TSTP Solution File: REL006+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL006+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 : n018.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 08:52:53 EDT 2024
% Result : Theorem 2.43s 0.75s
% Output : Refutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 13
% Syntax : Number of formulae : 151 ( 146 unt; 0 def)
% Number of atoms : 158 ( 157 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 182 ( 178 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29990,plain,
$false,
inference(subsumption_resolution,[],[f29989,f20]) ).
fof(f20,plain,
zero != meet(sK0,converse(sK1)),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( zero != meet(sK0,converse(sK1))
& zero = meet(converse(sK0),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
fof(f17,plain,
( ? [X0,X1] :
( zero != meet(X0,converse(X1))
& zero = meet(converse(X0),X1) )
=> ( zero != meet(sK0,converse(sK1))
& zero = meet(converse(sK0),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1] :
( zero != meet(X0,converse(X1))
& zero = meet(converse(X0),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( zero = meet(converse(X0),X1)
=> zero = meet(X0,converse(X1)) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0,X1] :
( zero = meet(converse(X0),X1)
=> zero = meet(X0,converse(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f29989,plain,
zero = meet(sK0,converse(sK1)),
inference(forward_demodulation,[],[f29975,f6363]) ).
fof(f6363,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f6272,f6244]) ).
fof(f6244,plain,
! [X0] : meet(top,X0) = X0,
inference(superposition,[],[f6174,f5528]) ).
fof(f5528,plain,
! [X0] : join(zero,meet(top,X0)) = X0,
inference(superposition,[],[f5483,f25]) ).
fof(f25,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f5483,plain,
! [X0] : join(meet(top,X0),zero) = X0,
inference(superposition,[],[f5371,f76]) ).
fof(f76,plain,
! [X0] : meet(X0,top) = meet(top,X0),
inference(superposition,[],[f55,f52]) ).
fof(f52,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f28,f50]) ).
fof(f50,plain,
zero = complement(top),
inference(forward_demodulation,[],[f45,f24]) ).
fof(f24,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(f45,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f28,f23]) ).
fof(f23,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(f28,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f55,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f51,f25]) ).
fof(f51,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f28,f50]) ).
fof(f5371,plain,
! [X0] : join(meet(X0,top),zero) = X0,
inference(forward_demodulation,[],[f5344,f50]) ).
fof(f5344,plain,
! [X0] : join(meet(X0,top),complement(top)) = X0,
inference(superposition,[],[f34,f5189]) ).
fof(f5189,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f5172,f2165]) ).
fof(f2165,plain,
! [X0] : join(top,join(zero,X0)) = join(X0,top),
inference(superposition,[],[f1364,f2082]) ).
fof(f2082,plain,
! [X0] : top = join(complement(X0),join(zero,X0)),
inference(superposition,[],[f1917,f25]) ).
fof(f1917,plain,
! [X0] : top = join(complement(X0),join(X0,zero)),
inference(forward_demodulation,[],[f1841,f50]) ).
fof(f1841,plain,
! [X0] : top = join(complement(X0),join(X0,complement(top))),
inference(superposition,[],[f1395,f683]) ).
fof(f683,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[],[f640,f21]) ).
fof(f21,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(f640,plain,
! [X0] : join(complement(X0),X0) = converse(converse(top)),
inference(superposition,[],[f609,f23]) ).
fof(f609,plain,
! [X0,X1] : join(X1,X0) = converse(converse(join(X0,X1))),
inference(forward_demodulation,[],[f608,f21]) ).
fof(f608,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = converse(converse(join(X1,X0))),
inference(forward_demodulation,[],[f552,f27]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f552,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = converse(join(converse(X1),converse(X0))),
inference(superposition,[],[f512,f27]) ).
fof(f512,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f39,f27]) ).
fof(f39,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f27,f25]) ).
fof(f1395,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f32,f23]) ).
fof(f32,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f1364,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f32,f23]) ).
fof(f5172,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f5139,f54]) ).
fof(f54,plain,
top = join(top,zero),
inference(superposition,[],[f23,f50]) ).
