%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU381+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n023.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 : 300s
% DateTime : Tue May 5 05:12:07 PM UTC 2026
% Result : Theorem 127.30s 78.44s
% Output : CNFRefutation 139.79s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_188)
% Comments :
%------------------------------------------------------------------------------
fof(rc3_waybel_7,axiom,
! [X1] :
( one_sorted_str(X1)
=> ? [X2] :
( element(X2,powerset(powerset(the_carrier(X1))))
& ~ empty(X2)
& finite(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_waybel_7) ).
fof(cc1_waybel_3,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& connected_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ( directed_subset(X2,X1)
& filtered_subset(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_waybel_3) ).
fof(rc2_waybel_7,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(powerset(X1)))
& ~ empty(X2)
& finite(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_waybel_7) ).
fof(rc10_waybel_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& rel_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2)
& filtered_subset(X2,X1)
& upper_relstr_subset(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc10_waybel_0) ).
fof(rc2_waybel_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& rel_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2)
& finite(X2)
& directed_subset(X2,X1)
& filtered_subset(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_waybel_0) ).
fof(t11_waybel_7,conjecture,
! [X1,X2] :
( element(X2,powerset(the_carrier(boole_POSet(X1))))
=> ( upper_relstr_subset(X2,boole_POSet(X1))
<=> ! [X3,X4] :
( ( subset(X3,X4)
& subset(X4,X1)
& in(X3,X2) )
=> in(X4,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_waybel_7) ).
fof(rc5_struct_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(rc4_finset_1,axiom,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2)
& finite(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_finset_1) ).
fof(rc3_finset_1,axiom,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2)
& finite(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_finset_1) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ empty(powerset(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(d20_waybel_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ( upper_relstr_subset(X2,X1)
<=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( ( in(X3,X2)
& related(X1,X3,X4) )
=> in(X4,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d20_waybel_0) ).
fof(t4_waybel_7,axiom,
! [X1] : the_carrier(boole_POSet(X1)) = powerset(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_waybel_7) ).
fof(redefinition_r3_orders_2,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& rel_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> ( related_reflexive(X1,X2,X3)
<=> related(X1,X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_orders_2) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> element(X3,powerset(cartesian_product2(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(reflexivity_r3_orders_2,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& rel_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> related_reflexive(X1,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r3_orders_2) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(cc9_waybel_1,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& bounded_relstr(X1)
& distributive_relstr(X1)
& complemented_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& distributive_relstr(X1)
& complemented_relstr(X1)
& boolean_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc9_waybel_1) ).
fof(rc1_waybel_0,axiom,
! [X1] :
( rel_str(X1)
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& directed_subset(X2,X1)
& filtered_subset(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_waybel_0) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(cc4_waybel_4,axiom,
! [X1] :
( rel_str(X1)
=> ( ( reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& v3_waybel_3(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1)
& ~ v1_yellow_3(X1)
& v1_waybel_2(X1)
& v2_waybel_2(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_waybel_4) ).
fof(cc5_waybel_3,axiom,
! [X1] :
( rel_str(X1)
=> ( ( reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& lower_bounded_relstr(X1)
& up_complete_relstr(X1)
& v2_waybel_3(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& lower_bounded_relstr(X1)
& v3_waybel_3(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_waybel_3) ).
fof(cc2_finset_1,axiom,
! [X1] :
( finite(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> finite(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).
fof(cc2_waybel_3,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& connected_relstr(X1)
& up_complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& connected_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_waybel_3) ).
fof(cc12_waybel_0,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& lower_bounded_relstr(X1)
& up_complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc12_waybel_0) ).
fof(cc1_yellow_2,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& upper_bounded_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow_2) ).
fof(fc4_subset_1,axiom,
! [X1,X2] :
( ( ~ empty(X1)
& ~ empty(X2) )
=> ~ empty(cartesian_product2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(cc6_waybel_3,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& complete_relstr(X1)
& connected_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& connected_relstr(X1)
& v2_waybel_3(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_waybel_3) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(cc14_waybel_0,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& antisymmetric_relstr(X1)
& upper_bounded_relstr(X1)
& join_complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& upper_bounded_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc14_waybel_0) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(cc13_waybel_0,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& antisymmetric_relstr(X1)
& join_complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& antisymmetric_relstr(X1)
& with_infima_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc13_waybel_0) ).
fof(cc9_waybel_0,axiom,
! [X1] :
( rel_str(X1)
=> ( ( reflexive_relstr(X1)
& with_suprema_relstr(X1)
& up_complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& with_suprema_relstr(X1)
& upper_bounded_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc9_waybel_0) ).
fof(cc4_waybel_3,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& v3_waybel_3(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& up_complete_relstr(X1)
& v2_waybel_3(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_waybel_3) ).
fof(cc3_waybel_3,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& trivial_carrier(X1)
& reflexive_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& v2_waybel_3(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_waybel_3) ).
fof(cc5_waybel_0,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& trivial_carrier(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& connected_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_waybel_0) ).
fof(cc11_waybel_0,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& join_complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& lower_bounded_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc11_waybel_0) ).
fof(cc2_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& trivial_carrier(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& complete_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_yellow_0) ).
fof(cc10_waybel_0,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc10_waybel_0) ).
fof(fc13_yellow_3,axiom,
! [X1] :
( ( ~ v1_yellow_3(X1)
& rel_str(X1) )
=> ( ~ empty(the_InternalRel(X1))
& relation(the_InternalRel(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_yellow_3) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(cc3_yellow_3,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1) )
=> ( ~ empty_carrier(X1)
& ~ v1_yellow_3(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_yellow_3) ).
fof(cc8_waybel_1,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& boolean_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& distributive_relstr(X1)
& complemented_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc8_waybel_1) ).
fof(cc3_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& bounded_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_yellow_0) ).
fof(cc10_waybel_1,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& boolean_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& upper_bounded_relstr(X1)
& distributive_relstr(X1)
& heyting_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc10_waybel_1) ).
fof(cc6_waybel_1,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& heyting_relstr(X1) )
=> ( ~ empty_carrier(X1)
& distributive_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_waybel_1) ).
fof(cc7_waybel_1,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& heyting_relstr(X1) )
=> ( ~ empty_carrier(X1)
& upper_bounded_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc7_waybel_1) ).
fof(cc5_waybel_1,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& heyting_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_waybel_1) ).
fof(cc1_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow_0) ).
fof(cc2_lattice3,axiom,
! [X1] :
( rel_str(X1)
=> ( with_infima_relstr(X1)
=> ~ empty_carrier(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(cc1_lattice3,axiom,
! [X1] :
( rel_str(X1)
=> ( with_suprema_relstr(X1)
=> ~ empty_carrier(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(fc2_waybel_7,axiom,
! [X1] :
( ~ empty(X1)
=> ( ~ empty_carrier(boole_POSet(X1))
& ~ trivial_carrier(boole_POSet(X1))
& strict_rel_str(boole_POSet(X1))
& reflexive_relstr(boole_POSet(X1))
& transitive_relstr(boole_POSet(X1))
& antisymmetric_relstr(boole_POSet(X1))
& lower_bounded_relstr(boole_POSet(X1))
& upper_bounded_relstr(boole_POSet(X1))
& bounded_relstr(boole_POSet(X1))
& up_complete_relstr(boole_POSet(X1))
& join_complete_relstr(boole_POSet(X1))
& ~ v1_yellow_3(boole_POSet(X1))
& distributive_relstr(boole_POSet(X1))
& heyting_relstr(boole_POSet(X1))
& complemented_relstr(boole_POSet(X1))
& boolean_relstr(boole_POSet(X1))
& with_suprema_relstr(boole_POSet(X1))
& with_infima_relstr(boole_POSet(X1))
& complete_relstr(boole_POSet(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel_7) ).
fof(cc2_yellow_3,axiom,
! [X1] :
( rel_str(X1)
=> ( ~ v1_yellow_3(X1)
=> ~ empty_carrier(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_yellow_3) ).
fof(fc1_waybel_7,axiom,
! [X1] :
( ~ empty_carrier(boole_POSet(X1))
& strict_rel_str(boole_POSet(X1))
& reflexive_relstr(boole_POSet(X1))
& transitive_relstr(boole_POSet(X1))
& antisymmetric_relstr(boole_POSet(X1))
& lower_bounded_relstr(boole_POSet(X1))
& upper_bounded_relstr(boole_POSet(X1))
& bounded_relstr(boole_POSet(X1))
& up_complete_relstr(boole_POSet(X1))
& join_complete_relstr(boole_POSet(X1))
& ~ v1_yellow_3(boole_POSet(X1))
& distributive_relstr(boole_POSet(X1))
& heyting_relstr(boole_POSet(X1))
& complemented_relstr(boole_POSet(X1))
& boolean_relstr(boole_POSet(X1))
& with_suprema_relstr(boole_POSet(X1))
& with_infima_relstr(boole_POSet(X1))
& complete_relstr(boole_POSet(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_waybel_7) ).
fof(fc9_waybel_1,axiom,
! [X1] :
( ~ empty_carrier(boole_POSet(X1))
& strict_rel_str(boole_POSet(X1))
& reflexive_relstr(boole_POSet(X1))
& transitive_relstr(boole_POSet(X1))
& antisymmetric_relstr(boole_POSet(X1))
& with_suprema_relstr(boole_POSet(X1))
& with_infima_relstr(boole_POSet(X1))
& complete_relstr(boole_POSet(X1))
& lower_bounded_relstr(boole_POSet(X1))
& upper_bounded_relstr(boole_POSet(X1))
& bounded_relstr(boole_POSet(X1))
& up_complete_relstr(boole_POSet(X1))
& join_complete_relstr(boole_POSet(X1))
& distributive_relstr(boole_POSet(X1))
& complemented_relstr(boole_POSet(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_waybel_1) ).
fof(fc8_yellow_1,axiom,
! [X1] :
( ~ empty_carrier(boole_POSet(X1))
& strict_rel_str(boole_POSet(X1))
& reflexive_relstr(boole_POSet(X1))
& transitive_relstr(boole_POSet(X1))
& antisymmetric_relstr(boole_POSet(X1))
& lower_bounded_relstr(boole_POSet(X1))
& upper_bounded_relstr(boole_POSet(X1))
& bounded_relstr(boole_POSet(X1))
& with_suprema_relstr(boole_POSet(X1))
& with_infima_relstr(boole_POSet(X1))
& complete_relstr(boole_POSet(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_yellow_1) ).
fof(fc7_yellow_1,axiom,
! [X1] :
( ~ empty_carrier(boole_POSet(X1))
& strict_rel_str(boole_POSet(X1))
& reflexive_relstr(boole_POSet(X1))
& transitive_relstr(boole_POSet(X1))
& antisymmetric_relstr(boole_POSet(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_yellow_1) ).
fof(fc1_waybel_1,axiom,
! [X1] :
( ~ empty_carrier(boole_POSet(X1))
& strict_rel_str(boole_POSet(X1))
& reflexive_relstr(boole_POSet(X1))
& transitive_relstr(boole_POSet(X1))
& antisymmetric_relstr(boole_POSet(X1))
& with_suprema_relstr(boole_POSet(X1))
& with_infima_relstr(boole_POSet(X1))
& complete_relstr(boole_POSet(X1))
& lower_bounded_relstr(boole_POSet(X1))
& upper_bounded_relstr(boole_POSet(X1))
& bounded_relstr(boole_POSet(X1))
& up_complete_relstr(boole_POSet(X1))
& join_complete_relstr(boole_POSet(X1))
& distributive_relstr(boole_POSet(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_waybel_1) ).
fof(rc1_waybel_7,axiom,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& ~ trivial_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& ~ v1_yellow_3(X1)
& distributive_relstr(X1)
& heyting_relstr(X1)
& complemented_relstr(X1)
& boolean_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_waybel_7) ).
fof(rc1_yellow_3,axiom,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& ~ v1_yellow_3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_yellow_3) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(rc1_finset_1,axiom,
? [X1] :
( ~ empty(X1)
& finite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_finset_1) ).
fof(rc5_waybel_1,axiom,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& upper_bounded_relstr(X1)
& distributive_relstr(X1)
& heyting_relstr(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_waybel_1) ).
fof(rc4_waybel_1,axiom,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& distributive_relstr(X1)
& heyting_relstr(X1)
& complemented_relstr(X1)
& boolean_relstr(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_waybel_1) ).
fof(rc3_struct_0,axiom,
? [X1] :
( one_sorted_str(X1)
& ~ empty_carrier(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(rc2_yellow_0,axiom,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_yellow_0) ).
fof(rc2_waybel_3,axiom,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1)
& v2_waybel_3(X1)
& v3_waybel_3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_waybel_3) ).
fof(rc2_lattice3,axiom,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_lattice3) ).
fof(rc1_yellow_0,axiom,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1)
& trivial_carrier(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_yellow_0) ).
fof(rc1_waybel_6,axiom,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1)
& distributive_relstr(X1)
& v2_waybel_3(X1)
& v3_waybel_3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_waybel_6) ).
fof(rc1_waybel_3,axiom,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& connected_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_waybel_3) ).
fof(rc1_lattice3,axiom,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& complete_relstr(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_lattice3) ).
fof(rc13_waybel_0,axiom,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc13_waybel_0) ).
fof(rc12_waybel_0,axiom,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& connected_relstr(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc12_waybel_0) ).
fof(t2_yellow_1,axiom,
! [X1,X2] :
( element(X2,the_carrier(boole_POSet(X1)))
=> ! [X3] :
( element(X3,the_carrier(boole_POSet(X1)))
=> ( related_reflexive(boole_POSet(X1),X2,X3)
<=> subset(X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_yellow_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
<=> relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(free_g1_orders_2,axiom,
! [X1,X2] :
( relation_of2(X2,X1,X1)
=> ! [X3,X4] :
( rel_str_of(X1,X2) = rel_str_of(X3,X4)
=> ( X1 = X3
& X2 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(dt_g1_orders_2,axiom,
! [X1,X2] :
( relation_of2(X2,X1,X1)
=> ( strict_rel_str(rel_str_of(X1,X2))
& rel_str(rel_str_of(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g1_orders_2) ).
fof(existence_m2_relset_1,axiom,
! [X1,X2] :
? [X3] : relation_of2_as_subset(X3,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(existence_m1_relset_1,axiom,
! [X1,X2] :
? [X3] : relation_of2(X3,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(dt_u1_orders_2,axiom,
! [X1] :
( rel_str(X1)
=> relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(fc14_finset_1,axiom,
! [X1,X2] :
( ( finite(X1)
& finite(X2) )
=> finite(cartesian_product2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_finset_1) ).
fof(abstractness_v1_orders_2,axiom,
! [X1] :
( rel_str(X1)
=> ( strict_rel_str(X1)
=> X1 = rel_str_of(the_carrier(X1),the_InternalRel(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(cc5_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ( ( lower_bounded_relstr(X1)
& upper_bounded_relstr(X1) )
=> bounded_relstr(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_yellow_0) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(cc1_yellow_3,axiom,
! [X1] :
( rel_str(X1)
=> ( empty_carrier(X1)
=> v1_yellow_3(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow_3) ).
fof(cc4_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ( bounded_relstr(X1)
=> ( lower_bounded_relstr(X1)
& upper_bounded_relstr(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_yellow_0) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( rel_str(X1)
=> one_sorted_str(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(cc1_finset_1,axiom,
! [X1] :
( empty(X1)
=> finite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(dt_k3_yellow_1,axiom,
! [X1] :
( strict_rel_str(boole_POSet(X1))
& rel_str(boole_POSet(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(existence_l1_struct_0,axiom,
? [X1] : one_sorted_str(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(existence_l1_orders_2,axiom,
? [X1] : rel_str(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_orders_2) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_101,plain,
! [X1] :
( one_sorted_str(X1)
=> ? [X2] :
( element(X2,powerset(powerset(the_carrier(X1))))
& ~ empty(X2)
& finite(X2) ) ),
inference(fof_simplification,[status(thm)],[rc3_waybel_7]) ).
fof(i_0_102,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& connected_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ( directed_subset(X2,X1)
& filtered_subset(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_waybel_3]) ).
fof(i_0_103,plain,
! [X1] :
? [X2] :
( element(X2,powerset(powerset(X1)))
& ~ empty(X2)
& finite(X2) ),
inference(fof_simplification,[status(thm)],[rc2_waybel_7]) ).
fof(i_0_104,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& rel_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2)
& filtered_subset(X2,X1)
& upper_relstr_subset(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[rc10_waybel_0]) ).
fof(i_0_105,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& rel_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2)
& finite(X2)
& directed_subset(X2,X1)
& filtered_subset(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[rc2_waybel_0]) ).
fof(i_0_106,negated_conjecture,
~ ! [X1,X2] :
( element(X2,powerset(the_carrier(boole_POSet(X1))))
=> ( upper_relstr_subset(X2,boole_POSet(X1))
<=> ! [X3,X4] :
( ( subset(X3,X4)
& subset(X4,X1)
& in(X3,X2) )
=> in(X4,X2) ) ) ),
inference(assume_negation,[status(cth)],[t11_waybel_7]) ).
fof(i_0_107,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[rc5_struct_0]) ).
fof(i_0_108,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2)
& finite(X2) ) ),
inference(fof_simplification,[status(thm)],[rc4_finset_1]) ).
fof(i_0_109,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2)
& finite(X2) ) ),
inference(fof_simplification,[status(thm)],[rc3_finset_1]) ).
fof(i_0_110,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(i_0_111,plain,
! [X1] : ~ empty(powerset(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(i_0_112,plain,
! [X193,X194,X195,X196] :
( ( ~ upper_relstr_subset(X194,X193)
| ~ element(X195,the_carrier(X193))
| ~ element(X196,the_carrier(X193))
| ~ in(X195,X194)
| ~ related(X193,X195,X196)
| in(X196,X194)
| ~ element(X194,powerset(the_carrier(X193)))
| ~ rel_str(X193) )
& ( element(esk1_2(X193,X194),the_carrier(X193))
| upper_relstr_subset(X194,X193)
| ~ element(X194,powerset(the_carrier(X193)))
| ~ rel_str(X193) )
& ( element(esk2_2(X193,X194),the_carrier(X193))
| upper_relstr_subset(X194,X193)
| ~ element(X194,powerset(the_carrier(X193)))
| ~ rel_str(X193) )
& ( in(esk1_2(X193,X194),X194)
| upper_relstr_subset(X194,X193)
| ~ element(X194,powerset(the_carrier(X193)))
| ~ rel_str(X193) )
& ( related(X193,esk1_2(X193,X194),esk2_2(X193,X194))
| upper_relstr_subset(X194,X193)
| ~ element(X194,powerset(the_carrier(X193)))
| ~ rel_str(X193) )
& ( ~ in(esk2_2(X193,X194),X194)
| upper_relstr_subset(X194,X193)
| ~ element(X194,powerset(the_carrier(X193)))
| ~ rel_str(X193) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d20_waybel_0])])])])]) ).
fof(i_0_113,plain,
! [X299] : the_carrier(boole_POSet(X299)) = powerset(X299),
inference(variable_rename,[status(thm)],[t4_waybel_7]) ).
fof(i_0_114,plain,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& rel_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> ( related_reflexive(X1,X2,X3)
<=> related(X1,X2,X3) ) ),
inference(fof_simplification,[status(thm)],[redefinition_r3_orders_2]) ).
fof(i_0_115,plain,
! [X203,X204,X205] :
( ~ relation_of2_as_subset(X205,X203,X204)
| element(X205,powerset(cartesian_product2(X203,X204))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(i_0_116,plain,
! [X263] :
( ( element(esk30_1(X263),powerset(powerset(the_carrier(X263))))
| ~ one_sorted_str(X263) )
& ( ~ empty(esk30_1(X263))
| ~ one_sorted_str(X263) )
& ( finite(esk30_1(X263))
| ~ one_sorted_str(X263) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_101])])])]) ).
fof(i_0_117,plain,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& rel_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> related_reflexive(X1,X2,X2) ),
inference(fof_simplification,[status(thm)],[reflexivity_r3_orders_2]) ).
fof(i_0_118,plain,
! [X166,X167] :
( ( directed_subset(X167,X166)
| ~ element(X167,powerset(the_carrier(X166)))
| empty_carrier(X166)
| ~ connected_relstr(X166)
| ~ rel_str(X166) )
& ( filtered_subset(X167,X166)
| ~ element(X167,powerset(the_carrier(X166)))
| empty_carrier(X166)
| ~ connected_relstr(X166)
| ~ rel_str(X166) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_102])])])]) ).
fof(i_0_119,plain,
! [X256] :
( element(esk25_1(X256),powerset(powerset(X256)))
& ~ empty(esk25_1(X256))
& finite(esk25_1(X256)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_103])]) ).
fof(i_0_120,plain,
! [X234] :
( ( element(esk8_1(X234),powerset(the_carrier(X234)))
| empty_carrier(X234)
| ~ reflexive_relstr(X234)
| ~ transitive_relstr(X234)
| ~ rel_str(X234) )
& ( ~ empty(esk8_1(X234))
| empty_carrier(X234)
| ~ reflexive_relstr(X234)
| ~ transitive_relstr(X234)
| ~ rel_str(X234) )
& ( filtered_subset(esk8_1(X234),X234)
| empty_carrier(X234)
| ~ reflexive_relstr(X234)
| ~ transitive_relstr(X234)
| ~ rel_str(X234) )
& ( upper_relstr_subset(esk8_1(X234),X234)
| empty_carrier(X234)
| ~ reflexive_relstr(X234)
| ~ transitive_relstr(X234)
| ~ rel_str(X234) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_104])])])]) ).
fof(i_0_121,plain,
! [X296,X297,X298] :
( ~ in(X296,X297)
| ~ element(X297,powerset(X298))
| element(X296,X298) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_122,plain,
! [X253] :
( ( element(esk23_1(X253),powerset(the_carrier(X253)))
| empty_carrier(X253)
| ~ reflexive_relstr(X253)
| ~ rel_str(X253) )
& ( ~ empty(esk23_1(X253))
| empty_carrier(X253)
| ~ reflexive_relstr(X253)
| ~ rel_str(X253) )
& ( finite(esk23_1(X253))
| empty_carrier(X253)
| ~ reflexive_relstr(X253)
| ~ rel_str(X253) )
& ( directed_subset(esk23_1(X253),X253)
| empty_carrier(X253)
| ~ reflexive_relstr(X253)
| ~ rel_str(X253) )
& ( filtered_subset(esk23_1(X253),X253)
| empty_carrier(X253)
| ~ reflexive_relstr(X253)
| ~ rel_str(X253) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_105])])])]) ).
fof(i_0_123,plain,
! [X300,X301,X302] :
( ~ in(X300,X301)
| ~ element(X301,powerset(X302))
| ~ empty(X302) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_124,negated_conjecture,
! [X285,X286] :
( element(esk36_0,powerset(the_carrier(boole_POSet(esk35_0))))
& ( subset(esk37_0,esk38_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) )
& ( subset(esk38_0,esk35_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) )
& ( in(esk37_0,esk36_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) )
& ( ~ in(esk38_0,esk36_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) )
& ( upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| ~ subset(X285,X286)
| ~ subset(X286,esk35_0)
| ~ in(X285,esk36_0)
| in(X286,esk36_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_106])])])])]) ).
fof(i_0_125,plain,
! [X268] :
( ( element(esk33_1(X268),powerset(the_carrier(X268)))
| empty_carrier(X268)
| ~ one_sorted_str(X268) )
& ( ~ empty(esk33_1(X268))
| empty_carrier(X268)
| ~ one_sorted_str(X268) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_107])])])]) ).
fof(i_0_126,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& bounded_relstr(X1)
& distributive_relstr(X1)
& complemented_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& distributive_relstr(X1)
& complemented_relstr(X1)
& boolean_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc9_waybel_1]) ).
fof(i_0_127,plain,
! [X242] :
( ( element(esk14_1(X242),powerset(the_carrier(X242)))
| ~ rel_str(X242) )
& ( directed_subset(esk14_1(X242),X242)
| ~ rel_str(X242) )
& ( filtered_subset(esk14_1(X242),X242)
| ~ rel_str(X242) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc1_waybel_0])])])]) ).
fof(i_0_128,plain,
! [X294,X295] :
( ( ~ element(X294,powerset(X295))
| subset(X294,X295) )
& ( ~ subset(X294,X295)
| element(X294,powerset(X295)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_129,plain,
! [X1] :
( rel_str(X1)
=> ( ( reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& v3_waybel_3(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1)
& ~ v1_yellow_3(X1)
& v1_waybel_2(X1)
& v2_waybel_2(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc4_waybel_4]) ).
fof(i_0_130,plain,
! [X1] :
( rel_str(X1)
=> ( ( reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& lower_bounded_relstr(X1)
& up_complete_relstr(X1)
& v2_waybel_3(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& lower_bounded_relstr(X1)
& v3_waybel_3(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc5_waybel_3]) ).
fof(i_0_131,plain,
! [X171,X172] :
( ~ finite(X171)
| ~ element(X172,powerset(X171))
| finite(X172) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_finset_1])])]) ).
fof(i_0_132,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& connected_relstr(X1)
& up_complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& connected_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc2_waybel_3]) ).
fof(i_0_133,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& lower_bounded_relstr(X1)
& up_complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc12_waybel_0]) ).
