TSTP Solution File: LAT144-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT144-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n016.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 : Thu Aug 31 06:29:46 EDT 2023
% Result : Unsatisfiable 83.23s 12.34s
% Output : Refutation 83.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 20
% Syntax : Number of formulae : 184 ( 184 unt; 0 def)
% Number of atoms : 184 ( 183 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 146 (; 146 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f263481,plain,
$false,
inference(subsumption_resolution,[],[f263480,f21]) ).
fof(f21,plain,
sF2 != sF9,
inference(definition_folding,[],[f10,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11]) ).
fof(f11,plain,
meet(a,c) = sF0,
introduced(function_definition,[]) ).
fof(f12,plain,
join(b,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f13,plain,
meet(a,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f14,plain,
join(b,c) = sF3,
introduced(function_definition,[]) ).
fof(f15,plain,
meet(a,sF3) = sF4,
introduced(function_definition,[]) ).
fof(f16,plain,
meet(b,c) = sF5,
introduced(function_definition,[]) ).
fof(f17,plain,
join(sF4,sF5) = sF6,
introduced(function_definition,[]) ).
fof(f18,plain,
meet(c,sF6) = sF7,
introduced(function_definition,[]) ).
fof(f19,plain,
join(b,sF7) = sF8,
introduced(function_definition,[]) ).
fof(f20,plain,
meet(a,sF8) = sF9,
introduced(function_definition,[]) ).
fof(f10,axiom,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c))))),
file('/export/starexec/sandbox/tmp/tmp.z0MSK8w0zO/Vampire---4.8_8944',prove_H2) ).
fof(f263480,plain,
sF2 = sF9,
inference(forward_demodulation,[],[f263479,f95383]) ).
fof(f95383,plain,
sF2 = meet(sF1,sF4),
inference(forward_demodulation,[],[f95382,f521]) ).
fof(f521,plain,
meet(sF2,sF3) = meet(sF1,sF4),
inference(superposition,[],[f99,f15]) ).
fof(f99,plain,
! [X16] : meet(sF2,X16) = meet(sF1,meet(a,X16)),
inference(forward_demodulation,[],[f80,f95]) ).
fof(f95,plain,
! [X6,X7,X5] : meet(X5,meet(X6,X7)) = meet(X6,meet(X5,X7)),
inference(forward_demodulation,[],[f76,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.z0MSK8w0zO/Vampire---4.8_8944',associativity_of_meet) ).
fof(f76,plain,
! [X6,X7,X5] : meet(X5,meet(X6,X7)) = meet(meet(X6,X5),X7),
inference(superposition,[],[f7,f5]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.z0MSK8w0zO/Vampire---4.8_8944',commutativity_of_meet) ).
fof(f80,plain,
! [X16] : meet(a,meet(sF1,X16)) = meet(sF2,X16),
inference(superposition,[],[f7,f13]) ).
fof(f95382,plain,
sF2 = meet(sF2,sF3),
inference(forward_demodulation,[],[f95204,f44173]) ).
fof(f44173,plain,
sF3 = join(sF0,sF3),
inference(forward_demodulation,[],[f44105,f6]) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.z0MSK8w0zO/Vampire---4.8_8944',commutativity_of_join) ).
fof(f44105,plain,
sF3 = join(sF3,sF0),
inference(superposition,[],[f53,f43706]) ).
fof(f43706,plain,
sF0 = meet(sF0,sF3),
inference(superposition,[],[f479,f14]) ).
fof(f479,plain,
! [X10] : sF0 = meet(sF0,join(X10,c)),
inference(forward_demodulation,[],[f465,f11]) ).
fof(f465,plain,
! [X10] : meet(a,c) = meet(sF0,join(X10,c)),
inference(superposition,[],[f79,f68]) ).
fof(f68,plain,
! [X2,X1] : meet(X1,join(X2,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/tmp/tmp.z0MSK8w0zO/Vampire---4.8_8944',absorption1) ).
