TSTP Solution File: REL007-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : REL007-1 : 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 : n019.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 13:44:41 EDT 2023
% Result : Unsatisfiable 0.23s 0.63s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 14
% Syntax : Number of formulae : 160 ( 160 unt; 0 def)
% Number of atoms : 160 ( 159 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 168 (; 168 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13467,plain,
$false,
inference(subsumption_resolution,[],[f13466,f18]) ).
fof(f18,plain,
zero != sF1,
inference(definition_folding,[],[f15,f17,f16]) ).
fof(f16,plain,
converse(sk1) = sF0,
introduced(function_definition,[]) ).
fof(f17,plain,
meet(sF0,sk2) = sF1,
introduced(function_definition,[]) ).
fof(f15,axiom,
zero != meet(converse(sk1),sk2),
file('/export/starexec/sandbox2/tmp/tmp.qA0riH8wNy/Vampire---4.8_8746',goals_15) ).
fof(f13466,plain,
zero = sF1,
inference(forward_demodulation,[],[f13449,f3424]) ).
fof(f3424,plain,
zero = converse(zero),
inference(superposition,[],[f3351,f3150]) ).
fof(f3150,plain,
! [X1] : join(zero,X1) = X1,
inference(superposition,[],[f2282,f1743]) ).
fof(f1743,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f1716,f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.qA0riH8wNy/Vampire---4.8_8746',maddux4_definiton_of_meet_4) ).
fof(f1716,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f26,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/tmp/tmp.qA0riH8wNy/Vampire---4.8_8746',def_zero_13) ).
fof(f26,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f25,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.qA0riH8wNy/Vampire---4.8_8746',maddux1_join_commutativity_1) ).
fof(f25,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f24,f4]) ).
fof(f24,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f3,f1]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/tmp/tmp.qA0riH8wNy/Vampire---4.8_8746',maddux3_a_kind_of_de_Morgan_3) ).
fof(f2282,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f2,f2225]) ).
fof(f2225,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f2224,f38]) ).
fof(f38,plain,
zero = complement(top),
inference(forward_demodulation,[],[f33,f13]) ).
fof(f33,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f4,f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/tmp/tmp.qA0riH8wNy/Vampire---4.8_8746',def_top_12) ).
fof(f2224,plain,
zero = join(zero,complement(top)),
inference(forward_demodulation,[],[f2223,f1]) ).
fof(f2223,plain,
zero = join(complement(top),zero),
inference(forward_demodulation,[],[f2222,f2217]) ).
fof(f2217,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[],[f2216,f38]) ).
fof(f2216,plain,
! [X0] : complement(top) = meet(zero,X0),
inference(forward_demodulation,[],[f2203,f1936]) ).
fof(f1936,plain,
! [X1] : top = join(top,X1),
inference(superposition,[],[f1924,f1]) ).
fof(f1924,plain,
! [X6] : top = join(X6,top),
inference(backward_demodulation,[],[f1375,f1921]) ).
fof(f1921,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1908,f46]) ).
fof(f46,plain,
top = join(top,zero),
inference(superposition,[],[f12,f38]) ).
fof(f1908,plain,
! [X0] : join(top,zero) = join(top,complement(X0)),
inference(superposition,[],[f1770,f13]) ).
fof(f1770,plain,
! [X0,X1] : join(top,X1) = join(top,meet(X0,X1)),
inference(forward_demodulation,[],[f1769,f1293]) ).
fof(f1293,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f12]) ).
fof(f1769,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,meet(X0,X1)),
inference(forward_demodulation,[],[f1739,f1]) ).
fof(f1739,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,meet(X0,X1)),
inference(superposition,[],[f1372,f26]) ).
fof(f1372,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f1293,f1]) ).
fof(f1375,plain,
! [X6] : join(top,complement(complement(X6))) = join(X6,top),
inference(superposition,[],[f1293,f12]) ).
fof(f2203,plain,
! [X0] : meet(zero,X0) = complement(join(top,complement(X0))),
inference(superposition,[],[f4,f2199]) ).
fof(f2199,plain,
top = complement(zero),
inference(backward_demodulation,[],[f1856,f2194]) ).
