%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT015-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 11:47:40 AM UTC 2026
% Result : Unsatisfiable 188.21s 32.97s
% Output : Refutation 188.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 10
% Syntax : Number of formulae : 227 ( 195 unt; 8 def)
% Number of atoms : 283 ( 213 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 100 ( 44 ~; 48 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 18 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 9 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 549 ( 0 sgn 549 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(join(meet(X1,meet(meet(join(X3,join(X1,X4)),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X3,join(X1,X4)),join(X5,X1)),X1)))),join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
( meet(a,a) != a
| meet(a,b) != meet(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c))
| join(a,a) != a
| join(a,b) != join(b,a)
| join(join(a,b),c) != join(a,join(b,c))
| meet(a,join(a,b)) != a
| join(a,meet(a,b)) != a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms) ).
fof(f3,plain,
( a != meet(a,a)
| meet(a,b) != meet(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c))
| a != join(a,a)
| join(a,b) != join(b,a)
| join(join(a,b),c) != join(a,join(b,c))
| a != meet(a,join(a,b))
| a != join(a,meet(a,b)) ),
inference(reorient_equations,[],[f2]) ).
fof(f5,definition,
( spl0_1
<=> a = join(a,meet(a,b)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f7,plain,
( a != join(a,meet(a,b))
| spl0_1 ),
inference(avatar_component_clause,[],[f5]) ).
fof(f9,definition,
( spl0_2
<=> a = meet(a,join(a,b)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f11,plain,
( a != meet(a,join(a,b))
| spl0_2 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f13,definition,
( spl0_3
<=> join(join(a,b),c) = join(a,join(b,c)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f15,plain,
( join(join(a,b),c) != join(a,join(b,c))
| spl0_3 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f17,definition,
( spl0_4
<=> join(a,b) = join(b,a) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f19,plain,
( join(a,b) != join(b,a)
| spl0_4 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f21,definition,
( spl0_5
<=> a = join(a,a) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f23,plain,
( a != join(a,a)
| spl0_5 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f25,definition,
( spl0_6
<=> meet(meet(a,b),c) = meet(a,meet(b,c)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f27,plain,
( meet(meet(a,b),c) != meet(a,meet(b,c))
| spl0_6 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f29,definition,
( spl0_7
<=> meet(a,b) = meet(b,a) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f31,plain,
( meet(a,b) != meet(b,a)
| spl0_7 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f33,definition,
( spl0_8
<=> a = meet(a,a) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f35,plain,
( a != meet(a,a)
| spl0_8 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f36,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f3,f33,f29,f25,f21,f17,f13,f9,f5]) ).
fof(f39,plain,
! [X2,X3,X0,X1,X4,X5] : join(meet(X2,X0),meet(X0,join(X2,X0))) = join(meet(join(meet(X1,join(meet(X2,X0),meet(X0,join(X2,X0)))),meet(join(meet(X2,X0),meet(X0,join(X2,X0))),join(X1,join(meet(X2,X0),meet(X0,join(X2,X0)))))),X3),meet(join(meet(X1,join(join(meet(X4,join(meet(X2,X0),meet(X0,join(X2,X0)))),meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X5)),join(meet(X2,X0),meet(X0,join(X2,X0))))),meet(X0,join(X1,join(join(meet(X4,join(meet(X2,X0),meet(X0,join(X2,X0)))),meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X5)),join(meet(X2,X0),meet(X0,join(X2,X0))))))),join(join(meet(X1,join(meet(X2,X0),meet(X0,join(X2,X0)))),meet(join(meet(X2,X0),meet(X0,join(X2,X0))),join(X1,join(meet(X2,X0),meet(X0,join(X2,X0)))))),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f47,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : join(meet(join(meet(X6,X0),meet(X0,join(X6,X0))),X7),meet(join(meet(X6,join(join(meet(X8,X0),meet(X0,X9)),X0)),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),join(X6,join(join(meet(X8,X0),meet(X0,X9)),X0)))),join(join(meet(X6,X0),meet(X0,join(X6,X0))),X7))) = X0,
inference(superposition,[],[f39,f1]) ).
fof(f70,plain,
! [X2,X0,X1] : join(meet(join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),X0),meet(X0,join(join(meet(X1,X0),meet(X0,join(X1,X0))),X0))),X2),meet(X0,join(join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),X0),meet(X0,join(join(meet(X1,X0),meet(X0,join(X1,X0))),X0))),X2))) = X0,
inference(superposition,[],[f47,f1]) ).
fof(f94,plain,
! [X2,X0] : join(meet(X0,X2),meet(X0,join(X0,X2))) = X0,
inference(superposition,[],[f70,f70]) ).
fof(f98,plain,
! [X2,X3,X0,X4,X5] : join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X3),meet(join(meet(X2,join(join(meet(X4,X0),meet(X0,X5)),X0)),meet(X0,join(X2,join(join(meet(X4,X0),meet(X0,X5)),X0)))),join(join(meet(X2,X0),meet(X0,join(X2,X0))),X3))) = X0,
inference(superposition,[],[f39,f70]) ).
fof(f120,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0)),
inference(superposition,[],[f94,f94]) ).
fof(f198,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = join(meet(X0,X6),meet(join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(X7,join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0))))),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),X8)),join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))))),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),join(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(X7,join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0))))),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),X8)),join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))))))),join(X0,X6))),
inference(superposition,[],[f98,f1]) ).
fof(f200,plain,
! [X2,X3,X0,X1,X6,X4,X5] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = join(meet(X0,X4),meet(join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(X5,join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0))))),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),X6)),join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))))),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),join(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(X5,join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0))))),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),X6)),join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))))))),join(X0,X4))),
inference(superposition,[],[f98,f98]) ).
fof(f228,plain,
! [X2,X3,X0,X1,X4] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = join(meet(X0,X4),meet(X0,join(X0,X4))),
inference(forward_demodulation,[],[f200,f98]) ).
fof(f230,plain,
! [X2,X3,X0,X1,X6,X4,X5] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = join(meet(X0,X6),meet(X0,join(X0,X6))),
inference(forward_demodulation,[],[f198,f1]) ).
fof(f237,plain,
! [X2,X3,X0,X1] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = X0,
inference(forward_demodulation,[],[f228,f94]) ).
fof(f239,plain,
! [X2,X3,X0,X1,X4,X5] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = X0,
inference(forward_demodulation,[],[f230,f94]) ).
fof(f248,plain,
! [X0,X1] : join(meet(X1,join(X0,X0)),meet(X0,join(X1,join(X0,X0)))) = X0,
inference(superposition,[],[f237,f70]) ).
fof(f267,plain,
! [X2,X3,X0,X1] : meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)) = join(meet(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),meet(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),X0)),
inference(superposition,[],[f94,f237]) ).
fof(f525,plain,
! [X2,X3,X0,X1,X4] : join(meet(X0,meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0)))) = X0,
inference(superposition,[],[f239,f70]) ).
fof(f602,plain,
! [X0,X1] : join(meet(X1,X0),meet(X0,join(X1,X0))) = X0,
inference(superposition,[],[f525,f1]) ).
fof(f692,plain,
! [X2,X3,X0,X1] : meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0) = X0,
inference(superposition,[],[f602,f525]) ).
fof(f824,plain,
! [X0,X4] : join(meet(X0,X0),meet(X4,join(X0,X0))) = X0,
inference(superposition,[],[f525,f692]) ).
fof(f832,plain,
! [X2,X3,X0,X1] : join(meet(X0,meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0)),join(X0,meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0))) = X0,
inference(superposition,[],[f525,f692]) ).
fof(f897,plain,
! [X0] : join(meet(X0,X0),join(X0,X0)) = X0,
inference(forward_demodulation,[],[f832,f692]) ).
fof(f941,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(superposition,[],[f692,f897]) ).
fof(f1117,plain,
! [X2,X0,X1] : join(join(meet(X1,X0),meet(X0,X2)),X0) = X0,
inference(superposition,[],[f824,f237]) ).
fof(f1118,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f824,f248]) ).
fof(f1234,plain,
! [X0] : join(meet(X0,X0),meet(X0,X0)) = X0,
inference(superposition,[],[f602,f1118]) ).
