TSTP Solution File: GRP124-8.005 by Paradox---4.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : GRP124-8.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n012.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 11:10:20 EDT 2022
% Result : Satisfiable 0.18s 0.39s
% Output : FiniteModel 0.18s
% Verified :
% SZS Type : FiniteModel
% Domain size : 6
% Comments :
%------------------------------------------------------------------------------
% domain size is 6
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2"
| X = "3"
| X = "4"
| X = "5"
| X = "6" ) ).
fof(cycle,fi_predicates,
( ( cycle("1","1")
<=> $false )
& ( cycle("1","2")
<=> $true )
& ( cycle("1","3")
<=> $false )
& ( cycle("1","4")
<=> $false )
& ( cycle("1","5")
<=> $false )
& ( cycle("1","6")
<=> $false )
& ( cycle("2","1")
<=> $true )
& ( cycle("2","2")
<=> $false )
& ( cycle("2","3")
<=> $false )
& ( cycle("2","4")
<=> $false )
& ( cycle("2","5")
<=> $false )
& ( cycle("2","6")
<=> $false )
& ( cycle("3","1")
<=> $false )
& ( cycle("3","2")
<=> $true )
& ( cycle("3","3")
<=> $false )
& ( cycle("3","4")
<=> $false )
& ( cycle("3","5")
<=> $false )
& ( cycle("3","6")
<=> $false )
& ( cycle("4","1")
<=> $true )
& ( cycle("4","2")
<=> $false )
& ( cycle("4","3")
<=> $false )
& ( cycle("4","4")
<=> $false )
& ( cycle("4","5")
<=> $false )
& ( cycle("4","6")
<=> $false )
& ( cycle("5","1")
<=> $false )
& ( cycle("5","2")
<=> $true )
& ( cycle("5","3")
<=> $false )
& ( cycle("5","4")
<=> $false )
& ( cycle("5","5")
<=> $false )
& ( cycle("5","6")
<=> $false )
& ( cycle("6","1")
<=> $true )
& ( cycle("6","2")
<=> $false )
& ( cycle("6","3")
<=> $false )
& ( cycle("6","4")
<=> $false )
& ( cycle("6","5")
<=> $false )
& ( cycle("6","6")
<=> $false ) ) ).
fof(e_0,fi_functors,
e_0 = "1" ).
fof(e_1,fi_functors,
e_1 = "2" ).
fof(e_2,fi_functors,
e_2 = "3" ).
fof(e_3,fi_functors,
e_3 = "4" ).
fof(e_4,fi_functors,
e_4 = "5" ).
fof(e_5,fi_functors,
e_5 = "6" ).
fof(equalish,fi_predicates,
( ( equalish("1","1")
<=> $true )
& ( equalish("1","2")
<=> $false )
& ( equalish("1","3")
<=> $true )
& ( equalish("1","4")
<=> $false )
& ( equalish("1","5")
<=> $true )
& ( equalish("1","6")
<=> $true )
& ( equalish("2","1")
<=> $false )
& ( equalish("2","2")
<=> $true )
& ( equalish("2","3")
<=> $false )
& ( equalish("2","4")
<=> $false )
& ( equalish("2","5")
<=> $false )
& ( equalish("2","6")
<=> $false )
& ( equalish("3","1")
<=> $false )
& ( equalish("3","2")
<=> $false )
& ( equalish("3","3")
<=> $true )
& ( equalish("3","4")
<=> $false )
& ( equalish("3","5")
<=> $false )
& ( equalish("3","6")
<=> $false )
& ( equalish("4","1")
<=> $false )
& ( equalish("4","2")
<=> $false )
& ( equalish("4","3")
<=> $false )
& ( equalish("4","4")
<=> $true )
& ( equalish("4","5")
<=> $false )
& ( equalish("4","6")
<=> $false )
& ( equalish("5","1")
<=> $false )
& ( equalish("5","2")
<=> $false )
& ( equalish("5","3")
<=> $false )
& ( equalish("5","4")
<=> $false )
& ( equalish("5","5")
<=> $true )
& ( equalish("5","6")
<=> $false )
& ( equalish("6","1")
<=> $true )
& ( equalish("6","2")
<=> $false )
& ( equalish("6","3")
<=> $false )
& ( equalish("6","4")
<=> $false )
& ( equalish("6","5")
<=> $false )
& ( equalish("6","6")
<=> $true ) ) ).
