%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU147+2 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : 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 05:10:47 PM UTC 2026
% Result : Theorem 5.96s 5.62s
% Output : CNFRefutation 9.85s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_92)
% Comments :
%------------------------------------------------------------------------------
fof(t4_xboole_0,lemma,
! [X1,X2] :
( ~ ( ~ disjoint(X1,X2)
& ! [X3] : ~ in(X3,set_intersection2(X1,X2)) )
& ~ ( ? [X3] : in(X3,set_intersection2(X1,X2))
& disjoint(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_intersection2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& in(X4,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(t48_xboole_1,lemma,
! [X1,X2] : set_difference(X1,set_difference(X1,X2)) = set_intersection2(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(d4_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_difference(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& ~ in(X4,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(t26_xboole_1,lemma,
! [X1,X2,X3] :
( subset(X1,X2)
=> subset(set_intersection2(X1,X3),set_intersection2(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_xboole_1) ).
fof(t19_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X2)
& subset(X1,X3) )
=> subset(X1,set_intersection2(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(l3_zfmisc_1,lemma,
! [X1,X2,X3] :
( subset(X1,X2)
=> ( in(X3,X1)
| subset(X1,set_difference(X2,singleton(X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_zfmisc_1) ).
fof(t69_enumset1,lemma,
! [X1] : unordered_pair(X1,X1) = singleton(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = singleton(X1)
<=> ! [X3] :
( in(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(t17_xboole_1,lemma,
! [X1,X2] : subset(set_intersection2(X1,X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(l4_zfmisc_1,lemma,
! [X1,X2] :
( subset(X1,singleton(X2))
<=> ( X1 = empty_set
| X1 = singleton(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_zfmisc_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(l2_zfmisc_1,lemma,
! [X1,X2] :
( subset(singleton(X1),X2)
<=> in(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(d7_xboole_0,axiom,
! [X1,X2] :
( disjoint(X1,X2)
<=> set_intersection2(X1,X2) = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).
fof(t3_xboole_0,lemma,
! [X1,X2] :
( ~ ( ~ disjoint(X1,X2)
& ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) ) )
& ~ ( ? [X3] :
( in(X3,X1)
& in(X3,X2) )
& disjoint(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_0) ).
fof(t28_xboole_1,lemma,
! [X1,X2] :
( subset(X1,X2)
=> set_intersection2(X1,X2) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_xboole_1) ).
fof(fc2_xboole_0,axiom,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_xboole_0) ).
fof(fc3_xboole_0,axiom,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_xboole_0) ).
fof(antisymmetry_r2_xboole_0,axiom,
! [X1,X2] :
( proper_subset(X1,X2)
=> ~ proper_subset(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_xboole_0) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(idempotence_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(t2_boole,axiom,
! [X1] : set_intersection2(X1,empty_set) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(irreflexivity_r2_xboole_0,axiom,
! [X1,X2] : ~ proper_subset(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_r2_xboole_0) ).
fof(l1_zfmisc_1,lemma,
! [X1] : singleton(X1) != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_zfmisc_1) ).
fof(t1_zfmisc_1,conjecture,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_zfmisc_1) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ empty(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(d2_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_union2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
| in(X4,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(d2_tarski,axiom,
! [X1,X2,X3] :
( X3 = unordered_pair(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( X4 = X1
| X4 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
fof(d1_zfmisc_1,axiom,
! [X1,X2] :
( X2 = powerset(X1)
<=> ! [X3] :
( in(X3,X2)
<=> subset(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
<=> in(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(t33_xboole_1,lemma,
! [X1,X2,X3] :
( subset(X1,X2)
=> subset(set_difference(X1,X3),set_difference(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_xboole_1) ).
fof(t8_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X2)
& subset(X3,X2) )
=> subset(set_union2(X1,X3),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(t45_xboole_1,lemma,
! [X1,X2] :
( subset(X1,X2)
=> X2 = set_union2(X1,set_difference(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_xboole_1) ).
fof(t63_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X2)
& disjoint(X2,X3) )
=> disjoint(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_xboole_1) ).
fof(t1_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X2)
& subset(X2,X3) )
=> subset(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(t40_xboole_1,lemma,
! [X1,X2] : set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_xboole_1) ).
fof(t39_xboole_1,lemma,
! [X1,X2] : set_union2(X1,set_difference(X2,X1)) = set_union2(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(t60_xboole_1,lemma,
! [X1,X2] :
~ ( subset(X1,X2)
& proper_subset(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_xboole_1) ).
fof(t36_xboole_1,lemma,
! [X1,X2] : subset(set_difference(X1,X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_xboole_1) ).
fof(t7_xboole_1,lemma,
! [X1,X2] : subset(X1,set_union2(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(d8_xboole_0,axiom,
! [X1,X2] :
( proper_subset(X1,X2)
<=> ( subset(X1,X2)
& X1 != X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_xboole_0) ).
fof(t83_xboole_1,lemma,
! [X1,X2] :
( disjoint(X1,X2)
<=> set_difference(X1,X2) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_xboole_1) ).
fof(t12_xboole_1,lemma,
! [X1,X2] :
( subset(X1,X2)
=> set_union2(X1,X2) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(symmetry_r1_xboole_0,axiom,
! [X1,X2] :
( disjoint(X1,X2)
=> disjoint(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(t37_xboole_1,lemma,
! [X1,X2] :
( set_difference(X1,X2) = empty_set
<=> subset(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
fof(l32_xboole_1,lemma,
! [X1,X2] :
( set_difference(X1,X2) = empty_set
<=> subset(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l32_xboole_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(commutativity_k2_xboole_0,axiom,
! [X1,X2] : set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(t3_xboole_1,lemma,
! [X1] :
( subset(X1,empty_set)
=> X1 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(idempotence_k2_xboole_0,axiom,
! [X1,X2] : set_union2(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(t3_boole,axiom,
! [X1] : set_difference(X1,empty_set) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).
fof(t1_boole,axiom,
! [X1] : set_union2(X1,empty_set) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_boole) ).
fof(t2_xboole_1,lemma,
! [X1] : subset(empty_set,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(t4_boole,axiom,
! [X1] : set_difference(empty_set,X1) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_63,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_64,plain,
! [X193,X194,X195,X196,X197,X198,X199,X200] :
( ( in(X196,X193)
| ~ in(X196,X195)
| X195 != set_intersection2(X193,X194) )
& ( in(X196,X194)
| ~ in(X196,X195)
| X195 != set_intersection2(X193,X194) )
& ( ~ in(X197,X193)
| ~ in(X197,X194)
| in(X197,X195)
| X195 != set_intersection2(X193,X194) )
& ( ~ in(esk7_3(X198,X199,X200),X200)
| ~ in(esk7_3(X198,X199,X200),X198)
| ~ in(esk7_3(X198,X199,X200),X199)
| X200 = set_intersection2(X198,X199) )
& ( in(esk7_3(X198,X199,X200),X198)
| in(esk7_3(X198,X199,X200),X200)
| X200 = set_intersection2(X198,X199) )
& ( in(esk7_3(X198,X199,X200),X199)
| in(esk7_3(X198,X199,X200),X200)
| X200 = set_intersection2(X198,X199) ) ),
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_65,lemma,
! [X279,X280] : set_difference(X279,set_difference(X279,X280)) = set_intersection2(X279,X280),
inference(variable_rename,[status(thm)],[t48_xboole_1]) ).
fof(i_0_66,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_67,lemma,
! [X248,X249,X250] :
( ~ subset(X248,X249)
| subset(set_intersection2(X248,X250),set_intersection2(X249,X250)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t26_xboole_1])]) ).
fof(i_0_68,lemma,
! [X282,X283,X285,X286,X287] :
( ( disjoint(X282,X283)
| in(esk13_2(X282,X283),set_intersection2(X282,X283)) )
& ( ~ in(X287,set_intersection2(X285,X286))
| ~ disjoint(X285,X286) ) ),
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_63])])])])]) ).
fof(i_0_69,lemma,
! [X241,X242,X243] :
( ~ subset(X241,X242)
| ~ subset(X241,X243)
| subset(X241,set_intersection2(X242,X243)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_xboole_1])]) ).
fof(i_0_70,lemma,
! [X227,X228,X229] :
( ~ subset(X227,X228)
| in(X229,X227)
| subset(X227,set_difference(X228,singleton(X229))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l3_zfmisc_1])]) ).
fof(i_0_71,lemma,
! [X293] : unordered_pair(X293,X293) = singleton(X293),
inference(variable_rename,[status(thm)],[t69_enumset1]) ).
fof(i_0_72,plain,
! [X151,X152,X153,X154,X155,X156] :
( ( ~ in(X153,X152)
| X153 = X151
| X152 != singleton(X151) )
& ( X154 != X151
| in(X154,X152)
| X152 != singleton(X151) )
& ( ~ in(esk1_2(X155,X156),X156)
| esk1_2(X155,X156) != X155
| X156 = singleton(X155) )
& ( in(esk1_2(X155,X156),X156)
| esk1_2(X155,X156) = X155
| X156 = singleton(X155) ) ),
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_73,lemma,
! [X239,X240] : subset(set_intersection2(X239,X240),X239),
inference(variable_rename,[status(thm)],[t17_xboole_1]) ).
fof(i_0_74,lemma,
! [X230,X231] :
( ( ~ subset(X230,singleton(X231))
| X230 = empty_set
| X230 = singleton(X231) )
& ( X230 != empty_set
| subset(X230,singleton(X231)) )
& ( X230 != singleton(X231)
| subset(X230,singleton(X231)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l4_zfmisc_1])])]) ).
fof(i_0_75,plain,
! [X147,X148] : set_intersection2(X147,X148) = set_intersection2(X148,X147),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(i_0_76,lemma,
! [X223,X224] :
( ( ~ subset(singleton(X223),X224)
| in(X223,X224) )
& ( ~ in(X223,X224)
| subset(singleton(X223),X224) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l2_zfmisc_1])]) ).
fof(i_0_77,plain,
! [X211,X212] :
( ( ~ disjoint(X211,X212)
| set_intersection2(X211,X212) = empty_set )
& ( set_intersection2(X211,X212) != empty_set
| disjoint(X211,X212) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_xboole_0])]) ).
fof(i_0_78,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_79,lemma,
! [X251,X252] :
( ~ subset(X251,X252)
| set_intersection2(X251,X252) = X251 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t28_xboole_1])]) ).
fof(i_0_80,plain,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc2_xboole_0]) ).
fof(i_0_81,plain,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X2,X1)) ),
inference(fof_simplification,[status(thm)],[fc3_xboole_0]) ).
fof(i_0_82,plain,
! [X1,X2] :
( proper_subset(X1,X2)
=> ~ proper_subset(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_xboole_0]) ).
fof(i_0_83,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_84,plain,
! [X220] : set_intersection2(X220,X220) = X220,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])]) ).
fof(i_0_85,plain,
! [X253] : set_intersection2(X253,empty_set) = empty_set,
inference(variable_rename,[status(thm)],[t2_boole]) ).
fof(i_0_86,plain,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
fof(i_0_87,plain,
! [X1,X2] : ~ proper_subset(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_r2_xboole_0]) ).
fof(i_0_88,lemma,
! [X222] : singleton(X222) != empty_set,
inference(variable_rename,[status(thm)],[l1_zfmisc_1]) ).
fof(i_0_89,negated_conjecture,
powerset(empty_set) != singleton(empty_set),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t1_zfmisc_1])]) ).
fof(i_0_90,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
cnf(i_0_91,plain,
( X3 = set_intersection2(X1,X2)
| ~ in(esk7_3(X1,X2,X3),X3)
| ~ in(esk7_3(X1,X2,X3),X1)
| ~ in(esk7_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_92,lemma,
set_difference(X1,set_difference(X1,X2)) = set_intersection2(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_65]) ).
fof(i_0_93,plain,
! [X202,X203,X204,X205,X206,X207,X208,X209] :
( ( in(X205,X202)
| ~ in(X205,X204)
| X204 != set_difference(X202,X203) )
& ( ~ in(X205,X203)
| ~ in(X205,X204)
| X204 != set_difference(X202,X203) )
& ( ~ in(X206,X202)
| in(X206,X203)
| in(X206,X204)
| X204 != set_difference(X202,X203) )
& ( ~ in(esk8_3(X207,X208,X209),X209)
| ~ in(esk8_3(X207,X208,X209),X207)
| in(esk8_3(X207,X208,X209),X208)
| X209 = set_difference(X207,X208) )
& ( in(esk8_3(X207,X208,X209),X207)
| in(esk8_3(X207,X208,X209),X209)
| X209 = set_difference(X207,X208) )
& ( ~ in(esk8_3(X207,X208,X209),X208)
| in(esk8_3(X207,X208,X209),X209)
| X209 = set_difference(X207,X208) ) ),
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_66])])])])])]) ).
fof(i_0_94,plain,
! [X178,X179,X180,X181,X182,X183,X184,X185] :
( ( ~ in(X181,X180)
| in(X181,X178)
| in(X181,X179)
| X180 != set_union2(X178,X179) )
& ( ~ in(X182,X178)
| in(X182,X180)
| X180 != set_union2(X178,X179) )
& ( ~ in(X182,X179)
| in(X182,X180)
| X180 != set_union2(X178,X179) )
& ( ~ in(esk5_3(X183,X184,X185),X183)
| ~ in(esk5_3(X183,X184,X185),X185)
| X185 = set_union2(X183,X184) )
& ( ~ in(esk5_3(X183,X184,X185),X184)
| ~ in(esk5_3(X183,X184,X185),X185)
| X185 = set_union2(X183,X184) )
& ( in(esk5_3(X183,X184,X185),X185)
| in(esk5_3(X183,X184,X185),X183)
| in(esk5_3(X183,X184,X185),X184)
| X185 = set_union2(X183,X184) ) ),
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_95,plain,
! [X169,X170,X171,X172,X173,X174,X175,X176] :
( ( ~ in(X172,X171)
| X172 = X169
| X172 = X170
| X171 != unordered_pair(X169,X170) )
& ( X173 != X169
| in(X173,X171)
| X171 != unordered_pair(X169,X170) )
& ( X173 != X170
| in(X173,X171)
| X171 != unordered_pair(X169,X170) )
& ( esk4_3(X174,X175,X176) != X174
| ~ in(esk4_3(X174,X175,X176),X176)
| X176 = unordered_pair(X174,X175) )
& ( esk4_3(X174,X175,X176) != X175
| ~ in(esk4_3(X174,X175,X176),X176)
| X176 = unordered_pair(X174,X175) )
& ( in(esk4_3(X174,X175,X176),X176)
| esk4_3(X174,X175,X176) = X174
| esk4_3(X174,X175,X176) = X175
| X176 = unordered_pair(X174,X175) ) ),
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_96,plain,
( in(esk7_3(X1,X2,X3),X1)
| in(esk7_3(X1,X2,X3),X3)
| X3 = set_intersection2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_97,plain,
( in(esk7_3(X1,X2,X3),X2)
| in(esk7_3(X1,X2,X3),X3)
| X3 = set_intersection2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_98,lemma,
( subset(set_intersection2(X1,X3),set_intersection2(X2,X3))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_67]) ).
cnf(i_0_99,lemma,
( ~ in(X1,set_intersection2(X2,X3))
| ~ disjoint(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_68]) ).
cnf(i_0_100,lemma,
( subset(X1,set_intersection2(X2,X3))
| ~ subset(X1,X2)
| ~ subset(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_69]) ).
cnf(i_0_101,lemma,
( disjoint(X1,X2)
| in(esk13_2(X1,X2),set_intersection2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_68]) ).
fof(i_0_102,plain,
! [X162,X163,X164,X165,X166,X167] :
( ( ~ in(X164,X163)
| subset(X164,X162)
| X163 != powerset(X162) )
& ( ~ subset(X165,X162)
| in(X165,X163)
| X163 != powerset(X162) )
& ( ~ in(esk3_2(X166,X167),X167)
| ~ subset(esk3_2(X166,X167),X166)
| X167 = powerset(X166) )
& ( in(esk3_2(X166,X167),X167)
| subset(esk3_2(X166,X167),X166)
| X167 = powerset(X166) ) ),
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_103,lemma,
( in(X3,X1)
| subset(X1,set_difference(X2,singleton(X3)))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]) ).
cnf(i_0_104,lemma,
unordered_pair(X1,X1) = singleton(X1),
inference(split_conjunct,[status(thm)],[i_0_71]) ).
fof(i_0_105,plain,
! [X254,X255] :
( ( ~ in(esk11_2(X254,X255),X254)
| ~ in(esk11_2(X254,X255),X255)
| X254 = X255 )
& ( in(esk11_2(X254,X255),X254)
| in(esk11_2(X254,X255),X255)
| X254 = X255 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
cnf(i_0_106,plain,
( in(X1,X4)
| ~ in(X1,X2)
| ~ in(X1,X3)
| X4 != set_intersection2(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_107,plain,
( X2 = singleton(X1)
| ~ in(esk1_2(X1,X2),X2)
| esk1_2(X1,X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_72]) ).
cnf(i_0_108,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_109,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_110,lemma,
subset(set_intersection2(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_73]) ).
fof(i_0_111,lemma,
! [X258,X259,X260] :
( ~ subset(X258,X259)
| subset(set_difference(X258,X260),set_difference(X259,X260)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_xboole_1])]) ).
fof(i_0_112,lemma,
! [X303,X304,X305] :
( ~ subset(X303,X304)
| ~ subset(X305,X304)
| subset(set_union2(X303,X305),X304) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_xboole_1])]) ).
cnf(i_0_113,lemma,
( X1 = empty_set
| X1 = singleton(X2)
| ~ subset(X1,singleton(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_74]) ).
cnf(i_0_114,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_75]) ).
fof(i_0_115,plain,
! [X187,X188,X189,X190,X191] :
( ( ~ subset(X187,X188)
| ~ in(X189,X187)
| in(X189,X188) )
& ( in(esk6_2(X190,X191),X190)
| subset(X190,X191) )
& ( ~ in(esk6_2(X190,X191),X191)
| subset(X190,X191) ) ),
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_116,lemma,
( in(X1,X2)
| ~ subset(singleton(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]) ).
cnf(i_0_117,plain,
( disjoint(X1,X2)
| set_intersection2(X1,X2) != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_77]) ).
cnf(i_0_118,plain,
( in(esk1_2(X1,X2),X2)
| esk1_2(X1,X2) = X1
| X2 = singleton(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]) ).
fof(i_0_119,lemma,
! [X268,X269,X271,X272,X273] :
( ( in(esk12_2(X268,X269),X268)
| disjoint(X268,X269) )
& ( in(esk12_2(X268,X269),X269)
| disjoint(X268,X269) )
& ( ~ in(X273,X271)
| ~ in(X273,X272)
| ~ disjoint(X271,X272) ) ),
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_78])])])])])]) ).
cnf(i_0_120,lemma,
( subset(X1,singleton(X2))
| X1 != singleton(X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]) ).
cnf(i_0_121,lemma,
( set_intersection2(X1,X2) = X1
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]) ).
fof(i_0_122,lemma,
! [X277,X278] :
( ~ subset(X277,X278)
| X278 = set_union2(X277,set_difference(X278,X277)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t45_xboole_1])]) ).
cnf(i_0_123,lemma,
( subset(singleton(X1),X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]) ).
cnf(i_0_124,plain,
( set_intersection2(X1,X2) = empty_set
| ~ disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_77]) ).
fof(i_0_125,lemma,
! [X290,X291,X292] :
( ~ subset(X290,X291)
| ~ disjoint(X291,X292)
| disjoint(X290,X292) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t63_xboole_1])]) ).
fof(i_0_126,lemma,
! [X245,X246,X247] :
( ~ subset(X245,X246)
| ~ subset(X246,X247)
| subset(X245,X247) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
fof(i_0_127,lemma,
! [X275,X276] : set_difference(set_union2(X275,X276),X276) = set_difference(X275,X276),
inference(variable_rename,[status(thm)],[t40_xboole_1]) ).
fof(i_0_128,lemma,
! [X265,X266] : set_union2(X265,set_difference(X266,X265)) = set_union2(X265,X266),
inference(variable_rename,[status(thm)],[t39_xboole_1]) ).
fof(i_0_129,plain,
! [X215,X216] :
( empty(X215)
| ~ empty(set_union2(X215,X216)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_80])]) ).
fof(i_0_130,plain,
! [X217,X218] :
( empty(X217)
| ~ empty(set_union2(X218,X217)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_81])]) ).
cnf(i_0_131,plain,
( X1 = X3
| ~ in(X1,X2)
| X2 != singleton(X3) ),
inference(split_conjunct,[status(thm)],[i_0_72]) ).
fof(i_0_132,plain,
! [X149,X150] :
( ( subset(X149,X150)
| X149 != X150 )
& ( subset(X150,X149)
| X149 != X150 )
& ( ~ subset(X149,X150)
| ~ subset(X150,X149)
| X149 = X150 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
fof(i_0_133,lemma,
! [X288,X289] :
( ~ subset(X288,X289)
| ~ proper_subset(X289,X288) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t60_xboole_1])]) ).
fof(i_0_134,plain,
! [X141,X142] :
( ~ proper_subset(X141,X142)
| ~ proper_subset(X142,X141) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_82])]) ).
fof(i_0_135,plain,
! [X139,X140] :
( ~ in(X139,X140)
| ~ in(X140,X139) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_83])]) ).
cnf(i_0_136,lemma,
( subset(X1,singleton(X2))
| X1 != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_74]) ).
cnf(i_0_137,plain,
( in(X1,X3)
| X1 != X2
| X3 != singleton(X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]) ).
cnf(i_0_138,plain,
set_intersection2(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_84]) ).
fof(i_0_139,lemma,
! [X261,X262] : subset(set_difference(X261,X262),X261),
inference(variable_rename,[status(thm)],[t36_xboole_1]) ).
fof(i_0_140,lemma,
! [X297,X298] : subset(X297,set_union2(X297,X298)),
inference(variable_rename,[status(thm)],[t7_xboole_1]) ).
fof(i_0_141,plain,
! [X213,X214] :
( ( subset(X213,X214)
| ~ proper_subset(X213,X214) )
& ( X213 != X214
| ~ proper_subset(X213,X214) )
& ( ~ subset(X213,X214)
| X213 = X214
| proper_subset(X213,X214) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_xboole_0])])]) ).
fof(i_0_142,lemma,
! [X299,X300] :
( ( ~ disjoint(X299,X300)
| set_difference(X299,X300) = X299 )
& ( set_difference(X299,X300) != X299
| disjoint(X299,X300) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t83_xboole_1])]) ).
fof(i_0_143,lemma,
! [X237,X238] :
( ~ subset(X237,X238)
| set_union2(X237,X238) = X238 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_xboole_1])]) ).
cnf(i_0_144,plain,
set_intersection2(X1,empty_set) = empty_set,
inference(split_conjunct,[status(thm)],[i_0_85]) ).
fof(i_0_145,plain,
! [X235,X236] :
( ~ disjoint(X235,X236)
| disjoint(X236,X235) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r1_xboole_0])]) ).
fof(i_0_146,lemma,
! [X263,X264] :
( ( set_difference(X263,X264) != empty_set
| subset(X263,X264) )
& ( ~ subset(X263,X264)
| set_difference(X263,X264) = empty_set ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_xboole_1])]) ).
fof(i_0_147,lemma,
! [X225,X226] :
( ( set_difference(X225,X226) != empty_set
| subset(X225,X226) )
& ( ~ subset(X225,X226)
| set_difference(X225,X226) = empty_set ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l32_xboole_1])]) ).
fof(i_0_148,plain,
! [X295,X296] :
( ~ in(X295,X296)
| ~ empty(X296) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_149,plain,
! [X145,X146] : set_union2(X145,X146) = set_union2(X146,X145),
inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0]) ).
fof(i_0_150,plain,
! [X143,X144] : unordered_pair(X143,X144) = unordered_pair(X144,X143),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(i_0_151,plain,
! [X158,X159,X160] :
( ( X158 != empty_set
| ~ in(X159,X158) )
& ( in(esk2_1(X160),X160)
| X160 = 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_86])])])])]) ).
fof(i_0_152,plain,
! [X221] : ~ proper_subset(X221,X221),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[i_0_87])]) ).
cnf(i_0_153,lemma,
singleton(X1) != empty_set,
inference(split_conjunct,[status(thm)],[i_0_88]) ).
fof(i_0_154,lemma,
! [X274] :
( ~ subset(X274,empty_set)
| X274 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_xboole_1])]) ).
cnf(i_0_155,negated_conjecture,
powerset(empty_set) != singleton(empty_set),
inference(split_conjunct,[status(thm)],[i_0_89]) ).
fof(i_0_156,plain,
! [X301,X302] :
( ~ empty(X301)
| X301 = X302
| ~ empty(X302) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_157,plain,
! [X219] : set_union2(X219,X219) = X219,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k2_xboole_0])]) ).
fof(i_0_158,plain,
! [X234] : subset(X234,X234),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_159,plain,
! [X267] : set_difference(X267,empty_set) = X267,
inference(variable_rename,[status(thm)],[t3_boole]) ).
fof(i_0_160,plain,
! [X244] : set_union2(X244,empty_set) = X244,
inference(variable_rename,[status(thm)],[t1_boole]) ).
fof(i_0_161,lemma,
! [X257] : subset(empty_set,X257),
inference(variable_rename,[status(thm)],[t2_xboole_1]) ).
fof(i_0_162,plain,
! [X281] : set_difference(empty_set,X281) = empty_set,
inference(variable_rename,[status(thm)],[t4_boole]) ).
fof(i_0_163,plain,
! [X294] :
( ~ empty(X294)
| X294 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_164,plain,
~ empty(esk10_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_90])]) ).
fof(i_0_165,plain,
empty(esk9_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_166,plain,
( X3 = set_difference(X1,set_difference(X1,X2))
| ~ in(esk7_3(X1,X2,X3),X3)
| ~ in(esk7_3(X1,X2,X3),X2)
| ~ in(esk7_3(X1,X2,X3),X1) ),
inference(rw,[status(thm)],[i_0_91,c_0_92]),
[final] ).
cnf(i_0_167,plain,
( in(esk8_3(X1,X2,X3),X2)
| X3 = set_difference(X1,X2)
| ~ in(esk8_3(X1,X2,X3),X3)
| ~ in(esk8_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_168,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_94]),
[final] ).
cnf(i_0_169,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_94]),
[final] ).
cnf(i_0_170,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_94]),
[final] ).
cnf(i_0_171,plain,
( in(esk8_3(X1,X2,X3),X3)
| X3 = set_difference(X1,X2)
| ~ in(esk8_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_172,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_95]),
[final] ).
cnf(i_0_173,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_95]),
[final] ).
cnf(i_0_174,plain,
( X3 = set_difference(X1,set_difference(X1,X2))
| in(esk7_3(X1,X2,X3),X3)
| in(esk7_3(X1,X2,X3),X1) ),
inference(rw,[status(thm)],[i_0_96,c_0_92]),
[final] ).
cnf(i_0_175,plain,
( X3 = set_difference(X1,set_difference(X1,X2))
| in(esk7_3(X1,X2,X3),X3)
| in(esk7_3(X1,X2,X3),X2) ),
inference(rw,[status(thm)],[i_0_97,c_0_92]),
[final] ).
cnf(i_0_176,plain,
( in(esk8_3(X1,X2,X3),X1)
| in(esk8_3(X1,X2,X3),X3)
| X3 = set_difference(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_177,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_95]),
[final] ).
cnf(i_0_178,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_98,c_0_92]),c_0_92]),
[final] ).
cnf(i_0_179,lemma,
( ~ disjoint(X2,X3)
| ~ in(X1,set_difference(X2,set_difference(X2,X3))) ),
inference(rw,[status(thm)],[i_0_99,c_0_92]),
[final] ).
cnf(i_0_180,lemma,
( subset(X1,set_difference(X2,set_difference(X2,X3)))
| ~ subset(X1,X3)
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[i_0_100,c_0_92]),
[final] ).
cnf(i_0_181,lemma,
( disjoint(X1,X2)
| in(esk13_2(X1,X2),set_difference(X1,set_difference(X1,X2))) ),
inference(rw,[status(thm)],[i_0_101,c_0_92]),
[final] ).
cnf(i_0_182,plain,
( X2 = powerset(X1)
| ~ in(esk3_2(X1,X2),X2)
| ~ subset(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_183,lemma,
( in(X3,X1)
| subset(X1,set_difference(X2,unordered_pair(X3,X3)))
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[i_0_103,c_0_104]),
[final] ).
cnf(i_0_184,plain,
( X1 = X2
| ~ in(esk11_2(X1,X2),X1)
| ~ in(esk11_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_185,plain,
( in(X1,X4)
| X4 != set_difference(X2,set_difference(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_106,c_0_92]),
[final] ).
cnf(i_0_186,plain,
( X2 = unordered_pair(X1,X1)
| esk1_2(X1,X2) != X1
| ~ in(esk1_2(X1,X2),X2) ),
inference(rw,[status(thm)],[i_0_107,c_0_104]),
[final] ).
cnf(i_0_187,plain,
( in(X1,X2)
| X3 != set_difference(X2,set_difference(X2,X4))
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[i_0_108,c_0_92]),
[final] ).
cnf(i_0_188,plain,
( in(X1,X2)
| X3 != set_difference(X4,set_difference(X4,X2))
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[i_0_109,c_0_92]),
[final] ).
cnf(i_0_189,lemma,
subset(set_difference(X1,set_difference(X1,X2)),X1),
inference(rw,[status(thm)],[i_0_110,c_0_92]),
[final] ).
cnf(i_0_190,lemma,
( subset(set_difference(X1,X3),set_difference(X2,X3))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_191,plain,
( in(esk3_2(X1,X2),X2)
| subset(esk3_2(X1,X2),X1)
| X2 = powerset(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_192,lemma,
( subset(set_union2(X1,X3),X2)
| ~ subset(X1,X2)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_193,plain,
( in(esk11_2(X1,X2),X1)
| in(esk11_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_194,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_113,c_0_104]),c_0_104]),
[final] ).
cnf(i_0_195,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_114,c_0_92]),c_0_92]),
[final] ).
cnf(i_0_196,plain,
( subset(X1,X2)
| ~ in(esk6_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_197,lemma,
( in(X1,X2)
| ~ subset(unordered_pair(X1,X1),X2) ),
inference(rw,[status(thm)],[i_0_116,c_0_104]),
[final] ).
cnf(i_0_198,plain,
( disjoint(X1,X2)
| set_difference(X1,set_difference(X1,X2)) != empty_set ),
inference(rw,[status(thm)],[i_0_117,c_0_92]),
[final] ).
cnf(i_0_199,plain,
( in(X1,X3)
| in(X1,X4)
| ~ in(X1,X2)
| X2 != set_union2(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_200,plain,
( in(X1,X3)
| in(X1,X4)
| ~ in(X1,X2)
| X4 != set_difference(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_201,plain,
( X2 = unordered_pair(X1,X1)
| esk1_2(X1,X2) = X1
| in(esk1_2(X1,X2),X2) ),
inference(rw,[status(thm)],[i_0_118,c_0_104]),
[final] ).
