%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT095-1 : 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 : n013.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 11:46:00 AM UTC 2026
% Result : Unsatisfiable 9.44s 2.37s
% Output : Refutation 10.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 7
% Syntax : Number of formulae : 110 ( 95 unt; 5 def)
% Number of atoms : 133 ( 98 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 24 ~; 20 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 15 ( 2 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 : 193 ( 0 sgn 193 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] : join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X3),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X1,X3),join(X4,X1)),X1)))),join(X0,join(join(meet(X1,X3),meet(X4,X1)),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(b,a) != join(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wal_axioms_4) ).
fof(f3,definition,
sF0 = join(b,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f4,plain,
join(b,a) = sF0,
inference(reorient_equations,[],[f3]) ).
fof(f5,definition,
sF1 = join(a,b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f6,plain,
join(a,b) = sF1,
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
sF0 != sF1,
inference(definition_folding,[],[f2,f6,f4]) ).
fof(f9,definition,
( spl2_1
<=> join(a,b) = sF1 ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f11,plain,
( join(a,b) = 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(b,a) = sF0 ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f16,plain,
( join(b,a) = 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(join(meet(X2,X0),meet(X0,join(X2,X0))),X4),meet(X5,join(meet(X2,X0),meet(X0,join(X2,X0))))),join(meet(X2,X0),meet(X0,join(X2,X0))))),meet(X0,join(X1,join(join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X4),meet(X5,join(meet(X2,X0),meet(X0,join(X2,X0))))),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(f40,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : join(meet(join(meet(X5,X0),meet(X0,join(X5,X0))),X6),meet(join(meet(X5,join(join(meet(X0,X7),meet(X8,X0)),X0)),meet(join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))),join(X5,join(join(meet(X0,X7),meet(X8,X0)),X0)))),join(join(meet(X5,X0),meet(X0,join(X5,X0))),X6))) = X0,
inference(superposition,[],[f29,f1]) ).
fof(f60,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,[],[f40,f1]) ).
fof(f87,plain,
! [X2,X0] : join(meet(X0,X2),meet(X0,join(X0,X2))) = X0,
inference(superposition,[],[f60,f60]) ).
fof(f91,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(X0,X4),meet(X5,X0)),X0)),meet(X0,join(X2,join(join(meet(X0,X4),meet(X5,X0)),X0)))),join(join(meet(X2,X0),meet(X0,join(X2,X0))),X3))) = X0,
inference(superposition,[],[f29,f60]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : join(meet(join(meet(X4,X0),meet(X0,join(X4,X0))),X5),meet(join(meet(X4,join(join(meet(X0,X6),meet(X7,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)),meet(X3,join(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)))),join(X4,join(join(meet(X0,X6),meet(X7,X0)),X0)))),join(join(meet(X4,X0),meet(X0,join(X4,X0))),X5))) = X0,
inference(superposition,[],[f40,f60]) ).
fof(f139,plain,
! [X2,X3,X0,X1,X6,X4,X5] : join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))) = join(meet(X0,X4),meet(join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))),X5),meet(X6,join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))))),join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))))),meet(join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))),join(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))),X5),meet(X6,join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))))),join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))))))),join(X0,X4))),
inference(superposition,[],[f91,f91]) ).
fof(f157,plain,
! [X2,X3,X0,X1,X4] : join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))) = join(meet(X0,X4),meet(X0,join(X0,X4))),
inference(forward_demodulation,[],[f139,f91]) ).
fof(f164,plain,
! [X2,X3,X0,X1] : join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))) = X0,
inference(forward_demodulation,[],[f157,f87]) ).
fof(f187,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,[],[f91,f164]) ).
fof(f350,plain,
! [X2,X3,X0,X1,X6,X4,X5] : join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X4),join(X5,X0)),X0)),meet(X6,join(X0,meet(meet(join(X0,X4),join(X5,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))) = X0,
inference(superposition,[],[f164,f93]) ).
fof(f436,plain,
! [X2,X3,X0,X4] : join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))) = X0,
inference(superposition,[],[f187,f350]) ).
fof(f501,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(superposition,[],[f187,f436]) ).
