TSTP Solution File: REL010+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL010+2 : 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 : Tue Apr 30 14:48:02 EDT 2024
% Result : Theorem 2.60s 0.72s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 16
% Syntax : Number of formulae : 149 ( 144 unt; 0 def)
% Number of atoms : 156 ( 155 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 8 ( 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 : 166 ( 160 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19257,plain,
$false,
inference(subsumption_resolution,[],[f19236,f23]) ).
fof(f23,plain,
zero != meet(sK1,composition(converse(sK0),sK2)),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( zero != meet(sK1,composition(converse(sK0),sK2))
& zero = meet(composition(sK0,sK1),sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f19,f20]) ).
fof(f20,plain,
( ? [X0,X1,X2] :
( zero != meet(X1,composition(converse(X0),X2))
& zero = meet(composition(X0,X1),X2) )
=> ( zero != meet(sK1,composition(converse(sK0),sK2))
& zero = meet(composition(sK0,sK1),sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1,X2] :
( zero != meet(X1,composition(converse(X0),X2))
& zero = meet(composition(X0,X1),X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( zero = meet(composition(X0,X1),X2)
=> zero = meet(X1,composition(converse(X0),X2)) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( zero = meet(composition(X0,X1),X2)
=> zero = meet(X1,composition(converse(X0),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f19236,plain,
zero = meet(sK1,composition(converse(sK0),sK2)),
inference(superposition,[],[f18749,f1224]) ).
fof(f1224,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f1197,f28]) ).
fof(f28,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(f1197,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f821,f691]) ).
fof(f691,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f669,f31]) ).
fof(f31,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(f669,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f631,f27]) ).
fof(f27,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(f631,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f33,f31]) ).
fof(f33,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(f821,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f34,f812]) ).
fof(f812,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f802,f55]) ).
fof(f55,plain,
zero = complement(top),
inference(forward_demodulation,[],[f50,f27]) ).
fof(f50,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f31,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/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f802,plain,
zero = join(zero,complement(top)),
inference(superposition,[],[f701,f799]) ).
fof(f799,plain,
top = join(top,top),
inference(forward_demodulation,[],[f798,f366]) ).
fof(f366,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[],[f332,f24]) ).
fof(f24,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(f332,plain,
! [X0] : join(complement(X0),X0) = converse(converse(top)),
inference(superposition,[],[f272,f26]) ).
fof(f272,plain,
! [X0,X1] : join(X0,X1) = converse(converse(join(X1,X0))),
inference(superposition,[],[f24,f227]) ).
fof(f227,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f42,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/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f42,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f29,f28]) ).
fof(f798,plain,
join(top,top) = join(complement(zero),zero),
inference(forward_demodulation,[],[f797,f725]) ).
fof(f725,plain,
complement(zero) = meet(top,join(top,top)),
inference(superposition,[],[f57,f701]) ).
fof(f57,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f31,f55]) ).
fof(f797,plain,
join(top,top) = join(meet(top,join(top,top)),zero),
inference(forward_demodulation,[],[f796,f95]) ).
fof(f95,plain,
! [X0] : meet(X0,top) = meet(top,X0),
inference(superposition,[],[f60,f57]) ).
fof(f60,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f56,f28]) ).
fof(f56,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f31,f55]) ).
fof(f796,plain,
join(top,top) = join(meet(join(top,top),top),zero),
inference(forward_demodulation,[],[f788,f55]) ).
fof(f788,plain,
join(top,top) = join(meet(join(top,top),top),complement(top)),
inference(superposition,[],[f631,f744]) ).
fof(f744,plain,
top = join(complement(join(top,top)),top),
inference(forward_demodulation,[],[f742,f24]) ).
fof(f742,plain,
converse(converse(top)) = join(complement(join(top,top)),top),
inference(superposition,[],[f272,f731]) ).
fof(f731,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f730,f59]) ).
fof(f59,plain,
top = join(top,zero),
inference(superposition,[],[f26,f55]) ).
fof(f730,plain,
join(top,zero) = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f726,f28]) ).
fof(f726,plain,
join(zero,top) = join(top,complement(join(top,top))),
inference(superposition,[],[f375,f701]) ).
fof(f375,plain,
! [X0] : join(top,X0) = join(join(zero,X0),top),
inference(forward_demodulation,[],[f344,f24]) ).
fof(f344,plain,
! [X0] : join(join(zero,X0),top) = converse(converse(join(top,X0))),
inference(superposition,[],[f272,f66]) ).
fof(f66,plain,
! [X0] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[],[f34,f59]) ).
fof(f701,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f700,f105]) ).
fof(f105,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[],[f66,f26]) ).
fof(f700,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f676,f28]) ).
fof(f676,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f631,f102]) ).
fof(f102,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f94,f55]) ).
fof(f94,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f60,f26]) ).
