TSTP Solution File: SYO842+1 by Paradox---4.0
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%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : SYO842+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n027.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 : Thu Jul 21 19:08:11 EDT 2022
% Result : CounterSatisfiable 0.18s 0.42s
% Output : FiniteModel 0.18s
% Verified :
% SZS Type : FiniteModel
% Domain size : 4
% Comments :
%------------------------------------------------------------------------------
% domain size is 4
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2"
| X = "3"
| X = "4" ) ).
fof(a0,fi_functors,
a0 = "3" ).
fof(a1,fi_functors,
a1 = "1" ).
fof(a2,fi_functors,
a2 = "2" ).
fof(a3,fi_functors,
a3 = "2" ).
fof(a4,fi_functors,
a4 = "3" ).
fof(aal2,fi_predicates,
( ( aal2("1")
<=> $true )
& ( aal2("2")
<=> $false )
& ( aal2("3")
<=> $true )
& ( aal2("4")
<=> $false ) ) ).
fof(aal3,fi_predicates,
( ( aal3("1")
<=> $true )
& ( aal3("2")
<=> $true )
& ( aal3("3")
<=> $false )
& ( aal3("4")
<=> $true ) ) ).
fof(aal4,fi_predicates,
( ( aal4("1")
<=> $true )
& ( aal4("2")
<=> $true )
& ( aal4("3")
<=> $true )
& ( aal4("4")
<=> $false ) ) ).
fof(aal5,fi_predicates,
( ( aal5("1")
<=> $false )
& ( aal5("2")
<=> $false )
& ( aal5("3")
<=> $false )
& ( aal5("4")
<=> $true ) ) ).
fof(aal6,fi_predicates,
! [X1] :
( aal6(X1)
<=> $true ) ).
fof(aal7,fi_predicates,
! [X1] :
( aal7(X1)
<=> $false ) ).
fof(adisjoint,fi_predicates,
( ( adisjoint("1","1")
<=> $false )
& ( adisjoint("1","2")
<=> $false )
& ( adisjoint("1","3")
<=> $false )
& ( adisjoint("1","4")
<=> $false )
& ( adisjoint("2","1")
<=> $false )
& ( adisjoint("2","2")
<=> $false )
& ( adisjoint("2","3")
<=> $false )
& ( adisjoint("2","4")
<=> $false )
& ( adisjoint("3","1")
<=> $false )
& ( adisjoint("3","2")
<=> $false )
& ( adisjoint("3","3")
<=> $false )
& ( adisjoint("3","4")
<=> $false )
& ( adisjoint("4","1")
<=> $false )
& ( adisjoint("4","2")
<=> $false )
& ( adisjoint("4","3")
<=> $false )
& ( adisjoint("4","4")
<=> $false ) ) ).
fof(aex3,fi_predicates,
! [X1] :
( aex3(X1)
<=> $true ) ).
fof(aex4,fi_predicates,
! [X1] :
( aex4(X1)
<=> $true ) ).
fof(ain,fi_predicates,
( ( ain("1","1")
<=> $true )
& ( ain("1","2")
<=> $false )
& ( ain("1","3")
<=> $false )
& ( ain("1","4")
<=> $false )
& ( ain("2","1")
<=> $true )
& ( ain("2","2")
<=> $true )
& ( ain("2","3")
<=> $true )
& ( ain("2","4")
<=> $false )
& ( ain("3","1")
<=> $true )
& ( ain("3","2")
<=> $false )
& ( ain("3","3")
<=> $false )
& ( ain("3","4")
<=> $false )
& ( ain("4","1")
<=> $false )
& ( ain("4","2")
<=> $false )
& ( ain("4","3")
<=> $false )
& ( ain("4","4")
<=> $false ) ) ).
fof(aint,fi_functors,
( aint("1","1") = "1"
& aint("1","2") = "2"
& aint("1","3") = "2"
& aint("1","4") = "4"
& aint("2","1") = "2"
& aint("2","2") = "2"
& aint("2","3") = "2"
& aint("2","4") = "4"
& aint("3","1") = "2"
& aint("3","2") = "2"
& aint("3","3") = "2"
& aint("3","4") = "4"
& aint("4","1") = "4"
& aint("4","2") = "4"
& aint("4","3") = "4"
& aint("4","4") = "4" ) ).
fof(apow,fi_functors,
( apow("1") = "2"
& apow("2") = "3"
& apow("3") = "4"
& apow("4") = "4" ) ).
fof(asing,fi_functors,
( asing("1") = "4"
& asing("2") = "1"
& asing("3") = "1"
& asing("4") = "3" ) ).
fof(asm,fi_functors,
( asm("1","1") = "4"
& asm("1","2") = "3"
& asm("1","3") = "4"
& asm("1","4") = "1"
& asm("2","1") = "1"
& asm("2","2") = "3"
& asm("2","3") = "1"
& asm("2","4") = "1"
& asm("3","1") = "4"
& asm("3","2") = "3"
& asm("3","3") = "1"
& asm("3","4") = "3"
& asm("4","1") = "1"
& asm("4","2") = "4"
& asm("4","3") = "4"
& asm("4","4") = "1" ) ).
