%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU235+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 : n025.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 05:11:12 PM UTC 2026
% Result : Theorem 154.29s 77.83s
% Output : CNFRefutation 157.29s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_267)
% 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(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_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_42,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_43,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_44,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_45,plain,
? [X1] :
( ~ empty(X1)
& epsilon_transitive(X1)
& epsilon_connected(X1)
& ordinal(X1) ),
inference(fof_simplification,[status(thm)],[rc3_ordinal1]) ).
fof(i_0_46,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_47,plain,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
inference(fof_simplification,[status(thm)],[rc2_relat_1]) ).
fof(i_0_48,plain,
! [X124,X125,X127] :
( ( in(esk19_2(X124,X125),X125)
| ~ in(X124,X125) )
& ( ~ in(X127,X125)
| ~ in(X127,esk19_2(X124,X125))
| ~ in(X124,X125) ) ),
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_49,plain,
! [X115,X116,X117] :
( ~ in(X115,X116)
| ~ element(X116,powerset(X117))
| element(X115,X117) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_50,plain,
! [X118,X119,X120] :
( ~ in(X118,X119)
| ~ element(X119,powerset(X120))
| ~ empty(X120) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_51,negated_conjecture,
! [X111] :
( ordinal(esk17_0)
& subset(esk16_0,esk17_0)
& esk16_0 != empty_set
& ( ordinal(esk18_1(X111))
| ~ in(X111,esk16_0)
| ~ ordinal(X111) )
& ( in(esk18_1(X111),esk16_0)
| ~ in(X111,esk16_0)
| ~ ordinal(X111) )
& ( ~ ordinal_subset(X111,esk18_1(X111))
| ~ in(X111,esk16_0)
| ~ ordinal(X111) ) ),
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_42])])])])]) ).
fof(i_0_52,plain,
! [X96,X97] :
( ( ~ ordinal_subset(X96,X97)
| subset(X96,X97)
| ~ ordinal(X96)
| ~ ordinal(X97) )
& ( ~ subset(X96,X97)
| ordinal_subset(X96,X97)
| ~ ordinal(X96)
| ~ ordinal(X97) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_ordinal1])])]) ).
fof(i_0_53,plain,
! [X113,X114] :
( ( ~ element(X113,powerset(X114))
| subset(X113,X114) )
& ( ~ subset(X113,X114)
| element(X113,powerset(X114)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_54,plain,
! [X105,X106] :
( ~ ordinal(X105)
| ~ ordinal(X106)
| in(X105,X106)
| X105 = X106
| in(X106,X105) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_43])])]) ).
fof(i_0_55,plain,
! [X67,X68] :
( ~ in(X67,X68)
| ~ in(X68,X67) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_44])]) ).
fof(i_0_56,plain,
! [X77,X78,X79] :
( ( ~ epsilon_transitive(X77)
| ~ in(X78,X77)
| subset(X78,X77) )
& ( in(esk1_1(X79),X79)
| epsilon_transitive(X79) )
& ( ~ subset(esk1_1(X79),X79)
| epsilon_transitive(X79) ) ),
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_57,plain,
! [X75,X76] :
( ~ ordinal(X75)
| ~ ordinal(X76)
| ordinal_subset(X75,X76)
| ordinal_subset(X76,X75) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connectedness_r1_ordinal1])]) ).
fof(i_0_58,plain,
! [X107,X108] :
( ~ element(X107,X108)
| empty(X108)
| in(X107,X108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_59,plain,
! [X101,X102] :
( ~ in(X101,X102)
| element(X101,X102) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_60,plain,
! [X103,X104] :
( ~ ordinal(X104)
| ~ in(X103,X104)
| ordinal(X103) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_ordinal1])]) ).
fof(i_0_61,plain,
! [X122,X123] :
( ~ in(X122,X123)
| ~ empty(X123) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_62,plain,
! [X98,X99] :
( ~ ordinal(X98)
| ~ ordinal(X99)
| ordinal_subset(X98,X98) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_r1_ordinal1])]) ).
fof(i_0_63,plain,
! [X72] :
( ( relation(X72)
| ~ relation(X72)
| ~ empty(X72)
| ~ function(X72) )
& ( function(X72)
| ~ relation(X72)
| ~ empty(X72)
| ~ function(X72) )
& ( one_to_one(X72)
| ~ relation(X72)
| ~ empty(X72)
| ~ function(X72) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_funct_1])])]) ).
