TSTP Solution File: REL025+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : REL025+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 : n005.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 13:45:10 EDT 2023
% Result : Theorem 25.16s 3.99s
% Output : Refutation 25.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 82
% Number of leaves : 15
% Syntax : Number of formulae : 320 ( 315 unt; 0 def)
% Number of atoms : 327 ( 326 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 : 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 : 396 (; 394 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f269856,plain,
$false,
inference(trivial_inequality_removal,[],[f268636]) ).
fof(f268636,plain,
sK0 != sK0,
inference(backward_demodulation,[],[f20,f268635]) ).
fof(f268635,plain,
sK0 = converse(sK0),
inference(forward_demodulation,[],[f268634,f268211]) ).
fof(f268211,plain,
sK0 = join(sK0,converse(sK0)),
inference(forward_demodulation,[],[f268120,f1449]) ).
fof(f1449,plain,
! [X0] : meet(X0,top) = X0,
inference(backward_demodulation,[],[f1371,f1447]) ).
fof(f1447,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1384,f1408]) ).
fof(f1408,plain,
! [X5] : complement(complement(X5)) = meet(X5,complement(complement(X5))),
inference(backward_demodulation,[],[f1394,f1371]) ).
fof(f1394,plain,
! [X5] : meet(X5,top) = meet(X5,meet(X5,top)),
inference(forward_demodulation,[],[f1393,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/sandbox/tmp/tmp.uBwJPMQqEE/Vampire---4.8_12483',maddux4_definiton_of_meet) ).
fof(f1393,plain,
! [X5] : meet(X5,top) = complement(join(complement(X5),complement(meet(X5,top)))),
inference(forward_demodulation,[],[f1367,f1343]) ).
fof(f1343,plain,
! [X3] : join(zero,X3) = X3,
inference(superposition,[],[f1116,f526]) ).
fof(f526,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f509,f28]) ).
fof(f509,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/sandbox/tmp/tmp.uBwJPMQqEE/Vampire---4.8_12483',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/sandbox/tmp/tmp.uBwJPMQqEE/Vampire---4.8_12483',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/sandbox/tmp/tmp.uBwJPMQqEE/Vampire---4.8_12483',maddux3_a_kind_of_de_Morgan) ).
fof(f1116,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f32,f1037]) ).
fof(f1037,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f1035,f526]) ).
fof(f1035,plain,
join(zero,zero) = join(zero,meet(zero,zero)),
inference(backward_demodulation,[],[f1031,f1010]) ).
fof(f1010,plain,
complement(join(top,top)) = meet(zero,zero),
inference(superposition,[],[f856,f847]) ).
fof(f847,plain,
top = complement(zero),
inference(forward_demodulation,[],[f846,f569]) ).
fof(f569,plain,
top = join(zero,meet(top,complement(zero))),
inference(superposition,[],[f549,f95]) ).
fof(f95,plain,
zero = complement(top),
inference(forward_demodulation,[],[f90,f23]) ).
fof(f90,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/sandbox/tmp/tmp.uBwJPMQqEE/Vampire---4.8_12483',def_top) ).
fof(f549,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(forward_demodulation,[],[f548,f95]) ).
fof(f548,plain,
! [X0] : join(complement(top),meet(X0,complement(complement(X0)))) = X0,
inference(forward_demodulation,[],[f520,f25]) ).
fof(f520,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f37,f24]) ).
fof(f846,plain,
complement(zero) = join(zero,meet(top,complement(zero))),
inference(forward_demodulation,[],[f845,f96]) ).
fof(f96,plain,
! [X2,X1] : meet(X1,X2) = meet(X2,X1),
inference(forward_demodulation,[],[f91,f28]) ).
fof(f91,plain,
! [X2,X1] : meet(X1,X2) = complement(join(complement(X2),complement(X1))),
inference(superposition,[],[f28,f25]) ).
fof(f845,plain,
complement(zero) = join(zero,meet(complement(zero),top)),
inference(forward_demodulation,[],[f834,f25]) ).
fof(f834,plain,
complement(zero) = join(meet(complement(zero),top),zero),
inference(superposition,[],[f800,f23]) ).
fof(f800,plain,
! [X0] : join(meet(X0,top),meet(zero,X0)) = X0,
inference(superposition,[],[f782,f96]) ).
fof(f782,plain,
! [X6] : join(meet(X6,top),meet(X6,zero)) = X6,
inference(superposition,[],[f551,f95]) ).
fof(f551,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(forward_demodulation,[],[f524,f25]) ).
fof(f524,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f37,f28]) ).
fof(f856,plain,
! [X0] : meet(zero,X0) = complement(join(top,complement(X0))),
inference(superposition,[],[f28,f847]) ).
fof(f1031,plain,
join(zero,zero) = join(zero,complement(join(top,top))),
inference(backward_demodulation,[],[f825,f1030]) ).
fof(f1030,plain,
complement(join(top,top)) = meet(zero,join(zero,zero)),
inference(forward_demodulation,[],[f1008,f552]) ).
fof(f552,plain,
! [X0] : join(top,X0) = join(top,meet(X0,X0)),
inference(superposition,[],[f444,f526]) ).
fof(f444,plain,
! [X20] : join(top,join(zero,X20)) = join(top,X20),
inference(superposition,[],[f32,f105]) ).
fof(f105,plain,
top = join(top,zero),
inference(superposition,[],[f24,f95]) ).
fof(f1008,plain,
meet(zero,join(zero,zero)) = complement(join(top,meet(top,top))),
inference(superposition,[],[f856,f111]) ).
fof(f111,plain,
meet(top,top) = complement(join(zero,zero)),
inference(superposition,[],[f107,f95]) ).
fof(f107,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f103,f25]) ).
fof(f103,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f28,f95]) ).
fof(f825,plain,
join(zero,zero) = join(zero,meet(zero,join(zero,zero))),
inference(forward_demodulation,[],[f810,f96]) ).
fof(f810,plain,
join(zero,zero) = join(zero,meet(join(zero,zero),zero)),
inference(superposition,[],[f798,f531]) ).
fof(f531,plain,
zero = meet(top,join(zero,zero)),
inference(forward_demodulation,[],[f529,f95]) ).
fof(f529,plain,
complement(top) = meet(top,join(zero,zero)),
inference(backward_demodulation,[],[f129,f526]) ).
fof(f129,plain,
complement(join(zero,meet(top,top))) = meet(top,join(zero,zero)),
inference(forward_demodulation,[],[f124,f96]) ).
fof(f124,plain,
meet(join(zero,zero),top) = complement(join(zero,meet(top,top))),
inference(superposition,[],[f107,f111]) ).
fof(f798,plain,
! [X0] : join(meet(top,X0),meet(X0,zero)) = X0,
inference(superposition,[],[f782,f96]) ).
