TSTP Solution File: REL044+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL044+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 : n008.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 14:48:16 EDT 2024
% Result : Theorem 169.72s 24.58s
% Output : Refutation 169.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 17
% Syntax : Number of formulae : 296 ( 291 unt; 0 def)
% Number of atoms : 303 ( 302 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 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 : 384 ( 378 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1727477,plain,
$false,
inference(subsumption_resolution,[],[f1727476,f41]) ).
fof(f41,plain,
sK0 != join(sK0,composition(sK2,converse(sK1))),
inference(superposition,[],[f23,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(f23,plain,
sK0 != join(composition(sK2,converse(sK1)),sK0),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( sK0 != join(composition(sK2,converse(sK1)),sK0)
& complement(sK2) = join(composition(complement(sK0),sK1),complement(sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f19,f20]) ).
fof(f20,plain,
( ? [X0,X1,X2] :
( join(composition(X2,converse(X1)),X0) != X0
& complement(X2) = join(composition(complement(X0),X1),complement(X2)) )
=> ( sK0 != join(composition(sK2,converse(sK1)),sK0)
& complement(sK2) = join(composition(complement(sK0),sK1),complement(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1,X2] :
( join(composition(X2,converse(X1)),X0) != X0
& complement(X2) = join(composition(complement(X0),X1),complement(X2)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( complement(X2) = join(composition(complement(X0),X1),complement(X2))
=> join(composition(X2,converse(X1)),X0) = X0 ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( complement(X2) = join(composition(complement(X0),X1),complement(X2))
=> join(composition(X2,converse(X1)),X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f1727476,plain,
sK0 = join(sK0,composition(sK2,converse(sK1))),
inference(forward_demodulation,[],[f1727163,f5839]) ).
fof(f5839,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f3892,f3759]) ).
fof(f3759,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f3709,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(f3709,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f40,f26]) ).
fof(f26,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(f40,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(f3892,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f3891,f62]) ).
fof(f62,plain,
zero = complement(top),
inference(forward_demodulation,[],[f57,f26]) ).
fof(f57,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f31,f27]) ).
fof(f27,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(f3891,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(forward_demodulation,[],[f3865,f3888]) ).
fof(f3888,plain,
top = join(top,top),
inference(forward_demodulation,[],[f3887,f65]) ).
fof(f65,plain,
top = join(top,zero),
inference(superposition,[],[f27,f62]) ).
fof(f3887,plain,
join(top,zero) = join(top,top),
inference(forward_demodulation,[],[f3863,f1198]) ).
fof(f1198,plain,
! [X0] : join(top,X0) = join(zero,join(top,X0)),
inference(superposition,[],[f34,f291]) ).
fof(f291,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f264,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(f264,plain,
join(zero,top) = converse(converse(top)),
inference(superposition,[],[f244,f65]) ).
fof(f244,plain,
! [X0,X1] : join(X1,X0) = converse(converse(join(X0,X1))),
inference(forward_demodulation,[],[f243,f24]) ).
fof(f243,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = converse(converse(join(X1,X0))),
inference(forward_demodulation,[],[f209,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(f209,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = converse(join(converse(X1),converse(X0))),
inference(superposition,[],[f176,f29]) ).
fof(f176,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f49,f29]) ).
fof(f49,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f29,f28]) ).
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(f3863,plain,
join(top,zero) = join(zero,join(top,top)),
inference(superposition,[],[f2419,f3774]) ).
fof(f3774,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f3722,f1237]) ).
fof(f1237,plain,
join(top,top) = join(complement(zero),top),
inference(forward_demodulation,[],[f1235,f24]) ).
fof(f1235,plain,
join(complement(zero),top) = converse(converse(join(top,top))),
inference(superposition,[],[f244,f1225]) ).
fof(f1225,plain,
join(top,top) = join(top,complement(zero)),
inference(superposition,[],[f1197,f27]) ).
fof(f1197,plain,
! [X0] : join(top,X0) = join(top,join(zero,X0)),
inference(superposition,[],[f34,f65]) ).
fof(f3722,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f40,f96]) ).
fof(f96,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f87,f62]) ).
fof(f87,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f67,f27]) ).
fof(f67,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f63,f28]) ).
fof(f63,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f31,f62]) ).
fof(f2419,plain,
! [X0,X1] : join(top,X1) = join(join(X1,complement(X0)),X0),
inference(forward_demodulation,[],[f2397,f24]) ).
fof(f2397,plain,
! [X0,X1] : converse(converse(join(top,X1))) = join(join(X1,complement(X0)),X0),
inference(superposition,[],[f244,f1505]) ).
fof(f1505,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f1170,f28]) ).
