%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU187+2 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:10:59 PM UTC 2026
% Result : Theorem 1.09s 1.64s
% Output : CNFRefutation 5.87s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_162)
% Comments :
%------------------------------------------------------------------------------
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(t69_enumset1,lemma,
! [X1] : unordered_pair(X1,X1) = singleton(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(t56_relat_1,lemma,
! [X1] :
( relation(X1)
=> ( ! [X2,X3] : ~ in(ordered_pair(X2,X3),X1)
=> X1 = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_relat_1) ).
fof(fc1_zfmisc_1,axiom,
! [X1,X2] : ~ empty(ordered_pair(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_zfmisc_1) ).
fof(t4_xboole_0,lemma,
! [X1,X2] :
( ~ ( ~ disjoint(X1,X2)
& ! [X3] : ~ in(X3,set_intersection2(X1,X2)) )
& ~ ( ? [X3] : in(X3,set_intersection2(X1,X2))
& disjoint(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_xboole_0) ).
fof(t65_zfmisc_1,lemma,
! [X1,X2] :
( set_difference(X1,singleton(X2)) = X1
<=> ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_zfmisc_1) ).
fof(l28_zfmisc_1,lemma,
! [X1,X2] :
( ~ in(X1,X2)
=> disjoint(singleton(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l28_zfmisc_1) ).
fof(fc2_subset_1,axiom,
! [X1] : ~ empty(singleton(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_subset_1) ).
fof(d8_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ! [X3] :
( relation(X3)
=> ( X3 = relation_composition(X1,X2)
<=> ! [X4,X5] :
( in(ordered_pair(X4,X5),X3)
<=> ? [X6] :
( in(ordered_pair(X4,X6),X1)
& in(ordered_pair(X6,X5),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_1) ).
fof(d2_zfmisc_1,axiom,
! [X1,X2,X3] :
( X3 = cartesian_product2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5,X6] :
( in(X5,X1)
& in(X6,X2)
& X4 = ordered_pair(X5,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).
fof(d7_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( X2 = relation_inverse(X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> in(ordered_pair(X4,X3),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_relat_1) ).
fof(d5_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X4,X3),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(d4_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_intersection2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& in(X4,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(t48_xboole_1,lemma,
! [X1,X2] : set_difference(X1,set_difference(X1,X2)) = set_intersection2(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(d4_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_difference(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& ~ in(X4,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(d1_relat_1,axiom,
! [X1] :
( relation(X1)
<=> ! [X2] :
~ ( in(X2,X1)
& ! [X3,X4] : X2 != ordered_pair(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relat_1) ).
fof(t106_zfmisc_1,lemma,
! [X1,X2,X3,X4] :
( in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
<=> ( in(X1,X3)
& in(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(l55_zfmisc_1,lemma,
! [X1,X2,X3,X4] :
( in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
<=> ( in(X1,X3)
& in(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
fof(t30_relat_1,lemma,
! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X1,relation_field(X3))
& in(X2,relation_field(X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_relat_1) ).
fof(t20_relat_1,lemma,
! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X1,relation_dom(X3))
& in(X2,relation_rng(X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relat_1) ).
fof(t33_zfmisc_1,lemma,
! [X1,X2,X3,X4] :
( ordered_pair(X1,X2) = ordered_pair(X3,X4)
=> ( X1 = X3
& X2 = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_zfmisc_1) ).
fof(t26_xboole_1,lemma,
! [X1,X2,X3] :
( subset(X1,X2)
=> subset(set_intersection2(X1,X3),set_intersection2(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_xboole_1) ).
fof(t47_setfam_1,lemma,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> ( X2 != empty_set
=> subset_difference(X1,cast_to_subset(X1),union_of_subsets(X1,X2)) = meet_of_subsets(X1,complements_of_subsets(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_setfam_1) ).
fof(d4_subset_1,axiom,
! [X1] : cast_to_subset(X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_subset_1) ).
fof(t48_setfam_1,lemma,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> ( X2 != empty_set
=> union_of_subsets(X1,complements_of_subsets(X1,X2)) = subset_difference(X1,cast_to_subset(X1),meet_of_subsets(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_setfam_1) ).
fof(t19_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X2)
& subset(X1,X3) )
=> subset(X1,set_intersection2(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(l3_zfmisc_1,lemma,
! [X1,X2,X3] :
( subset(X1,X2)
=> ( in(X3,X1)
| subset(X1,set_difference(X2,singleton(X3))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_zfmisc_1) ).
fof(t50_subset_1,lemma,
! [X1] :
( X1 != empty_set
=> ! [X2] :
( element(X2,powerset(X1))
=> ! [X3] :
( element(X3,X1)
=> ( ~ in(X3,X2)
=> in(X3,subset_complement(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_subset_1) ).
fof(t6_zfmisc_1,lemma,
! [X1,X2] :
( subset(singleton(X1),singleton(X2))
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_zfmisc_1) ).
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = singleton(X1)
<=> ! [X3] :
( in(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(t9_tarski,axiom,
! [X1] :
? [X2] :
( in(X1,X2)
& ! [X3,X4] :
( ( in(X3,X2)
& subset(X4,X3) )
=> in(X4,X2) )
& ! [X3] :
~ ( in(X3,X2)
& ! [X4] :
~ ( in(X4,X2)
& ! [X5] :
( subset(X5,X3)
=> in(X5,X4) ) ) )
& ! [X3] :
~ ( subset(X3,X2)
& ~ are_equipotent(X3,X2)
& ~ in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_tarski) ).
fof(t17_xboole_1,lemma,
! [X1,X2] : subset(set_intersection2(X1,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(l25_zfmisc_1,lemma,
! [X1,X2] :
~ ( disjoint(singleton(X1),X2)
& in(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l25_zfmisc_1) ).
fof(t39_zfmisc_1,lemma,
! [X1,X2] :
( subset(X1,singleton(X2))
<=> ( X1 = empty_set
| X1 = singleton(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_zfmisc_1) ).
fof(l4_zfmisc_1,lemma,
! [X1,X2] :
( subset(X1,singleton(X2))
<=> ( X1 = empty_set
| X1 = singleton(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_zfmisc_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(t37_zfmisc_1,lemma,
! [X1,X2] :
( subset(singleton(X1),X2)
<=> in(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_zfmisc_1) ).
fof(l2_zfmisc_1,lemma,
! [X1,X2] :
( subset(singleton(X1),X2)
<=> in(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(d7_xboole_0,axiom,
! [X1,X2] :
( disjoint(X1,X2)
<=> set_intersection2(X1,X2) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).
fof(t136_zfmisc_1,lemma,
! [X1] :
? [X2] :
( in(X1,X2)
& ! [X3,X4] :
( ( in(X3,X2)
& subset(X4,X3) )
=> in(X4,X2) )
& ! [X3] :
( in(X3,X2)
=> in(powerset(X3),X2) )
& ! [X3] :
~ ( subset(X3,X2)
& ~ are_equipotent(X3,X2)
& ~ in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t136_zfmisc_1) ).
fof(t3_xboole_0,lemma,
! [X1,X2] :
( ~ ( ~ disjoint(X1,X2)
& ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) ) )
& ~ ( ? [X3] :
( in(X3,X1)
& in(X3,X2) )
& disjoint(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
fof(t46_zfmisc_1,lemma,
! [X1,X2] :
( in(X1,X2)
=> set_union2(singleton(X1),X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_zfmisc_1) ).
fof(l23_zfmisc_1,lemma,
! [X1,X2] :
( in(X1,X2)
=> set_union2(singleton(X1),X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l23_zfmisc_1) ).
fof(t28_xboole_1,lemma,
! [X1,X2] :
( subset(X1,X2)
=> set_intersection2(X1,X2) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1) ).
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(fc2_xboole_0,axiom,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_xboole_0) ).
fof(fc3_xboole_0,axiom,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_xboole_0) ).
fof(fc3_subset_1,axiom,
! [X1,X2] : ~ empty(unordered_pair(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_subset_1) ).
fof(t8_zfmisc_1,lemma,
! [X1,X2,X3] :
( singleton(X1) = unordered_pair(X2,X3)
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_zfmisc_1) ).
fof(t9_zfmisc_1,lemma,
! [X1,X2,X3] :
( singleton(X1) = unordered_pair(X2,X3)
=> X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_zfmisc_1) ).
fof(antisymmetry_r2_xboole_0,axiom,
! [X1,X2] :
( proper_subset(X1,X2)
=> ~ proper_subset(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_xboole_0) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ empty(X1)
=> ( element(X2,X1)
<=> in(X2,X1) ) )
& ( empty(X1)
=> ( element(X2,X1)
<=> empty(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).
fof(idempotence_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(t2_boole,axiom,
! [X1] : set_intersection2(X1,empty_set) = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_boole) ).
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(fc6_relat_1,axiom,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_rng(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(fc5_relat_1,axiom,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_dom(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(irreflexivity_r2_xboole_0,axiom,
! [X1,X2] : ~ proper_subset(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_r2_xboole_0) ).
fof(l1_zfmisc_1,lemma,
! [X1] : singleton(X1) != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_zfmisc_1) ).
fof(dt_k2_subset_1,axiom,
! [X1] : element(cast_to_subset(X1),powerset(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_subset_1) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ empty(powerset(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(t60_relat_1,conjecture,
( relation_dom(empty_set) = empty_set
& relation_rng(empty_set) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_relat_1) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(rc2_relat_1,axiom,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(d8_setfam_1,axiom,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> ! [X3] :
( element(X3,powerset(powerset(X1)))
=> ( X3 = complements_of_subsets(X1,X2)
<=> ! [X4] :
( element(X4,powerset(X1))
=> ( in(X4,X3)
<=> in(subset_complement(X1,X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_setfam_1) ).
fof(d2_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_union2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
| in(X4,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(d2_tarski,axiom,
! [X1,X2,X3] :
( X3 = unordered_pair(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( X4 = X1
| X4 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
fof(d1_setfam_1,axiom,
! [X1,X2] :
( ( X1 != empty_set
=> ( X2 = set_meet(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ! [X4] :
( in(X4,X1)
=> in(X3,X4) ) ) ) )
& ( X1 = empty_set
=> ( X2 = set_meet(X1)
<=> X2 = empty_set ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_setfam_1) ).
fof(dt_k6_subset_1,axiom,
! [X1,X2,X3] :
( ( element(X2,powerset(X1))
& element(X3,powerset(X1)) )
=> element(subset_difference(X1,X2,X3),powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_subset_1) ).
fof(d4_tarski,axiom,
! [X1,X2] :
( X2 = union(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X3,X4)
& in(X4,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
fof(t43_subset_1,lemma,
! [X1,X2] :
( element(X2,powerset(X1))
=> ! [X3] :
( element(X3,powerset(X1))
=> ( disjoint(X2,X3)
<=> subset(X2,subset_complement(X1,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_subset_1) ).
fof(redefinition_k6_subset_1,axiom,
! [X1,X2,X3] :
( ( element(X2,powerset(X1))
& element(X3,powerset(X1)) )
=> subset_difference(X1,X2,X3) = set_difference(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_subset_1) ).
fof(d1_zfmisc_1,axiom,
! [X1,X2] :
( X2 = powerset(X1)
<=> ! [X3] :
( in(X3,X2)
<=> subset(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
<=> in(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(t54_subset_1,lemma,
! [X1,X2,X3] :
( element(X3,powerset(X1))
=> ~ ( in(X2,subset_complement(X1,X3))
& in(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_subset_1) ).
fof(t119_zfmisc_1,lemma,
! [X1,X2,X3,X4] :
( ( subset(X1,X2)
& subset(X3,X4) )
=> subset(cartesian_product2(X1,X3),cartesian_product2(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_zfmisc_1) ).
fof(dt_k7_setfam_1,axiom,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> element(complements_of_subsets(X1,X2),powerset(powerset(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_setfam_1) ).
fof(dt_k6_setfam_1,axiom,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> element(meet_of_subsets(X1,X2),powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_setfam_1) ).
fof(dt_k5_setfam_1,axiom,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> element(union_of_subsets(X1,X2),powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_setfam_1) ).
fof(t45_relat_1,lemma,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_relat_1) ).
fof(t44_relat_1,lemma,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_relat_1) ).
fof(involutiveness_k7_setfam_1,axiom,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> complements_of_subsets(X1,complements_of_subsets(X1,X2)) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k7_setfam_1) ).
fof(t47_relat_1,lemma,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( subset(relation_dom(X1),relation_rng(X2))
=> relation_rng(relation_composition(X2,X1)) = relation_rng(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_relat_1) ).
fof(t46_relat_1,lemma,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( subset(relation_rng(X1),relation_dom(X2))
=> relation_dom(relation_composition(X1,X2)) = relation_dom(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_relat_1) ).
fof(t33_xboole_1,lemma,
! [X1,X2,X3] :
( subset(X1,X2)
=> subset(set_difference(X1,X3),set_difference(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_xboole_1) ).
fof(t118_zfmisc_1,lemma,
! [X1,X2,X3] :
( subset(X1,X2)
=> ( subset(cartesian_product2(X1,X3),cartesian_product2(X2,X3))
& subset(cartesian_product2(X3,X1),cartesian_product2(X3,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_zfmisc_1) ).
fof(t8_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X2)
& subset(X3,X2) )
=> subset(set_union2(X1,X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(t38_zfmisc_1,lemma,
! [X1,X2,X3] :
( subset(unordered_pair(X1,X2),X3)
<=> ( in(X1,X3)
& in(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_zfmisc_1) ).
fof(l71_subset_1,lemma,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
=> in(X3,X2) )
=> element(X1,powerset(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l71_subset_1) ).
fof(dt_k3_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> element(subset_complement(X1,X2),powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(t46_setfam_1,lemma,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> ~ ( X2 != empty_set
& complements_of_subsets(X1,X2) = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_setfam_1) ).
fof(involutiveness_k3_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> subset_complement(X1,subset_complement(X1,X2)) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(t21_relat_1,lemma,
! [X1] :
( relation(X1)
=> subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_relat_1) ).
fof(redefinition_k6_setfam_1,axiom,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> meet_of_subsets(X1,X2) = set_meet(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_setfam_1) ).
fof(redefinition_k5_setfam_1,axiom,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> union_of_subsets(X1,X2) = union(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
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(l3_subset_1,lemma,
! [X1,X2] :
( element(X2,powerset(X1))
=> ! [X3] :
( in(X3,X2)
=> in(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_subset_1) ).
fof(t45_xboole_1,lemma,
! [X1,X2] :
( subset(X1,X2)
=> X2 = set_union2(X1,set_difference(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_xboole_1) ).
fof(t25_relat_1,lemma,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( subset(X1,X2)
=> ( subset(relation_dom(X1),relation_dom(X2))
& subset(relation_rng(X1),relation_rng(X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_relat_1) ).
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(d5_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> subset_complement(X1,X2) = set_difference(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_subset_1) ).
fof(t63_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X2)
& disjoint(X2,X3) )
=> disjoint(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_xboole_1) ).
fof(t1_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X2)
& subset(X2,X3) )
=> subset(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(t40_xboole_1,lemma,
! [X1,X2] : set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_xboole_1) ).
fof(t39_xboole_1,lemma,
! [X1,X2] : set_union2(X1,set_difference(X2,X1)) = set_union2(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(t10_zfmisc_1,lemma,
! [X1,X2,X3,X4] :
~ ( unordered_pair(X1,X2) = unordered_pair(X3,X4)
& X1 != X3
& X1 != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_zfmisc_1) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(t60_xboole_1,lemma,
! [X1,X2] :
~ ( subset(X1,X2)
& proper_subset(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_xboole_1) ).
fof(dt_k5_relat_1,axiom,
! [X1,X2] :
( ( relation(X1)
& relation(X2) )
=> relation(relation_composition(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(fc2_relat_1,axiom,
! [X1,X2] :
( ( relation(X1)
& relation(X2) )
=> relation(set_union2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_relat_1) ).
fof(t92_zfmisc_1,lemma,
! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_zfmisc_1) ).
fof(l50_zfmisc_1,lemma,
! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l50_zfmisc_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(t36_xboole_1,lemma,
! [X1,X2] : subset(set_difference(X1,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_xboole_1) ).
fof(t7_xboole_1,lemma,
! [X1,X2] : subset(X1,set_union2(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(d8_xboole_0,axiom,
! [X1,X2] :
( proper_subset(X1,X2)
<=> ( subset(X1,X2)
& X1 != X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_xboole_0) ).
fof(t83_xboole_1,lemma,
! [X1,X2] :
( disjoint(X1,X2)
<=> set_difference(X1,X2) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_xboole_1) ).
fof(t12_xboole_1,lemma,
! [X1,X2] :
( subset(X1,X2)
=> set_union2(X1,X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(d6_relat_1,axiom,
! [X1] :
( relation(X1)
=> relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_relat_1) ).
fof(symmetry_r1_xboole_0,axiom,
! [X1,X2] :
( disjoint(X1,X2)
=> disjoint(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(t37_xboole_1,lemma,
! [X1,X2] :
( set_difference(X1,X2) = empty_set
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_xboole_1) ).
fof(l32_xboole_1,lemma,
! [X1,X2] :
( set_difference(X1,X2) = empty_set
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l32_xboole_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(commutativity_k2_xboole_0,axiom,
! [X1,X2] : set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(t3_xboole_1,lemma,
! [X1] :
( subset(X1,empty_set)
=> X1 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(t37_relat_1,lemma,
! [X1] :
( relation(X1)
=> ( relation_rng(X1) = relation_dom(relation_inverse(X1))
& relation_dom(X1) = relation_rng(relation_inverse(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_relat_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(involutiveness_k4_relat_1,axiom,
! [X1] :
( relation(X1)
=> relation_inverse(relation_inverse(X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
fof(dt_k4_relat_1,axiom,
! [X1] :
( relation(X1)
=> relation(relation_inverse(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_relat_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(idempotence_k2_xboole_0,axiom,
! [X1,X2] : set_union2(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(t1_zfmisc_1,lemma,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_zfmisc_1) ).
fof(t3_boole,axiom,
! [X1] : set_difference(X1,empty_set) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_boole) ).
fof(t1_boole,axiom,
! [X1] : set_union2(X1,empty_set) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_boole) ).
fof(t2_xboole_1,lemma,
! [X1] : subset(empty_set,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(t4_boole,axiom,
! [X1] : set_difference(empty_set,X1) = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_boole) ).
fof(cc1_relat_1,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(t99_zfmisc_1,lemma,
! [X1] : union(powerset(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_zfmisc_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(rc1_relat_1,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(fc4_relat_1,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_152,plain,
! [X505,X506] : ordered_pair(X505,X506) = unordered_pair(unordered_pair(X505,X506),singleton(X505)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(i_0_153,lemma,
! [X765] : unordered_pair(X765,X765) = singleton(X765),
inference(variable_rename,[status(thm)],[t69_enumset1]) ).
fof(i_0_154,lemma,
! [X1] :
( relation(X1)
=> ( ! [X2,X3] : ~ in(ordered_pair(X2,X3),X1)
=> X1 = empty_set ) ),
inference(fof_simplification,[status(thm)],[t56_relat_1]) ).
fof(i_0_155,plain,
! [X1,X2] : ~ empty(ordered_pair(X1,X2)),
inference(fof_simplification,[status(thm)],[fc1_zfmisc_1]) ).
fof(i_0_156,lemma,
! [X1,X2] :
( ~ ( ~ disjoint(X1,X2)
& ! [X3] : ~ in(X3,set_intersection2(X1,X2)) )
& ~ ( ? [X3] : in(X3,set_intersection2(X1,X2))
& disjoint(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[t4_xboole_0]) ).
fof(i_0_157,lemma,
! [X1,X2] :
( set_difference(X1,singleton(X2)) = X1
<=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[t65_zfmisc_1]) ).
fof(i_0_158,lemma,
! [X1,X2] :
( ~ in(X1,X2)
=> disjoint(singleton(X1),X2) ),
inference(fof_simplification,[status(thm)],[l28_zfmisc_1]) ).
fof(i_0_159,plain,
! [X1] : ~ empty(singleton(X1)),
inference(fof_simplification,[status(thm)],[fc2_subset_1]) ).
fof(i_0_160,plain,
! [X518,X519,X520,X521,X522,X524,X525,X526,X529] :
( ( in(ordered_pair(X521,esk31_5(X518,X519,X520,X521,X522)),X518)
| ~ in(ordered_pair(X521,X522),X520)
| X520 != relation_composition(X518,X519)
| ~ relation(X520)
| ~ relation(X519)
| ~ relation(X518) )
& ( in(ordered_pair(esk31_5(X518,X519,X520,X521,X522),X522),X519)
| ~ in(ordered_pair(X521,X522),X520)
| X520 != relation_composition(X518,X519)
| ~ relation(X520)
| ~ relation(X519)
| ~ relation(X518) )
& ( ~ in(ordered_pair(X524,X526),X518)
| ~ in(ordered_pair(X526,X525),X519)
| in(ordered_pair(X524,X525),X520)
| X520 != relation_composition(X518,X519)
| ~ relation(X520)
| ~ relation(X519)
| ~ relation(X518) )
& ( ~ in(ordered_pair(esk32_3(X518,X519,X520),esk33_3(X518,X519,X520)),X520)
| ~ in(ordered_pair(esk32_3(X518,X519,X520),X529),X518)
| ~ in(ordered_pair(X529,esk33_3(X518,X519,X520)),X519)
| X520 = relation_composition(X518,X519)
| ~ relation(X520)
| ~ relation(X519)
| ~ relation(X518) )
& ( in(ordered_pair(esk32_3(X518,X519,X520),esk34_3(X518,X519,X520)),X518)
| in(ordered_pair(esk32_3(X518,X519,X520),esk33_3(X518,X519,X520)),X520)
| X520 = relation_composition(X518,X519)
| ~ relation(X520)
| ~ relation(X519)
| ~ relation(X518) )
& ( in(ordered_pair(esk34_3(X518,X519,X520),esk33_3(X518,X519,X520)),X519)
| in(ordered_pair(esk32_3(X518,X519,X520),esk33_3(X518,X519,X520)),X520)
| X520 = relation_composition(X518,X519)
| ~ relation(X520)
| ~ relation(X519)
| ~ relation(X518) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_relat_1])])])])])]) ).
cnf(i_0_161,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[i_0_152]) ).
cnf(i_0_162,lemma,
unordered_pair(X1,X1) = singleton(X1),
inference(split_conjunct,[status(thm)],[i_0_153]) ).
fof(i_0_163,plain,
! [X430,X431,X432,X433,X436,X437,X438,X439,X440,X441,X443,X444] :
( ( in(esk12_4(X430,X431,X432,X433),X430)
| ~ in(X433,X432)
| X432 != cartesian_product2(X430,X431) )
& ( in(esk13_4(X430,X431,X432,X433),X431)
| ~ in(X433,X432)
| X432 != cartesian_product2(X430,X431) )
& ( X433 = ordered_pair(esk12_4(X430,X431,X432,X433),esk13_4(X430,X431,X432,X433))
| ~ in(X433,X432)
| X432 != cartesian_product2(X430,X431) )
& ( ~ in(X437,X430)
| ~ in(X438,X431)
| X436 != ordered_pair(X437,X438)
| in(X436,X432)
| X432 != cartesian_product2(X430,X431) )
& ( ~ in(esk14_3(X439,X440,X441),X441)
| ~ in(X443,X439)
| ~ in(X444,X440)
| esk14_3(X439,X440,X441) != ordered_pair(X443,X444)
| X441 = cartesian_product2(X439,X440) )
& ( in(esk15_3(X439,X440,X441),X439)
| in(esk14_3(X439,X440,X441),X441)
| X441 = cartesian_product2(X439,X440) )
& ( in(esk16_3(X439,X440,X441),X440)
| in(esk14_3(X439,X440,X441),X441)
| X441 = cartesian_product2(X439,X440) )
& ( esk14_3(X439,X440,X441) = ordered_pair(esk15_3(X439,X440,X441),esk16_3(X439,X440,X441))
| in(esk14_3(X439,X440,X441),X441)
| X441 = cartesian_product2(X439,X440) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_zfmisc_1])])])])])]) ).
fof(i_0_164,plain,
! [X508,X509,X510,X511,X512,X513] :
( ( ~ in(ordered_pair(X510,X511),X509)
| in(ordered_pair(X511,X510),X508)
| X509 != relation_inverse(X508)
| ~ relation(X509)
| ~ relation(X508) )
& ( ~ in(ordered_pair(X513,X512),X508)
| in(ordered_pair(X512,X513),X509)
| X509 != relation_inverse(X508)
| ~ relation(X509)
| ~ relation(X508) )
& ( ~ in(ordered_pair(esk29_2(X508,X509),esk30_2(X508,X509)),X509)
| ~ in(ordered_pair(esk30_2(X508,X509),esk29_2(X508,X509)),X508)
| X509 = relation_inverse(X508)
| ~ relation(X509)
| ~ relation(X508) )
& ( in(ordered_pair(esk29_2(X508,X509),esk30_2(X508,X509)),X509)
| in(ordered_pair(esk30_2(X508,X509),esk29_2(X508,X509)),X508)
| X509 = relation_inverse(X508)
| ~ relation(X509)
| ~ relation(X508) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_relat_1])])])])])]) ).
fof(i_0_165,plain,
! [X493,X494,X495,X497,X498,X499,X501] :
( ( ~ in(X495,X494)
| in(ordered_pair(esk26_3(X493,X494,X495),X495),X493)
| X494 != relation_rng(X493)
| ~ relation(X493) )
& ( ~ in(ordered_pair(X498,X497),X493)
| in(X497,X494)
| X494 != relation_rng(X493)
| ~ relation(X493) )
& ( ~ in(esk27_2(X493,X499),X499)
| ~ in(ordered_pair(X501,esk27_2(X493,X499)),X493)
| X499 = relation_rng(X493)
| ~ relation(X493) )
& ( in(esk27_2(X493,X499),X499)
| in(ordered_pair(esk28_2(X493,X499),esk27_2(X493,X499)),X493)
| X499 = relation_rng(X493)
| ~ relation(X493) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_relat_1])])])])])]) ).
fof(i_0_166,plain,
! [X462,X463,X464,X466,X467,X468,X470] :
( ( ~ in(X464,X463)
| in(ordered_pair(X464,esk19_3(X462,X463,X464)),X462)
| X463 != relation_dom(X462)
| ~ relation(X462) )
& ( ~ in(ordered_pair(X466,X467),X462)
| in(X466,X463)
| X463 != relation_dom(X462)
| ~ relation(X462) )
& ( ~ in(esk20_2(X462,X468),X468)
| ~ in(ordered_pair(esk20_2(X462,X468),X470),X462)
| X468 = relation_dom(X462)
| ~ relation(X462) )
& ( in(esk20_2(X462,X468),X468)
| in(ordered_pair(esk20_2(X462,X468),esk21_2(X462,X468)),X462)
| X468 = relation_dom(X462)
| ~ relation(X462) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_relat_1])])])])])]) ).
fof(i_0_167,plain,
! [X453,X454,X455,X456,X457,X458,X459,X460] :
( ( in(X456,X453)
| ~ in(X456,X455)
| X455 != set_intersection2(X453,X454) )
& ( in(X456,X454)
| ~ in(X456,X455)
| X455 != set_intersection2(X453,X454) )
& ( ~ in(X457,X453)
| ~ in(X457,X454)
| in(X457,X455)
| X455 != set_intersection2(X453,X454) )
& ( ~ in(esk18_3(X458,X459,X460),X460)
| ~ in(esk18_3(X458,X459,X460),X458)
| ~ in(esk18_3(X458,X459,X460),X459)
| X460 = set_intersection2(X458,X459) )
& ( in(esk18_3(X458,X459,X460),X458)
| in(esk18_3(X458,X459,X460),X460)
| X460 = set_intersection2(X458,X459) )
& ( in(esk18_3(X458,X459,X460),X459)
| in(esk18_3(X458,X459,X460),X460)
| X460 = set_intersection2(X458,X459) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_xboole_0])])])])])]) ).
fof(i_0_168,lemma,
! [X734,X735] : set_difference(X734,set_difference(X734,X735)) = set_intersection2(X734,X735),
inference(variable_rename,[status(thm)],[t48_xboole_1]) ).
fof(i_0_169,plain,
! [X1,X2,X3] :
( X3 = set_difference(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& ~ in(X4,X2) ) ) ),
inference(fof_simplification,[status(thm)],[d4_xboole_0]) ).
fof(i_0_170,plain,
! [X371,X372,X375,X377,X378] :
( ( ~ relation(X371)
| ~ in(X372,X371)
| X372 = ordered_pair(esk1_2(X371,X372),esk2_2(X371,X372)) )
& ( in(esk3_1(X375),X375)
| relation(X375) )
& ( esk3_1(X375) != ordered_pair(X377,X378)
| relation(X375) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_relat_1])])])])])]) ).
fof(i_0_171,lemma,
! [X625,X626,X627,X628] :
( ( in(X625,X627)
| ~ in(ordered_pair(X625,X626),cartesian_product2(X627,X628)) )
& ( in(X626,X628)
| ~ in(ordered_pair(X625,X626),cartesian_product2(X627,X628)) )
& ( ~ in(X625,X627)
| ~ in(X626,X628)
| in(ordered_pair(X625,X626),cartesian_product2(X627,X628)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t106_zfmisc_1])])]) ).
fof(i_0_172,lemma,
! [X600,X601,X602,X603] :
( ( in(X600,X602)
| ~ in(ordered_pair(X600,X601),cartesian_product2(X602,X603)) )
& ( in(X601,X603)
| ~ in(ordered_pair(X600,X601),cartesian_product2(X602,X603)) )
& ( ~ in(X600,X602)
| ~ in(X601,X603)
| in(ordered_pair(X600,X601),cartesian_product2(X602,X603)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l55_zfmisc_1])])]) ).
fof(i_0_173,lemma,
! [X677,X678,X679] :
( ( in(X677,relation_field(X679))
| ~ in(ordered_pair(X677,X678),X679)
| ~ relation(X679) )
& ( in(X678,relation_field(X679))
| ~ in(ordered_pair(X677,X678),X679)
| ~ relation(X679) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t30_relat_1])])]) ).
fof(i_0_174,lemma,
! [X659,X660,X661] :
( ( in(X659,relation_dom(X661))
| ~ in(ordered_pair(X659,X660),X661)
| ~ relation(X661) )
& ( in(X660,relation_rng(X661))
| ~ in(ordered_pair(X659,X660),X661)
| ~ relation(X661) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relat_1])])]) ).
