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 : n024.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 : Sun May 5 08:53:11 EDT 2024
% Result : Theorem 134.27s 19.61s
% Output : Refutation 134.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 13
% Syntax : Number of formulae : 254 ( 248 unt; 0 def)
% Number of atoms : 269 ( 268 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 22 ( 7 ~; 0 |; 12 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 311 ( 302 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f946318,plain,
$false,
inference(subsumption_resolution,[],[f946159,f22]) ).
fof(f22,plain,
meet(sK1,sK2) != join(sK0,meet(sK1,sK2)),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
( meet(sK1,sK2) != join(sK0,meet(sK1,sK2))
& sK2 = join(sK0,sK2)
& sK1 = join(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f18]) ).
fof(f18,plain,
( ? [X0,X1,X2] :
( meet(X1,X2) != join(X0,meet(X1,X2))
& join(X0,X2) = X2
& join(X0,X1) = X1 )
=> ( meet(sK1,sK2) != join(sK0,meet(sK1,sK2))
& sK2 = join(sK0,sK2)
& sK1 = join(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1,X2] :
( meet(X1,X2) != join(X0,meet(X1,X2))
& join(X0,X2) = X2
& join(X0,X1) = X1 ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
? [X0,X1,X2] :
( meet(X1,X2) != join(X0,meet(X1,X2))
& join(X0,X2) = X2
& join(X0,X1) = X1 ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( ( join(X0,X2) = X2
& join(X0,X1) = X1 )
=> meet(X1,X2) = join(X0,meet(X1,X2)) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( ( join(X0,X2) = X2
& join(X0,X1) = X1 )
=> meet(X1,X2) = join(X0,meet(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f946159,plain,
meet(sK1,sK2) = join(sK0,meet(sK1,sK2)),
inference(superposition,[],[f8243,f945838]) ).
fof(f945838,plain,
sK0 = meet(sK0,meet(sK1,sK2)),
inference(forward_demodulation,[],[f945837,f21325]) ).
fof(f21325,plain,
sK0 = meet(top,sK0),
inference(superposition,[],[f21258,f78]) ).
fof(f78,plain,
! [X0] : meet(X0,top) = meet(top,X0),
inference(superposition,[],[f57,f54]) ).
fof(f54,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f30,f52]) ).
fof(f52,plain,
zero = complement(top),
inference(forward_demodulation,[],[f47,f25]) ).
fof(f25,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f47,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f30,f26]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f30,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f57,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f53,f27]) ).
fof(f27,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f53,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f30,f52]) ).
fof(f21258,plain,
sK0 = meet(sK0,top),
inference(superposition,[],[f21167,f14415]) ).
fof(f14415,plain,
! [X0] : top = join(sK1,join(X0,complement(sK0))),
inference(superposition,[],[f14203,f27]) ).
fof(f14203,plain,
! [X0] : top = join(sK1,join(complement(sK0),X0)),
inference(forward_demodulation,[],[f14202,f8017]) ).
fof(f8017,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f7744,f27]) ).
fof(f7744,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f6422,f26]) ).
fof(f6422,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f34,f6378]) ).
fof(f6378,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f5438,f6338]) ).
fof(f6338,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f6333,f4910]) ).
fof(f4910,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f4886,f2541]) ).
fof(f2541,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f2507,f30]) ).
fof(f2507,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f36,f25]) ).
fof(f36,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f32,f30]) ).
fof(f32,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4886,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f2667,f2541]) ).
fof(f2667,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f34,f2659]) ).
fof(f2659,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f2644,f52]) ).
fof(f2644,plain,
zero = join(zero,complement(top)),
inference(superposition,[],[f2557,f2641]) ).
fof(f2641,plain,
top = join(top,top),
inference(forward_demodulation,[],[f2640,f681]) ).
fof(f681,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[],[f636,f23]) ).
fof(f23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f636,plain,
! [X0] : join(complement(X0),X0) = converse(converse(top)),
inference(superposition,[],[f605,f26]) ).