fof(f1170,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f34,f27]) ).
fof(f3865,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,top)),X0)),
inference(superposition,[],[f34,f3774]) ).
fof(f1727163,plain,
join(sK0,composition(sK2,converse(sK1))) = join(zero,sK0),
inference(superposition,[],[f429351,f1726503]) ).
fof(f1726503,plain,
zero = meet(composition(sK2,converse(sK1)),complement(sK0)),
inference(superposition,[],[f1716970,f29306]) ).
fof(f29306,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X1,X0),zero),
inference(superposition,[],[f5176,f29106]) ).
fof(f29106,plain,
! [X0,X1] : meet(X0,X1) = meet(top,meet(X1,X0)),
inference(forward_demodulation,[],[f29105,f5911]) ).
fof(f5911,plain,
! [X0] : meet(X0,top) = X0,
inference(superposition,[],[f5839,f5184]) ).
fof(f5184,plain,
! [X0] : join(zero,meet(X0,top)) = X0,
inference(superposition,[],[f5067,f28]) ).
fof(f5067,plain,
! [X0] : join(meet(X0,top),zero) = X0,
inference(forward_demodulation,[],[f5041,f62]) ).
fof(f5041,plain,
! [X0] : join(meet(X0,top),complement(top)) = X0,
inference(superposition,[],[f40,f4890]) ).
fof(f4890,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f4875,f1977]) ).
fof(f1977,plain,
! [X0] : join(top,join(zero,X0)) = join(X0,top),
inference(superposition,[],[f1170,f1893]) ).
fof(f1893,plain,
! [X0] : top = join(complement(X0),join(zero,X0)),
inference(superposition,[],[f1743,f28]) ).
fof(f1743,plain,
! [X0] : top = join(complement(X0),join(X0,zero)),
inference(forward_demodulation,[],[f1665,f62]) ).
fof(f1665,plain,
! [X0] : top = join(complement(X0),join(X0,complement(top))),
inference(superposition,[],[f1202,f282]) ).
fof(f282,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[],[f253,f24]) ).
fof(f253,plain,
! [X0] : join(complement(X0),X0) = converse(converse(top)),
inference(superposition,[],[f244,f27]) ).
fof(f1202,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f34,f27]) ).
fof(f4875,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f4844,f65]) ).
fof(f4844,plain,
! [X0] : join(top,zero) = join(top,X0),
inference(superposition,[],[f3794,f317]) ).
fof(f317,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f310,f62]) ).
fof(f310,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f31,f282]) ).
fof(f3794,plain,
! [X0,X1] : join(top,X1) = join(top,meet(X0,X1)),
inference(forward_demodulation,[],[f3751,f1170]) ).
fof(f3751,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,meet(X0,X1)),
inference(superposition,[],[f2419,f40]) ).
fof(f29105,plain,
! [X0,X1] : meet(top,meet(X1,X0)) = meet(meet(X0,X1),top),
inference(forward_demodulation,[],[f28922,f64]) ).
fof(f64,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f31,f62]) ).
fof(f28922,plain,
! [X0,X1] : meet(meet(X0,X1),top) = complement(join(zero,complement(meet(X1,X0)))),
inference(superposition,[],[f67,f28776]) ).
fof(f28776,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X1,X0)),
inference(forward_demodulation,[],[f28775,f5839]) ).
fof(f28775,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(join(zero,meet(X1,X0))),
inference(forward_demodulation,[],[f28631,f5913]) ).
fof(f5913,plain,
! [X0] : meet(top,X0) = X0,
inference(superposition,[],[f5839,f5221]) ).
fof(f5221,plain,
! [X0] : join(zero,meet(top,X0)) = X0,
inference(superposition,[],[f5176,f28]) ).
fof(f28631,plain,
! [X0,X1] : complement(join(zero,meet(X1,X0))) = meet(top,complement(meet(X0,X1))),
inference(superposition,[],[f64,f28355]) ).
fof(f28355,plain,
! [X0,X1] : meet(X1,X0) = complement(complement(meet(X0,X1))),
inference(superposition,[],[f58,f4823]) ).
fof(f4823,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[],[f4822,f3765]) ).
fof(f3765,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f3716,f28]) ).
fof(f3716,plain,
! [X0] : complement(X0) = join(zero,complement(join(complement(complement(X0)),X0))),
inference(superposition,[],[f40,f317]) ).
fof(f4822,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f4821,f28]) ).
fof(f4821,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))),
inference(forward_demodulation,[],[f4820,f56]) ).
