TSTP Solution File: LAT082-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT082-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:25:48 EDT 2024
% Result : Unsatisfiable 93.76s 13.82s
% Output : Refutation 93.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 2
% Syntax : Number of formulae : 200 ( 200 unt; 0 def)
% Number of atoms : 200 ( 199 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 23 ( 3 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 : 613 ( 613 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f223565,plain,
$false,
inference(trivial_inequality_removal,[],[f223228]) ).
fof(f223228,plain,
meet(a,meet(b,c)) != meet(a,meet(b,c)),
inference(superposition,[],[f2,f211913]) ).
fof(f211913,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(X1,meet(X0,X2)),
inference(forward_demodulation,[],[f208169,f14810]) ).
fof(f14810,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(meet(X1,X0),meet(X1,meet(X0,X2))),
inference(superposition,[],[f2715,f6025]) ).
fof(f6025,plain,
! [X2,X0,X1] : join(X0,meet(X2,meet(X0,X1))) = X0,
inference(superposition,[],[f5766,f2540]) ).
fof(f2540,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(superposition,[],[f2489,f1457]) ).
fof(f1457,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(backward_demodulation,[],[f1087,f1456]) ).
fof(f1456,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f1449,f1088]) ).
fof(f1088,plain,
! [X0] : join(meet(X0,X0),X0) = X0,
inference(backward_demodulation,[],[f1005,f1006]) ).
fof(f1006,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f979,f530]) ).
fof(f530,plain,
! [X0,X1] : join(meet(X1,join(X0,X0)),meet(X0,join(X1,join(X0,X0)))) = X0,
inference(superposition,[],[f330,f218]) ).
fof(f218,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(forward_demodulation,[],[f214,f172]) ).
fof(f172,plain,
! [X1,X6,X7] : join(meet(join(meet(X6,X1),meet(X1,join(X6,X1))),X7),meet(X1,join(join(meet(X6,X1),meet(X1,join(X6,X1))),X7))) = X1,
inference(backward_demodulation,[],[f13,f166]) ).
fof(f166,plain,
! [X3,X0,X1,X8,X6,X9,X7,X4,X5] : join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(join(meet(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)),meet(join(meet(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)),meet(X9,join(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)))),join(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)))),join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)))) = X1,
inference(forward_demodulation,[],[f165,f60]) ).
fof(f60,plain,
! [X2,X1] : join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
inference(superposition,[],[f36,f36]) ).
fof(f36,plain,
! [X0,X1,X8] : join(meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X1),meet(X1,join(join(meet(X0,X1),meet(X1,join(X0,X1))),X1))),X8),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X1),meet(X1,join(join(meet(X0,X1),meet(X1,join(X0,X1))),X1))),X8))) = X1,
inference(superposition,[],[f13,f1]) ).
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(f165,plain,
! [X3,X0,X11,X1,X8,X6,X9,X7,X4,X5] : join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(join(meet(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)),meet(join(meet(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)),meet(X9,join(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)))),join(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)))),join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)))) = join(meet(X1,X11),meet(X1,join(X1,X11))),
inference(forward_demodulation,[],[f133,f13]) ).
fof(f133,plain,
! [X3,X0,X11,X1,X8,X6,X9,X7,X4,X5] : join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(join(meet(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)),meet(join(meet(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)),meet(X9,join(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)))),join(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)))),join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)))) = join(meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(join(meet(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)),meet(join(meet(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)),meet(X9,join(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)))),join(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)))),join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1))))),meet(join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(join(meet(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)),meet(join(meet(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)),meet(X9,join(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)))),join(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)))),join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(join(meet(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)),meet(join(meet(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)),meet(X9,join(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)))),join(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)))),join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1))))))),X11),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(join(meet(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)),meet(join(meet(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)),meet(X9,join(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)))),join(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)))),join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1))))),meet(join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(join(meet(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)),meet(join(meet(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)),meet(X9,join(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)))),join(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)))),join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(join(meet(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)),meet(join(meet(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)),meet(X9,join(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)))),join(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)))),join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1))))))),X11))),
inference(superposition,[],[f64,f13]) ).
fof(f64,plain,
! [X2,X3,X1,X4,X5] : join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X3),meet(join(meet(X2,join(join(meet(X4,X1),meet(X1,X5)),X1)),meet(X1,join(X2,join(join(meet(X4,X1),meet(X1,X5)),X1)))),join(join(meet(X2,X1),meet(X1,join(X2,X1))),X3))) = X1,
inference(superposition,[],[f5,f36]) ).
fof(f5,plain,
! [X2,X3,X10,X0,X1,X9] : join(meet(X0,X1),meet(X1,join(X0,X1))) = join(meet(join(meet(X9,join(meet(X0,X1),meet(X1,join(X0,X1)))),meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(X9,join(meet(X0,X1),meet(X1,join(X0,X1)))))),X10),meet(join(meet(X9,join(join(meet(X2,join(meet(X0,X1),meet(X1,join(X0,X1)))),meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X3)),join(meet(X0,X1),meet(X1,join(X0,X1))))),meet(X1,join(X9,join(join(meet(X2,join(meet(X0,X1),meet(X1,join(X0,X1)))),meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X3)),join(meet(X0,X1),meet(X1,join(X0,X1))))))),join(join(meet(X9,join(meet(X0,X1),meet(X1,join(X0,X1)))),meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(X9,join(meet(X0,X1),meet(X1,join(X0,X1)))))),X10))),
inference(superposition,[],[f1,f1]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : join(meet(join(meet(X6,X1),meet(X1,join(X6,X1))),X7),meet(join(meet(X6,join(join(meet(X8,X1),meet(X1,X9)),X1)),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(X6,join(join(meet(X8,X1),meet(X1,X9)),X1)))),join(join(meet(X6,X1),meet(X1,join(X6,X1))),X7))) = X1,
inference(superposition,[],[f5,f1]) ).