fof(greater,fi_predicates,
( ( greater("1","1")
<=> $true )
& ( greater("1","2")
<=> $false )
& ( greater("1","3")
<=> $true )
& ( greater("1","4")
<=> $true )
& ( greater("1","5")
<=> $true )
& ( greater("1","6")
<=> $false )
& ( greater("2","1")
<=> $true )
& ( greater("2","2")
<=> $false )
& ( greater("2","3")
<=> $true )
& ( greater("2","4")
<=> $true )
& ( greater("2","5")
<=> $true )
& ( greater("2","6")
<=> $false )
& ( greater("3","1")
<=> $true )
& ( greater("3","2")
<=> $true )
& ( greater("3","3")
<=> $false )
& ( greater("3","4")
<=> $true )
& ( greater("3","5")
<=> $true )
& ( greater("3","6")
<=> $false )
& ( greater("4","1")
<=> $true )
& ( greater("4","2")
<=> $true )
& ( greater("4","3")
<=> $true )
& ( greater("4","4")
<=> $false )
& ( greater("4","5")
<=> $true )
& ( greater("4","6")
<=> $false )
& ( greater("5","1")
<=> $true )
& ( greater("5","2")
<=> $true )
& ( greater("5","3")
<=> $true )
& ( greater("5","4")
<=> $true )
& ( greater("5","5")
<=> $false )
& ( greater("5","6")
<=> $false )
& ( greater("6","1")
<=> $true )
& ( greater("6","2")
<=> $true )
& ( greater("6","3")
<=> $true )
& ( greater("6","4")
<=> $true )
& ( greater("6","5")
<=> $true )
& ( greater("6","6")
<=> $false ) ) ).
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 )
& ( group_element("6")
<=> $true ) ) ).
fof(next,fi_predicates,
( ( next("1","1")
<=> $false )
& ( next("1","2")
<=> $true )
& ( next("1","3")
<=> $false )
& ( next("1","4")
<=> $false )
& ( next("1","5")
<=> $false )
& ( next("1","6")
<=> $false )
& ( next("2","1")
<=> $true )
& ( next("2","2")
<=> $false )
& ( next("2","3")
<=> $true )
& ( next("2","4")
<=> $false )
& ( next("2","5")
<=> $true )
& ( next("2","6")
<=> $false )
& ( next("3","1")
<=> $false )
& ( next("3","2")
<=> $true )
& ( next("3","3")
<=> $false )
& ( next("3","4")
<=> $true )
& ( next("3","5")
<=> $false )
& ( next("3","6")
<=> $true )
& ( next("4","1")
<=> $true )
& ( next("4","2")
<=> $false )
& ( next("4","3")
<=> $true )
& ( next("4","4")
<=> $false )
& ( next("4","5")
<=> $true )
& ( next("4","6")
<=> $false )
& ( next("5","1")
<=> $false )
& ( next("5","2")
<=> $true )
& ( next("5","3")
<=> $false )
& ( next("5","4")
<=> $true )
& ( next("5","5")
<=> $false )
& ( next("5","6")
<=> $true )
& ( next("6","1")
<=> $false )
& ( next("6","2")
<=> $false )
& ( next("6","3")
<=> $false )
& ( next("6","4")
<=> $false )
& ( next("6","5")
<=> $false )
& ( next("6","6")
<=> $false ) ) ).
fof(product,fi_predicates,
! [X1,X2,X3] :
( product(X1,X2,X3)
<=> $false ) ).
