TSTP Solution File: REL047-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL047-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 : Tue Apr 30 14:48:17 EDT 2024
% Result : Timeout 290.03s 41.99s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 14
% Syntax : Number of formulae : 252 ( 252 unt; 0 def)
% Number of atoms : 252 ( 251 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 314 ( 314 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2130487,plain,
$false,
inference(subsumption_resolution,[],[f2130486,f16]) ).
fof(f16,axiom,
meet(sk2,sk3) != join(sk1,meet(sk2,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_16) ).
fof(f2130486,plain,
meet(sk2,sk3) = join(sk1,meet(sk2,sk3)),
inference(forward_demodulation,[],[f2130485,f85]) ).
fof(f85,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f21,f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f21,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f4,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2130485,plain,
join(sk1,meet(sk2,sk3)) = meet(sk3,sk2),
inference(forward_demodulation,[],[f2130484,f182164]) ).
fof(f182164,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X1,X0),zero),
inference(forward_demodulation,[],[f181803,f12168]) ).
fof(f12168,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[],[f12095,f25]) ).
fof(f25,plain,
zero = complement(top),
inference(forward_demodulation,[],[f20,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f20,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/benchmark/theBenchmark.p',def_top_12) ).
fof(f12095,plain,
! [X0] : complement(top) = meet(zero,X0),
inference(superposition,[],[f4966,f11891]) ).
fof(f11891,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f11569,f1]) ).
fof(f11569,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f9397,f12]) ).
fof(f9397,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f9346]) ).
fof(f9346,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f9218,f9271]) ).
fof(f9271,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f9266,f4847]) ).
fof(f4847,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f4823,f2423]) ).
fof(f2423,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f2390,f4]) ).
fof(f2390,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f17,f13]) ).
fof(f17,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f3,f4]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4823,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f2548,f2423]) ).
fof(f2548,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f2,f2540]) ).
fof(f2540,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f2525,f25]) ).
fof(f2525,plain,
zero = join(zero,complement(top)),
inference(superposition,[],[f2439,f2522]) ).
fof(f2522,plain,
top = join(top,top),
inference(forward_demodulation,[],[f2521,f297]) ).
fof(f297,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[],[f268,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f268,plain,
! [X0] : join(complement(X0),X0) = converse(converse(top)),
inference(superposition,[],[f259,f12]) ).
fof(f259,plain,
! [X0,X1] : join(X1,X0) = converse(converse(join(X0,X1))),
inference(forward_demodulation,[],[f258,f8]) ).
fof(f258,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = converse(converse(join(X1,X0))),
inference(forward_demodulation,[],[f225,f9]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f225,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = converse(join(converse(X1),converse(X0))),
inference(superposition,[],[f193,f9]) ).
fof(f193,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f64,f9]) ).
fof(f64,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f9,f1]) ).
fof(f2521,plain,
join(complement(zero),zero) = join(top,top),
inference(forward_demodulation,[],[f2520,f25]) ).
fof(f2520,plain,
join(top,top) = join(complement(zero),complement(top)),
inference(forward_demodulation,[],[f2519,f2491]) ).
fof(f2491,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f2475,f304]) ).
fof(f304,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f277,f8]) ).
fof(f277,plain,
join(zero,top) = converse(converse(top)),
inference(superposition,[],[f259,f29]) ).
fof(f29,plain,
top = join(top,zero),
inference(superposition,[],[f12,f25]) ).
fof(f2475,plain,
join(zero,top) = join(top,complement(join(top,top))),
inference(superposition,[],[f1854,f2439]) ).
fof(f1854,plain,
! [X0] : join(top,X0) = join(join(zero,X0),top),
inference(forward_demodulation,[],[f1849,f8]) ).
fof(f1849,plain,
! [X0] : join(join(zero,X0),top) = converse(converse(join(top,X0))),
inference(superposition,[],[f259,f1176]) ).
fof(f1176,plain,
! [X0] : join(top,X0) = join(top,join(zero,X0)),
inference(superposition,[],[f2,f29]) ).
fof(f2519,plain,
join(top,top) = join(complement(zero),complement(join(top,complement(join(top,top))))),
inference(forward_demodulation,[],[f2512,f1]) ).
fof(f2512,plain,
join(top,top) = join(complement(zero),complement(join(complement(join(top,top)),top))),
inference(superposition,[],[f17,f2466]) ).