fof(i_0_175,lemma,
! [X752] :
( ~ relation(X752)
| in(ordered_pair(esk48_1(X752),esk49_1(X752)),X752)
| X752 = empty_set ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_154])])]) ).
fof(i_0_176,plain,
! [X556,X557] : ~ empty(ordered_pair(X556,X557)),
inference(variable_rename,[status(thm)],[i_0_155]) ).
fof(i_0_177,lemma,
! [X683,X684,X685,X686] :
( ( X683 = X685
| ordered_pair(X683,X684) != ordered_pair(X685,X686) )
& ( X684 = X686
| ordered_pair(X683,X684) != ordered_pair(X685,X686) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_zfmisc_1])])]) ).
fof(i_0_178,lemma,
! [X665,X666,X667] :
( ~ subset(X665,X666)
| subset(set_intersection2(X665,X667),set_intersection2(X666,X667)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t26_xboole_1])]) ).
fof(i_0_179,lemma,
! [X730,X731] :
( ~ element(X731,powerset(powerset(X730)))
| X731 = empty_set
| subset_difference(X730,cast_to_subset(X730),union_of_subsets(X730,X731)) = meet_of_subsets(X730,complements_of_subsets(X730,X731)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t47_setfam_1])]) ).
fof(i_0_180,plain,
! [X472] : cast_to_subset(X472) = X472,
inference(variable_rename,[status(thm)],[d4_subset_1]) ).
fof(i_0_181,lemma,
! [X732,X733] :
( ~ element(X733,powerset(powerset(X732)))
| X733 = empty_set
| union_of_subsets(X732,complements_of_subsets(X732,X733)) = subset_difference(X732,cast_to_subset(X732),meet_of_subsets(X732,X733)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t48_setfam_1])]) ).
fof(i_0_182,lemma,
! [X740,X741,X743,X744,X745] :
( ( disjoint(X740,X741)
| in(esk47_2(X740,X741),set_intersection2(X740,X741)) )
& ( ~ in(X745,set_intersection2(X743,X744))
| ~ disjoint(X743,X744) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_156])])])])]) ).
fof(i_0_183,lemma,
! [X650,X651,X652] :
( ~ subset(X650,X651)
| ~ subset(X650,X652)
| subset(X650,set_intersection2(X651,X652)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_xboole_1])]) ).
fof(i_0_184,lemma,
! [X593,X594,X595] :
( ~ subset(X593,X594)
| in(X595,X593)
| subset(X593,set_difference(X594,singleton(X595))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l3_zfmisc_1])]) ).
fof(i_0_185,lemma,
! [X1] :
( X1 != empty_set
=> ! [X2] :
( element(X2,powerset(X1))
=> ! [X3] :
( element(X3,X1)
=> ( ~ in(X3,X2)
=> in(X3,subset_complement(X1,X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t50_subset_1]) ).
fof(i_0_186,lemma,
! [X767,X768] :
( ~ subset(singleton(X767),singleton(X768))
| X767 = X768 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_zfmisc_1])]) ).
fof(i_0_187,plain,
! [X392,X393,X394,X395,X396,X397] :
( ( ~ in(X394,X393)
| X394 = X392
| X393 != singleton(X392) )
& ( X395 != X392
| in(X395,X393)
| X393 != singleton(X392) )
& ( ~ in(esk7_2(X396,X397),X397)
| esk7_2(X396,X397) != X396
| X397 = singleton(X396) )
& ( in(esk7_2(X396,X397),X397)
| esk7_2(X396,X397) = X396
| X397 = singleton(X396) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tarski])])])])])]) ).
fof(i_0_188,plain,
! [X1] :
? [X2] :
( in(X1,X2)
& ! [X3,X4] :
( ( in(X3,X2)
& subset(X4,X3) )
=> in(X4,X2) )
& ! [X3] :
~ ( in(X3,X2)
& ! [X4] :
~ ( in(X4,X2)
& ! [X5] :
( subset(X5,X3)
=> in(X5,X4) ) ) )
& ! [X3] :
~ ( subset(X3,X2)
& ~ are_equipotent(X3,X2)
& ~ in(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[t9_tarski]) ).
fof(i_0_189,lemma,
! [X648,X649] : subset(set_intersection2(X648,X649),X648),
inference(variable_rename,[status(thm)],[t17_xboole_1]) ).
fof(i_0_190,lemma,
! [X763,X764] :
( ( set_difference(X763,singleton(X764)) != X763
| ~ in(X764,X763) )
& ( in(X764,X763)
| set_difference(X763,singleton(X764)) = X763 ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_157])]) ).
fof(i_0_191,lemma,
! [X582,X583] :
( ~ disjoint(singleton(X582),X583)
| ~ in(X582,X583) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l25_zfmisc_1])]) ).
fof(i_0_192,lemma,
! [X699,X700] :
( ( ~ subset(X699,singleton(X700))
| X699 = empty_set
| X699 = singleton(X700) )
& ( X699 != empty_set
| subset(X699,singleton(X700)) )
& ( X699 != singleton(X700)
| subset(X699,singleton(X700)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t39_zfmisc_1])])]) ).
fof(i_0_193,lemma,
! [X596,X597] :
( ( ~ subset(X596,singleton(X597))
| X596 = empty_set
| X596 = singleton(X597) )
& ( X596 != empty_set
| subset(X596,singleton(X597)) )
& ( X596 != singleton(X597)
| subset(X596,singleton(X597)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l4_zfmisc_1])])]) ).
fof(i_0_194,plain,
! [X367,X368] : set_intersection2(X367,X368) = set_intersection2(X368,X367),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(i_0_195,lemma,
! [X692,X693] :
( ( ~ subset(singleton(X692),X693)
| in(X692,X693) )
& ( ~ in(X692,X693)
| subset(singleton(X692),X693) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_zfmisc_1])]) ).
fof(i_0_196,lemma,
! [X586,X587] :
( ( ~ subset(singleton(X586),X587)
| in(X586,X587) )
& ( ~ in(X586,X587)
| subset(singleton(X586),X587) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l2_zfmisc_1])]) ).
fof(i_0_197,plain,
! [X516,X517] :
( ( ~ disjoint(X516,X517)
| set_intersection2(X516,X517) = empty_set )
& ( set_intersection2(X516,X517) != empty_set
| disjoint(X516,X517) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_xboole_0])]) ).
fof(i_0_198,lemma,
! [X1] :
? [X2] :
( in(X1,X2)
& ! [X3,X4] :
( ( in(X3,X2)
& subset(X4,X3) )
=> in(X4,X2) )
& ! [X3] :
( in(X3,X2)
=> in(powerset(X3),X2) )
& ! [X3] :
~ ( subset(X3,X2)
& ~ are_equipotent(X3,X2)
& ~ in(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[t136_zfmisc_1]) ).
fof(i_0_199,lemma,
! [X1,X2] :
( ~ ( ~ disjoint(X1,X2)
& ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) ) )
& ~ ( ? [X3] :
( in(X3,X1)
& in(X3,X2) )
& disjoint(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[t3_xboole_0]) ).
fof(i_0_200,lemma,
! [X726,X727] :
( ~ in(X726,X727)
| set_union2(singleton(X726),X727) = X727 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_zfmisc_1])]) ).
fof(i_0_201,lemma,
! [X580,X581] :
( ~ in(X580,X581)
| set_union2(singleton(X580),X581) = X581 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l23_zfmisc_1])]) ).
fof(i_0_202,lemma,
! [X668,X669] :
( ~ subset(X668,X669)
| set_intersection2(X668,X669) = X668 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t28_xboole_1])]) ).
fof(i_0_203,plain,
! [X1,X2] :
( ( ~ empty(X1)
& ~ empty(X2) )
=> ~ empty(cartesian_product2(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc4_subset_1]) ).
fof(i_0_204,lemma,
! [X584,X585] :
( in(X584,X585)
| disjoint(singleton(X584),X585) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_158])]) ).
fof(i_0_205,plain,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc2_xboole_0]) ).
fof(i_0_206,plain,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X2,X1)) ),
inference(fof_simplification,[status(thm)],[fc3_xboole_0]) ).
fof(i_0_207,plain,
! [X560] : ~ empty(singleton(X560)),
inference(variable_rename,[status(thm)],[i_0_159]) ).
fof(i_0_208,plain,
! [X1,X2] : ~ empty(unordered_pair(X1,X2)),
inference(fof_simplification,[status(thm)],[fc3_subset_1]) ).
fof(i_0_209,lemma,
! [X780,X781,X782] :
( singleton(X780) != unordered_pair(X781,X782)
| X780 = X781 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_zfmisc_1])]) ).
fof(i_0_210,lemma,
! [X794,X795,X796] :
( singleton(X794) != unordered_pair(X795,X796)
| X795 = X796 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_zfmisc_1])]) ).
fof(i_0_211,plain,
! [X1,X2] :
( proper_subset(X1,X2)
=> ~ proper_subset(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_xboole_0]) ).
fof(i_0_212,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_213,plain,
! [X1,X2] :
( ( ~ empty(X1)
=> ( element(X2,X1)
<=> in(X2,X1) ) )
& ( empty(X1)
=> ( element(X2,X1)
<=> empty(X2) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
fof(i_0_214,plain,
! [X572] : set_intersection2(X572,X572) = X572,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])]) ).
fof(i_0_215,plain,
! [X670] : set_intersection2(X670,empty_set) = empty_set,
inference(variable_rename,[status(thm)],[t2_boole]) ).
fof(i_0_216,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(i_0_217,plain,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_rng(X1)) ),
inference(fof_simplification,[status(thm)],[fc6_relat_1]) ).
fof(i_0_218,plain,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_dom(X1)) ),
inference(fof_simplification,[status(thm)],[fc5_relat_1]) ).
fof(i_0_219,plain,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
fof(i_0_220,plain,
! [X1,X2] : ~ proper_subset(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_r2_xboole_0]) ).
fof(i_0_221,lemma,
! [X579] : singleton(X579) != empty_set,
inference(variable_rename,[status(thm)],[l1_zfmisc_1]) ).
fof(i_0_222,plain,
! [X538] : element(cast_to_subset(X538),powerset(X538)),
inference(variable_rename,[status(thm)],[dt_k2_subset_1]) ).
fof(i_0_223,plain,
! [X1] : ~ empty(powerset(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(i_0_224,negated_conjecture,
~ ( relation_dom(empty_set) = empty_set
& relation_rng(empty_set) = empty_set ),
inference(assume_negation,[status(cth)],[t60_relat_1]) ).
fof(i_0_225,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_226,plain,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
inference(fof_simplification,[status(thm)],[rc2_relat_1]) ).
cnf(i_0_227,plain,
( in(ordered_pair(esk31_5(X1,X2,X3,X4,X5),X5),X2)
| ~ in(ordered_pair(X4,X5),X3)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_160]) ).
cnf(i_0_228,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),
inference(rw,[status(thm)],[i_0_161,c_0_162]) ).
cnf(i_0_229,plain,
( in(ordered_pair(X1,esk31_5(X2,X3,X4,X1,X5)),X2)
| ~ in(ordered_pair(X1,X5),X4)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_160]) ).
cnf(i_0_230,plain,
( X3 = relation_composition(X1,X2)
| ~ in(ordered_pair(esk32_3(X1,X2,X3),esk33_3(X1,X2,X3)),X3)
| ~ in(ordered_pair(esk32_3(X1,X2,X3),X4),X1)
| ~ in(ordered_pair(X4,esk33_3(X1,X2,X3)),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_160]) ).
cnf(i_0_231,plain,
( X1 = ordered_pair(esk12_4(X2,X3,X4,X1),esk13_4(X2,X3,X4,X1))
| ~ in(X1,X4)
| X4 != cartesian_product2(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_163]) ).
cnf(i_0_232,plain,
( in(ordered_pair(esk34_3(X1,X2,X3),esk33_3(X1,X2,X3)),X2)
| in(ordered_pair(esk32_3(X1,X2,X3),esk33_3(X1,X2,X3)),X3)
| X3 = relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_160]) ).
cnf(i_0_233,plain,
( in(ordered_pair(esk32_3(X1,X2,X3),esk34_3(X1,X2,X3)),X1)
| in(ordered_pair(esk32_3(X1,X2,X3),esk33_3(X1,X2,X3)),X3)
| X3 = relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_160]) ).
cnf(i_0_234,plain,
( X2 = relation_inverse(X1)
| ~ in(ordered_pair(esk29_2(X1,X2),esk30_2(X1,X2)),X2)
| ~ in(ordered_pair(esk30_2(X1,X2),esk29_2(X1,X2)),X1)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_164]) ).
cnf(i_0_235,plain,
( in(ordered_pair(esk26_3(X3,X2,X1),X1),X3)
| ~ in(X1,X2)
| X2 != relation_rng(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[i_0_165]) ).
cnf(i_0_236,plain,
( in(ordered_pair(esk29_2(X1,X2),esk30_2(X1,X2)),X2)
| in(ordered_pair(esk30_2(X1,X2),esk29_2(X1,X2)),X1)
| X2 = relation_inverse(X1)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_164]) ).
cnf(i_0_237,plain,
( esk14_3(X1,X2,X3) = ordered_pair(esk15_3(X1,X2,X3),esk16_3(X1,X2,X3))
| in(esk14_3(X1,X2,X3),X3)
| X3 = cartesian_product2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_163]) ).
cnf(i_0_238,plain,
( X2 = relation_dom(X1)
| ~ in(esk20_2(X1,X2),X2)
| ~ in(ordered_pair(esk20_2(X1,X2),X3),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_166]) ).
fof(i_0_239,plain,
! [X531,X532,X533,X534] :
( ( ~ in(X534,X533)
| in(subset_complement(X531,X534),X532)
| ~ element(X534,powerset(X531))
| X533 != complements_of_subsets(X531,X532)
| ~ element(X533,powerset(powerset(X531)))
| ~ element(X532,powerset(powerset(X531))) )
& ( ~ in(subset_complement(X531,X534),X532)
| in(X534,X533)
| ~ element(X534,powerset(X531))
| X533 != complements_of_subsets(X531,X532)
| ~ element(X533,powerset(powerset(X531)))
| ~ element(X532,powerset(powerset(X531))) )
& ( element(esk35_3(X531,X532,X533),powerset(X531))
| X533 = complements_of_subsets(X531,X532)
| ~ element(X533,powerset(powerset(X531)))
| ~ element(X532,powerset(powerset(X531))) )
& ( ~ in(esk35_3(X531,X532,X533),X533)
| ~ in(subset_complement(X531,esk35_3(X531,X532,X533)),X532)
| X533 = complements_of_subsets(X531,X532)
| ~ element(X533,powerset(powerset(X531)))
| ~ element(X532,powerset(powerset(X531))) )
& ( in(esk35_3(X531,X532,X533),X533)
| in(subset_complement(X531,esk35_3(X531,X532,X533)),X532)
| X533 = complements_of_subsets(X531,X532)
| ~ element(X533,powerset(powerset(X531)))
| ~ element(X532,powerset(powerset(X531))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_setfam_1])])])])]) ).
cnf(i_0_240,plain,
( in(ordered_pair(X1,X4),X6)
| ~ in(ordered_pair(X1,X2),X3)
| ~ in(ordered_pair(X2,X4),X5)
| X6 != relation_composition(X3,X5)
| ~ relation(X6)
| ~ relation(X5)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[i_0_160]) ).
cnf(i_0_241,plain,
( X3 = set_intersection2(X1,X2)
| ~ in(esk18_3(X1,X2,X3),X3)
| ~ in(esk18_3(X1,X2,X3),X1)
| ~ in(esk18_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_167]) ).
cnf(i_0_242,lemma,
set_difference(X1,set_difference(X1,X2)) = set_intersection2(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_168]) ).
cnf(i_0_243,plain,
( in(esk27_2(X1,X2),X2)
| in(ordered_pair(esk28_2(X1,X2),esk27_2(X1,X2)),X1)
| X2 = relation_rng(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_165]) ).
cnf(i_0_244,plain,
( in(esk20_2(X1,X2),X2)
| in(ordered_pair(esk20_2(X1,X2),esk21_2(X1,X2)),X1)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_166]) ).
cnf(i_0_245,plain,
( in(ordered_pair(X1,esk19_3(X3,X2,X1)),X3)
| ~ in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[i_0_166]) ).
fof(i_0_246,plain,
! [X484,X485,X486,X487,X488,X489,X490,X491] :
( ( in(X487,X484)
| ~ in(X487,X486)
| X486 != set_difference(X484,X485) )
& ( ~ in(X487,X485)
| ~ in(X487,X486)
| X486 != set_difference(X484,X485) )
& ( ~ in(X488,X484)
| in(X488,X485)
| in(X488,X486)
| X486 != set_difference(X484,X485) )
& ( ~ in(esk25_3(X489,X490,X491),X491)
| ~ in(esk25_3(X489,X490,X491),X489)
| in(esk25_3(X489,X490,X491),X490)
| X491 = set_difference(X489,X490) )
& ( in(esk25_3(X489,X490,X491),X489)
| in(esk25_3(X489,X490,X491),X491)
| X491 = set_difference(X489,X490) )
& ( ~ in(esk25_3(X489,X490,X491),X490)
| in(esk25_3(X489,X490,X491),X491)
| X491 = set_difference(X489,X490) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_169])])])])])]) ).
cnf(i_0_247,plain,
( X2 = relation_rng(X1)
| ~ in(esk27_2(X1,X2),X2)
| ~ in(ordered_pair(X3,esk27_2(X1,X2)),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_165]) ).
cnf(i_0_248,plain,
( X3 = cartesian_product2(X1,X2)
| ~ in(esk14_3(X1,X2,X3),X3)
| ~ in(X4,X1)
| ~ in(X5,X2)
| esk14_3(X1,X2,X3) != ordered_pair(X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_163]) ).
fof(i_0_249,plain,
! [X421,X422,X423,X424,X425,X426,X427,X428] :
( ( ~ in(X424,X423)
| in(X424,X421)
| in(X424,X422)
| X423 != set_union2(X421,X422) )
& ( ~ in(X425,X421)
| in(X425,X423)
| X423 != set_union2(X421,X422) )
& ( ~ in(X425,X422)
| in(X425,X423)
| X423 != set_union2(X421,X422) )
& ( ~ in(esk11_3(X426,X427,X428),X426)
| ~ in(esk11_3(X426,X427,X428),X428)
| X428 = set_union2(X426,X427) )
& ( ~ in(esk11_3(X426,X427,X428),X427)
| ~ in(esk11_3(X426,X427,X428),X428)
| X428 = set_union2(X426,X427) )
& ( in(esk11_3(X426,X427,X428),X428)
| in(esk11_3(X426,X427,X428),X426)
| in(esk11_3(X426,X427,X428),X427)
| X428 = set_union2(X426,X427) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_xboole_0])])])])])]) ).
cnf(i_0_250,plain,
( in(ordered_pair(X2,X1),X4)
| ~ in(ordered_pair(X1,X2),X3)
| X3 != relation_inverse(X4)
| ~ relation(X3)
| ~ relation(X4) ),
inference(split_conjunct,[status(thm)],[i_0_164]) ).
cnf(i_0_251,plain,
( in(ordered_pair(X2,X1),X4)
| ~ in(ordered_pair(X1,X2),X3)
| X4 != relation_inverse(X3)
| ~ relation(X4)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[i_0_164]) ).
cnf(i_0_252,plain,
( X2 = ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))
| ~ relation(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]) ).
fof(i_0_253,plain,
! [X412,X413,X414,X415,X416,X417,X418,X419] :
( ( ~ in(X415,X414)
| X415 = X412
| X415 = X413
| X414 != unordered_pair(X412,X413) )
& ( X416 != X412
| in(X416,X414)
| X414 != unordered_pair(X412,X413) )
& ( X416 != X413
| in(X416,X414)
| X414 != unordered_pair(X412,X413) )
& ( esk10_3(X417,X418,X419) != X417
| ~ in(esk10_3(X417,X418,X419),X419)
| X419 = unordered_pair(X417,X418) )
& ( esk10_3(X417,X418,X419) != X418
| ~ in(esk10_3(X417,X418,X419),X419)
| X419 = unordered_pair(X417,X418) )
& ( in(esk10_3(X417,X418,X419),X419)
| esk10_3(X417,X418,X419) = X417
| esk10_3(X417,X418,X419) = X418
| X419 = unordered_pair(X417,X418) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tarski])])])])])]) ).
cnf(i_0_254,plain,
( in(esk18_3(X1,X2,X3),X1)
| in(esk18_3(X1,X2,X3),X3)
| X3 = set_intersection2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_167]) ).
cnf(i_0_255,plain,
( in(esk18_3(X1,X2,X3),X2)
| in(esk18_3(X1,X2,X3),X3)
| X3 = set_intersection2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_167]) ).
cnf(i_0_256,lemma,
( in(X1,X2)
| ~ in(ordered_pair(X1,X3),cartesian_product2(X2,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_171]) ).
cnf(i_0_257,lemma,
( in(X1,X2)
| ~ in(ordered_pair(X1,X3),cartesian_product2(X2,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_172]) ).
cnf(i_0_258,lemma,
( in(X1,X2)
| ~ in(ordered_pair(X3,X1),cartesian_product2(X4,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_171]) ).
cnf(i_0_259,lemma,
( in(X1,X2)
| ~ in(ordered_pair(X3,X1),cartesian_product2(X4,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_172]) ).
cnf(i_0_260,plain,
( in(X1,X4)
| ~ in(ordered_pair(X1,X2),X3)
| X4 != relation_dom(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[i_0_166]) ).
cnf(i_0_261,plain,
( in(X2,X4)
| ~ in(ordered_pair(X1,X2),X3)
| X4 != relation_rng(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[i_0_165]) ).
cnf(i_0_262,lemma,
( in(X1,relation_field(X2))
| ~ in(ordered_pair(X1,X3),X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_173]) ).
cnf(i_0_263,lemma,
( in(X1,relation_field(X2))
| ~ in(ordered_pair(X3,X1),X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_173]) ).
cnf(i_0_264,lemma,
( in(X1,relation_rng(X2))
| ~ in(ordered_pair(X3,X1),X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_174]) ).
cnf(i_0_265,lemma,
( in(X1,relation_dom(X2))
| ~ in(ordered_pair(X1,X3),X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_174]) ).
cnf(i_0_266,lemma,
( in(ordered_pair(esk48_1(X1),esk49_1(X1)),X1)
| X1 = empty_set
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_175]) ).
cnf(i_0_267,lemma,
( in(ordered_pair(X1,X3),cartesian_product2(X2,X4))
| ~ in(X1,X2)
| ~ in(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_171]) ).
cnf(i_0_268,lemma,
( in(ordered_pair(X1,X3),cartesian_product2(X2,X4))
| ~ in(X1,X2)
| ~ in(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_172]) ).
fof(i_0_269,plain,
! [X379,X380,X381,X382,X383,X385,X388,X389,X390,X391] :
( ( ~ in(X381,X380)
| ~ in(X382,X379)
| in(X381,X382)
| X380 != set_meet(X379)
| X379 = empty_set )
& ( in(esk4_3(X379,X380,X383),X379)
| in(X383,X380)
| X380 != set_meet(X379)
| X379 = empty_set )
& ( ~ in(X383,esk4_3(X379,X380,X383))
| in(X383,X380)
| X380 != set_meet(X379)
| X379 = empty_set )
& ( in(esk6_2(X379,X385),X379)
| ~ in(esk5_2(X379,X385),X385)
| X385 = set_meet(X379)
| X379 = empty_set )
& ( ~ in(esk5_2(X379,X385),esk6_2(X379,X385))
| ~ in(esk5_2(X379,X385),X385)
| X385 = set_meet(X379)
| X379 = empty_set )
& ( in(esk5_2(X379,X385),X385)
| ~ in(X388,X379)
| in(esk5_2(X379,X385),X388)
| X385 = set_meet(X379)
| X379 = empty_set )
& ( X390 != set_meet(X389)
| X390 = empty_set
| X389 != empty_set )
& ( X391 != empty_set
| X391 = set_meet(X389)
| X389 != empty_set ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_setfam_1])])])])])]) ).
cnf(i_0_270,plain,
~ empty(ordered_pair(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_176]) ).
cnf(i_0_271,lemma,
( X1 = X2
| ordered_pair(X1,X3) != ordered_pair(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_177]) ).
cnf(i_0_272,lemma,
( X1 = X2
| ordered_pair(X3,X1) != ordered_pair(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_177]) ).
cnf(i_0_273,lemma,
( subset(set_intersection2(X1,X3),set_intersection2(X2,X3))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_178]) ).
fof(i_0_274,plain,
! [X548,X549,X550] :
( ~ element(X549,powerset(X548))
| ~ element(X550,powerset(X548))
| element(subset_difference(X548,X549,X550),powerset(X548)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_subset_1])]) ).
cnf(i_0_275,plain,
( in(X5,X6)
| ~ in(X1,X2)
| ~ in(X3,X4)
| X5 != ordered_pair(X1,X3)
| X6 != cartesian_product2(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_163]) ).
cnf(i_0_276,lemma,
( X1 = empty_set
| subset_difference(X2,cast_to_subset(X2),union_of_subsets(X2,X1)) = meet_of_subsets(X2,complements_of_subsets(X2,X1))
| ~ element(X1,powerset(powerset(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_179]) ).
cnf(i_0_277,plain,
cast_to_subset(X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_180]) ).
cnf(i_0_278,lemma,
( X1 = empty_set
| union_of_subsets(X2,complements_of_subsets(X2,X1)) = subset_difference(X2,cast_to_subset(X2),meet_of_subsets(X2,X1))
| ~ element(X1,powerset(powerset(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_181]) ).
cnf(i_0_279,lemma,
( ~ in(X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_182]) ).
fof(i_0_280,plain,
! [X473,X474,X475,X477,X478,X479,X480,X482] :
( ( in(X475,esk22_3(X473,X474,X475))
| ~ in(X475,X474)
| X474 != union(X473) )
& ( in(esk22_3(X473,X474,X475),X473)
| ~ in(X475,X474)
| X474 != union(X473) )
& ( ~ in(X477,X478)
| ~ in(X478,X473)
| in(X477,X474)
| X474 != union(X473) )
& ( ~ in(esk23_2(X479,X480),X480)
| ~ in(esk23_2(X479,X480),X482)
| ~ in(X482,X479)
| X480 = union(X479) )
& ( in(esk23_2(X479,X480),esk24_2(X479,X480))
| in(esk23_2(X479,X480),X480)
| X480 = union(X479) )
& ( in(esk24_2(X479,X480),X479)
| in(esk23_2(X479,X480),X480)
| X480 = union(X479) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_tarski])])])])])]) ).
fof(i_0_281,lemma,
! [X713,X714,X715] :
( ( ~ disjoint(X714,X715)
| subset(X714,subset_complement(X713,X715))
| ~ element(X715,powerset(X713))
| ~ element(X714,powerset(X713)) )
& ( ~ subset(X714,subset_complement(X713,X715))
| disjoint(X714,X715)
| ~ element(X715,powerset(X713))
| ~ element(X714,powerset(X713)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t43_subset_1])])])]) ).
cnf(i_0_282,lemma,
( subset(X1,set_intersection2(X2,X3))
| ~ subset(X1,X2)
| ~ subset(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_183]) ).
fof(i_0_283,plain,
! [X619,X620,X621] :
( ~ element(X620,powerset(X619))
| ~ element(X621,powerset(X619))
| subset_difference(X619,X620,X621) = set_difference(X620,X621) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_subset_1])]) ).
cnf(i_0_284,lemma,
( disjoint(X1,X2)
| in(esk47_2(X1,X2),set_intersection2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_182]) ).
fof(i_0_285,plain,
! [X403,X404,X405,X406,X407,X408] :
( ( ~ in(X405,X404)
| subset(X405,X403)
| X404 != powerset(X403) )
& ( ~ subset(X406,X403)
| in(X406,X404)
| X404 != powerset(X403) )
& ( ~ in(esk9_2(X407,X408),X408)
| ~ subset(esk9_2(X407,X408),X407)
| X408 = powerset(X407) )
& ( in(esk9_2(X407,X408),X408)
| subset(esk9_2(X407,X408),X407)
| X408 = powerset(X407) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_zfmisc_1])])])])])]) ).
cnf(i_0_286,lemma,
( in(X3,X1)
| subset(X1,set_difference(X2,singleton(X3)))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_184]) ).
fof(i_0_287,plain,
! [X673,X674] :
( ( ~ in(esk45_2(X673,X674),X673)
| ~ in(esk45_2(X673,X674),X674)
| X673 = X674 )
& ( in(esk45_2(X673,X674),X673)
| in(esk45_2(X673,X674),X674)
| X673 = X674 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
cnf(i_0_288,plain,
( in(X1,X4)
| ~ in(X1,X2)
| ~ in(X1,X3)
| X4 != set_intersection2(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_167]) ).
fof(i_0_289,lemma,
! [X749,X750,X751] :
( ~ element(X751,powerset(X749))
| ~ in(X750,subset_complement(X749,X751))
| ~ in(X750,X751) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t54_subset_1])]) ).
cnf(i_0_290,plain,
( relation(X1)
| esk3_1(X1) != ordered_pair(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_170]) ).
fof(i_0_291,lemma,
! [X636,X637,X638,X639] :
( ~ subset(X636,X637)
| ~ subset(X638,X639)
| subset(cartesian_product2(X636,X638),cartesian_product2(X637,X639)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t119_zfmisc_1])]) ).
fof(i_0_292,lemma,
! [X746,X747,X748] :
( X746 = empty_set
| ~ element(X747,powerset(X746))
| ~ element(X748,X746)
| in(X748,X747)
| in(X748,subset_complement(X746,X747)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_185])])]) ).
fof(i_0_293,plain,
! [X551,X552] :
( ~ element(X552,powerset(powerset(X551)))
| element(complements_of_subsets(X551,X552),powerset(powerset(X551))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_setfam_1])]) ).
cnf(i_0_294,lemma,
( X1 = X2
| ~ subset(singleton(X1),singleton(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_186]) ).
cnf(i_0_295,plain,
( X2 = singleton(X1)
| ~ in(esk7_2(X1,X2),X2)
| esk7_2(X1,X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_187]) ).
cnf(i_0_296,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_167]) ).
cnf(i_0_297,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_167]) ).
fof(i_0_298,plain,
! [X546,X547] :
( ~ element(X547,powerset(powerset(X546)))
| element(meet_of_subsets(X546,X547),powerset(X546)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_setfam_1])]) ).
