TMTP Model File: SET781-1.002-FMo
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- Process Model
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : SET781-1 : TPTP v6.2.0. Released v2.5.0.
% Transform : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n071.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-573.1.1.el6.x86_64
% CPULimit : 300s
% DateTime : Wed Aug 5 05:45:10 EDT 2015
% Result : Satisfiable 0.01s
% Output : FiniteModel 0.01s
% Verified :
% Statistics : Number of formulae : 10 ( 10 expanded)
% Number of leaves : 10 ( 10 expanded)
% Depth : 0
% Number of atoms : 43 ( 43 expanded)
% Number of equality atoms : 17 ( 17 expanded)
% Maximal formula depth : 5 ( 4 average)
% Maximal term depth : 2 ( 1 average)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Paradox---4.0 format not known, defaulting to TPTP
% domain size is 2
fof(domain,fi_domain,(
! [X] :
( X = "1"
| X = "2" ) )).
fof(complement,fi_functors,
( complement("1") = "2"
& complement("2") = "1" )).
fof(empty_set,fi_functors,(
empty_set = "1" )).
fof(equal_elements,fi_predicates,(
! [X1,X2] :
( equal_elements(X1,X2)
<=> $true ) )).
fof(equal_sets,fi_predicates,
( ( equal_sets("1","1")
<=> $true )
& ( equal_sets("1","2")
<=> $false )
& ( equal_sets("2","1")
<=> $false )
& ( equal_sets("2","2")
<=> $true ) )).
fof(intersection,fi_functors,
( intersection("1","1") = "1"
& intersection("1","2") = "1"
& intersection("2","1") = "1"
& intersection("2","2") = "2" )).
fof(member,fi_predicates,
( ( member("1","1")
<=> $false )
& ( member("1","2")
<=> $true )
& ( member("2","1")
<=> $false )
& ( member("2","2")
<=> $true ) )).
fof(member_of_1_not_of_2,fi_functors,
( member_of_1_not_of_2("1","1") = "1"
& member_of_1_not_of_2("1","2") = "1"
& member_of_1_not_of_2("2","1") = "1"
& member_of_1_not_of_2("2","2") = "1" )).
fof(subset,fi_predicates,
( ( subset("1","1")
<=> $true )
& ( subset("1","2")
<=> $true )
& ( subset("2","1")
<=> $false )
& ( subset("2","2")
<=> $true ) )).
fof(union,fi_functors,
( union("1","1") = "1"
& union("1","2") = "2"
& union("2","1") = "2"
& union("2","2") = "2" )).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET781-1 : TPTP v6.2.0. Released v2.5.0.
% 0.00/0.02 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.01/1.05 % Computer : n071.star.cs.uiowa.edu
% 0.01/1.05 % Model : x86_64 x86_64
% 0.01/1.05 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.01/1.05 % Memory : 32286.75MB
% 0.01/1.05 % OS : Linux 2.6.32-573.1.1.el6.x86_64
% 0.01/1.05 % CPULimit : 300
% 0.01/1.05 % DateTime : Mon Aug 3 17:45:41 CDT 2015
% 0.01/1.05 % CPUTime :
% 0.01/1.06 Paradox, version 4.0, 2010-06-29.
% 0.01/1.06 +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.01/1.06 Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.01/1.06 Reading 'Axioms/SET002-0.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax') OK
% 0.01/1.06 +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.01/1.07 +++ BEGIN MODEL
% 0.01/1.07 SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.01/1.07 % domain size is 2
% 0.01/1.07 fof(domain, fi_domain,
% 0.01/1.07 (![X] : (X = "1" | X = "2"))
% 0.01/1.07 ).
% 0.01/1.07
% 0.01/1.07 fof(complement, fi_functors,
% 0.01/1.07 ( (complement("1") = "2")
% 0.01/1.07 & (complement("2") = "1")
% 0.01/1.07 )
% 0.01/1.07 ).
% 0.01/1.07
% 0.01/1.07 fof(empty_set, fi_functors,
% 0.01/1.07 ( (empty_set = "1")
% 0.01/1.07 )
% 0.01/1.07 ).
% 0.01/1.07
% 0.01/1.07 fof(equal_elements, fi_predicates,
% 0.01/1.07 ( ![X1,X2] : (equal_elements(X1,X2) <=> $true)
% 0.01/1.07 )
% 0.01/1.07 ).
% 0.01/1.07
% 0.01/1.07 fof(equal_sets, fi_predicates,
% 0.01/1.07 ( (equal_sets("1","1") <=> $true)
% 0.01/1.07 & (equal_sets("1","2") <=> $false)
% 0.01/1.07 & (equal_sets("2","1") <=> $false)
% 0.01/1.07 & (equal_sets("2","2") <=> $true)
% 0.01/1.07 )
% 0.01/1.07 ).
% 0.01/1.07
% 0.01/1.07 fof(intersection, fi_functors,
% 0.01/1.07 ( (intersection("1","1") = "1")
% 0.01/1.07 & (intersection("1","2") = "1")
% 0.01/1.07 & (intersection("2","1") = "1")
% 0.01/1.07 & (intersection("2","2") = "2")
% 0.01/1.07 )
% 0.01/1.07 ).
% 0.01/1.07
% 0.01/1.07 fof(member, fi_predicates,
% 0.01/1.07 ( (member("1","1") <=> $false)
% 0.01/1.07 & (member("1","2") <=> $true)
% 0.01/1.07 & (member("2","1") <=> $false)
% 0.01/1.07 & (member("2","2") <=> $true)
% 0.01/1.07 )
% 0.01/1.07 ).
% 0.01/1.07
% 0.01/1.07 fof(member_of_1_not_of_2, fi_functors,
% 0.01/1.07 ( (member_of_1_not_of_2("1","1") = "1")
% 0.01/1.07 & (member_of_1_not_of_2("1","2") = "1")
% 0.01/1.07 & (member_of_1_not_of_2("2","1") = "1")
% 0.01/1.07 & (member_of_1_not_of_2("2","2") = "1")
% 0.01/1.07 )
% 0.01/1.07 ).
% 0.01/1.07
% 0.01/1.07 fof(subset, fi_predicates,
% 0.01/1.07 ( (subset("1","1") <=> $true)
% 0.01/1.07 & (subset("1","2") <=> $true)
% 0.01/1.07 & (subset("2","1") <=> $false)
% 0.01/1.07 & (subset("2","2") <=> $true)
% 0.01/1.07 )
% 0.01/1.07 ).
% 0.01/1.07
% 0.01/1.07 fof(union, fi_functors,
% 0.01/1.07 ( (union("1","1") = "1")
% 0.01/1.07 & (union("1","2") = "2")
% 0.01/1.07 & (union("2","1") = "2")
% 0.01/1.07 & (union("2","2") = "2")
% 0.01/1.07 )
% 0.01/1.07 ).
% 0.01/1.07 SZS output end FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.01/1.07 +++ END MODEL
% 0.01/1.07 +++ RESULT: Satisfiable
% 0.01/1.07 SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------