%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU235+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n022.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 05:11:11 PM UTC 2026
% Result : Theorem 191.79s 97.74s
% Output : CNFRefutation 195.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_261)
% Comments :
%------------------------------------------------------------------------------
fof(t32_ordinal1,conjecture,
! [X1,X2] :
( ordinal(X2)
=> ~ ( subset(X1,X2)
& X1 != empty_set
& ! [X3] :
( ordinal(X3)
=> ~ ( in(X3,X1)
& ! [X4] :
( ordinal(X4)
=> ( in(X4,X1)
=> ordinal_subset(X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_ordinal1) ).
fof(t24_ordinal1,axiom,
! [X1] :
( ordinal(X1)
=> ! [X2] :
( ordinal(X2)
=> ~ ( ~ in(X1,X2)
& X1 != X2
& ~ in(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_ordinal1) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(rc3_ordinal1,axiom,
? [X1] :
( ~ empty(X1)
& epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_ordinal1) ).
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(t7_tarski,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& ! [X3] :
~ ( in(X3,X2)
& ! [X4] :
~ ( in(X4,X2)
& in(X4,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tarski) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(redefinition_r1_ordinal1,axiom,
! [X1,X2] :
( ( ordinal(X1)
& ordinal(X2) )
=> ( ordinal_subset(X1,X2)
<=> subset(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(d2_ordinal1,axiom,
! [X1] :
( epsilon_transitive(X1)
<=> ! [X2] :
( in(X2,X1)
=> subset(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(connectedness_r1_ordinal1,axiom,
! [X1,X2] :
( ( ordinal(X1)
& ordinal(X2) )
=> ( ordinal_subset(X1,X2)
| ordinal_subset(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connectedness_r1_ordinal1) ).
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(t23_ordinal1,axiom,
! [X1,X2] :
( ordinal(X2)
=> ( in(X1,X2)
=> ordinal(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_ordinal1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(reflexivity_r1_ordinal1,axiom,
! [X1,X2] :
( ( ordinal(X1)
& ordinal(X2) )
=> ordinal_subset(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_ordinal1) ).
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(cc2_ordinal1,axiom,
! [X1] :
( ( epsilon_transitive(X1)
& epsilon_connected(X1) )
=> ordinal(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_ordinal1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(cc1_relat_1,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(cc1_ordinal1,axiom,
! [X1] :
( ordinal(X1)
=> ( epsilon_transitive(X1)
& epsilon_connected(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_ordinal1) ).
fof(cc3_ordinal1,axiom,
! [X1] :
( empty(X1)
=> ( epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_ordinal1) ).
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(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_ordinal1,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1)
& empty(X1)
& epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_ordinal1) ).
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_ordinal1,axiom,
? [X1] :
( epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_ordinal1) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(fc2_ordinal1,axiom,
( relation(empty_set)
& relation_empty_yielding(empty_set)
& function(empty_set)
& one_to_one(empty_set)
& empty(empty_set)
& epsilon_transitive(empty_set)
& epsilon_connected(empty_set)
& ordinal(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_ordinal1) ).
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_41,negated_conjecture,
~ ! [X1,X2] :
( ordinal(X2)
=> ~ ( subset(X1,X2)
& X1 != empty_set
& ! [X3] :
( ordinal(X3)
=> ~ ( in(X3,X1)
& ! [X4] :
( ordinal(X4)
=> ( in(X4,X1)
=> ordinal_subset(X3,X4) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t32_ordinal1]) ).
fof(i_0_42,plain,
! [X1] :
( ordinal(X1)
=> ! [X2] :
( ordinal(X2)
=> ~ ( ~ in(X1,X2)
& X1 != X2
& ~ in(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t24_ordinal1]) ).
fof(i_0_43,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_44,plain,
? [X1] :
( ~ empty(X1)
& epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ),
inference(fof_simplification,[status(thm)],[rc3_ordinal1]) ).
fof(i_0_45,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_46,plain,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
inference(fof_simplification,[status(thm)],[rc2_relat_1]) ).
fof(i_0_47,plain,
! [X122,X123,X125] :
( ( in(esk18_2(X122,X123),X123)
| ~ in(X122,X123) )
& ( ~ in(X125,X123)
| ~ in(X125,esk18_2(X122,X123))
| ~ in(X122,X123) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_tarski])])])])]) ).
fof(i_0_48,plain,
! [X113,X114,X115] :
( ~ in(X113,X114)
| ~ element(X114,powerset(X115))
| element(X113,X115) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_49,plain,
! [X116,X117,X118] :
( ~ in(X116,X117)
| ~ element(X117,powerset(X118))
| ~ empty(X118) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_50,negated_conjecture,
! [X109] :
( ordinal(esk16_0)
& subset(esk15_0,esk16_0)
& esk15_0 != empty_set
& ( ordinal(esk17_1(X109))
| ~ in(X109,esk15_0)
| ~ ordinal(X109) )
& ( in(esk17_1(X109),esk15_0)
| ~ in(X109,esk15_0)
| ~ ordinal(X109) )
& ( ~ ordinal_subset(X109,esk17_1(X109))
| ~ in(X109,esk15_0)
| ~ ordinal(X109) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_41])])])])]) ).
