TSTP Solution File: REL018+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : REL018+1 : 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 : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:44:59 EDT 2023
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 73
% Number of leaves : 15
% Syntax : Number of formulae : 218 ( 213 unt; 0 def)
% Number of atoms : 225 ( 224 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 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 : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 247 (; 245 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6348,plain,
$false,
inference(trivial_inequality_removal,[],[f6342]) ).
fof(f6342,plain,
complement(sK0) != complement(sK0),
inference(backward_demodulation,[],[f20,f6341]) ).
fof(f6341,plain,
complement(sK0) = composition(complement(sK0),top),
inference(backward_demodulation,[],[f1883,f6340]) ).
fof(f6340,plain,
! [X29] : composition(X29,top) = join(X29,composition(X29,top)),
inference(forward_demodulation,[],[f6339,f1810]) ).
fof(f1810,plain,
top = converse(top),
inference(forward_demodulation,[],[f1805,f1745]) ).
fof(f1745,plain,
! [X7] : top = join(X7,converse(top)),
inference(backward_demodulation,[],[f518,f1735]) ).
fof(f1735,plain,
! [X2] : top = join(top,X2),
inference(forward_demodulation,[],[f1734,f1232]) ).
fof(f1232,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f1033,f640]) ).
fof(f640,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f620,f28]) ).
fof(f28,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/sandbox2/tmp/tmp.CshSzF12xN/Vampire---4.8_25259',maddux4_definiton_of_meet) ).
fof(f620,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f37,f23]) ).
fof(f23,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/tmp/tmp.CshSzF12xN/Vampire---4.8_25259',def_zero) ).
fof(f37,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f36,f25]) ).
fof(f25,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/sandbox2/tmp/tmp.CshSzF12xN/Vampire---4.8_25259',maddux1_join_commutativity) ).
fof(f36,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f35,f28]) ).
fof(f35,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f30,f25]) ).
fof(f30,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/sandbox2/tmp/tmp.CshSzF12xN/Vampire---4.8_25259',maddux3_a_kind_of_de_Morgan) ).
fof(f1033,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f32,f949]) ).
fof(f949,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f947,f640]) ).
fof(f947,plain,
join(zero,zero) = join(zero,meet(zero,zero)),
inference(backward_demodulation,[],[f943,f923]) ).
fof(f923,plain,
complement(join(top,top)) = meet(zero,zero),
inference(superposition,[],[f795,f786]) ).
fof(f786,plain,
top = complement(zero),
inference(forward_demodulation,[],[f785,f690]) ).
fof(f690,plain,
top = join(zero,meet(top,complement(zero))),
inference(superposition,[],[f666,f89]) ).
fof(f89,plain,
zero = complement(top),
inference(forward_demodulation,[],[f84,f23]) ).
fof(f84,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f28,f24]) ).
fof(f24,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/tmp/tmp.CshSzF12xN/Vampire---4.8_25259',def_top) ).
fof(f666,plain,
! [X8] : join(zero,meet(X8,complement(complement(X8)))) = X8,
inference(forward_demodulation,[],[f665,f89]) ).
fof(f665,plain,
! [X8] : join(complement(top),meet(X8,complement(complement(X8)))) = X8,
inference(forward_demodulation,[],[f635,f25]) ).
fof(f635,plain,
! [X8] : join(meet(X8,complement(complement(X8))),complement(top)) = X8,
inference(superposition,[],[f37,f24]) ).
fof(f785,plain,
complement(zero) = join(zero,meet(top,complement(zero))),
inference(forward_demodulation,[],[f784,f90]) ).
fof(f90,plain,
! [X2,X1] : meet(X1,X2) = meet(X2,X1),
inference(forward_demodulation,[],[f85,f28]) ).
fof(f85,plain,
! [X2,X1] : meet(X1,X2) = complement(join(complement(X2),complement(X1))),
inference(superposition,[],[f28,f25]) ).
fof(f784,plain,
complement(zero) = join(zero,meet(complement(zero),top)),
inference(forward_demodulation,[],[f773,f25]) ).
fof(f773,plain,
complement(zero) = join(meet(complement(zero),top),zero),
inference(superposition,[],[f739,f23]) ).
fof(f739,plain,
! [X0] : join(meet(X0,top),meet(zero,X0)) = X0,
inference(superposition,[],[f721,f90]) ).