fof(f502,plain,
! [X2,X3,X0,X1] : meet(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)) = join(meet(meet(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)),meet(X3,join(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)))),meet(meet(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)),X0)),
inference(superposition,[],[f87,f436]) ).
fof(f537,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(meet(X1,X0),meet(X0,join(X1,X0))),meet(meet(X0,join(X1,X0)),X0)),
inference(superposition,[],[f501,f501]) ).
fof(f543,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(superposition,[],[f436,f501]) ).
fof(f549,plain,
! [X3,X0] : meet(X0,X0) = join(meet(meet(X0,X0),meet(X3,join(X0,X0))),meet(meet(X0,X0),X0)),
inference(backward_demodulation,[],[f502,f543]) ).
fof(f551,plain,
! [X0,X4] : join(meet(X0,X0),meet(X4,join(X0,X0))) = X0,
inference(backward_demodulation,[],[f436,f543]) ).
fof(f567,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(superposition,[],[f164,f551]) ).
fof(f590,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(superposition,[],[f543,f567]) ).
fof(f597,plain,
! [X0,X1] : join(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[],[f567,f543]) ).
fof(f611,plain,
! [X0,X1] : join(meet(join(meet(X0,X1),X0),X0),meet(X0,X0)) = X0,
inference(superposition,[],[f501,f597]) ).
fof(f620,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X0,meet(X1,X0)),meet(X1,X0)),
inference(superposition,[],[f590,f501]) ).
fof(f625,plain,
! [X0,X1] : join(meet(X0,X1),X0) = meet(meet(X0,join(meet(X0,X1),X0)),join(meet(X0,X1),X0)),
inference(superposition,[],[f590,f597]) ).
fof(f633,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(join(X0,meet(join(X0,X1),X0)),meet(join(X0,X1),X0)),
inference(superposition,[],[f597,f590]) ).
fof(f665,plain,
! [X0] : meet(meet(X0,X0),X0) = X0,
inference(superposition,[],[f620,f590]) ).
fof(f672,plain,
! [X0,X1] : meet(X1,meet(X0,X1)) = join(join(meet(X0,X1),meet(X1,meet(X0,X1))),meet(X1,meet(X0,X1))),
inference(superposition,[],[f597,f620]) ).
fof(f676,plain,
! [X3,X0] : meet(X0,X0) = join(meet(meet(X0,X0),meet(X3,join(X0,X0))),X0),
inference(backward_demodulation,[],[f549,f665]) ).
fof(f677,plain,
! [X0] : meet(X0,X0) = join(X0,meet(meet(X0,X0),join(meet(X0,X0),X0))),
inference(superposition,[],[f87,f665]) ).
fof(f678,plain,
! [X0] : join(X0,meet(X0,join(meet(X0,X0),X0))) = X0,
inference(superposition,[],[f501,f665]) ).
fof(f693,plain,
! [X0,X1] : meet(meet(X0,X0),meet(X1,join(X0,X0))) = join(meet(meet(meet(X0,X0),meet(X1,join(X0,X0))),X0),meet(meet(meet(X0,X0),meet(X1,join(X0,X0))),meet(X0,X0))),
inference(superposition,[],[f87,f676]) ).
fof(f722,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(superposition,[],[f543,f678]) ).
fof(f726,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(meet(X1,X0),meet(X0,join(X1,X0))),X0),
inference(backward_demodulation,[],[f537,f722]) ).
fof(f729,plain,
! [X0] : meet(X0,X0) = meet(meet(meet(X0,X0),X0),meet(X0,X0)),
inference(superposition,[],[f722,f611]) ).
fof(f732,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = meet(meet(meet(X0,join(X1,X0)),X0),meet(X0,join(X1,X0))),
inference(superposition,[],[f722,f501]) ).
fof(f742,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(meet(X0,join(X1,X0)),join(meet(X0,join(X1,X0)),X0))),
inference(superposition,[],[f87,f722]) ).
fof(f751,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = meet(X0,meet(X0,join(X1,X0))),
inference(forward_demodulation,[],[f732,f722]) ).
fof(f752,plain,
! [X0] : meet(X0,X0) = meet(X0,meet(X0,X0)),
inference(forward_demodulation,[],[f729,f665]) ).
