TSTP Solution File: REL025+2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : REL025+2 : TPTP v8.1.2. Released v4.0.0.
% 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 : n004.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 13:45:11 EDT 2023
% Result : Theorem 27.12s 4.27s
% Output : Refutation 27.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 82
% Number of leaves : 15
% Syntax : Number of formulae : 330 ( 319 unt; 0 def)
% Number of atoms : 355 ( 354 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 46 ( 21 ~; 10 |; 10 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 401 (; 399 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f308742,plain,
$false,
inference(trivial_inequality_removal,[],[f307318]) ).
fof(f307318,plain,
sK0 != sK0,
inference(backward_demodulation,[],[f6780,f307303]) ).
fof(f307303,plain,
sK0 = converse(sK0),
inference(forward_demodulation,[],[f307302,f307020]) ).
fof(f307020,plain,
sK0 = join(sK0,converse(sK0)),
inference(forward_demodulation,[],[f306926,f1424]) ).
fof(f1424,plain,
! [X0] : meet(X0,top) = X0,
inference(backward_demodulation,[],[f1346,f1422]) ).
fof(f1422,plain,
! [X6] : complement(complement(X6)) = X6,
inference(forward_demodulation,[],[f1359,f1383]) ).
fof(f1383,plain,
! [X5] : complement(complement(X5)) = meet(X5,complement(complement(X5))),
inference(backward_demodulation,[],[f1369,f1346]) ).
fof(f1369,plain,
! [X5] : meet(X5,top) = meet(X5,meet(X5,top)),
inference(forward_demodulation,[],[f1368,f30]) ).
fof(f30,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/tmp/tmp.2VVTrj7590/Vampire---4.8_18191',maddux4_definiton_of_meet) ).
fof(f1368,plain,
! [X5] : meet(X5,top) = complement(join(complement(X5),complement(meet(X5,top)))),
inference(forward_demodulation,[],[f1342,f1318]) ).
fof(f1318,plain,
! [X3] : join(zero,X3) = X3,
inference(superposition,[],[f1091,f566]) ).
fof(f566,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f548,f30]) ).
fof(f548,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f40,f25]) ).
fof(f25,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/tmp/tmp.2VVTrj7590/Vampire---4.8_18191',def_zero) ).
fof(f40,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f39,f27]) ).
fof(f27,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.2VVTrj7590/Vampire---4.8_18191',maddux1_join_commutativity) ).
fof(f39,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f38,f30]) ).
fof(f38,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f32,f27]) ).
fof(f32,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox/tmp/tmp.2VVTrj7590/Vampire---4.8_18191',maddux3_a_kind_of_de_Morgan) ).
fof(f1091,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f34,f1012]) ).
fof(f1012,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f1010,f566]) ).
fof(f1010,plain,
join(zero,zero) = join(zero,meet(zero,zero)),
inference(backward_demodulation,[],[f1006,f985]) ).
fof(f985,plain,
complement(join(top,top)) = meet(zero,zero),
inference(superposition,[],[f855,f846]) ).
fof(f846,plain,
top = complement(zero),
inference(forward_demodulation,[],[f845,f611]) ).
fof(f611,plain,
top = join(zero,meet(top,complement(zero))),
inference(superposition,[],[f590,f98]) ).
fof(f98,plain,
zero = complement(top),
inference(forward_demodulation,[],[f93,f25]) ).
fof(f93,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f30,f26]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/tmp/tmp.2VVTrj7590/Vampire---4.8_18191',def_top) ).
fof(f590,plain,
! [X6] : join(zero,meet(X6,complement(complement(X6)))) = X6,
inference(forward_demodulation,[],[f589,f98]) ).
fof(f589,plain,
! [X6] : join(complement(top),meet(X6,complement(complement(X6)))) = X6,
inference(forward_demodulation,[],[f562,f27]) ).
fof(f562,plain,
! [X6] : join(meet(X6,complement(complement(X6))),complement(top)) = X6,
inference(superposition,[],[f40,f26]) ).
fof(f845,plain,
complement(zero) = join(zero,meet(top,complement(zero))),
inference(forward_demodulation,[],[f844,f99]) ).
fof(f99,plain,
! [X2,X1] : meet(X1,X2) = meet(X2,X1),
inference(forward_demodulation,[],[f94,f30]) ).
fof(f94,plain,
! [X2,X1] : meet(X1,X2) = complement(join(complement(X2),complement(X1))),
inference(superposition,[],[f30,f27]) ).
fof(f844,plain,
complement(zero) = join(zero,meet(complement(zero),top)),
inference(forward_demodulation,[],[f833,f27]) ).
fof(f833,plain,
complement(zero) = join(meet(complement(zero),top),zero),
inference(superposition,[],[f799,f25]) ).
fof(f799,plain,
! [X0] : join(meet(X0,top),meet(zero,X0)) = X0,
inference(superposition,[],[f781,f99]) ).
fof(f781,plain,
! [X6] : join(meet(X6,top),meet(X6,zero)) = X6,
inference(superposition,[],[f592,f98]) ).
fof(f592,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(forward_demodulation,[],[f564,f27]) ).
fof(f564,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f40,f30]) ).
fof(f855,plain,
! [X0] : meet(zero,X0) = complement(join(top,complement(X0))),
inference(superposition,[],[f30,f846]) ).
fof(f1006,plain,
join(zero,zero) = join(zero,complement(join(top,top))),
inference(backward_demodulation,[],[f824,f1005]) ).
fof(f1005,plain,
complement(join(top,top)) = meet(zero,join(zero,zero)),
inference(forward_demodulation,[],[f983,f594]) ).
fof(f594,plain,
! [X0] : join(top,X0) = join(top,meet(X0,X0)),
inference(superposition,[],[f445,f566]) ).
fof(f445,plain,
! [X20] : join(top,join(zero,X20)) = join(top,X20),
inference(superposition,[],[f34,f108]) ).
fof(f108,plain,
top = join(top,zero),
inference(superposition,[],[f26,f98]) ).
fof(f983,plain,
meet(zero,join(zero,zero)) = complement(join(top,meet(top,top))),
inference(superposition,[],[f855,f114]) ).
fof(f114,plain,
meet(top,top) = complement(join(zero,zero)),
inference(superposition,[],[f110,f98]) ).
fof(f110,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f106,f27]) ).
