%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP664-11 : 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 : n020.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 10:15:30 AM UTC 2026
% Result : Unsatisfiable 61.90s 16.63s
% Output : Refutation 113.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 10
% Syntax : Number of formulae : 242 ( 242 unt; 0 def)
% Number of atoms : 242 ( 241 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 399 ( 399 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f8,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
fof(f9,negated_conjecture,
mult(x0,x1) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal1) ).
fof(f10,plain,
unit = mult(x0,x1),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
mult(mult(x2,mult(x1,x0)),x3) != mult(x2,mult(mult(x1,x0),x3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal2) ).
fof(f18,plain,
! [X2,X3,X0,X1] : mult(mult(X3,rd(mult(X0,X1),X0)),mult(X0,X2)) = mult(mult(X3,mult(X0,X2)),ld(mult(X0,X2),mult(X0,mult(X1,X2)))),
inference(superposition,[],[f8,f7]) ).
fof(f19,plain,
! [X2,X3,X0,X1] : mult(mult(rd(mult(X0,X1),X0),X3),mult(X0,X2)) = mult(mult(X0,mult(X1,X2)),ld(mult(X0,X2),mult(X3,mult(X0,X2)))),
inference(superposition,[],[f8,f7]) ).
fof(f20,plain,
! [X0] : mult(x0,mult(X0,x1)) = mult(rd(mult(x0,X0),x0),unit),
inference(superposition,[],[f7,f10]) ).
fof(f22,plain,
! [X0] : mult(mult(X0,x0),x1) = mult(mult(X0,x1),ld(x1,unit)),
inference(superposition,[],[f8,f10]) ).
fof(f23,plain,
! [X0] : mult(mult(x0,X0),x1) = mult(unit,ld(x1,mult(X0,x1))),
inference(superposition,[],[f8,f10]) ).
fof(f24,plain,
! [X0] : mult(mult(x0,X0),x1) = ld(x1,mult(X0,x1)),
inference(forward_demodulation,[],[f23,f6]) ).
fof(f25,plain,
! [X0] : mult(x0,mult(X0,x1)) = rd(mult(x0,X0),x0),
inference(forward_demodulation,[],[f20,f5]) ).
fof(f47,plain,
! [X2,X0,X1] : mult(X1,mult(X2,ld(X1,X0))) = mult(rd(mult(X1,X2),X1),X0),
inference(superposition,[],[f7,f1]) ).
fof(f48,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),X2)) = mult(rd(X0,X1),mult(X1,X2)),
inference(superposition,[],[f7,f1]) ).
fof(f49,plain,
! [X2,X0,X1] : mult(mult(X1,X2),ld(X2,X0)) = mult(mult(X1,ld(X2,X0)),ld(ld(X2,X0),X0)),
inference(superposition,[],[f8,f1]) ).
fof(f51,plain,
! [X0] : ld(unit,X0) = X0,
inference(superposition,[],[f6,f1]) ).
fof(f59,plain,
! [X2,X3,X0,X1] : mult(mult(X0,mult(X1,X2)),ld(mult(X0,X2),mult(X3,mult(X0,X2)))) = mult(mult(X0,mult(X1,ld(X0,X3))),mult(X0,X2)),
inference(backward_demodulation,[],[f19,f47]) ).
fof(f65,plain,
! [X2,X0,X1] : ld(X2,mult(X1,X2)) = ld(mult(X0,X2),mult(mult(X0,X1),X2)),
inference(superposition,[],[f2,f8]) ).
fof(f67,plain,
x1 = ld(x0,unit),
inference(superposition,[],[f2,f10]) ).
fof(f72,plain,
! [X2,X0,X1] : mult(mult(X1,X2),ld(X2,X0)) = mult(mult(X1,rd(X0,X2)),X2),
inference(superposition,[],[f8,f3]) ).
fof(f73,plain,
! [X2,X0,X1] : mult(X0,ld(X1,mult(X2,X1))) = mult(mult(rd(X0,X1),X2),X1),
inference(superposition,[],[f8,f3]) ).
fof(f74,plain,
! [X0] : rd(X0,unit) = X0,
inference(superposition,[],[f5,f3]) ).
fof(f76,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f77,plain,
! [X2,X0,X1] : mult(X0,X2) = rd(mult(mult(X0,X1),X2),ld(X2,mult(X1,X2))),
inference(superposition,[],[f4,f8]) ).
fof(f79,plain,
x0 = rd(unit,x1),
inference(superposition,[],[f4,f10]) ).
fof(f81,plain,
! [X2,X0,X1] : ld(ld(X1,X0),mult(X2,ld(X1,X0))) = ld(X0,mult(mult(X1,X2),ld(X1,X0))),
inference(superposition,[],[f65,f1]) ).
fof(f87,plain,
! [X2,X0,X1] : ld(X1,mult(ld(X2,X0),X1)) = ld(mult(X2,X1),mult(X0,X1)),
inference(superposition,[],[f65,f1]) ).
fof(f129,plain,
rd(unit,x0) = mult(x0,mult(x1,x1)),
inference(superposition,[],[f25,f10]) ).
fof(f131,plain,
! [X0] : mult(x0,mult(ld(x0,X0),x1)) = rd(X0,x0),
inference(superposition,[],[f25,f1]) ).
fof(f141,plain,
mult(mult(x0,x0),x1) = mult(unit,ld(x1,unit)),
inference(superposition,[],[f22,f10]) ).
fof(f148,plain,
ld(x1,unit) = mult(mult(x0,x0),x1),
inference(forward_demodulation,[],[f141,f6]) ).
fof(f162,plain,
! [X2,X0,X1] : mult(X0,rd(X2,X1)) = rd(mult(mult(X0,X1),ld(X1,X2)),X1),
inference(superposition,[],[f4,f72]) ).
fof(f181,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(X1,mult(ld(X1,mult(X0,X1)),X2)),
inference(superposition,[],[f48,f4]) ).
fof(f182,plain,
! [X0,X1] : mult(x0,mult(ld(x0,mult(x0,X0)),X1)) = mult(mult(x0,mult(X0,x1)),mult(x0,X1)),
inference(superposition,[],[f48,f25]) ).
fof(f184,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X2),ld(X1,X0))) = mult(rd(X2,X1),X0),
inference(superposition,[],[f48,f1]) ).
fof(f189,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(ld(rd(X0,X1),X2),X1)) = mult(rd(X2,rd(X0,X1)),X0),
inference(superposition,[],[f48,f3]) ).
fof(f202,plain,
! [X0,X1] : mult(mult(x0,mult(X0,x1)),mult(x0,X1)) = mult(x0,mult(X0,X1)),
inference(forward_demodulation,[],[f182,f2]) ).
fof(f251,plain,
! [X0,X1] : mult(x0,mult(rd(X0,x1),X1)) = mult(mult(x0,X0),mult(x0,X1)),
inference(superposition,[],[f202,f3]) ).
fof(f298,plain,
! [X2,X0,X1] : mult(rd(X0,X1),X2) = rd(mult(X0,X2),ld(X2,mult(X1,X2))),
inference(superposition,[],[f77,f3]) ).
fof(f410,plain,
! [X2,X0,X1] : rd(mult(X0,X1),X0) = rd(mult(X0,mult(X1,ld(X0,X2))),X2),
inference(superposition,[],[f4,f47]) ).
fof(f416,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = mult(X0,mult(X1,ld(X0,unit))),
inference(superposition,[],[f5,f47]) ).
fof(f447,plain,
! [X0] : mult(x0,mult(x1,X0)) = mult(x1,mult(ld(x1,unit),X0)),
inference(superposition,[],[f181,f10]) ).
fof(f449,plain,
! [X2,X0,X1] : mult(X2,X0) = mult(X1,mult(X2,ld(ld(X2,mult(X1,X2)),X0))),
inference(superposition,[],[f181,f1]) ).
fof(f453,plain,
! [X2,X0,X1] : mult(ld(X1,mult(X0,X1)),X2) = ld(X1,mult(X0,mult(X1,X2))),
inference(superposition,[],[f2,f181]) ).
fof(f502,plain,
! [X2,X0,X1] : mult(rd(X1,rd(X0,X2)),X2) = rd(mult(X1,X2),ld(X2,X0)),
inference(superposition,[],[f298,f3]) ).
fof(f604,plain,
! [X2,X0,X1] : ld(X1,mult(ld(rd(X0,X1),X2),X1)) = ld(X0,mult(X2,X1)),
inference(superposition,[],[f87,f3]) ).
fof(f689,plain,
! [X0,X1] : mult(mult(X1,X0),x1) = mult(mult(X1,x1),mult(mult(x0,X0),x1)),
inference(superposition,[],[f8,f24]) ).
fof(f692,plain,
! [X0] : mult(X0,x1) = mult(x1,mult(mult(x0,X0),x1)),
inference(superposition,[],[f1,f24]) ).
