%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT389-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 11:47:34 AM UTC 2026
% Result : Unsatisfiable 12.01s 2.59s
% Output : Refutation 12.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 9
% Syntax : Number of formulae : 87 ( 72 unt; 7 def)
% Number of atoms : 112 ( 73 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 51 ( 26 ~; 21 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 17 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 167 ( 0 sgn 167 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] : mult(plus(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X2),plus(mult(plus(X0,mult(mult(plus(X3,X1),plus(X1,X4)),X1)),plus(mult(plus(X1,plus(plus(mult(X3,mult(X1,X4)),mult(X5,X1)),X1)),plus(X6,mult(X1,plus(plus(mult(X1,X7),mult(X5,X1)),X1)))),mult(X0,mult(mult(plus(X3,X1),plus(X1,X4)),X1)))),mult(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f2,negated_conjecture,
mult(a,plus(b,plus(a,c))) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f3,plain,
a != mult(a,plus(b,plus(a,c))),
inference(reorient_equations,[],[f2]) ).
fof(f4,definition,
sF0 = plus(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
plus(a,c) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = plus(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
plus(b,sF0) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = mult(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
mult(a,sF1) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,plain,
a != sF2,
inference(definition_folding,[],[f3,f9,f7,f5]) ).
fof(f12,definition,
( spl3_1
<=> mult(a,sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f14,plain,
( mult(a,sF1) = sF2
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f15,plain,
spl3_1,
inference(avatar_split_clause,[],[f9,f12]) ).
fof(f17,definition,
( spl3_2
<=> plus(a,c) = sF0 ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f19,plain,
( plus(a,c) = sF0
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f20,plain,
spl3_2,
inference(avatar_split_clause,[],[f5,f17]) ).
fof(f22,definition,
( spl3_3
<=> plus(b,sF0) = sF1 ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f24,plain,
( plus(b,sF0) = sF1
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f25,plain,
spl3_3,
inference(avatar_split_clause,[],[f7,f22]) ).
fof(f27,definition,
( spl3_4
<=> a = sF2 ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f29,plain,
( a != sF2
| spl3_4 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f30,plain,
~ spl3_4,
inference(avatar_split_clause,[],[f10,f27]) ).
fof(f37,plain,
! [X2,X3,X0,X1,X4] : mult(plus(X2,X0),plus(X0,mult(X2,X0))) = mult(plus(mult(plus(X1,mult(plus(X2,X0),plus(X0,mult(X2,X0)))),plus(mult(plus(X2,X0),plus(X0,mult(X2,X0))),mult(X1,mult(plus(X2,X0),plus(X0,mult(X2,X0)))))),X3),plus(mult(plus(X1,mult(mult(plus(mult(plus(X2,X0),plus(X0,mult(X2,X0))),mult(plus(X2,X0),plus(X0,mult(X2,X0)))),plus(mult(plus(X2,X0),plus(X0,mult(X2,X0))),X4)),mult(plus(X2,X0),plus(X0,mult(X2,X0))))),plus(X0,mult(X1,mult(mult(plus(mult(plus(X2,X0),plus(X0,mult(X2,X0))),mult(plus(X2,X0),plus(X0,mult(X2,X0)))),plus(mult(plus(X2,X0),plus(X0,mult(X2,X0))),X4)),mult(plus(X2,X0),plus(X0,mult(X2,X0))))))),mult(mult(plus(X1,mult(plus(X2,X0),plus(X0,mult(X2,X0)))),plus(mult(plus(X2,X0),plus(X0,mult(X2,X0))),mult(X1,mult(plus(X2,X0),plus(X0,mult(X2,X0)))))),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f55,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : mult(plus(mult(plus(X7,X0),plus(X0,mult(X7,X0))),X8),plus(mult(plus(X7,mult(mult(plus(X0,X0),plus(X0,X9)),X0)),plus(mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))),mult(X7,mult(mult(plus(X0,X0),plus(X0,X9)),X0)))),mult(mult(plus(X7,X0),plus(X0,mult(X7,X0))),X8))) = X0,
inference(superposition,[],[f37,f1]) ).
