TSTP Solution File: REL007-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL007-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12:32:15 EDT 2023
% Result : Unsatisfiable 1.71s 0.62s
% Output : CNFRefutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 13
% Syntax : Number of formulae : 167 ( 167 unt; 0 def)
% Number of atoms : 167 ( 166 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 216 (; 216 !; 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,
meet(sk1,converse(sk2)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
meet(converse(sk1),sk2) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f18,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f19,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f21,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f24,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f25,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f26,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f28,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f29,plain,
meet(sk1,converse(sk2)) = zero,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f30,plain,
meet(converse(sk1),sk2) != zero,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f31,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f16,f18]) ).
fof(f32,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f16,f26]) ).
fof(f33,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f19,f31]) ).
fof(f34,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f16,f33]) ).
fof(f35,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f37,plain,
! [X0,X1,X2] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(paramodulation,[status(thm)],[f19,f19]) ).
fof(f38,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),complement(X2))) = complement(join(complement(X0),meet(X1,X2))),
inference(paramodulation,[status(thm)],[f19,f19]) ).
fof(f39,plain,
! [X0,X1] : zero = meet(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f28]) ).
fof(f40,plain,
! [X0,X1] : zero = complement(join(meet(X0,X1),complement(meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f37,f39]) ).
fof(f41,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f27,f40]) ).
fof(f42,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f41,f19]) ).
fof(f43,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f42]) ).
fof(f48,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f167,plain,
sk1 = join(zero,complement(join(complement(sk1),converse(sk2)))),
inference(paramodulation,[status(thm)],[f29,f34]) ).
fof(f185,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f21,f48]) ).
fof(f186,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f23,f185]) ).
fof(f202,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f27,f34]) ).
fof(f203,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f16,f202]) ).
fof(f204,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f41,f203]) ).
fof(f205,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f27,f35]) ).
fof(f207,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f21,f186]) ).
fof(f215,plain,
! [X0] : join(complement(X0),composition(converse(converse(one)),complement(X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f186,f32]) ).
fof(f216,plain,
! [X0] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f23,f215]) ).
fof(f217,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f207,f186]) ).
fof(f218,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f217,f216]) ).
fof(f248,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f249,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f248]) ).
fof(f250,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f16,f34]) ).
fof(f266,plain,
meet(sk2,converse(sk1)) != zero,
inference(paramodulation,[status(thm)],[f249,f30]) ).
fof(f272,plain,
join(zero,complement(top)) = complement(top),
inference(paramodulation,[status(thm)],[f41,f218]) ).
fof(f273,plain,
join(zero,zero) = complement(top),
inference(forward_demodulation,[status(thm)],[f41,f272]) ).
fof(f274,plain,
join(zero,zero) = zero,
inference(forward_demodulation,[status(thm)],[f41,f273]) ).
fof(f281,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),complement(X1)))) = complement(join(complement(X0),complement(X1))),
inference(paramodulation,[status(thm)],[f19,f218]) ).
fof(f282,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f281]) ).
fof(f283,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f19,f282]) ).
fof(f301,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f218,f34]) ).
fof(f302,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f301]) ).
fof(f303,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f28,f302]) ).
fof(f304,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f303]) ).
fof(f331,plain,
! [X0] : meet(complement(X0),top) = complement(X0),
inference(paramodulation,[status(thm)],[f304,f43]) ).
fof(f332,plain,
! [X0] : meet(top,complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f249,f331]) ).
fof(f336,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f342,plain,
! [X0] : join(zero,join(zero,X0)) = join(zero,X0),
inference(paramodulation,[status(thm)],[f274,f17]) ).
fof(f390,plain,
meet(join(complement(sk1),converse(sk2)),top) = complement(sk1),
inference(paramodulation,[status(thm)],[f167,f43]) ).
fof(f391,plain,
meet(top,join(complement(sk1),converse(sk2))) = complement(sk1),
inference(forward_demodulation,[status(thm)],[f249,f390]) ).
fof(f427,plain,
! [X0] : top = join(complement(X0),complement(join(complement(top),complement(X0)))),
inference(paramodulation,[status(thm)],[f332,f34]) ).
