TSTP Solution File: HAL003+1 by Paradox---4.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : HAL003+1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n022.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 12:45:49 EDT 2022
% Result : CounterSatisfiable 0.20s 0.58s
% 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(alpha,fi_functors,
alpha = "1" ).
fof(apply,fi_functors,
( apply("1","1") = "1"
& apply("1","2") = "3"
& apply("1","3") = "2"
& apply("2","1") = "1"
& apply("2","2") = "3"
& apply("2","3") = "3"
& apply("3","1") = "2"
& apply("3","2") = "2"
& apply("3","3") = "2" ) ).
fof(b,fi_functors,
b = "2" ).
fof(beta,fi_functors,
beta = "1" ).
fof(c,fi_functors,
c = "1" ).
fof(commute,fi_predicates,
( ( commute("1","1","1","1")
<=> $true )
& ( commute("1","1","1","2")
<=> $false )
& ( commute("1","1","1","3")
<=> $false )
& ( commute("1","1","2","1")
<=> $true )
& ( commute("1","1","2","2")
<=> $false )
& ( commute("1","1","2","3")
<=> $true )
& ( commute("1","1","3","1")
<=> $false )
& ( commute("1","1","3","2")
<=> $true )
& ( commute("1","1","3","3")
<=> $false )
& ( commute("1","2","1","1")
<=> $true )
& ( commute("1","2","1","2")
<=> $true )
& ( commute("1","2","1","3")
<=> $false )
& ( commute("1","2","2","1")
<=> $true )
& ( commute("1","2","2","2")
<=> $true )
& ( commute("1","2","2","3")
<=> $true )
& ( commute("1","2","3","1")
<=> $true )
& ( commute("1","2","3","2")
<=> $true )
& ( commute("1","2","3","3")
<=> $true )
& ( commute("1","3","1","1")
<=> $false )
& ( commute("1","3","1","2")
<=> $false )
& ( commute("1","3","1","3")
<=> $true )
& ( commute("1","3","2","1")
<=> $false )
& ( commute("1","3","2","2")
<=> $false )
& ( commute("1","3","2","3")
<=> $true )
& ( commute("1","3","3","1")
<=> $false )
& ( commute("1","3","3","2")
<=> $true )
& ( commute("1","3","3","3")
<=> $true )
& ( commute("2","1","1","1")
<=> $true )
& ( commute("2","1","1","2")
<=> $false )
& ( commute("2","1","1","3")
<=> $false )
& ( commute("2","1","2","1")
<=> $false )
& ( commute("2","1","2","2")
<=> $false )
& ( commute("2","1","2","3")
<=> $false )
& ( commute("2","1","3","1")
<=> $false )
& ( commute("2","1","3","2")
<=> $true )
& ( commute("2","1","3","3")
<=> $false )
& ( commute("2","2","1","1")
<=> $true )
& ( commute("2","2","1","2")
<=> $true )
& ( commute("2","2","1","3")
<=> $false )
& ( commute("2","2","2","1")
<=> $true )
& ( commute("2","2","2","2")
<=> $true )
& ( commute("2","2","2","3")
<=> $true )
& ( commute("2","2","3","1")
<=> $true )
& ( commute("2","2","3","2")
<=> $true )
& ( commute("2","2","3","3")
<=> $true )
& ( commute("2","3","1","1")
<=> $true )
& ( commute("2","3","1","2")
<=> $false )
& ( commute("2","3","1","3")
<=> $true )
& ( commute("2","3","2","1")
<=> $false )
& ( commute("2","3","2","2")
<=> $false )
& ( commute("2","3","2","3")
<=> $true )
& ( commute("2","3","3","1")
<=> $false )
& ( commute("2","3","3","2")
<=> $true )
& ( commute("2","3","3","3")
<=> $true )
& ( commute("3","1","1","1")
<=> $true )
& ( commute("3","1","1","2")
<=> $true )
& ( commute("3","1","1","3")
<=> $false )
& ( commute("3","1","2","1")
<=> $true )
& ( commute("3","1","2","2")
<=> $true )
& ( commute("3","1","2","3")
<=> $false )
& ( commute("3","1","3","1")
<=> $true )
& ( commute("3","1","3","2")
<=> $true )
& ( commute("3","1","3","3")
<=> $false )
& ( commute("3","2","1","1")
<=> $true )
& ( commute("3","2","1","2")
<=> $true )
& ( commute("3","2","1","3")
<=> $false )
& ( commute("3","2","2","1")
<=> $true )
& ( commute("3","2","2","2")
<=> $true )
& ( commute("3","2","2","3")
<=> $true )
& ( commute("3","2","3","1")
<=> $true )
& ( commute("3","2","3","2")
<=> $true )
& ( commute("3","2","3","3")
<=> $true )
& ( commute("3","3","1","1")
<=> $false )
& ( commute("3","3","1","2")
<=> $false )
& ( commute("3","3","1","3")
<=> $true )
& ( commute("3","3","2","1")
<=> $false )
& ( commute("3","3","2","2")
<=> $false )
& ( commute("3","3","2","3")
<=> $true )
& ( commute("3","3","3","1")
<=> $false )
& ( commute("3","3","3","2")
<=> $true )
& ( commute("3","3","3","3")
<=> $true ) ) ).
fof(d,fi_functors,
d = "2" ).
fof(delta,fi_functors,
delta = "3" ).
fof(e,fi_functors,
e = "3" ).
fof(element,fi_predicates,
( ( element("1","1")
<=> $false )
& ( element("1","2")
<=> $false )
& ( element("1","3")
<=> $true )
& ( element("2","1")
<=> $false )
& ( element("2","2")
<=> $true )
& ( element("2","3")
<=> $true )
& ( element("3","1")
<=> $true )
& ( element("3","2")
<=> $false )
& ( element("3","3")
<=> $true ) ) ).