fof(f88,plain,
! [X2,X0,X1] : mult(plus(mult(plus(mult(plus(X1,X0),plus(X0,mult(X1,X0))),X0),plus(X0,mult(mult(plus(X1,X0),plus(X0,mult(X1,X0))),X0))),X2),plus(X0,mult(mult(plus(mult(plus(X1,X0),plus(X0,mult(X1,X0))),X0),plus(X0,mult(mult(plus(X1,X0),plus(X0,mult(X1,X0))),X0))),X2))) = X0,
inference(superposition,[],[f55,f1]) ).
fof(f119,plain,
! [X2,X0] : mult(plus(X0,X2),plus(X0,mult(X0,X2))) = X0,
inference(superposition,[],[f88,f88]) ).
fof(f121,plain,
! [X2,X3,X0,X4] : mult(plus(mult(plus(X2,X0),plus(X0,mult(X2,X0))),X3),plus(mult(plus(X2,mult(mult(plus(X0,X0),plus(X0,X4)),X0)),plus(X0,mult(X2,mult(mult(plus(X0,X0),plus(X0,X4)),X0)))),mult(mult(plus(X2,X0),plus(X0,mult(X2,X0))),X3))) = X0,
inference(superposition,[],[f37,f88]) ).
fof(f194,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))) = mult(plus(X0,X7),plus(mult(plus(mult(plus(X1,X0),plus(X0,mult(X1,X0))),mult(mult(plus(mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))),mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0))))),plus(mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))),X8)),mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))))),plus(mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))),mult(mult(plus(X1,X0),plus(X0,mult(X1,X0))),mult(mult(plus(mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))),mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0))))),plus(mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))),X8)),mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))))))),mult(X0,X7))),
inference(superposition,[],[f121,f1]) ).
fof(f197,plain,
! [X2,X3,X0,X1,X4] : mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))) = mult(plus(X0,X3),plus(mult(plus(mult(plus(X1,X0),plus(X0,mult(X1,X0))),mult(mult(plus(mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))),mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0))))),plus(mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))),X4)),mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))))),plus(mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))),mult(mult(plus(X1,X0),plus(X0,mult(X1,X0))),mult(mult(plus(mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))),mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0))))),plus(mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))),X4)),mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))))))),mult(X0,X3))),
inference(superposition,[],[f121,f121]) ).
fof(f222,plain,
! [X2,X3,X0,X1] : mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))) = mult(plus(X0,X3),plus(X0,mult(X0,X3))),
inference(forward_demodulation,[],[f197,f121]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))) = mult(plus(X0,X7),plus(X0,mult(X0,X7))),
inference(forward_demodulation,[],[f194,f1]) ).
fof(f231,plain,
! [X2,X0,X1] : mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))) = X0,
inference(forward_demodulation,[],[f222,f119]) ).
fof(f234,plain,
! [X2,X3,X0,X1,X6,X4,X5] : mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))) = X0,
inference(forward_demodulation,[],[f225,f119]) ).
fof(f239,plain,
! [X2,X3,X0] : mult(plus(mult(plus(X2,X0),plus(X0,mult(X2,X0))),X3),plus(X0,mult(mult(plus(X2,X0),plus(X0,mult(X2,X0))),X3))) = X0,
inference(backward_demodulation,[],[f121,f231]) ).
fof(f391,plain,
! [X2,X3,X0,X1,X4] : mult(plus(X1,mult(X0,X0)),plus(mult(plus(X0,plus(plus(mult(X0,mult(X0,mult(X0,X0))),mult(X2,X0)),X0)),plus(X3,mult(X0,plus(plus(mult(X0,X4),mult(X2,X0)),X0)))),mult(X1,mult(X0,X0)))) = X0,
inference(superposition,[],[f234,f119]) ).
