TSTP Solution File: GRP636+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP636+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n016.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 : Sat Jul 16 07:38:07 EDT 2022

% Result   : Timeout 300.03s 300.41s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP636+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Mon Jun 13 10:33:44 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.47/1.12  *** allocated 10000 integers for termspace/termends
% 0.47/1.12  *** allocated 10000 integers for clauses
% 0.47/1.12  *** allocated 10000 integers for justifications
% 0.47/1.12  Bliksem 1.12
% 0.47/1.12  
% 0.47/1.12  
% 0.47/1.12  Automatic Strategy Selection
% 0.47/1.12  
% 0.47/1.12  
% 0.47/1.12  Clauses:
% 0.47/1.12  
% 0.47/1.12  { ! v3_struct_0( skol1 ) }.
% 0.47/1.12  { v3_group_1( skol1 ) }.
% 0.47/1.12  { v4_group_1( skol1 ) }.
% 0.47/1.12  { l1_group_1( skol1 ) }.
% 0.47/1.12  { ! v3_struct_0( skol22 ) }.
% 0.47/1.12  { v3_group_1( skol22 ) }.
% 0.47/1.12  { v4_group_1( skol22 ) }.
% 0.47/1.12  { l1_group_1( skol22 ) }.
% 0.47/1.12  { v1_funct_1( skol23 ) }.
% 0.47/1.12  { v1_funct_2( skol23, u1_struct_0( skol1 ), u1_struct_0( skol22 ) ) }.
% 0.47/1.12  { v1_group_6( skol23, skol1, skol22 ) }.
% 0.47/1.12  { m2_relset_1( skol23, u1_struct_0( skol1 ), u1_struct_0( skol22 ) ) }.
% 0.47/1.12  { m1_group_2( skol24, skol22 ) }.
% 0.47/1.12  { ! v1_group_1( X ), ! m1_group_2( X, skol1 ), ! u1_struct_0( X ) = 
% 0.47/1.12    k3_funct_2( u1_struct_0( skol1 ), u1_struct_0( skol22 ), skol23, 
% 0.47/1.12    u1_struct_0( skol24 ) ) }.
% 0.47/1.12  { ! l1_group_1( X ), ! v1_group_1( X ), X = g1_group_1( u1_struct_0( X ), 
% 0.47/1.12    u1_group_1( X ) ) }.
% 0.47/1.12  { ! r2_hidden( X, Y ), ! r2_hidden( Y, X ) }.
% 0.47/1.12  { ! m1_relset_1( Z, X, Y ), ! v1_funct_1( Z ), ! v1_partfun1( Z, X, Y ), 
% 0.47/1.12    v1_funct_1( Z ) }.
% 0.47/1.12  { ! m1_relset_1( Z, X, Y ), ! v1_funct_1( Z ), ! v1_partfun1( Z, X, Y ), 
% 0.47/1.12    v1_funct_2( Z, X, Y ) }.
% 0.47/1.12  { ! m1_subset_1( X, k1_zfmisc_1( k2_zfmisc_1( Y, Z ) ) ), v1_relat_1( X ) }
% 0.47/1.12    .
% 0.47/1.12  { v1_xboole_0( X ), ! m1_relset_1( Z, Y, X ), ! v1_funct_1( Z ), ! 
% 0.47/1.12    v1_funct_2( Z, Y, X ), v1_funct_1( Z ) }.
% 0.47/1.12  { v1_xboole_0( X ), ! m1_relset_1( Z, Y, X ), ! v1_funct_1( Z ), ! 
% 0.47/1.12    v1_funct_2( Z, Y, X ), v1_partfun1( Z, Y, X ) }.
% 0.47/1.12  { v1_xboole_0( X ), ! m1_relset_1( Z, Y, X ), ! v1_funct_1( Z ), ! 
% 0.47/1.12    v1_funct_2( Z, Y, X ), v1_funct_2( Z, Y, X ) }.
% 0.47/1.12  { v1_xboole_0( X ), v1_xboole_0( Y ), ! m1_relset_1( Z, X, Y ), ! 
% 0.47/1.12    v1_funct_1( Z ), ! v1_funct_2( Z, X, Y ), alpha2( Z ) }.
% 0.47/1.12  { v1_xboole_0( X ), v1_xboole_0( Y ), ! m1_relset_1( Z, X, Y ), ! 
% 0.47/1.12    v1_funct_1( Z ), ! v1_funct_2( Z, X, Y ), v1_partfun1( Z, X, Y ) }.
% 0.47/1.12  { v1_xboole_0( X ), v1_xboole_0( Y ), ! m1_relset_1( Z, X, Y ), ! 
% 0.47/1.12    v1_funct_1( Z ), ! v1_funct_2( Z, X, Y ), v1_funct_2( Z, X, Y ) }.
% 0.47/1.12  { ! alpha2( X ), v1_funct_1( X ) }.
% 0.47/1.12  { ! alpha2( X ), ! v1_xboole_0( X ) }.
% 0.47/1.12  { ! v1_funct_1( X ), v1_xboole_0( X ), alpha2( X ) }.
% 0.47/1.12  { ! l1_struct_0( X ), ! r1_rlvect_1( X, Y ), r2_hidden( Y, u1_struct_0( X )
% 0.47/1.12     ) }.
% 0.47/1.12  { ! l1_struct_0( X ), ! r2_hidden( Y, u1_struct_0( X ) ), r1_rlvect_1( X, Y
% 0.47/1.12     ) }.