fof(f79,plain,
! [X15] : meet(a,meet(c,X15)) = meet(sF0,X15),
inference(superposition,[],[f7,f11]) ).
fof(f53,plain,
! [X3,X4] : join(X3,meet(X4,X3)) = X3,
inference(superposition,[],[f4,f5]) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/tmp/tmp.z0MSK8w0zO/Vampire---4.8_8944',absorption2) ).
fof(f95204,plain,
sF2 = meet(sF2,join(sF0,sF3)),
inference(superposition,[],[f54734,f757]) ).
fof(f757,plain,
join(sF1,c) = join(sF0,sF3),
inference(superposition,[],[f127,f14]) ).
fof(f127,plain,
! [X15] : join(sF1,X15) = join(sF0,join(b,X15)),
inference(forward_demodulation,[],[f110,f123]) ).
fof(f123,plain,
! [X6,X7,X5] : join(X5,join(X6,X7)) = join(X6,join(X5,X7)),
inference(forward_demodulation,[],[f107,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.z0MSK8w0zO/Vampire---4.8_8944',associativity_of_join) ).
fof(f107,plain,
! [X6,X7,X5] : join(X5,join(X6,X7)) = join(join(X6,X5),X7),
inference(superposition,[],[f8,f6]) ).
fof(f110,plain,
! [X15] : join(b,join(sF0,X15)) = join(sF1,X15),
inference(superposition,[],[f8,f12]) ).
fof(f54734,plain,
! [X1] : sF2 = meet(sF2,join(sF1,X1)),
inference(forward_demodulation,[],[f54616,f45]) ).
fof(f45,plain,
sF2 = meet(sF1,a),
inference(superposition,[],[f5,f13]) ).
fof(f54616,plain,
! [X1] : meet(sF1,a) = meet(sF2,join(sF1,X1)),
inference(superposition,[],[f524,f75]) ).
fof(f75,plain,
! [X2,X3,X4] : meet(X2,meet(join(X2,X3),X4)) = meet(X2,X4),
inference(superposition,[],[f7,f3]) ).
fof(f524,plain,
! [X1] : meet(sF2,X1) = meet(sF1,meet(X1,a)),
inference(superposition,[],[f99,f5]) ).
fof(f263479,plain,
sF9 = meet(sF1,sF4),
inference(forward_demodulation,[],[f263478,f1132]) ).
fof(f1132,plain,
! [X50] : meet(sF3,meet(X50,a)) = meet(X50,sF4),
inference(superposition,[],[f88,f15]) ).
fof(f88,plain,
! [X10,X8,X9] : meet(X8,meet(X9,X10)) = meet(X10,meet(X8,X9)),
inference(superposition,[],[f7,f5]) ).
fof(f263478,plain,
sF9 = meet(sF3,meet(sF1,a)),
inference(forward_demodulation,[],[f263477,f557]) ).
fof(f557,plain,
! [X1] : meet(sF4,X1) = meet(sF3,meet(X1,a)),
inference(superposition,[],[f100,f5]) ).
fof(f100,plain,
! [X17] : meet(sF4,X17) = meet(sF3,meet(a,X17)),
inference(forward_demodulation,[],[f81,f95]) ).
fof(f81,plain,
! [X17] : meet(a,meet(sF3,X17)) = meet(sF4,X17),
inference(superposition,[],[f7,f15]) ).
fof(f263477,plain,
sF9 = meet(sF4,sF1),
inference(forward_demodulation,[],[f263476,f86736]) ).
fof(f86736,plain,
sF9 = meet(sF3,sF9),
inference(forward_demodulation,[],[f86735,f1133]) ).
fof(f1133,plain,
! [X51] : meet(sF8,meet(X51,a)) = meet(X51,sF9),
inference(superposition,[],[f88,f20]) ).
fof(f86735,plain,
sF9 = meet(sF8,meet(sF3,a)),
inference(forward_demodulation,[],[f86685,f600]) ).
