TSTP Solution File: GRA015+1 by Paradox---4.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : GRA015+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n017.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 : 600s
% DateTime : Sat Jul 16 07:21:00 EDT 2022
% Result : CounterSatisfiable 0.19s 0.40s
% Output : FiniteModel 0.19s
% Verified :
% SZS Type : FiniteModel
% Domain size : 11
% Comments :
%------------------------------------------------------------------------------
% domain size is 11
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2"
| X = "3"
| X = "4"
| X = "5"
| X = "6"
| X = "7"
| X = "8"
| X = "9"
| X = "10"
| X = "11" ) ).
fof(goal,fi_predicates,
( goal
<=> $false ) ).
fof(green,fi_predicates,
( ( green("1","1")
<=> $false )
& ( green("1","2")
<=> $true )
& ( green("1","3")
<=> $false )
& ( green("1","4")
<=> $true )
& ( green("1","5")
<=> $false )
& ( green("1","6")
<=> $true )
& ( green("1","7")
<=> $false )
& ( green("1","8")
<=> $true )
& ( green("1","9")
<=> $true )
& ( green("1","10")
<=> $true )
& ( green("1","11")
<=> $false )
& ( green("2","1")
<=> $false )
& ( green("2","2")
<=> $false )
& ( green("2","3")
<=> $true )
& ( green("2","4")
<=> $false )
& ( green("2","5")
<=> $false )
& ( green("2","6")
<=> $false )
& ( green("2","7")
<=> $false )
& ( green("2","8")
<=> $false )
& ( green("2","9")
<=> $false )
& ( green("2","10")
<=> $true )
& ( green("2","11")
<=> $true )
& ( green("3","1")
<=> $false )
& ( green("3","2")
<=> $false )
& ( green("3","3")
<=> $false )
& ( green("3","4")
<=> $true )
& ( green("3","5")
<=> $true )
& ( green("3","6")
<=> $true )
& ( green("3","7")
<=> $true )
& ( green("3","8")
<=> $false )
& ( green("3","9")
<=> $false )
& ( green("3","10")
<=> $true )
& ( green("3","11")
<=> $false )
& ( green("4","1")
<=> $false )
& ( green("4","2")
<=> $false )
& ( green("4","3")
<=> $false )
& ( green("4","4")
<=> $false )
& ( green("4","5")
<=> $false )
& ( green("4","6")
<=> $false )
& ( green("4","7")
<=> $true )
& ( green("4","8")
<=> $false )
& ( green("4","9")
<=> $true )
& ( green("4","10")
<=> $true )
& ( green("4","11")
<=> $false )
& ( green("5","1")
<=> $false )
& ( green("5","2")
<=> $false )
& ( green("5","3")
<=> $false )
& ( green("5","4")
<=> $false )
& ( green("5","5")
<=> $false )
& ( green("5","6")
<=> $true )
& ( green("5","7")
<=> $true )
& ( green("5","8")
<=> $true )
& ( green("5","9")
<=> $false )
& ( green("5","10")
<=> $true )
& ( green("5","11")
<=> $false )
& ( green("6","1")
<=> $false )
& ( green("6","2")
<=> $false )
& ( green("6","3")
<=> $false )
& ( green("6","4")
<=> $false )
& ( green("6","5")
<=> $false )
& ( green("6","6")
<=> $false )
& ( green("6","7")
<=> $false )
& ( green("6","8")
<=> $true )
& ( green("6","9")
<=> $false )
& ( green("6","10")
<=> $false )
& ( green("6","11")
<=> $false )
& ( green("7","1")
<=> $false )
& ( green("7","2")
<=> $false )
& ( green("7","3")
<=> $false )
& ( green("7","4")
<=> $false )
& ( green("7","5")
<=> $false )
& ( green("7","6")
<=> $false )
& ( green("7","7")
<=> $false )
& ( green("7","8")
<=> $true )
& ( green("7","9")
<=> $true )
