%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET594+3 : TPTP v9.2.1. Released v2.2.0.
% 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 : n028.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 05:08:04 PM UTC 2026
% Result : Theorem 56.14s 30.67s
% Output : CNFRefutation 59.29s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 35)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th53,conjecture,
! [X1,X2,X3] :
( union(intersection(X1,X2),intersection(X1,X3)) = X1
=> subset(X1,union(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th53) ).
fof(equal_member_defn,axiom,
! [X1,X2] :
( X1 = X2
<=> ! [X3] :
( member(X3,X1)
<=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
fof(union_defn,axiom,
! [X1,X2,X3] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(intersection_defn,axiom,
! [X1,X2,X3] :
( member(X3,intersection(X1,X2))
<=> ( member(X3,X1)
& member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(subset_defn,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(equal_defn,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
fof(commutativity_of_intersection,axiom,
! [X1,X2] : intersection(X1,X2) = intersection(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_intersection) ).
fof(commutativity_of_union,axiom,
! [X1,X2] : union(X1,X2) = union(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_union) ).
fof(reflexivity_of_subset,axiom,
! [X1] : subset(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_subset) ).
fof(i_0_9,negated_conjecture,
~ ! [X1,X2,X3] :
( union(intersection(X1,X2),intersection(X1,X3)) = X1
=> subset(X1,union(X2,X3)) ),
inference(assume_negation,[status(cth)],[prove_th53]) ).
fof(i_0_10,plain,
! [X45,X46,X47,X48,X49,X50] :
( ( ~ member(X47,X45)
| member(X47,X46)
| X45 != X46 )
& ( ~ member(X48,X46)
| member(X48,X45)
| X45 != X46 )
& ( ~ member(esk2_2(X49,X50),X49)
| ~ member(esk2_2(X49,X50),X50)
| X49 = X50 )
& ( member(esk2_2(X49,X50),X49)
| member(esk2_2(X49,X50),X50)
| X49 = X50 ) ),
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)],[equal_member_defn])])])])])]) ).
fof(i_0_11,plain,
! [X32,X33,X34] :
( ( ~ member(X34,union(X32,X33))
| member(X34,X32)
| member(X34,X33) )
& ( ~ member(X34,X32)
| member(X34,union(X32,X33)) )
& ( ~ member(X34,X33)
| member(X34,union(X32,X33)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union_defn])])]) ).
fof(i_0_12,plain,
! [X35,X36,X37] :
( ( member(X37,X35)
| ~ member(X37,intersection(X35,X36)) )
& ( member(X37,X36)
| ~ member(X37,intersection(X35,X36)) )
& ( ~ member(X37,X35)
| ~ member(X37,X36)
| member(X37,intersection(X35,X36)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection_defn])])]) ).
fof(i_0_13,plain,
! [X26,X27,X28,X29,X30] :
( ( ~ subset(X26,X27)
| ~ member(X28,X26)
| member(X28,X27) )
& ( member(esk1_2(X29,X30),X29)
| subset(X29,X30) )
& ( ~ member(esk1_2(X29,X30),X30)
| subset(X29,X30) ) ),
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)],[subset_defn])])])])])]) ).
fof(i_0_14,negated_conjecture,
( union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)) = esk3_0
& ~ subset(esk3_0,union(esk4_0,esk5_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_9])])]) ).
fof(i_0_15,plain,
! [X38,X39] :
( ( subset(X38,X39)
| X38 != X39 )
& ( subset(X39,X38)
| X38 != X39 )
& ( ~ subset(X38,X39)
| ~ subset(X39,X38)
| X38 = X39 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_defn])])]) ).
fof(i_0_16,plain,
! [X42,X43] : intersection(X42,X43) = intersection(X43,X42),
inference(variable_rename,[status(thm)],[commutativity_of_intersection]) ).
fof(i_0_17,plain,
! [X40,X41] : union(X40,X41) = union(X41,X40),
inference(variable_rename,[status(thm)],[commutativity_of_union]) ).
fof(i_0_18,plain,
! [X44] : subset(X44,X44),
inference(variable_rename,[status(thm)],[reflexivity_of_subset]) ).
cnf(i_0_19,plain,
( X1 = X2
| ~ member(esk2_2(X1,X2),X1)
| ~ member(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_20,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_11]),
[final] ).
cnf(i_0_21,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X2)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_12]),
[final] ).
cnf(i_0_22,plain,
( member(esk2_2(X1,X2),X1)
| member(esk2_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_23,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_24,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_12]),
[final] ).
cnf(i_0_25,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_12]),
[final] ).
cnf(i_0_26,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_11]),
[final] ).
cnf(i_0_27,plain,
( member(X1,union(X3,X2))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_11]),
[final] ).
cnf(i_0_28,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_29,plain,
( member(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_30,negated_conjecture,
union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)) = esk3_0,
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_31,negated_conjecture,
~ subset(esk3_0,union(esk4_0,esk5_0)),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_32,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_33,plain,
intersection(X1,X2) = intersection(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_34,plain,
union(X1,X2) = union(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_35,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_36,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_37,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_38,axiom,
X1 = X1 ).
cnf(i_0_39,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_40,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_41,axiom,
( X1 != X2
| union(X1,X3) = union(X2,X3) ) ).
cnf(i_0_42,axiom,
( X1 != X2
| union(X3,X1) = union(X3,X2) ) ).
cnf(i_0_43,axiom,
( X1 != X2
| intersection(X1,X3) = intersection(X2,X3) ) ).
cnf(i_0_44,axiom,
( X1 != X2
| intersection(X3,X1) = intersection(X3,X2) ) ).
cnf(i_0_45,axiom,
( X1 != X2
| ~ member(X1,X3)
| member(X2,X3) ) ).
cnf(i_0_46,axiom,
( X1 != X2
| ~ member(X3,X1)
| member(X3,X2) ) ).
cnf(i_0_47,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_48,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_38_001,axiom,
X1 = X1 ).
cnf(i_0_39_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_40_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_41_004,axiom,
( X1 != X2
| union(X1,X3) = union(X2,X3) ) ).
cnf(i_0_42_005,axiom,
( X1 != X2
| union(X3,X1) = union(X3,X2) ) ).
cnf(i_0_43_006,axiom,
( X1 != X2
| intersection(X1,X3) = intersection(X2,X3) ) ).
cnf(i_0_44_007,axiom,
( X1 != X2
| intersection(X3,X1) = intersection(X3,X2) ) ).
cnf(i_0_45_008,axiom,
( X1 != X2
| ~ member(X1,X3)
| member(X2,X3) ) ).
cnf(i_0_46_009,axiom,
( X1 != X2
| ~ member(X3,X1)
| member(X3,X2) ) ).
cnf(i_0_47_010,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_48_011,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_49,plain,
subset(X1,X1),
inference(equality_inference,[],[35]) ).
cnf(i_0_50,plain,
subset(X1,X1),
inference(equality_inference,[],[36]) ).
cnf(i_0_51,plain,
subset(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),esk3_0),
inference(scs_inference,[],[i_0_30,i_0_35]) ).
cnf(i_0_52,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_53,plain,
subset(esk3_0,union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0))),
inference(scs_inference,[],[i_0_30,i_0_35,i_0_36]) ).
cnf(i_0_54,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_55,plain,
esk3_0 = union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),
inference(scs_inference,[],[i_0_30,i_0_35,i_0_36,i_0_39]) ).
cnf(i_0_56,plain,
union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)) = esk3_0,
inference(scs_inference,[],[i_0_30,i_0_34,i_0_35,i_0_36,i_0_39,i_0_40]) ).
cnf(i_0_57,plain,
union(X1,X2) = union(X2,X1),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_58,plain,
~ subset(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk4_0,esk5_0)),
inference(scs_inference,[],[i_0_30,i_0_31,i_0_34,i_0_35,i_0_36,i_0_39,i_0_40,i_0_47]) ).
cnf(i_0_59,plain,
~ subset(esk3_0,union(esk5_0,esk4_0)),
inference(scs_inference,[],[i_0_30,i_0_31,i_0_34,i_0_57,i_0_35,i_0_36,i_0_39,i_0_40,i_0_47,i_0_48]) ).
cnf(i_0_60,plain,
union(X1,X2) = union(X2,X1),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_61,plain,
subset(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),esk3_0),
inference(scs_inference,[],[i_0_56,i_0_35]) ).
cnf(i_0_62,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_63,plain,
subset(esk3_0,union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0))),
inference(scs_inference,[],[i_0_56,i_0_35,i_0_36]) ).
cnf(i_0_64,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_65,plain,
esk3_0 = union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),
inference(scs_inference,[],[i_0_56,i_0_35,i_0_36,i_0_39]) ).
cnf(i_0_66,plain,
~ subset(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk5_0,esk4_0)),
inference(scs_inference,[],[i_0_30,i_0_56,i_0_59,i_0_35,i_0_36,i_0_39,i_0_47]) ).
cnf(i_0_67,plain,
subset(intersection(X1,X2),intersection(X2,X1)),
inference(scs_inference,[],[i_0_33,i_0_35]) ).
cnf(i_0_68,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_69,plain,
subset(union(X1,X2),union(X2,X1)),
inference(scs_inference,[],[i_0_33,i_0_34,i_0_35,i_0_36]) ).
cnf(i_0_70,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_71,plain,
~ subset(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0)),
inference(scs_inference,[],[i_0_34,i_0_58,i_0_47]) ).
cnf(i_0_72,plain,
union(X1,X2) = union(X2,X1),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_73,plain,
~ subset(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk5_0,esk4_0)),
inference(scs_inference,[],[i_0_34,i_0_72,i_0_58,i_0_47,i_0_48]) ).
cnf(i_0_74,plain,
union(X1,X2) = union(X2,X1),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_75,plain,
union(intersection(X1,X2),X3) = union(intersection(X2,X1),X3),
inference(scs_inference,[],[i_0_33,i_0_41]) ).
cnf(i_0_76,plain,
union(X1,intersection(X2,X3)) = union(X1,intersection(X3,X2)),
inference(scs_inference,[],[i_0_33,i_0_41,i_0_42]) ).
cnf(i_0_77,plain,
intersection(intersection(X1,X2),X3) = intersection(intersection(X2,X1),X3),
inference(scs_inference,[],[i_0_33,i_0_41,i_0_42,i_0_43]) ).
cnf(i_0_78,plain,
intersection(X1,intersection(X2,X3)) = intersection(X1,intersection(X3,X2)),
inference(scs_inference,[],[i_0_33,i_0_41,i_0_42,i_0_43,i_0_44]) ).
cnf(i_0_79,plain,
~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk5_0,esk4_0)),union(esk5_0,esk4_0)),
inference(scs_inference,[],[i_0_66,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23]) ).
cnf(i_0_80,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_81,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),esk3_0),
inference(scs_inference,[],[i_0_66,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29]) ).
cnf(i_0_82,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_83,plain,
union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)) != union(esk5_0,esk4_0),
inference(scs_inference,[],[i_0_66,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29,i_0_35]) ).
cnf(i_0_84,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_85,plain,
union(esk5_0,esk4_0) != union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),
inference(scs_inference,[],[i_0_66,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29,i_0_35,i_0_36]) ).
cnf(i_0_86,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_87,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0))),
inference(scs_inference,[],[i_0_66,i_0_55,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29,i_0_35,i_0_36,i_0_46]) ).
cnf(i_0_88,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(esk3_0,esk3_0)),
inference(scs_inference,[],[i_0_66,i_0_55,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29,i_0_35,i_0_36,i_0_46,i_0_21]) ).
cnf(i_0_89,plain,
( ~ member(X1,X2)
| ~ member(X1,X3)
| member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_90,plain,
esk3_0 != union(esk5_0,esk4_0),
inference(scs_inference,[],[i_0_30,i_0_66,i_0_55,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29,i_0_35,i_0_36,i_0_46,i_0_21,i_0_40]) ).
cnf(i_0_91,plain,
subset(union(intersection(X1,X2),X3),union(intersection(X2,X1),X3)),
inference(scs_inference,[],[i_0_30,i_0_37,i_0_66,i_0_55,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29,i_0_35,i_0_36,i_0_46,i_0_21,i_0_40,i_0_48]) ).
cnf(i_0_92,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_93,plain,
subset(union(X1,intersection(X2,X3)),union(X1,intersection(X3,X2))),
inference(scs_inference,[],[i_0_30,i_0_37,i_0_92,i_0_66,i_0_55,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29,i_0_35,i_0_36,i_0_46,i_0_21,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_94,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_95,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(esk3_0,X1)),
inference(scs_inference,[],[i_0_30,i_0_37,i_0_92,i_0_66,i_0_55,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29,i_0_35,i_0_36,i_0_46,i_0_21,i_0_40,i_0_48,i_0_47,i_0_26]) ).
cnf(i_0_96,plain,
( ~ member(X1,X2)
| member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_97,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(X1,esk3_0)),
inference(scs_inference,[],[i_0_30,i_0_37,i_0_92,i_0_66,i_0_55,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29,i_0_35,i_0_36,i_0_46,i_0_21,i_0_40,i_0_48,i_0_47,i_0_26,i_0_27]) ).
cnf(i_0_98,plain,
( ~ member(X1,X2)
| member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_99,plain,
union(esk5_0,esk4_0) != esk3_0,
inference(scs_inference,[],[i_0_30,i_0_37,i_0_92,i_0_66,i_0_55,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29,i_0_35,i_0_36,i_0_46,i_0_21,i_0_40,i_0_48,i_0_47,i_0_26,i_0_27,i_0_39]) ).
cnf(i_0_100,plain,
( member(X1,esk3_0)
| esk1_2(esk3_0,union(esk5_0,esk4_0)) != X1 ),
inference(scs_inference,[],[i_0_30,i_0_37,i_0_92,i_0_66,i_0_55,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29,i_0_35,i_0_36,i_0_46,i_0_21,i_0_40,i_0_48,i_0_47,i_0_26,i_0_27,i_0_39,i_0_45]) ).
cnf(i_0_101,plain,
~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk5_0,esk4_0)),union(esk4_0,esk5_0)),
inference(scs_inference,[],[i_0_30,i_0_37,i_0_92,i_0_69,i_0_66,i_0_55,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29,i_0_35,i_0_36,i_0_46,i_0_21,i_0_40,i_0_48,i_0_47,i_0_26,i_0_27,i_0_39,i_0_45,i_0_28]) ).
cnf(i_0_102,plain,
subset(union(X1,X2),union(X2,X1)),
inference(rename_variables,[],[i_0_69]) ).
cnf(i_0_103,plain,
( ~ subset(X1,X2)
| member(X3,X2)
| ~ member(X3,X1) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_104,plain,
( esk1_2(esk3_0,union(esk5_0,esk4_0)) != esk2_2(esk3_0,union(esk5_0,esk4_0))
| ~ member(esk2_2(esk3_0,union(esk5_0,esk4_0)),union(esk5_0,esk4_0)) ),
inference(scs_inference,[],[i_0_30,i_0_37,i_0_92,i_0_69,i_0_66,i_0_55,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29,i_0_35,i_0_36,i_0_46,i_0_21,i_0_40,i_0_48,i_0_47,i_0_26,i_0_27,i_0_39,i_0_45,i_0_28,i_0_19]) ).
cnf(i_0_105,plain,
( X1 = X2
| ~ member(esk2_2(X1,X2),X2)
| ~ member(esk2_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_106,plain,
( esk1_2(esk3_0,union(esk5_0,esk4_0)) != esk2_2(esk3_0,union(esk5_0,esk4_0))
| ~ member(esk2_2(esk3_0,union(esk5_0,esk4_0)),intersection(union(esk5_0,esk4_0),X1)) ),
inference(scs_inference,[],[i_0_30,i_0_37,i_0_92,i_0_69,i_0_66,i_0_55,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29,i_0_35,i_0_36,i_0_46,i_0_21,i_0_40,i_0_48,i_0_47,i_0_26,i_0_27,i_0_39,i_0_45,i_0_28,i_0_19,i_0_24]) ).
cnf(i_0_107,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_108,plain,
( esk1_2(esk3_0,union(esk5_0,esk4_0)) != esk2_2(esk3_0,union(esk5_0,esk4_0))
| ~ member(esk2_2(esk3_0,union(esk5_0,esk4_0)),intersection(X1,union(esk5_0,esk4_0))) ),
inference(scs_inference,[],[i_0_30,i_0_37,i_0_92,i_0_69,i_0_66,i_0_55,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29,i_0_35,i_0_36,i_0_46,i_0_21,i_0_40,i_0_48,i_0_47,i_0_26,i_0_27,i_0_39,i_0_45,i_0_28,i_0_19,i_0_24,i_0_25]) ).
cnf(i_0_109,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_110,plain,
( esk1_2(esk3_0,union(esk5_0,esk4_0)) != esk2_2(esk3_0,union(esk5_0,esk4_0))
| ~ member(esk2_2(esk3_0,union(esk5_0,esk4_0)),union(union(esk5_0,esk4_0),union(esk5_0,esk4_0))) ),
inference(scs_inference,[],[i_0_30,i_0_37,i_0_92,i_0_69,i_0_66,i_0_55,i_0_59,i_0_33,i_0_41,i_0_42,i_0_43,i_0_44,i_0_23,i_0_29,i_0_35,i_0_36,i_0_46,i_0_21,i_0_40,i_0_48,i_0_47,i_0_26,i_0_27,i_0_39,i_0_45,i_0_28,i_0_19,i_0_24,i_0_25,i_0_20]) ).
cnf(i_0_111,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_112,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),esk3_0),
inference(equality_inference,[],[100]) ).
cnf(i_0_113,plain,
~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0)),union(esk4_0,esk5_0)),
inference(scs_inference,[],[i_0_71,i_0_23]) ).
cnf(i_0_114,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_115,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(union(X1,esk3_0),X2)),
inference(scs_inference,[],[i_0_71,i_0_97,i_0_23,i_0_26]) ).
cnf(i_0_116,plain,
( ~ member(X1,X2)
| member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_117,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(X1,union(X2,esk3_0))),
inference(scs_inference,[],[i_0_71,i_0_97,i_0_23,i_0_26,i_0_27]) ).
cnf(i_0_118,plain,
( ~ member(X1,X2)
| member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_119,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),esk3_0),
inference(scs_inference,[],[i_0_71,i_0_97,i_0_31,i_0_23,i_0_26,i_0_27,i_0_29]) ).
cnf(i_0_120,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_121,plain,
union(union(X1,X2),X3) = union(union(X2,X1),X3),
inference(scs_inference,[],[i_0_71,i_0_97,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41]) ).
cnf(i_0_122,plain,
union(X1,union(X2,X3)) = union(X1,union(X3,X2)),
inference(scs_inference,[],[i_0_71,i_0_97,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42]) ).
cnf(i_0_123,plain,
intersection(union(X1,X2),X3) = intersection(union(X2,X1),X3),
inference(scs_inference,[],[i_0_71,i_0_97,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42,i_0_43]) ).
cnf(i_0_124,plain,
intersection(X1,union(X2,X3)) = intersection(X1,union(X3,X2)),
inference(scs_inference,[],[i_0_71,i_0_97,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42,i_0_43,i_0_44]) ).
cnf(i_0_125,plain,
union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)) != union(esk4_0,esk5_0),
inference(scs_inference,[],[i_0_71,i_0_97,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42,i_0_43,i_0_44,i_0_35]) ).
cnf(i_0_126,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_127,plain,
union(esk4_0,esk5_0) != union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),
inference(scs_inference,[],[i_0_71,i_0_97,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42,i_0_43,i_0_44,i_0_35,i_0_36]) ).
cnf(i_0_128,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_129,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(union(X1,esk3_0),union(X1,esk3_0))),
inference(scs_inference,[],[i_0_71,i_0_97,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42,i_0_43,i_0_44,i_0_35,i_0_36,i_0_21]) ).
cnf(i_0_130,plain,
( ~ member(X1,X2)
| ~ member(X1,X3)
| member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_131,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0))),
inference(scs_inference,[],[i_0_71,i_0_97,i_0_65,i_0_81,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42,i_0_43,i_0_44,i_0_35,i_0_36,i_0_21,i_0_46]) ).
cnf(i_0_132,plain,
union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)) != union(esk5_0,esk4_0),
inference(scs_inference,[],[i_0_90,i_0_71,i_0_97,i_0_65,i_0_81,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42,i_0_43,i_0_44,i_0_35,i_0_36,i_0_21,i_0_46,i_0_40]) ).
cnf(i_0_133,plain,
subset(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),esk3_0),
inference(scs_inference,[],[i_0_30,i_0_90,i_0_71,i_0_97,i_0_65,i_0_81,i_0_91,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42,i_0_43,i_0_44,i_0_35,i_0_36,i_0_21,i_0_46,i_0_40,i_0_48]) ).
cnf(i_0_134,plain,
subset(union(intersection(X1,X2),X3),union(intersection(X2,X1),X3)),
inference(rename_variables,[],[i_0_91]) ).
cnf(i_0_135,plain,
subset(esk3_0,union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0))),
inference(scs_inference,[],[i_0_30,i_0_90,i_0_71,i_0_97,i_0_65,i_0_81,i_0_91,i_0_134,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42,i_0_43,i_0_44,i_0_35,i_0_36,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_136,plain,
subset(union(intersection(X1,X2),X3),union(intersection(X2,X1),X3)),
inference(rename_variables,[],[i_0_91]) ).
cnf(i_0_137,plain,
union(esk5_0,esk4_0) != union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),
inference(scs_inference,[],[i_0_30,i_0_90,i_0_71,i_0_97,i_0_65,i_0_81,i_0_91,i_0_134,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42,i_0_43,i_0_44,i_0_35,i_0_36,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39]) ).
cnf(i_0_138,plain,
esk3_0 = union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),
inference(scs_inference,[],[i_0_30,i_0_90,i_0_71,i_0_97,i_0_65,i_0_81,i_0_91,i_0_134,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42,i_0_43,i_0_44,i_0_35,i_0_36,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_32]) ).
cnf(i_0_139,plain,
( ~ subset(X1,X2)
| X2 = X1
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_140,plain,
( member(esk3_0,X1)
| ~ member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),X1) ),
inference(scs_inference,[],[i_0_30,i_0_90,i_0_71,i_0_97,i_0_65,i_0_81,i_0_91,i_0_134,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42,i_0_43,i_0_44,i_0_35,i_0_36,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_32,i_0_45]) ).
cnf(i_0_141,plain,
( member(esk3_0,esk3_0)
| esk1_2(esk3_0,union(esk5_0,esk4_0)) != union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)) ),
inference(scs_inference,[],[i_0_30,i_0_90,i_0_71,i_0_97,i_0_65,i_0_81,i_0_91,i_0_134,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42,i_0_43,i_0_44,i_0_35,i_0_36,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_32,i_0_45,i_0_100]) ).
cnf(i_0_142,plain,
( member(esk3_0,esk3_0)
| ~ member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),intersection(esk3_0,X1)) ),
inference(scs_inference,[],[i_0_30,i_0_90,i_0_71,i_0_97,i_0_65,i_0_81,i_0_91,i_0_134,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42,i_0_43,i_0_44,i_0_35,i_0_36,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_32,i_0_45,i_0_100,i_0_24]) ).
cnf(i_0_143,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_144,plain,
( member(esk3_0,esk3_0)
| ~ member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),intersection(X1,esk3_0)) ),
inference(scs_inference,[],[i_0_30,i_0_90,i_0_71,i_0_97,i_0_65,i_0_81,i_0_91,i_0_134,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42,i_0_43,i_0_44,i_0_35,i_0_36,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_32,i_0_45,i_0_100,i_0_24,i_0_25]) ).
