%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU171+2 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n008.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 05:10:55 PM UTC 2026
% Result : Theorem 0.74s 1.61s
% Output : CNFRefutation 3.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_108)
% Comments :
%------------------------------------------------------------------------------
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(t69_enumset1,lemma,
! [X1] : unordered_pair(X1,X1) = singleton(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(fc1_zfmisc_1,axiom,
! [X1,X2] : ~ empty(ordered_pair(X1,X2)),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t65_zfmisc_1) ).
fof(l28_zfmisc_1,lemma,
! [X1,X2] :
( ~ in(X1,X2)
=> disjoint(singleton(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l28_zfmisc_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/sandbox/benchmark/theBenchmark.p',d2_zfmisc_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',l55_zfmisc_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/sandbox/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/sandbox/benchmark/theBenchmark.p',t26_xboole_1) ).
fof(t19_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X2)
& subset(X1,X3) )
=> subset(X1,set_intersection2(X2,X3)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',l3_zfmisc_1) ).
fof(t6_zfmisc_1,lemma,
! [X1,X2] :
( subset(singleton(X1),singleton(X2))
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_zfmisc_1) ).
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = singleton(X1)
<=> ! [X3] :
( in(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',t9_tarski) ).
fof(t17_xboole_1,lemma,
! [X1,X2] : subset(set_intersection2(X1,X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(l25_zfmisc_1,lemma,
! [X1,X2] :
~ ( disjoint(singleton(X1),X2)
& in(X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(t37_zfmisc_1,lemma,
! [X1,X2] :
( subset(singleton(X1),X2)
<=> in(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_zfmisc_1) ).
fof(l2_zfmisc_1,lemma,
! [X1,X2] :
( subset(singleton(X1),X2)
<=> in(X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',l23_zfmisc_1) ).
fof(t28_xboole_1,lemma,
! [X1,X2] :
( subset(X1,X2)
=> set_intersection2(X1,X2) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_xboole_1) ).
fof(fc2_xboole_0,axiom,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_xboole_0) ).
fof(fc3_xboole_0,axiom,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_xboole_0) ).
fof(t50_subset_1,conjecture,
! [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/sandbox/benchmark/theBenchmark.p',t50_subset_1) ).
fof(t8_zfmisc_1,lemma,
! [X1,X2,X3] :
( singleton(X1) = unordered_pair(X2,X3)
=> X1 = X2 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_xboole_0) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(idempotence_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(t2_boole,axiom,
! [X1] : set_intersection2(X1,empty_set) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(irreflexivity_r2_xboole_0,axiom,
! [X1,X2] : ~ proper_subset(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_r2_xboole_0) ).
fof(l1_zfmisc_1,lemma,
! [X1] : singleton(X1) != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_zfmisc_1) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ empty(powerset(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ empty(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
fof(d4_tarski,axiom,
! [X1,X2] :
( X2 = union(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X3,X4)
& in(X4,X1) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',t43_subset_1) ).
fof(d1_zfmisc_1,axiom,
! [X1,X2] :
( X2 = powerset(X1)
<=> ! [X3] :
( in(X3,X2)
<=> subset(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
<=> in(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
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/sandbox/benchmark/theBenchmark.p',t119_zfmisc_1) ).
fof(t33_xboole_1,lemma,
! [X1,X2,X3] :
( subset(X1,X2)
=> subset(set_difference(X1,X3),set_difference(X2,X3)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t38_zfmisc_1) ).
fof(dt_k3_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> element(subset_complement(X1,X2),powerset(X1)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(involutiveness_k3_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> subset_complement(X1,subset_complement(X1,X2)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(l3_subset_1,lemma,
! [X1,X2] :
( element(X2,powerset(X1))
=> ! [X3] :
( in(X3,X2)
=> in(X3,X1) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',t45_xboole_1) ).
fof(d5_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> subset_complement(X1,X2) = set_difference(X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t10_zfmisc_1) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(t60_xboole_1,lemma,
! [X1,X2] :
~ ( subset(X1,X2)
& proper_subset(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_xboole_1) ).
fof(t92_zfmisc_1,lemma,
! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_zfmisc_1) ).
fof(l50_zfmisc_1,lemma,
! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l50_zfmisc_1) ).
fof(t36_xboole_1,lemma,
! [X1,X2] : subset(set_difference(X1,X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_xboole_1) ).
fof(t7_xboole_1,lemma,
! [X1,X2] : subset(X1,set_union2(X1,X2)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',d8_xboole_0) ).
fof(t83_xboole_1,lemma,
! [X1,X2] :
( disjoint(X1,X2)
<=> set_difference(X1,X2) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_xboole_1) ).
fof(t12_xboole_1,lemma,
! [X1,X2] :
( subset(X1,X2)
=> set_union2(X1,X2) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(symmetry_r1_xboole_0,axiom,
! [X1,X2] :
( disjoint(X1,X2)
=> disjoint(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(t37_xboole_1,lemma,
! [X1,X2] :
( set_difference(X1,X2) = empty_set
<=> subset(X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',l32_xboole_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(commutativity_k2_xboole_0,axiom,
! [X1,X2] : set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(t3_xboole_1,lemma,
! [X1] :
( subset(X1,empty_set)
=> X1 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(idempotence_k2_xboole_0,axiom,
! [X1,X2] : set_union2(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(t1_zfmisc_1,lemma,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_zfmisc_1) ).
fof(t3_boole,axiom,
! [X1] : set_difference(X1,empty_set) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).
fof(t1_boole,axiom,
! [X1] : set_union2(X1,empty_set) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_boole) ).
fof(t2_xboole_1,lemma,
! [X1] : subset(empty_set,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(t4_boole,axiom,
! [X1] : set_difference(empty_set,X1) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).
fof(t99_zfmisc_1,lemma,
! [X1] : union(powerset(X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_zfmisc_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_100,plain,
! [X350,X351] : ordered_pair(X350,X351) = unordered_pair(unordered_pair(X350,X351),singleton(X350)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(i_0_101,lemma,
! [X504] : unordered_pair(X504,X504) = singleton(X504),
inference(variable_rename,[status(thm)],[t69_enumset1]) ).
fof(i_0_102,plain,
! [X1,X2] : ~ empty(ordered_pair(X1,X2)),
inference(fof_simplification,[status(thm)],[fc1_zfmisc_1]) ).
fof(i_0_103,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_104,lemma,
! [X1,X2] :
( set_difference(X1,singleton(X2)) = X1
<=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[t65_zfmisc_1]) ).
fof(i_0_105,lemma,
! [X1,X2] :
( ~ in(X1,X2)
=> disjoint(singleton(X1),X2) ),
inference(fof_simplification,[status(thm)],[l28_zfmisc_1]) ).
fof(i_0_106,plain,
! [X296,X297,X298,X299,X302,X303,X304,X305,X306,X307,X309,X310] :
( ( in(esk6_4(X296,X297,X298,X299),X296)
| ~ in(X299,X298)
| X298 != cartesian_product2(X296,X297) )
& ( in(esk7_4(X296,X297,X298,X299),X297)
| ~ in(X299,X298)
| X298 != cartesian_product2(X296,X297) )
& ( X299 = ordered_pair(esk6_4(X296,X297,X298,X299),esk7_4(X296,X297,X298,X299))
| ~ in(X299,X298)
| X298 != cartesian_product2(X296,X297) )
& ( ~ in(X303,X296)
| ~ in(X304,X297)
| X302 != ordered_pair(X303,X304)
| in(X302,X298)
| X298 != cartesian_product2(X296,X297) )
& ( ~ in(esk8_3(X305,X306,X307),X307)
| ~ in(X309,X305)
| ~ in(X310,X306)
| esk8_3(X305,X306,X307) != ordered_pair(X309,X310)
| X307 = cartesian_product2(X305,X306) )
& ( in(esk9_3(X305,X306,X307),X305)
| in(esk8_3(X305,X306,X307),X307)
| X307 = cartesian_product2(X305,X306) )
& ( in(esk10_3(X305,X306,X307),X306)
| in(esk8_3(X305,X306,X307),X307)
| X307 = cartesian_product2(X305,X306) )
& ( esk8_3(X305,X306,X307) = ordered_pair(esk9_3(X305,X306,X307),esk10_3(X305,X306,X307))
| in(esk8_3(X305,X306,X307),X307)
| X307 = cartesian_product2(X305,X306) ) ),
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])])])])])]) ).
cnf(i_0_107,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[i_0_100]) ).
cnf(i_0_108,lemma,
unordered_pair(X1,X1) = singleton(X1),
inference(split_conjunct,[status(thm)],[i_0_101]) ).
fof(i_0_109,plain,
! [X319,X320,X321,X322,X323,X324,X325,X326] :
( ( in(X322,X319)
| ~ in(X322,X321)
| X321 != set_intersection2(X319,X320) )
& ( in(X322,X320)
| ~ in(X322,X321)
| X321 != set_intersection2(X319,X320) )
& ( ~ in(X323,X319)
| ~ in(X323,X320)
| in(X323,X321)
| X321 != set_intersection2(X319,X320) )
& ( ~ in(esk12_3(X324,X325,X326),X326)
| ~ in(esk12_3(X324,X325,X326),X324)
| ~ in(esk12_3(X324,X325,X326),X325)
| X326 = set_intersection2(X324,X325) )
& ( in(esk12_3(X324,X325,X326),X324)
| in(esk12_3(X324,X325,X326),X326)
| X326 = set_intersection2(X324,X325) )
& ( in(esk12_3(X324,X325,X326),X325)
| in(esk12_3(X324,X325,X326),X326)
| X326 = set_intersection2(X324,X325) ) ),
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_110,lemma,
! [X485,X486] : set_difference(X485,set_difference(X485,X486)) = set_intersection2(X485,X486),
inference(variable_rename,[status(thm)],[t48_xboole_1]) ).
fof(i_0_111,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_112,lemma,
! [X406,X407,X408,X409] :
( ( in(X406,X408)
| ~ in(ordered_pair(X406,X407),cartesian_product2(X408,X409)) )
& ( in(X407,X409)
| ~ in(ordered_pair(X406,X407),cartesian_product2(X408,X409)) )
& ( ~ in(X406,X408)
| ~ in(X407,X409)
| in(ordered_pair(X406,X407),cartesian_product2(X408,X409)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t106_zfmisc_1])])]) ).
fof(i_0_113,lemma,
! [X393,X394,X395,X396] :
( ( in(X393,X395)
| ~ in(ordered_pair(X393,X394),cartesian_product2(X395,X396)) )
& ( in(X394,X396)
| ~ in(ordered_pair(X393,X394),cartesian_product2(X395,X396)) )
& ( ~ in(X393,X395)
| ~ in(X394,X396)
| in(ordered_pair(X393,X394),cartesian_product2(X395,X396)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l55_zfmisc_1])])]) ).
fof(i_0_114,plain,
! [X361,X362] : ~ empty(ordered_pair(X361,X362)),
inference(variable_rename,[status(thm)],[i_0_102]) ).
fof(i_0_115,lemma,
! [X451,X452,X453,X454] :
( ( X451 = X453
| ordered_pair(X451,X452) != ordered_pair(X453,X454) )
& ( X452 = X454
| ordered_pair(X451,X452) != ordered_pair(X453,X454) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_zfmisc_1])])]) ).
fof(i_0_116,lemma,
! [X438,X439,X440] :
( ~ subset(X438,X439)
| subset(set_intersection2(X438,X440),set_intersection2(X439,X440)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t26_xboole_1])]) ).
fof(i_0_117,lemma,
! [X488,X489,X491,X492,X493] :
( ( disjoint(X488,X489)
| in(esk25_2(X488,X489),set_intersection2(X488,X489)) )
& ( ~ in(X493,set_intersection2(X491,X492))
| ~ disjoint(X491,X492) ) ),
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_103])])])])]) ).
fof(i_0_118,lemma,
! [X431,X432,X433] :
( ~ subset(X431,X432)
| ~ subset(X431,X433)
| subset(X431,set_intersection2(X432,X433)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_xboole_1])]) ).
fof(i_0_119,lemma,
! [X386,X387,X388] :
( ~ subset(X386,X387)
| in(X388,X386)
| subset(X386,set_difference(X387,singleton(X388))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l3_zfmisc_1])]) ).
fof(i_0_120,lemma,
! [X506,X507] :
( ~ subset(singleton(X506),singleton(X507))
| X506 = X507 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_zfmisc_1])]) ).
fof(i_0_121,plain,
! [X258,X259,X260,X261,X262,X263] :
( ( ~ in(X260,X259)
| X260 = X258
| X259 != singleton(X258) )
& ( X261 != X258
| in(X261,X259)
| X259 != singleton(X258) )
& ( ~ in(esk1_2(X262,X263),X263)
| esk1_2(X262,X263) != X262
| X263 = singleton(X262) )
& ( in(esk1_2(X262,X263),X263)
| esk1_2(X262,X263) = X262
| X263 = singleton(X262) ) ),
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_122,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_123,lemma,
! [X429,X430] : subset(set_intersection2(X429,X430),X429),
inference(variable_rename,[status(thm)],[t17_xboole_1]) ).
fof(i_0_124,lemma,
! [X502,X503] :
( ( set_difference(X502,singleton(X503)) != X502
| ~ in(X503,X502) )
& ( in(X503,X502)
| set_difference(X502,singleton(X503)) = X502 ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_104])]) ).
fof(i_0_125,lemma,
! [X375,X376] :
( ~ disjoint(singleton(X375),X376)
| ~ in(X375,X376) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l25_zfmisc_1])]) ).
fof(i_0_126,lemma,
! [X466,X467] :
( ( ~ subset(X466,singleton(X467))
| X466 = empty_set
| X466 = singleton(X467) )
& ( X466 != empty_set
| subset(X466,singleton(X467)) )
& ( X466 != singleton(X467)
| subset(X466,singleton(X467)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t39_zfmisc_1])])]) ).
fof(i_0_127,lemma,
! [X389,X390] :
( ( ~ subset(X389,singleton(X390))
| X389 = empty_set
| X389 = singleton(X390) )
& ( X389 != empty_set
| subset(X389,singleton(X390)) )
& ( X389 != singleton(X390)
| subset(X389,singleton(X390)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l4_zfmisc_1])])]) ).
fof(i_0_128,plain,
! [X254,X255] : set_intersection2(X254,X255) = set_intersection2(X255,X254),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(i_0_129,lemma,
! [X459,X460] :
( ( ~ subset(singleton(X459),X460)
| in(X459,X460) )
& ( ~ in(X459,X460)
| subset(singleton(X459),X460) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_zfmisc_1])]) ).
fof(i_0_130,lemma,
! [X379,X380] :
( ( ~ subset(singleton(X379),X380)
| in(X379,X380) )
& ( ~ in(X379,X380)
| subset(singleton(X379),X380) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l2_zfmisc_1])]) ).
fof(i_0_131,plain,
! [X352,X353] :
( ( ~ disjoint(X352,X353)
| set_intersection2(X352,X353) = empty_set )
& ( set_intersection2(X352,X353) != empty_set
| disjoint(X352,X353) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_xboole_0])]) ).
fof(i_0_132,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_133,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_134,lemma,
! [X483,X484] :
( ~ in(X483,X484)
| set_union2(singleton(X483),X484) = X484 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_zfmisc_1])]) ).
fof(i_0_135,lemma,
! [X373,X374] :
( ~ in(X373,X374)
| set_union2(singleton(X373),X374) = X374 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l23_zfmisc_1])]) ).
fof(i_0_136,lemma,
! [X441,X442] :
( ~ subset(X441,X442)
| set_intersection2(X441,X442) = X441 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t28_xboole_1])]) ).
fof(i_0_137,lemma,
! [X377,X378] :
( in(X377,X378)
| disjoint(singleton(X377),X378) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_105])]) ).
fof(i_0_138,plain,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc2_xboole_0]) ).
fof(i_0_139,plain,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X2,X1)) ),
inference(fof_simplification,[status(thm)],[fc3_xboole_0]) ).
fof(i_0_140,negated_conjecture,
~ ! [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)],[inference(assume_negation,[status(cth)],[t50_subset_1])]) ).
fof(i_0_141,lemma,
! [X519,X520,X521] :
( singleton(X519) != unordered_pair(X520,X521)
| X519 = X520 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_zfmisc_1])]) ).
fof(i_0_142,lemma,
! [X533,X534,X535] :
( singleton(X533) != unordered_pair(X534,X535)
| X534 = X535 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_zfmisc_1])]) ).
fof(i_0_143,plain,
! [X1,X2] :
( proper_subset(X1,X2)
=> ~ proper_subset(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_xboole_0]) ).
fof(i_0_144,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_145,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_146,plain,
! [X368] : set_intersection2(X368,X368) = X368,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])]) ).
fof(i_0_147,plain,
! [X443] : set_intersection2(X443,empty_set) = empty_set,
inference(variable_rename,[status(thm)],[t2_boole]) ).
fof(i_0_148,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(i_0_149,plain,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
fof(i_0_150,plain,
! [X1,X2] : ~ proper_subset(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_r2_xboole_0]) ).
fof(i_0_151,lemma,
! [X372] : singleton(X372) != empty_set,
inference(variable_rename,[status(thm)],[l1_zfmisc_1]) ).
