%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP718-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 10:16:02 AM UTC 2026
% Result : Unsatisfiable 65.70s 10.11s
% Output : Refutation 66.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 10
% Syntax : Number of formulae : 174 ( 174 unt; 0 def)
% Number of atoms : 174 ( 173 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 447 ( 447 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
fof(f7,axiom,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X0,X1] : mult(mult(X0,X1),i(X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
fof(f9,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,mult(X0,X1))) = mult(mult(mult(X0,mult(X1,X2)),X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).
fof(f10,axiom,
! [X0,X1] : mult(X0,X1) = mult(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
fof(f11,negated_conjecture,
mult(mult(a,a),mult(mult(b,c),mult(a,a))) != mult(mult(mult(a,a),b),mult(c,mult(a,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f12,plain,
mult(mult(a,a),mult(mult(b,c),mult(a,a))) != mult(mult(c,mult(a,a)),mult(mult(a,a),b)),
inference(backward_demodulation,[],[f11,f10]) ).
fof(f13,plain,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,mult(X0,X1))) = mult(X1,mult(mult(X0,mult(X1,X2)),X0)),
inference(forward_demodulation,[],[f9,f10]) ).
fof(f14,plain,
! [X0,X1] : mult(i(X1),mult(X0,X1)) = X0,
inference(forward_demodulation,[],[f8,f10]) ).
fof(f15,plain,
! [X0,X1] : mult(X1,rd(X0,X1)) = X0,
inference(forward_demodulation,[],[f3,f10]) ).
fof(f16,plain,
mult(mult(a,a),mult(mult(b,c),mult(a,a))) != mult(mult(c,mult(a,a)),mult(b,mult(a,a))),
inference(forward_demodulation,[],[f12,f10]) ).
fof(f17,plain,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,mult(X0,X1))) = mult(X1,mult(X0,mult(X0,mult(X1,X2)))),
inference(forward_demodulation,[],[f13,f10]) ).
fof(f18,plain,
mult(mult(a,a),mult(mult(b,c),mult(a,a))) != mult(mult(b,mult(a,a)),mult(c,mult(a,a))),
inference(forward_demodulation,[],[f16,f10]) ).
fof(f19,plain,
mult(mult(b,mult(a,a)),mult(c,mult(a,a))) != mult(a,mult(a,mult(a,mult(a,mult(b,c))))),
inference(forward_demodulation,[],[f18,f17]) ).
fof(f26,plain,
! [X0] : unit = mult(i(X0),X0),
inference(superposition,[],[f14,f6]) ).
fof(f33,plain,
! [X0] : unit = mult(X0,i(X0)),
inference(forward_demodulation,[],[f26,f10]) ).
fof(f44,plain,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,mult(X0,X1))) = mult(X0,mult(X1,mult(X1,mult(X0,X2)))),
inference(superposition,[],[f17,f10]) ).
fof(f46,plain,
! [X2,X0,X1] : mult(X0,mult(X2,X0)) = mult(rd(X0,X1),mult(X1,mult(X1,mult(rd(X0,X1),X2)))),
inference(superposition,[],[f17,f15]) ).
fof(f49,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = mult(X0,mult(unit,mult(unit,mult(X0,X1)))),
inference(superposition,[],[f17,f6]) ).
fof(f50,plain,
! [X2,X0,X1] : mult(X0,mult(X2,X0)) = mult(mult(X0,X1),mult(i(X1),mult(i(X1),mult(mult(X0,X1),X2)))),
inference(superposition,[],[f17,f14]) ).
fof(f52,plain,
! [X2,X0,X1] : mult(X1,mult(X0,mult(X0,mult(X1,X2)))) = mult(mult(X0,X1),mult(mult(X0,X1),X2)),
inference(superposition,[],[f17,f10]) ).
fof(f54,plain,
! [X0,X1] : mult(X1,mult(X0,mult(X0,mult(X1,unit)))) = mult(mult(X0,X1),mult(X0,X1)),
inference(superposition,[],[f17,f6]) ).
fof(f55,plain,
! [X0,X1] : mult(X1,mult(X0,mult(X0,mult(X1,i(X1))))) = mult(mult(X0,X1),X0),
inference(superposition,[],[f17,f14]) ).
fof(f57,plain,
! [X0,X1] : mult(X1,mult(X0,mult(X0,mult(X1,i(X1))))) = mult(X0,mult(X0,X1)),
inference(forward_demodulation,[],[f55,f10]) ).
fof(f58,plain,
! [X0,X1] : mult(mult(X0,X1),mult(X0,X1)) = mult(X1,mult(X0,mult(X0,X1))),
inference(forward_demodulation,[],[f54,f5]) ).
fof(f59,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = mult(X0,mult(unit,mult(X0,X1))),
inference(forward_demodulation,[],[f49,f6]) ).
fof(f62,plain,
! [X2,X0,X1] : mult(X1,mult(X0,mult(X0,mult(X1,X2)))) = mult(X0,mult(X1,mult(X1,mult(X0,X2)))),
inference(forward_demodulation,[],[f44,f17]) ).
fof(f64,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(X1,mult(X0,mult(X0,unit))),
inference(forward_demodulation,[],[f57,f33]) ).
fof(f66,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = mult(X0,mult(X0,X1)),
inference(forward_demodulation,[],[f59,f6]) ).
fof(f70,plain,
! [X2,X0,X1] : mult(X0,mult(X2,X0)) = mult(i(X1),mult(mult(X0,X1),mult(mult(X0,X1),mult(i(X1),X2)))),
inference(backward_demodulation,[],[f50,f62]) ).
fof(f71,plain,
! [X2,X0,X1] : mult(X0,mult(X2,X0)) = mult(X1,mult(rd(X0,X1),mult(rd(X0,X1),mult(X1,X2)))),
inference(backward_demodulation,[],[f46,f62]) ).
fof(f72,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(X1,mult(X0,X0)),
inference(forward_demodulation,[],[f64,f5]) ).
fof(f74,plain,
! [X2,X0,X1] : mult(X0,mult(X2,X0)) = mult(i(X1),mult(X1,mult(X0,mult(X0,mult(X1,mult(i(X1),X2)))))),
inference(forward_demodulation,[],[f70,f52]) ).
fof(f75,plain,
mult(a,mult(a,mult(a,mult(a,mult(b,c))))) != mult(mult(a,mult(a,b)),mult(c,mult(a,a))),
inference(backward_demodulation,[],[f19,f72]) ).
fof(f77,plain,
! [X2,X0,X1] : mult(X0,mult(X2,X0)) = mult(X0,mult(X0,mult(X1,mult(i(X1),X2)))),
inference(forward_demodulation,[],[f74,f7]) ).
fof(f78,plain,
mult(a,mult(a,mult(a,mult(a,mult(b,c))))) != mult(mult(a,mult(a,b)),mult(a,mult(a,c))),
inference(forward_demodulation,[],[f75,f72]) ).
fof(f82,plain,
! [X0,X1] : mult(X0,mult(X1,X1)) = mult(X1,mult(X0,X1)),
inference(superposition,[],[f72,f10]) ).
