%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP667+6 : 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 : n013.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 10:15:33 AM UTC 2026
% Result : Theorem 37.31s 6.59s
% Output : Refutation 38.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 10
% Syntax : Number of formulae : 108 ( 104 unt; 0 def)
% Number of atoms : 120 ( 119 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 6 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 256 ( 244 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X0,X1,X2] : mult(mult(X2,X1),mult(mult(X0,X1),X0)) = mult(mult(X2,mult(mult(X1,X0),X1)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f8,axiom,
! [X0,X1] : mult(mult(X1,X0),X1) = mult(X1,mult(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f9,axiom,
! [X0] : mult(f(X0),f(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
fof(f10,conjecture,
( ! [X0,X1,X2] : mult(X2,mult(X0,mult(X2,X1))) = mult(mult(mult(X2,X0),X2),X1)
| ! [X3,X4,X5] : mult(X3,mult(X5,mult(X4,X5))) = mult(mult(mult(X3,X5),X4),X5)
| ! [X6,X7,X8] : mult(mult(X8,X6),mult(X7,X8)) = mult(mult(X8,mult(X6,X7)),X8)
| ! [X9,X10,X11] : mult(mult(X11,X9),mult(X10,X11)) = mult(X11,mult(mult(X9,X10),X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f11,negated_conjecture,
~ ( ! [X0,X1,X2] : mult(X2,mult(X0,mult(X2,X1))) = mult(mult(mult(X2,X0),X2),X1)
| ! [X3,X4,X5] : mult(X3,mult(X5,mult(X4,X5))) = mult(mult(mult(X3,X5),X4),X5)
| ! [X6,X7,X8] : mult(mult(X8,X6),mult(X7,X8)) = mult(mult(X8,mult(X6,X7)),X8)
| ! [X9,X10,X11] : mult(mult(X11,X9),mult(X10,X11)) = mult(X11,mult(mult(X9,X10),X11)) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,plain,
( ? [X0,X1,X2] : mult(X2,mult(X0,mult(X2,X1))) != mult(mult(mult(X2,X0),X2),X1)
& ? [X3,X4,X5] : mult(X3,mult(X5,mult(X4,X5))) != mult(mult(mult(X3,X5),X4),X5)
& ? [X6,X7,X8] : mult(mult(X8,X6),mult(X7,X8)) != mult(mult(X8,mult(X6,X7)),X8)
& ? [X9,X10,X11] : mult(mult(X11,X9),mult(X10,X11)) != mult(X11,mult(mult(X9,X10),X11)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f13,plain,
( mult(sK2,mult(sK0,mult(sK2,sK1))) != mult(mult(mult(sK2,sK0),sK2),sK1)
& mult(sK3,mult(sK5,mult(sK4,sK5))) != mult(mult(mult(sK3,sK5),sK4),sK5)
& mult(mult(sK8,sK6),mult(sK7,sK8)) != mult(mult(sK8,mult(sK6,sK7)),sK8)
& mult(mult(sK11,sK9),mult(sK10,sK11)) != mult(sK11,mult(mult(sK9,sK10),sK11)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11)],[f12]) ).
fof(f14,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f16,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f17,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f18,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f20,plain,
! [X2,X0,X1] : mult(mult(X2,X1),mult(mult(X0,X1),X0)) = mult(mult(X2,mult(mult(X1,X0),X1)),X0),
inference(cnf_transformation,[],[f7]) ).
fof(f21,plain,
! [X0,X1] : mult(mult(X1,X0),X1) = mult(X1,mult(X0,X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f22,plain,
! [X0] : mult(f(X0),f(X0)) = X0,
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
mult(sK3,mult(sK5,mult(sK4,sK5))) != mult(mult(mult(sK3,sK5),sK4),sK5),
inference(cnf_transformation,[],[f13]) ).
fof(f27,plain,
! [X2,X0,X1] : mult(mult(X2,X1),mult(mult(X0,X1),X0)) = mult(mult(X2,mult(X1,mult(X0,X1))),X0),
inference(forward_demodulation,[],[f20,f21]) ).
fof(f28,plain,
! [X2,X0,X1] : mult(mult(X2,mult(X1,mult(X0,X1))),X0) = mult(mult(X2,X1),mult(X0,mult(X1,X0))),
inference(forward_demodulation,[],[f27,f21]) ).
fof(f37,plain,
! [X0,X1] : mult(X0,mult(mult(X1,mult(X0,X1)),X0)) = mult(mult(X0,X1),mult(X0,mult(X1,X0))),
inference(superposition,[],[f21,f28]) ).
fof(f40,plain,
! [X0,X1] : mult(X0,X1) = mult(X1,mult(ld(X1,X0),X1)),
inference(superposition,[],[f21,f14]) ).
fof(f44,plain,
! [X0,X1] : mult(X0,X1) = rd(mult(X0,mult(X1,X0)),X0),
inference(superposition,[],[f17,f21]) ).
fof(f45,plain,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X2,X1))) = rd(mult(mult(X0,X1),mult(X2,mult(X1,X2))),X2),
inference(superposition,[],[f17,f28]) ).