fof(f702,plain,
! [X0] : mult(ld(x0,X0),x1) = mult(x1,mult(X0,x1)),
inference(superposition,[],[f692,f1]) ).
fof(f721,plain,
! [X0] : rd(X0,x0) = mult(x0,mult(x1,mult(X0,x1))),
inference(backward_demodulation,[],[f131,f702]) ).
fof(f742,plain,
! [X0,X1] : mult(mult(X1,ld(x0,X0)),x1) = mult(mult(X1,x1),mult(X0,x1)),
inference(superposition,[],[f689,f1]) ).
fof(f799,plain,
! [X0,X1] : mult(ld(x0,X0),mult(x1,X1)) = mult(x1,mult(ld(x1,mult(x1,mult(X0,x1))),X1)),
inference(superposition,[],[f181,f702]) ).
fof(f800,plain,
! [X0,X1] : mult(ld(x0,X0),mult(x1,X1)) = mult(x1,mult(mult(X0,x1),X1)),
inference(forward_demodulation,[],[f799,f2]) ).
fof(f818,plain,
! [X0] : mult(x0,mult(x1,X0)) = rd(rd(X0,x1),x0),
inference(superposition,[],[f721,f3]) ).
fof(f828,plain,
! [X0] : mult(x1,mult(X0,x1)) = ld(x0,rd(X0,x0)),
inference(superposition,[],[f2,f721]) ).
fof(f873,plain,
! [X0,X1] : mult(X0,ld(x0,X1)) = rd(mult(mult(X0,x1),mult(X1,x1)),x1),
inference(superposition,[],[f4,f742]) ).
fof(f919,plain,
! [X0] : ld(x0,X0) = mult(x1,mult(mult(X0,x0),x1)),
inference(superposition,[],[f828,f4]) ).
fof(f937,plain,
! [X0] : ld(x0,rd(X0,x1)) = mult(x1,mult(X0,ld(x1,mult(x0,x1)))),
inference(superposition,[],[f919,f73]) ).
fof(f941,plain,
! [X0] : mult(mult(X0,x0),x1) = ld(x1,ld(x0,X0)),
inference(superposition,[],[f2,f919]) ).
fof(f953,plain,
! [X0] : ld(x0,rd(X0,x1)) = mult(x1,mult(X0,mult(mult(x0,x0),x1))),
inference(forward_demodulation,[],[f937,f24]) ).
fof(f958,plain,
! [X0] : ld(x0,rd(X0,x1)) = mult(x1,mult(X0,ld(x1,unit))),
inference(forward_demodulation,[],[f953,f148]) ).
fof(f960,plain,
! [X0] : ld(x0,rd(X0,x1)) = rd(mult(x1,X0),x1),
inference(forward_demodulation,[],[f958,f416]) ).
fof(f1023,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X2)),X2) = rd(mult(X2,mult(mult(X0,X1),X2)),mult(X1,X2)),
inference(superposition,[],[f410,f8]) ).
fof(f1461,plain,
! [X0,X1] : mult(rd(X0,x1),ld(x0,X1)) = rd(mult(X0,mult(X1,x1)),x1),
inference(superposition,[],[f873,f3]) ).
fof(f1600,plain,
! [X2,X0,X1] : ld(X1,mult(X2,X0)) = mult(ld(X1,mult(X2,X1)),ld(X1,X0)),
inference(superposition,[],[f453,f1]) ).
fof(f1624,plain,
! [X2,X0,X1] : ld(X1,X0) = mult(ld(X1,mult(rd(X0,mult(X1,X2)),X1)),X2),
inference(superposition,[],[f453,f3]) ).
fof(f1630,plain,
! [X0] : mult(ld(ld(x1,unit),mult(x1,ld(x1,unit))),X0) = ld(ld(x1,unit),mult(x0,mult(x1,X0))),
inference(superposition,[],[f453,f447]) ).
fof(f1645,plain,
! [X0] : ld(ld(x1,unit),mult(x0,mult(x1,X0))) = mult(ld(unit,mult(mult(x1,x1),ld(x1,unit))),X0),
inference(forward_demodulation,[],[f1630,f81]) ).
fof(f1661,plain,
! [X0] : ld(ld(x1,unit),mult(x0,mult(x1,X0))) = mult(mult(mult(x1,x1),ld(x1,unit)),X0),
inference(forward_demodulation,[],[f1645,f51]) ).
fof(f1669,plain,
! [X0] : ld(ld(x1,unit),mult(x0,mult(x1,X0))) = mult(mult(mult(x1,x0),x1),X0),
inference(forward_demodulation,[],[f1661,f22]) ).
fof(f1718,plain,
! [X0,X1] : mult(mult(ld(x0,mult(X0,x0)),x1),mult(X1,x1)) = mult(ld(x0,mult(X0,X1)),x1),
inference(superposition,[],[f742,f1600]) ).
fof(f1724,plain,
! [X2,X0,X1] : ld(X0,mult(X1,X0)) = rd(ld(X0,mult(X1,X2)),ld(X0,X2)),
inference(superposition,[],[f4,f1600]) ).
fof(f1748,plain,
! [X0,X1] : mult(mult(ld(x0,mult(X0,x0)),x1),mult(X1,x1)) = mult(x1,mult(mult(X0,X1),x1)),
inference(forward_demodulation,[],[f1718,f702]) ).
fof(f1772,plain,
! [X0,X1] : mult(x1,mult(mult(X0,X1),x1)) = mult(mult(x1,mult(mult(X0,x0),x1)),mult(X1,x1)),
inference(forward_demodulation,[],[f1748,f702]) ).
fof(f1787,plain,
! [X0,X1] : mult(ld(x0,X0),mult(X1,x1)) = mult(x1,mult(mult(X0,X1),x1)),
inference(forward_demodulation,[],[f1772,f919]) ).
fof(f1796,plain,
! [X0,X1] : mult(X0,mult(X1,x1)) = mult(x1,mult(mult(mult(x0,X0),X1),x1)),
inference(superposition,[],[f1787,f2]) ).
fof(f1873,plain,
! [X0,X1] : rd(mult(X0,mult(X1,x1)),x1) = ld(x0,rd(mult(mult(mult(x0,X0),X1),x1),x1)),
inference(superposition,[],[f960,f1796]) ).
fof(f1895,plain,
! [X0,X1] : rd(mult(X0,mult(X1,x1)),x1) = ld(x0,mult(mult(x0,X0),X1)),
inference(forward_demodulation,[],[f1873,f4]) ).
fof(f1907,plain,
! [X0,X1] : mult(rd(X0,x1),ld(x0,X1)) = ld(x0,mult(mult(x0,X0),X1)),
inference(forward_demodulation,[],[f1895,f1461]) ).
fof(f2014,plain,
! [X2,X0,X1] : mult(rd(X0,X1),rd(X2,X1)) = rd(mult(X0,ld(X1,X2)),X1),
inference(superposition,[],[f162,f3]) ).
fof(f2018,plain,
! [X0] : mult(x0,rd(X0,x1)) = rd(mult(unit,ld(x1,X0)),x1),
inference(superposition,[],[f162,f10]) ).
fof(f2029,plain,
! [X2,X0,X1] : mult(X1,rd(mult(X2,X0),X2)) = rd(mult(mult(X1,X2),X0),X2),
inference(superposition,[],[f162,f2]) ).
fof(f2070,plain,
! [X0] : mult(x0,rd(X0,x1)) = rd(ld(x1,X0),x1),
inference(forward_demodulation,[],[f2018,f6]) ).
fof(f2487,plain,
! [X2,X0,X1] : mult(rd(X0,X1),rd(mult(X1,X2),X1)) = rd(mult(X0,X2),X1),
inference(superposition,[],[f2029,f3]) ).
fof(f2516,plain,
! [X2,X3,X0,X1] : mult(mult(X0,rd(mult(X1,X2),X1)),mult(X1,X3)) = mult(X1,mult(ld(X1,mult(mult(X0,X1),X2)),X3)),
inference(superposition,[],[f48,f2029]) ).
fof(f2527,plain,
! [X2,X3,X0,X1] : mult(mult(X3,mult(X0,X2)),ld(mult(X0,X2),mult(X0,mult(X1,X2)))) = mult(X0,mult(ld(X0,mult(mult(X3,X0),X1)),X2)),
inference(backward_demodulation,[],[f18,f2516]) ).
fof(f2632,plain,
! [X2,X0,X1] : rd(mult(X2,X1),X2) = ld(rd(X0,X2),rd(mult(X0,X1),X2)),
inference(superposition,[],[f2,f2487]) ).
fof(f2735,plain,
! [X2,X0,X1] : rd(mult(ld(X0,X1),X2),ld(X0,X1)) = ld(X0,rd(mult(X1,X2),ld(X0,X1))),
inference(superposition,[],[f2632,f76]) ).
