%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP436-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 10:14:00 AM UTC 2026
% Result : Unsatisfiable 5.56s 2.71s
% Output : Refutation 13.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 11
% Syntax : Number of formulae : 153 ( 65 unt; 9 def)
% Number of atoms : 267 ( 137 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 227 ( 113 ~; 109 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 471 ( 0 sgn 471 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X0))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f3,definition,
sF0 = inverse(a1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f4,plain,
inverse(a1) = sF0,
inference(reorient_equations,[],[f3]) ).
fof(f5,definition,
sF1 = multiply(sF0,a1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f6,plain,
multiply(sF0,a1) = sF1,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF2 = inverse(b1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f8,plain,
inverse(b1) = sF2,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF3 = multiply(sF2,b1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f10,plain,
multiply(sF2,b1) = sF3,
inference(reorient_equations,[],[f9]) ).
fof(f11,plain,
sF1 != sF3,
inference(definition_folding,[],[f2,f10,f8,f6,f4]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X0,X2))),X4)))),multiply(X5,multiply(multiply(inverse(X5),inverse(X0)),X1))))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X0,X3))),inverse(X4))),multiply(X4,multiply(X0,X1))))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f14,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X0,X1))),multiply(inverse(X3),inverse(multiply(X4,X5))))))),inverse(multiply(X5,multiply(X3,X0)))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f16,definition,
( spl4_1
<=> multiply(sF0,a1) = sF1 ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f18,plain,
( multiply(sF0,a1) = sF1
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f19,plain,
spl4_1,
inference(avatar_split_clause,[],[f6,f16]) ).
fof(f21,definition,
( spl4_2
<=> multiply(sF2,b1) = sF3 ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f23,plain,
( multiply(sF2,b1) = sF3
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,plain,
spl4_2,
inference(avatar_split_clause,[],[f10,f21]) ).
fof(f28,definition,
( spl4_3
<=> inverse(a1) = sF0 ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f30,plain,
( inverse(a1) = sF0
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f31,plain,
spl4_3,
inference(avatar_split_clause,[],[f4,f28]) ).
fof(f33,definition,
( spl4_4
<=> inverse(b1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f35,plain,
( inverse(b1) = sF2
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f36,plain,
spl4_4,
inference(avatar_split_clause,[],[f8,f33]) ).
fof(f38,definition,
( spl4_5
<=> sF1 = sF3 ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f40,plain,
( sF1 != sF3
| spl4_5 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f41,plain,
~ spl4_5,
inference(avatar_split_clause,[],[f11,f38]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : inverse(multiply(X7,multiply(X6,X5))) = multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X0)),inverse(X8))),multiply(X8,multiply(inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),multiply(inverse(X6),inverse(multiply(X0,X7))))))),X1))))),
inference(superposition,[],[f13,f14]) ).
fof(f91,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X3,X0))),inverse(X2))) = multiply(X1,inverse(multiply(multiply(X2,multiply(X3,inverse(X4))),multiply(X4,multiply(X0,X1))))),
inference(superposition,[],[f1,f13]) ).
fof(f131,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X1),inverse(multiply(X4,multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(X4,X0)))))))) = X2,
inference(superposition,[],[f1,f91]) ).
fof(f141,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2))),inverse(X1))) = X3,
inference(superposition,[],[f13,f91]) ).
fof(f172,plain,
( ! [X2,X0,X1] : multiply(inverse(X0),inverse(multiply(sF2,multiply(b1,inverse(multiply(multiply(X0,multiply(X1,inverse(X2))),multiply(X2,sF3))))))) = X1
| ~ spl4_2 ),
inference(superposition,[],[f131,f23]) ).
fof(f195,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(multiply(multiply(X3,multiply(X1,inverse(X7))),multiply(X7,multiply(X2,X6)))) = multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X5),inverse(multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,X2))),inverse(X3))))),X6))),inverse(X5))),
inference(superposition,[],[f141,f91]) ).
fof(f214,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,X0))),X4))),X5))),inverse(X2))) = multiply(X6,inverse(multiply(X0,multiply(X3,multiply(X5,X6))))),
inference(superposition,[],[f91,f141]) ).
fof(f217,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X1),inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X1),inverse(multiply(X4,X0))),X4))),X5))),inverse(X3))),X0))) = X5,
inference(superposition,[],[f13,f141]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),inverse(X2))) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X0,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X0))))))),inverse(X2))),
inference(superposition,[],[f141,f12]) ).
fof(f294,plain,
! [X2,X1,X6,X5] : multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),inverse(X2))) = multiply(X1,multiply(multiply(inverse(X1),inverse(X5)),inverse(X2))),
inference(forward_demodulation,[],[f290,f1]) ).
fof(f494,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X2),inverse(multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),inverse(multiply(multiply(X2,multiply(X3,inverse(X4))),multiply(X4,multiply(X5,multiply(inverse(X5),inverse(X1)))))))))) = X3,
inference(superposition,[],[f131,f294]) ).
