%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n006.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 10:18:27 AM UTC 2026
% Result : Unsatisfiable 34.30s 5.39s
% Output : Refutation 34.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 6
% Syntax : Number of formulae : 112 ( 112 unt; 0 def)
% Number of atoms : 112 ( 111 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 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 : 224 ( 224 !; 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,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f13,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),mult(X2,X1))) = mult(mult(X0,X2),X1),
inference(superposition,[],[f5,f1]) ).
fof(f17,plain,
! [X2,X0,X1] : mult(X0,X1) = mult(X1,mult(X2,mult(ld(mult(X1,X2),X0),X1))),
inference(superposition,[],[f5,f1]) ).
fof(f18,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = rd(mult(X0,mult(X1,mult(X2,X0))),X0),
inference(superposition,[],[f4,f5]) ).
fof(f22,plain,
! [X2,X0,X1] : mult(mult(X2,X1),ld(X1,X0)) = mult(ld(X1,X0),mult(ld(ld(X1,X0),X2),X0)),
inference(superposition,[],[f13,f1]) ).
fof(f24,plain,
! [X2,X0,X1] : mult(mult(X2,rd(X0,X1)),X1) = mult(X1,mult(ld(X1,X2),X0)),
inference(superposition,[],[f13,f3]) ).
fof(f27,plain,
! [X2,X0,X1] : rd(mult(mult(X0,X1),X2),mult(ld(X2,X0),mult(X1,X2))) = X2,
inference(superposition,[],[f4,f13]) ).
fof(f28,plain,
! [X2,X0,X1] : mult(ld(X2,X0),mult(X1,X2)) = ld(X2,mult(mult(X0,X1),X2)),
inference(superposition,[],[f2,f13]) ).
fof(f40,plain,
! [X2,X0,X1] : rd(mult(X0,X1),mult(X2,mult(ld(mult(X1,X2),X0),X1))) = X1,
inference(superposition,[],[f4,f17]) ).
fof(f41,plain,
! [X2,X0,X1] : mult(X2,mult(ld(mult(X1,X2),X0),X1)) = ld(X1,mult(X0,X1)),
inference(superposition,[],[f2,f17]) ).
fof(f49,plain,
! [X2,X0,X1] : mult(mult(X1,X2),rd(X0,X1)) = rd(mult(X1,mult(X2,X0)),X1),
inference(superposition,[],[f18,f3]) ).
fof(f53,plain,
! [X2,X0,X1] : mult(mult(X1,rd(X0,mult(X2,X1))),X2) = rd(mult(X1,X0),X1),
inference(superposition,[],[f18,f3]) ).
fof(f138,plain,
! [X2,X0,X1] : ld(X1,mult(X0,X1)) = mult(ld(X1,X2),mult(ld(X2,X0),X1)),
inference(superposition,[],[f28,f1]) ).
fof(f141,plain,
! [X2,X0,X1] : ld(X1,mult(X0,X1)) = mult(ld(X1,rd(X0,X2)),mult(X2,X1)),
inference(superposition,[],[f28,f3]) ).
fof(f197,plain,
! [X2,X0,X1] : mult(ld(mult(X0,X2),X1),X0) = ld(X2,ld(X0,mult(X1,X0))),
inference(superposition,[],[f2,f41]) ).
fof(f234,plain,
! [X2,X0,X1] : rd(mult(X1,X0),X1) = mult(mult(X1,rd(X0,X2)),rd(X2,X1)),
inference(superposition,[],[f49,f3]) ).
fof(f280,plain,
! [X2,X0,X1] : mult(X0,rd(X1,mult(X2,X0))) = rd(rd(mult(X0,X1),X0),X2),
inference(superposition,[],[f4,f53]) ).
fof(f566,plain,
! [X2,X0,X1] : ld(X0,X2) = rd(ld(X0,mult(X1,X0)),mult(ld(X2,X1),X0)),
inference(superposition,[],[f4,f138]) ).
fof(f638,plain,
! [X2,X0,X1] : ld(X0,rd(X1,X2)) = rd(ld(X0,mult(X1,X0)),mult(X2,X0)),
inference(superposition,[],[f4,f141]) ).
fof(f768,plain,
! [X2,X0,X1] : mult(ld(mult(X1,X2),rd(X0,X1)),X1) = ld(X2,ld(X1,X0)),
inference(superposition,[],[f197,f3]) ).
fof(f769,plain,
! [X0,X1] : ld(X1,X0) = mult(ld(mult(X0,X1),X0),X0),
inference(superposition,[],[f197,f2]) ).
fof(f792,plain,
! [X0,X1] : ld(ld(X1,X0),X1) = mult(ld(X0,X1),X1),
inference(superposition,[],[f769,f1]) ).
fof(f812,plain,
! [X0,X1] : ld(ld(mult(X1,X0),X1),ld(X0,X1)) = X1,
inference(superposition,[],[f2,f769]) ).
fof(f813,plain,
! [X0,X1] : ld(mult(X1,X0),X1) = rd(ld(X0,X1),X1),
inference(superposition,[],[f4,f769]) ).