fof(f2772,plain,
! [X0,X1] : rd(mult(X1,X0),X1) = ld(rd(unit,X1),rd(X0,X1)),
inference(superposition,[],[f2632,f6]) ).
fof(f3059,plain,
! [X0] : mult(mult(x0,X0),x0) = mult(x0,mult(rd(X0,x1),unit)),
inference(superposition,[],[f251,f5]) ).
fof(f3060,plain,
! [X0,X1] : mult(mult(x0,X1),X0) = mult(x0,mult(rd(X1,x1),ld(x0,X0))),
inference(superposition,[],[f251,f1]) ).
fof(f3074,plain,
! [X2,X0,X1] : mult(mult(X2,mult(x0,X0)),mult(x0,X1)) = mult(mult(X2,mult(x0,X1)),ld(mult(x0,X1),mult(x0,mult(rd(X0,x1),X1)))),
inference(superposition,[],[f8,f251]) ).
fof(f3096,plain,
! [X2,X0,X1] : mult(mult(X2,mult(x0,X0)),mult(x0,X1)) = mult(x0,mult(ld(x0,mult(mult(X2,x0),rd(X0,x1))),X1)),
inference(forward_demodulation,[],[f3074,f2527]) ).
fof(f3104,plain,
! [X0] : mult(x0,rd(X0,x1)) = mult(mult(x0,X0),x0),
inference(forward_demodulation,[],[f3059,f5]) ).
fof(f3141,plain,
! [X0,X1] : mult(mult(X1,mult(x0,X0)),x0) = mult(mult(X1,x0),ld(x0,mult(x0,rd(X0,x1)))),
inference(superposition,[],[f8,f3104]) ).
fof(f3165,plain,
! [X0,X1] : mult(mult(X1,mult(x0,X0)),x0) = mult(mult(X1,x0),rd(X0,x1)),
inference(forward_demodulation,[],[f3141,f2]) ).
fof(f3356,plain,
! [X0,X1] : rd(mult(X1,mult(X0,X1)),X1) = ld(rd(unit,X1),X0),
inference(superposition,[],[f2772,f4]) ).
fof(f3393,plain,
! [X2,X0,X1] : rd(mult(X2,mult(mult(X0,X1),X2)),mult(X1,X2)) = ld(rd(unit,X2),X0),
inference(backward_demodulation,[],[f1023,f3356]) ).
fof(f3530,plain,
! [X0] : mult(mult(X0,ld(x0,unit)),x1) = mult(x1,mult(rd(mult(x0,X0),x0),x1)),
inference(superposition,[],[f692,f416]) ).
fof(f3541,plain,
! [X0] : mult(mult(X0,ld(x0,unit)),x1) = mult(x1,mult(x0,mult(X0,ld(x0,x1)))),
inference(forward_demodulation,[],[f3530,f47]) ).
fof(f3588,plain,
! [X0] : mult(mult(X0,x1),mult(unit,x1)) = mult(x1,mult(x0,mult(X0,ld(x0,x1)))),
inference(forward_demodulation,[],[f3541,f742]) ).
fof(f3627,plain,
! [X0] : mult(mult(X0,x1),x1) = mult(x1,mult(x0,mult(X0,ld(x0,x1)))),
inference(forward_demodulation,[],[f3588,f6]) ).
fof(f3692,plain,
! [X0] : mult(x1,mult(x0,X0)) = mult(mult(rd(X0,ld(x0,x1)),x1),x1),
inference(superposition,[],[f3627,f3]) ).
fof(f3817,plain,
! [X0] : mult(x0,mult(mult(X0,x0),x1)) = ld(rd(unit,x0),X0),
inference(superposition,[],[f25,f3356]) ).
fof(f4100,plain,
! [X2,X0,X1] : rd(mult(X1,X2),X0) = mult(rd(X1,rd(mult(X2,X0),X2)),X2),
inference(superposition,[],[f502,f2]) ).
fof(f4232,plain,
! [X2,X0,X1] : rd(X0,rd(mult(X1,X2),X1)) = rd(rd(mult(X0,X1),X2),X1),
inference(superposition,[],[f4,f4100]) ).
fof(f4563,plain,
! [X2,X0,X1] : ld(ld(X1,X2),X2) = ld(mult(X0,ld(X1,X2)),mult(mult(X0,X1),ld(X1,X2))),
inference(superposition,[],[f2,f49]) ).
fof(f4594,plain,
! [X2,X0,X1] : ld(ld(X1,X2),X2) = ld(ld(X1,X2),mult(ld(X0,mult(X0,X1)),ld(X1,X2))),
inference(forward_demodulation,[],[f4563,f87]) ).
fof(f4622,plain,
! [X2,X0,X1] : ld(ld(X1,X2),X2) = ld(X2,mult(mult(X1,ld(X0,mult(X0,X1))),ld(X1,X2))),
inference(forward_demodulation,[],[f4594,f81]) ).
fof(f4638,plain,
! [X2,X1] : ld(ld(X1,X2),X2) = ld(X2,mult(mult(X1,X1),ld(X1,X2))),
inference(forward_demodulation,[],[f4622,f2]) ).
fof(f4679,plain,
ld(ld(x1,unit),unit) = ld(unit,mult(mult(x1,x0),x1)),
inference(superposition,[],[f4638,f22]) ).
fof(f4714,plain,
mult(mult(x1,x0),x1) = ld(ld(x1,unit),unit),
inference(forward_demodulation,[],[f4679,f51]) ).
fof(f5533,plain,
! [X0,X1] : mult(rd(unit,X0),rd(X1,X0)) = rd(ld(X0,X1),X0),
inference(superposition,[],[f2014,f6]) ).
fof(f5826,plain,
! [X0] : mult(mult(X0,x1),ld(x1,unit)) = mult(mult(X0,ld(x1,unit)),mult(mult(x1,x0),x1)),
inference(superposition,[],[f49,f4714]) ).
fof(f5836,plain,
! [X0] : ld(ld(x1,unit),mult(X0,unit)) = mult(ld(ld(x1,unit),mult(X0,ld(x1,unit))),mult(mult(x1,x0),x1)),
inference(superposition,[],[f1600,f4714]) ).
fof(f5843,plain,
! [X0] : ld(ld(x1,unit),mult(X0,unit)) = mult(ld(unit,mult(mult(x1,X0),ld(x1,unit))),mult(mult(x1,x0),x1)),
inference(forward_demodulation,[],[f5836,f81]) ).
fof(f5851,plain,
! [X0] : mult(mult(X0,x0),x1) = mult(mult(X0,ld(x1,unit)),mult(mult(x1,x0),x1)),
inference(forward_demodulation,[],[f5826,f22]) ).
fof(f5854,plain,
! [X0] : ld(ld(x1,unit),mult(X0,unit)) = mult(mult(mult(x1,X0),ld(x1,unit)),mult(mult(x1,x0),x1)),
inference(forward_demodulation,[],[f5843,f51]) ).
fof(f5863,plain,
! [X0] : ld(ld(x1,unit),mult(X0,unit)) = mult(mult(mult(x1,X0),x0),x1),
inference(forward_demodulation,[],[f5854,f5851]) ).
fof(f5865,plain,
! [X0] : ld(ld(x1,unit),X0) = mult(mult(mult(x1,X0),x0),x1),
inference(forward_demodulation,[],[f5863,f5]) ).
fof(f8300,plain,
! [X0,X1] : mult(rd(unit,X1),X0) = rd(ld(X1,mult(X0,X1)),X1),
inference(superposition,[],[f5533,f4]) ).
fof(f10342,plain,
! [X2,X0,X1] : mult(X0,mult(mult(X1,X2),X0)) = mult(ld(rd(unit,X0),X1),mult(X2,X0)),
inference(superposition,[],[f3,f3393]) ).
fof(f11039,plain,
! [X0] : rd(X0,rd(mult(x0,x1),x0)) = mult(x0,mult(x1,mult(X0,x0))),
inference(superposition,[],[f818,f4232]) ).
fof(f11046,plain,
! [X0] : mult(x0,mult(x1,mult(X0,x0))) = rd(X0,mult(x0,mult(x1,x1))),
inference(forward_demodulation,[],[f11039,f25]) ).
fof(f11101,plain,
! [X0] : rd(X0,rd(unit,x0)) = mult(x0,mult(x1,mult(X0,x0))),
inference(forward_demodulation,[],[f11046,f129]) ).
fof(f11712,plain,
! [X2,X0,X1] : ld(X0,mult(rd(X1,mult(X0,X2)),X0)) = rd(ld(X0,X1),X2),
inference(superposition,[],[f4,f1624]) ).
