%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU169+2 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n004.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 0.55s 1.61s
% Output : CNFRefutation 3.24s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_102)
% Comments :
%------------------------------------------------------------------------------
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(t69_enumset1,lemma,
! [X1] : unordered_pair(X1,X1) = singleton(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(fc1_zfmisc_1,axiom,
! [X1,X2] : ~ empty(ordered_pair(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_zfmisc_1) ).
fof(t4_xboole_0,lemma,
! [X1,X2] :
( ~ ( ~ disjoint(X1,X2)
& ! [X3] : ~ in(X3,set_intersection2(X1,X2)) )
& ~ ( ? [X3] : in(X3,set_intersection2(X1,X2))
& disjoint(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_xboole_0) ).
fof(t65_zfmisc_1,lemma,
! [X1,X2] :
( set_difference(X1,singleton(X2)) = X1
<=> ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_zfmisc_1) ).
fof(l28_zfmisc_1,lemma,
! [X1,X2] :
( ~ in(X1,X2)
=> disjoint(singleton(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l28_zfmisc_1) ).
fof(d2_zfmisc_1,axiom,
! [X1,X2,X3] :
( X3 = cartesian_product2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5,X6] :
( in(X5,X1)
& in(X6,X2)
& X4 = ordered_pair(X5,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_intersection2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& in(X4,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(t48_xboole_1,lemma,
! [X1,X2] : set_difference(X1,set_difference(X1,X2)) = set_intersection2(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(d4_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_difference(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& ~ in(X4,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(t106_zfmisc_1,lemma,
! [X1,X2,X3,X4] :
( in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
<=> ( in(X1,X3)
& in(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(l55_zfmisc_1,lemma,
! [X1,X2,X3,X4] :
( in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
<=> ( in(X1,X3)
& in(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
fof(t33_zfmisc_1,lemma,
! [X1,X2,X3,X4] :
( ordered_pair(X1,X2) = ordered_pair(X3,X4)
=> ( X1 = X3
& X2 = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_zfmisc_1) ).
fof(t26_xboole_1,lemma,
! [X1,X2,X3] :
( subset(X1,X2)
=> subset(set_intersection2(X1,X3),set_intersection2(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_xboole_1) ).
fof(t19_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X2)
& subset(X1,X3) )
=> subset(X1,set_intersection2(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(l3_zfmisc_1,lemma,
! [X1,X2,X3] :
( subset(X1,X2)
=> ( in(X3,X1)
| subset(X1,set_difference(X2,singleton(X3))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_zfmisc_1) ).
fof(t6_zfmisc_1,lemma,
! [X1,X2] :
( subset(singleton(X1),singleton(X2))
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_zfmisc_1) ).
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = singleton(X1)
<=> ! [X3] :
( in(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(t9_tarski,axiom,
! [X1] :
? [X2] :
( in(X1,X2)
& ! [X3,X4] :
( ( in(X3,X2)
& subset(X4,X3) )
=> in(X4,X2) )
& ! [X3] :
~ ( in(X3,X2)
& ! [X4] :
~ ( in(X4,X2)
& ! [X5] :
( subset(X5,X3)
=> in(X5,X4) ) ) )
& ! [X3] :
~ ( subset(X3,X2)
& ~ are_equipotent(X3,X2)
& ~ in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_tarski) ).
fof(t17_xboole_1,lemma,
! [X1,X2] : subset(set_intersection2(X1,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(l25_zfmisc_1,lemma,
! [X1,X2] :
~ ( disjoint(singleton(X1),X2)
& in(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l25_zfmisc_1) ).
fof(t39_zfmisc_1,lemma,
! [X1,X2] :
( subset(X1,singleton(X2))
<=> ( X1 = empty_set
| X1 = singleton(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_zfmisc_1) ).
fof(l4_zfmisc_1,lemma,
! [X1,X2] :
( subset(X1,singleton(X2))
<=> ( X1 = empty_set
| X1 = singleton(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_zfmisc_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(t37_zfmisc_1,lemma,
! [X1,X2] :
( subset(singleton(X1),X2)
<=> in(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_zfmisc_1) ).
fof(l2_zfmisc_1,lemma,
! [X1,X2] :
( subset(singleton(X1),X2)
<=> in(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(d7_xboole_0,axiom,
! [X1,X2] :
( disjoint(X1,X2)
<=> set_intersection2(X1,X2) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).
fof(t136_zfmisc_1,lemma,
! [X1] :
? [X2] :
( in(X1,X2)
& ! [X3,X4] :
( ( in(X3,X2)
& subset(X4,X3) )
=> in(X4,X2) )
& ! [X3] :
( in(X3,X2)
=> in(powerset(X3),X2) )
& ! [X3] :
~ ( subset(X3,X2)
& ~ are_equipotent(X3,X2)
& ~ in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t136_zfmisc_1) ).
fof(t3_xboole_0,lemma,
! [X1,X2] :
( ~ ( ~ disjoint(X1,X2)
& ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) ) )
& ~ ( ? [X3] :
( in(X3,X1)
& in(X3,X2) )
& disjoint(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
fof(t46_zfmisc_1,lemma,
! [X1,X2] :
( in(X1,X2)
=> set_union2(singleton(X1),X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_zfmisc_1) ).
fof(l23_zfmisc_1,lemma,
! [X1,X2] :
( in(X1,X2)
=> set_union2(singleton(X1),X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l23_zfmisc_1) ).
fof(t28_xboole_1,lemma,
! [X1,X2] :
( subset(X1,X2)
=> set_intersection2(X1,X2) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1) ).
fof(fc2_xboole_0,axiom,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_xboole_0) ).
fof(fc3_xboole_0,axiom,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_xboole_0) ).
fof(t8_zfmisc_1,lemma,
! [X1,X2,X3] :
( singleton(X1) = unordered_pair(X2,X3)
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_zfmisc_1) ).
fof(t9_zfmisc_1,lemma,
! [X1,X2,X3] :
( singleton(X1) = unordered_pair(X2,X3)
=> X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_zfmisc_1) ).
fof(antisymmetry_r2_xboole_0,axiom,
! [X1,X2] :
( proper_subset(X1,X2)
=> ~ proper_subset(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_xboole_0) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ empty(X1)
=> ( element(X2,X1)
<=> in(X2,X1) ) )
& ( empty(X1)
=> ( element(X2,X1)
<=> empty(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).
fof(idempotence_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(t2_boole,axiom,
! [X1] : set_intersection2(X1,empty_set) = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_boole) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(irreflexivity_r2_xboole_0,axiom,
! [X1,X2] : ~ proper_subset(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_r2_xboole_0) ).
fof(l1_zfmisc_1,lemma,
! [X1] : singleton(X1) != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_zfmisc_1) ).
fof(l3_subset_1,conjecture,
! [X1,X2] :
( element(X2,powerset(X1))
=> ! [X3] :
( in(X3,X2)
=> in(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_subset_1) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ empty(powerset(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ empty(X1),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(d2_tarski,axiom,
! [X1,X2,X3] :
( X3 = unordered_pair(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( X4 = X1
| X4 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
fof(d4_tarski,axiom,
! [X1,X2] :
( X2 = union(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X3,X4)
& in(X4,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
fof(d1_zfmisc_1,axiom,
! [X1,X2] :
( X2 = powerset(X1)
<=> ! [X3] :
( in(X3,X2)
<=> subset(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
<=> in(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(t119_zfmisc_1,lemma,
! [X1,X2,X3,X4] :
( ( subset(X1,X2)
& subset(X3,X4) )
=> subset(cartesian_product2(X1,X3),cartesian_product2(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_zfmisc_1) ).
fof(t33_xboole_1,lemma,
! [X1,X2,X3] :
( subset(X1,X2)
=> subset(set_difference(X1,X3),set_difference(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_xboole_1) ).
fof(t118_zfmisc_1,lemma,
! [X1,X2,X3] :
( subset(X1,X2)
=> ( subset(cartesian_product2(X1,X3),cartesian_product2(X2,X3))
& subset(cartesian_product2(X3,X1),cartesian_product2(X3,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_zfmisc_1) ).
fof(t8_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X2)
& subset(X3,X2) )
=> subset(set_union2(X1,X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(t38_zfmisc_1,lemma,
! [X1,X2,X3] :
( subset(unordered_pair(X1,X2),X3)
<=> ( in(X1,X3)
& in(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_zfmisc_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(t45_xboole_1,lemma,
! [X1,X2] :
( subset(X1,X2)
=> X2 = set_union2(X1,set_difference(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_xboole_1) ).
fof(t63_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X2)
& disjoint(X2,X3) )
=> disjoint(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_xboole_1) ).
fof(t1_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X2)
& subset(X2,X3) )
=> subset(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(t40_xboole_1,lemma,
! [X1,X2] : set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_xboole_1) ).
fof(t39_xboole_1,lemma,
! [X1,X2] : set_union2(X1,set_difference(X2,X1)) = set_union2(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(t10_zfmisc_1,lemma,
! [X1,X2,X3,X4] :
~ ( unordered_pair(X1,X2) = unordered_pair(X3,X4)
& X1 != X3
& X1 != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_zfmisc_1) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(t60_xboole_1,lemma,
! [X1,X2] :
~ ( subset(X1,X2)
& proper_subset(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_xboole_1) ).
fof(t92_zfmisc_1,lemma,
! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_zfmisc_1) ).
fof(l50_zfmisc_1,lemma,
! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l50_zfmisc_1) ).
fof(t36_xboole_1,lemma,
! [X1,X2] : subset(set_difference(X1,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_xboole_1) ).
fof(t7_xboole_1,lemma,
! [X1,X2] : subset(X1,set_union2(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(d8_xboole_0,axiom,
! [X1,X2] :
( proper_subset(X1,X2)
<=> ( subset(X1,X2)
& X1 != X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_xboole_0) ).
fof(t83_xboole_1,lemma,
! [X1,X2] :
( disjoint(X1,X2)
<=> set_difference(X1,X2) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_xboole_1) ).
fof(t12_xboole_1,lemma,
! [X1,X2] :
( subset(X1,X2)
=> set_union2(X1,X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(symmetry_r1_xboole_0,axiom,
! [X1,X2] :
( disjoint(X1,X2)
=> disjoint(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(t37_xboole_1,lemma,
! [X1,X2] :
( set_difference(X1,X2) = empty_set
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_xboole_1) ).
fof(l32_xboole_1,lemma,
! [X1,X2] :
( set_difference(X1,X2) = empty_set
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l32_xboole_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(commutativity_k2_xboole_0,axiom,
! [X1,X2] : set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(t3_xboole_1,lemma,
! [X1] :
( subset(X1,empty_set)
=> X1 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(idempotence_k2_xboole_0,axiom,
! [X1,X2] : set_union2(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(t1_zfmisc_1,lemma,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_zfmisc_1) ).
fof(t3_boole,axiom,
! [X1] : set_difference(X1,empty_set) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_boole) ).
fof(t1_boole,axiom,
! [X1] : set_union2(X1,empty_set) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_boole) ).
fof(t2_xboole_1,lemma,
! [X1] : subset(empty_set,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(t4_boole,axiom,
! [X1] : set_difference(empty_set,X1) = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_boole) ).
fof(t99_zfmisc_1,lemma,
! [X1] : union(powerset(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_zfmisc_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_94,plain,
! [X334,X335] : ordered_pair(X334,X335) = unordered_pair(unordered_pair(X334,X335),singleton(X334)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(i_0_95,lemma,
! [X476] : unordered_pair(X476,X476) = singleton(X476),
inference(variable_rename,[status(thm)],[t69_enumset1]) ).
fof(i_0_96,plain,
! [X1,X2] : ~ empty(ordered_pair(X1,X2)),
inference(fof_simplification,[status(thm)],[fc1_zfmisc_1]) ).
fof(i_0_97,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_98,lemma,
! [X1,X2] :
( set_difference(X1,singleton(X2)) = X1
<=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[t65_zfmisc_1]) ).
fof(i_0_99,lemma,
! [X1,X2] :
( ~ in(X1,X2)
=> disjoint(singleton(X1),X2) ),
inference(fof_simplification,[status(thm)],[l28_zfmisc_1]) ).
fof(i_0_100,plain,
! [X282,X283,X284,X285,X288,X289,X290,X291,X292,X293,X295,X296] :
( ( in(esk6_4(X282,X283,X284,X285),X282)
| ~ in(X285,X284)
| X284 != cartesian_product2(X282,X283) )
& ( in(esk7_4(X282,X283,X284,X285),X283)
| ~ in(X285,X284)
| X284 != cartesian_product2(X282,X283) )
& ( X285 = ordered_pair(esk6_4(X282,X283,X284,X285),esk7_4(X282,X283,X284,X285))
| ~ in(X285,X284)
| X284 != cartesian_product2(X282,X283) )
& ( ~ in(X289,X282)
| ~ in(X290,X283)
| X288 != ordered_pair(X289,X290)
| in(X288,X284)
| X284 != cartesian_product2(X282,X283) )
& ( ~ in(esk8_3(X291,X292,X293),X293)
| ~ in(X295,X291)
| ~ in(X296,X292)
| esk8_3(X291,X292,X293) != ordered_pair(X295,X296)
| X293 = cartesian_product2(X291,X292) )
& ( in(esk9_3(X291,X292,X293),X291)
| in(esk8_3(X291,X292,X293),X293)
| X293 = cartesian_product2(X291,X292) )
& ( in(esk10_3(X291,X292,X293),X292)
| in(esk8_3(X291,X292,X293),X293)
| X293 = cartesian_product2(X291,X292) )
& ( esk8_3(X291,X292,X293) = ordered_pair(esk9_3(X291,X292,X293),esk10_3(X291,X292,X293))
| in(esk8_3(X291,X292,X293),X293)
| X293 = cartesian_product2(X291,X292) ) ),
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_101,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[i_0_94]) ).
cnf(i_0_102,lemma,
unordered_pair(X1,X1) = singleton(X1),
inference(split_conjunct,[status(thm)],[i_0_95]) ).
fof(i_0_103,plain,
! [X305,X306,X307,X308,X309,X310,X311,X312] :
( ( in(X308,X305)
| ~ in(X308,X307)
| X307 != set_intersection2(X305,X306) )
& ( in(X308,X306)
| ~ in(X308,X307)
| X307 != set_intersection2(X305,X306) )
& ( ~ in(X309,X305)
| ~ in(X309,X306)
| in(X309,X307)
| X307 != set_intersection2(X305,X306) )
& ( ~ in(esk12_3(X310,X311,X312),X312)
| ~ in(esk12_3(X310,X311,X312),X310)
| ~ in(esk12_3(X310,X311,X312),X311)
| X312 = set_intersection2(X310,X311) )
& ( in(esk12_3(X310,X311,X312),X310)
| in(esk12_3(X310,X311,X312),X312)
| X312 = set_intersection2(X310,X311) )
& ( in(esk12_3(X310,X311,X312),X311)
| in(esk12_3(X310,X311,X312),X312)
| X312 = set_intersection2(X310,X311) ) ),
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_104,lemma,
! [X460,X461] : set_difference(X460,set_difference(X460,X461)) = set_intersection2(X460,X461),
inference(variable_rename,[status(thm)],[t48_xboole_1]) ).
fof(i_0_105,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_106,lemma,
! [X384,X385,X386,X387] :
( ( in(X384,X386)
| ~ in(ordered_pair(X384,X385),cartesian_product2(X386,X387)) )
& ( in(X385,X387)
| ~ in(ordered_pair(X384,X385),cartesian_product2(X386,X387)) )
& ( ~ in(X384,X386)
| ~ in(X385,X387)
| in(ordered_pair(X384,X385),cartesian_product2(X386,X387)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t106_zfmisc_1])])]) ).
fof(i_0_107,lemma,
! [X373,X374,X375,X376] :
( ( in(X373,X375)
| ~ in(ordered_pair(X373,X374),cartesian_product2(X375,X376)) )
& ( in(X374,X376)
| ~ in(ordered_pair(X373,X374),cartesian_product2(X375,X376)) )
& ( ~ in(X373,X375)
| ~ in(X374,X376)
| in(ordered_pair(X373,X374),cartesian_product2(X375,X376)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l55_zfmisc_1])])]) ).
fof(i_0_108,plain,
! [X343,X344] : ~ empty(ordered_pair(X343,X344)),
inference(variable_rename,[status(thm)],[i_0_96]) ).
fof(i_0_109,lemma,
! [X429,X430,X431,X432] :
( ( X429 = X431
| ordered_pair(X429,X430) != ordered_pair(X431,X432) )
& ( X430 = X432
| ordered_pair(X429,X430) != ordered_pair(X431,X432) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_zfmisc_1])])]) ).
fof(i_0_110,lemma,
! [X416,X417,X418] :
( ~ subset(X416,X417)
| subset(set_intersection2(X416,X418),set_intersection2(X417,X418)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t26_xboole_1])]) ).
fof(i_0_111,lemma,
! [X463,X464,X466,X467,X468] :
( ( disjoint(X463,X464)
| in(esk27_2(X463,X464),set_intersection2(X463,X464)) )
& ( ~ in(X468,set_intersection2(X466,X467))
| ~ disjoint(X466,X467) ) ),
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_97])])])])]) ).
fof(i_0_112,lemma,
! [X409,X410,X411] :
( ~ subset(X409,X410)
| ~ subset(X409,X411)
| subset(X409,set_intersection2(X410,X411)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_xboole_1])]) ).
fof(i_0_113,lemma,
! [X366,X367,X368] :
( ~ subset(X366,X367)
| in(X368,X366)
| subset(X366,set_difference(X367,singleton(X368))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l3_zfmisc_1])]) ).
fof(i_0_114,lemma,
! [X478,X479] :
( ~ subset(singleton(X478),singleton(X479))
| X478 = X479 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_zfmisc_1])]) ).
fof(i_0_115,plain,
! [X244,X245,X246,X247,X248,X249] :
( ( ~ in(X246,X245)
| X246 = X244
| X245 != singleton(X244) )
& ( X247 != X244
| in(X247,X245)
| X245 != singleton(X244) )
& ( ~ in(esk1_2(X248,X249),X249)
| esk1_2(X248,X249) != X248
| X249 = singleton(X248) )
& ( in(esk1_2(X248,X249),X249)
| esk1_2(X248,X249) = X248
| X249 = singleton(X248) ) ),
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_116,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_117,lemma,
! [X407,X408] : subset(set_intersection2(X407,X408),X407),
inference(variable_rename,[status(thm)],[t17_xboole_1]) ).
fof(i_0_118,lemma,
! [X474,X475] :
( ( set_difference(X474,singleton(X475)) != X474
| ~ in(X475,X474) )
& ( in(X475,X474)
| set_difference(X474,singleton(X475)) = X474 ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_98])]) ).
fof(i_0_119,lemma,
! [X355,X356] :
( ~ disjoint(singleton(X355),X356)
| ~ in(X355,X356) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l25_zfmisc_1])]) ).
fof(i_0_120,lemma,
! [X444,X445] :
( ( ~ subset(X444,singleton(X445))
| X444 = empty_set
| X444 = singleton(X445) )
& ( X444 != empty_set
| subset(X444,singleton(X445)) )
& ( X444 != singleton(X445)
| subset(X444,singleton(X445)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t39_zfmisc_1])])]) ).
fof(i_0_121,lemma,
! [X369,X370] :
( ( ~ subset(X369,singleton(X370))
| X369 = empty_set
| X369 = singleton(X370) )
& ( X369 != empty_set
| subset(X369,singleton(X370)) )
& ( X369 != singleton(X370)
| subset(X369,singleton(X370)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l4_zfmisc_1])])]) ).