fof(f106,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f30,f98]) ).
fof(f824,plain,
join(zero,zero) = join(zero,meet(zero,join(zero,zero))),
inference(forward_demodulation,[],[f809,f99]) ).
fof(f809,plain,
join(zero,zero) = join(zero,meet(join(zero,zero),zero)),
inference(superposition,[],[f797,f571]) ).
fof(f571,plain,
zero = meet(top,join(zero,zero)),
inference(forward_demodulation,[],[f569,f98]) ).
fof(f569,plain,
complement(top) = meet(top,join(zero,zero)),
inference(backward_demodulation,[],[f132,f566]) ).
fof(f132,plain,
complement(join(zero,meet(top,top))) = meet(top,join(zero,zero)),
inference(forward_demodulation,[],[f127,f99]) ).
fof(f127,plain,
meet(join(zero,zero),top) = complement(join(zero,meet(top,top))),
inference(superposition,[],[f110,f114]) ).
fof(f797,plain,
! [X0] : join(meet(top,X0),meet(X0,zero)) = X0,
inference(superposition,[],[f781,f99]) ).
fof(f34,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.2VVTrj7590/Vampire---4.8_18191',maddux2_join_associativity) ).
fof(f1342,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(complement(X5),complement(meet(X5,top))))),
inference(backward_demodulation,[],[f580,f1318]) ).
fof(f580,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(zero,join(complement(X5),complement(meet(X5,top)))))),
inference(forward_demodulation,[],[f579,f27]) ).
fof(f579,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(zero,join(complement(meet(X5,top)),complement(X5))))),
inference(forward_demodulation,[],[f552,f461]) ).
fof(f461,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(X3,join(X2,X4)),
inference(forward_demodulation,[],[f438,f34]) ).
fof(f438,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(join(X3,X2),X4),
inference(superposition,[],[f34,f27]) ).
fof(f552,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(complement(meet(X5,top)),join(zero,complement(X5))))),
inference(superposition,[],[f40,f126]) ).
fof(f126,plain,
! [X5] : zero = meet(meet(X5,top),join(zero,complement(X5))),
inference(forward_demodulation,[],[f119,f99]) ).
fof(f119,plain,
! [X5] : zero = meet(join(zero,complement(X5)),meet(X5,top)),
inference(superposition,[],[f25,f110]) ).
fof(f1359,plain,
! [X6] : meet(X6,complement(complement(X6))) = X6,
inference(backward_demodulation,[],[f590,f1318]) ).
fof(f1346,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(backward_demodulation,[],[f110,f1318]) ).
fof(f306926,plain,
sK0 = meet(join(sK0,converse(sK0)),top),
inference(superposition,[],[f101334,f304817]) ).
fof(f304817,plain,
top = join(sK0,complement(converse(sK0))),
inference(forward_demodulation,[],[f304816,f846]) ).
fof(f304816,plain,
complement(zero) = join(sK0,complement(converse(sK0))),
inference(forward_demodulation,[],[f304683,f261860]) ).
fof(f261860,plain,
join(sK0,complement(converse(sK0))) = join(complement(converse(sK0)),composition(sK0,top)),
inference(superposition,[],[f97796,f117310]) ).
fof(f117310,plain,
! [X136] : composition(X136,top) = join(X136,composition(X136,complement(converse(sK0)))),
inference(forward_demodulation,[],[f117309,f13435]) ).
fof(f13435,plain,
! [X6] : complement(converse(X6)) = converse(complement(X6)),
inference(superposition,[],[f13304,f1422]) ).
fof(f13304,plain,
! [X15] : converse(X15) = complement(converse(complement(X15))),
inference(forward_demodulation,[],[f13239,f7939]) ).
fof(f7939,plain,
! [X0] : complement(converse(complement(X0))) = join(converse(X0),complement(converse(complement(X0)))),
inference(forward_demodulation,[],[f7875,f27]) ).
fof(f7875,plain,
! [X0] : complement(converse(complement(X0))) = join(complement(converse(complement(X0))),converse(X0)),
inference(superposition,[],[f7158,f1939]) ).
fof(f1939,plain,
! [X7] : meet(X7,converse(complement(converse(complement(X7))))) = X7,
inference(forward_demodulation,[],[f1938,f1318]) ).
fof(f1938,plain,
! [X7] : join(zero,meet(X7,converse(complement(converse(complement(X7)))))) = X7,
inference(forward_demodulation,[],[f1933,f98]) ).
fof(f1933,plain,
! [X7] : join(complement(top),meet(X7,converse(complement(converse(complement(X7)))))) = X7,
inference(backward_demodulation,[],[f591,f1927]) ).
fof(f1927,plain,
top = converse(top),
inference(forward_demodulation,[],[f1906,f1921]) ).
fof(f1921,plain,
! [X7] : top = join(X7,converse(top)),
inference(backward_demodulation,[],[f518,f1895]) ).
fof(f1895,plain,
! [X1] : top = join(top,X1),
inference(superposition,[],[f1875,f27]) ).
fof(f1875,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f1869,f1444]) ).
fof(f1444,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f1435,f25]) ).
fof(f1435,plain,
! [X0] : join(X0,meet(X0,complement(X0))) = X0,
inference(superposition,[],[f592,f1357]) ).
fof(f1357,plain,
! [X0] : meet(X0,X0) = X0,
inference(backward_demodulation,[],[f566,f1318]) ).
fof(f1869,plain,
! [X0] : top = join(X0,join(top,zero)),
inference(superposition,[],[f450,f1815]) ).
fof(f1815,plain,
! [X12] : zero = complement(join(X12,top)),
inference(backward_demodulation,[],[f1506,f1814]) ).
fof(f1814,plain,
! [X2] : zero = complement(join(top,X2)),
inference(forward_demodulation,[],[f1813,f1186]) ).
fof(f1186,plain,
! [X3] : join(top,X3) = join(top,join(top,X3)),
inference(forward_demodulation,[],[f1185,f507]) ).
fof(f507,plain,
! [X0,X1] : join(top,join(X0,X1)) = join(top,join(X0,join(zero,X1))),
inference(forward_demodulation,[],[f506,f34]) ).
fof(f506,plain,
! [X0,X1] : join(join(top,X0),X1) = join(top,join(X0,join(zero,X1))),
inference(forward_demodulation,[],[f505,f34]) ).