fof(f2466,plain,
complement(zero) = meet(join(top,top),top),
inference(superposition,[],[f30,f2439]) ).
fof(f30,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f26,f1]) ).
fof(f26,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f4,f25]) ).
fof(f2439,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f2438,f1840]) ).
fof(f1840,plain,
join(top,top) = join(top,complement(zero)),
inference(superposition,[],[f1176,f12]) ).
fof(f2438,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f2403,f1]) ).
fof(f2403,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f17,f59]) ).
fof(f59,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f50,f25]) ).
fof(f50,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f30,f12]) ).
fof(f9266,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(superposition,[],[f21,f9218]) ).
fof(f9218,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f9217,f510]) ).
fof(f510,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f497,f503]) ).
fof(f503,plain,
one = converse(one),
inference(superposition,[],[f497,f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f497,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f476,f8]) ).
fof(f476,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f69,f6]) ).
fof(f69,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f10,f8]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f9217,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(forward_demodulation,[],[f9159,f510]) ).
fof(f9159,plain,
! [X0] : complement(X0) = join(composition(one,complement(composition(one,X0))),complement(X0)),
inference(superposition,[],[f11,f503]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f4966,plain,
! [X0] : complement(join(top,complement(X0))) = meet(zero,X0),
inference(superposition,[],[f4,f4851]) ).
fof(f4851,plain,
top = complement(zero),
inference(superposition,[],[f4823,f12]) ).
fof(f181803,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X1,X0),meet(zero,meet(X0,X1))),
inference(superposition,[],[f5954,f181148]) ).
fof(f181148,plain,
! [X0,X1] : meet(X1,X0) = complement(complement(meet(X0,X1))),
inference(superposition,[],[f21,f2718]) ).
fof(f2718,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[],[f2717,f2429]) ).
fof(f2429,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f2397,f1]) ).
fof(f2397,plain,
! [X0] : complement(X0) = join(zero,complement(join(complement(complement(X0)),X0))),
inference(superposition,[],[f17,f94]) ).
fof(f94,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f82,f25]) ).
fof(f82,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f21,f12]) ).
fof(f2717,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f2716,f1]) ).
fof(f2716,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))),
inference(forward_demodulation,[],[f2715,f19]) ).
fof(f19,plain,
! [X2,X0,X1] : meet(X2,join(complement(X0),complement(X1))) = complement(join(complement(X2),meet(X0,X1))),
inference(superposition,[],[f4,f4]) ).
fof(f2715,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f2703,f85]) ).
fof(f2703,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(superposition,[],[f2632,f4]) ).
fof(f2632,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(superposition,[],[f2445,f1]) ).
fof(f2445,plain,
! [X0] : join(meet(X0,complement(complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f2415,f25]) ).
fof(f2415,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f17,f12]) ).
fof(f5954,plain,
! [X0] : join(complement(complement(X0)),meet(zero,X0)) = X0,
inference(forward_demodulation,[],[f5953,f4966]) ).
fof(f5953,plain,
! [X0] : join(complement(complement(X0)),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f5918,f1]) ).
fof(f5918,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),top))) = X0,
inference(superposition,[],[f17,f4861]) ).
fof(f4861,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(superposition,[],[f30,f4823]) ).
fof(f2130484,plain,
join(sk1,meet(sk2,sk3)) = join(meet(sk2,sk3),zero),
inference(forward_demodulation,[],[f2130483,f25]) ).
fof(f2130483,plain,
join(sk1,meet(sk2,sk3)) = join(meet(sk2,sk3),complement(top)),
inference(forward_demodulation,[],[f2130266,f6774]) ).
fof(f6774,plain,
sk1 = complement(complement(sk1)),
inference(superposition,[],[f6763,f4823]) ).
fof(f6763,plain,
sk1 = join(zero,complement(complement(sk1))),
inference(superposition,[],[f5533,f6729]) ).
fof(f6729,plain,
zero = meet(zero,sk1),
inference(forward_demodulation,[],[f6728,f25]) ).
fof(f6728,plain,
complement(top) = meet(zero,sk1),
inference(forward_demodulation,[],[f6673,f2522]) ).
fof(f6673,plain,
complement(join(top,top)) = meet(zero,sk1),
inference(superposition,[],[f4966,f1332]) ).