fof(f605,plain,
! [X0,X1] : join(X1,X0) = converse(converse(join(X0,X1))),
inference(forward_demodulation,[],[f604,f23]) ).
fof(f604,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = converse(converse(join(X1,X0))),
inference(forward_demodulation,[],[f548,f29]) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f548,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = converse(join(converse(X1),converse(X0))),
inference(superposition,[],[f508,f29]) ).
fof(f508,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f41,f29]) ).
fof(f41,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f29,f27]) ).
fof(f2640,plain,
join(complement(zero),zero) = join(top,top),
inference(forward_demodulation,[],[f2639,f52]) ).
fof(f2639,plain,
join(top,top) = join(complement(zero),complement(top)),
inference(forward_demodulation,[],[f2638,f2610]) ).
fof(f2610,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f2594,f695]) ).
fof(f695,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f652,f23]) ).
fof(f652,plain,
join(zero,top) = converse(converse(top)),
inference(superposition,[],[f605,f55]) ).
fof(f55,plain,
top = join(top,zero),
inference(superposition,[],[f26,f52]) ).
fof(f2594,plain,
join(zero,top) = join(top,complement(join(top,top))),
inference(superposition,[],[f2077,f2557]) ).
fof(f2077,plain,
! [X0] : join(top,X0) = join(join(zero,X0),top),
inference(forward_demodulation,[],[f2072,f23]) ).
fof(f2072,plain,
! [X0] : join(join(zero,X0),top) = converse(converse(join(top,X0))),
inference(superposition,[],[f605,f1407]) ).
fof(f1407,plain,
! [X0] : join(top,X0) = join(top,join(zero,X0)),
inference(superposition,[],[f34,f55]) ).
fof(f2638,plain,
join(top,top) = join(complement(zero),complement(join(top,complement(join(top,top))))),
inference(forward_demodulation,[],[f2631,f27]) ).
fof(f2631,plain,
join(top,top) = join(complement(zero),complement(join(complement(join(top,top)),top))),
inference(superposition,[],[f36,f2585]) ).
fof(f2585,plain,
complement(zero) = meet(join(top,top),top),
inference(superposition,[],[f57,f2557]) ).
fof(f2557,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f2556,f2063]) ).
fof(f2063,plain,
join(top,top) = join(top,complement(zero)),
inference(superposition,[],[f1407,f26]) ).
fof(f2556,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f2520,f27]) ).
fof(f2520,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f36,f86]) ).
fof(f86,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f77,f52]) ).
fof(f77,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f57,f26]) ).
fof(f6333,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(superposition,[],[f48,f5438]) ).
fof(f48,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f30,f27]) ).
fof(f5438,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f5437,f129]) ).
fof(f129,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f116,f122]) ).
fof(f122,plain,
one = converse(one),
inference(superposition,[],[f116,f24]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f116,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f103,f23]) ).
fof(f103,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f38,f24]) ).
fof(f38,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f28,f23]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f5437,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(forward_demodulation,[],[f5400,f129]) ).
fof(f5400,plain,
! [X0] : complement(X0) = join(composition(one,complement(composition(one,X0))),complement(X0)),
inference(superposition,[],[f31,f122]) ).
fof(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f34,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f14202,plain,
! [X0] : join(top,join(X0,sK1)) = join(sK1,join(complement(sK0),X0)),
inference(forward_demodulation,[],[f14065,f34]) ).
fof(f14065,plain,
! [X0] : join(sK1,join(complement(sK0),X0)) = join(join(top,X0),sK1),
inference(superposition,[],[f1678,f1381]) ).
fof(f1381,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f34,f26]) ).
fof(f1678,plain,
! [X0] : join(sK1,X0) = join(join(sK0,X0),sK1),
inference(forward_demodulation,[],[f1674,f23]) ).
fof(f1674,plain,
! [X0] : join(join(sK0,X0),sK1) = converse(converse(join(sK1,X0))),
inference(superposition,[],[f605,f1411]) ).
