%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP720-2 : 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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:16:03 AM UTC 2026
% Result : Unsatisfiable 83.77s 27.43s
% Output : Refutation 188.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 85
% Number of leaves : 8
% Syntax : Number of formulae : 172 ( 172 unt; 1 def)
% Number of atoms : 172 ( 103 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 16 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 433 ( 433 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f4,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f5,axiom,
! [X0,X1] : mult(X0,X1) = mult(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f6,axiom,
! [X2,X3,X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,X3)))) = mult(ld(mult(X0,X1),mult(X0,mult(X1,X2))),ld(mult(X0,X1),mult(X0,mult(X1,X3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
fof(f8,axiom,
! [X0] : mult(mult(op_a,op_a),mult(op_b,op_b)) != mult(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f9,definition,
~ sP0(mult(mult(op_a,op_a),mult(op_b,op_b))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f10,plain,
! [X0] : sP0(mult(X0,X0)),
inference(inequality_splitting,[],[f8,f9]) ).
fof(f12,plain,
! [X0,X1] : ld(X1,mult(X0,X1)) = X0,
inference(superposition,[],[f4,f5]) ).
fof(f18,plain,
! [X0,X1] : ld(ld(X1,X0),X0) = X1,
inference(superposition,[],[f12,f3]) ).
fof(f24,plain,
~ sP0(mult(mult(op_b,op_b),mult(op_a,op_a))),
inference(superposition,[],[f9,f5]) ).
fof(f27,plain,
! [X0] : ld(unit,X0) = X0,
inference(superposition,[],[f12,f1]) ).
fof(f30,plain,
! [X0] : unit = ld(X0,X0),
inference(superposition,[],[f4,f1]) ).
fof(f43,plain,
! [X2,X3,X0,X1] : ld(mult(X1,X2),mult(X1,mult(X2,mult(ld(X2,X0),X3)))) = mult(ld(mult(X1,X2),mult(X1,X0)),ld(mult(X1,X2),mult(X1,mult(X2,X3)))),
inference(superposition,[],[f6,f3]) ).
fof(f50,plain,
! [X0,X1] : ld(mult(X0,X0),mult(X0,mult(X0,mult(X0,X1)))) = mult(X0,ld(mult(X0,X0),mult(X0,mult(X0,X1)))),
inference(superposition,[],[f6,f12]) ).
fof(f59,plain,
! [X2,X3,X0,X1] : ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,ld(X2,X0))))) = mult(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),mult(X1,X0))),
inference(superposition,[],[f6,f3]) ).
fof(f69,plain,
! [X2,X3,X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,X3))) = ld(ld(mult(X0,X1),mult(X0,mult(X1,X2))),ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,X3))))),
inference(superposition,[],[f4,f6]) ).
fof(f129,plain,
! [X2,X3,X0,X1] : ld(mult(X1,X2),mult(X1,mult(X2,mult(ld(X2,X0),ld(X2,X3))))) = mult(ld(mult(X1,X2),mult(X1,X0)),ld(mult(X1,X2),mult(X1,X3))),
inference(superposition,[],[f59,f3]) ).
fof(f139,plain,
! [X2,X3,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),mult(X2,ld(ld(X1,X0),X3))))) = mult(ld(X0,mult(X1,mult(ld(X1,X0),X2))),ld(X0,mult(X1,X3))),
inference(superposition,[],[f59,f3]) ).
fof(f145,plain,
! [X2,X3,X0,X1] : ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,ld(X2,ld(X1,X0)))))) = mult(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),X0)),
inference(superposition,[],[f59,f3]) ).
fof(f149,plain,
! [X2,X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,ld(X1,mult(X0,X1)))))) = mult(ld(mult(X0,X1),mult(X0,mult(X1,X2))),X0),
inference(superposition,[],[f59,f12]) ).
fof(f153,plain,
! [X2,X0,X1] : sP0(ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,ld(X1,mult(X1,X2))))))),
inference(superposition,[],[f10,f59]) ).
fof(f159,plain,
! [X2,X0,X1] : sP0(ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,X2))))),
inference(forward_demodulation,[],[f153,f4]) ).
fof(f161,plain,
! [X2,X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,ld(X1,mult(X0,X1)))))) = mult(X0,ld(mult(X0,X1),mult(X0,mult(X1,X2)))),
inference(forward_demodulation,[],[f149,f5]) ).
fof(f179,plain,
! [X2,X0,X1] : mult(X0,ld(mult(X0,X1),mult(X0,mult(X1,X2)))) = ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,X0)))),
inference(forward_demodulation,[],[f161,f12]) ).
fof(f206,plain,
! [X0,X1] : ld(mult(X1,X1),mult(X1,mult(X1,X0))) = mult(X1,ld(mult(X1,X1),mult(X1,X0))),
inference(superposition,[],[f50,f3]) ).
fof(f231,plain,
! [X2,X3,X0,X1] : ld(mult(X1,X2),mult(X1,mult(X2,mult(ld(X2,ld(X1,X0)),X3)))) = mult(ld(mult(X1,X2),X0),ld(mult(X1,X2),mult(X1,mult(X2,X3)))),
inference(superposition,[],[f43,f3]) ).
fof(f239,plain,
! [X2,X3,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),mult(ld(ld(X1,X0),X2),X3)))) = mult(ld(X0,mult(X1,X2)),ld(X0,mult(X1,mult(ld(X1,X0),X3)))),
inference(superposition,[],[f43,f3]) ).
fof(f252,plain,
! [X0,X1] : ld(mult(X0,X0),mult(X0,mult(X0,mult(ld(X0,X1),X0)))) = mult(ld(mult(X0,X0),mult(X0,X1)),X0),
inference(superposition,[],[f43,f12]) ).
fof(f266,plain,
! [X0,X1] : mult(X0,ld(mult(X0,X0),mult(X0,X1))) = ld(mult(X0,X0),mult(X0,mult(X0,mult(ld(X0,X1),X0)))),
inference(forward_demodulation,[],[f252,f5]) ).
fof(f287,plain,
! [X0,X1] : mult(X0,ld(mult(X0,X0),mult(X0,X1))) = mult(X0,ld(mult(X0,X0),mult(X0,mult(X0,ld(X0,X1))))),
inference(forward_demodulation,[],[f266,f179]) ).
fof(f297,plain,
! [X0,X1] : mult(X0,ld(mult(X0,X0),mult(X0,X1))) = mult(X0,mult(X0,ld(mult(X0,X0),mult(X0,ld(X0,X1))))),
inference(forward_demodulation,[],[f287,f206]) ).
fof(f304,plain,
! [X0,X1] : mult(X0,ld(mult(X0,X0),mult(X0,X1))) = mult(X0,mult(X0,ld(mult(X0,X0),X1))),
inference(forward_demodulation,[],[f297,f3]) ).
fof(f328,plain,
! [X0,X1] : ld(mult(X0,X0),mult(X0,X1)) = ld(X0,mult(X0,mult(X0,ld(mult(X0,X0),X1)))),
inference(superposition,[],[f4,f304]) ).
fof(f332,plain,
! [X0,X1] : ld(mult(X0,X0),mult(X0,X1)) = mult(X0,ld(mult(X0,X0),X1)),
inference(forward_demodulation,[],[f328,f4]) ).
fof(f355,plain,
! [X0] : mult(X0,ld(mult(X0,X0),unit)) = ld(mult(X0,X0),X0),
inference(superposition,[],[f332,f1]) ).
fof(f362,plain,
! [X0] : unit = mult(X0,ld(mult(X0,X0),X0)),
inference(superposition,[],[f30,f332]) ).
fof(f393,plain,
! [X0] : ld(X0,unit) = ld(mult(X0,X0),X0),
inference(superposition,[],[f4,f362]) ).
fof(f400,plain,
! [X0] : ld(X0,unit) = mult(X0,ld(mult(X0,X0),unit)),
inference(backward_demodulation,[],[f355,f393]) ).
fof(f407,plain,
! [X0] : ld(mult(X0,X0),unit) = ld(X0,ld(X0,unit)),
inference(superposition,[],[f4,f400]) ).
fof(f432,plain,
! [X0] : mult(X0,X0) = ld(ld(X0,unit),X0),
inference(superposition,[],[f18,f393]) ).