fof(i_0_64,plain,
! [X81] : element(esk2_1(X81),X81),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_65,plain,
! [X73] :
( ~ epsilon_transitive(X73)
| ~ epsilon_connected(X73)
| ordinal(X73) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_ordinal1])]) ).
fof(i_0_66,plain,
! [X128,X129] :
( ~ empty(X128)
| X128 = X129
| ~ empty(X129) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_67,plain,
! [X100] : subset(X100,X100),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_68,plain,
! [X71] :
( ~ empty(X71)
| relation(X71) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
fof(i_0_69,plain,
! [X70] :
( ( epsilon_transitive(X70)
| ~ ordinal(X70) )
& ( epsilon_connected(X70)
| ~ ordinal(X70) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_ordinal1])])]) ).
fof(i_0_70,plain,
! [X74] :
( ( epsilon_transitive(X74)
| ~ empty(X74) )
& ( epsilon_connected(X74)
| ~ empty(X74) )
& ( ordinal(X74)
| ~ empty(X74) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_ordinal1])])]) ).
fof(i_0_71,plain,
! [X69] :
( ~ empty(X69)
| function(X69) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])]) ).
fof(i_0_72,plain,
! [X121] :
( ~ empty(X121)
| X121 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_73,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_45])]) ).
fof(i_0_74,plain,
~ empty(esk10_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_46])]) ).
fof(i_0_75,plain,
( ~ empty(esk9_0)
& relation(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_47])]) ).
fof(i_0_76,plain,
( relation(esk15_0)
& relation_non_empty(esk15_0)
& function(esk15_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc5_funct_1])]) ).
fof(i_0_77,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_78,plain,
( relation(esk13_0)
& relation_empty_yielding(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_relat_1])]) ).
fof(i_0_79,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_80,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_81,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_82,plain,
( empty(esk5_0)
& relation(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
fof(i_0_83,plain,
( relation(esk3_0)
& function(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_1])]) ).
fof(i_0_84,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_85,plain,
empty(esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_86,plain,
( ~ in(X1,X2)
| ~ in(X1,esk19_2(X3,X2))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_87,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_88,plain,
( in(esk19_2(X1,X2),X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_89,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_90,negated_conjecture,
( ~ ordinal_subset(X1,esk18_1(X1))
| ~ in(X1,esk16_0)
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_91,plain,
( subset(X1,X2)
| ~ ordinal_subset(X1,X2)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_92,plain,
( ordinal_subset(X1,X2)
| ~ subset(X1,X2)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_93,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_94,negated_conjecture,
( in(esk18_1(X1),esk16_0)
| ~ in(X1,esk16_0)
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_95,plain,
( in(X1,X2)
| X1 = X2
| in(X2,X1)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_96,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_97,plain,
( subset(X2,X1)
| ~ epsilon_transitive(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_98,plain,
( ordinal_subset(X1,X2)
| ordinal_subset(X2,X1)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_99,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_100,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_101,negated_conjecture,
( ordinal(esk18_1(X1))
| ~ in(X1,esk16_0)
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_102,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_103,plain,
( epsilon_transitive(X1)
| ~ subset(esk1_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_104,plain,
( ordinal(X2)
| ~ ordinal(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_105,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_106,plain,
( ordinal_subset(X1,X1)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_107,plain,
( one_to_one(X1)
| ~ relation(X1)
| ~ empty(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_108,plain,
( in(esk1_1(X1),X1)
| epsilon_transitive(X1) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_109,plain,
element(esk2_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_110,plain,
( ordinal(X1)
| ~ epsilon_transitive(X1)
| ~ epsilon_connected(X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_111,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_112,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_113,plain,
( relation(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_114,plain,
( epsilon_connected(X1)
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_115,plain,
( epsilon_connected(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_116,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_117,plain,
( epsilon_transitive(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_118,plain,
( ordinal(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_119,plain,
( function(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_120,negated_conjecture,
subset(esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_121,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_122,plain,
~ empty(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_123,plain,
~ empty(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_124,plain,
~ empty(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_125,plain,
relation_non_empty(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_126,plain,
relation_empty_yielding(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_127,plain,
relation_empty_yielding(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_128,plain,
relation_empty_yielding(empty_set),
inference(split_conjunct,[status(thm)],[fc2_ordinal1]),
[final] ).