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/sandbox/tmp/tmp.uBwJPMQqEE/Vampire---4.8_12483',maddux2_join_associativity) ).
fof(f1367,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(complement(X5),complement(meet(X5,top))))),
inference(backward_demodulation,[],[f540,f1343]) ).
fof(f540,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(zero,join(complement(X5),complement(meet(X5,top)))))),
inference(forward_demodulation,[],[f539,f25]) ).
fof(f539,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(zero,join(complement(meet(X5,top)),complement(X5))))),
inference(forward_demodulation,[],[f513,f460]) ).
fof(f460,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(X3,join(X2,X4)),
inference(forward_demodulation,[],[f437,f32]) ).
fof(f437,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(join(X3,X2),X4),
inference(superposition,[],[f32,f25]) ).
fof(f513,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(complement(meet(X5,top)),join(zero,complement(X5))))),
inference(superposition,[],[f37,f123]) ).
fof(f123,plain,
! [X5] : zero = meet(meet(X5,top),join(zero,complement(X5))),
inference(forward_demodulation,[],[f116,f96]) ).
fof(f116,plain,
! [X5] : zero = meet(join(zero,complement(X5)),meet(X5,top)),
inference(superposition,[],[f23,f107]) ).
fof(f1384,plain,
! [X0] : meet(X0,complement(complement(X0))) = X0,
inference(backward_demodulation,[],[f549,f1343]) ).
fof(f1371,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(backward_demodulation,[],[f107,f1343]) ).
fof(f268120,plain,
sK0 = meet(join(sK0,converse(sK0)),top),
inference(superposition,[],[f101689,f267841]) ).
fof(f267841,plain,
top = join(sK0,complement(converse(sK0))),
inference(forward_demodulation,[],[f267567,f257893]) ).
fof(f257893,plain,
top = join(complement(converse(sK0)),composition(sK0,top)),
inference(forward_demodulation,[],[f257773,f847]) ).
fof(f257773,plain,
complement(zero) = join(complement(converse(sK0)),composition(sK0,top)),
inference(superposition,[],[f4459,f257068]) ).
fof(f257068,plain,
zero = meet(converse(sK0),complement(composition(sK0,top))),
inference(superposition,[],[f9416,f256945]) ).
fof(f256945,plain,
composition(sK0,top) = converse(composition(top,sK0)),
inference(forward_demodulation,[],[f256944,f120991]) ).
fof(f120991,plain,
composition(join(sK0,converse(sK0)),top) = converse(composition(top,sK0)),
inference(forward_demodulation,[],[f120990,f991]) ).
fof(f991,plain,
! [X3,X4,X5] : composition(join(X3,X5),X4) = composition(join(X5,X3),X4),
inference(forward_demodulation,[],[f976,f33]) ).
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/sandbox/tmp/tmp.uBwJPMQqEE/Vampire---4.8_12483',composition_distributivity) ).
fof(f976,plain,
! [X3,X4,X5] : join(composition(X5,X4),composition(X3,X4)) = composition(join(X3,X5),X4),
inference(superposition,[],[f33,f25]) ).
fof(f120990,plain,
converse(composition(top,sK0)) = composition(join(converse(sK0),sK0),top),
inference(forward_demodulation,[],[f120989,f3812]) ).
fof(f3812,plain,
! [X6,X7] : composition(join(converse(X6),X7),top) = join(converse(composition(top,X6)),composition(X7,top)),
inference(superposition,[],[f33,f1976]) ).
fof(f1976,plain,
! [X0] : converse(composition(top,X0)) = composition(converse(X0),top),
inference(superposition,[],[f26,f1962]) ).
fof(f1962,plain,
top = converse(top),
inference(forward_demodulation,[],[f1941,f1956]) ).
fof(f1956,plain,
! [X7] : top = join(X7,converse(top)),
inference(backward_demodulation,[],[f588,f1930]) ).
fof(f1930,plain,
! [X1] : top = join(top,X1),
inference(superposition,[],[f1908,f25]) ).
fof(f1908,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f1901,f1469]) ).
fof(f1469,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f1460,f23]) ).
fof(f1460,plain,
! [X0] : join(X0,meet(X0,complement(X0))) = X0,
inference(superposition,[],[f551,f1382]) ).
fof(f1382,plain,
! [X0] : meet(X0,X0) = X0,
inference(backward_demodulation,[],[f526,f1343]) ).
fof(f1901,plain,
! [X0] : top = join(X0,join(top,zero)),
inference(superposition,[],[f449,f1847]) ).
fof(f1847,plain,
! [X12] : zero = complement(join(X12,top)),
inference(backward_demodulation,[],[f1531,f1846]) ).
fof(f1846,plain,
! [X2] : zero = complement(join(top,X2)),
inference(forward_demodulation,[],[f1845,f1211]) ).
fof(f1211,plain,
! [X3] : join(top,X3) = join(top,join(top,X3)),
inference(forward_demodulation,[],[f1210,f506]) ).
fof(f506,plain,
! [X0,X1] : join(top,join(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(X0,join(zero,X1))),
inference(forward_demodulation,[],[f504,f32]) ).