fof(f46,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f17,f14]) ).
fof(f57,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,mult(X2,X1))) = rd(mult(X0,mult(X2,mult(X1,X2))),X2),
inference(superposition,[],[f45,f16]) ).
fof(f60,plain,
! [X0,X1] : mult(rd(X0,X1),mult(X1,rd(X0,X1))) = mult(X0,rd(X0,X1)),
inference(superposition,[],[f21,f16]) ).
fof(f61,plain,
! [X2,X0,X1] : mult(X0,X2) = mult(mult(rd(X0,mult(X1,mult(X2,X1))),X1),mult(X2,mult(X1,X2))),
inference(superposition,[],[f28,f16]) ).
fof(f67,plain,
! [X0,X1] : mult(X1,mult(mult(ld(X1,X0),X0),X1)) = mult(X0,mult(X1,mult(ld(X1,X0),X1))),
inference(superposition,[],[f37,f14]) ).
fof(f96,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(X1,mult(mult(ld(X1,X0),X0),X1)),
inference(forward_demodulation,[],[f67,f40]) ).
fof(f116,plain,
! [X2,X0,X1] : mult(mult(X2,X1),mult(ld(X1,X0),mult(X1,ld(X1,X0)))) = mult(mult(X2,mult(X0,X1)),ld(X1,X0)),
inference(superposition,[],[f28,f40]) ).
fof(f125,plain,
! [X2,X0,X1] : mult(mult(X2,mult(X0,X1)),ld(X1,X0)) = mult(mult(X2,X1),mult(ld(X1,X0),X0)),
inference(forward_demodulation,[],[f116,f14]) ).
fof(f200,plain,
! [X0,X1] : mult(X1,rd(X0,X1)) = rd(mult(X1,X0),X1),
inference(superposition,[],[f44,f16]) ).
fof(f381,plain,
! [X0,X1] : rd(mult(X0,mult(X1,mult(X0,X1))),X1) = mult(unit,mult(X0,mult(X1,X0))),
inference(superposition,[],[f45,f19]) ).
fof(f389,plain,
! [X0,X1] : mult(mult(X1,unit),mult(X0,mult(unit,X0))) = mult(mult(X1,mult(X0,unit)),X0),
inference(superposition,[],[f28,f19]) ).
fof(f397,plain,
! [X0,X1] : mult(mult(X1,X0),X0) = mult(mult(X1,unit),mult(X0,mult(unit,X0))),
inference(forward_demodulation,[],[f389,f18]) ).
fof(f403,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = rd(mult(X0,mult(X1,mult(X0,X1))),X1),
inference(forward_demodulation,[],[f381,f19]) ).
fof(f414,plain,
! [X0,X1] : mult(mult(X1,X0),X0) = mult(mult(X1,unit),mult(X0,X0)),
inference(forward_demodulation,[],[f397,f19]) ).
fof(f422,plain,
! [X0,X1] : mult(X1,mult(X0,X0)) = mult(mult(X1,X0),X0),
inference(forward_demodulation,[],[f414,f18]) ).
fof(f917,plain,
! [X2,X0,X1] : mult(X1,mult(X2,X1)) = ld(mult(rd(X0,mult(X2,mult(X1,X2))),X2),mult(X0,X1)),
inference(superposition,[],[f15,f61]) ).
fof(f1034,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(rd(X0,X1),X1))) = rd(mult(mult(X2,X1),mult(X0,rd(X0,X1))),rd(X0,X1)),
inference(superposition,[],[f45,f60]) ).
fof(f1075,plain,
! [X2,X0,X1] : rd(mult(mult(X2,X1),mult(X0,rd(X0,X1))),rd(X0,X1)) = mult(X2,mult(X1,X0)),
inference(forward_demodulation,[],[f1034,f16]) ).
fof(f1099,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,X2)) = rd(mult(X0,mult(X2,rd(X2,X1))),rd(X2,X1)),
inference(superposition,[],[f1075,f16]) ).
fof(f1435,plain,
! [X0,X1] : mult(X0,mult(unit,X0)) = ld(mult(rd(X1,mult(unit,X0)),unit),mult(X1,X0)),
inference(superposition,[],[f917,f18]) ).
fof(f1526,plain,
! [X0,X1] : mult(X0,mult(unit,X0)) = ld(rd(X1,mult(unit,X0)),mult(X1,X0)),
inference(forward_demodulation,[],[f1435,f18]) ).
fof(f1542,plain,
! [X0,X1] : mult(X0,X0) = ld(rd(X1,X0),mult(X1,X0)),
inference(forward_demodulation,[],[f1526,f19]) ).
fof(f2626,plain,
! [X0,X1] : rd(mult(X0,mult(X1,X0)),X0) = mult(rd(unit,X1),mult(X1,mult(X0,X1))),
inference(superposition,[],[f57,f19]) ).
fof(f2691,plain,
! [X0,X1] : mult(X0,rd(mult(X1,X0),X0)) = mult(rd(unit,X1),mult(X1,mult(X0,X1))),
inference(forward_demodulation,[],[f2626,f200]) ).
