%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP660+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:15:29 AM UTC 2026
% Result : Theorem 14.96s 3.35s
% Output : Refutation 17.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 6
% Syntax : Number of formulae : 101 ( 96 unt; 0 def)
% Number of atoms : 106 ( 105 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 3 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% Number of variables : 216 ( 213 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0,X1,X2] : mult(mult(mult(X2,X1),X0),X2) = mult(X2,mult(X1,mult(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,conjecture,
? [X0] :
! [X1] :
( mult(X1,X0) = X1
& mult(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f7,negated_conjecture,
~ ? [X0] :
! [X1] :
( mult(X1,X0) = X1
& mult(X0,X1) = X1 ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
! [X0] :
? [X1] :
( mult(X1,X0) != X1
| mult(X0,X1) != X1 ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
! [X0] :
( sK0(X0) != mult(sK0(X0),X0)
| sK0(X0) != mult(X0,sK0(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f8]) ).
fof(f10,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
! [X2,X0,X1] : mult(mult(mult(X2,X1),X0),X2) = mult(X2,mult(X1,mult(X0,X2))),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
! [X0] :
( sK0(X0) != mult(sK0(X0),X0)
| sK0(X0) != mult(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f13,f10]) ).
fof(f17,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,mult(X2,rd(X0,X1)))) = mult(mult(X0,X2),rd(X0,X1)),
inference(superposition,[],[f14,f12]) ).
fof(f18,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),mult(X2,X1))) = mult(mult(X0,X2),X1),
inference(superposition,[],[f14,f10]) ).
fof(f21,plain,
! [X2,X0,X1] : mult(X0,X1) = mult(X1,mult(X2,mult(ld(mult(X1,X2),X0),X1))),
inference(superposition,[],[f14,f10]) ).
fof(f22,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = rd(mult(X0,mult(X1,mult(X2,X0))),X0),
inference(superposition,[],[f13,f14]) ).
fof(f23,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f11,f12]) ).
fof(f25,plain,
! [X2,X0,X1] : mult(mult(X1,X2),rd(X0,X1)) = rd(mult(X1,mult(X2,X0)),X1),
inference(superposition,[],[f22,f12]) ).
fof(f28,plain,
! [X2,X0,X1] : mult(mult(X1,rd(X0,mult(X2,X1))),X2) = rd(mult(X1,X0),X1),
inference(superposition,[],[f22,f12]) ).
fof(f36,plain,
! [X2,X0,X1] : rd(mult(X1,X2),X1) = mult(mult(X1,rd(X2,X0)),rd(X0,X1)),
inference(superposition,[],[f28,f12]) ).
fof(f37,plain,
! [X2,X0,X1] : rd(mult(ld(X1,X0),X2),ld(X1,X0)) = mult(mult(ld(X1,X0),rd(X2,X0)),X1),
inference(superposition,[],[f28,f10]) ).
fof(f48,plain,
! [X2,X0,X1] : mult(X0,rd(X1,mult(X2,X0))) = rd(rd(mult(X0,X1),X0),X2),
inference(superposition,[],[f13,f28]) ).
fof(f85,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),X0),rd(X1,mult(X0,X1))),
inference(superposition,[],[f13,f25]) ).
fof(f99,plain,
! [X2,X0,X1] : mult(mult(X2,rd(X0,X1)),X1) = mult(X1,mult(ld(X1,X2),X0)),
inference(superposition,[],[f18,f12]) ).
fof(f108,plain,
! [X2,X0,X1] : mult(ld(X2,X0),mult(X1,X2)) = ld(X2,mult(mult(X0,X1),X2)),
inference(superposition,[],[f11,f18]) ).
fof(f121,plain,
! [X2,X0,X1] : mult(ld(X1,rd(X0,X2)),mult(X2,X1)) = ld(X1,mult(X0,X1)),
inference(superposition,[],[f108,f12]) ).
fof(f122,plain,
! [X2,X0,X1] : ld(X1,mult(X0,X1)) = mult(ld(X1,X2),mult(ld(X2,X0),X1)),
inference(superposition,[],[f108,f10]) ).