% 0.47/1.12  { v3_struct_0( X ), ! l1_group_1( X ), v3_struct_0( Y ), ! l1_group_1( Y )
% 0.47/1.12    , ! v1_funct_1( Z ), ! v1_funct_2( Z, u1_struct_0( X ), u1_struct_0( Y )
% 0.47/1.12     ), ! m2_relset_1( Z, u1_struct_0( X ), u1_struct_0( Y ) ), ! v1_group_6
% 0.47/1.12    ( Z, X, Y ), ! m1_subset_1( T, u1_struct_0( X ) ), alpha1( X, Y, Z, T ) }
% 0.47/1.12    .
% 0.47/1.12  { v3_struct_0( X ), ! l1_group_1( X ), v3_struct_0( Y ), ! l1_group_1( Y )
% 0.47/1.12    , ! v1_funct_1( Z ), ! v1_funct_2( Z, u1_struct_0( X ), u1_struct_0( Y )
% 0.47/1.12     ), ! m2_relset_1( Z, u1_struct_0( X ), u1_struct_0( Y ) ), m1_subset_1( 
% 0.47/1.12    skol2( X, T, U ), u1_struct_0( X ) ), v1_group_6( Z, X, Y ) }.
% 0.47/1.12  { v3_struct_0( X ), ! l1_group_1( X ), v3_struct_0( Y ), ! l1_group_1( Y )
% 0.47/1.12    , ! v1_funct_1( Z ), ! v1_funct_2( Z, u1_struct_0( X ), u1_struct_0( Y )
% 0.47/1.12     ), ! m2_relset_1( Z, u1_struct_0( X ), u1_struct_0( Y ) ), ! alpha1( X, 
% 0.47/1.12    Y, Z, skol2( X, Y, Z ) ), v1_group_6( Z, X, Y ) }.
% 0.47/1.12  { ! alpha1( X, Y, Z, T ), ! m1_subset_1( U, u1_struct_0( X ) ), k8_funct_2
% 0.47/1.12    ( u1_struct_0( X ), u1_struct_0( Y ), Z, k1_group_1( X, T, U ) ) = 
% 0.47/1.12    k1_group_1( Y, k8_funct_2( u1_struct_0( X ), u1_struct_0( Y ), Z, T ), 
% 0.47/1.12    k8_funct_2( u1_struct_0( X ), u1_struct_0( Y ), Z, U ) ) }.
% 0.47/1.12  { m1_subset_1( skol3( X, U, W, V0 ), u1_struct_0( X ) ), alpha1( X, Y, Z, T
% 0.47/1.12     ) }.
% 0.47/1.12  { ! k8_funct_2( u1_struct_0( X ), u1_struct_0( Y ), Z, k1_group_1( X, T, 
% 0.47/1.12    skol3( X, Y, Z, T ) ) ) = k1_group_1( Y, k8_funct_2( u1_struct_0( X ), 
% 0.47/1.12    u1_struct_0( Y ), Z, T ), k8_funct_2( u1_struct_0( X ), u1_struct_0( Y )
% 0.47/1.12    , Z, skol3( X, Y, Z, T ) ) ), alpha1( X, Y, Z, T ) }.
% 0.47/1.12  { ! v1_funct_1( Y ), ! v1_funct_2( Y, k2_zfmisc_1( X, X ), X ), ! 
% 0.47/1.12    m1_relset_1( Y, k2_zfmisc_1( X, X ), X ), v1_group_1( g1_group_1( X, Y )
% 0.47/1.12     ) }.
% 0.47/1.12  { ! v1_funct_1( Y ), ! v1_funct_2( Y, k2_zfmisc_1( X, X ), X ), ! 
% 0.47/1.12    m1_relset_1( Y, k2_zfmisc_1( X, X ), X ), l1_group_1( g1_group_1( X, Y )
% 0.47/1.12     ) }.
% 0.47/1.12  { && }.
% 0.47/1.12  { && }.
% 0.47/1.12  { v3_struct_0( X ), ! l1_group_1( X ), ! m1_subset_1( Y, u1_struct_0( X ) )
% 0.47/1.12    , ! m1_subset_1( Z, u1_struct_0( X ) ), m1_subset_1( k1_group_1( X, Y, Z
% 0.47/1.12     ), u1_struct_0( X ) ) }.
% 0.47/1.12  { && }.
% 0.47/1.12  { && }.
% 0.47/1.12  { v3_struct_0( X ), ! l1_group_1( X ), m1_subset_1( k2_group_1( X ), 
% 0.47/1.12    u1_struct_0( X ) ) }.
% 0.47/1.12  { && }.
% 0.47/1.12  { ! v1_funct_1( Z ), ! m1_relset_1( Z, X, Y ), m1_subset_1( k3_funct_2( X, 
% 0.47/1.12    Y, Z, T ), k1_zfmisc_1( X ) ) }.
% 0.47/1.12  { v3_struct_0( X ), ! v3_group_1( X ), ! v4_group_1( X ), ! l1_group_1( X )
% 0.47/1.12    , ! m1_subset_1( Y, u1_struct_0( X ) ), m1_subset_1( k3_group_1( X, Y ), 
% 0.47/1.12    u1_struct_0( X ) ) }.
% 0.47/1.12  { v1_xboole_0( X ), ! v1_funct_1( Z ), ! v1_funct_2( Z, X, Y ), ! 