cnf(i_0_129,plain,
relation_empty_yielding(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_130,plain,
one_to_one(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_131,plain,
one_to_one(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_132,plain,
one_to_one(empty_set),
inference(split_conjunct,[status(thm)],[fc2_ordinal1]),
[final] ).
cnf(i_0_133,plain,
relation(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_134,plain,
relation(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_135,plain,
relation(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_136,plain,
relation(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_137,plain,
relation(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_138,plain,
relation(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_139,plain,
relation(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_140,plain,
relation(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_141,plain,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_142,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_143,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc2_ordinal1]),
[final] ).
cnf(i_0_144,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_145,plain,
epsilon_connected(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_146,plain,
epsilon_connected(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_147,plain,
epsilon_connected(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_148,plain,
epsilon_connected(empty_set),
inference(split_conjunct,[status(thm)],[fc2_ordinal1]),
[final] ).
cnf(i_0_149,plain,
epsilon_transitive(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_150,plain,
epsilon_transitive(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_151,plain,
epsilon_transitive(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_152,plain,
epsilon_transitive(empty_set),
inference(split_conjunct,[status(thm)],[fc2_ordinal1]),
[final] ).
cnf(i_0_153,negated_conjecture,
ordinal(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_154,plain,
ordinal(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_155,plain,
ordinal(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_156,plain,
ordinal(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_157,plain,
ordinal(empty_set),
inference(split_conjunct,[status(thm)],[fc2_ordinal1]),
[final] ).
cnf(i_0_158,plain,
function(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_159,plain,
function(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_160,plain,
function(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_161,plain,
function(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_162,plain,
function(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_163,plain,
function(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_164,plain,
function(empty_set),
inference(split_conjunct,[status(thm)],[fc2_ordinal1]),
[final] ).
cnf(i_0_165,plain,
empty(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_166,plain,
empty(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_167,plain,
empty(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_168,plain,
empty(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_169,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_170,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc2_ordinal1]),
[final] ).
cnf(i_0_171,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_172,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_173,negated_conjecture,
esk16_0 != empty_set,
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_174,axiom,
X1 = X1 ).
cnf(i_0_175,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_176,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_177,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_178,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_179,axiom,
( X1 != X2
| ~ function(X1)
| function(X2) ) ).
cnf(i_0_180,axiom,
( X1 != X2
| ~ epsilon_connected(X1)
| epsilon_connected(X2) ) ).
cnf(i_0_181,axiom,
( X1 != X2
| ~ relation_non_empty(X1)
| relation_non_empty(X2) ) ).
cnf(i_0_182,axiom,
( X1 != X2
| ~ relation_empty_yielding(X1)
| relation_empty_yielding(X2) ) ).
cnf(i_0_183,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_184,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_185,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_186,axiom,
( X1 != X2
| ~ ordinal_subset(X1,X3)
| ordinal_subset(X2,X3) ) ).
cnf(i_0_187,axiom,
( X1 != X2
| ~ ordinal_subset(X3,X1)
| ordinal_subset(X3,X2) ) ).
cnf(i_0_188,axiom,
( X1 != X2
| ~ ordinal(X1)
| ordinal(X2) ) ).
cnf(i_0_189,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_190,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_191,axiom,
( X1 != X2
| ~ epsilon_transitive(X1)
| epsilon_transitive(X2) ) ).
cnf(i_0_192,axiom,
( X1 != X2
| ~ one_to_one(X1)
| one_to_one(X2) ) ).
cnf(i_0_193,axiom,
( X1 != X2
| ~ relation(X1)
| relation(X2) ) ).
