TSTP Solution File: REL041-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL041-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:32:28 EDT 2023
% Result : Unsatisfiable 185.72s 23.84s
% Output : CNFRefutation 189.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 16
% Syntax : Number of formulae : 217 ( 217 unt; 0 def)
% Number of atoms : 217 ( 216 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 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 : 333 (; 333 !; 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(f5,axiom,
! [A,B,C] : composition(A,composition(B,C)) = composition(composition(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
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,axiom,
! [A,B,C] : join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
join(composition(converse(sk1),sk1),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
meet(composition(sk1,sk2),composition(sk1,complement(sk2))) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f20,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f21,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f22,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f23,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f25,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f26,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f29,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f30,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f31,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f32,plain,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f35,plain,
join(composition(converse(sk1),sk1),one) = one,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f36,plain,
meet(composition(sk1,sk2),composition(sk1,complement(sk2))) != zero,
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f37,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f19,f21]) ).
fof(f38,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f19,f29]) ).
fof(f39,plain,
join(one,composition(converse(sk1),sk1)) = one,
inference(forward_demodulation,[status(thm)],[f19,f35]) ).
fof(f40,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f22,f37]) ).
fof(f41,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f19,f40]) ).
fof(f46,plain,
! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(paramodulation,[status(thm)],[f24,f23]) ).
fof(f55,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f19,f22]) ).
fof(f56,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f22,f55]) ).
fof(f59,plain,
! [X0,X1,X2] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(paramodulation,[status(thm)],[f22,f22]) ).
fof(f61,plain,
! [X0,X1] : zero = meet(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f31]) ).
fof(f62,plain,
! [X0,X1] : zero = complement(join(meet(X0,X1),complement(meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f59,f61]) ).
fof(f63,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f30,f62]) ).
fof(f64,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f63,f22]) ).
fof(f65,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f64]) ).
fof(f70,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f93,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f26,f27]) ).
fof(f99,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f106,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f107,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f20,f106]) ).
fof(f117,plain,
! [X0,X1,X2,X3] : composition(join(composition(X0,X1),X2),X3) = join(composition(X0,composition(X1,X3)),composition(X2,X3)),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f135,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(paramodulation,[status(thm)],[f20,f30]) ).
fof(f149,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f30,f20]) ).
fof(f214,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f24,f70]) ).
fof(f215,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f26,f214]) ).
fof(f239,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f46,f215]) ).
fof(f240,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[status(thm)],[f215,f239]) ).
fof(f241,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f24,f215]) ).
fof(f253,plain,
! [X0,X1] : composition(join(converse(one),X0),X1) = join(X1,composition(X0,X1)),
inference(paramodulation,[status(thm)],[f215,f25]) ).
fof(f254,plain,
! [X0,X1] : composition(join(one,X0),X1) = join(X1,composition(X0,X1)),
inference(forward_demodulation,[status(thm)],[f241,f253]) ).
fof(f340,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X1,X0)))),
inference(paramodulation,[status(thm)],[f19,f135]) ).
fof(f351,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f30,f149]) ).
fof(f498,plain,
! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(paramodulation,[status(thm)],[f63,f38]) ).
fof(f499,plain,
! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(forward_demodulation,[status(thm)],[f63,f498]) ).
fof(f506,plain,
! [X0] : join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
inference(paramodulation,[status(thm)],[f241,f38]) ).
fof(f507,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f240,f506]) ).
fof(f508,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f240,f507]) ).
fof(f528,plain,
! [X0] : join(complement(one),composition(converse(X0),complement(X0))) = complement(one),
inference(paramodulation,[status(thm)],[f24,f38]) ).
fof(f572,plain,
! [X0,X1,X2,X3] : join(meet(composition(X0,X1),composition(X2,X3)),composition(meet(X0,composition(X2,composition(X3,converse(X1)))),meet(X1,composition(converse(X0),composition(X2,X3))))) = composition(meet(X0,composition(composition(X2,X3),converse(X1))),meet(X1,composition(converse(X0),composition(X2,X3)))),
inference(paramodulation,[status(thm)],[f23,f32]) ).
