%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU209+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n026.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 05:11:04 PM UTC 2026
% Result : Theorem 49.35s 25.68s
% Output : CNFRefutation 55.30s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_47)
% Comments :
%------------------------------------------------------------------------------
fof(fc1_zfmisc_1,axiom,
! [X1,X2] : ~ empty(ordered_pair(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_zfmisc_1) ).
fof(d14_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2,X3] :
( X3 = relation_inverse_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(ordered_pair(X4,X5),X1)
& in(X5,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(d4_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(t167_relat_1,conjecture,
! [X1,X2] :
( relation(X2)
=> subset(relation_inverse_image(X2,X1),relation_dom(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t167_relat_1) ).
fof(fc3_subset_1,axiom,
! [X1,X2] : ~ empty(unordered_pair(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_subset_1) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(fc5_relat_1,axiom,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_dom(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ empty(powerset(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(fc2_subset_1,axiom,
! [X1] : ~ empty(singleton(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_subset_1) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(rc2_relat_1,axiom,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(fc7_relat_1,axiom,
! [X1] :
( empty(X1)
=> ( empty(relation_dom(X1))
& relation(relation_dom(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(cc1_relat_1,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(rc1_relat_1,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(fc4_relat_1,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_32,plain,
! [X1,X2] : ~ empty(ordered_pair(X1,X2)),
inference(fof_simplification,[status(thm)],[fc1_zfmisc_1]) ).
fof(i_0_33,plain,
! [X69,X70,X71,X72,X74,X75,X76,X77,X79] :
( ( in(ordered_pair(X72,esk1_4(X69,X70,X71,X72)),X69)
| ~ in(X72,X71)
| X71 != relation_inverse_image(X69,X70)
| ~ relation(X69) )
& ( in(esk1_4(X69,X70,X71,X72),X70)
| ~ in(X72,X71)
| X71 != relation_inverse_image(X69,X70)
| ~ relation(X69) )
& ( ~ in(ordered_pair(X74,X75),X69)
| ~ in(X75,X70)
| in(X74,X71)
| X71 != relation_inverse_image(X69,X70)
| ~ relation(X69) )
& ( ~ in(esk2_3(X69,X76,X77),X77)
| ~ in(ordered_pair(esk2_3(X69,X76,X77),X79),X69)
| ~ in(X79,X76)
| X77 = relation_inverse_image(X69,X76)
| ~ relation(X69) )
& ( in(ordered_pair(esk2_3(X69,X76,X77),esk3_3(X69,X76,X77)),X69)
| in(esk2_3(X69,X76,X77),X77)
| X77 = relation_inverse_image(X69,X76)
| ~ relation(X69) )
& ( in(esk3_3(X69,X76,X77),X76)
| in(esk2_3(X69,X76,X77),X77)
| X77 = relation_inverse_image(X69,X76)
| ~ relation(X69) ) ),
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)],[d14_relat_1])])])])])]) ).
fof(i_0_34,plain,
! [X97,X98] : ordered_pair(X97,X98) = unordered_pair(unordered_pair(X97,X98),singleton(X97)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(i_0_35,plain,
! [X87,X88,X89,X91,X92,X93,X95] :
( ( ~ in(X89,X88)
| in(ordered_pair(X89,esk5_3(X87,X88,X89)),X87)
| X88 != relation_dom(X87)
| ~ relation(X87) )
& ( ~ in(ordered_pair(X91,X92),X87)
| in(X91,X88)
| X88 != relation_dom(X87)
| ~ relation(X87) )
& ( ~ in(esk6_2(X87,X93),X93)
| ~ in(ordered_pair(esk6_2(X87,X93),X95),X87)
| X93 = relation_dom(X87)
| ~ relation(X87) )
& ( in(esk6_2(X87,X93),X93)
| in(ordered_pair(esk6_2(X87,X93),esk7_2(X87,X93)),X87)
| X93 = relation_dom(X87)
| ~ relation(X87) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_relat_1])])])])])]) ).
fof(i_0_36,plain,
! [X102,X103] : ~ empty(ordered_pair(X102,X103)),
inference(variable_rename,[status(thm)],[i_0_32]) ).
fof(i_0_37,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> subset(relation_inverse_image(X2,X1),relation_dom(X2)) ),
inference(assume_negation,[status(cth)],[t167_relat_1]) ).
fof(i_0_38,plain,
! [X1,X2] : ~ empty(unordered_pair(X1,X2)),
inference(fof_simplification,[status(thm)],[fc3_subset_1]) ).
fof(i_0_39,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_40,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(i_0_41,plain,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_dom(X1)) ),
inference(fof_simplification,[status(thm)],[fc5_relat_1]) ).
fof(i_0_42,plain,
! [X1] : ~ empty(powerset(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(i_0_43,plain,
! [X1] : ~ empty(singleton(X1)),
inference(fof_simplification,[status(thm)],[fc2_subset_1]) ).
fof(i_0_44,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_45,plain,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
inference(fof_simplification,[status(thm)],[rc2_relat_1]) ).
cnf(i_0_46,plain,
( in(ordered_pair(X1,esk1_4(X2,X3,X4,X1)),X2)
| ~ in(X1,X4)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_33]) ).
cnf(i_0_47,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[i_0_34]) ).
cnf(i_0_48,plain,
( X3 = relation_inverse_image(X1,X2)
| ~ in(esk2_3(X1,X2,X3),X3)
| ~ in(ordered_pair(esk2_3(X1,X2,X3),X4),X1)
| ~ in(X4,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_33]) ).
cnf(i_0_49,plain,
( in(ordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_33]) ).
cnf(i_0_50,plain,
( in(ordered_pair(X1,esk5_3(X3,X2,X1)),X3)
| ~ in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[i_0_35]) ).
cnf(i_0_51,plain,
( X2 = relation_dom(X1)
| ~ in(esk6_2(X1,X2),X2)
| ~ in(ordered_pair(esk6_2(X1,X2),X3),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_35]) ).
cnf(i_0_52,plain,
( in(esk6_2(X1,X2),X2)
| in(ordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),X1)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_35]) ).
cnf(i_0_53,plain,
( in(X1,X5)
| ~ in(ordered_pair(X1,X2),X3)
| ~ in(X2,X4)
| X5 != relation_inverse_image(X3,X4)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[i_0_33]) ).
cnf(i_0_54,plain,
( in(X1,X4)
| ~ in(ordered_pair(X1,X2),X3)
| X4 != relation_dom(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[i_0_35]) ).
cnf(i_0_55,plain,
~ empty(ordered_pair(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_36]) ).
fof(i_0_56,plain,
! [X81,X82,X83,X84,X85] :
( ( ~ subset(X81,X82)
| ~ in(X83,X81)
| in(X83,X82) )
& ( in(esk4_2(X84,X85),X84)
| subset(X84,X85) )
& ( ~ in(esk4_2(X84,X85),X85)
| subset(X84,X85) ) ),
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])])])])])]) ).
fof(i_0_57,plain,
! [X126,X127,X128] :
( ~ in(X126,X127)
| ~ element(X127,powerset(X128))
| element(X126,X128) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_58,plain,
! [X129,X130,X131] :
( ~ in(X129,X130)
| ~ element(X130,powerset(X131))
| ~ empty(X131) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_59,negated_conjecture,
( relation(esk16_0)
& ~ subset(relation_inverse_image(esk16_0,esk15_0),relation_dom(esk16_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_37])])]) ).
fof(i_0_60,plain,
! [X105,X106] : ~ empty(unordered_pair(X105,X106)),
inference(variable_rename,[status(thm)],[i_0_38]) ).
fof(i_0_61,plain,
! [X124,X125] :
( ( ~ element(X124,powerset(X125))
| subset(X124,X125) )
& ( ~ subset(X124,X125)
| element(X124,powerset(X125)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_62,plain,
! [X64,X65] :
( ~ in(X64,X65)
| ~ in(X65,X64) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_39])]) ).
fof(i_0_63,plain,
! [X122,X123] :
( ~ element(X122,X123)
| empty(X123)
| in(X122,X123) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_64,plain,
! [X120,X121] :
( ~ in(X120,X121)
| element(X120,X121) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_65,plain,
! [X110] :
( ( element(esk10_1(X110),powerset(X110))
| empty(X110) )
& ( ~ empty(esk10_1(X110))
| empty(X110) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_40])])])]) ).
fof(i_0_66,plain,
! [X133,X134] :
( ~ in(X133,X134)
| ~ empty(X134) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_67,plain,
! [X107] :
( empty(X107)
| ~ relation(X107)
| ~ empty(relation_dom(X107)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_41])]) ).
fof(i_0_68,plain,
! [X67,X68] : unordered_pair(X67,X68) = unordered_pair(X68,X67),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(i_0_69,plain,
! [X114] :
( element(esk13_1(X114),powerset(X114))
& empty(esk13_1(X114)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(i_0_70,plain,
! [X99] : element(esk8_1(X99),X99),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_71,plain,
! [X108] :
( ( empty(relation_dom(X108))
| ~ empty(X108) )
& ( relation(relation_dom(X108))
| ~ empty(X108) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc7_relat_1])])]) ).
fof(i_0_72,plain,
! [X101] : ~ empty(powerset(X101)),
inference(variable_rename,[status(thm)],[i_0_42]) ).
fof(i_0_73,plain,
! [X104] : ~ empty(singleton(X104)),
inference(variable_rename,[status(thm)],[i_0_43]) ).
fof(i_0_74,plain,
! [X135,X136] :
( ~ empty(X135)
| X135 = X136
| ~ empty(X136) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_75,plain,
! [X117] : subset(X117,X117),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_76,plain,
! [X66] :
( ~ empty(X66)
| relation(X66) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
fof(i_0_77,plain,
! [X132] :
( ~ empty(X132)
| X132 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_78,plain,
~ empty(esk14_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_44])]) ).
fof(i_0_79,plain,
( ~ empty(esk12_0)
& relation(esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_45])]) ).
fof(i_0_80,plain,
( empty(esk9_0)
& relation(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
fof(i_0_81,plain,
empty(esk11_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_82,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
inference(rw,[status(thm)],[i_0_46,c_0_47]),
[final] ).
cnf(i_0_83,plain,
( X3 = relation_inverse_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X2)
| ~ in(esk2_3(X1,X2,X3),X3)
| ~ in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),X4),singleton(esk2_3(X1,X2,X3))),X1) ),
inference(rw,[status(thm)],[i_0_48,c_0_47]),
[final] ).
cnf(i_0_84,plain,
( X3 = relation_inverse_image(X1,X2)
| in(esk2_3(X1,X2,X3),X3)
| in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[i_0_49,c_0_47]),
[final] ).
cnf(i_0_85,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X3,X2,X1)),singleton(X1)),X3)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_50,c_0_47]),
[final] ).
cnf(i_0_86,plain,
( X2 = relation_dom(X1)
| ~ relation(X1)
| ~ in(esk6_2(X1,X2),X2)
| ~ in(unordered_pair(unordered_pair(esk6_2(X1,X2),X3),singleton(esk6_2(X1,X2))),X1) ),
inference(rw,[status(thm)],[i_0_51,c_0_47]),
[final] ).
cnf(i_0_87,plain,
( in(esk1_4(X1,X2,X3,X4),X2)
| ~ in(X4,X3)
| X3 != relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_88,plain,
( X2 = relation_dom(X1)
| in(esk6_2(X1,X2),X2)
| in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[i_0_52,c_0_47]),
[final] ).
cnf(i_0_89,plain,
( in(esk3_3(X1,X2,X3),X2)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_90,plain,
( in(X1,X5)
| X5 != relation_inverse_image(X3,X4)
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
inference(rw,[status(thm)],[i_0_53,c_0_47]),
[final] ).
cnf(i_0_91,plain,
( in(X1,X4)
| X4 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
inference(rw,[status(thm)],[i_0_54,c_0_47]),
[final] ).
cnf(i_0_92,plain,
~ empty(unordered_pair(unordered_pair(X1,X2),singleton(X1))),
inference(rw,[status(thm)],[i_0_55,c_0_47]),
[final] ).
cnf(i_0_93,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_94,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_95,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_96,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_97,negated_conjecture,
~ subset(relation_inverse_image(esk16_0,esk15_0),relation_dom(esk16_0)),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_98,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_99,plain,
~ empty(unordered_pair(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_100,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_101,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_102,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_103,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_104,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_105,plain,
( element(esk10_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_106,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_107,plain,
( empty(X1)
| ~ relation(X1)
| ~ empty(relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_108,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_109,plain,
element(esk13_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_110,plain,
( empty(X1)
| ~ empty(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_111,plain,
element(esk8_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_112,plain,
( relation(relation_dom(X1))
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_113,plain,
( empty(relation_dom(X1))
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_114,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_115,plain,
~ empty(singleton(X1)),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_116,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_117,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_118,plain,
( relation(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_119,plain,
empty(esk13_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_120,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_121,plain,
~ empty(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_122,plain,
~ empty(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_123,negated_conjecture,
relation(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_124,plain,
relation(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_125,plain,
relation(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_126,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_127,plain,
empty(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_128,plain,
empty(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_129,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_130,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_131,axiom,
X1 = X1 ).
cnf(i_0_132,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_133,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_134,axiom,
( X1 != X2
| unordered_pair(X1,X3) = unordered_pair(X2,X3) ) ).
cnf(i_0_135,axiom,
( X1 != X2
| unordered_pair(X3,X1) = unordered_pair(X3,X2) ) ).
cnf(i_0_136,axiom,
( X1 != X2
| relation_inverse_image(X1,X3) = relation_inverse_image(X2,X3) ) ).
cnf(i_0_137,axiom,
( X1 != X2
| relation_inverse_image(X3,X1) = relation_inverse_image(X3,X2) ) ).
cnf(i_0_138,axiom,
( X1 != X2
| relation_dom(X1) = relation_dom(X2) ) ).
cnf(i_0_139,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_140,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_141,axiom,
( X1 != X2
| ~ relation(X1)
| relation(X2) ) ).
cnf(i_0_142,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_143,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_144,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_145,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_146,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_131_001,axiom,
X1 = X1 ).
cnf(i_0_132_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_133_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_134_004,axiom,
( X1 != X2
| unordered_pair(X1,X3) = unordered_pair(X2,X3) ) ).
cnf(i_0_135_005,axiom,
( X1 != X2
| unordered_pair(X3,X1) = unordered_pair(X3,X2) ) ).
cnf(i_0_136_006,axiom,
( X1 != X2
| relation_inverse_image(X1,X3) = relation_inverse_image(X2,X3) ) ).
cnf(i_0_137_007,axiom,
( X1 != X2
| relation_inverse_image(X3,X1) = relation_inverse_image(X3,X2) ) ).
cnf(i_0_138_008,axiom,
( X1 != X2
| relation_dom(X1) = relation_dom(X2) ) ).
cnf(i_0_139_009,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_140_010,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_141_011,axiom,
( X1 != X2
| ~ relation(X1)
| relation(X2) ) ).
cnf(i_0_142_012,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_143_013,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_144_014,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_145_015,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_146_016,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_147,plain,
( ~ relation(X1)
| ~ in(X2,relation_inverse_image(X1,X3))
| in(unordered_pair(unordered_pair(X2,esk1_4(X1,X3,relation_inverse_image(X1,X3),X2)),singleton(X2)),X1) ),
inference(equality_inference,[],[82]) ).
cnf(i_0_148,plain,
( ~ relation(X1)
| ~ in(X2,relation_dom(X1))
| in(unordered_pair(unordered_pair(X2,esk5_3(X1,relation_dom(X1),X2)),singleton(X2)),X1) ),
inference(equality_inference,[],[85]) ).
cnf(i_0_149,plain,
( ~ in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| in(esk1_4(X2,X3,relation_inverse_image(X2,X3),X1),X3) ),
inference(equality_inference,[],[87]) ).
cnf(i_0_150,plain,
( ~ relation(X1)
| in(X2,relation_inverse_image(X1,X3))
| ~ in(X4,X3)
| ~ in(unordered_pair(unordered_pair(X2,X4),singleton(X2)),X1) ),
inference(equality_inference,[],[90]) ).
cnf(i_0_151,plain,
( ~ relation(X1)
| in(X2,relation_dom(X1))
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1) ),
inference(equality_inference,[],[91]) ).
cnf(i_0_152,plain,
subset(esk13_1(X1),X1),
inference(scs_inference,[],[i_0_109,i_0_100]) ).
cnf(i_0_153,plain,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_154,plain,
~ in(X1,esk11_0),
inference(scs_inference,[],[i_0_109,i_0_127,i_0_100,i_0_106]) ).
cnf(i_0_155,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_106]) ).
cnf(i_0_156,plain,
relation(esk11_0),
inference(scs_inference,[],[i_0_109,i_0_127,i_0_100,i_0_106,i_0_118]) ).
cnf(i_0_157,plain,
( ~ empty(X1)
| relation(X1) ),
inference(rename_variables,[],[i_0_118]) ).
cnf(i_0_158,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(scs_inference,[],[i_0_109,i_0_127,i_0_100,i_0_106,i_0_118,i_0_147]) ).
cnf(i_0_159,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,relation_inverse_image(X2,X3),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_160,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(scs_inference,[],[i_0_123,i_0_109,i_0_127,i_0_100,i_0_106,i_0_118,i_0_147,i_0_149]) ).
cnf(i_0_161,plain,
( ~ relation(X1)
| in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_162,plain,
relation_dom(esk16_0) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_117,i_0_109,i_0_127,i_0_100,i_0_106,i_0_118,i_0_147,i_0_149,i_0_143]) ).
cnf(i_0_163,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_164,plain,
relation_inverse_image(esk16_0,esk15_0) != relation_dom(esk16_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_117,i_0_163,i_0_109,i_0_127,i_0_100,i_0_106,i_0_118,i_0_147,i_0_149,i_0_143,i_0_144]) ).
cnf(i_0_165,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_166,plain,
~ in(X1,esk13_1(esk11_0)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_117,i_0_163,i_0_109,i_0_127,i_0_100,i_0_106,i_0_118,i_0_147,i_0_149,i_0_143,i_0_144,i_0_95]) ).
cnf(i_0_167,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_168,plain,
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_169,plain,
in(esk13_1(X1),powerset(X1)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_117,i_0_163,i_0_109,i_0_167,i_0_127,i_0_114,i_0_100,i_0_106,i_0_118,i_0_147,i_0_149,i_0_143,i_0_144,i_0_95,i_0_103]) ).
cnf(i_0_170,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_171,plain,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_172,plain,
powerset(X1) != relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_117,i_0_163,i_0_109,i_0_167,i_0_127,i_0_114,i_0_100,i_0_106,i_0_118,i_0_147,i_0_149,i_0_143,i_0_144,i_0_95,i_0_103,i_0_140]) ).
cnf(i_0_173,plain,
esk11_0 != esk14_0,
inference(scs_inference,[],[i_0_97,i_0_123,i_0_117,i_0_163,i_0_109,i_0_167,i_0_121,i_0_127,i_0_114,i_0_100,i_0_106,i_0_118,i_0_147,i_0_149,i_0_143,i_0_144,i_0_95,i_0_103,i_0_140,i_0_142]) ).
cnf(i_0_174,plain,
subset(esk13_1(esk11_0),X1),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_117,i_0_163,i_0_109,i_0_167,i_0_121,i_0_127,i_0_114,i_0_100,i_0_106,i_0_118,i_0_147,i_0_149,i_0_143,i_0_144,i_0_95,i_0_103,i_0_140,i_0_142,i_0_98]) ).
cnf(i_0_175,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_176,plain,
~ in(powerset(X1),esk13_1(X1)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_117,i_0_163,i_0_109,i_0_167,i_0_121,i_0_127,i_0_114,i_0_100,i_0_106,i_0_118,i_0_147,i_0_149,i_0_143,i_0_144,i_0_95,i_0_103,i_0_140,i_0_142,i_0_98,i_0_101]) ).
cnf(i_0_177,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_178,plain,
~ subset(powerset(X1),relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_117,i_0_163,i_0_109,i_0_167,i_0_121,i_0_127,i_0_114,i_0_100,i_0_106,i_0_118,i_0_147,i_0_149,i_0_143,i_0_144,i_0_95,i_0_103,i_0_140,i_0_142,i_0_98,i_0_101,i_0_96]) ).
cnf(i_0_179,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_180,plain,
( relation(X1)
| esk16_0 != X1 ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_117,i_0_163,i_0_109,i_0_167,i_0_121,i_0_127,i_0_114,i_0_100,i_0_106,i_0_118,i_0_147,i_0_149,i_0_143,i_0_144,i_0_95,i_0_103,i_0_140,i_0_142,i_0_98,i_0_101,i_0_96,i_0_141]) ).
cnf(i_0_181,plain,
( element(X1,X2)
| ~ in(X1,esk13_1(X2)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_117,i_0_163,i_0_109,i_0_167,i_0_170,i_0_121,i_0_127,i_0_114,i_0_100,i_0_106,i_0_118,i_0_147,i_0_149,i_0_143,i_0_144,i_0_95,i_0_103,i_0_140,i_0_142,i_0_98,i_0_101,i_0_96,i_0_141,i_0_94]) ).
cnf(i_0_182,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_183,plain,
( X1 != powerset(X2)
| ~ in(X1,esk13_1(X2)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_117,i_0_163,i_0_109,i_0_167,i_0_170,i_0_121,i_0_127,i_0_114,i_0_100,i_0_106,i_0_118,i_0_147,i_0_149,i_0_143,i_0_144,i_0_95,i_0_103,i_0_140,i_0_142,i_0_98,i_0_101,i_0_96,i_0_141,i_0_94,i_0_139]) ).
cnf(i_0_184,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_185,plain,
( esk16_0 != esk13_1(X1)
| unordered_pair(unordered_pair(esk13_1(X1),esk1_4(esk13_1(X1),X2,powerset(X1),esk13_1(X1))),singleton(esk13_1(X1))) != powerset(X1)
| powerset(X1) != relation_inverse_image(esk13_1(X1),X2) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_117,i_0_163,i_0_109,i_0_167,i_0_170,i_0_121,i_0_127,i_0_114,i_0_100,i_0_106,i_0_118,i_0_147,i_0_149,i_0_143,i_0_144,i_0_95,i_0_103,i_0_140,i_0_142,i_0_98,i_0_101,i_0_96,i_0_141,i_0_139,i_0_82]) ).
cnf(i_0_186,plain,
relation(esk16_0),
inference(equality_inference,[],[180]) ).
cnf(i_0_187,plain,
~ in(powerset(X1),esk13_1(X1)),
inference(equality_inference,[],[183]) ).
cnf(i_0_188,plain,
subset(relation_inverse_image(esk11_0,X1),X2),
inference(scs_inference,[],[i_0_158,i_0_98]) ).
cnf(i_0_189,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_190,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_191,plain,
subset(esk8_1(powerset(X1)),X1),
inference(scs_inference,[],[i_0_158,i_0_111,i_0_98,i_0_100]) ).
cnf(i_0_192,plain,
element(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_193,plain,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_194,plain,
~ in(X1,esk9_0),
inference(scs_inference,[],[i_0_158,i_0_111,i_0_128,i_0_98,i_0_100,i_0_106]) ).
cnf(i_0_195,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_106]) ).
cnf(i_0_196,plain,
relation(esk13_1(X1)),
inference(scs_inference,[],[i_0_158,i_0_111,i_0_128,i_0_119,i_0_98,i_0_100,i_0_106,i_0_118]) ).
cnf(i_0_197,plain,
( ~ empty(X1)
| relation(X1) ),
inference(rename_variables,[],[i_0_118]) ).
cnf(i_0_198,plain,
~ in(X1,relation_dom(esk13_1(esk11_0))),
inference(scs_inference,[],[i_0_158,i_0_166,i_0_111,i_0_128,i_0_119,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148]) ).
cnf(i_0_199,plain,
~ in(X1,esk13_1(esk11_0)),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_200,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_201,plain,
~ subset(powerset(X1),relation_inverse_image(esk11_0,X2)),
inference(scs_inference,[],[i_0_158,i_0_189,i_0_169,i_0_166,i_0_111,i_0_128,i_0_119,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96]) ).
cnf(i_0_202,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_203,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_204,plain,
~ in(X1,relation_inverse_image(esk13_1(esk11_0),X2)),
inference(scs_inference,[],[i_0_158,i_0_189,i_0_169,i_0_166,i_0_199,i_0_111,i_0_128,i_0_119,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147]) ).
cnf(i_0_205,plain,
~ in(X1,esk13_1(esk11_0)),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_206,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,relation_inverse_image(X2,X3),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_207,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(scs_inference,[],[i_0_158,i_0_189,i_0_202,i_0_169,i_0_166,i_0_199,i_0_111,i_0_124,i_0_128,i_0_119,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149]) ).
cnf(i_0_208,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_209,plain,
( ~ relation(X1)
| in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_210,plain,
~ in(X1,esk8_1(powerset(esk9_0))),
inference(scs_inference,[],[i_0_158,i_0_189,i_0_202,i_0_169,i_0_166,i_0_199,i_0_111,i_0_192,i_0_124,i_0_128,i_0_119,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95]) ).
cnf(i_0_211,plain,
element(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_212,plain,
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_213,plain,
in(esk8_1(esk12_0),esk12_0),
inference(scs_inference,[],[i_0_158,i_0_189,i_0_202,i_0_169,i_0_166,i_0_199,i_0_111,i_0_192,i_0_211,i_0_122,i_0_124,i_0_128,i_0_119,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95,i_0_103]) ).
cnf(i_0_214,plain,
element(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_215,plain,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_216,plain,
esk13_1(relation_dom(esk16_0)) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_152,i_0_158,i_0_189,i_0_202,i_0_169,i_0_166,i_0_199,i_0_111,i_0_192,i_0_211,i_0_122,i_0_124,i_0_128,i_0_119,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95,i_0_103,i_0_143]) ).
cnf(i_0_217,plain,
subset(esk13_1(X1),X1),
inference(rename_variables,[],[i_0_152]) ).
cnf(i_0_218,plain,
powerset(X1) != relation_inverse_image(esk11_0,X2),
inference(scs_inference,[],[i_0_97,i_0_152,i_0_158,i_0_189,i_0_202,i_0_169,i_0_166,i_0_199,i_0_111,i_0_192,i_0_211,i_0_122,i_0_124,i_0_128,i_0_119,i_0_117,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95,i_0_103,i_0_143,i_0_144]) ).
cnf(i_0_219,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_220,plain,
powerset(X1) != esk13_1(esk11_0),
inference(scs_inference,[],[i_0_97,i_0_152,i_0_158,i_0_189,i_0_202,i_0_169,i_0_166,i_0_199,i_0_205,i_0_111,i_0_192,i_0_211,i_0_122,i_0_124,i_0_128,i_0_119,i_0_117,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95,i_0_103,i_0_143,i_0_144,i_0_140]) ).
cnf(i_0_221,plain,
~ in(X1,esk13_1(esk11_0)),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_222,plain,
esk9_0 != esk12_0,
inference(scs_inference,[],[i_0_97,i_0_152,i_0_158,i_0_189,i_0_202,i_0_169,i_0_166,i_0_199,i_0_205,i_0_111,i_0_192,i_0_211,i_0_122,i_0_124,i_0_128,i_0_119,i_0_117,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95,i_0_103,i_0_143,i_0_144,i_0_140,i_0_142]) ).
cnf(i_0_223,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk13_1(esk11_0),X2),
inference(scs_inference,[],[i_0_97,i_0_152,i_0_158,i_0_189,i_0_202,i_0_208,i_0_169,i_0_166,i_0_199,i_0_205,i_0_221,i_0_111,i_0_192,i_0_211,i_0_122,i_0_124,i_0_128,i_0_119,i_0_117,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95,i_0_103,i_0_143,i_0_144,i_0_140,i_0_142,i_0_84]) ).
cnf(i_0_224,plain,
~ in(X1,esk13_1(esk11_0)),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_225,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_226,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_227,plain,
powerset(X1) != relation_dom(esk13_1(esk11_0)),
inference(scs_inference,[],[i_0_97,i_0_152,i_0_158,i_0_189,i_0_202,i_0_208,i_0_169,i_0_166,i_0_199,i_0_205,i_0_221,i_0_224,i_0_111,i_0_192,i_0_211,i_0_122,i_0_124,i_0_128,i_0_119,i_0_117,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95,i_0_103,i_0_143,i_0_144,i_0_140,i_0_142,i_0_84,i_0_85]) ).
cnf(i_0_228,plain,
~ in(X1,esk13_1(esk11_0)),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_229,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_230,plain,
relation_inverse_image(esk11_0,X1) = relation_dom(esk13_1(esk11_0)),
inference(scs_inference,[],[i_0_97,i_0_152,i_0_158,i_0_189,i_0_202,i_0_208,i_0_225,i_0_169,i_0_166,i_0_199,i_0_205,i_0_221,i_0_224,i_0_228,i_0_111,i_0_192,i_0_211,i_0_122,i_0_124,i_0_128,i_0_119,i_0_117,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95,i_0_103,i_0_143,i_0_144,i_0_140,i_0_142,i_0_84,i_0_85,i_0_88]) ).
cnf(i_0_231,plain,
~ in(X1,esk13_1(esk11_0)),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_232,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_233,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_234,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_152,i_0_158,i_0_189,i_0_202,i_0_208,i_0_225,i_0_232,i_0_160,i_0_169,i_0_166,i_0_199,i_0_205,i_0_221,i_0_224,i_0_228,i_0_111,i_0_192,i_0_211,i_0_122,i_0_124,i_0_128,i_0_119,i_0_117,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95,i_0_103,i_0_143,i_0_144,i_0_140,i_0_142,i_0_84,i_0_85,i_0_88,i_0_89]) ).
cnf(i_0_235,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_236,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_237,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_238,plain,
powerset(X1) != relation_inverse_image(esk9_0,X2),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_152,i_0_158,i_0_189,i_0_202,i_0_208,i_0_225,i_0_232,i_0_160,i_0_169,i_0_166,i_0_199,i_0_205,i_0_221,i_0_224,i_0_228,i_0_111,i_0_192,i_0_211,i_0_122,i_0_124,i_0_125,i_0_128,i_0_119,i_0_117,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95,i_0_103,i_0_143,i_0_144,i_0_140,i_0_142,i_0_84,i_0_85,i_0_88,i_0_89,i_0_82]) ).
cnf(i_0_239,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_240,plain,
relation_inverse_image(esk13_1(esk11_0),X1) = relation_inverse_image(esk11_0,X2),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_152,i_0_158,i_0_189,i_0_202,i_0_208,i_0_225,i_0_232,i_0_160,i_0_169,i_0_166,i_0_199,i_0_205,i_0_221,i_0_224,i_0_228,i_0_111,i_0_192,i_0_211,i_0_122,i_0_124,i_0_125,i_0_128,i_0_119,i_0_117,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95,i_0_103,i_0_143,i_0_144,i_0_140,i_0_142,i_0_84,i_0_85,i_0_88,i_0_89,i_0_82,i_0_132]) ).
cnf(i_0_241,plain,
~ in(esk12_0,esk8_1(esk12_0)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_152,i_0_158,i_0_189,i_0_202,i_0_208,i_0_225,i_0_232,i_0_160,i_0_169,i_0_166,i_0_199,i_0_205,i_0_221,i_0_224,i_0_228,i_0_111,i_0_192,i_0_211,i_0_122,i_0_124,i_0_125,i_0_128,i_0_119,i_0_117,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95,i_0_103,i_0_143,i_0_144,i_0_140,i_0_142,i_0_84,i_0_85,i_0_88,i_0_89,i_0_82,i_0_132,i_0_101]) ).
cnf(i_0_242,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_243,plain,
relation_inverse_image(esk13_1(esk11_0),X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_152,i_0_158,i_0_189,i_0_202,i_0_208,i_0_225,i_0_232,i_0_160,i_0_169,i_0_166,i_0_199,i_0_205,i_0_221,i_0_224,i_0_228,i_0_111,i_0_192,i_0_211,i_0_122,i_0_124,i_0_125,i_0_128,i_0_119,i_0_117,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95,i_0_103,i_0_143,i_0_144,i_0_140,i_0_142,i_0_84,i_0_85,i_0_88,i_0_89,i_0_82,i_0_132,i_0_101,i_0_133]) ).
cnf(i_0_244,plain,
( element(X1,X2)
| ~ in(X1,esk8_1(powerset(X2))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_152,i_0_158,i_0_189,i_0_202,i_0_208,i_0_225,i_0_232,i_0_160,i_0_169,i_0_166,i_0_199,i_0_205,i_0_221,i_0_224,i_0_228,i_0_111,i_0_192,i_0_211,i_0_214,i_0_122,i_0_124,i_0_125,i_0_128,i_0_119,i_0_117,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95,i_0_103,i_0_143,i_0_144,i_0_140,i_0_142,i_0_84,i_0_85,i_0_88,i_0_89,i_0_82,i_0_132,i_0_101,i_0_133,i_0_94]) ).
cnf(i_0_245,plain,
element(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_246,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_247,plain,
( relation(X1)
| esk12_0 != X1 ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_152,i_0_158,i_0_189,i_0_202,i_0_208,i_0_225,i_0_232,i_0_160,i_0_169,i_0_166,i_0_199,i_0_205,i_0_221,i_0_224,i_0_228,i_0_111,i_0_192,i_0_211,i_0_214,i_0_122,i_0_124,i_0_125,i_0_128,i_0_119,i_0_117,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95,i_0_103,i_0_143,i_0_144,i_0_140,i_0_142,i_0_84,i_0_85,i_0_88,i_0_89,i_0_82,i_0_132,i_0_101,i_0_133,i_0_94,i_0_141]) ).