fof(f505,plain,
! [X0,X1] : join(join(top,X0),X1) = join(top,join(join(X0,zero),X1)),
inference(superposition,[],[f34,f493]) ).
fof(f493,plain,
! [X2] : join(top,X2) = join(top,join(X2,zero)),
inference(superposition,[],[f445,f27]) ).
fof(f1185,plain,
! [X3] : join(top,X3) = join(top,join(top,join(zero,X3))),
inference(forward_demodulation,[],[f1184,f637]) ).
fof(f637,plain,
! [X0,X1] : join(top,join(X0,X1)) = join(top,join(meet(X0,X0),X1)),
inference(forward_demodulation,[],[f636,f34]) ).
fof(f636,plain,
! [X0,X1] : join(join(top,X0),X1) = join(top,join(meet(X0,X0),X1)),
inference(superposition,[],[f34,f594]) ).
fof(f1184,plain,
! [X3] : join(top,X3) = join(top,join(top,join(meet(zero,zero),X3))),
inference(forward_demodulation,[],[f1125,f34]) ).
fof(f1125,plain,
! [X3] : join(top,X3) = join(join(top,top),join(meet(zero,zero),X3)),
inference(superposition,[],[f437,f985]) ).
fof(f437,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f34,f26]) ).
fof(f1813,plain,
! [X2] : zero = complement(join(top,join(top,X2))),
inference(forward_demodulation,[],[f1812,f1506]) ).
fof(f1812,plain,
! [X2] : zero = complement(join(join(top,X2),top)),
inference(forward_demodulation,[],[f1811,f987]) ).
fof(f987,plain,
! [X0] : meet(zero,complement(X0)) = complement(join(X0,top)),
inference(superposition,[],[f855,f517]) ).
fof(f517,plain,
! [X6] : join(top,complement(complement(X6))) = join(X6,top),
inference(superposition,[],[f437,f26]) ).
fof(f1811,plain,
! [X2] : zero = meet(zero,complement(join(top,X2))),
inference(forward_demodulation,[],[f1810,f1318]) ).
fof(f1810,plain,
! [X2] : zero = join(zero,meet(zero,complement(join(top,X2)))),
inference(superposition,[],[f592,f1780]) ).
fof(f1780,plain,
! [X0] : zero = meet(zero,join(top,X0)),
inference(superposition,[],[f1768,f27]) ).
fof(f1768,plain,
! [X0] : zero = meet(zero,join(X0,top)),
inference(forward_demodulation,[],[f1767,f1509]) ).
fof(f1509,plain,
! [X1] : meet(top,X1) = X1,
inference(superposition,[],[f1424,f99]) ).
fof(f1767,plain,
! [X0] : zero = meet(top,meet(zero,join(X0,top))),
inference(forward_demodulation,[],[f1757,f99]) ).
fof(f1757,plain,
! [X0] : zero = meet(meet(zero,join(X0,top)),top),
inference(superposition,[],[f25,f1750]) ).
fof(f1750,plain,
! [X0] : top = complement(meet(zero,join(X0,top))),
inference(forward_demodulation,[],[f1741,f1485]) ).
fof(f1485,plain,
! [X17] : join(top,complement(X17)) = complement(meet(zero,X17)),
inference(forward_demodulation,[],[f1481,f1357]) ).
fof(f1481,plain,
! [X17] : join(top,complement(X17)) = meet(complement(meet(zero,X17)),complement(meet(zero,X17))),
inference(backward_demodulation,[],[f1360,f1479]) ).
fof(f1479,plain,
! [X6,X5] : meet(X6,join(top,complement(X5))) = meet(X6,complement(meet(zero,X5))),
inference(backward_demodulation,[],[f993,f1472]) ).
fof(f1472,plain,
! [X2,X0,X1] : complement(join(complement(X2),meet(X0,X1))) = meet(X2,complement(meet(X0,X1))),
inference(backward_demodulation,[],[f92,f1457]) ).
fof(f1457,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(superposition,[],[f1422,f30]) ).
fof(f92,plain,
! [X2,X0,X1] : meet(X2,join(complement(X0),complement(X1))) = complement(join(complement(X2),meet(X0,X1))),
inference(superposition,[],[f30,f30]) ).
fof(f993,plain,
! [X6,X5] : meet(X6,join(top,complement(X5))) = complement(join(complement(X6),meet(zero,X5))),
inference(superposition,[],[f30,f855]) ).
fof(f1360,plain,
! [X17] : join(top,complement(X17)) = meet(complement(meet(zero,X17)),join(top,complement(X17))),
inference(backward_demodulation,[],[f1050,f1318]) ).
fof(f1050,plain,
! [X17] : join(top,complement(X17)) = join(zero,meet(complement(meet(zero,X17)),join(top,complement(X17)))),
inference(forward_demodulation,[],[f1002,f99]) ).
fof(f1002,plain,
! [X17] : join(top,complement(X17)) = join(zero,meet(join(top,complement(X17)),complement(meet(zero,X17)))),
inference(superposition,[],[f590,f855]) ).
fof(f1741,plain,
! [X0] : top = join(top,complement(join(X0,top))),
inference(superposition,[],[f1728,f987]) ).
fof(f1728,plain,
! [X0] : top = join(top,meet(zero,X0)),
inference(forward_demodulation,[],[f1719,f514]) ).
fof(f514,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f437,f27]) ).
fof(f1719,plain,
! [X0] : top = join(X0,join(meet(zero,X0),complement(X0))),
inference(superposition,[],[f450,f1395]) ).
fof(f1395,plain,
! [X0] : join(X0,meet(zero,X0)) = X0,
inference(backward_demodulation,[],[f1375,f1390]) ).
fof(f1390,plain,
! [X2,X1] : join(X1,X2) = join(complement(complement(X1)),X2),
inference(backward_demodulation,[],[f1339,f1383]) ).
fof(f1339,plain,
! [X2,X1] : join(X1,X2) = join(meet(X1,complement(complement(X1))),X2),
inference(backward_demodulation,[],[f613,f1318]) ).
fof(f613,plain,
! [X2,X1] : join(X1,X2) = join(zero,join(meet(X1,complement(complement(X1))),X2)),
inference(superposition,[],[f34,f590]) ).
fof(f1375,plain,
! [X0] : join(complement(complement(X0)),meet(zero,X0)) = X0,
inference(backward_demodulation,[],[f799,f1346]) ).
