%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT084-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 11:45:58 AM UTC 2026
% Result : Unsatisfiable 5.60s 2.51s
% Output : Refutation 12.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 7
% Syntax : Number of formulae : 90 ( 75 unt; 5 def)
% Number of atoms : 113 ( 78 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 24 ~; 20 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 23 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 230 ( 0 sgn 230 !; 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,
join(a,b) != join(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_5) ).
fof(f3,definition,
sF0 = join(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f4,plain,
join(a,b) = sF0,
inference(reorient_equations,[],[f3]) ).
fof(f5,definition,
sF1 = join(b,a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f6,plain,
join(b,a) = sF1,
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
sF0 != sF1,
inference(definition_folding,[],[f2,f6,f4]) ).
fof(f9,definition,
( spl2_1
<=> join(b,a) = sF1 ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f11,plain,
( join(b,a) = sF1
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f12,plain,
spl2_1,
inference(avatar_split_clause,[],[f6,f9]) ).
fof(f14,definition,
( spl2_2
<=> join(a,b) = sF0 ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f16,plain,
( join(a,b) = sF0
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f17,plain,
spl2_2,
inference(avatar_split_clause,[],[f4,f14]) ).
fof(f19,definition,
( spl2_3
<=> sF0 = sF1 ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f21,plain,
( sF0 != sF1
| spl2_3 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f22,plain,
~ spl2_3,
inference(avatar_split_clause,[],[f7,f19]) ).
fof(f29,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(f41,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,[],[f29,f1]) ).
fof(f68,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,[],[f41,f1]) ).
fof(f74,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : 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(X9,join(join(meet(X10,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)))),X11)),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(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(meet(join(X10,join(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)))),X11)),join(X12,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(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(X13,join(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(meet(join(X10,join(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)))),X11)),join(X12,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(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(X9,join(join(meet(X10,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)))),X11)),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,[],[f41,f1]) ).
fof(f96,plain,
! [X2,X0] : join(meet(X0,X2),meet(X0,join(X0,X2))) = X0,
inference(superposition,[],[f68,f68]) ).
fof(f100,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,[],[f29,f68]) ).
fof(f101,plain,
! [X2,X3,X0,X1,X6,X4,X5] : join(meet(X0,X2),meet(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))),join(join(meet(X3,X0),meet(X0,X4)),X0)),meet(join(meet(X0,meet(meet(join(X3,join(X0,X4)),join(X5,X0)),X0)),meet(X6,join(X0,meet(meet(join(X3,join(X0,X4)),join(X5,X0)),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))),join(join(meet(X3,X0),meet(X0,X4)),X0)))),join(X0,X2))) = X0,
inference(superposition,[],[f1,f68]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X6,X4,X5] : join(meet(join(meet(join(meet(join(meet(X5,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))))),meet(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)))),join(X5,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))))))),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))))),meet(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)))),join(join(meet(X5,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))))),meet(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)))),join(X5,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))))))),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),meet(X0,join(join(meet(join(meet(X5,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))))),meet(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)))),join(X5,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))))))),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))))),meet(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)))),join(join(meet(X5,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))))),meet(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)))),join(X5,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))))))),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))),X6),meet(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)))),join(join(meet(join(meet(join(meet(X5,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))))),meet(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)))),join(X5,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))))))),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))))),meet(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)))),join(join(meet(X5,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))))),meet(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)))),join(X5,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))))))),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),meet(X0,join(join(meet(join(meet(X5,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))))),meet(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)))),join(X5,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))))))),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))))),meet(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)))),join(join(meet(X5,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))))),meet(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)))),join(X5,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))))))),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))),X6))) = X0,
inference(superposition,[],[f1,f68]) ).