cnf(i_0_248,plain,
( X1 != esk12_0
| ~ in(X1,esk8_1(esk12_0)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_152,i_0_158,i_0_189,i_0_202,i_0_208,i_0_225,i_0_232,i_0_160,i_0_169,i_0_166,i_0_199,i_0_205,i_0_221,i_0_224,i_0_228,i_0_111,i_0_192,i_0_211,i_0_214,i_0_122,i_0_124,i_0_125,i_0_128,i_0_119,i_0_117,i_0_98,i_0_100,i_0_106,i_0_118,i_0_148,i_0_96,i_0_147,i_0_149,i_0_95,i_0_103,i_0_143,i_0_144,i_0_140,i_0_142,i_0_84,i_0_85,i_0_88,i_0_89,i_0_82,i_0_132,i_0_101,i_0_133,i_0_94,i_0_141,i_0_139]) ).
cnf(i_0_249,plain,
relation(esk12_0),
inference(equality_inference,[],[247]) ).
cnf(i_0_250,plain,
~ in(esk12_0,esk8_1(esk12_0)),
inference(equality_inference,[],[248]) ).
cnf(i_0_251,plain,
subset(relation_inverse_image(esk13_1(esk11_0),X1),X2),
inference(scs_inference,[],[i_0_204,i_0_98]) ).
cnf(i_0_252,plain,
~ in(X1,relation_inverse_image(esk13_1(esk11_0),X2)),
inference(rename_variables,[],[i_0_204]) ).
cnf(i_0_253,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_254,plain,
~ in(X1,empty_set),
inference(scs_inference,[],[i_0_204,i_0_130,i_0_98,i_0_106]) ).
cnf(i_0_255,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_106]) ).
cnf(i_0_256,plain,
relation_dom(esk13_1(esk11_0)) = relation_inverse_image(esk11_0,X1),
inference(scs_inference,[],[i_0_204,i_0_230,i_0_130,i_0_98,i_0_106,i_0_132]) ).
cnf(i_0_257,plain,
~ in(X1,relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_204,i_0_230,i_0_154,i_0_130,i_0_156,i_0_98,i_0_106,i_0_132,i_0_148]) ).
cnf(i_0_258,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_259,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_260,plain,
~ subset(powerset(X1),relation_inverse_image(esk13_1(esk11_0),X2)),
inference(scs_inference,[],[i_0_204,i_0_252,i_0_230,i_0_169,i_0_154,i_0_130,i_0_156,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96]) ).
cnf(i_0_261,plain,
~ in(X1,relation_inverse_image(esk13_1(esk11_0),X2)),
inference(rename_variables,[],[i_0_204]) ).
cnf(i_0_262,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_263,plain,
in(esk8_1(unordered_pair(X1,X2)),unordered_pair(X1,X2)),
inference(scs_inference,[],[i_0_204,i_0_252,i_0_230,i_0_169,i_0_154,i_0_130,i_0_156,i_0_99,i_0_111,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103]) ).
cnf(i_0_264,plain,
element(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_265,plain,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_266,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(scs_inference,[],[i_0_204,i_0_252,i_0_230,i_0_169,i_0_154,i_0_194,i_0_130,i_0_156,i_0_99,i_0_111,i_0_125,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147]) ).
cnf(i_0_267,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_268,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,relation_inverse_image(X2,X3),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_269,plain,
~ in(X1,esk8_1(powerset(empty_set))),
inference(scs_inference,[],[i_0_204,i_0_252,i_0_230,i_0_169,i_0_154,i_0_194,i_0_130,i_0_156,i_0_99,i_0_111,i_0_264,i_0_125,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95]) ).
cnf(i_0_270,plain,
element(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_271,plain,
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_272,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk13_1(esk11_0),X2))),
inference(scs_inference,[],[i_0_123,i_0_204,i_0_252,i_0_261,i_0_230,i_0_169,i_0_154,i_0_194,i_0_130,i_0_156,i_0_99,i_0_111,i_0_264,i_0_125,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149]) ).
cnf(i_0_273,plain,
~ in(X1,relation_inverse_image(esk13_1(esk11_0),X2)),
inference(rename_variables,[],[i_0_204]) ).
cnf(i_0_274,plain,
( ~ relation(X1)
| in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_275,plain,
relation_inverse_image(esk13_1(esk11_0),X1) = relation_inverse_image(esk13_1(esk11_0),X2),
inference(scs_inference,[],[i_0_123,i_0_204,i_0_252,i_0_261,i_0_223,i_0_230,i_0_169,i_0_154,i_0_240,i_0_194,i_0_130,i_0_156,i_0_99,i_0_111,i_0_264,i_0_125,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133]) ).
cnf(i_0_276,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk13_1(esk11_0),X2),
inference(rename_variables,[],[i_0_223]) ).
cnf(i_0_277,plain,
esk8_1(powerset(relation_dom(esk16_0))) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_191,i_0_204,i_0_252,i_0_261,i_0_223,i_0_230,i_0_169,i_0_154,i_0_240,i_0_194,i_0_130,i_0_156,i_0_99,i_0_111,i_0_264,i_0_125,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_143]) ).
cnf(i_0_278,plain,
subset(esk8_1(powerset(X1)),X1),
inference(rename_variables,[],[i_0_191]) ).
cnf(i_0_279,plain,
empty_set != unordered_pair(X1,X2),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_191,i_0_204,i_0_252,i_0_261,i_0_223,i_0_230,i_0_169,i_0_154,i_0_240,i_0_194,i_0_130,i_0_156,i_0_99,i_0_111,i_0_264,i_0_125,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_143,i_0_142]) ).
cnf(i_0_280,plain,
powerset(X1) != relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_191,i_0_204,i_0_252,i_0_261,i_0_207,i_0_223,i_0_230,i_0_169,i_0_154,i_0_240,i_0_194,i_0_130,i_0_156,i_0_99,i_0_111,i_0_264,i_0_125,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_281,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_282,plain,
powerset(X1) != relation_dom(esk11_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_191,i_0_204,i_0_252,i_0_261,i_0_207,i_0_223,i_0_230,i_0_169,i_0_154,i_0_258,i_0_240,i_0_194,i_0_130,i_0_156,i_0_99,i_0_111,i_0_264,i_0_125,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_85]) ).
cnf(i_0_283,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_284,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_285,plain,
relation_inverse_image(esk13_1(esk11_0),X1) = relation_inverse_image(esk16_0,relation_dom(esk13_1(esk11_0))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_191,i_0_204,i_0_252,i_0_261,i_0_273,i_0_198,i_0_207,i_0_223,i_0_230,i_0_169,i_0_154,i_0_258,i_0_240,i_0_194,i_0_130,i_0_156,i_0_99,i_0_111,i_0_264,i_0_125,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_85,i_0_89]) ).
cnf(i_0_286,plain,
~ in(X1,relation_inverse_image(esk13_1(esk11_0),X2)),
inference(rename_variables,[],[i_0_204]) ).
cnf(i_0_287,plain,
~ in(X1,relation_dom(esk13_1(esk11_0))),
inference(rename_variables,[],[i_0_198]) ).
cnf(i_0_288,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_289,plain,
powerset(X1) != relation_inverse_image(empty_set,X2),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_191,i_0_204,i_0_252,i_0_261,i_0_273,i_0_198,i_0_207,i_0_223,i_0_230,i_0_169,i_0_154,i_0_258,i_0_240,i_0_194,i_0_126,i_0_130,i_0_156,i_0_99,i_0_111,i_0_264,i_0_125,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_85,i_0_89,i_0_82]) ).
cnf(i_0_290,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_291,plain,
~ in(unordered_pair(X1,X2),esk8_1(unordered_pair(X1,X2))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_191,i_0_204,i_0_252,i_0_261,i_0_273,i_0_198,i_0_207,i_0_223,i_0_230,i_0_169,i_0_154,i_0_258,i_0_240,i_0_194,i_0_126,i_0_130,i_0_156,i_0_99,i_0_111,i_0_264,i_0_125,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_85,i_0_89,i_0_82,i_0_101]) ).
cnf(i_0_292,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_293,plain,
( relation(X1)
| esk13_1(X2) != X1 ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_191,i_0_204,i_0_252,i_0_261,i_0_273,i_0_198,i_0_207,i_0_223,i_0_230,i_0_169,i_0_154,i_0_258,i_0_196,i_0_240,i_0_194,i_0_126,i_0_130,i_0_156,i_0_99,i_0_111,i_0_264,i_0_125,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_85,i_0_89,i_0_82,i_0_101,i_0_141]) ).
cnf(i_0_294,plain,
~ in(unordered_pair(X1,X2),esk8_1(unordered_pair(X2,X1))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_191,i_0_204,i_0_252,i_0_261,i_0_273,i_0_198,i_0_207,i_0_223,i_0_230,i_0_169,i_0_154,i_0_258,i_0_108,i_0_196,i_0_240,i_0_194,i_0_126,i_0_130,i_0_156,i_0_99,i_0_111,i_0_264,i_0_125,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_85,i_0_89,i_0_82,i_0_101,i_0_141,i_0_139]) ).
cnf(i_0_295,plain,
relation(esk13_1(X1)),
inference(equality_inference,[],[293]) ).
cnf(i_0_296,plain,
subset(relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)),X2),
inference(scs_inference,[],[i_0_160,i_0_98]) ).
cnf(i_0_297,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_298,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_299,plain,
~ in(X1,esk13_1(X2)),
inference(scs_inference,[],[i_0_160,i_0_119,i_0_98,i_0_106]) ).
cnf(i_0_300,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_106]) ).
cnf(i_0_301,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))) = relation_inverse_image(esk11_0,X2),
inference(scs_inference,[],[i_0_234,i_0_160,i_0_119,i_0_98,i_0_106,i_0_132]) ).
cnf(i_0_302,plain,
~ in(X1,relation_dom(empty_set)),
inference(scs_inference,[],[i_0_234,i_0_160,i_0_119,i_0_254,i_0_126,i_0_98,i_0_106,i_0_132,i_0_148]) ).
cnf(i_0_303,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_304,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_305,plain,
~ subset(unordered_pair(X1,X2),relation_inverse_image(esk11_0,X3)),
inference(scs_inference,[],[i_0_234,i_0_158,i_0_160,i_0_263,i_0_119,i_0_254,i_0_126,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96]) ).
cnf(i_0_306,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_307,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_308,plain,
in(esk8_1(singleton(X1)),singleton(X1)),
inference(scs_inference,[],[i_0_234,i_0_158,i_0_160,i_0_263,i_0_119,i_0_254,i_0_115,i_0_126,i_0_111,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103]) ).
cnf(i_0_309,plain,
element(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_310,plain,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_311,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(scs_inference,[],[i_0_234,i_0_158,i_0_160,i_0_263,i_0_119,i_0_254,i_0_303,i_0_115,i_0_126,i_0_111,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147]) ).
cnf(i_0_312,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_313,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,relation_inverse_image(X2,X3),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_314,plain,
~ in(X1,esk8_1(powerset(esk13_1(X2)))),
inference(scs_inference,[],[i_0_234,i_0_158,i_0_160,i_0_263,i_0_119,i_0_254,i_0_303,i_0_115,i_0_126,i_0_111,i_0_309,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95]) ).
cnf(i_0_315,plain,
element(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_316,plain,
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_317,plain,
~ in(X1,relation_inverse_image(esk13_1(X2),relation_inverse_image(esk11_0,X3))),
inference(scs_inference,[],[i_0_234,i_0_158,i_0_306,i_0_160,i_0_263,i_0_119,i_0_254,i_0_303,i_0_115,i_0_196,i_0_126,i_0_111,i_0_309,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149]) ).
cnf(i_0_318,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_319,plain,
( ~ relation(X1)
| in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_320,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_dom(esk13_1(esk11_0))),
inference(scs_inference,[],[i_0_234,i_0_158,i_0_306,i_0_160,i_0_285,i_0_223,i_0_263,i_0_119,i_0_254,i_0_303,i_0_115,i_0_196,i_0_126,i_0_111,i_0_309,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133]) ).
cnf(i_0_321,plain,
relation_inverse_image(esk13_1(esk11_0),X1) = relation_inverse_image(esk16_0,relation_dom(esk13_1(esk11_0))),
inference(rename_variables,[],[i_0_285]) ).
cnf(i_0_322,plain,
~ subset(unordered_pair(X1,X2),relation_inverse_image(esk13_1(esk11_0),X3)),
inference(scs_inference,[],[i_0_234,i_0_158,i_0_306,i_0_160,i_0_285,i_0_223,i_0_263,i_0_240,i_0_119,i_0_254,i_0_303,i_0_115,i_0_196,i_0_126,i_0_111,i_0_309,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_144]) ).
cnf(i_0_323,plain,
relation_inverse_image(esk13_1(esk11_0),X1) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_234,i_0_158,i_0_306,i_0_160,i_0_251,i_0_285,i_0_223,i_0_263,i_0_240,i_0_119,i_0_254,i_0_303,i_0_115,i_0_196,i_0_126,i_0_111,i_0_309,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_144,i_0_143]) ).
cnf(i_0_324,plain,
subset(relation_inverse_image(esk13_1(esk11_0),X1),X2),
inference(rename_variables,[],[i_0_251]) ).
cnf(i_0_325,plain,
esk13_1(X1) != singleton(X2),
inference(scs_inference,[],[i_0_97,i_0_234,i_0_158,i_0_306,i_0_160,i_0_251,i_0_285,i_0_223,i_0_263,i_0_240,i_0_119,i_0_254,i_0_303,i_0_115,i_0_196,i_0_126,i_0_111,i_0_309,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_144,i_0_143,i_0_142]) ).
cnf(i_0_326,plain,
powerset(X1) != relation_inverse_image(esk16_0,relation_inverse_image(esk13_1(esk11_0),X2)),
inference(scs_inference,[],[i_0_97,i_0_234,i_0_158,i_0_306,i_0_160,i_0_251,i_0_272,i_0_285,i_0_223,i_0_169,i_0_263,i_0_240,i_0_119,i_0_254,i_0_303,i_0_115,i_0_196,i_0_126,i_0_111,i_0_309,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_144,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_327,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk13_1(esk11_0),X2))),
inference(rename_variables,[],[i_0_272]) ).
cnf(i_0_328,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2)))),
inference(scs_inference,[],[i_0_97,i_0_234,i_0_158,i_0_306,i_0_318,i_0_160,i_0_251,i_0_272,i_0_285,i_0_223,i_0_169,i_0_263,i_0_240,i_0_119,i_0_254,i_0_303,i_0_115,i_0_196,i_0_126,i_0_111,i_0_309,i_0_156,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_144,i_0_143,i_0_142,i_0_140,i_0_87]) ).
cnf(i_0_329,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_330,plain,
( X1 != relation_inverse_image(X2,X3)
| in(esk1_4(X2,X3,X1,X4),X3)
| ~ in(X4,X1)
| ~ relation(X2) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_331,plain,
relation_inverse_image(esk11_0,X1) = relation_dom(esk11_0),
inference(scs_inference,[],[i_0_97,i_0_234,i_0_158,i_0_306,i_0_318,i_0_329,i_0_160,i_0_251,i_0_272,i_0_285,i_0_223,i_0_169,i_0_263,i_0_240,i_0_154,i_0_119,i_0_254,i_0_303,i_0_115,i_0_196,i_0_126,i_0_111,i_0_309,i_0_156,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_144,i_0_143,i_0_142,i_0_140,i_0_87,i_0_88]) ).
cnf(i_0_332,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_333,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_334,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_335,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk11_0,X2),
inference(scs_inference,[],[i_0_97,i_0_234,i_0_158,i_0_306,i_0_318,i_0_329,i_0_333,i_0_160,i_0_251,i_0_272,i_0_285,i_0_223,i_0_169,i_0_263,i_0_240,i_0_154,i_0_332,i_0_119,i_0_254,i_0_303,i_0_115,i_0_196,i_0_126,i_0_111,i_0_309,i_0_156,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_144,i_0_143,i_0_142,i_0_140,i_0_87,i_0_88,i_0_84]) ).
cnf(i_0_336,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_337,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_338,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_339,plain,
powerset(X1) != relation_dom(empty_set),
inference(scs_inference,[],[i_0_97,i_0_234,i_0_158,i_0_306,i_0_318,i_0_329,i_0_333,i_0_160,i_0_251,i_0_272,i_0_285,i_0_223,i_0_169,i_0_263,i_0_240,i_0_154,i_0_332,i_0_119,i_0_254,i_0_303,i_0_312,i_0_115,i_0_196,i_0_126,i_0_111,i_0_309,i_0_156,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_144,i_0_143,i_0_142,i_0_140,i_0_87,i_0_88,i_0_84,i_0_85]) ).
cnf(i_0_340,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_341,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_342,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)) = relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_234,i_0_158,i_0_306,i_0_318,i_0_329,i_0_333,i_0_337,i_0_160,i_0_297,i_0_251,i_0_272,i_0_285,i_0_223,i_0_169,i_0_263,i_0_240,i_0_154,i_0_332,i_0_119,i_0_254,i_0_303,i_0_312,i_0_115,i_0_196,i_0_126,i_0_111,i_0_309,i_0_156,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_144,i_0_143,i_0_142,i_0_140,i_0_87,i_0_88,i_0_84,i_0_85,i_0_89]) ).
cnf(i_0_343,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_344,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_345,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_346,plain,
esk13_1(esk11_0) != esk16_0,
inference(scs_inference,[],[i_0_97,i_0_123,i_0_234,i_0_158,i_0_306,i_0_318,i_0_329,i_0_333,i_0_337,i_0_160,i_0_297,i_0_251,i_0_272,i_0_285,i_0_223,i_0_169,i_0_263,i_0_240,i_0_154,i_0_332,i_0_119,i_0_254,i_0_303,i_0_312,i_0_115,i_0_196,i_0_126,i_0_111,i_0_309,i_0_156,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_144,i_0_143,i_0_142,i_0_140,i_0_87,i_0_88,i_0_84,i_0_85,i_0_89,i_0_136]) ).
cnf(i_0_347,plain,
~ in(singleton(X1),esk8_1(singleton(X1))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_234,i_0_158,i_0_306,i_0_318,i_0_329,i_0_333,i_0_337,i_0_160,i_0_297,i_0_251,i_0_272,i_0_285,i_0_223,i_0_169,i_0_263,i_0_240,i_0_154,i_0_332,i_0_119,i_0_254,i_0_303,i_0_312,i_0_115,i_0_196,i_0_126,i_0_111,i_0_309,i_0_156,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_144,i_0_143,i_0_142,i_0_140,i_0_87,i_0_88,i_0_84,i_0_85,i_0_89,i_0_136,i_0_101]) ).
cnf(i_0_348,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_349,plain,
( relation(X1)
| empty_set != X1 ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_234,i_0_158,i_0_306,i_0_318,i_0_329,i_0_333,i_0_337,i_0_160,i_0_297,i_0_251,i_0_272,i_0_285,i_0_223,i_0_169,i_0_263,i_0_240,i_0_154,i_0_332,i_0_119,i_0_254,i_0_303,i_0_312,i_0_115,i_0_196,i_0_126,i_0_111,i_0_309,i_0_156,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_144,i_0_143,i_0_142,i_0_140,i_0_87,i_0_88,i_0_84,i_0_85,i_0_89,i_0_136,i_0_101,i_0_141]) ).
cnf(i_0_350,plain,
( empty_set != relation_inverse_image(esk11_0,X1)
| powerset(X2) != relation_inverse_image(relation_inverse_image(esk11_0,X1),X3) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_234,i_0_158,i_0_306,i_0_318,i_0_329,i_0_333,i_0_337,i_0_344,i_0_160,i_0_297,i_0_251,i_0_272,i_0_285,i_0_223,i_0_169,i_0_263,i_0_240,i_0_154,i_0_332,i_0_119,i_0_254,i_0_303,i_0_312,i_0_115,i_0_196,i_0_126,i_0_111,i_0_309,i_0_156,i_0_98,i_0_106,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_95,i_0_149,i_0_133,i_0_144,i_0_143,i_0_142,i_0_140,i_0_87,i_0_88,i_0_84,i_0_85,i_0_89,i_0_136,i_0_101,i_0_141,i_0_82]) ).
cnf(i_0_351,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_352,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_354,plain,
relation(empty_set),
inference(equality_inference,[],[349]) ).
cnf(i_0_355,plain,
subset(relation_inverse_image(esk9_0,X1),X2),
inference(scs_inference,[],[i_0_266,i_0_98]) ).
cnf(i_0_356,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_357,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_358,plain,
relation_dom(esk11_0) = relation_inverse_image(esk11_0,X1),
inference(scs_inference,[],[i_0_266,i_0_331,i_0_98,i_0_132]) ).
cnf(i_0_359,plain,
~ in(X1,relation_dom(esk9_0)),
inference(scs_inference,[],[i_0_266,i_0_331,i_0_194,i_0_125,i_0_98,i_0_132,i_0_148]) ).
cnf(i_0_360,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_361,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_362,plain,
~ subset(powerset(X1),relation_inverse_image(esk9_0,X2)),
inference(scs_inference,[],[i_0_266,i_0_356,i_0_331,i_0_169,i_0_194,i_0_125,i_0_98,i_0_132,i_0_148,i_0_96]) ).
cnf(i_0_363,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_364,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_365,plain,
in(esk8_1(esk14_0),esk14_0),
inference(scs_inference,[],[i_0_266,i_0_356,i_0_331,i_0_169,i_0_194,i_0_121,i_0_125,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103]) ).
cnf(i_0_366,plain,
element(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_367,plain,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_368,plain,
~ in(X1,relation_inverse_image(esk13_1(X2),X3)),
inference(scs_inference,[],[i_0_266,i_0_356,i_0_331,i_0_169,i_0_194,i_0_196,i_0_299,i_0_121,i_0_125,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147]) ).
cnf(i_0_369,plain,
~ in(X1,esk13_1(X2)),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_370,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,relation_inverse_image(X2,X3),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_371,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X2))),
inference(scs_inference,[],[i_0_123,i_0_266,i_0_356,i_0_363,i_0_331,i_0_169,i_0_194,i_0_196,i_0_299,i_0_121,i_0_125,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_149]) ).
cnf(i_0_372,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_373,plain,
( ~ relation(X1)
| in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_374,plain,
powerset(X1) != relation_inverse_image(esk13_1(esk11_0),X2),
inference(scs_inference,[],[i_0_123,i_0_266,i_0_356,i_0_363,i_0_218,i_0_331,i_0_169,i_0_240,i_0_194,i_0_196,i_0_299,i_0_121,i_0_125,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_149,i_0_133]) ).
cnf(i_0_375,plain,
relation_inverse_image(esk13_1(esk11_0),X1) = relation_inverse_image(esk11_0,X2),
inference(rename_variables,[],[i_0_240]) ).
cnf(i_0_376,plain,
relation_inverse_image(esk11_0,X1) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_356,i_0_363,i_0_188,i_0_218,i_0_331,i_0_169,i_0_240,i_0_194,i_0_196,i_0_299,i_0_121,i_0_125,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_149,i_0_133,i_0_143]) ).
cnf(i_0_377,plain,
subset(relation_inverse_image(esk11_0,X1),X2),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_378,plain,
esk9_0 != esk14_0,
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_356,i_0_363,i_0_188,i_0_218,i_0_331,i_0_169,i_0_240,i_0_128,i_0_194,i_0_196,i_0_299,i_0_121,i_0_125,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_149,i_0_133,i_0_143,i_0_142]) ).
cnf(i_0_379,plain,
powerset(X1) != esk8_1(powerset(esk9_0)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_356,i_0_363,i_0_188,i_0_218,i_0_331,i_0_169,i_0_210,i_0_240,i_0_128,i_0_194,i_0_196,i_0_299,i_0_121,i_0_125,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_380,plain,
~ in(X1,esk8_1(powerset(esk9_0))),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_381,plain,
relation_inverse_image(esk9_0,X1) = relation_dom(esk11_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_356,i_0_363,i_0_372,i_0_188,i_0_218,i_0_331,i_0_169,i_0_210,i_0_240,i_0_154,i_0_128,i_0_194,i_0_196,i_0_299,i_0_121,i_0_125,i_0_111,i_0_156,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88]) ).
cnf(i_0_382,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_383,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_384,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_385,plain,
relation_inverse_image(esk9_0,X1) = relation_inverse_image(esk11_0,X2),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_356,i_0_363,i_0_372,i_0_383,i_0_188,i_0_218,i_0_331,i_0_169,i_0_210,i_0_240,i_0_154,i_0_382,i_0_128,i_0_194,i_0_196,i_0_299,i_0_121,i_0_125,i_0_111,i_0_156,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84]) ).
cnf(i_0_386,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_387,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_388,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_389,plain,
powerset(X1) != relation_dom(esk9_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_356,i_0_363,i_0_372,i_0_383,i_0_188,i_0_218,i_0_331,i_0_169,i_0_210,i_0_240,i_0_154,i_0_382,i_0_128,i_0_194,i_0_360,i_0_196,i_0_299,i_0_121,i_0_125,i_0_111,i_0_156,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_85]) ).
cnf(i_0_390,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_391,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_392,plain,
relation_inverse_image(esk9_0,X1) = relation_inverse_image(esk16_0,relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_356,i_0_363,i_0_372,i_0_383,i_0_387,i_0_257,i_0_188,i_0_218,i_0_331,i_0_169,i_0_210,i_0_240,i_0_154,i_0_382,i_0_128,i_0_194,i_0_360,i_0_196,i_0_299,i_0_121,i_0_125,i_0_111,i_0_156,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_85,i_0_89]) ).
cnf(i_0_393,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_394,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_395,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_396,plain,
esk11_0 != esk16_0,
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_356,i_0_363,i_0_372,i_0_383,i_0_387,i_0_257,i_0_188,i_0_218,i_0_331,i_0_169,i_0_210,i_0_240,i_0_154,i_0_382,i_0_128,i_0_194,i_0_360,i_0_196,i_0_299,i_0_121,i_0_125,i_0_111,i_0_156,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_85,i_0_89,i_0_136]) ).
cnf(i_0_397,plain,
~ in(esk14_0,esk8_1(esk14_0)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_356,i_0_363,i_0_372,i_0_383,i_0_387,i_0_257,i_0_188,i_0_218,i_0_331,i_0_169,i_0_210,i_0_240,i_0_154,i_0_382,i_0_128,i_0_194,i_0_360,i_0_196,i_0_299,i_0_121,i_0_125,i_0_111,i_0_156,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_85,i_0_89,i_0_136,i_0_101]) ).
cnf(i_0_398,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_399,plain,
( relation(X1)
| esk9_0 != X1 ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_356,i_0_363,i_0_372,i_0_383,i_0_387,i_0_257,i_0_188,i_0_218,i_0_331,i_0_169,i_0_210,i_0_240,i_0_154,i_0_382,i_0_128,i_0_194,i_0_360,i_0_196,i_0_299,i_0_121,i_0_125,i_0_111,i_0_156,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_85,i_0_89,i_0_136,i_0_101,i_0_141]) ).
cnf(i_0_400,plain,
( esk9_0 != relation_inverse_image(esk9_0,X1)
| powerset(X2) != relation_inverse_image(relation_inverse_image(esk9_0,X1),X3) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_356,i_0_363,i_0_372,i_0_383,i_0_387,i_0_393,i_0_257,i_0_188,i_0_218,i_0_331,i_0_169,i_0_210,i_0_240,i_0_154,i_0_382,i_0_128,i_0_194,i_0_360,i_0_196,i_0_299,i_0_121,i_0_125,i_0_111,i_0_156,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_147,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_85,i_0_89,i_0_136,i_0_101,i_0_141,i_0_82]) ).
cnf(i_0_401,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_402,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_403,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_404,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_405,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_406,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_408,plain,
relation(esk9_0),
inference(equality_inference,[],[399]) ).
cnf(i_0_409,plain,
subset(relation_dom(esk13_1(esk11_0)),X1),
inference(scs_inference,[],[i_0_198,i_0_98]) ).
cnf(i_0_410,plain,
~ in(X1,relation_dom(esk13_1(esk11_0))),
inference(rename_variables,[],[i_0_198]) ).
cnf(i_0_411,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_412,plain,
relation_inverse_image(esk16_0,relation_dom(esk13_1(esk11_0))) = relation_inverse_image(esk13_1(esk11_0),X1),
inference(scs_inference,[],[i_0_198,i_0_285,i_0_98,i_0_132]) ).
cnf(i_0_413,plain,
~ in(X1,relation_dom(esk13_1(X2))),
inference(scs_inference,[],[i_0_198,i_0_285,i_0_196,i_0_299,i_0_98,i_0_132,i_0_148]) ).
cnf(i_0_414,plain,
~ in(X1,esk13_1(X2)),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_415,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_416,plain,
~ subset(powerset(X1),relation_dom(esk13_1(esk11_0))),
inference(scs_inference,[],[i_0_198,i_0_410,i_0_285,i_0_169,i_0_196,i_0_299,i_0_98,i_0_132,i_0_148,i_0_96]) ).
cnf(i_0_417,plain,
~ in(X1,relation_dom(esk13_1(esk11_0))),
inference(rename_variables,[],[i_0_198]) ).
cnf(i_0_418,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_419,plain,
in(esk8_1(powerset(X1)),powerset(X1)),
inference(scs_inference,[],[i_0_198,i_0_410,i_0_285,i_0_169,i_0_196,i_0_299,i_0_114,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103]) ).
cnf(i_0_420,plain,
element(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_421,plain,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_422,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_dom(esk13_1(esk11_0)))),
inference(scs_inference,[],[i_0_123,i_0_198,i_0_410,i_0_417,i_0_285,i_0_169,i_0_196,i_0_299,i_0_114,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_149]) ).
cnf(i_0_423,plain,
~ in(X1,relation_dom(esk13_1(esk11_0))),
inference(rename_variables,[],[i_0_198]) ).
cnf(i_0_424,plain,
( ~ relation(X1)
| in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_425,plain,
powerset(X1) != relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(scs_inference,[],[i_0_123,i_0_198,i_0_410,i_0_417,i_0_285,i_0_218,i_0_169,i_0_196,i_0_301,i_0_299,i_0_114,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_149,i_0_133]) ).
cnf(i_0_426,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))) = relation_inverse_image(esk11_0,X2),
inference(rename_variables,[],[i_0_301]) ).
cnf(i_0_427,plain,
relation_inverse_image(esk9_0,X1) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_198,i_0_410,i_0_417,i_0_285,i_0_355,i_0_218,i_0_169,i_0_196,i_0_301,i_0_299,i_0_114,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_149,i_0_133,i_0_143]) ).
cnf(i_0_428,plain,
subset(relation_inverse_image(esk9_0,X1),X2),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_429,plain,
empty_set != powerset(X1),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_198,i_0_410,i_0_417,i_0_285,i_0_355,i_0_218,i_0_169,i_0_130,i_0_196,i_0_301,i_0_299,i_0_114,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_149,i_0_133,i_0_143,i_0_142]) ).
cnf(i_0_430,plain,
powerset(X1) != relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X2)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_198,i_0_410,i_0_417,i_0_285,i_0_355,i_0_371,i_0_218,i_0_169,i_0_130,i_0_196,i_0_301,i_0_299,i_0_114,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_431,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X2))),
inference(rename_variables,[],[i_0_371]) ).
cnf(i_0_432,plain,
relation_dom(esk13_1(esk11_0)) = relation_inverse_image(esk16_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_198,i_0_410,i_0_417,i_0_423,i_0_207,i_0_285,i_0_355,i_0_371,i_0_218,i_0_169,i_0_130,i_0_196,i_0_301,i_0_299,i_0_114,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89]) ).
cnf(i_0_433,plain,
~ in(X1,relation_dom(esk13_1(esk11_0))),
inference(rename_variables,[],[i_0_198]) ).
cnf(i_0_434,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_435,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_436,plain,
~ in(powerset(X1),esk8_1(powerset(X1))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_198,i_0_410,i_0_417,i_0_423,i_0_207,i_0_285,i_0_355,i_0_371,i_0_218,i_0_169,i_0_130,i_0_196,i_0_301,i_0_299,i_0_114,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89,i_0_101]) ).
cnf(i_0_437,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_438,plain,
esk9_0 != esk16_0,
inference(scs_inference,[],[i_0_97,i_0_123,i_0_198,i_0_410,i_0_417,i_0_423,i_0_207,i_0_285,i_0_355,i_0_371,i_0_218,i_0_169,i_0_130,i_0_196,i_0_301,i_0_299,i_0_114,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89,i_0_101,i_0_136]) ).
cnf(i_0_439,plain,
( ~ relation(relation_inverse_image(esk9_0,X1))
| ~ in(X2,relation_inverse_image(relation_inverse_image(esk9_0,X1),X3)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_198,i_0_410,i_0_417,i_0_423,i_0_207,i_0_266,i_0_285,i_0_355,i_0_371,i_0_218,i_0_169,i_0_130,i_0_196,i_0_301,i_0_299,i_0_114,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89,i_0_101,i_0_136,i_0_147]) ).
