TSTP Solution File: PRO013+2 by Paradox---4.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : PRO013+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n010.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 : Mon Jul 18 17:51:41 EDT 2022
% Result : CounterSatisfiable 0.19s 0.45s
% Output : FiniteModel 0.19s
% 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(activity,fi_predicates,
( ( activity("1")
<=> $true )
& ( activity("2")
<=> $true )
& ( activity("3")
<=> $true )
& ( activity("4")
<=> $true )
& ( activity("5")
<=> $true ) ) ).
fof(activity_occurrence,fi_predicates,
( ( activity_occurrence("1")
<=> $true )
& ( activity_occurrence("2")
<=> $true )
& ( activity_occurrence("3")
<=> $true )
& ( activity_occurrence("4")
<=> $true )
& ( activity_occurrence("5")
<=> $true ) ) ).
fof(arboreal,fi_predicates,
( ( arboreal("1")
<=> $false )
& ( arboreal("2")
<=> $true )
& ( arboreal("3")
<=> $true )
& ( arboreal("4")
<=> $true )
& ( arboreal("5")
<=> $false ) ) ).
fof(atocc,fi_predicates,
( ( atocc("1","1")
<=> $false )
& ( atocc("1","2")
<=> $false )
& ( atocc("1","3")
<=> $false )
& ( atocc("1","4")
<=> $false )
& ( atocc("1","5")
<=> $false )
& ( atocc("2","1")
<=> $false )
& ( atocc("2","2")
<=> $true )
& ( atocc("2","3")
<=> $true )
& ( atocc("2","4")
<=> $true )
& ( atocc("2","5")
<=> $true )
& ( atocc("3","1")
<=> $false )
& ( atocc("3","2")
<=> $true )
& ( atocc("3","3")
<=> $false )
& ( atocc("3","4")
<=> $false )
& ( atocc("3","5")
<=> $true )
& ( atocc("4","1")
<=> $false )
& ( atocc("4","2")
<=> $true )
& ( atocc("4","3")
<=> $false )
& ( atocc("4","4")
<=> $true )
& ( atocc("4","5")
<=> $false )
& ( atocc("5","1")
<=> $false )
& ( atocc("5","2")
<=> $false )
& ( atocc("5","3")
<=> $false )
& ( atocc("5","4")
<=> $false )
& ( atocc("5","5")
<=> $false ) ) ).
fof(atomic,fi_predicates,
( ( atomic("1")
<=> $false )
& ( atomic("2")
<=> $true )
& ( atomic("3")
<=> $true )
& ( atomic("4")
<=> $true )
& ( atomic("5")
<=> $true ) ) ).
fof(earlier,fi_predicates,
( ( earlier("1","1")
<=> $false )
& ( earlier("1","2")
<=> $false )
& ( earlier("1","3")
<=> $false )
& ( earlier("1","4")
<=> $false )
& ( earlier("1","5")
<=> $false )
& ( earlier("2","1")
<=> $false )
& ( earlier("2","2")
<=> $false )
& ( earlier("2","3")
<=> $true )
& ( earlier("2","4")
<=> $true )
& ( earlier("2","5")
<=> $false )
& ( earlier("3","1")
<=> $false )
& ( earlier("3","2")
<=> $false )
& ( earlier("3","3")
<=> $false )
& ( earlier("3","4")
<=> $true )
& ( earlier("3","5")
<=> $false )
& ( earlier("4","1")
<=> $false )
& ( earlier("4","2")
<=> $false )
& ( earlier("4","3")
<=> $false )
& ( earlier("4","4")
<=> $false )
& ( earlier("4","5")
<=> $false )
& ( earlier("5","1")
<=> $false )
& ( earlier("5","2")
<=> $true )
& ( earlier("5","3")
<=> $true )
& ( earlier("5","4")
<=> $true )
& ( earlier("5","5")
<=> $false ) ) ).
fof(leaf,fi_predicates,
( ( leaf("1","1")
<=> $false )
& ( leaf("1","2")
<=> $false )
& ( leaf("1","3")
<=> $false )
& ( leaf("1","4")
<=> $false )
& ( leaf("1","5")
<=> $false )
& ( leaf("2","1")
<=> $false )
& ( leaf("2","2")
<=> $true )
& ( leaf("2","3")
<=> $true )
& ( leaf("2","4")
<=> $true )
& ( leaf("2","5")
<=> $true )
& ( leaf("3","1")
<=> $false )
& ( leaf("3","2")
<=> $true )
& ( leaf("3","3")
<=> $false )
& ( leaf("3","4")
<=> $true )
& ( leaf("3","5")
<=> $true )
& ( leaf("4","1")
<=> $true )
& ( leaf("4","2")
<=> $true )
& ( leaf("4","3")
<=> $false )
& ( leaf("4","4")
<=> $true )
& ( leaf("4","5")
<=> $true )
& ( leaf("5","1")
<=> $false )
& ( leaf("5","2")
<=> $false )
& ( leaf("5","3")
<=> $false )
& ( leaf("5","4")
<=> $false )
& ( leaf("5","5")
<=> $false ) ) ).
fof(leaf_occ,fi_predicates,
( ( leaf_occ("1","1")
<=> $false )
& ( leaf_occ("1","2")
<=> $false )
& ( leaf_occ("1","3")
<=> $false )
& ( leaf_occ("1","4")
<=> $false )
& ( leaf_occ("1","5")
<=> $false )
& ( leaf_occ("2","1")
<=> $false )
& ( leaf_occ("2","2")
<=> $false )
& ( leaf_occ("2","3")
<=> $false )
& ( leaf_occ("2","4")
<=> $false )
& ( leaf_occ("2","5")
<=> $false )
& ( leaf_occ("3","1")
<=> $false )
& ( leaf_occ("3","2")
<=> $false )
& ( leaf_occ("3","3")
<=> $false )
& ( leaf_occ("3","4")
<=> $false )
& ( leaf_occ("3","5")
<=> $false )
& ( leaf_occ("4","1")
<=> $false )
& ( leaf_occ("4","2")
<=> $false )
& ( leaf_occ("4","3")
<=> $false )
& ( leaf_occ("4","4")
<=> $false )
& ( leaf_occ("4","5")
<=> $true )
& ( leaf_occ("5","1")
<=> $false )
& ( leaf_occ("5","2")
<=> $false )
& ( leaf_occ("5","3")
<=> $false )
& ( leaf_occ("5","4")
<=> $false )
& ( leaf_occ("5","5")
<=> $false ) ) ).
fof(legal,fi_predicates,
( ( legal("1")
<=> $false )
& ( legal("2")
<=> $true )
& ( legal("3")
<=> $true )
& ( legal("4")
<=> $true )
& ( legal("5")
<=> $false ) ) ).