fof(f56,plain,
! [X2,X0,X1] : meet(X2,join(complement(X0),complement(X1))) = complement(join(complement(X2),meet(X0,X1))),
inference(superposition,[],[f31,f31]) ).
fof(f4820,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f4797,f710]) ).
fof(f710,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f58,f31]) ).
fof(f4797,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(superposition,[],[f4541,f31]) ).
fof(f4541,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(superposition,[],[f3793,f28]) ).
fof(f3793,plain,
! [X0] : join(meet(X0,complement(complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f3747,f62]) ).
fof(f3747,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f40,f27]) ).
fof(f58,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f31,f28]) ).
fof(f5176,plain,
! [X0] : join(meet(top,X0),zero) = X0,
inference(superposition,[],[f5067,f88]) ).
fof(f88,plain,
! [X0] : meet(X0,top) = meet(top,X0),
inference(superposition,[],[f67,f64]) ).
fof(f1716970,plain,
zero = join(meet(complement(sK0),composition(sK2,converse(sK1))),zero),
inference(forward_demodulation,[],[f1716969,f710]) ).
fof(f1716969,plain,
zero = join(meet(composition(sK2,converse(sK1)),complement(sK0)),zero),
inference(forward_demodulation,[],[f1716675,f258683]) ).
fof(f258683,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f258654,f258642]) ).
fof(f258642,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f258641,f258584]) ).
fof(f258584,plain,
zero = composition(top,complement(composition(top,top))),
inference(forward_demodulation,[],[f258543,f6507]) ).
fof(f6507,plain,
top = complement(converse(zero)),
inference(forward_demodulation,[],[f6482,f4903]) ).
fof(f4903,plain,
top = converse(top),
inference(superposition,[],[f4875,f102]) ).
fof(f102,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f47,f27]) ).
fof(f47,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f24]) ).
fof(f6482,plain,
converse(top) = complement(converse(zero)),
inference(superposition,[],[f24,f6031]) ).
fof(f6031,plain,
top = converse(complement(converse(zero))),
inference(forward_demodulation,[],[f5926,f4903]) ).
fof(f5926,plain,
converse(top) = converse(complement(converse(zero))),
inference(superposition,[],[f5839,f102]) ).
fof(f258543,plain,
zero = composition(top,complement(composition(complement(converse(zero)),top))),
inference(superposition,[],[f258227,f6031]) ).
fof(f258227,plain,
! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
inference(superposition,[],[f7098,f5898]) ).
fof(f5898,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f5897,f5839]) ).
fof(f5897,plain,
! [X0] : join(zero,X0) = join(join(zero,X0),zero),
inference(forward_demodulation,[],[f5884,f24]) ).
fof(f5884,plain,
! [X0] : join(join(zero,X0),zero) = converse(converse(join(zero,X0))),
inference(superposition,[],[f244,f3892]) ).
fof(f7098,plain,
! [X0] : zero = join(composition(converse(X0),complement(composition(X0,top))),zero),
inference(superposition,[],[f32,f62]) ).
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(f258641,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f258640,f4890]) ).
fof(f258640,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f258639,f5839]) ).
fof(f258639,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(forward_demodulation,[],[f258630,f28]) ).
fof(f258630,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(superposition,[],[f36,f258584]) ).
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(f258654,plain,
! [X0,X1] : zero = composition(X0,composition(X1,complement(composition(top,top)))),
inference(superposition,[],[f258642,f35]) ).
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(f1716675,plain,
composition(meet(sK2,composition(complement(sK0),converse(converse(sK1)))),zero) = join(meet(composition(sK2,converse(sK1)),complement(sK0)),composition(meet(sK2,composition(complement(sK0),converse(converse(sK1)))),zero)),
inference(superposition,[],[f39,f1716082]) ).
fof(f1716082,plain,
zero = meet(converse(sK1),composition(converse(sK2),complement(sK0))),
inference(forward_demodulation,[],[f1715792,f422130]) ).
fof(f422130,plain,
! [X0,X1] : composition(converse(X1),complement(X0)) = converse(composition(complement(converse(X0)),X1)),
inference(superposition,[],[f54,f421432]) ).
fof(f421432,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(forward_demodulation,[],[f421431,f5839]) ).
fof(f421431,plain,
! [X0] : complement(converse(X0)) = converse(join(zero,complement(X0))),
inference(forward_demodulation,[],[f420992,f5911]) ).
fof(f420992,plain,
! [X0] : converse(join(zero,complement(X0))) = complement(converse(meet(X0,top))),
inference(superposition,[],[f420824,f67]) ).
fof(f420824,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(forward_demodulation,[],[f420523,f419946]) ).
