%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT082-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 10.55s 2.39s
% Output : Refutation 11.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 2
% Syntax : Number of formulae : 93 ( 93 unt; 0 def)
% Number of atoms : 93 ( 92 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 18 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 266 ( 266 !; 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/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_3) ).
fof(f5,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(f13,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,[],[f5,f1]) ).
fof(f36,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,[],[f13,f1]) ).
fof(f60,plain,
! [X2,X0] : join(meet(X0,X2),meet(X0,join(X0,X2))) = X0,
inference(superposition,[],[f36,f36]) ).
fof(f64,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,[],[f5,f36]) ).
fof(f130,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = join(meet(X0,X6),meet(join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(X7,join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0))))),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),X8)),join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))))),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),join(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(X7,join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0))))),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),X8)),join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))))))),join(X0,X6))),
inference(superposition,[],[f64,f1]) ).
fof(f160,plain,
! [X2,X3,X0,X1,X6,X4,X5] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = join(meet(X0,X6),meet(X0,join(X0,X6))),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f169,plain,
! [X2,X3,X0,X1,X4,X5] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = X0,
inference(forward_demodulation,[],[f160,f60]) ).
fof(f199,plain,
! [X2,X3,X0,X1] : join(meet(X1,join(X0,X0)),meet(join(meet(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X2,X0)),X0)),meet(X3,join(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X2,X0)),X0)))),join(X1,join(X0,X0)))) = X0,
inference(superposition,[],[f169,f60]) ).
fof(f203,plain,
! [X2,X0,X1] : join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),X2),meet(X0,join(join(meet(X1,X0),meet(X0,join(X1,X0))),X2))) = X0,
inference(superposition,[],[f1,f169]) ).
fof(f205,plain,
! [X2,X3,X0,X4,X5] : 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)))) = X0,
inference(superposition,[],[f36,f169]) ).
fof(f219,plain,
! [X0,X1] : join(meet(X1,join(X0,X0)),meet(X0,join(X1,join(X0,X0)))) = X0,
inference(forward_demodulation,[],[f199,f205]) ).
fof(f309,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(superposition,[],[f64,f205]) ).
fof(f376,plain,
! [X2,X3,X0,X1] : meet(meet(join(X0,join(X1,X2)),join(X3,X1)),X1) = X1,
inference(superposition,[],[f205,f309]) ).
fof(f485,plain,
! [X0,X4] : join(meet(X0,X0),meet(X4,join(X0,X0))) = X0,
inference(superposition,[],[f205,f376]) ).
fof(f622,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f219,f485]) ).
fof(f625,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
inference(superposition,[],[f169,f485]) ).
fof(f718,plain,
! [X0] : join(meet(X0,X0),meet(X0,X0)) = X0,
inference(superposition,[],[f309,f622]) ).
fof(f719,plain,
! [X2,X0,X1] : meet(meet(join(X1,X0),join(X2,X0)),X0) = X0,
inference(superposition,[],[f376,f622]) ).
fof(f720,plain,
! [X2,X0,X1] : meet(meet(join(X1,join(X0,X2)),X0),X0) = X0,
inference(superposition,[],[f376,f622]) ).
fof(f722,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(superposition,[],[f376,f622]) ).
fof(f767,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f718,f622]) ).
fof(f845,plain,
! [X0,X1] : join(X0,meet(X1,join(X0,X0))) = X0,
inference(superposition,[],[f485,f767]) ).
fof(f918,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[],[f845,f622]) ).
fof(f997,plain,
! [X0,X1] : join(join(X0,meet(X0,X1)),X0) = X0,
inference(superposition,[],[f625,f767]) ).
fof(f999,plain,
! [X0,X1] : join(join(meet(X1,X0),X0),X0) = X0,
inference(superposition,[],[f625,f767]) ).
fof(f1030,plain,
! [X2,X0,X1] : join(meet(X1,X0),meet(X0,X2)) = join(meet(join(meet(X1,X0),meet(X0,X2)),X0),meet(join(meet(X1,X0),meet(X0,X2)),X0)),
inference(superposition,[],[f60,f625]) ).