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","1","6")
<=> $true )
& ( product1("1","2","1")
<=> $false )
& ( product1("1","2","2")
<=> $false )
& ( product1("1","2","3")
<=> $false )
& ( product1("1","2","4")
<=> $false )
& ( product1("1","2","5")
<=> $true )
& ( product1("1","2","6")
<=> $false )
& ( product1("1","3","1")
<=> $false )
& ( product1("1","3","2")
<=> $false )
& ( product1("1","3","3")
<=> $false )
& ( product1("1","3","4")
<=> $true )
& ( product1("1","3","5")
<=> $false )
& ( product1("1","3","6")
<=> $false )
& ( product1("1","4","1")
<=> $false )
& ( product1("1","4","2")
<=> $false )
& ( product1("1","4","3")
<=> $true )
& ( product1("1","4","4")
<=> $false )
& ( product1("1","4","5")
<=> $false )
& ( product1("1","4","6")
<=> $false )
& ( product1("1","5","1")
<=> $false )
& ( product1("1","5","2")
<=> $true )
& ( product1("1","5","3")
<=> $false )
& ( product1("1","5","4")
<=> $false )
& ( product1("1","5","5")
<=> $false )
& ( product1("1","5","6")
<=> $false )
& ( product1("1","6","1")
<=> $false )
& ( product1("1","6","2")
<=> $false )
& ( product1("1","6","3")
<=> $false )
& ( product1("1","6","4")
<=> $false )
& ( product1("1","6","5")
<=> $false )
& ( product1("1","6","6")
<=> $true )
& ( product1("2","1","1")
<=> $false )
& ( product1("2","1","2")
<=> $false )
& ( product1("2","1","3")
<=> $false )
& ( product1("2","1","4")
<=> $true )
& ( product1("2","1","5")
<=> $false )
& ( product1("2","1","6")
<=> $false )
& ( 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","2","6")
<=> $false )
& ( product1("2","3","1")
<=> $false )
& ( product1("2","3","2")
<=> $false )
& ( product1("2","3","3")
<=> $false )
& ( product1("2","3","4")
<=> $false )
& ( product1("2","3","5")
<=> $true )
& ( product1("2","3","6")
<=> $false )
& ( product1("2","4","1")
<=> $false )
& ( product1("2","4","2")
<=> $false )
& ( product1("2","4","3")
<=> $false )
& ( product1("2","4","4")
<=> $false )
& ( product1("2","4","5")
<=> $false )
& ( product1("2","4","6")
<=> $true )
& ( product1("2","5","1")
<=> $false )
& ( product1("2","5","2")
<=> $false )
& ( product1("2","5","3")
<=> $true )
& ( product1("2","5","4")
<=> $false )
& ( product1("2","5","5")
<=> $false )
& ( product1("2","5","6")
<=> $false )
& ( product1("2","6","1")
<=> $false )
& ( product1("2","6","2")
<=> $false )
& ( product1("2","6","3")
<=> $false )
& ( product1("2","6","4")
<=> $true )
& ( product1("2","6","5")
<=> $false )
& ( product1("2","6","6")
<=> $false )
& ( product1("3","1","1")
<=> $false )
& ( product1("3","1","2")
<=> $true )
& ( product1("3","1","3")
<=> $false )
& ( product1("3","1","4")
<=> $false )
& ( product1("3","1","5")
<=> $false )
& ( product1("3","1","6")
<=> $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")
<=> $false )
& ( product1("3","2","6")
<=> $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","3","6")
<=> $false )
& ( product1("3","4","1")
<=> $false )
& ( product1("3","4","2")
<=> $false )
& ( product1("3","4","3")
<=> $false )
& ( product1("3","4","4")
<=> $false )
& ( product1("3","4","5")
<=> $true )
& ( product1("3","4","6")
<=> $false )
& ( product1("3","5","1")
<=> $false )
& ( product1("3","5","2")
<=> $false )
& ( product1("3","5","3")
<=> $false )
& ( product1("3","5","4")
<=> $true )
& ( product1("3","5","5")
<=> $false )
& ( product1("3","5","6")
<=> $false )
& ( product1("3","6","1")
<=> $false )
& ( product1("3","6","2")
<=> $true )
& ( product1("3","6","3")