fof(min_precedes,fi_predicates,
( ( min_precedes("1","1","1")
<=> $false )
& ( min_precedes("1","1","2")
<=> $false )
& ( min_precedes("1","1","3")
<=> $false )
& ( min_precedes("1","1","4")
<=> $false )
& ( min_precedes("1","1","5")
<=> $false )
& ( min_precedes("1","2","1")
<=> $false )
& ( min_precedes("1","2","2")
<=> $false )
& ( min_precedes("1","2","3")
<=> $false )
& ( min_precedes("1","2","4")
<=> $false )
& ( min_precedes("1","2","5")
<=> $false )
& ( min_precedes("1","3","1")
<=> $false )
& ( min_precedes("1","3","2")
<=> $false )
& ( min_precedes("1","3","3")
<=> $false )
& ( min_precedes("1","3","4")
<=> $false )
& ( min_precedes("1","3","5")
<=> $false )
& ( min_precedes("1","4","1")
<=> $false )
& ( min_precedes("1","4","2")
<=> $false )
& ( min_precedes("1","4","3")
<=> $false )
& ( min_precedes("1","4","4")
<=> $false )
& ( min_precedes("1","4","5")
<=> $false )
& ( min_precedes("1","5","1")
<=> $false )
& ( min_precedes("1","5","2")
<=> $false )
& ( min_precedes("1","5","3")
<=> $false )
& ( min_precedes("1","5","4")
<=> $false )
& ( min_precedes("1","5","5")
<=> $false )
& ( min_precedes("2","1","1")
<=> $false )
& ( min_precedes("2","1","2")
<=> $false )
& ( min_precedes("2","1","3")
<=> $false )
& ( min_precedes("2","1","4")
<=> $false )
& ( min_precedes("2","1","5")
<=> $false )
& ( min_precedes("2","2","1")
<=> $false )
& ( min_precedes("2","2","2")
<=> $false )
& ( min_precedes("2","2","3")
<=> $false )
& ( min_precedes("2","2","4")
<=> $false )
& ( min_precedes("2","2","5")
<=> $false )
& ( min_precedes("2","3","1")
<=> $true )
& ( min_precedes("2","3","2")
<=> $false )
& ( min_precedes("2","3","3")
<=> $false )
& ( min_precedes("2","3","4")
<=> $false )
& ( min_precedes("2","3","5")
<=> $false )
& ( min_precedes("2","4","1")
<=> $true )
& ( min_precedes("2","4","2")
<=> $false )
& ( min_precedes("2","4","3")
<=> $false )
& ( min_precedes("2","4","4")
<=> $false )
& ( min_precedes("2","4","5")
<=> $false )
& ( min_precedes("2","5","1")
<=> $false )
& ( min_precedes("2","5","2")
<=> $false )
& ( min_precedes("2","5","3")
<=> $false )
& ( min_precedes("2","5","4")
<=> $false )
& ( min_precedes("2","5","5")
<=> $false )
& ( min_precedes("3","1","1")
<=> $false )
& ( min_precedes("3","1","2")
<=> $false )
& ( min_precedes("3","1","3")
<=> $false )
& ( min_precedes("3","1","4")
<=> $false )
& ( min_precedes("3","1","5")
<=> $false )
& ( min_precedes("3","2","1")
<=> $false )
& ( min_precedes("3","2","2")
<=> $false )
& ( min_precedes("3","2","3")
<=> $false )
& ( min_precedes("3","2","4")
<=> $false )
& ( min_precedes("3","2","5")
<=> $false )
& ( min_precedes("3","3","1")
<=> $false )
& ( min_precedes("3","3","2")
<=> $false )
& ( min_precedes("3","3","3")
<=> $false )
& ( min_precedes("3","3","4")
<=> $false )
& ( min_precedes("3","3","5")
<=> $false )
& ( min_precedes("3","4","1")
<=> $true )
& ( min_precedes("3","4","2")
<=> $false )
& ( min_precedes("3","4","3")
<=> $false )
& ( min_precedes("3","4","4")
<=> $false )
& ( min_precedes("3","4","5")
<=> $false )
& ( min_precedes("3","5","1")
<=> $false )
& ( min_precedes("3","5","2")
<=> $false )
& ( min_precedes("3","5","3")
<=> $false )
& ( min_precedes("3","5","4")
<=> $false )
& ( min_precedes("3","5","5")
<=> $false )
& ( min_precedes("4","1","1")
<=> $false )
& ( min_precedes("4","1","2")
<=> $false )
& ( min_precedes("4","1","3")
<=> $false )
& ( min_precedes("4","1","4")
<=> $false )
& ( min_precedes("4","1","5")
<=> $false )
& ( min_precedes("4","2","1")
<=> $false )
& ( min_precedes("4","2","2")
<=> $false )
& ( min_precedes("4","2","3")
<=> $false )
& ( min_precedes("4","2","4")
<=> $false )
& ( min_precedes("4","2","5")
<=> $false )
& ( min_precedes("4","3","1")
<=> $false )
& ( min_precedes("4","3","2")
<=> $false )
& ( min_precedes("4","3","3")
<=> $false )
& ( min_precedes("4","3","4")
<=> $false )
& ( min_precedes("4","3","5")
<=> $false )
& ( min_precedes("4","4","1")
<=> $false )
& ( min_precedes("4","4","2")
<=> $false )
& ( min_precedes("4","4","3")
<=> $false )
& ( min_precedes("4","4","4")
<=> $false )
& ( min_precedes("4","4","5")
<=> $false )
& ( min_precedes("4","5","1")
<=> $false )
& ( min_precedes("4","5","2")
<=> $false )
& ( min_precedes("4","5","3")
<=> $false )
& ( min_precedes("4","5","4")
<=> $false )
& ( min_precedes("4","5","5")
<=> $false )
& ( min_precedes("5","1","1")
<=> $false )
& ( min_precedes("5","1","2")
<=> $false )
& ( min_precedes("5","1","3")
<=> $false )
& ( min_precedes("5","1","4")
<=> $false )
& ( min_precedes("5","1","5")
<=> $false )
& ( min_precedes("5","2","1")
<=> $false )
& ( min_precedes("5","2","2")
<=> $false )
& ( min_precedes("5","2","3")
<=> $false )
& ( min_precedes("5","2","4")
<=> $false )
& ( min_precedes("5","2","5")
<=> $false )
& ( min_precedes("5","3","1")
<=> $false )
& ( min_precedes("5","3","2")
<=> $false )
& ( min_precedes("5","3","3")
<=> $false )
& ( min_precedes("5","3","4")
<=> $false )
& ( min_precedes("5","3","5")
<=> $false )
& ( min_precedes("5","4","1")
<=> $false )
& ( min_precedes("5","4","2")
<=> $false )
& ( min_precedes("5","4","3")
<=> $false )
& ( min_precedes("5","4","4")
<=> $false )
& ( min_precedes("5","4","5")
<=> $false )
& ( min_precedes("5","5","1")
<=> $false )
& ( min_precedes("5","5","2")
<=> $false )
& ( min_precedes("5","5","3")
<=> $false )
& ( min_precedes("5","5","4")
<=> $false )
& ( min_precedes("5","5","5")
<=> $false ) ) ).