fof(f600,plain,
! [X1] : meet(sF9,X1) = meet(sF8,meet(X1,a)),
inference(superposition,[],[f101,f5]) ).
fof(f101,plain,
! [X18] : meet(sF9,X18) = meet(sF8,meet(a,X18)),
inference(forward_demodulation,[],[f82,f95]) ).
fof(f82,plain,
! [X18] : meet(a,meet(sF8,X18)) = meet(sF9,X18),
inference(superposition,[],[f7,f20]) ).
fof(f86685,plain,
sF9 = meet(sF9,sF3),
inference(superposition,[],[f52123,f49887]) ).
fof(f49887,plain,
sF3 = join(sF3,sF8),
inference(superposition,[],[f4,f49587]) ).
fof(f49587,plain,
sF8 = meet(sF3,sF8),
inference(forward_demodulation,[],[f49586,f5]) ).
fof(f49586,plain,
sF8 = meet(sF8,sF3),
inference(forward_demodulation,[],[f49567,f47907]) ).
fof(f47907,plain,
sF3 = join(sF3,sF7),
inference(superposition,[],[f4,f47846]) ).
fof(f47846,plain,
sF7 = meet(sF3,sF7),
inference(forward_demodulation,[],[f47845,f1136]) ).
fof(f1136,plain,
! [X55] : meet(sF6,meet(X55,c)) = meet(X55,sF7),
inference(superposition,[],[f88,f18]) ).
fof(f47845,plain,
sF7 = meet(sF6,meet(sF3,c)),
inference(forward_demodulation,[],[f47785,f632]) ).
fof(f632,plain,
! [X0] : meet(sF7,X0) = meet(sF6,meet(X0,c)),
inference(superposition,[],[f102,f5]) ).
fof(f102,plain,
! [X20] : meet(sF7,X20) = meet(sF6,meet(c,X20)),
inference(forward_demodulation,[],[f84,f95]) ).
fof(f84,plain,
! [X20] : meet(c,meet(sF6,X20)) = meet(sF7,X20),
inference(superposition,[],[f7,f18]) ).
fof(f47785,plain,
sF7 = meet(sF7,sF3),
inference(superposition,[],[f651,f14]) ).
fof(f651,plain,
! [X10] : sF7 = meet(sF7,join(X10,c)),
inference(forward_demodulation,[],[f638,f48]) ).
fof(f48,plain,
sF7 = meet(sF6,c),
inference(superposition,[],[f5,f18]) ).
fof(f638,plain,
! [X10] : meet(sF6,c) = meet(sF7,join(X10,c)),
inference(superposition,[],[f102,f68]) ).
fof(f49567,plain,
sF8 = meet(sF8,join(sF3,sF7)),
inference(superposition,[],[f3,f801]) ).
fof(f801,plain,
join(sF8,c) = join(sF3,sF7),
inference(forward_demodulation,[],[f787,f6]) ).
fof(f787,plain,
join(sF8,c) = join(sF7,sF3),
inference(superposition,[],[f128,f14]) ).
fof(f128,plain,
! [X17] : join(sF8,X17) = join(sF7,join(b,X17)),
inference(forward_demodulation,[],[f112,f123]) ).
fof(f112,plain,
! [X17] : join(b,join(sF7,X17)) = join(sF8,X17),
inference(superposition,[],[f8,f19]) ).
fof(f52123,plain,
! [X138] : sF9 = meet(sF9,join(X138,sF8)),
inference(superposition,[],[f374,f307]) ).
fof(f307,plain,
sF8 = join(sF8,sF9),
inference(superposition,[],[f4,f47]) ).
fof(f47,plain,
sF9 = meet(sF8,a),
inference(superposition,[],[f5,f20]) ).
fof(f374,plain,
! [X10,X11,X9] : meet(X11,join(X9,join(X10,X11))) = X11,
inference(superposition,[],[f68,f8]) ).