fof(f1332,plain,
join(top,top) = join(top,complement(sk1)),
inference(superposition,[],[f1236,f12]) ).
fof(f1236,plain,
! [X0] : join(top,X0) = join(top,join(sk1,X0)),
inference(superposition,[],[f2,f1217]) ).
fof(f1217,plain,
top = join(top,sk1),
inference(superposition,[],[f1209,f1]) ).
fof(f1209,plain,
top = join(sk1,top),
inference(superposition,[],[f1178,f12]) ).
fof(f1178,plain,
! [X0] : join(sk2,X0) = join(sk1,join(sk2,X0)),
inference(superposition,[],[f2,f14]) ).
fof(f14,axiom,
sk2 = join(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f5533,plain,
! [X0] : join(meet(zero,X0),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f5485,f5263]) ).
fof(f5263,plain,
! [X0] : meet(zero,X0) = meet(X0,converse(zero)),
inference(forward_demodulation,[],[f5262,f4966]) ).
fof(f5262,plain,
! [X0] : complement(join(top,complement(X0))) = meet(X0,converse(zero)),
inference(forward_demodulation,[],[f5239,f1]) ).
fof(f5239,plain,
! [X0] : complement(join(complement(X0),top)) = meet(X0,converse(zero)),
inference(superposition,[],[f4,f5191]) ).
fof(f5191,plain,
top = complement(converse(zero)),
inference(forward_demodulation,[],[f5158,f2967]) ).
fof(f2967,plain,
top = converse(top),
inference(forward_demodulation,[],[f2961,f8]) ).
fof(f2961,plain,
converse(top) = converse(converse(top)),
inference(superposition,[],[f119,f2939]) ).
fof(f2939,plain,
converse(top) = join(top,converse(top)),
inference(forward_demodulation,[],[f2938,f118]) ).
fof(f118,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f62,f12]) ).
fof(f62,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f9,f8]) ).
fof(f2938,plain,
join(top,converse(complement(converse(top)))) = join(top,converse(top)),
inference(forward_demodulation,[],[f2897,f1]) ).
fof(f2897,plain,
join(top,converse(complement(converse(top)))) = join(converse(top),top),
inference(superposition,[],[f2874,f298]) ).
fof(f298,plain,
! [X0] : converse(top) = join(converse(complement(converse(X0))),X0),
inference(forward_demodulation,[],[f271,f8]) ).
fof(f271,plain,
! [X0] : join(converse(complement(converse(X0))),X0) = converse(converse(converse(top))),
inference(superposition,[],[f259,f118]) ).
fof(f2874,plain,
! [X0] : join(top,X0) = join(join(X0,top),top),
inference(forward_demodulation,[],[f2842,f2538]) ).
fof(f2538,plain,
! [X0] : join(top,X0) = join(top,join(top,X0)),
inference(superposition,[],[f2,f2522]) ).
fof(f2842,plain,
! [X0] : join(top,join(top,X0)) = join(join(X0,top),top),
inference(superposition,[],[f1341,f2765]) ).
fof(f2765,plain,
! [X0] : join(X0,top) = join(sk1,join(top,X0)),
inference(forward_demodulation,[],[f2753,f2449]) ).
fof(f2449,plain,
! [X0] : join(X0,top) = join(top,meet(X0,X0)),
inference(superposition,[],[f1854,f2423]) ).
fof(f2753,plain,
! [X0] : join(sk1,join(top,X0)) = join(top,meet(X0,X0)),
inference(superposition,[],[f1542,f2735]) ).
fof(f2735,plain,
! [X0] : join(top,X0) = join(meet(X0,X0),top),
inference(forward_demodulation,[],[f2733,f8]) ).
fof(f2733,plain,
! [X0] : converse(converse(join(top,X0))) = join(meet(X0,X0),top),
inference(superposition,[],[f259,f2450]) ).
fof(f2450,plain,
! [X0] : join(top,X0) = join(top,meet(X0,X0)),
inference(superposition,[],[f1176,f2423]) ).
fof(f1542,plain,
! [X0] : join(top,X0) = join(sk1,join(X0,top)),
inference(superposition,[],[f1341,f2]) ).
fof(f1341,plain,
! [X0] : join(top,X0) = join(join(sk1,X0),top),
inference(forward_demodulation,[],[f1338,f8]) ).