fof(f1411,plain,
! [X0] : join(sK1,X0) = join(sK1,join(sK0,X0)),
inference(superposition,[],[f34,f696]) ).
fof(f696,plain,
sK1 = join(sK1,sK0),
inference(forward_demodulation,[],[f653,f23]) ).
fof(f653,plain,
join(sK1,sK0) = converse(converse(sK1)),
inference(superposition,[],[f605,f20]) ).
fof(f20,plain,
sK1 = join(sK0,sK1),
inference(cnf_transformation,[],[f19]) ).
fof(f21167,plain,
! [X0] : sK0 = meet(sK0,join(sK1,X0)),
inference(superposition,[],[f15145,f4905]) ).
fof(f4905,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f4904,f4886]) ).
fof(f4904,plain,
! [X0] : join(zero,X0) = join(join(zero,X0),zero),
inference(forward_demodulation,[],[f4903,f23]) ).
fof(f4903,plain,
! [X0] : join(join(zero,X0),zero) = converse(converse(join(zero,X0))),
inference(superposition,[],[f605,f2667]) ).
fof(f15145,plain,
! [X0] : sK0 = join(meet(sK0,join(sK1,X0)),zero),
inference(forward_demodulation,[],[f15132,f52]) ).
fof(f15132,plain,
! [X0] : sK0 = join(meet(sK0,join(sK1,X0)),complement(top)),
inference(superposition,[],[f36,f14516]) ).
fof(f14516,plain,
! [X0] : top = join(complement(sK0),join(sK1,X0)),
inference(forward_demodulation,[],[f14503,f8017]) ).
fof(f14503,plain,
! [X0] : join(top,X0) = join(complement(sK0),join(sK1,X0)),
inference(superposition,[],[f34,f14433]) ).
fof(f14433,plain,
top = join(complement(sK0),sK1),
inference(superposition,[],[f14203,f11906]) ).
fof(f11906,plain,
! [X0] : join(X0,sK1) = join(sK1,join(X0,sK0)),
inference(superposition,[],[f11021,f34]) ).
fof(f11021,plain,
! [X0] : join(join(sK1,X0),sK0) = join(X0,sK1),
inference(forward_demodulation,[],[f10765,f10859]) ).
fof(f10859,plain,
! [X0,X1] : join(X1,X0) = join(join(X0,X1),join(X0,X1)),
inference(forward_demodulation,[],[f10858,f7741]) ).
fof(f7741,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f6422,f27]) ).
fof(f10858,plain,
! [X0,X1] : join(join(X0,X1),join(X0,X1)) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f10632,f34]) ).
fof(f10632,plain,
! [X0,X1] : join(join(X0,X1),join(X0,X1)) = join(join(X0,X1),X0),
inference(superposition,[],[f9517,f6422]) ).
fof(f9517,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(superposition,[],[f7998,f34]) ).
fof(f7998,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(forward_demodulation,[],[f7932,f23]) ).
fof(f7932,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = join(join(X0,X1),X0),
inference(superposition,[],[f605,f6422]) ).
fof(f10765,plain,
! [X0] : join(join(sK1,X0),sK0) = join(join(sK1,X0),join(sK1,X0)),
inference(superposition,[],[f9517,f1409]) ).
fof(f1409,plain,
! [X0] : join(sK1,X0) = join(sK0,join(sK1,X0)),
inference(superposition,[],[f34,f20]) ).
fof(f945837,plain,
meet(top,sK0) = meet(sK0,meet(sK1,sK2)),
inference(forward_demodulation,[],[f945706,f78]) ).
fof(f945706,plain,
meet(sK0,top) = meet(sK0,meet(sK1,sK2)),
inference(superposition,[],[f897453,f945410]) ).
fof(f945410,plain,
top = join(complement(sK0),meet(sK1,sK2)),
inference(forward_demodulation,[],[f945054,f897]) ).
fof(f897,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f48,f30]) ).