fof(i_0_299,plain,
! [X544,X545] :
( ~ element(X545,powerset(powerset(X544)))
| element(union_of_subsets(X544,X545),powerset(X544)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_setfam_1])]) ).
fof(i_0_300,plain,
! [X786,X788,X789,X790,X792,X793] :
( in(X786,esk50_1(X786))
& ( ~ in(X788,esk50_1(X786))
| ~ subset(X789,X788)
| in(X789,esk50_1(X786)) )
& ( in(esk51_2(X786,X790),esk50_1(X786))
| ~ in(X790,esk50_1(X786)) )
& ( ~ subset(X792,X790)
| in(X792,esk51_2(X786,X790))
| ~ in(X790,esk50_1(X786)) )
& ( ~ subset(X793,esk50_1(X786))
| are_equipotent(X793,esk50_1(X786))
| in(X793,esk50_1(X786)) ) ),
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_188])])])])]) ).
fof(i_0_301,lemma,
! [X718,X719] :
( ~ relation(X718)
| ~ relation(X719)
| subset(relation_rng(relation_composition(X718,X719)),relation_rng(X719)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t45_relat_1])])]) ).
fof(i_0_302,lemma,
! [X716,X717] :
( ~ relation(X716)
| ~ relation(X717)
| subset(relation_dom(relation_composition(X716,X717)),relation_dom(X716)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t44_relat_1])])]) ).
fof(i_0_303,plain,
! [X576,X577] :
( ~ element(X577,powerset(powerset(X576)))
| complements_of_subsets(X576,complements_of_subsets(X576,X577)) = X577 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k7_setfam_1])]) ).
cnf(i_0_304,lemma,
subset(set_intersection2(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_189]) ).
fof(i_0_305,lemma,
! [X728,X729] :
( ~ relation(X728)
| ~ relation(X729)
| ~ subset(relation_dom(X728),relation_rng(X729))
| relation_rng(relation_composition(X729,X728)) = relation_rng(X728) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t47_relat_1])])]) ).
fof(i_0_306,lemma,
! [X722,X723] :
( ~ relation(X722)
| ~ relation(X723)
| ~ subset(relation_rng(X722),relation_dom(X723))
| relation_dom(relation_composition(X722,X723)) = relation_dom(X722) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_relat_1])])]) ).
fof(i_0_307,lemma,
! [X680,X681,X682] :
( ~ subset(X680,X681)
| subset(set_difference(X680,X682),set_difference(X681,X682)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_xboole_1])]) ).
fof(i_0_308,lemma,
! [X633,X634,X635] :
( ( subset(cartesian_product2(X633,X635),cartesian_product2(X634,X635))
| ~ subset(X633,X634) )
& ( subset(cartesian_product2(X635,X633),cartesian_product2(X635,X634))
| ~ subset(X633,X634) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t118_zfmisc_1])])]) ).
cnf(i_0_309,lemma,
( set_difference(X1,singleton(X2)) != X1
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_190]) ).
cnf(i_0_310,lemma,
( ~ disjoint(singleton(X1),X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_191]) ).
fof(i_0_311,lemma,
! [X777,X778,X779] :
( ~ subset(X777,X778)
| ~ subset(X779,X778)
| subset(set_union2(X777,X779),X778) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_xboole_1])]) ).
fof(i_0_312,lemma,
! [X694,X695,X696] :
( ( in(X694,X696)
| ~ subset(unordered_pair(X694,X695),X696) )
& ( in(X695,X696)
| ~ subset(unordered_pair(X694,X695),X696) )
& ( ~ in(X694,X696)
| ~ in(X695,X696)
| subset(unordered_pair(X694,X695),X696) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t38_zfmisc_1])])]) ).
fof(i_0_313,lemma,
! [X604,X605] :
( ( in(esk37_2(X604,X605),X604)
| element(X604,powerset(X605)) )
& ( ~ in(esk37_2(X604,X605),X605)
| element(X604,powerset(X605)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l71_subset_1])])])]) ).
cnf(i_0_314,lemma,
( X1 = empty_set
| X1 = singleton(X2)
| ~ subset(X1,singleton(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_192]) ).
cnf(i_0_315,lemma,
( X1 = empty_set
| X1 = singleton(X2)
| ~ subset(X1,singleton(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_193]) ).
cnf(i_0_316,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_194]) ).
fof(i_0_317,plain,
! [X539,X540] :
( ~ element(X540,powerset(X539))
| element(subset_complement(X539,X540),powerset(X539)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_subset_1])]) ).
fof(i_0_318,plain,
! [X447,X448,X449,X450,X451] :
( ( ~ subset(X447,X448)
| ~ in(X449,X447)
| in(X449,X448) )
& ( in(esk17_2(X450,X451),X450)
| subset(X450,X451) )
& ( ~ in(esk17_2(X450,X451),X451)
| subset(X450,X451) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).
cnf(i_0_319,lemma,
( in(X1,X2)
| ~ subset(singleton(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_195]) ).
cnf(i_0_320,lemma,
( in(X1,X2)
| ~ subset(singleton(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_196]) ).
cnf(i_0_321,plain,
( disjoint(X1,X2)
| set_intersection2(X1,X2) != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_197]) ).
fof(i_0_322,lemma,
! [X724,X725] :
( ~ element(X725,powerset(powerset(X724)))
| X725 = empty_set
| complements_of_subsets(X724,X725) != empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_setfam_1])]) ).
fof(i_0_323,lemma,
! [X642,X644,X645,X646,X647] :
( in(X642,esk44_1(X642))
& ( ~ in(X644,esk44_1(X642))
| ~ subset(X645,X644)
| in(X645,esk44_1(X642)) )
& ( ~ in(X646,esk44_1(X642))
| in(powerset(X646),esk44_1(X642)) )
& ( ~ subset(X647,esk44_1(X642))
| are_equipotent(X647,esk44_1(X642))
| in(X647,esk44_1(X642)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_198])])])]) ).
fof(i_0_324,plain,
! [X573,X574] :
( ~ element(X574,powerset(X573))
| subset_complement(X573,subset_complement(X573,X574)) = X574 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k3_subset_1])]) ).
fof(i_0_325,lemma,
! [X662] :
( ~ relation(X662)
| subset(X662,cartesian_product2(relation_dom(X662),relation_rng(X662))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_relat_1])]) ).
cnf(i_0_326,plain,
( in(esk7_2(X1,X2),X2)
| esk7_2(X1,X2) = X1
| X2 = singleton(X1) ),
inference(split_conjunct,[status(thm)],[i_0_187]) ).
fof(i_0_327,plain,
! [X617,X618] :
( ~ element(X618,powerset(powerset(X617)))
| meet_of_subsets(X617,X618) = set_meet(X618) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_setfam_1])]) ).
fof(i_0_328,plain,
! [X615,X616] :
( ~ element(X616,powerset(powerset(X615)))
| union_of_subsets(X615,X616) = union(X616) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_setfam_1])]) ).
fof(i_0_329,plain,
! [X737,X738,X739] :
( ~ in(X737,X738)
| ~ element(X738,powerset(X739))
| element(X737,X739) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_330,lemma,
! [X590,X591,X592] :
( ~ element(X591,powerset(X590))
| ~ in(X592,X591)
| in(X592,X590) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l3_subset_1])])]) ).
fof(i_0_331,lemma,
! [X704,X705,X707,X708,X709] :
( ( in(esk46_2(X704,X705),X704)
| disjoint(X704,X705) )
& ( in(esk46_2(X704,X705),X705)
| disjoint(X704,X705) )
& ( ~ in(X709,X707)
| ~ in(X709,X708)
| ~ disjoint(X707,X708) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_199])])])])])]) ).
cnf(i_0_332,lemma,
( subset(X1,singleton(X2))
| X1 != singleton(X2) ),
inference(split_conjunct,[status(thm)],[i_0_192]) ).
cnf(i_0_333,lemma,
( subset(X1,singleton(X2))
| X1 != singleton(X2) ),
inference(split_conjunct,[status(thm)],[i_0_193]) ).
cnf(i_0_334,lemma,
( set_union2(singleton(X1),X2) = X2
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_200]) ).
cnf(i_0_335,lemma,
( set_union2(singleton(X1),X2) = X2
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_201]) ).
cnf(i_0_336,lemma,
( set_intersection2(X1,X2) = X1
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_202]) ).
fof(i_0_337,lemma,
! [X720,X721] :
( ~ subset(X720,X721)
| X721 = set_union2(X720,set_difference(X721,X720)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t45_xboole_1])]) ).
fof(i_0_338,lemma,
! [X663,X664] :
( ( subset(relation_dom(X663),relation_dom(X664))
| ~ subset(X663,X664)
| ~ relation(X664)
| ~ relation(X663) )
& ( subset(relation_rng(X663),relation_rng(X664))
| ~ subset(X663,X664)
| ~ relation(X664)
| ~ relation(X663) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_relat_1])])])]) ).
cnf(i_0_339,lemma,
( subset(singleton(X1),X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_195]) ).
cnf(i_0_340,lemma,
( subset(singleton(X1),X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_196]) ).
cnf(i_0_341,plain,
( set_intersection2(X1,X2) = empty_set
| ~ disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_197]) ).
fof(i_0_342,plain,
! [X755,X756,X757] :
( ~ in(X755,X756)
| ~ element(X756,powerset(X757))
| ~ empty(X757) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_343,plain,
! [X503,X504] :
( ~ element(X504,powerset(X503))
| subset_complement(X503,X504) = set_difference(X503,X504) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_subset_1])]) ).
fof(i_0_344,lemma,
! [X760,X761,X762] :
( ~ subset(X760,X761)
| ~ disjoint(X761,X762)
| disjoint(X760,X762) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t63_xboole_1])]) ).
fof(i_0_345,lemma,
! [X656,X657,X658] :
( ~ subset(X656,X657)
| ~ subset(X657,X658)
| subset(X656,X658) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
fof(i_0_346,plain,
! [X567,X568] :
( empty(X567)
| empty(X568)
| ~ empty(cartesian_product2(X567,X568)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_203])]) ).
cnf(i_0_347,lemma,
( in(X1,X2)
| set_difference(X2,singleton(X1)) = X2 ),
inference(split_conjunct,[status(thm)],[i_0_190]) ).
cnf(i_0_348,lemma,
( in(X1,X2)
| disjoint(singleton(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_204]) ).
fof(i_0_349,lemma,
! [X711,X712] : set_difference(set_union2(X711,X712),X712) = set_difference(X711,X712),
inference(variable_rename,[status(thm)],[t40_xboole_1]) ).
fof(i_0_350,lemma,
! [X697,X698] : set_union2(X697,set_difference(X698,X697)) = set_union2(X697,X698),
inference(variable_rename,[status(thm)],[t39_xboole_1]) ).
fof(i_0_351,plain,
! [X561,X562] :
( empty(X561)
| ~ empty(set_union2(X561,X562)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_205])]) ).
fof(i_0_352,plain,
! [X565,X566] :
( empty(X565)
| ~ empty(set_union2(X566,X565)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_206])]) ).
cnf(i_0_353,plain,
( X1 = X3
| ~ in(X1,X2)
| X2 != singleton(X3) ),
inference(split_conjunct,[status(thm)],[i_0_187]) ).
fof(i_0_354,lemma,
! [X629,X630,X631,X632] :
( unordered_pair(X629,X630) != unordered_pair(X631,X632)
| X629 = X631
| X629 = X632 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_zfmisc_1])]) ).
cnf(i_0_355,plain,
~ empty(singleton(X1)),
inference(split_conjunct,[status(thm)],[i_0_207]) ).
fof(i_0_356,plain,
! [X563,X564] : ~ empty(unordered_pair(X563,X564)),
inference(variable_rename,[status(thm)],[i_0_208]) ).
fof(i_0_357,plain,
! [X369,X370] :
( ( subset(X369,X370)
| X369 != X370 )
& ( subset(X370,X369)
| X369 != X370 )
& ( ~ subset(X369,X370)
| ~ subset(X370,X369)
| X369 = X370 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
fof(i_0_358,plain,
! [X702,X703] :
( ( ~ element(X702,powerset(X703))
| subset(X702,X703) )
& ( ~ subset(X702,X703)
| element(X702,powerset(X703)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(i_0_359,lemma,
( X1 = X2
| singleton(X1) != unordered_pair(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_209]) ).
cnf(i_0_360,lemma,
( X2 = X3
| singleton(X1) != unordered_pair(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_210]) ).
fof(i_0_361,lemma,
! [X758,X759] :
( ~ subset(X758,X759)
| ~ proper_subset(X759,X758) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t60_xboole_1])]) ).
fof(i_0_362,plain,
! [X360,X361] :
( ~ proper_subset(X360,X361)
| ~ proper_subset(X361,X360) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_211])]) ).
fof(i_0_363,plain,
! [X358,X359] :
( ~ in(X358,X359)
| ~ in(X359,X358) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_212])]) ).
fof(i_0_364,plain,
! [X542,X543] :
( ~ relation(X542)
| ~ relation(X543)
| relation(relation_composition(X542,X543)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relat_1])]) ).
fof(i_0_365,plain,
! [X558,X559] :
( ~ relation(X558)
| ~ relation(X559)
| relation(set_union2(X558,X559)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_relat_1])]) ).
fof(i_0_366,lemma,
! [X783,X784] :
( ~ in(X783,X784)
| subset(X783,union(X784)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t92_zfmisc_1])]) ).
fof(i_0_367,lemma,
! [X598,X599] :
( ~ in(X598,X599)
| subset(X598,union(X599)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l50_zfmisc_1])]) ).
cnf(i_0_368,lemma,
( subset(X1,singleton(X2))
| X1 != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_192]) ).
cnf(i_0_369,lemma,
( subset(X1,singleton(X2))
| X1 != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_193]) ).
cnf(i_0_370,plain,
( in(X1,X3)
| X1 != X2
| X3 != singleton(X2) ),
inference(split_conjunct,[status(thm)],[i_0_187]) ).
fof(i_0_371,plain,
! [X410,X411] :
( ( ~ element(X411,X410)
| in(X411,X410)
| empty(X410) )
& ( ~ in(X411,X410)
| element(X411,X410)
| empty(X410) )
& ( ~ element(X411,X410)
| empty(X411)
| ~ empty(X410) )
& ( ~ empty(X411)
| element(X411,X410)
| ~ empty(X410) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_213])])]) ).
fof(i_0_372,plain,
! [X671,X672] :
( ~ element(X671,X672)
| empty(X672)
| in(X671,X672) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(i_0_373,plain,
set_intersection2(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_214]) ).
fof(i_0_374,lemma,
! [X687,X688] : subset(set_difference(X687,X688),X687),
inference(variable_rename,[status(thm)],[t36_xboole_1]) ).
fof(i_0_375,lemma,
! [X771,X772] : subset(X771,set_union2(X771,X772)),
inference(variable_rename,[status(thm)],[t7_xboole_1]) ).
fof(i_0_376,plain,
! [X536,X537] :
( ( subset(X536,X537)
| ~ proper_subset(X536,X537) )
& ( X536 != X537
| ~ proper_subset(X536,X537) )
& ( ~ subset(X536,X537)
| X536 = X537
| proper_subset(X536,X537) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_xboole_0])])]) ).
fof(i_0_377,lemma,
! [X773,X774] :
( ( ~ disjoint(X773,X774)
| set_difference(X773,X774) = X773 )
& ( set_difference(X773,X774) != X773
| disjoint(X773,X774) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t83_xboole_1])]) ).
fof(i_0_378,lemma,
! [X640,X641] :
( ~ subset(X640,X641)
| set_union2(X640,X641) = X641 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_xboole_1])]) ).
fof(i_0_379,plain,
! [X507] :
( ~ relation(X507)
| relation_field(X507) = set_union2(relation_dom(X507),relation_rng(X507)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_relat_1])]) ).
cnf(i_0_380,plain,
set_intersection2(X1,empty_set) = empty_set,
inference(split_conjunct,[status(thm)],[i_0_215]) ).
fof(i_0_381,plain,
! [X623,X624] :
( ~ disjoint(X623,X624)
| disjoint(X624,X623) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r1_xboole_0])]) ).
fof(i_0_382,plain,
! [X654,X655] :
( ~ in(X654,X655)
| element(X654,X655) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_383,lemma,
! [X690,X691] :
( ( set_difference(X690,X691) != empty_set
| subset(X690,X691) )
& ( ~ subset(X690,X691)
| set_difference(X690,X691) = empty_set ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_xboole_1])]) ).
fof(i_0_384,lemma,
! [X588,X589] :
( ( set_difference(X588,X589) != empty_set
| subset(X588,X589) )
& ( ~ subset(X588,X589)
| set_difference(X588,X589) = empty_set ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l32_xboole_1])]) ).
fof(i_0_385,plain,
! [X608] :
( ( element(esk39_1(X608),powerset(X608))
| empty(X608) )
& ( ~ empty(esk39_1(X608))
| empty(X608) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_216])])])]) ).
fof(i_0_386,plain,
! [X769,X770] :
( ~ in(X769,X770)
| ~ empty(X770) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_387,plain,
! [X570] :
( empty(X570)
| ~ relation(X570)
| ~ empty(relation_rng(X570)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_217])]) ).
fof(i_0_388,plain,
! [X569] :
( empty(X569)
| ~ relation(X569)
| ~ empty(relation_dom(X569)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_218])]) ).
fof(i_0_389,plain,
! [X365,X366] : set_union2(X365,X366) = set_union2(X366,X365),
inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0]) ).
fof(i_0_390,plain,
! [X363,X364] : unordered_pair(X363,X364) = unordered_pair(X364,X363),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(i_0_391,plain,
! [X612] :
( element(esk42_1(X612),powerset(X612))
& empty(esk42_1(X612)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(i_0_392,plain,
! [X399,X400,X401] :
( ( X399 != empty_set
| ~ in(X400,X399) )
& ( in(esk8_1(X401),X401)
| X401 = empty_set ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_219])])])])]) ).
fof(i_0_393,plain,
! [X578] : ~ proper_subset(X578,X578),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[i_0_220])]) ).
cnf(i_0_394,lemma,
singleton(X1) != empty_set,
inference(split_conjunct,[status(thm)],[i_0_221]) ).
fof(i_0_395,lemma,
! [X710] :
( ~ subset(X710,empty_set)
| X710 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_xboole_1])]) ).
fof(i_0_396,lemma,
! [X689] :
( ( relation_rng(X689) = relation_dom(relation_inverse(X689))
| ~ relation(X689) )
& ( relation_dom(X689) = relation_rng(relation_inverse(X689))
| ~ relation(X689) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_relat_1])])]) ).
fof(i_0_397,plain,
! [X553] : element(esk36_1(X553),X553),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
cnf(i_0_398,plain,
element(cast_to_subset(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_222]) ).
fof(i_0_399,plain,
! [X575] :
( ~ relation(X575)
| relation_inverse(relation_inverse(X575)) = X575 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k4_relat_1])]) ).
fof(i_0_400,plain,
! [X541] :
( ~ relation(X541)
| relation(relation_inverse(X541)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_relat_1])]) ).
fof(i_0_401,plain,
! [X555] : ~ empty(powerset(X555)),
inference(variable_rename,[status(thm)],[i_0_223]) ).
fof(i_0_402,plain,
! [X775,X776] :
( ~ empty(X775)
| X775 = X776
| ~ empty(X776) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_403,plain,
! [X571] : set_union2(X571,X571) = X571,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k2_xboole_0])]) ).
fof(i_0_404,plain,
! [X622] : subset(X622,X622),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(i_0_405,lemma,
powerset(empty_set) = singleton(empty_set),
inference(split_conjunct,[status(thm)],[t1_zfmisc_1]) ).
fof(i_0_406,plain,
! [X701] : set_difference(X701,empty_set) = X701,
inference(variable_rename,[status(thm)],[t3_boole]) ).
fof(i_0_407,plain,
! [X653] : set_union2(X653,empty_set) = X653,
inference(variable_rename,[status(thm)],[t1_boole]) ).
fof(i_0_408,lemma,
! [X676] : subset(empty_set,X676),
inference(variable_rename,[status(thm)],[t2_xboole_1]) ).
fof(i_0_409,plain,
! [X736] : set_difference(empty_set,X736) = empty_set,
inference(variable_rename,[status(thm)],[t4_boole]) ).
fof(i_0_410,plain,
! [X362] :
( ~ empty(X362)
| relation(X362) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
fof(i_0_411,lemma,
! [X785] : union(powerset(X785)) = X785,
inference(variable_rename,[status(thm)],[t99_zfmisc_1]) ).
fof(i_0_412,negated_conjecture,
( relation_dom(empty_set) != empty_set
| relation_rng(empty_set) != empty_set ),
inference(fof_nnf,[status(thm)],[i_0_224]) ).
fof(i_0_413,plain,
! [X766] :
( ~ empty(X766)
| X766 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_414,plain,
~ empty(esk43_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_225])]) ).
fof(i_0_415,plain,
( ~ empty(esk41_0)
& relation(esk41_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_226])]) ).
fof(i_0_416,plain,
( empty(esk38_0)
& relation(esk38_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
fof(i_0_417,plain,
empty(esk40_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_418,plain,
( in(unordered_pair(unordered_pair(esk31_5(X1,X2,X3,X4,X5),X5),unordered_pair(esk31_5(X1,X2,X3,X4,X5),esk31_5(X1,X2,X3,X4,X5))),X2)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_227,c_0_228]),c_0_228]),
[final] ).
cnf(i_0_419,plain,
( in(unordered_pair(unordered_pair(X1,esk31_5(X2,X3,X4,X1,X5)),unordered_pair(X1,X1)),X2)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_229,c_0_228]),c_0_228]),
[final] ).
cnf(i_0_420,plain,
( X3 = relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X4,esk33_3(X1,X2,X3)),unordered_pair(X4,X4)),X2)
| ~ in(unordered_pair(unordered_pair(esk32_3(X1,X2,X3),X4),unordered_pair(esk32_3(X1,X2,X3),esk32_3(X1,X2,X3))),X1)
| ~ in(unordered_pair(unordered_pair(esk32_3(X1,X2,X3),esk33_3(X1,X2,X3)),unordered_pair(esk32_3(X1,X2,X3),esk32_3(X1,X2,X3))),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_230,c_0_228]),c_0_228]),c_0_228]),
[final] ).
cnf(i_0_421,plain,
( X1 = unordered_pair(unordered_pair(esk12_4(X2,X3,X4,X1),esk13_4(X2,X3,X4,X1)),unordered_pair(esk12_4(X2,X3,X4,X1),esk12_4(X2,X3,X4,X1)))
| X4 != cartesian_product2(X2,X3)
| ~ in(X1,X4) ),
inference(rw,[status(thm)],[i_0_231,c_0_228]),
[final] ).
cnf(i_0_422,plain,
( X3 = relation_composition(X1,X2)
| in(unordered_pair(unordered_pair(esk32_3(X1,X2,X3),esk33_3(X1,X2,X3)),unordered_pair(esk32_3(X1,X2,X3),esk32_3(X1,X2,X3))),X3)
| in(unordered_pair(unordered_pair(esk34_3(X1,X2,X3),esk33_3(X1,X2,X3)),unordered_pair(esk34_3(X1,X2,X3),esk34_3(X1,X2,X3))),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_232,c_0_228]),c_0_228]),
[final] ).
cnf(i_0_423,plain,
( X3 = relation_composition(X1,X2)
| in(unordered_pair(unordered_pair(esk32_3(X1,X2,X3),esk33_3(X1,X2,X3)),unordered_pair(esk32_3(X1,X2,X3),esk32_3(X1,X2,X3))),X3)
| in(unordered_pair(unordered_pair(esk32_3(X1,X2,X3),esk34_3(X1,X2,X3)),unordered_pair(esk32_3(X1,X2,X3),esk32_3(X1,X2,X3))),X1)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_233,c_0_228]),c_0_228]),
[final] ).
cnf(i_0_424,plain,
( X2 = relation_inverse(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk29_2(X1,X2),esk30_2(X1,X2)),unordered_pair(esk29_2(X1,X2),esk29_2(X1,X2))),X2)
| ~ in(unordered_pair(unordered_pair(esk30_2(X1,X2),esk29_2(X1,X2)),unordered_pair(esk30_2(X1,X2),esk30_2(X1,X2))),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_234,c_0_228]),c_0_228]),
[final] ).
cnf(i_0_425,plain,
( in(unordered_pair(unordered_pair(esk26_3(X3,X2,X1),X1),unordered_pair(esk26_3(X3,X2,X1),esk26_3(X3,X2,X1))),X3)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_235,c_0_228]),
[final] ).
cnf(i_0_426,plain,
( X2 = relation_inverse(X1)
| in(unordered_pair(unordered_pair(esk29_2(X1,X2),esk30_2(X1,X2)),unordered_pair(esk29_2(X1,X2),esk29_2(X1,X2))),X2)
| in(unordered_pair(unordered_pair(esk30_2(X1,X2),esk29_2(X1,X2)),unordered_pair(esk30_2(X1,X2),esk30_2(X1,X2))),X1)
| ~ relation(X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_236,c_0_228]),c_0_228]),
[final] ).
cnf(i_0_427,plain,
( X3 = cartesian_product2(X1,X2)
| esk14_3(X1,X2,X3) = unordered_pair(unordered_pair(esk15_3(X1,X2,X3),esk16_3(X1,X2,X3)),unordered_pair(esk15_3(X1,X2,X3),esk15_3(X1,X2,X3)))
| in(esk14_3(X1,X2,X3),X3) ),
inference(rw,[status(thm)],[i_0_237,c_0_228]),
[final] ).
cnf(i_0_428,plain,
( X2 = relation_dom(X1)
| ~ relation(X1)
| ~ in(esk20_2(X1,X2),X2)
| ~ in(unordered_pair(unordered_pair(esk20_2(X1,X2),X3),unordered_pair(esk20_2(X1,X2),esk20_2(X1,X2))),X1) ),
inference(rw,[status(thm)],[i_0_238,c_0_228]),
[final] ).
cnf(i_0_429,plain,
( X3 = complements_of_subsets(X1,X2)
| ~ in(esk35_3(X1,X2,X3),X3)
| ~ in(subset_complement(X1,esk35_3(X1,X2,X3)),X2)
| ~ element(X3,powerset(powerset(X1)))
| ~ element(X2,powerset(powerset(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_239]),
[final] ).
cnf(i_0_430,plain,
( in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),X6)
| X6 != relation_composition(X3,X5)
| ~ relation(X6)
| ~ relation(X5)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)),X5)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_240,c_0_228]),c_0_228]),c_0_228]),
[final] ).
cnf(i_0_431,plain,
( X3 = set_difference(X1,set_difference(X1,X2))
| ~ in(esk18_3(X1,X2,X3),X3)
| ~ in(esk18_3(X1,X2,X3),X2)
| ~ in(esk18_3(X1,X2,X3),X1) ),
inference(rw,[status(thm)],[i_0_241,c_0_242]),
[final] ).
cnf(i_0_432,plain,
( X2 = relation_rng(X1)
| in(esk27_2(X1,X2),X2)
| in(unordered_pair(unordered_pair(esk28_2(X1,X2),esk27_2(X1,X2)),unordered_pair(esk28_2(X1,X2),esk28_2(X1,X2))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[i_0_243,c_0_228]),
[final] ).
cnf(i_0_433,plain,
( X2 = relation_dom(X1)
| in(esk20_2(X1,X2),X2)
| in(unordered_pair(unordered_pair(esk20_2(X1,X2),esk21_2(X1,X2)),unordered_pair(esk20_2(X1,X2),esk20_2(X1,X2))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[i_0_244,c_0_228]),
[final] ).
cnf(i_0_434,plain,
( in(unordered_pair(unordered_pair(X1,esk19_3(X3,X2,X1)),unordered_pair(X1,X1)),X3)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_245,c_0_228]),
[final] ).
cnf(i_0_435,plain,
( in(esk13_4(X1,X2,X3,X4),X2)
| ~ in(X4,X3)
| X3 != cartesian_product2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_163]),
[final] ).
cnf(i_0_436,plain,
( in(esk12_4(X1,X2,X3,X4),X1)
| ~ in(X4,X3)
| X3 != cartesian_product2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_163]),
[final] ).
cnf(i_0_437,plain,
( in(esk25_3(X1,X2,X3),X2)
| X3 = set_difference(X1,X2)
| ~ in(esk25_3(X1,X2,X3),X3)
| ~ in(esk25_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[i_0_246]),
[final] ).
cnf(i_0_438,plain,
( in(esk35_3(X1,X2,X3),X3)
| in(subset_complement(X1,esk35_3(X1,X2,X3)),X2)
| X3 = complements_of_subsets(X1,X2)
| ~ element(X3,powerset(powerset(X1)))
| ~ element(X2,powerset(powerset(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_239]),
[final] ).
cnf(i_0_439,plain,
( X2 = relation_rng(X1)
| ~ relation(X1)
| ~ in(esk27_2(X1,X2),X2)
| ~ in(unordered_pair(unordered_pair(X3,esk27_2(X1,X2)),unordered_pair(X3,X3)),X1) ),
inference(rw,[status(thm)],[i_0_247,c_0_228]),
[final] ).
cnf(i_0_440,plain,
( X3 = cartesian_product2(X1,X2)
| esk14_3(X1,X2,X3) != unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))
| ~ in(X5,X2)
| ~ in(X4,X1)
| ~ in(esk14_3(X1,X2,X3),X3) ),
inference(rw,[status(thm)],[i_0_248,c_0_228]),
[final] ).
cnf(i_0_441,plain,
( X3 = set_union2(X1,X2)
| ~ in(esk11_3(X1,X2,X3),X1)
| ~ in(esk11_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[i_0_249]),
[final] ).
cnf(i_0_442,plain,
( X3 = set_union2(X1,X2)
| ~ in(esk11_3(X1,X2,X3),X2)
| ~ in(esk11_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[i_0_249]),
[final] ).
cnf(i_0_443,plain,
( in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X4)
| X3 != relation_inverse(X4)
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_250,c_0_228]),c_0_228]),
[final] ).
cnf(i_0_444,plain,
( in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X4)
| X4 != relation_inverse(X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_251,c_0_228]),c_0_228]),
[final] ).
cnf(i_0_445,plain,
( in(esk11_3(X1,X2,X3),X3)
| in(esk11_3(X1,X2,X3),X1)
| in(esk11_3(X1,X2,X3),X2)
| X3 = set_union2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_249]),
[final] ).
