%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT030-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 11:47:42 AM UTC 2026
% Result : Unsatisfiable 5.45s 1.26s
% Output : Refutation 5.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 8
% Syntax : Number of formulae : 120 ( 95 unt; 6 def)
% Number of atoms : 161 ( 108 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 74 ( 33 ~; 35 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 17 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 206 ( 0 sgn 206 !; 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/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
( meet(a,a) != a
| meet(b,a) != meet(a,b)
| join(a,a) != a
| join(b,a) != join(a,b)
| meet(meet(join(a,b),join(c,b)),b) != b
| join(join(meet(a,b),meet(c,b)),b) != b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wal_axioms) ).
fof(f3,plain,
( a != meet(a,a)
| meet(b,a) != meet(a,b)
| a != join(a,a)
| join(b,a) != join(a,b)
| b != meet(meet(join(a,b),join(c,b)),b)
| b != join(join(meet(a,b),meet(c,b)),b) ),
inference(reorient_equations,[],[f2]) ).
fof(f5,definition,
( spl0_1
<=> b = join(join(meet(a,b),meet(c,b)),b) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f7,plain,
( b != join(join(meet(a,b),meet(c,b)),b)
| spl0_1 ),
inference(avatar_component_clause,[],[f5]) ).
fof(f9,definition,
( spl0_2
<=> b = meet(meet(join(a,b),join(c,b)),b) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f11,plain,
( b != meet(meet(join(a,b),join(c,b)),b)
| spl0_2 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f13,definition,
( spl0_3
<=> join(b,a) = join(a,b) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f15,plain,
( join(b,a) != join(a,b)
| spl0_3 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f17,definition,
( spl0_4
<=> a = join(a,a) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f19,plain,
( a != join(a,a)
| spl0_4 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f21,definition,
( spl0_5
<=> meet(b,a) = meet(a,b) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f23,plain,
( meet(b,a) != meet(a,b)
| spl0_5 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f25,definition,
( spl0_6
<=> a = meet(a,a) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f27,plain,
( a != meet(a,a)
| spl0_6 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f28,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f3,f25,f21,f17,f13,f9,f5]) ).
fof(f31,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(f38,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,[],[f31,f1]) ).
fof(f54,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,[],[f38,f1]) ).
fof(f77,plain,
! [X2,X0] : join(meet(X0,X2),meet(X0,join(X0,X2))) = X0,
inference(superposition,[],[f54,f54]) ).
fof(f81,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,[],[f31,f54]) ).
fof(f99,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0)),
inference(superposition,[],[f77,f77]) ).
fof(f234,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : 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(meet(X0,X5),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(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)))),X6),meet(X7,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(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)))))),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(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(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)))),X6),meet(X7,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(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(X0,X5))),
inference(superposition,[],[f81,f1]) ).
fof(f236,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,[],[f81,f81]) ).
fof(f268,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,[],[f236,f81]) ).
fof(f270,plain,
! [X2,X3,X0,X1,X4,X5] : 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(meet(X0,X5),meet(X0,join(X0,X5))),
inference(forward_demodulation,[],[f234,f1]) ).
fof(f279,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,[],[f268,f77]) ).
fof(f281,plain,
! [X2,X3,X0,X1,X4] : 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)))) = X0,
inference(forward_demodulation,[],[f270,f77]) ).
fof(f408,plain,
! [X2,X3,X0,X1] : 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)))) = X0,
inference(superposition,[],[f281,f54]) ).
fof(f481,plain,
! [X0,X1] : join(meet(X1,X0),meet(X0,join(X1,X0))) = X0,
inference(superposition,[],[f408,f1]) ).
fof(f567,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(superposition,[],[f481,f408]) ).
fof(f680,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X0,join(X2,meet(X1,X0))),meet(X1,X0)),
inference(superposition,[],[f567,f481]) ).
fof(f700,plain,
! [X3,X0] : join(meet(X0,X0),meet(X3,join(X0,X0))) = X0,
inference(superposition,[],[f408,f567]) ).
fof(f732,plain,
! [X2,X0,X1] : join(meet(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)),join(X0,meet(meet(join(X0,X1),join(X2,X0)),X0))) = X0,
inference(superposition,[],[f408,f567]) ).
fof(f764,plain,
! [X0] : join(meet(X0,X0),join(X0,X0)) = X0,
inference(forward_demodulation,[],[f732,f567]) ).
fof(f892,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(superposition,[],[f700,f279]) ).