fof(f214,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(X1,join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))),
inference(backward_demodulation,[],[f95,f172]) ).
fof(f95,plain,
! [X2,X3,X0,X1,X4] : join(meet(X0,X1),meet(X1,join(X0,X1))) = join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(join(meet(X3,join(meet(X0,X1),meet(X1,join(X0,X1)))),meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X4)),join(meet(X0,X1),meet(X1,join(X0,X1))))),meet(X1,join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(join(meet(X3,join(meet(X0,X1),meet(X1,join(X0,X1)))),meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X4)),join(meet(X0,X1),meet(X1,join(X0,X1))))))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))),
inference(superposition,[],[f5,f60]) ).
fof(f330,plain,
! [X2,X6,X5] : join(meet(X2,X6),meet(join(meet(X5,join(X2,X2)),meet(X2,join(X5,join(X2,X2)))),join(X2,X6))) = X2,
inference(forward_demodulation,[],[f329,f270]) ).
fof(f270,plain,
! [X2,X3,X0,X1,X4,X5] : join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))) = X1,
inference(backward_demodulation,[],[f168,f219]) ).
fof(f219,plain,
! [X2,X3,X0,X1,X8,X4,X5] : join(meet(X2,X8),meet(join(meet(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)),meet(join(meet(X2,meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2)))),join(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)))),join(X2,X8))) = X2,
inference(backward_demodulation,[],[f94,f218]) ).
fof(f94,plain,
! [X2,X3,X0,X1,X8,X4,X5] : join(meet(join(meet(join(meet(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)),meet(join(meet(X2,meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2)))),join(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)))),X2),meet(X2,join(join(meet(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)),meet(join(meet(X2,meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2)))),join(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)))),X2))),X8),meet(join(meet(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)),meet(join(meet(X2,meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2)))),join(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)))),join(join(meet(join(meet(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)),meet(join(meet(X2,meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2)))),join(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)))),X2),meet(X2,join(join(meet(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)),meet(join(meet(X2,meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2)))),join(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)))),X2))),X8))) = X2,
inference(superposition,[],[f13,f60]) ).
fof(f168,plain,
! [X2,X3,X0,X1,X6,X4,X5] : join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))) = join(meet(X1,X6),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(X1,X6))),
inference(backward_demodulation,[],[f40,f166]) ).
fof(f40,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))) = join(meet(X1,X6),meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(join(meet(X7,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),X8)),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),meet(join(meet(X9,join(join(meet(X10,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),X11)),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),meet(join(meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),meet(meet(join(X10,join(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),X11)),join(X12,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),meet(X13,join(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),meet(meet(join(X10,join(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),X11)),join(X12,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))))),join(X9,join(join(meet(X10,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),X11)),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(join(meet(X7,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),X8)),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))))),join(X1,X6))),
inference(superposition,[],[f13,f1]) ).
fof(f329,plain,
! [X2,X10,X11,X8,X6,X9,X7,X5] : join(meet(X2,X6),meet(join(meet(X5,join(X2,X2)),meet(join(meet(X7,join(join(meet(X8,X2),meet(X2,X9)),X2)),meet(join(meet(X2,meet(meet(join(X8,join(X2,X9)),join(X10,X2)),X2)),meet(X11,join(X2,meet(meet(join(X8,join(X2,X9)),join(X10,X2)),X2)))),join(X7,join(join(meet(X8,X2),meet(X2,X9)),X2)))),join(X5,join(X2,X2)))),join(X2,X6))) = X2,
inference(forward_demodulation,[],[f328,f271]) ).
fof(f271,plain,
! [X3,X0,X1,X4] : join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(X1,join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)))) = X1,
inference(backward_demodulation,[],[f166,f270]) ).
fof(f328,plain,
! [X2,X3,X10,X0,X11,X8,X6,X9,X7,X4,X5] : join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))) = join(meet(join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))),X6),meet(join(meet(X5,join(X2,join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))))),meet(join(meet(X7,join(join(meet(X8,join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2))))),meet(join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))),X9)),join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))))),meet(join(meet(join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))),meet(meet(join(X8,join(join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))),X9)),join(X10,join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))))),join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))))),meet(X11,join(join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))),meet(meet(join(X8,join(join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))),X9)),join(X10,join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))))),join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))))))),join(X7,join(join(meet(X8,join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2))))),meet(join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))),X9)),join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))))))),join(X5,join(X2,join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))))))),join(join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))),X6))),
inference(forward_demodulation,[],[f242,f218]) ).
fof(f242,plain,
! [X2,X3,X10,X0,X11,X8,X6,X9,X7,X4,X5] : join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))) = join(meet(join(meet(X5,join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2))))),meet(join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))),join(X5,join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2))))))),X6),meet(join(meet(X5,join(X2,join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))))),meet(join(meet(X7,join(join(meet(X8,join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2))))),meet(join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))),X9)),join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))))),meet(join(meet(join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))),meet(meet(join(X8,join(join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))),X9)),join(X10,join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))))),join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))))),meet(X11,join(join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))),meet(meet(join(X8,join(join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))),X9)),join(X10,join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))))),join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))))))),join(X7,join(join(meet(X8,join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2))))),meet(join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))),X9)),join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))))))),join(X5,join(X2,join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))))))),join(join(meet(X5,join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2))))),meet(join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)))),join(X5,join(meet(X0,join(join(meet(X3,X2),meet(X2,X4)),X2)),meet(X2,join(X0,join(join(meet(X3,X2),meet(X2,X4)),X2))))))),X6))),
inference(backward_demodulation,[],[f35,f218]) ).