<=> $false )
& ( product1("3","6","4")
<=> $false )
& ( product1("3","6","5")
<=> $false )
& ( product1("3","6","6")
<=> $false )
& ( product1("4","1","1")
<=> $false )
& ( product1("4","1","2")
<=> $false )
& ( product1("4","1","3")
<=> $false )
& ( product1("4","1","4")
<=> $false )
& ( product1("4","1","5")
<=> $true )
& ( product1("4","1","6")
<=> $false )
& ( product1("4","2","1")
<=> $false )
& ( product1("4","2","2")
<=> $false )
& ( product1("4","2","3")
<=> $true )
& ( product1("4","2","4")
<=> $false )
& ( product1("4","2","5")
<=> $false )
& ( product1("4","2","6")
<=> $false )
& ( product1("4","3","1")
<=> $false )
& ( product1("4","3","2")
<=> $true )
& ( product1("4","3","3")
<=> $false )
& ( product1("4","3","4")
<=> $false )
& ( product1("4","3","5")
<=> $false )
& ( product1("4","3","6")
<=> $false )
& ( 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","4","6")
<=> $false )
& ( product1("4","5","1")
<=> $false )
& ( product1("4","5","2")
<=> $false )
& ( product1("4","5","3")
<=> $false )
& ( product1("4","5","4")
<=> $false )
& ( product1("4","5","5")
<=> $false )
& ( product1("4","5","6")
<=> $true )
& ( product1("4","6","1")
<=> $false )
& ( product1("4","6","2")
<=> $false )
& ( product1("4","6","3")
<=> $false )
& ( product1("4","6","4")
<=> $false )
& ( product1("4","6","5")
<=> $true )
& ( product1("4","6","6")
<=> $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","1","6")
<=> $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","2","6")
<=> $false )
& ( product1("5","3","1")
<=> $false )
& ( product1("5","3","2")
<=> $false )
& ( product1("5","3","3")
<=> $false )
& ( product1("5","3","4")
<=> $false )
& ( product1("5","3","5")
<=> $false )
& ( product1("5","3","6")
<=> $true )
& ( 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","4","6")
<=> $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 )
& ( product1("5","5","6")
<=> $false )
& ( product1("5","6","1")
<=> $false )
& ( product1("5","6","2")
<=> $false )
& ( product1("5","6","3")
<=> $true )
& ( product1("5","6","4")
<=> $false )
& ( product1("5","6","5")
<=> $false )
& ( product1("5","6","6")
<=> $false )
& ( product1("6","1","1")
<=> $false )
& ( product1("6","1","2")
<=> $false )
& ( product1("6","1","3")
<=> $false )
& ( product1("6","1","4")
<=> $false )
& ( product1("6","1","5")
<=> $false )
& ( product1("6","1","6")
<=> $true )
& ( product1("6","2","1")
<=> $false )
& ( product1("6","2","2")
<=> $false )
& ( product1("6","2","3")
<=> $false )
& ( product1("6","2","4")
<=> $false )
& ( product1("6","2","5")
<=> $true )
& ( product1("6","2","6")
<=> $false )
& ( product1("6","3","1")
<=> $false )
& ( product1("6","3","2")
<=> $false )
& ( product1("6","3","3")
<=> $false )
& ( product1("6","3","4")
<=> $true )
& ( product1("6","3","5")
<=> $false )
& ( product1("6","3","6")
<=> $false )
& ( product1("6","4","1")
<=> $false )
& ( product1("6","4","2")
<=> $false )
& ( product1("6","4","3")
<=> $true )
& ( product1("6","4","4")
<=> $false )
& ( product1("6","4","5")
<=> $false )
& ( product1("6","4","6")
<=> $false )
& ( product1("6","5","1")
<=> $false )
& ( product1("6","5","2")
<=> $true )
& ( product1("6","5","3")
<=> $false )
& ( product1("6","5","4")
<=> $false )
& ( product1("6","5","5")
<=> $false )
& ( product1("6","5","6")
<=> $false )
& ( product1("6","6","1")
<=> $false )
& ( product1("6","6","2")
<=> $false )
& ( product1("6","6","3")
<=> $false )
& ( product1("6","6","4")