fof(f104,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
inference(superposition,[],[f10,f72]) ).
fof(f141,plain,
! [X2,X0,X1] : mult(X1,mult(X2,mult(X2,mult(X1,ld(mult(X2,X1),X0))))) = mult(mult(X2,X1),X0),
inference(superposition,[],[f52,f1]) ).
fof(f143,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X1,mult(X2,mult(X0,X0))))) = mult(mult(X1,X2),mult(X0,mult(X0,mult(X1,X2)))),
inference(superposition,[],[f52,f72]) ).
fof(f211,plain,
! [X0,X1] : mult(X1,mult(unit,X1)) = mult(X0,mult(rd(X1,X0),mult(rd(X1,X0),X0))),
inference(superposition,[],[f71,f5]) ).
fof(f236,plain,
! [X0,X1] : mult(X1,mult(unit,X1)) = mult(X0,mult(rd(X1,X0),mult(X0,rd(X1,X0)))),
inference(forward_demodulation,[],[f211,f66]) ).
fof(f252,plain,
! [X0,X1] : mult(X1,mult(unit,X1)) = mult(X0,mult(X0,mult(rd(X1,X0),rd(X1,X0)))),
inference(forward_demodulation,[],[f236,f82]) ).
fof(f265,plain,
! [X0,X1] : mult(X1,X1) = mult(X0,mult(X0,mult(rd(X1,X0),rd(X1,X0)))),
inference(forward_demodulation,[],[f252,f6]) ).
fof(f282,plain,
! [X2,X0,X1] : mult(X1,mult(X1,mult(X2,X0))) = mult(X1,mult(mult(X0,X2),X1)),
inference(superposition,[],[f77,f14]) ).
fof(f314,plain,
! [X0,X1] : mult(unit,mult(X0,unit)) = mult(unit,mult(X1,mult(i(X1),X0))),
inference(superposition,[],[f6,f77]) ).
fof(f317,plain,
! [X0,X1] : mult(X1,mult(i(X1),X0)) = mult(unit,mult(X0,unit)),
inference(forward_demodulation,[],[f314,f6]) ).
fof(f339,plain,
! [X0,X1] : mult(X0,unit) = mult(X1,mult(i(X1),X0)),
inference(forward_demodulation,[],[f317,f6]) ).
fof(f350,plain,
! [X0,X1] : mult(X1,mult(i(X1),X0)) = X0,
inference(forward_demodulation,[],[f339,f5]) ).
fof(f491,plain,
! [X2,X0,X1] : mult(X0,mult(mult(X1,X2),X0)) = mult(mult(X2,X1),mult(X0,X0)),
inference(superposition,[],[f72,f282]) ).
fof(f504,plain,
! [X2,X3,X0,X1] : mult(mult(X0,X1),mult(mult(X0,X1),mult(X2,X3))) = mult(X1,mult(X0,mult(X0,mult(X1,mult(X3,X2))))),
inference(superposition,[],[f17,f282]) ).
fof(f511,plain,
! [X2,X3,X0,X1] : mult(X1,mult(X0,mult(X0,mult(X1,mult(X3,X2))))) = mult(X1,mult(X0,mult(X0,mult(X1,mult(X2,X3))))),
inference(forward_demodulation,[],[f504,f52]) ).
fof(f595,plain,
! [X0,X1] : ld(X1,mult(X0,X1)) = X0,
inference(superposition,[],[f2,f10]) ).
fof(f601,plain,
! [X2,X0,X1] : mult(X0,mult(X2,X1)) = ld(X0,mult(X0,mult(mult(X1,X2),X0))),
inference(superposition,[],[f2,f282]) ).
fof(f602,plain,
! [X0,X1] : rd(X0,X1) = ld(X1,X0),
inference(superposition,[],[f2,f15]) ).
fof(f607,plain,
! [X0,X1] : mult(X0,X1) = ld(i(X1),X0),
inference(superposition,[],[f2,f14]) ).
fof(f617,plain,
! [X0,X1] : mult(X1,X1) = mult(X0,mult(X0,mult(ld(X0,X1),ld(X0,X1)))),
inference(backward_demodulation,[],[f265,f602]) ).
fof(f623,plain,
! [X2,X0,X1] : mult(mult(X1,X2),X0) = mult(X0,mult(X2,X1)),
inference(forward_demodulation,[],[f601,f2]) ).
fof(f674,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(X0,mult(X2,X1)),
inference(superposition,[],[f10,f623]) ).
fof(f687,plain,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,mult(X0,X2)))) = mult(mult(X1,X0),mult(mult(X0,X1),X2)),
inference(superposition,[],[f17,f623]) ).
fof(f692,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X1,X0),X2),
inference(superposition,[],[f10,f623]) ).
fof(f786,plain,
! [X2,X3,X0,X1] : mult(X3,mult(mult(X1,X0),X2)) = mult(X3,mult(mult(X0,X1),X2)),
inference(superposition,[],[f674,f623]) ).
fof(f1344,plain,
! [X0,X1] : i(X1) = ld(mult(X0,X1),X0),
inference(superposition,[],[f595,f14]) ).
fof(f1501,plain,
! [X2,X3,X0,X1] : mult(mult(X0,mult(mult(X1,X2),X0)),mult(mult(X0,mult(mult(X1,X2),X0)),X3)) = mult(mult(X0,X0),mult(mult(X2,X1),mult(mult(X2,X1),mult(mult(X0,X0),X3)))),
inference(superposition,[],[f52,f491]) ).
fof(f1515,plain,
! [X2,X3,X0,X1] : mult(X3,mult(X0,mult(mult(X1,X2),X0))) = mult(X3,mult(mult(X0,X0),mult(X2,X1))),
inference(superposition,[],[f674,f491]) ).
fof(f1520,plain,
! [X2,X3,X0,X1] : mult(X3,mult(X0,mult(X0,mult(X2,X1)))) = mult(X3,mult(X0,mult(mult(X1,X2),X0))),
inference(forward_demodulation,[],[f1515,f104]) ).
fof(f1533,plain,
! [X2,X3,X0,X1] : mult(mult(X0,mult(mult(X1,X2),X0)),mult(mult(X0,mult(mult(X1,X2),X0)),X3)) = mult(X0,mult(X0,mult(mult(X2,X1),mult(mult(X2,X1),mult(mult(X0,X0),X3))))),
inference(forward_demodulation,[],[f1501,f104]) ).
fof(f1624,plain,
! [X2,X3,X0,X1] : mult(mult(X0,mult(mult(X1,X2),X0)),mult(mult(X0,mult(mult(X1,X2),X0)),X3)) = mult(X0,mult(X0,mult(X1,mult(X2,mult(X2,mult(X1,mult(mult(X0,X0),X3))))))),
inference(forward_demodulation,[],[f1533,f52]) ).
