,X1] : ld(X1,X2) = mult(rd(X0,mult(X1,X0)),X2),
inference(superposition,[],[f1083,f724]) ).
fof(f1130,plain,
! [X2,X0,X1] : ld(ld(X0,rd(X0,X0)),ld(X1,ld(ld(X0,rd(X0,X0)),X2))) = ld(mult(ld(X0,X1),ld(X0,rd(X0,X0))),X2),
inference(superposition,[],[f253,f1083]) ).
fof(f1131,plain,
! [X2,X0,X1] : ld(ld(X0,rd(X0,X0)),rd(X2,ld(X0,rd(X0,X0)))) = rd(ld(ld(X0,rd(X0,X0)),mult(X2,X1)),ld(X0,X1)),
inference(superposition,[],[f695,f1083]) ).
fof(f1138,plain,
! [X2,X0,X1] : mult(mult(ld(X0,rd(X0,X0)),X1),ld(X0,rd(X0,X0))) = rd(ld(X0,mult(X1,mult(ld(X0,rd(X0,X0)),X2))),X2),
inference(superposition,[],[f34,f1083]) ).
fof(f1145,plain,
! [X2,X0,X1] : mult(mult(ld(X0,rd(X0,X0)),X1),ld(X0,rd(X0,X0))) = rd(ld(X0,mult(X1,ld(X0,X2))),X2),
inference(forward_demodulation,[],[f1138,f1083]) ).
fof(f1149,plain,
! [X2,X0,X1] : ld(ld(X0,rd(X0,X0)),rd(X2,ld(X0,rd(X0,X0)))) = rd(mult(X0,mult(X2,X1)),ld(X0,X1)),
inference(forward_demodulation,[],[f1131,f777]) ).
fof(f1150,plain,
! [X2,X0,X1] : ld(mult(ld(X0,X1),ld(X0,rd(X0,X0))),X2) = mult(X0,ld(X1,ld(ld(X0,rd(X0,X0)),X2))),
inference(forward_demodulation,[],[f1130,f777]) ).
fof(f1175,plain,
! [X2,X0,X1] : mult(mult(ld(X0,rd(X0,X0)),X1),ld(X0,rd(X0,X0))) = rd(mult(ld(X0,rd(X1,X0)),X2),X2),
inference(forward_demodulation,[],[f1145,f681]) ).
fof(f1178,plain,
! [X2,X0,X1] : ld(ld(X0,rd(X0,X0)),rd(X2,ld(X0,rd(X0,X0)))) = mult(mult(X0,rd(mult(X2,X1),X1)),X0),
inference(forward_demodulation,[],[f1149,f377]) ).
fof(f1179,plain,
! [X2,X0,X1] : ld(mult(ld(X0,X1),ld(X0,rd(X0,X0))),X2) = mult(X0,ld(X1,mult(X0,X2))),
inference(forward_demodulation,[],[f1150,f777]) ).
fof(f1190,plain,
! [X0,X1] : ld(X0,rd(X1,X0)) = mult(mult(ld(X0,rd(X0,X0)),X1),ld(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f1175,f4]) ).
fof(f1192,plain,
! [X2,X0] : mult(mult(X0,X2),X0) = ld(ld(X0,rd(X0,X0)),rd(X2,ld(X0,rd(X0,X0)))),
inference(forward_demodulation,[],[f1178,f4]) ).
fof(f1197,plain,
! [X0,X1] : ld(X0,rd(X1,X0)) = mult(ld(X0,X1),ld(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f1190,f1083]) ).
fof(f1198,plain,
! [X2,X0] : mult(mult(X0,X2),X0) = mult(X0,rd(X2,ld(X0,rd(X0,X0)))),
inference(forward_demodulation,[],[f1192,f777]) ).
fof(f1200,plain,
! [X2,X0,X1] : ld(ld(X0,rd(X1,X0)),X2) = mult(X0,ld(X1,mult(X0,X2))),
inference(backward_demodulation,[],[f1179,f1197]) ).
fof(f1222,plain,
! [X0,X1] : mult(X1,X0) = mult(mult(X1,mult(X0,ld(X1,rd(X1,X1)))),X1),
inference(superposition,[],[f1198,f4]) ).
fof(f1227,plain,
! [X0] : rd(X0,X0) = mult(mult(X0,ld(X0,ld(X0,rd(X0,X0)))),X0),
inference(superposition,[],[f794,f1198]) ).
fof(f1228,plain,
! [X0,X1] : rd(X1,ld(X0,rd(X0,X0))) = ld(X0,mult(mult(X0,X1),X0)),
inference(superposition,[],[f2,f1198]) ).
fof(f1260,plain,
! [X0] : rd(X0,X0) = mult(ld(X0,rd(X0,X0)),X0),
inference(forward_demodulation,[],[f1227,f1]) ).
fof(f1273,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(forward_demodulation,[],[f1260,f1083]) ).
fof(f1296,plain,
! [X0] : mult(X0,rd(X0,X0)) = X0,
inference(superposition,[],[f1,f1273]) ).
fof(f1298,plain,
! [X0] : rd(X0,rd(X0,X0)) = X0,
inference(superposition,[],[f33,f1273]) ).
fof(f1299,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),X0)) = mult(mult(X1,X0),rd(X0,X0)),
inference(superposition,[],[f122,f1273]) ).
fof(f1307,plain,
! [X0,X1] : rd(ld(X0,X1),ld(X0,X1)) = mult(X0,ld(mult(X1,X0),X1)),
inference(superposition,[],[f240,f1273]) ).
fof(f1324,plain,
x1 = mult(x1,sF0),
inference(superposition,[],[f1296,f9]) ).
fof(f1332,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = rd(mult(X0,mult(X1,X0)),rd(X0,X0)),
inference(superposition,[],[f34,f1296]) ).
fof(f1333,plain,
! [X0,X1] : mult(rd(X0,X0),mult(ld(rd(X0,X0),X0),X1)) = mult(X0,ld(rd(X0,X0),X1)),
inference(superposition,[],[f122,f1296]) ).
fof(f1339,plain,
! [X0] : ld(X0,rd(X0,X0)) = rd(rd(X0,X0),X0),
inference(superposition,[],[f724,f1296]) ).
fof(f1356,plain,
! [X0,X1] : ld(X0,X1) = mult(rd(rd(X0,X0),X0),X1),
inference(backward_demodulation,[],[f1083,f1339]) ).
fof(f1362,plain,
! [X0,X1] : ld(X0,rd(X1,X0)) = mult(ld(X0,X1),rd(rd(X0,X0),X0)),
inference(backward_demodulation,[],[f1197,f1339]) ).
fof(f1365,plain,
! [X0,X1] : mult(X1,X0) = mult(mult(X1,mult(X0,rd(rd(X1,X1),X1))),X1),
inference(backward_demodulation,[],[f1222,f1339]) ).
fof(f1367,plain,
! [X0,X1] : ld(X0,mult(mult(X0,X1),X0)) = rd(X1,rd(rd(X0,X0),X0)),
inference(backward_demodulation,[],[f1228,f1339]) ).
fof(f1385,plain,
! [X0,X1] : mult(rd(X0,X0),mult(X0,X1)) = mult(X0,ld(rd(X0,X0),X1)),
inference(forward_demodulation,[],[f1333,f15]) ).
fof(f1418,plain,
! [X0,X1] : rd(ld(X0,X1),X1) = rd(rd(X0,X0),X0),
inference(superposition,[],[f4,f1356]) ).
fof(f1510,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = rd(rd(X1,X1),X1),
inference(superposition,[],[f1418,f2]) ).
fof(f1515,plain,
! [X2,X0,X1] : rd(ld(X0,ld(X1,ld(X0,X2))),X2) = rd(rd(mult(mult(X0,X1),X0),mult(mult(X0,X1),X0)),mult(mult(X0,X1),X0)),
inference(superposition,[],[f1418,f253]) ).