fof(f867,plain,
! [X0,X1] : ld(X1,X0) = rd(X1,mult(ld(X0,X1),X1)),
inference(superposition,[],[f8,f792]) ).
fof(f952,plain,
! [X0,X1] : rd(X1,mult(X0,X1)) = ld(X1,rd(X1,X0)),
inference(superposition,[],[f867,f7]) ).
fof(f1588,plain,
! [X2,X0,X1] : rd(rd(X0,X1),X2) = mult(X1,rd(ld(X1,X0),mult(X2,X1))),
inference(superposition,[],[f280,f1]) ).
fof(f1960,plain,
! [X2,X0,X1] : ld(X1,X2) = rd(ld(X1,X0),mult(ld(X2,rd(X0,X1)),X1)),
inference(superposition,[],[f566,f3]) ).
fof(f2056,plain,
! [X2,X0,X1] : ld(X1,rd(rd(X0,X1),X2)) = rd(ld(X1,X0),mult(X2,X1)),
inference(superposition,[],[f638,f3]) ).
fof(f2079,plain,
! [X0,X1] : ld(mult(mult(X0,X1),X1),mult(X0,X1)) = ld(X1,rd(X0,X0)),
inference(superposition,[],[f638,f813]) ).
fof(f2129,plain,
! [X2,X0,X1] : ld(ld(X1,X0),ld(X1,X2)) = mult(ld(X0,rd(X2,X1)),X1),
inference(superposition,[],[f768,f1]) ).
fof(f2173,plain,
! [X2,X0,X1] : ld(ld(mult(X1,X0),rd(X2,X1)),ld(X0,ld(X1,X2))) = X1,
inference(superposition,[],[f2,f768]) ).
fof(f2174,plain,
! [X2,X0,X1] : ld(mult(X1,X0),rd(X2,X1)) = rd(ld(X0,ld(X1,X2)),X1),
inference(superposition,[],[f4,f768]) ).
fof(f2752,plain,
! [X2,X0,X1] : mult(X2,rd(ld(X2,X1),X0)) = rd(rd(X1,X2),rd(X0,X2)),
inference(superposition,[],[f1588,f3]) ).
fof(f4019,plain,
! [X2,X0,X1] : ld(ld(X1,X2),X0) = mult(ld(X2,rd(mult(X1,X0),X1)),X1),
inference(superposition,[],[f2129,f2]) ).
fof(f4156,plain,
! [X0,X1] : ld(ld(mult(X1,ld(mult(X0,X1),X0)),rd(X0,X1)),X0) = X1,
inference(superposition,[],[f2173,f812]) ).
fof(f4248,plain,
! [X0,X1] : rd(X0,X1) = ld(mult(X1,ld(mult(X0,X1),X0)),rd(X0,X1)),
inference(superposition,[],[f2174,f812]) ).
fof(f5370,plain,
! [X0] : ld(rd(X0,X0),rd(X0,X0)) = ld(rd(mult(X0,X0),X0),mult(X0,rd(X0,X0))),
inference(superposition,[],[f2079,f234]) ).
fof(f5471,plain,
! [X0] : ld(rd(X0,X0),rd(X0,X0)) = ld(X0,mult(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f5370,f4]) ).
fof(f5486,plain,
! [X0] : rd(X0,X0) = ld(rd(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[],[f5471,f2]) ).
fof(f5495,plain,
! [X0] : ld(X0,rd(X0,X0)) = rd(ld(X0,X0),mult(rd(X0,X0),X0)),
inference(superposition,[],[f1960,f5486]) ).
fof(f5499,plain,
! [X0] : rd(X0,X0) = mult(rd(X0,X0),rd(X0,X0)),
inference(superposition,[],[f1,f5486]) ).
fof(f5549,plain,
! [X0] : ld(X0,rd(X0,X0)) = ld(X0,rd(rd(X0,X0),rd(X0,X0))),
inference(forward_demodulation,[],[f5495,f2056]) ).
fof(f5569,plain,
! [X0] : ld(X0,rd(X0,X0)) = ld(X0,mult(X0,rd(ld(X0,X0),X0))),
inference(forward_demodulation,[],[f5549,f2752]) ).
fof(f5580,plain,
! [X0] : rd(ld(X0,X0),X0) = ld(X0,rd(X0,X0)),
inference(forward_demodulation,[],[f5569,f2]) ).
fof(f5584,plain,
! [X0] : ld(mult(X0,X0),X0) = ld(X0,rd(X0,X0)),
inference(forward_demodulation,[],[f5580,f813]) ).
fof(f5590,plain,
! [X0] : mult(rd(X0,X0),X0) = mult(X0,mult(ld(X0,rd(X0,X0)),X0)),
inference(superposition,[],[f24,f5499]) ).
fof(f5685,plain,
! [X0] : mult(X0,mult(ld(X0,rd(X0,X0)),X0)) = X0,
inference(forward_demodulation,[],[f5590,f3]) ).
fof(f5877,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,rd(X0,X0)),X0),
inference(superposition,[],[f769,f5584]) ).
fof(f5885,plain,
! [X0] : mult(X0,X0) = rd(X0,ld(X0,rd(X0,X0))),
inference(superposition,[],[f8,f5584]) ).
