TSTP Solution File: REL004-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL004-3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 3.58s 0.88s
% Output : CNFRefutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 12
% Syntax : Number of formulae : 100 ( 100 unt; 0 def)
% Number of atoms : 100 ( 99 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 : 8 ( 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 : 140 (; 140 !; 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(f45,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f29,f19]) ).
fof(f60,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f62,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f29,f21]) ).
fof(f63,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f30,f62]) ).
fof(f115,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f23,f60]) ).
fof(f116,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f25,f115]) ).
fof(f128,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f23,f116]) ).
fof(f138,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f128,f116]) ).
fof(f152,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f25,f26]) ).
fof(f183,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f29,f45]) ).
fof(f220,plain,
! [X0] : join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
inference(paramodulation,[status(thm)],[f128,f36]) ).
fof(f221,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f138,f220]) ).
fof(f222,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f138,f221]) ).
fof(f237,plain,
join(zero,complement(top)) = complement(top),
inference(paramodulation,[status(thm)],[f63,f222]) ).
fof(f238,plain,
join(zero,zero) = complement(top),
inference(forward_demodulation,[status(thm)],[f63,f237]) ).
fof(f239,plain,
join(zero,zero) = zero,
inference(forward_demodulation,[status(thm)],[f63,f238]) ).
fof(f258,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f222,f21]) ).
fof(f259,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(paramodulation,[status(thm)],[f222,f45]) ).
fof(f260,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[status(thm)],[f29,f259]) ).
fof(f264,plain,
! [X0] : join(X0,top) = top,
inference(backward_demodulation,[status(thm)],[f260,f183]) ).
fof(f271,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f18,f264]) ).
fof(f450,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f29,f152]) ).
fof(f480,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f271,f450]) ).
fof(f515,plain,
! [X0,X1] : join(X0,join(converse(complement(converse(X0))),X1)) = join(converse(top),X1),
inference(paramodulation,[status(thm)],[f450,f19]) ).
fof(f516,plain,
! [X0,X1] : join(X0,join(converse(complement(converse(X0))),X1)) = join(top,X1),
inference(forward_demodulation,[status(thm)],[f480,f515]) ).
fof(f517,plain,
! [X0,X1] : join(X0,join(converse(complement(converse(X0))),X1)) = top,
inference(forward_demodulation,[status(thm)],[f271,f516]) ).
fof(f543,plain,
! [X0,X1] : join(X0,converse(join(complement(converse(X0)),X1))) = top,
inference(paramodulation,[status(thm)],[f26,f517]) ).
fof(f564,plain,
! [X0,X1] : converse(top) = join(X0,converse(join(converse(complement(converse(converse(X0)))),X1))),
inference(paramodulation,[status(thm)],[f517,f152]) ).
fof(f565,plain,
! [X0,X1] : top = join(X0,converse(join(converse(complement(converse(converse(X0)))),X1))),
inference(forward_demodulation,[status(thm)],[f480,f564]) ).
fof(f566,plain,
! [X0,X1] : top = join(X0,join(complement(converse(converse(X0))),converse(X1))),
inference(forward_demodulation,[status(thm)],[f152,f565]) ).
fof(f567,plain,
! [X0,X1] : top = join(X0,join(complement(X0),converse(X1))),
inference(forward_demodulation,[status(thm)],[f25,f566]) ).
fof(f696,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f25,f567]) ).
fof(f762,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = top,
inference(paramodulation,[status(thm)],[f222,f543]) ).
fof(f1004,plain,
! [X0] : join(zero,join(zero,X0)) = join(zero,X0),
inference(paramodulation,[status(thm)],[f239,f19]) ).
fof(f1029,plain,
! [X0] : X0 = join(zero,complement(join(complement(X0),complement(X0)))),
inference(paramodulation,[status(thm)],[f30,f38]) ).
fof(f1030,plain,
! [X0] : X0 = join(zero,meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f21,f1029]) ).
fof(f1031,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f258,f1030]) ).
fof(f1053,plain,
! [X0] : X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)),
inference(paramodulation,[status(thm)],[f762,f38]) ).
fof(f1054,plain,
! [X0] : X0 = join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f18,f1053]) ).