fof(f2744,plain,
! [X0,X1] : mult(X0,X1) = mult(rd(unit,X1),mult(X1,mult(X0,X1))),
inference(forward_demodulation,[],[f2691,f17]) ).
fof(f2827,plain,
! [X0,X1] : mult(rd(unit,X1),mult(X1,X0)) = X0,
inference(superposition,[],[f2744,f16]) ).
fof(f2836,plain,
! [X0,X1] : mult(ld(X1,X0),X1) = mult(rd(unit,X1),mult(X0,X1)),
inference(superposition,[],[f2744,f40]) ).
fof(f2941,plain,
! [X0,X1] : ld(X1,X0) = mult(rd(unit,X1),X0),
inference(superposition,[],[f2827,f14]) ).
fof(f2962,plain,
! [X0,X1] : mult(rd(unit,rd(X0,X1)),X0) = X1,
inference(superposition,[],[f2827,f16]) ).
fof(f2998,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = rd(unit,X1),
inference(superposition,[],[f17,f2827]) ).
fof(f3117,plain,
! [X0,X1] : mult(X0,X1) = ld(ld(X0,unit),X1),
inference(superposition,[],[f2941,f46]) ).
fof(f3145,plain,
! [X0,X1] : rd(unit,X0) = rd(ld(X0,X1),X1),
inference(superposition,[],[f17,f2941]) ).
fof(f3164,plain,
! [X0,X1] : mult(ld(X0,X1),X1) = mult(rd(unit,X0),mult(X1,X1)),
inference(superposition,[],[f422,f2941]) ).
fof(f3203,plain,
! [X0] : ld(X0,unit) = rd(unit,X0),
inference(superposition,[],[f18,f2941]) ).
fof(f3241,plain,
! [X0,X1] : mult(ld(X0,X1),X1) = ld(X0,mult(X1,X1)),
inference(forward_demodulation,[],[f3164,f2941]) ).
fof(f3260,plain,
! [X0,X1] : ld(X0,unit) = rd(ld(X0,X1),X1),
inference(forward_demodulation,[],[f3145,f3203]) ).
fof(f3332,plain,
! [X0,X1] : ld(X1,X0) = mult(ld(X1,f(X0)),f(X0)),
inference(superposition,[],[f3241,f22]) ).
fof(f3345,plain,
! [X0,X1] : mult(X0,mult(mult(ld(X0,X1),X1),X0)) = mult(mult(X1,X1),X0),
inference(superposition,[],[f40,f3241]) ).
fof(f3363,plain,
! [X0,X1] : mult(X1,mult(X1,X0)) = mult(mult(X1,X1),X0),
inference(forward_demodulation,[],[f3345,f96]) ).
fof(f3377,plain,
! [X0,X1] : mult(X0,X1) = mult(f(X0),mult(f(X0),X1)),
inference(superposition,[],[f3363,f22]) ).
fof(f3575,plain,
! [X0,X1] : rd(X0,X1) = rd(unit,rd(X1,X0)),
inference(superposition,[],[f17,f2962]) ).
fof(f3590,plain,
! [X0,X1] : mult(rd(unit,rd(X1,X0)),mult(X1,rd(unit,rd(X1,X0)))) = rd(mult(rd(unit,rd(X1,X0)),mult(X1,X0)),X1),
inference(superposition,[],[f403,f2962]) ).
fof(f3598,plain,
! [X2,X0,X1] : rd(mult(X0,mult(X2,rd(X2,X1))),rd(X2,X1)) = mult(rd(unit,rd(X1,X0)),mult(X1,X2)),
inference(superposition,[],[f1075,f2962]) ).
fof(f3616,plain,
! [X2,X0,X1] : rd(mult(X0,mult(X2,rd(X2,X1))),rd(X2,X1)) = ld(rd(X1,X0),mult(X1,X2)),
inference(forward_demodulation,[],[f3598,f2941]) ).
fof(f3624,plain,
! [X0,X1] : mult(rd(unit,rd(X1,X0)),mult(X1,rd(unit,rd(X1,X0)))) = rd(ld(rd(X1,X0),mult(X1,X0)),X1),
inference(forward_demodulation,[],[f3590,f2941]) ).
fof(f3639,plain,
! [X0,X1] : rd(X0,X1) = ld(rd(X1,X0),unit),
inference(forward_demodulation,[],[f3575,f3203]) ).
fof(f3652,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,X2)) = ld(rd(X1,X0),mult(X1,X2)),
inference(forward_demodulation,[],[f3616,f1099]) ).
fof(f3657,plain,
! [X0,X1] : rd(mult(X0,X0),X1) = mult(rd(unit,rd(X1,X0)),mult(X1,rd(unit,rd(X1,X0)))),
inference(forward_demodulation,[],[f3624,f1542]) ).
fof(f3674,plain,
! [X0,X1] : rd(mult(X0,X0),X1) = ld(rd(X1,X0),mult(X1,rd(unit,rd(X1,X0)))),
inference(forward_demodulation,[],[f3657,f2941]) ).
