TSTP Solution File: LAT015-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT015-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 : Tue Apr 30 13:20:16 EDT 2024
% Result : Unsatisfiable 160.45s 23.24s
% Output : Refutation 160.45s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f343128,plain,
$false,
inference(trivial_inequality_removal,[],[f342753]) ).
fof(f342753,plain,
meet(a,meet(b,c)) != meet(a,meet(b,c)),
inference(superposition,[],[f212337,f328724]) ).
fof(f328724,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(X1,meet(X0,X2)),
inference(forward_demodulation,[],[f323485,f21190]) ).
fof(f21190,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(meet(X1,X0),meet(X1,meet(X0,X2))),
inference(superposition,[],[f4375,f8944]) ).
fof(f8944,plain,
! [X2,X0,X1] : join(X0,meet(X2,meet(X0,X1))) = X0,
inference(superposition,[],[f8613,f4027]) ).
fof(f4027,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(superposition,[],[f3911,f1410]) ).
fof(f1410,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(backward_demodulation,[],[f1077,f1409]) ).
fof(f1409,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f1402,f1078]) ).
fof(f1078,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/sandbox/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(f1402,plain,
! [X0] : meet(X0,X0) = join(meet(X0,X0),X0),
inference(backward_demodulation,[],[f1131,f1401]) ).
fof(f1401,plain,
! [X0,X1] : meet(X0,X0) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(backward_demodulation,[],[f1177,f1389]) ).
fof(f1389,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(X0,X0)),X0),
inference(backward_demodulation,[],[f1166,f1388]) ).
fof(f1388,plain,
! [X0] : meet(meet(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f1387,f1077]) ).
fof(f1387,plain,
! [X0] : meet(meet(X0,X0),X0) = join(meet(X0,X0),meet(meet(meet(X0,X0),X0),X0)),
inference(forward_demodulation,[],[f1381,f1337]) ).
fof(f1337,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(meet(X1,X0),X0),meet(X1,X0)),
inference(forward_demodulation,[],[f1336,f1006]) ).
fof(f1336,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(join(meet(X1,X0),meet(X1,X0)),X0),meet(X1,X0)),
inference(forward_demodulation,[],[f1335,f1006]) ).
fof(f1335,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,[],[f1334,f1006]) ).
fof(f1334,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(f1381,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,f1078]) ).
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(f1166,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,[],[f1165,f1006]) ).
fof(f1165,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,[],[f1164,f1006]) ).
fof(f1164,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,[],[f1067,f1118]) ).
fof(f1118,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(X1,meet(X1,join(X0,X1))),
inference(forward_demodulation,[],[f1117,f1094]) ).
fof(f1094,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f1093,f1006]) ).
fof(f1093,plain,
! [X0,X1] : meet(meet(join(X0,X0),join(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f1051,f1006]) ).
fof(f1051,plain,
! [X0,X1] : meet(meet(join(X0,join(X0,X0)),join(X1,X0)),X0) = X0,
inference(backward_demodulation,[],[f847,f1006]) ).
fof(f1117,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(meet(meet(X1,join(X0,X1)),X1),meet(X1,join(X0,X1))),
inference(forward_demodulation,[],[f1116,f1006]) ).
fof(f1116,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,[],[f1115,f1006]) ).
fof(f1115,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,[],[f1053,f1006]) ).
fof(f1053,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(meet(join(meet(X1,join(X0,X1)),join(meet(X1,join(X0,X1)),join(meet(X1,join(X0,X1)),meet(X1,join(X0,X1))))),X1),meet(X1,join(X0,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(f1067,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(f1177,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,[],[f1176,f1006]) ).
fof(f1176,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,[],[f1175,f1006]) ).
fof(f1175,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,[],[f1174,f1094]) ).
fof(f1174,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,[],[f1070,f1118]) ).
fof(f1070,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(f1131,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,[],[f1130,f1006]) ).
fof(f1130,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,[],[f1129,f1006]) ).
fof(f1129,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,[],[f1128,f1006]) ).
fof(f1128,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,[],[f1127,f1118]) ).
fof(f1127,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,[],[f1055,f1094]) ).
fof(f1055,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(f1077,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,X0)) = X0,
inference(backward_demodulation,[],[f979,f1006]) ).