fof(f945054,plain,
top = join(complement(sK0),meet(sK2,sK1)),
inference(superposition,[],[f902889,f14676]) ).
fof(f14676,plain,
sK0 = meet(sK0,sK2),
inference(superposition,[],[f14668,f4905]) ).
fof(f14668,plain,
sK0 = join(meet(sK0,sK2),zero),
inference(forward_demodulation,[],[f14652,f52]) ).
fof(f14652,plain,
sK0 = join(meet(sK0,sK2),complement(top)),
inference(superposition,[],[f36,f14587]) ).
fof(f14587,plain,
top = join(complement(sK0),sK2),
inference(superposition,[],[f14205,f12006]) ).
fof(f12006,plain,
! [X0] : join(X0,sK2) = join(sK2,join(X0,sK0)),
inference(superposition,[],[f11022,f34]) ).
fof(f11022,plain,
! [X0] : join(join(sK2,X0),sK0) = join(X0,sK2),
inference(forward_demodulation,[],[f10766,f10859]) ).
fof(f10766,plain,
! [X0] : join(join(sK2,X0),sK0) = join(join(sK2,X0),join(sK2,X0)),
inference(superposition,[],[f9517,f1410]) ).
fof(f1410,plain,
! [X0] : join(sK2,X0) = join(sK0,join(sK2,X0)),
inference(superposition,[],[f34,f21]) ).
fof(f21,plain,
sK2 = join(sK0,sK2),
inference(cnf_transformation,[],[f19]) ).
fof(f14205,plain,
! [X0] : top = join(sK2,join(complement(sK0),X0)),
inference(forward_demodulation,[],[f14204,f8017]) ).
fof(f14204,plain,
! [X0] : join(top,join(X0,sK2)) = join(sK2,join(complement(sK0),X0)),
inference(forward_demodulation,[],[f14066,f34]) ).
fof(f14066,plain,
! [X0] : join(sK2,join(complement(sK0),X0)) = join(join(top,X0),sK2),
inference(superposition,[],[f1708,f1381]) ).
fof(f1708,plain,
! [X0] : join(sK2,X0) = join(join(sK0,X0),sK2),
inference(forward_demodulation,[],[f1704,f23]) ).
fof(f1704,plain,
! [X0] : join(join(sK0,X0),sK2) = converse(converse(join(sK2,X0))),
inference(superposition,[],[f605,f1412]) ).
fof(f1412,plain,
! [X0] : join(sK2,X0) = join(sK2,join(sK0,X0)),
inference(superposition,[],[f34,f697]) ).
fof(f697,plain,
sK2 = join(sK2,sK0),
inference(forward_demodulation,[],[f654,f23]) ).
fof(f654,plain,
join(sK2,sK0) = converse(converse(sK2)),
inference(superposition,[],[f605,f21]) ).
fof(f902889,plain,
! [X0] : top = join(complement(meet(sK0,X0)),meet(X0,sK1)),
inference(superposition,[],[f15842,f902099]) ).
fof(f902099,plain,
! [X0] : meet(sK0,X0) = meet(sK0,meet(X0,sK1)),
inference(forward_demodulation,[],[f901019,f897798]) ).
fof(f897798,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(X1,complement(X0))),
inference(superposition,[],[f897453,f27]) ).
fof(f901019,plain,
! [X0] : meet(sK0,meet(X0,sK1)) = meet(sK0,join(X0,complement(sK0))),
inference(superposition,[],[f897798,f383460]) ).
fof(f383460,plain,
! [X0] : join(X0,complement(sK0)) = join(meet(X0,sK1),complement(sK0)),
inference(superposition,[],[f2539,f379217]) ).
fof(f379217,plain,
! [X0] : complement(sK0) = join(complement(join(X0,sK1)),complement(sK0)),
inference(superposition,[],[f331332,f11907]) ).
fof(f11907,plain,
! [X0] : join(sK0,join(sK1,X0)) = join(X0,sK1),
inference(superposition,[],[f11021,f27]) ).