fof(i_0_122,plain,
! [X240,X241] : set_intersection2(X240,X241) = set_intersection2(X241,X240),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(i_0_123,lemma,
! [X437,X438] :
( ( ~ subset(singleton(X437),X438)
| in(X437,X438) )
& ( ~ in(X437,X438)
| subset(singleton(X437),X438) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_zfmisc_1])]) ).
fof(i_0_124,lemma,
! [X359,X360] :
( ( ~ subset(singleton(X359),X360)
| in(X359,X360) )
& ( ~ in(X359,X360)
| subset(singleton(X359),X360) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l2_zfmisc_1])]) ).
fof(i_0_125,plain,
! [X336,X337] :
( ( ~ disjoint(X336,X337)
| set_intersection2(X336,X337) = empty_set )
& ( set_intersection2(X336,X337) != empty_set
| disjoint(X336,X337) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_xboole_0])]) ).
fof(i_0_126,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_127,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_128,lemma,
! [X458,X459] :
( ~ in(X458,X459)
| set_union2(singleton(X458),X459) = X459 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_zfmisc_1])]) ).
fof(i_0_129,lemma,
! [X353,X354] :
( ~ in(X353,X354)
| set_union2(singleton(X353),X354) = X354 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l23_zfmisc_1])]) ).
fof(i_0_130,lemma,
! [X419,X420] :
( ~ subset(X419,X420)
| set_intersection2(X419,X420) = X419 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t28_xboole_1])]) ).
fof(i_0_131,lemma,
! [X357,X358] :
( in(X357,X358)
| disjoint(singleton(X357),X358) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_99])]) ).
fof(i_0_132,plain,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc2_xboole_0]) ).
fof(i_0_133,plain,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X2,X1)) ),
inference(fof_simplification,[status(thm)],[fc3_xboole_0]) ).
fof(i_0_134,lemma,
! [X491,X492,X493] :
( singleton(X491) != unordered_pair(X492,X493)
| X491 = X492 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_zfmisc_1])]) ).
fof(i_0_135,lemma,
! [X505,X506,X507] :
( singleton(X505) != unordered_pair(X506,X507)
| X506 = X507 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_zfmisc_1])]) ).
fof(i_0_136,plain,
! [X1,X2] :
( proper_subset(X1,X2)
=> ~ proper_subset(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_xboole_0]) ).
fof(i_0_137,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_138,plain,
! [X1,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_139,plain,
! [X350] : set_intersection2(X350,X350) = X350,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])]) ).
fof(i_0_140,plain,
! [X421] : set_intersection2(X421,empty_set) = empty_set,
inference(variable_rename,[status(thm)],[t2_boole]) ).
fof(i_0_141,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(i_0_142,plain,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
fof(i_0_143,plain,
! [X1,X2] : ~ proper_subset(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_r2_xboole_0]) ).
fof(i_0_144,lemma,
! [X352] : singleton(X352) != empty_set,
inference(variable_rename,[status(thm)],[l1_zfmisc_1]) ).
fof(i_0_145,negated_conjecture,
~ ! [X1,X2] :
( element(X2,powerset(X1))
=> ! [X3] :
( in(X3,X2)
=> in(X3,X1) ) ),
inference(assume_negation,[status(cth)],[l3_subset_1]) ).
fof(i_0_146,plain,
! [X1] : ~ empty(powerset(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(i_0_147,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
cnf(i_0_148,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_100]) ).
cnf(i_0_149,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),
inference(rw,[status(thm)],[i_0_101,c_0_102]) ).
cnf(i_0_150,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_100]) ).
cnf(i_0_151,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_103]) ).
cnf(i_0_152,lemma,
set_difference(X1,set_difference(X1,X2)) = set_intersection2(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_104]) ).
fof(i_0_153,plain,
! [X325,X326,X327,X328,X329,X330,X331,X332] :
( ( in(X328,X325)
| ~ in(X328,X327)
| X327 != set_difference(X325,X326) )
& ( ~ in(X328,X326)
| ~ in(X328,X327)
| X327 != set_difference(X325,X326) )
& ( ~ in(X329,X325)
| in(X329,X326)
| in(X329,X327)
| X327 != set_difference(X325,X326) )
& ( ~ in(esk16_3(X330,X331,X332),X332)
| ~ in(esk16_3(X330,X331,X332),X330)
| in(esk16_3(X330,X331,X332),X331)
| X332 = set_difference(X330,X331) )
& ( in(esk16_3(X330,X331,X332),X330)
| in(esk16_3(X330,X331,X332),X332)
| X332 = set_difference(X330,X331) )
& ( ~ in(esk16_3(X330,X331,X332),X331)
| in(esk16_3(X330,X331,X332),X332)
| X332 = set_difference(X330,X331) ) ),
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_105])])])])])]) ).
cnf(i_0_154,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_100]) ).
fof(i_0_155,plain,
! [X273,X274,X275,X276,X277,X278,X279,X280] :
( ( ~ in(X276,X275)
| in(X276,X273)
| in(X276,X274)
| X275 != set_union2(X273,X274) )
& ( ~ in(X277,X273)
| in(X277,X275)
| X275 != set_union2(X273,X274) )
& ( ~ in(X277,X274)
| in(X277,X275)
| X275 != set_union2(X273,X274) )
& ( ~ in(esk5_3(X278,X279,X280),X278)
| ~ in(esk5_3(X278,X279,X280),X280)
| X280 = set_union2(X278,X279) )
& ( ~ in(esk5_3(X278,X279,X280),X279)
| ~ in(esk5_3(X278,X279,X280),X280)
| X280 = set_union2(X278,X279) )
& ( in(esk5_3(X278,X279,X280),X280)
| in(esk5_3(X278,X279,X280),X278)
| in(esk5_3(X278,X279,X280),X279)
| X280 = set_union2(X278,X279) ) ),
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_156,plain,
! [X264,X265,X266,X267,X268,X269,X270,X271] :
( ( ~ in(X267,X266)
| X267 = X264
| X267 = X265
| X266 != unordered_pair(X264,X265) )
& ( X268 != X264
| in(X268,X266)
| X266 != unordered_pair(X264,X265) )
& ( X268 != X265
| in(X268,X266)
| X266 != unordered_pair(X264,X265) )
& ( esk4_3(X269,X270,X271) != X269
| ~ in(esk4_3(X269,X270,X271),X271)
| X271 = unordered_pair(X269,X270) )
& ( esk4_3(X269,X270,X271) != X270
| ~ in(esk4_3(X269,X270,X271),X271)
| X271 = unordered_pair(X269,X270) )
& ( in(esk4_3(X269,X270,X271),X271)
| esk4_3(X269,X270,X271) = X269
| esk4_3(X269,X270,X271) = X270
| X271 = unordered_pair(X269,X270) ) ),
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_157,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_103]) ).
cnf(i_0_158,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_103]) ).
cnf(i_0_159,lemma,
( in(X1,X2)
| ~ in(ordered_pair(X1,X3),cartesian_product2(X2,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_106]) ).
cnf(i_0_160,lemma,
( in(X1,X2)
| ~ in(ordered_pair(X1,X3),cartesian_product2(X2,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_107]) ).
cnf(i_0_161,lemma,
( in(X1,X2)
| ~ in(ordered_pair(X3,X1),cartesian_product2(X4,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_106]) ).
cnf(i_0_162,lemma,
( in(X1,X2)
| ~ in(ordered_pair(X3,X1),cartesian_product2(X4,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_107]) ).
cnf(i_0_163,lemma,
( in(ordered_pair(X1,X3),cartesian_product2(X2,X4))
| ~ in(X1,X2)
| ~ in(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_106]) ).
cnf(i_0_164,lemma,
( in(ordered_pair(X1,X3),cartesian_product2(X2,X4))
| ~ in(X1,X2)
| ~ in(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_107]) ).
cnf(i_0_165,plain,
~ empty(ordered_pair(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_108]) ).
cnf(i_0_166,lemma,
( X1 = X2
| ordered_pair(X1,X3) != ordered_pair(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_109]) ).
cnf(i_0_167,lemma,
( X1 = X2
| ordered_pair(X3,X1) != ordered_pair(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_109]) ).
cnf(i_0_168,lemma,
( subset(set_intersection2(X1,X3),set_intersection2(X2,X3))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_110]) ).
cnf(i_0_169,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_100]) ).
cnf(i_0_170,lemma,
( ~ in(X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_111]) ).
fof(i_0_171,plain,
! [X314,X315,X316,X318,X319,X320,X321,X323] :
( ( in(X316,esk13_3(X314,X315,X316))
| ~ in(X316,X315)
| X315 != union(X314) )
& ( in(esk13_3(X314,X315,X316),X314)
| ~ in(X316,X315)
| X315 != union(X314) )
& ( ~ in(X318,X319)
| ~ in(X319,X314)
| in(X318,X315)
| X315 != union(X314) )
& ( ~ in(esk14_2(X320,X321),X321)
| ~ in(esk14_2(X320,X321),X323)
| ~ in(X323,X320)
| X321 = union(X320) )
& ( in(esk14_2(X320,X321),esk15_2(X320,X321))
| in(esk14_2(X320,X321),X321)
| X321 = union(X320) )
& ( in(esk15_2(X320,X321),X320)
| in(esk14_2(X320,X321),X321)
| X321 = union(X320) ) ),
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])])])])])]) ).
cnf(i_0_172,lemma,
( subset(X1,set_intersection2(X2,X3))
| ~ subset(X1,X2)
| ~ subset(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_112]) ).
cnf(i_0_173,lemma,
( disjoint(X1,X2)
| in(esk27_2(X1,X2),set_intersection2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_111]) ).
fof(i_0_174,plain,
! [X255,X256,X257,X258,X259,X260] :
( ( ~ in(X257,X256)
| subset(X257,X255)
| X256 != powerset(X255) )
& ( ~ subset(X258,X255)
| in(X258,X256)
| X256 != powerset(X255) )
& ( ~ in(esk3_2(X259,X260),X260)
| ~ subset(esk3_2(X259,X260),X259)
| X260 = powerset(X259) )
& ( in(esk3_2(X259,X260),X260)
| subset(esk3_2(X259,X260),X259)
| X260 = powerset(X259) ) ),
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_175,lemma,
( in(X3,X1)
| subset(X1,set_difference(X2,singleton(X3)))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_113]) ).
fof(i_0_176,plain,
! [X422,X423] :
( ( ~ in(esk25_2(X422,X423),X422)
| ~ in(esk25_2(X422,X423),X423)
| X422 = X423 )
& ( in(esk25_2(X422,X423),X422)
| in(esk25_2(X422,X423),X423)
| X422 = X423 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
cnf(i_0_177,plain,
( in(X1,X4)
| ~ in(X1,X2)
| ~ in(X1,X3)
| X4 != set_intersection2(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_103]) ).
fof(i_0_178,lemma,
! [X395,X396,X397,X398] :
( ~ subset(X395,X396)
| ~ subset(X397,X398)
| subset(cartesian_product2(X395,X397),cartesian_product2(X396,X398)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t119_zfmisc_1])]) ).
cnf(i_0_179,lemma,
( X1 = X2
| ~ subset(singleton(X1),singleton(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_114]) ).
cnf(i_0_180,plain,
( X2 = singleton(X1)
| ~ in(esk1_2(X1,X2),X2)
| esk1_2(X1,X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_115]) ).
cnf(i_0_181,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_103]) ).
cnf(i_0_182,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_103]) ).
fof(i_0_183,plain,
! [X497,X499,X500,X501,X503,X504] :
( in(X497,esk28_1(X497))
& ( ~ in(X499,esk28_1(X497))
| ~ subset(X500,X499)
| in(X500,esk28_1(X497)) )
& ( in(esk29_2(X497,X501),esk28_1(X497))
| ~ in(X501,esk28_1(X497)) )
& ( ~ subset(X503,X501)
| in(X503,esk29_2(X497,X501))
| ~ in(X501,esk28_1(X497)) )
& ( ~ subset(X504,esk28_1(X497))
| are_equipotent(X504,esk28_1(X497))
| in(X504,esk28_1(X497)) ) ),
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_116])])])])]) ).
cnf(i_0_184,lemma,
subset(set_intersection2(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_117]) ).
fof(i_0_185,lemma,
! [X426,X427,X428] :
( ~ subset(X426,X427)
| subset(set_difference(X426,X428),set_difference(X427,X428)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_xboole_1])]) ).
fof(i_0_186,lemma,
! [X392,X393,X394] :
( ( subset(cartesian_product2(X392,X394),cartesian_product2(X393,X394))
| ~ subset(X392,X393) )
& ( subset(cartesian_product2(X394,X392),cartesian_product2(X394,X393))
| ~ subset(X392,X393) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t118_zfmisc_1])])]) ).
cnf(i_0_187,lemma,
( set_difference(X1,singleton(X2)) != X1
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]) ).
cnf(i_0_188,lemma,
( ~ disjoint(singleton(X1),X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_119]) ).
fof(i_0_189,lemma,
! [X488,X489,X490] :
( ~ subset(X488,X489)
| ~ subset(X490,X489)
| subset(set_union2(X488,X490),X489) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_xboole_1])]) ).
fof(i_0_190,lemma,
! [X439,X440,X441] :
( ( in(X439,X441)
| ~ subset(unordered_pair(X439,X440),X441) )
& ( in(X440,X441)
| ~ subset(unordered_pair(X439,X440),X441) )
& ( ~ in(X439,X441)
| ~ in(X440,X441)
| subset(unordered_pair(X439,X440),X441) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t38_zfmisc_1])])]) ).
cnf(i_0_191,lemma,
( X1 = empty_set
| X1 = singleton(X2)
| ~ subset(X1,singleton(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_120]) ).
cnf(i_0_192,lemma,
( X1 = empty_set
| X1 = singleton(X2)
| ~ subset(X1,singleton(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_121]) ).
cnf(i_0_193,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_122]) ).
fof(i_0_194,plain,
! [X299,X300,X301,X302,X303] :
( ( ~ subset(X299,X300)
| ~ in(X301,X299)
| in(X301,X300) )
& ( in(esk11_2(X302,X303),X302)
| subset(X302,X303) )
& ( ~ in(esk11_2(X302,X303),X303)
| subset(X302,X303) ) ),
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_195,lemma,
( in(X1,X2)
| ~ subset(singleton(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_123]) ).
cnf(i_0_196,lemma,
( in(X1,X2)
| ~ subset(singleton(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_124]) ).
cnf(i_0_197,plain,
( disjoint(X1,X2)
| set_intersection2(X1,X2) != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_125]) ).
fof(i_0_198,lemma,
! [X401,X403,X404,X405,X406] :
( in(X401,esk24_1(X401))
& ( ~ in(X403,esk24_1(X401))
| ~ subset(X404,X403)
| in(X404,esk24_1(X401)) )
& ( ~ in(X405,esk24_1(X401))
| in(powerset(X405),esk24_1(X401)) )
& ( ~ subset(X406,esk24_1(X401))
| are_equipotent(X406,esk24_1(X401))
| in(X406,esk24_1(X401)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_126])])])]) ).
cnf(i_0_199,plain,
( in(esk1_2(X1,X2),X2)
| esk1_2(X1,X2) = X1
| X2 = singleton(X1) ),
inference(split_conjunct,[status(thm)],[i_0_115]) ).
fof(i_0_200,lemma,
! [X447,X448,X450,X451,X452] :
( ( in(esk26_2(X447,X448),X447)
| disjoint(X447,X448) )
& ( in(esk26_2(X447,X448),X448)
| disjoint(X447,X448) )
& ( ~ in(X452,X450)
| ~ in(X452,X451)
| ~ disjoint(X450,X451) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_127])])])])])]) ).
cnf(i_0_201,lemma,
( subset(X1,singleton(X2))
| X1 != singleton(X2) ),
inference(split_conjunct,[status(thm)],[i_0_120]) ).
cnf(i_0_202,lemma,
( subset(X1,singleton(X2))
| X1 != singleton(X2) ),
inference(split_conjunct,[status(thm)],[i_0_121]) ).
cnf(i_0_203,lemma,
( set_union2(singleton(X1),X2) = X2
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_128]) ).
cnf(i_0_204,lemma,
( set_union2(singleton(X1),X2) = X2
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_129]) ).
cnf(i_0_205,lemma,
( set_intersection2(X1,X2) = X1
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_130]) ).
fof(i_0_206,lemma,
! [X456,X457] :
( ~ subset(X456,X457)
| X457 = set_union2(X456,set_difference(X457,X456)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t45_xboole_1])]) ).
cnf(i_0_207,lemma,
( subset(singleton(X1),X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_123]) ).
cnf(i_0_208,lemma,
( subset(singleton(X1),X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_124]) ).
cnf(i_0_209,plain,
( set_intersection2(X1,X2) = empty_set
| ~ disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_125]) ).
fof(i_0_210,lemma,
! [X471,X472,X473] :
( ~ subset(X471,X472)
| ~ disjoint(X472,X473)
| disjoint(X471,X473) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t63_xboole_1])]) ).
fof(i_0_211,lemma,
! [X413,X414,X415] :
( ~ subset(X413,X414)
| ~ subset(X414,X415)
| subset(X413,X415) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
cnf(i_0_212,lemma,
( in(X1,X2)
| set_difference(X2,singleton(X1)) = X2 ),
inference(split_conjunct,[status(thm)],[i_0_118]) ).
cnf(i_0_213,lemma,
( in(X1,X2)
| disjoint(singleton(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_131]) ).
fof(i_0_214,lemma,
! [X454,X455] : set_difference(set_union2(X454,X455),X455) = set_difference(X454,X455),
inference(variable_rename,[status(thm)],[t40_xboole_1]) ).
fof(i_0_215,lemma,
! [X442,X443] : set_union2(X442,set_difference(X443,X442)) = set_union2(X442,X443),
inference(variable_rename,[status(thm)],[t39_xboole_1]) ).
fof(i_0_216,plain,
! [X345,X346] :
( empty(X345)
| ~ empty(set_union2(X345,X346)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_132])]) ).
fof(i_0_217,plain,
! [X347,X348] :
( empty(X347)
| ~ empty(set_union2(X348,X347)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_133])]) ).
cnf(i_0_218,plain,
( X1 = X3
| ~ in(X1,X2)
| X2 != singleton(X3) ),
inference(split_conjunct,[status(thm)],[i_0_115]) ).
fof(i_0_219,lemma,
! [X388,X389,X390,X391] :
( unordered_pair(X388,X389) != unordered_pair(X390,X391)
| X388 = X390
| X388 = X391 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_zfmisc_1])]) ).
fof(i_0_220,plain,
! [X242,X243] :
( ( subset(X242,X243)
| X242 != X243 )
& ( subset(X243,X242)
| X242 != X243 )
& ( ~ subset(X242,X243)
| ~ subset(X243,X242)
| X242 = X243 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
cnf(i_0_221,lemma,
( X1 = X2
| singleton(X1) != unordered_pair(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_134]) ).
cnf(i_0_222,lemma,
( X2 = X3
| singleton(X1) != unordered_pair(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_135]) ).
fof(i_0_223,lemma,
! [X469,X470] :
( ~ subset(X469,X470)
| ~ proper_subset(X470,X469) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t60_xboole_1])]) ).
fof(i_0_224,plain,
! [X234,X235] :
( ~ proper_subset(X234,X235)
| ~ proper_subset(X235,X234) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_136])]) ).
fof(i_0_225,plain,
! [X232,X233] :
( ~ in(X232,X233)
| ~ in(X233,X232) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_137])]) ).
fof(i_0_226,lemma,
! [X494,X495] :
( ~ in(X494,X495)
| subset(X494,union(X495)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t92_zfmisc_1])]) ).