% 0.47/1.12    m1_relset_1( Z, X, Y ), ! m1_subset_1( T, X ), m1_subset_1( k8_funct_2( X
% 0.47/1.12    , Y, Z, T ), Y ) }.
% 0.47/1.12  { ! l1_group_1( X ), l1_struct_0( X ) }.
% 0.47/1.12  { && }.
% 0.47/1.12  { v3_struct_0( X ), ! v3_group_1( X ), ! l1_group_1( X ), ! m1_group_2( Y, 
% 0.47/1.12    X ), ! v3_struct_0( Y ) }.
% 0.47/1.12  { v3_struct_0( X ), ! v3_group_1( X ), ! l1_group_1( X ), ! m1_group_2( Y, 
% 0.47/1.12    X ), v3_group_1( Y ) }.
% 0.47/1.12  { v3_struct_0( X ), ! v3_group_1( X ), ! l1_group_1( X ), ! m1_group_2( Y, 
% 0.47/1.12    X ), l1_group_1( Y ) }.
% 0.47/1.12  { && }.
% 0.47/1.12  { && }.
% 0.47/1.12  { ! m2_relset_1( Z, X, Y ), m1_subset_1( Z, k1_zfmisc_1( k2_zfmisc_1( X, Y
% 0.47/1.12     ) ) ) }.
% 0.47/1.12  { ! l1_group_1( X ), v1_funct_1( u1_group_1( X ) ) }.
% 0.47/1.12  { ! l1_group_1( X ), v1_funct_2( u1_group_1( X ), k2_zfmisc_1( u1_struct_0
% 0.47/1.12    ( X ), u1_struct_0( X ) ), u1_struct_0( X ) ) }.
% 0.47/1.12  { ! l1_group_1( X ), m2_relset_1( u1_group_1( X ), k2_zfmisc_1( u1_struct_0
% 0.47/1.12    ( X ), u1_struct_0( X ) ), u1_struct_0( X ) ) }.
% 0.47/1.12  { && }.
% 0.47/1.12  { l1_group_1( skol4 ) }.
% 0.47/1.12  { l1_struct_0( skol5 ) }.
% 0.47/1.12  { v3_struct_0( X ), ! v3_group_1( X ), ! l1_group_1( X ), m1_group_2( skol6
% 0.47/1.12    ( X ), X ) }.
% 0.47/1.12  { m1_relset_1( skol7( X, Y ), X, Y ) }.
% 0.47/1.12  { m1_subset_1( skol8( X ), X ) }.
% 0.47/1.12  { m2_relset_1( skol9( X, Y ), X, Y ) }.
% 0.47/1.12  { v3_struct_0( X ), ! l1_struct_0( X ), ! v1_xboole_0( u1_struct_0( X ) ) }
% 0.47/1.12    .
% 0.47/1.12  { ! v1_xboole_0( k1_zfmisc_1( X ) ) }.
% 0.47/1.12  { v1_xboole_0( k1_xboole_0 ) }.
% 0.47/1.12  { v1_xboole_0( X ), v1_xboole_0( Y ), ! v1_xboole_0( k2_zfmisc_1( X, Y ) )
% 0.47/1.12     }.
% 0.47/1.12  { ! v1_funct_1( Y ), ! v1_funct_2( Y, k2_zfmisc_1( X, X ), X ), ! 
% 0.47/1.12    m1_relset_1( Y, k2_zfmisc_1( X, X ), X ), ! g1_group_1( X, Y ) = 
% 0.47/1.12    g1_group_1( Z, T ), X = Z }.
% 0.47/1.12  { ! v1_funct_1( Y ), ! v1_funct_2( Y, k2_zfmisc_1( X, X ), X ), ! 
% 0.47/1.12    m1_relset_1( Y, k2_zfmisc_1( X, X ), X ), ! g1_group_1( X, Y ) = 
% 0.47/1.12    g1_group_1( Z, T ), Y = T }.
% 0.47/1.12  { v1_relat_1( skol10( Z, T ) ) }.
% 0.47/1.12  { v1_funct_1( skol10( Z, T ) ) }.
% 0.47/1.12  { m1_relset_1( skol10( X, Y ), X, Y ) }.
% 0.47/1.12  { v1_funct_2( skol10( X, Y ), X, Y ) }.
% 0.47/1.12  { v1_xboole_0( X ), ! v1_xboole_0( skol11( Y ) ) }.
% 0.47/1.12  { v1_xboole_0( X ), m1_subset_1( skol11( X ), k1_zfmisc_1( X ) ) }.
% 0.47/1.12  { v1_xboole_0( skol12 ) }.
% 0.47/1.12  { v1_relat_1( skol13( Z, T ) ) }.
% 0.47/1.12  { v1_funct_1( skol13( Z, T ) ) }.
% 0.47/1.12  { m1_relset_1( skol13( X, Y ), X, Y ) }.
% 0.47/1.12  { v1_xboole_0( skol14( Y ) ) }.
% 0.47/1.12  { m1_subset_1( skol14( X ), k1_zfmisc_1( X ) ) }.
% 0.47/1.12  { ! v1_xboole_0( skol15 ) }.
% 0.47/1.12  { l1_struct_0( skol16 ) }.
% 0.47/1.12  { ! v3_struct_0( skol16 ) }.
% 0.47/1.12  { v3_struct_0( X ), ! l1_struct_0( X ), ! v1_xboole_0( skol17( Y ) ) }.