fof(f504,plain,
! [X0,X1] : join(join(top,X0),X1) = join(top,join(join(X0,zero),X1)),
inference(superposition,[],[f32,f492]) ).
fof(f492,plain,
! [X2] : join(top,X2) = join(top,join(X2,zero)),
inference(superposition,[],[f444,f25]) ).
fof(f1210,plain,
! [X3] : join(top,X3) = join(top,join(top,join(zero,X3))),
inference(forward_demodulation,[],[f1209,f579]) ).
fof(f579,plain,
! [X0,X1] : join(top,join(X0,X1)) = join(top,join(meet(X0,X0),X1)),
inference(forward_demodulation,[],[f578,f32]) ).
fof(f578,plain,
! [X0,X1] : join(join(top,X0),X1) = join(top,join(meet(X0,X0),X1)),
inference(superposition,[],[f32,f552]) ).
fof(f1209,plain,
! [X3] : join(top,X3) = join(top,join(top,join(meet(zero,zero),X3))),
inference(forward_demodulation,[],[f1150,f32]) ).
fof(f1150,plain,
! [X3] : join(top,X3) = join(join(top,top),join(meet(zero,zero),X3)),
inference(superposition,[],[f436,f1010]) ).
fof(f436,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f32,f24]) ).
fof(f1845,plain,
! [X2] : zero = complement(join(top,join(top,X2))),
inference(forward_demodulation,[],[f1844,f1531]) ).
fof(f1844,plain,
! [X2] : zero = complement(join(join(top,X2),top)),
inference(forward_demodulation,[],[f1843,f1012]) ).
fof(f1012,plain,
! [X0] : meet(zero,complement(X0)) = complement(join(X0,top)),
inference(superposition,[],[f856,f587]) ).
fof(f587,plain,
! [X6] : join(top,complement(complement(X6))) = join(X6,top),
inference(superposition,[],[f436,f24]) ).
fof(f1843,plain,
! [X2] : zero = meet(zero,complement(join(top,X2))),
inference(forward_demodulation,[],[f1842,f1343]) ).
fof(f1842,plain,
! [X2] : zero = join(zero,meet(zero,complement(join(top,X2)))),
inference(superposition,[],[f551,f1812]) ).
fof(f1812,plain,
! [X0] : zero = meet(zero,join(top,X0)),
inference(superposition,[],[f1800,f25]) ).
fof(f1800,plain,
! [X0] : zero = meet(zero,join(X0,top)),
inference(forward_demodulation,[],[f1799,f1534]) ).
fof(f1534,plain,
! [X1] : meet(top,X1) = X1,
inference(superposition,[],[f1449,f96]) ).
fof(f1799,plain,
! [X0] : zero = meet(top,meet(zero,join(X0,top))),
inference(forward_demodulation,[],[f1788,f96]) ).
fof(f1788,plain,
! [X0] : zero = meet(meet(zero,join(X0,top)),top),
inference(superposition,[],[f23,f1781]) ).
fof(f1781,plain,
! [X0] : top = complement(meet(zero,join(X0,top))),
inference(forward_demodulation,[],[f1772,f1510]) ).
fof(f1510,plain,
! [X16] : join(top,complement(X16)) = complement(meet(zero,X16)),
inference(forward_demodulation,[],[f1506,f1382]) ).
fof(f1506,plain,
! [X16] : join(top,complement(X16)) = meet(complement(meet(zero,X16)),complement(meet(zero,X16))),
inference(backward_demodulation,[],[f1385,f1504]) ).
fof(f1504,plain,
! [X6,X5] : meet(X6,join(top,complement(X5))) = meet(X6,complement(meet(zero,X5))),
inference(backward_demodulation,[],[f1018,f1497]) ).
fof(f1497,plain,
! [X2,X0,X1] : complement(join(complement(X2),meet(X0,X1))) = meet(X2,complement(meet(X0,X1))),
inference(backward_demodulation,[],[f89,f1482]) ).
fof(f1482,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(superposition,[],[f1447,f28]) ).
fof(f89,plain,
! [X2,X0,X1] : meet(X2,join(complement(X0),complement(X1))) = complement(join(complement(X2),meet(X0,X1))),
inference(superposition,[],[f28,f28]) ).
fof(f1018,plain,
! [X6,X5] : meet(X6,join(top,complement(X5))) = complement(join(complement(X6),meet(zero,X5))),
inference(superposition,[],[f28,f856]) ).
fof(f1385,plain,
! [X16] : join(top,complement(X16)) = meet(complement(meet(zero,X16)),join(top,complement(X16))),
inference(backward_demodulation,[],[f1073,f1343]) ).
fof(f1073,plain,
! [X16] : join(top,complement(X16)) = join(zero,meet(complement(meet(zero,X16)),join(top,complement(X16)))),
inference(forward_demodulation,[],[f1026,f96]) ).
fof(f1026,plain,
! [X16] : join(top,complement(X16)) = join(zero,meet(join(top,complement(X16)),complement(meet(zero,X16)))),
inference(superposition,[],[f549,f856]) ).
fof(f1772,plain,
! [X0] : top = join(top,complement(join(X0,top))),
inference(superposition,[],[f1759,f1012]) ).
fof(f1759,plain,
! [X0] : top = join(top,meet(zero,X0)),
inference(forward_demodulation,[],[f1750,f584]) ).
fof(f584,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f436,f25]) ).
fof(f1750,plain,
! [X0] : top = join(X0,join(meet(zero,X0),complement(X0))),
inference(superposition,[],[f449,f1420]) ).
fof(f1420,plain,
! [X0] : join(X0,meet(zero,X0)) = X0,
inference(backward_demodulation,[],[f1400,f1415]) ).
fof(f1415,plain,
! [X2,X1] : join(X1,X2) = join(complement(complement(X1)),X2),
inference(backward_demodulation,[],[f1364,f1408]) ).
fof(f1364,plain,
! [X2,X1] : join(X1,X2) = join(meet(X1,complement(complement(X1))),X2),
inference(backward_demodulation,[],[f571,f1343]) ).