fof(f12626,plain,
! [X2,X0,X1] : ld(X2,mult(X0,X1)) = mult(X0,ld(ld(X0,mult(X2,X0)),X1)),
inference(superposition,[],[f2,f449]) ).
fof(f12965,plain,
! [X2,X0,X1] : mult(X1,ld(ld(X1,X0),X2)) = ld(rd(X0,X1),mult(X1,X2)),
inference(superposition,[],[f12626,f3]) ).
fof(f15693,plain,
! [X2,X0,X1] : ld(X1,mult(rd(X0,X2),X1)) = rd(ld(X1,X0),ld(X1,X2)),
inference(superposition,[],[f1724,f3]) ).
fof(f16080,plain,
! [X2,X0,X1] : rd(X0,ld(X1,X2)) = ld(X1,mult(rd(mult(X1,X0),X2),X1)),
inference(superposition,[],[f15693,f2]) ).
fof(f16383,plain,
! [X0,X1] : ld(X0,mult(mult(X0,X1),X0)) = rd(X1,ld(X0,unit)),
inference(superposition,[],[f16080,f74]) ).
fof(f23026,plain,
! [X2,X3,X0,X1] : mult(rd(X1,mult(X0,X2)),mult(X0,X3)) = mult(X0,mult(rd(ld(X0,X1),X2),X3)),
inference(superposition,[],[f181,f11712]) ).
fof(f25130,plain,
! [X2,X3,X0,X1] : mult(rd(X3,X2),mult(ld(rd(X0,X2),X1),X2)) = mult(X2,mult(ld(X2,X3),ld(X0,mult(X1,X2)))),
inference(superposition,[],[f184,f604]) ).
fof(f25195,plain,
! [X2,X0,X1] : mult(rd(X2,rd(X0,X1)),X0) = mult(X1,mult(ld(X1,X0),ld(X0,mult(X2,X1)))),
inference(backward_demodulation,[],[f189,f25130]) ).
fof(f25962,plain,
! [X0,X1] : mult(rd(X1,rd(X1,X0)),X1) = mult(X0,mult(ld(X0,X1),X0)),
inference(superposition,[],[f25195,f2]) ).
fof(f28645,plain,
! [X0,X1] : mult(x1,mult(x0,mult(mult(X0,ld(x0,x1)),X1))) = mult(mult(mult(X0,rd(mult(ld(x0,x1),X1),ld(x0,x1))),x1),x1),
inference(superposition,[],[f3692,f2029]) ).
fof(f28675,plain,
! [X0,X1] : mult(mult(X1,mult(rd(X0,ld(x0,x1)),x1)),x1) = mult(mult(X1,x1),ld(x1,mult(x1,mult(x0,X0)))),
inference(superposition,[],[f8,f3692]) ).
fof(f28731,plain,
! [X0,X1] : mult(mult(X1,x1),mult(x0,X0)) = mult(mult(X1,mult(rd(X0,ld(x0,x1)),x1)),x1),
inference(forward_demodulation,[],[f28675,f2]) ).
fof(f28748,plain,
! [X0,X1] : mult(x1,mult(x0,mult(mult(X0,ld(x0,x1)),X1))) = mult(mult(mult(X0,ld(x0,rd(mult(x1,X1),ld(x0,x1)))),x1),x1),
inference(forward_demodulation,[],[f28645,f2735]) ).
fof(f28773,plain,
! [X0,X1] : mult(x1,mult(x0,mult(mult(X0,ld(x0,x1)),X1))) = mult(mult(mult(X0,x1),mult(rd(mult(x1,X1),ld(x0,x1)),x1)),x1),
inference(forward_demodulation,[],[f28748,f742]) ).
fof(f28785,plain,
! [X0,X1] : mult(x1,mult(x0,mult(mult(X0,ld(x0,x1)),X1))) = mult(mult(mult(X0,x1),x1),mult(x0,mult(x1,X1))),
inference(forward_demodulation,[],[f28773,f28731]) ).
fof(f28816,plain,
! [X0,X1] : mult(mult(X0,x1),mult(x0,mult(x1,X1))) = mult(x1,mult(x0,mult(mult(rd(X0,x1),ld(x0,x1)),X1))),
inference(superposition,[],[f28785,f3]) ).
fof(f28827,plain,
! [X0,X1] : mult(x1,mult(x0,mult(mult(rd(X0,ld(x0,x1)),ld(x0,x1)),X1))) = mult(mult(x1,mult(x0,X0)),mult(x0,mult(x1,X1))),
inference(superposition,[],[f28785,f3692]) ).
fof(f28920,plain,
! [X0,X1] : mult(mult(x1,mult(x0,X0)),mult(x0,mult(x1,X1))) = mult(x1,mult(x0,mult(X0,X1))),
inference(forward_demodulation,[],[f28827,f3]) ).
fof(f29337,plain,
! [X0,X1] : mult(x1,mult(x0,mult(X1,ld(x1,X0)))) = mult(mult(x1,mult(x0,X1)),mult(x0,X0)),
inference(superposition,[],[f28920,f1]) ).
fof(f29579,plain,
! [X0] : mult(mult(X0,x1),mult(x0,mult(x1,x1))) = mult(x1,mult(x0,mult(X0,ld(x1,mult(ld(x0,x1),x1))))),
inference(superposition,[],[f28816,f73]) ).
fof(f29670,plain,
! [X0] : mult(mult(X0,x1),mult(x0,mult(x1,x1))) = mult(x1,mult(x0,mult(X0,mult(mult(x0,ld(x0,x1)),x1)))),
inference(forward_demodulation,[],[f29579,f24]) ).
fof(f29705,plain,
! [X0] : mult(mult(X0,x1),mult(x0,mult(x1,x1))) = mult(x1,mult(x0,mult(X0,mult(mult(x0,x1),mult(x1,x1))))),
inference(forward_demodulation,[],[f29670,f742]) ).
fof(f29730,plain,
! [X0] : mult(mult(X0,x1),mult(x0,mult(x1,x1))) = mult(x1,mult(x0,mult(X0,mult(unit,mult(x1,x1))))),
inference(forward_demodulation,[],[f29705,f10]) ).
fof(f29750,plain,
! [X0] : mult(mult(X0,x1),mult(x0,mult(x1,x1))) = mult(x1,mult(x0,mult(X0,mult(x1,x1)))),
inference(forward_demodulation,[],[f29730,f6]) ).
fof(f29763,plain,
! [X0] : mult(mult(X0,x1),rd(unit,x0)) = mult(x1,mult(x0,mult(X0,mult(x1,x1)))),
inference(forward_demodulation,[],[f29750,f129]) ).
fof(f30298,plain,
! [X0] : mult(mult(rd(X0,x1),x1),rd(unit,x0)) = mult(x1,mult(x0,mult(x1,mult(ld(x1,X0),x1)))),
inference(superposition,[],[f29763,f48]) ).
fof(f30388,plain,
! [X0] : mult(mult(rd(X0,x1),x1),rd(unit,x0)) = mult(x1,rd(ld(x1,X0),x0)),
inference(forward_demodulation,[],[f30298,f721]) ).
fof(f30411,plain,
! [X0] : mult(X0,rd(unit,x0)) = mult(x1,rd(ld(x1,X0),x0)),
inference(forward_demodulation,[],[f30388,f3]) ).
fof(f30449,plain,
! [X0] : mult(x1,rd(X0,x0)) = mult(mult(x1,X0),rd(unit,x0)),
inference(superposition,[],[f30411,f2]) ).
fof(f30591,plain,
! [X0] : mult(mult(mult(x1,X0),x0),ld(x0,unit)) = mult(mult(x1,rd(X0,x0)),x0),
inference(superposition,[],[f72,f30449]) ).
fof(f30648,plain,
! [X0] : mult(mult(mult(x1,X0),x0),ld(x0,unit)) = mult(mult(x1,x0),ld(x0,X0)),
inference(forward_demodulation,[],[f30591,f72]) ).
fof(f30673,plain,
! [X0] : mult(mult(mult(x1,X0),x0),x1) = mult(mult(x1,x0),ld(x0,X0)),
inference(forward_demodulation,[],[f30648,f67]) ).
fof(f30688,plain,
! [X0] : ld(ld(x1,unit),X0) = mult(mult(x1,x0),ld(x0,X0)),
inference(forward_demodulation,[],[f30673,f5865]) ).
fof(f30712,plain,
! [X0] : mult(mult(x1,x0),X0) = ld(ld(x1,unit),mult(x0,X0)),
inference(superposition,[],[f30688,f2]) ).
fof(f30716,plain,
! [X0] : ld(ld(x1,unit),rd(X0,x0)) = mult(mult(x1,x0),mult(x1,mult(X0,x1))),
inference(superposition,[],[f30688,f828]) ).
