TSTP Solution File: SET019-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : 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 20:38:41 EDT 2024
% Result : Unsatisfiable 0.20s 0.46s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 62 ( 12 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 54 ( 22 ~; 29 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y] :
( member(f1(X,Y),X)
| member(f1(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( ~ member(f1(X,Y),X)
| ~ member(f1(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [X,Y,U] :
( ~ subset(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f145,hypothesis,
subset(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f146,hypothesis,
subset(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f147,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(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(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(f374,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,b) ),
inference(resolution,[status(thm)],[f233,f332]) ).
fof(f375,plain,
! [X0] :
( ~ member(X0,b)
| member(X0,a) ),
inference(resolution,[status(thm)],[f233,f331]) ).
fof(f384,plain,
! [X0] :
( member(f1(X0,a),b)
| member(f1(X0,a),X0)
| X0 = a ),
inference(resolution,[status(thm)],[f374,f151]) ).
fof(f418,plain,
( spl0_6
<=> b = a ),
introduced(split_symbol_definition) ).
fof(f419,plain,
( b = a
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( spl0_7
<=> member(f1(b,a),a) ),
introduced(split_symbol_definition) ).
fof(f422,plain,
( member(f1(b,a),a)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( b = a
| member(f1(b,a),a) ),
inference(resolution,[status(thm)],[f384,f375]) ).
fof(f425,plain,
( spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f424,f418,f421]) ).
fof(f435,plain,
( spl0_9
<=> member(f1(b,a),b) ),
introduced(split_symbol_definition) ).
fof(f455,plain,
( member(f1(b,a),b)
| b = a ),
inference(factoring,[status(esa)],[f384]) ).
fof(f456,plain,
( spl0_9
| spl0_6 ),
inference(split_clause,[status(thm)],[f455,f435,f418]) ).
fof(f457,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f419,f333]) ).
fof(f458,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f457]) ).
fof(f459,plain,
( ~ member(f1(b,a),b)
| b = a
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f422,f152]) ).
fof(f460,plain,
( ~ spl0_9
| spl0_6
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f459,f435,f418,f421]) ).
fof(f461,plain,
$false,
inference(sat_refutation,[status(thm)],[f425,f456,f458,f460]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET019-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n016.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 : Mon Apr 29 22:21:25 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.46 % Refutation found
% 0.20/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.46 % Elapsed time: 0.109390 seconds
% 0.20/0.46 % CPU time: 0.722000 seconds
% 0.20/0.46 % Total memory used: 71.786 MB
% 0.20/0.46 % Net memory used: 71.007 MB
%------------------------------------------------------------------------------