TSTP Solution File: REL006-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : REL006-1 : 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 : n006.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 0.21s 0.63s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 14
% Syntax : Number of formulae : 163 ( 163 unt; 0 def)
% Number of atoms : 163 ( 162 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 : 174 (; 174 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15201,plain,
$false,
inference(subsumption_resolution,[],[f15200,f18]) ).
fof(f18,plain,
zero != sF1,
inference(definition_folding,[],[f15,f17,f16]) ).
fof(f16,plain,
converse(sk2) = sF0,
introduced(function_definition,[]) ).
fof(f17,plain,
meet(sk1,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f15,axiom,
zero != meet(sk1,converse(sk2)),
file('/export/starexec/sandbox2/tmp/tmp.sqYqzWeu8O/Vampire---4.8_7128',goals_15) ).
fof(f15200,plain,
zero = sF1,
inference(forward_demodulation,[],[f15183,f3479]) ).
fof(f3479,plain,
zero = converse(zero),
inference(superposition,[],[f3406,f3233]) ).
fof(f3233,plain,
! [X1] : join(zero,X1) = X1,
inference(superposition,[],[f2311,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.sqYqzWeu8O/Vampire---4.8_7128',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.sqYqzWeu8O/Vampire---4.8_7128',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.sqYqzWeu8O/Vampire---4.8_7128',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.sqYqzWeu8O/Vampire---4.8_7128',maddux3_a_kind_of_de_Morgan_3) ).
fof(f2311,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f2,f2254]) ).
fof(f2254,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f2253,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.sqYqzWeu8O/Vampire---4.8_7128',def_top_12) ).
fof(f2253,plain,
zero = join(zero,complement(top)),
inference(forward_demodulation,[],[f2252,f1]) ).
fof(f2252,plain,
zero = join(complement(top),zero),
inference(forward_demodulation,[],[f2251,f2246]) ).
fof(f2246,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[],[f2245,f38]) ).
fof(f2245,plain,
! [X0] : complement(top) = meet(zero,X0),
inference(forward_demodulation,[],[f2232,f1963]) ).
fof(f1963,plain,
! [X1] : top = join(top,X1),
inference(superposition,[],[f1951,f1]) ).
fof(f1951,plain,
! [X6] : top = join(X6,top),
inference(backward_demodulation,[],[f1375,f1949]) ).
fof(f1949,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1936,f46]) ).
fof(f46,plain,
top = join(top,zero),
inference(superposition,[],[f12,f38]) ).
fof(f1936,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(f2232,plain,
! [X0] : meet(zero,X0) = complement(join(top,complement(X0))),
inference(superposition,[],[f4,f2228]) ).
fof(f2228,plain,
top = complement(zero),
inference(backward_demodulation,[],[f1856,f2223]) ).
fof(f2223,plain,
! [X0] : join(zero,meet(top,X0)) = X0,
inference(superposition,[],[f2114,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(f2114,plain,
! [X10] : join(zero,meet(X10,top)) = X10,
inference(forward_demodulation,[],[f2113,f38]) ).
fof(f2113,plain,
! [X10] : join(complement(top),meet(X10,top)) = X10,
inference(forward_demodulation,[],[f1974,f1]) ).
fof(f1974,plain,
! [X10] : join(meet(X10,top),complement(top)) = X10,
inference(superposition,[],[f26,f1951]) ).
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(f2251,plain,
! [X2] : zero = join(complement(top),meet(zero,X2)),
inference(forward_demodulation,[],[f2250,f1]) ).
fof(f2250,plain,
! [X2] : zero = join(meet(zero,X2),complement(top)),
inference(forward_demodulation,[],[f2236,f1963]) ).
fof(f2236,plain,
! [X2] : zero = join(meet(zero,X2),complement(join(top,X2))),
inference(superposition,[],[f26,f2228]) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.sqYqzWeu8O/Vampire---4.8_7128',maddux2_join_associativity_2) ).
fof(f3406,plain,
! [X12] : join(X12,converse(zero)) = X12,
inference(forward_demodulation,[],[f3392,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.sqYqzWeu8O/Vampire---4.8_7128',converse_idempotence_8) ).
fof(f3392,plain,
! [X12] : join(X12,converse(zero)) = converse(converse(X12)),
inference(superposition,[],[f81,f3354]) ).
fof(f3354,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f3353,f38]) ).
fof(f3353,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(forward_demodulation,[],[f3352,f12]) ).
fof(f3352,plain,
! [X0] : join(X0,complement(join(X0,complement(X0)))) = X0,
inference(forward_demodulation,[],[f3351,f1]) ).
fof(f3351,plain,
! [X0] : join(X0,complement(join(complement(X0),X0))) = X0,
inference(superposition,[],[f26,f3277]) ).
fof(f3277,plain,
! [X0] : meet(X0,X0) = X0,
inference(backward_demodulation,[],[f1743,f3233]) ).