fof(i_0_134,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& upper_bounded_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_yellow_2]) ).
fof(i_0_135,plain,
! [X1,X2] :
( ( ~ empty(X1)
& ~ empty(X2) )
=> ~ empty(cartesian_product2(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc4_subset_1]) ).
fof(i_0_136,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& complete_relstr(X1)
& connected_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& connected_relstr(X1)
& v2_waybel_3(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc6_waybel_3]) ).
fof(i_0_137,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_138,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& antisymmetric_relstr(X1)
& upper_bounded_relstr(X1)
& join_complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& upper_bounded_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc14_waybel_0]) ).
fof(i_0_139,plain,
! [X265] :
( ( element(esk31_1(X265),powerset(X265))
| empty(X265) )
& ( ~ empty(esk31_1(X265))
| empty(X265) )
& ( finite(esk31_1(X265))
| empty(X265) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_108])])])]) ).
fof(i_0_140,plain,
! [X260] :
( ( element(esk28_1(X260),powerset(X260))
| empty(X260) )
& ( ~ empty(esk28_1(X260))
| empty(X260) )
& ( finite(esk28_1(X260))
| empty(X260) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_109])])])]) ).
fof(i_0_141,plain,
! [X240] :
( ( element(esk13_1(X240),powerset(X240))
| empty(X240) )
& ( ~ empty(esk13_1(X240))
| empty(X240) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_110])])])]) ).
fof(i_0_142,plain,
! [X251] :
( element(esk22_1(X251),powerset(X251))
& empty(esk22_1(X251)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(i_0_143,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& antisymmetric_relstr(X1)
& join_complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& antisymmetric_relstr(X1)
& with_infima_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc13_waybel_0]) ).
fof(i_0_144,plain,
! [X1] :
( rel_str(X1)
=> ( ( reflexive_relstr(X1)
& with_suprema_relstr(X1)
& up_complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& with_suprema_relstr(X1)
& upper_bounded_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc9_waybel_0]) ).
fof(i_0_145,plain,
! [X221] : ~ empty(powerset(X221)),
inference(variable_rename,[status(thm)],[i_0_111]) ).
fof(i_0_146,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& v3_waybel_3(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& up_complete_relstr(X1)
& v2_waybel_3(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc4_waybel_3]) ).
fof(i_0_147,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& trivial_carrier(X1)
& reflexive_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& v2_waybel_3(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc3_waybel_3]) ).
fof(i_0_148,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& trivial_carrier(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& connected_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc5_waybel_0]) ).
fof(i_0_149,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& join_complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& lower_bounded_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc11_waybel_0]) ).
fof(i_0_150,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& trivial_carrier(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& complete_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc2_yellow_0]) ).
fof(i_0_151,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc10_waybel_0]) ).
fof(i_0_152,plain,
! [X1] :
( ( ~ v1_yellow_3(X1)
& rel_str(X1) )
=> ( ~ empty(the_InternalRel(X1))
& relation(the_InternalRel(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc13_yellow_3]) ).
fof(i_0_153,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(i_0_154,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1) )
=> ( ~ empty_carrier(X1)
& ~ v1_yellow_3(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc3_yellow_3]) ).
fof(i_0_155,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& boolean_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& distributive_relstr(X1)
& complemented_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc8_waybel_1]) ).
fof(i_0_156,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& bounded_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc3_yellow_0]) ).
fof(i_0_157,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& boolean_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& upper_bounded_relstr(X1)
& distributive_relstr(X1)
& heyting_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc10_waybel_1]) ).
fof(i_0_158,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& heyting_relstr(X1) )
=> ( ~ empty_carrier(X1)
& distributive_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc6_waybel_1]) ).
fof(i_0_159,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& heyting_relstr(X1) )
=> ( ~ empty_carrier(X1)
& upper_bounded_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc7_waybel_1]) ).
fof(i_0_160,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& heyting_relstr(X1) )
=> ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc5_waybel_1]) ).
fof(i_0_161,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& complete_relstr(X1) )
=> ( ~ empty_carrier(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_yellow_0]) ).
fof(i_0_162,plain,
! [X1] :
( rel_str(X1)
=> ( with_infima_relstr(X1)
=> ~ empty_carrier(X1) ) ),
inference(fof_simplification,[status(thm)],[cc2_lattice3]) ).
fof(i_0_163,plain,
! [X1] :
( rel_str(X1)
=> ( with_suprema_relstr(X1)
=> ~ empty_carrier(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(i_0_164,plain,
! [X1] :
( ~ empty(X1)
=> ( ~ empty_carrier(boole_POSet(X1))
& ~ trivial_carrier(boole_POSet(X1))
& strict_rel_str(boole_POSet(X1))
& reflexive_relstr(boole_POSet(X1))
& transitive_relstr(boole_POSet(X1))
& antisymmetric_relstr(boole_POSet(X1))
& lower_bounded_relstr(boole_POSet(X1))
& upper_bounded_relstr(boole_POSet(X1))
& bounded_relstr(boole_POSet(X1))
& up_complete_relstr(boole_POSet(X1))
& join_complete_relstr(boole_POSet(X1))
& ~ v1_yellow_3(boole_POSet(X1))
& distributive_relstr(boole_POSet(X1))
& heyting_relstr(boole_POSet(X1))
& complemented_relstr(boole_POSet(X1))
& boolean_relstr(boole_POSet(X1))
& with_suprema_relstr(boole_POSet(X1))
& with_infima_relstr(boole_POSet(X1))
& complete_relstr(boole_POSet(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc2_waybel_7]) ).
fof(i_0_165,plain,
! [X1] :
( rel_str(X1)
=> ( ~ v1_yellow_3(X1)
=> ~ empty_carrier(X1) ) ),
inference(fof_simplification,[status(thm)],[cc2_yellow_3]) ).
fof(i_0_166,plain,
! [X1] :
( ~ empty_carrier(boole_POSet(X1))
& strict_rel_str(boole_POSet(X1))
& reflexive_relstr(boole_POSet(X1))
& transitive_relstr(boole_POSet(X1))
& antisymmetric_relstr(boole_POSet(X1))
& lower_bounded_relstr(boole_POSet(X1))
& upper_bounded_relstr(boole_POSet(X1))
& bounded_relstr(boole_POSet(X1))
& up_complete_relstr(boole_POSet(X1))
& join_complete_relstr(boole_POSet(X1))
& ~ v1_yellow_3(boole_POSet(X1))
& distributive_relstr(boole_POSet(X1))
& heyting_relstr(boole_POSet(X1))
& complemented_relstr(boole_POSet(X1))
& boolean_relstr(boole_POSet(X1))
& with_suprema_relstr(boole_POSet(X1))
& with_infima_relstr(boole_POSet(X1))
& complete_relstr(boole_POSet(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_waybel_7]) ).
fof(i_0_167,plain,
! [X1] :
( ~ empty_carrier(boole_POSet(X1))
& strict_rel_str(boole_POSet(X1))
& reflexive_relstr(boole_POSet(X1))
& transitive_relstr(boole_POSet(X1))
& antisymmetric_relstr(boole_POSet(X1))
& with_suprema_relstr(boole_POSet(X1))
& with_infima_relstr(boole_POSet(X1))
& complete_relstr(boole_POSet(X1))
& lower_bounded_relstr(boole_POSet(X1))
& upper_bounded_relstr(boole_POSet(X1))
& bounded_relstr(boole_POSet(X1))
& up_complete_relstr(boole_POSet(X1))
& join_complete_relstr(boole_POSet(X1))
& distributive_relstr(boole_POSet(X1))
& complemented_relstr(boole_POSet(X1)) ),
inference(fof_simplification,[status(thm)],[fc9_waybel_1]) ).
fof(i_0_168,plain,
! [X1] :
( ~ empty_carrier(boole_POSet(X1))
& strict_rel_str(boole_POSet(X1))
& reflexive_relstr(boole_POSet(X1))
& transitive_relstr(boole_POSet(X1))
& antisymmetric_relstr(boole_POSet(X1))
& lower_bounded_relstr(boole_POSet(X1))
& upper_bounded_relstr(boole_POSet(X1))
& bounded_relstr(boole_POSet(X1))
& with_suprema_relstr(boole_POSet(X1))
& with_infima_relstr(boole_POSet(X1))
& complete_relstr(boole_POSet(X1)) ),
inference(fof_simplification,[status(thm)],[fc8_yellow_1]) ).
fof(i_0_169,plain,
! [X1] :
( ~ empty_carrier(boole_POSet(X1))
& strict_rel_str(boole_POSet(X1))
& reflexive_relstr(boole_POSet(X1))
& transitive_relstr(boole_POSet(X1))
& antisymmetric_relstr(boole_POSet(X1)) ),
inference(fof_simplification,[status(thm)],[fc7_yellow_1]) ).
fof(i_0_170,plain,
! [X1] :
( ~ empty_carrier(boole_POSet(X1))
& strict_rel_str(boole_POSet(X1))
& reflexive_relstr(boole_POSet(X1))
& transitive_relstr(boole_POSet(X1))
& antisymmetric_relstr(boole_POSet(X1))
& with_suprema_relstr(boole_POSet(X1))
& with_infima_relstr(boole_POSet(X1))
& complete_relstr(boole_POSet(X1))
& lower_bounded_relstr(boole_POSet(X1))
& upper_bounded_relstr(boole_POSet(X1))
& bounded_relstr(boole_POSet(X1))
& up_complete_relstr(boole_POSet(X1))
& join_complete_relstr(boole_POSet(X1))
& distributive_relstr(boole_POSet(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_waybel_1]) ).
fof(i_0_171,plain,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& ~ trivial_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& ~ v1_yellow_3(X1)
& distributive_relstr(X1)
& heyting_relstr(X1)
& complemented_relstr(X1)
& boolean_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1) ),
inference(fof_simplification,[status(thm)],[rc1_waybel_7]) ).
fof(i_0_172,plain,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& ~ v1_yellow_3(X1) ),
inference(fof_simplification,[status(thm)],[rc1_yellow_3]) ).
fof(i_0_173,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_174,plain,
? [X1] :
( ~ empty(X1)
& finite(X1) ),
inference(fof_simplification,[status(thm)],[rc1_finset_1]) ).
fof(i_0_175,plain,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& upper_bounded_relstr(X1)
& distributive_relstr(X1)
& heyting_relstr(X1) ),
inference(fof_simplification,[status(thm)],[rc5_waybel_1]) ).
fof(i_0_176,plain,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& distributive_relstr(X1)
& heyting_relstr(X1)
& complemented_relstr(X1)
& boolean_relstr(X1) ),
inference(fof_simplification,[status(thm)],[rc4_waybel_1]) ).
fof(i_0_177,plain,
? [X1] :
( one_sorted_str(X1)
& ~ empty_carrier(X1) ),
inference(fof_simplification,[status(thm)],[rc3_struct_0]) ).
fof(i_0_178,plain,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1) ),
inference(fof_simplification,[status(thm)],[rc2_yellow_0]) ).
fof(i_0_179,plain,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1)
& v2_waybel_3(X1)
& v3_waybel_3(X1) ),
inference(fof_simplification,[status(thm)],[rc2_waybel_3]) ).
fof(i_0_180,plain,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1) ),
inference(fof_simplification,[status(thm)],[rc2_lattice3]) ).
fof(i_0_181,plain,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1)
& trivial_carrier(X1) ),
inference(fof_simplification,[status(thm)],[rc1_yellow_0]) ).
fof(i_0_182,plain,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1)
& distributive_relstr(X1)
& v2_waybel_3(X1)
& v3_waybel_3(X1) ),
inference(fof_simplification,[status(thm)],[rc1_waybel_6]) ).
fof(i_0_183,plain,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& connected_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1) ),
inference(fof_simplification,[status(thm)],[rc1_waybel_3]) ).
fof(i_0_184,plain,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& complete_relstr(X1) ),
inference(fof_simplification,[status(thm)],[rc1_lattice3]) ).
fof(i_0_185,plain,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& strict_rel_str(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& with_suprema_relstr(X1)
& with_infima_relstr(X1)
& complete_relstr(X1)
& lower_bounded_relstr(X1)
& upper_bounded_relstr(X1)
& bounded_relstr(X1)
& up_complete_relstr(X1)
& join_complete_relstr(X1) ),
inference(fof_simplification,[status(thm)],[rc13_waybel_0]) ).
fof(i_0_186,plain,
? [X1] :
( rel_str(X1)
& ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& connected_relstr(X1) ),
inference(fof_simplification,[status(thm)],[rc12_waybel_0]) ).
cnf(i_0_187,plain,
( in(X4,X1)
| ~ upper_relstr_subset(X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ element(X4,the_carrier(X2))
| ~ in(X3,X1)
| ~ related(X2,X3,X4)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ rel_str(X2) ),
inference(split_conjunct,[status(thm)],[i_0_112]) ).
cnf(i_0_188,plain,
the_carrier(boole_POSet(X1)) = powerset(X1),
inference(split_conjunct,[status(thm)],[i_0_113]) ).
fof(i_0_189,plain,
! [X274,X275,X276] :
( ( ~ related_reflexive(X274,X275,X276)
| related(X274,X275,X276)
| empty_carrier(X274)
| ~ reflexive_relstr(X274)
| ~ rel_str(X274)
| ~ element(X275,the_carrier(X274))
| ~ element(X276,the_carrier(X274)) )
& ( ~ related(X274,X275,X276)
| related_reflexive(X274,X275,X276)
| empty_carrier(X274)
| ~ reflexive_relstr(X274)
| ~ rel_str(X274)
| ~ element(X275,the_carrier(X274))
| ~ element(X276,the_carrier(X274)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_114])])]) ).
cnf(i_0_190,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_115]) ).
cnf(i_0_191,plain,
( related(X1,esk1_2(X1,X2),esk2_2(X1,X2))
| upper_relstr_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_112]) ).
cnf(i_0_192,plain,
( element(esk30_1(X1),powerset(powerset(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_116]) ).
fof(i_0_193,plain,
! [X291,X292,X293] :
( ( ~ related_reflexive(boole_POSet(X291),X292,X293)
| subset(X292,X293)
| ~ element(X293,the_carrier(boole_POSet(X291)))
| ~ element(X292,the_carrier(boole_POSet(X291))) )
& ( ~ subset(X292,X293)
| related_reflexive(boole_POSet(X291),X292,X293)
| ~ element(X293,the_carrier(boole_POSet(X291)))
| ~ element(X292,the_carrier(boole_POSet(X291))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_yellow_1])])])]) ).
cnf(i_0_194,plain,
( upper_relstr_subset(X2,X1)
| ~ in(esk2_2(X1,X2),X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_112]) ).
cnf(i_0_195,plain,
( element(esk2_2(X1,X2),the_carrier(X1))
| upper_relstr_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_112]) ).
cnf(i_0_196,plain,
( element(esk1_2(X1,X2),the_carrier(X1))
| upper_relstr_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_112]) ).
cnf(i_0_197,plain,
( in(esk1_2(X1,X2),X2)
| upper_relstr_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_112]) ).
fof(i_0_198,plain,
! [X271,X272,X273] :
( ( ~ relation_of2_as_subset(X273,X271,X272)
| relation_of2(X273,X271,X272) )
& ( ~ relation_of2(X273,X271,X272)
| relation_of2_as_subset(X273,X271,X272) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(i_0_199,plain,
! [X278,X279,X280] :
( empty_carrier(X278)
| ~ reflexive_relstr(X278)
| ~ rel_str(X278)
| ~ element(X279,the_carrier(X278))
| ~ element(X280,the_carrier(X278))
| related_reflexive(X278,X279,X279) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_117])]) ).
fof(i_0_200,plain,
! [X230,X231,X232,X233] :
( ( X230 = X232
| rel_str_of(X230,X231) != rel_str_of(X232,X233)
| ~ relation_of2(X231,X230,X230) )
& ( X231 = X233
| rel_str_of(X230,X231) != rel_str_of(X232,X233)
| ~ relation_of2(X231,X230,X230) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_orders_2])])])]) ).
cnf(i_0_201,plain,
( filtered_subset(X1,X2)
| empty_carrier(X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ connected_relstr(X2)
| ~ rel_str(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]) ).
cnf(i_0_202,plain,
( directed_subset(X1,X2)
| empty_carrier(X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ connected_relstr(X2)
| ~ rel_str(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]) ).
fof(i_0_203,plain,
! [X199,X200] :
( ( strict_rel_str(rel_str_of(X199,X200))
| ~ relation_of2(X200,X199,X199) )
& ( rel_str(rel_str_of(X199,X200))
| ~ relation_of2(X200,X199,X199) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g1_orders_2])])]) ).
cnf(i_0_204,plain,
element(esk25_1(X1),powerset(powerset(X1))),
inference(split_conjunct,[status(thm)],[i_0_119]) ).
cnf(i_0_205,plain,
( element(esk8_1(X1),powerset(the_carrier(X1)))
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_120]) ).
cnf(i_0_206,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_121]) ).
cnf(i_0_207,plain,
( element(esk23_1(X1),powerset(the_carrier(X1)))
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]) ).
cnf(i_0_208,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]) ).
fof(i_0_209,plain,
! [X214,X215] : relation_of2_as_subset(esk7_2(X214,X215),X214,X215),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m2_relset_1])]) ).
fof(i_0_210,plain,
! [X209,X210] : relation_of2(esk5_2(X209,X210),X209,X210),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_relset_1])]) ).
fof(i_0_211,plain,
! [X206] :
( ~ rel_str(X206)
| relation_of2_as_subset(the_InternalRel(X206),the_carrier(X206),the_carrier(X206)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_orders_2])]) ).
cnf(i_0_212,negated_conjecture,
element(esk36_0,powerset(the_carrier(boole_POSet(esk35_0)))),
inference(split_conjunct,[status(thm)],[i_0_124]) ).
cnf(i_0_213,plain,
( element(esk33_1(X1),powerset(the_carrier(X1)))
| empty_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_125]) ).
fof(i_0_214,plain,
! [X192] :
( ( ~ empty_carrier(X192)
| empty_carrier(X192)
| ~ reflexive_relstr(X192)
| ~ transitive_relstr(X192)
| ~ antisymmetric_relstr(X192)
| ~ with_suprema_relstr(X192)
| ~ with_infima_relstr(X192)
| ~ bounded_relstr(X192)
| ~ distributive_relstr(X192)
| ~ complemented_relstr(X192)
| ~ rel_str(X192) )
& ( reflexive_relstr(X192)
| empty_carrier(X192)
| ~ reflexive_relstr(X192)
| ~ transitive_relstr(X192)
| ~ antisymmetric_relstr(X192)
| ~ with_suprema_relstr(X192)
| ~ with_infima_relstr(X192)
| ~ bounded_relstr(X192)
| ~ distributive_relstr(X192)
| ~ complemented_relstr(X192)
| ~ rel_str(X192) )
& ( transitive_relstr(X192)
| empty_carrier(X192)
| ~ reflexive_relstr(X192)
| ~ transitive_relstr(X192)
| ~ antisymmetric_relstr(X192)
| ~ with_suprema_relstr(X192)
| ~ with_infima_relstr(X192)
| ~ bounded_relstr(X192)
| ~ distributive_relstr(X192)
| ~ complemented_relstr(X192)
| ~ rel_str(X192) )
& ( antisymmetric_relstr(X192)
| empty_carrier(X192)
| ~ reflexive_relstr(X192)
| ~ transitive_relstr(X192)
| ~ antisymmetric_relstr(X192)
| ~ with_suprema_relstr(X192)
| ~ with_infima_relstr(X192)
| ~ bounded_relstr(X192)
| ~ distributive_relstr(X192)
| ~ complemented_relstr(X192)
| ~ rel_str(X192) )
& ( with_suprema_relstr(X192)
| empty_carrier(X192)
| ~ reflexive_relstr(X192)
| ~ transitive_relstr(X192)
| ~ antisymmetric_relstr(X192)
| ~ with_suprema_relstr(X192)
| ~ with_infima_relstr(X192)
| ~ bounded_relstr(X192)
| ~ distributive_relstr(X192)
| ~ complemented_relstr(X192)
| ~ rel_str(X192) )
& ( with_infima_relstr(X192)
| empty_carrier(X192)
| ~ reflexive_relstr(X192)
| ~ transitive_relstr(X192)
| ~ antisymmetric_relstr(X192)
| ~ with_suprema_relstr(X192)
| ~ with_infima_relstr(X192)
| ~ bounded_relstr(X192)
| ~ distributive_relstr(X192)
| ~ complemented_relstr(X192)
| ~ rel_str(X192) )
& ( lower_bounded_relstr(X192)
| empty_carrier(X192)
| ~ reflexive_relstr(X192)
| ~ transitive_relstr(X192)
| ~ antisymmetric_relstr(X192)
| ~ with_suprema_relstr(X192)
| ~ with_infima_relstr(X192)
| ~ bounded_relstr(X192)
| ~ distributive_relstr(X192)
| ~ complemented_relstr(X192)
| ~ rel_str(X192) )
& ( upper_bounded_relstr(X192)
| empty_carrier(X192)
| ~ reflexive_relstr(X192)
| ~ transitive_relstr(X192)
| ~ antisymmetric_relstr(X192)
| ~ with_suprema_relstr(X192)
| ~ with_infima_relstr(X192)
| ~ bounded_relstr(X192)
| ~ distributive_relstr(X192)
| ~ complemented_relstr(X192)
| ~ rel_str(X192) )
& ( bounded_relstr(X192)
| empty_carrier(X192)
| ~ reflexive_relstr(X192)
| ~ transitive_relstr(X192)
| ~ antisymmetric_relstr(X192)
| ~ with_suprema_relstr(X192)
| ~ with_infima_relstr(X192)
| ~ bounded_relstr(X192)
| ~ distributive_relstr(X192)
| ~ complemented_relstr(X192)
| ~ rel_str(X192) )
& ( distributive_relstr(X192)
| empty_carrier(X192)
| ~ reflexive_relstr(X192)
| ~ transitive_relstr(X192)
| ~ antisymmetric_relstr(X192)
| ~ with_suprema_relstr(X192)
| ~ with_infima_relstr(X192)
| ~ bounded_relstr(X192)
| ~ distributive_relstr(X192)
| ~ complemented_relstr(X192)
| ~ rel_str(X192) )
& ( complemented_relstr(X192)
| empty_carrier(X192)
| ~ reflexive_relstr(X192)
| ~ transitive_relstr(X192)
| ~ antisymmetric_relstr(X192)
| ~ with_suprema_relstr(X192)
| ~ with_infima_relstr(X192)
| ~ bounded_relstr(X192)
| ~ distributive_relstr(X192)
| ~ complemented_relstr(X192)
| ~ rel_str(X192) )
& ( boolean_relstr(X192)
| empty_carrier(X192)
| ~ reflexive_relstr(X192)
| ~ transitive_relstr(X192)
| ~ antisymmetric_relstr(X192)
| ~ with_suprema_relstr(X192)
| ~ with_infima_relstr(X192)
| ~ bounded_relstr(X192)
| ~ distributive_relstr(X192)
| ~ complemented_relstr(X192)
| ~ rel_str(X192) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_126])])]) ).
cnf(i_0_215,plain,
( element(esk14_1(X1),powerset(the_carrier(X1)))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_127]) ).
cnf(i_0_216,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_128]) ).
