TSTP Solution File: REL007+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL007+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 : n010.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 14:48:00 EDT 2024
% Result : Theorem 2.93s 0.78s
% Output : Refutation 2.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 13
% Syntax : Number of formulae : 150 ( 145 unt; 0 def)
% Number of atoms : 157 ( 156 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(f26382,plain,
$false,
inference(subsumption_resolution,[],[f26381,f20]) ).
fof(f20,plain,
zero != meet(converse(sK0),sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( zero != meet(converse(sK0),sK1)
& zero = meet(sK0,converse(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
fof(f17,plain,
( ? [X0,X1] :
( zero != meet(converse(X0),X1)
& zero = meet(X0,converse(X1)) )
=> ( zero != meet(converse(sK0),sK1)
& zero = meet(sK0,converse(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1] :
( zero != meet(converse(X0),X1)
& zero = meet(X0,converse(X1)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( zero = meet(X0,converse(X1))
=> zero = meet(converse(X0),X1) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0,X1] :
( zero = meet(X0,converse(X1))
=> zero = meet(converse(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f26381,plain,
zero = meet(converse(sK0),sK1),
inference(forward_demodulation,[],[f26371,f6356]) ).
fof(f6356,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f6265,f6237]) ).
fof(f6237,plain,
! [X0] : meet(top,X0) = X0,
inference(superposition,[],[f6167,f5521]) ).
fof(f5521,plain,
! [X0] : join(zero,meet(top,X0)) = X0,
inference(superposition,[],[f5476,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/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f5476,plain,
! [X0] : join(meet(top,X0),zero) = X0,
inference(superposition,[],[f5365,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/sandbox/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/sandbox/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/sandbox/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(f5365,plain,
! [X0] : join(meet(X0,top),zero) = X0,
inference(forward_demodulation,[],[f5338,f50]) ).
fof(f5338,plain,
! [X0] : join(meet(X0,top),complement(top)) = X0,
inference(superposition,[],[f34,f5183]) ).
fof(f5183,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f5167,f2163]) ).
fof(f2163,plain,
! [X0] : join(top,join(zero,X0)) = join(X0,top),
inference(superposition,[],[f1362,f2080]) ).
fof(f2080,plain,
! [X0] : top = join(complement(X0),join(zero,X0)),
inference(superposition,[],[f1915,f25]) ).
fof(f1915,plain,
! [X0] : top = join(complement(X0),join(X0,zero)),
inference(forward_demodulation,[],[f1839,f50]) ).
fof(f1839,plain,
! [X0] : top = join(complement(X0),join(X0,complement(top))),
inference(superposition,[],[f1393,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/sandbox/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/sandbox/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(f1393,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/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f1362,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f32,f23]) ).
fof(f5167,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f5135,f54]) ).
fof(f54,plain,
top = join(top,zero),
inference(superposition,[],[f23,f50]) ).
fof(f5135,plain,
! [X0] : join(top,zero) = join(top,X0),
inference(superposition,[],[f4047,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(f4047,plain,
! [X0,X1] : join(top,X1) = join(top,meet(X0,X1)),
inference(forward_demodulation,[],[f4001,f1362]) ).
fof(f4001,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,meet(X0,X1)),
inference(superposition,[],[f2594,f34]) ).
fof(f2594,plain,
! [X0,X1] : join(top,X1) = join(join(X1,complement(X0)),X0),
inference(forward_demodulation,[],[f2572,f21]) ).
fof(f2572,plain,
! [X0,X1] : converse(converse(join(top,X1))) = join(join(X1,complement(X0)),X0),
inference(superposition,[],[f609,f1698]) ).
fof(f1698,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f1362,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/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f6167,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f4147,f4009]) ).
fof(f4009,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f3957,f28]) ).
fof(f3957,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f34,f24]) ).
fof(f4147,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f4146,f50]) ).
fof(f4146,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(forward_demodulation,[],[f4118,f4143]) ).
fof(f4143,plain,
top = join(top,top),
inference(forward_demodulation,[],[f4142,f54]) ).
fof(f4142,plain,
join(top,zero) = join(top,top),
inference(forward_demodulation,[],[f4116,f1389]) ).
fof(f1389,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(f4116,plain,
join(top,zero) = join(zero,join(top,top)),
inference(superposition,[],[f2594,f4025]) ).
fof(f4025,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f4024,f1418]) ).
fof(f1418,plain,
join(top,top) = join(top,complement(zero)),
inference(superposition,[],[f1388,f23]) ).
fof(f1388,plain,
! [X0] : join(top,X0) = join(top,join(zero,X0)),
inference(superposition,[],[f32,f54]) ).