fof(f159,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X4,join(join(meet(X5,X0),meet(X0,X6)),X0)),meet(join(meet(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)),meet(X8,join(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)))),join(X4,join(join(meet(X5,X0),meet(X0,X6)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = join(meet(X0,X9),meet(join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(X10,join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X4,join(join(meet(X5,X0),meet(X0,X6)),X0)),meet(join(meet(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)),meet(X8,join(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)))),join(X4,join(join(meet(X5,X0),meet(X0,X6)),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(X4,join(join(meet(X5,X0),meet(X0,X6)),X0)),meet(join(meet(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)),meet(X8,join(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)))),join(X4,join(join(meet(X5,X0),meet(X0,X6)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),X11)),join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X4,join(join(meet(X5,X0),meet(X0,X6)),X0)),meet(join(meet(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)),meet(X8,join(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)))),join(X4,join(join(meet(X5,X0),meet(X0,X6)),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(X4,join(join(meet(X5,X0),meet(X0,X6)),X0)),meet(join(meet(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)),meet(X8,join(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)))),join(X4,join(join(meet(X5,X0),meet(X0,X6)),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(X10,join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X4,join(join(meet(X5,X0),meet(X0,X6)),X0)),meet(join(meet(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)),meet(X8,join(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)))),join(X4,join(join(meet(X5,X0),meet(X0,X6)),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(X4,join(join(meet(X5,X0),meet(X0,X6)),X0)),meet(join(meet(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)),meet(X8,join(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)))),join(X4,join(join(meet(X5,X0),meet(X0,X6)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),X11)),join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X4,join(join(meet(X5,X0),meet(X0,X6)),X0)),meet(join(meet(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)),meet(X8,join(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)))),join(X4,join(join(meet(X5,X0),meet(X0,X6)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))))))),join(X0,X9))),
inference(superposition,[],[f100,f41]) ).
fof(f160,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,[],[f100,f100]) ).
fof(f180,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,[],[f160,f100]) ).
fof(f181,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X4,join(join(meet(X5,X0),meet(X0,X6)),X0)),meet(join(meet(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)),meet(X8,join(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)))),join(X4,join(join(meet(X5,X0),meet(X0,X6)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = join(meet(X0,X9),meet(X0,join(X0,X9))),
inference(forward_demodulation,[],[f159,f41]) ).
fof(f187,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,[],[f180,f96]) ).
fof(f188,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(X4,join(join(meet(X5,X0),meet(X0,X6)),X0)),meet(join(meet(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)),meet(X8,join(X0,meet(meet(join(X5,join(X0,X6)),join(X7,X0)),X0)))),join(X4,join(join(meet(X5,X0),meet(X0,X6)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = X0,
inference(forward_demodulation,[],[f181,f96]) ).
fof(f214,plain,
! [X2,X3,X0] : join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X3),meet(X0,join(join(meet(X2,X0),meet(X0,join(X2,X0))),X3))) = X0,
inference(backward_demodulation,[],[f100,f187]) ).
fof(f257,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(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(backward_demodulation,[],[f74,f188]) ).
fof(f277,plain,
! [X2,X3,X0,X6,X4,X5] : join(meet(X0,X2),meet(join(meet(X0,join(join(meet(X3,X0),meet(X0,X4)),X0)),meet(join(meet(X0,meet(meet(join(X3,join(X0,X4)),join(X5,X0)),X0)),meet(X6,join(X0,meet(meet(join(X3,join(X0,X4)),join(X5,X0)),X0)))),join(X0,join(join(meet(X3,X0),meet(X0,X4)),X0)))),join(X0,X2))) = X0,
inference(backward_demodulation,[],[f101,f214]) ).
fof(f284,plain,
! [X2,X3,X0,X1,X6,X4] : join(meet(join(meet(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),meet(X0,join(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))),X6),meet(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)))),join(join(meet(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),meet(X0,join(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))),X6))) = X0,
inference(backward_demodulation,[],[f106,f214]) ).
fof(f291,plain,
! [X3,X0,X6,X4,X5] : join(meet(X0,join(join(meet(X3,X0),meet(X0,X4)),X0)),meet(join(meet(X0,meet(meet(join(X3,join(X0,X4)),join(X5,X0)),X0)),meet(X6,join(X0,meet(meet(join(X3,join(X0,X4)),join(X5,X0)),X0)))),join(X0,join(join(meet(X3,X0),meet(X0,X4)),X0)))) = X0,
inference(forward_demodulation,[],[f277,f257]) ).
fof(f311,plain,
! [X2,X0,X1] : join(meet(X0,join(X0,X0)),meet(join(meet(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)),meet(X2,join(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)))),join(X0,join(X0,X0)))) = X0,
inference(superposition,[],[f291,f96]) ).