fof(i_0_51,plain,
! [X94,X95] :
( ( ~ ordinal_subset(X94,X95)
| subset(X94,X95)
| ~ ordinal(X94)
| ~ ordinal(X95) )
& ( ~ subset(X94,X95)
| ordinal_subset(X94,X95)
| ~ ordinal(X94)
| ~ ordinal(X95) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_ordinal1])])]) ).
fof(i_0_52,plain,
! [X111,X112] :
( ( ~ element(X111,powerset(X112))
| subset(X111,X112) )
& ( ~ subset(X111,X112)
| element(X111,powerset(X112)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_53,plain,
! [X103,X104] :
( ~ ordinal(X103)
| ~ ordinal(X104)
| in(X103,X104)
| X103 = X104
| in(X104,X103) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_42])])]) ).
fof(i_0_54,plain,
! [X66,X67] :
( ~ in(X66,X67)
| ~ in(X67,X66) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_43])]) ).
fof(i_0_55,plain,
! [X76,X77,X78] :
( ( ~ epsilon_transitive(X76)
| ~ in(X77,X76)
| subset(X77,X76) )
& ( in(esk1_1(X78),X78)
| epsilon_transitive(X78) )
& ( ~ subset(esk1_1(X78),X78)
| epsilon_transitive(X78) ) ),
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_ordinal1])])])])])]) ).
fof(i_0_56,plain,
! [X74,X75] :
( ~ ordinal(X74)
| ~ ordinal(X75)
| ordinal_subset(X74,X75)
| ordinal_subset(X75,X74) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connectedness_r1_ordinal1])]) ).
fof(i_0_57,plain,
! [X105,X106] :
( ~ element(X105,X106)
| empty(X106)
| in(X105,X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_58,plain,
! [X99,X100] :
( ~ in(X99,X100)
| element(X99,X100) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_59,plain,
! [X101,X102] :
( ~ ordinal(X102)
| ~ in(X101,X102)
| ordinal(X101) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_ordinal1])]) ).
fof(i_0_60,plain,
! [X120,X121] :
( ~ in(X120,X121)
| ~ empty(X121) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_61,plain,
! [X96,X97] :
( ~ ordinal(X96)
| ~ ordinal(X97)
| ordinal_subset(X96,X96) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_r1_ordinal1])]) ).
fof(i_0_62,plain,
! [X71] :
( ( relation(X71)
| ~ relation(X71)
| ~ empty(X71)
| ~ function(X71) )
& ( function(X71)
| ~ relation(X71)
| ~ empty(X71)
| ~ function(X71) )
& ( one_to_one(X71)
| ~ relation(X71)
| ~ empty(X71)
| ~ function(X71) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_funct_1])])]) ).
fof(i_0_63,plain,
! [X80] : element(esk2_1(X80),X80),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_64,plain,
! [X72] :
( ~ epsilon_transitive(X72)
| ~ epsilon_connected(X72)
| ordinal(X72) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_ordinal1])]) ).
fof(i_0_65,plain,
! [X126,X127] :
( ~ empty(X126)
| X126 = X127
| ~ empty(X127) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_66,plain,
! [X98] : subset(X98,X98),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_67,plain,
! [X70] :
( ~ empty(X70)
| relation(X70) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
fof(i_0_68,plain,
! [X69] :
( ( epsilon_transitive(X69)
| ~ ordinal(X69) )
& ( epsilon_connected(X69)
| ~ ordinal(X69) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_ordinal1])])]) ).
fof(i_0_69,plain,
! [X73] :
( ( epsilon_transitive(X73)
| ~ empty(X73) )
& ( epsilon_connected(X73)
| ~ empty(X73) )
& ( ordinal(X73)
| ~ empty(X73) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_ordinal1])])]) ).
fof(i_0_70,plain,
! [X68] :
( ~ empty(X68)
| function(X68) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])]) ).
fof(i_0_71,plain,
! [X119] :
( ~ empty(X119)
| X119 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_72,plain,
( ~ empty(esk12_0)
& epsilon_transitive(esk12_0)
& epsilon_connected(esk12_0)
& ordinal(esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_44])]) ).
fof(i_0_73,plain,
~ empty(esk10_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_45])]) ).
fof(i_0_74,plain,
( ~ empty(esk9_0)
& relation(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_46])]) ).
fof(i_0_75,plain,
( relation(esk14_0)
& relation_empty_yielding(esk14_0)
& function(esk14_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc4_funct_1])]) ).
fof(i_0_76,plain,
( relation(esk13_0)
& relation_empty_yielding(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_relat_1])]) ).
fof(i_0_77,plain,
( relation(esk11_0)
& function(esk11_0)
& one_to_one(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_funct_1])]) ).
fof(i_0_78,plain,
( relation(esk8_0)
& function(esk8_0)
& one_to_one(esk8_0)
& empty(esk8_0)
& epsilon_transitive(esk8_0)
& epsilon_connected(esk8_0)
& ordinal(esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_ordinal1])]) ).
fof(i_0_79,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_80,plain,
( empty(esk5_0)
& relation(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
fof(i_0_81,plain,
( relation(esk3_0)
& function(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_1])]) ).
fof(i_0_82,plain,
( epsilon_transitive(esk4_0)
& epsilon_connected(esk4_0)
& ordinal(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_ordinal1])]) ).