cnf(i_0_440,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_441,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,relation_inverse_image(X2,X3),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_442,plain,
( esk16_0 != relation_inverse_image(esk9_0,X1)
| ~ in(X2,relation_inverse_image(relation_inverse_image(esk9_0,X1),X3)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_198,i_0_410,i_0_417,i_0_423,i_0_207,i_0_266,i_0_285,i_0_355,i_0_371,i_0_218,i_0_169,i_0_130,i_0_196,i_0_301,i_0_299,i_0_114,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89,i_0_101,i_0_136,i_0_147,i_0_141]) ).
cnf(i_0_443,plain,
( esk13_1(X1) != relation_inverse_image(esk9_0,X2)
| ~ in(X3,relation_inverse_image(relation_inverse_image(esk9_0,X2),X4)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_198,i_0_410,i_0_417,i_0_423,i_0_207,i_0_266,i_0_285,i_0_355,i_0_371,i_0_218,i_0_169,i_0_130,i_0_196,i_0_301,i_0_299,i_0_114,i_0_111,i_0_98,i_0_132,i_0_148,i_0_96,i_0_103,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89,i_0_101,i_0_136,i_0_147,i_0_141,i_0_293]) ).
cnf(i_0_444,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_445,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_446,plain,
~ in(X1,relation_dom(esk13_1(esk11_0))),
inference(rename_variables,[],[i_0_198]) ).
cnf(i_0_447,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_448,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_449,plain,
~ in(X1,relation_dom(esk13_1(esk11_0))),
inference(rename_variables,[],[i_0_198]) ).
cnf(i_0_450,plain,
~ in(X1,relation_dom(esk13_1(esk11_0))),
inference(rename_variables,[],[i_0_198]) ).
cnf(i_0_452,plain,
subset(relation_dom(esk11_0),X1),
inference(scs_inference,[],[i_0_257,i_0_98]) ).
cnf(i_0_453,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_454,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_455,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk9_0,X2),
inference(scs_inference,[],[i_0_257,i_0_385,i_0_98,i_0_132]) ).
cnf(i_0_456,plain,
~ subset(powerset(X1),relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_257,i_0_453,i_0_385,i_0_169,i_0_98,i_0_132,i_0_96]) ).
cnf(i_0_457,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_458,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_459,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_dom(esk11_0))),
inference(scs_inference,[],[i_0_123,i_0_257,i_0_453,i_0_457,i_0_385,i_0_169,i_0_98,i_0_132,i_0_96,i_0_149]) ).
cnf(i_0_460,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_461,plain,
( ~ relation(X1)
| in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_462,plain,
~ in(X1,esk8_1(powerset(esk11_0))),
inference(scs_inference,[],[i_0_123,i_0_257,i_0_453,i_0_457,i_0_385,i_0_169,i_0_127,i_0_111,i_0_98,i_0_132,i_0_96,i_0_149,i_0_95]) ).
cnf(i_0_463,plain,
element(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_464,plain,
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_465,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_123,i_0_257,i_0_453,i_0_457,i_0_385,i_0_392,i_0_169,i_0_127,i_0_111,i_0_98,i_0_132,i_0_96,i_0_149,i_0_95,i_0_133]) ).
cnf(i_0_466,plain,
relation_inverse_image(esk9_0,X1) = relation_inverse_image(esk16_0,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_392]) ).
cnf(i_0_467,plain,
relation_dom(esk13_1(esk11_0)) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_453,i_0_457,i_0_385,i_0_392,i_0_409,i_0_169,i_0_127,i_0_111,i_0_98,i_0_132,i_0_96,i_0_149,i_0_95,i_0_133,i_0_143]) ).
cnf(i_0_468,plain,
subset(relation_dom(esk13_1(esk11_0)),X1),
inference(rename_variables,[],[i_0_409]) ).
cnf(i_0_469,plain,
esk11_0 != esk12_0,
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_453,i_0_457,i_0_385,i_0_392,i_0_409,i_0_169,i_0_127,i_0_122,i_0_111,i_0_98,i_0_132,i_0_96,i_0_149,i_0_95,i_0_133,i_0_143,i_0_142]) ).
cnf(i_0_470,plain,
powerset(X1) != esk8_1(powerset(empty_set)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_453,i_0_457,i_0_385,i_0_392,i_0_409,i_0_169,i_0_269,i_0_127,i_0_122,i_0_111,i_0_98,i_0_132,i_0_96,i_0_149,i_0_95,i_0_133,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_471,plain,
~ in(X1,esk8_1(powerset(empty_set))),
inference(rename_variables,[],[i_0_269]) ).
cnf(i_0_472,plain,
relation_dom(esk11_0) = relation_dom(empty_set),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_453,i_0_457,i_0_460,i_0_385,i_0_392,i_0_409,i_0_169,i_0_269,i_0_127,i_0_254,i_0_122,i_0_111,i_0_126,i_0_98,i_0_132,i_0_96,i_0_149,i_0_95,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88]) ).
cnf(i_0_473,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_474,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_475,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_476,plain,
relation_dom(esk11_0) = relation_inverse_image(empty_set,X1),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_453,i_0_457,i_0_460,i_0_474,i_0_385,i_0_392,i_0_409,i_0_169,i_0_269,i_0_127,i_0_254,i_0_473,i_0_122,i_0_111,i_0_126,i_0_98,i_0_132,i_0_96,i_0_149,i_0_95,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84]) ).
cnf(i_0_477,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_478,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_479,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_480,plain,
relation_dom(esk11_0) = relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_453,i_0_457,i_0_460,i_0_474,i_0_478,i_0_158,i_0_385,i_0_392,i_0_409,i_0_169,i_0_269,i_0_127,i_0_254,i_0_473,i_0_122,i_0_111,i_0_126,i_0_98,i_0_132,i_0_96,i_0_149,i_0_95,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89]) ).
cnf(i_0_481,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_482,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_483,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_484,plain,
( ~ relation(relation_dom(esk11_0))
| ~ in(X1,relation_dom(relation_dom(esk11_0))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_453,i_0_457,i_0_460,i_0_474,i_0_478,i_0_481,i_0_158,i_0_385,i_0_392,i_0_409,i_0_169,i_0_269,i_0_127,i_0_254,i_0_473,i_0_122,i_0_111,i_0_126,i_0_98,i_0_132,i_0_96,i_0_149,i_0_95,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_148]) ).
cnf(i_0_485,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_486,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_487,plain,
( esk16_0 != relation_dom(esk11_0)
| ~ in(X1,relation_dom(relation_dom(esk11_0))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_453,i_0_457,i_0_460,i_0_474,i_0_478,i_0_481,i_0_158,i_0_385,i_0_392,i_0_409,i_0_169,i_0_269,i_0_127,i_0_254,i_0_473,i_0_122,i_0_111,i_0_126,i_0_98,i_0_132,i_0_96,i_0_149,i_0_95,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_148,i_0_141]) ).
cnf(i_0_488,plain,
( relation(relation_dom(X1))
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_489,plain,
( esk13_1(X1) != relation_dom(esk11_0)
| ~ in(X2,relation_dom(relation_dom(esk11_0))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_453,i_0_457,i_0_460,i_0_474,i_0_478,i_0_481,i_0_158,i_0_385,i_0_392,i_0_409,i_0_169,i_0_269,i_0_127,i_0_254,i_0_473,i_0_122,i_0_111,i_0_126,i_0_98,i_0_132,i_0_96,i_0_149,i_0_95,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_148,i_0_141,i_0_112,i_0_293]) ).
cnf(i_0_490,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_491,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_492,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_493,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_494,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_495,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_496,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_497,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_498,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_499,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_501,plain,
subset(relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1)),X2),
inference(scs_inference,[],[i_0_207,i_0_98]) ).
cnf(i_0_502,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_503,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_504,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))) = relation_dom(esk13_1(esk11_0)),
inference(scs_inference,[],[i_0_207,i_0_432,i_0_98,i_0_132]) ).
cnf(i_0_505,plain,
~ subset(powerset(X1),relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(scs_inference,[],[i_0_207,i_0_502,i_0_432,i_0_169,i_0_98,i_0_132,i_0_96]) ).
cnf(i_0_506,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_507,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_508,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2)))),
inference(scs_inference,[],[i_0_123,i_0_207,i_0_502,i_0_506,i_0_432,i_0_169,i_0_98,i_0_132,i_0_96,i_0_149]) ).
cnf(i_0_509,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_510,plain,
( ~ relation(X1)
| in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_511,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(scs_inference,[],[i_0_123,i_0_207,i_0_502,i_0_506,i_0_432,i_0_230,i_0_169,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133]) ).
cnf(i_0_512,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_207,i_0_502,i_0_506,i_0_432,i_0_296,i_0_230,i_0_169,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143]) ).
cnf(i_0_513,plain,
subset(relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)),X2),
inference(rename_variables,[],[i_0_296]) ).
cnf(i_0_514,plain,
esk13_1(X1) != unordered_pair(X2,X3),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_207,i_0_502,i_0_506,i_0_432,i_0_296,i_0_230,i_0_169,i_0_119,i_0_99,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143,i_0_142]) ).
cnf(i_0_515,plain,
powerset(X1) != esk8_1(powerset(esk13_1(X2))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_207,i_0_502,i_0_506,i_0_432,i_0_296,i_0_230,i_0_169,i_0_314,i_0_119,i_0_99,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_516,plain,
~ in(X1,esk8_1(powerset(esk13_1(X2)))),
inference(rename_variables,[],[i_0_314]) ).
cnf(i_0_517,plain,
relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1)) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_207,i_0_502,i_0_506,i_0_509,i_0_160,i_0_432,i_0_296,i_0_230,i_0_169,i_0_314,i_0_119,i_0_99,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89]) ).
cnf(i_0_518,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_519,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_520,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_521,plain,
relation_inverse_image(esk11_0,X1) != esk15_0,
inference(scs_inference,[],[i_0_97,i_0_123,i_0_207,i_0_502,i_0_506,i_0_509,i_0_160,i_0_432,i_0_296,i_0_230,i_0_169,i_0_314,i_0_119,i_0_99,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89,i_0_137]) ).
cnf(i_0_522,plain,
( ~ relation(relation_inverse_image(empty_set,X1))
| ~ in(X2,relation_dom(relation_inverse_image(empty_set,X1))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_207,i_0_502,i_0_506,i_0_509,i_0_160,i_0_311,i_0_432,i_0_296,i_0_230,i_0_169,i_0_314,i_0_119,i_0_99,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89,i_0_137,i_0_148]) ).
cnf(i_0_523,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_524,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_525,plain,
( esk16_0 != relation_inverse_image(empty_set,X1)
| ~ in(X2,relation_dom(relation_inverse_image(empty_set,X1))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_207,i_0_502,i_0_506,i_0_509,i_0_160,i_0_311,i_0_432,i_0_296,i_0_230,i_0_169,i_0_314,i_0_119,i_0_99,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89,i_0_137,i_0_148,i_0_141]) ).
cnf(i_0_526,plain,
( esk13_1(X1) != relation_inverse_image(empty_set,X2)
| ~ in(X3,relation_dom(relation_inverse_image(empty_set,X2))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_207,i_0_502,i_0_506,i_0_509,i_0_160,i_0_311,i_0_432,i_0_296,i_0_230,i_0_169,i_0_314,i_0_119,i_0_99,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89,i_0_137,i_0_148,i_0_141,i_0_293]) ).
cnf(i_0_527,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_528,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_529,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_530,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_531,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_533,plain,
subset(relation_dom(empty_set),X1),
inference(scs_inference,[],[i_0_302,i_0_98]) ).
cnf(i_0_534,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_535,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_536,plain,
relation_inverse_image(esk16_0,relation_dom(esk11_0)) = relation_inverse_image(esk9_0,X1),
inference(scs_inference,[],[i_0_302,i_0_392,i_0_98,i_0_132]) ).
cnf(i_0_537,plain,
~ subset(powerset(X1),relation_dom(empty_set)),
inference(scs_inference,[],[i_0_302,i_0_534,i_0_392,i_0_169,i_0_98,i_0_132,i_0_96]) ).
cnf(i_0_538,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_539,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_540,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_dom(empty_set))),
inference(scs_inference,[],[i_0_123,i_0_302,i_0_534,i_0_538,i_0_392,i_0_169,i_0_98,i_0_132,i_0_96,i_0_149]) ).
cnf(i_0_541,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_542,plain,
( ~ relation(X1)
| in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_543,plain,
powerset(X1) != relation_inverse_image(esk16_0,relation_dom(esk13_1(esk11_0))),
inference(scs_inference,[],[i_0_123,i_0_302,i_0_534,i_0_538,i_0_392,i_0_169,i_0_412,i_0_374,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133]) ).
cnf(i_0_544,plain,
relation_inverse_image(esk16_0,relation_dom(esk13_1(esk11_0))) = relation_inverse_image(esk13_1(esk11_0),X1),
inference(rename_variables,[],[i_0_412]) ).
cnf(i_0_545,plain,
relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1)) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_534,i_0_538,i_0_392,i_0_501,i_0_169,i_0_412,i_0_374,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143]) ).
cnf(i_0_546,plain,
subset(relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1)),X2),
inference(rename_variables,[],[i_0_501]) ).
cnf(i_0_547,plain,
esk9_0 != singleton(X1),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_534,i_0_538,i_0_392,i_0_501,i_0_169,i_0_128,i_0_412,i_0_374,i_0_115,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143,i_0_142]) ).
cnf(i_0_548,plain,
powerset(X1) != esk8_1(powerset(esk11_0)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_534,i_0_538,i_0_392,i_0_501,i_0_169,i_0_462,i_0_128,i_0_412,i_0_374,i_0_115,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_549,plain,
~ in(X1,esk8_1(powerset(esk11_0))),
inference(rename_variables,[],[i_0_462]) ).
cnf(i_0_550,plain,
relation_dom(empty_set) = relation_dom(esk11_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_534,i_0_538,i_0_541,i_0_392,i_0_501,i_0_169,i_0_462,i_0_154,i_0_128,i_0_412,i_0_374,i_0_115,i_0_156,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88]) ).
cnf(i_0_551,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_552,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_553,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_554,plain,
relation_dom(empty_set) = relation_inverse_image(esk11_0,X1),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_534,i_0_538,i_0_541,i_0_552,i_0_392,i_0_501,i_0_169,i_0_462,i_0_154,i_0_551,i_0_128,i_0_412,i_0_374,i_0_115,i_0_156,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84]) ).
cnf(i_0_555,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_556,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_557,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_558,plain,
relation_dom(empty_set) = relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X1)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_534,i_0_538,i_0_541,i_0_552,i_0_556,i_0_266,i_0_392,i_0_501,i_0_169,i_0_462,i_0_154,i_0_551,i_0_128,i_0_412,i_0_374,i_0_115,i_0_156,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89]) ).
cnf(i_0_559,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_560,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_561,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_562,plain,
( ~ relation(relation_dom(empty_set))
| ~ in(X1,relation_dom(relation_dom(empty_set))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_534,i_0_538,i_0_541,i_0_552,i_0_556,i_0_559,i_0_266,i_0_392,i_0_501,i_0_169,i_0_462,i_0_154,i_0_551,i_0_128,i_0_412,i_0_374,i_0_115,i_0_156,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_148]) ).
cnf(i_0_563,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_564,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_565,plain,
( esk16_0 != relation_dom(empty_set)
| ~ in(X1,relation_dom(relation_dom(empty_set))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_534,i_0_538,i_0_541,i_0_552,i_0_556,i_0_559,i_0_266,i_0_392,i_0_501,i_0_169,i_0_462,i_0_154,i_0_551,i_0_128,i_0_412,i_0_374,i_0_115,i_0_156,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_148,i_0_141]) ).
cnf(i_0_566,plain,
( relation(relation_dom(X1))
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_567,plain,
( esk13_1(X1) != relation_dom(empty_set)
| ~ in(X2,relation_dom(relation_dom(empty_set))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_534,i_0_538,i_0_541,i_0_552,i_0_556,i_0_559,i_0_266,i_0_392,i_0_501,i_0_169,i_0_462,i_0_154,i_0_551,i_0_128,i_0_130,i_0_412,i_0_374,i_0_115,i_0_156,i_0_98,i_0_132,i_0_96,i_0_149,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_148,i_0_141,i_0_112,i_0_293]) ).
cnf(i_0_568,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_569,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_570,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_571,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_572,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_574,plain,
subset(relation_inverse_image(esk13_1(X1),X2),X3),
inference(scs_inference,[],[i_0_368,i_0_98]) ).
cnf(i_0_575,plain,
~ in(X1,relation_inverse_image(esk13_1(X2),X3)),
inference(rename_variables,[],[i_0_368]) ).
cnf(i_0_576,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_577,plain,
relation_inverse_image(empty_set,X1) = relation_dom(esk11_0),
inference(scs_inference,[],[i_0_368,i_0_476,i_0_98,i_0_132]) ).
cnf(i_0_578,plain,
~ subset(unordered_pair(X1,X2),relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_257,i_0_368,i_0_476,i_0_263,i_0_98,i_0_132,i_0_96]) ).
cnf(i_0_579,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_580,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_581,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_dom(esk11_0))),
inference(scs_inference,[],[i_0_257,i_0_579,i_0_368,i_0_476,i_0_263,i_0_124,i_0_98,i_0_132,i_0_96,i_0_149]) ).
cnf(i_0_582,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_583,plain,
( ~ relation(X1)
| in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_584,plain,
~ subset(unordered_pair(X1,X2),relation_inverse_image(esk9_0,X3)),
inference(scs_inference,[],[i_0_257,i_0_579,i_0_368,i_0_476,i_0_381,i_0_263,i_0_124,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144]) ).
cnf(i_0_585,plain,
powerset(X1) != relation_inverse_image(esk16_0,relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_257,i_0_579,i_0_368,i_0_476,i_0_238,i_0_381,i_0_263,i_0_124,i_0_536,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133]) ).
cnf(i_0_586,plain,
relation_inverse_image(esk16_0,relation_dom(esk11_0)) = relation_inverse_image(esk9_0,X1),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_587,plain,
esk13_1(esk11_0) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_257,i_0_579,i_0_368,i_0_476,i_0_238,i_0_174,i_0_381,i_0_263,i_0_124,i_0_536,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143]) ).
cnf(i_0_588,plain,
subset(esk13_1(esk11_0),X1),
inference(rename_variables,[],[i_0_174]) ).
cnf(i_0_589,plain,
esk13_1(X1) != esk14_0,
inference(scs_inference,[],[i_0_97,i_0_257,i_0_579,i_0_368,i_0_476,i_0_238,i_0_174,i_0_381,i_0_263,i_0_119,i_0_124,i_0_536,i_0_121,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142]) ).
cnf(i_0_590,plain,
powerset(X1) != relation_inverse_image(esk16_0,relation_dom(empty_set)),
inference(scs_inference,[],[i_0_97,i_0_257,i_0_579,i_0_368,i_0_476,i_0_238,i_0_540,i_0_174,i_0_381,i_0_169,i_0_263,i_0_119,i_0_124,i_0_536,i_0_121,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_591,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_dom(empty_set))),
inference(rename_variables,[],[i_0_540]) ).
cnf(i_0_592,plain,
relation_dom(esk11_0) = relation_dom(esk9_0),
inference(scs_inference,[],[i_0_97,i_0_257,i_0_579,i_0_582,i_0_368,i_0_476,i_0_238,i_0_540,i_0_174,i_0_381,i_0_169,i_0_263,i_0_194,i_0_119,i_0_124,i_0_536,i_0_121,i_0_125,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88]) ).
cnf(i_0_593,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_594,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_595,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_596,plain,
relation_dom(esk11_0) = relation_inverse_image(esk9_0,X1),
inference(scs_inference,[],[i_0_97,i_0_257,i_0_579,i_0_582,i_0_594,i_0_368,i_0_476,i_0_238,i_0_540,i_0_174,i_0_381,i_0_169,i_0_263,i_0_194,i_0_593,i_0_119,i_0_124,i_0_536,i_0_121,i_0_125,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84]) ).
cnf(i_0_597,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_598,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_599,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_600,plain,
in(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk11_0,X1)),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_579,i_0_582,i_0_594,i_0_158,i_0_368,i_0_376,i_0_476,i_0_238,i_0_540,i_0_174,i_0_381,i_0_169,i_0_263,i_0_194,i_0_593,i_0_119,i_0_124,i_0_536,i_0_121,i_0_125,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89]) ).
cnf(i_0_601,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_602,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_603,plain,
element(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk11_0,X1)),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_579,i_0_582,i_0_594,i_0_158,i_0_368,i_0_376,i_0_476,i_0_238,i_0_540,i_0_174,i_0_381,i_0_169,i_0_263,i_0_194,i_0_593,i_0_119,i_0_124,i_0_536,i_0_121,i_0_125,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104]) ).
cnf(i_0_604,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_605,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk11_0,X1))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_579,i_0_582,i_0_594,i_0_158,i_0_368,i_0_376,i_0_476,i_0_238,i_0_540,i_0_174,i_0_381,i_0_169,i_0_263,i_0_194,i_0_593,i_0_119,i_0_124,i_0_536,i_0_121,i_0_125,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104,i_0_101]) ).
cnf(i_0_606,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_607,plain,
( ~ relation(relation_inverse_image(esk11_0,X1))
| ~ in(X2,relation_dom(relation_inverse_image(esk11_0,X1))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_579,i_0_582,i_0_594,i_0_158,i_0_601,i_0_368,i_0_376,i_0_476,i_0_238,i_0_540,i_0_174,i_0_381,i_0_169,i_0_263,i_0_194,i_0_593,i_0_119,i_0_124,i_0_536,i_0_121,i_0_125,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104,i_0_101,i_0_148]) ).
cnf(i_0_608,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_609,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_610,plain,
( esk16_0 != relation_inverse_image(esk11_0,X1)
| ~ in(X2,relation_dom(relation_inverse_image(esk11_0,X1))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_579,i_0_582,i_0_594,i_0_158,i_0_601,i_0_368,i_0_376,i_0_476,i_0_238,i_0_540,i_0_174,i_0_381,i_0_169,i_0_263,i_0_194,i_0_593,i_0_119,i_0_124,i_0_536,i_0_121,i_0_125,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104,i_0_101,i_0_148,i_0_141]) ).
cnf(i_0_611,plain,
( esk13_1(X1) != relation_inverse_image(esk11_0,X2)
| ~ in(X3,relation_dom(relation_inverse_image(esk11_0,X2))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_579,i_0_582,i_0_594,i_0_158,i_0_601,i_0_368,i_0_376,i_0_476,i_0_238,i_0_540,i_0_174,i_0_381,i_0_169,i_0_263,i_0_194,i_0_593,i_0_119,i_0_124,i_0_536,i_0_121,i_0_125,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104,i_0_101,i_0_148,i_0_141,i_0_293]) ).
cnf(i_0_612,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_613,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_614,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_615,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_616,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_617,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_618,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_619,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_620,plain,
( ~ relation(relation_dom(esk11_0))
| ~ in(X1,relation_dom(relation_inverse_image(esk11_0,X2)))
| empty(esk15_0)
| powerset(X3) != relation_inverse_image(relation_dom(esk11_0),X4) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_234,i_0_257,i_0_579,i_0_582,i_0_594,i_0_598,i_0_614,i_0_615,i_0_618,i_0_158,i_0_601,i_0_160,i_0_368,i_0_376,i_0_476,i_0_238,i_0_540,i_0_174,i_0_381,i_0_169,i_0_263,i_0_109,i_0_194,i_0_593,i_0_119,i_0_124,i_0_536,i_0_121,i_0_125,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104,i_0_101,i_0_148,i_0_141,i_0_293,i_0_103,i_0_95,i_0_139,i_0_87,i_0_82]) ).
cnf(i_0_621,plain,
subset(relation_dom(esk9_0),X1),
inference(scs_inference,[],[i_0_359,i_0_98]) ).
cnf(i_0_622,plain,
~ in(X1,relation_dom(esk9_0)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_623,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_624,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)) = relation_dom(esk11_0),
inference(scs_inference,[],[i_0_359,i_0_480,i_0_98,i_0_132]) ).
cnf(i_0_625,plain,
~ subset(esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))),
inference(scs_inference,[],[i_0_207,i_0_359,i_0_480,i_0_600,i_0_98,i_0_132,i_0_96]) ).
cnf(i_0_626,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_627,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_628,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2)))),
inference(scs_inference,[],[i_0_207,i_0_626,i_0_359,i_0_480,i_0_600,i_0_124,i_0_98,i_0_132,i_0_96,i_0_149]) ).
cnf(i_0_629,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_630,plain,
( ~ relation(X1)
| in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_631,plain,
~ subset(unordered_pair(X1,X2),relation_dom(empty_set)),
inference(scs_inference,[],[i_0_207,i_0_626,i_0_359,i_0_480,i_0_550,i_0_600,i_0_578,i_0_124,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144]) ).
cnf(i_0_632,plain,
powerset(X1) != relation_inverse_image(esk16_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(scs_inference,[],[i_0_207,i_0_626,i_0_359,i_0_480,i_0_227,i_0_550,i_0_600,i_0_578,i_0_124,i_0_504,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133]) ).
cnf(i_0_633,plain,
relation_inverse_image(esk13_1(X1),X2) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_207,i_0_626,i_0_359,i_0_480,i_0_574,i_0_227,i_0_550,i_0_600,i_0_578,i_0_124,i_0_504,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143]) ).
cnf(i_0_634,plain,
subset(relation_inverse_image(esk13_1(X1),X2),X3),
inference(rename_variables,[],[i_0_574]) ).
cnf(i_0_635,plain,
esk9_0 != powerset(X1),
inference(scs_inference,[],[i_0_97,i_0_207,i_0_626,i_0_359,i_0_480,i_0_574,i_0_227,i_0_550,i_0_600,i_0_578,i_0_128,i_0_124,i_0_504,i_0_114,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142]) ).
cnf(i_0_636,plain,
esk15_0 != relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1)),
inference(scs_inference,[],[i_0_97,i_0_207,i_0_626,i_0_629,i_0_359,i_0_480,i_0_574,i_0_227,i_0_550,i_0_600,i_0_578,i_0_128,i_0_124,i_0_504,i_0_114,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_637,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_638,plain,
in(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_207,i_0_626,i_0_629,i_0_637,i_0_359,i_0_480,i_0_574,i_0_227,i_0_545,i_0_550,i_0_600,i_0_578,i_0_128,i_0_124,i_0_504,i_0_114,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89]) ).
cnf(i_0_639,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_640,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_641,plain,
element(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_207,i_0_626,i_0_629,i_0_637,i_0_359,i_0_480,i_0_574,i_0_227,i_0_545,i_0_550,i_0_600,i_0_578,i_0_128,i_0_124,i_0_504,i_0_114,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89,i_0_104]) ).
cnf(i_0_642,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_643,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1)))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_207,i_0_626,i_0_629,i_0_637,i_0_359,i_0_480,i_0_574,i_0_227,i_0_545,i_0_550,i_0_600,i_0_578,i_0_128,i_0_124,i_0_504,i_0_114,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89,i_0_104,i_0_101]) ).
cnf(i_0_644,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_645,plain,
esk13_1(X1) != esk16_0,
inference(scs_inference,[],[i_0_97,i_0_123,i_0_207,i_0_626,i_0_629,i_0_637,i_0_359,i_0_480,i_0_574,i_0_227,i_0_545,i_0_550,i_0_600,i_0_578,i_0_128,i_0_124,i_0_504,i_0_114,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89,i_0_104,i_0_101,i_0_136]) ).
cnf(i_0_646,plain,
( ~ relation(relation_dom(esk9_0))
| ~ in(X1,relation_dom(relation_dom(esk9_0))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_207,i_0_626,i_0_629,i_0_637,i_0_359,i_0_622,i_0_480,i_0_574,i_0_227,i_0_545,i_0_550,i_0_600,i_0_578,i_0_128,i_0_124,i_0_504,i_0_114,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89,i_0_104,i_0_101,i_0_136,i_0_148]) ).
cnf(i_0_647,plain,
~ in(X1,relation_dom(esk9_0)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_648,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_649,plain,
( esk16_0 != relation_dom(esk9_0)
| ~ in(X1,relation_dom(relation_dom(esk9_0))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_207,i_0_626,i_0_629,i_0_637,i_0_359,i_0_622,i_0_480,i_0_574,i_0_227,i_0_545,i_0_550,i_0_600,i_0_578,i_0_128,i_0_124,i_0_504,i_0_114,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89,i_0_104,i_0_101,i_0_136,i_0_148,i_0_141]) ).
cnf(i_0_650,plain,
( relation(relation_dom(X1))
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_651,plain,
( esk13_1(X1) != relation_dom(esk9_0)
| ~ in(X2,relation_dom(relation_dom(esk9_0))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_207,i_0_626,i_0_629,i_0_637,i_0_359,i_0_622,i_0_480,i_0_574,i_0_227,i_0_545,i_0_550,i_0_600,i_0_578,i_0_128,i_0_124,i_0_504,i_0_114,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_89,i_0_104,i_0_101,i_0_136,i_0_148,i_0_141,i_0_112,i_0_293]) ).
cnf(i_0_652,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_653,plain,
~ in(X1,relation_dom(esk9_0)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_654,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_655,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_656,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_657,plain,
~ in(X1,relation_dom(esk9_0)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_658,plain,
~ in(X1,relation_dom(esk9_0)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_660,plain,
subset(relation_inverse_image(empty_set,X1),X2),
inference(scs_inference,[],[i_0_311,i_0_98]) ).
cnf(i_0_661,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_662,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_663,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))) = relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2)),
inference(scs_inference,[],[i_0_311,i_0_517,i_0_98,i_0_132]) ).
cnf(i_0_664,plain,
~ subset(esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))),
inference(scs_inference,[],[i_0_160,i_0_311,i_0_517,i_0_638,i_0_98,i_0_132,i_0_96]) ).
cnf(i_0_665,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_666,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_667,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2)))),
inference(scs_inference,[],[i_0_160,i_0_665,i_0_311,i_0_517,i_0_638,i_0_124,i_0_98,i_0_132,i_0_96,i_0_149]) ).
cnf(i_0_668,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_669,plain,
( ~ relation(X1)
| in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_670,plain,
~ subset(powerset(X1),relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2)))),
inference(scs_inference,[],[i_0_160,i_0_665,i_0_311,i_0_517,i_0_638,i_0_505,i_0_124,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144]) ).
cnf(i_0_671,plain,
~ subset(powerset(X1),relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_505]) ).
cnf(i_0_672,plain,
relation_dom(esk11_0) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_160,i_0_665,i_0_311,i_0_517,i_0_452,i_0_638,i_0_505,i_0_124,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143]) ).
cnf(i_0_673,plain,
subset(relation_dom(esk11_0),X1),
inference(rename_variables,[],[i_0_452]) ).
cnf(i_0_674,plain,
empty_set != esk14_0,
inference(scs_inference,[],[i_0_97,i_0_160,i_0_665,i_0_311,i_0_517,i_0_452,i_0_638,i_0_505,i_0_130,i_0_124,i_0_121,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142]) ).
cnf(i_0_675,plain,
esk15_0 != relation_inverse_image(esk12_0,relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_97,i_0_160,i_0_665,i_0_311,i_0_517,i_0_581,i_0_452,i_0_638,i_0_505,i_0_130,i_0_124,i_0_121,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_676,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_dom(esk11_0))),
inference(rename_variables,[],[i_0_581]) ).
cnf(i_0_677,plain,
in(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_160,i_0_665,i_0_668,i_0_311,i_0_517,i_0_512,i_0_581,i_0_452,i_0_638,i_0_505,i_0_130,i_0_124,i_0_121,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142,i_0_140,i_0_89]) ).
cnf(i_0_678,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_679,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_680,plain,
element(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_160,i_0_665,i_0_668,i_0_311,i_0_517,i_0_512,i_0_581,i_0_452,i_0_638,i_0_505,i_0_130,i_0_124,i_0_121,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142,i_0_140,i_0_89,i_0_104]) ).
cnf(i_0_681,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_682,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_160,i_0_665,i_0_668,i_0_311,i_0_517,i_0_512,i_0_581,i_0_452,i_0_638,i_0_505,i_0_130,i_0_124,i_0_121,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142,i_0_140,i_0_89,i_0_104,i_0_101]) ).
cnf(i_0_683,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_684,plain,
( ~ relation(relation_inverse_image(esk9_0,X1))
| ~ in(X2,relation_dom(relation_inverse_image(esk9_0,X1))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_160,i_0_665,i_0_668,i_0_311,i_0_266,i_0_517,i_0_512,i_0_581,i_0_452,i_0_638,i_0_505,i_0_130,i_0_124,i_0_121,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142,i_0_140,i_0_89,i_0_104,i_0_101,i_0_148]) ).
cnf(i_0_685,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_686,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_687,plain,
( esk16_0 != relation_inverse_image(esk9_0,X1)
| ~ in(X2,relation_dom(relation_inverse_image(esk9_0,X1))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_160,i_0_665,i_0_668,i_0_311,i_0_266,i_0_517,i_0_512,i_0_581,i_0_452,i_0_638,i_0_505,i_0_130,i_0_124,i_0_121,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142,i_0_140,i_0_89,i_0_104,i_0_101,i_0_148,i_0_141]) ).
cnf(i_0_688,plain,
( esk13_1(X1) != relation_inverse_image(esk9_0,X2)
| ~ in(X3,relation_dom(relation_inverse_image(esk9_0,X2))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_160,i_0_665,i_0_668,i_0_311,i_0_266,i_0_517,i_0_512,i_0_581,i_0_452,i_0_638,i_0_505,i_0_130,i_0_124,i_0_121,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142,i_0_140,i_0_89,i_0_104,i_0_101,i_0_148,i_0_141,i_0_293]) ).