fof(f1668,plain,
! [X2,X3,X0,X1] : mult(mult(X0,mult(mult(X1,X2),X0)),mult(mult(X0,mult(mult(X1,X2),X0)),X3)) = mult(X0,mult(X0,mult(X1,mult(X2,mult(X2,mult(X1,mult(X0,mult(X0,X3)))))))),
inference(forward_demodulation,[],[f1624,f104]) ).
fof(f1681,plain,
! [X2,X3,X0,X1] : mult(mult(mult(X1,X2),X0),mult(X0,mult(X0,mult(mult(mult(X1,X2),X0),X3)))) = mult(X0,mult(X0,mult(X1,mult(X2,mult(X2,mult(X1,mult(X0,mult(X0,X3)))))))),
inference(forward_demodulation,[],[f1668,f52]) ).
fof(f1693,plain,
! [X2,X3,X0,X1] : mult(X0,mult(mult(mult(X1,X2),X0),mult(mult(mult(X1,X2),X0),mult(X0,X3)))) = mult(X0,mult(X0,mult(X1,mult(X2,mult(X2,mult(X1,mult(X0,mult(X0,X3)))))))),
inference(forward_demodulation,[],[f1681,f62]) ).
fof(f1701,plain,
! [X2,X3,X0,X1] : mult(X0,mult(X0,mult(mult(X1,X2),mult(mult(X1,X2),mult(X0,mult(X0,X3)))))) = mult(X0,mult(X0,mult(X1,mult(X2,mult(X2,mult(X1,mult(X0,mult(X0,X3)))))))),
inference(forward_demodulation,[],[f1693,f52]) ).
fof(f1705,plain,
! [X2,X3,X0,X1] : mult(X0,mult(X0,mult(X2,mult(X1,mult(X1,mult(X2,mult(X0,mult(X0,X3)))))))) = mult(X0,mult(X0,mult(X1,mult(X2,mult(X2,mult(X1,mult(X0,mult(X0,X3)))))))),
inference(forward_demodulation,[],[f1701,f52]) ).
fof(f1773,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X1,X0))) = mult(X1,mult(X2,mult(X2,mult(X1,ld(X2,X0))))),
inference(superposition,[],[f62,f1]) ).
fof(f1786,plain,
! [X0,X1] : mult(X1,mult(X0,mult(X0,mult(X1,unit)))) = mult(X0,mult(X1,mult(X1,X0))),
inference(superposition,[],[f62,f5]) ).
fof(f1855,plain,
! [X2,X0,X1] : mult(X0,mult(X0,mult(X1,X2))) = ld(X1,mult(X0,mult(X1,mult(X1,mult(X0,X2))))),
inference(superposition,[],[f2,f62]) ).
fof(f1942,plain,
! [X0,X1] : mult(X1,mult(X0,mult(X0,X1))) = mult(X0,mult(X1,mult(X1,X0))),
inference(forward_demodulation,[],[f1786,f5]) ).
fof(f2196,plain,
! [X0,X1] : mult(X0,X0) = mult(ld(X1,X0),mult(X1,X0)),
inference(superposition,[],[f58,f1]) ).
fof(f2221,plain,
! [X0,X1] : mult(X0,X0) = mult(mult(X0,X1),mult(i(X1),X0)),
inference(superposition,[],[f58,f14]) ).
fof(f2244,plain,
! [X0,X1] : mult(X0,mult(X1,mult(X1,X0))) = mult(mult(X1,X0),mult(X0,X1)),
inference(superposition,[],[f674,f58]) ).
fof(f2309,plain,
! [X0,X1] : mult(X0,X0) = mult(mult(X1,X0),ld(X1,X0)),
inference(forward_demodulation,[],[f2196,f10]) ).
fof(f2802,plain,
! [X0,X1] : mult(X1,mult(ld(X1,X0),ld(X1,X0))) = mult(ld(X1,X0),X0),
inference(superposition,[],[f82,f1]) ).
fof(f3021,plain,
! [X0,X1] : mult(X1,mult(ld(X1,X0),ld(X1,X0))) = mult(X0,ld(X1,X0)),
inference(forward_demodulation,[],[f2802,f10]) ).
fof(f3087,plain,
! [X0,X1] : mult(X1,X1) = mult(X0,mult(X1,ld(X0,X1))),
inference(backward_demodulation,[],[f617,f3021]) ).
fof(f3722,plain,
! [X0,X1] : mult(mult(X0,X1),mult(X0,X0)) = mult(X1,mult(X0,mult(X0,mult(X1,mult(i(X1),X0))))),
inference(superposition,[],[f52,f2221]) ).
fof(f3780,plain,
! [X0,X1] : mult(mult(X0,X1),mult(X0,X0)) = mult(X1,mult(X0,mult(X0,X0))),
inference(forward_demodulation,[],[f3722,f350]) ).
fof(f3852,plain,
! [X0,X1] : mult(X0,mult(X0,mult(X0,X1))) = mult(X1,mult(X0,mult(X0,X0))),
inference(forward_demodulation,[],[f3780,f72]) ).
fof(f4173,plain,
! [X0,X1] : ld(X1,X0) = mult(i(X1),X0),
inference(superposition,[],[f7,f1]) ).
fof(f4239,plain,
! [X2,X0,X1] : mult(i(X2),mult(X1,mult(X1,X0))) = mult(X1,mult(i(X2),mult(i(X2),mult(X1,mult(X2,X0))))),
inference(superposition,[],[f62,f7]) ).
fof(f4337,plain,
! [X2,X0,X1] : mult(i(X2),mult(X1,mult(X1,X0))) = mult(X1,mult(i(X2),ld(X2,mult(X1,mult(X2,X0))))),
inference(backward_demodulation,[],[f4239,f4173]) ).
fof(f4409,plain,
! [X2,X0,X1] : mult(i(X2),mult(X1,mult(X1,X0))) = mult(X1,ld(X2,ld(X2,mult(X1,mult(X2,X0))))),
inference(forward_demodulation,[],[f4337,f4173]) ).
fof(f4451,plain,
! [X2,X0,X1] : ld(X2,mult(X1,mult(X1,X0))) = mult(X1,ld(X2,ld(X2,mult(X1,mult(X2,X0))))),
inference(forward_demodulation,[],[f4409,f4173]) ).
fof(f4672,plain,
! [X2,X0,X1] : mult(X1,mult(i(X0),mult(i(X0),mult(X1,X2)))) = mult(ld(X0,X1),mult(X2,ld(X0,X1))),
inference(superposition,[],[f17,f4173]) ).
fof(f4674,plain,
! [X0,X1] : mult(ld(X0,X1),ld(X0,X1)) = mult(X1,mult(i(X0),ld(X0,X1))),
inference(superposition,[],[f58,f4173]) ).
fof(f4694,plain,
! [X2,X0,X1] : mult(X2,ld(X0,X1)) = mult(X2,mult(X1,i(X0))),
inference(superposition,[],[f674,f4173]) ).
fof(f4708,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X1,mult(X2,i(X0))))) = mult(mult(X1,X2),ld(X0,mult(X1,X2))),
inference(superposition,[],[f17,f4173]) ).