fof(f573,plain,
! [X0,X1,X2,X3] : join(meet(composition(X0,X1),composition(X2,X3)),composition(meet(X0,composition(X2,composition(X3,converse(X1)))),meet(X1,composition(converse(X0),composition(X2,X3))))) = composition(meet(X0,composition(X2,composition(X3,converse(X1)))),meet(X1,composition(converse(X0),composition(X2,X3)))),
inference(forward_demodulation,[status(thm)],[f23,f572]) ).
fof(f589,plain,
! [X0,X1,X2] : join(meet(composition(X0,converse(X1)),X2),composition(meet(X0,composition(X2,X1)),meet(converse(X1),composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(converse(X1)))),meet(converse(X1),composition(converse(X0),X2))),
inference(paramodulation,[status(thm)],[f26,f32]) ).
fof(f590,plain,
! [X0,X1,X2] : join(meet(composition(X0,converse(X1)),X2),composition(meet(X0,composition(X2,X1)),meet(converse(X1),composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,X1)),meet(converse(X1),composition(converse(X0),X2))),
inference(forward_demodulation,[status(thm)],[f26,f589]) ).
fof(f868,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),complement(X1)))) = complement(join(complement(X0),complement(X1))),
inference(paramodulation,[status(thm)],[f22,f508]) ).
fof(f869,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f22,f868]) ).
fof(f870,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f22,f869]) ).
fof(f887,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f508,f22]) ).
fof(f888,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(paramodulation,[status(thm)],[f508,f149]) ).
fof(f889,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[status(thm)],[f30,f888]) ).
fof(f918,plain,
! [X0] : join(X0,top) = top,
inference(backward_demodulation,[status(thm)],[f889,f351]) ).
fof(f939,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f19,f918]) ).
fof(f1121,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f56,f870]) ).
fof(f1282,plain,
! [X0] : X0 = join(zero,complement(join(complement(X0),complement(X0)))),
inference(paramodulation,[status(thm)],[f31,f41]) ).
fof(f1283,plain,
! [X0] : X0 = join(zero,meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f22,f1282]) ).
fof(f1284,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f887,f1283]) ).
fof(f1292,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f41]) ).
fof(f1293,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f1292]) ).
fof(f1300,plain,
! [X0] : X0 = join(meet(X0,top),complement(top)),
inference(paramodulation,[status(thm)],[f918,f41]) ).
fof(f1301,plain,
! [X0] : X0 = join(complement(top),meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f19,f1300]) ).
fof(f1302,plain,
! [X0] : X0 = join(zero,meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f63,f1301]) ).
fof(f1303,plain,
! [X0,X1] : X0 = join(meet(X0,join(X1,complement(join(X1,complement(X0))))),complement(top)),
inference(paramodulation,[status(thm)],[f340,f41]) ).
fof(f1304,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(X1,complement(join(X1,complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f19,f1303]) ).
fof(f1305,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X1,complement(join(X1,complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f63,f1304]) ).
fof(f1333,plain,
! [X0] : X0 = join(zero,meet(top,X0)),
inference(paramodulation,[status(thm)],[f56,f1302]) ).
fof(f1343,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(paramodulation,[status(thm)],[f22,f1284]) ).
fof(f1344,plain,
! [X0] : meet(complement(X0),top) = complement(X0),
inference(paramodulation,[status(thm)],[f1284,f65]) ).
fof(f1345,plain,
! [X0] : meet(top,complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f56,f1344]) ).
fof(f1361,plain,
! [X0,X1] : meet(top,meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(paramodulation,[status(thm)],[f22,f1345]) ).
fof(f1362,plain,
! [X0,X1] : meet(top,meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f22,f1361]) ).
fof(f1364,plain,
! [X0] : top = join(complement(X0),complement(join(complement(top),complement(X0)))),
inference(paramodulation,[status(thm)],[f1345,f41]) ).
fof(f1365,plain,
! [X0] : top = join(complement(X0),meet(top,X0)),
inference(forward_demodulation,[status(thm)],[f22,f1364]) ).