fof(f3687,plain,
! [X0,X1] : rd(mult(X0,X0),X1) = mult(rd(X0,X1),mult(X1,rd(unit,rd(X1,X0)))),
inference(forward_demodulation,[],[f3674,f3652]) ).
fof(f3692,plain,
! [X0,X1] : rd(mult(X0,X0),X1) = mult(rd(X0,X1),mult(X1,ld(rd(X1,X0),unit))),
inference(forward_demodulation,[],[f3687,f3203]) ).
fof(f3696,plain,
! [X0,X1] : mult(rd(X0,X1),mult(X1,rd(X0,X1))) = rd(mult(X0,X0),X1),
inference(forward_demodulation,[],[f3692,f3639]) ).
fof(f3697,plain,
! [X0,X1] : mult(X0,rd(X0,X1)) = rd(mult(X0,X0),X1),
inference(forward_demodulation,[],[f3696,f60]) ).
fof(f3968,plain,
! [X0,X1] : mult(ld(X0,unit),X1) = ld(mult(X0,unit),X1),
inference(superposition,[],[f3117,f3117]) ).
fof(f4013,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,unit),X1),
inference(forward_demodulation,[],[f3968,f18]) ).
fof(f4039,plain,
! [X0,X1] : rd(mult(X0,X0),mult(X1,X0)) = ld(rd(X1,X0),unit),
inference(superposition,[],[f3260,f1542]) ).
fof(f4074,plain,
! [X0,X1] : rd(X0,X1) = rd(mult(X0,X0),mult(X1,X0)),
inference(forward_demodulation,[],[f4039,f3639]) ).
fof(f4081,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,rd(X0,mult(X1,X0))),
inference(forward_demodulation,[],[f4074,f3697]) ).
fof(f4082,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,rd(unit,X1)),
inference(forward_demodulation,[],[f4081,f2998]) ).
fof(f4083,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,ld(X1,unit)),
inference(forward_demodulation,[],[f4082,f3203]) ).
fof(f4117,plain,
! [X0,X1] : mult(rd(X0,X1),X0) = mult(X0,mult(ld(X1,unit),X0)),
inference(superposition,[],[f21,f4083]) ).
fof(f4222,plain,
! [X0,X1] : mult(rd(X0,X1),X0) = mult(X0,ld(X1,X0)),
inference(forward_demodulation,[],[f4117,f4013]) ).
fof(f4393,plain,
! [X0,X1] : mult(X0,X1) = mult(X1,ld(ld(X0,X1),X1)),
inference(superposition,[],[f4222,f46]) ).
fof(f5544,plain,
! [X0,X1] : ld(ld(X0,X1),X1) = mult(rd(unit,X1),mult(X0,X1)),
inference(superposition,[],[f2827,f4393]) ).
fof(f5555,plain,
! [X0,X1] : mult(ld(X1,X0),X1) = ld(ld(X0,X1),X1),
inference(forward_demodulation,[],[f5544,f2836]) ).
fof(f5660,plain,
! [X0,X1] : rd(mult(ld(X0,X1),X0),X0) = ld(ld(X1,X0),unit),
inference(superposition,[],[f3260,f5555]) ).
fof(f5676,plain,
! [X0,X1] : ld(X0,X1) = ld(ld(X1,X0),unit),
inference(forward_demodulation,[],[f5660,f17]) ).
fof(f9532,plain,
! [X0,X1] : ld(X0,unit) = ld(mult(X1,X0),X1),
inference(superposition,[],[f5676,f15]) ).
fof(f29525,plain,
! [X2,X0,X1] : mult(mult(X2,mult(f(X0),X1)),mult(ld(mult(f(X0),X1),f(X0)),f(X0))) = mult(mult(X2,mult(X0,X1)),ld(mult(f(X0),X1),f(X0))),
inference(superposition,[],[f125,f3377]) ).
fof(f29838,plain,
! [X2,X0,X1] : mult(mult(X2,mult(f(X0),X1)),mult(ld(X1,unit),f(X0))) = mult(mult(X2,mult(X0,X1)),ld(X1,unit)),
inference(forward_demodulation,[],[f29525,f9532]) ).
fof(f29986,plain,
! [X2,X0,X1] : mult(mult(X2,mult(f(X0),X1)),mult(ld(X1,unit),f(X0))) = rd(mult(X2,mult(X0,X1)),X1),
inference(forward_demodulation,[],[f29838,f4083]) ).
fof(f30091,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),X1) = mult(mult(X2,mult(f(X0),X1)),ld(X1,f(X0))),
inference(forward_demodulation,[],[f29986,f4013]) ).
fof(f30164,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),X1) = mult(mult(X2,X1),mult(ld(X1,f(X0)),f(X0))),
inference(forward_demodulation,[],[f30091,f125]) ).
fof(f30199,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),X1) = mult(mult(X2,X1),ld(X1,X0)),
inference(forward_demodulation,[],[f30164,f3332]) ).
