TSTP Solution File: LAT084-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT084-1 : 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 : n012.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 13:20:39 EDT 2024
% Result : Unsatisfiable 11.72s 2.00s
% Output : Refutation 11.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 2
% Syntax : Number of formulae : 160 ( 160 unt; 0 def)
% Number of atoms : 160 ( 159 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 484 ( 484 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37438,plain,
$false,
inference(trivial_inequality_removal,[],[f37437]) ).
fof(f37437,plain,
join(a,b) != join(a,b),
inference(superposition,[],[f2,f36619]) ).
fof(f36619,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(superposition,[],[f36245,f35863]) ).
fof(f35863,plain,
! [X0,X1] : join(X0,X1) = meet(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f8020,f3052]) ).
fof(f3052,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
inference(forward_demodulation,[],[f3046,f1452]) ).
fof(f1452,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f1445,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/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(f1445,plain,
! [X0] : meet(X0,X0) = join(meet(X0,X0),X0),
inference(backward_demodulation,[],[f1129,f1444]) ).
fof(f1444,plain,
! [X0,X1] : meet(X0,X0) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(backward_demodulation,[],[f1175,f1432]) ).
fof(f1432,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(X0,X0)),X0),
inference(backward_demodulation,[],[f1164,f1431]) ).
fof(f1431,plain,
! [X0] : meet(meet(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f1430,f1077]) ).
fof(f1077,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,X0)) = X0,
inference(backward_demodulation,[],[f979,f1006]) ).
fof(f1430,plain,
! [X0] : meet(meet(X0,X0),X0) = join(meet(X0,X0),meet(meet(meet(X0,X0),X0),X0)),
inference(forward_demodulation,[],[f1424,f1335]) ).
fof(f1335,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(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),meet(X1,X0)),X0),meet(X1,X0)),
inference(forward_demodulation,[],[f1333,f1006]) ).
fof(f1333,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,[],[f1332,f1006]) ).
fof(f1332,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(f1424,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(f1164,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,[],[f1163,f1006]) ).
fof(f1163,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,[],[f1162,f1006]) ).
fof(f1162,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,f1116]) ).
fof(f1116,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(X1,meet(X1,join(X0,X1))),
inference(forward_demodulation,[],[f1115,f1092]) ).
fof(f1092,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f1091,f1006]) ).
fof(f1091,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(f1115,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(meet(meet(X1,join(X0,X1)),X1),meet(X1,join(X0,X1))),
inference(forward_demodulation,[],[f1114,f1006]) ).
fof(f1114,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,[],[f1113,f1006]) ).
fof(f1113,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(f1175,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,[],[f1174,f1006]) ).
fof(f1174,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,[],[f1173,f1006]) ).
fof(f1173,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,[],[f1172,f1092]) ).
fof(f1172,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,f1116]) ).
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(f1129,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,[],[f1128,f1006]) ).
fof(f1128,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,[],[f1127,f1006]) ).
fof(f1127,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,[],[f1126,f1006]) ).
fof(f1126,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,[],[f1125,f1116]) ).
fof(f1125,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,f1092]) ).
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(f3046,plain,
! [X0,X1] : join(X0,X1) = join(X1,meet(join(X0,X1),join(X0,X1))),
inference(backward_demodulation,[],[f2541,f3001]) ).
fof(f3001,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X1),
inference(superposition,[],[f2807,f2485]) ).
fof(f2485,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(superposition,[],[f2377,f1452]) ).
fof(f2377,plain,
! [X2,X0,X1] : meet(meet(join(X1,X0),join(X2,X0)),X0) = X0,
inference(superposition,[],[f2293,f1006]) ).
fof(f2293,plain,
! [X2,X3,X0,X1] : meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0) = X0,
inference(superposition,[],[f1803,f1621]) ).
fof(f1621,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(superposition,[],[f1235,f1453]) ).
fof(f1453,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(backward_demodulation,[],[f1077,f1452]) ).
fof(f1235,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(f1803,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,[],[f1462,f60]) ).
fof(f1462,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,[],[f1237,f1453]) ).
fof(f1237,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,f1235]) ).
fof(f2807,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f2805,f1006]) ).
fof(f2805,plain,
! [X0,X1] : join(X0,X0) = join(X0,meet(X0,X1)),
inference(backward_demodulation,[],[f1897,f2777]) ).
fof(f2777,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(superposition,[],[f2729,f1662]) ).
fof(f1662,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X1),
inference(forward_demodulation,[],[f1661,f1655]) ).
fof(f1655,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(meet(X1,X0),X0)),
inference(forward_demodulation,[],[f1654,f1343]) ).
fof(f1343,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(meet(X0,X1),meet(meet(X0,X1),X1)),
inference(backward_demodulation,[],[f1108,f1335]) ).
fof(f1108,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,[],[f1107,f1006]) ).
fof(f1107,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,[],[f1106,f1006]) ).
fof(f1106,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(f1654,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(meet(X1,X0),meet(meet(X1,X0),X0))),
inference(backward_demodulation,[],[f1364,f1653]) ).
fof(f1653,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = join(meet(meet(X0,X1),X1),meet(X0,X1)),
inference(forward_demodulation,[],[f1652,f1452]) ).
fof(f1652,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,[],[f1645,f1335]) ).
fof(f1645,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,f1621]) ).
fof(f1364,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,[],[f1363,f1006]) ).
fof(f1363,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,[],[f1362,f1006]) ).
fof(f1362,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,[],[f1361,f1006]) ).
fof(f1361,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(f1661,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = join(meet(X0,X1),meet(meet(X0,X1),X1)),
inference(forward_demodulation,[],[f1660,f1335]) ).
fof(f1660,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,[],[f1659,f1335]) ).
fof(f1659,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,[],[f1658,f1452]) ).
fof(f1658,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,[],[f1646,f1452]) ).
fof(f1646,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,f1621]) ).