fof(f759,plain,
! [X0] : meet(X0,X0) = meet(meet(X0,X0),meet(X0,X0)),
inference(superposition,[],[f620,f752]) ).
fof(f796,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),X0),
inference(superposition,[],[f726,f722]) ).
fof(f820,plain,
! [X0] : meet(X0,X0) = meet(X0,join(X0,X0)),
inference(superposition,[],[f676,f726]) ).
fof(f845,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0),
inference(forward_demodulation,[],[f796,f751]) ).
fof(f855,plain,
! [X0] : meet(X0,X0) = join(meet(meet(X0,X0),meet(X0,X0)),X0),
inference(superposition,[],[f676,f820]) ).
fof(f865,plain,
! [X0] : meet(X0,X0) = join(meet(X0,X0),X0),
inference(forward_demodulation,[],[f855,f759]) ).
fof(f869,plain,
! [X0] : meet(X0,X0) = join(X0,meet(meet(X0,X0),meet(X0,X0))),
inference(backward_demodulation,[],[f677,f865]) ).
fof(f870,plain,
! [X0] : join(X0,meet(X0,meet(X0,X0))) = X0,
inference(backward_demodulation,[],[f678,f865]) ).
fof(f871,plain,
! [X0] : join(X0,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f870,f752]) ).
fof(f872,plain,
! [X0] : meet(X0,X0) = join(X0,meet(X0,X0)),
inference(forward_demodulation,[],[f869,f759]) ).
fof(f880,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f872,f871]) ).
fof(f885,plain,
! [X0,X4] : join(X0,meet(X4,join(X0,X0))) = X0,
inference(backward_demodulation,[],[f551,f880]) ).
fof(f896,plain,
! [X3,X0] : join(meet(X0,meet(X3,join(X0,X0))),X0) = X0,
inference(backward_demodulation,[],[f676,f880]) ).
fof(f900,plain,
! [X0,X1] : meet(X0,meet(X1,join(X0,X0))) = join(meet(meet(X0,meet(X1,join(X0,X0))),X0),meet(meet(X0,meet(X1,join(X0,X0))),X0)),
inference(backward_demodulation,[],[f693,f880]) ).
fof(f925,plain,
! [X0] : join(X0,X0) = X0,
inference(backward_demodulation,[],[f871,f880]) ).
fof(f961,plain,
! [X0,X1] : meet(X0,meet(X1,join(X0,X0))) = meet(meet(X0,meet(X1,join(X0,X0))),X0),
inference(forward_demodulation,[],[f900,f925]) ).
fof(f963,plain,
! [X3,X0] : join(meet(X0,meet(X3,X0)),X0) = X0,
inference(forward_demodulation,[],[f896,f925]) ).
fof(f969,plain,
! [X0,X4] : join(X0,meet(X4,X0)) = X0,
inference(forward_demodulation,[],[f885,f925]) ).
fof(f982,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(meet(X0,meet(X1,X0)),X0),
inference(forward_demodulation,[],[f961,f925]) ).
fof(f989,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(X0,meet(join(X0,X1),X0)),
inference(backward_demodulation,[],[f633,f969]) ).
fof(f991,plain,
! [X0,X1] : meet(X1,meet(X0,X1)) = join(meet(X0,X1),meet(X1,meet(X0,X1))),
inference(backward_demodulation,[],[f672,f969]) ).
fof(f1006,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[],[f991,f969]) ).
fof(f1007,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f989,f969]) ).
fof(f1029,plain,
! [X3,X0] : join(meet(X3,X0),X0) = X0,
inference(backward_demodulation,[],[f963,f1006]) ).
fof(f1031,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(backward_demodulation,[],[f982,f1006]) ).
fof(f1056,plain,
! [X0,X1] : join(meet(X0,X1),X0) = meet(X0,join(meet(X0,X1),X0)),
inference(backward_demodulation,[],[f625,f1031]) ).
fof(f1070,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = join(join(meet(X0,join(X1,X0)),X0),X0),
inference(backward_demodulation,[],[f845,f1056]) ).