fof(f30721,plain,
! [X0] : mult(mult(mult(x1,x0),x1),mult(X0,x1)) = mult(ld(ld(x1,unit),X0),x1),
inference(superposition,[],[f742,f30688]) ).
fof(f30804,plain,
! [X0] : mult(mult(mult(x1,x0),x1),X0) = mult(mult(x1,x0),mult(x1,X0)),
inference(backward_demodulation,[],[f1669,f30712]) ).
fof(f30858,plain,
! [X0] : mult(ld(ld(x1,unit),X0),x1) = mult(mult(x1,x0),mult(x1,mult(X0,x1))),
inference(backward_demodulation,[],[f30721,f30804]) ).
fof(f30934,plain,
! [X0] : mult(ld(ld(x1,unit),X0),x1) = ld(ld(x1,unit),rd(X0,x0)),
inference(forward_demodulation,[],[f30858,f30716]) ).
fof(f31060,plain,
! [X0] : mult(mult(x1,x0),mult(X0,ld(x0,unit))) = ld(ld(x1,unit),rd(mult(x0,X0),x0)),
inference(superposition,[],[f30712,f416]) ).
fof(f31124,plain,
! [X0] : mult(mult(x1,x0),mult(X0,ld(x0,unit))) = mult(ld(ld(x1,unit),mult(x0,X0)),x1),
inference(forward_demodulation,[],[f31060,f30934]) ).
fof(f31141,plain,
! [X0] : mult(mult(mult(x1,x0),X0),x1) = mult(mult(x1,x0),mult(X0,ld(x0,unit))),
inference(forward_demodulation,[],[f31124,f30712]) ).
fof(f31152,plain,
! [X0] : mult(mult(mult(x1,x0),X0),x1) = mult(mult(x1,x0),mult(X0,x1)),
inference(forward_demodulation,[],[f31141,f67]) ).
fof(f31196,plain,
ld(x0,mult(x1,x0)) = mult(x1,mult(mult(x1,x0),mult(x0,x1))),
inference(superposition,[],[f919,f31152]) ).
fof(f31221,plain,
! [X0] : mult(mult(x1,x0),X0) = rd(mult(mult(x1,x0),mult(X0,x1)),x1),
inference(superposition,[],[f4,f31152]) ).
fof(f31246,plain,
! [X0] : mult(rd(unit,x1),mult(mult(x1,x0),X0)) = rd(ld(x1,mult(mult(x1,x0),mult(X0,x1))),x1),
inference(superposition,[],[f8300,f31152]) ).
fof(f31261,plain,
! [X0] : mult(rd(unit,x1),mult(mult(x1,x0),X0)) = mult(x0,rd(mult(mult(x1,x0),mult(X0,x1)),x1)),
inference(forward_demodulation,[],[f31246,f2070]) ).
fof(f31276,plain,
! [X0] : mult(rd(mult(x1,x0),x1),ld(x0,X0)) = mult(mult(x1,x0),X0),
inference(forward_demodulation,[],[f31221,f1461]) ).
fof(f31286,plain,
ld(x0,mult(x1,x0)) = mult(x1,mult(mult(x1,x0),unit)),
inference(forward_demodulation,[],[f31196,f10]) ).
fof(f31302,plain,
! [X0] : mult(x0,mult(rd(mult(x1,x0),x1),ld(x0,X0))) = mult(rd(unit,x1),mult(mult(x1,x0),X0)),
inference(forward_demodulation,[],[f31261,f1461]) ).
fof(f31307,plain,
! [X0] : mult(x1,mult(x0,ld(x1,ld(x0,X0)))) = mult(mult(x1,x0),X0),
inference(forward_demodulation,[],[f31276,f47]) ).
fof(f31319,plain,
mult(x1,mult(x1,x0)) = ld(x0,mult(x1,x0)),
inference(forward_demodulation,[],[f31286,f5]) ).
fof(f31327,plain,
! [X0] : mult(x0,mult(rd(mult(x1,x0),x1),ld(x0,X0))) = mult(x0,mult(mult(x1,x0),X0)),
inference(forward_demodulation,[],[f31302,f79]) ).
fof(f31331,plain,
! [X0] : mult(x1,mult(x0,mult(mult(X0,x0),x1))) = mult(mult(x1,x0),X0),
inference(forward_demodulation,[],[f31307,f941]) ).
fof(f31339,plain,
! [X0] : mult(mult(x0,mult(x1,x0)),X0) = mult(x0,mult(mult(x1,x0),X0)),
inference(forward_demodulation,[],[f31327,f3060]) ).
fof(f31343,plain,
! [X0] : mult(mult(x1,x0),X0) = mult(x1,ld(rd(unit,x0),X0)),
inference(forward_demodulation,[],[f31331,f3817]) ).
fof(f31403,plain,
! [X0] : mult(mult(x0,X0),mult(x1,x0)) = mult(x0,mult(mult(x1,x0),ld(mult(x1,x0),mult(X0,mult(x1,x0))))),
inference(superposition,[],[f8,f31339]) ).
fof(f31592,plain,
! [X0] : mult(x0,mult(X0,mult(x1,x0))) = mult(mult(x0,X0),mult(x1,x0)),
inference(forward_demodulation,[],[f31403,f1]) ).
fof(f32074,plain,
mult(x0,mult(x1,mult(x1,x0))) = mult(unit,mult(x1,x0)),
inference(superposition,[],[f31592,f10]) ).
fof(f32083,plain,
! [X0] : mult(X0,mult(x1,x0)) = mult(x0,mult(ld(x0,X0),mult(x1,x0))),
inference(superposition,[],[f31592,f1]) ).
fof(f32096,plain,
! [X0] : mult(rd(X0,x1),ld(x0,mult(x1,x0))) = ld(x0,mult(x0,mult(X0,mult(x1,x0)))),
inference(superposition,[],[f1907,f31592]) ).
fof(f32158,plain,
! [X0] : mult(X0,mult(x1,x0)) = mult(rd(X0,x1),ld(x0,mult(x1,x0))),
inference(forward_demodulation,[],[f32096,f2]) ).
fof(f32168,plain,
! [X0] : mult(x0,mult(x1,mult(mult(X0,x1),x0))) = mult(X0,mult(x1,x0)),
inference(forward_demodulation,[],[f32083,f800]) ).
fof(f32176,plain,
mult(x1,x0) = mult(x0,mult(x1,mult(x1,x0))),
inference(forward_demodulation,[],[f32074,f6]) ).
fof(f32189,plain,
! [X0] : mult(X0,mult(x1,x0)) = mult(rd(X0,x1),mult(x1,mult(x1,x0))),
inference(forward_demodulation,[],[f32158,f31319]) ).
fof(f32196,plain,
! [X0] : mult(X0,mult(x1,x0)) = rd(mult(X0,x1),rd(unit,x0)),
inference(forward_demodulation,[],[f32168,f11101]) ).
fof(f32201,plain,
mult(x1,x0) = rd(x1,rd(unit,x0)),
inference(forward_demodulation,[],[f32176,f11101]) ).
fof(f32205,plain,
! [X0] : mult(X0,mult(x1,x0)) = mult(x1,mult(ld(x1,X0),mult(x1,x0))),
inference(forward_demodulation,[],[f32189,f48]) ).
fof(f32227,plain,
! [X0] : mult(mult(mult(x1,x0),X0),mult(x1,x0)) = rd(mult(mult(x1,x0),mult(X0,x1)),rd(unit,x0)),
inference(superposition,[],[f32196,f31152]) ).
fof(f32372,plain,
! [X0] : mult(mult(x1,x0),mult(x0,X0)) = mult(x1,mult(x0,ld(ld(x0,unit),X0))),
inference(superposition,[],[f31343,f12965]) ).
fof(f32387,plain,
! [X0] : mult(rd(x1,rd(unit,x0)),rd(X0,rd(unit,x0))) = rd(mult(mult(x1,x0),X0),rd(unit,x0)),
inference(superposition,[],[f2014,f31343]) ).
fof(f32455,plain,
! [X0] : mult(mult(x1,x0),rd(X0,rd(unit,x0))) = rd(mult(mult(x1,x0),X0),rd(unit,x0)),
inference(forward_demodulation,[],[f32387,f32201]) ).
fof(f32465,plain,
! [X0] : mult(x1,mult(x0,ld(x1,X0))) = mult(mult(x1,x0),mult(x0,X0)),
inference(forward_demodulation,[],[f32372,f67]) ).
fof(f32473,plain,
! [X0] : mult(mult(mult(x1,x0),X0),mult(x1,x0)) = mult(mult(x1,x0),rd(mult(X0,x1),rd(unit,x0))),
inference(backward_demodulation,[],[f32227,f32455]) ).
fof(f32490,plain,
! [X0] : mult(mult(mult(x1,x0),X0),mult(x1,x0)) = mult(mult(x1,x0),mult(X0,mult(x1,x0))),
inference(forward_demodulation,[],[f32473,f32196]) ).