fof(i_0_217,plain,
! [X181] :
( ( ~ empty_carrier(X181)
| ~ reflexive_relstr(X181)
| ~ transitive_relstr(X181)
| ~ antisymmetric_relstr(X181)
| ~ lower_bounded_relstr(X181)
| ~ v3_waybel_3(X181)
| ~ with_suprema_relstr(X181)
| ~ with_infima_relstr(X181)
| ~ rel_str(X181) )
& ( reflexive_relstr(X181)
| ~ reflexive_relstr(X181)
| ~ transitive_relstr(X181)
| ~ antisymmetric_relstr(X181)
| ~ lower_bounded_relstr(X181)
| ~ v3_waybel_3(X181)
| ~ with_suprema_relstr(X181)
| ~ with_infima_relstr(X181)
| ~ rel_str(X181) )
& ( transitive_relstr(X181)
| ~ reflexive_relstr(X181)
| ~ transitive_relstr(X181)
| ~ antisymmetric_relstr(X181)
| ~ lower_bounded_relstr(X181)
| ~ v3_waybel_3(X181)
| ~ with_suprema_relstr(X181)
| ~ with_infima_relstr(X181)
| ~ rel_str(X181) )
& ( antisymmetric_relstr(X181)
| ~ reflexive_relstr(X181)
| ~ transitive_relstr(X181)
| ~ antisymmetric_relstr(X181)
| ~ lower_bounded_relstr(X181)
| ~ v3_waybel_3(X181)
| ~ with_suprema_relstr(X181)
| ~ with_infima_relstr(X181)
| ~ rel_str(X181) )
& ( lower_bounded_relstr(X181)
| ~ reflexive_relstr(X181)
| ~ transitive_relstr(X181)
| ~ antisymmetric_relstr(X181)
| ~ lower_bounded_relstr(X181)
| ~ v3_waybel_3(X181)
| ~ with_suprema_relstr(X181)
| ~ with_infima_relstr(X181)
| ~ rel_str(X181) )
& ( upper_bounded_relstr(X181)
| ~ reflexive_relstr(X181)
| ~ transitive_relstr(X181)
| ~ antisymmetric_relstr(X181)
| ~ lower_bounded_relstr(X181)
| ~ v3_waybel_3(X181)
| ~ with_suprema_relstr(X181)
| ~ with_infima_relstr(X181)
| ~ rel_str(X181) )
& ( bounded_relstr(X181)
| ~ reflexive_relstr(X181)
| ~ transitive_relstr(X181)
| ~ antisymmetric_relstr(X181)
| ~ lower_bounded_relstr(X181)
| ~ v3_waybel_3(X181)
| ~ with_suprema_relstr(X181)
| ~ with_infima_relstr(X181)
| ~ rel_str(X181) )
& ( up_complete_relstr(X181)
| ~ reflexive_relstr(X181)
| ~ transitive_relstr(X181)
| ~ antisymmetric_relstr(X181)
| ~ lower_bounded_relstr(X181)
| ~ v3_waybel_3(X181)
| ~ with_suprema_relstr(X181)
| ~ with_infima_relstr(X181)
| ~ rel_str(X181) )
& ( join_complete_relstr(X181)
| ~ reflexive_relstr(X181)
| ~ transitive_relstr(X181)
| ~ antisymmetric_relstr(X181)
| ~ lower_bounded_relstr(X181)
| ~ v3_waybel_3(X181)
| ~ with_suprema_relstr(X181)
| ~ with_infima_relstr(X181)
| ~ rel_str(X181) )
& ( ~ v1_yellow_3(X181)
| ~ reflexive_relstr(X181)
| ~ transitive_relstr(X181)
| ~ antisymmetric_relstr(X181)
| ~ lower_bounded_relstr(X181)
| ~ v3_waybel_3(X181)
| ~ with_suprema_relstr(X181)
| ~ with_infima_relstr(X181)
| ~ rel_str(X181) )
& ( v1_waybel_2(X181)
| ~ reflexive_relstr(X181)
| ~ transitive_relstr(X181)
| ~ antisymmetric_relstr(X181)
| ~ lower_bounded_relstr(X181)
| ~ v3_waybel_3(X181)
| ~ with_suprema_relstr(X181)
| ~ with_infima_relstr(X181)
| ~ rel_str(X181) )
& ( v2_waybel_2(X181)
| ~ reflexive_relstr(X181)
| ~ transitive_relstr(X181)
| ~ antisymmetric_relstr(X181)
| ~ lower_bounded_relstr(X181)
| ~ v3_waybel_3(X181)
| ~ with_suprema_relstr(X181)
| ~ with_infima_relstr(X181)
| ~ rel_str(X181) )
& ( with_suprema_relstr(X181)
| ~ reflexive_relstr(X181)
| ~ transitive_relstr(X181)
| ~ antisymmetric_relstr(X181)
| ~ lower_bounded_relstr(X181)
| ~ v3_waybel_3(X181)
| ~ with_suprema_relstr(X181)
| ~ with_infima_relstr(X181)
| ~ rel_str(X181) )
& ( with_infima_relstr(X181)
| ~ reflexive_relstr(X181)
| ~ transitive_relstr(X181)
| ~ antisymmetric_relstr(X181)
| ~ lower_bounded_relstr(X181)
| ~ v3_waybel_3(X181)
| ~ with_suprema_relstr(X181)
| ~ with_infima_relstr(X181)
| ~ rel_str(X181) )
& ( complete_relstr(X181)
| ~ reflexive_relstr(X181)
| ~ transitive_relstr(X181)
| ~ antisymmetric_relstr(X181)
| ~ lower_bounded_relstr(X181)
| ~ v3_waybel_3(X181)
| ~ with_suprema_relstr(X181)
| ~ with_infima_relstr(X181)
| ~ rel_str(X181) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_129])])]) ).
fof(i_0_218,plain,
! [X185] :
( ( ~ empty_carrier(X185)
| ~ reflexive_relstr(X185)
| ~ transitive_relstr(X185)
| ~ antisymmetric_relstr(X185)
| ~ with_suprema_relstr(X185)
| ~ lower_bounded_relstr(X185)
| ~ up_complete_relstr(X185)
| ~ v2_waybel_3(X185)
| ~ rel_str(X185) )
& ( reflexive_relstr(X185)
| ~ reflexive_relstr(X185)
| ~ transitive_relstr(X185)
| ~ antisymmetric_relstr(X185)
| ~ with_suprema_relstr(X185)
| ~ lower_bounded_relstr(X185)
| ~ up_complete_relstr(X185)
| ~ v2_waybel_3(X185)
| ~ rel_str(X185) )
& ( transitive_relstr(X185)
| ~ reflexive_relstr(X185)
| ~ transitive_relstr(X185)
| ~ antisymmetric_relstr(X185)
| ~ with_suprema_relstr(X185)
| ~ lower_bounded_relstr(X185)
| ~ up_complete_relstr(X185)
| ~ v2_waybel_3(X185)
| ~ rel_str(X185) )
& ( antisymmetric_relstr(X185)
| ~ reflexive_relstr(X185)
| ~ transitive_relstr(X185)
| ~ antisymmetric_relstr(X185)
| ~ with_suprema_relstr(X185)
| ~ lower_bounded_relstr(X185)
| ~ up_complete_relstr(X185)
| ~ v2_waybel_3(X185)
| ~ rel_str(X185) )
& ( with_suprema_relstr(X185)
| ~ reflexive_relstr(X185)
| ~ transitive_relstr(X185)
| ~ antisymmetric_relstr(X185)
| ~ with_suprema_relstr(X185)
| ~ lower_bounded_relstr(X185)
| ~ up_complete_relstr(X185)
| ~ v2_waybel_3(X185)
| ~ rel_str(X185) )
& ( lower_bounded_relstr(X185)
| ~ reflexive_relstr(X185)
| ~ transitive_relstr(X185)
| ~ antisymmetric_relstr(X185)
| ~ with_suprema_relstr(X185)
| ~ lower_bounded_relstr(X185)
| ~ up_complete_relstr(X185)
| ~ v2_waybel_3(X185)
| ~ rel_str(X185) )
& ( v3_waybel_3(X185)
| ~ reflexive_relstr(X185)
| ~ transitive_relstr(X185)
| ~ antisymmetric_relstr(X185)
| ~ with_suprema_relstr(X185)
| ~ lower_bounded_relstr(X185)
| ~ up_complete_relstr(X185)
| ~ v2_waybel_3(X185)
| ~ rel_str(X185) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_130])])]) ).
cnf(i_0_219,plain,
( finite(X2)
| ~ finite(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_131]) ).
fof(i_0_220,plain,
! [X174] :
( ( ~ empty_carrier(X174)
| empty_carrier(X174)
| ~ reflexive_relstr(X174)
| ~ transitive_relstr(X174)
| ~ antisymmetric_relstr(X174)
| ~ lower_bounded_relstr(X174)
| ~ connected_relstr(X174)
| ~ up_complete_relstr(X174)
| ~ rel_str(X174) )
& ( reflexive_relstr(X174)
| empty_carrier(X174)
| ~ reflexive_relstr(X174)
| ~ transitive_relstr(X174)
| ~ antisymmetric_relstr(X174)
| ~ lower_bounded_relstr(X174)
| ~ connected_relstr(X174)
| ~ up_complete_relstr(X174)
| ~ rel_str(X174) )
& ( transitive_relstr(X174)
| empty_carrier(X174)
| ~ reflexive_relstr(X174)
| ~ transitive_relstr(X174)
| ~ antisymmetric_relstr(X174)
| ~ lower_bounded_relstr(X174)
| ~ connected_relstr(X174)
| ~ up_complete_relstr(X174)
| ~ rel_str(X174) )
& ( antisymmetric_relstr(X174)
| empty_carrier(X174)
| ~ reflexive_relstr(X174)
| ~ transitive_relstr(X174)
| ~ antisymmetric_relstr(X174)
| ~ lower_bounded_relstr(X174)
| ~ connected_relstr(X174)
| ~ up_complete_relstr(X174)
| ~ rel_str(X174) )
& ( with_suprema_relstr(X174)
| empty_carrier(X174)
| ~ reflexive_relstr(X174)
| ~ transitive_relstr(X174)
| ~ antisymmetric_relstr(X174)
| ~ lower_bounded_relstr(X174)
| ~ connected_relstr(X174)
| ~ up_complete_relstr(X174)
| ~ rel_str(X174) )
& ( with_infima_relstr(X174)
| empty_carrier(X174)
| ~ reflexive_relstr(X174)
| ~ transitive_relstr(X174)
| ~ antisymmetric_relstr(X174)
| ~ lower_bounded_relstr(X174)
| ~ connected_relstr(X174)
| ~ up_complete_relstr(X174)
| ~ rel_str(X174) )
& ( complete_relstr(X174)
| empty_carrier(X174)
| ~ reflexive_relstr(X174)
| ~ transitive_relstr(X174)
| ~ antisymmetric_relstr(X174)
| ~ lower_bounded_relstr(X174)
| ~ connected_relstr(X174)
| ~ up_complete_relstr(X174)
| ~ rel_str(X174) )
& ( lower_bounded_relstr(X174)
| empty_carrier(X174)
| ~ reflexive_relstr(X174)
| ~ transitive_relstr(X174)
| ~ antisymmetric_relstr(X174)
| ~ lower_bounded_relstr(X174)
| ~ connected_relstr(X174)
| ~ up_complete_relstr(X174)
| ~ rel_str(X174) )
& ( upper_bounded_relstr(X174)
| empty_carrier(X174)
| ~ reflexive_relstr(X174)
| ~ transitive_relstr(X174)
| ~ antisymmetric_relstr(X174)
| ~ lower_bounded_relstr(X174)
| ~ connected_relstr(X174)
| ~ up_complete_relstr(X174)
| ~ rel_str(X174) )
& ( bounded_relstr(X174)
| empty_carrier(X174)
| ~ reflexive_relstr(X174)
| ~ transitive_relstr(X174)
| ~ antisymmetric_relstr(X174)
| ~ lower_bounded_relstr(X174)
| ~ connected_relstr(X174)
| ~ up_complete_relstr(X174)
| ~ rel_str(X174) )
& ( connected_relstr(X174)
| empty_carrier(X174)
| ~ reflexive_relstr(X174)
| ~ transitive_relstr(X174)
| ~ antisymmetric_relstr(X174)
| ~ lower_bounded_relstr(X174)
| ~ connected_relstr(X174)
| ~ up_complete_relstr(X174)
| ~ rel_str(X174) )
& ( up_complete_relstr(X174)
| empty_carrier(X174)
| ~ reflexive_relstr(X174)
| ~ transitive_relstr(X174)
| ~ antisymmetric_relstr(X174)
| ~ lower_bounded_relstr(X174)
| ~ connected_relstr(X174)
| ~ up_complete_relstr(X174)
| ~ rel_str(X174) )
& ( join_complete_relstr(X174)
| empty_carrier(X174)
| ~ reflexive_relstr(X174)
| ~ transitive_relstr(X174)
| ~ antisymmetric_relstr(X174)
| ~ lower_bounded_relstr(X174)
| ~ connected_relstr(X174)
| ~ up_complete_relstr(X174)
| ~ rel_str(X174) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_132])])]) ).
fof(i_0_221,plain,
! [X161] :
( ( ~ empty_carrier(X161)
| empty_carrier(X161)
| ~ reflexive_relstr(X161)
| ~ transitive_relstr(X161)
| ~ antisymmetric_relstr(X161)
| ~ with_suprema_relstr(X161)
| ~ lower_bounded_relstr(X161)
| ~ up_complete_relstr(X161)
| ~ rel_str(X161) )
& ( reflexive_relstr(X161)
| empty_carrier(X161)
| ~ reflexive_relstr(X161)
| ~ transitive_relstr(X161)
| ~ antisymmetric_relstr(X161)
| ~ with_suprema_relstr(X161)
| ~ lower_bounded_relstr(X161)
| ~ up_complete_relstr(X161)
| ~ rel_str(X161) )
& ( transitive_relstr(X161)
| empty_carrier(X161)
| ~ reflexive_relstr(X161)
| ~ transitive_relstr(X161)
| ~ antisymmetric_relstr(X161)
| ~ with_suprema_relstr(X161)
| ~ lower_bounded_relstr(X161)
| ~ up_complete_relstr(X161)
| ~ rel_str(X161) )
& ( antisymmetric_relstr(X161)
| empty_carrier(X161)
| ~ reflexive_relstr(X161)
| ~ transitive_relstr(X161)
| ~ antisymmetric_relstr(X161)
| ~ with_suprema_relstr(X161)
| ~ lower_bounded_relstr(X161)
| ~ up_complete_relstr(X161)
| ~ rel_str(X161) )
& ( with_suprema_relstr(X161)
| empty_carrier(X161)
| ~ reflexive_relstr(X161)
| ~ transitive_relstr(X161)
| ~ antisymmetric_relstr(X161)
| ~ with_suprema_relstr(X161)
| ~ lower_bounded_relstr(X161)
| ~ up_complete_relstr(X161)
| ~ rel_str(X161) )
& ( with_infima_relstr(X161)
| empty_carrier(X161)
| ~ reflexive_relstr(X161)
| ~ transitive_relstr(X161)
| ~ antisymmetric_relstr(X161)
| ~ with_suprema_relstr(X161)
| ~ lower_bounded_relstr(X161)
| ~ up_complete_relstr(X161)
| ~ rel_str(X161) )
& ( complete_relstr(X161)
| empty_carrier(X161)
| ~ reflexive_relstr(X161)
| ~ transitive_relstr(X161)
| ~ antisymmetric_relstr(X161)
| ~ with_suprema_relstr(X161)
| ~ lower_bounded_relstr(X161)
| ~ up_complete_relstr(X161)
| ~ rel_str(X161) )
& ( lower_bounded_relstr(X161)
| empty_carrier(X161)
| ~ reflexive_relstr(X161)
| ~ transitive_relstr(X161)
| ~ antisymmetric_relstr(X161)
| ~ with_suprema_relstr(X161)
| ~ lower_bounded_relstr(X161)
| ~ up_complete_relstr(X161)
| ~ rel_str(X161) )
& ( upper_bounded_relstr(X161)
| empty_carrier(X161)
| ~ reflexive_relstr(X161)
| ~ transitive_relstr(X161)
| ~ antisymmetric_relstr(X161)
| ~ with_suprema_relstr(X161)
| ~ lower_bounded_relstr(X161)
| ~ up_complete_relstr(X161)
| ~ rel_str(X161) )
& ( bounded_relstr(X161)
| empty_carrier(X161)
| ~ reflexive_relstr(X161)
| ~ transitive_relstr(X161)
| ~ antisymmetric_relstr(X161)
| ~ with_suprema_relstr(X161)
| ~ lower_bounded_relstr(X161)
| ~ up_complete_relstr(X161)
| ~ rel_str(X161) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_133])])]) ).
fof(i_0_222,plain,
! [X169] :
( ( ~ empty_carrier(X169)
| empty_carrier(X169)
| ~ reflexive_relstr(X169)
| ~ transitive_relstr(X169)
| ~ antisymmetric_relstr(X169)
| ~ upper_bounded_relstr(X169)
| ~ up_complete_relstr(X169)
| ~ join_complete_relstr(X169)
| ~ rel_str(X169) )
& ( reflexive_relstr(X169)
| empty_carrier(X169)
| ~ reflexive_relstr(X169)
| ~ transitive_relstr(X169)
| ~ antisymmetric_relstr(X169)
| ~ upper_bounded_relstr(X169)
| ~ up_complete_relstr(X169)
| ~ join_complete_relstr(X169)
| ~ rel_str(X169) )
& ( transitive_relstr(X169)
| empty_carrier(X169)
| ~ reflexive_relstr(X169)
| ~ transitive_relstr(X169)
| ~ antisymmetric_relstr(X169)
| ~ upper_bounded_relstr(X169)
| ~ up_complete_relstr(X169)
| ~ join_complete_relstr(X169)
| ~ rel_str(X169) )
& ( antisymmetric_relstr(X169)
| empty_carrier(X169)
| ~ reflexive_relstr(X169)
| ~ transitive_relstr(X169)
| ~ antisymmetric_relstr(X169)
| ~ upper_bounded_relstr(X169)
| ~ up_complete_relstr(X169)
| ~ join_complete_relstr(X169)
| ~ rel_str(X169) )
& ( lower_bounded_relstr(X169)
| empty_carrier(X169)
| ~ reflexive_relstr(X169)
| ~ transitive_relstr(X169)
| ~ antisymmetric_relstr(X169)
| ~ upper_bounded_relstr(X169)
| ~ up_complete_relstr(X169)
| ~ join_complete_relstr(X169)
| ~ rel_str(X169) )
& ( upper_bounded_relstr(X169)
| empty_carrier(X169)
| ~ reflexive_relstr(X169)
| ~ transitive_relstr(X169)
| ~ antisymmetric_relstr(X169)
| ~ upper_bounded_relstr(X169)
| ~ up_complete_relstr(X169)
| ~ join_complete_relstr(X169)
| ~ rel_str(X169) )
& ( bounded_relstr(X169)
| empty_carrier(X169)
| ~ reflexive_relstr(X169)
| ~ transitive_relstr(X169)
| ~ antisymmetric_relstr(X169)
| ~ upper_bounded_relstr(X169)
| ~ up_complete_relstr(X169)
| ~ join_complete_relstr(X169)
| ~ rel_str(X169) )
& ( up_complete_relstr(X169)
| empty_carrier(X169)
| ~ reflexive_relstr(X169)
| ~ transitive_relstr(X169)
| ~ antisymmetric_relstr(X169)
| ~ upper_bounded_relstr(X169)
| ~ up_complete_relstr(X169)
| ~ join_complete_relstr(X169)
| ~ rel_str(X169) )
& ( join_complete_relstr(X169)
| empty_carrier(X169)
| ~ reflexive_relstr(X169)
| ~ transitive_relstr(X169)
| ~ antisymmetric_relstr(X169)
| ~ upper_bounded_relstr(X169)
| ~ up_complete_relstr(X169)
| ~ join_complete_relstr(X169)
| ~ rel_str(X169) )
& ( with_suprema_relstr(X169)
| empty_carrier(X169)
| ~ reflexive_relstr(X169)
| ~ transitive_relstr(X169)
| ~ antisymmetric_relstr(X169)
| ~ upper_bounded_relstr(X169)
| ~ up_complete_relstr(X169)
| ~ join_complete_relstr(X169)
| ~ rel_str(X169) )
& ( with_infima_relstr(X169)
| empty_carrier(X169)
| ~ reflexive_relstr(X169)
| ~ transitive_relstr(X169)
| ~ antisymmetric_relstr(X169)
| ~ upper_bounded_relstr(X169)
| ~ up_complete_relstr(X169)
| ~ join_complete_relstr(X169)
| ~ rel_str(X169) )
& ( complete_relstr(X169)
| empty_carrier(X169)
| ~ reflexive_relstr(X169)
| ~ transitive_relstr(X169)
| ~ antisymmetric_relstr(X169)
| ~ upper_bounded_relstr(X169)
| ~ up_complete_relstr(X169)
| ~ join_complete_relstr(X169)
| ~ rel_str(X169) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_134])])]) ).
fof(i_0_223,plain,
! [X225,X226] :
( empty(X225)
| empty(X226)
| ~ empty(cartesian_product2(X225,X226)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_135])]) ).
cnf(i_0_224,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_128]) ).
fof(i_0_225,plain,
! [X188] :
( ( ~ empty_carrier(X188)
| empty_carrier(X188)
| ~ reflexive_relstr(X188)
| ~ transitive_relstr(X188)
| ~ antisymmetric_relstr(X188)
| ~ complete_relstr(X188)
| ~ connected_relstr(X188)
| ~ rel_str(X188) )
& ( reflexive_relstr(X188)
| empty_carrier(X188)
| ~ reflexive_relstr(X188)
| ~ transitive_relstr(X188)
| ~ antisymmetric_relstr(X188)
| ~ complete_relstr(X188)
| ~ connected_relstr(X188)
| ~ rel_str(X188) )
& ( transitive_relstr(X188)
| empty_carrier(X188)
| ~ reflexive_relstr(X188)
| ~ transitive_relstr(X188)
| ~ antisymmetric_relstr(X188)
| ~ complete_relstr(X188)
| ~ connected_relstr(X188)
| ~ rel_str(X188) )
& ( antisymmetric_relstr(X188)
| empty_carrier(X188)
| ~ reflexive_relstr(X188)
| ~ transitive_relstr(X188)
| ~ antisymmetric_relstr(X188)
| ~ complete_relstr(X188)
| ~ connected_relstr(X188)
| ~ rel_str(X188) )
& ( connected_relstr(X188)
| empty_carrier(X188)
| ~ reflexive_relstr(X188)
| ~ transitive_relstr(X188)
| ~ antisymmetric_relstr(X188)
| ~ complete_relstr(X188)
| ~ connected_relstr(X188)
| ~ rel_str(X188) )
& ( v2_waybel_3(X188)
| empty_carrier(X188)
| ~ reflexive_relstr(X188)
| ~ transitive_relstr(X188)
| ~ antisymmetric_relstr(X188)
| ~ complete_relstr(X188)
| ~ connected_relstr(X188)
| ~ rel_str(X188) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_136])])]) ).
fof(i_0_226,plain,
! [X156,X157] :
( ~ in(X156,X157)
| ~ in(X157,X156) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_137])]) ).
fof(i_0_227,plain,
! [X163] :
( ( ~ empty_carrier(X163)
| empty_carrier(X163)
| ~ reflexive_relstr(X163)
| ~ antisymmetric_relstr(X163)
| ~ upper_bounded_relstr(X163)
| ~ join_complete_relstr(X163)
| ~ rel_str(X163) )
& ( reflexive_relstr(X163)
| empty_carrier(X163)
| ~ reflexive_relstr(X163)
| ~ antisymmetric_relstr(X163)
| ~ upper_bounded_relstr(X163)
| ~ join_complete_relstr(X163)
| ~ rel_str(X163) )
& ( antisymmetric_relstr(X163)
| empty_carrier(X163)
| ~ reflexive_relstr(X163)
| ~ antisymmetric_relstr(X163)
| ~ upper_bounded_relstr(X163)
| ~ join_complete_relstr(X163)
| ~ rel_str(X163) )
& ( with_suprema_relstr(X163)
| empty_carrier(X163)
| ~ reflexive_relstr(X163)
| ~ antisymmetric_relstr(X163)
| ~ upper_bounded_relstr(X163)
| ~ join_complete_relstr(X163)
| ~ rel_str(X163) )
& ( upper_bounded_relstr(X163)
| empty_carrier(X163)
| ~ reflexive_relstr(X163)
| ~ antisymmetric_relstr(X163)
| ~ upper_bounded_relstr(X163)
| ~ join_complete_relstr(X163)
| ~ rel_str(X163) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_138])])]) ).
fof(i_0_228,plain,
! [X218,X219] :
( ~ finite(X218)
| ~ finite(X219)
| finite(cartesian_product2(X218,X219)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc14_finset_1])]) ).
cnf(i_0_229,plain,
( element(esk31_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_139]) ).
cnf(i_0_230,plain,
( element(esk28_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_140]) ).
cnf(i_0_231,plain,
( element(esk13_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]) ).
fof(i_0_232,plain,
! [X155] :
( ~ rel_str(X155)
| ~ strict_rel_str(X155)
| X155 = rel_str_of(the_carrier(X155),the_InternalRel(X155)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v1_orders_2])]) ).
fof(i_0_233,plain,
! [X289,X290] :
( ~ element(X289,X290)
| empty(X290)
| in(X289,X290) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(i_0_234,plain,
element(esk22_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_142]) ).
fof(i_0_235,plain,
! [X162] :
( ( ~ empty_carrier(X162)
| empty_carrier(X162)
| ~ reflexive_relstr(X162)
| ~ antisymmetric_relstr(X162)
| ~ join_complete_relstr(X162)
| ~ rel_str(X162) )
& ( reflexive_relstr(X162)
| empty_carrier(X162)
| ~ reflexive_relstr(X162)
| ~ antisymmetric_relstr(X162)
| ~ join_complete_relstr(X162)
| ~ rel_str(X162) )
& ( antisymmetric_relstr(X162)
| empty_carrier(X162)
| ~ reflexive_relstr(X162)
| ~ antisymmetric_relstr(X162)
| ~ join_complete_relstr(X162)
| ~ rel_str(X162) )
& ( with_infima_relstr(X162)
| empty_carrier(X162)
| ~ reflexive_relstr(X162)
| ~ antisymmetric_relstr(X162)
| ~ join_complete_relstr(X162)
| ~ rel_str(X162) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_143])])]) ).
fof(i_0_236,plain,
! [X287,X288] :
( ~ in(X287,X288)
| element(X287,X288) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_237,plain,
! [X191] :
( ( ~ empty_carrier(X191)
| ~ reflexive_relstr(X191)
| ~ with_suprema_relstr(X191)
| ~ up_complete_relstr(X191)
| ~ rel_str(X191) )
& ( reflexive_relstr(X191)
| ~ reflexive_relstr(X191)
| ~ with_suprema_relstr(X191)
| ~ up_complete_relstr(X191)
| ~ rel_str(X191) )
& ( with_suprema_relstr(X191)
| ~ reflexive_relstr(X191)
| ~ with_suprema_relstr(X191)
| ~ up_complete_relstr(X191)
| ~ rel_str(X191) )
& ( upper_bounded_relstr(X191)
| ~ reflexive_relstr(X191)
| ~ with_suprema_relstr(X191)
| ~ up_complete_relstr(X191)
| ~ rel_str(X191) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_144])])]) ).