fof(f419946,plain,
! [X0] : converse(X0) = join(complement(converse(complement(X0))),converse(X0)),
inference(superposition,[],[f419798,f24]) ).
fof(f419798,plain,
! [X0] : join(complement(converse(complement(converse(X0)))),X0) = X0,
inference(forward_demodulation,[],[f419438,f24]) ).
fof(f419438,plain,
! [X0] : converse(converse(X0)) = join(complement(converse(complement(converse(X0)))),X0),
inference(superposition,[],[f244,f410050]) ).
fof(f410050,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f410049,f5839]) ).
fof(f410049,plain,
! [X0] : join(zero,X0) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f409473,f6032]) ).
fof(f6032,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f5941,f5913]) ).
fof(f5941,plain,
! [X0] : complement(complement(X0)) = meet(top,X0),
inference(superposition,[],[f64,f5839]) ).
fof(f409473,plain,
! [X0] : join(zero,complement(complement(X0))) = join(complement(complement(X0)),complement(converse(complement(converse(X0))))),
inference(superposition,[],[f221109,f150593]) ).
fof(f150593,plain,
! [X0] : zero = meet(complement(X0),complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f150592,f5839]) ).
fof(f150592,plain,
! [X0] : zero = meet(join(zero,complement(X0)),complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f150359,f5911]) ).
fof(f150359,plain,
! [X0] : zero = meet(join(zero,complement(X0)),complement(converse(complement(converse(meet(X0,top)))))),
inference(superposition,[],[f42984,f67]) ).
fof(f42984,plain,
! [X0] : zero = meet(X0,complement(converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[],[f42704,f62]) ).
fof(f42704,plain,
! [X0] : complement(top) = meet(X0,complement(converse(complement(converse(complement(X0)))))),
inference(superposition,[],[f6249,f19710]) ).
fof(f19710,plain,
! [X0] : top = join(X0,converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f19709,f4890]) ).
fof(f19709,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = join(X0,top),
inference(forward_demodulation,[],[f19410,f4903]) ).
fof(f19410,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = join(X0,converse(top)),
inference(superposition,[],[f18114,f283]) ).
fof(f283,plain,
! [X0] : converse(top) = join(converse(complement(converse(X0))),X0),
inference(forward_demodulation,[],[f256,f24]) ).
fof(f256,plain,
! [X0] : join(converse(complement(converse(X0))),X0) = converse(converse(converse(top))),
inference(superposition,[],[f244,f102]) ).
fof(f18114,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(superposition,[],[f13554,f34]) ).
fof(f13554,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(forward_demodulation,[],[f13486,f24]) ).
fof(f13486,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = join(join(X0,X1),X0),
inference(superposition,[],[f244,f7407]) ).
fof(f7407,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f34,f7367]) ).
fof(f7367,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f7120,f6032]) ).
fof(f7120,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f7119,f486]) ).
fof(f486,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f473,f479]) ).
fof(f479,plain,
one = converse(one),
inference(superposition,[],[f473,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(f473,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f452,f24]) ).
fof(f452,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f54,f25]) ).
fof(f7119,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(forward_demodulation,[],[f7080,f486]) ).
fof(f7080,plain,
! [X0] : complement(X0) = join(composition(one,complement(composition(one,X0))),complement(X0)),
inference(superposition,[],[f32,f479]) ).
fof(f6249,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = meet(X1,complement(X0)),
inference(superposition,[],[f31,f6032]) ).
fof(f221109,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(X0,X1),complement(X0)),
inference(forward_demodulation,[],[f221108,f20907]) ).
fof(f20907,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X1,X0),join(X2,X0)),
inference(superposition,[],[f14716,f13716]) ).
fof(f13716,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f13568,f28]) ).
fof(f13568,plain,
! [X0,X1] : join(meet(X1,X0),X0) = X0,
inference(superposition,[],[f13375,f710]) ).
fof(f13375,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f7407,f40]) ).
fof(f14716,plain,
! [X2,X0,X1] : meet(X2,join(X0,join(X1,X2))) = X2,
inference(superposition,[],[f14568,f34]) ).
fof(f14568,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f9034,f5898]) ).
fof(f9034,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),zero) = X0,
inference(forward_demodulation,[],[f9033,f6032]) ).
fof(f9033,plain,
! [X0,X1] : join(meet(X0,join(X1,complement(complement(X0)))),zero) = X0,
inference(forward_demodulation,[],[f8985,f62]) ).
fof(f8985,plain,
! [X0,X1] : join(meet(X0,join(X1,complement(complement(X0)))),complement(top)) = X0,
inference(superposition,[],[f40,f7771]) ).
fof(f7771,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f6318,f34]) ).