fof(i_0_152,plain,
! [X1] : ~ empty(powerset(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(i_0_153,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
cnf(i_0_154,plain,
( X1 = ordered_pair(esk6_4(X2,X3,X4,X1),esk7_4(X2,X3,X4,X1))
| ~ in(X1,X4)
| X4 != cartesian_product2(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_106]) ).
cnf(i_0_155,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),
inference(rw,[status(thm)],[i_0_107,c_0_108]) ).
cnf(i_0_156,plain,
( esk8_3(X1,X2,X3) = ordered_pair(esk9_3(X1,X2,X3),esk10_3(X1,X2,X3))
| in(esk8_3(X1,X2,X3),X3)
| X3 = cartesian_product2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_106]) ).
cnf(i_0_157,plain,
( X3 = set_intersection2(X1,X2)
| ~ in(esk12_3(X1,X2,X3),X3)
| ~ in(esk12_3(X1,X2,X3),X1)
| ~ in(esk12_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_109]) ).
cnf(i_0_158,lemma,
set_difference(X1,set_difference(X1,X2)) = set_intersection2(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_110]) ).
fof(i_0_159,plain,
! [X339,X340,X341,X342,X343,X344,X345,X346] :
( ( in(X342,X339)
| ~ in(X342,X341)
| X341 != set_difference(X339,X340) )
& ( ~ in(X342,X340)
| ~ in(X342,X341)
| X341 != set_difference(X339,X340) )
& ( ~ in(X343,X339)
| in(X343,X340)
| in(X343,X341)
| X341 != set_difference(X339,X340) )
& ( ~ in(esk16_3(X344,X345,X346),X346)
| ~ in(esk16_3(X344,X345,X346),X344)
| in(esk16_3(X344,X345,X346),X345)
| X346 = set_difference(X344,X345) )
& ( in(esk16_3(X344,X345,X346),X344)
| in(esk16_3(X344,X345,X346),X346)
| X346 = set_difference(X344,X345) )
& ( ~ in(esk16_3(X344,X345,X346),X345)
| in(esk16_3(X344,X345,X346),X346)
| X346 = set_difference(X344,X345) ) ),
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_111])])])])])]) ).
cnf(i_0_160,plain,
( X3 = cartesian_product2(X1,X2)
| ~ in(esk8_3(X1,X2,X3),X3)
| ~ in(X4,X1)
| ~ in(X5,X2)
| esk8_3(X1,X2,X3) != ordered_pair(X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_106]) ).
fof(i_0_161,plain,
! [X287,X288,X289,X290,X291,X292,X293,X294] :
( ( ~ in(X290,X289)
| in(X290,X287)
| in(X290,X288)
| X289 != set_union2(X287,X288) )
& ( ~ in(X291,X287)
| in(X291,X289)
| X289 != set_union2(X287,X288) )
& ( ~ in(X291,X288)
| in(X291,X289)
| X289 != set_union2(X287,X288) )
& ( ~ in(esk5_3(X292,X293,X294),X292)
| ~ in(esk5_3(X292,X293,X294),X294)
| X294 = set_union2(X292,X293) )
& ( ~ in(esk5_3(X292,X293,X294),X293)
| ~ in(esk5_3(X292,X293,X294),X294)
| X294 = set_union2(X292,X293) )
& ( in(esk5_3(X292,X293,X294),X294)
| in(esk5_3(X292,X293,X294),X292)
| in(esk5_3(X292,X293,X294),X293)
| X294 = set_union2(X292,X293) ) ),
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])])])])])]) ).
fof(i_0_162,plain,
! [X278,X279,X280,X281,X282,X283,X284,X285] :
( ( ~ in(X281,X280)
| X281 = X278
| X281 = X279
| X280 != unordered_pair(X278,X279) )
& ( X282 != X278
| in(X282,X280)
| X280 != unordered_pair(X278,X279) )
& ( X282 != X279
| in(X282,X280)
| X280 != unordered_pair(X278,X279) )
& ( esk4_3(X283,X284,X285) != X283
| ~ in(esk4_3(X283,X284,X285),X285)
| X285 = unordered_pair(X283,X284) )
& ( esk4_3(X283,X284,X285) != X284
| ~ in(esk4_3(X283,X284,X285),X285)
| X285 = unordered_pair(X283,X284) )
& ( in(esk4_3(X283,X284,X285),X285)
| esk4_3(X283,X284,X285) = X283
| esk4_3(X283,X284,X285) = X284
| X285 = unordered_pair(X283,X284) ) ),
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_163,plain,
( in(esk12_3(X1,X2,X3),X1)
| in(esk12_3(X1,X2,X3),X3)
| X3 = set_intersection2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_109]) ).
cnf(i_0_164,plain,
( in(esk12_3(X1,X2,X3),X2)
| in(esk12_3(X1,X2,X3),X3)
| X3 = set_intersection2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_109]) ).
cnf(i_0_165,lemma,
( in(X1,X2)
| ~ in(ordered_pair(X1,X3),cartesian_product2(X2,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_112]) ).
cnf(i_0_166,lemma,
( in(X1,X2)
| ~ in(ordered_pair(X1,X3),cartesian_product2(X2,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_113]) ).
cnf(i_0_167,lemma,
( in(X1,X2)
| ~ in(ordered_pair(X3,X1),cartesian_product2(X4,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_112]) ).
cnf(i_0_168,lemma,
( in(X1,X2)
| ~ in(ordered_pair(X3,X1),cartesian_product2(X4,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_113]) ).
cnf(i_0_169,lemma,
( in(ordered_pair(X1,X3),cartesian_product2(X2,X4))
| ~ in(X1,X2)
| ~ in(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_112]) ).
cnf(i_0_170,lemma,
( in(ordered_pair(X1,X3),cartesian_product2(X2,X4))
| ~ in(X1,X2)
| ~ in(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_113]) ).
cnf(i_0_171,plain,
~ empty(ordered_pair(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_114]) ).
cnf(i_0_172,lemma,
( X1 = X2
| ordered_pair(X1,X3) != ordered_pair(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_115]) ).
cnf(i_0_173,lemma,
( X1 = X2
| ordered_pair(X3,X1) != ordered_pair(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_115]) ).
cnf(i_0_174,lemma,
( subset(set_intersection2(X1,X3),set_intersection2(X2,X3))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_116]) ).
cnf(i_0_175,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_106]) ).
cnf(i_0_176,lemma,
( ~ in(X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_117]) ).
fof(i_0_177,plain,
! [X328,X329,X330,X332,X333,X334,X335,X337] :
( ( in(X330,esk13_3(X328,X329,X330))
| ~ in(X330,X329)
| X329 != union(X328) )
& ( in(esk13_3(X328,X329,X330),X328)
| ~ in(X330,X329)
| X329 != union(X328) )
& ( ~ in(X332,X333)
| ~ in(X333,X328)
| in(X332,X329)
| X329 != union(X328) )
& ( ~ in(esk14_2(X334,X335),X335)
| ~ in(esk14_2(X334,X335),X337)
| ~ in(X337,X334)
| X335 = union(X334) )
& ( in(esk14_2(X334,X335),esk15_2(X334,X335))
| in(esk14_2(X334,X335),X335)
| X335 = union(X334) )
& ( in(esk15_2(X334,X335),X334)
| in(esk14_2(X334,X335),X335)
| X335 = union(X334) ) ),
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_178,lemma,
! [X478,X479,X480] :
( ( ~ disjoint(X479,X480)
| subset(X479,subset_complement(X478,X480))
| ~ element(X480,powerset(X478))
| ~ element(X479,powerset(X478)) )
& ( ~ subset(X479,subset_complement(X478,X480))
| disjoint(X479,X480)
| ~ element(X480,powerset(X478))
| ~ element(X479,powerset(X478)) ) ),
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_179,lemma,
( subset(X1,set_intersection2(X2,X3))
| ~ subset(X1,X2)
| ~ subset(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_118]) ).
cnf(i_0_180,lemma,
( disjoint(X1,X2)
| in(esk25_2(X1,X2),set_intersection2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_117]) ).
fof(i_0_181,plain,
! [X269,X270,X271,X272,X273,X274] :
( ( ~ in(X271,X270)
| subset(X271,X269)
| X270 != powerset(X269) )
& ( ~ subset(X272,X269)
| in(X272,X270)
| X270 != powerset(X269) )
& ( ~ in(esk3_2(X273,X274),X274)
| ~ subset(esk3_2(X273,X274),X273)
| X274 = powerset(X273) )
& ( in(esk3_2(X273,X274),X274)
| subset(esk3_2(X273,X274),X273)
| X274 = powerset(X273) ) ),
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_182,lemma,
( in(X3,X1)
| subset(X1,set_difference(X2,singleton(X3)))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_119]) ).
fof(i_0_183,plain,
! [X444,X445] :
( ( ~ in(esk23_2(X444,X445),X444)
| ~ in(esk23_2(X444,X445),X445)
| X444 = X445 )
& ( in(esk23_2(X444,X445),X444)
| in(esk23_2(X444,X445),X445)
| X444 = X445 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
cnf(i_0_184,plain,
( in(X1,X4)
| ~ in(X1,X2)
| ~ in(X1,X3)
| X4 != set_intersection2(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_109]) ).
fof(i_0_185,lemma,
! [X417,X418,X419,X420] :
( ~ subset(X417,X418)
| ~ subset(X419,X420)
| subset(cartesian_product2(X417,X419),cartesian_product2(X418,X420)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t119_zfmisc_1])]) ).
cnf(i_0_186,lemma,
( X1 = X2
| ~ subset(singleton(X1),singleton(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_120]) ).
cnf(i_0_187,plain,
( X2 = singleton(X1)
| ~ in(esk1_2(X1,X2),X2)
| esk1_2(X1,X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_121]) ).
cnf(i_0_188,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_109]) ).
cnf(i_0_189,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_109]) ).
fof(i_0_190,plain,
! [X525,X527,X528,X529,X531,X532] :
( in(X525,esk29_1(X525))
& ( ~ in(X527,esk29_1(X525))
| ~ subset(X528,X527)
| in(X528,esk29_1(X525)) )
& ( in(esk30_2(X525,X529),esk29_1(X525))
| ~ in(X529,esk29_1(X525)) )
& ( ~ subset(X531,X529)
| in(X531,esk30_2(X525,X529))
| ~ in(X529,esk29_1(X525)) )
& ( ~ subset(X532,esk29_1(X525))
| are_equipotent(X532,esk29_1(X525))
| in(X532,esk29_1(X525)) ) ),
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_122])])])])]) ).
cnf(i_0_191,lemma,
subset(set_intersection2(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_123]) ).
fof(i_0_192,lemma,
! [X448,X449,X450] :
( ~ subset(X448,X449)
| subset(set_difference(X448,X450),set_difference(X449,X450)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_xboole_1])]) ).
fof(i_0_193,lemma,
! [X414,X415,X416] :
( ( subset(cartesian_product2(X414,X416),cartesian_product2(X415,X416))
| ~ subset(X414,X415) )
& ( subset(cartesian_product2(X416,X414),cartesian_product2(X416,X415))
| ~ subset(X414,X415) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t118_zfmisc_1])])]) ).
cnf(i_0_194,lemma,
( set_difference(X1,singleton(X2)) != X1
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_124]) ).
cnf(i_0_195,lemma,
( ~ disjoint(singleton(X1),X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_125]) ).
fof(i_0_196,lemma,
! [X516,X517,X518] :
( ~ subset(X516,X517)
| ~ subset(X518,X517)
| subset(set_union2(X516,X518),X517) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_xboole_1])]) ).
fof(i_0_197,lemma,
! [X461,X462,X463] :
( ( in(X461,X463)
| ~ subset(unordered_pair(X461,X462),X463) )
& ( in(X462,X463)
| ~ subset(unordered_pair(X461,X462),X463) )
& ( ~ in(X461,X463)
| ~ in(X462,X463)
| subset(unordered_pair(X461,X462),X463) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t38_zfmisc_1])])]) ).
cnf(i_0_198,lemma,
( X1 = empty_set
| X1 = singleton(X2)
| ~ subset(X1,singleton(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_126]) ).
cnf(i_0_199,lemma,
( X1 = empty_set
| X1 = singleton(X2)
| ~ subset(X1,singleton(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_127]) ).
cnf(i_0_200,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_128]) ).
fof(i_0_201,plain,
! [X356,X357] :
( ~ element(X357,powerset(X356))
| element(subset_complement(X356,X357),powerset(X356)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_subset_1])]) ).
fof(i_0_202,plain,
! [X313,X314,X315,X316,X317] :
( ( ~ subset(X313,X314)
| ~ in(X315,X313)
| in(X315,X314) )
& ( in(esk11_2(X316,X317),X316)
| subset(X316,X317) )
& ( ~ in(esk11_2(X316,X317),X317)
| subset(X316,X317) ) ),
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_203,lemma,
( in(X1,X2)
| ~ subset(singleton(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_129]) ).
cnf(i_0_204,lemma,
( in(X1,X2)
| ~ subset(singleton(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_130]) ).
cnf(i_0_205,plain,
( disjoint(X1,X2)
| set_intersection2(X1,X2) != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_131]) ).
fof(i_0_206,lemma,
! [X423,X425,X426,X427,X428] :
( in(X423,esk22_1(X423))
& ( ~ in(X425,esk22_1(X423))
| ~ subset(X426,X425)
| in(X426,esk22_1(X423)) )
& ( ~ in(X427,esk22_1(X423))
| in(powerset(X427),esk22_1(X423)) )
& ( ~ subset(X428,esk22_1(X423))
| are_equipotent(X428,esk22_1(X423))
| in(X428,esk22_1(X423)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_132])])])]) ).
fof(i_0_207,plain,
! [X369,X370] :
( ~ element(X370,powerset(X369))
| subset_complement(X369,subset_complement(X369,X370)) = X370 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k3_subset_1])]) ).
cnf(i_0_208,plain,
( in(esk1_2(X1,X2),X2)
| esk1_2(X1,X2) = X1
| X2 = singleton(X1) ),
inference(split_conjunct,[status(thm)],[i_0_121]) ).
fof(i_0_209,lemma,
! [X383,X384,X385] :
( ~ element(X384,powerset(X383))
| ~ in(X385,X384)
| in(X385,X383) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l3_subset_1])])]) ).
fof(i_0_210,lemma,
! [X469,X470,X472,X473,X474] :
( ( in(esk24_2(X469,X470),X469)
| disjoint(X469,X470) )
& ( in(esk24_2(X469,X470),X470)
| disjoint(X469,X470) )
& ( ~ in(X474,X472)
| ~ in(X474,X473)
| ~ disjoint(X472,X473) ) ),
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_133])])])])])]) ).
cnf(i_0_211,lemma,
( subset(X1,singleton(X2))
| X1 != singleton(X2) ),
inference(split_conjunct,[status(thm)],[i_0_126]) ).
cnf(i_0_212,lemma,
( subset(X1,singleton(X2))
| X1 != singleton(X2) ),
inference(split_conjunct,[status(thm)],[i_0_127]) ).
cnf(i_0_213,lemma,
( set_union2(singleton(X1),X2) = X2
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_134]) ).
cnf(i_0_214,lemma,
( set_union2(singleton(X1),X2) = X2
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_135]) ).
cnf(i_0_215,lemma,
( set_intersection2(X1,X2) = X1
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_136]) ).
fof(i_0_216,lemma,
! [X481,X482] :
( ~ subset(X481,X482)
| X482 = set_union2(X481,set_difference(X482,X481)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t45_xboole_1])]) ).
cnf(i_0_217,lemma,
( subset(singleton(X1),X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_129]) ).
cnf(i_0_218,lemma,
( subset(singleton(X1),X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_130]) ).
cnf(i_0_219,plain,
( set_intersection2(X1,X2) = empty_set
| ~ disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_131]) ).
fof(i_0_220,plain,
! [X348,X349] :
( ~ element(X349,powerset(X348))
| subset_complement(X348,X349) = set_difference(X348,X349) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_subset_1])]) ).
fof(i_0_221,lemma,
! [X499,X500,X501] :
( ~ subset(X499,X500)
| ~ disjoint(X500,X501)
| disjoint(X499,X501) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t63_xboole_1])]) ).
fof(i_0_222,lemma,
! [X435,X436,X437] :
( ~ subset(X435,X436)
| ~ subset(X436,X437)
| subset(X435,X437) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
cnf(i_0_223,lemma,
( in(X1,X2)
| set_difference(X2,singleton(X1)) = X2 ),
inference(split_conjunct,[status(thm)],[i_0_124]) ).
cnf(i_0_224,lemma,
( in(X1,X2)
| disjoint(singleton(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_137]) ).
fof(i_0_225,lemma,
! [X476,X477] : set_difference(set_union2(X476,X477),X477) = set_difference(X476,X477),
inference(variable_rename,[status(thm)],[t40_xboole_1]) ).
fof(i_0_226,lemma,
! [X464,X465] : set_union2(X464,set_difference(X465,X464)) = set_union2(X464,X465),
inference(variable_rename,[status(thm)],[t39_xboole_1]) ).
fof(i_0_227,plain,
! [X363,X364] :
( empty(X363)
| ~ empty(set_union2(X363,X364)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_138])]) ).
fof(i_0_228,plain,
! [X365,X366] :
( empty(X365)
| ~ empty(set_union2(X366,X365)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_139])]) ).
