TSTP Solution File: REL004-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : REL004-2 : 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 : Tue Apr 30 20:37:19 EDT 2024
% Result : Unsatisfiable 2.61s 0.73s
% Output : CNFRefutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 12
% Syntax : Number of formulae : 115 ( 115 unt; 0 def)
% Number of atoms : 115 ( 114 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 : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 161 ( 161 !; 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(f17,negated_conjecture,
converse(complement(sk1)) != complement(converse(sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f19,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f20,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f21,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f28,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f34,plain,
converse(complement(sk1)) != complement(converse(sk1)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f35,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f18,f20]) ).
fof(f36,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f18,f28]) ).
fof(f37,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f21,f35]) ).
fof(f38,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f18,f37]) ).
fof(f39,plain,
! [X0,X1,X2] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(paramodulation,[status(thm)],[f21,f21]) ).
fof(f40,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),complement(X2))) = complement(join(complement(X0),meet(X1,X2))),
inference(paramodulation,[status(thm)],[f21,f21]) ).
fof(f41,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f25,f26]) ).
fof(f44,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f45,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)],[f21,f36]) ).
fof(f46,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)],[f21,f45]) ).
fof(f47,plain,
! [X0,X1] : join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
inference(paramodulation,[status(thm)],[f25,f36]) ).
fof(f309,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f21,f38]) ).
fof(f310,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f18,f309]) ).
fof(f353,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f23,f44]) ).
fof(f354,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f25,f353]) ).
fof(f373,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f18,f21]) ).
fof(f374,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f21,f373]) ).
fof(f404,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f29,f41]) ).
fof(f408,plain,
! [X0,X1] : meet(X0,top) = complement(join(complement(X0),meet(X1,complement(X1)))),
inference(paramodulation,[status(thm)],[f29,f40]) ).
fof(f409,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(forward_demodulation,[status(thm)],[f30,f408]) ).
fof(f410,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f18,f409]) ).
fof(f414,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f29,f21]) ).
fof(f415,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f30,f414]) ).
fof(f416,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f29,f38]) ).
fof(f417,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f18,f416]) ).
fof(f418,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f415,f417]) ).
fof(f456,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f23,f354]) ).
fof(f460,plain,
! [X0] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f354,f47]) ).
fof(f463,plain,
! [X0,X1] : join(meet(X0,X1),composition(converse(converse(one)),complement(join(complement(X0),complement(X1))))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f354,f46]) ).
fof(f464,plain,
! [X0,X1] : join(meet(X0,X1),composition(one,complement(join(complement(X0),complement(X1))))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f25,f463]) ).
fof(f465,plain,
! [X0,X1] : join(meet(X0,X1),composition(one,meet(X0,X1))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f21,f464]) ).
fof(f476,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f456,f354]) ).
fof(f477,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(backward_demodulation,[status(thm)],[f476,f465]) ).
fof(f478,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f476,f460]) ).
fof(f581,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f478,f21]) ).
fof(f582,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f478,f38]) ).
fof(f583,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f18,f582]) ).
fof(f584,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f30,f583]) ).
fof(f585,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f18,f584]) ).
fof(f687,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f374,f310]) ).
fof(f699,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f374,f310]) ).
fof(f706,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(complement(join(complement(X0),complement(X1)))))))),
inference(paramodulation,[status(thm)],[f39,f418]) ).
fof(f707,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)],[f21,f706]) ).
fof(f736,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f374,f687]) ).
fof(f758,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(paramodulation,[status(thm)],[f30,f699]) ).
fof(f759,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f18,f758]) ).
fof(f760,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f374,f759]) ).
fof(f761,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f418,f760]) ).
fof(f764,plain,
! [X0] : complement(X0) = join(meet(complement(X0),X0),complement(complement(complement(X0)))),
inference(paramodulation,[status(thm)],[f581,f699]) ).
fof(f765,plain,
! [X0] : complement(X0) = join(complement(complement(complement(X0))),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f18,f764]) ).
fof(f766,plain,
! [X0] : complement(X0) = join(complement(X0),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f761,f765]) ).