cnf(i_0_145,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_146,plain,
( member(esk3_0,esk3_0)
| member(esk2_2(esk3_0,union(esk5_0,esk4_0)),esk3_0)
| member(esk2_2(esk3_0,union(esk5_0,esk4_0)),union(esk5_0,esk4_0)) ),
inference(scs_inference,[],[i_0_30,i_0_90,i_0_71,i_0_97,i_0_65,i_0_81,i_0_91,i_0_134,i_0_31,i_0_34,i_0_23,i_0_26,i_0_27,i_0_29,i_0_41,i_0_42,i_0_43,i_0_44,i_0_35,i_0_36,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_32,i_0_45,i_0_100,i_0_24,i_0_25,i_0_22]) ).
cnf(i_0_147,plain,
~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk5_0,esk4_0)),union(esk5_0,esk4_0)),
inference(scs_inference,[],[i_0_73,i_0_23]) ).
cnf(i_0_148,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_149,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(intersection(esk3_0,esk3_0),X1)),
inference(scs_inference,[],[i_0_73,i_0_88,i_0_23,i_0_26]) ).
cnf(i_0_150,plain,
( ~ member(X1,X2)
| member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_151,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(X1,intersection(esk3_0,esk3_0))),
inference(scs_inference,[],[i_0_73,i_0_88,i_0_23,i_0_26,i_0_27]) ).
cnf(i_0_152,plain,
( ~ member(X1,X2)
| member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_153,plain,
union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)) != union(esk4_0,esk5_0),
inference(scs_inference,[],[i_0_73,i_0_88,i_0_58,i_0_23,i_0_26,i_0_27,i_0_35]) ).
cnf(i_0_154,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_155,plain,
union(esk4_0,esk5_0) != union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),
inference(scs_inference,[],[i_0_73,i_0_88,i_0_58,i_0_23,i_0_26,i_0_27,i_0_35,i_0_36]) ).
cnf(i_0_156,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_157,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(intersection(esk3_0,esk3_0),intersection(esk3_0,esk3_0))),
inference(scs_inference,[],[i_0_73,i_0_88,i_0_58,i_0_23,i_0_26,i_0_27,i_0_35,i_0_36,i_0_21]) ).
cnf(i_0_158,plain,
( ~ member(X1,X2)
| ~ member(X1,X3)
| member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_159,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0))),
inference(scs_inference,[],[i_0_73,i_0_88,i_0_138,i_0_119,i_0_58,i_0_23,i_0_26,i_0_27,i_0_35,i_0_36,i_0_21,i_0_46]) ).
cnf(i_0_160,plain,
union(esk4_0,esk5_0) != esk3_0,
inference(scs_inference,[],[i_0_99,i_0_73,i_0_88,i_0_138,i_0_119,i_0_58,i_0_34,i_0_23,i_0_26,i_0_27,i_0_35,i_0_36,i_0_21,i_0_46,i_0_40]) ).
cnf(i_0_161,plain,
union(X1,X2) = union(X2,X1),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_162,plain,
subset(union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)),esk3_0),
inference(scs_inference,[],[i_0_30,i_0_99,i_0_73,i_0_88,i_0_138,i_0_119,i_0_93,i_0_58,i_0_34,i_0_23,i_0_26,i_0_27,i_0_35,i_0_36,i_0_21,i_0_46,i_0_40,i_0_48]) ).
cnf(i_0_163,plain,
subset(union(X1,intersection(X2,X3)),union(X1,intersection(X3,X2))),
inference(rename_variables,[],[i_0_93]) ).
cnf(i_0_164,plain,
subset(esk3_0,union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0))),
inference(scs_inference,[],[i_0_30,i_0_99,i_0_73,i_0_88,i_0_138,i_0_119,i_0_93,i_0_163,i_0_58,i_0_34,i_0_23,i_0_26,i_0_27,i_0_35,i_0_36,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_165,plain,
subset(union(X1,intersection(X2,X3)),union(X1,intersection(X3,X2))),
inference(rename_variables,[],[i_0_93]) ).
cnf(i_0_166,plain,
esk3_0 != union(esk4_0,esk5_0),
inference(scs_inference,[],[i_0_30,i_0_99,i_0_73,i_0_88,i_0_138,i_0_119,i_0_93,i_0_163,i_0_58,i_0_34,i_0_23,i_0_26,i_0_27,i_0_35,i_0_36,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39]) ).
cnf(i_0_167,plain,
( member(X1,intersection(esk3_0,esk3_0))
| esk1_2(esk3_0,union(esk5_0,esk4_0)) != X1 ),
inference(scs_inference,[],[i_0_30,i_0_99,i_0_73,i_0_88,i_0_138,i_0_119,i_0_93,i_0_163,i_0_58,i_0_34,i_0_23,i_0_26,i_0_27,i_0_35,i_0_36,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_45]) ).
cnf(i_0_168,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(esk3_0,esk3_0)),
inference(equality_inference,[],[167]) ).
cnf(i_0_169,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(esk5_0,esk4_0)),
inference(scs_inference,[],[i_0_59,i_0_23]) ).
cnf(i_0_170,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_171,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(union(esk3_0,X1),X2)),
inference(scs_inference,[],[i_0_95,i_0_59,i_0_23,i_0_26]) ).
cnf(i_0_172,plain,
( ~ member(X1,X2)
| member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_173,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(X1,union(esk3_0,X2))),
inference(scs_inference,[],[i_0_95,i_0_59,i_0_23,i_0_26,i_0_27]) ).
cnf(i_0_174,plain,
( ~ member(X1,X2)
| member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_175,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(union(esk5_0,esk4_0),union(esk5_0,esk4_0))),
inference(scs_inference,[],[i_0_95,i_0_59,i_0_23,i_0_26,i_0_27,i_0_20]) ).
cnf(i_0_176,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_177,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(union(esk3_0,X1),union(esk3_0,X1))),
inference(scs_inference,[],[i_0_95,i_0_59,i_0_23,i_0_26,i_0_27,i_0_20,i_0_21]) ).
cnf(i_0_178,plain,
( ~ member(X1,X2)
| ~ member(X1,X3)
| member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_179,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0))),
inference(scs_inference,[],[i_0_95,i_0_75,i_0_131,i_0_59,i_0_23,i_0_26,i_0_27,i_0_20,i_0_21,i_0_46]) ).
cnf(i_0_180,plain,
union(intersection(X1,X2),X3) = union(intersection(X2,X1),X3),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_181,plain,
union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)) != union(esk4_0,esk5_0),
inference(scs_inference,[],[i_0_153,i_0_95,i_0_75,i_0_180,i_0_131,i_0_59,i_0_23,i_0_26,i_0_27,i_0_20,i_0_21,i_0_46,i_0_40]) ).
cnf(i_0_182,plain,
union(intersection(X1,X2),X3) = union(intersection(X2,X1),X3),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_183,plain,
subset(esk3_0,union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0))),
inference(scs_inference,[],[i_0_153,i_0_95,i_0_164,i_0_75,i_0_180,i_0_182,i_0_131,i_0_59,i_0_23,i_0_26,i_0_27,i_0_20,i_0_21,i_0_46,i_0_40,i_0_48]) ).
cnf(i_0_184,plain,
union(intersection(X1,X2),X3) = union(intersection(X2,X1),X3),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_185,plain,
subset(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),esk3_0),
inference(scs_inference,[],[i_0_153,i_0_95,i_0_164,i_0_162,i_0_75,i_0_180,i_0_182,i_0_184,i_0_131,i_0_59,i_0_23,i_0_26,i_0_27,i_0_20,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_186,plain,
union(intersection(X1,X2),X3) = union(intersection(X2,X1),X3),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_187,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(union(esk5_0,esk4_0),X1)),
inference(scs_inference,[],[i_0_153,i_0_95,i_0_164,i_0_162,i_0_75,i_0_180,i_0_182,i_0_184,i_0_131,i_0_59,i_0_23,i_0_26,i_0_27,i_0_20,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_24]) ).
cnf(i_0_188,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_189,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(X1,union(esk5_0,esk4_0))),
inference(scs_inference,[],[i_0_153,i_0_95,i_0_164,i_0_162,i_0_75,i_0_180,i_0_182,i_0_184,i_0_131,i_0_59,i_0_23,i_0_26,i_0_27,i_0_20,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25]) ).
cnf(i_0_190,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_191,plain,
union(esk4_0,esk5_0) != union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),
inference(scs_inference,[],[i_0_153,i_0_95,i_0_164,i_0_162,i_0_75,i_0_180,i_0_182,i_0_184,i_0_131,i_0_59,i_0_23,i_0_26,i_0_27,i_0_20,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_39]) ).
cnf(i_0_192,plain,
( ~ subset(union(esk4_0,esk5_0),union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)))
| ~ subset(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),union(esk4_0,esk5_0)) ),
inference(scs_inference,[],[i_0_153,i_0_95,i_0_164,i_0_162,i_0_75,i_0_180,i_0_182,i_0_184,i_0_131,i_0_59,i_0_23,i_0_26,i_0_27,i_0_20,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_39,i_0_32]) ).
cnf(i_0_193,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_194,plain,
( member(union(intersection(X1,X2),X3),X4)
| ~ member(union(intersection(X2,X1),X3),X4) ),
inference(scs_inference,[],[i_0_153,i_0_95,i_0_164,i_0_162,i_0_75,i_0_180,i_0_182,i_0_184,i_0_186,i_0_131,i_0_59,i_0_23,i_0_26,i_0_27,i_0_20,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_39,i_0_32,i_0_45]) ).
cnf(i_0_195,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(esk3_0,X1)),
inference(scs_inference,[],[i_0_119,i_0_26]) ).
cnf(i_0_196,plain,
( ~ member(X1,X2)
| member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_197,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(X1,esk3_0)),
inference(scs_inference,[],[i_0_119,i_0_26,i_0_27]) ).
cnf(i_0_198,plain,
( ~ member(X1,X2)
| member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_199,plain,
~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk4_0,esk5_0)),union(esk4_0,esk5_0)),
inference(scs_inference,[],[i_0_119,i_0_58,i_0_26,i_0_27,i_0_23]) ).
cnf(i_0_200,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_201,plain,
esk3_0 = union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),
inference(scs_inference,[],[i_0_185,i_0_183,i_0_119,i_0_58,i_0_26,i_0_27,i_0_23,i_0_32]) ).
cnf(i_0_202,plain,
( ~ subset(X1,X2)
| X2 = X1
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_203,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(esk3_0,esk3_0)),
inference(scs_inference,[],[i_0_185,i_0_183,i_0_119,i_0_58,i_0_26,i_0_27,i_0_23,i_0_32,i_0_21]) ).
cnf(i_0_204,plain,
( ~ member(X1,X2)
| ~ member(X1,X3)
| member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_205,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(union(X1,esk3_0),union(esk3_0,X1))),
inference(scs_inference,[],[i_0_185,i_0_183,i_0_123,i_0_177,i_0_119,i_0_58,i_0_26,i_0_27,i_0_23,i_0_32,i_0_21,i_0_46]) ).
cnf(i_0_206,plain,
intersection(union(X1,X2),X3) = intersection(union(X2,X1),X3),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_207,plain,
union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)) != union(esk4_0,esk5_0),
inference(scs_inference,[],[i_0_181,i_0_185,i_0_183,i_0_76,i_0_123,i_0_177,i_0_119,i_0_58,i_0_26,i_0_27,i_0_23,i_0_32,i_0_21,i_0_46,i_0_40]) ).
cnf(i_0_208,plain,
union(X1,intersection(X2,X3)) = union(X1,intersection(X3,X2)),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_209,plain,
subset(intersection(X1,intersection(X2,X3)),intersection(intersection(X3,X2),X1)),
inference(scs_inference,[],[i_0_181,i_0_185,i_0_183,i_0_76,i_0_77,i_0_123,i_0_177,i_0_67,i_0_119,i_0_58,i_0_26,i_0_27,i_0_23,i_0_32,i_0_21,i_0_46,i_0_40,i_0_48]) ).
cnf(i_0_210,plain,
intersection(intersection(X1,X2),X3) = intersection(intersection(X2,X1),X3),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_211,plain,
subset(intersection(X1,X2),intersection(X2,X1)),
inference(rename_variables,[],[i_0_67]) ).
cnf(i_0_212,plain,
subset(intersection(intersection(X1,X2),X3),intersection(X3,intersection(X2,X1))),
inference(scs_inference,[],[i_0_181,i_0_185,i_0_183,i_0_76,i_0_77,i_0_210,i_0_123,i_0_177,i_0_67,i_0_211,i_0_119,i_0_58,i_0_26,i_0_27,i_0_23,i_0_32,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_213,plain,
intersection(intersection(X1,X2),X3) = intersection(intersection(X2,X1),X3),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_214,plain,
subset(intersection(X1,X2),intersection(X2,X1)),
inference(rename_variables,[],[i_0_67]) ).
cnf(i_0_215,plain,
union(esk4_0,esk5_0) != union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),
inference(scs_inference,[],[i_0_181,i_0_185,i_0_183,i_0_76,i_0_77,i_0_210,i_0_123,i_0_177,i_0_67,i_0_211,i_0_119,i_0_58,i_0_26,i_0_27,i_0_23,i_0_32,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39]) ).
cnf(i_0_216,plain,
( member(X1,union(intersection(esk3_0,esk3_0),X2))
| esk1_2(esk3_0,union(esk5_0,esk4_0)) != X1 ),
inference(scs_inference,[],[i_0_181,i_0_185,i_0_183,i_0_76,i_0_77,i_0_210,i_0_123,i_0_149,i_0_177,i_0_67,i_0_211,i_0_119,i_0_58,i_0_26,i_0_27,i_0_23,i_0_32,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_45]) ).
cnf(i_0_217,plain,
( member(union(intersection(X1,X2),X3),union(intersection(esk3_0,esk3_0),X4))
| esk1_2(esk3_0,union(esk5_0,esk4_0)) != union(intersection(X2,X1),X3) ),
inference(scs_inference,[],[i_0_181,i_0_185,i_0_183,i_0_76,i_0_77,i_0_210,i_0_123,i_0_149,i_0_177,i_0_67,i_0_211,i_0_119,i_0_58,i_0_26,i_0_27,i_0_23,i_0_32,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_45,i_0_194]) ).
cnf(i_0_218,plain,
( X1 = X2
| ~ member(esk2_2(X1,X2),X2)
| ~ member(esk2_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_219,plain,
( esk1_2(esk3_0,union(esk5_0,esk4_0)) != union(intersection(X1,X2),X3)
| ~ member(esk2_2(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),union(esk4_0,esk5_0)),union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)))
| ~ member(esk2_2(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),union(esk4_0,esk5_0)),union(esk4_0,esk5_0)) ),
inference(scs_inference,[],[i_0_181,i_0_185,i_0_183,i_0_76,i_0_77,i_0_210,i_0_123,i_0_149,i_0_177,i_0_67,i_0_211,i_0_119,i_0_58,i_0_26,i_0_27,i_0_23,i_0_32,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_45,i_0_194,i_0_19]) ).
cnf(i_0_220,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(intersection(esk3_0,esk3_0),X1)),
inference(equality_inference,[],[216]) ).
cnf(i_0_221,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(intersection(esk3_0,esk3_0),X1)),
inference(scs_inference,[],[i_0_203,i_0_26]) ).
cnf(i_0_222,plain,
( ~ member(X1,X2)
| member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_223,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(X1,intersection(esk3_0,esk3_0))),
inference(scs_inference,[],[i_0_203,i_0_26,i_0_27]) ).
cnf(i_0_224,plain,
( ~ member(X1,X2)
| member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_225,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(esk4_0,esk5_0)),
inference(scs_inference,[],[i_0_203,i_0_31,i_0_26,i_0_27,i_0_23]) ).
cnf(i_0_226,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_227,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0))),
inference(scs_inference,[],[i_0_203,i_0_135,i_0_81,i_0_31,i_0_26,i_0_27,i_0_23,i_0_28]) ).
cnf(i_0_228,plain,
( ~ subset(X1,X2)
| member(X3,X2)
| ~ member(X3,X1) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_229,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(union(esk4_0,esk5_0),union(esk4_0,esk5_0))),
inference(scs_inference,[],[i_0_203,i_0_135,i_0_81,i_0_31,i_0_26,i_0_27,i_0_23,i_0_28,i_0_20]) ).
cnf(i_0_230,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_231,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(intersection(esk3_0,esk3_0),intersection(esk3_0,esk3_0))),
inference(scs_inference,[],[i_0_203,i_0_135,i_0_81,i_0_31,i_0_26,i_0_27,i_0_23,i_0_28,i_0_20,i_0_21]) ).
cnf(i_0_232,plain,
( ~ member(X1,X2)
| ~ member(X1,X3)
| member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_233,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0))),
inference(scs_inference,[],[i_0_203,i_0_135,i_0_159,i_0_81,i_0_75,i_0_31,i_0_26,i_0_27,i_0_23,i_0_28,i_0_20,i_0_21,i_0_46]) ).
cnf(i_0_234,plain,
union(intersection(X1,X2),X3) = union(intersection(X2,X1),X3),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_235,plain,
union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)) != union(esk4_0,esk5_0),
inference(scs_inference,[],[i_0_207,i_0_203,i_0_135,i_0_159,i_0_81,i_0_75,i_0_234,i_0_31,i_0_26,i_0_27,i_0_23,i_0_28,i_0_20,i_0_21,i_0_46,i_0_40]) ).
cnf(i_0_236,plain,
union(intersection(X1,X2),X3) = union(intersection(X2,X1),X3),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_237,plain,
subset(intersection(intersection(X1,X2),intersection(X3,X4)),intersection(intersection(X4,X3),intersection(X2,X1))),
inference(scs_inference,[],[i_0_207,i_0_203,i_0_135,i_0_78,i_0_209,i_0_159,i_0_81,i_0_75,i_0_234,i_0_31,i_0_26,i_0_27,i_0_23,i_0_28,i_0_20,i_0_21,i_0_46,i_0_40,i_0_48]) ).
cnf(i_0_238,plain,
subset(intersection(X1,intersection(X2,X3)),intersection(intersection(X3,X2),X1)),
inference(rename_variables,[],[i_0_209]) ).
cnf(i_0_239,plain,
intersection(X1,intersection(X2,X3)) = intersection(X1,intersection(X3,X2)),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_240,plain,
subset(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0))),
inference(scs_inference,[],[i_0_207,i_0_203,i_0_135,i_0_201,i_0_78,i_0_209,i_0_159,i_0_53,i_0_81,i_0_75,i_0_234,i_0_31,i_0_26,i_0_27,i_0_23,i_0_28,i_0_20,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_241,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(union(esk4_0,esk5_0),X1)),
inference(scs_inference,[],[i_0_207,i_0_203,i_0_135,i_0_201,i_0_78,i_0_209,i_0_159,i_0_53,i_0_81,i_0_75,i_0_234,i_0_31,i_0_26,i_0_27,i_0_23,i_0_28,i_0_20,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_24]) ).
cnf(i_0_242,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_243,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(X1,union(esk4_0,esk5_0))),
inference(scs_inference,[],[i_0_207,i_0_203,i_0_135,i_0_201,i_0_78,i_0_209,i_0_159,i_0_53,i_0_81,i_0_75,i_0_234,i_0_31,i_0_26,i_0_27,i_0_23,i_0_28,i_0_20,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25]) ).
cnf(i_0_244,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_245,plain,
union(esk4_0,esk5_0) != union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)),
inference(scs_inference,[],[i_0_207,i_0_203,i_0_135,i_0_201,i_0_78,i_0_209,i_0_159,i_0_53,i_0_81,i_0_75,i_0_234,i_0_31,i_0_26,i_0_27,i_0_23,i_0_28,i_0_20,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_39]) ).
cnf(i_0_246,plain,
( member(esk2_2(esk3_0,union(esk4_0,esk5_0)),union(esk4_0,esk5_0))
| member(esk2_2(esk3_0,union(esk4_0,esk5_0)),esk3_0) ),
inference(scs_inference,[],[i_0_207,i_0_203,i_0_135,i_0_201,i_0_78,i_0_209,i_0_159,i_0_166,i_0_53,i_0_81,i_0_75,i_0_234,i_0_31,i_0_26,i_0_27,i_0_23,i_0_28,i_0_20,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_39,i_0_22]) ).
cnf(i_0_247,plain,
( X1 = X2
| member(esk2_2(X1,X2),X2)
| member(esk2_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_248,plain,
( ~ member(esk2_2(esk3_0,union(esk4_0,esk5_0)),esk3_0)
| member(esk2_2(esk3_0,union(esk4_0,esk5_0)),esk3_0) ),
inference(scs_inference,[],[i_0_207,i_0_203,i_0_135,i_0_201,i_0_78,i_0_209,i_0_159,i_0_166,i_0_53,i_0_81,i_0_75,i_0_234,i_0_31,i_0_26,i_0_27,i_0_23,i_0_28,i_0_20,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_39,i_0_22,i_0_19]) ).
cnf(i_0_249,plain,
( ~ member(esk2_2(X1,X2),X2)
| X1 = X2
| ~ member(esk2_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_250,plain,
( ~ subset(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),union(esk4_0,esk5_0))
| ~ subset(union(esk4_0,esk5_0),union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)))
| member(esk2_2(esk3_0,union(esk4_0,esk5_0)),esk3_0) ),
inference(scs_inference,[],[i_0_207,i_0_203,i_0_135,i_0_201,i_0_78,i_0_209,i_0_159,i_0_166,i_0_53,i_0_81,i_0_75,i_0_234,i_0_31,i_0_26,i_0_27,i_0_23,i_0_28,i_0_20,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_39,i_0_22,i_0_19,i_0_32]) ).
cnf(i_0_251,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(union(esk3_0,X1),X2)),
inference(scs_inference,[],[i_0_195,i_0_26]) ).
cnf(i_0_252,plain,
( ~ member(X1,X2)
| member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_253,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(X1,union(esk3_0,X2))),
inference(scs_inference,[],[i_0_195,i_0_26,i_0_27]) ).
cnf(i_0_254,plain,
( ~ member(X1,X2)
| member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_255,plain,
union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)) = esk3_0,
inference(scs_inference,[],[i_0_195,i_0_133,i_0_135,i_0_26,i_0_27,i_0_32]) ).
cnf(i_0_256,plain,
( ~ subset(X1,X2)
| X2 = X1
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_257,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(union(esk3_0,X1),union(esk3_0,X1))),
inference(scs_inference,[],[i_0_195,i_0_133,i_0_135,i_0_26,i_0_27,i_0_32,i_0_21]) ).
cnf(i_0_258,plain,
( ~ member(X1,X2)
| ~ member(X1,X3)
| member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_259,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0))),
inference(scs_inference,[],[i_0_195,i_0_133,i_0_135,i_0_201,i_0_81,i_0_26,i_0_27,i_0_32,i_0_21,i_0_46]) ).
cnf(i_0_260,plain,
union(esk5_0,esk4_0) != union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),
inference(scs_inference,[],[i_0_195,i_0_191,i_0_133,i_0_135,i_0_201,i_0_81,i_0_34,i_0_26,i_0_27,i_0_32,i_0_21,i_0_46,i_0_40]) ).
cnf(i_0_261,plain,
union(X1,X2) = union(X2,X1),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_262,plain,
subset(union(union(X1,X2),X3),union(union(X2,X1),X3)),
inference(scs_inference,[],[i_0_195,i_0_191,i_0_133,i_0_121,i_0_37,i_0_135,i_0_201,i_0_81,i_0_34,i_0_26,i_0_27,i_0_32,i_0_21,i_0_46,i_0_40,i_0_48]) ).