fof(f263476,plain,
meet(sF4,sF1) = meet(sF3,sF9),
inference(forward_demodulation,[],[f263475,f555]) ).
fof(f555,plain,
meet(sF4,sF8) = meet(sF3,sF9),
inference(superposition,[],[f100,f20]) ).
fof(f263475,plain,
meet(sF4,sF1) = meet(sF4,sF8),
inference(forward_demodulation,[],[f263474,f60870]) ).
fof(f60870,plain,
sF8 = join(sF0,sF8),
inference(forward_demodulation,[],[f60869,f1925]) ).
fof(f1925,plain,
! [X40] : join(sF7,join(X40,b)) = join(X40,sF8),
inference(superposition,[],[f116,f19]) ).
fof(f116,plain,
! [X10,X8,X9] : join(X8,join(X9,X10)) = join(X10,join(X8,X9)),
inference(superposition,[],[f8,f6]) ).
fof(f60869,plain,
sF8 = join(sF7,join(sF0,b)),
inference(forward_demodulation,[],[f60809,f791]) ).
fof(f791,plain,
! [X1] : join(sF8,X1) = join(sF7,join(X1,b)),
inference(superposition,[],[f128,f6]) ).
fof(f60809,plain,
sF8 = join(sF8,sF0),
inference(superposition,[],[f53,f60353]) ).
fof(f60353,plain,
sF0 = meet(sF0,sF8),
inference(forward_demodulation,[],[f60352,f52038]) ).
fof(f52038,plain,
sF0 = meet(sF0,sF6),
inference(forward_demodulation,[],[f52021,f43383]) ).
fof(f43383,plain,
meet(sF0,sF6) = meet(sF0,sF7),
inference(forward_demodulation,[],[f43382,f427]) ).
fof(f427,plain,
sF7 = meet(sF6,sF7),
inference(superposition,[],[f74,f48]) ).
fof(f74,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f7,f1]) ).
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.z0MSK8w0zO/Vampire---4.8_8944',idempotence_of_meet) ).
fof(f43382,plain,
meet(sF0,sF6) = meet(sF0,meet(sF6,sF7)),
inference(forward_demodulation,[],[f43381,f1136]) ).
fof(f43381,plain,
meet(sF0,sF6) = meet(sF0,meet(sF6,meet(sF6,c))),
inference(forward_demodulation,[],[f43380,f95]) ).
fof(f43380,plain,
meet(sF0,sF6) = meet(sF6,meet(sF0,meet(sF6,c))),
inference(forward_demodulation,[],[f43323,f1259]) ).
fof(f1259,plain,
! [X68,X69] : meet(sF7,meet(X68,X69)) = meet(sF6,meet(X68,meet(X69,c))),
inference(superposition,[],[f102,f88]) ).
fof(f43323,plain,
meet(sF0,sF6) = meet(sF7,meet(sF0,sF6)),
inference(superposition,[],[f74,f473]) ).
fof(f473,plain,
meet(sF0,sF6) = meet(sF7,a),
inference(forward_demodulation,[],[f457,f5]) ).
fof(f457,plain,
meet(sF0,sF6) = meet(a,sF7),
inference(superposition,[],[f79,f18]) ).
fof(f52021,plain,
sF0 = meet(sF0,sF7),
inference(superposition,[],[f3,f50758]) ).
fof(f50758,plain,
sF7 = join(sF0,sF7),
inference(forward_demodulation,[],[f50706,f6]) ).
fof(f50706,plain,
sF7 = join(sF7,sF0),
inference(superposition,[],[f53,f50115]) ).
fof(f50115,plain,
sF0 = meet(sF4,sF7),
inference(forward_demodulation,[],[f50114,f43706]) ).
fof(f50114,plain,
meet(sF0,sF3) = meet(sF4,sF7),
inference(forward_demodulation,[],[f50016,f572]) ).
fof(f572,plain,
meet(sF4,c) = meet(sF0,sF3),
inference(forward_demodulation,[],[f552,f5]) ).