cnf(i_0_202,plain,
( ~ in(X1,X2)
| ~ in(X1,X3)
| X3 != set_difference(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_203,lemma,
( ~ in(X1,X2)
| ~ in(X1,X3)
| ~ disjoint(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_204,lemma,
( subset(X1,unordered_pair(X2,X2))
| X1 != unordered_pair(X2,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_120,c_0_104]),c_0_104]),
[final] ).
cnf(i_0_205,lemma,
( set_difference(X1,set_difference(X1,X2)) = X1
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[i_0_121,c_0_92]),
[final] ).
cnf(i_0_206,lemma,
( X2 = set_union2(X1,set_difference(X2,X1))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_207,lemma,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_123,c_0_104]),
[final] ).
cnf(i_0_208,plain,
( set_difference(X1,set_difference(X1,X2)) = empty_set
| ~ disjoint(X1,X2) ),
inference(rw,[status(thm)],[i_0_124,c_0_92]),
[final] ).
cnf(i_0_209,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_difference(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_210,plain,
( in(X1,X3)
| ~ in(X1,X2)
| X3 != set_union2(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_211,plain,
( in(X1,X3)
| ~ in(X1,X2)
| X3 != set_union2(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_212,lemma,
( disjoint(X1,X3)
| ~ subset(X1,X2)
| ~ disjoint(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_213,lemma,
( subset(X1,X3)
| ~ subset(X1,X2)
| ~ subset(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_214,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_215,lemma,
( in(esk12_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_216,lemma,
( in(esk12_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_217,plain,
( in(esk6_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_218,lemma,
set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_219,lemma,
set_union2(X1,set_difference(X2,X1)) = set_union2(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_220,plain,
( empty(X1)
| ~ empty(set_union2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_221,plain,
( empty(X1)
| ~ empty(set_union2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_222,plain,
( X1 = X3
| X1 = X4
| ~ in(X1,X2)
| X2 != unordered_pair(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_223,plain,
( X1 = X3
| X2 != unordered_pair(X3,X3)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_131,c_0_104]),
[final] ).
cnf(i_0_224,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_225,plain,
( subset(X1,X3)
| ~ in(X1,X2)
| X2 != powerset(X3) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_226,plain,
( in(X1,X3)
| ~ subset(X1,X2)
| X3 != powerset(X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_227,lemma,
( ~ subset(X1,X2)
| ~ proper_subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_228,plain,
( ~ proper_subset(X1,X2)
| ~ proper_subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_229,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_230,lemma,
( subset(X1,unordered_pair(X2,X2))
| X1 != empty_set ),
inference(rw,[status(thm)],[i_0_136,c_0_104]),
[final] ).
cnf(i_0_231,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X2,X2) ),
inference(rw,[status(thm)],[i_0_137,c_0_104]),
[final] ).
cnf(i_0_232,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_233,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_234,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rw,[status(thm)],[i_0_138,c_0_92]),
[final] ).
cnf(i_0_235,lemma,
subset(set_difference(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_236,lemma,
subset(X1,set_union2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_237,plain,
( X1 = X2
| proper_subset(X1,X2)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_238,lemma,
( disjoint(X1,X2)
| set_difference(X1,X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_239,lemma,
( set_difference(X1,X2) = X1
| ~ disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_240,lemma,
( set_union2(X1,X2) = X2
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_241,plain,
set_difference(X1,set_difference(X1,empty_set)) = empty_set,
inference(rw,[status(thm)],[i_0_144,c_0_92]),
[final] ).
cnf(i_0_242,plain,
( disjoint(X2,X1)
| ~ disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_243,plain,
( subset(X1,X2)
| ~ proper_subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_244,lemma,
( subset(X1,X2)
| set_difference(X1,X2) != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_245,lemma,
( subset(X1,X2)
| set_difference(X1,X2) != empty_set ),
inference(split_conjunct,[status(thm)],[i_0_147]),
[final] ).
cnf(i_0_246,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_247,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_147]),
[final] ).
cnf(i_0_248,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_148]),
[final] ).
cnf(i_0_249,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_250,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_251,plain,
( X1 != X2
| ~ proper_subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_252,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_253,plain,
~ proper_subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_254,lemma,
unordered_pair(X1,X1) != empty_set,
inference(rw,[status(thm)],[i_0_153,c_0_104]),
[final] ).
cnf(i_0_255,plain,
( in(esk2_1(X1),X1)
| X1 = empty_set ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_256,lemma,
( X1 = empty_set
| ~ subset(X1,empty_set) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_257,negated_conjecture,
powerset(empty_set) != unordered_pair(empty_set,empty_set),
inference(rw,[status(thm)],[i_0_155,c_0_104]),
[final] ).
cnf(i_0_258,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_259,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_260,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_261,plain,
set_union2(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_262,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_158]),
[final] ).
cnf(i_0_263,plain,
set_difference(X1,empty_set) = X1,
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_264,plain,
set_union2(X1,empty_set) = X1,
inference(split_conjunct,[status(thm)],[i_0_160]),
[final] ).
cnf(i_0_265,lemma,
subset(empty_set,X1),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_266,plain,
set_difference(empty_set,X1) = empty_set,
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_267,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_163]),
[final] ).
cnf(i_0_268,plain,
~ empty(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_164]),
[final] ).
cnf(i_0_269,plain,
empty(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_165]),
[final] ).
cnf(i_0_270,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_271,axiom,
X1 = X1 ).
cnf(i_0_272,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_273,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_274,axiom,
( X1 != X2
| set_difference(X1,X3) = set_difference(X2,X3) ) ).
cnf(i_0_275,axiom,
( X1 != X2
| set_difference(X3,X1) = set_difference(X3,X2) ) ).
cnf(i_0_276,axiom,
( X1 != X2
| esk1_2(X1,X3) = esk1_2(X2,X3) ) ).
cnf(i_0_277,axiom,
( X1 != X2
| esk1_2(X3,X1) = esk1_2(X3,X2) ) ).
cnf(i_0_278,axiom,
( X1 != X2
| set_union2(X1,X3) = set_union2(X2,X3) ) ).
cnf(i_0_279,axiom,
( X1 != X2
| set_union2(X3,X1) = set_union2(X3,X2) ) ).
cnf(i_0_280,axiom,
( X1 != X2
| unordered_pair(X1,X3) = unordered_pair(X2,X3) ) ).
cnf(i_0_281,axiom,
( X1 != X2
| unordered_pair(X3,X1) = unordered_pair(X3,X2) ) ).
cnf(i_0_282,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_283,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_284,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_285,axiom,
( X1 != X2
| powerset(X1) = powerset(X2) ) ).
cnf(i_0_286,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_287,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_288,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_289,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_290,axiom,
( X1 != X2
| ~ disjoint(X1,X3)
| disjoint(X2,X3) ) ).
cnf(i_0_291,axiom,
( X1 != X2
| ~ disjoint(X3,X1)
| disjoint(X3,X2) ) ).
cnf(i_0_292,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_293,axiom,
( X1 != X2
| ~ proper_subset(X1,X3)
| proper_subset(X2,X3) ) ).
cnf(i_0_294,axiom,
( X1 != X2
| ~ proper_subset(X3,X1)
| proper_subset(X3,X2) ) ).
cnf(i_0_271_001,axiom,
X1 = X1 ).
cnf(i_0_272_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_273_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_274_004,axiom,
( X1 != X2
| set_difference(X1,X3) = set_difference(X2,X3) ) ).
cnf(i_0_275_005,axiom,
( X1 != X2
| set_difference(X3,X1) = set_difference(X3,X2) ) ).
cnf(i_0_276_006,axiom,
( X1 != X2
| esk1_2(X1,X3) = esk1_2(X2,X3) ) ).
cnf(i_0_277_007,axiom,
( X1 != X2
| esk1_2(X3,X1) = esk1_2(X3,X2) ) ).
cnf(i_0_278_008,axiom,
( X1 != X2
| set_union2(X1,X3) = set_union2(X2,X3) ) ).
cnf(i_0_279_009,axiom,
( X1 != X2
| set_union2(X3,X1) = set_union2(X3,X2) ) ).
cnf(i_0_280_010,axiom,
( X1 != X2
| unordered_pair(X1,X3) = unordered_pair(X2,X3) ) ).
cnf(i_0_281_011,axiom,
( X1 != X2
| unordered_pair(X3,X1) = unordered_pair(X3,X2) ) ).
cnf(i_0_282_012,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_283_013,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_284_014,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_285_015,axiom,
( X1 != X2
| powerset(X1) = powerset(X2) ) ).
cnf(i_0_286_016,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_287_017,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_288_018,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_289_019,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_290_020,axiom,
( X1 != X2
| ~ disjoint(X1,X3)
| disjoint(X2,X3) ) ).
cnf(i_0_291_021,axiom,
( X1 != X2
| ~ disjoint(X3,X1)
| disjoint(X3,X2) ) ).
cnf(i_0_292_022,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_293_023,axiom,
( X1 != X2
| ~ proper_subset(X1,X3)
| proper_subset(X2,X3) ) ).
cnf(i_0_294_024,axiom,
( X1 != X2
| ~ proper_subset(X3,X1)
| proper_subset(X3,X2) ) ).
cnf(i_0_295,plain,
( ~ in(X1,X2)
| ~ in(X1,X3)
| in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(equality_inference,[],[185]) ).
cnf(i_0_296,plain,
( ~ in(X1,set_difference(X2,set_difference(X2,X3)))
| in(X1,X3) ),
inference(equality_inference,[],[188]) ).
cnf(i_0_297,plain,
( in(X1,X2)
| in(X1,X3)
| ~ in(X1,set_union2(X2,X3)) ),
inference(equality_inference,[],[199]) ).
cnf(i_0_298,plain,
( in(X1,X2)
| in(X1,set_difference(X3,X2))
| ~ in(X1,X3) ),
inference(equality_inference,[],[200]) ).
cnf(i_0_299,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(equality_inference,[],[202]) ).
cnf(i_0_300,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(equality_inference,[],[209]) ).
cnf(i_0_301,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X2) ),
inference(equality_inference,[],[210]) ).
cnf(i_0_302,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X3) ),
inference(equality_inference,[],[211]) ).
cnf(i_0_303,plain,
( X1 = X2
| X1 = X3
| ~ in(X1,unordered_pair(X2,X3)) ),
inference(equality_inference,[],[222]) ).
cnf(i_0_304,plain,
( ~ in(X1,unordered_pair(X2,X2))
| X1 = X2 ),
inference(equality_inference,[],[223]) ).
cnf(i_0_305,plain,
( subset(X1,X2)
| ~ in(X1,powerset(X2)) ),
inference(equality_inference,[],[225]) ).
cnf(i_0_306,plain,
( in(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(equality_inference,[],[226]) ).
cnf(i_0_307,plain,
subset(empty_set,unordered_pair(X1,X1)),
inference(equality_inference,[],[230]) ).
cnf(i_0_308,plain,
~ proper_subset(X1,X1),
inference(equality_inference,[],[251]) ).
cnf(i_0_309,plain,
~ in(X1,empty_set),
inference(equality_inference,[],[252]) ).
cnf(i_0_310,plain,
subset(X1,X1),
inference(equality_inference,[],[258]) ).
cnf(i_0_311,plain,
subset(X1,X1),
inference(equality_inference,[],[259]) ).
cnf(i_0_312,plain,
~ in(powerset(empty_set),unordered_pair(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_257,i_0_304]) ).
cnf(i_0_313,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_304]) ).
cnf(i_0_314,plain,
X1 = set_union2(X1,X1),
inference(scs_inference,[],[i_0_257,i_0_261,i_0_304,i_0_272]) ).
cnf(i_0_315,plain,
in(X1,unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_261,i_0_304,i_0_272,i_0_197]) ).
cnf(i_0_316,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_262]) ).
cnf(i_0_317,plain,
( ~ subset(unordered_pair(X1,X1),X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_197]) ).
cnf(i_0_318,plain,
disjoint(empty_set,empty_set),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_261,i_0_234,i_0_304,i_0_272,i_0_197,i_0_198]) ).
cnf(i_0_319,plain,
set_difference(X1,set_difference(X1,X1)) = X1,
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_320,plain,
( set_difference(X1,set_difference(X1,X2)) != empty_set
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_198]) ).
cnf(i_0_321,plain,
disjoint(empty_set,X1),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_261,i_0_234,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215]) ).
cnf(i_0_322,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_309]) ).
cnf(i_0_323,plain,
( in(esk12_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_215]) ).
cnf(i_0_324,plain,
disjoint(X1,empty_set),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_261,i_0_234,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216]) ).
cnf(i_0_325,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_309]) ).
cnf(i_0_326,plain,
( in(esk12_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_216]) ).
cnf(i_0_327,plain,
~ in(unordered_pair(X1,X1),X1),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_261,i_0_234,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229]) ).
cnf(i_0_328,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_229]) ).
cnf(i_0_329,plain,
subset(set_union2(empty_set,empty_set),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_261,i_0_234,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230]) ).
cnf(i_0_330,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_331,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_332,plain,
disjoint(X1,set_difference(X1,X1)),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_261,i_0_234,i_0_319,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238]) ).
cnf(i_0_333,plain,
( set_difference(X1,X2) != X1
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_238]) ).
cnf(i_0_334,plain,
disjoint(set_difference(X1,X1),X1),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_261,i_0_234,i_0_319,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242]) ).
cnf(i_0_335,plain,
( ~ disjoint(X1,X2)
| disjoint(X2,X1) ),
inference(rename_variables,[],[i_0_242]) ).
cnf(i_0_336,plain,
subset(X1,set_difference(X1,empty_set)),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_261,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245]) ).
cnf(i_0_337,plain,
( set_difference(X1,X2) != empty_set
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_245]) ).
cnf(i_0_338,plain,
~ in(X1,esk9_0),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_261,i_0_269,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248]) ).
cnf(i_0_339,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_248]) ).
cnf(i_0_340,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_261,i_0_330,i_0_269,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252]) ).
cnf(i_0_341,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_342,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_252]) ).
cnf(i_0_343,plain,
in(esk2_1(unordered_pair(X1,X1)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_261,i_0_330,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255]) ).
cnf(i_0_344,plain,
( X1 = empty_set
| in(esk2_1(X1),X1) ),
inference(rename_variables,[],[i_0_255]) ).
cnf(i_0_345,plain,
subset(set_union2(X1,X1),X1),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_261,i_0_330,i_0_341,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258]) ).
cnf(i_0_346,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_258]) ).
cnf(i_0_347,plain,
subset(set_union2(X1,X2),set_union2(X2,X1)),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_261,i_0_330,i_0_341,i_0_249,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259]) ).
cnf(i_0_348,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_349,plain,
~ empty(unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_261,i_0_330,i_0_341,i_0_249,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267]) ).
cnf(i_0_350,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_351,plain,
~ in(X1,set_difference(X2,set_difference(X2,empty_set))),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_325,i_0_261,i_0_330,i_0_341,i_0_249,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296]) ).
cnf(i_0_352,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_296]) ).
cnf(i_0_353,plain,
~ in(X1,set_difference(X2,unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_325,i_0_261,i_0_330,i_0_341,i_0_249,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299]) ).
cnf(i_0_354,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_355,plain,
~ in(X1,set_difference(empty_set,X2)),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_325,i_0_261,i_0_330,i_0_341,i_0_249,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300]) ).
cnf(i_0_356,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_357,plain,
in(X1,set_union2(unordered_pair(X1,X1),X2)),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_325,i_0_261,i_0_330,i_0_341,i_0_249,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301]) ).
cnf(i_0_358,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_301]) ).
cnf(i_0_359,plain,
in(X1,set_union2(X2,unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_309,i_0_322,i_0_325,i_0_261,i_0_330,i_0_341,i_0_249,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302]) ).
cnf(i_0_360,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_361,plain,
in(X1,powerset(X1)),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_261,i_0_330,i_0_341,i_0_249,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306]) ).
cnf(i_0_362,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_306]) ).
cnf(i_0_363,plain,
esk9_0 = empty_set,
inference(scs_inference,[],[i_0_257,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_261,i_0_330,i_0_341,i_0_249,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193]) ).
cnf(i_0_364,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_309]) ).
cnf(i_0_365,plain,
( in(esk11_2(X1,X2),X1)
| in(esk11_2(X1,X2),X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_193]) ).
cnf(i_0_366,plain,
~ in(powerset(empty_set),set_difference(unordered_pair(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set)),empty_set)),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_261,i_0_330,i_0_341,i_0_249,i_0_263,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223]) ).
cnf(i_0_367,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_368,plain,
( X1 != unordered_pair(X2,X2)
| ~ in(X3,X1)
| X3 = X2 ),
inference(rename_variables,[],[i_0_223]) ).
cnf(i_0_369,plain,
X1 = set_difference(X1,empty_set),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_261,i_0_330,i_0_341,i_0_249,i_0_235,i_0_263,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224]) ).
cnf(i_0_370,plain,
subset(set_difference(X1,X2),X1),
inference(rename_variables,[],[i_0_235]) ).
cnf(i_0_371,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_224]) ).
cnf(i_0_372,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(scs_inference,[],[i_0_257,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_261,i_0_330,i_0_341,i_0_249,i_0_235,i_0_263,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303]) ).
cnf(i_0_373,plain,
( ~ in(X1,unordered_pair(X2,X3))
| X1 = X2
| X1 = X3 ),
inference(rename_variables,[],[i_0_303]) ).
cnf(i_0_374,plain,
powerset(empty_set) != set_union2(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set)),
inference(scs_inference,[],[i_0_257,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_261,i_0_330,i_0_341,i_0_249,i_0_235,i_0_263,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273]) ).
cnf(i_0_375,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_376,plain,
~ proper_subset(X1,set_union2(X1,X1)),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_261,i_0_330,i_0_341,i_0_375,i_0_249,i_0_235,i_0_263,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294]) ).
cnf(i_0_377,plain,
~ proper_subset(X1,X1),
inference(rename_variables,[],[i_0_253]) ).
cnf(i_0_378,plain,
esk9_0 != esk10_0,
inference(scs_inference,[],[i_0_257,i_0_253,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_261,i_0_330,i_0_341,i_0_375,i_0_249,i_0_235,i_0_263,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292]) ).
cnf(i_0_379,plain,
~ proper_subset(set_union2(X1,X1),X1),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_261,i_0_330,i_0_341,i_0_375,i_0_249,i_0_235,i_0_263,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293]) ).
cnf(i_0_380,plain,
~ proper_subset(X1,X1),
inference(rename_variables,[],[i_0_253]) ).
cnf(i_0_381,plain,
~ in(X1,set_difference(set_difference(X2,set_difference(X2,empty_set)),empty_set)),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_261,i_0_330,i_0_341,i_0_375,i_0_249,i_0_235,i_0_263,i_0_367,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188]) ).
cnf(i_0_382,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_383,plain,
( X1 != set_difference(X2,set_difference(X2,X3))
| ~ in(X4,X1)
| in(X4,X3) ),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_384,plain,
~ in(X1,set_difference(set_difference(X2,unordered_pair(X1,X1)),empty_set)),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_261,i_0_330,i_0_341,i_0_375,i_0_249,i_0_235,i_0_263,i_0_367,i_0_382,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202]) ).
cnf(i_0_385,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_386,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_387,plain,
~ in(X1,set_union2(set_difference(empty_set,X2),set_difference(empty_set,X2))),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_261,i_0_330,i_0_341,i_0_375,i_0_249,i_0_235,i_0_263,i_0_367,i_0_382,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202,i_0_209]) ).
cnf(i_0_388,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_389,plain,
( X1 != set_difference(X2,X3)
| in(X4,X2)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_209]) ).
cnf(i_0_390,plain,
~ in(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),X2),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_261,i_0_330,i_0_341,i_0_375,i_0_249,i_0_235,i_0_263,i_0_367,i_0_382,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202,i_0_209,i_0_210]) ).
cnf(i_0_391,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_392,plain,
~ in(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),X1),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_261,i_0_330,i_0_341,i_0_375,i_0_249,i_0_235,i_0_263,i_0_367,i_0_382,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202,i_0_209,i_0_210,i_0_211]) ).
cnf(i_0_393,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X3) ),
inference(rename_variables,[],[i_0_211]) ).
cnf(i_0_394,plain,
~ subset(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),empty_set),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_261,i_0_330,i_0_341,i_0_375,i_0_249,i_0_235,i_0_263,i_0_367,i_0_382,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202,i_0_209,i_0_210,i_0_211,i_0_214]) ).
cnf(i_0_395,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_309]) ).
cnf(i_0_396,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_214]) ).
cnf(i_0_397,plain,
~ in(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),set_union2(powerset(empty_set),powerset(empty_set))),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_261,i_0_330,i_0_341,i_0_375,i_0_388,i_0_249,i_0_235,i_0_263,i_0_367,i_0_382,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202,i_0_209,i_0_210,i_0_211,i_0_214,i_0_225]) ).
cnf(i_0_398,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_399,plain,
( X1 != powerset(X2)
| subset(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_225]) ).
cnf(i_0_400,plain,
in(set_union2(X1,X2),set_difference(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),empty_set)),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_395,i_0_261,i_0_330,i_0_341,i_0_375,i_0_388,i_0_249,i_0_235,i_0_263,i_0_367,i_0_382,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202,i_0_209,i_0_210,i_0_211,i_0_214,i_0_225,i_0_298]) ).
cnf(i_0_401,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_309]) ).
cnf(i_0_402,plain,
( ~ in(X1,X2)
| in(X1,X3)
| in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_298]) ).
cnf(i_0_403,plain,
~ in(set_union2(powerset(empty_set),powerset(empty_set)),unordered_pair(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_395,i_0_261,i_0_330,i_0_341,i_0_375,i_0_388,i_0_398,i_0_249,i_0_235,i_0_263,i_0_367,i_0_382,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202,i_0_209,i_0_210,i_0_211,i_0_214,i_0_225,i_0_298,i_0_286]) ).
cnf(i_0_404,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_405,plain,
~ in(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),set_union2(set_union2(X1,X2),set_union2(X1,X2))),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_395,i_0_261,i_0_330,i_0_341,i_0_375,i_0_388,i_0_398,i_0_404,i_0_249,i_0_235,i_0_263,i_0_367,i_0_382,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202,i_0_209,i_0_210,i_0_211,i_0_214,i_0_225,i_0_298,i_0_286,i_0_287]) ).
cnf(i_0_406,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_407,plain,
~ subset(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_395,i_0_261,i_0_330,i_0_341,i_0_375,i_0_388,i_0_398,i_0_404,i_0_406,i_0_249,i_0_235,i_0_263,i_0_367,i_0_382,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202,i_0_209,i_0_210,i_0_211,i_0_214,i_0_225,i_0_298,i_0_286,i_0_287,i_0_289]) ).
cnf(i_0_408,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_409,plain,
~ in(powerset(empty_set),set_union2(unordered_pair(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set)),empty_set)),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_395,i_0_261,i_0_330,i_0_341,i_0_375,i_0_388,i_0_398,i_0_404,i_0_406,i_0_249,i_0_235,i_0_263,i_0_367,i_0_382,i_0_264,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202,i_0_209,i_0_210,i_0_211,i_0_214,i_0_225,i_0_298,i_0_286,i_0_287,i_0_289,i_0_222]) ).
cnf(i_0_410,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_264]) ).
cnf(i_0_411,plain,
( X1 != unordered_pair(X2,X3)
| X4 = X2
| X4 = X3
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_222]) ).
cnf(i_0_412,plain,
~ in(X1,set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_395,i_0_401,i_0_261,i_0_330,i_0_341,i_0_375,i_0_388,i_0_398,i_0_404,i_0_406,i_0_408,i_0_249,i_0_235,i_0_263,i_0_367,i_0_382,i_0_264,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202,i_0_209,i_0_210,i_0_211,i_0_214,i_0_225,i_0_298,i_0_286,i_0_287,i_0_289,i_0_222,i_0_199]) ).
cnf(i_0_413,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_414,plain,
( X1 != set_union2(X2,X3)
| in(X4,X2)
| in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_415,plain,
subset(set_union2(empty_set,empty_set),X1),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_395,i_0_401,i_0_261,i_0_330,i_0_341,i_0_375,i_0_388,i_0_398,i_0_404,i_0_406,i_0_408,i_0_249,i_0_235,i_0_263,i_0_367,i_0_382,i_0_264,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202,i_0_209,i_0_210,i_0_211,i_0_214,i_0_225,i_0_298,i_0_286,i_0_287,i_0_289,i_0_222,i_0_199,i_0_217]) ).
cnf(i_0_416,plain,
( in(esk6_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_217]) ).
cnf(i_0_417,plain,
( ~ subset(powerset(empty_set),unordered_pair(empty_set,empty_set))
| powerset(empty_set) = empty_set ),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_395,i_0_401,i_0_261,i_0_330,i_0_341,i_0_375,i_0_388,i_0_398,i_0_404,i_0_406,i_0_408,i_0_249,i_0_235,i_0_263,i_0_367,i_0_382,i_0_264,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202,i_0_209,i_0_210,i_0_211,i_0_214,i_0_225,i_0_298,i_0_286,i_0_287,i_0_289,i_0_222,i_0_199,i_0_217,i_0_194]) ).
cnf(i_0_418,plain,
( X1 = unordered_pair(X2,X2)
| ~ subset(X1,unordered_pair(X2,X2))
| X1 = empty_set ),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_419,plain,
~ subset(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),set_difference(empty_set,X3)),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_395,i_0_401,i_0_261,i_0_330,i_0_341,i_0_375,i_0_388,i_0_398,i_0_404,i_0_406,i_0_408,i_0_249,i_0_235,i_0_370,i_0_263,i_0_367,i_0_382,i_0_264,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202,i_0_209,i_0_210,i_0_211,i_0_214,i_0_225,i_0_298,i_0_286,i_0_287,i_0_289,i_0_222,i_0_199,i_0_217,i_0_194,i_0_213]) ).
cnf(i_0_420,plain,
subset(set_difference(X1,X2),X1),
inference(rename_variables,[],[i_0_235]) ).
cnf(i_0_421,plain,
( ~ subset(X1,X2)
| subset(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_213]) ).
cnf(i_0_422,plain,
( ~ subset(set_union2(powerset(empty_set),powerset(empty_set)),unordered_pair(empty_set,empty_set))
| powerset(empty_set) = empty_set ),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_309,i_0_322,i_0_325,i_0_364,i_0_395,i_0_401,i_0_261,i_0_330,i_0_341,i_0_375,i_0_388,i_0_398,i_0_404,i_0_406,i_0_408,i_0_413,i_0_249,i_0_235,i_0_370,i_0_263,i_0_367,i_0_382,i_0_264,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202,i_0_209,i_0_210,i_0_211,i_0_214,i_0_225,i_0_298,i_0_286,i_0_287,i_0_289,i_0_222,i_0_199,i_0_217,i_0_194,i_0_213,i_0_288]) ).
cnf(i_0_423,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_424,plain,
( proper_subset(X1,X2)
| ~ subset(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_237]) ).
cnf(i_0_425,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_262]) ).
cnf(i_0_426,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_262]) ).
cnf(i_0_427,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_428,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_429,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(rename_variables,[],[i_0_249]) ).
cnf(i_0_430,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_431,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_309]) ).
cnf(i_0_432,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_433,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_309]) ).
cnf(i_0_434,plain,
( ~ subset(set_union2(set_difference(empty_set,set_difference(empty_set,unordered_pair(set_union2(powerset(X1),powerset(X1)),set_union2(powerset(X1),powerset(X1))))),set_difference(empty_set,set_difference(empty_set,unordered_pair(set_union2(powerset(X1),powerset(X1)),set_union2(powerset(X1),powerset(X1)))))),set_difference(empty_set,set_difference(empty_set,unordered_pair(set_union2(powerset(X1),powerset(X1)),set_union2(powerset(X1),powerset(X1))))))
| in(set_union2(powerset(X1),powerset(X1)),set_union2(set_difference(unordered_pair(set_union2(powerset(X1),powerset(X1)),set_union2(powerset(X1),powerset(X1))),empty_set),set_difference(unordered_pair(set_union2(powerset(X1),powerset(X1)),set_union2(powerset(X1),powerset(X1))),empty_set)))
| powerset(empty_set) = empty_set ),
inference(scs_inference,[],[i_0_257,i_0_253,i_0_377,i_0_262,i_0_316,i_0_425,i_0_309,i_0_322,i_0_325,i_0_364,i_0_395,i_0_401,i_0_431,i_0_261,i_0_330,i_0_341,i_0_375,i_0_388,i_0_398,i_0_404,i_0_406,i_0_408,i_0_413,i_0_423,i_0_427,i_0_428,i_0_430,i_0_249,i_0_429,i_0_235,i_0_370,i_0_263,i_0_367,i_0_382,i_0_264,i_0_268,i_0_269,i_0_254,i_0_234,i_0_319,i_0_241,i_0_304,i_0_272,i_0_197,i_0_198,i_0_215,i_0_216,i_0_229,i_0_230,i_0_238,i_0_242,i_0_245,i_0_248,i_0_252,i_0_255,i_0_258,i_0_259,i_0_267,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_306,i_0_193,i_0_223,i_0_224,i_0_303,i_0_273,i_0_294,i_0_292,i_0_293,i_0_188,i_0_202,i_0_209,i_0_210,i_0_211,i_0_214,i_0_225,i_0_298,i_0_286,i_0_287,i_0_289,i_0_222,i_0_199,i_0_217,i_0_194,i_0_213,i_0_288,i_0_237,i_0_180,i_0_192,i_0_203,i_0_212,i_0_226,i_0_232,i_0_233,i_0_297,i_0_185,i_0_200]) ).
cnf(i_0_435,plain,
~ in(esk9_0,unordered_pair(esk10_0,esk10_0)),
inference(scs_inference,[],[i_0_378,i_0_304]) ).
cnf(i_0_436,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_304]) ).
cnf(i_0_437,plain,
in(X1,set_difference(unordered_pair(X1,X1),empty_set)),
inference(scs_inference,[],[i_0_378,i_0_336,i_0_304,i_0_197]) ).
cnf(i_0_438,plain,
subset(X1,set_difference(X1,empty_set)),
inference(rename_variables,[],[i_0_336]) ).
cnf(i_0_439,plain,
( ~ subset(unordered_pair(X1,X1),X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_197]) ).
cnf(i_0_440,plain,
~ in(unordered_pair(X1,X1),esk2_1(unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_378,i_0_343,i_0_336,i_0_304,i_0_197,i_0_229]) ).
cnf(i_0_441,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_229]) ).
cnf(i_0_442,plain,
subset(esk2_1(unordered_pair(empty_set,empty_set)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_372,i_0_378,i_0_343,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230]) ).
cnf(i_0_443,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_372]) ).
cnf(i_0_444,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_445,plain,
~ in(X1,esk2_1(unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_378,i_0_343,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252]) ).
cnf(i_0_446,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_372]) ).
cnf(i_0_447,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_252]) ).
cnf(i_0_448,plain,
subset(esk2_1(unordered_pair(X1,X1)),X1),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_378,i_0_343,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258]) ).