cnf(i_0_689,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_690,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_691,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_692,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_693,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_694,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_695,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_696,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_698,plain,
subset(relation_dom(esk13_1(X1)),X2),
inference(scs_inference,[],[i_0_413,i_0_98]) ).
cnf(i_0_699,plain,
~ in(X1,relation_dom(esk13_1(X2))),
inference(rename_variables,[],[i_0_413]) ).
cnf(i_0_700,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_701,plain,
relation_inverse_image(esk11_0,X1) = relation_dom(empty_set),
inference(scs_inference,[],[i_0_413,i_0_554,i_0_98,i_0_132]) ).
cnf(i_0_702,plain,
~ subset(esk15_0,relation_dom(empty_set)),
inference(scs_inference,[],[i_0_302,i_0_413,i_0_554,i_0_677,i_0_98,i_0_132,i_0_96]) ).
cnf(i_0_703,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_704,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_705,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_dom(empty_set))),
inference(scs_inference,[],[i_0_302,i_0_703,i_0_413,i_0_554,i_0_677,i_0_124,i_0_98,i_0_132,i_0_96,i_0_149]) ).
cnf(i_0_706,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_707,plain,
( ~ relation(X1)
| in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_708,plain,
~ subset(esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)))),
inference(scs_inference,[],[i_0_302,i_0_703,i_0_413,i_0_554,i_0_677,i_0_625,i_0_124,i_0_663,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144]) ).
cnf(i_0_709,plain,
~ subset(esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))),
inference(rename_variables,[],[i_0_625]) ).
cnf(i_0_710,plain,
relation_inverse_image(empty_set,X1) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_302,i_0_703,i_0_413,i_0_554,i_0_660,i_0_677,i_0_625,i_0_124,i_0_663,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143]) ).
cnf(i_0_711,plain,
subset(relation_inverse_image(empty_set,X1),X2),
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_712,plain,
esk13_1(X1) != esk12_0,
inference(scs_inference,[],[i_0_97,i_0_302,i_0_703,i_0_413,i_0_554,i_0_660,i_0_677,i_0_625,i_0_119,i_0_124,i_0_663,i_0_122,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142]) ).
cnf(i_0_713,plain,
esk15_0 != relation_inverse_image(esk16_0,relation_dom(empty_set)),
inference(scs_inference,[],[i_0_97,i_0_302,i_0_703,i_0_413,i_0_554,i_0_540,i_0_660,i_0_677,i_0_625,i_0_119,i_0_124,i_0_663,i_0_122,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_714,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_dom(empty_set))),
inference(rename_variables,[],[i_0_540]) ).
cnf(i_0_715,plain,
relation_dom(empty_set) = relation_dom(esk13_1(X1)),
inference(scs_inference,[],[i_0_97,i_0_302,i_0_703,i_0_706,i_0_413,i_0_554,i_0_540,i_0_660,i_0_677,i_0_625,i_0_299,i_0_119,i_0_196,i_0_124,i_0_663,i_0_122,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88]) ).
cnf(i_0_716,plain,
~ in(X1,esk13_1(X2)),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_717,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_718,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_719,plain,
relation_dom(empty_set) = relation_inverse_image(esk13_1(X1),X2),
inference(scs_inference,[],[i_0_97,i_0_302,i_0_703,i_0_706,i_0_717,i_0_413,i_0_554,i_0_540,i_0_660,i_0_677,i_0_625,i_0_299,i_0_716,i_0_119,i_0_196,i_0_124,i_0_663,i_0_122,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84]) ).
cnf(i_0_720,plain,
~ in(X1,esk13_1(X2)),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_721,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_722,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_723,plain,
relation_dom(empty_set) = relation_inverse_image(esk16_0,relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_703,i_0_706,i_0_717,i_0_721,i_0_257,i_0_413,i_0_554,i_0_540,i_0_660,i_0_677,i_0_625,i_0_299,i_0_716,i_0_119,i_0_196,i_0_124,i_0_663,i_0_122,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89]) ).
cnf(i_0_724,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_725,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_726,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_727,plain,
empty_set != esk16_0,
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_703,i_0_706,i_0_717,i_0_721,i_0_257,i_0_413,i_0_554,i_0_540,i_0_660,i_0_677,i_0_625,i_0_299,i_0_716,i_0_119,i_0_196,i_0_124,i_0_663,i_0_122,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_136]) ).
cnf(i_0_728,plain,
( ~ relation(relation_inverse_image(esk12_0,relation_dom(empty_set)))
| ~ in(X1,relation_dom(relation_inverse_image(esk12_0,relation_dom(empty_set)))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_703,i_0_706,i_0_717,i_0_721,i_0_257,i_0_413,i_0_554,i_0_540,i_0_660,i_0_677,i_0_625,i_0_299,i_0_716,i_0_119,i_0_196,i_0_124,i_0_663,i_0_122,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_136,i_0_148]) ).
cnf(i_0_729,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_730,plain,
( esk16_0 != relation_inverse_image(esk12_0,relation_dom(empty_set))
| ~ in(X1,relation_dom(relation_inverse_image(esk12_0,relation_dom(empty_set)))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_703,i_0_706,i_0_717,i_0_721,i_0_257,i_0_413,i_0_554,i_0_540,i_0_660,i_0_677,i_0_625,i_0_299,i_0_716,i_0_119,i_0_196,i_0_124,i_0_663,i_0_122,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_136,i_0_148,i_0_141]) ).
cnf(i_0_731,plain,
( esk13_1(X1) != relation_inverse_image(esk12_0,relation_dom(empty_set))
| ~ in(X2,relation_dom(relation_inverse_image(esk12_0,relation_dom(empty_set)))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_703,i_0_706,i_0_717,i_0_721,i_0_257,i_0_413,i_0_554,i_0_540,i_0_660,i_0_677,i_0_625,i_0_299,i_0_716,i_0_119,i_0_196,i_0_124,i_0_663,i_0_122,i_0_98,i_0_132,i_0_96,i_0_149,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_136,i_0_148,i_0_141,i_0_293]) ).
cnf(i_0_732,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_733,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_734,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_735,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_736,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_737,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_738,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_739,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_741,plain,
subset(relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X1)),X2),
inference(scs_inference,[],[i_0_371,i_0_98]) ).
cnf(i_0_742,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X2))),
inference(rename_variables,[],[i_0_371]) ).
cnf(i_0_743,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_744,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X1)) = relation_dom(empty_set),
inference(scs_inference,[],[i_0_371,i_0_558,i_0_98,i_0_132]) ).
cnf(i_0_745,plain,
~ subset(esk15_0,relation_inverse_image(esk11_0,X1)),
inference(scs_inference,[],[i_0_158,i_0_371,i_0_558,i_0_638,i_0_98,i_0_132,i_0_96]) ).
cnf(i_0_746,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_747,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_748,plain,
~ subset(esk15_0,relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_158,i_0_371,i_0_558,i_0_472,i_0_638,i_0_702,i_0_98,i_0_132,i_0_96,i_0_144]) ).
cnf(i_0_749,plain,
relation_dom(esk13_1(X1)) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_158,i_0_371,i_0_558,i_0_472,i_0_638,i_0_698,i_0_702,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143]) ).
cnf(i_0_750,plain,
subset(relation_dom(esk13_1(X1)),X2),
inference(rename_variables,[],[i_0_698]) ).
cnf(i_0_751,plain,
esk11_0 != unordered_pair(X1,X2),
inference(scs_inference,[],[i_0_97,i_0_158,i_0_371,i_0_558,i_0_472,i_0_638,i_0_698,i_0_702,i_0_127,i_0_99,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142]) ).
cnf(i_0_752,plain,
esk15_0 != relation_inverse_image(esk12_0,relation_dom(empty_set)),
inference(scs_inference,[],[i_0_97,i_0_158,i_0_371,i_0_558,i_0_472,i_0_638,i_0_698,i_0_705,i_0_702,i_0_127,i_0_99,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_753,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_dom(empty_set))),
inference(rename_variables,[],[i_0_705]) ).
cnf(i_0_754,plain,
relation_inverse_image(esk11_0,X1) = relation_dom(esk9_0),
inference(scs_inference,[],[i_0_97,i_0_158,i_0_746,i_0_371,i_0_558,i_0_472,i_0_638,i_0_698,i_0_705,i_0_702,i_0_194,i_0_127,i_0_99,i_0_125,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88]) ).
cnf(i_0_755,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_756,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_757,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_758,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(empty_set,X2),
inference(scs_inference,[],[i_0_97,i_0_158,i_0_746,i_0_756,i_0_371,i_0_558,i_0_472,i_0_638,i_0_698,i_0_705,i_0_702,i_0_254,i_0_194,i_0_127,i_0_99,i_0_125,i_0_126,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84]) ).
cnf(i_0_759,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_760,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_761,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_762,plain,
relation_dom(esk9_0) = relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_746,i_0_756,i_0_760,i_0_359,i_0_371,i_0_558,i_0_472,i_0_638,i_0_698,i_0_705,i_0_702,i_0_254,i_0_194,i_0_127,i_0_99,i_0_125,i_0_126,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89]) ).
cnf(i_0_763,plain,
~ in(X1,relation_dom(esk9_0)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_764,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_765,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_766,plain,
( ~ relation(relation_inverse_image(esk11_0,X1))
| ~ in(X2,relation_inverse_image(relation_inverse_image(esk11_0,X1),X3)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_746,i_0_756,i_0_760,i_0_764,i_0_359,i_0_371,i_0_558,i_0_472,i_0_638,i_0_698,i_0_705,i_0_702,i_0_254,i_0_194,i_0_127,i_0_99,i_0_125,i_0_126,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_147]) ).
cnf(i_0_767,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_768,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,relation_inverse_image(X2,X3),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_769,plain,
( esk16_0 != relation_inverse_image(esk11_0,X1)
| ~ in(X2,relation_inverse_image(relation_inverse_image(esk11_0,X1),X3)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_746,i_0_756,i_0_760,i_0_764,i_0_359,i_0_371,i_0_558,i_0_472,i_0_638,i_0_698,i_0_705,i_0_702,i_0_254,i_0_194,i_0_127,i_0_99,i_0_125,i_0_126,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_147,i_0_141]) ).
cnf(i_0_770,plain,
( esk13_1(X1) != relation_inverse_image(esk11_0,X2)
| ~ in(X3,relation_inverse_image(relation_inverse_image(esk11_0,X2),X4)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_746,i_0_756,i_0_760,i_0_764,i_0_359,i_0_371,i_0_558,i_0_472,i_0_638,i_0_698,i_0_705,i_0_702,i_0_254,i_0_194,i_0_127,i_0_99,i_0_125,i_0_126,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_147,i_0_141,i_0_293]) ).
cnf(i_0_771,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_772,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_773,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_774,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_775,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_776,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_777,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_778,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_780,plain,
subset(relation_inverse_image(esk16_0,relation_dom(esk11_0)),X1),
inference(scs_inference,[],[i_0_459,i_0_98]) ).
cnf(i_0_781,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_dom(esk11_0))),
inference(rename_variables,[],[i_0_459]) ).
cnf(i_0_782,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_783,plain,
relation_dom(esk9_0) = relation_dom(esk11_0),
inference(scs_inference,[],[i_0_459,i_0_592,i_0_98,i_0_132]) ).
cnf(i_0_784,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X2))),
inference(scs_inference,[],[i_0_123,i_0_311,i_0_459,i_0_592,i_0_98,i_0_132,i_0_149]) ).
cnf(i_0_785,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_786,plain,
( ~ relation(X1)
| in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_787,plain,
~ subset(esk15_0,relation_inverse_image(empty_set,X1)),
inference(scs_inference,[],[i_0_123,i_0_311,i_0_785,i_0_459,i_0_677,i_0_592,i_0_98,i_0_132,i_0_149,i_0_96]) ).
cnf(i_0_788,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_789,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_790,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X1)) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_311,i_0_785,i_0_459,i_0_677,i_0_592,i_0_741,i_0_98,i_0_132,i_0_149,i_0_96,i_0_143]) ).
cnf(i_0_791,plain,
subset(relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X1)),X2),
inference(rename_variables,[],[i_0_741]) ).
cnf(i_0_792,plain,
esk13_1(X1) != powerset(X2),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_311,i_0_785,i_0_459,i_0_677,i_0_592,i_0_741,i_0_119,i_0_114,i_0_98,i_0_132,i_0_149,i_0_96,i_0_143,i_0_142]) ).
cnf(i_0_793,plain,
esk15_0 != esk8_1(powerset(esk9_0)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_311,i_0_785,i_0_459,i_0_677,i_0_592,i_0_741,i_0_210,i_0_119,i_0_114,i_0_98,i_0_132,i_0_149,i_0_96,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_794,plain,
~ in(X1,esk8_1(powerset(esk9_0))),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_795,plain,
relation_inverse_image(empty_set,X1) = relation_dom(empty_set),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_311,i_0_785,i_0_788,i_0_459,i_0_677,i_0_592,i_0_741,i_0_210,i_0_254,i_0_119,i_0_126,i_0_114,i_0_98,i_0_132,i_0_149,i_0_96,i_0_143,i_0_142,i_0_140,i_0_88]) ).
cnf(i_0_796,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_797,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_798,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_799,plain,
relation_inverse_image(empty_set,X1) = relation_inverse_image(esk11_0,X2),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_311,i_0_785,i_0_788,i_0_797,i_0_459,i_0_677,i_0_592,i_0_741,i_0_210,i_0_154,i_0_254,i_0_119,i_0_126,i_0_156,i_0_114,i_0_98,i_0_132,i_0_149,i_0_96,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84]) ).
cnf(i_0_800,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_801,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_802,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_803,plain,
in(esk3_3(esk16_0,esk15_0,relation_inverse_image(empty_set,X1)),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_311,i_0_785,i_0_788,i_0_797,i_0_801,i_0_459,i_0_677,i_0_592,i_0_710,i_0_741,i_0_210,i_0_154,i_0_254,i_0_119,i_0_126,i_0_156,i_0_114,i_0_98,i_0_132,i_0_149,i_0_96,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89]) ).
cnf(i_0_804,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_805,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_806,plain,
relation_inverse_image(esk9_0,X1) != esk15_0,
inference(scs_inference,[],[i_0_97,i_0_123,i_0_311,i_0_785,i_0_788,i_0_797,i_0_801,i_0_459,i_0_677,i_0_592,i_0_710,i_0_741,i_0_210,i_0_154,i_0_254,i_0_119,i_0_126,i_0_156,i_0_114,i_0_98,i_0_132,i_0_149,i_0_96,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_137]) ).
cnf(i_0_807,plain,
element(esk3_3(esk16_0,esk15_0,relation_inverse_image(empty_set,X1)),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_311,i_0_785,i_0_788,i_0_797,i_0_801,i_0_459,i_0_677,i_0_592,i_0_710,i_0_741,i_0_210,i_0_154,i_0_254,i_0_119,i_0_126,i_0_156,i_0_114,i_0_98,i_0_132,i_0_149,i_0_96,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_137,i_0_104]) ).
cnf(i_0_808,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_809,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(empty_set,X1))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_311,i_0_785,i_0_788,i_0_797,i_0_801,i_0_459,i_0_677,i_0_592,i_0_710,i_0_741,i_0_210,i_0_154,i_0_254,i_0_119,i_0_126,i_0_156,i_0_114,i_0_98,i_0_132,i_0_149,i_0_96,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_137,i_0_104,i_0_101]) ).
cnf(i_0_810,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_811,plain,
( ~ relation(relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1)))
| ~ in(X2,relation_dom(relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1)))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_311,i_0_785,i_0_788,i_0_797,i_0_801,i_0_459,i_0_677,i_0_592,i_0_710,i_0_741,i_0_210,i_0_154,i_0_254,i_0_119,i_0_126,i_0_156,i_0_114,i_0_98,i_0_132,i_0_149,i_0_96,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_137,i_0_104,i_0_101,i_0_148]) ).
cnf(i_0_812,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_813,plain,
( esk16_0 != relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1))
| ~ in(X2,relation_dom(relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1)))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_311,i_0_785,i_0_788,i_0_797,i_0_801,i_0_459,i_0_677,i_0_592,i_0_710,i_0_741,i_0_210,i_0_154,i_0_254,i_0_119,i_0_126,i_0_156,i_0_114,i_0_98,i_0_132,i_0_149,i_0_96,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_137,i_0_104,i_0_101,i_0_148,i_0_141]) ).
cnf(i_0_814,plain,
( esk13_1(X1) != relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X2))
| ~ in(X3,relation_dom(relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X2)))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_311,i_0_785,i_0_788,i_0_797,i_0_801,i_0_459,i_0_677,i_0_592,i_0_710,i_0_741,i_0_210,i_0_154,i_0_254,i_0_119,i_0_126,i_0_156,i_0_114,i_0_98,i_0_132,i_0_149,i_0_96,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_137,i_0_104,i_0_101,i_0_148,i_0_141,i_0_293]) ).
cnf(i_0_815,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_816,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_817,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_818,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_819,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_820,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_821,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_822,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_823,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_825,plain,
subset(relation_inverse_image(esk12_0,relation_dom(esk11_0)),X1),
inference(scs_inference,[],[i_0_581,i_0_98]) ).
cnf(i_0_826,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_dom(esk11_0))),
inference(rename_variables,[],[i_0_581]) ).
cnf(i_0_827,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_828,plain,
relation_inverse_image(esk13_1(X1),X2) = relation_dom(empty_set),
inference(scs_inference,[],[i_0_719,i_0_581,i_0_98,i_0_132]) ).
cnf(i_0_829,plain,
~ subset(singleton(X1),relation_dom(empty_set)),
inference(scs_inference,[],[i_0_302,i_0_719,i_0_581,i_0_308,i_0_98,i_0_132,i_0_96]) ).
cnf(i_0_830,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_831,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_832,plain,
~ subset(singleton(X1),relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_302,i_0_719,i_0_581,i_0_472,i_0_308,i_0_98,i_0_132,i_0_96,i_0_144]) ).
cnf(i_0_833,plain,
powerset(X1) != relation_inverse_image(esk13_1(X2),X3),
inference(scs_inference,[],[i_0_302,i_0_719,i_0_581,i_0_472,i_0_339,i_0_308,i_0_98,i_0_132,i_0_96,i_0_144,i_0_133]) ).
cnf(i_0_834,plain,
relation_inverse_image(esk16_0,relation_dom(esk11_0)) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_302,i_0_719,i_0_581,i_0_472,i_0_780,i_0_339,i_0_308,i_0_98,i_0_132,i_0_96,i_0_144,i_0_133,i_0_143]) ).
cnf(i_0_835,plain,
subset(relation_inverse_image(esk16_0,relation_dom(esk11_0)),X1),
inference(rename_variables,[],[i_0_780]) ).
cnf(i_0_836,plain,
empty_set != singleton(X1),
inference(scs_inference,[],[i_0_97,i_0_302,i_0_719,i_0_581,i_0_472,i_0_780,i_0_339,i_0_308,i_0_130,i_0_115,i_0_98,i_0_132,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142]) ).
cnf(i_0_837,plain,
esk15_0 != relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1)),
inference(scs_inference,[],[i_0_97,i_0_302,i_0_719,i_0_581,i_0_472,i_0_600,i_0_780,i_0_784,i_0_339,i_0_308,i_0_130,i_0_115,i_0_98,i_0_132,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_838,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X2))),
inference(rename_variables,[],[i_0_784]) ).
cnf(i_0_839,plain,
relation_dom(empty_set) = relation_dom(esk9_0),
inference(scs_inference,[],[i_0_97,i_0_302,i_0_830,i_0_719,i_0_581,i_0_472,i_0_600,i_0_780,i_0_784,i_0_339,i_0_308,i_0_194,i_0_130,i_0_125,i_0_115,i_0_98,i_0_132,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88]) ).
cnf(i_0_840,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_841,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_842,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_843,plain,
relation_dom(empty_set) = relation_inverse_image(esk9_0,X1),
inference(scs_inference,[],[i_0_97,i_0_302,i_0_830,i_0_841,i_0_719,i_0_581,i_0_472,i_0_600,i_0_780,i_0_784,i_0_339,i_0_308,i_0_194,i_0_840,i_0_130,i_0_125,i_0_115,i_0_98,i_0_132,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84]) ).
cnf(i_0_844,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_845,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_846,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_847,plain,
in(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk9_0,X1)),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_830,i_0_841,i_0_266,i_0_427,i_0_719,i_0_581,i_0_472,i_0_600,i_0_780,i_0_784,i_0_339,i_0_308,i_0_194,i_0_840,i_0_130,i_0_125,i_0_115,i_0_98,i_0_132,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89]) ).
cnf(i_0_848,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_849,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_850,plain,
element(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk9_0,X1)),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_830,i_0_841,i_0_266,i_0_427,i_0_719,i_0_581,i_0_472,i_0_600,i_0_780,i_0_784,i_0_339,i_0_308,i_0_194,i_0_840,i_0_130,i_0_125,i_0_115,i_0_98,i_0_132,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104]) ).
cnf(i_0_851,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_852,plain,
relation_dom(esk11_0) != esk15_0,
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_830,i_0_841,i_0_266,i_0_427,i_0_719,i_0_581,i_0_472,i_0_600,i_0_780,i_0_784,i_0_339,i_0_308,i_0_194,i_0_840,i_0_130,i_0_125,i_0_115,i_0_98,i_0_132,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104,i_0_137]) ).
cnf(i_0_853,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk9_0,X1))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_830,i_0_841,i_0_266,i_0_427,i_0_719,i_0_581,i_0_472,i_0_600,i_0_780,i_0_784,i_0_339,i_0_308,i_0_194,i_0_840,i_0_130,i_0_125,i_0_115,i_0_98,i_0_132,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104,i_0_137,i_0_101]) ).
cnf(i_0_854,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_855,plain,
( ~ relation(relation_dom(empty_set))
| ~ in(X1,relation_inverse_image(relation_dom(empty_set),X2)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_830,i_0_841,i_0_845,i_0_266,i_0_427,i_0_719,i_0_581,i_0_472,i_0_600,i_0_780,i_0_784,i_0_339,i_0_308,i_0_194,i_0_840,i_0_130,i_0_125,i_0_115,i_0_98,i_0_132,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104,i_0_137,i_0_101,i_0_147]) ).
cnf(i_0_856,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_857,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,relation_inverse_image(X2,X3),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_858,plain,
( esk16_0 != relation_dom(empty_set)
| ~ in(X1,relation_inverse_image(relation_dom(empty_set),X2)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_830,i_0_841,i_0_845,i_0_266,i_0_427,i_0_719,i_0_581,i_0_472,i_0_600,i_0_780,i_0_784,i_0_339,i_0_308,i_0_194,i_0_840,i_0_130,i_0_125,i_0_115,i_0_98,i_0_132,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104,i_0_137,i_0_101,i_0_147,i_0_141]) ).
cnf(i_0_859,plain,
( relation(relation_dom(X1))
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_860,plain,
( esk13_1(X1) != relation_dom(empty_set)
| ~ in(X2,relation_inverse_image(relation_dom(empty_set),X3)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_830,i_0_841,i_0_845,i_0_266,i_0_427,i_0_719,i_0_581,i_0_472,i_0_600,i_0_780,i_0_784,i_0_339,i_0_308,i_0_194,i_0_840,i_0_130,i_0_125,i_0_115,i_0_98,i_0_132,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104,i_0_137,i_0_101,i_0_147,i_0_141,i_0_112,i_0_293]) ).
cnf(i_0_861,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_862,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_863,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_864,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_865,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_866,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_867,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_868,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_869,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_871,plain,
subset(relation_inverse_image(esk16_0,relation_dom(empty_set)),X1),
inference(scs_inference,[],[i_0_540,i_0_98]) ).
cnf(i_0_872,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_dom(empty_set))),
inference(rename_variables,[],[i_0_540]) ).
cnf(i_0_873,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_874,plain,
relation_inverse_image(esk16_0,relation_dom(esk11_0)) = relation_dom(empty_set),
inference(scs_inference,[],[i_0_723,i_0_540,i_0_98,i_0_132]) ).
cnf(i_0_875,plain,
~ subset(esk12_0,relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_257,i_0_723,i_0_540,i_0_213,i_0_98,i_0_132,i_0_96]) ).
cnf(i_0_876,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_877,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_878,plain,
~ subset(singleton(X1),relation_inverse_image(esk11_0,X2)),
inference(scs_inference,[],[i_0_257,i_0_723,i_0_540,i_0_331,i_0_832,i_0_213,i_0_98,i_0_132,i_0_96,i_0_144]) ).
cnf(i_0_879,plain,
relation_inverse_image(esk12_0,relation_dom(esk11_0)) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_257,i_0_723,i_0_540,i_0_331,i_0_825,i_0_832,i_0_213,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143]) ).
cnf(i_0_880,plain,
subset(relation_inverse_image(esk12_0,relation_dom(esk11_0)),X1),
inference(rename_variables,[],[i_0_825]) ).
cnf(i_0_881,plain,
esk15_0 != esk8_1(powerset(empty_set)),
inference(scs_inference,[],[i_0_97,i_0_257,i_0_723,i_0_540,i_0_331,i_0_638,i_0_825,i_0_832,i_0_269,i_0_213,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_140]) ).
cnf(i_0_882,plain,
~ in(X1,esk8_1(powerset(empty_set))),
inference(rename_variables,[],[i_0_269]) ).
cnf(i_0_883,plain,
relation_dom(esk11_0) = relation_dom(esk13_1(X1)),
inference(scs_inference,[],[i_0_97,i_0_257,i_0_876,i_0_723,i_0_540,i_0_331,i_0_638,i_0_825,i_0_832,i_0_269,i_0_213,i_0_299,i_0_196,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_140,i_0_88]) ).
cnf(i_0_884,plain,
~ in(X1,esk13_1(X2)),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_885,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_886,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_887,plain,
relation_dom(esk11_0) = relation_inverse_image(esk13_1(X1),X2),
inference(scs_inference,[],[i_0_97,i_0_257,i_0_876,i_0_885,i_0_723,i_0_540,i_0_331,i_0_638,i_0_825,i_0_832,i_0_269,i_0_213,i_0_299,i_0_884,i_0_196,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_140,i_0_88,i_0_84]) ).
cnf(i_0_888,plain,
~ in(X1,esk13_1(X2)),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_889,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_890,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_891,plain,
in(esk3_3(esk16_0,esk15_0,relation_dom(esk11_0)),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_876,i_0_885,i_0_889,i_0_723,i_0_540,i_0_331,i_0_638,i_0_825,i_0_832,i_0_672,i_0_269,i_0_213,i_0_299,i_0_884,i_0_196,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_140,i_0_88,i_0_84,i_0_89]) ).
cnf(i_0_892,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_893,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_894,plain,
element(esk3_3(esk16_0,esk15_0,relation_dom(esk11_0)),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_876,i_0_885,i_0_889,i_0_723,i_0_540,i_0_331,i_0_638,i_0_825,i_0_832,i_0_672,i_0_269,i_0_213,i_0_299,i_0_884,i_0_196,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104]) ).
cnf(i_0_895,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_896,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_dom(esk11_0))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_876,i_0_885,i_0_889,i_0_723,i_0_540,i_0_331,i_0_638,i_0_825,i_0_832,i_0_672,i_0_269,i_0_213,i_0_299,i_0_884,i_0_196,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104,i_0_101]) ).
cnf(i_0_897,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_898,plain,
( ~ relation(relation_dom(esk11_0))
| ~ in(X1,relation_inverse_image(relation_dom(esk11_0),X2)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_876,i_0_885,i_0_889,i_0_892,i_0_723,i_0_540,i_0_331,i_0_638,i_0_825,i_0_832,i_0_672,i_0_269,i_0_213,i_0_299,i_0_884,i_0_196,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104,i_0_101,i_0_147]) ).
cnf(i_0_899,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_900,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,relation_inverse_image(X2,X3),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_901,plain,
( esk16_0 != relation_dom(esk11_0)
| ~ in(X1,relation_inverse_image(relation_dom(esk11_0),X2)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_876,i_0_885,i_0_889,i_0_892,i_0_723,i_0_540,i_0_331,i_0_638,i_0_825,i_0_832,i_0_672,i_0_269,i_0_213,i_0_299,i_0_884,i_0_196,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104,i_0_101,i_0_147,i_0_141]) ).
cnf(i_0_902,plain,
( relation(relation_dom(X1))
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_903,plain,
( esk13_1(X1) != relation_dom(esk11_0)
| ~ in(X2,relation_inverse_image(relation_dom(esk11_0),X3)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_876,i_0_885,i_0_889,i_0_892,i_0_723,i_0_540,i_0_331,i_0_638,i_0_825,i_0_832,i_0_672,i_0_269,i_0_213,i_0_299,i_0_884,i_0_127,i_0_196,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_140,i_0_88,i_0_84,i_0_89,i_0_104,i_0_101,i_0_147,i_0_141,i_0_112,i_0_293]) ).
cnf(i_0_904,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_905,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_906,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_907,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_908,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_909,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_910,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_911,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_912,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_913,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_915,plain,
subset(relation_inverse_image(esk12_0,relation_dom(empty_set)),X1),
inference(scs_inference,[],[i_0_705,i_0_98]) ).
cnf(i_0_916,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_dom(empty_set))),
inference(rename_variables,[],[i_0_705]) ).
cnf(i_0_917,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_918,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)) = relation_dom(esk9_0),
inference(scs_inference,[],[i_0_762,i_0_705,i_0_98,i_0_132]) ).
cnf(i_0_919,plain,
~ subset(esk14_0,relation_inverse_image(esk11_0,X1)),
inference(scs_inference,[],[i_0_158,i_0_762,i_0_705,i_0_365,i_0_98,i_0_132,i_0_96]) ).
cnf(i_0_920,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_921,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_922,plain,
~ subset(esk15_0,relation_inverse_image(esk9_0,X1)),
inference(scs_inference,[],[i_0_158,i_0_762,i_0_381,i_0_705,i_0_748,i_0_365,i_0_98,i_0_132,i_0_96,i_0_144]) ).
cnf(i_0_923,plain,
relation_inverse_image(esk16_0,relation_dom(empty_set)) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_158,i_0_762,i_0_381,i_0_705,i_0_748,i_0_871,i_0_365,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143]) ).
cnf(i_0_924,plain,
subset(relation_inverse_image(esk16_0,relation_dom(empty_set)),X1),
inference(rename_variables,[],[i_0_871]) ).
cnf(i_0_925,plain,
empty_set != esk12_0,
inference(scs_inference,[],[i_0_97,i_0_158,i_0_762,i_0_381,i_0_705,i_0_748,i_0_871,i_0_365,i_0_130,i_0_122,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142]) ).
cnf(i_0_926,plain,
esk15_0 != esk8_1(powerset(esk11_0)),
inference(scs_inference,[],[i_0_97,i_0_158,i_0_762,i_0_381,i_0_677,i_0_705,i_0_748,i_0_871,i_0_462,i_0_365,i_0_130,i_0_122,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_927,plain,
~ in(X1,esk8_1(powerset(esk11_0))),
inference(rename_variables,[],[i_0_462]) ).
cnf(i_0_928,plain,
relation_inverse_image(esk11_0,X1) = relation_dom(esk13_1(X2)),
inference(scs_inference,[],[i_0_97,i_0_158,i_0_920,i_0_762,i_0_381,i_0_677,i_0_705,i_0_748,i_0_871,i_0_462,i_0_365,i_0_299,i_0_130,i_0_196,i_0_122,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88]) ).
cnf(i_0_929,plain,
~ in(X1,esk13_1(X2)),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_930,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_931,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_932,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk13_1(X2),X3),
inference(scs_inference,[],[i_0_97,i_0_158,i_0_920,i_0_930,i_0_762,i_0_381,i_0_677,i_0_705,i_0_748,i_0_871,i_0_462,i_0_365,i_0_299,i_0_929,i_0_130,i_0_196,i_0_122,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84]) ).
cnf(i_0_933,plain,
~ in(X1,esk13_1(X2)),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_934,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_935,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_936,plain,
relation_dom(empty_set) = relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_920,i_0_930,i_0_934,i_0_302,i_0_762,i_0_381,i_0_677,i_0_705,i_0_748,i_0_871,i_0_462,i_0_365,i_0_299,i_0_929,i_0_130,i_0_196,i_0_122,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89]) ).
cnf(i_0_937,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_938,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_939,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_940,plain,
relation_dom(empty_set) != esk15_0,
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_920,i_0_930,i_0_934,i_0_302,i_0_762,i_0_381,i_0_677,i_0_705,i_0_748,i_0_871,i_0_462,i_0_365,i_0_299,i_0_929,i_0_130,i_0_196,i_0_122,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_137]) ).
cnf(i_0_941,plain,
( ~ relation(relation_dom(esk9_0))
| ~ in(X1,relation_inverse_image(relation_dom(esk9_0),X2)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_920,i_0_930,i_0_934,i_0_359,i_0_302,i_0_762,i_0_381,i_0_677,i_0_705,i_0_748,i_0_871,i_0_462,i_0_365,i_0_299,i_0_929,i_0_130,i_0_196,i_0_122,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_137,i_0_147]) ).