fof(f6112,plain,
! [X0] : ld(X0,mult(rd(X0,X0),X0)) = mult(ld(X0,X0),ld(X0,X0)),
inference(superposition,[],[f138,f5877]) ).
fof(f6207,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f6112,f3]) ).
fof(f8170,plain,
! [X0] : mult(ld(X0,rd(X0,X0)),X0) = ld(ld(mult(mult(ld(X0,rd(X0,X0)),X0),ld(X0,X0)),rd(X0,mult(ld(X0,rd(X0,X0)),X0))),X0),
inference(superposition,[],[f4156,f5685]) ).
fof(f8345,plain,
! [X0] : mult(ld(X0,rd(X0,X0)),X0) = ld(ld(mult(mult(ld(X0,rd(X0,X0)),X0),ld(X0,X0)),ld(X0,rd(X0,ld(X0,rd(X0,X0))))),X0),
inference(forward_demodulation,[],[f8170,f952]) ).
fof(f8377,plain,
! [X0] : mult(ld(X0,rd(X0,X0)),X0) = ld(ld(mult(mult(ld(X0,rd(X0,X0)),X0),ld(X0,X0)),ld(X0,mult(X0,X0))),X0),
inference(forward_demodulation,[],[f8345,f5885]) ).
fof(f8398,plain,
! [X0] : mult(ld(X0,rd(X0,X0)),X0) = ld(mult(ld(mult(X0,mult(mult(ld(X0,rd(X0,X0)),X0),ld(X0,X0))),X0),X0),X0),
inference(forward_demodulation,[],[f8377,f197]) ).
fof(f8407,plain,
! [X0] : mult(ld(X0,rd(X0,X0)),X0) = ld(ld(mult(mult(ld(X0,rd(X0,X0)),X0),ld(X0,X0)),X0),X0),
inference(forward_demodulation,[],[f8398,f769]) ).
fof(f8411,plain,
! [X0] : ld(X0,X0) = ld(ld(mult(ld(X0,X0),ld(X0,X0)),X0),X0),
inference(forward_demodulation,[],[f8407,f5877]) ).
fof(f8413,plain,
! [X0] : ld(X0,X0) = ld(ld(ld(X0,X0),X0),X0),
inference(forward_demodulation,[],[f8411,f6207]) ).
fof(f8414,plain,
! [X0] : ld(X0,X0) = ld(mult(ld(X0,X0),X0),X0),
inference(forward_demodulation,[],[f8413,f792]) ).
fof(f8423,plain,
! [X0] : ld(X0,X0) = rd(mult(X0,ld(X0,X0)),mult(X0,mult(ld(X0,X0),ld(X0,X0)))),
inference(superposition,[],[f40,f8414]) ).
fof(f8426,plain,
! [X0] : mult(ld(X0,X0),X0) = rd(X0,ld(X0,X0)),
inference(superposition,[],[f8,f8414]) ).
fof(f8488,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f8426,f8]) ).
fof(f8490,plain,
! [X0] : ld(X0,X0) = rd(mult(X0,ld(X0,X0)),mult(X0,ld(X0,X0))),
inference(forward_demodulation,[],[f8423,f6207]) ).
fof(f8503,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(forward_demodulation,[],[f8490,f1]) ).
fof(f8529,plain,
! [X0,X1] : mult(mult(X1,ld(X0,X0)),X0) = mult(X0,mult(ld(X0,X1),X0)),
inference(superposition,[],[f13,f8488]) ).
fof(f8541,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = mult(mult(X0,rd(X1,X0)),ld(X0,X0)),
inference(superposition,[],[f53,f8488]) ).
fof(f8547,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = mult(ld(X0,rd(X1,ld(X0,X0))),X0),
inference(superposition,[],[f141,f8488]) ).
fof(f8584,plain,
! [X0,X1] : ld(ld(ld(X0,X0),X1),X0) = mult(ld(X1,rd(X0,ld(X0,X0))),ld(X0,X0)),
inference(superposition,[],[f4019,f8488]) ).
fof(f8597,plain,
! [X0,X1] : ld(ld(ld(X0,X0),X1),X0) = mult(ld(X1,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f8584,f8]) ).
fof(f10483,plain,
! [X0,X1] : mult(X1,ld(mult(X0,X1),X0)) = rd(rd(X0,X1),rd(X0,X1)),
inference(superposition,[],[f8,f4248]) ).
fof(f10518,plain,
! [X0,X1] : ld(rd(X0,X1),rd(X0,X1)) = mult(X1,ld(mult(X0,X1),X0)),
inference(forward_demodulation,[],[f10483,f8503]) ).
fof(f37342,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(mult(ld(X1,X1),X0),X1),ld(X1,X1)),
inference(superposition,[],[f8597,f2]) ).
fof(f44155,plain,
! [X0,X1] : rd(mult(mult(X1,ld(ld(X1,X1),X0)),X1),mult(mult(X0,X1),ld(X1,X1))) = X1,
inference(superposition,[],[f27,f22]) ).