fof(f511,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(X5),inverse(X1)),inverse(X2)) = multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(X4),inverse(multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),inverse(X2))))),X5))),inverse(X4))),
inference(superposition,[],[f141,f294]) ).
fof(f518,plain,
! [X2,X3,X1,X6,X7] : inverse(multiply(multiply(X3,multiply(X1,inverse(X7))),multiply(X7,multiply(X2,X6)))) = multiply(multiply(inverse(X6),inverse(multiply(X1,X2))),inverse(X3)),
inference(backward_demodulation,[],[f195,f511]) ).
fof(f533,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,X0))),X3))),X4))),inverse(X1)) = inverse(multiply(X0,multiply(X2,multiply(X4,X5)))),
inference(superposition,[],[f518,f141]) ).
fof(f558,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X0,X4))),X2)))),X6)))) = multiply(multiply(inverse(X6),inverse(X0)),inverse(X1)),
inference(superposition,[],[f518,f1]) ).
fof(f684,plain,
! [X3,X0,X1,X6,X5] : multiply(X6,inverse(multiply(X0,multiply(X3,multiply(X5,X6))))) = multiply(X1,inverse(multiply(X0,multiply(X3,multiply(X5,X1))))),
inference(backward_demodulation,[],[f214,f533]) ).
fof(f685,plain,
! [X2,X0,X1,X5] : multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(multiply(X0,multiply(X1,multiply(X5,X2))))),X0))) = X5,
inference(backward_demodulation,[],[f217,f533]) ).
fof(f774,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(X1,inverse(multiply(X2,multiply(X3,multiply(inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X6,X4))),multiply(inverse(X7),inverse(multiply(X0,X8))))))),X1))))) = multiply(inverse(multiply(X8,multiply(X7,X6))),inverse(multiply(X2,multiply(X3,X0)))),
inference(superposition,[],[f684,f14]) ).
fof(f904,plain,
! [X2,X0,X8,X6,X7,X5] : inverse(multiply(X7,multiply(X6,X5))) = multiply(inverse(multiply(X7,multiply(X6,X5))),inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X0)),inverse(X8))),multiply(X8,X0)))),
inference(backward_demodulation,[],[f70,f774]) ).
fof(f924,plain,
! [X0,X6,X4,X5] : inverse(X0) = multiply(inverse(X0),inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(X5)),inverse(X6))),multiply(X6,X5)))),
inference(superposition,[],[f904,f141]) ).
fof(f994,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(multiply(X0,multiply(X1,X2)),multiply(inverse(multiply(X0,multiply(X1,X2))),inverse(X6))) = multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),inverse(X5))),multiply(X5,X4)))),inverse(X6))),
inference(superposition,[],[f294,f904]) ).
fof(f1026,plain,
! [X2,X0,X1,X6,X7] : multiply(multiply(X0,multiply(X1,X2)),multiply(inverse(multiply(X0,multiply(X1,X2))),inverse(X6))) = multiply(X7,multiply(inverse(X7),inverse(X6))),
inference(backward_demodulation,[],[f994,f924]) ).
fof(f1063,plain,
! [X0,X1,X5] : multiply(X5,multiply(inverse(X5),inverse(X1))) = multiply(X0,multiply(inverse(X0),inverse(X1))),
inference(superposition,[],[f1026,f1026]) ).
fof(f1164,plain,
( ! [X0,X1] : multiply(X0,multiply(inverse(X0),inverse(X1))) = multiply(a1,multiply(sF0,inverse(X1)))
| ~ spl4_3 ),
inference(superposition,[],[f1063,f30]) ).
fof(f1167,plain,
( ! [X0,X1] : multiply(X0,multiply(inverse(X0),sF0)) = multiply(X1,multiply(inverse(X1),sF0))
| ~ spl4_3 ),
inference(superposition,[],[f1063,f30]) ).
fof(f1172,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,X0) = multiply(X1,multiply(inverse(X1),inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X0,X2))),inverse(X4))))))),
inference(superposition,[],[f1063,f1]) ).
fof(f1394,plain,
( ! [X2,X0,X1] : multiply(sF2,inverse(multiply(multiply(X0,inverse(multiply(X1,multiply(b1,multiply(X2,X0))))),X1))) = X2
| ~ spl4_4 ),
inference(superposition,[],[f685,f35]) ).
fof(f1456,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,X0) = multiply(X4,multiply(inverse(X4),inverse(multiply(multiply(X2,inverse(multiply(X3,multiply(X1,multiply(X0,X2))))),X3)))),
inference(superposition,[],[f1063,f685]) ).
fof(f1551,plain,
( ! [X2,X3,X0,X1,X4] : multiply(inverse(X1),inverse(multiply(X2,multiply(multiply(inverse(X2),sF0),inverse(multiply(multiply(X1,multiply(X3,inverse(X4))),multiply(X4,multiply(X0,multiply(inverse(X0),sF0))))))))) = X3
| ~ spl4_3 ),
inference(superposition,[],[f131,f1167]) ).
