TSTP Solution File: SET019-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET019-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:33:35 EDT 2023
% Result : Unsatisfiable 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 54 ( 14 unt; 0 def)
% Number of atoms : 105 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 83 ( 32 ~; 45 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 36 (; 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ member(X,Y)
| little_set(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( member(f1(X,Y),X)
| member(f1(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( ~ member(f1(X,Y),X)
| ~ member(f1(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,axiom,
member(empty_set,infinity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [X,Y,U] :
( ~ subset(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,axiom,
! [X,Y] :
( subset(X,Y)
| member(f17(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,axiom,
! [X,Y] :
( subset(X,Y)
| ~ member(f17(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f145,hypothesis,
subset(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f146,hypothesis,
subset(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f147,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f148,plain,
! [X] :
( ! [Y] : ~ member(X,Y)
| little_set(X) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f149,plain,
! [X0,X1] :
( ~ member(X0,X1)
| little_set(X0) ),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f151,plain,
! [X0,X1] :
( member(f1(X0,X1),X0)
| member(f1(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f152,plain,
! [X0,X1] :
( ~ member(f1(X0,X1),X0)
| ~ member(f1(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f225,plain,
member(empty_set,infinity),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f232,plain,
! [Y,U] :
( ! [X] :
( ~ subset(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f67]) ).
fof(f233,plain,
! [X0,X1,X2] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f232]) ).
fof(f234,plain,
! [X0,X1] :
( subset(X0,X1)
| member(f17(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f235,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(f17(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f331,plain,
subset(b,a),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f332,plain,
subset(a,b),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f333,plain,
a != b,
inference(cnf_transformation,[status(esa)],[f147]) ).
fof(f351,plain,
( spl0_1
<=> a = b ),
introduced(split_symbol_definition) ).
fof(f352,plain,
( a = b
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f361,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f352,f333]) ).
fof(f362,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f361]) ).
fof(f366,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,b) ),
inference(resolution,[status(thm)],[f233,f332]) ).
fof(f367,plain,
! [X0] :
( ~ member(X0,b)
| member(X0,a) ),
inference(resolution,[status(thm)],[f233,f331]) ).
fof(f368,plain,
! [X0] :
( member(f17(a,X0),b)
| subset(a,X0) ),
inference(resolution,[status(thm)],[f366,f234]) ).
fof(f369,plain,
( spl0_3
<=> subset(a,b) ),
introduced(split_symbol_definition) ).
fof(f372,plain,
( subset(a,b)
| subset(a,b) ),
inference(resolution,[status(thm)],[f368,f235]) ).
fof(f373,plain,
spl0_3,
inference(split_clause,[status(thm)],[f372,f369]) ).
fof(f376,plain,
! [X0] :
( member(f17(b,X0),a)
| subset(b,X0) ),
inference(resolution,[status(thm)],[f367,f234]) ).
fof(f377,plain,
( spl0_4
<=> subset(b,a) ),
introduced(split_symbol_definition) ).
fof(f380,plain,
( subset(b,a)
| subset(b,a) ),
inference(resolution,[status(thm)],[f376,f235]) ).
fof(f381,plain,
spl0_4,
inference(split_clause,[status(thm)],[f380,f377]) ).
fof(f406,plain,
( spl0_10
<=> little_set(empty_set) ),
introduced(split_symbol_definition) ).
fof(f408,plain,
( ~ little_set(empty_set)
| spl0_10 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f413,plain,
little_set(empty_set),
inference(resolution,[status(thm)],[f225,f149]) ).
fof(f414,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f413,f408]) ).
fof(f415,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f414]) ).
fof(f428,plain,
! [X0] :
( member(f1(b,X0),X0)
| b = X0
| member(f1(b,X0),a) ),
inference(resolution,[status(thm)],[f151,f367]) ).
fof(f467,plain,
( spl0_18
<=> member(f1(b,a),b) ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( member(f1(b,a),b)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( b = a
| member(f1(b,a),b) ),
inference(resolution,[status(thm)],[f428,f366]) ).
fof(f471,plain,
( spl0_1
| spl0_18 ),
inference(split_clause,[status(thm)],[f470,f351,f467]) ).
fof(f472,plain,
( spl0_19
<=> member(f1(b,a),a) ),
introduced(split_symbol_definition) ).
fof(f474,plain,
( ~ member(f1(b,a),a)
| spl0_19 ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f511,plain,
( ~ member(f1(b,a),a)
| b = a
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f468,f152]) ).
fof(f512,plain,
( ~ spl0_19
| spl0_1
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f511,f472,f351,f467]) ).
fof(f531,plain,
( member(f1(b,a),a)
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f367,f468]) ).
fof(f532,plain,
( $false
| spl0_19
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f531,f474]) ).
fof(f533,plain,
( spl0_19
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f532]) ).
fof(f534,plain,
$false,
inference(sat_refutation,[status(thm)],[f362,f373,f381,f415,f471,f512,f533]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET019-3 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:07:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.5.1
% 0.19/0.43 % Refutation found
% 0.19/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.45 % Elapsed time: 0.100107 seconds
% 0.19/0.45 % CPU time: 0.229358 seconds
% 0.19/0.45 % Memory used: 26.483 MB
%------------------------------------------------------------------------------