fof(f316,plain,
! [X0,X1] : join(meet(X1,join(X0,X0)),meet(X0,join(X1,join(X0,X0)))) = X0,
inference(superposition,[],[f187,f214]) ).
fof(f335,plain,
! [X0,X1] : join(meet(X1,X0),meet(X0,join(X1,X0))) = join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(X1,X0),meet(X0,join(X1,X0))),join(meet(X1,X0),meet(X0,join(X1,X0))))),meet(X0,join(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(X1,X0),meet(X0,join(X1,X0))),join(meet(X1,X0),meet(X0,join(X1,X0))))))),
inference(superposition,[],[f311,f214]) ).
fof(f340,plain,
! [X0,X1] : join(meet(X1,X0),meet(X0,join(X1,X0))) = X0,
inference(forward_demodulation,[],[f335,f214]) ).
fof(f392,plain,
! [X2,X3,X0,X1,X6,X4] : join(meet(X0,X6),meet(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)))),join(X0,X6))) = X0,
inference(backward_demodulation,[],[f284,f340]) ).
fof(f472,plain,
! [X2,X3,X0,X1,X4] : join(meet(X1,X4),meet(meet(meet(join(X0,join(X1,X2)),join(X3,X1)),X1),join(X1,X4))) = X1,
inference(superposition,[],[f392,f340]) ).
fof(f486,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,[],[f316,f392]) ).
fof(f545,plain,
! [X2,X3,X0,X1] : meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0) = X0,
inference(superposition,[],[f316,f472]) ).
fof(f553,plain,
! [X0,X4] : join(meet(X0,X0),meet(X4,join(X0,X0))) = X0,
inference(backward_demodulation,[],[f486,f545]) ).
fof(f565,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
inference(superposition,[],[f187,f553]) ).
fof(f566,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f316,f553]) ).
fof(f577,plain,
! [X0,X4] : join(meet(X0,X0),meet(X4,X0)) = X0,
inference(backward_demodulation,[],[f553,f566]) ).
fof(f621,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f566,f577]) ).
fof(f629,plain,
! [X0,X4] : join(X0,meet(X4,X0)) = X0,
inference(backward_demodulation,[],[f577,f621]) ).
fof(f654,plain,
! [X0,X1] : join(join(X0,meet(X0,X1)),X0) = X0,
inference(superposition,[],[f565,f621]) ).
fof(f661,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(superposition,[],[f565,f629]) ).
fof(f665,plain,
! [X0,X1] : meet(X1,X0) = join(meet(meet(X1,X0),X0),meet(meet(X1,X0),X0)),
inference(superposition,[],[f96,f661]) ).
fof(f668,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(forward_demodulation,[],[f665,f566]) ).
fof(f687,plain,
! [X2,X0,X1] : meet(meet(join(X1,join(X0,X2)),X0),X0) = X0,
inference(superposition,[],[f545,f565]) ).
fof(f704,plain,
! [X2,X0,X1] : meet(join(X1,join(X0,X2)),X0) = X0,
inference(forward_demodulation,[],[f687,f668]) ).
fof(f786,plain,
! [X0,X1] : meet(join(X1,X0),X0) = X0,
inference(superposition,[],[f704,f629]) ).
fof(f795,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(superposition,[],[f704,f565]) ).
fof(f811,plain,
! [X0,X1] : join(X1,X0) = join(X0,meet(join(X1,X0),join(join(X1,X0),X0))),
inference(superposition,[],[f96,f786]) ).
fof(f827,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(join(X0,X1),join(join(X0,X1),X0))),
inference(superposition,[],[f96,f795]) ).
fof(f839,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,[],[f96,f654]) ).
fof(f850,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = meet(join(X0,meet(X0,X1)),X0),
inference(forward_demodulation,[],[f839,f566]) ).
fof(f852,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f850,f795]) ).
fof(f860,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f852,f786]) ).
fof(f861,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f852,f795]) ).
fof(f872,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(join(X0,X1),join(X0,X1))),
inference(backward_demodulation,[],[f827,f861]) ).