fof(f1668,plain,
( ! [X2,X0,X1] : sF0 = multiply(sF0,inverse(multiply(multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),inverse(X2))),multiply(X2,X1))))
| ~ spl4_3 ),
inference(superposition,[],[f924,f30]) ).
fof(f1688,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(X1) = multiply(inverse(X1),inverse(multiply(multiply(X2,multiply(X0,inverse(X7))),multiply(X7,multiply(inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X0)))),multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),inverse(X2)))))))),
inference(superposition,[],[f924,f12]) ).
fof(f1739,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,multiply(multiply(inverse(X4),inverse(X3)),inverse(X2))) = multiply(X1,inverse(multiply(multiply(X2,X3),multiply(X0,multiply(inverse(X0),X1))))),
inference(superposition,[],[f1,f924]) ).
fof(f1746,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X0),inverse(X1)) = inverse(multiply(multiply(X1,multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X4))),inverse(X5))),multiply(X5,multiply(multiply(X4,X3),X0)))),
inference(superposition,[],[f518,f924]) ).
fof(f1753,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(X0)) = multiply(X4,multiply(inverse(X4),inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3))),multiply(X3,X2))))),
inference(superposition,[],[f1063,f924]) ).
fof(f1754,plain,
( ! [X2,X3,X0,X1] : multiply(X0,inverse(X0)) = multiply(a1,multiply(sF0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3))),multiply(X3,X2)))))
| ~ spl4_3 ),
inference(superposition,[],[f1164,f924]) ).
fof(f1786,plain,
! [X0,X4] : multiply(X0,inverse(X0)) = multiply(X4,inverse(X4)),
inference(forward_demodulation,[],[f1753,f924]) ).
fof(f1807,plain,
! [X2,X1,X6,X5] : inverse(X1) = multiply(inverse(X1),multiply(multiply(inverse(multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),inverse(X2)))),inverse(X5)),inverse(X2))),
inference(forward_demodulation,[],[f1688,f558]) ).
fof(f1808,plain,
( ! [X0] : multiply(X0,inverse(X0)) = multiply(a1,sF0)
| ~ spl4_3 ),
inference(backward_demodulation,[],[f1754,f1668]) ).
fof(f1901,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(multiply(X2,X3)))),inverse(multiply(X3,multiply(X1,multiply(X0,inverse(X0)))))) = X2,
inference(superposition,[],[f1,f1786]) ).
fof(f1904,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = multiply(X3,multiply(multiply(inverse(X3),inverse(X2)),inverse(multiply(inverse(X1),inverse(X2))))),
inference(superposition,[],[f294,f1786]) ).
fof(f1956,plain,
( ! [X2,X0,X1] : multiply(X0,multiply(a1,sF0)) = multiply(X2,multiply(multiply(inverse(X2),inverse(X1)),inverse(multiply(inverse(X0),inverse(X1)))))
| ~ spl4_3 ),
inference(superposition,[],[f294,f1808]) ).
fof(f1986,plain,
( ! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = multiply(X1,multiply(a1,sF0))
| ~ spl4_3 ),
inference(backward_demodulation,[],[f1904,f1956]) ).
fof(f2032,plain,
( ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = multiply(X0,multiply(X2,inverse(X2)))
| ~ spl4_3 ),
inference(superposition,[],[f1986,f1986]) ).
fof(f2443,plain,
( ! [X2,X3,X0,X1,X4] : inverse(X2) = multiply(inverse(X2),inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X4)))),inverse(X0))),multiply(X0,multiply(X1,inverse(X1))))))
| ~ spl4_3 ),
inference(superposition,[],[f924,f2032]) ).
fof(f3158,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,X1) = multiply(inverse(multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),inverse(X2)))),inverse(multiply(multiply(X4,multiply(inverse(X4),inverse(X3))),multiply(X3,multiply(X5,inverse(X5)))))),
inference(superposition,[],[f1901,f1739]) ).
fof(f3162,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(X3) = multiply(inverse(X3),inverse(multiply(multiply(X4,multiply(multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),inverse(X2))),inverse(X6))),multiply(X6,multiply(multiply(X2,X1),multiply(X5,multiply(inverse(X5),inverse(X4)))))))),
inference(superposition,[],[f924,f1739]) ).
fof(f3187,plain,
! [X3,X4,X5] : inverse(X3) = multiply(inverse(X3),multiply(inverse(multiply(X5,multiply(inverse(X5),inverse(X4)))),inverse(X4))),
inference(forward_demodulation,[],[f3162,f1746]) ).
fof(f3295,plain,
! [X2,X3,X0,X1,X4] : inverse(X4) = multiply(inverse(X4),inverse(multiply(X0,multiply(inverse(X0),inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3))),multiply(X3,X2))))))),
inference(superposition,[],[f3187,f924]) ).