fof(f428,plain,
! [X0] : top = join(complement(X0),meet(top,X0)),
inference(forward_demodulation,[status(thm)],[f19,f427]) ).
fof(f445,plain,
! [X0] : top = join(complement(X0),meet(X0,top)),
inference(paramodulation,[status(thm)],[f249,f428]) ).
fof(f474,plain,
! [X0] : X0 = join(meet(X0,meet(X0,top)),complement(top)),
inference(paramodulation,[status(thm)],[f445,f34]) ).
fof(f475,plain,
! [X0] : X0 = join(complement(top),meet(X0,meet(X0,top))),
inference(forward_demodulation,[status(thm)],[f16,f474]) ).
fof(f476,plain,
! [X0] : X0 = join(zero,meet(X0,meet(X0,top))),
inference(forward_demodulation,[status(thm)],[f41,f475]) ).
fof(f500,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(paramodulation,[status(thm)],[f19,f204]) ).
fof(f501,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f249,f500]) ).
fof(f502,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f38,f501]) ).
fof(f503,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)],[f16,f502]) ).
fof(f520,plain,
! [X0] : X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(converse(top))),
inference(paramodulation,[status(thm)],[f205,f34]) ).
fof(f521,plain,
! [X0] : X0 = join(complement(converse(top)),meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f16,f520]) ).
fof(f613,plain,
! [X0] : join(zero,X0) = join(zero,meet(X0,meet(X0,top))),
inference(paramodulation,[status(thm)],[f476,f342]) ).
fof(f614,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[status(thm)],[f476,f613]) ).
fof(f630,plain,
! [X0] : join(zero,join(X0,zero)) = join(zero,X0),
inference(paramodulation,[status(thm)],[f16,f342]) ).
fof(f631,plain,
! [X0] : join(X0,zero) = join(zero,X0),
inference(forward_demodulation,[status(thm)],[f614,f630]) ).
fof(f632,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[status(thm)],[f614,f631]) ).
fof(f644,plain,
! [X0] : X0 = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f614,f304]) ).
fof(f645,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f614,f43]) ).
fof(f646,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f644,f645]) ).
fof(f673,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(backward_demodulation,[status(thm)],[f614,f503]) ).
fof(f674,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f644,f673]) ).
fof(f675,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f283,f674]) ).
fof(f795,plain,
! [X0] : meet(top,X0) = X0,
inference(paramodulation,[status(thm)],[f249,f646]) ).
fof(f805,plain,
join(complement(sk1),converse(sk2)) = complement(sk1),
inference(backward_demodulation,[status(thm)],[f795,f391]) ).
fof(f819,plain,
top = complement(zero),
inference(paramodulation,[status(thm)],[f41,f644]) ).
fof(f835,plain,
! [X0] : zero = join(meet(zero,X0),complement(join(top,X0))),
inference(paramodulation,[status(thm)],[f819,f34]) ).
fof(f848,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(zero)),
inference(paramodulation,[status(thm)],[f632,f35]) ).
fof(f849,plain,
! [X0] : X0 = join(X0,converse(zero)),
inference(forward_demodulation,[status(thm)],[f23,f848]) ).
fof(f875,plain,
zero = converse(zero),
inference(paramodulation,[status(thm)],[f614,f849]) ).
fof(f962,plain,
! [X0] : join(X0,meet(top,X0)) = meet(top,X0),
inference(paramodulation,[status(thm)],[f795,f283]) ).
fof(f963,plain,
! [X0] : join(X0,X0) = meet(top,X0),
inference(forward_demodulation,[status(thm)],[f795,f962]) ).
fof(f964,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f795,f963]) ).
fof(f1018,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f964,f17]) ).
fof(f1028,plain,
! [X0,X1] : join(meet(X0,X1),X0) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(paramodulation,[status(thm)],[f34,f1018]) ).
fof(f1029,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f16,f1028]) ).
fof(f1030,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f34,f1029]) ).
fof(f1046,plain,
! [X0] : join(X0,converse(top)) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f205,f1018]) ).