cnf(i_0_942,plain,
~ in(X1,relation_dom(esk9_0)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_943,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,relation_inverse_image(X2,X3),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_944,plain,
( esk16_0 != relation_dom(esk9_0)
| ~ in(X1,relation_inverse_image(relation_dom(esk9_0),X2)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_920,i_0_930,i_0_934,i_0_359,i_0_302,i_0_762,i_0_381,i_0_677,i_0_705,i_0_748,i_0_871,i_0_462,i_0_365,i_0_299,i_0_929,i_0_130,i_0_196,i_0_122,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_137,i_0_147,i_0_141]) ).
cnf(i_0_945,plain,
( relation(relation_dom(X1))
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_946,plain,
( esk13_1(X1) != relation_dom(esk9_0)
| ~ in(X2,relation_inverse_image(relation_dom(esk9_0),X3)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_920,i_0_930,i_0_934,i_0_359,i_0_302,i_0_762,i_0_381,i_0_677,i_0_705,i_0_748,i_0_871,i_0_462,i_0_365,i_0_299,i_0_929,i_0_128,i_0_130,i_0_196,i_0_122,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_137,i_0_147,i_0_141,i_0_112,i_0_293]) ).
cnf(i_0_947,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_948,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_949,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_950,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_951,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_952,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_953,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_954,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_956,plain,
subset(relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1)),X2),
inference(scs_inference,[],[i_0_784,i_0_98]) ).
cnf(i_0_957,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X2))),
inference(rename_variables,[],[i_0_784]) ).
cnf(i_0_958,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_959,plain,
relation_dom(esk13_1(X1)) = relation_dom(empty_set),
inference(scs_inference,[],[i_0_715,i_0_784,i_0_98,i_0_132]) ).
cnf(i_0_960,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X2))),
inference(scs_inference,[],[i_0_311,i_0_715,i_0_784,i_0_124,i_0_98,i_0_132,i_0_149]) ).
cnf(i_0_961,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_962,plain,
( ~ relation(X1)
| in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_963,plain,
~ subset(powerset(X1),relation_inverse_image(empty_set,X2)),
inference(scs_inference,[],[i_0_311,i_0_961,i_0_715,i_0_784,i_0_169,i_0_124,i_0_98,i_0_132,i_0_149,i_0_96]) ).
cnf(i_0_964,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_965,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_966,plain,
~ subset(esk12_0,relation_dom(empty_set)),
inference(scs_inference,[],[i_0_311,i_0_961,i_0_550,i_0_715,i_0_784,i_0_169,i_0_875,i_0_124,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144]) ).
cnf(i_0_967,plain,
powerset(X1) != relation_dom(esk13_1(X2)),
inference(scs_inference,[],[i_0_311,i_0_961,i_0_550,i_0_715,i_0_784,i_0_339,i_0_169,i_0_875,i_0_124,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133]) ).
cnf(i_0_968,plain,
relation_inverse_image(esk12_0,relation_dom(empty_set)) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_311,i_0_961,i_0_550,i_0_715,i_0_784,i_0_915,i_0_339,i_0_169,i_0_875,i_0_124,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143]) ).
cnf(i_0_969,plain,
subset(relation_inverse_image(esk12_0,relation_dom(empty_set)),X1),
inference(rename_variables,[],[i_0_915]) ).
cnf(i_0_970,plain,
esk9_0 != unordered_pair(X1,X2),
inference(scs_inference,[],[i_0_97,i_0_311,i_0_961,i_0_550,i_0_715,i_0_784,i_0_915,i_0_339,i_0_169,i_0_875,i_0_128,i_0_124,i_0_99,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142]) ).
cnf(i_0_971,plain,
esk15_0 != esk11_0,
inference(scs_inference,[],[i_0_97,i_0_311,i_0_961,i_0_550,i_0_638,i_0_715,i_0_784,i_0_915,i_0_339,i_0_169,i_0_875,i_0_154,i_0_128,i_0_124,i_0_99,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_972,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_973,plain,
relation_inverse_image(empty_set,X1) = relation_dom(esk9_0),
inference(scs_inference,[],[i_0_97,i_0_311,i_0_961,i_0_964,i_0_550,i_0_638,i_0_715,i_0_784,i_0_915,i_0_339,i_0_169,i_0_875,i_0_154,i_0_194,i_0_128,i_0_124,i_0_125,i_0_99,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88]) ).
cnf(i_0_974,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_975,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_976,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_977,plain,
relation_inverse_image(empty_set,X1) = relation_inverse_image(esk9_0,X2),
inference(scs_inference,[],[i_0_97,i_0_311,i_0_961,i_0_964,i_0_975,i_0_550,i_0_638,i_0_715,i_0_784,i_0_915,i_0_339,i_0_169,i_0_875,i_0_154,i_0_194,i_0_974,i_0_128,i_0_124,i_0_125,i_0_99,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84]) ).
cnf(i_0_978,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_979,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_980,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_981,plain,
relation_dom(esk9_0) = relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_311,i_0_961,i_0_964,i_0_975,i_0_979,i_0_359,i_0_550,i_0_638,i_0_715,i_0_784,i_0_915,i_0_339,i_0_169,i_0_875,i_0_154,i_0_194,i_0_974,i_0_128,i_0_124,i_0_125,i_0_99,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89]) ).
cnf(i_0_982,plain,
~ in(X1,relation_dom(esk9_0)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_983,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_984,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_985,plain,
( ~ relation(relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X1)))
| ~ in(X2,relation_dom(relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X1)))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_311,i_0_961,i_0_964,i_0_975,i_0_979,i_0_359,i_0_550,i_0_638,i_0_715,i_0_784,i_0_915,i_0_339,i_0_169,i_0_875,i_0_154,i_0_194,i_0_974,i_0_128,i_0_124,i_0_125,i_0_99,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_148]) ).
cnf(i_0_986,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_987,plain,
( esk16_0 != relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X1))
| ~ in(X2,relation_dom(relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X1)))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_311,i_0_961,i_0_964,i_0_975,i_0_979,i_0_359,i_0_550,i_0_638,i_0_715,i_0_784,i_0_915,i_0_339,i_0_169,i_0_875,i_0_154,i_0_194,i_0_974,i_0_128,i_0_124,i_0_125,i_0_99,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_148,i_0_141]) ).
cnf(i_0_988,plain,
( esk13_1(X1) != relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X2))
| ~ in(X3,relation_dom(relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X2)))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_311,i_0_961,i_0_964,i_0_975,i_0_979,i_0_359,i_0_550,i_0_638,i_0_715,i_0_784,i_0_915,i_0_339,i_0_169,i_0_875,i_0_154,i_0_194,i_0_974,i_0_128,i_0_124,i_0_125,i_0_99,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_148,i_0_141,i_0_293]) ).
cnf(i_0_989,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_990,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_991,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_992,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_993,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_994,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_995,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_997,plain,
subset(relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X1)),X2),
inference(scs_inference,[],[i_0_960,i_0_98]) ).
cnf(i_0_998,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X2))),
inference(rename_variables,[],[i_0_960]) ).
cnf(i_0_999,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_1000,plain,
relation_inverse_image(esk9_0,X1) = relation_dom(empty_set),
inference(scs_inference,[],[i_0_843,i_0_960,i_0_98,i_0_132]) ).
cnf(i_0_1001,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X2))),
inference(scs_inference,[],[i_0_266,i_0_843,i_0_960,i_0_124,i_0_98,i_0_132,i_0_149]) ).
cnf(i_0_1002,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1003,plain,
( ~ relation(X1)
| in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_1004,plain,
~ subset(singleton(X1),relation_inverse_image(esk9_0,X2)),
inference(scs_inference,[],[i_0_266,i_0_1002,i_0_843,i_0_960,i_0_308,i_0_124,i_0_98,i_0_132,i_0_149,i_0_96]) ).
cnf(i_0_1005,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1006,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_1007,plain,
~ subset(esk12_0,relation_inverse_image(esk11_0,X1)),
inference(scs_inference,[],[i_0_266,i_0_1002,i_0_331,i_0_843,i_0_960,i_0_308,i_0_875,i_0_124,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144]) ).
cnf(i_0_1008,plain,
esk15_0 != relation_dom(esk9_0),
inference(scs_inference,[],[i_0_266,i_0_1002,i_0_331,i_0_843,i_0_960,i_0_981,i_0_308,i_0_837,i_0_875,i_0_124,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133]) ).
cnf(i_0_1009,plain,
relation_dom(esk9_0) = relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1)),
inference(rename_variables,[],[i_0_981]) ).
cnf(i_0_1010,plain,
relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1)) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_266,i_0_1002,i_0_331,i_0_843,i_0_956,i_0_960,i_0_981,i_0_308,i_0_837,i_0_875,i_0_124,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143]) ).
cnf(i_0_1011,plain,
subset(relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1)),X2),
inference(rename_variables,[],[i_0_956]) ).
cnf(i_0_1012,plain,
esk11_0 != singleton(X1),
inference(scs_inference,[],[i_0_97,i_0_266,i_0_1002,i_0_331,i_0_843,i_0_956,i_0_960,i_0_981,i_0_308,i_0_837,i_0_875,i_0_127,i_0_124,i_0_115,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142]) ).
cnf(i_0_1013,plain,
esk15_0 != relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X1)),
inference(scs_inference,[],[i_0_97,i_0_266,i_0_1002,i_0_600,i_0_331,i_0_843,i_0_956,i_0_960,i_0_998,i_0_981,i_0_308,i_0_837,i_0_875,i_0_127,i_0_124,i_0_115,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140]) ).
cnf(i_0_1014,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X2))),
inference(rename_variables,[],[i_0_960]) ).
cnf(i_0_1015,plain,
relation_inverse_image(esk9_0,X1) = relation_dom(esk13_1(X2)),
inference(scs_inference,[],[i_0_97,i_0_266,i_0_1002,i_0_1005,i_0_600,i_0_331,i_0_843,i_0_956,i_0_960,i_0_998,i_0_981,i_0_308,i_0_837,i_0_875,i_0_299,i_0_127,i_0_196,i_0_124,i_0_115,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88]) ).
cnf(i_0_1016,plain,
~ in(X1,esk13_1(X2)),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_1017,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1018,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_1019,plain,
relation_inverse_image(esk9_0,X1) = relation_inverse_image(empty_set,X2),
inference(scs_inference,[],[i_0_97,i_0_266,i_0_1002,i_0_1005,i_0_1017,i_0_600,i_0_331,i_0_843,i_0_956,i_0_960,i_0_998,i_0_981,i_0_308,i_0_837,i_0_875,i_0_254,i_0_299,i_0_127,i_0_196,i_0_124,i_0_126,i_0_115,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84]) ).
cnf(i_0_1020,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_1021,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1022,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_1023,plain,
relation_dom(esk9_0) = relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X1)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_1002,i_0_1005,i_0_1017,i_0_1021,i_0_359,i_0_600,i_0_331,i_0_843,i_0_956,i_0_960,i_0_998,i_0_981,i_0_308,i_0_837,i_0_875,i_0_254,i_0_299,i_0_127,i_0_196,i_0_124,i_0_126,i_0_115,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89]) ).
cnf(i_0_1024,plain,
~ in(X1,relation_dom(esk9_0)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_1025,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1026,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1027,plain,
relation_inverse_image(empty_set,X1) != esk15_0,
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_1002,i_0_1005,i_0_1017,i_0_1021,i_0_359,i_0_600,i_0_331,i_0_843,i_0_956,i_0_960,i_0_998,i_0_981,i_0_308,i_0_837,i_0_875,i_0_254,i_0_299,i_0_127,i_0_196,i_0_124,i_0_126,i_0_115,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_137]) ).
cnf(i_0_1028,plain,
( ~ relation(relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1)))
| ~ in(X2,relation_dom(relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1)))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_1002,i_0_1005,i_0_1017,i_0_1021,i_0_359,i_0_600,i_0_331,i_0_843,i_0_956,i_0_960,i_0_998,i_0_981,i_0_308,i_0_837,i_0_875,i_0_254,i_0_299,i_0_127,i_0_196,i_0_124,i_0_126,i_0_115,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_137,i_0_148]) ).
cnf(i_0_1029,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_1030,plain,
( esk16_0 != relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1))
| ~ in(X2,relation_dom(relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1)))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_1002,i_0_1005,i_0_1017,i_0_1021,i_0_359,i_0_600,i_0_331,i_0_843,i_0_956,i_0_960,i_0_998,i_0_981,i_0_308,i_0_837,i_0_875,i_0_254,i_0_299,i_0_127,i_0_196,i_0_124,i_0_126,i_0_115,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_137,i_0_148,i_0_141]) ).
cnf(i_0_1031,plain,
( esk13_1(X1) != relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X2))
| ~ in(X3,relation_dom(relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X2)))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_1002,i_0_1005,i_0_1017,i_0_1021,i_0_359,i_0_600,i_0_331,i_0_843,i_0_956,i_0_960,i_0_998,i_0_981,i_0_308,i_0_837,i_0_875,i_0_254,i_0_299,i_0_127,i_0_196,i_0_124,i_0_126,i_0_115,i_0_98,i_0_132,i_0_149,i_0_96,i_0_144,i_0_133,i_0_143,i_0_142,i_0_140,i_0_88,i_0_84,i_0_89,i_0_137,i_0_148,i_0_141,i_0_293]) ).
cnf(i_0_1032,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1033,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1034,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1035,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1036,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1037,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1038,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1040,plain,
subset(relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1)),X2),
inference(scs_inference,[],[i_0_1001,i_0_98]) ).
cnf(i_0_1041,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X2))),
inference(rename_variables,[],[i_0_1001]) ).
cnf(i_0_1042,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_1043,plain,
relation_inverse_image(esk13_1(X1),X2) = relation_dom(esk11_0),
inference(scs_inference,[],[i_0_887,i_0_1001,i_0_98,i_0_132]) ).
cnf(i_0_1044,plain,
~ subset(esk14_0,relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_257,i_0_887,i_0_1001,i_0_365,i_0_98,i_0_132,i_0_96]) ).
cnf(i_0_1045,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_1046,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_1047,plain,
~ subset(esk12_0,relation_inverse_image(esk9_0,X1)),
inference(scs_inference,[],[i_0_257,i_0_381,i_0_887,i_0_1001,i_0_365,i_0_875,i_0_98,i_0_132,i_0_96,i_0_144]) ).
cnf(i_0_1048,plain,
relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X1)) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_257,i_0_381,i_0_887,i_0_997,i_0_1001,i_0_365,i_0_875,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143]) ).
cnf(i_0_1049,plain,
subset(relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X1)),X2),
inference(rename_variables,[],[i_0_997]) ).
cnf(i_0_1050,plain,
esk15_0 != relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1)),
inference(scs_inference,[],[i_0_97,i_0_257,i_0_677,i_0_381,i_0_887,i_0_997,i_0_1001,i_0_1041,i_0_365,i_0_875,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_140]) ).
cnf(i_0_1051,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X2))),
inference(rename_variables,[],[i_0_1001]) ).
cnf(i_0_1052,plain,
relation_dom(esk9_0) = relation_inverse_image(esk16_0,relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_1045,i_0_359,i_0_677,i_0_381,i_0_887,i_0_997,i_0_1001,i_0_1041,i_0_365,i_0_875,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_140,i_0_89]) ).
cnf(i_0_1053,plain,
~ in(X1,relation_dom(esk9_0)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_1054,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_1055,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1056,plain,
( ~ relation(relation_inverse_image(empty_set,X1))
| ~ in(X2,relation_inverse_image(relation_inverse_image(empty_set,X1),X3)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_1045,i_0_311,i_0_359,i_0_677,i_0_381,i_0_887,i_0_997,i_0_1001,i_0_1041,i_0_365,i_0_875,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_140,i_0_89,i_0_147]) ).
cnf(i_0_1057,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_1058,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,relation_inverse_image(X2,X3),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_1059,plain,
( esk16_0 != relation_inverse_image(empty_set,X1)
| ~ in(X2,relation_inverse_image(relation_inverse_image(empty_set,X1),X3)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_1045,i_0_311,i_0_359,i_0_677,i_0_381,i_0_887,i_0_997,i_0_1001,i_0_1041,i_0_365,i_0_875,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_140,i_0_89,i_0_147,i_0_141]) ).
cnf(i_0_1060,plain,
( esk13_1(X1) != relation_inverse_image(empty_set,X2)
| ~ in(X3,relation_inverse_image(relation_inverse_image(empty_set,X2),X4)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_257,i_0_1045,i_0_311,i_0_359,i_0_677,i_0_381,i_0_887,i_0_997,i_0_1001,i_0_1041,i_0_365,i_0_875,i_0_98,i_0_132,i_0_96,i_0_144,i_0_143,i_0_140,i_0_89,i_0_147,i_0_141,i_0_293]) ).
cnf(i_0_1061,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1062,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_1063,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1064,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_1065,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_1066,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1067,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_1068,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1070,plain,
subset(esk8_1(powerset(esk9_0)),X1),
inference(scs_inference,[],[i_0_210,i_0_98]) ).
cnf(i_0_1071,plain,
~ in(X1,esk8_1(powerset(esk9_0))),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_1072,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_1073,plain,
relation_inverse_image(esk13_1(X1),X2) = relation_inverse_image(esk11_0,X3),
inference(scs_inference,[],[i_0_932,i_0_210,i_0_98,i_0_132]) ).
cnf(i_0_1074,plain,
~ subset(esk14_0,relation_dom(empty_set)),
inference(scs_inference,[],[i_0_550,i_0_932,i_0_210,i_0_1044,i_0_98,i_0_132,i_0_144]) ).
cnf(i_0_1075,plain,
relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1)) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_550,i_0_932,i_0_1040,i_0_210,i_0_1044,i_0_98,i_0_132,i_0_144,i_0_143]) ).
cnf(i_0_1076,plain,
subset(relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1)),X2),
inference(rename_variables,[],[i_0_1040]) ).
cnf(i_0_1077,plain,
esk15_0 != esk9_0,
inference(scs_inference,[],[i_0_97,i_0_638,i_0_550,i_0_932,i_0_1040,i_0_210,i_0_1044,i_0_194,i_0_98,i_0_132,i_0_144,i_0_143,i_0_140]) ).
cnf(i_0_1078,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_1079,plain,
in(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk13_1(X1),X2)),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_368,i_0_638,i_0_633,i_0_550,i_0_932,i_0_1040,i_0_210,i_0_1044,i_0_194,i_0_98,i_0_132,i_0_144,i_0_143,i_0_140,i_0_89]) ).
cnf(i_0_1080,plain,
~ in(X1,relation_inverse_image(esk13_1(X2),X3)),
inference(rename_variables,[],[i_0_368]) ).
cnf(i_0_1081,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1082,plain,
element(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk13_1(X1),X2)),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_368,i_0_638,i_0_633,i_0_550,i_0_932,i_0_1040,i_0_210,i_0_1044,i_0_194,i_0_98,i_0_132,i_0_144,i_0_143,i_0_140,i_0_89,i_0_104]) ).
cnf(i_0_1083,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1084,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk13_1(X1),X2))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_368,i_0_638,i_0_633,i_0_550,i_0_932,i_0_1040,i_0_210,i_0_1044,i_0_194,i_0_98,i_0_132,i_0_144,i_0_143,i_0_140,i_0_89,i_0_104,i_0_101]) ).
cnf(i_0_1085,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1086,plain,
( relation(X1)
| esk11_0 != X1 ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_368,i_0_638,i_0_633,i_0_550,i_0_932,i_0_1040,i_0_210,i_0_1044,i_0_194,i_0_156,i_0_98,i_0_132,i_0_144,i_0_143,i_0_140,i_0_89,i_0_104,i_0_101,i_0_141]) ).
cnf(i_0_1087,plain,
( esk11_0 != relation_inverse_image(esk11_0,X1)
| relation_dom(empty_set) = relation_dom(relation_inverse_image(esk11_0,X1)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_302,i_0_368,i_0_638,i_0_633,i_0_550,i_0_932,i_0_1040,i_0_210,i_0_1044,i_0_194,i_0_156,i_0_98,i_0_132,i_0_144,i_0_143,i_0_140,i_0_89,i_0_104,i_0_101,i_0_141,i_0_88]) ).
cnf(i_0_1088,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1089,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_1090,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_1091,plain,
( esk11_0 != relation_inverse_image(esk11_0,X1)
| relation_dom(empty_set) = relation_inverse_image(relation_inverse_image(esk11_0,X1),X2) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_1088,i_0_302,i_0_1089,i_0_368,i_0_638,i_0_633,i_0_550,i_0_932,i_0_1040,i_0_210,i_0_1044,i_0_194,i_0_156,i_0_98,i_0_132,i_0_144,i_0_143,i_0_140,i_0_89,i_0_104,i_0_101,i_0_141,i_0_88,i_0_84]) ).
cnf(i_0_1092,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1093,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_1094,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_1095,plain,
( esk11_0 != relation_inverse_image(esk11_0,X1)
| ~ in(X2,relation_dom(relation_inverse_image(esk11_0,X1))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_1088,i_0_302,i_0_1089,i_0_368,i_0_638,i_0_633,i_0_550,i_0_932,i_0_1040,i_0_210,i_0_1044,i_0_194,i_0_156,i_0_98,i_0_132,i_0_144,i_0_143,i_0_140,i_0_89,i_0_104,i_0_101,i_0_141,i_0_88,i_0_84,i_0_607]) ).
cnf(i_0_1096,plain,
( ~ relation(relation_inverse_image(esk11_0,X1))
| ~ in(X2,relation_dom(relation_inverse_image(esk11_0,X1))) ),
inference(rename_variables,[],[i_0_607]) ).
cnf(i_0_1097,plain,
( esk11_0 != relation_inverse_image(esk11_0,X1)
| ~ in(X2,relation_inverse_image(relation_inverse_image(esk11_0,X1),X3)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_1088,i_0_302,i_0_1089,i_0_368,i_0_638,i_0_633,i_0_550,i_0_932,i_0_1040,i_0_210,i_0_1044,i_0_194,i_0_156,i_0_98,i_0_132,i_0_144,i_0_143,i_0_140,i_0_89,i_0_104,i_0_101,i_0_141,i_0_88,i_0_84,i_0_607,i_0_766]) ).
cnf(i_0_1098,plain,
( ~ relation(relation_inverse_image(esk11_0,X1))
| ~ in(X2,relation_inverse_image(relation_inverse_image(esk11_0,X1),X3)) ),
inference(rename_variables,[],[i_0_766]) ).
cnf(i_0_1099,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_1100,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1101,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1102,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1103,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1104,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1105,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1106,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1107,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1109,plain,
relation(esk11_0),
inference(equality_inference,[],[1086]) ).
cnf(i_0_1110,plain,
subset(esk8_1(powerset(empty_set)),X1),
inference(scs_inference,[],[i_0_269,i_0_98]) ).
cnf(i_0_1111,plain,
~ in(X1,esk8_1(powerset(empty_set))),
inference(rename_variables,[],[i_0_269]) ).
cnf(i_0_1112,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_1113,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)) = relation_dom(empty_set),
inference(scs_inference,[],[i_0_936,i_0_269,i_0_98,i_0_132]) ).
cnf(i_0_1114,plain,
esk8_1(powerset(esk9_0)) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_936,i_0_1070,i_0_269,i_0_98,i_0_132,i_0_143]) ).
cnf(i_0_1115,plain,
subset(esk8_1(powerset(esk9_0)),X1),
inference(rename_variables,[],[i_0_1070]) ).
cnf(i_0_1116,plain,
esk15_0 != empty_set,
inference(scs_inference,[],[i_0_97,i_0_677,i_0_936,i_0_1070,i_0_269,i_0_254,i_0_98,i_0_132,i_0_143,i_0_140]) ).
cnf(i_0_1117,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_1118,plain,
in(esk3_3(esk16_0,esk15_0,relation_dom(esk13_1(X1))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_413,i_0_677,i_0_936,i_0_1070,i_0_749,i_0_269,i_0_254,i_0_98,i_0_132,i_0_143,i_0_140,i_0_89]) ).
cnf(i_0_1119,plain,
~ in(X1,relation_dom(esk13_1(X2))),
inference(rename_variables,[],[i_0_413]) ).
cnf(i_0_1120,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1121,plain,
~ empty(esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_413,i_0_677,i_0_936,i_0_1070,i_0_749,i_0_269,i_0_254,i_0_98,i_0_132,i_0_143,i_0_140,i_0_89,i_0_120]) ).
cnf(i_0_1122,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_1123,plain,
element(esk3_3(esk16_0,esk15_0,relation_dom(esk13_1(X1))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_413,i_0_677,i_0_936,i_0_1070,i_0_749,i_0_269,i_0_254,i_0_98,i_0_132,i_0_143,i_0_140,i_0_89,i_0_120,i_0_104]) ).
cnf(i_0_1124,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1125,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_dom(esk13_1(X1)))),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_413,i_0_677,i_0_936,i_0_1070,i_0_749,i_0_269,i_0_254,i_0_98,i_0_132,i_0_143,i_0_140,i_0_89,i_0_120,i_0_104,i_0_101]) ).
cnf(i_0_1126,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1127,plain,
( X1 != singleton(X2)
| ~ in(X1,esk8_1(singleton(X2))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_413,i_0_677,i_0_936,i_0_1070,i_0_749,i_0_269,i_0_347,i_0_254,i_0_98,i_0_132,i_0_143,i_0_140,i_0_89,i_0_120,i_0_104,i_0_101,i_0_139]) ).
cnf(i_0_1128,plain,
( ~ relation(relation_inverse_image(esk11_0,X1))
| relation_dom(empty_set) = relation_dom(relation_inverse_image(esk11_0,X1)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_302,i_0_413,i_0_677,i_0_936,i_0_1070,i_0_749,i_0_269,i_0_347,i_0_254,i_0_98,i_0_132,i_0_143,i_0_140,i_0_89,i_0_120,i_0_104,i_0_101,i_0_139,i_0_620,i_0_88]) ).
cnf(i_0_1129,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1130,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_1131,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_1132,plain,
( ~ relation(relation_inverse_image(esk11_0,X1))
| relation_dom(empty_set) = relation_inverse_image(relation_inverse_image(esk11_0,X1),X2) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_1129,i_0_302,i_0_1130,i_0_413,i_0_677,i_0_936,i_0_1070,i_0_749,i_0_269,i_0_347,i_0_254,i_0_98,i_0_132,i_0_143,i_0_140,i_0_89,i_0_120,i_0_104,i_0_101,i_0_139,i_0_620,i_0_88,i_0_84]) ).
cnf(i_0_1133,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1134,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_1135,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_1136,plain,
~ in(singleton(X1),esk8_1(singleton(X1))),
inference(equality_inference,[],[1127]) ).
cnf(i_0_1137,plain,
( ~ in(X1,relation_dom(relation_inverse_image(esk11_0,X2)))
| powerset(X3) != relation_inverse_image(relation_dom(esk11_0),X4)
| ~ relation(relation_dom(esk11_0)) ),
inference(scs_inference,[],[i_0_1121,i_0_620]) ).
cnf(i_0_1138,plain,
subset(esk8_1(powerset(esk11_0)),X1),
inference(scs_inference,[],[i_0_462,i_0_98]) ).
cnf(i_0_1139,plain,
~ in(X1,esk8_1(powerset(esk11_0))),
inference(rename_variables,[],[i_0_462]) ).
cnf(i_0_1140,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_1141,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X1)) = relation_dom(esk9_0),
inference(scs_inference,[],[i_0_1023,i_0_462,i_0_98,i_0_132]) ).
cnf(i_0_1142,plain,
in(esk8_1(esk15_0),esk15_0),
inference(scs_inference,[],[i_0_1023,i_0_462,i_0_111,i_0_1121,i_0_98,i_0_132,i_0_103]) ).
cnf(i_0_1143,plain,
element(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_1144,plain,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_1145,plain,
esk11_0 != esk15_0,
inference(scs_inference,[],[i_0_1023,i_0_462,i_0_111,i_0_127,i_0_1121,i_0_98,i_0_132,i_0_103,i_0_142]) ).
cnf(i_0_1146,plain,
esk8_1(powerset(empty_set)) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_1023,i_0_1110,i_0_462,i_0_111,i_0_127,i_0_1121,i_0_98,i_0_132,i_0_103,i_0_142,i_0_143]) ).
cnf(i_0_1147,plain,
subset(esk8_1(powerset(empty_set)),X1),
inference(rename_variables,[],[i_0_1110]) ).
cnf(i_0_1148,plain,
esk15_0 != esk13_1(X1),
inference(scs_inference,[],[i_0_97,i_0_677,i_0_1023,i_0_1110,i_0_462,i_0_111,i_0_299,i_0_127,i_0_1121,i_0_98,i_0_132,i_0_103,i_0_142,i_0_143,i_0_140]) ).
cnf(i_0_1149,plain,
~ in(X1,esk13_1(X2)),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_1150,plain,
in(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X1))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_371,i_0_677,i_0_1023,i_0_790,i_0_1110,i_0_462,i_0_111,i_0_299,i_0_127,i_0_1121,i_0_98,i_0_132,i_0_103,i_0_142,i_0_143,i_0_140,i_0_89]) ).
cnf(i_0_1151,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X2))),
inference(rename_variables,[],[i_0_371]) ).
cnf(i_0_1152,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1153,plain,
element(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X1))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_371,i_0_677,i_0_1023,i_0_790,i_0_1110,i_0_462,i_0_111,i_0_299,i_0_127,i_0_1121,i_0_98,i_0_132,i_0_103,i_0_142,i_0_143,i_0_140,i_0_89,i_0_104]) ).
cnf(i_0_1154,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1155,plain,
~ in(esk15_0,esk8_1(esk15_0)),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_371,i_0_677,i_0_1023,i_0_790,i_0_1110,i_0_462,i_0_111,i_0_299,i_0_127,i_0_1121,i_0_98,i_0_132,i_0_103,i_0_142,i_0_143,i_0_140,i_0_89,i_0_104,i_0_101]) ).
cnf(i_0_1156,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1157,plain,
( X1 != powerset(X2)
| ~ in(X1,esk8_1(powerset(X2))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_371,i_0_677,i_0_1023,i_0_790,i_0_1110,i_0_462,i_0_436,i_0_111,i_0_299,i_0_127,i_0_1121,i_0_98,i_0_132,i_0_103,i_0_142,i_0_143,i_0_140,i_0_89,i_0_104,i_0_101,i_0_139]) ).
cnf(i_0_1158,plain,
( ~ relation(relation_inverse_image(esk11_0,X1))
| relation_inverse_image(esk9_0,X2) = relation_dom(relation_inverse_image(esk11_0,X1)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_266,i_0_371,i_0_677,i_0_1023,i_0_790,i_0_1110,i_0_462,i_0_436,i_0_111,i_0_299,i_0_127,i_0_1121,i_0_98,i_0_132,i_0_103,i_0_142,i_0_143,i_0_140,i_0_89,i_0_104,i_0_101,i_0_139,i_0_88]) ).
cnf(i_0_1159,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1160,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1161,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_1162,plain,
( ~ relation(relation_inverse_image(esk11_0,X1))
| relation_inverse_image(esk9_0,X2) = relation_inverse_image(relation_inverse_image(esk11_0,X1),X3) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_1159,i_0_266,i_0_1160,i_0_371,i_0_677,i_0_1023,i_0_790,i_0_1110,i_0_462,i_0_436,i_0_111,i_0_299,i_0_127,i_0_1121,i_0_98,i_0_132,i_0_103,i_0_142,i_0_143,i_0_140,i_0_89,i_0_104,i_0_101,i_0_139,i_0_88,i_0_84]) ).
cnf(i_0_1163,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1164,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1165,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_1166,plain,
~ in(powerset(X1),esk8_1(powerset(X1))),
inference(equality_inference,[],[1157]) ).
cnf(i_0_1167,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X1)))),
inference(scs_inference,[],[i_0_1150,i_0_101]) ).
cnf(i_0_1168,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1169,plain,
subset(esk11_0,X1),
inference(scs_inference,[],[i_0_1150,i_0_154,i_0_101,i_0_98]) ).
cnf(i_0_1170,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1171,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_1172,plain,
relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1)) = relation_dom(esk9_0),
inference(scs_inference,[],[i_0_981,i_0_1150,i_0_154,i_0_101,i_0_98,i_0_132]) ).
cnf(i_0_1173,plain,
powerset(X1) != relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X2)),
inference(scs_inference,[],[i_0_981,i_0_389,i_0_1150,i_0_154,i_0_101,i_0_98,i_0_132,i_0_133]) ).
cnf(i_0_1174,plain,
esk9_0 != esk15_0,
inference(scs_inference,[],[i_0_981,i_0_389,i_0_1150,i_0_154,i_0_128,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_133,i_0_142]) ).
cnf(i_0_1175,plain,
esk8_1(powerset(esk11_0)) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_981,i_0_1138,i_0_389,i_0_1150,i_0_154,i_0_128,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_133,i_0_142,i_0_143]) ).
cnf(i_0_1176,plain,
subset(esk8_1(powerset(esk11_0)),X1),
inference(rename_variables,[],[i_0_1138]) ).
cnf(i_0_1177,plain,
esk15_0 != relation_inverse_image(esk12_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))),
inference(scs_inference,[],[i_0_97,i_0_600,i_0_981,i_0_1138,i_0_628,i_0_389,i_0_1150,i_0_154,i_0_128,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_133,i_0_142,i_0_143,i_0_140]) ).
cnf(i_0_1178,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2)))),
inference(rename_variables,[],[i_0_628]) ).