fof(f1235,plain,
! [X2,X0,X1] : meet(meet(join(X1,X0),join(X2,X0)),X0) = X0,
inference(superposition,[],[f692,f1118]) ).
fof(f1236,plain,
! [X2,X0,X1] : meet(meet(join(X1,join(X0,X2)),X0),X0) = X0,
inference(superposition,[],[f692,f1118]) ).
fof(f1240,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(superposition,[],[f692,f1118]) ).
fof(f1294,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f1234,f1118]) ).
fof(f1334,plain,
! [X0,X1] : join(X0,meet(X1,join(X0,X0))) = X0,
inference(superposition,[],[f824,f1294]) ).
fof(f1435,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[],[f1334,f1118]) ).
fof(f1743,plain,
! [X0,X4] : join(join(X0,meet(X0,X4)),X0) = X0,
inference(superposition,[],[f1117,f692]) ).
fof(f1760,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(superposition,[],[f1117,f1435]) ).
fof(f1974,plain,
! [X0,X1] : meet(X1,X0) = join(meet(meet(X1,X0),X0),meet(meet(X1,X0),X0)),
inference(superposition,[],[f94,f1760]) ).
fof(f2032,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(forward_demodulation,[],[f1974,f1118]) ).
fof(f2120,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = join(meet(join(X0,meet(X0,X1)),X0),meet(join(X0,meet(X0,X1)),X0)),
inference(superposition,[],[f94,f1743]) ).
fof(f2178,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = meet(join(X0,meet(X0,X1)),X0),
inference(forward_demodulation,[],[f2120,f1118]) ).
fof(f2475,plain,
! [X2,X3,X0,X1,X4,X5] : meet(X4,join(X0,meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0))) = meet(meet(X0,join(X5,meet(X4,join(X0,meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0))))),meet(X4,join(X0,meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0)))),
inference(superposition,[],[f1235,f525]) ).
fof(f2501,plain,
! [X2,X3,X0,X1,X4,X5] : meet(X2,join(X0,meet(meet(join(X3,join(X0,X4)),join(X5,X0)),X0))) = meet(meet(join(X1,meet(X2,join(X0,meet(meet(join(X3,join(X0,X4)),join(X5,X0)),X0)))),X0),meet(X2,join(X0,meet(meet(join(X3,join(X0,X4)),join(X5,X0)),X0)))),
inference(superposition,[],[f1235,f525]) ).
fof(f2510,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(superposition,[],[f1235,f1294]) ).
fof(f2604,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(meet(join(X1,meet(X2,X0)),X0),meet(X2,X0)),
inference(forward_demodulation,[],[f2501,f1435]) ).
fof(f2621,plain,
! [X0,X4,X5] : meet(X4,X0) = meet(meet(X0,join(X5,meet(X4,X0))),meet(X4,X0)),
inference(forward_demodulation,[],[f2475,f1435]) ).
fof(f2729,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(superposition,[],[f2510,f1435]) ).
fof(f2773,plain,
! [X2,X0,X1] : join(X2,X0) = join(join(meet(X1,join(X2,X0)),X0),join(X2,X0)),
inference(superposition,[],[f1117,f2510]) ).
fof(f3130,plain,
! [X2,X0,X1] : meet(join(X1,join(X0,X2)),X0) = X0,
inference(forward_demodulation,[],[f1236,f2032]) ).
fof(f3146,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(join(X1,X0),meet(X0,X2)),
inference(superposition,[],[f3130,f94]) ).
fof(f3147,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(join(X1,X0),meet(X2,X0)),
inference(superposition,[],[f3130,f602]) ).
fof(f3160,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(superposition,[],[f3130,f1118]) ).
fof(f3330,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f3160,f94]) ).
fof(f3383,plain,
! [X2,X0,X1] : join(X0,X2) = join(join(meet(X1,join(X0,X2)),X0),join(X0,X2)),
inference(superposition,[],[f1117,f3160]) ).
fof(f3685,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,join(X2,meet(X0,X1))),meet(X0,X1)),
inference(superposition,[],[f1240,f94]) ).
fof(f3730,plain,
! [X2,X3,X0,X1] : meet(join(X0,X1),join(join(meet(X2,X0),meet(X0,X3)),X0)) = join(meet(meet(join(X0,X1),join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(join(X0,X1),join(join(meet(X2,X0),meet(X0,X3)),X0)))),X0),
inference(superposition,[],[f267,f1240]) ).
fof(f3815,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(meet(meet(join(X0,X1),X0),meet(X0,join(join(X0,X1),X0))),X0),
inference(forward_demodulation,[],[f3730,f1117]) ).
fof(f3880,plain,
! [X0,X1] : join(meet(X0,meet(X0,join(join(X0,X1),X0))),X0) = X0,
inference(forward_demodulation,[],[f3815,f3160]) ).
fof(f3911,plain,
! [X0,X1] : join(meet(X0,join(join(X0,X1),X0)),X0) = X0,
inference(forward_demodulation,[],[f3880,f3330]) ).
fof(f3973,plain,
! [X2,X0,X1] : meet(join(X2,join(X1,X0)),X0) = X0,
inference(superposition,[],[f3146,f2510]) ).
fof(f4402,plain,
! [X2,X3,X0,X1] : meet(X0,X1) = meet(join(X3,join(X2,X1)),meet(X0,X1)),
inference(superposition,[],[f3146,f3147]) ).
fof(f4523,plain,
! [X0,X1] : meet(X0,join(join(X0,X1),X0)) = join(meet(meet(X0,join(join(X0,X1),X0)),X0),meet(meet(X0,join(join(X0,X1),X0)),X0)),
inference(superposition,[],[f94,f3911]) ).
fof(f4596,plain,
! [X0,X1] : meet(X0,join(join(X0,X1),X0)) = meet(meet(X0,join(join(X0,X1),X0)),X0),
inference(forward_demodulation,[],[f4523,f1118]) ).
fof(f4649,plain,
! [X0,X1] : meet(X0,join(join(X0,X1),X0)) = X0,
inference(forward_demodulation,[],[f4596,f941]) ).
fof(f6922,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f2178,f3160]) ).
fof(f6934,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f6922,f3160]) ).
fof(f6941,plain,
! [X2,X0,X1] : join(X2,X0) = join(join(X2,X0),meet(X0,X1)),
inference(superposition,[],[f6922,f3146]) ).
fof(f6942,plain,
! [X2,X0,X1] : join(X2,X1) = join(join(X2,X1),meet(X0,X1)),
inference(superposition,[],[f6922,f3147]) ).
fof(f6955,plain,
! [X0,X1] : join(meet(X0,meet(X0,X1)),meet(X0,X0)) = X0,
inference(superposition,[],[f94,f6922]) ).
fof(f6957,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = join(meet(meet(X0,meet(X0,X1)),meet(X0,X0)),meet(meet(X0,meet(X0,X1)),X0)),
inference(superposition,[],[f120,f6922]) ).
fof(f6978,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(meet(X0,X1),X2)),
inference(superposition,[],[f3146,f6922]) ).
fof(f6979,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(X0,meet(X1,meet(X0,X2))),
inference(superposition,[],[f3147,f6922]) ).
fof(f7003,plain,
( a != a
| spl0_1 ),
inference(superposition,[],[f7,f6922]) ).
fof(f7004,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f7003]) ).
fof(f7005,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f7004]) ).
fof(f7030,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),meet(X0,X0)),meet(meet(X0,X1),X0)),
inference(forward_demodulation,[],[f6957,f3330]) ).
fof(f7032,plain,
! [X0,X1] : join(meet(X0,meet(X0,X1)),X0) = X0,
inference(forward_demodulation,[],[f6955,f1294]) ).
fof(f7059,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),X0),meet(meet(X0,X1),X0)),
inference(forward_demodulation,[],[f7030,f1294]) ).
fof(f7061,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f7032,f3330]) ).
fof(f7083,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(forward_demodulation,[],[f7059,f1118]) ).
fof(f7128,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(X0,join(X1,X0))),
inference(superposition,[],[f7061,f941]) ).
fof(f7137,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f7061,f2510]) ).