fof(f571,plain,
! [X2,X1] : join(X1,X2) = join(zero,join(meet(X1,complement(complement(X1))),X2)),
inference(superposition,[],[f32,f549]) ).
fof(f1400,plain,
! [X0] : join(complement(complement(X0)),meet(zero,X0)) = X0,
inference(backward_demodulation,[],[f800,f1371]) ).
fof(f1531,plain,
! [X12] : complement(join(top,X12)) = complement(join(X12,top)),
inference(forward_demodulation,[],[f1493,f1012]) ).
fof(f1493,plain,
! [X12] : meet(zero,complement(X12)) = complement(join(top,X12)),
inference(superposition,[],[f856,f1447]) ).
fof(f449,plain,
! [X3,X4] : top = join(X3,join(X4,complement(join(X3,X4)))),
inference(superposition,[],[f32,f24]) ).
fof(f588,plain,
! [X7] : join(top,converse(complement(converse(complement(X7))))) = join(X7,converse(top)),
inference(superposition,[],[f436,f244]) ).
fof(f244,plain,
! [X2] : join(X2,converse(complement(converse(X2)))) = converse(top),
inference(superposition,[],[f44,f24]) ).
fof(f44,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/sandbox/tmp/tmp.uBwJPMQqEE/Vampire---4.8_12483',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/sandbox/tmp/tmp.uBwJPMQqEE/Vampire---4.8_12483',converse_additivity) ).
fof(f1941,plain,
! [X10] : converse(top) = join(X10,converse(top)),
inference(superposition,[],[f44,f1908]) ).
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/sandbox/tmp/tmp.uBwJPMQqEE/Vampire---4.8_12483',converse_multiplicativity) ).
fof(f120989,plain,
converse(composition(top,sK0)) = join(converse(composition(top,sK0)),composition(sK0,top)),
inference(forward_demodulation,[],[f120988,f847]) ).
fof(f120988,plain,
converse(composition(top,sK0)) = join(converse(composition(top,sK0)),composition(sK0,complement(zero))),
inference(forward_demodulation,[],[f120987,f1660]) ).
fof(f1660,plain,
zero = converse(zero),
inference(superposition,[],[f1578,f1343]) ).
fof(f1578,plain,
! [X10] : join(X10,converse(zero)) = X10,
inference(forward_demodulation,[],[f1573,f21]) ).
fof(f1573,plain,
! [X10] : converse(converse(X10)) = join(X10,converse(zero)),
inference(superposition,[],[f44,f1469]) ).
fof(f120987,plain,
converse(composition(top,sK0)) = join(converse(composition(top,sK0)),composition(sK0,complement(converse(zero)))),
inference(forward_demodulation,[],[f120986,f25]) ).
fof(f120986,plain,
converse(composition(top,sK0)) = join(composition(sK0,complement(converse(zero))),converse(composition(top,sK0))),
inference(forward_demodulation,[],[f120985,f1447]) ).
fof(f120985,plain,
complement(complement(converse(composition(top,sK0)))) = join(composition(sK0,complement(converse(zero))),complement(complement(converse(composition(top,sK0))))),
inference(forward_demodulation,[],[f120984,f13692]) ).
fof(f13692,plain,
! [X6] : complement(converse(X6)) = converse(complement(X6)),
inference(superposition,[],[f13561,f1447]) ).
fof(f13561,plain,
! [X15] : converse(X15) = complement(converse(complement(X15))),
inference(forward_demodulation,[],[f13496,f8738]) ).
fof(f8738,plain,
! [X0] : complement(converse(complement(X0))) = join(converse(X0),complement(converse(complement(X0)))),
inference(forward_demodulation,[],[f8667,f25]) ).
fof(f8667,plain,
! [X0] : complement(converse(complement(X0))) = join(complement(converse(complement(X0))),converse(X0)),
inference(superposition,[],[f7543,f1974]) ).
fof(f1974,plain,
! [X5] : meet(X5,converse(complement(converse(complement(X5))))) = X5,
inference(forward_demodulation,[],[f1973,f1343]) ).
fof(f1973,plain,
! [X5] : join(zero,meet(X5,converse(complement(converse(complement(X5)))))) = X5,
inference(forward_demodulation,[],[f1968,f95]) ).
fof(f1968,plain,
! [X5] : join(complement(top),meet(X5,converse(complement(converse(complement(X5)))))) = X5,
inference(backward_demodulation,[],[f550,f1962]) ).
fof(f550,plain,
! [X5] : join(complement(converse(top)),meet(X5,converse(complement(converse(complement(X5)))))) = X5,
inference(forward_demodulation,[],[f523,f25]) ).
fof(f523,plain,
! [X5] : join(meet(X5,converse(complement(converse(complement(X5))))),complement(converse(top))) = X5,
inference(superposition,[],[f37,f244]) ).
fof(f7543,plain,
! [X63,X64] : join(X63,converse(meet(X64,converse(X63)))) = X63,
inference(forward_demodulation,[],[f7497,f21]) ).
fof(f7497,plain,
! [X63,X64] : join(X63,converse(meet(X64,converse(X63)))) = converse(converse(X63)),
inference(superposition,[],[f44,f7267]) ).
fof(f7267,plain,
! [X2,X1] : join(X1,meet(X2,X1)) = X1,
inference(superposition,[],[f7068,f96]) ).
fof(f7068,plain,
! [X26,X25] : join(X25,meet(X25,X26)) = X25,
inference(forward_demodulation,[],[f7027,f1447]) ).
fof(f7027,plain,
! [X26,X25] : join(X25,meet(X25,X26)) = complement(complement(X25)),
inference(superposition,[],[f1447,f6566]) ).
fof(f6566,plain,
! [X48,X47] : complement(X47) = complement(join(X47,meet(X47,X48))),
inference(backward_demodulation,[],[f4488,f6513]) ).