fof(i_0_227,lemma,
! [X371,X372] :
( ~ in(X371,X372)
| subset(X371,union(X372)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l50_zfmisc_1])]) ).
cnf(i_0_228,lemma,
( subset(X1,singleton(X2))
| X1 != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_120]) ).
cnf(i_0_229,lemma,
( subset(X1,singleton(X2))
| X1 != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_121]) ).
cnf(i_0_230,plain,
( in(X1,X3)
| X1 != X2
| X3 != singleton(X2) ),
inference(split_conjunct,[status(thm)],[i_0_115]) ).
fof(i_0_231,plain,
! [X262,X263] :
( ( ~ element(X263,X262)
| in(X263,X262)
| empty(X262) )
& ( ~ in(X263,X262)
| element(X263,X262)
| empty(X262) )
& ( ~ element(X263,X262)
| empty(X263)
| ~ empty(X262) )
& ( ~ empty(X263)
| element(X263,X262)
| ~ empty(X262) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_138])])]) ).
cnf(i_0_232,plain,
set_intersection2(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_139]) ).
fof(i_0_233,lemma,
! [X433,X434] : subset(set_difference(X433,X434),X433),
inference(variable_rename,[status(thm)],[t36_xboole_1]) ).
fof(i_0_234,lemma,
! [X482,X483] : subset(X482,set_union2(X482,X483)),
inference(variable_rename,[status(thm)],[t7_xboole_1]) ).
fof(i_0_235,plain,
! [X338,X339] :
( ( subset(X338,X339)
| ~ proper_subset(X338,X339) )
& ( X338 != X339
| ~ proper_subset(X338,X339) )
& ( ~ subset(X338,X339)
| X338 = X339
| proper_subset(X338,X339) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_xboole_0])])]) ).
fof(i_0_236,lemma,
! [X484,X485] :
( ( ~ disjoint(X484,X485)
| set_difference(X484,X485) = X484 )
& ( set_difference(X484,X485) != X484
| disjoint(X484,X485) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t83_xboole_1])]) ).
fof(i_0_237,lemma,
! [X399,X400] :
( ~ subset(X399,X400)
| set_union2(X399,X400) = X400 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_xboole_1])]) ).
cnf(i_0_238,plain,
set_intersection2(X1,empty_set) = empty_set,
inference(split_conjunct,[status(thm)],[i_0_140]) ).
fof(i_0_239,plain,
! [X382,X383] :
( ~ disjoint(X382,X383)
| disjoint(X383,X382) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r1_xboole_0])]) ).
fof(i_0_240,lemma,
! [X435,X436] :
( ( set_difference(X435,X436) != empty_set
| subset(X435,X436) )
& ( ~ subset(X435,X436)
| set_difference(X435,X436) = empty_set ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_xboole_1])]) ).
fof(i_0_241,lemma,
! [X361,X362] :
( ( set_difference(X361,X362) != empty_set
| subset(X361,X362) )
& ( ~ subset(X361,X362)
| set_difference(X361,X362) = empty_set ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l32_xboole_1])]) ).
fof(i_0_242,plain,
! [X377] :
( ( element(esk21_1(X377),powerset(X377))
| empty(X377) )
& ( ~ empty(esk21_1(X377))
| empty(X377) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_141])])])]) ).
fof(i_0_243,plain,
! [X480,X481] :
( ~ in(X480,X481)
| ~ empty(X481) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_244,plain,
! [X238,X239] : set_union2(X238,X239) = set_union2(X239,X238),
inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0]) ).
fof(i_0_245,plain,
! [X236,X237] : unordered_pair(X236,X237) = unordered_pair(X237,X236),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(i_0_246,plain,
! [X251,X252,X253] :
( ( X251 != empty_set
| ~ in(X252,X251) )
& ( in(esk2_1(X253),X253)
| X253 = 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_142])])])])]) ).
fof(i_0_247,plain,
! [X351] : ~ proper_subset(X351,X351),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[i_0_143])]) ).
cnf(i_0_248,lemma,
singleton(X1) != empty_set,
inference(split_conjunct,[status(thm)],[i_0_144]) ).
fof(i_0_249,lemma,
! [X453] :
( ~ subset(X453,empty_set)
| X453 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_xboole_1])]) ).
fof(i_0_250,plain,
! [X340] : element(esk17_1(X340),X340),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_251,negated_conjecture,
( element(esk19_0,powerset(esk18_0))
& in(esk20_0,esk19_0)
& ~ in(esk20_0,esk18_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_145])])]) ).
fof(i_0_252,plain,
! [X342] : ~ empty(powerset(X342)),
inference(variable_rename,[status(thm)],[i_0_146]) ).
fof(i_0_253,plain,
! [X486,X487] :
( ~ empty(X486)
| X486 = X487
| ~ empty(X487) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_254,plain,
! [X349] : set_union2(X349,X349) = X349,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k2_xboole_0])]) ).
fof(i_0_255,plain,
! [X381] : subset(X381,X381),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(i_0_256,lemma,
powerset(empty_set) = singleton(empty_set),
inference(split_conjunct,[status(thm)],[t1_zfmisc_1]) ).
fof(i_0_257,plain,
! [X446] : set_difference(X446,empty_set) = X446,
inference(variable_rename,[status(thm)],[t3_boole]) ).
fof(i_0_258,plain,
! [X412] : set_union2(X412,empty_set) = X412,
inference(variable_rename,[status(thm)],[t1_boole]) ).
fof(i_0_259,lemma,
! [X425] : subset(empty_set,X425),
inference(variable_rename,[status(thm)],[t2_xboole_1]) ).
fof(i_0_260,plain,
! [X462] : set_difference(empty_set,X462) = empty_set,
inference(variable_rename,[status(thm)],[t4_boole]) ).
fof(i_0_261,lemma,
! [X496] : union(powerset(X496)) = X496,
inference(variable_rename,[status(thm)],[t99_zfmisc_1]) ).
fof(i_0_262,plain,
! [X477] :
( ~ empty(X477)
| X477 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_263,plain,
~ empty(esk23_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_147])]) ).
fof(i_0_264,plain,
empty(esk22_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_265,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_148,c_0_149]),
[final] ).
cnf(i_0_266,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_150,c_0_149]),
[final] ).
cnf(i_0_267,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_151,c_0_152]),
[final] ).
cnf(i_0_268,plain,
( in(esk7_4(X1,X2,X3,X4),X2)
| ~ in(X4,X3)
| X3 != cartesian_product2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_269,plain,
( in(esk6_4(X1,X2,X3,X4),X1)
| ~ in(X4,X3)
| X3 != cartesian_product2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_270,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_153]),
[final] ).
cnf(i_0_271,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_154,c_0_149]),
[final] ).
cnf(i_0_272,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_155]),
[final] ).
cnf(i_0_273,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_155]),
[final] ).
cnf(i_0_274,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_155]),
[final] ).
cnf(i_0_275,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_153]),
[final] ).
cnf(i_0_276,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_156]),
[final] ).
cnf(i_0_277,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_156]),
[final] ).
cnf(i_0_278,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_157,c_0_152]),
[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) ),
inference(rw,[status(thm)],[i_0_158,c_0_152]),
[final] ).
cnf(i_0_280,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_159,c_0_149]),
[final] ).
cnf(i_0_281,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_160,c_0_149]),
[final] ).
cnf(i_0_282,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_161,c_0_149]),
[final] ).
cnf(i_0_283,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_162,c_0_149]),
[final] ).
cnf(i_0_284,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_153]),
[final] ).
cnf(i_0_285,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_100]),
[final] ).
cnf(i_0_286,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_100]),
[final] ).
cnf(i_0_287,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_156]),
[final] ).
cnf(i_0_288,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_163,c_0_149]),
[final] ).
cnf(i_0_289,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_164,c_0_149]),
[final] ).
cnf(i_0_290,plain,
~ empty(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))),
inference(rw,[status(thm)],[i_0_165,c_0_149]),
[final] ).
cnf(i_0_291,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_166,c_0_149]),c_0_149]),
[final] ).
cnf(i_0_292,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_167,c_0_149]),c_0_149]),
[final] ).
cnf(i_0_293,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_168,c_0_152]),c_0_152]),
[final] ).
cnf(i_0_294,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_169,c_0_149]),
[final] ).
cnf(i_0_295,lemma,
( ~ disjoint(X2,X3)
| ~ in(X1,set_difference(X2,set_difference(X2,X3))) ),
inference(rw,[status(thm)],[i_0_170,c_0_152]),
[final] ).
cnf(i_0_296,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_171]),
[final] ).
cnf(i_0_297,plain,
( in(esk13_3(X1,X2,X3),X1)
| ~ in(X3,X2)
| X2 != union(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_298,plain,
( in(X1,esk13_3(X2,X3,X1))
| ~ in(X1,X3)
| X3 != union(X2) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_299,lemma,
( subset(X1,set_difference(X2,set_difference(X2,X3)))
| ~ subset(X1,X3)
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[i_0_172,c_0_152]),
[final] ).
cnf(i_0_300,lemma,
( disjoint(X1,X2)
| in(esk27_2(X1,X2),set_difference(X1,set_difference(X1,X2))) ),
inference(rw,[status(thm)],[i_0_173,c_0_152]),
[final] ).
cnf(i_0_301,plain,
( X2 = powerset(X1)
| ~ in(esk3_2(X1,X2),X2)
| ~ subset(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[i_0_174]),
[final] ).
cnf(i_0_302,lemma,
( in(X3,X1)
| subset(X1,set_difference(X2,unordered_pair(X3,X3)))
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[i_0_175,c_0_102]),
[final] ).
cnf(i_0_303,plain,
( X1 = X2
| ~ in(esk25_2(X1,X2),X1)
| ~ in(esk25_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_176]),
[final] ).
cnf(i_0_304,plain,
( in(X1,X4)
| X4 != set_difference(X2,set_difference(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_177,c_0_152]),
[final] ).
cnf(i_0_305,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_171]),
[final] ).
cnf(i_0_306,lemma,
( subset(cartesian_product2(X1,X3),cartesian_product2(X2,X4))
| ~ subset(X1,X2)
| ~ subset(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_178]),
[final] ).
cnf(i_0_307,lemma,
( X1 = X2
| ~ subset(unordered_pair(X1,X1),unordered_pair(X2,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_179,c_0_102]),c_0_102]),
[final] ).
cnf(i_0_308,plain,
( X2 = unordered_pair(X1,X1)
| esk1_2(X1,X2) != X1
| ~ in(esk1_2(X1,X2),X2) ),
inference(rw,[status(thm)],[i_0_180,c_0_102]),
[final] ).
cnf(i_0_309,plain,
( in(X1,X2)
| X3 != set_difference(X2,set_difference(X2,X4))
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[i_0_181,c_0_152]),
[final] ).
cnf(i_0_310,plain,
( in(X1,X2)
| X3 != set_difference(X4,set_difference(X4,X2))
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[i_0_182,c_0_152]),
[final] ).
cnf(i_0_311,plain,
( in(X1,esk29_2(X3,X2))
| ~ subset(X1,X2)
| ~ in(X2,esk28_1(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_312,lemma,
subset(set_difference(X1,set_difference(X1,X2)),X1),
inference(rw,[status(thm)],[i_0_184,c_0_152]),
[final] ).
cnf(i_0_313,lemma,
( subset(set_difference(X1,X3),set_difference(X2,X3))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_314,lemma,
( subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))
| ~ subset(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_186]),
[final] ).
cnf(i_0_315,lemma,
( subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))
| ~ subset(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_186]),
[final] ).
cnf(i_0_316,lemma,
( set_difference(X1,unordered_pair(X2,X2)) != X1
| ~ in(X2,X1) ),
inference(rw,[status(thm)],[i_0_187,c_0_102]),
[final] ).
cnf(i_0_317,lemma,
( ~ in(X1,X2)
| ~ disjoint(unordered_pair(X1,X1),X2) ),
inference(rw,[status(thm)],[i_0_188,c_0_102]),
[final] ).
cnf(i_0_318,plain,
( in(esk15_2(X1,X2),X1)
| in(esk14_2(X1,X2),X2)
| X2 = union(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_319,plain,
( in(esk3_2(X1,X2),X2)
| subset(esk3_2(X1,X2),X1)
| X2 = powerset(X1) ),
inference(split_conjunct,[status(thm)],[i_0_174]),
[final] ).
cnf(i_0_320,lemma,
( subset(set_union2(X1,X3),X2)
| ~ subset(X1,X2)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_189]),
[final] ).
cnf(i_0_321,lemma,
( subset(unordered_pair(X1,X3),X2)
| ~ in(X1,X2)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_190]),
[final] ).
cnf(i_0_322,plain,
( in(esk25_2(X1,X2),X1)
| in(esk25_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[i_0_176]),
[final] ).
cnf(i_0_323,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_191,c_0_102]),c_0_102]),
[final] ).
cnf(i_0_324,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_192,c_0_102]),c_0_102]),
[final] ).
cnf(i_0_325,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_193,c_0_152]),c_0_152]),
[final] ).
cnf(i_0_326,plain,
( in(esk29_2(X1,X2),esk28_1(X1))
| ~ in(X2,esk28_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_327,plain,
( subset(X1,X2)
| ~ in(esk11_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_194]),
[final] ).
cnf(i_0_328,lemma,
( in(X1,X2)
| ~ subset(unordered_pair(X1,X1),X2) ),
inference(rw,[status(thm)],[i_0_195,c_0_102]),
[final] ).
cnf(i_0_329,lemma,
( in(X1,X2)
| ~ subset(unordered_pair(X1,X1),X2) ),
inference(rw,[status(thm)],[i_0_196,c_0_102]),
[final] ).
cnf(i_0_330,lemma,
( in(X1,X2)
| ~ subset(unordered_pair(X1,X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_190]),
[final] ).
cnf(i_0_331,lemma,
( in(X1,X2)
| ~ subset(unordered_pair(X3,X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_190]),
[final] ).
cnf(i_0_332,plain,
( disjoint(X1,X2)
| set_difference(X1,set_difference(X1,X2)) != empty_set ),
inference(rw,[status(thm)],[i_0_197,c_0_152]),
[final] ).
cnf(i_0_333,plain,
( in(X1,X3)
| in(X1,X4)
| ~ in(X1,X2)
| X2 != set_union2(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_334,plain,
( in(X1,X3)
| in(X1,X4)
| ~ in(X1,X2)
| X4 != set_difference(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_335,plain,
( in(X3,esk28_1(X2))
| ~ in(X1,esk28_1(X2))
| ~ subset(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_336,lemma,
( in(X3,esk24_1(X2))
| ~ in(X1,esk24_1(X2))
| ~ subset(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_198]),
[final] ).
cnf(i_0_337,plain,
( are_equipotent(X1,esk28_1(X2))
| in(X1,esk28_1(X2))
| ~ subset(X1,esk28_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_338,lemma,
( are_equipotent(X1,esk24_1(X2))
| in(X1,esk24_1(X2))
| ~ subset(X1,esk24_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_198]),
[final] ).
cnf(i_0_339,plain,
( X2 = unordered_pair(X1,X1)
| esk1_2(X1,X2) = X1
| in(esk1_2(X1,X2),X2) ),
inference(rw,[status(thm)],[i_0_199,c_0_102]),
[final] ).
cnf(i_0_340,plain,
( ~ in(X1,X2)
| ~ in(X1,X3)
| X3 != set_difference(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_341,plain,
( in(X1,X4)
| ~ in(X1,X2)
| ~ in(X2,X3)
| X4 != union(X3) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_342,lemma,
( ~ in(X1,X2)
| ~ in(X1,X3)
| ~ disjoint(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_200]),
[final] ).
cnf(i_0_343,lemma,
( subset(X1,unordered_pair(X2,X2))
| X1 != unordered_pair(X2,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_201,c_0_102]),c_0_102]),
[final] ).
cnf(i_0_344,lemma,
( subset(X1,unordered_pair(X2,X2))
| X1 != unordered_pair(X2,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_202,c_0_102]),c_0_102]),
[final] ).
cnf(i_0_345,lemma,
( set_union2(unordered_pair(X1,X1),X2) = X2
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_203,c_0_102]),
[final] ).
cnf(i_0_346,lemma,
( set_union2(unordered_pair(X1,X1),X2) = X2
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_204,c_0_102]),
[final] ).
cnf(i_0_347,lemma,
( set_difference(X1,set_difference(X1,X2)) = X1
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[i_0_205,c_0_152]),
[final] ).
cnf(i_0_348,lemma,
( X2 = set_union2(X1,set_difference(X2,X1))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_206]),
[final] ).
cnf(i_0_349,lemma,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_207,c_0_102]),
[final] ).
cnf(i_0_350,lemma,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_208,c_0_102]),
[final] ).
cnf(i_0_351,plain,
( set_difference(X1,set_difference(X1,X2)) = empty_set
| ~ disjoint(X1,X2) ),
inference(rw,[status(thm)],[i_0_209,c_0_152]),
[final] ).
cnf(i_0_352,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_difference(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_353,plain,
( in(X1,X3)
| ~ in(X1,X2)
| X3 != set_union2(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_354,plain,
( in(X1,X3)
| ~ in(X1,X2)
| X3 != set_union2(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_355,lemma,
( disjoint(X1,X3)
| ~ subset(X1,X2)
| ~ disjoint(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_210]),
[final] ).
cnf(i_0_356,lemma,
( subset(X1,X3)
| ~ subset(X1,X2)
| ~ subset(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_211]),
[final] ).
cnf(i_0_357,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_194]),
[final] ).
cnf(i_0_358,lemma,
( in(powerset(X1),esk24_1(X2))
| ~ in(X1,esk24_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_198]),
[final] ).
cnf(i_0_359,lemma,
( set_difference(X2,unordered_pair(X1,X1)) = X2
| in(X1,X2) ),
inference(rw,[status(thm)],[i_0_212,c_0_102]),
[final] ).
cnf(i_0_360,lemma,
( in(esk26_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_200]),
[final] ).
cnf(i_0_361,lemma,
( in(esk26_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_200]),
[final] ).
cnf(i_0_362,plain,
( in(esk11_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_194]),
[final] ).
cnf(i_0_363,lemma,
( in(X1,X2)
| disjoint(unordered_pair(X1,X1),X2) ),
inference(rw,[status(thm)],[i_0_213,c_0_102]),
[final] ).
cnf(i_0_364,lemma,
set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_214]),
[final] ).
cnf(i_0_365,lemma,
set_union2(X1,set_difference(X2,X1)) = set_union2(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_215]),
[final] ).
cnf(i_0_366,plain,
( empty(X1)
| ~ empty(set_union2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_216]),
[final] ).
cnf(i_0_367,plain,
( empty(X1)
| ~ empty(set_union2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_217]),
[final] ).
cnf(i_0_368,plain,
( X1 = X3
| X1 = X4
| ~ in(X1,X2)
| X2 != unordered_pair(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_369,plain,
( X1 = X3
| X2 != unordered_pair(X3,X3)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_218,c_0_102]),
[final] ).
cnf(i_0_370,lemma,
( X1 = X3
| X1 = X4
| unordered_pair(X1,X2) != unordered_pair(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_219]),
[final] ).
cnf(i_0_371,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_220]),
[final] ).
cnf(i_0_372,lemma,
( X1 = X2
| unordered_pair(X1,X1) != unordered_pair(X2,X3) ),
inference(rw,[status(thm)],[i_0_221,c_0_102]),
[final] ).
cnf(i_0_373,lemma,
( X2 = X3
| unordered_pair(X1,X1) != unordered_pair(X2,X3) ),
inference(rw,[status(thm)],[i_0_222,c_0_102]),
[final] ).
