TSTP Solution File: GRP123-6.005 by Paradox---4.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : GRP123-6.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n018.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 11:10:14 EDT 2022
% Result : Satisfiable 0.14s 0.38s
% Output : FiniteModel 0.14s
% Verified :
% SZS Type : FiniteModel
% Domain size : 5
% Comments :
%------------------------------------------------------------------------------
% domain size is 5
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2"
| X = "3"
| X = "4"
| X = "5" ) ).
fof(e_1,fi_functors,
e_1 = "1" ).
fof(e_2,fi_functors,
e_2 = "2" ).
fof(e_3,fi_functors,
e_3 = "3" ).
fof(e_4,fi_functors,
e_4 = "4" ).
fof(e_5,fi_functors,
e_5 = "5" ).
fof(equalish,fi_predicates,
( ( equalish("1","1")
<=> $true )
& ( equalish("1","2")
<=> $false )
& ( equalish("1","3")
<=> $false )
& ( equalish("1","4")
<=> $false )
& ( equalish("1","5")
<=> $false )
& ( equalish("2","1")
<=> $false )
& ( equalish("2","2")
<=> $true )
& ( equalish("2","3")
<=> $false )
& ( equalish("2","4")
<=> $false )
& ( equalish("2","5")
<=> $false )
& ( equalish("3","1")
<=> $false )
& ( equalish("3","2")
<=> $false )
& ( equalish("3","3")
<=> $true )
& ( equalish("3","4")
<=> $false )
& ( equalish("3","5")
<=> $false )
& ( equalish("4","1")
<=> $false )
& ( equalish("4","2")
<=> $false )
& ( equalish("4","3")
<=> $false )
& ( equalish("4","4")
<=> $true )
& ( equalish("4","5")
<=> $false )
& ( equalish("5","1")
<=> $false )
& ( equalish("5","2")
<=> $false )
& ( equalish("5","3")
<=> $false )
& ( equalish("5","4")
<=> $false )
& ( equalish("5","5")
<=> $true ) ) ).
fof(group_element,fi_predicates,
( ( group_element("1")
<=> $true )
& ( group_element("2")
<=> $true )
& ( group_element("3")
<=> $true )
& ( group_element("4")
<=> $true )
& ( group_element("5")
<=> $true ) ) ).
fof(product1,fi_predicates,
( ( product1("1","1","1")
<=> $true )
& ( product1("1","1","2")
<=> $false )
& ( product1("1","1","3")
<=> $false )
& ( product1("1","1","4")
<=> $false )
& ( product1("1","1","5")
<=> $false )
& ( product1("1","2","1")
<=> $false )
& ( product1("1","2","2")
<=> $false )
& ( product1("1","2","3")
<=> $true )
& ( product1("1","2","4")
<=> $false )
& ( product1("1","2","5")
<=> $false )
& ( product1("1","3","1")
<=> $false )
& ( product1("1","3","2")
<=> $true )
& ( product1("1","3","3")
<=> $false )
& ( product1("1","3","4")
<=> $false )
& ( product1("1","3","5")
<=> $false )
& ( product1("1","4","1")
<=> $false )
& ( product1("1","4","2")
<=> $false )
& ( product1("1","4","3")
<=> $false )
& ( product1("1","4","4")
<=> $false )
& ( product1("1","4","5")
<=> $true )
& ( product1("1","5","1")
<=> $false )
& ( product1("1","5","2")
<=> $false )
& ( product1("1","5","3")
<=> $false )
& ( product1("1","5","4")
<=> $true )
& ( product1("1","5","5")
<=> $false )
& ( product1("2","1","1")
<=> $false )
& ( product1("2","1","2")
<=> $false )
& ( product1("2","1","3")
<=> $false )
& ( product1("2","1","4")
<=> $false )
& ( product1("2","1","5")
<=> $true )
& ( product1("2","2","1")
<=> $false )
& ( product1("2","2","2")
<=> $true )
& ( product1("2","2","3")
<=> $false )
& ( product1("2","2","4")
<=> $false )
& ( product1("2","2","5")
<=> $false )
& ( product1("2","3","1")
<=> $false )
& ( product1("2","3","2")
<=> $false )
& ( product1("2","3","3")
<=> $false )
& ( product1("2","3","4")
<=> $true )
& ( product1("2","3","5")
<=> $false )
& ( product1("2","4","1")
<=> $false )
& ( product1("2","4","2")
<=> $false )
& ( product1("2","4","3")
<=> $true )
& ( product1("2","4","4")
<=> $false )
& ( product1("2","4","5")
<=> $false )
& ( product1("2","5","1")
<=> $true )
& ( product1("2","5","2")
<=> $false )
& ( product1("2","5","3")
<=> $false )
& ( product1("2","5","4")
<=> $false )
& ( product1("2","5","5")
<=> $false )
& ( product1("3","1","1")
<=> $false )
& ( product1("3","1","2")
<=> $false )
& ( product1("3","1","3")
<=> $false )
& ( product1("3","1","4")
<=> $true )
& ( product1("3","1","5")
<=> $false )
& ( product1("3","2","1")
<=> $false )
& ( product1("3","2","2")
<=> $false )