fof(f4773,plain,
! [X2,X0,X1] : mult(mult(X1,X2),ld(X0,mult(X1,X2))) = mult(X2,mult(X1,mult(X1,ld(X0,X2)))),
inference(backward_demodulation,[],[f4708,f4694]) ).
fof(f4791,plain,
! [X0,X1] : mult(ld(X0,X1),ld(X0,X1)) = mult(X1,ld(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f4674,f4173]) ).
fof(f4793,plain,
! [X2,X0,X1] : mult(ld(X0,X1),mult(X2,ld(X0,X1))) = mult(X1,ld(X0,mult(i(X0),mult(X1,X2)))),
inference(forward_demodulation,[],[f4672,f4173]) ).
fof(f4862,plain,
! [X0,X1] : mult(X0,ld(X1,X0)) = mult(X1,mult(X0,ld(X1,ld(X1,X0)))),
inference(backward_demodulation,[],[f3021,f4791]) ).
fof(f4866,plain,
! [X2,X0,X1] : mult(X1,ld(X0,ld(X0,mult(X1,X2)))) = mult(ld(X0,X1),mult(X2,ld(X0,X1))),
inference(forward_demodulation,[],[f4793,f4173]) ).
fof(f4989,plain,
! [X0,X1] : mult(mult(X1,X0),mult(X0,X0)) = mult(X0,mult(X1,mult(X1,mult(X0,ld(X1,X0))))),
inference(superposition,[],[f52,f2309]) ).
fof(f5043,plain,
! [X0,X1] : mult(mult(X1,X0),mult(X0,X0)) = mult(X1,mult(X0,mult(X0,X0))),
inference(forward_demodulation,[],[f4989,f1773]) ).
fof(f5100,plain,
! [X0,X1] : mult(X0,mult(X0,mult(X1,X0))) = mult(X1,mult(X0,mult(X0,X0))),
inference(forward_demodulation,[],[f5043,f72]) ).
fof(f5254,plain,
! [X2,X0,X1] : mult(mult(X0,X0),mult(mult(X0,X0),mult(X1,X2))) = ld(X1,mult(X0,mult(X0,mult(X1,mult(X1,mult(mult(X0,X0),X2)))))),
inference(superposition,[],[f1855,f104]) ).
fof(f5270,plain,
! [X2,X0,X1] : mult(mult(X0,X0),mult(mult(X0,X0),mult(X1,X2))) = ld(X1,mult(X0,mult(X0,mult(X1,mult(X1,mult(X0,mult(X0,X2))))))),
inference(forward_demodulation,[],[f5254,f104]) ).
fof(f5340,plain,
! [X2,X0,X1] : mult(X0,mult(X0,mult(X0,mult(X0,mult(X1,X2))))) = ld(X1,mult(X0,mult(X0,mult(X1,mult(X1,mult(X0,mult(X0,X2))))))),
inference(forward_demodulation,[],[f5270,f52]) ).
fof(f5526,plain,
! [X2,X3,X0,X1] : mult(X3,mult(X0,mult(mult(X1,X2),mult(X1,X2)))) = mult(X3,mult(mult(X2,X1),mult(mult(X1,X2),X0))),
inference(superposition,[],[f786,f72]) ).
fof(f5527,plain,
! [X2,X3,X0,X1] : mult(X3,mult(X0,mult(mult(X1,X2),X0))) = mult(X3,mult(mult(X2,X1),mult(X0,X0))),
inference(superposition,[],[f786,f82]) ).
fof(f5835,plain,
! [X2,X3,X0,X1] : mult(X3,mult(X0,mult(mult(X1,X2),mult(X1,X2)))) = mult(X3,mult(X1,mult(X2,mult(X2,mult(X1,X0))))),
inference(forward_demodulation,[],[f5526,f687]) ).
fof(f5909,plain,
! [X2,X3,X0,X1] : mult(X3,mult(X1,mult(X2,mult(X2,mult(X1,X0))))) = mult(X3,mult(X0,mult(X2,mult(X1,mult(X1,X2))))),
inference(forward_demodulation,[],[f5835,f58]) ).
fof(f5961,plain,
! [X0,X1] : mult(X1,mult(X0,mult(X0,X0))) = mult(X0,mult(X1,mult(X0,X0))),
inference(superposition,[],[f1773,f3087]) ).
fof(f5999,plain,
! [X2,X0,X1] : mult(X0,X0) = mult(mult(X1,X2),mult(X0,ld(mult(X2,X1),X0))),
inference(superposition,[],[f692,f3087]) ).
fof(f6332,plain,
! [X2,X3,X0,X1] : mult(X3,mult(mult(X2,X1),mult(X0,mult(X0,mult(X1,X2))))) = mult(X3,mult(X0,mult(mult(X1,X2),mult(mult(X1,X2),X0)))),
inference(superposition,[],[f786,f1942]) ).
fof(f6341,plain,
! [X2,X3,X0,X1] : mult(X3,mult(X0,mult(X2,mult(X1,mult(X1,mult(X2,X0)))))) = mult(X3,mult(mult(X2,X1),mult(X0,mult(X0,mult(X1,X2))))),
inference(forward_demodulation,[],[f6332,f52]) ).
fof(f8370,plain,
! [X2,X0,X1] : mult(mult(X2,X1),mult(X0,mult(X0,mult(X1,X2)))) = mult(mult(X0,mult(X1,X2)),mult(mult(X2,X1),X0)),
inference(superposition,[],[f2244,f674]) ).
fof(f8495,plain,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,mult(X2,mult(X0,X1)))) = mult(mult(X2,mult(X0,X1)),mult(mult(X1,X0),X2)),
inference(superposition,[],[f786,f2244]) ).
fof(f8586,plain,
! [X2,X0,X1] : mult(X1,mult(X0,mult(X0,mult(X1,mult(X2,X2))))) = mult(mult(X2,mult(X0,X1)),mult(mult(X1,X0),X2)),
inference(forward_demodulation,[],[f8495,f143]) ).
fof(f8730,plain,
! [X2,X0,X1] : mult(X1,mult(X0,mult(X0,mult(X1,mult(X2,X2))))) = mult(mult(X1,X0),mult(X2,mult(X2,mult(X0,X1)))),
inference(forward_demodulation,[],[f8586,f8370]) ).
fof(f8837,plain,
! [X2,X3,X0,X1] : mult(X3,mult(X0,mult(X2,mult(X1,mult(X1,mult(X2,X0)))))) = mult(X3,mult(X2,mult(X1,mult(X1,mult(X2,mult(X0,X0)))))),
inference(backward_demodulation,[],[f6341,f8730]) ).
fof(f9032,plain,
! [X0,X1] : ld(X0,X1) = i(ld(X1,X0)),
inference(superposition,[],[f1344,f1]) ).
fof(f9050,plain,
! [X2,X0,X1] : i(mult(X0,mult(X2,X1))) = ld(mult(X0,mult(mult(X1,X2),X0)),X0),
inference(superposition,[],[f1344,f282]) ).
