%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP660-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 10:15:28 AM UTC 2026
% Result : Unsatisfiable 14.02s 2.88s
% Output : Refutation 14.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 6
% Syntax : Number of formulae : 107 ( 107 unt; 0 def)
% Number of atoms : 107 ( 106 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 218 ( 218 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,negated_conjecture,
! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f7,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f8,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),mult(X2,X1))) = mult(mult(X0,X2),X1),
inference(superposition,[],[f5,f1]) ).
fof(f14,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f15,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = rd(mult(X0,mult(X1,mult(X2,X0))),X0),
inference(superposition,[],[f4,f5]) ).
fof(f21,plain,
! [X2,X0,X1] : mult(mult(X1,X2),rd(X0,X1)) = rd(mult(X1,mult(X2,X0)),X1),
inference(superposition,[],[f15,f3]) ).
fof(f23,plain,
! [X2,X0,X1] : mult(mult(X1,rd(X0,mult(X2,X1))),X2) = rd(mult(X1,X0),X1),
inference(superposition,[],[f15,f3]) ).
fof(f37,plain,
! [X2,X0,X1] : rd(mult(mult(X0,X1),X2),mult(ld(X2,X0),mult(X1,X2))) = X2,
inference(superposition,[],[f4,f8]) ).
fof(f39,plain,
! [X2,X0,X1] : mult(ld(X2,X0),mult(X1,X2)) = ld(X2,mult(mult(X0,X1),X2)),
inference(superposition,[],[f2,f8]) ).
fof(f44,plain,
! [X2,X0,X1] : mult(ld(X1,X2),mult(ld(X2,X0),X1)) = ld(X1,mult(X0,X1)),
inference(superposition,[],[f39,f1]) ).
fof(f46,plain,
! [X2,X0,X1] : ld(X1,mult(X0,X1)) = mult(ld(X1,rd(X0,X2)),mult(X2,X1)),
inference(superposition,[],[f39,f3]) ).
fof(f59,plain,
! [X2,X0,X1] : ld(X1,mult(X2,X1)) = mult(X0,mult(ld(mult(X1,X0),X2),X1)),
inference(superposition,[],[f44,f2]) ).
fof(f92,plain,
! [X2,X0,X1] : mult(ld(mult(X0,X2),X1),X0) = ld(X2,ld(X0,mult(X1,X0))),
inference(superposition,[],[f2,f59]) ).
fof(f112,plain,
! [X2,X0,X1] : rd(mult(ld(X1,X0),X2),ld(X1,X0)) = mult(mult(ld(X1,X0),rd(X2,X0)),X1),
inference(superposition,[],[f23,f1]) ).
fof(f135,plain,
! [X2,X0,X1] : rd(mult(X1,X0),X1) = mult(mult(X1,X2),rd(ld(X2,X0),X1)),
inference(superposition,[],[f21,f1]) ).
fof(f202,plain,
! [X2,X0,X1] : rd(mult(rd(X0,X1),X2),rd(X0,X1)) = mult(X0,rd(ld(X1,X2),rd(X0,X1))),
inference(superposition,[],[f135,f3]) ).
fof(f210,plain,
! [X2,X0,X1] : rd(ld(X2,X1),X0) = ld(mult(X0,X2),rd(mult(X0,X1),X0)),
inference(superposition,[],[f2,f135]) ).
fof(f236,plain,
! [X2,X0,X1] : ld(ld(X1,X0),mult(X2,ld(X1,X0))) = mult(ld(ld(X1,X0),rd(X2,X1)),X0),
inference(superposition,[],[f46,f1]) ).
fof(f245,plain,
! [X2,X0,X1] : ld(X1,mult(X2,X1)) = mult(ld(X1,rd(X2,rd(X0,X1))),X0),
inference(superposition,[],[f46,f3]) ).
fof(f251,plain,
! [X2,X0,X1] : ld(X0,rd(X1,X2)) = rd(ld(X0,mult(X1,X0)),mult(X2,X0)),
inference(superposition,[],[f4,f46]) ).
