TSTP Solution File: LAT087-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT087-1 : 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 : n021.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 13:20:41 EDT 2024
% Result : Unsatisfiable 3.34s 0.83s
% Output : Refutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 2
% Syntax : Number of formulae : 69 ( 69 unt; 0 def)
% Number of atoms : 69 ( 68 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 18 ( 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 : 201 ( 201 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10414,plain,
$false,
inference(trivial_inequality_removal,[],[f10413]) ).
fof(f10413,plain,
a != a,
inference(superposition,[],[f2,f10124]) ).
fof(f10124,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f9976,f4882]) ).
fof(f4882,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f4881,f2037]) ).
fof(f2037,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[],[f1978,f1537]) ).
fof(f1537,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f1186,f329]) ).
fof(f329,plain,
! [X1,X6] : join(meet(X6,join(X1,X1)),meet(X1,join(X6,join(X1,X1)))) = X1,
inference(forward_demodulation,[],[f301,f241]) ).
fof(f241,plain,
! [X3,X0,X1,X6,X4,X5] : 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)))) = X1,
inference(forward_demodulation,[],[f240,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(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(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(f240,plain,
! [X3,X0,X1,X8,X6,X4,X5] : 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(meet(X1,X8),meet(X1,join(X1,X8))),
inference(forward_demodulation,[],[f196,f1]) ).
fof(f196,plain,
! [X3,X0,X1,X8,X6,X4,X5] : 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(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(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))))),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))),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))))))),X8),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(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))))),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))),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))))))),X8))),
inference(superposition,[],[f64,f1]) ).
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(f301,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(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(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)))))))),
inference(superposition,[],[f244,f1]) ).
fof(f244,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(forward_demodulation,[],[f243,f241]) ).
fof(f243,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,[],[f242,f60]) ).
fof(f242,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,[],[f197,f13]) ).
fof(f197,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(f1186,plain,
! [X1,X4] : join(meet(X1,X1),meet(X4,join(X1,X1))) = X1,
inference(superposition,[],[f814,f1038]) ).
fof(f1038,plain,
! [X2,X3,X0,X1] : meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0) = X0,
inference(superposition,[],[f916,f814]) ).
fof(f916,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(superposition,[],[f814,f1]) ).
fof(f814,plain,
! [X2,X3,X1,X4,X5] : 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)))) = X1,
inference(superposition,[],[f241,f36]) ).
fof(f1978,plain,
! [X0,X1] : join(X0,meet(X1,join(X0,X0))) = X0,
inference(superposition,[],[f1186,f1895]) ).
fof(f1895,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f1894,f1537]) ).
fof(f1894,plain,
! [X0] : meet(X0,X0) = join(X0,X0),
inference(forward_demodulation,[],[f1836,f1687]) ).
fof(f1687,plain,
! [X0] : meet(meet(X0,X0),X0) = X0,
inference(superposition,[],[f1326,f1537]) ).
fof(f1326,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(superposition,[],[f1038,f1296]) ).
fof(f1296,plain,
! [X1] : join(meet(X1,X1),join(X1,X1)) = X1,
inference(forward_demodulation,[],[f1222,f1038]) ).
fof(f1222,plain,
! [X2,X3,X1,X4] : join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1))) = X1,
inference(superposition,[],[f814,f1038]) ).
fof(f1836,plain,
! [X0] : meet(X0,X0) = join(meet(meet(X0,X0),X0),meet(meet(X0,X0),X0)),
inference(superposition,[],[f60,f1663]) ).
fof(f1663,plain,
! [X0] : join(meet(X0,X0),X0) = X0,
inference(superposition,[],[f1296,f1537]) ).
fof(f4881,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(X0,meet(meet(join(X0,X1),X0),X0)),
inference(forward_demodulation,[],[f4777,f2768]) ).
fof(f2768,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(superposition,[],[f1536,f2037]) ).
fof(f1536,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
inference(superposition,[],[f1186,f244]) ).
fof(f4777,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(X0,meet(meet(join(X0,X1),X0),join(meet(join(X0,X1),X0),X0))),
inference(superposition,[],[f60,f4518]) ).
fof(f4518,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(superposition,[],[f1686,f1663]) ).
fof(f1686,plain,
! [X2,X0,X1] : meet(meet(join(X1,join(X0,X2)),X0),X0) = X0,
inference(superposition,[],[f1038,f1537]) ).
fof(f9976,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = meet(join(X0,meet(X0,X1)),X0),
inference(superposition,[],[f9868,f5549]) ).
fof(f5549,plain,
! [X0,X1] : join(meet(X0,X1),join(X0,meet(X0,X1))) = X0,
inference(forward_demodulation,[],[f5486,f5013]) ).
fof(f5013,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = meet(X0,join(X0,meet(X0,X1))),
inference(superposition,[],[f4882,f2746]) ).
fof(f2746,plain,
! [X1,X4] : join(join(X1,meet(X1,X4)),X1) = X1,
inference(superposition,[],[f1536,f1038]) ).
fof(f5486,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,meet(X0,X1)))) = X0,
inference(superposition,[],[f60,f5093]) ).
fof(f5093,plain,
! [X2,X1] : meet(X1,X2) = meet(X1,meet(X1,X2)),
inference(forward_demodulation,[],[f4993,f916]) ).