fof(f721,plain,
! [X6] : join(meet(X6,top),meet(X6,zero)) = X6,
inference(superposition,[],[f668,f89]) ).
fof(f668,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(forward_demodulation,[],[f637,f25]) ).
fof(f637,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f37,f28]) ).
fof(f795,plain,
! [X0] : meet(zero,X0) = complement(join(top,complement(X0))),
inference(superposition,[],[f28,f786]) ).
fof(f943,plain,
join(zero,zero) = join(zero,complement(join(top,top))),
inference(backward_demodulation,[],[f764,f942]) ).
fof(f942,plain,
complement(join(top,top)) = meet(zero,join(zero,zero)),
inference(forward_demodulation,[],[f921,f672]) ).
fof(f672,plain,
! [X0] : join(top,X0) = join(top,meet(X0,X0)),
inference(superposition,[],[f464,f640]) ).
fof(f464,plain,
! [X23] : join(top,join(zero,X23)) = join(top,X23),
inference(superposition,[],[f32,f99]) ).
fof(f99,plain,
top = join(top,zero),
inference(superposition,[],[f24,f89]) ).
fof(f921,plain,
complement(join(top,meet(top,top))) = meet(zero,join(zero,zero)),
inference(superposition,[],[f795,f105]) ).
fof(f105,plain,
meet(top,top) = complement(join(zero,zero)),
inference(superposition,[],[f101,f89]) ).
fof(f101,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f97,f25]) ).
fof(f97,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f28,f89]) ).
fof(f764,plain,
join(zero,zero) = join(zero,meet(zero,join(zero,zero))),
inference(forward_demodulation,[],[f749,f90]) ).
fof(f749,plain,
join(zero,zero) = join(zero,meet(join(zero,zero),zero)),
inference(superposition,[],[f737,f645]) ).
fof(f645,plain,
zero = meet(top,join(zero,zero)),
inference(forward_demodulation,[],[f643,f89]) ).
fof(f643,plain,
complement(top) = meet(top,join(zero,zero)),
inference(backward_demodulation,[],[f123,f640]) ).
fof(f123,plain,
complement(join(zero,meet(top,top))) = meet(top,join(zero,zero)),
inference(forward_demodulation,[],[f118,f90]) ).
fof(f118,plain,
meet(join(zero,zero),top) = complement(join(zero,meet(top,top))),
inference(superposition,[],[f101,f105]) ).
fof(f737,plain,
! [X0] : join(meet(top,X0),meet(X0,zero)) = X0,
inference(superposition,[],[f721,f90]) ).
fof(f32,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/sandbox2/tmp/tmp.CshSzF12xN/Vampire---4.8_25259',maddux2_join_associativity) ).
fof(f1734,plain,
! [X2] : top = join(top,join(zero,X2)),
inference(forward_demodulation,[],[f1733,f467]) ).
fof(f467,plain,
! [X6,X7,X5] : join(X5,join(X6,X7)) = join(X7,join(X5,X6)),
inference(superposition,[],[f32,f25]) ).
fof(f1733,plain,
! [X2] : top = join(zero,join(X2,top)),
inference(forward_demodulation,[],[f1724,f25]) ).
fof(f1724,plain,
! [X2] : top = join(join(X2,top),zero),
inference(superposition,[],[f24,f1669]) ).
fof(f1669,plain,
! [X12] : zero = complement(join(X12,top)),
inference(backward_demodulation,[],[f1421,f1668]) ).
fof(f1668,plain,
! [X2] : zero = complement(join(top,X2)),
inference(forward_demodulation,[],[f1667,f1100]) ).
fof(f1100,plain,
! [X3] : join(top,X3) = join(top,join(top,X3)),
inference(forward_demodulation,[],[f1099,f507]) ).
fof(f507,plain,
! [X0,X1] : join(top,join(X0,X1)) = join(top,join(X0,join(zero,X1))),
inference(forward_demodulation,[],[f506,f32]) ).
fof(f506,plain,
! [X0,X1] : join(join(top,X0),X1) = join(top,join(X0,join(zero,X1))),
inference(forward_demodulation,[],[f505,f32]) ).
fof(f505,plain,
! [X0,X1] : join(join(top,X0),X1) = join(top,join(join(X0,zero),X1)),
inference(superposition,[],[f32,f493]) ).
fof(f493,plain,
! [X0] : join(top,X0) = join(top,join(X0,zero)),
inference(superposition,[],[f464,f25]) ).