cnf(i_0_374,plain,
( subset(X1,X3)
| ~ in(X1,X2)
| X2 != powerset(X3) ),
inference(split_conjunct,[status(thm)],[i_0_174]),
[final] ).
cnf(i_0_375,plain,
( in(X1,X3)
| ~ subset(X1,X2)
| X3 != powerset(X2) ),
inference(split_conjunct,[status(thm)],[i_0_174]),
[final] ).
cnf(i_0_376,lemma,
( ~ subset(X1,X2)
| ~ proper_subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_223]),
[final] ).
cnf(i_0_377,plain,
( ~ proper_subset(X1,X2)
| ~ proper_subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_224]),
[final] ).
cnf(i_0_378,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_225]),
[final] ).
cnf(i_0_379,lemma,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_226]),
[final] ).
cnf(i_0_380,lemma,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_227]),
[final] ).
cnf(i_0_381,lemma,
( subset(X1,unordered_pair(X2,X2))
| X1 != empty_set ),
inference(rw,[status(thm)],[i_0_228,c_0_102]),
[final] ).
cnf(i_0_382,lemma,
( subset(X1,unordered_pair(X2,X2))
| X1 != empty_set ),
inference(rw,[status(thm)],[i_0_229,c_0_102]),
[final] ).
cnf(i_0_383,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X2,X2) ),
inference(rw,[status(thm)],[i_0_230,c_0_102]),
[final] ).
cnf(i_0_384,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_385,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_386,plain,
( element(X1,X2)
| empty(X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_231]),
[final] ).
cnf(i_0_387,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_231]),
[final] ).
cnf(i_0_388,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rw,[status(thm)],[i_0_232,c_0_152]),
[final] ).
cnf(i_0_389,lemma,
subset(set_difference(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_233]),
[final] ).
cnf(i_0_390,lemma,
subset(X1,set_union2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_234]),
[final] ).
cnf(i_0_391,plain,
( X1 = X2
| proper_subset(X1,X2)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_235]),
[final] ).
cnf(i_0_392,lemma,
( disjoint(X1,X2)
| set_difference(X1,X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_236]),
[final] ).
cnf(i_0_393,lemma,
( set_difference(X1,X2) = X1
| ~ disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_236]),
[final] ).
cnf(i_0_394,lemma,
( set_union2(X1,X2) = X2
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_237]),
[final] ).
cnf(i_0_395,plain,
set_difference(X1,set_difference(X1,empty_set)) = empty_set,
inference(rw,[status(thm)],[i_0_238,c_0_152]),
[final] ).
cnf(i_0_396,plain,
( disjoint(X2,X1)
| ~ disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_239]),
[final] ).
cnf(i_0_397,plain,
( subset(X1,X2)
| ~ proper_subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_235]),
[final] ).
cnf(i_0_398,lemma,
( subset(X1,X2)
| set_difference(X1,X2) != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_240]),
[final] ).
cnf(i_0_399,lemma,
( subset(X1,X2)
| set_difference(X1,X2) != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_241]),
[final] ).
cnf(i_0_400,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_240]),
[final] ).
cnf(i_0_401,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_241]),
[final] ).
cnf(i_0_402,plain,
( empty(X1)
| ~ element(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_231]),
[final] ).
cnf(i_0_403,plain,
( element(esk21_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_242]),
[final] ).
cnf(i_0_404,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_243]),
[final] ).
cnf(i_0_405,plain,
( element(X1,X2)
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_231]),
[final] ).
cnf(i_0_406,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_244]),
[final] ).
cnf(i_0_407,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_245]),
[final] ).
cnf(i_0_408,plain,
( X1 != X2
| ~ proper_subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_235]),
[final] ).
cnf(i_0_409,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_246]),
[final] ).
cnf(i_0_410,plain,
~ proper_subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_247]),
[final] ).
cnf(i_0_411,lemma,
unordered_pair(X1,X1) != empty_set,
inference(rw,[status(thm)],[i_0_248,c_0_102]),
[final] ).
cnf(i_0_412,plain,
( in(esk2_1(X1),X1)
| X1 = empty_set ),
inference(split_conjunct,[status(thm)],[i_0_246]),
[final] ).
cnf(i_0_413,lemma,
( X1 = empty_set
| ~ subset(X1,empty_set) ),
inference(split_conjunct,[status(thm)],[i_0_249]),
[final] ).
cnf(i_0_414,plain,
( empty(X1)
| ~ empty(esk21_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_242]),
[final] ).
cnf(i_0_415,plain,
element(esk17_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_250]),
[final] ).
cnf(i_0_416,plain,
in(X1,esk28_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_417,lemma,
in(X1,esk24_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_198]),
[final] ).
cnf(i_0_418,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_220]),
[final] ).
cnf(i_0_419,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_220]),
[final] ).
cnf(i_0_420,negated_conjecture,
~ in(esk20_0,esk18_0),
inference(split_conjunct,[status(thm)],[i_0_251]),
[final] ).
cnf(i_0_421,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_252]),
[final] ).
cnf(i_0_422,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_253]),
[final] ).
cnf(i_0_423,negated_conjecture,
element(esk19_0,powerset(esk18_0)),
inference(split_conjunct,[status(thm)],[i_0_251]),
[final] ).
cnf(i_0_424,plain,
set_union2(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_254]),
[final] ).
cnf(i_0_425,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_255]),
[final] ).
cnf(i_0_426,lemma,
powerset(empty_set) = unordered_pair(empty_set,empty_set),
inference(rw,[status(thm)],[i_0_256,c_0_102]),
[final] ).
cnf(i_0_427,plain,
set_difference(X1,empty_set) = X1,
inference(split_conjunct,[status(thm)],[i_0_257]),
[final] ).
cnf(i_0_428,plain,
set_union2(X1,empty_set) = X1,
inference(split_conjunct,[status(thm)],[i_0_258]),
[final] ).
cnf(i_0_429,lemma,
subset(empty_set,X1),
inference(split_conjunct,[status(thm)],[i_0_259]),
[final] ).
cnf(i_0_430,plain,
set_difference(empty_set,X1) = empty_set,
inference(split_conjunct,[status(thm)],[i_0_260]),
[final] ).
cnf(i_0_431,negated_conjecture,
in(esk20_0,esk19_0),
inference(split_conjunct,[status(thm)],[i_0_251]),
[final] ).
cnf(i_0_432,lemma,
union(powerset(X1)) = X1,
inference(split_conjunct,[status(thm)],[i_0_261]),
[final] ).
cnf(i_0_433,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_262]),
[final] ).
cnf(i_0_434,plain,
~ empty(esk23_0),
inference(split_conjunct,[status(thm)],[i_0_263]),
[final] ).
cnf(i_0_435,plain,
empty(esk22_0),
inference(split_conjunct,[status(thm)],[i_0_264]),
[final] ).
cnf(i_0_436,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_437,axiom,
X1 = X1 ).
cnf(i_0_438,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_439,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_440,axiom,
( X1 != X2
| unordered_pair(X1,X3) = unordered_pair(X2,X3) ) ).
cnf(i_0_441,axiom,
( X1 != X2
| unordered_pair(X3,X1) = unordered_pair(X3,X2) ) ).
cnf(i_0_442,axiom,
( X1 != X2
| set_union2(X1,X3) = set_union2(X2,X3) ) ).
cnf(i_0_443,axiom,
( X1 != X2
| set_union2(X3,X1) = set_union2(X3,X2) ) ).
cnf(i_0_444,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_445,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_446,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_447,axiom,
( X1 != X2
| union(X1) = union(X2) ) ).
cnf(i_0_448,axiom,
( X1 != X2
| powerset(X1) = powerset(X2) ) ).
cnf(i_0_449,axiom,
( X1 != X2
| esk1_2(X1,X3) = esk1_2(X2,X3) ) ).
cnf(i_0_450,axiom,
( X1 != X2
| esk1_2(X3,X1) = esk1_2(X3,X2) ) ).
cnf(i_0_451,axiom,
( X1 != X2
| cartesian_product2(X1,X3) = cartesian_product2(X2,X3) ) ).
cnf(i_0_452,axiom,
( X1 != X2
| cartesian_product2(X3,X1) = cartesian_product2(X3,X2) ) ).
cnf(i_0_453,axiom,
( X1 != X2
| esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).
cnf(i_0_454,axiom,
( X1 != X2
| esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).
cnf(i_0_455,axiom,
( X1 != X2
| esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).
cnf(i_0_456,axiom,
( X1 != X2
| set_difference(X1,X3) = set_difference(X2,X3) ) ).
cnf(i_0_457,axiom,
( X1 != X2
| set_difference(X3,X1) = set_difference(X3,X2) ) ).
cnf(i_0_458,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_459,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_460,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_461,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_462,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_463,axiom,
( X1 != X2
| ~ disjoint(X1,X3)
| disjoint(X2,X3) ) ).
cnf(i_0_464,axiom,
( X1 != X2
| ~ disjoint(X3,X1)
| disjoint(X3,X2) ) ).
cnf(i_0_465,axiom,
( X1 != X2
| ~ are_equipotent(X1,X3)
| are_equipotent(X2,X3) ) ).
cnf(i_0_466,axiom,
( X1 != X2
| ~ are_equipotent(X3,X1)
| are_equipotent(X3,X2) ) ).
cnf(i_0_467,axiom,
( X1 != X2
| ~ proper_subset(X1,X3)
| proper_subset(X2,X3) ) ).
cnf(i_0_468,axiom,
( X1 != X2
| ~ proper_subset(X3,X1)
| proper_subset(X3,X2) ) ).
cnf(i_0_469,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_470,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_437_001,axiom,
X1 = X1 ).
cnf(i_0_438_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_439_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_440_004,axiom,
( X1 != X2
| unordered_pair(X1,X3) = unordered_pair(X2,X3) ) ).
cnf(i_0_441_005,axiom,
( X1 != X2
| unordered_pair(X3,X1) = unordered_pair(X3,X2) ) ).
cnf(i_0_442_006,axiom,
( X1 != X2
| set_union2(X1,X3) = set_union2(X2,X3) ) ).
cnf(i_0_443_007,axiom,
( X1 != X2
| set_union2(X3,X1) = set_union2(X3,X2) ) ).
cnf(i_0_444_008,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_445_009,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_446_010,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_447_011,axiom,
( X1 != X2
| union(X1) = union(X2) ) ).
cnf(i_0_448_012,axiom,
( X1 != X2
| powerset(X1) = powerset(X2) ) ).
cnf(i_0_449_013,axiom,
( X1 != X2
| esk1_2(X1,X3) = esk1_2(X2,X3) ) ).
cnf(i_0_450_014,axiom,
( X1 != X2
| esk1_2(X3,X1) = esk1_2(X3,X2) ) ).
cnf(i_0_451_015,axiom,
( X1 != X2
| cartesian_product2(X1,X3) = cartesian_product2(X2,X3) ) ).
cnf(i_0_452_016,axiom,
( X1 != X2
| cartesian_product2(X3,X1) = cartesian_product2(X3,X2) ) ).
cnf(i_0_453_017,axiom,
( X1 != X2
| esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).
cnf(i_0_454_018,axiom,
( X1 != X2
| esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).
cnf(i_0_455_019,axiom,
( X1 != X2
| esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).
cnf(i_0_456_020,axiom,
( X1 != X2
| set_difference(X1,X3) = set_difference(X2,X3) ) ).
cnf(i_0_457_021,axiom,
( X1 != X2
| set_difference(X3,X1) = set_difference(X3,X2) ) ).
cnf(i_0_458_022,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_459_023,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_460_024,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_461_025,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_462_026,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_463_027,axiom,
( X1 != X2
| ~ disjoint(X1,X3)
| disjoint(X2,X3) ) ).
cnf(i_0_464_028,axiom,
( X1 != X2
| ~ disjoint(X3,X1)
| disjoint(X3,X2) ) ).
cnf(i_0_465_029,axiom,
( X1 != X2
| ~ are_equipotent(X1,X3)
| are_equipotent(X2,X3) ) ).
cnf(i_0_466_030,axiom,
( X1 != X2
| ~ are_equipotent(X3,X1)
| are_equipotent(X3,X2) ) ).
cnf(i_0_467_031,axiom,
( X1 != X2
| ~ proper_subset(X1,X3)
| proper_subset(X2,X3) ) ).
cnf(i_0_468_032,axiom,
( X1 != X2
| ~ proper_subset(X3,X1)
| proper_subset(X3,X2) ) ).
cnf(i_0_469_033,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_470_034,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_471,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,[],[265]) ).
cnf(i_0_472,plain,
( ~ in(X1,cartesian_product2(X2,X3))
| in(esk7_4(X2,X3,cartesian_product2(X2,X3),X1),X3) ),
inference(equality_inference,[],[268]) ).
cnf(i_0_473,plain,
( ~ in(X1,cartesian_product2(X2,X3))
| in(esk6_4(X2,X3,cartesian_product2(X2,X3),X1),X2) ),
inference(equality_inference,[],[269]) ).
cnf(i_0_474,plain,
X1 = X1,
inference(equality_inference,[],[291]) ).
cnf(i_0_475,plain,
X1 = X1,
inference(equality_inference,[],[292]) ).
cnf(i_0_476,plain,
( ~ in(X1,union(X2))
| in(esk13_3(X2,union(X2),X1),X2) ),
inference(equality_inference,[],[297]) ).
cnf(i_0_477,plain,
( ~ in(X1,union(X2))
| in(X1,esk13_3(X2,union(X2),X1)) ),
inference(equality_inference,[],[298]) ).
cnf(i_0_478,plain,
( ~ in(X1,X2)
| ~ in(X1,X3)
| in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(equality_inference,[],[304]) ).
cnf(i_0_479,plain,
( ~ in(X1,set_difference(X2,set_difference(X2,X3)))
| in(X1,X3) ),
inference(equality_inference,[],[310]) ).
cnf(i_0_480,plain,
( in(X1,X2)
| in(X1,X3)
| ~ in(X1,set_union2(X2,X3)) ),
inference(equality_inference,[],[333]) ).
cnf(i_0_481,plain,
( in(X1,X2)
| in(X1,set_difference(X3,X2))
| ~ in(X1,X3) ),
inference(equality_inference,[],[334]) ).
cnf(i_0_482,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(equality_inference,[],[340]) ).
cnf(i_0_483,plain,
( in(X1,union(X2))
| ~ in(X1,X3)
| ~ in(X3,X2) ),
inference(equality_inference,[],[341]) ).
cnf(i_0_484,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(equality_inference,[],[352]) ).
cnf(i_0_485,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X2) ),
inference(equality_inference,[],[353]) ).
cnf(i_0_486,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X3) ),
inference(equality_inference,[],[354]) ).
cnf(i_0_487,plain,
( X1 = X2
| X1 = X3
| ~ in(X1,unordered_pair(X2,X3)) ),
inference(equality_inference,[],[368]) ).
cnf(i_0_488,plain,
( ~ in(X1,unordered_pair(X2,X2))
| X1 = X2 ),
inference(equality_inference,[],[369]) ).
cnf(i_0_489,plain,
( X1 = X1
| X1 = X2 ),
inference(equality_inference,[],[370]) ).
cnf(i_0_490,plain,
X1 = X1,
inference(equality_inference,[],[372]) ).
cnf(i_0_491,plain,
X1 = X1,
inference(equality_inference,[],[373]) ).
cnf(i_0_492,plain,
( subset(X1,X2)
| ~ in(X1,powerset(X2)) ),
inference(equality_inference,[],[374]) ).
cnf(i_0_493,plain,
( in(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(equality_inference,[],[375]) ).
cnf(i_0_494,plain,
subset(empty_set,unordered_pair(X1,X1)),
inference(equality_inference,[],[382]) ).
cnf(i_0_495,plain,
~ proper_subset(X1,X1),
inference(equality_inference,[],[408]) ).
cnf(i_0_496,plain,
~ in(X1,empty_set),
inference(equality_inference,[],[409]) ).
cnf(i_0_497,plain,
subset(X1,X1),
inference(equality_inference,[],[418]) ).
cnf(i_0_498,plain,
subset(X1,X1),
inference(equality_inference,[],[419]) ).
cnf(i_0_499,plain,
in(X1,unordered_pair(X1,X2)),
inference(scs_inference,[],[i_0_425,i_0_330]) ).
cnf(i_0_500,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_425]) ).
cnf(i_0_501,plain,
( ~ subset(unordered_pair(X1,X2),X3)
| in(X1,X3) ),
inference(rename_variables,[],[i_0_330]) ).
cnf(i_0_502,plain,
in(X1,unordered_pair(X2,X1)),
inference(scs_inference,[],[i_0_425,i_0_500,i_0_330,i_0_331]) ).
cnf(i_0_503,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_425]) ).
cnf(i_0_504,plain,
( ~ subset(unordered_pair(X1,X2),X3)
| in(X2,X3) ),
inference(rename_variables,[],[i_0_331]) ).
cnf(i_0_505,plain,
~ in(esk19_0,esk20_0),
inference(scs_inference,[],[i_0_431,i_0_425,i_0_500,i_0_330,i_0_331,i_0_378]) ).
cnf(i_0_506,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_378]) ).
cnf(i_0_507,plain,
~ in(X1,esk22_0),
inference(scs_inference,[],[i_0_431,i_0_425,i_0_500,i_0_435,i_0_330,i_0_331,i_0_378,i_0_404]) ).
cnf(i_0_508,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_404]) ).
cnf(i_0_509,plain,
~ in(X1,set_difference(empty_set,set_difference(empty_set,empty_set))),
inference(scs_inference,[],[i_0_431,i_0_388,i_0_425,i_0_500,i_0_435,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409]) ).
cnf(i_0_510,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_511,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_409]) ).
cnf(i_0_512,plain,
~ in(X1,cartesian_product2(X2,empty_set)),
inference(scs_inference,[],[i_0_431,i_0_496,i_0_388,i_0_425,i_0_500,i_0_435,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472]) ).
cnf(i_0_513,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_514,plain,
( in(esk7_4(X1,X2,cartesian_product2(X1,X2),X3),X2)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(rename_variables,[],[i_0_472]) ).
cnf(i_0_515,plain,
~ in(X1,cartesian_product2(empty_set,X2)),
inference(scs_inference,[],[i_0_431,i_0_496,i_0_513,i_0_388,i_0_425,i_0_500,i_0_435,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473]) ).
cnf(i_0_516,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_517,plain,
( in(esk6_4(X1,X2,cartesian_product2(X1,X2),X3),X1)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(rename_variables,[],[i_0_473]) ).
cnf(i_0_518,plain,
~ in(X1,union(empty_set)),
inference(scs_inference,[],[i_0_431,i_0_496,i_0_513,i_0_516,i_0_388,i_0_425,i_0_500,i_0_435,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476]) ).
cnf(i_0_519,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_520,plain,
( in(esk13_3(X1,union(X1),X2),X1)
| ~ in(X2,union(X1)) ),
inference(rename_variables,[],[i_0_476]) ).
cnf(i_0_521,plain,
~ in(esk20_0,set_difference(X1,set_difference(X1,esk18_0))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_388,i_0_425,i_0_500,i_0_435,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479]) ).
cnf(i_0_522,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_479]) ).
cnf(i_0_523,plain,
~ in(esk20_0,set_difference(X1,esk19_0)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_388,i_0_425,i_0_500,i_0_435,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482]) ).
cnf(i_0_524,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_482]) ).
cnf(i_0_525,plain,
~ in(esk20_0,set_difference(esk18_0,X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_388,i_0_425,i_0_500,i_0_435,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484]) ).