fof(f438,plain,
! [X0] : ld(X0,ld(X0,unit)) = mult(ld(X0,unit),ld(X0,unit)),
inference(superposition,[],[f432,f18]) ).
fof(f443,plain,
! [X0] : mult(ld(X0,unit),mult(X0,X0)) = X0,
inference(superposition,[],[f3,f432]) ).
fof(f819,plain,
! [X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,X0))) = mult(X0,ld(mult(X0,X1),mult(X0,mult(X1,unit)))),
inference(superposition,[],[f179,f2]) ).
fof(f852,plain,
! [X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,X0))) = mult(X0,ld(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[],[f819,f1]) ).
fof(f865,plain,
! [X0,X1] : mult(X0,unit) = ld(mult(X0,X1),mult(X0,mult(X1,X0))),
inference(forward_demodulation,[],[f852,f30]) ).
fof(f875,plain,
! [X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,X0))) = X0,
inference(forward_demodulation,[],[f865,f1]) ).
fof(f1107,plain,
! [X0,X1] : ld(mult(ld(X0,unit),X0),mult(ld(X0,unit),mult(X0,mult(X0,ld(X0,ld(ld(X0,unit),X1)))))) = mult(ld(mult(ld(X0,unit),X0),X0),ld(mult(ld(X0,unit),X0),X1)),
inference(superposition,[],[f145,f443]) ).
fof(f1131,plain,
! [X2,X3,X0,X1] : ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,ld(X2,ld(X1,mult(mult(X1,X2),X0))))))) = mult(ld(mult(X1,X2),mult(X1,mult(X2,X3))),X0),
inference(superposition,[],[f145,f4]) ).
fof(f1141,plain,
! [X2,X0,X1] : ld(ld(mult(X0,X1),mult(X0,mult(X1,X2))),unit) = ld(ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,ld(X1,ld(X0,mult(X0,mult(X1,X2)))))))),ld(mult(X0,X1),mult(X0,mult(X1,X2)))),
inference(superposition,[],[f393,f145]) ).
fof(f1178,plain,
! [X2,X0,X1] : ld(ld(mult(X0,X1),mult(X0,mult(X1,X2))),unit) = ld(ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,ld(X1,mult(X1,X2)))))),ld(mult(X0,X1),mult(X0,mult(X1,X2)))),
inference(forward_demodulation,[],[f1141,f4]) ).
fof(f1199,plain,
! [X0,X1] : ld(mult(X0,ld(X0,unit)),mult(ld(X0,unit),mult(X0,mult(X0,ld(X0,ld(ld(X0,unit),X1)))))) = mult(ld(mult(X0,ld(X0,unit)),X0),ld(mult(X0,ld(X0,unit)),X1)),
inference(forward_demodulation,[],[f1107,f5]) ).
fof(f1223,plain,
! [X2,X0,X1] : ld(ld(mult(X0,X1),mult(X0,mult(X1,X2))),unit) = ld(ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,X2)))),ld(mult(X0,X1),mult(X0,mult(X1,X2)))),
inference(forward_demodulation,[],[f1178,f4]) ).
fof(f1243,plain,
! [X0,X1] : ld(unit,mult(ld(X0,unit),mult(X0,mult(X0,ld(X0,ld(ld(X0,unit),X1)))))) = mult(ld(unit,X0),ld(unit,X1)),
inference(forward_demodulation,[],[f1199,f3]) ).
fof(f1268,plain,
! [X0,X1] : ld(unit,mult(ld(X0,unit),mult(X0,mult(X0,ld(X0,ld(ld(X0,unit),X1)))))) = mult(ld(unit,X0),X1),
inference(forward_demodulation,[],[f1243,f27]) ).
fof(f1288,plain,
! [X0,X1] : mult(X0,X1) = ld(unit,mult(ld(X0,unit),mult(X0,mult(X0,ld(X0,ld(ld(X0,unit),X1)))))),
inference(forward_demodulation,[],[f1268,f27]) ).
fof(f1303,plain,
! [X0,X1] : mult(X0,X1) = mult(ld(X0,unit),mult(X0,mult(X0,ld(X0,ld(ld(X0,unit),X1))))),
inference(forward_demodulation,[],[f1288,f27]) ).
fof(f1310,plain,
! [X0,X1] : mult(X0,X1) = mult(ld(X0,unit),mult(X0,ld(ld(X0,unit),X1))),
inference(forward_demodulation,[],[f1303,f3]) ).
fof(f2035,plain,
! [X2,X3,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),mult(ld(ld(X1,X0),X2),ld(ld(X1,X0),X3))))) = mult(ld(X0,mult(X1,X2)),ld(X0,mult(X1,X3))),
inference(superposition,[],[f129,f3]) ).
fof(f2350,plain,
! [X0,X1] : mult(ld(X1,unit),mult(X1,X0)) = mult(X1,mult(X0,ld(X1,unit))),
inference(superposition,[],[f1310,f12]) ).
fof(f2358,plain,
! [X0,X1] : mult(X0,ld(ld(X0,unit),X1)) = ld(ld(X0,unit),mult(X0,X1)),
inference(superposition,[],[f4,f1310]) ).
fof(f2599,plain,
! [X0,X1] : mult(X1,ld(ld(X1,unit),X0)) = ld(ld(X1,unit),mult(X0,X1)),
inference(superposition,[],[f2358,f5]) ).
fof(f2959,plain,
! [X2,X3,X0,X1] : ld(mult(X1,X2),mult(X1,mult(X2,ld(X3,X0)))) = ld(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),mult(X1,mult(X2,X0)))),
inference(superposition,[],[f69,f3]) ).
fof(f3022,plain,
! [X2,X0,X1] : ld(ld(mult(X0,X1),mult(X0,mult(X1,X2))),unit) = ld(mult(X0,X1),mult(X0,mult(X1,ld(mult(X2,X2),X2)))),
inference(backward_demodulation,[],[f1223,f2959]) ).
fof(f3078,plain,
! [X2,X0,X1] : ld(ld(mult(X0,X1),mult(X0,mult(X1,X2))),unit) = ld(mult(X0,X1),mult(X0,mult(X1,ld(X2,unit)))),
inference(forward_demodulation,[],[f3022,f393]) ).
fof(f3433,plain,
! [X2,X0,X1] : mult(ld(mult(X0,X1),mult(X0,mult(X1,X1))),X2) = ld(mult(X0,X1),mult(X0,mult(X1,ld(X0,mult(mult(X0,X1),X2))))),
inference(superposition,[],[f1131,f3]) ).
fof(f4789,plain,
! [X0,X1] : mult(ld(X1,unit),X0) = mult(X1,mult(ld(X1,X0),ld(X1,unit))),
inference(superposition,[],[f2350,f3]) ).
fof(f5297,plain,
! [X2,X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,ld(X0,X2)))) = ld(X0,ld(mult(X0,X1),mult(X0,mult(X1,X2)))),
inference(superposition,[],[f2959,f875]) ).
fof(f5324,plain,
! [X2,X3,X0,X1] : ld(mult(X1,X2),mult(X1,mult(X2,ld(X3,ld(X2,X0))))) = ld(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),mult(X1,X0))),
inference(superposition,[],[f2959,f3]) ).
fof(f5444,plain,
! [X2,X0,X1] : mult(ld(mult(X0,X1),mult(X0,mult(X1,X1))),X2) = ld(X0,ld(mult(X0,X1),mult(X0,mult(X1,mult(mult(X0,X1),X2))))),
inference(backward_demodulation,[],[f3433,f5297]) ).
fof(f7184,plain,
! [X2,X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,mult(mult(X0,X1),X2)))) = mult(X0,mult(ld(mult(X0,X1),mult(X0,mult(X1,X1))),X2)),
inference(superposition,[],[f3,f5444]) ).
fof(f7377,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),mult(X0,X2)))) = mult(X1,mult(ld(X0,mult(X1,mult(ld(X1,X0),ld(X1,X0)))),X2)),
inference(superposition,[],[f7184,f3]) ).