fof(f3911,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(superposition,[],[f3722,f1409]) ).
fof(f3722,plain,
! [X2,X0,X1] : meet(meet(join(X1,X0),join(X2,X0)),X0) = X0,
inference(superposition,[],[f3578,f1006]) ).
fof(f3578,plain,
! [X2,X3,X0,X1] : meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0) = X0,
inference(superposition,[],[f2918,f1576]) ).
fof(f1576,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(superposition,[],[f1237,f1410]) ).
fof(f1237,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(f2918,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,[],[f1421,f60]) ).
fof(f1421,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,[],[f1239,f1410]) ).
fof(f1239,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,f1237]) ).
fof(f8613,plain,
! [X2,X0,X1] : join(X0,meet(meet(X0,X1),X2)) = X0,
inference(superposition,[],[f7630,f4636]) ).
fof(f4636,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f4500,f4485]) ).
fof(f4485,plain,
! [X0,X1] : meet(X0,join(X0,meet(X0,X1))) = X0,
inference(backward_demodulation,[],[f2460,f4456]) ).
fof(f4456,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(superposition,[],[f4397,f1617]) ).
fof(f1617,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X1),
inference(forward_demodulation,[],[f1616,f1610]) ).
fof(f1610,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(meet(X1,X0),X0)),
inference(forward_demodulation,[],[f1609,f1345]) ).
fof(f1345,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(meet(X0,X1),meet(meet(X0,X1),X1)),
inference(backward_demodulation,[],[f1110,f1337]) ).
fof(f1110,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,[],[f1109,f1006]) ).
fof(f1109,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,[],[f1108,f1006]) ).
fof(f1108,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(forward_demodulation,[],[f1052,f1006]) ).
fof(f1052,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(backward_demodulation,[],[f896,f1006]) ).
fof(f896,plain,
! [X0,X1] : meet(meet(X0,join(X1,X1)),X1) = meet(meet(join(meet(meet(X0,join(X1,X1)),X1),join(meet(meet(X0,join(X1,X1)),X1),join(meet(meet(X0,join(X1,X1)),X1),meet(meet(X0,join(X1,X1)),X1)))),meet(X0,join(X1,X1))),meet(meet(X0,join(X1,X1)),X1)),
inference(superposition,[],[f847,f551]) ).
fof(f551,plain,
! [X0,X1] : meet(X0,join(X1,X1)) = join(meet(meet(X0,join(X1,X1)),meet(X1,join(X0,join(X1,X1)))),meet(meet(X0,join(X1,X1)),X1)),
inference(superposition,[],[f60,f530]) ).
fof(f1609,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(meet(X1,X0),meet(meet(X1,X0),X0))),
inference(backward_demodulation,[],[f1366,f1608]) ).
fof(f1608,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = join(meet(meet(X0,X1),X1),meet(X0,X1)),
inference(forward_demodulation,[],[f1607,f1409]) ).
fof(f1607,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,[],[f1600,f1337]) ).
fof(f1600,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,f1576]) ).
fof(f1366,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,[],[f1365,f1006]) ).
fof(f1365,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,[],[f1364,f1006]) ).
fof(f1364,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,[],[f1363,f1006]) ).
fof(f1363,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(f1616,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = join(meet(X0,X1),meet(meet(X0,X1),X1)),
inference(forward_demodulation,[],[f1615,f1337]) ).
fof(f1615,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,[],[f1614,f1337]) ).
fof(f1614,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,[],[f1613,f1409]) ).
fof(f1613,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,[],[f1601,f1409]) ).
fof(f1601,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,f1576]) ).
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(f4397,plain,
! [X2,X1] : meet(meet(join(X1,X2),X1),X1) = X1,
inference(superposition,[],[f3735,f1576]) ).
fof(f3735,plain,
! [X3,X0,X1] : meet(meet(join(X0,X1),join(X3,X0)),X0) = X0,
inference(superposition,[],[f3578,f1449]) ).
fof(f1449,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f1390,f1409]) ).
fof(f1390,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,X0),meet(X1,X0)),X0),
inference(backward_demodulation,[],[f1325,f1388]) ).