cnf(i_0_526,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_484]) ).
cnf(i_0_527,plain,
in(esk20_0,set_union2(esk19_0,X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_388,i_0_425,i_0_500,i_0_435,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485]) ).
cnf(i_0_528,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_485]) ).
cnf(i_0_529,plain,
in(esk20_0,set_union2(X1,esk19_0)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_388,i_0_425,i_0_500,i_0_435,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486]) ).
cnf(i_0_530,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_486]) ).
cnf(i_0_531,plain,
~ in(unordered_pair(X1,X1),unordered_pair(empty_set,empty_set)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_388,i_0_425,i_0_500,i_0_435,i_0_411,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488]) ).
cnf(i_0_532,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_488]) ).
cnf(i_0_533,plain,
in(X1,powerset(X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_388,i_0_425,i_0_500,i_0_503,i_0_435,i_0_411,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493]) ).
cnf(i_0_534,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_493]) ).
cnf(i_0_535,plain,
disjoint(empty_set,empty_set),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_388,i_0_425,i_0_500,i_0_503,i_0_435,i_0_411,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300]) ).
cnf(i_0_536,plain,
( in(esk27_2(X1,X2),set_difference(X1,set_difference(X1,X2)))
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_537,plain,
in(esk29_2(X1,X1),esk28_1(X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_388,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326]) ).
cnf(i_0_538,plain,
( ~ in(X1,esk28_1(X2))
| in(esk29_2(X2,X1),esk28_1(X2)) ),
inference(rename_variables,[],[i_0_326]) ).
cnf(i_0_539,plain,
disjoint(empty_set,X1),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_388,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332]) ).
cnf(i_0_540,plain,
set_difference(empty_set,X1) = empty_set,
inference(rename_variables,[],[i_0_430]) ).
cnf(i_0_541,plain,
( set_difference(X1,set_difference(X1,X2)) != empty_set
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_332]) ).
cnf(i_0_542,plain,
disjoint(esk22_0,X1),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_388,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360]) ).
cnf(i_0_543,plain,
( in(esk26_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_360]) ).
cnf(i_0_544,plain,
disjoint(X1,empty_set),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_388,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361]) ).
cnf(i_0_545,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_546,plain,
( in(esk26_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_361]) ).
cnf(i_0_547,plain,
subset(cartesian_product2(X1,empty_set),X2),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_388,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362]) ).
cnf(i_0_548,plain,
( in(esk11_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_362]) ).
cnf(i_0_549,plain,
subset(set_difference(empty_set,set_difference(empty_set,empty_set)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_388,i_0_510,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382]) ).
cnf(i_0_550,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_551,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_382]) ).
cnf(i_0_552,plain,
disjoint(X1,set_difference(X1,X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_388,i_0_510,i_0_550,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392]) ).
cnf(i_0_553,plain,
( set_difference(X1,X2) != X1
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_392]) ).
cnf(i_0_554,plain,
disjoint(X1,esk22_0),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_388,i_0_510,i_0_550,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396]) ).
cnf(i_0_555,plain,
( ~ disjoint(X1,X2)
| disjoint(X2,X1) ),
inference(rename_variables,[],[i_0_396]) ).
cnf(i_0_556,plain,
subset(X1,set_difference(X1,empty_set)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_388,i_0_510,i_0_550,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399]) ).
cnf(i_0_557,plain,
( set_difference(X1,X2) != empty_set
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_399]) ).
cnf(i_0_558,plain,
in(esk2_1(unordered_pair(X1,X1)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_388,i_0_510,i_0_550,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412]) ).
cnf(i_0_559,plain,
( X1 = empty_set
| in(esk2_1(X1),X1) ),
inference(rename_variables,[],[i_0_412]) ).
cnf(i_0_560,plain,
cartesian_product2(X1,empty_set) = empty_set,
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_388,i_0_510,i_0_550,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413]) ).
cnf(i_0_561,plain,
( ~ subset(X1,empty_set)
| X1 = empty_set ),
inference(rename_variables,[],[i_0_413]) ).
cnf(i_0_562,plain,
subset(set_difference(X1,set_difference(X1,X2)),set_difference(X2,set_difference(X2,X1))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_388,i_0_510,i_0_550,i_0_325,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418]) ).
cnf(i_0_563,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_418]) ).
cnf(i_0_564,plain,
subset(X1,set_difference(X1,set_difference(X1,X1))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_388,i_0_510,i_0_550,i_0_325,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419]) ).
cnf(i_0_565,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_419]) ).
cnf(i_0_566,plain,
~ empty(unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_388,i_0_510,i_0_550,i_0_325,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433]) ).
cnf(i_0_567,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_433]) ).
cnf(i_0_568,plain,
X1 = set_difference(X1,set_difference(X1,X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_388,i_0_510,i_0_550,i_0_325,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438]) ).
cnf(i_0_569,plain,
~ in(esk19_0,set_difference(esk20_0,set_difference(esk20_0,esk20_0))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_388,i_0_510,i_0_550,i_0_325,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459]) ).
cnf(i_0_570,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_571,plain,
~ in(X1,set_difference(cartesian_product2(X2,empty_set),set_difference(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_388,i_0_510,i_0_550,i_0_570,i_0_325,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268]) ).
cnf(i_0_572,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_573,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_574,plain,
( X1 != cartesian_product2(X2,X3)
| in(esk7_4(X2,X3,X1,X4),X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_268]) ).
cnf(i_0_575,plain,
~ in(X1,set_difference(cartesian_product2(empty_set,X2),set_difference(cartesian_product2(empty_set,X2),cartesian_product2(empty_set,X2)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_325,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269]) ).
cnf(i_0_576,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_577,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_578,plain,
( X1 != cartesian_product2(X2,X3)
| in(esk6_4(X2,X3,X1,X4),X2)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_269]) ).
cnf(i_0_579,plain,
~ in(X1,set_difference(union(empty_set),set_difference(union(empty_set),union(empty_set)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_325,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297]) ).
cnf(i_0_580,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_581,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_582,plain,
( X1 != union(X2)
| in(esk13_3(X2,X1,X3),X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_297]) ).
cnf(i_0_583,plain,
~ in(esk20_0,set_difference(set_union2(X1,set_difference(X1,esk18_0)),set_difference(X1,esk18_0))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310]) ).
cnf(i_0_584,plain,
set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
inference(rename_variables,[],[i_0_364]) ).
cnf(i_0_585,plain,
( X1 != set_difference(X2,set_difference(X2,X3))
| ~ in(X4,X1)
| in(X4,X3) ),
inference(rename_variables,[],[i_0_310]) ).
cnf(i_0_586,plain,
~ in(esk20_0,set_difference(set_difference(X1,esk19_0),set_difference(set_difference(X1,esk19_0),set_difference(X1,esk19_0)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340]) ).
cnf(i_0_587,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_588,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_340]) ).
cnf(i_0_589,plain,
~ in(esk20_0,set_difference(set_difference(esk18_0,X1),set_difference(set_difference(esk18_0,X1),set_difference(esk18_0,X1)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352]) ).
cnf(i_0_590,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_591,plain,
( X1 != set_difference(X2,X3)
| in(X4,X2)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_352]) ).
cnf(i_0_592,plain,
in(esk20_0,set_difference(set_union2(esk19_0,X1),set_difference(set_union2(esk19_0,X1),set_union2(esk19_0,X1)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353]) ).
cnf(i_0_593,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_594,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_353]) ).
cnf(i_0_595,plain,
in(esk20_0,set_difference(set_union2(X1,esk19_0),set_difference(set_union2(X1,esk19_0),set_union2(X1,esk19_0)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354]) ).
cnf(i_0_596,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_597,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X3) ),
inference(rename_variables,[],[i_0_354]) ).
cnf(i_0_598,plain,
~ subset(esk19_0,esk18_0),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357]) ).
cnf(i_0_599,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_357]) ).
cnf(i_0_600,plain,
~ in(unordered_pair(X1,X1),set_difference(unordered_pair(empty_set,empty_set),set_difference(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369]) ).
cnf(i_0_601,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_602,plain,
( X1 != unordered_pair(X2,X2)
| ~ in(X3,X1)
| X3 = X2 ),
inference(rename_variables,[],[i_0_369]) ).
cnf(i_0_603,plain,
~ in(esk19_0,set_difference(powerset(esk18_0),set_difference(powerset(esk18_0),powerset(esk18_0)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374]) ).
cnf(i_0_604,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_605,plain,
( X1 != powerset(X2)
| subset(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_374]) ).
cnf(i_0_606,plain,
in(X1,set_union2(powerset(X1),powerset(X1))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375]) ).
cnf(i_0_607,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_608,plain,
( X1 != powerset(X2)
| in(X3,X1)
| ~ subset(X3,X2) ),
inference(rename_variables,[],[i_0_375]) ).
cnf(i_0_609,plain,
in(set_difference(X1,set_difference(X1,X1)),set_union2(unordered_pair(X1,X2),unordered_pair(X1,X2))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384]) ).
cnf(i_0_610,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_611,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X2 ),
inference(rename_variables,[],[i_0_384]) ).
cnf(i_0_612,plain,
in(set_difference(X1,set_difference(X1,X1)),set_union2(unordered_pair(X2,X1),unordered_pair(X2,X1))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_416,i_0_435,i_0_411,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385]) ).
cnf(i_0_613,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_614,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X3 ),
inference(rename_variables,[],[i_0_385]) ).
cnf(i_0_615,plain,
element(X1,powerset(X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_416,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386]) ).
cnf(i_0_616,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_421]) ).
cnf(i_0_617,plain,
( empty(X1)
| ~ in(X2,X1)
| element(X2,X1) ),
inference(rename_variables,[],[i_0_386]) ).
cnf(i_0_618,plain,
in(esk17_1(esk23_0),esk23_0),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387]) ).
cnf(i_0_619,plain,
element(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_415]) ).
cnf(i_0_620,plain,
( empty(X1)
| ~ element(X2,X1)
| in(X2,X1) ),
inference(rename_variables,[],[i_0_387]) ).
cnf(i_0_621,plain,
~ element(esk23_0,esk22_0),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402]) ).
cnf(i_0_622,plain,
( ~ empty(X1)
| empty(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_402]) ).
cnf(i_0_623,plain,
~ in(esk19_0,powerset(esk18_0)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478]) ).
cnf(i_0_624,plain,
( in(X1,set_difference(X2,set_difference(X2,X3)))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_478]) ).
cnf(i_0_625,plain,
in(set_difference(X1,set_difference(X1,X1)),unordered_pair(X1,X2)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480]) ).
cnf(i_0_626,plain,
( ~ in(X1,set_union2(X2,X3))
| in(X1,X2)
| in(X1,X3) ),
inference(rename_variables,[],[i_0_480]) ).
cnf(i_0_627,plain,
in(esk20_0,set_difference(esk19_0,esk18_0)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481]) ).
cnf(i_0_628,plain,
( ~ in(X1,X2)
| in(X1,X3)
| in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_481]) ).
cnf(i_0_629,plain,
in(esk20_0,union(esk28_1(esk19_0))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483]) ).
cnf(i_0_630,plain,
in(X1,esk28_1(X1)),
inference(rename_variables,[],[i_0_416]) ).
cnf(i_0_631,plain,
( ~ in(X1,X2)
| in(X3,union(X2))
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_483]) ).
cnf(i_0_632,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487]) ).
cnf(i_0_633,plain,
( ~ in(X1,unordered_pair(X2,X3))
| X1 = X2
| X1 = X3 ),
inference(rename_variables,[],[i_0_487]) ).
cnf(i_0_634,plain,
~ in(set_difference(esk20_0,set_difference(esk20_0,esk20_0)),esk18_0),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458]) ).
cnf(i_0_635,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_636,plain,
~ element(set_difference(esk23_0,set_difference(esk23_0,esk23_0)),esk22_0),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469]) ).
cnf(i_0_637,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_638,plain,
~ element(esk23_0,set_difference(esk22_0,set_difference(esk22_0,esk22_0))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470]) ).
cnf(i_0_639,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_640,plain,
empty_set = cartesian_product2(X1,cartesian_product2(empty_set,X2)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285]) ).
cnf(i_0_641,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_642,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_285]) ).
cnf(i_0_643,plain,
empty_set = cartesian_product2(union(empty_set),X1),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286]) ).
cnf(i_0_644,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_645,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_286]) ).
cnf(i_0_646,plain,
set_difference(cartesian_product2(X1,empty_set),set_difference(cartesian_product2(X1,empty_set),cartesian_product2(X1,empty_set))) = union(empty_set),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318]) ).
cnf(i_0_647,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_648,plain,
( in(esk14_2(X1,X2),X2)
| X2 = union(X1)
| in(esk15_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_318]) ).
cnf(i_0_649,plain,
set_difference(cartesian_product2(empty_set,X1),set_difference(cartesian_product2(empty_set,X1),cartesian_product2(empty_set,X1))) = empty_set,
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322]) ).
cnf(i_0_650,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_651,plain,
( in(esk25_2(X1,X2),X1)
| in(esk25_2(X1,X2),X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_322]) ).
cnf(i_0_652,plain,
X1 = set_difference(X1,empty_set),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371]) ).
cnf(i_0_653,plain,
subset(set_difference(X1,X2),X1),
inference(rename_variables,[],[i_0_389]) ).
cnf(i_0_654,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_371]) ).
cnf(i_0_655,plain,
in(X1,esk29_2(X1,X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_630,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311]) ).
cnf(i_0_656,plain,
in(X1,esk28_1(X1)),
inference(rename_variables,[],[i_0_416]) ).
cnf(i_0_657,plain,
( ~ in(X1,esk28_1(X2))
| in(X3,esk29_2(X2,X1))
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_658,plain,
~ subset(esk19_0,empty_set),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_630,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356]) ).
cnf(i_0_659,plain,
subset(empty_set,X1),
inference(rename_variables,[],[i_0_429]) ).
cnf(i_0_660,plain,
( ~ subset(X1,X2)
| subset(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_356]) ).
cnf(i_0_661,plain,
element(esk22_0,esk22_0),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_630,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405]) ).
cnf(i_0_662,plain,
( ~ empty(X1)
| ~ empty(X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_405]) ).
cnf(i_0_663,plain,
unordered_pair(X1,X1) != set_difference(empty_set,set_difference(empty_set,empty_set)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_630,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439]) ).
cnf(i_0_664,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_665,plain,
esk22_0 != esk23_0,
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_630,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460]) ).
cnf(i_0_666,plain,
~ subset(set_difference(esk19_0,set_difference(esk19_0,esk19_0)),esk18_0),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_630,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461]) ).
cnf(i_0_667,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_668,plain,
~ subset(esk19_0,set_difference(esk18_0,set_difference(esk18_0,esk18_0))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_667,i_0_325,i_0_364,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_630,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461,i_0_462]) ).
cnf(i_0_669,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_670,plain,
~ proper_subset(set_difference(X1,set_difference(X1,X1)),X1),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_667,i_0_669,i_0_325,i_0_364,i_0_410,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_630,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461,i_0_462,i_0_467]) ).
cnf(i_0_671,plain,
~ proper_subset(X1,X1),
inference(rename_variables,[],[i_0_410]) ).
cnf(i_0_672,plain,
~ proper_subset(X1,set_difference(X1,set_difference(X1,X1))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_667,i_0_669,i_0_325,i_0_364,i_0_410,i_0_671,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_630,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461,i_0_462,i_0_467,i_0_468]) ).
cnf(i_0_673,plain,
~ proper_subset(X1,X1),
inference(rename_variables,[],[i_0_410]) ).
cnf(i_0_674,plain,
in(esk20_0,set_difference(esk19_0,set_difference(esk19_0,esk19_0))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_667,i_0_669,i_0_325,i_0_364,i_0_410,i_0_671,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_630,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461,i_0_462,i_0_467,i_0_468,i_0_304]) ).
cnf(i_0_675,plain,
set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
inference(rename_variables,[],[i_0_325]) ).
cnf(i_0_676,plain,
( X1 != set_difference(X2,set_difference(X2,X3))
| ~ in(X4,X3)
| ~ in(X4,X2)
| in(X4,X1) ),
inference(rename_variables,[],[i_0_304]) ).
cnf(i_0_677,plain,
~ in(esk20_0,set_difference(set_union2(esk18_0,esk18_0),set_difference(set_union2(esk18_0,esk18_0),set_union2(esk18_0,esk18_0)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_667,i_0_669,i_0_325,i_0_364,i_0_410,i_0_671,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_630,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461,i_0_462,i_0_467,i_0_468,i_0_304,i_0_333]) ).
cnf(i_0_678,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_679,plain,
( X1 != set_union2(X2,X3)
| in(X4,X2)
| in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_333]) ).
cnf(i_0_680,plain,
in(esk20_0,set_difference(set_union2(esk19_0,esk18_0),esk18_0)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_667,i_0_669,i_0_325,i_0_364,i_0_584,i_0_410,i_0_671,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_415,i_0_416,i_0_630,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461,i_0_462,i_0_467,i_0_468,i_0_304,i_0_333,i_0_334]) ).
cnf(i_0_681,plain,
set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
inference(rename_variables,[],[i_0_364]) ).
cnf(i_0_682,plain,
( X1 != set_difference(X2,X3)
| in(X4,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_334]) ).
cnf(i_0_683,plain,
in(esk20_0,set_union2(union(esk28_1(esk19_0)),union(esk28_1(esk19_0)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_667,i_0_669,i_0_325,i_0_364,i_0_584,i_0_410,i_0_671,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_613,i_0_415,i_0_416,i_0_630,i_0_656,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461,i_0_462,i_0_467,i_0_468,i_0_304,i_0_333,i_0_334,i_0_341]) ).
cnf(i_0_684,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_685,plain,
in(X1,esk28_1(X1)),
inference(rename_variables,[],[i_0_416]) ).
cnf(i_0_686,plain,
( X1 != union(X2)
| in(X3,X1)
| ~ in(X3,X4)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_341]) ).
cnf(i_0_687,plain,
~ in(unordered_pair(X1,X1),set_union2(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_667,i_0_669,i_0_325,i_0_364,i_0_584,i_0_410,i_0_671,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_613,i_0_684,i_0_415,i_0_416,i_0_630,i_0_656,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461,i_0_462,i_0_467,i_0_468,i_0_304,i_0_333,i_0_334,i_0_341,i_0_368]) ).
cnf(i_0_688,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_689,plain,
( X1 != unordered_pair(X2,X3)
| X4 = X2
| X4 = X3
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_368]) ).
cnf(i_0_690,plain,
in(unordered_pair(unordered_pair(esk20_0,esk20_0),unordered_pair(esk20_0,esk20_0)),set_difference(cartesian_product2(esk19_0,esk19_0),set_difference(cartesian_product2(esk19_0,esk19_0),cartesian_product2(esk19_0,esk19_0)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_667,i_0_669,i_0_678,i_0_325,i_0_364,i_0_584,i_0_410,i_0_671,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_613,i_0_684,i_0_407,i_0_415,i_0_416,i_0_630,i_0_656,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461,i_0_462,i_0_467,i_0_468,i_0_304,i_0_333,i_0_334,i_0_341,i_0_368,i_0_294]) ).
cnf(i_0_691,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_407]) ).
cnf(i_0_692,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_693,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_294]) ).
cnf(i_0_694,plain,
~ disjoint(set_union2(esk19_0,X1),set_union2(esk19_0,X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_667,i_0_669,i_0_678,i_0_325,i_0_364,i_0_584,i_0_410,i_0_671,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_613,i_0_684,i_0_407,i_0_415,i_0_416,i_0_630,i_0_656,i_0_389,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461,i_0_462,i_0_467,i_0_468,i_0_304,i_0_333,i_0_334,i_0_341,i_0_368,i_0_294,i_0_295]) ).