fof(exact,fi_predicates,
( ( exact("1","1")
<=> $true )
& ( exact("1","2")
<=> $true )
& ( exact("1","3")
<=> $true )
& ( exact("2","1")
<=> $false )
& ( exact("2","2")
<=> $false )
& ( exact("2","3")
<=> $false )
& ( exact("3","1")
<=> $true )
& ( exact("3","2")
<=> $true )
& ( exact("3","3")
<=> $false ) ) ).
fof(f,fi_functors,
f = "1" ).
fof(g,fi_functors,
g = "2" ).
fof(gamma,fi_functors,
gamma = "2" ).
fof(gammma,fi_functors,
gammma = "1" ).
fof(h,fi_functors,
h = "1" ).
fof(injection,fi_predicates,
( ( injection("1")
<=> $true )
& ( injection("2")
<=> $true )
& ( injection("3")
<=> $false ) ) ).
fof(morphism,fi_predicates,
( ( morphism("1","1","1")
<=> $false )
& ( morphism("1","1","2")
<=> $true )
& ( morphism("1","1","3")
<=> $false )
& ( morphism("1","2","1")
<=> $true )
& ( morphism("1","2","2")
<=> $false )
& ( morphism("1","2","3")
<=> $false )
& ( morphism("1","3","1")
<=> $false )
& ( morphism("1","3","2")
<=> $false )
& ( morphism("1","3","3")
<=> $false )
& ( morphism("2","1","1")
<=> $false )
& ( morphism("2","1","2")
<=> $false )
& ( morphism("2","1","3")
<=> $true )
& ( morphism("2","2","1")
<=> $false )
& ( morphism("2","2","2")
<=> $false )
& ( morphism("2","2","3")
<=> $true )
& ( morphism("2","3","1")
<=> $false )
& ( morphism("2","3","2")
<=> $false )
& ( morphism("2","3","3")
<=> $false )
& ( morphism("3","1","1")
<=> $false )
& ( morphism("3","1","2")
<=> $false )
& ( morphism("3","1","3")
<=> $false )
& ( morphism("3","2","1")
<=> $false )
& ( morphism("3","2","2")
<=> $false )
& ( morphism("3","2","3")
<=> $false )
& ( morphism("3","3","1")
<=> $false )
& ( morphism("3","3","2")
<=> $true )
& ( morphism("3","3","3")
<=> $false ) ) ).
fof(r,fi_functors,
r = "2" ).
fof(sK10_properties_for_injection_El1,fi_functors,
( sK10_properties_for_injection_El1("1","1") = "3"
& sK10_properties_for_injection_El1("1","2") = "1"
& sK10_properties_for_injection_El1("1","3") = "3"
& sK10_properties_for_injection_El1("2","1") = "3"
& sK10_properties_for_injection_El1("2","2") = "1"
& sK10_properties_for_injection_El1("2","3") = "1"
& sK10_properties_for_injection_El1("3","1") = "3"
& sK10_properties_for_injection_El1("3","2") = "2"
& sK10_properties_for_injection_El1("3","3") = "2" ) ).
fof(sK14_surjection_properties_ElDom,fi_functors,
( sK14_surjection_properties_ElDom("1","1","1") = "3"
& sK14_surjection_properties_ElDom("1","1","2") = "3"
& sK14_surjection_properties_ElDom("1","1","3") = "3"
& sK14_surjection_properties_ElDom("1","2","1") = "2"
& sK14_surjection_properties_ElDom("1","2","2") = "3"
& sK14_surjection_properties_ElDom("1","2","3") = "2"
& sK14_surjection_properties_ElDom("1","3","1") = "1"
& sK14_surjection_properties_ElDom("1","3","2") = "3"
& sK14_surjection_properties_ElDom("1","3","3") = "1"
& sK14_surjection_properties_ElDom("2","1","1") = "1"
& sK14_surjection_properties_ElDom("2","1","2") = "1"
& sK14_surjection_properties_ElDom("2","1","3") = "1"
& sK14_surjection_properties_ElDom("2","2","1") = "1"
& sK14_surjection_properties_ElDom("2","2","2") = "1"
& sK14_surjection_properties_ElDom("2","2","3") = "1"
& sK14_surjection_properties_ElDom("2","3","1") = "1"
& sK14_surjection_properties_ElDom("2","3","2") = "1"
& sK14_surjection_properties_ElDom("2","3","3") = "1"
& sK14_surjection_properties_ElDom("3","1","1") = "2"
& sK14_surjection_properties_ElDom("3","1","2") = "3"
& sK14_surjection_properties_ElDom("3","1","3") = "3"
& sK14_surjection_properties_ElDom("3","2","1") = "2"
& sK14_surjection_properties_ElDom("3","2","2") = "2"
& sK14_surjection_properties_ElDom("3","2","3") = "2"
& sK14_surjection_properties_ElDom("3","3","1") = "2"
& sK14_surjection_properties_ElDom("3","3","2") = "2"
& sK14_surjection_properties_ElDom("3","3","3") = "2" ) ).