fof(i_0_229,negated_conjecture,
( esk26_0 != empty_set
& element(esk27_0,powerset(esk26_0))
& element(esk28_0,esk26_0)
& ~ in(esk28_0,esk27_0)
& ~ in(esk28_0,subset_complement(esk26_0,esk27_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_140])])]) ).
cnf(i_0_230,plain,
( X1 = X3
| ~ in(X1,X2)
| X2 != singleton(X3) ),
inference(split_conjunct,[status(thm)],[i_0_121]) ).
fof(i_0_231,lemma,
! [X410,X411,X412,X413] :
( unordered_pair(X410,X411) != unordered_pair(X412,X413)
| X410 = X412
| X410 = X413 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_zfmisc_1])]) ).
fof(i_0_232,plain,
! [X256,X257] :
( ( subset(X256,X257)
| X256 != X257 )
& ( subset(X257,X256)
| X256 != X257 )
& ( ~ subset(X256,X257)
| ~ subset(X257,X256)
| X256 = X257 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
cnf(i_0_233,lemma,
( X1 = X2
| singleton(X1) != unordered_pair(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_141]) ).
cnf(i_0_234,lemma,
( X2 = X3
| singleton(X1) != unordered_pair(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_142]) ).
fof(i_0_235,lemma,
! [X497,X498] :
( ~ subset(X497,X498)
| ~ proper_subset(X498,X497) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t60_xboole_1])]) ).
fof(i_0_236,plain,
! [X248,X249] :
( ~ proper_subset(X248,X249)
| ~ proper_subset(X249,X248) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_143])]) ).
fof(i_0_237,plain,
! [X246,X247] :
( ~ in(X246,X247)
| ~ in(X247,X246) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_144])]) ).
fof(i_0_238,lemma,
! [X522,X523] :
( ~ in(X522,X523)
| subset(X522,union(X523)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t92_zfmisc_1])]) ).
fof(i_0_239,lemma,
! [X391,X392] :
( ~ in(X391,X392)
| subset(X391,union(X392)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l50_zfmisc_1])]) ).
cnf(i_0_240,lemma,
( subset(X1,singleton(X2))
| X1 != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_126]) ).
cnf(i_0_241,lemma,
( subset(X1,singleton(X2))
| X1 != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_127]) ).
cnf(i_0_242,plain,
( in(X1,X3)
| X1 != X2
| X3 != singleton(X2) ),
inference(split_conjunct,[status(thm)],[i_0_121]) ).
fof(i_0_243,plain,
! [X276,X277] :
( ( ~ element(X277,X276)
| in(X277,X276)
| empty(X276) )
& ( ~ in(X277,X276)
| element(X277,X276)
| empty(X276) )
& ( ~ element(X277,X276)
| empty(X277)
| ~ empty(X276) )
& ( ~ empty(X277)
| element(X277,X276)
| ~ empty(X276) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_145])])]) ).
cnf(i_0_244,plain,
set_intersection2(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_146]) ).
fof(i_0_245,lemma,
! [X455,X456] : subset(set_difference(X455,X456),X455),
inference(variable_rename,[status(thm)],[t36_xboole_1]) ).
fof(i_0_246,lemma,
! [X510,X511] : subset(X510,set_union2(X510,X511)),
inference(variable_rename,[status(thm)],[t7_xboole_1]) ).
fof(i_0_247,plain,
! [X354,X355] :
( ( subset(X354,X355)
| ~ proper_subset(X354,X355) )
& ( X354 != X355
| ~ proper_subset(X354,X355) )
& ( ~ subset(X354,X355)
| X354 = X355
| proper_subset(X354,X355) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_xboole_0])])]) ).
fof(i_0_248,lemma,
! [X512,X513] :
( ( ~ disjoint(X512,X513)
| set_difference(X512,X513) = X512 )
& ( set_difference(X512,X513) != X512
| disjoint(X512,X513) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t83_xboole_1])]) ).
fof(i_0_249,lemma,
! [X421,X422] :
( ~ subset(X421,X422)
| set_union2(X421,X422) = X422 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_xboole_1])]) ).
cnf(i_0_250,plain,
set_intersection2(X1,empty_set) = empty_set,
inference(split_conjunct,[status(thm)],[i_0_147]) ).
fof(i_0_251,plain,
! [X404,X405] :
( ~ disjoint(X404,X405)
| disjoint(X405,X404) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r1_xboole_0])]) ).
fof(i_0_252,lemma,
! [X457,X458] :
( ( set_difference(X457,X458) != empty_set
| subset(X457,X458) )
& ( ~ subset(X457,X458)
| set_difference(X457,X458) = empty_set ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_xboole_1])]) ).
fof(i_0_253,lemma,
! [X381,X382] :
( ( set_difference(X381,X382) != empty_set
| subset(X381,X382) )
& ( ~ subset(X381,X382)
| set_difference(X381,X382) = empty_set ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l32_xboole_1])]) ).
fof(i_0_254,plain,
! [X397] :
( ( element(esk18_1(X397),powerset(X397))
| empty(X397) )
& ( ~ empty(esk18_1(X397))
| empty(X397) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_148])])])]) ).
fof(i_0_255,plain,
! [X508,X509] :
( ~ in(X508,X509)
| ~ empty(X509) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_256,plain,
! [X252,X253] : set_union2(X252,X253) = set_union2(X253,X252),
inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0]) ).
fof(i_0_257,plain,
! [X250,X251] : unordered_pair(X250,X251) = unordered_pair(X251,X250),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(i_0_258,plain,
! [X400] :
( element(esk20_1(X400),powerset(X400))
& empty(esk20_1(X400)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(i_0_259,plain,
! [X265,X266,X267] :
( ( X265 != empty_set
| ~ in(X266,X265) )
& ( in(esk2_1(X267),X267)
| X267 = 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_149])])])])]) ).
fof(i_0_260,plain,
! [X371] : ~ proper_subset(X371,X371),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[i_0_150])]) ).
cnf(i_0_261,lemma,
singleton(X1) != empty_set,
inference(split_conjunct,[status(thm)],[i_0_151]) ).
fof(i_0_262,lemma,
! [X475] :
( ~ subset(X475,empty_set)
| X475 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_xboole_1])]) ).
fof(i_0_263,plain,
! [X358] : element(esk17_1(X358),X358),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_264,plain,
! [X360] : ~ empty(powerset(X360)),
inference(variable_rename,[status(thm)],[i_0_152]) ).
fof(i_0_265,plain,
! [X514,X515] :
( ~ empty(X514)
| X514 = X515
| ~ empty(X515) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_266,plain,
! [X367] : set_union2(X367,X367) = X367,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k2_xboole_0])]) ).
fof(i_0_267,plain,
! [X403] : subset(X403,X403),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(i_0_268,lemma,
powerset(empty_set) = singleton(empty_set),
inference(split_conjunct,[status(thm)],[t1_zfmisc_1]) ).
fof(i_0_269,plain,
! [X468] : set_difference(X468,empty_set) = X468,
inference(variable_rename,[status(thm)],[t3_boole]) ).
fof(i_0_270,plain,
! [X434] : set_union2(X434,empty_set) = X434,
inference(variable_rename,[status(thm)],[t1_boole]) ).
fof(i_0_271,lemma,
! [X447] : subset(empty_set,X447),
inference(variable_rename,[status(thm)],[t2_xboole_1]) ).
fof(i_0_272,plain,
! [X487] : set_difference(empty_set,X487) = empty_set,
inference(variable_rename,[status(thm)],[t4_boole]) ).
fof(i_0_273,lemma,
! [X524] : union(powerset(X524)) = X524,
inference(variable_rename,[status(thm)],[t99_zfmisc_1]) ).
fof(i_0_274,plain,
! [X505] :
( ~ empty(X505)
| X505 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_275,plain,
~ empty(esk21_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_153])]) ).
fof(i_0_276,plain,
empty(esk19_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_277,plain,
( X1 = unordered_pair(unordered_pair(esk6_4(X2,X3,X4,X1),esk7_4(X2,X3,X4,X1)),unordered_pair(esk6_4(X2,X3,X4,X1),esk6_4(X2,X3,X4,X1)))
| X4 != cartesian_product2(X2,X3)
| ~ in(X1,X4) ),
inference(rw,[status(thm)],[i_0_154,c_0_155]),
[final] ).
cnf(i_0_278,plain,
( X3 = cartesian_product2(X1,X2)
| esk8_3(X1,X2,X3) = unordered_pair(unordered_pair(esk9_3(X1,X2,X3),esk10_3(X1,X2,X3)),unordered_pair(esk9_3(X1,X2,X3),esk9_3(X1,X2,X3)))
| in(esk8_3(X1,X2,X3),X3) ),
inference(rw,[status(thm)],[i_0_156,c_0_155]),
[final] ).
cnf(i_0_279,plain,
( X3 = set_difference(X1,set_difference(X1,X2))
| ~ in(esk12_3(X1,X2,X3),X3)
| ~ in(esk12_3(X1,X2,X3),X2)
| ~ in(esk12_3(X1,X2,X3),X1) ),
inference(rw,[status(thm)],[i_0_157,c_0_158]),
[final] ).
cnf(i_0_280,plain,
( in(esk7_4(X1,X2,X3,X4),X2)
| ~ in(X4,X3)
| X3 != cartesian_product2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_281,plain,
( in(esk6_4(X1,X2,X3,X4),X1)
| ~ in(X4,X3)
| X3 != cartesian_product2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_282,plain,
( in(esk16_3(X1,X2,X3),X2)
| X3 = set_difference(X1,X2)
| ~ in(esk16_3(X1,X2,X3),X3)
| ~ in(esk16_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_283,plain,
( X3 = cartesian_product2(X1,X2)
| esk8_3(X1,X2,X3) != unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))
| ~ in(X5,X2)
| ~ in(X4,X1)
| ~ in(esk8_3(X1,X2,X3),X3) ),
inference(rw,[status(thm)],[i_0_160,c_0_155]),
[final] ).
cnf(i_0_284,plain,
( X3 = set_union2(X1,X2)
| ~ in(esk5_3(X1,X2,X3),X1)
| ~ in(esk5_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_285,plain,
( X3 = set_union2(X1,X2)
| ~ in(esk5_3(X1,X2,X3),X2)
| ~ in(esk5_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_286,plain,
( in(esk5_3(X1,X2,X3),X3)
| in(esk5_3(X1,X2,X3),X1)
| in(esk5_3(X1,X2,X3),X2)
| X3 = set_union2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_287,plain,
( in(esk16_3(X1,X2,X3),X3)
| X3 = set_difference(X1,X2)
| ~ in(esk16_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_288,plain,
( X3 = unordered_pair(X1,X2)
| esk4_3(X1,X2,X3) != X1
| ~ in(esk4_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_289,plain,
( X3 = unordered_pair(X1,X2)
| esk4_3(X1,X2,X3) != X2
| ~ in(esk4_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_290,plain,
( X3 = set_difference(X1,set_difference(X1,X2))
| in(esk12_3(X1,X2,X3),X3)
| in(esk12_3(X1,X2,X3),X1) ),
inference(rw,[status(thm)],[i_0_163,c_0_158]),
[final] ).
cnf(i_0_291,plain,
( X3 = set_difference(X1,set_difference(X1,X2))
| in(esk12_3(X1,X2,X3),X3)
| in(esk12_3(X1,X2,X3),X2) ),
inference(rw,[status(thm)],[i_0_164,c_0_158]),
[final] ).
cnf(i_0_292,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_165,c_0_155]),
[final] ).
cnf(i_0_293,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_166,c_0_155]),
[final] ).
cnf(i_0_294,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_167,c_0_155]),
[final] ).
cnf(i_0_295,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_168,c_0_155]),
[final] ).
cnf(i_0_296,plain,
( in(esk16_3(X1,X2,X3),X1)
| in(esk16_3(X1,X2,X3),X3)
| X3 = set_difference(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_297,plain,
( in(esk10_3(X1,X2,X3),X2)
| in(esk8_3(X1,X2,X3),X3)
| X3 = cartesian_product2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_298,plain,
( in(esk9_3(X1,X2,X3),X1)
| in(esk8_3(X1,X2,X3),X3)
| X3 = cartesian_product2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_299,plain,
( in(esk4_3(X1,X2,X3),X3)
| esk4_3(X1,X2,X3) = X1
| esk4_3(X1,X2,X3) = X2
| X3 = unordered_pair(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_300,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_169,c_0_155]),
[final] ).
cnf(i_0_301,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_170,c_0_155]),
[final] ).
cnf(i_0_302,plain,
~ empty(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))),
inference(rw,[status(thm)],[i_0_171,c_0_155]),
[final] ).
cnf(i_0_303,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_172,c_0_155]),c_0_155]),
[final] ).
cnf(i_0_304,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_173,c_0_155]),c_0_155]),
[final] ).
cnf(i_0_305,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_174,c_0_158]),c_0_158]),
[final] ).
cnf(i_0_306,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_175,c_0_155]),
[final] ).
cnf(i_0_307,lemma,
( ~ disjoint(X2,X3)
| ~ in(X1,set_difference(X2,set_difference(X2,X3))) ),
inference(rw,[status(thm)],[i_0_176,c_0_158]),
[final] ).
cnf(i_0_308,plain,
( X2 = union(X1)
| ~ in(esk14_2(X1,X2),X2)
| ~ in(esk14_2(X1,X2),X3)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_309,plain,
( in(esk13_3(X1,X2,X3),X1)
| ~ in(X3,X2)
| X2 != union(X1) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_310,plain,
( in(X1,esk13_3(X2,X3,X1))
| ~ in(X1,X3)
| X3 != union(X2) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_311,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_178]),
[final] ).
cnf(i_0_312,lemma,
( subset(X1,set_difference(X2,set_difference(X2,X3)))
| ~ subset(X1,X3)
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[i_0_179,c_0_158]),
[final] ).
cnf(i_0_313,lemma,
( disjoint(X1,X2)
| in(esk25_2(X1,X2),set_difference(X1,set_difference(X1,X2))) ),
inference(rw,[status(thm)],[i_0_180,c_0_158]),
[final] ).
cnf(i_0_314,plain,
( X2 = powerset(X1)
| ~ in(esk3_2(X1,X2),X2)
| ~ subset(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[i_0_181]),
[final] ).
cnf(i_0_315,lemma,
( in(X3,X1)
| subset(X1,set_difference(X2,unordered_pair(X3,X3)))
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[i_0_182,c_0_108]),
[final] ).
cnf(i_0_316,plain,
( X1 = X2
| ~ in(esk23_2(X1,X2),X1)
| ~ in(esk23_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_317,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_178]),
[final] ).
cnf(i_0_318,plain,
( in(X1,X4)
| X4 != set_difference(X2,set_difference(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_184,c_0_158]),
[final] ).
cnf(i_0_319,plain,
( in(esk14_2(X1,X2),esk15_2(X1,X2))
| in(esk14_2(X1,X2),X2)
| X2 = union(X1) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_320,lemma,
( subset(cartesian_product2(X1,X3),cartesian_product2(X2,X4))
| ~ subset(X1,X2)
| ~ subset(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_321,lemma,
( X1 = X2
| ~ subset(unordered_pair(X1,X1),unordered_pair(X2,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_186,c_0_108]),c_0_108]),
[final] ).
cnf(i_0_322,plain,
( X2 = unordered_pair(X1,X1)
| esk1_2(X1,X2) != X1
| ~ in(esk1_2(X1,X2),X2) ),
inference(rw,[status(thm)],[i_0_187,c_0_108]),
[final] ).
cnf(i_0_323,plain,
( in(X1,X2)
| X3 != set_difference(X2,set_difference(X2,X4))
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[i_0_188,c_0_158]),
[final] ).
cnf(i_0_324,plain,
( in(X1,X2)
| X3 != set_difference(X4,set_difference(X4,X2))
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[i_0_189,c_0_158]),
[final] ).
cnf(i_0_325,plain,
( in(X1,esk30_2(X3,X2))
| ~ subset(X1,X2)
| ~ in(X2,esk29_1(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_190]),
[final] ).
cnf(i_0_326,lemma,
subset(set_difference(X1,set_difference(X1,X2)),X1),
inference(rw,[status(thm)],[i_0_191,c_0_158]),
[final] ).
cnf(i_0_327,lemma,
( subset(set_difference(X1,X3),set_difference(X2,X3))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_192]),
[final] ).
cnf(i_0_328,lemma,
( subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))
| ~ subset(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_193]),
[final] ).
cnf(i_0_329,lemma,
( subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))
| ~ subset(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_193]),
[final] ).
cnf(i_0_330,lemma,
( set_difference(X1,unordered_pair(X2,X2)) != X1
| ~ in(X2,X1) ),
inference(rw,[status(thm)],[i_0_194,c_0_108]),
[final] ).
cnf(i_0_331,lemma,
( ~ in(X1,X2)
| ~ disjoint(unordered_pair(X1,X1),X2) ),
inference(rw,[status(thm)],[i_0_195,c_0_108]),
[final] ).
cnf(i_0_332,plain,
( in(esk15_2(X1,X2),X1)
| in(esk14_2(X1,X2),X2)
| X2 = union(X1) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_333,plain,
( in(esk3_2(X1,X2),X2)
| subset(esk3_2(X1,X2),X1)
| X2 = powerset(X1) ),
inference(split_conjunct,[status(thm)],[i_0_181]),
[final] ).
cnf(i_0_334,lemma,
( subset(set_union2(X1,X3),X2)
| ~ subset(X1,X2)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_196]),
[final] ).