fof(f1069,plain,
! [X2,X0,X1] : join(meet(X1,X0),meet(X0,X2)) = meet(join(meet(X1,X0),meet(X0,X2)),X0),
inference(forward_demodulation,[],[f1030,f622]) ).
fof(f1200,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,[],[f60,f997]) ).
fof(f1239,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = meet(join(X0,meet(X0,X1)),X0),
inference(forward_demodulation,[],[f1200,f622]) ).
fof(f1449,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(superposition,[],[f625,f918]) ).
fof(f1566,plain,
! [X0,X1] : meet(X1,X0) = join(meet(meet(X1,X0),X0),meet(meet(X1,X0),X0)),
inference(superposition,[],[f60,f1449]) ).
fof(f1604,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(forward_demodulation,[],[f1566,f622]) ).
fof(f2266,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X0,join(X2,meet(X1,X0))),meet(X1,X0)),
inference(superposition,[],[f722,f1449]) ).
fof(f2291,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(superposition,[],[f722,f999]) ).
fof(f2367,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f2291,f1604]) ).
fof(f2474,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f2367,f60]) ).
fof(f2480,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(superposition,[],[f2367,f1449]) ).
fof(f3174,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(meet(join(X1,meet(X2,X0)),X0),meet(X2,X0)),
inference(superposition,[],[f719,f918]) ).
fof(f3356,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(meet(join(X1,X0),meet(X0,X2)),meet(X0,X2)),
inference(superposition,[],[f720,f60]) ).
fof(f3362,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(meet(join(X1,X0),meet(X2,X0)),meet(X2,X0)),
inference(superposition,[],[f720,f1449]) ).
fof(f3462,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(join(X1,X0),meet(X2,X0)),
inference(forward_demodulation,[],[f3362,f1604]) ).
fof(f3468,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(join(X1,X0),meet(X0,X2)),
inference(forward_demodulation,[],[f3356,f1604]) ).
fof(f3949,plain,
! [X2,X0,X1] : meet(X1,meet(X2,X0)) = meet(X0,meet(X1,meet(X2,X0))),
inference(superposition,[],[f3462,f918]) ).
fof(f4283,plain,
! [X0,X1] : join(join(X0,X1),X0) = meet(join(join(X0,X1),X0),join(X0,X1)),
inference(superposition,[],[f1239,f2367]) ).
fof(f4292,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f2367,f1239]) ).
fof(f4380,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(forward_demodulation,[],[f4283,f2367]) ).
fof(f4521,plain,
! [X0,X1] : join(meet(X0,meet(X0,X1)),meet(X0,X0)) = X0,
inference(superposition,[],[f60,f4292]) ).
fof(f4567,plain,
! [X0,X1] : join(meet(X0,meet(X0,X1)),X0) = X0,
inference(forward_demodulation,[],[f4521,f767]) ).
fof(f4590,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f4567,f2474]) ).
fof(f5776,plain,
! [X2,X0,X1] : meet(meet(join(X2,X0),join(X0,X1)),X0) = X0,
inference(superposition,[],[f719,f4380]) ).
fof(f7160,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(X0,meet(meet(X1,X0),X2)),
inference(superposition,[],[f3468,f918]) ).
fof(f7161,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(meet(X0,X1),X2)),
inference(superposition,[],[f3468,f4292]) ).
fof(f7410,plain,
! [X2,X0,X1] : join(X1,meet(meet(X0,X1),X2)) = X1,
inference(superposition,[],[f4292,f7160]) ).
fof(f9148,plain,
! [X2,X0,X1] : join(X0,meet(meet(X0,X1),X2)) = X0,
inference(superposition,[],[f4292,f7161]) ).
fof(f11501,plain,
! [X2,X0,X1] : join(X2,meet(X0,meet(X1,X2))) = X2,
inference(superposition,[],[f7410,f2480]) ).
fof(f12237,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f2266,f4292]) ).