fof(f1506,plain,
! [X12] : complement(join(top,X12)) = complement(join(X12,top)),
inference(forward_demodulation,[],[f1468,f987]) ).
fof(f1468,plain,
! [X12] : meet(zero,complement(X12)) = complement(join(top,X12)),
inference(superposition,[],[f855,f1422]) ).
fof(f450,plain,
! [X3,X4] : top = join(X3,join(X4,complement(join(X3,X4)))),
inference(superposition,[],[f34,f26]) ).
fof(f518,plain,
! [X7] : join(top,converse(complement(converse(complement(X7))))) = join(X7,converse(top)),
inference(superposition,[],[f437,f245]) ).
fof(f245,plain,
! [X2] : join(X2,converse(complement(converse(X2)))) = converse(top),
inference(superposition,[],[f47,f26]) ).
fof(f47,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f23]) ).
fof(f23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/tmp/tmp.2VVTrj7590/Vampire---4.8_18191',converse_idempotence) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/tmp/tmp.2VVTrj7590/Vampire---4.8_18191',converse_additivity) ).
fof(f1906,plain,
! [X10] : converse(top) = join(X10,converse(top)),
inference(superposition,[],[f47,f1875]) ).
fof(f591,plain,
! [X7] : join(complement(converse(top)),meet(X7,converse(complement(converse(complement(X7)))))) = X7,
inference(forward_demodulation,[],[f563,f27]) ).
fof(f563,plain,
! [X7] : join(meet(X7,converse(complement(converse(complement(X7))))),complement(converse(top))) = X7,
inference(superposition,[],[f40,f245]) ).
fof(f7158,plain,
! [X63,X64] : join(X63,converse(meet(X64,converse(X63)))) = X63,
inference(forward_demodulation,[],[f7112,f23]) ).
fof(f7112,plain,
! [X63,X64] : join(X63,converse(meet(X64,converse(X63)))) = converse(converse(X63)),
inference(superposition,[],[f47,f6888]) ).
fof(f6888,plain,
! [X2,X1] : join(X1,meet(X2,X1)) = X1,
inference(superposition,[],[f6696,f99]) ).
fof(f6696,plain,
! [X26,X25] : join(X25,meet(X25,X26)) = X25,
inference(forward_demodulation,[],[f6658,f1422]) ).
fof(f6658,plain,
! [X26,X25] : join(X25,meet(X25,X26)) = complement(complement(X25)),
inference(superposition,[],[f1422,f6270]) ).
fof(f6270,plain,
! [X41,X42] : complement(X41) = complement(join(X41,meet(X41,X42))),
inference(backward_demodulation,[],[f4401,f6221]) ).
fof(f6221,plain,
! [X3,X4] : complement(join(X4,X3)) = meet(complement(X4),complement(X3)),
inference(superposition,[],[f1463,f1422]) ).
fof(f1463,plain,
! [X2,X3] : meet(complement(X2),X3) = complement(join(X2,complement(X3))),
inference(superposition,[],[f30,f1422]) ).
fof(f4401,plain,
! [X41,X42] : complement(X41) = meet(complement(X41),complement(meet(X41,X42))),
inference(superposition,[],[f1839,f1457]) ).
fof(f1839,plain,
! [X4,X5] : meet(X4,join(X4,X5)) = X4,
inference(forward_demodulation,[],[f1816,f1318]) ).
fof(f1816,plain,
! [X4,X5] : join(zero,meet(X4,join(X4,X5))) = X4,
inference(backward_demodulation,[],[f1392,f1814]) ).
fof(f1392,plain,
! [X4,X5] : join(complement(join(top,X5)),meet(X4,join(X4,X5))) = X4,
inference(backward_demodulation,[],[f588,f1390]) ).
fof(f588,plain,
! [X4,X5] : join(complement(join(top,X5)),meet(X4,join(complement(complement(X4)),X5))) = X4,
inference(forward_demodulation,[],[f561,f27]) ).
fof(f561,plain,
! [X4,X5] : join(meet(X4,join(complement(complement(X4)),X5)),complement(join(top,X5))) = X4,
inference(superposition,[],[f40,f437]) ).
fof(f13239,plain,
! [X15] : converse(X15) = join(converse(X15),complement(converse(complement(X15)))),
inference(superposition,[],[f13191,f23]) ).
fof(f13191,plain,
! [X53] : join(X53,complement(converse(complement(converse(X53))))) = X53,
inference(forward_demodulation,[],[f13092,f1422]) ).
fof(f13092,plain,
! [X53] : complement(complement(X53)) = join(X53,complement(converse(complement(converse(complement(complement(X53))))))),
inference(superposition,[],[f4371,f1939]) ).
fof(f4371,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(superposition,[],[f1457,f1422]) ).
fof(f117309,plain,
! [X136] : composition(X136,top) = join(X136,composition(X136,converse(complement(sK0)))),
inference(forward_demodulation,[],[f117308,f45]) ).
fof(f45,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f28,f23]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/tmp/tmp.2VVTrj7590/Vampire---4.8_18191',converse_multiplicativity) ).
fof(f117308,plain,
! [X136] : composition(X136,top) = join(X136,converse(composition(complement(sK0),converse(X136)))),
inference(forward_demodulation,[],[f117307,f1927]) ).
fof(f117307,plain,
! [X136] : join(X136,converse(composition(complement(sK0),converse(X136)))) = composition(X136,converse(top)),
inference(forward_demodulation,[],[f117137,f45]) ).
fof(f117137,plain,
! [X136] : join(X136,converse(composition(complement(sK0),converse(X136)))) = converse(composition(top,converse(X136))),
inference(superposition,[],[f47,f97285]) ).
fof(f97285,plain,
! [X70] : composition(top,X70) = join(X70,composition(complement(sK0),X70)),
inference(superposition,[],[f1597,f1881]) ).
fof(f1881,plain,
top = join(one,complement(sK0)),
inference(backward_demodulation,[],[f472,f1875]) ).
fof(f472,plain,
join(one,complement(sK0)) = join(one,top),
inference(superposition,[],[f442,f26]) ).
fof(f442,plain,
! [X14] : join(one,join(sK0,X14)) = join(one,X14),
inference(superposition,[],[f34,f41]) ).