% 0.47/1.12  { v3_struct_0( X ), ! l1_struct_0( X ), m1_subset_1( skol17( X ), 
% 0.47/1.12    k1_zfmisc_1( u1_struct_0( X ) ) ) }.
% 0.47/1.12  { ! v1_funct_1( Z ), ! m1_relset_1( Z, X, Y ), k3_funct_2( X, Y, Z, T ) = 
% 0.47/1.12    k10_relat_1( Z, T ) }.
% 0.47/1.12  { v1_xboole_0( X ), ! v1_funct_1( Z ), ! v1_funct_2( Z, X, Y ), ! 
% 0.47/1.12    m1_relset_1( Z, X, Y ), ! m1_subset_1( T, X ), k8_funct_2( X, Y, Z, T ) =
% 0.47/1.12     k1_funct_1( Z, T ) }.
% 0.47/1.12  { ! m2_relset_1( Z, X, Y ), m1_relset_1( Z, X, Y ) }.
% 0.47/1.12  { ! m1_relset_1( Z, X, Y ), m2_relset_1( Z, X, Y ) }.
% 0.47/1.12  { r1_tarski( X, X ) }.
% 0.47/1.12  { ! r2_hidden( X, Y ), m1_subset_1( X, Y ) }.
% 0.47/1.12  { ! m1_subset_1( X, Y ), v1_xboole_0( Y ), r2_hidden( X, Y ) }.
% 0.47/1.12  { ! m1_subset_1( X, k1_zfmisc_1( Y ) ), r1_tarski( X, Y ) }.
% 0.47/1.12  { ! r1_tarski( X, Y ), m1_subset_1( X, k1_zfmisc_1( Y ) ) }.
% 0.47/1.12  { v3_struct_0( X ), ! v3_group_1( X ), ! v4_group_1( X ), ! l1_group_1( X )
% 0.47/1.12    , v3_struct_0( Y ), ! v3_group_1( Y ), ! v4_group_1( Y ), ! l1_group_1( Y
% 0.47/1.12     ), ! v1_funct_1( Z ), ! v1_funct_2( Z, u1_struct_0( X ), u1_struct_0( Y
% 0.47/1.12     ) ), ! v1_group_6( Z, X, Y ), ! m2_relset_1( Z, u1_struct_0( X ), 
% 0.47/1.12    u1_struct_0( Y ) ), k8_funct_2( u1_struct_0( X ), u1_struct_0( Y ), Z, 
% 0.47/1.12    k2_group_1( X ) ) = k2_group_1( Y ) }.
% 0.47/1.12  { v3_struct_0( X ), ! v3_group_1( X ), ! v4_group_1( X ), ! l1_group_1( X )
% 0.47/1.12    , v3_struct_0( Y ), ! v3_group_1( Y ), ! v4_group_1( Y ), ! l1_group_1( Y
% 0.47/1.12     ), ! m1_subset_1( Z, u1_struct_0( X ) ), ! v1_funct_1( T ), ! v1_funct_2
% 0.47/1.12    ( T, u1_struct_0( X ), u1_struct_0( Y ) ), ! v1_group_6( T, X, Y ), ! 
% 0.47/1.12    m2_relset_1( T, u1_struct_0( X ), u1_struct_0( Y ) ), k8_funct_2( 
% 0.47/1.12    u1_struct_0( X ), u1_struct_0( Y ), T, k3_group_1( X, Z ) ) = k3_group_1
% 0.47/1.12    ( Y, k8_funct_2( u1_struct_0( X ), u1_struct_0( Y ), T, Z ) ) }.
% 0.47/1.12  { ! v1_funct_1( Z ), ! v1_funct_2( Z, X, Y ), ! m2_relset_1( Z, X, Y ), Y =
% 0.47/1.12     k1_xboole_0, ! r2_hidden( U, k10_relat_1( Z, T ) ), r2_hidden( U, X ) }
% 0.47/1.12    .
% 0.47/1.12  { ! v1_funct_1( Z ), ! v1_funct_2( Z, X, Y ), ! m2_relset_1( Z, X, Y ), Y =
% 0.47/1.12     k1_xboole_0, ! r2_hidden( U, k10_relat_1( Z, T ) ), r2_hidden( 
% 0.47/1.12    k1_funct_1( Z, U ), T ) }.
% 0.47/1.12  { ! v1_funct_1( Z ), ! v1_funct_2( Z, X, Y ), ! m2_relset_1( Z, X, Y ), Y =
% 0.47/1.12     k1_xboole_0, ! r2_hidden( U, X ), ! r2_hidden( k1_funct_1( Z, U ), T ), 
% 0.47/1.12    r2_hidden( U, k10_relat_1( Z, T ) ) }.
% 0.47/1.12  { ! r2_hidden( X, Z ), ! m1_subset_1( Z, k1_zfmisc_1( Y ) ), m1_subset_1( X
% 0.47/1.12    , Y ) }.
% 0.47/1.12  { v3_struct_0( X ), ! v3_group_1( X ), ! v4_group_1( X ), ! l1_group_1( X )
% 0.47/1.12    , ! m1_group_2( Y, X ), r1_rlvect_1( Y, k2_group_1( X ) ) }.