fof(f12529,plain,
! [X2,X0,X1] : join(meet(X2,meet(X1,X0)),meet(X0,X1)) = meet(join(meet(X2,meet(X1,X0)),meet(X0,X1)),meet(X1,X0)),
inference(superposition,[],[f1069,f12237]) ).
fof(f12543,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(join(X2,meet(X1,X0)),meet(X0,X1)),
inference(superposition,[],[f3468,f12237]) ).
fof(f12571,plain,
! [X2,X0,X1] : meet(X1,X0) = join(meet(X2,meet(X1,X0)),meet(X0,X1)),
inference(forward_demodulation,[],[f12529,f12543]) ).
fof(f12738,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f4590,f12571]) ).
fof(f13192,plain,
meet(a,meet(b,c)) != meet(c,meet(a,b)),
inference(superposition,[],[f2,f12738]) ).
fof(f14183,plain,
! [X2,X0,X1] : join(X1,meet(X0,meet(X1,X2))) = X1,
inference(superposition,[],[f9148,f2480]) ).
fof(f14739,plain,
! [X2,X3,X0,X1] : meet(join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X0),meet(X0,join(join(meet(X2,X0),meet(X0,join(X2,X0))),X0))),X3) = meet(meet(join(X1,meet(join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X0),meet(X0,join(join(meet(X2,X0),meet(X0,join(X2,X0))),X0))),X3)),X0),meet(join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X0),meet(X0,join(join(meet(X2,X0),meet(X0,join(X2,X0))),X0))),X3)),
inference(superposition,[],[f5776,f36]) ).
fof(f14942,plain,
! [X2,X3,X0,X1] : meet(join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X0),meet(X0,join(join(meet(X2,X0),meet(X0,join(X2,X0))),X0))),X3) = meet(meet(join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X0),meet(X0,join(join(meet(X2,X0),meet(X0,join(X2,X0))),X0))),X3),meet(join(X1,meet(join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X0),meet(X0,join(join(meet(X2,X0),meet(X0,join(X2,X0))),X0))),X3)),X0)),
inference(forward_demodulation,[],[f14739,f12738]) ).
fof(f15032,plain,
! [X2,X3,X0,X1] : meet(join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X0),meet(X0,join(join(meet(X2,X0),meet(X0,join(X2,X0))),X0))),X3) = meet(meet(join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X0),meet(X0,join(join(meet(X2,X0),meet(X0,join(X2,X0))),X0))),X3),meet(X0,join(X1,meet(join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X0),meet(X0,join(join(meet(X2,X0),meet(X0,join(X2,X0))),X0))),X3)))),
inference(forward_demodulation,[],[f14942,f12738]) ).
fof(f15075,plain,
! [X3,X0,X1] : meet(X0,X3) = meet(meet(X0,X3),meet(X0,join(X1,meet(X0,X3)))),
inference(forward_demodulation,[],[f15032,f203]) ).
fof(f19182,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(meet(X1,meet(X0,X2)),meet(X1,X0)),
inference(superposition,[],[f15075,f14183]) ).
fof(f19183,plain,
! [X2,X0,X1] : meet(X1,meet(X2,X0)) = meet(meet(X1,meet(X2,X0)),meet(X1,X0)),
inference(superposition,[],[f15075,f11501]) ).
fof(f19339,plain,
! [X2,X0,X1] : meet(X1,meet(X2,X0)) = meet(meet(X1,X0),meet(X1,meet(X2,X0))),
inference(forward_demodulation,[],[f19183,f12738]) ).
fof(f19340,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(meet(X1,X0),meet(X1,meet(X0,X2))),
inference(forward_demodulation,[],[f19182,f12738]) ).
fof(f22412,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(meet(X0,X1),X0),meet(X1,X0)),
inference(superposition,[],[f3174,f12571]) ).
fof(f22425,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(meet(X0,X2),meet(meet(X1,X0),X2)),
inference(superposition,[],[f3174,f7410]) ).
fof(f22426,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(meet(X0,X2),meet(meet(X0,X1),X2)),
inference(superposition,[],[f3174,f9148]) ).