fof(asubq,fi_predicates,
( ( asubq("1","1")
<=> $true )
& ( asubq("1","2")
<=> $true )
& ( asubq("1","3")
<=> $false )
& ( asubq("1","4")
<=> $true )
& ( asubq("2","1")
<=> $true )
& ( asubq("2","2")
<=> $true )
& ( asubq("2","3")
<=> $true )
& ( asubq("2","4")
<=> $true )
& ( asubq("3","1")
<=> $false )
& ( asubq("3","2")
<=> $true )
& ( asubq("3","3")
<=> $true )
& ( asubq("3","4")
<=> $true )
& ( asubq("4","1")
<=> $true )
& ( asubq("4","2")
<=> $true )
& ( asubq("4","3")
<=> $true )
& ( asubq("4","4")
<=> $true ) ) ).
fof(aun,fi_functors,
( aun("1","1") = "1"
& aun("1","2") = "2"
& aun("1","3") = "4"
& aun("1","4") = "2"
& aun("2","1") = "2"
& aun("2","2") = "2"
& aun("2","3") = "4"
& aun("2","4") = "3"
& aun("3","1") = "1"
& aun("3","2") = "1"
& aun("3","3") = "4"
& aun("3","4") = "3"
& aun("4","1") = "2"
& aun("4","2") = "1"
& aun("4","3") = "3"
& aun("4","4") = "2" ) ).
fof(sK38_conj_X25,fi_functors,
sK38_conj_X25 = "1" ).
fof(sK39_conj_X24,fi_functors,
sK39_conj_X24 = "1" ).
fof(sK9_ax5_X27,fi_functors,
( sK9_ax5_X27("1","1","1") = "1"
& sK9_ax5_X27("1","1","2") = "3"
& sK9_ax5_X27("1","1","3") = "1"
& sK9_ax5_X27("1","1","4") = "3"
& sK9_ax5_X27("1","2","1") = "4"
& sK9_ax5_X27("1","2","2") = "3"
& sK9_ax5_X27("1","2","3") = "2"
& sK9_ax5_X27("1","2","4") = "2"
& sK9_ax5_X27("1","3","1") = "4"
& sK9_ax5_X27("1","3","2") = "1"
& sK9_ax5_X27("1","3","3") = "3"
& sK9_ax5_X27("1","3","4") = "2"
& sK9_ax5_X27("1","4","1") = "1"
& sK9_ax5_X27("1","4","2") = "3"
& sK9_ax5_X27("1","4","3") = "2"
& sK9_ax5_X27("1","4","4") = "1"
& sK9_ax5_X27("2","1","1") = "4"
& sK9_ax5_X27("2","1","2") = "4"
& sK9_ax5_X27("2","1","3") = "1"
& sK9_ax5_X27("2","1","4") = "2"
& sK9_ax5_X27("2","2","1") = "2"
& sK9_ax5_X27("2","2","2") = "1"
& sK9_ax5_X27("2","2","3") = "3"
& sK9_ax5_X27("2","2","4") = "2"
& sK9_ax5_X27("2","3","1") = "4"
& sK9_ax5_X27("2","3","2") = "4"
& sK9_ax5_X27("2","3","3") = "4"
& sK9_ax5_X27("2","3","4") = "2"
& sK9_ax5_X27("2","4","1") = "1"
& sK9_ax5_X27("2","4","2") = "2"
& sK9_ax5_X27("2","4","3") = "3"
& sK9_ax5_X27("2","4","4") = "2"
& sK9_ax5_X27("3","1","1") = "2"
& sK9_ax5_X27("3","1","2") = "2"
& sK9_ax5_X27("3","1","3") = "1"
& sK9_ax5_X27("3","1","4") = "2"
& sK9_ax5_X27("3","2","1") = "3"
& sK9_ax5_X27("3","2","2") = "2"
& sK9_ax5_X27("3","2","3") = "4"
& sK9_ax5_X27("3","2","4") = "2"
& sK9_ax5_X27("3","3","1") = "2"
& sK9_ax5_X27("3","3","2") = "3"
& sK9_ax5_X27("3","3","3") = "4"
& sK9_ax5_X27("3","3","4") = "2"
& sK9_ax5_X27("3","4","1") = "1"
& sK9_ax5_X27("3","4","2") = "1"
& sK9_ax5_X27("3","4","3") = "2"
& sK9_ax5_X27("3","4","4") = "1"
& sK9_ax5_X27("4","1","1") = "2"
& sK9_ax5_X27("4","1","2") = "1"
& sK9_ax5_X27("4","1","3") = "4"
& sK9_ax5_X27("4","1","4") = "3"
& sK9_ax5_X27("4","2","1") = "2"
& sK9_ax5_X27("4","2","2") = "2"
& sK9_ax5_X27("4","2","3") = "4"
& sK9_ax5_X27("4","2","4") = "3"
& sK9_ax5_X27("4","3","1") = "3"
& sK9_ax5_X27("4","3","2") = "2"
& sK9_ax5_X27("4","3","3") = "1"
& sK9_ax5_X27("4","3","4") = "2"
& sK9_ax5_X27("4","4","1") = "3"
& sK9_ax5_X27("4","4","2") = "1"
& sK9_ax5_X27("4","4","3") = "1"
& sK9_ax5_X27("4","4","4") = "1" ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO842+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 08:53:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 Paradox, version 4.0, 2010-06-29.
% 0.12/0.33 +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.12/0.35 +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 +++ BEGIN MODEL
% 0.18/0.42 SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.42 +++ END MODEL
% 0.18/0.42 +++ RESULT: CounterSatisfiable
% 0.18/0.42 SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------