TSTP Solution File: LAT030-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT030-1 : 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 : n017.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 13:20:28 EDT 2024
% Result : Unsatisfiable 2.81s 0.74s
% Output : Refutation 2.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 2
% Syntax : Number of formulae : 106 ( 96 unt; 0 def)
% Number of atoms : 136 ( 135 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 72 ( 42 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 21 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 266 ( 266 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5441,plain,
$false,
inference(trivial_inequality_removal,[],[f5440]) ).
fof(f5440,plain,
meet(a,b) != meet(a,b),
inference(superposition,[],[f5438,f3223]) ).
fof(f3223,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f3036,f2504]) ).
fof(f2504,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f551,f1939]) ).
fof(f1939,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f744,f1894]) ).
fof(f1894,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f1816,f1350]) ).
fof(f1350,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(backward_demodulation,[],[f918,f1330]) ).
fof(f1330,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(forward_demodulation,[],[f1329,f1328]) ).
fof(f1328,plain,
! [X0,X1] : join(X0,meet(X0,join(X1,X0))) = X0,
inference(forward_demodulation,[],[f1327,f656]) ).
fof(f656,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f641,f497]) ).
fof(f497,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(superposition,[],[f409,f186]) ).
fof(f186,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(forward_demodulation,[],[f182,f145]) ).
fof(f145,plain,
! [X1,X6,X5] : join(meet(join(meet(X5,X1),meet(X1,join(X5,X1))),X6),meet(X1,join(join(meet(X5,X1),meet(X1,join(X5,X1))),X6))) = X1,
inference(backward_demodulation,[],[f12,f143]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = X1,
inference(forward_demodulation,[],[f142,f51]) ).
fof(f51,plain,
! [X2,X1] : join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
inference(superposition,[],[f28,f28]) ).
fof(f28,plain,
! [X0,X1,X7] : 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))),X7),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))),X7))) = X1,
inference(superposition,[],[f12,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] : join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X3),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X1,X3),join(X4,X1)),X1)))),join(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f142,plain,
! [X2,X3,X10,X0,X1,X6,X7,X4,X5] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = join(meet(X1,X10),meet(X1,join(X1,X10))),
inference(forward_demodulation,[],[f112,f12]) ).
fof(f112,plain,
! [X2,X3,X10,X0,X1,X6,X7,X4,X5] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = join(meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))),meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))))),X10),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))),meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))))),X10))),
inference(superposition,[],[f55,f12]) ).
fof(f55,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(X1,X4),meet(X5,X1)),X1)),meet(X1,join(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)))),join(join(meet(X2,X1),meet(X1,join(X2,X1))),X3))) = X1,
inference(superposition,[],[f5,f28]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X8,X7] : join(meet(X0,X1),meet(X1,join(X0,X1))) = join(meet(join(meet(X7,join(meet(X0,X1),meet(X1,join(X0,X1)))),meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(X7,join(meet(X0,X1),meet(X1,join(X0,X1)))))),X8),meet(join(meet(X7,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(X3,join(meet(X0,X1),meet(X1,join(X0,X1))))),join(meet(X0,X1),meet(X1,join(X0,X1))))),meet(X1,join(X7,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(X3,join(meet(X0,X1),meet(X1,join(X0,X1))))),join(meet(X0,X1),meet(X1,join(X0,X1))))))),join(join(meet(X7,join(meet(X0,X1),meet(X1,join(X0,X1)))),meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(X7,join(meet(X0,X1),meet(X1,join(X0,X1)))))),X8))),
inference(superposition,[],[f1,f1]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : join(meet(join(meet(X5,X1),meet(X1,join(X5,X1))),X6),meet(join(meet(X5,join(join(meet(X1,X7),meet(X8,X1)),X1)),meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),join(X5,join(join(meet(X1,X7),meet(X8,X1)),X1)))),join(join(meet(X5,X1),meet(X1,join(X5,X1))),X6))) = X1,
inference(superposition,[],[f5,f1]) ).