fof(f145,plain,
! [X2,X0,X1] : ld(ld(X1,X0),mult(X2,ld(X1,X0))) = mult(ld(ld(X1,X0),rd(X2,X1)),X0),
inference(superposition,[],[f121,f10]) ).
fof(f156,plain,
! [X2,X0,X1] : ld(X0,rd(X1,X2)) = rd(ld(X0,mult(X1,X0)),mult(X2,X0)),
inference(superposition,[],[f13,f121]) ).
fof(f199,plain,
! [X2,X0,X1] : ld(X1,mult(X2,X1)) = mult(X0,mult(ld(mult(X1,X0),X2),X1)),
inference(superposition,[],[f122,f11]) ).
fof(f201,plain,
! [X2,X0,X1] : ld(rd(X1,X0),mult(X2,rd(X1,X0))) = mult(X0,mult(ld(X1,X2),rd(X1,X0))),
inference(superposition,[],[f122,f23]) ).
fof(f250,plain,
! [X2,X0,X1] : mult(ld(mult(X0,X2),X1),X0) = ld(X2,ld(X0,mult(X1,X0))),
inference(superposition,[],[f11,f199]) ).
fof(f330,plain,
! [X2,X0,X1] : mult(ld(mult(X1,X2),rd(X0,X1)),X1) = ld(X2,ld(X1,X0)),
inference(superposition,[],[f250,f12]) ).
fof(f331,plain,
! [X0,X1] : ld(X1,X0) = mult(ld(mult(X0,X1),X0),X0),
inference(superposition,[],[f250,f11]) ).
fof(f355,plain,
! [X0,X1] : ld(ld(X1,X0),X1) = mult(ld(X0,X1),X1),
inference(superposition,[],[f331,f10]) ).
fof(f405,plain,
! [X0,X1] : ld(X1,X0) = rd(X1,mult(ld(X0,X1),X1)),
inference(superposition,[],[f16,f355]) ).
fof(f435,plain,
! [X0,X1] : rd(X1,mult(X0,X1)) = ld(X1,rd(X1,X0)),
inference(superposition,[],[f405,f23]) ).
fof(f457,plain,
! [X2,X0,X1] : ld(ld(X1,X0),ld(X1,X2)) = mult(ld(X0,rd(X2,X1)),X1),
inference(superposition,[],[f330,f10]) ).
fof(f580,plain,
! [X2,X0,X1] : ld(ld(X1,X2),X0) = mult(ld(X2,rd(mult(X1,X0),X1)),X1),
inference(superposition,[],[f457,f11]) ).
fof(f635,plain,
! [X2,X0,X1] : ld(X1,rd(mult(X0,X2),X0)) = rd(ld(ld(X0,X1),X2),X0),
inference(superposition,[],[f13,f580]) ).
fof(f1110,plain,
! [X2,X0,X1] : rd(ld(X0,X2),X1) = ld(mult(X1,X0),rd(mult(X1,X2),X1)),
inference(superposition,[],[f635,f11]) ).
fof(f1285,plain,
! [X2,X0,X1] : rd(X0,X2) = rd(mult(mult(X0,X1),rd(X0,X2)),mult(X2,mult(X1,rd(X0,X2)))),
inference(superposition,[],[f13,f17]) ).
fof(f1942,plain,
! [X2,X3,X0,X1] : ld(X0,rd(mult(mult(X0,X1),X2),X3)) = rd(ld(X0,mult(X0,mult(X1,mult(X2,X0)))),mult(X3,X0)),
inference(superposition,[],[f156,f14]) ).
fof(f1946,plain,
! [X2,X0,X1] : ld(X1,rd(rd(X0,X1),X2)) = rd(ld(X1,X0),mult(X2,X1)),
inference(superposition,[],[f156,f12]) ).
fof(f2017,plain,
! [X2,X3,X0,X1] : ld(X0,rd(mult(mult(X0,X1),X2),X3)) = ld(X0,rd(rd(mult(X0,mult(X1,mult(X2,X0))),X0),X3)),
inference(forward_demodulation,[],[f1942,f1946]) ).