cnf(i_0_335,lemma,
( subset(unordered_pair(X1,X3),X2)
| ~ in(X1,X2)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_197]),
[final] ).
cnf(i_0_336,plain,
( in(esk23_2(X1,X2),X1)
| in(esk23_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_337,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_198,c_0_108]),c_0_108]),
[final] ).
cnf(i_0_338,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_199,c_0_108]),c_0_108]),
[final] ).
cnf(i_0_339,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_200,c_0_158]),c_0_158]),
[final] ).
cnf(i_0_340,plain,
( element(subset_complement(X2,X1),powerset(X2))
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_201]),
[final] ).
cnf(i_0_341,plain,
( in(esk30_2(X1,X2),esk29_1(X1))
| ~ in(X2,esk29_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_190]),
[final] ).
cnf(i_0_342,plain,
( subset(X1,X2)
| ~ in(esk11_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_202]),
[final] ).
cnf(i_0_343,lemma,
( in(X1,X2)
| ~ subset(unordered_pair(X1,X1),X2) ),
inference(rw,[status(thm)],[i_0_203,c_0_108]),
[final] ).
cnf(i_0_344,lemma,
( in(X1,X2)
| ~ subset(unordered_pair(X1,X1),X2) ),
inference(rw,[status(thm)],[i_0_204,c_0_108]),
[final] ).
cnf(i_0_345,lemma,
( in(X1,X2)
| ~ subset(unordered_pair(X1,X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_197]),
[final] ).
cnf(i_0_346,lemma,
( in(X1,X2)
| ~ subset(unordered_pair(X3,X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_197]),
[final] ).
cnf(i_0_347,plain,
( disjoint(X1,X2)
| set_difference(X1,set_difference(X1,X2)) != empty_set ),
inference(rw,[status(thm)],[i_0_205,c_0_158]),
[final] ).
cnf(i_0_348,plain,
( in(X1,X3)
| in(X1,X4)
| ~ in(X1,X2)
| X2 != set_union2(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_349,plain,
( in(X1,X3)
| in(X1,X4)
| ~ in(X1,X2)
| X4 != set_difference(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_350,plain,
( in(X3,esk29_1(X2))
| ~ in(X1,esk29_1(X2))
| ~ subset(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_190]),
[final] ).
cnf(i_0_351,lemma,
( in(X3,esk22_1(X2))
| ~ in(X1,esk22_1(X2))
| ~ subset(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_206]),
[final] ).
cnf(i_0_352,plain,
( are_equipotent(X1,esk29_1(X2))
| in(X1,esk29_1(X2))
| ~ subset(X1,esk29_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_190]),
[final] ).
cnf(i_0_353,lemma,
( are_equipotent(X1,esk22_1(X2))
| in(X1,esk22_1(X2))
| ~ subset(X1,esk22_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_206]),
[final] ).
cnf(i_0_354,plain,
( subset_complement(X2,subset_complement(X2,X1)) = X1
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_207]),
[final] ).
cnf(i_0_355,plain,
( X2 = unordered_pair(X1,X1)
| esk1_2(X1,X2) = X1
| in(esk1_2(X1,X2),X2) ),
inference(rw,[status(thm)],[i_0_208,c_0_108]),
[final] ).
cnf(i_0_356,lemma,
( in(X3,X2)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_209]),
[final] ).
cnf(i_0_357,plain,
( ~ in(X1,X2)
| ~ in(X1,X3)
| X3 != set_difference(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_358,plain,
( in(X1,X4)
| ~ in(X1,X2)
| ~ in(X2,X3)
| X4 != union(X3) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_359,lemma,
( ~ in(X1,X2)
| ~ in(X1,X3)
| ~ disjoint(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_210]),
[final] ).
cnf(i_0_360,lemma,
( subset(X1,unordered_pair(X2,X2))
| X1 != unordered_pair(X2,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_211,c_0_108]),c_0_108]),
[final] ).
cnf(i_0_361,lemma,
( subset(X1,unordered_pair(X2,X2))
| X1 != unordered_pair(X2,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_212,c_0_108]),c_0_108]),
[final] ).
cnf(i_0_362,lemma,
( set_union2(unordered_pair(X1,X1),X2) = X2
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_213,c_0_108]),
[final] ).
cnf(i_0_363,lemma,
( set_union2(unordered_pair(X1,X1),X2) = X2
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_214,c_0_108]),
[final] ).
cnf(i_0_364,lemma,
( set_difference(X1,set_difference(X1,X2)) = X1
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[i_0_215,c_0_158]),
[final] ).
cnf(i_0_365,lemma,
( X2 = set_union2(X1,set_difference(X2,X1))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_216]),
[final] ).
cnf(i_0_366,lemma,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_217,c_0_108]),
[final] ).
cnf(i_0_367,lemma,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_218,c_0_108]),
[final] ).
cnf(i_0_368,plain,
( set_difference(X1,set_difference(X1,X2)) = empty_set
| ~ disjoint(X1,X2) ),
inference(rw,[status(thm)],[i_0_219,c_0_158]),
[final] ).
cnf(i_0_369,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_difference(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_370,plain,
( in(X1,X3)
| ~ in(X1,X2)
| X3 != set_union2(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_371,plain,
( in(X1,X3)
| ~ in(X1,X2)
| X3 != set_union2(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_372,plain,
( subset_complement(X2,X1) = set_difference(X2,X1)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_220]),
[final] ).
cnf(i_0_373,lemma,
( disjoint(X1,X3)
| ~ subset(X1,X2)
| ~ disjoint(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_221]),
[final] ).
cnf(i_0_374,lemma,
( subset(X1,X3)
| ~ subset(X1,X2)
| ~ subset(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_222]),
[final] ).
cnf(i_0_375,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_202]),
[final] ).
cnf(i_0_376,lemma,
( in(powerset(X1),esk22_1(X2))
| ~ in(X1,esk22_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_206]),
[final] ).
cnf(i_0_377,lemma,
( set_difference(X2,unordered_pair(X1,X1)) = X2
| in(X1,X2) ),
inference(rw,[status(thm)],[i_0_223,c_0_108]),
[final] ).
cnf(i_0_378,lemma,
( in(esk24_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_210]),
[final] ).
cnf(i_0_379,lemma,
( in(esk24_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_210]),
[final] ).
cnf(i_0_380,plain,
( in(esk11_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_202]),
[final] ).
cnf(i_0_381,lemma,
( in(X1,X2)
| disjoint(unordered_pair(X1,X1),X2) ),
inference(rw,[status(thm)],[i_0_224,c_0_108]),
[final] ).
cnf(i_0_382,lemma,
set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_225]),
[final] ).
cnf(i_0_383,lemma,
set_union2(X1,set_difference(X2,X1)) = set_union2(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_226]),
[final] ).
cnf(i_0_384,plain,
( empty(X1)
| ~ empty(set_union2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_227]),
[final] ).
cnf(i_0_385,plain,
( empty(X1)
| ~ empty(set_union2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_228]),
[final] ).
cnf(i_0_386,negated_conjecture,
~ in(esk28_0,subset_complement(esk26_0,esk27_0)),
inference(split_conjunct,[status(thm)],[i_0_229]),
[final] ).
cnf(i_0_387,plain,
( X1 = X3
| X1 = X4
| ~ in(X1,X2)
| X2 != unordered_pair(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_388,plain,
( X1 = X3
| X2 != unordered_pair(X3,X3)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_230,c_0_108]),
[final] ).
cnf(i_0_389,lemma,
( X1 = X3
| X1 = X4
| unordered_pair(X1,X2) != unordered_pair(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_231]),
[final] ).
cnf(i_0_390,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_232]),
[final] ).
cnf(i_0_391,lemma,
( X1 = X2
| unordered_pair(X1,X1) != unordered_pair(X2,X3) ),
inference(rw,[status(thm)],[i_0_233,c_0_108]),
[final] ).
cnf(i_0_392,lemma,
( X2 = X3
| unordered_pair(X1,X1) != unordered_pair(X2,X3) ),
inference(rw,[status(thm)],[i_0_234,c_0_108]),
[final] ).
cnf(i_0_393,plain,
( subset(X1,X3)
| ~ in(X1,X2)
| X2 != powerset(X3) ),
inference(split_conjunct,[status(thm)],[i_0_181]),
[final] ).
cnf(i_0_394,plain,
( in(X1,X3)
| ~ subset(X1,X2)
| X3 != powerset(X2) ),
inference(split_conjunct,[status(thm)],[i_0_181]),
[final] ).
cnf(i_0_395,lemma,
( ~ subset(X1,X2)
| ~ proper_subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_235]),
[final] ).
cnf(i_0_396,plain,
( ~ proper_subset(X1,X2)
| ~ proper_subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_236]),
[final] ).
cnf(i_0_397,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_237]),
[final] ).
cnf(i_0_398,lemma,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_238]),
[final] ).
cnf(i_0_399,lemma,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_239]),
[final] ).
cnf(i_0_400,lemma,
( subset(X1,unordered_pair(X2,X2))
| X1 != empty_set ),
inference(rw,[status(thm)],[i_0_240,c_0_108]),
[final] ).
cnf(i_0_401,lemma,
( subset(X1,unordered_pair(X2,X2))
| X1 != empty_set ),
inference(rw,[status(thm)],[i_0_241,c_0_108]),
[final] ).
cnf(i_0_402,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X2,X2) ),
inference(rw,[status(thm)],[i_0_242,c_0_108]),
[final] ).
cnf(i_0_403,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_404,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_405,plain,
( element(X1,X2)
| empty(X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_243]),
[final] ).
cnf(i_0_406,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_243]),
[final] ).
cnf(i_0_407,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rw,[status(thm)],[i_0_244,c_0_158]),
[final] ).
cnf(i_0_408,lemma,
subset(set_difference(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_245]),
[final] ).
cnf(i_0_409,lemma,
subset(X1,set_union2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_246]),
[final] ).
cnf(i_0_410,plain,
( X1 = X2
| proper_subset(X1,X2)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_411,lemma,
( disjoint(X1,X2)
| set_difference(X1,X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_248]),
[final] ).
cnf(i_0_412,lemma,
( set_difference(X1,X2) = X1
| ~ disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_248]),
[final] ).
cnf(i_0_413,lemma,
( set_union2(X1,X2) = X2
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_249]),
[final] ).
cnf(i_0_414,plain,
set_difference(X1,set_difference(X1,empty_set)) = empty_set,
inference(rw,[status(thm)],[i_0_250,c_0_158]),
[final] ).
cnf(i_0_415,plain,
( disjoint(X2,X1)
| ~ disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_251]),
[final] ).
cnf(i_0_416,plain,
( subset(X1,X2)
| ~ proper_subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_417,lemma,
( subset(X1,X2)
| set_difference(X1,X2) != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_252]),
[final] ).
cnf(i_0_418,lemma,
( subset(X1,X2)
| set_difference(X1,X2) != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_253]),
[final] ).
cnf(i_0_419,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_252]),
[final] ).
cnf(i_0_420,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_253]),
[final] ).
cnf(i_0_421,plain,
( empty(X1)
| ~ element(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_243]),
[final] ).
cnf(i_0_422,plain,
( element(esk18_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_254]),
[final] ).
cnf(i_0_423,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_255]),
[final] ).
cnf(i_0_424,plain,
( element(X1,X2)
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_243]),
[final] ).
cnf(i_0_425,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_256]),
[final] ).
cnf(i_0_426,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_257]),
[final] ).
cnf(i_0_427,plain,
element(esk20_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_258]),
[final] ).
cnf(i_0_428,plain,
( X1 != X2
| ~ proper_subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_429,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_430,plain,
~ proper_subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_260]),
[final] ).
cnf(i_0_431,lemma,
unordered_pair(X1,X1) != empty_set,
inference(rw,[status(thm)],[i_0_261,c_0_108]),
[final] ).
cnf(i_0_432,plain,
( in(esk2_1(X1),X1)
| X1 = empty_set ),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_433,lemma,
( X1 = empty_set
| ~ subset(X1,empty_set) ),
inference(split_conjunct,[status(thm)],[i_0_262]),
[final] ).
cnf(i_0_434,plain,
( empty(X1)
| ~ empty(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_254]),
[final] ).
cnf(i_0_435,plain,
element(esk17_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_263]),
[final] ).
cnf(i_0_436,plain,
in(X1,esk29_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_190]),
[final] ).
cnf(i_0_437,lemma,
in(X1,esk22_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_206]),
[final] ).
cnf(i_0_438,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_232]),
[final] ).
cnf(i_0_439,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_232]),
[final] ).
cnf(i_0_440,negated_conjecture,
~ in(esk28_0,esk27_0),
inference(split_conjunct,[status(thm)],[i_0_229]),
[final] ).
cnf(i_0_441,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_442,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_265]),
[final] ).
cnf(i_0_443,negated_conjecture,
element(esk27_0,powerset(esk26_0)),
inference(split_conjunct,[status(thm)],[i_0_229]),
[final] ).
cnf(i_0_444,plain,
set_union2(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_266]),
[final] ).
cnf(i_0_445,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_267]),
[final] ).
cnf(i_0_446,lemma,
powerset(empty_set) = unordered_pair(empty_set,empty_set),
inference(rw,[status(thm)],[i_0_268,c_0_108]),
[final] ).
cnf(i_0_447,plain,
set_difference(X1,empty_set) = X1,
inference(split_conjunct,[status(thm)],[i_0_269]),
[final] ).
cnf(i_0_448,plain,
set_union2(X1,empty_set) = X1,
inference(split_conjunct,[status(thm)],[i_0_270]),
[final] ).
cnf(i_0_449,lemma,
subset(empty_set,X1),
inference(split_conjunct,[status(thm)],[i_0_271]),
[final] ).
cnf(i_0_450,plain,
set_difference(empty_set,X1) = empty_set,
inference(split_conjunct,[status(thm)],[i_0_272]),
[final] ).
cnf(i_0_451,negated_conjecture,
element(esk28_0,esk26_0),
inference(split_conjunct,[status(thm)],[i_0_229]),
[final] ).
cnf(i_0_452,lemma,
union(powerset(X1)) = X1,
inference(split_conjunct,[status(thm)],[i_0_273]),
[final] ).
cnf(i_0_453,plain,
empty(esk20_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_258]),
[final] ).
cnf(i_0_454,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_274]),
[final] ).
cnf(i_0_455,plain,
~ empty(esk21_0),
inference(split_conjunct,[status(thm)],[i_0_275]),
[final] ).
cnf(i_0_456,plain,
empty(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_276]),
[final] ).
cnf(i_0_457,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_458,negated_conjecture,
esk26_0 != empty_set,
inference(split_conjunct,[status(thm)],[i_0_229]),
[final] ).
cnf(i_0_459,axiom,
X1 = X1 ).
cnf(i_0_460,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_461,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_462,axiom,
( X1 != X2
| unordered_pair(X1,X3) = unordered_pair(X2,X3) ) ).
cnf(i_0_463,axiom,
( X1 != X2
| unordered_pair(X3,X1) = unordered_pair(X3,X2) ) ).
cnf(i_0_464,axiom,
( X1 != X2
| set_union2(X1,X3) = set_union2(X2,X3) ) ).
cnf(i_0_465,axiom,
( X1 != X2
| set_union2(X3,X1) = set_union2(X3,X2) ) ).
cnf(i_0_466,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_467,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_468,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_469,axiom,
( X1 != X2
| union(X1) = union(X2) ) ).
cnf(i_0_470,axiom,
( X1 != X2
| subset_complement(X1,X3) = subset_complement(X2,X3) ) ).
cnf(i_0_471,axiom,
( X1 != X2
| subset_complement(X3,X1) = subset_complement(X3,X2) ) ).
cnf(i_0_472,axiom,
( X1 != X2
| powerset(X1) = powerset(X2) ) ).
cnf(i_0_473,axiom,
( X1 != X2
| esk1_2(X1,X3) = esk1_2(X2,X3) ) ).
cnf(i_0_474,axiom,
( X1 != X2
| esk1_2(X3,X1) = esk1_2(X3,X2) ) ).
cnf(i_0_475,axiom,
( X1 != X2
| cartesian_product2(X1,X3) = cartesian_product2(X2,X3) ) ).
cnf(i_0_476,axiom,
( X1 != X2
| cartesian_product2(X3,X1) = cartesian_product2(X3,X2) ) ).
cnf(i_0_477,axiom,
( X1 != X2
| esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).
cnf(i_0_478,axiom,
( X1 != X2
| esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).
cnf(i_0_479,axiom,
( X1 != X2
| esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).
cnf(i_0_480,axiom,
( X1 != X2
| set_difference(X1,X3) = set_difference(X2,X3) ) ).
cnf(i_0_481,axiom,
( X1 != X2
| set_difference(X3,X1) = set_difference(X3,X2) ) ).
cnf(i_0_482,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_483,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_484,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_485,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_486,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_487,axiom,
( X1 != X2
| ~ disjoint(X1,X3)
| disjoint(X2,X3) ) ).
cnf(i_0_488,axiom,
( X1 != X2
| ~ disjoint(X3,X1)
| disjoint(X3,X2) ) ).
cnf(i_0_489,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_490,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_491,axiom,
( X1 != X2
| ~ are_equipotent(X1,X3)
| are_equipotent(X2,X3) ) ).