cnf(i_0_449,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_258]) ).
cnf(i_0_450,plain,
~ in(unordered_pair(X1,X1),set_difference(X2,set_difference(X2,X1))),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_378,i_0_343,i_0_327,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296]) ).
cnf(i_0_451,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_296]) ).
cnf(i_0_452,plain,
~ in(esk2_1(unordered_pair(X1,X1)),set_difference(X2,unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_378,i_0_343,i_0_327,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299]) ).
cnf(i_0_453,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_454,plain,
~ in(powerset(empty_set),set_difference(unordered_pair(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set)),X1)),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_312,i_0_378,i_0_343,i_0_327,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300]) ).
cnf(i_0_455,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_456,plain,
subset(X1,esk2_1(unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_312,i_0_378,i_0_343,i_0_327,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259]) ).
cnf(i_0_457,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_458,plain,
in(esk2_1(unordered_pair(X1,X1)),set_union2(unordered_pair(X1,X1),X2)),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_312,i_0_378,i_0_343,i_0_327,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301]) ).
cnf(i_0_459,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_301]) ).
cnf(i_0_460,plain,
in(esk2_1(unordered_pair(X1,X1)),set_union2(X2,unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_312,i_0_378,i_0_343,i_0_327,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302]) ).
cnf(i_0_461,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_462,plain,
in(empty_set,powerset(X1)),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_312,i_0_378,i_0_265,i_0_343,i_0_327,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306]) ).
cnf(i_0_463,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_306]) ).
cnf(i_0_464,plain,
disjoint(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),X1),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_312,i_0_378,i_0_265,i_0_343,i_0_327,i_0_412,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215]) ).
cnf(i_0_465,plain,
~ in(X1,set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(rename_variables,[],[i_0_412]) ).
cnf(i_0_466,plain,
( in(esk12_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_215]) ).
cnf(i_0_467,plain,
disjoint(X1,set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_312,i_0_378,i_0_265,i_0_343,i_0_327,i_0_412,i_0_465,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216]) ).
cnf(i_0_468,plain,
~ in(X1,set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(rename_variables,[],[i_0_412]) ).
cnf(i_0_469,plain,
( in(esk12_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_216]) ).
cnf(i_0_470,plain,
subset(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),X1),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_312,i_0_378,i_0_265,i_0_343,i_0_327,i_0_412,i_0_465,i_0_468,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217]) ).
cnf(i_0_471,plain,
~ in(X1,set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(rename_variables,[],[i_0_412]) ).
cnf(i_0_472,plain,
( in(esk6_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_217]) ).
cnf(i_0_473,plain,
X1 = esk2_1(unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_312,i_0_378,i_0_265,i_0_343,i_0_327,i_0_412,i_0_465,i_0_468,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272]) ).
cnf(i_0_474,plain,
set_difference(X1,set_difference(X1,empty_set)) = set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_312,i_0_378,i_0_265,i_0_343,i_0_327,i_0_412,i_0_465,i_0_468,i_0_471,i_0_351,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193]) ).
cnf(i_0_475,plain,
~ in(X1,set_difference(X2,set_difference(X2,empty_set))),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_476,plain,
~ in(X1,set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(rename_variables,[],[i_0_412]) ).
cnf(i_0_477,plain,
( in(esk11_2(X1,X2),X1)
| in(esk11_2(X1,X2),X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_193]) ).
cnf(i_0_478,plain,
in(empty_set,set_difference(powerset(X1),set_difference(X2,unordered_pair(empty_set,empty_set)))),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_312,i_0_378,i_0_265,i_0_343,i_0_327,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_351,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298]) ).
cnf(i_0_479,plain,
~ in(X1,set_difference(X2,unordered_pair(X1,X1))),
inference(rename_variables,[],[i_0_353]) ).
cnf(i_0_480,plain,
( ~ in(X1,X2)
| in(X1,X3)
| in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_298]) ).
cnf(i_0_481,plain,
~ subset(unordered_pair(powerset(empty_set),powerset(empty_set)),unordered_pair(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_312,i_0_378,i_0_265,i_0_343,i_0_315,i_0_327,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_351,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214]) ).
cnf(i_0_482,plain,
in(X1,unordered_pair(X1,X1)),
inference(rename_variables,[],[i_0_315]) ).
cnf(i_0_483,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_214]) ).
cnf(i_0_484,plain,
set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)) = empty_set,
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_312,i_0_378,i_0_265,i_0_343,i_0_315,i_0_327,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_351,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214,i_0_224]) ).
cnf(i_0_485,plain,
subset(empty_set,X1),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_486,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_224]) ).
cnf(i_0_487,plain,
~ subset(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_372,i_0_443,i_0_446,i_0_312,i_0_378,i_0_265,i_0_343,i_0_315,i_0_327,i_0_345,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_407,i_0_351,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214,i_0_224,i_0_213]) ).
cnf(i_0_488,plain,
subset(set_union2(X1,X1),X1),
inference(rename_variables,[],[i_0_345]) ).
cnf(i_0_489,plain,
( ~ subset(X1,X2)
| subset(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_213]) ).
cnf(i_0_490,plain,
powerset(empty_set) != esk2_1(unordered_pair(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_257,i_0_372,i_0_443,i_0_446,i_0_312,i_0_378,i_0_265,i_0_343,i_0_315,i_0_327,i_0_345,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_407,i_0_351,i_0_336,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214,i_0_224,i_0_213,i_0_273]) ).
cnf(i_0_491,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_372]) ).
cnf(i_0_492,plain,
empty_set != unordered_pair(X1,X1),
inference(scs_inference,[],[i_0_257,i_0_372,i_0_443,i_0_446,i_0_312,i_0_378,i_0_265,i_0_343,i_0_315,i_0_327,i_0_345,i_0_349,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_407,i_0_351,i_0_336,i_0_270,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214,i_0_224,i_0_213,i_0_273,i_0_292]) ).
cnf(i_0_493,plain,
~ proper_subset(X1,set_union2(set_union2(X1,X1),set_union2(X1,X1))),
inference(scs_inference,[],[i_0_257,i_0_314,i_0_372,i_0_443,i_0_446,i_0_312,i_0_376,i_0_378,i_0_265,i_0_343,i_0_315,i_0_327,i_0_345,i_0_349,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_407,i_0_351,i_0_336,i_0_270,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214,i_0_224,i_0_213,i_0_273,i_0_292,i_0_293]) ).
cnf(i_0_494,plain,
~ proper_subset(X1,set_union2(X1,X1)),
inference(rename_variables,[],[i_0_376]) ).
cnf(i_0_495,plain,
~ in(esk2_1(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1))),X1),
inference(scs_inference,[],[i_0_257,i_0_314,i_0_372,i_0_443,i_0_446,i_0_491,i_0_312,i_0_376,i_0_378,i_0_265,i_0_343,i_0_315,i_0_327,i_0_345,i_0_349,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_407,i_0_351,i_0_336,i_0_270,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214,i_0_224,i_0_213,i_0_273,i_0_292,i_0_293,i_0_286]) ).
cnf(i_0_496,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_372]) ).
cnf(i_0_497,plain,
~ in(X1,esk2_1(unordered_pair(set_difference(empty_set,X2),set_difference(empty_set,X2)))),
inference(scs_inference,[],[i_0_257,i_0_314,i_0_372,i_0_443,i_0_446,i_0_491,i_0_496,i_0_312,i_0_376,i_0_378,i_0_265,i_0_343,i_0_315,i_0_327,i_0_345,i_0_349,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_407,i_0_351,i_0_336,i_0_355,i_0_270,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214,i_0_224,i_0_213,i_0_273,i_0_292,i_0_293,i_0_286,i_0_287]) ).
cnf(i_0_498,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_372]) ).
cnf(i_0_499,plain,
~ subset(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),esk2_1(unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_257,i_0_314,i_0_372,i_0_443,i_0_446,i_0_491,i_0_496,i_0_498,i_0_312,i_0_376,i_0_378,i_0_265,i_0_343,i_0_315,i_0_327,i_0_345,i_0_349,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_407,i_0_351,i_0_336,i_0_355,i_0_394,i_0_270,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214,i_0_224,i_0_213,i_0_273,i_0_292,i_0_293,i_0_286,i_0_287,i_0_289]) ).
cnf(i_0_500,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_372]) ).
cnf(i_0_501,plain,
~ proper_subset(set_union2(set_union2(X1,X1),set_union2(X1,X1)),X1),
inference(scs_inference,[],[i_0_257,i_0_314,i_0_372,i_0_443,i_0_446,i_0_491,i_0_496,i_0_498,i_0_312,i_0_376,i_0_379,i_0_378,i_0_265,i_0_343,i_0_315,i_0_327,i_0_345,i_0_349,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_407,i_0_351,i_0_336,i_0_355,i_0_394,i_0_270,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214,i_0_224,i_0_213,i_0_273,i_0_292,i_0_293,i_0_286,i_0_287,i_0_289,i_0_294]) ).
cnf(i_0_502,plain,
~ proper_subset(set_union2(X1,X1),X1),
inference(rename_variables,[],[i_0_379]) ).
cnf(i_0_503,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(scs_inference,[],[i_0_257,i_0_314,i_0_372,i_0_443,i_0_446,i_0_491,i_0_496,i_0_498,i_0_312,i_0_376,i_0_379,i_0_378,i_0_265,i_0_343,i_0_315,i_0_327,i_0_345,i_0_349,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_407,i_0_351,i_0_336,i_0_355,i_0_394,i_0_270,i_0_309,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214,i_0_224,i_0_213,i_0_273,i_0_292,i_0_293,i_0_286,i_0_287,i_0_289,i_0_294,i_0_177]) ).
cnf(i_0_504,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_309]) ).
cnf(i_0_505,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_177]) ).
cnf(i_0_506,plain,
~ disjoint(powerset(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),unordered_pair(empty_set,empty_set)),
inference(scs_inference,[],[i_0_257,i_0_314,i_0_372,i_0_443,i_0_446,i_0_491,i_0_496,i_0_498,i_0_312,i_0_376,i_0_379,i_0_378,i_0_265,i_0_343,i_0_315,i_0_327,i_0_345,i_0_349,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_407,i_0_351,i_0_336,i_0_355,i_0_394,i_0_270,i_0_309,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214,i_0_224,i_0_213,i_0_273,i_0_292,i_0_293,i_0_286,i_0_287,i_0_289,i_0_294,i_0_177,i_0_179]) ).
cnf(i_0_507,plain,
( ~ in(X1,set_difference(X2,set_difference(X2,X3)))
| ~ disjoint(X2,X3) ),
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_508,plain,
empty_set = set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_257,i_0_314,i_0_372,i_0_443,i_0_446,i_0_491,i_0_496,i_0_498,i_0_312,i_0_376,i_0_379,i_0_378,i_0_265,i_0_485,i_0_343,i_0_315,i_0_327,i_0_345,i_0_349,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_407,i_0_351,i_0_336,i_0_355,i_0_394,i_0_270,i_0_309,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214,i_0_224,i_0_213,i_0_273,i_0_292,i_0_293,i_0_286,i_0_287,i_0_289,i_0_294,i_0_177,i_0_179,i_0_237]) ).
cnf(i_0_509,plain,
subset(empty_set,X1),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_510,plain,
( proper_subset(X1,X2)
| ~ subset(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_237]) ).
cnf(i_0_511,plain,
~ subset(powerset(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),empty_set),
inference(scs_inference,[],[i_0_257,i_0_314,i_0_372,i_0_443,i_0_446,i_0_491,i_0_496,i_0_498,i_0_312,i_0_376,i_0_379,i_0_378,i_0_265,i_0_485,i_0_343,i_0_315,i_0_327,i_0_345,i_0_349,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_407,i_0_351,i_0_336,i_0_355,i_0_321,i_0_394,i_0_270,i_0_309,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214,i_0_224,i_0_213,i_0_273,i_0_292,i_0_293,i_0_286,i_0_287,i_0_289,i_0_294,i_0_177,i_0_179,i_0_237,i_0_212]) ).
cnf(i_0_512,plain,
disjoint(empty_set,X1),
inference(rename_variables,[],[i_0_321]) ).
cnf(i_0_513,plain,
( ~ disjoint(X1,X2)
| disjoint(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_212]) ).
cnf(i_0_514,plain,
( in(esk4_3(empty_set,empty_set,powerset(empty_set)),powerset(empty_set))
| esk4_3(empty_set,empty_set,powerset(empty_set)) = empty_set ),
inference(scs_inference,[],[i_0_257,i_0_314,i_0_372,i_0_443,i_0_446,i_0_491,i_0_496,i_0_498,i_0_312,i_0_376,i_0_379,i_0_378,i_0_265,i_0_485,i_0_343,i_0_315,i_0_327,i_0_345,i_0_349,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_407,i_0_351,i_0_336,i_0_355,i_0_321,i_0_394,i_0_270,i_0_309,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214,i_0_224,i_0_213,i_0_273,i_0_292,i_0_293,i_0_286,i_0_287,i_0_289,i_0_294,i_0_177,i_0_179,i_0_237,i_0_212,i_0_505]) ).
cnf(i_0_515,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_177]) ).
cnf(i_0_516,plain,
( esk4_3(empty_set,empty_set,powerset(empty_set)) = empty_set
| subset(esk4_3(empty_set,empty_set,powerset(empty_set)),empty_set) ),
inference(scs_inference,[],[i_0_257,i_0_314,i_0_372,i_0_443,i_0_446,i_0_491,i_0_496,i_0_498,i_0_312,i_0_376,i_0_379,i_0_378,i_0_265,i_0_485,i_0_343,i_0_315,i_0_327,i_0_345,i_0_349,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_407,i_0_351,i_0_336,i_0_355,i_0_321,i_0_394,i_0_270,i_0_309,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214,i_0_224,i_0_213,i_0_273,i_0_292,i_0_293,i_0_286,i_0_287,i_0_289,i_0_294,i_0_177,i_0_179,i_0_237,i_0_212,i_0_505,i_0_305]) ).
cnf(i_0_517,plain,
( ~ in(X1,powerset(X2))
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_305]) ).
cnf(i_0_518,plain,
esk4_3(empty_set,empty_set,powerset(empty_set)) = empty_set,
inference(scs_inference,[],[i_0_257,i_0_314,i_0_372,i_0_443,i_0_446,i_0_491,i_0_496,i_0_498,i_0_312,i_0_376,i_0_379,i_0_378,i_0_265,i_0_485,i_0_343,i_0_315,i_0_327,i_0_345,i_0_349,i_0_353,i_0_412,i_0_465,i_0_468,i_0_471,i_0_407,i_0_351,i_0_336,i_0_355,i_0_321,i_0_394,i_0_270,i_0_309,i_0_304,i_0_197,i_0_229,i_0_230,i_0_252,i_0_258,i_0_296,i_0_299,i_0_300,i_0_259,i_0_301,i_0_302,i_0_306,i_0_215,i_0_216,i_0_217,i_0_272,i_0_193,i_0_298,i_0_214,i_0_224,i_0_213,i_0_273,i_0_292,i_0_293,i_0_286,i_0_287,i_0_289,i_0_294,i_0_177,i_0_179,i_0_237,i_0_212,i_0_505,i_0_305,i_0_256]) ).
cnf(i_0_519,plain,
( ~ subset(X1,empty_set)
| X1 = empty_set ),
inference(rename_variables,[],[i_0_256]) ).
cnf(i_0_520,plain,
~ in(unordered_pair(X1,X1),X1),
inference(rename_variables,[],[i_0_327]) ).
cnf(i_0_521,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_372]) ).
cnf(i_0_522,plain,
set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
inference(rename_variables,[],[i_0_195]) ).
cnf(i_0_523,plain,
~ in(unordered_pair(X1,X1),X1),
inference(rename_variables,[],[i_0_327]) ).
cnf(i_0_524,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_525,plain,
in(X1,unordered_pair(X1,X1)),
inference(rename_variables,[],[i_0_315]) ).
cnf(i_0_526,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_372]) ).
cnf(i_0_528,plain,
~ disjoint(powerset(X1),unordered_pair(empty_set,empty_set)),
inference(scs_inference,[],[i_0_478,i_0_179]) ).
cnf(i_0_529,plain,
in(empty_set,set_difference(powerset(X1),set_difference(X2,unordered_pair(empty_set,empty_set)))),
inference(rename_variables,[],[i_0_478]) ).
cnf(i_0_530,plain,
( ~ in(X1,set_difference(X2,set_difference(X2,X3)))
| ~ disjoint(X2,X3) ),
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_531,plain,
in(X1,esk2_1(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)))),
inference(scs_inference,[],[i_0_456,i_0_478,i_0_179,i_0_197]) ).
cnf(i_0_532,plain,
subset(X1,esk2_1(unordered_pair(X1,X1))),
inference(rename_variables,[],[i_0_456]) ).
cnf(i_0_533,plain,
( ~ subset(unordered_pair(X1,X1),X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_197]) ).
cnf(i_0_534,plain,
~ in(powerset(X1),X1),
inference(scs_inference,[],[i_0_361,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229]) ).
cnf(i_0_535,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_229]) ).
cnf(i_0_536,plain,
subset(esk4_3(empty_set,empty_set,empty_set),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_503,i_0_361,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230]) ).
cnf(i_0_537,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_538,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_539,plain,
~ in(X1,esk4_3(empty_set,empty_set,empty_set)),
inference(scs_inference,[],[i_0_503,i_0_537,i_0_361,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252]) ).
cnf(i_0_540,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_541,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_252]) ).
cnf(i_0_542,plain,
~ in(esk9_0,set_difference(X1,set_difference(X1,unordered_pair(esk10_0,esk10_0)))),
inference(scs_inference,[],[i_0_503,i_0_537,i_0_435,i_0_361,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296]) ).
cnf(i_0_543,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_296]) ).
cnf(i_0_544,plain,
~ in(X1,set_difference(X2,powerset(X1))),
inference(scs_inference,[],[i_0_503,i_0_537,i_0_435,i_0_361,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299]) ).
cnf(i_0_545,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_546,plain,
~ in(esk9_0,set_difference(unordered_pair(esk10_0,esk10_0),X1)),
inference(scs_inference,[],[i_0_503,i_0_537,i_0_435,i_0_361,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300]) ).
cnf(i_0_547,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_548,plain,
~ in(empty_set,unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_503,i_0_537,i_0_435,i_0_492,i_0_361,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304]) ).
cnf(i_0_549,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_304]) ).
cnf(i_0_550,plain,
subset(set_difference(X1,set_difference(X1,empty_set)),set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_474,i_0_503,i_0_537,i_0_435,i_0_492,i_0_361,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258]) ).
cnf(i_0_551,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_258]) ).
cnf(i_0_552,plain,
in(X1,set_union2(powerset(X1),X2)),
inference(scs_inference,[],[i_0_474,i_0_503,i_0_537,i_0_435,i_0_492,i_0_361,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301]) ).
cnf(i_0_553,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_301]) ).
cnf(i_0_554,plain,
in(X1,set_union2(X2,powerset(X1))),
inference(scs_inference,[],[i_0_474,i_0_503,i_0_537,i_0_435,i_0_492,i_0_361,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302]) ).
cnf(i_0_555,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_556,plain,
in(set_difference(X1,X2),powerset(X1)),
inference(scs_inference,[],[i_0_474,i_0_503,i_0_537,i_0_435,i_0_492,i_0_361,i_0_235,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306]) ).
cnf(i_0_557,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_306]) ).
cnf(i_0_558,plain,
subset(X1,esk4_3(X1,X1,empty_set)),
inference(scs_inference,[],[i_0_474,i_0_503,i_0_537,i_0_540,i_0_435,i_0_492,i_0_361,i_0_235,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259]) ).
cnf(i_0_559,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_560,plain,
subset(set_difference(empty_set,X1),X2),
inference(scs_inference,[],[i_0_474,i_0_503,i_0_537,i_0_540,i_0_435,i_0_492,i_0_361,i_0_355,i_0_235,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217]) ).
cnf(i_0_561,plain,
~ in(X1,set_difference(empty_set,X2)),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_562,plain,
( in(esk6_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_217]) ).
cnf(i_0_563,plain,
disjoint(set_difference(empty_set,X1),X2),
inference(scs_inference,[],[i_0_474,i_0_503,i_0_537,i_0_540,i_0_435,i_0_492,i_0_361,i_0_355,i_0_561,i_0_235,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215]) ).
cnf(i_0_564,plain,
~ in(X1,set_difference(empty_set,X2)),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_565,plain,
( in(esk12_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_215]) ).
cnf(i_0_566,plain,
disjoint(X1,set_difference(empty_set,X2)),
inference(scs_inference,[],[i_0_474,i_0_503,i_0_537,i_0_540,i_0_435,i_0_492,i_0_361,i_0_355,i_0_561,i_0_564,i_0_235,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216]) ).
cnf(i_0_567,plain,
~ in(X1,set_difference(empty_set,X2)),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_568,plain,
( in(esk12_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_216]) ).
cnf(i_0_569,plain,
set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)) = set_difference(X1,set_difference(X1,empty_set)),
inference(scs_inference,[],[i_0_474,i_0_503,i_0_537,i_0_540,i_0_435,i_0_492,i_0_361,i_0_355,i_0_561,i_0_564,i_0_235,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272]) ).
cnf(i_0_570,plain,
~ disjoint(powerset(X1),esk4_3(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set),empty_set)),
inference(scs_inference,[],[i_0_474,i_0_503,i_0_537,i_0_540,i_0_435,i_0_492,i_0_361,i_0_355,i_0_561,i_0_564,i_0_235,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291]) ).
cnf(i_0_571,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_572,plain,
~ disjoint(esk4_3(powerset(X1),powerset(X1),empty_set),unordered_pair(empty_set,empty_set)),
inference(scs_inference,[],[i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_435,i_0_492,i_0_361,i_0_355,i_0_561,i_0_564,i_0_235,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290]) ).
cnf(i_0_573,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_574,plain,
~ subset(unordered_pair(powerset(X1),powerset(X1)),X1),
inference(scs_inference,[],[i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_435,i_0_372,i_0_492,i_0_361,i_0_355,i_0_561,i_0_564,i_0_235,i_0_440,i_0_456,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226]) ).
cnf(i_0_575,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_372]) ).
cnf(i_0_576,plain,
~ in(unordered_pair(X1,X1),esk2_1(unordered_pair(X1,X1))),
inference(rename_variables,[],[i_0_440]) ).
cnf(i_0_577,plain,
( X1 != powerset(X2)
| in(X3,X1)
| ~ subset(X3,X2) ),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_578,plain,
~ in(esk4_3(empty_set,empty_set,powerset(empty_set)),powerset(empty_set)),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_435,i_0_372,i_0_492,i_0_361,i_0_355,i_0_561,i_0_564,i_0_235,i_0_440,i_0_456,i_0_518,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172]) ).
cnf(i_0_579,plain,
( esk4_3(X1,X2,X3) != X1
| ~ in(esk4_3(X1,X2,X3),X3)
| X3 = unordered_pair(X1,X2) ),
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_580,plain,
~ in(X1,set_difference(set_difference(X2,powerset(X1)),empty_set)),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_435,i_0_372,i_0_492,i_0_263,i_0_361,i_0_355,i_0_561,i_0_564,i_0_235,i_0_440,i_0_456,i_0_518,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202]) ).
cnf(i_0_581,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_582,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_583,plain,
unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)) != X1,
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_435,i_0_372,i_0_575,i_0_492,i_0_263,i_0_361,i_0_355,i_0_561,i_0_564,i_0_235,i_0_440,i_0_576,i_0_456,i_0_518,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232]) ).
cnf(i_0_584,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_372]) ).
cnf(i_0_585,plain,
~ in(unordered_pair(X1,X1),esk2_1(unordered_pair(X1,X1))),
inference(rename_variables,[],[i_0_440]) ).
cnf(i_0_586,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X2 ),
inference(rename_variables,[],[i_0_232]) ).
cnf(i_0_587,plain,
unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)) != X2,
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_435,i_0_372,i_0_575,i_0_584,i_0_492,i_0_263,i_0_361,i_0_355,i_0_561,i_0_564,i_0_235,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233]) ).
cnf(i_0_588,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_372]) ).
cnf(i_0_589,plain,
~ in(unordered_pair(X1,X1),esk2_1(unordered_pair(X1,X1))),
inference(rename_variables,[],[i_0_440]) ).
cnf(i_0_590,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X3 ),
inference(rename_variables,[],[i_0_233]) ).
cnf(i_0_591,plain,
in(esk2_1(unordered_pair(X1,X1)),set_difference(unordered_pair(X1,X1),set_difference(empty_set,X2))),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_435,i_0_372,i_0_575,i_0_584,i_0_492,i_0_263,i_0_361,i_0_355,i_0_561,i_0_564,i_0_567,i_0_235,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298]) ).
cnf(i_0_592,plain,
~ in(X1,set_difference(empty_set,X2)),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_593,plain,
( ~ in(X1,X2)
| in(X1,X3)
| in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_298]) ).
cnf(i_0_594,plain,
esk2_1(unordered_pair(empty_set,empty_set)) = set_difference(empty_set,X1),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_435,i_0_372,i_0_575,i_0_584,i_0_492,i_0_263,i_0_361,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_235,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193]) ).
cnf(i_0_595,plain,
~ in(X1,esk2_1(unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_445]) ).
cnf(i_0_596,plain,
~ in(X1,set_difference(empty_set,X2)),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_597,plain,
( in(esk11_2(X1,X2),X1)
| in(esk11_2(X1,X2),X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_193]) ).
cnf(i_0_598,plain,
~ subset(unordered_pair(X1,X1),set_difference(empty_set,X2)),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_435,i_0_372,i_0_575,i_0_584,i_0_492,i_0_263,i_0_361,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214]) ).
cnf(i_0_599,plain,
~ in(X1,set_difference(empty_set,X2)),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_600,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_214]) ).
cnf(i_0_601,plain,
empty_set = set_difference(empty_set,X1),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_435,i_0_372,i_0_575,i_0_584,i_0_492,i_0_263,i_0_361,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_265,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224]) ).
cnf(i_0_602,plain,
subset(empty_set,X1),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_603,plain,
subset(set_difference(X1,X2),X1),
inference(rename_variables,[],[i_0_235]) ).
cnf(i_0_604,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_224]) ).
cnf(i_0_605,plain,
~ subset(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),set_difference(set_difference(empty_set,X3),X4)),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_435,i_0_372,i_0_575,i_0_584,i_0_492,i_0_263,i_0_419,i_0_361,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_265,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213]) ).
cnf(i_0_606,plain,
subset(set_difference(X1,X2),X1),
inference(rename_variables,[],[i_0_235]) ).
cnf(i_0_607,plain,
( ~ subset(X1,X2)
| subset(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_213]) ).
cnf(i_0_608,plain,
disjoint(set_difference(X1,X2),set_difference(X1,X1)),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_435,i_0_372,i_0_575,i_0_584,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_478,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212]) ).
cnf(i_0_609,plain,
disjoint(X1,set_difference(X1,X1)),
inference(rename_variables,[],[i_0_332]) ).
cnf(i_0_610,plain,
( ~ disjoint(X1,X2)
| disjoint(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_212]) ).
cnf(i_0_611,plain,
esk9_0 != unordered_pair(X1,X1),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_435,i_0_372,i_0_575,i_0_584,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_269,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_478,i_0_349,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_292]) ).
cnf(i_0_612,plain,
~ proper_subset(set_difference(X1,set_difference(X1,empty_set)),empty_set),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_435,i_0_372,i_0_575,i_0_584,i_0_501,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_269,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_478,i_0_349,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_292,i_0_293]) ).
cnf(i_0_613,plain,
~ proper_subset(set_union2(set_union2(X1,X1),set_union2(X1,X1)),X1),
inference(rename_variables,[],[i_0_501]) ).
cnf(i_0_614,plain,
~ subset(esk4_3(unordered_pair(X1,X1),unordered_pair(X1,X1),empty_set),set_difference(empty_set,X2)),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_573,i_0_435,i_0_372,i_0_575,i_0_584,i_0_501,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_269,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_478,i_0_349,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_292,i_0_293,i_0_288]) ).
cnf(i_0_615,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_616,plain,
powerset(empty_set) != esk4_3(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set),empty_set),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_573,i_0_615,i_0_435,i_0_372,i_0_575,i_0_584,i_0_501,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_269,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_478,i_0_349,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_292,i_0_293,i_0_288,i_0_273]) ).
cnf(i_0_617,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_618,plain,
~ in(esk4_3(esk9_0,esk9_0,empty_set),unordered_pair(esk10_0,esk10_0)),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_573,i_0_615,i_0_617,i_0_435,i_0_372,i_0_575,i_0_584,i_0_501,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_269,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_478,i_0_349,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_292,i_0_293,i_0_288,i_0_273,i_0_286]) ).
cnf(i_0_619,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_620,plain,
~ proper_subset(empty_set,set_difference(X1,set_difference(X1,empty_set))),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_573,i_0_615,i_0_617,i_0_435,i_0_372,i_0_575,i_0_584,i_0_493,i_0_501,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_269,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_478,i_0_349,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_292,i_0_293,i_0_288,i_0_273,i_0_286,i_0_294]) ).
cnf(i_0_621,plain,
~ proper_subset(X1,set_union2(set_union2(X1,X1),set_union2(X1,X1))),
inference(rename_variables,[],[i_0_493]) ).
cnf(i_0_622,plain,
~ subset(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),esk4_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),empty_set)),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_573,i_0_615,i_0_617,i_0_619,i_0_435,i_0_372,i_0_575,i_0_584,i_0_493,i_0_501,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_407,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_269,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_478,i_0_349,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_292,i_0_293,i_0_288,i_0_273,i_0_286,i_0_294,i_0_289]) ).
cnf(i_0_623,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_624,plain,
~ in(esk9_0,esk4_3(unordered_pair(esk10_0,esk10_0),unordered_pair(esk10_0,esk10_0),empty_set)),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_573,i_0_615,i_0_617,i_0_619,i_0_623,i_0_435,i_0_372,i_0_575,i_0_584,i_0_493,i_0_501,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_407,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_269,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_478,i_0_349,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_292,i_0_293,i_0_288,i_0_273,i_0_286,i_0_294,i_0_289,i_0_287]) ).
cnf(i_0_625,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_626,plain,
in(X1,set_difference(powerset(X1),set_difference(powerset(X1),powerset(X1)))),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_573,i_0_615,i_0_617,i_0_619,i_0_623,i_0_435,i_0_372,i_0_575,i_0_584,i_0_493,i_0_501,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_407,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_269,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_478,i_0_349,i_0_195,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_292,i_0_293,i_0_288,i_0_273,i_0_286,i_0_294,i_0_289,i_0_287,i_0_185]) ).
cnf(i_0_627,plain,
set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
inference(rename_variables,[],[i_0_195]) ).
cnf(i_0_628,plain,
( X1 != set_difference(X2,set_difference(X2,X3))
| ~ in(X4,X3)
| ~ in(X4,X2)
| in(X4,X1) ),
inference(rename_variables,[],[i_0_185]) ).