fof(f1325,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(f2460,plain,
! [X0,X1] : meet(join(X0,meet(X0,X1)),X0) = meet(meet(join(X0,meet(X0,X1)),X0),join(X0,meet(X0,X1))),
inference(forward_demodulation,[],[f2459,f1759]) ).
fof(f1759,plain,
! [X0,X1] : meet(join(X0,meet(X0,X1)),X0) = join(meet(meet(join(X0,meet(X0,X1)),X0),meet(meet(join(X0,meet(X0,X1)),X0),join(X0,meet(X0,X1)))),meet(join(X0,meet(X0,X1)),X0)),
inference(forward_demodulation,[],[f1758,f1409]) ).
fof(f1758,plain,
! [X0,X1] : meet(meet(join(X0,meet(X0,X1)),X0),meet(join(X0,meet(X0,X1)),X0)) = join(meet(meet(meet(join(X0,meet(X0,X1)),X0),meet(join(X0,meet(X0,X1)),X0)),meet(meet(join(X0,meet(X0,X1)),X0),join(X0,meet(X0,X1)))),meet(meet(join(X0,meet(X0,X1)),X0),meet(join(X0,meet(X0,X1)),X0))),
inference(forward_demodulation,[],[f1750,f1617]) ).
fof(f1750,plain,
! [X0,X1] : meet(meet(join(X0,meet(X0,X1)),X0),meet(join(X0,meet(X0,X1)),X0)) = join(meet(meet(meet(join(X0,meet(X0,X1)),X0),meet(join(X0,meet(X0,X1)),X0)),meet(meet(join(X0,meet(X0,X1)),X0),join(X0,meet(X0,X1)))),meet(meet(meet(join(X0,meet(X0,X1)),X0),meet(join(X0,meet(X0,X1)),X0)),meet(join(X0,meet(X0,X1)),X0))),
inference(superposition,[],[f107,f1568]) ).
fof(f1568,plain,
! [X0,X1] : join(join(X0,meet(X0,X1)),X0) = X0,
inference(superposition,[],[f1237,f1409]) ).
fof(f2459,plain,
! [X0,X1] : meet(meet(join(X0,meet(X0,X1)),X0),join(X0,meet(X0,X1))) = join(meet(meet(join(X0,meet(X0,X1)),X0),meet(meet(join(X0,meet(X0,X1)),X0),join(X0,meet(X0,X1)))),meet(join(X0,meet(X0,X1)),X0)),
inference(backward_demodulation,[],[f1762,f2414]) ).
fof(f2414,plain,
! [X0,X1] : meet(join(X0,meet(X0,X1)),X0) = meet(meet(meet(join(X0,meet(X0,X1)),X0),join(X0,meet(X0,X1))),meet(join(X0,meet(X0,X1)),X0)),
inference(superposition,[],[f1221,f1568]) ).
fof(f1221,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = meet(meet(meet(X0,join(X0,X1)),X0),meet(X0,join(X0,X1))),
inference(forward_demodulation,[],[f1220,f1006]) ).
fof(f1220,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = meet(meet(join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))),X0),meet(X0,join(X0,X1))),
inference(forward_demodulation,[],[f1084,f1006]) ).
fof(f1084,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = meet(meet(join(meet(X0,join(X0,X1)),join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1)))),X0),meet(X0,join(X0,X1))),
inference(backward_demodulation,[],[f901,f1006]) ).
fof(f901,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = meet(meet(join(meet(X0,join(X0,X1)),join(meet(X0,join(X0,X1)),join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))))),X0),meet(X0,join(X0,X1))),
inference(superposition,[],[f847,f60]) ).
fof(f1762,plain,
! [X0,X1] : meet(meet(join(X0,meet(X0,X1)),X0),join(X0,meet(X0,X1))) = join(meet(meet(join(X0,meet(X0,X1)),X0),meet(meet(join(X0,meet(X0,X1)),X0),join(X0,meet(X0,X1)))),meet(meet(meet(join(X0,meet(X0,X1)),X0),join(X0,meet(X0,X1))),meet(join(X0,meet(X0,X1)),X0))),
inference(forward_demodulation,[],[f1753,f1409]) ).