fof(f2042,plain,
! [X2,X3,X0,X1] : ld(X0,rd(mult(mult(X0,X1),X2),X3)) = ld(X0,mult(X0,rd(mult(X1,mult(X2,X0)),mult(X3,X0)))),
inference(forward_demodulation,[],[f2017,f48]) ).
fof(f2052,plain,
! [X2,X3,X0,X1] : ld(X0,rd(mult(mult(X0,X1),X2),X3)) = rd(mult(X1,mult(X2,X0)),mult(X3,X0)),
inference(forward_demodulation,[],[f2042,f11]) ).
fof(f3186,plain,
! [X2,X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),X1),rd(mult(X2,mult(ld(mult(X1,X2),X0),X1)),mult(X0,X1))),
inference(superposition,[],[f85,f21]) ).
fof(f3317,plain,
! [X2,X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),X1),ld(X1,rd(mult(mult(X1,X2),ld(mult(X1,X2),X0)),X0))),
inference(forward_demodulation,[],[f3186,f2052]) ).
fof(f3345,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),X1),ld(X1,rd(X0,X0))),
inference(forward_demodulation,[],[f3317,f10]) ).
fof(f3369,plain,
! [X0] : mult(X0,rd(X0,X0)) = mult(rd(mult(X0,X0),X0),ld(rd(X0,X0),rd(X0,X0))),
inference(superposition,[],[f3345,f36]) ).
fof(f3441,plain,
! [X0] : mult(X0,rd(X0,X0)) = mult(X0,ld(rd(X0,X0),rd(X0,X0))),
inference(forward_demodulation,[],[f3369,f13]) ).
fof(f3456,plain,
! [X0] : ld(rd(X0,X0),rd(X0,X0)) = ld(X0,mult(X0,rd(X0,X0))),
inference(superposition,[],[f11,f3441]) ).
fof(f3529,plain,
! [X0] : rd(X0,X0) = ld(rd(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[],[f3456,f11]) ).
fof(f3570,plain,
! [X0] : rd(X0,X0) = mult(rd(X0,X0),rd(X0,X0)),
inference(superposition,[],[f10,f3529]) ).
fof(f3719,plain,
! [X0] : rd(X0,X0) = rd(mult(mult(X0,rd(X0,X0)),rd(X0,X0)),mult(X0,rd(X0,X0))),
inference(superposition,[],[f1285,f3570]) ).
fof(f3797,plain,
! [X0] : rd(X0,X0) = rd(rd(mult(X0,X0),X0),mult(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f3719,f36]) ).
fof(f3820,plain,
! [X0] : rd(X0,X0) = mult(X0,rd(X0,mult(mult(X0,rd(X0,X0)),X0))),
inference(forward_demodulation,[],[f3797,f48]) ).
fof(f3835,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,rd(X0,mult(X0,rd(X0,X0))))),
inference(forward_demodulation,[],[f3820,f435]) ).
fof(f3839,plain,
! [X0] : rd(X0,X0) = rd(X0,mult(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f3835,f10]) ).
fof(f3849,plain,
! [X0] : ld(rd(X0,X0),X0) = mult(X0,rd(X0,X0)),
inference(superposition,[],[f23,f3839]) ).
fof(f3883,plain,
! [X0] : mult(X0,rd(X0,X0)) = X0,
inference(forward_demodulation,[],[f3849,f23]) ).
fof(f3903,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(superposition,[],[f11,f3883]) ).
fof(f3920,plain,
! [X0,X1] : ld(rd(X0,X0),mult(X1,rd(X0,X0))) = mult(ld(rd(X0,X0),rd(X1,X0)),X0),
inference(superposition,[],[f121,f3883]) ).
fof(f3928,plain,
! [X0] : ld(rd(X0,X0),X0) = mult(ld(X0,X0),X0),
inference(superposition,[],[f331,f3883]) ).
fof(f3954,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f3928,f23]) ).
fof(f3960,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),rd(X0,X0))) = mult(ld(rd(X0,X0),rd(X1,X0)),X0),
inference(forward_demodulation,[],[f3920,f201]) ).
