TSTP Solution File: SET027-4 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET027-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:33:39 EDT 2023
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 17 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 21 (; 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f142,hypothesis,
subset(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f143,hypothesis,
subset(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f144,negated_conjecture,
~ subset(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f229,plain,
! [Y,U] :
( ! [X] :
( ~ subset(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f67]) ).
fof(f230,plain,
! [X0,X1,X2] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f229]) ).
fof(f231,plain,
! [X0,X1] :
( subset(X0,X1)
| member(f17(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f232,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(f17(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f322,plain,
subset(a,b),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f323,plain,
subset(b,c),
inference(cnf_transformation,[status(esa)],[f143]) ).
fof(f324,plain,
~ subset(a,c),
inference(cnf_transformation,[status(esa)],[f144]) ).
fof(f339,plain,
! [X0] :
( ~ member(X0,b)
| member(X0,c) ),
inference(resolution,[status(thm)],[f230,f323]) ).
fof(f340,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,b) ),
inference(resolution,[status(thm)],[f230,f322]) ).
fof(f704,plain,
! [X0] :
( subset(a,X0)
| member(f17(a,X0),b) ),
inference(resolution,[status(thm)],[f231,f340]) ).
fof(f869,plain,
! [X0] :
( subset(a,X0)
| member(f17(a,X0),c) ),
inference(resolution,[status(thm)],[f704,f339]) ).
fof(f889,plain,
( spl0_48
<=> subset(a,c) ),
introduced(split_symbol_definition) ).
fof(f890,plain,
( subset(a,c)
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,plain,
( subset(a,c)
| subset(a,c) ),
inference(resolution,[status(thm)],[f869,f232]) ).
fof(f893,plain,
spl0_48,
inference(split_clause,[status(thm)],[f892,f889]) ).
fof(f898,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f890,f324]) ).
fof(f899,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f898]) ).
fof(f900,plain,
$false,
inference(sat_refutation,[status(thm)],[f893,f899]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET027-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n002.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 10:36:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.039457 seconds
% 0.13/0.38 % CPU time: 0.093032 seconds
% 0.13/0.38 % Memory used: 16.017 MB
%------------------------------------------------------------------------------