<=> $false )
& ( product1("6","6","5")
<=> $false )
& ( product1("6","6","6")
<=> $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","1","6")
<=> $true )
& ( product2("1","2","1")
<=> $false )
& ( product2("1","2","2")
<=> $false )
& ( product2("1","2","3")
<=> $false )
& ( product2("1","2","4")
<=> $false )
& ( product2("1","2","5")
<=> $true )
& ( product2("1","2","6")
<=> $false )
& ( product2("1","3","1")
<=> $false )
& ( product2("1","3","2")
<=> $false )
& ( product2("1","3","3")
<=> $false )
& ( product2("1","3","4")
<=> $true )
& ( product2("1","3","5")
<=> $false )
& ( product2("1","3","6")
<=> $false )
& ( 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","4","6")
<=> $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("1","5","6")
<=> $false )
& ( product2("1","6","1")
<=> $false )
& ( product2("1","6","2")
<=> $false )
& ( product2("1","6","3")
<=> $false )
& ( product2("1","6","4")
<=> $false )
& ( product2("1","6","5")
<=> $false )
& ( product2("1","6","6")
<=> $true )
& ( 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","1","6")
<=> $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","2","6")
<=> $false )
& ( product2("2","3","1")
<=> $false )
& ( product2("2","3","2")
<=> $false )
& ( product2("2","3","3")
<=> $false )
& ( product2("2","3","4")
<=> $false )
& ( product2("2","3","5")
<=> $true )
& ( product2("2","3","6")
<=> $false )
& ( product2("2","4","1")
<=> $true )
& ( product2("2","4","2")
<=> $false )
& ( product2("2","4","3")
<=> $false )
& ( product2("2","4","4")
<=> $false )
& ( product2("2","4","5")
<=> $false )
& ( product2("2","4","6")
<=> $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("2","5","6")
<=> $false )
& ( product2("2","6","1")
<=> $false )
& ( product2("2","6","2")
<=> $false )
& ( product2("2","6","3")
<=> $false )
& ( product2("2","6","4")
<=> $true )
& ( product2("2","6","5")
<=> $false )
& ( product2("2","6","6")
<=> $false )
& ( product2("3","1","1")
<=> $false )
& ( product2("3","1","2")
<=> $true )
& ( product2("3","1","3")
<=> $false )
& ( product2("3","1","4")
<=> $false )
& ( product2("3","1","5")
<=> $false )
& ( product2("3","1","6")
<=> $false )
& ( 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","2","6")
<=> $true )
& ( 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","3","6")
<=> $false )
& ( product2("3","4","1")
<=> $false )
& ( product2("3","4","2")
<=> $false )
& ( product2("3","4","3")
<=> $false )
& ( product2("3","4","4")
<=> $false )
& ( product2("3","4","5")
<=> $true )
& ( product2("3","4","6")
<=> $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("3","5","6")
<=> $false )
& ( product2("3","6","1")
<=> $false )
& ( product2("3","6","2")
<=> $true )
& ( product2("3","6","3")
<=> $false )
& ( product2("3","6","4")
<=> $false )
& ( product2("3","6","5")
<=> $false )
& ( product2("3","6","6")
<=> $false )
& ( product2("4","1","1")
<=> $false )
& ( product2("4","1","2")
<=> $false )
& ( product2("4","1","3")
<=> $false )
& ( product2("4","1","4")
<=> $false )
& ( product2("4","1","5")
<=> $true )
& ( product2("4","1","6")
<=> $false )
& ( product2("4","2","1")
<=> $false )
& ( product2("4","2","2")
<=> $false )
& ( product2("4","2","3")
<=> $true )
& ( product2("4","2","4")
<=> $false )
& ( product2("4","2","5")
<=> $false )
& ( product2("4","2","6")
<=> $false )
& ( 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","3","6")
<=> $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","4","6")
