%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU230+3 : TPTP v9.2.1. Released v3.2.0.
% 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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:11:10 PM UTC 2026
% Result : Theorem 0.31s 1.61s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 91)
% Comments :
%------------------------------------------------------------------------------
fof(fc1_ordinal1,axiom,
! [X1] : ~ empty(succ(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_ordinal1) ).
fof(t10_ordinal1,conjecture,
! [X1] : in(X1,succ(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_ordinal1) ).
fof(d1_ordinal1,axiom,
! [X1] : succ(X1) = set_union2(X1,singleton(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_ordinal1) ).
fof(fc2_xboole_0,axiom,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_xboole_0) ).
fof(fc3_xboole_0,axiom,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_xboole_0) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(rc2_relat_1,axiom,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(d2_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_union2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
| in(X4,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = singleton(X1)
<=> ! [X3] :
( in(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(fc2_relat_1,axiom,
! [X1,X2] :
( ( relation(X1)
& relation(X2) )
=> relation(set_union2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_relat_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(commutativity_k2_xboole_0,axiom,
! [X1,X2] : set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(cc2_funct_1,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_funct_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(idempotence_k2_xboole_0,axiom,
! [X1,X2] : set_union2(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
fof(t1_boole,axiom,
! [X1] : set_union2(X1,empty_set) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_boole) ).
fof(cc1_relat_1,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(cc1_funct_1,axiom,
! [X1] :
( empty(X1)
=> function(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(rc5_funct_1,axiom,
? [X1] :
( relation(X1)
& relation_non_empty(X1)
& function(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_funct_1) ).
fof(rc4_funct_1,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1)
& function(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_funct_1) ).
fof(rc3_relat_1,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(rc3_funct_1,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(rc2_funct_1,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(rc1_relat_1,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(rc1_funct_1,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(fc12_relat_1,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(fc4_relat_1,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_34,plain,
! [X1] : ~ empty(succ(X1)),
inference(fof_simplification,[status(thm)],[fc1_ordinal1]) ).
fof(i_0_35,negated_conjecture,
~ ! [X1] : in(X1,succ(X1)),
inference(assume_negation,[status(cth)],[t10_ordinal1]) ).
fof(i_0_36,plain,
! [X78] : ~ empty(succ(X78)),
inference(variable_rename,[status(thm)],[i_0_34]) ).
fof(i_0_37,plain,
! [X59] : succ(X59) = set_union2(X59,singleton(X59)),
inference(variable_rename,[status(thm)],[d1_ordinal1]) ).
fof(i_0_38,negated_conjecture,
~ in(esk14_0,succ(esk14_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_35])])]) ).
fof(i_0_39,plain,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc2_xboole_0]) ).
fof(i_0_40,plain,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X2,X1)) ),
inference(fof_simplification,[status(thm)],[fc3_xboole_0]) ).
fof(i_0_41,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_42,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_43,plain,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
inference(fof_simplification,[status(thm)],[rc2_relat_1]) ).
fof(i_0_44,plain,
! [X67,X68,X69,X70,X71,X72,X73,X74] :
( ( ~ in(X70,X69)
| in(X70,X67)
| in(X70,X68)
| X69 != set_union2(X67,X68) )
& ( ~ in(X71,X67)
| in(X71,X69)
| X69 != set_union2(X67,X68) )
& ( ~ in(X71,X68)
| in(X71,X69)
| X69 != set_union2(X67,X68) )
& ( ~ in(esk2_3(X72,X73,X74),X72)
| ~ in(esk2_3(X72,X73,X74),X74)
| X74 = set_union2(X72,X73) )
& ( ~ in(esk2_3(X72,X73,X74),X73)
| ~ in(esk2_3(X72,X73,X74),X74)
| X74 = set_union2(X72,X73) )
& ( in(esk2_3(X72,X73,X74),X74)
| in(esk2_3(X72,X73,X74),X72)
| in(esk2_3(X72,X73,X74),X73)
| X74 = set_union2(X72,X73) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_xboole_0])])])])])]) ).
fof(i_0_45,plain,
! [X60,X61,X62,X63,X64,X65] :
( ( ~ in(X62,X61)
| X62 = X60
| X61 != singleton(X60) )
& ( X63 != X60
| in(X63,X61)
| X61 != singleton(X60) )
& ( ~ in(esk1_2(X64,X65),X65)
| esk1_2(X64,X65) != X64
| X65 = singleton(X64) )
& ( in(esk1_2(X64,X65),X65)
| esk1_2(X64,X65) = X64
| X65 = singleton(X64) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tarski])])])])])]) ).
cnf(i_0_46,plain,
~ empty(succ(X1)),
inference(split_conjunct,[status(thm)],[i_0_36]) ).
cnf(i_0_47,plain,
succ(X1) = set_union2(X1,singleton(X1)),
inference(split_conjunct,[status(thm)],[i_0_37]) ).
cnf(i_0_48,negated_conjecture,
~ in(esk14_0,succ(esk14_0)),
inference(split_conjunct,[status(thm)],[i_0_38]) ).
fof(i_0_49,plain,
! [X81,X82] :
( empty(X81)
| ~ empty(set_union2(X81,X82)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_39])]) ).
fof(i_0_50,plain,
! [X83,X84] :
( empty(X83)
| ~ empty(set_union2(X84,X83)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_40])]) ).
fof(i_0_51,plain,
! [X52,X53] :
( ~ in(X52,X53)
| ~ in(X53,X52) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_41])]) ).
fof(i_0_52,plain,
! [X79,X80] :
( ~ relation(X79)
| ~ relation(X80)
| relation(set_union2(X79,X80)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_relat_1])]) ).
fof(i_0_53,plain,
! [X100,X101] :
( ~ element(X100,X101)
| empty(X101)
| in(X100,X101) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_54,plain,
! [X98,X99] :
( ~ in(X98,X99)
| element(X98,X99) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_55,plain,
! [X103,X104] :
( ~ in(X103,X104)
| ~ empty(X104) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_56,plain,
! [X57,X58] : set_union2(X57,X58) = set_union2(X58,X57),
inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0]) ).