fof(f1516,plain,
rd(sF0,sF1) = rd(rd(x0,x0),x0),
inference(superposition,[],[f1418,f13]) ).
fof(f1573,plain,
! [X2,X0,X1] : rd(mult(X1,mult(rd(X0,X1),X2)),mult(mult(X0,rd(X0,X1)),X2)) = rd(rd(rd(X0,X1),rd(X0,X1)),rd(X0,X1)),
inference(superposition,[],[f1510,f18]) ).
fof(f1587,plain,
! [X0,X1] : mult(X0,X1) = ld(rd(rd(X0,X0),X0),X1),
inference(superposition,[],[f15,f1510]) ).
fof(f1614,plain,
! [X2,X0,X1] : rd(mult(X1,mult(rd(X0,X1),X2)),mult(mult(X0,rd(X0,X1)),X2)) = rd(mult(rd(X0,X1),rd(X1,X0)),rd(X0,X1)),
inference(forward_demodulation,[],[f1573,f800]) ).
fof(f1623,plain,
! [X0,X1] : rd(X1,X0) = rd(mult(rd(X0,X1),rd(X1,X0)),rd(X0,X1)),
inference(forward_demodulation,[],[f1614,f793]) ).
fof(f1927,plain,
mult(mult(sF0,x1),sF0) = rd(mult(sF0,x1),rd(sF0,sF0)),
inference(superposition,[],[f1332,f1324]) ).
fof(f1950,plain,
mult(mult(sF0,x1),sF0) = rd(mult(sF0,x1),mult(sF0,sF0)),
inference(forward_demodulation,[],[f1927,f828]) ).
fof(f1971,plain,
mult(x1,sF0) = rd(x1,mult(sF0,sF0)),
inference(forward_demodulation,[],[f1950,f14]) ).
fof(f1981,plain,
x1 = rd(x1,mult(sF0,sF0)),
inference(forward_demodulation,[],[f1971,f1324]) ).
fof(f1999,plain,
mult(sF0,sF0) = ld(x1,x1),
inference(superposition,[],[f15,f1981]) ).
fof(f2003,plain,
rd(x1,x1) = mult(sF0,sF0),
inference(forward_demodulation,[],[f1999,f1273]) ).
fof(f2005,plain,
sF0 = mult(sF0,sF0),
inference(forward_demodulation,[],[f2003,f9]) ).
fof(f2006,plain,
sF0 = rd(sF0,sF0),
inference(backward_demodulation,[],[f828,f2005]) ).
fof(f2023,plain,
! [X0] : mult(mult(X0,sF0),sF0) = mult(sF0,mult(ld(sF0,X0),sF0)),
inference(superposition,[],[f16,f2005]) ).
fof(f2039,plain,
! [X0] : mult(sF0,mult(mult(sF0,X0),sF0)) = mult(mult(X0,sF0),sF0),
inference(forward_demodulation,[],[f2023,f917]) ).
fof(f2047,plain,
! [X0] : mult(sF0,mult(sF0,rd(X0,sF0))) = mult(mult(X0,sF0),sF0),
inference(forward_demodulation,[],[f2039,f951]) ).
fof(f2051,plain,
! [X0] : rd(X0,sF0) = mult(mult(X0,sF0),sF0),
inference(forward_demodulation,[],[f2047,f906]) ).
fof(f2066,plain,
! [X0] : mult(X0,sF0) = rd(rd(X0,sF0),sF0),
inference(superposition,[],[f4,f2051]) ).
fof(f2464,plain,
! [X2,X3,X0,X1] : rd(ld(X0,ld(X1,ld(X0,X2))),X2) = rd(ld(mult(mult(X0,X1),X0),X3),X3),
inference(superposition,[],[f1054,f253]) ).
fof(f2502,plain,
! [X2,X3,X0,X1] : rd(ld(X0,ld(X1,ld(X0,X2))),X2) = rd(ld(X0,ld(X1,ld(X0,X3))),X3),
inference(forward_demodulation,[],[f2464,f253]) ).
fof(f2653,plain,
rd(sF0,rd(rd(x0,x0),x0)) = ld(x0,mult(sF1,x0)),
inference(superposition,[],[f1367,f11]) ).
fof(f2667,plain,
! [X0] : mult(ld(X0,X0),mult(X0,X0)) = rd(X0,rd(rd(X0,X0),X0)),
inference(superposition,[],[f135,f1367]) ).
fof(f2693,plain,
! [X0] : mult(rd(X0,X0),mult(X0,X0)) = rd(X0,rd(rd(X0,X0),X0)),
inference(forward_demodulation,[],[f2667,f1273]) ).
fof(f2706,plain,
ld(x0,mult(sF1,x0)) = rd(sF0,rd(sF0,sF1)),
inference(forward_demodulation,[],[f2653,f1516]) ).
fof(f2719,plain,
! [X0] : mult(X0,ld(rd(X0,X0),X0)) = rd(X0,rd(rd(X0,X0),X0)),
inference(forward_demodulation,[],[f2693,f1385]) ).
fof(f2737,plain,
! [X0] : mult(X0,X0) = rd(X0,rd(rd(X0,X0),X0)),
inference(forward_demodulation,[],[f2719,f15]) ).
fof(f2762,plain,
! [X0,X1] : mult(X0,X0) = rd(X0,rd(ld(X0,X1),X1)),
inference(superposition,[],[f2737,f1418]) ).
fof(f2798,plain,
! [X0,X1] : rd(ld(X0,X1),X1) = ld(mult(X0,X0),X0),
inference(superposition,[],[f15,f2762]) ).
fof(f2820,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = ld(mult(X1,X1),X1),
inference(superposition,[],[f2798,f2]) ).
fof(f2961,plain,
! [X0,X1] : mult(mult(X1,X1),rd(X0,mult(X1,X0))) = X1,
inference(superposition,[],[f1,f2820]) ).
fof(f3062,plain,
! [X0,X1] : rd(X0,X1) = mult(mult(rd(X0,X1),rd(X0,X1)),rd(X1,X0)),
inference(superposition,[],[f2961,f3]) ).
fof(f3078,plain,
! [X0,X1] : ld(X0,X0) = mult(ld(X0,X0),mult(X0,rd(X1,mult(X0,X1)))),
inference(superposition,[],[f135,f2961]) ).
fof(f3100,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[],[f3078,f768]) ).
fof(f3124,plain,
! [X0] : rd(X0,X0) = mult(rd(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[],[f3100,f1273]) ).
fof(f4070,plain,
mult(sF1,x0) = mult(x0,rd(sF0,rd(sF0,sF1))),
inference(superposition,[],[f1,f2706]) ).
fof(f4452,plain,
! [X2,X0,X1] : mult(X0,X2) = ld(rd(ld(X0,X1),X1),X2),
inference(superposition,[],[f1587,f1418]) ).
fof(f4667,plain,
! [X2,X0,X1] : mult(rd(X1,X0),X2) = ld(rd(X0,X1),X2),
inference(superposition,[],[f4452,f15]) ).
fof(f4781,plain,
! [X2,X0,X1] : ld(rd(X0,X1),rd(X2,rd(X0,X1))) = rd(mult(rd(X1,X0),mult(X2,X1)),X0),
inference(backward_demodulation,[],[f733,f4667]) ).
fof(f4847,plain,
! [X2,X0,X1] : mult(mult(rd(X1,X0),X2),rd(X1,X0)) = ld(rd(X0,X1),rd(X2,rd(X0,X1))),
inference(forward_demodulation,[],[f4781,f40]) ).
fof(f4880,plain,
! [X2,X0,X1] : mult(mult(rd(X1,X0),X2),rd(X1,X0)) = mult(rd(X1,X0),rd(X2,rd(X0,X1))),
inference(forward_demodulation,[],[f4847,f4667]) ).
fof(f4952,plain,
! [X0] : ld(x0,X0) = mult(rd(sF0,sF1),X0),
inference(superposition,[],[f4667,f36]) ).