cnf(i_0_492,axiom,
( X1 != X2
| ~ are_equipotent(X3,X1)
| are_equipotent(X3,X2) ) ).
cnf(i_0_493,axiom,
( X1 != X2
| ~ proper_subset(X1,X3)
| proper_subset(X2,X3) ) ).
cnf(i_0_494,axiom,
( X1 != X2
| ~ proper_subset(X3,X1)
| proper_subset(X3,X2) ) ).
cnf(i_0_459_001,axiom,
X1 = X1 ).
cnf(i_0_460_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_461_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_462_004,axiom,
( X1 != X2
| unordered_pair(X1,X3) = unordered_pair(X2,X3) ) ).
cnf(i_0_463_005,axiom,
( X1 != X2
| unordered_pair(X3,X1) = unordered_pair(X3,X2) ) ).
cnf(i_0_464_006,axiom,
( X1 != X2
| set_union2(X1,X3) = set_union2(X2,X3) ) ).
cnf(i_0_465_007,axiom,
( X1 != X2
| set_union2(X3,X1) = set_union2(X3,X2) ) ).
cnf(i_0_466_008,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_467_009,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_468_010,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_469_011,axiom,
( X1 != X2
| union(X1) = union(X2) ) ).
cnf(i_0_470_012,axiom,
( X1 != X2
| subset_complement(X1,X3) = subset_complement(X2,X3) ) ).
cnf(i_0_471_013,axiom,
( X1 != X2
| subset_complement(X3,X1) = subset_complement(X3,X2) ) ).
cnf(i_0_472_014,axiom,
( X1 != X2
| powerset(X1) = powerset(X2) ) ).
cnf(i_0_473_015,axiom,
( X1 != X2
| esk1_2(X1,X3) = esk1_2(X2,X3) ) ).
cnf(i_0_474_016,axiom,
( X1 != X2
| esk1_2(X3,X1) = esk1_2(X3,X2) ) ).
cnf(i_0_475_017,axiom,
( X1 != X2
| cartesian_product2(X1,X3) = cartesian_product2(X2,X3) ) ).
cnf(i_0_476_018,axiom,
( X1 != X2
| cartesian_product2(X3,X1) = cartesian_product2(X3,X2) ) ).
cnf(i_0_477_019,axiom,
( X1 != X2
| esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).
cnf(i_0_478_020,axiom,
( X1 != X2
| esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).
cnf(i_0_479_021,axiom,
( X1 != X2
| esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).
cnf(i_0_480_022,axiom,
( X1 != X2
| set_difference(X1,X3) = set_difference(X2,X3) ) ).
cnf(i_0_481_023,axiom,
( X1 != X2
| set_difference(X3,X1) = set_difference(X3,X2) ) ).
cnf(i_0_482_024,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_483_025,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_484_026,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_485_027,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_486_028,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_487_029,axiom,
( X1 != X2
| ~ disjoint(X1,X3)
| disjoint(X2,X3) ) ).
cnf(i_0_488_030,axiom,
( X1 != X2
| ~ disjoint(X3,X1)
| disjoint(X3,X2) ) ).
cnf(i_0_489_031,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_490_032,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_491_033,axiom,
( X1 != X2
| ~ are_equipotent(X1,X3)
| are_equipotent(X2,X3) ) ).
cnf(i_0_492_034,axiom,
( X1 != X2
| ~ are_equipotent(X3,X1)
| are_equipotent(X3,X2) ) ).
cnf(i_0_493_035,axiom,
( X1 != X2
| ~ proper_subset(X1,X3)
| proper_subset(X2,X3) ) ).
cnf(i_0_494_036,axiom,
( X1 != X2
| ~ proper_subset(X3,X1)
| proper_subset(X3,X2) ) ).
cnf(i_0_495,plain,
( ~ in(X1,cartesian_product2(X2,X3))
| X1 = unordered_pair(unordered_pair(esk6_4(X2,X3,cartesian_product2(X2,X3),X1),esk7_4(X2,X3,cartesian_product2(X2,X3),X1)),unordered_pair(esk6_4(X2,X3,cartesian_product2(X2,X3),X1),esk6_4(X2,X3,cartesian_product2(X2,X3),X1))) ),
inference(equality_inference,[],[277]) ).
cnf(i_0_496,plain,
( ~ in(X1,cartesian_product2(X2,X3))
| in(esk7_4(X2,X3,cartesian_product2(X2,X3),X1),X3) ),
inference(equality_inference,[],[280]) ).
cnf(i_0_497,plain,
( ~ in(X1,cartesian_product2(X2,X3))
| in(esk6_4(X2,X3,cartesian_product2(X2,X3),X1),X2) ),
inference(equality_inference,[],[281]) ).
cnf(i_0_498,plain,
X1 = X1,
inference(equality_inference,[],[303]) ).
cnf(i_0_499,plain,
X1 = X1,
inference(equality_inference,[],[304]) ).
cnf(i_0_500,plain,
( ~ in(X1,union(X2))
| in(esk13_3(X2,union(X2),X1),X2) ),
inference(equality_inference,[],[309]) ).
cnf(i_0_501,plain,
( ~ in(X1,union(X2))
| in(X1,esk13_3(X2,union(X2),X1)) ),
inference(equality_inference,[],[310]) ).
cnf(i_0_502,plain,
( ~ in(X1,X2)
| ~ in(X1,X3)
| in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(equality_inference,[],[318]) ).
cnf(i_0_503,plain,
( ~ in(X1,set_difference(X2,set_difference(X2,X3)))
| in(X1,X3) ),
inference(equality_inference,[],[324]) ).
cnf(i_0_504,plain,
( in(X1,X2)
| in(X1,X3)
| ~ in(X1,set_union2(X2,X3)) ),
inference(equality_inference,[],[348]) ).
cnf(i_0_505,plain,
( in(X1,X2)
| in(X1,set_difference(X3,X2))
| ~ in(X1,X3) ),
inference(equality_inference,[],[349]) ).
cnf(i_0_506,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(equality_inference,[],[357]) ).
cnf(i_0_507,plain,
( in(X1,union(X2))
| ~ in(X1,X3)
| ~ in(X3,X2) ),
inference(equality_inference,[],[358]) ).
cnf(i_0_508,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(equality_inference,[],[369]) ).
cnf(i_0_509,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X2) ),
inference(equality_inference,[],[370]) ).
cnf(i_0_510,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X3) ),
inference(equality_inference,[],[371]) ).
cnf(i_0_511,plain,
( X1 = X2
| X1 = X3
| ~ in(X1,unordered_pair(X2,X3)) ),
inference(equality_inference,[],[387]) ).
cnf(i_0_512,plain,
( ~ in(X1,unordered_pair(X2,X2))
| X1 = X2 ),
inference(equality_inference,[],[388]) ).
cnf(i_0_513,plain,
( X1 = X1
| X1 = X2 ),
inference(equality_inference,[],[389]) ).
cnf(i_0_514,plain,
X1 = X1,
inference(equality_inference,[],[391]) ).
cnf(i_0_515,plain,
X1 = X1,
inference(equality_inference,[],[392]) ).
cnf(i_0_516,plain,
( subset(X1,X2)
| ~ in(X1,powerset(X2)) ),
inference(equality_inference,[],[393]) ).
cnf(i_0_517,plain,
( in(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(equality_inference,[],[394]) ).
cnf(i_0_518,plain,
subset(empty_set,unordered_pair(X1,X1)),
inference(equality_inference,[],[401]) ).
cnf(i_0_519,plain,
~ proper_subset(X1,X1),
inference(equality_inference,[],[428]) ).
cnf(i_0_520,plain,
~ in(X1,empty_set),
inference(equality_inference,[],[429]) ).
cnf(i_0_521,plain,
subset(X1,X1),
inference(equality_inference,[],[438]) ).
cnf(i_0_522,plain,
subset(X1,X1),
inference(equality_inference,[],[439]) ).
cnf(i_0_523,plain,
element(subset_complement(esk26_0,esk27_0),powerset(esk26_0)),
inference(scs_inference,[],[i_0_443,i_0_340]) ).
cnf(i_0_524,plain,
( ~ element(X1,powerset(X2))
| element(subset_complement(X2,X1),powerset(X2)) ),
inference(rename_variables,[],[i_0_340]) ).
cnf(i_0_525,plain,
in(X1,unordered_pair(X1,X2)),
inference(scs_inference,[],[i_0_443,i_0_445,i_0_340,i_0_345]) ).
cnf(i_0_526,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_445]) ).
cnf(i_0_527,plain,
( ~ subset(unordered_pair(X1,X2),X3)
| in(X1,X3) ),
inference(rename_variables,[],[i_0_345]) ).
cnf(i_0_528,plain,
in(X1,unordered_pair(X2,X1)),
inference(scs_inference,[],[i_0_443,i_0_445,i_0_526,i_0_340,i_0_345,i_0_346]) ).
cnf(i_0_529,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_445]) ).
cnf(i_0_530,plain,
( ~ subset(unordered_pair(X1,X2),X3)
| in(X2,X3) ),
inference(rename_variables,[],[i_0_346]) ).
cnf(i_0_531,plain,
subset_complement(esk26_0,esk27_0) = set_difference(esk26_0,esk27_0),
inference(scs_inference,[],[i_0_443,i_0_445,i_0_526,i_0_340,i_0_345,i_0_346,i_0_372]) ).
cnf(i_0_532,plain,
( ~ element(X1,powerset(X2))
| subset_complement(X2,X1) = set_difference(X2,X1) ),
inference(rename_variables,[],[i_0_372]) ).
cnf(i_0_533,plain,
~ in(esk28_0,set_difference(X1,set_difference(X1,subset_complement(esk26_0,esk27_0)))),
inference(scs_inference,[],[i_0_386,i_0_443,i_0_445,i_0_526,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503]) ).
cnf(i_0_534,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_535,plain,
~ in(esk28_0,set_difference(subset_complement(esk26_0,esk27_0),X1)),
inference(scs_inference,[],[i_0_386,i_0_443,i_0_445,i_0_526,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508]) ).
cnf(i_0_536,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_508]) ).
cnf(i_0_537,plain,
in(X1,set_union2(esk29_1(X1),X2)),
inference(scs_inference,[],[i_0_386,i_0_443,i_0_445,i_0_526,i_0_436,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509]) ).
cnf(i_0_538,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_509]) ).
cnf(i_0_539,plain,
in(X1,set_union2(X2,esk29_1(X1))),
inference(scs_inference,[],[i_0_386,i_0_443,i_0_445,i_0_526,i_0_436,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510]) ).
cnf(i_0_540,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_510]) ).
cnf(i_0_541,plain,
~ in(esk26_0,unordered_pair(empty_set,empty_set)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_436,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512]) ).
cnf(i_0_542,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_512]) ).
cnf(i_0_543,plain,
in(X1,powerset(X1)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_436,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517]) ).
cnf(i_0_544,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_545,plain,
in(esk30_2(X1,X1),esk29_1(X1)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_436,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341]) ).
cnf(i_0_546,plain,
( ~ in(X1,esk29_1(X2))
| in(esk30_2(X2,X1),esk29_1(X2)) ),
inference(rename_variables,[],[i_0_341]) ).
cnf(i_0_547,plain,
disjoint(empty_set,empty_set),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_436,i_0_407,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347]) ).
cnf(i_0_548,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_407]) ).
cnf(i_0_549,plain,
( set_difference(X1,set_difference(X1,X2)) != empty_set
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_550,plain,
disjoint(empty_set,X1),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_436,i_0_407,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378]) ).
cnf(i_0_551,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_520]) ).
cnf(i_0_552,plain,
( in(esk24_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_378]) ).
cnf(i_0_553,plain,
disjoint(X1,empty_set),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_436,i_0_407,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379]) ).
cnf(i_0_554,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_520]) ).
cnf(i_0_555,plain,
( in(esk24_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_379]) ).
cnf(i_0_556,plain,
~ in(esk29_1(X1),X1),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_436,i_0_407,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397]) ).
cnf(i_0_557,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_397]) ).
cnf(i_0_558,plain,
subset(set_union2(empty_set,empty_set),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_444,i_0_436,i_0_407,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401]) ).
cnf(i_0_559,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_560,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_401]) ).
cnf(i_0_561,plain,
disjoint(X1,set_difference(X1,X1)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_444,i_0_436,i_0_407,i_0_548,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411]) ).
cnf(i_0_562,plain,
( set_difference(X1,X2) != X1
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_411]) ).
cnf(i_0_563,plain,
disjoint(set_difference(X1,X1),X1),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_444,i_0_436,i_0_407,i_0_548,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415]) ).
cnf(i_0_564,plain,
( ~ disjoint(X1,X2)
| disjoint(X2,X1) ),
inference(rename_variables,[],[i_0_415]) ).
cnf(i_0_565,plain,
subset(X1,set_difference(X1,empty_set)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_444,i_0_436,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418]) ).
cnf(i_0_566,plain,
( set_difference(X1,X2) != empty_set
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_418]) ).
cnf(i_0_567,plain,
~ in(X1,esk19_0),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_444,i_0_436,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423]) ).
cnf(i_0_568,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_423]) ).
cnf(i_0_569,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_444,i_0_559,i_0_436,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429]) ).
cnf(i_0_570,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_571,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_429]) ).
cnf(i_0_572,plain,
in(esk2_1(esk26_0),esk26_0),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_444,i_0_559,i_0_436,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432]) ).
cnf(i_0_573,plain,
( X1 = empty_set
| in(esk2_1(X1),X1) ),
inference(rename_variables,[],[i_0_432]) ).
cnf(i_0_574,plain,
subset(set_union2(X1,X1),X1),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_444,i_0_559,i_0_570,i_0_436,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438]) ).
cnf(i_0_575,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_438]) ).
cnf(i_0_576,plain,
subset(set_union2(X1,X2),set_union2(X2,X1)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_444,i_0_559,i_0_570,i_0_425,i_0_436,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439]) ).
cnf(i_0_577,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_578,plain,
~ empty(esk26_0),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_444,i_0_559,i_0_570,i_0_425,i_0_436,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454]) ).
cnf(i_0_579,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_454]) ).
cnf(i_0_580,plain,
~ in(X1,cartesian_product2(X2,empty_set)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_444,i_0_559,i_0_570,i_0_425,i_0_436,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496]) ).
cnf(i_0_581,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_520]) ).
cnf(i_0_582,plain,
( in(esk7_4(X1,X2,cartesian_product2(X1,X2),X3),X2)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_583,plain,
~ in(X1,cartesian_product2(empty_set,X2)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_444,i_0_559,i_0_570,i_0_425,i_0_436,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497]) ).
cnf(i_0_584,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_520]) ).
cnf(i_0_585,plain,
( in(esk6_4(X1,X2,cartesian_product2(X1,X2),X3),X1)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(rename_variables,[],[i_0_497]) ).
cnf(i_0_586,plain,
~ in(X1,union(empty_set)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_444,i_0_559,i_0_570,i_0_425,i_0_436,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500]) ).
cnf(i_0_587,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_520]) ).
cnf(i_0_588,plain,
( in(esk13_3(X1,union(X1),X2),X1)
| ~ in(X2,union(X1)) ),
inference(rename_variables,[],[i_0_500]) ).
cnf(i_0_589,plain,
~ in(X1,set_difference(X2,esk29_1(X1))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_444,i_0_559,i_0_570,i_0_425,i_0_436,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506]) ).
cnf(i_0_590,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_506]) ).
cnf(i_0_591,plain,
X1 = set_union2(X1,X1),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_444,i_0_559,i_0_570,i_0_425,i_0_436,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460]) ).
cnf(i_0_592,plain,
~ in(esk28_0,set_union2(subset_complement(esk26_0,esk27_0),subset_complement(esk26_0,esk27_0))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_444,i_0_559,i_0_570,i_0_425,i_0_436,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483]) ).
cnf(i_0_593,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_594,plain,
esk19_0 = empty_set,
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_425,i_0_436,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336]) ).
cnf(i_0_595,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_520]) ).
cnf(i_0_596,plain,
( in(esk23_2(X1,X2),X1)
| in(esk23_2(X1,X2),X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_336]) ).
cnf(i_0_597,plain,
~ in(esk29_1(esk26_0),esk27_0),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_425,i_0_436,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356]) ).
cnf(i_0_598,plain,
( ~ element(X1,powerset(X2))
| ~ in(X3,X1)
| in(X3,X2) ),
inference(rename_variables,[],[i_0_356]) ).
cnf(i_0_599,plain,
~ in(esk28_0,set_union2(set_difference(subset_complement(esk26_0,esk27_0),X1),set_difference(subset_complement(esk26_0,esk27_0),X1))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_593,i_0_425,i_0_436,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369]) ).
cnf(i_0_600,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_601,plain,
( X1 != set_difference(X2,X3)
| in(X4,X2)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_369]) ).
cnf(i_0_602,plain,
in(esk26_0,set_union2(set_union2(esk29_1(esk26_0),X1),set_union2(esk29_1(esk26_0),X1))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_425,i_0_436,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370]) ).
cnf(i_0_603,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_604,plain,
in(X1,esk29_1(X1)),
inference(rename_variables,[],[i_0_436]) ).
cnf(i_0_605,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_370]) ).
cnf(i_0_606,plain,
in(X1,set_union2(set_union2(X2,esk29_1(X1)),set_union2(X2,esk29_1(X1)))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_425,i_0_436,i_0_604,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371]) ).