fof(next_subocc,fi_predicates,
( ( next_subocc("1","1","1")
<=> $false )
& ( next_subocc("1","1","2")
<=> $false )
& ( next_subocc("1","1","3")
<=> $false )
& ( next_subocc("1","1","4")
<=> $false )
& ( next_subocc("1","1","5")
<=> $false )
& ( next_subocc("1","2","1")
<=> $false )
& ( next_subocc("1","2","2")
<=> $false )
& ( next_subocc("1","2","3")
<=> $false )
& ( next_subocc("1","2","4")
<=> $false )
& ( next_subocc("1","2","5")
<=> $false )
& ( next_subocc("1","3","1")
<=> $false )
& ( next_subocc("1","3","2")
<=> $false )
& ( next_subocc("1","3","3")
<=> $false )
& ( next_subocc("1","3","4")
<=> $false )
& ( next_subocc("1","3","5")
<=> $false )
& ( next_subocc("1","4","1")
<=> $false )
& ( next_subocc("1","4","2")
<=> $false )
& ( next_subocc("1","4","3")
<=> $false )
& ( next_subocc("1","4","4")
<=> $false )
& ( next_subocc("1","4","5")
<=> $false )
& ( next_subocc("1","5","1")
<=> $false )
& ( next_subocc("1","5","2")
<=> $false )
& ( next_subocc("1","5","3")
<=> $false )
& ( next_subocc("1","5","4")
<=> $false )
& ( next_subocc("1","5","5")
<=> $false )
& ( next_subocc("2","1","1")
<=> $false )
& ( next_subocc("2","1","2")
<=> $false )
& ( next_subocc("2","1","3")
<=> $false )
& ( next_subocc("2","1","4")
<=> $false )
& ( next_subocc("2","1","5")
<=> $false )
& ( next_subocc("2","2","1")
<=> $false )
& ( next_subocc("2","2","2")
<=> $false )
& ( next_subocc("2","2","3")
<=> $false )
& ( next_subocc("2","2","4")
<=> $false )
& ( next_subocc("2","2","5")
<=> $false )
& ( next_subocc("2","3","1")
<=> $true )
& ( next_subocc("2","3","2")
<=> $false )
& ( next_subocc("2","3","3")
<=> $false )
& ( next_subocc("2","3","4")
<=> $false )
& ( next_subocc("2","3","5")
<=> $false )
& ( next_subocc("2","4","1")
<=> $false )
& ( next_subocc("2","4","2")
<=> $false )
& ( next_subocc("2","4","3")
<=> $false )
& ( next_subocc("2","4","4")
<=> $false )
& ( next_subocc("2","4","5")
<=> $false )
& ( next_subocc("2","5","1")
<=> $false )
& ( next_subocc("2","5","2")
<=> $false )
& ( next_subocc("2","5","3")
<=> $false )
& ( next_subocc("2","5","4")
<=> $false )
& ( next_subocc("2","5","5")
<=> $false )
& ( next_subocc("3","1","1")
<=> $false )
& ( next_subocc("3","1","2")
<=> $false )
& ( next_subocc("3","1","3")
<=> $false )
& ( next_subocc("3","1","4")
<=> $false )
& ( next_subocc("3","1","5")
<=> $false )
& ( next_subocc("3","2","1")
<=> $false )
& ( next_subocc("3","2","2")
<=> $false )
& ( next_subocc("3","2","3")
<=> $false )
& ( next_subocc("3","2","4")
<=> $false )
& ( next_subocc("3","2","5")
<=> $false )
& ( next_subocc("3","3","1")
<=> $false )
& ( next_subocc("3","3","2")
<=> $false )
& ( next_subocc("3","3","3")
<=> $false )
& ( next_subocc("3","3","4")
<=> $false )
& ( next_subocc("3","3","5")
<=> $false )
& ( next_subocc("3","4","1")
<=> $true )
& ( next_subocc("3","4","2")
<=> $false )
& ( next_subocc("3","4","3")
<=> $false )
& ( next_subocc("3","4","4")
<=> $false )
& ( next_subocc("3","4","5")
<=> $false )
& ( next_subocc("3","5","1")
<=> $false )
& ( next_subocc("3","5","2")
<=> $false )
& ( next_subocc("3","5","3")
<=> $false )
& ( next_subocc("3","5","4")
<=> $false )
& ( next_subocc("3","5","5")
<=> $false )
& ( next_subocc("4","1","1")
<=> $false )
& ( next_subocc("4","1","2")
<=> $false )
& ( next_subocc("4","1","3")
<=> $false )
& ( next_subocc("4","1","4")
<=> $false )
& ( next_subocc("4","1","5")
<=> $false )
& ( next_subocc("4","2","1")
<=> $false )
& ( next_subocc("4","2","2")
<=> $false )
& ( next_subocc("4","2","3")
<=> $false )
& ( next_subocc("4","2","4")
<=> $false )
& ( next_subocc("4","2","5")
<=> $false )
& ( next_subocc("4","3","1")
<=> $false )
& ( next_subocc("4","3","2")
<=> $false )
& ( next_subocc("4","3","3")
<=> $false )
& ( next_subocc("4","3","4")
<=> $false )
& ( next_subocc("4","3","5")
<=> $false )
& ( next_subocc("4","4","1")
<=> $false )
& ( next_subocc("4","4","2")
<=> $false )
& ( next_subocc("4","4","3")
<=> $false )
& ( next_subocc("4","4","4")
<=> $false )
& ( next_subocc("4","4","5")
<=> $false )
& ( next_subocc("4","5","1")
<=> $false )
& ( next_subocc("4","5","2")
<=> $false )
& ( next_subocc("4","5","3")
<=> $false )
& ( next_subocc("4","5","4")
<=> $false )
& ( next_subocc("4","5","5")
<=> $false )
& ( next_subocc("5","1","1")
<=> $false )
& ( next_subocc("5","1","2")
<=> $false )
& ( next_subocc("5","1","3")
<=> $false )
& ( next_subocc("5","1","4")
<=> $false )
& ( next_subocc("5","1","5")
<=> $false )
& ( next_subocc("5","2","1")
<=> $false )
& ( next_subocc("5","2","2")
<=> $false )
& ( next_subocc("5","2","3")
<=> $false )
& ( next_subocc("5","2","4")
<=> $false )
& ( next_subocc("5","2","5")
<=> $false )
& ( next_subocc("5","3","1")
<=> $false )
& ( next_subocc("5","3","2")
<=> $false )
& ( next_subocc("5","3","3")
<=> $false )
& ( next_subocc("5","3","4")
<=> $false )
& ( next_subocc("5","3","5")
<=> $false )
& ( next_subocc("5","4","1")
<=> $false )
& ( next_subocc("5","4","2")
<=> $false )
& ( next_subocc("5","4","3")
<=> $false )
& ( next_subocc("5","4","4")
<=> $false )
& ( next_subocc("5","4","5")
<=> $false )
& ( next_subocc("5","5","1")
<=> $false )
& ( next_subocc("5","5","2")
<=> $false )
& ( next_subocc("5","5","3")
<=> $false )
& ( next_subocc("5","5","4")
<=> $false )
& ( next_subocc("5","5","5")
<=> $false ) ) ).
fof(occurrence_of,fi_predicates,
( ( occurrence_of("1","1")
<=> $true )
& ( occurrence_of("1","2")
<=> $false )
& ( occurrence_of("1","3")
<=> $false )
& ( occurrence_of("1","4")
<=> $false )
& ( occurrence_of("1","5")
<=> $false )
& ( occurrence_of("2","1")
<=> $false )
& ( occurrence_of("2","2")
<=> $false )
& ( occurrence_of("2","3")
<=> $false )
& ( occurrence_of("2","4")
<=> $true )
& ( occurrence_of("2","5")
<=> $false )
& ( occurrence_of("3","1")
<=> $false )
& ( occurrence_of("3","2")
<=> $false )
& ( occurrence_of("3","3")
<=> $false )
& ( occurrence_of("3","4")
<=> $false )
& ( occurrence_of("3","5")
<=> $true )
& ( occurrence_of("4","1")
<=> $false )
& ( occurrence_of("4","2")
<=> $true )
& ( occurrence_of("4","3")
<=> $false )
& ( occurrence_of("4","4")
<=> $false )
& ( occurrence_of("4","5")
<=> $false )
& ( occurrence_of("5","1")
<=> $true )
& ( occurrence_of("5","2")
<=> $false )
& ( occurrence_of("5","3")
<=> $false )
& ( occurrence_of("5","4")
<=> $false )
& ( occurrence_of("5","5")
<=> $false ) ) ).
fof(precedes,fi_predicates,
( ( precedes("1","1")
<=> $false )
& ( precedes("1","2")
<=> $false )
& ( precedes("1","3")
<=> $false )
& ( precedes("1","4")
<=> $false )
& ( precedes("1","5")
<=> $false )
& ( precedes("2","1")
<=> $false )
& ( precedes("2","2")
<=> $false )
& ( precedes("2","3")
<=> $true )
& ( precedes("2","4")
<=> $true )
& ( precedes("2","5")
<=> $false )
& ( precedes("3","1")
<=> $false )
& ( precedes("3","2")
<=> $false )
& ( precedes("3","3")
<=> $false )
& ( precedes("3","4")
<=> $true )
& ( precedes("3","5")
<=> $false )
& ( precedes("4","1")
<=> $false )
& ( precedes("4","2")
<=> $false )
& ( precedes("4","3")
<=> $false )
& ( precedes("4","4")
<=> $false )
& ( precedes("4","5")
<=> $false )
& ( precedes("5","1")
<=> $false )
& ( precedes("5","2")
<=> $true )
& ( precedes("5","3")
<=> $true )
& ( precedes("5","4")
<=> $true )
& ( precedes("5","5")
<=> $false ) ) ).