fof(f49308,plain,
! [X0,X1] : ld(X0,X0) = rd(mult(mult(ld(X0,X0),ld(ld(ld(X0,X0),ld(X0,X0)),mult(X0,rd(X1,X0)))),ld(X0,X0)),mult(rd(mult(X0,X1),X0),ld(ld(X0,X0),ld(X0,X0)))),
inference(superposition,[],[f44155,f8541]) ).
fof(f49460,plain,
! [X0,X1] : ld(X0,X0) = rd(mult(mult(ld(X0,X0),ld(mult(ld(X0,rd(X0,X0)),X0),mult(X0,rd(X1,X0)))),ld(X0,X0)),mult(rd(mult(X0,X1),X0),mult(ld(X0,rd(X0,X0)),X0))),
inference(forward_demodulation,[],[f49308,f2129]) ).
fof(f49562,plain,
! [X0,X1] : ld(X0,X0) = rd(mult(mult(ld(X0,X0),ld(ld(X0,X0),mult(X0,rd(X1,X0)))),ld(X0,X0)),mult(rd(mult(X0,X1),X0),ld(X0,X0))),
inference(forward_demodulation,[],[f49460,f5877]) ).
fof(f49639,plain,
! [X0,X1] : ld(X0,X0) = rd(mult(mult(X0,rd(X1,X0)),ld(X0,X0)),mult(rd(mult(X0,X1),X0),ld(X0,X0))),
inference(forward_demodulation,[],[f49562,f1]) ).
fof(f49695,plain,
! [X0,X1] : ld(X0,X0) = rd(rd(mult(X0,X1),X0),mult(rd(mult(X0,X1),X0),ld(X0,X0))),
inference(forward_demodulation,[],[f49639,f8541]) ).
fof(f49738,plain,
! [X0,X1] : ld(X0,X0) = mult(X0,rd(X1,mult(mult(rd(mult(X0,X1),X0),ld(X0,X0)),X0))),
inference(forward_demodulation,[],[f49695,f280]) ).
fof(f49772,plain,
! [X0,X1] : ld(X0,X0) = mult(X0,rd(X1,mult(X0,mult(ld(X0,rd(mult(X0,X1),X0)),X0)))),
inference(forward_demodulation,[],[f49738,f8529]) ).
fof(f49799,plain,
! [X0,X1] : ld(X0,X0) = mult(X0,rd(X1,mult(X0,ld(ld(X0,X0),X1)))),
inference(forward_demodulation,[],[f49772,f4019]) ).
fof(f50011,plain,
! [X0,X1] : mult(ld(ld(ld(X0,X0),ld(X0,X0)),X0),ld(X0,X0)) = ld(rd(X1,mult(ld(X0,X0),ld(ld(ld(X0,X0),ld(X0,X0)),X1))),X0),
inference(superposition,[],[f37342,f49799]) ).
fof(f50041,plain,
! [X0,X1] : mult(ld(mult(ld(X0,rd(X0,X0)),X0),X0),ld(X0,X0)) = ld(rd(X1,mult(ld(X0,X0),ld(mult(ld(X0,rd(X0,X0)),X0),X1))),X0),
inference(forward_demodulation,[],[f50011,f2129]) ).
fof(f50140,plain,
! [X0,X1] : mult(ld(ld(X0,X0),X0),ld(X0,X0)) = ld(rd(X1,mult(ld(X0,X0),ld(ld(X0,X0),X1))),X0),
inference(forward_demodulation,[],[f50041,f5877]) ).
fof(f50213,plain,
! [X0,X1] : ld(rd(X1,X1),X0) = mult(ld(ld(X0,X0),X0),ld(X0,X0)),
inference(forward_demodulation,[],[f50140,f1]) ).
fof(f50258,plain,
! [X0,X1] : ld(rd(X1,X1),X0) = mult(mult(ld(X0,X0),X0),ld(X0,X0)),
inference(forward_demodulation,[],[f50213,f792]) ).
fof(f50284,plain,
! [X0,X1] : ld(rd(X1,X1),X0) = mult(X0,ld(X0,X0)),
inference(forward_demodulation,[],[f50258,f8488]) ).
fof(f50304,plain,
! [X0,X1] : ld(rd(X1,X1),X0) = X0,
inference(forward_demodulation,[],[f50284,f1]) ).
fof(f50320,plain,
! [X0,X1] : ld(ld(X1,X1),X0) = X0,
inference(forward_demodulation,[],[f50304,f8503]) ).
fof(f50353,plain,
! [X0,X1] : mult(ld(X1,X1),X0) = X0,
inference(superposition,[],[f50320,f2]) ).
fof(f50401,plain,
! [X0,X1] : mult(ld(ld(X0,X0),rd(X1,ld(X0,X0))),ld(X0,X0)) = ld(ld(X0,X0),mult(X1,ld(X0,X0))),
inference(superposition,[],[f8547,f50320]) ).
fof(f50468,plain,
! [X0,X1] : rd(X0,X0) = ld(X1,X1),
inference(superposition,[],[f8,f50320]) ).
fof(f50737,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = mult(ld(ld(X0,X0),rd(X1,ld(X0,X0))),ld(X0,X0)),
inference(forward_demodulation,[],[f50401,f50320]) ).