fof(f393,plain,
! [X2,X3,X0,X1,X4,X5] : mult(plus(X0,plus(plus(mult(X1,mult(X0,X2)),mult(X3,X0)),X0)),plus(X4,mult(X0,plus(plus(mult(X0,X5),mult(X3,X0)),X0)))) = X0,
inference(superposition,[],[f119,f234]) ).
fof(f401,plain,
! [X2,X3,X0,X1] : mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(X0,mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))) = X0,
inference(backward_demodulation,[],[f234,f393]) ).
fof(f411,plain,
! [X0,X1] : mult(plus(X1,mult(X0,X0)),plus(X0,mult(X1,mult(X0,X0)))) = X0,
inference(forward_demodulation,[],[f391,f393]) ).
fof(f491,plain,
! [X0,X1] : mult(plus(X0,X1),plus(X1,mult(X0,X1))) = X1,
inference(superposition,[],[f239,f393]) ).
fof(f561,plain,
! [X2,X0,X1] : plus(plus(mult(X0,mult(X0,X1)),mult(X2,X0)),X0) = X0,
inference(superposition,[],[f393,f491]) ).
fof(f594,plain,
! [X2,X3,X0,X4] : mult(plus(X0,X0),plus(X3,mult(X0,plus(plus(mult(X0,X4),mult(X2,X0)),X0)))) = X0,
inference(superposition,[],[f393,f561]) ).
fof(f617,plain,
! [X0,X1] : mult(plus(X0,X0),plus(X1,mult(X0,X0))) = X0,
inference(superposition,[],[f594,f561]) ).
fof(f631,plain,
! [X0] : mult(X0,X0) = X0,
inference(superposition,[],[f411,f617]) ).
fof(f632,plain,
! [X2,X0,X1] : mult(mult(plus(X0,X1),plus(X1,X2)),X1) = X1,
inference(superposition,[],[f401,f617]) ).
fof(f665,plain,
! [X0,X1] : mult(plus(X0,X0),plus(X1,X0)) = X0,
inference(backward_demodulation,[],[f617,f631]) ).
fof(f675,plain,
! [X3,X0] : mult(mult(X0,plus(X0,X3)),X0) = X0,
inference(superposition,[],[f632,f561]) ).
fof(f682,plain,
! [X2,X3,X0,X1] : plus(plus(mult(X1,mult(X0,X2)),mult(X3,X0)),X0) = mult(X0,plus(plus(mult(X1,mult(X0,X2)),mult(X3,X0)),X0)),
inference(superposition,[],[f632,f393]) ).
fof(f689,plain,
! [X0,X1] : plus(plus(mult(X0,mult(X0,X1)),X0),X0) = X0,
inference(superposition,[],[f561,f632]) ).
fof(f710,plain,
! [X0] : plus(X0,X0) = mult(X0,plus(X0,X0)),
inference(superposition,[],[f675,f594]) ).
fof(f712,plain,
! [X0,X1] : mult(X0,plus(X0,X1)) = mult(plus(mult(X0,plus(X0,X1)),X0),plus(mult(X0,plus(X0,X1)),X0)),
inference(superposition,[],[f119,f675]) ).
fof(f716,plain,
! [X0,X1] : mult(plus(mult(X0,plus(X0,X1)),X0),plus(X0,X0)) = X0,
inference(superposition,[],[f491,f675]) ).
fof(f723,plain,
! [X0,X1] : mult(X0,plus(X0,X1)) = plus(mult(X0,plus(X0,X1)),X0),
inference(forward_demodulation,[],[f712,f631]) ).
fof(f726,plain,
! [X0,X1] : mult(mult(X0,plus(X0,X1)),plus(X0,X0)) = X0,
inference(backward_demodulation,[],[f716,f723]) ).