fof(f8894,plain,
! [X0,X1] : mult(ld(X1,mult(X0,unit)),ld(X1,mult(X0,unit))) = ld(X1,mult(X0,mult(ld(X0,X1),ld(ld(X0,X1),ld(ld(X0,X1),unit))))),
inference(superposition,[],[f2035,f438]) ).
fof(f8986,plain,
! [X0,X1] : mult(ld(X1,mult(X0,unit)),ld(X1,mult(X0,unit))) = ld(X1,mult(X0,ld(ld(X0,X1),unit))),
inference(forward_demodulation,[],[f8894,f3]) ).
fof(f9046,plain,
! [X0,X1] : mult(ld(X1,X0),ld(X1,X0)) = ld(X1,mult(X0,ld(ld(X0,X1),unit))),
inference(forward_demodulation,[],[f8986,f1]) ).
fof(f9217,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),ld(X0,X1))) = mult(X1,ld(ld(X1,X0),unit)),
inference(superposition,[],[f3,f9046]) ).
fof(f9268,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),mult(X0,X2)))) = mult(X1,mult(ld(X0,mult(X0,ld(ld(X0,X1),unit))),X2)),
inference(backward_demodulation,[],[f7377,f9217]) ).
fof(f9314,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),mult(X0,X2)))) = mult(X1,mult(ld(ld(X0,X1),unit),X2)),
inference(forward_demodulation,[],[f9268,f4]) ).
fof(f9379,plain,
! [X0,X1] : mult(ld(X0,X1),mult(X0,X0)) = mult(X1,ld(ld(X1,ld(X0,X1)),unit)),
inference(superposition,[],[f9217,f18]) ).
fof(f9413,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),mult(ld(X1,X0),ld(ld(X1,X0),X2))))) = mult(ld(X0,mult(X0,ld(ld(X0,X1),unit))),ld(X0,mult(X1,X2))),
inference(superposition,[],[f139,f9217]) ).
fof(f9502,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),mult(ld(X1,X0),ld(ld(X1,X0),X2))))) = mult(ld(ld(X0,X1),unit),ld(X0,mult(X1,X2))),
inference(forward_demodulation,[],[f9413,f4]) ).
fof(f9570,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),X2))) = mult(ld(ld(X0,X1),unit),ld(X0,mult(X1,X2))),
inference(forward_demodulation,[],[f9502,f3]) ).
fof(f11097,plain,
! [X2,X0,X1] : mult(ld(ld(X1,X2),unit),ld(X1,X0)) = ld(X1,mult(X2,mult(ld(X2,X1),ld(X2,X0)))),
inference(superposition,[],[f9570,f3]) ).
fof(f12257,plain,
! [X2,X0,X1] : ld(mult(X1,ld(X1,X0)),mult(X1,mult(ld(X1,X0),ld(ld(X1,X0),ld(ld(X1,X0),X2))))) = ld(ld(mult(X1,ld(X1,X0)),mult(X0,ld(ld(X0,X1),unit))),ld(mult(X1,ld(X1,X0)),mult(X1,X2))),
inference(superposition,[],[f5324,f9217]) ).
fof(f12289,plain,
! [X2,X3,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),ld(X2,ld(ld(X1,X0),X3))))) = ld(ld(X0,mult(X1,mult(ld(X1,X0),X2))),ld(X0,mult(X1,X3))),
inference(superposition,[],[f5324,f3]) ).
fof(f12500,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),ld(ld(X1,X0),ld(ld(X1,X0),X2))))) = ld(ld(X0,mult(X0,ld(ld(X0,X1),unit))),ld(X0,mult(X1,X2))),
inference(forward_demodulation,[],[f12257,f3]) ).
fof(f12582,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),ld(ld(X1,X0),ld(ld(X1,X0),X2))))) = ld(ld(ld(X0,X1),unit),ld(X0,mult(X1,X2))),
inference(forward_demodulation,[],[f12500,f4]) ).
fof(f12639,plain,
! [X2,X0,X1] : ld(ld(ld(X0,X1),unit),ld(X0,mult(X1,X2))) = ld(X0,mult(X1,ld(ld(X1,X0),X2))),
inference(forward_demodulation,[],[f12582,f3]) ).
fof(f12854,plain,
! [X0,X1] : ld(ld(ld(X1,X0),unit),X0) = ld(X1,mult(X0,ld(ld(X0,X1),X1))),
inference(superposition,[],[f12639,f12]) ).
fof(f12947,plain,
! [X0,X1] : ld(X1,mult(X0,X0)) = ld(ld(ld(X1,X0),unit),X0),
inference(forward_demodulation,[],[f12854,f18]) ).
fof(f13100,plain,
! [X0,X1] : ld(ld(X0,X1),unit) = ld(ld(X0,mult(X1,X1)),X1),
inference(superposition,[],[f18,f12947]) ).
fof(f22008,plain,
! [X0,X1] : sP0(ld(mult(ld(mult(X1,X1),X0),mult(X1,X1)),mult(X0,ld(ld(X0,ld(mult(X1,X1),X0)),unit)))),
inference(superposition,[],[f159,f9379]) ).
fof(f22177,plain,
! [X0,X1] : sP0(ld(mult(mult(X1,X1),ld(mult(X1,X1),X0)),mult(X0,ld(ld(X0,ld(mult(X1,X1),X0)),unit)))),
inference(forward_demodulation,[],[f22008,f5]) ).
fof(f22260,plain,
! [X0,X1] : sP0(ld(X0,mult(X0,ld(ld(X0,ld(mult(X1,X1),X0)),unit)))),
inference(forward_demodulation,[],[f22177,f3]) ).
fof(f22330,plain,
! [X0,X1] : sP0(ld(ld(X0,ld(mult(X1,X1),X0)),unit)),
inference(forward_demodulation,[],[f22260,f4]) ).
fof(f22535,plain,
! [X0,X1] : sP0(ld(ld(mult(mult(X1,X1),X0),X0),unit)),
inference(superposition,[],[f22330,f4]) ).
fof(f28955,plain,
! [X0,X1] : ld(X1,mult(ld(X0,unit),X1)) = mult(ld(ld(X1,X0),unit),ld(X1,unit)),
inference(superposition,[],[f11097,f4789]) ).
fof(f29097,plain,
! [X0,X1] : ld(X1,mult(ld(X0,unit),X1)) = mult(ld(X1,unit),ld(ld(X1,X0),unit)),
inference(forward_demodulation,[],[f28955,f5]) ).
fof(f29195,plain,
! [X0,X1] : ld(X0,unit) = mult(ld(X1,unit),ld(ld(X1,X0),unit)),
inference(forward_demodulation,[],[f29097,f12]) ).
fof(f30447,plain,
! [X0,X1] : ld(X1,unit) = mult(X0,ld(ld(ld(X0,unit),X1),unit)),
inference(superposition,[],[f29195,f18]) ).
fof(f30461,plain,
! [X0,X1] : ld(mult(X1,X0),unit) = mult(ld(X1,unit),ld(X0,unit)),
inference(superposition,[],[f29195,f4]) ).
fof(f30462,plain,
! [X0,X1] : ld(mult(X0,X1),unit) = mult(ld(X1,unit),ld(X0,unit)),
inference(superposition,[],[f29195,f12]) ).
fof(f30518,plain,
! [X0,X1] : ld(ld(X1,X0),unit) = ld(ld(X1,unit),ld(X0,unit)),
inference(superposition,[],[f4,f29195]) ).
fof(f31611,plain,
! [X0,X1] : mult(X1,ld(X0,unit)) = ld(mult(ld(X1,unit),X0),unit),
inference(superposition,[],[f30447,f4]) ).
fof(f31612,plain,
! [X0,X1] : mult(X1,ld(X0,unit)) = ld(mult(X0,ld(X1,unit)),unit),
inference(superposition,[],[f30447,f12]) ).
fof(f31636,plain,
! [X0,X1] : ld(X1,ld(X0,unit)) = ld(ld(ld(X1,unit),X0),unit),
inference(superposition,[],[f4,f30447]) ).
fof(f31694,plain,
! [X0,X1] : sP0(ld(ld(ld(X0,unit),ld(ld(ld(mult(X1,X1),unit),X0),unit)),unit)),
inference(superposition,[],[f22535,f30447]) ).