fof(f41,plain,
one = join(one,sK0),
inference(superposition,[],[f27,f36]) ).
fof(f36,plain,
one = join(sK0,one),
inference(duplicate_literal_removal,[],[f19]) ).
fof(f19,plain,
( one = join(sK0,one)
| one = join(sK0,one) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( converse(sK0) != join(sK0,converse(sK0))
& one = join(sK0,one) )
| ( sK0 != join(converse(sK0),sK0)
& one = join(sK0,one) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
fof(f17,plain,
( ? [X0] :
( ( converse(X0) != join(X0,converse(X0))
& one = join(X0,one) )
| ( join(converse(X0),X0) != X0
& one = join(X0,one) ) )
=> ( ( converse(sK0) != join(sK0,converse(sK0))
& one = join(sK0,one) )
| ( sK0 != join(converse(sK0),sK0)
& one = join(sK0,one) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0] :
( ( converse(X0) != join(X0,converse(X0))
& one = join(X0,one) )
| ( join(converse(X0),X0) != X0
& one = join(X0,one) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( ( one = join(X0,one)
=> converse(X0) = join(X0,converse(X0)) )
& ( one = join(X0,one)
=> join(converse(X0),X0) = X0 ) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0] :
( ( one = join(X0,one)
=> converse(X0) = join(X0,converse(X0)) )
& ( one = join(X0,one)
=> join(converse(X0),X0) = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.2VVTrj7590/Vampire---4.8_18191',goals) ).
fof(f1597,plain,
! [X6,X7] : composition(join(one,X7),X6) = join(X6,composition(X7,X6)),
inference(superposition,[],[f35,f188]) ).
fof(f188,plain,
! [X2] : composition(one,X2) = X2,
inference(backward_demodulation,[],[f175,f183]) ).
fof(f183,plain,
one = converse(one),
inference(superposition,[],[f175,f24]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/tmp/tmp.2VVTrj7590/Vampire---4.8_18191',composition_identity) ).
fof(f175,plain,
! [X2] : composition(converse(one),X2) = X2,
inference(forward_demodulation,[],[f160,f23]) ).
fof(f160,plain,
! [X2] : composition(converse(one),X2) = converse(converse(X2)),
inference(superposition,[],[f46,f24]) ).
fof(f46,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f28,f23]) ).
fof(f35,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.2VVTrj7590/Vampire---4.8_18191',composition_distributivity) ).
fof(f97796,plain,
! [X11,X12] : join(X12,X11) = join(X11,join(X12,composition(sK0,X11))),
inference(superposition,[],[f461,f97580]) ).
fof(f97580,plain,
! [X134] : join(X134,composition(sK0,X134)) = X134,
inference(forward_demodulation,[],[f97315,f188]) ).
fof(f97315,plain,
! [X134] : join(X134,composition(sK0,X134)) = composition(one,X134),
inference(superposition,[],[f1597,f41]) ).
fof(f304683,plain,
complement(zero) = join(complement(converse(sK0)),composition(sK0,top)),
inference(superposition,[],[f4374,f304238]) ).
fof(f304238,plain,
zero = meet(converse(sK0),complement(composition(sK0,top))),
inference(superposition,[],[f8904,f304112]) ).
fof(f304112,plain,
composition(sK0,top) = converse(composition(top,sK0)),
inference(forward_demodulation,[],[f304111,f123265]) ).
fof(f123265,plain,
composition(join(sK0,converse(sK0)),top) = converse(composition(top,sK0)),
inference(forward_demodulation,[],[f123264,f1618]) ).
fof(f1618,plain,
! [X3,X4,X5] : composition(join(X3,X5),X4) = composition(join(X5,X3),X4),
inference(forward_demodulation,[],[f1603,f35]) ).
fof(f1603,plain,
! [X3,X4,X5] : join(composition(X5,X4),composition(X3,X4)) = composition(join(X3,X5),X4),
inference(superposition,[],[f35,f27]) ).
fof(f123264,plain,
converse(composition(top,sK0)) = composition(join(converse(sK0),sK0),top),
inference(forward_demodulation,[],[f123263,f3541]) ).
fof(f3541,plain,
! [X6,X7] : composition(join(converse(X6),X7),top) = join(converse(composition(top,X6)),composition(X7,top)),
inference(superposition,[],[f35,f1941]) ).
fof(f1941,plain,
! [X0] : converse(composition(top,X0)) = composition(converse(X0),top),
inference(superposition,[],[f28,f1927]) ).
fof(f123263,plain,
converse(composition(top,sK0)) = join(converse(composition(top,sK0)),composition(sK0,top)),
inference(forward_demodulation,[],[f123262,f846]) ).
fof(f123262,plain,
converse(composition(top,sK0)) = join(converse(composition(top,sK0)),composition(sK0,complement(zero))),
inference(forward_demodulation,[],[f123261,f1630]) ).
fof(f1630,plain,
zero = converse(zero),
inference(superposition,[],[f1553,f1318]) ).
fof(f1553,plain,
! [X10] : join(X10,converse(zero)) = X10,
inference(forward_demodulation,[],[f1548,f23]) ).
fof(f1548,plain,
! [X10] : converse(converse(X10)) = join(X10,converse(zero)),
inference(superposition,[],[f47,f1444]) ).
fof(f123261,plain,
converse(composition(top,sK0)) = join(converse(composition(top,sK0)),composition(sK0,complement(converse(zero)))),
inference(forward_demodulation,[],[f123260,f27]) ).
fof(f123260,plain,
converse(composition(top,sK0)) = join(composition(sK0,complement(converse(zero))),converse(composition(top,sK0))),
inference(forward_demodulation,[],[f123259,f1422]) ).
fof(f123259,plain,
complement(complement(converse(composition(top,sK0)))) = join(composition(sK0,complement(converse(zero))),complement(complement(converse(composition(top,sK0))))),
inference(forward_demodulation,[],[f123258,f13435]) ).
fof(f123258,plain,
complement(converse(complement(composition(top,sK0)))) = join(composition(sK0,complement(converse(zero))),complement(converse(complement(composition(top,sK0))))),
inference(forward_demodulation,[],[f123213,f27]) ).
fof(f123213,plain,
complement(converse(complement(composition(top,sK0)))) = join(complement(converse(complement(composition(top,sK0)))),composition(sK0,complement(converse(zero)))),
inference(superposition,[],[f2091,f122960]) ).