fof(f55678,plain,
! [X2,X0,X1] : mult(mult(X2,X0),ld(X0,mult(X0,X1))) = rd(mult(X2,mult(X0,mult(X1,X0))),X0),
inference(superposition,[],[f30199,f21]) ).
fof(f56101,plain,
! [X2,X0,X1] : mult(mult(X2,X0),X1) = rd(mult(X2,mult(X0,mult(X1,X0))),X0),
inference(forward_demodulation,[],[f55678,f15]) ).
fof(f57361,plain,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X2,X1))) = mult(mult(mult(X0,X1),X2),X1),
inference(superposition,[],[f16,f56101]) ).
fof(f58179,plain,
mult(sK3,mult(sK5,mult(sK4,sK5))) != mult(sK3,mult(sK5,mult(sK4,sK5))),
inference(superposition,[],[f25,f57361]) ).
fof(f58296,plain,
$false,
inference(trivial_inequality_removal,[],[f58179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP667+6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 % Computer : n013.cluster.edu
% 0.23/0.49 % Model : x86_64 x86_64
% 0.23/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.49 % Memory : 8046.5625MB
% 0.23/0.49 % OS : Linux 6.8.0-71-generic
% 0.23/0.49 % CPULimit : 300
% 0.23/0.49 % WCLimit : 300
% 0.23/0.49 % DateTime : Sun Sep 27 10:33:36 UTC 2026
% 0.23/0.49 % CPUTime :
% 0.23/0.49 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.55 Running first-order theorem proving
% 0.23/0.55 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
% 22.26/4.44 % (22890)Detected formulas, will run a generic FOF schedule.
% 22.26/4.44 % (22901)dis-21_1_sil=8000:lcm=predicate:random_seed=3179760438: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)
% 22.26/4.44 % (22901)Refutation not found, incomplete strategy
% 22.26/4.44 % (22901)------------------------------
% 22.26/4.44 % (22901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.26/4.44 % (22901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.26/4.44 % (22901)CaDiCaL version: 2.1.3
% 22.26/4.44 % (22901)Termination reason: Refutation not found, incomplete strategy
% 22.26/4.44 % (22901)Time elapsed: 0.002 s
% 22.26/4.44 % (22901)Peak memory usage: 88 MB
% 22.26/4.44 % (22901)Instructions burned: 1 (million)
% 22.26/4.44 % (22897)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=3735623061:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 22.26/4.44 % (22899)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2159905063:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 22.26/4.44 % (22896)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=3818599425:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 22.26/4.44 % (22898)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3607539653:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 22.26/4.44 % (22895)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=3348540939:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 22.26/4.44 % (22898)Refutation not found, incomplete strategy
% 22.26/4.44 % (22898)------------------------------
% 22.26/4.44 % (22898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.26/4.44 % (22898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.26/4.44 % (22898)CaDiCaL version: 2.1.3
% 22.26/4.44 % (22898)Termination reason: Refutation not found, incomplete strategy
% 22.26/4.44 % (22898)Time elapsed: 0.002 s
% 22.26/4.44 % (22898)Peak memory usage: 88 MB
% 22.26/4.44 % (22898)Instructions burned: 1 (million)
% 22.26/4.44 % (22900)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3157857633:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 22.26/4.44 % (22899)Instruction limit reached!
% 22.26/4.44 % (22899)------------------------------
% 22.26/4.44 % (22899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.26/4.44 % (22899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.26/4.44 % (22899)CaDiCaL version: 2.1.3
% 22.26/4.44 % (22899)Termination reason: Instruction limit
% 22.26/4.44 % (22899)Termination phase: Saturation
% 22.26/4.44 % (22899)Time elapsed: 0.104 s
% 22.26/4.44 % (22899)Peak memory usage: 88 MB
% 22.26/4.44 % (22899)Instructions burned: 119 (million)
% 22.26/4.44 % (22900)Instruction limit reached!
% 22.26/4.44 % (22900)------------------------------
% 22.26/4.44 % (22900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.26/4.44 % (22900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.26/4.44 % (22900)CaDiCaL version: 2.1.3
% 22.26/4.44 % (22900)Termination reason: Instruction limit
% 22.26/4.44 % (22900)Termination phase: Saturation
% 22.26/4.44 % (22900)Time elapsed: 0.129 s
% 22.26/4.44 % (22900)Peak memory usage: 89 MB
% 22.26/4.44 % (22900)Instructions burned: 140 (million)
% 22.26/4.44 % (22901)------------------------------
% 22.26/4.44 % (22901)------------------------------
% 22.26/4.44 % (22909)lrs+10_1_sil=8000:sp=occurrence:random_seed=631997812:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 22.26/4.44 % (22898)------------------------------
% 22.26/4.44 % (22898)------------------------------
% 22.26/4.44 % (22911)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1629939125:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 22.26/4.44 % (22910)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2793216194:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 22.26/4.44 % (22911)Instruction limit reached!