fof(sK19_properties_for_surjection_ElCod,fi_functors,
( sK19_properties_for_surjection_ElCod("1","1","1") = "1"
& sK19_properties_for_surjection_ElCod("1","1","2") = "1"
& sK19_properties_for_surjection_ElCod("1","1","3") = "3"
& sK19_properties_for_surjection_ElCod("1","2","1") = "1"
& sK19_properties_for_surjection_ElCod("1","2","2") = "1"
& sK19_properties_for_surjection_ElCod("1","2","3") = "3"
& sK19_properties_for_surjection_ElCod("1","3","1") = "3"
& sK19_properties_for_surjection_ElCod("1","3","2") = "2"
& sK19_properties_for_surjection_ElCod("1","3","3") = "3"
& sK19_properties_for_surjection_ElCod("2","1","1") = "2"
& sK19_properties_for_surjection_ElCod("2","1","2") = "3"
& sK19_properties_for_surjection_ElCod("2","1","3") = "3"
& sK19_properties_for_surjection_ElCod("2","2","1") = "2"
& sK19_properties_for_surjection_ElCod("2","2","2") = "2"
& sK19_properties_for_surjection_ElCod("2","2","3") = "3"
& sK19_properties_for_surjection_ElCod("2","3","1") = "2"
& sK19_properties_for_surjection_ElCod("2","3","2") = "1"
& sK19_properties_for_surjection_ElCod("2","3","3") = "2"
& sK19_properties_for_surjection_ElCod("3","1","1") = "2"
& sK19_properties_for_surjection_ElCod("3","1","2") = "2"
& sK19_properties_for_surjection_ElCod("3","1","3") = "3"
& sK19_properties_for_surjection_ElCod("3","2","1") = "2"
& sK19_properties_for_surjection_ElCod("3","2","2") = "2"
& sK19_properties_for_surjection_ElCod("3","2","3") = "3"
& sK19_properties_for_surjection_ElCod("3","3","1") = "3"
& sK19_properties_for_surjection_ElCod("3","3","2") = "3"
& sK19_properties_for_surjection_ElCod("3","3","3") = "3" ) ).
fof(sK24_exact_properties_ElDom,fi_functors,
( sK24_exact_properties_ElDom("1","1","1") = "1"
& sK24_exact_properties_ElDom("1","1","2") = "3"
& sK24_exact_properties_ElDom("1","1","3") = "2"
& sK24_exact_properties_ElDom("1","2","1") = "1"
& sK24_exact_properties_ElDom("1","2","2") = "1"
& sK24_exact_properties_ElDom("1","2","3") = "2"
& sK24_exact_properties_ElDom("1","3","1") = "1"
& sK24_exact_properties_ElDom("1","3","2") = "1"
& sK24_exact_properties_ElDom("1","3","3") = "2"
& sK24_exact_properties_ElDom("2","1","1") = "3"
& sK24_exact_properties_ElDom("2","1","2") = "3"
& sK24_exact_properties_ElDom("2","1","3") = "2"
& sK24_exact_properties_ElDom("2","2","1") = "1"
& sK24_exact_properties_ElDom("2","2","2") = "1"
& sK24_exact_properties_ElDom("2","2","3") = "2"
& sK24_exact_properties_ElDom("2","3","1") = "1"
& sK24_exact_properties_ElDom("2","3","2") = "1"
& sK24_exact_properties_ElDom("2","3","3") = "2"
& sK24_exact_properties_ElDom("3","1","1") = "1"
& sK24_exact_properties_ElDom("3","1","2") = "3"
& sK24_exact_properties_ElDom("3","1","3") = "3"
& sK24_exact_properties_ElDom("3","2","1") = "2"
& sK24_exact_properties_ElDom("3","2","2") = "2"
& sK24_exact_properties_ElDom("3","2","3") = "2"
& sK24_exact_properties_ElDom("3","3","1") = "1"
& sK24_exact_properties_ElDom("3","3","2") = "1"
& sK24_exact_properties_ElDom("3","3","3") = "2" ) ).
fof(sK32_properties_for_exact_ElDom,fi_functors,
( sK32_properties_for_exact_ElDom("1","1","1") = "2"
& sK32_properties_for_exact_ElDom("1","1","2") = "1"
& sK32_properties_for_exact_ElDom("1","1","3") = "2"
& sK32_properties_for_exact_ElDom("1","2","1") = "1"
& sK32_properties_for_exact_ElDom("1","2","2") = "1"
& sK32_properties_for_exact_ElDom("1","2","3") = "2"
& sK32_properties_for_exact_ElDom("1","3","1") = "1"
& sK32_properties_for_exact_ElDom("1","3","2") = "1"
& sK32_properties_for_exact_ElDom("1","3","3") = "2"
& sK32_properties_for_exact_ElDom("2","1","1") = "1"
& sK32_properties_for_exact_ElDom("2","1","2") = "1"
& sK32_properties_for_exact_ElDom("2","1","3") = "2"
& sK32_properties_for_exact_ElDom("2","2","1") = "2"
& sK32_properties_for_exact_ElDom("2","2","2") = "2"
& sK32_properties_for_exact_ElDom("2","2","3") = "2"
& sK32_properties_for_exact_ElDom("2","3","1") = "1"
& sK32_properties_for_exact_ElDom("2","3","2") = "1"
& sK32_properties_for_exact_ElDom("2","3","3") = "2"
& sK32_properties_for_exact_ElDom("3","1","1") = "1"
& sK32_properties_for_exact_ElDom("3","1","2") = "2"
& sK32_properties_for_exact_ElDom("3","1","3") = "2"
& sK32_properties_for_exact_ElDom("3","2","1") = "1"
& sK32_properties_for_exact_ElDom("3","2","2") = "1"
& sK32_properties_for_exact_ElDom("3","2","3") = "2"
& sK32_properties_for_exact_ElDom("3","3","1") = "2"
& sK32_properties_for_exact_ElDom("3","3","2") = "2"
& sK32_properties_for_exact_ElDom("3","3","3") = "2" ) ).