fof(f6513,plain,
! [X3,X4] : complement(join(X4,X3)) = meet(complement(X4),complement(X3)),
inference(superposition,[],[f1488,f1447]) ).
fof(f1488,plain,
! [X2,X3] : meet(complement(X2),X3) = complement(join(X2,complement(X3))),
inference(superposition,[],[f28,f1447]) ).
fof(f4488,plain,
! [X48,X47] : complement(X47) = meet(complement(X47),complement(meet(X47,X48))),
inference(superposition,[],[f1871,f1482]) ).
fof(f1871,plain,
! [X14,X15] : meet(X14,join(X14,X15)) = X14,
inference(forward_demodulation,[],[f1848,f1343]) ).
fof(f1848,plain,
! [X14,X15] : join(zero,meet(X14,join(X14,X15))) = X14,
inference(backward_demodulation,[],[f1417,f1846]) ).
fof(f1417,plain,
! [X14,X15] : join(complement(join(top,X15)),meet(X14,join(X14,X15))) = X14,
inference(backward_demodulation,[],[f616,f1415]) ).
fof(f616,plain,
! [X14,X15] : join(complement(join(top,X15)),meet(X14,join(complement(complement(X14)),X15))) = X14,
inference(forward_demodulation,[],[f596,f25]) ).
fof(f596,plain,
! [X14,X15] : join(meet(X14,join(complement(complement(X14)),X15)),complement(join(top,X15))) = X14,
inference(superposition,[],[f37,f436]) ).
fof(f13496,plain,
! [X15] : converse(X15) = join(converse(X15),complement(converse(complement(X15)))),
inference(superposition,[],[f13448,f21]) ).
fof(f13448,plain,
! [X53] : join(X53,complement(converse(complement(converse(X53))))) = X53,
inference(forward_demodulation,[],[f13349,f1447]) ).
fof(f13349,plain,
! [X53] : complement(complement(X53)) = join(X53,complement(converse(complement(converse(complement(complement(X53))))))),
inference(superposition,[],[f4456,f1974]) ).
fof(f4456,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(superposition,[],[f1482,f1447]) ).
fof(f120984,plain,
complement(converse(complement(composition(top,sK0)))) = join(composition(sK0,complement(converse(zero))),complement(converse(complement(composition(top,sK0))))),
inference(forward_demodulation,[],[f120939,f25]) ).
fof(f120939,plain,
complement(converse(complement(composition(top,sK0)))) = join(complement(converse(complement(composition(top,sK0)))),composition(sK0,complement(converse(zero)))),
inference(superposition,[],[f1652,f120686]) ).
fof(f120686,plain,
zero = composition(complement(composition(top,sK0)),sK0),
inference(superposition,[],[f117692,f99261]) ).
fof(f99261,plain,
! [X19] : composition(X19,sK0) = meet(X19,composition(X19,sK0)),
inference(forward_demodulation,[],[f99142,f96]) ).
fof(f99142,plain,
! [X19] : composition(X19,sK0) = meet(composition(X19,sK0),X19),
inference(superposition,[],[f2012,f99111]) ).
fof(f99111,plain,
! [X133] : join(X133,composition(X133,sK0)) = X133,
inference(forward_demodulation,[],[f99110,f21]) ).
fof(f99110,plain,
! [X133] : converse(converse(X133)) = join(X133,composition(X133,sK0)),
inference(forward_demodulation,[],[f99109,f21]) ).
fof(f99109,plain,
! [X133] : converse(converse(X133)) = join(X133,composition(X133,converse(converse(sK0)))),
inference(forward_demodulation,[],[f99003,f42]) ).
fof(f42,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f26,f21]) ).
fof(f99003,plain,
! [X133] : converse(converse(X133)) = join(X133,converse(composition(converse(sK0),converse(X133)))),
inference(superposition,[],[f44,f98692]) ).
fof(f98692,plain,
! [X120] : join(X120,composition(converse(sK0),X120)) = X120,
inference(forward_demodulation,[],[f98691,f194]) ).
fof(f194,plain,
! [X2] : composition(one,X2) = X2,
inference(backward_demodulation,[],[f172,f188]) ).
fof(f188,plain,
one = converse(one),
inference(superposition,[],[f172,f22]) ).
fof(f22,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/tmp/tmp.uBwJPMQqEE/Vampire---4.8_12483',composition_identity) ).
fof(f172,plain,
! [X2] : composition(converse(one),X2) = X2,
inference(forward_demodulation,[],[f157,f21]) ).
fof(f157,plain,
! [X2] : composition(converse(one),X2) = converse(converse(X2)),
inference(superposition,[],[f43,f22]) ).
fof(f43,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f26,f21]) ).
fof(f98691,plain,
! [X120] : composition(one,X120) = join(X120,composition(converse(sK0),X120)),
inference(forward_demodulation,[],[f98690,f194]) ).
fof(f98690,plain,
! [X120] : composition(one,X120) = join(X120,composition(one,composition(converse(sK0),X120))),
inference(forward_demodulation,[],[f98592,f31]) ).
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/sandbox/tmp/tmp.uBwJPMQqEE/Vampire---4.8_12483',composition_associativity) ).
fof(f98592,plain,
! [X120] : composition(one,X120) = join(X120,composition(composition(one,converse(sK0)),X120)),
inference(superposition,[],[f970,f98341]) ).
fof(f98341,plain,
! [X133] : join(X133,composition(X133,converse(sK0))) = X133,
inference(forward_demodulation,[],[f98340,f42]) ).
fof(f98340,plain,
! [X133] : join(X133,converse(composition(sK0,converse(X133)))) = X133,
inference(forward_demodulation,[],[f98253,f21]) ).
fof(f98253,plain,
! [X133] : join(X133,converse(composition(sK0,converse(X133)))) = converse(converse(X133)),
inference(superposition,[],[f44,f97930]) ).
fof(f97930,plain,
! [X134] : join(X134,composition(sK0,X134)) = X134,
inference(forward_demodulation,[],[f97664,f194]) ).