fof(f32516,plain,
! [X0] : mult(x1,mult(x0,X0)) = mult(x0,mult(mult(x1,mult(x1,x0)),X0)),
inference(superposition,[],[f181,f31319]) ).
fof(f35766,plain,
! [X0,X1] : mult(mult(mult(x1,x0),X0),mult(mult(x1,x0),X1)) = mult(mult(x1,x0),mult(ld(mult(x1,x0),mult(mult(x1,x0),mult(X0,mult(x1,x0)))),X1)),
inference(superposition,[],[f181,f32490]) ).
fof(f35808,plain,
! [X0,X1] : mult(mult(mult(x1,x0),X0),mult(mult(x1,x0),X1)) = mult(mult(x1,x0),mult(mult(X0,mult(x1,x0)),X1)),
inference(forward_demodulation,[],[f35766,f2]) ).
fof(f37547,plain,
! [X0,X1] : mult(mult(x0,mult(mult(x1,mult(x1,x0)),ld(x0,X1))),mult(x0,X0)) = mult(mult(x1,mult(x0,X0)),ld(mult(x0,X0),mult(X1,mult(x0,X0)))),
inference(superposition,[],[f59,f32516]) ).
fof(f37584,plain,
! [X0] : ld(x0,mult(mult(x1,mult(x0,X0)),x0)) = rd(mult(mult(x1,mult(x1,x0)),X0),ld(x0,unit)),
inference(superposition,[],[f16383,f32516]) ).
fof(f37590,plain,
! [X0] : ld(x0,mult(mult(x1,mult(x0,X0)),x0)) = rd(mult(mult(x1,mult(x1,x0)),X0),x1),
inference(forward_demodulation,[],[f37584,f67]) ).
fof(f37604,plain,
! [X0,X1] : mult(mult(x1,X1),mult(x0,X0)) = mult(mult(x0,mult(mult(x1,mult(x1,x0)),ld(x0,X1))),mult(x0,X0)),
inference(forward_demodulation,[],[f37547,f8]) ).
fof(f37638,plain,
! [X0] : rd(mult(mult(x1,mult(x1,x0)),X0),x1) = ld(x0,mult(mult(x1,x0),rd(X0,x1))),
inference(forward_demodulation,[],[f37590,f3165]) ).
fof(f37645,plain,
! [X0,X1] : mult(mult(x1,X1),mult(x0,X0)) = mult(x0,mult(rd(mult(mult(x1,mult(x1,x0)),ld(x0,X1)),x1),X0)),
inference(forward_demodulation,[],[f37604,f251]) ).
fof(f37681,plain,
! [X0,X1] : mult(mult(x1,X1),mult(x0,X0)) = mult(x0,mult(ld(x0,mult(mult(x1,x0),rd(ld(x0,X1),x1))),X0)),
inference(forward_demodulation,[],[f37645,f37638]) ).
fof(f37706,plain,
! [X0,X1] : mult(mult(x1,X1),mult(x0,X0)) = mult(mult(x1,mult(x0,ld(x0,X1))),mult(x0,X0)),
inference(forward_demodulation,[],[f37681,f3096]) ).
fof(f37724,plain,
! [X0,X1] : mult(mult(x1,X1),mult(x0,X0)) = mult(x1,mult(x0,mult(ld(x0,X1),ld(x1,X0)))),
inference(forward_demodulation,[],[f37706,f29337]) ).
fof(f38187,plain,
! [X0] : mult(x1,mult(X0,mult(x1,x0))) = mult(mult(x1,X0),mult(x1,x0)),
inference(superposition,[],[f32205,f2]) ).
fof(f38334,plain,
! [X0] : mult(mult(mult(x1,x0),X0),mult(x1,x0)) = mult(x1,mult(ld(rd(unit,x0),X0),mult(x1,x0))),
inference(superposition,[],[f38187,f31343]) ).
fof(f38438,plain,
! [X0] : mult(mult(mult(x1,x0),X0),mult(x1,x0)) = mult(x1,mult(x0,mult(mult(X0,x1),x0))),
inference(forward_demodulation,[],[f38334,f10342]) ).
fof(f38470,plain,
! [X0] : mult(mult(x1,x0),mult(X0,mult(x1,x0))) = mult(x1,mult(x0,mult(mult(X0,x1),x0))),
inference(forward_demodulation,[],[f38438,f32490]) ).
fof(f38483,plain,
! [X0] : mult(mult(mult(x1,x0),X0),mult(x1,x0)) = mult(x1,mult(x0,mult(mult(X0,x1),x0))),
inference(backward_demodulation,[],[f32490,f38470]) ).
fof(f38579,plain,
! [X0] : mult(rd(X0,rd(X0,mult(x1,x0))),X0) = mult(x1,mult(x0,mult(mult(ld(mult(x1,x0),X0),x1),x0))),
inference(superposition,[],[f25962,f38470]) ).
fof(f38886,plain,
! [X0] : mult(X0,mult(x1,x0)) = mult(x1,mult(x0,mult(mult(ld(mult(x1,x0),X0),x1),x0))),
inference(superposition,[],[f38483,f1]) ).
fof(f39000,plain,
! [X0] : mult(X0,mult(x1,x0)) = mult(rd(X0,rd(X0,mult(x1,x0))),X0),
inference(backward_demodulation,[],[f38579,f38886]) ).
fof(f39174,plain,
! [X0,X1] : mult(mult(x1,x0),mult(ld(mult(x1,x0),X1),mult(x0,X0))) = mult(rd(X1,mult(x1,x0)),mult(x1,mult(x0,ld(x1,X0)))),
inference(superposition,[],[f48,f32465]) ).
fof(f39220,plain,
! [X0,X1] : mult(mult(x1,x0),mult(ld(mult(x1,x0),X1),mult(x0,X0))) = mult(x1,mult(rd(ld(x1,X1),x0),mult(x0,ld(x1,X0)))),
inference(forward_demodulation,[],[f39174,f23026]) ).
fof(f39272,plain,
! [X0,X1] : mult(mult(x1,x0),mult(ld(mult(x1,x0),X1),mult(x0,X0))) = mult(x1,mult(x0,mult(ld(x0,ld(x1,X1)),ld(x1,X0)))),
inference(forward_demodulation,[],[f39220,f48]) ).
fof(f39312,plain,
! [X0,X1] : mult(mult(x1,x0),mult(ld(mult(x1,x0),X1),mult(x0,X0))) = mult(mult(x1,ld(x1,X1)),mult(x0,X0)),
inference(forward_demodulation,[],[f39272,f37724]) ).
fof(f39335,plain,
! [X0,X1] : mult(X1,mult(x0,X0)) = mult(mult(x1,x0),mult(ld(mult(x1,x0),X1),mult(x0,X0))),
inference(forward_demodulation,[],[f39312,f1]) ).
fof(f45143,plain,
! [X0,X1] : mult(mult(mult(x1,x0),X0),mult(x0,X1)) = mult(mult(x1,x0),mult(X0,mult(x0,X1))),
inference(superposition,[],[f39335,f2]) ).
fof(f45161,plain,
! [X0,X1] : mult(X1,X0) = mult(mult(x1,x0),mult(ld(mult(x1,x0),X1),X0)),
inference(superposition,[],[f39335,f1]) ).
fof(f45663,plain,
! [X0,X1] : mult(mult(x1,x0),mult(X1,X0)) = mult(mult(mult(x1,x0),X1),X0),
inference(superposition,[],[f45143,f1]) ).
fof(f45854,plain,
! [X0,X1] : mult(mult(x1,x0),mult(mult(X0,mult(x1,x0)),X1)) = mult(mult(x1,x0),mult(X0,mult(mult(x1,x0),X1))),
inference(backward_demodulation,[],[f35808,f45663]) ).
fof(f46270,plain,
! [X0,X1] : mult(mult(x1,x0),mult(mult(ld(mult(x1,x0),X0),mult(x1,x0)),X1)) = mult(mult(rd(X0,rd(X0,mult(x1,x0))),X0),X1),
inference(superposition,[],[f45663,f25962]) ).
fof(f46582,plain,
! [X0,X1] : mult(mult(X0,mult(x1,x0)),X1) = mult(mult(x1,x0),mult(mult(ld(mult(x1,x0),X0),mult(x1,x0)),X1)),
inference(forward_demodulation,[],[f46270,f39000]) ).
fof(f46713,plain,
! [X0,X1] : mult(mult(X0,mult(x1,x0)),X1) = mult(mult(x1,x0),mult(ld(mult(x1,x0),X0),mult(mult(x1,x0),X1))),
inference(forward_demodulation,[],[f46582,f45854]) ).
fof(f46818,plain,
! [X0,X1] : mult(X0,mult(mult(x1,x0),X1)) = mult(mult(X0,mult(x1,x0)),X1),
inference(forward_demodulation,[],[f46713,f45161]) ).
fof(f47053,plain,
mult(x2,mult(mult(x1,x0),x3)) != mult(x2,mult(mult(x1,x0),x3)),
inference(backward_demodulation,[],[f11,f46818]) ).
fof(f47054,plain,
$false,
inference(trivial_inequality_removal,[],[f47053]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP664-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 10:34:04 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 87.38/13.00 % (3186078)Detected a unit-equality problem, will run specialized UEQ schedule.