fof(root,fi_predicates,
( ( root("1","1")
<=> $false )
& ( root("1","2")
<=> $false )
& ( root("1","3")
<=> $false )
& ( root("1","4")
<=> $false )
& ( root("1","5")
<=> $false )
& ( root("2","1")
<=> $true )
& ( root("2","2")
<=> $true )
& ( root("2","3")
<=> $true )
& ( root("2","4")
<=> $true )
& ( root("2","5")
<=> $true )
& ( root("3","1")
<=> $false )
& ( root("3","2")
<=> $true )
& ( root("3","3")
<=> $false )
& ( root("3","4")
<=> $true )
& ( root("3","5")
<=> $true )
& ( root("4","1")
<=> $false )
& ( root("4","2")
<=> $true )
& ( root("4","3")
<=> $false )
& ( root("4","4")
<=> $true )
& ( root("4","5")
<=> $true )
& ( root("5","1")
<=> $false )
& ( root("5","2")
<=> $false )
& ( root("5","3")
<=> $false )
& ( root("5","4")
<=> $false )
& ( root("5","5")
<=> $false ) ) ).
fof(root_occ,fi_predicates,
( ( root_occ("1","1")
<=> $false )
& ( root_occ("1","2")
<=> $false )
& ( root_occ("1","3")
<=> $false )
& ( root_occ("1","4")
<=> $false )
& ( root_occ("1","5")
<=> $false )
& ( root_occ("2","1")
<=> $true )
& ( root_occ("2","2")
<=> $false )
& ( root_occ("2","3")
<=> $false )
& ( root_occ("2","4")
<=> $false )
& ( root_occ("2","5")
<=> $true )
& ( root_occ("3","1")
<=> $false )
& ( root_occ("3","2")
<=> $false )
& ( root_occ("3","3")
<=> $false )
& ( root_occ("3","4")
<=> $false )
& ( root_occ("3","5")
<=> $false )
& ( root_occ("4","1")
<=> $false )
& ( root_occ("4","2")
<=> $false )
& ( root_occ("4","3")
<=> $false )
& ( root_occ("4","4")
<=> $false )
& ( root_occ("4","5")
<=> $false )
& ( root_occ("5","1")
<=> $false )
& ( root_occ("5","2")
<=> $false )
& ( root_occ("5","3")
<=> $false )
& ( root_occ("5","4")
<=> $false )
& ( root_occ("5","5")
<=> $false ) ) ).
fof(sK101_sos_32_X96,fi_functors,
( sK101_sos_32_X96("1") = "2"
& sK101_sos_32_X96("2") = "1"
& sK101_sos_32_X96("3") = "2"
& sK101_sos_32_X96("4") = "3"
& sK101_sos_32_X96("5") = "2" ) ).
fof(sK102_sos_32_X97,fi_functors,
( sK102_sos_32_X97("1") = "3"
& sK102_sos_32_X97("2") = "2"
& sK102_sos_32_X97("3") = "2"
& sK102_sos_32_X97("4") = "3"
& sK102_sos_32_X97("5") = "3" ) ).
fof(sK103_sos_32_X98,fi_functors,
( sK103_sos_32_X98("1") = "4"
& sK103_sos_32_X98("2") = "1"
& sK103_sos_32_X98("3") = "1"
& sK103_sos_32_X98("4") = "3"
& sK103_sos_32_X98("5") = "4" ) ).
fof(sK106_goals_X100,fi_functors,
sK106_goals_X100 = "1" ).
fof(sK15_sos_04_X18,fi_functors,
( sK15_sos_04_X18("1","1","1") = "1"
& sK15_sos_04_X18("1","1","2") = "3"
& sK15_sos_04_X18("1","1","3") = "3"
& sK15_sos_04_X18("1","1","4") = "5"
& sK15_sos_04_X18("1","1","5") = "5"
& sK15_sos_04_X18("1","2","1") = "1"
& sK15_sos_04_X18("1","2","2") = "5"
& sK15_sos_04_X18("1","2","3") = "1"
& sK15_sos_04_X18("1","2","4") = "3"
& sK15_sos_04_X18("1","2","5") = "4"
& sK15_sos_04_X18("1","3","1") = "1"
& sK15_sos_04_X18("1","3","2") = "1"
& sK15_sos_04_X18("1","3","3") = "2"
& sK15_sos_04_X18("1","3","4") = "4"
& sK15_sos_04_X18("1","3","5") = "4"
& sK15_sos_04_X18("1","4","1") = "5"
& sK15_sos_04_X18("1","4","2") = "3"
& sK15_sos_04_X18("1","4","3") = "3"
& sK15_sos_04_X18("1","4","4") = "5"
& sK15_sos_04_X18("1","4","5") = "4"
& sK15_sos_04_X18("1","5","1") = "4"
& sK15_sos_04_X18("1","5","2") = "4"
& sK15_sos_04_X18("1","5","3") = "4"
& sK15_sos_04_X18("1","5","4") = "5"
& sK15_sos_04_X18("1","5","5") = "4"
& sK15_sos_04_X18("2","1","1") = "1"
& sK15_sos_04_X18("2","1","2") = "5"
& sK15_sos_04_X18("2","1","3") = "3"
& sK15_sos_04_X18("2","1","4") = "5"
& sK15_sos_04_X18("2","1","5") = "5"
& sK15_sos_04_X18("2","2","1") = "1"
& sK15_sos_04_X18("2","2","2") = "5"
& sK15_sos_04_X18("2","2","3") = "1"
& sK15_sos_04_X18("2","2","4") = "5"
& sK15_sos_04_X18("2","2","5") = "5"
& sK15_sos_04_X18("2","3","1") = "5"
& sK15_sos_04_X18("2","3","2") = "1"
& sK15_sos_04_X18("2","3","3") = "5"
& sK15_sos_04_X18("2","3","4") = "3"
& sK15_sos_04_X18("2","3","5") = "5"
& sK15_sos_04_X18("2","4","1") = "3"
& sK15_sos_04_X18("2","4","2") = "3"
& sK15_sos_04_X18("2","4","3") = "5"
& sK15_sos_04_X18("2","4","4") = "3"
& sK15_sos_04_X18("2","4","5") = "5"
& sK15_sos_04_X18("2","5","1") = "4"
& sK15_sos_04_X18("2","5","2") = "5"
& sK15_sos_04_X18("2","5","3") = "5"
& sK15_sos_04_X18("2","5","4") = "4"
& sK15_sos_04_X18("2","5","5") = "5"
& sK15_sos_04_X18("3","1","1") = "1"
& sK15_sos_04_X18("3","1","2") = "5"
& sK15_sos_04_X18("3","1","3") = "1"
& sK15_sos_04_X18("3","1","4") = "3"
& sK15_sos_04_X18("3","1","5") = "4"
& sK15_sos_04_X18("3","2","1") = "4"
& sK15_sos_04_X18("3","2","2") = "2"
& sK15_sos_04_X18("3","2","3") = "1"
& sK15_sos_04_X18("3","2","4") = "1"
& sK15_sos_04_X18("3","2","5") = "5"
& sK15_sos_04_X18("3","3","1") = "1"
& sK15_sos_04_X18("3","3","2") = "1"
& sK15_sos_04_X18("3","3","3") = "3"
& sK15_sos_04_X18("3","3","4") = "2"
& sK15_sos_04_X18("3","3","5") = "5"
& sK15_sos_04_X18("3","4","1") = "3"