fof(f50814,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = mult(rd(X1,ld(X0,X0)),ld(X0,X0)),
inference(forward_demodulation,[],[f50737,f50320]) ).
fof(f50848,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = X1,
inference(forward_demodulation,[],[f50814,f3]) ).
fof(f51202,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,f50353]) ).
fof(f51518,plain,
! [X0,X1] : tuple(x1(mult(X0,ld(mult(X1,X0),X1))),x1_2(mult(X0,ld(mult(X1,X0),X1)))) != tuple(x1(mult(X0,ld(mult(X1,X0),X1))),mult(x1_2(mult(X0,ld(mult(X1,X0),X1))),mult(X0,ld(mult(X1,X0),X1)))),
inference(superposition,[],[f51202,f10518]) ).
fof(f51773,plain,
! [X0,X1] : tuple(x1(ld(mult(X0,ld(X1,X1)),X0)),x1_2(ld(mult(X0,ld(X1,X1)),X0))) != tuple(x1(ld(mult(X0,ld(X1,X1)),X0)),mult(x1_2(ld(mult(X0,ld(X1,X1)),X0)),ld(mult(X0,ld(X1,X1)),X0))),
inference(superposition,[],[f51518,f50353]) ).
fof(f52856,plain,
! [X2,X0,X1] : tuple(x1(ld(mult(ld(X0,X0),mult(ld(ld(X0,X0),X1),X2)),mult(X1,rd(X2,ld(X0,X0))))),x1_2(ld(mult(ld(X0,X0),mult(ld(ld(X0,X0),X1),X2)),mult(X1,rd(X2,ld(X0,X0)))))) != tuple(x1(ld(mult(ld(X0,X0),mult(ld(ld(X0,X0),X1),X2)),mult(X1,rd(X2,ld(X0,X0))))),mult(x1_2(ld(mult(ld(X0,X0),mult(ld(ld(X0,X0),X1),X2)),mult(X1,rd(X2,ld(X0,X0))))),ld(mult(ld(X0,X0),mult(ld(ld(X0,X0),X1),X2)),mult(X1,rd(X2,ld(X0,X0)))))),
inference(superposition,[],[f51773,f24]) ).
fof(f52872,plain,
! [X2,X0,X1] : tuple(x1(ld(mult(ld(ld(X0,X0),X1),X2),mult(X1,rd(X2,ld(X0,X0))))),x1_2(ld(mult(ld(ld(X0,X0),X1),X2),mult(X1,rd(X2,ld(X0,X0)))))) != tuple(x1(ld(mult(ld(ld(X0,X0),X1),X2),mult(X1,rd(X2,ld(X0,X0))))),mult(x1_2(ld(mult(ld(ld(X0,X0),X1),X2),mult(X1,rd(X2,ld(X0,X0))))),ld(mult(ld(ld(X0,X0),X1),X2),mult(X1,rd(X2,ld(X0,X0)))))),
inference(forward_demodulation,[],[f52856,f50353]) ).
fof(f52906,plain,
! [X2,X0,X1] : tuple(x1(ld(mult(X1,X2),mult(X1,rd(X2,ld(X0,X0))))),x1_2(ld(mult(X1,X2),mult(X1,rd(X2,ld(X0,X0)))))) != tuple(x1(ld(mult(X1,X2),mult(X1,rd(X2,ld(X0,X0))))),mult(x1_2(ld(mult(X1,X2),mult(X1,rd(X2,ld(X0,X0))))),ld(mult(X1,X2),mult(X1,rd(X2,ld(X0,X0)))))),
inference(forward_demodulation,[],[f52872,f50320]) ).
fof(f63934,plain,
! [X2,X0,X1] : tuple(x1(ld(mult(X1,ld(X2,X2)),mult(X1,ld(X0,X0)))),x1_2(ld(mult(X1,ld(X2,X2)),mult(X1,ld(X0,X0))))) != tuple(x1(ld(mult(X1,ld(X2,X2)),mult(X1,ld(X0,X0)))),mult(x1_2(ld(mult(X1,ld(X2,X2)),mult(X1,ld(X0,X0)))),ld(mult(X1,ld(X2,X2)),mult(X1,ld(X0,X0))))),
inference(superposition,[],[f52906,f50468]) ).
fof(f92137,plain,
! [X0,X1] : tuple(x1(ld(mult(X0,ld(X1,X1)),mult(X0,ld(X1,X1)))),x1_2(ld(mult(X0,ld(X1,X1)),mult(X0,ld(X1,X1))))) != tuple(x1(ld(mult(X0,ld(X1,X1)),mult(X0,ld(X1,X1)))),x1_2(ld(mult(X0,ld(X1,X1)),mult(X0,ld(X1,X1))))),
inference(superposition,[],[f63934,f50848]) ).
fof(f92139,plain,
$false,
inference(trivial_inequality_removal,[],[f92137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP660-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n006.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 10:32:41 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.02/2.82 % (2780255)Will run a generic schedule for satisfiability detection.
% 16.02/2.82 % (2780264)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2388898880:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.02/2.82 % (2780260)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1109044100_2999 on theBenchmark for (2999ds/0Mi)
% 16.02/2.82 % (2780261)% WARNING: option uhcvi not known.