fof(f4963,plain,
! [X2,X0,X1] : rd(X1,X0) = rd(X2,mult(rd(X0,X1),X2)),
inference(superposition,[],[f33,f4667]) ).
fof(f4964,plain,
! [X2,X3,X0,X1] : mult(rd(X1,X0),mult(ld(rd(X1,X0),X3),X2)) = mult(mult(X3,rd(X1,X0)),mult(rd(X0,X1),X2)),
inference(superposition,[],[f122,f4667]) ).
fof(f4980,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(rd(X1,X0),X2)) = X2,
inference(superposition,[],[f2,f4667]) ).
fof(f5012,plain,
! [X2,X3,X0,X1] : mult(mult(X3,rd(X1,X0)),mult(rd(X0,X1),X2)) = mult(rd(X1,X0),mult(mult(rd(X0,X1),X3),X2)),
inference(forward_demodulation,[],[f4964,f4667]) ).
fof(f5407,plain,
! [X2,X0,X1] : rd(mult(rd(X2,X1),X0),rd(rd(rd(X1,X2),rd(X1,X2)),rd(X1,X2))) = ld(rd(X1,X2),mult(X0,rd(X1,X2))),
inference(superposition,[],[f1367,f4980]) ).
fof(f5418,plain,
! [X2,X0,X1] : rd(mult(rd(X2,X1),X0),rd(rd(rd(X1,X2),rd(X1,X2)),rd(X1,X2))) = mult(rd(X2,X1),mult(X0,rd(X1,X2))),
inference(forward_demodulation,[],[f5407,f4667]) ).
fof(f5510,plain,
! [X2,X0,X1] : mult(rd(X2,X1),mult(X0,rd(X1,X2))) = rd(mult(rd(X2,X1),X0),rd(mult(rd(X1,X2),rd(X2,X1)),rd(X1,X2))),
inference(forward_demodulation,[],[f5418,f800]) ).
fof(f5561,plain,
! [X2,X0,X1] : mult(rd(X2,X1),mult(X0,rd(X1,X2))) = rd(mult(rd(X2,X1),X0),rd(X2,X1)),
inference(forward_demodulation,[],[f5510,f1623]) ).
fof(f5627,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = mult(X0,mult(X1,rd(rd(X0,X0),X0))),
inference(superposition,[],[f4,f1365]) ).
fof(f5932,plain,
! [X0,X1] : rd(rd(mult(X1,X0),mult(X1,X0)),mult(X1,X0)) = rd(rd(X0,X0),mult(X0,mult(ld(X0,X1),X0))),
inference(superposition,[],[f1510,f1299]) ).
fof(f5939,plain,
! [X2,X0,X1] : rd(ld(X0,ld(X1,ld(X0,X2))),X2) = rd(rd(X0,X0),mult(X0,mult(ld(X0,mult(X0,X1)),X0))),
inference(backward_demodulation,[],[f1515,f5932]) ).
fof(f5998,plain,
! [X2,X0,X1] : rd(ld(X0,ld(X1,ld(X0,X2))),X2) = rd(rd(X0,X0),mult(X0,mult(X1,X0))),
inference(forward_demodulation,[],[f5939,f2]) ).
fof(f6112,plain,
! [X0] : ld(x0,mult(X0,rd(sF0,rd(sF0,sF1)))) = mult(ld(x0,rd(X0,x0)),mult(sF1,x0)),
inference(superposition,[],[f149,f4070]) ).
fof(f6919,plain,
! [X0,X1] : ld(X0,rd(mult(X0,X1),X0)) = mult(X1,rd(rd(X0,X0),X0)),
inference(superposition,[],[f2,f5627]) ).
fof(f7159,plain,
! [X0,X1] : mult(X1,rd(rd(rd(X0,X1),rd(X0,X1)),rd(X0,X1))) = ld(rd(X0,X1),rd(X0,rd(X0,X1))),
inference(superposition,[],[f6919,f3]) ).
fof(f7167,plain,
ld(x0,rd(sF1,x0)) = mult(sF0,rd(rd(x0,x0),x0)),
inference(superposition,[],[f6919,f11]) ).
fof(f7229,plain,
ld(x0,rd(sF1,x0)) = mult(sF0,rd(sF0,sF1)),
inference(forward_demodulation,[],[f7167,f1516]) ).
fof(f7237,plain,
! [X0,X1] : mult(X1,rd(rd(rd(X0,X1),rd(X0,X1)),rd(X0,X1))) = mult(rd(X1,X0),rd(X0,rd(X0,X1))),
inference(forward_demodulation,[],[f7159,f4667]) ).
fof(f7275,plain,
! [X0,X1] : mult(rd(X1,X0),rd(X0,rd(X0,X1))) = mult(X1,rd(mult(rd(X0,X1),rd(X1,X0)),rd(X0,X1))),
inference(forward_demodulation,[],[f7237,f800]) ).
fof(f7311,plain,
! [X0,X1] : mult(rd(X1,X0),rd(X0,rd(X0,X1))) = mult(X1,mult(rd(X0,X1),mult(rd(X1,X0),rd(X1,X0)))),
inference(forward_demodulation,[],[f7275,f5561]) ).
fof(f7336,plain,
! [X0,X1] : mult(X1,rd(X1,X0)) = mult(rd(X1,X0),rd(X0,rd(X0,X1))),
inference(forward_demodulation,[],[f7311,f4980]) ).
fof(f12672,plain,
! [X0] : ld(x0,rd(sF0,x0)) = rd(ld(mult(sF1,x0),X0),X0),
inference(superposition,[],[f4,f942]) ).
fof(f12685,plain,
! [X0] : rd(ld(x0,rd(sF0,x0)),ld(x0,rd(sF0,x0))) = mult(ld(x0,rd(sF0,x0)),rd(X0,ld(mult(sF1,x0),X0))),
inference(superposition,[],[f768,f942]) ).
fof(f12757,plain,
! [X0] : rd(ld(x0,rd(sF0,x0)),ld(x0,rd(sF0,x0))) = ld(mult(sF1,x0),rd(X0,ld(mult(sF1,x0),X0))),
inference(forward_demodulation,[],[f12685,f942]) ).
fof(f12825,plain,
ld(mult(sF1,x0),mult(sF1,x0)) = rd(ld(x0,rd(sF0,x0)),ld(x0,rd(sF0,x0))),
inference(forward_demodulation,[],[f12757,f33]) ).
fof(f12891,plain,
ld(mult(sF1,x0),mult(sF1,x0)) = mult(x0,ld(mult(rd(sF0,x0),x0),rd(sF0,x0))),
inference(forward_demodulation,[],[f12825,f1307]) ).
fof(f12949,plain,
ld(mult(sF1,x0),mult(sF1,x0)) = mult(x0,ld(sF0,rd(sF0,x0))),
inference(forward_demodulation,[],[f12891,f3]) ).
fof(f12997,plain,
ld(mult(sF1,x0),mult(sF1,x0)) = mult(x0,mult(sF0,rd(sF0,x0))),
inference(forward_demodulation,[],[f12949,f917]) ).
fof(f13038,plain,
rd(mult(sF1,x0),mult(sF1,x0)) = mult(x0,mult(sF0,rd(sF0,x0))),
inference(forward_demodulation,[],[f12997,f1273]) ).
fof(f14934,plain,
! [X0,X1] : rd(rd(X0,X0),X0) = ld(ld(X0,X1),ld(X0,rd(X1,X0))),
inference(superposition,[],[f2,f1362]) ).
fof(f14987,plain,
! [X0,X1] : rd(rd(X0,X0),X0) = mult(X0,ld(mult(X1,X0),rd(X1,X0))),
inference(forward_demodulation,[],[f14934,f240]) ).