fof(f122960,plain,
zero = composition(complement(composition(top,sK0)),sK0),
inference(superposition,[],[f118293,f98908]) ).
fof(f98908,plain,
! [X19] : composition(X19,sK0) = meet(X19,composition(X19,sK0)),
inference(forward_demodulation,[],[f98789,f99]) ).
fof(f98789,plain,
! [X19] : composition(X19,sK0) = meet(composition(X19,sK0),X19),
inference(superposition,[],[f1976,f98758]) ).
fof(f98758,plain,
! [X133] : join(X133,composition(X133,sK0)) = X133,
inference(forward_demodulation,[],[f98757,f23]) ).
fof(f98757,plain,
! [X133] : converse(converse(X133)) = join(X133,composition(X133,sK0)),
inference(forward_demodulation,[],[f98756,f23]) ).
fof(f98756,plain,
! [X133] : converse(converse(X133)) = join(X133,composition(X133,converse(converse(sK0)))),
inference(forward_demodulation,[],[f98650,f45]) ).
fof(f98650,plain,
! [X133] : converse(converse(X133)) = join(X133,converse(composition(converse(sK0),converse(X133)))),
inference(superposition,[],[f47,f98339]) ).
fof(f98339,plain,
! [X120] : join(X120,composition(converse(sK0),X120)) = X120,
inference(forward_demodulation,[],[f98338,f188]) ).
fof(f98338,plain,
! [X120] : composition(one,X120) = join(X120,composition(converse(sK0),X120)),
inference(forward_demodulation,[],[f98337,f188]) ).
fof(f98337,plain,
! [X120] : composition(one,X120) = join(X120,composition(one,composition(converse(sK0),X120))),
inference(forward_demodulation,[],[f98239,f33]) ).
fof(f33,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.2VVTrj7590/Vampire---4.8_18191',composition_associativity) ).
fof(f98239,plain,
! [X120] : composition(one,X120) = join(X120,composition(composition(one,converse(sK0)),X120)),
inference(superposition,[],[f1597,f97988]) ).
fof(f97988,plain,
! [X133] : join(X133,composition(X133,converse(sK0))) = X133,
inference(forward_demodulation,[],[f97987,f45]) ).
fof(f97987,plain,
! [X133] : join(X133,converse(composition(sK0,converse(X133)))) = X133,
inference(forward_demodulation,[],[f97900,f23]) ).
fof(f97900,plain,
! [X133] : join(X133,converse(composition(sK0,converse(X133)))) = converse(converse(X133)),
inference(superposition,[],[f47,f97580]) ).
fof(f1976,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f1839,f27]) ).
fof(f118293,plain,
! [X16,X17] : zero = meet(complement(composition(top,X16)),composition(X17,X16)),
inference(forward_demodulation,[],[f118200,f98]) ).
fof(f118200,plain,
! [X16,X17] : complement(top) = meet(complement(composition(top,X16)),composition(X17,X16)),
inference(superposition,[],[f1463,f113340]) ).
fof(f113340,plain,
! [X46,X49] : top = join(composition(top,X49),complement(composition(X46,X49))),
inference(forward_demodulation,[],[f113052,f27]) ).
fof(f113052,plain,
! [X46,X49] : top = join(complement(composition(X46,X49)),composition(top,X49)),
inference(superposition,[],[f24175,f2099]) ).
fof(f2099,plain,
! [X6,X7,X5] : top = join(X7,join(X5,join(X6,complement(X7)))),
inference(superposition,[],[f1908,f34]) ).
fof(f1908,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(backward_demodulation,[],[f514,f1895]) ).
fof(f24175,plain,
! [X104,X105,X103] : top = join(complement(composition(X103,X104)),composition(join(X103,X105),X104)),
inference(forward_demodulation,[],[f24174,f24149]) ).
fof(f24149,plain,
! [X24,X22,X25,X23] : join(composition(join(X25,X22),X23),X24) = join(X24,composition(join(X22,X25),X23)),
inference(forward_demodulation,[],[f23977,f2578]) ).
fof(f2578,plain,
! [X41,X44,X42,X43] : join(composition(X43,X42),join(X44,composition(X41,X42))) = join(X44,composition(join(X41,X43),X42)),
inference(superposition,[],[f451,f35]) ).
fof(f451,plain,
! [X6,X7,X5] : join(X5,join(X6,X7)) = join(X7,join(X5,X6)),
inference(superposition,[],[f34,f27]) ).
fof(f23977,plain,
! [X24,X22,X25,X23] : join(composition(join(X25,X22),X23),X24) = join(composition(X25,X23),join(X24,composition(X22,X23))),
inference(superposition,[],[f1606,f27]) ).
fof(f1606,plain,
! [X3,X6,X4,X5] : join(composition(X3,X4),join(composition(X5,X4),X6)) = join(composition(join(X3,X5),X4),X6),
inference(superposition,[],[f34,f35]) ).
fof(f24174,plain,
! [X104,X105,X103] : top = join(composition(join(X105,X103),X104),complement(composition(X103,X104))),
inference(forward_demodulation,[],[f23995,f1875]) ).
fof(f23995,plain,
! [X104,X105,X103] : join(composition(join(X105,X103),X104),complement(composition(X103,X104))) = join(composition(X105,X104),top),
inference(superposition,[],[f1606,f26]) ).
fof(f2091,plain,
! [X6,X5] : complement(converse(X6)) = join(complement(converse(X6)),composition(X5,complement(converse(composition(X6,X5))))),
inference(forward_demodulation,[],[f2072,f23]) ).
fof(f2072,plain,
! [X6,X5] : complement(converse(X6)) = join(complement(converse(X6)),composition(converse(converse(X5)),complement(converse(composition(X6,X5))))),
inference(superposition,[],[f37,f28]) ).
fof(f37,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f31,f27]) ).
fof(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox/tmp/tmp.2VVTrj7590/Vampire---4.8_18191',converse_cancellativity) ).
fof(f304111,plain,
composition(sK0,top) = composition(join(sK0,converse(sK0)),top),
inference(forward_demodulation,[],[f304110,f35]) ).
fof(f304110,plain,
composition(sK0,top) = join(composition(sK0,top),composition(converse(sK0),top)),
inference(forward_demodulation,[],[f304035,f846]) ).