fof(f284,plain,
! [X2,X0,X1] : rd(ld(X0,mult(X1,X0)),X2) = ld(X0,rd(X1,rd(X2,X0))),
inference(superposition,[],[f4,f245]) ).
fof(f308,plain,
! [X2,X0,X1] : mult(ld(mult(ld(X1,X0),X2),X1),ld(X1,X0)) = ld(X2,ld(ld(X1,X0),X0)),
inference(superposition,[],[f92,f1]) ).
fof(f318,plain,
! [X2,X0,X1] : mult(ld(mult(X1,X2),rd(X0,X1)),X1) = ld(X2,ld(X1,X0)),
inference(superposition,[],[f92,f3]) ).
fof(f319,plain,
! [X0,X1] : ld(X1,X0) = mult(ld(mult(X0,X1),X0),X0),
inference(superposition,[],[f92,f2]) ).
fof(f343,plain,
! [X0,X1] : ld(ld(X1,X0),X1) = mult(ld(X0,X1),X1),
inference(superposition,[],[f319,f1]) ).
fof(f354,plain,
! [X0,X1] : ld(X1,rd(X0,X1)) = mult(ld(X0,rd(X0,X1)),rd(X0,X1)),
inference(superposition,[],[f319,f3]) ).
fof(f359,plain,
! [X0,X1] : ld(mult(X1,X0),X1) = rd(ld(X0,X1),X1),
inference(superposition,[],[f4,f319]) ).
fof(f404,plain,
! [X0,X1] : ld(mult(mult(X1,X0),X1),mult(X1,X0)) = rd(X0,mult(X1,X0)),
inference(superposition,[],[f359,f2]) ).
fof(f473,plain,
! [X2,X0,X1] : ld(ld(X1,X0),ld(X1,X2)) = mult(ld(X0,rd(X2,X1)),X1),
inference(superposition,[],[f318,f1]) ).
fof(f607,plain,
! [X2,X0,X1] : ld(ld(X1,X2),X0) = mult(ld(X2,rd(mult(X1,X0),X1)),X1),
inference(superposition,[],[f473,f2]) ).
fof(f1042,plain,
! [X0,X1] : rd(X1,X0) = ld(ld(X1,rd(X1,X0)),ld(X0,rd(X1,X0))),
inference(superposition,[],[f2,f354]) ).
fof(f1057,plain,
! [X0,X1] : rd(rd(X1,X0),ld(X0,rd(X1,X0))) = ld(mult(ld(X0,rd(X1,X0)),ld(X1,rd(X1,X0))),ld(X0,rd(X1,X0))),
inference(superposition,[],[f404,f354]) ).
fof(f1061,plain,
! [X0,X1] : ld(mult(ld(X0,rd(X1,X0)),ld(X1,rd(X1,X0))),ld(X0,rd(X1,X0))) = X0,
inference(forward_demodulation,[],[f1057,f14]) ).
fof(f1199,plain,
! [X2,X0,X1] : rd(ld(X1,X2),rd(X0,X2)) = ld(mult(rd(X0,X2),X1),rd(X0,rd(X0,X2))),
inference(superposition,[],[f210,f3]) ).
fof(f1609,plain,
! [X2,X0,X1] : ld(X1,rd(rd(X0,X1),rd(X2,X1))) = rd(ld(X1,X0),X2),
inference(superposition,[],[f284,f3]) ).
fof(f1688,plain,
! [X2,X0,X1] : rd(ld(X1,X2),mult(X0,X1)) = ld(X1,rd(rd(X2,X1),X0)),
inference(superposition,[],[f1609,f4]) ).
fof(f1743,plain,
! [X2,X0,X1] : ld(rd(X1,X0),rd(rd(X1,rd(X1,X0)),X2)) = rd(X0,mult(X2,rd(X1,X0))),
inference(superposition,[],[f1688,f7]) ).
fof(f2939,plain,
! [X2,X0,X1] : mult(X0,ld(X0,ld(ld(X1,X2),X2))) = ld(ld(X1,X2),mult(X1,ld(X1,X2))),
inference(superposition,[],[f59,f308]) ).