fof(f1387,plain,
! [X0] : X0 = join(meet(X0,meet(top,X0)),complement(top)),
inference(paramodulation,[status(thm)],[f1365,f41]) ).
fof(f1388,plain,
! [X0] : X0 = join(complement(top),meet(X0,meet(top,X0))),
inference(forward_demodulation,[status(thm)],[f19,f1387]) ).
fof(f1389,plain,
! [X0] : X0 = join(zero,meet(X0,meet(top,X0))),
inference(forward_demodulation,[status(thm)],[f63,f1388]) ).
fof(f1395,plain,
! [X0,X1] : join(complement(X0),join(meet(top,X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f1365,f20]) ).
fof(f1396,plain,
! [X0,X1] : join(complement(X0),join(meet(top,X0),X1)) = top,
inference(forward_demodulation,[status(thm)],[f939,f1395]) ).
fof(f1437,plain,
! [X0,X1] : meet(X0,X1) = join(zero,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f1362,f1333]) ).
fof(f1438,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(paramodulation,[status(thm)],[f1345,f1333]) ).
fof(f1453,plain,
! [X0] : X0 = meet(top,X0),
inference(backward_demodulation,[status(thm)],[f1437,f1333]) ).
fof(f1454,plain,
! [X0] : X0 = meet(X0,top),
inference(backward_demodulation,[status(thm)],[f1437,f1302]) ).
fof(f1455,plain,
! [X0] : X0 = meet(X0,meet(top,X0)),
inference(backward_demodulation,[status(thm)],[f1437,f1389]) ).
fof(f1456,plain,
! [X0] : X0 = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f1453,f1455]) ).
fof(f1457,plain,
! [X0] : X0 = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f887,f1456]) ).
fof(f1465,plain,
! [X0,X1] : X0 = meet(X0,join(X1,complement(join(X1,complement(X0))))),
inference(backward_demodulation,[status(thm)],[f1437,f1305]) ).
fof(f1470,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1438,f1343]) ).
fof(f1495,plain,
! [X0,X1] : join(complement(X0),join(X0,X1)) = top,
inference(backward_demodulation,[status(thm)],[f1453,f1396]) ).
fof(f1496,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = top,
inference(forward_demodulation,[status(thm)],[f107,f1495]) ).
fof(f1619,plain,
! [X0] : X0 = join(X0,complement(join(complement(X0),top))),
inference(paramodulation,[status(thm)],[f1454,f41]) ).
fof(f1620,plain,
! [X0] : X0 = join(X0,complement(top)),
inference(forward_demodulation,[status(thm)],[f918,f1619]) ).
fof(f1621,plain,
! [X0] : X0 = join(X0,zero),
inference(forward_demodulation,[status(thm)],[f63,f1620]) ).
fof(f1622,plain,
! [X0] : join(meet(X0,top),X0) = meet(X0,top),
inference(paramodulation,[status(thm)],[f1454,f870]) ).
fof(f1623,plain,
! [X0] : join(X0,meet(X0,top)) = meet(X0,top),
inference(forward_demodulation,[status(thm)],[f19,f1622]) ).
fof(f1624,plain,
! [X0] : join(X0,X0) = meet(X0,top),
inference(forward_demodulation,[status(thm)],[f1454,f1623]) ).
fof(f1625,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f1454,f1624]) ).
fof(f1685,plain,
! [X0] : X0 = join(zero,X0),
inference(paramodulation,[status(thm)],[f19,f1621]) ).
fof(f1709,plain,
! [X0] : composition(converse(X0),complement(composition(X0,top))) = zero,
inference(backward_demodulation,[status(thm)],[f1685,f499]) ).
fof(f1805,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(zero)),
inference(paramodulation,[status(thm)],[f1621,f93]) ).
fof(f1806,plain,
! [X0] : X0 = join(X0,converse(zero)),
inference(forward_demodulation,[status(thm)],[f26,f1805]) ).
fof(f1807,plain,
! [X0] : converse(top) = join(X0,converse(top)),
inference(paramodulation,[status(thm)],[f918,f93]) ).
fof(f2108,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f939,f1807]) ).
