TSTP Solution File: SET497-6 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET497-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:39:45 EDT 2024
% Result : Unsatisfiable 9.09s 1.46s
% Output : CNFRefutation 9.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 56 ( 14 unt; 0 def)
% Number of atoms : 111 ( 33 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 97 ( 42 ~; 52 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 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(f9,axiom,
! [X,Y] :
( ~ member(X,universal_class)
| member(X,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [Z,X,Y] :
( ~ member(Z,X)
| ~ member(Z,Y)
| member(Z,intersection(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [Z,X] :
( ~ member(Z,complement(X))
| ~ member(Z,X) ),
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(f67,axiom,
! [X] :
( X = null_class
| intersection(X,regular(X)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
member(z,diagonalise(element_relation)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
member(z,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f119,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f123,plain,
! [U,Y] :
( ! [X] :
( ~ member(U,unordered_pair(X,Y))
| U = X )
| U = Y ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f125,plain,
! [X] :
( ~ member(X,universal_class)
| ! [Y] : member(X,unordered_pair(X,Y)) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f126,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f125]) ).
fof(f130,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f147,plain,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f189,plain,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f190,plain,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f246,plain,
member(z,diagonalise(element_relation)),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f247,plain,
member(z,z),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f254,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[status(thm)],[f116,f119]) ).
fof(f265,plain,
! [X0] :
( member(regular(X0),universal_class)
| X0 = null_class ),
inference(resolution,[status(thm)],[f254,f189]) ).
fof(f270,plain,
member(z,universal_class),
inference(resolution,[status(thm)],[f254,f246]) ).
fof(f318,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1
| X0 = X1 ),
inference(paramodulation,[status(thm)],[f130,f124]) ).
fof(f319,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(duplicate_literals_removal,[status(esa)],[f318]) ).
fof(f327,plain,
! [X0] : member(z,unordered_pair(z,X0)),
inference(resolution,[status(thm)],[f126,f270]) ).
fof(f348,plain,
member(z,singleton(z)),
inference(paramodulation,[status(thm)],[f130,f327]) ).
fof(f354,plain,
! [X0] :
( singleton(X0) = null_class
| regular(singleton(X0)) = X0 ),
inference(resolution,[status(thm)],[f189,f319]) ).
fof(f738,plain,
! [X0] :
( complement(X0) = null_class
| ~ member(regular(complement(X0)),X0) ),
inference(resolution,[status(thm)],[f189,f147]) ).
fof(f775,plain,
! [X0] :
( ~ member(z,X0)
| member(z,intersection(singleton(z),X0)) ),
inference(resolution,[status(thm)],[f146,f348]) ).
fof(f1855,plain,
( spl0_65
<=> member(z,null_class) ),
introduced(split_symbol_definition) ).
fof(f1856,plain,
( member(z,null_class)
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f1855]) ).
fof(f1969,plain,
member(z,intersection(singleton(z),z)),
inference(resolution,[status(thm)],[f775,f247]) ).
fof(f1987,plain,
( spl0_72
<=> singleton(z) = null_class ),
introduced(split_symbol_definition) ).
fof(f1988,plain,
( singleton(z) = null_class
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f1987]) ).
fof(f2007,plain,
! [X0] :
( singleton(X0) = null_class
| intersection(singleton(X0),X0) = null_class
| singleton(X0) = null_class ),
inference(paramodulation,[status(thm)],[f354,f190]) ).
fof(f2008,plain,
! [X0] :
( singleton(X0) = null_class
| intersection(singleton(X0),X0) = null_class ),
inference(duplicate_literals_removal,[status(esa)],[f2007]) ).
fof(f2175,plain,
( member(z,null_class)
| ~ spl0_72 ),
inference(backward_demodulation,[status(thm)],[f1988,f348]) ).
fof(f13688,plain,
( spl0_429
<=> complement(universal_class) = null_class ),
introduced(split_symbol_definition) ).
fof(f13689,plain,
( complement(universal_class) = null_class
| ~ spl0_429 ),
inference(component_clause,[status(thm)],[f13688]) ).
fof(f13691,plain,
( complement(universal_class) = null_class
| complement(universal_class) = null_class ),
inference(resolution,[status(thm)],[f738,f265]) ).
fof(f13692,plain,
spl0_429,
inference(split_clause,[status(thm)],[f13691,f13688]) ).
fof(f13722,plain,
( member(z,null_class)
| singleton(z) = null_class ),
inference(paramodulation,[status(thm)],[f2008,f1969]) ).
fof(f13723,plain,
( spl0_65
| spl0_72 ),
inference(split_clause,[status(thm)],[f13722,f1855,f1987]) ).
fof(f14476,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class)
| ~ spl0_429 ),
inference(paramodulation,[status(thm)],[f13689,f147]) ).
fof(f14477,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ spl0_429 ),
inference(forward_subsumption_resolution,[status(thm)],[f14476,f254]) ).
fof(f14478,plain,
( $false
| ~ spl0_429
| ~ spl0_72 ),
inference(backward_subsumption_resolution,[status(thm)],[f2175,f14477]) ).
fof(f14479,plain,
( ~ spl0_429
| ~ spl0_72 ),
inference(contradiction_clause,[status(thm)],[f14478]) ).
fof(f14485,plain,
( $false
| ~ spl0_429
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f1856,f14477]) ).
fof(f14486,plain,
( ~ spl0_429
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f14485]) ).
fof(f14487,plain,
$false,
inference(sat_refutation,[status(thm)],[f13692,f13723,f14479,f14486]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET497-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n005.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Mon Apr 29 21:22:11 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 9.09/1.46 % Refutation found
% 9.09/1.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.09/1.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.49/1.50 % Elapsed time: 1.219621 seconds
% 9.49/1.50 % CPU time: 9.511140 seconds
% 9.49/1.50 % Total memory used: 151.551 MB
% 9.49/1.50 % Net memory used: 144.402 MB
%------------------------------------------------------------------------------