fof(f876,plain,
! [X0,X1] : join(X1,X0) = join(X0,meet(join(X1,X0),join(X1,X0))),
inference(backward_demodulation,[],[f811,f860]) ).
fof(f880,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f872,f621]) ).
fof(f881,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f876,f621]) ).
fof(f918,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(superposition,[],[f96,f880]) ).
fof(f927,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[],[f918,f566]) ).
fof(f1003,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f927,f881]) ).
fof(f1039,plain,
! [X2,X0,X1] : join(X1,X0) = join(join(X0,meet(join(X1,X0),X2)),join(X1,X0)),
inference(superposition,[],[f565,f1003]) ).
fof(f3906,plain,
! [X0,X1] : join(X0,X1) = join(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f1039,f795]) ).
fof(f4091,plain,
( join(a,b) = join(sF1,join(a,b))
| ~ spl2_1 ),
inference(superposition,[],[f3906,f11]) ).
fof(f4136,plain,
( sF1 = join(join(a,b),sF1)
| ~ spl2_1 ),
inference(superposition,[],[f3906,f11]) ).
fof(f4168,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f861,f3906]) ).
fof(f4195,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(forward_demodulation,[],[f4168,f3906]) ).
fof(f4211,plain,
( sF1 = join(sF0,sF1)
| ~ spl2_1
| ~ spl2_2 ),
inference(forward_demodulation,[],[f4136,f16]) ).
fof(f4246,plain,
( sF0 = join(sF1,sF0)
| ~ spl2_1
| ~ spl2_2 ),
inference(forward_demodulation,[],[f4091,f16]) ).
fof(f4253,plain,
( sF0 = join(sF0,sF1)
| ~ spl2_1
| ~ spl2_2 ),
inference(forward_demodulation,[],[f4246,f4195]) ).
fof(f4255,plain,
( sF0 = sF1
| ~ spl2_1
| ~ spl2_2 ),
inference(forward_demodulation,[],[f4253,f4211]) ).
fof(f4258,plain,
( $false
| ~ spl2_1
| ~ spl2_2
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f4255,f21]) ).
fof(f4259,plain,
( ~ spl2_1
| ~ spl2_2
| spl2_3 ),
inference(avatar_contradiction_clause,[],[f4258]) ).
cnf(s1,plain,
spl2_1,
inference(sat_conversion,[],[f12]) ).
cnf(s2,plain,
spl2_2,
inference(sat_conversion,[],[f17]) ).
cnf(s3,plain,
~ spl2_3,
inference(sat_conversion,[],[f22]) ).
cnf(s21,plain,
( ~ spl2_1
| ~ spl2_2
| spl2_3 ),
inference(sat_conversion,[],[f4259]) ).
cnf(s22,plain,
~ spl2_1,
inference(rat,[],[s21,s3,s2]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s1,s22]) ).
fof(f4260,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT084-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n005.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 13:59:47 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.60/2.51 % (4009689)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.60/2.51 % (4009761)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=2516163853:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.60/2.51 % (4009763)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4028958104:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.60/2.51 % (4009762)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=3259779123:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.60/2.51 % (4009764)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=170409517:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.60/2.51 % (4009766)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1688820765:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.60/2.51 % (4009765)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4284748206:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.60/2.51 % (4009768)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1138616787:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.60/2.51 % (4009764)Instruction limit reached!
% 5.60/2.51 % (4009764)------------------------------
% 5.60/2.51 % (4009764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/2.51 % (4009764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/2.51 % (4009764)CaDiCaL version: 2.1.3
% 5.60/2.51 % (4009764)Termination reason: Instruction limit
% 5.60/2.51 % (4009764)Termination phase: Saturation
% 5.60/2.51 % (4009764)Time elapsed: 0.106 s
% 5.60/2.51 % (4009764)Peak memory usage: 90 MB
% 5.60/2.51 % (4009764)Instructions burned: 138 (million)
% 5.60/2.51 % (4009765)Instruction limit reached!