fof(f2194,plain,
! [X0] : join(zero,meet(top,X0)) = X0,
inference(superposition,[],[f2085,f39]) ).
fof(f39,plain,
! [X2,X1] : meet(X1,X2) = meet(X2,X1),
inference(forward_demodulation,[],[f34,f4]) ).
fof(f34,plain,
! [X2,X1] : meet(X1,X2) = complement(join(complement(X2),complement(X1))),
inference(superposition,[],[f4,f1]) ).
fof(f2085,plain,
! [X10] : join(zero,meet(X10,top)) = X10,
inference(forward_demodulation,[],[f2084,f38]) ).
fof(f2084,plain,
! [X10] : join(complement(top),meet(X10,top)) = X10,
inference(forward_demodulation,[],[f1947,f1]) ).
fof(f1947,plain,
! [X10] : join(meet(X10,top),complement(top)) = X10,
inference(superposition,[],[f26,f1924]) ).
fof(f1856,plain,
top = join(zero,meet(top,complement(zero))),
inference(superposition,[],[f1766,f38]) ).
fof(f1766,plain,
! [X12] : join(zero,meet(X12,complement(complement(X12)))) = X12,
inference(forward_demodulation,[],[f1765,f38]) ).
fof(f1765,plain,
! [X12] : join(complement(top),meet(X12,complement(complement(X12)))) = X12,
inference(forward_demodulation,[],[f1736,f1]) ).
fof(f1736,plain,
! [X12] : join(meet(X12,complement(complement(X12))),complement(top)) = X12,
inference(superposition,[],[f26,f12]) ).
fof(f2222,plain,
! [X2] : zero = join(complement(top),meet(zero,X2)),
inference(forward_demodulation,[],[f2221,f1]) ).
fof(f2221,plain,
! [X2] : zero = join(meet(zero,X2),complement(top)),
inference(forward_demodulation,[],[f2207,f1936]) ).
fof(f2207,plain,
! [X2] : zero = join(meet(zero,X2),complement(join(top,X2))),
inference(superposition,[],[f26,f2199]) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.qA0riH8wNy/Vampire---4.8_8746',maddux2_join_associativity_2) ).
fof(f3351,plain,
! [X12] : join(X12,converse(zero)) = X12,
inference(forward_demodulation,[],[f3337,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.qA0riH8wNy/Vampire---4.8_8746',converse_idempotence_8) ).
fof(f3337,plain,
! [X12] : join(X12,converse(zero)) = converse(converse(X12)),
inference(superposition,[],[f81,f3271]) ).
fof(f3271,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f3270,f38]) ).
fof(f3270,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(forward_demodulation,[],[f3269,f12]) ).
fof(f3269,plain,
! [X0] : join(X0,complement(join(X0,complement(X0)))) = X0,
inference(forward_demodulation,[],[f3268,f1]) ).
fof(f3268,plain,
! [X0] : join(X0,complement(join(complement(X0),X0))) = X0,
inference(superposition,[],[f26,f3193]) ).
fof(f3193,plain,
! [X0] : meet(X0,X0) = X0,
inference(backward_demodulation,[],[f1743,f3150]) ).
fof(f81,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f9,f8]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.qA0riH8wNy/Vampire---4.8_8746',converse_additivity_9) ).
fof(f13449,plain,
sF1 = converse(zero),
inference(superposition,[],[f8,f13417]) ).
fof(f13417,plain,
zero = converse(sF1),
inference(forward_demodulation,[],[f13405,f13291]) ).
fof(f13291,plain,
converse(sF1) = meet(sF2,converse(sF1)),
inference(forward_demodulation,[],[f13290,f19]) ).
fof(f19,plain,
converse(sk2) = sF2,
introduced(function_definition,[]) ).
fof(f13290,plain,
converse(sF1) = meet(converse(sk2),converse(sF1)),
inference(forward_demodulation,[],[f12996,f39]) ).
fof(f12996,plain,
converse(sF1) = meet(converse(sF1),converse(sk2)),
inference(superposition,[],[f3517,f1756]) ).
fof(f1756,plain,
sk2 = join(sF1,complement(join(sF0,complement(sk2)))),
inference(forward_demodulation,[],[f1724,f1]) ).