fof(i_0_57,plain,
! [X56] :
( ( relation(X56)
| ~ relation(X56)
| ~ empty(X56)
| ~ function(X56) )
& ( function(X56)
| ~ relation(X56)
| ~ empty(X56)
| ~ function(X56) )
& ( one_to_one(X56)
| ~ relation(X56)
| ~ empty(X56)
| ~ function(X56) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_funct_1])])]) ).
fof(i_0_58,plain,
! [X76] : element(esk3_1(X76),X76),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_59,plain,
! [X105,X106] :
( ~ empty(X105)
| X105 = X106
| ~ empty(X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_60,plain,
! [X85] : set_union2(X85,X85) = X85,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k2_xboole_0])]) ).
fof(i_0_61,plain,
! [X97] : set_union2(X97,empty_set) = X97,
inference(variable_rename,[status(thm)],[t1_boole]) ).
fof(i_0_62,plain,
! [X55] :
( ~ empty(X55)
| relation(X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
fof(i_0_63,plain,
! [X54] :
( ~ empty(X54)
| function(X54) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])]) ).
fof(i_0_64,plain,
! [X102] :
( ~ empty(X102)
| X102 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_65,plain,
~ empty(esk9_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_42])]) ).
fof(i_0_66,plain,
( ~ empty(esk8_0)
& relation(esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_43])]) ).
fof(i_0_67,plain,
( relation(esk13_0)
& relation_non_empty(esk13_0)
& function(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc5_funct_1])]) ).
fof(i_0_68,plain,
( relation(esk12_0)
& relation_empty_yielding(esk12_0)
& function(esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc4_funct_1])]) ).
fof(i_0_69,plain,
( relation(esk11_0)
& relation_empty_yielding(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_relat_1])]) ).
fof(i_0_70,plain,
( relation(esk10_0)
& function(esk10_0)
& one_to_one(esk10_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_funct_1])]) ).
fof(i_0_71,plain,
( relation(esk7_0)
& empty(esk7_0)
& function(esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_funct_1])]) ).
fof(i_0_72,plain,
( empty(esk5_0)
& relation(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
fof(i_0_73,plain,
( relation(esk4_0)
& function(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_1])]) ).
fof(i_0_74,plain,
empty(esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_75,plain,
( X3 = set_union2(X1,X2)
| ~ in(esk2_3(X1,X2,X3),X1)
| ~ in(esk2_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_76,plain,
( X3 = set_union2(X1,X2)
| ~ in(esk2_3(X1,X2,X3),X2)
| ~ in(esk2_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_77,plain,
( in(esk2_3(X1,X2,X3),X3)
| in(esk2_3(X1,X2,X3),X1)
| in(esk2_3(X1,X2,X3),X2)
| X3 = set_union2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_78,plain,
( X2 = singleton(X1)
| ~ in(esk1_2(X1,X2),X2)
| esk1_2(X1,X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_79,plain,
( in(X1,X3)
| in(X1,X4)
| ~ in(X1,X2)
| X2 != set_union2(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_80,plain,
~ empty(set_union2(X1,singleton(X1))),
inference(rw,[status(thm)],[i_0_46,c_0_47]),
[final] ).
cnf(i_0_81,negated_conjecture,
~ in(esk14_0,set_union2(esk14_0,singleton(esk14_0))),
inference(rw,[status(thm)],[i_0_48,c_0_47]),
[final] ).
cnf(i_0_82,plain,
( in(X1,X3)
| ~ in(X1,X2)
| X3 != set_union2(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_83,plain,
( in(X1,X3)
| ~ in(X1,X2)
| X3 != set_union2(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_84,plain,
( in(esk1_2(X1,X2),X2)
| esk1_2(X1,X2) = X1
| X2 = singleton(X1) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_85,plain,
( empty(X1)
| ~ empty(set_union2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_86,plain,
( empty(X1)
| ~ empty(set_union2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_87,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_88,plain,
( relation(set_union2(X1,X2))
| ~ relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_89,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_90,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_91,plain,
( X1 = X3
| ~ in(X1,X2)
| X2 != singleton(X3) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_92,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_93,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_94,plain,
( in(X1,X3)
| X1 != X2
| X3 != singleton(X2) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_95,plain,
( one_to_one(X1)
| ~ relation(X1)
| ~ empty(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_96,plain,
element(esk3_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_97,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_98,plain,
set_union2(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_99,plain,
set_union2(X1,empty_set) = X1,
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_100,plain,
( relation(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_101,plain,
( function(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_102,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_103,plain,
~ empty(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_104,plain,
~ empty(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_105,plain,
relation_non_empty(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_106,plain,
relation_empty_yielding(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_107,plain,
relation_empty_yielding(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_108,plain,
relation_empty_yielding(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_109,plain,
one_to_one(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_110,plain,
relation(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_111,plain,
relation(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_112,plain,
relation(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_113,plain,
relation(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_114,plain,
relation(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_115,plain,
relation(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_116,plain,
relation(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_117,plain,
relation(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_118,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_119,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_120,plain,
function(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_121,plain,
function(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_122,plain,
function(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_123,plain,
function(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_124,plain,
function(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_125,plain,
empty(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_126,plain,
empty(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_127,plain,
empty(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_128,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_129,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_130,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_131,axiom,
X1 = X1 ).
cnf(i_0_132,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_133,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_134,axiom,
( X1 != X2
| set_union2(X1,X3) = set_union2(X2,X3) ) ).
cnf(i_0_135,axiom,
( X1 != X2
| set_union2(X3,X1) = set_union2(X3,X2) ) ).
cnf(i_0_136,axiom,
( X1 != X2
| singleton(X1) = singleton(X2) ) ).
cnf(i_0_137,axiom,
( X1 != X2
| esk1_2(X1,X3) = esk1_2(X2,X3) ) ).
cnf(i_0_138,axiom,
( X1 != X2
| esk1_2(X3,X1) = esk1_2(X3,X2) ) ).
