TSTP Solution File: KRS011-1 by Paradox---4.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : KRS011-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n019.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 03:23:20 EDT 2022
% Result : Satisfiable 0.19s 0.38s
% Output : FiniteModel 0.19s
% Verified :
% SZS Type : FiniteModel
% Domain size : 3
% Comments :
%------------------------------------------------------------------------------
% domain size is 3
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2"
| X = "3" ) ).
fof(c,fi_predicates,
( ( c("1")
<=> $true )
& ( c("2")
<=> $false )
& ( c("3")
<=> $false ) ) ).
fof(d,fi_predicates,
( ( d("1")
<=> $false )
& ( d("2")
<=> $false )
& ( d("3")
<=> $true ) ) ).
fof(e,fi_predicates,
( ( e("1")
<=> $false )
& ( e("2")
<=> $true )
& ( e("3")
<=> $false ) ) ).
fof(equalish,fi_predicates,
( ( equalish("1","1")
<=> $true )
& ( equalish("1","2")
<=> $true )
& ( equalish("1","3")
<=> $false )
& ( equalish("2","1")
<=> $true )
& ( equalish("2","2")
<=> $true )
& ( equalish("2","3")
<=> $false )
& ( equalish("3","1")
<=> $false )
& ( equalish("3","2")
<=> $false )
& ( equalish("3","3")
<=> $true ) ) ).
fof(exists,fi_functors,
exists = "1" ).
fof(f,fi_predicates,
( ( f("1")
<=> $true )
& ( f("2")
<=> f("1") )
& ( f("3")
<=> f("2") ) ) ).
fof(f1,fi_predicates,
( ( f1("1")
<=> $true )
& ( f1("2")
<=> f1("1") )
& ( f1("3")
<=> f1("2") ) ) ).
fof(f2,fi_predicates,
( ( f2("1")
<=> $true )
& ( f2("2")
<=> f2("1") )
& ( f2("3")
<=> f2("2") ) ) ).
fof(f3,fi_predicates,
( ( f3("1")
<=> $true )
& ( f3("2")
<=> f3("1") )
& ( f3("3")
<=> f3("2") ) ) ).
fof(g,fi_predicates,
( ( g("1")
<=> $false )
& ( g("2")
<=> g("1") )
& ( g("3")
<=> g("2") ) ) ).
fof(r,fi_predicates,
( ( r("1","1")
<=> $true )
& ( r("1","2")
<=> $true )
& ( r("1","3")
<=> $false )
& ! [X2] :
( r("2",X2)
<=> r("1",X2) )
& ! [X2] :
( r("3",X2)
<=> r("2",X2) ) ) ).
fof(r1,fi_predicates,
( ( r1("1","1")
<=> $true )
& ( r1("1","2")
<=> $false )
& ( r1("1","3")
<=> $false )
& ! [X2] :
( r1("2",X2)
<=> r1("1",X2) )
& ! [X2] :
( r1("3",X2)
<=> r1("2",X2) ) ) ).
fof(r2,fi_predicates,
( ( r2("1","1")
<=> $true )
& ( r2("1","2")
<=> $true )
& ( r2("1","3")
<=> $false )
& ! [X2] :
( r2("2",X2)
<=> r2("1",X2) )
& ! [X2] :
( r2("3",X2)
<=> r2("2",X2) ) ) ).
fof(r2least,fi_predicates,
( ( r2least("1")
<=> $false )
& ( r2least("2")
<=> r2least("1") )
& ( r2least("3")
<=> r2least("2") ) ) ).
fof(r3,fi_predicates,
( ( r3("1","1")
<=> $true )
& ( r3("1","2")
<=> $true )
& ( r3("1","3")
<=> $false )
& ! [X2] :
( r3("2",X2)
<=> r3("1",X2) )
& ! [X2] :
( r3("3",X2)
<=> r3("2",X2) ) ) ).
fof(t,fi_predicates,
( ( t("1","1")
<=> $true )
& ( t("1","2")
<=> $false )
& ( t("1","3")
<=> $true )
& ( t("2","1")
<=> $false )
& ( t("2","2")
<=> $true )
& ( t("2","3")
<=> $true )
& ( t("3","1")
<=> $false )
& ( t("3","2")
<=> $false )
& ( t("3","3")
<=> $false ) ) ).
fof(t1,fi_predicates,
( ( t1("1","1")
<=> $true )
& ( t1("1","2")
<=> $false )
& ( t1("1","3")
<=> $false )
& ( t1("2","1")
<=> $false )
& ( t1("2","2")
<=> $false )
& ( t1("2","3")
<=> $false )
& ( t1("3","1")
<=> $false )
& ( t1("3","2")
<=> $false )
& ( t1("3","3")
<=> $false ) ) ).
fof(t2,fi_predicates,
( ( t2("1","1")
<=> $true )
& ( t2("1","2")
<=> $false )
& ( t2("1","3")
<=> $true )
& ( t2("2","1")
<=> $false )
& ( t2("2","2")
<=> $false )
& ( t2("2","3")
<=> $true )
& ( t2("3","1")
<=> $false )
& ( t2("3","2")
<=> $false )
& ( t2("3","3")
<=> $false ) ) ).