fof(f1099,plain,
! [X3] : join(top,X3) = join(top,join(top,join(zero,X3))),
inference(forward_demodulation,[],[f1098,f708]) ).
fof(f708,plain,
! [X2,X1] : join(top,join(X1,X2)) = join(top,join(meet(X1,X1),X2)),
inference(forward_demodulation,[],[f707,f32]) ).
fof(f707,plain,
! [X2,X1] : join(join(top,X1),X2) = join(top,join(meet(X1,X1),X2)),
inference(superposition,[],[f32,f672]) ).
fof(f1098,plain,
! [X3] : join(top,X3) = join(top,join(top,join(meet(zero,zero),X3))),
inference(forward_demodulation,[],[f1047,f32]) ).
fof(f1047,plain,
! [X3] : join(top,X3) = join(join(top,top),join(meet(zero,zero),X3)),
inference(superposition,[],[f455,f923]) ).
fof(f455,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f32,f24]) ).
fof(f1667,plain,
! [X2] : zero = complement(join(top,join(top,X2))),
inference(forward_demodulation,[],[f1666,f1421]) ).
fof(f1666,plain,
! [X2] : zero = complement(join(join(top,X2),top)),
inference(forward_demodulation,[],[f1665,f924]) ).
fof(f924,plain,
! [X0] : meet(zero,complement(X0)) = complement(join(X0,top)),
inference(superposition,[],[f795,f517]) ).
fof(f517,plain,
! [X6] : join(top,complement(complement(X6))) = join(X6,top),
inference(superposition,[],[f455,f24]) ).
fof(f1665,plain,
! [X2] : zero = meet(zero,complement(join(top,X2))),
inference(forward_demodulation,[],[f1664,f1232]) ).
fof(f1664,plain,
! [X2] : zero = join(zero,meet(zero,complement(join(top,X2)))),
inference(superposition,[],[f668,f1637]) ).
fof(f1637,plain,
! [X0] : zero = meet(zero,join(top,X0)),
inference(superposition,[],[f1625,f25]) ).
fof(f1625,plain,
! [X0] : zero = meet(zero,join(X0,top)),
inference(forward_demodulation,[],[f1624,f1424]) ).
fof(f1424,plain,
! [X1] : meet(top,X1) = X1,
inference(superposition,[],[f1342,f90]) ).
fof(f1342,plain,
! [X0] : meet(X0,top) = X0,
inference(backward_demodulation,[],[f1260,f1340]) ).
fof(f1340,plain,
! [X8] : complement(complement(X8)) = X8,
inference(forward_demodulation,[],[f1275,f1295]) ).
fof(f1295,plain,
! [X5] : complement(complement(X5)) = meet(X5,complement(complement(X5))),
inference(backward_demodulation,[],[f1282,f1260]) ).
fof(f1282,plain,
! [X5] : meet(X5,top) = meet(X5,meet(X5,top)),
inference(forward_demodulation,[],[f1281,f28]) ).
fof(f1281,plain,
! [X5] : meet(X5,top) = complement(join(complement(X5),complement(meet(X5,top)))),
inference(forward_demodulation,[],[f1256,f1232]) ).
fof(f1256,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(complement(X5),complement(meet(X5,top))))),
inference(backward_demodulation,[],[f654,f1232]) ).
fof(f654,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(zero,join(complement(X5),complement(meet(X5,top)))))),
inference(forward_demodulation,[],[f653,f25]) ).
fof(f653,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(zero,join(complement(meet(X5,top)),complement(X5))))),
inference(forward_demodulation,[],[f624,f477]) ).
fof(f477,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(X3,join(X2,X4)),
inference(forward_demodulation,[],[f456,f32]) ).
fof(f456,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(join(X3,X2),X4),
inference(superposition,[],[f32,f25]) ).
fof(f624,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(complement(meet(X5,top)),join(zero,complement(X5))))),
inference(superposition,[],[f37,f117]) ).
fof(f117,plain,
! [X5] : zero = meet(meet(X5,top),join(zero,complement(X5))),
inference(forward_demodulation,[],[f110,f90]) ).
fof(f110,plain,
! [X5] : zero = meet(join(zero,complement(X5)),meet(X5,top)),
inference(superposition,[],[f23,f101]) ).
fof(f1275,plain,
! [X8] : meet(X8,complement(complement(X8))) = X8,
inference(backward_demodulation,[],[f666,f1232]) ).