fof(f1338,plain,
! [X0] : join(join(sk1,X0),top) = converse(converse(join(top,X0))),
inference(superposition,[],[f259,f1236]) ).
fof(f119,plain,
! [X0,X1] : join(X0,converse(X1)) = converse(join(X1,converse(X0))),
inference(superposition,[],[f62,f1]) ).
fof(f5158,plain,
converse(top) = complement(converse(zero)),
inference(superposition,[],[f8,f4920]) ).
fof(f4920,plain,
top = converse(complement(converse(zero))),
inference(forward_demodulation,[],[f4854,f2967]) ).
fof(f4854,plain,
converse(top) = converse(complement(converse(zero))),
inference(superposition,[],[f4823,f118]) ).
fof(f5485,plain,
! [X0] : join(meet(X0,converse(zero)),complement(complement(X0))) = X0,
inference(superposition,[],[f17,f4936]) ).
fof(f4936,plain,
! [X0] : join(X0,converse(zero)) = X0,
inference(forward_demodulation,[],[f4890,f8]) ).
fof(f4890,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(zero)),
inference(superposition,[],[f119,f4823]) ).
fof(f2130266,plain,
join(meet(sk2,sk3),complement(top)) = join(complement(complement(sk1)),meet(sk2,sk3)),
inference(superposition,[],[f1291732,f2129094]) ).
fof(f2129094,plain,
top = join(complement(sk1),meet(sk2,sk3)),
inference(superposition,[],[f2124968,f12600]) ).
fof(f12600,plain,
sk1 = meet(sk1,sk3),
inference(superposition,[],[f12179,f4823]) ).
fof(f12179,plain,
sk1 = join(zero,meet(sk1,sk3)),
inference(forward_demodulation,[],[f12115,f25]) ).
fof(f12115,plain,
sk1 = join(complement(top),meet(sk1,sk3)),
inference(superposition,[],[f8881,f11891]) ).
fof(f8881,plain,
sk1 = join(complement(join(top,sk3)),meet(sk1,sk3)),
inference(forward_demodulation,[],[f8880,f8]) ).
fof(f8880,plain,
converse(converse(sk1)) = join(complement(join(top,sk3)),meet(sk1,sk3)),
inference(superposition,[],[f259,f2414]) ).
fof(f2414,plain,
sk1 = join(meet(sk1,sk3),complement(join(top,sk3))),
inference(superposition,[],[f17,f1491]) ).
fof(f1491,plain,
join(top,sk3) = join(complement(sk1),sk3),
inference(forward_demodulation,[],[f1489,f8]) ).
fof(f1489,plain,
join(complement(sk1),sk3) = converse(converse(join(top,sk3))),
inference(superposition,[],[f259,f1482]) ).
fof(f1482,plain,
join(top,sk3) = join(sk3,complement(sk1)),
inference(forward_demodulation,[],[f1474,f1]) ).
fof(f1474,plain,
join(sk3,top) = join(sk3,complement(sk1)),
inference(superposition,[],[f1181,f12]) ).
fof(f1181,plain,
! [X0] : join(sk3,X0) = join(sk3,join(sk1,X0)),
inference(superposition,[],[f2,f306]) ).
fof(f306,plain,
sk3 = join(sk3,sk1),
inference(forward_demodulation,[],[f279,f8]) ).
fof(f279,plain,
join(sk3,sk1) = converse(converse(sk3)),
inference(superposition,[],[f259,f15]) ).
fof(f15,axiom,
sk3 = join(sk1,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f2124968,plain,
! [X0] : top = join(complement(meet(sk1,X0)),meet(sk2,X0)),
inference(superposition,[],[f16097,f2123699]) ).
fof(f2123699,plain,
! [X0] : meet(sk1,X0) = meet(sk1,meet(sk2,X0)),
inference(superposition,[],[f1786616,f9271]) ).
fof(f1786616,plain,
! [X0] : meet(sk1,complement(X0)) = meet(sk1,meet(sk2,complement(X0))),
inference(forward_demodulation,[],[f1786615,f85]) ).
fof(f1786615,plain,
! [X0] : meet(sk1,complement(X0)) = meet(sk1,meet(complement(X0),sk2)),
inference(forward_demodulation,[],[f1786614,f9311]) ).
