TSTP Solution File: REL005-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL005-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 : Wed May 31 12:32:13 EDT 2023
% Result : Unsatisfiable 34.55s 4.89s
% Output : CNFRefutation 36.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 12
% Syntax : Number of formulae : 191 ( 191 unt; 0 def)
% Number of atoms : 191 ( 190 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 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 : 326 (; 326 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : top = join(A,complement(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : zero = meet(A,complement(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
converse(meet(sk1,sk2)) != meet(converse(sk1),converse(sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f20,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f27,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f28,plain,
converse(meet(sk1,sk2)) != meet(converse(sk1),converse(sk2)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f29,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f15,f17]) ).
fof(f30,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f15,f25]) ).
fof(f31,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f18,f29]) ).
fof(f32,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f15,f31]) ).
fof(f33,plain,
! [X0,X1,X2] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f34,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),complement(X2))) = complement(join(complement(X0),meet(X1,X2))),
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f35,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f22,f23]) ).
fof(f36,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f22,f23]) ).
fof(f38,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f22,f24]) ).
fof(f39,plain,
! [X0,X1,X2] : join(meet(X0,X1),composition(converse(X2),complement(composition(X2,join(complement(X0),complement(X1)))))) = complement(join(complement(X0),complement(X1))),
inference(paramodulation,[status(thm)],[f18,f30]) ).
fof(f40,plain,
! [X0,X1,X2] : join(meet(X0,X1),composition(converse(X2),complement(composition(X2,join(complement(X0),complement(X1)))))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f39]) ).
fof(f41,plain,
! [X0,X1] : join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
inference(paramodulation,[status(thm)],[f22,f30]) ).
fof(f101,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f18,f32]) ).
fof(f102,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f15,f101]) ).
fof(f105,plain,
! [X0,X1,X2] : join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X2),complement(join(meet(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f18,f32]) ).
fof(f106,plain,
! [X0,X1,X2] : join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X2)),meet(join(complement(X0),complement(X1)),X2)),
inference(forward_demodulation,[status(thm)],[f15,f105]) ).
fof(f107,plain,
! [X0,X1,X2] : join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X2)),complement(join(meet(X0,X1),complement(X2)))),
inference(forward_demodulation,[status(thm)],[f33,f106]) ).
fof(f247,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f20,f38]) ).
fof(f248,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f22,f247]) ).
fof(f253,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f26,f35]) ).
fof(f260,plain,
! [X0,X1] : meet(X0,top) = complement(join(complement(X0),meet(X1,complement(X1)))),
inference(paramodulation,[status(thm)],[f26,f34]) ).
fof(f261,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(forward_demodulation,[status(thm)],[f27,f260]) ).
fof(f262,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f15,f261]) ).
fof(f266,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f26,f18]) ).
fof(f267,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f27,f266]) ).
fof(f328,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f20,f248]) ).
fof(f331,plain,
! [X0,X1] : join(meet(X0,X1),complement(composition(one,join(complement(X0),complement(X1))))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f248,f40]) ).
fof(f334,plain,
! [X0] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f248,f41]) ).
fof(f354,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f328,f248]) ).
fof(f355,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),complement(X1)))) = meet(X0,X1),
inference(backward_demodulation,[status(thm)],[f354,f331]) ).
fof(f356,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f355]) ).
fof(f358,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f354,f334]) ).
fof(f414,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(paramodulation,[status(thm)],[f23,f15]) ).
fof(f415,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f23,f414]) ).
fof(f424,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),complement(X2))) = complement(join(complement(X0),meet(X2,X1))),
inference(paramodulation,[status(thm)],[f15,f34]) ).
fof(f425,plain,
! [X0,X1,X2] : complement(join(complement(X0),meet(X1,X2))) = complement(join(complement(X0),meet(X2,X1))),
inference(forward_demodulation,[status(thm)],[f34,f424]) ).
fof(f428,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f15,f18]) ).
fof(f429,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f18,f428]) ).
fof(f430,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f15,f32]) ).
fof(f478,plain,
join(zero,complement(top)) = complement(top),
inference(paramodulation,[status(thm)],[f267,f358]) ).
fof(f479,plain,
join(zero,zero) = complement(top),
inference(forward_demodulation,[status(thm)],[f267,f478]) ).
fof(f480,plain,
join(zero,zero) = zero,
inference(forward_demodulation,[status(thm)],[f267,f479]) ).