fof(f5139,plain,
! [X0] : join(top,zero) = join(top,X0),
inference(superposition,[],[f4051,f733]) ).
fof(f733,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f724,f50]) ).
fof(f724,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f28,f683]) ).
fof(f4051,plain,
! [X0,X1] : join(top,X1) = join(top,meet(X0,X1)),
inference(forward_demodulation,[],[f4004,f1364]) ).
fof(f4004,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,meet(X0,X1)),
inference(superposition,[],[f2596,f34]) ).
fof(f2596,plain,
! [X0,X1] : join(top,X1) = join(join(X1,complement(X0)),X0),
inference(forward_demodulation,[],[f2574,f21]) ).
fof(f2574,plain,
! [X0,X1] : converse(converse(join(top,X1))) = join(join(X1,complement(X0)),X0),
inference(superposition,[],[f609,f1700]) ).
fof(f1700,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f1364,f25]) ).
fof(f34,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f30,f28]) ).
fof(f30,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f6174,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f4151,f4012]) ).
fof(f4012,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f3959,f28]) ).
fof(f3959,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f34,f24]) ).
fof(f4151,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f4150,f50]) ).
fof(f4150,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(forward_demodulation,[],[f4122,f4147]) ).
fof(f4147,plain,
top = join(top,top),
inference(forward_demodulation,[],[f4146,f54]) ).
fof(f4146,plain,
join(top,zero) = join(top,top),
inference(forward_demodulation,[],[f4120,f1391]) ).
fof(f1391,plain,
! [X0] : join(top,X0) = join(zero,join(top,X0)),
inference(superposition,[],[f32,f697]) ).
fof(f697,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f656,f21]) ).
fof(f656,plain,
join(zero,top) = converse(converse(top)),
inference(superposition,[],[f609,f54]) ).
fof(f4120,plain,
join(top,zero) = join(zero,join(top,top)),
inference(superposition,[],[f2596,f4029]) ).
fof(f4029,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f4028,f1420]) ).
fof(f1420,plain,
join(top,top) = join(top,complement(zero)),
inference(superposition,[],[f1390,f23]) ).
fof(f1390,plain,
! [X0] : join(top,X0) = join(top,join(zero,X0)),
inference(superposition,[],[f32,f54]) ).
fof(f4028,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f3973,f25]) ).
fof(f3973,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f34,f84]) ).
fof(f84,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f75,f50]) ).
fof(f75,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f55,f23]) ).
fof(f4122,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,top)),X0)),
inference(superposition,[],[f32,f4029]) ).
fof(f6272,plain,
! [X0] : complement(complement(X0)) = meet(top,X0),
inference(superposition,[],[f52,f6174]) ).
fof(f29975,plain,
zero = meet(complement(complement(sK0)),converse(sK1)),
inference(superposition,[],[f15731,f29888]) ).
fof(f29888,plain,
complement(sK0) = join(converse(sK1),complement(sK0)),
inference(superposition,[],[f14344,f29816]) ).
fof(f29816,plain,
sK1 = meet(sK1,converse(complement(sK0))),
inference(superposition,[],[f29612,f6231]) ).
fof(f6231,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f6230,f6174]) ).
fof(f6230,plain,
! [X0] : join(zero,X0) = join(join(zero,X0),zero),
inference(forward_demodulation,[],[f6219,f21]) ).
fof(f6219,plain,
! [X0] : join(join(zero,X0),zero) = converse(converse(join(zero,X0))),
inference(superposition,[],[f609,f4151]) ).
fof(f29612,plain,
sK1 = join(meet(sK1,converse(complement(sK0))),zero),
inference(forward_demodulation,[],[f29578,f50]) ).
fof(f29578,plain,
sK1 = join(meet(sK1,converse(complement(sK0))),complement(top)),
inference(superposition,[],[f34,f29428]) ).
fof(f29428,plain,
top = join(complement(sK1),converse(complement(sK0))),
inference(forward_demodulation,[],[f29389,f5202]) ).
fof(f5202,plain,
top = converse(top),
inference(superposition,[],[f5172,f318]) ).