fof(t3,fi_predicates,
( ( t3("1","1")
<=> $true )
& ( t3("1","2")
<=> $false )
& ( t3("1","3")
<=> $false )
& ( t3("2","1")
<=> $false )
& ( t3("2","2")
<=> $true )
& ( t3("2","3")
<=> $false )
& ( t3("3","1")
<=> $false )
& ( t3("3","2")
<=> $false )
& ( t3("3","3")
<=> $false ) ) ).
fof(u10r1,fi_functors,
( u10r1("1","1") = "1"
& u10r1("2","1") = "1"
& u10r1("3","1") = "3"
& ! [X1] : u10r1(X1,"2") = u10r1(X1,"1")
& ! [X1] : u10r1(X1,"3") = u10r1(X1,"2") ) ).
fof(u10r2,fi_functors,
( u10r2("1","1") = "1"
& u10r2("2","1") = "1"
& u10r2("3","1") = "3"
& ! [X1] : u10r2(X1,"2") = u10r2(X1,"1")
& ! [X1] : u10r2(X1,"3") = u10r2(X1,"2") ) ).
fof(u10r3,fi_functors,
( u10r3("1","1") = "1"
& u10r3("2","1") = "1"
& u10r3("3","1") = "3"
& ! [X1] : u10r3(X1,"2") = u10r3(X1,"1")
& ! [X1] : u10r3(X1,"3") = u10r3(X1,"2") ) ).
fof(u10r4,fi_functors,
( u10r4("1") = "1"
& u10r4("2") = u10r4("1")
& u10r4("3") = u10r4("2") ) ).
fof(u10r5,fi_functors,
( u10r5("1") = "3"
& u10r5("2") = u10r5("1")
& u10r5("3") = u10r5("2") ) ).
fof(u11r1,fi_functors,
( u11r1("1","1") = "1"
& u11r1("2","1") = "1"
& u11r1("3","1") = "3"
& ! [X1] : u11r1(X1,"2") = u11r1(X1,"1")
& ! [X1] : u11r1(X1,"3") = u11r1(X1,"2") ) ).
fof(u11r2,fi_functors,
( u11r2("1","1") = "1"
& u11r2("2","1") = "3"
& u11r2("3","1") = "3"
& ! [X1] : u11r2(X1,"2") = u11r2(X1,"1")
& ! [X1] : u11r2(X1,"3") = u11r2(X1,"2") ) ).
fof(u11r3,fi_functors,
( u11r3("1","1") = "1"
& u11r3("2","1") = "1"
& u11r3("3","1") = "3"
& ! [X1] : u11r3(X1,"2") = u11r3(X1,"1")
& ! [X1] : u11r3(X1,"3") = u11r3(X1,"2") ) ).
fof(u11r4,fi_functors,
( u11r4("1") = "2"
& u11r4("2") = u11r4("1")
& u11r4("3") = u11r4("2") ) ).
fof(u11r5,fi_functors,
( u11r5("1") = "2"
& u11r5("2") = u11r5("1")
& u11r5("3") = u11r5("2") ) ).
fof(u14r1,fi_functors,
( u14r1("1") = "1"
& u14r1("2") = u14r1("1")
& u14r1("3") = u14r1("2") ) ).
fof(u14r2,fi_functors,
( u14r2("1") = "1"
& u14r2("2") = u14r2("1")
& u14r2("3") = u14r2("2") ) ).
fof(u9r1,fi_functors,
( u9r1("1","1") = "1"
& u9r1("2","1") = "1"
& u9r1("3","1") = "3"
& ! [X1] : u9r1(X1,"2") = u9r1(X1,"1")
& ! [X1] : u9r1(X1,"3") = u9r1(X1,"2") ) ).
fof(u9r2,fi_functors,
( u9r2("1","1") = "1"
& u9r2("2","1") = "1"
& u9r2("3","1") = "3"
& ! [X1] : u9r2(X1,"2") = u9r2(X1,"1")
& ! [X1] : u9r2(X1,"3") = u9r2(X1,"2") ) ).
fof(u9r3,fi_functors,
( u9r3("1","1") = "1"
& u9r3("2","1") = "1"
& u9r3("3","1") = "3"
& ! [X1] : u9r3(X1,"2") = u9r3(X1,"1")
& ! [X1] : u9r3(X1,"3") = u9r3(X1,"2") ) ).
fof(u9r4,fi_functors,
( u9r4("1") = "1"
& u9r4("2") = u9r4("1")
& u9r4("3") = u9r4("2") ) ).
fof(u9r5,fi_functors,
( u9r5("1") = "1"
& u9r5("2") = u9r5("1")
& u9r5("3") = u9r5("2") ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS011-1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.34 % Computer : n019.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 : Tue Jun 7 07:52:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Paradox, version 4.0, 2010-06-29.
% 0.13/0.34 +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.13/0.36 +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38 +++ BEGIN MODEL
% 0.19/0.38 SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.38 +++ END MODEL
% 0.19/0.38 +++ RESULT: Satisfiable
% 0.19/0.38 SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------