fof(f9311,plain,
! [X0,X1] : meet(complement(X0),X1) = complement(join(X0,complement(X1))),
inference(superposition,[],[f4,f9271]) ).
fof(f1786614,plain,
! [X0] : meet(sk1,complement(X0)) = meet(sk1,complement(join(X0,complement(sk2)))),
inference(forward_demodulation,[],[f1786613,f4842]) ).
fof(f4842,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f4841,f4823]) ).
fof(f4841,plain,
! [X0] : join(zero,X0) = join(join(zero,X0),zero),
inference(forward_demodulation,[],[f4840,f8]) ).
fof(f4840,plain,
! [X0] : join(join(zero,X0),zero) = converse(converse(join(zero,X0))),
inference(superposition,[],[f259,f2548]) ).
fof(f1786613,plain,
! [X0] : meet(sk1,complement(join(X0,complement(sk2)))) = meet(sk1,complement(join(X0,zero))),
inference(forward_demodulation,[],[f1786612,f334978]) ).
fof(f334978,plain,
! [X2,X0,X1] : meet(X0,complement(join(X1,X2))) = meet(complement(X2),meet(X0,complement(X1))),
inference(forward_demodulation,[],[f334550,f299487]) ).
fof(f299487,plain,
! [X2,X0,X1] : complement(join(X2,join(complement(X0),X1))) = meet(X0,complement(join(X1,X2))),
inference(superposition,[],[f9312,f1186]) ).
fof(f1186,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f2,f1]) ).
fof(f9312,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = meet(X1,complement(X0)),
inference(superposition,[],[f4,f9271]) ).
fof(f334550,plain,
! [X2,X0,X1] : complement(join(X2,join(complement(X0),X1))) = meet(complement(X2),meet(X0,complement(X1))),
inference(superposition,[],[f9311,f181093]) ).
fof(f181093,plain,
! [X0,X1] : join(complement(X1),X0) = complement(meet(X1,complement(X0))),
inference(superposition,[],[f2718,f9271]) ).
fof(f1786612,plain,
! [X0] : meet(sk1,complement(join(X0,complement(sk2)))) = meet(complement(zero),meet(sk1,complement(X0))),
inference(forward_demodulation,[],[f1786611,f334978]) ).
fof(f1786611,plain,
! [X0] : meet(complement(zero),meet(sk1,complement(X0))) = meet(complement(complement(sk2)),meet(sk1,complement(X0))),
inference(forward_demodulation,[],[f1784221,f1337830]) ).
fof(f1337830,plain,
! [X0,X1] : meet(X1,complement(X0)) = meet(complement(X0),join(X1,X0)),
inference(forward_demodulation,[],[f1333048,f9312]) ).
fof(f1333048,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = meet(complement(X0),join(X1,X0)),
inference(superposition,[],[f9311,f1291732]) ).
fof(f1784221,plain,
! [X0] : meet(complement(zero),meet(complement(X0),join(sk1,X0))) = meet(complement(complement(sk2)),meet(complement(X0),join(sk1,X0))),
inference(superposition,[],[f1360284,f403460]) ).
fof(f403460,plain,
! [X0] : zero = meet(meet(complement(X0),join(sk1,X0)),complement(sk2)),
inference(forward_demodulation,[],[f403459,f85]) ).
fof(f403459,plain,
! [X0] : zero = meet(meet(join(sk1,X0),complement(X0)),complement(sk2)),
inference(forward_demodulation,[],[f403458,f4823]) ).
fof(f403458,plain,
! [X0] : zero = meet(meet(join(sk1,X0),join(zero,complement(X0))),complement(sk2)),
inference(forward_demodulation,[],[f403457,f85]) ).
fof(f403457,plain,
! [X0] : zero = meet(meet(join(zero,complement(X0)),join(sk1,X0)),complement(sk2)),
inference(forward_demodulation,[],[f403456,f9271]) ).
fof(f403456,plain,
! [X0] : zero = meet(meet(join(zero,complement(X0)),join(sk1,complement(complement(X0)))),complement(sk2)),
inference(forward_demodulation,[],[f403276,f4861]) ).
fof(f403276,plain,
! [X0] : zero = meet(meet(join(zero,complement(X0)),join(sk1,meet(X0,top))),complement(sk2)),
inference(superposition,[],[f341897,f30]) ).
