TSTP Solution File: LAT021-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT021-1 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:25:40 EDT 2024
% Result : Unsatisfiable 172.51s 25.04s
% Output : Refutation 172.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 10
% Syntax : Number of formulae : 161 ( 161 unt; 0 def)
% Number of atoms : 161 ( 160 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 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 : 446 ( 446 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f209496,plain,
$false,
inference(trivial_inequality_removal,[],[f209190]) ).
fof(f209190,plain,
meet(a,join(b,c)) != meet(a,join(b,c)),
inference(superposition,[],[f10,f125053]) ).
fof(f125053,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(backward_demodulation,[],[f117987,f125024]) ).
fof(f125024,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X2,meet(X0,join(X0,X1)))),
inference(backward_demodulation,[],[f52815,f125007]) ).
fof(f125007,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X2,X0)),
inference(forward_demodulation,[],[f125005,f122862]) ).
fof(f122862,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(X0,join(X2,meet(X1,X0))),
inference(superposition,[],[f75653,f3]) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f75653,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = meet(X1,join(X0,meet(X1,X2))),
inference(backward_demodulation,[],[f41084,f75652]) ).
fof(f75652,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(X1,X2))),
inference(forward_demodulation,[],[f75651,f36209]) ).
fof(f36209,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(X0,meet(X1,join(X0,X2))),
inference(forward_demodulation,[],[f36208,f10168]) ).
fof(f10168,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X2),meet(join(X1,X2),X0)),
inference(superposition,[],[f7046,f74]) ).
fof(f74,plain,
! [X2,X0,X1] : meet(X2,join(X1,X0)) = join(meet(X2,join(X1,X0)),meet(X2,X0)),
inference(superposition,[],[f7,f4]) ).
fof(f4,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X1,X2)),meet(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quasi_lattice1) ).
fof(f7046,plain,
! [X2,X0,X1] : join(meet(X0,X1),X2) = join(X2,meet(X1,X0)),
inference(forward_demodulation,[],[f6936,f6009]) ).
fof(f6009,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f7,f5922]) ).
fof(f5922,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(X0,meet(X0,X1))),
inference(forward_demodulation,[],[f5921,f4446]) ).
fof(f4446,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = meet(X0,join(X0,meet(X0,X1))),
inference(superposition,[],[f479,f3]) ).
fof(f479,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = meet(join(X0,meet(X0,X1)),X0),
inference(superposition,[],[f8,f2]) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f8,axiom,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,meet(X1,X2)),join(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quasi_lattice2) ).
fof(f5921,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,join(X0,meet(X0,X1)))),
inference(forward_demodulation,[],[f5861,f3]) ).
fof(f5861,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(join(X0,meet(X0,X1)),X0)),
inference(superposition,[],[f502,f167]) ).
fof(f167,plain,
! [X2,X0,X1] : meet(meet(X1,X2),X0) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f16,f3]) ).
fof(f16,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f3]) ).
fof(f5,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f502,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),join(X0,meet(X0,X1))),
inference(forward_demodulation,[],[f473,f4]) ).
fof(f473,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),join(meet(X0,X1),X0)),
inference(superposition,[],[f8,f2]) ).
fof(f6936,plain,
! [X2,X0,X1] : join(meet(X0,X1),X2) = join(X2,join(meet(X1,X0),meet(X0,X1))),
inference(superposition,[],[f2412,f6009]) ).
fof(f2412,plain,
! [X2,X0,X1] : join(join(X1,X2),X0) = join(X0,join(X2,X1)),
inference(superposition,[],[f1157,f4]) ).
fof(f1157,plain,
! [X2,X0,X1] : join(X1,join(X0,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f429,f54]) ).
fof(f54,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f4]) ).
fof(f6,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f429,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[],[f50,f6]) ).
fof(f50,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(superposition,[],[f6,f4]) ).
fof(f36208,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(X0,join(meet(X1,X2),meet(join(X0,X2),X1))),
inference(forward_demodulation,[],[f35883,f4]) ).
fof(f35883,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(X0,join(meet(join(X0,X2),X1),meet(X1,X2))),
inference(superposition,[],[f1382,f1160]) ).
fof(f1160,plain,
! [X2,X0,X1] : join(join(X1,X2),X0) = join(X1,join(X0,X2)),
inference(superposition,[],[f429,f4]) ).
fof(f1382,plain,
! [X2,X0,X1] : join(X2,meet(X1,X0)) = join(join(X2,meet(X1,X0)),meet(join(X2,X0),X1)),
inference(superposition,[],[f9,f3]) ).