fof(f4993,plain,
! [X2,X0,X1] : meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2) = meet(X1,meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2)),
inference(superposition,[],[f4882,f1]) ).
fof(f9868,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(forward_demodulation,[],[f9867,f2768]) ).
fof(f9867,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(meet(X0,join(X1,X0)),X0),X0),
inference(forward_demodulation,[],[f9866,f1895]) ).
fof(f9866,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(meet(X0,join(X1,X0)),meet(X0,X0)),X0),
inference(forward_demodulation,[],[f9865,f1326]) ).
fof(f9865,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(meet(X0,join(X1,X0)),meet(X0,X0)),meet(meet(X0,join(X1,X0)),X0)),
inference(forward_demodulation,[],[f9864,f1470]) ).
fof(f1470,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(X1,meet(X1,join(X0,X1))),
inference(forward_demodulation,[],[f1398,f1326]) ).
fof(f1398,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(meet(meet(X1,join(X0,X1)),X1),meet(X1,join(X0,X1))),
inference(superposition,[],[f1326,f916]) ).
fof(f9864,plain,
! [X0,X1] : meet(X0,meet(X0,join(X1,X0))) = join(meet(meet(X0,meet(X0,join(X1,X0))),meet(X0,X0)),meet(meet(X0,meet(X0,join(X1,X0))),X0)),
inference(forward_demodulation,[],[f9721,f6027]) ).
fof(f6027,plain,
! [X0,X1] : meet(X0,join(join(X1,X0),X0)) = X0,
inference(forward_demodulation,[],[f6026,f1537]) ).
fof(f6026,plain,
! [X0,X1] : join(X0,X0) = meet(X0,join(join(X1,X0),X0)),
inference(forward_demodulation,[],[f5910,f1326]) ).
fof(f5910,plain,
! [X0,X1] : meet(X0,join(join(X1,X0),X0)) = join(meet(meet(X0,join(join(X1,X0),X0)),X0),meet(meet(X0,join(join(X1,X0),X0)),X0)),
inference(superposition,[],[f60,f3657]) ).
fof(f3657,plain,
! [X0,X1] : join(meet(X1,join(join(X0,X1),X1)),X1) = X1,
inference(forward_demodulation,[],[f3656,f1470]) ).
fof(f3656,plain,
! [X0,X1] : join(meet(X1,meet(X1,join(join(X0,X1),X1))),X1) = X1,
inference(forward_demodulation,[],[f3655,f3545]) ).
fof(f3545,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(superposition,[],[f1685,f1895]) ).
fof(f1685,plain,
! [X2,X0,X1] : meet(meet(join(X1,X0),join(X2,X0)),X0) = X0,
inference(superposition,[],[f1038,f1537]) ).
fof(f3655,plain,
! [X0,X1] : meet(join(X0,X1),X1) = join(meet(meet(join(X0,X1),X1),meet(X1,join(join(X0,X1),X1))),X1),
inference(forward_demodulation,[],[f3546,f1537]) ).
fof(f3546,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,X1)) = join(meet(meet(join(X0,X1),join(X1,X1)),meet(X1,join(join(X0,X1),join(X1,X1)))),X1),
inference(superposition,[],[f356,f1685]) ).
fof(f356,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,f329]) ).
fof(f9721,plain,
! [X0,X1] : meet(meet(X0,join(join(X1,X0),X0)),meet(X0,join(X1,X0))) = join(meet(meet(meet(X0,join(join(X1,X0),X0)),meet(X0,join(X1,X0))),meet(meet(X0,join(join(X1,X0),X0)),X0)),meet(meet(meet(X0,join(join(X1,X0),X0)),meet(X0,join(X1,X0))),meet(X0,join(join(X1,X0),X0)))),
inference(superposition,[],[f114,f9213]) ).
fof(f9213,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(join(X0,X1),X1)),
inference(superposition,[],[f5549,f3545]) ).
fof(f114,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(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(f2,axiom,
a != join(a,meet(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT087-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 21:27:10 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.22/0.37 % (27622)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39 % (27623)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (27625)WARNING: value z3 for option sas not known
% 0.22/0.40 % (27624)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.40 % (27626)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.40 % (27627)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)
% 0.22/0.40 % (27625)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)
% 0.22/0.40 % (27629)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)
% 0.22/0.40 % (27628)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)
% 0.22/0.40 TRYING [1]
% 0.22/0.41 TRYING [2]
% 0.22/0.41 TRYING [1]
% 0.22/0.41 TRYING [2]
% 0.22/0.42 TRYING [3]
% 0.22/0.44 TRYING [3]
% 3.34/0.83 % (27629)First to succeed.
% 3.34/0.83 % (27629)Refutation found. Thanks to Tanya!
% 3.34/0.83 % SZS status Unsatisfiable for theBenchmark
% 3.34/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 3.34/0.83 % (27629)------------------------------
% 3.34/0.83 % (27629)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.34/0.83 % (27629)Termination reason: Refutation
% 3.34/0.83
% 3.34/0.83 % (27629)Memory used [KB]: 6536
% 3.34/0.83 % (27629)Time elapsed: 0.436 s
% 3.34/0.83 % (27629)Instructions burned: 906 (million)
% 3.34/0.83 % (27629)------------------------------
% 3.34/0.83 % (27629)------------------------------
% 3.34/0.83 % (27622)Success in time 0.464 s
%------------------------------------------------------------------------------