fof(f3983,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),ld(X0,X0))) = mult(ld(ld(X0,X0),rd(X1,X0)),X0),
inference(forward_demodulation,[],[f3960,f3903]) ).
fof(f4037,plain,
! [X0] : ld(X0,ld(X0,X0)) = mult(ld(X0,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f331,f3954]) ).
fof(f4043,plain,
! [X0,X1] : rd(ld(X0,X1),ld(X0,X0)) = ld(X0,rd(mult(ld(X0,X0),X1),ld(X0,X0))),
inference(superposition,[],[f1110,f3954]) ).
fof(f4069,plain,
! [X0,X1] : rd(ld(X0,X1),ld(X0,X0)) = ld(X0,mult(mult(ld(X0,X0),rd(X1,X0)),X0)),
inference(forward_demodulation,[],[f4043,f37]) ).
fof(f4094,plain,
! [X0,X1] : rd(ld(X0,X1),ld(X0,X0)) = mult(ld(X0,ld(X0,X0)),mult(rd(X1,X0),X0)),
inference(forward_demodulation,[],[f4069,f108]) ).
fof(f4100,plain,
! [X0,X1] : mult(ld(X0,ld(X0,X0)),X1) = rd(ld(X0,X1),ld(X0,X0)),
inference(forward_demodulation,[],[f4094,f12]) ).
fof(f4105,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(superposition,[],[f3529,f3903]) ).
fof(f4146,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,rd(X0,X0)),X0),
inference(forward_demodulation,[],[f4105,f457]) ).
fof(f4155,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,ld(X0,X0)),X0),
inference(forward_demodulation,[],[f4146,f3903]) ).
fof(f4446,plain,
! [X0,X1] : mult(X0,mult(ld(ld(X0,X0),X1),ld(X0,ld(X0,X0)))) = ld(ld(X0,ld(X0,X0)),mult(X1,ld(X0,ld(X0,X0)))),
inference(superposition,[],[f199,f4155]) ).
fof(f4488,plain,
! [X0,X1] : mult(X0,mult(ld(ld(X0,X0),X1),ld(X0,ld(X0,X0)))) = mult(ld(ld(X0,ld(X0,X0)),rd(X1,X0)),ld(X0,X0)),
inference(forward_demodulation,[],[f4446,f145]) ).
fof(f4742,plain,
! [X0,X1] : mult(ld(X1,ld(X1,X1)),mult(X1,X0)) = rd(X0,ld(X1,X1)),
inference(superposition,[],[f4100,f11]) ).
fof(f4890,plain,
! [X0,X1] : rd(mult(X1,X0),ld(ld(X1,ld(X1,X1)),ld(X1,ld(X1,X1)))) = mult(ld(ld(X1,ld(X1,X1)),ld(ld(X1,ld(X1,X1)),ld(X1,ld(X1,X1)))),rd(X0,ld(X1,X1))),
inference(superposition,[],[f4742,f4742]) ).
fof(f4991,plain,
! [X0,X1] : rd(mult(X1,X0),mult(ld(ld(X1,X1),rd(ld(X1,X1),X1)),X1)) = mult(ld(ld(X1,ld(X1,X1)),mult(ld(ld(X1,X1),rd(ld(X1,X1),X1)),X1)),rd(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f4890,f457]) ).
fof(f5016,plain,
! [X0,X1] : rd(mult(X1,X0),mult(X1,mult(ld(X1,ld(X1,X1)),ld(X1,X1)))) = mult(ld(ld(X1,ld(X1,X1)),mult(X1,mult(ld(X1,ld(X1,X1)),ld(X1,X1)))),rd(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f4991,f3983]) ).
fof(f5029,plain,
! [X0,X1] : rd(mult(X1,X0),mult(X1,ld(X1,ld(X1,X1)))) = mult(ld(ld(X1,ld(X1,X1)),mult(X1,ld(X1,ld(X1,X1)))),rd(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f5016,f4037]) ).