fof(f9,axiom,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(join(X0,meet(X1,X2)),meet(join(X0,X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bowden) ).
fof(f75651,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X1,meet(X0,join(X1,X2)))),meet(X0,join(X1,X2))),
inference(forward_demodulation,[],[f75650,f4716]) ).
fof(f4716,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = meet(X2,join(X1,X0)),
inference(forward_demodulation,[],[f4633,f4371]) ).
fof(f4371,plain,
! [X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X1,X0)),
inference(forward_demodulation,[],[f4370,f62]) ).
fof(f62,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f49,f4]) ).
fof(f49,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f6,f2]) ).
fof(f4370,plain,
! [X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X0,join(X1,X0))),
inference(forward_demodulation,[],[f4320,f6]) ).
fof(f4320,plain,
! [X0,X1] : join(X0,X1) = meet(join(X0,X1),join(join(X0,X1),X0)),
inference(superposition,[],[f8,f95]) ).
fof(f95,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),meet(X0,join(X0,X1))),
inference(forward_demodulation,[],[f79,f3]) ).
fof(f79,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),meet(join(X0,X1),X0)),
inference(superposition,[],[f7,f1]) ).
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f4633,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = meet(X2,meet(join(X1,X0),join(X0,X1))),
inference(superposition,[],[f711,f4371]) ).
fof(f711,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(X1,meet(X2,X0)),
inference(superposition,[],[f121,f16]) ).
fof(f121,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f12,f5]) ).
fof(f12,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X1,X0),X2),
inference(superposition,[],[f5,f3]) ).
fof(f75650,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(meet(X0,join(X1,X2)),X1)),meet(X0,join(X1,X2))),
inference(forward_demodulation,[],[f75115,f3]) ).
fof(f75115,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(join(meet(X0,join(X1,X2)),X1),X0),meet(X0,join(X1,X2))),
inference(superposition,[],[f1440,f84]) ).
fof(f84,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X1,X2)),meet(X1,X0)),
inference(superposition,[],[f7,f3]) ).
fof(f1440,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(meet(join(X0,X1),X2),join(X0,meet(X1,X2))),
inference(superposition,[],[f9,f4]) ).
fof(f41084,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X1,X2))) = join(meet(X1,join(X0,meet(X1,X2))),meet(X1,join(X0,X2))),
inference(forward_demodulation,[],[f41083,f18065]) ).
fof(f18065,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X2),join(X0,meet(X1,X2))),
inference(superposition,[],[f460,f3]) ).
fof(f460,plain,
! [X2,X0,X1] : join(X2,meet(X1,X0)) = meet(join(X2,meet(X1,X0)),join(X2,X0)),
inference(superposition,[],[f8,f3]) ).
fof(f41083,plain,
! [X2,X0,X1] : meet(X1,meet(join(X0,X2),join(X0,meet(X1,X2)))) = join(meet(X1,meet(join(X0,X2),join(X0,meet(X1,X2)))),meet(X1,join(X0,X2))),
inference(forward_demodulation,[],[f40257,f5]) ).
fof(f40257,plain,
! [X2,X0,X1] : meet(meet(X1,join(X0,X2)),join(X0,meet(X1,X2))) = join(meet(meet(X1,join(X0,X2)),join(X0,meet(X1,X2))),meet(X1,join(X0,X2))),
inference(superposition,[],[f4153,f36209]) ).
fof(f4153,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(X0,join(X1,X0)),X0),
inference(superposition,[],[f83,f4]) ).
fof(f83,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = join(meet(X0,join(X0,X1)),X0),
inference(superposition,[],[f7,f1]) ).
fof(f125005,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,X0))) = join(meet(X0,X1),meet(X2,X0)),
inference(backward_demodulation,[],[f105369,f124993]) ).
fof(f124993,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X3,X2))) = join(meet(X0,X1),meet(X0,meet(join(X1,X2),X3))),
inference(backward_demodulation,[],[f123968,f124980]) ).
fof(f124980,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X3,X2))) = meet(X0,meet(join(X1,X2),join(meet(X0,X1),X3))),
inference(forward_demodulation,[],[f124979,f124769]) ).
fof(f124769,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = meet(join(X1,X2),join(X0,X1)),
inference(backward_demodulation,[],[f50197,f124221]) ).
fof(f124221,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = meet(join(X1,X2),meet(join(X0,X1),join(X2,join(X1,X0)))),
inference(backward_demodulation,[],[f41195,f124215]) ).