% 16.02/2.82 % (2780262)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=103028406:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.02/2.82 % (2780263)dis+10_1_sil=32000:sp=arity:random_seed=1610994382:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.02/2.82 % (2780265)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=118347259:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.02/2.82 % (2780266)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2663485504:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.02/2.82 % TRYING [1]
% 16.02/2.82 % TRYING [2]
% 16.02/2.82 % TRYING [3]
% 16.02/2.82 % (2780261)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=946644611:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.02/2.82 % TRYING [4]
% 16.02/2.82 % TRYING [5]
% 16.02/2.82 % (2780264)Instruction limit reached!
% 16.02/2.82 % (2780264)------------------------------
% 16.02/2.82 % (2780264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.82 % (2780264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.82 % (2780264)CaDiCaL version: 2.1.3
% 16.02/2.82 % (2780264)Termination reason: Instruction limit
% 16.02/2.82 % (2780264)Termination phase: Saturation
% 16.02/2.82 % (2780264)Time elapsed: 0.040 s
% 16.02/2.82 % (2780264)Peak memory usage: 13 MB
% 16.02/2.82 % (2780264)Instructions burned: 118 (million)
% 16.02/2.82 % (2780274)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1926106573:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.02/2.82 % TRYING [1]
% 16.02/2.82 % TRYING [2]
% 16.02/2.82 % TRYING [3]
% 16.02/2.82 % TRYING [4]
% 16.02/2.82 % TRYING [5]
% 16.02/2.82 % (2780263)Instruction limit reached!
% 16.02/2.82 % (2780263)------------------------------
% 16.02/2.82 % (2780263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.82 % (2780263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.82 % (2780263)CaDiCaL version: 2.1.3
% 16.02/2.82 % (2780263)Termination reason: Instruction limit
% 16.02/2.82 % (2780263)Termination phase: Saturation
% 16.02/2.82 % (2780263)Time elapsed: 0.059 s
% 16.02/2.82 % (2780263)Peak memory usage: 12 MB
% 16.02/2.82 % (2780263)Instructions burned: 103 (million)
% 16.02/2.82 % TRYING [6]
% 16.02/2.82 % (2780276)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=990353211:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 16.02/2.82 % TRYING [6]
% 16.02/2.82 % (2780266)Instruction limit reached!
% 16.02/2.82 % (2780266)------------------------------
% 16.02/2.82 % (2780266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.82 % (2780266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.82 % (2780266)CaDiCaL version: 2.1.3
% 16.02/2.82 % (2780266)Termination reason: Instruction limit
% 16.02/2.82 % (2780266)Termination phase: Saturation
% 16.02/2.82 % (2780266)Time elapsed: 0.097 s
% 16.02/2.82 % (2780266)Peak memory usage: 13 MB
% 16.02/2.82 % (2780266)Instructions burned: 160 (million)
% 16.02/2.82 % (2780278)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3870864750:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.02/2.82 % (2780265)Instruction limit reached!
% 16.02/2.82 % (2780265)------------------------------
% 16.02/2.82 % (2780265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.82 % (2780265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.82 % (2780265)CaDiCaL version: 2.1.3
% 16.02/2.82 % (2780265)Termination reason: Instruction limit
% 16.02/2.82 % (2780265)Termination phase: Saturation
% 16.02/2.82 % (2780265)Time elapsed: 0.121 s
% 16.02/2.82 % (2780265)Peak memory usage: 22 MB
% 16.02/2.82 % (2780265)Instructions burned: 133 (million)
% 16.02/2.82 % (2780280)ott-21_1_sil=16000:fs=off:random_seed=3122081674:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.02/2.82 % (2780276)Instruction limit reached!
% 16.02/2.82 % (2780276)------------------------------
% 16.02/2.82 % (2780276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780276)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780276)Termination reason: Instruction limit
% 34.30/5.39 % (2780276)Termination phase: Saturation
% 34.30/5.39 % (2780276)Time elapsed: 0.086 s
% 34.30/5.39 % (2780276)Peak memory usage: 13 MB
% 34.30/5.39 % (2780276)Instructions burned: 132 (million)
% 34.30/5.39 % (2780282)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3288740138:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 34.30/5.39 % (2780280)Instruction limit reached!
% 34.30/5.39 % (2780280)------------------------------
% 34.30/5.39 % (2780280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780280)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780280)Termination reason: Instruction limit
% 34.30/5.39 % (2780280)Termination phase: Saturation
% 34.30/5.39 % (2780280)Time elapsed: 0.087 s
% 34.30/5.39 % (2780280)Peak memory usage: 11 MB
% 34.30/5.39 % (2780280)Instructions burned: 180 (million)
% 34.30/5.39 % TRYING [7]
% 34.30/5.39 % (2780284)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4137129493:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 34.30/5.39 % TRYING [1]
% 34.30/5.39 % TRYING [2]
% 34.30/5.39 % (2780274)Instruction limit reached!