fof(f1260,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(backward_demodulation,[],[f101,f1232]) ).
fof(f1624,plain,
! [X0] : zero = meet(top,meet(zero,join(X0,top))),
inference(forward_demodulation,[],[f1614,f90]) ).
fof(f1614,plain,
! [X0] : zero = meet(meet(zero,join(X0,top)),top),
inference(superposition,[],[f23,f1607]) ).
fof(f1607,plain,
! [X0] : top = complement(meet(zero,join(X0,top))),
inference(forward_demodulation,[],[f1599,f1403]) ).
fof(f1403,plain,
! [X17] : join(top,complement(X17)) = complement(meet(zero,X17)),
inference(forward_demodulation,[],[f1399,f1273]) ).
fof(f1273,plain,
! [X0] : meet(X0,X0) = X0,
inference(backward_demodulation,[],[f640,f1232]) ).
fof(f1399,plain,
! [X17] : join(top,complement(X17)) = meet(complement(meet(zero,X17)),complement(meet(zero,X17))),
inference(backward_demodulation,[],[f1276,f1397]) ).
fof(f1397,plain,
! [X6,X5] : meet(X6,join(top,complement(X5))) = meet(X6,complement(meet(zero,X5))),
inference(backward_demodulation,[],[f930,f1389]) ).
fof(f1389,plain,
! [X2,X0,X1] : complement(join(complement(X2),meet(X0,X1))) = meet(X2,complement(meet(X0,X1))),
inference(backward_demodulation,[],[f83,f1374]) ).
fof(f1374,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(superposition,[],[f1340,f28]) ).
fof(f83,plain,
! [X2,X0,X1] : meet(X2,join(complement(X0),complement(X1))) = complement(join(complement(X2),meet(X0,X1))),
inference(superposition,[],[f28,f28]) ).
fof(f930,plain,
! [X6,X5] : meet(X6,join(top,complement(X5))) = complement(join(complement(X6),meet(zero,X5))),
inference(superposition,[],[f28,f795]) ).
fof(f1276,plain,
! [X17] : join(top,complement(X17)) = meet(complement(meet(zero,X17)),join(top,complement(X17))),
inference(backward_demodulation,[],[f994,f1232]) ).
fof(f994,plain,
! [X17] : join(top,complement(X17)) = join(zero,meet(complement(meet(zero,X17)),join(top,complement(X17)))),
inference(forward_demodulation,[],[f939,f90]) ).
fof(f939,plain,
! [X17] : join(top,complement(X17)) = join(zero,meet(join(top,complement(X17)),complement(meet(zero,X17)))),
inference(superposition,[],[f666,f795]) ).
fof(f1599,plain,
! [X0] : top = join(top,complement(join(X0,top))),
inference(superposition,[],[f1589,f924]) ).
fof(f1589,plain,
! [X0] : top = join(top,meet(zero,X0)),
inference(forward_demodulation,[],[f1582,f514]) ).
fof(f514,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f455,f25]) ).
fof(f1582,plain,
! [X0] : top = join(X0,join(meet(zero,X0),complement(X0))),
inference(superposition,[],[f466,f1310]) ).
fof(f1310,plain,
! [X0] : join(X0,meet(zero,X0)) = X0,
inference(backward_demodulation,[],[f1287,f1302]) ).
fof(f1302,plain,
! [X2,X3] : join(X2,X3) = join(complement(complement(X2)),X3),
inference(backward_demodulation,[],[f1259,f1295]) ).
fof(f1259,plain,
! [X2,X3] : join(X2,X3) = join(meet(X2,complement(complement(X2))),X3),
inference(backward_demodulation,[],[f693,f1232]) ).
fof(f693,plain,
! [X2,X3] : join(X2,X3) = join(zero,join(meet(X2,complement(complement(X2))),X3)),
inference(superposition,[],[f32,f666]) ).
fof(f1287,plain,
! [X0] : join(complement(complement(X0)),meet(zero,X0)) = X0,
inference(backward_demodulation,[],[f739,f1260]) ).
fof(f466,plain,
! [X3,X4] : top = join(X3,join(X4,complement(join(X3,X4)))),
inference(superposition,[],[f32,f24]) ).
fof(f1421,plain,
! [X12] : complement(join(top,X12)) = complement(join(X12,top)),
inference(forward_demodulation,[],[f1385,f924]) ).