fof(sK33_properties_for_exact_ElCodDom,fi_functors,
( sK33_properties_for_exact_ElCodDom("1","1","1","1","1") = "2"
& sK33_properties_for_exact_ElCodDom("1","1","1","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","1","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","1","2","1") = "2"
& sK33_properties_for_exact_ElCodDom("1","1","1","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","1","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","1","3","1") = "2"
& sK33_properties_for_exact_ElCodDom("1","1","1","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","1","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","2","1","1") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","2","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","2","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","2","2","1") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","2","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","2","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","2","3","1") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","2","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","2","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","3","1","1") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","3","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","3","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","3","2","1") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","3","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","3","2","3") = "3"
& sK33_properties_for_exact_ElCodDom("1","1","3","3","1") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","3","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","1","3","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","1","1","1") = "2"
& sK33_properties_for_exact_ElCodDom("1","2","1","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","1","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","1","2","1") = "3"
& sK33_properties_for_exact_ElCodDom("1","2","1","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","1","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","1","3","1") = "2"
& sK33_properties_for_exact_ElCodDom("1","2","1","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","1","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","2","1","1") = "3"
& sK33_properties_for_exact_ElCodDom("1","2","2","1","2") = "3"
& sK33_properties_for_exact_ElCodDom("1","2","2","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","2","2","1") = "3"
& sK33_properties_for_exact_ElCodDom("1","2","2","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","2","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","2","3","1") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","2","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","2","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","3","1","1") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","3","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","3","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","3","2","1") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","3","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","3","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","3","3","1") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","3","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","2","3","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","1","1","1") = "2"
& sK33_properties_for_exact_ElCodDom("1","3","1","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","1","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","1","2","1") = "2"
& sK33_properties_for_exact_ElCodDom("1","3","1","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","1","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","1","3","1") = "2"
& sK33_properties_for_exact_ElCodDom("1","3","1","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","1","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","2","1","1") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","2","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","2","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","2","2","1") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","2","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","2","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","2","3","1") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","2","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","2","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","3","1","1") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","3","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","3","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","3","2","1") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","3","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","3","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","3","3","1") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","3","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("1","3","3","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","1","1","1") = "2"
& sK33_properties_for_exact_ElCodDom("2","1","1","1","2") = "2"
& sK33_properties_for_exact_ElCodDom("2","1","1","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","1","2","1") = "2"
& sK33_properties_for_exact_ElCodDom("2","1","1","2","2") = "2"
& sK33_properties_for_exact_ElCodDom("2","1","1","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","1","3","1") = "2"
& sK33_properties_for_exact_ElCodDom("2","1","1","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","1","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","2","1","1") = "3"
& sK33_properties_for_exact_ElCodDom("2","1","2","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","2","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","2","2","1") = "3"
& sK33_properties_for_exact_ElCodDom("2","1","2","2","2") = "3"
& sK33_properties_for_exact_ElCodDom("2","1","2","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","2","3","1") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","2","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","2","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","3","1","1") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","3","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","3","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","3","2","1") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","3","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","3","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","3","3","1") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","3","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","1","3","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","1","1","1") = "2"
& sK33_properties_for_exact_ElCodDom("2","2","1","1","2") = "2"
& sK33_properties_for_exact_ElCodDom("2","2","1","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","1","2","1") = "2"
& sK33_properties_for_exact_ElCodDom("2","2","1","2","2") = "2"
& sK33_properties_for_exact_ElCodDom("2","2","1","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","1","3","1") = "2"
& sK33_properties_for_exact_ElCodDom("2","2","1","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","1","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","2","1","1") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","2","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","2","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","2","2","1") = "3"
& sK33_properties_for_exact_ElCodDom("2","2","2","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","2","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","2","3","1") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","2","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","2","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","3","1","1") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","3","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","3","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","3","2","1") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","3","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","3","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","3","3","1") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","3","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","2","3","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","1","1","1") = "2"
& sK33_properties_for_exact_ElCodDom("2","3","1","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","1","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","1","2","1") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","1","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","1","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","1","3","1") = "2"
& sK33_properties_for_exact_ElCodDom("2","3","1","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","1","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","2","1","1") = "2"
& sK33_properties_for_exact_ElCodDom("2","3","2","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","2","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","2","2","1") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","2","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","2","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","2","3","1") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","2","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","2","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","3","1","1") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","3","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","3","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","3","2","1") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","3","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","3","2","3") = "3"
& sK33_properties_for_exact_ElCodDom("2","3","3","3","1") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","3","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("2","3","3","3","3") = "1"
& sK33_properties_for_exact_ElCodDom("3","1","1","1","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","1","1","2") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","1","1","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","1","2","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","1","2","2") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","1","2","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","1","3","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","1","3","2") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","1","3","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","2","1","1") = "1"
& sK33_properties_for_exact_ElCodDom("3","1","2","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("3","1","2","1","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","2","2","1") = "1"
& sK33_properties_for_exact_ElCodDom("3","1","2","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("3","1","2","2","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","2","3","1") = "1"
& sK33_properties_for_exact_ElCodDom("3","1","2","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("3","1","2","3","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","3","1","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","3","1","2") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","3","1","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","3","2","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","3","2","2") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","3","2","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","3","3","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","3","3","2") = "2"
& sK33_properties_for_exact_ElCodDom("3","1","3","3","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","1","1","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","1","1","2") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","1","1","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","1","2","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","1","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("3","2","1","2","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","1","3","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","1","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("3","2","1","3","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","2","1","1") = "1"
& sK33_properties_for_exact_ElCodDom("3","2","2","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("3","2","2","1","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","2","2","1") = "1"
& sK33_properties_for_exact_ElCodDom("3","2","2","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("3","2","2","2","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","2","3","1") = "1"
& sK33_properties_for_exact_ElCodDom("3","2","2","3","2") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","2","3","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","3","1","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","3","1","2") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","3","1","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","3","2","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","3","2","2") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","3","2","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","3","3","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","3","3","2") = "2"
& sK33_properties_for_exact_ElCodDom("3","2","3","3","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","3","1","1","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","3","1","1","2") = "2"
& sK33_properties_for_exact_ElCodDom("3","3","1","1","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","3","1","2","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","3","1","2","2") = "2"
& sK33_properties_for_exact_ElCodDom("3","3","1","2","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","3","1","3","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","3","1","3","2") = "2"
& sK33_properties_for_exact_ElCodDom("3","3","1","3","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","3","2","1","1") = "1"
& sK33_properties_for_exact_ElCodDom("3","3","2","1","2") = "1"
& sK33_properties_for_exact_ElCodDom("3","3","2","1","3") = "1"
& sK33_properties_for_exact_ElCodDom("3","3","2","2","1") = "1"
& sK33_properties_for_exact_ElCodDom("3","3","2","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("3","3","2","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("3","3","2","3","1") = "1"
& sK33_properties_for_exact_ElCodDom("3","3","2","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("3","3","2","3","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","3","3","1","1") = "1"
& sK33_properties_for_exact_ElCodDom("3","3","3","1","2") = "2"
& sK33_properties_for_exact_ElCodDom("3","3","3","1","3") = "2"
& sK33_properties_for_exact_ElCodDom("3","3","3","2","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","3","3","2","2") = "1"
& sK33_properties_for_exact_ElCodDom("3","3","3","2","3") = "1"
& sK33_properties_for_exact_ElCodDom("3","3","3","3","1") = "2"
& sK33_properties_for_exact_ElCodDom("3","3","3","3","2") = "1"
& sK33_properties_for_exact_ElCodDom("3","3","3","3","3") = "1" ) ).
