TSTP Solution File: REL001-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL001-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:32:12 EDT 2023
% Result : Unsatisfiable 0.07s 0.29s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 63 ( 63 unt; 0 def)
% Number of atoms : 63 ( 62 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 : 5 ( 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 : 76 (; 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : top = join(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : zero = meet(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
join(zero,sk1) != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f20,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f24,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f27,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f28,plain,
join(zero,sk1) != sk1,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f29,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f15,f25]) ).
fof(f30,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(backward_demodulation,[status(thm)],[f18,f17]) ).
fof(f31,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f15,f30]) ).
fof(f36,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f26,f16]) ).
fof(f42,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f26,f18]) ).
fof(f43,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f27,f42]) ).
fof(f54,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f43,f18]) ).
fof(f79,plain,
! [X0] : top = join(join(complement(X0),zero),meet(X0,top)),
inference(paramodulation,[status(thm)],[f54,f26]) ).
fof(f198,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f26,f36]) ).
fof(f199,plain,
! [X0] : join(X0,top) = join(complement(complement(X0)),top),
inference(forward_demodulation,[status(thm)],[f15,f198]) ).
fof(f304,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f22,f24]) ).
fof(f313,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f20,f304]) ).
fof(f314,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f22,f313]) ).
fof(f337,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f20,f314]) ).
fof(f346,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f337,f314]) ).
fof(f533,plain,
! [X0] : join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
inference(paramodulation,[status(thm)],[f337,f29]) ).
fof(f534,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f346,f533]) ).
fof(f535,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f346,f534]) ).
fof(f576,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f535,f18]) ).
fof(f577,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(paramodulation,[status(thm)],[f535,f36]) ).
fof(f578,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[status(thm)],[f26,f577]) ).
fof(f579,plain,
! [X0] : top = join(complement(X0),top),
inference(forward_demodulation,[status(thm)],[f15,f578]) ).
fof(f587,plain,
! [X0] : join(X0,top) = top,
inference(backward_demodulation,[status(thm)],[f579,f199]) ).
fof(f657,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(paramodulation,[status(thm)],[f535,f31]) ).
fof(f658,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f27,f657]) ).
fof(f660,plain,
! [X0] : X0 = join(complement(top),meet(X0,top)),
inference(paramodulation,[status(thm)],[f587,f31]) ).
fof(f661,plain,
! [X0] : X0 = join(zero,meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f43,f660]) ).
fof(f662,plain,
! [X0] : X0 = join(meet(X0,top),zero),
inference(forward_demodulation,[status(thm)],[f15,f661]) ).
fof(f714,plain,
! [X0] : X0 = join(complement(join(complement(X0),X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f576,f31]) ).
fof(f755,plain,
! [X0] : meet(complement(X0),top) = complement(X0),
inference(paramodulation,[status(thm)],[f658,f54]) ).
fof(f839,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(paramodulation,[status(thm)],[f755,f662]) ).
fof(f848,plain,
! [X0] : X0 = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f839,f658]) ).
fof(f849,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f839,f54]) ).
fof(f850,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f848,f849]) ).
fof(f864,plain,
! [X0] : top = join(complement(X0),meet(X0,top)),
inference(backward_demodulation,[status(thm)],[f839,f79]) ).
fof(f865,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[status(thm)],[f850,f864]) ).
fof(f871,plain,
! [X0] : X0 = join(complement(join(complement(X0),X0)),X0),
inference(backward_demodulation,[status(thm)],[f848,f714]) ).
fof(f872,plain,
! [X0] : X0 = join(complement(top),X0),
inference(forward_demodulation,[status(thm)],[f865,f871]) ).
fof(f873,plain,
! [X0] : X0 = join(zero,X0),
inference(forward_demodulation,[status(thm)],[f43,f872]) ).
fof(f891,plain,
sk1 != sk1,
inference(backward_demodulation,[status(thm)],[f873,f28]) ).
fof(f892,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f891]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : REL001-1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n002.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 10:16:57 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 0.07/0.29 % Refutation found
% 0.07/0.29 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.30 % Elapsed time: 0.032618 seconds
% 0.07/0.30 % CPU time: 0.191319 seconds
% 0.07/0.30 % Memory used: 4.065 MB
%------------------------------------------------------------------------------