fof(f318,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(superposition,[],[f37,f23]) ).
fof(f37,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f27,f21]) ).
fof(f29389,plain,
converse(top) = join(complement(sK1),converse(complement(sK0))),
inference(superposition,[],[f37,f29304]) ).
fof(f29304,plain,
top = join(converse(complement(sK1)),complement(sK0)),
inference(superposition,[],[f6658,f29094]) ).
fof(f29094,plain,
converse(complement(sK1)) = join(sK0,converse(complement(sK1))),
inference(superposition,[],[f319,f29008]) ).
fof(f29008,plain,
complement(sK1) = join(complement(sK1),converse(sK0)),
inference(forward_demodulation,[],[f29007,f6590]) ).
fof(f6590,plain,
! [X0,X1] : complement(X0) = join(meet(complement(X0),X1),complement(join(X0,X1))),
inference(superposition,[],[f34,f6363]) ).
fof(f29007,plain,
! [X0] : join(complement(sK1),converse(sK0)) = join(meet(complement(sK1),X0),complement(join(sK1,X0))),
inference(forward_demodulation,[],[f28927,f29005]) ).
fof(f29005,plain,
! [X0] : meet(join(complement(sK1),converse(sK0)),X0) = meet(complement(sK1),X0),
inference(forward_demodulation,[],[f28924,f6588]) ).
fof(f6588,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(superposition,[],[f28,f6363]) ).
fof(f28924,plain,
! [X0] : meet(join(complement(sK1),converse(sK0)),X0) = complement(join(sK1,complement(X0))),
inference(superposition,[],[f28,f28808]) ).
fof(f28808,plain,
sK1 = complement(join(complement(sK1),converse(sK0))),
inference(superposition,[],[f3974,f6174]) ).
fof(f3974,plain,
sK1 = join(zero,complement(join(complement(sK1),converse(sK0)))),
inference(superposition,[],[f34,f899]) ).
fof(f899,plain,
zero = meet(sK1,converse(sK0)),
inference(superposition,[],[f882,f19]) ).
fof(f19,plain,
zero = meet(converse(sK0),sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f882,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f46,f28]) ).
fof(f46,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f28,f25]) ).
fof(f28927,plain,
! [X0] : join(complement(sK1),converse(sK0)) = join(meet(join(complement(sK1),converse(sK0)),X0),complement(join(sK1,X0))),
inference(superposition,[],[f34,f28808]) ).
fof(f319,plain,
! [X0,X1] : join(X0,converse(X1)) = converse(join(X1,converse(X0))),
inference(superposition,[],[f37,f25]) ).
fof(f6658,plain,
! [X0,X1] : top = join(join(X0,X1),complement(X0)),
inference(forward_demodulation,[],[f6612,f5172]) ).
fof(f6612,plain,
! [X0,X1] : join(top,X1) = join(join(X0,X1),complement(X0)),
inference(superposition,[],[f1725,f6363]) ).
fof(f1725,plain,
! [X0,X1] : join(top,X1) = join(join(complement(X0),X1),X0),
inference(forward_demodulation,[],[f1710,f21]) ).
fof(f1710,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = converse(converse(join(top,X1))),
inference(superposition,[],[f609,f1364]) ).
fof(f14344,plain,
! [X0,X1] : join(converse(meet(X0,converse(X1))),X1) = X1,
inference(forward_demodulation,[],[f14319,f21]) ).
fof(f14319,plain,
! [X0,X1] : converse(converse(X1)) = join(converse(meet(X0,converse(X1))),X1),
inference(superposition,[],[f38,f14086]) ).
fof(f14086,plain,
! [X0,X1] : join(meet(X1,X0),X0) = X0,
inference(superposition,[],[f13897,f882]) ).
fof(f13897,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f7801,f34]) ).
fof(f7801,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f32,f7769]) ).
fof(f7769,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f7458,f6363]) ).
fof(f7458,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f7457,f127]) ).
fof(f127,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f114,f120]) ).
fof(f120,plain,
one = converse(one),
inference(superposition,[],[f114,f22]) ).