cnf(i_0_263,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_264,plain,
subset(union(X1,union(X2,X3)),union(X1,union(X3,X2))),
inference(scs_inference,[],[i_0_195,i_0_191,i_0_133,i_0_121,i_0_122,i_0_37,i_0_263,i_0_135,i_0_201,i_0_81,i_0_34,i_0_26,i_0_27,i_0_32,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_265,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_266,plain,
union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)) != union(esk5_0,esk4_0),
inference(scs_inference,[],[i_0_195,i_0_191,i_0_133,i_0_121,i_0_122,i_0_37,i_0_263,i_0_135,i_0_201,i_0_81,i_0_34,i_0_26,i_0_27,i_0_32,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39]) ).
cnf(i_0_267,plain,
( ~ member(esk2_2(union(esk4_0,esk5_0),esk3_0),esk3_0)
| ~ member(esk2_2(union(esk4_0,esk5_0),esk3_0),union(esk4_0,esk5_0)) ),
inference(scs_inference,[],[i_0_195,i_0_191,i_0_133,i_0_121,i_0_122,i_0_160,i_0_37,i_0_263,i_0_135,i_0_201,i_0_81,i_0_34,i_0_26,i_0_27,i_0_32,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_19]) ).
cnf(i_0_268,plain,
( X1 = X2
| ~ member(esk2_2(X1,X2),X2)
| ~ member(esk2_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_269,plain,
( ~ member(esk2_2(union(esk4_0,esk5_0),esk3_0),union(esk3_0,esk3_0))
| ~ member(esk2_2(union(esk4_0,esk5_0),esk3_0),union(esk4_0,esk5_0)) ),
inference(scs_inference,[],[i_0_195,i_0_191,i_0_133,i_0_121,i_0_122,i_0_160,i_0_37,i_0_263,i_0_135,i_0_201,i_0_81,i_0_34,i_0_26,i_0_27,i_0_32,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_19,i_0_20]) ).
cnf(i_0_270,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_271,plain,
( esk1_2(esk3_0,union(esk5_0,esk4_0)) != esk2_2(union(esk4_0,esk5_0),esk3_0)
| ~ member(esk2_2(union(esk4_0,esk5_0),esk3_0),union(esk4_0,esk5_0)) ),
inference(scs_inference,[],[i_0_195,i_0_191,i_0_133,i_0_121,i_0_122,i_0_160,i_0_37,i_0_263,i_0_135,i_0_201,i_0_81,i_0_34,i_0_26,i_0_27,i_0_32,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_19,i_0_20,i_0_100]) ).
cnf(i_0_272,plain,
( ~ member(esk2_2(union(esk4_0,esk5_0),esk3_0),union(esk4_0,esk5_0))
| ~ member(esk2_2(union(esk4_0,esk5_0),esk3_0),intersection(esk3_0,X1)) ),
inference(scs_inference,[],[i_0_195,i_0_191,i_0_133,i_0_121,i_0_122,i_0_160,i_0_37,i_0_263,i_0_135,i_0_201,i_0_81,i_0_34,i_0_26,i_0_27,i_0_32,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_19,i_0_20,i_0_100,i_0_24]) ).
cnf(i_0_273,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_274,plain,
( ~ member(esk2_2(union(esk4_0,esk5_0),esk3_0),union(esk4_0,esk5_0))
| ~ member(esk2_2(union(esk4_0,esk5_0),esk3_0),intersection(X1,esk3_0)) ),
inference(scs_inference,[],[i_0_195,i_0_191,i_0_133,i_0_121,i_0_122,i_0_160,i_0_37,i_0_263,i_0_135,i_0_201,i_0_81,i_0_34,i_0_26,i_0_27,i_0_32,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_19,i_0_20,i_0_100,i_0_24,i_0_25]) ).
cnf(i_0_275,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_276,plain,
( ~ member(esk2_2(union(esk4_0,esk5_0),esk3_0),union(esk4_0,esk5_0))
| member(esk2_2(union(esk4_0,esk5_0),esk3_0),union(esk4_0,esk5_0)) ),
inference(scs_inference,[],[i_0_195,i_0_191,i_0_133,i_0_121,i_0_122,i_0_160,i_0_37,i_0_263,i_0_135,i_0_201,i_0_81,i_0_34,i_0_26,i_0_27,i_0_32,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_19,i_0_20,i_0_100,i_0_24,i_0_25,i_0_22]) ).
cnf(i_0_277,plain,
( member(esk2_2(X1,X2),X2)
| X1 = X2
| member(esk2_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_278,plain,
( ~ member(esk2_2(union(esk4_0,esk5_0),esk3_0),union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)))
| ~ member(esk2_2(union(esk4_0,esk5_0),esk3_0),union(esk4_0,esk5_0)) ),
inference(scs_inference,[],[i_0_195,i_0_191,i_0_133,i_0_121,i_0_122,i_0_160,i_0_37,i_0_263,i_0_135,i_0_201,i_0_81,i_0_34,i_0_26,i_0_27,i_0_32,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_19,i_0_20,i_0_100,i_0_24,i_0_25,i_0_22,i_0_28]) ).
cnf(i_0_279,plain,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_281,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(union(X1,esk3_0),X2)),
inference(scs_inference,[],[i_0_197,i_0_26]) ).
cnf(i_0_282,plain,
( ~ member(X1,X2)
| member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_283,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(X1,union(X2,esk3_0))),
inference(scs_inference,[],[i_0_197,i_0_26,i_0_27]) ).
cnf(i_0_284,plain,
( ~ member(X1,X2)
| member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_285,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(union(esk4_0,esk5_0),union(esk5_0,esk4_0))),
inference(scs_inference,[],[i_0_197,i_0_262,i_0_175,i_0_26,i_0_27,i_0_28]) ).
cnf(i_0_286,plain,
subset(union(union(X1,X2),X3),union(union(X2,X1),X3)),
inference(rename_variables,[],[i_0_262]) ).
cnf(i_0_287,plain,
( ~ subset(X1,X2)
| member(X3,X2)
| ~ member(X3,X1) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_288,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(union(X1,esk3_0),union(X1,esk3_0))),
inference(scs_inference,[],[i_0_197,i_0_262,i_0_175,i_0_26,i_0_27,i_0_28,i_0_21]) ).
cnf(i_0_289,plain,
( ~ member(X1,X2)
| ~ member(X1,X3)
| member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_290,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(union(esk3_0,X1),union(X1,esk3_0))),
inference(scs_inference,[],[i_0_197,i_0_124,i_0_262,i_0_175,i_0_257,i_0_26,i_0_27,i_0_28,i_0_21,i_0_46]) ).
cnf(i_0_291,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(union(esk3_0,X1),union(esk3_0,X1))),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_292,plain,
intersection(X1,union(X2,X3)) = intersection(X1,union(X3,X2)),
inference(rename_variables,[],[i_0_124]) ).
cnf(i_0_293,plain,
union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)) != union(esk5_0,esk4_0),
inference(scs_inference,[],[i_0_266,i_0_197,i_0_124,i_0_262,i_0_175,i_0_257,i_0_76,i_0_26,i_0_27,i_0_28,i_0_21,i_0_46,i_0_40]) ).
cnf(i_0_294,plain,
union(X1,intersection(X2,X3)) = union(X1,intersection(X3,X2)),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_295,plain,
subset(union(union(X1,X2),intersection(X3,X4)),union(union(X2,X1),intersection(X4,X3))),
inference(scs_inference,[],[i_0_266,i_0_197,i_0_124,i_0_262,i_0_286,i_0_175,i_0_257,i_0_76,i_0_294,i_0_26,i_0_27,i_0_28,i_0_21,i_0_46,i_0_40,i_0_48]) ).
cnf(i_0_296,plain,
subset(union(union(X1,X2),X3),union(union(X2,X1),X3)),
inference(rename_variables,[],[i_0_262]) ).
cnf(i_0_297,plain,
union(X1,intersection(X2,X3)) = union(X1,intersection(X3,X2)),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_298,plain,
subset(intersection(intersection(X1,X2),union(X3,X4)),intersection(union(X4,X3),intersection(X2,X1))),
inference(scs_inference,[],[i_0_266,i_0_197,i_0_124,i_0_292,i_0_212,i_0_262,i_0_286,i_0_175,i_0_257,i_0_76,i_0_294,i_0_26,i_0_27,i_0_28,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_299,plain,
subset(intersection(intersection(X1,X2),X3),intersection(X3,intersection(X2,X1))),
inference(rename_variables,[],[i_0_212]) ).
cnf(i_0_300,plain,
intersection(X1,union(X2,X3)) = intersection(X1,union(X3,X2)),
inference(rename_variables,[],[i_0_124]) ).
cnf(i_0_301,plain,
union(esk5_0,esk4_0) != union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),
inference(scs_inference,[],[i_0_266,i_0_197,i_0_124,i_0_292,i_0_212,i_0_262,i_0_286,i_0_175,i_0_257,i_0_76,i_0_294,i_0_26,i_0_27,i_0_28,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39]) ).
cnf(i_0_302,plain,
( member(esk2_2(union(esk5_0,esk4_0),esk3_0),esk3_0)
| member(esk2_2(union(esk5_0,esk4_0),esk3_0),union(esk5_0,esk4_0)) ),
inference(scs_inference,[],[i_0_266,i_0_197,i_0_124,i_0_292,i_0_212,i_0_262,i_0_286,i_0_175,i_0_257,i_0_76,i_0_294,i_0_99,i_0_26,i_0_27,i_0_28,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_22]) ).
cnf(i_0_303,plain,
( X1 = X2
| member(esk2_2(X1,X2),X2)
| member(esk2_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_304,plain,
( ~ member(esk2_2(union(esk5_0,esk4_0),esk3_0),union(esk5_0,esk4_0))
| member(esk2_2(union(esk5_0,esk4_0),esk3_0),union(esk5_0,esk4_0)) ),
inference(scs_inference,[],[i_0_266,i_0_197,i_0_124,i_0_292,i_0_212,i_0_262,i_0_286,i_0_175,i_0_257,i_0_76,i_0_294,i_0_99,i_0_26,i_0_27,i_0_28,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_22,i_0_19]) ).
cnf(i_0_305,plain,
( ~ member(esk2_2(X1,X2),X2)
| X1 = X2
| ~ member(esk2_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_306,plain,
( ~ member(esk2_2(union(esk5_0,esk4_0),esk3_0),union(union(esk5_0,esk4_0),union(esk5_0,esk4_0)))
| member(esk2_2(union(esk5_0,esk4_0),esk3_0),union(esk5_0,esk4_0)) ),
inference(scs_inference,[],[i_0_266,i_0_197,i_0_124,i_0_292,i_0_212,i_0_262,i_0_286,i_0_175,i_0_257,i_0_76,i_0_294,i_0_99,i_0_26,i_0_27,i_0_28,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_22,i_0_19,i_0_20]) ).
cnf(i_0_307,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_308,plain,
( ~ subset(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),union(esk5_0,esk4_0))
| ~ subset(union(esk5_0,esk4_0),union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)))
| member(esk2_2(union(esk5_0,esk4_0),esk3_0),union(esk5_0,esk4_0)) ),
inference(scs_inference,[],[i_0_266,i_0_197,i_0_124,i_0_292,i_0_212,i_0_262,i_0_286,i_0_175,i_0_257,i_0_76,i_0_294,i_0_99,i_0_26,i_0_27,i_0_28,i_0_21,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_22,i_0_19,i_0_20,i_0_32]) ).
cnf(i_0_309,plain,
~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0)),union(esk5_0,esk4_0)),
inference(scs_inference,[],[i_0_113,i_0_69,i_0_28]) ).
cnf(i_0_310,plain,
subset(union(X1,X2),union(X2,X1)),
inference(rename_variables,[],[i_0_69]) ).
cnf(i_0_311,plain,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_312,plain,
intersection(union(X1,X1),intersection(X2,X3)) = intersection(intersection(X3,X2),union(X1,X1)),
inference(scs_inference,[],[i_0_113,i_0_298,i_0_69,i_0_209,i_0_28,i_0_32]) ).
cnf(i_0_313,plain,
subset(intersection(intersection(X1,X2),union(X3,X4)),intersection(union(X4,X3),intersection(X2,X1))),
inference(rename_variables,[],[i_0_298]) ).
cnf(i_0_314,plain,
subset(intersection(X1,intersection(X2,X3)),intersection(intersection(X3,X2),X1)),
inference(rename_variables,[],[i_0_209]) ).
cnf(i_0_315,plain,
( ~ subset(X1,X2)
| X2 = X1
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_316,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(union(X1,esk3_0),union(esk3_0,X1))),
inference(scs_inference,[],[i_0_113,i_0_298,i_0_288,i_0_69,i_0_124,i_0_209,i_0_28,i_0_32,i_0_46]) ).
cnf(i_0_317,plain,
intersection(X1,union(X2,X3)) = intersection(X1,union(X3,X2)),
inference(rename_variables,[],[i_0_124]) ).
cnf(i_0_318,plain,
union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)) != union(esk5_0,esk4_0),
inference(scs_inference,[],[i_0_293,i_0_113,i_0_298,i_0_288,i_0_69,i_0_124,i_0_209,i_0_75,i_0_28,i_0_32,i_0_46,i_0_40]) ).
cnf(i_0_319,plain,
union(intersection(X1,X2),X3) = union(intersection(X2,X1),X3),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_320,plain,
subset(union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),esk3_0),
inference(scs_inference,[],[i_0_293,i_0_255,i_0_113,i_0_298,i_0_288,i_0_69,i_0_310,i_0_124,i_0_209,i_0_75,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48]) ).
cnf(i_0_321,plain,
subset(union(X1,X2),union(X2,X1)),
inference(rename_variables,[],[i_0_69]) ).
cnf(i_0_322,plain,
subset(esk3_0,union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0))),
inference(scs_inference,[],[i_0_293,i_0_255,i_0_113,i_0_298,i_0_288,i_0_69,i_0_310,i_0_321,i_0_124,i_0_209,i_0_75,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_323,plain,
subset(union(X1,X2),union(X2,X1)),
inference(rename_variables,[],[i_0_69]) ).
cnf(i_0_324,plain,
union(esk5_0,esk4_0) != union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)),
inference(scs_inference,[],[i_0_293,i_0_255,i_0_113,i_0_298,i_0_288,i_0_69,i_0_310,i_0_321,i_0_124,i_0_209,i_0_75,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39]) ).
cnf(i_0_325,plain,
( ~ member(esk2_2(esk3_0,union(esk4_0,esk5_0)),union(esk4_0,esk5_0))
| ~ member(esk2_2(esk3_0,union(esk4_0,esk5_0)),esk3_0) ),
inference(scs_inference,[],[i_0_293,i_0_255,i_0_113,i_0_298,i_0_288,i_0_69,i_0_310,i_0_321,i_0_124,i_0_209,i_0_75,i_0_166,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_19]) ).
cnf(i_0_326,plain,
( X1 = X2
| ~ member(esk2_2(X1,X2),X2)
| ~ member(esk2_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_327,plain,
( ~ member(esk2_2(esk3_0,union(esk4_0,esk5_0)),union(union(esk4_0,esk5_0),union(esk4_0,esk5_0)))
| ~ member(esk2_2(esk3_0,union(esk4_0,esk5_0)),esk3_0) ),
inference(scs_inference,[],[i_0_293,i_0_255,i_0_113,i_0_298,i_0_288,i_0_69,i_0_310,i_0_321,i_0_124,i_0_209,i_0_75,i_0_166,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_19,i_0_20]) ).
cnf(i_0_328,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_329,plain,
( ~ member(esk2_2(esk3_0,union(esk4_0,esk5_0)),esk3_0)
| ~ member(esk2_2(esk3_0,union(esk4_0,esk5_0)),intersection(union(esk4_0,esk5_0),X1)) ),
inference(scs_inference,[],[i_0_293,i_0_255,i_0_113,i_0_298,i_0_288,i_0_69,i_0_310,i_0_321,i_0_124,i_0_209,i_0_75,i_0_166,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_19,i_0_20,i_0_24]) ).
cnf(i_0_330,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_331,plain,
( ~ member(esk2_2(esk3_0,union(esk4_0,esk5_0)),esk3_0)
| ~ member(esk2_2(esk3_0,union(esk4_0,esk5_0)),intersection(X1,union(esk4_0,esk5_0))) ),
inference(scs_inference,[],[i_0_293,i_0_255,i_0_113,i_0_298,i_0_288,i_0_69,i_0_310,i_0_321,i_0_124,i_0_209,i_0_75,i_0_166,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_19,i_0_20,i_0_24,i_0_25]) ).
cnf(i_0_332,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_333,plain,
( member(X1,union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)))
| esk1_2(esk3_0,union(esk5_0,esk4_0)) != X1
| ~ member(esk2_2(esk3_0,union(esk4_0,esk5_0)),esk3_0) ),
inference(scs_inference,[],[i_0_293,i_0_255,i_0_113,i_0_298,i_0_227,i_0_288,i_0_69,i_0_310,i_0_321,i_0_124,i_0_209,i_0_75,i_0_166,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_19,i_0_20,i_0_24,i_0_25,i_0_45]) ).
cnf(i_0_334,plain,
( ~ member(esk2_2(esk3_0,union(esk4_0,esk5_0)),esk3_0)
| member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0))) ),
inference(equality_inference,[],[333]) ).
cnf(i_0_335,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0))),
inference(scs_inference,[],[i_0_322,i_0_81,i_0_28]) ).
cnf(i_0_336,plain,
( ~ subset(X1,X2)
| member(X3,X2)
| ~ member(X3,X1) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_337,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(union(esk3_0,X1),union(X1,esk3_0))),
inference(scs_inference,[],[i_0_322,i_0_129,i_0_123,i_0_81,i_0_28,i_0_46]) ).
cnf(i_0_338,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(union(X1,esk3_0),union(X1,esk3_0))),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_339,plain,
intersection(union(X1,X2),X3) = intersection(union(X2,X1),X3),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_340,plain,
union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)) != union(esk4_0,esk5_0),
inference(scs_inference,[],[i_0_235,i_0_322,i_0_129,i_0_123,i_0_81,i_0_34,i_0_28,i_0_46,i_0_40]) ).
cnf(i_0_341,plain,
union(X1,X2) = union(X2,X1),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_342,plain,
subset(union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0))),
inference(scs_inference,[],[i_0_235,i_0_322,i_0_320,i_0_129,i_0_55,i_0_123,i_0_81,i_0_34,i_0_28,i_0_46,i_0_40,i_0_48]) ).
cnf(i_0_343,plain,
subset(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0))),
inference(scs_inference,[],[i_0_235,i_0_322,i_0_320,i_0_129,i_0_55,i_0_123,i_0_81,i_0_34,i_0_28,i_0_46,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_344,plain,
union(esk4_0,esk5_0) != union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)),
inference(scs_inference,[],[i_0_235,i_0_322,i_0_320,i_0_129,i_0_55,i_0_123,i_0_81,i_0_34,i_0_28,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39]) ).
cnf(i_0_345,plain,
( ~ subset(union(esk4_0,esk5_0),union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)))
| ~ subset(union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)),union(esk4_0,esk5_0)) ),
inference(scs_inference,[],[i_0_235,i_0_322,i_0_320,i_0_129,i_0_55,i_0_123,i_0_81,i_0_34,i_0_28,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_32]) ).
cnf(i_0_346,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_347,plain,
( member(intersection(intersection(X1,X2),union(X3,X3)),X4)
| ~ member(intersection(union(X3,X3),intersection(X2,X1)),X4) ),
inference(scs_inference,[],[i_0_235,i_0_322,i_0_320,i_0_312,i_0_129,i_0_55,i_0_123,i_0_81,i_0_34,i_0_28,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_32,i_0_45]) ).
cnf(i_0_348,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(union(esk4_0,esk5_0),union(esk4_0,esk5_0))),
inference(scs_inference,[],[i_0_264,i_0_285,i_0_28]) ).
cnf(i_0_349,plain,
subset(union(X1,union(X2,X3)),union(X1,union(X3,X2))),
inference(rename_variables,[],[i_0_264]) ).
cnf(i_0_350,plain,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_351,plain,
union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)) = union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_264,i_0_285,i_0_342,i_0_343,i_0_28,i_0_32]) ).
cnf(i_0_352,plain,
( ~ subset(X1,X2)
| X2 = X1
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_353,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0))),
inference(scs_inference,[],[i_0_264,i_0_285,i_0_233,i_0_342,i_0_343,i_0_76,i_0_28,i_0_32,i_0_46]) ).
cnf(i_0_354,plain,
union(X1,intersection(X2,X3)) = union(X1,intersection(X3,X2)),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_355,plain,
union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)) != union(esk4_0,esk5_0),
inference(scs_inference,[],[i_0_340,i_0_264,i_0_285,i_0_233,i_0_342,i_0_343,i_0_76,i_0_354,i_0_28,i_0_32,i_0_46,i_0_40]) ).
cnf(i_0_356,plain,
union(X1,intersection(X2,X3)) = union(X1,intersection(X3,X2)),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_357,plain,
subset(union(union(X1,X2),union(X3,X4)),union(union(X2,X1),union(X4,X3))),
inference(scs_inference,[],[i_0_340,i_0_264,i_0_349,i_0_285,i_0_233,i_0_342,i_0_343,i_0_121,i_0_76,i_0_354,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48]) ).
cnf(i_0_358,plain,
union(union(X1,X2),X3) = union(union(X2,X1),X3),
inference(rename_variables,[],[i_0_121]) ).
cnf(i_0_359,plain,
subset(union(X1,union(X2,X3)),union(X1,union(X3,X2))),
inference(rename_variables,[],[i_0_264]) ).
cnf(i_0_360,plain,
subset(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0))),
inference(scs_inference,[],[i_0_340,i_0_264,i_0_349,i_0_285,i_0_233,i_0_342,i_0_343,i_0_63,i_0_138,i_0_121,i_0_76,i_0_354,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_361,plain,
union(esk4_0,esk5_0) != union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_340,i_0_264,i_0_349,i_0_285,i_0_233,i_0_342,i_0_343,i_0_63,i_0_138,i_0_121,i_0_76,i_0_354,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39]) ).
cnf(i_0_362,plain,
( member(X1,intersection(intersection(esk3_0,esk3_0),intersection(esk3_0,esk3_0)))
| esk1_2(esk3_0,union(esk5_0,esk4_0)) != X1 ),
inference(scs_inference,[],[i_0_340,i_0_264,i_0_349,i_0_285,i_0_157,i_0_233,i_0_342,i_0_343,i_0_63,i_0_138,i_0_121,i_0_76,i_0_354,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_45]) ).
cnf(i_0_363,plain,
( member(intersection(intersection(X1,X2),union(X3,X3)),intersection(intersection(esk3_0,esk3_0),intersection(esk3_0,esk3_0)))
| esk1_2(esk3_0,union(esk5_0,esk4_0)) != intersection(union(X3,X3),intersection(X2,X1)) ),
inference(scs_inference,[],[i_0_340,i_0_264,i_0_349,i_0_285,i_0_157,i_0_233,i_0_342,i_0_343,i_0_63,i_0_138,i_0_121,i_0_76,i_0_354,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_39,i_0_45,i_0_347]) ).
cnf(i_0_364,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(intersection(esk3_0,esk3_0),intersection(esk3_0,esk3_0))),
inference(equality_inference,[],[362]) ).
cnf(i_0_365,plain,
union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)) = union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),
inference(scs_inference,[],[i_0_351,i_0_39]) ).
cnf(i_0_366,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0))),
inference(scs_inference,[],[i_0_351,i_0_164,i_0_81,i_0_39,i_0_28]) ).
cnf(i_0_367,plain,
( ~ subset(X1,X2)
| member(X3,X2)
| ~ member(X3,X1) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_368,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0))),
inference(scs_inference,[],[i_0_335,i_0_351,i_0_164,i_0_75,i_0_81,i_0_39,i_0_28,i_0_46]) ).
cnf(i_0_369,plain,
union(intersection(X1,X2),X3) = union(intersection(X2,X1),X3),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_370,plain,
union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)) != union(esk5_0,esk4_0),
inference(scs_inference,[],[i_0_335,i_0_351,i_0_83,i_0_164,i_0_75,i_0_81,i_0_39,i_0_28,i_0_46,i_0_40]) ).