cnf(i_0_139,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_140,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_141,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_142,axiom,
( X1 != X2
| ~ relation(X1)
| relation(X2) ) ).
cnf(i_0_143,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_144,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_145,axiom,
( X1 != X2
| ~ one_to_one(X1)
| one_to_one(X2) ) ).
cnf(i_0_146,axiom,
( X1 != X2
| ~ function(X1)
| function(X2) ) ).
cnf(i_0_147,axiom,
( X1 != X2
| ~ relation_non_empty(X1)
| relation_non_empty(X2) ) ).
cnf(i_0_148,axiom,
( X1 != X2
| ~ relation_empty_yielding(X1)
| relation_empty_yielding(X2) ) ).
cnf(i_0_131_001,axiom,
X1 = X1 ).
cnf(i_0_132_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_133_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_134_004,axiom,
( X1 != X2
| set_union2(X1,X3) = set_union2(X2,X3) ) ).
cnf(i_0_135_005,axiom,
( X1 != X2
| set_union2(X3,X1) = set_union2(X3,X2) ) ).
cnf(i_0_136_006,axiom,
( X1 != X2
| singleton(X1) = singleton(X2) ) ).
cnf(i_0_137_007,axiom,
( X1 != X2
| esk1_2(X1,X3) = esk1_2(X2,X3) ) ).
cnf(i_0_138_008,axiom,
( X1 != X2
| esk1_2(X3,X1) = esk1_2(X3,X2) ) ).
cnf(i_0_139_009,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_140_010,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_141_011,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_142_012,axiom,
( X1 != X2
| ~ relation(X1)
| relation(X2) ) ).
cnf(i_0_143_013,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_144_014,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_145_015,axiom,
( X1 != X2
| ~ one_to_one(X1)
| one_to_one(X2) ) ).
cnf(i_0_146_016,axiom,
( X1 != X2
| ~ function(X1)
| function(X2) ) ).
cnf(i_0_147_017,axiom,
( X1 != X2
| ~ relation_non_empty(X1)
| relation_non_empty(X2) ) ).
cnf(i_0_148_018,axiom,
( X1 != X2
| ~ relation_empty_yielding(X1)
| relation_empty_yielding(X2) ) ).
cnf(i_0_149,plain,
( in(X1,X2)
| in(X1,X3)
| ~ in(X1,set_union2(X2,X3)) ),
inference(equality_inference,[],[79]) ).
cnf(i_0_150,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X2) ),
inference(equality_inference,[],[82]) ).
cnf(i_0_151,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X3) ),
inference(equality_inference,[],[83]) ).
cnf(i_0_152,plain,
( X1 = X2
| ~ in(X1,singleton(X2)) ),
inference(equality_inference,[],[91]) ).
cnf(i_0_153,plain,
~ in(X1,esk7_0),
inference(scs_inference,[],[i_0_125,i_0_92]) ).
cnf(i_0_154,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_155,plain,
relation(esk6_0),
inference(scs_inference,[],[i_0_125,i_0_126,i_0_92,i_0_100]) ).
cnf(i_0_156,plain,
( ~ empty(X1)
| relation(X1) ),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_157,plain,
function(esk6_0),
inference(scs_inference,[],[i_0_125,i_0_126,i_0_92,i_0_100,i_0_101]) ).
cnf(i_0_158,plain,
( ~ empty(X1)
| function(X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_159,plain,
X1 = set_union2(X1,X1),
inference(scs_inference,[],[i_0_98,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132]) ).
cnf(i_0_160,plain,
~ in(esk14_0,singleton(esk14_0)),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_93,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82]) ).
cnf(i_0_161,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(rename_variables,[],[i_0_93]) ).
cnf(i_0_162,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_163,plain,
~ in(esk14_0,esk14_0),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_93,i_0_161,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83]) ).
cnf(i_0_164,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(rename_variables,[],[i_0_93]) ).
cnf(i_0_165,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X3) ),
inference(rename_variables,[],[i_0_83]) ).
cnf(i_0_166,plain,
in(esk3_1(esk9_0),esk9_0),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_93,i_0_161,i_0_96,i_0_103,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89]) ).
cnf(i_0_167,plain,
element(esk3_1(X1),X1),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_168,plain,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_169,plain,
in(set_union2(X1,X1),set_union2(singleton(X1),empty_set)),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_93,i_0_161,i_0_96,i_0_99,i_0_103,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94]) ).
cnf(i_0_170,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_171,plain,
( X1 != singleton(X2)
| in(X3,X1)
| X3 != X2 ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_172,plain,
~ in(set_union2(esk14_0,esk14_0),set_union2(esk14_0,singleton(esk14_0))),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_93,i_0_161,i_0_96,i_0_99,i_0_103,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94,i_0_139]) ).
cnf(i_0_173,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_174,plain,
~ in(X1,set_union2(esk7_0,esk7_0)),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_173,i_0_93,i_0_161,i_0_96,i_0_99,i_0_103,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94,i_0_139,i_0_140]) ).
cnf(i_0_175,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_176,plain,
set_union2(set_union2(X1,empty_set),set_union2(X1,empty_set)) = X1,
inference(scs_inference,[],[i_0_81,i_0_98,i_0_173,i_0_175,i_0_93,i_0_161,i_0_96,i_0_99,i_0_170,i_0_103,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94,i_0_139,i_0_140,i_0_133]) ).
cnf(i_0_177,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_178,plain,
esk7_0 != esk9_0,
inference(scs_inference,[],[i_0_81,i_0_98,i_0_173,i_0_175,i_0_93,i_0_161,i_0_96,i_0_99,i_0_170,i_0_103,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94,i_0_139,i_0_140,i_0_133,i_0_141]) ).
cnf(i_0_179,plain,
one_to_one(esk7_0),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_173,i_0_175,i_0_93,i_0_161,i_0_96,i_0_99,i_0_170,i_0_103,i_0_115,i_0_123,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94,i_0_139,i_0_140,i_0_133,i_0_141,i_0_95]) ).