fof(f1385,plain,
! [X12] : meet(zero,complement(X12)) = complement(join(top,X12)),
inference(superposition,[],[f795,f1340]) ).
fof(f518,plain,
! [X7] : join(top,converse(complement(converse(complement(X7))))) = join(X7,converse(top)),
inference(superposition,[],[f455,f242]) ).
fof(f242,plain,
! [X2] : join(X2,converse(complement(converse(X2)))) = converse(top),
inference(superposition,[],[f40,f24]) ).
fof(f40,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f27,f21]) ).
fof(f21,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.CshSzF12xN/Vampire---4.8_25259',converse_idempotence) ).
fof(f27,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/sandbox2/tmp/tmp.CshSzF12xN/Vampire---4.8_25259',converse_additivity) ).
fof(f1805,plain,
! [X9] : converse(top) = join(X9,converse(top)),
inference(superposition,[],[f40,f1728]) ).
fof(f1728,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f1722,f1361]) ).
fof(f1361,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f1352,f23]) ).
fof(f1352,plain,
! [X0] : join(X0,meet(X0,complement(X0))) = X0,
inference(superposition,[],[f668,f1273]) ).
fof(f1722,plain,
! [X0] : top = join(X0,join(top,zero)),
inference(superposition,[],[f466,f1669]) ).
fof(f6339,plain,
! [X29] : composition(X29,converse(top)) = join(X29,composition(X29,converse(top))),
inference(forward_demodulation,[],[f6319,f38]) ).
fof(f38,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f26,f21]) ).
fof(f26,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/sandbox2/tmp/tmp.CshSzF12xN/Vampire---4.8_25259',converse_multiplicativity) ).
fof(f6319,plain,
! [X29] : converse(composition(top,converse(X29))) = join(X29,converse(composition(top,converse(X29)))),
inference(superposition,[],[f40,f5698]) ).
fof(f5698,plain,
! [X29] : composition(top,X29) = join(X29,composition(top,X29)),
inference(forward_demodulation,[],[f5655,f25]) ).
fof(f5655,plain,
! [X29] : composition(top,X29) = join(composition(top,X29),X29),
inference(superposition,[],[f5573,f3046]) ).
fof(f3046,plain,
! [X6] : meet(X6,composition(top,X6)) = X6,
inference(forward_demodulation,[],[f3034,f1340]) ).
fof(f3034,plain,
! [X6] : complement(complement(X6)) = meet(X6,composition(top,X6)),
inference(superposition,[],[f1340,f3014]) ).
fof(f3014,plain,
! [X4] : complement(X4) = complement(meet(X4,composition(top,X4))),
inference(forward_demodulation,[],[f3013,f1374]) ).
fof(f3013,plain,
! [X4] : complement(X4) = join(complement(X4),complement(composition(top,X4))),
inference(backward_demodulation,[],[f1827,f3012]) ).
fof(f3012,plain,
! [X2] : complement(composition(top,X2)) = composition(top,complement(composition(top,X2))),
inference(forward_demodulation,[],[f3011,f1810]) ).
fof(f3011,plain,
! [X2] : complement(composition(top,X2)) = composition(converse(top),complement(composition(top,X2))),
inference(forward_demodulation,[],[f3010,f1728]) ).
fof(f3010,plain,
! [X2] : complement(composition(top,X2)) = composition(converse(join(one,top)),complement(composition(top,X2))),
inference(forward_demodulation,[],[f3009,f194]) ).
fof(f194,plain,
! [X2] : converse(join(one,X2)) = join(one,converse(X2)),
inference(superposition,[],[f27,f174]) ).
fof(f174,plain,
one = converse(one),
inference(superposition,[],[f166,f22]) ).
fof(f22,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.CshSzF12xN/Vampire---4.8_25259',composition_identity) ).
fof(f166,plain,
! [X2] : composition(converse(one),X2) = X2,
inference(forward_demodulation,[],[f151,f21]) ).
fof(f151,plain,
! [X2] : composition(converse(one),X2) = converse(converse(X2)),
inference(superposition,[],[f39,f22]) ).
fof(f39,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f26,f21]) ).
fof(f3009,plain,
! [X2] : complement(composition(top,X2)) = composition(join(one,converse(top)),complement(composition(top,X2))),
inference(forward_demodulation,[],[f3001,f1151]) ).