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.sqYqzWeu8O/Vampire---4.8_7128',converse_additivity_9) ).
fof(f15183,plain,
sF1 = converse(zero),
inference(superposition,[],[f8,f15151]) ).
fof(f15151,plain,
zero = converse(sF1),
inference(forward_demodulation,[],[f15139,f15049]) ).
fof(f15049,plain,
converse(sF1) = meet(sk2,converse(sF1)),
inference(forward_demodulation,[],[f15048,f27]) ).
fof(f27,plain,
sk2 = converse(sF0),
inference(superposition,[],[f8,f16]) ).
fof(f15048,plain,
converse(sF1) = meet(converse(sF0),converse(sF1)),
inference(forward_demodulation,[],[f14742,f39]) ).
fof(f14742,plain,
converse(sF1) = meet(converse(sF1),converse(sF0)),
inference(superposition,[],[f3572,f3859]) ).
fof(f3859,plain,
sF0 = join(sF1,complement(join(sF1,complement(sF0)))),
inference(forward_demodulation,[],[f3858,f1]) ).
fof(f3858,plain,
sF0 = join(sF1,complement(join(complement(sF0),sF1))),
inference(superposition,[],[f26,f3839]) ).
fof(f3839,plain,
sF1 = meet(sF0,sF1),
inference(superposition,[],[f3697,f17]) ).
fof(f3697,plain,
! [X2,X1] : meet(X2,X1) = meet(X1,meet(X2,X1)),
inference(superposition,[],[f3599,f39]) ).
fof(f3599,plain,
! [X19,X20] : meet(X19,X20) = meet(X19,meet(X19,X20)),
inference(forward_demodulation,[],[f3569,f39]) ).
fof(f3569,plain,
! [X19,X20] : meet(X19,X20) = meet(meet(X19,X20),X19),
inference(superposition,[],[f3314,f26]) ).
fof(f3314,plain,
! [X4,X5] : meet(X4,join(X4,X5)) = X4,
inference(forward_demodulation,[],[f3313,f3265]) ).
fof(f3265,plain,
! [X2,X3] : join(X2,X3) = join(meet(X2,top),X3),
inference(backward_demodulation,[],[f2225,f3233]) ).
fof(f2225,plain,
! [X2,X3] : join(X2,X3) = join(zero,join(meet(X2,top),X3)),
inference(superposition,[],[f2,f2114]) ).
fof(f3313,plain,
! [X4,X5] : meet(X4,join(meet(X4,top),X5)) = X4,
inference(forward_demodulation,[],[f3284,f3267]) ).
fof(f3267,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(backward_demodulation,[],[f47,f3233]) ).
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(f3284,plain,
! [X4,X5] : meet(X4,join(complement(complement(X4)),X5)) = X4,
inference(backward_demodulation,[],[f2031,f3233]) ).
fof(f2031,plain,
! [X4,X5] : join(zero,meet(X4,join(complement(complement(X4)),X5))) = X4,
inference(forward_demodulation,[],[f2010,f38]) ).
fof(f2010,plain,
! [X4,X5] : join(complement(top),meet(X4,join(complement(complement(X4)),X5))) = X4,
inference(backward_demodulation,[],[f1759,f1963]) ).
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(f3572,plain,
! [X24,X25] : converse(X24) = meet(converse(X24),converse(join(X24,X25))),
inference(superposition,[],[f3314,f9]) ).
fof(f15139,plain,
zero = meet(sk2,converse(sF1)),
inference(superposition,[],[f8404,f15045]) ).
fof(f15045,plain,
converse(sF1) = meet(sF2,converse(sF1)),
inference(forward_demodulation,[],[f15044,f19]) ).
fof(f19,plain,
converse(sk1) = sF2,
introduced(function_definition,[]) ).
fof(f15044,plain,
converse(sF1) = meet(converse(sk1),converse(sF1)),
inference(forward_demodulation,[],[f14740,f39]) ).
fof(f14740,plain,
converse(sF1) = meet(converse(sF1),converse(sk1)),
inference(superposition,[],[f3572,f1755]) ).
fof(f1755,plain,
sk1 = join(sF1,complement(join(sF0,complement(sk1)))),
inference(forward_demodulation,[],[f1723,f1]) ).
fof(f1723,plain,
sk1 = join(sF1,complement(join(complement(sk1),sF0))),
inference(superposition,[],[f26,f17]) ).
fof(f8404,plain,
! [X0] : zero = meet(sk2,meet(sF2,X0)),
inference(superposition,[],[f8366,f39]) ).