% 22.26/4.44 % (22911)------------------------------
% 22.26/4.44 % (22911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.26/4.44 % (22911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.12/5.60 % (22911)CaDiCaL version: 2.1.3
% 30.12/5.60 % (22911)Termination reason: Instruction limit
% 30.12/5.60 % (22911)Termination phase: Saturation
% 30.12/5.60 % (22911)Time elapsed: 0.173 s
% 30.12/5.60 % (22911)Peak memory usage: 93 MB
% 30.12/5.60 % (22911)Instructions burned: 326 (million)
% 30.12/5.60 % (22910)Instruction limit reached!
% 30.12/5.60 % (22910)------------------------------
% 30.12/5.60 % (22910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.12/5.60 % (22910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.12/5.60 % (22910)CaDiCaL version: 2.1.3
% 30.12/5.60 % (22910)Termination reason: Instruction limit
% 30.12/5.60 % (22910)Termination phase: Saturation
% 30.12/5.60 % (22910)Time elapsed: 0.153 s
% 30.12/5.60 % (22910)Peak memory usage: 90 MB
% 30.12/5.60 % (22910)Instructions burned: 157 (million)
% 30.12/5.60 % (22909)Instruction limit reached!
% 30.12/5.60 % (22909)------------------------------
% 30.12/5.60 % (22909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.12/5.60 % (22909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.12/5.60 % (22909)CaDiCaL version: 2.1.3
% 30.12/5.60 % (22909)Termination reason: Instruction limit
% 30.12/5.60 % (22909)Termination phase: Saturation
% 30.12/5.60 % (22909)Time elapsed: 0.286 s
% 30.12/5.60 % (22909)Peak memory usage: 91 MB
% 30.12/5.60 % (22909)Instructions burned: 285 (million)
% 30.12/5.60 % (22914)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=3427217481:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 30.12/5.60 % (22916)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=264257329:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 30.12/5.60 % (22916)Refutation not found, incomplete strategy
% 30.12/5.60 % (22916)------------------------------
% 30.12/5.60 % (22916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.12/5.60 % (22916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.12/5.60 % (22916)CaDiCaL version: 2.1.3
% 30.12/5.60 % (22916)Termination reason: Refutation not found, incomplete strategy
% 30.12/5.60 % (22916)Time elapsed: 0.001 s
% 30.12/5.60 % (22916)Peak memory usage: 88 MB
% 30.12/5.60 % (22916)Instructions burned: 1 (million)
% 30.12/5.60 % (22917)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2804830922:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 30.12/5.60 % (22914)Instruction limit reached!
% 30.12/5.60 % (22914)------------------------------
% 30.12/5.60 % (22914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.12/5.60 % (22914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.12/5.60 % (22914)CaDiCaL version: 2.1.3
% 30.12/5.60 % (22914)Termination reason: Instruction limit
% 30.12/5.60 % (22914)Termination phase: Saturation
% 30.12/5.60 % (22914)Time elapsed: 0.234 s
% 30.12/5.60 % (22914)Peak memory usage: 91 MB
% 30.12/5.60 % (22914)Instructions burned: 248 (million)
% 30.12/5.60 % (22897)Refutation not found, incomplete strategy
% 30.12/5.60 % (22897)------------------------------
% 30.12/5.60 % (22897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.12/5.60 % (22897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.12/5.60 % (22897)CaDiCaL version: 2.1.3
% 30.12/5.60 % (22897)Termination reason: Refutation not found, incomplete strategy
% 30.12/5.60 % (22897)Time elapsed: 0.944 s
% 30.12/5.60 % (22897)Peak memory usage: 127 MB
% 30.12/5.60 % (22897)Instructions burned: 894 (million)
% 30.12/5.60 % (22918)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=677552728:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 30.12/5.60 % (22918)Refutation not found, incomplete strategy
% 30.12/5.60 % (22918)------------------------------
% 30.12/5.60 % (22918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.12/5.60 % (22918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.12/5.60 % (22918)CaDiCaL version: 2.1.3
% 30.12/5.60 % (22918)Termination reason: Refutation not found, incomplete strategy
% 30.12/5.60 % (22918)Time elapsed: 0.003 s
% 30.12/5.60 % (22918)Peak memory usage: 88 MB
% 30.12/5.60 % (22918)Instructions burned: 1 (million)
% 30.12/5.60 % (22916)------------------------------
% 30.12/5.60 % (22916)------------------------------
% 30.12/5.60 % (22922)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1590144148:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 37.31/6.59 % (22922)Refutation not found, incomplete strategy
% 37.31/6.59 % (22922)------------------------------
% 37.31/6.59 % (22922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.31/6.59 % (22922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.31/6.59 % (22922)CaDiCaL version: 2.1.3
% 37.31/6.59 % (22922)Termination reason: Refutation not found, incomplete strategy
% 37.31/6.59 % (22922)Time elapsed: 0.002 s
% 37.31/6.59 % (22922)Peak memory usage: 87 MB
% 37.31/6.59 % (22897)------------------------------
% 37.31/6.59 % (22897)------------------------------
% 37.31/6.59 % (22918)------------------------------
% 37.31/6.59 % (22918)------------------------------
% 37.31/6.59 % (22924)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4150655364:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 37.31/6.59 % (22924)Instruction limit reached!