fof(f9098,plain,
! [X2,X0,X1] : i(mult(X0,mult(X2,X1))) = i(mult(mult(X1,X2),X0)),
inference(forward_demodulation,[],[f9050,f1344]) ).
fof(f9570,plain,
! [X0,X1] : i(mult(X0,X1)) = ld(X0,i(X1)),
inference(superposition,[],[f9032,f607]) ).
fof(f9572,plain,
! [X0,X1] : i(i(X0)) = ld(X1,mult(X1,X0)),
inference(superposition,[],[f9032,f1344]) ).
fof(f9585,plain,
! [X0] : i(i(X0)) = X0,
inference(forward_demodulation,[],[f9572,f2]) ).
fof(f9596,plain,
! [X2,X0,X1] : i(mult(mult(X1,X2),X0)) = ld(X0,i(mult(X2,X1))),
inference(backward_demodulation,[],[f9098,f9570]) ).
fof(f9615,plain,
! [X2,X0,X1] : i(mult(mult(X1,X2),X0)) = ld(X0,ld(X2,i(X1))),
inference(forward_demodulation,[],[f9596,f9570]) ).
fof(f9624,plain,
! [X2,X0,X1] : ld(X0,ld(X2,i(X1))) = ld(mult(X1,X2),i(X0)),
inference(forward_demodulation,[],[f9615,f9570]) ).
fof(f10969,plain,
! [X2,X0,X1] : mult(mult(X0,mult(X1,ld(mult(X0,X1),X2))),mult(X0,mult(X0,mult(mult(X0,mult(X1,ld(mult(X0,X1),X2))),X1)))) = mult(mult(X0,mult(X0,mult(X1,ld(mult(X0,X1),X2)))),mult(mult(X0,X1),X2)),
inference(superposition,[],[f17,f141]) ).
fof(f10979,plain,
! [X2,X0,X1] : mult(X0,mult(X0,mult(X1,ld(mult(X0,X1),X2)))) = ld(X1,mult(mult(X0,X1),X2)),
inference(superposition,[],[f2,f141]) ).
fof(f11081,plain,
! [X2,X0,X1] : mult(mult(X0,mult(X1,ld(mult(X0,X1),X2))),mult(X0,mult(X0,mult(mult(X0,mult(X1,ld(mult(X0,X1),X2))),X1)))) = mult(mult(mult(X0,X1),X2),mult(X0,mult(X0,mult(X1,ld(mult(X0,X1),X2))))),
inference(forward_demodulation,[],[f10969,f10]) ).
fof(f11203,plain,
! [X2,X0,X1] : mult(mult(X0,mult(X1,ld(mult(X0,X1),X2))),mult(X0,mult(X0,mult(mult(X0,mult(X1,ld(mult(X0,X1),X2))),X1)))) = mult(mult(mult(X0,X1),X2),ld(X1,mult(mult(X0,X1),X2))),
inference(forward_demodulation,[],[f11081,f10979]) ).
fof(f11287,plain,
! [X2,X0,X1] : mult(mult(X0,mult(X1,ld(mult(X0,X1),X2))),mult(X0,mult(X0,mult(mult(X0,mult(X1,ld(mult(X0,X1),X2))),X1)))) = mult(X2,mult(mult(X0,X1),mult(mult(X0,X1),ld(X1,X2)))),
inference(forward_demodulation,[],[f11203,f4773]) ).
fof(f11337,plain,
! [X2,X0,X1] : mult(mult(X0,mult(X1,ld(mult(X0,X1),X2))),mult(X0,mult(X0,mult(mult(X0,mult(X1,ld(mult(X0,X1),X2))),X1)))) = mult(X2,mult(X1,mult(X0,mult(X0,mult(X1,ld(X1,X2)))))),
inference(forward_demodulation,[],[f11287,f52]) ).
fof(f11374,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X0,mult(X0,X2)))) = mult(mult(X0,mult(X1,ld(mult(X0,X1),X2))),mult(X0,mult(X0,mult(mult(X0,mult(X1,ld(mult(X0,X1),X2))),X1)))),
inference(forward_demodulation,[],[f11337,f1]) ).
fof(f11401,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X0,mult(X0,X2)))) = mult(X0,mult(mult(X0,mult(X1,ld(mult(X0,X1),X2))),mult(mult(X0,mult(X1,ld(mult(X0,X1),X2))),mult(X0,X1)))),
inference(forward_demodulation,[],[f11374,f62]) ).
fof(f11421,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X0,mult(X0,X2)))) = mult(X0,mult(mult(X0,mult(X1,ld(mult(X0,X1),X2))),mult(mult(X1,X0),mult(X0,mult(X1,ld(mult(X0,X1),X2)))))),
inference(forward_demodulation,[],[f11401,f1520]) ).
fof(f11436,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X0,mult(X0,X2)))) = mult(X0,mult(mult(X0,X1),mult(mult(X0,mult(X1,ld(mult(X0,X1),X2))),mult(X0,mult(X1,ld(mult(X0,X1),X2)))))),
inference(forward_demodulation,[],[f11421,f5527]) ).
fof(f11448,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X0,mult(X0,X2)))) = mult(X0,mult(mult(X0,X1),mult(mult(X1,ld(mult(X0,X1),X2)),mult(X0,mult(X0,mult(X1,ld(mult(X0,X1),X2))))))),
inference(forward_demodulation,[],[f11436,f58]) ).
fof(f11457,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X0,mult(X0,X2)))) = mult(X0,mult(X0,mult(mult(X1,ld(mult(X0,X1),X2)),mult(mult(X1,ld(mult(X0,X1),X2)),mult(X0,mult(X0,X1)))))),
inference(forward_demodulation,[],[f11448,f5909]) ).
fof(f11463,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X0,mult(X0,X2)))) = mult(X0,mult(X0,mult(ld(mult(X0,X1),X2),mult(X1,mult(X1,mult(ld(mult(X0,X1),X2),mult(X0,mult(X0,X1)))))))),
inference(forward_demodulation,[],[f11457,f52]) ).
fof(f11469,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X0,mult(X0,X2)))) = mult(X0,mult(X0,mult(X1,mult(ld(mult(X0,X1),X2),mult(ld(mult(X0,X1),X2),mult(X1,mult(X0,mult(X0,X1)))))))),
inference(forward_demodulation,[],[f11463,f1705]) ).
fof(f11474,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X0,mult(X0,X2)))) = mult(X0,mult(X0,mult(X1,mult(ld(mult(X0,X1),X2),mult(X0,mult(X1,mult(X1,mult(X0,ld(mult(X0,X1),X2))))))))),
inference(forward_demodulation,[],[f11469,f5909]) ).
fof(f11479,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X0,mult(X0,X2)))) = mult(X0,mult(X0,mult(X1,mult(X0,mult(X1,mult(X1,mult(X0,mult(ld(mult(X0,X1),X2),ld(mult(X0,X1),X2))))))))),
inference(forward_demodulation,[],[f11474,f8837]) ).