fof(f2989,plain,
! [X2,X0,X1] : mult(X0,ld(X0,ld(ld(X1,X2),X2))) = mult(ld(ld(X1,X2),rd(X1,X1)),X2),
inference(forward_demodulation,[],[f2939,f236]) ).
fof(f3016,plain,
! [X2,X1] : ld(ld(X1,X2),X2) = mult(ld(ld(X1,X2),rd(X1,X1)),X2),
inference(forward_demodulation,[],[f2989,f1]) ).
fof(f3047,plain,
! [X0,X1] : ld(ld(X0,X1),rd(X0,X0)) = rd(ld(ld(X0,X1),X1),X1),
inference(superposition,[],[f4,f3016]) ).
fof(f3099,plain,
! [X0,X1] : ld(ld(X0,X1),rd(X0,X0)) = ld(mult(X1,ld(X0,X1)),X1),
inference(forward_demodulation,[],[f3047,f359]) ).
fof(f5040,plain,
! [X2,X0,X1] : rd(X2,rd(X2,X1)) = mult(mult(rd(X2,X1),X0),rd(ld(X0,X1),rd(X2,X1))),
inference(superposition,[],[f1,f1199]) ).
fof(f5077,plain,
! [X2,X1] : rd(X2,rd(X2,X1)) = rd(mult(rd(X2,X1),X1),rd(X2,X1)),
inference(forward_demodulation,[],[f5040,f135]) ).
fof(f5107,plain,
! [X2,X1] : rd(X2,rd(X2,X1)) = mult(X2,rd(ld(X1,X1),rd(X2,X1))),
inference(forward_demodulation,[],[f5077,f202]) ).
fof(f5198,plain,
! [X0,X1] : ld(rd(ld(X1,X1),rd(X0,X1)),X0) = mult(ld(rd(X0,rd(X0,X1)),X0),X0),
inference(superposition,[],[f319,f5107]) ).
fof(f5225,plain,
! [X0,X1] : ld(rd(ld(X1,X1),rd(X0,X1)),X0) = mult(rd(X0,X1),X0),
inference(forward_demodulation,[],[f5198,f7]) ).
fof(f5456,plain,
! [X0] : rd(ld(X0,X0),X0) = mult(rd(ld(X0,X0),X0),ld(X0,X0)),
inference(superposition,[],[f7,f5225]) ).
fof(f5503,plain,
! [X0] : ld(mult(X0,X0),X0) = mult(ld(mult(X0,X0),X0),ld(X0,X0)),
inference(forward_demodulation,[],[f5456,f359]) ).
fof(f5698,plain,
! [X0] : ld(mult(ld(X0,rd(X0,X0)),ld(X0,rd(X0,X0))),ld(X0,rd(X0,X0))) = mult(ld(mult(ld(X0,rd(X0,X0)),ld(X0,rd(X0,X0))),ld(X0,rd(X0,X0))),rd(X0,X0)),
inference(superposition,[],[f5503,f1042]) ).
fof(f5772,plain,
! [X0] : mult(X0,rd(X0,X0)) = X0,
inference(forward_demodulation,[],[f5698,f1061]) ).
fof(f5823,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(superposition,[],[f2,f5772]) ).
fof(f5848,plain,
! [X0,X1] : ld(rd(X0,X0),rd(X0,X1)) = rd(ld(rd(X0,X0),X0),mult(X1,rd(X0,X0))),
inference(superposition,[],[f251,f5772]) ).
fof(f5851,plain,
! [X0] : ld(rd(X0,X0),X0) = mult(ld(X0,X0),X0),
inference(superposition,[],[f319,f5772]) ).
fof(f5855,plain,
! [X0,X1] : ld(ld(X0,X1),rd(X0,X0)) = mult(ld(X1,rd(X0,X0)),X0),
inference(superposition,[],[f607,f5772]) ).
fof(f5879,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f5851,f7]) ).
fof(f5881,plain,
! [X0,X1] : ld(rd(X0,X0),rd(X0,X1)) = ld(rd(X0,X0),rd(rd(X0,rd(X0,X0)),X1)),
inference(forward_demodulation,[],[f5848,f1688]) ).