fof(f15092,plain,
! [X0,X1] : rd(rd(ld(X1,X0),ld(X1,X0)),ld(X1,X0)) = mult(ld(X1,X0),ld(X0,rd(X1,ld(X1,X0)))),
inference(superposition,[],[f14987,f1]) ).
fof(f15406,plain,
! [X0,X1] : mult(ld(X1,X0),ld(X0,rd(X1,ld(X1,X0)))) = rd(mult(X1,ld(mult(X0,X1),X0)),ld(X1,X0)),
inference(forward_demodulation,[],[f15092,f1307]) ).
fof(f15512,plain,
! [X0,X1] : mult(ld(X1,X0),ld(X0,rd(X1,ld(X1,X0)))) = mult(mult(X1,rd(ld(mult(X0,X1),X0),X0)),X1),
inference(forward_demodulation,[],[f15406,f377]) ).
fof(f21785,plain,
! [X0] : mult(sF0,ld(sF1,mult(sF0,X0))) = ld(ld(sF0,x0),X0),
inference(superposition,[],[f1200,f36]) ).
fof(f21895,plain,
! [X0] : ld(mult(sF0,x0),X0) = mult(sF0,ld(sF1,mult(sF0,X0))),
inference(forward_demodulation,[],[f21785,f917]) ).
fof(f24329,plain,
! [X2,X0,X1] : ld(X0,ld(ld(X0,X1),X2)) = ld(mult(X1,X0),mult(X0,X2)),
inference(superposition,[],[f2,f417]) ).
fof(f24844,plain,
! [X0] : ld(sF1,mult(sF0,X0)) = ld(sF0,ld(ld(sF0,x0),X0)),
inference(superposition,[],[f24329,f11]) ).
fof(f25017,plain,
! [X0] : ld(sF1,mult(sF0,X0)) = mult(sF0,ld(ld(sF0,x0),X0)),
inference(forward_demodulation,[],[f24844,f917]) ).
fof(f25100,plain,
! [X0] : mult(sF0,ld(mult(sF0,x0),X0)) = ld(sF1,mult(sF0,X0)),
inference(forward_demodulation,[],[f25017,f917]) ).
fof(f25239,plain,
mult(sF0,rd(mult(sF0,x0),mult(sF0,x0))) = ld(sF1,mult(sF0,mult(sF0,x0))),
inference(superposition,[],[f25100,f1273]) ).
fof(f25314,plain,
mult(sF0,rd(mult(sF0,x0),mult(sF0,x0))) = ld(sF1,x0),
inference(forward_demodulation,[],[f25239,f906]) ).
fof(f25603,plain,
! [X2,X0,X1] : rd(rd(X1,X2),X0) = mult(X0,rd(ld(X0,X1),mult(X0,X2))),
inference(superposition,[],[f1,f719]) ).
fof(f25634,plain,
! [X2,X3,X0,X1] : rd(ld(rd(X0,X1),X2),mult(rd(X0,X1),X3)) = mult(rd(X1,X0),rd(rd(X2,X3),rd(X0,X1))),
inference(superposition,[],[f4667,f719]) ).
fof(f25637,plain,
! [X0,X1] : mult(sF0,rd(rd(X0,X1),sF0)) = rd(ld(sF0,X0),mult(sF0,X1)),
inference(superposition,[],[f917,f719]) ).
fof(f25638,plain,
! [X0,X1] : mult(sF0,rd(rd(X0,X1),sF0)) = rd(mult(sF0,X0),mult(sF0,X1)),
inference(forward_demodulation,[],[f25637,f917]) ).
fof(f25640,plain,
! [X2,X3,X0,X1] : mult(rd(X1,X0),rd(rd(X2,X3),rd(X0,X1))) = rd(mult(rd(X1,X0),X2),mult(rd(X0,X1),X3)),
inference(forward_demodulation,[],[f25634,f4667]) ).
fof(f25740,plain,
ld(sF1,x0) = mult(sF0,mult(sF0,rd(rd(x0,x0),sF0))),
inference(backward_demodulation,[],[f25314,f25638]) ).
fof(f25778,plain,
ld(sF1,x0) = rd(rd(x0,x0),sF0),
inference(forward_demodulation,[],[f25740,f906]) ).
fof(f25907,plain,
! [X2,X0,X1] : rd(rd(X1,ld(X2,X0)),X2) = mult(X2,rd(ld(X2,X1),X0)),
inference(superposition,[],[f25603,f1]) ).
fof(f26365,plain,
mult(rd(x0,x0),sF0) = rd(ld(sF1,x0),sF0),
inference(superposition,[],[f2066,f25778]) ).
fof(f26366,plain,
rd(x0,x0) = mult(ld(sF1,x0),sF0),
inference(superposition,[],[f3,f25778]) ).
fof(f26371,plain,
! [X0] : mult(rd(sF0,rd(x0,x0)),X0) = ld(ld(sF1,x0),X0),
inference(superposition,[],[f4667,f25778]) ).
fof(f26401,plain,
sF0 = ld(ld(sF1,x0),rd(x0,x0)),
inference(superposition,[],[f2,f26366]) ).
fof(f26419,plain,
rd(sF0,rd(rd(ld(sF1,x0),ld(sF1,x0)),ld(sF1,x0))) = ld(ld(sF1,x0),mult(rd(x0,x0),ld(sF1,x0))),
inference(superposition,[],[f1367,f26366]) ).
fof(f26444,plain,
ld(ld(sF1,x0),mult(rd(x0,x0),ld(sF1,x0))) = rd(sF0,rd(mult(sF1,ld(mult(x0,sF1),x0)),ld(sF1,x0))),
inference(forward_demodulation,[],[f26419,f1307]) ).
fof(f26458,plain,
ld(ld(sF1,x0),mult(rd(x0,x0),ld(sF1,x0))) = rd(sF0,mult(mult(sF1,rd(ld(mult(x0,sF1),x0),x0)),sF1)),
inference(forward_demodulation,[],[f26444,f377]) ).
fof(f26467,plain,
ld(ld(sF1,x0),mult(rd(x0,x0),ld(sF1,x0))) = rd(sF0,mult(ld(sF1,x0),ld(x0,rd(sF1,ld(sF1,x0))))),
inference(forward_demodulation,[],[f26458,f15512]) ).
fof(f26486,plain,
! [X0] : rd(sF0,rd(x0,x0)) = rd(ld(ld(sF1,x0),X0),X0),
inference(superposition,[],[f1054,f26401]) ).
fof(f26490,plain,
rd(sF0,rd(x0,x0)) = rd(rd(ld(sF1,x0),ld(sF1,x0)),ld(sF1,x0)),
inference(superposition,[],[f1418,f26401]) ).
fof(f26504,plain,
rd(sF0,rd(x0,x0)) = rd(mult(sF1,ld(mult(x0,sF1),x0)),ld(sF1,x0)),
inference(forward_demodulation,[],[f26490,f1307]) ).
fof(f26513,plain,
rd(sF0,rd(x0,x0)) = mult(mult(sF1,rd(ld(mult(x0,sF1),x0),x0)),sF1),
inference(forward_demodulation,[],[f26504,f377]) ).
fof(f26519,plain,
rd(sF0,rd(x0,x0)) = mult(ld(sF1,x0),ld(x0,rd(sF1,ld(sF1,x0)))),
inference(forward_demodulation,[],[f26513,f15512]) ).
fof(f26525,plain,
rd(sF0,rd(sF0,rd(x0,x0))) = ld(ld(sF1,x0),mult(rd(x0,x0),ld(sF1,x0))),
inference(backward_demodulation,[],[f26467,f26519]) ).
fof(f34932,plain,
rd(mult(rd(x0,x0),sF0),mult(rd(x0,x0),sF0)) = mult(mult(rd(x0,x0),sF0),rd(sF0,ld(sF1,x0))),
inference(superposition,[],[f800,f26365]) ).
fof(f34995,plain,
! [X0,X1] : mult(rd(X0,X1),rd(X1,X0)) = mult(mult(rd(X0,X1),rd(X1,X0)),mult(rd(X0,X1),rd(X1,X0))),
inference(superposition,[],[f3124,f800]) ).