cnf(i_0_446,plain,
( in(esk25_3(X1,X2,X3),X3)
| X3 = set_difference(X1,X2)
| ~ in(esk25_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_246]),
[final] ).
cnf(i_0_447,plain,
( X2 = unordered_pair(unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2)))
| ~ relation(X1)
| ~ in(X2,X1) ),
inference(rw,[status(thm)],[i_0_252,c_0_228]),
[final] ).
cnf(i_0_448,plain,
( X3 = unordered_pair(X1,X2)
| esk10_3(X1,X2,X3) != X1
| ~ in(esk10_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[i_0_253]),
[final] ).
cnf(i_0_449,plain,
( X3 = unordered_pair(X1,X2)
| esk10_3(X1,X2,X3) != X2
| ~ in(esk10_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[i_0_253]),
[final] ).
cnf(i_0_450,plain,
( X3 = set_difference(X1,set_difference(X1,X2))
| in(esk18_3(X1,X2,X3),X3)
| in(esk18_3(X1,X2,X3),X1) ),
inference(rw,[status(thm)],[i_0_254,c_0_242]),
[final] ).
cnf(i_0_451,plain,
( X3 = set_difference(X1,set_difference(X1,X2))
| in(esk18_3(X1,X2,X3),X3)
| in(esk18_3(X1,X2,X3),X2) ),
inference(rw,[status(thm)],[i_0_255,c_0_242]),
[final] ).
cnf(i_0_452,lemma,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)) ),
inference(rw,[status(thm)],[i_0_256,c_0_228]),
[final] ).
cnf(i_0_453,lemma,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)) ),
inference(rw,[status(thm)],[i_0_257,c_0_228]),
[final] ).
cnf(i_0_454,lemma,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)) ),
inference(rw,[status(thm)],[i_0_258,c_0_228]),
[final] ).
cnf(i_0_455,lemma,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)) ),
inference(rw,[status(thm)],[i_0_259,c_0_228]),
[final] ).
cnf(i_0_456,plain,
( in(esk25_3(X1,X2,X3),X1)
| in(esk25_3(X1,X2,X3),X3)
| X3 = set_difference(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_246]),
[final] ).
cnf(i_0_457,plain,
( in(esk16_3(X1,X2,X3),X2)
| in(esk14_3(X1,X2,X3),X3)
| X3 = cartesian_product2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_163]),
[final] ).
cnf(i_0_458,plain,
( in(esk15_3(X1,X2,X3),X1)
| in(esk14_3(X1,X2,X3),X3)
| X3 = cartesian_product2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_163]),
[final] ).
cnf(i_0_459,plain,
( in(X1,X4)
| X4 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3) ),
inference(rw,[status(thm)],[i_0_260,c_0_228]),
[final] ).
cnf(i_0_460,plain,
( in(X2,X4)
| X4 != relation_rng(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3) ),
inference(rw,[status(thm)],[i_0_261,c_0_228]),
[final] ).
cnf(i_0_461,lemma,
( in(X1,relation_field(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2) ),
inference(rw,[status(thm)],[i_0_262,c_0_228]),
[final] ).
cnf(i_0_462,lemma,
( in(X1,relation_field(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
inference(rw,[status(thm)],[i_0_263,c_0_228]),
[final] ).
cnf(i_0_463,lemma,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
inference(rw,[status(thm)],[i_0_264,c_0_228]),
[final] ).
cnf(i_0_464,lemma,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2) ),
inference(rw,[status(thm)],[i_0_265,c_0_228]),
[final] ).
cnf(i_0_465,lemma,
( X1 = empty_set
| in(unordered_pair(unordered_pair(esk48_1(X1),esk49_1(X1)),unordered_pair(esk48_1(X1),esk48_1(X1))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[i_0_266,c_0_228]),
[final] ).
cnf(i_0_466,plain,
( in(esk10_3(X1,X2,X3),X3)
| esk10_3(X1,X2,X3) = X1
| esk10_3(X1,X2,X3) = X2
| X3 = unordered_pair(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_253]),
[final] ).
cnf(i_0_467,plain,
( element(esk35_3(X1,X2,X3),powerset(X1))
| X3 = complements_of_subsets(X1,X2)
| ~ element(X3,powerset(powerset(X1)))
| ~ element(X2,powerset(powerset(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_239]),
[final] ).
cnf(i_0_468,plain,
( in(X2,X4)
| ~ in(subset_complement(X1,X2),X3)
| ~ element(X2,powerset(X1))
| X4 != complements_of_subsets(X1,X3)
| ~ element(X4,powerset(powerset(X1)))
| ~ element(X3,powerset(powerset(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_239]),
[final] ).
cnf(i_0_469,plain,
( in(subset_complement(X3,X1),X4)
| ~ in(X1,X2)
| ~ element(X1,powerset(X3))
| X2 != complements_of_subsets(X3,X4)
| ~ element(X2,powerset(powerset(X3)))
| ~ element(X4,powerset(powerset(X3))) ),
inference(split_conjunct,[status(thm)],[i_0_239]),
[final] ).
cnf(i_0_470,lemma,
( in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4))
| ~ in(X3,X4)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_267,c_0_228]),
[final] ).
cnf(i_0_471,lemma,
( in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4))
| ~ in(X3,X4)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_268,c_0_228]),
[final] ).
cnf(i_0_472,plain,
( in(X1,X3)
| X2 = empty_set
| ~ in(X1,esk4_3(X2,X3,X1))
| X3 != set_meet(X2) ),
inference(split_conjunct,[status(thm)],[i_0_269]),
[final] ).
cnf(i_0_473,plain,
~ empty(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))),
inference(rw,[status(thm)],[i_0_270,c_0_228]),
[final] ).
cnf(i_0_474,lemma,
( X1 = X2
| unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)) != unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_271,c_0_228]),c_0_228]),
[final] ).
cnf(i_0_475,lemma,
( X1 = X2
| unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)) != unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_272,c_0_228]),c_0_228]),
[final] ).
cnf(i_0_476,lemma,
( subset(set_difference(X1,set_difference(X1,X3)),set_difference(X2,set_difference(X2,X3)))
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_273,c_0_242]),c_0_242]),
[final] ).
cnf(i_0_477,plain,
( element(subset_difference(X2,X1,X3),powerset(X2))
| ~ element(X1,powerset(X2))
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_274]),
[final] ).
cnf(i_0_478,plain,
( in(X5,X6)
| X6 != cartesian_product2(X2,X4)
| X5 != unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))
| ~ in(X3,X4)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_275,c_0_228]),
[final] ).
cnf(i_0_479,plain,
( X2 = set_meet(X1)
| X1 = empty_set
| ~ in(esk5_2(X1,X2),esk6_2(X1,X2))
| ~ in(esk5_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_269]),
[final] ).
cnf(i_0_480,lemma,
( X1 = empty_set
| subset_difference(X2,X2,union_of_subsets(X2,X1)) = meet_of_subsets(X2,complements_of_subsets(X2,X1))
| ~ element(X1,powerset(powerset(X2))) ),
inference(rw,[status(thm)],[i_0_276,c_0_277]),
[final] ).
cnf(i_0_481,lemma,
( X1 = empty_set
| union_of_subsets(X2,complements_of_subsets(X2,X1)) = subset_difference(X2,X2,meet_of_subsets(X2,X1))
| ~ element(X1,powerset(powerset(X2))) ),
inference(rw,[status(thm)],[i_0_278,c_0_277]),
[final] ).
cnf(i_0_482,lemma,
( ~ disjoint(X2,X3)
| ~ in(X1,set_difference(X2,set_difference(X2,X3))) ),
inference(rw,[status(thm)],[i_0_279,c_0_242]),
[final] ).
cnf(i_0_483,plain,
( X2 = union(X1)
| ~ in(esk23_2(X1,X2),X2)
| ~ in(esk23_2(X1,X2),X3)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_484,plain,
( in(esk22_3(X1,X2,X3),X1)
| ~ in(X3,X2)
| X2 != union(X1) ),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_485,plain,
( in(X1,esk22_3(X2,X3,X1))
| ~ in(X1,X3)
| X3 != union(X2) ),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_486,plain,
( in(esk4_3(X1,X2,X3),X1)
| in(X3,X2)
| X1 = empty_set
| X2 != set_meet(X1) ),
inference(split_conjunct,[status(thm)],[i_0_269]),
[final] ).
cnf(i_0_487,lemma,
( disjoint(X1,X3)
| ~ subset(X1,subset_complement(X2,X3))
| ~ element(X3,powerset(X2))
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_281]),
[final] ).
cnf(i_0_488,lemma,
( subset(X1,set_difference(X2,set_difference(X2,X3)))
| ~ subset(X1,X3)
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[i_0_282,c_0_242]),
[final] ).
cnf(i_0_489,plain,
( subset_difference(X2,X1,X3) = set_difference(X1,X3)
| ~ element(X1,powerset(X2))
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_283]),
[final] ).
cnf(i_0_490,lemma,
( disjoint(X1,X2)
| in(esk47_2(X1,X2),set_difference(X1,set_difference(X1,X2))) ),
inference(rw,[status(thm)],[i_0_284,c_0_242]),
[final] ).
cnf(i_0_491,plain,
( X2 = powerset(X1)
| ~ in(esk9_2(X1,X2),X2)
| ~ subset(esk9_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[i_0_285]),
[final] ).
cnf(i_0_492,lemma,
( in(X3,X1)
| subset(X1,set_difference(X2,unordered_pair(X3,X3)))
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[i_0_286,c_0_162]),
[final] ).
cnf(i_0_493,plain,
( X1 = X2
| ~ in(esk45_2(X1,X2),X1)
| ~ in(esk45_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_494,lemma,
( subset(X1,subset_complement(X3,X2))
| ~ disjoint(X1,X2)
| ~ element(X2,powerset(X3))
| ~ element(X1,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_281]),
[final] ).
cnf(i_0_495,plain,
( in(X1,X4)
| X4 != set_difference(X2,set_difference(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_288,c_0_242]),
[final] ).
cnf(i_0_496,lemma,
( ~ element(X1,powerset(X2))
| ~ in(X3,subset_complement(X2,X1))
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_289]),
[final] ).
cnf(i_0_497,plain,
( relation(X1)
| esk3_1(X1) != unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)) ),
inference(rw,[status(thm)],[i_0_290,c_0_228]),
[final] ).
cnf(i_0_498,plain,
( in(esk23_2(X1,X2),esk24_2(X1,X2))
| in(esk23_2(X1,X2),X2)
| X2 = union(X1) ),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_499,lemma,
( subset(cartesian_product2(X1,X3),cartesian_product2(X2,X4))
| ~ subset(X1,X2)
| ~ subset(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_291]),
[final] ).
cnf(i_0_500,lemma,
( X1 = empty_set
| in(X3,X2)
| in(X3,subset_complement(X1,X2))
| ~ element(X2,powerset(X1))
| ~ element(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_292]),
[final] ).
cnf(i_0_501,plain,
( in(esk6_2(X1,X2),X1)
| X2 = set_meet(X1)
| X1 = empty_set
| ~ in(esk5_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_269]),
[final] ).
cnf(i_0_502,plain,
( in(esk5_2(X1,X2),X2)
| in(esk5_2(X1,X2),X3)
| X2 = set_meet(X1)
| X1 = empty_set
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_269]),
[final] ).
cnf(i_0_503,plain,
( element(complements_of_subsets(X2,X1),powerset(powerset(X2)))
| ~ element(X1,powerset(powerset(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_293]),
[final] ).
cnf(i_0_504,lemma,
( X1 = X2
| ~ subset(unordered_pair(X1,X1),unordered_pair(X2,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_294,c_0_162]),c_0_162]),
[final] ).
cnf(i_0_505,plain,
( X2 = unordered_pair(X1,X1)
| esk7_2(X1,X2) != X1
| ~ in(esk7_2(X1,X2),X2) ),
inference(rw,[status(thm)],[i_0_295,c_0_162]),
[final] ).
cnf(i_0_506,plain,
( in(X1,X2)
| X3 != set_difference(X2,set_difference(X2,X4))
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[i_0_296,c_0_242]),
[final] ).
cnf(i_0_507,plain,
( in(X1,X2)
| X3 != set_difference(X4,set_difference(X4,X2))
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[i_0_297,c_0_242]),
[final] ).
cnf(i_0_508,plain,
( element(meet_of_subsets(X2,X1),powerset(X2))
| ~ element(X1,powerset(powerset(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_298]),
[final] ).
cnf(i_0_509,plain,
( element(union_of_subsets(X2,X1),powerset(X2))
| ~ element(X1,powerset(powerset(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_299]),
[final] ).
cnf(i_0_510,plain,
( in(X1,esk51_2(X3,X2))
| ~ subset(X1,X2)
| ~ in(X2,esk50_1(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_300]),
[final] ).
cnf(i_0_511,lemma,
( subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2))
| ~ relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_301]),
[final] ).
cnf(i_0_512,lemma,
( subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1))
| ~ relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_302]),
[final] ).
cnf(i_0_513,plain,
( complements_of_subsets(X2,complements_of_subsets(X2,X1)) = X1
| ~ element(X1,powerset(powerset(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_303]),
[final] ).
cnf(i_0_514,lemma,
subset(set_difference(X1,set_difference(X1,X2)),X1),
inference(rw,[status(thm)],[i_0_304,c_0_242]),
[final] ).
cnf(i_0_515,lemma,
( relation_rng(relation_composition(X2,X1)) = relation_rng(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ subset(relation_dom(X1),relation_rng(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_305]),
[final] ).
cnf(i_0_516,lemma,
( relation_dom(relation_composition(X1,X2)) = relation_dom(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ subset(relation_rng(X1),relation_dom(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_306]),
[final] ).
cnf(i_0_517,lemma,
( subset(set_difference(X1,X3),set_difference(X2,X3))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_307]),
[final] ).
cnf(i_0_518,lemma,
( subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))
| ~ subset(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_308]),
[final] ).
cnf(i_0_519,lemma,
( subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))
| ~ subset(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_308]),
[final] ).
cnf(i_0_520,lemma,
( set_difference(X1,unordered_pair(X2,X2)) != X1
| ~ in(X2,X1) ),
inference(rw,[status(thm)],[i_0_309,c_0_162]),
[final] ).
cnf(i_0_521,lemma,
( ~ in(X1,X2)
| ~ disjoint(unordered_pair(X1,X1),X2) ),
inference(rw,[status(thm)],[i_0_310,c_0_162]),
[final] ).
cnf(i_0_522,plain,
( in(esk24_2(X1,X2),X1)
| in(esk23_2(X1,X2),X2)
| X2 = union(X1) ),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_523,plain,
( in(esk9_2(X1,X2),X2)
| subset(esk9_2(X1,X2),X1)
| X2 = powerset(X1) ),
inference(split_conjunct,[status(thm)],[i_0_285]),
[final] ).
cnf(i_0_524,lemma,
( subset(set_union2(X1,X3),X2)
| ~ subset(X1,X2)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_311]),
[final] ).
cnf(i_0_525,lemma,
( subset(unordered_pair(X1,X3),X2)
| ~ in(X1,X2)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_312]),
[final] ).
cnf(i_0_526,lemma,
( element(X1,powerset(X2))
| ~ in(esk37_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_313]),
[final] ).
cnf(i_0_527,plain,
( in(esk45_2(X1,X2),X1)
| in(esk45_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[i_0_287]),
[final] ).
cnf(i_0_528,lemma,
( X1 = empty_set
| X1 = unordered_pair(X2,X2)
| ~ subset(X1,unordered_pair(X2,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_314,c_0_162]),c_0_162]),
[final] ).
cnf(i_0_529,lemma,
( X1 = empty_set
| X1 = unordered_pair(X2,X2)
| ~ subset(X1,unordered_pair(X2,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_315,c_0_162]),c_0_162]),
[final] ).
cnf(i_0_530,plain,
set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_316,c_0_242]),c_0_242]),
[final] ).
cnf(i_0_531,plain,
( element(subset_complement(X2,X1),powerset(X2))
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_317]),
[final] ).
cnf(i_0_532,plain,
( in(esk51_2(X1,X2),esk50_1(X1))
| ~ in(X2,esk50_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_300]),
[final] ).
cnf(i_0_533,plain,
( subset(X1,X2)
| ~ in(esk17_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_318]),
[final] ).
cnf(i_0_534,lemma,
( in(X1,X2)
| ~ subset(unordered_pair(X1,X1),X2) ),
inference(rw,[status(thm)],[i_0_319,c_0_162]),
[final] ).
cnf(i_0_535,lemma,
( in(X1,X2)
| ~ subset(unordered_pair(X1,X1),X2) ),
inference(rw,[status(thm)],[i_0_320,c_0_162]),
[final] ).
cnf(i_0_536,lemma,
( in(X1,X2)
| ~ subset(unordered_pair(X1,X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_312]),
[final] ).
cnf(i_0_537,lemma,
( in(X1,X2)
| ~ subset(unordered_pair(X3,X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_312]),
[final] ).
cnf(i_0_538,plain,
( disjoint(X1,X2)
| set_difference(X1,set_difference(X1,X2)) != empty_set ),
inference(rw,[status(thm)],[i_0_321,c_0_242]),
[final] ).
cnf(i_0_539,lemma,
( X1 = empty_set
| ~ element(X1,powerset(powerset(X2)))
| complements_of_subsets(X2,X1) != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_322]),
[final] ).
cnf(i_0_540,plain,
( in(X1,X3)
| in(X1,X4)
| ~ in(X1,X2)
| X2 != set_union2(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_249]),
[final] ).
cnf(i_0_541,plain,
( in(X1,X3)
| in(X1,X4)
| ~ in(X1,X2)
| X4 != set_difference(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_246]),
[final] ).
cnf(i_0_542,plain,
( in(X3,esk50_1(X2))
| ~ in(X1,esk50_1(X2))
| ~ subset(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_300]),
[final] ).
cnf(i_0_543,lemma,
( in(X3,esk44_1(X2))
| ~ in(X1,esk44_1(X2))
| ~ subset(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_323]),
[final] ).
cnf(i_0_544,plain,
( are_equipotent(X1,esk50_1(X2))
| in(X1,esk50_1(X2))
| ~ subset(X1,esk50_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_300]),
[final] ).
cnf(i_0_545,lemma,
( are_equipotent(X1,esk44_1(X2))
| in(X1,esk44_1(X2))
| ~ subset(X1,esk44_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_323]),
[final] ).
cnf(i_0_546,plain,
( subset_complement(X2,subset_complement(X2,X1)) = X1
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_324]),
[final] ).
cnf(i_0_547,lemma,
( subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_325]),
[final] ).
cnf(i_0_548,plain,
( X2 = unordered_pair(X1,X1)
| esk7_2(X1,X2) = X1
| in(esk7_2(X1,X2),X2) ),
inference(rw,[status(thm)],[i_0_326,c_0_162]),
[final] ).
cnf(i_0_549,plain,
( in(X1,X3)
| X4 = empty_set
| ~ in(X1,X2)
| ~ in(X3,X4)
| X2 != set_meet(X4) ),
inference(split_conjunct,[status(thm)],[i_0_269]),
[final] ).
cnf(i_0_550,plain,
( meet_of_subsets(X2,X1) = set_meet(X1)
| ~ element(X1,powerset(powerset(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_327]),
[final] ).
cnf(i_0_551,plain,
( union_of_subsets(X2,X1) = union(X1)
| ~ element(X1,powerset(powerset(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_328]),
[final] ).
cnf(i_0_552,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_329]),
[final] ).
cnf(i_0_553,lemma,
( in(X3,X2)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_330]),
[final] ).
cnf(i_0_554,plain,
( ~ in(X1,X2)
| ~ in(X1,X3)
| X3 != set_difference(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_246]),
[final] ).
cnf(i_0_555,plain,
( in(X1,X4)
| ~ in(X1,X2)
| ~ in(X2,X3)
| X4 != union(X3) ),
inference(split_conjunct,[status(thm)],[i_0_280]),
[final] ).
cnf(i_0_556,lemma,
( ~ in(X1,X2)
| ~ in(X1,X3)
| ~ disjoint(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_331]),
[final] ).
cnf(i_0_557,lemma,
( subset(X1,unordered_pair(X2,X2))
| X1 != unordered_pair(X2,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_332,c_0_162]),c_0_162]),
[final] ).
cnf(i_0_558,lemma,
( subset(X1,unordered_pair(X2,X2))
| X1 != unordered_pair(X2,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_333,c_0_162]),c_0_162]),
[final] ).
cnf(i_0_559,lemma,
( set_union2(unordered_pair(X1,X1),X2) = X2
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_334,c_0_162]),
[final] ).
cnf(i_0_560,lemma,
( set_union2(unordered_pair(X1,X1),X2) = X2
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_335,c_0_162]),
[final] ).
cnf(i_0_561,lemma,
( set_difference(X1,set_difference(X1,X2)) = X1
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[i_0_336,c_0_242]),
[final] ).
cnf(i_0_562,lemma,
( X2 = set_union2(X1,set_difference(X2,X1))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_337]),
[final] ).
cnf(i_0_563,lemma,
( subset(relation_rng(X1),relation_rng(X2))
| ~ subset(X1,X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_338]),
[final] ).
cnf(i_0_564,lemma,
( subset(relation_dom(X1),relation_dom(X2))
| ~ subset(X1,X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_338]),
[final] ).
cnf(i_0_565,lemma,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_339,c_0_162]),
[final] ).
cnf(i_0_566,lemma,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_340,c_0_162]),
[final] ).
cnf(i_0_567,plain,
( set_difference(X1,set_difference(X1,X2)) = empty_set
| ~ disjoint(X1,X2) ),
inference(rw,[status(thm)],[i_0_341,c_0_242]),
[final] ).
cnf(i_0_568,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[i_0_342]),
[final] ).
cnf(i_0_569,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_difference(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_246]),
[final] ).
cnf(i_0_570,plain,
( in(X1,X3)
| ~ in(X1,X2)
| X3 != set_union2(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_249]),
[final] ).
cnf(i_0_571,plain,
( in(X1,X3)
| ~ in(X1,X2)
| X3 != set_union2(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_249]),
[final] ).
cnf(i_0_572,lemma,
( in(esk37_2(X1,X2),X1)
| element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_313]),
[final] ).
cnf(i_0_573,plain,
( subset_complement(X2,X1) = set_difference(X2,X1)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_343]),
[final] ).
cnf(i_0_574,lemma,
( disjoint(X1,X3)
| ~ subset(X1,X2)
| ~ disjoint(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_344]),
[final] ).
cnf(i_0_575,lemma,
( subset(X1,X3)
| ~ subset(X1,X2)
| ~ subset(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_345]),
[final] ).
cnf(i_0_576,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_318]),
[final] ).
cnf(i_0_577,lemma,
( in(powerset(X1),esk44_1(X2))
| ~ in(X1,esk44_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_323]),
[final] ).
cnf(i_0_578,plain,
( empty(X1)
| empty(X2)
| ~ empty(cartesian_product2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_346]),
[final] ).
cnf(i_0_579,lemma,
( set_difference(X2,unordered_pair(X1,X1)) = X2
| in(X1,X2) ),
inference(rw,[status(thm)],[i_0_347,c_0_162]),
[final] ).
cnf(i_0_580,lemma,
( in(esk46_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_331]),
[final] ).
cnf(i_0_581,lemma,
( in(esk46_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_331]),
[final] ).
cnf(i_0_582,plain,
( in(esk17_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_318]),
[final] ).
cnf(i_0_583,lemma,
( in(X1,X2)
| disjoint(unordered_pair(X1,X1),X2) ),
inference(rw,[status(thm)],[i_0_348,c_0_162]),
[final] ).
cnf(i_0_584,lemma,
set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_349]),
[final] ).
cnf(i_0_585,lemma,
set_union2(X1,set_difference(X2,X1)) = set_union2(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_350]),
[final] ).
cnf(i_0_586,plain,
( empty(X1)
| ~ empty(set_union2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_351]),
[final] ).
cnf(i_0_587,plain,
( empty(X1)
| ~ empty(set_union2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_352]),
[final] ).
cnf(i_0_588,plain,
( X1 = X3
| X1 = X4
| ~ in(X1,X2)
| X2 != unordered_pair(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_253]),
[final] ).
cnf(i_0_589,plain,
( X1 = X3
| X2 != unordered_pair(X3,X3)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_353,c_0_162]),
[final] ).
cnf(i_0_590,lemma,
( X1 = X3
| X1 = X4
| unordered_pair(X1,X2) != unordered_pair(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_354]),
[final] ).
cnf(i_0_591,plain,
~ empty(unordered_pair(X1,X1)),
inference(rw,[status(thm)],[i_0_355,c_0_162]),
[final] ).
cnf(i_0_592,plain,
~ empty(unordered_pair(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_356]),
[final] ).
cnf(i_0_593,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_357]),
[final] ).
cnf(i_0_594,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_358]),
[final] ).
cnf(i_0_595,lemma,
( X1 = X2
| unordered_pair(X1,X1) != unordered_pair(X2,X3) ),
inference(rw,[status(thm)],[i_0_359,c_0_162]),
[final] ).
cnf(i_0_596,lemma,
( X2 = X3
| unordered_pair(X1,X1) != unordered_pair(X2,X3) ),
inference(rw,[status(thm)],[i_0_360,c_0_162]),
[final] ).
cnf(i_0_597,plain,
( subset(X1,X3)
| ~ in(X1,X2)
| X2 != powerset(X3) ),
inference(split_conjunct,[status(thm)],[i_0_285]),
[final] ).
cnf(i_0_598,plain,
( in(X1,X3)
| ~ subset(X1,X2)
| X3 != powerset(X2) ),
inference(split_conjunct,[status(thm)],[i_0_285]),
[final] ).
cnf(i_0_599,lemma,
( ~ subset(X1,X2)
| ~ proper_subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_361]),
[final] ).
cnf(i_0_600,plain,
( ~ proper_subset(X1,X2)
| ~ proper_subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_362]),
[final] ).
cnf(i_0_601,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_363]),
[final] ).
cnf(i_0_602,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_364]),
[final] ).
cnf(i_0_603,plain,
( relation(set_union2(X1,X2))
| ~ relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_365]),
[final] ).
cnf(i_0_604,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_358]),
[final] ).
cnf(i_0_605,lemma,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_366]),
[final] ).
cnf(i_0_606,lemma,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_367]),
[final] ).
cnf(i_0_607,lemma,
( subset(X1,unordered_pair(X2,X2))
| X1 != empty_set ),
inference(rw,[status(thm)],[i_0_368,c_0_162]),
[final] ).
cnf(i_0_608,lemma,
( subset(X1,unordered_pair(X2,X2))
| X1 != empty_set ),
inference(rw,[status(thm)],[i_0_369,c_0_162]),
[final] ).
cnf(i_0_609,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X2,X2) ),
inference(rw,[status(thm)],[i_0_370,c_0_162]),
[final] ).
cnf(i_0_610,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_253]),
[final] ).
cnf(i_0_611,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_253]),
[final] ).
cnf(i_0_612,plain,
( element(X1,X2)
| empty(X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_371]),
[final] ).
cnf(i_0_613,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_372]),
[final] ).
cnf(i_0_614,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_371]),
[final] ).
cnf(i_0_615,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rw,[status(thm)],[i_0_373,c_0_242]),
[final] ).
cnf(i_0_616,lemma,
subset(set_difference(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_374]),
[final] ).
cnf(i_0_617,lemma,
subset(X1,set_union2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_375]),
[final] ).
cnf(i_0_618,plain,
( X1 = X2
| proper_subset(X1,X2)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_376]),
[final] ).
cnf(i_0_619,lemma,
( disjoint(X1,X2)
| set_difference(X1,X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_377]),
[final] ).
cnf(i_0_620,lemma,
( set_difference(X1,X2) = X1
| ~ disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_377]),
[final] ).
cnf(i_0_621,lemma,
( set_union2(X1,X2) = X2
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_378]),
[final] ).
cnf(i_0_622,plain,
( relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_379]),
[final] ).
cnf(i_0_623,plain,
set_difference(X1,set_difference(X1,empty_set)) = empty_set,
inference(rw,[status(thm)],[i_0_380,c_0_242]),
[final] ).
cnf(i_0_624,plain,
( disjoint(X2,X1)
| ~ disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_381]),
[final] ).
cnf(i_0_625,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_382]),
[final] ).
cnf(i_0_626,plain,
( subset(X1,X2)
| ~ proper_subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_376]),
[final] ).
cnf(i_0_627,lemma,
( subset(X1,X2)
| set_difference(X1,X2) != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_383]),
[final] ).
cnf(i_0_628,lemma,
( subset(X1,X2)
| set_difference(X1,X2) != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_384]),
[final] ).
cnf(i_0_629,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_383]),
[final] ).
cnf(i_0_630,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_384]),
[final] ).
cnf(i_0_631,plain,
( empty(X1)
| ~ element(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_371]),
[final] ).
cnf(i_0_632,plain,
( element(esk39_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_385]),
[final] ).
cnf(i_0_633,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_386]),
[final] ).
cnf(i_0_634,plain,
( element(X1,X2)
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_371]),
[final] ).
cnf(i_0_635,plain,
( empty(X1)
| ~ relation(X1)
| ~ empty(relation_rng(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_387]),
[final] ).
cnf(i_0_636,plain,
( empty(X1)
| ~ relation(X1)
| ~ empty(relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_388]),
[final] ).
cnf(i_0_637,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_389]),
[final] ).
cnf(i_0_638,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_390]),
[final] ).
cnf(i_0_639,plain,
element(esk42_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_391]),
[final] ).
cnf(i_0_640,plain,
( X1 != X2
| ~ proper_subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_376]),
[final] ).
cnf(i_0_641,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_392]),
[final] ).
cnf(i_0_642,plain,
( in(esk3_1(X1),X1)
| relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_643,plain,
~ proper_subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_393]),
[final] ).
cnf(i_0_644,lemma,
unordered_pair(X1,X1) != empty_set,
inference(rw,[status(thm)],[i_0_394,c_0_162]),
[final] ).
cnf(i_0_645,plain,
( in(esk8_1(X1),X1)
| X1 = empty_set ),
inference(split_conjunct,[status(thm)],[i_0_392]),
[final] ).
cnf(i_0_646,lemma,
( X1 = empty_set
| ~ subset(X1,empty_set) ),
inference(split_conjunct,[status(thm)],[i_0_395]),
[final] ).