fof(f5909,plain,
! [X0,X1] : ld(rd(X0,X0),rd(X0,X1)) = rd(X0,mult(X1,rd(X0,X0))),
inference(forward_demodulation,[],[f5881,f1743]) ).
fof(f5926,plain,
! [X0,X1] : ld(ld(X0,X0),rd(X0,X1)) = rd(X0,mult(X1,ld(X0,X0))),
inference(forward_demodulation,[],[f5909,f5823]) ).
fof(f5973,plain,
! [X0,X1] : rd(ld(X0,X1),ld(X0,X0)) = ld(X0,rd(mult(ld(X0,X0),X1),ld(X0,X0))),
inference(superposition,[],[f210,f5879]) ).
fof(f5980,plain,
! [X0] : rd(X0,X0) = ld(mult(X0,ld(X0,X0)),X0),
inference(superposition,[],[f404,f5879]) ).
fof(f6009,plain,
! [X0] : rd(X0,X0) = ld(ld(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[],[f5980,f3099]) ).
fof(f6013,plain,
! [X0,X1] : rd(ld(X0,X1),ld(X0,X0)) = ld(X0,mult(mult(ld(X0,X0),rd(X1,X0)),X0)),
inference(forward_demodulation,[],[f5973,f112]) ).
fof(f6038,plain,
! [X0] : rd(X0,X0) = mult(ld(X0,rd(X0,X0)),X0),
inference(forward_demodulation,[],[f6009,f5855]) ).
fof(f6040,plain,
! [X0,X1] : rd(ld(X0,X1),ld(X0,X0)) = mult(ld(X0,ld(X0,X0)),mult(rd(X1,X0),X0)),
inference(forward_demodulation,[],[f6013,f39]) ).
fof(f6050,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,ld(X0,X0)),X0),
inference(forward_demodulation,[],[f6038,f5823]) ).
fof(f6051,plain,
! [X0,X1] : mult(ld(X0,ld(X0,X0)),X1) = rd(ld(X0,X1),ld(X0,X0)),
inference(forward_demodulation,[],[f6040,f3]) ).
fof(f6366,plain,
! [X0] : rd(ld(X0,X0),X0) = ld(X0,ld(X0,X0)),
inference(superposition,[],[f4,f6050]) ).
fof(f6441,plain,
! [X0] : ld(mult(X0,X0),X0) = ld(X0,ld(X0,X0)),
inference(forward_demodulation,[],[f6366,f359]) ).
fof(f6509,plain,
! [X0] : mult(mult(X0,X0),ld(X0,ld(X0,X0))) = X0,
inference(superposition,[],[f1,f6441]) ).
fof(f8183,plain,
! [X0,X1] : ld(X0,X1) = mult(mult(ld(X0,ld(X0,X0)),X1),ld(X0,X0)),
inference(superposition,[],[f3,f6051]) ).
fof(f8938,plain,
! [X0] : ld(X0,ld(X0,X0)) = rd(X0,mult(ld(ld(X0,ld(X0,X0)),X0),mult(X0,ld(X0,ld(X0,X0))))),
inference(superposition,[],[f37,f6509]) ).
fof(f9015,plain,
! [X0] : ld(X0,ld(X0,X0)) = rd(X0,mult(ld(ld(X0,ld(X0,X0)),X0),ld(X0,X0))),
inference(forward_demodulation,[],[f8938,f1]) ).
fof(f9042,plain,
! [X0] : ld(X0,ld(X0,X0)) = ld(ld(X0,X0),rd(X0,ld(ld(X0,ld(X0,X0)),X0))),
inference(forward_demodulation,[],[f9015,f5926]) ).
fof(f9060,plain,
! [X0] : ld(X0,ld(X0,X0)) = ld(ld(X0,X0),ld(X0,ld(X0,X0))),
inference(forward_demodulation,[],[f9042,f14]) ).