fof(i_0_83,plain,
empty(esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_84,plain,
( ~ in(X1,X2)
| ~ in(X1,esk18_2(X3,X2))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_85,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_86,plain,
( in(esk18_2(X1,X2),X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_87,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_88,negated_conjecture,
( ~ ordinal_subset(X1,esk17_1(X1))
| ~ in(X1,esk15_0)
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_89,plain,
( subset(X1,X2)
| ~ ordinal_subset(X1,X2)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_90,plain,
( ordinal_subset(X1,X2)
| ~ subset(X1,X2)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_91,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_92,negated_conjecture,
( in(esk17_1(X1),esk15_0)
| ~ in(X1,esk15_0)
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_93,plain,
( in(X1,X2)
| X1 = X2
| in(X2,X1)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_94,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_95,plain,
( subset(X2,X1)
| ~ epsilon_transitive(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_96,plain,
( ordinal_subset(X1,X2)
| ordinal_subset(X2,X1)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_97,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_98,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_99,negated_conjecture,
( ordinal(esk17_1(X1))
| ~ in(X1,esk15_0)
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_100,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_101,plain,
( epsilon_transitive(X1)
| ~ subset(esk1_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_102,plain,
( ordinal(X2)
| ~ ordinal(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_103,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_104,plain,
( ordinal_subset(X1,X1)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_105,plain,
( one_to_one(X1)
| ~ relation(X1)
| ~ empty(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_106,plain,
( in(esk1_1(X1),X1)
| epsilon_transitive(X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_107,plain,
element(esk2_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_108,plain,
( ordinal(X1)
| ~ epsilon_transitive(X1)
| ~ epsilon_connected(X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_109,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_110,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_111,plain,
( relation(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_112,plain,
( epsilon_connected(X1)
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_113,plain,
( epsilon_connected(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_114,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_115,plain,
( epsilon_transitive(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_116,plain,
( ordinal(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_117,plain,
( function(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_118,negated_conjecture,
subset(esk15_0,esk16_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_119,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_120,plain,
~ empty(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_121,plain,
~ empty(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_122,plain,
~ empty(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_123,plain,
relation_empty_yielding(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_124,plain,
relation_empty_yielding(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_125,plain,
relation_empty_yielding(empty_set),
inference(split_conjunct,[status(thm)],[fc2_ordinal1]),
[final] ).
cnf(i_0_126,plain,
relation_empty_yielding(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_127,plain,
one_to_one(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_128,plain,
one_to_one(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_129,plain,
one_to_one(empty_set),
inference(split_conjunct,[status(thm)],[fc2_ordinal1]),
[final] ).
cnf(i_0_130,plain,
relation(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_131,plain,
relation(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_132,plain,
relation(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_133,plain,
relation(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_134,plain,
relation(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_135,plain,
relation(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_136,plain,
relation(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_137,plain,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_138,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_139,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc2_ordinal1]),
[final] ).
cnf(i_0_140,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_141,plain,
epsilon_connected(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_142,plain,
epsilon_connected(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_143,plain,
epsilon_connected(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_144,plain,
epsilon_connected(empty_set),
inference(split_conjunct,[status(thm)],[fc2_ordinal1]),
[final] ).
cnf(i_0_145,plain,
epsilon_transitive(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_146,plain,
epsilon_transitive(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_147,plain,
epsilon_transitive(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_148,plain,
epsilon_transitive(empty_set),
inference(split_conjunct,[status(thm)],[fc2_ordinal1]),
[final] ).
cnf(i_0_149,negated_conjecture,
ordinal(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_150,plain,
ordinal(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_151,plain,
ordinal(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_152,plain,
ordinal(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_153,plain,
ordinal(empty_set),
inference(split_conjunct,[status(thm)],[fc2_ordinal1]),
[final] ).
cnf(i_0_154,plain,
function(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_155,plain,
function(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_156,plain,
function(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_157,plain,
function(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_158,plain,
function(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_159,plain,
function(empty_set),
inference(split_conjunct,[status(thm)],[fc2_ordinal1]),
[final] ).
cnf(i_0_160,plain,
empty(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_161,plain,
empty(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_162,plain,
empty(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_163,plain,
empty(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_164,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_165,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc2_ordinal1]),
[final] ).
cnf(i_0_166,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_167,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_168,negated_conjecture,
esk15_0 != empty_set,
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_169,axiom,
X1 = X1 ).
cnf(i_0_170,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_171,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_172,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_173,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_174,axiom,
( X1 != X2
| ~ function(X1)
| function(X2) ) ).
cnf(i_0_175,axiom,
( X1 != X2
| ~ epsilon_connected(X1)
| epsilon_connected(X2) ) ).
cnf(i_0_176,axiom,
( X1 != X2
| ~ relation_empty_yielding(X1)
| relation_empty_yielding(X2) ) ).
cnf(i_0_177,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_178,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_179,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_180,axiom,
( X1 != X2
| ~ ordinal_subset(X1,X3)
| ordinal_subset(X2,X3) ) ).
cnf(i_0_181,axiom,
( X1 != X2
| ~ ordinal_subset(X3,X1)
| ordinal_subset(X3,X2) ) ).
