TSTP Solution File: SET201-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET201-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : Wed May 31 12:34:16 EDT 2023
% Result : Unsatisfiable 67.10s 8.84s
% Output : CNFRefutation 67.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 60 ( 13 unt; 0 def)
% Number of atoms : 127 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 124 ( 57 ~; 63 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 84 (; 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] :
( X != Y
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [Z,X,Y] :
( ~ member(Z,X)
| ~ member(Z,Y)
| member(Z,intersection(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
subclass(z,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,negated_conjecture,
~ subclass(intersection(x,z),intersection(y,w)),
file('/export/starexec/sandbox2/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(f118,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f119,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f121,plain,
! [X0,X1] :
( X0 != X1
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f143,plain,
! [Z,X] :
( ! [Y] : ~ member(Z,intersection(X,Y))
| member(Z,X) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f143]) ).
fof(f145,plain,
! [Z,Y] :
( ! [X] : ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f247,plain,
subclass(x,y),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f248,plain,
subclass(z,w),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f249,plain,
~ subclass(intersection(x,z),intersection(y,w)),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f250,plain,
! [X0] : subclass(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f121]) ).
fof(f257,plain,
! [X0,X1,X2,X3] :
( ~ subclass(X0,X1)
| member(X2,X1)
| ~ subclass(X3,X0)
| ~ member(X2,X3) ),
inference(resolution,[status(thm)],[f117,f117]) ).
fof(f304,plain,
! [X0,X1,X2] :
( subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X2) ),
inference(resolution,[status(thm)],[f119,f147]) ).
fof(f305,plain,
! [X0,X1,X2,X3] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ subclass(X3,X2)
| ~ member(not_subclass_element(X0,X1),X3) ),
inference(resolution,[status(thm)],[f119,f257]) ).
fof(f372,plain,
! [X0,X1,X2] :
( subclass(intersection(X0,X1),X2)
| member(not_subclass_element(intersection(X0,X1),X2),X1) ),
inference(resolution,[status(thm)],[f118,f146]) ).
fof(f375,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| ~ subclass(X0,X2)
| member(not_subclass_element(X0,X1),X2) ),
inference(resolution,[status(thm)],[f118,f117]) ).
fof(f736,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[status(thm)],[f305,f118]) ).
fof(f737,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ subclass(X0,X2) ),
inference(duplicate_literals_removal,[status(esa)],[f736]) ).
fof(f762,plain,
! [X0] :
( subclass(X0,y)
| ~ subclass(X0,x) ),
inference(resolution,[status(thm)],[f737,f247]) ).
fof(f1059,plain,
( spl0_99
<=> member(not_subclass_element(intersection(x,z),intersection(y,w)),y) ),
introduced(split_symbol_definition) ).
fof(f1061,plain,
( ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),y)
| spl0_99 ),
inference(component_clause,[status(thm)],[f1059]) ).
fof(f1062,plain,
( spl0_100
<=> member(not_subclass_element(intersection(x,z),intersection(y,w)),w) ),
introduced(split_symbol_definition) ).
fof(f1064,plain,
( ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),w)
| spl0_100 ),
inference(component_clause,[status(thm)],[f1062]) ).
fof(f1065,plain,
( ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),y)
| ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),w) ),
inference(resolution,[status(thm)],[f304,f249]) ).
fof(f1066,plain,
( ~ spl0_99
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f1065,f1059,f1062]) ).
fof(f1623,plain,
! [X0] :
( ~ subclass(X0,y)
| ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),X0)
| spl0_99 ),
inference(resolution,[status(thm)],[f1061,f117]) ).
fof(f2454,plain,
member(not_subclass_element(intersection(x,z),intersection(y,w)),z),
inference(resolution,[status(thm)],[f372,f249]) ).
fof(f2689,plain,
( spl0_152
<=> subclass(intersection(x,z),y) ),
introduced(split_symbol_definition) ).
fof(f2691,plain,
( ~ subclass(intersection(x,z),y)
| spl0_152 ),
inference(component_clause,[status(thm)],[f2689]) ).
fof(f2692,plain,
( spl0_153
<=> subclass(intersection(x,z),intersection(y,w)) ),
introduced(split_symbol_definition) ).
fof(f2693,plain,
( subclass(intersection(x,z),intersection(y,w))
| ~ spl0_153 ),
inference(component_clause,[status(thm)],[f2692]) ).
fof(f2695,plain,
( ~ subclass(intersection(x,z),y)
| subclass(intersection(x,z),intersection(y,w))
| spl0_99 ),
inference(resolution,[status(thm)],[f1623,f118]) ).
fof(f2696,plain,
( ~ spl0_152
| spl0_153
| spl0_99 ),
inference(split_clause,[status(thm)],[f2695,f2689,f2692,f1059]) ).
fof(f2917,plain,
( $false
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[status(thm)],[f249,f2693]) ).
fof(f2918,plain,
~ spl0_153,
inference(contradiction_clause,[status(thm)],[f2917]) ).
fof(f3026,plain,
! [X0] :
( ~ subclass(X0,w)
| ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),X0)
| spl0_100 ),
inference(resolution,[status(thm)],[f1064,f117]) ).
fof(f3258,plain,
! [X0,X1,X2,X3] :
( subclass(X0,X1)
| ~ subclass(X0,intersection(X2,X3))
| member(not_subclass_element(X0,X1),X2) ),
inference(resolution,[status(thm)],[f375,f144]) ).
fof(f4748,plain,
( ~ subclass(intersection(x,z),x)
| spl0_152 ),
inference(resolution,[status(thm)],[f2691,f762]) ).
fof(f5249,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| ~ subclass(X0,intersection(X1,X2))
| subclass(X0,X1) ),
inference(resolution,[status(thm)],[f3258,f119]) ).
fof(f5250,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| ~ subclass(X0,intersection(X1,X2)) ),
inference(duplicate_literals_removal,[status(esa)],[f5249]) ).
fof(f5264,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(resolution,[status(thm)],[f5250,f250]) ).
fof(f5268,plain,
( $false
| spl0_152 ),
inference(backward_subsumption_resolution,[status(thm)],[f4748,f5264]) ).
fof(f5269,plain,
spl0_152,
inference(contradiction_clause,[status(thm)],[f5268]) ).
fof(f7694,plain,
( ~ subclass(z,w)
| spl0_100 ),
inference(resolution,[status(thm)],[f2454,f3026]) ).
fof(f7695,plain,
( $false
| spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f7694,f248]) ).
fof(f7696,plain,
spl0_100,
inference(contradiction_clause,[status(thm)],[f7695]) ).
fof(f7697,plain,
$false,
inference(sat_refutation,[status(thm)],[f1066,f2696,f2918,f5269,f7696]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET201-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n016.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 : Tue May 30 10:42:44 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 67.10/8.84 % Refutation found
% 67.10/8.84 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 67.10/8.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 67.52/8.92 % Elapsed time: 8.579829 seconds
% 67.52/8.92 % CPU time: 67.587632 seconds
% 67.52/8.92 % Memory used: 332.642 MB
%------------------------------------------------------------------------------