fof(f35,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))) = join(meet(join(meet(X5,join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2)))))))),meet(join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))),join(X5,join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2)))))))))),X6),meet(join(meet(X5,join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))))),meet(join(meet(X7,join(join(meet(X8,join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2)))))))),meet(join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))),X9)),join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))))),meet(join(meet(join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))),meet(meet(join(X8,join(join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))),X9)),join(X10,join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))))),join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))))),meet(X11,join(join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))),meet(meet(join(X8,join(join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))),X9)),join(X10,join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))))),join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))))))),join(X7,join(join(meet(X8,join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2)))))))),meet(join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))),X9)),join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))))))),join(X5,join(join(meet(X1,X2),meet(X2,join(X1,X2))),join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))))))),join(join(meet(X5,join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2)))))))),meet(join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))))),join(X5,join(meet(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X3,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X4)),join(meet(X1,X2),meet(X2,join(X1,X2)))))))))),X6))),
inference(superposition,[],[f13,f5]) ).
fof(f979,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
inference(superposition,[],[f867,f60]) ).
fof(f867,plain,
! [X3,X0,X1] : join(meet(X1,join(X0,X0)),meet(join(meet(X0,X0),meet(X3,join(X0,X0))),join(X1,join(X0,X0)))) = X0,
inference(backward_demodulation,[],[f493,f847]) ).
fof(f847,plain,
! [X0,X1] : meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0) = X0,
inference(superposition,[],[f761,f218]) ).
fof(f761,plain,
! [X2,X0,X1] : join(meet(X0,X2),meet(meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0),join(X0,X2))) = X0,
inference(superposition,[],[f485,f60]) ).
fof(f485,plain,
! [X2,X3,X0,X1] : join(meet(X0,X2),meet(join(meet(X3,join(X0,X0)),meet(meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0),join(X3,join(X0,X0)))),join(X0,X2))) = X0,
inference(superposition,[],[f286,f218]) ).
fof(f286,plain,
! [X1,X8,X6,X9,X7] : join(meet(X1,X7),meet(join(meet(X6,join(X1,X1)),meet(join(meet(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X8,X1)),X1)),meet(X9,join(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X8,X1)),X1)))),join(X6,join(X1,X1)))),join(X1,X7))) = X1,
inference(forward_demodulation,[],[f285,f270]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))) = join(meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),X7),meet(join(meet(X6,join(X1,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),meet(join(meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),meet(meet(join(X1,join(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(X1,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),join(X8,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),meet(X9,join(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),meet(meet(join(X1,join(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(X1,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),join(X8,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))))),join(X6,join(X1,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))))),join(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),X7))),
inference(forward_demodulation,[],[f225,f218]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))) = join(meet(join(meet(X6,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(X6,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),X7),meet(join(meet(X6,join(X1,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),meet(join(meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),meet(meet(join(X1,join(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(X1,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),join(X8,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),meet(X9,join(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),meet(meet(join(X1,join(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(X1,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),join(X8,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))))),join(X6,join(X1,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))))),join(join(meet(X6,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(X6,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),X7))),
inference(backward_demodulation,[],[f6,f218]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))) = join(meet(join(meet(X6,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(X6,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),X7),meet(join(meet(X6,join(X1,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),meet(join(meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),meet(meet(join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),join(X8,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),meet(X9,join(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),meet(meet(join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),join(X8,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))))),join(X6,join(X1,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))))))),join(join(meet(X6,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(X6,join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),X7))),
inference(superposition,[],[f1,f1]) ).
fof(f493,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,[],[f286,f218]) ).
fof(f1005,plain,
! [X0] : join(meet(X0,X0),join(X0,X0)) = X0,
inference(superposition,[],[f979,f847]) ).
fof(f1449,plain,
! [X0] : meet(X0,X0) = join(meet(X0,X0),X0),
inference(backward_demodulation,[],[f1175,f1448]) ).
fof(f1448,plain,
! [X0,X1] : meet(X0,X0) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(backward_demodulation,[],[f1214,f1436]) ).
fof(f1436,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(X0,X0)),X0),
inference(backward_demodulation,[],[f1210,f1435]) ).
fof(f1435,plain,
! [X0] : meet(meet(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f1434,f1087]) ).
fof(f1434,plain,
! [X0] : meet(meet(X0,X0),X0) = join(meet(X0,X0),meet(meet(meet(X0,X0),X0),X0)),
inference(forward_demodulation,[],[f1428,f1340]) ).
fof(f1340,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(meet(X1,X0),X0),meet(X1,X0)),
inference(forward_demodulation,[],[f1339,f1006]) ).
fof(f1339,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(join(meet(X1,X0),meet(X1,X0)),X0),meet(X1,X0)),
inference(forward_demodulation,[],[f1338,f1006]) ).
fof(f1338,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(join(meet(X1,X0),join(meet(X1,X0),meet(X1,X0))),X0),meet(X1,X0)),
inference(forward_demodulation,[],[f1337,f1006]) ).
fof(f1337,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(join(meet(X1,X0),join(meet(X1,X0),join(meet(X1,X0),meet(X1,X0)))),X0),meet(X1,X0)),
inference(forward_demodulation,[],[f1020,f1006]) ).
fof(f1020,plain,
! [X0,X1] : meet(X1,join(X0,X0)) = meet(meet(join(meet(X1,join(X0,X0)),join(meet(X1,join(X0,X0)),join(meet(X1,join(X0,X0)),meet(X1,join(X0,X0))))),X0),meet(X1,join(X0,X0))),
inference(superposition,[],[f847,f979]) ).