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/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f18749,plain,
zero = join(meet(sK1,composition(converse(sK0),sK2)),zero),
inference(forward_demodulation,[],[f18748,f1737]) ).
fof(f1737,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f51,f31]) ).
fof(f51,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f31,f28]) ).
fof(f18748,plain,
zero = join(meet(composition(converse(sK0),sK2),sK1),zero),
inference(forward_demodulation,[],[f18747,f3029]) ).
fof(f3029,plain,
! [X0] : zero = meet(zero,X0),
inference(superposition,[],[f2896,f2100]) ).
fof(f2100,plain,
! [X0] : meet(top,X0) = X0,
inference(superposition,[],[f2085,f1232]) ).
fof(f1232,plain,
! [X0] : complement(complement(X0)) = meet(top,X0),
inference(superposition,[],[f57,f1197]) ).
fof(f2085,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f2078,f1220]) ).
fof(f1220,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f1197,f691]) ).
fof(f2078,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(superposition,[],[f51,f1705]) ).
fof(f1705,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f1694,f1606]) ).
fof(f1606,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f1578,f24]) ).
fof(f1578,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f47,f25]) ).
fof(f25,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(f47,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f24]) ).
fof(f30,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(f1694,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f32,f1646]) ).
fof(f1646,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f1627,f1606]) ).
fof(f1627,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(superposition,[],[f1606,f122]) ).
fof(f122,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f35,f25]) ).
fof(f35,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
fof(f32,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(f2896,plain,
! [X0] : zero = meet(top,meet(zero,X0)),
inference(forward_demodulation,[],[f2895,f2546]) ).
fof(f2546,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f2386,f28]) ).
fof(f2386,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f2279,f26]) ).
fof(f2279,plain,
! [X0] : top = join(X0,join(X0,complement(X0))),
inference(superposition,[],[f67,f2127]) ).
fof(f2127,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f1705,f2085]) ).
fof(f67,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f34,f26]) ).
fof(f2895,plain,
! [X0] : zero = meet(join(top,complement(X0)),meet(zero,X0)),
inference(forward_demodulation,[],[f2894,f2101]) ).
fof(f2101,plain,
! [X0] : meet(X0,top) = X0,
inference(superposition,[],[f2085,f1231]) ).
fof(f1231,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(superposition,[],[f60,f1197]) ).
fof(f2894,plain,
! [X0] : zero = meet(join(meet(top,top),complement(X0)),meet(zero,X0)),
inference(forward_demodulation,[],[f2839,f1224]) ).
fof(f2839,plain,
! [X0] : zero = meet(join(meet(top,top),complement(X0)),meet(join(zero,zero),X0)),
inference(superposition,[],[f53,f77]) ).
fof(f77,plain,
meet(top,top) = complement(join(zero,zero)),
inference(superposition,[],[f57,f55]) ).
fof(f53,plain,
! [X0,X1] : zero = meet(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(superposition,[],[f27,f31]) ).
fof(f18747,plain,
meet(zero,sK1) = join(meet(composition(converse(sK0),sK2),sK1),meet(zero,sK1)),
inference(forward_demodulation,[],[f18746,f1737]) ).
fof(f18746,plain,
meet(sK1,zero) = join(meet(composition(converse(sK0),sK2),sK1),meet(sK1,zero)),
inference(forward_demodulation,[],[f18614,f17680]) ).
fof(f17680,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f17639,f17498]) ).
fof(f17498,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f17497,f17359]) ).
fof(f17359,plain,
zero = composition(top,complement(composition(top,top))),
inference(superposition,[],[f17297,f1118]) ).
fof(f1118,plain,
top = converse(top),
inference(forward_demodulation,[],[f1117,f374]) ).
fof(f374,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f343,f24]) ).
fof(f343,plain,
join(zero,top) = converse(converse(top)),
inference(superposition,[],[f272,f59]) ).
fof(f1117,plain,
join(zero,top) = converse(top),
inference(forward_demodulation,[],[f1110,f1088]) ).
fof(f1088,plain,
converse(top) = join(top,converse(top)),
inference(superposition,[],[f811,f142]) ).
fof(f142,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f40,f26]) ).
fof(f40,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f24]) ).
fof(f811,plain,
! [X0] : join(top,X0) = join(top,join(top,X0)),
inference(superposition,[],[f34,f799]) ).
fof(f1110,plain,
join(zero,top) = join(top,converse(top)),
inference(superposition,[],[f548,f1103]) ).
fof(f1103,plain,
top = join(converse(top),top),
inference(forward_demodulation,[],[f1100,f24]) ).
fof(f1100,plain,
converse(converse(top)) = join(converse(top),top),
inference(superposition,[],[f41,f1088]) ).
fof(f41,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f29,f24]) ).
fof(f548,plain,
! [X0] : join(top,X0) = join(zero,join(X0,top)),
inference(superposition,[],[f375,f34]) ).
fof(f17297,plain,
! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
inference(superposition,[],[f14195,f1224]) ).
fof(f14195,plain,
! [X0] : zero = join(composition(converse(X0),complement(composition(X0,top))),zero),
inference(forward_demodulation,[],[f14194,f5721]) ).