cnf(i_0_371,plain,
subset(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0))),
inference(scs_inference,[],[i_0_335,i_0_351,i_0_83,i_0_185,i_0_164,i_0_65,i_0_75,i_0_81,i_0_39,i_0_28,i_0_46,i_0_40,i_0_48]) ).
cnf(i_0_372,plain,
subset(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),esk3_0),
inference(scs_inference,[],[i_0_335,i_0_351,i_0_83,i_0_185,i_0_320,i_0_164,i_0_65,i_0_75,i_0_369,i_0_81,i_0_39,i_0_28,i_0_46,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_373,plain,
union(intersection(X1,X2),X3) = union(intersection(X2,X1),X3),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_374,plain,
( ~ subset(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)))
| union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)) = union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)) ),
inference(scs_inference,[],[i_0_360,i_0_335,i_0_351,i_0_83,i_0_185,i_0_320,i_0_164,i_0_65,i_0_75,i_0_369,i_0_81,i_0_39,i_0_28,i_0_46,i_0_40,i_0_48,i_0_47,i_0_32]) ).
cnf(i_0_375,plain,
( ~ subset(X1,X2)
| X2 = X1
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_376,plain,
( member(esk2_2(union(esk4_0,esk5_0),esk3_0),esk3_0)
| member(esk2_2(union(esk4_0,esk5_0),esk3_0),union(esk4_0,esk5_0)) ),
inference(scs_inference,[],[i_0_360,i_0_335,i_0_351,i_0_83,i_0_185,i_0_320,i_0_164,i_0_65,i_0_160,i_0_75,i_0_369,i_0_81,i_0_39,i_0_28,i_0_46,i_0_40,i_0_48,i_0_47,i_0_32,i_0_22]) ).
cnf(i_0_377,plain,
( X1 = X2
| member(esk2_2(X1,X2),X2)
| member(esk2_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_378,plain,
union(esk5_0,esk4_0) != union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_370,i_0_39]) ).
cnf(i_0_379,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(union(esk5_0,esk4_0),union(esk5_0,esk4_0))),
inference(scs_inference,[],[i_0_370,i_0_357,i_0_229,i_0_39,i_0_28]) ).
cnf(i_0_380,plain,
subset(union(union(X1,X2),union(X3,X4)),union(union(X2,X1),union(X4,X3))),
inference(rename_variables,[],[i_0_357]) ).
cnf(i_0_381,plain,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_382,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0))),
inference(scs_inference,[],[i_0_370,i_0_357,i_0_229,i_0_201,i_0_119,i_0_39,i_0_28,i_0_46]) ).
cnf(i_0_383,plain,
union(esk5_0,esk4_0) != union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_370,i_0_361,i_0_357,i_0_229,i_0_201,i_0_119,i_0_34,i_0_39,i_0_28,i_0_46,i_0_40]) ).
cnf(i_0_384,plain,
union(X1,X2) = union(X2,X1),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_385,plain,
subset(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0))),
inference(scs_inference,[],[i_0_370,i_0_361,i_0_357,i_0_229,i_0_365,i_0_91,i_0_201,i_0_119,i_0_34,i_0_39,i_0_28,i_0_46,i_0_40,i_0_48]) ).
cnf(i_0_386,plain,
subset(union(intersection(X1,X2),X3),union(intersection(X2,X1),X3)),
inference(rename_variables,[],[i_0_91]) ).
cnf(i_0_387,plain,
subset(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0))),
inference(scs_inference,[],[i_0_370,i_0_361,i_0_357,i_0_229,i_0_365,i_0_91,i_0_386,i_0_201,i_0_119,i_0_34,i_0_39,i_0_28,i_0_46,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_388,plain,
subset(union(intersection(X1,X2),X3),union(intersection(X2,X1),X3)),
inference(rename_variables,[],[i_0_91]) ).
cnf(i_0_389,plain,
( ~ subset(union(esk5_0,esk4_0),union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)))
| ~ subset(union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)),union(esk5_0,esk4_0)) ),
inference(scs_inference,[],[i_0_318,i_0_370,i_0_361,i_0_357,i_0_229,i_0_365,i_0_91,i_0_386,i_0_201,i_0_119,i_0_34,i_0_39,i_0_28,i_0_46,i_0_40,i_0_48,i_0_47,i_0_32]) ).
cnf(i_0_390,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_391,plain,
( ~ member(esk2_2(esk3_0,union(esk5_0,esk4_0)),union(esk5_0,esk4_0))
| ~ member(esk2_2(esk3_0,union(esk5_0,esk4_0)),esk3_0) ),
inference(scs_inference,[],[i_0_318,i_0_370,i_0_361,i_0_357,i_0_229,i_0_365,i_0_91,i_0_386,i_0_201,i_0_90,i_0_119,i_0_34,i_0_39,i_0_28,i_0_46,i_0_40,i_0_48,i_0_47,i_0_32,i_0_19]) ).
cnf(i_0_392,plain,
( X1 = X2
| ~ member(esk2_2(X1,X2),X2)
| ~ member(esk2_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_393,plain,
intersection(intersection(X1,X2),union(X3,X3)) = intersection(union(X3,X3),intersection(X2,X1)),
inference(scs_inference,[],[i_0_312,i_0_39]) ).
cnf(i_0_394,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0))),
inference(scs_inference,[],[i_0_371,i_0_382,i_0_312,i_0_39,i_0_28]) ).
cnf(i_0_395,plain,
( ~ subset(X1,X2)
| member(X3,X2)
| ~ member(X3,X1) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_396,plain,
union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)) = union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),
inference(scs_inference,[],[i_0_387,i_0_385,i_0_371,i_0_382,i_0_312,i_0_39,i_0_28,i_0_32]) ).
cnf(i_0_397,plain,
( ~ subset(X1,X2)
| X2 = X1
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_398,plain,
union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)) != union(esk4_0,esk5_0),
inference(scs_inference,[],[i_0_387,i_0_385,i_0_371,i_0_382,i_0_312,i_0_153,i_0_351,i_0_39,i_0_28,i_0_32,i_0_40]) ).
cnf(i_0_399,plain,
subset(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0))),
inference(scs_inference,[],[i_0_372,i_0_387,i_0_385,i_0_371,i_0_382,i_0_312,i_0_153,i_0_138,i_0_351,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48]) ).
cnf(i_0_400,plain,
subset(union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)),esk3_0),
inference(scs_inference,[],[i_0_372,i_0_387,i_0_385,i_0_371,i_0_382,i_0_312,i_0_153,i_0_138,i_0_351,i_0_76,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_401,plain,
union(X1,intersection(X2,X3)) = union(X1,intersection(X3,X2)),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_402,plain,
( member(intersection(intersection(X1,X2),X3),X4)
| ~ member(intersection(intersection(X2,X1),X3),X4) ),
inference(scs_inference,[],[i_0_372,i_0_387,i_0_385,i_0_371,i_0_382,i_0_312,i_0_77,i_0_153,i_0_138,i_0_351,i_0_76,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_45]) ).
cnf(i_0_403,plain,
( member(intersection(intersection(X1,X2),X3),intersection(esk3_0,esk3_0))
| esk1_2(esk3_0,union(esk5_0,esk4_0)) != intersection(intersection(X2,X1),X3) ),
inference(scs_inference,[],[i_0_372,i_0_387,i_0_385,i_0_371,i_0_382,i_0_312,i_0_77,i_0_153,i_0_138,i_0_351,i_0_76,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_45,i_0_167]) ).
cnf(i_0_404,plain,
( member(intersection(intersection(X1,X2),union(X3,X3)),intersection(esk3_0,esk3_0))
| ~ member(intersection(union(X3,X3),intersection(X1,X2)),intersection(esk3_0,esk3_0)) ),
inference(scs_inference,[],[i_0_372,i_0_387,i_0_385,i_0_371,i_0_382,i_0_312,i_0_77,i_0_153,i_0_138,i_0_351,i_0_76,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_45,i_0_167,i_0_347]) ).
cnf(i_0_405,plain,
( member(intersection(intersection(X1,X2),union(X3,X3)),intersection(esk3_0,esk3_0))
| ~ member(intersection(intersection(X2,X1),union(X3,X3)),intersection(intersection(esk3_0,esk3_0),X4)) ),
inference(scs_inference,[],[i_0_372,i_0_387,i_0_385,i_0_371,i_0_382,i_0_312,i_0_77,i_0_153,i_0_138,i_0_351,i_0_76,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_45,i_0_167,i_0_347,i_0_24]) ).
cnf(i_0_406,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_407,plain,
( member(intersection(intersection(X1,X2),union(X3,X3)),intersection(esk3_0,esk3_0))
| ~ member(intersection(intersection(X2,X1),union(X3,X3)),intersection(X4,intersection(esk3_0,esk3_0))) ),
inference(scs_inference,[],[i_0_372,i_0_387,i_0_385,i_0_371,i_0_382,i_0_312,i_0_77,i_0_153,i_0_138,i_0_351,i_0_76,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_45,i_0_167,i_0_347,i_0_24,i_0_25]) ).
cnf(i_0_408,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_409,plain,
( member(intersection(intersection(X1,X2),union(X3,X3)),intersection(esk3_0,esk3_0))
| ~ member(intersection(intersection(X2,X1),union(X3,X3)),union(intersection(esk3_0,esk3_0),intersection(esk3_0,esk3_0))) ),
inference(scs_inference,[],[i_0_372,i_0_387,i_0_385,i_0_371,i_0_382,i_0_312,i_0_77,i_0_153,i_0_138,i_0_351,i_0_76,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_45,i_0_167,i_0_347,i_0_24,i_0_25,i_0_20]) ).
cnf(i_0_410,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_411,plain,
union(esk4_0,esk5_0) != union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_398,i_0_39]) ).
cnf(i_0_412,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(union(esk5_0,esk4_0),union(esk4_0,esk5_0))),
inference(scs_inference,[],[i_0_398,i_0_348,i_0_262,i_0_39,i_0_28]) ).
cnf(i_0_413,plain,
subset(union(union(X1,X2),X3),union(union(X2,X1),X3)),
inference(rename_variables,[],[i_0_262]) ).
cnf(i_0_414,plain,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_415,plain,
union(esk5_0,esk4_0) != union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)),
inference(scs_inference,[],[i_0_398,i_0_344,i_0_348,i_0_262,i_0_34,i_0_39,i_0_28,i_0_40]) ).
cnf(i_0_416,plain,
union(X1,X2) = union(X2,X1),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_417,plain,
subset(intersection(union(X1,X1),intersection(X2,X3)),intersection(union(X1,X1),intersection(X3,X2))),
inference(scs_inference,[],[i_0_398,i_0_344,i_0_393,i_0_348,i_0_262,i_0_67,i_0_34,i_0_39,i_0_28,i_0_40,i_0_48]) ).
cnf(i_0_418,plain,
subset(intersection(X1,X2),intersection(X2,X1)),
inference(rename_variables,[],[i_0_67]) ).
cnf(i_0_419,plain,
subset(intersection(union(X1,X2),X3),intersection(X3,union(X2,X1))),
inference(scs_inference,[],[i_0_398,i_0_344,i_0_393,i_0_348,i_0_262,i_0_67,i_0_418,i_0_123,i_0_34,i_0_39,i_0_28,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_420,plain,
intersection(union(X1,X2),X3) = intersection(union(X2,X1),X3),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_421,plain,
subset(intersection(X1,X2),intersection(X2,X1)),
inference(rename_variables,[],[i_0_67]) ).
cnf(i_0_422,plain,
~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk5_0,esk4_0)),esk5_0),
inference(scs_inference,[],[i_0_398,i_0_344,i_0_79,i_0_393,i_0_348,i_0_262,i_0_67,i_0_418,i_0_123,i_0_34,i_0_39,i_0_28,i_0_40,i_0_48,i_0_47,i_0_26]) ).
cnf(i_0_423,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_424,plain,
~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk5_0,esk4_0)),esk4_0),
inference(scs_inference,[],[i_0_398,i_0_344,i_0_79,i_0_393,i_0_348,i_0_262,i_0_67,i_0_418,i_0_123,i_0_34,i_0_39,i_0_28,i_0_40,i_0_48,i_0_47,i_0_26,i_0_27]) ).
cnf(i_0_425,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_426,plain,
~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk5_0,esk4_0)),union(esk5_0,esk5_0)),
inference(scs_inference,[],[i_0_398,i_0_344,i_0_79,i_0_393,i_0_348,i_0_262,i_0_67,i_0_418,i_0_123,i_0_34,i_0_39,i_0_28,i_0_40,i_0_48,i_0_47,i_0_26,i_0_27,i_0_20]) ).
cnf(i_0_427,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_428,plain,
( ~ subset(union(esk4_0,esk5_0),union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)))
| ~ subset(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),union(esk4_0,esk5_0)) ),
inference(scs_inference,[],[i_0_355,i_0_398,i_0_344,i_0_79,i_0_393,i_0_348,i_0_262,i_0_67,i_0_418,i_0_123,i_0_34,i_0_39,i_0_28,i_0_40,i_0_48,i_0_47,i_0_26,i_0_27,i_0_20,i_0_32]) ).
cnf(i_0_429,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_430,plain,
( member(X1,union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)))
| esk1_2(esk3_0,union(esk4_0,esk5_0)) != X1 ),
inference(scs_inference,[],[i_0_355,i_0_398,i_0_344,i_0_79,i_0_393,i_0_348,i_0_394,i_0_262,i_0_67,i_0_418,i_0_123,i_0_34,i_0_39,i_0_28,i_0_40,i_0_48,i_0_47,i_0_26,i_0_27,i_0_20,i_0_32,i_0_45]) ).
cnf(i_0_431,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0))),
inference(equality_inference,[],[430]) ).
cnf(i_0_432,plain,
union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)) = union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_396,i_0_39]) ).
cnf(i_0_433,plain,
~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk5_0,esk4_0)),union(esk4_0,esk4_0)),
inference(scs_inference,[],[i_0_396,i_0_424,i_0_39,i_0_20]) ).
cnf(i_0_434,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_435,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(union(esk4_0,esk5_0),X1)),
inference(scs_inference,[],[i_0_419,i_0_189,i_0_396,i_0_424,i_0_39,i_0_20,i_0_28]) ).
cnf(i_0_436,plain,
subset(intersection(union(X1,X2),X3),intersection(X3,union(X2,X1))),
inference(rename_variables,[],[i_0_419]) ).
cnf(i_0_437,plain,
( ~ subset(X1,X2)
| member(X3,X2)
| ~ member(X3,X1) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_438,plain,
union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)) = esk3_0,
inference(scs_inference,[],[i_0_419,i_0_189,i_0_396,i_0_424,i_0_183,i_0_185,i_0_39,i_0_20,i_0_28,i_0_32]) ).
cnf(i_0_439,plain,
( ~ subset(X1,X2)
| X2 = X1
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_440,plain,
union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)) != union(esk5_0,esk4_0),
inference(scs_inference,[],[i_0_419,i_0_189,i_0_396,i_0_424,i_0_183,i_0_83,i_0_185,i_0_39,i_0_20,i_0_28,i_0_32,i_0_40]) ).
cnf(i_0_441,plain,
subset(union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)),union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0))),
inference(scs_inference,[],[i_0_400,i_0_419,i_0_189,i_0_396,i_0_424,i_0_183,i_0_83,i_0_185,i_0_55,i_0_39,i_0_20,i_0_28,i_0_32,i_0_40,i_0_48]) ).
cnf(i_0_442,plain,
subset(intersection(union(X1,X2),intersection(X3,X4)),intersection(intersection(X4,X3),union(X2,X1))),
inference(scs_inference,[],[i_0_400,i_0_419,i_0_436,i_0_189,i_0_396,i_0_424,i_0_183,i_0_78,i_0_83,i_0_185,i_0_55,i_0_39,i_0_20,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_443,plain,
subset(intersection(union(X1,X2),X3),intersection(X3,union(X2,X1))),
inference(rename_variables,[],[i_0_419]) ).
cnf(i_0_444,plain,
intersection(X1,intersection(X2,X3)) = intersection(X1,intersection(X3,X2)),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_445,plain,
~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk5_0,esk4_0)),intersection(esk5_0,X1)),
inference(scs_inference,[],[i_0_400,i_0_419,i_0_436,i_0_189,i_0_396,i_0_422,i_0_424,i_0_183,i_0_78,i_0_83,i_0_185,i_0_55,i_0_39,i_0_20,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_24]) ).
cnf(i_0_446,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_447,plain,
~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk5_0,esk4_0)),intersection(X1,esk5_0)),
inference(scs_inference,[],[i_0_400,i_0_419,i_0_436,i_0_189,i_0_396,i_0_422,i_0_424,i_0_183,i_0_78,i_0_83,i_0_185,i_0_55,i_0_39,i_0_20,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25]) ).
cnf(i_0_448,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_449,plain,
( member(esk2_2(esk3_0,union(esk5_0,esk4_0)),union(esk5_0,esk4_0))
| member(esk2_2(esk3_0,union(esk5_0,esk4_0)),esk3_0) ),
inference(scs_inference,[],[i_0_400,i_0_419,i_0_436,i_0_189,i_0_396,i_0_422,i_0_424,i_0_183,i_0_78,i_0_83,i_0_185,i_0_55,i_0_90,i_0_39,i_0_20,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_22]) ).
cnf(i_0_450,plain,
( X1 = X2
| member(esk2_2(X1,X2),X2)
| member(esk2_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_451,plain,
( ~ member(esk2_2(esk3_0,union(esk5_0,esk4_0)),esk3_0)
| member(esk2_2(esk3_0,union(esk5_0,esk4_0)),esk3_0) ),
inference(scs_inference,[],[i_0_400,i_0_419,i_0_436,i_0_189,i_0_396,i_0_422,i_0_424,i_0_183,i_0_78,i_0_83,i_0_185,i_0_55,i_0_90,i_0_39,i_0_20,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_22,i_0_19]) ).
cnf(i_0_452,plain,
( ~ member(esk2_2(X1,X2),X2)
| X1 = X2
| ~ member(esk2_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_453,plain,
( member(esk2_2(esk3_0,union(esk5_0,esk4_0)),esk3_0)
| member(esk2_2(esk3_0,union(esk5_0,esk4_0)),intersection(union(esk5_0,esk4_0),union(esk5_0,esk4_0))) ),
inference(scs_inference,[],[i_0_400,i_0_419,i_0_436,i_0_189,i_0_396,i_0_422,i_0_424,i_0_183,i_0_78,i_0_83,i_0_185,i_0_55,i_0_90,i_0_39,i_0_20,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_22,i_0_19,i_0_21]) ).
cnf(i_0_454,plain,
( ~ member(X1,X2)
| ~ member(X1,X3)
| member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_455,plain,
( member(esk2_2(esk3_0,union(esk5_0,esk4_0)),union(esk4_0,esk5_0))
| member(esk2_2(esk3_0,union(esk5_0,esk4_0)),esk3_0) ),
inference(scs_inference,[],[i_0_400,i_0_419,i_0_436,i_0_189,i_0_396,i_0_422,i_0_424,i_0_183,i_0_78,i_0_83,i_0_185,i_0_55,i_0_90,i_0_34,i_0_39,i_0_20,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_22,i_0_19,i_0_21,i_0_46]) ).
cnf(i_0_456,plain,
union(X1,X2) = union(X2,X1),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_457,plain,
( member(esk2_2(esk3_0,union(esk5_0,esk4_0)),esk3_0)
| member(esk2_2(esk3_0,union(esk5_0,esk4_0)),union(union(esk5_0,esk4_0),X1)) ),
inference(scs_inference,[],[i_0_400,i_0_419,i_0_436,i_0_189,i_0_396,i_0_422,i_0_424,i_0_183,i_0_78,i_0_83,i_0_185,i_0_55,i_0_90,i_0_34,i_0_39,i_0_20,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_22,i_0_19,i_0_21,i_0_46,i_0_26]) ).
cnf(i_0_458,plain,
( ~ member(X1,X2)
| member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_459,plain,
( member(esk2_2(esk3_0,union(esk5_0,esk4_0)),esk3_0)
| member(esk2_2(esk3_0,union(esk5_0,esk4_0)),union(X1,union(esk5_0,esk4_0))) ),
inference(scs_inference,[],[i_0_400,i_0_419,i_0_436,i_0_189,i_0_396,i_0_422,i_0_424,i_0_183,i_0_78,i_0_83,i_0_185,i_0_55,i_0_90,i_0_34,i_0_39,i_0_20,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_22,i_0_19,i_0_21,i_0_46,i_0_26,i_0_27]) ).
cnf(i_0_460,plain,
( ~ member(X1,X2)
| member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_462,plain,
~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk5_0,esk4_0)),esk5_0),
inference(scs_inference,[],[i_0_147,i_0_26]) ).
cnf(i_0_463,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_464,plain,
~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk5_0,esk4_0)),esk4_0),
inference(scs_inference,[],[i_0_147,i_0_26,i_0_27]) ).
cnf(i_0_465,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_466,plain,
union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)) != union(esk5_0,esk4_0),
inference(scs_inference,[],[i_0_415,i_0_147,i_0_26,i_0_27,i_0_39]) ).
cnf(i_0_467,plain,
~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk5_0,esk4_0)),union(esk5_0,esk5_0)),
inference(scs_inference,[],[i_0_415,i_0_147,i_0_26,i_0_27,i_0_39,i_0_20]) ).
cnf(i_0_468,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_469,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(intersection(X1,X2),union(esk4_0,esk5_0))),
inference(scs_inference,[],[i_0_415,i_0_147,i_0_435,i_0_212,i_0_26,i_0_27,i_0_39,i_0_20,i_0_28]) ).
cnf(i_0_470,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(union(esk4_0,esk5_0),X1)),
inference(rename_variables,[],[i_0_435]) ).
cnf(i_0_471,plain,
subset(intersection(intersection(X1,X2),X3),intersection(X3,intersection(X2,X1))),
inference(rename_variables,[],[i_0_212]) ).
cnf(i_0_472,plain,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_473,plain,
subset(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0))),
inference(scs_inference,[],[i_0_415,i_0_147,i_0_435,i_0_51,i_0_212,i_0_201,i_0_26,i_0_27,i_0_39,i_0_20,i_0_28,i_0_48]) ).
cnf(i_0_474,plain,
subset(union(intersection(X1,X2),union(X3,X4)),union(union(X4,X3),intersection(X2,X1))),
inference(scs_inference,[],[i_0_415,i_0_147,i_0_295,i_0_435,i_0_51,i_0_212,i_0_201,i_0_34,i_0_26,i_0_27,i_0_39,i_0_20,i_0_28,i_0_48,i_0_47]) ).
cnf(i_0_475,plain,
union(X1,X2) = union(X2,X1),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_476,plain,
( ~ member(esk2_2(union(esk5_0,esk4_0),esk3_0),esk3_0)
| ~ member(esk2_2(union(esk5_0,esk4_0),esk3_0),union(esk5_0,esk4_0)) ),
inference(scs_inference,[],[i_0_415,i_0_147,i_0_295,i_0_435,i_0_51,i_0_212,i_0_201,i_0_99,i_0_34,i_0_26,i_0_27,i_0_39,i_0_20,i_0_28,i_0_48,i_0_47,i_0_19]) ).
cnf(i_0_477,plain,
( X1 = X2
| ~ member(esk2_2(X1,X2),X2)
| ~ member(esk2_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_478,plain,
( esk1_2(esk3_0,union(esk5_0,esk4_0)) != esk2_2(union(esk5_0,esk4_0),esk3_0)
| ~ member(esk2_2(union(esk5_0,esk4_0),esk3_0),union(esk5_0,esk4_0)) ),
inference(scs_inference,[],[i_0_415,i_0_147,i_0_295,i_0_435,i_0_51,i_0_212,i_0_201,i_0_99,i_0_81,i_0_34,i_0_26,i_0_27,i_0_39,i_0_20,i_0_28,i_0_48,i_0_47,i_0_19,i_0_45]) ).