fof(f1753,plain,
! [X0,X1] : meet(meet(join(X0,meet(X0,X1)),X0),join(X0,meet(X0,X1))) = join(meet(meet(meet(join(X0,meet(X0,X1)),X0),meet(join(X0,meet(X0,X1)),X0)),meet(meet(join(X0,meet(X0,X1)),X0),join(X0,meet(X0,X1)))),meet(meet(meet(join(X0,meet(X0,X1)),X0),join(X0,meet(X0,X1))),meet(join(X0,meet(X0,X1)),X0))),
inference(superposition,[],[f465,f1568]) ).
fof(f465,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = join(meet(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0)),meet(meet(meet(X0,X1),X0),meet(X0,X1))),
inference(superposition,[],[f218,f86]) ).
fof(f4500,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = meet(X0,join(X0,meet(X0,X1))),
inference(backward_demodulation,[],[f4452,f4485]) ).
fof(f4452,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = meet(meet(X0,join(X0,meet(X0,X1))),join(X0,meet(X0,X1))),
inference(superposition,[],[f4397,f1568]) ).
fof(f7630,plain,
! [X2,X0,X1] : join(X0,X1) = join(join(X0,X1),meet(X1,X2)),
inference(superposition,[],[f4636,f5106]) ).
fof(f5106,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(join(X2,X0),meet(X0,X1)),
inference(superposition,[],[f5046,f4868]) ).
fof(f4868,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f4867,f4787]) ).
fof(f4787,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f4456,f60]) ).
fof(f4867,plain,
! [X0,X1] : join(meet(X0,meet(X0,X1)),X0) = X0,
inference(forward_demodulation,[],[f4815,f1409]) ).
fof(f4815,plain,
! [X0,X1] : join(meet(X0,meet(X0,X1)),meet(X0,X0)) = X0,
inference(superposition,[],[f60,f4636]) ).
fof(f5046,plain,
! [X2,X0,X1] : meet(join(X0,join(X1,X2)),X1) = X1,
inference(superposition,[],[f3578,f5006]) ).
fof(f5006,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(superposition,[],[f4517,f4808]) ).
fof(f4808,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f4636,f4456]) ).
fof(f4517,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(forward_demodulation,[],[f4503,f1410]) ).
fof(f4503,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(meet(X0,join(X1,X0)),X0)),
inference(backward_demodulation,[],[f1140,f4490]) ).
fof(f4490,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = X0,
inference(backward_demodulation,[],[f1837,f4485]) ).
fof(f1837,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),meet(X0,join(X0,meet(X0,join(X1,X0))))) = X0,
inference(superposition,[],[f60,f1118]) ).
fof(f1140,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(meet(X0,join(X1,X0)),join(meet(X0,join(X1,X0)),X0))),
inference(forward_demodulation,[],[f1139,f1006]) ).
fof(f1139,plain,
! [X0,X1] : meet(join(X0,X0),join(X1,X0)) = join(X0,meet(meet(join(X0,X0),join(X1,X0)),join(meet(join(X0,X0),join(X1,X0)),X0))),
inference(forward_demodulation,[],[f1058,f1006]) ).
fof(f1058,plain,
! [X0,X1] : meet(join(X0,join(X0,X0)),join(X1,X0)) = join(X0,meet(meet(join(X0,join(X0,X0)),join(X1,X0)),join(meet(join(X0,join(X0,X0)),join(X1,X0)),X0))),
inference(backward_demodulation,[],[f910,f1006]) ).
fof(f910,plain,
! [X0,X1] : meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)) = join(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),join(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0))),
inference(superposition,[],[f60,f847]) ).
fof(f4375,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,join(X2,meet(X0,X1))),meet(X0,X1)),
inference(superposition,[],[f3735,f60]) ).
fof(f323485,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(meet(X1,X0),meet(X1,meet(X0,X2))),
inference(backward_demodulation,[],[f309378,f319903]) ).
fof(f319903,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(backward_demodulation,[],[f309397,f318018]) ).
fof(f318018,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(meet(X0,X2),meet(X0,X1)),
inference(superposition,[],[f310193,f4636]) ).
fof(f310193,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(meet(join(X1,X0),X2),X0),
inference(forward_demodulation,[],[f309840,f158583]) ).
fof(f158583,plain,
! [X2,X0,X1] : meet(X0,X2) = join(meet(meet(X1,X0),X2),meet(X2,X0)),
inference(forward_demodulation,[],[f157884,f30116]) ).