cnf(i_0_647,lemma,
( relation_rng(X1) = relation_dom(relation_inverse(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_396]),
[final] ).
cnf(i_0_648,lemma,
( relation_dom(X1) = relation_rng(relation_inverse(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_396]),
[final] ).
cnf(i_0_649,plain,
( empty(X1)
| ~ empty(esk39_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_385]),
[final] ).
cnf(i_0_650,plain,
element(esk36_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_397]),
[final] ).
cnf(i_0_651,plain,
element(X1,powerset(X1)),
inference(rw,[status(thm)],[i_0_398,c_0_277]),
[final] ).
cnf(i_0_652,plain,
in(X1,esk50_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_300]),
[final] ).
cnf(i_0_653,lemma,
in(X1,esk44_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_323]),
[final] ).
cnf(i_0_654,plain,
( relation_inverse(relation_inverse(X1)) = X1
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_399]),
[final] ).
cnf(i_0_655,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_357]),
[final] ).
cnf(i_0_656,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_357]),
[final] ).
cnf(i_0_657,plain,
( relation(relation_inverse(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_400]),
[final] ).
cnf(i_0_658,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_401]),
[final] ).
cnf(i_0_659,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_402]),
[final] ).
cnf(i_0_660,plain,
set_union2(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_403]),
[final] ).
cnf(i_0_661,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_404]),
[final] ).
cnf(i_0_662,lemma,
powerset(empty_set) = unordered_pair(empty_set,empty_set),
inference(rw,[status(thm)],[i_0_405,c_0_162]),
[final] ).
cnf(i_0_663,plain,
set_difference(X1,empty_set) = X1,
inference(split_conjunct,[status(thm)],[i_0_406]),
[final] ).
cnf(i_0_664,plain,
set_union2(X1,empty_set) = X1,
inference(split_conjunct,[status(thm)],[i_0_407]),
[final] ).
cnf(i_0_665,lemma,
subset(empty_set,X1),
inference(split_conjunct,[status(thm)],[i_0_408]),
[final] ).
cnf(i_0_666,plain,
set_difference(empty_set,X1) = empty_set,
inference(split_conjunct,[status(thm)],[i_0_409]),
[final] ).
cnf(i_0_667,plain,
( X1 = empty_set
| X1 != set_meet(X2)
| X2 != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_269]),
[final] ).
cnf(i_0_668,plain,
( relation(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_410]),
[final] ).
cnf(i_0_669,lemma,
union(powerset(X1)) = X1,
inference(split_conjunct,[status(thm)],[i_0_411]),
[final] ).
cnf(i_0_670,plain,
empty(esk42_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_391]),
[final] ).
cnf(i_0_671,plain,
( X1 = set_meet(X2)
| X1 != empty_set
| X2 != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_269]),
[final] ).
cnf(i_0_672,negated_conjecture,
( relation_dom(empty_set) != empty_set
| relation_rng(empty_set) != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_412]),
[final] ).
cnf(i_0_673,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_413]),
[final] ).
cnf(i_0_674,plain,
~ empty(esk43_0),
inference(split_conjunct,[status(thm)],[i_0_414]),
[final] ).
cnf(i_0_675,plain,
~ empty(esk41_0),
inference(split_conjunct,[status(thm)],[i_0_415]),
[final] ).
cnf(i_0_676,plain,
relation(esk41_0),
inference(split_conjunct,[status(thm)],[i_0_415]),
[final] ).
cnf(i_0_677,plain,
relation(esk38_0),
inference(split_conjunct,[status(thm)],[i_0_416]),
[final] ).
cnf(i_0_678,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_679,plain,
empty(esk40_0),
inference(split_conjunct,[status(thm)],[i_0_417]),
[final] ).
cnf(i_0_680,plain,
empty(esk38_0),
inference(split_conjunct,[status(thm)],[i_0_416]),
[final] ).
cnf(i_0_681,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_682,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_683,axiom,
X1 = X1 ).
cnf(i_0_684,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_685,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_686,axiom,
( X1 != X2
| unordered_pair(X1,X3) = unordered_pair(X2,X3) ) ).
cnf(i_0_687,axiom,
( X1 != X2
| unordered_pair(X3,X1) = unordered_pair(X3,X2) ) ).
cnf(i_0_688,axiom,
( X1 != X2
| relation_inverse(X1) = relation_inverse(X2) ) ).
cnf(i_0_689,axiom,
( X1 != X2
| relation_rng(X1) = relation_rng(X2) ) ).
cnf(i_0_690,axiom,
( X1 != X2
| esk14_3(X1,X3,X4) = esk14_3(X2,X3,X4) ) ).
cnf(i_0_691,axiom,
( X1 != X2
| esk14_3(X3,X1,X4) = esk14_3(X3,X2,X4) ) ).
cnf(i_0_692,axiom,
( X1 != X2
| esk14_3(X3,X4,X1) = esk14_3(X3,X4,X2) ) ).
cnf(i_0_693,axiom,
( X1 != X2
| relation_dom(X1) = relation_dom(X2) ) ).
cnf(i_0_694,axiom,
( X1 != X2
| complements_of_subsets(X1,X3) = complements_of_subsets(X2,X3) ) ).
cnf(i_0_695,axiom,
( X1 != X2
| complements_of_subsets(X3,X1) = complements_of_subsets(X3,X2) ) ).
cnf(i_0_696,axiom,
( X1 != X2
| subset_complement(X1,X3) = subset_complement(X2,X3) ) ).
cnf(i_0_697,axiom,
( X1 != X2
| subset_complement(X3,X1) = subset_complement(X3,X2) ) ).
cnf(i_0_698,axiom,
( X1 != X2
| powerset(X1) = powerset(X2) ) ).
cnf(i_0_699,axiom,
( X1 != X2
| set_difference(X1,X3) = set_difference(X2,X3) ) ).
cnf(i_0_700,axiom,
( X1 != X2
| set_difference(X3,X1) = set_difference(X3,X2) ) ).
cnf(i_0_701,axiom,
( X1 != X2
| relation_composition(X1,X3) = relation_composition(X2,X3) ) ).
cnf(i_0_702,axiom,
( X1 != X2
| relation_composition(X3,X1) = relation_composition(X3,X2) ) ).
cnf(i_0_703,axiom,
( X1 != X2
| set_union2(X1,X3) = set_union2(X2,X3) ) ).
cnf(i_0_704,axiom,
( X1 != X2
| set_union2(X3,X1) = set_union2(X3,X2) ) ).
cnf(i_0_705,axiom,
( X1 != X2
| esk10_3(X1,X3,X4) = esk10_3(X2,X3,X4) ) ).
cnf(i_0_706,axiom,
( X1 != X2
| esk10_3(X3,X1,X4) = esk10_3(X3,X2,X4) ) ).
cnf(i_0_707,axiom,
( X1 != X2
| esk10_3(X3,X4,X1) = esk10_3(X3,X4,X2) ) ).
cnf(i_0_708,axiom,
( X1 != X2
| relation_field(X1) = relation_field(X2) ) ).
cnf(i_0_709,axiom,
( X1 != X2
| set_meet(X1) = set_meet(X2) ) ).
cnf(i_0_710,axiom,
( X1 != X2
| subset_difference(X1,X3,X4) = subset_difference(X2,X3,X4) ) ).
cnf(i_0_711,axiom,
( X1 != X2
| subset_difference(X3,X1,X4) = subset_difference(X3,X2,X4) ) ).
cnf(i_0_712,axiom,
( X1 != X2
| subset_difference(X3,X4,X1) = subset_difference(X3,X4,X2) ) ).
cnf(i_0_713,axiom,
( X1 != X2
| union_of_subsets(X1,X3) = union_of_subsets(X2,X3) ) ).
cnf(i_0_714,axiom,
( X1 != X2
| union_of_subsets(X3,X1) = union_of_subsets(X3,X2) ) ).
cnf(i_0_715,axiom,
( X1 != X2
| meet_of_subsets(X1,X3) = meet_of_subsets(X2,X3) ) ).
cnf(i_0_716,axiom,
( X1 != X2
| meet_of_subsets(X3,X1) = meet_of_subsets(X3,X2) ) ).
cnf(i_0_717,axiom,
( X1 != X2
| union(X1) = union(X2) ) ).
cnf(i_0_718,axiom,
( X1 != X2
| esk3_1(X1) = esk3_1(X2) ) ).
cnf(i_0_719,axiom,
( X1 != X2
| esk7_2(X1,X3) = esk7_2(X2,X3) ) ).
cnf(i_0_720,axiom,
( X1 != X2
| esk7_2(X3,X1) = esk7_2(X3,X2) ) ).
cnf(i_0_721,axiom,
( X1 != X2
| cartesian_product2(X1,X3) = cartesian_product2(X2,X3) ) ).
cnf(i_0_722,axiom,
( X1 != X2
| cartesian_product2(X3,X1) = cartesian_product2(X3,X2) ) ).
cnf(i_0_723,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_724,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_725,axiom,
( X1 != X2
| ~ relation(X1)
| relation(X2) ) ).
cnf(i_0_726,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_727,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_728,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_729,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_730,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_731,axiom,
( X1 != X2
| ~ disjoint(X1,X3)
| disjoint(X2,X3) ) ).
cnf(i_0_732,axiom,
( X1 != X2
| ~ disjoint(X3,X1)
| disjoint(X3,X2) ) ).
cnf(i_0_733,axiom,
( X1 != X2
| ~ are_equipotent(X1,X3)
| are_equipotent(X2,X3) ) ).
cnf(i_0_734,axiom,
( X1 != X2
| ~ are_equipotent(X3,X1)
| are_equipotent(X3,X2) ) ).
cnf(i_0_735,axiom,
( X1 != X2
| ~ proper_subset(X1,X3)
| proper_subset(X2,X3) ) ).
cnf(i_0_736,axiom,
( X1 != X2
| ~ proper_subset(X3,X1)
| proper_subset(X3,X2) ) ).
cnf(i_0_683_001,axiom,
X1 = X1 ).
cnf(i_0_684_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_685_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_686_004,axiom,
( X1 != X2
| unordered_pair(X1,X3) = unordered_pair(X2,X3) ) ).
cnf(i_0_687_005,axiom,
( X1 != X2
| unordered_pair(X3,X1) = unordered_pair(X3,X2) ) ).
cnf(i_0_688_006,axiom,
( X1 != X2
| relation_inverse(X1) = relation_inverse(X2) ) ).
cnf(i_0_689_007,axiom,
( X1 != X2
| relation_rng(X1) = relation_rng(X2) ) ).
cnf(i_0_690_008,axiom,
( X1 != X2
| esk14_3(X1,X3,X4) = esk14_3(X2,X3,X4) ) ).
cnf(i_0_691_009,axiom,
( X1 != X2
| esk14_3(X3,X1,X4) = esk14_3(X3,X2,X4) ) ).
cnf(i_0_692_010,axiom,
( X1 != X2
| esk14_3(X3,X4,X1) = esk14_3(X3,X4,X2) ) ).
cnf(i_0_693_011,axiom,
( X1 != X2
| relation_dom(X1) = relation_dom(X2) ) ).
cnf(i_0_694_012,axiom,
( X1 != X2
| complements_of_subsets(X1,X3) = complements_of_subsets(X2,X3) ) ).
cnf(i_0_695_013,axiom,
( X1 != X2
| complements_of_subsets(X3,X1) = complements_of_subsets(X3,X2) ) ).
cnf(i_0_696_014,axiom,
( X1 != X2
| subset_complement(X1,X3) = subset_complement(X2,X3) ) ).
cnf(i_0_697_015,axiom,
( X1 != X2
| subset_complement(X3,X1) = subset_complement(X3,X2) ) ).
cnf(i_0_698_016,axiom,
( X1 != X2
| powerset(X1) = powerset(X2) ) ).
cnf(i_0_699_017,axiom,
( X1 != X2
| set_difference(X1,X3) = set_difference(X2,X3) ) ).
cnf(i_0_700_018,axiom,
( X1 != X2
| set_difference(X3,X1) = set_difference(X3,X2) ) ).
cnf(i_0_701_019,axiom,
( X1 != X2
| relation_composition(X1,X3) = relation_composition(X2,X3) ) ).
cnf(i_0_702_020,axiom,
( X1 != X2
| relation_composition(X3,X1) = relation_composition(X3,X2) ) ).
cnf(i_0_703_021,axiom,
( X1 != X2
| set_union2(X1,X3) = set_union2(X2,X3) ) ).
cnf(i_0_704_022,axiom,
( X1 != X2
| set_union2(X3,X1) = set_union2(X3,X2) ) ).
cnf(i_0_705_023,axiom,
( X1 != X2
| esk10_3(X1,X3,X4) = esk10_3(X2,X3,X4) ) ).
cnf(i_0_706_024,axiom,
( X1 != X2
| esk10_3(X3,X1,X4) = esk10_3(X3,X2,X4) ) ).
cnf(i_0_707_025,axiom,
( X1 != X2
| esk10_3(X3,X4,X1) = esk10_3(X3,X4,X2) ) ).
cnf(i_0_708_026,axiom,
( X1 != X2
| relation_field(X1) = relation_field(X2) ) ).
cnf(i_0_709_027,axiom,
( X1 != X2
| set_meet(X1) = set_meet(X2) ) ).
cnf(i_0_710_028,axiom,
( X1 != X2
| subset_difference(X1,X3,X4) = subset_difference(X2,X3,X4) ) ).
cnf(i_0_711_029,axiom,
( X1 != X2
| subset_difference(X3,X1,X4) = subset_difference(X3,X2,X4) ) ).
cnf(i_0_712_030,axiom,
( X1 != X2
| subset_difference(X3,X4,X1) = subset_difference(X3,X4,X2) ) ).
cnf(i_0_713_031,axiom,
( X1 != X2
| union_of_subsets(X1,X3) = union_of_subsets(X2,X3) ) ).
cnf(i_0_714_032,axiom,
( X1 != X2
| union_of_subsets(X3,X1) = union_of_subsets(X3,X2) ) ).
cnf(i_0_715_033,axiom,
( X1 != X2
| meet_of_subsets(X1,X3) = meet_of_subsets(X2,X3) ) ).
cnf(i_0_716_034,axiom,
( X1 != X2
| meet_of_subsets(X3,X1) = meet_of_subsets(X3,X2) ) ).
cnf(i_0_717_035,axiom,
( X1 != X2
| union(X1) = union(X2) ) ).
cnf(i_0_718_036,axiom,
( X1 != X2
| esk3_1(X1) = esk3_1(X2) ) ).
cnf(i_0_719_037,axiom,
( X1 != X2
| esk7_2(X1,X3) = esk7_2(X2,X3) ) ).
cnf(i_0_720_038,axiom,
( X1 != X2
| esk7_2(X3,X1) = esk7_2(X3,X2) ) ).
cnf(i_0_721_039,axiom,
( X1 != X2
| cartesian_product2(X1,X3) = cartesian_product2(X2,X3) ) ).
cnf(i_0_722_040,axiom,
( X1 != X2
| cartesian_product2(X3,X1) = cartesian_product2(X3,X2) ) ).
cnf(i_0_723_041,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_724_042,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_725_043,axiom,
( X1 != X2
| ~ relation(X1)
| relation(X2) ) ).
cnf(i_0_726_044,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_727_045,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_728_046,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_729_047,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_730_048,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_731_049,axiom,
( X1 != X2
| ~ disjoint(X1,X3)
| disjoint(X2,X3) ) ).
cnf(i_0_732_050,axiom,
( X1 != X2
| ~ disjoint(X3,X1)
| disjoint(X3,X2) ) ).
cnf(i_0_733_051,axiom,
( X1 != X2
| ~ are_equipotent(X1,X3)
| are_equipotent(X2,X3) ) ).
cnf(i_0_734_052,axiom,
( X1 != X2
| ~ are_equipotent(X3,X1)
| are_equipotent(X3,X2) ) ).
cnf(i_0_735_053,axiom,
( X1 != X2
| ~ proper_subset(X1,X3)
| proper_subset(X2,X3) ) ).
cnf(i_0_736_054,axiom,
( X1 != X2
| ~ proper_subset(X3,X1)
| proper_subset(X3,X2) ) ).
cnf(i_0_737,plain,
( ~ relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),relation_composition(X1,X2))
| in(unordered_pair(unordered_pair(esk31_5(X1,X2,relation_composition(X1,X2),X3,X4),X4),unordered_pair(esk31_5(X1,X2,relation_composition(X1,X2),X3,X4),esk31_5(X1,X2,relation_composition(X1,X2),X3,X4))),X2) ),
inference(equality_inference,[],[418]) ).
cnf(i_0_738,plain,
( ~ relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),relation_composition(X1,X2))
| in(unordered_pair(unordered_pair(X3,esk31_5(X1,X2,relation_composition(X1,X2),X3,X4)),unordered_pair(X3,X3)),X1) ),
inference(equality_inference,[],[419]) ).
cnf(i_0_739,plain,
( ~ in(X1,cartesian_product2(X2,X3))
| X1 = unordered_pair(unordered_pair(esk12_4(X2,X3,cartesian_product2(X2,X3),X1),esk13_4(X2,X3,cartesian_product2(X2,X3),X1)),unordered_pair(esk12_4(X2,X3,cartesian_product2(X2,X3),X1),esk12_4(X2,X3,cartesian_product2(X2,X3),X1))) ),
inference(equality_inference,[],[421]) ).
cnf(i_0_740,plain,
( ~ relation(X1)
| ~ in(X2,relation_rng(X1))
| in(unordered_pair(unordered_pair(esk26_3(X1,relation_rng(X1),X2),X2),unordered_pair(esk26_3(X1,relation_rng(X1),X2),esk26_3(X1,relation_rng(X1),X2))),X1) ),
inference(equality_inference,[],[425]) ).
cnf(i_0_741,plain,
( ~ relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X1)
| in(unordered_pair(unordered_pair(X3,X5),unordered_pair(X3,X3)),relation_composition(X1,X2))
| ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X2) ),
inference(equality_inference,[],[430]) ).
cnf(i_0_742,plain,
( ~ relation(X1)
| ~ in(X2,relation_dom(X1))
| in(unordered_pair(unordered_pair(X2,esk19_3(X1,relation_dom(X1),X2)),unordered_pair(X2,X2)),X1) ),
inference(equality_inference,[],[434]) ).
cnf(i_0_743,plain,
( ~ in(X1,cartesian_product2(X2,X3))
| in(esk13_4(X2,X3,cartesian_product2(X2,X3),X1),X3) ),
inference(equality_inference,[],[435]) ).
cnf(i_0_744,plain,
( ~ in(X1,cartesian_product2(X2,X3))
| in(esk12_4(X2,X3,cartesian_product2(X2,X3),X1),X2) ),
inference(equality_inference,[],[436]) ).
cnf(i_0_745,plain,
( ~ relation(X1)
| ~ relation(relation_inverse(X1))
| ~ in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),relation_inverse(X1))
| in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),X1) ),
inference(equality_inference,[],[443]) ).
cnf(i_0_746,plain,
( ~ relation(relation_inverse(X1))
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X1)
| in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),relation_inverse(X1)) ),
inference(equality_inference,[],[444]) ).
cnf(i_0_747,plain,
( ~ relation(X1)
| in(X2,relation_dom(X1))
| ~ in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X1) ),
inference(equality_inference,[],[459]) ).
cnf(i_0_748,plain,
( ~ relation(X1)
| in(X2,relation_rng(X1))
| ~ in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),X1) ),
inference(equality_inference,[],[460]) ).
cnf(i_0_749,plain,
( in(X1,complements_of_subsets(X2,X3))
| ~ element(X1,powerset(X2))
| ~ in(subset_complement(X2,X1),X3)
| ~ element(complements_of_subsets(X2,X3),powerset(powerset(X2)))
| ~ element(X3,powerset(powerset(X2))) ),
inference(equality_inference,[],[468]) ).
cnf(i_0_750,plain,
( ~ in(X1,complements_of_subsets(X2,X3))
| ~ element(X1,powerset(X2))
| in(subset_complement(X2,X1),X3)
| ~ element(complements_of_subsets(X2,X3),powerset(powerset(X2)))
| ~ element(X3,powerset(powerset(X2))) ),
inference(equality_inference,[],[469]) ).
cnf(i_0_751,plain,
( in(X1,set_meet(X2))
| ~ in(X1,esk4_3(X2,set_meet(X2),X1))
| X2 = empty_set ),
inference(equality_inference,[],[472]) ).
cnf(i_0_752,plain,
X1 = X1,
inference(equality_inference,[],[474]) ).
cnf(i_0_753,plain,
X1 = X1,
inference(equality_inference,[],[475]) ).
cnf(i_0_754,plain,
( ~ in(X1,union(X2))
| in(esk22_3(X2,union(X2),X1),X2) ),
inference(equality_inference,[],[484]) ).
cnf(i_0_755,plain,
( ~ in(X1,union(X2))
| in(X1,esk22_3(X2,union(X2),X1)) ),
inference(equality_inference,[],[485]) ).
cnf(i_0_756,plain,
( in(X1,set_meet(X2))
| X2 = empty_set
| in(esk4_3(X2,set_meet(X2),X1),X2) ),
inference(equality_inference,[],[486]) ).
cnf(i_0_757,plain,
( ~ in(X1,X2)
| ~ in(X1,X3)
| in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(equality_inference,[],[495]) ).
cnf(i_0_758,plain,
( ~ in(X1,set_difference(X2,set_difference(X2,X3)))
| in(X1,X3) ),
inference(equality_inference,[],[507]) ).
cnf(i_0_759,plain,
( in(X1,X2)
| in(X1,X3)
| ~ in(X1,set_union2(X2,X3)) ),
inference(equality_inference,[],[540]) ).
cnf(i_0_760,plain,
( in(X1,X2)
| in(X1,set_difference(X3,X2))
| ~ in(X1,X3) ),
inference(equality_inference,[],[541]) ).
cnf(i_0_761,plain,
( ~ in(X1,X2)
| in(X3,X1)
| ~ in(X3,set_meet(X2))
| X2 = empty_set ),
inference(equality_inference,[],[549]) ).
cnf(i_0_762,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(equality_inference,[],[554]) ).
cnf(i_0_763,plain,
( in(X1,union(X2))
| ~ in(X1,X3)
| ~ in(X3,X2) ),
inference(equality_inference,[],[555]) ).
cnf(i_0_764,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(equality_inference,[],[569]) ).
cnf(i_0_765,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X2) ),
inference(equality_inference,[],[570]) ).
cnf(i_0_766,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X3) ),
inference(equality_inference,[],[571]) ).
cnf(i_0_767,plain,
( X1 = X2
| X1 = X3
| ~ in(X1,unordered_pair(X2,X3)) ),
inference(equality_inference,[],[588]) ).
cnf(i_0_768,plain,
( ~ in(X1,unordered_pair(X2,X2))
| X1 = X2 ),
inference(equality_inference,[],[589]) ).
cnf(i_0_769,plain,
( X1 = X1
| X1 = X2 ),
inference(equality_inference,[],[590]) ).
cnf(i_0_770,plain,
X1 = X1,
inference(equality_inference,[],[595]) ).
cnf(i_0_771,plain,
X1 = X1,
inference(equality_inference,[],[596]) ).
cnf(i_0_772,plain,
( subset(X1,X2)
| ~ in(X1,powerset(X2)) ),
inference(equality_inference,[],[597]) ).
cnf(i_0_773,plain,
( in(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(equality_inference,[],[598]) ).
cnf(i_0_774,plain,
subset(empty_set,unordered_pair(X1,X1)),
inference(equality_inference,[],[608]) ).
cnf(i_0_775,plain,
~ proper_subset(X1,X1),
inference(equality_inference,[],[640]) ).
cnf(i_0_776,plain,
~ in(X1,empty_set),
inference(equality_inference,[],[641]) ).
cnf(i_0_777,plain,
subset(X1,X1),
inference(equality_inference,[],[655]) ).
cnf(i_0_778,plain,
subset(X1,X1),
inference(equality_inference,[],[656]) ).
cnf(i_0_779,plain,
in(esk8_1(unordered_pair(X1,X1)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_644,i_0_645]) ).
cnf(i_0_780,plain,
( X1 = empty_set
| in(esk8_1(X1),X1) ),
inference(rename_variables,[],[i_0_645]) ).
cnf(i_0_781,plain,
~ in(unordered_pair(X1,X1),unordered_pair(empty_set,empty_set)),
inference(scs_inference,[],[i_0_644,i_0_645,i_0_768]) ).
cnf(i_0_782,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_768]) ).
cnf(i_0_783,plain,
X1 = set_union2(X1,X1),
inference(scs_inference,[],[i_0_644,i_0_660,i_0_645,i_0_768,i_0_684]) ).
cnf(i_0_784,plain,
disjoint(empty_set,empty_set),
inference(scs_inference,[],[i_0_644,i_0_660,i_0_615,i_0_645,i_0_768,i_0_684,i_0_538]) ).
cnf(i_0_785,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_615]) ).
cnf(i_0_786,plain,
( set_difference(X1,set_difference(X1,X2)) != empty_set
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_538]) ).
cnf(i_0_787,plain,
subset(set_union2(empty_set,empty_set),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_644,i_0_660,i_0_615,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608]) ).
cnf(i_0_788,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_789,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_608]) ).
cnf(i_0_790,plain,
disjoint(X1,empty_set),
inference(scs_inference,[],[i_0_644,i_0_660,i_0_663,i_0_615,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619]) ).
cnf(i_0_791,plain,
( set_difference(X1,X2) != X1
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_619]) ).
cnf(i_0_792,plain,
subset(X1,set_difference(X1,empty_set)),
inference(scs_inference,[],[i_0_644,i_0_660,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628]) ).
cnf(i_0_793,plain,
( set_difference(X1,X2) != empty_set
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_628]) ).
cnf(i_0_794,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_644,i_0_660,i_0_788,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641]) ).
cnf(i_0_795,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_796,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_641]) ).
cnf(i_0_797,plain,
subset(set_difference(X1,set_difference(X1,X2)),set_difference(X2,set_difference(X2,X1))),
inference(scs_inference,[],[i_0_530,i_0_644,i_0_660,i_0_788,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655]) ).
cnf(i_0_798,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_655]) ).
cnf(i_0_799,plain,
subset(set_union2(X1,X2),set_union2(X2,X1)),
inference(scs_inference,[],[i_0_530,i_0_644,i_0_660,i_0_788,i_0_637,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656]) ).
cnf(i_0_800,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_656]) ).
cnf(i_0_801,plain,
element(complements_of_subsets(X1,esk42_1(powerset(X1))),powerset(powerset(X1))),
inference(scs_inference,[],[i_0_530,i_0_644,i_0_660,i_0_788,i_0_637,i_0_639,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503]) ).
cnf(i_0_802,plain,
element(esk42_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_639]) ).
cnf(i_0_803,plain,
( ~ element(X1,powerset(powerset(X2)))
| element(complements_of_subsets(X2,X1),powerset(powerset(X2))) ),
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_804,plain,
element(meet_of_subsets(X1,esk42_1(powerset(X1))),powerset(X1)),
inference(scs_inference,[],[i_0_530,i_0_644,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508]) ).
cnf(i_0_805,plain,
element(esk42_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_639]) ).
cnf(i_0_806,plain,
( ~ element(X1,powerset(powerset(X2)))
| element(meet_of_subsets(X2,X1),powerset(X2)) ),
inference(rename_variables,[],[i_0_508]) ).
cnf(i_0_807,plain,
element(union_of_subsets(X1,esk42_1(powerset(X1))),powerset(X1)),
inference(scs_inference,[],[i_0_530,i_0_644,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509]) ).
cnf(i_0_808,plain,
element(esk42_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_639]) ).
cnf(i_0_809,plain,
( ~ element(X1,powerset(powerset(X2)))
| element(union_of_subsets(X2,X1),powerset(X2)) ),
inference(rename_variables,[],[i_0_509]) ).
cnf(i_0_810,plain,
complements_of_subsets(X1,complements_of_subsets(X1,powerset(X1))) = powerset(X1),
inference(scs_inference,[],[i_0_530,i_0_644,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_651,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513]) ).
cnf(i_0_811,plain,
element(X1,powerset(X1)),
inference(rename_variables,[],[i_0_651]) ).
cnf(i_0_812,plain,
( ~ element(X1,powerset(powerset(X2)))
| complements_of_subsets(X2,complements_of_subsets(X2,X1)) = X1 ),
inference(rename_variables,[],[i_0_513]) ).
cnf(i_0_813,plain,
element(subset_complement(X1,esk42_1(X1)),powerset(X1)),
inference(scs_inference,[],[i_0_530,i_0_644,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531]) ).
cnf(i_0_814,plain,
( ~ element(X1,powerset(X2))
| element(subset_complement(X2,X1),powerset(X2)) ),
inference(rename_variables,[],[i_0_531]) ).
cnf(i_0_815,plain,
in(esk51_2(X1,X1),esk50_1(X1)),
inference(scs_inference,[],[i_0_530,i_0_644,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_652,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532]) ).
cnf(i_0_816,plain,
( ~ in(X1,esk50_1(X2))
| in(esk51_2(X2,X1),esk50_1(X2)) ),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_817,plain,
in(X1,unordered_pair(X1,X2)),
inference(scs_inference,[],[i_0_530,i_0_644,i_0_661,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_652,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536]) ).
cnf(i_0_818,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_661]) ).
cnf(i_0_819,plain,
( ~ subset(unordered_pair(X1,X2),X3)
| in(X1,X3) ),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_820,plain,
in(X1,unordered_pair(X2,X1)),
inference(scs_inference,[],[i_0_530,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_652,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537]) ).
cnf(i_0_821,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_661]) ).
cnf(i_0_822,plain,
( ~ subset(unordered_pair(X1,X2),X3)
| in(X2,X3) ),
inference(rename_variables,[],[i_0_537]) ).
cnf(i_0_823,plain,
meet_of_subsets(X1,powerset(X1)) = set_meet(powerset(X1)),
inference(scs_inference,[],[i_0_530,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_652,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550]) ).
cnf(i_0_824,plain,
element(X1,powerset(X1)),
inference(rename_variables,[],[i_0_651]) ).
cnf(i_0_825,plain,
( ~ element(X1,powerset(powerset(X2)))
| meet_of_subsets(X2,X1) = set_meet(X1) ),
inference(rename_variables,[],[i_0_550]) ).