cnf(i_0_1025,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1031,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1037,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1043,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1049,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1055,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1061,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1067,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1073,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1079,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1085,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1091,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1097,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1103,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1109,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1115,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1121,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1127,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1133,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1139,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1145,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1151,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1157,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1163,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1169,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1175,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1181,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1187,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1193,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1199,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1205,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1211,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1217,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1223,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1229,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1235,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1241,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1247,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1253,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1259,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1265,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1271,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1277,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1283,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1289,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1295,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1301,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1307,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1313,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1319,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1325,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1331,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1337,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1343,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1349,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1355,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1361,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1367,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1373,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1379,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1385,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1391,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1397,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1403,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1409,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1415,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1421,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1427,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1433,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1439,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1445,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1451,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1457,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1463,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1469,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1475,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1481,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1487,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1493,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1499,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1505,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1511,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1517,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1523,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1529,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1535,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1541,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1547,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1553,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1559,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1565,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1571,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1577,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1583,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1589,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1595,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1601,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1607,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1613,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1619,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1625,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1631,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1637,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1649,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1657,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1663,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1669,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1675,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1681,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1687,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1693,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1699,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1705,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1711,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1717,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1723,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1729,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1735,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1741,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1747,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1753,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1759,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1765,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1771,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1777,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1783,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1789,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1795,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1801,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1807,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1813,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1819,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1825,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1831,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1837,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1843,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1849,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1855,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1861,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1867,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_1889,plain,
esk16_0 != esk2_1(powerset(esk7_0)),
inference(scs_inference,[],[i_0_123,i_0_270,i_0_109,i_0_166,i_0_89,i_0_185,i_0_178]) ).
cnf(i_0_1918,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_253]) ).
cnf(i_0_2159,plain,
~ in(esk9_0,esk2_1(esk9_0)),
inference(equality_inference,[],[2155]) ).
cnf(i_0_2170,plain,
esk10_0 != esk5_0,
inference(scs_inference,[],[i_0_124,i_0_1871,i_0_253,i_0_168,i_0_185,i_0_178]) ).
cnf(i_0_2171,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_253]) ).
cnf(i_0_2198,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_253]) ).
cnf(i_0_2203,plain,
esk10_0 != esk2_1(powerset(esk5_0)),
inference(scs_inference,[],[i_0_1871,i_0_267,i_0_178]) ).
cnf(i_0_2204,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2211,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2216,plain,
~ in(esk9_0,esk2_1(esk9_0)),
inference(equality_inference,[],[2213]) ).
cnf(i_0_2223,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2231,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2239,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2247,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2255,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2263,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2271,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2279,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2287,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2295,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2303,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2311,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2319,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2327,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2335,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2343,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2351,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2359,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2367,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2375,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2383,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2391,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2399,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2407,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2415,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2423,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2431,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2439,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2447,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2455,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2463,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2471,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2479,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2487,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2495,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2503,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2511,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2519,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2527,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2535,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2543,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2551,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2559,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_2581,plain,
in(esk19_2(esk6_0,esk12_0),esk12_0),
inference(scs_inference,[],[i_0_120,i_0_377,i_0_2138,i_0_156,i_0_165,i_0_175,i_0_194,i_0_99,i_0_121,i_0_88]) ).
cnf(i_0_2583,plain,
~ in(esk12_0,esk19_2(esk6_0,esk12_0)),
inference(scs_inference,[],[i_0_120,i_0_377,i_0_2138,i_0_156,i_0_165,i_0_175,i_0_194,i_0_99,i_0_121,i_0_88,i_0_96]) ).
cnf(i_0_2585,plain,
element(esk2_1(esk8_0),empty_set),
inference(scs_inference,[],[i_0_120,i_0_377,i_0_2138,i_0_156,i_0_165,i_0_109,i_0_175,i_0_194,i_0_99,i_0_121,i_0_88,i_0_96,i_0_184]) ).
cnf(i_0_2587,plain,
subset(empty_set,esk8_0),
inference(scs_inference,[],[i_0_120,i_0_377,i_0_112,i_0_2138,i_0_156,i_0_165,i_0_109,i_0_175,i_0_194,i_0_99,i_0_121,i_0_88,i_0_96,i_0_184,i_0_189]) ).
cnf(i_0_2589,plain,
subset(esk8_0,empty_set),
inference(scs_inference,[],[i_0_120,i_0_377,i_0_112,i_0_2588,i_0_2138,i_0_156,i_0_165,i_0_109,i_0_175,i_0_194,i_0_99,i_0_121,i_0_88,i_0_96,i_0_184,i_0_189,i_0_190]) ).
cnf(i_0_2591,plain,
~ in(esk6_0,esk19_2(esk6_0,esk12_0)),
inference(scs_inference,[],[i_0_120,i_0_377,i_0_112,i_0_2588,i_0_2138,i_0_156,i_0_165,i_0_109,i_0_175,i_0_194,i_0_99,i_0_121,i_0_88,i_0_96,i_0_184,i_0_189,i_0_190,i_0_86]) ).