fof(f1428,plain,
! [X0] : meet(meet(X0,X0),X0) = join(meet(meet(meet(X0,X0),X0),meet(X0,X0)),meet(meet(meet(X0,X0),X0),X0)),
inference(superposition,[],[f467,f1088]) ).
fof(f467,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),meet(X1,join(X0,X1))),meet(meet(X0,X1),X1)),
inference(superposition,[],[f60,f218]) ).
fof(f1210,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(X0,X0)),meet(meet(X0,X0),X0)),
inference(forward_demodulation,[],[f1209,f1006]) ).
fof(f1209,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,join(meet(join(X0,X0),join(X1,X0)),X0)),meet(X0,X0)),meet(meet(X0,X0),X0)),
inference(forward_demodulation,[],[f1208,f1006]) ).
fof(f1208,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,join(meet(join(X0,join(X0,X0)),join(X1,X0)),X0)),meet(X0,X0)),meet(meet(X0,X0),X0)),
inference(forward_demodulation,[],[f1079,f1163]) ).
fof(f1163,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(X1,meet(X1,join(X0,X1))),
inference(backward_demodulation,[],[f1131,f1152]) ).
fof(f1152,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f1151,f1006]) ).
fof(f1151,plain,
! [X0,X1] : meet(meet(join(X0,X0),join(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f1065,f1006]) ).
fof(f1065,plain,
! [X0,X1] : meet(meet(join(X0,join(X0,X0)),join(X1,X0)),X0) = X0,
inference(backward_demodulation,[],[f847,f1006]) ).
fof(f1131,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(meet(meet(X1,join(X0,X1)),X1),meet(X1,join(X0,X1))),
inference(forward_demodulation,[],[f1130,f1006]) ).
fof(f1130,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(meet(join(meet(X1,join(X0,X1)),meet(X1,join(X0,X1))),X1),meet(X1,join(X0,X1))),
inference(forward_demodulation,[],[f1129,f1006]) ).
fof(f1129,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(meet(join(meet(X1,join(X0,X1)),join(meet(X1,join(X0,X1)),meet(X1,join(X0,X1)))),X1),meet(X1,join(X0,X1))),
inference(forward_demodulation,[],[f1032,f1006]) ).
fof(f1032,plain,
! [X0,X1] : meet(X1,join(X0,join(X1,X1))) = meet(meet(join(meet(X1,join(X0,join(X1,X1))),join(meet(X1,join(X0,join(X1,X1))),meet(X1,join(X0,join(X1,X1))))),X1),meet(X1,join(X0,join(X1,X1)))),
inference(backward_demodulation,[],[f903,f1006]) ).
fof(f903,plain,
! [X0,X1] : meet(X1,join(X0,join(X1,X1))) = meet(meet(join(meet(X1,join(X0,join(X1,X1))),join(meet(X1,join(X0,join(X1,X1))),join(meet(X1,join(X0,join(X1,X1))),meet(X1,join(X0,join(X1,X1)))))),X1),meet(X1,join(X0,join(X1,X1)))),
inference(superposition,[],[f847,f530]) ).
fof(f1079,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,meet(X0,join(meet(join(X0,join(X0,X0)),join(X1,X0)),X0))),meet(X0,X0)),meet(meet(X0,X0),X0)),
inference(backward_demodulation,[],[f920,f1006]) ).
fof(f920,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,meet(X0,join(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0))),meet(X0,X0)),meet(meet(X0,X0),X0)),
inference(superposition,[],[f521,f847]) ).
fof(f521,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = join(meet(meet(meet(X0,X1),meet(X1,join(X0,X1))),meet(meet(X0,X1),X1)),meet(meet(meet(X0,X1),X1),meet(X0,X1))),
inference(superposition,[],[f218,f467]) ).
fof(f1214,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,[],[f1213,f1006]) ).
fof(f1213,plain,
! [X0,X1] : meet(X0,join(meet(join(X0,X0),join(X1,X0)),X0)) = join(meet(meet(X0,join(meet(join(X0,X0),join(X1,X0)),X0)),meet(X0,X0)),X0),
inference(forward_demodulation,[],[f1212,f1006]) ).
fof(f1212,plain,
! [X0,X1] : meet(X0,join(meet(join(X0,join(X0,X0)),join(X1,X0)),X0)) = join(meet(meet(X0,join(meet(join(X0,join(X0,X0)),join(X1,X0)),X0)),meet(X0,X0)),X0),
inference(forward_demodulation,[],[f1211,f1152]) ).
fof(f1211,plain,
! [X0,X1] : meet(X0,join(meet(join(X0,join(X0,X0)),join(X1,X0)),X0)) = join(meet(meet(X0,join(meet(join(X0,join(X0,X0)),join(X1,X0)),X0)),meet(X0,X0)),meet(meet(X0,join(meet(join(X0,join(X0,X0)),join(X1,X0)),X0)),X0)),
inference(forward_demodulation,[],[f1080,f1163]) ).
fof(f1080,plain,
! [X0,X1] : meet(X0,meet(X0,join(meet(join(X0,join(X0,X0)),join(X1,X0)),X0))) = join(meet(meet(X0,meet(X0,join(meet(join(X0,join(X0,X0)),join(X1,X0)),X0))),meet(X0,X0)),meet(meet(X0,meet(X0,join(meet(join(X0,join(X0,X0)),join(X1,X0)),X0))),X0)),
inference(backward_demodulation,[],[f963,f1006]) ).
fof(f963,plain,
! [X0,X1] : meet(X0,meet(X0,join(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0))) = join(meet(meet(X0,meet(X0,join(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0))),meet(X0,X0)),meet(meet(X0,meet(X0,join(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0))),X0)),
inference(superposition,[],[f86,f913]) ).
fof(f913,plain,
! [X0,X1] : join(X0,meet(X0,join(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0))) = X0,
inference(superposition,[],[f218,f847]) ).