fof(f35050,plain,
! [X0,X1] : mult(rd(X0,X1),rd(X1,X0)) = mult(rd(X1,X0),mult(mult(rd(X0,X1),rd(X0,X1)),rd(X1,X0))),
inference(forward_demodulation,[],[f34995,f5012]) ).
fof(f35104,plain,
mult(mult(rd(x0,x0),sF0),rd(sF0,ld(sF1,x0))) = mult(rd(x0,x0),rd(rd(sF0,sF0),rd(x0,x0))),
inference(forward_demodulation,[],[f34932,f25640]) ).
fof(f35144,plain,
! [X0,X1] : mult(rd(X0,X1),rd(X1,X0)) = mult(rd(X1,X0),rd(X0,X1)),
inference(forward_demodulation,[],[f35050,f3062]) ).
fof(f35184,plain,
mult(mult(rd(x0,x0),sF0),rd(sF0,ld(sF1,x0))) = mult(rd(x0,x0),rd(sF0,rd(x0,x0))),
inference(forward_demodulation,[],[f35104,f2006]) ).
fof(f37234,plain,
! [X2,X3,X0,X1] : mult(rd(X1,ld(X0,X2)),ld(X0,X3)) = mult(X0,mult(ld(X0,mult(X0,rd(ld(X0,X1),X2))),X3)),
inference(superposition,[],[f641,f25907]) ).
fof(f37487,plain,
! [X2,X3,X0,X1] : mult(rd(X1,ld(X0,X2)),ld(X0,X3)) = mult(X0,mult(rd(ld(X0,X1),X2),X3)),
inference(forward_demodulation,[],[f37234,f2]) ).
fof(f49701,plain,
ld(mult(sF0,x0),sF0) = mult(sF0,ld(sF1,sF0)),
inference(superposition,[],[f21895,f2005]) ).
fof(f51566,plain,
! [X0] : mult(ld(X0,rd(sF0,X0)),rd(mult(X0,x1),ld(X0,x1))) = mult(rd(mult(X0,x1),ld(X0,x1)),ld(X0,rd(sF0,X0))),
inference(superposition,[],[f35144,f723]) ).
fof(f51567,plain,
! [X0] : mult(ld(X0,rd(sF0,X0)),rd(mult(X0,x1),ld(X0,x1))) = mult(X0,mult(rd(ld(X0,mult(X0,x1)),x1),rd(sF0,X0))),
inference(forward_demodulation,[],[f51566,f37487]) ).
fof(f51617,plain,
! [X0] : mult(ld(X0,rd(sF0,X0)),rd(mult(X0,x1),ld(X0,x1))) = mult(X0,mult(rd(x1,x1),rd(sF0,X0))),
inference(forward_demodulation,[],[f51567,f2]) ).
fof(f51660,plain,
! [X0] : mult(ld(X0,rd(sF0,X0)),rd(mult(X0,x1),ld(X0,x1))) = mult(X0,mult(sF0,rd(sF0,X0))),
inference(forward_demodulation,[],[f51617,f9]) ).
fof(f51688,plain,
! [X0] : mult(ld(X0,rd(sF0,X0)),mult(mult(X0,rd(x1,x1)),X0)) = mult(X0,mult(sF0,rd(sF0,X0))),
inference(forward_demodulation,[],[f51660,f377]) ).
fof(f51708,plain,
! [X0] : mult(ld(X0,rd(sF0,X0)),mult(mult(X0,sF0),X0)) = mult(X0,mult(sF0,rd(sF0,X0))),
inference(forward_demodulation,[],[f51688,f9]) ).
fof(f51819,plain,
! [X0] : mult(mult(X0,sF0),X0) = ld(ld(X0,rd(sF0,X0)),mult(X0,mult(sF0,rd(sF0,X0)))),
inference(superposition,[],[f2,f51708]) ).
fof(f51900,plain,
! [X0] : mult(mult(X0,sF0),X0) = mult(X0,ld(sF0,mult(X0,mult(X0,mult(sF0,rd(sF0,X0)))))),
inference(forward_demodulation,[],[f51819,f1200]) ).
fof(f51993,plain,
! [X0] : mult(mult(X0,sF0),X0) = mult(X0,mult(sF0,mult(X0,mult(X0,mult(sF0,rd(sF0,X0)))))),
inference(forward_demodulation,[],[f51900,f917]) ).
fof(f52611,plain,
mult(mult(rd(sF0,sF1),sF0),rd(sF0,sF1)) = ld(x0,mult(sF0,mult(rd(sF0,sF1),mult(rd(sF0,sF1),mult(sF0,rd(sF0,rd(sF0,sF1))))))),
inference(superposition,[],[f4952,f51993]) ).
fof(f52650,plain,
mult(mult(rd(sF0,sF1),sF0),rd(sF0,sF1)) = ld(x0,mult(sF0,ld(x0,mult(rd(sF0,sF1),mult(sF0,rd(sF0,rd(sF0,sF1))))))),
inference(forward_demodulation,[],[f52611,f4952]) ).
fof(f52807,plain,
mult(mult(rd(sF0,sF1),sF0),rd(sF0,sF1)) = mult(ld(x0,rd(sF0,x0)),mult(rd(sF0,sF1),mult(sF0,rd(sF0,rd(sF0,sF1))))),
inference(forward_demodulation,[],[f52650,f681]) ).
fof(f52951,plain,
mult(mult(rd(sF0,sF1),sF0),rd(sF0,sF1)) = ld(mult(sF1,x0),mult(rd(sF0,sF1),mult(sF0,rd(sF0,rd(sF0,sF1))))),
inference(forward_demodulation,[],[f52807,f942]) ).
fof(f53071,plain,
mult(mult(rd(sF0,sF1),sF0),rd(sF0,sF1)) = ld(mult(sF1,x0),ld(x0,mult(sF0,rd(sF0,rd(sF0,sF1))))),
inference(forward_demodulation,[],[f52951,f4952]) ).
fof(f53174,plain,
mult(mult(rd(sF0,sF1),sF0),rd(sF0,sF1)) = ld(mult(sF1,x0),mult(ld(x0,rd(sF0,x0)),mult(sF1,x0))),
inference(forward_demodulation,[],[f53071,f6112]) ).
fof(f53262,plain,
mult(mult(rd(sF0,sF1),sF0),rd(sF0,sF1)) = ld(mult(sF1,x0),ld(mult(sF1,x0),mult(sF1,x0))),
inference(forward_demodulation,[],[f53174,f942]) ).
fof(f53342,plain,
ld(mult(sF1,x0),rd(mult(sF1,x0),mult(sF1,x0))) = mult(mult(rd(sF0,sF1),sF0),rd(sF0,sF1)),
inference(forward_demodulation,[],[f53262,f1273]) ).
fof(f53414,plain,
ld(mult(sF1,x0),rd(mult(sF1,x0),mult(sF1,x0))) = mult(rd(sF0,sF1),rd(sF0,rd(sF1,sF0))),
inference(forward_demodulation,[],[f53342,f4880]) ).
fof(f53478,plain,
ld(mult(sF1,x0),rd(mult(sF1,x0),mult(sF1,x0))) = ld(x0,rd(sF0,rd(sF1,sF0))),
inference(forward_demodulation,[],[f53414,f4952]) ).
fof(f53518,plain,
ld(x0,rd(sF0,x0)) = ld(mult(sF1,x0),rd(mult(sF1,x0),mult(sF1,x0))),
inference(forward_demodulation,[],[f53478,f36]) ).
fof(f53551,plain,
ld(x0,rd(sF0,x0)) = rd(rd(mult(sF1,x0),mult(sF1,x0)),mult(sF1,x0)),
inference(forward_demodulation,[],[f53518,f1339]) ).