cnf(i_0_2593,plain,
subset(esk6_0,esk12_0),
inference(scs_inference,[],[i_0_120,i_0_377,i_0_112,i_0_2588,i_0_2138,i_0_156,i_0_149,i_0_165,i_0_109,i_0_175,i_0_194,i_0_99,i_0_121,i_0_88,i_0_96,i_0_184,i_0_189,i_0_190,i_0_86,i_0_97]) ).
cnf(i_0_2595,plain,
~ element(esk12_0,powerset(empty_set)),
inference(scs_inference,[],[i_0_120,i_0_377,i_0_112,i_0_2588,i_0_2138,i_0_156,i_0_149,i_0_172,i_0_165,i_0_109,i_0_175,i_0_194,i_0_99,i_0_121,i_0_88,i_0_96,i_0_184,i_0_189,i_0_190,i_0_86,i_0_97,i_0_89]) ).
cnf(i_0_2597,plain,
ordinal_subset(esk2_1(esk12_0),esk2_1(esk12_0)),
inference(scs_inference,[],[i_0_120,i_0_377,i_0_112,i_0_2588,i_0_2138,i_0_156,i_0_149,i_0_222,i_0_172,i_0_165,i_0_109,i_0_175,i_0_194,i_0_99,i_0_121,i_0_88,i_0_96,i_0_184,i_0_189,i_0_190,i_0_86,i_0_97,i_0_89,i_0_98]) ).
cnf(i_0_2599,plain,
ordinal_subset(esk6_0,esk6_0),
inference(scs_inference,[],[i_0_120,i_0_377,i_0_112,i_0_2588,i_0_2590,i_0_2138,i_0_156,i_0_149,i_0_222,i_0_293,i_0_172,i_0_165,i_0_109,i_0_175,i_0_194,i_0_99,i_0_121,i_0_88,i_0_96,i_0_184,i_0_189,i_0_190,i_0_86,i_0_97,i_0_89,i_0_98,i_0_92]) ).
cnf(i_0_2602,plain,
~ in(esk12_0,powerset(empty_set)),
inference(scs_inference,[],[i_0_120,i_0_377,i_0_112,i_0_2588,i_0_2590,i_0_2138,i_0_156,i_0_149,i_0_222,i_0_293,i_0_172,i_0_165,i_0_109,i_0_175,i_0_194,i_0_99,i_0_121,i_0_88,i_0_96,i_0_184,i_0_189,i_0_190,i_0_86,i_0_97,i_0_89,i_0_98,i_0_92,i_0_102]) ).
cnf(i_0_2672,plain,
ordinal_subset(esk5_0,esk5_0),
inference(scs_inference,[],[i_0_257,i_0_194]) ).
cnf(i_0_2701,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_253]) ).
cnf(i_0_2883,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_253]) ).
cnf(i_0_316,plain,
relation(esk15_0),
inference(equality_inference,[],[307]) ).
cnf(i_0_317,plain,
~ in(esk16_0,esk2_1(esk16_0)),
inference(equality_inference,[],[314]) ).
cnf(i_0_318,plain,
ordinal(esk4_0),
inference(equality_inference,[],[315]) ).
cnf(i_0_324,plain,
in(esk5_0,esk12_0),
inference(scs_inference,[],[i_0_219,i_0_253,i_0_322,i_0_257,i_0_154,i_0_206,i_0_165,i_0_166,i_0_105,i_0_178,i_0_185,i_0_95]) ).
cnf(i_0_327,plain,
element(esk5_0,esk12_0),
inference(scs_inference,[],[i_0_219,i_0_253,i_0_322,i_0_257,i_0_154,i_0_206,i_0_165,i_0_166,i_0_105,i_0_178,i_0_185,i_0_95,i_0_102]) ).
cnf(i_0_354,plain,
epsilon_connected(esk2_1(esk12_0)),
inference(equality_inference,[],[346]) ).
cnf(i_0_402,plain,
function(esk8_0),
inference(equality_inference,[],[396]) ).
cnf(i_0_403,plain,
relation_empty_yielding(esk14_0),
inference(equality_inference,[],[397]) ).
cnf(i_0_404,plain,
epsilon_transitive(esk5_0),
inference(equality_inference,[],[398]) ).
cnf(i_0_405,plain,
one_to_one(esk7_0),
inference(equality_inference,[],[399]) ).