fof(f497,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f358,f32]) ).
fof(f498,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f15,f497]) ).
fof(f499,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f27,f498]) ).
fof(f500,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f15,f499]) ).
fof(f576,plain,
! [X0] : X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(converse(top))),
inference(paramodulation,[status(thm)],[f253,f32]) ).
fof(f577,plain,
! [X0] : X0 = join(complement(converse(top)),meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f15,f576]) ).
fof(f591,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(paramodulation,[status(thm)],[f32,f16]) ).
fof(f677,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f429,f356]) ).
fof(f785,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(top),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(paramodulation,[status(thm)],[f26,f107]) ).
fof(f786,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(forward_demodulation,[status(thm)],[f267,f785]) ).
fof(f879,plain,
! [X0] : join(zero,join(zero,X0)) = join(zero,X0),
inference(paramodulation,[status(thm)],[f480,f16]) ).
fof(f880,plain,
! [X0] : join(zero,X0) = join(zero,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f500,f879]) ).
fof(f881,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[status(thm)],[f500,f880]) ).
fof(f894,plain,
! [X0] : X0 = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f881,f500]) ).
fof(f902,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(backward_demodulation,[status(thm)],[f881,f786]) ).
fof(f903,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f894,f902]) ).
fof(f904,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f356,f903]) ).
fof(f918,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f881,f262]) ).
fof(f919,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f894,f918]) ).
fof(f951,plain,
! [X0,X1,X2] : meet(X0,complement(meet(X1,X2))) = complement(join(complement(X0),meet(X1,X2))),
inference(backward_demodulation,[status(thm)],[f904,f34]) ).
fof(f1006,plain,
! [X0,X1,X2] : complement(join(complement(X0),meet(X1,X2))) = meet(X0,complement(meet(X2,X1))),
inference(backward_demodulation,[status(thm)],[f951,f425]) ).
fof(f1007,plain,
! [X0,X1,X2] : meet(X0,complement(meet(X1,X2))) = meet(X0,complement(meet(X2,X1))),
inference(forward_demodulation,[status(thm)],[f951,f1006]) ).
fof(f1051,plain,
! [X0] : meet(top,X0) = X0,
inference(paramodulation,[status(thm)],[f429,f919]) ).
fof(f1053,plain,
! [X0] : join(meet(top,X0),X0) = meet(X0,top),
inference(paramodulation,[status(thm)],[f919,f677]) ).
fof(f1054,plain,
! [X0] : join(X0,meet(top,X0)) = meet(X0,top),
inference(forward_demodulation,[status(thm)],[f15,f1053]) ).
fof(f1055,plain,
! [X0] : join(X0,X0) = meet(X0,top),
inference(forward_demodulation,[status(thm)],[f1051,f1054]) ).
fof(f1056,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f919,f1055]) ).
fof(f1096,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f1056,f16]) ).
fof(f1233,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f894,f904]) ).
fof(f1276,plain,
! [X0,X1] : join(meet(X0,X1),X0) = join(meet(X0,X1),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f102,f1096]) ).
fof(f1277,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f15,f1276]) ).
fof(f1278,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f102,f1277]) ).
fof(f1304,plain,
! [X0] : join(X0,top) = join(X0,complement(X0)),
inference(paramodulation,[status(thm)],[f26,f1096]) ).
fof(f1305,plain,
! [X0] : join(X0,top) = top,
inference(forward_demodulation,[status(thm)],[f26,f1304]) ).
fof(f1306,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f15,f1096]) ).
fof(f1322,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f15,f1305]) ).
fof(f1367,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f253,f1322]) ).
fof(f1393,plain,
! [X0] : X0 = join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),
inference(backward_demodulation,[status(thm)],[f1367,f577]) ).
fof(f1394,plain,
! [X0] : X0 = join(zero,meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f267,f1393]) ).
fof(f1395,plain,
! [X0] : X0 = meet(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f881,f1394]) ).
fof(f1439,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f429,f1278]) ).
fof(f1443,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(converse(X0),X1))),
inference(paramodulation,[status(thm)],[f1278,f35]) ).
fof(f1444,plain,
! [X0,X1] : X0 = join(X0,converse(meet(converse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f22,f1443]) ).
fof(f1475,plain,
! [X0] : complement(X0) = meet(complement(X0),converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f894,f1395]) ).
