TSTP Solution File: SET001-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:33:27 EDT 2023
% Result : Unsatisfiable 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 14 (; 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Element,Subset,Superset] :
( ~ member(Element,Subset)
| ~ subset(Subset,Superset)
| member(Element,Superset) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [Subset,Superset] :
( ~ equal_sets(Subset,Superset)
| subset(Subset,Superset) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
equal_sets(b,bb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
member(element_of_b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ member(element_of_b,bb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [Element,Superset] :
( ! [Subset] :
( ~ member(Element,Subset)
| ~ subset(Subset,Superset) )
| member(Element,Superset) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| ~ subset(X1,X2)
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f14,plain,
! [X0,X1] :
( ~ equal_sets(X0,X1)
| subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f17,plain,
equal_sets(b,bb),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f18,plain,
member(element_of_b,b),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f19,plain,
~ member(element_of_b,bb),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
subset(b,bb),
inference(resolution,[status(thm)],[f14,f17]) ).
fof(f21,plain,
! [X0] :
( ~ member(X0,b)
| member(X0,bb) ),
inference(resolution,[status(thm)],[f20,f11]) ).
fof(f22,plain,
~ member(element_of_b,b),
inference(resolution,[status(thm)],[f21,f19]) ).
fof(f23,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f22,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n026.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 10:36:43 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.58 % Elapsed time: 0.016098 seconds
% 0.19/0.58 % CPU time: 0.014670 seconds
% 0.19/0.58 % Memory used: 478.456 KB
%------------------------------------------------------------------------------