fof(f22699,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),meet(meet(X0,X1),X0)),
inference(forward_demodulation,[],[f22412,f12738]) ).
fof(f22746,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X0,X1),X0),
inference(forward_demodulation,[],[f22699,f22425]) ).
fof(f22770,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f22746,f12738]) ).
fof(f23936,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(meet(X0,X1),meet(X1,X2)),meet(X0,meet(X1,X2))),
inference(superposition,[],[f19339,f19340]) ).
fof(f23937,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(meet(X0,X2),meet(X1,X2)),meet(X0,meet(X1,X2))),
inference(superposition,[],[f19339,f19339]) ).
fof(f24147,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X0,meet(X1,X2)),meet(meet(X0,X2),meet(X1,X2))),
inference(forward_demodulation,[],[f23937,f12738]) ).
fof(f24148,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X0,meet(X1,X2)),meet(meet(X0,X1),meet(X1,X2))),
inference(forward_demodulation,[],[f23936,f12738]) ).
fof(f24203,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X0,X2),meet(X1,X2)),
inference(forward_demodulation,[],[f24147,f22426]) ).
fof(f24204,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X0,X1),meet(X1,X2)),
inference(forward_demodulation,[],[f24148,f22426]) ).
fof(f24299,plain,
! [X2,X3,X0,X1] : meet(X3,meet(X0,meet(X1,X2))) = meet(meet(X3,X2),meet(X0,meet(X1,X2))),
inference(superposition,[],[f24204,f3949]) ).
fof(f24838,plain,
! [X2,X0,X1] : meet(meet(X0,X2),meet(X0,meet(X1,X2))) = meet(meet(X1,X2),meet(X0,X2)),
inference(superposition,[],[f22770,f24203]) ).
fof(f24842,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(meet(X0,X2),meet(X0,meet(X1,X2))),
inference(forward_demodulation,[],[f24838,f24203]) ).
fof(f24932,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(X0,meet(X0,meet(X1,X2))),
inference(forward_demodulation,[],[f24842,f24299]) ).
fof(f24972,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(X0,meet(X1,X2)),
inference(forward_demodulation,[],[f24932,f2474]) ).
fof(f25527,plain,
meet(a,meet(b,c)) != meet(a,meet(c,b)),
inference(superposition,[],[f13192,f24972]) ).
fof(f25528,plain,
meet(a,meet(b,c)) != meet(a,meet(b,c)),
inference(forward_demodulation,[],[f25527,f12738]) ).
fof(f25529,plain,
$false,
inference(trivial_inequality_removal,[],[f25528]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT082-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:00:01 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.55/2.39 % (988403)Detected a unit-equality problem, will run specialized UEQ schedule.
% 10.55/2.39 % (988408)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=1825626704:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 10.55/2.39 % (988414)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2889811928:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 10.55/2.39 % (988409)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=900581677:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 10.55/2.39 % (988411)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3192782341:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 10.55/2.39 % (988413)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=194275385:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 10.55/2.39 % (988410)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2157361374:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 10.55/2.39 % (988412)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2288680277:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 10.55/2.39 % (988411)Instruction limit reached!
% 10.55/2.39 % (988411)------------------------------
% 10.55/2.39 % (988411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.39 % (988411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.39 % (988411)CaDiCaL version: 2.1.3
% 10.55/2.39 % (988411)Termination reason: Instruction limit
% 10.55/2.39 % (988411)Termination phase: Saturation
% 10.55/2.39 % (988411)Time elapsed: 0.063 s
% 10.55/2.39 % (988411)Peak memory usage: 90 MB
% 10.55/2.39 % (988411)Instructions burned: 138 (million)
% 10.55/2.39 % (988412)Instruction limit reached!
% 10.55/2.39 % (988412)------------------------------
% 10.55/2.39 % (988412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.39 % (988412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.39 % (988412)CaDiCaL version: 2.1.3
% 10.55/2.39 % (988412)Termination reason: Instruction limit
% 10.55/2.39 % (988412)Termination phase: Saturation
% 10.55/2.39 % (988412)Time elapsed: 0.106 s
% 10.55/2.39 % (988412)Peak memory usage: 89 MB
% 10.55/2.39 % (988412)Instructions burned: 182 (million)
% 10.55/2.39 % (988413)Instruction limit reached!