% 0.47/1.12  { v3_struct_0( X ), ! v3_group_1( X ), ! v4_group_1( X ), ! l1_group_1( X )
% 0.47/1.12    , ! m1_subset_1( Y, u1_struct_0( X ) ), ! m1_subset_1( Z, u1_struct_0( X
% 0.47/1.12     ) ), ! m1_group_2( T, X ), ! r1_rlvect_1( T, Y ), ! r1_rlvect_1( T, Z )
% 0.47/1.12    , r1_rlvect_1( T, k1_group_1( X, Y, Z ) ) }.
% 0.47/1.12  { ! r2_hidden( X, Y ), ! m1_subset_1( Y, k1_zfmisc_1( Z ) ), ! v1_xboole_0
% 0.47/1.12    ( Z ) }.
% 0.47/1.12  { v3_struct_0( X ), ! v3_group_1( X ), ! v4_group_1( X ), ! l1_group_1( X )
% 0.47/1.12    , ! m1_subset_1( Y, u1_struct_0( X ) ), ! m1_group_2( Z, X ), ! 
% 0.47/1.12    r1_rlvect_1( Z, Y ), r1_rlvect_1( Z, k3_group_1( X, Y ) ) }.
% 0.47/1.12  { v3_struct_0( X ), ! v3_group_1( X ), ! v4_group_1( X ), ! l1_group_1( X )
% 0.47/1.12    , alpha3( X, Y ), v1_group_1( skol18( Z, T ) ) }.
% 0.47/1.12  { v3_struct_0( X ), ! v3_group_1( X ), ! v4_group_1( X ), ! l1_group_1( X )
% 0.47/1.12    , alpha3( X, Y ), u1_struct_0( skol18( Z, Y ) ) = Y }.
% 0.47/1.12  { v3_struct_0( X ), ! v3_group_1( X ), ! v4_group_1( X ), ! l1_group_1( X )
% 0.47/1.12    , alpha3( X, Y ), m1_group_2( skol18( X, Y ), X ) }.
% 0.47/1.12  { ! alpha3( X, Y ), alpha4( X, Y ), alpha5( X, Y ) }.
% 0.47/1.12  { ! alpha4( X, Y ), alpha3( X, Y ) }.
% 0.47/1.12  { ! alpha5( X, Y ), alpha3( X, Y ) }.
% 0.47/1.12  { ! alpha5( X, Y ), r2_hidden( skol19( Z, Y ), Y ) }.
% 0.47/1.12  { ! alpha5( X, Y ), m1_subset_1( skol19( X, Y ), u1_struct_0( X ) ) }.
% 0.47/1.12  { ! alpha5( X, Y ), ! r2_hidden( k3_group_1( X, skol19( X, Y ) ), Y ) }.
% 0.47/1.12  { ! m1_subset_1( Z, u1_struct_0( X ) ), ! r2_hidden( Z, Y ), r2_hidden( 
% 0.47/1.12    k3_group_1( X, Z ), Y ), alpha5( X, Y ) }.
% 0.47/1.12  { ! alpha4( X, Y ), alpha6( X, Y ), alpha7( X, Y ) }.
% 0.47/1.12  { ! alpha6( X, Y ), alpha4( X, Y ) }.
% 0.47/1.12  { ! alpha7( X, Y ), alpha4( X, Y ) }.
% 0.47/1.12  { ! alpha7( X, Y ), m1_subset_1( skol20( X, Z ), u1_struct_0( X ) ) }.
% 0.47/1.12  { ! alpha7( X, Y ), alpha8( X, Y, skol20( X, Y ) ) }.
% 0.47/1.12  { ! m1_subset_1( Z, u1_struct_0( X ) ), ! alpha8( X, Y, Z ), alpha7( X, Y )
% 0.47/1.12     }.
% 0.47/1.12  { ! alpha8( X, Y, Z ), alpha9( X, Y, Z, skol21( X, Y, Z ) ) }.
% 0.47/1.12  { ! alpha8( X, Y, Z ), ! r2_hidden( k1_group_1( X, Z, skol21( X, Y, Z ) ), 
% 0.47/1.12    Y ) }.
% 0.47/1.12  { ! alpha9( X, Y, Z, T ), r2_hidden( k1_group_1( X, Z, T ), Y ), alpha8( X
% 0.47/1.12    , Y, Z ) }.
% 0.47/1.12  { ! alpha9( X, Y, Z, T ), m1_subset_1( T, u1_struct_0( X ) ) }.
% 0.47/1.12  { ! alpha9( X, Y, Z, T ), r2_hidden( Z, Y ) }.
% 0.47/1.12  { ! alpha9( X, Y, Z, T ), r2_hidden( T, Y ) }.
% 0.47/1.12  { ! m1_subset_1( T, u1_struct_0( X ) ), ! r2_hidden( Z, Y ), ! r2_hidden( T
% 0.47/1.12    , Y ), alpha9( X, Y, Z, T ) }.
% 0.47/1.12  { ! alpha6( X, Y ), ! m1_subset_1( Y, k1_zfmisc_1( u1_struct_0( X ) ) ), Y 
% 0.47/1.12    = k1_xboole_0 }.
% 0.47/1.12  { m1_subset_1( Y, k1_zfmisc_1( u1_struct_0( X ) ) ), alpha6( X, Y ) }.
% 0.47/1.12  { ! Y = k1_xboole_0, alpha6( X, Y ) }.
% 0.47/1.12  { ! v1_xboole_0( X ), X = k1_xboole_0 }.
% 0.47/1.12  { ! r2_hidden( X, Y ), ! v1_xboole_0( Y ) }.