cnf(i_0_607,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_608,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X3) ),
inference(rename_variables,[],[i_0_371]) ).
cnf(i_0_609,plain,
~ subset(esk29_1(esk28_0),subset_complement(esk26_0,esk27_0)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_425,i_0_436,i_0_604,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375]) ).
cnf(i_0_610,plain,
in(X1,esk29_1(X1)),
inference(rename_variables,[],[i_0_436]) ).
cnf(i_0_611,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_375]) ).
cnf(i_0_612,plain,
~ in(esk26_0,set_union2(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_425,i_0_436,i_0_604,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388]) ).
cnf(i_0_613,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_614,plain,
( X1 != unordered_pair(X2,X2)
| ~ in(X3,X1)
| X3 = X2 ),
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_615,plain,
X1 = set_difference(X1,empty_set),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_425,i_0_436,i_0_604,i_0_408,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390]) ).
cnf(i_0_616,plain,
subset(set_difference(X1,X2),X1),
inference(rename_variables,[],[i_0_408]) ).
cnf(i_0_617,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_390]) ).
cnf(i_0_618,plain,
in(X1,set_union2(powerset(X1),powerset(X1))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_425,i_0_436,i_0_604,i_0_408,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394]) ).
cnf(i_0_619,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_620,plain,
( X1 != powerset(X2)
| in(X3,X1)
| ~ subset(X3,X2) ),
inference(rename_variables,[],[i_0_394]) ).
cnf(i_0_621,plain,
in(set_union2(X1,X1),set_difference(unordered_pair(X1,X2),empty_set)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_425,i_0_436,i_0_604,i_0_408,i_0_447,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403]) ).
cnf(i_0_622,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_447]) ).
cnf(i_0_623,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X2 ),
inference(rename_variables,[],[i_0_403]) ).
cnf(i_0_624,plain,
in(set_union2(X1,X1),set_difference(unordered_pair(X2,X1),empty_set)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_425,i_0_436,i_0_604,i_0_408,i_0_447,i_0_622,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404]) ).
cnf(i_0_625,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_447]) ).
cnf(i_0_626,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X3 ),
inference(rename_variables,[],[i_0_404]) ).
cnf(i_0_627,plain,
in(esk17_1(esk21_0),esk21_0),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_425,i_0_435,i_0_436,i_0_604,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406]) ).
cnf(i_0_628,plain,
element(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_435]) ).
cnf(i_0_629,plain,
( empty(X1)
| ~ element(X2,X1)
| in(X2,X1) ),
inference(rename_variables,[],[i_0_406]) ).
cnf(i_0_630,plain,
~ element(esk21_0,esk19_0),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_425,i_0_435,i_0_436,i_0_604,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421]) ).
cnf(i_0_631,plain,
( ~ empty(X1)
| empty(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_421]) ).
cnf(i_0_632,plain,
in(esk28_0,set_difference(esk29_1(esk28_0),subset_complement(esk26_0,esk27_0))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505]) ).
cnf(i_0_633,plain,
in(X1,esk29_1(X1)),
inference(rename_variables,[],[i_0_436]) ).
cnf(i_0_634,plain,
( ~ in(X1,X2)
| in(X1,X3)
| in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_505]) ).
cnf(i_0_635,plain,
in(X1,union(esk29_1(esk22_1(X1)))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507]) ).
cnf(i_0_636,plain,
in(X1,esk29_1(X1)),
inference(rename_variables,[],[i_0_436]) ).
cnf(i_0_637,plain,
( ~ in(X1,X2)
| in(X3,union(X2))
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_507]) ).
cnf(i_0_638,plain,
~ in(set_union2(esk28_0,esk28_0),subset_complement(esk26_0,esk27_0)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482]) ).
cnf(i_0_639,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_640,plain,
~ element(set_union2(esk21_0,esk21_0),esk19_0),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489]) ).
cnf(i_0_641,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_642,plain,
~ element(esk21_0,set_union2(esk19_0,esk19_0)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490]) ).
cnf(i_0_643,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_644,plain,
~ in(X1,set_union2(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280]) ).
cnf(i_0_645,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_646,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_520]) ).
cnf(i_0_647,plain,
( X1 != cartesian_product2(X2,X3)
| in(esk7_4(X2,X3,X1,X4),X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_280]) ).
cnf(i_0_648,plain,
~ in(X1,set_union2(cartesian_product2(empty_set,X2),cartesian_product2(empty_set,X2))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281]) ).
cnf(i_0_649,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_650,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_520]) ).
cnf(i_0_651,plain,
( X1 != cartesian_product2(X2,X3)
| in(esk6_4(X2,X3,X1,X4),X2)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_281]) ).
cnf(i_0_652,plain,
empty_set = cartesian_product2(X1,set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297]) ).
cnf(i_0_653,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_520]) ).
cnf(i_0_654,plain,
( in(esk8_3(X1,X2,X3),X3)
| X3 = cartesian_product2(X1,X2)
| in(esk10_3(X1,X2,X3),X2) ),
inference(rename_variables,[],[i_0_297]) ).
cnf(i_0_655,plain,
empty_set = cartesian_product2(cartesian_product2(X1,empty_set),X2),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298]) ).
cnf(i_0_656,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_520]) ).
cnf(i_0_657,plain,
( in(esk8_3(X1,X2,X3),X3)
| X3 = cartesian_product2(X1,X2)
| in(esk9_3(X1,X2,X3),X1) ),
inference(rename_variables,[],[i_0_298]) ).
cnf(i_0_658,plain,
~ in(X1,set_union2(union(empty_set),union(empty_set))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309]) ).
cnf(i_0_659,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_660,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_520]) ).
cnf(i_0_661,plain,
( X1 != union(X2)
| in(esk13_3(X2,X1,X3),X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_309]) ).
cnf(i_0_662,plain,
in(X1,esk30_2(X1,X1)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325]) ).
cnf(i_0_663,plain,
in(X1,esk29_1(X1)),
inference(rename_variables,[],[i_0_436]) ).
cnf(i_0_664,plain,
( ~ in(X1,esk29_1(X2))
| in(X3,esk30_2(X2,X1))
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_325]) ).
cnf(i_0_665,plain,
empty_set = union(cartesian_product2(empty_set,X1)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332]) ).
cnf(i_0_666,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_520]) ).
cnf(i_0_667,plain,
( in(esk14_2(X1,X2),X2)
| X2 = union(X1)
| in(esk15_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_332]) ).
cnf(i_0_668,plain,
~ in(X1,set_union2(set_difference(X2,esk29_1(X1)),set_difference(X2,esk29_1(X1)))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357]) ).
cnf(i_0_669,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_670,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_357]) ).
cnf(i_0_671,plain,
~ subset(esk29_1(esk28_0),empty_set),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374]) ).
cnf(i_0_672,plain,
subset(empty_set,X1),
inference(rename_variables,[],[i_0_449]) ).
cnf(i_0_673,plain,
( ~ subset(X1,X2)
| subset(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_374]) ).
cnf(i_0_674,plain,
~ in(esk29_1(esk28_0),set_union2(powerset(subset_complement(esk26_0,esk27_0)),powerset(subset_complement(esk26_0,esk27_0)))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393]) ).
cnf(i_0_675,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_676,plain,
( X1 != powerset(X2)
| subset(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_393]) ).
cnf(i_0_677,plain,
element(X1,powerset(X1)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405]) ).
cnf(i_0_678,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_441]) ).
cnf(i_0_679,plain,
( empty(X1)
| ~ in(X2,X1)
| element(X2,X1) ),
inference(rename_variables,[],[i_0_405]) ).
cnf(i_0_680,plain,
element(esk19_0,esk19_0),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424]) ).
cnf(i_0_681,plain,
( ~ empty(X1)
| ~ empty(X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_682,plain,
esk26_0 != set_union2(empty_set,empty_set),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461]) ).
cnf(i_0_683,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_684,plain,
esk19_0 != esk21_0,
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484]) ).
cnf(i_0_685,plain,
~ subset(set_union2(esk29_1(esk28_0),esk29_1(esk28_0)),subset_complement(esk26_0,esk27_0)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485]) ).
cnf(i_0_686,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_687,plain,
~ subset(esk29_1(esk28_0),set_union2(subset_complement(esk26_0,esk27_0),subset_complement(esk26_0,esk27_0))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486]) ).
cnf(i_0_688,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_689,plain,
~ proper_subset(set_union2(X1,X1),X1),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493]) ).
cnf(i_0_690,plain,
~ proper_subset(X1,X1),
inference(rename_variables,[],[i_0_430]) ).
cnf(i_0_691,plain,
~ proper_subset(X1,set_union2(X1,X1)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494]) ).
cnf(i_0_692,plain,
~ proper_subset(X1,X1),
inference(rename_variables,[],[i_0_430]) ).
cnf(i_0_693,plain,
in(X1,set_difference(esk29_1(X1),set_difference(esk29_1(X1),esk29_1(X1)))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_339,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494,i_0_318]) ).
cnf(i_0_694,plain,
set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
inference(rename_variables,[],[i_0_339]) ).
cnf(i_0_695,plain,
( X1 != set_difference(X2,set_difference(X2,X3))
| ~ in(X4,X3)
| ~ in(X4,X2)
| in(X4,X1) ),
inference(rename_variables,[],[i_0_318]) ).
cnf(i_0_696,plain,
~ in(esk28_0,set_union2(set_union2(subset_complement(esk26_0,esk27_0),subset_complement(esk26_0,esk27_0)),set_union2(subset_complement(esk26_0,esk27_0),subset_complement(esk26_0,esk27_0)))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_437,i_0_408,i_0_447,i_0_622,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_339,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494,i_0_318,i_0_348]) ).
cnf(i_0_697,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_698,plain,
( X1 != set_union2(X2,X3)
| in(X4,X2)
| in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_699,plain,
in(esk28_0,set_difference(set_difference(esk29_1(esk28_0),subset_complement(esk26_0,esk27_0)),empty_set)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_437,i_0_408,i_0_447,i_0_622,i_0_625,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_339,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494,i_0_318,i_0_348,i_0_349]) ).
cnf(i_0_700,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_447]) ).
cnf(i_0_701,plain,
in(X1,esk29_1(X1)),
inference(rename_variables,[],[i_0_436]) ).
cnf(i_0_702,plain,
( X1 != set_difference(X2,X3)
| in(X4,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_349]) ).
cnf(i_0_703,plain,
~ in(esk26_0,set_difference(unordered_pair(empty_set,empty_set),empty_set)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_437,i_0_408,i_0_447,i_0_622,i_0_625,i_0_700,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_339,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494,i_0_318,i_0_348,i_0_349,i_0_387]) ).
cnf(i_0_704,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_447]) ).
cnf(i_0_705,plain,
( X1 != unordered_pair(X2,X3)
| X4 = X2
| X4 = X3
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_387]) ).
cnf(i_0_706,plain,
in(esk5_3(empty_set,empty_set,esk26_0),esk26_0),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_666,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_425,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_437,i_0_408,i_0_447,i_0_622,i_0_625,i_0_700,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_339,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494,i_0_318,i_0_348,i_0_349,i_0_387,i_0_286]) ).
cnf(i_0_707,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_520]) ).
cnf(i_0_708,plain,
( X1 = set_union2(X2,X3)
| in(esk5_3(X2,X3,X1),X1)
| in(esk5_3(X2,X3,X1),X2)
| in(esk5_3(X2,X3,X1),X3) ),
inference(rename_variables,[],[i_0_286]) ).
cnf(i_0_709,plain,
in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),set_union2(cartesian_product2(esk29_1(X1),esk29_1(X1)),cartesian_product2(esk29_1(X1),esk29_1(X1)))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_666,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_697,i_0_425,i_0_426,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_701,i_0_437,i_0_408,i_0_447,i_0_622,i_0_625,i_0_700,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_339,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494,i_0_318,i_0_348,i_0_349,i_0_387,i_0_286,i_0_306]) ).
cnf(i_0_710,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_426]) ).
cnf(i_0_711,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_712,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_306]) ).
cnf(i_0_713,plain,
~ disjoint(esk29_1(esk28_0),esk29_1(esk28_0)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_666,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_697,i_0_425,i_0_426,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_701,i_0_437,i_0_408,i_0_447,i_0_622,i_0_625,i_0_700,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_339,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494,i_0_318,i_0_348,i_0_349,i_0_387,i_0_286,i_0_306,i_0_307]) ).
cnf(i_0_714,plain,
( ~ in(X1,set_difference(X2,set_difference(X2,X3)))
| ~ disjoint(X2,X3) ),
inference(rename_variables,[],[i_0_307]) ).
cnf(i_0_715,plain,
~ in(X1,set_difference(unordered_pair(X1,X1),unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_666,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_697,i_0_425,i_0_426,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_701,i_0_437,i_0_408,i_0_447,i_0_622,i_0_625,i_0_700,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_339,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494,i_0_318,i_0_348,i_0_349,i_0_387,i_0_286,i_0_306,i_0_307,i_0_331]) ).
cnf(i_0_716,plain,
( ~ disjoint(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_331]) ).
cnf(i_0_717,plain,
subset(union(empty_set),X1),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_666,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_697,i_0_425,i_0_426,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_701,i_0_437,i_0_408,i_0_447,i_0_622,i_0_625,i_0_700,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_339,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494,i_0_318,i_0_348,i_0_349,i_0_387,i_0_286,i_0_306,i_0_307,i_0_331,i_0_380]) ).
cnf(i_0_718,plain,
( in(esk11_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_380]) ).
cnf(i_0_719,plain,
union(empty_set) = empty_set,
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_666,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_697,i_0_425,i_0_426,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_701,i_0_437,i_0_408,i_0_447,i_0_622,i_0_625,i_0_700,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_339,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494,i_0_318,i_0_348,i_0_349,i_0_387,i_0_286,i_0_306,i_0_307,i_0_331,i_0_380,i_0_433]) ).
cnf(i_0_720,plain,
( ~ subset(X1,empty_set)
| X1 = empty_set ),
inference(rename_variables,[],[i_0_433]) ).
cnf(i_0_721,plain,
in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),cartesian_product2(esk29_1(X1),esk29_1(X1))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_666,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_697,i_0_425,i_0_426,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_701,i_0_437,i_0_408,i_0_447,i_0_622,i_0_625,i_0_700,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_339,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494,i_0_318,i_0_348,i_0_349,i_0_387,i_0_286,i_0_306,i_0_307,i_0_331,i_0_380,i_0_433,i_0_504]) ).
cnf(i_0_722,plain,
( ~ in(X1,set_union2(X2,X3))
| in(X1,X2)
| in(X1,X3) ),
inference(rename_variables,[],[i_0_504]) ).
cnf(i_0_723,plain,
( ~ in(X1,set_union2(union(X2),union(X2)))
| in(X1,esk13_3(X2,set_union2(union(X2),union(X2)),X1)) ),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_666,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_697,i_0_711,i_0_425,i_0_426,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_701,i_0_437,i_0_408,i_0_447,i_0_622,i_0_625,i_0_700,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_339,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494,i_0_318,i_0_348,i_0_349,i_0_387,i_0_286,i_0_306,i_0_307,i_0_331,i_0_380,i_0_433,i_0_504,i_0_310]) ).
cnf(i_0_724,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_725,plain,
( X1 != union(X2)
| in(X3,esk13_3(X2,X1,X3))
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_310]) ).
cnf(i_0_726,plain,
~ disjoint(set_union2(esk29_1(esk28_0),esk29_1(esk28_0)),esk29_1(esk28_0)),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_666,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_697,i_0_711,i_0_724,i_0_425,i_0_426,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_701,i_0_437,i_0_408,i_0_447,i_0_622,i_0_625,i_0_700,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_339,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494,i_0_318,i_0_348,i_0_349,i_0_387,i_0_286,i_0_306,i_0_307,i_0_331,i_0_380,i_0_433,i_0_504,i_0_310,i_0_487]) ).
cnf(i_0_727,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_728,plain,
~ disjoint(esk29_1(esk28_0),set_union2(esk29_1(esk28_0),esk29_1(esk28_0))),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_666,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_697,i_0_711,i_0_724,i_0_727,i_0_425,i_0_426,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_701,i_0_437,i_0_408,i_0_447,i_0_622,i_0_625,i_0_700,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_339,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494,i_0_318,i_0_348,i_0_349,i_0_387,i_0_286,i_0_306,i_0_307,i_0_331,i_0_380,i_0_433,i_0_504,i_0_310,i_0_487,i_0_488]) ).
cnf(i_0_729,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_444]) ).
cnf(i_0_730,plain,
( disjoint(esk27_0,esk27_0)
| ~ subset(esk27_0,subset_complement(esk26_0,esk27_0)) ),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_666,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_697,i_0_711,i_0_724,i_0_727,i_0_425,i_0_426,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_701,i_0_437,i_0_408,i_0_447,i_0_622,i_0_625,i_0_700,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_339,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494,i_0_318,i_0_348,i_0_349,i_0_387,i_0_286,i_0_306,i_0_307,i_0_331,i_0_380,i_0_433,i_0_504,i_0_310,i_0_487,i_0_488,i_0_311]) ).
