TSTP Solution File: CAT023+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT023+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 : 0s
% DateTime : Thu Jul 14 23:54:17 EDT 2022
% Result : Timeout 300.06s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CAT023+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun May 29 22:19:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.79/1.22 *** allocated 10000 integers for termspace/termends
% 0.79/1.22 *** allocated 10000 integers for clauses
% 0.79/1.22 *** allocated 10000 integers for justifications
% 0.79/1.22 Bliksem 1.12
% 0.79/1.22
% 0.79/1.22
% 0.79/1.22 Automatic Strategy Selection
% 0.79/1.22
% 0.79/1.22 *** allocated 15000 integers for termspace/termends
% 0.79/1.22 *** allocated 22500 integers for termspace/termends
% 0.79/1.22
% 0.79/1.22 Clauses:
% 0.79/1.22
% 0.79/1.22 { v2_cat_1( skol1 ) }.
% 0.79/1.22 { l1_cat_1( skol1 ) }.
% 0.79/1.22 { v2_cat_1( skol34 ) }.
% 0.79/1.22 { l1_cat_1( skol34 ) }.
% 0.79/1.22 { v2_cat_1( skol35 ) }.
% 0.79/1.22 { l1_cat_1( skol35 ) }.
% 0.79/1.22 { m2_cat_1( skol36, k11_cat_2( skol1, skol34 ), skol35 ) }.
% 0.79/1.22 { ! r4_nattra_1( u1_cat_1( skol1 ), u2_cat_1( k12_nattra_1( skol34, skol35
% 0.79/1.22 ) ), u1_cat_1( skol1 ), u2_cat_1( k12_nattra_1( skol34, skol35 ) ),
% 0.79/1.22 k7_nattra_1( skol1, k12_nattra_1( skol34, skol35 ), k5_isocat_2( skol1,
% 0.79/1.22 skol34, skol35, skol36 ) ), k6_isocat_2( skol1, skol34, skol35, skol36,
% 0.79/1.22 skol36, k7_nattra_1( k11_cat_2( skol1, skol34 ), skol35, skol36 ) ) ) }.
% 0.79/1.22 { ! l1_cat_1( X ), ! v1_cat_1( X ), X = g1_cat_1( u1_cat_1( X ), u2_cat_1(
% 0.79/1.22 X ), u3_cat_1( X ), u4_cat_1( X ), u5_cat_1( X ), u6_cat_1( X ) ) }.
% 0.79/1.22 { ! r2_hidden( X, Y ), ! r2_hidden( Y, X ) }.
% 0.79/1.22 { ! m1_subset_1( X, k1_zfmisc_1( k2_zfmisc_1( Y, Z ) ) ), v1_relat_1( X ) }
% 0.79/1.22 .
% 0.79/1.22 { k2_tarski( X, Y ) = k2_tarski( Y, X ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 v1_cat_1( Z ), ! v2_cat_1( Z ), ! l1_cat_1( Z ), ! Z = k12_nattra_1( X, Y
% 0.79/1.22 ), u1_cat_1( Z ) = k7_cat_2( X, Y ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 v1_cat_1( Z ), ! v2_cat_1( Z ), ! l1_cat_1( Z ), ! Z = k12_nattra_1( X, Y
% 0.79/1.22 ), alpha7( X, Y, Z ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 v1_cat_1( Z ), ! v2_cat_1( Z ), ! l1_cat_1( Z ), ! u1_cat_1( Z ) =
% 0.79/1.22 k7_cat_2( X, Y ), ! alpha7( X, Y, Z ), Z = k12_nattra_1( X, Y ) }.
% 0.79/1.22 { ! alpha7( X, Y, Z ), u2_cat_1( Z ) = k11_nattra_1( X, Y ) }.
% 0.79/1.22 { ! alpha7( X, Y, Z ), alpha10( X, Y, Z ) }.
% 0.79/1.22 { ! u2_cat_1( Z ) = k11_nattra_1( X, Y ), ! alpha10( X, Y, Z ), alpha7( X,
% 0.79/1.22 Y, Z ) }.
% 0.79/1.22 { ! alpha10( X, Y, Z ), alpha1( Z ) }.
% 0.79/1.22 { ! alpha10( X, Y, Z ), alpha12( X, Y, Z ) }.
% 0.79/1.22 { ! alpha1( Z ), ! alpha12( X, Y, Z ), alpha10( X, Y, Z ) }.
% 0.79/1.22 { ! alpha12( X, Y, Z ), alpha3( Z ) }.
% 0.79/1.22 { ! alpha12( X, Y, Z ), alpha13( X, Y, Z ) }.
% 0.79/1.22 { ! alpha3( Z ), ! alpha13( X, Y, Z ), alpha12( X, Y, Z ) }.
% 0.79/1.22 { ! alpha13( X, Y, Z ), alpha14( X, Y, Z ) }.
% 0.79/1.22 { ! alpha13( X, Y, Z ), alpha15( X, Y, Z ) }.
% 0.79/1.22 { ! alpha14( X, Y, Z ), ! alpha15( X, Y, Z ), alpha13( X, Y, Z ) }.
% 0.79/1.22 { ! alpha15( X, Y, Z ), ! m1_subset_1( T, u1_cat_1( Z ) ), alpha17( X, Y, Z
% 0.79/1.22 , T ) }.
% 0.79/1.22 { m1_subset_1( skol2( T, U, Z ), u1_cat_1( Z ) ), alpha15( X, Y, Z ) }.
% 0.79/1.22 { ! alpha17( X, Y, Z, skol2( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.79/1.22 { ! alpha17( X, Y, Z, T ), ! m2_cat_1( U, X, Y ), alpha19( X, Y, Z, T, U )
% 0.79/1.22 }.
% 0.79/1.22 { m2_cat_1( skol3( X, Y, U, W ), X, Y ), alpha17( X, Y, Z, T ) }.
% 0.79/1.22 { ! alpha19( X, Y, Z, T, skol3( X, Y, Z, T ) ), alpha17( X, Y, Z, T ) }.
% 0.79/1.22 { ! alpha19( X, Y, Z, T, U ), ! U = T, k10_cat_1( Z, T ) = k4_tarski(
% 0.79/1.22 k4_tarski( U, U ), k7_nattra_1( X, Y, U ) ) }.
% 0.79/1.22 { U = T, alpha19( X, Y, Z, T, U ) }.
% 0.79/1.22 { ! k10_cat_1( Z, T ) = k4_tarski( k4_tarski( U, U ), k7_nattra_1( X, Y, U
% 0.79/1.22 ) ), alpha19( X, Y, Z, T, U ) }.
% 0.79/1.22 { ! alpha14( X, Y, Z ), ! m1_subset_1( T, u2_cat_1( Z ) ), alpha16( X, Y, Z
% 0.79/1.22 , T ) }.
% 0.79/1.22 { m1_subset_1( skol4( T, U, Z ), u2_cat_1( Z ) ), alpha14( X, Y, Z ) }.
% 0.79/1.22 { ! alpha16( X, Y, Z, skol4( X, Y, Z ) ), alpha14( X, Y, Z ) }.
% 0.79/1.22 { ! alpha16( X, Y, Z, T ), ! m1_subset_1( U, u2_cat_1( Z ) ), alpha18( X, Y
% 0.79/1.22 , Z, T, U ) }.
% 0.79/1.22 { m1_subset_1( skol5( U, W, Z, V0 ), u2_cat_1( Z ) ), alpha16( X, Y, Z, T )
% 0.79/1.22 }.
% 0.79/1.22 { ! alpha18( X, Y, Z, T, skol5( X, Y, Z, T ) ), alpha16( X, Y, Z, T ) }.
% 0.79/1.22 { ! alpha18( X, Y, Z, T, U ), ! r2_hidden( k13_cat_2( Z, Z, U, T ),
% 0.79/1.22 k1_relat_1( u5_cat_1( Z ) ) ), ! alpha20( X, Y, Z, T, U ) }.
% 0.79/1.22 { r2_hidden( k13_cat_2( Z, Z, U, T ), k1_relat_1( u5_cat_1( Z ) ) ),
% 0.79/1.22 alpha18( X, Y, Z, T, U ) }.
% 0.79/1.22 { alpha20( X, Y, Z, T, U ), alpha18( X, Y, Z, T, U ) }.
% 0.79/1.22 { ! alpha20( X, Y, Z, T, U ), ! m2_cat_1( W, X, Y ), alpha21( X, Y, Z, T, U
% 0.79/1.22 , W ) }.
% 0.79/1.22 { m2_cat_1( skol6( X, Y, W, V0, V1 ), X, Y ), alpha20( X, Y, Z, T, U ) }.
% 0.79/1.22 { ! alpha21( X, Y, Z, T, U, skol6( X, Y, Z, T, U ) ), alpha20( X, Y, Z, T,
% 0.79/1.22 U ) }.
% 0.79/1.22 { ! alpha21( X, Y, Z, T, U, W ), ! m2_cat_1( V0, X, Y ), alpha22( X, Y, Z,
% 0.79/1.22 T, U, W, V0 ) }.
% 0.79/1.22 { m2_cat_1( skol7( X, Y, V0, V1, V2, V3 ), X, Y ), alpha21( X, Y, Z, T, U,
% 0.79/1.22 W ) }.
% 0.79/1.22 { ! alpha22( X, Y, Z, T, U, W, skol7( X, Y, Z, T, U, W ) ), alpha21( X, Y,
% 0.79/1.22 Z, T, U, W ) }.
% 0.79/1.22 { ! alpha22( X, Y, Z, T, U, W, V0 ), ! m2_cat_1( V1, X, Y ), alpha23( X, Y
% 0.79/1.22 , Z, T, U, W, V0, V1 ) }.
% 0.79/1.22 { m2_cat_1( skol8( X, Y, V1, V2, V3, V4, V5 ), X, Y ), alpha22( X, Y, Z, T
% 0.79/1.22 , U, W, V0 ) }.
% 0.79/1.22 { ! alpha23( X, Y, Z, T, U, W, V0, skol8( X, Y, Z, T, U, W, V0 ) ), alpha22
% 0.79/1.22 ( X, Y, Z, T, U, W, V0 ) }.
% 0.79/1.22 { ! alpha23( X, Y, Z, T, U, W, V0, V1 ), ! m2_nattra_1( V2, X, Y, W, V0 ),
% 0.79/1.22 alpha24( X, Y, Z, T, U, W, V0, V1, V2 ) }.