% 0.47/1.12  { ! v1_xboole_0( X ), X = Y, ! v1_xboole_0( Y ) }.
% 0.47/1.12  
% 0.47/1.12  percentage equality = 0.053763, percentage horn = 0.717742
% 0.47/1.12  This is a problem with some equality
% 0.47/1.12  
% 0.47/1.12  
% 0.47/1.12  
% 0.47/1.12  Options Used:
% 0.47/1.12  
% 0.47/1.12  useres =            1
% 0.47/1.12  useparamod =        1
% 0.47/1.12  useeqrefl =         1
% 0.47/1.12  useeqfact =         1
% 15.56/15.93  usefactor =         1
% 15.56/15.93  usesimpsplitting =  0
% 15.56/15.93  usesimpdemod =      5
% 15.56/15.93  usesimpres =        3
% 15.56/15.93  
% 15.56/15.93  resimpinuse      =  1000
% 15.56/15.93  resimpclauses =     20000
% 15.56/15.93  substype =          eqrewr
% 15.56/15.93  backwardsubs =      1
% 15.56/15.93  selectoldest =      5
% 15.56/15.93  
% 15.56/15.93  litorderings [0] =  split
% 15.56/15.93  litorderings [1] =  extend the termordering, first sorting on arguments
% 15.56/15.93  
% 15.56/15.93  termordering =      kbo
% 15.56/15.93  
% 15.56/15.93  litapriori =        0
% 15.56/15.93  termapriori =       1
% 15.56/15.93  litaposteriori =    0
% 15.56/15.93  termaposteriori =   0
% 15.56/15.93  demodaposteriori =  0
% 15.56/15.93  ordereqreflfact =   0
% 15.56/15.93  
% 15.56/15.93  litselect =         negord
% 15.56/15.93  
% 15.56/15.93  maxweight =         15
% 15.56/15.93  maxdepth =          30000
% 15.56/15.93  maxlength =         115
% 15.56/15.93  maxnrvars =         195
% 15.56/15.93  excuselevel =       1
% 15.56/15.93  increasemaxweight = 1
% 15.56/15.93  
% 15.56/15.93  maxselected =       10000000
% 15.56/15.93  maxnrclauses =      10000000
% 15.56/15.93  
% 15.56/15.93  showgenerated =    0
% 15.56/15.93  showkept =         0
% 15.56/15.93  showselected =     0
% 15.56/15.93  showdeleted =      0
% 15.56/15.93  showresimp =       1
% 15.56/15.93  showstatus =       2000
% 15.56/15.93  
% 15.56/15.93  prologoutput =     0
% 15.56/15.93  nrgoals =          5000000
% 15.56/15.93  totalproof =       1
% 15.56/15.93  
% 15.56/15.93  Symbols occurring in the translation:
% 15.56/15.93  
% 15.56/15.93  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 15.56/15.93  .  [1, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 15.56/15.93  &&  [3, 0]      (w:1, o:4, a:1, s:1, b:0), 
% 15.56/15.93  !  [4, 1]      (w:0, o:21, a:1, s:1, b:0), 
% 15.56/15.93  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 15.56/15.93  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 15.56/15.93  v3_struct_0  [36, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 15.56/15.93  v3_group_1  [37, 1]      (w:1, o:29, a:1, s:1, b:0), 
% 15.56/15.93  v4_group_1  [38, 1]      (w:1, o:30, a:1, s:1, b:0), 
% 15.56/15.93  l1_group_1  [39, 1]      (w:1, o:33, a:1, s:1, b:0), 
% 15.56/15.93  v1_funct_1  [42, 1]      (w:1, o:34, a:1, s:1, b:0), 
% 15.56/15.93  u1_struct_0  [43, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 15.56/15.93  v1_funct_2  [44, 3]      (w:1, o:91, a:1, s:1, b:0), 
% 15.56/15.93  v1_group_6  [45, 3]      (w:1, o:92, a:1, s:1, b:0), 
% 15.56/15.93  m2_relset_1  [46, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 15.56/15.93  m1_group_2  [48, 2]      (w:1, o:69, a:1, s:1, b:0), 
% 15.56/15.93  v1_group_1  [50, 1]      (w:1, o:35, a:1, s:1, b:0), 
% 15.56/15.93  k3_funct_2  [51, 4]      (w:1, o:100, a:1, s:1, b:0), 
% 15.56/15.93  u1_group_1  [52, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 15.56/15.93  g1_group_1  [53, 2]      (w:1, o:70, a:1, s:1, b:0), 