fof(f7140,plain,
! [X2,X0,X1] : join(X1,join(X2,X0)) = join(X0,join(X1,join(X2,X0))),
inference(superposition,[],[f7061,f3973]) ).
fof(f7143,plain,
! [X2,X0,X1] : join(X2,X0) = join(meet(X0,X1),join(X2,X0)),
inference(superposition,[],[f7061,f3146]) ).
fof(f7144,plain,
! [X2,X0,X1] : join(X2,X1) = join(meet(X0,X1),join(X2,X1)),
inference(superposition,[],[f7061,f3147]) ).
fof(f7272,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(forward_demodulation,[],[f7128,f6922]) ).
fof(f7747,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(superposition,[],[f4649,f6934]) ).
fof(f7802,plain,
! [X2,X0,X1] : meet(join(join(X0,X1),X2),X0) = X0,
inference(superposition,[],[f3130,f6934]) ).
fof(f7803,plain,
! [X2,X0,X1] : meet(join(join(X0,X1),X2),X1) = X1,
inference(superposition,[],[f3973,f6934]) ).
fof(f8111,plain,
( a != a
| spl0_2 ),
inference(superposition,[],[f11,f7747]) ).
fof(f8112,plain,
( $false
| spl0_2 ),
inference(trivial_inequality_removal,[],[f8111]) ).
fof(f8113,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f8112]) ).
fof(f8632,plain,
! [X2,X0,X1] : meet(X0,join(X1,join(X0,X2))) = X0,
inference(superposition,[],[f7083,f3130]) ).
fof(f9530,plain,
! [X2,X0,X1] : meet(X0,join(join(X0,X1),X2)) = X0,
inference(superposition,[],[f7083,f7802]) ).
fof(f11480,plain,
! [X2,X0,X1] : join(X0,meet(meet(X1,X0),X2)) = X0,
inference(superposition,[],[f6941,f1435]) ).
fof(f11483,plain,
! [X2,X0,X1] : join(X0,meet(meet(X0,X1),X2)) = X0,
inference(superposition,[],[f6941,f6922]) ).
fof(f11489,plain,
! [X2,X0,X1] : join(X0,X1) = join(join(X0,X1),meet(X0,X2)),
inference(superposition,[],[f6941,f6934]) ).
fof(f11981,plain,
! [X2,X0,X1] : join(X1,meet(X0,meet(X1,X2))) = X1,
inference(superposition,[],[f11483,f2729]) ).
fof(f12807,plain,
! [X2,X0,X1] : join(meet(X1,meet(X0,X2)),X0) = X0,
inference(superposition,[],[f7137,f11981]) ).
fof(f209836,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(meet(X0,X2),meet(meet(X1,X0),X2)),
inference(superposition,[],[f2604,f11480]) ).
fof(f209855,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(meet(join(X0,X1),X2),meet(X0,X2)),
inference(superposition,[],[f2604,f11489]) ).
fof(f209856,plain,
! [X2,X0,X1] : meet(X1,X2) = meet(meet(join(X0,X1),X2),meet(X1,X2)),
inference(superposition,[],[f2604,f6941]) ).
fof(f211498,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(join(X2,X0),X1)),
inference(superposition,[],[f7083,f209856]) ).
fof(f215464,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f2621,f6922]) ).
fof(f217000,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),meet(meet(X1,X0),join(meet(X1,X0),meet(X0,X1)))),meet(meet(X0,X1),meet(X1,X0))),
inference(superposition,[],[f120,f215464]) ).
fof(f217024,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(join(X2,meet(X1,X0)),meet(X0,X1)),
inference(superposition,[],[f3146,f215464]) ).
fof(f217031,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f6922,f215464]) ).
fof(f217034,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(meet(X1,X0),meet(meet(X0,X1),X2)),
inference(superposition,[],[f6978,f215464]) ).
fof(f217035,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(meet(X1,X0),meet(X2,meet(X0,X1))),
inference(superposition,[],[f6979,f215464]) ).
fof(f217036,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X0,X1),meet(X1,X0)),
inference(superposition,[],[f7061,f215464]) ).
fof(f217310,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),meet(meet(X1,X0),join(meet(X1,X0),meet(X0,X1)))),meet(X1,X0)),
inference(forward_demodulation,[],[f217000,f215464]) ).
fof(f217502,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[],[f217310,f12807]) ).
fof(f218698,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(join(X1,X2),X0),meet(X0,X1)),
inference(superposition,[],[f209855,f217502]) ).
fof(f218699,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(join(X2,X1),X0),meet(X0,X1)),
inference(superposition,[],[f209856,f217502]) ).
fof(f219208,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(join(X2,X1),X0)),
inference(forward_demodulation,[],[f218699,f217502]) ).
fof(f219209,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(join(X1,X2),X0)),
inference(forward_demodulation,[],[f218698,f217502]) ).
fof(f220239,plain,
! [X2,X0,X1] : meet(X0,X1) = join(meet(meet(X1,X0),X2),meet(X0,X1)),
inference(superposition,[],[f7143,f217031]) ).
fof(f220240,plain,
! [X2,X0,X1] : meet(X0,X1) = join(meet(X2,meet(X1,X0)),meet(X0,X1)),
inference(superposition,[],[f7144,f217031]) ).
fof(f220254,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(join(meet(X0,X1),X2),meet(X1,X0)),
inference(superposition,[],[f7803,f217031]) ).
fof(f220524,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X1,X0),join(meet(X0,X1),X2)),
inference(forward_demodulation,[],[f220254,f217502]) ).
fof(f223147,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),join(X2,meet(X1,X0))),
inference(forward_demodulation,[],[f217024,f217502]) ).
fof(f232866,plain,
! [X2,X3,X0,X1,X6,X4,X5] : meet(X1,X0) = join(meet(join(meet(X2,meet(X1,X0)),meet(meet(X1,X0),join(X2,meet(X1,X0)))),X3),meet(join(meet(X2,join(join(meet(X4,meet(X1,X0)),meet(meet(X1,X0),X5)),meet(X1,X0))),meet(join(meet(meet(X1,X0),meet(meet(join(X4,join(meet(X1,X0),X5)),join(X6,meet(X1,X0))),meet(X1,X0))),meet(X0,X1)),join(X2,join(join(meet(X4,meet(X1,X0)),meet(meet(X1,X0),X5)),meet(X1,X0))))),join(join(meet(X2,meet(X1,X0)),meet(meet(X1,X0),join(X2,meet(X1,X0)))),X3))),
inference(superposition,[],[f1,f220524]) ).
fof(f233254,plain,
! [X2,X3,X0,X1,X6,X4,X5] : meet(X1,X0) = join(meet(meet(X1,X0),X3),meet(join(meet(X2,join(join(meet(X4,meet(X1,X0)),meet(meet(X1,X0),X5)),meet(X1,X0))),meet(join(meet(meet(X1,X0),meet(meet(join(X4,join(meet(X1,X0),X5)),join(X6,meet(X1,X0))),meet(X1,X0))),meet(X0,X1)),join(X2,join(join(meet(X4,meet(X1,X0)),meet(meet(X1,X0),X5)),meet(X1,X0))))),join(meet(X1,X0),X3))),
inference(forward_demodulation,[],[f232866,f602]) ).
fof(f233524,plain,
! [X2,X3,X0,X1,X6,X4,X5] : meet(X1,X0) = join(meet(meet(X1,X0),X3),meet(join(meet(X2,meet(X1,X0)),meet(join(meet(meet(X1,X0),meet(meet(join(X4,join(meet(X1,X0),X5)),join(X6,meet(X1,X0))),meet(X1,X0))),meet(X0,X1)),join(X2,meet(X1,X0)))),join(meet(X1,X0),X3))),
inference(forward_demodulation,[],[f233254,f1117]) ).
fof(f233616,plain,
! [X2,X3,X0,X1] : meet(X1,X0) = join(meet(meet(X1,X0),X3),meet(join(meet(X2,meet(X1,X0)),meet(meet(X0,X1),join(X2,meet(X1,X0)))),join(meet(X1,X0),X3))),
inference(forward_demodulation,[],[f233524,f220239]) ).