fof(f5040,plain,
! [X0,X1] : rd(mult(X1,X0),mult(X1,ld(X1,ld(X1,X1)))) = mult(mult(ld(ld(X1,ld(X1,X1)),rd(X1,X1)),ld(X1,X1)),rd(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f5029,f145]) ).
fof(f5050,plain,
! [X0,X1] : rd(mult(X1,X0),mult(X1,ld(X1,ld(X1,X1)))) = mult(mult(X1,mult(ld(ld(X1,X1),X1),ld(X1,ld(X1,X1)))),rd(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f5040,f4488]) ).
fof(f5057,plain,
! [X0,X1] : rd(mult(X1,X0),mult(X1,ld(X1,ld(X1,X1)))) = mult(mult(X1,mult(mult(ld(X1,X1),X1),ld(X1,ld(X1,X1)))),rd(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f5050,f355]) ).
fof(f5061,plain,
! [X0,X1] : rd(mult(X1,X0),mult(X1,ld(X1,ld(X1,X1)))) = mult(mult(X1,mult(X1,ld(X1,ld(X1,X1)))),rd(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f5057,f3954]) ).
fof(f5065,plain,
! [X0,X1] : rd(mult(X1,X0),ld(X1,X1)) = mult(mult(X1,ld(X1,X1)),rd(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f5061,f10]) ).
fof(f5067,plain,
! [X0,X1] : rd(mult(X1,X0),ld(X1,X1)) = mult(X1,rd(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f5065,f10]) ).
fof(f5108,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,rd(X1,ld(X0,X0))),ld(X0,X0)),
inference(superposition,[],[f12,f5067]) ).
fof(f5136,plain,
! [X0,X1] : mult(X0,X1) = mult(ld(X0,X0),mult(ld(ld(X0,X0),X0),X1)),
inference(forward_demodulation,[],[f5108,f99]) ).
fof(f5176,plain,
! [X0,X1] : mult(X0,X1) = mult(ld(X0,X0),mult(mult(ld(X0,X0),X0),X1)),
inference(forward_demodulation,[],[f5136,f355]) ).
fof(f5201,plain,
! [X0,X1] : mult(X0,X1) = mult(ld(X0,X0),mult(X0,X1)),
inference(forward_demodulation,[],[f5176,f3954]) ).
fof(f5251,plain,
! [X0,X1] : mult(ld(X1,X1),X0) = X0,
inference(superposition,[],[f5201,f10]) ).
fof(f5458,plain,
! [X0,X1] : rd(X0,X0) = ld(X1,X1),
inference(superposition,[],[f13,f5251]) ).
fof(f5637,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = X1,
inference(superposition,[],[f3883,f5458]) ).
fof(f6213,plain,
$false,
inference(unit_resulting_resolution,[],[f15,f5251,f5637]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP660+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n019.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 10:33:04 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.04/3.29 % (2894476)Detected formulas, will run a generic FOF schedule.
% 16.04/3.29 % (2894566)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1039302484:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 16.04/3.29 % (2894566)Refutation not found, incomplete strategy
% 16.04/3.29 % (2894566)------------------------------
% 16.04/3.29 % (2894566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.04/3.29 % (2894566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.29 % (2894566)CaDiCaL version: 2.1.3
% 16.04/3.29 % (2894566)Termination reason: Refutation not found, incomplete strategy
% 16.04/3.29 % (2894566)Time elapsed: 0.001 s
% 16.04/3.29 % (2894566)Peak memory usage: 88 MB
% 16.04/3.29 % (2894570)dis-21_1_sil=8000:lcm=predicate:random_seed=703693279:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 16.04/3.29 % (2894565)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3102748519:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 16.04/3.29 % (2894569)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=369502507:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 16.04/3.29 % (2894563)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3833823993:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 16.04/3.29 % (2894564)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2965231038:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 16.04/3.29 % (2894570)Refutation not found, incomplete strategy
% 16.04/3.29 % (2894570)------------------------------
% 16.04/3.29 % (2894570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.04/3.29 % (2894570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.29 % (2894570)CaDiCaL version: 2.1.3
% 16.04/3.29 % (2894570)Termination reason: Refutation not found, incomplete strategy
% 16.04/3.29 % (2894570)Time elapsed: 0.001 s
% 16.04/3.29 % (2894570)Peak memory usage: 88 MB
% 16.04/3.29 % (2894567)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2452918851:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 16.04/3.29 % (2894569)Instruction limit reached!