cnf(i_0_629,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_573,i_0_615,i_0_617,i_0_619,i_0_623,i_0_435,i_0_372,i_0_575,i_0_584,i_0_493,i_0_501,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_407,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_269,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_338,i_0_478,i_0_349,i_0_195,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_292,i_0_293,i_0_288,i_0_273,i_0_286,i_0_294,i_0_289,i_0_287,i_0_185,i_0_177]) ).
cnf(i_0_630,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_338]) ).
cnf(i_0_631,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_177]) ).
cnf(i_0_632,plain,
~ in(set_union2(X1,X2),set_difference(set_difference(empty_set,X3),X4)),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_573,i_0_615,i_0_617,i_0_619,i_0_623,i_0_435,i_0_372,i_0_575,i_0_584,i_0_493,i_0_501,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_407,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_269,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_338,i_0_478,i_0_349,i_0_195,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_292,i_0_293,i_0_288,i_0_273,i_0_286,i_0_294,i_0_289,i_0_287,i_0_185,i_0_177,i_0_207]) ).
cnf(i_0_633,plain,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_634,plain,
disjoint(set_difference(X1,X1),set_difference(X1,X2)),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_573,i_0_615,i_0_617,i_0_619,i_0_623,i_0_435,i_0_372,i_0_575,i_0_584,i_0_493,i_0_501,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_407,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_269,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_338,i_0_478,i_0_349,i_0_195,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_292,i_0_293,i_0_288,i_0_273,i_0_286,i_0_294,i_0_289,i_0_287,i_0_185,i_0_177,i_0_207,i_0_242]) ).
cnf(i_0_635,plain,
( ~ disjoint(X1,X2)
| disjoint(X2,X1) ),
inference(rename_variables,[],[i_0_242]) ).
cnf(i_0_636,plain,
~ subset(unordered_pair(esk10_0,esk10_0),empty_set),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_573,i_0_615,i_0_617,i_0_619,i_0_623,i_0_435,i_0_372,i_0_575,i_0_584,i_0_493,i_0_501,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_407,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_269,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_338,i_0_478,i_0_349,i_0_195,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_292,i_0_293,i_0_288,i_0_273,i_0_286,i_0_294,i_0_289,i_0_287,i_0_185,i_0_177,i_0_207,i_0_242,i_0_183]) ).
cnf(i_0_637,plain,
( subset(X1,set_difference(X2,unordered_pair(X3,X3)))
| ~ subset(X1,X2)
| in(X3,X1) ),
inference(rename_variables,[],[i_0_183]) ).
cnf(i_0_638,plain,
( ~ in(powerset(set_difference(X1,set_difference(X1,X2))),X2)
| ~ in(powerset(set_difference(X1,set_difference(X1,X2))),X1) ),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_573,i_0_615,i_0_617,i_0_619,i_0_623,i_0_435,i_0_372,i_0_575,i_0_584,i_0_493,i_0_501,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_407,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_269,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_338,i_0_478,i_0_349,i_0_195,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_292,i_0_293,i_0_288,i_0_273,i_0_286,i_0_294,i_0_289,i_0_287,i_0_185,i_0_177,i_0_207,i_0_242,i_0_183,i_0_295]) ).
cnf(i_0_639,plain,
( in(X1,set_difference(X2,set_difference(X2,X3)))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_295]) ).
cnf(i_0_640,plain,
empty_set = set_difference(X1,set_difference(X1,empty_set)),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_573,i_0_615,i_0_617,i_0_619,i_0_623,i_0_435,i_0_372,i_0_575,i_0_584,i_0_493,i_0_501,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_407,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_602,i_0_269,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_338,i_0_478,i_0_349,i_0_195,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_292,i_0_293,i_0_288,i_0_273,i_0_286,i_0_294,i_0_289,i_0_287,i_0_185,i_0_177,i_0_207,i_0_242,i_0_183,i_0_295,i_0_237]) ).
cnf(i_0_641,plain,
subset(empty_set,X1),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_642,plain,
( proper_subset(X1,X2)
| ~ subset(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_237]) ).
cnf(i_0_643,plain,
( in(esk5_3(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set),powerset(empty_set)),powerset(empty_set))
| in(esk5_3(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set),powerset(empty_set)),unordered_pair(empty_set,empty_set)) ),
inference(scs_inference,[],[i_0_257,i_0_474,i_0_503,i_0_537,i_0_540,i_0_571,i_0_573,i_0_615,i_0_617,i_0_619,i_0_623,i_0_435,i_0_372,i_0_575,i_0_584,i_0_374,i_0_493,i_0_501,i_0_492,i_0_263,i_0_332,i_0_419,i_0_361,i_0_407,i_0_355,i_0_561,i_0_564,i_0_567,i_0_592,i_0_596,i_0_235,i_0_603,i_0_606,i_0_265,i_0_602,i_0_269,i_0_343,i_0_440,i_0_576,i_0_585,i_0_456,i_0_518,i_0_445,i_0_338,i_0_478,i_0_349,i_0_195,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_304,i_0_258,i_0_301,i_0_302,i_0_306,i_0_259,i_0_217,i_0_215,i_0_216,i_0_272,i_0_291,i_0_290,i_0_226,i_0_172,i_0_202,i_0_232,i_0_233,i_0_298,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_292,i_0_293,i_0_288,i_0_273,i_0_286,i_0_294,i_0_289,i_0_287,i_0_185,i_0_177,i_0_207,i_0_242,i_0_183,i_0_295,i_0_237,i_0_170]) ).
cnf(i_0_644,plain,
( X1 = set_union2(X2,X3)
| in(esk5_3(X2,X3,X1),X1)
| in(esk5_3(X2,X3,X1),X2)
| in(esk5_3(X2,X3,X1),X3) ),
inference(rename_variables,[],[i_0_170]) ).
cnf(i_0_645,plain,
~ in(set_union2(X1,X2),esk4_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),empty_set)),
inference(scs_inference,[],[i_0_622,i_0_207]) ).
cnf(i_0_646,plain,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_647,plain,
~ disjoint(powerset(X1),powerset(X1)),
inference(scs_inference,[],[i_0_626,i_0_622,i_0_207,i_0_179]) ).
cnf(i_0_648,plain,
( ~ in(X1,set_difference(X2,set_difference(X2,X3)))
| ~ disjoint(X2,X3) ),
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_649,plain,
in(X1,esk4_3(unordered_pair(X1,X1),unordered_pair(X1,X1),empty_set)),
inference(scs_inference,[],[i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197]) ).
cnf(i_0_650,plain,
subset(X1,esk4_3(X1,X1,empty_set)),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_651,plain,
( ~ subset(unordered_pair(X1,X1),X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_197]) ).
cnf(i_0_652,plain,
~ in(set_union2(unordered_pair(X1,X1),X2),esk2_1(unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_458,i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197,i_0_229]) ).
cnf(i_0_653,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_229]) ).
cnf(i_0_654,plain,
subset(esk4_3(empty_set,empty_set,esk9_0),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_629,i_0_458,i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230]) ).
cnf(i_0_655,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_656,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_657,plain,
~ in(X1,esk4_3(empty_set,empty_set,esk9_0)),
inference(scs_inference,[],[i_0_629,i_0_655,i_0_458,i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252]) ).
cnf(i_0_658,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_659,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_252]) ).
cnf(i_0_660,plain,
~ in(X1,set_difference(X2,set_difference(X2,set_difference(empty_set,X3)))),
inference(scs_inference,[],[i_0_629,i_0_655,i_0_458,i_0_355,i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296]) ).
cnf(i_0_661,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_296]) ).
cnf(i_0_662,plain,
~ in(X1,set_difference(X2,set_union2(unordered_pair(X1,X1),X3))),
inference(scs_inference,[],[i_0_629,i_0_655,i_0_458,i_0_357,i_0_355,i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299]) ).
cnf(i_0_663,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_664,plain,
~ in(esk4_3(empty_set,empty_set,powerset(empty_set)),set_difference(powerset(empty_set),X1)),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_458,i_0_357,i_0_355,i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300]) ).
cnf(i_0_665,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_666,plain,
in(X1,set_union2(set_union2(unordered_pair(X1,X1),X2),X3)),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_458,i_0_357,i_0_355,i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301]) ).
cnf(i_0_667,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_301]) ).
cnf(i_0_668,plain,
in(X1,set_union2(X2,set_union2(unordered_pair(X1,X1),X3))),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_458,i_0_357,i_0_355,i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302]) ).
cnf(i_0_669,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_670,plain,
~ in(esk9_0,unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_611,i_0_458,i_0_357,i_0_355,i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304]) ).
cnf(i_0_671,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_304]) ).
cnf(i_0_672,plain,
in(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),powerset(X1)),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_611,i_0_458,i_0_357,i_0_470,i_0_355,i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306]) ).
cnf(i_0_673,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_306]) ).
cnf(i_0_674,plain,
subset(esk4_3(X1,X1,esk9_0),X1),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_611,i_0_458,i_0_357,i_0_470,i_0_355,i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258]) ).
cnf(i_0_675,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_258]) ).
cnf(i_0_676,plain,
subset(set_difference(X1,set_difference(X1,empty_set)),X2),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_611,i_0_458,i_0_357,i_0_470,i_0_351,i_0_355,i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217]) ).
cnf(i_0_677,plain,
~ in(X1,set_difference(X2,set_difference(X2,empty_set))),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_678,plain,
( in(esk6_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_217]) ).
cnf(i_0_679,plain,
subset(X1,esk4_3(X1,X1,esk9_0)),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_611,i_0_458,i_0_357,i_0_470,i_0_351,i_0_355,i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259]) ).
cnf(i_0_680,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_681,plain,
disjoint(set_difference(X1,set_difference(X1,empty_set)),X2),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_611,i_0_458,i_0_357,i_0_470,i_0_351,i_0_677,i_0_355,i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215]) ).
cnf(i_0_682,plain,
~ in(X1,set_difference(X2,set_difference(X2,empty_set))),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_683,plain,
( in(esk12_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_215]) ).
cnf(i_0_684,plain,
disjoint(X1,set_difference(X2,set_difference(X2,empty_set))),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_611,i_0_458,i_0_357,i_0_470,i_0_351,i_0_677,i_0_682,i_0_355,i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216]) ).
cnf(i_0_685,plain,
~ in(X1,set_difference(X2,set_difference(X2,empty_set))),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_686,plain,
( in(esk12_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_216]) ).
cnf(i_0_687,plain,
X1 = esk4_3(X1,X1,esk9_0),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_611,i_0_458,i_0_357,i_0_470,i_0_351,i_0_677,i_0_682,i_0_355,i_0_626,i_0_558,i_0_622,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272]) ).
cnf(i_0_688,plain,
~ subset(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),empty_set),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_548,i_0_611,i_0_458,i_0_357,i_0_470,i_0_351,i_0_677,i_0_682,i_0_355,i_0_626,i_0_558,i_0_622,i_0_598,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183]) ).
cnf(i_0_689,plain,
~ subset(unordered_pair(X1,X1),set_difference(empty_set,X2)),
inference(rename_variables,[],[i_0_598]) ).
cnf(i_0_690,plain,
( subset(X1,set_difference(X2,unordered_pair(X3,X3)))
| ~ subset(X1,X2)
| in(X3,X1) ),
inference(rename_variables,[],[i_0_183]) ).
cnf(i_0_691,plain,
~ in(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),esk4_3(powerset(empty_set),powerset(empty_set),esk9_0)),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_548,i_0_611,i_0_458,i_0_357,i_0_470,i_0_351,i_0_677,i_0_682,i_0_394,i_0_355,i_0_626,i_0_558,i_0_622,i_0_598,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225]) ).
cnf(i_0_692,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_693,plain,
( X1 != powerset(X2)
| subset(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_225]) ).
cnf(i_0_694,plain,
~ subset(unordered_pair(X1,X1),empty_set),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_548,i_0_611,i_0_458,i_0_357,i_0_470,i_0_351,i_0_677,i_0_682,i_0_394,i_0_355,i_0_626,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180]) ).
cnf(i_0_695,plain,
~ subset(unordered_pair(X1,X1),set_difference(empty_set,X2)),
inference(rename_variables,[],[i_0_598]) ).
cnf(i_0_696,plain,
subset(X1,esk4_3(X1,X1,empty_set)),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_697,plain,
( subset(X1,set_difference(X2,set_difference(X2,X3)))
| ~ subset(X1,X3)
| ~ subset(X1,X2) ),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_698,plain,
~ in(powerset(esk4_3(set_union2(X1,X2),set_union2(X1,X2),esk9_0)),X1),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_548,i_0_611,i_0_458,i_0_357,i_0_470,i_0_351,i_0_677,i_0_682,i_0_394,i_0_355,i_0_534,i_0_626,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210]) ).
cnf(i_0_699,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_700,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_701,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_702,plain,
~ in(powerset(esk4_3(set_union2(X1,X2),set_union2(X1,X2),esk9_0)),X2),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_548,i_0_611,i_0_458,i_0_357,i_0_470,i_0_351,i_0_677,i_0_682,i_0_394,i_0_355,i_0_534,i_0_700,i_0_626,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211]) ).
cnf(i_0_703,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_704,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_705,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X3) ),
inference(rename_variables,[],[i_0_211]) ).
cnf(i_0_706,plain,
~ subset(powerset(esk4_3(powerset(X1),powerset(X1),esk9_0)),X1),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_548,i_0_611,i_0_458,i_0_357,i_0_470,i_0_351,i_0_677,i_0_682,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_626,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226]) ).
cnf(i_0_707,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_708,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_709,plain,
( X1 != powerset(X2)
| in(X3,X1)
| ~ subset(X3,X2) ),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_710,plain,
~ in(X1,set_union2(set_difference(X2,powerset(X1)),empty_set)),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_548,i_0_611,i_0_264,i_0_361,i_0_458,i_0_357,i_0_470,i_0_351,i_0_677,i_0_682,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_626,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202]) ).
cnf(i_0_711,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_264]) ).
cnf(i_0_712,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_713,plain,
powerset(esk4_3(unordered_pair(X1,X2),unordered_pair(X1,X2),esk9_0)) != X1,
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_548,i_0_611,i_0_264,i_0_361,i_0_458,i_0_357,i_0_470,i_0_351,i_0_677,i_0_682,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_626,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232]) ).
cnf(i_0_714,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_715,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_716,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X2 ),
inference(rename_variables,[],[i_0_232]) ).
cnf(i_0_717,plain,
powerset(esk4_3(unordered_pair(X1,X2),unordered_pair(X1,X2),esk9_0)) != X2,
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_548,i_0_611,i_0_264,i_0_361,i_0_458,i_0_357,i_0_470,i_0_351,i_0_677,i_0_682,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233]) ).
cnf(i_0_718,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_719,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_720,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X3 ),
inference(rename_variables,[],[i_0_233]) ).
cnf(i_0_721,plain,
~ disjoint(powerset(X1),esk4_3(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set),esk9_0)),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_548,i_0_611,i_0_264,i_0_361,i_0_458,i_0_357,i_0_470,i_0_351,i_0_677,i_0_682,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291]) ).
cnf(i_0_722,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_723,plain,
in(empty_set,set_difference(powerset(X1),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,X2)))),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_548,i_0_611,i_0_264,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298]) ).
cnf(i_0_724,plain,
( ~ in(X1,X2)
| in(X1,X3)
| in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_298]) ).
cnf(i_0_725,plain,
~ disjoint(esk4_3(powerset(X1),powerset(X1),esk9_0),esk4_3(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set),empty_set)),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_548,i_0_570,i_0_611,i_0_264,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290]) ).
cnf(i_0_726,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_727,plain,
set_difference(empty_set,X1) = set_difference(X2,set_difference(X2,empty_set)),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_548,i_0_570,i_0_611,i_0_264,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193]) ).
cnf(i_0_728,plain,
~ in(X1,set_difference(empty_set,X2)),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_729,plain,
~ in(X1,set_difference(X2,set_difference(X2,empty_set))),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_730,plain,
( in(esk11_2(X1,X2),X1)
| in(esk11_2(X1,X2),X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_193]) ).
cnf(i_0_731,plain,
~ subset(set_union2(unordered_pair(X1,X1),X2),set_difference(X3,set_difference(X3,empty_set))),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_548,i_0_570,i_0_611,i_0_264,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214]) ).
cnf(i_0_732,plain,
~ in(X1,set_difference(X2,set_difference(X2,empty_set))),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_733,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_214]) ).
cnf(i_0_734,plain,
set_difference(empty_set,X1) = set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_548,i_0_570,i_0_611,i_0_264,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_560,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214,i_0_224]) ).
cnf(i_0_735,plain,
subset(set_difference(empty_set,X1),X2),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_736,plain,
subset(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),X1),
inference(rename_variables,[],[i_0_470]) ).
cnf(i_0_737,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_224]) ).
cnf(i_0_738,plain,
~ subset(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),set_difference(X3,set_difference(X3,empty_set))),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_548,i_0_570,i_0_611,i_0_264,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_560,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214,i_0_224,i_0_213]) ).
cnf(i_0_739,plain,
( ~ subset(X1,X2)
| subset(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_213]) ).
cnf(i_0_740,plain,
~ subset(powerset(X1),set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_548,i_0_570,i_0_611,i_0_264,i_0_464,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_560,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212]) ).
cnf(i_0_741,plain,
disjoint(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),X1),
inference(rename_variables,[],[i_0_464]) ).
cnf(i_0_742,plain,
( ~ disjoint(X1,X2)
| disjoint(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_212]) ).
cnf(i_0_743,plain,
~ proper_subset(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),set_difference(X1,set_difference(X1,empty_set))),
inference(scs_inference,[],[i_0_484,i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_548,i_0_570,i_0_611,i_0_620,i_0_264,i_0_464,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_560,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_293]) ).
cnf(i_0_744,plain,
~ subset(esk4_3(unordered_pair(X1,X1),unordered_pair(X1,X1),esk9_0),set_difference(empty_set,X2)),
inference(scs_inference,[],[i_0_484,i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_726,i_0_548,i_0_570,i_0_611,i_0_620,i_0_264,i_0_464,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_695,i_0_560,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_293,i_0_288]) ).
cnf(i_0_745,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_746,plain,
~ in(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_484,i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_726,i_0_548,i_0_570,i_0_611,i_0_620,i_0_264,i_0_464,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_695,i_0_560,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_293,i_0_288,i_0_286]) ).
cnf(i_0_747,plain,
unordered_pair(X1,X1) != set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_484,i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_726,i_0_548,i_0_570,i_0_611,i_0_620,i_0_264,i_0_254,i_0_464,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_695,i_0_560,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_293,i_0_288,i_0_286,i_0_273]) ).
cnf(i_0_748,plain,
empty_set != esk10_0,
inference(scs_inference,[],[i_0_484,i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_726,i_0_548,i_0_570,i_0_611,i_0_620,i_0_264,i_0_254,i_0_464,i_0_270,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_695,i_0_560,i_0_268,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_293,i_0_288,i_0_286,i_0_273,i_0_292]) ).
cnf(i_0_749,plain,
~ proper_subset(set_difference(X1,set_difference(X1,empty_set)),set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_484,i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_726,i_0_548,i_0_570,i_0_611,i_0_612,i_0_620,i_0_264,i_0_254,i_0_464,i_0_270,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_695,i_0_560,i_0_268,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_293,i_0_288,i_0_286,i_0_273,i_0_292,i_0_294]) ).
cnf(i_0_750,plain,
~ subset(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),esk4_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),esk9_0)),
inference(scs_inference,[],[i_0_484,i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_726,i_0_745,i_0_548,i_0_570,i_0_611,i_0_612,i_0_620,i_0_264,i_0_254,i_0_464,i_0_270,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_407,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_695,i_0_560,i_0_268,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_293,i_0_288,i_0_286,i_0_273,i_0_292,i_0_294,i_0_289]) ).
cnf(i_0_751,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_752,plain,
~ in(esk4_3(empty_set,empty_set,powerset(empty_set)),esk4_3(powerset(empty_set),powerset(empty_set),esk9_0)),
inference(scs_inference,[],[i_0_484,i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_726,i_0_745,i_0_751,i_0_548,i_0_570,i_0_611,i_0_612,i_0_620,i_0_264,i_0_254,i_0_464,i_0_270,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_407,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_695,i_0_560,i_0_268,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_293,i_0_288,i_0_286,i_0_273,i_0_292,i_0_294,i_0_289,i_0_287]) ).
cnf(i_0_753,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_754,plain,
in(esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_484,i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_726,i_0_745,i_0_751,i_0_548,i_0_570,i_0_611,i_0_612,i_0_620,i_0_264,i_0_254,i_0_464,i_0_270,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_407,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_695,i_0_340,i_0_560,i_0_268,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_293,i_0_288,i_0_286,i_0_273,i_0_292,i_0_294,i_0_289,i_0_287,i_0_170]) ).
cnf(i_0_755,plain,
~ in(X1,set_union2(empty_set,empty_set)),
inference(rename_variables,[],[i_0_340]) ).
cnf(i_0_756,plain,
( X1 = set_union2(X2,X3)
| in(esk5_3(X2,X3,X1),X1)
| in(esk5_3(X2,X3,X1),X2)
| in(esk5_3(X2,X3,X1),X3) ),
inference(rename_variables,[],[i_0_170]) ).
cnf(i_0_757,plain,
~ empty(powerset(esk4_3(unordered_pair(empty_set,X1),unordered_pair(empty_set,X1),esk9_0))),
inference(scs_inference,[],[i_0_484,i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_726,i_0_745,i_0_751,i_0_548,i_0_570,i_0_611,i_0_612,i_0_620,i_0_264,i_0_254,i_0_464,i_0_270,i_0_361,i_0_458,i_0_357,i_0_470,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_407,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_695,i_0_340,i_0_560,i_0_268,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_293,i_0_288,i_0_286,i_0_273,i_0_292,i_0_294,i_0_289,i_0_287,i_0_170,i_0_267]) ).
cnf(i_0_758,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_759,plain,
~ subset(unordered_pair(X1,X1),set_difference(X2,set_difference(X2,empty_set))),
inference(scs_inference,[],[i_0_484,i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_726,i_0_745,i_0_751,i_0_548,i_0_570,i_0_611,i_0_612,i_0_620,i_0_264,i_0_254,i_0_464,i_0_270,i_0_361,i_0_458,i_0_357,i_0_470,i_0_736,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_407,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_695,i_0_340,i_0_560,i_0_268,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_293,i_0_288,i_0_286,i_0_273,i_0_292,i_0_294,i_0_289,i_0_287,i_0_170,i_0_267,i_0_192]) ).
cnf(i_0_760,plain,
subset(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),X1),
inference(rename_variables,[],[i_0_470]) ).
cnf(i_0_761,plain,
( subset(set_union2(X1,X2),X3)
| ~ subset(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_762,plain,
esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1)) = X1,
inference(scs_inference,[],[i_0_484,i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_726,i_0_745,i_0_751,i_0_548,i_0_570,i_0_611,i_0_612,i_0_620,i_0_264,i_0_254,i_0_464,i_0_270,i_0_361,i_0_458,i_0_357,i_0_470,i_0_736,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_407,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_695,i_0_340,i_0_560,i_0_268,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_293,i_0_288,i_0_286,i_0_273,i_0_292,i_0_294,i_0_289,i_0_287,i_0_170,i_0_267,i_0_192,i_0_303]) ).
cnf(i_0_763,plain,
( ~ in(X1,unordered_pair(X2,X3))
| X1 = X2
| X1 = X3 ),
inference(rename_variables,[],[i_0_303]) ).
cnf(i_0_764,plain,
unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)) != X1,
inference(rename_variables,[],[i_0_583]) ).
cnf(i_0_765,plain,
( esk4_3(X1,X2,unordered_pair(unordered_pair(unordered_pair(X1,X2),X3),unordered_pair(unordered_pair(X1,X2),X3))) = X1
| esk4_3(X1,X2,unordered_pair(unordered_pair(unordered_pair(X1,X2),X3),unordered_pair(unordered_pair(X1,X2),X3))) = X2
| in(esk4_3(X1,X2,unordered_pair(unordered_pair(unordered_pair(X1,X2),X3),unordered_pair(unordered_pair(X1,X2),X3))),unordered_pair(unordered_pair(unordered_pair(X1,X2),X3),unordered_pair(unordered_pair(X1,X2),X3))) ),
inference(scs_inference,[],[i_0_484,i_0_578,i_0_629,i_0_655,i_0_658,i_0_692,i_0_699,i_0_703,i_0_707,i_0_714,i_0_718,i_0_722,i_0_726,i_0_745,i_0_751,i_0_548,i_0_570,i_0_611,i_0_612,i_0_620,i_0_264,i_0_254,i_0_464,i_0_270,i_0_361,i_0_458,i_0_357,i_0_470,i_0_736,i_0_462,i_0_351,i_0_677,i_0_682,i_0_685,i_0_729,i_0_394,i_0_407,i_0_355,i_0_534,i_0_700,i_0_704,i_0_708,i_0_715,i_0_583,i_0_626,i_0_528,i_0_558,i_0_650,i_0_622,i_0_598,i_0_689,i_0_695,i_0_340,i_0_560,i_0_268,i_0_207,i_0_179,i_0_197,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_300,i_0_301,i_0_302,i_0_304,i_0_306,i_0_258,i_0_217,i_0_259,i_0_215,i_0_216,i_0_272,i_0_183,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_202,i_0_232,i_0_233,i_0_291,i_0_298,i_0_290,i_0_193,i_0_214,i_0_224,i_0_213,i_0_212,i_0_293,i_0_288,i_0_286,i_0_273,i_0_292,i_0_294,i_0_289,i_0_287,i_0_170,i_0_267,i_0_192,i_0_303,i_0_177]) ).
cnf(i_0_766,plain,
~ empty(powerset(esk4_3(unordered_pair(X1,empty_set),unordered_pair(X1,empty_set),esk9_0))),
inference(scs_inference,[],[i_0_717,i_0_267]) ).
cnf(i_0_767,plain,
powerset(esk4_3(unordered_pair(X1,X2),unordered_pair(X1,X2),esk9_0)) != X2,
inference(rename_variables,[],[i_0_717]) ).
cnf(i_0_768,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_769,plain,
~ in(set_union2(X1,X2),esk4_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),esk9_0)),
inference(scs_inference,[],[i_0_717,i_0_750,i_0_267,i_0_207]) ).
cnf(i_0_770,plain,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_771,plain,
in(X1,esk4_3(unordered_pair(X1,X1),unordered_pair(X1,X1),esk9_0)),
inference(scs_inference,[],[i_0_717,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197]) ).
cnf(i_0_772,plain,
subset(X1,esk4_3(X1,X1,esk9_0)),
inference(rename_variables,[],[i_0_679]) ).
cnf(i_0_773,plain,
( ~ subset(unordered_pair(X1,X1),X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_197]) ).
cnf(i_0_774,plain,
~ in(esk9_0,set_difference(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)),
inference(scs_inference,[],[i_0_670,i_0_717,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300]) ).
cnf(i_0_775,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_776,plain,
~ in(set_union2(X1,unordered_pair(X2,X2)),esk2_1(unordered_pair(X2,X2))),
inference(scs_inference,[],[i_0_670,i_0_460,i_0_717,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229]) ).
cnf(i_0_777,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_229]) ).
cnf(i_0_778,plain,
subset(esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(empty_set,empty_set)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_762,i_0_670,i_0_460,i_0_717,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230]) ).
cnf(i_0_779,plain,
esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_762]) ).
cnf(i_0_780,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_781,plain,
~ in(X1,esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_670,i_0_460,i_0_717,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252]) ).
cnf(i_0_782,plain,
esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_762]) ).
cnf(i_0_783,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_252]) ).
cnf(i_0_784,plain,
~ in(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),set_difference(X3,set_difference(X3,X2))),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_670,i_0_460,i_0_390,i_0_717,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296]) ).
cnf(i_0_785,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_296]) ).
cnf(i_0_786,plain,
~ in(empty_set,set_difference(X1,powerset(X2))),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_670,i_0_460,i_0_462,i_0_390,i_0_717,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299]) ).
cnf(i_0_787,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_788,plain,
in(empty_set,set_union2(powerset(X1),X2)),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_670,i_0_460,i_0_462,i_0_390,i_0_717,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301]) ).
cnf(i_0_789,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_301]) ).
cnf(i_0_790,plain,
in(empty_set,set_union2(X1,powerset(X2))),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_670,i_0_460,i_0_462,i_0_390,i_0_717,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302]) ).
cnf(i_0_791,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_792,plain,
in(set_union2(X1,X2),powerset(set_union2(X2,X1))),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_670,i_0_460,i_0_462,i_0_347,i_0_390,i_0_717,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306]) ).
cnf(i_0_793,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_306]) ).
cnf(i_0_794,plain,
~ in(empty_set,unordered_pair(esk10_0,esk10_0)),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_670,i_0_748,i_0_460,i_0_462,i_0_347,i_0_390,i_0_717,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304]) ).
cnf(i_0_795,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_304]) ).
cnf(i_0_796,plain,
subset(set_union2(set_difference(empty_set,X1),set_difference(empty_set,X1)),X2),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_670,i_0_748,i_0_460,i_0_462,i_0_347,i_0_390,i_0_717,i_0_387,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217]) ).
cnf(i_0_797,plain,
~ in(X1,set_union2(set_difference(empty_set,X2),set_difference(empty_set,X2))),
inference(rename_variables,[],[i_0_387]) ).
cnf(i_0_798,plain,
( in(esk6_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_217]) ).
cnf(i_0_799,plain,
disjoint(set_union2(set_difference(empty_set,X1),set_difference(empty_set,X1)),X2),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_670,i_0_748,i_0_460,i_0_462,i_0_347,i_0_390,i_0_717,i_0_387,i_0_797,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215]) ).
cnf(i_0_800,plain,
~ in(X1,set_union2(set_difference(empty_set,X2),set_difference(empty_set,X2))),
inference(rename_variables,[],[i_0_387]) ).
cnf(i_0_801,plain,
( in(esk12_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_215]) ).
cnf(i_0_802,plain,
disjoint(X1,set_union2(set_difference(empty_set,X2),set_difference(empty_set,X2))),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_670,i_0_748,i_0_460,i_0_462,i_0_347,i_0_390,i_0_717,i_0_387,i_0_797,i_0_800,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216]) ).
cnf(i_0_803,plain,
~ in(X1,set_union2(set_difference(empty_set,X2),set_difference(empty_set,X2))),
inference(rename_variables,[],[i_0_387]) ).
cnf(i_0_804,plain,
( in(esk12_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_216]) ).
cnf(i_0_805,plain,
subset(esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1)),X1),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_782,i_0_670,i_0_748,i_0_460,i_0_462,i_0_347,i_0_390,i_0_717,i_0_387,i_0_797,i_0_800,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258]) ).
cnf(i_0_806,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_258]) ).
cnf(i_0_807,plain,
subset(X1,esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_782,i_0_670,i_0_748,i_0_460,i_0_462,i_0_347,i_0_390,i_0_717,i_0_387,i_0_797,i_0_800,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259]) ).
cnf(i_0_808,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_809,plain,
X1 = esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_782,i_0_670,i_0_748,i_0_460,i_0_462,i_0_347,i_0_390,i_0_717,i_0_387,i_0_797,i_0_800,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272]) ).