% 15.56/15.93  r2_hidden  [54, 2]      (w:1, o:73, a:1, s:1, b:0), 
% 15.56/15.93  m1_relset_1  [55, 3]      (w:1, o:93, a:1, s:1, b:0), 
% 15.56/15.93  v1_partfun1  [56, 3]      (w:1, o:95, a:1, s:1, b:0), 
% 15.56/15.93  k2_zfmisc_1  [57, 2]      (w:1, o:76, a:1, s:1, b:0), 
% 15.56/15.93  k1_zfmisc_1  [58, 1]      (w:1, o:31, a:1, s:1, b:0), 
% 15.56/15.93  m1_subset_1  [59, 2]      (w:1, o:77, a:1, s:1, b:0), 
% 15.56/15.93  v1_relat_1  [60, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 15.56/15.93  v1_xboole_0  [61, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 15.56/15.93  l1_struct_0  [62, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 15.56/15.93  r1_rlvect_1  [63, 2]      (w:1, o:71, a:1, s:1, b:0), 
% 15.56/15.93  k1_group_1  [64, 3]      (w:1, o:96, a:1, s:1, b:0), 
% 15.56/15.93  k8_funct_2  [65, 4]      (w:1, o:101, a:1, s:1, b:0), 
% 15.56/15.93  k2_group_1  [66, 1]      (w:1, o:32, a:1, s:1, b:0), 
% 15.56/15.93  k3_group_1  [67, 2]      (w:1, o:78, a:1, s:1, b:0), 
% 15.56/15.93  k1_xboole_0  [68, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 15.56/15.93  k10_relat_1  [69, 2]      (w:1, o:74, a:1, s:1, b:0), 
% 15.56/15.93  k1_funct_1  [70, 2]      (w:1, o:75, a:1, s:1, b:0), 
% 15.56/15.93  r1_tarski  [71, 2]      (w:1, o:72, a:1, s:1, b:0), 
% 15.56/15.93  alpha1  [72, 4]      (w:1, o:102, a:1, s:1, b:1), 
% 15.56/15.93  alpha2  [73, 1]      (w:1, o:39, a:1, s:1, b:1), 
% 15.56/15.93  alpha3  [74, 2]      (w:1, o:79, a:1, s:1, b:1), 
% 15.56/15.93  alpha4  [75, 2]      (w:1, o:80, a:1, s:1, b:1), 
% 15.56/15.93  alpha5  [76, 2]      (w:1, o:81, a:1, s:1, b:1), 
% 15.56/15.93  alpha6  [77, 2]      (w:1, o:82, a:1, s:1, b:1), 
% 15.56/15.93  alpha7  [78, 2]      (w:1, o:83, a:1, s:1, b:1), 
% 15.56/15.93  alpha8  [79, 3]      (w:1, o:97, a:1, s:1, b:1), 
% 15.56/15.93  alpha9  [80, 4]      (w:1, o:103, a:1, s:1, b:1), 
% 15.56/15.93  skol1  [81, 0]      (w:1, o:12, a:1, s:1, b:1), 
% 15.56/15.93  skol2  [82, 3]      (w:1, o:98, a:1, s:1, b:1), 
% 15.56/15.93  skol3  [83, 4]      (w:1, o:104, a:1, s:1, b:1), 
% 15.56/15.93  skol4  [84, 0]      (w:1, o:13, a:1, s:1, b:1), 
% 15.56/15.93  skol5  [85, 0]      (w:1, o:14, a:1, s:1, b:1), 
% 15.56/15.93  skol6  [86, 1]      (w:1, o:40, a:1, s:1, b:1), 
% 15.56/15.93  skol7  [87, 2]      (w:1, o:84, a:1, s:1, b:1), 
% 15.56/15.93  skol8  [88, 1]      (w:1, o:41, a:1, s:1, b:1), 
% 15.56/15.93  skol9  [89, 2]      (w:1, o:85, a:1, s:1, b:1), 
% 15.56/15.93  skol10  [90, 2]      (w:1, o:86, a:1, s:1, b:1), 
% 15.56/15.93  skol11  [91, 1]      (w:1, o:42, a:1, s:1, b:1), 
% 15.56/15.93  skol12  [92, 0]      (w:1, o:15, a:1, s:1, b:1), 
% 15.56/15.93  skol13  [93, 2]      (w:1, o:87, a:1, s:1, b:1), 
% 15.56/15.93  skol14  [94, 1]      (w:1, o:43, a:1, s:1, b:1), 
% 113.47/113.87  skol15  [95, 0]      (w:1, o:16, a:1, s:1, b:1), 
% 113.47/113.87  skol16  [96, 0]      (w:1, o:17, a:1, s:1, b:1), 
% 113.47/113.87  skol17  [97, 1]      (w:1, o:44, a:1, s:1, b:1), 
% 113.47/113.87  skol18  [98, 2]      (w:1, o:88, a:1, s:1, b:1), 
% 113.47/113.87  skol19  [99, 2]      (w:1, o:89, a:1, s:1, b:1), 
% 113.47/113.87  skol20  [100, 2]      (w:1, o:90, a:1, s:1, b:1), 
% 113.47/113.87  skol21  [101, 3]      (w:1, o:99, a:1, s:1, b:1), 
% 113.47/113.87  skol22  [102, 0]      (w:1, o:18, a:1, s:1, b:1), 
% 113.47/113.87  skol23  [103, 0]      (w:1, o:19, a:1, s:1, b:1), 
% 113.47/113.87  skol24  [104, 0]      (w:1, o:20, a:1, s:1, b:1).