cnf(i_0_238,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_145]) ).
fof(i_0_239,plain,
! [X180] :
( ( ~ empty_carrier(X180)
| empty_carrier(X180)
| ~ reflexive_relstr(X180)
| ~ v3_waybel_3(X180)
| ~ rel_str(X180) )
& ( reflexive_relstr(X180)
| empty_carrier(X180)
| ~ reflexive_relstr(X180)
| ~ v3_waybel_3(X180)
| ~ rel_str(X180) )
& ( up_complete_relstr(X180)
| empty_carrier(X180)
| ~ reflexive_relstr(X180)
| ~ v3_waybel_3(X180)
| ~ rel_str(X180) )
& ( v2_waybel_3(X180)
| empty_carrier(X180)
| ~ reflexive_relstr(X180)
| ~ v3_waybel_3(X180)
| ~ rel_str(X180) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_146])])]) ).
fof(i_0_240,plain,
! [X177] :
( ( ~ empty_carrier(X177)
| empty_carrier(X177)
| ~ trivial_carrier(X177)
| ~ reflexive_relstr(X177)
| ~ rel_str(X177) )
& ( reflexive_relstr(X177)
| empty_carrier(X177)
| ~ trivial_carrier(X177)
| ~ reflexive_relstr(X177)
| ~ rel_str(X177) )
& ( v2_waybel_3(X177)
| empty_carrier(X177)
| ~ trivial_carrier(X177)
| ~ reflexive_relstr(X177)
| ~ rel_str(X177) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_147])])]) ).
fof(i_0_241,plain,
! [X183] :
( ( ~ empty_carrier(X183)
| empty_carrier(X183)
| ~ reflexive_relstr(X183)
| ~ trivial_carrier(X183)
| ~ rel_str(X183) )
& ( reflexive_relstr(X183)
| empty_carrier(X183)
| ~ reflexive_relstr(X183)
| ~ trivial_carrier(X183)
| ~ rel_str(X183) )
& ( connected_relstr(X183)
| empty_carrier(X183)
| ~ reflexive_relstr(X183)
| ~ trivial_carrier(X183)
| ~ rel_str(X183) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_148])])]) ).
fof(i_0_242,plain,
! [X160] :
( ( ~ empty_carrier(X160)
| empty_carrier(X160)
| ~ reflexive_relstr(X160)
| ~ join_complete_relstr(X160)
| ~ rel_str(X160) )
& ( reflexive_relstr(X160)
| empty_carrier(X160)
| ~ reflexive_relstr(X160)
| ~ join_complete_relstr(X160)
| ~ rel_str(X160) )
& ( lower_bounded_relstr(X160)
| empty_carrier(X160)
| ~ reflexive_relstr(X160)
| ~ join_complete_relstr(X160)
| ~ rel_str(X160) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_149])])]) ).
fof(i_0_243,plain,
! [X175] :
( ( ~ empty_carrier(X175)
| empty_carrier(X175)
| ~ reflexive_relstr(X175)
| ~ trivial_carrier(X175)
| ~ rel_str(X175) )
& ( reflexive_relstr(X175)
| empty_carrier(X175)
| ~ reflexive_relstr(X175)
| ~ trivial_carrier(X175)
| ~ rel_str(X175) )
& ( transitive_relstr(X175)
| empty_carrier(X175)
| ~ reflexive_relstr(X175)
| ~ trivial_carrier(X175)
| ~ rel_str(X175) )
& ( antisymmetric_relstr(X175)
| empty_carrier(X175)
| ~ reflexive_relstr(X175)
| ~ trivial_carrier(X175)
| ~ rel_str(X175) )
& ( complete_relstr(X175)
| empty_carrier(X175)
| ~ reflexive_relstr(X175)
| ~ trivial_carrier(X175)
| ~ rel_str(X175) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_150])])]) ).
fof(i_0_244,plain,
! [X158] :
( ( ~ empty_carrier(X158)
| empty_carrier(X158)
| ~ reflexive_relstr(X158)
| ~ complete_relstr(X158)
| ~ rel_str(X158) )
& ( reflexive_relstr(X158)
| empty_carrier(X158)
| ~ reflexive_relstr(X158)
| ~ complete_relstr(X158)
| ~ rel_str(X158) )
& ( up_complete_relstr(X158)
| empty_carrier(X158)
| ~ reflexive_relstr(X158)
| ~ complete_relstr(X158)
| ~ rel_str(X158) )
& ( join_complete_relstr(X158)
| empty_carrier(X158)
| ~ reflexive_relstr(X158)
| ~ complete_relstr(X158)
| ~ rel_str(X158) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_151])])]) ).
fof(i_0_245,plain,
! [X304,X305] :
( ~ in(X304,X305)
| ~ empty(X305) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_246,plain,
! [X217] :
( ( ~ empty(the_InternalRel(X217))
| v1_yellow_3(X217)
| ~ rel_str(X217) )
& ( relation(the_InternalRel(X217))
| v1_yellow_3(X217)
| ~ rel_str(X217) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_152])])]) ).
fof(i_0_247,plain,
! [X220] :
( empty_carrier(X220)
| ~ one_sorted_str(X220)
| ~ empty(the_carrier(X220)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_153])]) ).
fof(i_0_248,plain,
! [X186] :
( ~ rel_str(X186)
| ~ lower_bounded_relstr(X186)
| ~ upper_bounded_relstr(X186)
| bounded_relstr(X186) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_yellow_0])]) ).
fof(i_0_249,plain,
! [X179] :
( ( ~ empty_carrier(X179)
| empty_carrier(X179)
| ~ reflexive_relstr(X179)
| ~ rel_str(X179) )
& ( ~ v1_yellow_3(X179)
| empty_carrier(X179)
| ~ reflexive_relstr(X179)
| ~ rel_str(X179) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_154])])]) ).
fof(i_0_250,plain,
! [X190] :
( ( ~ empty_carrier(X190)
| empty_carrier(X190)
| ~ boolean_relstr(X190)
| ~ rel_str(X190) )
& ( reflexive_relstr(X190)
| empty_carrier(X190)
| ~ boolean_relstr(X190)
| ~ rel_str(X190) )
& ( transitive_relstr(X190)
| empty_carrier(X190)
| ~ boolean_relstr(X190)
| ~ rel_str(X190) )
& ( antisymmetric_relstr(X190)
| empty_carrier(X190)
| ~ boolean_relstr(X190)
| ~ rel_str(X190) )
& ( with_suprema_relstr(X190)
| empty_carrier(X190)
| ~ boolean_relstr(X190)
| ~ rel_str(X190) )
& ( with_infima_relstr(X190)
| empty_carrier(X190)
| ~ boolean_relstr(X190)
| ~ rel_str(X190) )
& ( lower_bounded_relstr(X190)
| empty_carrier(X190)
| ~ boolean_relstr(X190)
| ~ rel_str(X190) )
& ( upper_bounded_relstr(X190)
| empty_carrier(X190)
| ~ boolean_relstr(X190)
| ~ rel_str(X190) )
& ( bounded_relstr(X190)
| empty_carrier(X190)
| ~ boolean_relstr(X190)
| ~ rel_str(X190) )
& ( distributive_relstr(X190)
| empty_carrier(X190)
| ~ boolean_relstr(X190)
| ~ rel_str(X190) )
& ( complemented_relstr(X190)
| empty_carrier(X190)
| ~ boolean_relstr(X190)
| ~ rel_str(X190) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_155])])]) ).
fof(i_0_251,plain,
! [X178] :
( ( ~ empty_carrier(X178)
| empty_carrier(X178)
| ~ complete_relstr(X178)
| ~ rel_str(X178) )
& ( bounded_relstr(X178)
| empty_carrier(X178)
| ~ complete_relstr(X178)
| ~ rel_str(X178) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_156])])]) ).
fof(i_0_252,plain,
! [X159] :
( ( ~ empty_carrier(X159)
| empty_carrier(X159)
| ~ boolean_relstr(X159)
| ~ rel_str(X159) )
& ( reflexive_relstr(X159)
| empty_carrier(X159)
| ~ boolean_relstr(X159)
| ~ rel_str(X159) )
& ( transitive_relstr(X159)
| empty_carrier(X159)
| ~ boolean_relstr(X159)
| ~ rel_str(X159) )
& ( antisymmetric_relstr(X159)
| empty_carrier(X159)
| ~ boolean_relstr(X159)
| ~ rel_str(X159) )
& ( with_suprema_relstr(X159)
| empty_carrier(X159)
| ~ boolean_relstr(X159)
| ~ rel_str(X159) )
& ( with_infima_relstr(X159)
| empty_carrier(X159)
| ~ boolean_relstr(X159)
| ~ rel_str(X159) )
& ( upper_bounded_relstr(X159)
| empty_carrier(X159)
| ~ boolean_relstr(X159)
| ~ rel_str(X159) )
& ( distributive_relstr(X159)
| empty_carrier(X159)
| ~ boolean_relstr(X159)
| ~ rel_str(X159) )
& ( heyting_relstr(X159)
| empty_carrier(X159)
| ~ boolean_relstr(X159)
| ~ rel_str(X159) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_157])])]) ).
fof(i_0_253,plain,
! [X187] :
( ( ~ empty_carrier(X187)
| empty_carrier(X187)
| ~ heyting_relstr(X187)
| ~ rel_str(X187) )
& ( distributive_relstr(X187)
| empty_carrier(X187)
| ~ heyting_relstr(X187)
| ~ rel_str(X187) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_158])])]) ).
fof(i_0_254,plain,
! [X189] :
( ( ~ empty_carrier(X189)
| empty_carrier(X189)
| ~ heyting_relstr(X189)
| ~ rel_str(X189) )
& ( upper_bounded_relstr(X189)
| empty_carrier(X189)
| ~ heyting_relstr(X189)
| ~ rel_str(X189) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_159])])]) ).
fof(i_0_255,plain,
! [X184] :
( ( ~ empty_carrier(X184)
| empty_carrier(X184)
| ~ heyting_relstr(X184)
| ~ rel_str(X184) )
& ( reflexive_relstr(X184)
| empty_carrier(X184)
| ~ heyting_relstr(X184)
| ~ rel_str(X184) )
& ( transitive_relstr(X184)
| empty_carrier(X184)
| ~ heyting_relstr(X184)
| ~ rel_str(X184) )
& ( antisymmetric_relstr(X184)
| empty_carrier(X184)
| ~ heyting_relstr(X184)
| ~ rel_str(X184) )
& ( with_suprema_relstr(X184)
| empty_carrier(X184)
| ~ heyting_relstr(X184)
| ~ rel_str(X184) )
& ( with_infima_relstr(X184)
| empty_carrier(X184)
| ~ heyting_relstr(X184)
| ~ rel_str(X184) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_160])])]) ).
fof(i_0_256,plain,
! [X168] :
( ( ~ empty_carrier(X168)
| empty_carrier(X168)
| ~ complete_relstr(X168)
| ~ rel_str(X168) )
& ( with_suprema_relstr(X168)
| empty_carrier(X168)
| ~ complete_relstr(X168)
| ~ rel_str(X168) )
& ( with_infima_relstr(X168)
| empty_carrier(X168)
| ~ complete_relstr(X168)
| ~ rel_str(X168) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_161])])]) ).
fof(i_0_257,plain,
! [X173] :
( ~ rel_str(X173)
| ~ with_infima_relstr(X173)
| ~ empty_carrier(X173) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_162])]) ).
fof(i_0_258,plain,
! [X165] :
( ~ rel_str(X165)
| ~ with_suprema_relstr(X165)
| ~ empty_carrier(X165) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_163])]) ).
fof(i_0_259,plain,
! [X224] :
( ( ~ empty_carrier(boole_POSet(X224))
| empty(X224) )
& ( ~ trivial_carrier(boole_POSet(X224))
| empty(X224) )
& ( strict_rel_str(boole_POSet(X224))
| empty(X224) )
& ( reflexive_relstr(boole_POSet(X224))
| empty(X224) )
& ( transitive_relstr(boole_POSet(X224))
| empty(X224) )
& ( antisymmetric_relstr(boole_POSet(X224))
| empty(X224) )
& ( lower_bounded_relstr(boole_POSet(X224))
| empty(X224) )
& ( upper_bounded_relstr(boole_POSet(X224))
| empty(X224) )
& ( bounded_relstr(boole_POSet(X224))
| empty(X224) )
& ( up_complete_relstr(boole_POSet(X224))
| empty(X224) )
& ( join_complete_relstr(boole_POSet(X224))
| empty(X224) )
& ( ~ v1_yellow_3(boole_POSet(X224))
| empty(X224) )
& ( distributive_relstr(boole_POSet(X224))
| empty(X224) )
& ( heyting_relstr(boole_POSet(X224))
| empty(X224) )
& ( complemented_relstr(boole_POSet(X224))
| empty(X224) )
& ( boolean_relstr(boole_POSet(X224))
| empty(X224) )
& ( with_suprema_relstr(boole_POSet(X224))
| empty(X224) )
& ( with_infima_relstr(boole_POSet(X224))
| empty(X224) )
& ( complete_relstr(boole_POSet(X224))
| empty(X224) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_164])])]) ).
fof(i_0_260,plain,
! [X212] : element(esk6_1(X212),X212),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_261,plain,
! [X176] :
( ~ rel_str(X176)
| v1_yellow_3(X176)
| ~ empty_carrier(X176) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_165])]) ).
fof(i_0_262,plain,
! [X170] :
( ~ rel_str(X170)
| ~ empty_carrier(X170)
| v1_yellow_3(X170) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_yellow_3])]) ).
fof(i_0_263,plain,
! [X182] :
( ( lower_bounded_relstr(X182)
| ~ bounded_relstr(X182)
| ~ rel_str(X182) )
& ( upper_bounded_relstr(X182)
| ~ bounded_relstr(X182)
| ~ rel_str(X182) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_yellow_0])])]) ).
fof(i_0_264,plain,
! [X223] :
( ~ empty_carrier(boole_POSet(X223))
& strict_rel_str(boole_POSet(X223))
& reflexive_relstr(boole_POSet(X223))
& transitive_relstr(boole_POSet(X223))
& antisymmetric_relstr(boole_POSet(X223))
& lower_bounded_relstr(boole_POSet(X223))
& upper_bounded_relstr(boole_POSet(X223))
& bounded_relstr(boole_POSet(X223))
& up_complete_relstr(boole_POSet(X223))
& join_complete_relstr(boole_POSet(X223))
& ~ v1_yellow_3(boole_POSet(X223))
& distributive_relstr(boole_POSet(X223))
& heyting_relstr(boole_POSet(X223))
& complemented_relstr(boole_POSet(X223))
& boolean_relstr(boole_POSet(X223))
& with_suprema_relstr(boole_POSet(X223))
& with_infima_relstr(boole_POSet(X223))
& complete_relstr(boole_POSet(X223)) ),
inference(variable_rename,[status(thm)],[i_0_166]) ).
fof(i_0_265,plain,
! [X229] :
( ~ empty_carrier(boole_POSet(X229))
& strict_rel_str(boole_POSet(X229))
& reflexive_relstr(boole_POSet(X229))
& transitive_relstr(boole_POSet(X229))
& antisymmetric_relstr(boole_POSet(X229))
& with_suprema_relstr(boole_POSet(X229))
& with_infima_relstr(boole_POSet(X229))
& complete_relstr(boole_POSet(X229))
& lower_bounded_relstr(boole_POSet(X229))
& upper_bounded_relstr(boole_POSet(X229))
& bounded_relstr(boole_POSet(X229))
& up_complete_relstr(boole_POSet(X229))
& join_complete_relstr(boole_POSet(X229))
& distributive_relstr(boole_POSet(X229))
& complemented_relstr(boole_POSet(X229)) ),
inference(variable_rename,[status(thm)],[i_0_167]) ).
fof(i_0_266,plain,
! [X228] :
( ~ empty_carrier(boole_POSet(X228))
& strict_rel_str(boole_POSet(X228))
& reflexive_relstr(boole_POSet(X228))
& transitive_relstr(boole_POSet(X228))
& antisymmetric_relstr(boole_POSet(X228))
& lower_bounded_relstr(boole_POSet(X228))
& upper_bounded_relstr(boole_POSet(X228))
& bounded_relstr(boole_POSet(X228))
& with_suprema_relstr(boole_POSet(X228))
& with_infima_relstr(boole_POSet(X228))
& complete_relstr(boole_POSet(X228)) ),
inference(variable_rename,[status(thm)],[i_0_168]) ).
fof(i_0_267,plain,
! [X227] :
( ~ empty_carrier(boole_POSet(X227))
& strict_rel_str(boole_POSet(X227))
& reflexive_relstr(boole_POSet(X227))
& transitive_relstr(boole_POSet(X227))
& antisymmetric_relstr(boole_POSet(X227)) ),
inference(variable_rename,[status(thm)],[i_0_169]) ).
fof(i_0_268,plain,
! [X222] :
( ~ empty_carrier(boole_POSet(X222))
& strict_rel_str(boole_POSet(X222))
& reflexive_relstr(boole_POSet(X222))
& transitive_relstr(boole_POSet(X222))
& antisymmetric_relstr(boole_POSet(X222))
& with_suprema_relstr(boole_POSet(X222))
& with_infima_relstr(boole_POSet(X222))
& complete_relstr(boole_POSet(X222))
& lower_bounded_relstr(boole_POSet(X222))
& upper_bounded_relstr(boole_POSet(X222))
& bounded_relstr(boole_POSet(X222))
& up_complete_relstr(boole_POSet(X222))
& join_complete_relstr(boole_POSet(X222))
& distributive_relstr(boole_POSet(X222)) ),
inference(variable_rename,[status(thm)],[i_0_170]) ).
fof(i_0_269,plain,
! [X306,X307] :
( ~ empty(X306)
| X306 = X307
| ~ empty(X307) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_270,plain,
! [X277] : subset(X277,X277),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_271,plain,
! [X202] :
( ~ rel_str(X202)
| one_sorted_str(X202) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
fof(i_0_272,plain,
! [X164] :
( ~ empty(X164)
| finite(X164) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finset_1])]) ).
fof(i_0_273,plain,
! [X201] :
( strict_rel_str(boole_POSet(X201))
& rel_str(boole_POSet(X201)) ),
inference(variable_rename,[status(thm)],[dt_k3_yellow_1]) ).
fof(i_0_274,plain,
! [X303] :
( ~ empty(X303)
| X303 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_275,plain,
( rel_str(esk17_0)
& ~ empty_carrier(esk17_0)
& ~ trivial_carrier(esk17_0)
& strict_rel_str(esk17_0)
& reflexive_relstr(esk17_0)
& transitive_relstr(esk17_0)
& antisymmetric_relstr(esk17_0)
& lower_bounded_relstr(esk17_0)
& upper_bounded_relstr(esk17_0)
& bounded_relstr(esk17_0)
& ~ v1_yellow_3(esk17_0)
& distributive_relstr(esk17_0)
& heyting_relstr(esk17_0)
& complemented_relstr(esk17_0)
& boolean_relstr(esk17_0)
& with_suprema_relstr(esk17_0)
& with_infima_relstr(esk17_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_171])]) ).
fof(i_0_276,plain,
( rel_str(esk20_0)
& ~ empty_carrier(esk20_0)
& strict_rel_str(esk20_0)
& reflexive_relstr(esk20_0)
& transitive_relstr(esk20_0)
& antisymmetric_relstr(esk20_0)
& ~ v1_yellow_3(esk20_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_172])]) ).
fof(i_0_277,plain,
~ empty(esk26_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_173])]) ).
fof(i_0_278,plain,
( ~ empty(esk11_0)
& finite(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_174])]) ).
fof(i_0_279,plain,
( rel_str(esk34_0)
& ~ empty_carrier(esk34_0)
& strict_rel_str(esk34_0)
& reflexive_relstr(esk34_0)
& transitive_relstr(esk34_0)
& antisymmetric_relstr(esk34_0)
& with_suprema_relstr(esk34_0)
& with_infima_relstr(esk34_0)
& upper_bounded_relstr(esk34_0)
& distributive_relstr(esk34_0)
& heyting_relstr(esk34_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_175])]) ).
fof(i_0_280,plain,
( rel_str(esk32_0)
& ~ empty_carrier(esk32_0)
& strict_rel_str(esk32_0)
& reflexive_relstr(esk32_0)
& transitive_relstr(esk32_0)
& antisymmetric_relstr(esk32_0)
& with_suprema_relstr(esk32_0)
& with_infima_relstr(esk32_0)
& lower_bounded_relstr(esk32_0)
& upper_bounded_relstr(esk32_0)
& bounded_relstr(esk32_0)
& distributive_relstr(esk32_0)
& heyting_relstr(esk32_0)
& complemented_relstr(esk32_0)
& boolean_relstr(esk32_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_176])]) ).
fof(i_0_281,plain,
( one_sorted_str(esk29_0)
& ~ empty_carrier(esk29_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_177])]) ).
fof(i_0_282,plain,
( rel_str(esk27_0)
& ~ empty_carrier(esk27_0)
& reflexive_relstr(esk27_0)
& transitive_relstr(esk27_0)
& antisymmetric_relstr(esk27_0)
& with_suprema_relstr(esk27_0)
& with_infima_relstr(esk27_0)
& complete_relstr(esk27_0)
& lower_bounded_relstr(esk27_0)
& upper_bounded_relstr(esk27_0)
& bounded_relstr(esk27_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_178])]) ).
fof(i_0_283,plain,
( rel_str(esk24_0)
& ~ empty_carrier(esk24_0)
& strict_rel_str(esk24_0)
& reflexive_relstr(esk24_0)
& transitive_relstr(esk24_0)
& antisymmetric_relstr(esk24_0)
& with_suprema_relstr(esk24_0)
& with_infima_relstr(esk24_0)
& complete_relstr(esk24_0)
& lower_bounded_relstr(esk24_0)
& upper_bounded_relstr(esk24_0)
& bounded_relstr(esk24_0)
& up_complete_relstr(esk24_0)
& join_complete_relstr(esk24_0)
& v2_waybel_3(esk24_0)
& v3_waybel_3(esk24_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_179])]) ).
fof(i_0_284,plain,
( rel_str(esk21_0)
& ~ empty_carrier(esk21_0)
& strict_rel_str(esk21_0)
& reflexive_relstr(esk21_0)
& transitive_relstr(esk21_0)
& antisymmetric_relstr(esk21_0)
& with_suprema_relstr(esk21_0)
& with_infima_relstr(esk21_0)
& complete_relstr(esk21_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_180])]) ).
fof(i_0_285,plain,
( rel_str(esk19_0)
& ~ empty_carrier(esk19_0)
& strict_rel_str(esk19_0)
& reflexive_relstr(esk19_0)
& transitive_relstr(esk19_0)
& antisymmetric_relstr(esk19_0)
& with_suprema_relstr(esk19_0)
& with_infima_relstr(esk19_0)
& complete_relstr(esk19_0)
& trivial_carrier(esk19_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_181])]) ).
fof(i_0_286,plain,
( rel_str(esk16_0)
& ~ empty_carrier(esk16_0)
& strict_rel_str(esk16_0)
& reflexive_relstr(esk16_0)
& transitive_relstr(esk16_0)
& antisymmetric_relstr(esk16_0)
& lower_bounded_relstr(esk16_0)
& upper_bounded_relstr(esk16_0)
& bounded_relstr(esk16_0)
& up_complete_relstr(esk16_0)
& join_complete_relstr(esk16_0)
& with_suprema_relstr(esk16_0)
& with_infima_relstr(esk16_0)
& complete_relstr(esk16_0)
& distributive_relstr(esk16_0)
& v2_waybel_3(esk16_0)
& v3_waybel_3(esk16_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_182])]) ).
fof(i_0_287,plain,
( rel_str(esk15_0)
& ~ empty_carrier(esk15_0)
& reflexive_relstr(esk15_0)
& transitive_relstr(esk15_0)
& antisymmetric_relstr(esk15_0)
& with_suprema_relstr(esk15_0)
& with_infima_relstr(esk15_0)
& complete_relstr(esk15_0)
& lower_bounded_relstr(esk15_0)
& upper_bounded_relstr(esk15_0)
& bounded_relstr(esk15_0)
& connected_relstr(esk15_0)
& up_complete_relstr(esk15_0)
& join_complete_relstr(esk15_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_183])]) ).
fof(i_0_288,plain,
( rel_str(esk12_0)
& ~ empty_carrier(esk12_0)
& strict_rel_str(esk12_0)
& reflexive_relstr(esk12_0)
& transitive_relstr(esk12_0)
& antisymmetric_relstr(esk12_0)
& complete_relstr(esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_184])]) ).
