TSTP Solution File: GRP025-4 by Paradox---4.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : GRP025-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n007.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 11:09:51 EDT 2022
% Result : Satisfiable 0.20s 0.42s
% Output : FiniteModel 0.20s
% 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(a,fi_functors,
a = "1" ).
fof(b,fi_functors,
b = "2" ).
fof(c,fi_functors,
c = "3" ).
fof(d,fi_functors,
d = "4" ).
fof(d1,fi_functors,
d1 = "2" ).
fof(d2,fi_functors,
d2 = "1" ).
fof(d3,fi_functors,
d3 = "2" ).
fof(g1,fi_functors,
g1 = "1" ).
fof(g2,fi_functors,
g2 = "2" ).
fof(group_member,fi_predicates,
( ( group_member("1","1")
<=> $true )
& ( group_member("1","2")
<=> $false )
& ( group_member("2","1")
<=> $true )
& ( group_member("2","2")
<=> $false )
& ( group_member("3","1")
<=> $false )
& ( group_member("3","2")
<=> $true )
& ( group_member("4","1")
<=> $false )
& ( group_member("4","2")
<=> $true )
& ! [X1] :
( group_member(X1,"3")
<=> group_member(X1,"2") )
& ! [X1] :
( group_member(X1,"4")
<=> group_member(X1,"3") ) ) ).
fof(identity_for,fi_functors,
( identity_for("1") = "1"
& identity_for("2") = "3"
& identity_for("3") = identity_for("2")
& identity_for("4") = identity_for("3") ) ).
fof(inverse,fi_functors,
( inverse("1","1") = "1"
& inverse("1","2") = "2"
& inverse("1","3") = "4"
& inverse("1","4") = "3"
& inverse("2","1") = "1"
& inverse("2","2") = "2"
& inverse("2","3") = "3"
& inverse("2","4") = "4"
& ! [X2] : inverse("3",X2) = inverse("2",X2)
& ! [X2] : inverse("4",X2) = inverse("3",X2) ) ).
fof(isomorphism1,fi_functors,
( isomorphism1("1") = "3"
& isomorphism1("2") = "4"
& isomorphism1("3") = "2"
& isomorphism1("4") = "3" ) ).
fof(isomorphism2,fi_functors,
( isomorphism2("1") = "4"
& isomorphism2("2") = "3"
& isomorphism2("3") = "1"
& isomorphism2("4") = "3" ) ).
fof(multiply,fi_functors,
( multiply("1","1","1") = "1"
& multiply("1","1","2") = "2"
& multiply("1","1","3") = "2"
& multiply("1","1","4") = "2"
& multiply("1","2","1") = "2"
& multiply("1","2","2") = "1"
& multiply("1","2","3") = "2"
& multiply("1","2","4") = "2"
& multiply("1","3","1") = "2"
& multiply("1","3","2") = "2"
& multiply("1","3","3") = "2"
& multiply("1","3","4") = "3"
& multiply("1","4","1") = "3"
& multiply("1","4","2") = "3"
& multiply("1","4","3") = "3"
& multiply("1","4","4") = "3"
& multiply("2","1","1") = "1"
& multiply("2","1","2") = "1"
& multiply("2","1","3") = "2"
& multiply("2","1","4") = "3"
& multiply("2","2","1") = "1"
& multiply("2","2","2") = "1"
& multiply("2","2","3") = "2"
& multiply("2","2","4") = "2"
& multiply("2","3","1") = "2"
& multiply("2","3","2") = "2"
& multiply("2","3","3") = "3"
& multiply("2","3","4") = "4"
& multiply("2","4","1") = "3"
& multiply("2","4","2") = "3"
& multiply("2","4","3") = "4"
& multiply("2","4","4") = "3"
& ! [X2,X3] : multiply("3",X2,X3) = multiply("2",X2,X3)
& ! [X2,X3] : multiply("4",X2,X3) = multiply("3",X2,X3) ) ).