fof(f6318,plain,
! [X0,X1] : top = join(join(X0,X1),complement(X0)),
inference(forward_demodulation,[],[f6272,f4875]) ).
fof(f6272,plain,
! [X0,X1] : join(top,X1) = join(join(X0,X1),complement(X0)),
inference(superposition,[],[f1530,f6032]) ).
fof(f1530,plain,
! [X0,X1] : join(top,X1) = join(join(complement(X0),X1),X0),
inference(forward_demodulation,[],[f1515,f24]) ).
fof(f1515,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = converse(converse(join(top,X1))),
inference(superposition,[],[f244,f1170]) ).
fof(f221108,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(meet(X0,X1),join(complement(X0),X1)),complement(X0)),
inference(forward_demodulation,[],[f220319,f710]) ).
fof(f220319,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)),
inference(superposition,[],[f3739,f40]) ).
fof(f3739,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(X1,complement(X0)))) = X0,
inference(superposition,[],[f40,f28]) ).
fof(f420523,plain,
! [X0] : complement(converse(complement(X0))) = join(complement(converse(complement(X0))),converse(X0)),
inference(superposition,[],[f13767,f419851]) ).
fof(f419851,plain,
! [X0] : meet(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f419591,f6032]) ).
fof(f419591,plain,
! [X0] : complement(complement(X0)) = meet(X0,converse(complement(converse(complement(X0))))),
inference(superposition,[],[f31,f410050]) ).
fof(f13767,plain,
! [X0,X1] : join(X1,converse(meet(X0,converse(X1)))) = X1,
inference(forward_demodulation,[],[f13743,f24]) ).
fof(f13743,plain,
! [X0,X1] : converse(converse(X1)) = join(X1,converse(meet(X0,converse(X1)))),
inference(superposition,[],[f103,f13568]) ).
fof(f103,plain,
! [X0,X1] : join(X0,converse(X1)) = converse(join(X1,converse(X0))),
inference(superposition,[],[f47,f28]) ).
fof(f54,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(f1715792,plain,
zero = meet(converse(sK1),converse(composition(complement(converse(sK0)),sK2))),
inference(superposition,[],[f421073,f1715106]) ).
fof(f1715106,plain,
sK1 = meet(complement(composition(complement(converse(sK0)),sK2)),sK1),
inference(forward_demodulation,[],[f1715105,f5913]) ).
fof(f1715105,plain,
meet(complement(composition(complement(converse(sK0)),sK2)),sK1) = meet(top,sK1),
inference(forward_demodulation,[],[f1715104,f88]) ).
fof(f1715104,plain,
meet(complement(composition(complement(converse(sK0)),sK2)),sK1) = meet(sK1,top),
inference(forward_demodulation,[],[f1714852,f4626]) ).
fof(f4626,plain,
top = complement(zero),
inference(forward_demodulation,[],[f4625,f24]) ).
fof(f4625,plain,
complement(zero) = converse(converse(top)),
inference(forward_demodulation,[],[f4616,f3786]) ).
fof(f3786,plain,
complement(zero) = join(meet(top,complement(zero)),zero),
inference(forward_demodulation,[],[f3785,f88]) ).
fof(f3785,plain,
complement(zero) = join(meet(complement(zero),top),zero),
inference(forward_demodulation,[],[f3737,f62]) ).
fof(f3737,plain,
complement(zero) = join(meet(complement(zero),top),complement(top)),
inference(superposition,[],[f40,f1901]) ).
fof(f1901,plain,
top = join(complement(complement(zero)),top),
inference(superposition,[],[f1743,f282]) ).
fof(f4616,plain,
converse(converse(top)) = join(meet(top,complement(zero)),zero),
inference(superposition,[],[f244,f4574]) ).
fof(f4574,plain,
top = join(zero,meet(top,complement(zero))),
inference(superposition,[],[f4540,f28]) ).
fof(f4540,plain,
top = join(meet(top,complement(zero)),zero),
inference(superposition,[],[f3793,f62]) ).
fof(f1714852,plain,
meet(sK1,complement(zero)) = meet(complement(composition(complement(converse(sK0)),sK2)),sK1),
inference(superposition,[],[f252795,f1714109]) ).
fof(f1714109,plain,
zero = meet(composition(complement(converse(sK0)),sK2),sK1),
inference(superposition,[],[f1713639,f29306]) ).
fof(f1713639,plain,
zero = join(meet(sK1,composition(complement(converse(sK0)),sK2)),zero),
inference(forward_demodulation,[],[f1713638,f421432]) ).
fof(f1713638,plain,
zero = join(meet(sK1,composition(converse(complement(sK0)),sK2)),zero),
inference(forward_demodulation,[],[f1713637,f54]) ).