% 0.79/1.22 { m2_nattra_1( skol9( X, Y, V2, V3, V4, W, V0, V5 ), X, Y, W, V0 ), alpha23
% 0.79/1.22 ( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.79/1.22 { ! alpha24( X, Y, Z, T, U, W, V0, V1, skol9( X, Y, Z, T, U, W, V0, V1 ) )
% 0.79/1.22 , alpha23( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.79/1.22 { ! alpha24( X, Y, Z, T, U, W, V0, V1, V2 ), ! m2_nattra_1( V3, X, Y, V0,
% 0.79/1.22 V1 ), alpha25( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }.
% 0.79/1.22 { m2_nattra_1( skol10( X, Y, V3, V4, V5, V6, V0, V1, V7 ), X, Y, V0, V1 ),
% 0.79/1.22 alpha24( X, Y, Z, T, U, W, V0, V1, V2 ) }.
% 0.79/1.22 { ! alpha25( X, Y, Z, T, U, W, V0, V1, V2, skol10( X, Y, Z, T, U, W, V0, V1
% 0.79/1.22 , V2 ) ), alpha24( X, Y, Z, T, U, W, V0, V1, V2 ) }.
% 0.79/1.22 { ! alpha25( X, Y, Z, T, U, W, V0, V1, V2, V3 ), ! T = k4_tarski( k4_tarski
% 0.79/1.22 ( W, V0 ), V2 ), ! alpha26( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }.
% 0.79/1.22 { T = k4_tarski( k4_tarski( W, V0 ), V2 ), alpha25( X, Y, Z, T, U, W, V0,
% 0.79/1.22 V1, V2, V3 ) }.
% 0.79/1.22 { alpha26( X, Y, Z, T, U, W, V0, V1, V2, V3 ), alpha25( X, Y, Z, T, U, W,
% 0.79/1.22 V0, V1, V2, V3 ) }.
% 0.79/1.22 { ! alpha26( X, Y, Z, T, U, W, V0, V1, V2, V3 ), U = k4_tarski( k4_tarski(
% 0.79/1.22 V0, V1 ), V3 ) }.
% 0.79/1.22 { ! alpha26( X, Y, Z, T, U, W, V0, V1, V2, V3 ), k1_funct_1( u5_cat_1( Z )
% 0.79/1.22 , k13_cat_2( Z, Z, U, T ) ) = k4_tarski( k4_tarski( W, V1 ), k8_nattra_1
% 0.79/1.22 ( X, Y, W, V0, V1, V2, V3 ) ) }.
% 0.79/1.22 { ! U = k4_tarski( k4_tarski( V0, V1 ), V3 ), ! k1_funct_1( u5_cat_1( Z ),
% 0.79/1.22 k13_cat_2( Z, Z, U, T ) ) = k4_tarski( k4_tarski( W, V1 ), k8_nattra_1( X
% 0.79/1.22 , Y, W, V0, V1, V2, V3 ) ), alpha26( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }
% 0.79/1.22 .
% 0.79/1.22 { ! alpha3( X ), ! m1_subset_1( Y, u2_cat_1( X ) ), alpha8( X, Y ) }.
% 0.79/1.22 { m1_subset_1( skol11( X ), u2_cat_1( X ) ), alpha3( X ) }.
% 0.79/1.22 { ! alpha8( X, skol11( X ) ), alpha3( X ) }.
% 0.79/1.22 { ! alpha8( X, Y ), ! m1_subset_1( Z, u2_cat_1( X ) ), alpha11( X, Y, Z ) }
% 0.79/1.22 .
% 0.79/1.22 { m1_subset_1( skol12( X, Z ), u2_cat_1( X ) ), alpha8( X, Y ) }.
% 0.79/1.22 { ! alpha11( X, Y, skol12( X, Y ) ), alpha8( X, Y ) }.
% 0.79/1.22 { ! alpha11( X, Y, Z ), ! k2_cat_1( X, Z ) = k3_cat_1( X, Y ), r2_hidden(
% 0.79/1.22 k13_cat_2( X, X, Z, Y ), k1_relat_1( u5_cat_1( X ) ) ) }.
% 0.79/1.22 { k2_cat_1( X, Z ) = k3_cat_1( X, Y ), alpha11( X, Y, Z ) }.
% 0.79/1.22 { ! r2_hidden( k13_cat_2( X, X, Z, Y ), k1_relat_1( u5_cat_1( X ) ) ),
% 0.79/1.22 alpha11( X, Y, Z ) }.
% 0.79/1.22 { ! alpha1( X ), ! m1_subset_1( Y, u2_cat_1( X ) ), alpha4( X, Y ) }.
% 0.79/1.22 { m1_subset_1( skol13( X ), u2_cat_1( X ) ), alpha1( X ) }.
% 0.79/1.22 { ! alpha4( X, skol13( X ) ), alpha1( X ) }.
% 0.79/1.22 { ! alpha4( X, Y ), k2_cat_1( X, Y ) = k1_mcart_1( k1_mcart_1( Y ) ) }.
% 0.79/1.22 { ! alpha4( X, Y ), k3_cat_1( X, Y ) = k2_mcart_1( k1_mcart_1( Y ) ) }.
% 0.79/1.22 { ! k2_cat_1( X, Y ) = k1_mcart_1( k1_mcart_1( Y ) ), ! k3_cat_1( X, Y ) =
% 0.79/1.22 k2_mcart_1( k1_mcart_1( Y ) ), alpha4( X, Y ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), ! m1_subset_1( T, u1_cat_1( X ) ), ! m1_subset_1( U
% 0.79/1.22 , u1_cat_1( X ) ), k6_cat_1( X, T, U ) = k1_xboole_0, ! m1_cat_1( W, X, T
% 0.79/1.22 , U ), k3_nattra_1( X, Y, Z, T, U, W ) = k8_funct_2( u2_cat_1( X ),
% 0.79/1.22 u2_cat_1( Y ), Z, W ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 v2_cat_1( Z ), ! l1_cat_1( Z ), ! m2_cat_1( T, k11_cat_2( X, Y ), Z ), !
% 0.79/1.22 m2_cat_1( U, k11_cat_2( X, Y ), Z ), ! r2_nattra_1( k11_cat_2( X, Y ), Z
% 0.79/1.22 , T, U ), ! m2_nattra_1( W, k11_cat_2( X, Y ), Z, T, U ), ! m2_nattra_1(
% 0.79/1.22 V0, X, k12_nattra_1( Y, Z ), k5_isocat_2( X, Y, Z, T ), k5_isocat_2( X, Y
% 0.79/1.22 , Z, U ) ), ! V0 = k6_isocat_2( X, Y, Z, T, U, W ), ! alpha2( X, Y, Z, V1
% 0.79/1.22 ), alpha9( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 v2_cat_1( Z ), ! l1_cat_1( Z ), ! m2_cat_1( T, k11_cat_2( X, Y ), Z ), !
% 0.79/1.22 m2_cat_1( U, k11_cat_2( X, Y ), Z ), ! r2_nattra_1( k11_cat_2( X, Y ), Z
% 0.79/1.22 , T, U ), ! m2_nattra_1( W, k11_cat_2( X, Y ), Z, T, U ), ! m2_nattra_1(
% 0.79/1.22 V0, X, k12_nattra_1( Y, Z ), k5_isocat_2( X, Y, Z, T ), k5_isocat_2( X, Y
% 0.79/1.22 , Z, U ) ), alpha2( X, Y, Z, skol14( X, Y, Z, V1, V2, V3, V4 ) ), V0 =
% 0.79/1.22 k6_isocat_2( X, Y, Z, T, U, W ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 v2_cat_1( Z ), ! l1_cat_1( Z ), ! m2_cat_1( T, k11_cat_2( X, Y ), Z ), !
% 0.79/1.22 m2_cat_1( U, k11_cat_2( X, Y ), Z ), ! r2_nattra_1( k11_cat_2( X, Y ), Z
% 0.79/1.22 , T, U ), ! m2_nattra_1( W, k11_cat_2( X, Y ), Z, T, U ), ! m2_nattra_1(
% 0.79/1.22 V0, X, k12_nattra_1( Y, Z ), k5_isocat_2( X, Y, Z, T ), k5_isocat_2( X, Y
% 0.79/1.22 , Z, U ) ), ! alpha9( X, Y, Z, T, U, W, V0, skol14( X, Y, Z, T, U, W, V0
% 0.79/1.22 ) ), V0 = k6_isocat_2( X, Y, Z, T, U, W ) }.
% 0.79/1.22 { ! alpha9( X, Y, Z, T, U, W, V0, V1 ), ! r4_nattra_1( u1_cat_1( k11_cat_2
% 0.79/1.22 ( X, Y ) ), u2_cat_1( Z ), k2_zfmisc_1( u1_cat_1( X ), u1_cat_1( Y ) ),
% 0.79/1.22 u2_cat_1( Z ), W, V1 ), alpha5( X, Y, Z, T, U, V0, V1 ) }.
% 0.79/1.22 { r4_nattra_1( u1_cat_1( k11_cat_2( X, Y ) ), u2_cat_1( Z ), k2_zfmisc_1(
% 0.79/1.22 u1_cat_1( X ), u1_cat_1( Y ) ), u2_cat_1( Z ), W, V1 ), alpha9( X, Y, Z,
% 0.79/1.22 T, U, W, V0, V1 ) }.
% 0.79/1.22 { ! alpha5( X, Y, Z, T, U, V0, V1 ), alpha9( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.79/1.22 { ! alpha5( X, Y, Z, T, U, W, V0 ), ! m1_subset_1( V1, u1_cat_1( X ) ),
% 0.79/1.22 k5_nattra_1( X, k12_nattra_1( Y, Z ), k5_isocat_2( X, Y, Z, T ),
% 0.79/1.22 k5_isocat_2( X, Y, Z, U ), W, V1 ) = k4_tarski( k12_cat_2( k12_nattra_1(
% 0.79/1.22 Y, Z ), k12_nattra_1( Y, Z ), k13_cat_1( X, k12_nattra_1( Y, Z ),
% 0.79/1.22 k5_isocat_2( X, Y, Z, T ), V1 ), k13_cat_1( X, k12_nattra_1( Y, Z ),
% 0.79/1.22 k5_isocat_2( X, Y, Z, U ), V1 ) ), k1_cat_2( u1_cat_1( X ), u1_cat_1( Y )
% 0.79/1.22 , u2_cat_1( Z ), k1_fraenkel( u1_cat_1( Y ), u2_cat_1( Z ) ), k2_cat_2(
% 0.79/1.22 u1_cat_1( X ), u1_cat_1( Y ), u2_cat_1( Z ), V0 ), V1 ) ) }.