fof(f341897,plain,
! [X0] : zero = meet(meet(X0,join(sk1,complement(X0))),complement(sk2)),
inference(forward_demodulation,[],[f341657,f25]) ).
fof(f341657,plain,
! [X0] : complement(top) = meet(meet(X0,join(sk1,complement(X0))),complement(sk2)),
inference(superposition,[],[f9318,f181240]) ).
fof(f181240,plain,
! [X0] : top = join(sk2,complement(meet(X0,join(sk1,complement(X0))))),
inference(superposition,[],[f22398,f2718]) ).
fof(f22398,plain,
! [X0] : top = join(sk2,join(X0,complement(join(sk1,X0)))),
inference(forward_demodulation,[],[f22397,f11891]) ).
fof(f22397,plain,
! [X0] : join(top,sk2) = join(sk2,join(X0,complement(join(sk1,X0)))),
inference(forward_demodulation,[],[f22047,f1]) ).
fof(f22047,plain,
! [X0] : join(sk2,top) = join(sk2,join(X0,complement(join(sk1,X0)))),
inference(superposition,[],[f1180,f1185]) ).
fof(f1185,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f12]) ).
fof(f1180,plain,
! [X0] : join(sk2,X0) = join(sk2,join(sk1,X0)),
inference(superposition,[],[f2,f305]) ).
fof(f305,plain,
sk2 = join(sk2,sk1),
inference(forward_demodulation,[],[f278,f8]) ).
fof(f278,plain,
join(sk2,sk1) = converse(converse(sk2)),
inference(superposition,[],[f259,f14]) ).
fof(f9318,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(X1,complement(X0)),
inference(superposition,[],[f21,f9271]) ).
fof(f1360284,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(complement(meet(X1,X0)),X1),
inference(superposition,[],[f1337933,f9285]) ).
fof(f9285,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X1,X0)),
inference(superposition,[],[f9271,f21]) ).
fof(f1337933,plain,
! [X0,X1] : meet(X1,X0) = meet(join(X1,complement(X0)),X0),
inference(forward_demodulation,[],[f1333211,f4]) ).
fof(f1333211,plain,
! [X0,X1] : complement(join(complement(X1),complement(X0))) = meet(join(X1,complement(X0)),X0),
inference(superposition,[],[f21,f1291732]) ).
fof(f16097,plain,
! [X0,X1] : top = join(complement(meet(X1,X0)),X0),
inference(superposition,[],[f15982,f12982]) ).
fof(f12982,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f12640,f1]) ).
fof(f12640,plain,
! [X0,X1] : join(meet(X1,X0),X0) = X0,
inference(superposition,[],[f11637,f85]) ).
fof(f11637,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f9397,f17]) ).
fof(f15982,plain,
! [X0,X1] : top = join(complement(X0),join(X1,X0)),
inference(forward_demodulation,[],[f15981,f4823]) ).
fof(f15981,plain,
! [X0,X1] : top = join(join(zero,complement(X0)),join(X1,X0)),
inference(forward_demodulation,[],[f15980,f9271]) ).
fof(f15980,plain,
! [X0,X1] : top = join(join(zero,complement(X0)),join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f15806,f4861]) ).
fof(f15806,plain,
! [X0,X1] : top = join(join(zero,complement(X0)),join(X1,meet(X0,top))),
inference(superposition,[],[f14786,f30]) ).
fof(f14786,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f14622,f11891]) ).
fof(f14622,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f1151,f1]) ).
fof(f1151,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f12]) ).
fof(f1291732,plain,
! [X0,X1] : join(X0,complement(join(X1,X0))) = join(complement(X1),X0),
inference(superposition,[],[f1290313,f316228]) ).
fof(f316228,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X1),complement(X0)),
inference(superposition,[],[f9317,f9271]) ).
fof(f9317,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = meet(complement(X0),X1),
inference(superposition,[],[f21,f9271]) ).
fof(f1290313,plain,
! [X0,X1] : join(X1,X0) = join(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[],[f1287492,f1274181]) ).
fof(f1274181,plain,
! [X2,X3,X0,X1] : join(X0,X1) = join(join(X1,X0),meet(meet(X2,X0),X3)),
inference(forward_demodulation,[],[f1272051,f12989]) ).