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(f2729,plain,
! [X2,X1] : meet(meet(join(X1,X2),X1),X1) = X1,
inference(superposition,[],[f2382,f1621]) ).
fof(f2382,plain,
! [X3,X0,X1] : meet(meet(join(X0,X1),join(X3,X0)),X0) = X0,
inference(superposition,[],[f2293,f1494]) ).
fof(f1494,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f1433,f1452]) ).
fof(f1433,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,X0),meet(X1,X0)),X0),
inference(backward_demodulation,[],[f1323,f1431]) ).
fof(f1323,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(f1897,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,f1613]) ).
fof(f1613,plain,
! [X0,X1] : join(join(X0,meet(X0,X1)),X0) = X0,
inference(superposition,[],[f1235,f1452]) ).
fof(f2541,plain,
! [X0,X1] : join(X0,X1) = join(X1,meet(join(X0,X1),join(join(X0,X1),X1))),
inference(superposition,[],[f60,f2485]) ).
fof(f8020,plain,
! [X2,X0,X1] : join(X0,X1) = meet(join(X0,join(X1,X2)),join(X0,X1)),
inference(forward_demodulation,[],[f7847,f1453]) ).
fof(f7847,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,[],[f2413,f4261]) ).
fof(f4261,plain,
! [X2,X0,X1] : meet(X0,meet(join(X0,X2),join(X0,X1))) = X0,
inference(superposition,[],[f3453,f3310]) ).
fof(f3310,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f2807,f2777]) ).
fof(f3453,plain,
! [X2,X0,X1] : meet(X0,meet(join(X0,X1),join(X2,X0))) = X0,
inference(superposition,[],[f3240,f2382]) ).
fof(f3240,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f2829,f2807]) ).
fof(f2829,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(forward_demodulation,[],[f2813,f1092]) ).
fof(f2813,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(meet(X1,join(X0,X1)),X1),
inference(backward_demodulation,[],[f1943,f2807]) ).
fof(f1943,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(meet(X1,join(X0,X1)),join(X1,meet(X1,join(X0,X1)))),
inference(forward_demodulation,[],[f1918,f1092]) ).
fof(f1918,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,[],[f1461,f218]) ).
fof(f1461,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = X0,
inference(backward_demodulation,[],[f1444,f1452]) ).
fof(f2413,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,[],[f1235,f2293]) ).
fof(f36245,plain,
! [X0,X1] : join(X1,X0) = meet(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f35863,f11571]) ).
fof(f11571,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f11117,f11115]) ).
fof(f11115,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X1,X0)),
inference(superposition,[],[f2807,f10779]) ).
fof(f10779,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f2465,f2807]) ).
fof(f2465,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X0,join(X2,meet(X1,X0))),meet(X1,X0)),
inference(superposition,[],[f2377,f1453]) ).
fof(f11117,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f3066,f10779]) ).
fof(f3066,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(backward_demodulation,[],[f3060,f3012]) ).
fof(f3012,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f2485,f2807]) ).
fof(f3060,plain,
! [X0,X1] : join(meet(X0,meet(X0,X1)),X0) = X0,
inference(forward_demodulation,[],[f3003,f1452]) ).
fof(f3003,plain,
! [X0,X1] : join(meet(X0,meet(X0,X1)),meet(X0,X0)) = X0,
inference(superposition,[],[f60,f2807]) ).
fof(f2,axiom,
join(a,b) != join(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LAT084-1 : TPTP v8.1.2. Released v2.6.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n012.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 21:22:56 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.32 % (10677)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.33 % (10680)WARNING: value z3 for option sas not known
% 0.10/0.33 % (10681)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.33 % (10683)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)
% 0.10/0.33 % (10680)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)
% 0.10/0.33 % (10684)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)
% 0.10/0.33 % (10678)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.33 % (10679)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.33 % (10682)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)
% 0.10/0.33 TRYING [1]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 TRYING [3]
% 0.10/0.35 TRYING [1]
% 0.10/0.35 TRYING [2]
% 0.10/0.37 TRYING [3]
% 8.08/1.47 TRYING [1]
% 8.08/1.47 TRYING [2]
% 8.08/1.48 TRYING [3]
% 11.35/1.98 % (10683)First to succeed.
% 11.72/2.00 % (10683)Refutation found. Thanks to Tanya!
% 11.72/2.00 % SZS status Unsatisfiable for theBenchmark
% 11.72/2.00 % SZS output start Proof for theBenchmark
% See solution above
% 11.72/2.00 % (10683)------------------------------
% 11.72/2.00 % (10683)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 11.72/2.00 % (10683)Termination reason: Refutation
% 11.72/2.00
% 11.72/2.00 % (10683)Memory used [KB]: 15639
% 11.72/2.00 % (10683)Time elapsed: 1.663 s
% 11.72/2.00 % (10683)Instructions burned: 3709 (million)
% 11.72/2.00 % (10683)------------------------------
% 11.72/2.00 % (10683)------------------------------
% 11.72/2.00 % (10677)Success in time 1.668 s
%------------------------------------------------------------------------------