fof(f233637,plain,
! [X2,X3,X0,X1] : meet(X1,X0) = join(meet(meet(X1,X0),X3),meet(join(meet(X2,meet(X1,X0)),meet(X0,X1)),join(meet(X1,X0),X3))),
inference(forward_demodulation,[],[f233616,f223147]) ).
fof(f233649,plain,
! [X3,X0,X1] : meet(X1,X0) = join(meet(meet(X1,X0),X3),meet(meet(X0,X1),join(meet(X1,X0),X3))),
inference(forward_demodulation,[],[f233637,f220240]) ).
fof(f233655,plain,
! [X3,X0,X1] : meet(X1,X0) = join(meet(meet(X1,X0),X3),meet(X0,X1)),
inference(forward_demodulation,[],[f233649,f220524]) ).
fof(f242235,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(X0,join(X2,meet(X0,X1)))),
inference(forward_demodulation,[],[f3685,f217502]) ).
fof(f242280,plain,
! [X2,X3,X0,X1] : meet(X0,meet(meet(join(X0,X1),join(X2,X0)),join(X3,X0))) = X0,
inference(superposition,[],[f242235,f1240]) ).
fof(f245417,plain,
! [X2,X0,X1] : join(X0,X1) = join(join(X0,X1),join(meet(X2,join(X0,X1)),X1)),
inference(superposition,[],[f6934,f2773]) ).
fof(f251879,plain,
! [X0,X1] : join(X1,X0) = join(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f3383,f7272]) ).
fof(f251903,plain,
! [X2,X0,X1] : join(X1,join(X0,X2)) = join(join(X0,X1),join(X1,join(X0,X2))),
inference(superposition,[],[f3383,f8632]) ).
fof(f253761,plain,
! [X0,X1] : join(X1,X0) = meet(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f3160,f251879]) ).
fof(f253815,plain,
! [X2,X0,X1] : join(X1,X0) = meet(join(X1,X0),join(X2,join(X0,X1))),
inference(superposition,[],[f8632,f251879]) ).
fof(f253824,plain,
! [X2,X0,X1] : join(X1,X0) = meet(join(X1,X0),join(join(X0,X1),X2)),
inference(superposition,[],[f9530,f251879]) ).
fof(f255136,plain,
! [X0,X1] : join(X0,X1) = join(meet(join(X0,X1),meet(join(X1,X0),join(join(X1,X0),join(X0,X1)))),meet(join(X0,X1),join(X1,X0))),
inference(superposition,[],[f120,f253761]) ).
fof(f255514,plain,
! [X0,X1] : join(X0,X1) = join(meet(join(X0,X1),meet(join(X1,X0),join(join(X1,X0),join(X0,X1)))),join(X1,X0)),
inference(forward_demodulation,[],[f255136,f253761]) ).
fof(f255794,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(forward_demodulation,[],[f255514,f12807]) ).
fof(f256988,plain,
( join(a,join(b,c)) != join(c,join(a,b))
| spl0_3 ),
inference(superposition,[],[f15,f255794]) ).
fof(f267568,plain,
! [X2,X3,X0,X1,X4] : join(X0,X1) = join(meet(join(meet(join(X1,X0),join(X0,X1)),meet(join(X0,X1),join(join(X1,X0),join(X0,X1)))),X2),meet(join(meet(join(X1,X0),join(join(meet(X3,join(X0,X1)),meet(join(X0,X1),X4)),join(X0,X1))),join(X0,X1)),join(join(meet(join(X1,X0),join(X0,X1)),meet(join(X0,X1),join(join(X1,X0),join(X0,X1)))),X2))),
inference(superposition,[],[f98,f253824]) ).
fof(f268020,plain,
! [X2,X3,X0,X1,X4] : join(X0,X1) = join(meet(join(X0,X1),X2),meet(join(meet(join(X1,X0),join(join(meet(X3,join(X0,X1)),meet(join(X0,X1),X4)),join(X0,X1))),join(X0,X1)),join(join(X0,X1),X2))),
inference(forward_demodulation,[],[f267568,f602]) ).
fof(f268394,plain,
! [X2,X3,X0,X1,X4] : join(X0,X1) = join(meet(join(X0,X1),X2),meet(join(join(X0,X1),meet(join(X1,X0),join(join(meet(X3,join(X0,X1)),meet(join(X0,X1),X4)),join(X0,X1)))),join(join(X0,X1),X2))),
inference(forward_demodulation,[],[f268020,f255794]) ).
fof(f268544,plain,
! [X2,X0,X1] : join(X0,X1) = join(meet(join(X0,X1),X2),meet(join(join(X0,X1),join(X1,X0)),join(join(X0,X1),X2))),
inference(forward_demodulation,[],[f268394,f253815]) ).
fof(f268615,plain,
! [X2,X0,X1] : join(X0,X1) = join(meet(join(X0,X1),X2),meet(join(X1,X0),join(join(X0,X1),X2))),
inference(forward_demodulation,[],[f268544,f251879]) ).
fof(f268666,plain,
! [X2,X0,X1] : join(X0,X1) = join(meet(join(X0,X1),X2),join(X1,X0)),
inference(forward_demodulation,[],[f268615,f253824]) ).
fof(f268704,plain,
! [X2,X0,X1] : join(X0,X1) = join(join(X1,X0),meet(join(X0,X1),X2)),
inference(forward_demodulation,[],[f268666,f255794]) ).
fof(f275845,plain,
! [X0,X1] : join(X1,X0) = join(join(X0,X1),X0),
inference(superposition,[],[f268704,f2510]) ).
fof(f276650,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f275845,f255794]) ).
fof(f340229,plain,
! [X2,X3,X0,X1] : meet(X0,meet(meet(join(X0,X2),join(X0,X1)),join(X3,X0))) = X0,
inference(superposition,[],[f242280,f6934]) ).
fof(f388693,plain,
! [X2,X0,X1] : join(X0,X1) = join(join(X0,X1),join(X1,meet(X2,join(X0,X1)))),
inference(forward_demodulation,[],[f245417,f255794]) ).
fof(f388739,plain,
! [X2,X3,X0,X1] : meet(X1,X0) = meet(meet(X1,X0),meet(meet(meet(X0,X1),join(meet(X1,X0),X2)),join(X3,meet(X1,X0)))),
inference(superposition,[],[f340229,f217036]) ).
fof(f390871,plain,
! [X3,X0,X1] : meet(X1,X0) = meet(meet(X1,X0),meet(meet(X0,X1),join(X3,meet(X1,X0)))),
inference(forward_demodulation,[],[f388739,f220524]) ).
fof(f391264,plain,
! [X3,X0,X1] : meet(X1,X0) = meet(meet(X0,X1),join(X3,meet(X1,X0))),
inference(forward_demodulation,[],[f390871,f217034]) ).
fof(f391981,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X0,X1),X0),
inference(superposition,[],[f391264,f1435]) ).
fof(f392028,plain,
! [X2,X0,X1] : meet(X2,X1) = meet(meet(X1,X2),join(X0,X1)),
inference(superposition,[],[f391264,f6942]) ).
fof(f392941,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f391981,f217502]) ).
fof(f394357,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(join(X2,X1),meet(X1,X0))),
inference(superposition,[],[f211498,f392941]) ).
fof(f394645,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(join(X2,X1),meet(X1,X0)),
inference(forward_demodulation,[],[f394357,f217035]) ).
fof(f403398,plain,
! [X2,X3,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(join(X3,join(X2,X1)),meet(X1,X0))),
inference(superposition,[],[f219208,f392028]) ).
fof(f403498,plain,
! [X2,X3,X0,X1] : meet(X0,X1) = meet(join(X3,join(X2,X1)),meet(X1,X0)),
inference(forward_demodulation,[],[f403398,f217035]) ).
fof(f767965,plain,
! [X2,X0,X1] : meet(X1,X2) = join(meet(meet(X0,X1),X2),meet(X2,X1)),
inference(superposition,[],[f233655,f209836]) ).
fof(f768232,plain,
! [X2,X0,X1] : meet(X1,X2) = join(meet(X1,X2),meet(meet(X0,X1),X2)),
inference(superposition,[],[f6922,f209836]) ).