fof(f12989,plain,
! [X2,X0,X1] : join(X1,X2) = join(meet(X0,X1),join(X1,X2)),
inference(superposition,[],[f2,f12640]) ).
fof(f1272051,plain,
! [X2,X3,X0,X1] : join(meet(X2,X0),join(X0,X1)) = join(join(X1,X0),meet(meet(X2,X0),X3)),
inference(superposition,[],[f1254724,f1254725]) ).
fof(f1254725,plain,
! [X2,X0,X1] : join(X2,X1) = join(join(X1,X2),meet(X0,X1)),
inference(forward_demodulation,[],[f1253484,f91940]) ).
fof(f91940,plain,
! [X0,X1] : join(X1,X0) = join(zero,join(X0,X1)),
inference(forward_demodulation,[],[f89765,f12168]) ).
fof(f89765,plain,
! [X0,X1] : join(X1,X0) = join(meet(zero,X0),join(X0,X1)),
inference(superposition,[],[f1186,f9305]) ).
fof(f9305,plain,
! [X0] : join(meet(zero,X0),X0) = X0,
inference(superposition,[],[f5533,f9271]) ).
fof(f1253484,plain,
! [X2,X0,X1] : join(join(X1,X2),meet(X0,X1)) = join(zero,join(X1,X2)),
inference(superposition,[],[f1251577,f330168]) ).
fof(f330168,plain,
! [X2,X0,X1] : zero = meet(meet(X2,X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f329656,f25]) ).
fof(f329656,plain,
! [X2,X0,X1] : complement(top) = meet(meet(X2,X0),complement(join(X0,X1))),
inference(superposition,[],[f9318,f228131]) ).
fof(f228131,plain,
! [X2,X0,X1] : top = join(join(X1,X0),complement(meet(X2,X1))),
inference(superposition,[],[f197047,f1]) ).
fof(f197047,plain,
! [X2,X0,X1] : top = join(join(X2,X1),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f196318,f9271]) ).
fof(f196318,plain,
! [X2,X0,X1] : top = join(join(X2,complement(complement(X1))),complement(meet(X0,X1))),
inference(superposition,[],[f90945,f2718]) ).
fof(f90945,plain,
! [X2,X0,X1] : top = join(join(X1,complement(X0)),join(X2,X0)),
inference(forward_demodulation,[],[f88911,f11569]) ).
fof(f88911,plain,
! [X2,X0,X1] : join(join(X1,complement(X0)),join(X2,X0)) = join(X2,top),
inference(superposition,[],[f1186,f14786]) ).
fof(f1251577,plain,
! [X0,X1] : join(X0,X1) = join(meet(X1,complement(X0)),X0),
inference(superposition,[],[f1241438,f85]) ).
fof(f1241438,plain,
! [X0,X1] : join(X0,X1) = join(meet(complement(X0),X1),X0),
inference(forward_demodulation,[],[f1241437,f4823]) ).
fof(f1241437,plain,
! [X0,X1] : join(X0,X1) = join(meet(join(zero,complement(X0)),X1),X0),
inference(forward_demodulation,[],[f1241436,f9271]) ).
fof(f1241436,plain,
! [X0,X1] : join(complement(complement(X0)),X1) = join(meet(join(zero,complement(X0)),X1),complement(complement(X0))),
inference(forward_demodulation,[],[f1239730,f4861]) ).
fof(f1239730,plain,
! [X0,X1] : join(meet(X0,top),X1) = join(meet(join(zero,complement(X0)),X1),meet(X0,top)),
inference(superposition,[],[f111297,f30]) ).
fof(f111297,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(X0,X1),complement(X0)),
inference(forward_demodulation,[],[f111296,f37919]) ).
fof(f37919,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X1,X0),join(X2,X0)),
inference(superposition,[],[f27128,f12982]) ).
fof(f27128,plain,
! [X2,X0,X1] : meet(X2,join(X0,join(X1,X2))) = X2,
inference(superposition,[],[f26423,f2]) ).
fof(f26423,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f25930,f1]) ).
fof(f25930,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(superposition,[],[f14830,f4842]) ).
fof(f14830,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),zero) = X0,
inference(forward_demodulation,[],[f14829,f9271]) ).
fof(f14829,plain,
! [X0,X1] : join(meet(X0,join(complement(complement(X0)),X1)),zero) = X0,
inference(forward_demodulation,[],[f14828,f25]) ).