fof(f1074,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f1070,f597]) ).
fof(f1076,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(meet(X0,join(X1,X0)),X0)),
inference(backward_demodulation,[],[f742,f1074]) ).
fof(f1081,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(forward_demodulation,[],[f1076,f969]) ).
fof(f1096,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(backward_demodulation,[],[f1056,f1081]) ).
fof(f1176,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f1096,f1007]) ).
fof(f1194,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f1029,f1081]) ).
fof(f1232,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(superposition,[],[f1007,f1194]) ).
fof(f1250,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(superposition,[],[f87,f1176]) ).
fof(f1258,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[],[f1250,f925]) ).
fof(f1288,plain,
! [X2,X0,X1] : join(X0,X1) = join(join(meet(join(X0,X1),X2),X0),join(X0,X1)),
inference(superposition,[],[f567,f1258]) ).
fof(f1289,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f969,f1258]) ).
fof(f1505,plain,
! [X0,X1] : join(X1,X0) = join(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f1288,f1232]) ).
fof(f1564,plain,
( join(b,a) = join(sF1,join(b,a))
| ~ spl2_1 ),
inference(superposition,[],[f1505,f11]) ).
fof(f1580,plain,
( sF1 = join(join(b,a),sF1)
| ~ spl2_1 ),
inference(superposition,[],[f1505,f11]) ).
fof(f1592,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f1289,f1505]) ).
fof(f1593,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(forward_demodulation,[],[f1592,f1505]) ).
fof(f1597,plain,
( sF1 = join(sF0,sF1)
| ~ spl2_1
| ~ spl2_2 ),
inference(forward_demodulation,[],[f1580,f16]) ).
fof(f1612,plain,
( sF0 = join(sF1,sF0)
| ~ spl2_1
| ~ spl2_2 ),
inference(forward_demodulation,[],[f1564,f16]) ).
fof(f1616,plain,
( sF0 = join(sF0,sF1)
| ~ spl2_1
| ~ spl2_2 ),
inference(forward_demodulation,[],[f1612,f1593]) ).
fof(f1618,plain,
( sF0 = sF1
| ~ spl2_1
| ~ spl2_2 ),
inference(forward_demodulation,[],[f1616,f1597]) ).
fof(f1621,plain,
( $false
| ~ spl2_1
| ~ spl2_2
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f1618,f21]) ).
fof(f1622,plain,
( ~ spl2_1
| ~ spl2_2
| spl2_3 ),
inference(avatar_contradiction_clause,[],[f1621]) ).
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(s13,plain,
( ~ spl2_1
| ~ spl2_2
| spl2_3 ),
inference(sat_conversion,[],[f1622]) ).
cnf(s14,plain,
~ spl2_1,
inference(rat,[],[s13,s3,s2]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s1,s14]) ).
fof(f1623,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT095-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n013.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 13:59:37 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.46 Running first-order theorem proving
% 0.11/0.46 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
% 9.44/2.37 % (252425)Detected a unit-equality problem, will run specialized UEQ schedule.
% 9.44/2.37 % (252439)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=1776502375:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 9.44/2.37 % (252441)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3770190200:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 9.44/2.37 % (252444)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1052197586:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 9.44/2.37 % (252445)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1483449913:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 9.44/2.37 % (252442)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1334978007:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 9.44/2.37 % (252440)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=3693223062:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 9.44/2.37 % (252443)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3420056176:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 9.44/2.37 % (252442)Instruction limit reached!
% 9.44/2.37 % (252442)------------------------------
% 9.44/2.37 % (252442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.37 % (252442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.37 % (252442)CaDiCaL version: 2.1.3
% 9.44/2.37 % (252442)Termination reason: Instruction limit
% 9.44/2.37 % (252442)Termination phase: Saturation
% 9.44/2.37 % (252442)Time elapsed: 0.101 s
% 9.44/2.37 % (252442)Peak memory usage: 90 MB
% 9.44/2.37 % (252442)Instructions burned: 136 (million)
% 9.44/2.37 % (252443)Instruction limit reached!