fof(f124215,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X1,X0),join(X0,X2)),
inference(forward_demodulation,[],[f122978,f7345]) ).
fof(f7345,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X1,X0),join(X0,meet(X1,X2))),
inference(superposition,[],[f4718,f8]) ).
fof(f4718,plain,
! [X2,X0,X1] : meet(join(X0,X1),X2) = meet(X2,join(X1,X0)),
inference(forward_demodulation,[],[f4636,f4371]) ).
fof(f4636,plain,
! [X2,X0,X1] : meet(join(X0,X1),X2) = meet(X2,meet(join(X1,X0),join(X0,X1))),
inference(superposition,[],[f2060,f4371]) ).
fof(f2060,plain,
! [X2,X0,X1] : meet(meet(X1,X2),X0) = meet(X0,meet(X2,X1)),
inference(superposition,[],[f711,f3]) ).
fof(f122978,plain,
! [X2,X0,X1] : meet(join(X1,X0),join(X0,meet(X1,X2))) = meet(join(X1,X0),join(X0,X2)),
inference(superposition,[],[f75653,f52376]) ).
fof(f52376,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(X0,meet(join(X1,X0),X2)),
inference(forward_demodulation,[],[f52375,f10259]) ).
fof(f10259,plain,
! [X2,X0,X1] : meet(join(X0,X1),X2) = join(meet(X0,X2),meet(join(X0,X1),X2)),
inference(superposition,[],[f7046,f80]) ).
fof(f80,plain,
! [X2,X0,X1] : meet(join(X1,X2),X0) = join(meet(join(X1,X2),X0),meet(X0,X1)),
inference(superposition,[],[f7,f3]) ).
fof(f52375,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(X0,join(meet(X1,X2),meet(join(X1,X0),X2))),
inference(forward_demodulation,[],[f51964,f4]) ).
fof(f51964,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(X0,join(meet(join(X1,X0),X2),meet(X1,X2))),
inference(superposition,[],[f1408,f1160]) ).
fof(f1408,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(join(X0,meet(X1,X2)),meet(join(X1,X0),X2)),
inference(superposition,[],[f9,f4]) ).
fof(f41195,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X1,X2)) = meet(join(X1,X2),meet(join(X0,X1),join(X2,join(X1,X0)))),
inference(superposition,[],[f40641,f1262]) ).
fof(f1262,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(join(X1,X0),join(X0,X2)),
inference(superposition,[],[f431,f540]) ).
fof(f540,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(superposition,[],[f54,f49]) ).
fof(f431,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X1,join(X0,X2)),
inference(superposition,[],[f50,f4]) ).
fof(f40641,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,join(X0,X1))),
inference(backward_demodulation,[],[f5922,f40165]) ).
fof(f40165,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = join(X0,meet(X0,X1)),
inference(superposition,[],[f36209,f4184]) ).
fof(f4184,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = join(X0,meet(X0,join(X0,X1))),
inference(superposition,[],[f83,f4]) ).
fof(f50197,plain,
! [X2,X0,X1] : meet(join(X1,X2),join(X0,X1)) = meet(join(X1,X2),meet(join(X0,X1),join(X2,join(X1,X0)))),
inference(superposition,[],[f40669,f1262]) ).
fof(f40669,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X0,X1))),
inference(backward_demodulation,[],[f9908,f40165]) ).
fof(f9908,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,join(X0,meet(X0,X1))),
inference(superposition,[],[f5967,f7039]) ).
fof(f7039,plain,
! [X2,X0,X1] : join(X2,meet(X0,X1)) = join(X2,meet(X1,X0)),
inference(forward_demodulation,[],[f6930,f6009]) ).
fof(f6930,plain,
! [X2,X0,X1] : join(X2,meet(X0,X1)) = join(X2,join(meet(X1,X0),meet(X0,X1))),
inference(superposition,[],[f1157,f6009]) ).
fof(f5967,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,join(X0,meet(X1,X0))),
inference(superposition,[],[f5922,f3]) ).
fof(f124979,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),join(meet(X0,X1),X3))) = meet(X0,meet(join(X1,X2),join(X3,X1))),
inference(forward_demodulation,[],[f124978,f5]) ).
fof(f124978,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),join(meet(X0,X1),X3))) = meet(meet(X0,join(X1,X2)),join(X3,X1)),
inference(forward_demodulation,[],[f124977,f122862]) ).