fof(f730,plain,
! [X0] : mult(plus(X0,plus(X0,X0)),plus(X0,plus(X0,X0))) = X0,
inference(superposition,[],[f119,f710]) ).
fof(f740,plain,
! [X0] : plus(X0,plus(X0,X0)) = X0,
inference(forward_demodulation,[],[f730,f631]) ).
fof(f780,plain,
! [X0,X1] : mult(mult(plus(X1,X0),X0),X0) = X0,
inference(superposition,[],[f632,f740]) ).
fof(f786,plain,
! [X0] : plus(X0,X0) = mult(mult(X0,plus(X0,X0)),plus(X0,X0)),
inference(superposition,[],[f780,f740]) ).
fof(f804,plain,
! [X0] : plus(X0,X0) = X0,
inference(forward_demodulation,[],[f786,f726]) ).
fof(f811,plain,
! [X0,X1] : mult(X0,plus(X1,X0)) = X0,
inference(backward_demodulation,[],[f665,f804]) ).
fof(f848,plain,
! [X2,X3,X0,X1] : plus(plus(mult(X1,mult(X0,X2)),mult(X3,X0)),X0) = X0,
inference(backward_demodulation,[],[f682,f811]) ).
fof(f904,plain,
! [X0,X1] : mult(plus(X0,X1),X1) = X1,
inference(superposition,[],[f632,f811]) ).
fof(f914,plain,
! [X0,X1] : plus(X1,X0) = mult(plus(plus(X1,X0),X0),plus(plus(X1,X0),X0)),
inference(superposition,[],[f119,f904]) ).
fof(f917,plain,
! [X0,X1] : plus(X1,X0) = plus(plus(X1,X0),X0),
inference(forward_demodulation,[],[f914,f631]) ).
fof(f920,plain,
! [X0,X1] : plus(mult(X0,mult(X0,X1)),X0) = X0,
inference(backward_demodulation,[],[f689,f917]) ).
fof(f928,plain,
! [X0,X1] : plus(X1,X0) = plus(mult(plus(X1,X0),X0),plus(X1,X0)),
inference(superposition,[],[f920,f904]) ).
fof(f941,plain,
! [X0,X1] : plus(X1,X0) = plus(X0,plus(X1,X0)),
inference(forward_demodulation,[],[f928,f904]) ).
fof(f1041,plain,
! [X2,X0,X1] : plus(plus(mult(X1,mult(X0,X2)),X0),X0) = X0,
inference(superposition,[],[f848,f675]) ).
fof(f1057,plain,
! [X2,X0,X1] : plus(mult(X1,mult(X0,X2)),X0) = X0,
inference(forward_demodulation,[],[f1041,f917]) ).
fof(f1075,plain,
! [X2,X0,X1] : plus(X0,X2) = plus(mult(X1,X0),plus(X0,X2)),
inference(superposition,[],[f1057,f119]) ).
fof(f1086,plain,
! [X0,X1] : plus(mult(X0,X1),X0) = X0,
inference(superposition,[],[f1057,f675]) ).
fof(f1100,plain,
! [X0,X1] : mult(X0,plus(X0,X1)) = X0,
inference(backward_demodulation,[],[f723,f1086]) ).
fof(f1601,plain,
! [X2,X0,X1] : plus(plus(X0,X1),X2) = plus(X0,plus(plus(X0,X1),X2)),
inference(superposition,[],[f1075,f1100]) ).
fof(f1734,plain,
! [X2,X0,X1] : mult(X0,plus(plus(X0,X1),X2)) = X0,
inference(superposition,[],[f1100,f1601]) ).
fof(f1925,plain,
( ! [X0] : a = mult(a,plus(sF0,X0))
| ~ spl3_2 ),
inference(superposition,[],[f1734,f19]) ).
fof(f1956,plain,
( ! [X0] : a = mult(a,plus(X0,sF0))
| ~ spl3_2 ),
inference(superposition,[],[f1925,f941]) ).