fof(f31720,plain,
! [X0,X1] : sP0(ld(ld(ld(X0,ld(ld(mult(X1,X1),unit),X0)),unit),unit)),
inference(forward_demodulation,[],[f31694,f30518]) ).
fof(f32006,plain,
! [X0,X1] : sP0(ld(X0,ld(ld(mult(X1,X1),unit),X0))),
inference(forward_demodulation,[],[f31720,f18]) ).
fof(f32086,plain,
! [X0,X1] : sP0(ld(X0,ld(ld(X1,ld(X1,unit)),X0))),
inference(forward_demodulation,[],[f32006,f407]) ).
fof(f32203,plain,
! [X0,X1] : sP0(ld(X1,ld(ld(ld(X0,unit),X0),X1))),
inference(superposition,[],[f32086,f18]) ).
fof(f32246,plain,
! [X0,X1] : sP0(ld(X1,ld(mult(X0,X0),X1))),
inference(forward_demodulation,[],[f32203,f432]) ).
fof(f32315,plain,
! [X0,X1] : sP0(ld(mult(mult(X1,X1),X0),X0)),
inference(superposition,[],[f32246,f4]) ).
fof(f32392,plain,
! [X2,X3,X0,X1] : sP0(ld(mult(ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,ld(X1,ld(X0,mult(X0,mult(X1,X2)))))))),X3),X3)),
inference(superposition,[],[f32315,f145]) ).
fof(f32446,plain,
! [X2,X3,X0,X1] : sP0(ld(mult(ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,ld(X1,mult(X1,X2)))))),X3),X3)),
inference(forward_demodulation,[],[f32392,f4]) ).
fof(f32455,plain,
! [X2,X3,X0,X1] : sP0(ld(mult(ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,X2)))),X3),X3)),
inference(forward_demodulation,[],[f32446,f4]) ).
fof(f33130,plain,
! [X2,X3,X0,X1] : sP0(ld(ld(mult(X0,X1),mult(X0,mult(ld(X0,mult(X0,X1)),mult(ld(ld(X0,mult(X0,X1)),mult(X1,mult(X2,X2))),X3)))),ld(mult(X0,X1),mult(X0,mult(ld(X0,mult(X0,X1)),X3))))),
inference(superposition,[],[f32455,f239]) ).
fof(f33172,plain,
! [X2,X3,X0,X1] : sP0(ld(mult(X0,X1),mult(X0,mult(ld(X0,mult(X0,X1)),ld(mult(ld(ld(X0,mult(X0,X1)),mult(X1,mult(X2,X2))),X3),ld(ld(X0,mult(X0,X1)),mult(ld(X0,mult(X0,X1)),X3))))))),
inference(forward_demodulation,[],[f33130,f12289]) ).
fof(f33226,plain,
! [X2,X3,X0,X1] : sP0(ld(mult(X0,X1),mult(X0,mult(ld(X0,mult(X0,X1)),ld(mult(ld(ld(X0,mult(X0,X1)),mult(X1,mult(X2,X2))),X3),X3))))),
inference(forward_demodulation,[],[f33172,f4]) ).
fof(f33258,plain,
! [X2,X3,X0,X1] : sP0(ld(mult(X0,X1),mult(X0,mult(X1,ld(mult(ld(X1,mult(X1,mult(X2,X2))),X3),X3))))),
inference(forward_demodulation,[],[f33226,f4]) ).
fof(f33276,plain,
! [X2,X3,X0,X1] : sP0(ld(mult(X0,X1),mult(X0,mult(X1,ld(mult(mult(X2,X2),X3),X3))))),
inference(forward_demodulation,[],[f33258,f4]) ).
fof(f33410,plain,
! [X2,X0,X1] : sP0(ld(mult(X1,mult(mult(X2,X2),X0)),mult(X1,X0))),
inference(superposition,[],[f33276,f3]) ).
fof(f33622,plain,
! [X2,X0,X1] : sP0(ld(mult(X1,mult(mult(X2,X2),ld(X1,X0))),X0)),
inference(superposition,[],[f33410,f3]) ).
fof(f34084,plain,
! [X0,X1] : sP0(mult(X0,ld(mult(mult(X1,X1),ld(ld(X0,unit),unit)),unit))),
inference(superposition,[],[f33622,f31611]) ).
fof(f34085,plain,
! [X0,X1] : sP0(mult(X0,mult(ld(X0,unit),ld(mult(X1,X1),unit)))),
inference(forward_demodulation,[],[f34084,f31612]) ).
fof(f34108,plain,
! [X0,X1] : sP0(mult(X0,ld(mult(mult(X1,X1),X0),unit))),
inference(forward_demodulation,[],[f34085,f30462]) ).
fof(f34138,plain,
! [X2,X3,X0,X1] : sP0(mult(X3,ld(mult(ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,ld(X1,ld(X0,mult(X0,mult(X1,X2)))))))),X3),unit))),
inference(superposition,[],[f34108,f145]) ).
fof(f34195,plain,
! [X2,X3,X0,X1] : sP0(mult(X3,ld(mult(ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,ld(X1,mult(X1,X2)))))),X3),unit))),
inference(forward_demodulation,[],[f34138,f4]) ).
fof(f34210,plain,
! [X2,X3,X0,X1] : sP0(mult(X3,ld(mult(ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,X2)))),X3),unit))),
inference(forward_demodulation,[],[f34195,f4]) ).
fof(f43612,plain,
! [X0,X1] : mult(ld(X1,unit),ld(ld(ld(X1,unit),unit),ld(X0,unit))) = ld(ld(ld(X1,unit),unit),ld(mult(X0,X1),unit)),
inference(superposition,[],[f2599,f30461]) ).
fof(f43677,plain,
! [X0,X1] : mult(ld(X1,unit),ld(ld(ld(X1,unit),unit),ld(X0,unit))) = ld(ld(ld(X1,unit),mult(X0,X1)),unit),
inference(forward_demodulation,[],[f43612,f30518]) ).
fof(f43863,plain,
! [X0,X1] : mult(ld(X1,unit),ld(ld(ld(X1,unit),unit),ld(X0,unit))) = ld(X1,ld(mult(X0,X1),unit)),
inference(forward_demodulation,[],[f43677,f31636]) ).
fof(f43928,plain,
! [X0,X1] : mult(ld(X1,unit),ld(ld(ld(X1,unit),X0),unit)) = ld(X1,ld(mult(X0,X1),unit)),
inference(forward_demodulation,[],[f43863,f30518]) ).
fof(f43973,plain,
! [X0,X1] : ld(mult(ld(ld(X1,unit),X0),X1),unit) = ld(X1,ld(mult(X0,X1),unit)),
inference(forward_demodulation,[],[f43928,f30462]) ).
fof(f44008,plain,
! [X0,X1] : ld(mult(X1,ld(ld(X1,unit),X0)),unit) = ld(X1,ld(mult(X0,X1),unit)),
inference(forward_demodulation,[],[f43973,f5]) ).
fof(f45306,plain,
! [X2,X3,X0,X1] : sP0(mult(ld(mult(X0,X1),mult(X0,mult(X1,X3))),ld(ld(mult(X0,X1),mult(X0,mult(X1,mult(ld(X1,ld(X0,mult(X0,mult(X1,mult(X2,X2))))),X3)))),unit))),
inference(superposition,[],[f34210,f231]) ).
fof(f45358,plain,
! [X2,X3,X0,X1] : sP0(mult(ld(mult(X0,X1),mult(X0,mult(X1,X3))),ld(mult(X0,X1),mult(X0,mult(X1,ld(mult(ld(X1,ld(X0,mult(X0,mult(X1,mult(X2,X2))))),X3),unit)))))),
inference(forward_demodulation,[],[f45306,f3078]) ).
fof(f45412,plain,
! [X2,X3,X0,X1] : sP0(ld(mult(X0,X1),mult(X0,mult(X1,mult(X3,ld(X1,ld(X0,mult(X0,mult(X1,ld(mult(ld(X1,ld(X0,mult(X0,mult(X1,mult(X2,X2))))),X3),unit)))))))))),
inference(forward_demodulation,[],[f45358,f145]) ).