cnf(i_0_810,plain,
~ subset(set_union2(unordered_pair(X1,X1),X2),empty_set),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_782,i_0_670,i_0_748,i_0_460,i_0_462,i_0_347,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180]) ).
cnf(i_0_811,plain,
~ subset(set_union2(unordered_pair(X1,X1),X2),set_difference(X3,set_difference(X3,empty_set))),
inference(rename_variables,[],[i_0_731]) ).
cnf(i_0_812,plain,
subset(set_union2(X1,X2),set_union2(X2,X1)),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_813,plain,
( subset(X1,set_difference(X2,set_difference(X2,X3)))
| ~ subset(X1,X3)
| ~ subset(X1,X2) ),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_814,plain,
in(set_difference(X1,X2),set_difference(powerset(X1),set_difference(X3,set_difference(X3,empty_set)))),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_782,i_0_670,i_0_748,i_0_460,i_0_462,i_0_351,i_0_347,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298]) ).
cnf(i_0_815,plain,
~ in(X1,set_difference(X2,set_difference(X2,empty_set))),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_816,plain,
( ~ in(X1,X2)
| in(X1,X3)
| in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_298]) ).
cnf(i_0_817,plain,
set_union2(set_difference(empty_set,X1),set_difference(empty_set,X1)) = set_difference(X2,set_difference(X2,empty_set)),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_782,i_0_670,i_0_748,i_0_460,i_0_462,i_0_351,i_0_815,i_0_347,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193]) ).
cnf(i_0_818,plain,
~ in(X1,set_union2(set_difference(empty_set,X2),set_difference(empty_set,X2))),
inference(rename_variables,[],[i_0_387]) ).
cnf(i_0_819,plain,
~ in(X1,set_difference(X2,set_difference(X2,empty_set))),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_820,plain,
( in(esk11_2(X1,X2),X1)
| in(esk11_2(X1,X2),X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_193]) ).
cnf(i_0_821,plain,
~ subset(set_union2(X1,unordered_pair(X2,X2)),set_difference(X3,set_difference(X3,empty_set))),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_782,i_0_670,i_0_748,i_0_460,i_0_462,i_0_351,i_0_815,i_0_819,i_0_347,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214]) ).
cnf(i_0_822,plain,
~ in(X1,set_difference(X2,set_difference(X2,empty_set))),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_823,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_214]) ).
cnf(i_0_824,plain,
set_union2(set_difference(empty_set,X1),set_difference(empty_set,X1)) = set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_782,i_0_670,i_0_748,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_347,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224]) ).
cnf(i_0_825,plain,
subset(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),X1),
inference(rename_variables,[],[i_0_470]) ).
cnf(i_0_826,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_224]) ).
cnf(i_0_827,plain,
~ subset(powerset(X1),empty_set),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_782,i_0_670,i_0_721,i_0_748,i_0_321,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_347,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212]) ).
cnf(i_0_828,plain,
disjoint(empty_set,X1),
inference(rename_variables,[],[i_0_321]) ).
cnf(i_0_829,plain,
( ~ disjoint(X1,X2)
| disjoint(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_212]) ).
cnf(i_0_830,plain,
~ subset(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),set_difference(set_union2(empty_set,empty_set),X3)),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_782,i_0_670,i_0_721,i_0_748,i_0_321,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_235,i_0_347,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213]) ).
cnf(i_0_831,plain,
subset(set_difference(X1,X2),X1),
inference(rename_variables,[],[i_0_235]) ).
cnf(i_0_832,plain,
( ~ subset(X1,X2)
| subset(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_213]) ).
cnf(i_0_833,plain,
~ disjoint(powerset(X1),esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(powerset(X1),powerset(X1)))),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_782,i_0_670,i_0_721,i_0_748,i_0_321,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_235,i_0_347,i_0_647,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291]) ).
cnf(i_0_834,plain,
esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_762]) ).
cnf(i_0_835,plain,
~ disjoint(esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(powerset(X1),powerset(X1))),powerset(X1)),
inference(scs_inference,[],[i_0_762,i_0_779,i_0_782,i_0_834,i_0_670,i_0_721,i_0_748,i_0_321,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_235,i_0_347,i_0_647,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290]) ).
cnf(i_0_836,plain,
esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_762]) ).
cnf(i_0_837,plain,
~ proper_subset(X1,set_union2(set_difference(X1,empty_set),set_difference(X1,empty_set))),
inference(scs_inference,[],[i_0_369,i_0_762,i_0_779,i_0_782,i_0_834,i_0_670,i_0_721,i_0_748,i_0_376,i_0_321,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_235,i_0_347,i_0_647,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_293]) ).
cnf(i_0_838,plain,
~ proper_subset(X1,set_union2(X1,X1)),
inference(rename_variables,[],[i_0_376]) ).
cnf(i_0_839,plain,
~ subset(esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1))),empty_set),
inference(scs_inference,[],[i_0_369,i_0_762,i_0_779,i_0_782,i_0_834,i_0_836,i_0_670,i_0_721,i_0_748,i_0_376,i_0_321,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_235,i_0_347,i_0_647,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_694,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_293,i_0_288]) ).
cnf(i_0_840,plain,
esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_762]) ).
cnf(i_0_841,plain,
~ in(esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(esk9_0,esk9_0)),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_369,i_0_762,i_0_779,i_0_782,i_0_834,i_0_836,i_0_840,i_0_670,i_0_721,i_0_748,i_0_376,i_0_321,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_235,i_0_347,i_0_647,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_694,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_293,i_0_288,i_0_286]) ).
cnf(i_0_842,plain,
esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_762]) ).
cnf(i_0_843,plain,
empty_set != powerset(esk4_3(unordered_pair(empty_set,X1),unordered_pair(empty_set,X1),esk9_0)),
inference(scs_inference,[],[i_0_369,i_0_762,i_0_779,i_0_782,i_0_834,i_0_836,i_0_840,i_0_670,i_0_721,i_0_748,i_0_376,i_0_321,i_0_270,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_235,i_0_347,i_0_647,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_757,i_0_694,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_293,i_0_288,i_0_286,i_0_292]) ).
cnf(i_0_844,plain,
unordered_pair(X1,X1) != set_difference(X2,set_difference(X2,empty_set)),
inference(scs_inference,[],[i_0_369,i_0_474,i_0_762,i_0_779,i_0_782,i_0_834,i_0_836,i_0_840,i_0_747,i_0_670,i_0_721,i_0_748,i_0_376,i_0_321,i_0_270,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_235,i_0_347,i_0_647,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_757,i_0_694,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_293,i_0_288,i_0_286,i_0_292,i_0_273]) ).
cnf(i_0_845,plain,
~ proper_subset(set_union2(set_difference(X1,empty_set),set_difference(X1,empty_set)),X1),
inference(scs_inference,[],[i_0_369,i_0_474,i_0_762,i_0_779,i_0_782,i_0_834,i_0_836,i_0_840,i_0_747,i_0_670,i_0_721,i_0_748,i_0_376,i_0_379,i_0_321,i_0_270,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_235,i_0_347,i_0_647,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_757,i_0_694,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_293,i_0_288,i_0_286,i_0_292,i_0_273,i_0_294]) ).
cnf(i_0_846,plain,
~ proper_subset(set_union2(X1,X1),X1),
inference(rename_variables,[],[i_0_379]) ).
cnf(i_0_847,plain,
~ subset(esk4_3(unordered_pair(X1,X1),unordered_pair(X1,X1),empty_set),empty_set),
inference(scs_inference,[],[i_0_369,i_0_474,i_0_762,i_0_779,i_0_782,i_0_834,i_0_836,i_0_840,i_0_747,i_0_670,i_0_721,i_0_748,i_0_376,i_0_379,i_0_321,i_0_270,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_235,i_0_347,i_0_647,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_757,i_0_614,i_0_694,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_293,i_0_288,i_0_286,i_0_292,i_0_273,i_0_294,i_0_289]) ).
cnf(i_0_848,plain,
~ subset(esk4_3(unordered_pair(X1,X1),unordered_pair(X1,X1),empty_set),set_difference(empty_set,X2)),
inference(rename_variables,[],[i_0_614]) ).
cnf(i_0_849,plain,
X1 = set_difference(X1,empty_set),
inference(rename_variables,[],[i_0_369]) ).
cnf(i_0_850,plain,
~ in(esk9_0,esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(unordered_pair(esk10_0,esk10_0),unordered_pair(esk10_0,esk10_0)))),
inference(scs_inference,[],[i_0_369,i_0_474,i_0_762,i_0_779,i_0_782,i_0_834,i_0_836,i_0_840,i_0_842,i_0_747,i_0_670,i_0_435,i_0_721,i_0_748,i_0_376,i_0_379,i_0_321,i_0_270,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_235,i_0_347,i_0_647,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_757,i_0_614,i_0_694,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_293,i_0_288,i_0_286,i_0_292,i_0_273,i_0_294,i_0_289,i_0_287]) ).
cnf(i_0_851,plain,
esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_762]) ).
cnf(i_0_852,plain,
~ disjoint(powerset(X1),set_difference(powerset(X1),empty_set)),
inference(scs_inference,[],[i_0_369,i_0_474,i_0_762,i_0_779,i_0_782,i_0_834,i_0_836,i_0_840,i_0_842,i_0_747,i_0_670,i_0_435,i_0_721,i_0_748,i_0_376,i_0_379,i_0_321,i_0_270,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_235,i_0_347,i_0_647,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_757,i_0_614,i_0_694,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_293,i_0_288,i_0_286,i_0_292,i_0_273,i_0_294,i_0_289,i_0_287,i_0_179]) ).
cnf(i_0_853,plain,
( ~ in(X1,set_difference(X2,set_difference(X2,X3)))
| ~ disjoint(X2,X3) ),
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_854,plain,
( ~ in(esk8_3(X1,set_difference(X1,empty_set),unordered_pair(X2,X2)),set_difference(X1,empty_set))
| in(esk8_3(X1,set_difference(X1,empty_set),unordered_pair(X2,X2)),unordered_pair(X2,X2)) ),
inference(scs_inference,[],[i_0_369,i_0_474,i_0_762,i_0_779,i_0_782,i_0_834,i_0_836,i_0_840,i_0_842,i_0_747,i_0_670,i_0_435,i_0_721,i_0_748,i_0_376,i_0_379,i_0_321,i_0_270,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_235,i_0_347,i_0_647,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_757,i_0_614,i_0_694,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_293,i_0_288,i_0_286,i_0_292,i_0_273,i_0_294,i_0_289,i_0_287,i_0_179,i_0_171]) ).
cnf(i_0_855,plain,
( X1 = set_difference(X2,X3)
| in(esk8_3(X2,X3,X1),X1)
| ~ in(esk8_3(X2,X3,X1),X3) ),
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_856,plain,
in(esk7_3(X1,empty_set,unordered_pair(X2,X2)),unordered_pair(X2,X2)),
inference(scs_inference,[],[i_0_369,i_0_474,i_0_762,i_0_779,i_0_782,i_0_834,i_0_836,i_0_840,i_0_842,i_0_747,i_0_670,i_0_435,i_0_721,i_0_748,i_0_376,i_0_379,i_0_321,i_0_270,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_235,i_0_347,i_0_647,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_757,i_0_614,i_0_694,i_0_309,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_293,i_0_288,i_0_286,i_0_292,i_0_273,i_0_294,i_0_289,i_0_287,i_0_179,i_0_171,i_0_175]) ).
cnf(i_0_857,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_309]) ).
cnf(i_0_858,plain,
( X1 = set_difference(X2,set_difference(X2,X3))
| in(esk7_3(X2,X3,X1),X1)
| in(esk7_3(X2,X3,X1),X3) ),
inference(rename_variables,[],[i_0_175]) ).
cnf(i_0_859,plain,
esk7_3(X1,empty_set,unordered_pair(X2,X2)) = X2,
inference(scs_inference,[],[i_0_369,i_0_474,i_0_762,i_0_779,i_0_782,i_0_834,i_0_836,i_0_840,i_0_842,i_0_747,i_0_670,i_0_435,i_0_721,i_0_748,i_0_376,i_0_379,i_0_321,i_0_270,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_235,i_0_347,i_0_647,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_757,i_0_614,i_0_694,i_0_309,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_293,i_0_288,i_0_286,i_0_292,i_0_273,i_0_294,i_0_289,i_0_287,i_0_179,i_0_171,i_0_175,i_0_303]) ).
cnf(i_0_860,plain,
( ~ in(X1,unordered_pair(X2,X3))
| X1 = X2
| X1 = X3 ),
inference(rename_variables,[],[i_0_303]) ).
cnf(i_0_861,plain,
empty_set = set_union2(set_difference(empty_set,empty_set),set_difference(empty_set,empty_set)),
inference(scs_inference,[],[i_0_369,i_0_474,i_0_762,i_0_779,i_0_782,i_0_834,i_0_836,i_0_840,i_0_842,i_0_747,i_0_670,i_0_435,i_0_721,i_0_748,i_0_376,i_0_379,i_0_321,i_0_270,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_265,i_0_235,i_0_347,i_0_647,i_0_556,i_0_390,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_757,i_0_614,i_0_694,i_0_309,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_293,i_0_288,i_0_286,i_0_292,i_0_273,i_0_294,i_0_289,i_0_287,i_0_179,i_0_171,i_0_175,i_0_303,i_0_237]) ).
cnf(i_0_862,plain,
subset(empty_set,X1),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_863,plain,
( proper_subset(X1,X2)
| ~ subset(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_237]) ).
cnf(i_0_864,plain,
~ in(X1,set_difference(empty_set,X2)),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_865,plain,
unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)) != X2,
inference(rename_variables,[],[i_0_587]) ).
cnf(i_0_866,plain,
( in(esk8_3(empty_set,set_difference(empty_set,empty_set),unordered_pair(X1,X1)),unordered_pair(X1,X1))
| in(esk4_3(X2,X3,unordered_pair(unordered_pair(X4,unordered_pair(X2,X3)),unordered_pair(X4,unordered_pair(X2,X3)))),unordered_pair(unordered_pair(X4,unordered_pair(X2,X3)),unordered_pair(X4,unordered_pair(X2,X3))))
| esk4_3(X2,X3,unordered_pair(unordered_pair(X4,unordered_pair(X2,X3)),unordered_pair(X4,unordered_pair(X2,X3)))) = X3
| esk4_3(X2,X3,unordered_pair(unordered_pair(X4,unordered_pair(X2,X3)),unordered_pair(X4,unordered_pair(X2,X3)))) = X2 ),
inference(scs_inference,[],[i_0_369,i_0_474,i_0_762,i_0_779,i_0_782,i_0_834,i_0_836,i_0_840,i_0_842,i_0_747,i_0_670,i_0_374,i_0_435,i_0_721,i_0_748,i_0_376,i_0_379,i_0_321,i_0_270,i_0_460,i_0_462,i_0_470,i_0_351,i_0_815,i_0_819,i_0_407,i_0_265,i_0_235,i_0_355,i_0_347,i_0_647,i_0_556,i_0_390,i_0_587,i_0_731,i_0_717,i_0_387,i_0_797,i_0_800,i_0_803,i_0_679,i_0_750,i_0_757,i_0_614,i_0_694,i_0_309,i_0_267,i_0_207,i_0_197,i_0_300,i_0_229,i_0_230,i_0_252,i_0_296,i_0_299,i_0_301,i_0_302,i_0_306,i_0_304,i_0_217,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_180,i_0_298,i_0_193,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_293,i_0_288,i_0_286,i_0_292,i_0_273,i_0_294,i_0_289,i_0_287,i_0_179,i_0_171,i_0_175,i_0_303,i_0_237,i_0_177]) ).
cnf(i_0_867,plain,
set_union2(set_difference(empty_set,X1),set_difference(empty_set,X1)) = empty_set,
inference(scs_inference,[],[i_0_796,i_0_256]) ).
cnf(i_0_868,plain,
subset(set_union2(set_difference(empty_set,X1),set_difference(empty_set,X1)),X2),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_869,plain,
( ~ subset(X1,empty_set)
| X1 = empty_set ),
inference(rename_variables,[],[i_0_256]) ).
cnf(i_0_870,plain,
~ in(set_union2(X1,X2),set_difference(set_union2(empty_set,empty_set),X3)),
inference(scs_inference,[],[i_0_830,i_0_796,i_0_256,i_0_207]) ).
cnf(i_0_871,plain,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_872,plain,
in(X1,esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)))),
inference(scs_inference,[],[i_0_830,i_0_807,i_0_796,i_0_256,i_0_207,i_0_197]) ).
cnf(i_0_873,plain,
subset(X1,esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1))),
inference(rename_variables,[],[i_0_807]) ).
cnf(i_0_874,plain,
( ~ subset(unordered_pair(X1,X1),X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_197]) ).
cnf(i_0_875,plain,
subset(esk9_0,unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_363,i_0_830,i_0_807,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230]) ).
cnf(i_0_876,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_877,plain,
~ in(X1,esk7_3(X2,empty_set,unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_363,i_0_859,i_0_830,i_0_807,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252]) ).
cnf(i_0_878,plain,
esk7_3(X1,empty_set,unordered_pair(X2,X2)) = X2,
inference(rename_variables,[],[i_0_859]) ).
cnf(i_0_879,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_252]) ).
cnf(i_0_880,plain,
~ in(unordered_pair(X1,X1),esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_363,i_0_859,i_0_754,i_0_830,i_0_807,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229]) ).
cnf(i_0_881,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_229]) ).
cnf(i_0_882,plain,
~ in(esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1)),set_difference(X2,unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_363,i_0_859,i_0_754,i_0_830,i_0_807,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299]) ).
cnf(i_0_883,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_884,plain,
~ in(empty_set,set_difference(unordered_pair(esk10_0,esk10_0),X1)),
inference(scs_inference,[],[i_0_363,i_0_859,i_0_794,i_0_754,i_0_830,i_0_807,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300]) ).
cnf(i_0_885,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_886,plain,
~ in(empty_set,set_difference(X1,set_difference(X1,unordered_pair(esk10_0,esk10_0)))),
inference(scs_inference,[],[i_0_363,i_0_859,i_0_794,i_0_754,i_0_830,i_0_807,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296]) ).
cnf(i_0_887,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_296]) ).
cnf(i_0_888,plain,
~ in(unordered_pair(X1,X1),unordered_pair(empty_set,empty_set)),
inference(scs_inference,[],[i_0_363,i_0_859,i_0_794,i_0_254,i_0_754,i_0_830,i_0_807,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304]) ).
cnf(i_0_889,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_304]) ).
cnf(i_0_890,plain,
in(esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1)),set_union2(unordered_pair(X1,X1),X2)),
inference(scs_inference,[],[i_0_363,i_0_859,i_0_794,i_0_254,i_0_754,i_0_830,i_0_807,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301]) ).
cnf(i_0_891,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_301]) ).
cnf(i_0_892,plain,
in(esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1)),set_union2(X2,unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_363,i_0_859,i_0_794,i_0_254,i_0_754,i_0_830,i_0_807,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302]) ).
cnf(i_0_893,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_894,plain,
subset(esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(empty_set,empty_set)),X1),
inference(scs_inference,[],[i_0_363,i_0_859,i_0_794,i_0_254,i_0_754,i_0_830,i_0_807,i_0_781,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217]) ).
cnf(i_0_895,plain,
~ in(X1,esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_781]) ).
cnf(i_0_896,plain,
( in(esk6_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_217]) ).
cnf(i_0_897,plain,
in(set_difference(X1,set_difference(X1,empty_set)),powerset(X2)),
inference(scs_inference,[],[i_0_363,i_0_859,i_0_794,i_0_254,i_0_754,i_0_676,i_0_830,i_0_807,i_0_781,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306]) ).
cnf(i_0_898,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_306]) ).
cnf(i_0_899,plain,
subset(esk2_1(unordered_pair(empty_set,empty_set)),set_difference(empty_set,X1)),
inference(scs_inference,[],[i_0_594,i_0_363,i_0_859,i_0_794,i_0_254,i_0_754,i_0_676,i_0_830,i_0_807,i_0_781,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258]) ).
cnf(i_0_900,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_258]) ).
cnf(i_0_901,plain,
disjoint(esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(empty_set,empty_set)),X1),
inference(scs_inference,[],[i_0_594,i_0_363,i_0_859,i_0_794,i_0_254,i_0_754,i_0_676,i_0_830,i_0_807,i_0_781,i_0_895,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215]) ).
cnf(i_0_902,plain,
~ in(X1,esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_781]) ).
cnf(i_0_903,plain,
( in(esk12_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_215]) ).
cnf(i_0_904,plain,
disjoint(X1,esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_594,i_0_363,i_0_859,i_0_794,i_0_254,i_0_754,i_0_676,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216]) ).
cnf(i_0_905,plain,
~ in(X1,esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_781]) ).
cnf(i_0_906,plain,
( in(esk12_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_216]) ).
cnf(i_0_907,plain,
subset(X1,esk7_3(X2,empty_set,unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_594,i_0_363,i_0_859,i_0_878,i_0_794,i_0_254,i_0_754,i_0_676,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259]) ).
cnf(i_0_908,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_909,plain,
set_difference(X1,set_difference(X1,empty_set)) = set_difference(empty_set,X2),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_363,i_0_859,i_0_878,i_0_794,i_0_254,i_0_754,i_0_676,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272]) ).
cnf(i_0_910,plain,
in(esk8_3(set_difference(empty_set,X1),set_difference(set_difference(empty_set,X1),empty_set),unordered_pair(X2,X2)),unordered_pair(X2,X2)),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_254,i_0_355,i_0_754,i_0_676,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176]) ).
cnf(i_0_911,plain,
unordered_pair(X1,X1) != set_difference(X2,set_difference(X2,empty_set)),
inference(rename_variables,[],[i_0_844]) ).
cnf(i_0_912,plain,
~ in(X1,set_difference(empty_set,X2)),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_913,plain,
( X1 = set_difference(X2,X3)
| in(esk8_3(X2,X3,X1),X2)
| in(esk8_3(X2,X3,X1),X1) ),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_914,plain,
~ in(set_difference(X1,X2),set_difference(powerset(X1),powerset(X1))),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_254,i_0_355,i_0_608,i_0_754,i_0_676,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_814,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203]) ).
cnf(i_0_915,plain,
disjoint(set_difference(X1,X2),set_difference(X1,X1)),
inference(rename_variables,[],[i_0_608]) ).
cnf(i_0_916,plain,
( ~ disjoint(X1,X2)
| ~ in(X3,X1)
| ~ in(X3,X2) ),
inference(rename_variables,[],[i_0_203]) ).
cnf(i_0_917,plain,
~ in(unordered_pair(X1,X1),set_union2(powerset(set_difference(empty_set,X2)),empty_set)),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_264,i_0_254,i_0_355,i_0_608,i_0_598,i_0_754,i_0_676,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_814,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225]) ).
cnf(i_0_918,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_264]) ).
cnf(i_0_919,plain,
( X1 != powerset(X2)
| subset(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_225]) ).
cnf(i_0_920,plain,
~ in(powerset(esk4_3(set_union2(X1,X2),set_union2(X1,X2),empty_set)),X1),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_264,i_0_254,i_0_355,i_0_608,i_0_598,i_0_754,i_0_676,i_0_534,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_814,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210]) ).
cnf(i_0_921,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_922,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_923,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_924,plain,
~ in(powerset(esk4_3(set_union2(X1,X2),set_union2(X1,X2),empty_set)),X2),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_264,i_0_254,i_0_355,i_0_608,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_814,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211]) ).
cnf(i_0_925,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_926,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_927,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X3) ),
inference(rename_variables,[],[i_0_211]) ).
cnf(i_0_928,plain,
~ subset(powerset(esk4_3(powerset(X1),powerset(X1),empty_set)),X1),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_264,i_0_254,i_0_355,i_0_608,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_814,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226]) ).
cnf(i_0_929,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_930,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_931,plain,
( X1 != powerset(X2)
| in(X3,X1)
| ~ subset(X3,X2) ),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_932,plain,
esk8_3(set_difference(empty_set,X1),set_difference(set_difference(empty_set,X1),empty_set),unordered_pair(X2,X2)) = X2,
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_264,i_0_254,i_0_355,i_0_608,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_814,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303]) ).
cnf(i_0_933,plain,
( ~ in(X1,unordered_pair(X2,X3))
| X1 = X2
| X1 = X3 ),
inference(rename_variables,[],[i_0_303]) ).
cnf(i_0_934,plain,
powerset(esk4_3(unordered_pair(X1,X2),unordered_pair(X1,X2),empty_set)) != X1,
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_264,i_0_254,i_0_355,i_0_608,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_814,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232]) ).
cnf(i_0_935,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_936,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_937,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X2 ),
inference(rename_variables,[],[i_0_232]) ).
cnf(i_0_938,plain,
powerset(esk4_3(unordered_pair(X1,X2),unordered_pair(X1,X2),empty_set)) != X2,
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_264,i_0_254,i_0_355,i_0_608,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_814,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233]) ).
cnf(i_0_939,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_940,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_941,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X3 ),
inference(rename_variables,[],[i_0_233]) ).
cnf(i_0_942,plain,
in(esk2_1(unordered_pair(X1,X1)),set_difference(set_union2(unordered_pair(X1,X1),X2),set_difference(empty_set,X3))),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_264,i_0_254,i_0_355,i_0_912,i_0_608,i_0_458,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_814,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298]) ).
cnf(i_0_943,plain,
~ in(X1,set_difference(empty_set,X2)),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_944,plain,
( ~ in(X1,X2)
| in(X1,X3)
| in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_298]) ).
cnf(i_0_945,plain,
~ subset(set_union2(unordered_pair(X1,X1),X2),set_difference(empty_set,X3)),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_608,i_0_458,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_814,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214]) ).
cnf(i_0_946,plain,
~ in(X1,set_difference(empty_set,X2)),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_947,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_214]) ).
cnf(i_0_948,plain,
esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(empty_set,empty_set)) = set_difference(empty_set,X1),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_458,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_814,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193]) ).
cnf(i_0_949,plain,
~ in(X1,esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_781]) ).
cnf(i_0_950,plain,
~ in(X1,set_difference(empty_set,X2)),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_951,plain,
( in(esk11_2(X1,X2),X1)
| in(esk11_2(X1,X2),X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_193]) ).
cnf(i_0_952,plain,
set_union2(empty_set,empty_set) = set_difference(X1,set_difference(X1,empty_set)),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_458,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_415,i_0_814,i_0_796,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193,i_0_224]) ).
cnf(i_0_953,plain,
subset(set_union2(empty_set,empty_set),X1),
inference(rename_variables,[],[i_0_415]) ).
cnf(i_0_954,plain,
subset(set_difference(X1,set_difference(X1,empty_set)),X2),
inference(rename_variables,[],[i_0_676]) ).
cnf(i_0_955,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_224]) ).
cnf(i_0_956,plain,
~ subset(powerset(X1),set_difference(powerset(X1),powerset(X1))),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_634,i_0_458,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_415,i_0_814,i_0_796,i_0_852,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193,i_0_224,i_0_212]) ).
cnf(i_0_957,plain,
disjoint(set_difference(X1,X1),set_difference(X1,X2)),
inference(rename_variables,[],[i_0_634]) ).
cnf(i_0_958,plain,
( ~ disjoint(X1,X2)
| disjoint(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_212]) ).
cnf(i_0_959,plain,
~ subset(unordered_pair(X1,X1),set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_634,i_0_458,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_470,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_415,i_0_814,i_0_796,i_0_852,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193,i_0_224,i_0_212,i_0_213]) ).
cnf(i_0_960,plain,
subset(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),X1),
inference(rename_variables,[],[i_0_470]) ).
cnf(i_0_961,plain,
( ~ subset(X1,X2)
| subset(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_213]) ).
cnf(i_0_962,plain,
~ disjoint(esk4_3(powerset(X1),powerset(X1),empty_set),esk4_3(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set),empty_set)),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_939,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_634,i_0_458,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_470,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_415,i_0_814,i_0_796,i_0_572,i_0_852,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193,i_0_224,i_0_212,i_0_213,i_0_291]) ).
cnf(i_0_963,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_964,plain,
~ disjoint(esk4_3(powerset(X1),powerset(X1),empty_set),esk4_3(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set),esk9_0)),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_939,i_0_963,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_721,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_634,i_0_458,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_470,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_415,i_0_814,i_0_796,i_0_572,i_0_852,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290]) ).
cnf(i_0_965,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_966,plain,
~ subset(esk4_3(powerset(X1),powerset(X1),empty_set),set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_939,i_0_963,i_0_965,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_721,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_634,i_0_458,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_470,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_740,i_0_415,i_0_814,i_0_796,i_0_572,i_0_852,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_288]) ).
cnf(i_0_967,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_968,plain,
~ proper_subset(esk4_3(empty_set,empty_set,empty_set),set_difference(X1,set_difference(X1,empty_set))),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_939,i_0_963,i_0_965,i_0_967,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_620,i_0_721,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_634,i_0_458,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_470,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_740,i_0_415,i_0_814,i_0_796,i_0_572,i_0_852,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_288,i_0_293]) ).
cnf(i_0_969,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_970,plain,
~ in(esk4_3(empty_set,empty_set,empty_set),unordered_pair(esk10_0,esk10_0)),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_939,i_0_963,i_0_965,i_0_967,i_0_969,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_620,i_0_721,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_634,i_0_458,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_470,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_740,i_0_415,i_0_814,i_0_796,i_0_572,i_0_852,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_288,i_0_293,i_0_286]) ).
cnf(i_0_971,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_972,plain,
esk9_0 != powerset(esk4_3(unordered_pair(X1,empty_set),unordered_pair(X1,empty_set),esk9_0)),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_939,i_0_963,i_0_965,i_0_967,i_0_969,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_620,i_0_721,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_634,i_0_458,i_0_269,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_470,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_740,i_0_415,i_0_814,i_0_796,i_0_572,i_0_766,i_0_852,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_288,i_0_293,i_0_286,i_0_292]) ).
cnf(i_0_973,plain,
~ proper_subset(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),set_difference(empty_set,X1)),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_939,i_0_963,i_0_965,i_0_967,i_0_969,i_0_844,i_0_363,i_0_859,i_0_878,i_0_794,i_0_743,i_0_620,i_0_721,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_634,i_0_458,i_0_269,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_470,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_740,i_0_415,i_0_814,i_0_796,i_0_572,i_0_766,i_0_852,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_288,i_0_293,i_0_286,i_0_292,i_0_294]) ).
cnf(i_0_974,plain,
~ proper_subset(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),set_difference(X1,set_difference(X1,empty_set))),
inference(rename_variables,[],[i_0_743]) ).
cnf(i_0_975,plain,
unordered_pair(X1,X1) != set_difference(empty_set,X2),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_939,i_0_963,i_0_965,i_0_967,i_0_969,i_0_844,i_0_911,i_0_363,i_0_859,i_0_878,i_0_794,i_0_743,i_0_620,i_0_721,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_634,i_0_458,i_0_269,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_470,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_740,i_0_415,i_0_814,i_0_796,i_0_572,i_0_766,i_0_852,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_288,i_0_293,i_0_286,i_0_292,i_0_294,i_0_273]) ).
