TSTP Solution File: PUZ020-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : PUZ020-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 12:31:48 EDT 2023
% Result : Unsatisfiable 0.13s 0.53s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 18 ~; 19 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 2 (; 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X] :
( ~ person(X)
| ~ a_truth(statement_by(X))
| knight(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
person(husband),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
( a_truth(statement_by(husband))
| knight(wife) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
( ~ knight(wife)
| a_truth(statement_by(husband)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ knight(husband),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,plain,
! [X0] :
( ~ person(X0)
| ~ a_truth(statement_by(X0))
| knight(X0) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f34,plain,
person(husband),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f40,plain,
( a_truth(statement_by(husband))
| knight(wife) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f41,plain,
( ~ knight(wife)
| a_truth(statement_by(husband)) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f42,plain,
~ knight(husband),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f43,plain,
( spl0_0
<=> a_truth(statement_by(husband)) ),
introduced(split_symbol_definition) ).
fof(f44,plain,
( a_truth(statement_by(husband))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,plain,
( spl0_1
<=> knight(husband) ),
introduced(split_symbol_definition) ).
fof(f47,plain,
( knight(husband)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,plain,
( spl0_2
<=> knight(wife) ),
introduced(split_symbol_definition) ).
fof(f54,plain,
( spl0_0
| spl0_2 ),
inference(split_clause,[status(thm)],[f40,f43,f49]) ).
fof(f55,plain,
( ~ spl0_2
| spl0_0 ),
inference(split_clause,[status(thm)],[f41,f49,f43]) ).
fof(f62,plain,
( spl0_3
<=> person(husband) ),
introduced(split_symbol_definition) ).
fof(f64,plain,
( ~ person(husband)
| spl0_3 ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f70,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f64,f34]) ).
fof(f71,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f70]) ).
fof(f72,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f47,f42]) ).
fof(f73,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f72]) ).
fof(f74,plain,
( ~ person(husband)
| knight(husband)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f44,f28]) ).
fof(f75,plain,
( ~ spl0_3
| spl0_1
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f74,f62,f46,f43]) ).
fof(f77,plain,
$false,
inference(sat_refutation,[status(thm)],[f54,f55,f71,f73,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : PUZ020-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30 % Computer : n010.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Tue May 30 10:21:37 EDT 2023
% 0.13/0.30 % CPUTime :
% 0.13/0.31 % Drodi V3.5.1
% 0.13/0.53 % Refutation found
% 0.13/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.53 % Elapsed time: 0.009476 seconds
% 0.13/0.53 % CPU time: 0.010314 seconds
% 0.13/0.53 % Memory used: 2.879 MB
%------------------------------------------------------------------------------