fof(sK49_properties_for_commute_ElDom,fi_functors,
( sK49_properties_for_commute_ElDom("1","1","1","1","1") = "3"
& sK49_properties_for_commute_ElDom("1","1","1","1","2") = "2"
& sK49_properties_for_commute_ElDom("1","1","1","1","3") = "1"
& sK49_properties_for_commute_ElDom("1","1","1","2","1") = "1"
& sK49_properties_for_commute_ElDom("1","1","1","2","2") = "1"
& sK49_properties_for_commute_ElDom("1","1","1","2","3") = "1"
& sK49_properties_for_commute_ElDom("1","1","1","3","1") = "2"
& sK49_properties_for_commute_ElDom("1","1","1","3","2") = "1"
& sK49_properties_for_commute_ElDom("1","1","1","3","3") = "1"
& sK49_properties_for_commute_ElDom("1","1","2","1","1") = "2"
& sK49_properties_for_commute_ElDom("1","1","2","1","2") = "1"
& sK49_properties_for_commute_ElDom("1","1","2","1","3") = "1"
& sK49_properties_for_commute_ElDom("1","1","2","2","1") = "1"
& sK49_properties_for_commute_ElDom("1","1","2","2","2") = "1"
& sK49_properties_for_commute_ElDom("1","1","2","2","3") = "1"
& sK49_properties_for_commute_ElDom("1","1","2","3","1") = "1"
& sK49_properties_for_commute_ElDom("1","1","2","3","2") = "3"
& sK49_properties_for_commute_ElDom("1","1","2","3","3") = "1"
& sK49_properties_for_commute_ElDom("1","1","3","1","1") = "3"
& sK49_properties_for_commute_ElDom("1","1","3","1","2") = "1"
& sK49_properties_for_commute_ElDom("1","1","3","1","3") = "3"
& sK49_properties_for_commute_ElDom("1","1","3","2","1") = "3"
& sK49_properties_for_commute_ElDom("1","1","3","2","2") = "1"
& sK49_properties_for_commute_ElDom("1","1","3","2","3") = "3"
& sK49_properties_for_commute_ElDom("1","1","3","3","1") = "3"
& sK49_properties_for_commute_ElDom("1","1","3","3","2") = "3"
& sK49_properties_for_commute_ElDom("1","1","3","3","3") = "3"
& sK49_properties_for_commute_ElDom("1","2","1","1","1") = "1"
& sK49_properties_for_commute_ElDom("1","2","1","1","2") = "1"
& sK49_properties_for_commute_ElDom("1","2","1","1","3") = "1"
& sK49_properties_for_commute_ElDom("1","2","1","2","1") = "1"
& sK49_properties_for_commute_ElDom("1","2","1","2","2") = "1"
& sK49_properties_for_commute_ElDom("1","2","1","2","3") = "1"
& sK49_properties_for_commute_ElDom("1","2","1","3","1") = "2"
& sK49_properties_for_commute_ElDom("1","2","1","3","2") = "1"
& sK49_properties_for_commute_ElDom("1","2","1","3","3") = "1"
& sK49_properties_for_commute_ElDom("1","2","2","1","1") = "1"
& sK49_properties_for_commute_ElDom("1","2","2","1","2") = "1"
& sK49_properties_for_commute_ElDom("1","2","2","1","3") = "1"
& sK49_properties_for_commute_ElDom("1","2","2","2","1") = "1"
& sK49_properties_for_commute_ElDom("1","2","2","2","2") = "1"
& sK49_properties_for_commute_ElDom("1","2","2","2","3") = "1"
& sK49_properties_for_commute_ElDom("1","2","2","3","1") = "3"
& sK49_properties_for_commute_ElDom("1","2","2","3","2") = "1"
& sK49_properties_for_commute_ElDom("1","2","2","3","3") = "1"
& sK49_properties_for_commute_ElDom("1","2","3","1","1") = "3"
& sK49_properties_for_commute_ElDom("1","2","3","1","2") = "1"
& sK49_properties_for_commute_ElDom("1","2","3","1","3") = "3"
& sK49_properties_for_commute_ElDom("1","2","3","2","1") = "3"
& sK49_properties_for_commute_ElDom("1","2","3","2","2") = "1"
& sK49_properties_for_commute_ElDom("1","2","3","2","3") = "3"
& sK49_properties_for_commute_ElDom("1","2","3","3","1") = "3"
& sK49_properties_for_commute_ElDom("1","2","3","3","2") = "3"
& sK49_properties_for_commute_ElDom("1","2","3","3","3") = "3"
& sK49_properties_for_commute_ElDom("1","3","1","1","1") = "1"
& sK49_properties_for_commute_ElDom("1","3","1","1","2") = "1"
& sK49_properties_for_commute_ElDom("1","3","1","1","3") = "1"
& sK49_properties_for_commute_ElDom("1","3","1","2","1") = "1"
& sK49_properties_for_commute_ElDom("1","3","1","2","2") = "1"
& sK49_properties_for_commute_ElDom("1","3","1","2","3") = "1"
& sK49_properties_for_commute_ElDom("1","3","1","3","1") = "1"
& sK49_properties_for_commute_ElDom("1","3","1","3","2") = "2"
& sK49_properties_for_commute_ElDom("1","3","1","3","3") = "2"
& sK49_properties_for_commute_ElDom("1","3","2","1","1") = "1"
& sK49_properties_for_commute_ElDom("1","3","2","1","2") = "1"
& sK49_properties_for_commute_ElDom("1","3","2","1","3") = "1"
& sK49_properties_for_commute_ElDom("1","3","2","2","1") = "1"
& sK49_properties_for_commute_ElDom("1","3","2","2","2") = "1"
& sK49_properties_for_commute_ElDom("1","3","2","2","3") = "1"