fof(f1562,plain,
! [X0] : complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))),
inference(paramodulation,[status(thm)],[f22,f1475]) ).
fof(f1563,plain,
! [X0] : join(converse(complement(converse(X0))),complement(X0)) = converse(complement(converse(X0))),
inference(paramodulation,[status(thm)],[f1475,f1439]) ).
fof(f1564,plain,
! [X0] : join(complement(X0),converse(complement(converse(X0)))) = converse(complement(converse(X0))),
inference(forward_demodulation,[status(thm)],[f15,f1563]) ).
fof(f1734,plain,
! [X0,X1] : converse(meet(X0,X1)) = converse(join(meet(X0,X1),meet(X1,X0))),
inference(paramodulation,[status(thm)],[f677,f415]) ).
fof(f1735,plain,
! [X0,X1] : converse(meet(X0,X1)) = converse(meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f677,f1734]) ).
fof(f1856,plain,
! [X0,X1] : X0 = join(meet(X1,X0),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f429,f430]) ).
fof(f2200,plain,
! [X0] : join(converse(complement(X0)),complement(converse(X0))) = converse(complement(X0)),
inference(paramodulation,[status(thm)],[f1562,f1439]) ).
fof(f2201,plain,
! [X0] : join(complement(converse(X0)),converse(complement(X0))) = converse(complement(X0)),
inference(forward_demodulation,[status(thm)],[f15,f2200]) ).
fof(f2238,plain,
! [X0,X1] : join(X0,join(complement(join(complement(top),X0)),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f1051,f591]) ).
fof(f2239,plain,
! [X0,X1] : join(X0,join(complement(join(zero,X0)),X1)) = join(top,X1),
inference(forward_demodulation,[status(thm)],[f267,f2238]) ).
fof(f2240,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(forward_demodulation,[status(thm)],[f881,f2239]) ).
fof(f2241,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = top,
inference(forward_demodulation,[status(thm)],[f1322,f2240]) ).
fof(f2380,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = top,
inference(paramodulation,[status(thm)],[f15,f2241]) ).
fof(f2401,plain,
! [X0,X1] : X0 = join(meet(X0,join(complement(complement(X0)),X1)),complement(top)),
inference(paramodulation,[status(thm)],[f2241,f32]) ).
fof(f2402,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f15,f2401]) ).
fof(f2403,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f267,f2402]) ).
fof(f2404,plain,
! [X0,X1] : X0 = meet(X0,join(complement(complement(X0)),X1)),
inference(forward_demodulation,[status(thm)],[f881,f2403]) ).
fof(f2405,plain,
! [X0,X1] : X0 = meet(X0,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f894,f2404]) ).
fof(f2458,plain,
! [X0,X1] : X0 = join(meet(X0,join(X1,complement(complement(X0)))),complement(top)),
inference(paramodulation,[status(thm)],[f2380,f32]) ).
fof(f2459,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(X1,complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f15,f2458]) ).
fof(f2460,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X1,complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f267,f2459]) ).
fof(f2461,plain,
! [X0,X1] : X0 = meet(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f881,f2460]) ).
fof(f2462,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f894,f2461]) ).
fof(f2481,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(meet(X0,X1),join(X0,X2)),
inference(paramodulation,[status(thm)],[f591,f2405]) ).
fof(f2618,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(join(X0,complement(X1))),X1),
inference(paramodulation,[status(thm)],[f430,f2462]) ).
fof(f2619,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(X1,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[status(thm)],[f429,f2618]) ).
fof(f2632,plain,
! [X0,X1] : converse(meet(converse(X0),X1)) = meet(converse(meet(converse(X0),X1)),X0),
inference(paramodulation,[status(thm)],[f1444,f2462]) ).
fof(f2633,plain,
! [X0,X1] : converse(meet(converse(X0),X1)) = meet(X0,converse(meet(converse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f429,f2632]) ).
fof(f3649,plain,
! [X0,X1] : join(X0,complement(X1)) = join(meet(meet(X0,X1),join(X0,complement(X1))),complement(X1)),
inference(paramodulation,[status(thm)],[f1856,f1856]) ).
fof(f3650,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(X1),meet(meet(X0,X1),join(X0,complement(X1)))),
inference(forward_demodulation,[status(thm)],[f15,f3649]) ).
fof(f3651,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(X1),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f2481,f3650]) ).