fof(f97664,plain,
! [X134] : join(X134,composition(sK0,X134)) = composition(one,X134),
inference(superposition,[],[f970,f38]) ).
fof(f38,plain,
one = join(one,sK0),
inference(superposition,[],[f25,f19]) ).
fof(f19,plain,
one = join(sK0,one),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( sK0 != converse(sK0)
& one = join(sK0,one) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
fof(f17,plain,
( ? [X0] :
( converse(X0) != X0
& one = join(X0,one) )
=> ( sK0 != converse(sK0)
& one = join(sK0,one) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0] :
( converse(X0) != X0
& one = join(X0,one) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( one = join(X0,one)
=> converse(X0) = X0 ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0] :
( one = join(X0,one)
=> converse(X0) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.uBwJPMQqEE/Vampire---4.8_12483',goals) ).
fof(f970,plain,
! [X6,X7] : composition(join(one,X7),X6) = join(X6,composition(X7,X6)),
inference(superposition,[],[f33,f194]) ).
fof(f2012,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f1871,f25]) ).
fof(f117692,plain,
! [X16,X17] : zero = meet(complement(composition(top,X16)),composition(X17,X16)),
inference(forward_demodulation,[],[f117601,f95]) ).
fof(f117601,plain,
! [X16,X17] : complement(top) = meet(complement(composition(top,X16)),composition(X17,X16)),
inference(superposition,[],[f1488,f107714]) ).
fof(f107714,plain,
! [X46,X49] : top = join(composition(top,X49),complement(composition(X46,X49))),
inference(forward_demodulation,[],[f107436,f25]) ).
fof(f107436,plain,
! [X46,X49] : top = join(complement(composition(X46,X49)),composition(top,X49)),
inference(superposition,[],[f19775,f2181]) ).
fof(f2181,plain,
! [X34,X35,X33] : top = join(X33,join(X34,join(X35,complement(X33)))),
inference(superposition,[],[f1942,f450]) ).
fof(f450,plain,
! [X6,X7,X5] : join(X5,join(X6,X7)) = join(X7,join(X5,X6)),
inference(superposition,[],[f32,f25]) ).
fof(f1942,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f436,f1930]) ).
fof(f19775,plain,
! [X111,X112,X110] : top = join(complement(composition(X110,X111)),composition(join(X110,X112),X111)),
inference(forward_demodulation,[],[f19774,f19746]) ).
fof(f19746,plain,
! [X24,X22,X25,X23] : join(composition(join(X25,X22),X23),X24) = join(X24,composition(join(X22,X25),X23)),
inference(forward_demodulation,[],[f19579,f2107]) ).
fof(f2107,plain,
! [X38,X39,X36,X37] : join(composition(X38,X37),join(X39,composition(X36,X37))) = join(X39,composition(join(X36,X38),X37)),
inference(superposition,[],[f450,f33]) ).
fof(f19579,plain,
! [X24,X22,X25,X23] : join(composition(join(X25,X22),X23),X24) = join(composition(X25,X23),join(X24,composition(X22,X23))),
inference(superposition,[],[f979,f25]) ).
fof(f979,plain,
! [X3,X6,X4,X5] : join(composition(X3,X4),join(composition(X5,X4),X6)) = join(composition(join(X3,X5),X4),X6),
inference(superposition,[],[f32,f33]) ).
fof(f19774,plain,
! [X111,X112,X110] : top = join(composition(join(X112,X110),X111),complement(composition(X110,X111))),
inference(forward_demodulation,[],[f19599,f1908]) ).
fof(f19599,plain,
! [X111,X112,X110] : join(composition(join(X112,X110),X111),complement(composition(X110,X111))) = join(composition(X112,X111),top),
inference(superposition,[],[f979,f24]) ).
fof(f1652,plain,
! [X6,X5] : complement(converse(X6)) = join(complement(converse(X6)),composition(X5,complement(converse(composition(X6,X5))))),
inference(forward_demodulation,[],[f1635,f21]) ).
fof(f1635,plain,
! [X6,X5] : complement(converse(X6)) = join(complement(converse(X6)),composition(converse(converse(X5)),complement(converse(composition(X6,X5))))),
inference(superposition,[],[f34,f26]) ).
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/sandbox/tmp/tmp.uBwJPMQqEE/Vampire---4.8_12483',converse_cancellativity) ).
fof(f256944,plain,
composition(sK0,top) = composition(join(sK0,converse(sK0)),top),
inference(forward_demodulation,[],[f256943,f33]) ).
fof(f256943,plain,
composition(sK0,top) = join(composition(sK0,top),composition(converse(sK0),top)),
inference(forward_demodulation,[],[f256872,f847]) ).
fof(f256872,plain,
composition(sK0,top) = join(composition(sK0,top),composition(converse(sK0),complement(zero))),
inference(superposition,[],[f1620,f256479]) ).
fof(f256479,plain,
zero = composition(sK0,complement(composition(sK0,top))),
inference(superposition,[],[f256229,f98271]) ).
fof(f98271,plain,
! [X20] : composition(sK0,X20) = meet(X20,composition(sK0,X20)),
inference(forward_demodulation,[],[f98152,f96]) ).
fof(f98152,plain,
! [X20] : composition(sK0,X20) = meet(composition(sK0,X20),X20),
inference(superposition,[],[f2012,f97930]) ).
fof(f256229,plain,
! [X24,X25] : zero = meet(complement(composition(X24,top)),composition(X24,X25)),
inference(forward_demodulation,[],[f256090,f95]) ).
fof(f256090,plain,
! [X24,X25] : complement(top) = meet(complement(composition(X24,top)),composition(X24,X25)),
inference(superposition,[],[f1488,f255863]) ).
fof(f255863,plain,
! [X42,X43] : top = join(composition(X42,top),complement(composition(X42,X43))),
inference(forward_demodulation,[],[f255664,f1962]) ).