fof(f124977,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),join(meet(X0,X1),X3))) = meet(meet(X0,join(X1,X2)),join(X3,meet(X1,meet(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f124976,f45]) ).
fof(f45,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(X0,meet(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f41,f40]) ).
fof(f40,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,meet(X1,X2))),
inference(superposition,[],[f24,f5]) ).
fof(f24,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(superposition,[],[f11,f3]) ).
fof(f11,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f5,f1]) ).
fof(f41,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(X0,meet(X1,meet(X2,meet(X0,X1)))),
inference(superposition,[],[f24,f5]) ).
fof(f124976,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),join(meet(X0,X1),X3))) = meet(meet(X0,join(X1,X2)),join(X3,meet(X0,meet(X1,meet(X0,join(X1,X2)))))),
inference(forward_demodulation,[],[f124927,f10069]) ).
fof(f10069,plain,
! [X2,X3,X0,X1] : join(X3,meet(X1,meet(X2,X0))) = join(X3,meet(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f9799,f5]) ).
fof(f9799,plain,
! [X2,X3,X0,X1] : join(X3,meet(X2,meet(X0,X1))) = join(X3,meet(meet(X1,X2),X0)),
inference(superposition,[],[f7039,f16]) ).
fof(f124927,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),join(meet(X0,X1),X3))) = meet(meet(X0,join(X1,X2)),join(X3,meet(meet(X0,join(X1,X2)),meet(X0,X1)))),
inference(backward_demodulation,[],[f92836,f124850]) ).
fof(f124850,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = meet(join(X2,X1),join(X0,X1)),
inference(backward_demodulation,[],[f43382,f124849]) ).
fof(f124849,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = meet(join(X0,X1),join(X2,meet(X1,join(X1,X0)))),
inference(forward_demodulation,[],[f124235,f124215]) ).
fof(f124235,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = meet(join(X0,X1),meet(join(X1,X2),join(X2,join(X1,X0)))),
inference(backward_demodulation,[],[f44048,f124215]) ).
fof(f44048,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X1,X2)) = meet(join(X0,X1),meet(join(X1,X2),join(X2,join(X1,X0)))),
inference(superposition,[],[f41398,f1262]) ).
fof(f41398,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X0))),
inference(forward_demodulation,[],[f41235,f3]) ).
fof(f41235,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,meet(join(X1,X0),X0)),
inference(superposition,[],[f40641,f16]) ).
fof(f43382,plain,
! [X2,X0,X1] : meet(join(X2,X1),join(X0,X1)) = meet(join(X0,X1),join(X2,meet(X1,join(X1,X0)))),
inference(forward_demodulation,[],[f43189,f40522]) ).
fof(f40522,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,join(X1,X2))) = join(X0,meet(X1,join(X1,X2))),
inference(forward_demodulation,[],[f40521,f4204]) ).
fof(f4204,plain,
! [X2,X0,X1] : join(X2,meet(X0,join(X0,X1))) = join(X0,join(X2,meet(X0,join(X0,X1)))),
inference(superposition,[],[f54,f83]) ).
fof(f40521,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,join(X1,X2))) = join(X1,join(X0,meet(X1,join(X1,X2)))),
inference(forward_demodulation,[],[f40520,f7039]) ).
fof(f40520,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,join(X1,X2))) = join(X1,join(X0,meet(join(X1,X2),X1))),
inference(backward_demodulation,[],[f39745,f40128]) ).
fof(f40128,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = join(X1,meet(join(X1,X2),X0)),
inference(superposition,[],[f36209,f3]) ).
fof(f39745,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,join(X1,X2))) = join(X1,join(X0,meet(join(X0,X1),join(X1,X2)))),
inference(forward_demodulation,[],[f39744,f36209]) ).
fof(f39744,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,join(X1,X2))) = join(X1,join(X0,meet(join(X0,X1),join(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f39743,f6]) ).
fof(f39743,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(join(X0,X1),X2)) = join(X1,join(X0,meet(join(X0,X1),join(join(X0,X1),X2)))),
inference(forward_demodulation,[],[f39742,f4]) ).
fof(f39742,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(join(X0,X1),X2)) = join(X1,join(meet(join(X0,X1),join(join(X0,X1),X2)),X0)),
inference(forward_demodulation,[],[f39379,f2]) ).
fof(f39379,plain,
! [X2,X0,X1] : join(X1,join(meet(join(X0,X1),join(join(X0,X1),X2)),X0)) = join(meet(join(X0,X1),join(join(X0,X1),X2)),meet(join(X0,X1),join(join(X0,X1),X2))),
inference(superposition,[],[f15031,f83]) ).