fof(f552,plain,
meet(sF4,c) = meet(sF3,sF0),
inference(superposition,[],[f100,f11]) ).
fof(f50016,plain,
meet(sF4,c) = meet(sF4,sF7),
inference(superposition,[],[f85,f48]) ).
fof(f85,plain,
! [X21] : meet(sF4,meet(sF6,X21)) = meet(sF4,X21),
inference(superposition,[],[f7,f26]) ).
fof(f26,plain,
sF4 = meet(sF4,sF6),
inference(superposition,[],[f3,f17]) ).
fof(f60352,plain,
meet(sF0,sF6) = meet(sF0,sF8),
inference(forward_demodulation,[],[f60351,f473]) ).
fof(f60351,plain,
meet(sF7,a) = meet(sF0,sF8),
inference(forward_demodulation,[],[f60243,f57535]) ).
fof(f57535,plain,
meet(sF0,sF8) = meet(sF7,sF9),
inference(forward_demodulation,[],[f57534,f52747]) ).
fof(f52747,plain,
! [X5] : meet(sF0,X5) = meet(sF0,meet(sF6,X5)),
inference(superposition,[],[f7,f52038]) ).
fof(f57534,plain,
meet(sF7,sF9) = meet(sF0,meet(sF6,sF8)),
inference(forward_demodulation,[],[f57404,f95]) ).
fof(f57404,plain,
meet(sF7,sF9) = meet(sF6,meet(sF0,sF8)),
inference(superposition,[],[f632,f615]) ).
fof(f615,plain,
meet(sF9,c) = meet(sF0,sF8),
inference(forward_demodulation,[],[f595,f5]) ).
fof(f595,plain,
meet(sF9,c) = meet(sF8,sF0),
inference(superposition,[],[f101,f11]) ).
fof(f60243,plain,
meet(sF7,a) = meet(sF7,sF9),
inference(superposition,[],[f833,f47]) ).
fof(f833,plain,
! [X39] : meet(sF7,X39) = meet(sF7,meet(sF8,X39)),
inference(superposition,[],[f75,f65]) ).
fof(f65,plain,
sF8 = join(sF7,b),
inference(superposition,[],[f6,f19]) ).
fof(f263474,plain,
meet(sF4,sF1) = meet(sF4,join(sF0,sF8)),
inference(forward_demodulation,[],[f263473,f759]) ).
fof(f759,plain,
join(sF1,sF7) = join(sF0,sF8),
inference(superposition,[],[f127,f19]) ).
fof(f263473,plain,
meet(sF4,sF1) = meet(sF4,join(sF1,sF7)),
inference(forward_demodulation,[],[f263472,f59462]) ).
fof(f59462,plain,
! [X1] : sF1 = join(sF1,meet(sF0,X1)),
inference(forward_demodulation,[],[f59406,f64]) ).
fof(f64,plain,
sF1 = join(sF0,b),
inference(superposition,[],[f6,f12]) ).
fof(f59406,plain,
! [X1] : join(sF0,b) = join(sF1,meet(sF0,X1)),
inference(superposition,[],[f761,f106]) ).
fof(f106,plain,
! [X2,X3,X4] : join(X2,join(meet(X2,X3),X4)) = join(X2,X4),
inference(superposition,[],[f8,f4]) ).
fof(f761,plain,
! [X1] : join(sF1,X1) = join(sF0,join(X1,b)),
inference(superposition,[],[f127,f6]) ).
fof(f263472,plain,
meet(sF4,join(sF1,sF7)) = meet(sF4,join(sF1,meet(sF0,meet(sF3,sF6)))),
inference(forward_demodulation,[],[f263471,f7217]) ).
fof(f7217,plain,
! [X9] : meet(sF4,join(X9,meet(sF4,sF7))) = meet(sF4,join(X9,meet(sF0,meet(sF3,sF6)))),
inference(forward_demodulation,[],[f7216,f571]) ).