cnf(i_0_182,axiom,
( X1 != X2
| ~ ordinal(X1)
| ordinal(X2) ) ).
cnf(i_0_183,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_184,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_185,axiom,
( X1 != X2
| ~ epsilon_transitive(X1)
| epsilon_transitive(X2) ) ).
cnf(i_0_186,axiom,
( X1 != X2
| ~ one_to_one(X1)
| one_to_one(X2) ) ).
cnf(i_0_187,axiom,
( X1 != X2
| ~ relation(X1)
| relation(X2) ) ).
cnf(i_0_1045,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1053,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1061,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1069,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1077,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1085,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1093,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1101,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1109,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1117,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1125,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1133,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1141,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1149,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1157,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1165,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1173,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1181,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1189,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1197,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1205,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1213,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1221,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1229,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1237,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1245,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1253,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1261,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1269,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1277,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1285,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1293,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1301,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1309,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1317,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1325,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1333,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1341,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1349,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1357,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1365,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1373,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1381,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1389,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1397,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1405,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1413,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1421,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1429,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1437,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1445,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1453,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1461,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1469,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1477,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1485,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1493,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1501,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1509,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1517,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1525,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1533,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1541,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1549,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1557,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1565,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1573,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1581,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1589,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1597,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1605,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1629,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1644,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1652,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1660,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1668,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1676,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1684,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1692,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1700,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1708,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1716,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1724,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1732,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1740,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1748,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1756,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1764,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1772,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1780,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1788,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1796,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1804,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1812,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1820,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1828,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1836,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1844,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1852,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1898,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_247]) ).
cnf(i_0_1913,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1921,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1929,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1937,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1945,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1953,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1961,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1969,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1977,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1985,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_1993,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2001,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2009,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2017,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2025,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2033,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2041,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2049,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2057,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2065,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2073,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2081,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2089,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2097,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2105,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2113,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2143,plain,
~ in(esk9_0,esk2_1(esk9_0)),
inference(equality_inference,[],[2139]) ).
cnf(i_0_2145,plain,
esk10_0 != esk5_0,
inference(scs_inference,[],[i_0_122,i_0_1854,i_0_247,i_0_161,i_0_179,i_0_173]) ).
cnf(i_0_2146,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_247]) ).
cnf(i_0_2174,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_247]) ).
cnf(i_0_2187,plain,
esk10_0 != esk2_1(powerset(esk5_0)),
inference(scs_inference,[],[i_0_1854,i_0_261,i_0_173]) ).
cnf(i_0_2188,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2200,plain,
~ in(esk9_0,esk2_1(esk9_0)),
inference(equality_inference,[],[2197]) ).
cnf(i_0_2201,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2209,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2217,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2225,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2233,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2241,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2249,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2257,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2265,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2273,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2281,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2289,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2297,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2305,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2313,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2321,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2329,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2337,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2345,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2353,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2361,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2369,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2377,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2385,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2393,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2401,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2409,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2417,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2425,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2433,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2441,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2449,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2457,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2465,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2473,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2481,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2489,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2497,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2505,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2513,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2521,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2529,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2537,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2545,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2553,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2561,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_2608,plain,
element(empty_set,esk12_0),
inference(equality_inference,[],[2605]) ).
cnf(i_0_2611,plain,
element(empty_set,powerset(esk8_0)),
inference(scs_inference,[],[i_0_2588,i_0_151,i_0_188,i_0_97]) ).
cnf(i_0_2613,plain,
esk7_0 = empty_set,
inference(scs_inference,[],[i_0_2588,i_0_151,i_0_161,i_0_188,i_0_97,i_0_119]) ).
cnf(i_0_2615,plain,
in(esk18_2(esk7_0,esk12_0),esk12_0),
inference(scs_inference,[],[i_0_2588,i_0_1621,i_0_151,i_0_161,i_0_188,i_0_97,i_0_119,i_0_86]) ).
cnf(i_0_2617,plain,
esk12_0 != esk7_0,
inference(scs_inference,[],[i_0_2588,i_0_1620,i_0_1621,i_0_151,i_0_161,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170]) ).
cnf(i_0_2618,plain,
~ in(esk12_0,esk18_2(esk7_0,esk12_0)),
inference(scs_inference,[],[i_0_2588,i_0_1620,i_0_1621,i_0_151,i_0_161,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94]) ).
cnf(i_0_2620,plain,
~ in(esk7_0,esk18_2(esk7_0,esk12_0)),
inference(scs_inference,[],[i_0_2588,i_0_1620,i_0_1621,i_0_151,i_0_161,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94,i_0_84]) ).
cnf(i_0_2622,plain,
ordinal_subset(esk8_0,empty_set),
inference(scs_inference,[],[i_0_2580,i_0_2588,i_0_1620,i_0_1621,i_0_151,i_0_161,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94,i_0_84,i_0_181]) ).
cnf(i_0_2623,plain,
~ element(esk12_0,powerset(esk7_0)),
inference(scs_inference,[],[i_0_2580,i_0_2588,i_0_2582,i_0_1620,i_0_1621,i_0_151,i_0_161,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94,i_0_84,i_0_181,i_0_87]) ).