fof(f2008,plain,
( a = mult(a,sF1)
| ~ spl3_2
| ~ spl3_3 ),
inference(superposition,[],[f1956,f24]) ).
fof(f2024,plain,
( a = sF2
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(forward_demodulation,[],[f2008,f14]) ).
fof(f2025,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| spl3_4 ),
inference(forward_subsumption_resolution,[],[f2024,f29]) ).
fof(f2026,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f2025]) ).
cnf(s1,plain,
spl3_1,
inference(sat_conversion,[],[f15]) ).
cnf(s2,plain,
spl3_2,
inference(sat_conversion,[],[f20]) ).
cnf(s3,plain,
spl3_3,
inference(sat_conversion,[],[f25]) ).
cnf(s4,plain,
~ spl3_4,
inference(sat_conversion,[],[f30]) ).
cnf(s8,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| spl3_4 ),
inference(sat_conversion,[],[f2026]) ).
cnf(s9,plain,
~ spl3_1,
inference(rat,[],[s8,s4,s3,s2]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s9]) ).
fof(f2027,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT389-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 15:15:39 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 12.01/2.59 % (2491572)Detected a unit-equality problem, will run specialized UEQ schedule.
% 12.01/2.59 % (2491581)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=629327049:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 12.01/2.59 % (2491583)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2806719259:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 12.01/2.59 % (2491580)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1091473587:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 12.01/2.59 % (2491577)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=4028666221:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 12.01/2.59 % (2491578)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=3049817567:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 12.01/2.59 % (2491579)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2848804107:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 12.01/2.59 % (2491582)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4280526432:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 12.01/2.59 % (2491581)Instruction limit reached!
% 12.01/2.59 % (2491581)------------------------------
% 12.01/2.59 % (2491581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.01/2.59 % (2491581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.01/2.59 % (2491581)CaDiCaL version: 2.1.3
% 12.01/2.59 % (2491581)Termination reason: Instruction limit
% 12.01/2.59 % (2491581)Termination phase: Saturation
% 12.01/2.59 % (2491581)Time elapsed: 0.054 s
% 12.01/2.59 % (2491581)Peak memory usage: 89 MB
% 12.01/2.59 % (2491581)Instructions burned: 185 (million)
% 12.01/2.59 % (2491580)Instruction limit reached!
% 12.01/2.59 % (2491580)------------------------------
% 12.01/2.59 % (2491580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.01/2.59 % (2491580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.01/2.59 % (2491580)CaDiCaL version: 2.1.3
% 12.01/2.59 % (2491580)Termination reason: Instruction limit
% 12.01/2.59 % (2491580)Termination phase: Saturation
% 12.01/2.59 % (2491580)Time elapsed: 0.064 s
% 12.01/2.59 % (2491580)Peak memory usage: 91 MB
% 12.01/2.59 % (2491580)Instructions burned: 138 (million)
% 12.01/2.59 % (2491582)Instruction limit reached!
% 12.01/2.59 % (2491582)------------------------------
% 12.01/2.59 % (2491582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.01/2.59 % (2491582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.01/2.59 % (2491582)CaDiCaL version: 2.1.3
% 12.01/2.59 % (2491582)Termination reason: Instruction limit
% 12.01/2.59 % (2491582)Termination phase: Saturation
% 12.01/2.59 % (2491582)Time elapsed: 0.116 s
% 12.01/2.59 % (2491582)Peak memory usage: 93 MB
% 12.01/2.59 % (2491582)Instructions burned: 257 (million)
% 12.01/2.59 % (2491591)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2958771930:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 12.01/2.59 % (2491592)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=483148046:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 12.01/2.59 % (2491593)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2347484662:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 12.01/2.59 % (2491593)Instruction limit reached!