fof(f1713637,plain,
zero = join(meet(sK1,converse(composition(converse(sK2),complement(sK0)))),zero),
inference(forward_demodulation,[],[f1713636,f6032]) ).
fof(f1713636,plain,
zero = join(meet(sK1,converse(composition(complement(complement(converse(sK2))),complement(sK0)))),zero),
inference(forward_demodulation,[],[f1713635,f422118]) ).
fof(f422118,plain,
! [X0,X1] : converse(composition(complement(X0),X1)) = composition(converse(X1),complement(converse(X0))),
inference(superposition,[],[f30,f421432]) ).
fof(f1713635,plain,
zero = join(meet(sK1,composition(converse(complement(sK0)),complement(converse(complement(converse(sK2)))))),zero),
inference(forward_demodulation,[],[f1713634,f710]) ).
fof(f1713634,plain,
zero = join(meet(composition(converse(complement(sK0)),complement(converse(complement(converse(sK2))))),sK1),zero),
inference(forward_demodulation,[],[f1713633,f8373]) ).
fof(f8373,plain,
! [X0] : zero = meet(X0,zero),
inference(superposition,[],[f8323,f710]) ).
fof(f8323,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[],[f8286,f6619]) ).
fof(f6619,plain,
zero = converse(zero),
inference(forward_demodulation,[],[f6618,f62]) ).
fof(f6618,plain,
complement(top) = converse(zero),
inference(forward_demodulation,[],[f6617,f291]) ).
fof(f6617,plain,
converse(zero) = complement(join(zero,top)),
inference(forward_demodulation,[],[f6565,f5911]) ).
fof(f6565,plain,
complement(join(zero,top)) = meet(converse(zero),top),
inference(superposition,[],[f67,f6507]) ).
fof(f8286,plain,
! [X0] : converse(zero) = meet(zero,X0),
inference(superposition,[],[f6610,f5898]) ).
fof(f6610,plain,
! [X0] : converse(zero) = join(meet(zero,X0),zero),
inference(forward_demodulation,[],[f6609,f6605]) ).
fof(f6605,plain,
! [X0] : meet(zero,X0) = meet(converse(zero),X0),
inference(forward_demodulation,[],[f6559,f4644]) ).
fof(f4644,plain,
! [X0] : complement(join(top,complement(X0))) = meet(zero,X0),
inference(superposition,[],[f31,f4626]) ).
fof(f6559,plain,
! [X0] : complement(join(top,complement(X0))) = meet(converse(zero),X0),
inference(superposition,[],[f31,f6507]) ).
fof(f6609,plain,
! [X0] : converse(zero) = join(meet(converse(zero),X0),zero),
inference(forward_demodulation,[],[f6608,f62]) ).
fof(f6608,plain,
! [X0] : converse(zero) = join(meet(converse(zero),X0),complement(top)),
inference(forward_demodulation,[],[f6561,f4875]) ).
fof(f6561,plain,
! [X0] : converse(zero) = join(meet(converse(zero),X0),complement(join(top,X0))),
inference(superposition,[],[f40,f6507]) ).
fof(f1713633,plain,
meet(sK1,zero) = join(meet(composition(converse(complement(sK0)),complement(converse(complement(converse(sK2))))),sK1),meet(sK1,zero)),
inference(forward_demodulation,[],[f1712698,f258683]) ).
fof(f1712698,plain,
meet(sK1,composition(converse(complement(sK0)),zero)) = join(meet(composition(converse(complement(sK0)),complement(converse(complement(converse(sK2))))),sK1),meet(sK1,composition(converse(complement(sK0)),zero))),
inference(superposition,[],[f24539,f211351]) ).
fof(f211351,plain,
zero = meet(complement(converse(complement(converse(sK2)))),composition(complement(sK0),sK1)),
inference(forward_demodulation,[],[f211223,f62]) ).
fof(f211223,plain,
complement(top) = meet(complement(converse(complement(converse(sK2)))),composition(complement(sK0),sK1)),
inference(superposition,[],[f6248,f121070]) ).
fof(f121070,plain,
top = join(converse(complement(converse(sK2))),complement(composition(complement(sK0),sK1))),
inference(superposition,[],[f67191,f42316]) ).
fof(f42316,plain,
sK2 = meet(complement(composition(complement(sK0),sK1)),sK2),
inference(forward_demodulation,[],[f42042,f6032]) ).
fof(f42042,plain,
complement(complement(sK2)) = meet(complement(composition(complement(sK0),sK1)),sK2),
inference(superposition,[],[f6248,f22]) ).