cnf(i_0_695,plain,
( ~ in(X1,set_difference(X2,set_difference(X2,X3)))
| ~ disjoint(X2,X3) ),
inference(rename_variables,[],[i_0_295]) ).
cnf(i_0_696,plain,
( ~ in(X1,set_difference(union(X2),empty_set))
| in(X1,esk13_3(X2,set_difference(union(X2),empty_set),X1)) ),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_667,i_0_669,i_0_678,i_0_325,i_0_364,i_0_584,i_0_410,i_0_671,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_613,i_0_684,i_0_407,i_0_415,i_0_416,i_0_630,i_0_656,i_0_389,i_0_427,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461,i_0_462,i_0_467,i_0_468,i_0_304,i_0_333,i_0_334,i_0_341,i_0_368,i_0_294,i_0_295,i_0_298]) ).
cnf(i_0_697,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_427]) ).
cnf(i_0_698,plain,
( X1 != union(X2)
| in(X3,esk13_3(X2,X1,X3))
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_298]) ).
cnf(i_0_699,plain,
in(esk12_3(empty_set,empty_set,unordered_pair(X1,X1)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_650,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_667,i_0_669,i_0_678,i_0_325,i_0_364,i_0_584,i_0_410,i_0_671,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_613,i_0_684,i_0_407,i_0_415,i_0_416,i_0_630,i_0_656,i_0_389,i_0_427,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461,i_0_462,i_0_467,i_0_468,i_0_304,i_0_333,i_0_334,i_0_341,i_0_368,i_0_294,i_0_295,i_0_298,i_0_278]) ).
cnf(i_0_700,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_701,plain,
( X1 = set_difference(X2,set_difference(X2,X3))
| in(esk12_3(X2,X3,X1),X1)
| in(esk12_3(X2,X3,X1),X2) ),
inference(rename_variables,[],[i_0_278]) ).
cnf(i_0_702,plain,
in(esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(X1,X1)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_650,i_0_700,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_667,i_0_669,i_0_678,i_0_325,i_0_364,i_0_584,i_0_410,i_0_671,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_613,i_0_684,i_0_407,i_0_415,i_0_416,i_0_630,i_0_656,i_0_389,i_0_427,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461,i_0_462,i_0_467,i_0_468,i_0_304,i_0_333,i_0_334,i_0_341,i_0_368,i_0_294,i_0_295,i_0_298,i_0_278,i_0_284]) ).
cnf(i_0_703,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_704,plain,
( X1 = set_difference(X2,X3)
| in(esk16_3(X2,X3,X1),X2)
| in(esk16_3(X2,X3,X1),X1) ),
inference(rename_variables,[],[i_0_284]) ).
cnf(i_0_705,plain,
~ subset(set_union2(esk19_0,X1),empty_set),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_650,i_0_700,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_667,i_0_669,i_0_678,i_0_325,i_0_364,i_0_584,i_0_410,i_0_671,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_613,i_0_684,i_0_407,i_0_415,i_0_416,i_0_630,i_0_656,i_0_389,i_0_427,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461,i_0_462,i_0_467,i_0_468,i_0_304,i_0_333,i_0_334,i_0_341,i_0_368,i_0_294,i_0_295,i_0_298,i_0_278,i_0_284,i_0_355]) ).
cnf(i_0_706,plain,
( ~ disjoint(X1,X2)
| disjoint(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_707,plain,
~ disjoint(set_difference(set_union2(esk19_0,X1),set_difference(set_union2(esk19_0,X1),set_union2(esk19_0,X1))),set_union2(esk19_0,X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_650,i_0_700,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_667,i_0_669,i_0_678,i_0_692,i_0_325,i_0_364,i_0_584,i_0_410,i_0_671,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_613,i_0_684,i_0_407,i_0_415,i_0_416,i_0_630,i_0_656,i_0_389,i_0_427,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461,i_0_462,i_0_467,i_0_468,i_0_304,i_0_333,i_0_334,i_0_341,i_0_368,i_0_294,i_0_295,i_0_298,i_0_278,i_0_284,i_0_355,i_0_463]) ).
cnf(i_0_708,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_709,plain,
~ disjoint(set_union2(esk19_0,X1),set_difference(set_union2(esk19_0,X1),set_difference(set_union2(esk19_0,X1),set_union2(esk19_0,X1)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_496,i_0_513,i_0_516,i_0_519,i_0_545,i_0_573,i_0_577,i_0_581,i_0_641,i_0_644,i_0_647,i_0_650,i_0_700,i_0_388,i_0_510,i_0_550,i_0_570,i_0_572,i_0_576,i_0_580,i_0_587,i_0_590,i_0_593,i_0_596,i_0_601,i_0_604,i_0_635,i_0_637,i_0_639,i_0_664,i_0_667,i_0_669,i_0_678,i_0_692,i_0_708,i_0_325,i_0_364,i_0_584,i_0_410,i_0_671,i_0_425,i_0_500,i_0_503,i_0_429,i_0_424,i_0_607,i_0_610,i_0_613,i_0_684,i_0_407,i_0_415,i_0_416,i_0_630,i_0_656,i_0_389,i_0_427,i_0_434,i_0_435,i_0_411,i_0_421,i_0_430,i_0_395,i_0_330,i_0_331,i_0_378,i_0_404,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_493,i_0_300,i_0_326,i_0_332,i_0_360,i_0_361,i_0_362,i_0_382,i_0_392,i_0_396,i_0_399,i_0_412,i_0_413,i_0_418,i_0_419,i_0_433,i_0_438,i_0_459,i_0_268,i_0_269,i_0_297,i_0_310,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_369,i_0_374,i_0_375,i_0_384,i_0_385,i_0_386,i_0_387,i_0_402,i_0_478,i_0_480,i_0_481,i_0_483,i_0_487,i_0_458,i_0_469,i_0_470,i_0_285,i_0_286,i_0_318,i_0_322,i_0_371,i_0_311,i_0_356,i_0_405,i_0_439,i_0_460,i_0_461,i_0_462,i_0_467,i_0_468,i_0_304,i_0_333,i_0_334,i_0_341,i_0_368,i_0_294,i_0_295,i_0_298,i_0_278,i_0_284,i_0_355,i_0_463,i_0_464]) ).
cnf(i_0_710,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_711,plain,
~ in(X1,set_difference(unordered_pair(X1,X1),unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_552,i_0_317]) ).
cnf(i_0_712,plain,
disjoint(X1,set_difference(X1,X1)),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_713,plain,
( ~ disjoint(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_317]) ).
cnf(i_0_714,plain,
in(X1,set_difference(unordered_pair(X1,X2),set_difference(unordered_pair(X1,X2),unordered_pair(X1,X2)))),
inference(scs_inference,[],[i_0_552,i_0_564,i_0_317,i_0_330]) ).
cnf(i_0_715,plain,
subset(X1,set_difference(X1,set_difference(X1,X1))),
inference(rename_variables,[],[i_0_564]) ).
cnf(i_0_716,plain,
( ~ subset(unordered_pair(X1,X2),X3)
| in(X1,X3) ),
inference(rename_variables,[],[i_0_330]) ).
cnf(i_0_717,plain,
in(X1,set_difference(unordered_pair(X2,X1),set_difference(unordered_pair(X2,X1),unordered_pair(X2,X1)))),
inference(scs_inference,[],[i_0_552,i_0_564,i_0_715,i_0_317,i_0_330,i_0_331]) ).
cnf(i_0_718,plain,
subset(X1,set_difference(X1,set_difference(X1,X1))),
inference(rename_variables,[],[i_0_564]) ).
cnf(i_0_719,plain,
( ~ subset(unordered_pair(X1,X2),X3)
| in(X2,X3) ),
inference(rename_variables,[],[i_0_331]) ).
cnf(i_0_720,plain,
~ in(unordered_pair(X1,X2),set_difference(X1,set_difference(X1,X1))),
inference(scs_inference,[],[i_0_625,i_0_552,i_0_564,i_0_715,i_0_317,i_0_330,i_0_331,i_0_378]) ).
cnf(i_0_721,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_378]) ).
cnf(i_0_722,plain,
~ in(X1,esk2_1(unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_552,i_0_564,i_0_715,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409]) ).
cnf(i_0_723,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_724,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_409]) ).
cnf(i_0_725,plain,
~ in(X1,cartesian_product2(X2,cartesian_product2(X3,empty_set))),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_512,i_0_552,i_0_564,i_0_715,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472]) ).
cnf(i_0_726,plain,
~ in(X1,cartesian_product2(X2,empty_set)),
inference(rename_variables,[],[i_0_512]) ).
cnf(i_0_727,plain,
( in(esk7_4(X1,X2,cartesian_product2(X1,X2),X3),X2)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(rename_variables,[],[i_0_472]) ).
cnf(i_0_728,plain,
~ in(X1,cartesian_product2(cartesian_product2(X2,empty_set),X3)),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_512,i_0_726,i_0_552,i_0_564,i_0_715,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473]) ).
cnf(i_0_729,plain,
~ in(X1,cartesian_product2(X2,empty_set)),
inference(rename_variables,[],[i_0_512]) ).
cnf(i_0_730,plain,
( in(esk6_4(X1,X2,cartesian_product2(X1,X2),X3),X1)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(rename_variables,[],[i_0_473]) ).
cnf(i_0_731,plain,
~ in(X1,union(cartesian_product2(X2,empty_set))),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_512,i_0_726,i_0_729,i_0_552,i_0_564,i_0_715,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476]) ).
cnf(i_0_732,plain,
~ in(X1,cartesian_product2(X2,empty_set)),
inference(rename_variables,[],[i_0_512]) ).
cnf(i_0_733,plain,
( in(esk13_3(X1,union(X1),X2),X1)
| ~ in(X2,union(X1)) ),
inference(rename_variables,[],[i_0_476]) ).
cnf(i_0_734,plain,
~ in(unordered_pair(X1,X1),set_difference(X2,set_difference(X2,unordered_pair(empty_set,empty_set)))),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_531,i_0_512,i_0_726,i_0_729,i_0_552,i_0_564,i_0_715,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479]) ).
cnf(i_0_735,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_479]) ).
cnf(i_0_736,plain,
~ in(set_difference(X1,set_difference(X1,X1)),set_difference(X2,unordered_pair(X1,X3))),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_531,i_0_512,i_0_726,i_0_729,i_0_552,i_0_564,i_0_715,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482]) ).
cnf(i_0_737,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_482]) ).
cnf(i_0_738,plain,
~ in(unordered_pair(X1,X1),set_difference(set_union2(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set)),X2)),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_687,i_0_531,i_0_512,i_0_726,i_0_729,i_0_552,i_0_564,i_0_715,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484]) ).
cnf(i_0_739,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_484]) ).
cnf(i_0_740,plain,
in(set_difference(X1,set_difference(X1,X1)),set_union2(unordered_pair(X1,X2),X3)),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_687,i_0_531,i_0_512,i_0_726,i_0_729,i_0_552,i_0_564,i_0_715,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485]) ).
cnf(i_0_741,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_485]) ).
cnf(i_0_742,plain,
in(set_difference(X1,set_difference(X1,X1)),set_union2(X2,unordered_pair(X1,X3))),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_687,i_0_531,i_0_512,i_0_726,i_0_729,i_0_552,i_0_564,i_0_715,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486]) ).
cnf(i_0_743,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_486]) ).
cnf(i_0_744,plain,
~ in(unordered_pair(X1,X1),unordered_pair(set_difference(empty_set,set_difference(empty_set,empty_set)),set_difference(empty_set,set_difference(empty_set,empty_set)))),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_687,i_0_531,i_0_512,i_0_726,i_0_729,i_0_552,i_0_564,i_0_715,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488]) ).
cnf(i_0_745,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_488]) ).
cnf(i_0_746,plain,
~ disjoint(cartesian_product2(esk19_0,esk19_0),cartesian_product2(esk19_0,esk19_0)),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_687,i_0_690,i_0_531,i_0_512,i_0_726,i_0_729,i_0_552,i_0_564,i_0_715,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295]) ).
cnf(i_0_747,plain,
( ~ in(X1,set_difference(X2,set_difference(X2,X3)))
| ~ disjoint(X2,X3) ),
inference(rename_variables,[],[i_0_295]) ).
cnf(i_0_748,plain,
in(esk29_2(X1,esk29_2(X1,X1)),esk28_1(X1)),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_687,i_0_690,i_0_531,i_0_512,i_0_726,i_0_729,i_0_537,i_0_552,i_0_564,i_0_715,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326]) ).
cnf(i_0_749,plain,
( ~ in(X1,esk28_1(X2))
| in(esk29_2(X2,X1),esk28_1(X2)) ),
inference(rename_variables,[],[i_0_326]) ).
cnf(i_0_750,plain,
subset(esk2_1(unordered_pair(empty_set,empty_set)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_723,i_0_687,i_0_690,i_0_531,i_0_512,i_0_726,i_0_729,i_0_537,i_0_552,i_0_564,i_0_715,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382]) ).
cnf(i_0_751,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_752,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_382]) ).
cnf(i_0_753,plain,
subset(X1,esk2_1(unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_723,i_0_751,i_0_687,i_0_690,i_0_531,i_0_512,i_0_726,i_0_729,i_0_537,i_0_552,i_0_564,i_0_715,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419]) ).
cnf(i_0_754,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_419]) ).
cnf(i_0_755,plain,
in(X1,powerset(set_difference(X1,set_difference(X1,X1)))),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_723,i_0_751,i_0_687,i_0_690,i_0_531,i_0_512,i_0_726,i_0_729,i_0_537,i_0_552,i_0_564,i_0_715,i_0_718,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493]) ).
cnf(i_0_756,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_493]) ).
cnf(i_0_757,plain,
disjoint(X1,cartesian_product2(X2,empty_set)),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_723,i_0_751,i_0_687,i_0_690,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_537,i_0_552,i_0_564,i_0_715,i_0_718,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361]) ).
cnf(i_0_758,plain,
~ in(X1,cartesian_product2(X2,empty_set)),
inference(rename_variables,[],[i_0_512]) ).
cnf(i_0_759,plain,
( in(esk26_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_361]) ).
cnf(i_0_760,plain,
subset(cartesian_product2(empty_set,X1),X2),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_723,i_0_751,i_0_687,i_0_690,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_515,i_0_537,i_0_552,i_0_564,i_0_715,i_0_718,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362]) ).
cnf(i_0_761,plain,
~ in(X1,cartesian_product2(empty_set,X2)),
inference(rename_variables,[],[i_0_515]) ).
cnf(i_0_762,plain,
( in(esk11_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_362]) ).
cnf(i_0_763,plain,
cartesian_product2(empty_set,X1) = empty_set,
inference(scs_inference,[],[i_0_625,i_0_632,i_0_723,i_0_751,i_0_687,i_0_690,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_515,i_0_537,i_0_552,i_0_564,i_0_715,i_0_718,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413]) ).
cnf(i_0_764,plain,
( ~ subset(X1,empty_set)
| X1 = empty_set ),
inference(rename_variables,[],[i_0_413]) ).
cnf(i_0_765,plain,
subset(esk2_1(unordered_pair(X1,X1)),X1),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_723,i_0_751,i_0_687,i_0_690,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_515,i_0_537,i_0_552,i_0_564,i_0_715,i_0_718,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418]) ).
cnf(i_0_766,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_418]) ).
cnf(i_0_767,plain,
disjoint(set_difference(X1,X1),X1),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_723,i_0_751,i_0_687,i_0_690,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_515,i_0_537,i_0_552,i_0_712,i_0_564,i_0_715,i_0_718,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396]) ).
cnf(i_0_768,plain,
( ~ disjoint(X1,X2)
| disjoint(X2,X1) ),
inference(rename_variables,[],[i_0_396]) ).
cnf(i_0_769,plain,
disjoint(cartesian_product2(empty_set,X1),cartesian_product2(empty_set,X1)),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_723,i_0_751,i_0_687,i_0_690,i_0_575,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_515,i_0_537,i_0_552,i_0_712,i_0_564,i_0_715,i_0_718,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300]) ).
cnf(i_0_770,plain,
~ in(X1,set_difference(cartesian_product2(empty_set,X2),set_difference(cartesian_product2(empty_set,X2),cartesian_product2(empty_set,X2)))),
inference(rename_variables,[],[i_0_575]) ).
cnf(i_0_771,plain,
( in(esk27_2(X1,X2),set_difference(X1,set_difference(X1,X2)))
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_772,plain,
disjoint(cartesian_product2(X1,empty_set),X2),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_723,i_0_751,i_0_687,i_0_690,i_0_575,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_537,i_0_552,i_0_712,i_0_564,i_0_715,i_0_718,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360]) ).
cnf(i_0_773,plain,
~ in(X1,cartesian_product2(X2,empty_set)),
inference(rename_variables,[],[i_0_512]) ).
cnf(i_0_774,plain,
( in(esk26_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_360]) ).
cnf(i_0_775,plain,
X1 = esk2_1(unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_625,i_0_632,i_0_723,i_0_751,i_0_687,i_0_690,i_0_575,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_537,i_0_552,i_0_712,i_0_564,i_0_715,i_0_718,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438]) ).
cnf(i_0_776,plain,
~ in(esk20_0,esk2_1(unordered_pair(set_difference(X1,esk19_0),set_difference(X1,esk19_0)))),
inference(scs_inference,[],[i_0_431,i_0_625,i_0_632,i_0_723,i_0_751,i_0_687,i_0_690,i_0_575,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_537,i_0_552,i_0_712,i_0_564,i_0_715,i_0_718,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340]) ).
cnf(i_0_777,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_778,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_340]) ).
cnf(i_0_779,plain,
~ in(esk20_0,esk2_1(unordered_pair(set_difference(esk18_0,X1),set_difference(esk18_0,X1)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_632,i_0_723,i_0_751,i_0_777,i_0_687,i_0_690,i_0_575,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_537,i_0_552,i_0_712,i_0_564,i_0_715,i_0_718,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352]) ).
cnf(i_0_780,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_781,plain,
( X1 != set_difference(X2,X3)
| in(X4,X2)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_352]) ).
cnf(i_0_782,plain,
in(esk20_0,esk2_1(unordered_pair(set_union2(esk19_0,X1),set_union2(esk19_0,X1)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_687,i_0_690,i_0_575,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_537,i_0_552,i_0_712,i_0_564,i_0_715,i_0_718,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353]) ).
cnf(i_0_783,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_784,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_353]) ).
cnf(i_0_785,plain,
in(esk20_0,esk2_1(unordered_pair(set_union2(X1,esk19_0),set_union2(X1,esk19_0)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_687,i_0_690,i_0_575,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_537,i_0_552,i_0_712,i_0_564,i_0_715,i_0_718,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354]) ).
cnf(i_0_786,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_787,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X3) ),
inference(rename_variables,[],[i_0_354]) ).
cnf(i_0_788,plain,
~ subset(unordered_pair(X1,X2),set_difference(cartesian_product2(X3,empty_set),set_difference(cartesian_product2(X3,empty_set),cartesian_product2(X3,empty_set)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_687,i_0_690,i_0_571,i_0_575,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_537,i_0_552,i_0_712,i_0_564,i_0_715,i_0_718,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357]) ).
cnf(i_0_789,plain,
~ in(X1,set_difference(cartesian_product2(X2,empty_set),set_difference(cartesian_product2(X2,empty_set),cartesian_product2(X2,empty_set)))),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_790,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_357]) ).
