TSTP Solution File: SET003-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET003-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:33:28 EDT 2023
% Result : Unsatisfiable 0.09s 0.34s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 16 ~; 16 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 25 (; 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [Subset,Superset] :
( subset(Subset,Superset)
| member(member_of_1_not_of_2(Subset,Superset),Subset) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [Subset,Superset] :
( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)
| subset(Subset,Superset) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [Set1,Set2,Union,Element] :
( ~ union(Set1,Set2,Union)
| ~ member(Element,Set1)
| member(Element,Union) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
union(a,a,aUa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
~ subset(a,aUa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0,X1] :
( subset(X0,X1)
| member(member_of_1_not_of_2(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f18,plain,
! [X0,X1] :
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f24,plain,
! [Union,Element] :
( ! [Set1] :
( ! [Set2] : ~ union(Set1,Set2,Union)
| ~ member(Element,Set1) )
| member(Element,Union) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ~ union(X0,X1,X2)
| ~ member(X3,X0)
| member(X3,X2) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f31,plain,
union(a,a,aUa),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f32,plain,
~ subset(a,aUa),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ~ union(X0,X1,X2)
| ~ member(member_of_1_not_of_2(X3,X2),X0)
| subset(X3,X2) ),
inference(resolution,[status(thm)],[f25,f18]) ).
fof(f43,plain,
! [X0] :
( ~ member(member_of_1_not_of_2(X0,aUa),a)
| subset(X0,aUa) ),
inference(resolution,[status(thm)],[f41,f31]) ).
fof(f44,plain,
( spl0_0
<=> subset(a,aUa) ),
introduced(split_symbol_definition) ).
fof(f45,plain,
( subset(a,aUa)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f44]) ).
fof(f47,plain,
( subset(a,aUa)
| subset(a,aUa) ),
inference(resolution,[status(thm)],[f43,f17]) ).
fof(f48,plain,
spl0_0,
inference(split_clause,[status(thm)],[f47,f44]) ).
fof(f52,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f45,f32]) ).
fof(f53,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f52]) ).
fof(f54,plain,
$false,
inference(sat_refutation,[status(thm)],[f48,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n032.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 10:16:16 EDT 2023
% 0.09/0.33 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 0.09/0.34 % Refutation found
% 0.09/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.56 % Elapsed time: 0.013816 seconds
% 0.14/0.56 % CPU time: 0.009291 seconds
% 0.14/0.56 % Memory used: 502.222 KB
%------------------------------------------------------------------------------