& sK15_sos_04_X18("3","4","2") = "5"
& sK15_sos_04_X18("3","4","3") = "3"
& sK15_sos_04_X18("3","4","4") = "3"
& sK15_sos_04_X18("3","4","5") = "5"
& sK15_sos_04_X18("3","5","1") = "5"
& sK15_sos_04_X18("3","5","2") = "4"
& sK15_sos_04_X18("3","5","3") = "5"
& sK15_sos_04_X18("3","5","4") = "5"
& sK15_sos_04_X18("3","5","5") = "5"
& sK15_sos_04_X18("4","1","1") = "3"
& sK15_sos_04_X18("4","1","2") = "5"
& sK15_sos_04_X18("4","1","3") = "5"
& sK15_sos_04_X18("4","1","4") = "5"
& sK15_sos_04_X18("4","1","5") = "5"
& sK15_sos_04_X18("4","2","1") = "5"
& sK15_sos_04_X18("4","2","2") = "1"
& sK15_sos_04_X18("4","2","3") = "3"
& sK15_sos_04_X18("4","2","4") = "5"
& sK15_sos_04_X18("4","2","5") = "5"
& sK15_sos_04_X18("4","3","1") = "2"
& sK15_sos_04_X18("4","3","2") = "3"
& sK15_sos_04_X18("4","3","3") = "5"
& sK15_sos_04_X18("4","3","4") = "5"
& sK15_sos_04_X18("4","3","5") = "5"
& sK15_sos_04_X18("4","4","1") = "3"
& sK15_sos_04_X18("4","4","2") = "3"
& sK15_sos_04_X18("4","4","3") = "5"
& sK15_sos_04_X18("4","4","4") = "3"
& sK15_sos_04_X18("4","4","5") = "5"
& sK15_sos_04_X18("4","5","1") = "5"
& sK15_sos_04_X18("4","5","2") = "5"
& sK15_sos_04_X18("4","5","3") = "5"
& sK15_sos_04_X18("4","5","4") = "5"
& sK15_sos_04_X18("4","5","5") = "5"
& sK15_sos_04_X18("5","1","1") = "4"
& sK15_sos_04_X18("5","1","2") = "5"
& sK15_sos_04_X18("5","1","3") = "5"
& sK15_sos_04_X18("5","1","4") = "5"
& sK15_sos_04_X18("5","1","5") = "5"
& sK15_sos_04_X18("5","2","1") = "4"
& sK15_sos_04_X18("5","2","2") = "4"
& sK15_sos_04_X18("5","2","3") = "4"
& sK15_sos_04_X18("5","2","4") = "5"
& sK15_sos_04_X18("5","2","5") = "5"
& sK15_sos_04_X18("5","3","1") = "5"
& sK15_sos_04_X18("5","3","2") = "5"
& sK15_sos_04_X18("5","3","3") = "5"
& sK15_sos_04_X18("5","3","4") = "5"
& sK15_sos_04_X18("5","3","5") = "5"
& sK15_sos_04_X18("5","4","1") = "4"
& sK15_sos_04_X18("5","4","2") = "4"
& sK15_sos_04_X18("5","4","3") = "5"
& sK15_sos_04_X18("5","4","4") = "5"
& sK15_sos_04_X18("5","4","5") = "5"
& sK15_sos_04_X18("5","5","1") = "5"
& sK15_sos_04_X18("5","5","2") = "4"
& sK15_sos_04_X18("5","5","3") = "5"
& sK15_sos_04_X18("5","5","4") = "5"
& sK15_sos_04_X18("5","5","5") = "5" ) ).
fof(sK33_sos_10_X34,fi_functors,
( sK33_sos_10_X34("1","1") = "2"
& sK33_sos_10_X34("1","2") = "1"
& sK33_sos_10_X34("1","3") = "1"
& sK33_sos_10_X34("1","4") = "3"
& sK33_sos_10_X34("1","5") = "4"
& sK33_sos_10_X34("2","1") = "1"
& sK33_sos_10_X34("2","2") = "2"
& sK33_sos_10_X34("2","3") = "1"
& sK33_sos_10_X34("2","4") = "3"
& sK33_sos_10_X34("2","5") = "1"
& sK33_sos_10_X34("3","1") = "1"
& sK33_sos_10_X34("3","2") = "3"
& sK33_sos_10_X34("3","3") = "1"
& sK33_sos_10_X34("3","4") = "3"
& sK33_sos_10_X34("3","5") = "1"
& sK33_sos_10_X34("4","1") = "1"
& sK33_sos_10_X34("4","2") = "4"
& sK33_sos_10_X34("4","3") = "3"
& sK33_sos_10_X34("4","4") = "3"
& sK33_sos_10_X34("4","5") = "1"
& sK33_sos_10_X34("5","1") = "1"
& sK33_sos_10_X34("5","2") = "4"
& sK33_sos_10_X34("5","3") = "4"
& sK33_sos_10_X34("5","4") = "4"
& sK33_sos_10_X34("5","5") = "4" ) ).
fof(sK37_sos_11_X37,fi_functors,
( sK37_sos_11_X37("1","1") = "1"
& sK37_sos_11_X37("1","2") = "1"
& sK37_sos_11_X37("1","3") = "1"
& sK37_sos_11_X37("1","4") = "3"
& sK37_sos_11_X37("1","5") = "5"
& sK37_sos_11_X37("2","1") = "1"
& sK37_sos_11_X37("2","2") = "1"
& sK37_sos_11_X37("2","3") = "1"
& sK37_sos_11_X37("2","4") = "5"
& sK37_sos_11_X37("2","5") = "5"
& sK37_sos_11_X37("3","1") = "1"
& sK37_sos_11_X37("3","2") = "1"
& sK37_sos_11_X37("3","3") = "2"
& sK37_sos_11_X37("3","4") = "2"
& sK37_sos_11_X37("3","5") = "1"
& sK37_sos_11_X37("4","1") = "1"
& sK37_sos_11_X37("4","2") = "5"
& sK37_sos_11_X37("4","3") = "5"
& sK37_sos_11_X37("4","4") = "5"
& sK37_sos_11_X37("4","5") = "1"
& sK37_sos_11_X37("5","1") = "5"
& sK37_sos_11_X37("5","2") = "5"
& sK37_sos_11_X37("5","3") = "5"
& sK37_sos_11_X37("5","4") = "5"
& sK37_sos_11_X37("5","5") = "5" ) ).
fof(sK45_sos_14_X44,fi_functors,
( sK45_sos_14_X44("1","1") = "2"
& sK45_sos_14_X44("1","2") = "1"
& sK45_sos_14_X44("1","3") = "2"
& sK45_sos_14_X44("1","4") = "2"
& sK45_sos_14_X44("1","5") = "5"
& sK45_sos_14_X44("2","1") = "1"
& sK45_sos_14_X44("2","2") = "5"
& sK45_sos_14_X44("2","3") = "2"
& sK45_sos_14_X44("2","4") = "3"
& sK45_sos_14_X44("2","5") = "4"
& sK45_sos_14_X44("3","1") = "2"
& sK45_sos_14_X44("3","2") = "5"
& sK45_sos_14_X44("3","3") = "2"
& sK45_sos_14_X44("3","4") = "5"
& sK45_sos_14_X44("3","5") = "5"
& sK45_sos_14_X44("4","1") = "2"
& sK45_sos_14_X44("4","2") = "1"
& sK45_sos_14_X44("4","3") = "5"
& sK45_sos_14_X44("4","4") = "2"
& sK45_sos_14_X44("4","5") = "5"
& sK45_sos_14_X44("5","1") = "5"
& sK45_sos_14_X44("5","2") = "5"
& sK45_sos_14_X44("5","3") = "5"
& sK45_sos_14_X44("5","4") = "5"
& sK45_sos_14_X44("5","5") = "5" ) ).