fof(f45448,plain,
! [X2,X3,X0,X1] : sP0(ld(mult(X0,X1),mult(X0,mult(X1,mult(X3,ld(X1,mult(X1,ld(mult(ld(X1,ld(X0,mult(X0,mult(X1,mult(X2,X2))))),X3),unit)))))))),
inference(forward_demodulation,[],[f45412,f4]) ).
fof(f45466,plain,
! [X2,X3,X0,X1] : sP0(ld(mult(X0,X1),mult(X0,mult(X1,mult(X3,ld(mult(ld(X1,ld(X0,mult(X0,mult(X1,mult(X2,X2))))),X3),unit)))))),
inference(forward_demodulation,[],[f45448,f4]) ).
fof(f45479,plain,
! [X2,X3,X0,X1] : sP0(ld(mult(X0,X1),mult(X0,mult(X1,mult(X3,ld(mult(ld(X1,mult(X1,mult(X2,X2))),X3),unit)))))),
inference(forward_demodulation,[],[f45466,f4]) ).
fof(f45486,plain,
! [X2,X3,X0,X1] : sP0(ld(mult(X0,X1),mult(X0,mult(X1,mult(X3,ld(mult(mult(X2,X2),X3),unit)))))),
inference(forward_demodulation,[],[f45479,f4]) ).
fof(f45522,plain,
! [X2,X3,X0,X1] : sP0(ld(X0,mult(X1,mult(ld(X1,X0),mult(X2,ld(mult(mult(X3,X3),X2),unit)))))),
inference(superposition,[],[f45486,f3]) ).
fof(f46444,plain,
! [X2,X0,X1] : sP0(mult(X0,mult(ld(ld(X1,X0),unit),ld(mult(mult(X2,X2),X1),unit)))),
inference(superposition,[],[f45522,f9314]) ).
fof(f46460,plain,
! [X2,X0,X1] : sP0(mult(X0,ld(mult(mult(mult(X2,X2),X1),ld(X1,X0)),unit))),
inference(forward_demodulation,[],[f46444,f30462]) ).
fof(f46937,plain,
! [X2,X0,X1] : sP0(mult(X1,ld(mult(X0,ld(ld(mult(X2,X2),X0),X1)),unit))),
inference(superposition,[],[f46460,f3]) ).
fof(f47119,plain,
! [X0,X1] : sP0(mult(X1,ld(mult(X0,ld(ld(X0,unit),X1)),unit))),
inference(superposition,[],[f46937,f393]) ).
fof(f47215,plain,
! [X0,X1] : sP0(mult(X1,ld(X0,ld(mult(X1,X0),unit)))),
inference(forward_demodulation,[],[f47119,f44008]) ).
fof(f51063,plain,
! [X0,X1] : sP0(mult(X1,ld(ld(X1,X0),ld(X0,unit)))),
inference(superposition,[],[f47215,f3]) ).
fof(f51181,plain,
! [X0,X1] : sP0(mult(ld(X0,mult(X1,X1)),ld(ld(ld(X0,X1),unit),ld(X1,unit)))),
inference(superposition,[],[f51063,f13100]) ).
fof(f51277,plain,
! [X0,X1] : sP0(mult(ld(X0,mult(X1,X1)),ld(ld(ld(X0,X1),X1),unit))),
inference(forward_demodulation,[],[f51181,f30518]) ).
fof(f51295,plain,
! [X0,X1] : sP0(mult(ld(X0,mult(X1,X1)),ld(X0,unit))),
inference(forward_demodulation,[],[f51277,f18]) ).
fof(f51304,plain,
! [X0,X1] : sP0(mult(ld(X0,unit),ld(X0,mult(X1,X1)))),
inference(forward_demodulation,[],[f51295,f5]) ).
fof(f51372,plain,
! [X0,X1] : sP0(mult(ld(ld(X0,mult(X1,X1)),unit),X0)),
inference(superposition,[],[f51304,f18]) ).
fof(f51383,plain,
! [X0,X1] : sP0(mult(X0,ld(ld(X0,mult(X1,X1)),unit))),
inference(forward_demodulation,[],[f51372,f5]) ).
fof(f51559,plain,
! [X0,X1] : sP0(ld(mult(X0,ld(ld(X0,unit),mult(X1,X1))),unit)),
inference(superposition,[],[f51383,f30461]) ).
fof(f51560,plain,
! [X0,X1] : sP0(ld(X0,ld(mult(mult(X1,X1),X0),unit))),
inference(forward_demodulation,[],[f51559,f44008]) ).
fof(f51723,plain,
! [X0,X1] : sP0(ld(ld(mult(X1,X1),X0),ld(X0,unit))),
inference(superposition,[],[f51560,f3]) ).
fof(f52030,plain,
! [X0,X1] : sP0(ld(ld(mult(X1,X1),ld(X0,unit)),X0)),
inference(superposition,[],[f51723,f18]) ).
fof(f52116,plain,
! [X2,X3,X0,X1] : sP0(ld(ld(ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,ld(X1,ld(X0,mult(X0,mult(X1,X2)))))))),ld(X3,unit)),X3)),
inference(superposition,[],[f52030,f145]) ).
fof(f52155,plain,
! [X2,X3,X0,X1] : sP0(ld(ld(ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,ld(X1,mult(X1,X2)))))),ld(X3,unit)),X3)),
inference(forward_demodulation,[],[f52116,f4]) ).
fof(f52170,plain,
! [X2,X3,X0,X1] : sP0(ld(ld(ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,X2)))),ld(X3,unit)),X3)),
inference(forward_demodulation,[],[f52155,f4]) ).
fof(f52391,plain,
! [X2,X0,X1] : sP0(ld(ld(ld(mult(ld(mult(X1,X1),X0),mult(X1,X1)),mult(X0,ld(ld(X0,ld(mult(X1,X1),X0)),unit))),ld(X2,unit)),X2)),
inference(superposition,[],[f52170,f9379]) ).
fof(f52437,plain,
! [X2,X0,X1] : sP0(ld(ld(ld(mult(mult(X1,X1),ld(mult(X1,X1),X0)),mult(X0,ld(ld(X0,ld(mult(X1,X1),X0)),unit))),ld(X2,unit)),X2)),
inference(forward_demodulation,[],[f52391,f5]) ).
fof(f52477,plain,
! [X2,X0,X1] : sP0(ld(ld(ld(X0,mult(X0,ld(ld(X0,ld(mult(X1,X1),X0)),unit))),ld(X2,unit)),X2)),
inference(forward_demodulation,[],[f52437,f3]) ).
fof(f52502,plain,
! [X2,X0,X1] : sP0(ld(ld(ld(ld(X0,ld(mult(X1,X1),X0)),unit),ld(X2,unit)),X2)),
inference(forward_demodulation,[],[f52477,f4]) ).
fof(f52512,plain,
! [X2,X0,X1] : sP0(ld(ld(ld(ld(X0,ld(mult(X1,X1),X0)),X2),unit),X2)),
inference(forward_demodulation,[],[f52502,f30518]) ).
fof(f52516,plain,
! [X2,X0,X1] : sP0(ld(ld(X0,ld(mult(X1,X1),X0)),mult(X2,X2))),
inference(forward_demodulation,[],[f52512,f12947]) ).
fof(f52554,plain,
! [X2,X0,X1] : sP0(ld(ld(mult(mult(X1,X1),X0),X0),mult(X2,X2))),
inference(superposition,[],[f52516,f4]) ).
fof(f52774,plain,
! [X0,X1] : sP0(mult(mult(X0,X0),mult(X1,X1))),
inference(superposition,[],[f52554,f18]) ).
fof(f52844,plain,
$false,
inference(resolution,[],[f52774,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP720-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 % Computer : n001.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sun Sep 27 10:43:30 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.48 Running first-order theorem proving
% 0.16/0.48 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
% 15.22/3.15 % (3373373)Detected a unit-equality problem, will run specialized UEQ schedule.