fof(f767,plain,
! [X0] : complement(X0) = join(complement(X0),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f374,f766]) ).
fof(f768,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[status(thm)],[f30,f767]) ).
fof(f769,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[status(thm)],[f18,f768]) ).
fof(f779,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f761,f585]) ).
fof(f782,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),meet(X0,X1)))),
inference(backward_demodulation,[status(thm)],[f761,f707]) ).
fof(f783,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f769,f782]) ).
fof(f784,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f477,f783]) ).
fof(f810,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f769,f410]) ).
fof(f811,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f761,f810]) ).
fof(f941,plain,
! [X0] : meet(top,X0) = X0,
inference(paramodulation,[status(thm)],[f374,f811]) ).
fof(f1298,plain,
! [X0] : X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(converse(top))),
inference(paramodulation,[status(thm)],[f404,f38]) ).
fof(f1299,plain,
! [X0] : X0 = join(complement(converse(top)),meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f18,f1298]) ).
fof(f1305,plain,
! [X0] : join(X0,meet(top,X0)) = meet(top,X0),
inference(paramodulation,[status(thm)],[f941,f477]) ).
fof(f1306,plain,
! [X0] : join(X0,X0) = meet(top,X0),
inference(forward_demodulation,[status(thm)],[f941,f1305]) ).
fof(f1307,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f941,f1306]) ).
fof(f1364,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f1307,f19]) ).
fof(f1374,plain,
! [X0,X1] : join(meet(X0,X1),X1) = join(meet(X0,X1),meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f736,f1364]) ).
fof(f1375,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = join(meet(X1,X0),meet(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f18,f1374]) ).
fof(f1376,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f736,f1375]) ).
fof(f1404,plain,
! [X0] : join(X0,top) = join(X0,complement(X0)),
inference(paramodulation,[status(thm)],[f29,f1364]) ).
fof(f1405,plain,
! [X0] : join(X0,top) = top,
inference(forward_demodulation,[status(thm)],[f29,f1404]) ).
fof(f1428,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f18,f1405]) ).
fof(f1457,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f404,f1428]) ).
fof(f1484,plain,
! [X0] : X0 = join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),
inference(backward_demodulation,[status(thm)],[f1457,f1299]) ).
fof(f1485,plain,
! [X0] : X0 = join(zero,meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f415,f1484]) ).
fof(f1486,plain,
! [X0] : X0 = meet(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f779,f1485]) ).
fof(f1735,plain,
! [X0] : join(converse(complement(converse(complement(X0)))),X0) = converse(complement(converse(complement(X0)))),
inference(paramodulation,[status(thm)],[f1486,f1376]) ).
fof(f1736,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = converse(complement(converse(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f18,f1735]) ).
fof(f1825,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f761,f784]) ).
fof(f2587,plain,
! [X0] : join(X0,complement(converse(complement(converse(complement(complement(X0))))))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f1486,f1825]) ).
fof(f2588,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f761,f2587]) ).
fof(f2589,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f761,f2588]) ).
fof(f2681,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(paramodulation,[status(thm)],[f2589,f41]) ).
fof(f2682,plain,
! [X0] : X0 = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(forward_demodulation,[status(thm)],[f25,f2681]) ).
fof(f2683,plain,
! [X0] : X0 = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f25,f2682]) ).
fof(f2684,plain,
! [X0] : X0 = converse(complement(converse(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f1736,f2683]) ).
fof(f2848,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(paramodulation,[status(thm)],[f761,f2684]) ).
fof(f2978,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(paramodulation,[status(thm)],[f25,f2848]) ).
fof(f3015,plain,
complement(converse(sk1)) != complement(converse(sk1)),
inference(backward_demodulation,[status(thm)],[f2978,f34]) ).
fof(f3016,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f3015]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL004-2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 21:23:19 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 2.61/0.73 % Refutation found
% 2.61/0.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.61/0.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.28/0.76 % Elapsed time: 0.398379 seconds
% 3.28/0.76 % CPU time: 3.014682 seconds
% 3.28/0.76 % Total memory used: 73.824 MB
% 3.28/0.76 % Net memory used: 71.950 MB
%------------------------------------------------------------------------------