fof(f331332,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(X0)),
inference(superposition,[],[f7798,f238034]) ).
fof(f238034,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(X1),complement(X0)),
inference(superposition,[],[f6355,f6338]) ).
fof(f6355,plain,
! [X0,X1] : meet(complement(X0),X1) = complement(join(X0,complement(X1))),
inference(superposition,[],[f30,f6338]) ).
fof(f7798,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f6422,f36]) ).
fof(f2539,plain,
! [X2,X0,X1] : join(X0,X2) = join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f34,f36]) ).
fof(f15842,plain,
! [X0,X1] : top = join(complement(meet(X1,X0)),X0),
inference(superposition,[],[f15759,f8603]) ).
fof(f8603,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f8243,f27]) ).
fof(f15759,plain,
! [X0,X1] : top = join(complement(X0),join(X1,X0)),
inference(forward_demodulation,[],[f15758,f4886]) ).
fof(f15758,plain,
! [X0,X1] : top = join(join(zero,complement(X0)),join(X1,X0)),
inference(forward_demodulation,[],[f15757,f6338]) ).
fof(f15757,plain,
! [X0,X1] : top = join(join(zero,complement(X0)),join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f15583,f4924]) ).
fof(f4924,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(superposition,[],[f57,f4886]) ).
fof(f15583,plain,
! [X0,X1] : top = join(join(zero,complement(X0)),join(X1,meet(X0,top))),
inference(superposition,[],[f14105,f57]) ).
fof(f14105,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f13955,f8017]) ).
fof(f13955,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f1381,f27]) ).
fof(f897453,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f897452,f6338]) ).
fof(f897452,plain,
! [X0,X1] : complement(complement(meet(X0,X1))) = meet(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f896768,f165811]) ).
fof(f165811,plain,
! [X0,X1] : join(complement(X1),X0) = complement(meet(X1,complement(X0))),
inference(superposition,[],[f2837,f6338]) ).
fof(f2837,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[],[f2836,f2547]) ).
fof(f2547,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f2514,f27]) ).
fof(f2514,plain,
! [X0] : complement(X0) = join(zero,complement(join(complement(complement(X0)),X0))),
inference(superposition,[],[f36,f748]) ).
fof(f748,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f739,f52]) ).
fof(f739,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f30,f681]) ).
fof(f2836,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f2835,f27]) ).
fof(f2835,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))),
inference(forward_demodulation,[],[f2834,f46]) ).
fof(f46,plain,
! [X2,X0,X1] : meet(X2,join(complement(X0),complement(X1))) = complement(join(complement(X2),meet(X0,X1))),
inference(superposition,[],[f30,f30]) ).
fof(f2834,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f2822,f897]) ).
fof(f2822,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(superposition,[],[f2751,f30]) ).
fof(f2751,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(superposition,[],[f2564,f27]) ).
fof(f2564,plain,
! [X0] : join(meet(X0,complement(complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f2533,f52]) ).
fof(f2533,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f36,f26]) ).
fof(f896768,plain,
! [X0,X1] : complement(complement(meet(X0,X1))) = meet(X0,complement(meet(X0,complement(X1)))),
inference(superposition,[],[f6356,f791297]) ).
fof(f791297,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),meet(X0,complement(X1))),
inference(forward_demodulation,[],[f791296,f2837]) ).
fof(f791296,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),meet(X0,complement(X1))),
inference(forward_demodulation,[],[f791295,f8269]) ).
fof(f8269,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f7798,f27]) ).
fof(f791295,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),meet(X0,complement(join(X1,meet(X1,X0))))),
inference(forward_demodulation,[],[f791294,f607160]) ).
fof(f607160,plain,
! [X2,X0,X1] : complement(join(meet(X1,X0),X2)) = complement(join(X2,meet(X0,X1))),
inference(superposition,[],[f301181,f167348]) ).