% 5.60/2.51 % (4009765)------------------------------
% 5.60/2.51 % (4009765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/2.51 % (4009765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/2.51 % (4009765)CaDiCaL version: 2.1.3
% 5.60/2.51 % (4009765)Termination reason: Instruction limit
% 5.60/2.51 % (4009765)Termination phase: Saturation
% 5.60/2.51 % (4009765)Time elapsed: 0.172 s
% 5.60/2.51 % (4009765)Peak memory usage: 89 MB
% 5.60/2.51 % (4009765)Instructions burned: 181 (million)
% 5.60/2.51 % (4009766)Instruction limit reached!
% 5.60/2.51 % (4009766)------------------------------
% 5.60/2.51 % (4009766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/2.51 % (4009766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/2.51 % (4009766)CaDiCaL version: 2.1.3
% 5.60/2.51 % (4009766)Termination reason: Instruction limit
% 5.60/2.51 % (4009766)Termination phase: Saturation
% 5.60/2.51 % (4009766)Time elapsed: 0.191 s
% 5.60/2.51 % (4009766)Peak memory usage: 92 MB
% 5.60/2.51 % (4009766)Instructions burned: 258 (million)
% 5.60/2.51 % (4009793)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3605689112:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 5.60/2.51 % (4009798)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3913735730:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 5.60/2.51 % (4009796)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2236663976:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 5.60/2.51 % (4009798)Instruction limit reached!
% 5.60/2.51 % (4009798)------------------------------
% 5.60/2.51 % (4009798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/2.51 % (4009798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/2.51 % (4009798)CaDiCaL version: 2.1.3
% 5.60/2.51 % (4009798)Termination reason: Instruction limit
% 5.60/2.51 % (4009798)Termination phase: Saturation
% 5.60/2.51 % (4009798)Time elapsed: 0.230 s
% 5.60/2.51 % (4009798)Peak memory usage: 130 MB
% 5.60/2.51 % (4009798)Instructions burned: 215 (million)
% 5.60/2.51 % (4009768)Instruction limit reached!
% 5.60/2.51 % (4009768)------------------------------
% 5.60/2.51 % (4009768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/2.51 % (4009768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/2.51 % (4009768)CaDiCaL version: 2.1.3
% 5.60/2.51 % (4009768)Termination reason: Instruction limit
% 5.60/2.51 % (4009768)Termination phase: Saturation
% 5.60/2.51 % (4009768)Time elapsed: 0.805 s
% 5.60/2.51 % (4009768)Peak memory usage: 105 MB
% 5.60/2.51 % (4009768)Instructions burned: 1187 (million)
% 5.60/2.51 % (4009808)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=1278985293:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 5.60/2.51 % (4009761)First to succeed.
% 5.60/2.51 % (4009761)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4009689"
% 5.60/2.51 % (4009809)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=3334067920:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/12125Mi)
% 5.60/2.51 % (4009808)Instruction limit reached!
% 5.60/2.51 % (4009808)------------------------------
% 5.60/2.51 % (4009808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/2.51 % (4009808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/2.51 % (4009808)CaDiCaL version: 2.1.3
% 5.60/2.51 % (4009808)Termination reason: Instruction limit
% 5.60/2.51 % (4009808)Termination phase: Saturation
% 5.60/2.51 % (4009808)Time elapsed: 0.287 s
% 5.60/2.51 % (4009808)Peak memory usage: 91 MB
% 5.60/2.51 % (4009808)Instructions burned: 317 (million)
% 5.60/2.51 % (4009761)Refutation found. Thanks to Tanya!
% 5.60/2.51 % SZS status Unsatisfiable for theBenchmark
% 5.60/2.51 % SZS output start Proof for theBenchmark
% See solution above
% 12.01/2.75 % (4009761)------------------------------
% 12.01/2.75 % (4009761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.01/2.75 % (4009761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.01/2.75 % (4009761)CaDiCaL version: 2.1.3
% 12.01/2.75 % (4009761)Termination reason: Refutation
% 12.01/2.75 % (4009761)Time elapsed: 1.163 s
% 12.01/2.75 % (4009761)Peak memory usage: 139 MB
% 12.01/2.75 % (4009761)Instructions burned: 2482 (million)
% 12.01/2.75 % (4009761)------------------------------
% 12.01/2.75 % (4009761)------------------------------
% 12.01/2.75 % (4009689)Success in time 1.638 s
% 12.01/2.75 % Vampire exiting
%------------------------------------------------------------------------------