& sK49_properties_for_commute_ElDom("1","3","2","3","1") = "3"
& sK49_properties_for_commute_ElDom("1","3","2","3","2") = "3"
& sK49_properties_for_commute_ElDom("1","3","2","3","3") = "3"
& sK49_properties_for_commute_ElDom("1","3","3","1","1") = "1"
& sK49_properties_for_commute_ElDom("1","3","3","1","2") = "1"
& sK49_properties_for_commute_ElDom("1","3","3","1","3") = "1"
& sK49_properties_for_commute_ElDom("1","3","3","2","1") = "3"
& sK49_properties_for_commute_ElDom("1","3","3","2","2") = "1"
& sK49_properties_for_commute_ElDom("1","3","3","2","3") = "3"
& sK49_properties_for_commute_ElDom("1","3","3","3","1") = "3"
& sK49_properties_for_commute_ElDom("1","3","3","3","2") = "3"
& sK49_properties_for_commute_ElDom("1","3","3","3","3") = "3"
& sK49_properties_for_commute_ElDom("2","1","1","1","1") = "2"
& sK49_properties_for_commute_ElDom("2","1","1","1","2") = "1"
& sK49_properties_for_commute_ElDom("2","1","1","1","3") = "3"
& sK49_properties_for_commute_ElDom("2","1","1","2","1") = "1"
& sK49_properties_for_commute_ElDom("2","1","1","2","2") = "1"
& sK49_properties_for_commute_ElDom("2","1","1","2","3") = "1"
& sK49_properties_for_commute_ElDom("2","1","1","3","1") = "2"
& sK49_properties_for_commute_ElDom("2","1","1","3","2") = "2"
& sK49_properties_for_commute_ElDom("2","1","1","3","3") = "2"
& sK49_properties_for_commute_ElDom("2","1","2","1","1") = "1"
& sK49_properties_for_commute_ElDom("2","1","2","1","2") = "2"
& sK49_properties_for_commute_ElDom("2","1","2","1","3") = "3"
& sK49_properties_for_commute_ElDom("2","1","2","2","1") = "1"
& sK49_properties_for_commute_ElDom("2","1","2","2","2") = "1"
& sK49_properties_for_commute_ElDom("2","1","2","2","3") = "1"
& sK49_properties_for_commute_ElDom("2","1","2","3","1") = "1"
& sK49_properties_for_commute_ElDom("2","1","2","3","2") = "3"
& sK49_properties_for_commute_ElDom("2","1","2","3","3") = "1"
& sK49_properties_for_commute_ElDom("2","1","3","1","1") = "1"
& sK49_properties_for_commute_ElDom("2","1","3","1","2") = "1"
& sK49_properties_for_commute_ElDom("2","1","3","1","3") = "1"
& sK49_properties_for_commute_ElDom("2","1","3","2","1") = "1"
& sK49_properties_for_commute_ElDom("2","1","3","2","2") = "1"
& sK49_properties_for_commute_ElDom("2","1","3","2","3") = "1"
& sK49_properties_for_commute_ElDom("2","1","3","3","1") = "1"
& sK49_properties_for_commute_ElDom("2","1","3","3","2") = "1"
& sK49_properties_for_commute_ElDom("2","1","3","3","3") = "1"
& sK49_properties_for_commute_ElDom("2","2","1","1","1") = "2"
& sK49_properties_for_commute_ElDom("2","2","1","1","2") = "3"
& sK49_properties_for_commute_ElDom("2","2","1","1","3") = "1"
& sK49_properties_for_commute_ElDom("2","2","1","2","1") = "1"
& sK49_properties_for_commute_ElDom("2","2","1","2","2") = "1"
& sK49_properties_for_commute_ElDom("2","2","1","2","3") = "1"
& sK49_properties_for_commute_ElDom("2","2","1","3","1") = "2"
& sK49_properties_for_commute_ElDom("2","2","1","3","2") = "2"
& sK49_properties_for_commute_ElDom("2","2","1","3","3") = "2"
& sK49_properties_for_commute_ElDom("2","2","2","1","1") = "2"
& sK49_properties_for_commute_ElDom("2","2","2","1","2") = "2"
& sK49_properties_for_commute_ElDom("2","2","2","1","3") = "1"
& sK49_properties_for_commute_ElDom("2","2","2","2","1") = "2"
& sK49_properties_for_commute_ElDom("2","2","2","2","2") = "2"
& sK49_properties_for_commute_ElDom("2","2","2","2","3") = "1"
& sK49_properties_for_commute_ElDom("2","2","2","3","1") = "2"
& sK49_properties_for_commute_ElDom("2","2","2","3","2") = "3"
& sK49_properties_for_commute_ElDom("2","2","2","3","3") = "1"
& sK49_properties_for_commute_ElDom("2","2","3","1","1") = "1"
& sK49_properties_for_commute_ElDom("2","2","3","1","2") = "1"
& sK49_properties_for_commute_ElDom("2","2","3","1","3") = "1"
& sK49_properties_for_commute_ElDom("2","2","3","2","1") = "1"
& sK49_properties_for_commute_ElDom("2","2","3","2","2") = "1"
& sK49_properties_for_commute_ElDom("2","2","3","2","3") = "1"
& sK49_properties_for_commute_ElDom("2","2","3","3","1") = "1"
& sK49_properties_for_commute_ElDom("2","2","3","3","2") = "1"
& sK49_properties_for_commute_ElDom("2","2","3","3","3") = "1"
& sK49_properties_for_commute_ElDom("2","3","1","1","1") = "2"
& sK49_properties_for_commute_ElDom("2","3","1","1","2") = "2"
& sK49_properties_for_commute_ElDom("2","3","1","1","3") = "1"
& sK49_properties_for_commute_ElDom("2","3","1","2","1") = "2"