fof(f2245,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = top,
inference(paramodulation,[status(thm)],[f19,f1496]) ).
fof(f2314,plain,
! [X0,X1] : X0 = join(meet(X0,join(X1,complement(complement(X0)))),complement(top)),
inference(paramodulation,[status(thm)],[f2245,f41]) ).
fof(f2315,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(X1,complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f19,f2314]) ).
fof(f2316,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X1,complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f63,f2315]) ).
fof(f2317,plain,
! [X0,X1] : X0 = meet(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f1685,f2316]) ).
fof(f2318,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1457,f2317]) ).
fof(f2334,plain,
zero = converse(zero),
inference(paramodulation,[status(thm)],[f1685,f1806]) ).
fof(f2628,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
inference(paramodulation,[status(thm)],[f1625,f99]) ).
fof(f3051,plain,
! [X0,X1] : converse(X0) = meet(converse(X0),converse(join(X1,X0))),
inference(paramodulation,[status(thm)],[f27,f2318]) ).
fof(f3111,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f56,f1293]) ).
fof(f3125,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f56,f1293]) ).
fof(f3805,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(meet(X1,X2),join(X0,meet(X2,X1))),
inference(paramodulation,[status(thm)],[f1121,f99]) ).
fof(f3918,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f1457,f1470]) ).
fof(f3928,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = top,
inference(paramodulation,[status(thm)],[f1470,f1496]) ).
fof(f3973,plain,
! [X0,X1] : complement(meet(X0,meet(complement(X0),X1))) = top,
inference(paramodulation,[status(thm)],[f1470,f3928]) ).
fof(f4177,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = complement(top),
inference(paramodulation,[status(thm)],[f3973,f1457]) ).
fof(f4178,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = zero,
inference(forward_demodulation,[status(thm)],[f63,f4177]) ).
fof(f4215,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(paramodulation,[status(thm)],[f99,f107]) ).
fof(f4238,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(meet(X2,X1),join(X0,meet(X1,X2))),
inference(paramodulation,[status(thm)],[f1121,f107]) ).
fof(f4239,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f3805,f4238]) ).
fof(f4948,plain,
! [X0,X1] : meet(X0,meet(X1,complement(X0))) = zero,
inference(paramodulation,[status(thm)],[f56,f4178]) ).
fof(f5014,plain,
! [X0,X1] : meet(complement(X0),meet(X1,X0)) = zero,
inference(paramodulation,[status(thm)],[f1457,f4948]) ).
fof(f5164,plain,
! [X0,X1] : meet(complement(join(X0,X1)),X1) = zero,
inference(paramodulation,[status(thm)],[f2318,f5014]) ).
fof(f5165,plain,
! [X0,X1] : meet(X0,complement(join(X1,X0))) = zero,
inference(forward_demodulation,[status(thm)],[f56,f5164]) ).
fof(f5299,plain,
composition(top,complement(composition(top,top))) = zero,
inference(paramodulation,[status(thm)],[f2108,f1709]) ).
fof(f7389,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,complement(X0))) = join(meet(X1,complement(X0)),X1),
inference(paramodulation,[status(thm)],[f3111,f2628]) ).
fof(f7390,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),X0),
inference(forward_demodulation,[status(thm)],[f3111,f7389]) ).
fof(f7391,plain,
! [X0,X1] : X0 = join(X0,meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f7390]) ).
fof(f7631,plain,
! [X0,X1] : X0 = join(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f1457,f7391]) ).
fof(f7714,plain,
! [X0,X1] : X0 = join(X0,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f56,f7631]) ).
fof(f9703,plain,
! [X0,X1] : meet(complement(X0),X1) = complement(join(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f3918,f1457]) ).
fof(f9739,plain,
! [X0,X1] : X0 = meet(X0,join(X1,meet(complement(X1),X0))),
inference(backward_demodulation,[status(thm)],[f9703,f1465]) ).
fof(f9846,plain,
! [X0,X1] : join(X0,meet(complement(X0),X1)) = join(join(X0,meet(complement(X0),X1)),X1),
inference(paramodulation,[status(thm)],[f9739,f7714]) ).