fof(f1151,plain,
! [X6,X7] : composition(join(one,X7),X6) = join(X6,composition(X7,X6)),
inference(superposition,[],[f33,f179]) ).
fof(f179,plain,
! [X2] : composition(one,X2) = X2,
inference(backward_demodulation,[],[f166,f174]) ).
fof(f33,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/sandbox2/tmp/tmp.CshSzF12xN/Vampire---4.8_25259',composition_distributivity) ).
fof(f3001,plain,
! [X2] : complement(composition(top,X2)) = join(complement(composition(top,X2)),composition(converse(top),complement(composition(top,X2)))),
inference(superposition,[],[f34,f2313]) ).
fof(f2313,plain,
! [X2] : composition(top,X2) = composition(top,composition(top,X2)),
inference(superposition,[],[f31,f2286]) ).
fof(f2286,plain,
top = composition(top,top),
inference(forward_demodulation,[],[f2279,f1361]) ).
fof(f2279,plain,
top = join(composition(top,top),zero),
inference(superposition,[],[f24,f2168]) ).
fof(f2168,plain,
zero = complement(composition(top,top)),
inference(superposition,[],[f2141,f179]) ).
fof(f2141,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f2140,f2093]) ).
fof(f2093,plain,
zero = composition(top,complement(composition(top,top))),
inference(superposition,[],[f1779,f1810]) ).
fof(f1779,plain,
! [X2] : zero = composition(converse(X2),complement(composition(X2,top))),
inference(forward_demodulation,[],[f1759,f1232]) ).
fof(f1759,plain,
! [X2] : zero = join(zero,composition(converse(X2),complement(composition(X2,top)))),
inference(superposition,[],[f34,f89]) ).
fof(f2140,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f2139,f1728]) ).
fof(f2139,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f2131,f1361]) ).
fof(f2131,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(superposition,[],[f33,f2093]) ).
fof(f31,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/sandbox2/tmp/tmp.CshSzF12xN/Vampire---4.8_25259',composition_associativity) ).
fof(f34,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f29,f25]) ).
fof(f29,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/sandbox2/tmp/tmp.CshSzF12xN/Vampire---4.8_25259',converse_cancellativity) ).
fof(f1827,plain,
! [X4] : complement(X4) = join(complement(X4),composition(top,complement(composition(top,X4)))),
inference(superposition,[],[f34,f1810]) ).
fof(f5573,plain,
! [X2,X1] : join(X1,meet(X2,X1)) = X1,
inference(superposition,[],[f5120,f90]) ).
fof(f5120,plain,
! [X24,X25] : join(X24,meet(X24,X25)) = X24,
inference(forward_demodulation,[],[f5090,f1340]) ).
fof(f5090,plain,
! [X24,X25] : join(X24,meet(X24,X25)) = complement(complement(X24)),
inference(superposition,[],[f1340,f5017]) ).
fof(f5017,plain,
! [X26,X27] : complement(X26) = complement(join(X26,meet(X26,X27))),
inference(backward_demodulation,[],[f3420,f4978]) ).
fof(f4978,plain,
! [X3,X4] : complement(join(X4,X3)) = meet(complement(X4),complement(X3)),
inference(superposition,[],[f1380,f1340]) ).
fof(f1380,plain,
! [X2,X3] : meet(complement(X2),X3) = complement(join(X2,complement(X3))),
inference(superposition,[],[f28,f1340]) ).
fof(f3420,plain,
! [X26,X27] : complement(X26) = meet(complement(X26),complement(meet(X26,X27))),
inference(superposition,[],[f1692,f1374]) ).
fof(f1692,plain,
! [X4,X5] : meet(X4,join(X4,X5)) = X4,
inference(forward_demodulation,[],[f1670,f1232]) ).
fof(f1670,plain,
! [X4,X5] : join(zero,meet(X4,join(X4,X5))) = X4,
inference(backward_demodulation,[],[f1305,f1668]) ).
fof(f1305,plain,
! [X4,X5] : join(complement(join(top,X5)),meet(X4,join(X4,X5))) = X4,
inference(backward_demodulation,[],[f662,f1302]) ).
fof(f662,plain,
! [X4,X5] : join(complement(join(top,X5)),meet(X4,join(complement(complement(X4)),X5))) = X4,
inference(forward_demodulation,[],[f633,f25]) ).