fof(f182,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,[],[f81,f145]) ).
fof(f81,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(join(meet(X0,X1),meet(X1,join(X0,X1))),X3),meet(X4,join(meet(X0,X1),meet(X1,join(X0,X1))))),join(meet(X0,X1),meet(X1,join(X0,X1))))),meet(X1,join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X3),meet(X4,join(meet(X0,X1),meet(X1,join(X0,X1))))),join(meet(X0,X1),meet(X1,join(X0,X1))))))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))),
inference(superposition,[],[f5,f51]) ).
fof(f409,plain,
! [X2,X3,X0,X1] : join(meet(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)),meet(X3,join(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)))) = X0,
inference(superposition,[],[f281,f51]) ).
fof(f281,plain,
! [X2,X3,X0,X1,X4] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = X1,
inference(forward_demodulation,[],[f168,f206]) ).
fof(f206,plain,
! [X2,X3,X1,X8,X6,X7,X4,X5] : join(meet(X1,X6),meet(join(meet(X5,join(join(meet(X1,X7),meet(X8,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X5,join(join(meet(X1,X7),meet(X8,X1)),X1)))),join(X1,X6))) = X1,
inference(backward_demodulation,[],[f57,f186]) ).
fof(f57,plain,
! [X2,X3,X1,X8,X6,X7,X4,X5] : join(meet(join(meet(X5,X1),meet(X1,join(X5,X1))),X6),meet(join(meet(X5,join(join(meet(X1,X7),meet(X8,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X5,join(join(meet(X1,X7),meet(X8,X1)),X1)))),join(join(meet(X5,X1),meet(X1,join(X5,X1))),X6))) = X1,
inference(superposition,[],[f12,f28]) ).
fof(f168,plain,
! [X2,X3,X0,X1,X4,X5] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = join(meet(X1,X5),meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),join(X1,X5))),
inference(backward_demodulation,[],[f32,f143]) ).
fof(f32,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = join(meet(X1,X5),meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(join(meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),X6),meet(X7,join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))))),meet(join(meet(X8,join(join(meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),X9),meet(X10,join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))))),meet(join(meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),meet(meet(join(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),X9),join(X10,join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))))),meet(X11,join(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),meet(meet(join(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),X9),join(X10,join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))))))),join(X8,join(join(meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),X9),meet(X10,join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))))))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(join(meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),X6),meet(X7,join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))))))),join(X1,X5))),
inference(superposition,[],[f12,f1]) ).
fof(f641,plain,
! [X2,X0,X1] : meet(meet(meet(join(X0,X1),join(X2,X0)),X0),X0) = X0,
inference(superposition,[],[f611,f497]) ).
fof(f611,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,meet(X0,X1)),meet(X0,X1)),
inference(superposition,[],[f595,f51]) ).
fof(f595,plain,
! [X3,X0] : meet(meet(join(X0,X3),X0),X0) = X0,
inference(superposition,[],[f497,f526]) ).
fof(f526,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(superposition,[],[f517,f282]) ).
fof(f282,plain,
! [X2,X3,X0,X1] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(X1,join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = X1,
inference(backward_demodulation,[],[f143,f281]) ).
fof(f517,plain,
! [X3,X0] : join(meet(X0,X0),meet(X3,join(X0,X0))) = X0,
inference(backward_demodulation,[],[f409,f497]) ).
fof(f1327,plain,
! [X0,X1] : join(meet(X0,X0),meet(X0,join(X1,X0))) = X0,
inference(forward_demodulation,[],[f1326,f801]) ).
fof(f801,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f767,f744]) ).
fof(f767,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = join(meet(X0,X1),meet(X0,meet(X0,X1))),
inference(backward_demodulation,[],[f654,f744]) ).
fof(f654,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = join(join(meet(X0,X1),meet(X0,meet(X0,X1))),meet(X0,meet(X0,X1))),
inference(superposition,[],[f586,f611]) ).