fof(f571,plain,
! [X0] : meet(sF4,meet(c,X0)) = meet(sF0,meet(sF3,X0)),
inference(forward_demodulation,[],[f551,f95]) ).
fof(f551,plain,
! [X0] : meet(sF4,meet(c,X0)) = meet(sF3,meet(sF0,X0)),
inference(superposition,[],[f100,f79]) ).
fof(f7216,plain,
! [X9] : meet(sF4,join(X9,meet(sF4,sF7))) = meet(sF4,join(X9,meet(sF4,meet(c,sF6)))),
inference(forward_demodulation,[],[f7112,f168]) ).
fof(f168,plain,
! [X46,X47] : meet(sF4,join(X46,meet(sF4,meet(X47,sF6)))) = meet(sF4,join(X46,meet(X47,join(sF4,meet(X46,sF6))))),
inference(superposition,[],[f9,f26]) ).
fof(f9,axiom,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X0,meet(X2,X3)))) = meet(X0,join(X1,meet(X2,join(meet(X0,X3),meet(X1,X3))))),
file('/export/starexec/sandbox/tmp/tmp.z0MSK8w0zO/Vampire---4.8_8944',equation_H32) ).
fof(f7112,plain,
! [X9] : meet(sF4,join(X9,meet(sF4,sF7))) = meet(sF4,join(X9,meet(c,join(sF4,meet(X9,sF6))))),
inference(superposition,[],[f141,f26]) ).
fof(f141,plain,
! [X42,X43] : meet(X42,join(X43,meet(c,join(meet(X42,sF6),meet(X43,sF6))))) = meet(X42,join(X43,meet(X42,sF7))),
inference(superposition,[],[f9,f18]) ).
fof(f263471,plain,
meet(sF4,join(sF1,sF7)) = meet(sF4,join(sF1,meet(sF4,sF7))),
inference(forward_demodulation,[],[f263191,f4209]) ).
fof(f4209,plain,
! [X16,X14,X15] : meet(X14,join(X16,meet(X15,X14))) = meet(X14,join(X16,meet(X14,X15))),
inference(forward_demodulation,[],[f4029,f74]) ).
fof(f4029,plain,
! [X16,X14,X15] : meet(X14,join(X16,meet(X15,X14))) = meet(X14,join(X16,meet(X14,meet(X14,X15)))),
inference(superposition,[],[f221,f88]) ).
fof(f221,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,meet(X2,X0)))) = meet(X0,join(X1,meet(X2,X0))),
inference(forward_demodulation,[],[f154,f53]) ).
fof(f154,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,meet(X2,X0)))) = meet(X0,join(X1,meet(X2,join(X0,meet(X1,X0))))),
inference(superposition,[],[f9,f1]) ).
fof(f263191,plain,
meet(sF4,join(sF1,sF7)) = meet(sF4,join(sF1,meet(sF7,sF4))),
inference(superposition,[],[f20934,f146574]) ).
fof(f146574,plain,
sF7 = meet(sF7,join(sF1,sF4)),
inference(superposition,[],[f52216,f64609]) ).
fof(f64609,plain,
join(sF1,sF4) = join(sF1,sF6),
inference(forward_demodulation,[],[f64608,f6]) ).
fof(f64608,plain,
join(sF4,sF1) = join(sF1,sF6),
inference(forward_demodulation,[],[f64607,f49627]) ).
fof(f49627,plain,
! [X7] : join(X7,sF1) = join(sF1,join(X7,sF5)),
inference(superposition,[],[f123,f49082]) ).
fof(f49082,plain,
sF1 = join(sF1,sF5),
inference(superposition,[],[f771,f16]) ).
fof(f771,plain,
! [X3] : sF1 = join(sF1,meet(b,X3)),
inference(forward_demodulation,[],[f763,f64]) ).
fof(f763,plain,
! [X3] : join(sF0,b) = join(sF1,meet(b,X3)),
inference(superposition,[],[f127,f4]) ).