fof(f633,plain,
! [X4,X5] : join(meet(X4,join(complement(complement(X4)),X5)),complement(join(top,X5))) = X4,
inference(superposition,[],[f37,f455]) ).
fof(f1883,plain,
complement(sK0) = join(complement(sK0),composition(complement(sK0),top)),
inference(forward_demodulation,[],[f1882,f1810]) ).
fof(f1882,plain,
complement(sK0) = join(complement(sK0),composition(complement(sK0),converse(top))),
inference(forward_demodulation,[],[f1881,f38]) ).
fof(f1881,plain,
complement(sK0) = join(complement(sK0),converse(composition(top,converse(complement(sK0))))),
inference(forward_demodulation,[],[f1880,f1823]) ).
fof(f1823,plain,
! [X0] : converse(composition(top,X0)) = composition(converse(X0),top),
inference(superposition,[],[f26,f1810]) ).
fof(f1880,plain,
complement(sK0) = join(complement(sK0),composition(converse(converse(complement(sK0))),top)),
inference(forward_demodulation,[],[f1875,f786]) ).
fof(f1875,plain,
complement(sK0) = join(complement(sK0),composition(converse(converse(complement(sK0))),complement(zero))),
inference(superposition,[],[f34,f1861]) ).
fof(f1861,plain,
zero = composition(converse(complement(sK0)),sK0),
inference(forward_demodulation,[],[f1856,f1507]) ).
fof(f1507,plain,
zero = converse(zero),
inference(superposition,[],[f1466,f1232]) ).
fof(f1466,plain,
! [X10] : join(X10,converse(zero)) = X10,
inference(forward_demodulation,[],[f1463,f21]) ).
fof(f1463,plain,
! [X10] : converse(converse(X10)) = join(X10,converse(zero)),
inference(superposition,[],[f40,f1361]) ).
fof(f1856,plain,
converse(zero) = composition(converse(complement(sK0)),sK0),
inference(superposition,[],[f39,f1794]) ).
fof(f1794,plain,
zero = composition(converse(sK0),complement(sK0)),
inference(forward_demodulation,[],[f1793,f1232]) ).
fof(f1793,plain,
zero = join(zero,composition(converse(sK0),complement(sK0))),
inference(forward_demodulation,[],[f1775,f89]) ).
fof(f1775,plain,
complement(top) = join(complement(top),composition(converse(sK0),complement(sK0))),
inference(superposition,[],[f34,f19]) ).
fof(f19,plain,
sK0 = composition(sK0,top),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( complement(sK0) != composition(complement(sK0),top)
& sK0 = composition(sK0,top) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
fof(f17,plain,
( ? [X0] :
( complement(X0) != composition(complement(X0),top)
& composition(X0,top) = X0 )
=> ( complement(sK0) != composition(complement(sK0),top)
& sK0 = composition(sK0,top) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0] :
( complement(X0) != composition(complement(X0),top)
& composition(X0,top) = X0 ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( composition(X0,top) = X0
=> complement(X0) = composition(complement(X0),top) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0] :
( composition(X0,top) = X0
=> complement(X0) = composition(complement(X0),top) ),
file('/export/starexec/sandbox2/tmp/tmp.CshSzF12xN/Vampire---4.8_25259',goals) ).
fof(f20,plain,
complement(sK0) != composition(complement(sK0),top),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL018+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.35 % Computer : n021.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Fri Aug 25 19:28:11 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_PEQ problem
% 0.12/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.CshSzF12xN/Vampire---4.8_25259
% 0.12/0.35 % (25640)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (25673)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)
% 0.20/0.41 % (25676)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)
% 0.20/0.41 % (25677)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)
% 0.20/0.41 % (25709)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)
% 0.20/0.41 % (25662)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)
% 0.20/0.42 % (25651)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)
% 0.20/0.42 % (25646)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)
% 0.20/0.54 % (25673)First to succeed.
% 0.20/0.55 % (25673)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for Vampire---4
% 0.20/0.55 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.55 % (25673)------------------------------
% 0.20/0.55 % (25673)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.55 % (25673)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.55 % (25673)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (25673)Memory used [KB]: 4221
% 0.20/0.55 % (25673)Time elapsed: 0.133 s
% 0.20/0.55 % (25673)------------------------------
% 0.20/0.55 % (25673)------------------------------
% 0.20/0.55 % (25640)Success in time 0.193 s
% 0.20/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------