fof(f3307,plain,
! [X2,X3,X0,X1] : inverse(multiply(X3,multiply(inverse(X3),inverse(X1)))) = multiply(inverse(inverse(X0)),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,inverse(X0)))),X2))),
inference(superposition,[],[f685,f3187]) ).
fof(f3340,plain,
! [X0,X4] : inverse(X4) = multiply(inverse(X4),inverse(multiply(X0,inverse(X0)))),
inference(forward_demodulation,[],[f3295,f924]) ).
fof(f3361,plain,
( ! [X2,X3,X0,X1] : inverse(X2) = multiply(inverse(X2),inverse(multiply(multiply(X3,multiply(inverse(X3),inverse(X0))),multiply(X0,multiply(X1,inverse(X1))))))
| ~ spl4_3 ),
inference(backward_demodulation,[],[f2443,f3340]) ).
fof(f3369,plain,
( ! [X2,X0,X1] : multiply(X2,X1) = inverse(multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),inverse(X2))))
| ~ spl4_3 ),
inference(backward_demodulation,[],[f3158,f3361]) ).
fof(f3403,plain,
( ! [X2,X1,X5] : inverse(X1) = multiply(inverse(X1),multiply(multiply(multiply(X2,X5),inverse(X5)),inverse(X2)))
| ~ spl4_3 ),
inference(backward_demodulation,[],[f1807,f3369]) ).
fof(f3413,plain,
( ! [X2,X3,X1,X4,X5] : multiply(inverse(X2),multiply(multiply(multiply(X2,multiply(X3,inverse(X4))),multiply(X4,multiply(X5,multiply(inverse(X5),inverse(X1))))),X1)) = X3
| ~ spl4_3 ),
inference(backward_demodulation,[],[f494,f3369]) ).
fof(f3609,plain,
( ! [X2,X3,X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,inverse(X0)))),X2))) = multiply(multiply(X1,X3),inverse(X3))
| ~ spl4_3 ),
inference(superposition,[],[f685,f3403]) ).
fof(f3653,plain,
( ! [X0,X1] : multiply(X0,a1) = inverse(multiply(X1,multiply(multiply(inverse(X1),sF0),inverse(X0))))
| ~ spl4_3 ),
inference(superposition,[],[f3369,f30]) ).
fof(f3660,plain,
( ! [X2,X3,X0,X1,X4] : inverse(multiply(X0,multiply(inverse(X0),inverse(X1)))) = multiply(X1,multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X4))),multiply(X4,X3)))
| ~ spl4_3 ),
inference(superposition,[],[f3369,f924]) ).
fof(f3687,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X5,multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,X2))),inverse(X3))))) = multiply(multiply(multiply(X3,multiply(X1,inverse(X4))),multiply(X4,multiply(X2,multiply(inverse(X5),inverse(X6))))),X6)
| ~ spl4_3 ),
inference(superposition,[],[f3369,f91]) ).
fof(f3696,plain,
( ! [X2,X3,X0,X1,X4] : inverse(multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(X4,X0)))))) = multiply(X1,multiply(X2,X4))
| ~ spl4_3 ),
inference(superposition,[],[f3369,f91]) ).
fof(f3697,plain,
( ! [X2,X0,X1] : inverse(X0) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X2))
| ~ spl4_3 ),
inference(superposition,[],[f3369,f141]) ).
fof(f3746,plain,
( ! [X3,X0,X1,X4,X5] : multiply(X0,X1) = multiply(multiply(X0,X1),inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),inverse(X5))),multiply(X5,X4))))
| ~ spl4_3 ),
inference(superposition,[],[f924,f3369]) ).
fof(f3768,plain,
( ! [X2,X0,X1] : multiply(a1,sF0) = multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X1)),inverse(X0))),multiply(X0,X1))
| ~ spl4_3 ),
inference(superposition,[],[f1808,f3369]) ).
fof(f3825,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,X1),inverse(multiply(a1,sF0)))
| ~ spl4_3 ),
inference(forward_demodulation,[],[f3746,f3768]) ).
fof(f3879,plain,
( ! [X0,X1] : inverse(multiply(X0,multiply(inverse(X0),inverse(X1)))) = multiply(X1,multiply(a1,sF0))
| ~ spl4_3 ),
inference(forward_demodulation,[],[f3660,f3768]) ).
fof(f3883,plain,
( ! [X3,X0,X1,X4] : multiply(inverse(X1),multiply(multiply(multiply(X1,multiply(X3,inverse(X4))),multiply(X4,multiply(X0,multiply(inverse(X0),sF0)))),a1)) = X3
| ~ spl4_3 ),
inference(backward_demodulation,[],[f1551,f3653]) ).
fof(f3932,plain,
( ! [X2,X0,X1] : multiply(X1,multiply(a1,sF0)) = multiply(inverse(inverse(X0)),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,inverse(X0)))),X2)))
| ~ spl4_3 ),
inference(backward_demodulation,[],[f3307,f3879]) ).