& sK49_properties_for_commute_ElDom("2","3","1","2","2") = "3"
& sK49_properties_for_commute_ElDom("2","3","1","2","3") = "3"
& sK49_properties_for_commute_ElDom("2","3","1","3","1") = "1"
& sK49_properties_for_commute_ElDom("2","3","1","3","2") = "3"
& sK49_properties_for_commute_ElDom("2","3","1","3","3") = "1"
& sK49_properties_for_commute_ElDom("2","3","2","1","1") = "2"
& sK49_properties_for_commute_ElDom("2","3","2","1","2") = "1"
& sK49_properties_for_commute_ElDom("2","3","2","1","3") = "3"
& sK49_properties_for_commute_ElDom("2","3","2","2","1") = "3"
& sK49_properties_for_commute_ElDom("2","3","2","2","2") = "1"
& sK49_properties_for_commute_ElDom("2","3","2","2","3") = "3"
& sK49_properties_for_commute_ElDom("2","3","2","3","1") = "3"
& sK49_properties_for_commute_ElDom("2","3","2","3","2") = "1"
& sK49_properties_for_commute_ElDom("2","3","2","3","3") = "3"
& sK49_properties_for_commute_ElDom("2","3","3","1","1") = "3"
& sK49_properties_for_commute_ElDom("2","3","3","1","2") = "3"
& sK49_properties_for_commute_ElDom("2","3","3","1","3") = "3"
& sK49_properties_for_commute_ElDom("2","3","3","2","1") = "2"
& sK49_properties_for_commute_ElDom("2","3","3","2","2") = "1"
& sK49_properties_for_commute_ElDom("2","3","3","2","3") = "3"
& sK49_properties_for_commute_ElDom("2","3","3","3","1") = "1"
& sK49_properties_for_commute_ElDom("2","3","3","3","2") = "1"
& sK49_properties_for_commute_ElDom("2","3","3","3","3") = "1"
& sK49_properties_for_commute_ElDom("3","1","1","1","1") = "1"
& sK49_properties_for_commute_ElDom("3","1","1","1","2") = "2"
& sK49_properties_for_commute_ElDom("3","1","1","1","3") = "1"
& sK49_properties_for_commute_ElDom("3","1","1","2","1") = "1"
& sK49_properties_for_commute_ElDom("3","1","1","2","2") = "2"
& sK49_properties_for_commute_ElDom("3","1","1","2","3") = "1"
& sK49_properties_for_commute_ElDom("3","1","1","3","1") = "1"
& sK49_properties_for_commute_ElDom("3","1","1","3","2") = "1"
& sK49_properties_for_commute_ElDom("3","1","1","3","3") = "1"
& sK49_properties_for_commute_ElDom("3","1","2","1","1") = "1"
& sK49_properties_for_commute_ElDom("3","1","2","1","2") = "1"
& sK49_properties_for_commute_ElDom("3","1","2","1","3") = "2"
& sK49_properties_for_commute_ElDom("3","1","2","2","1") = "2"
& sK49_properties_for_commute_ElDom("3","1","2","2","2") = "1"
& sK49_properties_for_commute_ElDom("3","1","2","2","3") = "2"
& sK49_properties_for_commute_ElDom("3","1","2","3","1") = "2"
& sK49_properties_for_commute_ElDom("3","1","2","3","2") = "2"
& sK49_properties_for_commute_ElDom("3","1","2","3","3") = "3"
& sK49_properties_for_commute_ElDom("3","1","3","1","1") = "2"
& sK49_properties_for_commute_ElDom("3","1","3","1","2") = "1"
& sK49_properties_for_commute_ElDom("3","1","3","1","3") = "1"
& sK49_properties_for_commute_ElDom("3","1","3","2","1") = "1"
& sK49_properties_for_commute_ElDom("3","1","3","2","2") = "1"
& sK49_properties_for_commute_ElDom("3","1","3","2","3") = "1"
& sK49_properties_for_commute_ElDom("3","1","3","3","1") = "1"
& sK49_properties_for_commute_ElDom("3","1","3","3","2") = "1"
& sK49_properties_for_commute_ElDom("3","1","3","3","3") = "1"
& sK49_properties_for_commute_ElDom("3","2","1","1","1") = "1"
& sK49_properties_for_commute_ElDom("3","2","1","1","2") = "2"
& sK49_properties_for_commute_ElDom("3","2","1","1","3") = "1"
& sK49_properties_for_commute_ElDom("3","2","1","2","1") = "2"
& sK49_properties_for_commute_ElDom("3","2","1","2","2") = "2"
& sK49_properties_for_commute_ElDom("3","2","1","2","3") = "2"
& sK49_properties_for_commute_ElDom("3","2","1","3","1") = "1"
& sK49_properties_for_commute_ElDom("3","2","1","3","2") = "2"
& sK49_properties_for_commute_ElDom("3","2","1","3","3") = "2"
& sK49_properties_for_commute_ElDom("3","2","2","1","1") = "1"
& sK49_properties_for_commute_ElDom("3","2","2","1","2") = "1"
& sK49_properties_for_commute_ElDom("3","2","2","1","3") = "1"
& sK49_properties_for_commute_ElDom("3","2","2","2","1") = "1"
& sK49_properties_for_commute_ElDom("3","2","2","2","2") = "2"
& sK49_properties_for_commute_ElDom("3","2","2","2","3") = "1"
& sK49_properties_for_commute_ElDom("3","2","2","3","1") = "1"
& sK49_properties_for_commute_ElDom("3","2","2","3","2") = "1"
& sK49_properties_for_commute_ElDom("3","2","2","3","3") = "1"
& sK49_properties_for_commute_ElDom("3","2","3","1","1") = "1"
& sK49_properties_for_commute_ElDom("3","2","3","1","2") = "1"