fof(f255664,plain,
! [X42,X43] : converse(top) = join(composition(X42,top),complement(composition(X42,X43))),
inference(superposition,[],[f21,f117683]) ).
fof(f117683,plain,
! [X18,X19] : top = converse(join(composition(X19,top),complement(composition(X19,X18)))),
inference(forward_demodulation,[],[f117682,f13921]) ).
fof(f13921,plain,
! [X8,X7] : converse(join(X8,complement(X7))) = join(converse(X8),complement(converse(X7))),
inference(superposition,[],[f27,f13692]) ).
fof(f117682,plain,
! [X18,X19] : top = join(converse(composition(X19,top)),complement(converse(composition(X19,X18)))),
inference(forward_demodulation,[],[f117582,f1977]) ).
fof(f1977,plain,
! [X1] : converse(composition(X1,top)) = composition(top,converse(X1)),
inference(superposition,[],[f26,f1962]) ).
fof(f117582,plain,
! [X18,X19] : top = join(composition(top,converse(X19)),complement(converse(composition(X19,X18)))),
inference(superposition,[],[f107714,f26]) ).
fof(f1620,plain,
! [X0,X1] : join(X0,composition(converse(X1),complement(composition(X1,complement(X0))))) = X0,
inference(superposition,[],[f34,f1447]) ).
fof(f9416,plain,
! [X6] : zero = meet(converse(X6),complement(converse(composition(top,X6)))),
inference(superposition,[],[f9315,f1976]) ).
fof(f9315,plain,
! [X26] : zero = meet(X26,complement(composition(X26,top))),
inference(superposition,[],[f5386,f9056]) ).
fof(f9056,plain,
! [X34] : composition(X34,top) = join(X34,composition(X34,top)),
inference(forward_demodulation,[],[f9055,f1962]) ).
fof(f9055,plain,
! [X34] : composition(X34,converse(top)) = join(X34,composition(X34,converse(top))),
inference(forward_demodulation,[],[f9029,f42]) ).
fof(f9029,plain,
! [X34] : converse(composition(top,converse(X34))) = join(X34,converse(composition(top,converse(X34)))),
inference(superposition,[],[f44,f7507]) ).
fof(f7507,plain,
! [X29] : composition(top,X29) = join(X29,composition(top,X29)),
inference(forward_demodulation,[],[f7438,f25]) ).
fof(f7438,plain,
! [X29] : composition(top,X29) = join(composition(top,X29),X29),
inference(superposition,[],[f7267,f4014]) ).
fof(f4014,plain,
! [X6] : meet(X6,composition(top,X6)) = X6,
inference(forward_demodulation,[],[f4002,f1447]) ).
fof(f4002,plain,
! [X6] : complement(complement(X6)) = meet(X6,composition(top,X6)),
inference(superposition,[],[f1447,f3982]) ).
fof(f3982,plain,
! [X4] : complement(X4) = complement(meet(X4,composition(top,X4))),
inference(forward_demodulation,[],[f3981,f1482]) ).
fof(f3981,plain,
! [X4] : complement(X4) = join(complement(X4),complement(composition(top,X4))),
inference(backward_demodulation,[],[f1980,f3980]) ).
fof(f3980,plain,
! [X1] : complement(composition(top,X1)) = composition(top,complement(composition(top,X1))),
inference(forward_demodulation,[],[f3979,f1962]) ).
fof(f3979,plain,
! [X1] : complement(composition(top,X1)) = composition(converse(top),complement(composition(top,X1))),
inference(forward_demodulation,[],[f3978,f1908]) ).
fof(f3978,plain,
! [X1] : complement(composition(top,X1)) = composition(converse(join(one,top)),complement(composition(top,X1))),
inference(forward_demodulation,[],[f3977,f201]) ).
fof(f201,plain,
! [X2] : converse(join(one,X2)) = join(one,converse(X2)),
inference(superposition,[],[f27,f188]) ).
fof(f3977,plain,
! [X1] : complement(composition(top,X1)) = composition(join(one,converse(top)),complement(composition(top,X1))),
inference(forward_demodulation,[],[f3969,f970]) ).
fof(f3969,plain,
! [X1] : complement(composition(top,X1)) = join(complement(composition(top,X1)),composition(converse(top),complement(composition(top,X1)))),
inference(superposition,[],[f34,f2747]) ).
fof(f2747,plain,
! [X2] : composition(top,X2) = composition(top,composition(top,X2)),
inference(superposition,[],[f31,f2726]) ).
fof(f2726,plain,
top = composition(top,top),
inference(forward_demodulation,[],[f2719,f1469]) ).
fof(f2719,plain,
top = join(composition(top,top),zero),
inference(superposition,[],[f24,f2640]) ).
fof(f2640,plain,
zero = complement(composition(top,top)),
inference(superposition,[],[f2623,f194]) ).
fof(f2623,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f2622,f2577]) ).
fof(f2577,plain,
zero = composition(top,complement(composition(top,top))),
inference(superposition,[],[f1639,f1962]) ).
fof(f1639,plain,
! [X2] : zero = composition(converse(X2),complement(composition(X2,top))),
inference(forward_demodulation,[],[f1621,f1343]) ).
fof(f1621,plain,
! [X2] : zero = join(zero,composition(converse(X2),complement(composition(X2,top)))),
inference(superposition,[],[f34,f95]) ).
fof(f2622,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f2621,f1908]) ).
fof(f2621,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f2613,f1469]) ).
fof(f2613,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(superposition,[],[f33,f2577]) ).
fof(f1980,plain,
! [X4] : complement(X4) = join(complement(X4),composition(top,complement(composition(top,X4)))),
inference(superposition,[],[f34,f1962]) ).
fof(f5386,plain,
! [X6,X5] : zero = meet(X5,complement(join(X5,X6))),
inference(forward_demodulation,[],[f5344,f96]) ).
fof(f5344,plain,
! [X6,X5] : zero = meet(complement(join(X5,X6)),X5),
inference(superposition,[],[f5188,f1871]) ).