cnf(i_0_180,plain,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| one_to_one(X1) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_181,plain,
in(esk3_1(esk9_0),set_union2(esk9_0,X1)),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_173,i_0_175,i_0_93,i_0_161,i_0_96,i_0_99,i_0_170,i_0_103,i_0_115,i_0_123,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94,i_0_139,i_0_140,i_0_133,i_0_141,i_0_95,i_0_150]) ).
cnf(i_0_182,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_183,plain,
in(esk3_1(esk9_0),set_union2(X1,esk9_0)),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_173,i_0_175,i_0_93,i_0_161,i_0_96,i_0_99,i_0_170,i_0_103,i_0_115,i_0_123,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94,i_0_139,i_0_140,i_0_133,i_0_141,i_0_95,i_0_150,i_0_151]) ).
cnf(i_0_184,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_151]) ).
cnf(i_0_185,plain,
~ in(esk9_0,esk3_1(esk9_0)),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_173,i_0_175,i_0_93,i_0_161,i_0_96,i_0_99,i_0_170,i_0_103,i_0_115,i_0_123,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94,i_0_139,i_0_140,i_0_133,i_0_141,i_0_95,i_0_150,i_0_151,i_0_87]) ).
cnf(i_0_186,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_187,plain,
element(set_union2(esk14_0,esk14_0),set_union2(singleton(esk14_0),empty_set)),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_173,i_0_175,i_0_93,i_0_161,i_0_96,i_0_99,i_0_170,i_0_103,i_0_115,i_0_123,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94,i_0_139,i_0_140,i_0_133,i_0_141,i_0_95,i_0_150,i_0_151,i_0_87,i_0_90]) ).
cnf(i_0_188,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_189,plain,
( in(set_union2(esk14_0,esk14_0),singleton(esk14_0))
| in(set_union2(esk14_0,esk14_0),empty_set) ),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_173,i_0_175,i_0_93,i_0_161,i_0_96,i_0_99,i_0_170,i_0_103,i_0_115,i_0_123,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94,i_0_139,i_0_140,i_0_133,i_0_141,i_0_95,i_0_150,i_0_151,i_0_87,i_0_90,i_0_149]) ).
cnf(i_0_190,plain,
( ~ in(X1,set_union2(X2,X3))
| in(X1,X2)
| in(X1,X3) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_191,plain,
~ in(esk7_0,set_union2(singleton(esk9_0),singleton(esk9_0))),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_173,i_0_175,i_0_177,i_0_93,i_0_161,i_0_96,i_0_99,i_0_170,i_0_103,i_0_115,i_0_123,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94,i_0_139,i_0_140,i_0_133,i_0_141,i_0_95,i_0_150,i_0_151,i_0_87,i_0_90,i_0_149,i_0_91]) ).
cnf(i_0_192,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_193,plain,
( X1 != singleton(X2)
| X3 = X2
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_91]) ).
cnf(i_0_194,plain,
( relation(X1)
| esk13_0 != X1 ),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_173,i_0_175,i_0_177,i_0_93,i_0_161,i_0_96,i_0_99,i_0_170,i_0_103,i_0_110,i_0_115,i_0_123,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94,i_0_139,i_0_140,i_0_133,i_0_141,i_0_95,i_0_150,i_0_151,i_0_87,i_0_90,i_0_149,i_0_91,i_0_142]) ).
cnf(i_0_195,plain,
( one_to_one(X1)
| esk10_0 != X1 ),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_173,i_0_175,i_0_177,i_0_93,i_0_161,i_0_96,i_0_99,i_0_170,i_0_103,i_0_109,i_0_110,i_0_115,i_0_123,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94,i_0_139,i_0_140,i_0_133,i_0_141,i_0_95,i_0_150,i_0_151,i_0_87,i_0_90,i_0_149,i_0_91,i_0_142,i_0_145]) ).
cnf(i_0_196,plain,
( function(X1)
| esk13_0 != X1 ),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_173,i_0_175,i_0_177,i_0_93,i_0_161,i_0_96,i_0_99,i_0_170,i_0_103,i_0_109,i_0_110,i_0_115,i_0_120,i_0_123,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94,i_0_139,i_0_140,i_0_133,i_0_141,i_0_95,i_0_150,i_0_151,i_0_87,i_0_90,i_0_149,i_0_91,i_0_142,i_0_145,i_0_146]) ).
cnf(i_0_197,plain,
( relation_non_empty(X1)
| esk13_0 != X1 ),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_173,i_0_175,i_0_177,i_0_93,i_0_161,i_0_96,i_0_99,i_0_170,i_0_103,i_0_105,i_0_109,i_0_110,i_0_115,i_0_120,i_0_123,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94,i_0_139,i_0_140,i_0_133,i_0_141,i_0_95,i_0_150,i_0_151,i_0_87,i_0_90,i_0_149,i_0_91,i_0_142,i_0_145,i_0_146,i_0_147]) ).
cnf(i_0_198,plain,
( relation_empty_yielding(X1)
| esk12_0 != X1 ),
inference(scs_inference,[],[i_0_81,i_0_98,i_0_173,i_0_175,i_0_177,i_0_93,i_0_161,i_0_96,i_0_99,i_0_170,i_0_103,i_0_105,i_0_106,i_0_109,i_0_110,i_0_115,i_0_120,i_0_123,i_0_125,i_0_126,i_0_92,i_0_100,i_0_101,i_0_132,i_0_82,i_0_83,i_0_89,i_0_94,i_0_139,i_0_140,i_0_133,i_0_141,i_0_95,i_0_150,i_0_151,i_0_87,i_0_90,i_0_149,i_0_91,i_0_142,i_0_145,i_0_146,i_0_147,i_0_148]) ).
cnf(i_0_199,plain,
relation(esk13_0),
inference(equality_inference,[],[194]) ).
cnf(i_0_200,plain,
one_to_one(esk10_0),
inference(equality_inference,[],[195]) ).
cnf(i_0_201,plain,
function(esk13_0),
inference(equality_inference,[],[196]) ).