% 0.79/1.22 { m1_subset_1( skol15( X, V1, V2, V3, V4, V5, V6 ), u1_cat_1( X ) ), alpha5
% 0.79/1.22 ( X, Y, Z, T, U, W, V0 ) }.
% 0.79/1.22 { ! k5_nattra_1( X, k12_nattra_1( Y, Z ), k5_isocat_2( X, Y, Z, T ),
% 0.79/1.22 k5_isocat_2( X, Y, Z, U ), W, skol15( X, Y, Z, T, U, W, V0 ) ) =
% 0.79/1.22 k4_tarski( k12_cat_2( k12_nattra_1( Y, Z ), k12_nattra_1( Y, Z ),
% 0.79/1.22 k13_cat_1( X, k12_nattra_1( Y, Z ), k5_isocat_2( X, Y, Z, T ), skol15( X
% 0.79/1.22 , Y, Z, T, U, W, V0 ) ), k13_cat_1( X, k12_nattra_1( Y, Z ), k5_isocat_2
% 0.79/1.22 ( X, Y, Z, U ), skol15( X, Y, Z, T, U, W, V0 ) ) ), k1_cat_2( u1_cat_1( X
% 0.79/1.22 ), u1_cat_1( Y ), u2_cat_1( Z ), k1_fraenkel( u1_cat_1( Y ), u2_cat_1( Z
% 0.79/1.22 ) ), k2_cat_2( u1_cat_1( X ), u1_cat_1( Y ), u2_cat_1( Z ), V0 ), skol15
% 0.79/1.22 ( X, Y, Z, T, U, W, V0 ) ) ), alpha5( X, Y, Z, T, U, W, V0 ) }.
% 0.79/1.22 { ! alpha2( X, Y, Z, T ), v1_funct_1( T ) }.
% 0.79/1.22 { ! alpha2( X, Y, Z, T ), alpha6( X, Y, Z, T ) }.
% 0.79/1.22 { ! v1_funct_1( T ), ! alpha6( X, Y, Z, T ), alpha2( X, Y, Z, T ) }.
% 0.79/1.22 { ! alpha6( X, Y, Z, T ), v1_funct_2( T, k2_zfmisc_1( u1_cat_1( X ),
% 0.79/1.22 u1_cat_1( Y ) ), u2_cat_1( Z ) ) }.
% 0.79/1.22 { ! alpha6( X, Y, Z, T ), m2_relset_1( T, k2_zfmisc_1( u1_cat_1( X ),
% 0.79/1.22 u1_cat_1( Y ) ), u2_cat_1( Z ) ) }.
% 0.79/1.22 { ! v1_funct_2( T, k2_zfmisc_1( u1_cat_1( X ), u1_cat_1( Y ) ), u2_cat_1( Z
% 0.79/1.22 ) ), ! m2_relset_1( T, k2_zfmisc_1( u1_cat_1( X ), u1_cat_1( Y ) ),
% 0.79/1.22 u2_cat_1( Z ) ), alpha6( X, Y, Z, T ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), ! m2_cat_1( T, X, Y ), ! r1_nattra_1( X, Y, Z, T ),
% 0.79/1.22 ! m1_nattra_1( U, X, Y, Z, T ), ! m1_subset_1( W, u1_cat_1( X ) ),
% 0.79/1.22 k5_nattra_1( X, Y, Z, T, U, W ) = k8_funct_2( u1_cat_1( X ), u2_cat_1( Y
% 0.79/1.22 ), U, W ) }.
% 0.79/1.22 { k4_tarski( X, Y ) = k2_tarski( k2_tarski( X, Y ), k1_tarski( X ) ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), ! v1_funct_1( Z ), ! v1_funct_2( Z, Y
% 0.79/1.22 , X ), ! m1_relset_1( Z, Y, X ), ! v1_funct_1( T ), ! v1_funct_2( T, Y, X
% 0.79/1.22 ), ! m1_relset_1( T, Y, X ), ! v1_funct_1( U ), ! m1_relset_1( U,
% 0.79/1.22 k2_zfmisc_1( Y, Y ), Y ), ! v1_funct_1( W ), ! v1_funct_2( W, X, Y ), !
% 0.79/1.22 m1_relset_1( W, X, Y ), v1_cat_1( g1_cat_1( X, Y, Z, T, U, W ) ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), ! v1_funct_1( Z ), ! v1_funct_2( Z, Y
% 0.79/1.22 , X ), ! m1_relset_1( Z, Y, X ), ! v1_funct_1( T ), ! v1_funct_2( T, Y, X
% 0.79/1.22 ), ! m1_relset_1( T, Y, X ), ! v1_funct_1( U ), ! m1_relset_1( U,
% 0.79/1.22 k2_zfmisc_1( Y, Y ), Y ), ! v1_funct_1( W ), ! v1_funct_2( W, X, Y ), !
% 0.79/1.22 m1_relset_1( W, X, Y ), l1_cat_1( g1_cat_1( X, Y, Z, T, U, W ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! m1_subset_1( Y, u1_cat_1( X ) ),
% 0.79/1.22 m1_cat_1( k10_cat_1( X, Y ), X, Y, Y ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), ! v1_funct_1( Z ), ! m1_relset_1( Z,
% 0.79/1.22 k2_zfmisc_1( X, X ), X ), ! v1_funct_1( T ), ! m1_relset_1( T,
% 0.79/1.22 k2_zfmisc_1( Y, Y ), Y ), v1_funct_1( k10_cat_2( X, Y, Z, T ) ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), ! v1_funct_1( Z ), ! m1_relset_1( Z,
% 0.79/1.22 k2_zfmisc_1( X, X ), X ), ! v1_funct_1( T ), ! m1_relset_1( T,
% 0.79/1.22 k2_zfmisc_1( Y, Y ), Y ), m2_relset_1( k10_cat_2( X, Y, Z, T ),
% 0.79/1.22 k2_zfmisc_1( k2_zfmisc_1( X, Y ), k2_zfmisc_1( X, Y ) ), k2_zfmisc_1( X,
% 0.79/1.22 Y ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ),
% 0.79/1.22 v2_cat_1( k11_cat_2( X, Y ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ),
% 0.79/1.22 l1_cat_1( k11_cat_2( X, Y ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ),
% 0.79/1.22 m4_nattra_1( k11_nattra_1( X, Y ), X, Y ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m1_subset_1( Z, u1_cat_1( X ) ), ! m1_subset_1( T, u1_cat_1( Y ) ),
% 0.79/1.22 m1_subset_1( k12_cat_2( X, Y, Z, T ), u1_cat_1( k11_cat_2( X, Y ) ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ),
% 0.79/1.22 v1_cat_1( k12_nattra_1( X, Y ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ),
% 0.79/1.22 v2_cat_1( k12_nattra_1( X, Y ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ),
% 0.79/1.22 l1_cat_1( k12_nattra_1( X, Y ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), ! m1_subset_1( T, u1_cat_1( X ) ), m1_subset_1(
% 0.79/1.22 k13_cat_1( X, Y, Z, T ), u1_cat_1( Y ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m1_subset_1( Z, u2_cat_1( X ) ), ! m1_subset_1( T, u2_cat_1( Y ) ),
% 0.79/1.22 m1_subset_1( k13_cat_2( X, Y, Z, T ), u2_cat_1( k11_cat_2( X, Y ) ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 v2_cat_1( Z ), ! l1_cat_1( Z ), ! m2_cat_1( T, k11_cat_2( X, Y ), Z ), !
% 0.79/1.22 m1_subset_1( U, u1_cat_1( X ) ), m2_cat_1( k14_cat_2( X, Y, Z, T, U ), Y
% 0.79/1.22 , Z ) }.
% 0.79/1.22 { ! v1_relat_1( X ), ! v1_funct_1( X ), ! v1_relat_1( Y ), ! v1_funct_1( Y
% 0.79/1.22 ), v1_relat_1( k15_funct_3( X, Y ) ) }.
% 0.79/1.22 { ! v1_relat_1( X ), ! v1_funct_1( X ), ! v1_relat_1( Y ), ! v1_funct_1( Y
% 0.79/1.22 ), v1_funct_1( k15_funct_3( X, Y ) ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Z ), ! m1_fraenkel( T, Y, Z ), !
% 0.79/1.22 v1_funct_1( U ), ! v1_funct_2( U, X, T ), ! m1_relset_1( U, X, T ), !
% 0.79/1.22 m1_subset_1( W, X ), m2_fraenkel( k1_cat_2( X, Y, Z, T, U, W ), Y, Z, T )
% 0.79/1.22 }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), ! m1_subset_1( Z, X ), ! m1_subset_1
% 0.79/1.22 ( T, Y ), m1_subset_1( k1_domain_1( X, Y, Z, T ), k2_zfmisc_1( X, Y ) ) }
% 0.79/1.22 .
% 0.79/1.22 { v1_xboole_0( X ), m1_fraenkel( k1_fraenkel( Y, X ), Y, X ) }.
% 0.79/1.22 { && }.
% 0.79/1.22 { && }.
% 0.79/1.22 { && }.
% 0.79/1.22 { && }.
% 0.79/1.22 { && }.
% 0.79/1.22 { && }.
% 0.79/1.22 { && }.