cnf(i_0_406,plain,
relation(esk7_0),
inference(equality_inference,[],[400]) ).
cnf(i_0_407,plain,
epsilon_connected(esk8_0),
inference(equality_inference,[],[401]) ).
cnf(i_0_418,plain,
ordinal(esk5_0),
inference(equality_inference,[],[410]) ).
cnf(i_0_427,plain,
function(esk3_0),
inference(equality_inference,[],[421]) ).
cnf(i_0_428,plain,
relation_empty_yielding(esk13_0),
inference(equality_inference,[],[422]) ).
cnf(i_0_429,plain,
epsilon_transitive(esk2_1(esk12_0)),
inference(equality_inference,[],[423]) ).
cnf(i_0_430,plain,
one_to_one(esk5_0),
inference(equality_inference,[],[424]) ).
cnf(i_0_431,plain,
relation(esk5_0),
inference(equality_inference,[],[425]) ).
cnf(i_0_432,plain,
epsilon_connected(esk4_0),
inference(equality_inference,[],[426]) ).
cnf(i_0_441,plain,
function(empty_set),
inference(equality_inference,[],[435]) ).
cnf(i_0_442,plain,
epsilon_transitive(esk2_1(powerset(esk8_0))),
inference(equality_inference,[],[436]) ).
cnf(i_0_455,plain,
function(esk5_0),
inference(equality_inference,[],[449]) ).
cnf(i_0_470,plain,
function(esk14_0),
inference(equality_inference,[],[463]) ).
cnf(i_0_471,plain,
epsilon_transitive(esk8_0),
inference(equality_inference,[],[464]) ).
cnf(i_0_472,plain,
relation(esk13_0),
inference(equality_inference,[],[465]) ).
cnf(i_0_473,plain,
ordinal(esk12_0),
inference(equality_inference,[],[466]) ).
cnf(i_0_474,plain,
epsilon_connected(esk5_0),
inference(equality_inference,[],[467]) ).
cnf(i_0_486,plain,
function(esk7_0),
inference(equality_inference,[],[477]) ).
cnf(i_0_487,plain,
epsilon_transitive(empty_set),
inference(equality_inference,[],[478]) ).
cnf(i_0_488,plain,
relation(esk11_0),
inference(equality_inference,[],[479]) ).
cnf(i_0_489,plain,
ordinal(esk6_0),
inference(equality_inference,[],[480]) ).
cnf(i_0_490,plain,
epsilon_connected(esk6_0),
inference(equality_inference,[],[481]) ).
cnf(i_0_515,plain,
~ in(esk16_0,esk2_1(esk16_0)),
inference(equality_inference,[],[505]) ).
cnf(i_0_525,plain,
epsilon_transitive(esk6_0),
inference(equality_inference,[],[516]) ).
cnf(i_0_1894,plain,
~ in(esk10_0,esk2_1(esk10_0)),
inference(equality_inference,[],[1890]) ).
cnf(i_0_2607,plain,
element(esk6_0,esk12_0),
inference(equality_inference,[],[2604]) ).
cnf(c_0_2610,plain,
( X1 = empty_set
| ~ empty(X1) ),
i_0_121 ).
cnf(c_0_2611,plain,
empty(esk5_0),
i_0_168 ).
cnf(c_0_2612,plain,
empty_set = esk5_0,
inference(spm,[status(thm)],[c_0_2610,c_0_2611]) ).
cnf(c_0_2613,plain,
( X1 = esk5_0
| ~ empty(X1) ),
inference(rw,[status(thm)],[c_0_2610,c_0_2612]) ).
cnf(c_0_2614,plain,
empty(esk7_0),
i_0_166 ).
cnf(c_0_2615,plain,
esk16_0 != esk2_1(powerset(esk7_0)),
i_0_1889 ).
cnf(c_0_2616,plain,
esk7_0 = esk5_0,
inference(spm,[status(thm)],[c_0_2613,c_0_2614]) ).
cnf(c_0_2617,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_100 ).
cnf(c_0_2618,plain,
element(esk2_1(X1),X1),
i_0_109 ).
cnf(c_0_2619,plain,
esk2_1(powerset(esk5_0)) != esk16_0,
inference(rw,[status(thm)],[c_0_2615,c_0_2616]) ).
cnf(c_0_2620,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
i_0_111 ).
cnf(c_0_2621,plain,
~ in(X1,esk2_1(powerset(esk5_0))),
i_0_1025 ).