fof(i_0_289,plain,
( rel_str(esk10_0)
& ~ empty_carrier(esk10_0)
& strict_rel_str(esk10_0)
& reflexive_relstr(esk10_0)
& transitive_relstr(esk10_0)
& antisymmetric_relstr(esk10_0)
& with_suprema_relstr(esk10_0)
& with_infima_relstr(esk10_0)
& complete_relstr(esk10_0)
& lower_bounded_relstr(esk10_0)
& upper_bounded_relstr(esk10_0)
& bounded_relstr(esk10_0)
& up_complete_relstr(esk10_0)
& join_complete_relstr(esk10_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_185])]) ).
fof(i_0_290,plain,
( rel_str(esk9_0)
& ~ empty_carrier(esk9_0)
& reflexive_relstr(esk9_0)
& transitive_relstr(esk9_0)
& antisymmetric_relstr(esk9_0)
& connected_relstr(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_186])]) ).
fof(i_0_291,plain,
one_sorted_str(esk4_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_struct_0])]) ).
fof(i_0_292,plain,
empty(esk18_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
fof(i_0_293,plain,
rel_str(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_orders_2])]) ).
cnf(i_0_294,plain,
( in(X4,X1)
| ~ rel_str(X2)
| ~ in(X3,X1)
| ~ upper_relstr_subset(X1,X2)
| ~ related(X2,X3,X4)
| ~ element(X4,the_carrier(X2))
| ~ element(X3,the_carrier(X2))
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X2)))) ),
inference(rw,[status(thm)],[i_0_187,c_0_188]),
[final] ).
cnf(i_0_295,plain,
( related_reflexive(X1,X2,X3)
| empty_carrier(X1)
| ~ related(X1,X2,X3)
| ~ reflexive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_189]),
[final] ).
cnf(i_0_296,plain,
( related(X1,X2,X3)
| empty_carrier(X1)
| ~ related_reflexive(X1,X2,X3)
| ~ reflexive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_189]),
[final] ).
cnf(i_0_297,plain,
( element(X1,the_carrier(boole_POSet(cartesian_product2(X2,X3))))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(rw,[status(thm)],[i_0_190,c_0_188]),
[final] ).
cnf(i_0_298,plain,
( upper_relstr_subset(X2,X1)
| related(X1,esk1_2(X1,X2),esk2_2(X1,X2))
| ~ rel_str(X1)
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X1)))) ),
inference(rw,[status(thm)],[i_0_191,c_0_188]),
[final] ).
cnf(i_0_299,plain,
( element(esk30_1(X1),the_carrier(boole_POSet(the_carrier(boole_POSet(the_carrier(X1))))))
| ~ one_sorted_str(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_192,c_0_188]),c_0_188]),
[final] ).
cnf(i_0_300,plain,
( subset(X2,X3)
| ~ related_reflexive(boole_POSet(X1),X2,X3)
| ~ element(X3,the_carrier(boole_POSet(X1)))
| ~ element(X2,the_carrier(boole_POSet(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_193]),
[final] ).
cnf(i_0_301,plain,
( related_reflexive(boole_POSet(X3),X1,X2)
| ~ subset(X1,X2)
| ~ element(X2,the_carrier(boole_POSet(X3)))
| ~ element(X1,the_carrier(boole_POSet(X3))) ),
inference(split_conjunct,[status(thm)],[i_0_193]),
[final] ).
cnf(i_0_302,plain,
( upper_relstr_subset(X2,X1)
| ~ rel_str(X1)
| ~ in(esk2_2(X1,X2),X2)
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X1)))) ),
inference(rw,[status(thm)],[i_0_194,c_0_188]),
[final] ).
cnf(i_0_303,plain,
( upper_relstr_subset(X2,X1)
| element(esk2_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X1)))) ),
inference(rw,[status(thm)],[i_0_195,c_0_188]),
[final] ).
cnf(i_0_304,plain,
( upper_relstr_subset(X2,X1)
| element(esk1_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X1)))) ),
inference(rw,[status(thm)],[i_0_196,c_0_188]),
[final] ).
cnf(i_0_305,plain,
( upper_relstr_subset(X2,X1)
| in(esk1_2(X1,X2),X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X1)))) ),
inference(rw,[status(thm)],[i_0_197,c_0_188]),
[final] ).
cnf(i_0_306,plain,
( relation_of2_as_subset(X1,X2,X3)
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_198]),
[final] ).
cnf(i_0_307,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_198]),
[final] ).
cnf(i_0_308,plain,
( empty_carrier(X1)
| related_reflexive(X1,X2,X2)
| ~ reflexive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_199]),
[final] ).
cnf(i_0_309,plain,
( X1 = X2
| rel_str_of(X1,X3) != rel_str_of(X2,X4)
| ~ relation_of2(X3,X1,X1) ),
inference(split_conjunct,[status(thm)],[i_0_200]),
[final] ).
cnf(i_0_310,plain,
( X1 = X2
| rel_str_of(X3,X1) != rel_str_of(X4,X2)
| ~ relation_of2(X1,X3,X3) ),
inference(split_conjunct,[status(thm)],[i_0_200]),
[final] ).
cnf(i_0_311,plain,
( empty_carrier(X2)
| filtered_subset(X1,X2)
| ~ rel_str(X2)
| ~ connected_relstr(X2)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X2)))) ),
inference(rw,[status(thm)],[i_0_201,c_0_188]),
[final] ).
cnf(i_0_312,plain,
( empty_carrier(X2)
| directed_subset(X1,X2)
| ~ rel_str(X2)
| ~ connected_relstr(X2)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X2)))) ),
inference(rw,[status(thm)],[i_0_202,c_0_188]),
[final] ).
cnf(i_0_313,plain,
( strict_rel_str(rel_str_of(X1,X2))
| ~ relation_of2(X2,X1,X1) ),
inference(split_conjunct,[status(thm)],[i_0_203]),
[final] ).
cnf(i_0_314,plain,
( rel_str(rel_str_of(X1,X2))
| ~ relation_of2(X2,X1,X1) ),
inference(split_conjunct,[status(thm)],[i_0_203]),
[final] ).
cnf(i_0_315,plain,
element(esk25_1(X1),the_carrier(boole_POSet(the_carrier(boole_POSet(X1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_204,c_0_188]),c_0_188]),
[final] ).
cnf(i_0_316,negated_conjecture,
( upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| in(X2,esk36_0)
| ~ subset(X1,X2)
| ~ subset(X2,esk35_0)
| ~ in(X1,esk36_0) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_317,plain,
( empty_carrier(X1)
| element(esk8_1(X1),the_carrier(boole_POSet(the_carrier(X1))))
| ~ rel_str(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1) ),
inference(rw,[status(thm)],[i_0_205,c_0_188]),
[final] ).
cnf(i_0_318,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,the_carrier(boole_POSet(X3))) ),
inference(rw,[status(thm)],[i_0_206,c_0_188]),
[final] ).
cnf(i_0_319,plain,
( empty_carrier(X1)
| element(esk23_1(X1),the_carrier(boole_POSet(the_carrier(X1))))
| ~ rel_str(X1)
| ~ reflexive_relstr(X1) ),
inference(rw,[status(thm)],[i_0_207,c_0_188]),
[final] ).
cnf(i_0_320,plain,
( ~ empty(X3)
| ~ in(X1,X2)
| ~ element(X2,the_carrier(boole_POSet(X3))) ),
inference(rw,[status(thm)],[i_0_208,c_0_188]),
[final] ).
cnf(i_0_321,plain,
relation_of2_as_subset(esk7_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_209]),
[final] ).
cnf(i_0_322,plain,
relation_of2(esk5_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_210]),
[final] ).
cnf(i_0_323,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_211]),
[final] ).
cnf(i_0_324,negated_conjecture,
element(esk36_0,the_carrier(boole_POSet(the_carrier(boole_POSet(esk35_0))))),
inference(rw,[status(thm)],[i_0_212,c_0_188]),
[final] ).
cnf(i_0_325,plain,
( empty_carrier(X1)
| element(esk33_1(X1),the_carrier(boole_POSet(the_carrier(X1))))
| ~ one_sorted_str(X1) ),
inference(rw,[status(thm)],[i_0_213,c_0_188]),
[final] ).
cnf(i_0_326,plain,
( lower_bounded_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ with_suprema_relstr(X1)
| ~ with_infima_relstr(X1)
| ~ bounded_relstr(X1)
| ~ distributive_relstr(X1)
| ~ complemented_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_214]),
[final] ).
cnf(i_0_327,plain,
( upper_bounded_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ with_suprema_relstr(X1)
| ~ with_infima_relstr(X1)
| ~ bounded_relstr(X1)
| ~ distributive_relstr(X1)
| ~ complemented_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_214]),
[final] ).
cnf(i_0_328,plain,
( boolean_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ with_suprema_relstr(X1)
| ~ with_infima_relstr(X1)
| ~ bounded_relstr(X1)
| ~ distributive_relstr(X1)
| ~ complemented_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_214]),
[final] ).
cnf(i_0_329,plain,
( element(esk14_1(X1),the_carrier(boole_POSet(the_carrier(X1))))
| ~ rel_str(X1) ),
inference(rw,[status(thm)],[i_0_215,c_0_188]),
[final] ).
cnf(i_0_330,plain,
( subset(X1,X2)
| ~ element(X1,the_carrier(boole_POSet(X2))) ),
inference(rw,[status(thm)],[i_0_216,c_0_188]),
[final] ).
cnf(i_0_331,plain,
( ~ v1_yellow_3(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ v3_waybel_3(X1)
| ~ with_suprema_relstr(X1)
| ~ with_infima_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_217]),
[final] ).
cnf(i_0_332,plain,
( ~ empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ v3_waybel_3(X1)
| ~ with_suprema_relstr(X1)
| ~ with_infima_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_217]),
[final] ).
cnf(i_0_333,plain,
( ~ empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ with_suprema_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ v2_waybel_3(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_218]),
[final] ).
cnf(i_0_334,plain,
( finite(X2)
| ~ finite(X1)
| ~ element(X2,the_carrier(boole_POSet(X1))) ),
inference(rw,[status(thm)],[i_0_219,c_0_188]),
[final] ).
cnf(i_0_335,plain,
( v2_waybel_2(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ v3_waybel_3(X1)
| ~ with_suprema_relstr(X1)
| ~ with_infima_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_217]),
[final] ).
cnf(i_0_336,plain,
( v1_waybel_2(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ v3_waybel_3(X1)
| ~ with_suprema_relstr(X1)
| ~ with_infima_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_217]),
[final] ).
cnf(i_0_337,plain,
( v3_waybel_3(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ with_suprema_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ v2_waybel_3(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_218]),
[final] ).
cnf(i_0_338,plain,
( bounded_relstr(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ v3_waybel_3(X1)
| ~ with_suprema_relstr(X1)
| ~ with_infima_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_217]),
[final] ).
cnf(i_0_339,plain,
( upper_bounded_relstr(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ v3_waybel_3(X1)
| ~ with_suprema_relstr(X1)
| ~ with_infima_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_217]),
[final] ).
cnf(i_0_340,plain,
( join_complete_relstr(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ v3_waybel_3(X1)
| ~ with_suprema_relstr(X1)
| ~ with_infima_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_217]),
[final] ).
cnf(i_0_341,plain,
( up_complete_relstr(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ v3_waybel_3(X1)
| ~ with_suprema_relstr(X1)
| ~ with_infima_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_217]),
[final] ).
cnf(i_0_342,plain,
( complete_relstr(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ v3_waybel_3(X1)
| ~ with_suprema_relstr(X1)
| ~ with_infima_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_217]),
[final] ).
cnf(i_0_343,plain,
( bounded_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ connected_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_220]),
[final] ).
cnf(i_0_344,plain,
( bounded_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ with_suprema_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_221]),
[final] ).
cnf(i_0_345,plain,
( bounded_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ upper_bounded_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ join_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_222]),
[final] ).
cnf(i_0_346,plain,
( lower_bounded_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ upper_bounded_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ join_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_222]),
[final] ).
cnf(i_0_347,plain,
( upper_bounded_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ connected_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_220]),
[final] ).
cnf(i_0_348,plain,
( upper_bounded_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ with_suprema_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_221]),
[final] ).
cnf(i_0_349,plain,
( with_infima_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ connected_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_220]),
[final] ).
cnf(i_0_350,plain,
( with_infima_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ with_suprema_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_221]),
[final] ).
cnf(i_0_351,plain,
( with_infima_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ upper_bounded_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ join_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_222]),
[final] ).
cnf(i_0_352,plain,
( with_suprema_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ connected_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_220]),
[final] ).
cnf(i_0_353,plain,
( with_suprema_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ upper_bounded_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ join_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_222]),
[final] ).
cnf(i_0_354,plain,
( join_complete_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ connected_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_220]),
[final] ).
cnf(i_0_355,plain,
( complete_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ connected_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_220]),
[final] ).
cnf(i_0_356,plain,
( complete_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ with_suprema_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_221]),
[final] ).
cnf(i_0_357,plain,
( complete_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ upper_bounded_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ join_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_222]),
[final] ).
cnf(i_0_358,plain,
( empty(X1)
| empty(X2)
| ~ empty(cartesian_product2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_223]),
[final] ).
cnf(i_0_359,plain,
( element(X1,the_carrier(boole_POSet(X2)))
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[i_0_224,c_0_188]),
[final] ).
cnf(i_0_360,plain,
( v2_waybel_3(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ complete_relstr(X1)
| ~ connected_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_225]),
[final] ).
cnf(i_0_361,plain,
( upper_relstr_subset(esk8_1(X1),X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_362,plain,
( filtered_subset(esk8_1(X1),X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_363,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_226]),
[final] ).
cnf(i_0_364,plain,
( with_suprema_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ upper_bounded_relstr(X1)
| ~ join_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_227]),
[final] ).
cnf(i_0_365,plain,
( finite(cartesian_product2(X1,X2))
| ~ finite(X1)
| ~ finite(X2) ),
inference(split_conjunct,[status(thm)],[i_0_228]),
[final] ).
cnf(i_0_366,plain,
( empty(X1)
| element(esk31_1(X1),the_carrier(boole_POSet(X1))) ),
inference(rw,[status(thm)],[i_0_229,c_0_188]),
[final] ).
cnf(i_0_367,plain,
( empty(X1)
| element(esk28_1(X1),the_carrier(boole_POSet(X1))) ),
inference(rw,[status(thm)],[i_0_230,c_0_188]),
[final] ).
cnf(i_0_368,plain,
( empty(X1)
| element(esk13_1(X1),the_carrier(boole_POSet(X1))) ),
inference(rw,[status(thm)],[i_0_231,c_0_188]),
[final] ).
cnf(i_0_369,negated_conjecture,
( ~ in(esk38_0,esk36_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_370,plain,
( empty_carrier(X1)
| ~ empty(esk8_1(X1))
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_371,plain,
( X1 = rel_str_of(the_carrier(X1),the_InternalRel(X1))
| ~ rel_str(X1)
| ~ strict_rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_232]),
[final] ).
cnf(i_0_372,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_233]),
[final] ).
cnf(i_0_373,plain,
( filtered_subset(esk23_1(X1),X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_374,plain,
( directed_subset(esk23_1(X1),X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_375,plain,
element(esk22_1(X1),the_carrier(boole_POSet(X1))),
inference(rw,[status(thm)],[i_0_234,c_0_188]),
[final] ).
cnf(i_0_376,plain,
( with_infima_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ join_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_235]),
[final] ).
cnf(i_0_377,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_236]),
[final] ).
cnf(i_0_378,negated_conjecture,
( subset(esk38_0,esk35_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_379,negated_conjecture,
( subset(esk37_0,esk38_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_380,negated_conjecture,
( in(esk37_0,esk36_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_381,plain,
( ~ empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ with_suprema_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_237]),
[final] ).
cnf(i_0_382,plain,
~ empty(the_carrier(boole_POSet(X1))),
inference(rw,[status(thm)],[i_0_238,c_0_188]),
[final] ).
cnf(i_0_383,plain,
( empty_carrier(X1)
| ~ empty(esk23_1(X1))
| ~ reflexive_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_384,plain,
( upper_bounded_relstr(X1)
| ~ reflexive_relstr(X1)
| ~ with_suprema_relstr(X1)
| ~ up_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_237]),
[final] ).
cnf(i_0_385,plain,
( v2_waybel_3(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ v3_waybel_3(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_239]),
[final] ).
cnf(i_0_386,plain,
( v2_waybel_3(X1)
| empty_carrier(X1)
| ~ trivial_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_240]),
[final] ).
cnf(i_0_387,plain,
( connected_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ trivial_carrier(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_241]),
[final] ).
cnf(i_0_388,plain,
( lower_bounded_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ join_complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_242]),
[final] ).
cnf(i_0_389,plain,
( antisymmetric_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ trivial_carrier(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_243]),
[final] ).
cnf(i_0_390,plain,
( transitive_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ trivial_carrier(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_243]),
[final] ).
cnf(i_0_391,plain,
( join_complete_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_244]),
[final] ).
cnf(i_0_392,plain,
( up_complete_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ v3_waybel_3(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_239]),
[final] ).
cnf(i_0_393,plain,
( up_complete_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_244]),
[final] ).
cnf(i_0_394,plain,
( complete_relstr(X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ trivial_carrier(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_243]),
[final] ).
cnf(i_0_395,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_245]),
[final] ).
cnf(i_0_396,plain,
( finite(esk23_1(X1))
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_397,plain,
( v1_yellow_3(X1)
| ~ empty(the_InternalRel(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_246]),
[final] ).
cnf(i_0_398,plain,
( empty_carrier(X1)
| ~ empty(esk33_1(X1))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_399,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_400,plain,
( filtered_subset(esk14_1(X1),X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_401,plain,
( directed_subset(esk14_1(X1),X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_402,plain,
( bounded_relstr(X1)
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1)
| ~ upper_bounded_relstr(X1) ),
inference(split_conjunct,[status(thm)],[i_0_248]),
[final] ).
cnf(i_0_403,plain,
( empty_carrier(X1)
| ~ v1_yellow_3(X1)
| ~ reflexive_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_249]),
[final] ).
cnf(i_0_404,plain,
( ~ empty(esk30_1(X1))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_405,plain,
( complemented_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_406,plain,
( bounded_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_407,plain,
( bounded_relstr(X1)
| empty_carrier(X1)
| ~ complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_251]),
[final] ).
cnf(i_0_408,plain,
( lower_bounded_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_409,plain,
( heyting_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_252]),
[final] ).
cnf(i_0_410,plain,
( distributive_relstr(X1)
| empty_carrier(X1)
| ~ heyting_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_253]),
[final] ).
cnf(i_0_411,plain,
( distributive_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_412,plain,
( distributive_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_252]),
[final] ).
cnf(i_0_413,plain,
( upper_bounded_relstr(X1)
| empty_carrier(X1)
| ~ heyting_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_254]),
[final] ).
cnf(i_0_414,plain,
( upper_bounded_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_415,plain,
( upper_bounded_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_252]),
[final] ).
cnf(i_0_416,plain,
( with_infima_relstr(X1)
| empty_carrier(X1)
| ~ heyting_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_255]),
[final] ).
cnf(i_0_417,plain,
( with_infima_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_418,plain,
( with_infima_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_252]),
[final] ).
cnf(i_0_419,plain,
( with_infima_relstr(X1)
| empty_carrier(X1)
| ~ complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_256]),
[final] ).
cnf(i_0_420,plain,
( with_suprema_relstr(X1)
| empty_carrier(X1)
| ~ heyting_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_255]),
[final] ).
cnf(i_0_421,plain,
( with_suprema_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_422,plain,
( with_suprema_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_252]),
[final] ).
cnf(i_0_423,plain,
( with_suprema_relstr(X1)
| empty_carrier(X1)
| ~ complete_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_256]),
[final] ).
cnf(i_0_424,plain,
( antisymmetric_relstr(X1)
| empty_carrier(X1)
| ~ heyting_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_255]),
[final] ).
cnf(i_0_425,plain,
( antisymmetric_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_426,plain,
( antisymmetric_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_252]),
[final] ).
cnf(i_0_427,plain,
( transitive_relstr(X1)
| empty_carrier(X1)
| ~ heyting_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_255]),
[final] ).
cnf(i_0_428,plain,
( transitive_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_429,plain,
( transitive_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_252]),
[final] ).
cnf(i_0_430,plain,
( reflexive_relstr(X1)
| empty_carrier(X1)
| ~ heyting_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_255]),
[final] ).
cnf(i_0_431,plain,
( reflexive_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_432,plain,
( reflexive_relstr(X1)
| empty_carrier(X1)
| ~ boolean_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_252]),
[final] ).
cnf(i_0_433,plain,
( relation(the_InternalRel(X1))
| v1_yellow_3(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_246]),
[final] ).
cnf(i_0_434,plain,
( ~ rel_str(X1)
| ~ with_infima_relstr(X1)
| ~ empty_carrier(X1) ),
inference(split_conjunct,[status(thm)],[i_0_257]),
[final] ).
cnf(i_0_435,plain,
( ~ rel_str(X1)
| ~ with_suprema_relstr(X1)
| ~ empty_carrier(X1) ),
inference(split_conjunct,[status(thm)],[i_0_258]),
[final] ).
cnf(i_0_436,plain,
( empty(X1)
| ~ trivial_carrier(boole_POSet(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_437,plain,
( empty(X1)
| ~ v1_yellow_3(boole_POSet(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_438,plain,
( empty(X1)
| ~ empty(esk31_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_439,plain,
( empty(X1)
| ~ empty(esk28_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_440,plain,
( empty(X1)
| ~ empty(esk13_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_441,plain,
( empty(X1)
| ~ empty_carrier(boole_POSet(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_442,plain,
element(esk6_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_260]),
[final] ).
cnf(i_0_443,plain,
( v1_yellow_3(X1)
| ~ rel_str(X1)
| ~ empty_carrier(X1) ),
inference(split_conjunct,[status(thm)],[i_0_261]),
[final] ).
cnf(i_0_444,plain,
( v1_yellow_3(X1)
| ~ rel_str(X1)
| ~ empty_carrier(X1) ),
inference(split_conjunct,[status(thm)],[i_0_262]),
[final] ).
cnf(i_0_445,plain,
( lower_bounded_relstr(X1)
| ~ bounded_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_263]),
[final] ).
cnf(i_0_446,plain,
( upper_bounded_relstr(X1)
| ~ bounded_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_263]),
[final] ).
cnf(i_0_447,plain,
( finite(esk30_1(X1))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_448,plain,
~ v1_yellow_3(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_449,plain,
~ empty(esk25_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_450,plain,
~ empty_carrier(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_451,plain,
~ empty_carrier(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_266]),
[final] ).
cnf(i_0_452,plain,
~ empty_carrier(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_267]),
[final] ).
cnf(i_0_453,plain,
~ empty_carrier(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_454,plain,
~ empty_carrier(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_268]),
[final] ).
cnf(i_0_455,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_269]),
[final] ).
cnf(i_0_456,plain,
( complemented_relstr(boole_POSet(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_457,plain,
( finite(esk31_1(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_458,plain,
( finite(esk28_1(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_459,plain,
( bounded_relstr(boole_POSet(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_460,plain,
( lower_bounded_relstr(boole_POSet(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_461,plain,
( heyting_relstr(boole_POSet(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_462,plain,
( distributive_relstr(boole_POSet(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_463,plain,
( upper_bounded_relstr(boole_POSet(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_464,plain,
( with_infima_relstr(boole_POSet(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_465,plain,
( with_suprema_relstr(boole_POSet(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_466,plain,
( antisymmetric_relstr(boole_POSet(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_467,plain,
( transitive_relstr(boole_POSet(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_468,plain,
( boolean_relstr(boole_POSet(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_469,plain,
( join_complete_relstr(boole_POSet(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_470,plain,
( up_complete_relstr(boole_POSet(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_471,plain,
( complete_relstr(boole_POSet(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_472,plain,
( reflexive_relstr(boole_POSet(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_473,plain,
( strict_rel_str(boole_POSet(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_474,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_475,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_271]),
[final] ).
cnf(i_0_476,plain,
( finite(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_272]),
[final] ).
cnf(i_0_477,plain,
complemented_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_478,plain,
complemented_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_479,plain,
finite(esk25_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_480,plain,
empty(esk22_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_481,plain,
bounded_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_482,plain,
bounded_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_266]),
[final] ).
cnf(i_0_483,plain,
bounded_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_484,plain,
bounded_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_268]),
[final] ).
cnf(i_0_485,plain,
lower_bounded_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_486,plain,
lower_bounded_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_266]),
[final] ).
cnf(i_0_487,plain,
lower_bounded_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_488,plain,
lower_bounded_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_268]),
[final] ).
cnf(i_0_489,plain,
heyting_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_490,plain,
distributive_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_491,plain,
distributive_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_492,plain,
distributive_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_268]),
[final] ).
cnf(i_0_493,plain,
upper_bounded_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_494,plain,
upper_bounded_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_266]),
[final] ).
cnf(i_0_495,plain,
upper_bounded_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_496,plain,
upper_bounded_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_268]),
[final] ).
cnf(i_0_497,plain,
with_infima_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_498,plain,
with_infima_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_266]),
[final] ).
cnf(i_0_499,plain,
with_infima_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_500,plain,
with_infima_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_268]),
[final] ).
cnf(i_0_501,plain,
with_suprema_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_502,plain,
with_suprema_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_266]),
[final] ).