fof(f3961,plain,
( ! [X3,X1] : multiply(X1,multiply(a1,sF0)) = multiply(multiply(X1,X3),inverse(X3))
| ~ spl4_3 ),
inference(backward_demodulation,[],[f3609,f3932]) ).
fof(f4028,plain,
( ! [X0] : multiply(X0,inverse(multiply(a1,sF0))) = X0
| ~ spl4_3 ),
inference(superposition,[],[f3825,f685]) ).
fof(f4111,plain,
( ! [X0,X1] : multiply(X1,inverse(multiply(X0,inverse(X0)))) = X1
| ~ spl4_3 ),
inference(superposition,[],[f4028,f1808]) ).
fof(f4272,plain,
( ! [X2,X3,X0,X1,X4] : multiply(X1,inverse(multiply(X2,multiply(X3,multiply(X0,X1))))) = multiply(inverse(multiply(X4,inverse(X4))),inverse(multiply(X2,multiply(X3,X0))))
| ~ spl4_3 ),
inference(superposition,[],[f684,f4111]) ).
fof(f4308,plain,
( ! [X2,X3,X0,X1] : multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(X1,inverse(X1))),X2))))),inverse(X0))) = X2
| ~ spl4_3 ),
inference(superposition,[],[f141,f4111]) ).
fof(f4329,plain,
( ! [X2,X1] : inverse(inverse(multiply(inverse(multiply(X1,inverse(X1))),X2))) = X2
| ~ spl4_3 ),
inference(forward_demodulation,[],[f4308,f3697]) ).
fof(f4473,plain,
( ! [X2,X3,X0,X1] : multiply(X0,X2) = multiply(X1,inverse(multiply(inverse(X2),multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X0,multiply(a1,sF0)))),X1)))))
| ~ spl4_3 ),
inference(superposition,[],[f1,f3961]) ).
fof(f4608,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] : inverse(inverse(multiply(multiply(X3,multiply(X1,inverse(X4))),multiply(X4,multiply(X2,X5))))) = multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,X2))),inverse(X3))))),X5))
| ~ spl4_3 ),
inference(superposition,[],[f3697,f91]) ).
fof(f4609,plain,
( ! [X2,X3,X0,X1,X4,X5] : inverse(inverse(multiply(multiply(X2,X1),multiply(X3,multiply(inverse(X3),X4))))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),inverse(X2))))),X4))
| ~ spl4_3 ),
inference(superposition,[],[f3697,f1739]) ).
fof(f4690,plain,
( ! [X0,X1] : inverse(inverse(X0)) = multiply(X1,multiply(inverse(X1),X0))
| ~ spl4_3 ),
inference(superposition,[],[f3369,f3697]) ).
fof(f4704,plain,
( ! [X2,X3,X0,X1,X4] : multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X0))),X1))))) = multiply(X4,inverse(multiply(X2,inverse(X0))))
| ~ spl4_3 ),
inference(superposition,[],[f684,f3697]) ).
fof(f4758,plain,
( ! [X2,X0] : multiply(X0,X2) = multiply(X0,inverse(multiply(inverse(X2),inverse(multiply(a1,sF0)))))
| ~ spl4_3 ),
inference(backward_demodulation,[],[f4473,f4704]) ).
fof(f4807,plain,
( ! [X2,X3,X1,X4,X5] : inverse(inverse(multiply(multiply(X2,X1),multiply(X3,multiply(inverse(X3),X4))))) = multiply(X5,multiply(multiply(inverse(X5),multiply(X2,X1)),X4))
| ~ spl4_3 ),
inference(forward_demodulation,[],[f4609,f3369]) ).
fof(f4808,plain,
( ! [X2,X3,X1,X6,X4,X5] : inverse(inverse(multiply(multiply(X3,multiply(X1,inverse(X4))),multiply(X4,multiply(X2,X5))))) = multiply(X6,multiply(multiply(inverse(X6),multiply(X3,multiply(X1,X2))),X5))
| ~ spl4_3 ),
inference(forward_demodulation,[],[f4608,f3369]) ).
fof(f4819,plain,
( ! [X2,X0] : multiply(X0,X2) = multiply(X0,inverse(inverse(X2)))
| ~ spl4_3 ),
inference(forward_demodulation,[],[f4758,f4028]) ).
fof(f4922,plain,
( ! [X2,X3,X0,X1] : multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X1)),inverse(X0)))) = multiply(X2,inverse(multiply(X0,X1)))
| ~ spl4_3 ),
inference(superposition,[],[f4819,f3369]) ).
fof(f4985,plain,
( ! [X2,X3,X0,X1,X4,X5] : inverse(inverse(X3)) = multiply(X4,inverse(multiply(inverse(multiply(X2,multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,X2))),X3)))),multiply(X5,multiply(multiply(inverse(X5),inverse(X1)),X4)))))
| ~ spl4_3 ),
inference(superposition,[],[f12,f4819]) ).
fof(f5005,plain,
( ! [X3] : inverse(inverse(X3)) = X3
| ~ spl4_3 ),
inference(forward_demodulation,[],[f4985,f12]) ).