cnf(i_0_826,plain,
union_of_subsets(X1,powerset(X1)) = union(powerset(X1)),
inference(scs_inference,[],[i_0_530,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551]) ).
cnf(i_0_827,plain,
element(X1,powerset(X1)),
inference(rename_variables,[],[i_0_651]) ).
cnf(i_0_828,plain,
( ~ element(X1,powerset(powerset(X2)))
| union_of_subsets(X2,X1) = union(X1) ),
inference(rename_variables,[],[i_0_551]) ).
cnf(i_0_829,plain,
subset_complement(X1,esk42_1(X1)) = set_difference(X1,esk42_1(X1)),
inference(scs_inference,[],[i_0_530,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573]) ).
cnf(i_0_830,plain,
( ~ element(X1,powerset(X2))
| subset_complement(X2,X1) = set_difference(X2,X1) ),
inference(rename_variables,[],[i_0_573]) ).
cnf(i_0_831,plain,
disjoint(empty_set,X1),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580]) ).
cnf(i_0_832,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_833,plain,
( in(esk46_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_580]) ).
cnf(i_0_834,plain,
disjoint(X1,set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581]) ).
cnf(i_0_835,plain,
( in(esk46_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_581]) ).
cnf(i_0_836,plain,
subset(esk42_1(X1),X1),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594]) ).
cnf(i_0_837,plain,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_594]) ).
cnf(i_0_838,plain,
~ in(esk50_1(X1),X1),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601]) ).
cnf(i_0_839,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_840,plain,
disjoint(set_union2(empty_set,empty_set),X1),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624]) ).
cnf(i_0_841,plain,
( ~ disjoint(X1,X2)
| disjoint(X2,X1) ),
inference(rename_variables,[],[i_0_624]) ).
cnf(i_0_842,plain,
element(X1,esk50_1(X1)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625]) ).
cnf(i_0_843,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_625]) ).
cnf(i_0_844,plain,
~ in(X1,esk40_0),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_679,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633]) ).
cnf(i_0_845,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_633]) ).
cnf(i_0_846,plain,
relation(esk40_0),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_679,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642]) ).
cnf(i_0_847,plain,
( in(esk3_1(X1),X1)
| relation(X1) ),
inference(rename_variables,[],[i_0_642]) ).
cnf(i_0_848,plain,
relation(esk42_1(X1)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668]) ).
cnf(i_0_849,plain,
( ~ empty(X1)
| relation(X1) ),
inference(rename_variables,[],[i_0_668]) ).
cnf(i_0_850,plain,
~ in(X1,cartesian_product2(X2,empty_set)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743]) ).
cnf(i_0_851,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_852,plain,
( in(esk13_4(X1,X2,cartesian_product2(X1,X2),X3),X2)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(rename_variables,[],[i_0_743]) ).
cnf(i_0_853,plain,
~ in(X1,cartesian_product2(empty_set,X2)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744]) ).
cnf(i_0_854,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_855,plain,
( in(esk12_4(X1,X2,cartesian_product2(X1,X2),X3),X1)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(rename_variables,[],[i_0_744]) ).
cnf(i_0_856,plain,
~ in(X1,union(empty_set)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754]) ).
cnf(i_0_857,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_858,plain,
( in(esk22_3(X1,union(X1),X2),X1)
| ~ in(X2,union(X1)) ),
inference(rename_variables,[],[i_0_754]) ).
cnf(i_0_859,plain,
~ in(X1,set_difference(X2,set_difference(X2,empty_set))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758]) ).
cnf(i_0_860,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_758]) ).
cnf(i_0_861,plain,
~ in(X1,set_difference(X2,esk50_1(X1))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762]) ).
cnf(i_0_862,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_762]) ).
cnf(i_0_863,plain,
~ in(X1,set_difference(empty_set,X2)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764]) ).
cnf(i_0_864,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_764]) ).
cnf(i_0_865,plain,
in(X1,set_union2(esk50_1(X1),X2)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765]) ).
cnf(i_0_866,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_765]) ).
cnf(i_0_867,plain,
in(X1,set_union2(X2,esk50_1(X1))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766]) ).
cnf(i_0_868,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_766]) ).
cnf(i_0_869,plain,
in(X1,powerset(X1)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773]) ).
cnf(i_0_870,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_773]) ).
cnf(i_0_871,plain,
cartesian_product2(X1,empty_set) = empty_set,
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527]) ).
cnf(i_0_872,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_873,plain,
( in(esk45_2(X1,X2),X1)
| in(esk45_2(X1,X2),X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_874,plain,
~ in(unordered_pair(X1,X1),set_union2(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589]) ).
cnf(i_0_875,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_876,plain,
( X1 != unordered_pair(X2,X2)
| ~ in(X3,X1)
| X3 = X2 ),
inference(rename_variables,[],[i_0_589]) ).
cnf(i_0_877,plain,
X1 = set_difference(X1,empty_set),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593]) ).
cnf(i_0_878,plain,
subset(set_difference(X1,X2),X1),
inference(rename_variables,[],[i_0_616]) ).
cnf(i_0_879,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_593]) ).
cnf(i_0_880,plain,
unordered_pair(X1,X1) != set_meet(set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667]) ).
cnf(i_0_881,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_882,plain,
( X1 != empty_set
| X2 = empty_set
| X2 != set_meet(X1) ),
inference(rename_variables,[],[i_0_667]) ).
cnf(i_0_883,plain,
esk8_1(unordered_pair(X1,X1)) = X1,
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767]) ).
cnf(i_0_884,plain,
( ~ in(X1,unordered_pair(X2,X3))
| X1 = X2
| X1 = X3 ),
inference(rename_variables,[],[i_0_767]) ).
cnf(i_0_885,plain,
unordered_pair(X1,X1) != set_union2(empty_set,empty_set),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685]) ).
cnf(i_0_886,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_887,plain,
esk50_1(set_union2(unordered_pair(X1,X2),unordered_pair(X1,X2))) != X1,
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610]) ).
cnf(i_0_888,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_889,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X2 ),
inference(rename_variables,[],[i_0_610]) ).
cnf(i_0_890,plain,
esk50_1(set_union2(unordered_pair(X1,X2),unordered_pair(X1,X2))) != X2,
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611]) ).
cnf(i_0_891,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_892,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X3 ),
inference(rename_variables,[],[i_0_611]) ).
cnf(i_0_893,plain,
set_union2(empty_set,empty_set) = set_meet(set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671]) ).
cnf(i_0_894,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_895,plain,
( X1 != empty_set
| X2 != empty_set
| X1 = set_meet(X2) ),
inference(rename_variables,[],[i_0_671]) ).
cnf(i_0_896,plain,
~ in(set_union2(unordered_pair(X1,X1),unordered_pair(X1,X1)),unordered_pair(empty_set,empty_set)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723]) ).
cnf(i_0_897,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_898,plain,
~ in(esk46_2(X1,set_union2(empty_set,empty_set)),set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724]) ).
cnf(i_0_899,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_900,plain,
relation(set_difference(esk41_0,empty_set)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725]) ).
cnf(i_0_901,plain,
esk40_0 != esk43_0,
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728]) ).
cnf(i_0_902,plain,
~ proper_subset(set_difference(X1,set_difference(X1,X2)),set_difference(X2,set_difference(X2,X1))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735]) ).
cnf(i_0_903,plain,
~ proper_subset(X1,X1),
inference(rename_variables,[],[i_0_643]) ).
cnf(i_0_904,plain,
~ in(X1,set_union2(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435]) ).
cnf(i_0_905,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_906,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_907,plain,
( X1 != cartesian_product2(X2,X3)
| in(esk13_4(X2,X3,X1,X4),X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_435]) ).
cnf(i_0_908,plain,
~ in(X1,set_union2(cartesian_product2(empty_set,X2),cartesian_product2(empty_set,X2))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436]) ).
cnf(i_0_909,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_910,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_911,plain,
( X1 != cartesian_product2(X2,X3)
| in(esk12_4(X2,X3,X1,X4),X2)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_436]) ).
cnf(i_0_912,plain,
empty_set = cartesian_product2(X1,cartesian_product2(empty_set,X2)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457]) ).
cnf(i_0_913,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_914,plain,
( in(esk14_3(X1,X2,X3),X3)
| X3 = cartesian_product2(X1,X2)
| in(esk16_3(X1,X2,X3),X2) ),
inference(rename_variables,[],[i_0_457]) ).
cnf(i_0_915,plain,
empty_set = cartesian_product2(union(empty_set),X1),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458]) ).
cnf(i_0_916,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_917,plain,
( in(esk14_3(X1,X2,X3),X3)
| X3 = cartesian_product2(X1,X2)
| in(esk15_3(X1,X2,X3),X1) ),
inference(rename_variables,[],[i_0_458]) ).
cnf(i_0_918,plain,
element(subset_difference(X1,esk42_1(X1),esk42_1(X1)),powerset(X1)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477]) ).
cnf(i_0_919,plain,
( ~ element(X1,powerset(X2))
| ~ element(X3,powerset(X2))
| element(subset_difference(X2,X1,X3),powerset(X2)) ),
inference(rename_variables,[],[i_0_477]) ).
cnf(i_0_920,plain,
~ in(X1,set_union2(union(empty_set),union(empty_set))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484]) ).
cnf(i_0_921,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_922,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_923,plain,
( X1 != union(X2)
| in(esk22_3(X2,X1,X3),X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_484]) ).
cnf(i_0_924,plain,
subset_difference(X1,esk42_1(X1),esk42_1(X1)) = set_difference(esk42_1(X1),esk42_1(X1)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489]) ).
cnf(i_0_925,plain,
( ~ element(X1,powerset(X2))
| ~ element(X3,powerset(X2))
| subset_difference(X2,X1,X3) = set_difference(X1,X3) ),
inference(rename_variables,[],[i_0_489]) ).
cnf(i_0_926,plain,
~ in(X1,set_union2(set_difference(X2,set_difference(X2,empty_set)),set_difference(X2,set_difference(X2,empty_set)))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507]) ).
cnf(i_0_927,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_928,plain,
( X1 != set_difference(X2,set_difference(X2,X3))
| ~ in(X4,X1)
| in(X4,X3) ),
inference(rename_variables,[],[i_0_507]) ).
cnf(i_0_929,plain,
in(set_union2(unordered_pair(X1,X2),unordered_pair(X1,X2)),esk51_2(set_union2(unordered_pair(X1,X2),unordered_pair(X1,X2)),set_union2(unordered_pair(X1,X2),unordered_pair(X1,X2)))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510]) ).
cnf(i_0_930,plain,
in(X1,esk50_1(X1)),
inference(rename_variables,[],[i_0_652]) ).
cnf(i_0_931,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_661]) ).
cnf(i_0_932,plain,
( ~ in(X1,esk50_1(X2))
| in(X3,esk51_2(X2,X1))
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_510]) ).
cnf(i_0_933,plain,
empty_set = union(set_union2(cartesian_product2(X1,empty_set),cartesian_product2(X1,empty_set))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522]) ).
cnf(i_0_934,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_935,plain,
( in(esk23_2(X1,X2),X2)
| X2 = union(X1)
| in(esk24_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_522]) ).
cnf(i_0_936,plain,
~ in(X1,esk42_1(empty_set)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553]) ).
cnf(i_0_937,plain,
element(esk42_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_639]) ).
cnf(i_0_938,plain,
( ~ element(X1,powerset(X2))
| ~ in(X3,X1)
| in(X3,X2) ),
inference(rename_variables,[],[i_0_553]) ).
cnf(i_0_939,plain,
~ in(X1,set_union2(set_difference(X2,esk50_1(X1)),set_difference(X2,esk50_1(X1)))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554]) ).
cnf(i_0_940,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_941,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_554]) ).
cnf(i_0_942,plain,
~ in(X1,esk42_1(esk40_0)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568]) ).
cnf(i_0_943,plain,
element(esk42_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_639]) ).
cnf(i_0_944,plain,
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_568]) ).
cnf(i_0_945,plain,
~ in(X1,set_union2(set_difference(empty_set,X2),set_difference(empty_set,X2))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569]) ).
cnf(i_0_946,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_947,plain,
( X1 != set_difference(X2,X3)
| in(X4,X2)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_948,plain,
in(X1,set_difference(set_union2(esk50_1(X1),X2),empty_set)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_616,i_0_663,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570]) ).
cnf(i_0_949,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_663]) ).
cnf(i_0_950,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_570]) ).
cnf(i_0_951,plain,
in(X1,set_difference(set_union2(X2,esk50_1(X1)),empty_set)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_616,i_0_663,i_0_949,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571]) ).
cnf(i_0_952,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_663]) ).
cnf(i_0_953,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X3) ),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_954,plain,
~ subset(esk50_1(X1),empty_set),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_616,i_0_663,i_0_949,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576]) ).
cnf(i_0_955,plain,
in(X1,esk50_1(X1)),
inference(rename_variables,[],[i_0_652]) ).
cnf(i_0_956,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_576]) ).
cnf(i_0_957,plain,
~ in(esk50_1(X1),set_union2(powerset(empty_set),powerset(empty_set))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_616,i_0_663,i_0_949,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597]) ).
cnf(i_0_958,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_959,plain,
( X1 != powerset(X2)
| subset(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_597]) ).
cnf(i_0_960,plain,
in(X1,set_difference(powerset(X1),empty_set)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_616,i_0_663,i_0_949,i_0_952,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598]) ).
cnf(i_0_961,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_663]) ).
cnf(i_0_962,plain,
( X1 != powerset(X2)
| in(X3,X1)
| ~ subset(X3,X2) ),
inference(rename_variables,[],[i_0_598]) ).
cnf(i_0_963,plain,
in(esk36_1(esk43_0),esk43_0),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_650,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_616,i_0_663,i_0_949,i_0_952,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614]) ).
cnf(i_0_964,plain,
element(esk36_1(X1),X1),
inference(rename_variables,[],[i_0_650]) ).
cnf(i_0_965,plain,
( empty(X1)
| ~ element(X2,X1)
| in(X2,X1) ),
inference(rename_variables,[],[i_0_614]) ).
cnf(i_0_966,plain,
~ element(esk43_0,esk40_0),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_650,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_616,i_0_663,i_0_949,i_0_952,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631]) ).
cnf(i_0_967,plain,
( ~ empty(X1)
| empty(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_631]) ).
cnf(i_0_968,plain,
element(esk40_0,esk40_0),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_650,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_616,i_0_663,i_0_949,i_0_952,i_0_674,i_0_676,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634]) ).
cnf(i_0_969,plain,
( ~ empty(X1)
| ~ empty(X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_634]) ).
cnf(i_0_970,plain,
~ in(X1,relation_dom(empty_set)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_650,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_616,i_0_663,i_0_949,i_0_952,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742]) ).
cnf(i_0_971,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_972,plain,
( in(unordered_pair(unordered_pair(X1,esk19_3(X2,relation_dom(X2),X1)),unordered_pair(X1,X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_742]) ).
cnf(i_0_973,plain,
in(X1,set_difference(esk50_1(X1),empty_set)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_650,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_955,i_0_616,i_0_663,i_0_949,i_0_952,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760]) ).
cnf(i_0_974,plain,
in(X1,esk50_1(X1)),
inference(rename_variables,[],[i_0_652]) ).
cnf(i_0_975,plain,
( ~ in(X1,X2)
| in(X1,X3)
| in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_760]) ).
cnf(i_0_976,plain,
in(X1,union(esk50_1(esk44_1(X1)))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_650,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_955,i_0_974,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763]) ).
cnf(i_0_977,plain,
in(X1,esk50_1(X1)),
inference(rename_variables,[],[i_0_652]) ).
cnf(i_0_978,plain,
( ~ in(X1,X2)
| in(X3,union(X2))
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_763]) ).
cnf(i_0_979,plain,
~ in(unordered_pair(X1,X1),set_difference(unordered_pair(empty_set,empty_set),empty_set)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_650,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_955,i_0_974,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588]) ).
cnf(i_0_980,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_663]) ).
cnf(i_0_981,plain,
( X1 != unordered_pair(X2,X3)
| X4 = X2
| X4 = X3
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_588]) ).
cnf(i_0_982,plain,
~ in(X1,set_union2(relation_rng(empty_set),relation_rng(empty_set))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_650,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_955,i_0_974,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425]) ).
cnf(i_0_983,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_984,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_985,plain,
( in(unordered_pair(unordered_pair(esk26_3(X1,X2,X3),X3),unordered_pair(esk26_3(X1,X2,X3),esk26_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
inference(rename_variables,[],[i_0_425]) ).
cnf(i_0_986,plain,
set_union2(cartesian_product2(empty_set,X1),cartesian_product2(empty_set,X1)) = relation_rng(empty_set),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_650,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_955,i_0_974,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432]) ).
cnf(i_0_987,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_988,plain,
( in(unordered_pair(unordered_pair(esk28_2(X1,X2),esk27_2(X1,X2)),unordered_pair(esk28_2(X1,X2),esk28_2(X1,X2))),X1)
| in(esk27_2(X1,X2),X2)
| X2 = relation_rng(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_432]) ).
cnf(i_0_989,plain,
set_union2(union(empty_set),union(empty_set)) = relation_dom(empty_set),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_650,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_955,i_0_974,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433]) ).
cnf(i_0_990,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_991,plain,
( in(unordered_pair(unordered_pair(esk20_2(X1,X2),esk21_2(X1,X2)),unordered_pair(esk20_2(X1,X2),esk20_2(X1,X2))),X1)
| in(esk20_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_433]) ).
cnf(i_0_992,plain,
~ in(X1,set_union2(relation_dom(empty_set),relation_dom(empty_set))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_650,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_955,i_0_974,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434]) ).
cnf(i_0_993,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_994,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_995,plain,
( in(unordered_pair(unordered_pair(X1,esk19_3(X2,X3,X1)),unordered_pair(X1,X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rename_variables,[],[i_0_434]) ).
cnf(i_0_996,plain,
in(esk11_3(empty_set,empty_set,unordered_pair(X1,X1)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_650,i_0_651,i_0_811,i_0_824,i_0_652,i_0_930,i_0_955,i_0_974,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445]) ).
cnf(i_0_997,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_998,plain,
( X1 = set_union2(X2,X3)
| in(esk11_3(X2,X3,X1),X1)
| in(esk11_3(X2,X3,X1),X2)
| in(esk11_3(X2,X3,X1),X3) ),
inference(rename_variables,[],[i_0_445]) ).
cnf(i_0_999,plain,
subset(esk42_1(set_union2(empty_set,empty_set)),subset_complement(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494]) ).
cnf(i_0_1000,plain,
element(X1,powerset(X1)),
inference(rename_variables,[],[i_0_651]) ).
cnf(i_0_1001,plain,
element(esk42_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_639]) ).
cnf(i_0_1002,plain,
( ~ element(X1,powerset(X2))
| ~ element(X3,powerset(X2))
| subset(X3,subset_complement(X2,X1))
| ~ disjoint(X3,X1) ),
inference(rename_variables,[],[i_0_494]) ).
cnf(i_0_1003,plain,
in(X1,set_difference(esk50_1(X1),set_difference(esk50_1(X1),esk50_1(X1)))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495]) ).
cnf(i_0_1004,plain,
set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1005,plain,
( X1 != set_difference(X2,set_difference(X2,X3))
| ~ in(X4,X3)
| ~ in(X4,X2)
| in(X4,X1) ),
inference(rename_variables,[],[i_0_495]) ).
cnf(i_0_1006,plain,
~ in(X1,set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540]) ).
cnf(i_0_1007,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_1008,plain,
( X1 != set_union2(X2,X3)
| in(X4,X2)
| in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_540]) ).
cnf(i_0_1009,plain,
in(X1,set_difference(set_difference(esk50_1(X1),empty_set),empty_set)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_980,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540,i_0_541]) ).
cnf(i_0_1010,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_663]) ).
cnf(i_0_1011,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_1012,plain,
( X1 != set_difference(X2,X3)
| in(X4,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_541]) ).
cnf(i_0_1013,plain,
empty_set = relation_inverse(esk42_1(esk40_0)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_1011,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_637,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_980,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540,i_0_541,i_0_426]) ).
cnf(i_0_1014,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_1015,plain,
( in(unordered_pair(unordered_pair(esk29_2(X1,X2),esk30_2(X1,X2)),unordered_pair(esk29_2(X1,X2),esk29_2(X1,X2))),X2)
| in(unordered_pair(unordered_pair(esk30_2(X1,X2),esk29_2(X1,X2)),unordered_pair(esk30_2(X1,X2),esk30_2(X1,X2))),X1)
| X2 = relation_inverse(X1)
| ~ relation(X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_426]) ).
cnf(i_0_1016,plain,
in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),set_union2(cartesian_product2(esk50_1(X1),esk50_1(X1)),cartesian_product2(esk50_1(X1),esk50_1(X1)))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_1011,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_1007,i_0_637,i_0_638,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_980,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540,i_0_541,i_0_426,i_0_478]) ).
cnf(i_0_1017,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_638]) ).
cnf(i_0_1018,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_1019,plain,
( X1 != unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2))
| X4 != cartesian_product2(X5,X6)
| ~ in(X3,X6)
| ~ in(X2,X5)
| in(X1,X4) ),
inference(rename_variables,[],[i_0_478]) ).
cnf(i_0_1020,plain,
esk42_1(empty_set) = empty_set,
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_1011,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_1007,i_0_637,i_0_638,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_980,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540,i_0_541,i_0_426,i_0_478,i_0_646]) ).
cnf(i_0_1021,plain,
( ~ subset(X1,empty_set)
| X1 = empty_set ),
inference(rename_variables,[],[i_0_646]) ).
cnf(i_0_1022,plain,
~ empty(esk50_1(set_union2(unordered_pair(empty_set,X1),unordered_pair(empty_set,X1)))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_1011,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_1007,i_0_637,i_0_638,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_980,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540,i_0_541,i_0_426,i_0_478,i_0_646,i_0_673]) ).
cnf(i_0_1023,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_673]) ).
cnf(i_0_1024,plain,
~ disjoint(esk50_1(X1),esk50_1(X1)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_1011,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_1007,i_0_637,i_0_638,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_980,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540,i_0_541,i_0_426,i_0_478,i_0_646,i_0_673,i_0_482]) ).
cnf(i_0_1025,plain,
( ~ in(X1,set_difference(X2,set_difference(X2,X3)))
| ~ disjoint(X2,X3) ),
inference(rename_variables,[],[i_0_482]) ).
cnf(i_0_1026,plain,
subset(relation_dom(empty_set),X1),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_1011,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_1007,i_0_637,i_0_638,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_980,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540,i_0_541,i_0_426,i_0_478,i_0_646,i_0_673,i_0_482,i_0_582]) ).
cnf(i_0_1027,plain,
( in(esk17_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_582]) ).
cnf(i_0_1028,plain,
( ~ relation(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)))
| set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)) = empty_set ),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_1011,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_1007,i_0_637,i_0_638,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_980,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540,i_0_541,i_0_426,i_0_478,i_0_646,i_0_673,i_0_482,i_0_582,i_0_465]) ).
cnf(i_0_1029,plain,
( in(unordered_pair(unordered_pair(esk48_1(X1),esk49_1(X1)),unordered_pair(esk48_1(X1),esk48_1(X1))),X1)
| X1 = empty_set
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_465]) ).
cnf(i_0_1030,plain,
~ element(set_union2(esk43_0,esk43_0),esk40_0),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_1011,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_1007,i_0_1018,i_0_637,i_0_638,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_980,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540,i_0_541,i_0_426,i_0_478,i_0_646,i_0_673,i_0_482,i_0_582,i_0_465,i_0_726]) ).
cnf(i_0_1031,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_1032,plain,
~ element(esk43_0,set_union2(esk40_0,esk40_0)),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_1011,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_1007,i_0_1018,i_0_1031,i_0_637,i_0_638,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_980,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540,i_0_541,i_0_426,i_0_478,i_0_646,i_0_673,i_0_482,i_0_582,i_0_465,i_0_726,i_0_727]) ).
cnf(i_0_1033,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_1034,plain,
~ in(esk43_0,esk36_1(powerset(esk40_0))),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_1011,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_1007,i_0_1018,i_0_1031,i_0_637,i_0_638,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_964,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_980,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540,i_0_541,i_0_426,i_0_478,i_0_646,i_0_673,i_0_482,i_0_582,i_0_465,i_0_726,i_0_727,i_0_552]) ).
cnf(i_0_1035,plain,
element(esk36_1(X1),X1),
inference(rename_variables,[],[i_0_650]) ).
cnf(i_0_1036,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1037,plain,
( ~ in(X1,esk4_3(unordered_pair(X2,X2),set_meet(unordered_pair(X2,X2)),X1))
| in(X1,set_meet(unordered_pair(X2,X2))) ),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_1011,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_1007,i_0_1018,i_0_1031,i_0_637,i_0_638,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_964,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_980,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540,i_0_541,i_0_426,i_0_478,i_0_646,i_0_673,i_0_482,i_0_582,i_0_465,i_0_726,i_0_727,i_0_552,i_0_751]) ).
cnf(i_0_1038,plain,
( X1 = empty_set
| ~ in(X2,esk4_3(X1,set_meet(X1),X2))
| in(X2,set_meet(X1)) ),
inference(rename_variables,[],[i_0_751]) ).
cnf(i_0_1039,plain,
( in(esk4_3(unordered_pair(X1,X1),set_meet(unordered_pair(X1,X1)),X2),unordered_pair(X1,X1))
| in(X2,set_meet(unordered_pair(X1,X1))) ),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_1011,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_1007,i_0_1018,i_0_1031,i_0_637,i_0_638,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_964,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_980,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540,i_0_541,i_0_426,i_0_478,i_0_646,i_0_673,i_0_482,i_0_582,i_0_465,i_0_726,i_0_727,i_0_552,i_0_751,i_0_756]) ).
cnf(i_0_1040,plain,
( X1 = empty_set
| in(esk4_3(X1,set_meet(X1),X2),X1)
| in(X2,set_meet(X1)) ),
inference(rename_variables,[],[i_0_756]) ).
cnf(i_0_1041,plain,
( ~ in(X1,set_union2(union(X2),union(X2)))
| in(X1,esk22_3(X2,set_union2(union(X2),union(X2)),X1)) ),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_1011,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_1007,i_0_1018,i_0_1031,i_0_1033,i_0_637,i_0_638,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_650,i_0_964,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_980,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540,i_0_541,i_0_426,i_0_478,i_0_646,i_0_673,i_0_482,i_0_582,i_0_465,i_0_726,i_0_727,i_0_552,i_0_751,i_0_756,i_0_485]) ).
cnf(i_0_1042,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_1043,plain,
( X1 != union(X2)
| in(X3,esk22_3(X2,X1,X3))
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_485]) ).
cnf(i_0_1044,plain,
( ~ in(X1,esk42_1(X2))
| ~ in(X1,subset_complement(X2,esk42_1(X2))) ),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_1011,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_1007,i_0_1018,i_0_1031,i_0_1033,i_0_637,i_0_638,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_1001,i_0_650,i_0_964,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_980,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540,i_0_541,i_0_426,i_0_478,i_0_646,i_0_673,i_0_482,i_0_582,i_0_465,i_0_726,i_0_727,i_0_552,i_0_751,i_0_756,i_0_485,i_0_496]) ).
cnf(i_0_1045,plain,
( ~ element(X1,powerset(X2))
| ~ in(X3,subset_complement(X2,X1))
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_1046,plain,
( ~ in(X1,set_meet(unordered_pair(X2,X2)))
| in(X1,esk8_1(unordered_pair(X2,X2))) ),
inference(scs_inference,[],[i_0_530,i_0_776,i_0_832,i_0_851,i_0_854,i_0_857,i_0_872,i_0_906,i_0_910,i_0_913,i_0_916,i_0_922,i_0_934,i_0_971,i_0_983,i_0_987,i_0_990,i_0_993,i_0_997,i_0_1011,i_0_644,i_0_643,i_0_661,i_0_818,i_0_821,i_0_931,i_0_660,i_0_788,i_0_795,i_0_875,i_0_881,i_0_886,i_0_888,i_0_891,i_0_894,i_0_897,i_0_899,i_0_905,i_0_909,i_0_921,i_0_927,i_0_940,i_0_946,i_0_958,i_0_984,i_0_994,i_0_1007,i_0_1018,i_0_1031,i_0_1033,i_0_637,i_0_638,i_0_639,i_0_802,i_0_805,i_0_808,i_0_937,i_0_943,i_0_1001,i_0_650,i_0_964,i_0_651,i_0_811,i_0_824,i_0_827,i_0_652,i_0_930,i_0_955,i_0_974,i_0_977,i_0_653,i_0_616,i_0_663,i_0_949,i_0_952,i_0_961,i_0_980,i_0_674,i_0_676,i_0_678,i_0_679,i_0_670,i_0_615,i_0_623,i_0_645,i_0_768,i_0_684,i_0_538,i_0_608,i_0_619,i_0_628,i_0_641,i_0_655,i_0_656,i_0_503,i_0_508,i_0_509,i_0_513,i_0_531,i_0_532,i_0_536,i_0_537,i_0_550,i_0_551,i_0_573,i_0_580,i_0_581,i_0_594,i_0_601,i_0_624,i_0_625,i_0_633,i_0_642,i_0_668,i_0_743,i_0_744,i_0_754,i_0_758,i_0_762,i_0_764,i_0_765,i_0_766,i_0_773,i_0_527,i_0_589,i_0_593,i_0_667,i_0_767,i_0_685,i_0_610,i_0_611,i_0_671,i_0_723,i_0_724,i_0_725,i_0_728,i_0_735,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_489,i_0_507,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_569,i_0_570,i_0_571,i_0_576,i_0_597,i_0_598,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_588,i_0_425,i_0_432,i_0_433,i_0_434,i_0_445,i_0_494,i_0_495,i_0_540,i_0_541,i_0_426,i_0_478,i_0_646,i_0_673,i_0_482,i_0_582,i_0_465,i_0_726,i_0_727,i_0_552,i_0_751,i_0_756,i_0_485,i_0_496,i_0_761]) ).
cnf(i_0_1047,plain,
( X1 = empty_set
| ~ in(X2,set_meet(X1))
| ~ in(X3,X1)
| in(X2,X3) ),
inference(rename_variables,[],[i_0_761]) ).
cnf(i_0_1048,plain,
~ in(unordered_pair(X1,X1),unordered_pair(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_885,i_0_768]) ).
cnf(i_0_1049,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_768]) ).