fof(f86,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0)),
inference(superposition,[],[f60,f60]) ).
fof(f1175,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,[],[f1174,f1006]) ).
fof(f1174,plain,
! [X0,X1] : meet(X0,join(meet(join(X0,X0),join(X1,X0)),X0)) = join(meet(X0,join(meet(join(X0,X0),join(X1,X0)),X0)),X0),
inference(forward_demodulation,[],[f1173,f1006]) ).
fof(f1173,plain,
! [X0,X1] : meet(X0,join(meet(join(X0,join(X0,X0)),join(X1,X0)),X0)) = join(meet(X0,join(meet(join(X0,join(X0,X0)),join(X1,X0)),X0)),X0),
inference(forward_demodulation,[],[f1172,f1006]) ).
fof(f1172,plain,
! [X0,X1] : meet(X0,join(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)) = join(meet(X0,join(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)),X0),
inference(forward_demodulation,[],[f1171,f1163]) ).
fof(f1171,plain,
! [X0,X1] : meet(X0,join(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)) = join(meet(X0,meet(X0,join(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0))),X0),
inference(forward_demodulation,[],[f1067,f1152]) ).
fof(f1067,plain,
! [X0,X1] : meet(X0,join(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)) = join(meet(X0,meet(X0,join(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0))),meet(meet(X0,join(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)),X0)),
inference(backward_demodulation,[],[f906,f1006]) ).
fof(f906,plain,
! [X0,X1] : meet(X0,join(meet(join(join(X0,X0),join(join(X0,X0),join(join(X0,X0),join(X0,X0)))),join(X1,join(X0,X0))),join(X0,X0))) = join(meet(join(X0,X0),meet(X0,join(meet(join(join(X0,X0),join(join(X0,X0),join(join(X0,X0),join(X0,X0)))),join(X1,join(X0,X0))),join(X0,X0)))),meet(meet(X0,join(meet(join(join(X0,X0),join(join(X0,X0),join(join(X0,X0),join(X0,X0)))),join(X1,join(X0,X0))),join(X0,X0))),X0)),
inference(superposition,[],[f554,f847]) ).
fof(f554,plain,
! [X0,X1] : meet(X1,join(X0,join(X1,X1))) = join(meet(meet(X0,join(X1,X1)),meet(X1,join(X0,join(X1,X1)))),meet(meet(X1,join(X0,join(X1,X1))),X1)),
inference(superposition,[],[f218,f530]) ).
fof(f1087,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,X0)) = X0,
inference(backward_demodulation,[],[f979,f1006]) ).
fof(f2489,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(superposition,[],[f2381,f1456]) ).
fof(f2381,plain,
! [X2,X0,X1] : meet(meet(join(X1,X0),join(X2,X0)),X0) = X0,
inference(superposition,[],[f2297,f1006]) ).
fof(f2297,plain,
! [X2,X3,X0,X1] : meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0) = X0,
inference(superposition,[],[f1807,f1625]) ).
fof(f1625,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(superposition,[],[f1240,f1457]) ).
fof(f1240,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
inference(forward_demodulation,[],[f1089,f271]) ).
fof(f1089,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),X1) = join(meet(X3,join(join(meet(X0,X1),meet(X1,X2)),X1)),meet(X1,join(X3,join(join(meet(X0,X1),meet(X1,X2)),X1)))),
inference(backward_demodulation,[],[f977,f1006]) ).
fof(f977,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),X1) = join(meet(X3,join(join(join(meet(X0,X1),meet(X1,X2)),X1),join(join(meet(X0,X1),meet(X1,X2)),X1))),meet(X1,join(X3,join(join(join(meet(X0,X1),meet(X1,X2)),X1),join(join(meet(X0,X1),meet(X1,X2)),X1))))),
inference(superposition,[],[f867,f271]) ).
fof(f1807,plain,
! [X2,X3,X0,X1,X4] : join(meet(X0,meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0)),meet(X4,X0)) = X0,
inference(superposition,[],[f1484,f60]) ).
fof(f1484,plain,
! [X2,X3,X0,X1,X4,X5] : join(meet(X0,X1),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,X1)),join(X0,X1))) = X1,
inference(backward_demodulation,[],[f1242,f1457]) ).
fof(f1242,plain,
! [X2,X3,X0,X1,X4,X5] : join(meet(X0,X1),meet(join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))),join(X0,X1))) = X1,
inference(backward_demodulation,[],[f270,f1240]) ).
fof(f5766,plain,
! [X2,X0,X1] : join(X0,meet(meet(X0,X1),X2)) = X0,
inference(superposition,[],[f4520,f2811]) ).
fof(f2811,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f2809,f1006]) ).
fof(f2809,plain,
! [X0,X1] : join(X0,X0) = join(X0,meet(X0,X1)),
inference(backward_demodulation,[],[f1901,f2781]) ).
fof(f2781,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(superposition,[],[f2733,f1666]) ).
fof(f1666,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X1),
inference(forward_demodulation,[],[f1665,f1659]) ).
fof(f1659,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(meet(X1,X0),X0)),
inference(forward_demodulation,[],[f1658,f1349]) ).
fof(f1349,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(meet(X0,X1),meet(meet(X0,X1),X1)),
inference(backward_demodulation,[],[f1107,f1340]) ).
fof(f1107,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(meet(meet(meet(X0,X1),X1),meet(X0,X1)),meet(meet(X0,X1),X1)),
inference(forward_demodulation,[],[f1106,f1006]) ).
fof(f1106,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(meet(join(meet(meet(X0,X1),X1),meet(meet(X0,X1),X1)),meet(X0,X1)),meet(meet(X0,X1),X1)),
inference(forward_demodulation,[],[f1026,f1006]) ).