% 34.30/5.39 % (2780274)------------------------------
% 34.30/5.39 % (2780274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780274)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780274)Termination reason: Instruction limit
% 34.30/5.39 % (2780274)Termination phase: Finite model building constraint generation
% 34.30/5.39 % (2780274)Time elapsed: 0.209 s
% 34.30/5.39 % (2780274)Peak memory usage: 22 MB
% 34.30/5.39 % (2780274)Instructions burned: 718 (million)
% 34.30/5.39 % TRYING [3]
% 34.30/5.39 % TRYING [4]
% 34.30/5.39 % (2780286)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2724260541:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 34.30/5.39 % TRYING [5]
% 34.30/5.39 % TRYING [6]
% 34.30/5.39 % TRYING [7]
% 34.30/5.39 % (2780282)Instruction limit reached!
% 34.30/5.39 % (2780282)------------------------------
% 34.30/5.39 % (2780282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780282)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780282)Termination reason: Instruction limit
% 34.30/5.39 % (2780282)Termination phase: Saturation
% 34.30/5.39 % (2780282)Time elapsed: 0.268 s
% 34.30/5.39 % (2780282)Peak memory usage: 16 MB
% 34.30/5.39 % (2780282)Instructions burned: 478 (million)
% 34.30/5.39 % (2780288)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2967157953:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 34.30/5.39 % (2780278)Instruction limit reached!
% 34.30/5.39 % (2780278)------------------------------
% 34.30/5.39 % (2780278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780278)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780278)Termination reason: Instruction limit
% 34.30/5.39 % (2780278)Termination phase: Saturation
% 34.30/5.39 % (2780278)Time elapsed: 0.380 s
% 34.30/5.39 % (2780278)Peak memory usage: 19 MB
% 34.30/5.39 % (2780278)Instructions burned: 685 (million)
% 34.30/5.39 % (2780290)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1128334060:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 34.30/5.39 % TRYING [14]
% 34.30/5.39 % TRYING [7]
% 34.30/5.39 % (2780284)Instruction limit reached!
% 34.30/5.39 % (2780284)------------------------------
% 34.30/5.39 % (2780284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780284)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780284)Termination reason: Instruction limit
% 34.30/5.39 % (2780284)Termination phase: Finite model building SAT solving
% 34.30/5.39 % (2780284)Time elapsed: 0.396 s
% 34.30/5.39 % (2780284)Peak memory usage: 20 MB
% 34.30/5.39 % (2780284)Instructions burned: 867 (million)
% 34.30/5.39 % (2780286)Instruction limit reached!
% 34.30/5.39 % (2780286)------------------------------
% 34.30/5.39 % (2780286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780286)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780286)Termination reason: Instruction limit
% 34.30/5.39 % (2780286)Termination phase: Saturation
% 34.30/5.39 % (2780286)Time elapsed: 0.392 s
% 34.30/5.39 % (2780286)Peak memory usage: 26 MB
% 34.30/5.39 % (2780286)Instructions burned: 1181 (million)
% 34.30/5.39 % (2780292)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1217609592:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 34.30/5.39 % (2780293)fmb+10_1_sil=64000:random_seed=2022926280:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 34.30/5.39 % TRYING [1]
% 34.30/5.39 % TRYING [2]
% 34.30/5.39 % TRYING [3]
% 34.30/5.39 % TRYING [4]
% 34.30/5.39 % TRYING [5]
% 34.30/5.39 % TRYING [6]
% 34.30/5.39 % (2780288)Instruction limit reached!
% 34.30/5.39 % (2780288)------------------------------
% 34.30/5.39 % (2780288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780288)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780288)Termination reason: Instruction limit
% 34.30/5.39 % (2780288)Termination phase: Finite model building constraint generation
% 34.30/5.39 % (2780288)Time elapsed: 0.324 s
% 34.30/5.39 % (2780288)Peak memory usage: 76 MB
% 34.30/5.39 % (2780288)Instructions burned: 891 (million)
% 34.30/5.39 % (2780296)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3140913392:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 34.30/5.39 % TRYING [20]
% 34.30/5.39 % TRYING [7]
% 34.30/5.39 % (2780290)Instruction limit reached!
% 34.30/5.39 % (2780290)------------------------------
% 34.30/5.39 % (2780290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780290)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780290)Termination reason: Instruction limit
% 34.30/5.39 % (2780290)Termination phase: Saturation
% 34.30/5.39 % (2780290)Time elapsed: 0.438 s
% 34.30/5.39 % (2780290)Peak memory usage: 21 MB
% 34.30/5.39 % (2780290)Instructions burned: 693 (million)
% 34.30/5.39 % (2780298)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1033941272:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 34.30/5.39 % TRYING [8]
% 34.30/5.39 % (2780292)Instruction limit reached!
% 34.30/5.39 % (2780292)------------------------------
% 34.30/5.39 % (2780292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780292)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780292)Termination reason: Instruction limit
% 34.30/5.39 % (2780292)Termination phase: Saturation
% 34.30/5.39 % (2780292)Time elapsed: 0.482 s
% 34.30/5.39 % (2780292)Peak memory usage: 19 MB
% 34.30/5.39 % (2780292)Instructions burned: 880 (million)
% 34.30/5.39 % (2780300)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=680684927:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 34.30/5.39 % TRYING [8]
% 34.30/5.39 % (2780298)Instruction limit reached!