cnf(i_0_503,plain,
with_suprema_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_504,plain,
with_suprema_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_268]),
[final] ).
cnf(i_0_505,plain,
antisymmetric_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_506,plain,
antisymmetric_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_266]),
[final] ).
cnf(i_0_507,plain,
antisymmetric_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_267]),
[final] ).
cnf(i_0_508,plain,
antisymmetric_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_509,plain,
antisymmetric_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_268]),
[final] ).
cnf(i_0_510,plain,
transitive_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_511,plain,
transitive_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_266]),
[final] ).
cnf(i_0_512,plain,
transitive_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_267]),
[final] ).
cnf(i_0_513,plain,
transitive_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_514,plain,
transitive_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_268]),
[final] ).
cnf(i_0_515,plain,
boolean_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_516,plain,
join_complete_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_517,plain,
join_complete_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_518,plain,
join_complete_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_268]),
[final] ).
cnf(i_0_519,plain,
up_complete_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_520,plain,
up_complete_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_521,plain,
up_complete_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_268]),
[final] ).
cnf(i_0_522,plain,
complete_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_523,plain,
complete_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_266]),
[final] ).
cnf(i_0_524,plain,
complete_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_525,plain,
complete_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_268]),
[final] ).
cnf(i_0_526,plain,
reflexive_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_527,plain,
reflexive_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_266]),
[final] ).
cnf(i_0_528,plain,
reflexive_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_267]),
[final] ).
cnf(i_0_529,plain,
reflexive_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_530,plain,
reflexive_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_268]),
[final] ).
cnf(i_0_531,plain,
strict_rel_str(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_532,plain,
strict_rel_str(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_266]),
[final] ).
cnf(i_0_533,plain,
strict_rel_str(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_267]),
[final] ).
cnf(i_0_534,plain,
strict_rel_str(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_535,plain,
strict_rel_str(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_268]),
[final] ).
cnf(i_0_536,plain,
strict_rel_str(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_273]),
[final] ).
cnf(i_0_537,plain,
rel_str(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[i_0_273]),
[final] ).
cnf(i_0_538,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_274]),
[final] ).
cnf(i_0_539,plain,
~ trivial_carrier(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_540,plain,
~ v1_yellow_3(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_276]),
[final] ).
cnf(i_0_541,plain,
~ v1_yellow_3(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_542,plain,
~ empty(esk26_0),
inference(split_conjunct,[status(thm)],[i_0_277]),
[final] ).
cnf(i_0_543,plain,
~ empty(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_278]),
[final] ).
cnf(i_0_544,plain,
~ empty_carrier(esk34_0),
inference(split_conjunct,[status(thm)],[i_0_279]),
[final] ).
cnf(i_0_545,plain,
~ empty_carrier(esk32_0),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_546,plain,
~ empty_carrier(esk29_0),
inference(split_conjunct,[status(thm)],[i_0_281]),
[final] ).
cnf(i_0_547,plain,
~ empty_carrier(esk27_0),
inference(split_conjunct,[status(thm)],[i_0_282]),
[final] ).
cnf(i_0_548,plain,
~ empty_carrier(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_549,plain,
~ empty_carrier(esk21_0),
inference(split_conjunct,[status(thm)],[i_0_284]),
[final] ).
cnf(i_0_550,plain,
~ empty_carrier(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_276]),
[final] ).
cnf(i_0_551,plain,
~ empty_carrier(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_285]),
[final] ).
cnf(i_0_552,plain,
~ empty_carrier(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_553,plain,
~ empty_carrier(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_554,plain,
~ empty_carrier(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_555,plain,
~ empty_carrier(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_288]),
[final] ).
cnf(i_0_556,plain,
~ empty_carrier(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_557,plain,
~ empty_carrier(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_290]),
[final] ).
cnf(i_0_558,plain,
one_sorted_str(esk29_0),
inference(split_conjunct,[status(thm)],[i_0_281]),
[final] ).
cnf(i_0_559,plain,
one_sorted_str(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_291]),
[final] ).
cnf(i_0_560,plain,
complemented_relstr(esk32_0),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_561,plain,
complemented_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_562,plain,
v3_waybel_3(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_563,plain,
v3_waybel_3(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_564,plain,
v2_waybel_3(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_565,plain,
v2_waybel_3(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_566,plain,
trivial_carrier(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_285]),
[final] ).
cnf(i_0_567,plain,
connected_relstr(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_568,plain,
connected_relstr(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_290]),
[final] ).
cnf(i_0_569,plain,
finite(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_278]),
[final] ).
cnf(i_0_570,plain,
empty(esk18_0),
inference(split_conjunct,[status(thm)],[i_0_292]),
[final] ).
cnf(i_0_571,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_572,plain,
bounded_relstr(esk32_0),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_573,plain,
bounded_relstr(esk27_0),
inference(split_conjunct,[status(thm)],[i_0_282]),
[final] ).
cnf(i_0_574,plain,
bounded_relstr(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_575,plain,
bounded_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_576,plain,
bounded_relstr(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_577,plain,
bounded_relstr(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_578,plain,
bounded_relstr(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_579,plain,
lower_bounded_relstr(esk32_0),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_580,plain,
lower_bounded_relstr(esk27_0),
inference(split_conjunct,[status(thm)],[i_0_282]),
[final] ).
cnf(i_0_581,plain,
lower_bounded_relstr(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_582,plain,
lower_bounded_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_583,plain,
lower_bounded_relstr(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_584,plain,
lower_bounded_relstr(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_585,plain,
lower_bounded_relstr(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_586,plain,
heyting_relstr(esk34_0),
inference(split_conjunct,[status(thm)],[i_0_279]),
[final] ).
cnf(i_0_587,plain,
heyting_relstr(esk32_0),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_588,plain,
heyting_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_589,plain,
distributive_relstr(esk34_0),
inference(split_conjunct,[status(thm)],[i_0_279]),
[final] ).
cnf(i_0_590,plain,
distributive_relstr(esk32_0),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_591,plain,
distributive_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_592,plain,
distributive_relstr(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_593,plain,
upper_bounded_relstr(esk34_0),
inference(split_conjunct,[status(thm)],[i_0_279]),
[final] ).
cnf(i_0_594,plain,
upper_bounded_relstr(esk32_0),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_595,plain,
upper_bounded_relstr(esk27_0),
inference(split_conjunct,[status(thm)],[i_0_282]),
[final] ).
cnf(i_0_596,plain,
upper_bounded_relstr(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_597,plain,
upper_bounded_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_598,plain,
upper_bounded_relstr(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_599,plain,
upper_bounded_relstr(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_600,plain,
upper_bounded_relstr(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_601,plain,
with_infima_relstr(esk34_0),
inference(split_conjunct,[status(thm)],[i_0_279]),
[final] ).
cnf(i_0_602,plain,
with_infima_relstr(esk32_0),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_603,plain,
with_infima_relstr(esk27_0),
inference(split_conjunct,[status(thm)],[i_0_282]),
[final] ).
cnf(i_0_604,plain,
with_infima_relstr(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_605,plain,
with_infima_relstr(esk21_0),
inference(split_conjunct,[status(thm)],[i_0_284]),
[final] ).
cnf(i_0_606,plain,
with_infima_relstr(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_285]),
[final] ).
cnf(i_0_607,plain,
with_infima_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_608,plain,
with_infima_relstr(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_609,plain,
with_infima_relstr(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_610,plain,
with_infima_relstr(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_611,plain,
with_suprema_relstr(esk34_0),
inference(split_conjunct,[status(thm)],[i_0_279]),
[final] ).
cnf(i_0_612,plain,
with_suprema_relstr(esk32_0),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_613,plain,
with_suprema_relstr(esk27_0),
inference(split_conjunct,[status(thm)],[i_0_282]),
[final] ).
cnf(i_0_614,plain,
with_suprema_relstr(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_615,plain,
with_suprema_relstr(esk21_0),
inference(split_conjunct,[status(thm)],[i_0_284]),
[final] ).
cnf(i_0_616,plain,
with_suprema_relstr(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_285]),
[final] ).
cnf(i_0_617,plain,
with_suprema_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_618,plain,
with_suprema_relstr(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_619,plain,
with_suprema_relstr(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_620,plain,
with_suprema_relstr(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_621,plain,
antisymmetric_relstr(esk34_0),
inference(split_conjunct,[status(thm)],[i_0_279]),
[final] ).
cnf(i_0_622,plain,
antisymmetric_relstr(esk32_0),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_623,plain,
antisymmetric_relstr(esk27_0),
inference(split_conjunct,[status(thm)],[i_0_282]),
[final] ).
cnf(i_0_624,plain,
antisymmetric_relstr(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_625,plain,
antisymmetric_relstr(esk21_0),
inference(split_conjunct,[status(thm)],[i_0_284]),
[final] ).
cnf(i_0_626,plain,
antisymmetric_relstr(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_276]),
[final] ).
cnf(i_0_627,plain,
antisymmetric_relstr(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_285]),
[final] ).
cnf(i_0_628,plain,
antisymmetric_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_629,plain,
antisymmetric_relstr(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_630,plain,
antisymmetric_relstr(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_631,plain,
antisymmetric_relstr(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_288]),
[final] ).
cnf(i_0_632,plain,
antisymmetric_relstr(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_633,plain,
antisymmetric_relstr(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_290]),
[final] ).
cnf(i_0_634,plain,
transitive_relstr(esk34_0),
inference(split_conjunct,[status(thm)],[i_0_279]),
[final] ).
cnf(i_0_635,plain,
transitive_relstr(esk32_0),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_636,plain,
transitive_relstr(esk27_0),
inference(split_conjunct,[status(thm)],[i_0_282]),
[final] ).
cnf(i_0_637,plain,
transitive_relstr(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_638,plain,
transitive_relstr(esk21_0),
inference(split_conjunct,[status(thm)],[i_0_284]),
[final] ).
cnf(i_0_639,plain,
transitive_relstr(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_276]),
[final] ).
cnf(i_0_640,plain,
transitive_relstr(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_285]),
[final] ).
cnf(i_0_641,plain,
transitive_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_642,plain,
transitive_relstr(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_643,plain,
transitive_relstr(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_644,plain,
transitive_relstr(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_288]),
[final] ).
cnf(i_0_645,plain,
transitive_relstr(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_646,plain,
transitive_relstr(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_290]),
[final] ).
cnf(i_0_647,plain,
boolean_relstr(esk32_0),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_648,plain,
boolean_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_649,plain,
join_complete_relstr(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_650,plain,
join_complete_relstr(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_651,plain,
join_complete_relstr(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_652,plain,
join_complete_relstr(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_653,plain,
up_complete_relstr(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_654,plain,
up_complete_relstr(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_655,plain,
up_complete_relstr(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_656,plain,
up_complete_relstr(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_657,plain,
complete_relstr(esk27_0),
inference(split_conjunct,[status(thm)],[i_0_282]),
[final] ).
cnf(i_0_658,plain,
complete_relstr(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_659,plain,
complete_relstr(esk21_0),
inference(split_conjunct,[status(thm)],[i_0_284]),
[final] ).
cnf(i_0_660,plain,
complete_relstr(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_285]),
[final] ).
cnf(i_0_661,plain,
complete_relstr(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_662,plain,
complete_relstr(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_663,plain,
complete_relstr(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_288]),
[final] ).
cnf(i_0_664,plain,
complete_relstr(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_665,plain,
reflexive_relstr(esk34_0),
inference(split_conjunct,[status(thm)],[i_0_279]),
[final] ).
cnf(i_0_666,plain,
reflexive_relstr(esk32_0),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_667,plain,
reflexive_relstr(esk27_0),
inference(split_conjunct,[status(thm)],[i_0_282]),
[final] ).
cnf(i_0_668,plain,
reflexive_relstr(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_669,plain,
reflexive_relstr(esk21_0),
inference(split_conjunct,[status(thm)],[i_0_284]),
[final] ).
cnf(i_0_670,plain,
reflexive_relstr(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_276]),
[final] ).
cnf(i_0_671,plain,
reflexive_relstr(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_285]),
[final] ).
cnf(i_0_672,plain,
reflexive_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_673,plain,
reflexive_relstr(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_674,plain,
reflexive_relstr(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_675,plain,
reflexive_relstr(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_288]),
[final] ).
cnf(i_0_676,plain,
reflexive_relstr(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_677,plain,
reflexive_relstr(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_290]),
[final] ).
cnf(i_0_678,plain,
strict_rel_str(esk34_0),
inference(split_conjunct,[status(thm)],[i_0_279]),
[final] ).
cnf(i_0_679,plain,
strict_rel_str(esk32_0),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_680,plain,
strict_rel_str(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_681,plain,
strict_rel_str(esk21_0),
inference(split_conjunct,[status(thm)],[i_0_284]),
[final] ).
cnf(i_0_682,plain,
strict_rel_str(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_276]),
[final] ).
cnf(i_0_683,plain,
strict_rel_str(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_285]),
[final] ).
cnf(i_0_684,plain,
strict_rel_str(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_685,plain,
strict_rel_str(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_686,plain,
strict_rel_str(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_288]),
[final] ).
cnf(i_0_687,plain,
strict_rel_str(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_688,plain,
rel_str(esk34_0),
inference(split_conjunct,[status(thm)],[i_0_279]),
[final] ).
cnf(i_0_689,plain,
rel_str(esk32_0),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_690,plain,
rel_str(esk27_0),
inference(split_conjunct,[status(thm)],[i_0_282]),
[final] ).
cnf(i_0_691,plain,
rel_str(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_692,plain,
rel_str(esk21_0),
inference(split_conjunct,[status(thm)],[i_0_284]),
[final] ).
cnf(i_0_693,plain,
rel_str(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_276]),
[final] ).
cnf(i_0_694,plain,
rel_str(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_285]),
[final] ).
cnf(i_0_695,plain,
rel_str(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_696,plain,
rel_str(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_286]),
[final] ).
cnf(i_0_697,plain,
rel_str(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_698,plain,
rel_str(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_288]),
[final] ).
cnf(i_0_699,plain,
rel_str(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_700,plain,
rel_str(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_290]),
[final] ).
cnf(i_0_701,plain,
rel_str(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_293]),
[final] ).
cnf(i_0_702,axiom,
X1 = X1 ).
cnf(i_0_703,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_704,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_705,axiom,
( X1 != X2
| rel_str_of(X1,X3) = rel_str_of(X2,X3) ) ).
cnf(i_0_706,axiom,
( X1 != X2
| rel_str_of(X3,X1) = rel_str_of(X3,X2) ) ).
cnf(i_0_707,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_708,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_709,axiom,
( X1 != X2
| ~ one_sorted_str(X1)
| one_sorted_str(X2) ) ).
cnf(i_0_710,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_711,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_712,axiom,
( X1 != X2
| ~ relation_of2(X1,X3,X4)
| relation_of2(X2,X3,X4) ) ).
cnf(i_0_713,axiom,
( X1 != X2
| ~ relation_of2(X3,X1,X4)
| relation_of2(X3,X2,X4) ) ).
cnf(i_0_714,axiom,
( X1 != X2
| ~ relation_of2(X3,X4,X1)
| relation_of2(X3,X4,X2) ) ).
cnf(i_0_715,axiom,
( X1 != X2
| ~ filtered_subset(X1,X3)
| filtered_subset(X2,X3) ) ).
cnf(i_0_716,axiom,
( X1 != X2
| ~ filtered_subset(X3,X1)
| filtered_subset(X3,X2) ) ).
cnf(i_0_717,axiom,
( X1 != X2
| ~ connected_relstr(X1)
| connected_relstr(X2) ) ).
cnf(i_0_718,axiom,
( X1 != X2
| ~ directed_subset(X1,X3)
| directed_subset(X2,X3) ) ).
cnf(i_0_719,axiom,
( X1 != X2
| ~ directed_subset(X3,X1)
| directed_subset(X3,X2) ) ).
cnf(i_0_720,axiom,
( X1 != X2
| ~ strict_rel_str(X1)
| strict_rel_str(X2) ) ).
cnf(i_0_721,axiom,
( X1 != X2
| ~ transitive_relstr(X1)
| transitive_relstr(X2) ) ).
cnf(i_0_722,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_723,axiom,
( X1 != X2
| ~ lower_bounded_relstr(X1)
| lower_bounded_relstr(X2) ) ).
cnf(i_0_724,axiom,
( X1 != X2
| ~ rel_str(X1)
| rel_str(X2) ) ).
cnf(i_0_725,axiom,
( X1 != X2
| ~ antisymmetric_relstr(X1)
| antisymmetric_relstr(X2) ) ).
cnf(i_0_726,axiom,
( X1 != X2
| ~ with_suprema_relstr(X1)
| with_suprema_relstr(X2) ) ).
cnf(i_0_727,axiom,
( X1 != X2
| ~ with_infima_relstr(X1)
| with_infima_relstr(X2) ) ).
cnf(i_0_728,axiom,
( X1 != X2
| ~ bounded_relstr(X1)
| bounded_relstr(X2) ) ).
cnf(i_0_729,axiom,
( X1 != X2
| ~ distributive_relstr(X1)
| distributive_relstr(X2) ) ).
cnf(i_0_730,axiom,
( X1 != X2
| ~ complemented_relstr(X1)
| complemented_relstr(X2) ) ).
cnf(i_0_731,axiom,
( X1 != X2
| ~ upper_bounded_relstr(X1)
| upper_bounded_relstr(X2) ) ).
cnf(i_0_732,axiom,
( X1 != X2
| ~ boolean_relstr(X1)
| boolean_relstr(X2) ) ).
cnf(i_0_733,axiom,
( X1 != X2
| ~ v1_yellow_3(X1)
| v1_yellow_3(X2) ) ).
cnf(i_0_734,axiom,
( X1 != X2
| ~ v3_waybel_3(X1)
| v3_waybel_3(X2) ) ).
cnf(i_0_735,axiom,
( X1 != X2
| ~ upper_relstr_subset(X1,X3)
| upper_relstr_subset(X2,X3) ) ).
cnf(i_0_736,axiom,
( X1 != X2
| ~ upper_relstr_subset(X3,X1)
| upper_relstr_subset(X3,X2) ) ).
cnf(i_0_737,axiom,
( X1 != X2
| ~ up_complete_relstr(X1)
| up_complete_relstr(X2) ) ).
cnf(i_0_738,axiom,
( X1 != X2
| ~ v2_waybel_3(X1)
| v2_waybel_3(X2) ) ).
cnf(i_0_739,axiom,
( X1 != X2
| ~ finite(X1)
| finite(X2) ) ).
cnf(i_0_740,axiom,
( X1 != X2
| ~ v2_waybel_2(X1)
| v2_waybel_2(X2) ) ).
cnf(i_0_741,axiom,
( X1 != X2
| ~ v1_waybel_2(X1)
| v1_waybel_2(X2) ) ).
cnf(i_0_742,axiom,
( X1 != X2
| ~ join_complete_relstr(X1)
| join_complete_relstr(X2) ) ).
cnf(i_0_743,axiom,
( X1 != X2
| ~ complete_relstr(X1)
| complete_relstr(X2) ) ).
cnf(i_0_744,axiom,
( X1 != X2
| ~ trivial_carrier(X1)
| trivial_carrier(X2) ) ).
cnf(i_0_745,axiom,
( X1 != X2
| ~ heyting_relstr(X1)
| heyting_relstr(X2) ) ).
cnf(i_0_746,axiom,
( X1 != X2
| ~ relation(X1)
| relation(X2) ) ).
cnf(i_0_747,axiom,
( X1 != X2
| ~ related(X1,X3,X4)
| related(X2,X3,X4) ) ).
cnf(i_0_748,axiom,
( X1 != X2
| ~ related(X3,X1,X4)
| related(X3,X2,X4) ) ).
cnf(i_0_749,axiom,
( X1 != X2
| ~ related(X3,X4,X1)
| related(X3,X4,X2) ) ).
cnf(i_0_750,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_751,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_752,axiom,
( X1 != X2
| ~ related_reflexive(X1,X3,X4)
| related_reflexive(X2,X3,X4) ) ).
cnf(i_0_753,axiom,
( X1 != X2
| ~ related_reflexive(X3,X1,X4)
| related_reflexive(X3,X2,X4) ) ).
cnf(i_0_754,axiom,
( X1 != X2
| ~ related_reflexive(X3,X4,X1)
| related_reflexive(X3,X4,X2) ) ).
cnf(i_0_755,axiom,
( X1 != X2
| ~ empty_carrier(X1)
| empty_carrier(X2) ) ).
cnf(i_0_756,axiom,
( X1 != X2
| ~ reflexive_relstr(X1)
| reflexive_relstr(X2) ) ).
cnf(i_0_757,axiom,
( X1 != X2
| ~ relation_of2_as_subset(X1,X3,X4)
| relation_of2_as_subset(X2,X3,X4) ) ).
cnf(i_0_758,axiom,
( X1 != X2
| ~ relation_of2_as_subset(X3,X1,X4)
| relation_of2_as_subset(X3,X2,X4) ) ).
cnf(i_0_759,axiom,
( X1 != X2
| ~ relation_of2_as_subset(X3,X4,X1)
| relation_of2_as_subset(X3,X4,X2) ) ).
cnf(i_0_3483,plain,
element(X1,the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_2271]) ).
cnf(i_0_3510,plain,
relation_of2(esk7_2(X1,esk22_1(X2)),X1,empty_set),
inference(rename_variables,[],[i_0_2291]) ).
cnf(i_0_3513,plain,
relation_of2(esk7_2(X1,esk22_1(X2)),X1,empty_set),
inference(rename_variables,[],[i_0_2291]) ).
cnf(i_0_3571,plain,
element(X1,the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_2271]) ).
cnf(i_0_3740,plain,
~ in(X1,esk6_1(the_carrier(boole_POSet(empty_set)))),
inference(rename_variables,[],[i_0_852]) ).
cnf(i_0_3744,plain,
element(esk5_2(X1,X2),the_carrier(boole_POSet(cartesian_product2(X1,X2)))),
inference(rename_variables,[],[i_0_2283]) ).
cnf(i_0_3860,plain,
relation_of2(esk7_2(esk22_1(X1),X2),empty_set,X2),
inference(rename_variables,[],[i_0_2289]) ).
cnf(i_0_3862,plain,
element(X1,the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_2271]) ).
cnf(i_0_961,plain,
with_suprema_relstr(esk12_0),
inference(equality_inference,[],[944]) ).
cnf(i_0_962,plain,
with_infima_relstr(esk12_0),
inference(equality_inference,[],[956]) ).
cnf(i_0_963,plain,
bounded_relstr(esk21_0),
inference(equality_inference,[],[957]) ).
cnf(i_0_964,plain,
distributive_relstr(esk34_0),
inference(equality_inference,[],[958]) ).
cnf(i_0_965,plain,
complemented_relstr(esk32_0),
inference(equality_inference,[],[959]) ).
cnf(i_0_966,plain,
upper_bounded_relstr(esk21_0),
inference(equality_inference,[],[960]) ).
cnf(i_0_969,plain,
subset(esk6_1(esk25_1(X1)),X1),
inference(scs_inference,[],[i_0_945,i_0_696,i_0_475,i_0_330]) ).
cnf(i_0_971,plain,
finite(esk6_1(esk25_1(esk6_1(the_carrier(boole_POSet(esk11_0)))))),
inference(scs_inference,[],[i_0_945,i_0_777,i_0_696,i_0_475,i_0_330,i_0_334]) ).
cnf(i_0_972,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_975,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_978,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_988,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_990,plain,
related_reflexive(boole_POSet(X1),esk6_1(esk25_1(X1)),esk6_1(esk25_1(X1))),
inference(rename_variables,[],[i_0_952]) ).
cnf(i_0_1012,plain,
~ in(X1,esk6_1(esk25_1(esk22_1(X2)))),
inference(scs_inference,[],[i_0_945,i_0_697,i_0_375,i_0_480,i_0_475,i_0_330,i_0_320]) ).
cnf(i_0_1013,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_1015,plain,
in(esk22_1(X1),the_carrier(boole_POSet(X1))),
inference(scs_inference,[],[i_0_945,i_0_697,i_0_375,i_0_480,i_0_382,i_0_475,i_0_330,i_0_320,i_0_372]) ).
cnf(i_0_1018,plain,
the_carrier(boole_POSet(the_carrier(boole_POSet(X1)))) != esk6_1(esk25_1(X1)),
inference(scs_inference,[],[i_0_855,i_0_942,i_0_945,i_0_697,i_0_375,i_0_480,i_0_382,i_0_475,i_0_330,i_0_320,i_0_372,i_0_708]) ).
cnf(i_0_1019,plain,
~ in(esk25_1(X1),esk6_1(esk25_1(X1))),
inference(rename_variables,[],[i_0_942]) ).
cnf(i_0_1020,plain,
esk22_1(X1) != esk11_0,
inference(scs_inference,[],[i_0_855,i_0_942,i_0_945,i_0_697,i_0_375,i_0_480,i_0_543,i_0_382,i_0_475,i_0_330,i_0_320,i_0_372,i_0_708,i_0_722]) ).
cnf(i_0_1106,plain,
~ in(X1,esk6_1(esk25_1(empty_set))),
inference(scs_inference,[],[i_0_945,i_0_699,i_0_571,i_0_475,i_0_320]) ).