& ( green("7","10")
<=> $false )
& ( green("7","11")
<=> $false )
& ( green("8","1")
<=> $false )
& ( green("8","2")
<=> $false )
& ( green("8","3")
<=> $false )
& ( green("8","4")
<=> $false )
& ( green("8","5")
<=> $false )
& ( green("8","6")
<=> $false )
& ( green("8","7")
<=> $false )
& ( green("8","8")
<=> $false )
& ( green("8","9")
<=> $true )
& ( green("8","10")
<=> $false )
& ( green("8","11")
<=> $false )
& ( green("9","1")
<=> $false )
& ( green("9","2")
<=> $false )
& ( green("9","3")
<=> $false )
& ( green("9","4")
<=> $false )
& ( green("9","5")
<=> $false )
& ( green("9","6")
<=> $false )
& ( green("9","7")
<=> $false )
& ( green("9","8")
<=> $false )
& ( green("9","9")
<=> $false )
& ( green("9","10")
<=> $false )
& ( green("9","11")
<=> $false )
& ( green("10","1")
<=> $false )
& ( green("10","2")
<=> $false )
& ( green("10","3")
<=> $false )
& ( green("10","4")
<=> $false )
& ( green("10","5")
<=> $false )
& ( green("10","6")
<=> $false )
& ( green("10","7")
<=> $false )
& ( green("10","8")
<=> $false )
& ( green("10","9")
<=> $false )
& ( green("10","10")
<=> $false )
& ( green("10","11")
<=> $true )
& ( green("11","1")
<=> $false )
& ( green("11","2")
<=> $false )
& ( green("11","3")
<=> $false )
& ( green("11","4")
<=> $false )
& ( green("11","5")
<=> $false )
& ( green("11","6")
<=> $false )
& ( green("11","7")
<=> $false )
& ( green("11","8")
<=> $false )
& ( green("11","9")
<=> $false )
& ( green("11","10")
<=> $false )
& ( green("11","11")
<=> $false ) ) ).
fof(less_than,fi_predicates,
( ( less_than("1","1")
<=> $false )
& ( less_than("1","2")
<=> $true )
& ( less_than("1","3")
<=> $true )
& ( less_than("1","4")
<=> $true )
& ( less_than("1","5")
<=> $true )
& ( less_than("1","6")
<=> $true )
& ( less_than("1","7")
<=> $true )
& ( less_than("1","8")
<=> $true )
& ( less_than("1","9")
<=> $true )
& ( less_than("1","10")
<=> $true )
& ( less_than("1","11")
<=> $true )
& ( less_than("2","1")
<=> $false )
& ( less_than("2","2")
<=> $false )
& ( less_than("2","3")
<=> $true )
& ( less_than("2","4")
<=> $true )
& ( less_than("2","5")
<=> $true )
& ( less_than("2","6")
<=> $true )
& ( less_than("2","7")
<=> $true )
& ( less_than("2","8")
<=> $true )
& ( less_than("2","9")
<=> $true )
& ( less_than("2","10")
<=> $true )
& ( less_than("2","11")
<=> $true )
& ( less_than("3","1")
<=> $false )
& ( less_than("3","2")
<=> $false )
& ( less_than("3","3")
<=> $false )
& ( less_than("3","4")
<=> $true )
& ( less_than("3","5")
<=> $true )
& ( less_than("3","6")
<=> $true )
& ( less_than("3","7")
<=> $true )
& ( less_than("3","8")
<=> $true )
& ( less_than("3","9")
<=> $true )
& ( less_than("3","10")
<=> $true )
& ( less_than("3","11")
<=> $true )
& ( less_than("4","1")
<=> $false )
& ( less_than("4","2")
<=> $false )
& ( less_than("4","3")
<=> $false )
& ( less_than("4","4")
<=> $false )
& ( less_than("4","5")
<=> $true )
& ( less_than("4","6")
<=> $true )
& ( less_than("4","7")
<=> $true )
& ( less_than("4","8")
<=> $true )
& ( less_than("4","9")
<=> $true )
& ( less_than("4","10")
<=> $true )
& ( less_than("4","11")
<=> $true )
& ( less_than("5","1")