cnf(i_0_2625,plain,
ordinal_subset(empty_set,esk8_0),
inference(scs_inference,[],[i_0_2580,i_0_2588,i_0_2582,i_0_1620,i_0_1621,i_0_151,i_0_161,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94,i_0_84,i_0_181,i_0_87,i_0_180]) ).
cnf(i_0_2626,plain,
ordinal_subset(esk5_0,esk5_0),
inference(scs_inference,[],[i_0_2580,i_0_2588,i_0_2582,i_0_1620,i_0_1621,i_0_110,i_0_151,i_0_251,i_0_161,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94,i_0_84,i_0_181,i_0_87,i_0_180,i_0_90]) ).
cnf(i_0_2629,plain,
~ in(esk12_0,powerset(esk7_0)),
inference(scs_inference,[],[i_0_2580,i_0_2588,i_0_2582,i_0_1620,i_0_1621,i_0_110,i_0_151,i_0_251,i_0_161,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94,i_0_84,i_0_181,i_0_87,i_0_180,i_0_90,i_0_100]) ).
cnf(i_0_2633,plain,
element(esk2_1(esk15_0),esk16_0),
inference(scs_inference,[],[i_0_2580,i_0_2588,i_0_2578,i_0_2582,i_0_1620,i_0_1621,i_0_110,i_0_152,i_0_151,i_0_251,i_0_161,i_0_264,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94,i_0_84,i_0_181,i_0_87,i_0_180,i_0_90,i_0_100,i_0_99,i_0_85]) ).
cnf(i_0_2653,plain,
element(empty_set,powerset(esk12_0)),
inference(scs_inference,[],[i_0_2596,i_0_198,i_0_188,i_0_97]) ).
cnf(i_0_2655,plain,
esk5_0 = empty_set,
inference(scs_inference,[],[i_0_2596,i_0_198,i_0_163,i_0_188,i_0_97,i_0_119]) ).
cnf(i_0_2657,plain,
in(esk18_2(esk6_0,esk12_0),esk12_0),
inference(scs_inference,[],[i_0_2596,i_0_1632,i_0_198,i_0_163,i_0_188,i_0_97,i_0_119,i_0_86]) ).
cnf(i_0_2659,plain,
esk12_0 != esk6_0,
inference(scs_inference,[],[i_0_2596,i_0_1631,i_0_1632,i_0_198,i_0_163,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170]) ).
cnf(i_0_2660,plain,
~ in(esk12_0,esk18_2(esk6_0,esk12_0)),
inference(scs_inference,[],[i_0_2596,i_0_1631,i_0_1632,i_0_198,i_0_163,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94]) ).
cnf(i_0_2662,plain,
~ in(esk6_0,esk18_2(esk6_0,esk12_0)),
inference(scs_inference,[],[i_0_2596,i_0_1631,i_0_1632,i_0_198,i_0_163,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94,i_0_84]) ).
cnf(i_0_2813,plain,
element(esk8_0,powerset(empty_set)),
inference(scs_inference,[],[i_0_2590,i_0_97]) ).
cnf(i_0_2870,plain,
element(esk18_2(empty_set,esk12_0),esk12_0),
inference(scs_inference,[],[i_0_2582,i_0_110,i_0_97,i_0_100]) ).
cnf(i_0_3146,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_247]) ).
cnf(i_0_3329,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_247]) ).
cnf(i_0_310,plain,
~ in(esk15_0,esk2_1(esk15_0)),
inference(equality_inference,[],[307]) ).
cnf(i_0_311,plain,
ordinal(esk4_0),
inference(equality_inference,[],[308]) ).
cnf(i_0_312,plain,
function(esk11_0),
inference(equality_inference,[],[309]) ).
cnf(i_0_318,plain,
in(esk5_0,esk12_0),
inference(scs_inference,[],[i_0_213,i_0_247,i_0_316,i_0_251,i_0_150,i_0_200,i_0_160,i_0_161,i_0_103,i_0_173,i_0_179,i_0_93]) ).
cnf(i_0_321,plain,
element(esk5_0,esk12_0),
inference(scs_inference,[],[i_0_213,i_0_247,i_0_316,i_0_251,i_0_150,i_0_200,i_0_160,i_0_161,i_0_103,i_0_173,i_0_179,i_0_93,i_0_100]) ).
cnf(i_0_342,plain,
relation_empty_yielding(esk13_0),
inference(equality_inference,[],[335]) ).
cnf(i_0_343,plain,
epsilon_transitive(esk16_0),
inference(equality_inference,[],[336]) ).
cnf(i_0_344,plain,
one_to_one(esk8_0),
inference(equality_inference,[],[337]) ).
cnf(i_0_345,plain,
relation(esk8_0),
inference(equality_inference,[],[338]) ).
cnf(i_0_346,plain,
ordinal(empty_set),
inference(equality_inference,[],[341]) ).
cnf(i_0_356,plain,
function(esk8_0),
inference(equality_inference,[],[350]) ).
cnf(i_0_357,plain,
epsilon_connected(esk2_1(esk12_0)),
inference(equality_inference,[],[351]) ).
cnf(i_0_358,plain,
relation_empty_yielding(empty_set),
inference(equality_inference,[],[352]) ).
cnf(i_0_359,plain,
one_to_one(empty_set),
inference(equality_inference,[],[353]) ).