fof(f5032,plain,
( ! [X2,X0,X1,X4] : multiply(X4,X0) = multiply(X1,multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(X4,multiply(X0,X2)))))))
| ~ spl4_3 ),
inference(backward_demodulation,[],[f1172,f4922]) ).
fof(f5059,plain,
( ! [X2,X3,X1,X6,X4,X5] : multiply(multiply(multiply(X3,multiply(X1,inverse(X4))),multiply(X4,multiply(X2,multiply(inverse(X5),inverse(X6))))),X6) = inverse(multiply(X5,inverse(multiply(X3,multiply(X1,X2)))))
| ~ spl4_3 ),
inference(backward_demodulation,[],[f3687,f4922]) ).
fof(f5379,plain,
( ! [X2,X1] : multiply(inverse(multiply(X1,inverse(X1))),X2) = X2
| ~ spl4_3 ),
inference(backward_demodulation,[],[f4329,f5005]) ).
fof(f5390,plain,
( ! [X2,X3,X1,X6,X4,X5] : multiply(multiply(X3,multiply(X1,inverse(X4))),multiply(X4,multiply(X2,X5))) = multiply(X6,multiply(multiply(inverse(X6),multiply(X3,multiply(X1,X2))),X5))
| ~ spl4_3 ),
inference(backward_demodulation,[],[f4808,f5005]) ).
fof(f5391,plain,
( ! [X2,X3,X1,X4,X5] : multiply(multiply(X2,X1),multiply(X3,multiply(inverse(X3),X4))) = multiply(X5,multiply(multiply(inverse(X5),multiply(X2,X1)),X4))
| ~ spl4_3 ),
inference(backward_demodulation,[],[f4807,f5005]) ).
fof(f5395,plain,
( ! [X0,X1] : multiply(X1,multiply(inverse(X1),X0)) = X0
| ~ spl4_3 ),
inference(backward_demodulation,[],[f4690,f5005]) ).
fof(f5422,plain,
( ! [X2,X3,X5] : multiply(inverse(X2),inverse(multiply(X5,inverse(multiply(X2,multiply(X3,X5)))))) = X3
| ~ spl4_3 ),
inference(backward_demodulation,[],[f3413,f5059]) ).
fof(f5609,plain,
( ! [X2,X3,X0,X1] : multiply(X1,X0) = inverse(multiply(multiply(X2,inverse(multiply(X3,multiply(X1,multiply(X0,X2))))),X3))
| ~ spl4_3 ),
inference(backward_demodulation,[],[f1456,f5395]) ).
fof(f5613,plain,
( ! [X2,X0,X4] : multiply(X4,X0) = inverse(multiply(X2,inverse(multiply(X4,multiply(X0,X2)))))
| ~ spl4_3 ),
inference(backward_demodulation,[],[f5032,f5395]) ).
fof(f5674,plain,
( ! [X3,X1,X4] : multiply(inverse(X1),multiply(multiply(multiply(X1,multiply(X3,inverse(X4))),multiply(X4,sF0)),a1)) = X3
| ~ spl4_3 ),
inference(backward_demodulation,[],[f3883,f5395]) ).
fof(f5719,plain,
( ! [X2,X1,X4,X5] : multiply(X5,multiply(multiply(inverse(X5),multiply(X2,X1)),X4)) = multiply(multiply(X2,X1),X4)
| ~ spl4_3 ),
inference(forward_demodulation,[],[f5391,f5395]) ).
fof(f5727,plain,
( ! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(X2,multiply(X3,multiply(X0,X1))))) = inverse(multiply(X2,multiply(X3,X0)))
| ~ spl4_3 ),
inference(backward_demodulation,[],[f4272,f5379]) ).
fof(f5929,plain,
( ! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3
| ~ spl4_3 ),
inference(backward_demodulation,[],[f5422,f5613]) ).
fof(f5956,plain,
( ! [X2] : multiply(sF2,multiply(b1,X2)) = X2
| ~ spl4_3
| ~ spl4_4 ),
inference(backward_demodulation,[],[f1394,f5609]) ).
fof(f6390,plain,
( ! [X2,X3,X1,X4,X5] : multiply(multiply(X3,multiply(X1,inverse(X4))),multiply(X4,multiply(X2,X5))) = multiply(multiply(X3,multiply(X1,X2)),X5)
| ~ spl4_3 ),
inference(backward_demodulation,[],[f5390,f5719]) ).
fof(f6589,plain,
( ! [X2,X3,X1,X4] : multiply(X1,multiply(X2,X4)) = inverse(inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,X4))))
| ~ spl4_3 ),
inference(backward_demodulation,[],[f3696,f5727]) ).
fof(f6805,plain,
( ! [X2,X0,X1] : multiply(inverse(X0),inverse(inverse(multiply(multiply(X0,multiply(X1,inverse(X2))),multiply(X2,sF3))))) = X1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4 ),
inference(backward_demodulation,[],[f172,f5956]) ).