% 0.79/1.22 { ! l1_cat_1( X ), ! m1_subset_1( Y, u2_cat_1( X ) ), m1_subset_1( k2_cat_1
% 0.79/1.22 ( X, Y ), u1_cat_1( X ) ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), v1_xboole_0( Z ), ! v1_funct_1( T ),
% 0.79/1.22 ! v1_funct_2( T, k2_zfmisc_1( X, Y ), Z ), ! m1_relset_1( T, k2_zfmisc_1
% 0.79/1.22 ( X, Y ), Z ), v1_funct_1( k2_cat_2( X, Y, Z, T ) ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), v1_xboole_0( Z ), ! v1_funct_1( T ),
% 0.79/1.22 ! v1_funct_2( T, k2_zfmisc_1( X, Y ), Z ), ! m1_relset_1( T, k2_zfmisc_1
% 0.79/1.22 ( X, Y ), Z ), v1_funct_2( k2_cat_2( X, Y, Z, T ), X, k1_fraenkel( Y, Z )
% 0.79/1.22 ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), v1_xboole_0( Z ), ! v1_funct_1( T ),
% 0.79/1.22 ! v1_funct_2( T, k2_zfmisc_1( X, Y ), Z ), ! m1_relset_1( T, k2_zfmisc_1
% 0.79/1.22 ( X, Y ), Z ), m2_relset_1( k2_cat_2( X, Y, Z, T ), X, k1_fraenkel( Y, Z
% 0.79/1.22 ) ) }.
% 0.79/1.22 { && }.
% 0.79/1.22 { && }.
% 0.79/1.22 { && }.
% 0.79/1.22 { ! l1_cat_1( X ), ! m1_subset_1( Y, u2_cat_1( X ) ), m1_subset_1( k3_cat_1
% 0.79/1.22 ( X, Y ), u1_cat_1( X ) ) }.
% 0.79/1.22 { ! v1_relat_1( X ), ! v1_funct_1( X ), ! v1_relat_1( Y ), ! v1_funct_1( Y
% 0.79/1.22 ), v1_relat_1( k3_funct_4( X, Y ) ) }.
% 0.79/1.22 { ! v1_relat_1( X ), ! v1_funct_1( X ), ! v1_relat_1( Y ), ! v1_funct_1( Y
% 0.79/1.22 ), v1_funct_1( k3_funct_4( X, Y ) ) }.
% 0.79/1.22 { ! v1_relat_1( X ), ! v1_funct_1( X ), v1_relat_1( k3_funct_5( X ) ) }.
% 0.79/1.22 { ! v1_relat_1( X ), ! v1_funct_1( X ), v1_funct_1( k3_funct_5( X ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), ! m1_subset_1( T, u1_cat_1( X ) ), ! m1_subset_1( U
% 0.79/1.22 , u1_cat_1( X ) ), ! m1_cat_1( W, X, T, U ), m1_cat_1( k3_nattra_1( X, Y
% 0.79/1.22 , Z, T, U, W ), Y, k13_cat_1( X, Y, Z, T ), k13_cat_1( X, Y, Z, U ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), m1_nattra_1( k4_nattra_1( X, Y, Z ), X, Y, Z, Z ) }
% 0.79/1.22 .
% 0.79/1.22 { && }.
% 0.79/1.22 { ! l1_cat_1( X ), ! m1_subset_1( Y, u1_cat_1( X ) ), m1_subset_1( k5_cat_1
% 0.79/1.22 ( X, Y ), u2_cat_1( X ) ) }.
% 0.79/1.22 { && }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 v2_cat_1( Z ), ! l1_cat_1( Z ), ! m2_cat_1( T, k11_cat_2( X, Y ), Z ),
% 0.79/1.22 m2_cat_1( k5_isocat_2( X, Y, Z, T ), X, k12_nattra_1( Y, Z ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), ! m2_cat_1( T, X, Y ), ! m1_nattra_1( U, X, Y, Z, T
% 0.79/1.22 ), ! m1_subset_1( W, u1_cat_1( X ) ), m1_cat_1( k5_nattra_1( X, Y, Z, T
% 0.79/1.22 , U, W ), Y, k13_cat_1( X, Y, Z, W ), k13_cat_1( X, Y, T, W ) ) }.
% 0.79/1.22 { ! l1_cat_1( X ), ! m1_subset_1( Y, u1_cat_1( X ) ), ! m1_subset_1( Z,
% 0.79/1.22 u1_cat_1( X ) ), m1_subset_1( k6_cat_1( X, Y, Z ), k1_zfmisc_1( u2_cat_1
% 0.79/1.22 ( X ) ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 v2_cat_1( Z ), ! l1_cat_1( Z ), ! m2_cat_1( T, k11_cat_2( X, Y ), Z ), !
% 0.79/1.22 m2_cat_1( U, k11_cat_2( X, Y ), Z ), ! m2_nattra_1( W, k11_cat_2( X, Y )
% 0.79/1.22 , Z, T, U ), m2_nattra_1( k6_isocat_2( X, Y, Z, T, U, W ), X,
% 0.79/1.22 k12_nattra_1( Y, Z ), k5_isocat_2( X, Y, Z, T ), k5_isocat_2( X, Y, Z, U
% 0.79/1.22 ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ),
% 0.79/1.22 m1_cat_2( k7_cat_2( X, Y ), X, Y ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), m2_nattra_1( k7_nattra_1( X, Y, Z ), X, Y, Z, Z ) }
% 0.79/1.22 .
% 0.79/1.22 { v1_xboole_0( X ), ! v1_funct_1( Z ), ! v1_funct_2( Z, X, Y ), !
% 0.79/1.22 m1_relset_1( Z, X, Y ), ! m1_subset_1( T, X ), m1_subset_1( k8_funct_2( X
% 0.79/1.22 , Y, Z, T ), Y ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), ! m2_cat_1( T, X, Y ), ! m2_cat_1( U, X, Y ), !
% 0.79/1.22 m2_nattra_1( W, X, Y, Z, T ), ! m2_nattra_1( V0, X, Y, T, U ),
% 0.79/1.22 m2_nattra_1( k8_nattra_1( X, Y, Z, T, U, W, V0 ), X, Y, Z, U ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), v1_xboole_0( Z ), v1_xboole_0( T ), !
% 0.79/1.22 v1_funct_1( U ), ! v1_funct_2( U, X, Z ), ! m1_relset_1( U, X, Z ), !
% 0.79/1.22 v1_funct_1( W ), ! v1_funct_2( W, Y, T ), ! m1_relset_1( W, Y, T ),
% 0.79/1.22 v1_funct_1( k9_cat_2( X, Y, Z, T, U, W ) ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), v1_xboole_0( Z ), v1_xboole_0( T ), !
% 0.79/1.22 v1_funct_1( U ), ! v1_funct_2( U, X, Z ), ! m1_relset_1( U, X, Z ), !
% 0.79/1.22 v1_funct_1( W ), ! v1_funct_2( W, Y, T ), ! m1_relset_1( W, Y, T ),
% 0.79/1.22 v1_funct_2( k9_cat_2( X, Y, Z, T, U, W ), k2_zfmisc_1( X, Y ),
% 0.79/1.22 k2_zfmisc_1( Z, T ) ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), v1_xboole_0( Z ), v1_xboole_0( T ), !
% 0.79/1.22 v1_funct_1( U ), ! v1_funct_2( U, X, Z ), ! m1_relset_1( U, X, Z ), !
% 0.79/1.22 v1_funct_1( W ), ! v1_funct_2( W, Y, T ), ! m1_relset_1( W, Y, T ),
% 0.79/1.22 m2_relset_1( k9_cat_2( X, Y, Z, T, U, W ), k2_zfmisc_1( X, Y ),
% 0.79/1.22 k2_zfmisc_1( Z, T ) ) }.
% 0.79/1.22 { && }.
% 0.79/1.22 { ! l1_cat_1( X ), ! m1_subset_1( Y, u1_cat_1( X ) ), ! m1_subset_1( Z,
% 0.79/1.22 u1_cat_1( X ) ), ! m1_cat_1( T, X, Y, Z ), m1_subset_1( T, u2_cat_1( X )
% 0.79/1.22 ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m1_cat_2( Z, X, Y ), ! v1_xboole_0( Z ) }.
% 0.79/1.22 { ! m1_fraenkel( X, Y, Z ), ! v1_xboole_0( X ) }.
% 0.79/1.22 { ! m1_fraenkel( X, Y, Z ), v1_fraenkel( X ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), ! m2_cat_1( T, X, Y ), ! m1_nattra_1( U, X, Y, Z, T
% 0.79/1.22 ), v1_funct_1( U ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), ! m2_cat_1( T, X, Y ), ! m1_nattra_1( U, X, Y, Z, T
% 0.79/1.22 ), v1_funct_2( U, u1_cat_1( X ), u2_cat_1( Y ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), ! m2_cat_1( T, X, Y ), ! m1_nattra_1( U, X, Y, Z, T
% 0.79/1.22 ), m2_relset_1( U, u1_cat_1( X ), u2_cat_1( Y ) ) }.
% 0.79/1.22 { && }.
% 0.79/1.22 { && }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), v1_funct_1( Z ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), v1_funct_2( Z, u2_cat_1( X ), u2_cat_1( Y ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), m2_relset_1( Z, u2_cat_1( X ), u2_cat_1( Y ) ) }.
% 0.79/1.22 { v1_xboole_0( Y ), ! m1_fraenkel( Z, X, Y ), ! m2_fraenkel( T, X, Y, Z ),
% 0.79/1.22 v1_funct_1( T ) }.
% 0.79/1.22 { v1_xboole_0( Y ), ! m1_fraenkel( Z, X, Y ), ! m2_fraenkel( T, X, Y, Z ),
% 0.79/1.22 v1_funct_2( T, X, Y ) }.
% 0.79/1.22 { v1_xboole_0( Y ), ! m1_fraenkel( Z, X, Y ), ! m2_fraenkel( T, X, Y, Z ),
% 0.79/1.22 m2_relset_1( T, X, Y ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), ! m2_cat_1( T, X, Y ), ! m2_nattra_1( U, X, Y, Z, T
% 0.79/1.22 ), m1_nattra_1( U, X, Y, Z, T ) }.
% 0.79/1.22 { ! m2_relset_1( Z, X, Y ), m1_subset_1( Z, k1_zfmisc_1( k2_zfmisc_1( X, Y
% 0.79/1.22 ) ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m4_nattra_1( Z, X, Y ), ! v1_xboole_0( Z ) }.
% 0.79/1.22 { ! l1_cat_1( X ), ! v1_xboole_0( u1_cat_1( X ) ) }.
% 0.79/1.22 { ! l1_cat_1( X ), ! v1_xboole_0( u2_cat_1( X ) ) }.
% 0.79/1.22 { ! l1_cat_1( X ), v1_funct_1( u3_cat_1( X ) ) }.