cnf(i_0_479,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_480,plain,
( ~ subset(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),union(esk5_0,esk4_0))
| ~ subset(union(esk5_0,esk4_0),union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)))
| ~ member(esk2_2(union(esk5_0,esk4_0),esk3_0),union(esk5_0,esk4_0)) ),
inference(scs_inference,[],[i_0_440,i_0_415,i_0_147,i_0_295,i_0_435,i_0_51,i_0_212,i_0_201,i_0_99,i_0_81,i_0_34,i_0_26,i_0_27,i_0_39,i_0_20,i_0_28,i_0_48,i_0_47,i_0_19,i_0_45,i_0_32]) ).
cnf(i_0_481,plain,
~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk5_0,esk4_0)),union(esk4_0,esk4_0)),
inference(scs_inference,[],[i_0_464,i_0_20]) ).
cnf(i_0_482,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_483,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0))),
inference(scs_inference,[],[i_0_464,i_0_322,i_0_119,i_0_20,i_0_28]) ).
cnf(i_0_484,plain,
( ~ subset(X1,X2)
| member(X3,X2)
| ~ member(X3,X1) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_485,plain,
intersection(intersection(X1,X2),union(X3,X4)) = intersection(union(X4,X3),intersection(X2,X1)),
inference(scs_inference,[],[i_0_442,i_0_464,i_0_298,i_0_322,i_0_119,i_0_20,i_0_28,i_0_32]) ).
cnf(i_0_486,plain,
subset(intersection(union(X1,X2),intersection(X3,X4)),intersection(intersection(X4,X3),union(X2,X1))),
inference(rename_variables,[],[i_0_442]) ).
cnf(i_0_487,plain,
( ~ subset(X1,X2)
| X2 = X1
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_488,plain,
subset(union(intersection(X1,X2),union(X3,X4)),union(union(X3,X4),intersection(X2,X1))),
inference(scs_inference,[],[i_0_442,i_0_474,i_0_464,i_0_298,i_0_322,i_0_121,i_0_119,i_0_20,i_0_28,i_0_32,i_0_48]) ).
cnf(i_0_489,plain,
subset(union(intersection(X1,X2),union(X3,X4)),union(union(X4,X3),intersection(X2,X1))),
inference(rename_variables,[],[i_0_474]) ).
cnf(i_0_490,plain,
union(union(X1,X2),X3) = union(union(X2,X1),X3),
inference(rename_variables,[],[i_0_121]) ).
cnf(i_0_491,plain,
subset(intersection(intersection(X1,X2),union(X3,X3)),intersection(intersection(X2,X1),union(X3,X3))),
inference(scs_inference,[],[i_0_442,i_0_474,i_0_464,i_0_298,i_0_419,i_0_322,i_0_312,i_0_121,i_0_119,i_0_20,i_0_28,i_0_32,i_0_48,i_0_47]) ).
cnf(i_0_492,plain,
subset(intersection(union(X1,X2),X3),intersection(X3,union(X2,X1))),
inference(rename_variables,[],[i_0_419]) ).
cnf(i_0_493,plain,
intersection(union(X1,X2),intersection(X3,X4)) = intersection(intersection(X4,X3),union(X2,X1)),
inference(scs_inference,[],[i_0_442,i_0_474,i_0_464,i_0_298,i_0_419,i_0_322,i_0_312,i_0_121,i_0_119,i_0_20,i_0_28,i_0_32,i_0_48,i_0_47,i_0_39]) ).
cnf(i_0_494,plain,
( member(esk3_0,X1)
| ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),X1) ),
inference(scs_inference,[],[i_0_442,i_0_474,i_0_464,i_0_438,i_0_298,i_0_419,i_0_322,i_0_312,i_0_121,i_0_119,i_0_20,i_0_28,i_0_32,i_0_48,i_0_47,i_0_39,i_0_45]) ).
cnf(i_0_495,plain,
( member(esk3_0,intersection(union(X1,X1),intersection(X2,X3)))
| ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(intersection(X3,X2),union(X1,X1))) ),
inference(scs_inference,[],[i_0_442,i_0_474,i_0_464,i_0_438,i_0_298,i_0_419,i_0_393,i_0_322,i_0_312,i_0_121,i_0_119,i_0_20,i_0_28,i_0_32,i_0_48,i_0_47,i_0_39,i_0_45,i_0_46]) ).
cnf(i_0_496,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(union(esk5_0,esk4_0),union(esk4_0,esk5_0))),
inference(scs_inference,[],[i_0_379,i_0_264,i_0_28]) ).
cnf(i_0_497,plain,
subset(union(X1,union(X2,X3)),union(X1,union(X3,X2))),
inference(rename_variables,[],[i_0_264]) ).
cnf(i_0_498,plain,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_499,plain,
subset(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0))),
inference(scs_inference,[],[i_0_379,i_0_61,i_0_264,i_0_138,i_0_28,i_0_48]) ).
cnf(i_0_500,plain,
subset(union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0))),
inference(scs_inference,[],[i_0_379,i_0_473,i_0_61,i_0_264,i_0_138,i_0_351,i_0_28,i_0_48,i_0_47]) ).
cnf(i_0_501,plain,
union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)) = union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),
inference(scs_inference,[],[i_0_379,i_0_473,i_0_61,i_0_264,i_0_138,i_0_351,i_0_28,i_0_48,i_0_47,i_0_374]) ).
cnf(i_0_502,plain,
( ~ subset(union(esk5_0,esk4_0),union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)))
| ~ subset(union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)),union(esk5_0,esk4_0)) ),
inference(scs_inference,[],[i_0_379,i_0_473,i_0_466,i_0_61,i_0_264,i_0_138,i_0_351,i_0_28,i_0_48,i_0_47,i_0_374,i_0_32]) ).
cnf(i_0_503,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_504,plain,
( member(X1,union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)))
| esk1_2(esk3_0,union(esk4_0,esk5_0)) != X1 ),
inference(scs_inference,[],[i_0_379,i_0_473,i_0_483,i_0_466,i_0_61,i_0_264,i_0_138,i_0_351,i_0_28,i_0_48,i_0_47,i_0_374,i_0_32,i_0_45]) ).
cnf(i_0_505,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0))),
inference(equality_inference,[],[504]) ).
cnf(i_0_506,plain,
union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)) = union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),
inference(scs_inference,[],[i_0_499,i_0_360,i_0_32]) ).
cnf(i_0_507,plain,
( ~ subset(X1,X2)
| X2 = X1
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_508,plain,
subset(union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)),union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0))),
inference(scs_inference,[],[i_0_499,i_0_162,i_0_360,i_0_65,i_0_32,i_0_48]) ).
cnf(i_0_509,plain,
subset(esk3_0,union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0))),
inference(scs_inference,[],[i_0_30,i_0_499,i_0_162,i_0_387,i_0_360,i_0_65,i_0_32,i_0_48,i_0_47]) ).
cnf(i_0_510,plain,
~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk5_0,esk4_0)),intersection(esk5_0,X1)),
inference(scs_inference,[],[i_0_30,i_0_499,i_0_462,i_0_162,i_0_387,i_0_360,i_0_65,i_0_32,i_0_48,i_0_47,i_0_24]) ).
cnf(i_0_511,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_512,plain,
~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk5_0,esk4_0)),intersection(X1,esk5_0)),
inference(scs_inference,[],[i_0_30,i_0_499,i_0_462,i_0_162,i_0_387,i_0_360,i_0_65,i_0_32,i_0_48,i_0_47,i_0_24,i_0_25]) ).
cnf(i_0_513,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_514,plain,
( ~ member(X1,intersection(union(X2,X2),intersection(X3,X4)))
| member(X1,intersection(union(X2,X2),intersection(X4,X3))) ),
inference(scs_inference,[],[i_0_30,i_0_417,i_0_499,i_0_462,i_0_162,i_0_387,i_0_360,i_0_65,i_0_32,i_0_48,i_0_47,i_0_24,i_0_25,i_0_28]) ).
cnf(i_0_515,plain,
( ~ subset(X1,X2)
| member(X3,X2)
| ~ member(X3,X1) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_516,plain,
( member(esk3_0,intersection(union(X1,X1),intersection(X2,X3)))
| ~ member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),intersection(union(X1,X1),intersection(X3,X2))) ),
inference(scs_inference,[],[i_0_30,i_0_417,i_0_499,i_0_462,i_0_162,i_0_387,i_0_360,i_0_65,i_0_32,i_0_48,i_0_47,i_0_24,i_0_25,i_0_28,i_0_45]) ).
cnf(i_0_517,plain,
( member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),intersection(intersection(X1,X2),union(X3,X3)))
| ~ member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),intersection(union(X3,X3),intersection(X1,X2))) ),
inference(scs_inference,[],[i_0_30,i_0_417,i_0_493,i_0_499,i_0_462,i_0_162,i_0_387,i_0_360,i_0_65,i_0_32,i_0_48,i_0_47,i_0_24,i_0_25,i_0_28,i_0_45,i_0_46]) ).
cnf(i_0_518,plain,
intersection(union(X1,X2),intersection(X3,X4)) = intersection(intersection(X4,X3),union(X2,X1)),
inference(rename_variables,[],[i_0_493]) ).
cnf(i_0_519,plain,
( ~ member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),intersection(union(X1,X1),intersection(X2,X3)))
| member(esk3_0,intersection(intersection(X2,X3),union(X1,X1))) ),
inference(scs_inference,[],[i_0_30,i_0_417,i_0_493,i_0_499,i_0_462,i_0_162,i_0_387,i_0_360,i_0_65,i_0_32,i_0_48,i_0_47,i_0_24,i_0_25,i_0_28,i_0_45,i_0_46,i_0_140]) ).
cnf(i_0_520,plain,
( ~ member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),intersection(union(X1,X1),intersection(X2,X3)))
| member(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),intersection(union(X1,X1),intersection(X3,X2))) ),
inference(scs_inference,[],[i_0_30,i_0_417,i_0_493,i_0_499,i_0_462,i_0_162,i_0_387,i_0_360,i_0_65,i_0_32,i_0_48,i_0_47,i_0_24,i_0_25,i_0_28,i_0_45,i_0_46,i_0_140,i_0_194]) ).
cnf(i_0_521,plain,
( ~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk4_0,esk5_0)),esk4_0)
| ~ member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),intersection(union(X1,X1),intersection(X2,X3))) ),
inference(scs_inference,[],[i_0_30,i_0_199,i_0_417,i_0_493,i_0_499,i_0_462,i_0_162,i_0_387,i_0_360,i_0_65,i_0_32,i_0_48,i_0_47,i_0_24,i_0_25,i_0_28,i_0_45,i_0_46,i_0_140,i_0_194,i_0_26]) ).
cnf(i_0_522,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_523,plain,
( ~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk4_0,esk5_0)),esk5_0)
| ~ member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),intersection(union(X1,X1),intersection(X2,X3))) ),
inference(scs_inference,[],[i_0_30,i_0_199,i_0_417,i_0_493,i_0_499,i_0_462,i_0_162,i_0_387,i_0_360,i_0_65,i_0_32,i_0_48,i_0_47,i_0_24,i_0_25,i_0_28,i_0_45,i_0_46,i_0_140,i_0_194,i_0_26,i_0_27]) ).
cnf(i_0_524,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_525,plain,
( ~ member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),intersection(union(X1,X1),intersection(X2,X3)))
| ~ member(esk2_2(union(esk5_0,esk4_0),union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0))),union(esk5_0,esk4_0))
| ~ member(esk2_2(union(esk5_0,esk4_0),union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0))),union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0))) ),
inference(scs_inference,[],[i_0_30,i_0_199,i_0_417,i_0_493,i_0_499,i_0_462,i_0_260,i_0_162,i_0_387,i_0_360,i_0_65,i_0_32,i_0_48,i_0_47,i_0_24,i_0_25,i_0_28,i_0_45,i_0_46,i_0_140,i_0_194,i_0_26,i_0_27,i_0_19]) ).
cnf(i_0_526,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(union(esk4_0,esk5_0),union(esk5_0,esk4_0))),
inference(scs_inference,[],[i_0_496,i_0_357,i_0_28]) ).
cnf(i_0_527,plain,
subset(union(union(X1,X2),union(X3,X4)),union(union(X2,X1),union(X4,X3))),
inference(rename_variables,[],[i_0_357]) ).
cnf(i_0_528,plain,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_529,plain,
subset(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0))),
inference(scs_inference,[],[i_0_496,i_0_506,i_0_399,i_0_357,i_0_28,i_0_48]) ).
cnf(i_0_530,plain,
subset(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0))),
inference(scs_inference,[],[i_0_496,i_0_506,i_0_399,i_0_93,i_0_357,i_0_28,i_0_48,i_0_47]) ).
cnf(i_0_531,plain,
subset(union(X1,intersection(X2,X3)),union(X1,intersection(X3,X2))),
inference(rename_variables,[],[i_0_93]) ).
cnf(i_0_532,plain,
( ~ subset(union(esk4_0,esk5_0),union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)))
| ~ subset(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),union(esk4_0,esk5_0)) ),
inference(scs_inference,[],[i_0_496,i_0_506,i_0_399,i_0_215,i_0_93,i_0_357,i_0_28,i_0_48,i_0_47,i_0_32]) ).
cnf(i_0_533,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_534,plain,
( member(X1,union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)))
| esk1_2(esk3_0,union(esk5_0,esk4_0)) != X1 ),
inference(scs_inference,[],[i_0_496,i_0_506,i_0_399,i_0_215,i_0_87,i_0_93,i_0_357,i_0_28,i_0_48,i_0_47,i_0_32,i_0_45]) ).
cnf(i_0_535,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0))),
inference(equality_inference,[],[534]) ).
cnf(i_0_536,plain,
esk3_0 = union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_509,i_0_372,i_0_32]) ).
cnf(i_0_537,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_538,plain,
subset(union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)),union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0))),
inference(scs_inference,[],[i_0_509,i_0_508,i_0_501,i_0_372,i_0_32,i_0_48]) ).
cnf(i_0_539,plain,
subset(intersection(intersection(X1,X2),union(X3,X4)),intersection(intersection(X1,X2),union(X4,X3))),
inference(scs_inference,[],[i_0_509,i_0_508,i_0_501,i_0_493,i_0_372,i_0_209,i_0_32,i_0_48,i_0_47]) ).
cnf(i_0_540,plain,
subset(intersection(X1,intersection(X2,X3)),intersection(intersection(X3,X2),X1)),
inference(rename_variables,[],[i_0_209]) ).
cnf(i_0_541,plain,
union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)) = esk3_0,
inference(scs_inference,[],[i_0_509,i_0_508,i_0_501,i_0_493,i_0_372,i_0_209,i_0_32,i_0_48,i_0_47,i_0_39]) ).
cnf(i_0_542,plain,
( ~ member(X1,intersection(intersection(X2,X3),union(X4,X4)))
| member(X1,intersection(intersection(X3,X2),union(X4,X4))) ),
inference(scs_inference,[],[i_0_509,i_0_491,i_0_508,i_0_501,i_0_493,i_0_372,i_0_209,i_0_32,i_0_48,i_0_47,i_0_39,i_0_28]) ).
cnf(i_0_543,plain,
( ~ subset(X1,X2)
| member(X3,X2)
| ~ member(X3,X1) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_544,plain,
( member(X1,intersection(union(X2,X2),intersection(X3,X4)))
| ~ member(X1,intersection(intersection(X3,X4),union(X2,X2))) ),
inference(scs_inference,[],[i_0_509,i_0_491,i_0_508,i_0_485,i_0_501,i_0_493,i_0_372,i_0_209,i_0_32,i_0_48,i_0_47,i_0_39,i_0_28,i_0_46]) ).
cnf(i_0_545,plain,
intersection(intersection(X1,X2),union(X3,X4)) = intersection(union(X4,X3),intersection(X2,X1)),
inference(rename_variables,[],[i_0_485]) ).
cnf(i_0_546,plain,
( ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(intersection(X1,X2),union(X3,X3)))
| member(esk3_0,intersection(intersection(X2,X1),union(X3,X3))) ),
inference(scs_inference,[],[i_0_509,i_0_491,i_0_508,i_0_485,i_0_501,i_0_493,i_0_372,i_0_209,i_0_32,i_0_48,i_0_47,i_0_39,i_0_28,i_0_46,i_0_494]) ).
cnf(i_0_547,plain,
( ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(intersection(X1,X2),union(X3,X3)))
| member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(union(X3,X3),intersection(X2,X1))) ),
inference(scs_inference,[],[i_0_509,i_0_491,i_0_508,i_0_485,i_0_501,i_0_493,i_0_372,i_0_209,i_0_32,i_0_48,i_0_47,i_0_39,i_0_28,i_0_46,i_0_494,i_0_514]) ).
cnf(i_0_548,plain,
( ~ member(X1,intersection(union(X2,X2),intersection(X3,X4)))
| member(X1,intersection(union(X2,X2),intersection(X4,X3))) ),
inference(rename_variables,[],[i_0_514]) ).
cnf(i_0_549,plain,
( ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(intersection(X1,X2),union(X3,X3)))
| member(esk3_0,intersection(union(X3,X3),intersection(X1,X2))) ),
inference(scs_inference,[],[i_0_509,i_0_491,i_0_508,i_0_485,i_0_501,i_0_493,i_0_372,i_0_209,i_0_32,i_0_48,i_0_47,i_0_39,i_0_28,i_0_46,i_0_494,i_0_514,i_0_495]) ).
cnf(i_0_550,plain,
( ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(intersection(X1,X2),union(X3,X3)))
| member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(X2,X1)) ),
inference(scs_inference,[],[i_0_509,i_0_491,i_0_508,i_0_485,i_0_501,i_0_493,i_0_372,i_0_209,i_0_32,i_0_48,i_0_47,i_0_39,i_0_28,i_0_46,i_0_494,i_0_514,i_0_495,i_0_24]) ).
cnf(i_0_551,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X2) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_552,plain,
( ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(intersection(X1,X2),union(X3,X3)))
| member(esk3_0,union(X3,X3)) ),
inference(scs_inference,[],[i_0_509,i_0_491,i_0_508,i_0_485,i_0_501,i_0_493,i_0_372,i_0_209,i_0_32,i_0_48,i_0_47,i_0_39,i_0_28,i_0_46,i_0_494,i_0_514,i_0_495,i_0_24,i_0_25]) ).
cnf(i_0_553,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X3) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_554,plain,
( ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(intersection(X1,X2),union(X3,X3)))
| member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),union(intersection(X2,X1),X4)) ),
inference(scs_inference,[],[i_0_509,i_0_491,i_0_508,i_0_485,i_0_501,i_0_493,i_0_372,i_0_209,i_0_32,i_0_48,i_0_47,i_0_39,i_0_28,i_0_46,i_0_494,i_0_514,i_0_495,i_0_24,i_0_25,i_0_26]) ).
cnf(i_0_555,plain,
( ~ member(X1,X2)
| member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_556,plain,
( ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(intersection(X1,X2),union(X3,X3)))
| member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),union(X4,intersection(X2,X1))) ),
inference(scs_inference,[],[i_0_509,i_0_491,i_0_508,i_0_485,i_0_501,i_0_493,i_0_372,i_0_209,i_0_32,i_0_48,i_0_47,i_0_39,i_0_28,i_0_46,i_0_494,i_0_514,i_0_495,i_0_24,i_0_25,i_0_26,i_0_27]) ).
cnf(i_0_557,plain,
( ~ member(X1,X2)
| member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_558,plain,
( ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(intersection(X1,X2),union(X3,X3)))
| member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(intersection(X2,X1),intersection(X2,X1))) ),
inference(scs_inference,[],[i_0_509,i_0_491,i_0_508,i_0_485,i_0_501,i_0_493,i_0_372,i_0_209,i_0_32,i_0_48,i_0_47,i_0_39,i_0_28,i_0_46,i_0_494,i_0_514,i_0_495,i_0_24,i_0_25,i_0_26,i_0_27,i_0_21]) ).
cnf(i_0_559,plain,
( ~ member(X1,X2)
| ~ member(X1,X3)
| member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_561,plain,
~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk5_0,esk4_0)),intersection(esk4_0,X1)),
inference(scs_inference,[],[i_0_424,i_0_24]) ).
cnf(i_0_562,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_563,plain,
~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk5_0,esk4_0)),intersection(X1,esk4_0)),
inference(scs_inference,[],[i_0_424,i_0_24,i_0_25]) ).
cnf(i_0_564,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_565,plain,
~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0)),esk5_0),
inference(scs_inference,[],[i_0_309,i_0_424,i_0_24,i_0_25,i_0_26]) ).
cnf(i_0_566,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_567,plain,
~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0)),esk4_0),
inference(scs_inference,[],[i_0_309,i_0_424,i_0_24,i_0_25,i_0_26,i_0_27]) ).
cnf(i_0_568,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_569,plain,
~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0)),union(esk5_0,esk5_0)),
inference(scs_inference,[],[i_0_309,i_0_424,i_0_24,i_0_25,i_0_26,i_0_27,i_0_20]) ).
cnf(i_0_570,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_571,plain,
~ subset(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),intersection(intersection(X1,X2),union(esk4_0,esk5_0))),
inference(scs_inference,[],[i_0_309,i_0_469,i_0_368,i_0_424,i_0_24,i_0_25,i_0_26,i_0_27,i_0_20,i_0_28]) ).
cnf(i_0_572,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_573,plain,
union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)) = union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),
inference(scs_inference,[],[i_0_309,i_0_469,i_0_530,i_0_368,i_0_371,i_0_424,i_0_24,i_0_25,i_0_26,i_0_27,i_0_20,i_0_28,i_0_32]) ).
cnf(i_0_574,plain,
( ~ subset(X1,X2)
| X2 = X1
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_575,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0))),
inference(scs_inference,[],[i_0_536,i_0_309,i_0_469,i_0_530,i_0_368,i_0_371,i_0_424,i_0_119,i_0_24,i_0_25,i_0_26,i_0_27,i_0_20,i_0_28,i_0_32,i_0_46]) ).
cnf(i_0_576,plain,
subset(union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)),union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0))),
inference(scs_inference,[],[i_0_536,i_0_309,i_0_469,i_0_530,i_0_368,i_0_400,i_0_371,i_0_424,i_0_138,i_0_119,i_0_24,i_0_25,i_0_26,i_0_27,i_0_20,i_0_28,i_0_32,i_0_46,i_0_48]) ).
cnf(i_0_577,plain,
subset(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0))),
inference(scs_inference,[],[i_0_536,i_0_309,i_0_469,i_0_530,i_0_368,i_0_400,i_0_509,i_0_371,i_0_424,i_0_65,i_0_138,i_0_119,i_0_24,i_0_25,i_0_26,i_0_27,i_0_20,i_0_28,i_0_32,i_0_46,i_0_48,i_0_47]) ).
cnf(i_0_578,plain,
union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)) != intersection(intersection(X1,X2),union(esk4_0,esk5_0)),
inference(scs_inference,[],[i_0_536,i_0_309,i_0_469,i_0_530,i_0_368,i_0_400,i_0_509,i_0_371,i_0_424,i_0_65,i_0_138,i_0_119,i_0_24,i_0_25,i_0_26,i_0_27,i_0_20,i_0_28,i_0_32,i_0_46,i_0_48,i_0_47,i_0_35]) ).