% 9.44/2.37 % (252443)------------------------------
% 9.44/2.37 % (252443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.37 % (252443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.37 % (252443)CaDiCaL version: 2.1.3
% 9.44/2.37 % (252443)Termination reason: Instruction limit
% 9.44/2.37 % (252443)Termination phase: Saturation
% 9.44/2.37 % (252443)Time elapsed: 0.159 s
% 9.44/2.37 % (252443)Peak memory usage: 89 MB
% 9.44/2.37 % (252443)Instructions burned: 181 (million)
% 9.44/2.37 % (252444)Instruction limit reached!
% 9.44/2.37 % (252444)------------------------------
% 9.44/2.37 % (252444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.37 % (252444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.37 % (252444)CaDiCaL version: 2.1.3
% 9.44/2.37 % (252444)Termination reason: Instruction limit
% 9.44/2.37 % (252444)Termination phase: Saturation
% 9.44/2.37 % (252444)Time elapsed: 0.193 s
% 9.44/2.37 % (252444)Peak memory usage: 93 MB
% 9.44/2.37 % (252444)Instructions burned: 259 (million)
% 9.44/2.37 % (252457)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=649338887:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 9.44/2.37 % (252455)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2977523921:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 9.44/2.37 % (252458)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2463687491:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 9.44/2.37 % (252458)Instruction limit reached!
% 9.44/2.37 % (252458)------------------------------
% 9.44/2.37 % (252458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.37 % (252458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.37 % (252458)CaDiCaL version: 2.1.3
% 9.44/2.37 % (252458)Termination reason: Instruction limit
% 9.44/2.37 % (252458)Termination phase: Saturation
% 9.44/2.37 % (252458)Time elapsed: 0.216 s
% 9.44/2.37 % (252458)Peak memory usage: 129 MB
% 9.44/2.37 % (252458)Instructions burned: 215 (million)
% 9.44/2.37 % (252462)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=4086606232:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 9.44/2.37 % (252445)Instruction limit reached!
% 9.44/2.37 % (252445)------------------------------
% 9.44/2.37 % (252445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.37 % (252445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.37 % (252445)CaDiCaL version: 2.1.3
% 9.44/2.37 % (252445)Termination reason: Instruction limit
% 9.44/2.37 % (252445)Termination phase: Saturation
% 9.44/2.37 % (252445)Time elapsed: 0.900 s
% 9.44/2.37 % (252445)Peak memory usage: 102 MB
% 9.44/2.37 % (252445)Instructions burned: 1187 (million)
% 9.44/2.37 % (252439)First to succeed.
% 9.44/2.37 % (252439)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-252425"
% 9.44/2.37 % (252465)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=2110912440:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/12125Mi)
% 9.44/2.37 % (252462)Instruction limit reached!
% 9.44/2.37 % (252462)------------------------------
% 9.44/2.37 % (252462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.37 % (252462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.37 % (252462)CaDiCaL version: 2.1.3
% 9.44/2.37 % (252462)Termination reason: Instruction limit
% 9.44/2.37 % (252462)Termination phase: Saturation
% 9.44/2.37 % (252462)Time elapsed: 0.259 s
% 9.44/2.37 % (252462)Peak memory usage: 90 MB
% 9.44/2.37 % (252462)Instructions burned: 317 (million)
% 9.44/2.37 % (252439)Refutation found. Thanks to Tanya!
% 9.44/2.37 % SZS status Unsatisfiable for theBenchmark
% 9.44/2.37 % SZS output start Proof for theBenchmark
% See solution above
% 10.19/2.58 % (252439)------------------------------
% 10.19/2.58 % (252439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.58 % (252439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.58 % (252439)CaDiCaL version: 2.1.3
% 10.19/2.58 % (252439)Termination reason: Refutation
% 10.19/2.58 % (252439)Time elapsed: 1.012 s
% 10.19/2.58 % (252439)Peak memory usage: 137 MB
% 10.19/2.58 % (252439)Instructions burned: 2095 (million)
% 10.19/2.58 % (252439)------------------------------
% 10.19/2.58 % (252439)------------------------------
% 10.19/2.58 % (252425)Success in time 1.345 s
% 10.19/2.58 % Vampire exiting
%------------------------------------------------------------------------------