cnf(i_0_791,plain,
~ in(esk19_0,esk2_1(unordered_pair(powerset(esk18_0),powerset(esk18_0)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_537,i_0_552,i_0_712,i_0_564,i_0_715,i_0_718,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374]) ).
cnf(i_0_792,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_793,plain,
( X1 != powerset(X2)
| subset(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_374]) ).
cnf(i_0_794,plain,
element(set_difference(X1,set_difference(X1,X1)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_537,i_0_552,i_0_712,i_0_566,i_0_564,i_0_715,i_0_718,i_0_663,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386]) ).
cnf(i_0_795,plain,
~ empty(unordered_pair(X1,X1)),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_796,plain,
in(set_difference(X1,set_difference(X1,X1)),unordered_pair(X1,X2)),
inference(rename_variables,[],[i_0_625]) ).
cnf(i_0_797,plain,
( empty(X1)
| ~ in(X2,X1)
| element(X2,X1) ),
inference(rename_variables,[],[i_0_386]) ).
cnf(i_0_798,plain,
in(esk17_1(unordered_pair(X1,X1)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387]) ).
cnf(i_0_799,plain,
element(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_415]) ).
cnf(i_0_800,plain,
( empty(X1)
| ~ element(X2,X1)
| in(X2,X1) ),
inference(rename_variables,[],[i_0_387]) ).
cnf(i_0_801,plain,
~ element(unordered_pair(X1,X1),empty_set),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_436,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402]) ).
cnf(i_0_802,plain,
( ~ empty(X1)
| empty(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_402]) ).
cnf(i_0_803,plain,
in(esk20_0,set_difference(powerset(esk20_0),esk18_0)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_533,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_436,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481]) ).
cnf(i_0_804,plain,
in(X1,powerset(X1)),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_805,plain,
( ~ in(X1,X2)
| in(X1,X3)
| in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_481]) ).
cnf(i_0_806,plain,
in(unordered_pair(unordered_pair(esk20_0,esk20_0),unordered_pair(esk20_0,esk20_0)),union(unordered_pair(cartesian_product2(esk19_0,esk19_0),X1))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_436,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483]) ).
cnf(i_0_807,plain,
in(set_difference(X1,set_difference(X1,X1)),unordered_pair(X1,X2)),
inference(rename_variables,[],[i_0_625]) ).
cnf(i_0_808,plain,
( ~ in(X1,X2)
| in(X3,union(X2))
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_483]) ).
cnf(i_0_809,plain,
esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(X1,X1)) = X1,
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_702,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_436,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487]) ).
cnf(i_0_810,plain,
( ~ in(X1,unordered_pair(X2,X3))
| X1 = X2
| X1 = X3 ),
inference(rename_variables,[],[i_0_487]) ).
cnf(i_0_811,plain,
in(cartesian_product2(X1,empty_set),esk29_2(X2,esk29_2(X2,X2))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_702,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_547,i_0_436,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311]) ).
cnf(i_0_812,plain,
subset(cartesian_product2(X1,empty_set),X2),
inference(rename_variables,[],[i_0_547]) ).
cnf(i_0_813,plain,
( ~ in(X1,esk28_1(X2))
| in(X3,esk29_2(X2,X1))
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_814,plain,
element(empty_set,empty_set),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_702,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_547,i_0_436,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405]) ).
cnf(i_0_815,plain,
( ~ empty(X1)
| ~ empty(X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_405]) ).
cnf(i_0_816,plain,
in(unordered_pair(unordered_pair(esk20_0,esk20_0),unordered_pair(esk20_0,esk20_0)),cartesian_product2(esk19_0,esk19_0)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_547,i_0_436,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310]) ).
cnf(i_0_817,plain,
set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
inference(rename_variables,[],[i_0_325]) ).
cnf(i_0_818,plain,
( X1 != set_difference(X2,set_difference(X2,X3))
| ~ in(X4,X1)
| in(X4,X3) ),
inference(rename_variables,[],[i_0_310]) ).
cnf(i_0_819,plain,
in(esk2_1(unordered_pair(X1,X1)),set_union2(unordered_pair(X1,X2),empty_set)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_547,i_0_428,i_0_436,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384]) ).
cnf(i_0_820,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_428]) ).
cnf(i_0_821,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X2 ),
inference(rename_variables,[],[i_0_384]) ).
cnf(i_0_822,plain,
in(esk2_1(unordered_pair(X1,X1)),set_union2(unordered_pair(X2,X1),empty_set)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_547,i_0_428,i_0_820,i_0_436,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385]) ).
cnf(i_0_823,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_428]) ).
cnf(i_0_824,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X3 ),
inference(rename_variables,[],[i_0_385]) ).
cnf(i_0_825,plain,
subset(X1,set_difference(set_difference(X1,set_difference(X1,X1)),empty_set)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_556,i_0_547,i_0_428,i_0_820,i_0_436,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356]) ).
cnf(i_0_826,plain,
subset(X1,set_difference(X1,empty_set)),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_827,plain,
( ~ subset(X1,X2)
| subset(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_356]) ).
cnf(i_0_828,plain,
empty_set = cartesian_product2(X1,empty_set),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_556,i_0_547,i_0_812,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371]) ).
cnf(i_0_829,plain,
subset(empty_set,X1),
inference(rename_variables,[],[i_0_429]) ).
cnf(i_0_830,plain,
subset(cartesian_product2(X1,empty_set),X2),
inference(rename_variables,[],[i_0_547]) ).
cnf(i_0_831,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_371]) ).
cnf(i_0_832,plain,
in(set_difference(X1,set_difference(X1,X1)),unordered_pair(X2,X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_556,i_0_547,i_0_812,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480]) ).
cnf(i_0_833,plain,
( ~ in(X1,set_union2(X2,X3))
| in(X1,X2)
| in(X1,X3) ),
inference(rename_variables,[],[i_0_480]) ).
cnf(i_0_834,plain,
disjoint(X1,set_difference(set_difference(X1,set_difference(X1,X1)),set_difference(X1,set_difference(X1,X1)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_556,i_0_547,i_0_812,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355]) ).
cnf(i_0_835,plain,
disjoint(X1,set_difference(X1,X1)),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_836,plain,
( ~ disjoint(X1,X2)
| disjoint(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_837,plain,
~ in(esk20_0,set_union2(esk18_0,esk18_0)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_556,i_0_547,i_0_812,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478]) ).
cnf(i_0_838,plain,
( in(X1,set_difference(X2,set_difference(X2,X3)))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_478]) ).
cnf(i_0_839,plain,
~ in(esk2_1(unordered_pair(esk20_0,esk20_0)),esk18_0),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_556,i_0_547,i_0_812,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458]) ).
cnf(i_0_840,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_841,plain,
~ element(esk2_1(unordered_pair(esk23_0,esk23_0)),set_difference(esk22_0,set_difference(esk22_0,esk22_0))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_638,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_556,i_0_547,i_0_812,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469]) ).
cnf(i_0_842,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_843,plain,
~ element(set_difference(esk23_0,set_difference(esk23_0,esk23_0)),esk2_1(unordered_pair(esk22_0,esk22_0))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_556,i_0_547,i_0_812,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470]) ).
cnf(i_0_844,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_845,plain,
empty_set != unordered_pair(X1,X1),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_556,i_0_547,i_0_812,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460]) ).
cnf(i_0_846,plain,
~ subset(esk2_1(unordered_pair(esk19_0,esk19_0)),esk18_0),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_556,i_0_547,i_0_812,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461]) ).
cnf(i_0_847,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_848,plain,
~ disjoint(esk2_1(unordered_pair(set_union2(esk19_0,X1),set_union2(esk19_0,X1))),set_union2(esk19_0,X1)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463]) ).
cnf(i_0_849,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_850,plain,
~ disjoint(set_union2(esk19_0,X1),esk2_1(unordered_pair(set_union2(esk19_0,X1),set_union2(esk19_0,X1)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464]) ).
cnf(i_0_851,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_852,plain,
~ in(esk20_0,esk2_1(unordered_pair(esk18_0,esk18_0))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_851,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464,i_0_459]) ).
cnf(i_0_853,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_854,plain,
~ proper_subset(set_difference(X1,set_difference(X1,X1)),esk2_1(unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_851,i_0_853,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_670,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464,i_0_459,i_0_468]) ).
cnf(i_0_855,plain,
~ proper_subset(set_difference(X1,set_difference(X1,X1)),X1),
inference(rename_variables,[],[i_0_670]) ).
cnf(i_0_856,plain,
~ subset(esk19_0,esk2_1(unordered_pair(esk18_0,esk18_0))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_851,i_0_853,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_670,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464,i_0_459,i_0_468,i_0_462]) ).
cnf(i_0_857,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_858,plain,
~ proper_subset(esk2_1(unordered_pair(X1,X1)),set_difference(X1,set_difference(X1,X1))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_851,i_0_853,i_0_857,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_702,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_670,i_0_672,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464,i_0_459,i_0_468,i_0_462,i_0_467]) ).
cnf(i_0_859,plain,
~ proper_subset(X1,set_difference(X1,set_difference(X1,X1))),
inference(rename_variables,[],[i_0_672]) ).
cnf(i_0_860,plain,
esk2_1(unordered_pair(X1,X1)) = set_difference(X1,empty_set),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_851,i_0_853,i_0_857,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_702,i_0_652,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_670,i_0_672,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464,i_0_459,i_0_468,i_0_462,i_0_467,i_0_439]) ).
cnf(i_0_861,plain,
X1 = set_difference(X1,empty_set),
inference(rename_variables,[],[i_0_652]) ).
cnf(i_0_862,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_851,i_0_853,i_0_857,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_496,i_0_702,i_0_652,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_670,i_0_672,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464,i_0_459,i_0_468,i_0_462,i_0_467,i_0_439,i_0_287]) ).
cnf(i_0_863,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_864,plain,
( X1 = unordered_pair(X2,X3)
| in(esk4_3(X2,X3,X1),X1)
| esk4_3(X2,X3,X1) = X2
| esk4_3(X2,X3,X1) = X3 ),
inference(rename_variables,[],[i_0_287]) ).
cnf(i_0_865,plain,
in(esk20_0,set_difference(set_union2(esk19_0,set_difference(esk19_0,esk19_0)),set_difference(esk19_0,esk19_0))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_851,i_0_853,i_0_857,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_496,i_0_702,i_0_652,i_0_364,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_670,i_0_672,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464,i_0_459,i_0_468,i_0_462,i_0_467,i_0_439,i_0_287,i_0_304]) ).
cnf(i_0_866,plain,
set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
inference(rename_variables,[],[i_0_364]) ).
cnf(i_0_867,plain,
( X1 != set_difference(X2,set_difference(X2,X3))
| ~ in(X4,X3)
| ~ in(X4,X2)
| in(X4,X1) ),
inference(rename_variables,[],[i_0_304]) ).
cnf(i_0_868,plain,
~ in(esk20_0,esk2_1(unordered_pair(set_union2(esk18_0,esk18_0),set_union2(esk18_0,esk18_0)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_851,i_0_853,i_0_857,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_496,i_0_702,i_0_652,i_0_364,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_670,i_0_672,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464,i_0_459,i_0_468,i_0_462,i_0_467,i_0_439,i_0_287,i_0_304,i_0_333]) ).
cnf(i_0_869,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_870,plain,
( X1 != set_union2(X2,X3)
| in(X4,X2)
| in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_333]) ).
cnf(i_0_871,plain,
in(esk20_0,set_union2(union(powerset(esk19_0)),empty_set)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_804,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_851,i_0_853,i_0_857,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_496,i_0_702,i_0_652,i_0_364,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_670,i_0_672,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_823,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464,i_0_459,i_0_468,i_0_462,i_0_467,i_0_439,i_0_287,i_0_304,i_0_333,i_0_341]) ).
cnf(i_0_872,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_428]) ).
cnf(i_0_873,plain,
in(X1,powerset(X1)),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_874,plain,
( X1 != union(X2)
| in(X3,X1)
| ~ in(X3,X4)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_341]) ).
cnf(i_0_875,plain,
in(esk20_0,set_union2(set_difference(esk19_0,esk18_0),empty_set)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_804,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_851,i_0_853,i_0_857,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_496,i_0_702,i_0_652,i_0_364,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_670,i_0_672,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_823,i_0_872,i_0_436,i_0_429,i_0_415,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464,i_0_459,i_0_468,i_0_462,i_0_467,i_0_439,i_0_287,i_0_304,i_0_333,i_0_341,i_0_334]) ).
cnf(i_0_876,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_428]) ).
cnf(i_0_877,plain,
( X1 != set_difference(X2,X3)
| in(X4,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_334]) ).
cnf(i_0_878,plain,
~ in(unordered_pair(X1,X1),powerset(empty_set)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_804,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_851,i_0_853,i_0_857,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_496,i_0_702,i_0_652,i_0_364,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_670,i_0_672,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_823,i_0_872,i_0_436,i_0_426,i_0_429,i_0_415,i_0_411,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464,i_0_459,i_0_468,i_0_462,i_0_467,i_0_439,i_0_287,i_0_304,i_0_333,i_0_341,i_0_334,i_0_368]) ).
cnf(i_0_879,plain,
( X1 != unordered_pair(X2,X3)
| X4 = X2
| X4 = X3
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_368]) ).
cnf(i_0_880,plain,
in(unordered_pair(unordered_pair(esk20_0,esk20_0),unordered_pair(esk20_0,esk20_0)),esk2_1(unordered_pair(cartesian_product2(esk19_0,esk19_0),cartesian_product2(esk19_0,esk19_0)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_804,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_851,i_0_853,i_0_857,i_0_869,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_496,i_0_702,i_0_652,i_0_364,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_670,i_0_672,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_823,i_0_872,i_0_436,i_0_426,i_0_429,i_0_407,i_0_415,i_0_411,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464,i_0_459,i_0_468,i_0_462,i_0_467,i_0_439,i_0_287,i_0_304,i_0_333,i_0_341,i_0_334,i_0_368,i_0_294]) ).
cnf(i_0_881,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_407]) ).
cnf(i_0_882,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_632]) ).
cnf(i_0_883,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_294]) ).
cnf(i_0_884,plain,
( ~ subset(set_difference(esk18_0,set_difference(esk18_0,esk18_0)),esk2_1(unordered_pair(esk18_0,esk18_0)))
| set_difference(esk18_0,set_difference(esk18_0,esk18_0)) = esk2_1(unordered_pair(esk18_0,esk18_0)) ),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_804,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_851,i_0_853,i_0_857,i_0_869,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_496,i_0_702,i_0_652,i_0_364,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_670,i_0_672,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_823,i_0_872,i_0_436,i_0_426,i_0_429,i_0_407,i_0_415,i_0_411,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464,i_0_459,i_0_468,i_0_462,i_0_467,i_0_439,i_0_287,i_0_304,i_0_333,i_0_341,i_0_334,i_0_368,i_0_294,i_0_391]) ).
cnf(i_0_885,plain,
( proper_subset(X1,X2)
| ~ subset(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_391]) ).
cnf(i_0_886,plain,
~ subset(unordered_pair(X1,X1),cartesian_product2(X2,empty_set)),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_804,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_851,i_0_853,i_0_857,i_0_869,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_496,i_0_702,i_0_652,i_0_364,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_670,i_0_672,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_823,i_0_872,i_0_436,i_0_426,i_0_429,i_0_407,i_0_415,i_0_411,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464,i_0_459,i_0_468,i_0_462,i_0_467,i_0_439,i_0_287,i_0_304,i_0_333,i_0_341,i_0_334,i_0_368,i_0_294,i_0_391,i_0_299]) ).
cnf(i_0_887,plain,
( subset(X1,set_difference(X2,set_difference(X2,X3)))
| ~ subset(X1,X3)
| ~ subset(X1,X2) ),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_888,plain,
~ in(esk20_0,set_difference(set_difference(esk19_0,set_difference(esk19_0,esk19_0)),set_difference(esk19_0,set_difference(esk19_0,esk19_0)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_804,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_851,i_0_853,i_0_857,i_0_869,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_496,i_0_702,i_0_652,i_0_364,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_670,i_0_672,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_823,i_0_872,i_0_436,i_0_426,i_0_429,i_0_407,i_0_415,i_0_411,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464,i_0_459,i_0_468,i_0_462,i_0_467,i_0_439,i_0_287,i_0_304,i_0_333,i_0_341,i_0_334,i_0_368,i_0_294,i_0_391,i_0_299,i_0_342]) ).
cnf(i_0_889,plain,
( ~ disjoint(X1,X2)
| ~ in(X3,X1)
| ~ in(X3,X2) ),
inference(rename_variables,[],[i_0_342]) ).
cnf(i_0_890,plain,
( ~ in(X1,esk4_3(union(X2),union(X2),empty_set))
| in(X1,esk13_3(X2,esk4_3(union(X2),union(X2),empty_set),X1)) ),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_625,i_0_796,i_0_533,i_0_804,i_0_612,i_0_632,i_0_723,i_0_751,i_0_777,i_0_780,i_0_783,i_0_786,i_0_792,i_0_840,i_0_842,i_0_844,i_0_847,i_0_849,i_0_851,i_0_853,i_0_857,i_0_869,i_0_687,i_0_690,i_0_571,i_0_575,i_0_598,i_0_531,i_0_512,i_0_726,i_0_729,i_0_732,i_0_758,i_0_515,i_0_677,i_0_636,i_0_638,i_0_496,i_0_702,i_0_652,i_0_364,i_0_325,i_0_537,i_0_552,i_0_712,i_0_566,i_0_795,i_0_564,i_0_715,i_0_718,i_0_670,i_0_672,i_0_663,i_0_556,i_0_547,i_0_812,i_0_694,i_0_428,i_0_820,i_0_823,i_0_872,i_0_436,i_0_426,i_0_429,i_0_407,i_0_415,i_0_411,i_0_317,i_0_330,i_0_331,i_0_378,i_0_409,i_0_472,i_0_473,i_0_476,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_493,i_0_361,i_0_362,i_0_413,i_0_418,i_0_396,i_0_300,i_0_360,i_0_438,i_0_340,i_0_352,i_0_353,i_0_354,i_0_357,i_0_374,i_0_386,i_0_387,i_0_402,i_0_481,i_0_483,i_0_487,i_0_311,i_0_405,i_0_310,i_0_384,i_0_385,i_0_356,i_0_371,i_0_480,i_0_355,i_0_478,i_0_458,i_0_469,i_0_470,i_0_460,i_0_461,i_0_463,i_0_464,i_0_459,i_0_468,i_0_462,i_0_467,i_0_439,i_0_287,i_0_304,i_0_333,i_0_341,i_0_334,i_0_368,i_0_294,i_0_391,i_0_299,i_0_342,i_0_298]) ).
cnf(i_0_891,plain,
( X1 != union(X2)
| in(X3,esk13_3(X2,X1,X3))
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_298]) ).
cnf(i_0_892,plain,
in(X1,esk2_1(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)))),
inference(scs_inference,[],[i_0_753,i_0_330]) ).
cnf(i_0_893,plain,
subset(X1,esk2_1(unordered_pair(X1,X1))),
inference(rename_variables,[],[i_0_753]) ).
cnf(i_0_894,plain,
( ~ subset(unordered_pair(X1,X2),X3)
| in(X1,X3) ),
inference(rename_variables,[],[i_0_330]) ).
cnf(i_0_895,plain,
in(X1,esk2_1(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X1)))),
inference(scs_inference,[],[i_0_753,i_0_893,i_0_330,i_0_331]) ).
cnf(i_0_896,plain,
subset(X1,esk2_1(unordered_pair(X1,X1))),
inference(rename_variables,[],[i_0_753]) ).
