TSTP Solution File: KLE050+3 by Paradox---4.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : KLE050+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n006.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 : Sun Jul 17 02:20:03 EDT 2022
% Result : CounterSatisfiable 7.34s 7.52s
% Output : FiniteModel 7.34s
% Verified :
% SZS Type : FiniteModel
% Domain size : 8
% Comments :
%------------------------------------------------------------------------------
% domain size is 8
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2"
| X = "3"
| X = "4"
| X = "5"
| X = "6"
| X = "7"
| X = "8" ) ).
fof(addition,fi_functors,
( addition("1","1") = "1"
& addition("1","2") = "2"
& addition("1","3") = "3"
& addition("1","4") = "4"
& addition("1","5") = "5"
& addition("1","6") = "6"
& addition("1","7") = "7"
& addition("1","8") = "8"
& addition("2","1") = "2"
& addition("2","2") = "2"
& addition("2","3") = "2"
& addition("2","4") = "2"
& addition("2","5") = "2"
& addition("2","6") = "2"
& addition("2","7") = "2"
& addition("2","8") = "2"
& addition("3","1") = "3"
& addition("3","2") = "2"
& addition("3","3") = "3"
& addition("3","4") = "2"
& addition("3","5") = "3"
& addition("3","6") = "3"
& addition("3","7") = "2"
& addition("3","8") = "2"
& addition("4","1") = "4"
& addition("4","2") = "2"
& addition("4","3") = "2"
& addition("4","4") = "4"
& addition("4","5") = "2"
& addition("4","6") = "4"
& addition("4","7") = "2"
& addition("4","8") = "4"
& addition("5","1") = "5"
& addition("5","2") = "2"
& addition("5","3") = "3"
& addition("5","4") = "2"
& addition("5","5") = "5"
& addition("5","6") = "3"
& addition("5","7") = "7"
& addition("5","8") = "7"
& addition("6","1") = "6"
& addition("6","2") = "2"
& addition("6","3") = "3"
& addition("6","4") = "4"
& addition("6","5") = "3"
& addition("6","6") = "6"
& addition("6","7") = "2"
& addition("6","8") = "4"
& addition("7","1") = "7"
& addition("7","2") = "2"
& addition("7","3") = "2"
& addition("7","4") = "2"
& addition("7","5") = "7"
& addition("7","6") = "2"
& addition("7","7") = "7"
& addition("7","8") = "7"
& addition("8","1") = "8"
& addition("8","2") = "2"
& addition("8","3") = "2"
& addition("8","4") = "4"
& addition("8","5") = "7"
& addition("8","6") = "4"
& addition("8","7") = "7"
& addition("8","8") = "8" ) ).
fof(c,fi_functors,
( c("1") = "3"
& c("2") = "1"
& c("3") = "1"
& c("4") = "1"
& c("5") = "6"
& c("6") = "5"
& c("7") = "1"
& c("8") = "1" ) ).
fof(complement,fi_predicates,
( ( complement("1","1")
<=> $false )
& ( complement("1","2")
<=> $false )
& ( complement("1","3")
<=> $true )
& ( complement("1","4")
<=> $false )
& ( complement("1","5")
<=> $false )
& ( complement("1","6")
<=> $false )
& ( complement("1","7")
<=> $false )
& ( complement("1","8")
<=> $false )
& ( complement("2","1")
<=> $false )
& ( complement("2","2")
<=> $false )
& ( complement("2","3")
<=> $false )
& ( complement("2","4")
<=> $false )
& ( complement("2","5")
<=> $false )
& ( complement("2","6")
<=> $false )
& ( complement("2","7")
<=> $false )
& ( complement("2","8")
<=> $false )
& ( complement("3","1")
<=> $true )
& ( complement("3","2")
<=> $false )
& ( complement("3","3")
<=> $false )
& ( complement("3","4")
<=> $false )
& ( complement("3","5")
<=> $false )
& ( complement("3","6")
<=> $false )
& ( complement("3","7")
<=> $false )
& ( complement("3","8")
<=> $false )
& ( complement("4","1")
<=> $false )
& ( complement("4","2")
<=> $false )
& ( complement("4","3")
<=> $false )
& ( complement("4","4")
<=> $false )
& ( complement("4","5")
<=> $false )
& ( complement("4","6")
<=> $false )
& ( complement("4","7")
<=> $false )
& ( complement("4","8")
<=> $false )
& ( complement("5","1")
<=> $false )
& ( complement("5","2")
<=> $false )
& ( complement("5","3")
<=> $false )
& ( complement("5","4")
<=> $false )
& ( complement("5","5")
<=> $false )
& ( complement("5","6")
<=> $true )
& ( complement("5","7")
<=> $false )
& ( complement("5","8")
<=> $false )
& ( complement("6","1")
<=> $false )
& ( complement("6","2")
<=> $false )
& ( complement("6","3")
<=> $false )
& ( complement("6","4")
<=> $false )
& ( complement("6","5")
<=> $true )
& ( complement("6","6")
<=> $false )
& ( complement("6","7")
<=> $false )
& ( complement("6","8")
<=> $false )
& ( complement("7","1")
<=> $false )
& ( complement("7","2")
<=> $false )
& ( complement("7","3")
<=> $false )
& ( complement("7","4")
<=> $false )
& ( complement("7","5")
<=> $false )
& ( complement("7","6")
<=> $false )
& ( complement("7","7")
<=> $false )
& ( complement("7","8")
<=> $false )
& ( complement("8","1")
<=> $false )
& ( complement("8","2")
<=> $false )
& ( complement("8","3")
<=> $false )
& ( complement("8","4")
<=> $false )
& ( complement("8","5")
<=> $false )
& ( complement("8","6")
<=> $false )
& ( complement("8","7")
<=> $false )
& ( complement("8","8")
<=> $false ) ) ).