% 37.31/6.59 % (22924)------------------------------
% 37.31/6.59 % (22924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.31/6.59 % (22924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.31/6.59 % (22924)CaDiCaL version: 2.1.3
% 37.31/6.59 % (22924)Termination reason: Instruction limit
% 37.31/6.59 % (22924)Termination phase: Saturation
% 37.31/6.59 % (22924)Time elapsed: 0.102 s
% 37.31/6.59 % (22924)Peak memory usage: 88 MB
% 37.31/6.59 % (22924)Instructions burned: 115 (million)
% 37.31/6.59 % (22927)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1409689848:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 37.31/6.59 % (22927)Refutation not found, incomplete strategy
% 37.31/6.59 % (22927)------------------------------
% 37.31/6.59 % (22927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.31/6.59 % (22927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.31/6.59 % (22927)CaDiCaL version: 2.1.3
% 37.31/6.59 % (22927)Termination reason: Refutation not found, incomplete strategy
% 37.31/6.59 % (22927)Time elapsed: 0.003 s
% 37.31/6.59 % (22927)Peak memory usage: 88 MB
% 37.31/6.59 % (22927)Instructions burned: 1 (million)
% 37.31/6.59 % (22922)------------------------------
% 37.31/6.59 % (22922)------------------------------
% 37.31/6.59 % (22926)lrs+10_1_sil=8000:sp=occurrence:random_seed=2161910380:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 37.31/6.59 % (22929)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2297489207:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 37.31/6.59 % (22932)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2405454049:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 37.31/6.59 % (22932)Refutation not found, incomplete strategy
% 37.31/6.59 % (22932)------------------------------
% 37.31/6.59 % (22932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.31/6.59 % (22932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.31/6.59 % (22932)CaDiCaL version: 2.1.3
% 37.31/6.59 % (22932)Termination reason: Refutation not found, incomplete strategy
% 37.31/6.59 % (22932)Time elapsed: 0.003 s
% 37.31/6.59 % (22932)Peak memory usage: 88 MB
% 37.31/6.59 % (22932)Instructions burned: 1 (million)
% 37.31/6.59 % (22927)------------------------------
% 37.31/6.59 % (22927)------------------------------
% 37.31/6.59 % (22932)------------------------------
% 37.31/6.59 % (22932)------------------------------
% 37.31/6.59 % (22935)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1296782177:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 37.31/6.59 % (22926)Instruction limit reached!
% 37.31/6.59 % (22926)------------------------------
% 37.31/6.59 % (22926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.31/6.59 % (22926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.31/6.59 % (22926)CaDiCaL version: 2.1.3
% 37.31/6.59 % (22926)Termination reason: Instruction limit
% 37.31/6.59 % (22926)Termination phase: Saturation
% 37.31/6.59 % (22926)Time elapsed: 0.900 s
% 37.31/6.59 % (22926)Peak memory usage: 99 MB
% 37.31/6.59 % (22926)Instructions burned: 908 (million)
% 37.31/6.59 % (22936)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=281274804:st=3:i=13193:sd=3:ss=axioms_2973 on theBenchmark for (2973ds/13193Mi)
% 37.31/6.59 % (22938)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=644392965:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/125Mi)
% 37.31/6.59 % (22938)Instruction limit reached!
% 37.31/6.59 % (22938)------------------------------
% 37.31/6.59 % (22938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.31/6.59 % (22938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.31/6.59 % (22938)CaDiCaL version: 2.1.3
% 37.31/6.59 % (22938)Termination reason: Instruction limit
% 37.31/6.59 % (22938)Termination phase: Saturation
% 37.31/6.59 % (22938)Time elapsed: 0.123 s
% 37.31/6.59 % (22938)Peak memory usage: 90 MB
% 37.31/6.59 % (22938)Instructions burned: 125 (million)
% 37.31/6.59 % (22935)Instruction limit reached!
% 37.31/6.59 % (22935)------------------------------
% 37.31/6.59 % (22935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.31/6.59 % (22935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.31/6.59 % (22935)CaDiCaL version: 2.1.3
% 37.31/6.59 % (22935)Termination reason: Instruction limit
% 37.31/6.59 % (22935)Termination phase: Saturation
% 37.31/6.59 % (22935)Time elapsed: 0.634 s
% 37.31/6.59 % (22935)Peak memory usage: 95 MB
% 37.31/6.59 % (22935)Instructions burned: 592 (million)
% 37.31/6.59 % (22941)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2289279336:i=134:gtgl=5:slsql=off:gtg=exists_sym_2967 on theBenchmark for (2967ds/134Mi)
% 37.31/6.59 % (22942)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=433443295:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/141Mi)
% 37.31/6.59 % (22942)Refutation not found, incomplete strategy
% 37.31/6.59 % (22942)------------------------------
% 37.31/6.59 % (22942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.31/6.59 % (22942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.31/6.59 % (22942)CaDiCaL version: 2.1.3
% 37.31/6.59 % (22942)Termination reason: Refutation not found, incomplete strategy
% 37.31/6.59 % (22942)Time elapsed: 0.002 s
% 37.31/6.59 % (22942)Peak memory usage: 88 MB
% 37.31/6.59 % (22917)Instruction limit reached!