fof(f8366,plain,
! [X4] : zero = meet(sk2,meet(X4,sF2)),
inference(forward_demodulation,[],[f8365,f3326]) ).
fof(f3326,plain,
! [X1] : meet(top,X1) = X1,
inference(forward_demodulation,[],[f3287,f3297]) ).
fof(f3297,plain,
! [X6] : meet(top,X6) = meet(X6,meet(top,X6)),
inference(forward_demodulation,[],[f3296,f4]) ).
fof(f3296,plain,
! [X6] : meet(top,X6) = complement(join(complement(X6),complement(meet(top,X6)))),
inference(forward_demodulation,[],[f3261,f3233]) ).
fof(f3261,plain,
! [X6] : meet(top,X6) = join(zero,complement(join(complement(X6),complement(meet(top,X6))))),
inference(backward_demodulation,[],[f1752,f3233]) ).
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(f3287,plain,
! [X1] : meet(X1,meet(top,X1)) = X1,
inference(backward_demodulation,[],[f3046,f3233]) ).
fof(f3046,plain,
! [X1] : join(zero,meet(X1,meet(top,X1))) = X1,
inference(forward_demodulation,[],[f3045,f38]) ).
fof(f3045,plain,
! [X1] : join(complement(top),meet(X1,meet(top,X1))) = X1,
inference(forward_demodulation,[],[f3029,f1]) ).
fof(f3029,plain,
! [X1] : join(meet(X1,meet(top,X1)),complement(top)) = X1,
inference(superposition,[],[f26,f2989]) ).
fof(f2989,plain,
! [X0] : top = join(complement(X0),meet(top,X0)),
inference(superposition,[],[f2983,f39]) ).
fof(f2983,plain,
! [X4] : top = join(complement(X4),meet(X4,top)),
inference(forward_demodulation,[],[f2982,f47]) ).
fof(f2982,plain,
! [X4] : top = join(complement(X4),complement(join(zero,complement(X4)))),
inference(forward_demodulation,[],[f2981,f2311]) ).
fof(f2981,plain,
! [X4] : top = join(complement(X4),complement(join(zero,join(zero,complement(X4))))),
inference(forward_demodulation,[],[f2980,f38]) ).
fof(f2980,plain,
! [X4] : top = join(complement(X4),complement(join(zero,join(complement(top),complement(X4))))),
inference(forward_demodulation,[],[f2968,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(f2968,plain,
! [X4] : top = join(complement(X4),complement(join(complement(top),join(zero,complement(X4))))),
inference(superposition,[],[f26,f2116]) ).
fof(f2116,plain,
! [X2] : complement(X2) = meet(top,join(zero,complement(X2))),
inference(backward_demodulation,[],[f62,f2114]) ).
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(f8365,plain,
! [X4] : zero = meet(top,meet(sk2,meet(X4,sF2))),
inference(forward_demodulation,[],[f8343,f39]) ).
fof(f8343,plain,
! [X4] : zero = meet(meet(sk2,meet(X4,sF2)),top),
inference(superposition,[],[f13,f7850]) ).
fof(f7850,plain,
! [X11] : top = complement(meet(sk2,meet(X11,sF2))),
inference(forward_demodulation,[],[f7849,f3330]) ).
fof(f3330,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(backward_demodulation,[],[f3280,f3326]) ).
fof(f3280,plain,
! [X0,X1] : meet(top,join(complement(X0),complement(X1))) = complement(meet(X0,X1)),
inference(backward_demodulation,[],[f61,f3233]) ).
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(f7849,plain,
! [X11] : top = join(complement(sk2),complement(meet(X11,sF2))),
inference(forward_demodulation,[],[f7836,f1]) ).
fof(f7836,plain,
! [X11] : top = join(complement(meet(X11,sF2)),complement(sk2)),
inference(superposition,[],[f7204,f7217]) ).
fof(f7217,plain,
! [X41] : sk2 = meet(sk2,complement(meet(X41,sF2))),
inference(superposition,[],[f4004,f3330]) ).
fof(f4004,plain,
! [X69] : sk2 = meet(sk2,join(X69,complement(sF2))),
inference(superposition,[],[f3731,f3276]) ).
fof(f3276,plain,
complement(sF2) = join(sk2,complement(sF2)),
inference(backward_demodulation,[],[f2340,f3233]) ).
fof(f2340,plain,
join(sk2,complement(sF2)) = join(zero,complement(sF2)),
inference(superposition,[],[f2223,f1806]) ).
fof(f1806,plain,
complement(sF2) = meet(top,join(sk2,complement(sF2))),
inference(forward_demodulation,[],[f1794,f39]) ).
fof(f1794,plain,
complement(sF2) = meet(join(sk2,complement(sF2)),top),
inference(superposition,[],[f47,f1757]) ).