cnf(i_0_360,plain,
relation(empty_set),
inference(equality_inference,[],[354]) ).
cnf(i_0_361,plain,
epsilon_transitive(esk5_0),
inference(equality_inference,[],[355]) ).
cnf(i_0_374,plain,
ordinal(esk7_0),
inference(equality_inference,[],[364]) ).
cnf(i_0_383,plain,
function(esk3_0),
inference(equality_inference,[],[377]) ).
cnf(i_0_384,plain,
epsilon_connected(esk16_0),
inference(equality_inference,[],[378]) ).
cnf(i_0_385,plain,
relation_empty_yielding(esk14_0),
inference(equality_inference,[],[379]) ).
cnf(i_0_386,plain,
one_to_one(esk7_0),
inference(equality_inference,[],[380]) ).
cnf(i_0_387,plain,
relation(esk7_0),
inference(equality_inference,[],[381]) ).
cnf(i_0_388,plain,
epsilon_transitive(esk2_1(esk12_0)),
inference(equality_inference,[],[382]) ).
cnf(i_0_401,plain,
ordinal(esk8_0),
inference(equality_inference,[],[391]) ).
cnf(i_0_410,plain,
function(empty_set),
inference(equality_inference,[],[404]) ).
cnf(i_0_411,plain,
epsilon_connected(esk8_0),
inference(equality_inference,[],[405]) ).
cnf(i_0_412,plain,
one_to_one(esk5_0),
inference(equality_inference,[],[406]) ).
cnf(i_0_413,plain,
relation(esk5_0),
inference(equality_inference,[],[407]) ).
cnf(i_0_414,plain,
epsilon_transitive(esk2_1(powerset(esk8_0))),
inference(equality_inference,[],[408]) ).
cnf(i_0_415,plain,
ordinal(esk5_0),
inference(equality_inference,[],[409]) ).
cnf(i_0_424,plain,
function(esk5_0),
inference(equality_inference,[],[418]) ).
cnf(i_0_425,plain,
epsilon_connected(esk4_0),
inference(equality_inference,[],[419]) ).
cnf(i_0_460,plain,
epsilon_connected(esk5_0),
inference(equality_inference,[],[454]) ).
cnf(i_0_461,plain,
relation(esk9_0),
inference(equality_inference,[],[455]) ).
cnf(i_0_462,plain,
epsilon_transitive(esk4_0),
inference(equality_inference,[],[456]) ).
cnf(i_0_463,plain,
~ in(esk15_0,esk2_1(esk15_0)),
inference(equality_inference,[],[457]) ).
cnf(i_0_488,plain,
epsilon_transitive(esk6_0),
inference(equality_inference,[],[477]) ).
cnf(i_0_489,plain,
relation(esk14_0),
inference(equality_inference,[],[478]) ).
cnf(i_0_490,plain,
epsilon_connected(esk12_0),
inference(equality_inference,[],[479]) ).
cnf(i_0_2664,plain,
element(esk2_1(esk7_0),empty_set),
inference(scs_inference,[],[i_0_2596,i_0_2613,i_0_1631,i_0_1632,i_0_198,i_0_163,i_0_107,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94,i_0_84,i_0_178]) ).
cnf(i_0_2666,plain,
subset(empty_set,esk7_0),
inference(scs_inference,[],[i_0_2596,i_0_2613,i_0_1631,i_0_1632,i_0_110,i_0_198,i_0_163,i_0_107,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94,i_0_84,i_0_178,i_0_183]) ).
cnf(i_0_2668,plain,
subset(esk7_0,empty_set),
inference(scs_inference,[],[i_0_2596,i_0_2613,i_0_1631,i_0_1632,i_0_110,i_0_2667,i_0_198,i_0_163,i_0_107,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94,i_0_84,i_0_178,i_0_183,i_0_184]) ).
cnf(i_0_2670,plain,
~ element(esk12_0,powerset(esk5_0)),
inference(scs_inference,[],[i_0_2596,i_0_2613,i_0_2615,i_0_1631,i_0_1632,i_0_110,i_0_2667,i_0_198,i_0_163,i_0_107,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94,i_0_84,i_0_178,i_0_183,i_0_184,i_0_87]) ).
cnf(i_0_2672,plain,
ordinal_subset(empty_set,empty_set),
inference(scs_inference,[],[i_0_2596,i_0_2613,i_0_2625,i_0_2615,i_0_1631,i_0_1632,i_0_2580,i_0_110,i_0_2667,i_0_198,i_0_163,i_0_107,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94,i_0_84,i_0_178,i_0_183,i_0_184,i_0_87,i_0_181]) ).
cnf(i_0_2673,plain,
ordinal_subset(empty_set,esk5_0),
inference(scs_inference,[],[i_0_2596,i_0_2613,i_0_2625,i_0_2626,i_0_2615,i_0_1631,i_0_1632,i_0_2580,i_0_110,i_0_2667,i_0_198,i_0_163,i_0_107,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94,i_0_84,i_0_178,i_0_183,i_0_184,i_0_87,i_0_181,i_0_180]) ).
