TSTP Solution File: SET166-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET166-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 12:34:10 EDT 2023
% Result : Unsatisfiable 2.83s 0.75s
% Output : CNFRefutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 14 unt; 0 def)
% Number of atoms : 91 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 90 ( 45 ~; 40 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 37 (; 37 !; 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(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(f25,axiom,
! [Z,X] :
( ~ member(Z,universal_class)
| member(Z,complement(X))
| member(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] : complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
member(x,union(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
~ member(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,negated_conjecture,
~ member(x,z),
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(f147,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f148,plain,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f149,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f150,plain,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f247,plain,
member(x,union(y,z)),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f248,plain,
~ member(x,y),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f249,plain,
~ member(x,z),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f704,plain,
! [X0,X1,X2] :
( ~ member(X0,union(X1,X2))
| ~ member(X0,intersection(complement(X1),complement(X2))) ),
inference(paramodulation,[status(thm)],[f150,f148]) ).
fof(f745,plain,
( spl0_1
<=> member(x,universal_class) ),
introduced(split_symbol_definition) ).
fof(f747,plain,
( ~ member(x,universal_class)
| spl0_1 ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f756,plain,
! [X0] :
( ~ subclass(X0,universal_class)
| ~ member(x,X0)
| spl0_1 ),
inference(resolution,[status(thm)],[f747,f117]) ).
fof(f757,plain,
! [X0] :
( ~ member(x,X0)
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f756,f120]) ).
fof(f758,plain,
( $false
| spl0_1 ),
inference(backward_subsumption_resolution,[status(thm)],[f247,f757]) ).
fof(f759,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f758]) ).
fof(f1455,plain,
! [X0,X1,X2] :
( ~ member(X0,complement(X1))
| ~ member(X0,complement(X2))
| ~ member(X0,union(X1,X2)) ),
inference(resolution,[status(thm)],[f147,f704]) ).
fof(f2375,plain,
( spl0_87
<=> member(x,complement(y)) ),
introduced(split_symbol_definition) ).
fof(f2377,plain,
( ~ member(x,complement(y))
| spl0_87 ),
inference(component_clause,[status(thm)],[f2375]) ).
fof(f2378,plain,
( spl0_88
<=> member(x,complement(z)) ),
introduced(split_symbol_definition) ).
fof(f2380,plain,
( ~ member(x,complement(z))
| spl0_88 ),
inference(component_clause,[status(thm)],[f2378]) ).
fof(f2381,plain,
( ~ member(x,complement(y))
| ~ member(x,complement(z)) ),
inference(resolution,[status(thm)],[f1455,f247]) ).
fof(f2382,plain,
( ~ spl0_87
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f2381,f2375,f2378]) ).
fof(f2673,plain,
( spl0_99
<=> member(x,y) ),
introduced(split_symbol_definition) ).
fof(f2674,plain,
( member(x,y)
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f2673]) ).
fof(f2676,plain,
( ~ member(x,universal_class)
| member(x,y)
| spl0_87 ),
inference(resolution,[status(thm)],[f2377,f149]) ).
fof(f2677,plain,
( ~ spl0_1
| spl0_99
| spl0_87 ),
inference(split_clause,[status(thm)],[f2676,f745,f2673,f2375]) ).
fof(f2679,plain,
( $false
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f2674,f248]) ).
fof(f2680,plain,
~ spl0_99,
inference(contradiction_clause,[status(thm)],[f2679]) ).
fof(f2685,plain,
( spl0_100
<=> member(x,z) ),
introduced(split_symbol_definition) ).
fof(f2686,plain,
( member(x,z)
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f2685]) ).
fof(f2688,plain,
( ~ member(x,universal_class)
| member(x,z)
| spl0_88 ),
inference(resolution,[status(thm)],[f2380,f149]) ).
fof(f2689,plain,
( ~ spl0_1
| spl0_100
| spl0_88 ),
inference(split_clause,[status(thm)],[f2688,f745,f2685,f2378]) ).
fof(f2691,plain,
( $false
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f2686,f249]) ).
fof(f2692,plain,
~ spl0_100,
inference(contradiction_clause,[status(thm)],[f2691]) ).
fof(f2693,plain,
$false,
inference(sat_refutation,[status(thm)],[f759,f2382,f2677,f2680,f2689,f2692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET166-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n021.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 10:20:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 2.83/0.75 % Refutation found
% 2.83/0.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.83/0.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.12/0.78 % Elapsed time: 0.422000 seconds
% 3.12/0.78 % CPU time: 3.167906 seconds
% 3.12/0.78 % Memory used: 155.140 MB
%------------------------------------------------------------------------------