fof(f3711,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(X1,meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f894,f3651]) ).
fof(f3712,plain,
! [X0,X1] : join(X0,X1) = join(X1,meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f894,f3711]) ).
fof(f3767,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(X1),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f429,f3651]) ).
fof(f3805,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(X1,meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f894,f3767]) ).
fof(f3806,plain,
! [X0,X1] : join(X0,X1) = join(X1,meet(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f894,f3805]) ).
fof(f4253,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(X1,converse(meet(X0,complement(converse(X1))))),
inference(paramodulation,[status(thm)],[f3712,f35]) ).
fof(f4254,plain,
! [X0,X1] : join(converse(X0),X1) = join(X1,converse(meet(X0,complement(converse(X1))))),
inference(forward_demodulation,[status(thm)],[f36,f4253]) ).
fof(f9009,plain,
! [X0,X1] : meet(X0,complement(meet(top,X1))) = complement(join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f1051,f951]) ).
fof(f9010,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f1051,f9009]) ).
fof(f9252,plain,
! [X0,X1] : meet(X0,complement(join(X1,complement(X0)))) = complement(join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f1306,f9010]) ).
fof(f9253,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = complement(join(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f2619,f9252]) ).
fof(f9254,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(X1,complement(X0)),
inference(forward_demodulation,[status(thm)],[f9010,f9253]) ).
fof(f9273,plain,
! [X0,X1] : meet(complement(X0),complement(X1)) = complement(join(X0,X1)),
inference(paramodulation,[status(thm)],[f894,f9010]) ).
fof(f9855,plain,
! [X0] : converse(converse(complement(converse(X0)))) = join(converse(complement(X0)),complement(converse(X0))),
inference(paramodulation,[status(thm)],[f1564,f36]) ).
fof(f9856,plain,
! [X0] : complement(converse(X0)) = join(converse(complement(X0)),complement(converse(X0))),
inference(forward_demodulation,[status(thm)],[f22,f9855]) ).
fof(f9857,plain,
! [X0] : complement(converse(X0)) = join(complement(converse(X0)),converse(complement(X0))),
inference(forward_demodulation,[status(thm)],[f15,f9856]) ).
fof(f9858,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(forward_demodulation,[status(thm)],[f2201,f9857]) ).
fof(f10439,plain,
! [X0,X1] : converse(meet(converse(X0),X1)) = meet(X0,converse(meet(X1,converse(X0)))),
inference(paramodulation,[status(thm)],[f1735,f2633]) ).
fof(f10993,plain,
! [X0,X1] : join(converse(X0),complement(X1)) = join(complement(X1),converse(meet(X0,complement(complement(converse(X1)))))),
inference(paramodulation,[status(thm)],[f9858,f4254]) ).
fof(f10994,plain,
! [X0,X1] : join(converse(X0),complement(X1)) = join(complement(X1),converse(meet(X0,converse(X1)))),
inference(forward_demodulation,[status(thm)],[f894,f10993]) ).
fof(f11647,plain,
! [X0,X1] : join(converse(meet(X0,converse(X1))),complement(X1)) = join(complement(X1),converse(meet(converse(X1),X0))),
inference(paramodulation,[status(thm)],[f10439,f3767]) ).
fof(f11648,plain,
! [X0,X1] : join(complement(X0),converse(meet(X1,converse(X0)))) = join(complement(X0),converse(meet(converse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f15,f11647]) ).
fof(f11649,plain,
! [X0,X1] : join(converse(X0),complement(X1)) = join(complement(X1),converse(meet(converse(X1),X0))),
inference(forward_demodulation,[status(thm)],[f10994,f11648]) ).
fof(f23295,plain,
! [X0,X1] : meet(X0,complement(meet(complement(complement(X0)),X1))) = complement(join(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f3806,f9010]) ).
fof(f23296,plain,
! [X0,X1] : meet(X0,join(complement(X0),complement(X1))) = complement(join(X1,complement(X0))),
inference(forward_demodulation,[status(thm)],[f1233,f23295]) ).
fof(f23297,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = complement(join(X1,complement(X0))),
inference(forward_demodulation,[status(thm)],[f904,f23296]) ).
fof(f23298,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,complement(X1)),
inference(forward_demodulation,[status(thm)],[f9254,f23297]) ).