% 15.22/3.15 % (3373381)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3095068586:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 15.22/3.15 % (3373378)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=1180667821:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 15.22/3.15 % (3373384)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1609071841:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 15.22/3.15 % (3373380)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3649241875:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 15.22/3.15 % (3373382)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2164885510:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 15.22/3.15 % (3373379)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=1542123907:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 15.22/3.15 % (3373383)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=798727727:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 15.22/3.15 % (3373384)Refutation not found, incomplete strategy
% 15.22/3.15 % (3373384)------------------------------
% 15.22/3.15 % (3373384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.15 % (3373384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.15 % (3373384)CaDiCaL version: 2.1.3
% 15.22/3.15 % (3373384)Termination reason: Refutation not found, incomplete strategy
% 15.22/3.15 % (3373384)Time elapsed: 0.001 s
% 15.22/3.15 % (3373384)Peak memory usage: 86 MB
% 15.22/3.15 % (3373381)Instruction limit reached!
% 15.22/3.15 % (3373381)------------------------------
% 15.22/3.15 % (3373381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.15 % (3373381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.15 % (3373381)CaDiCaL version: 2.1.3
% 15.22/3.15 % (3373381)Termination reason: Instruction limit
% 15.22/3.15 % (3373381)Termination phase: Saturation
% 15.22/3.15 % (3373381)Time elapsed: 0.077 s
% 15.22/3.15 % (3373381)Peak memory usage: 89 MB
% 15.22/3.15 % (3373381)Instructions burned: 136 (million)
% 15.22/3.15 % (3373382)Instruction limit reached!
% 15.22/3.15 % (3373382)------------------------------
% 15.22/3.15 % (3373382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.15 % (3373382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.15 % (3373382)CaDiCaL version: 2.1.3
% 15.22/3.15 % (3373382)Termination reason: Instruction limit
% 15.22/3.15 % (3373382)Termination phase: Saturation
% 15.22/3.15 % (3373382)Time elapsed: 0.164 s
% 15.22/3.15 % (3373382)Peak memory usage: 89 MB
% 15.22/3.15 % (3373382)Instructions burned: 181 (million)
% 15.22/3.15 % (3373383)Instruction limit reached!
% 15.22/3.15 % (3373383)------------------------------
% 15.22/3.15 % (3373383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.15 % (3373383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.15 % (3373383)CaDiCaL version: 2.1.3
% 15.22/3.15 % (3373383)Termination reason: Instruction limit
% 15.22/3.15 % (3373383)Termination phase: Saturation
% 15.22/3.15 % (3373383)Time elapsed: 0.244 s
% 15.22/3.15 % (3373383)Peak memory usage: 90 MB
% 15.22/3.15 % (3373383)Instructions burned: 258 (million)
% 15.22/3.15 % (3373392)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2065010867:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 15.22/3.15 % (3373384)------------------------------
% 15.22/3.15 % (3373384)------------------------------
% 15.22/3.15 % (3373393)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2092463990:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 15.22/3.15 % (3373394)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=301158321:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 16.19/3.27 % (3373394)Refutation not found, incomplete strategy
% 16.19/3.27 % (3373394)------------------------------
% 16.19/3.27 % (3373394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.19/3.27 % (3373394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.19/3.27 % (3373394)CaDiCaL version: 2.1.3
% 16.19/3.27 % (3373394)Termination reason: Refutation not found, incomplete strategy
% 16.19/3.27 % (3373394)Time elapsed: 0.002 s
% 16.19/3.27 % (3373394)Peak memory usage: 87 MB
% 16.19/3.27 % (3373396)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=1814450707:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 16.19/3.27 % (3373394)------------------------------
% 16.19/3.27 % (3373394)------------------------------
% 16.19/3.27 % (3373396)Instruction limit reached!
% 16.19/3.27 % (3373396)------------------------------
% 16.19/3.27 % (3373396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.19/3.27 % (3373396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.19/3.27 % (3373396)CaDiCaL version: 2.1.3
% 16.19/3.27 % (3373396)Termination reason: Instruction limit
% 16.19/3.27 % (3373396)Termination phase: Saturation
% 16.19/3.27 % (3373396)Time elapsed: 0.273 s
% 16.19/3.27 % (3373396)Peak memory usage: 89 MB
% 16.19/3.27 % (3373396)Instructions burned: 317 (million)
% 16.19/3.27 [W927 10:43:32.380863672 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 16.19/3.27 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 16.19/3.27 [W927 10:43:32.380924499 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 16.19/3.27 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 16.19/3.27 [W927 10:43:32.380980899 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 16.19/3.27 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 16.19/3.27 [W927 10:43:32.381012566 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 16.19/3.27 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 16.19/3.27 [W927 10:43:32.381059783 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 16.19/3.27 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 16.19/3.27 [W927 10:43:32.381078523 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 16.19/3.27 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 16.19/3.27 [W927 10:43:32.381122597 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 16.19/3.27 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 16.19/3.27 [W927 10:43:32.381140931 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 16.19/3.27 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 16.19/3.27 [W927 10:43:32.381183638 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 22.29/4.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.29/4.13 [W927 10:43:32.381202664 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 22.29/4.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.29/4.13 [W927 10:43:32.381245318 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 22.29/4.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.29/4.13 [W927 10:43:32.381276078 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 22.29/4.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.29/4.13 % (3373400)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=3893609189:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 22.29/4.13 % (3373401)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2499692934:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2987 on theBenchmark for (2987ds/2836Mi)
% 22.29/4.13 % (3373393)Refutation not found, incomplete strategy
% 22.29/4.13 % (3373393)------------------------------
% 22.29/4.13 % (3373393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.29/4.13 % (3373393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.29/4.13 % (3373393)CaDiCaL version: 2.1.3
% 22.29/4.13 % (3373393)Termination reason: Refutation not found, incomplete strategy
% 22.29/4.13 % (3373393)Time elapsed: 0.880 s
% 22.29/4.13 % (3373393)Peak memory usage: 125 MB
% 22.29/4.13 % (3373393)Instructions burned: 825 (million)
% 22.29/4.13 % (3373392)Instruction limit reached!
% 22.29/4.13 % (3373392)------------------------------
% 22.29/4.13 % (3373392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.29/4.13 % (3373392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.29/4.13 % (3373392)CaDiCaL version: 2.1.3
% 22.29/4.13 % (3373392)Termination reason: Instruction limit
% 22.29/4.13 % (3373392)Termination phase: Saturation
% 22.29/4.13 % (3373392)Time elapsed: 1.143 s
% 22.29/4.13 % (3373392)Peak memory usage: 140 MB
% 22.29/4.13 % (3373392)Instructions burned: 2052 (million)
% 22.29/4.13 % (3373404)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1648078227:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2982 on theBenchmark for (2982ds/14534Mi)
% 22.29/4.13 % (3373393)------------------------------
% 22.29/4.13 % (3373393)------------------------------
% 22.29/4.13 [W927 10:43:33.171728800 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 22.29/4.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.29/4.13 [W927 10:43:33.171776903 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 22.29/4.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.29/4.13 [W927 10:43:33.171834804 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 22.29/4.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.29/4.13 [W927 10:43:33.171855257 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 22.29/4.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 101.73/15.24 [W927 10:43:33.171898121 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 101.73/15.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 101.73/15.24 [W927 10:43:33.171914051 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 101.73/15.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 101.73/15.24 [W927 10:43:33.172046272 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 101.73/15.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 101.73/15.24 [W927 10:43:33.172072572 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 101.73/15.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 101.73/15.24 [W927 10:43:33.172114326 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 101.73/15.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 101.73/15.24 [W927 10:43:33.172131419 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 101.73/15.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 101.73/15.24 [W927 10:43:33.172172049 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 101.73/15.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 101.73/15.24 [W927 10:43:33.172188693 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 101.73/15.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 101.73/15.24 [W927 10:43:33.291779251 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 101.73/15.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 101.73/15.24 [W927 10:43:33.291824983 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 101.73/15.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 101.73/15.24 [W927 10:43:33.291856582 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 101.73/15.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 101.73/15.24 [W927 10:43:33.291865482 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 101.73/15.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 101.73/15.24 [W927 10:43:33.291886580 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 101.73/15.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 102.42/15.39 [W927 10:43:33.291894871 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 102.42/15.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 102.42/15.39 [W927 10:43:33.291915441 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 102.42/15.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 102.42/15.39 [W927 10:43:33.291923314 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 102.42/15.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 102.42/15.39 [W927 10:43:33.291943582 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 102.42/15.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 102.42/15.39 [W927 10:43:33.291952544 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 102.42/15.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 102.42/15.39 [W927 10:43:33.291972355 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 102.42/15.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 102.42/15.39 [W927 10:43:33.291980141 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 102.42/15.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 102.42/15.39 % (3373406)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=1128095109:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2979 on theBenchmark for (2979ds/11832Mi)
% 102.42/15.39 % (3373400)Refutation not found, incomplete strategy
% 102.42/15.39 % (3373400)------------------------------
% 102.42/15.39 % (3373400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.42/15.39 % (3373400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.42/15.39 % (3373400)CaDiCaL version: 2.1.3
% 102.42/15.39 % (3373400)Termination reason: Refutation not found, incomplete strategy
% 102.42/15.39 % (3373400)Time elapsed: 0.880 s
% 102.42/15.39 % (3373400)Peak memory usage: 125 MB
% 102.42/15.39 % (3373400)Instructions burned: 821 (million)
% 102.42/15.39 % (3373404)Refutation not found, incomplete strategy
% 102.42/15.39 % (3373404)------------------------------
% 102.42/15.39 % (3373404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.42/15.39 % (3373404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.42/15.39 % (3373404)CaDiCaL version: 2.1.3
% 102.42/15.39 % (3373404)Termination reason: Refutation not found, incomplete strategy
% 102.42/15.39 % (3373404)Time elapsed: 0.463 s
% 102.42/15.39 % (3373404)Peak memory usage: 125 MB
% 102.42/15.39 % (3373404)Instructions burned: 825 (million)
% 102.42/15.39 % (3373404)------------------------------
% 102.42/15.39 % (3373404)------------------------------
% 102.42/15.39 % (3373400)------------------------------
% 102.42/15.39 % (3373400)------------------------------
% 102.42/15.39 % (3373408)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=1510134453:i=2279:fgj=on:bd=all_2973 on theBenchmark for (2973ds/2279Mi)
% 102.42/15.39 % (3373409)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=3640589331:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2971 on theBenchmark for (2971ds/6225Mi)
% 127.92/18.95 % (3373408)Instruction limit reached!