cnf(i_0_1179,plain,
in(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_dom(esk11_0))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_459,i_0_600,i_0_981,i_0_834,i_0_1138,i_0_628,i_0_389,i_0_1150,i_0_154,i_0_128,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_133,i_0_142,i_0_143,i_0_140,i_0_89]) ).
cnf(i_0_1180,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_dom(esk11_0))),
inference(rename_variables,[],[i_0_459]) ).
cnf(i_0_1181,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1182,plain,
element(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_dom(esk11_0))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_459,i_0_600,i_0_981,i_0_834,i_0_1138,i_0_628,i_0_389,i_0_1150,i_0_154,i_0_128,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_133,i_0_142,i_0_143,i_0_140,i_0_89,i_0_104]) ).
cnf(i_0_1183,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1184,plain,
( X1 != esk14_0
| ~ in(X1,esk8_1(esk14_0)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_459,i_0_600,i_0_981,i_0_834,i_0_1138,i_0_628,i_0_389,i_0_1150,i_0_397,i_0_154,i_0_128,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_133,i_0_142,i_0_143,i_0_140,i_0_89,i_0_104,i_0_139]) ).
cnf(i_0_1185,plain,
( ~ relation(relation_dom(empty_set))
| relation_inverse_image(esk11_0,X1) = relation_dom(relation_dom(empty_set)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_302,i_0_459,i_0_600,i_0_981,i_0_834,i_0_1138,i_0_628,i_0_389,i_0_1150,i_0_397,i_0_154,i_0_128,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_133,i_0_142,i_0_143,i_0_140,i_0_89,i_0_104,i_0_139,i_0_88]) ).
cnf(i_0_1186,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_1187,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1188,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_1189,plain,
( ~ relation(relation_dom(empty_set))
| relation_inverse_image(esk11_0,X1) = relation_inverse_image(relation_dom(empty_set),X2) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_1187,i_0_302,i_0_1186,i_0_459,i_0_600,i_0_981,i_0_834,i_0_1138,i_0_628,i_0_389,i_0_1150,i_0_397,i_0_154,i_0_128,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_133,i_0_142,i_0_143,i_0_140,i_0_89,i_0_104,i_0_139,i_0_88,i_0_84]) ).
cnf(i_0_1190,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_1191,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1192,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_1193,plain,
( ~ relation(relation_inverse_image(esk11_0,X1))
| esk15_0 != relation_dom(relation_inverse_image(esk11_0,X1)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_1187,i_0_1191,i_0_302,i_0_1186,i_0_459,i_0_600,i_0_981,i_0_834,i_0_1138,i_0_628,i_0_389,i_0_1150,i_0_397,i_0_154,i_0_128,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_133,i_0_142,i_0_143,i_0_140,i_0_89,i_0_104,i_0_139,i_0_88,i_0_84,i_0_85]) ).
cnf(i_0_1194,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1195,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_1196,plain,
( ~ relation(relation_inverse_image(esk11_0,X1))
| esk15_0 != relation_inverse_image(relation_inverse_image(esk11_0,X1),X2) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_1187,i_0_1191,i_0_1194,i_0_302,i_0_1186,i_0_459,i_0_600,i_0_981,i_0_834,i_0_1138,i_0_628,i_0_389,i_0_1150,i_0_397,i_0_154,i_0_128,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_133,i_0_142,i_0_143,i_0_140,i_0_89,i_0_104,i_0_139,i_0_88,i_0_84,i_0_85,i_0_82]) ).
cnf(i_0_1197,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1198,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_1199,plain,
~ in(esk14_0,esk8_1(esk14_0)),
inference(equality_inference,[],[1184]) ).
cnf(i_0_1200,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_dom(esk11_0)))),
inference(scs_inference,[],[i_0_1179,i_0_101]) ).
cnf(i_0_1201,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1202,plain,
subset(esk9_0,X1),
inference(scs_inference,[],[i_0_1179,i_0_194,i_0_101,i_0_98]) ).
cnf(i_0_1203,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_1204,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_1205,plain,
relation_inverse_image(esk16_0,relation_dom(esk11_0)) = relation_dom(esk9_0),
inference(scs_inference,[],[i_0_1052,i_0_1179,i_0_194,i_0_101,i_0_98,i_0_132]) ).
cnf(i_0_1206,plain,
empty_set != esk15_0,
inference(scs_inference,[],[i_0_1052,i_0_1179,i_0_194,i_0_130,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_142]) ).
cnf(i_0_1207,plain,
relation_dom(empty_set) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_1052,i_0_1179,i_0_533,i_0_194,i_0_130,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_142,i_0_143]) ).
cnf(i_0_1208,plain,
subset(relation_dom(empty_set),X1),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1209,plain,
in(esk3_3(esk16_0,esk15_0,relation_dom(empty_set)),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_1052,i_0_1179,i_0_533,i_0_194,i_0_130,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_142,i_0_143,i_0_89]) ).
cnf(i_0_1210,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_1211,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1212,plain,
element(esk3_3(esk16_0,esk15_0,relation_dom(empty_set)),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_1052,i_0_1179,i_0_533,i_0_194,i_0_130,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_142,i_0_143,i_0_89,i_0_104]) ).
cnf(i_0_1213,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1214,plain,
( X1 != esk8_1(unordered_pair(X2,X3))
| ~ in(unordered_pair(X2,X3),X1) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_1052,i_0_1179,i_0_533,i_0_291,i_0_194,i_0_130,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_142,i_0_143,i_0_89,i_0_104,i_0_140]) ).
cnf(i_0_1215,plain,
( X1 != esk8_1(unordered_pair(X2,X3))
| ~ in(unordered_pair(X3,X2),X1) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_302,i_0_1052,i_0_1179,i_0_533,i_0_291,i_0_194,i_0_130,i_0_108,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_142,i_0_143,i_0_89,i_0_104,i_0_140,i_0_139]) ).
cnf(i_0_1216,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1217,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_1218,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1219,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1220,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1221,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1222,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1223,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1224,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1225,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1226,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1227,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1228,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1229,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_1230,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_1232,plain,
~ in(unordered_pair(X1,X2),esk8_1(unordered_pair(X1,X2))),
inference(equality_inference,[],[1214]) ).
cnf(i_0_1233,plain,
~ in(unordered_pair(X1,X2),esk8_1(unordered_pair(X2,X1))),
inference(equality_inference,[],[1215]) ).
cnf(i_0_1234,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_dom(empty_set))),
inference(scs_inference,[],[i_0_1209,i_0_101]) ).
cnf(i_0_1235,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1236,plain,
subset(empty_set,X1),
inference(scs_inference,[],[i_0_1209,i_0_254,i_0_101,i_0_98]) ).
cnf(i_0_1237,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_1238,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_1239,plain,
relation_dom(esk9_0) = relation_inverse_image(esk11_0,X1),
inference(scs_inference,[],[i_0_754,i_0_1209,i_0_254,i_0_101,i_0_98,i_0_132]) ).
cnf(i_0_1240,plain,
esk13_1(X1) != esk15_0,
inference(scs_inference,[],[i_0_754,i_0_1209,i_0_254,i_0_119,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_142]) ).
cnf(i_0_1241,plain,
relation_dom(esk9_0) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_754,i_0_621,i_0_1209,i_0_254,i_0_119,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_142,i_0_143]) ).
cnf(i_0_1242,plain,
subset(relation_dom(esk9_0),X1),
inference(rename_variables,[],[i_0_621]) ).
cnf(i_0_1243,plain,
in(esk3_3(esk16_0,esk15_0,relation_dom(esk9_0)),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_359,i_0_754,i_0_621,i_0_1209,i_0_254,i_0_119,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_142,i_0_143,i_0_89]) ).
cnf(i_0_1244,plain,
~ in(X1,relation_dom(esk9_0)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_1245,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1246,plain,
element(esk3_3(esk16_0,esk15_0,relation_dom(esk9_0)),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_359,i_0_754,i_0_621,i_0_1209,i_0_254,i_0_119,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_142,i_0_143,i_0_89,i_0_104]) ).
cnf(i_0_1247,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1248,plain,
( X1 != esk8_1(esk12_0)
| ~ in(esk12_0,X1) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_359,i_0_754,i_0_621,i_0_1209,i_0_241,i_0_254,i_0_119,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_142,i_0_143,i_0_89,i_0_104,i_0_140]) ).
cnf(i_0_1249,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))) != esk12_0
| esk15_0 != esk8_1(esk12_0) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_359,i_0_677,i_0_754,i_0_621,i_0_1209,i_0_241,i_0_254,i_0_119,i_0_1121,i_0_101,i_0_98,i_0_132,i_0_142,i_0_143,i_0_89,i_0_104,i_0_140,i_0_139]) ).
cnf(i_0_1250,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1251,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1252,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1253,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1254,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1255,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1256,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1257,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1258,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1259,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1260,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1261,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1262,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1263,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1265,plain,
~ in(esk12_0,esk8_1(esk12_0)),
inference(equality_inference,[],[1248]) ).
cnf(i_0_1266,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_dom(esk9_0))),
inference(scs_inference,[],[i_0_1243,i_0_101]) ).
cnf(i_0_1267,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1268,plain,
subset(esk13_1(X1),X2),
inference(scs_inference,[],[i_0_1243,i_0_299,i_0_101,i_0_98]) ).
cnf(i_0_1269,plain,
~ in(X1,esk13_1(X2)),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_1270,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_1271,plain,
relation_dom(empty_set) = relation_inverse_image(empty_set,X1),
inference(scs_inference,[],[i_0_795,i_0_1243,i_0_299,i_0_101,i_0_98,i_0_132]) ).
cnf(i_0_1272,plain,
esk11_0 != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_795,i_0_1243,i_0_1169,i_0_299,i_0_101,i_0_98,i_0_132,i_0_143]) ).
cnf(i_0_1273,plain,
subset(esk11_0,X1),
inference(rename_variables,[],[i_0_1169]) ).
cnf(i_0_1274,plain,
in(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_dom(esk11_0))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_581,i_0_795,i_0_879,i_0_1243,i_0_1169,i_0_299,i_0_101,i_0_98,i_0_132,i_0_143,i_0_89]) ).
cnf(i_0_1275,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_dom(esk11_0))),
inference(rename_variables,[],[i_0_581]) ).
cnf(i_0_1276,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1277,plain,
element(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_dom(esk11_0))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_581,i_0_795,i_0_879,i_0_1243,i_0_1169,i_0_299,i_0_101,i_0_98,i_0_132,i_0_143,i_0_89,i_0_104]) ).
cnf(i_0_1278,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1279,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_dom(esk11_0))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_581,i_0_795,i_0_879,i_0_1243,i_0_1169,i_0_896,i_0_299,i_0_101,i_0_98,i_0_132,i_0_143,i_0_89,i_0_104,i_0_140]) ).
cnf(i_0_1280,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,relation_dom(esk11_0)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_638,i_0_581,i_0_795,i_0_879,i_0_1243,i_0_1169,i_0_896,i_0_299,i_0_101,i_0_98,i_0_132,i_0_143,i_0_89,i_0_104,i_0_140,i_0_139]) ).
cnf(i_0_1281,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1282,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1283,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1284,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1285,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1286,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1287,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1288,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1289,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1290,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1291,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1292,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1293,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1294,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1295,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1297,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_dom(esk11_0))),
inference(equality_inference,[],[1279]) ).
cnf(i_0_1298,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_dom(esk11_0)))),
inference(scs_inference,[],[i_0_1274,i_0_101]) ).
cnf(i_0_1299,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1300,plain,
relation_dom(esk9_0) = relation_dom(empty_set),
inference(scs_inference,[],[i_0_839,i_0_1274,i_0_101,i_0_132]) ).
cnf(i_0_1301,plain,
~ subset(esk14_0,relation_inverse_image(esk9_0,X1)),
inference(scs_inference,[],[i_0_381,i_0_839,i_0_1274,i_0_1044,i_0_101,i_0_132,i_0_144]) ).
cnf(i_0_1302,plain,
esk13_1(X1) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_381,i_0_839,i_0_1268,i_0_1274,i_0_1044,i_0_101,i_0_132,i_0_144,i_0_143]) ).
cnf(i_0_1303,plain,
subset(esk13_1(X1),X2),
inference(rename_variables,[],[i_0_1268]) ).
cnf(i_0_1304,plain,
esk15_0 != relation_inverse_image(esk12_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))),
inference(scs_inference,[],[i_0_97,i_0_600,i_0_381,i_0_839,i_0_1268,i_0_667,i_0_1274,i_0_1044,i_0_101,i_0_132,i_0_144,i_0_143,i_0_140]) ).
cnf(i_0_1305,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2)))),
inference(rename_variables,[],[i_0_667]) ).
cnf(i_0_1306,plain,
in(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_dom(empty_set))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_600,i_0_540,i_0_381,i_0_923,i_0_839,i_0_1268,i_0_667,i_0_1274,i_0_1044,i_0_101,i_0_132,i_0_144,i_0_143,i_0_140,i_0_89]) ).
cnf(i_0_1307,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_dom(empty_set))),
inference(rename_variables,[],[i_0_540]) ).
cnf(i_0_1308,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1309,plain,
element(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_dom(empty_set))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_600,i_0_540,i_0_381,i_0_923,i_0_839,i_0_1268,i_0_667,i_0_1274,i_0_1044,i_0_101,i_0_132,i_0_144,i_0_143,i_0_140,i_0_89,i_0_104]) ).
cnf(i_0_1310,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1311,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_dom(esk11_0)))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_600,i_0_540,i_0_381,i_0_923,i_0_839,i_0_1268,i_0_667,i_0_1274,i_0_1044,i_0_1200,i_0_101,i_0_132,i_0_144,i_0_143,i_0_140,i_0_89,i_0_104,i_0_139]) ).
cnf(i_0_1312,plain,
( ~ relation(relation_inverse_image(esk9_0,X1))
| esk15_0 != relation_dom(relation_inverse_image(esk9_0,X1)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_600,i_0_540,i_0_381,i_0_923,i_0_839,i_0_1268,i_0_667,i_0_1274,i_0_1044,i_0_1200,i_0_101,i_0_132,i_0_144,i_0_143,i_0_140,i_0_89,i_0_104,i_0_139,i_0_85]) ).
cnf(i_0_1313,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1314,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_1315,plain,
( ~ relation(relation_inverse_image(esk9_0,X1))
| esk15_0 != relation_inverse_image(relation_inverse_image(esk9_0,X1),X2) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_266,i_0_1313,i_0_600,i_0_540,i_0_381,i_0_923,i_0_839,i_0_1268,i_0_667,i_0_1274,i_0_1044,i_0_1200,i_0_101,i_0_132,i_0_144,i_0_143,i_0_140,i_0_89,i_0_104,i_0_139,i_0_85,i_0_82]) ).
cnf(i_0_1316,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1317,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_1318,plain,
( ~ relation(relation_inverse_image(esk9_0,X1))
| relation_inverse_image(esk11_0,X2) = relation_dom(relation_inverse_image(esk9_0,X1)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_266,i_0_1313,i_0_1316,i_0_600,i_0_540,i_0_381,i_0_923,i_0_839,i_0_1268,i_0_667,i_0_1274,i_0_1044,i_0_1200,i_0_101,i_0_132,i_0_144,i_0_143,i_0_140,i_0_89,i_0_104,i_0_139,i_0_85,i_0_82,i_0_88]) ).
cnf(i_0_1319,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1320,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1321,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_1322,plain,
( ~ relation(relation_inverse_image(esk9_0,X1))
| relation_inverse_image(esk11_0,X2) = relation_inverse_image(relation_inverse_image(esk9_0,X1),X3) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_158,i_0_1320,i_0_266,i_0_1313,i_0_1316,i_0_1319,i_0_600,i_0_540,i_0_381,i_0_923,i_0_839,i_0_1268,i_0_667,i_0_1274,i_0_1044,i_0_1200,i_0_101,i_0_132,i_0_144,i_0_143,i_0_140,i_0_89,i_0_104,i_0_139,i_0_85,i_0_82,i_0_88,i_0_84]) ).
cnf(i_0_1323,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1324,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1325,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_1326,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_dom(esk11_0)))),
inference(equality_inference,[],[1311]) ).
cnf(i_0_1327,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_dom(empty_set)))),
inference(scs_inference,[],[i_0_1306,i_0_101]) ).
cnf(i_0_1328,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1329,plain,
relation_dom(esk13_1(X1)) = relation_dom(esk11_0),
inference(scs_inference,[],[i_0_883,i_0_1306,i_0_101,i_0_132]) ).
cnf(i_0_1330,plain,
esk9_0 != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_883,i_0_1306,i_0_1202,i_0_101,i_0_132,i_0_143]) ).
cnf(i_0_1331,plain,
subset(esk9_0,X1),
inference(rename_variables,[],[i_0_1202]) ).
cnf(i_0_1332,plain,
in(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_dom(empty_set))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_705,i_0_883,i_0_1306,i_0_968,i_0_1202,i_0_101,i_0_132,i_0_143,i_0_89]) ).
cnf(i_0_1333,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_dom(empty_set))),
inference(rename_variables,[],[i_0_705]) ).
cnf(i_0_1334,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1335,plain,
element(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_dom(empty_set))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_705,i_0_883,i_0_1306,i_0_968,i_0_1202,i_0_101,i_0_132,i_0_143,i_0_89,i_0_104]) ).
cnf(i_0_1336,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1337,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_dom(esk11_0)))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_705,i_0_883,i_0_1306,i_0_968,i_0_1202,i_0_1298,i_0_101,i_0_132,i_0_143,i_0_89,i_0_104,i_0_140]) ).
cnf(i_0_1338,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_dom(esk11_0))) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_677,i_0_705,i_0_883,i_0_1306,i_0_968,i_0_1202,i_0_1298,i_0_101,i_0_132,i_0_143,i_0_89,i_0_104,i_0_140,i_0_139]) ).
cnf(i_0_1339,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1340,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1341,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1342,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1343,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1344,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1345,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1346,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1347,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1348,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1349,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1350,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1351,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1352,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1353,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1354,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1356,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_dom(esk11_0)))),
inference(equality_inference,[],[1337]) ).
cnf(i_0_1357,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_dom(empty_set)))),
inference(scs_inference,[],[i_0_1332,i_0_101]) ).
cnf(i_0_1358,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1359,plain,
relation_dom(esk13_1(X1)) = relation_inverse_image(esk11_0,X2),
inference(scs_inference,[],[i_0_928,i_0_1332,i_0_101,i_0_132]) ).
cnf(i_0_1360,plain,
empty_set != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_928,i_0_1332,i_0_1236,i_0_101,i_0_132,i_0_143]) ).
cnf(i_0_1361,plain,
subset(empty_set,X1),
inference(rename_variables,[],[i_0_1236]) ).
cnf(i_0_1362,plain,
in(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_784,i_0_1010,i_0_928,i_0_1332,i_0_1236,i_0_101,i_0_132,i_0_143,i_0_89]) ).
cnf(i_0_1363,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X2))),
inference(rename_variables,[],[i_0_784]) ).
cnf(i_0_1364,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1365,plain,
element(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_784,i_0_1010,i_0_928,i_0_1332,i_0_1236,i_0_101,i_0_132,i_0_143,i_0_89,i_0_104]) ).
cnf(i_0_1366,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1367,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_dom(empty_set))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_784,i_0_1010,i_0_928,i_0_1332,i_0_1236,i_0_1234,i_0_101,i_0_132,i_0_143,i_0_89,i_0_104,i_0_140]) ).
cnf(i_0_1368,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,relation_dom(empty_set)) ),
inference(scs_inference,[],[i_0_97,i_0_123,i_0_638,i_0_784,i_0_1010,i_0_928,i_0_1332,i_0_1236,i_0_1234,i_0_101,i_0_132,i_0_143,i_0_89,i_0_104,i_0_140,i_0_139]) ).
cnf(i_0_1369,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1370,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1371,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1372,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1373,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1374,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1375,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1376,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1377,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1378,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1379,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1380,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1381,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1382,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1383,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1384,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1386,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_dom(empty_set))),
inference(equality_inference,[],[1367]) ).
cnf(i_0_1387,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1)))),
inference(scs_inference,[],[i_0_1362,i_0_101]) ).
cnf(i_0_1388,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1389,plain,
relation_dom(esk13_1(X1)) = relation_inverse_image(esk9_0,X2),
inference(scs_inference,[],[i_0_1015,i_0_1362,i_0_101,i_0_132]) ).
cnf(i_0_1390,plain,
esk15_0 != relation_inverse_image(esk16_0,relation_inverse_image(esk13_1(esk11_0),X1)),
inference(scs_inference,[],[i_0_600,i_0_1015,i_0_1362,i_0_272,i_0_101,i_0_132,i_0_140]) ).
cnf(i_0_1391,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk13_1(esk11_0),X2))),
inference(rename_variables,[],[i_0_272]) ).
cnf(i_0_1392,plain,
in(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X1))),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_600,i_0_960,i_0_1015,i_0_1048,i_0_1362,i_0_272,i_0_101,i_0_132,i_0_140,i_0_89]) ).
cnf(i_0_1393,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X2))),
inference(rename_variables,[],[i_0_960]) ).
cnf(i_0_1394,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1395,plain,
element(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X1))),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_600,i_0_960,i_0_1015,i_0_1048,i_0_1362,i_0_272,i_0_101,i_0_132,i_0_140,i_0_89,i_0_104]) ).
cnf(i_0_1396,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1397,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_dom(esk9_0))) ),
inference(scs_inference,[],[i_0_123,i_0_600,i_0_960,i_0_1015,i_0_1048,i_0_1362,i_0_272,i_0_1266,i_0_101,i_0_132,i_0_140,i_0_89,i_0_104,i_0_139]) ).
cnf(i_0_1398,plain,
( ~ relation(relation_inverse_image(empty_set,X1))
| esk15_0 != relation_dom(relation_inverse_image(empty_set,X1)) ),
inference(scs_inference,[],[i_0_123,i_0_311,i_0_600,i_0_960,i_0_1015,i_0_1048,i_0_1362,i_0_272,i_0_1266,i_0_101,i_0_132,i_0_140,i_0_89,i_0_104,i_0_139,i_0_85]) ).
cnf(i_0_1399,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_1400,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_1401,plain,
( ~ relation(relation_inverse_image(empty_set,X1))
| esk15_0 != relation_inverse_image(relation_inverse_image(empty_set,X1),X2) ),
inference(scs_inference,[],[i_0_123,i_0_311,i_0_1399,i_0_600,i_0_960,i_0_1015,i_0_1048,i_0_1362,i_0_272,i_0_1266,i_0_101,i_0_132,i_0_140,i_0_89,i_0_104,i_0_139,i_0_85,i_0_82]) ).
cnf(i_0_1402,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_1403,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_1404,plain,
( ~ relation(relation_inverse_image(empty_set,X1))
| relation_inverse_image(esk11_0,X2) = relation_dom(relation_inverse_image(empty_set,X1)) ),
inference(scs_inference,[],[i_0_123,i_0_158,i_0_311,i_0_1399,i_0_1402,i_0_600,i_0_960,i_0_1015,i_0_1048,i_0_1362,i_0_272,i_0_1266,i_0_101,i_0_132,i_0_140,i_0_89,i_0_104,i_0_139,i_0_85,i_0_82,i_0_88]) ).
cnf(i_0_1405,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_1406,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1407,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_1408,plain,
( ~ relation(relation_inverse_image(empty_set,X1))
| relation_inverse_image(esk11_0,X2) = relation_inverse_image(relation_inverse_image(empty_set,X1),X3) ),
inference(scs_inference,[],[i_0_123,i_0_158,i_0_1406,i_0_311,i_0_1399,i_0_1402,i_0_1405,i_0_600,i_0_960,i_0_1015,i_0_1048,i_0_1362,i_0_272,i_0_1266,i_0_101,i_0_132,i_0_140,i_0_89,i_0_104,i_0_139,i_0_85,i_0_82,i_0_88,i_0_84]) ).
cnf(i_0_1409,plain,
~ in(X1,relation_inverse_image(empty_set,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_1410,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1411,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_1412,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_dom(esk9_0))),
inference(equality_inference,[],[1397]) ).
cnf(i_0_1413,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X1)))),
inference(scs_inference,[],[i_0_1392,i_0_101]) ).
cnf(i_0_1414,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1415,plain,
relation_dom(esk9_0) = relation_inverse_image(empty_set,X1),
inference(scs_inference,[],[i_0_973,i_0_1392,i_0_101,i_0_132]) ).
cnf(i_0_1416,plain,
in(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1))),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_1001,i_0_973,i_0_1075,i_0_1392,i_0_101,i_0_132,i_0_89]) ).
cnf(i_0_1417,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X2))),
inference(rename_variables,[],[i_0_1001]) ).
cnf(i_0_1418,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1419,plain,
element(esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1))),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_1001,i_0_973,i_0_1075,i_0_1392,i_0_101,i_0_132,i_0_89,i_0_104]) ).
cnf(i_0_1420,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1421,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_dom(empty_set)))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_123,i_0_1001,i_0_973,i_0_1075,i_0_1392,i_0_1327,i_0_101,i_0_132,i_0_89,i_0_104,i_0_140]) ).
cnf(i_0_1422,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_dom(empty_set))) ),
inference(scs_inference,[],[i_0_123,i_0_677,i_0_1001,i_0_973,i_0_1075,i_0_1392,i_0_1327,i_0_101,i_0_132,i_0_89,i_0_104,i_0_140,i_0_139]) ).
cnf(i_0_1423,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1424,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1425,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1426,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1427,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1428,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1429,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1430,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1431,plain,
subset(esk13_1(X1),X2),
inference(rename_variables,[],[i_0_1268]) ).
cnf(i_0_1432,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1433,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1434,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1435,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1436,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1437,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1438,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1439,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1441,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_dom(empty_set)))),
inference(equality_inference,[],[1421]) ).
cnf(i_0_1442,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1)))),
inference(scs_inference,[],[i_0_1416,i_0_101]) ).
cnf(i_0_1443,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1444,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))) = relation_inverse_image(esk13_1(esk11_0),X2),
inference(scs_inference,[],[i_0_1416,i_0_243,i_0_101,i_0_132]) ).
cnf(i_0_1445,plain,
esk8_1(powerset(relation_dom(esk11_0))) != esk15_0,
inference(scs_inference,[],[i_0_748,i_0_1416,i_0_191,i_0_243,i_0_101,i_0_132,i_0_143]) ).
cnf(i_0_1446,plain,
subset(esk8_1(powerset(X1)),X1),
inference(rename_variables,[],[i_0_191]) ).
cnf(i_0_1447,plain,
in(esk3_3(esk16_0,esk15_0,esk8_1(powerset(esk9_0))),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_748,i_0_1114,i_0_1416,i_0_191,i_0_210,i_0_243,i_0_101,i_0_132,i_0_143,i_0_89]) ).
cnf(i_0_1448,plain,
~ in(X1,esk8_1(powerset(esk9_0))),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_1449,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1450,plain,
element(esk3_3(esk16_0,esk15_0,esk8_1(powerset(esk9_0))),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_748,i_0_1114,i_0_1416,i_0_191,i_0_210,i_0_243,i_0_101,i_0_132,i_0_143,i_0_89,i_0_104]) ).
cnf(i_0_1451,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1452,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_dom(empty_set)))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_123,i_0_748,i_0_1114,i_0_1416,i_0_191,i_0_210,i_0_1357,i_0_243,i_0_101,i_0_132,i_0_143,i_0_89,i_0_104,i_0_140]) ).
cnf(i_0_1453,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_dom(empty_set))) ),
inference(scs_inference,[],[i_0_123,i_0_638,i_0_748,i_0_1114,i_0_1416,i_0_191,i_0_210,i_0_1357,i_0_243,i_0_101,i_0_132,i_0_143,i_0_89,i_0_104,i_0_140,i_0_139]) ).
cnf(i_0_1454,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1455,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1456,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1457,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1458,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1459,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1460,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1461,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1462,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1463,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1464,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1465,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1466,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1467,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1468,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1469,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1471,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_dom(empty_set)))),
inference(equality_inference,[],[1452]) ).
cnf(i_0_1472,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk8_1(powerset(esk9_0)))),
inference(scs_inference,[],[i_0_1447,i_0_101]) ).
cnf(i_0_1473,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1474,plain,
relation_inverse_image(esk16_0,relation_dom(esk13_1(esk11_0))) = relation_inverse_image(esk11_0,X1),
inference(scs_inference,[],[i_0_1447,i_0_320,i_0_101,i_0_132]) ).
cnf(i_0_1475,plain,
relation_inverse_image(esk13_1(X1),X2) != powerset(X3),
inference(scs_inference,[],[i_0_670,i_0_1447,i_0_574,i_0_320,i_0_101,i_0_132,i_0_143]) ).
cnf(i_0_1476,plain,
subset(relation_inverse_image(esk13_1(X1),X2),X3),
inference(rename_variables,[],[i_0_574]) ).
cnf(i_0_1477,plain,
esk15_0 != esk8_1(powerset(esk13_1(X1))),
inference(scs_inference,[],[i_0_600,i_0_670,i_0_1447,i_0_574,i_0_314,i_0_320,i_0_101,i_0_132,i_0_143,i_0_140]) ).
cnf(i_0_1478,plain,
~ in(X1,esk8_1(powerset(esk13_1(X2)))),
inference(rename_variables,[],[i_0_314]) ).
cnf(i_0_1479,plain,
in(esk3_3(esk16_0,esk15_0,esk8_1(powerset(empty_set))),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_600,i_0_670,i_0_1447,i_0_1146,i_0_574,i_0_269,i_0_314,i_0_320,i_0_101,i_0_132,i_0_143,i_0_140,i_0_89]) ).
cnf(i_0_1480,plain,
~ in(X1,esk8_1(powerset(empty_set))),
inference(rename_variables,[],[i_0_269]) ).
cnf(i_0_1481,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1482,plain,
element(esk3_3(esk16_0,esk15_0,esk8_1(powerset(empty_set))),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_600,i_0_670,i_0_1447,i_0_1146,i_0_574,i_0_269,i_0_314,i_0_320,i_0_101,i_0_132,i_0_143,i_0_140,i_0_89,i_0_104]) ).
cnf(i_0_1483,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1484,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk13_1(X2),X3))) ),
inference(scs_inference,[],[i_0_123,i_0_600,i_0_670,i_0_1447,i_0_1146,i_0_574,i_0_269,i_0_1084,i_0_314,i_0_320,i_0_101,i_0_132,i_0_143,i_0_140,i_0_89,i_0_104,i_0_139]) ).
cnf(i_0_1485,plain,
( ~ relation(relation_dom(esk11_0))
| esk15_0 != relation_dom(relation_dom(esk11_0)) ),
inference(scs_inference,[],[i_0_123,i_0_257,i_0_600,i_0_670,i_0_1447,i_0_1146,i_0_574,i_0_269,i_0_1084,i_0_314,i_0_320,i_0_101,i_0_132,i_0_143,i_0_140,i_0_89,i_0_104,i_0_139,i_0_85]) ).
cnf(i_0_1486,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_1487,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_1488,plain,
( ~ relation(relation_dom(esk11_0))
| esk15_0 != relation_inverse_image(relation_dom(esk11_0),X1) ),
inference(scs_inference,[],[i_0_123,i_0_257,i_0_1486,i_0_600,i_0_670,i_0_1447,i_0_1146,i_0_574,i_0_269,i_0_1084,i_0_314,i_0_320,i_0_101,i_0_132,i_0_143,i_0_140,i_0_89,i_0_104,i_0_139,i_0_85,i_0_82]) ).
cnf(i_0_1489,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_1490,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_1491,plain,
( ~ relation(relation_dom(esk11_0))
| relation_inverse_image(esk11_0,X1) = relation_dom(relation_dom(esk11_0)) ),
inference(scs_inference,[],[i_0_123,i_0_158,i_0_257,i_0_1486,i_0_1489,i_0_600,i_0_670,i_0_1447,i_0_1146,i_0_574,i_0_269,i_0_1084,i_0_314,i_0_320,i_0_101,i_0_132,i_0_143,i_0_140,i_0_89,i_0_104,i_0_139,i_0_85,i_0_82,i_0_88]) ).
cnf(i_0_1492,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_1493,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1494,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_1495,plain,
( ~ relation(relation_dom(esk11_0))
| relation_inverse_image(esk11_0,X1) = relation_inverse_image(relation_dom(esk11_0),X2) ),
inference(scs_inference,[],[i_0_123,i_0_158,i_0_1493,i_0_257,i_0_1486,i_0_1489,i_0_1492,i_0_600,i_0_670,i_0_1447,i_0_1146,i_0_574,i_0_269,i_0_1084,i_0_314,i_0_320,i_0_101,i_0_132,i_0_143,i_0_140,i_0_89,i_0_104,i_0_139,i_0_85,i_0_82,i_0_88,i_0_84]) ).
cnf(i_0_1496,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_1497,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1498,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_1499,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk13_1(X1),X2))),
inference(equality_inference,[],[1484]) ).
cnf(i_0_1500,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk8_1(powerset(empty_set)))),
inference(scs_inference,[],[i_0_1479,i_0_101]) ).
cnf(i_0_1501,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1502,plain,
relation_inverse_image(esk16_0,relation_dom(esk11_0)) = relation_inverse_image(esk11_0,X1),
inference(scs_inference,[],[i_0_1479,i_0_465,i_0_101,i_0_132]) ).