fof(sK46_sos_14_X45,fi_functors,
( sK46_sos_14_X45("1","1") = "1"
& sK46_sos_14_X45("1","2") = "1"
& sK46_sos_14_X45("1","3") = "4"
& sK46_sos_14_X45("1","4") = "5"
& sK46_sos_14_X45("1","5") = "4"
& sK46_sos_14_X45("2","1") = "4"
& sK46_sos_14_X45("2","2") = "3"
& sK46_sos_14_X45("2","3") = "1"
& sK46_sos_14_X45("2","4") = "5"
& sK46_sos_14_X45("2","5") = "5"
& sK46_sos_14_X45("3","1") = "4"
& sK46_sos_14_X45("3","2") = "5"
& sK46_sos_14_X45("3","3") = "1"
& sK46_sos_14_X45("3","4") = "1"
& sK46_sos_14_X45("3","5") = "5"
& sK46_sos_14_X45("4","1") = "3"
& sK46_sos_14_X45("4","2") = "3"
& sK46_sos_14_X45("4","3") = "3"
& sK46_sos_14_X45("4","4") = "3"
& sK46_sos_14_X45("4","5") = "5"
& sK46_sos_14_X45("5","1") = "5"
& sK46_sos_14_X45("5","2") = "5"
& sK46_sos_14_X45("5","3") = "4"
& sK46_sos_14_X45("5","4") = "5"
& sK46_sos_14_X45("5","5") = "5" ) ).
fof(sK51_sos_15_X48,fi_functors,
( sK51_sos_15_X48("1","1") = "1"
& sK51_sos_15_X48("1","2") = "1"
& sK51_sos_15_X48("1","3") = "1"
& sK51_sos_15_X48("1","4") = "5"
& sK51_sos_15_X48("1","5") = "3"
& sK51_sos_15_X48("2","1") = "1"
& sK51_sos_15_X48("2","2") = "4"
& sK51_sos_15_X48("2","3") = "4"
& sK51_sos_15_X48("2","4") = "4"
& sK51_sos_15_X48("2","5") = "4"
& sK51_sos_15_X48("3","1") = "5"
& sK51_sos_15_X48("3","2") = "5"
& sK51_sos_15_X48("3","3") = "2"
& sK51_sos_15_X48("3","4") = "5"
& sK51_sos_15_X48("3","5") = "5"
& sK51_sos_15_X48("4","1") = "5"
& sK51_sos_15_X48("4","2") = "2"
& sK51_sos_15_X48("4","3") = "4"
& sK51_sos_15_X48("4","4") = "2"
& sK51_sos_15_X48("4","5") = "3"
& sK51_sos_15_X48("5","1") = "2"
& sK51_sos_15_X48("5","2") = "4"
& sK51_sos_15_X48("5","3") = "1"
& sK51_sos_15_X48("5","4") = "5"
& sK51_sos_15_X48("5","5") = "5" ) ).
fof(sK58_sos_18_X53,fi_functors,
( sK58_sos_18_X53("1") = "1"
& sK58_sos_18_X53("2") = "4"
& sK58_sos_18_X53("3") = "5"
& sK58_sos_18_X53("4") = "2"
& sK58_sos_18_X53("5") = "1" ) ).
fof(sK73_sos_23_X69,fi_functors,
( sK73_sos_23_X69("1","1") = "1"
& sK73_sos_23_X69("1","2") = "3"
& sK73_sos_23_X69("1","3") = "5"
& sK73_sos_23_X69("1","4") = "5"
& sK73_sos_23_X69("1","5") = "5"
& sK73_sos_23_X69("2","1") = "1"
& sK73_sos_23_X69("2","2") = "1"
& sK73_sos_23_X69("2","3") = "5"
& sK73_sos_23_X69("2","4") = "3"
& sK73_sos_23_X69("2","5") = "5"
& sK73_sos_23_X69("3","1") = "1"
& sK73_sos_23_X69("3","2") = "2"
& sK73_sos_23_X69("3","3") = "3"
& sK73_sos_23_X69("3","4") = "3"
& sK73_sos_23_X69("3","5") = "5"
& sK73_sos_23_X69("4","1") = "5"
& sK73_sos_23_X69("4","2") = "5"
& sK73_sos_23_X69("4","3") = "3"
& sK73_sos_23_X69("4","4") = "5"
& sK73_sos_23_X69("4","5") = "5"
& sK73_sos_23_X69("5","1") = "5"
& sK73_sos_23_X69("5","2") = "5"
& sK73_sos_23_X69("5","3") = "5"
& sK73_sos_23_X69("5","4") = "5"
& sK73_sos_23_X69("5","5") = "4" ) ).
fof(sK76_sos_24_X73,fi_functors,
( sK76_sos_24_X73("1","1","1") = "1"
& sK76_sos_24_X73("1","1","2") = "2"
& sK76_sos_24_X73("1","1","3") = "5"
& sK76_sos_24_X73("1","1","4") = "3"
& sK76_sos_24_X73("1","1","5") = "4"
& sK76_sos_24_X73("1","2","1") = "5"
& sK76_sos_24_X73("1","2","2") = "2"
& sK76_sos_24_X73("1","2","3") = "1"
& sK76_sos_24_X73("1","2","4") = "5"
& sK76_sos_24_X73("1","2","5") = "1"
& sK76_sos_24_X73("1","3","1") = "1"
& sK76_sos_24_X73("1","3","2") = "1"
& sK76_sos_24_X73("1","3","3") = "2"
& sK76_sos_24_X73("1","3","4") = "5"
& sK76_sos_24_X73("1","3","5") = "1"
& sK76_sos_24_X73("1","4","1") = "3"
& sK76_sos_24_X73("1","4","2") = "3"
& sK76_sos_24_X73("1","4","3") = "3"
& sK76_sos_24_X73("1","4","4") = "3"
& sK76_sos_24_X73("1","4","5") = "1"
& sK76_sos_24_X73("1","5","1") = "4"
& sK76_sos_24_X73("1","5","2") = "1"
& sK76_sos_24_X73("1","5","3") = "1"
& sK76_sos_24_X73("1","5","4") = "5"
& sK76_sos_24_X73("1","5","5") = "4"
& sK76_sos_24_X73("2","1","1") = "1"
& sK76_sos_24_X73("2","1","2") = "1"
& sK76_sos_24_X73("2","1","3") = "5"
& sK76_sos_24_X73("2","1","4") = "3"
& sK76_sos_24_X73("2","1","5") = "4"
& sK76_sos_24_X73("2","2","1") = "1"
& sK76_sos_24_X73("2","2","2") = "1"
& sK76_sos_24_X73("2","2","3") = "2"
& sK76_sos_24_X73("2","2","4") = "3"
& sK76_sos_24_X73("2","2","5") = "4"
& sK76_sos_24_X73("2","3","1") = "1"
& sK76_sos_24_X73("2","3","2") = "1"
& sK76_sos_24_X73("2","3","3") = "1"
& sK76_sos_24_X73("2","3","4") = "3"
& sK76_sos_24_X73("2","3","5") = "4"
& sK76_sos_24_X73("2","4","1") = "2"
& sK76_sos_24_X73("2","4","2") = "3"
& sK76_sos_24_X73("2","4","3") = "2"
& sK76_sos_24_X73("2","4","4") = "3"
& sK76_sos_24_X73("2","4","5") = "4"
& sK76_sos_24_X73("2","5","1") = "4"
& sK76_sos_24_X73("2","5","2") = "4"
& sK76_sos_24_X73("2","5","3") = "4"