fof(f1724,plain,
sk2 = join(sF1,complement(join(complement(sk2),sF0))),
inference(superposition,[],[f26,f49]) ).
fof(f49,plain,
sF1 = meet(sk2,sF0),
inference(superposition,[],[f39,f17]) ).
fof(f3517,plain,
! [X24,X25] : converse(X24) = meet(converse(X24),converse(join(X24,X25))),
inference(superposition,[],[f3230,f9]) ).
fof(f3230,plain,
! [X4,X5] : meet(X4,join(X4,X5)) = X4,
inference(forward_demodulation,[],[f3229,f3182]) ).
fof(f3182,plain,
! [X2,X3] : join(X2,X3) = join(meet(X2,top),X3),
inference(backward_demodulation,[],[f2196,f3150]) ).
fof(f2196,plain,
! [X2,X3] : join(X2,X3) = join(zero,join(meet(X2,top),X3)),
inference(superposition,[],[f2,f2085]) ).
fof(f3229,plain,
! [X4,X5] : meet(X4,join(meet(X4,top),X5)) = X4,
inference(forward_demodulation,[],[f3200,f3184]) ).
fof(f3184,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(backward_demodulation,[],[f47,f3150]) ).
fof(f47,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f43,f1]) ).
fof(f43,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f4,f38]) ).
fof(f3200,plain,
! [X4,X5] : meet(X4,join(complement(complement(X4)),X5)) = X4,
inference(backward_demodulation,[],[f2005,f3150]) ).
fof(f2005,plain,
! [X4,X5] : join(zero,meet(X4,join(complement(complement(X4)),X5))) = X4,
inference(forward_demodulation,[],[f1983,f38]) ).
fof(f1983,plain,
! [X4,X5] : join(complement(top),meet(X4,join(complement(complement(X4)),X5))) = X4,
inference(backward_demodulation,[],[f1759,f1936]) ).
fof(f1759,plain,
! [X4,X5] : join(complement(join(top,X5)),meet(X4,join(complement(complement(X4)),X5))) = X4,
inference(forward_demodulation,[],[f1732,f1]) ).
fof(f1732,plain,
! [X4,X5] : join(meet(X4,join(complement(complement(X4)),X5)),complement(join(top,X5))) = X4,
inference(superposition,[],[f26,f1293]) ).
fof(f13405,plain,
zero = meet(sF2,converse(sF1)),
inference(superposition,[],[f7974,f13289]) ).
fof(f13289,plain,
converse(sF1) = meet(sk1,converse(sF1)),
inference(forward_demodulation,[],[f13288,f27]) ).
fof(f27,plain,
sk1 = converse(sF0),
inference(superposition,[],[f8,f16]) ).
fof(f13288,plain,
converse(sF1) = meet(converse(sF0),converse(sF1)),
inference(forward_demodulation,[],[f12995,f39]) ).
fof(f12995,plain,
converse(sF1) = meet(converse(sF1),converse(sF0)),
inference(superposition,[],[f3517,f1757]) ).
fof(f1757,plain,
sF0 = join(sF1,complement(join(sk2,complement(sF0)))),
inference(forward_demodulation,[],[f1725,f1]) ).
fof(f1725,plain,
sF0 = join(sF1,complement(join(complement(sF0),sk2))),
inference(superposition,[],[f26,f17]) ).
fof(f7974,plain,
! [X0] : zero = meet(sF2,meet(sk1,X0)),
inference(superposition,[],[f7936,f39]) ).
fof(f7936,plain,
! [X4] : zero = meet(sF2,meet(X4,sk1)),
inference(forward_demodulation,[],[f7935,f3242]) ).
fof(f3242,plain,
! [X1] : meet(top,X1) = X1,
inference(forward_demodulation,[],[f3203,f3213]) ).
fof(f3213,plain,
! [X6] : meet(top,X6) = meet(X6,meet(top,X6)),
inference(forward_demodulation,[],[f3212,f4]) ).
fof(f3212,plain,
! [X6] : meet(top,X6) = complement(join(complement(X6),complement(meet(top,X6)))),
inference(forward_demodulation,[],[f3178,f3150]) ).