cnf(i_0_1503,plain,
relation_dom(esk13_1(X1)) != esk15_0,
inference(scs_inference,[],[i_0_708,i_0_1479,i_0_698,i_0_465,i_0_101,i_0_132,i_0_143]) ).
cnf(i_0_1504,plain,
subset(relation_dom(esk13_1(X1)),X2),
inference(rename_variables,[],[i_0_698]) ).
cnf(i_0_1505,plain,
in(esk3_3(esk16_0,esk15_0,esk8_1(powerset(esk11_0))),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_708,i_0_1479,i_0_1175,i_0_698,i_0_462,i_0_465,i_0_101,i_0_132,i_0_143,i_0_89]) ).
cnf(i_0_1506,plain,
~ in(X1,esk8_1(powerset(esk11_0))),
inference(rename_variables,[],[i_0_462]) ).
cnf(i_0_1507,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1508,plain,
element(esk3_3(esk16_0,esk15_0,esk8_1(powerset(esk11_0))),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_708,i_0_1479,i_0_1175,i_0_698,i_0_462,i_0_465,i_0_101,i_0_132,i_0_143,i_0_89,i_0_104]) ).
cnf(i_0_1509,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1510,plain,
( X1 != esk3_3(esk16_0,esk15_0,esk8_1(powerset(esk9_0)))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_123,i_0_708,i_0_1479,i_0_1175,i_0_698,i_0_462,i_0_1472,i_0_465,i_0_101,i_0_132,i_0_143,i_0_89,i_0_104,i_0_140]) ).
cnf(i_0_1511,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,esk8_1(powerset(esk9_0))) ),
inference(scs_inference,[],[i_0_123,i_0_677,i_0_708,i_0_1479,i_0_1175,i_0_698,i_0_462,i_0_1472,i_0_465,i_0_101,i_0_132,i_0_143,i_0_89,i_0_104,i_0_140,i_0_139]) ).
cnf(i_0_1512,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1513,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1514,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1515,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1516,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1517,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1518,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1519,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1520,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1521,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1522,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1523,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1524,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1525,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1526,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1527,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1529,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk8_1(powerset(esk9_0)))),
inference(equality_inference,[],[1510]) ).
cnf(i_0_1530,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk8_1(powerset(esk11_0)))),
inference(scs_inference,[],[i_0_1505,i_0_101]) ).
cnf(i_0_1531,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1532,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))) = relation_inverse_image(esk11_0,X2),
inference(scs_inference,[],[i_0_1505,i_0_511,i_0_101,i_0_132]) ).
cnf(i_0_1533,plain,
relation_inverse_image(esk12_0,relation_dom(empty_set)) != powerset(X1),
inference(scs_inference,[],[i_0_670,i_0_1505,i_0_915,i_0_511,i_0_101,i_0_132,i_0_143]) ).
cnf(i_0_1534,plain,
subset(relation_inverse_image(esk12_0,relation_dom(empty_set)),X1),
inference(rename_variables,[],[i_0_915]) ).
cnf(i_0_1535,plain,
in(esk3_3(esk16_0,esk15_0,esk11_0),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_670,i_0_1505,i_0_1272,i_0_915,i_0_154,i_0_511,i_0_101,i_0_132,i_0_143,i_0_89]) ).
cnf(i_0_1536,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1537,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1538,plain,
element(esk3_3(esk16_0,esk15_0,esk11_0),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_670,i_0_1505,i_0_1272,i_0_915,i_0_154,i_0_511,i_0_101,i_0_132,i_0_143,i_0_89,i_0_104]) ).
cnf(i_0_1539,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1540,plain,
( X1 != esk3_3(esk16_0,esk15_0,esk8_1(powerset(empty_set)))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_123,i_0_670,i_0_1505,i_0_1272,i_0_915,i_0_1500,i_0_154,i_0_511,i_0_101,i_0_132,i_0_143,i_0_89,i_0_104,i_0_140]) ).
cnf(i_0_1541,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,esk8_1(powerset(empty_set))) ),
inference(scs_inference,[],[i_0_123,i_0_638,i_0_670,i_0_1505,i_0_1272,i_0_915,i_0_1500,i_0_154,i_0_511,i_0_101,i_0_132,i_0_143,i_0_89,i_0_104,i_0_140,i_0_139]) ).
cnf(i_0_1542,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1543,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1544,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1545,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1546,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1547,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1548,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1549,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1550,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1551,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1552,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1553,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1554,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1555,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1556,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1557,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1559,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk8_1(powerset(empty_set)))),
inference(equality_inference,[],[1540]) ).
cnf(i_0_1560,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk11_0)),
inference(scs_inference,[],[i_0_1535,i_0_101]) ).
cnf(i_0_1561,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1562,plain,
relation_inverse_image(esk16_0,relation_dom(empty_set)) != esk15_0,
inference(scs_inference,[],[i_0_708,i_0_1535,i_0_871,i_0_101,i_0_143]) ).
cnf(i_0_1563,plain,
subset(relation_inverse_image(esk16_0,relation_dom(empty_set)),X1),
inference(rename_variables,[],[i_0_871]) ).
cnf(i_0_1564,plain,
in(esk3_3(esk16_0,esk15_0,esk9_0),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_708,i_0_1535,i_0_1330,i_0_871,i_0_194,i_0_101,i_0_143,i_0_89]) ).
cnf(i_0_1565,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_1566,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1567,plain,
element(esk3_3(esk16_0,esk15_0,esk9_0),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_708,i_0_1535,i_0_1330,i_0_871,i_0_194,i_0_101,i_0_143,i_0_89,i_0_104]) ).
cnf(i_0_1568,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1569,plain,
( X1 != esk3_3(esk16_0,esk15_0,esk8_1(powerset(esk11_0)))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_123,i_0_708,i_0_1535,i_0_1330,i_0_871,i_0_1530,i_0_194,i_0_101,i_0_143,i_0_89,i_0_104,i_0_140]) ).
cnf(i_0_1570,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk11_0,X1)) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,esk8_1(powerset(esk11_0))) ),
inference(scs_inference,[],[i_0_123,i_0_600,i_0_708,i_0_1535,i_0_1330,i_0_871,i_0_1530,i_0_194,i_0_101,i_0_143,i_0_89,i_0_104,i_0_140,i_0_139]) ).
cnf(i_0_1571,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1572,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1573,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1574,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1575,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1576,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1577,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1578,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1579,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1580,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1581,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1582,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1584,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk8_1(powerset(esk11_0)))),
inference(equality_inference,[],[1569]) ).
cnf(i_0_1585,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk9_0)),
inference(scs_inference,[],[i_0_1564,i_0_101]) ).
cnf(i_0_1586,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1587,plain,
relation_inverse_image(esk16_0,relation_dom(esk11_0)) != esk15_0,
inference(scs_inference,[],[i_0_748,i_0_1564,i_0_780,i_0_101,i_0_143]) ).
cnf(i_0_1588,plain,
subset(relation_inverse_image(esk16_0,relation_dom(esk11_0)),X1),
inference(rename_variables,[],[i_0_780]) ).
cnf(i_0_1589,plain,
in(esk3_3(esk16_0,esk15_0,empty_set),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_748,i_0_1564,i_0_1360,i_0_780,i_0_254,i_0_101,i_0_143,i_0_89]) ).
cnf(i_0_1590,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_1591,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1592,plain,
element(esk3_3(esk16_0,esk15_0,empty_set),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_748,i_0_1564,i_0_1360,i_0_780,i_0_254,i_0_101,i_0_143,i_0_89,i_0_104]) ).
cnf(i_0_1593,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1594,plain,
( X1 != esk3_3(esk16_0,esk15_0,esk11_0)
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_123,i_0_748,i_0_1564,i_0_1360,i_0_780,i_0_1560,i_0_254,i_0_101,i_0_143,i_0_89,i_0_104,i_0_140]) ).
cnf(i_0_1595,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,esk11_0) ),
inference(scs_inference,[],[i_0_123,i_0_677,i_0_748,i_0_1564,i_0_1360,i_0_780,i_0_1560,i_0_254,i_0_101,i_0_143,i_0_89,i_0_104,i_0_140,i_0_139]) ).
cnf(i_0_1596,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1597,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1598,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1599,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1600,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1601,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1602,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1603,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1604,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1605,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1606,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1607,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1608,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1609,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1611,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk11_0)),
inference(equality_inference,[],[1594]) ).
cnf(i_0_1612,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,empty_set)),
inference(scs_inference,[],[i_0_1589,i_0_101]) ).
cnf(i_0_1613,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1614,plain,
relation_inverse_image(esk12_0,relation_dom(esk11_0)) != powerset(X1),
inference(scs_inference,[],[i_0_670,i_0_1589,i_0_825,i_0_101,i_0_143]) ).
cnf(i_0_1615,plain,
subset(relation_inverse_image(esk12_0,relation_dom(esk11_0)),X1),
inference(rename_variables,[],[i_0_825]) ).
cnf(i_0_1616,plain,
in(esk3_3(esk16_0,esk15_0,esk13_1(X1)),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_670,i_0_1302,i_0_1589,i_0_825,i_0_299,i_0_101,i_0_143,i_0_89]) ).
cnf(i_0_1617,plain,
~ in(X1,esk13_1(X2)),
inference(rename_variables,[],[i_0_299]) ).
cnf(i_0_1618,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1619,plain,
element(esk3_3(esk16_0,esk15_0,esk13_1(X1)),esk15_0),
inference(scs_inference,[],[i_0_123,i_0_670,i_0_1302,i_0_1589,i_0_825,i_0_299,i_0_101,i_0_143,i_0_89,i_0_104]) ).
cnf(i_0_1620,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1621,plain,
( X1 != esk3_3(esk16_0,esk15_0,esk9_0)
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_123,i_0_670,i_0_1302,i_0_1589,i_0_825,i_0_1585,i_0_299,i_0_101,i_0_143,i_0_89,i_0_104,i_0_140]) ).
cnf(i_0_1622,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,esk9_0) ),
inference(scs_inference,[],[i_0_123,i_0_638,i_0_670,i_0_1302,i_0_1589,i_0_825,i_0_1585,i_0_299,i_0_101,i_0_143,i_0_89,i_0_104,i_0_140,i_0_139]) ).
cnf(i_0_1623,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1624,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1625,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1626,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1627,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1628,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1629,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1630,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1631,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1632,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1633,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1634,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1635,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1636,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1637,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1638,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1640,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk9_0)),
inference(equality_inference,[],[1621]) ).
cnf(i_0_1641,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk13_1(X1))),
inference(scs_inference,[],[i_0_1616,i_0_101]) ).
cnf(i_0_1642,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1643,plain,
relation_inverse_image(esk11_0,X1) != powerset(X2),
inference(scs_inference,[],[i_0_670,i_0_1616,i_0_188,i_0_101,i_0_143]) ).
cnf(i_0_1644,plain,
subset(relation_inverse_image(esk11_0,X1),X2),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1645,plain,
( X1 != esk3_3(esk16_0,esk15_0,empty_set)
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_670,i_0_1616,i_0_188,i_0_1612,i_0_101,i_0_143,i_0_140]) ).
cnf(i_0_1646,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,empty_set) ),
inference(scs_inference,[],[i_0_677,i_0_670,i_0_1616,i_0_188,i_0_1612,i_0_101,i_0_143,i_0_140,i_0_139]) ).
cnf(i_0_1647,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1648,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1649,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1650,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1651,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1652,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1653,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1654,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1655,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1656,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1657,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1658,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1659,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1660,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1661,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1662,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1664,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,empty_set)),
inference(equality_inference,[],[1645]) ).
cnf(i_0_1665,plain,
relation_inverse_image(esk9_0,X1) != powerset(X2),
inference(scs_inference,[],[i_0_670,i_0_355,i_0_143]) ).
cnf(i_0_1666,plain,
subset(relation_inverse_image(esk9_0,X1),X2),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_1667,plain,
( X1 != esk3_3(esk16_0,esk15_0,esk13_1(X2))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_670,i_0_355,i_0_1641,i_0_143,i_0_140]) ).
cnf(i_0_1668,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk11_0,X1)) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,esk13_1(X2)) ),
inference(scs_inference,[],[i_0_600,i_0_670,i_0_355,i_0_1641,i_0_143,i_0_140,i_0_139]) ).
cnf(i_0_1669,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1670,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1671,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1672,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1673,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1674,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1675,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1676,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1677,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1678,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1679,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1680,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1682,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk13_1(X1))),
inference(equality_inference,[],[1667]) ).
cnf(i_0_1683,plain,
relation_inverse_image(empty_set,X1) != powerset(X2),
inference(scs_inference,[],[i_0_670,i_0_660,i_0_143]) ).
cnf(i_0_1684,plain,
subset(relation_inverse_image(empty_set,X1),X2),
inference(rename_variables,[],[i_0_660]) ).
cnf(i_0_1685,plain,
( X1 != esk15_0
| ~ in(X1,esk8_1(esk15_0)) ),
inference(scs_inference,[],[i_0_670,i_0_660,i_0_1155,i_0_143,i_0_139]) ).
cnf(i_0_1686,plain,
( X1 != esk8_1(esk15_0)
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_670,i_0_660,i_0_1155,i_0_143,i_0_139,i_0_140]) ).
cnf(i_0_1687,plain,
( ~ relation(relation_dom(esk9_0))
| relation_inverse_image(esk11_0,X1) = relation_dom(relation_dom(esk9_0)) ),
inference(scs_inference,[],[i_0_158,i_0_359,i_0_670,i_0_660,i_0_1155,i_0_143,i_0_139,i_0_140,i_0_88]) ).
cnf(i_0_1688,plain,
~ in(X1,relation_dom(esk9_0)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_1689,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1690,plain,
( in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1)
| in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_1691,plain,
( ~ relation(relation_dom(esk9_0))
| relation_inverse_image(esk11_0,X1) = relation_inverse_image(relation_dom(esk9_0),X2) ),
inference(scs_inference,[],[i_0_158,i_0_1689,i_0_359,i_0_1688,i_0_670,i_0_660,i_0_1155,i_0_143,i_0_139,i_0_140,i_0_88,i_0_84]) ).
cnf(i_0_1692,plain,
~ in(X1,relation_dom(esk9_0)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_1693,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1694,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_1695,plain,
~ in(esk15_0,esk8_1(esk15_0)),
inference(equality_inference,[],[1685]) ).
cnf(i_0_1696,plain,
~ in(esk15_0,esk8_1(esk15_0)),
inference(equality_inference,[],[1686]) ).
cnf(i_0_1697,plain,
esk8_1(powerset(esk9_0)) != esk15_0,
inference(scs_inference,[],[i_0_708,i_0_1070,i_0_143]) ).
cnf(i_0_1698,plain,
subset(esk8_1(powerset(esk9_0)),X1),
inference(rename_variables,[],[i_0_1070]) ).
cnf(i_0_1699,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_dom(esk13_1(X2)))) ),
inference(scs_inference,[],[i_0_708,i_0_1070,i_0_1125,i_0_143,i_0_139]) ).
cnf(i_0_1700,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_dom(esk13_1(X2)))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_708,i_0_1070,i_0_1125,i_0_143,i_0_139,i_0_140]) ).
cnf(i_0_1701,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_dom(esk13_1(X1)))),
inference(equality_inference,[],[1699]) ).
cnf(i_0_1702,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_dom(esk13_1(X1)))),
inference(equality_inference,[],[1700]) ).
cnf(i_0_1703,plain,
esk8_1(powerset(empty_set)) != esk15_0,
inference(scs_inference,[],[i_0_748,i_0_1110,i_0_143]) ).
cnf(i_0_1704,plain,
subset(esk8_1(powerset(empty_set)),X1),
inference(rename_variables,[],[i_0_1110]) ).
cnf(i_0_1705,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk11_0,X2))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_748,i_0_1110,i_0_605,i_0_143,i_0_140]) ).
cnf(i_0_1706,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk11_0,X2)) ),
inference(scs_inference,[],[i_0_638,i_0_748,i_0_1110,i_0_605,i_0_143,i_0_140,i_0_139]) ).
cnf(i_0_1707,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1708,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1709,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1710,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1711,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1712,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1713,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1714,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1715,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1716,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1717,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1718,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1719,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1720,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1721,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1722,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1724,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk11_0,X1))),
inference(equality_inference,[],[1705]) ).
cnf(i_0_1725,plain,
esk8_1(powerset(esk11_0)) != esk15_0,
inference(scs_inference,[],[i_0_708,i_0_1138,i_0_143]) ).
cnf(i_0_1726,plain,
subset(esk8_1(powerset(esk11_0)),X1),
inference(rename_variables,[],[i_0_1138]) ).
cnf(i_0_1727,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_inverse_image(empty_set,X2))) ),
inference(scs_inference,[],[i_0_708,i_0_1138,i_0_809,i_0_143,i_0_139]) ).
cnf(i_0_1728,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_inverse_image(empty_set,X2))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_708,i_0_1138,i_0_809,i_0_143,i_0_139,i_0_140]) ).
cnf(i_0_1729,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(empty_set,X1))),
inference(equality_inference,[],[1727]) ).
cnf(i_0_1730,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(empty_set,X1))),
inference(equality_inference,[],[1728]) ).
cnf(i_0_1731,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)) != esk15_0,
inference(scs_inference,[],[i_0_748,i_0_296,i_0_143]) ).
cnf(i_0_1732,plain,
subset(relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)),X2),
inference(rename_variables,[],[i_0_296]) ).
cnf(i_0_1733,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk9_0,X2))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_748,i_0_296,i_0_853,i_0_143,i_0_140]) ).
cnf(i_0_1734,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk9_0,X2)) ),
inference(scs_inference,[],[i_0_677,i_0_748,i_0_296,i_0_853,i_0_143,i_0_140,i_0_139]) ).
cnf(i_0_1735,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1736,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1737,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1738,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1739,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1740,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1741,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1742,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1743,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1744,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1745,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1746,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1747,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1748,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1749,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1750,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1752,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk9_0,X1))),
inference(equality_inference,[],[1733]) ).
cnf(i_0_1753,plain,
relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1)) != esk15_0,
inference(scs_inference,[],[i_0_708,i_0_501,i_0_143]) ).
cnf(i_0_1754,plain,
subset(relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1)),X2),
inference(rename_variables,[],[i_0_501]) ).
cnf(i_0_1755,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2)))) ),
inference(scs_inference,[],[i_0_708,i_0_501,i_0_643,i_0_143,i_0_139]) ).
cnf(i_0_1756,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2)))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_708,i_0_501,i_0_643,i_0_143,i_0_139,i_0_140]) ).
cnf(i_0_1757,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1)))),
inference(equality_inference,[],[1755]) ).
cnf(i_0_1758,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1)))),
inference(equality_inference,[],[1756]) ).
cnf(i_0_1759,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X1)) != esk15_0,
inference(scs_inference,[],[i_0_748,i_0_741,i_0_143]) ).
cnf(i_0_1760,plain,
subset(relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X1)),X2),
inference(rename_variables,[],[i_0_741]) ).
cnf(i_0_1761,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2)))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_748,i_0_741,i_0_682,i_0_143,i_0_140]) ).
cnf(i_0_1762,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))) ),
inference(scs_inference,[],[i_0_638,i_0_748,i_0_741,i_0_682,i_0_143,i_0_140,i_0_139]) ).
cnf(i_0_1763,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1764,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1765,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1766,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1767,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1768,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1769,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1770,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1771,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1772,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1773,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1774,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1775,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1776,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1777,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1778,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1780,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)))),
inference(equality_inference,[],[1761]) ).
cnf(i_0_1781,plain,
relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1)) != esk15_0,
inference(scs_inference,[],[i_0_708,i_0_956,i_0_143]) ).
cnf(i_0_1782,plain,
subset(relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1)),X2),
inference(rename_variables,[],[i_0_956]) ).
cnf(i_0_1783,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X2)))) ),
inference(scs_inference,[],[i_0_708,i_0_956,i_0_1167,i_0_143,i_0_139]) ).
cnf(i_0_1784,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X2)))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_708,i_0_956,i_0_1167,i_0_143,i_0_139,i_0_140]) ).
cnf(i_0_1785,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X1)))),
inference(equality_inference,[],[1783]) ).
cnf(i_0_1786,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk9_0,X1)))),
inference(equality_inference,[],[1784]) ).
cnf(i_0_1787,plain,
relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X1)) != esk15_0,
inference(scs_inference,[],[i_0_748,i_0_997,i_0_143]) ).
cnf(i_0_1788,plain,
subset(relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X1)),X2),
inference(rename_variables,[],[i_0_997]) ).
cnf(i_0_1789,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X2)))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_748,i_0_997,i_0_1387,i_0_143,i_0_140]) ).
cnf(i_0_1790,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X2))) ),
inference(scs_inference,[],[i_0_677,i_0_748,i_0_997,i_0_1387,i_0_143,i_0_140,i_0_139]) ).
cnf(i_0_1791,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1792,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1793,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1794,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1795,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1796,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1797,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1798,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1799,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1800,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1801,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1802,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1803,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1804,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1805,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1806,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1808,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1)))),
inference(equality_inference,[],[1789]) ).
cnf(i_0_1809,plain,
relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1)) != powerset(X2),
inference(scs_inference,[],[i_0_670,i_0_1040,i_0_143]) ).
cnf(i_0_1810,plain,
subset(relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1)),X2),
inference(rename_variables,[],[i_0_1040]) ).
cnf(i_0_1811,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X2)))) ),
inference(scs_inference,[],[i_0_670,i_0_1040,i_0_1413,i_0_143,i_0_139]) ).
cnf(i_0_1812,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X2)))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_670,i_0_1040,i_0_1413,i_0_143,i_0_139,i_0_140]) ).
cnf(i_0_1813,plain,
( ~ relation(relation_dom(empty_set))
| esk15_0 != relation_dom(relation_dom(empty_set)) ),
inference(scs_inference,[],[i_0_302,i_0_600,i_0_670,i_0_1040,i_0_1413,i_0_143,i_0_139,i_0_140,i_0_85]) ).
cnf(i_0_1814,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_1815,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_1816,plain,
( ~ relation(relation_dom(empty_set))
| esk15_0 != relation_inverse_image(relation_dom(empty_set),X1) ),
inference(scs_inference,[],[i_0_302,i_0_1814,i_0_600,i_0_670,i_0_1040,i_0_1413,i_0_143,i_0_139,i_0_140,i_0_85,i_0_82]) ).
cnf(i_0_1817,plain,
~ in(X1,relation_dom(empty_set)),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_1818,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_1819,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X1)))),
inference(equality_inference,[],[1811]) ).
cnf(i_0_1820,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(empty_set,X1)))),
inference(equality_inference,[],[1812]) ).
cnf(i_0_1821,plain,
relation_dom(esk11_0) != powerset(X1),
inference(scs_inference,[],[i_0_670,i_0_452,i_0_143]) ).
cnf(i_0_1822,plain,
subset(relation_dom(esk11_0),X1),
inference(rename_variables,[],[i_0_452]) ).
cnf(i_0_1823,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X2)))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_670,i_0_452,i_0_1442,i_0_143,i_0_140]) ).
cnf(i_0_1824,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X2))) ),
inference(scs_inference,[],[i_0_638,i_0_670,i_0_452,i_0_1442,i_0_143,i_0_140,i_0_139]) ).
cnf(i_0_1825,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1826,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1827,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1828,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1829,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1830,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1831,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1832,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1833,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1834,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1835,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1836,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1837,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1838,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1840,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1)))),
inference(equality_inference,[],[1823]) ).
cnf(i_0_1841,plain,
relation_dom(empty_set) != powerset(X1),
inference(scs_inference,[],[i_0_670,i_0_533,i_0_143]) ).
cnf(i_0_1842,plain,
subset(relation_dom(empty_set),X1),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1843,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_dom(esk11_0))) ),
inference(scs_inference,[],[i_0_670,i_0_533,i_0_896,i_0_143,i_0_139]) ).
cnf(i_0_1844,plain,
( X1 != esk8_1(singleton(X2))
| ~ in(singleton(X2),X1) ),
inference(scs_inference,[],[i_0_670,i_0_533,i_0_347,i_0_896,i_0_143,i_0_139,i_0_140]) ).
cnf(i_0_1845,plain,
( ~ relation(relation_dom(esk9_0))
| esk15_0 != relation_dom(relation_dom(esk9_0)) ),
inference(scs_inference,[],[i_0_359,i_0_600,i_0_670,i_0_533,i_0_347,i_0_896,i_0_143,i_0_139,i_0_140,i_0_85]) ).
cnf(i_0_1846,plain,
~ in(X1,relation_dom(esk9_0)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_1847,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_1848,plain,
( ~ relation(relation_dom(esk9_0))
| esk15_0 != relation_inverse_image(relation_dom(esk9_0),X1) ),
inference(scs_inference,[],[i_0_359,i_0_1846,i_0_600,i_0_670,i_0_533,i_0_347,i_0_896,i_0_143,i_0_139,i_0_140,i_0_85,i_0_82]) ).
cnf(i_0_1849,plain,
~ in(X1,relation_dom(esk9_0)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_1850,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_1851,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_dom(esk11_0))),
inference(equality_inference,[],[1843]) ).
cnf(i_0_1852,plain,
~ in(singleton(X1),esk8_1(singleton(X1))),
inference(equality_inference,[],[1844]) ).
cnf(i_0_1853,plain,
relation_dom(esk9_0) != esk15_0,
inference(scs_inference,[],[i_0_708,i_0_621,i_0_143]) ).
cnf(i_0_1854,plain,
subset(relation_dom(esk9_0),X1),
inference(rename_variables,[],[i_0_621]) ).
cnf(i_0_1855,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_dom(esk11_0)))) ),
inference(scs_inference,[],[i_0_708,i_0_621,i_0_1298,i_0_143,i_0_139]) ).
cnf(i_0_1856,plain,
( X1 != esk8_1(powerset(X2))
| ~ in(powerset(X2),X1) ),
inference(scs_inference,[],[i_0_708,i_0_621,i_0_436,i_0_1298,i_0_143,i_0_139,i_0_140]) ).
cnf(i_0_1857,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_dom(esk11_0)))),
inference(equality_inference,[],[1855]) ).
cnf(i_0_1858,plain,
~ in(powerset(X1),esk8_1(powerset(X1))),
inference(equality_inference,[],[1856]) ).
cnf(i_0_1859,plain,
esk11_0 != powerset(X1),
inference(scs_inference,[],[i_0_670,i_0_1169,i_0_143]) ).
cnf(i_0_1860,plain,
subset(esk11_0,X1),
inference(rename_variables,[],[i_0_1169]) ).
cnf(i_0_1861,plain,
( X1 != esk8_1(esk14_0)
| ~ in(esk14_0,X1) ),
inference(scs_inference,[],[i_0_670,i_0_1169,i_0_397,i_0_143,i_0_140]) ).
cnf(i_0_1862,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))) != esk14_0
| esk15_0 != esk8_1(esk14_0) ),
inference(scs_inference,[],[i_0_677,i_0_670,i_0_1169,i_0_397,i_0_143,i_0_140,i_0_139]) ).
cnf(i_0_1863,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1864,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1865,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1866,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1867,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1868,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1869,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1870,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1871,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1872,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1873,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1874,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1875,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1876,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1877,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1879,plain,
~ in(esk14_0,esk8_1(esk14_0)),
inference(equality_inference,[],[1861]) ).
cnf(i_0_1880,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_dom(empty_set))) ),
inference(scs_inference,[],[i_0_1234,i_0_139]) ).
cnf(i_0_1881,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_dom(esk11_0)))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_1200,i_0_1234,i_0_139,i_0_140]) ).
cnf(i_0_1882,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_dom(empty_set))),
inference(equality_inference,[],[1880]) ).
cnf(i_0_1883,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_dom(esk11_0)))),
inference(equality_inference,[],[1881]) ).
cnf(i_0_1884,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_dom(esk9_0))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_1266,i_0_140]) ).
cnf(i_0_1885,plain,
( esk3_3(esk16_0,esk15_0,relation_inverse_image(esk11_0,X1)) != esk15_0
| esk15_0 != esk3_3(esk16_0,esk15_0,relation_dom(esk9_0)) ),
inference(scs_inference,[],[i_0_600,i_0_1266,i_0_140,i_0_139]) ).
cnf(i_0_1886,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1887,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1888,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1889,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1890,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1891,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1892,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1893,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1894,plain,
subset(esk9_0,X1),
inference(rename_variables,[],[i_0_1202]) ).
cnf(i_0_1895,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1896,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1897,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1898,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1900,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_dom(esk9_0))),
inference(equality_inference,[],[1884]) ).
cnf(i_0_1901,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_dom(empty_set)))) ),
inference(scs_inference,[],[i_0_1327,i_0_139]) ).
cnf(i_0_1902,plain,
( X1 != esk3_3(esk16_0,esk15_0,relation_inverse_image(esk13_1(X2),X3))
| ~ in(esk15_0,X1) ),
inference(scs_inference,[],[i_0_1327,i_0_1084,i_0_139,i_0_140]) ).
cnf(i_0_1903,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_dom(empty_set)))),
inference(equality_inference,[],[1901]) ).
cnf(i_0_1904,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk13_1(X1),X2))),
inference(equality_inference,[],[1902]) ).
cnf(i_0_1905,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_dom(empty_set)))) ),
inference(scs_inference,[],[i_0_1357,i_0_139]) ).
cnf(i_0_1906,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_dom(empty_set)))),
inference(equality_inference,[],[1905]) ).
cnf(i_0_1907,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,esk8_1(powerset(esk9_0)))) ),
inference(scs_inference,[],[i_0_1472,i_0_139]) ).
cnf(i_0_1908,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk8_1(powerset(esk9_0)))),
inference(equality_inference,[],[1907]) ).
cnf(i_0_1909,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,esk8_1(powerset(empty_set)))) ),
inference(scs_inference,[],[i_0_1500,i_0_139]) ).
cnf(i_0_1910,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk8_1(powerset(empty_set)))),
inference(equality_inference,[],[1909]) ).
cnf(i_0_1911,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,esk8_1(powerset(esk11_0)))) ),
inference(scs_inference,[],[i_0_1530,i_0_139]) ).
cnf(i_0_1912,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk8_1(powerset(esk11_0)))),
inference(equality_inference,[],[1911]) ).
cnf(i_0_1913,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,esk11_0)) ),
inference(scs_inference,[],[i_0_1560,i_0_139]) ).
cnf(i_0_1914,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk11_0)),
inference(equality_inference,[],[1913]) ).
cnf(i_0_1915,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,esk9_0)) ),
inference(scs_inference,[],[i_0_1585,i_0_139]) ).
cnf(i_0_1916,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk9_0)),
inference(equality_inference,[],[1915]) ).
cnf(i_0_1917,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,empty_set)) ),
inference(scs_inference,[],[i_0_1612,i_0_139]) ).
cnf(i_0_1918,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,empty_set)),
inference(equality_inference,[],[1917]) ).
cnf(i_0_1919,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,esk13_1(X2))) ),
inference(scs_inference,[],[i_0_1641,i_0_139]) ).
cnf(i_0_1920,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,esk13_1(X1))),
inference(equality_inference,[],[1919]) ).
cnf(i_0_1921,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk11_0,X2))) ),
inference(scs_inference,[],[i_0_605,i_0_139]) ).
cnf(i_0_1922,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk11_0,X1))),
inference(equality_inference,[],[1921]) ).
cnf(i_0_1923,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk9_0,X2))) ),
inference(scs_inference,[],[i_0_853,i_0_139]) ).
cnf(i_0_1924,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk9_0,X1))),
inference(equality_inference,[],[1923]) ).
cnf(i_0_1925,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2)))) ),
inference(scs_inference,[],[i_0_682,i_0_139]) ).
cnf(i_0_1926,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)))),
inference(equality_inference,[],[1925]) ).
cnf(i_0_1927,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X2)))) ),
inference(scs_inference,[],[i_0_1387,i_0_139]) ).
cnf(i_0_1928,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk16_0,relation_inverse_image(empty_set,X1)))),
inference(equality_inference,[],[1927]) ).
cnf(i_0_1929,plain,
( X1 != esk15_0
| ~ in(X1,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X2)))) ),
inference(scs_inference,[],[i_0_1442,i_0_139]) ).
cnf(i_0_1930,plain,
~ in(esk15_0,esk3_3(esk16_0,esk15_0,relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1)))),
inference(equality_inference,[],[1929]) ).
cnf(i_0_1931,plain,
subset(relation_inverse_image(esk16_0,relation_dom(esk13_1(esk11_0))),X1),
inference(scs_inference,[],[i_0_422,i_0_98]) ).
cnf(i_0_1932,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_dom(esk13_1(esk11_0)))),
inference(rename_variables,[],[i_0_422]) ).
cnf(i_0_1933,plain,
( in(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_1934,plain,
relation_inverse_image(esk16_0,relation_dom(esk13_1(esk11_0))) = relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)),
inference(scs_inference,[],[i_0_123,i_0_158,i_0_422,i_0_1932,i_0_98,i_0_89]) ).
cnf(i_0_1935,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_dom(esk13_1(esk11_0)))),
inference(rename_variables,[],[i_0_422]) ).
cnf(i_0_1936,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1937,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| in(esk3_3(X1,X2,X3),X2)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_1938,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)) = relation_inverse_image(esk16_0,relation_dom(esk13_1(esk11_0))),
inference(scs_inference,[],[i_0_123,i_0_158,i_0_422,i_0_1932,i_0_98,i_0_89,i_0_132]) ).