fof(f586,plain,
! [X3,X0] : join(join(meet(X0,X3),X0),X0) = X0,
inference(superposition,[],[f526,f497]) ).
fof(f1326,plain,
! [X0,X1] : join(meet(X0,X0),meet(X0,meet(X0,join(X1,X0)))) = X0,
inference(forward_demodulation,[],[f1321,f861]) ).
fof(f861,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(superposition,[],[f497,f741]) ).
fof(f741,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f740,f701]) ).
fof(f701,plain,
! [X0] : join(meet(X0,join(X0,X0)),X0) = X0,
inference(forward_demodulation,[],[f667,f656]) ).
fof(f667,plain,
! [X0] : join(meet(X0,join(X0,X0)),meet(X0,X0)) = X0,
inference(backward_demodulation,[],[f576,f656]) ).
fof(f576,plain,
! [X0] : meet(X0,X0) = join(meet(meet(X0,X0),join(X0,X0)),meet(meet(X0,X0),X0)),
inference(superposition,[],[f51,f568]) ).
fof(f568,plain,
! [X0] : join(meet(X0,X0),join(X0,X0)) = X0,
inference(superposition,[],[f517,f497]) ).
fof(f740,plain,
! [X0] : join(X0,X0) = join(meet(X0,join(X0,X0)),X0),
inference(backward_demodulation,[],[f670,f733]) ).
fof(f733,plain,
! [X0] : meet(join(X0,X0),X0) = X0,
inference(superposition,[],[f497,f656]) ).
fof(f670,plain,
! [X0] : join(X0,X0) = join(meet(X0,join(X0,X0)),meet(join(X0,X0),X0)),
inference(backward_demodulation,[],[f579,f656]) ).
fof(f579,plain,
! [X0] : join(X0,X0) = join(meet(meet(X0,X0),join(X0,X0)),meet(join(X0,X0),X0)),
inference(superposition,[],[f186,f568]) ).
fof(f1321,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = join(meet(X0,meet(meet(X0,join(X1,X0)),X0)),meet(meet(meet(X0,join(X1,X0)),X0),meet(X0,join(X1,X0)))),
inference(backward_demodulation,[],[f1002,f1320]) ).
fof(f1320,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f1319,f586]) ).
fof(f1319,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = join(join(meet(X0,join(X1,X0)),X0),X0),
inference(forward_demodulation,[],[f1318,f918]) ).
fof(f1318,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,[],[f1285,f801]) ).
fof(f1285,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),X0),
inference(superposition,[],[f877,f861]) ).
fof(f877,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = join(meet(meet(X0,X1),meet(X1,join(X0,X1))),X1),
inference(backward_demodulation,[],[f382,f861]) ).
fof(f382,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = join(meet(meet(X0,X1),meet(X1,join(X0,X1))),meet(meet(X1,join(X0,X1)),X1)),
inference(superposition,[],[f186,f186]) ).
fof(f1002,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),join(meet(X0,join(X1,X0)),X0)) = join(meet(X0,meet(meet(X0,join(X1,X0)),join(meet(X0,join(X1,X0)),X0))),meet(meet(meet(X0,join(X1,X0)),join(meet(X0,join(X1,X0)),X0)),meet(X0,join(X1,X0)))),
inference(superposition,[],[f381,f861]) ).
fof(f381,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,join(X0,X1)),X0)),
inference(superposition,[],[f186,f51]) ).
fof(f1329,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(X0,join(X1,X0))),
inference(backward_demodulation,[],[f1006,f1328]) ).
fof(f1006,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(join(X0,meet(X0,join(X1,X0))),meet(X0,join(X1,X0))),
inference(superposition,[],[f586,f861]) ).
fof(f918,plain,
! [X0,X1] : join(meet(X0,X1),X0) = meet(X0,join(meet(X0,X1),X0)),
inference(superposition,[],[f768,f586]) ).
fof(f768,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f765,f744]) ).
fof(f765,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(X0,meet(join(X0,X1),X0)),
inference(backward_demodulation,[],[f627,f744]) ).