fof(f30116,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X1,X0),join(X2,meet(X1,X0))),
inference(forward_demodulation,[],[f29911,f16479]) ).
fof(f16479,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(join(X2,meet(X0,X1)),meet(X1,X0)),
inference(superposition,[],[f5106,f16076]) ).
fof(f16076,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f3871,f4636]) ).
fof(f3871,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X0,join(X2,meet(X1,X0))),meet(X1,X0)),
inference(superposition,[],[f3722,f1410]) ).
fof(f29911,plain,
! [X2,X0,X1] : meet(meet(X1,X0),join(X2,meet(X1,X0))) = meet(join(X2,meet(X1,X0)),meet(X0,X1)),
inference(superposition,[],[f27867,f27516]) ).
fof(f27516,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X1,X0),join(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f27245,f16505]) ).
fof(f16505,plain,
! [X2,X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(meet(X1,X0),X2)),
inference(superposition,[],[f8613,f16076]) ).
fof(f27245,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,[],[f4832,f16474]) ).
fof(f16474,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f4868,f16076]) ).
fof(f4832,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X2,X0)) = join(X0,meet(join(X0,X1),join(X2,X0))),
inference(forward_demodulation,[],[f4827,f1409]) ).
fof(f4827,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,[],[f4408,f4807]) ).
fof(f4807,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X2,X0)) = join(meet(join(X0,X1),join(X2,X0)),X0),
inference(superposition,[],[f4636,f3735]) ).
fof(f4408,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,f3735]) ).
fof(f27867,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),X0),
inference(forward_demodulation,[],[f27673,f26578]) ).
fof(f26578,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X0,X1),meet(X0,X1)),
inference(forward_demodulation,[],[f26359,f16471]) ).
fof(f16471,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X1,X0)),
inference(superposition,[],[f4636,f16076]) ).
fof(f26359,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = join(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f26056,f16471]) ).
fof(f26056,plain,
! [X0,X1] : join(X0,X1) = join(join(X1,X0),join(X1,X0)),
inference(forward_demodulation,[],[f25857,f5287]) ).
fof(f5287,plain,
! [X0,X1] : join(X0,X1) = join(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f4757,f4456]) ).
fof(f4757,plain,
! [X2,X0,X1] : join(X1,X0) = join(join(X0,meet(join(X1,X0),X2)),join(X1,X0)),
inference(superposition,[],[f1237,f4517]) ).
fof(f25857,plain,
! [X0,X1] : join(join(X1,X0),join(X1,X0)) = join(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f25759,f5287]) ).
fof(f25759,plain,
! [X0,X1] : join(X1,X0) = join(join(X0,X1),X1),
inference(forward_demodulation,[],[f25561,f5590]) ).
fof(f5590,plain,
! [X2,X0,X1] : join(X0,X1) = meet(join(X0,X1),join(join(X1,X0),X2)),
inference(superposition,[],[f5195,f5287]) ).
fof(f5195,plain,
! [X2,X0,X1] : meet(X0,join(join(X0,X1),X2)) = X0,
inference(superposition,[],[f4826,f5123]) ).
fof(f5123,plain,
! [X2,X0,X1] : meet(join(join(X0,X1),X2),X0) = X0,
inference(superposition,[],[f5046,f4808]) ).
fof(f4826,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f4517,f4636]) ).
fof(f25561,plain,
! [X0,X1] : join(join(X0,X1),X1) = meet(join(X1,X0),join(join(X0,X1),X1)),
inference(superposition,[],[f12306,f5287]) ).
fof(f12306,plain,
! [X2,X0,X1] : join(X0,X1) = meet(join(X0,join(X1,X2)),join(X0,X1)),
inference(forward_demodulation,[],[f12065,f1410]) ).
fof(f12065,plain,
! [X2,X0,X1] : meet(join(X0,join(X1,X2)),join(X0,X1)) = join(join(X0,X1),meet(join(X0,join(X1,X2)),join(X0,X1))),
inference(superposition,[],[f3785,f5824]) ).
fof(f5824,plain,
! [X2,X0,X1] : meet(X0,meet(join(X0,X1),join(X0,X2))) = X0,
inference(superposition,[],[f4826,f5003]) ).