cnf(i_0_202,plain,
relation_non_empty(esk13_0),
inference(equality_inference,[],[197]) ).
cnf(i_0_203,plain,
relation_empty_yielding(esk12_0),
inference(equality_inference,[],[198]) ).
cnf(i_0_204,plain,
relation(set_union2(esk13_0,esk13_0)),
inference(scs_inference,[],[i_0_159,i_0_194]) ).
cnf(i_0_205,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_206,plain,
one_to_one(set_union2(esk10_0,esk10_0)),
inference(scs_inference,[],[i_0_159,i_0_205,i_0_194,i_0_195]) ).
cnf(i_0_207,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_208,plain,
function(set_union2(esk13_0,esk13_0)),
inference(scs_inference,[],[i_0_159,i_0_205,i_0_207,i_0_194,i_0_195,i_0_196]) ).
cnf(i_0_209,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_210,plain,
relation_non_empty(set_union2(esk13_0,esk13_0)),
inference(scs_inference,[],[i_0_159,i_0_205,i_0_207,i_0_209,i_0_194,i_0_195,i_0_196,i_0_197]) ).
cnf(i_0_211,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_212,plain,
relation_empty_yielding(set_union2(esk12_0,esk12_0)),
inference(scs_inference,[],[i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198]) ).
cnf(i_0_213,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_214,plain,
in(esk3_1(esk9_0),set_union2(set_union2(esk9_0,X1),X2)),
inference(scs_inference,[],[i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150]) ).
cnf(i_0_215,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_216,plain,
in(esk3_1(esk9_0),set_union2(X1,set_union2(esk9_0,X2))),
inference(scs_inference,[],[i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151]) ).
cnf(i_0_217,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_151]) ).
cnf(i_0_218,plain,
~ in(set_union2(singleton(X1),empty_set),set_union2(X1,X1)),
inference(scs_inference,[],[i_0_169,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87]) ).
cnf(i_0_219,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_220,plain,
element(set_union2(X1,X1),set_union2(singleton(X1),empty_set)),
inference(scs_inference,[],[i_0_169,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90]) ).
cnf(i_0_221,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_222,plain,
~ in(X1,esk5_0),
inference(scs_inference,[],[i_0_169,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_127,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92]) ).
cnf(i_0_223,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_224,plain,
function(esk5_0),
inference(scs_inference,[],[i_0_169,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_127,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101]) ).
cnf(i_0_225,plain,
( ~ empty(X1)
| function(X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_226,plain,
X1 = set_union2(set_union2(X1,empty_set),set_union2(X1,empty_set)),
inference(scs_inference,[],[i_0_169,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_176,i_0_127,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_132]) ).
cnf(i_0_227,plain,
in(esk3_1(esk8_0),esk8_0),
inference(scs_inference,[],[i_0_169,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_176,i_0_104,i_0_96,i_0_127,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_132,i_0_89]) ).
cnf(i_0_228,plain,
element(esk3_1(X1),X1),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_229,plain,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_230,plain,
~ in(esk7_0,set_union2(singleton(esk9_0),empty_set)),
inference(scs_inference,[],[i_0_169,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_176,i_0_104,i_0_178,i_0_96,i_0_99,i_0_127,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_132,i_0_89,i_0_91]) ).
cnf(i_0_231,plain,
set_union2(X1,empty_set) = X1,
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_232,plain,
( X1 != singleton(X2)
| X3 = X2
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_91]) ).
cnf(i_0_233,plain,
~ in(set_union2(set_union2(esk14_0,empty_set),set_union2(esk14_0,empty_set)),set_union2(esk14_0,singleton(esk14_0))),
inference(scs_inference,[],[i_0_81,i_0_169,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_176,i_0_104,i_0_178,i_0_96,i_0_99,i_0_127,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_132,i_0_89,i_0_91,i_0_139]) ).
cnf(i_0_234,plain,
set_union2(set_union2(X1,empty_set),set_union2(X1,empty_set)) = X1,
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_235,plain,
~ in(esk14_0,set_union2(set_union2(esk14_0,empty_set),set_union2(esk14_0,empty_set))),
inference(scs_inference,[],[i_0_81,i_0_169,i_0_163,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_176,i_0_234,i_0_104,i_0_178,i_0_96,i_0_99,i_0_127,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_132,i_0_89,i_0_91,i_0_139,i_0_140]) ).
cnf(i_0_236,plain,
set_union2(set_union2(X1,empty_set),set_union2(X1,empty_set)) = X1,
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_237,plain,
esk5_0 != esk8_0,
inference(scs_inference,[],[i_0_81,i_0_169,i_0_163,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_176,i_0_234,i_0_104,i_0_178,i_0_96,i_0_99,i_0_127,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_132,i_0_89,i_0_91,i_0_139,i_0_140,i_0_141]) ).
cnf(i_0_238,plain,
relation(set_union2(esk6_0,esk6_0)),
inference(scs_inference,[],[i_0_81,i_0_169,i_0_163,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_213,i_0_176,i_0_234,i_0_104,i_0_155,i_0_178,i_0_96,i_0_99,i_0_127,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_132,i_0_89,i_0_91,i_0_139,i_0_140,i_0_141,i_0_142]) ).
cnf(i_0_239,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_240,plain,
one_to_one(set_union2(esk7_0,esk7_0)),
inference(scs_inference,[],[i_0_81,i_0_169,i_0_163,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_213,i_0_239,i_0_176,i_0_234,i_0_104,i_0_155,i_0_178,i_0_179,i_0_96,i_0_99,i_0_127,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_132,i_0_89,i_0_91,i_0_139,i_0_140,i_0_141,i_0_142,i_0_145]) ).
cnf(i_0_241,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_242,plain,
function(set_union2(esk6_0,esk6_0)),
inference(scs_inference,[],[i_0_81,i_0_169,i_0_163,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_213,i_0_239,i_0_241,i_0_176,i_0_234,i_0_104,i_0_155,i_0_157,i_0_178,i_0_179,i_0_96,i_0_99,i_0_127,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_132,i_0_89,i_0_91,i_0_139,i_0_140,i_0_141,i_0_142,i_0_145,i_0_146]) ).