fof(f3178,plain,
! [X6] : meet(top,X6) = join(zero,complement(join(complement(X6),complement(meet(top,X6))))),
inference(backward_demodulation,[],[f1752,f3150]) ).
fof(f1752,plain,
! [X6] : meet(top,X6) = join(zero,complement(join(zero,join(complement(X6),complement(meet(top,X6)))))),
inference(forward_demodulation,[],[f1751,f2]) ).
fof(f1751,plain,
! [X6] : meet(top,X6) = join(zero,complement(join(join(zero,complement(X6)),complement(meet(top,X6))))),
inference(forward_demodulation,[],[f1721,f1]) ).
fof(f1721,plain,
! [X6] : meet(top,X6) = join(zero,complement(join(complement(meet(top,X6)),join(zero,complement(X6))))),
inference(superposition,[],[f26,f1207]) ).
fof(f1207,plain,
! [X0] : zero = meet(meet(top,X0),join(zero,complement(X0))),
inference(superposition,[],[f69,f39]) ).
fof(f69,plain,
! [X4] : zero = meet(meet(X4,top),join(zero,complement(X4))),
inference(forward_demodulation,[],[f59,f39]) ).
fof(f59,plain,
! [X4] : zero = meet(join(zero,complement(X4)),meet(X4,top)),
inference(superposition,[],[f13,f47]) ).
fof(f3203,plain,
! [X1] : meet(X1,meet(top,X1)) = X1,
inference(backward_demodulation,[],[f3013,f3150]) ).
fof(f3013,plain,
! [X1] : join(zero,meet(X1,meet(top,X1))) = X1,
inference(forward_demodulation,[],[f3012,f38]) ).
fof(f3012,plain,
! [X1] : join(complement(top),meet(X1,meet(top,X1))) = X1,
inference(forward_demodulation,[],[f2996,f1]) ).
fof(f2996,plain,
! [X1] : join(meet(X1,meet(top,X1)),complement(top)) = X1,
inference(superposition,[],[f26,f2956]) ).
fof(f2956,plain,
! [X0] : top = join(complement(X0),meet(top,X0)),
inference(superposition,[],[f2950,f39]) ).
fof(f2950,plain,
! [X4] : top = join(complement(X4),meet(X4,top)),
inference(forward_demodulation,[],[f2949,f47]) ).
fof(f2949,plain,
! [X4] : top = join(complement(X4),complement(join(zero,complement(X4)))),
inference(forward_demodulation,[],[f2948,f2282]) ).
fof(f2948,plain,
! [X4] : top = join(complement(X4),complement(join(zero,join(zero,complement(X4))))),
inference(forward_demodulation,[],[f2947,f38]) ).
fof(f2947,plain,
! [X4] : top = join(complement(X4),complement(join(zero,join(complement(top),complement(X4))))),
inference(forward_demodulation,[],[f2938,f1324]) ).
fof(f1324,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(X3,join(X2,X4)),
inference(forward_demodulation,[],[f1294,f2]) ).
fof(f1294,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(join(X3,X2),X4),
inference(superposition,[],[f2,f1]) ).
fof(f2938,plain,
! [X4] : top = join(complement(X4),complement(join(complement(top),join(zero,complement(X4))))),
inference(superposition,[],[f26,f2087]) ).
fof(f2087,plain,
! [X2] : complement(X2) = meet(top,join(zero,complement(X2))),
inference(backward_demodulation,[],[f62,f2085]) ).
fof(f62,plain,
! [X2] : complement(join(zero,meet(X2,top))) = meet(top,join(zero,complement(X2))),
inference(forward_demodulation,[],[f54,f39]) ).
fof(f54,plain,
! [X2] : meet(join(zero,complement(X2)),top) = complement(join(zero,meet(X2,top))),
inference(superposition,[],[f47,f47]) ).
fof(f7935,plain,
! [X4] : zero = meet(top,meet(sF2,meet(X4,sk1))),
inference(forward_demodulation,[],[f7912,f39]) ).
fof(f7912,plain,
! [X4] : zero = meet(meet(sF2,meet(X4,sk1)),top),
inference(superposition,[],[f13,f7540]) ).
fof(f7540,plain,
! [X11] : top = complement(meet(sF2,meet(X11,sk1))),
inference(forward_demodulation,[],[f7539,f3246]) ).