fof(f1047,plain,
! [X0] : join(X0,converse(top)) = converse(top),
inference(forward_demodulation,[status(thm)],[f205,f1046]) ).
fof(f1048,plain,
! [X0] : join(X0,top) = join(X0,complement(X0)),
inference(paramodulation,[status(thm)],[f27,f1018]) ).
fof(f1049,plain,
! [X0] : join(X0,top) = top,
inference(forward_demodulation,[status(thm)],[f27,f1048]) ).
fof(f1189,plain,
! [X0] : join(complement(sk1),join(converse(sk2),X0)) = join(complement(sk1),X0),
inference(paramodulation,[status(thm)],[f805,f17]) ).
fof(f1199,plain,
join(complement(sk1),converse(top)) = join(complement(sk1),converse(complement(converse(converse(sk2))))),
inference(paramodulation,[status(thm)],[f205,f1189]) ).
fof(f1200,plain,
converse(top) = join(complement(sk1),converse(complement(converse(converse(sk2))))),
inference(forward_demodulation,[status(thm)],[f1047,f1199]) ).
fof(f1201,plain,
converse(top) = join(complement(sk1),converse(complement(sk2))),
inference(forward_demodulation,[status(thm)],[f23,f1200]) ).
fof(f1216,plain,
sk1 = join(meet(sk1,converse(complement(sk2))),complement(converse(top))),
inference(paramodulation,[status(thm)],[f1201,f34]) ).
fof(f1217,plain,
sk1 = join(complement(converse(top)),meet(sk1,converse(complement(sk2)))),
inference(forward_demodulation,[status(thm)],[f16,f1216]) ).
fof(f1254,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f16,f1049]) ).
fof(f1274,plain,
! [X0] : zero = join(meet(zero,X0),complement(top)),
inference(backward_demodulation,[status(thm)],[f1254,f835]) ).
fof(f1275,plain,
! [X0] : zero = join(complement(top),meet(zero,X0)),
inference(forward_demodulation,[status(thm)],[f16,f1274]) ).
fof(f1276,plain,
! [X0] : zero = join(zero,meet(zero,X0)),
inference(forward_demodulation,[status(thm)],[f41,f1275]) ).
fof(f1277,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[status(thm)],[f614,f1276]) ).
fof(f1322,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f205,f1254]) ).
fof(f1345,plain,
sk1 = join(complement(top),meet(sk1,converse(complement(sk2)))),
inference(backward_demodulation,[status(thm)],[f1322,f1217]) ).
fof(f1346,plain,
sk1 = join(zero,meet(sk1,converse(complement(sk2)))),
inference(forward_demodulation,[status(thm)],[f41,f1345]) ).
fof(f1347,plain,
sk1 = meet(sk1,converse(complement(sk2))),
inference(forward_demodulation,[status(thm)],[f614,f1346]) ).
fof(f1357,plain,
! [X0] : X0 = join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),
inference(backward_demodulation,[status(thm)],[f1322,f521]) ).
fof(f1358,plain,
! [X0] : X0 = join(zero,meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f41,f1357]) ).
fof(f1359,plain,
! [X0] : X0 = meet(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f614,f1358]) ).
fof(f1416,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f249,f1030]) ).
fof(f1462,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(X1,converse(X0)))),
inference(paramodulation,[status(thm)],[f1416,f35]) ).
fof(f1463,plain,
! [X0,X1] : X0 = join(X0,converse(meet(X1,converse(X0)))),
inference(forward_demodulation,[status(thm)],[f23,f1462]) ).
fof(f2045,plain,
complement(sk2) = join(complement(sk2),converse(sk1)),
inference(paramodulation,[status(thm)],[f1347,f1463]) ).
fof(f2218,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X1,X0)),
inference(paramodulation,[status(thm)],[f16,f675]) ).
fof(f2219,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f675,f2218]) ).
fof(f2589,plain,
! [X0,X1] : join(X0,top) = join(complement(X1),join(X0,X1)),
inference(paramodulation,[status(thm)],[f27,f336]) ).