% 37.31/6.59 % (22917)------------------------------
% 37.31/6.59 % (22917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.31/6.59 % (22917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.31/6.59 % (22917)CaDiCaL version: 2.1.3
% 37.31/6.59 % (22917)Termination reason: Instruction limit
% 37.31/6.59 % (22917)Termination phase: Saturation
% 37.31/6.59 % (22917)Time elapsed: 2.480 s
% 37.31/6.59 % (22917)Peak memory usage: 143 MB
% 37.31/6.59 % (22917)Instructions burned: 2350 (million)
% 37.31/6.59 % (22941)Instruction limit reached!
% 37.31/6.59 % (22941)------------------------------
% 37.31/6.59 % (22941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.31/6.59 % (22941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.31/6.59 % (22941)CaDiCaL version: 2.1.3
% 37.31/6.59 % (22941)Termination reason: Instruction limit
% 37.31/6.59 % (22941)Termination phase: Saturation
% 37.31/6.59 % (22941)Time elapsed: 0.125 s
% 37.31/6.59 % (22941)Peak memory usage: 91 MB
% 37.31/6.59 % (22941)Instructions burned: 134 (million)
% 37.31/6.59 % (22946)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=924529215:i=6060:aac=none:ins=25_2963 on theBenchmark for (2963ds/6060Mi)
% 37.31/6.59 % (22945)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=307358509:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2963 on theBenchmark for (2963ds/431Mi)
% 37.31/6.59 % (22945)Refutation not found, incomplete strategy
% 37.31/6.59 % (22945)------------------------------
% 37.31/6.59 % (22945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.31/6.59 % (22945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.31/6.59 % (22945)CaDiCaL version: 2.1.3
% 37.31/6.59 % (22945)Termination reason: Refutation not found, incomplete strategy
% 37.31/6.59 % (22945)Time elapsed: 0.002 s
% 37.31/6.59 % (22945)Peak memory usage: 88 MB
% 37.31/6.59 % (22942)------------------------------
% 37.31/6.59 % (22942)------------------------------
% 37.31/6.59 % (22949)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=415231621:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2960 on theBenchmark for (2960ds/150Mi)
% 37.31/6.59 % (22945)------------------------------
% 37.31/6.59 % (22945)------------------------------
% 37.31/6.59 % (22949)Instruction limit reached!
% 37.31/6.59 % (22949)------------------------------
% 37.31/6.59 % (22949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.31/6.59 % (22949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.31/6.59 % (22949)CaDiCaL version: 2.1.3
% 37.31/6.59 % (22949)Termination reason: Instruction limit
% 37.31/6.59 % (22949)Termination phase: Saturation
% 37.31/6.59 % (22949)Time elapsed: 0.148 s
% 37.31/6.59 % (22949)Peak memory usage: 90 MB
% 37.31/6.59 % (22949)Instructions burned: 150 (million)
% 37.31/6.59 % (22951)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2487182678:i=14155:bd=all_2956 on theBenchmark for (2956ds/14155Mi)
% 37.31/6.59 % (22952)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3751719531:i=667:av=off:fsr=off_2955 on theBenchmark for (2955ds/667Mi)
% 37.31/6.59 % (22952)Refutation not found, incomplete strategy
% 37.31/6.59 % (22952)------------------------------
% 37.31/6.59 % (22952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.31/6.59 % (22952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.31/6.59 % (22952)CaDiCaL version: 2.1.3
% 37.31/6.59 % (22952)Termination reason: Refutation not found, incomplete strategy
% 37.31/6.59 % (22952)Time elapsed: 0.002 s
% 37.31/6.59 % (22952)Peak memory usage: 88 MB
% 37.31/6.59 % (22952)Instructions burned: 1 (million)
% 37.31/6.59 % (22896)First to succeed.
% 37.31/6.59 % (22896)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22890"
% 37.31/6.59 % (22952)------------------------------
% 37.31/6.59 % (22952)------------------------------
% 37.31/6.59 % (22896)Refutation found. Thanks to Tanya!
% 37.31/6.59 % SZS status Theorem for theBenchmark
% 37.31/6.59 % SZS output start Proof for theBenchmark
% See solution above
% 38.29/6.98 % (22896)------------------------------
% 38.29/6.98 % (22896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.29/6.98 % (22896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.29/6.98 % (22896)CaDiCaL version: 2.1.3
% 38.29/6.98 % (22896)Termination reason: Refutation
% 38.29/6.98 % (22896)Time elapsed: 4.729 s
% 38.29/6.98 % (22896)Peak memory usage: 194 MB
% 38.29/6.98 % (22896)Instructions burned: 7546 (million)
% 38.29/6.98 % (22896)------------------------------
% 38.29/6.98 % (22896)------------------------------
% 38.29/6.98 % (22890)Success in time 5.281 s
% 38.29/6.98 % Vampire exiting
%------------------------------------------------------------------------------