cnf(i_0_1107,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_1109,plain,
the_carrier(boole_POSet(the_carrier(boole_POSet(esk35_0)))) != empty_set,
inference(scs_inference,[],[i_0_945,i_0_780,i_0_847,i_0_699,i_0_571,i_0_475,i_0_320,i_0_708]) ).
cnf(i_0_1111,plain,
empty_set != esk25_1(X1),
inference(scs_inference,[],[i_0_945,i_0_780,i_0_847,i_0_699,i_0_571,i_0_449,i_0_475,i_0_320,i_0_708,i_0_722]) ).
cnf(i_0_1175,plain,
lower_bounded_relstr(esk19_0),
inference(equality_inference,[],[1169]) ).
cnf(i_0_1176,plain,
antisymmetric_relstr(esk27_0),
inference(equality_inference,[],[1170]) ).
cnf(i_0_1177,plain,
with_infima_relstr(esk32_0),
inference(equality_inference,[],[1171]) ).
cnf(i_0_1298,plain,
join_complete_relstr(esk19_0),
inference(equality_inference,[],[1293]) ).
cnf(i_0_1353,plain,
v2_waybel_2(esk16_0),
inference(equality_inference,[],[1347]) ).
cnf(i_0_1354,plain,
v1_waybel_2(esk16_0),
inference(equality_inference,[],[1348]) ).
cnf(i_0_1548,plain,
~ in(the_carrier(boole_POSet(the_carrier(boole_POSet(X1)))),esk25_1(X1)),
inference(equality_inference,[],[1542]) ).
cnf(i_0_1549,plain,
reflexive_relstr(esk12_0),
inference(equality_inference,[],[1543]) ).
cnf(i_0_1550,plain,
one_sorted_str(esk20_0),
inference(equality_inference,[],[1544]) ).
cnf(i_0_1551,plain,
strict_rel_str(boole_POSet(X1)),
inference(equality_inference,[],[1545]) ).
cnf(i_0_1645,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_1672,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_1676,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_1680,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_1794,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_1797,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_1906,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_1998,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_2001,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_2005,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_2025,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_2028,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_2032,plain,
related_reflexive(boole_POSet(X1),esk6_1(esk25_1(X1)),esk6_1(esk25_1(X1))),
inference(rename_variables,[],[i_0_952]) ).
cnf(i_0_2047,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_2218,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_2228,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_2294,plain,
related(boole_POSet(the_carrier(esk32_0)),empty_set,esk22_1(the_carrier(esk32_0))),
inference(scs_inference,[],[i_0_784,i_0_930,i_0_1339,i_0_768,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_1179,i_0_474,i_0_701,i_0_542,i_0_480,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748]) ).
cnf(i_0_2295,plain,
related(boole_POSet(X1),esk22_1(X1),esk22_1(X1)),
inference(rename_variables,[],[i_0_930]) ).
cnf(i_0_2297,plain,
related(boole_POSet(X1),esk22_1(X1),esk22_1(X1)),
inference(rename_variables,[],[i_0_930]) ).
cnf(i_0_2507,plain,
related(boole_POSet(X1),esk22_1(X1),esk22_1(X1)),
inference(rename_variables,[],[i_0_930]) ).
cnf(i_0_2680,plain,
related_reflexive(boole_POSet(X1),esk6_1(esk25_1(X1)),esk6_1(esk25_1(X1))),
inference(rename_variables,[],[i_0_952]) ).
cnf(i_0_2830,plain,
related_reflexive(boole_POSet(X1),esk6_1(esk25_1(X1)),esk6_1(esk25_1(X1))),
inference(rename_variables,[],[i_0_952]) ).
cnf(i_0_2982,plain,
related_reflexive(boole_POSet(X1),esk6_1(esk25_1(X1)),esk6_1(esk25_1(X1))),
inference(rename_variables,[],[i_0_952]) ).
cnf(i_0_2984,plain,
related_reflexive(boole_POSet(X1),esk6_1(esk25_1(X1)),esk6_1(esk25_1(X1))),
inference(rename_variables,[],[i_0_952]) ).
cnf(i_0_3131,plain,
related(boole_POSet(X1),esk22_1(X1),esk22_1(X1)),
inference(rename_variables,[],[i_0_930]) ).
cnf(i_0_3175,plain,
related_reflexive(boole_POSet(X1),esk6_1(esk25_1(X1)),esk6_1(esk25_1(X1))),
inference(rename_variables,[],[i_0_952]) ).
cnf(i_0_3337,plain,
related_reflexive(boole_POSet(X1),esk6_1(esk25_1(X1)),esk6_1(esk25_1(X1))),
inference(rename_variables,[],[i_0_952]) ).
cnf(i_0_3460,plain,
element(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_945]) ).
cnf(i_0_974,plain,
~ in(X1,esk6_1(esk25_1(esk18_0))),
inference(scs_inference,[],[i_0_945,i_0_972,i_0_777,i_0_696,i_0_570,i_0_475,i_0_330,i_0_334,i_0_320]) ).
cnf(i_0_977,plain,
in(esk6_1(esk25_1(X1)),the_carrier(boole_POSet(X1))),
inference(scs_inference,[],[i_0_945,i_0_972,i_0_975,i_0_777,i_0_696,i_0_382,i_0_570,i_0_475,i_0_330,i_0_334,i_0_320,i_0_372]) ).
cnf(i_0_980,plain,
the_carrier(boole_POSet(the_carrier(boole_POSet(esk35_0)))) != esk22_1(X1),
inference(scs_inference,[],[i_0_780,i_0_908,i_0_945,i_0_972,i_0_975,i_0_777,i_0_696,i_0_382,i_0_570,i_0_475,i_0_330,i_0_334,i_0_320,i_0_372,i_0_708]) ).
cnf(i_0_982,plain,
empty_set != esk26_0,
inference(scs_inference,[],[i_0_780,i_0_908,i_0_945,i_0_972,i_0_975,i_0_777,i_0_696,i_0_542,i_0_382,i_0_570,i_0_571,i_0_475,i_0_330,i_0_334,i_0_320,i_0_372,i_0_708,i_0_722]) ).
cnf(i_0_983,plain,
join_complete_relstr(esk12_0),
inference(scs_inference,[],[i_0_780,i_0_908,i_0_945,i_0_972,i_0_975,i_0_777,i_0_696,i_0_555,i_0_698,i_0_675,i_0_542,i_0_382,i_0_570,i_0_571,i_0_663,i_0_475,i_0_330,i_0_334,i_0_320,i_0_372,i_0_708,i_0_722,i_0_391]) ).
cnf(i_0_985,plain,
up_complete_relstr(esk12_0),
inference(scs_inference,[],[i_0_780,i_0_908,i_0_945,i_0_972,i_0_975,i_0_777,i_0_696,i_0_555,i_0_698,i_0_675,i_0_542,i_0_382,i_0_570,i_0_571,i_0_663,i_0_475,i_0_330,i_0_334,i_0_320,i_0_372,i_0_708,i_0_722,i_0_391,i_0_393]) ).
cnf(i_0_987,plain,
related(boole_POSet(X1),esk6_1(esk25_1(X1)),esk6_1(esk25_1(X1))),
inference(scs_inference,[],[i_0_780,i_0_908,i_0_952,i_0_945,i_0_972,i_0_975,i_0_978,i_0_777,i_0_696,i_0_555,i_0_537,i_0_698,i_0_675,i_0_542,i_0_382,i_0_530,i_0_570,i_0_571,i_0_454,i_0_663,i_0_475,i_0_330,i_0_334,i_0_320,i_0_372,i_0_708,i_0_722,i_0_391,i_0_393,i_0_296]) ).
cnf(i_0_993,plain,
~ v1_yellow_3(esk19_0),
inference(scs_inference,[],[i_0_780,i_0_908,i_0_952,i_0_945,i_0_972,i_0_975,i_0_978,i_0_777,i_0_671,i_0_696,i_0_555,i_0_694,i_0_537,i_0_698,i_0_675,i_0_542,i_0_382,i_0_530,i_0_570,i_0_571,i_0_454,i_0_884,i_0_888,i_0_640,i_0_606,i_0_616,i_0_627,i_0_663,i_0_475,i_0_330,i_0_334,i_0_320,i_0_372,i_0_708,i_0_722,i_0_391,i_0_393,i_0_296,i_0_331]) ).
cnf(i_0_995,plain,
v2_waybel_2(esk19_0),
inference(scs_inference,[],[i_0_780,i_0_908,i_0_952,i_0_945,i_0_972,i_0_975,i_0_978,i_0_777,i_0_671,i_0_696,i_0_555,i_0_694,i_0_537,i_0_698,i_0_675,i_0_542,i_0_382,i_0_530,i_0_570,i_0_571,i_0_454,i_0_884,i_0_888,i_0_640,i_0_606,i_0_616,i_0_627,i_0_663,i_0_475,i_0_330,i_0_334,i_0_320,i_0_372,i_0_708,i_0_722,i_0_391,i_0_393,i_0_296,i_0_331,i_0_335]) ).
cnf(i_0_997,plain,
v1_waybel_2(esk19_0),
inference(scs_inference,[],[i_0_780,i_0_908,i_0_952,i_0_945,i_0_972,i_0_975,i_0_978,i_0_777,i_0_671,i_0_696,i_0_555,i_0_694,i_0_537,i_0_698,i_0_675,i_0_542,i_0_382,i_0_530,i_0_570,i_0_571,i_0_454,i_0_884,i_0_888,i_0_640,i_0_606,i_0_616,i_0_627,i_0_663,i_0_475,i_0_330,i_0_334,i_0_320,i_0_372,i_0_708,i_0_722,i_0_391,i_0_393,i_0_296,i_0_331,i_0_335,i_0_336]) ).
cnf(i_0_999,plain,
~ in(the_carrier(boole_POSet(X1)),esk6_1(esk25_1(X1))),
inference(scs_inference,[],[i_0_780,i_0_908,i_0_952,i_0_945,i_0_972,i_0_975,i_0_978,i_0_777,i_0_671,i_0_696,i_0_555,i_0_694,i_0_537,i_0_698,i_0_675,i_0_542,i_0_382,i_0_530,i_0_570,i_0_571,i_0_454,i_0_884,i_0_888,i_0_640,i_0_606,i_0_616,i_0_627,i_0_663,i_0_475,i_0_330,i_0_334,i_0_320,i_0_372,i_0_708,i_0_722,i_0_391,i_0_393,i_0_296,i_0_331,i_0_335,i_0_336,i_0_363]) ).
cnf(i_0_1025,plain,
join_complete_relstr(esk27_0),
inference(equality_inference,[],[1021]) ).
cnf(i_0_1031,plain,
the_carrier(boole_POSet(the_carrier(boole_POSet(esk35_0)))) != esk6_1(esk25_1(esk22_1(X1))),
inference(scs_inference,[],[i_0_780,i_0_1012,i_0_694,i_0_542,i_0_442,i_0_475,i_0_372,i_0_708]) ).
cnf(i_0_1032,plain,
~ in(X1,esk6_1(esk25_1(esk22_1(X2)))),
inference(rename_variables,[],[i_0_1012]) ).
cnf(i_0_1033,plain,
esk22_1(X1) != esk26_0,
inference(scs_inference,[],[i_0_780,i_0_1012,i_0_694,i_0_480,i_0_542,i_0_442,i_0_475,i_0_372,i_0_708,i_0_722]) ).
cnf(i_0_1034,plain,
~ in(esk26_0,esk6_1(esk26_0)),
inference(scs_inference,[],[i_0_780,i_0_1012,i_0_694,i_0_480,i_0_542,i_0_442,i_0_475,i_0_372,i_0_708,i_0_722,i_0_363]) ).
cnf(i_0_1118,plain,
distributive_relstr(esk32_0),
inference(equality_inference,[],[1112]) ).
cnf(i_0_1119,plain,
complemented_relstr(esk17_0),
inference(equality_inference,[],[1113]) ).
cnf(i_0_1120,plain,
upper_bounded_relstr(esk19_0),
inference(equality_inference,[],[1114]) ).
cnf(i_0_1121,plain,
boolean_relstr(esk17_0),
inference(equality_inference,[],[1115]) ).
cnf(i_0_1122,plain,
v3_waybel_3(esk15_0),
inference(equality_inference,[],[1116]) ).
cnf(i_0_1123,plain,
up_complete_relstr(esk19_0),
inference(equality_inference,[],[1117]) ).
cnf(i_0_1126,plain,
the_carrier(boole_POSet(the_carrier(boole_POSet(esk35_0)))) != esk6_1(esk25_1(empty_set)),
inference(scs_inference,[],[i_0_780,i_0_1106,i_0_537,i_0_475,i_0_708]) ).
cnf(i_0_1127,plain,
~ in(X1,esk6_1(esk25_1(empty_set))),
inference(rename_variables,[],[i_0_1106]) ).
cnf(i_0_1128,plain,
esk18_0 != esk25_1(X1),
inference(scs_inference,[],[i_0_780,i_0_1106,i_0_537,i_0_570,i_0_449,i_0_475,i_0_708,i_0_722]) ).
cnf(i_0_1151,plain,
connected_relstr(esk19_0),
inference(equality_inference,[],[1147]) ).
cnf(i_0_1152,plain,
rel_str(esk17_0),
inference(equality_inference,[],[1148]) ).
cnf(i_0_1178,plain,
bounded_relstr(esk12_0),
inference(equality_inference,[],[1172]) ).
cnf(i_0_1189,plain,
upper_bounded_relstr(esk12_0),
inference(equality_inference,[],[1183]) ).
cnf(i_0_1190,plain,
boolean_relstr(boole_POSet(X1)),
inference(equality_inference,[],[1184]) ).
cnf(i_0_1191,plain,
v3_waybel_3(esk19_0),
inference(equality_inference,[],[1185]) ).
cnf(i_0_1192,plain,
up_complete_relstr(esk21_0),
inference(equality_inference,[],[1186]) ).
cnf(i_0_1202,plain,
v2_waybel_2(esk15_0),
inference(equality_inference,[],[1196]) ).
cnf(i_0_1203,plain,
v1_waybel_2(esk15_0),
inference(equality_inference,[],[1197]) ).
cnf(i_0_1204,plain,
join_complete_relstr(esk21_0),
inference(equality_inference,[],[1198]) ).
cnf(i_0_1205,plain,
complete_relstr(esk10_0),
inference(equality_inference,[],[1199]) ).
cnf(i_0_1206,plain,
heyting_relstr(esk17_0),
inference(equality_inference,[],[1200]) ).
cnf(i_0_1216,plain,
~ in(esk25_1(X1),esk6_1(esk25_1(X1))),
inference(equality_inference,[],[1210]) ).
cnf(i_0_1217,plain,
rel_str(esk24_0),
inference(equality_inference,[],[1211]) ).
cnf(i_0_1218,plain,
finite(esk6_1(the_carrier(boole_POSet(esk11_0)))),
inference(equality_inference,[],[1212]) ).
cnf(i_0_1219,plain,
reflexive_relstr(esk24_0),
inference(equality_inference,[],[1213]) ).
cnf(i_0_1220,plain,
one_sorted_str(esk34_0),
inference(equality_inference,[],[1214]) ).
cnf(i_0_2042,plain,
subset(esk6_1(esk25_1(X1)),X1),
inference(rename_variables,[],[i_0_969]) ).
cnf(i_0_2217,plain,
finite(esk6_1(esk25_1(esk6_1(esk25_1(esk6_1(the_carrier(boole_POSet(esk11_0)))))))),
inference(scs_inference,[],[i_0_945,i_0_780,i_0_910,i_0_971,i_0_708,i_0_334]) ).
cnf(i_0_2296,plain,
related(boole_POSet(the_carrier(esk32_0)),esk22_1(the_carrier(esk32_0)),empty_set),
inference(scs_inference,[],[i_0_784,i_0_930,i_0_2295,i_0_1339,i_0_768,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_1179,i_0_474,i_0_701,i_0_542,i_0_480,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749]) ).
cnf(i_0_2298,plain,
element(empty_set,the_carrier(boole_POSet(the_carrier(esk32_0)))),
inference(scs_inference,[],[i_0_784,i_0_930,i_0_2295,i_0_1339,i_0_768,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_1179,i_0_474,i_0_701,i_0_542,i_0_480,i_0_375,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750]) ).
cnf(i_0_2300,plain,
element(esk6_1(esk22_1(the_carrier(esk32_0))),empty_set),
inference(scs_inference,[],[i_0_784,i_0_930,i_0_2295,i_0_1339,i_0_768,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_1179,i_0_474,i_0_701,i_0_542,i_0_480,i_0_442,i_0_375,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751]) ).
cnf(i_0_2302,plain,
relation_of2_as_subset(esk5_2(esk22_1(the_carrier(esk32_0)),X1),empty_set,X1),
inference(scs_inference,[],[i_0_784,i_0_930,i_0_2295,i_0_1339,i_0_768,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_1179,i_0_474,i_0_701,i_0_542,i_0_480,i_0_442,i_0_375,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758]) ).
cnf(i_0_2304,plain,
relation_of2_as_subset(esk5_2(X1,esk22_1(the_carrier(esk32_0))),X1,empty_set),
inference(scs_inference,[],[i_0_784,i_0_930,i_0_2295,i_0_1339,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_1179,i_0_474,i_0_701,i_0_542,i_0_480,i_0_442,i_0_375,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759]) ).
cnf(i_0_2306,plain,
~ empty(the_InternalRel(esk15_0)),
inference(scs_inference,[],[i_0_784,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_1179,i_0_474,i_0_701,i_0_542,i_0_480,i_0_442,i_0_697,i_0_375,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397]) ).
cnf(i_0_2308,plain,
~ empty(esk33_1(esk12_0)),
inference(scs_inference,[],[i_0_784,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_1179,i_0_474,i_0_701,i_0_542,i_0_480,i_0_442,i_0_697,i_0_555,i_0_375,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398]) ).
cnf(i_0_2310,plain,
~ empty(the_carrier(esk12_0)),
inference(scs_inference,[],[i_0_784,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_1179,i_0_474,i_0_701,i_0_542,i_0_480,i_0_442,i_0_697,i_0_555,i_0_375,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399]) ).
cnf(i_0_2312,plain,
relation(the_InternalRel(esk20_0)),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_1179,i_0_474,i_0_701,i_0_542,i_0_480,i_0_442,i_0_697,i_0_555,i_0_375,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433]) ).
cnf(i_0_2314,plain,
~ empty(cartesian_product2(esk26_0,esk26_0)),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_1179,i_0_474,i_0_701,i_0_542,i_0_480,i_0_442,i_0_697,i_0_555,i_0_375,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358]) ).
cnf(i_0_2316,plain,
finite(cartesian_product2(esk18_0,esk18_0)),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_1179,i_0_766,i_0_474,i_0_701,i_0_542,i_0_480,i_0_442,i_0_697,i_0_555,i_0_375,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365]) ).
cnf(i_0_2318,plain,
esk16_0 = rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0)),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_1179,i_0_685,i_0_766,i_0_474,i_0_701,i_0_542,i_0_480,i_0_442,i_0_697,i_0_696,i_0_555,i_0_375,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371]) ).
cnf(i_0_2320,plain,
element(esk33_1(esk12_0),the_carrier(boole_POSet(the_carrier(esk12_0)))),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_1179,i_0_685,i_0_766,i_0_474,i_0_701,i_0_542,i_0_480,i_0_442,i_0_697,i_0_696,i_0_555,i_0_375,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325]) ).
cnf(i_0_2322,plain,
rel_str_of(esk18_0,esk7_2(esk18_0,esk18_0)) != rel_str_of(esk26_0,X1),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_685,i_0_766,i_0_474,i_0_701,i_0_542,i_0_480,i_0_442,i_0_697,i_0_696,i_0_555,i_0_375,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309]) ).
cnf(i_0_2325,plain,
esk19_0 != boole_POSet(esk26_0),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_685,i_0_766,i_0_474,i_0_566,i_0_701,i_0_542,i_0_480,i_0_442,i_0_697,i_0_696,i_0_555,i_0_375,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744]) ).
cnf(i_0_2326,plain,
subset(empty_set,the_carrier(esk32_0)),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1010,i_0_685,i_0_766,i_0_474,i_0_566,i_0_701,i_0_542,i_0_480,i_0_442,i_0_697,i_0_696,i_0_555,i_0_375,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710]) ).
cnf(i_0_2328,plain,
subset(esk6_1(the_carrier(boole_POSet(esk22_1(the_carrier(esk32_0))))),empty_set),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1010,i_0_685,i_0_766,i_0_474,i_0_566,i_0_701,i_0_542,i_0_480,i_0_442,i_0_697,i_0_696,i_0_555,i_0_375,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711]) ).
cnf(i_0_2330,plain,
related_reflexive(boole_POSet(the_carrier(esk32_0)),empty_set,esk22_1(the_carrier(esk32_0))),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1010,i_0_685,i_0_766,i_0_474,i_0_803,i_0_566,i_0_701,i_0_542,i_0_480,i_0_442,i_0_697,i_0_696,i_0_555,i_0_375,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753]) ).
cnf(i_0_2332,plain,
related_reflexive(boole_POSet(the_carrier(esk32_0)),esk22_1(the_carrier(esk32_0)),empty_set),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1010,i_0_685,i_0_766,i_0_474,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_542,i_0_480,i_0_442,i_0_697,i_0_696,i_0_555,i_0_375,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754]) ).
cnf(i_0_2334,plain,
empty_set != the_carrier(boole_POSet(X1)),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1010,i_0_685,i_0_766,i_0_474,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_542,i_0_571,i_0_480,i_0_442,i_0_697,i_0_696,i_0_555,i_0_375,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722]) ).
cnf(i_0_2335,plain,
~ element(the_carrier(boole_POSet(the_carrier(boole_POSet(X1)))),esk25_1(X1)),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1010,i_0_685,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_542,i_0_449,i_0_571,i_0_480,i_0_442,i_0_697,i_0_696,i_0_555,i_0_375,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372]) ).
cnf(i_0_2338,plain,
~ element(esk26_0,the_carrier(boole_POSet(empty_set))),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1010,i_0_685,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_542,i_0_449,i_0_571,i_0_480,i_0_442,i_0_697,i_0_696,i_0_555,i_0_375,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320]) ).
cnf(i_0_2340,plain,
in(empty_set,the_carrier(boole_POSet(the_carrier(esk32_0)))),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_685,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_542,i_0_449,i_0_571,i_0_480,i_0_442,i_0_697,i_0_696,i_0_555,i_0_375,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707]) ).
cnf(i_0_2341,plain,
in(esk22_1(X1),the_carrier(boole_POSet(X1))),
inference(rename_variables,[],[i_0_1015]) ).
cnf(i_0_2345,plain,
~ v1_yellow_3(esk12_0),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_685,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_542,i_0_449,i_0_675,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_697,i_0_696,i_0_555,i_0_698,i_0_375,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403]) ).
cnf(i_0_2347,plain,
~ empty(esk23_1(esk12_0)),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_685,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_542,i_0_449,i_0_675,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_697,i_0_696,i_0_555,i_0_698,i_0_375,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383]) ).
cnf(i_0_2349,plain,
finite(esk23_1(esk24_0)),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_685,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_542,i_0_449,i_0_675,i_0_548,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_697,i_0_696,i_0_691,i_0_555,i_0_698,i_0_375,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396]) ).
cnf(i_0_2351,plain,
filtered_subset(esk23_1(esk24_0),esk24_0),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_685,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_542,i_0_449,i_0_675,i_0_548,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_697,i_0_696,i_0_691,i_0_555,i_0_698,i_0_375,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373]) ).
cnf(i_0_2353,plain,
directed_subset(esk23_1(esk24_0),esk24_0),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_685,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_542,i_0_449,i_0_675,i_0_548,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_697,i_0_696,i_0_691,i_0_555,i_0_698,i_0_375,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374]) ).
cnf(i_0_2355,plain,
element(esk23_1(esk15_0),the_carrier(boole_POSet(the_carrier(esk15_0)))),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_685,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_674,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_697,i_0_696,i_0_691,i_0_555,i_0_698,i_0_375,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319]) ).
cnf(i_0_2357,plain,
subset(empty_set,esk22_1(the_carrier(esk32_0))),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_685,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_674,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_697,i_0_696,i_0_691,i_0_555,i_0_698,i_0_375,i_0_2299,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300]) ).
cnf(i_0_2360,plain,
upper_relstr_subset(esk22_1(the_carrier(esk3_0)),esk3_0),
inference(scs_inference,[],[i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_685,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_908,i_0_674,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_697,i_0_696,i_0_691,i_0_555,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305]) ).
cnf(i_0_2366,plain,
~ empty(esk8_1(esk12_0)),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_908,i_0_674,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_697,i_0_696,i_0_691,i_0_555,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370]) ).
cnf(i_0_2368,plain,
upper_relstr_subset(esk8_1(esk24_0),esk24_0),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_908,i_0_674,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_697,i_0_696,i_0_691,i_0_555,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361]) ).
cnf(i_0_2370,plain,
filtered_subset(esk8_1(esk24_0),esk24_0),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_908,i_0_674,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_697,i_0_696,i_0_691,i_0_555,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362]) ).
cnf(i_0_2372,plain,
element(esk8_1(esk15_0),the_carrier(boole_POSet(the_carrier(esk15_0)))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_697,i_0_696,i_0_691,i_0_555,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317]) ).