fof(leq,fi_predicates,
( ( leq("1","1")
<=> $true )
& ( leq("1","2")
<=> $true )
& ( leq("1","3")
<=> $true )
& ( leq("1","4")
<=> $true )
& ( leq("1","5")
<=> $true )
& ( leq("1","6")
<=> $true )
& ( leq("1","7")
<=> $true )
& ( leq("1","8")
<=> $true )
& ( leq("2","1")
<=> $false )
& ( leq("2","2")
<=> $true )
& ( leq("2","3")
<=> $false )
& ( leq("2","4")
<=> $false )
& ( leq("2","5")
<=> $false )
& ( leq("2","6")
<=> $false )
& ( leq("2","7")
<=> $false )
& ( leq("2","8")
<=> $false )
& ( leq("3","1")
<=> $false )
& ( leq("3","2")
<=> $true )
& ( leq("3","3")
<=> $true )
& ( leq("3","4")
<=> $false )
& ( leq("3","5")
<=> $false )
& ( leq("3","6")
<=> $false )
& ( leq("3","7")
<=> $false )
& ( leq("3","8")
<=> $false )
& ( leq("4","1")
<=> $false )
& ( leq("4","2")
<=> $true )
& ( leq("4","3")
<=> $false )
& ( leq("4","4")
<=> $true )
& ( leq("4","5")
<=> $false )
& ( leq("4","6")
<=> $false )
& ( leq("4","7")
<=> $false )
& ( leq("4","8")
<=> $false )
& ( leq("5","1")
<=> $false )
& ( leq("5","2")
<=> $true )
& ( leq("5","3")
<=> $true )
& ( leq("5","4")
<=> $false )
& ( leq("5","5")
<=> $true )
& ( leq("5","6")
<=> $false )
& ( leq("5","7")
<=> $true )
& ( leq("5","8")
<=> $false )
& ( leq("6","1")
<=> $false )
& ( leq("6","2")
<=> $true )
& ( leq("6","3")
<=> $true )
& ( leq("6","4")
<=> $true )
& ( leq("6","5")
<=> $false )
& ( leq("6","6")
<=> $true )
& ( leq("6","7")
<=> $false )
& ( leq("6","8")
<=> $false )
& ( leq("7","1")
<=> $false )
& ( leq("7","2")
<=> $true )
& ( leq("7","3")
<=> $false )
& ( leq("7","4")
<=> $false )
& ( leq("7","5")
<=> $false )
& ( leq("7","6")
<=> $false )
& ( leq("7","7")
<=> $true )
& ( leq("7","8")
<=> $false )
& ( leq("8","1")
<=> $false )
& ( leq("8","2")
<=> $true )
& ( leq("8","3")
<=> $false )
& ( leq("8","4")
<=> $true )
& ( leq("8","5")
<=> $false )
& ( leq("8","6")
<=> $false )
& ( leq("8","7")
<=> $true )
& ( leq("8","8")
<=> $true ) ) ).
