TSTP Solution File: REL008-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : REL008-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:37:21 EDT 2024
% Result : Unsatisfiable 8.69s 1.48s
% Output : CNFRefutation 8.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [A,B,C] : composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
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(f14,negated_conjecture,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f22,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f28,plain,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f290,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f22,f23]) ).
fof(f323,plain,
! [X0,X1] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(paramodulation,[status(thm)],[f22,f24]) ).
fof(f325,plain,
! [X0,X1,X2] : composition(join(X0,converse(X1)),converse(X2)) = join(composition(X0,converse(X2)),converse(composition(X2,X1))),
inference(paramodulation,[status(thm)],[f24,f21]) ).
fof(f1497,plain,
! [X0,X1,X2] : converse(composition(join(X0,converse(X1)),X2)) = composition(converse(X2),join(converse(X0),X1)),
inference(paramodulation,[status(thm)],[f290,f24]) ).
fof(f1531,plain,
! [X0,X1,X2] : join(converse(composition(X0,converse(X1))),composition(X1,X2)) = converse(composition(join(X0,converse(X2)),converse(X1))),
inference(paramodulation,[status(thm)],[f325,f290]) ).
fof(f19976,plain,
! [X1,X0,X2] : join(composition(X1,converse(X0)),composition(X1,X2)) = converse(composition(join(X0,converse(X2)),converse(X1))),
inference(forward_demodulation,[status(thm)],[f323,f1531]) ).
fof(f19977,plain,
! [X1,X0,X2] : join(composition(X1,converse(X0)),composition(X1,X2)) = composition(converse(converse(X1)),join(converse(X0),X2)),
inference(forward_demodulation,[status(thm)],[f1497,f19976]) ).
fof(f19978,plain,
! [X0,X1,X2] : join(composition(X0,converse(X1)),composition(X0,X2)) = composition(X0,join(converse(X1),X2)),
inference(forward_demodulation,[status(thm)],[f22,f19977]) ).
fof(f20004,plain,
! [X0,X1,X2] : composition(X0,join(converse(converse(X1)),X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(paramodulation,[status(thm)],[f22,f19978]) ).
fof(f20087,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[status(thm)],[f22,f20004]) ).
fof(f20088,plain,
$false,
inference(resolution,[status(thm)],[f20087,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : REL008-1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 20:36:33 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.32 % Drodi V3.6.0
% 8.69/1.48 % Refutation found
% 8.69/1.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.69/1.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.03/1.50 % Elapsed time: 1.166227 seconds
% 9.03/1.50 % CPU time: 9.056636 seconds
% 9.03/1.50 % Total memory used: 109.780 MB
% 9.03/1.50 % Net memory used: 107.414 MB
%------------------------------------------------------------------------------