fof(f7553,plain,
( ! [X2,X3,X1,X4] : multiply(X1,multiply(X2,X4)) = multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,X4))
| ~ spl4_3 ),
inference(forward_demodulation,[],[f6589,f5005]) ).
fof(f7886,plain,
( ! [X2,X0,X1] : multiply(inverse(X0),multiply(multiply(X0,multiply(X1,inverse(X2))),multiply(X2,sF3))) = X1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4 ),
inference(forward_demodulation,[],[f6805,f5005]) ).
fof(f8626,plain,
( ! [X2,X3,X1,X5] : multiply(multiply(X3,multiply(X1,X2)),X5) = multiply(X3,multiply(X1,multiply(X2,X5)))
| ~ spl4_3 ),
inference(backward_demodulation,[],[f6390,f7553]) ).
fof(f8627,plain,
( ! [X3,X1] : multiply(inverse(X1),multiply(multiply(X1,multiply(X3,sF0)),a1)) = X3
| ~ spl4_3 ),
inference(backward_demodulation,[],[f5674,f7553]) ).
fof(f8913,plain,
( ! [X0,X1] : multiply(inverse(X0),multiply(X0,multiply(X1,sF3))) = X1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4 ),
inference(forward_demodulation,[],[f7886,f7553]) ).
fof(f9603,plain,
( ! [X3,X1] : multiply(inverse(X1),multiply(X1,multiply(X3,multiply(sF0,a1)))) = X3
| ~ spl4_3 ),
inference(backward_demodulation,[],[f8627,f8626]) ).
fof(f9858,plain,
( ! [X1] : multiply(X1,sF3) = X1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4 ),
inference(forward_demodulation,[],[f8913,f5929]) ).
fof(f10470,plain,
( ! [X3] : multiply(X3,multiply(sF0,a1)) = X3
| ~ spl4_3 ),
inference(forward_demodulation,[],[f9603,f5929]) ).
fof(f11242,plain,
( ! [X3] : multiply(X3,sF1) = X3
| ~ spl4_1
| ~ spl4_3 ),
inference(forward_demodulation,[],[f10470,f18]) ).
fof(f15270,plain,
( ! [X0] : sF3 = multiply(inverse(X0),X0)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4 ),
inference(superposition,[],[f5929,f9858]) ).
fof(f15290,plain,
( ! [X0] : sF1 = multiply(inverse(X0),X0)
| ~ spl4_1
| ~ spl4_3 ),
inference(superposition,[],[f5929,f11242]) ).
fof(f15292,plain,
( sF1 = sF3
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4 ),
inference(forward_demodulation,[],[f15290,f15270]) ).
fof(f15293,plain,
( $false
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f15292,f40]) ).
fof(f15294,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5 ),
inference(avatar_contradiction_clause,[],[f15293]) ).
cnf(s1,plain,
spl4_1,
inference(sat_conversion,[],[f19]) ).
cnf(s2,plain,
spl4_2,
inference(sat_conversion,[],[f24]) ).
cnf(s3,plain,
spl4_3,
inference(sat_conversion,[],[f31]) ).
cnf(s4,plain,
spl4_4,
inference(sat_conversion,[],[f36]) ).
cnf(s5,plain,
~ spl4_5,
inference(sat_conversion,[],[f41]) ).
cnf(s6,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5 ),
inference(sat_conversion,[],[f15294]) ).
cnf(s7,plain,
~ spl4_1,
inference(rat,[],[s6,s5,s4,s3,s2]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s7]) ).
fof(f15295,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP436-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:07:26 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 5.56/2.71 % (2594191)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.56/2.71 % (2594201)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2756666532:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.56/2.71 % (2594196)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=1390688969:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.56/2.71 % (2594202)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=565939963:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.56/2.71 % (2594197)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=3378068207:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.56/2.71 % (2594198)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=542863099:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.56/2.71 % (2594199)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1824146583:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.56/2.71 % (2594200)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1623831309:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.56/2.71 % (2594201)Instruction limit reached!
% 5.56/2.71 % (2594201)------------------------------
% 5.56/2.71 % (2594201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/2.71 % (2594201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/2.71 % (2594201)CaDiCaL version: 2.1.3
% 5.56/2.71 % (2594201)Termination reason: Instruction limit
% 5.56/2.71 % (2594201)Termination phase: Saturation
% 5.56/2.71 % (2594201)Time elapsed: 0.085 s
% 5.56/2.71 % (2594201)Peak memory usage: 91 MB
% 5.56/2.71 % (2594201)Instructions burned: 259 (million)
% 5.56/2.71 % (2594199)Instruction limit reached!