fof(f986,plain,
! [X0,X1] : join(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[],[f892,f567]) ).
fof(f1018,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(superposition,[],[f567,f892]) ).
fof(f1216,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,meet(X0,X1)),meet(X0,X1)),
inference(superposition,[],[f1018,f77]) ).
fof(f1217,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X0,meet(X1,X0)),meet(X1,X0)),
inference(superposition,[],[f1018,f481]) ).
fof(f1532,plain,
! [X0,X1] : meet(meet(meet(join(X0,X1),X0),X0),X0) = X0,
inference(superposition,[],[f1216,f1018]) ).
fof(f1588,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f1532,f1018]) ).
fof(f1623,plain,
! [X0] : join(X0,join(X0,X0)) = X0,
inference(superposition,[],[f764,f1588]) ).
fof(f1665,plain,
! [X0] : meet(join(X0,X0),X0) = X0,
inference(superposition,[],[f567,f1588]) ).
fof(f1853,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(superposition,[],[f567,f1623]) ).
fof(f2071,plain,
! [X0] : join(X0,X0) = join(join(X0,join(X0,X0)),join(X0,X0)),
inference(superposition,[],[f986,f1665]) ).
fof(f2114,plain,
! [X0] : join(X0,X0) = join(X0,join(X0,X0)),
inference(forward_demodulation,[],[f2071,f1623]) ).
fof(f2157,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f2114,f1623]) ).
fof(f2266,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,X0)) = X0,
inference(superposition,[],[f700,f2157]) ).
fof(f2337,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[],[f2266,f1588]) ).
fof(f2702,plain,
! [X0,X1] : join(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))) = X0,
inference(superposition,[],[f481,f1853]) ).
fof(f3454,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,[],[f986,f1217]) ).
fof(f3466,plain,
! [X0,X1] : meet(X1,meet(X0,X1)) = join(meet(X0,X1),meet(X1,meet(X0,X1))),
inference(forward_demodulation,[],[f3454,f2337]) ).
fof(f3497,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[],[f3466,f2337]) ).
fof(f3569,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X1,meet(X0,X1)))) = X1,
inference(superposition,[],[f77,f3497]) ).
fof(f3573,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),meet(X1,join(X1,meet(X0,X1)))),meet(meet(X0,X1),X1)),
inference(superposition,[],[f99,f3497]) ).
fof(f3581,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X1)),X1) = X1,
inference(superposition,[],[f892,f3497]) ).
fof(f3619,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),meet(X1,X1)),meet(meet(X0,X1),X1)),
inference(forward_demodulation,[],[f3573,f2337]) ).
fof(f3623,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X1)) = X1,
inference(forward_demodulation,[],[f3569,f2337]) ).
fof(f3656,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),X1),meet(meet(X0,X1),X1)),
inference(forward_demodulation,[],[f3619,f1588]) ).
fof(f3659,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(forward_demodulation,[],[f3623,f1588]) ).
fof(f3689,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X1),
inference(forward_demodulation,[],[f3656,f2157]) ).
fof(f3993,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(superposition,[],[f3689,f1018]) ).
fof(f3995,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f3689,f1216]) ).
fof(f4688,plain,
( b != b
| spl0_1 ),
inference(superposition,[],[f7,f3581]) ).
fof(f4727,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f4688]) ).
fof(f4728,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f4727]) ).
fof(f5721,plain,
! [X0,X1] : meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))) = join(meet(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),meet(X0,X0)),meet(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),X0)),
inference(superposition,[],[f99,f2702]) ).
fof(f5764,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(X0,X0)),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)),
inference(forward_demodulation,[],[f5721,f3995]) ).
fof(f5822,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(X0,X0)),X0),
inference(forward_demodulation,[],[f5764,f1853]) ).
fof(f5864,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0),X0),
inference(forward_demodulation,[],[f5822,f1588]) ).
fof(f5893,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = X0,
inference(forward_demodulation,[],[f5864,f3659]) ).
fof(f6020,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = join(join(meet(X0,join(X1,X0)),X0),X0),
inference(superposition,[],[f2337,f5893]) ).
fof(f6047,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f6020,f986]) ).
fof(f6264,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(meet(X0,join(X1,X0)),X0),meet(meet(X0,join(X1,X0)),X0)),
inference(superposition,[],[f77,f6047]) ).
fof(f6320,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = meet(meet(X0,join(X1,X0)),X0),
inference(forward_demodulation,[],[f6264,f2157]) ).