fof(f53574,plain,
ld(x0,rd(sF0,x0)) = rd(rd(x0,x0),mult(x0,mult(ld(x0,sF1),x0))),
inference(forward_demodulation,[],[f53551,f5932]) ).
fof(f53591,plain,
ld(x0,rd(sF0,x0)) = rd(rd(x0,x0),mult(x0,mult(sF0,x0))),
inference(forward_demodulation,[],[f53574,f13]) ).
fof(f59086,plain,
! [X0,X1] : rd(ld(x0,ld(X0,ld(x0,X1))),X1) = rd(ld(x0,ld(X0,sF0)),sF1),
inference(superposition,[],[f2502,f13]) ).
fof(f59286,plain,
! [X0] : rd(ld(x0,ld(X0,sF0)),sF1) = rd(rd(x0,x0),mult(x0,mult(X0,x0))),
inference(forward_demodulation,[],[f59086,f5998]) ).
fof(f59385,plain,
ld(x0,rd(sF0,x0)) = rd(ld(x0,ld(sF0,sF0)),sF1),
inference(backward_demodulation,[],[f53591,f59286]) ).
fof(f59457,plain,
ld(x0,rd(sF0,x0)) = rd(ld(x0,rd(sF0,sF0)),sF1),
inference(forward_demodulation,[],[f59385,f1273]) ).
fof(f59509,plain,
ld(x0,rd(sF0,x0)) = rd(ld(x0,sF0),sF1),
inference(forward_demodulation,[],[f59457,f2006]) ).
fof(f59537,plain,
! [X0] : ld(mult(sF1,x0),X0) = mult(rd(ld(x0,sF0),sF1),X0),
inference(backward_demodulation,[],[f942,f59509]) ).
fof(f59538,plain,
! [X0] : rd(ld(mult(sF1,x0),X0),X0) = rd(ld(x0,sF0),sF1),
inference(backward_demodulation,[],[f12672,f59509]) ).
fof(f59838,plain,
! [X0,X1] : rd(X0,ld(mult(sF1,x0),X0)) = rd(X1,mult(rd(ld(x0,sF0),sF1),X1)),
inference(superposition,[],[f4963,f59538]) ).
fof(f59883,plain,
! [X0] : rd(X0,ld(mult(sF1,x0),X0)) = rd(sF1,ld(x0,sF0)),
inference(forward_demodulation,[],[f59838,f4963]) ).
fof(f59951,plain,
mult(sF1,x0) = rd(sF1,ld(x0,sF0)),
inference(forward_demodulation,[],[f59883,f33]) ).
fof(f68725,plain,
rd(mult(sF0,rd(sF0,sF1)),mult(sF0,rd(sF0,sF1))) = mult(x0,ld(mult(rd(sF1,x0),x0),rd(sF1,x0))),
inference(superposition,[],[f1307,f7229]) ).
fof(f68857,plain,
rd(mult(sF0,rd(sF0,sF1)),mult(sF0,rd(sF0,sF1))) = mult(x0,ld(sF1,rd(sF1,x0))),
inference(forward_demodulation,[],[f68725,f3]) ).
fof(f68922,plain,
mult(x0,ld(sF1,rd(sF1,x0))) = mult(sF0,rd(rd(rd(sF0,sF1),rd(sF0,sF1)),sF0)),
inference(forward_demodulation,[],[f68857,f25638]) ).
fof(f68964,plain,
mult(x0,ld(sF1,rd(sF1,x0))) = mult(sF0,rd(mult(rd(sF0,sF1),rd(sF1,sF0)),sF0)),
inference(forward_demodulation,[],[f68922,f800]) ).
fof(f68999,plain,
mult(x0,ld(sF1,rd(sF1,x0))) = mult(sF0,rd(ld(x0,rd(sF1,sF0)),sF0)),
inference(forward_demodulation,[],[f68964,f4952]) ).
fof(f69019,plain,
mult(x0,ld(sF1,rd(sF1,x0))) = mult(sF0,rd(ld(x0,x0),sF0)),
inference(forward_demodulation,[],[f68999,f36]) ).
fof(f69037,plain,
mult(sF0,rd(rd(x0,x0),sF0)) = mult(x0,ld(sF1,rd(sF1,x0))),
inference(forward_demodulation,[],[f69019,f1273]) ).
fof(f69050,plain,
mult(sF0,ld(sF1,x0)) = mult(x0,ld(sF1,rd(sF1,x0))),
inference(forward_demodulation,[],[f69037,f25778]) ).
fof(f70013,plain,
mult(mult(sF1,x0),ld(sF1,rd(sF1,x0))) = mult(x0,mult(sF0,mult(sF0,ld(sF1,x0)))),
inference(superposition,[],[f19,f69050]) ).
fof(f70018,plain,
! [X0] : mult(mult(X0,x0),ld(sF1,rd(sF1,x0))) = mult(x0,mult(ld(x0,X0),mult(sF0,ld(sF1,x0)))),
inference(superposition,[],[f16,f69050]) ).
fof(f70101,plain,
mult(x0,ld(sF1,x0)) = mult(mult(sF1,x0),ld(sF1,rd(sF1,x0))),
inference(forward_demodulation,[],[f70013,f906]) ).
fof(f70278,plain,
! [X2,X0,X1] : mult(mult(rd(X0,X1),rd(X1,X2)),rd(X0,X1)) = rd(X0,ld(rd(X0,X1),X2)),
inference(superposition,[],[f377,f3]) ).
fof(f70505,plain,
! [X2,X0,X1] : rd(X0,mult(rd(X1,X0),X2)) = mult(mult(rd(X0,X1),rd(X1,X2)),rd(X0,X1)),
inference(forward_demodulation,[],[f70278,f4667]) ).
fof(f70605,plain,
! [X2,X0,X1] : rd(X0,mult(rd(X1,X0),X2)) = mult(rd(X0,X1),rd(rd(X1,X2),rd(X1,X0))),
inference(forward_demodulation,[],[f70505,f4880]) ).
fof(f71156,plain,
! [X0,X1] : mult(rd(X1,X0),rd(X0,rd(X0,X1))) = rd(X1,mult(rd(X0,X1),rd(X0,X0))),
inference(superposition,[],[f70605,f1298]) ).
fof(f71224,plain,
! [X0] : mult(rd(X0,sF0),rd(sF0,rd(sF0,X0))) = rd(X0,mult(rd(sF0,X0),sF0)),
inference(superposition,[],[f70605,f2006]) ).
fof(f71586,plain,
! [X0] : mult(X0,rd(X0,sF0)) = rd(X0,mult(rd(sF0,X0),sF0)),
inference(forward_demodulation,[],[f71224,f7336]) ).
fof(f71608,plain,
! [X0,X1] : mult(X1,rd(X1,X0)) = rd(X1,mult(rd(X0,X1),rd(X0,X0))),
inference(forward_demodulation,[],[f71156,f7336]) ).
fof(f72200,plain,
mult(rd(x0,x0),rd(rd(x0,x0),sF0)) = rd(rd(x0,x0),ld(ld(sF1,x0),sF0)),
inference(superposition,[],[f71586,f26371]) ).
fof(f72319,plain,
mult(rd(x0,x0),ld(sF1,x0)) = rd(rd(x0,x0),ld(ld(sF1,x0),sF0)),
inference(forward_demodulation,[],[f72200,f25778]) ).
fof(f73127,plain,
mult(sF0,rd(sF0,rd(x0,x0))) = rd(sF0,mult(ld(sF1,x0),rd(rd(x0,x0),rd(x0,x0)))),
inference(superposition,[],[f71608,f25778]) ).
fof(f73161,plain,
mult(sF1,rd(sF1,ld(x0,sF0))) = rd(sF1,ld(mult(sF1,x0),rd(ld(x0,sF0),ld(x0,sF0)))),
inference(superposition,[],[f71608,f59537]) ).