<=> $false )
& ( less_than("5","2")
<=> $false )
& ( less_than("5","3")
<=> $false )
& ( less_than("5","4")
<=> $false )
& ( less_than("5","5")
<=> $false )
& ( less_than("5","6")
<=> $true )
& ( less_than("5","7")
<=> $true )
& ( less_than("5","8")
<=> $true )
& ( less_than("5","9")
<=> $true )
& ( less_than("5","10")
<=> $true )
& ( less_than("5","11")
<=> $true )
& ( less_than("6","1")
<=> $false )
& ( less_than("6","2")
<=> $false )
& ( less_than("6","3")
<=> $false )
& ( less_than("6","4")
<=> $false )
& ( less_than("6","5")
<=> $false )
& ( less_than("6","6")
<=> $false )
& ( less_than("6","7")
<=> $true )
& ( less_than("6","8")
<=> $true )
& ( less_than("6","9")
<=> $true )
& ( less_than("6","10")
<=> $true )
& ( less_than("6","11")
<=> $true )
& ( less_than("7","1")
<=> $false )
& ( less_than("7","2")
<=> $false )
& ( less_than("7","3")
<=> $false )
& ( less_than("7","4")
<=> $false )
& ( less_than("7","5")
<=> $false )
& ( less_than("7","6")
<=> $false )
& ( less_than("7","7")
<=> $false )
& ( less_than("7","8")
<=> $true )
& ( less_than("7","9")
<=> $true )
& ( less_than("7","10")
<=> $true )
& ( less_than("7","11")
<=> $true )
& ( less_than("8","1")
<=> $false )
& ( less_than("8","2")
<=> $false )
& ( less_than("8","3")
<=> $false )
& ( less_than("8","4")
<=> $false )
& ( less_than("8","5")
<=> $false )
& ( less_than("8","6")
<=> $false )
& ( less_than("8","7")
<=> $false )
& ( less_than("8","8")
<=> $false )
& ( less_than("8","9")
<=> $true )
& ( less_than("8","10")
<=> $true )
& ( less_than("8","11")
<=> $true )
& ( less_than("9","1")
<=> $false )
& ( less_than("9","2")
<=> $false )
& ( less_than("9","3")
<=> $false )
& ( less_than("9","4")
<=> $false )
& ( less_than("9","5")
<=> $false )
& ( less_than("9","6")
<=> $false )
& ( less_than("9","7")
<=> $false )
& ( less_than("9","8")
<=> $false )
& ( less_than("9","9")
<=> $false )
& ( less_than("9","10")
<=> $true )
& ( less_than("9","11")
<=> $true )
& ( less_than("10","1")
<=> $false )
& ( less_than("10","2")
<=> $false )
& ( less_than("10","3")
<=> $false )
& ( less_than("10","4")
<=> $false )
& ( less_than("10","5")
<=> $false )
& ( less_than("10","6")
<=> $false )
& ( less_than("10","7")
<=> $false )
& ( less_than("10","8")
<=> $false )
& ( less_than("10","9")
<=> $false )
& ( less_than("10","10")
<=> $false )
& ( less_than("10","11")
<=> $true )
& ( less_than("11","1")
<=> $false )
& ( less_than("11","2")
<=> $false )
& ( less_than("11","3")
<=> $false )
& ( less_than("11","4")
<=> $false )
& ( less_than("11","5")
<=> $false )
& ( less_than("11","6")
<=> $false )
& ( less_than("11","7")
<=> $false )
& ( less_than("11","8")
<=> $false )
& ( less_than("11","9")
<=> $false )
& ( less_than("11","10")
<=> $false )
& ( less_than("11","11")
<=> $false ) ) ).
fof(n1,fi_functors,
n1 = "1" ).
fof(n10,fi_functors,
n10 = "10" ).
fof(n11,fi_functors,
n11 = "11" ).
fof(n2,fi_functors,
n2 = "2" ).
fof(n3,fi_functors,
n3 = "3" ).
fof(n4,fi_functors,
n4 = "4" ).
fof(n5,fi_functors,
n5 = "5" ).
fof(n6,fi_functors,
n6 = "6" ).
fof(n7,fi_functors,
n7 = "7" ).
fof(n8,fi_functors,
n8 = "8" ).
fof(n9,fi_functors,
n9 = "9" ).