fof(f6370,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(forward_demodulation,[],[f6320,f1853]) ).
fof(f6591,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f2337,f6370]) ).
fof(f6595,plain,
! [X2,X0,X1] : join(X1,X0) = join(join(X0,meet(X2,join(X1,X0))),join(X1,X0)),
inference(superposition,[],[f3581,f6370]) ).
fof(f6597,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f3659,f6370]) ).
fof(f7251,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f6591,f986]) ).
fof(f7539,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f7251,f3993]) ).
fof(f7559,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),X0),meet(meet(X0,X1),X0)),
inference(superposition,[],[f77,f7251]) ).
fof(f7619,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(forward_demodulation,[],[f7559,f2157]) ).
fof(f7809,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X1)),X1) = X1,
inference(superposition,[],[f567,f6597]) ).
fof(f8306,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(superposition,[],[f77,f7539]) ).
fof(f8358,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[],[f8306,f2157]) ).
fof(f9005,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f2337,f7619]) ).
fof(f9941,plain,
( b != b
| spl0_2 ),
inference(superposition,[],[f11,f7809]) ).
fof(f9942,plain,
( $false
| spl0_2 ),
inference(trivial_inequality_removal,[],[f9941]) ).
fof(f9943,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f9942]) ).
fof(f14729,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f680,f9005]) ).
fof(f15053,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,[],[f99,f14729]) ).
fof(f15110,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,[],[f15053,f14729]) ).
fof(f15154,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),meet(X1,X0)),meet(X1,X0)),
inference(forward_demodulation,[],[f15110,f8358]) ).
fof(f15176,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[],[f15154,f3659]) ).
fof(f20813,plain,
! [X0,X1] : join(X0,X1) = join(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f6595,f8358]) ).
fof(f21339,plain,
! [X0,X1] : join(X1,X0) = meet(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f3993,f20813]) ).
fof(f21898,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,[],[f99,f21339]) ).
fof(f22006,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,[],[f21898,f21339]) ).
fof(f22130,plain,
! [X0,X1] : join(X0,X1) = join(meet(join(X0,X1),join(X1,X0)),join(X1,X0)),
inference(forward_demodulation,[],[f22006,f8358]) ).
fof(f22210,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(forward_demodulation,[],[f22130,f3659]) ).
fof(f22598,plain,
( join(a,b) != join(a,b)
| spl0_3 ),
inference(superposition,[],[f15,f22210]) ).
fof(f22756,plain,
( $false
| spl0_3 ),
inference(trivial_inequality_removal,[],[f22598]) ).
fof(f22757,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f22756]) ).
fof(f23390,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f19,f2157]) ).
fof(f23391,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f23390]) ).
fof(f23392,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f23,f15176]) ).
fof(f23393,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f23392]) ).
fof(f23394,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f27,f1588]) ).
fof(f23395,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f23394]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f28]) ).
cnf(s1329,plain,
spl0_1,
inference(sat_conversion,[],[f4728]) ).
cnf(s1872,plain,
spl0_2,
inference(sat_conversion,[],[f9943]) ).
cnf(s3061,plain,
spl0_3,
inference(sat_conversion,[],[f22757]) ).
cnf(s3108,plain,
spl0_4,
inference(sat_conversion,[],[f23391]) ).
cnf(s3109,plain,
spl0_5,
inference(sat_conversion,[],[f23393]) ).
cnf(s3110,plain,
spl0_6,
inference(sat_conversion,[],[f23395]) ).
cnf(s3111,plain,
$false,
inference(rat,[],[s4,s3110,s3109,s3108,s3061,s1872,s1329]) ).
fof(f23396,plain,
$false,
inference(avatar_sat_refutation,[],[s3111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT030-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 13:57:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.45/1.25 % (2054577)Will run a generic schedule for satisfiability detection.
% 5.45/1.25 % (2054586)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1148801688:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.45/1.25 % (2054583)% WARNING: option uhcvi not known.
% 5.45/1.25 % (2054582)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1130045833_2999 on theBenchmark for (2999ds/0Mi)
% 5.45/1.25 % (2054583)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=891017486:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.45/1.25 % (2054588)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=570147006:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.45/1.25 % (2054584)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4139046020:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.45/1.25 % (2054585)dis+10_1_sil=32000:sp=arity:random_seed=2088314940:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.45/1.25 % (2054587)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3789357550:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.45/1.25 % TRYING [1]
% 5.45/1.25 % TRYING [2]
% 5.45/1.25 % TRYING [3]
% 5.45/1.25 % (2054586)Instruction limit reached!