fof(f167348,plain,
! [X2,X0,X1] : join(meet(X1,X0),X2) = join(meet(X0,X1),X2),
inference(forward_demodulation,[],[f167042,f4886]) ).
fof(f167042,plain,
! [X2,X0,X1] : join(meet(X1,X0),X2) = join(meet(X0,X1),join(zero,X2)),
inference(superposition,[],[f1382,f166716]) ).
fof(f166716,plain,
! [X0,X1] : meet(X0,X1) = join(zero,meet(X1,X0)),
inference(forward_demodulation,[],[f166382,f8341]) ).
fof(f8341,plain,
! [X0] : zero = meet(X0,zero),
inference(superposition,[],[f8317,f897]) ).
fof(f8317,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[],[f8271,f5329]) ).
fof(f5329,plain,
zero = converse(zero),
inference(forward_demodulation,[],[f5328,f5034]) ).
fof(f5034,plain,
! [X0] : zero = join(meet(zero,X0),complement(join(top,X0))),
inference(superposition,[],[f36,f4914]) ).
fof(f4914,plain,
top = complement(zero),
inference(superposition,[],[f4886,f26]) ).
fof(f5328,plain,
! [X0] : converse(zero) = join(meet(zero,X0),complement(join(top,X0))),
inference(forward_demodulation,[],[f5306,f5325]) ).
fof(f5325,plain,
! [X0] : meet(zero,X0) = meet(converse(zero),X0),
inference(forward_demodulation,[],[f5304,f5032]) ).
fof(f5032,plain,
! [X0] : complement(join(top,complement(X0))) = meet(zero,X0),
inference(superposition,[],[f30,f4914]) ).
fof(f5304,plain,
! [X0] : complement(join(top,complement(X0))) = meet(converse(zero),X0),
inference(superposition,[],[f30,f5255]) ).
fof(f5255,plain,
top = complement(converse(zero)),
inference(forward_demodulation,[],[f5222,f3073]) ).
fof(f3073,plain,
top = converse(top),
inference(forward_demodulation,[],[f3067,f23]) ).
fof(f3067,plain,
converse(top) = converse(converse(top)),
inference(superposition,[],[f317,f3045]) ).
fof(f3045,plain,
converse(top) = join(top,converse(top)),
inference(forward_demodulation,[],[f3044,f316]) ).
fof(f316,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(superposition,[],[f39,f26]) ).
fof(f39,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f23]) ).
fof(f3044,plain,
join(top,converse(complement(converse(top)))) = join(top,converse(top)),
inference(forward_demodulation,[],[f3007,f27]) ).
fof(f3007,plain,
join(top,converse(complement(converse(top)))) = join(converse(top),top),
inference(superposition,[],[f2987,f682]) ).
fof(f682,plain,
! [X0] : converse(top) = join(converse(complement(converse(X0))),X0),
inference(forward_demodulation,[],[f639,f23]) ).
fof(f639,plain,
! [X0] : join(converse(complement(converse(X0))),X0) = converse(converse(converse(top))),
inference(superposition,[],[f605,f316]) ).
fof(f2987,plain,
! [X0] : join(top,X0) = join(join(X0,top),top),
inference(forward_demodulation,[],[f2958,f2657]) ).
fof(f2657,plain,
! [X0] : join(top,X0) = join(top,join(top,X0)),
inference(superposition,[],[f34,f2641]) ).
fof(f2958,plain,
! [X0] : join(top,join(top,X0)) = join(join(X0,top),top),
inference(superposition,[],[f1564,f2884]) ).
fof(f2884,plain,
! [X0] : join(X0,top) = join(sK0,join(top,X0)),
inference(forward_demodulation,[],[f2872,f2568]) ).
fof(f2568,plain,
! [X0] : join(X0,top) = join(top,meet(X0,X0)),
inference(superposition,[],[f2077,f2541]) ).
fof(f2872,plain,
! [X0] : join(sK0,join(top,X0)) = join(top,meet(X0,X0)),
inference(superposition,[],[f1765,f2854]) ).