fof(f5721,plain,
top = join(complement(sK2),complement(composition(sK0,sK1))),
inference(superposition,[],[f4841,f3520]) ).
fof(f3520,plain,
sK2 = meet(sK2,complement(composition(sK0,sK1))),
inference(superposition,[],[f2681,f1224]) ).
fof(f2681,plain,
sK2 = join(meet(sK2,complement(composition(sK0,sK1))),zero),
inference(superposition,[],[f688,f1776]) ).
fof(f1776,plain,
zero = meet(sK2,composition(sK0,sK1)),
inference(superposition,[],[f1737,f22]) ).
fof(f22,plain,
zero = meet(composition(sK0,sK1),sK2),
inference(cnf_transformation,[],[f21]) ).
fof(f688,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f631,f31]) ).
fof(f4841,plain,
! [X0,X1] : top = join(complement(meet(X1,X0)),X0),
inference(superposition,[],[f4347,f1737]) ).
fof(f4347,plain,
! [X0,X1] : top = join(complement(meet(X0,X1)),X0),
inference(superposition,[],[f3398,f631]) ).
fof(f3398,plain,
! [X0,X1] : top = join(complement(X0),join(X0,X1)),
inference(forward_demodulation,[],[f3272,f2546]) ).
fof(f3272,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f62,f26]) ).
fof(f62,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(superposition,[],[f34,f28]) ).
fof(f14194,plain,
! [X0] : zero = join(composition(converse(X0),complement(composition(X0,join(complement(sK2),complement(composition(sK0,sK1)))))),zero),
inference(forward_demodulation,[],[f13959,f28]) ).
fof(f13959,plain,
! [X0] : zero = join(composition(converse(X0),complement(composition(X0,join(complement(composition(sK0,sK1)),complement(sK2))))),zero),
inference(superposition,[],[f319,f22]) ).
fof(f319,plain,
! [X2,X0,X1] : meet(X0,X1) = join(composition(converse(X2),complement(composition(X2,join(complement(X0),complement(X1))))),meet(X0,X1)),
inference(superposition,[],[f32,f31]) ).
fof(f17497,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f17496,f2386]) ).
fof(f17496,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f17495,f1197]) ).
fof(f17495,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(forward_demodulation,[],[f17469,f28]) ).
fof(f17469,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(superposition,[],[f36,f17359]) ).
fof(f36,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f17639,plain,
! [X0,X1] : zero = composition(X0,composition(X1,complement(composition(top,top)))),
inference(superposition,[],[f17498,f35]) ).
fof(f18614,plain,
meet(sK1,composition(converse(sK0),zero)) = join(meet(composition(converse(sK0),sK2),sK1),meet(sK1,composition(converse(sK0),zero))),
inference(superposition,[],[f18388,f1776]) ).
fof(f18388,plain,
! [X2,X0,X1] : meet(X2,composition(converse(X0),meet(X1,composition(X0,X2)))) = join(meet(composition(converse(X0),X1),X2),meet(X2,composition(converse(X0),meet(X1,composition(X0,X2))))),
inference(forward_demodulation,[],[f766,f1737]) ).
fof(f766,plain,
! [X2,X0,X1] : meet(composition(converse(X0),meet(X1,composition(X0,X2))),X2) = join(meet(composition(converse(X0),X1),X2),meet(composition(converse(X0),meet(X1,composition(X0,X2))),X2)),
inference(superposition,[],[f37,f24]) ).
fof(f37,plain,
! [X2,X0,X1] : meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2] : meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modular_law_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL010+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n024.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 : Tue Apr 30 00:20:06 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (16003)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (16006)WARNING: value z3 for option sas not known
% 0.14/0.37 % (16004)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (16005)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (16006)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)
% 0.14/0.37 % (16008)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)
% 0.14/0.37 % (16009)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)
% 0.14/0.37 % (16010)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)
% 0.14/0.37 % (16007)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.41 TRYING [3]
% 0.21/0.42 TRYING [3]
% 0.21/0.47 TRYING [4]
% 0.21/0.52 TRYING [4]
% 2.03/0.67 TRYING [5]
% 2.60/0.71 % (16006)First to succeed.
% 2.60/0.72 % (16006)Refutation found. Thanks to Tanya!
% 2.60/0.72 % SZS status Theorem for theBenchmark
% 2.60/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.60/0.72 % (16006)------------------------------
% 2.60/0.72 % (16006)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.60/0.72 % (16006)Termination reason: Refutation
% 2.60/0.72
% 2.60/0.72 % (16006)Memory used [KB]: 7161
% 2.60/0.72 % (16006)Time elapsed: 0.343 s
% 2.60/0.72 % (16006)Instructions burned: 1022 (million)
% 2.60/0.72 % (16006)------------------------------
% 2.60/0.72 % (16006)------------------------------
% 2.60/0.72 % (16003)Success in time 0.35 s
%------------------------------------------------------------------------------