cnf(i_0_976,plain,
set_difference(empty_set,X1) = set_difference(X2,set_difference(X2,empty_set)),
inference(rename_variables,[],[i_0_727]) ).
cnf(i_0_977,plain,
~ in(empty_set,esk4_3(unordered_pair(esk10_0,esk10_0),unordered_pair(esk10_0,esk10_0),empty_set)),
inference(scs_inference,[],[i_0_727,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_939,i_0_963,i_0_965,i_0_967,i_0_969,i_0_971,i_0_844,i_0_911,i_0_363,i_0_859,i_0_878,i_0_794,i_0_743,i_0_620,i_0_721,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_634,i_0_458,i_0_269,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_470,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_740,i_0_415,i_0_814,i_0_796,i_0_572,i_0_766,i_0_852,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_288,i_0_293,i_0_286,i_0_292,i_0_294,i_0_273,i_0_287]) ).
cnf(i_0_978,plain,
esk4_3(X1,X1,empty_set) = X1,
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_979,plain,
~ subset(set_union2(X1,unordered_pair(X2,X2)),set_difference(empty_set,X3)),
inference(scs_inference,[],[i_0_727,i_0_976,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_939,i_0_963,i_0_965,i_0_967,i_0_969,i_0_971,i_0_844,i_0_911,i_0_363,i_0_859,i_0_878,i_0_794,i_0_743,i_0_620,i_0_721,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_634,i_0_458,i_0_269,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_470,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_740,i_0_415,i_0_814,i_0_821,i_0_796,i_0_572,i_0_766,i_0_852,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_288,i_0_293,i_0_286,i_0_292,i_0_294,i_0_273,i_0_287,i_0_289]) ).
cnf(i_0_980,plain,
~ subset(set_union2(X1,unordered_pair(X2,X2)),set_difference(X3,set_difference(X3,empty_set))),
inference(rename_variables,[],[i_0_821]) ).
cnf(i_0_981,plain,
~ empty(powerset(esk4_3(unordered_pair(empty_set,X1),unordered_pair(empty_set,X1),empty_set))),
inference(scs_inference,[],[i_0_727,i_0_976,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_939,i_0_963,i_0_965,i_0_967,i_0_969,i_0_971,i_0_844,i_0_911,i_0_363,i_0_859,i_0_878,i_0_794,i_0_743,i_0_620,i_0_721,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_634,i_0_458,i_0_269,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_470,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_740,i_0_415,i_0_814,i_0_821,i_0_796,i_0_572,i_0_766,i_0_852,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_288,i_0_293,i_0_286,i_0_292,i_0_294,i_0_273,i_0_287,i_0_289,i_0_267]) ).
cnf(i_0_982,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_983,plain,
in(esk7_3(empty_set,X1,unordered_pair(X2,X2)),unordered_pair(X2,X2)),
inference(scs_inference,[],[i_0_727,i_0_976,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_939,i_0_963,i_0_965,i_0_967,i_0_969,i_0_971,i_0_844,i_0_911,i_0_363,i_0_859,i_0_878,i_0_794,i_0_743,i_0_620,i_0_721,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_634,i_0_458,i_0_269,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_470,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_740,i_0_415,i_0_814,i_0_821,i_0_796,i_0_572,i_0_766,i_0_852,i_0_309,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_288,i_0_293,i_0_286,i_0_292,i_0_294,i_0_273,i_0_287,i_0_289,i_0_267,i_0_174]) ).
cnf(i_0_984,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_309]) ).
cnf(i_0_985,plain,
( X1 = set_difference(X2,set_difference(X2,X3))
| in(esk7_3(X2,X3,X1),X1)
| in(esk7_3(X2,X3,X1),X2) ),
inference(rename_variables,[],[i_0_174]) ).
cnf(i_0_986,plain,
( ~ subset(esk4_3(empty_set,empty_set,empty_set),set_difference(X1,set_difference(X1,empty_set)))
| esk4_3(empty_set,empty_set,empty_set) = set_difference(X1,set_difference(X1,empty_set)) ),
inference(scs_inference,[],[i_0_727,i_0_976,i_0_594,i_0_503,i_0_921,i_0_925,i_0_929,i_0_935,i_0_939,i_0_963,i_0_965,i_0_967,i_0_969,i_0_971,i_0_844,i_0_911,i_0_363,i_0_859,i_0_878,i_0_794,i_0_743,i_0_620,i_0_721,i_0_264,i_0_254,i_0_355,i_0_912,i_0_943,i_0_946,i_0_608,i_0_634,i_0_458,i_0_269,i_0_598,i_0_754,i_0_676,i_0_534,i_0_922,i_0_926,i_0_930,i_0_936,i_0_470,i_0_830,i_0_807,i_0_781,i_0_895,i_0_902,i_0_905,i_0_740,i_0_415,i_0_814,i_0_821,i_0_796,i_0_572,i_0_766,i_0_852,i_0_309,i_0_256,i_0_207,i_0_197,i_0_230,i_0_252,i_0_229,i_0_299,i_0_300,i_0_296,i_0_304,i_0_301,i_0_302,i_0_217,i_0_306,i_0_258,i_0_215,i_0_216,i_0_259,i_0_272,i_0_176,i_0_203,i_0_225,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_298,i_0_214,i_0_193,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_288,i_0_293,i_0_286,i_0_292,i_0_294,i_0_273,i_0_287,i_0_289,i_0_267,i_0_174,i_0_237]) ).
cnf(i_0_987,plain,
( proper_subset(X1,X2)
| ~ subset(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_237]) ).
cnf(i_0_988,plain,
unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)) != X1,
inference(rename_variables,[],[i_0_583]) ).
cnf(i_0_990,plain,
~ empty(powerset(esk4_3(unordered_pair(X1,empty_set),unordered_pair(X1,empty_set),empty_set))),
inference(scs_inference,[],[i_0_938,i_0_267]) ).
cnf(i_0_991,plain,
powerset(esk4_3(unordered_pair(X1,X2),unordered_pair(X1,X2),empty_set)) != X2,
inference(rename_variables,[],[i_0_938]) ).
cnf(i_0_992,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_993,plain,
in(X1,esk7_3(X2,empty_set,unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)))),
inference(scs_inference,[],[i_0_938,i_0_907,i_0_267,i_0_197]) ).
cnf(i_0_994,plain,
subset(X1,esk7_3(X2,empty_set,unordered_pair(X1,X1))),
inference(rename_variables,[],[i_0_907]) ).
cnf(i_0_995,plain,
( ~ subset(unordered_pair(X1,X1),X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_197]) ).
cnf(i_0_996,plain,
subset(esk8_3(set_difference(empty_set,X1),set_difference(set_difference(empty_set,X1),empty_set),unordered_pair(empty_set,empty_set)),unordered_pair(X2,X2)),
inference(scs_inference,[],[i_0_932,i_0_938,i_0_907,i_0_267,i_0_197,i_0_230]) ).
cnf(i_0_997,plain,
esk8_3(set_difference(empty_set,X1),set_difference(set_difference(empty_set,X1),empty_set),unordered_pair(X2,X2)) = X2,
inference(rename_variables,[],[i_0_932]) ).
cnf(i_0_998,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_999,plain,
~ in(unordered_pair(X1,X1),set_difference(unordered_pair(empty_set,empty_set),X2)),
inference(scs_inference,[],[i_0_888,i_0_932,i_0_938,i_0_907,i_0_267,i_0_197,i_0_230,i_0_300]) ).
cnf(i_0_1000,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_1001,plain,
~ in(X1,esk8_3(set_difference(empty_set,X2),set_difference(set_difference(empty_set,X2),empty_set),unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_888,i_0_932,i_0_997,i_0_938,i_0_907,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252]) ).
cnf(i_0_1002,plain,
esk8_3(set_difference(empty_set,X1),set_difference(set_difference(empty_set,X1),empty_set),unordered_pair(X2,X2)) = X2,
inference(rename_variables,[],[i_0_932]) ).
cnf(i_0_1003,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_252]) ).
cnf(i_0_1004,plain,
~ in(unordered_pair(X1,X1),set_difference(X2,set_difference(X2,unordered_pair(empty_set,empty_set)))),
inference(scs_inference,[],[i_0_888,i_0_932,i_0_997,i_0_938,i_0_907,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296]) ).
cnf(i_0_1005,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_296]) ).
cnf(i_0_1006,plain,
~ in(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),set_difference(X1,powerset(X2))),
inference(scs_inference,[],[i_0_888,i_0_932,i_0_997,i_0_672,i_0_938,i_0_907,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299]) ).
cnf(i_0_1007,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_1008,plain,
~ in(powerset(X1),set_difference(X1,X2)),
inference(scs_inference,[],[i_0_888,i_0_932,i_0_997,i_0_672,i_0_556,i_0_938,i_0_907,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229]) ).
cnf(i_0_1009,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_229]) ).
cnf(i_0_1010,plain,
in(set_difference(empty_set,X1),powerset(X2)),
inference(scs_inference,[],[i_0_888,i_0_932,i_0_997,i_0_672,i_0_556,i_0_560,i_0_938,i_0_907,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306]) ).
cnf(i_0_1011,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_306]) ).
cnf(i_0_1012,plain,
subset(esk4_3(empty_set,empty_set,empty_set),X1),
inference(scs_inference,[],[i_0_888,i_0_932,i_0_997,i_0_672,i_0_556,i_0_560,i_0_938,i_0_539,i_0_907,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217]) ).
cnf(i_0_1013,plain,
~ in(X1,esk4_3(empty_set,empty_set,empty_set)),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1014,plain,
( in(esk6_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_217]) ).
cnf(i_0_1015,plain,
in(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),set_union2(powerset(X1),X2)),
inference(scs_inference,[],[i_0_888,i_0_932,i_0_997,i_0_672,i_0_556,i_0_560,i_0_938,i_0_539,i_0_907,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301]) ).
cnf(i_0_1016,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_301]) ).
cnf(i_0_1017,plain,
in(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)),set_union2(X1,powerset(X2))),
inference(scs_inference,[],[i_0_888,i_0_932,i_0_997,i_0_672,i_0_556,i_0_560,i_0_938,i_0_539,i_0_907,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302]) ).
cnf(i_0_1018,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_1019,plain,
~ in(unordered_pair(X1,X1),unordered_pair(set_difference(empty_set,X2),set_difference(empty_set,X2))),
inference(scs_inference,[],[i_0_888,i_0_932,i_0_997,i_0_975,i_0_672,i_0_556,i_0_560,i_0_938,i_0_539,i_0_907,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304]) ).
cnf(i_0_1020,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_304]) ).
cnf(i_0_1021,plain,
disjoint(esk4_3(empty_set,empty_set,empty_set),X1),
inference(scs_inference,[],[i_0_888,i_0_932,i_0_997,i_0_975,i_0_672,i_0_556,i_0_560,i_0_938,i_0_539,i_0_1013,i_0_907,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215]) ).
cnf(i_0_1022,plain,
~ in(X1,esk4_3(empty_set,empty_set,empty_set)),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1023,plain,
( in(esk12_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_215]) ).
cnf(i_0_1024,plain,
disjoint(X1,esk4_3(empty_set,empty_set,empty_set)),
inference(scs_inference,[],[i_0_888,i_0_932,i_0_997,i_0_975,i_0_672,i_0_556,i_0_560,i_0_938,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216]) ).
cnf(i_0_1025,plain,
~ in(X1,esk4_3(empty_set,empty_set,empty_set)),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1026,plain,
( in(esk12_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_216]) ).
cnf(i_0_1027,plain,
subset(esk4_3(X1,X1,empty_set),X1),
inference(scs_inference,[],[i_0_503,i_0_888,i_0_932,i_0_997,i_0_975,i_0_672,i_0_556,i_0_560,i_0_938,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258]) ).
cnf(i_0_1028,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_258]) ).
cnf(i_0_1029,plain,
subset(X1,esk8_3(set_difference(empty_set,X2),set_difference(set_difference(empty_set,X2),empty_set),unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_672,i_0_556,i_0_560,i_0_938,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259]) ).
cnf(i_0_1030,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_1031,plain,
set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set)) = set_difference(empty_set,X1),
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_672,i_0_556,i_0_560,i_0_938,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272]) ).
cnf(i_0_1032,plain,
in(esk8_3(empty_set,X1,unordered_pair(X2,X2)),unordered_pair(X2,X2)),
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_672,i_0_556,i_0_560,i_0_938,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176]) ).
cnf(i_0_1033,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_309]) ).
cnf(i_0_1034,plain,
( X1 = set_difference(X2,X3)
| in(esk8_3(X2,X3,X1),X2)
| in(esk8_3(X2,X3,X1),X1) ),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_1035,plain,
~ in(unordered_pair(X1,X1),set_union2(set_difference(unordered_pair(empty_set,empty_set),X2),empty_set)),
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_264,i_0_672,i_0_556,i_0_560,i_0_938,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209]) ).
cnf(i_0_1036,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_264]) ).
cnf(i_0_1037,plain,
( X1 != set_difference(X2,X3)
| in(X4,X2)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_209]) ).
cnf(i_0_1038,plain,
~ in(unordered_pair(X1,X1),set_difference(powerset(set_difference(empty_set,X2)),empty_set)),
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_264,i_0_263,i_0_598,i_0_672,i_0_556,i_0_560,i_0_938,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225]) ).
cnf(i_0_1039,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_1040,plain,
( X1 != powerset(X2)
| subset(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_225]) ).
cnf(i_0_1041,plain,
~ subset(esk4_3(unordered_pair(X1,X1),unordered_pair(X1,X1),esk9_0),empty_set),
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_264,i_0_263,i_0_598,i_0_672,i_0_556,i_0_560,i_0_938,i_0_674,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180]) ).
cnf(i_0_1042,plain,
~ subset(esk4_3(unordered_pair(X1,X1),unordered_pair(X1,X1),esk9_0),set_difference(empty_set,X2)),
inference(rename_variables,[],[i_0_744]) ).
cnf(i_0_1043,plain,
subset(esk4_3(X1,X1,esk9_0),X1),
inference(rename_variables,[],[i_0_674]) ).
cnf(i_0_1044,plain,
( subset(X1,set_difference(X2,set_difference(X2,X3)))
| ~ subset(X1,X3)
| ~ subset(X1,X2) ),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_1045,plain,
~ in(powerset(set_union2(set_union2(X1,X2),empty_set)),X1),
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_264,i_0_1036,i_0_263,i_0_598,i_0_672,i_0_556,i_0_560,i_0_534,i_0_938,i_0_674,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210]) ).
cnf(i_0_1046,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_264]) ).
cnf(i_0_1047,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1048,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_1049,plain,
~ in(powerset(set_union2(set_union2(X1,X2),empty_set)),X2),
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_264,i_0_1036,i_0_1046,i_0_263,i_0_598,i_0_672,i_0_556,i_0_560,i_0_534,i_0_1047,i_0_938,i_0_674,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211]) ).
cnf(i_0_1050,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_264]) ).
cnf(i_0_1051,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1052,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X3) ),
inference(rename_variables,[],[i_0_211]) ).
cnf(i_0_1053,plain,
~ subset(powerset(set_union2(powerset(X1),empty_set)),X1),
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_598,i_0_672,i_0_556,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_938,i_0_674,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226]) ).
cnf(i_0_1054,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_264]) ).
cnf(i_0_1055,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1056,plain,
( X1 != powerset(X2)
| in(X3,X1)
| ~ subset(X3,X2) ),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_1057,plain,
esk7_3(empty_set,X1,unordered_pair(X2,X2)) = X2,
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_598,i_0_672,i_0_556,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303]) ).
cnf(i_0_1058,plain,
( ~ in(X1,unordered_pair(X2,X3))
| X1 = X2
| X1 = X3 ),
inference(rename_variables,[],[i_0_303]) ).
cnf(i_0_1059,plain,
powerset(set_union2(unordered_pair(X1,X2),unordered_pair(X1,X2))) != X1,
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_598,i_0_672,i_0_556,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232]) ).
cnf(i_0_1060,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1061,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1062,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X2 ),
inference(rename_variables,[],[i_0_232]) ).
cnf(i_0_1063,plain,
powerset(set_union2(unordered_pair(X1,X2),unordered_pair(X1,X2))) != X2,
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_598,i_0_672,i_0_556,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233]) ).
cnf(i_0_1064,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1065,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1066,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X3 ),
inference(rename_variables,[],[i_0_233]) ).
cnf(i_0_1067,plain,
esk4_3(empty_set,empty_set,empty_set) = set_difference(X1,set_difference(X1,empty_set)),
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_968,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_598,i_0_672,i_0_556,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237]) ).
cnf(i_0_1068,plain,
( proper_subset(X1,X2)
| ~ subset(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_237]) ).
cnf(i_0_1069,plain,
in(unordered_pair(X1,X1),set_difference(powerset(unordered_pair(X1,X1)),unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_968,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_598,i_0_361,i_0_672,i_0_556,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298]) ).
cnf(i_0_1070,plain,
in(X1,powerset(X1)),
inference(rename_variables,[],[i_0_361]) ).
cnf(i_0_1071,plain,
( ~ in(X1,X2)
| in(X1,X3)
| in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_298]) ).
cnf(i_0_1072,plain,
~ subset(powerset(unordered_pair(X1,X1)),unordered_pair(empty_set,empty_set)),
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_968,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_598,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214]) ).
cnf(i_0_1073,plain,
in(X1,powerset(X1)),
inference(rename_variables,[],[i_0_361]) ).
cnf(i_0_1074,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_214]) ).
cnf(i_0_1075,plain,
set_difference(set_difference(empty_set,X1),X2) = set_difference(empty_set,X1),
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_968,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_598,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224]) ).
cnf(i_0_1076,plain,
subset(set_difference(X1,X2),X1),
inference(rename_variables,[],[i_0_235]) ).
cnf(i_0_1077,plain,
subset(set_difference(empty_set,X1),X2),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_1078,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_224]) ).
cnf(i_0_1079,plain,
~ subset(powerset(X1),set_difference(empty_set,X2)),
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_833,i_0_968,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_563,i_0_598,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224,i_0_212]) ).
cnf(i_0_1080,plain,
disjoint(set_difference(empty_set,X1),X2),
inference(rename_variables,[],[i_0_563]) ).
cnf(i_0_1081,plain,
( ~ disjoint(X1,X2)
| disjoint(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_212]) ).
cnf(i_0_1082,plain,
~ subset(unordered_pair(X1,X1),set_difference(set_difference(empty_set,X2),X3)),
inference(scs_inference,[],[i_0_734,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_833,i_0_968,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_563,i_0_598,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_1076,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224,i_0_212,i_0_213]) ).
cnf(i_0_1083,plain,
subset(set_difference(X1,X2),X1),
inference(rename_variables,[],[i_0_235]) ).
cnf(i_0_1084,plain,
( ~ subset(X1,X2)
| subset(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_213]) ).
cnf(i_0_1085,plain,
~ disjoint(powerset(X1),esk4_3(powerset(X1),powerset(X1),esk9_0)),
inference(scs_inference,[],[i_0_734,i_0_629,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_833,i_0_968,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_563,i_0_598,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_1076,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_647,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291]) ).
cnf(i_0_1086,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1087,plain,
~ disjoint(esk4_3(powerset(X1),powerset(X1),esk9_0),esk4_3(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set),esk9_0)),
inference(scs_inference,[],[i_0_734,i_0_629,i_0_1086,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_833,i_0_968,i_0_721,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_563,i_0_598,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_1076,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_647,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290]) ).
cnf(i_0_1088,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1089,plain,
~ in(esk4_3(unordered_pair(X1,X1),unordered_pair(X1,X1),esk9_0),unordered_pair(empty_set,empty_set)),
inference(scs_inference,[],[i_0_734,i_0_629,i_0_1086,i_0_1088,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_833,i_0_968,i_0_721,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_563,i_0_598,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_1076,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_647,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_286]) ).
cnf(i_0_1090,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1091,plain,
~ subset(esk4_3(unordered_pair(X1,X1),unordered_pair(X1,X1),esk9_0),set_difference(X2,set_difference(X2,empty_set))),
inference(scs_inference,[],[i_0_734,i_0_629,i_0_1086,i_0_1088,i_0_1090,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_833,i_0_968,i_0_721,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_563,i_0_598,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_759,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_1076,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_744,i_0_647,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_286,i_0_288]) ).
cnf(i_0_1092,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1093,plain,
empty_set != powerset(esk4_3(unordered_pair(empty_set,X1),unordered_pair(empty_set,X1),empty_set)),
inference(scs_inference,[],[i_0_734,i_0_629,i_0_1086,i_0_1088,i_0_1090,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_833,i_0_968,i_0_721,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_563,i_0_598,i_0_270,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_759,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_1076,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_981,i_0_744,i_0_647,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_286,i_0_288,i_0_292]) ).
cnf(i_0_1094,plain,
~ proper_subset(set_difference(X1,set_difference(X1,empty_set)),set_difference(X2,set_difference(X2,empty_set))),
inference(scs_inference,[],[i_0_474,i_0_734,i_0_629,i_0_1086,i_0_1088,i_0_1090,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_743,i_0_833,i_0_968,i_0_721,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_563,i_0_598,i_0_270,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_759,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_1076,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_981,i_0_744,i_0_647,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_286,i_0_288,i_0_292,i_0_293]) ).
cnf(i_0_1095,plain,
~ proper_subset(esk4_3(empty_set,empty_set,empty_set),empty_set),
inference(scs_inference,[],[i_0_640,i_0_474,i_0_734,i_0_629,i_0_1086,i_0_1088,i_0_1090,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_743,i_0_833,i_0_968,i_0_721,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_563,i_0_598,i_0_270,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_759,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_1076,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_981,i_0_744,i_0_647,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_286,i_0_288,i_0_292,i_0_293,i_0_294]) ).
cnf(i_0_1096,plain,
~ proper_subset(esk4_3(empty_set,empty_set,empty_set),set_difference(X1,set_difference(X1,empty_set))),
inference(rename_variables,[],[i_0_968]) ).
cnf(i_0_1097,plain,
~ in(unordered_pair(X1,X1),esk4_3(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set),esk9_0)),
inference(scs_inference,[],[i_0_640,i_0_474,i_0_734,i_0_629,i_0_1086,i_0_1088,i_0_1090,i_0_1092,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_743,i_0_833,i_0_968,i_0_721,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_563,i_0_598,i_0_270,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_759,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_1076,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_981,i_0_744,i_0_647,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_286,i_0_288,i_0_292,i_0_293,i_0_294,i_0_287]) ).
cnf(i_0_1098,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1099,plain,
powerset(empty_set) != esk4_3(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set),esk9_0),
inference(scs_inference,[],[i_0_257,i_0_640,i_0_474,i_0_734,i_0_629,i_0_1086,i_0_1088,i_0_1090,i_0_1092,i_0_1098,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_743,i_0_833,i_0_968,i_0_721,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_563,i_0_598,i_0_270,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_759,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_1076,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_981,i_0_744,i_0_647,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_286,i_0_288,i_0_292,i_0_293,i_0_294,i_0_287,i_0_273]) ).
cnf(i_0_1100,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1101,plain,
~ subset(set_union2(unordered_pair(X1,X1),X2),esk4_3(empty_set,empty_set,esk9_0)),
inference(scs_inference,[],[i_0_257,i_0_640,i_0_474,i_0_734,i_0_629,i_0_1086,i_0_1088,i_0_1090,i_0_1092,i_0_1098,i_0_1100,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_743,i_0_833,i_0_968,i_0_721,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_263,i_0_261,i_0_1060,i_0_563,i_0_598,i_0_270,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_759,i_0_810,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_1076,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_981,i_0_744,i_0_647,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_286,i_0_288,i_0_292,i_0_293,i_0_294,i_0_287,i_0_273,i_0_289]) ).
cnf(i_0_1102,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1103,plain,
~ in(unordered_pair(X1,X1),set_union2(set_union2(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set)),empty_set)),
inference(scs_inference,[],[i_0_257,i_0_640,i_0_474,i_0_734,i_0_629,i_0_1086,i_0_1088,i_0_1090,i_0_1092,i_0_1098,i_0_1100,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_743,i_0_833,i_0_968,i_0_721,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_1054,i_0_263,i_0_261,i_0_1060,i_0_563,i_0_598,i_0_270,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_759,i_0_810,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_1076,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_981,i_0_744,i_0_647,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_286,i_0_288,i_0_292,i_0_293,i_0_294,i_0_287,i_0_273,i_0_289,i_0_199]) ).
cnf(i_0_1104,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_264]) ).
cnf(i_0_1105,plain,
( X1 != set_union2(X2,X3)
| in(X4,X2)
| in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_1106,plain,
~ in(X1,set_difference(set_difference(empty_set,X2),X3)),
inference(scs_inference,[],[i_0_257,i_0_640,i_0_474,i_0_734,i_0_629,i_0_1086,i_0_1088,i_0_1090,i_0_1092,i_0_1098,i_0_1100,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_743,i_0_833,i_0_968,i_0_721,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_1054,i_0_263,i_0_261,i_0_1060,i_0_563,i_0_598,i_0_270,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_759,i_0_810,i_0_560,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_1076,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_981,i_0_744,i_0_647,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_286,i_0_288,i_0_292,i_0_293,i_0_294,i_0_287,i_0_273,i_0_289,i_0_199,i_0_207]) ).
cnf(i_0_1107,plain,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_1108,plain,
~ subset(unordered_pair(X1,X1),esk4_3(empty_set,empty_set,esk9_0)),
inference(scs_inference,[],[i_0_257,i_0_640,i_0_474,i_0_734,i_0_629,i_0_1086,i_0_1088,i_0_1090,i_0_1092,i_0_1098,i_0_1100,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_743,i_0_833,i_0_968,i_0_721,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_1054,i_0_263,i_0_261,i_0_1060,i_0_563,i_0_598,i_0_270,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_759,i_0_810,i_0_560,i_0_1077,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_1076,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_981,i_0_744,i_0_647,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_286,i_0_288,i_0_292,i_0_293,i_0_294,i_0_287,i_0_273,i_0_289,i_0_199,i_0_207,i_0_192]) ).
cnf(i_0_1109,plain,
subset(set_difference(empty_set,X1),X2),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_1110,plain,
( subset(set_union2(X1,X2),X3)
| ~ subset(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_1111,plain,
unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)) != X2,
inference(rename_variables,[],[i_0_587]) ).
cnf(i_0_1112,plain,
( esk4_3(X1,X2,unordered_pair(unordered_pair(X3,unordered_pair(X1,X2)),unordered_pair(X3,unordered_pair(X1,X2)))) = X1
| esk4_3(X1,X2,unordered_pair(unordered_pair(X3,unordered_pair(X1,X2)),unordered_pair(X3,unordered_pair(X1,X2)))) = X2
| in(esk4_3(X1,X2,unordered_pair(unordered_pair(X3,unordered_pair(X1,X2)),unordered_pair(X3,unordered_pair(X1,X2)))),unordered_pair(unordered_pair(X3,unordered_pair(X1,X2)),unordered_pair(X3,unordered_pair(X1,X2)))) ),
inference(scs_inference,[],[i_0_257,i_0_640,i_0_474,i_0_734,i_0_629,i_0_1086,i_0_1088,i_0_1090,i_0_1092,i_0_1098,i_0_1100,i_0_503,i_0_888,i_0_932,i_0_997,i_0_1002,i_0_975,i_0_743,i_0_833,i_0_968,i_0_721,i_0_264,i_0_1036,i_0_1046,i_0_1050,i_0_1054,i_0_263,i_0_261,i_0_1060,i_0_563,i_0_598,i_0_270,i_0_361,i_0_1070,i_0_672,i_0_556,i_0_759,i_0_810,i_0_560,i_0_1077,i_0_534,i_0_1047,i_0_1051,i_0_1055,i_0_1061,i_0_235,i_0_1076,i_0_938,i_0_674,i_0_983,i_0_539,i_0_1013,i_0_1022,i_0_907,i_0_981,i_0_744,i_0_587,i_0_647,i_0_309,i_0_267,i_0_197,i_0_230,i_0_300,i_0_252,i_0_296,i_0_299,i_0_229,i_0_306,i_0_217,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_176,i_0_209,i_0_225,i_0_180,i_0_210,i_0_211,i_0_226,i_0_303,i_0_232,i_0_233,i_0_237,i_0_298,i_0_214,i_0_224,i_0_212,i_0_213,i_0_291,i_0_290,i_0_286,i_0_288,i_0_292,i_0_293,i_0_294,i_0_287,i_0_273,i_0_289,i_0_199,i_0_207,i_0_192,i_0_177]) ).
cnf(i_0_1113,plain,
~ empty(powerset(set_union2(unordered_pair(empty_set,X1),unordered_pair(empty_set,X1)))),
inference(scs_inference,[],[i_0_1059,i_0_267]) ).
cnf(i_0_1114,plain,
powerset(set_union2(unordered_pair(X1,X2),unordered_pair(X1,X2))) != X1,
inference(rename_variables,[],[i_0_1059]) ).
cnf(i_0_1115,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1116,plain,
~ in(unordered_pair(X1,X1),set_difference(unordered_pair(set_difference(empty_set,X2),set_difference(empty_set,X2)),X3)),
inference(scs_inference,[],[i_0_1019,i_0_1059,i_0_267,i_0_300]) ).
cnf(i_0_1117,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_1118,plain,
~ in(powerset(X1),set_difference(X2,set_difference(X2,X1))),
inference(scs_inference,[],[i_0_1019,i_0_534,i_0_1059,i_0_267,i_0_300,i_0_296]) ).
cnf(i_0_1119,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_296]) ).
cnf(i_0_1120,plain,
subset(esk7_3(empty_set,X1,unordered_pair(empty_set,empty_set)),unordered_pair(X2,X2)),
inference(scs_inference,[],[i_0_1019,i_0_1057,i_0_534,i_0_1059,i_0_267,i_0_300,i_0_296,i_0_230]) ).
cnf(i_0_1121,plain,
esk7_3(empty_set,X1,unordered_pair(X2,X2)) = X2,
inference(rename_variables,[],[i_0_1057]) ).
cnf(i_0_1122,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_1123,plain,
~ in(X1,esk7_3(empty_set,X2,unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_1019,i_0_1057,i_0_1121,i_0_534,i_0_1059,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252]) ).
cnf(i_0_1124,plain,
esk7_3(empty_set,X1,unordered_pair(X2,X2)) = X2,
inference(rename_variables,[],[i_0_1057]) ).
cnf(i_0_1125,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_252]) ).
cnf(i_0_1126,plain,
~ in(set_difference(X1,X2),set_difference(X3,powerset(X1))),
inference(scs_inference,[],[i_0_1019,i_0_1057,i_0_1121,i_0_556,i_0_534,i_0_1059,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299]) ).
cnf(i_0_1127,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_1128,plain,
in(esk2_1(unordered_pair(X1,X1)),powerset(X1)),
inference(scs_inference,[],[i_0_1019,i_0_1057,i_0_1121,i_0_556,i_0_534,i_0_448,i_0_1059,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306]) ).