fof(f11484,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X0,mult(X0,X2)))) = mult(X0,mult(X0,mult(X1,mult(X0,mult(X1,mult(X1,mult(X0,mult(X2,ld(mult(X0,X1),ld(mult(X0,X1),X2)))))))))),
inference(forward_demodulation,[],[f11479,f4791]) ).
fof(f34714,plain,
! [X2,X0,X1] : mult(ld(X1,i(X0)),X2) = ld(mult(X0,X1),i(i(X2))),
inference(superposition,[],[f607,f9624]) ).
fof(f34759,plain,
! [X2,X0,X1] : ld(mult(X0,X1),X2) = mult(ld(X1,i(X0)),X2),
inference(forward_demodulation,[],[f34714,f9585]) ).
fof(f35347,plain,
! [X2,X0,X1] : mult(ld(X1,i(X0)),mult(X2,ld(X1,i(X0)))) = ld(mult(X0,X1),mult(ld(X1,i(X0)),X2)),
inference(superposition,[],[f66,f34759]) ).
fof(f35407,plain,
! [X2,X0,X1] : ld(mult(X0,X1),ld(mult(X0,X1),X2)) = mult(ld(X1,i(X0)),mult(X2,ld(X1,i(X0)))),
inference(forward_demodulation,[],[f35347,f34759]) ).
fof(f35647,plain,
! [X2,X0,X1] : ld(mult(X0,X1),ld(mult(X0,X1),X2)) = mult(i(X0),ld(X1,ld(X1,mult(i(X0),X2)))),
inference(forward_demodulation,[],[f35407,f4866]) ).
fof(f35809,plain,
! [X2,X0,X1] : ld(mult(X0,X1),ld(mult(X0,X1),X2)) = ld(X0,ld(X1,ld(X1,mult(i(X0),X2)))),
inference(forward_demodulation,[],[f35647,f4173]) ).
fof(f35933,plain,
! [X2,X0,X1] : ld(mult(X0,X1),ld(mult(X0,X1),X2)) = ld(X0,ld(X1,ld(X1,ld(X0,X2)))),
inference(forward_demodulation,[],[f35809,f4173]) ).
fof(f36044,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X0,mult(X0,X2)))) = mult(X0,mult(X0,mult(X1,mult(X0,mult(X1,mult(X1,mult(X0,mult(X2,ld(X0,ld(X1,ld(X1,ld(X0,X2)))))))))))),
inference(backward_demodulation,[],[f11484,f35933]) ).
fof(f40605,plain,
! [X2,X0,X1] : mult(mult(X2,X1),mult(X0,ld(mult(X1,X2),X0))) = mult(X1,mult(X2,mult(X2,mult(X1,mult(X0,ld(mult(X1,X2),ld(mult(X1,X2),X0))))))),
inference(superposition,[],[f687,f4862]) ).
fof(f40639,plain,
! [X2,X0,X1] : mult(mult(X2,X1),mult(X0,ld(mult(X1,X2),X0))) = mult(X1,mult(X2,mult(X2,mult(X1,mult(X0,ld(X1,ld(X2,ld(X2,ld(X1,X0))))))))),
inference(forward_demodulation,[],[f40605,f35933]) ).
fof(f40788,plain,
! [X2,X0,X1] : mult(X0,X0) = mult(X1,mult(X2,mult(X2,mult(X1,mult(X0,ld(X1,ld(X2,ld(X2,ld(X1,X0))))))))),
inference(forward_demodulation,[],[f40639,f5999]) ).
fof(f40917,plain,
! [X2,X0,X1] : mult(X0,mult(X0,mult(X1,mult(X2,X2)))) = mult(X2,mult(X1,mult(X0,mult(X0,X2)))),
inference(backward_demodulation,[],[f36044,f40788]) ).
fof(f42478,plain,
! [X2,X0,X1] : mult(X1,mult(X0,mult(X0,X2))) = ld(X2,mult(X0,mult(X0,mult(X1,mult(X2,X2))))),
inference(superposition,[],[f2,f40917]) ).
fof(f47443,plain,
! [X2,X0,X1] : ld(X1,mult(X2,mult(X2,mult(X1,mult(X0,X1))))) = mult(X2,ld(X1,ld(X1,mult(X2,mult(X0,mult(X1,mult(X1,X1))))))),
inference(superposition,[],[f4451,f5100]) ).
fof(f47461,plain,
! [X2,X0,X1] : mult(X2,ld(X1,ld(X1,mult(X2,mult(X0,mult(X1,mult(X1,X1))))))) = ld(X1,mult(X2,mult(X2,mult(X0,mult(X1,X1))))),
inference(superposition,[],[f4451,f5961]) ).
fof(f47937,plain,
! [X2,X0,X1] : mult(X0,mult(X2,mult(X2,X1))) = mult(X2,ld(X1,ld(X1,mult(X2,mult(X0,mult(X1,mult(X1,X1))))))),
inference(forward_demodulation,[],[f47461,f42478]) ).
fof(f48121,plain,
! [X2,X0,X1] : mult(X0,mult(X2,mult(X2,X1))) = ld(X1,mult(X2,mult(X2,mult(X1,mult(X0,X1))))),
inference(forward_demodulation,[],[f47937,f47443]) ).
fof(f48203,plain,
! [X2,X0,X1] : mult(X0,mult(X2,mult(X2,X1))) = mult(X2,ld(X1,ld(X1,mult(X2,mult(X0,mult(X1,mult(X1,X1))))))),
inference(backward_demodulation,[],[f47443,f48121]) ).
fof(f63412,plain,
! [X2,X0,X1] : mult(X2,ld(X1,ld(X1,mult(X2,mult(X0,mult(X1,mult(X1,X1))))))) = ld(X1,mult(X2,mult(X2,mult(X1,mult(X1,X0))))),
inference(superposition,[],[f4451,f3852]) ).
fof(f63879,plain,
! [X2,X0,X1] : mult(X0,mult(X2,mult(X2,X1))) = ld(X1,mult(X2,mult(X2,mult(X1,mult(X1,X0))))),
inference(forward_demodulation,[],[f63412,f48203]) ).
fof(f64245,plain,
! [X2,X0,X1] : mult(X0,mult(X0,mult(X0,mult(X0,mult(X1,X2))))) = mult(mult(X0,mult(X0,X2)),mult(X0,mult(X0,X1))),
inference(backward_demodulation,[],[f5340,f63879]) ).
fof(f64514,plain,
mult(a,mult(a,mult(a,mult(a,mult(b,c))))) != mult(a,mult(a,mult(a,mult(a,mult(c,b))))),
inference(backward_demodulation,[],[f78,f64245]) ).
fof(f64664,plain,
mult(a,mult(a,mult(a,mult(a,mult(b,c))))) != mult(a,mult(a,mult(a,mult(a,mult(b,c))))),
inference(forward_demodulation,[],[f64514,f511]) ).
fof(f64665,plain,
$false,
inference(trivial_inequality_removal,[],[f64664]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP718-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 % Computer : n012.cluster.edu
% 0.03/0.32 % Model : x86_64 x86_64
% 0.03/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.32 % Memory : 8046.5625MB
% 0.03/0.32 % OS : Linux 6.8.0-71-generic
% 0.03/0.32 % CPULimit : 300
% 0.03/0.32 % WCLimit : 300
% 0.03/0.32 % DateTime : Sun Sep 27 10:36:50 UTC 2026
% 0.03/0.32 % CPUTime :
% 0.03/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 Running first-order theorem proving
% 0.07/0.34 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
% 47.87/7.44 % (2185507)Detected a unit-equality problem, will run specialized UEQ schedule.