% 12.01/2.59 % (2491593)------------------------------
% 12.01/2.59 % (2491593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.01/2.59 % (2491593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.01/2.59 % (2491593)CaDiCaL version: 2.1.3
% 12.01/2.59 % (2491593)Termination reason: Instruction limit
% 12.01/2.59 % (2491593)Termination phase: Saturation
% 12.01/2.59 % (2491593)Time elapsed: 0.104 s
% 12.01/2.59 % (2491593)Peak memory usage: 115 MB
% 12.01/2.59 % (2491593)Instructions burned: 215 (million)
% 12.01/2.59 % (2491601)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=821352194:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 12.01/2.59 % (2491583)Instruction limit reached!
% 12.01/2.59 % (2491583)------------------------------
% 12.01/2.59 % (2491583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.01/2.59 % (2491583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.01/2.59 % (2491583)CaDiCaL version: 2.1.3
% 12.01/2.59 % (2491583)Termination reason: Instruction limit
% 12.01/2.59 % (2491583)Termination phase: Saturation
% 12.01/2.59 % (2491583)Time elapsed: 0.556 s
% 12.01/2.59 % (2491583)Peak memory usage: 106 MB
% 12.01/2.59 % (2491583)Instructions burned: 1187 (million)
% 12.01/2.59 % (2491601)Instruction limit reached!
% 12.01/2.59 % (2491601)------------------------------
% 12.01/2.59 % (2491601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.01/2.59 % (2491601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.01/2.59 % (2491601)CaDiCaL version: 2.1.3
% 12.01/2.59 % (2491601)Termination reason: Instruction limit
% 12.01/2.59 % (2491601)Termination phase: Saturation
% 12.01/2.59 % (2491601)Time elapsed: 0.155 s
% 12.01/2.59 % (2491601)Peak memory usage: 95 MB
% 12.01/2.59 % (2491601)Instructions burned: 317 (million)
% 12.01/2.59 % (2491603)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=934112688:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 12.01/2.59 % (2491591)Instruction limit reached!
% 12.01/2.59 % (2491591)------------------------------
% 12.01/2.59 % (2491591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.01/2.59 % (2491591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.01/2.59 % (2491591)CaDiCaL version: 2.1.3
% 12.01/2.59 % (2491591)Termination reason: Instruction limit
% 12.01/2.59 % (2491591)Termination phase: Saturation
% 12.01/2.59 % (2491591)Time elapsed: 0.659 s
% 12.01/2.59 % (2491591)Peak memory usage: 138 MB
% 12.01/2.59 % (2491591)Instructions burned: 2052 (million)
% 12.01/2.59 % (2491604)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2962405282:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 12.01/2.59 % (2491606)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3238631451:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2990 on theBenchmark for (2990ds/14534Mi)
% 12.01/2.59 % (2491577)First to succeed.
% 12.01/2.59 % (2491577)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2491572"
% 12.01/2.59 % (2491592)Also succeeded, but the first one will report.
% 12.01/2.59 % (2491578)Also succeeded, but the first one will report.
% 12.01/2.59 % (2491577)Refutation found. Thanks to Tanya!
% 12.01/2.59 % SZS status Unsatisfiable for theBenchmark
% 12.01/2.59 % SZS output start Proof for theBenchmark
% See solution above
% 12.67/2.68 % (2491577)------------------------------
% 12.67/2.68 % (2491577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.67/2.68 % (2491577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.67/2.68 % (2491577)CaDiCaL version: 2.1.3
% 12.67/2.68 % (2491577)Termination reason: Refutation
% 12.67/2.68 % (2491577)Time elapsed: 1.303 s
% 12.67/2.68 % (2491577)Peak memory usage: 138 MB
% 12.67/2.68 % (2491577)Instructions burned: 2246 (million)
% 12.67/2.68 % (2491577)------------------------------
% 12.67/2.68 % (2491577)------------------------------
% 12.67/2.68 % (2491572)Success in time 1.733 s
% 12.67/2.68 % Vampire exiting
%------------------------------------------------------------------------------