fof(f22,plain,
complement(sK2) = join(composition(complement(sK0),sK1),complement(sK2)),
inference(cnf_transformation,[],[f21]) ).
fof(f67191,plain,
! [X0,X1] : top = join(converse(complement(converse(meet(X0,X1)))),X0),
inference(superposition,[],[f52754,f13612]) ).
fof(f13612,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f13375,f28]) ).
fof(f52754,plain,
! [X0,X1] : top = join(converse(complement(converse(X1))),join(X0,X1)),
inference(forward_demodulation,[],[f52340,f4903]) ).
fof(f52340,plain,
! [X0,X1] : converse(top) = join(converse(complement(converse(X1))),join(X0,X1)),
inference(superposition,[],[f145,f7705]) ).
fof(f7705,plain,
! [X0,X1] : top = join(converse(join(X1,X0)),complement(converse(X0))),
inference(superposition,[],[f6318,f49]) ).
fof(f145,plain,
! [X0,X1] : join(converse(X0),X1) = converse(join(converse(X1),X0)),
inference(superposition,[],[f48,f28]) ).
fof(f48,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f29,f24]) ).
fof(f6248,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(superposition,[],[f31,f6032]) ).
fof(f24539,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,[],[f24394,f710]) ).
fof(f24394,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) ).
fof(f252795,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(X1,complement(meet(X0,X1))),
inference(forward_demodulation,[],[f252794,f29306]) ).
fof(f252794,plain,
! [X0,X1] : join(meet(X1,complement(X0)),zero) = meet(X1,complement(meet(X0,X1))),
inference(forward_demodulation,[],[f252793,f13612]) ).
fof(f252793,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = join(meet(X1,complement(join(X0,meet(X0,X1)))),zero),
inference(forward_demodulation,[],[f252792,f710]) ).
fof(f252792,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = join(meet(complement(join(X0,meet(X0,X1))),X1),zero),
inference(forward_demodulation,[],[f252791,f42022]) ).
fof(f42022,plain,
! [X2,X0,X1] : complement(join(X0,join(X1,complement(X2)))) = meet(complement(join(X0,X1)),X2),
inference(superposition,[],[f6248,f34]) ).
fof(f252791,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = join(complement(join(X0,join(meet(X0,X1),complement(X1)))),zero),
inference(forward_demodulation,[],[f252790,f41982]) ).
fof(f41982,plain,
! [X2,X0,X1] : meet(complement(X2),meet(X0,complement(X1))) = complement(join(X2,join(X1,complement(X0)))),
inference(superposition,[],[f6248,f32084]) ).
fof(f32084,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(X1,complement(X0))),
inference(superposition,[],[f28429,f710]) ).
fof(f28429,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(forward_demodulation,[],[f28428,f5911]) ).
fof(f28428,plain,
! [X0,X1] : join(meet(X0,top),complement(X1)) = complement(meet(complement(X0),X1)),
inference(forward_demodulation,[],[f28315,f5839]) ).
fof(f28315,plain,
! [X0,X1] : join(meet(X0,top),complement(X1)) = complement(meet(join(zero,complement(X0)),X1)),
inference(superposition,[],[f4823,f67]) ).
fof(f252790,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = join(meet(complement(X0),meet(X1,complement(meet(X0,X1)))),zero),
inference(forward_demodulation,[],[f252180,f710]) ).
fof(f252180,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = join(meet(meet(X1,complement(meet(X0,X1))),complement(X0)),zero),
inference(superposition,[],[f3749,f251746]) ).
fof(f251746,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f251745,f62]) ).
fof(f251745,plain,
! [X0,X1] : complement(top) = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f251114,f28626]) ).
fof(f28626,plain,
! [X2,X0,X1] : complement(join(complement(X2),meet(X1,X0))) = meet(X2,complement(meet(X0,X1))),
inference(superposition,[],[f31,f28355]) ).
fof(f251114,plain,
! [X0,X1] : complement(top) = meet(X0,complement(join(complement(X1),meet(X1,X0)))),
inference(superposition,[],[f6249,f1705]) ).
fof(f1705,plain,
! [X0,X1] : top = join(complement(X0),join(complement(X1),meet(X1,X0))),
inference(superposition,[],[f1202,f58]) ).
fof(f3749,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X1,X0)) = X0,
inference(superposition,[],[f40,f58]) ).
fof(f421073,plain,
! [X0,X1] : zero = meet(converse(meet(complement(X0),X1)),converse(X0)),
inference(superposition,[],[f109940,f420824]) ).
fof(f109940,plain,
! [X0,X1] : zero = meet(converse(meet(X0,X1)),complement(converse(X0))),
inference(superposition,[],[f14887,f18713]) ).