% 87.38/13.00 % (3186089)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=537613149:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 87.38/13.00 % (3186083)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=2449260502:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 87.38/13.00 % (3186085)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2437127005:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 87.38/13.00 % (3186088)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3455419829:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 87.38/13.00 % (3186084)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=1475274096:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 87.38/13.00 % (3186087)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3566489262:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 87.38/13.00 % (3186086)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3822798097:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 87.38/13.00 % (3186086)Instruction limit reached!
% 87.38/13.00 % (3186086)------------------------------
% 87.38/13.00 % (3186086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.38/13.00 % (3186086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.38/13.00 % (3186086)CaDiCaL version: 2.1.3
% 87.38/13.00 % (3186086)Termination reason: Instruction limit
% 87.38/13.00 % (3186086)Termination phase: Saturation
% 87.38/13.00 % (3186086)Time elapsed: 0.077 s
% 87.38/13.00 % (3186086)Peak memory usage: 88 MB
% 87.38/13.00 % (3186086)Instructions burned: 137 (million)
% 87.38/13.00 % (3186087)Instruction limit reached!
% 87.38/13.00 % (3186087)------------------------------
% 87.38/13.00 % (3186087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.38/13.00 % (3186087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.38/13.00 % (3186087)CaDiCaL version: 2.1.3
% 87.38/13.00 % (3186087)Termination reason: Instruction limit
% 87.38/13.00 % (3186087)Termination phase: Saturation
% 87.38/13.00 % (3186087)Time elapsed: 0.101 s
% 87.38/13.00 % (3186087)Peak memory usage: 89 MB
% 87.38/13.00 % (3186087)Instructions burned: 181 (million)
% 87.38/13.00 % (3186088)Instruction limit reached!
% 87.38/13.00 % (3186088)------------------------------
% 87.38/13.00 % (3186088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.38/13.00 % (3186088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.38/13.00 % (3186088)CaDiCaL version: 2.1.3
% 87.38/13.00 % (3186088)Termination reason: Instruction limit
% 87.38/13.00 % (3186088)Termination phase: Saturation
% 87.38/13.00 % (3186088)Time elapsed: 0.153 s
% 87.38/13.00 % (3186088)Peak memory usage: 90 MB
% 87.38/13.00 % (3186088)Instructions burned: 258 (million)
% 87.38/13.00 % (3186097)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1107012343:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 87.38/13.00 % (3186098)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=615945201:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 87.38/13.00 % (3186099)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2572117754:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 87.38/13.00 % (3186099)Instruction limit reached!
% 87.38/13.00 % (3186099)------------------------------
% 87.38/13.00 % (3186099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.38/13.00 % (3186099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.38/13.00 % (3186099)CaDiCaL version: 2.1.3
% 87.38/13.00 % (3186099)Termination reason: Instruction limit
% 87.38/13.00 % (3186099)Termination phase: Saturation
% 87.38/13.00 % (3186099)Time elapsed: 0.063 s
% 112.13/16.47 % (3186099)Peak memory usage: 92 MB
% 112.13/16.47 % (3186099)Instructions burned: 218 (million)
% 112.13/16.47 % (3186103)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=3613525483: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)
% 112.13/16.47 % (3186103)Instruction limit reached!
% 112.13/16.47 % (3186103)------------------------------
% 112.13/16.47 % (3186103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.13/16.47 % (3186103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.13/16.47 % (3186103)CaDiCaL version: 2.1.3
% 112.13/16.47 % (3186103)Termination reason: Instruction limit
% 112.13/16.47 % (3186103)Termination phase: Saturation
% 112.13/16.47 % (3186103)Time elapsed: 0.106 s
% 112.13/16.47 % (3186103)Peak memory usage: 94 MB
% 112.13/16.47 % (3186103)Instructions burned: 317 (million)
% 112.13/16.47 % (3186089)Instruction limit reached!
% 112.13/16.47 % (3186089)------------------------------
% 112.13/16.47 % (3186089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.13/16.47 % (3186089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.13/16.47 % (3186089)CaDiCaL version: 2.1.3
% 112.13/16.47 % (3186089)Termination reason: Instruction limit
% 112.13/16.47 % (3186089)Termination phase: Saturation
% 112.13/16.47 % (3186089)Time elapsed: 0.644 s
% 112.13/16.47 % (3186089)Peak memory usage: 101 MB
% 112.13/16.47 % (3186089)Instructions burned: 1188 (million)
% 112.13/16.47 % (3186105)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=1435522923:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 112.13/16.47 % (3186106)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1851562192:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 112.13/16.47 % (3186097)Instruction limit reached!
% 112.13/16.47 % (3186097)------------------------------
% 112.13/16.47 % (3186097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.13/16.47 % (3186097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.13/16.47 % (3186097)CaDiCaL version: 2.1.3
% 112.13/16.47 % (3186097)Termination reason: Instruction limit
% 112.13/16.47 % (3186097)Termination phase: Saturation
% 112.13/16.47 % (3186097)Time elapsed: 1.288 s
% 112.13/16.47 % (3186097)Peak memory usage: 141 MB
% 112.13/16.47 % (3186097)Instructions burned: 2052 (million)
% 112.13/16.47 % (3186109)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1499411711:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2983 on theBenchmark for (2983ds/14534Mi)
% 112.13/16.47 % (3186098)Instruction limit reached!
% 112.13/16.47 % (3186098)------------------------------
% 112.13/16.47 % (3186098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.13/16.47 % (3186098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.13/16.47 % (3186098)CaDiCaL version: 2.1.3
% 112.13/16.47 % (3186098)Termination reason: Instruction limit
% 112.13/16.47 % (3186098)Termination phase: Saturation
% 112.13/16.47 % (3186098)Time elapsed: 1.803 s
% 112.13/16.47 % (3186098)Peak memory usage: 169 MB
% 112.13/16.47 % (3186098)Instructions burned: 4949 (million)
% 112.13/16.47 % (3186111)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=1876770415:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2977 on theBenchmark for (2977ds/11832Mi)
% 112.13/16.47 % (3186106)Instruction limit reached!
% 112.13/16.47 % (3186106)------------------------------
% 112.13/16.47 % (3186106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.13/16.47 % (3186106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.13/16.47 % (3186106)CaDiCaL version: 2.1.3
% 112.13/16.47 % (3186106)Termination reason: Instruction limit
% 112.13/16.47 % (3186106)Termination phase: Saturation
% 112.13/16.47 % (3186106)Time elapsed: 1.886 s
% 112.13/16.47 % (3186106)Peak memory usage: 134 MB
% 112.13/16.47 % (3186106)Instructions burned: 2836 (million)
% 112.13/16.47 % (3186113)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=1154309794:i=2279:fgj=on:bd=all_2971 on theBenchmark for (2971ds/2279Mi)
% 112.13/16.47 % (3186113)Instruction limit reached!
% 112.13/16.47 % (3186113)------------------------------
% 61.90/16.63 % (3186113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.90/16.63 % (3186113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.90/16.63 % (3186113)CaDiCaL version: 2.1.3
% 61.90/16.63 % (3186113)Termination reason: Instruction limit
% 61.90/16.63 % (3186113)Termination phase: Saturation
% 61.90/16.63 % (3186113)Time elapsed: 1.350 s
% 61.90/16.63 % (3186113)Peak memory usage: 139 MB
% 61.90/16.63 % (3186113)Instructions burned: 2279 (million)
% 61.90/16.63 % (3186115)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=1498222937:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2956 on theBenchmark for (2956ds/6225Mi)
% 61.90/16.63 % (3186111)Instruction limit reached!
% 61.90/16.63 % (3186111)------------------------------
% 61.90/16.63 % (3186111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.90/16.63 % (3186111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.90/16.63 % (3186111)CaDiCaL version: 2.1.3
% 61.90/16.63 % (3186111)Termination reason: Instruction limit
% 61.90/16.63 % (3186111)Termination phase: Saturation
% 61.90/16.63 % (3186111)Time elapsed: 4.204 s
% 61.90/16.63 % (3186111)Peak memory usage: 230 MB
% 61.90/16.63 % (3186111)Instructions burned: 11835 (million)
% 61.90/16.63 % (3186117)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=1431901853:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2934 on theBenchmark for (2934ds/21755Mi)
% 61.90/16.63 % (3186105)Instruction limit reached!