<=> $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("4","5","6")
<=> $true )
& ( product2("4","6","1")
<=> $false )
& ( product2("4","6","2")
<=> $false )
& ( product2("4","6","3")
<=> $false )
& ( product2("4","6","4")
<=> $false )
& ( product2("4","6","5")
<=> $true )
& ( product2("4","6","6")
<=> $false )
& ( product2("5","1","1")
<=> $false )
& ( product2("5","1","2")
<=> $false )
& ( product2("5","1","3")
<=> $true )
& ( product2("5","1","4")
<=> $false )
& ( product2("5","1","5")
<=> $false )
& ( product2("5","1","6")
<=> $false )
& ( product2("5","2","1")
<=> $false )
& ( product2("5","2","2")
<=> $false )
& ( product2("5","2","3")
<=> $false )
& ( product2("5","2","4")
<=> $true )
& ( product2("5","2","5")
<=> $false )
& ( product2("5","2","6")
<=> $false )
& ( product2("5","3","1")
<=> $true )
& ( product2("5","3","2")
<=> $false )
& ( product2("5","3","3")
<=> $false )
& ( product2("5","3","4")
<=> $false )
& ( product2("5","3","5")
<=> $false )
& ( product2("5","3","6")
<=> $true )
& ( product2("5","4","1")
<=> $false )
& ( product2("5","4","2")
<=> $true )
& ( product2("5","4","3")
<=> $false )
& ( product2("5","4","4")
<=> $false )
& ( product2("5","4","5")
<=> $false )
& ( product2("5","4","6")
<=> $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 )
& ( product2("5","5","6")
<=> $false )
& ( product2("5","6","1")
<=> $false )
& ( product2("5","6","2")
<=> $false )
& ( product2("5","6","3")
<=> $true )
& ( product2("5","6","4")
<=> $false )
& ( product2("5","6","5")
<=> $false )
& ( product2("5","6","6")
<=> $false )
& ( product2("6","1","1")
<=> $true )
& ( product2("6","1","2")
<=> $false )
& ( product2("6","1","3")
<=> $false )
& ( product2("6","1","4")
<=> $false )
& ( product2("6","1","5")
<=> $false )
& ( product2("6","1","6")
<=> $true )
& ( product2("6","2","1")
<=> $false )
& ( product2("6","2","2")
<=> $false )
& ( product2("6","2","3")
<=> $false )
& ( product2("6","2","4")
<=> $false )
& ( product2("6","2","5")
<=> $true )
& ( product2("6","2","6")
<=> $false )
& ( product2("6","3","1")
<=> $false )
& ( product2("6","3","2")
<=> $false )
& ( product2("6","3","3")
<=> $false )
& ( product2("6","3","4")
<=> $true )
& ( product2("6","3","5")
<=> $false )
& ( product2("6","3","6")
<=> $false )
& ( product2("6","4","1")
<=> $false )
& ( product2("6","4","2")
<=> $false )
& ( product2("6","4","3")
<=> $true )
& ( product2("6","4","4")
<=> $false )
& ( product2("6","4","5")
<=> $false )
& ( product2("6","4","6")
<=> $false )
& ( product2("6","5","1")
<=> $false )
& ( product2("6","5","2")
<=> $true )
& ( product2("6","5","3")
<=> $false )
& ( product2("6","5","4")
<=> $false )
& ( product2("6","5","5")
<=> $false )
& ( product2("6","5","6")
<=> $false )
& ( product2("6","6","1")
<=> $true )
& ( product2("6","6","2")
<=> $false )
& ( product2("6","6","3")
<=> $false )
& ( product2("6","6","4")
<=> $false )
& ( product2("6","6","5")
<=> $false )
& ( product2("6","6","6")
<=> $true ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP124-8.005 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.33 % Computer : n012.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 04:39:10 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
% 0.18/0.38 +++ BEGIN MODEL
% 0.18/0.38 SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.39 +++ END MODEL
% 0.18/0.39 +++ RESULT: Satisfiable
% 0.18/0.39 SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------