% 113.47/113.87  
% 113.47/113.87  
% 113.47/113.87  Starting Search:
% 113.47/113.87  
% 113.47/113.87  *** allocated 15000 integers for clauses
% 113.47/113.87  *** allocated 22500 integers for clauses
% 113.47/113.87  *** allocated 15000 integers for termspace/termends
% 113.47/113.87  *** allocated 33750 integers for clauses
% 113.47/113.87  *** allocated 50625 integers for clauses
% 113.47/113.87  *** allocated 22500 integers for termspace/termends
% 113.47/113.87  *** allocated 75937 integers for clauses
% 113.47/113.87  *** allocated 33750 integers for termspace/termends
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  *** allocated 50625 integers for termspace/termends
% 113.47/113.87  *** allocated 113905 integers for clauses
% 113.47/113.87  
% 113.47/113.87  Intermediate Status:
% 113.47/113.87  Generated:    5834
% 113.47/113.87  Kept:         2025
% 113.47/113.87  Inuse:        222
% 113.47/113.87  Deleted:      22
% 113.47/113.87  Deletedinuse: 8
% 113.47/113.87  
% 113.47/113.87  *** allocated 75937 integers for termspace/termends
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  *** allocated 170857 integers for clauses
% 113.47/113.87  *** allocated 113905 integers for termspace/termends
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  *** allocated 256285 integers for clauses
% 113.47/113.87  
% 113.47/113.87  Intermediate Status:
% 113.47/113.87  Generated:    14716
% 113.47/113.87  Kept:         4114
% 113.47/113.87  Inuse:        347
% 113.47/113.87  Deleted:      29
% 113.47/113.87  Deletedinuse: 11
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  *** allocated 170857 integers for termspace/termends
% 113.47/113.87  *** allocated 384427 integers for clauses
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  
% 113.47/113.87  Intermediate Status:
% 113.47/113.87  Generated:    19666
% 113.47/113.87  Kept:         6126
% 113.47/113.87  Inuse:        414
% 113.47/113.87  Deleted:      29
% 113.47/113.87  Deletedinuse: 11
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  *** allocated 576640 integers for clauses
% 113.47/113.87  
% 113.47/113.87  Intermediate Status:
% 113.47/113.87  Generated:    29542
% 113.47/113.87  Kept:         8130
% 113.47/113.87  Inuse:        522
% 113.47/113.87  Deleted:      33
% 113.47/113.87  Deletedinuse: 11
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  *** allocated 256285 integers for termspace/termends
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  
% 113.47/113.87  Intermediate Status:
% 113.47/113.87  Generated:    51528
% 113.47/113.87  Kept:         10153
% 113.47/113.87  Inuse:        692
% 113.47/113.87  Deleted:      42
% 113.47/113.87  Deletedinuse: 11
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  
% 113.47/113.87  Intermediate Status:
% 113.47/113.87  Generated:    64870
% 113.47/113.87  Kept:         12155
% 113.47/113.87  Inuse:        783
% 113.47/113.87  Deleted:      64
% 113.47/113.87  Deletedinuse: 20
% 113.47/113.87  
% 113.47/113.87  *** allocated 864960 integers for clauses
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  
% 113.47/113.87  Intermediate Status:
% 113.47/113.87  Generated:    78186
% 113.47/113.87  Kept:         14172
% 113.47/113.87  Inuse:        919
% 113.47/113.87  Deleted:      68
% 113.47/113.87  Deletedinuse: 22
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  *** allocated 384427 integers for termspace/termends
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  
% 113.47/113.87  Intermediate Status:
% 113.47/113.87  Generated:    92921
% 113.47/113.87  Kept:         16181
% 113.47/113.87  Inuse:        1024
% 113.47/113.87  Deleted:      103
% 113.47/113.87  Deletedinuse: 45
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  
% 113.47/113.87  Intermediate Status:
% 113.47/113.87  Generated:    113100
% 113.47/113.87  Kept:         18182
% 113.47/113.87  Inuse:        1132
% 113.47/113.87  Deleted:      145
% 113.47/113.87  Deletedinuse: 67
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  *** allocated 1297440 integers for clauses
% 113.47/113.87  Resimplifying clauses:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  
% 113.47/113.87  Intermediate Status:
% 113.47/113.87  Generated:    136149
% 113.47/113.87  Kept:         20351
% 113.47/113.87  Inuse:        1295
% 113.47/113.87  Deleted:      3530
% 113.47/113.87  Deletedinuse: 68
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  
% 113.47/113.87  Intermediate Status:
% 113.47/113.87  Generated:    155129
% 113.47/113.87  Kept:         22356
% 113.47/113.87  Inuse:        1391
% 113.47/113.87  Deleted:      3565
% 113.47/113.87  Deletedinuse: 102
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  
% 113.47/113.87  Intermediate Status:
% 113.47/113.87  Generated:    167495
% 113.47/113.87  Kept:         24382
% 113.47/113.87  Inuse:        1456
% 113.47/113.87  Deleted:      3565
% 113.47/113.87  Deletedinuse: 102
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  *** allocated 576640 integers for termspace/termends
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  
% 113.47/113.87  Intermediate Status:
% 113.47/113.87  Generated:    177551
% 113.47/113.87  Kept:         26385
% 113.47/113.87  Inuse:        1501
% 113.47/113.87  Deleted:      3565
% 113.47/113.87  Deletedinuse: 102
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  
% 113.47/113.87  Intermediate Status:
% 113.47/113.87  Generated:    197516
% 113.47/113.87  Kept:         28387
% 113.47/113.87  Inuse:        1600
% 113.47/113.87  Deleted:      3567
% 113.47/113.87  Deletedinuse: 102
% 113.47/113.87  
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  *** allocated 1946160 integers for clauses
% 113.47/113.87  Resimplifying inuse:
% 113.47/113.87  Done
% 113.47/113.87  
% 113.47/113.87  
% 113.47/113.87  Intermediate Status:
% 113.47/113.87  Generated:    229210
% 113.47/113.87  Kept:         30401
% 113.47/113.87  Inuse:        17Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------