fof(f304035,plain,
composition(sK0,top) = join(composition(sK0,top),composition(converse(sK0),complement(zero))),
inference(superposition,[],[f2055,f303573]) ).
fof(f303573,plain,
zero = composition(sK0,complement(composition(sK0,top))),
inference(superposition,[],[f303306,f97918]) ).
fof(f97918,plain,
! [X20] : composition(sK0,X20) = meet(X20,composition(sK0,X20)),
inference(forward_demodulation,[],[f97799,f99]) ).
fof(f97799,plain,
! [X20] : composition(sK0,X20) = meet(composition(sK0,X20),X20),
inference(superposition,[],[f1976,f97580]) ).
fof(f303306,plain,
! [X26,X27] : zero = meet(complement(composition(X26,top)),composition(X26,X27)),
inference(forward_demodulation,[],[f303138,f98]) ).
fof(f303138,plain,
! [X26,X27] : complement(top) = meet(complement(composition(X26,top)),composition(X26,X27)),
inference(superposition,[],[f1463,f302884]) ).
fof(f302884,plain,
! [X42,X43] : top = join(composition(X42,top),complement(composition(X42,X43))),
inference(forward_demodulation,[],[f302632,f1927]) ).
fof(f302632,plain,
! [X42,X43] : converse(top) = join(composition(X42,top),complement(composition(X42,X43))),
inference(superposition,[],[f23,f118284]) ).
fof(f118284,plain,
! [X18,X19] : top = converse(join(composition(X19,top),complement(composition(X19,X18)))),
inference(forward_demodulation,[],[f118283,f13662]) ).
fof(f13662,plain,
! [X8,X7] : converse(join(X8,complement(X7))) = join(converse(X8),complement(converse(X7))),
inference(superposition,[],[f29,f13435]) ).
fof(f118283,plain,
! [X18,X19] : top = join(converse(composition(X19,top)),complement(converse(composition(X19,X18)))),
inference(forward_demodulation,[],[f118181,f1942]) ).
fof(f1942,plain,
! [X1] : converse(composition(X1,top)) = composition(top,converse(X1)),
inference(superposition,[],[f28,f1927]) ).
fof(f118181,plain,
! [X18,X19] : top = join(composition(top,converse(X19)),complement(converse(composition(X19,X18)))),
inference(superposition,[],[f113340,f28]) ).
fof(f2055,plain,
! [X0,X1] : join(X0,composition(converse(X1),complement(composition(X1,complement(X0))))) = X0,
inference(superposition,[],[f37,f1422]) ).
fof(f8904,plain,
! [X6] : zero = meet(converse(X6),complement(converse(composition(top,X6)))),
inference(superposition,[],[f8765,f1941]) ).
fof(f8765,plain,
! [X26] : zero = meet(X26,complement(composition(X26,top))),
inference(superposition,[],[f5342,f8630]) ).
fof(f8630,plain,
! [X34] : composition(X34,top) = join(X34,composition(X34,top)),
inference(forward_demodulation,[],[f8629,f1927]) ).
fof(f8629,plain,
! [X34] : composition(X34,converse(top)) = join(X34,composition(X34,converse(top))),
inference(forward_demodulation,[],[f8604,f45]) ).
fof(f8604,plain,
! [X34] : converse(composition(top,converse(X34))) = join(X34,converse(composition(top,converse(X34)))),
inference(superposition,[],[f47,f7122]) ).
fof(f7122,plain,
! [X29] : composition(top,X29) = join(X29,composition(top,X29)),
inference(forward_demodulation,[],[f7056,f27]) ).
fof(f7056,plain,
! [X29] : composition(top,X29) = join(composition(top,X29),X29),
inference(superposition,[],[f6888,f3929]) ).
fof(f3929,plain,
! [X6] : meet(X6,composition(top,X6)) = X6,
inference(forward_demodulation,[],[f3917,f1422]) ).
fof(f3917,plain,
! [X6] : complement(complement(X6)) = meet(X6,composition(top,X6)),
inference(superposition,[],[f1422,f3897]) ).
fof(f3897,plain,
! [X22] : complement(X22) = complement(meet(X22,composition(top,X22))),
inference(forward_demodulation,[],[f3896,f1457]) ).
fof(f3896,plain,
! [X22] : complement(X22) = join(complement(X22),complement(composition(top,X22))),
inference(backward_demodulation,[],[f2067,f3895]) ).
fof(f3895,plain,
! [X1] : complement(composition(top,X1)) = composition(top,complement(composition(top,X1))),
inference(forward_demodulation,[],[f3894,f1927]) ).
fof(f3894,plain,
! [X1] : complement(composition(top,X1)) = composition(converse(top),complement(composition(top,X1))),
inference(forward_demodulation,[],[f3893,f1875]) ).
fof(f3893,plain,
! [X1] : complement(composition(top,X1)) = composition(converse(join(one,top)),complement(composition(top,X1))),
inference(forward_demodulation,[],[f3892,f202]) ).
fof(f202,plain,
! [X2] : converse(join(one,X2)) = join(one,converse(X2)),
inference(superposition,[],[f29,f183]) ).
fof(f3892,plain,
! [X1] : complement(composition(top,X1)) = composition(join(one,converse(top)),complement(composition(top,X1))),
inference(forward_demodulation,[],[f3884,f1597]) ).
fof(f3884,plain,
! [X1] : complement(composition(top,X1)) = join(complement(composition(top,X1)),composition(converse(top),complement(composition(top,X1)))),
inference(superposition,[],[f37,f2505]) ).
fof(f2505,plain,
! [X2] : composition(top,X2) = composition(top,composition(top,X2)),
inference(superposition,[],[f33,f2484]) ).
fof(f2484,plain,
top = composition(top,top),
inference(forward_demodulation,[],[f2477,f1444]) ).
fof(f2477,plain,
top = join(composition(top,top),zero),
inference(superposition,[],[f26,f2398]) ).
fof(f2398,plain,
zero = complement(composition(top,top)),
inference(superposition,[],[f2381,f188]) ).
fof(f2381,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f2380,f2335]) ).
fof(f2335,plain,
zero = composition(top,complement(composition(top,top))),
inference(superposition,[],[f2078,f1927]) ).
fof(f2078,plain,
! [X2] : zero = composition(converse(X2),complement(composition(X2,top))),
inference(forward_demodulation,[],[f2056,f1318]) ).