cnf(i_0_731,plain,
( ~ element(X1,powerset(X2))
| ~ element(X3,powerset(X2))
| ~ subset(X3,subset_complement(X2,X1))
| disjoint(X3,X1) ),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_732,plain,
( ~ disjoint(esk27_0,esk20_1(esk26_0))
| subset(esk27_0,subset_complement(esk26_0,esk20_1(esk26_0))) ),
inference(scs_inference,[],[i_0_386,i_0_458,i_0_443,i_0_430,i_0_690,i_0_445,i_0_526,i_0_529,i_0_449,i_0_520,i_0_551,i_0_554,i_0_581,i_0_584,i_0_587,i_0_595,i_0_646,i_0_650,i_0_653,i_0_656,i_0_660,i_0_666,i_0_444,i_0_559,i_0_570,i_0_593,i_0_600,i_0_603,i_0_607,i_0_613,i_0_619,i_0_639,i_0_641,i_0_643,i_0_645,i_0_649,i_0_659,i_0_669,i_0_675,i_0_683,i_0_686,i_0_688,i_0_697,i_0_711,i_0_724,i_0_727,i_0_425,i_0_426,i_0_427,i_0_435,i_0_436,i_0_604,i_0_610,i_0_633,i_0_636,i_0_663,i_0_701,i_0_437,i_0_408,i_0_447,i_0_622,i_0_625,i_0_700,i_0_455,i_0_456,i_0_441,i_0_407,i_0_548,i_0_339,i_0_414,i_0_340,i_0_345,i_0_346,i_0_372,i_0_503,i_0_508,i_0_509,i_0_510,i_0_512,i_0_517,i_0_341,i_0_347,i_0_378,i_0_379,i_0_397,i_0_401,i_0_411,i_0_415,i_0_418,i_0_423,i_0_429,i_0_432,i_0_438,i_0_439,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_460,i_0_483,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_390,i_0_394,i_0_403,i_0_404,i_0_406,i_0_421,i_0_505,i_0_507,i_0_482,i_0_489,i_0_490,i_0_280,i_0_281,i_0_297,i_0_298,i_0_309,i_0_325,i_0_332,i_0_357,i_0_374,i_0_393,i_0_405,i_0_424,i_0_461,i_0_484,i_0_485,i_0_486,i_0_493,i_0_494,i_0_318,i_0_348,i_0_349,i_0_387,i_0_286,i_0_306,i_0_307,i_0_331,i_0_380,i_0_433,i_0_504,i_0_310,i_0_487,i_0_488,i_0_311,i_0_317]) ).
cnf(i_0_733,plain,
element(esk20_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_427]) ).
cnf(i_0_734,plain,
( ~ element(X1,powerset(X2))
| ~ element(X3,powerset(X2))
| subset(X3,subset_complement(X2,X1))
| ~ disjoint(X3,X1) ),
inference(rename_variables,[],[i_0_317]) ).
cnf(i_0_735,plain,
element(subset_complement(esk26_0,subset_complement(esk26_0,esk27_0)),powerset(esk26_0)),
inference(scs_inference,[],[i_0_523,i_0_340]) ).
cnf(i_0_736,plain,
( ~ element(X1,powerset(X2))
| element(subset_complement(X2,X1),powerset(X2)) ),
inference(rename_variables,[],[i_0_340]) ).
cnf(i_0_737,plain,
in(X1,set_difference(unordered_pair(X1,X2),empty_set)),
inference(scs_inference,[],[i_0_523,i_0_565,i_0_340,i_0_345]) ).
cnf(i_0_738,plain,
subset(X1,set_difference(X1,empty_set)),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_739,plain,
( ~ subset(unordered_pair(X1,X2),X3)
| in(X1,X3) ),
inference(rename_variables,[],[i_0_345]) ).
cnf(i_0_740,plain,
in(X1,set_difference(unordered_pair(X2,X1),empty_set)),
inference(scs_inference,[],[i_0_523,i_0_565,i_0_738,i_0_340,i_0_345,i_0_346]) ).
cnf(i_0_741,plain,
subset(X1,set_difference(X1,empty_set)),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_742,plain,
( ~ subset(unordered_pair(X1,X2),X3)
| in(X2,X3) ),
inference(rename_variables,[],[i_0_346]) ).
cnf(i_0_743,plain,
subset_complement(esk26_0,subset_complement(esk26_0,esk27_0)) = set_difference(esk26_0,subset_complement(esk26_0,esk27_0)),
inference(scs_inference,[],[i_0_523,i_0_565,i_0_738,i_0_340,i_0_345,i_0_346,i_0_372]) ).
cnf(i_0_744,plain,
( ~ element(X1,powerset(X2))
| subset_complement(X2,X1) = set_difference(X2,X1) ),
inference(rename_variables,[],[i_0_372]) ).
cnf(i_0_745,plain,
in(X1,set_union2(powerset(X1),X2)),
inference(scs_inference,[],[i_0_543,i_0_523,i_0_565,i_0_738,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509]) ).
cnf(i_0_746,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_509]) ).
cnf(i_0_747,plain,
in(X1,set_union2(X2,powerset(X1))),
inference(scs_inference,[],[i_0_543,i_0_523,i_0_565,i_0_738,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510]) ).
cnf(i_0_748,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_510]) ).
cnf(i_0_749,plain,
~ in(esk26_0,unordered_pair(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_543,i_0_523,i_0_565,i_0_738,i_0_682,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512]) ).
cnf(i_0_750,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_512]) ).
cnf(i_0_751,plain,
~ disjoint(esk29_1(X1),esk29_1(X1)),
inference(scs_inference,[],[i_0_543,i_0_693,i_0_523,i_0_565,i_0_738,i_0_682,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307]) ).
cnf(i_0_752,plain,
( ~ in(X1,set_difference(X2,set_difference(X2,X3)))
| ~ disjoint(X2,X3) ),
inference(rename_variables,[],[i_0_307]) ).
cnf(i_0_753,plain,
in(esk30_2(X1,esk30_2(X1,X1)),esk29_1(X1)),
inference(scs_inference,[],[i_0_543,i_0_693,i_0_523,i_0_545,i_0_565,i_0_738,i_0_682,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341]) ).
cnf(i_0_754,plain,
( ~ in(X1,esk29_1(X2))
| in(esk30_2(X2,X1),esk29_1(X2)) ),
inference(rename_variables,[],[i_0_341]) ).
cnf(i_0_755,plain,
~ in(powerset(X1),X1),
inference(scs_inference,[],[i_0_543,i_0_693,i_0_523,i_0_545,i_0_565,i_0_738,i_0_682,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397]) ).
cnf(i_0_756,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_397]) ).
cnf(i_0_757,plain,
subset(esk19_0,unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_543,i_0_693,i_0_523,i_0_594,i_0_545,i_0_565,i_0_738,i_0_682,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401]) ).
cnf(i_0_758,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_401]) ).
cnf(i_0_759,plain,
~ in(X1,esk20_1(X2)),
inference(scs_inference,[],[i_0_543,i_0_693,i_0_523,i_0_594,i_0_545,i_0_565,i_0_738,i_0_682,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423]) ).
cnf(i_0_760,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_423]) ).
cnf(i_0_761,plain,
~ in(X1,set_difference(empty_set,X2)),
inference(scs_inference,[],[i_0_543,i_0_693,i_0_523,i_0_594,i_0_450,i_0_545,i_0_565,i_0_738,i_0_682,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429]) ).
cnf(i_0_762,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_429]) ).
cnf(i_0_763,plain,
in(esk2_1(unordered_pair(X1,X1)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_543,i_0_693,i_0_523,i_0_594,i_0_450,i_0_545,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432]) ).
cnf(i_0_764,plain,
( X1 = empty_set
| in(esk2_1(X1),X1) ),
inference(rename_variables,[],[i_0_432]) ).
cnf(i_0_765,plain,
subset(subset_complement(esk26_0,esk27_0),set_difference(esk26_0,esk27_0)),
inference(scs_inference,[],[i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438]) ).
cnf(i_0_766,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_438]) ).
cnf(i_0_767,plain,
~ empty(unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454]) ).
cnf(i_0_768,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_454]) ).
cnf(i_0_769,plain,
~ in(X1,cartesian_product2(X2,set_union2(cartesian_product2(X3,empty_set),cartesian_product2(X3,empty_set)))),
inference(scs_inference,[],[i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_644,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496]) ).
cnf(i_0_770,plain,
~ in(X1,set_union2(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set))),
inference(rename_variables,[],[i_0_644]) ).
cnf(i_0_771,plain,
( in(esk7_4(X1,X2,cartesian_product2(X1,X2),X3),X2)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_772,plain,
~ in(X1,cartesian_product2(set_union2(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set)),X3)),
inference(scs_inference,[],[i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_644,i_0_770,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497]) ).
cnf(i_0_773,plain,
~ in(X1,set_union2(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set))),
inference(rename_variables,[],[i_0_644]) ).
cnf(i_0_774,plain,
( in(esk6_4(X1,X2,cartesian_product2(X1,X2),X3),X1)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(rename_variables,[],[i_0_497]) ).
cnf(i_0_775,plain,
~ in(X1,union(set_union2(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set)))),
inference(scs_inference,[],[i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_644,i_0_770,i_0_773,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500]) ).
cnf(i_0_776,plain,
~ in(X1,set_union2(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set))),
inference(rename_variables,[],[i_0_644]) ).
cnf(i_0_777,plain,
( in(esk13_3(X1,union(X1),X2),X1)
| ~ in(X2,union(X1)) ),
inference(rename_variables,[],[i_0_500]) ).
cnf(i_0_778,plain,
~ in(X1,set_difference(X2,powerset(X1))),
inference(scs_inference,[],[i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_644,i_0_770,i_0_773,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506]) ).
cnf(i_0_779,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_506]) ).
cnf(i_0_780,plain,
~ in(esk28_0,set_difference(X1,set_difference(X1,esk27_0))),
inference(scs_inference,[],[i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_644,i_0_770,i_0_773,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503]) ).
cnf(i_0_781,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_782,plain,
~ in(esk28_0,set_difference(esk27_0,X1)),
inference(scs_inference,[],[i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_644,i_0_770,i_0_773,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508]) ).
cnf(i_0_783,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_508]) ).
cnf(i_0_784,plain,
in(set_union2(X1,X1),powerset(X1)),
inference(scs_inference,[],[i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_574,i_0_644,i_0_770,i_0_773,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517]) ).
cnf(i_0_785,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_786,plain,
subset(set_difference(esk26_0,esk27_0),subset_complement(esk26_0,esk27_0)),
inference(scs_inference,[],[i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_574,i_0_644,i_0_770,i_0_773,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439]) ).
cnf(i_0_787,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_788,plain,
subset(set_union2(cartesian_product2(X1,empty_set),cartesian_product2(X1,empty_set)),X2),
inference(scs_inference,[],[i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_574,i_0_644,i_0_770,i_0_773,i_0_776,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380]) ).
cnf(i_0_789,plain,
~ in(X1,set_union2(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set))),
inference(rename_variables,[],[i_0_644]) ).
cnf(i_0_790,plain,
( in(esk11_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_380]) ).
cnf(i_0_791,plain,
set_union2(cartesian_product2(X1,empty_set),cartesian_product2(X1,empty_set)) = empty_set,
inference(scs_inference,[],[i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_574,i_0_644,i_0_770,i_0_773,i_0_776,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433]) ).
cnf(i_0_792,plain,
( ~ subset(X1,empty_set)
| X1 = empty_set ),
inference(rename_variables,[],[i_0_433]) ).
cnf(i_0_793,plain,
disjoint(set_union2(cartesian_product2(X1,empty_set),cartesian_product2(X1,empty_set)),X2),
inference(scs_inference,[],[i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_574,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378]) ).
cnf(i_0_794,plain,
~ in(X1,set_union2(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set))),
inference(rename_variables,[],[i_0_644]) ).
cnf(i_0_795,plain,
( in(esk24_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_378]) ).
cnf(i_0_796,plain,
disjoint(X1,set_union2(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set))),
inference(scs_inference,[],[i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_574,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379]) ).
cnf(i_0_797,plain,
~ in(X1,set_union2(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set))),
inference(rename_variables,[],[i_0_644]) ).
cnf(i_0_798,plain,
( in(esk24_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_379]) ).
cnf(i_0_799,plain,
set_difference(esk26_0,esk27_0) = subset_complement(esk26_0,esk27_0),
inference(scs_inference,[],[i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_574,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460]) ).
cnf(i_0_800,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(scs_inference,[],[i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_574,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511]) ).
cnf(i_0_801,plain,
( ~ in(X1,unordered_pair(X2,X3))
| X1 = X2
| X1 = X3 ),
inference(rename_variables,[],[i_0_511]) ).
cnf(i_0_802,plain,
~ subset(esk29_1(esk29_1(X1)),esk30_2(X1,X1)),
inference(scs_inference,[],[i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_574,i_0_556,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350]) ).
cnf(i_0_803,plain,
~ in(esk29_1(X1),X1),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_804,plain,
( in(X1,esk29_1(X2))
| ~ in(X3,esk29_1(X2))
| ~ subset(X1,X3) ),
inference(rename_variables,[],[i_0_350]) ).
cnf(i_0_805,plain,
~ subset(esk29_1(esk22_1(X1)),X1),
inference(scs_inference,[],[i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_574,i_0_556,i_0_803,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351]) ).
cnf(i_0_806,plain,
~ in(esk29_1(X1),X1),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_807,plain,
( in(X1,esk22_1(X2))
| ~ in(X3,esk22_1(X2))
| ~ subset(X1,X3) ),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_808,plain,
disjoint(set_union2(X1,X1),set_difference(X1,X1)),
inference(scs_inference,[],[i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373]) ).
cnf(i_0_809,plain,
disjoint(X1,set_difference(X1,X1)),
inference(rename_variables,[],[i_0_561]) ).
cnf(i_0_810,plain,
( ~ disjoint(X1,X2)
| disjoint(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_373]) ).
cnf(i_0_811,plain,
set_union2(cartesian_product2(empty_set,X1),cartesian_product2(empty_set,X1)) = set_union2(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set)),
inference(scs_inference,[],[i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_648,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336]) ).
cnf(i_0_812,plain,
~ in(X1,set_union2(cartesian_product2(empty_set,X2),cartesian_product2(empty_set,X2))),
inference(rename_variables,[],[i_0_648]) ).
cnf(i_0_813,plain,
~ in(X1,set_union2(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set))),
inference(rename_variables,[],[i_0_644]) ).
cnf(i_0_814,plain,
( in(esk23_2(X1,X2),X1)
| in(esk23_2(X1,X2),X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_336]) ).
cnf(i_0_815,plain,
~ in(esk29_1(esk26_0),subset_complement(esk26_0,esk27_0)),
inference(scs_inference,[],[i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_648,i_0_565,i_0_738,i_0_682,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356]) ).
cnf(i_0_816,plain,
~ in(esk29_1(X1),X1),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_817,plain,
( ~ element(X1,powerset(X2))
| ~ in(X3,X1)
| in(X3,X2) ),
inference(rename_variables,[],[i_0_356]) ).
cnf(i_0_818,plain,
~ in(esk28_0,set_union2(set_difference(subset_complement(esk26_0,esk27_0),X1),empty_set)),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_648,i_0_565,i_0_738,i_0_682,i_0_448,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369]) ).
cnf(i_0_819,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_820,plain,
( X1 != set_difference(X2,X3)
| in(X4,X2)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_369]) ).
cnf(i_0_821,plain,
~ in(esk29_1(set_union2(set_union2(X1,X2),empty_set)),X1),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_648,i_0_565,i_0_738,i_0_682,i_0_448,i_0_819,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370]) ).
cnf(i_0_822,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_823,plain,
~ in(esk29_1(X1),X1),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_824,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_370]) ).
cnf(i_0_825,plain,
~ in(esk29_1(set_union2(set_union2(X1,X2),empty_set)),X2),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_648,i_0_565,i_0_738,i_0_682,i_0_448,i_0_819,i_0_822,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371]) ).
cnf(i_0_826,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_827,plain,
~ in(esk29_1(X1),X1),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_828,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X3) ),
inference(rename_variables,[],[i_0_371]) ).
cnf(i_0_829,plain,
~ subset(powerset(esk28_0),subset_complement(esk26_0,esk27_0)),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_648,i_0_565,i_0_738,i_0_682,i_0_448,i_0_819,i_0_822,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375]) ).
cnf(i_0_830,plain,
in(X1,powerset(X1)),
inference(rename_variables,[],[i_0_543]) ).
cnf(i_0_831,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_375]) ).
cnf(i_0_832,plain,
~ in(esk26_0,set_union2(unordered_pair(empty_set,empty_set),empty_set)),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_458,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_648,i_0_565,i_0_738,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388]) ).
cnf(i_0_833,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_834,plain,
( X1 != unordered_pair(X2,X2)
| ~ in(X3,X1)
| X3 = X2 ),
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_835,plain,
~ subset(esk29_1(set_union2(powerset(X1),empty_set)),X1),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_458,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_648,i_0_565,i_0_738,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394]) ).
cnf(i_0_836,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_837,plain,
~ in(esk29_1(X1),X1),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_838,plain,
( X1 != powerset(X2)
| in(X3,X1)
| ~ subset(X3,X2) ),
inference(rename_variables,[],[i_0_394]) ).
cnf(i_0_839,plain,
in(esk28_0,esk26_0),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_648,i_0_565,i_0_738,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406]) ).
cnf(i_0_840,plain,
( empty(X1)
| ~ element(X2,X1)
| in(X2,X1) ),
inference(rename_variables,[],[i_0_406]) ).