cnf(i_0_1129,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_306]) ).
cnf(i_0_1130,plain,
subset(set_difference(set_difference(empty_set,X1),X2),X3),
inference(scs_inference,[],[i_0_1019,i_0_1057,i_0_1121,i_0_556,i_0_534,i_0_448,i_0_1059,i_0_1106,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217]) ).
cnf(i_0_1131,plain,
~ in(X1,set_difference(set_difference(empty_set,X2),X3)),
inference(rename_variables,[],[i_0_1106]) ).
cnf(i_0_1132,plain,
( in(esk6_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_217]) ).
cnf(i_0_1133,plain,
~ in(powerset(set_union2(unordered_pair(X1,X2),unordered_pair(X1,X2))),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_1019,i_0_1057,i_0_1121,i_0_556,i_0_534,i_0_448,i_0_1059,i_0_1114,i_0_1106,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304]) ).
cnf(i_0_1134,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_304]) ).
cnf(i_0_1135,plain,
in(set_difference(X1,X2),set_union2(powerset(X1),X3)),
inference(scs_inference,[],[i_0_1019,i_0_1057,i_0_1121,i_0_556,i_0_534,i_0_448,i_0_1059,i_0_1114,i_0_1106,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301]) ).
cnf(i_0_1136,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_301]) ).
cnf(i_0_1137,plain,
in(set_difference(X1,X2),set_union2(X3,powerset(X1))),
inference(scs_inference,[],[i_0_1019,i_0_1057,i_0_1121,i_0_556,i_0_534,i_0_448,i_0_1059,i_0_1114,i_0_1106,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302]) ).
cnf(i_0_1138,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_1139,plain,
~ in(powerset(set_union2(X1,X2)),set_union2(X2,X1)),
inference(scs_inference,[],[i_0_1019,i_0_1057,i_0_1121,i_0_556,i_0_792,i_0_534,i_0_448,i_0_1059,i_0_1114,i_0_1106,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229]) ).
cnf(i_0_1140,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_229]) ).
cnf(i_0_1141,plain,
disjoint(set_difference(set_difference(empty_set,X1),X2),X3),
inference(scs_inference,[],[i_0_1019,i_0_1057,i_0_1121,i_0_556,i_0_792,i_0_534,i_0_448,i_0_1059,i_0_1114,i_0_1106,i_0_1131,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215]) ).
cnf(i_0_1142,plain,
~ in(X1,set_difference(set_difference(empty_set,X2),X3)),
inference(rename_variables,[],[i_0_1106]) ).
cnf(i_0_1143,plain,
( in(esk12_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_215]) ).
cnf(i_0_1144,plain,
disjoint(X1,set_difference(set_difference(empty_set,X2),X3)),
inference(scs_inference,[],[i_0_1019,i_0_1057,i_0_1121,i_0_556,i_0_792,i_0_534,i_0_448,i_0_1059,i_0_1114,i_0_1106,i_0_1131,i_0_1142,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216]) ).
cnf(i_0_1145,plain,
~ in(X1,set_difference(set_difference(empty_set,X2),X3)),
inference(rename_variables,[],[i_0_1106]) ).
cnf(i_0_1146,plain,
( in(esk12_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_216]) ).
cnf(i_0_1147,plain,
subset(esk7_3(empty_set,X1,unordered_pair(X2,X2)),X2),
inference(scs_inference,[],[i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_556,i_0_792,i_0_534,i_0_448,i_0_1059,i_0_1114,i_0_1106,i_0_1131,i_0_1142,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258]) ).
cnf(i_0_1148,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_258]) ).
cnf(i_0_1149,plain,
subset(X1,esk7_3(empty_set,X2,unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_556,i_0_792,i_0_534,i_0_448,i_0_1059,i_0_1114,i_0_1106,i_0_1131,i_0_1142,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259]) ).
cnf(i_0_1150,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_1151,plain,
set_difference(empty_set,X1) = esk2_1(unordered_pair(empty_set,empty_set)),
inference(scs_inference,[],[i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_556,i_0_792,i_0_534,i_0_448,i_0_1059,i_0_1114,i_0_1106,i_0_1131,i_0_1142,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272]) ).
cnf(i_0_1152,plain,
~ in(powerset(set_difference(set_union2(X1,X2),empty_set)),X1),
inference(scs_inference,[],[i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_263,i_0_556,i_0_792,i_0_534,i_0_448,i_0_1059,i_0_1114,i_0_1106,i_0_1131,i_0_1142,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210]) ).
cnf(i_0_1153,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_1154,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1155,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_1156,plain,
~ in(powerset(set_difference(set_union2(X1,X2),empty_set)),X2),
inference(scs_inference,[],[i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_263,i_0_1153,i_0_556,i_0_792,i_0_534,i_0_1154,i_0_448,i_0_1059,i_0_1114,i_0_1106,i_0_1131,i_0_1142,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211]) ).
cnf(i_0_1157,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_1158,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1159,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X3) ),
inference(rename_variables,[],[i_0_211]) ).
cnf(i_0_1160,plain,
~ subset(esk4_3(empty_set,empty_set,powerset(empty_set)),empty_set),
inference(scs_inference,[],[i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_263,i_0_1153,i_0_1157,i_0_664,i_0_556,i_0_792,i_0_534,i_0_1154,i_0_448,i_0_1059,i_0_1114,i_0_1106,i_0_1131,i_0_1142,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226]) ).
cnf(i_0_1161,plain,
set_difference(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_1162,plain,
~ in(esk4_3(empty_set,empty_set,powerset(empty_set)),set_difference(powerset(empty_set),X1)),
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1163,plain,
( X1 != powerset(X2)
| in(X3,X1)
| ~ subset(X3,X2) ),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_1164,plain,
esk8_3(empty_set,X1,unordered_pair(X2,X2)) = X2,
inference(scs_inference,[],[i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_263,i_0_1153,i_0_1157,i_0_664,i_0_556,i_0_792,i_0_534,i_0_1154,i_0_448,i_0_1059,i_0_1114,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303]) ).
cnf(i_0_1165,plain,
( ~ in(X1,unordered_pair(X2,X3))
| X1 = X2
| X1 = X3 ),
inference(rename_variables,[],[i_0_303]) ).
cnf(i_0_1166,plain,
set_difference(X1,set_difference(X1,empty_set)) = set_difference(X2,set_difference(X2,empty_set)),
inference(scs_inference,[],[i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_1094,i_0_263,i_0_1153,i_0_1157,i_0_664,i_0_556,i_0_792,i_0_676,i_0_534,i_0_1154,i_0_448,i_0_1059,i_0_1114,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303,i_0_237]) ).
cnf(i_0_1167,plain,
~ proper_subset(set_difference(X1,set_difference(X1,empty_set)),set_difference(X2,set_difference(X2,empty_set))),
inference(rename_variables,[],[i_0_1094]) ).
cnf(i_0_1168,plain,
subset(set_difference(X1,set_difference(X1,empty_set)),X2),
inference(rename_variables,[],[i_0_676]) ).
cnf(i_0_1169,plain,
( proper_subset(X1,X2)
| ~ subset(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_237]) ).
cnf(i_0_1170,plain,
~ subset(powerset(X1),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,X2))),
inference(scs_inference,[],[i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_548,i_0_1094,i_0_263,i_0_1153,i_0_1157,i_0_664,i_0_462,i_0_556,i_0_792,i_0_676,i_0_534,i_0_1154,i_0_448,i_0_1059,i_0_1114,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303,i_0_237,i_0_214]) ).
cnf(i_0_1171,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_214]) ).
cnf(i_0_1172,plain,
esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(empty_set,empty_set)) = set_difference(X1,set_difference(X1,empty_set)),
inference(scs_inference,[],[i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_548,i_0_1094,i_0_263,i_0_1153,i_0_1157,i_0_664,i_0_462,i_0_556,i_0_792,i_0_676,i_0_1168,i_0_534,i_0_1154,i_0_448,i_0_1059,i_0_1114,i_0_894,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303,i_0_237,i_0_214,i_0_224]) ).
cnf(i_0_1173,plain,
subset(esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(empty_set,empty_set)),X1),
inference(rename_variables,[],[i_0_894]) ).
cnf(i_0_1174,plain,
subset(set_difference(X1,set_difference(X1,empty_set)),X2),
inference(rename_variables,[],[i_0_676]) ).
cnf(i_0_1175,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_224]) ).
cnf(i_0_1176,plain,
~ subset(powerset(X1),set_difference(X2,set_difference(X2,empty_set))),
inference(scs_inference,[],[i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_548,i_0_1094,i_0_1085,i_0_263,i_0_1153,i_0_1157,i_0_681,i_0_664,i_0_462,i_0_556,i_0_792,i_0_676,i_0_1168,i_0_534,i_0_1154,i_0_448,i_0_1059,i_0_1114,i_0_894,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303,i_0_237,i_0_214,i_0_224,i_0_212]) ).
cnf(i_0_1177,plain,
disjoint(set_difference(X1,set_difference(X1,empty_set)),X2),
inference(rename_variables,[],[i_0_681]) ).
cnf(i_0_1178,plain,
( ~ disjoint(X1,X2)
| disjoint(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_212]) ).
cnf(i_0_1179,plain,
~ subset(unordered_pair(X1,X1),esk2_1(unordered_pair(set_difference(empty_set,X2),set_difference(empty_set,X2)))),
inference(scs_inference,[],[i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_548,i_0_1094,i_0_1085,i_0_263,i_0_1153,i_0_1157,i_0_681,i_0_598,i_0_664,i_0_462,i_0_556,i_0_792,i_0_676,i_0_1168,i_0_534,i_0_1154,i_0_448,i_0_1059,i_0_1114,i_0_894,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213]) ).
cnf(i_0_1180,plain,
subset(esk2_1(unordered_pair(X1,X1)),X1),
inference(rename_variables,[],[i_0_448]) ).
cnf(i_0_1181,plain,
( ~ subset(X1,X2)
| subset(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_213]) ).
cnf(i_0_1182,plain,
~ disjoint(esk4_3(powerset(X1),powerset(X1),esk9_0),esk4_3(powerset(X1),powerset(X1),esk9_0)),
inference(scs_inference,[],[i_0_629,i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_548,i_0_1094,i_0_1085,i_0_263,i_0_1153,i_0_1157,i_0_681,i_0_598,i_0_664,i_0_462,i_0_556,i_0_792,i_0_676,i_0_1168,i_0_534,i_0_1154,i_0_448,i_0_1059,i_0_1114,i_0_894,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290]) ).
cnf(i_0_1183,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1184,plain,
~ in(esk4_3(unordered_pair(X1,X1),unordered_pair(X1,X1),esk9_0),unordered_pair(set_difference(empty_set,X2),set_difference(empty_set,X2))),
inference(scs_inference,[],[i_0_629,i_0_1183,i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_548,i_0_1094,i_0_1085,i_0_263,i_0_1153,i_0_1157,i_0_681,i_0_598,i_0_664,i_0_462,i_0_556,i_0_792,i_0_676,i_0_1168,i_0_534,i_0_1154,i_0_448,i_0_1059,i_0_1114,i_0_894,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286]) ).
cnf(i_0_1185,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1186,plain,
esk9_0 != powerset(esk4_3(unordered_pair(X1,empty_set),unordered_pair(X1,empty_set),empty_set)),
inference(scs_inference,[],[i_0_629,i_0_1183,i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_548,i_0_1094,i_0_1085,i_0_263,i_0_1153,i_0_1157,i_0_681,i_0_269,i_0_598,i_0_664,i_0_462,i_0_556,i_0_792,i_0_676,i_0_1168,i_0_534,i_0_1154,i_0_448,i_0_1059,i_0_1114,i_0_894,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_990,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292]) ).
cnf(i_0_1187,plain,
~ subset(esk4_3(powerset(X1),powerset(X1),esk9_0),set_difference(powerset(X1),powerset(X1))),
inference(scs_inference,[],[i_0_629,i_0_1183,i_0_1185,i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_548,i_0_1094,i_0_1085,i_0_263,i_0_1153,i_0_1157,i_0_681,i_0_269,i_0_598,i_0_664,i_0_462,i_0_556,i_0_792,i_0_676,i_0_1168,i_0_534,i_0_1154,i_0_448,i_0_956,i_0_1059,i_0_1114,i_0_894,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_990,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292,i_0_288]) ).
cnf(i_0_1188,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1189,plain,
~ proper_subset(esk4_3(empty_set,empty_set,esk9_0),set_difference(X1,set_difference(X1,empty_set))),
inference(scs_inference,[],[i_0_629,i_0_1183,i_0_1185,i_0_1188,i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_548,i_0_620,i_0_1094,i_0_1085,i_0_263,i_0_1153,i_0_1157,i_0_681,i_0_269,i_0_598,i_0_664,i_0_462,i_0_556,i_0_792,i_0_676,i_0_1168,i_0_534,i_0_1154,i_0_448,i_0_956,i_0_1059,i_0_1114,i_0_894,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_990,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292,i_0_288,i_0_293]) ).
cnf(i_0_1190,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1191,plain,
~ proper_subset(esk4_3(empty_set,empty_set,empty_set),esk4_3(empty_set,empty_set,esk9_0)),
inference(scs_inference,[],[i_0_629,i_0_1183,i_0_1185,i_0_1188,i_0_1190,i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_548,i_0_620,i_0_1094,i_0_1085,i_0_1095,i_0_263,i_0_1153,i_0_1157,i_0_681,i_0_269,i_0_598,i_0_664,i_0_462,i_0_556,i_0_792,i_0_676,i_0_1168,i_0_534,i_0_1154,i_0_448,i_0_956,i_0_1059,i_0_1114,i_0_894,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_990,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292,i_0_288,i_0_293,i_0_294]) ).
cnf(i_0_1192,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1193,plain,
~ in(empty_set,esk4_3(unordered_pair(esk10_0,esk10_0),unordered_pair(esk10_0,esk10_0),esk9_0)),
inference(scs_inference,[],[i_0_629,i_0_1183,i_0_1185,i_0_1188,i_0_1190,i_0_1192,i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_548,i_0_794,i_0_620,i_0_1094,i_0_1085,i_0_1095,i_0_263,i_0_1153,i_0_1157,i_0_681,i_0_269,i_0_598,i_0_664,i_0_462,i_0_556,i_0_792,i_0_676,i_0_1168,i_0_534,i_0_1154,i_0_448,i_0_956,i_0_1059,i_0_1114,i_0_894,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_990,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292,i_0_288,i_0_293,i_0_294,i_0_287]) ).
cnf(i_0_1194,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1195,plain,
~ subset(powerset(unordered_pair(X1,X1)),esk4_3(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set),esk9_0)),
inference(scs_inference,[],[i_0_629,i_0_1183,i_0_1185,i_0_1188,i_0_1190,i_0_1192,i_0_1194,i_0_594,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_548,i_0_794,i_0_620,i_0_1094,i_0_1085,i_0_1095,i_0_263,i_0_1153,i_0_1157,i_0_681,i_0_269,i_0_598,i_0_664,i_0_462,i_0_556,i_0_792,i_0_676,i_0_1168,i_0_534,i_0_1154,i_0_448,i_0_956,i_0_1059,i_0_1114,i_0_1072,i_0_894,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_990,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292,i_0_288,i_0_293,i_0_294,i_0_287,i_0_289]) ).
cnf(i_0_1196,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1197,plain,
unordered_pair(X1,X1) != esk2_1(unordered_pair(empty_set,empty_set)),
inference(scs_inference,[],[i_0_629,i_0_1183,i_0_1185,i_0_1188,i_0_1190,i_0_1192,i_0_1194,i_0_594,i_0_844,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_548,i_0_794,i_0_620,i_0_1094,i_0_1085,i_0_1095,i_0_263,i_0_1153,i_0_1157,i_0_681,i_0_269,i_0_598,i_0_664,i_0_462,i_0_556,i_0_792,i_0_676,i_0_1168,i_0_534,i_0_1154,i_0_448,i_0_956,i_0_1059,i_0_1114,i_0_1072,i_0_894,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_990,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292,i_0_288,i_0_293,i_0_294,i_0_287,i_0_289,i_0_273]) ).
cnf(i_0_1198,plain,
esk2_1(unordered_pair(empty_set,empty_set)) = set_difference(empty_set,X1),
inference(rename_variables,[],[i_0_594]) ).
cnf(i_0_1199,plain,
unordered_pair(X1,X1) != set_difference(X2,set_difference(X2,empty_set)),
inference(rename_variables,[],[i_0_844]) ).
cnf(i_0_1200,plain,
set_difference(set_difference(empty_set,X1),X2) = empty_set,
inference(scs_inference,[],[i_0_629,i_0_1183,i_0_1185,i_0_1188,i_0_1190,i_0_1192,i_0_1194,i_0_594,i_0_844,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_548,i_0_794,i_0_620,i_0_1094,i_0_1085,i_0_1095,i_0_263,i_0_1153,i_0_1157,i_0_681,i_0_269,i_0_598,i_0_664,i_0_462,i_0_556,i_0_792,i_0_676,i_0_1168,i_0_534,i_0_1154,i_0_448,i_0_956,i_0_1059,i_0_1114,i_0_1072,i_0_894,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_990,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292,i_0_288,i_0_293,i_0_294,i_0_287,i_0_289,i_0_273,i_0_256]) ).
cnf(i_0_1201,plain,
( ~ subset(X1,empty_set)
| X1 = empty_set ),
inference(rename_variables,[],[i_0_256]) ).
cnf(i_0_1202,plain,
in(X1,esk7_3(empty_set,X2,unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)))),
inference(scs_inference,[],[i_0_629,i_0_1183,i_0_1185,i_0_1188,i_0_1190,i_0_1192,i_0_1194,i_0_594,i_0_844,i_0_1019,i_0_1057,i_0_1121,i_0_1124,i_0_548,i_0_794,i_0_620,i_0_1094,i_0_1085,i_0_1095,i_0_263,i_0_1153,i_0_1157,i_0_681,i_0_269,i_0_598,i_0_664,i_0_462,i_0_556,i_0_792,i_0_676,i_0_1168,i_0_534,i_0_1154,i_0_448,i_0_956,i_0_1059,i_0_1114,i_0_1072,i_0_894,i_0_1106,i_0_1131,i_0_1142,i_0_1032,i_0_990,i_0_267,i_0_300,i_0_296,i_0_230,i_0_252,i_0_299,i_0_306,i_0_217,i_0_304,i_0_301,i_0_302,i_0_229,i_0_215,i_0_216,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_303,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292,i_0_288,i_0_293,i_0_294,i_0_287,i_0_289,i_0_273,i_0_256,i_0_197]) ).
cnf(i_0_1203,plain,
( ~ subset(unordered_pair(X1,X1),X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_197]) ).
cnf(i_0_1204,plain,
unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)) != X1,
inference(rename_variables,[],[i_0_583]) ).
cnf(i_0_1206,plain,
~ empty(powerset(set_union2(unordered_pair(X1,empty_set),unordered_pair(X1,empty_set)))),
inference(scs_inference,[],[i_0_1063,i_0_267]) ).
cnf(i_0_1207,plain,
powerset(set_union2(unordered_pair(X1,X2),unordered_pair(X1,X2))) != X2,
inference(rename_variables,[],[i_0_1063]) ).
cnf(i_0_1208,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1209,plain,
~ in(empty_set,set_difference(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)),
inference(scs_inference,[],[i_0_548,i_0_1063,i_0_267,i_0_300]) ).
cnf(i_0_1210,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_1211,plain,
subset(esk8_3(empty_set,X1,unordered_pair(empty_set,empty_set)),unordered_pair(X2,X2)),
inference(scs_inference,[],[i_0_1164,i_0_548,i_0_1063,i_0_267,i_0_300,i_0_230]) ).
cnf(i_0_1212,plain,
esk8_3(empty_set,X1,unordered_pair(X2,X2)) = X2,
inference(rename_variables,[],[i_0_1164]) ).
cnf(i_0_1213,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_1214,plain,
~ in(X1,esk8_3(empty_set,X2,unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_1164,i_0_1212,i_0_548,i_0_1063,i_0_267,i_0_300,i_0_230,i_0_252]) ).
cnf(i_0_1215,plain,
esk8_3(empty_set,X1,unordered_pair(X2,X2)) = X2,
inference(rename_variables,[],[i_0_1164]) ).
cnf(i_0_1216,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_252]) ).
cnf(i_0_1217,plain,
~ in(powerset(X1),set_difference(X2,set_difference(X2,set_difference(X1,X3)))),
inference(scs_inference,[],[i_0_1164,i_0_1212,i_0_548,i_0_1008,i_0_1063,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296]) ).
cnf(i_0_1218,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_296]) ).
cnf(i_0_1219,plain,
~ in(empty_set,set_difference(X1,set_union2(powerset(X2),X3))),
inference(scs_inference,[],[i_0_1164,i_0_1212,i_0_548,i_0_788,i_0_1008,i_0_1063,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299]) ).
cnf(i_0_1220,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_1221,plain,
subset(esk4_3(empty_set,empty_set,esk9_0),X1),
inference(scs_inference,[],[i_0_1164,i_0_1212,i_0_548,i_0_788,i_0_1008,i_0_1063,i_0_657,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217]) ).
cnf(i_0_1222,plain,
~ in(X1,esk4_3(empty_set,empty_set,esk9_0)),
inference(rename_variables,[],[i_0_657]) ).
cnf(i_0_1223,plain,
( in(esk6_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_217]) ).
cnf(i_0_1224,plain,
in(esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1)),powerset(X1)),
inference(scs_inference,[],[i_0_1164,i_0_1212,i_0_548,i_0_788,i_0_1008,i_0_1063,i_0_805,i_0_657,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306]) ).
cnf(i_0_1225,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_306]) ).
cnf(i_0_1226,plain,
in(empty_set,set_union2(set_union2(powerset(X1),X2),X3)),
inference(scs_inference,[],[i_0_1164,i_0_1212,i_0_548,i_0_788,i_0_1008,i_0_1063,i_0_805,i_0_657,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301]) ).
cnf(i_0_1227,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_301]) ).
cnf(i_0_1228,plain,
in(empty_set,set_union2(X1,set_union2(powerset(X2),X3))),
inference(scs_inference,[],[i_0_1164,i_0_1212,i_0_548,i_0_788,i_0_1008,i_0_1063,i_0_805,i_0_657,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302]) ).
cnf(i_0_1229,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_1230,plain,
~ in(powerset(set_union2(unordered_pair(X1,X2),unordered_pair(X1,X2))),unordered_pair(X2,X2)),
inference(scs_inference,[],[i_0_1164,i_0_1212,i_0_548,i_0_788,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_657,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304]) ).
cnf(i_0_1231,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_304]) ).
cnf(i_0_1232,plain,
disjoint(esk4_3(empty_set,empty_set,esk9_0),X1),
inference(scs_inference,[],[i_0_1164,i_0_1212,i_0_548,i_0_788,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_657,i_0_1222,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215]) ).
cnf(i_0_1233,plain,
~ in(X1,esk4_3(empty_set,empty_set,esk9_0)),
inference(rename_variables,[],[i_0_657]) ).
cnf(i_0_1234,plain,
( in(esk12_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_215]) ).
cnf(i_0_1235,plain,
disjoint(X1,esk4_3(empty_set,empty_set,esk9_0)),
inference(scs_inference,[],[i_0_1164,i_0_1212,i_0_548,i_0_788,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_657,i_0_1222,i_0_1233,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216]) ).
cnf(i_0_1236,plain,
~ in(X1,esk4_3(empty_set,empty_set,esk9_0)),
inference(rename_variables,[],[i_0_657]) ).
cnf(i_0_1237,plain,
( in(esk12_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_216]) ).
cnf(i_0_1238,plain,
~ in(set_difference(powerset(X1),set_difference(powerset(X1),powerset(X1))),X1),
inference(scs_inference,[],[i_0_1164,i_0_1212,i_0_548,i_0_788,i_0_626,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_657,i_0_1222,i_0_1233,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229]) ).
cnf(i_0_1239,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_229]) ).
cnf(i_0_1240,plain,
subset(esk8_3(empty_set,X1,unordered_pair(X2,X2)),X2),
inference(scs_inference,[],[i_0_1164,i_0_1212,i_0_1215,i_0_548,i_0_788,i_0_626,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_657,i_0_1222,i_0_1233,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258]) ).
cnf(i_0_1241,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_258]) ).
cnf(i_0_1242,plain,
subset(X1,esk8_3(empty_set,X2,unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_1164,i_0_1212,i_0_1215,i_0_548,i_0_788,i_0_626,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_657,i_0_1222,i_0_1233,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259]) ).
cnf(i_0_1243,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_1244,plain,
set_difference(X1,set_difference(X1,empty_set)) = set_union2(set_difference(empty_set,X2),set_difference(empty_set,X2)),
inference(scs_inference,[],[i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_548,i_0_788,i_0_626,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_657,i_0_1222,i_0_1233,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272]) ).
cnf(i_0_1245,plain,
~ in(powerset(set_union2(set_union2(X1,X2),set_union2(X1,X2))),X1),
inference(scs_inference,[],[i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_548,i_0_261,i_0_788,i_0_626,i_0_534,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_657,i_0_1222,i_0_1233,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210]) ).
cnf(i_0_1246,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1247,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1248,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_1249,plain,
~ in(powerset(set_union2(set_union2(X1,X2),set_union2(X1,X2))),X2),
inference(scs_inference,[],[i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_548,i_0_261,i_0_1246,i_0_788,i_0_626,i_0_534,i_0_1247,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_657,i_0_1222,i_0_1233,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211]) ).
cnf(i_0_1250,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1251,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1252,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X3) ),
inference(rename_variables,[],[i_0_211]) ).
cnf(i_0_1253,plain,
~ subset(powerset(set_union2(powerset(X1),powerset(X1))),X1),
inference(scs_inference,[],[i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_548,i_0_261,i_0_1246,i_0_1250,i_0_788,i_0_626,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_657,i_0_1222,i_0_1233,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226]) ).
cnf(i_0_1254,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1255,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1256,plain,
( X1 != powerset(X2)
| in(X3,X1)
| ~ subset(X3,X2) ),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_1257,plain,
esk4_3(empty_set,empty_set,empty_set) = esk4_3(empty_set,empty_set,esk9_0),
inference(scs_inference,[],[i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_548,i_0_1191,i_0_261,i_0_1246,i_0_1250,i_0_788,i_0_626,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_1012,i_0_657,i_0_1222,i_0_1233,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_237]) ).
cnf(i_0_1258,plain,
subset(esk4_3(empty_set,empty_set,empty_set),X1),
inference(rename_variables,[],[i_0_1012]) ).
cnf(i_0_1259,plain,
( proper_subset(X1,X2)
| ~ subset(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_237]) ).
cnf(i_0_1260,plain,
~ subset(powerset(X1),set_difference(X2,set_difference(X2,set_difference(empty_set,X3)))),
inference(scs_inference,[],[i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_548,i_0_1191,i_0_261,i_0_1246,i_0_1250,i_0_660,i_0_556,i_0_788,i_0_626,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_1012,i_0_657,i_0_1222,i_0_1233,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_237,i_0_214]) ).
cnf(i_0_1261,plain,
~ in(X1,set_difference(X2,set_difference(X2,set_difference(empty_set,X3)))),
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_1262,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_214]) ).
cnf(i_0_1263,plain,
set_difference(set_difference(empty_set,X1),X2) = set_difference(X3,set_difference(X3,empty_set)),
inference(scs_inference,[],[i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_548,i_0_1191,i_0_261,i_0_1246,i_0_1250,i_0_660,i_0_556,i_0_788,i_0_626,i_0_676,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_1012,i_0_1130,i_0_657,i_0_1222,i_0_1233,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_237,i_0_214,i_0_224]) ).
cnf(i_0_1264,plain,
subset(set_difference(set_difference(empty_set,X1),X2),X3),
inference(rename_variables,[],[i_0_1130]) ).
cnf(i_0_1265,plain,
subset(set_difference(X1,set_difference(X1,empty_set)),X2),
inference(rename_variables,[],[i_0_676]) ).
cnf(i_0_1266,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_224]) ).
cnf(i_0_1267,plain,
~ subset(esk4_3(powerset(X1),powerset(X1),empty_set),set_difference(X2,set_difference(X2,empty_set))),
inference(scs_inference,[],[i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_548,i_0_1191,i_0_962,i_0_261,i_0_1246,i_0_1250,i_0_660,i_0_681,i_0_556,i_0_788,i_0_626,i_0_676,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_1012,i_0_1130,i_0_657,i_0_1222,i_0_1233,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_237,i_0_214,i_0_224,i_0_212]) ).
cnf(i_0_1268,plain,
disjoint(set_difference(X1,set_difference(X1,empty_set)),X2),
inference(rename_variables,[],[i_0_681]) ).
cnf(i_0_1269,plain,
( ~ disjoint(X1,X2)
| disjoint(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_212]) ).
cnf(i_0_1270,plain,
~ subset(unordered_pair(X1,X1),esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(set_difference(empty_set,X2),set_difference(empty_set,X2)))),
inference(scs_inference,[],[i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_548,i_0_1191,i_0_962,i_0_261,i_0_1246,i_0_1250,i_0_660,i_0_681,i_0_598,i_0_556,i_0_788,i_0_626,i_0_676,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_1012,i_0_1130,i_0_657,i_0_1222,i_0_1233,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213]) ).
cnf(i_0_1271,plain,
subset(esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(X1,X1)),X1),
inference(rename_variables,[],[i_0_805]) ).
cnf(i_0_1272,plain,
( ~ subset(X1,X2)
| subset(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_213]) ).
cnf(i_0_1273,plain,
~ disjoint(esk4_3(powerset(X1),powerset(X1),esk9_0),unordered_pair(empty_set,empty_set)),
inference(scs_inference,[],[i_0_629,i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_548,i_0_1191,i_0_962,i_0_261,i_0_1246,i_0_1250,i_0_660,i_0_681,i_0_598,i_0_556,i_0_788,i_0_626,i_0_676,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_1012,i_0_1130,i_0_657,i_0_1222,i_0_1233,i_0_528,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290]) ).
cnf(i_0_1274,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1275,plain,
~ in(esk4_3(esk9_0,esk9_0,esk9_0),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1))),
inference(scs_inference,[],[i_0_629,i_0_1274,i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_670,i_0_548,i_0_1191,i_0_962,i_0_261,i_0_1246,i_0_1250,i_0_660,i_0_681,i_0_598,i_0_556,i_0_788,i_0_626,i_0_676,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_1012,i_0_1130,i_0_657,i_0_1222,i_0_1233,i_0_528,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286]) ).
cnf(i_0_1276,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1277,plain,
empty_set != powerset(set_union2(unordered_pair(empty_set,X1),unordered_pair(empty_set,X1))),
inference(scs_inference,[],[i_0_629,i_0_1274,i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_670,i_0_548,i_0_1191,i_0_962,i_0_261,i_0_1246,i_0_1250,i_0_660,i_0_681,i_0_270,i_0_598,i_0_556,i_0_788,i_0_626,i_0_676,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1063,i_0_1207,i_0_805,i_0_1012,i_0_1130,i_0_1113,i_0_657,i_0_1222,i_0_1233,i_0_528,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292]) ).