fof(red,fi_predicates,
( ( red("1","1")
<=> $false )
& ( red("1","2")
<=> $false )
& ( red("1","3")
<=> $true )
& ( red("1","4")
<=> $false )
& ( red("1","5")
<=> $true )
& ( red("1","6")
<=> $false )
& ( red("1","7")
<=> $true )
& ( red("1","8")
<=> $false )
& ( red("1","9")
<=> $false )
& ( red("1","10")
<=> $false )
& ( red("1","11")
<=> $true )
& ( red("2","1")
<=> $false )
& ( red("2","2")
<=> $false )
& ( red("2","3")
<=> $false )
& ( red("2","4")
<=> $true )
& ( red("2","5")
<=> $true )
& ( red("2","6")
<=> $true )
& ( red("2","7")
<=> $true )
& ( red("2","8")
<=> $true )
& ( red("2","9")
<=> $true )
& ( red("2","10")
<=> $false )
& ( red("2","11")
<=> $false )
& ( red("3","1")
<=> $false )
& ( red("3","2")
<=> $false )
& ( red("3","3")
<=> $false )
& ( red("3","4")
<=> $false )
& ( red("3","5")
<=> $false )
& ( red("3","6")
<=> $false )
& ( red("3","7")
<=> $false )
& ( red("3","8")
<=> $true )
& ( red("3","9")
<=> $true )
& ( red("3","10")
<=> $false )
& ( red("3","11")
<=> $true )
& ( red("4","1")
<=> $false )
& ( red("4","2")
<=> $false )
& ( red("4","3")
<=> $false )
& ( red("4","4")
<=> $false )
& ( red("4","5")
<=> $true )
& ( red("4","6")
<=> $true )
& ( red("4","7")
<=> $false )
& ( red("4","8")
<=> $true )
& ( red("4","9")
<=> $false )
& ( red("4","10")
<=> $false )
& ( red("4","11")
<=> $true )
& ( red("5","1")
<=> $false )
& ( red("5","2")
<=> $false )
& ( red("5","3")
<=> $false )
& ( red("5","4")
<=> $false )
& ( red("5","5")
<=> $false )
& ( red("5","6")
<=> $false )
& ( red("5","7")
<=> $false )
& ( red("5","8")
<=> $false )
& ( red("5","9")
<=> $true )
& ( red("5","10")
<=> $false )
& ( red("5","11")
<=> $true )
& ( red("6","1")
<=> $false )
& ( red("6","2")
<=> $false )
& ( red("6","3")
<=> $false )
& ( red("6","4")
<=> $false )
& ( red("6","5")
<=> $false )
& ( red("6","6")
<=> $false )
& ( red("6","7")
<=> $true )
& ( red("6","8")
<=> $false )
& ( red("6","9")
<=> $true )
& ( red("6","10")
<=> $true )
& ( red("6","11")
<=> $true )
& ( red("7","1")
<=> $false )
& ( red("7","2")
<=> $false )
& ( red("7","3")
<=> $false )
& ( red("7","4")
<=> $false )
& ( red("7","5")
<=> $false )
& ( red("7","6")
<=> $false )
& ( red("7","7")
<=> $false )
& ( red("7","8")
<=> $false )
& ( red("7","9")
<=> $false )
& ( red("7","10")
<=> $true )
& ( red("7","11")
<=> $true )
& ( red("8","1")
<=> $false )
& ( red("8","2")
<=> $false )
& ( red("8","3")
<=> $false )
& ( red("8","4")
<=> $false )
& ( red("8","5")
<=> $false )
& ( red("8","6")
<=> $false )
& ( red("8","7")
<=> $false )
& ( red("8","8")
<=> $false )
& ( red("8","9")
<=> $false )
& ( red("8","10")
<=> $true )
& ( red("8","11")
<=> $true )
& ( red("9","1")
<=> $false )
& ( red("9","2")
<=> $false )
& ( red("9","3")
<=> $false )
& ( red("9","4")
<=> $false )
& ( red("9","5")
<=> $false )
& ( red("9","6")
<=> $false )
& ( red("9","7")
<=> $false )
& ( red("9","8")
<=> $false )
& ( red("9","9")
<=> $false )
& ( red("9","10")
<=> $true )
& ( red("9","11")
<=> $true )
& ( red("10","1")
<=> $false )
& ( red("10","2")
<=> $false )
& ( red("10","3")
<=> $false )
& ( red("10","4")
<=> $false )
& ( red("10","5")
<=> $false )
& ( red("10","6")
<=> $false )
& ( red("10","7")
<=> $false )
& ( red("10","8")
<=> $false )
& ( red("10","9")
<=> $false )
& ( red("10","10")
<=> $false )
& ( red("10","11")
<=> $false )
& ( red("11","1")
<=> $false )
& ( red("11","2")
<=> $false )
& ( red("11","3")
<=> $false )
& ( red("11","4")
<=> $false )
& ( red("11","5")
<=> $false )
& ( red("11","6")
<=> $false )
& ( red("11","7")
<=> $false )
& ( red("11","8")
<=> $false )
& ( red("11","9")
<=> $false )
& ( red("11","10")
<=> $false )
& ( red("11","11")
<=> $false ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRA015+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.34 % Computer : n017.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 : 600
% 0.12/0.34 % DateTime : Tue May 31 00:55:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Paradox, version 4.0, 2010-06-29.
% 0.12/0.34 +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.12/0.35 +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.40 +++ BEGIN MODEL
% 0.19/0.40 SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.40 +++ END MODEL
% 0.19/0.40 +++ RESULT: CounterSatisfiable
% 0.19/0.40 SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------