cnf(i_0_243,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_244,plain,
relation_non_empty(set_union2(set_union2(esk13_0,esk13_0),set_union2(esk13_0,esk13_0))),
inference(scs_inference,[],[i_0_81,i_0_169,i_0_163,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_213,i_0_239,i_0_241,i_0_243,i_0_176,i_0_234,i_0_104,i_0_155,i_0_157,i_0_178,i_0_179,i_0_96,i_0_99,i_0_127,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_132,i_0_89,i_0_91,i_0_139,i_0_140,i_0_141,i_0_142,i_0_145,i_0_146,i_0_147]) ).
cnf(i_0_245,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_246,plain,
relation_empty_yielding(set_union2(esk11_0,esk11_0)),
inference(scs_inference,[],[i_0_81,i_0_169,i_0_163,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_213,i_0_239,i_0_241,i_0_243,i_0_245,i_0_176,i_0_234,i_0_104,i_0_155,i_0_157,i_0_178,i_0_179,i_0_96,i_0_99,i_0_107,i_0_127,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_132,i_0_89,i_0_91,i_0_139,i_0_140,i_0_141,i_0_142,i_0_145,i_0_146,i_0_147,i_0_148]) ).
cnf(i_0_247,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_248,plain,
set_union2(set_union2(X1,empty_set),set_union2(X1,empty_set)) = set_union2(X1,X1),
inference(scs_inference,[],[i_0_81,i_0_169,i_0_163,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_213,i_0_239,i_0_241,i_0_243,i_0_245,i_0_247,i_0_176,i_0_234,i_0_236,i_0_104,i_0_155,i_0_157,i_0_178,i_0_179,i_0_96,i_0_99,i_0_107,i_0_127,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_132,i_0_89,i_0_91,i_0_139,i_0_140,i_0_141,i_0_142,i_0_145,i_0_146,i_0_147,i_0_148,i_0_133]) ).
cnf(i_0_249,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_250,plain,
one_to_one(esk6_0),
inference(scs_inference,[],[i_0_81,i_0_169,i_0_163,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_213,i_0_239,i_0_241,i_0_243,i_0_245,i_0_247,i_0_176,i_0_234,i_0_236,i_0_104,i_0_155,i_0_157,i_0_178,i_0_179,i_0_96,i_0_99,i_0_107,i_0_127,i_0_126,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_132,i_0_89,i_0_91,i_0_139,i_0_140,i_0_141,i_0_142,i_0_145,i_0_146,i_0_147,i_0_148,i_0_133,i_0_95]) ).
cnf(i_0_251,plain,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| one_to_one(X1) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_252,plain,
~ in(esk14_0,set_union2(esk14_0,empty_set)),
inference(scs_inference,[],[i_0_81,i_0_169,i_0_163,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_213,i_0_239,i_0_241,i_0_243,i_0_245,i_0_247,i_0_176,i_0_234,i_0_236,i_0_104,i_0_155,i_0_157,i_0_178,i_0_179,i_0_96,i_0_99,i_0_107,i_0_127,i_0_126,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_132,i_0_89,i_0_91,i_0_139,i_0_140,i_0_141,i_0_142,i_0_145,i_0_146,i_0_147,i_0_148,i_0_133,i_0_95,i_0_82]) ).
cnf(i_0_253,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_254,plain,
( in(set_union2(X1,X1),singleton(X1))
| in(set_union2(X1,X1),empty_set) ),
inference(scs_inference,[],[i_0_81,i_0_169,i_0_163,i_0_181,i_0_159,i_0_205,i_0_207,i_0_209,i_0_211,i_0_213,i_0_239,i_0_241,i_0_243,i_0_245,i_0_247,i_0_176,i_0_234,i_0_236,i_0_104,i_0_155,i_0_157,i_0_178,i_0_179,i_0_96,i_0_99,i_0_107,i_0_127,i_0_126,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_132,i_0_89,i_0_91,i_0_139,i_0_140,i_0_141,i_0_142,i_0_145,i_0_146,i_0_147,i_0_148,i_0_133,i_0_95,i_0_82,i_0_149]) ).
cnf(i_0_255,plain,
( ~ in(X1,set_union2(X2,X3))
| in(X1,X2)
| in(X1,X3) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_256,plain,
in(esk3_1(esk9_0),set_union2(set_union2(X1,esk9_0),X2)),
inference(scs_inference,[],[i_0_183,i_0_150]) ).
cnf(i_0_257,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_258,plain,
in(esk3_1(esk9_0),set_union2(X1,set_union2(X2,esk9_0))),
inference(scs_inference,[],[i_0_183,i_0_150,i_0_151]) ).
cnf(i_0_259,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_151]) ).
cnf(i_0_260,plain,
~ in(set_union2(set_union2(esk9_0,X1),X2),esk3_1(esk9_0)),
inference(scs_inference,[],[i_0_214,i_0_183,i_0_150,i_0_151,i_0_87]) ).
cnf(i_0_261,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_262,plain,
element(esk3_1(esk9_0),set_union2(set_union2(esk9_0,X1),X2)),
inference(scs_inference,[],[i_0_214,i_0_183,i_0_150,i_0_151,i_0_87,i_0_90]) ).
cnf(i_0_263,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_264,plain,
~ in(X1,empty_set),
inference(scs_inference,[],[i_0_214,i_0_183,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92]) ).
cnf(i_0_265,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_266,plain,
function(empty_set),
inference(scs_inference,[],[i_0_214,i_0_183,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101]) ).
cnf(i_0_267,plain,
( ~ empty(X1)
| function(X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_268,plain,
relation(set_union2(set_union2(esk13_0,empty_set),set_union2(esk13_0,empty_set))),
inference(scs_inference,[],[i_0_214,i_0_183,i_0_226,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194]) ).