fof(f627,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(join(X0,meet(join(X0,X1),X0)),meet(join(X0,X1),X0)),
inference(superposition,[],[f586,f595]) ).
fof(f1816,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(superposition,[],[f1528,f741]) ).
fof(f1528,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(superposition,[],[f51,f1427]) ).
fof(f1427,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f1350,f768]) ).
fof(f744,plain,
! [X3,X0] : join(X0,meet(X3,X0)) = X0,
inference(backward_demodulation,[],[f657,f741]) ).
fof(f657,plain,
! [X3,X0] : join(X0,meet(X3,join(X0,X0))) = X0,
inference(backward_demodulation,[],[f517,f656]) ).
fof(f551,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X1,join(X2,meet(X0,X1))),meet(X0,X1)),
inference(superposition,[],[f497,f186]) ).
fof(f3036,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f1894,f2504]) ).
fof(f5438,plain,
meet(b,a) != meet(a,b),
inference(trivial_inequality_removal,[],[f5362]) ).
fof(f5362,plain,
( join(a,b) != join(a,b)
| meet(b,a) != meet(a,b) ),
inference(superposition,[],[f1673,f5162]) ).
fof(f5162,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(superposition,[],[f4953,f4890]) ).
fof(f4890,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f744,f4716]) ).
fof(f4716,plain,
! [X0,X1] : join(X1,X0) = meet(join(X1,X0),join(X0,X1)),
inference(forward_demodulation,[],[f4605,f1939]) ).
fof(f4605,plain,
! [X0,X1] : meet(join(X1,X0),join(X0,X1)) = join(join(X1,X0),meet(join(X1,X0),join(X0,X1))),
inference(superposition,[],[f585,f2112]) ).
fof(f2112,plain,
! [X2,X0,X1] : meet(X0,meet(join(X2,X0),join(X0,X1))) = X0,
inference(superposition,[],[f1927,f1907]) ).
fof(f1907,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f744,f1816]) ).
fof(f1927,plain,
! [X2,X0,X1] : meet(X1,meet(join(X0,X1),join(X2,X1))) = X1,
inference(superposition,[],[f1894,f1580]) ).
fof(f1580,plain,
! [X2,X0,X1] : meet(meet(join(X1,X0),join(X2,X0)),X0) = X0,
inference(superposition,[],[f497,f1465]) ).
fof(f1465,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f934,f1330]) ).
fof(f934,plain,
! [X3,X0] : join(meet(X3,X0),X0) = X0,
inference(backward_demodulation,[],[f749,f916]) ).
fof(f916,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(superposition,[],[f768,f186]) ).
fof(f749,plain,
! [X3,X0] : join(meet(X0,meet(X3,X0)),X0) = X0,
inference(backward_demodulation,[],[f695,f741]) ).
fof(f695,plain,
! [X3,X0] : join(meet(X0,meet(X3,join(X0,X0))),X0) = X0,
inference(forward_demodulation,[],[f658,f656]) ).
fof(f658,plain,
! [X3,X0] : join(meet(X0,meet(X3,join(X0,X0))),meet(X0,X0)) = X0,
inference(backward_demodulation,[],[f519,f656]) ).
fof(f519,plain,
! [X3,X0] : meet(X0,X0) = join(meet(meet(X0,X0),meet(X3,join(X0,X0))),meet(meet(X0,X0),X0)),
inference(forward_demodulation,[],[f499,f497]) ).
fof(f499,plain,
! [X2,X3,X0,X1] : meet(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)) = join(meet(meet(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)),meet(X3,join(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)))),meet(meet(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)),X0)),
inference(superposition,[],[f51,f409]) ).
fof(f585,plain,
! [X2,X3,X0,X1] : meet(join(X0,X1),join(X2,X0)) = join(join(X0,meet(X3,meet(join(X0,X1),join(X2,X0)))),meet(join(X0,X1),join(X2,X0))),
inference(superposition,[],[f526,f497]) ).