fof(f768925,plain,
! [X2,X0,X1] : meet(X1,X2) = join(meet(X2,X1),meet(meet(X0,X1),X2)),
inference(forward_demodulation,[],[f767965,f255794]) ).
fof(f774969,plain,
! [X2,X0,X1] : meet(X1,meet(join(X1,X2),X0)) = join(meet(meet(join(X1,X2),X0),X1),meet(X0,X1)),
inference(superposition,[],[f768925,f219209]) ).
fof(f776364,plain,
! [X2,X0,X1] : meet(X1,meet(join(X1,X2),X0)) = join(meet(X0,X1),meet(meet(join(X1,X2),X0),X1)),
inference(forward_demodulation,[],[f774969,f255794]) ).
fof(f777093,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(X1,meet(join(X1,X2),X0)),
inference(forward_demodulation,[],[f776364,f768232]) ).
fof(f777304,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(meet(X0,X2),meet(X0,X1)),
inference(superposition,[],[f777093,f7061]) ).
fof(f777635,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(meet(X1,X0),X2),
inference(superposition,[],[f777093,f394645]) ).
fof(f782665,plain,
! [X2,X0,X1] : meet(join(X0,X1),X2) = meet(X2,meet(join(X0,X1),join(X1,X0))),
inference(superposition,[],[f777635,f253761]) ).
fof(f785183,plain,
! [X2,X0,X1] : meet(join(X0,X1),X2) = meet(X2,join(X1,X0)),
inference(forward_demodulation,[],[f782665,f253761]) ).
fof(f863526,plain,
! [X2,X3,X0,X1,X4] : meet(join(X3,join(X4,meet(X1,X2))),meet(X0,meet(X1,X2))) = meet(meet(X1,X0),meet(X1,X2)),
inference(superposition,[],[f403498,f777304]) ).
fof(f863577,plain,
! [X2,X3,X0,X1,X4] : meet(X2,meet(X1,X0)) = meet(join(X3,join(X4,meet(X1,X2))),meet(X0,meet(X1,X2))),
inference(forward_demodulation,[],[f863526,f777304]) ).
fof(f863986,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X1,X0)),
inference(forward_demodulation,[],[f863577,f4402]) ).
fof(f864606,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(superposition,[],[f863986,f777635]) ).
fof(f1052617,plain,
! [X2,X0,X1] : join(X1,X0) = meet(join(X1,X0),join(X0,join(X1,X2))),
inference(superposition,[],[f7747,f251903]) ).
fof(f1055288,plain,
! [X2,X0,X1] : join(X0,X2) = meet(join(X0,X2),join(X0,join(X1,X2))),
inference(superposition,[],[f1052617,f7140]) ).
fof(f1055343,plain,
! [X2,X0,X1] : join(X0,join(meet(X2,join(X0,X1)),X1)) = meet(join(X0,join(meet(X2,join(X0,X1)),X1)),join(X0,X1)),
inference(superposition,[],[f1052617,f2773]) ).
fof(f1056528,plain,
! [X2,X0,X1] : join(X0,join(meet(X2,join(X0,X1)),X1)) = meet(join(X1,X0),join(X0,join(meet(X2,join(X0,X1)),X1))),
inference(forward_demodulation,[],[f1055343,f785183]) ).
fof(f1056994,plain,
! [X2,X0,X1] : join(X0,join(X1,meet(X2,join(X0,X1)))) = meet(join(X1,X0),join(X0,join(X1,meet(X2,join(X0,X1))))),
inference(forward_demodulation,[],[f1056528,f255794]) ).
fof(f1057237,plain,
! [X2,X0,X1] : join(X1,X0) = join(X0,join(X1,meet(X2,join(X0,X1)))),
inference(forward_demodulation,[],[f1056994,f1052617]) ).
fof(f1068635,plain,
! [X2,X0,X1] : join(X0,join(X2,X1)) = join(join(X0,join(X2,X1)),join(join(X2,X1),join(X0,X1))),
inference(superposition,[],[f388693,f1055288]) ).
fof(f1069566,plain,
! [X2,X0,X1] : join(X0,join(X2,X1)) = join(join(X2,X1),join(X0,X1)),
inference(forward_demodulation,[],[f1068635,f251903]) ).
fof(f1071501,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(join(X1,X0),X2),
inference(superposition,[],[f1057237,f268704]) ).
fof(f1087401,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(superposition,[],[f1071501,f255794]) ).
fof(f1188174,plain,
! [X2,X0,X1] : join(join(X1,X2),join(X0,join(X1,X2))) = join(join(X0,X2),join(X1,X2)),
inference(superposition,[],[f276650,f1069566]) ).
fof(f1188400,plain,
! [X2,X0,X1] : join(X1,join(X0,X2)) = join(join(X1,X2),join(X0,join(X1,X2))),
inference(forward_demodulation,[],[f1188174,f1069566]) ).
fof(f1188936,plain,
! [X2,X0,X1] : join(X1,join(X0,X2)) = join(X0,join(X1,X2)),
inference(forward_demodulation,[],[f1188400,f7137]) ).
fof(f1192130,plain,
( join(a,join(b,c)) != join(a,join(c,b))
| spl0_3 ),
inference(superposition,[],[f256988,f1188936]) ).
fof(f1194003,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1192130,f1087401]) ).
fof(f1194004,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f1194003]) ).
fof(f1197243,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f19,f255794]) ).
fof(f1197244,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f1197243]) ).
fof(f1197246,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f23,f1118]) ).
fof(f1197247,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f1197246]) ).
fof(f1197248,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f27,f864606]) ).
fof(f1197249,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f1197248]) ).
fof(f1197250,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f31,f217502]) ).
fof(f1197251,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f1197250]) ).
fof(f1197252,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f35,f1294]) ).
fof(f1197253,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f1197252]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f36]) ).
cnf(s1952,plain,
spl0_1,
inference(sat_conversion,[],[f7005]) ).
cnf(s2081,plain,
spl0_2,
inference(sat_conversion,[],[f8113]) ).
cnf(s270242,plain,
spl0_3,
inference(sat_conversion,[],[f1194004]) ).
cnf(s271972,plain,
spl0_4,
inference(sat_conversion,[],[f1197244]) ).
cnf(s271973,plain,
spl0_5,
inference(sat_conversion,[],[f1197247]) ).
cnf(s271974,plain,
spl0_6,
inference(sat_conversion,[],[f1197249]) ).
cnf(s271975,plain,
spl0_7,
inference(sat_conversion,[],[f1197251]) ).
cnf(s271976,plain,
spl0_8,
inference(sat_conversion,[],[f1197253]) ).
cnf(s271977,plain,
$false,
inference(rat,[],[s4,s271976,s271975,s271974,s271973,s271972,s270242,s2081,s1952]) ).
fof(f1197254,plain,
$false,
inference(avatar_sat_refutation,[],[s271977]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT015-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 14:00:01 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.35/2.42 % (1689463)Will run a generic schedule for satisfiability detection.
% 13.35/2.42 % (1689473)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2316534187:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.35/2.42 % (1689469)% WARNING: option uhcvi not known.
% 13.35/2.42 % (1689468)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4157422067_2999 on theBenchmark for (2999ds/0Mi)
% 13.35/2.42 % (1689469)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2902588594:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.35/2.42 % (1689470)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4065374461:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.35/2.42 % (1689471)dis+10_1_sil=32000:sp=arity:random_seed=1620807820:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.35/2.42 % (1689472)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1493758639:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.35/2.42 % (1689474)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1164745910:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.35/2.42 % TRYING [1]
% 13.35/2.42 % TRYING [2]
% 13.35/2.42 % TRYING [3]
% 13.35/2.42 % (1689473)Instruction limit reached!
% 13.35/2.42 % (1689473)------------------------------
% 13.35/2.42 % (1689473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.35/2.42 % (1689473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.42 % (1689473)CaDiCaL version: 2.1.3
% 13.35/2.42 % (1689473)Termination reason: Instruction limit
% 13.35/2.42 % (1689473)Termination phase: Saturation
% 13.35/2.42 % (1689473)Time elapsed: 0.038 s
% 13.35/2.42 % (1689473)Peak memory usage: 17 MB
% 13.35/2.42 % (1689473)Instructions burned: 132 (million)
% 13.35/2.42 % (1689482)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3978062460:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.35/2.42 % (1689471)Instruction limit reached!