% 16.04/3.29 % (2894569)------------------------------
% 16.04/3.29 % (2894569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.04/3.29 % (2894569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.29 % (2894569)CaDiCaL version: 2.1.3
% 16.04/3.29 % (2894569)Termination reason: Instruction limit
% 16.04/3.29 % (2894569)Termination phase: Saturation
% 16.04/3.29 % (2894569)Time elapsed: 0.083 s
% 16.04/3.29 % (2894569)Peak memory usage: 89 MB
% 16.04/3.29 % (2894569)Instructions burned: 139 (million)
% 16.04/3.29 % (2894566)------------------------------
% 16.04/3.29 % (2894566)------------------------------
% 16.04/3.29 % (2894567)Instruction limit reached!
% 16.04/3.29 % (2894567)------------------------------
% 16.04/3.29 % (2894567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.04/3.29 % (2894567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.29 % (2894567)CaDiCaL version: 2.1.3
% 16.04/3.29 % (2894567)Termination reason: Instruction limit
% 16.04/3.29 % (2894567)Termination phase: Saturation
% 16.04/3.29 % (2894567)Time elapsed: 0.068 s
% 16.04/3.29 % (2894567)Peak memory usage: 88 MB
% 16.04/3.29 % (2894567)Instructions burned: 121 (million)
% 16.04/3.29 % (2894596)lrs+10_1_sil=8000:sp=occurrence:random_seed=2844230275:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 16.04/3.29 % (2894597)lrs+10_1_sil=32000:urr=on:br=off:random_seed=174350145:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 16.04/3.29 % (2894570)------------------------------
% 16.04/3.29 % (2894570)------------------------------
% 16.04/3.29 % (2894597)Instruction limit reached!
% 16.04/3.29 % (2894597)------------------------------
% 16.04/3.29 % (2894597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.04/3.29 % (2894597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/3.29 % (2894597)CaDiCaL version: 2.1.3
% 14.96/3.35 % (2894597)Termination reason: Instruction limit
% 14.96/3.35 % (2894597)Termination phase: Saturation
% 14.96/3.35 % (2894597)Time elapsed: 0.083 s
% 14.96/3.35 % (2894597)Peak memory usage: 90 MB
% 14.96/3.35 % (2894597)Instructions burned: 159 (million)
% 14.96/3.35 % (2894598)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3392782689:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 14.96/3.35 % (2894596)Instruction limit reached!
% 14.96/3.35 % (2894596)------------------------------
% 14.96/3.35 % (2894596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/3.35 % (2894596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/3.35 % (2894596)CaDiCaL version: 2.1.3
% 14.96/3.35 % (2894596)Termination reason: Instruction limit
% 14.96/3.35 % (2894596)Termination phase: Saturation
% 14.96/3.35 % (2894596)Time elapsed: 0.269 s
% 14.96/3.35 % (2894596)Peak memory usage: 92 MB
% 14.96/3.35 % (2894596)Instructions burned: 286 (million)
% 14.96/3.35 % (2894622)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=897528703:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 14.96/3.35 % (2894630)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3340715932:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 14.96/3.35 % (2894630)Refutation not found, incomplete strategy
% 14.96/3.35 % (2894630)------------------------------
% 14.96/3.35 % (2894630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/3.35 % (2894630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/3.35 % (2894630)CaDiCaL version: 2.1.3
% 14.96/3.35 % (2894630)Termination reason: Refutation not found, incomplete strategy
% 14.96/3.35 % (2894630)Time elapsed: 0.001 s
% 14.96/3.35 % (2894630)Peak memory usage: 88 MB
% 14.96/3.35 % (2894598)Instruction limit reached!