fof(f22,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(f114,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f101,f21]) ).
fof(f101,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f36,f22]) ).
fof(f36,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f26,f21]) ).
fof(f26,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f7457,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(forward_demodulation,[],[f7416,f127]) ).
fof(f7416,plain,
! [X0] : complement(X0) = join(composition(one,complement(composition(one,X0))),complement(X0)),
inference(superposition,[],[f29,f120]) ).
fof(f29,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f38,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f27,f21]) ).
fof(f15731,plain,
! [X0,X1] : zero = meet(complement(join(X0,X1)),X0),
inference(superposition,[],[f11085,f15250]) ).
fof(f15250,plain,
! [X0,X1] : meet(X1,join(X1,X0)) = X1,
inference(superposition,[],[f15139,f25]) ).
fof(f15139,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f9450,f6231]) ).
fof(f9450,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),zero) = X0,
inference(forward_demodulation,[],[f9449,f6363]) ).
fof(f9449,plain,
! [X0,X1] : join(meet(X0,join(X1,complement(complement(X0)))),zero) = X0,
inference(forward_demodulation,[],[f9400,f50]) ).
fof(f9400,plain,
! [X0,X1] : join(meet(X0,join(X1,complement(complement(X0)))),complement(top)) = X0,
inference(superposition,[],[f34,f8165]) ).
fof(f8165,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f6658,f32]) ).
fof(f11085,plain,
! [X0,X1] : zero = meet(complement(X0),meet(X1,X0)),
inference(forward_demodulation,[],[f11084,f6174]) ).
fof(f11084,plain,
! [X0,X1] : zero = meet(join(zero,complement(X0)),meet(X1,X0)),
inference(forward_demodulation,[],[f11033,f6242]) ).
fof(f6242,plain,
! [X0] : meet(X0,top) = X0,
inference(superposition,[],[f6174,f5491]) ).
fof(f5491,plain,
! [X0] : join(zero,meet(X0,top)) = X0,
inference(superposition,[],[f5371,f25]) ).
fof(f11033,plain,
! [X0,X1] : zero = meet(join(zero,complement(X0)),meet(X1,meet(X0,top))),
inference(superposition,[],[f10474,f55]) ).
fof(f10474,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(X0))),
inference(forward_demodulation,[],[f10411,f50]) ).
fof(f10411,plain,
! [X0,X1] : complement(top) = meet(X0,meet(X1,complement(X0))),
inference(superposition,[],[f28,f9183]) ).
fof(f9183,plain,
! [X0,X1] : top = join(X0,complement(meet(X1,X0))),
inference(superposition,[],[f8081,f882]) ).
fof(f8081,plain,
! [X0,X1] : top = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f6658,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : REL006+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n018.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 May 3 16:49:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (13042)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (13048)WARNING: value z3 for option sas not known
% 0.14/0.38 % (13047)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (13049)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (13051)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)
% 0.14/0.38 % (13048)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)
% 0.14/0.38 % (13046)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (13052)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)
% 0.14/0.38 % (13050)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.21/0.40 TRYING [3]
% 0.21/0.40 TRYING [4]
% 0.21/0.45 TRYING [5]
% 0.21/0.47 TRYING [4]
% 1.40/0.57 TRYING [6]
% 2.43/0.75 % (13052)First to succeed.
% 2.43/0.75 % (13052)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13042"
% 2.43/0.75 % (13052)Refutation found. Thanks to Tanya!
% 2.43/0.75 % SZS status Theorem for theBenchmark
% 2.43/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.43/0.75 % (13052)------------------------------
% 2.43/0.75 % (13052)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.43/0.75 % (13052)Termination reason: Refutation
% 2.43/0.75
% 2.43/0.75 % (13052)Memory used [KB]: 7194
% 2.43/0.75 % (13052)Time elapsed: 0.374 s
% 2.43/0.75 % (13052)Instructions burned: 1097 (million)
% 2.43/0.75 % (13042)Success in time 0.381 s
%------------------------------------------------------------------------------