fof(f73287,plain,
mult(sF1,rd(sF1,ld(x0,sF0))) = rd(sF1,ld(mult(sF1,x0),mult(x0,ld(mult(sF0,x0),sF0)))),
inference(forward_demodulation,[],[f73161,f1307]) ).
fof(f73313,plain,
mult(sF0,rd(sF0,rd(x0,x0))) = rd(sF0,mult(ld(sF1,x0),mult(rd(x0,x0),rd(x0,x0)))),
inference(forward_demodulation,[],[f73127,f800]) ).
fof(f73421,plain,
mult(sF1,rd(sF1,ld(x0,sF0))) = rd(sF1,ld(x0,ld(ld(x0,sF1),ld(mult(sF0,x0),sF0)))),
inference(forward_demodulation,[],[f73287,f24329]) ).
fof(f73441,plain,
mult(sF0,rd(sF0,rd(x0,x0))) = rd(sF0,mult(ld(sF1,x0),rd(x0,x0))),
inference(forward_demodulation,[],[f73313,f3124]) ).
fof(f73529,plain,
mult(sF1,rd(sF1,ld(x0,sF0))) = rd(sF1,ld(x0,ld(ld(x0,sF1),mult(sF0,ld(sF1,sF0))))),
inference(forward_demodulation,[],[f73421,f49701]) ).
fof(f73619,plain,
mult(sF1,rd(sF1,ld(x0,sF0))) = rd(sF1,ld(x0,ld(sF0,mult(sF0,ld(sF1,sF0))))),
inference(forward_demodulation,[],[f73529,f13]) ).
fof(f73677,plain,
mult(sF1,rd(sF1,ld(x0,sF0))) = rd(sF1,ld(x0,ld(sF1,sF0))),
inference(forward_demodulation,[],[f73619,f2]) ).
fof(f73717,plain,
mult(sF1,rd(sF1,ld(x0,sF0))) = mult(mult(x0,sF1),x0),
inference(forward_demodulation,[],[f73677,f347]) ).
fof(f73740,plain,
mult(sF1,mult(sF1,x0)) = mult(mult(x0,sF1),x0),
inference(forward_demodulation,[],[f73717,f59951]) ).
fof(f73785,plain,
mult(ld(sF1,x0),mult(sF1,x0)) = ld(sF1,mult(sF1,mult(sF1,x0))),
inference(superposition,[],[f135,f73740]) ).
fof(f73853,plain,
mult(sF1,x0) = mult(ld(sF1,x0),mult(sF1,x0)),
inference(forward_demodulation,[],[f73785,f2]) ).
fof(f73900,plain,
rd(mult(sF1,x0),mult(sF1,x0)) = ld(sF1,x0),
inference(superposition,[],[f4,f73853]) ).
fof(f73918,plain,
! [X0] : rd(mult(sF1,x0),mult(sF1,x0)) = rd(ld(ld(sF1,x0),X0),X0),
inference(superposition,[],[f1066,f73853]) ).
fof(f73919,plain,
! [X0] : ld(ld(sF1,x0),X0) = mult(rd(mult(sF1,x0),mult(sF1,x0)),X0),
inference(superposition,[],[f1114,f73853]) ).
fof(f73977,plain,
! [X0] : mult(mult(x0,mult(sF0,rd(sF0,x0))),X0) = ld(ld(sF1,x0),X0),
inference(forward_demodulation,[],[f73919,f13038]) ).
fof(f73978,plain,
rd(mult(sF1,x0),mult(sF1,x0)) = rd(sF0,rd(x0,x0)),
inference(forward_demodulation,[],[f73918,f26486]) ).
fof(f73987,plain,
mult(x0,mult(sF0,rd(sF0,x0))) = ld(sF1,x0),
inference(backward_demodulation,[],[f13038,f73900]) ).
fof(f74031,plain,
ld(sF1,x0) = rd(sF0,rd(x0,x0)),
inference(forward_demodulation,[],[f73978,f73900]) ).
fof(f74064,plain,
! [X0] : mult(ld(sF1,x0),X0) = ld(ld(sF1,x0),X0),
inference(backward_demodulation,[],[f73977,f73987]) ).
fof(f74109,plain,
ld(ld(sF1,x0),mult(rd(x0,x0),ld(sF1,x0))) = rd(sF0,ld(sF1,x0)),
inference(backward_demodulation,[],[f26525,f74031]) ).
fof(f74134,plain,
mult(rd(x0,x0),ld(sF1,x0)) = mult(mult(rd(x0,x0),sF0),rd(sF0,ld(sF1,x0))),
inference(backward_demodulation,[],[f35184,f74031]) ).
fof(f74149,plain,
mult(sF0,ld(sF1,x0)) = rd(sF0,mult(ld(sF1,x0),rd(x0,x0))),
inference(backward_demodulation,[],[f73441,f74031]) ).
fof(f74196,plain,
sF0 = mult(ld(sF1,x0),rd(x0,x0)),
inference(backward_demodulation,[],[f26401,f74064]) ).
fof(f74201,plain,
mult(rd(x0,x0),ld(sF1,x0)) = rd(rd(x0,x0),mult(ld(sF1,x0),sF0)),
inference(backward_demodulation,[],[f72319,f74064]) ).
fof(f74281,plain,
rd(sF0,ld(sF1,x0)) = mult(ld(sF1,x0),mult(rd(x0,x0),ld(sF1,x0))),
inference(forward_demodulation,[],[f74109,f74064]) ).
fof(f74290,plain,
mult(rd(x0,x0),ld(sF1,x0)) = rd(rd(x0,x0),rd(x0,x0)),
inference(forward_demodulation,[],[f74201,f26366]) ).
fof(f74292,plain,
rd(sF0,sF0) = mult(sF0,ld(sF1,x0)),
inference(backward_demodulation,[],[f74149,f74196]) ).
fof(f74353,plain,
mult(rd(x0,x0),rd(x0,x0)) = mult(rd(x0,x0),ld(sF1,x0)),
inference(forward_demodulation,[],[f74290,f800]) ).
fof(f74354,plain,
sF0 = mult(sF0,ld(sF1,x0)),
inference(forward_demodulation,[],[f74292,f2006]) ).
fof(f74387,plain,
rd(x0,x0) = mult(rd(x0,x0),ld(sF1,x0)),
inference(forward_demodulation,[],[f74353,f3124]) ).
fof(f74399,plain,
! [X0] : mult(mult(X0,x0),ld(sF1,rd(sF1,x0))) = mult(x0,mult(ld(x0,X0),sF0)),
inference(backward_demodulation,[],[f70018,f74354]) ).
fof(f74453,plain,
rd(x0,x0) = mult(mult(rd(x0,x0),sF0),rd(sF0,ld(sF1,x0))),
inference(backward_demodulation,[],[f74134,f74387]) ).
fof(f74457,plain,
rd(sF0,ld(sF1,x0)) = mult(ld(sF1,x0),rd(x0,x0)),
inference(backward_demodulation,[],[f74281,f74387]) ).
fof(f74470,plain,
mult(x0,ld(sF1,x0)) = mult(x0,mult(ld(x0,sF1),sF0)),
inference(backward_demodulation,[],[f70101,f74399]) ).
fof(f74508,plain,
sF0 = rd(sF0,ld(sF1,x0)),
inference(forward_demodulation,[],[f74457,f74196]) ).
fof(f74517,plain,
mult(x0,ld(sF1,x0)) = mult(x0,mult(sF0,sF0)),
inference(forward_demodulation,[],[f74470,f13]) ).
fof(f74550,plain,
rd(x0,x0) = mult(mult(rd(x0,x0),sF0),sF0),
inference(backward_demodulation,[],[f74453,f74508]) ).
fof(f74564,plain,
mult(x0,sF0) = mult(x0,ld(sF1,x0)),
inference(forward_demodulation,[],[f74517,f2005]) ).
fof(f74568,plain,
rd(x0,x0) = rd(rd(x0,x0),sF0),
inference(forward_demodulation,[],[f74550,f2051]) ).
fof(f74591,plain,
sF1 = mult(x0,ld(sF1,x0)),
inference(forward_demodulation,[],[f74564,f11]) ).
fof(f74596,plain,
rd(x0,x0) = ld(sF1,x0),
inference(backward_demodulation,[],[f25778,f74568]) ).
fof(f74810,plain,
sF1 = mult(x0,rd(x0,x0)),
inference(backward_demodulation,[],[f74591,f74596]) ).
fof(f74942,plain,
x0 = sF1,
inference(forward_demodulation,[],[f74810,f1296]) ).
fof(f75339,plain,
$false,
inference(forward_subsumption_resolution,[],[f74942,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP654-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:30:48 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 24.15/4.24 % (2889789)Detected a unit-equality problem, will run specialized UEQ schedule.
