TSTP Solution File: SET085-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET085-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:33:56 EDT 2023
% Result : Unsatisfiable 0.21s 0.60s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 14 unt; 0 def)
% Number of atoms : 58 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 21 ~; 22 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 19 (; 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [U,X,Y] :
( ~ member(U,unordered_pair(X,Y))
| U = X
| U = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] :
( ~ member(X,universal_class)
| member(X,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
unordered_pair(y,z) = singleton(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
x != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f104,plain,
! [U,Y] :
( ! [X] :
( ~ member(U,unordered_pair(X,Y))
| U = X )
| U = Y ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f104]) ).
fof(f106,plain,
! [X] :
( ~ member(X,universal_class)
| ! [Y] : member(X,unordered_pair(X,Y)) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f107,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f106]) ).
fof(f111,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f201,plain,
unordered_pair(y,z) = singleton(x),
inference(cnf_transformation,[status(esa)],[f92]) ).
fof(f202,plain,
member(x,universal_class),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f203,plain,
x != y,
inference(cnf_transformation,[status(esa)],[f94]) ).
fof(f204,plain,
x != z,
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f208,plain,
! [X0] :
( ~ member(X0,singleton(x))
| X0 = y
| X0 = z ),
inference(paramodulation,[status(thm)],[f201,f105]) ).
fof(f221,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,singleton(X0)) ),
inference(paramodulation,[status(thm)],[f111,f107]) ).
fof(f231,plain,
( spl0_4
<=> x = y ),
introduced(split_symbol_definition) ).
fof(f232,plain,
( x = y
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( spl0_5
<=> x = z ),
introduced(split_symbol_definition) ).
fof(f235,plain,
( x = z
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( spl0_6
<=> member(x,universal_class) ),
introduced(split_symbol_definition) ).
fof(f239,plain,
( ~ member(x,universal_class)
| spl0_6 ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,plain,
( x = y
| x = z
| ~ member(x,universal_class) ),
inference(resolution,[status(thm)],[f208,f221]) ).
fof(f241,plain,
( spl0_4
| spl0_5
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f240,f231,f234,f237]) ).
fof(f242,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f239,f202]) ).
fof(f243,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f242]) ).
fof(f244,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f232,f203]) ).
fof(f245,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f244]) ).
fof(f246,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f235,f204]) ).
fof(f247,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f246]) ).
fof(f248,plain,
$false,
inference(sat_refutation,[status(thm)],[f241,f243,f245,f247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET085-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:11:35 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.5.1
% 0.21/0.60 % Refutation found
% 0.21/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.60 % Elapsed time: 0.029143 seconds
% 0.21/0.60 % CPU time: 0.026021 seconds
% 0.21/0.60 % Memory used: 3.789 MB
%------------------------------------------------------------------------------