fof(f15031,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(join(X0,join(X1,X2)),X0),
inference(forward_demodulation,[],[f14843,f1869]) ).
fof(f1869,plain,
! [X2,X0,X1] : join(X1,join(X2,X0)) = join(join(X2,join(X0,X1)),join(X1,join(X2,X0))),
inference(forward_demodulation,[],[f1798,f6]) ).
fof(f1798,plain,
! [X2,X0,X1] : join(join(X1,X2),X0) = join(join(X2,join(X0,X1)),join(join(X1,X2),X0)),
inference(superposition,[],[f623,f54]) ).
fof(f623,plain,
! [X0,X1] : join(X0,X1) = join(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f62,f540]) ).
fof(f14843,plain,
! [X2,X0,X1] : join(join(X0,join(X1,X2)),X0) = join(join(X0,join(X1,X2)),join(X2,join(X0,X1))),
inference(superposition,[],[f540,f579]) ).
fof(f579,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X0,join(X0,join(X1,X2))),
inference(forward_demodulation,[],[f533,f6]) ).
fof(f533,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X0,join(join(X0,X1),X2)),
inference(superposition,[],[f54,f49]) ).
fof(f43189,plain,
! [X2,X0,X1] : meet(join(X2,X1),join(X0,X1)) = meet(join(X0,X1),meet(join(X2,X1),join(X2,join(X1,X0)))),
inference(superposition,[],[f41143,f622]) ).
fof(f622,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(join(X1,X0),join(X2,X0)),
inference(superposition,[],[f54,f540]) ).
fof(f41143,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,join(X1,X0))),
inference(superposition,[],[f40641,f4]) ).
fof(f92836,plain,
! [X2,X3,X0,X1] : meet(meet(X0,join(X1,X2)),meet(join(meet(X0,X1),X3),join(meet(X0,join(X1,X2)),X3))) = meet(X0,meet(join(X1,X2),join(meet(X0,X1),X3))),
inference(forward_demodulation,[],[f92364,f16]) ).
fof(f92364,plain,
! [X2,X3,X0,X1] : meet(join(meet(X0,X1),X3),meet(X0,join(X1,X2))) = meet(meet(X0,join(X1,X2)),meet(join(meet(X0,X1),X3),join(meet(X0,join(X1,X2)),X3))),
inference(superposition,[],[f41143,f92]) ).
fof(f92,plain,
! [X2,X3,X0,X1] : join(meet(X0,join(X1,X2)),join(meet(X0,X1),X3)) = join(meet(X0,join(X1,X2)),X3),
inference(superposition,[],[f6,f7]) ).
fof(f123968,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X0,meet(join(X1,X2),X3))) = meet(X0,meet(join(X1,X2),join(meet(X0,X1),X3))),
inference(backward_demodulation,[],[f30793,f123967]) ).
fof(f123967,plain,
! [X2,X3,X0,X1] : meet(X0,meet(X1,join(X3,X2))) = meet(meet(X0,X1),join(X3,meet(X0,meet(X1,X2)))),
inference(forward_demodulation,[],[f122905,f5]) ).
fof(f122905,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X3,X2)) = meet(meet(X0,X1),join(X3,meet(X0,meet(X1,X2)))),
inference(superposition,[],[f75653,f5]) ).
fof(f30793,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X0,meet(join(X1,X2),X3))) = meet(meet(X0,join(X1,X2)),join(meet(X0,X1),meet(X0,meet(join(X1,X2),X3)))),
inference(forward_demodulation,[],[f30541,f5]) ).
fof(f30541,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(meet(X0,join(X1,X2)),X3)) = meet(meet(X0,join(X1,X2)),join(meet(X0,X1),meet(meet(X0,join(X1,X2)),X3))),
inference(superposition,[],[f487,f89]) ).
fof(f89,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,join(X1,X2))),
inference(superposition,[],[f7,f4]) ).
fof(f487,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,meet(X1,X2))),
inference(superposition,[],[f8,f3]) ).
fof(f105369,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,X0)) = join(meet(X0,X1),meet(X0,meet(join(X1,X0),X2))),
inference(forward_demodulation,[],[f104983,f5]) ).
fof(f104983,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,X0)) = join(meet(X0,X1),meet(meet(X0,join(X1,X0)),X2)),
inference(superposition,[],[f40128,f100817]) ).
