%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : GRP027-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n005.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 0.20s 0.39s
% Output : FiniteModel 0.20s
% 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(g,fi_functors,
g = "1" ).
fof(group_member,fi_predicates,
( ( group_member("1","1")
<=> $true )
& ( group_member("2","1")
<=> $false )
& ( group_member("3","1")
<=> $false )
& ! [X1] :
( group_member(X1,"2")
<=> group_member(X1,"1") )
& ! [X1] :
( group_member(X1,"3")
<=> group_member(X1,"2") ) ) ).
fof(i,fi_functors,
i = "1" ).
fof(identity_for,fi_functors,
( identity_for("1") = "1"
& identity_for("2") = identity_for("1")
& identity_for("3") = identity_for("2") ) ).
fof(inverse,fi_functors,
( inverse("1","1") = "1"
& inverse("1","2") = "3"
& inverse("1","3") = "2"
& ! [X2] : inverse("2",X2) = inverse("1",X2)
& ! [X2] : inverse("3",X2) = inverse("2",X2) ) ).
fof(multiply,fi_functors,
( multiply("1","1","1") = "1"
& multiply("1","1","2") = "3"
& multiply("1","1","3") = "1"
& multiply("1","2","1") = "1"
& multiply("1","2","2") = "1"
& multiply("1","2","3") = "3"
& multiply("1","3","1") = "1"
& multiply("1","3","2") = "2"
& multiply("1","3","3") = "1"
& ! [X2,X3] : multiply("2",X2,X3) = multiply("1",X2,X3)
& ! [X2,X3] : multiply("3",X2,X3) = multiply("2",X2,X3) ) ).
fof(not_power_of,fi_functors,
( not_power_of("1","1") = "3"
& not_power_of("1","2") = "1"
& not_power_of("1","3") = "1"
& ! [X2] : not_power_of("2",X2) = not_power_of("1",X2)
& ! [X2] : not_power_of("3",X2) = not_power_of("2",X2) ) ).
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")
<=> $true )
& ( 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")
<=> $true )
& ( product("1","3","3","3")
<=> $false )
& ! [X2,X3,X4] :
( product("2",X2,X3,X4)
<=> product("1",X2,X3,X4) )
& ! [X2,X3,X4] :
( product("3",X2,X3,X4)
<=> product("2",X2,X3,X4) ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP027-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.14 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 00:08:39 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 Paradox, version 4.0, 2010-06-29.
% 0.14/0.36 +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.14/0.36 Reading 'Axioms/GRP006-0.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/GRP006-0.ax') OK
% 0.14/0.37 +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.39 +++ BEGIN MODEL
% 0.20/0.39 SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.39 +++ END MODEL
% 0.20/0.39 +++ RESULT: Satisfiable
% 0.20/0.39 SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------