fof(f4024,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f3970,f25]) ).
fof(f3970,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(f4118,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,top)),X0)),
inference(superposition,[],[f32,f4025]) ).
fof(f6265,plain,
! [X0] : complement(complement(X0)) = meet(top,X0),
inference(superposition,[],[f52,f6167]) ).
fof(f26371,plain,
zero = meet(converse(sK0),complement(complement(sK1))),
inference(superposition,[],[f15618,f26315]) ).
fof(f26315,plain,
complement(sK1) = join(converse(sK0),complement(sK1)),
inference(superposition,[],[f14190,f26247]) ).
fof(f26247,plain,
sK0 = meet(sK0,converse(complement(sK1))),
inference(superposition,[],[f26018,f6224]) ).
fof(f6224,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f6223,f6167]) ).
fof(f6223,plain,
! [X0] : join(zero,X0) = join(join(zero,X0),zero),
inference(forward_demodulation,[],[f6212,f21]) ).
fof(f6212,plain,
! [X0] : join(join(zero,X0),zero) = converse(converse(join(zero,X0))),
inference(superposition,[],[f609,f4147]) ).
fof(f26018,plain,
sK0 = join(meet(sK0,converse(complement(sK1))),zero),
inference(forward_demodulation,[],[f25988,f50]) ).
fof(f25988,plain,
sK0 = join(meet(sK0,converse(complement(sK1))),complement(top)),
inference(superposition,[],[f34,f25852]) ).
fof(f25852,plain,
top = join(complement(sK0),converse(complement(sK1))),
inference(forward_demodulation,[],[f25817,f5196]) ).
fof(f5196,plain,
top = converse(top),
inference(superposition,[],[f5167,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(f25817,plain,
converse(top) = join(complement(sK0),converse(complement(sK1))),
inference(superposition,[],[f37,f25766]) ).
fof(f25766,plain,
top = join(converse(complement(sK0)),complement(sK1)),
inference(superposition,[],[f6651,f25360]) ).
fof(f25360,plain,
converse(complement(sK0)) = join(sK1,converse(complement(sK0))),
inference(superposition,[],[f319,f25239]) ).
fof(f25239,plain,
complement(sK0) = join(complement(sK0),converse(sK1)),
inference(forward_demodulation,[],[f25238,f6583]) ).
fof(f6583,plain,
! [X0,X1] : complement(X0) = join(meet(complement(X0),X1),complement(join(X0,X1))),
inference(superposition,[],[f34,f6356]) ).
fof(f25238,plain,
! [X0] : join(complement(sK0),converse(sK1)) = join(meet(complement(sK0),X0),complement(join(sK0,X0))),
inference(forward_demodulation,[],[f25162,f25236]) ).
fof(f25236,plain,
! [X0] : meet(join(complement(sK0),converse(sK1)),X0) = meet(complement(sK0),X0),
inference(forward_demodulation,[],[f25159,f6581]) ).
fof(f6581,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(superposition,[],[f28,f6356]) ).
fof(f25159,plain,
! [X0] : meet(join(complement(sK0),converse(sK1)),X0) = complement(join(sK0,complement(X0))),
inference(superposition,[],[f28,f25051]) ).
fof(f25051,plain,
sK0 = complement(join(complement(sK0),converse(sK1))),
inference(superposition,[],[f3971,f6167]) ).
fof(f3971,plain,
sK0 = join(zero,complement(join(complement(sK0),converse(sK1)))),
inference(superposition,[],[f34,f19]) ).
fof(f19,plain,
zero = meet(sK0,converse(sK1)),
inference(cnf_transformation,[],[f18]) ).
fof(f25162,plain,
! [X0] : join(complement(sK0),converse(sK1)) = join(meet(join(complement(sK0),converse(sK1)),X0),complement(join(sK0,X0))),
inference(superposition,[],[f34,f25051]) ).
fof(f319,plain,
! [X0,X1] : join(X0,converse(X1)) = converse(join(X1,converse(X0))),
inference(superposition,[],[f37,f25]) ).
fof(f6651,plain,
! [X0,X1] : top = join(join(X0,X1),complement(X0)),
inference(forward_demodulation,[],[f6605,f5167]) ).
fof(f6605,plain,
! [X0,X1] : join(top,X1) = join(join(X0,X1),complement(X0)),
inference(superposition,[],[f1723,f6356]) ).
fof(f1723,plain,
! [X0,X1] : join(top,X1) = join(join(complement(X0),X1),X0),
inference(forward_demodulation,[],[f1708,f21]) ).
fof(f1708,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = converse(converse(join(top,X1))),
inference(superposition,[],[f609,f1362]) ).
fof(f14190,plain,
! [X0,X1] : join(converse(meet(X0,converse(X1))),X1) = X1,
inference(forward_demodulation,[],[f14165,f21]) ).
fof(f14165,plain,
! [X0,X1] : converse(converse(X1)) = join(converse(meet(X0,converse(X1))),X1),
inference(superposition,[],[f38,f13982]) ).
fof(f13982,plain,
! [X0,X1] : join(meet(X1,X0),X0) = X0,
inference(superposition,[],[f13793,f882]) ).