fof(f9075,plain,
! [X0] : ld(X0,ld(X0,X0)) = mult(ld(X0,rd(ld(X0,X0),X0)),X0),
inference(forward_demodulation,[],[f9060,f473]) ).
fof(f9086,plain,
! [X0] : ld(X0,ld(X0,X0)) = mult(ld(X0,ld(mult(X0,X0),X0)),X0),
inference(forward_demodulation,[],[f9075,f359]) ).
fof(f9094,plain,
! [X0] : ld(X0,ld(X0,X0)) = mult(ld(X0,ld(X0,ld(X0,X0))),X0),
inference(forward_demodulation,[],[f9086,f6441]) ).
fof(f9108,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = ld(X1,ld(ld(X1,ld(X1,X1)),X0)),
inference(superposition,[],[f8183,f1]) ).
fof(f9128,plain,
! [X0,X1] : ld(ld(X0,X0),ld(X0,X1)) = mult(ld(ld(X0,X0),ld(X0,ld(X0,X0))),mult(X1,ld(X0,X0))),
inference(superposition,[],[f39,f8183]) ).
fof(f9199,plain,
! [X0,X1] : ld(ld(X0,X0),ld(X0,X1)) = mult(mult(ld(X0,rd(ld(X0,X0),X0)),X0),mult(X1,ld(X0,X0))),
inference(forward_demodulation,[],[f9128,f473]) ).
fof(f9231,plain,
! [X0,X1] : ld(ld(X0,X0),ld(X0,X1)) = mult(mult(ld(X0,ld(mult(X0,X0),X0)),X0),mult(X1,ld(X0,X0))),
inference(forward_demodulation,[],[f9199,f359]) ).
fof(f9247,plain,
! [X0,X1] : ld(ld(X0,X0),ld(X0,X1)) = mult(mult(ld(X0,ld(X0,ld(X0,X0))),X0),mult(X1,ld(X0,X0))),
inference(forward_demodulation,[],[f9231,f6441]) ).
fof(f9259,plain,
! [X0,X1] : mult(ld(X0,ld(X0,X0)),mult(X1,ld(X0,X0))) = ld(ld(X0,X0),ld(X0,X1)),
inference(forward_demodulation,[],[f9247,f9094]) ).
fof(f9266,plain,
! [X0,X1] : mult(ld(X0,rd(X1,X0)),X0) = mult(ld(X0,ld(X0,X0)),mult(X1,ld(X0,X0))),
inference(forward_demodulation,[],[f9259,f473]) ).
fof(f9298,plain,
! [X0,X1] : ld(ld(X1,ld(X1,X1)),X0) = mult(X1,mult(X0,ld(X1,X1))),
inference(superposition,[],[f1,f9108]) ).
fof(f9424,plain,
! [X0,X1] : ld(ld(ld(X0,rd(X0,X0)),rd(X0,X0)),X1) = mult(ld(X0,rd(X0,X0)),mult(X1,rd(X0,X0))),
inference(superposition,[],[f9298,f1042]) ).
fof(f9617,plain,
! [X0,X1] : mult(ld(X0,ld(X0,X0)),mult(X1,ld(X0,X0))) = ld(ld(ld(X0,ld(X0,X0)),ld(X0,X0)),X1),
inference(forward_demodulation,[],[f9424,f5823]) ).
fof(f9687,plain,
! [X0,X1] : mult(ld(X0,ld(X0,X0)),mult(X1,ld(X0,X0))) = ld(mult(ld(ld(X0,X0),rd(X0,X0)),X0),X1),
inference(forward_demodulation,[],[f9617,f473]) ).
fof(f9738,plain,
! [X0,X1] : mult(ld(X0,ld(X0,X0)),mult(X1,ld(X0,X0))) = ld(ld(ld(X0,X0),X0),X1),
inference(forward_demodulation,[],[f9687,f3016]) ).
fof(f9784,plain,
! [X0,X1] : ld(mult(ld(X0,X0),X0),X1) = mult(ld(X0,ld(X0,X0)),mult(X1,ld(X0,X0))),
inference(forward_demodulation,[],[f9738,f343]) ).