% 34.30/5.39 % (2780298)------------------------------
% 34.30/5.39 % (2780298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780298)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780298)Termination reason: Instruction limit
% 34.30/5.39 % (2780298)Termination phase: Finite model building SAT solving
% 34.30/5.39 % (2780298)Time elapsed: 0.518 s
% 34.30/5.39 % (2780298)Peak memory usage: 45 MB
% 34.30/5.39 % (2780298)Instructions burned: 921 (million)
% 34.30/5.39 % (2780302)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3175049577:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 34.30/5.39 % TRYING [8]
% 34.30/5.39 % (2780302)Instruction limit reached!
% 34.30/5.39 % (2780302)------------------------------
% 34.30/5.39 % (2780302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780302)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780302)Termination reason: Instruction limit
% 34.30/5.39 % (2780302)Termination phase: Saturation
% 34.30/5.39 % (2780302)Time elapsed: 0.822 s
% 34.30/5.39 % (2780302)Peak memory usage: 37 MB
% 34.30/5.39 % (2780302)Instructions burned: 1473 (million)
% 34.30/5.39 % (2780304)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2177373867:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 34.30/5.39 % TRYING [77]
% 34.30/5.39 % (2780300)Instruction limit reached!
% 34.30/5.39 % (2780300)------------------------------
% 34.30/5.39 % (2780300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780300)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780300)Termination reason: Instruction limit
% 34.30/5.39 % (2780300)Termination phase: Saturation
% 34.30/5.39 % (2780300)Time elapsed: 2.828 s
% 34.30/5.39 % (2780300)Peak memory usage: 51 MB
% 34.30/5.39 % (2780300)Instructions burned: 5132 (million)
% 34.30/5.39 % (2780306)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3527161207:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 34.30/5.39 % TRYING [16]
% 34.30/5.39 % (2780296)Instruction limit reached!
% 34.30/5.39 % (2780296)------------------------------
% 34.30/5.39 % (2780296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780296)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780296)Termination reason: Instruction limit
% 34.30/5.39 % (2780296)Termination phase: Finite model building constraint generation
% 34.30/5.39 % (2780296)Time elapsed: 3.727 s
% 34.30/5.39 % (2780296)Peak memory usage: 721 MB
% 34.30/5.39 % (2780296)Instructions burned: 9515 (million)
% 34.30/5.39 % TRYING [9]
% 34.30/5.39 % (2780308)ott-2_1_sil=16000:newcnf=on:random_seed=2899069578:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2953 on theBenchmark for (2953ds/869Mi)
% 34.30/5.39 % (2780306)Instruction limit reached!
% 34.30/5.39 % (2780306)------------------------------
% 34.30/5.39 % (2780306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780306)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780306)Termination reason: Instruction limit
% 34.30/5.39 % (2780306)Termination phase: Finite model building constraint generation
% 34.30/5.39 % (2780306)Time elapsed: 0.726 s
% 34.30/5.39 % (2780306)Peak memory usage: 133 MB
% 34.30/5.39 % (2780306)Instructions burned: 2175 (million)
% 34.30/5.39 % (2780304)Instruction limit reached!
% 34.30/5.39 % (2780304)------------------------------
% 34.30/5.39 % (2780304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780304)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780304)Termination reason: Instruction limit
% 34.30/5.39 % (2780304)Termination phase: Finite model building constraint generation
% 34.30/5.39 % (2780304)Time elapsed: 2.388 s
% 34.30/5.39 % (2780304)Peak memory usage: 523 MB
% 34.30/5.39 % (2780304)Instructions burned: 6326 (million)
% 34.30/5.39 % (2780310)ott+10_1_sil=32000:tgt=ground:random_seed=3731998357:i=5114:av=off_2951 on theBenchmark for (2951ds/5114Mi)
% 34.30/5.39 % (2780312)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1355093445:i=54282_2951 on theBenchmark for (2951ds/54282Mi)
% 34.30/5.39 % TRYING [1]
% 34.30/5.39 % TRYING [2]
% 34.30/5.39 % TRYING [3]
% 34.30/5.39 % TRYING [4]
% 34.30/5.39 % TRYING [5]
% 34.30/5.39 % TRYING [6]
% 34.30/5.39 % (2780262) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2780255-2780262"...
% 34.30/5.39 % (2780262)...printing done.
% 34.30/5.39 % (2780262)Refutation found. Thanks to Tanya!
% 34.30/5.39 % SZS status Unsatisfiable for theBenchmark
% 34.30/5.39 % SZS output start Proof for theBenchmark
% See solution above
% 34.30/5.39 % (2780262)------------------------------
% 34.30/5.39 % (2780262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.30/5.39 % (2780262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.39 % (2780262)CaDiCaL version: 2.1.3
% 34.30/5.39 % (2780262)Termination reason: Refutation
% 34.30/5.39 % (2780262)Time elapsed: 4.908 s
% 34.30/5.39 % (2780262)Peak memory usage: 69 MB
% 34.30/5.39 % (2780262)Instructions burned: 13358 (million)
% 34.30/5.39 % (2780255)Success in time 4.967 s
% 34.30/5.39 % Vampire exiting
%------------------------------------------------------------------------------