cnf(i_0_841,plain,
~ element(esk26_0,empty_set),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_648,i_0_565,i_0_738,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421]) ).
cnf(i_0_842,plain,
( ~ empty(X1)
| empty(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_421]) ).
cnf(i_0_843,plain,
in(esk28_0,set_difference(powerset(esk28_0),subset_complement(esk26_0,esk27_0))),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_648,i_0_565,i_0_738,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505]) ).
cnf(i_0_844,plain,
in(X1,powerset(X1)),
inference(rename_variables,[],[i_0_543]) ).
cnf(i_0_845,plain,
( ~ in(X1,X2)
| in(X1,X3)
| in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_505]) ).
cnf(i_0_846,plain,
~ in(esk29_1(union(powerset(X1))),X1),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_648,i_0_565,i_0_738,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507]) ).
cnf(i_0_847,plain,
~ in(esk29_1(X1),X1),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_848,plain,
( ~ in(X1,X2)
| in(X3,union(X2))
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_507]) ).
cnf(i_0_849,plain,
set_union2(cartesian_product2(X1,empty_set),cartesian_product2(X1,empty_set)) = cartesian_product2(X2,set_union2(cartesian_product2(empty_set,X3),cartesian_product2(empty_set,X3))),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_648,i_0_812,i_0_565,i_0_738,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297]) ).
cnf(i_0_850,plain,
~ in(X1,set_union2(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set))),
inference(rename_variables,[],[i_0_644]) ).
cnf(i_0_851,plain,
~ in(X1,set_union2(cartesian_product2(empty_set,X2),cartesian_product2(empty_set,X2))),
inference(rename_variables,[],[i_0_648]) ).
cnf(i_0_852,plain,
( in(esk8_3(X1,X2,X3),X3)
| X3 = cartesian_product2(X1,X2)
| in(esk10_3(X1,X2,X3),X2) ),
inference(rename_variables,[],[i_0_297]) ).
cnf(i_0_853,plain,
set_union2(cartesian_product2(X1,empty_set),cartesian_product2(X1,empty_set)) = cartesian_product2(set_union2(cartesian_product2(empty_set,X2),cartesian_product2(empty_set,X2)),X3),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_648,i_0_812,i_0_851,i_0_565,i_0_738,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298]) ).
cnf(i_0_854,plain,
~ in(X1,set_union2(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set))),
inference(rename_variables,[],[i_0_644]) ).
cnf(i_0_855,plain,
~ in(X1,set_union2(cartesian_product2(empty_set,X2),cartesian_product2(empty_set,X2))),
inference(rename_variables,[],[i_0_648]) ).
cnf(i_0_856,plain,
( in(esk8_3(X1,X2,X3),X3)
| X3 = cartesian_product2(X1,X2)
| in(esk9_3(X1,X2,X3),X1) ),
inference(rename_variables,[],[i_0_298]) ).
cnf(i_0_857,plain,
~ subset(esk29_1(esk30_2(X1,esk30_2(X1,X1))),esk30_2(X1,X1)),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_648,i_0_812,i_0_851,i_0_565,i_0_738,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325]) ).
cnf(i_0_858,plain,
~ in(esk29_1(X1),X1),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_859,plain,
( ~ in(X1,esk29_1(X2))
| in(X3,esk30_2(X2,X1))
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_325]) ).
cnf(i_0_860,plain,
~ in(X1,set_union2(set_difference(X2,powerset(X1)),empty_set)),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_648,i_0_812,i_0_851,i_0_565,i_0_738,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357]) ).
cnf(i_0_861,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_862,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_357]) ).
cnf(i_0_863,plain,
~ in(esk29_1(esk28_0),set_union2(powerset(subset_complement(esk26_0,esk27_0)),empty_set)),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_648,i_0_812,i_0_851,i_0_565,i_0_738,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393]) ).
cnf(i_0_864,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_865,plain,
( X1 != powerset(X2)
| subset(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_393]) ).
cnf(i_0_866,plain,
element(esk2_1(esk26_0),esk26_0),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_648,i_0_812,i_0_851,i_0_565,i_0_738,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405]) ).
cnf(i_0_867,plain,
( empty(X1)
| ~ in(X2,X1)
| element(X2,X1) ),
inference(rename_variables,[],[i_0_405]) ).
cnf(i_0_868,plain,
element(empty_set,empty_set),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_648,i_0_812,i_0_851,i_0_565,i_0_738,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424]) ).
cnf(i_0_869,plain,
( ~ empty(X1)
| ~ empty(X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_870,plain,
~ subset(esk29_1(esk22_1(set_difference(X1,empty_set))),X1),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_648,i_0_812,i_0_851,i_0_565,i_0_738,i_0_741,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374]) ).
cnf(i_0_871,plain,
( ~ subset(X1,X2)
| subset(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_374]) ).
cnf(i_0_872,plain,
esk29_1(set_union2(unordered_pair(X1,X2),empty_set)) != X1,
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_648,i_0_812,i_0_851,i_0_565,i_0_738,i_0_741,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403]) ).
cnf(i_0_873,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_874,plain,
~ in(esk29_1(X1),X1),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_875,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X2 ),
inference(rename_variables,[],[i_0_403]) ).
cnf(i_0_876,plain,
esk29_1(set_union2(unordered_pair(X1,X2),empty_set)) != X2,
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_648,i_0_812,i_0_851,i_0_565,i_0_738,i_0_741,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404]) ).
cnf(i_0_877,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_878,plain,
~ in(esk29_1(X1),X1),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_879,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X3 ),
inference(rename_variables,[],[i_0_404]) ).
cnf(i_0_880,plain,
set_union2(cartesian_product2(X1,empty_set),cartesian_product2(X1,empty_set)) = union(set_union2(cartesian_product2(empty_set,X2),cartesian_product2(empty_set,X2))),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_854,i_0_648,i_0_812,i_0_851,i_0_855,i_0_565,i_0_738,i_0_741,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404,i_0_332]) ).
cnf(i_0_881,plain,
~ in(X1,set_union2(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set))),
inference(rename_variables,[],[i_0_644]) ).
cnf(i_0_882,plain,
~ in(X1,set_union2(cartesian_product2(empty_set,X2),cartesian_product2(empty_set,X2))),
inference(rename_variables,[],[i_0_648]) ).
cnf(i_0_883,plain,
( in(esk14_2(X1,X2),X2)
| X2 = union(X1)
| in(esk15_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_332]) ).
cnf(i_0_884,plain,
~ in(esk28_0,set_union2(subset_complement(esk26_0,esk27_0),empty_set)),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_854,i_0_648,i_0_812,i_0_851,i_0_855,i_0_565,i_0_738,i_0_741,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_877,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404,i_0_332,i_0_483]) ).
cnf(i_0_885,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_886,plain,
~ in(set_union2(esk28_0,empty_set),subset_complement(esk26_0,esk27_0)),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_531,i_0_523,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_854,i_0_648,i_0_812,i_0_851,i_0_855,i_0_565,i_0_738,i_0_741,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_877,i_0_885,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404,i_0_332,i_0_483,i_0_482]) ).
cnf(i_0_887,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_888,plain,
~ element(set_union2(esk21_0,empty_set),set_union2(esk19_0,esk19_0)),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_531,i_0_523,i_0_642,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_854,i_0_648,i_0_812,i_0_851,i_0_855,i_0_565,i_0_738,i_0_741,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_877,i_0_885,i_0_887,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404,i_0_332,i_0_483,i_0_482,i_0_489]) ).
cnf(i_0_889,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_890,plain,
~ element(set_union2(esk21_0,esk21_0),set_union2(esk19_0,empty_set)),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_531,i_0_523,i_0_640,i_0_642,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_854,i_0_648,i_0_812,i_0_851,i_0_855,i_0_565,i_0_738,i_0_741,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_877,i_0_885,i_0_887,i_0_889,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404,i_0_332,i_0_483,i_0_482,i_0_489,i_0_490]) ).
cnf(i_0_891,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_892,plain,
esk26_0 != esk19_0,
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_531,i_0_523,i_0_640,i_0_642,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_854,i_0_648,i_0_812,i_0_851,i_0_855,i_0_565,i_0_738,i_0_741,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_877,i_0_885,i_0_887,i_0_889,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404,i_0_332,i_0_483,i_0_482,i_0_489,i_0_490,i_0_461]) ).
cnf(i_0_893,plain,
empty_set != esk26_0,
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_531,i_0_523,i_0_640,i_0_642,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_854,i_0_648,i_0_812,i_0_851,i_0_855,i_0_565,i_0_738,i_0_741,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_877,i_0_885,i_0_887,i_0_889,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404,i_0_332,i_0_483,i_0_482,i_0_489,i_0_490,i_0_461,i_0_484]) ).
cnf(i_0_894,plain,
~ subset(esk29_1(esk28_0),set_union2(subset_complement(esk26_0,esk27_0),empty_set)),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_531,i_0_523,i_0_640,i_0_642,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_854,i_0_648,i_0_812,i_0_851,i_0_855,i_0_565,i_0_738,i_0_741,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_877,i_0_885,i_0_887,i_0_889,i_0_891,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404,i_0_332,i_0_483,i_0_482,i_0_489,i_0_490,i_0_461,i_0_484,i_0_486]) ).
cnf(i_0_895,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_896,plain,
~ disjoint(set_union2(esk29_1(esk28_0),empty_set),set_union2(esk29_1(esk28_0),esk29_1(esk28_0))),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_531,i_0_523,i_0_640,i_0_642,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_854,i_0_648,i_0_812,i_0_851,i_0_855,i_0_565,i_0_738,i_0_741,i_0_728,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_877,i_0_885,i_0_887,i_0_889,i_0_891,i_0_895,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404,i_0_332,i_0_483,i_0_482,i_0_489,i_0_490,i_0_461,i_0_484,i_0_486,i_0_487]) ).
cnf(i_0_897,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_898,plain,
~ disjoint(set_union2(esk29_1(esk28_0),esk29_1(esk28_0)),set_union2(esk29_1(esk28_0),empty_set)),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_531,i_0_523,i_0_640,i_0_642,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_854,i_0_648,i_0_812,i_0_851,i_0_855,i_0_565,i_0_738,i_0_741,i_0_728,i_0_726,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_877,i_0_885,i_0_887,i_0_889,i_0_891,i_0_895,i_0_897,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404,i_0_332,i_0_483,i_0_482,i_0_489,i_0_490,i_0_461,i_0_484,i_0_486,i_0_487,i_0_488]) ).
cnf(i_0_899,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_900,plain,
~ proper_subset(set_union2(set_difference(X1,empty_set),set_difference(X1,empty_set)),X1),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_615,i_0_531,i_0_523,i_0_640,i_0_642,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_689,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_854,i_0_648,i_0_812,i_0_851,i_0_855,i_0_565,i_0_738,i_0_741,i_0_728,i_0_726,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_877,i_0_885,i_0_887,i_0_889,i_0_891,i_0_895,i_0_897,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404,i_0_332,i_0_483,i_0_482,i_0_489,i_0_490,i_0_461,i_0_484,i_0_486,i_0_487,i_0_488,i_0_494]) ).
cnf(i_0_901,plain,
~ proper_subset(set_union2(X1,X1),X1),
inference(rename_variables,[],[i_0_689]) ).
cnf(i_0_902,plain,
~ subset(set_union2(esk29_1(esk28_0),empty_set),subset_complement(esk26_0,esk27_0)),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_615,i_0_531,i_0_523,i_0_640,i_0_642,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_689,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_854,i_0_648,i_0_812,i_0_851,i_0_855,i_0_565,i_0_738,i_0_741,i_0_728,i_0_726,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_877,i_0_885,i_0_887,i_0_889,i_0_891,i_0_895,i_0_897,i_0_899,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404,i_0_332,i_0_483,i_0_482,i_0_489,i_0_490,i_0_461,i_0_484,i_0_486,i_0_487,i_0_488,i_0_494,i_0_485]) ).
cnf(i_0_903,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_904,plain,
~ proper_subset(X1,set_union2(set_difference(X1,empty_set),set_difference(X1,empty_set))),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_615,i_0_531,i_0_523,i_0_640,i_0_642,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_689,i_0_691,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_854,i_0_648,i_0_812,i_0_851,i_0_855,i_0_565,i_0_738,i_0_741,i_0_728,i_0_726,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_877,i_0_885,i_0_887,i_0_889,i_0_891,i_0_895,i_0_897,i_0_899,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404,i_0_332,i_0_483,i_0_482,i_0_489,i_0_490,i_0_461,i_0_484,i_0_486,i_0_487,i_0_488,i_0_494,i_0_485,i_0_493]) ).
cnf(i_0_905,plain,
~ proper_subset(X1,set_union2(X1,X1)),
inference(rename_variables,[],[i_0_691]) ).
cnf(i_0_906,plain,
in(X1,set_difference(powerset(X1),set_difference(powerset(X1),powerset(X1)))),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_615,i_0_531,i_0_523,i_0_640,i_0_642,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_689,i_0_691,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_854,i_0_648,i_0_812,i_0_851,i_0_855,i_0_565,i_0_738,i_0_741,i_0_728,i_0_726,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_877,i_0_885,i_0_887,i_0_889,i_0_891,i_0_895,i_0_897,i_0_899,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_339,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404,i_0_332,i_0_483,i_0_482,i_0_489,i_0_490,i_0_461,i_0_484,i_0_486,i_0_487,i_0_488,i_0_494,i_0_485,i_0_493,i_0_318]) ).
cnf(i_0_907,plain,
set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
inference(rename_variables,[],[i_0_339]) ).
cnf(i_0_908,plain,
( X1 != set_difference(X2,set_difference(X2,X3))
| ~ in(X4,X3)
| ~ in(X4,X2)
| in(X4,X1) ),
inference(rename_variables,[],[i_0_318]) ).
cnf(i_0_909,plain,
~ in(esk28_0,set_union2(set_union2(subset_complement(esk26_0,esk27_0),subset_complement(esk26_0,esk27_0)),empty_set)),
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_615,i_0_531,i_0_523,i_0_640,i_0_642,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_689,i_0_691,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_854,i_0_648,i_0_812,i_0_851,i_0_855,i_0_565,i_0_738,i_0_741,i_0_728,i_0_726,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_877,i_0_885,i_0_887,i_0_889,i_0_891,i_0_895,i_0_897,i_0_899,i_0_903,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_339,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404,i_0_332,i_0_483,i_0_482,i_0_489,i_0_490,i_0_461,i_0_484,i_0_486,i_0_487,i_0_488,i_0_494,i_0_485,i_0_493,i_0_318,i_0_348]) ).
cnf(i_0_910,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_911,plain,
( X1 != set_union2(X2,X3)
| in(X4,X2)
| in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_912,plain,
$false,
inference(scs_inference,[],[i_0_386,i_0_440,i_0_451,i_0_458,i_0_543,i_0_830,i_0_844,i_0_693,i_0_609,i_0_615,i_0_531,i_0_523,i_0_640,i_0_642,i_0_594,i_0_450,i_0_545,i_0_561,i_0_574,i_0_689,i_0_691,i_0_556,i_0_803,i_0_806,i_0_816,i_0_823,i_0_827,i_0_837,i_0_847,i_0_858,i_0_874,i_0_644,i_0_770,i_0_773,i_0_776,i_0_789,i_0_794,i_0_797,i_0_813,i_0_850,i_0_854,i_0_648,i_0_812,i_0_851,i_0_855,i_0_565,i_0_738,i_0_741,i_0_728,i_0_726,i_0_682,i_0_448,i_0_819,i_0_822,i_0_826,i_0_833,i_0_836,i_0_861,i_0_864,i_0_873,i_0_877,i_0_885,i_0_887,i_0_889,i_0_891,i_0_895,i_0_897,i_0_899,i_0_903,i_0_572,i_0_457,i_0_578,i_0_431,i_0_453,i_0_437,i_0_339,i_0_340,i_0_345,i_0_346,i_0_372,i_0_509,i_0_510,i_0_512,i_0_307,i_0_341,i_0_397,i_0_401,i_0_423,i_0_429,i_0_432,i_0_438,i_0_454,i_0_496,i_0_497,i_0_500,i_0_506,i_0_503,i_0_508,i_0_517,i_0_439,i_0_380,i_0_433,i_0_378,i_0_379,i_0_460,i_0_511,i_0_350,i_0_351,i_0_373,i_0_336,i_0_356,i_0_369,i_0_370,i_0_371,i_0_375,i_0_388,i_0_394,i_0_406,i_0_421,i_0_505,i_0_507,i_0_297,i_0_298,i_0_325,i_0_357,i_0_393,i_0_405,i_0_424,i_0_374,i_0_403,i_0_404,i_0_332,i_0_483,i_0_482,i_0_489,i_0_490,i_0_461,i_0_484,i_0_486,i_0_487,i_0_488,i_0_494,i_0_485,i_0_493,i_0_318,i_0_348,i_0_349]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU171+2 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n008.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 02:46:43 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.74/1.61 % Version : CSE_E---1.7
% 0.74/1.61 % Problem : theBenchmark.p
% 0.74/1.61 % SZS status Theorem for theBenchmark.p
% 0.74/1.61 % SZS output start CNFRefutation
% See solution above
% 3.16/4.02 % Total time : 1.271s
%------------------------------------------------------------------------------