fof(f2056,plain,
! [X2] : zero = join(zero,composition(converse(X2),complement(composition(X2,top)))),
inference(superposition,[],[f37,f98]) ).
fof(f2380,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f2379,f1875]) ).
fof(f2379,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f2371,f1444]) ).
fof(f2371,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(superposition,[],[f35,f2335]) ).
fof(f2067,plain,
! [X22] : complement(X22) = join(complement(X22),composition(top,complement(composition(top,X22)))),
inference(superposition,[],[f37,f1927]) ).
fof(f5342,plain,
! [X6,X5] : zero = meet(X5,complement(join(X5,X6))),
inference(forward_demodulation,[],[f5300,f99]) ).
fof(f5300,plain,
! [X6,X5] : zero = meet(complement(join(X5,X6)),X5),
inference(superposition,[],[f5144,f1839]) ).
fof(f5144,plain,
! [X2,X1] : zero = meet(complement(X1),meet(X2,X1)),
inference(superposition,[],[f4957,f99]) ).
fof(f4957,plain,
! [X0,X1] : zero = meet(complement(X0),meet(X0,X1)),
inference(superposition,[],[f4926,f1422]) ).
fof(f4926,plain,
! [X10,X9] : zero = meet(X9,meet(complement(X9),X10)),
inference(forward_demodulation,[],[f4925,f1509]) ).
fof(f4925,plain,
! [X10,X9] : zero = meet(top,meet(X9,meet(complement(X9),X10))),
inference(forward_demodulation,[],[f4886,f99]) ).
fof(f4886,plain,
! [X10,X9] : zero = meet(meet(X9,meet(complement(X9),X10)),top),
inference(superposition,[],[f25,f4458]) ).
fof(f4458,plain,
! [X10,X9] : top = complement(meet(X9,meet(complement(X9),X10))),
inference(superposition,[],[f4380,f1457]) ).
fof(f4380,plain,
! [X0,X1] : top = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f1907,f1457]) ).
fof(f1907,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f437,f1895]) ).
fof(f4374,plain,
! [X0,X1] : join(complement(X1),X0) = complement(meet(X1,complement(X0))),
inference(superposition,[],[f1457,f1422]) ).
fof(f101334,plain,
! [X56,X57] : meet(join(X56,X57),join(X56,complement(X57))) = X56,
inference(forward_demodulation,[],[f100847,f1422]) ).
fof(f100847,plain,
! [X56,X57] : complement(complement(X56)) = meet(join(X56,X57),join(X56,complement(X57))),
inference(superposition,[],[f1422,f6312]) ).
fof(f6312,plain,
! [X6,X7] : complement(X6) = complement(meet(join(X6,X7),join(X6,complement(X7)))),
inference(backward_demodulation,[],[f1503,f6254]) ).
fof(f6254,plain,
! [X31,X32,X30] : complement(meet(X32,join(X30,complement(X31)))) = join(complement(X32),meet(complement(X30),X31)),
inference(superposition,[],[f1457,f1463]) ).
fof(f1503,plain,
! [X6,X7] : complement(X6) = join(complement(join(X6,X7)),meet(complement(X6),X7)),
inference(forward_demodulation,[],[f1465,f27]) ).
fof(f1465,plain,
! [X6,X7] : complement(X6) = join(meet(complement(X6),X7),complement(join(X6,X7))),
inference(superposition,[],[f40,f1422]) ).
fof(f307302,plain,
converse(sK0) = join(sK0,converse(sK0)),
inference(forward_demodulation,[],[f307220,f27]) ).
fof(f307220,plain,
converse(sK0) = join(converse(sK0),sK0),
inference(superposition,[],[f48,f307020]) ).
fof(f48,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f29,f23]) ).
fof(f6780,plain,
sK0 != converse(sK0),
inference(trivial_inequality_removal,[],[f6779]) ).
fof(f6779,plain,
( sK0 != sK0
| sK0 != converse(sK0) ),
inference(backward_demodulation,[],[f977,f6771]) ).
fof(f6771,plain,
! [X15] : join(X15,X15) = X15,
inference(forward_demodulation,[],[f6743,f1422]) ).
fof(f6743,plain,
! [X15] : complement(complement(X15)) = join(X15,X15),
inference(superposition,[],[f1422,f6600]) ).
fof(f6600,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(superposition,[],[f6270,f1357]) ).
fof(f977,plain,
( sK0 != converse(sK0)
| sK0 != join(sK0,sK0) ),
inference(inner_rewriting,[],[f976]) ).
fof(f976,plain,
( sK0 != join(sK0,converse(sK0))
| sK0 != converse(sK0) ),
inference(inner_rewriting,[],[f974]) ).
fof(f974,plain,
( sK0 != join(sK0,converse(sK0))
| converse(sK0) != join(sK0,converse(sK0)) ),
inference(superposition,[],[f22,f27]) ).
fof(f22,plain,
( sK0 != join(converse(sK0),sK0)
| converse(sK0) != join(sK0,converse(sK0)) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : REL025+2 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n004.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri Aug 25 22:26:52 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_PEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.2VVTrj7590/Vampire---4.8_18191
% 0.15/0.37 % (18299)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (18302)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.23/0.43 % (18303)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.23/0.43 % (18301)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.23/0.43 % (18305)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.23/0.43 % (18304)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.23/0.43 % (18300)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.23/0.43 % (18306)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 27.12/4.25 % (18303)First to succeed.
% 27.12/4.27 % (18303)Refutation found. Thanks to Tanya!
% 27.12/4.27 % SZS status Theorem for Vampire---4
% 27.12/4.27 % SZS output start Proof for Vampire---4
% See solution above
% 27.12/4.27 % (18303)------------------------------
% 27.12/4.27 % (18303)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 27.12/4.27 % (18303)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 27.12/4.27 % (18303)Termination reason: Refutation
% 27.12/4.27
% 27.12/4.27 % (18303)Memory used [KB]: 162598
% 27.12/4.27 % (18303)Time elapsed: 3.813 s
% 27.12/4.27 % (18303)------------------------------
% 27.12/4.27 % (18303)------------------------------
% 27.12/4.27 % (18299)Success in time 3.884 s
% 27.12/4.27 % Vampire---4.8 exiting
%------------------------------------------------------------------------------