% 0.79/1.22 { ! l1_cat_1( X ), v1_funct_2( u3_cat_1( X ), u2_cat_1( X ), u1_cat_1( X )
% 0.79/1.22 ) }.
% 0.79/1.22 { ! l1_cat_1( X ), m2_relset_1( u3_cat_1( X ), u2_cat_1( X ), u1_cat_1( X )
% 0.79/1.22 ) }.
% 0.79/1.22 { ! l1_cat_1( X ), v1_funct_1( u4_cat_1( X ) ) }.
% 0.79/1.22 { ! l1_cat_1( X ), v1_funct_2( u4_cat_1( X ), u2_cat_1( X ), u1_cat_1( X )
% 0.79/1.22 ) }.
% 0.79/1.22 { ! l1_cat_1( X ), m2_relset_1( u4_cat_1( X ), u2_cat_1( X ), u1_cat_1( X )
% 0.79/1.22 ) }.
% 0.79/1.22 { ! l1_cat_1( X ), v1_funct_1( u5_cat_1( X ) ) }.
% 0.79/1.22 { ! l1_cat_1( X ), m2_relset_1( u5_cat_1( X ), k2_zfmisc_1( u2_cat_1( X ),
% 0.79/1.22 u2_cat_1( X ) ), u2_cat_1( X ) ) }.
% 0.79/1.22 { ! l1_cat_1( X ), v1_funct_1( u6_cat_1( X ) ) }.
% 0.79/1.22 { ! l1_cat_1( X ), v1_funct_2( u6_cat_1( X ), u1_cat_1( X ), u2_cat_1( X )
% 0.79/1.22 ) }.
% 0.79/1.22 { ! l1_cat_1( X ), m2_relset_1( u6_cat_1( X ), u1_cat_1( X ), u2_cat_1( X )
% 0.79/1.22 ) }.
% 0.79/1.22 { l1_cat_1( skol16 ) }.
% 0.79/1.22 { ! l1_cat_1( X ), ! m1_subset_1( Y, u1_cat_1( X ) ), ! m1_subset_1( Z,
% 0.79/1.22 u1_cat_1( X ) ), m1_cat_1( skol17( X, Y, Z ), X, Y, Z ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ),
% 0.79/1.22 m1_cat_2( skol18( X, Y ), X, Y ) }.
% 0.79/1.22 { m1_fraenkel( skol19( X, Y ), X, Y ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), ! m2_cat_1( T, X, Y ), m1_nattra_1( skol20( X, Y, Z
% 0.79/1.22 , T ), X, Y, Z, T ) }.
% 0.79/1.22 { m1_relset_1( skol21( X, Y ), X, Y ) }.
% 0.79/1.22 { m1_subset_1( skol22( X ), X ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ),
% 0.79/1.22 m2_cat_1( skol23( X, Y ), X, Y ) }.
% 0.79/1.22 { v1_xboole_0( Y ), ! m1_fraenkel( Z, X, Y ), m2_fraenkel( skol24( X, Y, Z
% 0.79/1.22 ), X, Y, Z ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), ! m2_cat_1( T, X, Y ), m2_nattra_1( skol25( X, Y, Z
% 0.79/1.22 , T ), X, Y, Z, T ) }.
% 0.79/1.22 { m2_relset_1( skol26( X, Y ), X, Y ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ),
% 0.79/1.22 m4_nattra_1( skol27( X, Y ), X, Y ) }.
% 0.79/1.22 { ! v1_xboole_0( k1_zfmisc_1( X ) ) }.
% 0.79/1.22 { v1_xboole_0( k1_xboole_0 ) }.
% 0.79/1.22 { ! v1_xboole_0( k1_tarski( X ) ) }.
% 0.79/1.22 { ! v1_xboole_0( k2_tarski( X, Y ) ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), ! v1_xboole_0( k2_zfmisc_1( X, Y ) )
% 0.79/1.22 }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), ! v1_funct_1( Z ), ! v1_funct_2( Z, Y
% 0.79/1.22 , X ), ! m1_relset_1( Z, Y, X ), ! v1_funct_1( T ), ! v1_funct_2( T, Y, X
% 0.79/1.22 ), ! m1_relset_1( T, Y, X ), ! v1_funct_1( U ), ! m1_relset_1( U,
% 0.79/1.22 k2_zfmisc_1( Y, Y ), Y ), ! v1_funct_1( W ), ! v1_funct_2( W, X, Y ), !
% 0.79/1.22 m1_relset_1( W, X, Y ), ! g1_cat_1( X, Y, Z, T, U, W ) = g1_cat_1( V0, V1
% 0.79/1.22 , V2, V3, V4, V5 ), alpha31( X, Y, Z, T, V0, V1, V2, V3 ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), ! v1_funct_1( Z ), ! v1_funct_2( Z, Y
% 0.79/1.22 , X ), ! m1_relset_1( Z, Y, X ), ! v1_funct_1( T ), ! v1_funct_2( T, Y, X
% 0.79/1.22 ), ! m1_relset_1( T, Y, X ), ! v1_funct_1( U ), ! m1_relset_1( U,
% 0.79/1.22 k2_zfmisc_1( Y, Y ), Y ), ! v1_funct_1( W ), ! v1_funct_2( W, X, Y ), !
% 0.79/1.22 m1_relset_1( W, X, Y ), ! g1_cat_1( X, Y, Z, T, U, W ) = g1_cat_1( V0, V1
% 0.79/1.22 , V2, V3, V4, V5 ), U = V4 }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), ! v1_funct_1( Z ), ! v1_funct_2( Z, Y
% 0.79/1.22 , X ), ! m1_relset_1( Z, Y, X ), ! v1_funct_1( T ), ! v1_funct_2( T, Y, X
% 0.79/1.22 ), ! m1_relset_1( T, Y, X ), ! v1_funct_1( U ), ! m1_relset_1( U,
% 0.79/1.22 k2_zfmisc_1( Y, Y ), Y ), ! v1_funct_1( W ), ! v1_funct_2( W, X, Y ), !
% 0.79/1.22 m1_relset_1( W, X, Y ), ! g1_cat_1( X, Y, Z, T, U, W ) = g1_cat_1( V0, V1
% 0.79/1.22 , V2, V3, V4, V5 ), W = V5 }.
% 0.79/1.22 { ! alpha31( X, Y, Z, T, U, W, V0, V1 ), alpha29( X, Y, Z, U, W, V0 ) }.
% 0.79/1.22 { ! alpha31( X, Y, Z, T, U, W, V0, V1 ), T = V1 }.
% 0.79/1.22 { ! alpha29( X, Y, Z, U, W, V0 ), ! T = V1, alpha31( X, Y, Z, T, U, W, V0,
% 0.79/1.22 V1 ) }.
% 0.79/1.22 { ! alpha29( X, Y, Z, T, U, W ), alpha27( X, Y, T, U ) }.
% 0.79/1.22 { ! alpha29( X, Y, Z, T, U, W ), Z = W }.
% 0.79/1.22 { ! alpha27( X, Y, T, U ), ! Z = W, alpha29( X, Y, Z, T, U, W ) }.
% 0.79/1.22 { ! alpha27( X, Y, Z, T ), X = Z }.
% 0.79/1.22 { ! alpha27( X, Y, Z, T ), Y = T }.
% 0.79/1.22 { ! X = Z, ! Y = T, alpha27( X, Y, Z, T ) }.
% 0.79/1.22 { v1_xboole_0( X ), ! v1_xboole_0( skol28( Y ) ) }.
% 0.79/1.22 { v1_xboole_0( X ), m1_subset_1( skol28( X ), k1_zfmisc_1( X ) ) }.
% 0.79/1.22 { v1_xboole_0( skol29 ) }.
% 0.79/1.22 { v1_xboole_0( skol30( Y ) ) }.
% 0.79/1.22 { m1_subset_1( skol30( X ), k1_zfmisc_1( X ) ) }.
% 0.79/1.22 { ! v1_xboole_0( skol31 ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! m1_subset_1( Y, u1_cat_1( X ) ),
% 0.79/1.22 k10_cat_1( X, Y ) = k5_cat_1( X, Y ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), ! v1_funct_1( Z ), ! m1_relset_1( Z,
% 0.79/1.22 k2_zfmisc_1( X, X ), X ), ! v1_funct_1( T ), ! m1_relset_1( T,
% 0.79/1.22 k2_zfmisc_1( Y, Y ), Y ), k10_cat_2( X, Y, Z, T ) = k3_funct_4( Z, T ) }
% 0.79/1.22 .
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m1_subset_1( Z, u1_cat_1( X ) ), ! m1_subset_1( T, u1_cat_1( Y ) ),
% 0.79/1.22 k12_cat_2( X, Y, Z, T ) = k4_tarski( Z, T ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m1_subset_1( Z, u2_cat_1( X ) ), ! m1_subset_1( T, u2_cat_1( Y ) ),
% 0.79/1.22 k13_cat_2( X, Y, Z, T ) = k4_tarski( Z, T ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Z ), ! m1_fraenkel( T, Y, Z ), !
% 0.79/1.22 v1_funct_1( U ), ! v1_funct_2( U, X, T ), ! m1_relset_1( U, X, T ), !
% 0.79/1.22 m1_subset_1( W, X ), k1_cat_2( X, Y, Z, T, U, W ) = k1_funct_1( U, W ) }
% 0.79/1.22 .
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), ! m1_subset_1( Z, X ), ! m1_subset_1
% 0.79/1.22 ( T, Y ), k1_domain_1( X, Y, Z, T ) = k4_tarski( Z, T ) }.
% 0.79/1.22 { v1_xboole_0( X ), k1_fraenkel( Y, X ) = k1_funct_2( Y, X ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), v1_xboole_0( Z ), ! v1_funct_1( T ),
% 0.79/1.22 ! v1_funct_2( T, k2_zfmisc_1( X, Y ), Z ), ! m1_relset_1( T, k2_zfmisc_1
% 0.79/1.22 ( X, Y ), Z ), k2_cat_2( X, Y, Z, T ) = k3_funct_5( T ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ),
% 0.79/1.22 k7_cat_2( X, Y ) = k5_cat_2( X, Y ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), k7_nattra_1( X, Y, Z ) = k4_nattra_1( X, Y, Z ) }.
% 0.79/1.22 { v1_xboole_0( X ), ! v1_funct_1( Z ), ! v1_funct_2( Z, X, Y ), !