fof(f1026,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(meet(join(meet(meet(X0,X1),X1),join(meet(meet(X0,X1),X1),meet(meet(X0,X1),X1))),meet(X0,X1)),meet(meet(X0,X1),X1)),
inference(backward_demodulation,[],[f894,f1006]) ).
fof(f894,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(meet(join(meet(meet(X0,X1),X1),join(meet(meet(X0,X1),X1),join(meet(meet(X0,X1),X1),meet(meet(X0,X1),X1)))),meet(X0,X1)),meet(meet(X0,X1),X1)),
inference(superposition,[],[f847,f467]) ).
fof(f1658,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(meet(X1,X0),meet(meet(X1,X0),X0))),
inference(backward_demodulation,[],[f1368,f1657]) ).
fof(f1657,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = join(meet(meet(X0,X1),X1),meet(X0,X1)),
inference(forward_demodulation,[],[f1656,f1456]) ).
fof(f1656,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = join(meet(meet(meet(X0,X1),X1),meet(meet(X0,X1),X1)),meet(X0,X1)),
inference(forward_demodulation,[],[f1649,f1340]) ).
fof(f1649,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = join(meet(meet(meet(X0,X1),X1),meet(meet(X0,X1),X1)),meet(meet(meet(X0,X1),X1),meet(X0,X1))),
inference(superposition,[],[f86,f1625]) ).
fof(f1368,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(meet(X1,X0),join(meet(meet(X1,X0),X0),meet(X1,X0)))),
inference(forward_demodulation,[],[f1367,f1006]) ).
fof(f1367,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(meet(X1,X0),join(meet(join(meet(X1,X0),meet(X1,X0)),X0),meet(X1,X0)))),
inference(forward_demodulation,[],[f1366,f1006]) ).
fof(f1366,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(meet(X1,X0),join(meet(join(meet(X1,X0),join(meet(X1,X0),meet(X1,X0))),X0),meet(X1,X0)))),
inference(forward_demodulation,[],[f1365,f1006]) ).
fof(f1365,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(meet(X1,X0),join(meet(join(meet(X1,X0),join(meet(X1,X0),join(meet(X1,X0),meet(X1,X0)))),X0),meet(X1,X0)))),
inference(forward_demodulation,[],[f1021,f1006]) ).
fof(f1021,plain,
! [X0,X1] : meet(X1,join(X0,X0)) = join(meet(X1,join(X0,X0)),meet(meet(X1,join(X0,X0)),join(meet(join(meet(X1,join(X0,X0)),join(meet(X1,join(X0,X0)),join(meet(X1,join(X0,X0)),meet(X1,join(X0,X0))))),X0),meet(X1,join(X0,X0))))),
inference(superposition,[],[f913,f979]) ).
fof(f1665,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = join(meet(X0,X1),meet(meet(X0,X1),X1)),
inference(forward_demodulation,[],[f1664,f1340]) ).
fof(f1664,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = join(meet(meet(meet(X0,X1),X1),meet(X0,X1)),meet(meet(X0,X1),X1)),
inference(forward_demodulation,[],[f1663,f1340]) ).
fof(f1663,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = join(meet(meet(meet(X0,X1),X1),meet(meet(meet(X0,X1),X1),meet(X0,X1))),meet(meet(X0,X1),X1)),
inference(forward_demodulation,[],[f1662,f1456]) ).
fof(f1662,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = join(meet(meet(meet(X0,X1),X1),meet(meet(meet(X0,X1),X1),meet(X0,X1))),meet(meet(meet(X0,X1),X1),meet(meet(X0,X1),X1))),
inference(forward_demodulation,[],[f1650,f1456]) ).
fof(f1650,plain,
! [X0,X1] : meet(meet(meet(X0,X1),X1),meet(meet(X0,X1),X1)) = join(meet(meet(meet(meet(X0,X1),X1),meet(meet(X0,X1),X1)),meet(meet(meet(X0,X1),X1),meet(X0,X1))),meet(meet(meet(meet(X0,X1),X1),meet(meet(X0,X1),X1)),meet(meet(X0,X1),X1))),
inference(superposition,[],[f107,f1625]) ).
fof(f107,plain,
! [X0,X1] : meet(meet(X0,X1),meet(X0,join(X0,X1))) = join(meet(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0)),meet(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(X0,X1))),
inference(superposition,[],[f86,f60]) ).
fof(f2733,plain,
! [X2,X1] : meet(meet(join(X1,X2),X1),X1) = X1,
inference(superposition,[],[f2386,f1625]) ).
fof(f2386,plain,
! [X3,X0,X1] : meet(meet(join(X0,X1),join(X3,X0)),X0) = X0,
inference(superposition,[],[f2297,f1498]) ).
fof(f1498,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f1437,f1456]) ).
fof(f1437,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,X0),meet(X1,X0)),X0),
inference(backward_demodulation,[],[f1328,f1435]) ).
fof(f1328,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,X0),meet(X1,X0)),meet(meet(X0,X0),X0)),
inference(forward_demodulation,[],[f1011,f1006]) ).
fof(f1011,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,X0),meet(X1,join(X0,X0))),meet(meet(X0,X0),X0)),
inference(superposition,[],[f60,f979]) ).
fof(f1901,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,f1617]) ).
fof(f1617,plain,
! [X0,X1] : join(join(X0,meet(X0,X1)),X0) = X0,
inference(superposition,[],[f1240,f1456]) ).
fof(f4520,plain,
! [X2,X0,X1] : join(X0,X1) = join(join(X0,X1),meet(X1,X2)),
inference(superposition,[],[f2811,f3720]) ).