fof(f5003,plain,
! [X2,X0,X1] : meet(meet(join(X0,X2),join(X0,X1)),X0) = X0,
inference(superposition,[],[f3735,f4808]) ).
fof(f3785,plain,
! [X2,X3,X0,X1,X4] : meet(join(X0,join(X1,X2)),join(X3,X1)) = join(join(meet(X4,meet(join(X0,join(X1,X2)),join(X3,X1))),X1),meet(join(X0,join(X1,X2)),join(X3,X1))),
inference(superposition,[],[f1237,f3578]) ).
fof(f27673,plain,
! [X0,X1] : meet(meet(X1,X0),X0) = join(meet(X1,X0),meet(X1,X0)),
inference(superposition,[],[f26578,f4027]) ).
fof(f157884,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,[],[f4384,f46388]) ).
fof(f46388,plain,
! [X2,X3,X0,X1] : join(X0,join(meet(meet(X1,X0),X2),meet(X3,X0))) = X0,
inference(superposition,[],[f6264,f7571]) ).
fof(f7571,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(X0,meet(meet(X1,X0),X2)),
inference(superposition,[],[f5106,f1410]) ).
fof(f6264,plain,
! [X2,X0,X1] : join(X0,join(meet(X0,X1),meet(X2,X0))) = X0,
inference(superposition,[],[f4808,f5432]) ).
fof(f5432,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(superposition,[],[f4250,f4826]) ).
fof(f4250,plain,
! [X2,X0,X1] : join(join(meet(X2,X0),meet(X1,X0)),X0) = X0,
inference(superposition,[],[f1237,f4027]) ).
fof(f4384,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,[],[f3735,f1237]) ).
fof(f309840,plain,
! [X2,X0,X1] : meet(meet(join(X1,X0),X2),X0) = join(meet(meet(join(X1,X0),X2),X0),meet(X0,X2)),
inference(superposition,[],[f16471,f308874]) ).
fof(f308874,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(join(X2,X1),X0)),
inference(forward_demodulation,[],[f308873,f179802]) ).
fof(f179802,plain,
! [X2,X0,X1] : meet(X1,X0) = join(meet(X0,X1),meet(X1,meet(X2,X0))),
inference(forward_demodulation,[],[f179279,f16485]) ).
fof(f16485,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X1,X0),join(meet(X0,X1),X2)),
inference(superposition,[],[f5358,f16076]) ).
fof(f5358,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),join(X0,X2)),
inference(superposition,[],[f5195,f4868]) ).
fof(f179279,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,[],[f4384,f50647]) ).
fof(f50647,plain,
! [X2,X3,X0,X1] : join(X0,join(meet(X0,X3),meet(X1,meet(X2,X0)))) = X0,
inference(superposition,[],[f5612,f7660]) ).
fof(f7660,plain,
! [X2,X0,X1] : meet(X2,meet(X1,X0)) = meet(X0,meet(X2,meet(X1,X0))),
inference(superposition,[],[f5107,f1410]) ).
fof(f5107,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(join(X2,X1),meet(X0,X1)),
inference(superposition,[],[f5046,f1576]) ).
fof(f5612,plain,
! [X2,X0,X1] : join(X0,join(meet(X0,X1),meet(X0,X2))) = X0,
inference(superposition,[],[f4994,f4826]) ).
fof(f4994,plain,
! [X2,X0,X1] : join(X1,join(meet(X0,X1),meet(X1,X2))) = X1,
inference(superposition,[],[f4808,f1237]) ).
fof(f308873,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,[],[f308117,f16999]) ).
fof(f16999,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f16473,f16076]) ).
fof(f16473,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f4826,f16076]) ).
fof(f308117,plain,
! [X2,X0,X1] : meet(X1,meet(join(X2,X1),X0)) = join(meet(X0,X1),meet(meet(join(X2,X1),X0),X1)),
inference(superposition,[],[f158583,f22364]) ).
fof(f22364,plain,
! [X2,X0,X1] : meet(X2,X1) = meet(meet(X2,X1),meet(join(X0,X1),X2)),
inference(superposition,[],[f6936,f16999]) ).
fof(f6936,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(join(X2,X1),X0),meet(X0,X1)),
inference(superposition,[],[f3713,f4636]) ).
