TSTP Solution File: REL008-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL008-3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:32:16 EDT 2023
% Result : Unsatisfiable 27.75s 3.92s
% Output : CNFRefutation 28.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 49 (; 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f17,negated_conjecture,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
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(f34,plain,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f166,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f25,f26]) ).
fof(f167,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f25,f26]) ).
fof(f212,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f214,plain,
! [X0,X1,X2] : composition(join(converse(X0),X1),converse(X2)) = join(converse(composition(X2,X0)),composition(X1,converse(X2))),
inference(paramodulation,[status(thm)],[f27,f24]) ).
fof(f225,plain,
! [X0,X1,X2] : converse(composition(join(converse(X0),X1),X2)) = composition(converse(X2),join(X0,converse(X1))),
inference(paramodulation,[status(thm)],[f166,f27]) ).
fof(f299,plain,
! [X0,X1,X2] : converse(join(X0,composition(converse(X1),X2))) = join(converse(X0),composition(converse(X2),X1)),
inference(paramodulation,[status(thm)],[f212,f167]) ).
fof(f32310,plain,
! [X0,X1,X2] : converse(composition(join(converse(X0),converse(X1)),converse(X2))) = join(converse(converse(composition(X2,X0))),composition(converse(converse(X2)),X1)),
inference(paramodulation,[status(thm)],[f214,f299]) ).
fof(f32311,plain,
! [X0,X1,X2] : composition(converse(converse(X0)),join(X1,converse(converse(X2)))) = join(converse(converse(composition(X0,X1))),composition(converse(converse(X0)),X2)),
inference(forward_demodulation,[status(thm)],[f225,f32310]) ).
fof(f32312,plain,
! [X0,X1,X2] : composition(X0,join(X1,converse(converse(X2)))) = join(converse(converse(composition(X0,X1))),composition(converse(converse(X0)),X2)),
inference(forward_demodulation,[status(thm)],[f25,f32311]) ).
fof(f32313,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(converse(converse(composition(X0,X1))),composition(converse(converse(X0)),X2)),
inference(forward_demodulation,[status(thm)],[f25,f32312]) ).
fof(f32314,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(converse(converse(X0)),X2)),
inference(forward_demodulation,[status(thm)],[f25,f32313]) ).
fof(f32315,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[status(thm)],[f25,f32314]) ).
fof(f32583,plain,
composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)),
inference(backward_demodulation,[status(thm)],[f32315,f34]) ).
fof(f32584,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f32583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : REL008-3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n006.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 09:59:47 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.32 % Drodi V3.5.1
% 27.75/3.92 % Refutation found
% 27.75/3.92 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 27.75/3.92 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 28.68/4.05 % Elapsed time: 3.719041 seconds
% 28.68/4.05 % CPU time: 28.620014 seconds
% 28.68/4.05 % Memory used: 318.187 MB
%------------------------------------------------------------------------------