TSTP Solution File: CAT016-4 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CAT016-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 20:13:22 EDT 2024
% Result : Unsatisfiable 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 16 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X,Y] :
( ~ there_exists(compose(X,Y))
| there_exists(domain(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : compose(X,domain(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
there_exists(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ there_exists(domain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,plain,
! [X] :
( ! [Y] : ~ there_exists(compose(X,Y))
| there_exists(domain(X)) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f21,plain,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f25,plain,
! [X0] : compose(X0,domain(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f27,plain,
there_exists(a),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f28,plain,
~ there_exists(domain(a)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f30,plain,
! [X0] :
( ~ there_exists(X0)
| there_exists(domain(X0)) ),
inference(paramodulation,[status(thm)],[f25,f21]) ).
fof(f31,plain,
there_exists(domain(a)),
inference(resolution,[status(thm)],[f30,f27]) ).
fof(f32,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f31,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : CAT016-4 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n031.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 29 22:52:28 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 0.13/0.34 % Refutation found
% 0.13/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.35 % Elapsed time: 0.015675 seconds
% 0.20/0.35 % CPU time: 0.014840 seconds
% 0.20/0.35 % Total memory used: 3.507 MB
% 0.20/0.35 % Net memory used: 3.439 MB
%------------------------------------------------------------------------------