fof(f9847,plain,
! [X0,X1] : join(X0,meet(complement(X0),X1)) = join(X0,join(meet(complement(X0),X1),X1)),
inference(forward_demodulation,[status(thm)],[f20,f9846]) ).
fof(f9848,plain,
! [X0,X1] : join(X0,meet(complement(X0),X1)) = join(X0,join(X1,meet(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f4215,f9847]) ).
fof(f9849,plain,
! [X0,X1] : join(X0,meet(complement(X0),X1)) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f7714,f9848]) ).
fof(f10570,plain,
! [X0] : meet(composition(converse(X0),complement(X0)),complement(complement(one))) = zero,
inference(paramodulation,[status(thm)],[f528,f5165]) ).
fof(f10571,plain,
! [X0] : meet(complement(complement(one)),composition(converse(X0),complement(X0))) = zero,
inference(forward_demodulation,[status(thm)],[f56,f10570]) ).
fof(f10572,plain,
! [X0] : meet(one,composition(converse(X0),complement(X0))) = zero,
inference(forward_demodulation,[status(thm)],[f1457,f10571]) ).
fof(f14881,plain,
! [X0,X1,X2] : join(meet(X0,X1),X2) = join(X2,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f19,f4239]) ).
fof(f17332,plain,
! [X0,X1] : composition(join(composition(X0,top),X1),complement(composition(top,top))) = join(composition(X0,zero),composition(X1,complement(composition(top,top)))),
inference(paramodulation,[status(thm)],[f5299,f117]) ).
fof(f17364,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(paramodulation,[status(thm)],[f5299,f25]) ).
fof(f17365,plain,
! [X0] : composition(top,complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(forward_demodulation,[status(thm)],[f918,f17364]) ).
fof(f17366,plain,
! [X0] : zero = join(composition(X0,complement(composition(top,top))),zero),
inference(forward_demodulation,[status(thm)],[f5299,f17365]) ).
fof(f17367,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[status(thm)],[f1621,f17366]) ).
fof(f17372,plain,
! [X0,X1] : zero = join(composition(X0,zero),composition(X1,complement(composition(top,top)))),
inference(backward_demodulation,[status(thm)],[f17367,f17332]) ).
fof(f17373,plain,
! [X0] : zero = join(composition(X0,zero),zero),
inference(forward_demodulation,[status(thm)],[f17367,f17372]) ).
fof(f17374,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[status(thm)],[f1621,f17373]) ).
fof(f17662,plain,
! [X0] : converse(zero) = composition(converse(zero),X0),
inference(paramodulation,[status(thm)],[f17374,f70]) ).
fof(f17663,plain,
! [X0] : zero = composition(converse(zero),X0),
inference(forward_demodulation,[status(thm)],[f2334,f17662]) ).
fof(f17664,plain,
! [X0] : zero = composition(zero,X0),
inference(forward_demodulation,[status(thm)],[f2334,f17663]) ).
fof(f33818,plain,
! [X0] : join(meet(composition(one,converse(complement(X0))),converse(X0)),composition(zero,meet(converse(complement(X0)),composition(converse(one),converse(X0))))) = composition(meet(one,composition(converse(X0),complement(X0))),meet(converse(complement(X0)),composition(converse(one),converse(X0)))),
inference(paramodulation,[status(thm)],[f10572,f590]) ).
fof(f33819,plain,
! [X0] : join(meet(converse(X0),composition(one,converse(complement(X0)))),composition(zero,meet(converse(complement(X0)),composition(converse(one),converse(X0))))) = composition(meet(one,composition(converse(X0),complement(X0))),meet(converse(complement(X0)),composition(converse(one),converse(X0)))),
inference(forward_demodulation,[status(thm)],[f56,f33818]) ).
fof(f33820,plain,
! [X0] : join(meet(converse(X0),converse(complement(X0))),composition(zero,meet(converse(complement(X0)),composition(converse(one),converse(X0))))) = composition(meet(one,composition(converse(X0),complement(X0))),meet(converse(complement(X0)),composition(converse(one),converse(X0)))),
inference(forward_demodulation,[status(thm)],[f240,f33819]) ).