% 5.45/1.25 % (2054586)------------------------------
% 5.45/1.25 % (2054586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.25 % (2054586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.25 % (2054586)CaDiCaL version: 2.1.3
% 5.45/1.25 % (2054586)Termination reason: Instruction limit
% 5.45/1.25 % (2054586)Termination phase: Saturation
% 5.45/1.25 % (2054586)Time elapsed: 0.034 s
% 5.45/1.25 % (2054586)Peak memory usage: 17 MB
% 5.45/1.25 % (2054586)Instructions burned: 120 (million)
% 5.45/1.25 % (2054596)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4084694531:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.45/1.25 % TRYING [1]
% 5.45/1.25 % TRYING [2]
% 5.45/1.25 % TRYING [3]
% 5.45/1.25 % (2054585)Instruction limit reached!
% 5.45/1.25 % (2054585)------------------------------
% 5.45/1.25 % (2054585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.25 % (2054585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.25 % (2054585)CaDiCaL version: 2.1.3
% 5.45/1.25 % (2054585)Termination reason: Instruction limit
% 5.45/1.25 % (2054585)Termination phase: Saturation
% 5.45/1.25 % (2054585)Time elapsed: 0.054 s
% 5.45/1.25 % (2054585)Peak memory usage: 14 MB
% 5.45/1.25 % (2054585)Instructions burned: 104 (million)
% 5.45/1.25 % (2054587)Instruction limit reached!
% 5.45/1.25 % (2054587)------------------------------
% 5.45/1.25 % (2054587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.25 % (2054587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.25 % (2054587)CaDiCaL version: 2.1.3
% 5.45/1.25 % (2054587)Termination reason: Instruction limit
% 5.45/1.25 % (2054587)Termination phase: Saturation
% 5.45/1.25 % (2054587)Time elapsed: 0.070 s
% 5.45/1.25 % (2054587)Peak memory usage: 17 MB
% 5.45/1.25 % (2054587)Instructions burned: 132 (million)
% 5.45/1.25 % (2054598)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1708545060:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.45/1.25 % (2054588)Instruction limit reached!
% 5.45/1.25 % (2054588)------------------------------
% 5.45/1.26 % (2054588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.26 % (2054588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.26 % (2054588)CaDiCaL version: 2.1.3
% 5.45/1.26 % (2054588)Termination reason: Instruction limit
% 5.45/1.26 % (2054588)Termination phase: Saturation
% 5.45/1.26 % (2054588)Time elapsed: 0.086 s
% 5.45/1.26 % (2054588)Peak memory usage: 14 MB
% 5.45/1.26 % (2054588)Instructions burned: 160 (million)
% 5.45/1.26 % (2054599)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=839041499:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.45/1.26 % (2054601)ott-21_1_sil=16000:fs=off:random_seed=1658116932:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.45/1.26 % (2054598)Instruction limit reached!
% 5.45/1.26 % (2054598)------------------------------
% 5.45/1.26 % (2054598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.26 % (2054598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.26 % (2054598)CaDiCaL version: 2.1.3
% 5.45/1.26 % (2054598)Termination reason: Instruction limit
% 5.45/1.26 % (2054598)Termination phase: Saturation
% 5.45/1.26 % (2054598)Time elapsed: 0.060 s
% 5.45/1.26 % (2054598)Peak memory usage: 14 MB
% 5.45/1.26 % (2054598)Instructions burned: 132 (million)
% 5.45/1.26 % (2054604)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=475866625:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.45/1.26 % (2054601)Instruction limit reached!
% 5.45/1.26 % (2054601)------------------------------
% 5.45/1.26 % (2054601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.26 % (2054601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.26 % (2054601)CaDiCaL version: 2.1.3
% 5.45/1.26 % (2054601)Termination reason: Instruction limit
% 5.45/1.26 % (2054601)Termination phase: Saturation
% 5.45/1.26 % (2054601)Time elapsed: 0.080 s
% 5.45/1.26 % (2054601)Peak memory usage: 14 MB
% 5.45/1.26 % (2054601)Instructions burned: 182 (million)
% 5.45/1.26 % (2054606)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2234897629:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.45/1.26 % TRYING [1]
% 5.45/1.26 % TRYING [2]
% 5.45/1.26 % TRYING [3]
% 5.45/1.26 % (2054596)Instruction limit reached!