fof(f5188,plain,
! [X2,X1] : zero = meet(complement(X1),meet(X2,X1)),
inference(superposition,[],[f5046,f96]) ).
fof(f5046,plain,
! [X0,X1] : zero = meet(complement(X0),meet(X0,X1)),
inference(superposition,[],[f5015,f1447]) ).
fof(f5015,plain,
! [X10,X9] : zero = meet(X9,meet(complement(X9),X10)),
inference(forward_demodulation,[],[f5014,f1534]) ).
fof(f5014,plain,
! [X10,X9] : zero = meet(top,meet(X9,meet(complement(X9),X10))),
inference(forward_demodulation,[],[f4975,f96]) ).
fof(f4975,plain,
! [X10,X9] : zero = meet(meet(X9,meet(complement(X9),X10)),top),
inference(superposition,[],[f23,f4547]) ).
fof(f4547,plain,
! [X10,X9] : top = complement(meet(X9,meet(complement(X9),X10))),
inference(superposition,[],[f4465,f1482]) ).
fof(f4465,plain,
! [X0,X1] : top = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f1942,f1482]) ).
fof(f4459,plain,
! [X0,X1] : join(complement(X1),X0) = complement(meet(X1,complement(X0))),
inference(superposition,[],[f1482,f1447]) ).
fof(f267567,plain,
join(sK0,complement(converse(sK0))) = join(complement(converse(sK0)),composition(sK0,top)),
inference(superposition,[],[f98149,f118112]) ).
fof(f118112,plain,
! [X140] : composition(X140,top) = join(X140,composition(X140,complement(converse(sK0)))),
inference(forward_demodulation,[],[f118111,f13692]) ).
fof(f118111,plain,
! [X140] : composition(X140,top) = join(X140,composition(X140,converse(complement(sK0)))),
inference(forward_demodulation,[],[f118110,f42]) ).
fof(f118110,plain,
! [X140] : composition(X140,top) = join(X140,converse(composition(complement(sK0),converse(X140)))),
inference(forward_demodulation,[],[f118109,f1962]) ).
fof(f118109,plain,
! [X140] : join(X140,converse(composition(complement(sK0),converse(X140)))) = composition(X140,converse(top)),
inference(forward_demodulation,[],[f117940,f42]) ).
fof(f117940,plain,
! [X140] : join(X140,converse(composition(complement(sK0),converse(X140)))) = converse(composition(top,converse(X140))),
inference(superposition,[],[f44,f97634]) ).
fof(f97634,plain,
! [X70] : composition(top,X70) = join(X70,composition(complement(sK0),X70)),
inference(superposition,[],[f970,f1914]) ).
fof(f1914,plain,
top = join(one,complement(sK0)),
inference(backward_demodulation,[],[f471,f1908]) ).
fof(f471,plain,
join(one,complement(sK0)) = join(one,top),
inference(superposition,[],[f441,f24]) ).
fof(f441,plain,
! [X14] : join(one,join(sK0,X14)) = join(one,X14),
inference(superposition,[],[f32,f38]) ).
fof(f98149,plain,
! [X11,X12] : join(X12,X11) = join(X11,join(X12,composition(sK0,X11))),
inference(superposition,[],[f460,f97930]) ).
fof(f101689,plain,
! [X56,X57] : meet(join(X56,X57),join(X56,complement(X57))) = X56,
inference(forward_demodulation,[],[f101201,f1447]) ).
fof(f101201,plain,
! [X56,X57] : complement(complement(X56)) = meet(join(X56,X57),join(X56,complement(X57))),
inference(superposition,[],[f1447,f6615]) ).
fof(f6615,plain,
! [X6,X7] : complement(X6) = complement(meet(join(X6,X7),join(X6,complement(X7)))),
inference(backward_demodulation,[],[f1528,f6546]) ).
fof(f6546,plain,
! [X31,X32,X30] : complement(meet(X32,join(X30,complement(X31)))) = join(complement(X32),meet(complement(X30),X31)),
inference(superposition,[],[f1482,f1488]) ).
fof(f1528,plain,
! [X6,X7] : complement(X6) = join(complement(join(X6,X7)),meet(complement(X6),X7)),
inference(forward_demodulation,[],[f1490,f25]) ).
fof(f1490,plain,
! [X6,X7] : complement(X6) = join(meet(complement(X6),X7),complement(join(X6,X7))),
inference(superposition,[],[f37,f1447]) ).
fof(f268634,plain,
converse(sK0) = join(sK0,converse(sK0)),
inference(forward_demodulation,[],[f268553,f25]) ).
fof(f268553,plain,
converse(sK0) = join(converse(sK0),sK0),
inference(superposition,[],[f45,f268211]) ).
fof(f45,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f27,f21]) ).
fof(f20,plain,
sK0 != converse(sK0),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL025+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 22:22:53 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_PEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.uBwJPMQqEE/Vampire---4.8_12483
% 0.15/0.37 % (12774)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (12786)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 % (12787)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 % (12783)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 % (12789)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 % (12791)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 % (12792)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)
% 0.23/0.43 % (12785)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)
% 25.16/3.98 % (12787)First to succeed.
% 25.16/3.99 % (12787)Refutation found. Thanks to Tanya!
% 25.16/3.99 % SZS status Theorem for Vampire---4
% 25.16/3.99 % SZS output start Proof for Vampire---4
% See solution above
% 25.16/3.99 % (12787)------------------------------
% 25.16/3.99 % (12787)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 25.16/3.99 % (12787)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 25.16/3.99 % (12787)Termination reason: Refutation
% 25.16/3.99
% 25.16/3.99 % (12787)Memory used [KB]: 150829
% 25.16/3.99 % (12787)Time elapsed: 3.544 s
% 25.16/3.99 % (12787)------------------------------
% 25.16/3.99 % (12787)------------------------------
% 25.16/3.99 % (12774)Success in time 3.571 s
% 25.16/3.99 % Vampire---4.8 exiting
%------------------------------------------------------------------------------