fof(f2854,plain,
! [X0] : join(top,X0) = join(meet(X0,X0),top),
inference(forward_demodulation,[],[f2852,f23]) ).
fof(f2852,plain,
! [X0] : converse(converse(join(top,X0))) = join(meet(X0,X0),top),
inference(superposition,[],[f605,f2569]) ).
fof(f2569,plain,
! [X0] : join(top,X0) = join(top,meet(X0,X0)),
inference(superposition,[],[f1407,f2541]) ).
fof(f1765,plain,
! [X0] : join(top,X0) = join(sK0,join(X0,top)),
inference(superposition,[],[f1564,f34]) ).
fof(f1564,plain,
! [X0] : join(top,X0) = join(join(sK0,X0),top),
inference(forward_demodulation,[],[f1561,f23]) ).
fof(f1561,plain,
! [X0] : join(join(sK0,X0),top) = converse(converse(join(top,X0))),
inference(superposition,[],[f605,f1459]) ).
fof(f1459,plain,
! [X0] : join(top,X0) = join(top,join(sK0,X0)),
inference(superposition,[],[f34,f1450]) ).
fof(f1450,plain,
top = join(top,sK0),
inference(superposition,[],[f1442,f27]) ).
fof(f1442,plain,
top = join(sK0,top),
inference(superposition,[],[f1409,f26]) ).
fof(f317,plain,
! [X0,X1] : join(X0,converse(X1)) = converse(join(X1,converse(X0))),
inference(superposition,[],[f39,f27]) ).
fof(f5222,plain,
converse(top) = complement(converse(zero)),
inference(superposition,[],[f23,f4984]) ).
fof(f4984,plain,
top = converse(complement(converse(zero))),
inference(forward_demodulation,[],[f4917,f3073]) ).
fof(f4917,plain,
converse(top) = converse(complement(converse(zero))),
inference(superposition,[],[f4886,f316]) ).
fof(f5306,plain,
! [X0] : converse(zero) = join(meet(converse(zero),X0),complement(join(top,X0))),
inference(superposition,[],[f36,f5255]) ).
fof(f8271,plain,
! [X0] : converse(zero) = meet(converse(zero),X0),
inference(superposition,[],[f7798,f5001]) ).
fof(f5001,plain,
! [X0] : join(X0,converse(zero)) = X0,
inference(forward_demodulation,[],[f4955,f23]) ).
fof(f4955,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(zero)),
inference(superposition,[],[f317,f4886]) ).
fof(f166382,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),zero),meet(X1,X0)),
inference(superposition,[],[f5111,f165832]) ).
fof(f165832,plain,
! [X0,X1] : meet(X1,X0) = complement(complement(meet(X0,X1))),
inference(superposition,[],[f48,f2837]) ).
fof(f5111,plain,
! [X0] : join(meet(X0,zero),complement(complement(X0))) = X0,
inference(superposition,[],[f36,f4905]) ).
fof(f1382,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(superposition,[],[f34,f27]) ).
fof(f301181,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f301180,f6338]) ).
fof(f301180,plain,
! [X0,X1] : complement(join(X1,X0)) = complement(join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f301179,f4924]) ).
fof(f301179,plain,
! [X0,X1] : complement(join(X1,X0)) = complement(join(meet(X0,top),X1)),
inference(forward_demodulation,[],[f301178,f238034]) ).
fof(f301178,plain,
! [X0,X1] : complement(join(meet(X0,top),X1)) = meet(complement(X1),complement(X0)),
inference(forward_demodulation,[],[f300784,f4886]) ).
fof(f300784,plain,
! [X0,X1] : complement(join(meet(X0,top),X1)) = meet(complement(X1),join(zero,complement(X0))),
inference(superposition,[],[f6359,f57]) ).
fof(f6359,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = meet(complement(X0),X1),
inference(superposition,[],[f48,f6338]) ).