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(f13793,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f7757,f34]) ).
fof(f7757,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f32,f7725]) ).
fof(f7725,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f7473,f6356]) ).
fof(f7473,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f7472,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/sandbox/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/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f7472,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(forward_demodulation,[],[f7431,f127]) ).
fof(f7431,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/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f38,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f27,f21]) ).
fof(f15618,plain,
! [X0,X1] : zero = meet(X0,complement(join(X0,X1))),
inference(superposition,[],[f10921,f15138]) ).
fof(f15138,plain,
! [X0,X1] : meet(X1,join(X1,X0)) = X1,
inference(superposition,[],[f15027,f25]) ).
fof(f15027,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f9386,f6224]) ).
fof(f9386,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),zero) = X0,
inference(forward_demodulation,[],[f9385,f6356]) ).
fof(f9385,plain,
! [X0,X1] : join(meet(X0,join(X1,complement(complement(X0)))),zero) = X0,
inference(forward_demodulation,[],[f9336,f50]) ).
fof(f9336,plain,
! [X0,X1] : join(meet(X0,join(X1,complement(complement(X0)))),complement(top)) = X0,
inference(superposition,[],[f34,f8117]) ).
fof(f8117,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f6651,f32]) ).
fof(f10921,plain,
! [X0,X1] : zero = meet(meet(X1,X0),complement(X0)),
inference(forward_demodulation,[],[f10920,f6235]) ).
fof(f6235,plain,
! [X0] : meet(X0,top) = X0,
inference(superposition,[],[f6167,f5484]) ).
fof(f5484,plain,
! [X0] : join(zero,meet(X0,top)) = X0,
inference(superposition,[],[f5365,f25]) ).
fof(f10920,plain,
! [X0,X1] : zero = meet(meet(X1,meet(X0,top)),complement(X0)),
inference(forward_demodulation,[],[f10866,f6167]) ).
fof(f10866,plain,
! [X0,X1] : zero = meet(meet(X1,meet(X0,top)),join(zero,complement(X0))),
inference(superposition,[],[f10405,f55]) ).
fof(f10405,plain,
! [X0,X1] : zero = meet(meet(X1,complement(X0)),X0),
inference(forward_demodulation,[],[f10344,f50]) ).
fof(f10344,plain,
! [X0,X1] : complement(top) = meet(meet(X1,complement(X0)),X0),
inference(superposition,[],[f46,f9122]) ).
fof(f9122,plain,
! [X0,X1] : top = join(X0,complement(meet(X1,X0))),
inference(superposition,[],[f8033,f882]) ).
fof(f8033,plain,
! [X0,X1] : top = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f6651,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : REL007+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n010.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 00:08:35 EDT 2024
% 0.15/0.31 % CPUTime :
% 0.15/0.31 % (29400)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (29403)WARNING: value z3 for option sas not known
% 0.15/0.33 % (29407)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)
% 0.15/0.33 % (29406)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)
% 0.15/0.33 % (29404)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33 % (29402)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33 % (29405)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)
% 0.15/0.33 % (29401)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33 % (29403)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)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.34 TRYING [1]
% 0.15/0.34 TRYING [3]
% 0.15/0.34 TRYING [2]
% 0.15/0.35 TRYING [3]
% 0.15/0.35 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [5]
% 0.15/0.53 TRYING [6]
% 2.93/0.78 % (29407)First to succeed.
% 2.93/0.78 % (29407)Refutation found. Thanks to Tanya!
% 2.93/0.78 % SZS status Theorem for theBenchmark
% 2.93/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.93/0.79 % (29407)------------------------------
% 2.93/0.79 % (29407)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.93/0.79 % (29407)Termination reason: Refutation
% 2.93/0.79
% 2.93/0.79 % (29407)Memory used [KB]: 6228
% 2.93/0.79 % (29407)Time elapsed: 0.454 s
% 2.93/0.79 % (29407)Instructions burned: 982 (million)
% 2.93/0.79 % (29407)------------------------------
% 2.93/0.79 % (29407)------------------------------
% 2.93/0.79 % (29400)Success in time 0.453 s
%------------------------------------------------------------------------------