fof(f33821,plain,
! [X0] : join(meet(converse(X0),converse(complement(X0))),zero) = composition(meet(one,composition(converse(X0),complement(X0))),meet(converse(complement(X0)),composition(converse(one),converse(X0)))),
inference(forward_demodulation,[status(thm)],[f17664,f33820]) ).
fof(f33822,plain,
! [X0] : meet(converse(X0),converse(complement(X0))) = composition(meet(one,composition(converse(X0),complement(X0))),meet(converse(complement(X0)),composition(converse(one),converse(X0)))),
inference(forward_demodulation,[status(thm)],[f1621,f33821]) ).
fof(f33823,plain,
! [X0] : meet(converse(X0),converse(complement(X0))) = composition(zero,meet(converse(complement(X0)),composition(converse(one),converse(X0)))),
inference(forward_demodulation,[status(thm)],[f10572,f33822]) ).
fof(f33824,plain,
! [X0] : meet(converse(X0),converse(complement(X0))) = zero,
inference(forward_demodulation,[status(thm)],[f17664,f33823]) ).
fof(f33929,plain,
! [X0] : meet(X0,converse(complement(converse(X0)))) = zero,
inference(paramodulation,[status(thm)],[f26,f33824]) ).
fof(f34029,plain,
! [X0] : converse(X0) = join(zero,meet(complement(converse(complement(X0))),converse(X0))),
inference(paramodulation,[status(thm)],[f33824,f3125]) ).
fof(f34030,plain,
! [X0] : converse(X0) = meet(complement(converse(complement(X0))),converse(X0)),
inference(forward_demodulation,[status(thm)],[f1685,f34029]) ).
fof(f34031,plain,
! [X0] : converse(X0) = meet(converse(X0),complement(converse(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f56,f34030]) ).
fof(f34162,plain,
! [X0] : join(X0,zero) = join(X0,converse(complement(converse(complement(X0))))),
inference(paramodulation,[status(thm)],[f33929,f9849]) ).
fof(f34163,plain,
! [X0] : X0 = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f1621,f34162]) ).
fof(f35090,plain,
! [X0] : converse(converse(complement(converse(complement(X0))))) = meet(converse(converse(complement(converse(complement(X0))))),converse(X0)),
inference(paramodulation,[status(thm)],[f34163,f3051]) ).
fof(f35091,plain,
! [X0] : complement(converse(complement(X0))) = meet(converse(converse(complement(converse(complement(X0))))),converse(X0)),
inference(forward_demodulation,[status(thm)],[f26,f35090]) ).
fof(f35092,plain,
! [X0] : complement(converse(complement(X0))) = meet(converse(X0),converse(converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f56,f35091]) ).
fof(f35093,plain,
! [X0] : complement(converse(complement(X0))) = meet(converse(X0),complement(converse(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f26,f35092]) ).
fof(f35094,plain,
! [X0] : complement(converse(complement(X0))) = converse(X0),
inference(forward_demodulation,[status(thm)],[f34031,f35093]) ).
fof(f35218,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(paramodulation,[status(thm)],[f1457,f35094]) ).
fof(f37893,plain,
! [X0,X1,X2] : join(meet(X0,X1),X2) = join(meet(X1,X0),X2),
inference(paramodulation,[status(thm)],[f19,f14881]) ).
fof(f64840,plain,
! [X0] : composition(one,X0) = join(X0,composition(composition(converse(sk1),sk1),X0)),
inference(paramodulation,[status(thm)],[f39,f254]) ).
fof(f64841,plain,
! [X0] : X0 = join(X0,composition(composition(converse(sk1),sk1),X0)),
inference(forward_demodulation,[status(thm)],[f240,f64840]) ).
fof(f64842,plain,
! [X0] : X0 = join(X0,composition(converse(sk1),composition(sk1,X0))),
inference(forward_demodulation,[status(thm)],[f23,f64841]) ).
fof(f70447,plain,
! [X0] : meet(composition(converse(sk1),composition(sk1,X0)),complement(X0)) = zero,
inference(paramodulation,[status(thm)],[f64842,f5165]) ).
