TSTP Solution File: SET071-7 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET071-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:38:58 EDT 2024
% Result : Unsatisfiable 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 14 unt; 0 def)
% Number of atoms : 83 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 33 ~; 35 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [U,X,Y] :
( ~ member(U,unordered_pair(X,Y))
| U = X
| U = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,axiom,
! [X] :
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
unordered_pair(x,y) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,negated_conjecture,
~ member(y,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f116,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f120,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f124,plain,
! [U,Y] :
( ! [X] :
( ~ member(U,unordered_pair(X,Y))
| U = X )
| U = Y ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f124]) ).
fof(f190,plain,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f249,plain,
unordered_pair(x,y) != null_class,
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f250,plain,
~ member(x,universal_class),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f251,plain,
~ member(y,universal_class),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f300,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[status(thm)],[f117,f120]) ).
fof(f488,plain,
! [X0,X1] :
( unordered_pair(X0,X1) = null_class
| regular(unordered_pair(X0,X1)) = X0
| regular(unordered_pair(X0,X1)) = X1 ),
inference(resolution,[status(thm)],[f190,f125]) ).
fof(f695,plain,
( spl0_31
<=> regular(unordered_pair(x,y)) = x ),
introduced(split_symbol_definition) ).
fof(f696,plain,
( regular(unordered_pair(x,y)) = x
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f695]) ).
fof(f698,plain,
( spl0_32
<=> regular(unordered_pair(x,y)) = y ),
introduced(split_symbol_definition) ).
fof(f699,plain,
( regular(unordered_pair(x,y)) = y
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,plain,
( regular(unordered_pair(x,y)) = x
| regular(unordered_pair(x,y)) = y ),
inference(resolution,[status(thm)],[f488,f249]) ).
fof(f702,plain,
( spl0_31
| spl0_32 ),
inference(split_clause,[status(thm)],[f701,f695,f698]) ).
fof(f911,plain,
! [X0] : ~ member(y,X0),
inference(resolution,[status(thm)],[f300,f251]) ).
fof(f912,plain,
! [X0] : ~ member(x,X0),
inference(resolution,[status(thm)],[f300,f250]) ).
fof(f960,plain,
( spl0_49
<=> unordered_pair(x,y) = null_class ),
introduced(split_symbol_definition) ).
fof(f961,plain,
( unordered_pair(x,y) = null_class
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,plain,
( spl0_50
<=> member(x,unordered_pair(x,y)) ),
introduced(split_symbol_definition) ).
fof(f964,plain,
( member(x,unordered_pair(x,y))
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,plain,
( unordered_pair(x,y) = null_class
| member(x,unordered_pair(x,y))
| ~ spl0_31 ),
inference(paramodulation,[status(thm)],[f696,f190]) ).
fof(f967,plain,
( spl0_49
| spl0_50
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f966,f960,f963,f695]) ).
fof(f970,plain,
( $false
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f964,f912]) ).
fof(f971,plain,
~ spl0_50,
inference(contradiction_clause,[status(thm)],[f970]) ).
fof(f972,plain,
( $false
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f961,f249]) ).
fof(f973,plain,
~ spl0_49,
inference(contradiction_clause,[status(thm)],[f972]) ).
fof(f979,plain,
( spl0_52
<=> member(y,unordered_pair(x,y)) ),
introduced(split_symbol_definition) ).
fof(f980,plain,
( member(y,unordered_pair(x,y))
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,plain,
( unordered_pair(x,y) = null_class
| member(y,unordered_pair(x,y))
| ~ spl0_32 ),
inference(paramodulation,[status(thm)],[f699,f190]) ).
fof(f983,plain,
( spl0_49
| spl0_52
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f982,f960,f979,f698]) ).
fof(f984,plain,
( $false
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f980,f911]) ).
fof(f985,plain,
~ spl0_52,
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f986,plain,
$false,
inference(sat_refutation,[status(thm)],[f702,f967,f971,f973,f983,f985]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : SET071-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n026.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Mon Apr 29 21:49:49 EDT 2024
% 0.09/0.32 % CPUTime :
% 0.14/0.33 % Drodi V3.6.0
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.064055 seconds
% 0.14/0.40 % CPU time: 0.382918 seconds
% 0.14/0.40 % Total memory used: 65.909 MB
% 0.14/0.40 % Net memory used: 65.682 MB
%------------------------------------------------------------------------------