cnf(i_0_2674,plain,
~ in(esk12_0,powerset(esk5_0)),
inference(scs_inference,[],[i_0_2596,i_0_2613,i_0_2625,i_0_2626,i_0_2615,i_0_1631,i_0_1632,i_0_2580,i_0_110,i_0_2667,i_0_198,i_0_163,i_0_107,i_0_188,i_0_97,i_0_119,i_0_86,i_0_170,i_0_94,i_0_84,i_0_178,i_0_183,i_0_184,i_0_87,i_0_181,i_0_180,i_0_100]) ).
cnf(i_0_2815,plain,
element(esk18_2(esk7_0,esk12_0),esk12_0),
inference(scs_inference,[],[i_0_2590,i_0_2615,i_0_97,i_0_100]) ).
cnf(i_0_426,plain,
one_to_one(esk6_0),
inference(equality_inference,[],[420]) ).
cnf(i_0_427,plain,
relation(esk6_0),
inference(equality_inference,[],[421]) ).
cnf(i_0_428,plain,
epsilon_transitive(esk2_1(powerset(empty_set))),
inference(equality_inference,[],[422]) ).
cnf(i_0_429,plain,
ordinal(esk2_1(esk12_0)),
inference(equality_inference,[],[423]) ).
cnf(c_0_2684,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
i_0_97 ).
cnf(c_0_2685,negated_conjecture,
subset(esk15_0,esk16_0),
i_0_118 ).
cnf(c_0_2686,plain,
( X1 = empty_set
| ~ empty(X1) ),
i_0_119 ).
cnf(c_0_2687,plain,
esk5_0 = empty_set,
i_0_2655 ).
cnf(c_0_2688,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_98 ).
cnf(c_0_2689,plain,
element(esk2_1(X1),X1),
i_0_107 ).
cnf(c_0_2690,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
i_0_87 ).
cnf(c_0_2691,negated_conjecture,
element(esk15_0,powerset(esk16_0)),
inference(spm,[status(thm)],[c_0_2684,c_0_2685]) ).
cnf(c_0_2692,plain,
( X1 = esk5_0
| ~ empty(X1) ),
inference(rw,[status(thm)],[c_0_2686,c_0_2687]) ).
cnf(c_0_2693,plain,
( empty(X1)
| in(esk2_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_2688,c_0_2689]) ).
cnf(c_0_2694,negated_conjecture,
esk15_0 != empty_set,
i_0_168 ).
cnf(c_0_2695,plain,
element(esk2_1(esk15_0),esk16_0),
i_0_2633 ).
cnf(c_0_2696,plain,
( ~ empty(esk16_0)
| ~ in(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_2690,c_0_2691]) ).
cnf(c_0_2697,plain,
( X1 = esk5_0
| in(esk2_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_2692,c_0_2693]) ).
cnf(c_0_2698,negated_conjecture,
esk15_0 != esk5_0,
inference(rw,[status(thm)],[c_0_2694,c_0_2687]) ).
cnf(c_0_2699,plain,
( empty(esk16_0)
| in(esk2_1(esk15_0),esk16_0) ),
inference(spm,[status(thm)],[c_0_2688,c_0_2695]) ).
cnf(c_0_2700,plain,
~ empty(esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2696,c_0_2697]),c_0_2698]) ).
cnf(c_0_2701,plain,
( ordinal(X1)
| ~ ordinal(X2)
| ~ in(X1,X2) ),
i_0_102 ).
cnf(c_0_2702,plain,
in(esk2_1(esk15_0),esk16_0),
inference(sr,[status(thm)],[c_0_2699,c_0_2700]) ).
cnf(c_0_2703,negated_conjecture,
ordinal(esk16_0),
i_0_149 ).
cnf(c_0_2704,negated_conjecture,
( in(esk17_1(X1),esk15_0)
| ~ in(X1,esk15_0)
| ~ ordinal(X1) ),
i_0_92 ).
cnf(c_0_2705,plain,
ordinal(esk2_1(esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2701,c_0_2702]),c_0_2703])]) ).
cnf(c_0_2706,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
i_0_103 ).
cnf(c_0_2707,negated_conjecture,
in(esk17_1(esk2_1(esk15_0)),esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2704,c_0_2697]),c_0_2698]),c_0_2705])]) ).
cnf(c_0_2708,plain,
~ empty(esk15_0),
inference(spm,[status(thm)],[c_0_2706,c_0_2707]) ).
cnf(c_0_2709,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_85 ).
cnf(c_0_2710,plain,
( in(esk18_2(X1,X2),X2)
| ~ in(X1,X2) ),
i_0_86 ).
cnf(c_0_2711,plain,
in(esk2_1(esk15_0),esk15_0),
inference(spm,[status(thm)],[c_0_2708,c_0_2693]) ).
cnf(c_0_2712,negated_conjecture,
( element(X1,esk16_0)
| ~ in(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_2709,c_0_2691]) ).
cnf(c_0_2713,plain,
in(esk18_2(esk2_1(esk15_0),esk15_0),esk15_0),
inference(spm,[status(thm)],[c_0_2710,c_0_2711]) ).
cnf(c_0_2714,negated_conjecture,
element(esk18_2(esk2_1(esk15_0),esk15_0),esk16_0),
inference(spm,[status(thm)],[c_0_2712,c_0_2713]) ).
cnf(c_0_2715,plain,
in(esk18_2(esk2_1(esk15_0),esk15_0),esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2688,c_0_2714]),c_0_2700]) ).