fof(f791294,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),meet(X0,complement(join(meet(X0,X1),X1)))),
inference(forward_demodulation,[],[f791293,f897]) ).
fof(f791293,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),meet(complement(join(meet(X0,X1),X1)),X0)),
inference(forward_demodulation,[],[f791292,f238105]) ).
fof(f238105,plain,
! [X2,X0,X1] : complement(join(X1,join(X0,complement(X2)))) = meet(complement(join(X0,X1)),X2),
inference(superposition,[],[f6355,f1382]) ).
fof(f791292,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(X1,join(meet(X0,X1),complement(X0))))),
inference(forward_demodulation,[],[f790182,f302899]) ).
fof(f302899,plain,
! [X2,X0,X1] : complement(join(X2,join(X0,X1))) = complement(join(X1,join(X2,X0))),
inference(forward_demodulation,[],[f301482,f34]) ).
fof(f301482,plain,
! [X2,X0,X1] : complement(join(X2,join(X0,X1))) = complement(join(join(X1,X2),X0)),
inference(superposition,[],[f301181,f1417]) ).
fof(f1417,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f34,f27]) ).
fof(f790182,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(meet(X0,X1),join(complement(X0),X1)))),
inference(superposition,[],[f2559,f36]) ).
fof(f2559,plain,
! [X2,X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),complement(X2))),complement(join(meet(X0,X1),X2))),
inference(forward_demodulation,[],[f2522,f45]) ).
fof(f45,plain,
! [X2,X0,X1] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(superposition,[],[f30,f30]) ).
fof(f2522,plain,
! [X2,X0,X1] : join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X2),complement(join(meet(X0,X1),X2))),
inference(superposition,[],[f36,f30]) ).
fof(f6356,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = meet(X1,complement(X0)),
inference(superposition,[],[f30,f6338]) ).
fof(f8243,plain,
! [X0,X1] : join(meet(X1,X0),X0) = X0,
inference(superposition,[],[f7798,f897]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL047+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 15:34:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (4141)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (4144)WARNING: value z3 for option sas not known
% 0.13/0.37 % (4146)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)
% 0.13/0.37 % (4145)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (4143)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (4147)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)
% 0.13/0.37 % (4144)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)
% 0.13/0.37 % (4148)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.38 % (4142)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.39 TRYING [4]
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.19/0.41 TRYING [3]
% 0.19/0.43 TRYING [5]
% 0.19/0.46 TRYING [4]
% 0.19/0.55 TRYING [6]
% 4.24/0.97 TRYING [7]
% 6.34/1.29 TRYING [5]
% 7.79/1.47 TRYING [1]
% 7.79/1.47 TRYING [2]
% 7.79/1.47 TRYING [3]
% 8.00/1.49 TRYING [4]
% 8.33/1.54 TRYING [5]
% 8.94/1.68 TRYING [6]
% 13.79/2.35 TRYING [7]
% 15.11/2.54 TRYING [8]
% 31.03/4.79 TRYING [8]
% 40.18/6.16 TRYING [9]
% 80.86/11.99 TRYING [9]
% 100.88/14.89 TRYING [10]
% 134.27/19.59 % (4148)First to succeed.
% 134.27/19.59 % (4148)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4141"
% 134.27/19.61 % (4148)Refutation found. Thanks to Tanya!
% 134.27/19.61 % SZS status Theorem for theBenchmark
% 134.27/19.61 % SZS output start Proof for theBenchmark
% See solution above
% 134.27/19.62 % (4148)------------------------------
% 134.27/19.62 % (4148)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 134.27/19.62 % (4148)Termination reason: Refutation
% 134.27/19.62
% 134.27/19.62 % (4148)Memory used [KB]: 192494
% 134.27/19.62 % (4148)Time elapsed: 19.212 s
% 134.27/19.62 % (4148)Instructions burned: 42755 (million)
% 134.27/19.62 % (4141)Success in time 19.218 s
%------------------------------------------------------------------------------