% 5.56/2.71 % (2594199)------------------------------
% 5.56/2.71 % (2594199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/2.71 % (2594199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/2.71 % (2594199)CaDiCaL version: 2.1.3
% 5.56/2.71 % (2594199)Termination reason: Instruction limit
% 5.56/2.71 % (2594199)Termination phase: Saturation
% 5.56/2.71 % (2594199)Time elapsed: 0.081 s
% 5.56/2.71 % (2594199)Peak memory usage: 89 MB
% 5.56/2.71 % (2594199)Instructions burned: 138 (million)
% 5.56/2.71 % (2594200)Instruction limit reached!
% 5.56/2.71 % (2594200)------------------------------
% 5.56/2.71 % (2594200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/2.71 % (2594200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/2.71 % (2594200)CaDiCaL version: 2.1.3
% 5.56/2.71 % (2594200)Termination reason: Instruction limit
% 5.56/2.71 % (2594200)Termination phase: Saturation
% 5.56/2.71 % (2594200)Time elapsed: 0.095 s
% 5.56/2.71 % (2594200)Peak memory usage: 89 MB
% 5.56/2.71 % (2594200)Instructions burned: 183 (million)
% 5.56/2.71 % (2594210)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3719531828:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 5.56/2.71 % (2594211)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=584652119:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 5.56/2.71 % (2594212)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1307769950:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 5.56/2.71 % (2594212)Instruction limit reached!
% 5.56/2.71 % (2594212)------------------------------
% 5.56/2.71 % (2594212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/2.71 % (2594212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/2.71 % (2594212)CaDiCaL version: 2.1.3
% 5.56/2.71 % (2594212)Termination reason: Instruction limit
% 5.56/2.71 % (2594212)Termination phase: Saturation
% 5.56/2.71 % (2594212)Time elapsed: 0.126 s
% 5.56/2.71 % (2594212)Peak memory usage: 90 MB
% 5.56/2.71 % (2594212)Instructions burned: 216 (million)
% 5.56/2.71 % (2594216)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=3550873121: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)
% 5.56/2.71 % (2594202)Instruction limit reached!
% 5.56/2.71 % (2594202)------------------------------
% 5.56/2.71 % (2594202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/2.71 % (2594202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/2.71 % (2594202)CaDiCaL version: 2.1.3
% 5.56/2.71 % (2594202)Termination reason: Instruction limit
% 5.56/2.71 % (2594202)Termination phase: Saturation
% 5.56/2.71 % (2594202)Time elapsed: 0.631 s
% 5.56/2.71 % (2594202)Peak memory usage: 98 MB
% 5.56/2.71 % (2594202)Instructions burned: 1189 (million)
% 5.56/2.71 % (2594216)Instruction limit reached!
% 5.56/2.71 % (2594216)------------------------------
% 5.56/2.71 % (2594216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/2.71 % (2594216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/2.71 % (2594216)CaDiCaL version: 2.1.3
% 5.56/2.71 % (2594216)Termination reason: Instruction limit
% 5.56/2.71 % (2594216)Termination phase: Saturation
% 5.56/2.71 % (2594216)Time elapsed: 0.175 s
% 5.56/2.71 % (2594216)Peak memory usage: 94 MB
% 5.56/2.71 % (2594216)Instructions burned: 317 (million)
% 5.56/2.71 % (2594218)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=3298496813:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 5.56/2.71 % (2594219)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2098090879:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 5.56/2.71 % (2594210)Instruction limit reached!
% 5.56/2.71 % (2594210)------------------------------
% 5.56/2.71 % (2594210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/2.71 % (2594210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/2.71 % (2594210)CaDiCaL version: 2.1.3
% 5.56/2.71 % (2594210)Termination reason: Instruction limit
% 5.56/2.71 % (2594210)Termination phase: Saturation
% 5.56/2.71 % (2594210)Time elapsed: 1.005 s
% 5.56/2.71 % (2594210)Peak memory usage: 140 MB
% 5.56/2.71 % (2594210)Instructions burned: 2052 (million)
% 5.56/2.71 % (2594222)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3137507555:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2987 on theBenchmark for (2987ds/14534Mi)
% 5.56/2.71 % (2594196)First to succeed.
% 5.56/2.71 % (2594196)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2594191"
% 5.56/2.71 % (2594196)Refutation found. Thanks to Tanya!
% 5.56/2.71 % SZS status Unsatisfiable for theBenchmark
% 5.56/2.71 % SZS output start Proof for theBenchmark
% See solution above
% 13.70/2.81 % (2594196)------------------------------
% 13.70/2.81 % (2594196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/2.81 % (2594196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/2.81 % (2594196)CaDiCaL version: 2.1.3
% 13.70/2.81 % (2594196)Termination reason: Refutation
% 13.70/2.81 % (2594196)Time elapsed: 1.557 s
% 13.70/2.81 % (2594196)Peak memory usage: 154 MB
% 13.70/2.81 % (2594196)Instructions burned: 4152 (million)
% 13.70/2.81 % (2594196)------------------------------
% 13.70/2.81 % (2594196)------------------------------
% 13.70/2.81 % (2594191)Success in time 1.857 s
% 13.70/2.81 % Vampire exiting
%------------------------------------------------------------------------------