fof(f64607,plain,
join(sF1,sF6) = join(sF1,join(sF4,sF5)),
inference(forward_demodulation,[],[f64566,f64563]) ).
fof(f64563,plain,
! [X2,X3] : join(sF1,join(X2,X3)) = join(sF1,join(X2,join(X3,b))),
inference(superposition,[],[f1902,f8]) ).
fof(f1902,plain,
! [X26] : join(sF1,X26) = join(sF1,join(X26,b)),
inference(forward_demodulation,[],[f1901,f352]) ).
fof(f352,plain,
! [X2,X1] : join(X1,X2) = join(X1,join(X2,X1)),
inference(forward_demodulation,[],[f327,f8]) ).
fof(f327,plain,
! [X2,X1] : join(X1,X2) = join(join(X1,X2),X1),
inference(superposition,[],[f53,f3]) ).
fof(f1901,plain,
! [X26] : join(sF1,join(X26,join(b,X26))) = join(sF1,X26),
inference(forward_demodulation,[],[f1813,f127]) ).
fof(f1813,plain,
! [X26] : join(sF1,join(X26,join(b,X26))) = join(sF0,join(b,X26)),
inference(superposition,[],[f127,f114]) ).
fof(f114,plain,
! [X3,X4] : join(X3,X4) = join(X3,join(X4,join(X3,X4))),
inference(superposition,[],[f8,f2]) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.z0MSK8w0zO/Vampire---4.8_8944',idempotence_of_join) ).
fof(f64566,plain,
join(sF1,sF6) = join(sF1,join(sF4,join(sF5,b))),
inference(superposition,[],[f1902,f113]) ).
fof(f113,plain,
! [X18] : join(sF4,join(sF5,X18)) = join(sF6,X18),
inference(superposition,[],[f8,f17]) ).
fof(f52216,plain,
! [X107] : sF7 = meet(sF7,join(X107,sF6)),
inference(forward_demodulation,[],[f52100,f8609]) ).
fof(f8609,plain,
sF7 = join(sF5,sF7),
inference(forward_demodulation,[],[f8584,f6]) ).
fof(f8584,plain,
sF7 = join(sF7,sF5),
inference(superposition,[],[f4,f502]) ).
fof(f502,plain,
sF5 = meet(sF7,b),
inference(forward_demodulation,[],[f501,f382]) ).
fof(f382,plain,
sF5 = meet(sF5,sF6),
inference(superposition,[],[f68,f17]) ).
fof(f501,plain,
meet(sF5,sF6) = meet(sF7,b),
inference(forward_demodulation,[],[f485,f5]) ).
fof(f485,plain,
meet(sF5,sF6) = meet(b,sF7),
inference(superposition,[],[f83,f18]) ).
fof(f83,plain,
! [X19] : meet(b,meet(c,X19)) = meet(sF5,X19),
inference(superposition,[],[f7,f16]) ).
fof(f52100,plain,
! [X107] : join(sF5,sF7) = meet(join(sF5,sF7),join(X107,sF6)),
inference(superposition,[],[f374,f318]) ).
fof(f318,plain,
sF6 = join(sF4,join(sF5,sF7)),
inference(forward_demodulation,[],[f313,f113]) ).
fof(f313,plain,
sF6 = join(sF6,sF7),
inference(superposition,[],[f4,f48]) ).
fof(f20934,plain,
! [X160,X158,X159] : meet(X158,join(X159,meet(X160,X158))) = meet(X158,join(X159,meet(X160,join(X159,X158)))),
inference(forward_demodulation,[],[f20542,f1438]) ).
fof(f1438,plain,
! [X48,X49,X47] : meet(X47,meet(X49,join(X48,X47))) = meet(X49,X47),
inference(superposition,[],[f95,f68]) ).
fof(f20542,plain,
! [X160,X158,X159] : meet(X158,join(X159,meet(X160,join(X159,X158)))) = meet(X158,join(X159,meet(X158,meet(X160,join(X159,X158))))),
inference(superposition,[],[f237,f68]) ).