% 5.45/1.26 % (2054596)------------------------------
% 5.45/1.26 % (2054596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.26 % (2054596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.26 % (2054596)CaDiCaL version: 2.1.3
% 5.45/1.26 % (2054596)Termination reason: Instruction limit
% 5.45/1.26 % (2054596)Termination phase: Finite model building SAT solving
% 5.45/1.26 % (2054596)Time elapsed: 0.224 s
% 5.45/1.26 % (2054596)Peak memory usage: 15 MB
% 5.45/1.26 % (2054596)Instructions burned: 716 (million)
% 5.45/1.26 % (2054608)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4086973869:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 5.45/1.26 % (2054604)Instruction limit reached!
% 5.45/1.26 % (2054604)------------------------------
% 5.45/1.26 % (2054604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.26 % (2054604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.26 % (2054604)CaDiCaL version: 2.1.3
% 5.45/1.26 % (2054604)Termination reason: Instruction limit
% 5.45/1.26 % (2054604)Termination phase: Saturation
% 5.45/1.26 % (2054604)Time elapsed: 0.281 s
% 5.45/1.26 % (2054604)Peak memory usage: 26 MB
% 5.45/1.26 % (2054604)Instructions burned: 479 (million)
% 5.45/1.26 % (2054610)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=325620131:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 5.45/1.26 % (2054599)Instruction limit reached!
% 5.45/1.26 % (2054599)------------------------------
% 5.45/1.26 % (2054599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.26 % (2054599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.26 % (2054599)CaDiCaL version: 2.1.3
% 5.45/1.26 % (2054599)Termination reason: Instruction limit
% 5.45/1.26 % (2054599)Termination phase: Saturation
% 5.45/1.26 % (2054599)Time elapsed: 0.394 s
% 5.45/1.26 % (2054599)Peak memory usage: 27 MB
% 5.45/1.26 % (2054599)Instructions burned: 686 (million)
% 5.45/1.26 % (2054612)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=936673848: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)
% 5.45/1.26 % (2054608)Instruction limit reached!
% 5.45/1.26 % (2054608)------------------------------
% 5.45/1.26 % (2054608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.26 % (2054608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.26 % (2054608)CaDiCaL version: 2.1.3
% 5.45/1.26 % (2054608)Termination reason: Instruction limit
% 5.45/1.26 % (2054608)Termination phase: Saturation
% 5.45/1.26 % (2054608)Time elapsed: 0.311 s
% 5.45/1.26 % (2054608)Peak memory usage: 50 MB
% 5.45/1.26 % (2054608)Instructions burned: 1180 (million)
% 5.45/1.26 % (2054614)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=940468216:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 5.45/1.26 % (2054606)Instruction limit reached!
% 5.45/1.26 % (2054606)------------------------------
% 5.45/1.26 % (2054606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.26 % (2054606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.26 % (2054606)CaDiCaL version: 2.1.3
% 5.45/1.26 % (2054606)Termination reason: Instruction limit
% 5.45/1.26 % (2054606)Termination phase: Finite model building SAT solving
% 5.45/1.26 % (2054606)Time elapsed: 0.555 s
% 5.45/1.26 % (2054606)Peak memory usage: 14 MB
% 5.45/1.26 % (2054606)Instructions burned: 865 (million)
% 5.45/1.26 % (2054616)fmb+10_1_sil=64000:random_seed=1608192785:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 5.45/1.26 % TRYING [1]
% 5.45/1.26 % TRYING [2]
% 5.45/1.26 % (2054584) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2054577-2054584"...
% 5.45/1.26 % TRYING [3]
% 5.45/1.26 % (2054584)...printing done.
% 5.45/1.26 % (2054584)Refutation found. Thanks to Tanya!
% 5.45/1.26 % SZS status Unsatisfiable for theBenchmark
% 5.45/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 5.45/1.26 % (2054584)------------------------------
% 5.45/1.26 % (2054584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.26 % (2054584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.26 % (2054584)CaDiCaL version: 2.1.3
% 5.45/1.26 % (2054584)Termination reason: Refutation
% 5.45/1.26 % (2054584)Time elapsed: 0.802 s
% 5.45/1.26 % (2054584)Peak memory usage: 25 MB
% 5.45/1.26 % (2054584)Instructions burned: 1544 (million)
% 5.45/1.26 % (2054577)Success in time 0.847 s
% 5.45/1.26 % Vampire exiting
%------------------------------------------------------------------------------