cnf(i_0_579,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_580,plain,
intersection(intersection(X1,X2),union(esk4_0,esk5_0)) != union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_536,i_0_309,i_0_469,i_0_530,i_0_368,i_0_400,i_0_509,i_0_371,i_0_424,i_0_65,i_0_138,i_0_119,i_0_24,i_0_25,i_0_26,i_0_27,i_0_20,i_0_28,i_0_32,i_0_46,i_0_48,i_0_47,i_0_35,i_0_36]) ).
cnf(i_0_581,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_582,plain,
esk3_0 != intersection(intersection(X1,X2),union(esk4_0,esk5_0)),
inference(scs_inference,[],[i_0_541,i_0_536,i_0_309,i_0_469,i_0_530,i_0_368,i_0_400,i_0_509,i_0_371,i_0_424,i_0_65,i_0_138,i_0_119,i_0_24,i_0_25,i_0_26,i_0_27,i_0_20,i_0_28,i_0_32,i_0_46,i_0_48,i_0_47,i_0_35,i_0_36,i_0_40]) ).
cnf(i_0_583,plain,
( X1 != esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0))
| ~ member(X1,union(esk5_0,esk4_0)) ),
inference(scs_inference,[],[i_0_541,i_0_536,i_0_309,i_0_469,i_0_530,i_0_368,i_0_400,i_0_509,i_0_371,i_0_424,i_0_65,i_0_138,i_0_119,i_0_24,i_0_25,i_0_26,i_0_27,i_0_20,i_0_28,i_0_32,i_0_46,i_0_48,i_0_47,i_0_35,i_0_36,i_0_40,i_0_45]) ).
cnf(i_0_584,plain,
( ~ member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk5_0,esk4_0))
| esk3_0 != esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0)) ),
inference(scs_inference,[],[i_0_541,i_0_536,i_0_309,i_0_469,i_0_530,i_0_368,i_0_400,i_0_509,i_0_371,i_0_424,i_0_65,i_0_138,i_0_119,i_0_24,i_0_25,i_0_26,i_0_27,i_0_20,i_0_28,i_0_32,i_0_46,i_0_48,i_0_47,i_0_35,i_0_36,i_0_40,i_0_45,i_0_140]) ).
cnf(i_0_585,plain,
( esk3_0 != esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0))
| ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),union(esk5_0,esk4_0)) ),
inference(scs_inference,[],[i_0_541,i_0_536,i_0_309,i_0_469,i_0_530,i_0_368,i_0_400,i_0_509,i_0_371,i_0_424,i_0_65,i_0_138,i_0_119,i_0_24,i_0_25,i_0_26,i_0_27,i_0_20,i_0_28,i_0_32,i_0_46,i_0_48,i_0_47,i_0_35,i_0_36,i_0_40,i_0_45,i_0_140,i_0_494]) ).
cnf(i_0_586,plain,
( ~ member(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),union(esk5_0,esk4_0))
| esk3_0 != esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0)) ),
inference(scs_inference,[],[i_0_541,i_0_536,i_0_309,i_0_469,i_0_530,i_0_368,i_0_400,i_0_509,i_0_371,i_0_424,i_0_65,i_0_138,i_0_119,i_0_24,i_0_25,i_0_26,i_0_27,i_0_20,i_0_28,i_0_32,i_0_46,i_0_48,i_0_47,i_0_35,i_0_36,i_0_40,i_0_45,i_0_140,i_0_494,i_0_194]) ).
cnf(i_0_587,plain,
( intersection(intersection(X1,X2),union(esk4_0,esk5_0)) != esk3_0
| esk3_0 != esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0)) ),
inference(scs_inference,[],[i_0_541,i_0_536,i_0_309,i_0_469,i_0_530,i_0_368,i_0_400,i_0_509,i_0_371,i_0_424,i_0_65,i_0_138,i_0_119,i_0_24,i_0_25,i_0_26,i_0_27,i_0_20,i_0_28,i_0_32,i_0_46,i_0_48,i_0_47,i_0_35,i_0_36,i_0_40,i_0_45,i_0_140,i_0_494,i_0_194,i_0_39]) ).
cnf(i_0_588,plain,
( X1 = X2
| member(esk2_2(X1,X2),X2)
| member(esk2_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_589,plain,
( esk3_0 != esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0))
| member(esk2_2(union(esk5_0,esk4_0),union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0))),union(esk5_0,esk4_0))
| member(esk2_2(union(esk5_0,esk4_0),union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0))),union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0))) ),
inference(scs_inference,[],[i_0_541,i_0_536,i_0_309,i_0_469,i_0_530,i_0_368,i_0_301,i_0_400,i_0_509,i_0_371,i_0_424,i_0_65,i_0_138,i_0_119,i_0_24,i_0_25,i_0_26,i_0_27,i_0_20,i_0_28,i_0_32,i_0_46,i_0_48,i_0_47,i_0_35,i_0_36,i_0_40,i_0_45,i_0_140,i_0_494,i_0_194,i_0_39,i_0_22]) ).
cnf(i_0_590,plain,
~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0)),union(esk5_0,esk4_0)),
inference(equality_inference,[],[583]) ).
cnf(i_0_591,plain,
union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)) = union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),
inference(scs_inference,[],[i_0_573,i_0_39]) ).
cnf(i_0_592,plain,
~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0)),union(esk4_0,esk4_0)),
inference(scs_inference,[],[i_0_573,i_0_567,i_0_39,i_0_20]) ).
cnf(i_0_593,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_594,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(union(esk5_0,esk4_0),intersection(X1,X2))),
inference(scs_inference,[],[i_0_573,i_0_243,i_0_567,i_0_493,i_0_39,i_0_20,i_0_46]) ).
cnf(i_0_595,plain,
intersection(union(X1,X2),intersection(X3,X4)) = intersection(intersection(X4,X3),union(X2,X1)),
inference(rename_variables,[],[i_0_493]) ).
cnf(i_0_596,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(X1,union(esk4_0,esk5_0))),
inference(rename_variables,[],[i_0_243]) ).
cnf(i_0_597,plain,
intersection(union(esk5_0,esk4_0),intersection(X1,X2)) != union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_573,i_0_580,i_0_243,i_0_567,i_0_485,i_0_493,i_0_39,i_0_20,i_0_46,i_0_40]) ).
cnf(i_0_598,plain,
intersection(intersection(X1,X2),union(X3,X4)) = intersection(union(X4,X3),intersection(X2,X1)),
inference(rename_variables,[],[i_0_485]) ).
cnf(i_0_599,plain,
union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)) != intersection(intersection(X1,X2),union(esk4_0,esk5_0)),
inference(scs_inference,[],[i_0_573,i_0_571,i_0_580,i_0_529,i_0_243,i_0_567,i_0_485,i_0_493,i_0_39,i_0_20,i_0_46,i_0_40,i_0_48]) ).
cnf(i_0_600,plain,
subset(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0))),
inference(scs_inference,[],[i_0_573,i_0_571,i_0_577,i_0_580,i_0_529,i_0_243,i_0_567,i_0_485,i_0_501,i_0_493,i_0_39,i_0_20,i_0_46,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_601,plain,
( ~ subset(esk3_0,intersection(intersection(X1,X2),union(esk4_0,esk5_0)))
| ~ subset(intersection(intersection(X1,X2),union(esk4_0,esk5_0)),esk3_0) ),
inference(scs_inference,[],[i_0_582,i_0_573,i_0_571,i_0_577,i_0_580,i_0_529,i_0_243,i_0_567,i_0_485,i_0_501,i_0_493,i_0_39,i_0_20,i_0_46,i_0_40,i_0_48,i_0_47,i_0_32]) ).
cnf(i_0_602,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_603,plain,
( intersection(intersection(X1,X2),union(esk4_0,esk5_0)) != esk3_0
| ~ subset(intersection(intersection(X1,X2),union(esk4_0,esk5_0)),esk3_0) ),
inference(scs_inference,[],[i_0_582,i_0_573,i_0_571,i_0_577,i_0_580,i_0_529,i_0_243,i_0_567,i_0_485,i_0_501,i_0_493,i_0_39,i_0_20,i_0_46,i_0_40,i_0_48,i_0_47,i_0_32,i_0_36]) ).
cnf(i_0_604,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_605,plain,
( ~ subset(intersection(intersection(X1,X2),union(esk4_0,esk5_0)),esk3_0)
| ~ member(esk2_2(esk3_0,intersection(intersection(X1,X2),union(esk4_0,esk5_0))),esk3_0)
| ~ member(esk2_2(esk3_0,intersection(intersection(X1,X2),union(esk4_0,esk5_0))),intersection(intersection(X1,X2),union(esk4_0,esk5_0))) ),
inference(scs_inference,[],[i_0_582,i_0_573,i_0_571,i_0_577,i_0_580,i_0_529,i_0_243,i_0_567,i_0_485,i_0_501,i_0_493,i_0_39,i_0_20,i_0_46,i_0_40,i_0_48,i_0_47,i_0_32,i_0_36,i_0_19]) ).
cnf(i_0_606,plain,
intersection(intersection(X1,X2),union(esk4_0,esk5_0)) != union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),
inference(scs_inference,[],[i_0_599,i_0_39]) ).
cnf(i_0_607,plain,
union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)) = union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_599,i_0_600,i_0_399,i_0_39,i_0_32]) ).
cnf(i_0_608,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_609,plain,
union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)) != intersection(union(esk5_0,esk4_0),intersection(X1,X2)),
inference(scs_inference,[],[i_0_599,i_0_594,i_0_575,i_0_600,i_0_399,i_0_39,i_0_32,i_0_46]) ).
cnf(i_0_610,plain,
union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)) != intersection(intersection(X1,X2),union(esk4_0,esk5_0)),
inference(scs_inference,[],[i_0_599,i_0_594,i_0_591,i_0_575,i_0_600,i_0_399,i_0_39,i_0_32,i_0_46,i_0_40]) ).
cnf(i_0_611,plain,
subset(intersection(intersection(X1,X2),intersection(X3,X4)),intersection(intersection(X2,X1),intersection(X4,X3))),
inference(scs_inference,[],[i_0_237,i_0_599,i_0_594,i_0_591,i_0_575,i_0_600,i_0_399,i_0_33,i_0_39,i_0_32,i_0_46,i_0_40,i_0_47]) ).
cnf(i_0_612,plain,
intersection(X1,X2) = intersection(X2,X1),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_613,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0))),
inference(scs_inference,[],[i_0_237,i_0_599,i_0_594,i_0_591,i_0_575,i_0_600,i_0_399,i_0_93,i_0_33,i_0_39,i_0_32,i_0_46,i_0_40,i_0_47,i_0_28]) ).
cnf(i_0_614,plain,
subset(union(X1,intersection(X2,X3)),union(X1,intersection(X3,X2))),
inference(rename_variables,[],[i_0_93]) ).
cnf(i_0_615,plain,
( ~ subset(X1,X2)
| ~ member(X3,X1)
| member(X3,X2) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_616,plain,
( member(X1,union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)))
| esk1_2(esk3_0,union(esk4_0,esk5_0)) != X1 ),
inference(scs_inference,[],[i_0_237,i_0_599,i_0_594,i_0_591,i_0_575,i_0_600,i_0_399,i_0_93,i_0_33,i_0_39,i_0_32,i_0_46,i_0_40,i_0_47,i_0_28,i_0_45]) ).
cnf(i_0_617,plain,
( member(intersection(intersection(X1,X2),X3),union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)))
| esk1_2(esk3_0,union(esk4_0,esk5_0)) != intersection(intersection(X2,X1),X3) ),
inference(scs_inference,[],[i_0_237,i_0_599,i_0_594,i_0_591,i_0_575,i_0_600,i_0_399,i_0_93,i_0_33,i_0_39,i_0_32,i_0_46,i_0_40,i_0_47,i_0_28,i_0_45,i_0_402]) ).
cnf(i_0_618,plain,
( esk1_2(esk3_0,union(esk4_0,esk5_0)) != intersection(intersection(X1,X2),X3)
| ~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0)),intersection(esk5_0,X4)) ),
inference(scs_inference,[],[i_0_237,i_0_599,i_0_594,i_0_591,i_0_575,i_0_600,i_0_565,i_0_399,i_0_93,i_0_33,i_0_39,i_0_32,i_0_46,i_0_40,i_0_47,i_0_28,i_0_45,i_0_402,i_0_24]) ).
cnf(i_0_619,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_620,plain,
( esk1_2(esk3_0,union(esk4_0,esk5_0)) != intersection(intersection(X1,X2),X3)
| ~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0)),intersection(X4,esk5_0)) ),
inference(scs_inference,[],[i_0_237,i_0_599,i_0_594,i_0_591,i_0_575,i_0_600,i_0_565,i_0_399,i_0_93,i_0_33,i_0_39,i_0_32,i_0_46,i_0_40,i_0_47,i_0_28,i_0_45,i_0_402,i_0_24,i_0_25]) ).
cnf(i_0_621,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_622,plain,
( ~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),esk4_0)
| esk1_2(esk3_0,union(esk4_0,esk5_0)) != intersection(intersection(X1,X2),X3) ),
inference(scs_inference,[],[i_0_237,i_0_599,i_0_594,i_0_591,i_0_575,i_0_600,i_0_565,i_0_225,i_0_399,i_0_93,i_0_33,i_0_39,i_0_32,i_0_46,i_0_40,i_0_47,i_0_28,i_0_45,i_0_402,i_0_24,i_0_25,i_0_26]) ).
cnf(i_0_623,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_624,plain,
( ~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,esk4_0))
| esk1_2(esk3_0,union(esk4_0,esk5_0)) != intersection(intersection(X1,X2),X3) ),
inference(scs_inference,[],[i_0_237,i_0_599,i_0_594,i_0_526,i_0_591,i_0_575,i_0_600,i_0_565,i_0_225,i_0_399,i_0_93,i_0_33,i_0_39,i_0_32,i_0_46,i_0_40,i_0_47,i_0_28,i_0_45,i_0_402,i_0_24,i_0_25,i_0_26,i_0_27]) ).
cnf(i_0_625,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_626,plain,
( esk1_2(esk3_0,union(esk4_0,esk5_0)) != intersection(intersection(X1,X2),X3)
| ~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(esk4_0,esk4_0)) ),
inference(scs_inference,[],[i_0_237,i_0_599,i_0_594,i_0_526,i_0_591,i_0_575,i_0_600,i_0_565,i_0_225,i_0_399,i_0_93,i_0_33,i_0_39,i_0_32,i_0_46,i_0_40,i_0_47,i_0_28,i_0_45,i_0_402,i_0_24,i_0_25,i_0_26,i_0_27,i_0_20]) ).
cnf(i_0_627,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_628,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0))),
inference(equality_inference,[],[616]) ).
cnf(i_0_629,plain,
union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)) = union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),
inference(scs_inference,[],[i_0_607,i_0_39]) ).
cnf(i_0_630,plain,
~ subset(union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)),intersection(union(esk4_0,esk5_0),X1)),
inference(scs_inference,[],[i_0_607,i_0_613,i_0_241,i_0_39,i_0_28]) ).
cnf(i_0_631,plain,
( ~ member(X1,X2)
| member(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_632,plain,
union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)) = union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),
inference(scs_inference,[],[i_0_607,i_0_613,i_0_240,i_0_241,i_0_473,i_0_39,i_0_28,i_0_32]) ).
cnf(i_0_633,plain,
( ~ subset(X1,X2)
| X2 = X1
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_634,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(intersection(X1,X2),union(esk5_0,esk4_0))),
inference(scs_inference,[],[i_0_607,i_0_613,i_0_240,i_0_241,i_0_473,i_0_485,i_0_39,i_0_28,i_0_32,i_0_46]) ).
cnf(i_0_635,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(union(esk4_0,esk5_0),X1)),
inference(rename_variables,[],[i_0_241]) ).
cnf(i_0_636,plain,
intersection(intersection(X1,X2),union(X3,X4)) = intersection(union(X4,X3),intersection(X2,X1)),
inference(rename_variables,[],[i_0_485]) ).
cnf(i_0_637,plain,
intersection(intersection(X1,X2),union(X3,X4)) = intersection(union(X4,X3),intersection(X1,X2)),
inference(scs_inference,[],[i_0_607,i_0_613,i_0_240,i_0_241,i_0_473,i_0_485,i_0_636,i_0_78,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40]) ).
cnf(i_0_638,plain,
intersection(intersection(X1,X2),union(X3,X4)) = intersection(union(X4,X3),intersection(X2,X1)),
inference(rename_variables,[],[i_0_485]) ).
cnf(i_0_639,plain,
intersection(X1,intersection(X2,X3)) = intersection(X1,intersection(X3,X2)),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_640,plain,
~ subset(union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)),intersection(intersection(X1,X2),union(esk5_0,esk4_0))),
inference(scs_inference,[],[i_0_607,i_0_613,i_0_240,i_0_241,i_0_473,i_0_485,i_0_636,i_0_638,i_0_78,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48]) ).
cnf(i_0_641,plain,
intersection(intersection(X1,X2),union(X3,X4)) = intersection(union(X4,X3),intersection(X2,X1)),
inference(rename_variables,[],[i_0_485]) ).
cnf(i_0_642,plain,
intersection(intersection(X1,X2),union(esk5_0,esk4_0)) != union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_539,i_0_607,i_0_613,i_0_240,i_0_241,i_0_473,i_0_571,i_0_485,i_0_636,i_0_638,i_0_78,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_643,plain,
subset(intersection(intersection(X1,X2),union(X3,X4)),intersection(intersection(X1,X2),union(X4,X3))),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_644,plain,
union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)) != intersection(union(esk4_0,esk5_0),intersection(X1,X2)),
inference(scs_inference,[],[i_0_539,i_0_607,i_0_613,i_0_240,i_0_241,i_0_473,i_0_571,i_0_485,i_0_636,i_0_638,i_0_78,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_35]) ).
cnf(i_0_645,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_646,plain,
intersection(union(esk4_0,esk5_0),intersection(X1,X2)) != union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)),
inference(scs_inference,[],[i_0_539,i_0_607,i_0_613,i_0_240,i_0_241,i_0_473,i_0_571,i_0_485,i_0_636,i_0_638,i_0_78,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_35,i_0_36]) ).
cnf(i_0_647,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_648,plain,
( member(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),X1)
| ~ member(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),X1) ),
inference(scs_inference,[],[i_0_539,i_0_607,i_0_613,i_0_240,i_0_241,i_0_473,i_0_571,i_0_485,i_0_636,i_0_638,i_0_78,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_35,i_0_36,i_0_45]) ).
cnf(i_0_649,plain,
( member(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),intersection(intersection(X1,X2),union(X3,X3)))
| ~ member(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),intersection(intersection(X2,X1),union(X3,X3))) ),
inference(scs_inference,[],[i_0_539,i_0_607,i_0_613,i_0_240,i_0_241,i_0_473,i_0_571,i_0_485,i_0_636,i_0_638,i_0_78,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_35,i_0_36,i_0_45,i_0_542]) ).
cnf(i_0_650,plain,
( ~ member(X1,intersection(intersection(X2,X3),union(X4,X4)))
| member(X1,intersection(intersection(X3,X2),union(X4,X4))) ),
inference(rename_variables,[],[i_0_542]) ).
cnf(i_0_651,plain,
( member(union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),intersection(intersection(X1,X2),union(X3,X3)))
| ~ member(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),intersection(intersection(X1,X2),union(X3,X3))) ),
inference(scs_inference,[],[i_0_539,i_0_607,i_0_613,i_0_240,i_0_241,i_0_473,i_0_571,i_0_485,i_0_636,i_0_638,i_0_78,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_35,i_0_36,i_0_45,i_0_542,i_0_194]) ).
cnf(i_0_652,plain,
( member(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),intersection(X1,X2))
| ~ member(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),intersection(intersection(X1,X2),union(X3,X3))) ),
inference(scs_inference,[],[i_0_539,i_0_607,i_0_613,i_0_240,i_0_241,i_0_473,i_0_571,i_0_485,i_0_636,i_0_638,i_0_78,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_35,i_0_36,i_0_45,i_0_542,i_0_194,i_0_24]) ).
cnf(i_0_653,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X2) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_654,plain,
( member(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),union(X1,X1))
| ~ member(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),intersection(intersection(X2,X3),union(X1,X1))) ),
inference(scs_inference,[],[i_0_539,i_0_607,i_0_613,i_0_240,i_0_241,i_0_473,i_0_571,i_0_485,i_0_636,i_0_638,i_0_78,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_35,i_0_36,i_0_45,i_0_542,i_0_194,i_0_24,i_0_25]) ).
cnf(i_0_655,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X3) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_656,plain,
( ~ member(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),intersection(intersection(X1,X2),union(X3,X3)))
| member(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),union(intersection(X1,X2),X4)) ),
inference(scs_inference,[],[i_0_539,i_0_607,i_0_613,i_0_240,i_0_241,i_0_473,i_0_571,i_0_485,i_0_636,i_0_638,i_0_78,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_35,i_0_36,i_0_45,i_0_542,i_0_194,i_0_24,i_0_25,i_0_26]) ).
cnf(i_0_657,plain,
( ~ member(X1,X2)
| member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_658,plain,
( ~ member(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),intersection(intersection(X1,X2),union(X3,X3)))
| member(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),union(X4,intersection(X1,X2))) ),
inference(scs_inference,[],[i_0_539,i_0_607,i_0_613,i_0_240,i_0_241,i_0_473,i_0_571,i_0_485,i_0_636,i_0_638,i_0_78,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_35,i_0_36,i_0_45,i_0_542,i_0_194,i_0_24,i_0_25,i_0_26,i_0_27]) ).
cnf(i_0_659,plain,
( ~ member(X1,X2)
| member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_660,plain,
( ~ member(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),intersection(intersection(X1,X2),union(X3,X3)))
| member(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),intersection(intersection(X1,X2),intersection(X1,X2))) ),
inference(scs_inference,[],[i_0_539,i_0_607,i_0_613,i_0_240,i_0_241,i_0_473,i_0_571,i_0_485,i_0_636,i_0_638,i_0_78,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_35,i_0_36,i_0_45,i_0_542,i_0_194,i_0_24,i_0_25,i_0_26,i_0_27,i_0_21]) ).
cnf(i_0_661,plain,
( ~ member(X1,X2)
| ~ member(X1,X3)
| member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_662,plain,
union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)) != intersection(union(esk4_0,esk5_0),X1),
inference(scs_inference,[],[i_0_630,i_0_35]) ).
cnf(i_0_663,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_664,plain,
subset(intersection(intersection(X1,X2),X3),intersection(intersection(X2,X1),X3)),
inference(scs_inference,[],[i_0_630,i_0_77,i_0_35,i_0_36]) ).
cnf(i_0_665,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_666,plain,
~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0)),intersection(esk4_0,X1)),
inference(scs_inference,[],[i_0_630,i_0_567,i_0_77,i_0_35,i_0_36,i_0_24]) ).
cnf(i_0_667,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_668,plain,
~ member(esk1_2(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),union(esk4_0,esk5_0)),intersection(X1,esk4_0)),
inference(scs_inference,[],[i_0_630,i_0_567,i_0_77,i_0_35,i_0_36,i_0_24,i_0_25]) ).
cnf(i_0_669,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_670,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),esk5_0),
inference(scs_inference,[],[i_0_630,i_0_169,i_0_567,i_0_77,i_0_35,i_0_36,i_0_24,i_0_25,i_0_26]) ).
cnf(i_0_671,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_672,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(esk4_0,esk5_0)),
inference(scs_inference,[],[i_0_630,i_0_412,i_0_169,i_0_567,i_0_77,i_0_35,i_0_36,i_0_24,i_0_25,i_0_26,i_0_27]) ).
cnf(i_0_673,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_674,plain,
intersection(intersection(X1,X2),union(esk4_0,esk5_0)) != union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),
inference(scs_inference,[],[i_0_610,i_0_630,i_0_412,i_0_169,i_0_567,i_0_77,i_0_35,i_0_36,i_0_24,i_0_25,i_0_26,i_0_27,i_0_39]) ).