% 127.92/18.95 % (3373408)------------------------------
% 127.92/18.95 % (3373408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.92/18.95 % (3373408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.92/18.95 % (3373408)CaDiCaL version: 2.1.3
% 127.92/18.95 % (3373408)Termination reason: Instruction limit
% 127.92/18.95 % (3373408)Termination phase: Saturation
% 127.92/18.95 % (3373408)Time elapsed: 1.199 s
% 127.92/18.95 % (3373408)Peak memory usage: 138 MB
% 127.92/18.95 % (3373408)Instructions burned: 2279 (million)
% 127.92/18.95 % (3373414)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=3510743106:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2958 on theBenchmark for (2958ds/21755Mi)
% 127.92/18.95 % (3373401)Instruction limit reached!
% 127.92/18.95 % (3373401)------------------------------
% 127.92/18.95 % (3373401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.92/18.95 % (3373401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.92/18.95 % (3373401)CaDiCaL version: 2.1.3
% 127.92/18.95 % (3373401)Termination reason: Instruction limit
% 127.92/18.95 % (3373401)Termination phase: Saturation
% 127.92/18.95 % (3373401)Time elapsed: 2.952 s
% 127.92/18.95 % (3373401)Peak memory usage: 122 MB
% 127.92/18.95 % (3373401)Instructions burned: 2836 (million)
% 127.92/18.95 % (3373416)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=3737430893:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2954 on theBenchmark for (2954ds/16427Mi)
% 127.92/18.95 % (3373409)Instruction limit reached!
% 127.92/18.95 % (3373409)------------------------------
% 127.92/18.95 % (3373409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.92/18.95 % (3373409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.92/18.95 % (3373409)CaDiCaL version: 2.1.3
% 127.92/18.95 % (3373409)Termination reason: Instruction limit
% 127.92/18.95 % (3373409)Termination phase: Saturation
% 127.92/18.95 % (3373409)Time elapsed: 6.156 s
% 127.92/18.95 % (3373409)Peak memory usage: 165 MB
% 127.92/18.95 % (3373409)Instructions burned: 6226 (million)
% 127.92/18.95 % (3373418)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=3882453519:i=9356:fgj=on:bd=preordered:av=off_2906 on theBenchmark for (2906ds/9356Mi)
% 127.92/18.95 % (3373414)Instruction limit reached!
% 127.92/18.95 % (3373414)------------------------------
% 127.92/18.95 % (3373414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.92/18.95 % (3373414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.92/18.95 % (3373414)CaDiCaL version: 2.1.3
% 127.92/18.95 % (3373414)Termination reason: Instruction limit
% 127.92/18.95 % (3373414)Termination phase: Saturation
% 127.92/18.95 % (3373414)Time elapsed: 9.091 s
% 127.92/18.95 % (3373414)Peak memory usage: 223 MB
% 127.92/18.95 % (3373414)Instructions burned: 21758 (million)
% 127.92/18.95 % (3373578)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=4037663235:i=2070:kws=inv_precedence:slsql=off:bd=all_2864 on theBenchmark for (2864ds/2070Mi)
% 127.92/18.95 % (3373406)Instruction limit reached!
% 127.92/18.95 % (3373406)------------------------------
% 127.92/18.95 % (3373406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.92/18.95 % (3373406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.92/18.95 % (3373406)CaDiCaL version: 2.1.3
% 127.92/18.95 % (3373406)Termination reason: Instruction limit
% 127.92/18.95 % (3373406)Termination phase: Saturation
% 127.92/18.95 % (3373406)Time elapsed: 11.345 s
% 127.92/18.95 % (3373406)Peak memory usage: 215 MB
% 127.92/18.95 % (3373406)Instructions burned: 11834 (million)
% 127.92/18.95 % (3373580)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=568164463:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2862 on theBenchmark for (2862ds/6461Mi)
% 127.92/18.95 [W927 10:43:45.260110068 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 127.92/18.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 127.92/18.95 [W927 10:43:45.260156175 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 83.77/27.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.77/27.43 [W927 10:43:45.260195209 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 83.77/27.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.77/27.43 [W927 10:43:45.260206676 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 83.77/27.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.77/27.43 [W927 10:43:45.260231096 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 83.77/27.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.77/27.43 [W927 10:43:45.260241432 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 83.77/27.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.77/27.43 [W927 10:43:45.260265083 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 83.77/27.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.77/27.43 [W927 10:43:45.260274976 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 83.77/27.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.77/27.43 [W927 10:43:45.260298516 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 83.77/27.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.77/27.43 [W927 10:43:45.260308456 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 83.77/27.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.77/27.43 [W927 10:43:45.260331526 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 83.77/27.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.77/27.43 [W927 10:43:45.260341567 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 83.77/27.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.77/27.43 % (3373578)Instruction limit reached!
% 83.77/27.43 % (3373578)------------------------------
% 83.77/27.43 % (3373578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.77/27.43 % (3373578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.77/27.43 % (3373578)CaDiCaL version: 2.1.3
% 83.77/27.43 % (3373578)Termination reason: Instruction limit
% 83.77/27.43 % (3373578)Termination phase: Saturation
% 83.77/27.43 % (3373578)Time elapsed: 0.647 s
% 83.77/27.43 % (3373578)Peak memory usage: 113 MB
% 83.77/27.43 % (3373578)Instructions burned: 2073 (million)
% 83.77/27.43 % (3373582)lrs+10_6_to=lpo:lpd=off:sil=8000:tgt=ground:drc=off:sp=arity:spb=goal:fd=preordered:random_seed=1264113069:i=2310:bd=all:ss=included_2857 on theBenchmark for (2857ds/2310Mi)
% 83.77/27.43 % (3373580)Refutation not found, incomplete strategy
% 83.77/27.43 % (3373580)------------------------------
% 83.77/27.43 % (3373580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.77/27.43 % (3373580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.77/27.43 % (3373580)CaDiCaL version: 2.1.3
% 83.77/27.43 % (3373580)Termination reason: Refutation not found, incomplete strategy
% 83.77/27.43 % (3373580)Time elapsed: 0.550 s
% 83.77/27.43 % (3373580)Peak memory usage: 125 MB
% 83.77/27.43 % (3373580)Instructions burned: 825 (million)
% 83.77/27.43 % (3373580)------------------------------
% 83.77/27.43 % (3373580)------------------------------
% 83.77/27.43 % (3373584)dis+11_1_sil=8000:fd=off:nwc=20:random_seed=1266784010:st=3:s2pl=on:i=2616:av=off:fsr=off:ss=axioms:sgt=8_2853 on theBenchmark for (2853ds/2616Mi)
% 83.77/27.43 % (3373584)Refutation not found, incomplete strategy
% 83.77/27.43 % (3373584)------------------------------
% 83.77/27.43 % (3373584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.77/27.43 % (3373584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.77/27.43 % (3373584)CaDiCaL version: 2.1.3
% 83.77/27.43 % (3373584)Termination reason: Refutation not found, incomplete strategy
% 83.77/27.43 % (3373584)Time elapsed: 0.001 s
% 83.77/27.43 % (3373584)Peak memory usage: 86 MB
% 83.77/27.43 % (3373584)------------------------------
% 83.77/27.43 % (3373584)------------------------------
% 83.77/27.43 % (3373582)Instruction limit reached!