fof(f237,plain,
! [X3,X6,X4,X5] : meet(X5,join(X3,meet(X5,meet(X6,join(X3,X4))))) = meet(X5,join(X3,meet(X6,join(X3,meet(X5,join(X3,X4)))))),
inference(forward_demodulation,[],[f170,f6]) ).
fof(f170,plain,
! [X3,X6,X4,X5] : meet(X5,join(X3,meet(X5,meet(X6,join(X3,X4))))) = meet(X5,join(X3,meet(X6,join(meet(X5,join(X3,X4)),X3)))),
inference(superposition,[],[f9,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT144-1 : TPTP v8.1.2. Released v3.1.0.
% 0.15/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n016.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 24 08:41:08 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.z0MSK8w0zO/Vampire---4.8_8944
% 0.16/0.37 % (9056)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (9058)lrs+10_15_av=off:bd=preordered:drc=off:nwc=1.1:sp=reverse_frequency:tgt=ground:stl=188_1140 on Vampire---4 for (1140ds/0Mi)
% 0.23/0.43 % (9060)ott+10_5:4_av=off:bd=off:drc=off:fde=unused:sims=off_758 on Vampire---4 for (758ds/0Mi)
% 0.23/0.43 % (9062)ott+10_4:1_av=off:drc=off:sos=on:tgt=ground_592 on Vampire---4 for (592ds/0Mi)
% 0.23/0.43 % (9059)dis+10_6_av=off:bd=off:drc=off:fde=none:nwc=1.2:sims=off:tgt=full_978 on Vampire---4 for (978ds/0Mi)
% 0.23/0.43 % (9057)ott+10_16_av=off:drc=off:fde=none:nwc=1.7:sp=weighted_frequency_1200 on Vampire---4 for (1200ds/0Mi)
% 0.23/0.43 % (9063)ott+10_4:5_av=off:bd=preordered:drc=off:fde=unused:nwc=1.3:sims=off:sp=scramble:tgt=ground_476 on Vampire---4 for (476ds/0Mi)
% 0.23/0.43 % (9062)Refutation not found, incomplete strategy% (9062)------------------------------
% 0.23/0.43 % (9062)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.43 % (9062)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.43 % (9062)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.43
% 0.23/0.43 % (9062)Memory used [KB]: 895
% 0.23/0.43 % (9062)Time elapsed: 0.003 s
% 0.23/0.43 % (9062)------------------------------
% 0.23/0.43 % (9062)------------------------------
% 0.23/0.43 % (9061)ott+10_2:7_av=off:bd=preordered:drc=off:fde=unused:nwc=1.1:sims=off_611 on Vampire---4 for (611ds/0Mi)
% 0.23/0.49 % (9064)lrs+10_2:1_av=off:bd=off:drc=off:fde=none:sims=off:sp=reverse_weighted_frequency:to=lpo:tgt=ground:stl=125_365 on Vampire---4 for (365ds/0Mi)
% 83.23/12.31 % (9064)First to succeed.
% 83.23/12.34 % (9064)Refutation found. Thanks to Tanya!
% 83.23/12.34 % SZS status Unsatisfiable for Vampire---4
% 83.23/12.34 % SZS output start Proof for Vampire---4
% See solution above
% 83.23/12.34 % (9064)------------------------------
% 83.23/12.34 % (9064)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 83.23/12.34 % (9064)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 83.23/12.34 % (9064)Termination reason: Refutation
% 83.23/12.34
% 83.23/12.34 % (9064)Memory used [KB]: 597175
% 83.23/12.34 % (9064)Time elapsed: 11.819 s
% 83.23/12.34 % (9064)------------------------------
% 83.23/12.34 % (9064)------------------------------
% 83.23/12.34 % (9056)Success in time 11.853 s
% 83.23/12.34 % Vampire---4.8 exiting
%------------------------------------------------------------------------------