cnf(i_0_897,plain,
( ~ subset(unordered_pair(X1,X2),X3)
| in(X2,X3) ),
inference(rename_variables,[],[i_0_331]) ).
cnf(i_0_898,plain,
~ in(X1,esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_809,i_0_753,i_0_893,i_0_330,i_0_331,i_0_409]) ).
cnf(i_0_899,plain,
esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_809]) ).
cnf(i_0_900,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_409]) ).
cnf(i_0_901,plain,
~ in(X1,union(esk2_1(unordered_pair(empty_set,empty_set)))),
inference(scs_inference,[],[i_0_722,i_0_809,i_0_753,i_0_893,i_0_330,i_0_331,i_0_409,i_0_476]) ).
cnf(i_0_902,plain,
~ in(X1,esk2_1(unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_903,plain,
( in(esk13_3(X1,union(X1),X2),X1)
| ~ in(X2,union(X1)) ),
inference(rename_variables,[],[i_0_476]) ).
cnf(i_0_904,plain,
~ in(empty_set,unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_722,i_0_809,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488]) ).
cnf(i_0_905,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_488]) ).
cnf(i_0_906,plain,
~ disjoint(unordered_pair(X1,X2),unordered_pair(X1,X2)),
inference(scs_inference,[],[i_0_714,i_0_722,i_0_809,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295]) ).
cnf(i_0_907,plain,
( ~ in(X1,set_difference(X2,set_difference(X2,X3)))
| ~ disjoint(X2,X3) ),
inference(rename_variables,[],[i_0_295]) ).
cnf(i_0_908,plain,
in(esk29_2(X1,esk29_2(X1,esk29_2(X1,X1))),esk28_1(X1)),
inference(scs_inference,[],[i_0_714,i_0_722,i_0_809,i_0_748,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326]) ).
cnf(i_0_909,plain,
( ~ in(X1,esk28_1(X2))
| in(esk29_2(X2,X1),esk28_1(X2)) ),
inference(rename_variables,[],[i_0_326]) ).
cnf(i_0_910,plain,
subset(esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(empty_set,empty_set)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_714,i_0_722,i_0_809,i_0_899,i_0_748,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382]) ).
cnf(i_0_911,plain,
esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_809]) ).
cnf(i_0_912,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_382]) ).
cnf(i_0_913,plain,
subset(X1,esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_714,i_0_722,i_0_809,i_0_899,i_0_911,i_0_748,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419]) ).
cnf(i_0_914,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_419]) ).
cnf(i_0_915,plain,
~ in(unordered_pair(X1,X1),esk17_1(unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_798,i_0_714,i_0_722,i_0_809,i_0_899,i_0_911,i_0_748,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378]) ).
cnf(i_0_916,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_378]) ).
cnf(i_0_917,plain,
~ in(esk19_0,set_difference(X1,set_difference(X1,esk20_0))),
inference(scs_inference,[],[i_0_798,i_0_714,i_0_722,i_0_809,i_0_899,i_0_911,i_0_505,i_0_748,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479]) ).
cnf(i_0_918,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_479]) ).
cnf(i_0_919,plain,
~ in(esk17_1(unordered_pair(X1,X1)),set_difference(X2,unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_798,i_0_714,i_0_722,i_0_809,i_0_899,i_0_911,i_0_505,i_0_748,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482]) ).
cnf(i_0_920,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_482]) ).
cnf(i_0_921,plain,
~ in(X1,set_difference(set_difference(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_809,i_0_899,i_0_911,i_0_505,i_0_748,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484]) ).
cnf(i_0_922,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_484]) ).
cnf(i_0_923,plain,
in(esk17_1(unordered_pair(X1,X1)),set_union2(unordered_pair(X1,X1),X2)),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_809,i_0_899,i_0_911,i_0_505,i_0_748,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485]) ).
cnf(i_0_924,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_485]) ).
cnf(i_0_925,plain,
in(esk17_1(unordered_pair(X1,X1)),set_union2(X2,unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_809,i_0_899,i_0_911,i_0_505,i_0_748,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486]) ).
cnf(i_0_926,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_486]) ).
cnf(i_0_927,plain,
in(set_difference(X1,set_difference(X1,X2)),powerset(set_difference(X2,set_difference(X2,X1)))),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_809,i_0_899,i_0_911,i_0_505,i_0_748,i_0_562,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493]) ).
cnf(i_0_928,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_493]) ).
cnf(i_0_929,plain,
subset(esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(X1,X1)),X1),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_809,i_0_899,i_0_911,i_0_505,i_0_748,i_0_562,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418]) ).
cnf(i_0_930,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_418]) ).
cnf(i_0_931,plain,
~ in(X1,cartesian_product2(X2,esk2_1(unordered_pair(empty_set,empty_set)))),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_902,i_0_809,i_0_899,i_0_911,i_0_505,i_0_748,i_0_562,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472]) ).
cnf(i_0_932,plain,
~ in(X1,esk2_1(unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_933,plain,
( in(esk7_4(X1,X2,cartesian_product2(X1,X2),X3),X2)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(rename_variables,[],[i_0_472]) ).
cnf(i_0_934,plain,
~ in(X1,cartesian_product2(esk2_1(unordered_pair(empty_set,empty_set)),X2)),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_902,i_0_932,i_0_809,i_0_899,i_0_911,i_0_505,i_0_748,i_0_562,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473]) ).
cnf(i_0_935,plain,
~ in(X1,esk2_1(unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_936,plain,
( in(esk6_4(X1,X2,cartesian_product2(X1,X2),X3),X1)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(rename_variables,[],[i_0_473]) ).
cnf(i_0_937,plain,
disjoint(X1,esk2_1(unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_809,i_0_899,i_0_911,i_0_505,i_0_748,i_0_562,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361]) ).
cnf(i_0_938,plain,
~ in(X1,esk2_1(unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_939,plain,
( in(esk26_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_361]) ).
cnf(i_0_940,plain,
subset(esk2_1(unordered_pair(empty_set,empty_set)),X1),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_809,i_0_899,i_0_911,i_0_505,i_0_748,i_0_562,i_0_753,i_0_893,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362]) ).
cnf(i_0_941,plain,
~ in(X1,esk2_1(unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_942,plain,
( in(esk11_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_362]) ).
cnf(i_0_943,plain,
disjoint(set_difference(set_difference(X1,set_difference(X1,X1)),set_difference(X1,set_difference(X1,X1))),X1),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_809,i_0_899,i_0_911,i_0_505,i_0_748,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396]) ).
cnf(i_0_944,plain,
( ~ disjoint(X1,X2)
| disjoint(X2,X1) ),
inference(rename_variables,[],[i_0_396]) ).
cnf(i_0_945,plain,
disjoint(esk2_1(unordered_pair(empty_set,empty_set)),X1),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_809,i_0_899,i_0_911,i_0_505,i_0_748,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360]) ).
cnf(i_0_946,plain,
~ in(X1,esk2_1(unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_947,plain,
( in(esk26_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_360]) ).
cnf(i_0_948,plain,
disjoint(union(empty_set),union(empty_set)),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_809,i_0_899,i_0_911,i_0_579,i_0_505,i_0_748,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360,i_0_300]) ).
cnf(i_0_949,plain,
~ in(X1,set_difference(union(empty_set),set_difference(union(empty_set),union(empty_set)))),
inference(rename_variables,[],[i_0_579]) ).
cnf(i_0_950,plain,
( in(esk27_2(X1,X2),set_difference(X1,set_difference(X1,X2)))
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_951,plain,
X1 = esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_809,i_0_899,i_0_911,i_0_579,i_0_505,i_0_748,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360,i_0_300,i_0_438]) ).
cnf(i_0_952,plain,
esk2_1(unordered_pair(empty_set,empty_set)) = cartesian_product2(X1,cartesian_product2(X2,cartesian_product2(X3,empty_set))),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_946,i_0_725,i_0_809,i_0_899,i_0_911,i_0_579,i_0_505,i_0_748,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360,i_0_300,i_0_438,i_0_285]) ).
cnf(i_0_953,plain,
~ in(X1,esk2_1(unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_954,plain,
~ in(X1,cartesian_product2(X2,cartesian_product2(X3,empty_set))),
inference(rename_variables,[],[i_0_725]) ).
cnf(i_0_955,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_285]) ).
cnf(i_0_956,plain,
esk2_1(unordered_pair(empty_set,empty_set)) = cartesian_product2(cartesian_product2(X1,cartesian_product2(X2,empty_set)),X3),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_946,i_0_953,i_0_725,i_0_954,i_0_809,i_0_899,i_0_911,i_0_579,i_0_505,i_0_748,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360,i_0_300,i_0_438,i_0_285,i_0_286]) ).
cnf(i_0_957,plain,
~ in(X1,esk2_1(unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_958,plain,
~ in(X1,cartesian_product2(X2,cartesian_product2(X3,empty_set))),
inference(rename_variables,[],[i_0_725]) ).
cnf(i_0_959,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_286]) ).
cnf(i_0_960,plain,
esk2_1(unordered_pair(empty_set,empty_set)) = union(cartesian_product2(X1,cartesian_product2(X2,empty_set))),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_946,i_0_953,i_0_957,i_0_725,i_0_954,i_0_958,i_0_809,i_0_899,i_0_911,i_0_579,i_0_505,i_0_748,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360,i_0_300,i_0_438,i_0_285,i_0_286,i_0_318]) ).
cnf(i_0_961,plain,
~ in(X1,esk2_1(unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_962,plain,
~ in(X1,cartesian_product2(X2,cartesian_product2(X3,empty_set))),
inference(rename_variables,[],[i_0_725]) ).
cnf(i_0_963,plain,
( in(esk14_2(X1,X2),X2)
| X2 = union(X1)
| in(esk15_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_318]) ).
cnf(i_0_964,plain,
cartesian_product2(X1,cartesian_product2(X2,empty_set)) = esk2_1(unordered_pair(empty_set,empty_set)),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_946,i_0_953,i_0_957,i_0_961,i_0_725,i_0_954,i_0_958,i_0_962,i_0_809,i_0_899,i_0_911,i_0_579,i_0_505,i_0_748,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360,i_0_300,i_0_438,i_0_285,i_0_286,i_0_318,i_0_322]) ).
cnf(i_0_965,plain,
~ in(X1,cartesian_product2(X2,cartesian_product2(X3,empty_set))),
inference(rename_variables,[],[i_0_725]) ).
cnf(i_0_966,plain,
~ in(X1,esk2_1(unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_967,plain,
( in(esk25_2(X1,X2),X1)
| in(esk25_2(X1,X2),X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_322]) ).
cnf(i_0_968,plain,
esk17_1(unordered_pair(X1,X1)) = X1,
inference(scs_inference,[],[i_0_798,i_0_711,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_946,i_0_953,i_0_957,i_0_961,i_0_725,i_0_954,i_0_958,i_0_962,i_0_809,i_0_899,i_0_911,i_0_579,i_0_505,i_0_748,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_407,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360,i_0_300,i_0_438,i_0_285,i_0_286,i_0_318,i_0_322,i_0_369]) ).
cnf(i_0_969,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_407]) ).
cnf(i_0_970,plain,
( X1 != unordered_pair(X2,X2)
| ~ in(X3,X1)
| X3 = X2 ),
inference(rename_variables,[],[i_0_369]) ).
cnf(i_0_971,plain,
~ subset(unordered_pair(powerset(X1),X2),X1),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_720,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_946,i_0_953,i_0_957,i_0_961,i_0_725,i_0_954,i_0_958,i_0_962,i_0_809,i_0_899,i_0_911,i_0_579,i_0_505,i_0_388,i_0_748,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_407,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360,i_0_300,i_0_438,i_0_285,i_0_286,i_0_318,i_0_322,i_0_369,i_0_375]) ).
cnf(i_0_972,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_388]) ).
cnf(i_0_973,plain,
~ in(unordered_pair(X1,X2),set_difference(X1,set_difference(X1,X1))),
inference(rename_variables,[],[i_0_720]) ).
cnf(i_0_974,plain,
( X1 != powerset(X2)
| in(X3,X1)
| ~ subset(X3,X2) ),
inference(rename_variables,[],[i_0_375]) ).
cnf(i_0_975,plain,
~ subset(unordered_pair(X1,X2),cartesian_product2(X3,empty_set)),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_720,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_946,i_0_953,i_0_957,i_0_961,i_0_725,i_0_954,i_0_958,i_0_962,i_0_788,i_0_809,i_0_899,i_0_911,i_0_579,i_0_505,i_0_388,i_0_748,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_407,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360,i_0_300,i_0_438,i_0_285,i_0_286,i_0_318,i_0_322,i_0_369,i_0_375,i_0_299]) ).
cnf(i_0_976,plain,
( subset(X1,set_difference(X2,set_difference(X2,X3)))
| ~ subset(X1,X3)
| ~ subset(X1,X2) ),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_977,plain,
esk2_1(unordered_pair(empty_set,empty_set)) = set_difference(empty_set,set_difference(empty_set,empty_set)),
inference(scs_inference,[],[i_0_798,i_0_711,i_0_720,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_946,i_0_953,i_0_957,i_0_961,i_0_725,i_0_954,i_0_958,i_0_962,i_0_788,i_0_809,i_0_899,i_0_911,i_0_579,i_0_505,i_0_388,i_0_748,i_0_858,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_407,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360,i_0_300,i_0_438,i_0_285,i_0_286,i_0_318,i_0_322,i_0_369,i_0_375,i_0_299,i_0_391]) ).
cnf(i_0_978,plain,
~ proper_subset(esk2_1(unordered_pair(X1,X1)),set_difference(X1,set_difference(X1,X1))),
inference(rename_variables,[],[i_0_858]) ).
cnf(i_0_979,plain,
( proper_subset(X1,X2)
| ~ subset(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_391]) ).
cnf(i_0_980,plain,
~ in(esk20_0,esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(set_difference(X1,esk19_0),set_difference(X1,esk19_0)))),
inference(scs_inference,[],[i_0_431,i_0_798,i_0_711,i_0_720,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_946,i_0_953,i_0_957,i_0_961,i_0_725,i_0_954,i_0_958,i_0_962,i_0_788,i_0_809,i_0_899,i_0_911,i_0_579,i_0_505,i_0_388,i_0_748,i_0_858,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_407,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360,i_0_300,i_0_438,i_0_285,i_0_286,i_0_318,i_0_322,i_0_369,i_0_375,i_0_299,i_0_391,i_0_340]) ).
cnf(i_0_981,plain,
esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_809]) ).
cnf(i_0_982,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_340]) ).
cnf(i_0_983,plain,
~ in(esk20_0,esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(set_difference(esk18_0,X1),set_difference(esk18_0,X1)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_798,i_0_711,i_0_720,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_946,i_0_953,i_0_957,i_0_961,i_0_725,i_0_954,i_0_958,i_0_962,i_0_788,i_0_809,i_0_899,i_0_911,i_0_981,i_0_579,i_0_505,i_0_388,i_0_748,i_0_858,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_407,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360,i_0_300,i_0_438,i_0_285,i_0_286,i_0_318,i_0_322,i_0_369,i_0_375,i_0_299,i_0_391,i_0_340,i_0_352]) ).
cnf(i_0_984,plain,
esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_809]) ).
cnf(i_0_985,plain,
( X1 != set_difference(X2,X3)
| in(X4,X2)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_352]) ).
cnf(i_0_986,plain,
in(esk20_0,esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(set_union2(esk19_0,X1),set_union2(esk19_0,X1)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_798,i_0_711,i_0_720,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_946,i_0_953,i_0_957,i_0_961,i_0_725,i_0_954,i_0_958,i_0_962,i_0_788,i_0_809,i_0_899,i_0_911,i_0_981,i_0_984,i_0_579,i_0_505,i_0_388,i_0_748,i_0_858,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_407,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360,i_0_300,i_0_438,i_0_285,i_0_286,i_0_318,i_0_322,i_0_369,i_0_375,i_0_299,i_0_391,i_0_340,i_0_352,i_0_353]) ).
cnf(i_0_987,plain,
esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_809]) ).
cnf(i_0_988,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_353]) ).
cnf(i_0_989,plain,
in(esk20_0,esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(set_union2(X1,esk19_0),set_union2(X1,esk19_0)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_798,i_0_711,i_0_720,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_946,i_0_953,i_0_957,i_0_961,i_0_725,i_0_954,i_0_958,i_0_962,i_0_788,i_0_809,i_0_899,i_0_911,i_0_981,i_0_984,i_0_987,i_0_579,i_0_505,i_0_388,i_0_748,i_0_858,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_407,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360,i_0_300,i_0_438,i_0_285,i_0_286,i_0_318,i_0_322,i_0_369,i_0_375,i_0_299,i_0_391,i_0_340,i_0_352,i_0_353,i_0_354]) ).
cnf(i_0_990,plain,
esk16_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_809]) ).
cnf(i_0_991,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X3) ),
inference(rename_variables,[],[i_0_354]) ).
cnf(i_0_992,plain,
element(X1,powerset(set_difference(X1,set_difference(X1,X1)))),
inference(scs_inference,[],[i_0_420,i_0_431,i_0_798,i_0_711,i_0_720,i_0_755,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_946,i_0_953,i_0_957,i_0_961,i_0_725,i_0_954,i_0_958,i_0_962,i_0_788,i_0_809,i_0_899,i_0_911,i_0_981,i_0_984,i_0_987,i_0_579,i_0_505,i_0_388,i_0_748,i_0_858,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_421,i_0_407,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360,i_0_300,i_0_438,i_0_285,i_0_286,i_0_318,i_0_322,i_0_369,i_0_375,i_0_299,i_0_391,i_0_340,i_0_352,i_0_353,i_0_354,i_0_386]) ).
cnf(i_0_993,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_421]) ).
cnf(i_0_994,plain,
( empty(X1)
| ~ in(X2,X1)
| element(X2,X1) ),
inference(rename_variables,[],[i_0_386]) ).
cnf(i_0_995,plain,
$false,
inference(scs_inference,[],[i_0_420,i_0_423,i_0_431,i_0_798,i_0_711,i_0_720,i_0_755,i_0_714,i_0_722,i_0_902,i_0_932,i_0_935,i_0_938,i_0_941,i_0_946,i_0_953,i_0_957,i_0_961,i_0_725,i_0_954,i_0_958,i_0_962,i_0_788,i_0_809,i_0_899,i_0_911,i_0_981,i_0_984,i_0_987,i_0_579,i_0_505,i_0_623,i_0_388,i_0_748,i_0_858,i_0_562,i_0_753,i_0_893,i_0_834,i_0_845,i_0_421,i_0_993,i_0_407,i_0_330,i_0_331,i_0_409,i_0_476,i_0_488,i_0_295,i_0_326,i_0_382,i_0_419,i_0_378,i_0_479,i_0_482,i_0_484,i_0_485,i_0_486,i_0_493,i_0_418,i_0_472,i_0_473,i_0_361,i_0_362,i_0_396,i_0_360,i_0_300,i_0_438,i_0_285,i_0_286,i_0_318,i_0_322,i_0_369,i_0_375,i_0_299,i_0_391,i_0_340,i_0_352,i_0_353,i_0_354,i_0_386,i_0_387]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU169+2 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n004.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 02:46:47 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 0.55/1.61 % Version : CSE_E---1.7
% 0.55/1.61 % Problem : theBenchmark.p
% 0.55/1.61 % SZS status Theorem for theBenchmark.p
% 0.55/1.61 % SZS output start CNFRefutation
% See solution above
% 3.24/4.31 % Total time : 1.273s
%------------------------------------------------------------------------------