% 47.87/7.44 % (2185534)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1247958511:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 47.87/7.44 % (2185532)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=1033131489:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 47.87/7.44 % (2185531)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=1547328970:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 47.87/7.44 % (2185535)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1434332358:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 47.87/7.44 % (2185533)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3352393808:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 47.87/7.44 % (2185537)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4073526230:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 47.87/7.44 % (2185536)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1240654194:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 47.87/7.44 % (2185534)Instruction limit reached!
% 47.87/7.44 % (2185534)------------------------------
% 47.87/7.44 % (2185534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.87/7.44 % (2185534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.87/7.44 % (2185534)CaDiCaL version: 2.1.3
% 47.87/7.44 % (2185534)Termination reason: Instruction limit
% 47.87/7.44 % (2185534)Termination phase: Saturation
% 47.87/7.44 % (2185534)Time elapsed: 0.044 s
% 47.87/7.44 % (2185534)Peak memory usage: 88 MB
% 47.87/7.45 % (2185534)Instructions burned: 137 (million)
% 47.87/7.45 % (2185535)Instruction limit reached!
% 47.87/7.45 % (2185535)------------------------------
% 47.87/7.45 % (2185535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.87/7.45 % (2185535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.87/7.45 % (2185535)CaDiCaL version: 2.1.3
% 47.87/7.45 % (2185535)Termination reason: Instruction limit
% 47.87/7.45 % (2185535)Termination phase: Saturation
% 47.87/7.45 % (2185535)Time elapsed: 0.053 s
% 47.87/7.45 % (2185535)Peak memory usage: 89 MB
% 47.87/7.45 % (2185535)Instructions burned: 182 (million)
% 47.87/7.45 % (2185536)Instruction limit reached!
% 47.87/7.45 % (2185536)------------------------------
% 47.87/7.45 % (2185536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.87/7.45 % (2185536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.87/7.45 % (2185536)CaDiCaL version: 2.1.3
% 47.87/7.45 % (2185536)Termination reason: Instruction limit
% 47.87/7.45 % (2185536)Termination phase: Saturation
% 47.87/7.45 % (2185536)Time elapsed: 0.087 s
% 47.87/7.45 % (2185536)Peak memory usage: 90 MB
% 47.87/7.45 % (2185536)Instructions burned: 259 (million)
% 47.87/7.45 % (2185546)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3696698479:i=4948:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/4948Mi)
% 47.87/7.45 % (2185545)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3716034627:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 47.87/7.45 % (2185547)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1213900769:i=215:ep=RSTC_2998 on theBenchmark for (2998ds/215Mi)
% 47.87/7.45 % (2185547)Instruction limit reached!
% 47.87/7.45 % (2185547)------------------------------
% 47.87/7.45 % (2185547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.87/7.45 % (2185547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.87/7.45 % (2185547)CaDiCaL version: 2.1.3
% 47.87/7.45 % (2185547)Termination reason: Instruction limit
% 47.87/7.45 % (2185547)Termination phase: Saturation
% 47.87/7.45 % (2185547)Time elapsed: 0.062 s
% 65.70/10.11 % (2185547)Peak memory usage: 89 MB
% 65.70/10.11 % (2185547)Instructions burned: 217 (million)
% 65.70/10.11 % (2185537)Instruction limit reached!
% 65.70/10.11 % (2185537)------------------------------
% 65.70/10.11 % (2185537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.70/10.11 % (2185537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.70/10.11 % (2185537)CaDiCaL version: 2.1.3
% 65.70/10.11 % (2185537)Termination reason: Instruction limit
% 65.70/10.11 % (2185537)Termination phase: Saturation
% 65.70/10.11 % (2185537)Time elapsed: 0.344 s
% 65.70/10.11 % (2185537)Peak memory usage: 96 MB
% 65.70/10.11 % (2185537)Instructions burned: 1188 (million)
% 65.70/10.11 % (2185551)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=28513347:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2996 on theBenchmark for (2996ds/317Mi)
% 65.70/10.11 % (2185552)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=1263018050:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2995 on theBenchmark for (2995ds/12125Mi)
% 65.70/10.11 % (2185551)Instruction limit reached!
% 65.70/10.11 % (2185551)------------------------------
% 65.70/10.11 % (2185551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.70/10.11 % (2185551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.70/10.11 % (2185551)CaDiCaL version: 2.1.3
% 65.70/10.11 % (2185551)Termination reason: Instruction limit
% 65.70/10.11 % (2185551)Termination phase: Saturation
% 65.70/10.11 % (2185551)Time elapsed: 0.109 s
% 65.70/10.11 % (2185551)Peak memory usage: 94 MB
% 65.70/10.11 % (2185551)Instructions burned: 319 (million)
% 65.70/10.11 % (2185555)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3440869664:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2994 on theBenchmark for (2994ds/2836Mi)
% 65.70/10.11 % (2185545)Instruction limit reached!
% 65.70/10.11 % (2185545)------------------------------
% 65.70/10.11 % (2185545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.70/10.11 % (2185545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.70/10.11 % (2185545)CaDiCaL version: 2.1.3
% 65.70/10.11 % (2185545)Termination reason: Instruction limit
% 65.70/10.11 % (2185545)Termination phase: Saturation
% 65.70/10.11 % (2185545)Time elapsed: 0.702 s
% 65.70/10.11 % (2185545)Peak memory usage: 137 MB
% 65.70/10.11 % (2185545)Instructions burned: 2052 (million)
% 65.70/10.11 % (2185557)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1781076423:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2990 on theBenchmark for (2990ds/14534Mi)
% 65.70/10.11 % (2185555)Instruction limit reached!
% 65.70/10.11 % (2185555)------------------------------
% 65.70/10.11 % (2185555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.70/10.11 % (2185555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.70/10.11 % (2185555)CaDiCaL version: 2.1.3
% 65.70/10.11 % (2185555)Termination reason: Instruction limit
% 65.70/10.11 % (2185555)Termination phase: Saturation
% 65.70/10.11 % (2185555)Time elapsed: 0.967 s
% 65.70/10.11 % (2185555)Peak memory usage: 122 MB
% 65.70/10.11 % (2185555)Instructions burned: 2838 (million)
% 65.70/10.11 % (2185559)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=2210458354:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2983 on theBenchmark for (2983ds/11832Mi)
% 65.70/10.11 % (2185546)Instruction limit reached!