cnf(i_0_1278,plain,
~ subset(esk4_3(powerset(X1),powerset(X1),esk9_0),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,X2))),
inference(scs_inference,[],[i_0_629,i_0_1274,i_0_1276,i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_670,i_0_548,i_0_1191,i_0_962,i_0_261,i_0_1246,i_0_1250,i_0_660,i_0_681,i_0_270,i_0_598,i_0_556,i_0_788,i_0_626,i_0_676,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1170,i_0_1063,i_0_1207,i_0_805,i_0_1012,i_0_1130,i_0_1113,i_0_657,i_0_1222,i_0_1233,i_0_528,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292,i_0_288]) ).
cnf(i_0_1279,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1280,plain,
~ proper_subset(esk4_3(esk4_3(empty_set,empty_set,empty_set),esk4_3(empty_set,empty_set,empty_set),esk9_0),esk4_3(empty_set,empty_set,esk9_0)),
inference(scs_inference,[],[i_0_629,i_0_1274,i_0_1276,i_0_1279,i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_670,i_0_548,i_0_1191,i_0_962,i_0_261,i_0_1246,i_0_1250,i_0_660,i_0_681,i_0_270,i_0_598,i_0_556,i_0_788,i_0_626,i_0_676,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1170,i_0_1063,i_0_1207,i_0_805,i_0_1012,i_0_1130,i_0_1113,i_0_657,i_0_1222,i_0_1233,i_0_528,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292,i_0_288,i_0_293]) ).
cnf(i_0_1281,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1282,plain,
~ proper_subset(esk4_3(empty_set,empty_set,empty_set),esk4_3(esk4_3(empty_set,empty_set,esk9_0),esk4_3(empty_set,empty_set,esk9_0),esk9_0)),
inference(scs_inference,[],[i_0_629,i_0_1274,i_0_1276,i_0_1279,i_0_1281,i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_670,i_0_548,i_0_1191,i_0_962,i_0_261,i_0_1246,i_0_1250,i_0_660,i_0_681,i_0_270,i_0_598,i_0_556,i_0_788,i_0_626,i_0_676,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1170,i_0_1063,i_0_1207,i_0_805,i_0_1012,i_0_1130,i_0_1113,i_0_657,i_0_1222,i_0_1233,i_0_528,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292,i_0_288,i_0_293,i_0_294]) ).
cnf(i_0_1283,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1284,plain,
~ in(esk9_0,esk4_3(unordered_pair(esk10_0,esk10_0),unordered_pair(esk10_0,esk10_0),esk9_0)),
inference(scs_inference,[],[i_0_629,i_0_1274,i_0_1276,i_0_1279,i_0_1281,i_0_1283,i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_670,i_0_548,i_0_435,i_0_1191,i_0_962,i_0_261,i_0_1246,i_0_1250,i_0_660,i_0_681,i_0_270,i_0_598,i_0_556,i_0_788,i_0_626,i_0_676,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1170,i_0_1063,i_0_1207,i_0_805,i_0_1012,i_0_1130,i_0_1113,i_0_657,i_0_1222,i_0_1233,i_0_528,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292,i_0_288,i_0_293,i_0_294,i_0_287]) ).
cnf(i_0_1285,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1286,plain,
~ subset(unordered_pair(X1,X1),esk4_3(esk4_3(empty_set,empty_set,esk9_0),esk4_3(empty_set,empty_set,esk9_0),esk9_0)),
inference(scs_inference,[],[i_0_629,i_0_1274,i_0_1276,i_0_1279,i_0_1281,i_0_1283,i_0_1285,i_0_817,i_0_1164,i_0_1212,i_0_1215,i_0_670,i_0_548,i_0_435,i_0_1191,i_0_962,i_0_261,i_0_1246,i_0_1250,i_0_660,i_0_681,i_0_270,i_0_598,i_0_556,i_0_788,i_0_626,i_0_676,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1170,i_0_1063,i_0_1207,i_0_805,i_0_1012,i_0_1108,i_0_1130,i_0_1113,i_0_657,i_0_1222,i_0_1233,i_0_528,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292,i_0_288,i_0_293,i_0_294,i_0_287,i_0_289]) ).
cnf(i_0_1287,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1288,plain,
unordered_pair(X1,X1) != set_union2(set_difference(empty_set,X2),set_difference(empty_set,X2)),
inference(scs_inference,[],[i_0_629,i_0_1274,i_0_1276,i_0_1279,i_0_1281,i_0_1283,i_0_1285,i_0_817,i_0_844,i_0_1164,i_0_1212,i_0_1215,i_0_670,i_0_548,i_0_435,i_0_1191,i_0_962,i_0_261,i_0_1246,i_0_1250,i_0_660,i_0_681,i_0_270,i_0_598,i_0_556,i_0_788,i_0_626,i_0_676,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1170,i_0_1063,i_0_1207,i_0_805,i_0_1012,i_0_1108,i_0_1130,i_0_1113,i_0_657,i_0_1222,i_0_1233,i_0_528,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292,i_0_288,i_0_293,i_0_294,i_0_287,i_0_289,i_0_273]) ).
cnf(i_0_1289,plain,
set_union2(set_difference(empty_set,X1),set_difference(empty_set,X1)) = set_difference(X2,set_difference(X2,empty_set)),
inference(rename_variables,[],[i_0_817]) ).
cnf(i_0_1290,plain,
~ in(X1,esk5_3(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set),unordered_pair(set_difference(empty_set,X2),set_difference(empty_set,X2)))),
inference(scs_inference,[],[i_0_629,i_0_1274,i_0_1276,i_0_1279,i_0_1281,i_0_1283,i_0_1285,i_0_817,i_0_844,i_0_1164,i_0_1212,i_0_1215,i_0_670,i_0_548,i_0_435,i_0_1191,i_0_962,i_0_261,i_0_1246,i_0_1250,i_0_660,i_0_681,i_0_270,i_0_598,i_0_556,i_0_788,i_0_626,i_0_676,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1170,i_0_1063,i_0_1207,i_0_805,i_0_1012,i_0_1108,i_0_1130,i_0_1113,i_0_657,i_0_1222,i_0_1233,i_0_528,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292,i_0_288,i_0_293,i_0_294,i_0_287,i_0_289,i_0_273,i_0_207]) ).
cnf(i_0_1291,plain,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_1292,plain,
in(X1,esk8_3(empty_set,X2,unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)))),
inference(scs_inference,[],[i_0_629,i_0_1274,i_0_1276,i_0_1279,i_0_1281,i_0_1283,i_0_1285,i_0_817,i_0_844,i_0_1164,i_0_1212,i_0_1215,i_0_670,i_0_548,i_0_435,i_0_1191,i_0_962,i_0_261,i_0_1246,i_0_1250,i_0_660,i_0_681,i_0_270,i_0_598,i_0_556,i_0_788,i_0_626,i_0_676,i_0_534,i_0_1247,i_0_1251,i_0_1008,i_0_1170,i_0_1063,i_0_1207,i_0_805,i_0_1012,i_0_1108,i_0_1130,i_0_1113,i_0_657,i_0_1222,i_0_1233,i_0_528,i_0_267,i_0_300,i_0_230,i_0_252,i_0_296,i_0_299,i_0_217,i_0_306,i_0_301,i_0_302,i_0_304,i_0_215,i_0_216,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_226,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_286,i_0_292,i_0_288,i_0_293,i_0_294,i_0_287,i_0_289,i_0_273,i_0_207,i_0_197]) ).
cnf(i_0_1293,plain,
( ~ subset(unordered_pair(X1,X1),X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_197]) ).
cnf(i_0_1294,plain,
unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)) != X2,
inference(rename_variables,[],[i_0_587]) ).
cnf(i_0_1296,plain,
~ in(X1,esk4_3(esk4_3(empty_set,empty_set,esk9_0),esk4_3(empty_set,empty_set,esk9_0),esk9_0)),
inference(scs_inference,[],[i_0_1286,i_0_207]) ).
cnf(i_0_1297,plain,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_1298,plain,
~ in(unordered_pair(X1,X1),set_difference(set_difference(X2,set_difference(X2,X1)),X3)),
inference(scs_inference,[],[i_0_450,i_0_1286,i_0_207,i_0_300]) ).
cnf(i_0_1299,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_1300,plain,
subset(esk7_3(X1,empty_set,unordered_pair(empty_set,empty_set)),unordered_pair(X2,X2)),
inference(scs_inference,[],[i_0_859,i_0_450,i_0_1286,i_0_207,i_0_300,i_0_230]) ).
cnf(i_0_1301,plain,
esk7_3(X1,empty_set,unordered_pair(X2,X2)) = X2,
inference(rename_variables,[],[i_0_859]) ).
cnf(i_0_1302,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_1303,plain,
~ in(X1,esk4_3(empty_set,empty_set,powerset(empty_set))),
inference(scs_inference,[],[i_0_859,i_0_518,i_0_450,i_0_1286,i_0_207,i_0_300,i_0_230,i_0_252]) ).
cnf(i_0_1304,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_252]) ).
cnf(i_0_1305,plain,
~ in(unordered_pair(set_union2(X1,X2),set_union2(X1,X2)),set_difference(X3,set_difference(X3,X1))),
inference(scs_inference,[],[i_0_859,i_0_518,i_0_450,i_0_392,i_0_1286,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296]) ).
cnf(i_0_1306,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(rename_variables,[],[i_0_296]) ).
cnf(i_0_1307,plain,
subset(esk7_3(X1,empty_set,unordered_pair(empty_set,empty_set)),X2),
inference(scs_inference,[],[i_0_859,i_0_518,i_0_450,i_0_392,i_0_1286,i_0_877,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217]) ).
cnf(i_0_1308,plain,
~ in(X1,esk7_3(X2,empty_set,unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_877]) ).
cnf(i_0_1309,plain,
( in(esk6_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_217]) ).
cnf(i_0_1310,plain,
~ in(empty_set,set_difference(X1,set_union2(X2,powerset(X3)))),
inference(scs_inference,[],[i_0_859,i_0_518,i_0_450,i_0_790,i_0_392,i_0_1286,i_0_877,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299]) ).
cnf(i_0_1311,plain,
( ~ in(X1,X2)
| ~ in(X1,set_difference(X3,X2)) ),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_1312,plain,
in(esk4_3(empty_set,empty_set,esk9_0),powerset(X1)),
inference(scs_inference,[],[i_0_859,i_0_518,i_0_450,i_0_790,i_0_392,i_0_1221,i_0_1286,i_0_877,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306]) ).
cnf(i_0_1313,plain,
( ~ subset(X1,X2)
| in(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_306]) ).
cnf(i_0_1314,plain,
in(empty_set,set_union2(set_union2(X1,powerset(X2)),X3)),
inference(scs_inference,[],[i_0_859,i_0_518,i_0_450,i_0_790,i_0_392,i_0_1221,i_0_1286,i_0_877,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301]) ).
cnf(i_0_1315,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_301]) ).
cnf(i_0_1316,plain,
in(empty_set,set_union2(X1,set_union2(X2,powerset(X3)))),
inference(scs_inference,[],[i_0_859,i_0_518,i_0_450,i_0_790,i_0_392,i_0_1221,i_0_1286,i_0_877,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302]) ).
cnf(i_0_1317,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_1318,plain,
disjoint(esk7_3(X1,empty_set,unordered_pair(empty_set,empty_set)),X2),
inference(scs_inference,[],[i_0_859,i_0_518,i_0_450,i_0_790,i_0_392,i_0_1221,i_0_1286,i_0_877,i_0_1308,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215]) ).
cnf(i_0_1319,plain,
~ in(X1,esk7_3(X2,empty_set,unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_877]) ).
cnf(i_0_1320,plain,
( in(esk12_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_215]) ).
cnf(i_0_1321,plain,
disjoint(X1,esk7_3(X2,empty_set,unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_859,i_0_518,i_0_450,i_0_790,i_0_392,i_0_1221,i_0_1286,i_0_877,i_0_1308,i_0_1319,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216]) ).
cnf(i_0_1322,plain,
~ in(X1,esk7_3(X2,empty_set,unordered_pair(empty_set,empty_set))),
inference(rename_variables,[],[i_0_877]) ).
cnf(i_0_1323,plain,
( in(esk12_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(rename_variables,[],[i_0_216]) ).
cnf(i_0_1324,plain,
~ in(powerset(esk4_3(unordered_pair(X1,X2),unordered_pair(X1,X2),esk9_0)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_859,i_0_518,i_0_450,i_0_790,i_0_392,i_0_1221,i_0_1286,i_0_713,i_0_877,i_0_1308,i_0_1319,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304]) ).
cnf(i_0_1325,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_304]) ).
cnf(i_0_1326,plain,
~ in(set_difference(powerset(X1),set_difference(X2,set_difference(X2,empty_set))),set_difference(X1,X3)),
inference(scs_inference,[],[i_0_859,i_0_518,i_0_450,i_0_790,i_0_814,i_0_392,i_0_1221,i_0_1286,i_0_713,i_0_877,i_0_1308,i_0_1319,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229]) ).
cnf(i_0_1327,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_229]) ).
cnf(i_0_1328,plain,
subset(esk9_0,empty_set),
inference(scs_inference,[],[i_0_363,i_0_859,i_0_518,i_0_450,i_0_790,i_0_814,i_0_392,i_0_1221,i_0_1286,i_0_713,i_0_877,i_0_1308,i_0_1319,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258]) ).
cnf(i_0_1329,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_258]) ).
cnf(i_0_1330,plain,
subset(unordered_pair(X1,X2),unordered_pair(X2,X1)),
inference(scs_inference,[],[i_0_363,i_0_859,i_0_250,i_0_518,i_0_450,i_0_790,i_0_814,i_0_392,i_0_1221,i_0_1286,i_0_713,i_0_877,i_0_1308,i_0_1319,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259]) ).
cnf(i_0_1331,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_1332,plain,
X1 = esk4_3(X1,X1,empty_set),
inference(scs_inference,[],[i_0_503,i_0_363,i_0_859,i_0_250,i_0_518,i_0_450,i_0_790,i_0_814,i_0_392,i_0_1221,i_0_1286,i_0_713,i_0_877,i_0_1308,i_0_1319,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272]) ).
cnf(i_0_1333,plain,
~ in(powerset(set_union2(X1,set_difference(X2,X1))),X1),
inference(scs_inference,[],[i_0_503,i_0_363,i_0_859,i_0_250,i_0_518,i_0_450,i_0_790,i_0_814,i_0_534,i_0_392,i_0_1221,i_0_1286,i_0_713,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210]) ).
cnf(i_0_1334,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1335,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_1336,plain,
~ in(powerset(set_union2(X1,set_difference(X2,X1))),X2),
inference(scs_inference,[],[i_0_503,i_0_363,i_0_859,i_0_250,i_0_518,i_0_450,i_0_790,i_0_814,i_0_534,i_0_1334,i_0_392,i_0_1221,i_0_1286,i_0_713,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211]) ).
cnf(i_0_1337,plain,
~ in(powerset(X1),X1),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1338,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X3) ),
inference(rename_variables,[],[i_0_211]) ).
cnf(i_0_1339,plain,
in(empty_set,set_difference(powerset(X1),unordered_pair(esk10_0,esk10_0))),
inference(scs_inference,[],[i_0_503,i_0_363,i_0_859,i_0_794,i_0_250,i_0_518,i_0_450,i_0_462,i_0_790,i_0_814,i_0_534,i_0_1334,i_0_392,i_0_1221,i_0_1286,i_0_713,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298]) ).
cnf(i_0_1340,plain,
( ~ in(X1,X2)
| in(X1,X3)
| in(X1,set_difference(X2,X3)) ),
inference(rename_variables,[],[i_0_298]) ).
cnf(i_0_1341,plain,
esk4_3(empty_set,empty_set,esk9_0) = set_difference(X1,set_difference(X1,empty_set)),
inference(scs_inference,[],[i_0_503,i_0_363,i_0_859,i_0_794,i_0_1189,i_0_250,i_0_518,i_0_450,i_0_462,i_0_790,i_0_814,i_0_534,i_0_1334,i_0_392,i_0_1221,i_0_1286,i_0_713,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298,i_0_237]) ).
cnf(i_0_1342,plain,
subset(esk4_3(empty_set,empty_set,esk9_0),X1),
inference(rename_variables,[],[i_0_1221]) ).
cnf(i_0_1343,plain,
( proper_subset(X1,X2)
| ~ subset(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_237]) ).
cnf(i_0_1344,plain,
~ subset(powerset(X1),unordered_pair(esk10_0,esk10_0)),
inference(scs_inference,[],[i_0_503,i_0_363,i_0_859,i_0_794,i_0_1189,i_0_250,i_0_518,i_0_450,i_0_462,i_0_790,i_0_814,i_0_534,i_0_1334,i_0_392,i_0_1221,i_0_1286,i_0_713,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298,i_0_237,i_0_214]) ).
cnf(i_0_1345,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_214]) ).
cnf(i_0_1346,plain,
esk4_3(empty_set,empty_set,esk9_0) = set_difference(empty_set,X1),
inference(scs_inference,[],[i_0_503,i_0_363,i_0_859,i_0_794,i_0_1189,i_0_250,i_0_518,i_0_450,i_0_462,i_0_790,i_0_814,i_0_560,i_0_534,i_0_1334,i_0_392,i_0_1221,i_0_1342,i_0_1286,i_0_713,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298,i_0_237,i_0_214,i_0_224]) ).
cnf(i_0_1347,plain,
subset(esk4_3(empty_set,empty_set,esk9_0),X1),
inference(rename_variables,[],[i_0_1221]) ).
cnf(i_0_1348,plain,
subset(set_difference(empty_set,X1),X2),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_1349,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_224]) ).
cnf(i_0_1350,plain,
~ subset(powerset(X1),esk4_3(empty_set,empty_set,empty_set)),
inference(scs_inference,[],[i_0_503,i_0_363,i_0_859,i_0_794,i_0_1189,i_0_833,i_0_250,i_0_518,i_0_450,i_0_462,i_0_790,i_0_814,i_0_560,i_0_534,i_0_1334,i_0_392,i_0_1021,i_0_1221,i_0_1342,i_0_1286,i_0_713,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298,i_0_237,i_0_214,i_0_224,i_0_212]) ).
cnf(i_0_1351,plain,
disjoint(esk4_3(empty_set,empty_set,empty_set),X1),
inference(rename_variables,[],[i_0_1021]) ).
cnf(i_0_1352,plain,
( ~ disjoint(X1,X2)
| disjoint(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_212]) ).
cnf(i_0_1353,plain,
~ subset(unordered_pair(X1,X1),esk4_3(set_difference(empty_set,X2),set_difference(empty_set,X2),empty_set)),
inference(scs_inference,[],[i_0_503,i_0_363,i_0_859,i_0_794,i_0_1189,i_0_833,i_0_250,i_0_518,i_0_598,i_0_450,i_0_462,i_0_790,i_0_814,i_0_560,i_0_534,i_0_1334,i_0_392,i_0_1021,i_0_1221,i_0_1342,i_0_1286,i_0_713,i_0_1027,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213]) ).
cnf(i_0_1354,plain,
subset(esk4_3(X1,X1,empty_set),X1),
inference(rename_variables,[],[i_0_1027]) ).
cnf(i_0_1355,plain,
( ~ subset(X1,X2)
| subset(X3,X2)
| ~ subset(X3,X1) ),
inference(rename_variables,[],[i_0_213]) ).
cnf(i_0_1356,plain,
~ disjoint(esk4_3(powerset(X1),powerset(X1),esk9_0),set_difference(powerset(X1),empty_set)),
inference(scs_inference,[],[i_0_629,i_0_503,i_0_363,i_0_859,i_0_794,i_0_1189,i_0_833,i_0_250,i_0_518,i_0_598,i_0_450,i_0_462,i_0_790,i_0_814,i_0_560,i_0_534,i_0_1334,i_0_392,i_0_1021,i_0_1221,i_0_1342,i_0_1286,i_0_713,i_0_1027,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_852,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290]) ).
cnf(i_0_1357,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1358,plain,
esk9_0 != powerset(set_union2(unordered_pair(X1,empty_set),unordered_pair(X1,empty_set))),
inference(scs_inference,[],[i_0_629,i_0_503,i_0_363,i_0_859,i_0_794,i_0_1189,i_0_833,i_0_250,i_0_518,i_0_269,i_0_598,i_0_450,i_0_462,i_0_790,i_0_814,i_0_560,i_0_534,i_0_1334,i_0_392,i_0_1021,i_0_1221,i_0_1342,i_0_1286,i_0_713,i_0_1206,i_0_1027,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_852,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_292]) ).
cnf(i_0_1359,plain,
~ in(esk4_3(powerset(empty_set),powerset(empty_set),esk9_0),unordered_pair(unordered_pair(empty_set,empty_set),unordered_pair(empty_set,empty_set))),
inference(scs_inference,[],[i_0_629,i_0_1357,i_0_503,i_0_363,i_0_859,i_0_312,i_0_794,i_0_1189,i_0_833,i_0_250,i_0_518,i_0_269,i_0_598,i_0_450,i_0_462,i_0_790,i_0_814,i_0_560,i_0_534,i_0_1334,i_0_392,i_0_1021,i_0_1221,i_0_1342,i_0_1286,i_0_713,i_0_1206,i_0_1027,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_852,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_292,i_0_286]) ).
cnf(i_0_1360,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1361,plain,
~ subset(esk4_3(unordered_pair(X1,X1),unordered_pair(X1,X1),esk9_0),set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_629,i_0_1357,i_0_1360,i_0_503,i_0_363,i_0_859,i_0_312,i_0_794,i_0_1189,i_0_833,i_0_250,i_0_518,i_0_269,i_0_598,i_0_450,i_0_462,i_0_790,i_0_814,i_0_560,i_0_534,i_0_1334,i_0_392,i_0_1021,i_0_1221,i_0_1342,i_0_959,i_0_1286,i_0_713,i_0_1206,i_0_1027,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_852,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_292,i_0_286,i_0_288]) ).
cnf(i_0_1362,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1363,plain,
~ proper_subset(esk4_3(empty_set,empty_set,esk9_0),empty_set),
inference(scs_inference,[],[i_0_640,i_0_629,i_0_1357,i_0_1360,i_0_503,i_0_363,i_0_859,i_0_312,i_0_794,i_0_1189,i_0_833,i_0_250,i_0_518,i_0_269,i_0_598,i_0_450,i_0_462,i_0_790,i_0_814,i_0_560,i_0_534,i_0_1334,i_0_392,i_0_1021,i_0_1221,i_0_1342,i_0_959,i_0_1286,i_0_713,i_0_1206,i_0_1027,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_852,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_292,i_0_286,i_0_288,i_0_294]) ).
cnf(i_0_1364,plain,
~ proper_subset(esk4_3(empty_set,empty_set,esk9_0),set_difference(X1,set_difference(X1,empty_set))),
inference(rename_variables,[],[i_0_1189]) ).
cnf(i_0_1365,plain,
~ proper_subset(esk4_3(esk4_3(empty_set,empty_set,esk9_0),esk4_3(empty_set,empty_set,esk9_0),esk9_0),set_difference(X1,set_difference(X1,empty_set))),
inference(scs_inference,[],[i_0_640,i_0_629,i_0_1357,i_0_1360,i_0_1362,i_0_503,i_0_363,i_0_859,i_0_312,i_0_794,i_0_1189,i_0_1364,i_0_833,i_0_250,i_0_518,i_0_269,i_0_598,i_0_450,i_0_462,i_0_790,i_0_814,i_0_560,i_0_534,i_0_1334,i_0_392,i_0_1021,i_0_1221,i_0_1342,i_0_959,i_0_1286,i_0_713,i_0_1206,i_0_1027,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_852,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_292,i_0_286,i_0_288,i_0_294,i_0_293]) ).
cnf(i_0_1366,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1367,plain,
~ in(esk4_3(empty_set,empty_set,empty_set),esk4_3(unordered_pair(esk10_0,esk10_0),unordered_pair(esk10_0,esk10_0),esk9_0)),
inference(scs_inference,[],[i_0_640,i_0_629,i_0_1357,i_0_1360,i_0_1362,i_0_1366,i_0_503,i_0_363,i_0_859,i_0_312,i_0_794,i_0_1189,i_0_1364,i_0_833,i_0_250,i_0_518,i_0_269,i_0_598,i_0_450,i_0_462,i_0_790,i_0_814,i_0_560,i_0_534,i_0_1334,i_0_392,i_0_1021,i_0_1221,i_0_1342,i_0_959,i_0_970,i_0_1286,i_0_713,i_0_1206,i_0_1027,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_852,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_292,i_0_286,i_0_288,i_0_294,i_0_293,i_0_287]) ).
cnf(i_0_1368,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1369,plain,
~ subset(set_union2(unordered_pair(X1,X1),X2),esk4_3(esk4_3(empty_set,empty_set,esk9_0),esk4_3(empty_set,empty_set,esk9_0),esk9_0)),
inference(scs_inference,[],[i_0_640,i_0_629,i_0_1357,i_0_1360,i_0_1362,i_0_1366,i_0_1368,i_0_503,i_0_363,i_0_859,i_0_312,i_0_794,i_0_1189,i_0_1364,i_0_833,i_0_250,i_0_518,i_0_269,i_0_598,i_0_450,i_0_462,i_0_790,i_0_814,i_0_560,i_0_534,i_0_1334,i_0_392,i_0_1021,i_0_1221,i_0_1342,i_0_959,i_0_1101,i_0_970,i_0_1286,i_0_713,i_0_1206,i_0_1027,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_852,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_292,i_0_286,i_0_288,i_0_294,i_0_293,i_0_287,i_0_289]) ).
cnf(i_0_1370,plain,
esk4_3(X1,X1,esk9_0) = X1,
inference(rename_variables,[],[i_0_629]) ).
cnf(i_0_1371,plain,
unordered_pair(X1,X1) != set_union2(empty_set,empty_set),
inference(scs_inference,[],[i_0_640,i_0_629,i_0_1357,i_0_1360,i_0_1362,i_0_1366,i_0_1368,i_0_844,i_0_503,i_0_952,i_0_363,i_0_859,i_0_312,i_0_794,i_0_1189,i_0_1364,i_0_833,i_0_250,i_0_518,i_0_269,i_0_598,i_0_450,i_0_462,i_0_790,i_0_814,i_0_560,i_0_534,i_0_1334,i_0_392,i_0_1021,i_0_1221,i_0_1342,i_0_959,i_0_1101,i_0_970,i_0_1286,i_0_713,i_0_1206,i_0_1027,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_852,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_292,i_0_286,i_0_288,i_0_294,i_0_293,i_0_287,i_0_289,i_0_273]) ).
cnf(i_0_1372,plain,
set_union2(empty_set,empty_set) = set_difference(X1,set_difference(X1,empty_set)),
inference(rename_variables,[],[i_0_952]) ).
cnf(i_0_1373,plain,
in(esk5_3(empty_set,empty_set,unordered_pair(X1,X1)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_640,i_0_629,i_0_1357,i_0_1360,i_0_1362,i_0_1366,i_0_1368,i_0_844,i_0_503,i_0_952,i_0_363,i_0_859,i_0_312,i_0_794,i_0_1189,i_0_1364,i_0_833,i_0_250,i_0_518,i_0_269,i_0_598,i_0_450,i_0_462,i_0_790,i_0_814,i_0_560,i_0_534,i_0_1334,i_0_392,i_0_1021,i_0_1221,i_0_1342,i_0_959,i_0_1101,i_0_970,i_0_1286,i_0_713,i_0_1206,i_0_1027,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_852,i_0_309,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_292,i_0_286,i_0_288,i_0_294,i_0_293,i_0_287,i_0_289,i_0_273,i_0_170]) ).
cnf(i_0_1374,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_309]) ).
cnf(i_0_1375,plain,
( X1 = set_union2(X2,X3)
| in(esk5_3(X2,X3,X1),X1)
| in(esk5_3(X2,X3,X1),X2)
| in(esk5_3(X2,X3,X1),X3) ),
inference(rename_variables,[],[i_0_170]) ).
cnf(i_0_1376,plain,
esk5_3(empty_set,empty_set,unordered_pair(X1,X1)) = X1,
inference(scs_inference,[],[i_0_640,i_0_629,i_0_1357,i_0_1360,i_0_1362,i_0_1366,i_0_1368,i_0_844,i_0_503,i_0_952,i_0_363,i_0_859,i_0_312,i_0_794,i_0_1189,i_0_1364,i_0_833,i_0_250,i_0_518,i_0_269,i_0_598,i_0_450,i_0_462,i_0_790,i_0_814,i_0_560,i_0_534,i_0_1334,i_0_392,i_0_1021,i_0_1221,i_0_1342,i_0_959,i_0_1101,i_0_970,i_0_1286,i_0_713,i_0_1206,i_0_1027,i_0_877,i_0_1308,i_0_1319,i_0_219,i_0_852,i_0_309,i_0_207,i_0_300,i_0_230,i_0_252,i_0_296,i_0_217,i_0_299,i_0_306,i_0_301,i_0_302,i_0_215,i_0_216,i_0_304,i_0_229,i_0_258,i_0_259,i_0_272,i_0_210,i_0_211,i_0_298,i_0_237,i_0_214,i_0_224,i_0_212,i_0_213,i_0_290,i_0_292,i_0_286,i_0_288,i_0_294,i_0_293,i_0_287,i_0_289,i_0_273,i_0_170,i_0_303]) ).
cnf(i_0_1377,plain,
( ~ in(X1,unordered_pair(X2,X3))
| X1 = X2
| X1 = X3 ),
inference(rename_variables,[],[i_0_303]) ).
cnf(i_0_1378,plain,
unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X2)) != X1,
inference(rename_variables,[],[i_0_583]) ).
cnf(i_0_1380,plain,
~ in(X1,esk4_3(set_difference(empty_set,X2),set_difference(empty_set,X2),empty_set)),
inference(scs_inference,[],[i_0_1353,i_0_207]) ).
cnf(i_0_1381,plain,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_1382,plain,
subset(esk5_3(empty_set,empty_set,unordered_pair(empty_set,empty_set)),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_1376,i_0_1353,i_0_207,i_0_230]) ).
cnf(i_0_1383,plain,
esk5_3(empty_set,empty_set,unordered_pair(X1,X1)) = X1,
inference(rename_variables,[],[i_0_1376]) ).
cnf(i_0_1384,plain,
( X1 != empty_set
| subset(X1,unordered_pair(X2,X2)) ),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_1385,plain,
$false,
inference(scs_inference,[],[i_0_1376,i_0_1303,i_0_1160,i_0_1353,i_0_207,i_0_230,i_0_217]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU147+2 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n004.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 02:46:32 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 5.96/5.62 % Version : CSE_E---1.7
% 5.96/5.62 % Problem : theBenchmark.p
% 5.96/5.62 % SZS status Theorem for theBenchmark.p
% 5.96/5.62 % SZS output start CNFRefutation
% See solution above
% 9.85/9.55 % Total time : 5.274s
%------------------------------------------------------------------------------