% 10.55/2.39 % (988413)------------------------------
% 10.55/2.39 % (988413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.39 % (988413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.39 % (988413)CaDiCaL version: 2.1.3
% 10.55/2.39 % (988413)Termination reason: Instruction limit
% 10.55/2.39 % (988413)Termination phase: Saturation
% 10.55/2.39 % (988413)Time elapsed: 0.112 s
% 10.55/2.39 % (988413)Peak memory usage: 92 MB
% 10.55/2.39 % (988413)Instructions burned: 257 (million)
% 10.55/2.39 % (988422)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=411689188:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 10.55/2.39 % (988423)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=621714154:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 10.55/2.39 % (988424)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1037782749:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 10.55/2.39 % (988424)Instruction limit reached!
% 10.55/2.39 % (988424)------------------------------
% 10.55/2.39 % (988424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.39 % (988424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.39 % (988424)CaDiCaL version: 2.1.3
% 10.55/2.39 % (988424)Termination reason: Instruction limit
% 10.55/2.39 % (988424)Termination phase: Saturation
% 10.55/2.39 % (988424)Time elapsed: 0.103 s
% 10.55/2.39 % (988424)Peak memory usage: 117 MB
% 10.55/2.39 % (988424)Instructions burned: 215 (million)
% 10.55/2.39 % (988414)Instruction limit reached!
% 10.55/2.39 % (988414)------------------------------
% 10.55/2.39 % (988414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.39 % (988414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.39 % (988414)CaDiCaL version: 2.1.3
% 10.55/2.39 % (988414)Termination reason: Instruction limit
% 10.55/2.39 % (988414)Termination phase: Saturation
% 10.55/2.39 % (988414)Time elapsed: 0.495 s
% 10.55/2.39 % (988414)Peak memory usage: 105 MB
% 10.55/2.39 % (988414)Instructions burned: 1189 (million)
% 10.55/2.39 % (988428)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=2286520657:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 10.55/2.39 % (988429)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=1033203960:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/12125Mi)
% 10.55/2.39 % (988428)Instruction limit reached!
% 10.55/2.39 % (988428)------------------------------
% 10.55/2.39 % (988428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/2.39 % (988428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.39 % (988428)CaDiCaL version: 2.1.3
% 10.55/2.39 % (988428)Termination reason: Instruction limit
% 10.55/2.39 % (988428)Termination phase: Saturation
% 10.55/2.39 % (988428)Time elapsed: 0.183 s
% 10.55/2.39 % (988428)Peak memory usage: 91 MB
% 10.55/2.39 % (988428)Instructions burned: 319 (million)
% 10.55/2.39 % (988432)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2030068203:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 10.55/2.39 % (988423)First to succeed.
% 10.55/2.39 % (988423)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-988403"
% 10.55/2.39 % (988423)Refutation found. Thanks to Tanya!
% 10.55/2.39 % SZS status Unsatisfiable for theBenchmark
% 10.55/2.39 % SZS output start Proof for theBenchmark
% See solution above
% 11.36/2.59 % (988423)------------------------------
% 11.36/2.59 % (988423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.36/2.59 % (988423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.36/2.59 % (988423)CaDiCaL version: 2.1.3
% 11.36/2.59 % (988423)Termination reason: Refutation
% 11.36/2.59 % (988423)Time elapsed: 0.918 s
% 11.36/2.59 % (988423)Peak memory usage: 147 MB
% 11.36/2.59 % (988423)Instructions burned: 2853 (million)
% 11.36/2.59 % (988423)------------------------------
% 11.36/2.59 % (988423)------------------------------
% 11.36/2.59 % (988403)Success in time 1.527 s
% 11.36/2.59 % Vampire exiting
%------------------------------------------------------------------------------