% 13.35/2.42 % (1689471)------------------------------
% 13.35/2.42 % (1689471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.35/2.42 % (1689471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.42 % (1689471)CaDiCaL version: 2.1.3
% 13.35/2.42 % (1689471)Termination reason: Instruction limit
% 13.35/2.42 % (1689471)Termination phase: Saturation
% 13.35/2.42 % (1689471)Time elapsed: 0.053 s
% 13.35/2.42 % (1689471)Peak memory usage: 14 MB
% 13.35/2.42 % (1689471)Instructions burned: 103 (million)
% 13.35/2.42 % TRYING [1]
% 13.35/2.42 % TRYING [2]
% 13.35/2.42 % (1689472)Instruction limit reached!
% 13.35/2.42 % (1689472)------------------------------
% 13.35/2.42 % (1689472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.35/2.42 % (1689472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.42 % (1689472)CaDiCaL version: 2.1.3
% 13.35/2.42 % (1689472)Termination reason: Instruction limit
% 13.35/2.42 % (1689472)Termination phase: Saturation
% 13.35/2.42 % (1689472)Time elapsed: 0.057 s
% 13.35/2.42 % (1689472)Peak memory usage: 16 MB
% 13.35/2.42 % (1689472)Instructions burned: 116 (million)
% 13.35/2.42 % TRYING [3]
% 13.35/2.42 % (1689484)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=767949551:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.35/2.42 % (1689485)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3950253594:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 13.35/2.42 % (1689474)Instruction limit reached!
% 13.35/2.42 % (1689474)------------------------------
% 13.35/2.42 % (1689474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.35/2.42 % (1689474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.42 % (1689474)CaDiCaL version: 2.1.3
% 13.35/2.42 % (1689474)Termination reason: Instruction limit
% 13.35/2.42 % (1689474)Termination phase: Saturation
% 13.35/2.42 % (1689474)Time elapsed: 0.084 s
% 13.35/2.42 % (1689474)Peak memory usage: 15 MB
% 13.35/2.42 % (1689474)Instructions burned: 160 (million)
% 13.35/2.42 % (1689488)ott-21_1_sil=16000:fs=off:random_seed=2078839500:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.35/2.42 % (1689484)Instruction limit reached!
% 13.35/2.42 % (1689484)------------------------------
% 13.35/2.42 % (1689484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.35/2.42 % (1689484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.89/5.91 % (1689484)CaDiCaL version: 2.1.3
% 38.89/5.91 % (1689484)Termination reason: Instruction limit
% 38.89/5.91 % (1689484)Termination phase: Saturation
% 38.89/5.91 % (1689484)Time elapsed: 0.059 s
% 38.89/5.91 % (1689484)Peak memory usage: 14 MB
% 38.89/5.91 % (1689484)Instructions burned: 131 (million)
% 38.89/5.91 % (1689490)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=136016625:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 38.89/5.91 % (1689488)Instruction limit reached!
% 38.89/5.91 % (1689488)------------------------------
% 38.89/5.91 % (1689488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.89/5.91 % (1689488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.89/5.91 % (1689488)CaDiCaL version: 2.1.3
% 38.89/5.91 % (1689488)Termination reason: Instruction limit
% 38.89/5.91 % (1689488)Termination phase: Saturation
% 38.89/5.91 % (1689488)Time elapsed: 0.076 s
% 38.89/5.91 % (1689488)Peak memory usage: 15 MB
% 38.89/5.91 % (1689488)Instructions burned: 180 (million)
% 38.89/5.91 % (1689492)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2259079338:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 38.89/5.91 % TRYING [1]
% 38.89/5.91 % TRYING [2]
% 38.89/5.91 % TRYING [3]
% 38.89/5.91 % (1689482)Instruction limit reached!
% 38.89/5.91 % (1689482)------------------------------
% 38.89/5.91 % (1689482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.89/5.91 % (1689482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.89/5.91 % (1689482)CaDiCaL version: 2.1.3
% 38.89/5.91 % (1689482)Termination reason: Instruction limit
% 38.89/5.91 % (1689482)Termination phase: Finite model building SAT solving
% 38.89/5.91 % (1689482)Time elapsed: 0.250 s
% 38.89/5.91 % (1689482)Peak memory usage: 16 MB
% 38.89/5.91 % (1689482)Instructions burned: 714 (million)
% 38.89/5.91 % (1689494)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=24916750:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 38.89/5.91 % (1689485)Instruction limit reached!
% 38.89/5.91 % (1689485)------------------------------
% 38.89/5.91 % (1689485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.89/5.91 % (1689485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.89/5.91 % (1689485)CaDiCaL version: 2.1.3
% 38.89/5.91 % (1689485)Termination reason: Instruction limit
% 38.89/5.91 % (1689485)Termination phase: Saturation
% 38.89/5.91 % (1689485)Time elapsed: 0.361 s
% 38.89/5.91 % (1689485)Peak memory usage: 18 MB
% 38.89/5.91 % (1689485)Instructions burned: 685 (million)
% 38.89/5.91 % (1689496)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1982114502:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 38.89/5.91 % (1689490)Instruction limit reached!
% 38.89/5.91 % (1689490)------------------------------
% 38.89/5.91 % (1689490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.89/5.91 % (1689490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.89/5.91 % (1689490)CaDiCaL version: 2.1.3
% 38.89/5.91 % (1689490)Termination reason: Instruction limit
% 38.89/5.91 % (1689490)Termination phase: Saturation
% 38.89/5.91 % (1689490)Time elapsed: 0.311 s
% 38.89/5.91 % (1689490)Peak memory usage: 27 MB
% 38.89/5.91 % (1689490)Instructions burned: 478 (million)
% 38.89/5.91 % (1689498)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=584204580:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 38.89/5.91 % (1689494)Instruction limit reached!
% 38.89/5.91 % (1689494)------------------------------
% 38.89/5.91 % (1689494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.89/5.91 % (1689494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.89/5.91 % (1689494)CaDiCaL version: 2.1.3
% 38.89/5.91 % (1689494)Termination reason: Instruction limit
% 38.89/5.91 % (1689494)Termination phase: Saturation
% 38.89/5.91 % (1689494)Time elapsed: 0.325 s
% 38.89/5.91 % (1689494)Peak memory usage: 56 MB
% 38.89/5.91 % (1689494)Instructions burned: 1180 (million)
% 38.89/5.91 % (1689500)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=620233647:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 38.89/5.91 % (1689492)Instruction limit reached!
% 38.89/5.91 % (1689492)------------------------------
% 38.89/5.91 % (1689492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.12/21.33 % (1689492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.12/21.33 % (1689492)CaDiCaL version: 2.1.3
% 148.12/21.33 % (1689492)Termination reason: Instruction limit
% 148.12/21.33 % (1689492)Termination phase: Finite model building SAT solving
% 148.12/21.33 % (1689492)Time elapsed: 0.542 s
% 148.12/21.33 % (1689492)Peak memory usage: 14 MB
% 148.12/21.33 % (1689492)Instructions burned: 865 (million)
% 148.12/21.33 % (1689502)fmb+10_1_sil=64000:random_seed=2687626054:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 148.12/21.33 % TRYING [1]
% 148.12/21.33 % TRYING [2]
% 148.12/21.33 % TRYING [3]
% 148.12/21.33 % (1689498)Instruction limit reached!
% 148.12/21.33 % (1689498)------------------------------
% 148.12/21.33 % (1689498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.12/21.33 % (1689498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.12/21.33 % (1689498)CaDiCaL version: 2.1.3
% 148.12/21.33 % (1689498)Termination reason: Instruction limit
% 148.12/21.33 % (1689498)Termination phase: Saturation
% 148.12/21.33 % (1689498)Time elapsed: 0.345 s
% 148.12/21.33 % (1689498)Peak memory usage: 25 MB
% 148.12/21.33 % (1689498)Instructions burned: 693 (million)
% 148.12/21.33 % (1689504)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2089785361:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 148.12/21.33 % TRYING [20]
% 148.12/21.33 % (1689496)Instruction limit reached!