& sK76_sos_24_X73("2","5","4") = "4"
& sK76_sos_24_X73("2","5","5") = "4"
& sK76_sos_24_X73("3","1","1") = "1"
& sK76_sos_24_X73("3","1","2") = "2"
& sK76_sos_24_X73("3","1","3") = "2"
& sK76_sos_24_X73("3","1","4") = "3"
& sK76_sos_24_X73("3","1","5") = "4"
& sK76_sos_24_X73("3","2","1") = "2"
& sK76_sos_24_X73("3","2","2") = "2"
& sK76_sos_24_X73("3","2","3") = "2"
& sK76_sos_24_X73("3","2","4") = "3"
& sK76_sos_24_X73("3","2","5") = "4"
& sK76_sos_24_X73("3","3","1") = "1"
& sK76_sos_24_X73("3","3","2") = "2"
& sK76_sos_24_X73("3","3","3") = "1"
& sK76_sos_24_X73("3","3","4") = "2"
& sK76_sos_24_X73("3","3","5") = "4"
& sK76_sos_24_X73("3","4","1") = "3"
& sK76_sos_24_X73("3","4","2") = "3"
& sK76_sos_24_X73("3","4","3") = "1"
& sK76_sos_24_X73("3","4","4") = "3"
& sK76_sos_24_X73("3","4","5") = "4"
& sK76_sos_24_X73("3","5","1") = "4"
& sK76_sos_24_X73("3","5","2") = "4"
& sK76_sos_24_X73("3","5","3") = "4"
& sK76_sos_24_X73("3","5","4") = "4"
& sK76_sos_24_X73("3","5","5") = "4"
& sK76_sos_24_X73("4","1","1") = "5"
& sK76_sos_24_X73("4","1","2") = "5"
& sK76_sos_24_X73("4","1","3") = "3"
& sK76_sos_24_X73("4","1","4") = "3"
& sK76_sos_24_X73("4","1","5") = "5"
& sK76_sos_24_X73("4","2","1") = "3"
& sK76_sos_24_X73("4","2","2") = "3"
& sK76_sos_24_X73("4","2","3") = "3"
& sK76_sos_24_X73("4","2","4") = "3"
& sK76_sos_24_X73("4","2","5") = "4"
& sK76_sos_24_X73("4","3","1") = "3"
& sK76_sos_24_X73("4","3","2") = "3"
& sK76_sos_24_X73("4","3","3") = "3"
& sK76_sos_24_X73("4","3","4") = "2"
& sK76_sos_24_X73("4","3","5") = "4"
& sK76_sos_24_X73("4","4","1") = "3"
& sK76_sos_24_X73("4","4","2") = "3"
& sK76_sos_24_X73("4","4","3") = "2"
& sK76_sos_24_X73("4","4","4") = "2"
& sK76_sos_24_X73("4","4","5") = "4"
& sK76_sos_24_X73("4","5","1") = "4"
& sK76_sos_24_X73("4","5","2") = "4"
& sK76_sos_24_X73("4","5","3") = "4"
& sK76_sos_24_X73("4","5","4") = "4"
& sK76_sos_24_X73("4","5","5") = "4"
& sK76_sos_24_X73("5","1","1") = "5"
& sK76_sos_24_X73("5","1","2") = "5"
& sK76_sos_24_X73("5","1","3") = "4"
& sK76_sos_24_X73("5","1","4") = "4"
& sK76_sos_24_X73("5","1","5") = "5"
& sK76_sos_24_X73("5","2","1") = "4"
& sK76_sos_24_X73("5","2","2") = "4"
& sK76_sos_24_X73("5","2","3") = "4"
& sK76_sos_24_X73("5","2","4") = "4"
& sK76_sos_24_X73("5","2","5") = "4"
& sK76_sos_24_X73("5","3","1") = "4"
& sK76_sos_24_X73("5","3","2") = "4"
& sK76_sos_24_X73("5","3","3") = "4"
& sK76_sos_24_X73("5","3","4") = "4"
& sK76_sos_24_X73("5","3","5") = "4"
& sK76_sos_24_X73("5","4","1") = "4"
& sK76_sos_24_X73("5","4","2") = "4"
& sK76_sos_24_X73("5","4","3") = "4"
& sK76_sos_24_X73("5","4","4") = "4"
& sK76_sos_24_X73("5","4","5") = "4"
& sK76_sos_24_X73("5","5","1") = "4"
& sK76_sos_24_X73("5","5","2") = "4"
& sK76_sos_24_X73("5","5","3") = "4"
& sK76_sos_24_X73("5","5","4") = "4"
& sK76_sos_24_X73("5","5","5") = "4" ) ).
fof(sK80_sos_25_X76,fi_functors,
( sK80_sos_25_X76("1","1") = "1"
& sK80_sos_25_X76("1","2") = "2"
& sK80_sos_25_X76("1","3") = "5"
& sK80_sos_25_X76("1","4") = "5"
& sK80_sos_25_X76("1","5") = "5"
& sK80_sos_25_X76("2","1") = "1"
& sK80_sos_25_X76("2","2") = "1"
& sK80_sos_25_X76("2","3") = "2"
& sK80_sos_25_X76("2","4") = "5"
& sK80_sos_25_X76("2","5") = "5"
& sK80_sos_25_X76("3","1") = "1"
& sK80_sos_25_X76("3","2") = "5"
& sK80_sos_25_X76("3","3") = "2"
& sK80_sos_25_X76("3","4") = "3"
& sK80_sos_25_X76("3","5") = "5"
& sK80_sos_25_X76("4","1") = "5"
& sK80_sos_25_X76("4","2") = "5"
& sK80_sos_25_X76("4","3") = "5"
& sK80_sos_25_X76("4","4") = "5"
& sK80_sos_25_X76("4","5") = "5"
& sK80_sos_25_X76("5","1") = "5"
& sK80_sos_25_X76("5","2") = "4"
& sK80_sos_25_X76("5","3") = "5"
& sK80_sos_25_X76("5","4") = "5"
& sK80_sos_25_X76("5","5") = "5" ) ).
fof(sK83_sos_26_X80,fi_functors,
( sK83_sos_26_X80("1","1") = "5"
& sK83_sos_26_X80("1","2") = "2"
& sK83_sos_26_X80("1","3") = "2"
& sK83_sos_26_X80("1","4") = "4"
& sK83_sos_26_X80("1","5") = "1"
& sK83_sos_26_X80("2","1") = "2"
& sK83_sos_26_X80("2","2") = "1"
& sK83_sos_26_X80("2","3") = "2"
& sK83_sos_26_X80("2","4") = "4"
& sK83_sos_26_X80("2","5") = "4"
& sK83_sos_26_X80("3","1") = "4"
& sK83_sos_26_X80("3","2") = "3"
& sK83_sos_26_X80("3","3") = "2"
& sK83_sos_26_X80("3","4") = "2"
& sK83_sos_26_X80("3","5") = "4"
& sK83_sos_26_X80("4","1") = "3"
& sK83_sos_26_X80("4","2") = "3"
& sK83_sos_26_X80("4","3") = "2"
& sK83_sos_26_X80("4","4") = "3"
& sK83_sos_26_X80("4","5") = "4"
& sK83_sos_26_X80("5","1") = "1"
& sK83_sos_26_X80("5","2") = "4"
& sK83_sos_26_X80("5","3") = "1"
& sK83_sos_26_X80("5","4") = "5"
& sK83_sos_26_X80("5","5") = "1" ) ).