fof(f3246,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(backward_demodulation,[],[f3196,f3242]) ).
fof(f3196,plain,
! [X0,X1] : meet(top,join(complement(X0),complement(X1))) = complement(meet(X0,X1)),
inference(backward_demodulation,[],[f61,f3150]) ).
fof(f61,plain,
! [X0,X1] : complement(join(zero,meet(X0,X1))) = meet(top,join(complement(X0),complement(X1))),
inference(forward_demodulation,[],[f53,f39]) ).
fof(f53,plain,
! [X0,X1] : meet(join(complement(X0),complement(X1)),top) = complement(join(zero,meet(X0,X1))),
inference(superposition,[],[f47,f4]) ).
fof(f7539,plain,
! [X11] : top = join(complement(sF2),complement(meet(X11,sk1))),
inference(forward_demodulation,[],[f7527,f1]) ).
fof(f7527,plain,
! [X11] : top = join(complement(meet(X11,sk1)),complement(sF2)),
inference(superposition,[],[f6944,f6951]) ).
fof(f6951,plain,
! [X33] : sF2 = meet(sF2,complement(meet(X33,sk1))),
inference(superposition,[],[f4055,f3246]) ).
fof(f4055,plain,
! [X91] : sF2 = meet(sF2,join(X91,complement(sk1))),
inference(superposition,[],[f3669,f3192]) ).
fof(f3192,plain,
complement(sk1) = join(sF2,complement(sk1)),
inference(backward_demodulation,[],[f2311,f3150]) ).
fof(f2311,plain,
join(sF2,complement(sk1)) = join(zero,complement(sk1)),
inference(superposition,[],[f2194,f1806]) ).
fof(f1806,plain,
complement(sk1) = meet(top,join(sF2,complement(sk1))),
inference(forward_demodulation,[],[f1794,f39]) ).
fof(f1794,plain,
complement(sk1) = meet(join(sF2,complement(sk1)),top),
inference(superposition,[],[f47,f1755]) ).
fof(f1755,plain,
sk1 = join(zero,complement(join(sF2,complement(sk1)))),
inference(forward_demodulation,[],[f1723,f1]) ).
fof(f1723,plain,
sk1 = join(zero,complement(join(complement(sk1),sF2))),
inference(superposition,[],[f26,f22]) ).
fof(f22,plain,
zero = meet(sk1,sF2),
inference(backward_demodulation,[],[f20,f21]) ).
fof(f21,plain,
zero = sF3,
inference(definition_folding,[],[f14,f20,f19]) ).
fof(f14,axiom,
zero = meet(sk1,converse(sk2)),
file('/export/starexec/sandbox2/tmp/tmp.qA0riH8wNy/Vampire---4.8_8746',goals_14) ).
fof(f20,plain,
meet(sk1,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f3669,plain,
! [X2,X0,X1] : meet(X1,join(X2,join(X1,X0))) = X1,
inference(superposition,[],[f3565,f1]) ).
fof(f3565,plain,
! [X18,X16,X17] : meet(X18,join(X16,join(X17,X18))) = X18,
inference(superposition,[],[f3238,f2]) ).
fof(f3238,plain,
! [X10,X11] : meet(X10,join(X11,X10)) = X10,
inference(backward_demodulation,[],[f3228,f3232]) ).
fof(f3232,plain,
! [X12] : meet(X12,top) = X12,
inference(forward_demodulation,[],[f3231,f3211]) ).
fof(f3211,plain,
! [X5] : meet(X5,top) = meet(X5,meet(X5,top)),
inference(forward_demodulation,[],[f3210,f4]) ).
fof(f3210,plain,
! [X5] : meet(X5,top) = complement(join(complement(X5),complement(meet(X5,top)))),
inference(forward_demodulation,[],[f3177,f3150]) ).
fof(f3177,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(complement(X5),complement(meet(X5,top))))),
inference(backward_demodulation,[],[f1750,f3150]) ).
fof(f1750,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(zero,join(complement(X5),complement(meet(X5,top)))))),
inference(forward_demodulation,[],[f1749,f2]) ).
fof(f1749,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(join(zero,complement(X5)),complement(meet(X5,top))))),
inference(forward_demodulation,[],[f1720,f1]) ).