fof(f2590,plain,
! [X0,X1] : top = join(complement(X0),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1049,f2589]) ).
fof(f2591,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f336,f2590]) ).
fof(f3192,plain,
! [X0,X1] : top = join(X0,complement(meet(X0,X1))),
inference(paramodulation,[status(thm)],[f675,f2591]) ).
fof(f3208,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f16,f2591]) ).
fof(f3269,plain,
! [X0,X1] : top = complement(meet(X0,meet(complement(X0),X1))),
inference(paramodulation,[status(thm)],[f675,f3192]) ).
fof(f3270,plain,
! [X0,X1] : top = join(X0,complement(meet(X1,X0))),
inference(paramodulation,[status(thm)],[f2219,f3192]) ).
fof(f3398,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),X1),complement(top)),
inference(paramodulation,[status(thm)],[f3270,f250]) ).
fof(f3399,plain,
! [X0,X1] : meet(X0,X1) = join(complement(top),meet(meet(X0,X1),X1)),
inference(forward_demodulation,[status(thm)],[f16,f3398]) ).
fof(f3400,plain,
! [X0,X1] : meet(X0,X1) = join(zero,meet(meet(X0,X1),X1)),
inference(forward_demodulation,[status(thm)],[f41,f3399]) ).
fof(f3401,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f614,f3400]) ).
fof(f3402,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f249,f3401]) ).
fof(f3487,plain,
! [X0,X1] : X0 = join(meet(X0,join(X1,complement(complement(X0)))),complement(top)),
inference(paramodulation,[status(thm)],[f3208,f34]) ).
fof(f3488,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(X1,complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f16,f3487]) ).
fof(f3489,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X1,complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f41,f3488]) ).
fof(f3490,plain,
! [X0,X1] : X0 = meet(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f614,f3489]) ).
fof(f3491,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f644,f3490]) ).
fof(f4293,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(meet(X0,meet(complement(X0),X1)),converse(complement(converse(top)))),
inference(paramodulation,[status(thm)],[f3269,f1359]) ).
fof(f4294,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(converse(complement(converse(top))),meet(X0,meet(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f249,f4293]) ).
fof(f4295,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(converse(complement(top)),meet(X0,meet(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f1322,f4294]) ).
fof(f4296,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(converse(zero),meet(X0,meet(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f41,f4295]) ).
fof(f4297,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(zero,meet(X0,meet(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f875,f4296]) ).
fof(f4298,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = zero,
inference(forward_demodulation,[status(thm)],[f1277,f4297]) ).
fof(f4345,plain,
! [X0,X1] : meet(X0,meet(X1,complement(X0))) = zero,
inference(paramodulation,[status(thm)],[f3402,f4298]) ).
fof(f4429,plain,
! [X0,X1] : meet(complement(X0),meet(X1,X0)) = zero,
inference(paramodulation,[status(thm)],[f644,f4345]) ).
fof(f4589,plain,
! [X0,X1] : meet(complement(join(X0,X1)),X1) = zero,
inference(paramodulation,[status(thm)],[f3491,f4429]) ).
fof(f4590,plain,
! [X0,X1] : meet(X0,complement(join(X1,X0))) = zero,
inference(forward_demodulation,[status(thm)],[f249,f4589]) ).
fof(f4682,plain,
meet(converse(sk1),complement(complement(sk2))) = zero,
inference(paramodulation,[status(thm)],[f2045,f4590]) ).
fof(f4683,plain,
meet(converse(sk1),sk2) = zero,
inference(forward_demodulation,[status(thm)],[f644,f4682]) ).
fof(f4684,plain,
meet(sk2,converse(sk1)) = zero,
inference(forward_demodulation,[status(thm)],[f249,f4683]) ).
fof(f4685,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4684,f266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL007-1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:23:03 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 1.71/0.62 % Refutation found
% 1.71/0.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.71/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.71/0.65 % Elapsed time: 0.289648 seconds
% 1.71/0.65 % CPU time: 1.928589 seconds
% 1.71/0.65 % Memory used: 31.083 MB
%------------------------------------------------------------------------------