fof(f3720,plain,
! [X2,X0,X1] : meet(X1,X2) = meet(join(X0,X1),meet(X1,X2)),
inference(superposition,[],[f2375,f3453]) ).
fof(f3453,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(superposition,[],[f3238,f2781]) ).
fof(f3238,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f2860,f2811]) ).
fof(f2860,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(forward_demodulation,[],[f2820,f1152]) ).
fof(f2820,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(meet(X1,join(X0,X1)),X1),
inference(backward_demodulation,[],[f1947,f2811]) ).
fof(f1947,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(meet(X1,join(X0,X1)),join(X1,meet(X1,join(X0,X1)))),
inference(forward_demodulation,[],[f1922,f1152]) ).
fof(f1922,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(meet(X1,join(X0,X1)),join(meet(meet(X1,join(X0,X1)),X1),meet(X1,join(X0,X1)))),
inference(superposition,[],[f1465,f218]) ).
fof(f1465,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = X0,
inference(backward_demodulation,[],[f1448,f1456]) ).
fof(f2375,plain,
! [X2,X3,X0,X1] : meet(X0,X1) = meet(meet(join(X2,X0),join(X3,meet(X0,X1))),meet(X0,X1)),
inference(superposition,[],[f2297,f60]) ).
fof(f2715,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,join(X2,meet(X0,X1))),meet(X0,X1)),
inference(superposition,[],[f2386,f60]) ).
fof(f208169,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(meet(X1,X0),meet(X1,meet(X0,X2))),
inference(backward_demodulation,[],[f195666,f205035]) ).
fof(f205035,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(backward_demodulation,[],[f195677,f203431]) ).
fof(f203431,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(meet(X0,X2),meet(X0,X1)),
inference(superposition,[],[f196384,f2811]) ).
fof(f196384,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(meet(join(X1,X0),X2),X0),
inference(forward_demodulation,[],[f196092,f86035]) ).
fof(f86035,plain,
! [X2,X0,X1] : meet(X0,X2) = join(meet(meet(X1,X0),X2),meet(X2,X0)),
inference(forward_demodulation,[],[f85425,f24357]) ).
fof(f24357,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X1,X0),join(X2,meet(X1,X0))),
inference(forward_demodulation,[],[f24174,f11120]) ).
fof(f11120,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(join(X2,meet(X0,X1)),meet(X1,X0)),
inference(superposition,[],[f3720,f10777]) ).
fof(f10777,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f2469,f2811]) ).
fof(f2469,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X0,join(X2,meet(X1,X0))),meet(X1,X0)),
inference(superposition,[],[f2381,f1457]) ).
fof(f24174,plain,
! [X2,X0,X1] : meet(meet(X1,X0),join(X2,meet(X1,X0))) = meet(join(X2,meet(X1,X0)),meet(X0,X1)),
inference(superposition,[],[f23753,f20079]) ).
fof(f20079,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X1,X0),join(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f19862,f11143]) ).
fof(f11143,plain,
! [X2,X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(meet(X1,X0),X2)),
inference(superposition,[],[f5766,f10777]) ).
fof(f19862,plain,
! [X2,X0,X1] : meet(meet(X1,X0),join(X2,meet(X0,X1))) = join(meet(X0,X1),meet(meet(X1,X0),join(X2,meet(X0,X1)))),
inference(superposition,[],[f3016,f11115]) ).
fof(f11115,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f3064,f10777]) ).
fof(f3064,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(backward_demodulation,[],[f3058,f3010]) ).
fof(f3010,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f2489,f2811]) ).
fof(f3058,plain,
! [X0,X1] : join(meet(X0,meet(X0,X1)),X0) = X0,
inference(forward_demodulation,[],[f3001,f1456]) ).
fof(f3001,plain,
! [X0,X1] : join(meet(X0,meet(X0,X1)),meet(X0,X0)) = X0,
inference(superposition,[],[f60,f2811]) ).
fof(f3016,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X2,X0)) = join(X0,meet(join(X0,X1),join(X2,X0))),
inference(forward_demodulation,[],[f3011,f1456]) ).
fof(f3011,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X2,X0)) = join(X0,meet(meet(join(X0,X1),join(X2,X0)),meet(join(X0,X1),join(X2,X0)))),
inference(backward_demodulation,[],[f2742,f2995]) ).
fof(f2995,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X2,X0)) = join(meet(join(X0,X1),join(X2,X0)),X0),
inference(superposition,[],[f2811,f2386]) ).
fof(f2742,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X2,X0)) = join(X0,meet(meet(join(X0,X1),join(X2,X0)),join(meet(join(X0,X1),join(X2,X0)),X0))),
inference(superposition,[],[f60,f2386]) ).
fof(f23753,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),X0),
inference(superposition,[],[f20079,f2811]) ).
fof(f85425,plain,
! [X2,X0,X1] : join(meet(meet(X1,X0),X2),meet(X2,X0)) = meet(meet(X2,X0),join(meet(meet(X1,X0),X2),meet(X2,X0))),
inference(superposition,[],[f2722,f32403]) ).
fof(f32403,plain,
! [X2,X3,X0,X1] : join(X0,join(meet(meet(X1,X0),X2),meet(X3,X0))) = X0,
inference(superposition,[],[f4956,f4476]) ).
fof(f4476,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(X0,meet(meet(X1,X0),X2)),
inference(superposition,[],[f3720,f1457]) ).
fof(f4956,plain,
! [X2,X0,X1] : join(X0,join(meet(X0,X1),meet(X2,X0))) = X0,
inference(superposition,[],[f3308,f4124]) ).
fof(f4124,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(superposition,[],[f2607,f3238]) ).
fof(f2607,plain,
! [X2,X0,X1] : join(join(meet(X2,X0),meet(X1,X0)),X0) = X0,
inference(superposition,[],[f1240,f2540]) ).