% 0.79/1.22 m1_relset_1( Z, X, Y ), ! m1_subset_1( T, X ), k8_funct_2( X, Y, Z, T ) =
% 0.79/1.22 k1_funct_1( Z, T ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), v1_xboole_0( Z ), v1_xboole_0( T ), !
% 0.79/1.22 v1_funct_1( U ), ! v1_funct_2( U, X, Z ), ! m1_relset_1( U, X, Z ), !
% 0.79/1.22 v1_funct_1( W ), ! v1_funct_2( W, Y, T ), ! m1_relset_1( W, Y, T ),
% 0.79/1.22 k9_cat_2( X, Y, Z, T, U, W ) = k15_funct_3( U, W ) }.
% 0.79/1.22 { v1_xboole_0( Y ), ! m1_fraenkel( Z, X, Y ), ! m2_fraenkel( T, X, Y, Z ),
% 0.79/1.22 m1_subset_1( T, Z ) }.
% 0.79/1.22 { v1_xboole_0( Y ), ! m1_fraenkel( Z, X, Y ), ! m1_subset_1( T, Z ),
% 0.79/1.22 m2_fraenkel( T, X, Y, Z ) }.
% 0.79/1.22 { ! m2_relset_1( Z, X, Y ), m1_relset_1( Z, X, Y ) }.
% 0.79/1.22 { ! m1_relset_1( Z, X, Y ), m2_relset_1( Z, X, Y ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), v1_xboole_0( Z ), v1_xboole_0( T ), !
% 0.79/1.22 v1_funct_1( U ), ! v1_funct_2( U, X, Y ), ! m1_relset_1( U, X, Y ), !
% 0.79/1.22 v1_funct_1( W ), ! v1_funct_2( W, Z, T ), ! m1_relset_1( W, Z, T ), !
% 0.79/1.22 r4_nattra_1( X, Y, Z, T, U, W ), U = W }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), v1_xboole_0( Z ), v1_xboole_0( T ), !
% 0.79/1.22 v1_funct_1( U ), ! v1_funct_2( U, X, Y ), ! m1_relset_1( U, X, Y ), !
% 0.79/1.22 v1_funct_1( W ), ! v1_funct_2( W, Z, T ), ! m1_relset_1( W, Z, T ), ! U =
% 0.79/1.22 W, r4_nattra_1( X, Y, Z, T, U, W ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), ! m2_cat_1( T, X, Y ), r1_nattra_1( X, Y, Z, Z ) }.
% 0.79/1.22 { r1_tarski( X, X ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), ! m2_cat_1( T, X, Y ), r2_nattra_1( X, Y, Z, Z ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), v1_xboole_0( Z ), v1_xboole_0( T ), !
% 0.79/1.22 v1_funct_1( U ), ! v1_funct_2( U, X, Y ), ! m1_relset_1( U, X, Y ), !
% 0.79/1.22 v1_funct_1( W ), ! v1_funct_2( W, Z, T ), ! m1_relset_1( W, Z, T ),
% 0.79/1.22 r4_nattra_1( X, Y, Z, T, U, U ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), v1_xboole_0( Z ), v1_xboole_0( T ), !
% 0.79/1.22 v1_funct_1( U ), ! v1_funct_2( U, X, Y ), ! m1_relset_1( U, X, Y ), !
% 0.79/1.22 v1_funct_1( W ), ! v1_funct_2( W, Z, T ), ! m1_relset_1( W, Z, T ), !
% 0.79/1.22 r4_nattra_1( X, Y, Z, T, U, W ), r4_nattra_1( X, Y, Z, T, W, U ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), ! m1_subset_1( T, u1_cat_1( X ) ), k8_funct_2(
% 0.79/1.22 u2_cat_1( X ), u2_cat_1( Y ), Z, k10_cat_1( X, T ) ) = k10_cat_1( Y,
% 0.79/1.22 k13_cat_1( X, Y, Z, T ) ) }.
% 0.79/1.22 { ! v1_funct_1( Z ), ! v1_funct_2( Z, X, Y ), ! m2_relset_1( Z, X, Y ), !
% 0.79/1.22 v1_funct_1( T ), ! v1_funct_2( T, X, Y ), ! m2_relset_1( T, X, Y ),
% 0.79/1.22 m1_subset_1( skol32( X, U, W ), X ), Z = T }.
% 0.79/1.22 { ! v1_funct_1( Z ), ! v1_funct_2( Z, X, Y ), ! m2_relset_1( Z, X, Y ), !
% 0.79/1.22 v1_funct_1( T ), ! v1_funct_2( T, X, Y ), ! m2_relset_1( T, X, Y ), !
% 0.79/1.22 k1_funct_1( Z, skol32( X, Z, T ) ) = k1_funct_1( T, skol32( X, Z, T ) ),
% 0.79/1.22 Z = T }.
% 0.79/1.22 { ! r2_hidden( X, Y ), m1_subset_1( X, Y ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, Y, X ), ! m2_cat_1( T, Y, X ), ! r1_nattra_1( Y, X, Z, T ),
% 0.79/1.22 ! m1_nattra_1( U, Y, X, Z, T ), ! m1_nattra_1( W, Y, X, Z, T ),
% 0.79/1.22 m1_subset_1( skol33( V0, Y, V1, V2, V3, V4 ), u1_cat_1( Y ) ), U = W }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, Y, X ), ! m2_cat_1( T, Y, X ), ! r1_nattra_1( Y, X, Z, T ),
% 0.79/1.22 ! m1_nattra_1( U, Y, X, Z, T ), ! m1_nattra_1( W, Y, X, Z, T ), !
% 0.79/1.22 k5_nattra_1( Y, X, Z, T, U, skol33( X, Y, Z, T, U, W ) ) = k5_nattra_1( Y
% 0.79/1.22 , X, Z, T, W, skol33( X, Y, Z, T, U, W ) ), U = W }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, Y, X ), ! m1_subset_1( T, u1_cat_1( Y ) ), k5_nattra_1( Y, X
% 0.79/1.22 , Z, Z, k4_nattra_1( Y, X, Z ), T ) = k10_cat_1( X, k13_cat_1( Y, X, Z, T
% 0.79/1.22 ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 v2_cat_1( Z ), ! l1_cat_1( Z ), ! m2_cat_1( T, k11_cat_2( X, Y ), Z ), !
% 0.79/1.22 m1_subset_1( U, u1_cat_1( X ) ), k13_cat_1( X, k12_nattra_1( Y, Z ),
% 0.79/1.22 k5_isocat_2( X, Y, Z, T ), U ) = k14_cat_2( X, Y, Z, T, U ) }.
% 0.79/1.22 { ! m1_subset_1( X, Y ), v1_xboole_0( Y ), r2_hidden( X, Y ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ),
% 0.79/1.22 alpha28( X, Y ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ),
% 0.79/1.22 u6_cat_1( k11_cat_2( X, Y ) ) = k9_cat_2( u1_cat_1( X ), u1_cat_1( Y ),
% 0.79/1.22 u2_cat_1( X ), u2_cat_1( Y ), u6_cat_1( X ), u6_cat_1( Y ) ) }.
% 0.79/1.22 { ! alpha28( X, Y ), alpha30( X, Y ) }.
% 0.79/1.22 { ! alpha28( X, Y ), u5_cat_1( k11_cat_2( X, Y ) ) = k10_cat_2( u2_cat_1( X
% 0.79/1.22 ), u2_cat_1( Y ), u5_cat_1( X ), u5_cat_1( Y ) ) }.
% 0.79/1.22 { ! alpha30( X, Y ), ! u5_cat_1( k11_cat_2( X, Y ) ) = k10_cat_2( u2_cat_1
% 0.79/1.22 ( X ), u2_cat_1( Y ), u5_cat_1( X ), u5_cat_1( Y ) ), alpha28( X, Y ) }.
% 0.79/1.22 { ! alpha30( X, Y ), alpha32( X, Y ) }.
% 0.79/1.22 { ! alpha30( X, Y ), u4_cat_1( k11_cat_2( X, Y ) ) = k9_cat_2( u2_cat_1( X
% 0.79/1.22 ), u2_cat_1( Y ), u1_cat_1( X ), u1_cat_1( Y ), u4_cat_1( X ), u4_cat_1
% 0.79/1.22 ( Y ) ) }.
% 0.79/1.22 { ! alpha32( X, Y ), ! u4_cat_1( k11_cat_2( X, Y ) ) = k9_cat_2( u2_cat_1(
% 0.79/1.22 X ), u2_cat_1( Y ), u1_cat_1( X ), u1_cat_1( Y ), u4_cat_1( X ), u4_cat_1
% 0.79/1.22 ( Y ) ), alpha30( X, Y ) }.
% 0.79/1.22 { ! alpha32( X, Y ), u1_cat_1( k11_cat_2( X, Y ) ) = k2_zfmisc_1( u1_cat_1
% 0.79/1.22 ( X ), u1_cat_1( Y ) ) }.
% 0.79/1.22 { ! alpha32( X, Y ), u2_cat_1( k11_cat_2( X, Y ) ) = k2_zfmisc_1( u2_cat_1
% 0.79/1.22 ( X ), u2_cat_1( Y ) ) }.
% 0.79/1.22 { ! alpha32( X, Y ), u3_cat_1( k11_cat_2( X, Y ) ) = k9_cat_2( u2_cat_1( X
% 0.79/1.22 ), u2_cat_1( Y ), u1_cat_1( X ), u1_cat_1( Y ), u3_cat_1( X ), u3_cat_1
% 0.79/1.22 ( Y ) ) }.
% 0.79/1.22 { ! u1_cat_1( k11_cat_2( X, Y ) ) = k2_zfmisc_1( u1_cat_1( X ), u1_cat_1( Y
% 0.79/1.22 ) ), ! u2_cat_1( k11_cat_2( X, Y ) ) = k2_zfmisc_1( u2_cat_1( X ),
% 0.79/1.22 u2_cat_1( Y ) ), ! u3_cat_1( k11_cat_2( X, Y ) ) = k9_cat_2( u2_cat_1( X
% 0.79/1.22 ), u2_cat_1( Y ), u1_cat_1( X ), u1_cat_1( Y ), u3_cat_1( X ), u3_cat_1
% 0.79/1.22 ( Y ) ), alpha32( X, Y ) }.