fof(multiplication,fi_functors,
( multiplication("1","1") = "1"
& multiplication("1","2") = "1"
& multiplication("1","3") = "1"
& multiplication("1","4") = "1"
& multiplication("1","5") = "1"
& multiplication("1","6") = "1"
& multiplication("1","7") = "1"
& multiplication("1","8") = "1"
& multiplication("2","1") = "1"
& multiplication("2","2") = "2"
& multiplication("2","3") = "2"
& multiplication("2","4") = "4"
& multiplication("2","5") = "5"
& multiplication("2","6") = "4"
& multiplication("2","7") = "7"
& multiplication("2","8") = "8"
& multiplication("3","1") = "1"
& multiplication("3","2") = "2"
& multiplication("3","3") = "3"
& multiplication("3","4") = "4"
& multiplication("3","5") = "5"
& multiplication("3","6") = "6"
& multiplication("3","7") = "7"
& multiplication("3","8") = "8"
& multiplication("4","1") = "1"
& multiplication("4","2") = "4"
& multiplication("4","3") = "4"
& multiplication("4","4") = "4"
& multiplication("4","5") = "1"
& multiplication("4","6") = "4"
& multiplication("4","7") = "1"
& multiplication("4","8") = "1"
& multiplication("5","1") = "1"
& multiplication("5","2") = "7"
& multiplication("5","3") = "5"
& multiplication("5","4") = "8"
& multiplication("5","5") = "5"
& multiplication("5","6") = "1"
& multiplication("5","7") = "7"
& multiplication("5","8") = "8"
& multiplication("6","1") = "1"
& multiplication("6","2") = "6"
& multiplication("6","3") = "6"
& multiplication("6","4") = "6"
& multiplication("6","5") = "1"
& multiplication("6","6") = "6"
& multiplication("6","7") = "1"
& multiplication("6","8") = "1"
& multiplication("7","1") = "1"
& multiplication("7","2") = "7"
& multiplication("7","3") = "7"
& multiplication("7","4") = "8"
& multiplication("7","5") = "5"
& multiplication("7","6") = "8"
& multiplication("7","7") = "7"
& multiplication("7","8") = "8"
& multiplication("8","1") = "1"
& multiplication("8","2") = "8"
& multiplication("8","3") = "8"
& multiplication("8","4") = "8"
& multiplication("8","5") = "1"
& multiplication("8","6") = "8"
& multiplication("8","7") = "1"
& multiplication("8","8") = "1" ) ).
fof(one,fi_functors,
one = "3" ).
fof(sK30_test_1_X1,fi_functors,
( sK30_test_1_X1("1") = "3"
& sK30_test_1_X1("2") = "1"
& sK30_test_1_X1("3") = "1"
& sK30_test_1_X1("4") = "5"
& sK30_test_1_X1("5") = "6"
& sK30_test_1_X1("6") = "5"
& sK30_test_1_X1("7") = "6"
& sK30_test_1_X1("8") = "4" ) ).
fof(sK42_goals_X3,fi_functors,
sK42_goals_X3 = "5" ).
fof(sK43_goals_X2,fi_functors,
sK43_goals_X2 = "5" ).
fof(sK44_goals_X1,fi_functors,
sK44_goals_X1 = "1" ).
fof(sK45_goals_X0,fi_functors,
sK45_goals_X0 = "2" ).
fof(star,fi_functors,
( star("1") = "3"
& star("2") = "2"
& star("3") = "3"
& star("4") = "2"
& star("5") = "3"
& star("6") = "3"
& star("7") = "2"
& star("8") = "2" ) ).
fof(test,fi_predicates,
( ( test("1")
<=> $true )
& ( test("2")
<=> $false )
& ( test("3")
<=> $true )
& ( test("4")
<=> $false )
& ( test("5")
<=> $true )
& ( test("6")
<=> $true )
& ( test("7")
<=> $false )
& ( test("8")
<=> $false ) ) ).
fof(zero,fi_functors,
zero = "1" ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE050+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.34 % Computer : n006.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 : 600
% 0.13/0.34 % DateTime : Thu Jun 16 14:44:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Paradox, version 4.0, 2010-06-29.
% 0.13/0.35 +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.13/0.35 Reading 'Axioms/KLE002+0.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax') OK
% 0.13/0.36 Reading 'Axioms/KLE001+1.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax') OK
% 0.13/0.36 Reading 'Axioms/KLE001+2.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/KLE001+2.ax') OK
% 0.13/0.36 +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.34/7.51 +++ BEGIN MODEL
% 7.34/7.51 SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.34/7.51 +++ END MODEL
% 7.34/7.52 +++ RESULT: CounterSatisfiable
% 7.34/7.52 SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------