fof(f100817,plain,
! [X0,X1] : join(meet(X0,X1),X0) = meet(X0,join(X1,X0)),
inference(forward_demodulation,[],[f100383,f15325]) ).
fof(f15325,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(X0,join(X1,X0))),
inference(forward_demodulation,[],[f15177,f3]) ).
fof(f15177,plain,
! [X0,X1] : join(X0,meet(join(X1,X0),X0)) = meet(X0,join(X1,X0)),
inference(superposition,[],[f4153,f7046]) ).
fof(f100383,plain,
! [X0,X1] : join(meet(X0,X1),X0) = join(X0,meet(X0,join(X1,X0))),
inference(superposition,[],[f523,f99967]) ).
fof(f99967,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = meet(X0,join(X1,X0)),
inference(forward_demodulation,[],[f99620,f62]) ).
fof(f99620,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = meet(X0,join(X0,join(X1,X0))),
inference(superposition,[],[f40047,f40165]) ).
fof(f40047,plain,
! [X2,X0,X1] : join(X0,meet(X2,X1)) = join(X0,meet(X2,join(X1,X0))),
inference(superposition,[],[f36209,f4]) ).
fof(f523,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(superposition,[],[f54,f62]) ).
fof(f52815,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,X0)) = join(meet(X0,X1),meet(X2,meet(X0,join(X0,X1)))),
inference(superposition,[],[f36209,f45923]) ).
fof(f45923,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = join(meet(X0,X1),X0),
inference(forward_demodulation,[],[f45672,f7675]) ).
fof(f7675,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X2),meet(X0,join(X1,X2))),
inference(superposition,[],[f74,f4]) ).
fof(f45672,plain,
! [X0,X1] : join(meet(X0,X1),X0) = join(meet(X0,X1),meet(X0,join(X0,X1))),
inference(superposition,[],[f540,f40165]) ).
fof(f117987,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = join(meet(X0,X1),meet(X2,meet(X0,join(X0,X1)))),
inference(superposition,[],[f57429,f40165]) ).
fof(f57429,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = join(X1,meet(X2,join(X0,X1))),
inference(superposition,[],[f52376,f3]) ).
fof(f10,axiom,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : LAT021-1 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 12:14:33 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (13463)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (13466)WARNING: value z3 for option sas not known
% 0.12/0.36 % (13468)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)
% 0.12/0.36 % (13469)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)
% 0.12/0.36 % (13470)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)
% 0.12/0.36 % (13467)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (13465)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (13466)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)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 % (13464)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.37 TRYING [3]
% 0.12/0.37 TRYING [1]
% 0.12/0.37 TRYING [2]
% 0.19/0.38 TRYING [4]
% 0.19/0.38 TRYING [3]
% 0.19/0.43 TRYING [4]
% 0.19/0.45 TRYING [5]
% 1.52/0.57 TRYING [5]
% 2.41/0.68 TRYING [6]
% 6.49/1.28 TRYING [6]
% 7.20/1.39 TRYING [7]
% 7.70/1.46 TRYING [1]
% 7.70/1.46 TRYING [2]
% 7.70/1.46 TRYING [3]
% 7.97/1.48 TRYING [4]
% 8.39/1.56 TRYING [5]
% 10.58/1.88 TRYING [6]
% 16.93/2.85 TRYING [7]
% 20.38/3.28 TRYING [7]
% 21.18/3.41 TRYING [8]
% 35.72/5.48 TRYING [8]
% 57.25/8.61 TRYING [9]
% 67.19/9.99 TRYING [8]
% 79.11/11.71 TRYING [9]
% 110.32/16.15 TRYING [10]
% 172.18/25.00 % (13469)First to succeed.
% 172.18/25.01 % (13469)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13463"
% 172.51/25.04 % (13469)Refutation found. Thanks to Tanya!
% 172.51/25.04 % SZS status Unsatisfiable for theBenchmark
% 172.51/25.04 % SZS output start Proof for theBenchmark
% See solution above
% 172.51/25.04 % (13469)------------------------------
% 172.51/25.04 % (13469)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 172.51/25.04 % (13469)Termination reason: Refutation
% 172.51/25.04
% 172.51/25.04 % (13469)Memory used [KB]: 207952
% 172.51/25.04 % (13469)Time elapsed: 24.648 s
% 172.51/25.04 % (13469)Instructions burned: 56910 (million)
% 172.51/25.04 % (13463)Success in time 24.603 s
%------------------------------------------------------------------------------