TSTP Solution File: GRP027-2 by Paradox---4.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : GRP027-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n013.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 11:09:52 EDT 2022
% Result : Satisfiable 0.12s 0.40s
% Output : FiniteModel 0.12s
% Verified :
% SZS Type : FiniteModel
% Domain size : 3
% Comments :
%------------------------------------------------------------------------------
% domain size is 3
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2"
| X = "3" ) ).
fof(a,fi_functors,
a = "1" ).
fof(b,fi_functors,
b = "1" ).
fof(c,fi_functors,
c = "1" ).
fof(d,fi_functors,
d = "1" ).
fof(equalish,fi_predicates,
( ( equalish("1","1")
<=> $true )
& ( equalish("1","2")
<=> $false )
& ( equalish("1","3")
<=> $false )
& ( equalish("2","1")
<=> $false )
& ( equalish("2","2")
<=> $true )
& ( equalish("2","3")
<=> $false )
& ( equalish("3","1")
<=> $false )
& ( equalish("3","2")
<=> $false )
& ( equalish("3","3")
<=> $true ) ) ).
fof(g,fi_functors,
g = "1" ).
fof(group_member,fi_predicates,
( ( group_member("1","1")
<=> $true )
& ( group_member("1","2")
<=> $true )
& ( group_member("1","3")
<=> $true )
& ( group_member("2","1")
<=> $false )
& ( group_member("2","2")
<=> $true )
& ( group_member("2","3")
<=> $false )
& ( group_member("3","1")
<=> $false )
& ( group_member("3","2")
<=> $true )
& ( group_member("3","3")
<=> $false ) ) ).
fof(i,fi_functors,
i = "1" ).
fof(identity_for,fi_functors,
( identity_for("1") = "1"
& identity_for("2") = "3"
& identity_for("3") = "1" ) ).
fof(inverse,fi_functors,
( inverse("1","1") = "1"
& inverse("1","2") = "3"
& inverse("1","3") = "2"
& inverse("2","1") = "2"
& inverse("2","2") = "1"
& inverse("2","3") = "3"
& inverse("3","1") = "1"
& inverse("3","2") = "2"
& inverse("3","3") = "3" ) ).
fof(multiply,fi_functors,
( multiply("1","1","1") = "1"
& multiply("1","1","2") = "3"
& multiply("1","1","3") = "3"
& multiply("1","2","1") = "3"
& multiply("1","2","2") = "1"
& multiply("1","2","3") = "2"
& multiply("1","3","1") = "2"
& multiply("1","3","2") = "3"
& multiply("1","3","3") = "1"
& multiply("2","1","1") = "2"
& multiply("2","1","2") = "3"
& multiply("2","1","3") = "1"
& multiply("2","2","1") = "3"
& multiply("2","2","2") = "1"
& multiply("2","2","3") = "2"
& multiply("2","3","1") = "1"
& multiply("2","3","2") = "2"
& multiply("2","3","3") = "3"
& multiply("3","1","1") = "1"
& multiply("3","1","2") = "3"
& multiply("3","1","3") = "3"
& multiply("3","2","1") = "3"
& multiply("3","2","2") = "3"
& multiply("3","2","3") = "3"
& multiply("3","3","1") = "3"
& multiply("3","3","2") = "3"
& multiply("3","3","3") = "2" ) ).
fof(not_power_of,fi_functors,
( not_power_of("1","1") = "2"
& not_power_of("1","2") = "3"
& not_power_of("1","3") = "2"
& not_power_of("2","1") = "2"
& not_power_of("2","2") = "1"
& not_power_of("2","3") = "1"
& not_power_of("3","1") = "2"
& not_power_of("3","2") = "1"
& not_power_of("3","3") = "1" ) ).