cnf(i_0_675,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(esk5_0,esk5_0)),
inference(scs_inference,[],[i_0_610,i_0_630,i_0_412,i_0_169,i_0_567,i_0_77,i_0_35,i_0_36,i_0_24,i_0_25,i_0_26,i_0_27,i_0_39,i_0_20]) ).
cnf(i_0_676,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_677,plain,
intersection(union(esk5_0,esk4_0),intersection(X1,X2)) != union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),
inference(scs_inference,[],[i_0_610,i_0_597,i_0_630,i_0_412,i_0_432,i_0_169,i_0_567,i_0_77,i_0_35,i_0_36,i_0_24,i_0_25,i_0_26,i_0_27,i_0_39,i_0_20,i_0_40]) ).
cnf(i_0_678,plain,
subset(intersection(union(X1,X2),intersection(X3,X4)),intersection(union(X1,X2),intersection(X4,X3))),
inference(scs_inference,[],[i_0_637,i_0_610,i_0_597,i_0_630,i_0_412,i_0_432,i_0_169,i_0_442,i_0_567,i_0_77,i_0_35,i_0_36,i_0_24,i_0_25,i_0_26,i_0_27,i_0_39,i_0_20,i_0_40,i_0_48]) ).
cnf(i_0_679,plain,
intersection(intersection(X1,X2),union(X3,X4)) = intersection(union(X4,X3),intersection(X1,X2)),
inference(rename_variables,[],[i_0_637]) ).
cnf(i_0_680,plain,
~ subset(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),intersection(union(esk4_0,esk5_0),X1)),
inference(scs_inference,[],[i_0_637,i_0_610,i_0_597,i_0_630,i_0_412,i_0_432,i_0_169,i_0_442,i_0_567,i_0_77,i_0_75,i_0_35,i_0_36,i_0_24,i_0_25,i_0_26,i_0_27,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_681,plain,
union(intersection(X1,X2),X3) = union(intersection(X2,X1),X3),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_682,plain,
( ~ subset(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)))
| union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)) = union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)) ),
inference(scs_inference,[],[i_0_637,i_0_610,i_0_538,i_0_597,i_0_630,i_0_412,i_0_432,i_0_169,i_0_442,i_0_567,i_0_77,i_0_75,i_0_35,i_0_36,i_0_24,i_0_25,i_0_26,i_0_27,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_32]) ).
cnf(i_0_683,plain,
( ~ subset(X1,X2)
| X1 = X2
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_684,plain,
( X1 != esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk5_0,esk4_0))
| ~ member(X1,intersection(esk5_0,X2)) ),
inference(scs_inference,[],[i_0_445,i_0_637,i_0_610,i_0_538,i_0_597,i_0_630,i_0_412,i_0_432,i_0_169,i_0_442,i_0_567,i_0_77,i_0_75,i_0_35,i_0_36,i_0_24,i_0_25,i_0_26,i_0_27,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_32,i_0_45]) ).
cnf(i_0_685,plain,
~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk5_0,esk4_0)),intersection(esk5_0,X1)),
inference(equality_inference,[],[684]) ).
cnf(i_0_686,plain,
subset(intersection(intersection(X1,X2),union(X3,X4)),intersection(union(X4,X3),intersection(X1,X2))),
inference(scs_inference,[],[i_0_637,i_0_35]) ).
cnf(i_0_687,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_688,plain,
intersection(union(esk4_0,esk5_0),X1) != union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),
inference(scs_inference,[],[i_0_680,i_0_637,i_0_35,i_0_36]) ).
cnf(i_0_689,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_690,plain,
union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)) = union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),
inference(scs_inference,[],[i_0_680,i_0_632,i_0_637,i_0_35,i_0_36,i_0_39]) ).
cnf(i_0_691,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(union(esk5_0,esk5_0),union(esk5_0,esk5_0))),
inference(scs_inference,[],[i_0_675,i_0_680,i_0_632,i_0_637,i_0_35,i_0_36,i_0_39,i_0_20]) ).
cnf(i_0_692,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_693,plain,
intersection(union(esk5_0,esk4_0),intersection(X1,X2)) != union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),
inference(scs_inference,[],[i_0_675,i_0_606,i_0_680,i_0_632,i_0_637,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40]) ).
cnf(i_0_694,plain,
intersection(intersection(X1,X2),union(esk4_0,esk5_0)) != union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),
inference(rename_variables,[],[i_0_606]) ).
cnf(i_0_695,plain,
intersection(intersection(X1,X2),union(X3,X4)) = intersection(union(X4,X3),intersection(X1,X2)),
inference(rename_variables,[],[i_0_637]) ).
cnf(i_0_696,plain,
subset(intersection(intersection(X1,X2),intersection(X3,X4)),intersection(intersection(X1,X2),intersection(X4,X3))),
inference(scs_inference,[],[i_0_675,i_0_611,i_0_606,i_0_680,i_0_632,i_0_637,i_0_77,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48]) ).
cnf(i_0_697,plain,
subset(intersection(intersection(X1,X2),intersection(X3,X4)),intersection(intersection(X2,X1),intersection(X4,X3))),
inference(rename_variables,[],[i_0_611]) ).
cnf(i_0_698,plain,
intersection(intersection(X1,X2),X3) = intersection(intersection(X2,X1),X3),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_699,plain,
subset(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0))),
inference(scs_inference,[],[i_0_675,i_0_611,i_0_606,i_0_680,i_0_632,i_0_637,i_0_343,i_0_77,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_700,plain,
( ~ subset(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),intersection(intersection(X1,X2),union(esk4_0,esk5_0)))
| ~ subset(intersection(intersection(X1,X2),union(esk4_0,esk5_0)),union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0))) ),
inference(scs_inference,[],[i_0_675,i_0_611,i_0_606,i_0_694,i_0_680,i_0_632,i_0_637,i_0_343,i_0_77,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_32]) ).
cnf(i_0_701,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_702,plain,
union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)) != intersection(intersection(X1,X2),union(esk5_0,esk4_0)),
inference(scs_inference,[],[i_0_675,i_0_611,i_0_606,i_0_694,i_0_680,i_0_634,i_0_632,i_0_353,i_0_637,i_0_343,i_0_77,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_32,i_0_46]) ).
cnf(i_0_703,plain,
( member(X1,union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)))
| esk1_2(esk3_0,union(esk5_0,esk4_0)) != X1 ),
inference(scs_inference,[],[i_0_675,i_0_611,i_0_606,i_0_694,i_0_680,i_0_634,i_0_632,i_0_259,i_0_353,i_0_637,i_0_343,i_0_77,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_32,i_0_46,i_0_45]) ).
cnf(i_0_704,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0))),
inference(equality_inference,[],[703]) ).
cnf(i_0_705,plain,
union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)) != intersection(intersection(X1,X2),union(esk5_0,esk4_0)),
inference(scs_inference,[],[i_0_640,i_0_35]) ).
cnf(i_0_706,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_707,plain,
subset(intersection(X1,union(X2,X3)),intersection(X1,union(X3,X2))),
inference(scs_inference,[],[i_0_640,i_0_124,i_0_35,i_0_36]) ).
cnf(i_0_708,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_709,plain,
union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)) != intersection(union(esk5_0,esk4_0),intersection(X1,X2)),
inference(scs_inference,[],[i_0_677,i_0_640,i_0_124,i_0_35,i_0_36,i_0_39]) ).
cnf(i_0_710,plain,
intersection(union(X1,X2),intersection(X3,X4)) = intersection(intersection(X3,X4),union(X2,X1)),
inference(scs_inference,[],[i_0_686,i_0_677,i_0_640,i_0_419,i_0_124,i_0_35,i_0_36,i_0_39,i_0_32]) ).
cnf(i_0_711,plain,
subset(intersection(intersection(X1,X2),union(X3,X4)),intersection(union(X4,X3),intersection(X1,X2))),
inference(rename_variables,[],[i_0_686]) ).
cnf(i_0_712,plain,
subset(intersection(union(X1,X2),X3),intersection(X3,union(X2,X1))),
inference(rename_variables,[],[i_0_419]) ).
cnf(i_0_713,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X2 = X1 ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_714,plain,
union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)) != esk5_0,
inference(scs_inference,[],[i_0_670,i_0_686,i_0_677,i_0_640,i_0_179,i_0_419,i_0_124,i_0_35,i_0_36,i_0_39,i_0_32,i_0_46]) ).
cnf(i_0_715,plain,
union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)) = union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_670,i_0_686,i_0_677,i_0_640,i_0_179,i_0_419,i_0_607,i_0_501,i_0_124,i_0_35,i_0_36,i_0_39,i_0_32,i_0_46,i_0_40]) ).
cnf(i_0_716,plain,
~ subset(union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)),intersection(intersection(X1,X2),union(esk4_0,esk5_0))),
inference(scs_inference,[],[i_0_670,i_0_686,i_0_677,i_0_640,i_0_179,i_0_419,i_0_607,i_0_501,i_0_124,i_0_35,i_0_36,i_0_39,i_0_32,i_0_46,i_0_40,i_0_48]) ).
cnf(i_0_717,plain,
intersection(X1,union(X2,X3)) = intersection(X1,union(X3,X2)),
inference(rename_variables,[],[i_0_124]) ).
cnf(i_0_718,plain,
intersection(intersection(X1,X2),union(esk5_0,esk4_0)) != union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)),
inference(scs_inference,[],[i_0_670,i_0_664,i_0_686,i_0_677,i_0_640,i_0_179,i_0_419,i_0_607,i_0_501,i_0_124,i_0_35,i_0_36,i_0_39,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_719,plain,
subset(intersection(intersection(X1,X2),X3),intersection(intersection(X2,X1),X3)),
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_720,plain,
( member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),X1)
| ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),X1) ),
inference(scs_inference,[],[i_0_670,i_0_664,i_0_686,i_0_677,i_0_690,i_0_640,i_0_179,i_0_419,i_0_607,i_0_501,i_0_124,i_0_35,i_0_36,i_0_39,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_45]) ).
cnf(i_0_721,plain,
( ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(esk3_0,X1))
| member(esk3_0,esk3_0) ),
inference(scs_inference,[],[i_0_670,i_0_664,i_0_686,i_0_677,i_0_690,i_0_640,i_0_179,i_0_419,i_0_607,i_0_501,i_0_124,i_0_35,i_0_36,i_0_39,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_45,i_0_142]) ).
cnf(i_0_722,plain,
( member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),esk3_0)
| ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(esk3_0,X1)) ),
inference(scs_inference,[],[i_0_670,i_0_664,i_0_686,i_0_677,i_0_690,i_0_640,i_0_179,i_0_419,i_0_607,i_0_501,i_0_124,i_0_35,i_0_36,i_0_39,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_45,i_0_142,i_0_24]) ).
cnf(i_0_723,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X2) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_724,plain,
( member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),X1)
| ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(esk3_0,X1)) ),
inference(scs_inference,[],[i_0_670,i_0_664,i_0_686,i_0_677,i_0_690,i_0_640,i_0_179,i_0_419,i_0_607,i_0_501,i_0_124,i_0_35,i_0_36,i_0_39,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_45,i_0_142,i_0_24,i_0_25]) ).
cnf(i_0_725,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X3) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_726,plain,
( ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(esk3_0,X1))
| member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(X2,intersection(esk3_0,X1))) ),
inference(scs_inference,[],[i_0_670,i_0_664,i_0_686,i_0_677,i_0_690,i_0_640,i_0_179,i_0_419,i_0_607,i_0_501,i_0_124,i_0_35,i_0_36,i_0_39,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_45,i_0_142,i_0_24,i_0_25,i_0_27]) ).
cnf(i_0_727,plain,
( ~ member(X1,X2)
| member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_728,plain,
( ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(esk3_0,X1))
| member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(intersection(esk3_0,X1),X2)) ),
inference(scs_inference,[],[i_0_670,i_0_664,i_0_686,i_0_677,i_0_690,i_0_640,i_0_179,i_0_419,i_0_607,i_0_501,i_0_124,i_0_35,i_0_36,i_0_39,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_45,i_0_142,i_0_24,i_0_25,i_0_27,i_0_26]) ).
cnf(i_0_729,plain,
( ~ member(X1,X2)
| member(X1,union(X2,X3)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_730,plain,
( ~ member(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(esk3_0,X1))
| ~ member(esk2_2(union(esk4_0,esk5_0),union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0))),union(esk4_0,esk5_0))
| ~ member(esk2_2(union(esk4_0,esk5_0),union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0))),union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0))) ),
inference(scs_inference,[],[i_0_670,i_0_664,i_0_686,i_0_677,i_0_690,i_0_640,i_0_179,i_0_245,i_0_419,i_0_607,i_0_501,i_0_124,i_0_35,i_0_36,i_0_39,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_45,i_0_142,i_0_24,i_0_25,i_0_27,i_0_26,i_0_19]) ).
cnf(i_0_731,plain,
subset(intersection(X1,intersection(X2,X3)),intersection(X1,intersection(X3,X2))),
inference(scs_inference,[],[i_0_78,i_0_35]) ).
cnf(i_0_732,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_733,plain,
intersection(intersection(X1,X2),union(esk4_0,esk5_0)) != union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)),
inference(scs_inference,[],[i_0_716,i_0_78,i_0_35,i_0_36]) ).
cnf(i_0_734,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_735,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(union(esk5_0,esk5_0),X1)),
inference(scs_inference,[],[i_0_716,i_0_675,i_0_78,i_0_35,i_0_36,i_0_24]) ).
cnf(i_0_736,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_737,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(X1,union(esk4_0,esk5_0))),
inference(scs_inference,[],[i_0_672,i_0_716,i_0_675,i_0_78,i_0_35,i_0_36,i_0_24,i_0_25]) ).
cnf(i_0_738,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_739,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,esk4_0)),
inference(scs_inference,[],[i_0_672,i_0_716,i_0_675,i_0_379,i_0_78,i_0_35,i_0_36,i_0_24,i_0_25,i_0_27]) ).
cnf(i_0_740,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_741,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),esk4_0),
inference(scs_inference,[],[i_0_672,i_0_716,i_0_675,i_0_379,i_0_78,i_0_35,i_0_36,i_0_24,i_0_25,i_0_27,i_0_26]) ).
cnf(i_0_742,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_743,plain,
union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)) = union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),
inference(scs_inference,[],[i_0_672,i_0_715,i_0_716,i_0_675,i_0_379,i_0_78,i_0_35,i_0_36,i_0_24,i_0_25,i_0_27,i_0_26,i_0_39]) ).
cnf(i_0_744,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(X1,union(esk5_0,esk4_0))),
inference(scs_inference,[],[i_0_672,i_0_707,i_0_715,i_0_716,i_0_675,i_0_379,i_0_243,i_0_78,i_0_35,i_0_36,i_0_24,i_0_25,i_0_27,i_0_26,i_0_39,i_0_28]) ).
cnf(i_0_745,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(X1,union(esk4_0,esk5_0))),
inference(rename_variables,[],[i_0_243]) ).
cnf(i_0_746,plain,
subset(intersection(X1,union(X2,X3)),intersection(X1,union(X3,X2))),
inference(rename_variables,[],[i_0_707]) ).
cnf(i_0_747,plain,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_748,plain,
union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)) = union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_672,i_0_707,i_0_715,i_0_699,i_0_716,i_0_500,i_0_675,i_0_379,i_0_243,i_0_78,i_0_35,i_0_36,i_0_24,i_0_25,i_0_27,i_0_26,i_0_39,i_0_28,i_0_32]) ).
cnf(i_0_749,plain,
( ~ subset(X1,X2)
| X1 = X2
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_750,plain,
union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)) != intersection(union(esk4_0,esk5_0),intersection(X1,X2)),
inference(scs_inference,[],[i_0_672,i_0_707,i_0_710,i_0_702,i_0_715,i_0_699,i_0_716,i_0_500,i_0_675,i_0_379,i_0_243,i_0_78,i_0_35,i_0_36,i_0_24,i_0_25,i_0_27,i_0_26,i_0_39,i_0_28,i_0_32,i_0_40]) ).
cnf(i_0_751,plain,
intersection(union(X1,X2),intersection(X3,X4)) = intersection(intersection(X3,X4),union(X2,X1)),
inference(rename_variables,[],[i_0_710]) ).
cnf(i_0_752,plain,
subset(union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)),union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0))),
inference(scs_inference,[],[i_0_672,i_0_707,i_0_710,i_0_702,i_0_715,i_0_699,i_0_716,i_0_500,i_0_675,i_0_379,i_0_508,i_0_243,i_0_78,i_0_35,i_0_36,i_0_24,i_0_25,i_0_27,i_0_26,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48]) ).
cnf(i_0_753,plain,
~ subset(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(union(esk4_0,esk5_0),X1)),
inference(scs_inference,[],[i_0_672,i_0_707,i_0_710,i_0_702,i_0_715,i_0_699,i_0_716,i_0_500,i_0_675,i_0_680,i_0_379,i_0_508,i_0_573,i_0_243,i_0_78,i_0_35,i_0_36,i_0_24,i_0_25,i_0_27,i_0_26,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_754,plain,
( member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(esk3_0,esk4_0))
| member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(esk5_0,esk3_0)) ),
inference(scs_inference,[],[i_0_672,i_0_707,i_0_710,i_0_702,i_0_715,i_0_699,i_0_716,i_0_500,i_0_366,i_0_675,i_0_680,i_0_379,i_0_508,i_0_573,i_0_243,i_0_78,i_0_35,i_0_36,i_0_24,i_0_25,i_0_27,i_0_26,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_20]) ).
cnf(i_0_755,plain,
( ~ member(X1,union(X2,X3))
| member(X1,X3)
| member(X1,X2) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_756,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(intersection(X1,X2),union(esk5_0,esk5_0))),
inference(scs_inference,[],[i_0_672,i_0_707,i_0_710,i_0_702,i_0_715,i_0_699,i_0_716,i_0_500,i_0_366,i_0_675,i_0_680,i_0_379,i_0_508,i_0_573,i_0_243,i_0_78,i_0_35,i_0_36,i_0_24,i_0_25,i_0_27,i_0_26,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_20,i_0_544]) ).
cnf(i_0_757,plain,
( member(X1,intersection(union(X2,X2),intersection(X3,X4)))
| ~ member(X1,intersection(intersection(X3,X4),union(X2,X2))) ),
inference(rename_variables,[],[i_0_544]) ).
cnf(i_0_758,plain,
( member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(esk3_0,esk4_0))
| member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(intersection(esk5_0,esk3_0),intersection(esk5_0,esk3_0))) ),
inference(scs_inference,[],[i_0_672,i_0_707,i_0_710,i_0_702,i_0_715,i_0_699,i_0_716,i_0_500,i_0_366,i_0_675,i_0_680,i_0_379,i_0_508,i_0_573,i_0_243,i_0_78,i_0_35,i_0_36,i_0_24,i_0_25,i_0_27,i_0_26,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_20,i_0_544,i_0_21]) ).
cnf(i_0_759,plain,
( ~ member(X1,X2)
| ~ member(X1,X3)
| member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_760,plain,
( member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(esk3_0,esk4_0))
| X1 != esk1_2(esk3_0,union(esk5_0,esk4_0))
| ~ member(X1,union(esk4_0,esk5_0)) ),
inference(scs_inference,[],[i_0_672,i_0_707,i_0_710,i_0_702,i_0_715,i_0_699,i_0_716,i_0_500,i_0_366,i_0_675,i_0_680,i_0_379,i_0_508,i_0_573,i_0_243,i_0_78,i_0_35,i_0_36,i_0_24,i_0_25,i_0_27,i_0_26,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_20,i_0_544,i_0_21,i_0_45]) ).
cnf(i_0_761,plain,
( ~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(esk4_0,esk5_0))
| member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(esk3_0,esk4_0)) ),
inference(equality_inference,[],[760]) ).
cnf(i_0_762,plain,
union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)) != intersection(union(esk4_0,esk5_0),X1),
inference(scs_inference,[],[i_0_753,i_0_35]) ).
cnf(i_0_763,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_764,plain,
subset(intersection(union(X1,X2),X3),intersection(union(X2,X1),X3)),
inference(scs_inference,[],[i_0_753,i_0_123,i_0_35,i_0_36]) ).
cnf(i_0_765,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_766,plain,
esk5_0 != union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)),
inference(scs_inference,[],[i_0_714,i_0_753,i_0_123,i_0_35,i_0_36,i_0_39]) ).
cnf(i_0_767,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(esk4_0,esk4_0)),
inference(scs_inference,[],[i_0_741,i_0_714,i_0_753,i_0_123,i_0_35,i_0_36,i_0_39,i_0_20]) ).
cnf(i_0_768,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_769,plain,
union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)) != esk5_0,
inference(scs_inference,[],[i_0_741,i_0_714,i_0_753,i_0_123,i_0_76,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40]) ).
cnf(i_0_770,plain,
union(X1,intersection(X2,X3)) = union(X1,intersection(X3,X2)),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_771,plain,
union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)) != intersection(intersection(X1,X2),union(esk4_0,esk5_0)),
inference(scs_inference,[],[i_0_741,i_0_714,i_0_753,i_0_576,i_0_716,i_0_123,i_0_76,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48]) ).
cnf(i_0_772,plain,
subset(intersection(union(X1,X2),intersection(X3,X4)),intersection(union(X2,X1),intersection(X4,X3))),
inference(scs_inference,[],[i_0_741,i_0_714,i_0_731,i_0_753,i_0_576,i_0_716,i_0_123,i_0_76,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_773,plain,
intersection(union(X1,X2),X3) = intersection(union(X2,X1),X3),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_774,plain,
subset(intersection(X1,intersection(X2,X3)),intersection(X1,intersection(X3,X2))),
inference(rename_variables,[],[i_0_731]) ).
cnf(i_0_775,plain,
( ~ subset(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)))
| union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)) = union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)) ),
inference(scs_inference,[],[i_0_741,i_0_714,i_0_731,i_0_753,i_0_752,i_0_576,i_0_716,i_0_123,i_0_76,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_32]) ).
cnf(i_0_776,plain,
( ~ subset(X1,X2)
| X2 = X1
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_777,plain,
( member(X1,union(intersection(esk3_0,esk3_0),X2))
| esk1_2(esk3_0,union(esk4_0,esk5_0)) != X1 ),
inference(scs_inference,[],[i_0_741,i_0_714,i_0_731,i_0_753,i_0_752,i_0_576,i_0_221,i_0_716,i_0_123,i_0_76,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_32,i_0_45]) ).
cnf(i_0_778,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(intersection(esk3_0,esk3_0),X1)),
inference(equality_inference,[],[777]) ).
cnf(i_0_779,plain,
intersection(union(esk4_0,esk5_0),X1) != union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),
inference(scs_inference,[],[i_0_753,i_0_36]) ).
cnf(i_0_780,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_781,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(X1,union(esk4_0,esk4_0))),
inference(scs_inference,[],[i_0_767,i_0_753,i_0_36,i_0_25]) ).
cnf(i_0_782,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_783,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(union(esk5_0,esk4_0),X1)),
inference(scs_inference,[],[i_0_739,i_0_767,i_0_753,i_0_36,i_0_25,i_0_24]) ).
cnf(i_0_784,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_785,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),esk5_0),
inference(scs_inference,[],[i_0_739,i_0_767,i_0_753,i_0_36,i_0_25,i_0_24,i_0_26]) ).
cnf(i_0_786,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_787,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),esk4_0),
inference(scs_inference,[],[i_0_739,i_0_767,i_0_753,i_0_36,i_0_25,i_0_24,i_0_26,i_0_27]) ).
cnf(i_0_788,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_789,plain,
union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)) = union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),
inference(scs_inference,[],[i_0_739,i_0_767,i_0_748,i_0_753,i_0_36,i_0_25,i_0_24,i_0_26,i_0_27,i_0_39]) ).