cnf(i_0_1050,plain,
disjoint(X1,set_difference(X1,X1)),
inference(scs_inference,[],[i_0_885,i_0_615,i_0_768,i_0_619]) ).
cnf(i_0_1051,plain,
( set_difference(X1,X2) != X1
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_619]) ).
cnf(i_0_1052,plain,
~ in(X1,esk8_1(unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_883,i_0_885,i_0_615,i_0_768,i_0_619,i_0_641]) ).
cnf(i_0_1053,plain,
esk8_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_883]) ).
cnf(i_0_1054,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_641]) ).
cnf(i_0_1055,plain,
subset(esk8_1(unordered_pair(X1,X1)),X1),
inference(scs_inference,[],[i_0_883,i_0_1053,i_0_885,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655]) ).
cnf(i_0_1056,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_655]) ).
cnf(i_0_1057,plain,
element(complements_of_subsets(X1,powerset(X1)),powerset(powerset(X1))),
inference(scs_inference,[],[i_0_883,i_0_1053,i_0_885,i_0_651,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503]) ).
cnf(i_0_1058,plain,
element(X1,powerset(X1)),
inference(rename_variables,[],[i_0_651]) ).
cnf(i_0_1059,plain,
( ~ element(X1,powerset(powerset(X2)))
| element(complements_of_subsets(X2,X1),powerset(powerset(X2))) ),
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_1060,plain,
element(meet_of_subsets(X1,powerset(X1)),powerset(X1)),
inference(scs_inference,[],[i_0_883,i_0_1053,i_0_885,i_0_651,i_0_1058,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508]) ).
cnf(i_0_1061,plain,
element(X1,powerset(X1)),
inference(rename_variables,[],[i_0_651]) ).
cnf(i_0_1062,plain,
( ~ element(X1,powerset(powerset(X2)))
| element(meet_of_subsets(X2,X1),powerset(X2)) ),
inference(rename_variables,[],[i_0_508]) ).
cnf(i_0_1063,plain,
element(union_of_subsets(X1,powerset(X1)),powerset(X1)),
inference(scs_inference,[],[i_0_883,i_0_1053,i_0_885,i_0_651,i_0_1058,i_0_1061,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509]) ).
cnf(i_0_1064,plain,
element(X1,powerset(X1)),
inference(rename_variables,[],[i_0_651]) ).
cnf(i_0_1065,plain,
( ~ element(X1,powerset(powerset(X2)))
| element(union_of_subsets(X2,X1),powerset(X2)) ),
inference(rename_variables,[],[i_0_509]) ).
cnf(i_0_1066,plain,
element(subset_complement(X1,subset_difference(X1,esk42_1(X1),esk42_1(X1))),powerset(X1)),
inference(scs_inference,[],[i_0_883,i_0_1053,i_0_885,i_0_918,i_0_651,i_0_1058,i_0_1061,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531]) ).
cnf(i_0_1067,plain,
( ~ element(X1,powerset(X2))
| element(subset_complement(X2,X1),powerset(X2)) ),
inference(rename_variables,[],[i_0_531]) ).
cnf(i_0_1068,plain,
in(esk51_2(X1,esk51_2(X1,X1)),esk50_1(X1)),
inference(scs_inference,[],[i_0_883,i_0_1053,i_0_885,i_0_918,i_0_815,i_0_651,i_0_1058,i_0_1061,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532]) ).
cnf(i_0_1069,plain,
( ~ in(X1,esk50_1(X2))
| in(esk51_2(X2,X1),esk50_1(X2)) ),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_1070,plain,
in(X1,set_difference(unordered_pair(X1,X2),empty_set)),
inference(scs_inference,[],[i_0_883,i_0_1053,i_0_885,i_0_792,i_0_918,i_0_815,i_0_651,i_0_1058,i_0_1061,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536]) ).
cnf(i_0_1071,plain,
subset(X1,set_difference(X1,empty_set)),
inference(rename_variables,[],[i_0_792]) ).
cnf(i_0_1072,plain,
( ~ subset(unordered_pair(X1,X2),X3)
| in(X1,X3) ),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1073,plain,
in(X1,set_difference(unordered_pair(X2,X1),empty_set)),
inference(scs_inference,[],[i_0_883,i_0_1053,i_0_885,i_0_792,i_0_1071,i_0_918,i_0_815,i_0_651,i_0_1058,i_0_1061,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537]) ).
cnf(i_0_1074,plain,
subset(X1,set_difference(X1,empty_set)),
inference(rename_variables,[],[i_0_792]) ).
cnf(i_0_1075,plain,
( ~ subset(unordered_pair(X1,X2),X3)
| in(X2,X3) ),
inference(rename_variables,[],[i_0_537]) ).
cnf(i_0_1076,plain,
subset_complement(X1,X1) = set_difference(X1,X1),
inference(scs_inference,[],[i_0_883,i_0_1053,i_0_885,i_0_792,i_0_1071,i_0_918,i_0_815,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573]) ).
cnf(i_0_1077,plain,
( ~ element(X1,powerset(X2))
| subset_complement(X2,X1) = set_difference(X2,X1) ),
inference(rename_variables,[],[i_0_573]) ).
cnf(i_0_1078,plain,
disjoint(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),X1),
inference(scs_inference,[],[i_0_883,i_0_1053,i_0_885,i_0_792,i_0_1071,i_0_918,i_0_815,i_0_1006,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580]) ).
cnf(i_0_1079,plain,
~ in(X1,set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(rename_variables,[],[i_0_1006]) ).
cnf(i_0_1080,plain,
( in(esk46_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_580]) ).
cnf(i_0_1081,plain,
subset(subset_difference(X1,esk42_1(X1),esk42_1(X1)),X1),
inference(scs_inference,[],[i_0_883,i_0_1053,i_0_885,i_0_792,i_0_1071,i_0_918,i_0_815,i_0_1006,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594]) ).
cnf(i_0_1082,plain,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_594]) ).
cnf(i_0_1083,plain,
~ in(unordered_pair(X1,X1),esk8_1(unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_792,i_0_1071,i_0_918,i_0_815,i_0_1006,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601]) ).
cnf(i_0_1084,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1085,plain,
element(esk8_1(unordered_pair(X1,X1)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_792,i_0_1071,i_0_918,i_0_815,i_0_1006,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625]) ).
cnf(i_0_1086,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_625]) ).
cnf(i_0_1087,plain,
~ in(X1,esk38_0),
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_792,i_0_1071,i_0_918,i_0_815,i_0_1006,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633]) ).
cnf(i_0_1088,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_633]) ).
cnf(i_0_1089,plain,
~ in(X1,cartesian_product2(X2,set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_792,i_0_1071,i_0_794,i_0_918,i_0_815,i_0_1006,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743]) ).
cnf(i_0_1090,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1091,plain,
( in(esk13_4(X1,X2,cartesian_product2(X1,X2),X3),X2)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(rename_variables,[],[i_0_743]) ).
cnf(i_0_1092,plain,
~ in(X1,cartesian_product2(set_union2(empty_set,empty_set),X2)),
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_918,i_0_815,i_0_1006,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744]) ).
cnf(i_0_1093,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1094,plain,
( in(esk12_4(X1,X2,cartesian_product2(X1,X2),X3),X1)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(rename_variables,[],[i_0_744]) ).
cnf(i_0_1095,plain,
~ in(X1,union(set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_918,i_0_815,i_0_1006,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754]) ).
cnf(i_0_1096,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1097,plain,
( in(esk22_3(X1,union(X1),X2),X1)
| ~ in(X2,union(X1)) ),
inference(rename_variables,[],[i_0_754]) ).
cnf(i_0_1098,plain,
~ in(esk8_1(unordered_pair(X1,X1)),set_difference(X2,unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_918,i_0_815,i_0_1006,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762]) ).
cnf(i_0_1099,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_762]) ).
cnf(i_0_1100,plain,
relation(set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_918,i_0_815,i_0_1006,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642]) ).
cnf(i_0_1101,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1102,plain,
( in(esk3_1(X1),X1)
| relation(X1) ),
inference(rename_variables,[],[i_0_642]) ).
cnf(i_0_1103,plain,
in(set_union2(X1,X2),powerset(set_union2(X2,X1))),
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_799,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_918,i_0_815,i_0_1006,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773]) ).
cnf(i_0_1104,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_773]) ).
cnf(i_0_1105,plain,
relation_dom(empty_set) = empty_set,
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_799,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_918,i_0_815,i_0_1006,i_0_1026,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646]) ).
cnf(i_0_1106,plain,
subset(relation_dom(empty_set),X1),
inference(rename_variables,[],[i_0_1026]) ).
cnf(i_0_1107,plain,
( ~ subset(X1,empty_set)
| X1 = empty_set ),
inference(rename_variables,[],[i_0_646]) ).
cnf(i_0_1108,plain,
~ empty(esk50_1(set_union2(unordered_pair(X1,empty_set),unordered_pair(X1,empty_set)))),
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_918,i_0_815,i_0_1006,i_0_1026,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673]) ).
cnf(i_0_1109,plain,
esk50_1(set_union2(unordered_pair(X1,X2),unordered_pair(X1,X2))) != X2,
inference(rename_variables,[],[i_0_890]) ).
cnf(i_0_1110,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_673]) ).
cnf(i_0_1111,plain,
subset(esk8_1(unordered_pair(empty_set,empty_set)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_918,i_0_815,i_0_1006,i_0_1026,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608]) ).
cnf(i_0_1112,plain,
esk8_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_883]) ).
cnf(i_0_1113,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_608]) ).
cnf(i_0_1114,plain,
subset(set_union2(empty_set,empty_set),X1),
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_1006,i_0_1026,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582]) ).
cnf(i_0_1115,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1116,plain,
( in(esk17_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_582]) ).
cnf(i_0_1117,plain,
~ in(unordered_pair(X1,X1),set_difference(X2,set_difference(X2,unordered_pair(empty_set,empty_set)))),
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_1006,i_0_1026,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758]) ).
cnf(i_0_1118,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_758]) ).
cnf(i_0_1119,plain,
~ in(unordered_pair(X1,X1),set_difference(set_union2(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set)),X2)),
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_1006,i_0_1026,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764]) ).
cnf(i_0_1120,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_764]) ).
cnf(i_0_1121,plain,
in(esk8_1(unordered_pair(X1,X1)),set_union2(unordered_pair(X1,X1),X2)),
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_1006,i_0_1026,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765]) ).
cnf(i_0_1122,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_765]) ).
cnf(i_0_1123,plain,
in(esk8_1(unordered_pair(X1,X1)),set_union2(X2,unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_779,i_0_883,i_0_1053,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_1006,i_0_1026,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766]) ).
cnf(i_0_1124,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_766]) ).
cnf(i_0_1125,plain,
subset(set_union2(X1,X1),X1),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_1006,i_0_1026,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656]) ).
cnf(i_0_1126,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_656]) ).
cnf(i_0_1127,plain,
disjoint(X1,set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_1006,i_0_1079,i_0_1026,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581]) ).
cnf(i_0_1128,plain,
~ in(X1,set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(rename_variables,[],[i_0_1006]) ).
cnf(i_0_1129,plain,
( in(esk46_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_581]) ).
cnf(i_0_1130,plain,
disjoint(set_difference(X1,X1),X1),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_1006,i_0_1079,i_0_1026,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624]) ).
cnf(i_0_1131,plain,
( ~ disjoint(X1,X2)
| disjoint(X2,X1) ),
inference(rename_variables,[],[i_0_624]) ).
cnf(i_0_1132,plain,
X1 = esk8_1(unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_1006,i_0_1079,i_0_1026,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684]) ).
cnf(i_0_1133,plain,
~ subset(esk8_1(unordered_pair(esk50_1(X1),esk50_1(X1))),empty_set),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_1006,i_0_1079,i_0_1026,i_0_954,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729]) ).
cnf(i_0_1134,plain,
esk8_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_883]) ).
cnf(i_0_1135,plain,
~ subset(esk50_1(X1),esk8_1(unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_1006,i_0_1079,i_0_1026,i_0_954,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730]) ).
cnf(i_0_1136,plain,
esk8_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_883]) ).
cnf(i_0_1137,plain,
~ disjoint(esk8_1(unordered_pair(esk50_1(X1),esk50_1(X1))),esk50_1(X1)),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_1024,i_0_1006,i_0_1079,i_0_1026,i_0_954,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731]) ).
cnf(i_0_1138,plain,
esk8_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_883]) ).
cnf(i_0_1139,plain,
~ disjoint(esk50_1(X1),esk8_1(unordered_pair(esk50_1(X1),esk50_1(X1)))),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_1024,i_0_1006,i_0_1079,i_0_1026,i_0_954,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732]) ).
cnf(i_0_1140,plain,
esk8_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_883]) ).
cnf(i_0_1141,plain,
~ subset(esk50_1(esk50_1(X1)),esk51_2(X1,X1)),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_838,i_0_1024,i_0_1006,i_0_1079,i_0_1026,i_0_954,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542]) ).
cnf(i_0_1142,plain,
~ in(esk50_1(X1),X1),
inference(rename_variables,[],[i_0_838]) ).
cnf(i_0_1143,plain,
( in(X1,esk50_1(X2))
| ~ in(X3,esk50_1(X2))
| ~ subset(X1,X3) ),
inference(rename_variables,[],[i_0_542]) ).
cnf(i_0_1144,plain,
~ subset(esk50_1(esk44_1(X1)),X1),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1024,i_0_1006,i_0_1079,i_0_1026,i_0_954,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543]) ).
cnf(i_0_1145,plain,
~ in(esk50_1(X1),X1),
inference(rename_variables,[],[i_0_838]) ).
cnf(i_0_1146,plain,
( in(X1,esk44_1(X2))
| ~ in(X3,esk44_1(X2))
| ~ subset(X1,X3) ),
inference(rename_variables,[],[i_0_543]) ).
cnf(i_0_1147,plain,
in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),cartesian_product2(esk50_1(X1),esk50_1(X1))),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1024,i_0_1016,i_0_1006,i_0_1079,i_0_1026,i_0_954,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759]) ).
cnf(i_0_1148,plain,
( ~ in(X1,set_union2(X2,X3))
| in(X1,X2)
| in(X1,X3) ),
inference(rename_variables,[],[i_0_759]) ).
cnf(i_0_1149,plain,
~ subset(esk50_1(X1),set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1024,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_1026,i_0_954,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574]) ).
cnf(i_0_1150,plain,
disjoint(set_union2(empty_set,empty_set),X1),
inference(rename_variables,[],[i_0_840]) ).
cnf(i_0_1151,plain,
( ~ disjoint(X1,X2)
| disjoint(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_574]) ).
cnf(i_0_1152,plain,
~ subset(esk50_1(esk44_1(set_union2(X1,X2))),set_union2(X2,X1)),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1024,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_1026,i_0_954,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575]) ).
cnf(i_0_1153,plain,
( ~ subset(X1,X2)
| subset(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_575]) ).
cnf(i_0_1154,plain,
esk42_1(esk40_0) = empty_set,
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1024,i_0_848,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_942,i_0_1026,i_0_954,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465]) ).
cnf(i_0_1155,plain,
~ in(X1,esk42_1(esk40_0)),
inference(rename_variables,[],[i_0_942]) ).
cnf(i_0_1156,plain,
relation(esk42_1(X1)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_1157,plain,
( in(unordered_pair(unordered_pair(esk48_1(X1),esk49_1(X1)),unordered_pair(esk48_1(X1),esk48_1(X1))),X1)
| X1 = empty_set
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_465]) ).
cnf(i_0_1158,plain,
set_difference(X1,set_difference(X1,empty_set)) = set_union2(empty_set,empty_set),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_885,i_0_874,i_0_781,i_0_799,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1024,i_0_848,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_942,i_0_1026,i_0_954,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527]) ).
cnf(i_0_1159,plain,
~ in(X1,set_difference(X2,set_difference(X2,empty_set))),
inference(rename_variables,[],[i_0_859]) ).
cnf(i_0_1160,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1161,plain,
( in(esk45_2(X1,X2),X1)
| in(esk45_2(X1,X2),X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1162,plain,
esk50_1(set_union2(unordered_pair(empty_set,X1),unordered_pair(empty_set,X1))) != set_meet(cartesian_product2(X2,empty_set)),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1024,i_0_848,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_942,i_0_1026,i_0_954,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667]) ).
cnf(i_0_1163,plain,
esk50_1(set_union2(unordered_pair(X1,X2),unordered_pair(X1,X2))) != X1,
inference(rename_variables,[],[i_0_887]) ).
cnf(i_0_1164,plain,
( X1 != empty_set
| X2 = empty_set
| X2 != set_meet(X1) ),
inference(rename_variables,[],[i_0_667]) ).
cnf(i_0_1165,plain,
esk11_3(empty_set,empty_set,unordered_pair(X1,X1)) = X1,
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1024,i_0_848,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767]) ).
cnf(i_0_1166,plain,
( ~ in(X1,unordered_pair(X2,X3))
| X1 = X2
| X1 = X3 ),
inference(rename_variables,[],[i_0_767]) ).
cnf(i_0_1167,plain,
esk50_1(set_union2(unordered_pair(X1,X2),empty_set)) != X1,
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1024,i_0_848,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610]) ).
cnf(i_0_1168,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1169,plain,
~ in(esk50_1(X1),X1),
inference(rename_variables,[],[i_0_838]) ).
cnf(i_0_1170,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X2 ),
inference(rename_variables,[],[i_0_610]) ).
cnf(i_0_1171,plain,
esk50_1(set_union2(unordered_pair(X1,X2),empty_set)) != X2,
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1024,i_0_848,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611]) ).
cnf(i_0_1172,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1173,plain,
~ in(esk50_1(X1),X1),
inference(rename_variables,[],[i_0_838]) ).
cnf(i_0_1174,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X3 ),
inference(rename_variables,[],[i_0_611]) ).
cnf(i_0_1175,plain,
esk8_1(unordered_pair(empty_set,empty_set)) = set_meet(esk8_1(unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1024,i_0_848,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671]) ).
cnf(i_0_1176,plain,
esk8_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_883]) ).
cnf(i_0_1177,plain,
( X1 != empty_set
| X2 != empty_set
| X1 = set_meet(X2) ),
inference(rename_variables,[],[i_0_671]) ).
cnf(i_0_1178,plain,
~ in(X1,set_union2(cartesian_product2(X2,set_union2(empty_set,empty_set)),empty_set)),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1024,i_0_848,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435]) ).
cnf(i_0_1179,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1180,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1181,plain,
( X1 != cartesian_product2(X2,X3)
| in(esk13_4(X2,X3,X1,X4),X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_435]) ).
cnf(i_0_1182,plain,
~ in(X1,set_union2(cartesian_product2(set_union2(empty_set,empty_set),X2),empty_set)),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1024,i_0_848,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436]) ).
cnf(i_0_1183,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1184,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1185,plain,
( X1 != cartesian_product2(X2,X3)
| in(esk12_4(X2,X3,X1,X4),X2)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_436]) ).
cnf(i_0_1186,plain,
set_union2(empty_set,empty_set) = cartesian_product2(X1,empty_set),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_776,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1024,i_0_848,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457]) ).
cnf(i_0_1187,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1188,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_1189,plain,
( in(esk14_3(X1,X2,X3),X3)
| X3 = cartesian_product2(X1,X2)
| in(esk16_3(X1,X2,X3),X2) ),
inference(rename_variables,[],[i_0_457]) ).
cnf(i_0_1190,plain,
set_union2(empty_set,empty_set) = cartesian_product2(empty_set,X1),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_776,i_0_1188,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1024,i_0_848,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458]) ).
cnf(i_0_1191,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1192,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_1193,plain,
( in(esk14_3(X1,X2,X3),X3)
| X3 = cartesian_product2(X1,X2)
| in(esk15_3(X1,X2,X3),X1) ),
inference(rename_variables,[],[i_0_458]) ).
cnf(i_0_1194,plain,
element(subset_difference(X1,subset_difference(X1,esk42_1(X1),esk42_1(X1)),subset_difference(X1,esk42_1(X1),esk42_1(X1))),powerset(X1)),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_776,i_0_1188,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1024,i_0_848,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477]) ).
cnf(i_0_1195,plain,
( ~ element(X1,powerset(X2))
| ~ element(X3,powerset(X2))
| element(subset_difference(X2,X1,X3),powerset(X2)) ),
inference(rename_variables,[],[i_0_477]) ).
cnf(i_0_1196,plain,
~ in(X1,set_union2(union(set_union2(empty_set,empty_set)),empty_set)),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_776,i_0_1188,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1024,i_0_848,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484]) ).
cnf(i_0_1197,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1198,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1199,plain,
( X1 != union(X2)
| in(esk22_3(X2,X1,X3),X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_484]) ).
cnf(i_0_1200,plain,
~ in(esk8_1(unordered_pair(X1,X1)),subset_complement(unordered_pair(X1,X1),unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_776,i_0_1188,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1024,i_0_848,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496]) ).
cnf(i_0_1201,plain,
element(X1,powerset(X1)),
inference(rename_variables,[],[i_0_651]) ).
cnf(i_0_1202,plain,
( ~ element(X1,powerset(X2))
| ~ in(X3,subset_complement(X2,X1))
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_1203,plain,
~ subset(esk50_1(esk51_2(X1,esk51_2(X1,X1))),esk51_2(X1,X1)),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_776,i_0_1188,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1024,i_0_848,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510]) ).
cnf(i_0_1204,plain,
~ in(esk50_1(X1),X1),
inference(rename_variables,[],[i_0_838]) ).
cnf(i_0_1205,plain,
( ~ in(X1,esk50_1(X2))
| in(X3,esk51_2(X2,X1))
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_510]) ).
cnf(i_0_1206,plain,
set_union2(empty_set,empty_set) = union(empty_set),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1024,i_0_848,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522]) ).
cnf(i_0_1207,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1208,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_1209,plain,
( in(esk23_2(X1,X2),X2)
| X2 = union(X1)
| in(esk24_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_522]) ).
cnf(i_0_1210,plain,
~ in(esk50_1(powerset(X1)),complements_of_subsets(X1,esk42_1(powerset(X1)))),
inference(scs_inference,[],[i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1024,i_0_848,i_0_801,i_0_1016,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553]) ).
cnf(i_0_1211,plain,
~ in(esk50_1(X1),X1),
inference(rename_variables,[],[i_0_838]) ).
cnf(i_0_1212,plain,
( ~ element(X1,powerset(X2))
| ~ in(X3,X1)
| in(X3,X2) ),
inference(rename_variables,[],[i_0_553]) ).
cnf(i_0_1213,plain,
~ in(X1,set_difference(set_difference(esk50_1(X1),esk50_1(X1)),set_difference(set_difference(esk50_1(X1),esk50_1(X1)),esk50_1(X1)))),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1024,i_0_848,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554]) ).
cnf(i_0_1214,plain,
set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1215,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_554]) ).
cnf(i_0_1216,plain,
~ in(X1,subset_difference(esk38_0,esk42_1(esk38_0),esk42_1(esk38_0))),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1024,i_0_848,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568]) ).
cnf(i_0_1217,plain,
element(subset_difference(X1,esk42_1(X1),esk42_1(X1)),powerset(X1)),
inference(rename_variables,[],[i_0_918]) ).
cnf(i_0_1218,plain,
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_568]) ).
cnf(i_0_1219,plain,
~ subset(unordered_pair(X1,X1),set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1024,i_0_848,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576]) ).
cnf(i_0_1220,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1221,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_576]) ).
cnf(i_0_1222,plain,
~ in(esk50_1(X1),esk8_1(unordered_pair(powerset(empty_set),powerset(empty_set)))),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1024,i_0_848,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_680,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597]) ).
cnf(i_0_1223,plain,
esk8_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_883]) ).
cnf(i_0_1224,plain,
( X1 != powerset(X2)
| subset(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_597]) ).
cnf(i_0_1225,plain,
in(esk36_1(esk41_0),esk41_0),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_885,i_0_874,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1024,i_0_848,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614]) ).
cnf(i_0_1226,plain,
element(esk36_1(X1),X1),
inference(rename_variables,[],[i_0_650]) ).
cnf(i_0_1227,plain,
( empty(X1)
| ~ element(X2,X1)
| in(X2,X1) ),
inference(rename_variables,[],[i_0_614]) ).
cnf(i_0_1228,plain,
~ element(esk50_1(set_union2(unordered_pair(empty_set,X1),unordered_pair(empty_set,X1))),esk38_0),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1024,i_0_848,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631]) ).
cnf(i_0_1229,plain,
( ~ empty(X1)
| empty(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_631]) ).
cnf(i_0_1230,plain,
element(esk38_0,esk38_0),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1024,i_0_848,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634]) ).
cnf(i_0_1231,plain,
( ~ empty(X1)
| ~ empty(X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_634]) ).
cnf(i_0_1232,plain,
~ in(X1,relation_dom(set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1024,i_0_848,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742]) ).
cnf(i_0_1233,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1234,plain,
( in(unordered_pair(unordered_pair(X1,esk19_3(X2,relation_dom(X2),X1)),unordered_pair(X1,X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_742]) ).
cnf(i_0_1235,plain,
in(esk8_1(unordered_pair(X1,X1)),set_difference(unordered_pair(X1,X1),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1024,i_0_848,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760]) ).
cnf(i_0_1236,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1237,plain,
( ~ in(X1,X2)
| in(X1,X3)
| in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_760]) ).
cnf(i_0_1238,plain,
~ in(esk50_1(union(unordered_pair(X1,X1))),esk8_1(unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_815,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1024,i_0_848,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763]) ).
cnf(i_0_1239,plain,
~ in(esk50_1(X1),X1),
inference(rename_variables,[],[i_0_838]) ).
cnf(i_0_1240,plain,
( ~ in(X1,X2)
| in(X3,union(X2))
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_763]) ).
cnf(i_0_1241,plain,
esk42_1(relation_dom(empty_set)) = relation_dom(empty_set),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1024,i_0_848,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593]) ).
cnf(i_0_1242,plain,
subset(esk42_1(X1),X1),
inference(rename_variables,[],[i_0_836]) ).
cnf(i_0_1243,plain,
subset(relation_dom(empty_set),X1),
inference(rename_variables,[],[i_0_1026]) ).
cnf(i_0_1244,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_593]) ).
cnf(i_0_1245,plain,
~ in(set_union2(esk43_0,esk43_0),subset_difference(esk40_0,esk42_1(esk40_0),esk42_1(esk40_0))),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1030,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1024,i_0_848,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552]) ).
cnf(i_0_1246,plain,
element(subset_difference(X1,esk42_1(X1),esk42_1(X1)),powerset(X1)),
inference(rename_variables,[],[i_0_918]) ).
cnf(i_0_1247,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1248,plain,
~ in(esk50_1(esk42_1(X1)),subset_difference(X1,esk42_1(X1),esk42_1(X1))),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1030,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569]) ).
cnf(i_0_1249,plain,
~ in(esk50_1(X1),X1),
inference(rename_variables,[],[i_0_838]) ).
cnf(i_0_1250,plain,
( X1 != set_difference(X2,X3)
| in(X4,X2)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_1251,plain,
~ subset(esk50_1(set_union2(powerset(X1),empty_set)),X1),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1030,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598]) ).
cnf(i_0_1252,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1253,plain,
~ in(esk50_1(X1),X1),
inference(rename_variables,[],[i_0_838]) ).
cnf(i_0_1254,plain,
( X1 != powerset(X2)
| in(X3,X1)
| ~ subset(X3,X2) ),
inference(rename_variables,[],[i_0_598]) ).
cnf(i_0_1255,plain,
~ in(esk50_1(set_union2(set_union2(X1,X2),empty_set)),X1),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1030,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570]) ).
cnf(i_0_1256,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1257,plain,
~ in(esk50_1(X1),X1),
inference(rename_variables,[],[i_0_838]) ).
cnf(i_0_1258,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_570]) ).
cnf(i_0_1259,plain,
~ in(esk50_1(set_union2(set_union2(X1,X2),empty_set)),X2),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1030,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571]) ).
cnf(i_0_1260,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1261,plain,
~ in(esk50_1(X1),X1),
inference(rename_variables,[],[i_0_838]) ).
cnf(i_0_1262,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X3) ),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_1263,plain,
unordered_pair(X1,X1) != esk8_1(unordered_pair(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1030,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685]) ).
cnf(i_0_1264,plain,
esk8_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_883]) ).
cnf(i_0_1265,plain,
relation(set_union2(set_difference(esk41_0,empty_set),set_difference(esk41_0,empty_set))),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_900,i_0_1030,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725]) ).
cnf(i_0_1266,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_783]) ).
cnf(i_0_1267,plain,
~ element(esk8_1(unordered_pair(esk43_0,esk43_0)),set_union2(esk40_0,esk40_0)),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726]) ).
cnf(i_0_1268,plain,
esk8_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_883]) ).
cnf(i_0_1269,plain,
~ element(set_union2(esk43_0,esk43_0),esk8_1(unordered_pair(esk40_0,esk40_0))),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727]) ).
cnf(i_0_1270,plain,
esk8_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_883]) ).
cnf(i_0_1271,plain,
esk38_0 != esk50_1(set_union2(unordered_pair(empty_set,X1),unordered_pair(empty_set,X1))),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728]) ).
cnf(i_0_1272,plain,
~ in(esk8_1(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1))),set_union2(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723]) ).
cnf(i_0_1273,plain,
esk8_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_883]) ).
cnf(i_0_1274,plain,
~ in(unordered_pair(X1,X1),esk8_1(unordered_pair(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set)))),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724]) ).
cnf(i_0_1275,plain,
esk8_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_883]) ).
cnf(i_0_1276,plain,
~ in(esk50_1(esk8_1(unordered_pair(X1,X1))),set_meet(unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_644,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761]) ).
cnf(i_0_1277,plain,
unordered_pair(X1,X1) != empty_set,
inference(rename_variables,[],[i_0_644]) ).
cnf(i_0_1278,plain,
~ in(esk50_1(X1),X1),
inference(rename_variables,[],[i_0_838]) ).
cnf(i_0_1279,plain,
( X1 = empty_set
| ~ in(X2,set_meet(X1))
| ~ in(X3,X1)
| in(X2,X3) ),
inference(rename_variables,[],[i_0_761]) ).
cnf(i_0_1280,plain,
empty_set = relation_rng(set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_644,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432]) ).
cnf(i_0_1281,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1282,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_1283,plain,
( in(unordered_pair(unordered_pair(esk28_2(X1,X2),esk27_2(X1,X2)),unordered_pair(esk28_2(X1,X2),esk28_2(X1,X2))),X1)
| in(esk27_2(X1,X2),X2)
| X2 = relation_rng(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_432]) ).