% 148.12/21.33 % (1689496)------------------------------
% 148.12/21.33 % (1689496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.12/21.33 % (1689496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.12/21.33 % (1689496)CaDiCaL version: 2.1.3
% 148.12/21.33 % (1689496)Termination reason: Instruction limit
% 148.12/21.33 % (1689496)Termination phase: Finite model building constraint generation
% 148.12/21.33 % (1689496)Time elapsed: 0.410 s
% 148.12/21.33 % (1689496)Peak memory usage: 109 MB
% 148.12/21.33 % (1689496)Instructions burned: 891 (million)
% 148.12/21.33 % (1689506)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3892302068:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 148.12/21.33 % (1689500)Instruction limit reached!
% 148.12/21.33 % (1689500)------------------------------
% 148.12/21.33 % (1689500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.12/21.33 % (1689500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.12/21.33 % (1689500)CaDiCaL version: 2.1.3
% 148.12/21.33 % (1689500)Termination reason: Instruction limit
% 148.12/21.33 % (1689500)Termination phase: Saturation
% 148.12/21.33 % (1689500)Time elapsed: 0.251 s
% 148.12/21.33 % (1689500)Peak memory usage: 31 MB
% 148.12/21.33 % (1689500)Instructions burned: 884 (million)
% 148.12/21.33 % TRYING [8]
% 148.12/21.33 % (1689508)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4064880020:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 148.12/21.33 % (1689506)Instruction limit reached!
% 148.12/21.33 % (1689506)------------------------------
% 148.12/21.33 % (1689506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.12/21.33 % (1689506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.12/21.33 % (1689506)CaDiCaL version: 2.1.3
% 148.12/21.33 % (1689506)Termination reason: Instruction limit
% 148.12/21.33 % (1689506)Termination phase: Finite model building constraint generation
% 148.12/21.33 % (1689506)Time elapsed: 0.323 s
% 148.12/21.33 % (1689506)Peak memory usage: 74 MB
% 148.12/21.33 % (1689506)Instructions burned: 923 (million)
% 148.12/21.33 % (1689510)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3616656207:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 148.12/21.33 % (1689510)Instruction limit reached!
% 148.12/21.33 % (1689510)------------------------------
% 148.12/21.33 % (1689510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.12/21.33 % (1689510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.12/21.33 % (1689510)CaDiCaL version: 2.1.3
% 148.12/21.33 % (1689510)Termination reason: Instruction limit
% 148.12/21.33 % (1689510)Termination phase: Saturation
% 148.12/21.33 % (1689510)Time elapsed: 0.696 s
% 148.12/21.33 % (1689510)Peak memory usage: 26 MB
% 148.12/21.33 % (1689510)Instructions burned: 1472 (million)
% 148.12/21.33 % (1689512)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1712190008:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 148.12/21.33 % (1689512)Cannot represent all propositional literals internally
% 148.12/21.33 % (1689512)Refutation not found, incomplete strategy
% 148.12/21.33 % (1689512)------------------------------
% 148.12/21.33 % (1689512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.21/32.97 % (1689512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.21/32.97 % (1689512)CaDiCaL version: 2.1.3
% 188.21/32.97 % (1689512)Termination reason: Refutation not found, incomplete strategy
% 188.21/32.97 % (1689512)Time elapsed: 0.004 s
% 188.21/32.97 % (1689512)Peak memory usage: 10 MB
% 188.21/32.97 % (1689512)Instructions burned: 8 (million)
% 188.21/32.97 % (1689512)------------------------------
% 188.21/32.97 % (1689512)------------------------------
% 188.21/32.97 % (1689514)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3378901467:fmbsr=2.30978:i=2174_2979 on theBenchmark for (2979ds/2174Mi)
% 188.21/32.97 % TRYING [16]
% 188.21/32.97 % (1689514)Instruction limit reached!
% 188.21/32.97 % (1689514)------------------------------
% 188.21/32.97 % (1689514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.21/32.97 % (1689514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.21/32.97 % (1689514)CaDiCaL version: 2.1.3
% 188.21/32.97 % (1689514)Termination reason: Instruction limit
% 188.21/32.97 % (1689514)Termination phase: Finite model building constraint generation
% 188.21/32.97 % (1689514)Time elapsed: 0.753 s
% 188.21/32.97 % (1689514)Peak memory usage: 138 MB
% 188.21/32.97 % (1689514)Instructions burned: 2174 (million)
% 188.21/32.97 % (1689516)ott-2_1_sil=16000:newcnf=on:random_seed=2238051282:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2971 on theBenchmark for (2971ds/869Mi)
% 188.21/32.97 % (1689508)Instruction limit reached!
% 188.21/32.97 % (1689508)------------------------------
% 188.21/32.97 % (1689508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.21/32.97 % (1689508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.21/32.97 % (1689508)CaDiCaL version: 2.1.3
% 188.21/32.97 % (1689508)Termination reason: Instruction limit
% 188.21/32.97 % (1689508)Termination phase: Saturation
% 188.21/32.97 % (1689508)Time elapsed: 1.980 s
% 188.21/32.97 % (1689508)Peak memory usage: 39 MB
% 188.21/32.97 % (1689508)Instructions burned: 5132 (million)
% 188.21/32.97 % (1689518)ott+10_1_sil=32000:tgt=ground:random_seed=2474410809:i=5114:av=off_2970 on theBenchmark for (2970ds/5114Mi)
% 188.21/32.97 % (1689516)Instruction limit reached!
% 188.21/32.97 % (1689516)------------------------------
% 188.21/32.97 % (1689516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.21/32.97 % (1689516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.21/32.97 % (1689516)CaDiCaL version: 2.1.3
% 188.21/32.97 % (1689516)Termination reason: Instruction limit
% 188.21/32.97 % (1689516)Termination phase: Saturation
% 188.21/32.97 % (1689516)Time elapsed: 0.401 s
% 188.21/32.97 % (1689516)Peak memory usage: 37 MB
% 188.21/32.97 % (1689516)Instructions burned: 869 (million)
% 188.21/32.97 % (1689520)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2930640570:i=54282_2967 on theBenchmark for (2967ds/54282Mi)
% 188.21/32.97 % TRYING [1]
% 188.21/32.97 % TRYING [2]
% 188.21/32.97 % TRYING [3]
% 188.21/32.97 % (1689518)Instruction limit reached!
% 188.21/32.97 % (1689518)------------------------------
% 188.21/32.97 % (1689518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.21/32.97 % (1689518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.21/32.97 % (1689518)CaDiCaL version: 2.1.3
% 188.21/32.97 % (1689518)Termination reason: Instruction limit
% 188.21/32.97 % (1689518)Termination phase: Saturation
% 188.21/32.97 % (1689518)Time elapsed: 1.308 s
% 188.21/32.97 % (1689518)Peak memory usage: 218 MB
% 188.21/32.97 % (1689518)Instructions burned: 5117 (million)
% 188.21/32.97 % (1689522)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4104405219:i=3512:aac=none_2957 on theBenchmark for (2957ds/3512Mi)
% 188.21/32.97 % (1689504)Instruction limit reached!
% 188.21/32.97 % (1689504)------------------------------
% 188.21/32.97 % (1689504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.21/32.97 % (1689504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.21/32.97 % (1689504)CaDiCaL version: 2.1.3
% 188.21/32.97 % (1689504)Termination reason: Instruction limit
% 188.21/32.97 % (1689504)Termination phase: Finite model building constraint generation
% 188.21/32.97 % (1689504)Time elapsed: 3.489 s
% 188.21/32.97 % (1689504)Peak memory usage: 671 MB
% 188.21/32.97 % (1689504)Instructions burned: 9517 (million)
% 188.21/32.97 % (1689524)dis+21_1_sil=32000:sas=cadical:random_seed=3909314247:i=3773:amm=off_2955 on theBenchmark for (2955ds/3773Mi)
% 188.21/32.97 % (1689522)Instruction limit reached!