cnf(i_0_269,plain,
X1 = set_union2(set_union2(X1,empty_set),set_union2(X1,empty_set)),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_270,plain,
one_to_one(set_union2(set_union2(esk10_0,empty_set),set_union2(esk10_0,empty_set))),
inference(scs_inference,[],[i_0_214,i_0_183,i_0_226,i_0_269,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195]) ).
cnf(i_0_271,plain,
X1 = set_union2(set_union2(X1,empty_set),set_union2(X1,empty_set)),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_272,plain,
function(set_union2(set_union2(esk13_0,empty_set),set_union2(esk13_0,empty_set))),
inference(scs_inference,[],[i_0_214,i_0_183,i_0_226,i_0_269,i_0_271,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196]) ).
cnf(i_0_273,plain,
X1 = set_union2(set_union2(X1,empty_set),set_union2(X1,empty_set)),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_274,plain,
relation_non_empty(set_union2(set_union2(esk13_0,empty_set),set_union2(esk13_0,empty_set))),
inference(scs_inference,[],[i_0_214,i_0_183,i_0_226,i_0_269,i_0_271,i_0_273,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196,i_0_197]) ).
cnf(i_0_275,plain,
X1 = set_union2(set_union2(X1,empty_set),set_union2(X1,empty_set)),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_276,plain,
relation_empty_yielding(set_union2(set_union2(esk12_0,empty_set),set_union2(esk12_0,empty_set))),
inference(scs_inference,[],[i_0_214,i_0_183,i_0_226,i_0_269,i_0_271,i_0_273,i_0_275,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198]) ).
cnf(i_0_277,plain,
X1 = set_union2(set_union2(X1,empty_set),set_union2(X1,empty_set)),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_278,plain,
set_union2(X1,X1) = set_union2(set_union2(X1,empty_set),set_union2(X1,empty_set)),
inference(scs_inference,[],[i_0_214,i_0_183,i_0_248,i_0_226,i_0_269,i_0_271,i_0_273,i_0_275,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_132]) ).
cnf(i_0_279,plain,
~ in(X1,set_union2(esk7_0,empty_set)),
inference(scs_inference,[],[i_0_174,i_0_214,i_0_183,i_0_248,i_0_226,i_0_269,i_0_271,i_0_273,i_0_275,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_132,i_0_83]) ).
cnf(i_0_280,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X3) ),
inference(rename_variables,[],[i_0_83]) ).
cnf(i_0_281,plain,
~ in(esk5_0,set_union2(singleton(esk8_0),singleton(esk8_0))),
inference(scs_inference,[],[i_0_174,i_0_214,i_0_183,i_0_98,i_0_248,i_0_226,i_0_269,i_0_271,i_0_273,i_0_275,i_0_237,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_132,i_0_83,i_0_91]) ).
cnf(i_0_282,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_283,plain,
( X1 != singleton(X2)
| X3 = X2
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_91]) ).
cnf(i_0_284,plain,
in(set_union2(X1,X1),singleton(X1)),
inference(scs_inference,[],[i_0_174,i_0_214,i_0_183,i_0_169,i_0_98,i_0_248,i_0_226,i_0_269,i_0_271,i_0_273,i_0_275,i_0_237,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_132,i_0_83,i_0_91,i_0_149]) ).
cnf(i_0_285,plain,
( ~ in(X1,set_union2(X2,X3))
| in(X1,X2)
| in(X1,X3) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_286,plain,
~ in(set_union2(esk14_0,esk14_0),set_union2(esk14_0,empty_set)),
inference(scs_inference,[],[i_0_252,i_0_174,i_0_214,i_0_183,i_0_169,i_0_98,i_0_282,i_0_248,i_0_226,i_0_269,i_0_271,i_0_273,i_0_275,i_0_237,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_132,i_0_83,i_0_91,i_0_149,i_0_139]) ).
cnf(i_0_287,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_288,plain,
~ in(esk14_0,set_union2(singleton(esk14_0),esk14_0)),
inference(scs_inference,[],[i_0_81,i_0_252,i_0_174,i_0_214,i_0_183,i_0_169,i_0_93,i_0_98,i_0_282,i_0_248,i_0_226,i_0_269,i_0_271,i_0_273,i_0_275,i_0_237,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_132,i_0_83,i_0_91,i_0_149,i_0_139,i_0_140]) ).
cnf(i_0_289,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(rename_variables,[],[i_0_93]) ).
cnf(i_0_290,plain,
empty_set != set_union2(X1,singleton(X1)),
inference(scs_inference,[],[i_0_81,i_0_252,i_0_174,i_0_214,i_0_183,i_0_169,i_0_93,i_0_98,i_0_282,i_0_248,i_0_226,i_0_269,i_0_271,i_0_273,i_0_275,i_0_237,i_0_80,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_132,i_0_83,i_0_91,i_0_149,i_0_139,i_0_140,i_0_141]) ).
cnf(i_0_291,plain,
relation(set_union2(set_union2(esk6_0,empty_set),set_union2(esk6_0,empty_set))),
inference(scs_inference,[],[i_0_81,i_0_252,i_0_174,i_0_214,i_0_183,i_0_169,i_0_93,i_0_98,i_0_282,i_0_248,i_0_226,i_0_269,i_0_271,i_0_273,i_0_275,i_0_277,i_0_237,i_0_80,i_0_155,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_132,i_0_83,i_0_91,i_0_149,i_0_139,i_0_140,i_0_141,i_0_142]) ).
cnf(i_0_292,plain,
X1 = set_union2(set_union2(X1,empty_set),set_union2(X1,empty_set)),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_293,plain,
one_to_one(set_union2(set_union2(esk6_0,empty_set),set_union2(esk6_0,empty_set))),
inference(scs_inference,[],[i_0_81,i_0_252,i_0_174,i_0_214,i_0_183,i_0_169,i_0_93,i_0_98,i_0_282,i_0_248,i_0_226,i_0_269,i_0_271,i_0_273,i_0_275,i_0_277,i_0_292,i_0_237,i_0_250,i_0_80,i_0_155,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_132,i_0_83,i_0_91,i_0_149,i_0_139,i_0_140,i_0_141,i_0_142,i_0_145]) ).