cnf(i_0_790,plain,
union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)) = esk3_0,
inference(scs_inference,[],[i_0_30,i_0_739,i_0_767,i_0_748,i_0_753,i_0_365,i_0_36,i_0_25,i_0_24,i_0_26,i_0_27,i_0_39,i_0_40]) ).
cnf(i_0_791,plain,
~ subset(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(intersection(X1,X2),union(esk5_0,esk4_0))),
inference(scs_inference,[],[i_0_30,i_0_739,i_0_767,i_0_748,i_0_753,i_0_365,i_0_637,i_0_36,i_0_25,i_0_24,i_0_26,i_0_27,i_0_39,i_0_40,i_0_48]) ).
cnf(i_0_792,plain,
~ subset(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),intersection(union(esk4_0,esk5_0),X1)),
inference(rename_variables,[],[i_0_753]) ).
cnf(i_0_793,plain,
intersection(intersection(X1,X2),union(X3,X4)) = intersection(union(X4,X3),intersection(X1,X2)),
inference(rename_variables,[],[i_0_637]) ).
cnf(i_0_794,plain,
intersection(union(esk5_0,esk4_0),X1) != union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),
inference(scs_inference,[],[i_0_30,i_0_739,i_0_767,i_0_764,i_0_748,i_0_753,i_0_792,i_0_365,i_0_637,i_0_36,i_0_25,i_0_24,i_0_26,i_0_27,i_0_39,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_795,plain,
subset(intersection(union(X1,X2),X3),intersection(union(X2,X1),X3)),
inference(rename_variables,[],[i_0_764]) ).
cnf(i_0_796,plain,
( ~ subset(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),esk5_0)
| ~ subset(esk5_0,union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0))) ),
inference(scs_inference,[],[i_0_30,i_0_739,i_0_767,i_0_769,i_0_764,i_0_748,i_0_753,i_0_792,i_0_365,i_0_637,i_0_36,i_0_25,i_0_24,i_0_26,i_0_27,i_0_39,i_0_40,i_0_48,i_0_47,i_0_32]) ).
cnf(i_0_797,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_798,plain,
( member(union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)),X1)
| ~ member(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),X1) ),
inference(scs_inference,[],[i_0_30,i_0_739,i_0_767,i_0_769,i_0_764,i_0_743,i_0_748,i_0_753,i_0_792,i_0_365,i_0_637,i_0_36,i_0_25,i_0_24,i_0_26,i_0_27,i_0_39,i_0_40,i_0_48,i_0_47,i_0_32,i_0_45]) ).
cnf(i_0_799,plain,
union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)) != intersection(union(esk4_0,esk5_0),X1),
inference(scs_inference,[],[i_0_688,i_0_39]) ).
cnf(i_0_800,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(union(esk4_0,esk4_0),intersection(X1,X2))),
inference(scs_inference,[],[i_0_688,i_0_781,i_0_442,i_0_39,i_0_28]) ).
cnf(i_0_801,plain,
subset(intersection(union(X1,X2),intersection(X3,X4)),intersection(intersection(X4,X3),union(X2,X1))),
inference(rename_variables,[],[i_0_442]) ).
cnf(i_0_802,plain,
~ member(esk1_2(esk3_0,union(esk5_0,esk4_0)),intersection(X1,union(esk4_0,esk4_0))),
inference(rename_variables,[],[i_0_781]) ).
cnf(i_0_803,plain,
( ~ subset(X1,X2)
| ~ member(X3,X1)
| member(X3,X2) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_804,plain,
esk3_0 = union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)),
inference(scs_inference,[],[i_0_688,i_0_781,i_0_164,i_0_162,i_0_442,i_0_39,i_0_28,i_0_32]) ).
cnf(i_0_805,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_806,plain,
intersection(intersection(X1,X2),union(esk4_0,esk5_0)) != union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_688,i_0_781,i_0_674,i_0_789,i_0_164,i_0_162,i_0_442,i_0_39,i_0_28,i_0_32,i_0_40]) ).
cnf(i_0_807,plain,
subset(union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)),union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0))),
inference(scs_inference,[],[i_0_688,i_0_781,i_0_674,i_0_789,i_0_441,i_0_164,i_0_162,i_0_442,i_0_632,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48]) ).
cnf(i_0_808,plain,
~ subset(union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),intersection(intersection(X1,X2),union(esk5_0,esk4_0))),
inference(scs_inference,[],[i_0_688,i_0_781,i_0_674,i_0_791,i_0_789,i_0_441,i_0_164,i_0_162,i_0_442,i_0_632,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_809,plain,
union(X1,intersection(esk3_0,esk3_0)) != esk4_0,
inference(scs_inference,[],[i_0_787,i_0_688,i_0_781,i_0_674,i_0_791,i_0_789,i_0_441,i_0_223,i_0_164,i_0_162,i_0_442,i_0_632,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_46]) ).
cnf(i_0_810,plain,
( X1 != esk1_2(esk3_0,union(esk4_0,esk5_0))
| ~ member(X1,esk4_0) ),
inference(scs_inference,[],[i_0_787,i_0_688,i_0_781,i_0_674,i_0_791,i_0_789,i_0_441,i_0_223,i_0_164,i_0_162,i_0_442,i_0_632,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_46,i_0_45]) ).
cnf(i_0_811,plain,
( union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)) != esk1_2(esk3_0,union(esk4_0,esk5_0))
| ~ member(union(intersection(esk4_0,esk3_0),intersection(esk3_0,esk5_0)),esk4_0) ),
inference(scs_inference,[],[i_0_787,i_0_688,i_0_781,i_0_674,i_0_791,i_0_789,i_0_441,i_0_223,i_0_164,i_0_162,i_0_442,i_0_632,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_46,i_0_45,i_0_648]) ).
cnf(i_0_812,plain,
( union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)) != intersection(intersection(X1,X2),union(esk5_0,esk4_0))
| union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)) != esk1_2(esk3_0,union(esk4_0,esk5_0)) ),
inference(scs_inference,[],[i_0_787,i_0_688,i_0_781,i_0_674,i_0_791,i_0_789,i_0_441,i_0_223,i_0_164,i_0_162,i_0_442,i_0_632,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_46,i_0_45,i_0_648,i_0_35]) ).
cnf(i_0_813,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_814,plain,
( union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)) != esk1_2(esk3_0,union(esk4_0,esk5_0))
| ~ member(union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),union(esk4_0,esk4_0)) ),
inference(scs_inference,[],[i_0_787,i_0_688,i_0_781,i_0_674,i_0_791,i_0_789,i_0_441,i_0_223,i_0_164,i_0_162,i_0_442,i_0_632,i_0_39,i_0_28,i_0_32,i_0_40,i_0_48,i_0_47,i_0_46,i_0_45,i_0_648,i_0_35,i_0_20]) ).
cnf(i_0_815,plain,
( member(X1,X2)
| ~ member(X1,union(X2,X3))
| member(X1,X3) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_816,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),esk4_0),
inference(equality_inference,[],[810]) ).
cnf(i_0_817,plain,
union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)) = esk3_0,
inference(scs_inference,[],[i_0_804,i_0_39]) ).
cnf(i_0_818,plain,
~ subset(union(X1,intersection(esk3_0,esk3_0)),intersection(union(esk4_0,esk4_0),intersection(X2,X3))),
inference(scs_inference,[],[i_0_804,i_0_800,i_0_151,i_0_39,i_0_28]) ).
cnf(i_0_819,plain,
( ~ member(X1,X2)
| member(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_820,plain,
esk3_0 = union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_804,i_0_800,i_0_151,i_0_320,i_0_322,i_0_39,i_0_28,i_0_32]) ).
cnf(i_0_821,plain,
( ~ subset(X1,X2)
| X2 = X1
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_822,plain,
union(union(X1,esk3_0),X2) != esk5_0,
inference(scs_inference,[],[i_0_804,i_0_800,i_0_785,i_0_151,i_0_281,i_0_320,i_0_322,i_0_39,i_0_28,i_0_32,i_0_46]) ).
cnf(i_0_823,plain,
esk5_0 != union(intersection(esk5_0,esk3_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_804,i_0_766,i_0_800,i_0_785,i_0_151,i_0_281,i_0_320,i_0_322,i_0_76,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40]) ).
cnf(i_0_824,plain,
union(X1,intersection(X2,X3)) = union(X1,intersection(X3,X2)),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_825,plain,
union(union(X1,X2),intersection(esk3_0,esk3_0)) != intersection(union(esk4_0,esk4_0),intersection(X3,X4)),
inference(scs_inference,[],[i_0_804,i_0_766,i_0_800,i_0_785,i_0_151,i_0_281,i_0_295,i_0_320,i_0_322,i_0_76,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48]) ).
cnf(i_0_826,plain,
subset(union(union(X1,X2),intersection(X3,X4)),union(union(X2,X1),intersection(X4,X3))),
inference(rename_variables,[],[i_0_295]) ).
cnf(i_0_827,plain,
subset(intersection(union(X1,X2),union(X3,X4)),intersection(union(X2,X1),union(X4,X3))),
inference(scs_inference,[],[i_0_804,i_0_766,i_0_800,i_0_785,i_0_151,i_0_281,i_0_764,i_0_295,i_0_320,i_0_322,i_0_124,i_0_76,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_828,plain,
intersection(X1,union(X2,X3)) = intersection(X1,union(X3,X2)),
inference(rename_variables,[],[i_0_124]) ).
cnf(i_0_829,plain,
subset(intersection(union(X1,X2),X3),intersection(union(X2,X1),X3)),
inference(rename_variables,[],[i_0_764]) ).
cnf(i_0_830,plain,
intersection(intersection(X1,X2),union(esk5_0,esk4_0)) != union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_804,i_0_766,i_0_800,i_0_808,i_0_785,i_0_151,i_0_281,i_0_764,i_0_295,i_0_320,i_0_322,i_0_124,i_0_76,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_36]) ).
cnf(i_0_831,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_832,plain,
( member(X1,union(union(X2,X3),intersection(esk3_0,esk3_0)))
| esk1_2(esk3_0,union(esk5_0,esk4_0)) != X1 ),
inference(scs_inference,[],[i_0_804,i_0_766,i_0_800,i_0_808,i_0_785,i_0_151,i_0_281,i_0_764,i_0_295,i_0_320,i_0_322,i_0_124,i_0_76,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_36,i_0_45]) ).
cnf(i_0_833,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(X1,intersection(esk3_0,esk3_0))),
inference(rename_variables,[],[i_0_151]) ).
cnf(i_0_834,plain,
( member(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(union(X1,X2),intersection(esk3_0,esk3_0)))
| esk1_2(esk3_0,union(esk5_0,esk4_0)) != union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)) ),
inference(scs_inference,[],[i_0_804,i_0_766,i_0_800,i_0_808,i_0_785,i_0_151,i_0_281,i_0_764,i_0_295,i_0_320,i_0_322,i_0_124,i_0_76,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_36,i_0_45,i_0_720]) ).
cnf(i_0_835,plain,
( esk1_2(esk3_0,union(esk5_0,esk4_0)) != union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0))
| member(esk3_0,union(union(X1,X2),intersection(esk3_0,esk3_0))) ),
inference(scs_inference,[],[i_0_804,i_0_766,i_0_800,i_0_808,i_0_785,i_0_151,i_0_281,i_0_764,i_0_295,i_0_320,i_0_322,i_0_124,i_0_76,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_36,i_0_45,i_0_720,i_0_140]) ).
cnf(i_0_836,plain,
( X1 = X2
| member(esk2_2(X1,X2),X2)
| member(esk2_2(X1,X2),X1) ),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_837,plain,
( esk1_2(esk3_0,union(esk5_0,esk4_0)) != union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0))
| member(esk2_2(union(X1,intersection(esk3_0,esk3_0)),esk4_0),union(X1,intersection(esk3_0,esk3_0)))
| member(esk2_2(union(X1,intersection(esk3_0,esk3_0)),esk4_0),esk4_0) ),
inference(scs_inference,[],[i_0_804,i_0_809,i_0_766,i_0_800,i_0_808,i_0_785,i_0_151,i_0_281,i_0_764,i_0_295,i_0_320,i_0_322,i_0_124,i_0_76,i_0_39,i_0_28,i_0_32,i_0_46,i_0_40,i_0_48,i_0_47,i_0_36,i_0_45,i_0_720,i_0_140,i_0_22]) ).
cnf(i_0_838,plain,
member(esk1_2(esk3_0,union(esk5_0,esk4_0)),union(union(X1,X2),intersection(esk3_0,esk3_0))),
inference(equality_inference,[],[832]) ).
cnf(i_0_839,plain,
esk5_0 != union(union(X1,esk3_0),X2),
inference(scs_inference,[],[i_0_822,i_0_39]) ).
cnf(i_0_840,plain,
union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)) = union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),
inference(scs_inference,[],[i_0_817,i_0_820,i_0_822,i_0_39,i_0_40]) ).
cnf(i_0_841,plain,
~ subset(union(X1,intersection(esk3_0,esk3_0)),intersection(intersection(X2,X3),union(esk4_0,esk4_0))),
inference(scs_inference,[],[i_0_817,i_0_820,i_0_822,i_0_818,i_0_485,i_0_39,i_0_40,i_0_48]) ).
cnf(i_0_842,plain,
~ subset(union(X1,intersection(esk3_0,esk3_0)),intersection(union(esk4_0,esk4_0),intersection(X2,X3))),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_843,plain,
intersection(intersection(X1,X2),union(X3,X4)) = intersection(union(X4,X3),intersection(X2,X1)),
inference(rename_variables,[],[i_0_485]) ).
cnf(i_0_844,plain,
intersection(union(esk4_0,esk4_0),intersection(X1,X2)) != union(X3,intersection(esk3_0,esk3_0)),
inference(scs_inference,[],[i_0_817,i_0_820,i_0_822,i_0_772,i_0_818,i_0_842,i_0_485,i_0_39,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_845,plain,
subset(intersection(union(X1,X2),intersection(X3,X4)),intersection(union(X2,X1),intersection(X4,X3))),
inference(rename_variables,[],[i_0_772]) ).
cnf(i_0_846,plain,
subset(union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)),union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0))),
inference(scs_inference,[],[i_0_817,i_0_820,i_0_822,i_0_772,i_0_818,i_0_842,i_0_485,i_0_39,i_0_40,i_0_48,i_0_47,i_0_35]) ).
cnf(i_0_847,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_848,plain,
subset(union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0))),
inference(scs_inference,[],[i_0_817,i_0_820,i_0_822,i_0_772,i_0_818,i_0_842,i_0_485,i_0_39,i_0_40,i_0_48,i_0_47,i_0_35,i_0_36]) ).
cnf(i_0_849,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_850,plain,
( ~ subset(union(union(X1,esk3_0),X2),esk5_0)
| ~ subset(esk5_0,union(union(X1,esk3_0),X2)) ),
inference(scs_inference,[],[i_0_817,i_0_820,i_0_822,i_0_772,i_0_818,i_0_842,i_0_485,i_0_39,i_0_40,i_0_48,i_0_47,i_0_35,i_0_36,i_0_32]) ).
cnf(i_0_851,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_852,plain,
( member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(esk5_0,esk3_0))
| member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(esk3_0,esk4_0)) ),
inference(scs_inference,[],[i_0_817,i_0_820,i_0_822,i_0_772,i_0_818,i_0_842,i_0_613,i_0_485,i_0_39,i_0_40,i_0_48,i_0_47,i_0_35,i_0_36,i_0_32,i_0_20]) ).
cnf(i_0_853,plain,
( ~ member(X1,union(X2,X3))
| member(X1,X3)
| member(X1,X2) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_854,plain,
union(X1,intersection(esk3_0,esk3_0)) != intersection(intersection(X2,X3),union(esk4_0,esk4_0)),
inference(scs_inference,[],[i_0_841,i_0_35]) ).
cnf(i_0_855,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_856,plain,
intersection(intersection(X1,X2),union(esk4_0,esk4_0)) != union(X3,intersection(esk3_0,esk3_0)),
inference(scs_inference,[],[i_0_841,i_0_35,i_0_36]) ).
cnf(i_0_857,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_858,plain,
union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)) = union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)),
inference(scs_inference,[],[i_0_841,i_0_840,i_0_35,i_0_36,i_0_39]) ).
cnf(i_0_859,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,esk5_0)),
inference(scs_inference,[],[i_0_841,i_0_840,i_0_785,i_0_35,i_0_36,i_0_39,i_0_20]) ).
cnf(i_0_860,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_861,plain,
intersection(intersection(X1,X2),union(esk4_0,esk5_0)) != union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)),
inference(scs_inference,[],[i_0_841,i_0_806,i_0_840,i_0_785,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40]) ).
cnf(i_0_862,plain,
subset(union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)),union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0))),
inference(scs_inference,[],[i_0_841,i_0_806,i_0_840,i_0_807,i_0_785,i_0_748,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48]) ).
cnf(i_0_863,plain,
~ subset(union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)),intersection(intersection(X1,X2),union(esk5_0,esk4_0))),
inference(scs_inference,[],[i_0_841,i_0_806,i_0_840,i_0_807,i_0_808,i_0_785,i_0_748,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_864,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(esk5_0,X1)),
inference(scs_inference,[],[i_0_841,i_0_806,i_0_840,i_0_807,i_0_808,i_0_785,i_0_748,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_24]) ).
cnf(i_0_865,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_866,plain,
~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(X1,esk5_0)),
inference(scs_inference,[],[i_0_841,i_0_806,i_0_840,i_0_807,i_0_808,i_0_785,i_0_748,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25]) ).
cnf(i_0_867,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_868,plain,
~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk4_0,esk5_0)),esk4_0),
inference(scs_inference,[],[i_0_841,i_0_806,i_0_840,i_0_807,i_0_808,i_0_785,i_0_748,i_0_199,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_26]) ).
cnf(i_0_869,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_870,plain,
~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk4_0,esk5_0)),esk5_0),
inference(scs_inference,[],[i_0_841,i_0_806,i_0_840,i_0_807,i_0_808,i_0_785,i_0_748,i_0_199,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_26,i_0_27]) ).
cnf(i_0_871,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_872,plain,
( ~ subset(union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)),union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)))
| union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)) = union(intersection(esk4_0,esk3_0),intersection(esk5_0,esk3_0)) ),
inference(scs_inference,[],[i_0_841,i_0_806,i_0_840,i_0_807,i_0_808,i_0_785,i_0_748,i_0_199,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_26,i_0_27,i_0_32]) ).
cnf(i_0_873,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_874,plain,
( member(union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),X1)
| ~ member(union(intersection(esk3_0,esk4_0),intersection(esk5_0,esk3_0)),X1) ),
inference(scs_inference,[],[i_0_841,i_0_806,i_0_840,i_0_807,i_0_808,i_0_785,i_0_748,i_0_199,i_0_35,i_0_36,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_24,i_0_25,i_0_26,i_0_27,i_0_32,i_0_45]) ).
cnf(i_0_875,plain,
member(esk1_2(esk3_0,union(esk4_0,esk5_0)),intersection(esk3_0,esk4_0)),
inference(scs_inference,[],[i_0_864,i_0_852]) ).
cnf(i_0_876,plain,
union(intersection(esk3_0,esk5_0),intersection(esk3_0,esk4_0)) != intersection(union(esk5_0,esk4_0),intersection(X1,X2)),
inference(scs_inference,[],[i_0_693,i_0_39]) ).
cnf(i_0_877,plain,
~ member(esk1_2(union(intersection(esk3_0,esk4_0),intersection(esk3_0,esk5_0)),union(esk4_0,esk5_0)),union(esk4_0,esk4_0)),
inference(scs_inference,[],[i_0_693,i_0_868,i_0_39,i_0_20]) ).
cnf(i_0_878,plain,
( member(X1,X2)
| ~ member(X1,union(X2,X3))
| member(X1,X3) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_879,plain,
esk3_0 != intersection(union(esk5_0,esk4_0),intersection(X1,X2)),
inference(scs_inference,[],[i_0_30,i_0_693,i_0_709,i_0_868,i_0_39,i_0_20,i_0_40]) ).
cnf(i_0_880,plain,
union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)) != intersection(intersection(X1,X2),union(esk5_0,esk4_0)),
inference(scs_inference,[],[i_0_30,i_0_693,i_0_709,i_0_863,i_0_846,i_0_868,i_0_39,i_0_20,i_0_40,i_0_48]) ).
cnf(i_0_881,plain,
subset(intersection(union(X1,X2),union(X3,X4)),intersection(union(X4,X3),union(X2,X1))),
inference(scs_inference,[],[i_0_30,i_0_827,i_0_693,i_0_709,i_0_863,i_0_846,i_0_868,i_0_33,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47]) ).
cnf(i_0_882,plain,
intersection(X1,X2) = intersection(X2,X1),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_883,plain,
~ subset(union(union(esk3_0,X1),X2),union(union(esk5_0,esk5_0),union(esk5_0,esk5_0))),
inference(scs_inference,[],[i_0_30,i_0_827,i_0_693,i_0_709,i_0_863,i_0_846,i_0_868,i_0_691,i_0_171,i_0_33,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_28]) ).
cnf(i_0_884,plain,
( ~ member(X1,X2)
| member(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_885,plain,
( ~ subset(union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)))
| union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)) = union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)) ),
inference(scs_inference,[],[i_0_30,i_0_827,i_0_693,i_0_709,i_0_863,i_0_846,i_0_862,i_0_868,i_0_691,i_0_171,i_0_33,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_28,i_0_32]) ).
cnf(i_0_886,plain,
( ~ subset(X1,X2)
| X2 = X1
| ~ subset(X2,X1) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_887,plain,
( ~ subset(union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)))
| subset(union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0))) ),
inference(scs_inference,[],[i_0_30,i_0_827,i_0_693,i_0_709,i_0_863,i_0_846,i_0_862,i_0_868,i_0_691,i_0_171,i_0_33,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_28,i_0_32,i_0_35]) ).
cnf(i_0_888,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_889,plain,
( ~ subset(union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)))
| X1 != esk1_2(esk3_0,union(esk4_0,esk5_0))
| ~ member(X1,union(esk5_0,esk5_0)) ),
inference(scs_inference,[],[i_0_30,i_0_859,i_0_827,i_0_693,i_0_709,i_0_863,i_0_846,i_0_862,i_0_868,i_0_691,i_0_171,i_0_33,i_0_39,i_0_20,i_0_40,i_0_48,i_0_47,i_0_28,i_0_32,i_0_35,i_0_45]) ).
cnf(i_0_890,plain,
( ~ subset(union(intersection(esk3_0,esk5_0),intersection(esk4_0,esk3_0)),union(intersection(esk5_0,esk3_0),intersection(esk3_0,esk4_0)))
| ~ member(esk1_2(esk3_0,union(esk4_0,esk5_0)),union(esk5_0,esk5_0)) ),
inference(equality_inference,[],[889]) ).
cnf(i_0_891,plain,
union(union(esk3_0,X1),X2) != union(union(esk5_0,esk5_0),union(esk5_0,esk5_0)),
inference(scs_inference,[],[i_0_883,i_0_35]) ).
cnf(i_0_892,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_893,plain,
$false,
inference(scs_inference,[],[i_0_875,i_0_883,i_0_787,i_0_35,i_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET594+3 : TPTP v9.2.1. Released v2.2.0.
% 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
% 0.14/0.32 % Computer : n028.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 02:29:16 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 56.14/30.67 % Version : CSE_E---1.7
% 56.14/30.67 % Problem : theBenchmark.p
% 56.14/30.67 % SZS status Theorem for theBenchmark.p
% 56.14/30.67 % SZS output start CNFRefutation
% See solution above
% 59.29/32.25 % Total time : 30.333s
%------------------------------------------------------------------------------