% 188.21/32.97 % (1689522)------------------------------
% 188.21/32.97 % (1689522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.21/32.97 % (1689522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.21/32.97 % (1689522)CaDiCaL version: 2.1.3
% 188.21/32.97 % (1689522)Termination reason: Instruction limit
% 188.21/32.97 % (1689522)Termination phase: Saturation
% 188.21/32.97 % (1689522)Time elapsed: 1.219 s
% 188.21/32.97 % (1689522)Peak memory usage: 37 MB
% 188.21/32.97 % (1689522)Instructions burned: 3515 (million)
% 188.21/32.97 % (1689526)ott+11_1_sil=16000:gs=on:random_seed=2614908978:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2944 on theBenchmark for (2944ds/2251Mi)
% 188.21/32.97 % (1689526)Instruction limit reached!
% 188.21/32.97 % (1689526)------------------------------
% 188.21/32.97 % (1689526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.21/32.97 % (1689526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.21/32.97 % (1689526)CaDiCaL version: 2.1.3
% 188.21/32.97 % (1689526)Termination reason: Instruction limit
% 188.21/32.97 % (1689526)Termination phase: Saturation
% 188.21/32.97 % (1689526)Time elapsed: 0.508 s
% 188.21/32.97 % (1689526)Peak memory usage: 68 MB
% 188.21/32.97 % (1689526)Instructions burned: 2253 (million)
% 188.21/32.97 % (1689528)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=252166278:fmbsr=1.6:i=67534_2939 on theBenchmark for (2939ds/67534Mi)
% 188.21/32.97 % TRYING [7]
% 188.21/32.97 % (1689524)Instruction limit reached!
% 188.21/32.97 % (1689524)------------------------------
% 188.21/32.97 % (1689524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.21/32.97 % (1689524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.21/32.97 % (1689524)CaDiCaL version: 2.1.3
% 188.21/32.97 % (1689524)Termination reason: Instruction limit
% 188.21/32.97 % (1689524)Termination phase: Saturation
% 188.21/32.97 % (1689524)Time elapsed: 2.493 s
% 188.21/32.97 % (1689524)Peak memory usage: 40 MB
% 188.21/32.97 % (1689524)Instructions burned: 3775 (million)
% 188.21/32.97 % (1689530)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1998142749:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2930 on theBenchmark for (2930ds/4591Mi)
% 188.21/32.97 % (1689530)Instruction limit reached!
% 188.21/32.97 % (1689530)------------------------------
% 188.21/32.97 % (1689530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.21/32.97 % (1689530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.21/32.97 % (1689530)CaDiCaL version: 2.1.3
% 188.21/32.97 % (1689530)Termination reason: Instruction limit
% 188.21/32.97 % (1689530)Termination phase: Saturation
% 188.21/32.97 % (1689530)Time elapsed: 1.860 s
% 188.21/32.97 % (1689530)Peak memory usage: 32 MB
% 188.21/32.97 % (1689530)Instructions burned: 4593 (million)
% 188.21/32.97 % (1689532)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=451105764:i=29340_2911 on theBenchmark for (2911ds/29340Mi)
% 188.21/32.97 % (1689502)Instruction limit reached!
% 188.21/32.97 % (1689502)------------------------------
% 188.21/32.97 % (1689502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.21/32.97 % (1689502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.21/32.97 % (1689502)CaDiCaL version: 2.1.3
% 188.21/32.97 % (1689502)Termination reason: Instruction limit
% 188.21/32.97 % (1689502)Termination phase: Finite model building SAT solving
% 188.21/32.97 % (1689502)Time elapsed: 14.529 s
% 188.21/32.97 % (1689502)Peak memory usage: 17 MB
% 188.21/32.97 % (1689502)Instructions burned: 22062 (million)
% 188.21/32.97 % (1689534)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=936840287:i=5211_2846 on theBenchmark for (2846ds/5211Mi)
% 188.21/32.97 % (1689534)Instruction limit reached!
% 188.21/32.97 % (1689534)------------------------------
% 188.21/32.97 % (1689534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.21/32.97 % (1689534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.21/32.97 % (1689534)CaDiCaL version: 2.1.3
% 188.21/32.97 % (1689534)Termination reason: Instruction limit
% 188.21/32.97 % (1689534)Termination phase: Saturation
% 188.21/32.97 % (1689534)Time elapsed: 3.540 s
% 188.21/32.97 % (1689534)Peak memory usage: 40 MB
% 188.21/32.97 % (1689534)Instructions burned: 5213 (million)
% 188.21/32.97 % (1689536)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3935917578:i=5497:nm=2_2811 on theBenchmark for (2811ds/5497Mi)
% 188.21/32.97 % TRYING [17]
% 188.21/32.97 % (1689536)Instruction limit reached!
% 188.21/32.97 % (1689536)------------------------------
% 188.21/32.97 % (1689536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.21/32.97 % (1689536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.21/32.97 % (1689536)CaDiCaL version: 2.1.3
% 188.21/32.97 % (1689536)Termination reason: Instruction limit
% 188.21/32.97 % (1689536)Termination phase: Finite model building constraint generation
% 188.21/32.97 % (1689536)Time elapsed: 2.001 s
% 188.21/32.97 % (1689536)Peak memory usage: 392 MB
% 188.21/32.97 % (1689536)Instructions burned: 5499 (million)
% 188.21/32.97 % (1689538)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=188305438:fmbsr=2:i=46332_2790 on theBenchmark for (2790ds/46332Mi)
% 188.21/32.97 % TRYING [15]
% 188.21/32.97 % (1689532)Instruction limit reached!
% 188.21/32.97 % (1689532)------------------------------
% 188.21/32.97 % (1689532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.21/32.97 % (1689532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.21/32.97 % (1689532)CaDiCaL version: 2.1.3
% 188.21/32.97 % (1689532)Termination reason: Instruction limit
% 188.21/32.97 % (1689532)Termination phase: Saturation
% 188.21/32.97 % (1689532)Time elapsed: 16.014 s
% 188.21/32.97 % (1689532)Peak memory usage: 203 MB
% 188.21/32.97 % (1689532)Instructions burned: 29341 (million)
% 188.21/32.97 % (1689540)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3995074607:i=14071_2750 on theBenchmark for (2750ds/14071Mi)
% 188.21/32.97 % TRYING [12]
% 188.21/32.97 % (1689540)Instruction limit reached!
% 188.21/32.97 % (1689540)------------------------------
% 188.21/32.97 % (1689540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.21/32.97 % (1689540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.21/32.97 % (1689540)CaDiCaL version: 2.1.3
% 188.21/32.97 % (1689540)Termination reason: Instruction limit
% 188.21/32.97 % (1689540)Termination phase: Finite model building constraint generation
% 188.21/32.97 % (1689540)Time elapsed: 5.055 s
% 188.21/32.97 % (1689540)Peak memory usage: 1027 MB
% 188.21/32.97 % (1689540)Instructions burned: 14073 (million)
% 188.21/32.97 % (1689542)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1813681645:i=22565:add=on:rawr=on_2698 on theBenchmark for (2698ds/22565Mi)
% 188.21/32.97 % (1689470) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1689463-1689470"...
% 188.21/32.97 % (1689470)...printing done.
% 188.21/32.97 % (1689470)Refutation found. Thanks to Tanya!
% 188.21/32.97 % SZS status Unsatisfiable for theBenchmark
% 188.21/32.97 % SZS output start Proof for theBenchmark
% See solution above
% 188.21/32.97 % (1689470)------------------------------
% 188.21/32.97 % (1689470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 188.21/32.97 % (1689470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 188.21/32.97 % (1689470)CaDiCaL version: 2.1.3
% 188.21/32.97 % (1689470)Termination reason: Refutation
% 188.21/32.97 % (1689470)Time elapsed: 32.173 s
% 188.21/32.97 % (1689470)Peak memory usage: 402 MB
% 188.21/32.97 % (1689470)Instructions burned: 58925 (million)
% 188.21/32.97 % (1689463)Success in time 32.554 s
% 188.21/32.97 % Vampire exiting
%------------------------------------------------------------------------------