fof(f4953,plain,
! [X0,X1] : join(X1,X0) = join(join(X0,X1),join(X1,X0)),
inference(forward_demodulation,[],[f4883,f1907]) ).
fof(f4883,plain,
! [X0,X1] : join(X1,X0) = join(join(join(X0,X1),X0),join(X1,X0)),
inference(superposition,[],[f1640,f4716]) ).
fof(f1640,plain,
! [X2,X0,X1] : join(X1,X0) = join(join(meet(X2,join(X1,X0)),X0),join(X1,X0)),
inference(superposition,[],[f1121,f1330]) ).
fof(f1121,plain,
! [X2,X0,X1] : join(join(meet(X1,X0),meet(X2,X0)),X0) = X0,
inference(superposition,[],[f526,f916]) ).
fof(f1673,plain,
( join(b,a) != join(a,b)
| meet(b,a) != meet(a,b) ),
inference(trivial_inequality_removal,[],[f1672]) ).
fof(f1672,plain,
( b != b
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b) ),
inference(superposition,[],[f1592,f1121]) ).
fof(f1592,plain,
( b != join(join(meet(a,b),meet(c,b)),b)
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b) ),
inference(trivial_inequality_removal,[],[f1591]) ).
fof(f1591,plain,
( b != b
| b != join(join(meet(a,b),meet(c,b)),b)
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b) ),
inference(backward_demodulation,[],[f762,f1580]) ).
fof(f762,plain,
( b != join(join(meet(a,b),meet(c,b)),b)
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b)
| b != meet(meet(join(a,b),join(c,b)),b) ),
inference(trivial_inequality_removal,[],[f761]) ).
fof(f761,plain,
( a != a
| b != join(join(meet(a,b),meet(c,b)),b)
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b)
| b != meet(meet(join(a,b),join(c,b)),b) ),
inference(backward_demodulation,[],[f694,f741]) ).
fof(f694,plain,
( b != join(join(meet(a,b),meet(c,b)),b)
| a != join(a,a)
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b)
| b != meet(meet(join(a,b),join(c,b)),b) ),
inference(trivial_inequality_removal,[],[f693]) ).
fof(f693,plain,
( a != a
| b != join(join(meet(a,b),meet(c,b)),b)
| a != join(a,a)
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b)
| b != meet(meet(join(a,b),join(c,b)),b) ),
inference(backward_demodulation,[],[f2,f656]) ).
fof(f2,axiom,
( b != join(join(meet(a,b),meet(c,b)),b)
| a != join(a,a)
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b)
| b != meet(meet(join(a,b),join(c,b)),b)
| a != meet(a,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wal_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT030-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n017.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Apr 29 20:59:48 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % (7932)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (7938)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.33 % (7935)WARNING: value z3 for option sas not known
% 0.11/0.33 % (7939)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.33 % (7936)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.33 % (7934)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.33 % (7933)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.33 % (7935)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.33 % (7937)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)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.35 TRYING [3]
% 0.16/0.35 TRYING [1]
% 0.16/0.35 TRYING [2]
% 0.16/0.37 TRYING [3]
% 2.81/0.73 % (7938)First to succeed.
% 2.81/0.74 % (7938)Refutation found. Thanks to Tanya!
% 2.81/0.74 % SZS status Unsatisfiable for theBenchmark
% 2.81/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.81/0.74 % (7938)------------------------------
% 2.81/0.74 % (7938)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.81/0.74 % (7938)Termination reason: Refutation
% 2.81/0.74
% 2.81/0.74 % (7938)Memory used [KB]: 3937
% 2.81/0.74 % (7938)Time elapsed: 0.409 s
% 2.81/0.74 % (7938)Instructions burned: 982 (million)
% 2.81/0.74 % (7938)------------------------------
% 2.81/0.74 % (7938)------------------------------
% 2.81/0.74 % (7932)Success in time 0.408 s
%------------------------------------------------------------------------------