fof(f3713,plain,
! [X2,X3,X0,X1] : meet(X0,X1) = meet(meet(join(X2,X1),join(X3,meet(X0,X1))),meet(X0,X1)),
inference(superposition,[],[f3578,f218]) ).
fof(f309397,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(meet(X0,X1),meet(X0,X2)),
inference(superposition,[],[f308874,f4636]) ).
fof(f309378,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(meet(X1,X0),meet(meet(X0,X1),X2)),
inference(superposition,[],[f308874,f16471]) ).
fof(f212337,plain,
meet(meet(a,b),c) != meet(a,meet(b,c)),
inference(trivial_inequality_removal,[],[f212336]) ).
fof(f212336,plain,
( join(a,b) != join(a,b)
| meet(meet(a,b),c) != meet(a,meet(b,c)) ),
inference(forward_demodulation,[],[f212335,f6584]) ).
fof(f6584,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(superposition,[],[f5581,f5287]) ).
fof(f5581,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f4808,f5287]) ).
fof(f212335,plain,
( join(a,b) != join(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c)) ),
inference(trivial_inequality_removal,[],[f212334]) ).
fof(f212334,plain,
( meet(a,b) != meet(a,b)
| join(a,b) != join(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c)) ),
inference(forward_demodulation,[],[f209328,f16999]) ).
fof(f209328,plain,
( meet(a,b) != meet(b,a)
| join(a,b) != join(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c)) ),
inference(trivial_inequality_removal,[],[f209327]) ).
fof(f209327,plain,
( join(a,join(b,c)) != join(a,join(b,c))
| meet(a,b) != meet(b,a)
| join(a,b) != join(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c)) ),
inference(backward_demodulation,[],[f5017,f203303]) ).
fof(f203303,plain,
! [X2,X0,X1] : join(X1,join(X0,X2)) = join(join(X1,X0),X2),
inference(backward_demodulation,[],[f66213,f202588]) ).
fof(f202588,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X1,X2),join(X0,X1)),
inference(superposition,[],[f55533,f5046]) ).
fof(f55533,plain,
! [X2,X0,X1] : join(X1,X0) = join(X0,join(X1,meet(join(X1,X0),X2))),
inference(superposition,[],[f25767,f6584]) ).
fof(f25767,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(join(X1,X0),X2))),
inference(backward_demodulation,[],[f25757,f25629]) ).
fof(f25629,plain,
! [X2,X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X0,join(X1,X2))),
inference(superposition,[],[f12306,f16999]) ).
fof(f25757,plain,
! [X2,X0,X1] : join(X1,join(X0,meet(join(X1,X0),X2))) = meet(join(X1,X0),join(X1,join(X0,meet(join(X1,X0),X2)))),
inference(forward_demodulation,[],[f25559,f6584]) ).
fof(f25559,plain,
! [X2,X0,X1] : join(join(X0,meet(join(X1,X0),X2)),X1) = meet(join(X1,X0),join(join(X0,meet(join(X1,X0),X2)),X1)),
inference(superposition,[],[f12306,f4757]) ).
fof(f66213,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(join(X0,X2),join(X1,X0)),
inference(superposition,[],[f59328,f4517]) ).
fof(f59328,plain,
! [X2,X0,X1] : join(X0,X2) = join(join(meet(X1,X0),X2),X0),
inference(forward_demodulation,[],[f59120,f53843]) ).
fof(f53843,plain,
! [X2,X0,X1] : join(X0,X2) = meet(join(join(X1,X2),X0),join(X0,X2)),
inference(superposition,[],[f25492,f6584]) ).
fof(f25492,plain,
! [X2,X0,X1] : join(X2,X0) = meet(join(X2,join(X1,X0)),join(X2,X0)),
inference(superposition,[],[f12306,f6584]) ).
fof(f59120,plain,
! [X2,X0,X1] : join(join(meet(X1,X0),X2),X0) = meet(join(join(meet(X1,X0),X2),X0),join(X0,X2)),
inference(superposition,[],[f5583,f56212]) ).
fof(f56212,plain,
! [X2,X0,X1] : join(X2,X0) = join(X2,join(meet(X1,X2),X0)),
inference(superposition,[],[f55610,f6584]) ).
fof(f55610,plain,
! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,meet(X2,X0))),
inference(superposition,[],[f25767,f5168]) ).