cnf(i_0_294,plain,
X1 = set_union2(set_union2(X1,empty_set),set_union2(X1,empty_set)),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_295,plain,
function(set_union2(set_union2(esk5_0,empty_set),set_union2(esk5_0,empty_set))),
inference(scs_inference,[],[i_0_81,i_0_252,i_0_174,i_0_214,i_0_183,i_0_169,i_0_93,i_0_98,i_0_282,i_0_248,i_0_226,i_0_269,i_0_271,i_0_273,i_0_275,i_0_277,i_0_292,i_0_294,i_0_224,i_0_237,i_0_250,i_0_80,i_0_155,i_0_130,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_132,i_0_83,i_0_91,i_0_149,i_0_139,i_0_140,i_0_141,i_0_142,i_0_145,i_0_146]) ).
cnf(i_0_296,plain,
X1 = set_union2(set_union2(X1,empty_set),set_union2(X1,empty_set)),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_297,plain,
relation_empty_yielding(set_union2(set_union2(empty_set,empty_set),set_union2(empty_set,empty_set))),
inference(scs_inference,[],[i_0_81,i_0_252,i_0_174,i_0_214,i_0_183,i_0_169,i_0_93,i_0_98,i_0_282,i_0_248,i_0_226,i_0_269,i_0_271,i_0_273,i_0_275,i_0_277,i_0_292,i_0_294,i_0_296,i_0_224,i_0_237,i_0_250,i_0_80,i_0_155,i_0_130,i_0_108,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_132,i_0_83,i_0_91,i_0_149,i_0_139,i_0_140,i_0_141,i_0_142,i_0_145,i_0_146,i_0_148]) ).
cnf(i_0_298,plain,
X1 = set_union2(set_union2(X1,empty_set),set_union2(X1,empty_set)),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_299,plain,
empty_set != set_union2(singleton(X1),X1),
inference(scs_inference,[],[i_0_81,i_0_252,i_0_174,i_0_214,i_0_183,i_0_169,i_0_93,i_0_289,i_0_98,i_0_282,i_0_248,i_0_226,i_0_269,i_0_271,i_0_273,i_0_275,i_0_277,i_0_292,i_0_294,i_0_296,i_0_224,i_0_237,i_0_250,i_0_80,i_0_155,i_0_130,i_0_108,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_132,i_0_83,i_0_91,i_0_149,i_0_139,i_0_140,i_0_141,i_0_142,i_0_145,i_0_146,i_0_148,i_0_133]) ).
cnf(i_0_300,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(rename_variables,[],[i_0_93]) ).
cnf(i_0_301,plain,
~ in(X1,set_union2(set_union2(esk7_0,empty_set),set_union2(esk7_0,empty_set))),
inference(scs_inference,[],[i_0_81,i_0_252,i_0_174,i_0_214,i_0_183,i_0_169,i_0_93,i_0_289,i_0_98,i_0_282,i_0_248,i_0_226,i_0_269,i_0_271,i_0_273,i_0_275,i_0_277,i_0_292,i_0_294,i_0_296,i_0_153,i_0_224,i_0_237,i_0_250,i_0_80,i_0_155,i_0_130,i_0_108,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_132,i_0_83,i_0_91,i_0_149,i_0_139,i_0_140,i_0_141,i_0_142,i_0_145,i_0_146,i_0_148,i_0_133,i_0_79]) ).
cnf(i_0_302,plain,
set_union2(set_union2(X1,empty_set),set_union2(X1,empty_set)) = set_union2(X1,X1),
inference(rename_variables,[],[i_0_248]) ).
cnf(i_0_303,plain,
( X1 != set_union2(X2,X3)
| in(X4,X2)
| in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_304,plain,
one_to_one(esk5_0),
inference(scs_inference,[],[i_0_81,i_0_252,i_0_174,i_0_214,i_0_183,i_0_169,i_0_93,i_0_289,i_0_98,i_0_282,i_0_248,i_0_226,i_0_269,i_0_271,i_0_273,i_0_275,i_0_277,i_0_292,i_0_294,i_0_296,i_0_153,i_0_224,i_0_237,i_0_250,i_0_80,i_0_155,i_0_130,i_0_127,i_0_108,i_0_116,i_0_150,i_0_151,i_0_87,i_0_90,i_0_92,i_0_101,i_0_194,i_0_195,i_0_196,i_0_197,i_0_198,i_0_132,i_0_83,i_0_91,i_0_149,i_0_139,i_0_140,i_0_141,i_0_142,i_0_145,i_0_146,i_0_148,i_0_133,i_0_79,i_0_95]) ).
cnf(i_0_305,plain,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| one_to_one(X1) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_306,plain,
element(set_union2(X1,X1),singleton(X1)),
inference(scs_inference,[],[i_0_284,i_0_90]) ).
cnf(i_0_307,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_308,plain,
~ in(X1,esk6_0),
inference(scs_inference,[],[i_0_284,i_0_126,i_0_90,i_0_92]) ).
cnf(i_0_309,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_310,plain,
in(set_union2(X1,X1),set_union2(singleton(X1),X2)),
inference(scs_inference,[],[i_0_284,i_0_126,i_0_90,i_0_92,i_0_150]) ).
cnf(i_0_311,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_312,plain,
$false,
inference(scs_inference,[],[i_0_284,i_0_172,i_0_126,i_0_90,i_0_92,i_0_150,i_0_151]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU230+3 : TPTP v9.2.1. Released v3.2.0.
% 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
% 0.15/0.33 % Computer : n011.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 02:50:02 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.31/1.61 % Version : CSE_E---1.7
% 0.31/1.61 % Problem : theBenchmark.p
% 0.31/1.61 % SZS status Theorem for theBenchmark.p
% 0.31/1.61 % SZS output start CNFRefutation
% See solution above
% 0.91/2.21 % Total time : 1.270s
%------------------------------------------------------------------------------