% 0.79/1.22 { v1_xboole_0( X ), v1_xboole_0( Y ), v1_xboole_0( Z ), ! m1_subset_1( T, X
% 0.79/1.22 ), ! m1_subset_1( U, Y ), ! v1_funct_1( W ), ! v1_funct_2( W,
% 0.79/1.22 k2_zfmisc_1( X, Y ), Z ), ! m2_relset_1( W, k2_zfmisc_1( X, Y ), Z ),
% 0.79/1.22 k8_funct_2( k2_zfmisc_1( X, Y ), Z, W, k1_domain_1( X, Y, T, U ) ) =
% 0.79/1.22 k8_funct_2( Y, Z, k1_cat_2( X, Y, Z, k1_fraenkel( Y, Z ), k2_cat_2( X, Y
% 0.79/1.22 , Z, W ), T ), U ) }.
% 0.79/1.22 { ! m1_subset_1( X, k1_zfmisc_1( Y ) ), r1_tarski( X, Y ) }.
% 0.79/1.22 { ! r1_tarski( X, Y ), m1_subset_1( X, k1_zfmisc_1( Y ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m1_subset_1( Z, u1_cat_1( X ) ), ! m1_subset_1( T, u1_cat_1( Y ) ),
% 0.79/1.22 k10_cat_1( k11_cat_2( X, Y ), k12_cat_2( X, Y, Z, T ) ) = k13_cat_2( X, Y
% 0.79/1.22 , k10_cat_1( X, Z ), k10_cat_1( Y, T ) ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 v2_cat_1( Z ), ! l1_cat_1( Z ), ! m2_cat_1( T, k11_cat_2( X, Y ), Z ), !
% 0.79/1.22 m1_subset_1( U, u1_cat_1( X ) ), ! m1_subset_1( W, u2_cat_1( Y ) ),
% 0.79/1.22 k8_funct_2( u2_cat_1( Y ), u2_cat_1( Z ), k14_cat_2( X, Y, Z, T, U ), W )
% 0.79/1.22 = k8_funct_2( u2_cat_1( k11_cat_2( X, Y ) ), u2_cat_1( Z ), T, k13_cat_2
% 0.79/1.22 ( X, Y, k10_cat_1( X, U ), W ) ) }.
% 0.79/1.22 { ! r2_hidden( X, Z ), ! m1_subset_1( Z, k1_zfmisc_1( Y ) ), m1_subset_1( X
% 0.79/1.22 , Y ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! m1_subset_1( Y, u1_cat_1( X ) ), !
% 0.79/1.22 k6_cat_1( X, Y, Y ) = k1_xboole_0 }.
% 0.79/1.22 { ! r2_hidden( X, Y ), ! m1_subset_1( Y, k1_zfmisc_1( Z ) ), ! v1_xboole_0
% 0.79/1.22 ( Z ) }.
% 0.79/1.22 { ! v1_xboole_0( X ), X = k1_xboole_0 }.
% 0.79/1.22 { ! r2_hidden( X, Y ), ! v1_xboole_0( Y ) }.
% 0.79/1.22 { ! v1_xboole_0( X ), X = Y, ! v1_xboole_0( Y ) }.
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m1_subset_1( Z, u1_cat_1( k12_nattra_1( X, Y ) ) ), m2_cat_1( Z, X, Y ) }
% 0.79/1.22 .
% 0.79/1.22 { ! v2_cat_1( X ), ! l1_cat_1( X ), ! v2_cat_1( Y ), ! l1_cat_1( Y ), !
% 0.79/1.22 m2_cat_1( Z, X, Y ), m1_subset_1( Z, u1_cat_1( k12_nattra_1( X, Y ) ) ) }
% 0.79/1.22 .
% 0.79/1.22
% 0.79/1.22 *** allocated 15000 integers for clauses
% 0.79/1.22 *** allocated 22500 integers for clauses
% 0.79/1.22 percentage equality = 0.078237, percentage horn = 0.765152
% 0.79/1.22 This is a problem with some equality
% 0.79/1.22
% 0.79/1.22
% 0.79/1.22
% 0.79/1.22 Options Used:
% 0.79/1.22
% 0.79/1.22 useres = 1
% 0.79/1.22 useparamod = 1
% 0.79/1.22 useeqrefl = 1
% 0.79/1.22 useeqfact = 1
% 0.79/1.22 usefactor = 1
% 0.79/1.22 usesimpsplitting = 0
% 0.79/1.22 usesimpdemod = 5
% 0.79/1.22 usesimpres = 3
% 0.79/1.22
% 0.79/1.22 resimpinuse = 1000
% 0.79/1.22 resimpclauses = 20000
% 0.79/1.22 substype = eqrewr
% 0.79/1.22 backwardsubs = 1
% 0.79/1.22 selectoldest = 5
% 0.79/1.22
% 0.79/1.22 litorderings [0] = split
% 0.79/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 0.79/1.22
% 0.79/1.22 termordering = kbo
% 0.79/1.22
% 0.79/1.22 litapriori = 0
% 0.79/1.22 termapriori = 1
% 0.79/1.22 litaposteriori = 0
% 0.79/1.22 termaposteriori = 0
% 0.79/1.22 demodaposteriori = 0
% 0.79/1.22 ordereqreflfact = 0
% 0.79/1.22
% 0.79/1.22 litselect = negord
% 0.79/1.22
% 0.79/1.22 maxweight = 15
% 0.79/1.22 maxdepth = 30000
% 0.79/1.22 maxlength = 115
% 0.79/1.22 maxnrvars = 195
% 0.79/1.22 excuselevel = 1
% 0.79/1.22 increasemaxweight = 1
% 0.79/1.22
% 0.79/1.22 maxselected = 10000000
% 0.79/1.22 maxnrclauses = 10000000
% 0.79/1.22
% 0.79/1.22 showgenerated = 0
% 0.79/1.22 showkept = 0
% 0.79/1.22 showselected = 0
% 0.79/1.22 showdeleted = 0
% 0.79/1.22 showresimp = 1
% 0.79/1.22 showstatus = 2000
% 0.79/1.22
% 0.79/1.22 prologoutput = 0
% 0.79/1.22 nrgoals = 5000000
% 0.79/1.29 totalproof = 1
% 0.79/1.29
% 0.79/1.29 Symbols occurring in the translation:
% 0.79/1.29
% 0.79/1.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.79/1.29 . [1, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.79/1.29 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.79/1.29 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 0.79/1.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.29 v2_cat_1 [36, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.79/1.29 l1_cat_1 [37, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.79/1.29 k11_cat_2 [41, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.79/1.29 m2_cat_1 [42, 3] (w:1, o:116, a:1, s:1, b:0),
% 0.79/1.29 u1_cat_1 [43, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.79/1.29 k12_nattra_1 [44, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.79/1.29 u2_cat_1 [45, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.79/1.29 k5_isocat_2 [46, 4] (w:1, o:135, a:1, s:1, b:0),
% 0.79/1.29 k7_nattra_1 [47, 3] (w:1, o:118, a:1, s:1, b:0),
% 0.79/1.29 k6_isocat_2 [48, 6] (w:1, o:164, a:1, s:1, b:0),
% 0.79/1.29 r4_nattra_1 [49, 6] (w:1, o:165, a:1, s:1, b:0),
% 0.79/1.29 v1_cat_1 [50, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.79/1.29 u3_cat_1 [51, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.79/1.29 u4_cat_1 [52, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.79/1.29 u5_cat_1 [53, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.79/1.29 u6_cat_1 [54, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.79/1.29 g1_cat_1 [55, 6] (w:1, o:166, a:1, s:1, b:0),
% 0.79/1.29 r2_hidden [56, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.79/1.29 k2_zfmisc_1 [57, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.79/1.29 k1_zfmisc_1 [58, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.79/1.29 m1_subset_1 [59, 2] (w:1, o:92, a:1, s:1, b:0),
% 0.79/1.29 v1_relat_1 [60, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.79/1.29 k2_tarski [61, 2] (w:1, o:93, a:1, s:1, b:0),
% 0.79/1.29 k7_cat_2 [62, 2] (w:1, o:94, a:1, s:1, b:0),
% 0.79/1.29 k11_nattra_1 [63, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.79/1.29 k2_cat_1 [64, 2] (w:1, o:95, a:1, s:1, b:0),
% 0.79/1.29 k1_mcart_1 [65, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.79/1.29 k3_cat_1 [66, 2] (w:1, o:96, a:1, s:1, b:0),
% 0.79/1.29 k2_mcart_1 [67, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.79/1.29 k13_cat_2 [69, 4] (w:1, o:138, a:1, s:1, b:0),
% 0.79/1.29 k1_relat_1 [70, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.79/1.29 m2_nattra_1 [75, 5] (w:1, o:157, a:1, s:1, b:0),
% 0.79/1.29 k4_tarski [77, 2] (w:1, o:98, a:1, s:1, b:0),
% 0.79/1.29 k1_funct_1 [78, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.79/1.29 k8_nattra_1 [79, 7] (w:1, o:174, a:1, s:1, b:0),
% 0.79/1.29 k10_cat_1 [80, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.79/1.29 k6_cat_1 [81, 3] (w:1, o:117, a:1, s:1, b:0),
% 0.79/1.29 k1_xboole_0 [82, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.79/1.29 m1_cat_1 [83, 4] (w:1, o:139, a:1, s:1, b:0),