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","1","4")
<=> $false )
& ( product("1","1","2","1")
<=> $false )
& ( product("1","1","2","2")
<=> $true )
& ( product("1","1","2","3")
<=> $false )
& ( product("1","1","2","4")
<=> $false )
& ( product("1","1","3","1")
<=> $false )
& ( product("1","1","3","2")
<=> $false )
& ( product("1","1","3","3")
<=> $true )
& ( product("1","1","3","4")
<=> $false )
& ( product("1","1","4","1")
<=> $false )
& ( product("1","1","4","2")
<=> $false )
& ( product("1","1","4","3")
<=> $false )
& ( product("1","1","4","4")
<=> $true )
& ( product("1","2","1","1")
<=> $false )
& ( product("1","2","1","2")
<=> $true )
& ( product("1","2","1","3")
<=> $false )
& ( product("1","2","1","4")
<=> $false )
& ( product("1","2","2","1")
<=> $true )
& ( product("1","2","2","2")
<=> $false )
& ( product("1","2","2","3")
<=> $false )
& ( product("1","2","2","4")
<=> $false )
& ( product("1","2","3","1")
<=> $false )
& ( product("1","2","3","2")
<=> $false )
& ( product("1","2","3","3")
<=> $false )
& ( product("1","2","3","4")
<=> $false )
& ( product("1","2","4","1")
<=> $false )
& ( product("1","2","4","2")
<=> $false )
& ( product("1","2","4","3")
<=> $false )
& ( product("1","2","4","4")
<=> $false )
& ( product("1","3","1","1")
<=> $false )
& ( product("1","3","1","2")
<=> $false )
& ( product("1","3","1","3")
<=> $true )
& ( product("1","3","1","4")
<=> $false )
& ( product("1","3","2","1")
<=> $false )
& ( product("1","3","2","2")
<=> $false )
& ( product("1","3","2","3")
<=> $false )
& ( product("1","3","2","4")
<=> $false )
& ( product("1","3","3","1")
<=> $false )
& ( product("1","3","3","2")
<=> $false )
& ( product("1","3","3","3")
<=> $false )
& ( product("1","3","3","4")
<=> $true )
& ( product("1","3","4","1")
<=> $true )
& ( product("1","3","4","2")
<=> $false )
& ( product("1","3","4","3")
<=> $false )
& ( product("1","3","4","4")
<=> $false )
& ( product("1","4","1","1")
<=> $false )
& ( product("1","4","1","2")
<=> $false )
& ( product("1","4","1","3")
<=> $false )
& ( product("1","4","1","4")
<=> $true )
& ( product("1","4","2","1")
<=> $false )
& ( product("1","4","2","2")
<=> $false )
& ( product("1","4","2","3")
<=> $false )
& ( product("1","4","2","4")
<=> $false )
& ( product("1","4","3","1")
<=> $true )
& ( product("1","4","3","2")
<=> $false )
& ( product("1","4","3","3")
<=> $false )
& ( product("1","4","3","4")
<=> $false )
& ( product("1","4","4","1")
<=> $false )
& ( product("1","4","4","2")
<=> $false )
& ( product("1","4","4","3")
<=> $true )
& ( product("1","4","4","4")
<=> $false )
& ( product("2","1","1","1")
<=> $false )
& ( product("2","1","1","2")
<=> $false )
& ( product("2","1","1","3")
<=> $true )
& ( product("2","1","1","4")
<=> $false )
& ( product("2","1","2","1")
<=> $false )
& ( product("2","1","2","2")
<=> $false )
& ( product("2","1","2","3")
<=> $false )
& ( product("2","1","2","4")
<=> $true )
& ( product("2","1","3","1")
<=> $true )
& ( product("2","1","3","2")
<=> $false )
& ( product("2","1","3","3")
<=> $false )
& ( product("2","1","3","4")
<=> $false )
& ( product("2","1","4","1")
<=> $false )
& ( product("2","1","4","2")
<=> $true )
& ( product("2","1","4","3")
<=> $false )
& ( product("2","1","4","4")
<=> $false )
& ( product("2","2","1","1")
<=> $false )
& ( product("2","2","1","2")
<=> $false )
& ( product("2","2","1","3")
<=> $false )
& ( product("2","2","1","4")
<=> $true )
& ( product("2","2","2","1")
<=> $false )
& ( product("2","2","2","2")
<=> $false )
& ( product("2","2","2","3")
<=> $true )
& ( product("2","2","2","4")
<=> $false )
& ( product("2","2","3","1")
<=> $false )
& ( product("2","2","3","2")
<=> $true )
& ( product("2","2","3","3")
<=> $false )
& ( product("2","2","3","4")
<=> $false )
& ( product("2","2","4","1")
<=> $true )
& ( product("2","2","4","2")
<=> $false )
& ( product("2","2","4","3")
<=> $false )
& ( product("2","2","4","4")
<=> $false )
& ( product("2","3","1","1")
<=> $true )
& ( product("2","3","1","2")
<=> $false )
& ( product("2","3","1","3")
<=> $false )
& ( product("2","3","1","4")
<=> $false )
& ( product("2","3","2","1")
<=> $false )
& ( product("2","3","2","2")
<=> $true )
& ( product("2","3","2","3")
<=> $false )
& ( product("2","3","2","4")
<=> $false )
& ( product("2","3","3","1")
<=> $false )
& ( product("2","3","3","2")
<=> $false )
& ( product("2","3","3","3")
<=> $true )
& ( product("2","3","3","4")
<=> $false )
& ( product("2","3","4","1")
<=> $false )
& ( product("2","3","4","2")
<=> $false )
& ( product("2","3","4","3")
<=> $false )
& ( product("2","3","4","4")
<=> $true )
& ( product("2","4","1","1")
<=> $false )
& ( product("2","4","1","2")
<=> $true )
& ( product("2","4","1","3")
<=> $false )
& ( product("2","4","1","4")
<=> $false )
& ( product("2","4","2","1")
<=> $true )
& ( product("2","4","2","2")
<=> $false )
& ( product("2","4","2","3")
<=> $false )
& ( product("2","4","2","4")
<=> $false )
& ( product("2","4","3","1")
<=> $false )
& ( product("2","4","3","2")
<=> $false )
& ( product("2","4","3","3")
<=> $false )
& ( product("2","4","3","4")
<=> $true )
& ( product("2","4","4","1")
<=> $false )
& ( product("2","4","4","2")
<=> $false )
& ( product("2","4","4","3")
<=> $true )
& ( product("2","4","4","4")
<=> $false )
& ! [X2,X3,X4] :
( product("3",X2,X3,X4)
<=> product("2",X2,X3,X4) )
& ! [X2,X3,X4] :
( product("4",X2,X3,X4)
<=> product("3",X2,X3,X4) ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP025-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 06:38:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Paradox, version 4.0, 2010-06-29.
% 0.13/0.35 +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.13/0.36 Reading 'Axioms/GRP006-0.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax') OK
% 0.13/0.36 +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42 +++ BEGIN MODEL
% 0.20/0.42 SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.42 +++ END MODEL
% 0.20/0.42 +++ RESULT: Satisfiable
% 0.20/0.42 SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------