TSTP Solution File: CAT012-4 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CAT012-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:13:20 EDT 2024
% Result : Unsatisfiable 0.11s 0.36s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 20 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X] :
( ~ there_exists(domain(X))
| there_exists(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( ~ there_exists(compose(X,Y))
| domain(X) = codomain(Y) ),
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(domain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
codomain(domain(a)) != domain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f22,plain,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f25,plain,
! [X0] : compose(X0,domain(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f27,plain,
there_exists(domain(a)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f28,plain,
codomain(domain(a)) != domain(a),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f33,plain,
! [X0] :
( ~ there_exists(X0)
| domain(X0) = codomain(domain(X0)) ),
inference(paramodulation,[status(thm)],[f25,f22]) ).
fof(f41,plain,
! [X0] :
( domain(X0) = codomain(domain(X0))
| ~ there_exists(domain(X0)) ),
inference(resolution,[status(thm)],[f33,f18]) ).
fof(f64,plain,
domain(a) = codomain(domain(a)),
inference(resolution,[status(thm)],[f41,f27]) ).
fof(f65,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f64,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : CAT012-4 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.35 % Computer : n016.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Apr 29 22:52:10 EDT 2024
% 0.11/0.35 % CPUTime :
% 0.11/0.36 % Drodi V3.6.0
% 0.11/0.36 % Refutation found
% 0.11/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.37 % Elapsed time: 0.014897 seconds
% 0.11/0.37 % CPU time: 0.021366 seconds
% 0.11/0.37 % Total memory used: 8.221 MB
% 0.11/0.37 % Net memory used: 8.094 MB
%------------------------------------------------------------------------------