fof(f1757,plain,
sF2 = join(zero,complement(join(sk2,complement(sF2)))),
inference(forward_demodulation,[],[f1725,f1]) ).
fof(f1725,plain,
sF2 = join(zero,complement(join(complement(sF2),sk2))),
inference(superposition,[],[f26,f22]) ).
fof(f22,plain,
zero = meet(sF2,sk2),
inference(backward_demodulation,[],[f20,f21]) ).
fof(f21,plain,
zero = sF3,
inference(definition_folding,[],[f14,f20,f19]) ).
fof(f14,axiom,
zero = meet(converse(sk1),sk2),
file('/export/starexec/sandbox2/tmp/tmp.sqYqzWeu8O/Vampire---4.8_7128',goals_14) ).
fof(f20,plain,
meet(sF2,sk2) = sF3,
introduced(function_definition,[]) ).
fof(f3731,plain,
! [X2,X0,X1] : meet(X1,join(X2,join(X1,X0))) = X1,
inference(superposition,[],[f3616,f1]) ).
fof(f3616,plain,
! [X18,X16,X17] : meet(X18,join(X16,join(X17,X18))) = X18,
inference(superposition,[],[f3322,f2]) ).
fof(f3322,plain,
! [X10,X11] : meet(X10,join(X11,X10)) = X10,
inference(backward_demodulation,[],[f3312,f3316]) ).
fof(f3316,plain,
! [X12] : meet(X12,top) = X12,
inference(forward_demodulation,[],[f3315,f3295]) ).
fof(f3295,plain,
! [X5] : meet(X5,top) = meet(X5,meet(X5,top)),
inference(forward_demodulation,[],[f3294,f4]) ).
fof(f3294,plain,
! [X5] : meet(X5,top) = complement(join(complement(X5),complement(meet(X5,top)))),
inference(forward_demodulation,[],[f3260,f3233]) ).
fof(f3260,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(complement(X5),complement(meet(X5,top))))),
inference(backward_demodulation,[],[f1750,f3233]) ).
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(f3315,plain,
! [X12] : meet(X12,meet(X12,top)) = X12,
inference(forward_demodulation,[],[f3285,f3267]) ).
fof(f3285,plain,
! [X12] : meet(X12,complement(complement(X12))) = X12,
inference(backward_demodulation,[],[f1766,f3233]) ).
fof(f3312,plain,
! [X10,X11] : meet(X10,join(X11,meet(X10,top))) = X10,
inference(forward_demodulation,[],[f3283,f3267]) ).
fof(f3283,plain,
! [X10,X11] : meet(X10,join(X11,complement(complement(X10)))) = X10,
inference(backward_demodulation,[],[f2032,f3233]) ).
fof(f2032,plain,
! [X10,X11] : join(zero,meet(X10,join(X11,complement(complement(X10))))) = X10,
inference(forward_demodulation,[],[f2011,f38]) ).
fof(f2011,plain,
! [X10,X11] : join(complement(top),meet(X10,join(X11,complement(complement(X10))))) = X10,
inference(backward_demodulation,[],[f1764,f1963]) ).
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(f7204,plain,
! [X24,X25] : top = join(X25,complement(meet(X24,X25))),
inference(superposition,[],[f1989,f3330]) ).
fof(f1989,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(backward_demodulation,[],[f1372,f1963]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL006-1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 19:31:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.sqYqzWeu8O/Vampire---4.8_7128
% 0.21/0.36 % (7243)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (7247)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)
% 0.21/0.41 % (7244)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)
% 0.21/0.41 % (7248)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)
% 0.21/0.41 % (7249)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)
% 0.21/0.41 % (7246)ott+10_20_av=off:drc=off:fde=none:sp=occurrence:tgt=ground_676 on Vampire---4 for (676ds/0Mi)
% 0.21/0.41 % (7245)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_682 on Vampire---4 for (682ds/0Mi)
% 0.21/0.41 % (7250)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)
% 0.21/0.63 % (7249)First to succeed.
% 0.21/0.63 % (7249)Refutation found. Thanks to Tanya!
% 0.21/0.63 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.63 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.63 % (7249)------------------------------
% 0.21/0.63 % (7249)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.63 % (7249)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.63 % (7249)Termination reason: Refutation
% 0.21/0.63
% 0.21/0.63 % (7249)Memory used [KB]: 8443
% 0.21/0.63 % (7249)Time elapsed: 0.218 s
% 0.21/0.63 % (7249)------------------------------
% 0.21/0.63 % (7249)------------------------------
% 0.21/0.63 % (7243)Success in time 0.277 s
% 0.21/0.63 % Vampire---4.8 exiting
%------------------------------------------------------------------------------