% 0.79/1.29 k3_nattra_1 [84, 6] (w:1, o:167, a:1, s:1, b:0),
% 0.79/1.29 k8_funct_2 [85, 4] (w:1, o:140, a:1, s:1, b:0),
% 0.79/1.29 r2_nattra_1 [86, 4] (w:1, o:142, a:1, s:1, b:0),
% 0.79/1.29 v1_funct_1 [87, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.79/1.29 v1_funct_2 [88, 3] (w:1, o:119, a:1, s:1, b:0),
% 0.79/1.29 m2_relset_1 [89, 3] (w:1, o:120, a:1, s:1, b:0),
% 0.79/1.29 k5_nattra_1 [90, 6] (w:1, o:163, a:1, s:1, b:0),
% 0.79/1.29 k13_cat_1 [91, 4] (w:1, o:137, a:1, s:1, b:0),
% 0.79/1.29 k12_cat_2 [92, 4] (w:1, o:136, a:1, s:1, b:0),
% 0.79/1.29 k1_fraenkel [93, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.79/1.29 k2_cat_2 [94, 4] (w:1, o:145, a:1, s:1, b:0),
% 0.79/1.29 k1_cat_2 [95, 6] (w:1, o:168, a:1, s:1, b:0),
% 0.79/1.29 r1_nattra_1 [96, 4] (w:1, o:141, a:1, s:1, b:0),
% 0.79/1.29 m1_nattra_1 [97, 5] (w:1, o:156, a:1, s:1, b:0),
% 0.79/1.29 k1_tarski [98, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.79/1.29 v1_xboole_0 [99, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.79/1.29 m1_relset_1 [100, 3] (w:1, o:113, a:1, s:1, b:0),
% 0.79/1.29 k10_cat_2 [101, 4] (w:1, o:143, a:1, s:1, b:0),
% 0.79/1.29 m4_nattra_1 [102, 3] (w:1, o:121, a:1, s:1, b:0),
% 0.79/1.29 k14_cat_2 [103, 5] (w:1, o:158, a:1, s:1, b:0),
% 0.79/1.29 k15_funct_3 [104, 2] (w:1, o:89, a:1, s:1, b:0),
% 0.79/1.29 m1_fraenkel [105, 3] (w:1, o:114, a:1, s:1, b:0),
% 0.79/1.29 m2_fraenkel [106, 4] (w:1, o:146, a:1, s:1, b:0),
% 0.79/1.29 k1_domain_1 [107, 4] (w:1, o:144, a:1, s:1, b:0),
% 0.79/1.29 k3_funct_4 [108, 2] (w:1, o:97, a:1, s:1, b:0),
% 0.79/1.29 k3_funct_5 [109, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.79/1.29 k4_nattra_1 [110, 3] (w:1, o:122, a:1, s:1, b:0),
% 0.79/1.29 k5_cat_1 [111, 2] (w:1, o:99, a:1, s:1, b:0),
% 0.79/1.29 m1_cat_2 [112, 3] (w:1, o:115, a:1, s:1, b:0),
% 0.79/1.29 k9_cat_2 [113, 6] (w:1, o:169, a:1, s:1, b:0),
% 46.01/46.45 v1_fraenkel [114, 1] (w:1, o:41, a:1, s:1, b:0),
% 46.01/46.45 k1_funct_2 [117, 2] (w:1, o:90, a:1, s:1, b:0),
% 46.01/46.45 k5_cat_2 [118, 2] (w:1, o:100, a:1, s:1, b:0),
% 46.01/46.45 r1_tarski [119, 2] (w:1, o:85, a:1, s:1, b:0),
% 46.01/46.45 alpha1 [120, 1] (w:1, o:50, a:1, s:1, b:1),
% 46.01/46.45 alpha2 [121, 4] (w:1, o:149, a:1, s:1, b:1),
% 46.01/46.45 alpha3 [122, 1] (w:1, o:51, a:1, s:1, b:1),
% 46.01/46.45 alpha4 [123, 2] (w:1, o:103, a:1, s:1, b:1),
% 46.01/46.45 alpha5 [124, 7] (w:1, o:175, a:1, s:1, b:1),
% 46.01/46.45 alpha6 [125, 4] (w:1, o:150, a:1, s:1, b:1),
% 46.01/46.45 alpha7 [126, 3] (w:1, o:123, a:1, s:1, b:1),
% 46.01/46.45 alpha8 [127, 2] (w:1, o:104, a:1, s:1, b:1),
% 46.01/46.45 alpha9 [128, 8] (w:1, o:180, a:1, s:1, b:1),
% 46.01/46.45 alpha10 [129, 3] (w:1, o:124, a:1, s:1, b:1),
% 46.01/46.45 alpha11 [130, 3] (w:1, o:125, a:1, s:1, b:1),
% 46.01/46.45 alpha12 [131, 3] (w:1, o:126, a:1, s:1, b:1),
% 46.01/46.45 alpha13 [132, 3] (w:1, o:127, a:1, s:1, b:1),
% 46.01/46.45 alpha14 [133, 3] (w:1, o:128, a:1, s:1, b:1),
% 46.01/46.45 alpha15 [134, 3] (w:1, o:129, a:1, s:1, b:1),
% 46.01/46.45 alpha16 [135, 4] (w:1, o:147, a:1, s:1, b:1),
% 46.01/46.45 alpha17 [136, 4] (w:1, o:148, a:1, s:1, b:1),
% 46.01/46.45 alpha18 [137, 5] (w:1, o:159, a:1, s:1, b:1),
% 46.01/46.45 alpha19 [138, 5] (w:1, o:160, a:1, s:1, b:1),
% 46.01/46.45 alpha20 [139, 5] (w:1, o:161, a:1, s:1, b:1),
% 46.01/46.45 alpha21 [140, 6] (w:1, o:170, a:1, s:1, b:1),
% 46.01/46.45 alpha22 [141, 7] (w:1, o:176, a:1, s:1, b:1),
% 46.01/46.45 alpha23 [142, 8] (w:1, o:181, a:1, s:1, b:1),
% 46.01/46.45 alpha24 [143, 9] (w:1, o:184, a:1, s:1, b:1),
% 46.01/46.45 alpha25 [144, 10] (w:1, o:186, a:1, s:1, b:1),
% 46.01/46.45 alpha26 [145, 10] (w:1, o:187, a:1, s:1, b:1),
% 46.01/46.45 alpha27 [146, 4] (w:1, o:151, a:1, s:1, b:1),
% 46.01/46.45 alpha28 [147, 2] (w:1, o:105, a:1, s:1, b:1),
% 46.01/46.45 alpha29 [148, 6] (w:1, o:171, a:1, s:1, b:1),
% 46.01/46.45 alpha30 [149, 2] (w:1, o:101, a:1, s:1, b:1),
% 46.01/46.45 alpha31 [150, 8] (w:1, o:182, a:1, s:1, b:1),
% 46.01/46.45 alpha32 [151, 2] (w:1, o:102, a:1, s:1, b:1),
% 46.01/46.45 skol1 [152, 0] (w:1, o:19, a:1, s:1, b:1),
% 46.01/46.45 skol2 [153, 3] (w:1, o:131, a:1, s:1, b:1),
% 46.01/46.45 skol3 [154, 4] (w:1, o:154, a:1, s:1, b:1),
% 46.01/46.45 skol4 [155, 3] (w:1, o:133, a:1, s:1, b:1),
% 46.01/46.45 skol5 [156, 4] (w:1, o:155, a:1, s:1, b:1),
% 46.01/46.45 skol6 [157, 5] (w:1, o:162, a:1, s:1, b:1),
% 46.01/46.45 skol7 [158, 6] (w:1, o:172, a:1, s:1, b:1),
% 46.01/46.45 skol8 [159, 7] (w:1, o:177, a:1, s:1, b:1),
% 46.01/46.45 skol9 [160, 8] (w:1, o:183, a:1, s:1, b:1),
% 46.01/46.45 skol10 [161, 9] (w:1, o:185, a:1, s:1, b:1),
% 46.01/46.45 skol11 [162, 1] (w:1, o:52, a:1, s:1, b:1),
% 46.01/46.45 skol12 [163, 2] (w:1, o:106, a:1, s:1, b:1),
% 46.01/46.45 skol13 [164, 1] (w:1, o:53, a:1, s:1, b:1),
% 46.01/46.45 skol14 [165, 7] (w:1, o:178, a:1, s:1, b:1),
% 46.01/46.45 skol15 [166, 7] (w:1, o:179, a:1, s:1, b:1),
% 46.01/46.45 skol16 [167, 0] (w:1, o:20, a:1, s:1, b:1),
% 46.01/46.45 skol17 [168, 3] (w:1, o:130, a:1, s:1, b:1),
% 46.01/46.45 skol18 [169, 2] (w:1, o:107, a:1, s:1, b:1),
% 46.01/46.45 skol19 [170, 2] (w:1, o:108, a:1, s:1, b:1),
% 46.01/46.45 skol20 [171, 4] (w:1, o:152, a:1, s:1, b:1),
% 46.01/46.45 skol21 [172, 2] (w:1, o:109, a:1, s:1, b:1),
% 46.01/46.45 skol22 [173, 1] (w:1, o:54, a:1, s:1, b:1),
% 46.01/46.45 skol23 [174, 2] (w:1, o:110, a:1, s:1, b:1),
% 46.01/46.45 skol24 [175, 3] (w:1, o:134, a:1, s:1, b:1),
% 46.01/46.45 skol25 [176, 4] (w:1, o:153, a:1, s:1, b:1),
% 46.01/46.45 skol26 [177, 2] (w:1, o:111, a:1, s:1, b:1),
% 46.01/46.45 skol27 [178, 2] (w:1, o:112, a:1, s:1, b:1),
% 46.01/46.45 skol28 [179, 1] (w:1, o:55, a:1, s:1, b:1),
% 46.01/46.45 skol29 [180, 0] (w:1, o:21, a:1, s:1, b:1),
% 46.01/46.45 skol30 [181, 1] (w:1, o:56, a:1, s:1, b:1),
% 46.01/46.45 skol31 [182, 0] (w:1, o:22, a:1, s:1, b:1),
% 46.01/46.45 skol32 [183, 3] (w:1, o:132, a:1, s:1, b:1),
% 46.01/46.45 skol33 [184, 6] (w:1, o:173, a:1, s:1, b:1),
% 46.01/46.45 skol34 [185, 0] (w:1, o:23, a:1, s:1, b:1),
% 46.01/46.45 skol35 [186, 0] (w:1, o:24, a:1, s:1, b:1),
% 46.01/46.45 skol36 [187, 0] (w:1, o:25, a:1, s:1, b:1).
% 46.01/46.45
% 46.01/46.45
% 46.01/46.45 Starting Search:
% 46.01/46.45
% 46.01/46.45 *** allocated 33750 integers for clauses
% 46.01/46.45 *** allocated 33750 integers for termspace/termends
% 46.01/46.45 *** allocated 50625 integers for clauses
% 46.01/46.45 *** allocated 75937 integers for clauses
% 46.01/46.45 *** allocated 50625 integers for termspace/termends
% 46.01/46.45 *** allocated 113905 integers for clauses
% 46.01/46.45 Resimplifying inuse:
% 46.01/46.45 Done
% 46.01/46.45
% 46.01/46.45 *** allocated 75937Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------