& ( product1("3","2","3")
<=> $false )
& ( product1("3","2","4")
<=> $false )
& ( product1("3","2","5")
<=> $true )
& ( product1("3","3","1")
<=> $false )
& ( product1("3","3","2")
<=> $false )
& ( product1("3","3","3")
<=> $true )
& ( product1("3","3","4")
<=> $false )
& ( product1("3","3","5")
<=> $false )
& ( product1("3","4","1")
<=> $true )
& ( product1("3","4","2")
<=> $false )
& ( product1("3","4","3")
<=> $false )
& ( product1("3","4","4")
<=> $false )
& ( product1("3","4","5")
<=> $false )
& ( product1("3","5","1")
<=> $false )
& ( product1("3","5","2")
<=> $true )
& ( product1("3","5","3")
<=> $false )
& ( product1("3","5","4")
<=> $false )
& ( product1("3","5","5")
<=> $false )
& ( product1("4","1","1")
<=> $false )
& ( product1("4","1","2")
<=> $true )
& ( product1("4","1","3")
<=> $false )
& ( product1("4","1","4")
<=> $false )
& ( product1("4","1","5")
<=> $false )
& ( product1("4","2","1")
<=> $true )
& ( product1("4","2","2")
<=> $false )
& ( product1("4","2","3")
<=> $false )
& ( product1("4","2","4")
<=> $false )
& ( product1("4","2","5")
<=> $false )
& ( product1("4","3","1")
<=> $false )
& ( product1("4","3","2")
<=> $false )
& ( product1("4","3","3")
<=> $false )
& ( product1("4","3","4")
<=> $false )
& ( product1("4","3","5")
<=> $true )
& ( product1("4","4","1")
<=> $false )
& ( product1("4","4","2")
<=> $false )
& ( product1("4","4","3")
<=> $false )
& ( product1("4","4","4")
<=> $true )
& ( product1("4","4","5")
<=> $false )
& ( product1("4","5","1")
<=> $false )
& ( product1("4","5","2")
<=> $false )
& ( product1("4","5","3")
<=> $true )
& ( product1("4","5","4")
<=> $false )
& ( product1("4","5","5")
<=> $false )
& ( product1("5","1","1")
<=> $false )
& ( product1("5","1","2")
<=> $false )
& ( product1("5","1","3")
<=> $true )
& ( product1("5","1","4")
<=> $false )
& ( product1("5","1","5")
<=> $false )
& ( product1("5","2","1")
<=> $false )
& ( product1("5","2","2")
<=> $false )
& ( product1("5","2","3")
<=> $false )
& ( product1("5","2","4")
<=> $true )
& ( product1("5","2","5")
<=> $false )
& ( product1("5","3","1")
<=> $true )
& ( product1("5","3","2")
<=> $false )
& ( product1("5","3","3")
<=> $false )
& ( product1("5","3","4")
<=> $false )
& ( product1("5","3","5")
<=> $false )
& ( product1("5","4","1")
<=> $false )
& ( product1("5","4","2")
<=> $true )
& ( product1("5","4","3")
<=> $false )
& ( product1("5","4","4")
<=> $false )
& ( product1("5","4","5")
<=> $false )
& ( product1("5","5","1")
<=> $false )
& ( product1("5","5","2")
<=> $false )
& ( product1("5","5","3")
<=> $false )
& ( product1("5","5","4")
<=> $false )
& ( product1("5","5","5")
<=> $true ) ) ).
fof(product2,fi_predicates,
( ( product2("1","1","1")
<=> $true )
& ( product2("1","1","2")
<=> $false )
& ( product2("1","1","3")
<=> $false )
& ( product2("1","1","4")
<=> $false )
& ( product2("1","1","5")
<=> $false )
& ( product2("1","2","1")
<=> $false )
& ( product2("1","2","2")
<=> $false )
& ( product2("1","2","3")
<=> $false )
& ( product2("1","2","4")
<=> $true )
& ( product2("1","2","5")
<=> $false )
& ( product2("1","3","1")
<=> $false )
& ( product2("1","3","2")
<=> $false )
& ( product2("1","3","3")
<=> $false )
& ( product2("1","3","4")
<=> $false )
& ( product2("1","3","5")
<=> $true )
& ( product2("1","4","1")
<=> $false )
& ( product2("1","4","2")
<=> $false )
& ( product2("1","4","3")
<=> $true )
& ( product2("1","4","4")
<=> $false )
& ( product2("1","4","5")
<=> $false )
& ( product2("1","5","1")
<=> $false )
& ( product2("1","5","2")
<=> $true )
& ( product2("1","5","3")
<=> $false )
& ( product2("1","5","4")
<=> $false )
& ( product2("1","5","5")
<=> $false )
& ( product2("2","1","1")
<=> $false )
& ( product2("2","1","2")
<=> $false )
& ( product2("2","1","3")
<=> $false )
& ( product2("2","1","4")
<=> $true )
& ( product2("2","1","5")
<=> $false )
& ( product2("2","2","1")
<=> $false )
& ( product2("2","2","2")
<=> $true )
& ( product2("2","2","3")
<=> $false )
& ( product2("2","2","4")
<=> $false )
& ( product2("2","2","5")
<=> $false )
& ( product2("2","3","1")
<=> $true )