cnf(i_0_2374,plain,
filtered_subset(esk6_1(the_carrier(boole_POSet(the_carrier(esk15_0)))),esk15_0),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_697,i_0_696,i_0_691,i_0_555,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311]) ).
cnf(i_0_2377,plain,
directed_subset(esk6_1(the_carrier(boole_POSet(the_carrier(esk15_0)))),esk15_0),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_697,i_0_696,i_0_691,i_0_555,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312]) ).
cnf(i_0_2380,plain,
related_reflexive(esk12_0,esk6_1(the_carrier(esk12_0)),esk6_1(the_carrier(esk12_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_697,i_0_696,i_0_691,i_0_555,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_382,i_0_693,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308]) ).
cnf(i_0_2383,plain,
related(boole_POSet(the_carrier(boole_POSet(esk35_0))),esk36_0,the_carrier(boole_POSet(esk35_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296]) ).
cnf(i_0_2388,plain,
rel_str_of(esk22_1(the_carrier(esk32_0)),X1) = rel_str_of(empty_set,X1),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705]) ).
cnf(i_0_2389,plain,
rel_str_of(X1,esk22_1(the_carrier(esk32_0))) = rel_str_of(X1,empty_set),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706]) ).
cnf(i_0_2390,plain,
~ in(the_carrier(boole_POSet(the_carrier(boole_POSet(X1)))),esk6_1(esk25_1(esk25_1(X1)))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143]) ).
cnf(i_0_2392,plain,
~ in(esk26_0,esk6_1(the_carrier(boole_POSet(the_carrier(boole_POSet(empty_set)))))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160]) ).
cnf(i_0_2394,plain,
~ in(esk26_0,the_carrier(boole_POSet(empty_set))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_766,i_0_474,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377]) ).
cnf(i_0_2397,plain,
complete_relstr(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_766,i_0_474,i_0_661,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743]) ).
cnf(i_0_2398,plain,
v3_waybel_3(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_766,i_0_474,i_0_661,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_563,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734]) ).
cnf(i_0_2399,plain,
up_complete_relstr(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_654,i_0_766,i_0_474,i_0_661,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_563,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737]) ).
cnf(i_0_2400,plain,
v2_waybel_2(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_654,i_0_766,i_0_474,i_0_661,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_877,i_0_563,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740]) ).
cnf(i_0_2401,plain,
v1_waybel_2(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_654,i_0_766,i_0_474,i_0_661,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741]) ).
cnf(i_0_2402,plain,
join_complete_relstr(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_474,i_0_661,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_675,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742]) ).
cnf(i_0_2403,plain,
with_infima_relstr(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_474,i_0_661,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_675,i_0_608,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742,i_0_727]) ).
cnf(i_0_2404,plain,
with_suprema_relstr(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_474,i_0_661,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_675,i_0_608,i_0_618,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742,i_0_727,i_0_726]) ).
cnf(i_0_2405,plain,
finite(esk6_1(the_carrier(boole_POSet(esk18_0)))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_474,i_0_661,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_675,i_0_608,i_0_618,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_2381,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742,i_0_727,i_0_726,i_0_334]) ).
cnf(i_0_2408,plain,
one_sorted_str(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_967,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_474,i_0_661,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_675,i_0_608,i_0_618,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_2381,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742,i_0_727,i_0_726,i_0_334,i_0_709]) ).
cnf(i_0_2409,plain,
strict_rel_str(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_967,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_474,i_0_661,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_675,i_0_608,i_0_618,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_2381,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742,i_0_727,i_0_726,i_0_334,i_0_709,i_0_720]) ).
cnf(i_0_2410,plain,
transitive_relstr(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_967,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_474,i_0_661,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_642,i_0_675,i_0_608,i_0_618,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_2381,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742,i_0_727,i_0_726,i_0_334,i_0_709,i_0_720,i_0_721]) ).
cnf(i_0_2411,plain,
lower_bounded_relstr(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_967,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_474,i_0_661,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_583,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_642,i_0_675,i_0_608,i_0_618,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_2381,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742,i_0_727,i_0_726,i_0_334,i_0_709,i_0_720,i_0_721,i_0_723]) ).
cnf(i_0_2412,plain,
antisymmetric_relstr(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_967,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_474,i_0_661,i_0_881,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_583,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_629,i_0_642,i_0_675,i_0_608,i_0_618,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_2381,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742,i_0_727,i_0_726,i_0_334,i_0_709,i_0_720,i_0_721,i_0_723,i_0_725]) ).
cnf(i_0_2413,plain,
bounded_relstr(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_967,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_474,i_0_661,i_0_881,i_0_576,i_0_803,i_0_2331,i_0_566,i_0_701,i_0_637,i_0_583,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_629,i_0_642,i_0_675,i_0_608,i_0_618,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_2381,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742,i_0_727,i_0_726,i_0_334,i_0_709,i_0_720,i_0_721,i_0_723,i_0_725,i_0_728]) ).
cnf(i_0_2414,plain,
distributive_relstr(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_967,i_0_1015,i_0_1010,i_0_762,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_474,i_0_661,i_0_881,i_0_576,i_0_803,i_0_2331,i_0_566,i_0_592,i_0_701,i_0_637,i_0_583,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_629,i_0_642,i_0_675,i_0_608,i_0_618,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_2381,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742,i_0_727,i_0_726,i_0_334,i_0_709,i_0_720,i_0_721,i_0_723,i_0_725,i_0_728,i_0_729]) ).
cnf(i_0_2415,plain,
upper_bounded_relstr(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_967,i_0_1015,i_0_1010,i_0_762,i_0_598,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_474,i_0_661,i_0_881,i_0_576,i_0_803,i_0_2331,i_0_566,i_0_592,i_0_701,i_0_637,i_0_583,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_629,i_0_642,i_0_675,i_0_608,i_0_618,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_2381,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742,i_0_727,i_0_726,i_0_334,i_0_709,i_0_720,i_0_721,i_0_723,i_0_725,i_0_728,i_0_729,i_0_731]) ).
cnf(i_0_2416,plain,
v2_waybel_3(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_967,i_0_1015,i_0_1010,i_0_762,i_0_598,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_565,i_0_474,i_0_661,i_0_881,i_0_576,i_0_803,i_0_2331,i_0_566,i_0_592,i_0_701,i_0_637,i_0_583,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_629,i_0_642,i_0_675,i_0_608,i_0_618,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_2381,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742,i_0_727,i_0_726,i_0_334,i_0_709,i_0_720,i_0_721,i_0_723,i_0_725,i_0_728,i_0_729,i_0_731,i_0_738]) ).
cnf(i_0_2417,plain,
rel_str(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_967,i_0_1015,i_0_1010,i_0_762,i_0_598,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_565,i_0_474,i_0_661,i_0_881,i_0_576,i_0_803,i_0_2331,i_0_566,i_0_592,i_0_701,i_0_637,i_0_583,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_629,i_0_642,i_0_675,i_0_608,i_0_618,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_2381,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742,i_0_727,i_0_726,i_0_334,i_0_709,i_0_720,i_0_721,i_0_723,i_0_725,i_0_728,i_0_729,i_0_731,i_0_738,i_0_724]) ).
cnf(i_0_2418,plain,
esk26_0 != esk6_1(the_carrier(boole_POSet(esk22_1(X1)))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_967,i_0_1015,i_0_1010,i_0_762,i_0_598,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_910,i_0_565,i_0_474,i_0_661,i_0_881,i_0_576,i_0_803,i_0_2331,i_0_566,i_0_592,i_0_701,i_0_637,i_0_583,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_629,i_0_642,i_0_675,i_0_608,i_0_618,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_2381,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742,i_0_727,i_0_726,i_0_334,i_0_709,i_0_720,i_0_721,i_0_723,i_0_725,i_0_728,i_0_729,i_0_731,i_0_738,i_0_724,i_0_708]) ).
cnf(i_0_2420,plain,
reflexive_relstr(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_967,i_0_1015,i_0_1010,i_0_762,i_0_598,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_910,i_0_565,i_0_474,i_0_661,i_0_881,i_0_576,i_0_803,i_0_2331,i_0_566,i_0_592,i_0_701,i_0_637,i_0_583,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_629,i_0_642,i_0_675,i_0_608,i_0_618,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_673,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_2381,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742,i_0_727,i_0_726,i_0_334,i_0_709,i_0_720,i_0_721,i_0_723,i_0_725,i_0_728,i_0_729,i_0_731,i_0_738,i_0_724,i_0_708,i_0_756]) ).
cnf(i_0_2421,plain,
~ v1_yellow_3(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0))),
inference(scs_inference,[],[i_0_324,i_0_784,i_0_540,i_0_936,i_0_930,i_0_2295,i_0_1339,i_0_905,i_0_1028,i_0_768,i_0_2303,i_0_770,i_0_2266,i_0_2269,i_0_2290,i_0_2292,i_0_1179,i_0_967,i_0_1015,i_0_1010,i_0_762,i_0_598,i_0_685,i_0_644,i_0_650,i_0_654,i_0_766,i_0_910,i_0_565,i_0_474,i_0_661,i_0_881,i_0_576,i_0_803,i_0_2331,i_0_566,i_0_592,i_0_701,i_0_637,i_0_583,i_0_877,i_0_879,i_0_563,i_0_542,i_0_449,i_0_629,i_0_642,i_0_675,i_0_608,i_0_618,i_0_548,i_0_554,i_0_643,i_0_908,i_0_674,i_0_567,i_0_668,i_0_673,i_0_571,i_0_480,i_0_442,i_0_2301,i_0_2343,i_0_2375,i_0_2378,i_0_2381,i_0_697,i_0_696,i_0_691,i_0_555,i_0_530,i_0_698,i_0_375,i_0_2299,i_0_2358,i_0_454,i_0_382,i_0_693,i_0_537,i_0_703,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313,i_0_314,i_0_359,i_0_366,i_0_367,i_0_368,i_0_323,i_0_329,i_0_297,i_0_299,i_0_538,i_0_713,i_0_714,i_0_735,i_0_748,i_0_749,i_0_750,i_0_751,i_0_758,i_0_759,i_0_397,i_0_398,i_0_399,i_0_433,i_0_358,i_0_365,i_0_371,i_0_325,i_0_309,i_0_744,i_0_710,i_0_711,i_0_753,i_0_754,i_0_722,i_0_372,i_0_320,i_0_707,i_0_318,i_0_403,i_0_383,i_0_396,i_0_373,i_0_374,i_0_319,i_0_300,i_0_305,i_0_301,i_0_370,i_0_361,i_0_362,i_0_317,i_0_311,i_0_312,i_0_308,i_0_296,i_0_705,i_0_706,i_0_1143,i_0_1160,i_0_377,i_0_704,i_0_743,i_0_734,i_0_737,i_0_740,i_0_741,i_0_742,i_0_727,i_0_726,i_0_334,i_0_709,i_0_720,i_0_721,i_0_723,i_0_725,i_0_728,i_0_729,i_0_731,i_0_738,i_0_724,i_0_708,i_0_756,i_0_331]) ).
cnf(i_0_2519,plain,
subset(esk6_1(esk25_1(X1)),X1),
inference(rename_variables,[],[i_0_969]) ).
cnf(i_0_2682,plain,
~ in(X1,esk6_1(esk25_1(empty_set))),
inference(rename_variables,[],[i_0_1106]) ).
cnf(i_0_3140,plain,
~ in(X1,esk6_1(esk25_1(esk22_1(X2)))),
inference(rename_variables,[],[i_0_1012]) ).
cnf(i_0_1007,plain,
boolean_relstr(esk32_0),
inference(equality_inference,[],[1001]) ).
cnf(i_0_1081,plain,
connected_relstr(esk9_0),
inference(equality_inference,[],[1036]) ).
cnf(i_0_1087,plain,
the_carrier(boole_POSet(the_carrier(boole_POSet(esk35_0)))) != esk6_1(esk25_1(esk18_0)),
inference(scs_inference,[],[i_0_780,i_0_974,i_0_689,i_0_543,i_0_442,i_0_475,i_0_372,i_0_708]) ).
cnf(i_0_1088,plain,
~ in(X1,esk6_1(esk25_1(esk18_0))),
inference(rename_variables,[],[i_0_974]) ).
cnf(i_0_1089,plain,
esk18_0 != esk11_0,
inference(scs_inference,[],[i_0_780,i_0_974,i_0_689,i_0_570,i_0_543,i_0_442,i_0_475,i_0_372,i_0_708,i_0_722]) ).
cnf(i_0_1090,plain,
~ in(esk11_0,esk6_1(esk11_0)),
inference(scs_inference,[],[i_0_780,i_0_974,i_0_689,i_0_570,i_0_543,i_0_442,i_0_475,i_0_372,i_0_708,i_0_722,i_0_363]) ).
cnf(i_0_1139,plain,
v2_waybel_3(esk19_0),
inference(equality_inference,[],[1129]) ).
cnf(i_0_1153,plain,
finite(esk6_1(esk25_1(esk6_1(the_carrier(boole_POSet(esk11_0)))))),
inference(equality_inference,[],[1149]) ).
cnf(i_0_2243,plain,
finite(esk6_1(esk25_1(esk6_1(esk25_1(esk6_1(the_carrier(boole_POSet(esk11_0)))))))),
inference(equality_inference,[],[2226]) ).
cnf(i_0_2425,plain,
esk16_0 = rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0)),
inference(equality_inference,[],[2396]) ).
cnf(i_0_2426,plain,
~ empty(esk30_1(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0)))),
inference(scs_inference,[],[i_0_2408,i_0_404]) ).
cnf(i_0_2428,plain,
~ trivial_carrier(boole_POSet(esk30_1(esk12_0))),
inference(scs_inference,[],[i_0_2245,i_0_2408,i_0_404,i_0_436]) ).
cnf(i_0_2430,plain,
~ empty(esk31_1(esk30_1(esk12_0))),
inference(scs_inference,[],[i_0_2245,i_0_2408,i_0_404,i_0_436,i_0_438]) ).
cnf(i_0_2432,plain,
~ empty(esk28_1(esk30_1(esk12_0))),
inference(scs_inference,[],[i_0_2245,i_0_2408,i_0_404,i_0_436,i_0_438,i_0_439]) ).
cnf(i_0_2434,plain,
~ empty(esk13_1(esk30_1(esk12_0))),
inference(scs_inference,[],[i_0_2245,i_0_2408,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440]) ).
cnf(i_0_2436,plain,
finite(esk30_1(rel_str_of(the_carrier(esk16_0),the_InternalRel(esk16_0)))),
inference(scs_inference,[],[i_0_2245,i_0_2408,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447]) ).
cnf(i_0_2438,plain,
finite(esk31_1(esk30_1(esk12_0))),
inference(scs_inference,[],[i_0_2245,i_0_2408,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457]) ).
cnf(i_0_2440,plain,
finite(esk28_1(esk30_1(esk12_0))),
inference(scs_inference,[],[i_0_2245,i_0_2408,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458]) ).
cnf(i_0_2442,plain,
filtered_subset(esk14_1(rel_str_of(X1,esk7_2(X1,X1))),rel_str_of(X1,esk7_2(X1,X1))),
inference(scs_inference,[],[i_0_2245,i_0_2268,i_0_2408,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400]) ).
cnf(i_0_2444,plain,
directed_subset(esk14_1(rel_str_of(X1,esk7_2(X1,X1))),rel_str_of(X1,esk7_2(X1,X1))),
inference(scs_inference,[],[i_0_2245,i_0_2268,i_0_2408,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401]) ).
cnf(i_0_2446,plain,
strict_rel_str(rel_str_of(empty_set,esk7_2(esk22_1(X1),empty_set))),
inference(scs_inference,[],[i_0_2245,i_0_2268,i_0_2408,i_0_2289,i_0_404,i_0_436,i_0_438,i_0_439,i_0_440,i_0_447,i_0_457,i_0_458,i_0_400,i_0_401,i_0_313]) ).
cnf(c_0_559,plain,
( upper_relstr_subset(X1,X2)
| element(esk2_2(X2,X1),the_carrier(X2))
| ~ rel_str(X2)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X2)))) ),
i_0_303 ).
cnf(c_0_560,negated_conjecture,
element(esk36_0,the_carrier(boole_POSet(the_carrier(boole_POSet(esk35_0))))),
i_0_324 ).
cnf(c_0_561,plain,
rel_str(boole_POSet(X1)),
i_0_537 ).
cnf(c_0_562,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,the_carrier(boole_POSet(X2))) ),
i_0_318 ).
cnf(c_0_563,plain,
( upper_relstr_subset(X1,X2)
| in(esk1_2(X2,X1),X1)
| ~ rel_str(X2)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X2)))) ),
i_0_305 ).
cnf(c_0_564,plain,
( related_reflexive(X1,X2,X3)
| empty_carrier(X1)
| ~ related(X1,X2,X3)
| ~ reflexive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
i_0_295 ).
cnf(c_0_565,negated_conjecture,
( element(esk2_2(boole_POSet(esk35_0),esk36_0),the_carrier(boole_POSet(esk35_0)))
| upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_560]),c_0_561])]) ).
cnf(c_0_566,plain,
reflexive_relstr(boole_POSet(X1)),
i_0_526 ).
cnf(c_0_567,plain,
~ empty_carrier(boole_POSet(X1)),
i_0_450 ).
cnf(c_0_568,plain,
( upper_relstr_subset(X1,X2)
| related(X2,esk1_2(X2,X1),esk2_2(X2,X1))
| ~ rel_str(X2)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X2)))) ),
i_0_298 ).
cnf(c_0_569,negated_conjecture,
( element(X1,the_carrier(boole_POSet(esk35_0)))
| ~ in(X1,esk36_0) ),
inference(spm,[status(thm)],[c_0_562,c_0_560]) ).
cnf(c_0_570,negated_conjecture,
( upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| in(esk1_2(boole_POSet(esk35_0),esk36_0),esk36_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_560]),c_0_561])]) ).
cnf(c_0_571,negated_conjecture,
( upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| in(X1,esk36_0)
| ~ subset(X2,X1)
| ~ subset(X1,esk35_0)
| ~ in(X2,esk36_0) ),
i_0_316 ).
cnf(c_0_572,plain,
( subset(X1,X2)
| ~ element(X1,the_carrier(boole_POSet(X2))) ),
i_0_330 ).
cnf(c_0_573,plain,
( related_reflexive(boole_POSet(esk35_0),X1,esk2_2(boole_POSet(esk35_0),esk36_0))
| upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| ~ element(X1,the_carrier(boole_POSet(esk35_0)))
| ~ related(boole_POSet(esk35_0),X1,esk2_2(boole_POSet(esk35_0),esk36_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_565]),c_0_566]),c_0_561])]),c_0_567]) ).
cnf(c_0_574,negated_conjecture,
( related(boole_POSet(esk35_0),esk1_2(boole_POSet(esk35_0),esk36_0),esk2_2(boole_POSet(esk35_0),esk36_0))
| upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_560]),c_0_561])]) ).
cnf(c_0_575,negated_conjecture,
( element(esk1_2(boole_POSet(esk35_0),esk36_0),the_carrier(boole_POSet(esk35_0)))
| upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
inference(spm,[status(thm)],[c_0_569,c_0_570]) ).
cnf(c_0_576,plain,
( upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| in(X1,esk36_0)
| ~ subset(X2,X1)
| ~ element(X1,the_carrier(boole_POSet(esk35_0)))
| ~ in(X2,esk36_0) ),
inference(spm,[status(thm)],[c_0_571,c_0_572]) ).
cnf(c_0_577,plain,
( subset(X1,X2)
| ~ related_reflexive(boole_POSet(X3),X1,X2)
| ~ element(X2,the_carrier(boole_POSet(X3)))
| ~ element(X1,the_carrier(boole_POSet(X3))) ),
i_0_300 ).
cnf(c_0_578,negated_conjecture,
( related_reflexive(boole_POSet(esk35_0),esk1_2(boole_POSet(esk35_0),esk36_0),esk2_2(boole_POSet(esk35_0),esk36_0))
| upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_574]),c_0_575]) ).
cnf(c_0_579,plain,
( upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| in(esk2_2(boole_POSet(esk35_0),esk36_0),esk36_0)
| ~ subset(X1,esk2_2(boole_POSet(esk35_0),esk36_0))
| ~ in(X1,esk36_0) ),
inference(spm,[status(thm)],[c_0_576,c_0_565]) ).
cnf(c_0_580,plain,
( subset(esk1_2(boole_POSet(esk35_0),esk36_0),esk2_2(boole_POSet(esk35_0),esk36_0))
| upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_578]),c_0_575]),c_0_565]) ).
cnf(c_0_581,plain,
( upper_relstr_subset(X1,X2)
| ~ rel_str(X2)
| ~ in(esk2_2(X2,X1),X1)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X2)))) ),
i_0_302 ).
cnf(c_0_582,plain,
( upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| in(esk2_2(boole_POSet(esk35_0),esk36_0),esk36_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_580]),c_0_570]) ).
cnf(c_0_583,plain,
( in(X1,X2)
| ~ rel_str(X3)
| ~ in(X4,X2)
| ~ upper_relstr_subset(X2,X3)
| ~ related(X3,X4,X1)
| ~ element(X1,the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X3)))) ),
i_0_294 ).
cnf(c_0_584,negated_conjecture,
( subset(esk38_0,esk35_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
i_0_378 ).
cnf(c_0_585,plain,
upper_relstr_subset(esk36_0,boole_POSet(esk35_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_582]),c_0_560]),c_0_561])]) ).
cnf(c_0_586,plain,
( in(X1,X2)
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X3))))
| ~ element(X1,the_carrier(X3))
| ~ related(X3,X4,X1)
| ~ upper_relstr_subset(X2,X3)
| ~ rel_str(X3)
| ~ in(X4,X2) ),
inference(csr,[status(thm)],[c_0_583,c_0_562]) ).
cnf(c_0_587,plain,
( element(X1,the_carrier(boole_POSet(X2)))
| ~ subset(X1,X2) ),
i_0_359 ).
cnf(c_0_588,negated_conjecture,
subset(esk38_0,esk35_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_584,c_0_585])]) ).
cnf(c_0_589,negated_conjecture,
( in(X1,esk36_0)
| ~ element(X1,the_carrier(boole_POSet(esk35_0)))
| ~ related(boole_POSet(esk35_0),X2,X1)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0))
| ~ in(X2,esk36_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_560]),c_0_561])]) ).
cnf(c_0_590,plain,
( related(X1,X2,X3)
| empty_carrier(X1)
| ~ related_reflexive(X1,X2,X3)
| ~ reflexive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
i_0_296 ).
cnf(c_0_591,plain,
element(esk38_0,the_carrier(boole_POSet(esk35_0))),
inference(spm,[status(thm)],[c_0_587,c_0_588]) ).
cnf(c_0_592,negated_conjecture,
( ~ in(esk38_0,esk36_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
i_0_369 ).
cnf(c_0_593,negated_conjecture,
( in(X1,esk36_0)
| ~ element(X1,the_carrier(boole_POSet(esk35_0)))
| ~ related(boole_POSet(esk35_0),X2,X1)
| ~ in(X2,esk36_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_589,c_0_585])]) ).
cnf(c_0_594,plain,
( related(boole_POSet(esk35_0),X1,esk38_0)
| ~ related_reflexive(boole_POSet(esk35_0),X1,esk38_0)
| ~ element(X1,the_carrier(boole_POSet(esk35_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_590,c_0_591]),c_0_566]),c_0_561])]),c_0_567]) ).
cnf(c_0_595,negated_conjecture,
~ in(esk38_0,esk36_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_592,c_0_585])]) ).
cnf(c_0_596,negated_conjecture,
( ~ related_reflexive(boole_POSet(esk35_0),X1,esk38_0)
| ~ in(X1,esk36_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_594]),c_0_591])]),c_0_595]),c_0_569]) ).
cnf(c_0_597,plain,
( related_reflexive(boole_POSet(X1),X2,X3)
| ~ subset(X2,X3)
| ~ element(X3,the_carrier(boole_POSet(X1)))
| ~ element(X2,the_carrier(boole_POSet(X1))) ),
i_0_301 ).
cnf(c_0_598,negated_conjecture,
( subset(esk37_0,esk38_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
i_0_379 ).
cnf(c_0_599,negated_conjecture,
( in(esk37_0,esk36_0)
| ~ upper_relstr_subset(esk36_0,boole_POSet(esk35_0)) ),
i_0_380 ).
cnf(c_0_600,plain,
( ~ subset(X1,esk38_0)
| ~ in(X1,esk36_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_597]),c_0_591])]),c_0_569]) ).
cnf(c_0_601,negated_conjecture,
subset(esk37_0,esk38_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_598,c_0_585])]) ).
cnf(c_0_602,negated_conjecture,
in(esk37_0,esk36_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_599,c_0_585])]) ).
cnf(c_0_603,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_600,c_0_601]),c_0_602])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU381+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n023.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 03:02:53 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 127.30/78.44 % Version : CSE_E---1.7
% 127.30/78.44 % Problem : theBenchmark.p
% 127.30/78.44 % SZS status Theorem for theBenchmark.p
% 127.30/78.44 % SZS output start CNFRefutation
% See solution above
% 139.79/91.02 % Total time : 78.023s
%------------------------------------------------------------------------------