fof(f23392,plain,
! [X0,X1] : meet(X0,complement(meet(X1,X0))) = meet(X0,complement(X1)),
inference(paramodulation,[status(thm)],[f1007,f23298]) ).
fof(f23434,plain,
! [X0,X1] : meet(complement(X0),complement(complement(join(X0,X1)))) = meet(complement(X0),complement(complement(X1))),
inference(paramodulation,[status(thm)],[f9273,f23298]) ).
fof(f23435,plain,
! [X0,X1] : complement(join(X0,complement(join(X0,X1)))) = meet(complement(X0),complement(complement(X1))),
inference(forward_demodulation,[status(thm)],[f9273,f23434]) ).
fof(f23436,plain,
! [X0,X1] : meet(join(X0,X1),complement(X0)) = meet(complement(X0),complement(complement(X1))),
inference(forward_demodulation,[status(thm)],[f9254,f23435]) ).
fof(f23437,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(complement(X0),complement(complement(X1))),
inference(forward_demodulation,[status(thm)],[f429,f23436]) ).
fof(f23438,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = complement(join(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f9273,f23437]) ).
fof(f23439,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(X1,complement(X0)),
inference(forward_demodulation,[status(thm)],[f9254,f23438]) ).
fof(f23798,plain,
! [X0,X1] : meet(complement(X0),complement(complement(join(X1,X0)))) = meet(complement(X0),complement(complement(X1))),
inference(paramodulation,[status(thm)],[f9273,f23392]) ).
fof(f23799,plain,
! [X0,X1] : complement(join(X0,complement(join(X1,X0)))) = meet(complement(X0),complement(complement(X1))),
inference(forward_demodulation,[status(thm)],[f9273,f23798]) ).
fof(f23800,plain,
! [X0,X1] : meet(join(X0,X1),complement(X1)) = meet(complement(X1),complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f9254,f23799]) ).
fof(f23801,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(complement(X0),complement(complement(X1))),
inference(forward_demodulation,[status(thm)],[f429,f23800]) ).
fof(f23802,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = complement(join(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f9273,f23801]) ).
fof(f23803,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(X1,complement(X0)),
inference(forward_demodulation,[status(thm)],[f9254,f23802]) ).
fof(f25851,plain,
! [X0,X1] : meet(complement(complement(X0)),join(converse(X1),complement(X0))) = meet(converse(meet(converse(X0),X1)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f11649,f23439]) ).
fof(f25852,plain,
! [X0,X1] : meet(converse(X0),complement(complement(X1))) = meet(converse(meet(converse(X1),X0)),complement(complement(X1))),
inference(forward_demodulation,[status(thm)],[f23803,f25851]) ).
fof(f25853,plain,
! [X0,X1] : meet(converse(X0),X1) = meet(converse(meet(converse(X1),X0)),complement(complement(X1))),
inference(forward_demodulation,[status(thm)],[f894,f25852]) ).
fof(f25854,plain,
! [X0,X1] : meet(converse(X0),X1) = meet(complement(complement(X1)),converse(meet(converse(X1),X0))),
inference(forward_demodulation,[status(thm)],[f429,f25853]) ).
fof(f25855,plain,
! [X0,X1] : meet(converse(X0),X1) = meet(X1,converse(meet(converse(X1),X0))),
inference(forward_demodulation,[status(thm)],[f894,f25854]) ).
fof(f25856,plain,
! [X0,X1] : meet(converse(X0),X1) = converse(meet(converse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f2633,f25855]) ).
fof(f26871,plain,
! [X0,X1] : meet(converse(X0),converse(X1)) = converse(meet(X1,X0)),
inference(paramodulation,[status(thm)],[f22,f25856]) ).
fof(f27135,plain,
converse(meet(sk1,sk2)) != converse(meet(sk2,sk1)),
inference(backward_demodulation,[status(thm)],[f26871,f28]) ).
fof(f27136,plain,
converse(meet(sk1,sk2)) != converse(meet(sk1,sk2)),
inference(forward_demodulation,[status(thm)],[f1735,f27135]) ).
fof(f27137,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f27136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : REL005-1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:18:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 34.55/4.89 % Refutation found
% 34.55/4.89 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 34.55/4.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 36.10/5.04 % Elapsed time: 4.675920 seconds
% 36.10/5.04 % CPU time: 35.890039 seconds
% 36.10/5.04 % Memory used: 354.218 MB
%------------------------------------------------------------------------------