% 65.70/10.11 % (2185546)------------------------------
% 65.70/10.11 % (2185546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.70/10.11 % (2185546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.70/10.11 % (2185546)CaDiCaL version: 2.1.3
% 65.70/10.11 % (2185546)Termination reason: Instruction limit
% 65.70/10.11 % (2185546)Termination phase: Saturation
% 65.70/10.11 % (2185546)Time elapsed: 1.585 s
% 65.70/10.11 % (2185546)Peak memory usage: 154 MB
% 65.70/10.11 % (2185546)Instructions burned: 4950 (million)
% 65.70/10.11 % (2185561)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=505129342:i=2279:fgj=on:bd=all_2981 on theBenchmark for (2981ds/2279Mi)
% 65.70/10.11 % (2185561)Instruction limit reached!
% 65.70/10.11 % (2185561)------------------------------
% 65.70/10.11 % (2185561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.70/10.11 % (2185561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.70/10.11 % (2185561)CaDiCaL version: 2.1.3
% 65.70/10.11 % (2185561)Termination reason: Instruction limit
% 65.70/10.11 % (2185561)Termination phase: Saturation
% 65.70/10.11 % (2185561)Time elapsed: 0.715 s
% 65.70/10.11 % (2185561)Peak memory usage: 137 MB
% 65.70/10.11 % (2185561)Instructions burned: 2281 (million)
% 65.70/10.11 % (2185563)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=3546782229:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2973 on theBenchmark for (2973ds/6225Mi)
% 65.70/10.11 % (2185563)Instruction limit reached!
% 65.70/10.11 % (2185563)------------------------------
% 65.70/10.11 % (2185563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.70/10.11 % (2185563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.70/10.11 % (2185563)CaDiCaL version: 2.1.3
% 65.70/10.11 % (2185563)Termination reason: Instruction limit
% 65.70/10.11 % (2185563)Termination phase: Saturation
% 65.70/10.11 % (2185563)Time elapsed: 1.661 s
% 65.70/10.11 % (2185563)Peak memory usage: 146 MB
% 65.70/10.11 % (2185563)Instructions burned: 6225 (million)
% 65.70/10.11 % (2185565)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=3885689586:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2955 on theBenchmark for (2955ds/21755Mi)
% 65.70/10.11 % (2185552)Instruction limit reached!
% 65.70/10.11 % (2185552)------------------------------
% 65.70/10.11 % (2185552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.70/10.11 % (2185552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.70/10.11 % (2185552)CaDiCaL version: 2.1.3
% 65.70/10.11 % (2185552)Termination reason: Instruction limit
% 65.70/10.11 % (2185552)Termination phase: Saturation
% 65.70/10.11 % (2185552)Time elapsed: 4.152 s
% 65.70/10.11 % (2185552)Peak memory usage: 216 MB
% 65.70/10.11 % (2185552)Instructions burned: 12127 (million)
% 65.70/10.11 % (2185567)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=3514472201:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2952 on theBenchmark for (2952ds/16427Mi)
% 65.70/10.11 % (2185559)Instruction limit reached!
% 65.70/10.11 % (2185559)------------------------------
% 65.70/10.11 % (2185559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.70/10.11 % (2185559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.70/10.11 % (2185559)CaDiCaL version: 2.1.3
% 65.70/10.11 % (2185559)Termination reason: Instruction limit
% 65.70/10.11 % (2185559)Termination phase: Saturation
% 65.70/10.11 % (2185559)Time elapsed: 4.193 s
% 65.70/10.11 % (2185559)Peak memory usage: 204 MB
% 65.70/10.11 % (2185559)Instructions burned: 11834 (million)
% 65.70/10.11 % (2185569)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=570495839:i=9356:fgj=on:bd=preordered:av=off_2940 on theBenchmark for (2940ds/9356Mi)
% 65.70/10.11 % (2185557)Instruction limit reached!
% 65.70/10.11 % (2185557)------------------------------
% 65.70/10.11 % (2185557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.70/10.11 % (2185557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.70/10.11 % (2185557)CaDiCaL version: 2.1.3
% 65.70/10.11 % (2185557)Termination reason: Instruction limit
% 65.70/10.11 % (2185557)Termination phase: Saturation
% 65.70/10.11 % (2185557)Time elapsed: 5.078 s
% 65.70/10.11 % (2185557)Peak memory usage: 228 MB
% 65.70/10.11 % (2185557)Instructions burned: 14535 (million)
% 65.70/10.11 % (2185571)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=1027140866:i=2070:kws=inv_precedence:slsql=off:bd=all_2938 on theBenchmark for (2938ds/2070Mi)
% 65.70/10.11 % (2185571)Instruction limit reached!
% 65.70/10.11 % (2185571)------------------------------
% 65.70/10.11 % (2185571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.70/10.11 % (2185571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.70/10.11 % (2185571)CaDiCaL version: 2.1.3
% 65.70/10.11 % (2185571)Termination reason: Instruction limit
% 65.70/10.11 % (2185571)Termination phase: Saturation
% 65.70/10.11 % (2185571)Time elapsed: 0.670 s
% 65.70/10.11 % (2185571)Peak memory usage: 119 MB
% 65.70/10.11 % (2185571)Instructions burned: 2073 (million)
% 65.70/10.11 % (2185573)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=2564432425:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2930 on theBenchmark for (2930ds/6461Mi)
% 65.70/10.11 % (2185567)First to succeed.
% 65.70/10.11 % (2185567)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2185507"
% 65.70/10.11 % (2185573)Instruction limit reached!
% 65.70/10.11 % (2185573)------------------------------
% 65.70/10.11 % (2185573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.70/10.11 % (2185573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.70/10.11 % (2185573)CaDiCaL version: 2.1.3
% 65.70/10.11 % (2185573)Termination reason: Instruction limit
% 65.70/10.11 % (2185573)Termination phase: Saturation
% 65.70/10.11 % (2185573)Time elapsed: 2.449 s
% 65.70/10.11 % (2185573)Peak memory usage: 170 MB
% 65.70/10.11 % (2185573)Instructions burned: 6463 (million)
% 65.70/10.11 % (2185567)Refutation found. Thanks to Tanya!
% 65.70/10.11 % SZS status Unsatisfiable for theBenchmark
% 65.70/10.11 % SZS output start Proof for theBenchmark
% See solution above
% 66.45/10.21 % (2185567)------------------------------
% 66.45/10.21 % (2185567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.45/10.21 % (2185567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.45/10.21 % (2185567)CaDiCaL version: 2.1.3
% 66.45/10.21 % (2185567)Termination reason: Refutation
% 66.45/10.21 % (2185567)Time elapsed: 4.312 s
% 66.45/10.21 % (2185567)Peak memory usage: 183 MB
% 66.45/10.21 % (2185567)Instructions burned: 12927 (million)
% 66.45/10.21 % (2185567)------------------------------
% 66.45/10.21 % (2185567)------------------------------
% 66.45/10.21 % (2185507)Success in time 9.572 s
% 66.45/10.21 % Vampire exiting
%------------------------------------------------------------------------------