% 14.96/3.35 % (2894598)------------------------------
% 14.96/3.35 % (2894598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/3.35 % (2894598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/3.35 % (2894598)CaDiCaL version: 2.1.3
% 14.96/3.35 % (2894598)Termination reason: Instruction limit
% 14.96/3.35 % (2894598)Termination phase: Saturation
% 14.96/3.35 % (2894598)Time elapsed: 0.331 s
% 14.96/3.35 % (2894598)Peak memory usage: 93 MB
% 14.96/3.35 % (2894598)Instructions burned: 325 (million)
% 14.96/3.35 % (2894639)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3900542007:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 14.96/3.35 % (2894622)Instruction limit reached!
% 14.96/3.35 % (2894622)------------------------------
% 14.96/3.35 % (2894622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/3.35 % (2894622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/3.35 % (2894622)CaDiCaL version: 2.1.3
% 14.96/3.35 % (2894622)Termination reason: Instruction limit
% 14.96/3.35 % (2894622)Termination phase: Saturation
% 14.96/3.35 % (2894622)Time elapsed: 0.244 s
% 14.96/3.35 % (2894622)Peak memory usage: 92 MB
% 14.96/3.35 % (2894622)Instructions burned: 248 (million)
% 14.96/3.35 % (2894630)------------------------------
% 14.96/3.35 % (2894630)------------------------------
% 14.96/3.35 % (2894565)Refutation not found, incomplete strategy
% 14.96/3.35 % (2894565)------------------------------
% 14.96/3.35 % (2894565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/3.35 % (2894565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/3.35 % (2894565)CaDiCaL version: 2.1.3
% 14.96/3.35 % (2894565)Termination reason: Refutation not found, incomplete strategy
% 14.96/3.35 % (2894565)Time elapsed: 0.812 s
% 14.96/3.35 % (2894565)Peak memory usage: 127 MB
% 14.96/3.35 % (2894565)Instructions burned: 888 (million)
% 14.96/3.35 % (2894646)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4024749292:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 14.96/3.35 % (2894646)Refutation not found, incomplete strategy
% 14.96/3.35 % (2894646)------------------------------
% 14.96/3.35 % (2894646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/3.35 % (2894646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/3.35 % (2894646)CaDiCaL version: 2.1.3
% 14.96/3.35 % (2894646)Termination reason: Refutation not found, incomplete strategy
% 14.96/3.35 % (2894646)Time elapsed: 0.002 s
% 14.96/3.35 % (2894646)Peak memory usage: 88 MB
% 14.96/3.35 % (2894651)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3393946258:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 14.96/3.35 % (2894651)Refutation not found, incomplete strategy
% 14.96/3.35 % (2894651)------------------------------
% 14.96/3.35 % (2894651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/3.35 % (2894651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/3.35 % (2894651)CaDiCaL version: 2.1.3
% 14.96/3.35 % (2894651)Termination reason: Refutation not found, incomplete strategy
% 14.96/3.35 % (2894651)Time elapsed: 0.001 s
% 14.96/3.35 % (2894651)Peak memory usage: 88 MB
% 14.96/3.35 % (2894650)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1466817876:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 14.96/3.35 % (2894650)Refutation not found, incomplete strategy
% 14.96/3.35 % (2894650)------------------------------
% 14.96/3.35 % (2894650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/3.35 % (2894650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/3.35 % (2894650)CaDiCaL version: 2.1.3
% 14.96/3.35 % (2894650)Termination reason: Refutation not found, incomplete strategy
% 14.96/3.35 % (2894650)Time elapsed: 0.001 s
% 14.96/3.35 % (2894650)Peak memory usage: 87 MB
% 14.96/3.35 % (2894565)------------------------------
% 14.96/3.35 % (2894565)------------------------------
% 14.96/3.35 % (2894651)------------------------------
% 14.96/3.35 % (2894651)------------------------------
% 14.96/3.35 % (2894646)------------------------------
% 14.96/3.35 % (2894646)------------------------------
% 14.96/3.35 % (2894650)------------------------------