fof(f1720,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(complement(meet(X5,top)),join(zero,complement(X5))))),
inference(superposition,[],[f26,f69]) ).
fof(f3231,plain,
! [X12] : meet(X12,meet(X12,top)) = X12,
inference(forward_demodulation,[],[f3201,f3184]) ).
fof(f3201,plain,
! [X12] : meet(X12,complement(complement(X12))) = X12,
inference(backward_demodulation,[],[f1766,f3150]) ).
fof(f3228,plain,
! [X10,X11] : meet(X10,join(X11,meet(X10,top))) = X10,
inference(forward_demodulation,[],[f3199,f3184]) ).
fof(f3199,plain,
! [X10,X11] : meet(X10,join(X11,complement(complement(X10)))) = X10,
inference(backward_demodulation,[],[f2006,f3150]) ).
fof(f2006,plain,
! [X10,X11] : join(zero,meet(X10,join(X11,complement(complement(X10))))) = X10,
inference(forward_demodulation,[],[f1984,f38]) ).
fof(f1984,plain,
! [X10,X11] : join(complement(top),meet(X10,join(X11,complement(complement(X10))))) = X10,
inference(backward_demodulation,[],[f1764,f1936]) ).
fof(f1764,plain,
! [X10,X11] : join(complement(join(top,X11)),meet(X10,join(X11,complement(complement(X10))))) = X10,
inference(forward_demodulation,[],[f1735,f1]) ).
fof(f1735,plain,
! [X10,X11] : join(meet(X10,join(X11,complement(complement(X10)))),complement(join(top,X11))) = X10,
inference(superposition,[],[f26,f1372]) ).
fof(f6944,plain,
! [X22,X23] : top = join(X23,complement(meet(X22,X23))),
inference(superposition,[],[f1962,f3246]) ).
fof(f1962,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(backward_demodulation,[],[f1372,f1936]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : REL007-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n019.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri Aug 25 20:36:28 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.qA0riH8wNy/Vampire---4.8_8746
% 0.16/0.37 % (8900)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40 % (8901)lrs+10_4_av=off:bd=preordered:drc=off:nwc=1.3:sims=off:sp=weighted_frequency:tgt=ground:stl=125_728 on Vampire---4 for (728ds/0Mi)
% 0.16/0.42 % (8903)ott+10_20_av=off:drc=off:fde=none:sp=occurrence:tgt=ground_676 on Vampire---4 for (676ds/0Mi)
% 0.16/0.43 % (8902)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_682 on Vampire---4 for (682ds/0Mi)
% 0.16/0.43 % (8905)ott+10_5_av=off:bd=preordered:drc=off:fde=unused:nwc=2.5:sp=occurrence:to=lpo:tgt=ground_501 on Vampire---4 for (501ds/0Mi)
% 0.16/0.43 % (8906)ott+10_64_av=off:bd=preordered:drc=off:fde=unused:sims=off:sp=reverse_arity:tgt=ground_474 on Vampire---4 for (474ds/0Mi)
% 0.16/0.43 % (8904)ott+10_32_av=off:drc=off:fde=none:nwc=5.0:sp=reverse_weighted_frequency:tgt=full_552 on Vampire---4 for (552ds/0Mi)
% 0.16/0.43 % (8907)lrs+10_7_av=off:bd=preordered:drc=off:fde=none:nwc=2.5:sp=reverse_arity:to=lpo:stl=188_323 on Vampire---4 for (323ds/0Mi)
% 0.23/0.63 % (8906)First to succeed.
% 0.23/0.63 % (8906)Refutation found. Thanks to Tanya!
% 0.23/0.63 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.63 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.63 % (8906)------------------------------
% 0.23/0.63 % (8906)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.63 % (8906)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.63 % (8906)Termination reason: Refutation
% 0.23/0.63
% 0.23/0.63 % (8906)Memory used [KB]: 7675
% 0.23/0.63 % (8906)Time elapsed: 0.205 s
% 0.23/0.63 % (8906)------------------------------
% 0.23/0.63 % (8906)------------------------------
% 0.23/0.63 % (8900)Success in time 0.265 s
% 0.23/0.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------