% 61.90/16.63 % (3186105)------------------------------
% 61.90/16.63 % (3186105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.90/16.63 % (3186105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.90/16.63 % (3186105)CaDiCaL version: 2.1.3
% 61.90/16.63 % (3186105)Termination reason: Instruction limit
% 61.90/16.63 % (3186105)Termination phase: Saturation
% 61.90/16.63 % (3186105)Time elapsed: 7.231 s
% 61.90/16.63 % (3186105)Peak memory usage: 244 MB
% 61.90/16.63 % (3186105)Instructions burned: 12126 (million)
% 61.90/16.63 % (3186115)Instruction limit reached!
% 61.90/16.63 % (3186115)------------------------------
% 61.90/16.63 % (3186115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.90/16.63 % (3186115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.90/16.63 % (3186115)CaDiCaL version: 2.1.3
% 61.90/16.63 % (3186115)Termination reason: Instruction limit
% 61.90/16.63 % (3186115)Termination phase: Saturation
% 61.90/16.63 % (3186115)Time elapsed: 3.584 s
% 61.90/16.63 % (3186115)Peak memory usage: 169 MB
% 61.90/16.63 % (3186115)Instructions burned: 6226 (million)
% 61.90/16.63 % (3186119)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=2503071983:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2918 on theBenchmark for (2918ds/16427Mi)
% 61.90/16.63 % (3186120)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=4048388031:i=9356:fgj=on:bd=preordered:av=off_2918 on theBenchmark for (2918ds/9356Mi)
% 61.90/16.63 % (3186109)Instruction limit reached!
% 61.90/16.63 % (3186109)------------------------------
% 61.90/16.63 % (3186109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.90/16.63 % (3186109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.90/16.63 % (3186109)CaDiCaL version: 2.1.3
% 61.90/16.63 % (3186109)Termination reason: Instruction limit
% 61.90/16.63 % (3186109)Termination phase: Saturation
% 61.90/16.63 % (3186109)Time elapsed: 9.086 s
% 61.90/16.63 % (3186109)Peak memory usage: 257 MB
% 61.90/16.63 % (3186109)Instructions burned: 14534 (million)
% 61.90/16.63 % (3186123)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=1122679961:i=2070:kws=inv_precedence:slsql=off:bd=all_2890 on theBenchmark for (2890ds/2070Mi)
% 61.90/16.63 % (3186123)Instruction limit reached!
% 61.90/16.63 % (3186123)------------------------------
% 61.90/16.63 % (3186123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.90/16.63 % (3186123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.90/16.63 % (3186123)CaDiCaL version: 2.1.3
% 61.90/16.63 % (3186123)Termination reason: Instruction limit
% 61.90/16.63 % (3186123)Termination phase: Saturation
% 61.90/16.63 % (3186123)Time elapsed: 1.258 s
% 61.90/16.63 % (3186123)Peak memory usage: 127 MB
% 61.90/16.63 % (3186123)Instructions burned: 2073 (million)
% 61.90/16.63 % (3186125)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=1239709368:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2875 on theBenchmark for (2875ds/6461Mi)
% 61.90/16.63 % (3186125)Refutation not found, incomplete strategy
% 61.90/16.63 % (3186125)------------------------------
% 61.90/16.63 % (3186125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.90/16.63 % (3186125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.90/16.63 % (3186125)CaDiCaL version: 2.1.3
% 61.90/16.63 % (3186125)Termination reason: Refutation not found, incomplete strategy
% 61.90/16.63 % (3186125)Time elapsed: 0.575 s
% 61.90/16.63 % (3186125)Peak memory usage: 127 MB
% 61.90/16.63 % (3186125)Instructions burned: 861 (million)
% 61.90/16.63 % (3186125)------------------------------
% 61.90/16.63 % (3186125)------------------------------
% 61.90/16.63 % (3186127)lrs+10_6_to=lpo:lpd=off:sil=8000:tgt=ground:drc=off:sp=arity:spb=goal:fd=preordered:random_seed=2387036716:i=2310:bd=all:ss=included_2866 on theBenchmark for (2866ds/2310Mi)
% 61.90/16.63 % (3186120)Instruction limit reached!
% 61.90/16.63 % (3186120)------------------------------
% 61.90/16.63 % (3186120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.90/16.63 % (3186120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.90/16.63 % (3186120)CaDiCaL version: 2.1.3
% 61.90/16.63 % (3186120)Termination reason: Instruction limit
% 61.90/16.63 % (3186120)Termination phase: Saturation
% 61.90/16.63 % (3186120)Time elapsed: 5.519 s
% 61.90/16.63 % (3186120)Peak memory usage: 207 MB
% 61.90/16.63 % (3186120)Instructions burned: 9358 (million)
% 61.90/16.63 % (3186129)dis+11_1_sil=8000:fd=off:nwc=20:random_seed=282962378:st=3:s2pl=on:i=2616:av=off:fsr=off:ss=axioms:sgt=8_2861 on theBenchmark for (2861ds/2616Mi)
% 61.90/16.63 % (3186129)Refutation not found, incomplete strategy
% 61.90/16.63 % (3186129)------------------------------
% 61.90/16.63 % (3186129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.90/16.63 % (3186129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.90/16.63 % (3186129)CaDiCaL version: 2.1.3
% 61.90/16.63 % (3186129)Termination reason: Refutation not found, incomplete strategy
% 61.90/16.63 % (3186129)Time elapsed: 0.001 s
% 61.90/16.63 % (3186129)Peak memory usage: 87 MB
% 61.90/16.63 % (3186129)------------------------------
% 61.90/16.63 % (3186129)------------------------------
% 61.90/16.63 % (3186131)lrs+0_1_ncem=casc2026/models/loop3.pt:sil=32000:tgt=ground:npcc=on:sp=occurrence:urr=ec_only:fd=preordered:random_seed=600734695:i=30521:gtgl=2:kws=inv_arity:bd=all:gtg=exists_sym_2857 on theBenchmark for (2857ds/30521Mi)
% 61.90/16.63 % (3186127)Instruction limit reached!
% 61.90/16.63 % (3186127)------------------------------
% 61.90/16.63 % (3186127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.90/16.63 % (3186127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.90/16.63 % (3186127)CaDiCaL version: 2.1.3
% 61.90/16.63 % (3186127)Termination reason: Instruction limit
% 61.90/16.63 % (3186127)Termination phase: Saturation
% 61.90/16.63 % (3186127)Time elapsed: 1.160 s
% 61.90/16.63 % (3186127)Peak memory usage: 106 MB
% 61.90/16.63 % (3186127)Instructions burned: 2311 (million)
% 61.90/16.63 % (3186133)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=1449941874:i=3258:fgj=on:bd=all:ins=1_2852 on theBenchmark for (2852ds/3258Mi)
% 61.90/16.63 % (3186119)First to succeed.
% 61.90/16.63 % (3186117)Instruction limit reached!
% 61.90/16.63 % (3186117)------------------------------
% 61.90/16.63 % (3186117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.90/16.63 % (3186117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.90/16.63 % (3186117)CaDiCaL version: 2.1.3
% 61.90/16.63 % (3186117)Termination reason: Instruction limit
% 61.90/16.63 % (3186117)Termination phase: Saturation
% 61.90/16.63 % (3186117)Time elapsed: 8.999 s
% 61.90/16.63 % (3186117)Peak memory usage: 257 MB
% 61.90/16.63 % (3186117)Instructions burned: 21756 (million)
% 61.90/16.63 % (3186119)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3186078"
% 61.90/16.63 % (3186135)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=reverse_frequency:kmz=on:random_seed=1992825959:i=5037:kws=precedence_2842 on theBenchmark for (2842ds/5037Mi)
% 61.90/16.63 % (3186119)Refutation found. Thanks to Tanya!
% 61.90/16.63 % SZS status Unsatisfiable for theBenchmark
% 61.90/16.63 % SZS output start Proof for theBenchmark
% See solution above
% 113.91/16.83 % (3186119)------------------------------
% 113.91/16.83 % (3186119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.91/16.83 % (3186119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.91/16.83 % (3186119)CaDiCaL version: 2.1.3
% 113.91/16.83 % (3186119)Termination reason: Refutation
% 113.91/16.83 % (3186119)Time elapsed: 7.402 s
% 113.91/16.83 % (3186119)Peak memory usage: 228 MB
% 113.91/16.83 % (3186119)Instructions burned: 11629 (million)
% 113.91/16.83 % (3186119)------------------------------
% 113.91/16.83 % (3186119)------------------------------
% 113.91/16.83 % (3186078)Success in time 16.027 s
% 113.91/16.83 % Vampire exiting
%------------------------------------------------------------------------------