% 83.77/27.43 % (3373582)------------------------------
% 83.77/27.43 % (3373582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.77/27.43 % (3373582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.77/27.43 % (3373582)CaDiCaL version: 2.1.3
% 83.77/27.43 % (3373582)Termination reason: Instruction limit
% 83.77/27.43 % (3373582)Termination phase: Saturation
% 83.77/27.43 % (3373582)Time elapsed: 0.725 s
% 83.77/27.43 % (3373582)Peak memory usage: 98 MB
% 83.77/27.43 % (3373582)Instructions burned: 2311 (million)
% 83.77/27.43 % (3373586)lrs+0_1_ncem=casc2026/models/loop3.pt:sil=32000:tgt=ground:npcc=on:sp=occurrence:urr=ec_only:fd=preordered:random_seed=524021872:i=30521:gtgl=2:kws=inv_arity:bd=all:gtg=exists_sym_2849 on theBenchmark for (2849ds/30521Mi)
% 83.77/27.43 % (3373587)lrs+11_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:tgt=full:npcc=on:prc=on:fde=unused:sp=reverse_frequency:spb=goal:acc=on:urr=ec_only:s2agt=32:random_seed=727963627:i=3258:fgj=on:bd=all:ins=1_2848 on theBenchmark for (2848ds/3258Mi)
% 83.77/27.43 % (3373418)Instruction limit reached!
% 83.77/27.43 % (3373418)------------------------------
% 83.77/27.43 % (3373418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.77/27.43 % (3373418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.77/27.43 % (3373418)CaDiCaL version: 2.1.3
% 83.77/27.43 % (3373418)Termination reason: Instruction limit
% 83.77/27.43 % (3373418)Termination phase: Saturation
% 83.77/27.43 % (3373418)Time elapsed: 6.365 s
% 83.77/27.43 % (3373418)Peak memory usage: 191 MB
% 83.77/27.43 % (3373418)Instructions burned: 9357 (million)
% 83.77/27.43 % (3373590)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=reverse_frequency:kmz=on:random_seed=3618590890:i=5037:kws=precedence_2839 on theBenchmark for (2839ds/5037Mi)
% 83.77/27.43 % (3373587)Instruction limit reached!
% 83.77/27.43 % (3373587)------------------------------
% 83.77/27.43 % (3373587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.77/27.43 % (3373587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.77/27.43 % (3373587)CaDiCaL version: 2.1.3
% 83.77/27.43 % (3373587)Termination reason: Instruction limit
% 83.77/27.43 % (3373587)Termination phase: Saturation
% 83.77/27.43 % (3373587)Time elapsed: 1.093 s
% 83.77/27.43 % (3373587)Peak memory usage: 150 MB
% 83.77/27.43 % (3373587)Instructions burned: 3259 (million)
% 83.77/27.43 % (3373592)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:acc=on:urr=on:bsr=unit_only:br=off:random_seed=2128650364:i=65240_2836 on theBenchmark for (2836ds/65240Mi)
% 83.77/27.43 % (3373416)Instruction limit reached!
% 83.77/27.43 % (3373416)------------------------------
% 83.77/27.43 % (3373416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.77/27.43 % (3373416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.77/27.43 % (3373416)CaDiCaL version: 2.1.3
% 83.77/27.43 % (3373416)Termination reason: Instruction limit
% 83.77/27.43 % (3373416)Termination phase: Saturation
% 83.77/27.43 % (3373416)Time elapsed: 13.097 s
% 83.77/27.43 % (3373416)Peak memory usage: 231 MB
% 83.77/27.43 % (3373416)Instructions burned: 16428 (million)
% 83.77/27.43 % (3373594)lrs-1011_1_ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:fde=unused:sp=weighted_frequency:urr=ec_only:random_seed=1580137617:i=16502:kws=inv_precedence:fgj=on:bd=preordered:ins=3:av=off_2820 on theBenchmark for (2820ds/16502Mi)
% 83.77/27.43 % (3373590)Instruction limit reached!
% 83.77/27.43 % (3373590)------------------------------
% 83.77/27.43 % (3373590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.77/27.43 % (3373590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.77/27.43 % (3373590)CaDiCaL version: 2.1.3
% 83.77/27.43 % (3373590)Termination reason: Instruction limit
% 83.77/27.43 % (3373590)Termination phase: Saturation
% 83.77/27.43 % (3373590)Time elapsed: 2.998 s
% 83.77/27.43 % (3373590)Peak memory usage: 164 MB
% 83.77/27.43 % (3373590)Instructions burned: 5038 (million)
% 83.77/27.43 % (3373596)lrs-1011_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=32000:npcc=on:drc=off:sp=const_max:spb=goal_then_units:urr=ec_only:fd=preordered:random_seed=3210069497:i=7623:bd=preordered:er=filter_2808 on theBenchmark for (2808ds/7623Mi)
% 83.77/27.43 % (3373596)Instruction limit reached!
% 83.77/27.43 % (3373596)------------------------------
% 83.77/27.43 % (3373596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.77/27.43 % (3373596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.77/27.43 % (3373596)CaDiCaL version: 2.1.3
% 83.77/27.43 % (3373596)Termination reason: Instruction limit
% 83.77/27.43 % (3373596)Termination phase: Saturation
% 83.77/27.43 % (3373596)Time elapsed: 4.538 s
% 83.77/27.43 % (3373596)Peak memory usage: 185 MB
% 83.77/27.43 % (3373596)Instructions burned: 7624 (million)
% 83.77/27.43 % (3373598)dis+1010_1_anc=none:ncem=casc2026/models/loop3.pt:sil=16000:tgt=full:npcc=on:sp=const_min:spb=non_intro:lcm=predicate:acc=on:urr=ec_only:rp=on:gs=on:random_seed=4060528131:i=8183:kws=frequency:add=off:gsp=on_2760 on theBenchmark for (2760ds/8183Mi)
% 83.77/27.43 % (3373594)First to succeed.
% 83.77/27.43 % (3373594)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3373373"
% 83.77/27.43 % (3373594)Refutation found. Thanks to Tanya!
% 83.77/27.43 % SZS status Unsatisfiable for theBenchmark
% 83.77/27.43 % SZS output start Proof for theBenchmark
% See solution above
% 188.56/27.63 % (3373594)------------------------------
% 188.56/27.63 % (3373594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 188.56/27.63 % (3373594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.56/27.63 % (3373594)CaDiCaL version: 2.1.3
% 188.56/27.63 % (3373594)Termination reason: Refutation
% 188.56/27.63 % (3373594)Time elapsed: 7.948 s
% 188.56/27.63 % (3373594)Peak memory usage: 241 MB
% 188.56/27.63 % (3373594)Instructions burned: 12985 (million)
% 188.56/27.63 % (3373594)------------------------------
% 188.56/27.63 % (3373594)------------------------------
% 188.56/27.63 % (3373373)Success in time 26.454 s
% 188.56/27.63 % Vampire exiting
%------------------------------------------------------------------------------