fof(f1055,plain,
! [X0] : X0 = join(zero,meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f63,f1054]) ).
fof(f1059,plain,
! [X0,X1] : X0 = join(meet(X0,join(complement(complement(X0)),X1)),complement(top)),
inference(paramodulation,[status(thm)],[f696,f38]) ).
fof(f1060,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f18,f1059]) ).
fof(f1061,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f63,f1060]) ).
fof(f1087,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(paramodulation,[status(thm)],[f21,f1031]) ).
fof(f1090,plain,
! [X0] : join(zero,X0) = join(zero,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f1031,f1004]) ).
fof(f1091,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[status(thm)],[f1031,f1090]) ).
fof(f1092,plain,
! [X0,X1] : join(zero,join(complement(complement(X0)),X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f1031,f19]) ).
fof(f1093,plain,
! [X0,X1] : join(complement(complement(X0)),X1) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f1091,f1092]) ).
fof(f1098,plain,
! [X0] : X0 = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f1091,f1031]) ).
fof(f1115,plain,
! [X0] : X0 = meet(X0,converse(complement(converse(complement(X0))))),
inference(backward_demodulation,[status(thm)],[f1091,f1055]) ).
fof(f1117,plain,
! [X0,X1] : X0 = meet(X0,join(complement(complement(X0)),X1)),
inference(backward_demodulation,[status(thm)],[f1091,f1061]) ).
fof(f1118,plain,
! [X0,X1] : X0 = meet(X0,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1093,f1117]) ).
fof(f1123,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1091,f1087]) ).
fof(f1912,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f18,f1118]) ).
fof(f3520,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f1098,f1123]) ).
fof(f4174,plain,
! [X0] : join(X0,complement(converse(complement(converse(complement(complement(X0))))))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f1115,f3520]) ).
fof(f4175,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f1098,f4174]) ).
fof(f4176,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f1098,f4175]) ).
fof(f4198,plain,
! [X0,X1] : join(X0,complement(join(X1,complement(X0)))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f1912,f3520]) ).
fof(f4199,plain,
! [X0,X1] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f1098,f4198]) ).
fof(f4243,plain,
! [X0,X1] : meet(complement(X0),X1) = complement(join(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f3520,f1098]) ).
fof(f4257,plain,
! [X0,X1] : join(X0,meet(complement(X1),X0)) = X0,
inference(backward_demodulation,[status(thm)],[f4243,f4199]) ).
fof(f4304,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f1098,f4257]) ).
fof(f4398,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(X1,converse(X0)))),
inference(paramodulation,[status(thm)],[f4304,f152]) ).
fof(f4399,plain,
! [X0,X1] : X0 = join(X0,converse(meet(X1,converse(X0)))),
inference(forward_demodulation,[status(thm)],[f25,f4398]) ).
fof(f4742,plain,
! [X0] : complement(converse(complement(X0))) = join(complement(converse(complement(X0))),converse(X0)),
inference(paramodulation,[status(thm)],[f1115,f4399]) ).
fof(f4743,plain,
! [X0] : complement(converse(complement(X0))) = join(converse(X0),complement(converse(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f18,f4742]) ).
fof(f4916,plain,
! [X0] : join(converse(X0),complement(converse(complement(X0)))) = converse(X0),
inference(paramodulation,[status(thm)],[f25,f4176]) ).
fof(f4917,plain,
! [X0] : complement(converse(complement(X0))) = converse(X0),
inference(forward_demodulation,[status(thm)],[f4743,f4916]) ).
fof(f5055,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(paramodulation,[status(thm)],[f1098,f4917]) ).
fof(f5121,plain,
complement(converse(sk1)) != complement(converse(sk1)),
inference(backward_demodulation,[status(thm)],[f5055,f34]) ).
fof(f5122,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f5121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL004-3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.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 09:58:16 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 3.58/0.88 % Refutation found
% 3.58/0.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.58/0.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.92/0.92 % Elapsed time: 0.567329 seconds
% 3.92/0.92 % CPU time: 4.025611 seconds
% 3.92/0.92 % Memory used: 59.875 MB
%------------------------------------------------------------------------------