& sK49_properties_for_commute_ElDom("3","2","3","1","3") = "1"
& sK49_properties_for_commute_ElDom("3","2","3","2","1") = "1"
& sK49_properties_for_commute_ElDom("3","2","3","2","2") = "1"
& sK49_properties_for_commute_ElDom("3","2","3","2","3") = "1"
& sK49_properties_for_commute_ElDom("3","2","3","3","1") = "1"
& sK49_properties_for_commute_ElDom("3","2","3","3","2") = "1"
& sK49_properties_for_commute_ElDom("3","2","3","3","3") = "1"
& sK49_properties_for_commute_ElDom("3","3","1","1","1") = "1"
& sK49_properties_for_commute_ElDom("3","3","1","1","2") = "1"
& sK49_properties_for_commute_ElDom("3","3","1","1","3") = "1"
& sK49_properties_for_commute_ElDom("3","3","1","2","1") = "1"
& sK49_properties_for_commute_ElDom("3","3","1","2","2") = "2"
& sK49_properties_for_commute_ElDom("3","3","1","2","3") = "1"
& sK49_properties_for_commute_ElDom("3","3","1","3","1") = "1"
& sK49_properties_for_commute_ElDom("3","3","1","3","2") = "1"
& sK49_properties_for_commute_ElDom("3","3","1","3","3") = "2"
& sK49_properties_for_commute_ElDom("3","3","2","1","1") = "1"
& sK49_properties_for_commute_ElDom("3","3","2","1","2") = "1"
& sK49_properties_for_commute_ElDom("3","3","2","1","3") = "1"
& sK49_properties_for_commute_ElDom("3","3","2","2","1") = "1"
& sK49_properties_for_commute_ElDom("3","3","2","2","2") = "2"
& sK49_properties_for_commute_ElDom("3","3","2","2","3") = "1"
& sK49_properties_for_commute_ElDom("3","3","2","3","1") = "1"
& sK49_properties_for_commute_ElDom("3","3","2","3","2") = "1"
& sK49_properties_for_commute_ElDom("3","3","2","3","3") = "1"
& sK49_properties_for_commute_ElDom("3","3","3","1","1") = "1"
& sK49_properties_for_commute_ElDom("3","3","3","1","2") = "1"
& sK49_properties_for_commute_ElDom("3","3","3","1","3") = "1"
& sK49_properties_for_commute_ElDom("3","3","3","2","1") = "1"
& sK49_properties_for_commute_ElDom("3","3","3","2","2") = "1"
& sK49_properties_for_commute_ElDom("3","3","3","2","3") = "1"
& sK49_properties_for_commute_ElDom("3","3","3","3","1") = "1"
& sK49_properties_for_commute_ElDom("3","3","3","3","2") = "1"
& sK49_properties_for_commute_ElDom("3","3","3","3","3") = "1" ) ).
fof(sK9_properties_for_injection_El2,fi_functors,
( sK9_properties_for_injection_El2("1","1") = "3"
& sK9_properties_for_injection_El2("1","2") = "1"
& sK9_properties_for_injection_El2("1","3") = "2"
& sK9_properties_for_injection_El2("2","1") = "3"
& sK9_properties_for_injection_El2("2","2") = "1"
& sK9_properties_for_injection_El2("2","3") = "1"
& sK9_properties_for_injection_El2("3","1") = "1"
& sK9_properties_for_injection_El2("3","2") = "1"
& sK9_properties_for_injection_El2("3","3") = "1" ) ).
fof(subtract,fi_functors,
( subtract("1","1","1") = "1"
& subtract("1","1","2") = "1"
& subtract("1","1","3") = "3"
& subtract("1","2","1") = "1"
& subtract("1","2","2") = "2"
& subtract("1","2","3") = "1"
& subtract("1","3","1") = "3"
& subtract("1","3","2") = "2"
& subtract("1","3","3") = "3"
& subtract("2","1","1") = "3"
& subtract("2","1","2") = "2"
& subtract("2","1","3") = "1"
& subtract("2","2","1") = "2"
& subtract("2","2","2") = "2"
& subtract("2","2","3") = "1"
& subtract("2","3","1") = "3"
& subtract("2","3","2") = "1"
& subtract("2","3","3") = "1"
& subtract("3","1","1") = "3"
& subtract("3","1","2") = "2"
& subtract("3","1","3") = "1"
& subtract("3","2","1") = "1"
& subtract("3","2","2") = "3"
& subtract("3","2","3") = "2"
& subtract("3","3","1") = "1"
& subtract("3","3","2") = "2"
& subtract("3","3","3") = "3" ) ).
fof(surjection,fi_predicates,
( ( surjection("1")
<=> $true )
& ( surjection("2")
<=> $false )
& ( surjection("3")
<=> $true ) ) ).
fof(zero,fi_functors,
( zero("1") = "3"
& zero("2") = "2"
& zero("3") = "3" ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HAL003+1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 7 21:13:05 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 Paradox, version 4.0, 2010-06-29.
% 0.13/0.34 +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.13/0.34 Reading 'Axioms/HAL001+0.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/HAL001+0.ax') OK
% 0.13/0.36 +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.57 +++ BEGIN MODEL
% 0.20/0.57 SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.58 +++ END MODEL
% 0.20/0.58 +++ RESULT: CounterSatisfiable
% 0.20/0.58 SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------