% 24.15/4.24 % (2889796)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2270167173:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 24.15/4.24 % (2889798)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2052164544:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 24.15/4.24 % (2889800)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=604677902:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 24.15/4.24 % (2889795)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=2923537718:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 24.15/4.24 % (2889797)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1848896757:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 24.15/4.24 % (2889799)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2785395224:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 24.15/4.24 % (2889794)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=2984901716:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 24.15/4.24 % (2889797)Instruction limit reached!
% 24.15/4.24 % (2889797)------------------------------
% 24.15/4.24 % (2889797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.15/4.24 % (2889797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.15/4.24 % (2889797)CaDiCaL version: 2.1.3
% 24.15/4.24 % (2889797)Termination reason: Instruction limit
% 24.15/4.24 % (2889797)Termination phase: Saturation
% 24.15/4.24 % (2889797)Time elapsed: 0.066 s
% 24.15/4.24 % (2889797)Peak memory usage: 89 MB
% 24.15/4.24 % (2889797)Instructions burned: 137 (million)
% 24.15/4.24 % (2889798)Instruction limit reached!
% 24.15/4.24 % (2889798)------------------------------
% 24.15/4.24 % (2889798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.15/4.24 % (2889798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.15/4.24 % (2889798)CaDiCaL version: 2.1.3
% 24.15/4.24 % (2889798)Termination reason: Instruction limit
% 24.15/4.24 % (2889798)Termination phase: Saturation
% 24.15/4.24 % (2889798)Time elapsed: 0.105 s
% 24.15/4.24 % (2889798)Peak memory usage: 89 MB
% 24.15/4.24 % (2889798)Instructions burned: 183 (million)
% 24.15/4.24 % (2889799)Instruction limit reached!
% 24.15/4.24 % (2889799)------------------------------
% 24.15/4.24 % (2889799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.15/4.24 % (2889799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.15/4.24 % (2889799)CaDiCaL version: 2.1.3
% 24.15/4.24 % (2889799)Termination reason: Instruction limit
% 24.15/4.24 % (2889799)Termination phase: Saturation
% 24.15/4.24 % (2889799)Time elapsed: 0.122 s
% 24.15/4.24 % (2889799)Peak memory usage: 90 MB
% 24.15/4.24 % (2889799)Instructions burned: 258 (million)
% 24.15/4.24 % (2889808)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2529074443:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 24.15/4.24 % (2889809)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=322561465:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 24.15/4.24 % (2889810)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=634029880:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 24.15/4.24 % (2889810)Instruction limit reached!
% 24.15/4.24 % (2889810)------------------------------
% 24.15/4.24 % (2889810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.15/4.24 % (2889810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.15/4.24 % (2889810)CaDiCaL version: 2.1.3
% 24.15/4.24 % (2889810)Termination reason: Instruction limit
% 24.15/4.24 % (2889810)Termination phase: Saturation
% 24.15/4.24 % (2889810)Time elapsed: 0.113 s
% 24.15/4.24 % (2889810)Peak memory usage: 90 MB
% 24.15/4.24 % (2889810)Instructions burned: 215 (million)
% 24.15/4.24 % (2889814)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=3735997741: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)
% 24.15/4.24 % (2889800)Instruction limit reached!
% 24.15/4.24 % (2889800)------------------------------
% 24.15/4.24 % (2889800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.15/4.24 % (2889800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.15/4.24 % (2889800)CaDiCaL version: 2.1.3
% 24.15/4.24 % (2889800)Termination reason: Instruction limit
% 24.15/4.24 % (2889800)Termination phase: Saturation
% 24.15/4.24 % (2889800)Time elapsed: 0.646 s
% 24.15/4.24 % (2889800)Peak memory usage: 101 MB
% 24.15/4.24 % (2889800)Instructions burned: 1187 (million)
% 24.15/4.24 % (2889814)Instruction limit reached!
% 24.15/4.24 % (2889814)------------------------------
% 24.15/4.24 % (2889814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.15/4.24 % (2889814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.15/4.24 % (2889814)CaDiCaL version: 2.1.3
% 24.15/4.24 % (2889814)Termination reason: Instruction limit
% 24.15/4.24 % (2889814)Termination phase: Saturation
% 24.15/4.24 % (2889814)Time elapsed: 0.188 s
% 24.15/4.24 % (2889814)Peak memory usage: 92 MB
% 24.15/4.24 % (2889814)Instructions burned: 317 (million)
% 24.15/4.24 % (2889816)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=879024322:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 24.15/4.24 % (2889817)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=4182846713:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 24.15/4.24 % (2889808)Instruction limit reached!
% 24.15/4.24 % (2889808)------------------------------
% 24.15/4.24 % (2889808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.15/4.24 % (2889808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.15/4.24 % (2889808)CaDiCaL version: 2.1.3
% 24.15/4.24 % (2889808)Termination reason: Instruction limit
% 24.15/4.24 % (2889808)Termination phase: Saturation
% 24.15/4.24 % (2889808)Time elapsed: 1.348 s
% 24.15/4.24 % (2889808)Peak memory usage: 140 MB
% 24.15/4.24 % (2889808)Instructions burned: 2053 (million)
% 24.15/4.24 % (2889820)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2904532736:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2982 on theBenchmark for (2982ds/14534Mi)
% 24.15/4.24 % (2889817)Instruction limit reached!
% 24.15/4.24 % (2889817)------------------------------
% 24.15/4.24 % (2889817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.15/4.24 % (2889817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.15/4.24 % (2889817)CaDiCaL version: 2.1.3
% 24.15/4.24 % (2889817)Termination reason: Instruction limit
% 24.15/4.24 % (2889817)Termination phase: Saturation
% 24.15/4.24 % (2889817)Time elapsed: 1.956 s
% 24.15/4.24 % (2889817)Peak memory usage: 122 MB
% 24.15/4.24 % (2889817)Instructions burned: 2836 (million)
% 24.15/4.24 % (2889796)First to succeed.
% 24.15/4.24 % (2889796)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2889789"
% 24.15/4.24 % (2889822)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=3274371146:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2969 on theBenchmark for (2969ds/11832Mi)
% 24.15/4.24 % (2889796)Refutation found. Thanks to Tanya!
% 24.15/4.24 % SZS status Unsatisfiable for theBenchmark
% 24.15/4.24 % SZS output start Proof for theBenchmark
% See solution above
% 24.61/4.44 % (2889796)------------------------------
% 24.61/4.44 % (2889796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.61/4.44 % (2889796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.61/4.44 % (2889796)CaDiCaL version: 2.1.3
% 24.61/4.44 % (2889796)Termination reason: Refutation
% 24.61/4.44 % (2889796)Time elapsed: 3.077 s
% 24.61/4.44 % (2889796)Peak memory usage: 196 MB
% 24.61/4.44 % (2889796)Instructions burned: 8884 (million)
% 24.61/4.44 % (2889796)------------------------------
% 24.61/4.44 % (2889796)------------------------------
% 24.61/4.44 % (2889789)Success in time 3.388 s
% 24.61/4.44 % Vampire exiting
%------------------------------------------------------------------------------