fof(f3308,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f2811,f2781]) ).
fof(f2722,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X1,X2)) = meet(meet(X1,join(X3,join(meet(X0,X1),meet(X1,X2)))),join(meet(X0,X1),meet(X1,X2))),
inference(superposition,[],[f2386,f1240]) ).
fof(f196092,plain,
! [X2,X0,X1] : meet(meet(join(X1,X0),X2),X0) = join(meet(meet(join(X1,X0),X2),X0),meet(X0,X2)),
inference(superposition,[],[f11113,f192842]) ).
fof(f192842,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(join(X2,X1),X0)),
inference(forward_demodulation,[],[f192841,f172711]) ).
fof(f172711,plain,
! [X2,X0,X1] : meet(X1,X0) = join(meet(X0,X1),meet(X1,meet(X2,X0))),
inference(forward_demodulation,[],[f172189,f11128]) ).
fof(f11128,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X1,X0),join(meet(X0,X1),X2)),
inference(superposition,[],[f4050,f10777]) ).
fof(f4050,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),join(X0,X2)),
inference(superposition,[],[f3896,f3064]) ).
fof(f3896,plain,
! [X2,X0,X1] : meet(X0,join(join(X0,X1),X2)) = X0,
inference(superposition,[],[f3238,f3819]) ).
fof(f3819,plain,
! [X2,X0,X1] : meet(join(join(X0,X1),X2),X0) = X0,
inference(superposition,[],[f3692,f3308]) ).
fof(f3692,plain,
! [X2,X0,X1] : meet(join(X0,join(X1,X2)),X1) = X1,
inference(superposition,[],[f2297,f3453]) ).
fof(f172189,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,meet(X2,X0))) = meet(meet(X1,X0),join(meet(X0,X1),meet(X1,meet(X2,X0)))),
inference(superposition,[],[f2722,f50032]) ).
fof(f50032,plain,
! [X2,X3,X0,X1] : join(X0,join(meet(X0,X3),meet(X1,meet(X2,X0)))) = X0,
inference(superposition,[],[f4420,f5478]) ).
fof(f5478,plain,
! [X2,X0,X1] : meet(X2,meet(X1,X0)) = meet(X0,meet(X2,meet(X1,X0))),
inference(superposition,[],[f3803,f1457]) ).
fof(f3803,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(join(X2,X1),meet(X0,X1)),
inference(superposition,[],[f3692,f1625]) ).
fof(f4420,plain,
! [X2,X0,X1] : join(X0,join(meet(X0,X1),meet(X0,X2))) = X0,
inference(superposition,[],[f3308,f3464]) ).
fof(f3464,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X0,X2)),X0) = X0,
inference(superposition,[],[f1240,f3238]) ).
fof(f192841,plain,
! [X2,X0,X1] : meet(X1,meet(join(X2,X1),X0)) = join(meet(X0,X1),meet(X1,meet(join(X2,X1),X0))),
inference(forward_demodulation,[],[f192098,f11569]) ).
fof(f11569,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f11115,f11113]) ).
fof(f192098,plain,
! [X2,X0,X1] : meet(X1,meet(join(X2,X1),X0)) = join(meet(X0,X1),meet(meet(join(X2,X1),X0),X1)),
inference(superposition,[],[f86035,f18909]) ).
fof(f18909,plain,
! [X2,X0,X1] : meet(X2,X1) = meet(meet(X2,X1),meet(join(X0,X1),X2)),
inference(superposition,[],[f4004,f11569]) ).
fof(f4004,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(join(X2,X1),X0),meet(X0,X1)),
inference(superposition,[],[f2376,f2811]) ).
fof(f2376,plain,
! [X2,X3,X0,X1] : meet(X0,X1) = meet(meet(join(X2,X1),join(X3,meet(X0,X1))),meet(X0,X1)),
inference(superposition,[],[f2297,f218]) ).
fof(f11113,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X1,X0)),
inference(superposition,[],[f2811,f10777]) ).
fof(f195677,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(meet(X0,X1),meet(X0,X2)),
inference(superposition,[],[f192842,f2811]) ).
fof(f195666,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(meet(X1,X0),meet(meet(X0,X1),X2)),
inference(superposition,[],[f192842,f11113]) ).
fof(f2,axiom,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LAT082-1 : TPTP v8.1.2. Released v2.6.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 12:25:35 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (19372)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (19375)WARNING: value z3 for option sas not known
% 0.11/0.34 % (19375)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (19374)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (19376)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (19378)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.34 % (19377)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.34 % (19373)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (19379)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.16/0.35 TRYING [3]
% 0.16/0.35 TRYING [1]
% 0.16/0.36 TRYING [2]
% 0.16/0.38 TRYING [3]
% 7.57/1.44 TRYING [1]
% 7.57/1.44 TRYING [2]
% 7.57/1.45 TRYING [3]
% 93.76/13.80 % (19378)First to succeed.
% 93.76/13.80 % (19378)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19372"
% 93.76/13.82 % (19378)Refutation found. Thanks to Tanya!
% 93.76/13.82 % SZS status Unsatisfiable for theBenchmark
% 93.76/13.82 % SZS output start Proof for theBenchmark
% See solution above
% 93.76/13.82 % (19378)------------------------------
% 93.76/13.82 % (19378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 93.76/13.82 % (19378)Termination reason: Refutation
% 93.76/13.82
% 93.76/13.82 % (19378)Memory used [KB]: 103471
% 93.76/13.82 % (19378)Time elapsed: 13.456 s
% 93.76/13.82 % (19378)Instructions burned: 28679 (million)
% 93.76/13.82 % (19372)Success in time 13.458 s
%------------------------------------------------------------------------------