% 14.96/3.35 % (2894650)------------------------------
% 14.96/3.35 % (2894662)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=232575920:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 14.96/3.35 % (2894662)Refutation not found, incomplete strategy
% 14.96/3.35 % (2894662)------------------------------
% 14.96/3.35 % (2894662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/3.35 % (2894662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/3.35 % (2894662)CaDiCaL version: 2.1.3
% 14.96/3.35 % (2894662)Termination reason: Refutation not found, incomplete strategy
% 14.96/3.35 % (2894662)Time elapsed: 0.001 s
% 14.96/3.35 % (2894662)Peak memory usage: 88 MB
% 14.96/3.35 % (2894661)lrs+10_1_sil=8000:sp=occurrence:random_seed=4128660143:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 14.96/3.35 % (2894663)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=496914756:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 14.96/3.35 % (2894662)------------------------------
% 14.96/3.35 % (2894662)------------------------------
% 14.96/3.35 % (2894665)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=966472039:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 14.96/3.35 % (2894665)Refutation not found, incomplete strategy
% 14.96/3.35 % (2894665)------------------------------
% 14.96/3.35 % (2894665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/3.35 % (2894665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/3.35 % (2894665)CaDiCaL version: 2.1.3
% 14.96/3.35 % (2894665)Termination reason: Refutation not found, incomplete strategy
% 14.96/3.35 % (2894665)Time elapsed: 0.002 s
% 14.96/3.35 % (2894665)Peak memory usage: 88 MB
% 14.96/3.35 % (2894564)First to succeed.
% 14.96/3.35 % (2894564)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2894476"
% 14.96/3.35 % (2894672)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1233235289:st=8:i=592:sd=3:ep=RST:ss=axioms_2981 on theBenchmark for (2981ds/592Mi)
% 14.96/3.35 % (2894665)------------------------------
% 14.96/3.35 % (2894665)------------------------------
% 14.96/3.35 % (2894672)Instruction limit reached!
% 14.96/3.35 % (2894672)------------------------------
% 14.96/3.35 % (2894672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/3.35 % (2894672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/3.35 % (2894672)CaDiCaL version: 2.1.3
% 14.96/3.35 % (2894672)Termination reason: Instruction limit
% 14.96/3.35 % (2894672)Termination phase: Saturation
% 14.96/3.35 % (2894672)Time elapsed: 0.296 s
% 14.96/3.35 % (2894672)Peak memory usage: 92 MB
% 14.96/3.35 % (2894672)Instructions burned: 593 (million)
% 14.96/3.35 % (2894661)Instruction limit reached!
% 14.96/3.35 % (2894661)------------------------------
% 14.96/3.35 % (2894661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/3.35 % (2894661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/3.35 % (2894661)CaDiCaL version: 2.1.3
% 14.96/3.35 % (2894661)Termination reason: Instruction limit
% 14.96/3.35 % (2894661)Termination phase: Saturation
% 14.96/3.35 % (2894661)Time elapsed: 0.772 s
% 14.96/3.35 % (2894661)Peak memory usage: 101 MB
% 14.96/3.35 % (2894661)Instructions burned: 908 (million)
% 14.96/3.35 % (2894564)Refutation found. Thanks to Tanya!
% 14.96/3.35 % SZS status Theorem for theBenchmark
% 14.96/3.35 % SZS output start Proof for theBenchmark
% See solution above
% 17.85/3.55 % (2894564)------------------------------
% 17.85/3.55 % (2894564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.85/3.55 % (2894564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.85/3.55 % (2894564)CaDiCaL version: 2.1.3
% 17.85/3.55 % (2894564)Termination reason: Refutation
% 17.85/3.55 % (2894564)Time elapsed: 1.880 s
% 17.85/3.55 % (2894564)Peak memory usage: 138 MB
% 17.85/3.55 % (2894564)Instructions burned: 1909 (million)
% 17.85/3.55 % (2894564)------------------------------
% 17.85/3.55 % (2894564)------------------------------
% 17.85/3.55 % (2894476)Success in time 2.464 s
% 17.85/3.55 % Vampire exiting
%------------------------------------------------------------------------------