fof(f70448,plain,
! [X0] : meet(complement(X0),composition(converse(sk1),composition(sk1,X0))) = zero,
inference(forward_demodulation,[status(thm)],[f56,f70447]) ).
fof(f88956,plain,
! [X0] : join(meet(composition(sk1,complement(X0)),composition(sk1,X0)),composition(meet(sk1,composition(sk1,composition(X0,converse(complement(X0))))),zero)) = composition(meet(sk1,composition(sk1,composition(X0,converse(complement(X0))))),meet(complement(X0),composition(converse(sk1),composition(sk1,X0)))),
inference(paramodulation,[status(thm)],[f70448,f573]) ).
fof(f88957,plain,
! [X0] : join(meet(composition(sk1,X0),composition(sk1,complement(X0))),composition(meet(sk1,composition(sk1,composition(X0,converse(complement(X0))))),zero)) = composition(meet(sk1,composition(sk1,composition(X0,converse(complement(X0))))),meet(complement(X0),composition(converse(sk1),composition(sk1,X0)))),
inference(forward_demodulation,[status(thm)],[f37893,f88956]) ).
fof(f88958,plain,
! [X0] : join(meet(composition(sk1,X0),composition(sk1,complement(X0))),zero) = composition(meet(sk1,composition(sk1,composition(X0,converse(complement(X0))))),meet(complement(X0),composition(converse(sk1),composition(sk1,X0)))),
inference(forward_demodulation,[status(thm)],[f17374,f88957]) ).
fof(f88959,plain,
! [X0] : join(zero,meet(composition(sk1,complement(X0)),composition(sk1,X0))) = composition(meet(sk1,composition(sk1,composition(X0,converse(complement(X0))))),meet(complement(X0),composition(converse(sk1),composition(sk1,X0)))),
inference(forward_demodulation,[status(thm)],[f14881,f88958]) ).
fof(f88960,plain,
! [X0] : meet(composition(sk1,complement(X0)),composition(sk1,X0)) = composition(meet(sk1,composition(sk1,composition(X0,converse(complement(X0))))),meet(complement(X0),composition(converse(sk1),composition(sk1,X0)))),
inference(forward_demodulation,[status(thm)],[f1685,f88959]) ).
fof(f88961,plain,
! [X0] : meet(composition(sk1,X0),composition(sk1,complement(X0))) = composition(meet(sk1,composition(sk1,composition(X0,converse(complement(X0))))),meet(complement(X0),composition(converse(sk1),composition(sk1,X0)))),
inference(forward_demodulation,[status(thm)],[f56,f88960]) ).
fof(f88962,plain,
! [X0] : meet(composition(sk1,X0),composition(sk1,complement(X0))) = composition(meet(sk1,composition(sk1,composition(X0,complement(converse(X0))))),meet(complement(X0),composition(converse(sk1),composition(sk1,X0)))),
inference(forward_demodulation,[status(thm)],[f35218,f88961]) ).
fof(f88963,plain,
! [X0] : meet(composition(sk1,X0),composition(sk1,complement(X0))) = composition(meet(sk1,composition(sk1,composition(X0,complement(converse(X0))))),zero),
inference(forward_demodulation,[status(thm)],[f70448,f88962]) ).
fof(f88964,plain,
! [X0] : meet(composition(sk1,X0),composition(sk1,complement(X0))) = zero,
inference(forward_demodulation,[status(thm)],[f17374,f88963]) ).
fof(f89228,plain,
zero != zero,
inference(backward_demodulation,[status(thm)],[f88964,f36]) ).
fof(f89229,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f89228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL041-2 : 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 : n029.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 10:17:37 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.19/0.35 % Drodi V3.5.1
% 185.72/23.84 % Refutation found
% 185.72/23.84 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 185.72/23.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 190.42/24.82 % Elapsed time: 24.431858 seconds
% 190.42/24.82 % CPU time: 188.744148 seconds
% 190.42/24.82 % Memory used: 1.354 GB
%------------------------------------------------------------------------------