fof(f9828,plain,
! [X0,X1] : mult(ld(X0,rd(X1,X0)),X0) = ld(mult(ld(X0,X0),X0),X1),
inference(forward_demodulation,[],[f9784,f9266]) ).
fof(f9865,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,rd(X1,X0)),X0),
inference(forward_demodulation,[],[f9828,f5879]) ).
fof(f10044,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = ld(ld(X0,X0),X1),
inference(superposition,[],[f607,f9865]) ).
fof(f10120,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = X1,
inference(forward_demodulation,[],[f10044,f2]) ).
fof(f10217,plain,
! [X0,X1] : mult(ld(X0,X0),mult(X1,ld(X0,X0))) = ld(ld(ld(X0,X0),ld(X0,X0)),X1),
inference(superposition,[],[f9298,f10120]) ).
fof(f10257,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = X1,
inference(superposition,[],[f2,f10120]) ).
fof(f10321,plain,
! [X0,X1] : mult(ld(X0,X0),mult(X1,ld(X0,X0))) = X1,
inference(forward_demodulation,[],[f10217,f10120]) ).
fof(f10374,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = X1,
inference(forward_demodulation,[],[f10321,f10257]) ).
fof(f11487,plain,
! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),mult(x1_2(ld(X0,X0)),ld(X0,X0))),
inference(superposition,[],[f6,f10257]) ).
fof(f11488,plain,
! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
inference(forward_demodulation,[],[f11487,f10374]) ).
fof(f11489,plain,
$false,
inference(trivial_inequality_removal,[],[f11488]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP660-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:38:31 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.02/2.88 % (3365310)Detected a unit-equality problem, will run specialized UEQ schedule.
% 14.02/2.88 % (3365320)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3180034805:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 14.02/2.88 % (3365318)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3932901035:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 14.02/2.88 % (3365316)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=520539410:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 14.02/2.88 % (3365315)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=3171620825:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 14.02/2.88 % (3365317)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3129178465:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 14.02/2.88 % (3365319)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1954057005:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 14.02/2.88 % (3365321)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3362228430:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 14.02/2.88 % (3365320)Instruction limit reached!
% 14.02/2.88 % (3365320)------------------------------
% 14.02/2.88 % (3365320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.88 % (3365320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.88 % (3365320)CaDiCaL version: 2.1.3
% 14.02/2.88 % (3365320)Termination reason: Instruction limit
% 14.02/2.88 % (3365320)Termination phase: Saturation
% 14.02/2.88 % (3365320)Time elapsed: 0.080 s
% 14.02/2.88 % (3365320)Peak memory usage: 90 MB
% 14.02/2.88 % (3365320)Instructions burned: 262 (million)
% 14.02/2.88 % (3365318)Instruction limit reached!
% 14.02/2.88 % (3365318)------------------------------
% 14.02/2.88 % (3365318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.88 % (3365318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.88 % (3365318)CaDiCaL version: 2.1.3
% 14.02/2.88 % (3365318)Termination reason: Instruction limit
% 14.02/2.88 % (3365318)Termination phase: Saturation
% 14.02/2.88 % (3365318)Time elapsed: 0.082 s
% 14.02/2.88 % (3365318)Peak memory usage: 88 MB
% 14.02/2.88 % (3365318)Instructions burned: 136 (million)
% 14.02/2.88 % (3365319)Instruction limit reached!
% 14.02/2.88 % (3365319)------------------------------
% 14.02/2.88 % (3365319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.88 % (3365319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.88 % (3365319)CaDiCaL version: 2.1.3
% 14.02/2.88 % (3365319)Termination reason: Instruction limit
% 14.02/2.88 % (3365319)Termination phase: Saturation
% 14.02/2.88 % (3365319)Time elapsed: 0.110 s
% 14.02/2.88 % (3365319)Peak memory usage: 89 MB
% 14.02/2.88 % (3365319)Instructions burned: 182 (million)
% 14.02/2.88 % (3365329)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1449081106:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 14.02/2.88 % (3365330)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3581492397:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 14.02/2.88 % (3365331)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3036424403:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 14.02/2.88 % (3365331)Instruction limit reached!