fof(f14828,plain,
! [X0,X1] : join(meet(X0,join(complement(complement(X0)),X1)),complement(top)) = X0,
inference(forward_demodulation,[],[f14671,f11891]) ).
fof(f14671,plain,
! [X0,X1] : join(meet(X0,join(complement(complement(X0)),X1)),complement(join(top,X1))) = X0,
inference(superposition,[],[f17,f1151]) ).
fof(f111296,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(meet(X0,X1),join(complement(X0),X1)),complement(X0)),
inference(forward_demodulation,[],[f110796,f85]) ).
fof(f110796,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)),
inference(superposition,[],[f2416,f17]) ).
fof(f2416,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(X1,complement(X0)))) = X0,
inference(superposition,[],[f17,f1]) ).
fof(f1254724,plain,
! [X2,X0,X1] : join(X0,X2) = join(join(X2,X0),meet(X0,X1)),
inference(forward_demodulation,[],[f1253483,f91940]) ).
fof(f1253483,plain,
! [X2,X0,X1] : join(join(X2,X0),meet(X0,X1)) = join(zero,join(X2,X0)),
inference(superposition,[],[f1251577,f330169]) ).
fof(f330169,plain,
! [X2,X0,X1] : zero = meet(meet(X1,X2),complement(join(X0,X1))),
inference(forward_demodulation,[],[f329657,f25]) ).
fof(f329657,plain,
! [X2,X0,X1] : complement(top) = meet(meet(X1,X2),complement(join(X0,X1))),
inference(superposition,[],[f9318,f228943]) ).
fof(f228943,plain,
! [X2,X0,X1] : top = join(join(X2,X1),complement(meet(X1,X0))),
inference(superposition,[],[f197047,f85]) ).
fof(f1287492,plain,
! [X2,X0,X1] : join(X0,meet(complement(X0),X1)) = join(join(X0,X1),meet(meet(complement(X0),X1),X2)),
inference(superposition,[],[f1270957,f1241438]) ).
fof(f1270957,plain,
! [X2,X0,X1] : join(X2,X1) = join(join(X1,X2),meet(X1,X0)),
inference(superposition,[],[f1254725,f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL047-1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 00:53:25 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (22798)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (22799)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (22803)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (22801)WARNING: value z3 for option sas not known
% 0.21/0.38 % (22805)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.38 % (22800)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (22802)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (22806)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.38 % (22801)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.39 TRYING [3]
% 0.21/0.40 TRYING [3]
% 0.21/0.41 TRYING [4]
% 0.21/0.46 TRYING [5]
% 0.21/0.48 TRYING [4]
% 1.66/0.60 TRYING [6]
% 4.75/1.03 TRYING [7]
% 7.77/1.48 TRYING [1]
% 7.77/1.48 TRYING [2]
% 7.77/1.48 TRYING [3]
% 8.03/1.50 TRYING [4]
% 8.38/1.56 TRYING [5]
% 9.34/1.73 TRYING [6]
% 9.34/1.75 TRYING [5]
% 14.43/2.42 TRYING [7]
% 20.49/3.30 TRYING [8]
% 32.37/5.06 TRYING [8]
% 54.15/8.15 TRYING [9]
% 82.10/12.19 TRYING [9]
% 127.46/18.61 TRYING [10]
% 192.76/28.07 TRYING [10]
% 207.49/30.16 TRYING [6]
% 290.03/41.99 % (22806)First to succeed.
% 290.03/42.03 % (22806)Refutation found. Thanks to Tanya!
% 290.03/42.03 % SZS status Unsatisfiable for theBenchmark
% 290.03/42.03 % SZS output start Proof for theBenchmark
% See solution above
% 290.03/42.03 % (22806)------------------------------
% 290.03/42.03 % (22806)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 290.03/42.03 % (22806)Termination reason: Refutation
% 290.03/42.03
% 290.03/42.03 % (22806)Memory used [KB]: 402036
% 290.03/42.03 % (22806)Time elapsed: 41.618 s
% 290.03/42.03 % (22806)Instructions burned: 96117 (million)
% 290.03/42.03 % (22806)------------------------------
% 290.03/42.03 % (22806)------------------------------
% 290.03/42.03 % (22798)Success in time 41.582 s
%------------------------------------------------------------------------------