cnf(i_0_1939,plain,
( ~ relation(relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1)))
| ~ in(X2,relation_dom(relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1)))) ),
inference(scs_inference,[],[i_0_123,i_0_158,i_0_207,i_0_422,i_0_1932,i_0_98,i_0_89,i_0_132,i_0_148]) ).
cnf(i_0_1940,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_1941,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1)),singleton(X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_1942,plain,
( esk16_0 != relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))
| ~ in(X2,relation_dom(relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1)))) ),
inference(scs_inference,[],[i_0_123,i_0_158,i_0_207,i_0_422,i_0_1932,i_0_98,i_0_89,i_0_132,i_0_148,i_0_141]) ).
cnf(i_0_1943,plain,
( esk13_1(X1) != relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))
| ~ in(X3,relation_dom(relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2)))) ),
inference(scs_inference,[],[i_0_123,i_0_158,i_0_207,i_0_422,i_0_1932,i_0_98,i_0_89,i_0_132,i_0_148,i_0_141,i_0_293]) ).
cnf(i_0_1944,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1945,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1946,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1947,plain,
element(esk13_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_1948,plain,
~ empty(powerset(X1)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_1949,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_1950,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1951,plain,
subset(empty_set,X1),
inference(rename_variables,[],[i_0_1236]) ).
cnf(i_0_1952,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1953,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1954,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_1955,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_1956,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1957,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1958,plain,
~ in(X1,relation_inverse_image(esk11_0,X2)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_1959,plain,
~ in(X1,relation_inverse_image(esk9_0,X2)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_1960,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1961,plain,
~ in(X1,esk11_0),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_1963,plain,
unordered_pair(relation_dom(esk9_0),X1) = unordered_pair(relation_dom(empty_set),X1),
inference(scs_inference,[],[i_0_1300,i_0_134]) ).
cnf(i_0_1964,plain,
unordered_pair(X1,relation_dom(esk9_0)) = unordered_pair(X1,relation_dom(empty_set)),
inference(scs_inference,[],[i_0_1300,i_0_134,i_0_135]) ).
cnf(i_0_1965,plain,
relation_dom(relation_dom(esk9_0)) = relation_dom(relation_dom(empty_set)),
inference(scs_inference,[],[i_0_1300,i_0_134,i_0_135,i_0_138]) ).
cnf(i_0_1966,plain,
~ empty(esk10_1(esk12_0)),
inference(scs_inference,[],[i_0_1300,i_0_122,i_0_134,i_0_135,i_0_138,i_0_110]) ).
cnf(i_0_1967,plain,
( empty(X1)
| ~ empty(esk10_1(X1)) ),
inference(rename_variables,[],[i_0_110]) ).
cnf(i_0_1968,plain,
empty(relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_1300,i_0_122,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113]) ).
cnf(i_0_1969,plain,
( ~ empty(X1)
| empty(relation_dom(X1)) ),
inference(rename_variables,[],[i_0_113]) ).
cnf(i_0_1970,plain,
element(relation_inverse_image(esk16_0,relation_dom(esk13_1(esk11_0))),powerset(X1)),
inference(scs_inference,[],[i_0_1931,i_0_1300,i_0_122,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102]) ).
cnf(i_0_1971,plain,
( ~ subset(X1,X2)
| element(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_102]) ).
cnf(i_0_1972,plain,
~ in(esk4_2(relation_inverse_image(esk16_0,esk15_0),relation_dom(esk16_0)),relation_dom(esk16_0)),
inference(scs_inference,[],[i_0_97,i_0_1931,i_0_1300,i_0_122,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93]) ).
cnf(i_0_1973,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
inference(rename_variables,[],[i_0_93]) ).
cnf(i_0_1974,plain,
element(esk10_1(esk12_0),powerset(esk12_0)),
inference(scs_inference,[],[i_0_97,i_0_1931,i_0_1300,i_0_122,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105]) ).
cnf(i_0_1975,plain,
( empty(X1)
| element(esk10_1(X1),powerset(X1)) ),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_1976,plain,
esk11_0 = empty_set,
inference(scs_inference,[],[i_0_97,i_0_1931,i_0_1300,i_0_122,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120]) ).
cnf(i_0_1977,plain,
( ~ empty(X1)
| X1 = empty_set ),
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_1978,plain,
~ element(relation_inverse_image(esk16_0,esk15_0),powerset(relation_dom(esk16_0))),
inference(scs_inference,[],[i_0_97,i_0_1931,i_0_1300,i_0_122,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100]) ).
cnf(i_0_1979,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_1980,plain,
relation(relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_97,i_0_1931,i_0_1300,i_0_122,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112]) ).
cnf(i_0_1981,plain,
( ~ empty(X1)
| relation(relation_dom(X1)) ),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_1982,plain,
relation_inverse_image(X1,relation_dom(esk9_0)) = relation_inverse_image(X1,relation_dom(empty_set)),
inference(scs_inference,[],[i_0_97,i_0_1931,i_0_1300,i_0_122,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137]) ).
cnf(i_0_1983,plain,
relation_inverse_image(relation_dom(esk9_0),X1) = relation_inverse_image(relation_dom(empty_set),X1),
inference(scs_inference,[],[i_0_97,i_0_1931,i_0_1300,i_0_122,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136]) ).
cnf(i_0_1984,plain,
~ in(relation_inverse_image(esk16_0,esk15_0),powerset(relation_dom(esk16_0))),
inference(scs_inference,[],[i_0_97,i_0_1931,i_0_1300,i_0_122,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104]) ).
cnf(i_0_1985,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_1986,plain,
in(esk4_2(relation_inverse_image(esk16_0,esk15_0),relation_dom(esk16_0)),relation_inverse_image(esk16_0,esk15_0)),
inference(scs_inference,[],[i_0_97,i_0_1931,i_0_1300,i_0_122,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98]) ).
cnf(i_0_1987,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_1988,plain,
~ in(relation_inverse_image(esk16_0,esk15_0),esk4_2(relation_inverse_image(esk16_0,esk15_0),relation_dom(esk16_0))),
inference(scs_inference,[],[i_0_97,i_0_1931,i_0_1300,i_0_122,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101]) ).
cnf(i_0_1989,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_1990,plain,
esk14_0 != esk11_0,
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1931,i_0_1300,i_0_122,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132]) ).
cnf(i_0_1991,plain,
element(relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)),powerset(X2)),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1931,i_0_1934,i_0_1300,i_0_122,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145]) ).
cnf(i_0_1992,plain,
element(esk8_1(relation_inverse_image(esk16_0,relation_dom(esk13_1(esk11_0)))),relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1931,i_0_1934,i_0_1300,i_0_111,i_0_122,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146]) ).
cnf(i_0_1993,plain,
element(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_1994,plain,
~ empty(relation_dom(esk12_0)),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1931,i_0_1934,i_0_1300,i_0_111,i_0_122,i_0_124,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107]) ).
cnf(i_0_1995,plain,
( ~ relation(X1)
| empty(X1)
| ~ empty(relation_dom(X1)) ),
inference(rename_variables,[],[i_0_107]) ).
cnf(i_0_1996,plain,
~ in(relation_inverse_image(esk16_0,esk15_0),esk8_1(powerset(powerset(relation_dom(esk16_0))))),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1931,i_0_1934,i_0_1300,i_0_111,i_0_1993,i_0_122,i_0_124,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94]) ).
cnf(i_0_1997,plain,
element(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_1998,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_1999,plain,
~ in(X1,relation_dom(relation_dom(esk11_0))),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1931,i_0_1934,i_0_1300,i_0_111,i_0_1993,i_0_257,i_0_122,i_0_124,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148]) ).
cnf(i_0_2000,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_2001,plain,
( ~ relation(X1)
| ~ in(X2,relation_dom(X1))
| in(unordered_pair(unordered_pair(X2,esk5_3(X1,relation_dom(X1),X2)),singleton(X2)),X1) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_2002,plain,
~ element(esk15_0,powerset(esk11_0)),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1931,i_0_1934,i_0_1142,i_0_1300,i_0_111,i_0_1993,i_0_257,i_0_122,i_0_124,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95]) ).
cnf(i_0_2003,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_2004,plain,
~ in(X1,relation_inverse_image(relation_dom(esk11_0),X2)),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1931,i_0_1934,i_0_1142,i_0_1300,i_0_111,i_0_1993,i_0_257,i_0_2000,i_0_122,i_0_124,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147]) ).
cnf(i_0_2005,plain,
~ in(X1,relation_dom(esk11_0)),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_2006,plain,
( ~ relation(X1)
| ~ in(X2,relation_inverse_image(X1,X3))
| in(unordered_pair(unordered_pair(X2,esk1_4(X1,X3,relation_inverse_image(X1,X3),X2)),singleton(X2)),X1) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_2007,plain,
in(esk8_1(esk10_1(esk12_0)),esk10_1(esk12_0)),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1931,i_0_1934,i_0_1142,i_0_1300,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_122,i_0_124,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103]) ).
cnf(i_0_2008,plain,
element(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_2009,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_2010,plain,
esk15_0 != relation_inverse_image(esk16_0,relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1008,i_0_1931,i_0_1934,i_0_1142,i_0_1300,i_0_1205,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_122,i_0_124,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133]) ).
cnf(i_0_2011,plain,
esk11_0 != esk10_1(esk12_0),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1008,i_0_1931,i_0_1934,i_0_1142,i_0_1300,i_0_1205,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_122,i_0_124,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142]) ).
cnf(i_0_2012,plain,
subset(relation_inverse_image(esk16_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))),X2),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1008,i_0_1931,i_0_1934,i_0_1142,i_0_1300,i_0_1205,i_0_511,i_0_188,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_122,i_0_124,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143]) ).
cnf(i_0_2013,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(esk16_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X2))),
inference(rename_variables,[],[i_0_511]) ).
cnf(i_0_2014,plain,
in(esk8_1(unordered_pair(X1,X2)),unordered_pair(X2,X1)),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1008,i_0_1931,i_0_1934,i_0_1142,i_0_1300,i_0_1205,i_0_511,i_0_188,i_0_108,i_0_263,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_122,i_0_124,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143,i_0_140]) ).
cnf(i_0_2015,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_108]) ).
cnf(i_0_2016,plain,
esk15_0 != relation_inverse_image(empty_set,relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)))),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1008,i_0_1931,i_0_1934,i_0_328,i_0_1142,i_0_1300,i_0_1205,i_0_511,i_0_188,i_0_108,i_0_263,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_122,i_0_126,i_0_124,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143,i_0_140,i_0_87]) ).
cnf(i_0_2017,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2)))),
inference(rename_variables,[],[i_0_328]) ).
cnf(i_0_2018,plain,
( in(esk1_4(X1,X2,X3,X4),X2)
| ~ in(X4,X3)
| ~ relation(X1)
| X3 != relation_inverse_image(X1,X2) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_2019,plain,
in(esk2_3(empty_set,relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))),powerset(X2)),powerset(X2)),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1008,i_0_289,i_0_1931,i_0_1934,i_0_328,i_0_2017,i_0_1142,i_0_1300,i_0_1205,i_0_511,i_0_188,i_0_108,i_0_263,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_122,i_0_126,i_0_124,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143,i_0_140,i_0_87,i_0_89]) ).
cnf(i_0_2020,plain,
powerset(X1) != relation_inverse_image(empty_set,X2),
inference(rename_variables,[],[i_0_289]) ).
cnf(i_0_2021,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2)))),
inference(rename_variables,[],[i_0_328]) ).
cnf(i_0_2022,plain,
( X1 = relation_inverse_image(X2,X3)
| in(esk3_3(X2,X3,X1),X3)
| ~ relation(X2)
| in(esk2_3(X2,X3,X1),X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_2023,plain,
relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1)) = relation_dom(empty_set),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1008,i_0_289,i_0_1931,i_0_1934,i_0_328,i_0_2017,i_0_1142,i_0_1300,i_0_1205,i_0_511,i_0_188,i_0_108,i_0_263,i_0_1001,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_254,i_0_122,i_0_126,i_0_124,i_0_127,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143,i_0_140,i_0_87,i_0_89,i_0_88]) ).
cnf(i_0_2024,plain,
~ in(X1,relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X2))),
inference(rename_variables,[],[i_0_1001]) ).
cnf(i_0_2025,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_2026,plain,
( in(esk6_2(X1,X2),X2)
| X2 = relation_dom(X1)
| ~ relation(X1)
| in(unordered_pair(unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),singleton(esk6_2(X1,X2))),X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_2027,plain,
in(unordered_pair(unordered_pair(esk2_3(esk16_0,esk15_0,empty_set),esk3_3(esk16_0,esk15_0,empty_set)),singleton(esk2_3(esk16_0,esk15_0,empty_set))),esk16_0),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1008,i_0_289,i_0_1931,i_0_1934,i_0_328,i_0_2017,i_0_1142,i_0_1300,i_0_1205,i_0_1360,i_0_511,i_0_188,i_0_108,i_0_263,i_0_1001,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_254,i_0_2025,i_0_122,i_0_126,i_0_124,i_0_127,i_0_123,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143,i_0_140,i_0_87,i_0_89,i_0_88,i_0_84]) ).
cnf(i_0_2028,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_2029,plain,
( in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2)
| ~ relation(X1)
| in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_2030,plain,
~ in(esk15_0,esk8_1(powerset(powerset(esk11_0)))),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1008,i_0_289,i_0_1931,i_0_1934,i_0_328,i_0_2017,i_0_1142,i_0_1300,i_0_1205,i_0_1360,i_0_511,i_0_188,i_0_108,i_0_263,i_0_1001,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_254,i_0_2025,i_0_122,i_0_126,i_0_124,i_0_127,i_0_123,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143,i_0_140,i_0_87,i_0_89,i_0_88,i_0_84,i_0_244]) ).
cnf(i_0_2031,plain,
( element(X1,X2)
| ~ in(X1,esk8_1(powerset(X2))) ),
inference(rename_variables,[],[i_0_244]) ).
cnf(i_0_2032,plain,
esk16_0 != esk8_1(unordered_pair(unordered_pair(esk2_3(esk16_0,esk15_0,empty_set),esk3_3(esk16_0,esk15_0,empty_set)),singleton(esk2_3(esk16_0,esk15_0,empty_set)))),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1008,i_0_289,i_0_1931,i_0_1934,i_0_328,i_0_2017,i_0_1142,i_0_1300,i_0_1205,i_0_1360,i_0_511,i_0_188,i_0_108,i_0_263,i_0_1001,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_254,i_0_2025,i_0_122,i_0_126,i_0_124,i_0_127,i_0_123,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143,i_0_140,i_0_87,i_0_89,i_0_88,i_0_84,i_0_244,i_0_1214]) ).
cnf(i_0_2033,plain,
esk15_0 != relation_inverse_image(relation_dom(esk11_0),X1),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1008,i_0_289,i_0_1931,i_0_1934,i_0_328,i_0_2017,i_0_1142,i_0_1300,i_0_1205,i_0_1360,i_0_511,i_0_188,i_0_108,i_0_263,i_0_1001,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_254,i_0_2025,i_0_122,i_0_126,i_0_124,i_0_127,i_0_123,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143,i_0_140,i_0_87,i_0_89,i_0_88,i_0_84,i_0_244,i_0_1214,i_0_1488]) ).
cnf(i_0_2034,plain,
~ empty(relation_inverse_image(esk16_0,esk15_0)),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_1008,i_0_289,i_0_1931,i_0_1934,i_0_328,i_0_2017,i_0_1142,i_0_1300,i_0_1205,i_0_1360,i_0_511,i_0_188,i_0_108,i_0_263,i_0_1001,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_254,i_0_2025,i_0_122,i_0_126,i_0_124,i_0_127,i_0_123,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143,i_0_140,i_0_87,i_0_89,i_0_88,i_0_84,i_0_244,i_0_1214,i_0_1488,i_0_106]) ).
cnf(i_0_2035,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(rename_variables,[],[i_0_106]) ).
cnf(i_0_2036,plain,
~ empty(esk16_0),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_396,i_0_1008,i_0_289,i_0_1931,i_0_1934,i_0_328,i_0_2017,i_0_1142,i_0_1300,i_0_1205,i_0_1360,i_0_511,i_0_188,i_0_108,i_0_263,i_0_1001,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_254,i_0_2025,i_0_122,i_0_126,i_0_124,i_0_127,i_0_123,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143,i_0_140,i_0_87,i_0_89,i_0_88,i_0_84,i_0_244,i_0_1214,i_0_1488,i_0_106,i_0_116]) ).
cnf(i_0_2037,plain,
( X1 = X2
| ~ empty(X2)
| ~ empty(X1) ),
inference(rename_variables,[],[i_0_116]) ).
cnf(i_0_2038,plain,
in(esk1_4(esk16_0,esk15_0,relation_inverse_image(esk16_0,esk15_0),esk4_2(relation_inverse_image(esk16_0,esk15_0),relation_dom(esk16_0))),esk15_0),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_396,i_0_1008,i_0_289,i_0_1931,i_0_1934,i_0_328,i_0_2017,i_0_1142,i_0_1300,i_0_1205,i_0_1360,i_0_511,i_0_188,i_0_108,i_0_263,i_0_1001,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_254,i_0_2025,i_0_122,i_0_126,i_0_124,i_0_127,i_0_123,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143,i_0_140,i_0_87,i_0_89,i_0_88,i_0_84,i_0_244,i_0_1214,i_0_1488,i_0_106,i_0_116,i_0_149]) ).
cnf(i_0_2039,plain,
( ~ in(X1,relation_inverse_image(X2,X3))
| in(esk1_4(X2,X3,relation_inverse_image(X2,X3),X1),X3)
| ~ relation(X2) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_2040,plain,
( relation(relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1)))
| ~ relation(relation_inverse_image(esk16_0,relation_dom(esk13_1(esk11_0)))) ),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_396,i_0_1008,i_0_289,i_0_1931,i_0_1934,i_0_328,i_0_2017,i_0_1142,i_0_1300,i_0_1205,i_0_1360,i_0_511,i_0_188,i_0_108,i_0_263,i_0_1001,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_254,i_0_2025,i_0_122,i_0_126,i_0_124,i_0_127,i_0_123,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143,i_0_140,i_0_87,i_0_89,i_0_88,i_0_84,i_0_244,i_0_1214,i_0_1488,i_0_106,i_0_116,i_0_149,i_0_141]) ).
cnf(i_0_2041,plain,
esk2_3(empty_set,relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))),powerset(relation_dom(esk16_0))) != relation_inverse_image(esk16_0,esk15_0),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_396,i_0_1008,i_0_289,i_0_1931,i_0_1934,i_0_328,i_0_2017,i_0_1142,i_0_1300,i_0_1205,i_0_1360,i_0_511,i_0_188,i_0_108,i_0_263,i_0_1001,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_254,i_0_2025,i_0_122,i_0_126,i_0_124,i_0_127,i_0_123,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143,i_0_140,i_0_87,i_0_89,i_0_88,i_0_84,i_0_244,i_0_1214,i_0_1488,i_0_106,i_0_116,i_0_149,i_0_141,i_0_139]) ).
cnf(i_0_2042,plain,
relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X1))) != relation_dom(esk16_0),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_396,i_0_1008,i_0_289,i_0_1931,i_0_1934,i_0_328,i_0_2017,i_0_2021,i_0_1142,i_0_1300,i_0_1205,i_0_1360,i_0_511,i_0_188,i_0_108,i_0_263,i_0_1001,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_254,i_0_2025,i_0_122,i_0_126,i_0_124,i_0_127,i_0_123,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143,i_0_140,i_0_87,i_0_89,i_0_88,i_0_84,i_0_244,i_0_1214,i_0_1488,i_0_106,i_0_116,i_0_149,i_0_141,i_0_139,i_0_91]) ).
cnf(i_0_2043,plain,
~ in(X1,relation_inverse_image(esk16_0,relation_inverse_image(esk16_0,relation_inverse_image(esk11_0,X2)))),
inference(rename_variables,[],[i_0_328]) ).
cnf(i_0_2044,plain,
( ~ relation(X1)
| in(X2,X3)
| X3 != relation_dom(X1)
| ~ in(unordered_pair(unordered_pair(X2,X4),singleton(X2)),X1) ),
inference(rename_variables,[],[i_0_91]) ).
cnf(i_0_2045,plain,
esk15_0 != relation_dom(empty_set),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_396,i_0_1008,i_0_289,i_0_1931,i_0_1934,i_0_328,i_0_2017,i_0_2021,i_0_1142,i_0_1300,i_0_1205,i_0_1360,i_0_511,i_0_188,i_0_108,i_0_263,i_0_1001,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_254,i_0_2025,i_0_2028,i_0_122,i_0_126,i_0_124,i_0_127,i_0_123,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143,i_0_140,i_0_87,i_0_89,i_0_88,i_0_84,i_0_244,i_0_1214,i_0_1488,i_0_106,i_0_116,i_0_149,i_0_141,i_0_139,i_0_91,i_0_85]) ).
cnf(i_0_2046,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_2047,plain,
( ~ relation(X1)
| ~ in(X2,X3)
| X3 != relation_dom(X1)
| in(unordered_pair(unordered_pair(X2,esk5_3(X1,X3,X2)),singleton(X2)),X1) ),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_2048,plain,
esk15_0 != relation_inverse_image(empty_set,X1),
inference(scs_inference,[],[i_0_97,i_0_173,i_0_396,i_0_1008,i_0_289,i_0_1931,i_0_1934,i_0_328,i_0_2017,i_0_2021,i_0_1142,i_0_1300,i_0_1205,i_0_1360,i_0_511,i_0_188,i_0_108,i_0_263,i_0_1001,i_0_111,i_0_1993,i_0_1997,i_0_257,i_0_2000,i_0_254,i_0_2025,i_0_2028,i_0_2046,i_0_122,i_0_126,i_0_124,i_0_127,i_0_123,i_0_134,i_0_135,i_0_138,i_0_110,i_0_113,i_0_102,i_0_93,i_0_105,i_0_120,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_145,i_0_146,i_0_107,i_0_94,i_0_148,i_0_95,i_0_147,i_0_103,i_0_133,i_0_142,i_0_143,i_0_140,i_0_87,i_0_89,i_0_88,i_0_84,i_0_244,i_0_1214,i_0_1488,i_0_106,i_0_116,i_0_149,i_0_141,i_0_139,i_0_91,i_0_85,i_0_82]) ).
cnf(i_0_2049,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_2050,plain,
( ~ relation(X1)
| ~ in(X2,X3)
| X3 != relation_inverse_image(X1,X4)
| in(unordered_pair(unordered_pair(X2,esk1_4(X1,X4,X3,X2)),singleton(X2)),X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_2051,plain,
( ~ in(X1,relation_dom(relation_inverse_image(esk11_0,X2)))
| powerset(X3) != relation_inverse_image(relation_dom(esk11_0),X4) ),
inference(scs_inference,[],[i_0_1980,i_0_1137]) ).
cnf(i_0_2052,plain,
esk15_0 != relation_dom(relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_1980,i_0_1485]) ).
cnf(i_0_2053,plain,
relation_inverse_image(esk11_0,X1) = relation_dom(relation_dom(esk11_0)),
inference(scs_inference,[],[i_0_1980,i_0_1491]) ).
cnf(i_0_2054,plain,
relation_inverse_image(esk11_0,X1) = relation_inverse_image(relation_dom(esk11_0),X2),
inference(scs_inference,[],[i_0_1980,i_0_1495]) ).
cnf(i_0_2055,plain,
~ empty(esk10_1(esk16_0)),
inference(scs_inference,[],[i_0_2036,i_0_110]) ).
cnf(i_0_2056,plain,
( empty(X1)
| ~ empty(esk10_1(X1)) ),
inference(rename_variables,[],[i_0_110]) ).
cnf(i_0_2057,plain,
empty(relation_dom(relation_dom(esk11_0))),
inference(scs_inference,[],[i_0_2036,i_0_1968,i_0_110,i_0_113]) ).
cnf(i_0_2058,plain,
( ~ empty(X1)
| empty(relation_dom(X1)) ),
inference(rename_variables,[],[i_0_113]) ).
cnf(i_0_2059,plain,
element(relation_inverse_image(esk16_0,relation_inverse_image(esk12_0,relation_inverse_image(esk11_0,X1))),powerset(X2)),
inference(scs_inference,[],[i_0_2036,i_0_1968,i_0_2012,i_0_110,i_0_113,i_0_102]) ).
cnf(i_0_2060,plain,
( ~ subset(X1,X2)
| element(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_102]) ).
cnf(i_0_2061,plain,
element(esk10_1(esk16_0),powerset(esk16_0)),
inference(scs_inference,[],[i_0_2036,i_0_1968,i_0_2012,i_0_110,i_0_113,i_0_102,i_0_105]) ).
cnf(i_0_2062,plain,
( empty(X1)
| element(esk10_1(X1),powerset(X1)) ),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2063,plain,
relation_dom(esk11_0) = empty_set,
inference(scs_inference,[],[i_0_2036,i_0_1968,i_0_2012,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120]) ).
cnf(i_0_2064,plain,
( ~ empty(X1)
| X1 = empty_set ),
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_2065,plain,
unordered_pair(esk11_0,X1) = unordered_pair(empty_set,X1),
inference(scs_inference,[],[i_0_1976,i_0_2036,i_0_1968,i_0_2012,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134]) ).
cnf(i_0_2066,plain,
unordered_pair(X1,esk11_0) = unordered_pair(X1,empty_set),
inference(scs_inference,[],[i_0_1976,i_0_2036,i_0_1968,i_0_2012,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135]) ).
cnf(i_0_2067,plain,
relation_dom(relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1))) = relation_dom(relation_dom(empty_set)),
inference(scs_inference,[],[i_0_1976,i_0_2036,i_0_1968,i_0_2023,i_0_2012,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138]) ).
cnf(i_0_2068,plain,
~ element(esk14_0,powerset(relation_inverse_image(esk9_0,X1))),
inference(scs_inference,[],[i_0_1976,i_0_2036,i_0_1968,i_0_2023,i_0_2012,i_0_1301,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138,i_0_100]) ).
cnf(i_0_2069,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_2070,plain,
relation(relation_dom(relation_dom(esk11_0))),
inference(scs_inference,[],[i_0_1976,i_0_2036,i_0_1968,i_0_2023,i_0_2012,i_0_1301,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138,i_0_100,i_0_112]) ).
cnf(i_0_2071,plain,
( ~ empty(X1)
| relation(relation_dom(X1)) ),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_2072,plain,
relation_inverse_image(X1,esk11_0) = relation_inverse_image(X1,empty_set),
inference(scs_inference,[],[i_0_1976,i_0_2036,i_0_1968,i_0_2023,i_0_2012,i_0_1301,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138,i_0_100,i_0_112,i_0_137]) ).
cnf(i_0_2073,plain,
relation_inverse_image(relation_inverse_image(esk12_0,relation_inverse_image(esk9_0,X1)),X2) = relation_inverse_image(relation_dom(empty_set),X2),
inference(scs_inference,[],[i_0_1976,i_0_2036,i_0_1968,i_0_2023,i_0_2012,i_0_1301,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138,i_0_100,i_0_112,i_0_137,i_0_136]) ).
cnf(i_0_2074,plain,
~ in(esk15_0,powerset(esk11_0)),
inference(scs_inference,[],[i_0_1976,i_0_2036,i_0_1968,i_0_2002,i_0_2023,i_0_2012,i_0_1301,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104]) ).
cnf(i_0_2075,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_2076,plain,
in(esk4_2(esk14_0,relation_inverse_image(esk9_0,X1)),esk14_0),
inference(scs_inference,[],[i_0_1976,i_0_2036,i_0_1968,i_0_2002,i_0_2023,i_0_2012,i_0_1301,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98]) ).
cnf(i_0_2077,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_2078,plain,
~ in(esk10_1(esk12_0),esk8_1(esk10_1(esk12_0))),
inference(scs_inference,[],[i_0_1976,i_0_2036,i_0_1968,i_0_2002,i_0_2007,i_0_2023,i_0_2012,i_0_1301,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101]) ).
cnf(i_0_2079,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_2080,plain,
esk14_0 != esk9_0,
inference(scs_inference,[],[i_0_378,i_0_1976,i_0_2036,i_0_1968,i_0_2002,i_0_2007,i_0_2023,i_0_2012,i_0_1301,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132]) ).
cnf(i_0_2081,plain,
~ in(unordered_pair(unordered_pair(esk4_2(relation_inverse_image(esk16_0,esk15_0),relation_dom(esk16_0)),X1),singleton(esk4_2(relation_inverse_image(esk16_0,esk15_0),relation_dom(esk16_0)))),esk16_0),
inference(scs_inference,[],[i_0_378,i_0_1976,i_0_2036,i_0_1968,i_0_2002,i_0_1972,i_0_2007,i_0_2023,i_0_2012,i_0_1301,i_0_123,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_151]) ).
cnf(i_0_2082,plain,
( ~ relation(X1)
| in(X2,relation_dom(X1))
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1) ),
inference(rename_variables,[],[i_0_151]) ).
cnf(i_0_2083,plain,
~ empty(relation_dom(esk16_0)),
inference(scs_inference,[],[i_0_378,i_0_1976,i_0_2036,i_0_1968,i_0_2002,i_0_1972,i_0_2007,i_0_2023,i_0_2012,i_0_1301,i_0_123,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_151,i_0_107]) ).
cnf(i_0_2084,plain,
( empty(X1)
| ~ relation(X1)
| ~ empty(relation_dom(X1)) ),
inference(rename_variables,[],[i_0_107]) ).
cnf(i_0_2085,plain,
element(relation_inverse_image(esk11_0,X1),powerset(X2)),
inference(scs_inference,[],[i_0_378,i_0_1976,i_0_2036,i_0_1968,i_0_2002,i_0_1972,i_0_2007,i_0_2023,i_0_1970,i_0_2012,i_0_1301,i_0_1474,i_0_123,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_151,i_0_107,i_0_145]) ).
cnf(i_0_2086,plain,
element(esk8_1(esk11_0),empty_set),
inference(scs_inference,[],[i_0_378,i_0_1976,i_0_2036,i_0_1968,i_0_2002,i_0_1972,i_0_2007,i_0_2023,i_0_1970,i_0_2012,i_0_1301,i_0_1474,i_0_111,i_0_123,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_151,i_0_107,i_0_145,i_0_146]) ).
cnf(i_0_2087,plain,
element(esk8_1(X1),X1),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_2088,plain,
element(esk8_1(esk10_1(esk12_0)),esk12_0),
inference(scs_inference,[],[i_0_378,i_0_1976,i_0_2036,i_0_1968,i_0_1974,i_0_2002,i_0_1972,i_0_2007,i_0_2023,i_0_1970,i_0_2012,i_0_1301,i_0_1474,i_0_111,i_0_123,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_151,i_0_107,i_0_145,i_0_146,i_0_94]) ).
cnf(i_0_2089,plain,
( ~ in(X1,X2)
| element(X1,X3)
| ~ element(X2,powerset(X3)) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_2090,plain,
~ in(esk4_2(relation_inverse_image(esk16_0,esk15_0),relation_dom(esk16_0)),esk8_1(powerset(relation_dom(esk16_0)))),
inference(scs_inference,[],[i_0_378,i_0_1976,i_0_2036,i_0_1968,i_0_1974,i_0_2002,i_0_1972,i_0_2007,i_0_2023,i_0_1970,i_0_2012,i_0_1301,i_0_1474,i_0_191,i_0_111,i_0_123,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_151,i_0_107,i_0_145,i_0_146,i_0_94,i_0_96]) ).
cnf(i_0_2091,plain,
subset(esk8_1(powerset(X1)),X1),
inference(rename_variables,[],[i_0_191]) ).
cnf(i_0_2092,plain,
( ~ subset(X1,X2)
| in(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_2093,plain,
~ element(unordered_pair(X1,X2),powerset(relation_dom(esk11_0))),
inference(scs_inference,[],[i_0_378,i_0_1976,i_0_2036,i_0_1968,i_0_1974,i_0_2002,i_0_2014,i_0_1972,i_0_2007,i_0_2023,i_0_1970,i_0_2012,i_0_1301,i_0_1474,i_0_191,i_0_111,i_0_123,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_151,i_0_107,i_0_145,i_0_146,i_0_94,i_0_96,i_0_95]) ).
cnf(i_0_2094,plain,
( ~ in(X1,X2)
| ~ empty(X3)
| ~ element(X2,powerset(X3)) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_2095,plain,
$false,
inference(scs_inference,[],[i_0_378,i_0_1976,i_0_2036,i_0_1968,i_0_1974,i_0_2002,i_0_2014,i_0_1986,i_0_1972,i_0_2007,i_0_2023,i_0_1970,i_0_2012,i_0_1301,i_0_1474,i_0_191,i_0_111,i_0_123,i_0_110,i_0_113,i_0_102,i_0_105,i_0_120,i_0_134,i_0_135,i_0_138,i_0_100,i_0_112,i_0_137,i_0_136,i_0_104,i_0_98,i_0_101,i_0_132,i_0_151,i_0_107,i_0_145,i_0_146,i_0_94,i_0_96,i_0_95,i_0_147]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU209+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n026.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 02:48:38 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 49.35/25.68 % Version : CSE_E---1.7
% 49.35/25.68 % Problem : theBenchmark.p
% 49.35/25.68 % SZS status Theorem for theBenchmark.p
% 49.35/25.68 % SZS output start CNFRefutation
% See solution above
% 55.30/28.67 % Total time : 25.331s
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