% 14.02/2.88 % (3365331)------------------------------
% 14.02/2.88 % (3365331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.88 % (3365331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.88 % (3365331)CaDiCaL version: 2.1.3
% 14.02/2.88 % (3365331)Termination reason: Instruction limit
% 14.02/2.88 % (3365331)Termination phase: Saturation
% 14.02/2.88 % (3365331)Time elapsed: 0.114 s
% 14.02/2.88 % (3365331)Peak memory usage: 90 MB
% 14.02/2.88 % (3365331)Instructions burned: 216 (million)
% 14.02/2.88 % (3365335)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=2474922065: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)
% 14.02/2.88 % (3365321)Instruction limit reached!
% 14.02/2.88 % (3365321)------------------------------
% 14.02/2.88 % (3365321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.88 % (3365321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.88 % (3365321)CaDiCaL version: 2.1.3
% 14.02/2.88 % (3365321)Termination reason: Instruction limit
% 14.02/2.88 % (3365321)Termination phase: Saturation
% 14.02/2.88 % (3365321)Time elapsed: 0.674 s
% 14.02/2.88 % (3365321)Peak memory usage: 101 MB
% 14.02/2.88 % (3365321)Instructions burned: 1187 (million)
% 14.02/2.88 % (3365335)Instruction limit reached!
% 14.02/2.88 % (3365335)------------------------------
% 14.02/2.88 % (3365335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.88 % (3365335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.88 % (3365335)CaDiCaL version: 2.1.3
% 14.02/2.88 % (3365335)Termination reason: Instruction limit
% 14.02/2.88 % (3365335)Termination phase: Saturation
% 14.02/2.88 % (3365335)Time elapsed: 0.199 s
% 14.02/2.88 % (3365335)Peak memory usage: 92 MB
% 14.02/2.88 % (3365335)Instructions burned: 317 (million)
% 14.02/2.88 % (3365337)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=4255412871:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 14.02/2.88 % (3365329)Instruction limit reached!
% 14.02/2.88 % (3365329)------------------------------
% 14.02/2.88 % (3365329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.88 % (3365329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.88 % (3365329)CaDiCaL version: 2.1.3
% 14.02/2.88 % (3365329)Termination reason: Instruction limit
% 14.02/2.88 % (3365329)Termination phase: Saturation
% 14.02/2.88 % (3365329)Time elapsed: 0.714 s
% 14.02/2.88 % (3365329)Peak memory usage: 142 MB
% 14.02/2.88 % (3365329)Instructions burned: 2053 (million)
% 14.02/2.88 % (3365338)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2339905624:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 14.02/2.88 % (3365340)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3510913408:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2989 on theBenchmark for (2989ds/14534Mi)
% 14.02/2.88 % (3365316)First to succeed.
% 14.02/2.88 % (3365316)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3365310"
% 14.02/2.88 % (3365315)Also succeeded, but the first one will report.
% 14.02/2.88 % (3365317)Also succeeded, but the first one will report.
% 14.02/2.88 % (3365316)Refutation found. Thanks to Tanya!
% 14.02/2.88 % SZS status Unsatisfiable for theBenchmark
% 14.02/2.88 % SZS output start Proof for theBenchmark
% See solution above
% 14.74/3.08 % (3365316)------------------------------
% 14.74/3.08 % (3365316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.74/3.08 % (3365316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/3.08 % (3365316)CaDiCaL version: 2.1.3
% 14.74/3.08 % (3365316)Termination reason: Refutation
% 14.74/3.08 % (3365316)Time elapsed: 1.568 s
% 14.74/3.08 % (3365316)Peak memory usage: 143 MB
% 14.74/3.08 % (3365316)Instructions burned: 2558 (million)
% 14.74/3.08 % (3365316)------------------------------
% 14.74/3.08 % (3365316)------------------------------
% 14.74/3.08 % (3365310)Success in time 2.008 s
% 14.74/3.08 % Vampire exiting
%------------------------------------------------------------------------------