fof(sK84_sos_26_X81,fi_functors,
( sK84_sos_26_X81("1","1") = "4"
& sK84_sos_26_X81("1","2") = "3"
& sK84_sos_26_X81("1","3") = "2"
& sK84_sos_26_X81("1","4") = "4"
& sK84_sos_26_X81("1","5") = "5"
& sK84_sos_26_X81("2","1") = "2"
& sK84_sos_26_X81("2","2") = "1"
& sK84_sos_26_X81("2","3") = "1"
& sK84_sos_26_X81("2","4") = "2"
& sK84_sos_26_X81("2","5") = "2"
& sK84_sos_26_X81("3","1") = "1"
& sK84_sos_26_X81("3","2") = "1"
& sK84_sos_26_X81("3","3") = "1"
& sK84_sos_26_X81("3","4") = "3"
& sK84_sos_26_X81("3","5") = "1"
& sK84_sos_26_X81("4","1") = "3"
& sK84_sos_26_X81("4","2") = "3"
& sK84_sos_26_X81("4","3") = "5"
& sK84_sos_26_X81("4","4") = "3"
& sK84_sos_26_X81("4","5") = "5"
& sK84_sos_26_X81("5","1") = "3"
& sK84_sos_26_X81("5","2") = "4"
& sK84_sos_26_X81("5","3") = "3"
& sK84_sos_26_X81("5","4") = "5"
& sK84_sos_26_X81("5","5") = "3" ) ).
fof(sK88_sos_27_X84,fi_functors,
( sK88_sos_27_X84("1","1") = "2"
& sK88_sos_27_X84("1","2") = "2"
& sK88_sos_27_X84("1","3") = "5"
& sK88_sos_27_X84("1","4") = "3"
& sK88_sos_27_X84("1","5") = "4"
& sK88_sos_27_X84("2","1") = "2"
& sK88_sos_27_X84("2","2") = "2"
& sK88_sos_27_X84("2","3") = "2"
& sK88_sos_27_X84("2","4") = "4"
& sK88_sos_27_X84("2","5") = "4"
& sK88_sos_27_X84("3","1") = "1"
& sK88_sos_27_X84("3","2") = "3"
& sK88_sos_27_X84("3","3") = "1"
& sK88_sos_27_X84("3","4") = "5"
& sK88_sos_27_X84("3","5") = "5"
& sK88_sos_27_X84("4","1") = "4"
& sK88_sos_27_X84("4","2") = "3"
& sK88_sos_27_X84("4","3") = "2"
& sK88_sos_27_X84("4","4") = "2"
& sK88_sos_27_X84("4","5") = "4"
& sK88_sos_27_X84("5","1") = "4"
& sK88_sos_27_X84("5","2") = "2"
& sK88_sos_27_X84("5","3") = "2"
& sK88_sos_27_X84("5","4") = "2"
& sK88_sos_27_X84("5","5") = "5" ) ).
fof(sK97_sos_30_X93,fi_functors,
( sK97_sos_30_X93("1","1") = "2"
& sK97_sos_30_X93("1","2") = "1"
& sK97_sos_30_X93("1","3") = "5"
& sK97_sos_30_X93("1","4") = "5"
& sK97_sos_30_X93("1","5") = "2"
& sK97_sos_30_X93("2","1") = "3"
& sK97_sos_30_X93("2","2") = "1"
& sK97_sos_30_X93("2","3") = "5"
& sK97_sos_30_X93("2","4") = "3"
& sK97_sos_30_X93("2","5") = "5"
& sK97_sos_30_X93("3","1") = "2"
& sK97_sos_30_X93("3","2") = "5"
& sK97_sos_30_X93("3","3") = "2"
& sK97_sos_30_X93("3","4") = "5"
& sK97_sos_30_X93("3","5") = "5"
& sK97_sos_30_X93("4","1") = "3"
& sK97_sos_30_X93("4","2") = "5"
& sK97_sos_30_X93("4","3") = "3"
& sK97_sos_30_X93("4","4") = "3"
& sK97_sos_30_X93("4","5") = "4"
& sK97_sos_30_X93("5","1") = "5"
& sK97_sos_30_X93("5","2") = "5"
& sK97_sos_30_X93("5","3") = "4"
& sK97_sos_30_X93("5","4") = "4"
& sK97_sos_30_X93("5","5") = "5" ) ).
fof(subactivity,fi_predicates,
( ( subactivity("1","1")
<=> $true )
& ( subactivity("1","2")
<=> $false )
& ( subactivity("1","3")
<=> $true )
& ( subactivity("1","4")
<=> $false )
& ( subactivity("1","5")
<=> $false )
& ( subactivity("2","1")
<=> $true )
& ( subactivity("2","2")
<=> $true )
& ( subactivity("2","3")
<=> $true )
& ( subactivity("2","4")
<=> $true )
& ( subactivity("2","5")
<=> $true )
& ( subactivity("3","1")
<=> $false )
& ( subactivity("3","2")
<=> $false )
& ( subactivity("3","3")
<=> $true )
& ( subactivity("3","4")
<=> $true )
& ( subactivity("3","5")
<=> $false )
& ( subactivity("4","1")
<=> $true )
& ( subactivity("4","2")
<=> $true )
& ( subactivity("4","3")
<=> $true )
& ( subactivity("4","4")
<=> $true )
& ( subactivity("4","5")
<=> $false )
& ( subactivity("5","1")
<=> $false )
& ( subactivity("5","2")
<=> $false )
& ( subactivity("5","3")
<=> $false )
& ( subactivity("5","4")
<=> $true )
& ( subactivity("5","5")
<=> $true ) ) ).
fof(subactivity_occurrence,fi_predicates,
( ( subactivity_occurrence("1","1")
<=> $false )
& ( subactivity_occurrence("1","2")
<=> $false )
& ( subactivity_occurrence("1","3")
<=> $false )
& ( subactivity_occurrence("1","4")
<=> $false )
& ( subactivity_occurrence("1","5")
<=> $false )
& ( subactivity_occurrence("2","1")
<=> $true )
& ( subactivity_occurrence("2","2")
<=> $false )
& ( subactivity_occurrence("2","3")
<=> $false )
& ( subactivity_occurrence("2","4")
<=> $false )
& ( subactivity_occurrence("2","5")
<=> $true )
& ( subactivity_occurrence("3","1")
<=> $true )
& ( subactivity_occurrence("3","2")
<=> $false )
& ( subactivity_occurrence("3","3")
<=> $false )
& ( subactivity_occurrence("3","4")
<=> $false )
& ( subactivity_occurrence("3","5")
<=> $true )
& ( subactivity_occurrence("4","1")
<=> $false )
& ( subactivity_occurrence("4","2")
<=> $false )
& ( subactivity_occurrence("4","3")
<=> $false )
& ( subactivity_occurrence("4","4")
<=> $false )
& ( subactivity_occurrence("4","5")
<=> $true )
& ( subactivity_occurrence("5","1")
<=> $true )
& ( subactivity_occurrence("5","2")
<=> $false )
& ( subactivity_occurrence("5","3")
<=> $false )
& ( subactivity_occurrence("5","4")
<=> $false )
& ( subactivity_occurrence("5","5")
<=> $true ) ) ).
fof(tptp0,fi_functors,
tptp0 = "1" ).
fof(tptp1,fi_functors,
tptp1 = "2" ).
fof(tptp2,fi_functors,
tptp2 = "3" ).
fof(tptp3,fi_functors,
tptp3 = "4" ).
fof(tptp4,fi_functors,
tptp4 = "5" ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO013+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 01:31:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Paradox, version 4.0, 2010-06-29.
% 0.12/0.34 +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.12/0.36 +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 +++ BEGIN MODEL
% 0.19/0.44 SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.45 +++ END MODEL
% 0.19/0.45 +++ RESULT: CounterSatisfiable
% 0.19/0.45 SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------