fof(f5168,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(join(X1,X2),meet(X0,X1)),
inference(superposition,[],[f5123,f1576]) ).
fof(f5583,plain,
! [X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f5006,f5287]) ).
fof(f5017,plain,
( join(join(a,b),c) != join(a,join(b,c))
| meet(a,b) != meet(b,a)
| join(a,b) != join(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c)) ),
inference(trivial_inequality_removal,[],[f5016]) ).
fof(f5016,plain,
( a != a
| join(join(a,b),c) != join(a,join(b,c))
| meet(a,b) != meet(b,a)
| join(a,b) != join(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c)) ),
inference(backward_demodulation,[],[f4643,f5006]) ).
fof(f4643,plain,
( join(join(a,b),c) != join(a,join(b,c))
| a != meet(a,join(a,b))
| meet(a,b) != meet(b,a)
| join(a,b) != join(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c)) ),
inference(trivial_inequality_removal,[],[f4642]) ).
fof(f4642,plain,
( a != a
| join(join(a,b),c) != join(a,join(b,c))
| a != meet(a,join(a,b))
| meet(a,b) != meet(b,a)
| join(a,b) != join(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c)) ),
inference(backward_demodulation,[],[f1420,f4636]) ).
fof(f1420,plain,
( join(join(a,b),c) != join(a,join(b,c))
| a != meet(a,join(a,b))
| a != join(a,meet(a,b))
| meet(a,b) != meet(b,a)
| join(a,b) != join(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c)) ),
inference(trivial_inequality_removal,[],[f1419]) ).
fof(f1419,plain,
( a != a
| join(join(a,b),c) != join(a,join(b,c))
| a != meet(a,join(a,b))
| a != join(a,meet(a,b))
| meet(a,b) != meet(b,a)
| join(a,b) != join(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c)) ),
inference(backward_demodulation,[],[f1092,f1409]) ).
fof(f1092,plain,
( join(join(a,b),c) != join(a,join(b,c))
| a != meet(a,join(a,b))
| a != join(a,meet(a,b))
| meet(a,b) != meet(b,a)
| join(a,b) != join(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c))
| a != meet(a,a) ),
inference(trivial_inequality_removal,[],[f1091]) ).
fof(f1091,plain,
( a != a
| join(join(a,b),c) != join(a,join(b,c))
| a != meet(a,join(a,b))
| a != join(a,meet(a,b))
| meet(a,b) != meet(b,a)
| join(a,b) != join(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c))
| a != meet(a,a) ),
inference(backward_demodulation,[],[f2,f1006]) ).
fof(f2,axiom,
( join(join(a,b),c) != join(a,join(b,c))
| a != join(a,a)
| a != meet(a,join(a,b))
| a != join(a,meet(a,b))
| meet(a,b) != meet(b,a)
| join(a,b) != join(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c))
| a != meet(a,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT015-1 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 21:25:04 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (16956)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (16959)WARNING: value z3 for option sas not known
% 0.15/0.38 % (16960)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (16957)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (16958)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (16962)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)
% 0.15/0.38 % (16963)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)
% 0.15/0.38 % (16959)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)
% 0.15/0.38 % (16961)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.22/0.42 TRYING [3]
% 8.06/1.51 TRYING [1]
% 8.06/1.51 TRYING [2]
% 8.24/1.52 TRYING [3]
% 159.89/23.19 % (16962)First to succeed.
% 160.45/23.24 % (16962)Refutation found. Thanks to Tanya!
% 160.45/23.24 % SZS status Unsatisfiable for theBenchmark
% 160.45/23.24 % SZS output start Proof for theBenchmark
% See solution above
% 160.45/23.24 % (16962)------------------------------
% 160.45/23.24 % (16962)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 160.45/23.24 % (16962)Termination reason: Refutation
% 160.45/23.24
% 160.45/23.24 % (16962)Memory used [KB]: 254497
% 160.45/23.24 % (16962)Time elapsed: 22.827 s
% 160.45/23.24 % (16962)Instructions burned: 62560 (million)
% 160.45/23.24 % (16962)------------------------------
% 160.45/23.24 % (16962)------------------------------
% 160.45/23.24 % (16956)Success in time 22.624 s
%------------------------------------------------------------------------------