cnf(c_0_2716,plain,
( subset(X1,X2)
| ~ epsilon_transitive(X2)
| ~ in(X1,X2) ),
i_0_95 ).
cnf(c_0_2717,plain,
( in(X1,X2)
| X1 = X2
| in(X2,X1)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
i_0_93 ).
cnf(c_0_2718,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
i_0_114 ).
cnf(c_0_2719,plain,
( ~ in(X1,X2)
| ~ in(X1,esk18_2(X3,X2))
| ~ in(X3,X2) ),
i_0_84 ).
cnf(c_0_2720,plain,
ordinal(esk18_2(esk2_1(esk15_0),esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2701,c_0_2715]),c_0_2703])]) ).
cnf(c_0_2721,plain,
empty(esk6_0),
i_0_162 ).
cnf(c_0_2722,negated_conjecture,
( ~ ordinal_subset(X1,esk17_1(X1))
| ~ in(X1,esk15_0)
| ~ ordinal(X1) ),
i_0_88 ).
cnf(c_0_2723,plain,
( X1 = esk5_0
| in(esk18_2(esk2_1(X1),X1),X1) ),
inference(spm,[status(thm)],[c_0_2710,c_0_2697]) ).
cnf(c_0_2724,plain,
( ordinal_subset(X1,X2)
| ~ subset(X1,X2)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
i_0_90 ).
cnf(c_0_2725,plain,
( X1 = X2
| subset(X1,X2)
| in(X2,X1)
| ~ ordinal(X2)
| ~ ordinal(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2716,c_0_2717]),c_0_2718]) ).
cnf(c_0_2726,negated_conjecture,
( ordinal(esk17_1(X1))
| ~ in(X1,esk15_0)
| ~ ordinal(X1) ),
i_0_99 ).
cnf(c_0_2727,plain,
( ~ in(X1,esk18_2(esk2_1(X2),X2))
| ~ in(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2719,c_0_2693]),c_0_2706]) ).
cnf(c_0_2728,negated_conjecture,
in(esk17_1(esk18_2(esk2_1(esk15_0),esk15_0)),esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2704,c_0_2713]),c_0_2720])]) ).
cnf(c_0_2729,plain,
in(esk18_2(esk6_0,esk12_0),esk12_0),
i_0_2657 ).
cnf(c_0_2730,plain,
esk6_0 = esk5_0,
inference(spm,[status(thm)],[c_0_2692,c_0_2721]) ).
cnf(c_0_2731,negated_conjecture,
~ ordinal_subset(esk18_2(esk2_1(esk15_0),esk15_0),esk17_1(esk18_2(esk2_1(esk15_0),esk15_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2722,c_0_2723]),c_0_2720])]),c_0_2698]) ).
cnf(c_0_2732,plain,
( X1 = X2
| ordinal_subset(X1,X2)
| in(X2,X1)
| ~ ordinal(X2)
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_2724,c_0_2725]) ).
cnf(c_0_2733,negated_conjecture,
ordinal(esk17_1(esk18_2(esk2_1(esk15_0),esk15_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2726,c_0_2713]),c_0_2720])]) ).
cnf(c_0_2734,plain,
~ in(esk17_1(esk18_2(esk2_1(esk15_0),esk15_0)),esk18_2(esk2_1(esk15_0),esk15_0)),
inference(spm,[status(thm)],[c_0_2727,c_0_2728]) ).
cnf(c_0_2735,plain,
in(esk18_2(esk5_0,esk12_0),esk12_0),
inference(rw,[status(thm)],[c_0_2729,c_0_2730]) ).
cnf(c_0_2736,plain,
ordinal(esk12_0),
i_0_150 ).
cnf(c_0_2737,negated_conjecture,
esk17_1(esk18_2(esk2_1(esk15_0),esk15_0)) = esk18_2(esk2_1(esk15_0),esk15_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2731,c_0_2732]),c_0_2733]),c_0_2720])]),c_0_2734]) ).
cnf(c_0_2738,plain,
( ordinal_subset(X1,X1)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
i_0_104 ).
cnf(c_0_2739,plain,
ordinal(esk18_2(esk5_0,esk12_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2701,c_0_2735]),c_0_2736])]) ).
cnf(c_0_2740,negated_conjecture,
~ ordinal_subset(esk18_2(esk2_1(esk15_0),esk15_0),esk18_2(esk2_1(esk15_0),esk15_0)),
inference(rw,[status(thm)],[c_0_2731,c_0_2737]) ).
cnf(c_0_2741,plain,
( ordinal_subset(X1,X1)
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_2738,c_0_2739]) ).
cnf(c_0_2742,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2740,c_0_2741]),c_0_2720])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU235+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.12/0.31 % Computer : n022.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue May 5 02:51:36 EDT 2026
% 0.12/0.31 % CPUTime :
% 0.12/0.32 % start to proof: theBenchmark
% 191.79/97.74 % Version : CSE_E---1.7
% 191.79/97.74 % Problem : theBenchmark.p
% 191.79/97.74 % SZS status Theorem for theBenchmark.p
% 191.79/97.74 % SZS output start CNFRefutation
% See solution above
% 195.12/101.08 % Total time : 96.289s
%------------------------------------------------------------------------------