fof(product,fi_predicates,
( ( product("1","1","1","1")
<=> $true )
& ( product("1","1","1","2")
<=> $false )
& ( product("1","1","1","3")
<=> $false )
& ( product("1","1","2","1")
<=> $false )
& ( product("1","1","2","2")
<=> $true )
& ( product("1","1","2","3")
<=> $false )
& ( product("1","1","3","1")
<=> $false )
& ( product("1","1","3","2")
<=> $false )
& ( product("1","1","3","3")
<=> $true )
& ( product("1","2","1","1")
<=> $false )
& ( product("1","2","1","2")
<=> $true )
& ( product("1","2","1","3")
<=> $false )
& ( product("1","2","2","1")
<=> $false )
& ( product("1","2","2","2")
<=> $false )
& ( product("1","2","2","3")
<=> $false )
& ( product("1","2","3","1")
<=> $true )
& ( product("1","2","3","2")
<=> $false )
& ( product("1","2","3","3")
<=> $false )
& ( product("1","3","1","1")
<=> $false )
& ( product("1","3","1","2")
<=> $false )
& ( product("1","3","1","3")
<=> $true )
& ( product("1","3","2","1")
<=> $true )
& ( product("1","3","2","2")
<=> $false )
& ( product("1","3","2","3")
<=> $false )
& ( product("1","3","3","1")
<=> $false )
& ( product("1","3","3","2")
<=> $false )
& ( product("1","3","3","3")
<=> $false )
& ( product("2","1","1","1")
<=> $false )
& ( product("2","1","1","2")
<=> $true )
& ( product("2","1","1","3")
<=> $false )
& ( product("2","1","2","1")
<=> $false )
& ( product("2","1","2","2")
<=> $false )
& ( product("2","1","2","3")
<=> $true )
& ( product("2","1","3","1")
<=> $true )
& ( product("2","1","3","2")
<=> $false )
& ( product("2","1","3","3")
<=> $false )
& ( product("2","2","1","1")
<=> $false )
& ( product("2","2","1","2")
<=> $false )
& ( product("2","2","1","3")
<=> $true )
& ( product("2","2","2","1")
<=> $true )
& ( product("2","2","2","2")
<=> $false )
& ( product("2","2","2","3")
<=> $false )
& ( product("2","2","3","1")
<=> $false )
& ( product("2","2","3","2")
<=> $true )
& ( product("2","2","3","3")
<=> $false )
& ( product("2","3","1","1")
<=> $true )
& ( product("2","3","1","2")
<=> $false )
& ( product("2","3","1","3")
<=> $false )
& ( product("2","3","2","1")
<=> $false )
& ( product("2","3","2","2")
<=> $true )
& ( product("2","3","2","3")
<=> $false )
& ( product("2","3","3","1")
<=> $false )
& ( product("2","3","3","2")
<=> $false )
& ( product("2","3","3","3")
<=> $true )
& ( product("3","1","1","1")
<=> $true )
& ( product("3","1","1","2")
<=> $false )
& ( product("3","1","1","3")
<=> $false )
& ( product("3","1","2","1")
<=> $false )
& ( product("3","1","2","2")
<=> $true )
& ( product("3","1","2","3")
<=> $false )
& ( product("3","1","3","1")
<=> $false )
& ( product("3","1","3","2")
<=> $false )
& ( product("3","1","3","3")
<=> $true )
& ( product("3","2","1","1")
<=> $false )
& ( product("3","2","1","2")
<=> $true )
& ( product("3","2","1","3")
<=> $false )
& ( product("3","2","2","1")
<=> $true )
& ( product("3","2","2","2")
<=> $false )
& ( product("3","2","2","3")
<=> $false )
& ( product("3","2","3","1")
<=> $false )
& ( product("3","2","3","2")
<=> $false )
& ( product("3","2","3","3")
<=> $false )
& ( product("3","3","1","1")
<=> $false )
& ( product("3","3","1","2")
<=> $false )
& ( product("3","3","1","3")
<=> $true )
& ( product("3","3","2","1")
<=> $false )
& ( product("3","3","2","2")
<=> $false )
& ( product("3","3","2","3")
<=> $false )
& ( product("3","3","3","1")
<=> $true )
& ( product("3","3","3","2")
<=> $false )
& ( product("3","3","3","3")
<=> $false ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP027-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.33 % Computer : n013.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 : Mon Jun 13 05:47:59 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/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.12/0.35 +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.40 +++ BEGIN MODEL
% 0.12/0.40 SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.40 +++ END MODEL
% 0.12/0.40 +++ RESULT: Satisfiable
% 0.12/0.40 SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------