& ( product2("2","3","2")
<=> $false )
& ( product2("2","3","3")
<=> $false )
& ( product2("2","3","4")
<=> $false )
& ( product2("2","3","5")
<=> $false )
& ( product2("2","4","1")
<=> $false )
& ( product2("2","4","2")
<=> $false )
& ( product2("2","4","3")
<=> $false )
& ( product2("2","4","4")
<=> $false )
& ( product2("2","4","5")
<=> $true )
& ( product2("2","5","1")
<=> $false )
& ( product2("2","5","2")
<=> $false )
& ( product2("2","5","3")
<=> $true )
& ( product2("2","5","4")
<=> $false )
& ( product2("2","5","5")
<=> $false )
& ( product2("3","1","1")
<=> $false )
& ( product2("3","1","2")
<=> $false )
& ( product2("3","1","3")
<=> $false )
& ( product2("3","1","4")
<=> $false )
& ( product2("3","1","5")
<=> $true )
& ( product2("3","2","1")
<=> $true )
& ( product2("3","2","2")
<=> $false )
& ( product2("3","2","3")
<=> $false )
& ( product2("3","2","4")
<=> $false )
& ( product2("3","2","5")
<=> $false )
& ( product2("3","3","1")
<=> $false )
& ( product2("3","3","2")
<=> $false )
& ( product2("3","3","3")
<=> $true )
& ( product2("3","3","4")
<=> $false )
& ( product2("3","3","5")
<=> $false )
& ( product2("3","4","1")
<=> $false )
& ( product2("3","4","2")
<=> $true )
& ( product2("3","4","3")
<=> $false )
& ( product2("3","4","4")
<=> $false )
& ( product2("3","4","5")
<=> $false )
& ( product2("3","5","1")
<=> $false )
& ( product2("3","5","2")
<=> $false )
& ( product2("3","5","3")
<=> $false )
& ( product2("3","5","4")
<=> $true )
& ( product2("3","5","5")
<=> $false )
& ( product2("4","1","1")
<=> $false )
& ( product2("4","1","2")
<=> $false )
& ( product2("4","1","3")
<=> $true )
& ( product2("4","1","4")
<=> $false )
& ( product2("4","1","5")
<=> $false )
& ( product2("4","2","1")
<=> $false )
& ( product2("4","2","2")
<=> $false )
& ( product2("4","2","3")
<=> $false )
& ( product2("4","2","4")
<=> $false )
& ( product2("4","2","5")
<=> $true )
& ( product2("4","3","1")
<=> $false )
& ( product2("4","3","2")
<=> $true )
& ( product2("4","3","3")
<=> $false )
& ( product2("4","3","4")
<=> $false )
& ( product2("4","3","5")
<=> $false )
& ( product2("4","4","1")
<=> $false )
& ( product2("4","4","2")
<=> $false )
& ( product2("4","4","3")
<=> $false )
& ( product2("4","4","4")
<=> $true )
& ( product2("4","4","5")
<=> $false )
& ( product2("4","5","1")
<=> $true )
& ( product2("4","5","2")
<=> $false )
& ( product2("4","5","3")
<=> $false )
& ( product2("4","5","4")
<=> $false )
& ( product2("4","5","5")
<=> $false )
& ( product2("5","1","1")
<=> $false )
& ( product2("5","1","2")
<=> $true )
& ( product2("5","1","3")
<=> $false )
& ( product2("5","1","4")
<=> $false )
& ( product2("5","1","5")
<=> $false )
& ( product2("5","2","1")
<=> $false )
& ( product2("5","2","2")
<=> $false )
& ( product2("5","2","3")
<=> $true )
& ( product2("5","2","4")
<=> $false )
& ( product2("5","2","5")
<=> $false )
& ( product2("5","3","1")
<=> $false )
& ( product2("5","3","2")
<=> $false )
& ( product2("5","3","3")
<=> $false )
& ( product2("5","3","4")
<=> $true )
& ( product2("5","3","5")
<=> $false )
& ( product2("5","4","1")
<=> $true )
& ( product2("5","4","2")
<=> $false )
& ( product2("5","4","3")
<=> $false )
& ( product2("5","4","4")
<=> $false )
& ( product2("5","4","5")
<=> $false )
& ( product2("5","5","1")
<=> $false )
& ( product2("5","5","2")
<=> $false )
& ( product2("5","5","3")
<=> $false )
& ( product2("5","5","4")
<=> $false )
& ( product2("5","5","5")
<=> $true ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP123-6.005 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.14/0.35 % Computer : n018.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 : Mon Jun 13 07:10:57 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Paradox, version 4.0, 2010-06-29.
% 0.14/0.35 +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.14/0.36 +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 +++ BEGIN MODEL
% 0.14/0.37 SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.38 +++ END MODEL
% 0.14/0.38 +++ RESULT: Satisfiable
% 0.14/0.38 SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------