fof(f18713,plain,
! [X0,X1] : converse(X0) = join(converse(X0),converse(meet(X0,X1))),
inference(superposition,[],[f13662,f24]) ).
fof(f13662,plain,
! [X0,X1] : join(X0,converse(meet(converse(X0),X1))) = X0,
inference(forward_demodulation,[],[f13639,f24]) ).
fof(f13639,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(converse(X0),X1))),
inference(superposition,[],[f103,f13375]) ).
fof(f14887,plain,
! [X0,X1] : zero = meet(X0,complement(join(X1,X0))),
inference(superposition,[],[f10543,f14568]) ).
fof(f10543,plain,
! [X0,X1] : zero = meet(meet(X1,X0),complement(X0)),
inference(forward_demodulation,[],[f10542,f5911]) ).
fof(f10542,plain,
! [X0,X1] : zero = meet(meet(X1,meet(X0,top)),complement(X0)),
inference(forward_demodulation,[],[f10488,f5839]) ).
fof(f10488,plain,
! [X0,X1] : zero = meet(meet(X1,meet(X0,top)),join(zero,complement(X0))),
inference(superposition,[],[f10040,f67]) ).
fof(f10040,plain,
! [X0,X1] : zero = meet(meet(X1,complement(X0)),X0),
inference(forward_demodulation,[],[f9981,f62]) ).
fof(f9981,plain,
! [X0,X1] : complement(top) = meet(meet(X1,complement(X0)),X0),
inference(superposition,[],[f58,f8776]) ).
fof(f8776,plain,
! [X0,X1] : top = join(X0,complement(meet(X1,X0))),
inference(superposition,[],[f7683,f710]) ).
fof(f7683,plain,
! [X0,X1] : top = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f6318,f40]) ).
fof(f39,plain,
! [X2,X0,X1] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dedekind_law) ).
fof(f429351,plain,
! [X0,X1] : join(X0,X1) = join(meet(X1,complement(X0)),X0),
inference(superposition,[],[f410463,f710]) ).
fof(f410463,plain,
! [X0,X1] : join(X0,X1) = join(meet(complement(X0),X1),X0),
inference(forward_demodulation,[],[f410462,f5839]) ).
fof(f410462,plain,
! [X0,X1] : join(X0,X1) = join(meet(join(zero,complement(X0)),X1),X0),
inference(forward_demodulation,[],[f409741,f5911]) ).
fof(f409741,plain,
! [X0,X1] : join(meet(X0,top),X1) = join(meet(join(zero,complement(X0)),X1),meet(X0,top)),
inference(superposition,[],[f221109,f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : REL044+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 00:20:27 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (31582)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (31585)WARNING: value z3 for option sas not known
% 0.15/0.37 % (31586)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (31583)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (31584)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (31588)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)
% 0.15/0.37 % (31589)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)
% 0.15/0.37 % (31587)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)
% 0.15/0.37 % (31585)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.21/0.40 TRYING [3]
% 0.21/0.42 TRYING [3]
% 0.21/0.47 TRYING [4]
% 0.21/0.53 TRYING [4]
% 2.02/0.65 TRYING [5]
% 6.23/1.30 TRYING [6]
% 7.31/1.47 TRYING [1]
% 7.96/1.47 TRYING [2]
% 7.96/1.48 TRYING [3]
% 8.08/1.51 TRYING [4]
% 9.52/1.73 TRYING [5]
% 11.60/2.01 TRYING [5]
% 15.17/2.51 TRYING [6]
% 23.06/3.65 TRYING [7]
% 35.65/5.50 TRYING [7]
% 79.95/11.76 TRYING [8]
% 114.17/16.65 TRYING [8]
% 169.72/24.53 % (31589)First to succeed.
% 169.72/24.58 % (31589)Refutation found. Thanks to Tanya!
% 169.72/24.58 % SZS status Theorem for theBenchmark
% 169.72/24.58 % SZS output start Proof for theBenchmark
% See solution above
% 169.72/24.58 % (31589)------------------------------
% 169.72/24.58 % (31589)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 169.72/24.58 % (31589)Termination reason: Refutation
% 169.72/24.58
% 169.72/24.58 % (31589)Memory used [KB]: 373289
% 169.72/24.58 % (31589)Time elapsed: 24.179 s
% 169.72/24.58 % (31589)Instructions burned: 82817 (million)
% 169.72/24.58 % (31589)------------------------------
% 169.72/24.58 % (31589)------------------------------
% 169.72/24.58 % (31582)Success in time 23.836 s
%------------------------------------------------------------------------------