cnf(i_0_1284,plain,
empty_set = relation_dom(set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_644,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433]) ).
cnf(i_0_1285,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1286,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_1287,plain,
( in(unordered_pair(unordered_pair(esk20_2(X1,X2),esk21_2(X1,X2)),unordered_pair(esk20_2(X1,X2),esk20_2(X1,X2))),X1)
| in(esk20_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_433]) ).
cnf(i_0_1288,plain,
~ in(X1,esk8_1(unordered_pair(relation_dom(empty_set),relation_dom(empty_set)))),
inference(scs_inference,[],[i_0_530,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_644,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434]) ).
cnf(i_0_1289,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_1290,plain,
esk8_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_883]) ).
cnf(i_0_1291,plain,
( in(unordered_pair(unordered_pair(X1,esk19_3(X2,X3,X1)),unordered_pair(X1,X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rename_variables,[],[i_0_434]) ).
cnf(i_0_1292,plain,
in(esk8_1(unordered_pair(X1,X1)),set_difference(unordered_pair(X1,X1),set_difference(unordered_pair(X1,X1),unordered_pair(X1,X1)))),
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_644,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_675,i_0_680,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495]) ).
cnf(i_0_1293,plain,
set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1294,plain,
( X1 != set_difference(X2,set_difference(X2,X3))
| ~ in(X4,X3)
| ~ in(X4,X2)
| in(X4,X1) ),
inference(rename_variables,[],[i_0_495]) ).
cnf(i_0_1295,plain,
~ in(unordered_pair(X1,X1),set_union2(set_union2(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set)),set_union2(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set)))),
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_644,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_675,i_0_680,i_0_637,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495,i_0_540]) ).
cnf(i_0_1296,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(rename_variables,[],[i_0_637]) ).
cnf(i_0_1297,plain,
( X1 != set_union2(X2,X3)
| in(X4,X2)
| in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_540]) ).
cnf(i_0_1298,plain,
~ in(unordered_pair(X1,X1),set_union2(unordered_pair(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),empty_set)),
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_644,i_0_918,i_0_1217,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_1260,i_0_675,i_0_680,i_0_637,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495,i_0_540,i_0_588]) ).
cnf(i_0_1299,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1300,plain,
( X1 != unordered_pair(X2,X3)
| X4 = X2
| X4 = X3
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_588]) ).
cnf(i_0_1301,plain,
subset(subset_difference(empty_set,esk42_1(empty_set),esk42_1(empty_set)),subset_complement(empty_set,empty_set)),
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_790,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_644,i_0_918,i_0_1217,i_0_1246,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_1260,i_0_675,i_0_680,i_0_637,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_1201,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495,i_0_540,i_0_588,i_0_494]) ).
cnf(i_0_1302,plain,
element(X1,powerset(X1)),
inference(rename_variables,[],[i_0_651]) ).
cnf(i_0_1303,plain,
element(subset_difference(X1,esk42_1(X1),esk42_1(X1)),powerset(X1)),
inference(rename_variables,[],[i_0_918]) ).
cnf(i_0_1304,plain,
disjoint(X1,empty_set),
inference(rename_variables,[],[i_0_790]) ).
cnf(i_0_1305,plain,
( ~ element(X1,powerset(X2))
| ~ element(X3,powerset(X2))
| subset(X3,subset_complement(X2,X1))
| ~ disjoint(X3,X1) ),
inference(rename_variables,[],[i_0_494]) ).
cnf(i_0_1306,plain,
set_union2(empty_set,empty_set) = relation_inverse(empty_set),
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_1285,i_0_790,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_1289,i_0_644,i_0_918,i_0_1217,i_0_1246,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_1260,i_0_675,i_0_680,i_0_637,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_1201,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495,i_0_540,i_0_588,i_0_494,i_0_426]) ).
cnf(i_0_1307,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1308,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_1309,plain,
( in(unordered_pair(unordered_pair(esk29_2(X1,X2),esk30_2(X1,X2)),unordered_pair(esk29_2(X1,X2),esk29_2(X1,X2))),X2)
| in(unordered_pair(unordered_pair(esk30_2(X1,X2),esk29_2(X1,X2)),unordered_pair(esk30_2(X1,X2),esk30_2(X1,X2))),X1)
| X2 = relation_inverse(X1)
| ~ relation(X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_426]) ).
cnf(i_0_1310,plain,
set_union2(empty_set,empty_set) = relation_composition(set_difference(esk41_0,empty_set),empty_set),
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_1285,i_0_1307,i_0_790,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_1289,i_0_1308,i_0_644,i_0_918,i_0_1217,i_0_1246,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_1260,i_0_675,i_0_680,i_0_637,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_1201,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495,i_0_540,i_0_588,i_0_494,i_0_426,i_0_422]) ).
cnf(i_0_1311,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1312,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_1313,plain,
( in(unordered_pair(unordered_pair(esk32_3(X1,X2,X3),esk33_3(X1,X2,X3)),unordered_pair(esk32_3(X1,X2,X3),esk32_3(X1,X2,X3))),X3)
| in(unordered_pair(unordered_pair(esk34_3(X1,X2,X3),esk33_3(X1,X2,X3)),unordered_pair(esk34_3(X1,X2,X3),esk34_3(X1,X2,X3))),X2)
| X3 = relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_422]) ).
cnf(i_0_1314,plain,
set_union2(empty_set,empty_set) = relation_composition(empty_set,set_difference(esk41_0,empty_set)),
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_1285,i_0_1307,i_0_1311,i_0_790,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_1289,i_0_1308,i_0_1312,i_0_644,i_0_918,i_0_1217,i_0_1246,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_1260,i_0_675,i_0_680,i_0_637,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_1201,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495,i_0_540,i_0_588,i_0_494,i_0_426,i_0_422,i_0_423]) ).
cnf(i_0_1315,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1316,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_1317,plain,
( in(unordered_pair(unordered_pair(esk32_3(X1,X2,X3),esk33_3(X1,X2,X3)),unordered_pair(esk32_3(X1,X2,X3),esk32_3(X1,X2,X3))),X3)
| in(unordered_pair(unordered_pair(esk32_3(X1,X2,X3),esk34_3(X1,X2,X3)),unordered_pair(esk32_3(X1,X2,X3),esk32_3(X1,X2,X3))),X1)
| X3 = relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_423]) ).
cnf(i_0_1318,plain,
relation_rng(empty_set) != empty_set,
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_1285,i_0_1307,i_0_1311,i_0_790,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_1289,i_0_1308,i_0_1312,i_0_644,i_0_918,i_0_1217,i_0_1246,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_1260,i_0_675,i_0_680,i_0_637,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_1201,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495,i_0_540,i_0_588,i_0_494,i_0_426,i_0_422,i_0_423,i_0_672]) ).
cnf(i_0_1319,plain,
~ in(X1,set_difference(unordered_pair(X1,X1),unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_1285,i_0_1307,i_0_1311,i_0_790,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_1289,i_0_1308,i_0_1312,i_0_644,i_0_918,i_0_1217,i_0_1246,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_1260,i_0_675,i_0_680,i_0_637,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_1201,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495,i_0_540,i_0_588,i_0_494,i_0_426,i_0_422,i_0_423,i_0_672,i_0_521]) ).
cnf(i_0_1320,plain,
( ~ disjoint(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_521]) ).
cnf(i_0_1321,plain,
in(esk8_1(relation_rng(empty_set)),relation_rng(empty_set)),
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_1285,i_0_1307,i_0_1311,i_0_790,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_1289,i_0_1308,i_0_1312,i_0_644,i_0_918,i_0_1217,i_0_1246,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_1260,i_0_675,i_0_680,i_0_637,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_1201,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495,i_0_540,i_0_588,i_0_494,i_0_426,i_0_422,i_0_423,i_0_672,i_0_521,i_0_645]) ).
cnf(i_0_1322,plain,
( X1 = empty_set
| in(esk8_1(X1),X1) ),
inference(rename_variables,[],[i_0_645]) ).
cnf(i_0_1323,plain,
~ disjoint(unordered_pair(X1,X1),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_1285,i_0_1307,i_0_1311,i_0_790,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_1289,i_0_1308,i_0_1312,i_0_644,i_0_918,i_0_1217,i_0_1246,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_1260,i_0_675,i_0_680,i_0_637,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_1201,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495,i_0_540,i_0_588,i_0_494,i_0_426,i_0_422,i_0_423,i_0_672,i_0_521,i_0_645,i_0_482]) ).
cnf(i_0_1324,plain,
( ~ in(X1,set_difference(X2,set_difference(X2,X3)))
| ~ disjoint(X2,X3) ),
inference(rename_variables,[],[i_0_482]) ).
cnf(i_0_1325,plain,
( ~ relation(cartesian_product2(esk50_1(X1),esk50_1(X1)))
| in(X1,relation_field(cartesian_product2(esk50_1(X1),esk50_1(X1)))) ),
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_1285,i_0_1307,i_0_1311,i_0_790,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_1289,i_0_1308,i_0_1312,i_0_644,i_0_918,i_0_1217,i_0_1246,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_1260,i_0_675,i_0_680,i_0_637,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_1201,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495,i_0_540,i_0_588,i_0_494,i_0_426,i_0_422,i_0_423,i_0_672,i_0_521,i_0_645,i_0_482,i_0_461]) ).
cnf(i_0_1326,plain,
( ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)
| in(X1,relation_field(X3))
| ~ relation(X3) ),
inference(rename_variables,[],[i_0_461]) ).
cnf(i_0_1327,plain,
( ~ relation(cartesian_product2(esk50_1(X1),esk50_1(X1)))
| in(X1,relation_rng(cartesian_product2(esk50_1(X1),esk50_1(X1)))) ),
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_1285,i_0_1307,i_0_1311,i_0_790,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_1289,i_0_1308,i_0_1312,i_0_644,i_0_918,i_0_1217,i_0_1246,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_1260,i_0_675,i_0_680,i_0_637,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_1201,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495,i_0_540,i_0_588,i_0_494,i_0_426,i_0_422,i_0_423,i_0_672,i_0_521,i_0_645,i_0_482,i_0_461,i_0_463]) ).
cnf(i_0_1328,plain,
( ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)
| in(X2,relation_rng(X3))
| ~ relation(X3) ),
inference(rename_variables,[],[i_0_463]) ).
cnf(i_0_1329,plain,
( ~ relation(cartesian_product2(esk50_1(X1),esk50_1(X1)))
| in(X1,relation_dom(cartesian_product2(esk50_1(X1),esk50_1(X1)))) ),
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_1285,i_0_1307,i_0_1311,i_0_790,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_1289,i_0_1308,i_0_1312,i_0_644,i_0_918,i_0_1217,i_0_1246,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_1260,i_0_675,i_0_680,i_0_637,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_1201,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495,i_0_540,i_0_588,i_0_494,i_0_426,i_0_422,i_0_423,i_0_672,i_0_521,i_0_645,i_0_482,i_0_461,i_0_463,i_0_464]) ).
cnf(i_0_1330,plain,
( ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)
| in(X1,relation_dom(X3))
| ~ relation(X3) ),
inference(rename_variables,[],[i_0_464]) ).
cnf(i_0_1331,plain,
( ~ in(esk50_1(set_difference(X1,set_difference(X1,X2))),X2)
| ~ in(esk50_1(set_difference(X1,set_difference(X1,X2))),X1) ),
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_1285,i_0_1307,i_0_1311,i_0_790,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_1289,i_0_1308,i_0_1312,i_0_644,i_0_918,i_0_1217,i_0_1246,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1278,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_1260,i_0_675,i_0_680,i_0_637,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_1201,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495,i_0_540,i_0_588,i_0_494,i_0_426,i_0_422,i_0_423,i_0_672,i_0_521,i_0_645,i_0_482,i_0_461,i_0_463,i_0_464,i_0_757]) ).
cnf(i_0_1332,plain,
~ in(esk50_1(X1),X1),
inference(rename_variables,[],[i_0_838]) ).
cnf(i_0_1333,plain,
( in(X1,set_difference(X2,set_difference(X2,X3)))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_757]) ).
cnf(i_0_1334,plain,
( ~ in(X1,union_of_subsets(X2,powerset(X2)))
| in(X1,esk22_3(powerset(X2),union_of_subsets(X2,powerset(X2)),X1)) ),
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_1285,i_0_1307,i_0_1311,i_0_790,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_1289,i_0_1308,i_0_1312,i_0_644,i_0_918,i_0_1217,i_0_1246,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1278,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_826,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_1260,i_0_675,i_0_680,i_0_637,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_1201,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495,i_0_540,i_0_588,i_0_494,i_0_426,i_0_422,i_0_423,i_0_672,i_0_521,i_0_645,i_0_482,i_0_461,i_0_463,i_0_464,i_0_757,i_0_485]) ).
cnf(i_0_1335,plain,
( X1 != union(X2)
| in(X3,esk22_3(X2,X1,X3))
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_485]) ).
cnf(i_0_1336,plain,
( disjoint(subset_difference(X1,esk42_1(X1),esk42_1(X1)),subset_difference(X1,esk42_1(X1),esk42_1(X1)))
| ~ subset(subset_difference(X1,esk42_1(X1),esk42_1(X1)),subset_complement(X1,subset_difference(X1,esk42_1(X1),esk42_1(X1)))) ),
inference(scs_inference,[],[i_0_530,i_0_1214,i_0_779,i_0_783,i_0_883,i_0_1053,i_0_1112,i_0_1134,i_0_1136,i_0_1138,i_0_1140,i_0_1176,i_0_1223,i_0_1264,i_0_1268,i_0_1270,i_0_1273,i_0_1275,i_0_885,i_0_874,i_0_1022,i_0_781,i_0_871,i_0_799,i_0_887,i_0_890,i_0_792,i_0_1071,i_0_794,i_0_1090,i_0_1093,i_0_1096,i_0_1101,i_0_1115,i_0_1160,i_0_1180,i_0_1184,i_0_1187,i_0_1191,i_0_1198,i_0_1207,i_0_1220,i_0_1233,i_0_1236,i_0_1281,i_0_1285,i_0_1307,i_0_1311,i_0_790,i_0_900,i_0_1030,i_0_1032,i_0_776,i_0_1188,i_0_1192,i_0_1208,i_0_1282,i_0_1286,i_0_1289,i_0_1308,i_0_1312,i_0_644,i_0_918,i_0_1217,i_0_1246,i_0_1303,i_0_815,i_0_836,i_0_838,i_0_1142,i_0_1145,i_0_1169,i_0_1173,i_0_1204,i_0_1211,i_0_1239,i_0_1249,i_0_1253,i_0_1257,i_0_1261,i_0_1278,i_0_1024,i_0_848,i_0_924,i_0_801,i_0_826,i_0_1016,i_0_1003,i_0_1006,i_0_1079,i_0_840,i_0_859,i_0_996,i_0_942,i_0_1026,i_0_1106,i_0_954,i_0_664,i_0_1168,i_0_1172,i_0_1179,i_0_1183,i_0_1197,i_0_1252,i_0_1256,i_0_1260,i_0_675,i_0_680,i_0_637,i_0_650,i_0_651,i_0_1058,i_0_1061,i_0_1064,i_0_1201,i_0_653,i_0_615,i_0_678,i_0_768,i_0_619,i_0_641,i_0_655,i_0_503,i_0_508,i_0_509,i_0_531,i_0_532,i_0_536,i_0_537,i_0_573,i_0_580,i_0_594,i_0_601,i_0_625,i_0_633,i_0_743,i_0_744,i_0_754,i_0_762,i_0_642,i_0_773,i_0_646,i_0_673,i_0_608,i_0_582,i_0_758,i_0_764,i_0_765,i_0_766,i_0_656,i_0_581,i_0_624,i_0_684,i_0_729,i_0_730,i_0_731,i_0_732,i_0_542,i_0_543,i_0_759,i_0_574,i_0_575,i_0_465,i_0_527,i_0_667,i_0_767,i_0_610,i_0_611,i_0_671,i_0_435,i_0_436,i_0_457,i_0_458,i_0_477,i_0_484,i_0_496,i_0_510,i_0_522,i_0_553,i_0_554,i_0_568,i_0_576,i_0_597,i_0_614,i_0_631,i_0_634,i_0_742,i_0_760,i_0_763,i_0_593,i_0_552,i_0_569,i_0_598,i_0_570,i_0_571,i_0_685,i_0_725,i_0_726,i_0_727,i_0_728,i_0_723,i_0_724,i_0_761,i_0_432,i_0_433,i_0_434,i_0_495,i_0_540,i_0_588,i_0_494,i_0_426,i_0_422,i_0_423,i_0_672,i_0_521,i_0_645,i_0_482,i_0_461,i_0_463,i_0_464,i_0_757,i_0_485,i_0_487]) ).
cnf(i_0_1337,plain,
( ~ element(X1,powerset(X2))
| ~ element(X3,powerset(X2))
| ~ subset(X3,subset_complement(X2,X1))
| disjoint(X3,X1) ),
inference(rename_variables,[],[i_0_487]) ).
cnf(i_0_1338,plain,
~ in(esk50_1(esk44_1(union(X1))),X1),
inference(scs_inference,[],[i_0_1144,i_0_606]) ).
cnf(i_0_1339,plain,
~ subset(esk50_1(esk44_1(X1)),X1),
inference(rename_variables,[],[i_0_1144]) ).
cnf(i_0_1340,plain,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_606]) ).
cnf(i_0_1341,plain,
~ in(relation_rng(empty_set),unordered_pair(empty_set,empty_set)),
inference(scs_inference,[],[i_0_1318,i_0_1144,i_0_606,i_0_768]) ).
cnf(i_0_1342,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_768]) ).
cnf(i_0_1343,plain,
~ in(X1,esk11_3(empty_set,empty_set,unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_1318,i_0_1165,i_0_1144,i_0_606,i_0_768,i_0_641]) ).
cnf(i_0_1344,plain,
esk11_3(empty_set,empty_set,unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_1165]) ).
cnf(i_0_1345,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_641]) ).
cnf(i_0_1346,plain,
element(subset_complement(X1,subset_complement(X1,esk42_1(X1))),powerset(X1)),
inference(scs_inference,[],[i_0_1318,i_0_1165,i_0_813,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531]) ).
cnf(i_0_1347,plain,
( ~ element(X1,powerset(X2))
| element(subset_complement(X2,X1),powerset(X2)) ),
inference(rename_variables,[],[i_0_531]) ).
cnf(i_0_1348,plain,
in(esk51_2(X1,esk51_2(X1,esk51_2(X1,X1))),esk50_1(X1)),
inference(scs_inference,[],[i_0_1318,i_0_1165,i_0_1068,i_0_813,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532]) ).
cnf(i_0_1349,plain,
( ~ in(X1,esk50_1(X2))
| in(esk51_2(X2,X1),esk50_1(X2)) ),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_1350,plain,
in(X1,set_union2(unordered_pair(X1,X2),X3)),
inference(scs_inference,[],[i_0_1318,i_0_1165,i_0_617,i_0_1068,i_0_813,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536]) ).
cnf(i_0_1351,plain,
subset(X1,set_union2(X1,X2)),
inference(rename_variables,[],[i_0_617]) ).
cnf(i_0_1352,plain,
( ~ subset(unordered_pair(X1,X2),X3)
| in(X1,X3) ),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1353,plain,
in(X1,set_union2(unordered_pair(X2,X1),X3)),
inference(scs_inference,[],[i_0_1318,i_0_1165,i_0_617,i_0_1351,i_0_1068,i_0_813,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537]) ).
cnf(i_0_1354,plain,
subset(X1,set_union2(X1,X2)),
inference(rename_variables,[],[i_0_617]) ).
cnf(i_0_1355,plain,
( ~ subset(unordered_pair(X1,X2),X3)
| in(X2,X3) ),
inference(rename_variables,[],[i_0_537]) ).
cnf(i_0_1356,plain,
subset(subset_difference(X1,subset_difference(X1,esk42_1(X1),esk42_1(X1)),subset_difference(X1,esk42_1(X1),esk42_1(X1))),X1),
inference(scs_inference,[],[i_0_1318,i_0_1165,i_0_617,i_0_1351,i_0_1194,i_0_1068,i_0_813,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537,i_0_594]) ).
cnf(i_0_1357,plain,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_594]) ).
cnf(i_0_1358,plain,
~ in(relation_rng(empty_set),esk8_1(relation_rng(empty_set))),
inference(scs_inference,[],[i_0_1318,i_0_1165,i_0_1321,i_0_617,i_0_1351,i_0_1194,i_0_1068,i_0_813,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537,i_0_594,i_0_601]) ).
cnf(i_0_1359,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1360,plain,
element(esk8_1(relation_rng(empty_set)),relation_rng(empty_set)),
inference(scs_inference,[],[i_0_1318,i_0_1165,i_0_1321,i_0_617,i_0_1351,i_0_1194,i_0_1068,i_0_813,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537,i_0_594,i_0_601,i_0_625]) ).
cnf(i_0_1361,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_625]) ).
cnf(i_0_1362,plain,
~ in(X1,esk42_1(X2)),
inference(scs_inference,[],[i_0_1318,i_0_1165,i_0_1321,i_0_617,i_0_1351,i_0_670,i_0_1194,i_0_1068,i_0_813,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537,i_0_594,i_0_601,i_0_625,i_0_633]) ).
cnf(i_0_1363,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_633]) ).
cnf(i_0_1364,plain,
~ in(X1,union(esk8_1(unordered_pair(empty_set,empty_set)))),
inference(scs_inference,[],[i_0_1318,i_0_1165,i_0_1321,i_0_1052,i_0_617,i_0_1351,i_0_670,i_0_1194,i_0_1068,i_0_813,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537,i_0_594,i_0_601,i_0_625,i_0_633,i_0_754]) ).
cnf(i_0_1365,plain,
~ in(X1,esk8_1(unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_1052]) ).
cnf(i_0_1366,plain,
( in(esk22_3(X1,union(X1),X2),X1)
| ~ in(X2,union(X1)) ),
inference(rename_variables,[],[i_0_754]) ).
cnf(i_0_1367,plain,
~ in(esk8_1(relation_rng(empty_set)),set_difference(X1,relation_rng(empty_set))),
inference(scs_inference,[],[i_0_1318,i_0_1165,i_0_1321,i_0_1052,i_0_617,i_0_1351,i_0_670,i_0_1194,i_0_1068,i_0_813,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537,i_0_594,i_0_601,i_0_625,i_0_633,i_0_754,i_0_762]) ).
cnf(i_0_1368,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_762]) ).
cnf(i_0_1369,plain,
element(complements_of_subsets(X1,complements_of_subsets(X1,powerset(X1))),powerset(powerset(X1))),
inference(scs_inference,[],[i_0_1318,i_0_1165,i_0_1321,i_0_1052,i_0_617,i_0_1351,i_0_670,i_0_1194,i_0_1068,i_0_813,i_0_1057,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537,i_0_594,i_0_601,i_0_625,i_0_633,i_0_754,i_0_762,i_0_503]) ).
cnf(i_0_1370,plain,
( ~ element(X1,powerset(powerset(X2)))
| element(complements_of_subsets(X2,X1),powerset(powerset(X2))) ),
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_1371,plain,
element(meet_of_subsets(X1,complements_of_subsets(X1,powerset(X1))),powerset(X1)),
inference(scs_inference,[],[i_0_1318,i_0_1165,i_0_1321,i_0_1052,i_0_617,i_0_1351,i_0_670,i_0_1194,i_0_1068,i_0_813,i_0_1057,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537,i_0_594,i_0_601,i_0_625,i_0_633,i_0_754,i_0_762,i_0_503,i_0_508]) ).
cnf(i_0_1372,plain,
( ~ element(X1,powerset(powerset(X2)))
| element(meet_of_subsets(X2,X1),powerset(X2)) ),
inference(rename_variables,[],[i_0_508]) ).
cnf(i_0_1373,plain,
element(union_of_subsets(X1,complements_of_subsets(X1,powerset(X1))),powerset(X1)),
inference(scs_inference,[],[i_0_1318,i_0_1165,i_0_1321,i_0_1052,i_0_617,i_0_1351,i_0_670,i_0_1194,i_0_1068,i_0_813,i_0_1057,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537,i_0_594,i_0_601,i_0_625,i_0_633,i_0_754,i_0_762,i_0_503,i_0_508,i_0_509]) ).
cnf(i_0_1374,plain,
( ~ element(X1,powerset(powerset(X2)))
| element(union_of_subsets(X2,X1),powerset(X2)) ),
inference(rename_variables,[],[i_0_509]) ).
cnf(i_0_1375,plain,
relation(esk8_1(unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_1318,i_0_1165,i_0_1321,i_0_1052,i_0_1365,i_0_617,i_0_1351,i_0_670,i_0_1194,i_0_1068,i_0_813,i_0_1057,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537,i_0_594,i_0_601,i_0_625,i_0_633,i_0_754,i_0_762,i_0_503,i_0_508,i_0_509,i_0_642]) ).
cnf(i_0_1376,plain,
~ in(X1,esk8_1(unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_1052]) ).
cnf(i_0_1377,plain,
( in(esk3_1(X1),X1)
| relation(X1) ),
inference(rename_variables,[],[i_0_642]) ).
cnf(i_0_1378,plain,
subset(esk42_1(esk40_0),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_1154,i_0_1318,i_0_1165,i_0_1321,i_0_1052,i_0_1365,i_0_617,i_0_1351,i_0_670,i_0_1194,i_0_1068,i_0_813,i_0_1057,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537,i_0_594,i_0_601,i_0_625,i_0_633,i_0_754,i_0_762,i_0_503,i_0_508,i_0_509,i_0_642,i_0_608]) ).
cnf(i_0_1379,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_608]) ).
cnf(i_0_1380,plain,
subset(esk42_1(esk40_0),empty_set),
inference(scs_inference,[],[i_0_1154,i_0_1318,i_0_1165,i_0_1321,i_0_1052,i_0_1365,i_0_617,i_0_1351,i_0_670,i_0_1194,i_0_1068,i_0_813,i_0_1057,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537,i_0_594,i_0_601,i_0_625,i_0_633,i_0_754,i_0_762,i_0_503,i_0_508,i_0_509,i_0_642,i_0_608,i_0_655]) ).
cnf(i_0_1381,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_655]) ).
cnf(i_0_1382,plain,
subset(esk8_1(unordered_pair(empty_set,empty_set)),X1),
inference(scs_inference,[],[i_0_1154,i_0_1318,i_0_1165,i_0_1321,i_0_1052,i_0_1365,i_0_1376,i_0_617,i_0_1351,i_0_670,i_0_1194,i_0_1068,i_0_813,i_0_1057,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537,i_0_594,i_0_601,i_0_625,i_0_633,i_0_754,i_0_762,i_0_503,i_0_508,i_0_509,i_0_642,i_0_608,i_0_655,i_0_582]) ).
cnf(i_0_1383,plain,
~ in(X1,esk8_1(unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_1052]) ).
cnf(i_0_1384,plain,
( in(esk17_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_582]) ).
cnf(i_0_1385,plain,
~ in(X1,cartesian_product2(X2,esk8_1(unordered_pair(empty_set,empty_set)))),
inference(scs_inference,[],[i_0_1154,i_0_1318,i_0_1165,i_0_1321,i_0_1052,i_0_1365,i_0_1376,i_0_1383,i_0_617,i_0_1351,i_0_670,i_0_1194,i_0_1068,i_0_813,i_0_1057,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537,i_0_594,i_0_601,i_0_625,i_0_633,i_0_754,i_0_762,i_0_503,i_0_508,i_0_509,i_0_642,i_0_608,i_0_655,i_0_582,i_0_743]) ).
cnf(i_0_1386,plain,
~ in(X1,esk8_1(unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_1052]) ).
cnf(i_0_1387,plain,
( in(esk13_4(X1,X2,cartesian_product2(X1,X2),X3),X2)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(rename_variables,[],[i_0_743]) ).
cnf(i_0_1388,plain,
~ in(X1,cartesian_product2(esk8_1(unordered_pair(empty_set,empty_set)),X2)),
inference(scs_inference,[],[i_0_1154,i_0_1318,i_0_1165,i_0_1321,i_0_1052,i_0_1365,i_0_1376,i_0_1383,i_0_1386,i_0_617,i_0_1351,i_0_670,i_0_1194,i_0_1068,i_0_813,i_0_1057,i_0_1144,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537,i_0_594,i_0_601,i_0_625,i_0_633,i_0_754,i_0_762,i_0_503,i_0_508,i_0_509,i_0_642,i_0_608,i_0_655,i_0_582,i_0_743,i_0_744]) ).
cnf(i_0_1389,plain,
~ in(X1,esk8_1(unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_1052]) ).
cnf(i_0_1390,plain,
( in(esk12_4(X1,X2,cartesian_product2(X1,X2),X3),X1)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(rename_variables,[],[i_0_744]) ).
cnf(i_0_1391,plain,
$false,
inference(scs_inference,[],[i_0_1154,i_0_1318,i_0_1165,i_0_1321,i_0_1052,i_0_1365,i_0_1376,i_0_1383,i_0_1386,i_0_617,i_0_1351,i_0_670,i_0_1194,i_0_1068,i_0_813,i_0_1057,i_0_1144,i_0_982,i_0_606,i_0_768,i_0_641,i_0_531,i_0_532,i_0_536,i_0_537,i_0_594,i_0_601,i_0_625,i_0_633,i_0_754,i_0_762,i_0_503,i_0_508,i_0_509,i_0_642,i_0_608,i_0_655,i_0_582,i_0_743,i_0_744,i_0_765]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU187+2 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.10 % 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
% 0.13/0.30 % Computer : n010.cluster.edu
% 0.13/0.30 % Model : x86_64 x86_64
% 0.13/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.30 % Memory : 8042.1875MB
% 0.13/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.30 % CPULimit : 300
% 0.13/0.30 % WCLimit : 300
% 0.13/0.30 % DateTime : Tue May 5 02:46:51 EDT 2026
% 0.13/0.30 % CPUTime :
% 0.13/0.31 % start to proof: theBenchmark
% 1.09/1.64 % Version : CSE_E---1.7
% 1.09/1.64 % Problem : theBenchmark.p
% 1.09/1.64 % SZS status Theorem for theBenchmark.p
% 1.09/1.64 % SZS output start CNFRefutation
% See solution above
% 5.87/6.44 % Total time : 1.326s
%------------------------------------------------------------------------------