cnf(c_0_2622,plain,
( empty(X1)
| in(esk2_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_2617,c_0_2618]) ).
cnf(c_0_2623,plain,
( ~ empty(esk2_1(powerset(esk5_0)))
| ~ empty(esk16_0) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_2619,c_0_2620])]) ).
cnf(c_0_2624,plain,
empty(esk2_1(powerset(esk5_0))),
inference(spm,[status(thm)],[c_0_2621,c_0_2622]) ).
cnf(c_0_2625,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
i_0_99 ).
cnf(c_0_2626,negated_conjecture,
subset(esk16_0,esk17_0),
i_0_120 ).
cnf(c_0_2627,plain,
~ empty(esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2623,c_0_2624])]) ).
cnf(c_0_2628,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_87 ).
cnf(c_0_2629,negated_conjecture,
element(esk16_0,powerset(esk17_0)),
inference(spm,[status(thm)],[c_0_2625,c_0_2626]) ).
cnf(c_0_2630,plain,
( in(esk19_2(X1,X2),X2)
| ~ in(X1,X2) ),
i_0_88 ).
cnf(c_0_2631,plain,
in(esk2_1(esk16_0),esk16_0),
inference(spm,[status(thm)],[c_0_2627,c_0_2622]) ).
cnf(c_0_2632,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
i_0_89 ).
cnf(c_0_2633,negated_conjecture,
( element(X1,esk17_0)
| ~ in(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_2628,c_0_2629]) ).
cnf(c_0_2634,plain,
in(esk19_2(esk2_1(esk16_0),esk16_0),esk16_0),
inference(spm,[status(thm)],[c_0_2630,c_0_2631]) ).
cnf(c_0_2635,plain,
( ~ empty(esk17_0)
| ~ in(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_2632,c_0_2629]) ).
cnf(c_0_2636,negated_conjecture,
element(esk19_2(esk2_1(esk16_0),esk16_0),esk17_0),
inference(spm,[status(thm)],[c_0_2633,c_0_2634]) ).
cnf(c_0_2637,plain,
~ empty(esk17_0),
inference(spm,[status(thm)],[c_0_2635,c_0_2631]) ).
cnf(c_0_2638,plain,
( ordinal(X1)
| ~ ordinal(X2)
| ~ in(X1,X2) ),
i_0_104 ).
cnf(c_0_2639,plain,
in(esk19_2(esk2_1(esk16_0),esk16_0),esk17_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2617,c_0_2636]),c_0_2637]) ).
cnf(c_0_2640,negated_conjecture,
ordinal(esk17_0),
i_0_153 ).
cnf(c_0_2641,plain,
( subset(X1,X2)
| ~ epsilon_transitive(X2)
| ~ in(X1,X2) ),
i_0_97 ).
cnf(c_0_2642,plain,
( in(X1,X2)
| X1 = X2
| in(X2,X1)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
i_0_95 ).
cnf(c_0_2643,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
i_0_116 ).
cnf(c_0_2644,plain,
( ~ in(X1,X2)
| ~ in(X1,esk19_2(X3,X2))
| ~ in(X3,X2) ),
i_0_86 ).
cnf(c_0_2645,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
i_0_105 ).
cnf(c_0_2646,negated_conjecture,
( in(esk18_1(X1),esk16_0)
| ~ in(X1,esk16_0)
| ~ ordinal(X1) ),
i_0_94 ).
cnf(c_0_2647,plain,
ordinal(esk19_2(esk2_1(esk16_0),esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2638,c_0_2639]),c_0_2640])]) ).
cnf(c_0_2648,plain,
empty(esk6_0),
i_0_167 ).
cnf(c_0_2649,negated_conjecture,
( ~ ordinal_subset(X1,esk18_1(X1))
| ~ in(X1,esk16_0)
| ~ ordinal(X1) ),
i_0_90 ).
cnf(c_0_2650,plain,
( empty(X1)
| in(esk19_2(esk2_1(X1),X1),X1) ),
inference(spm,[status(thm)],[c_0_2630,c_0_2622]) ).
cnf(c_0_2651,plain,
( ordinal_subset(X1,X2)
| ~ subset(X1,X2)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
i_0_92 ).
cnf(c_0_2652,plain,
( X1 = X2
| subset(X1,X2)
| in(X2,X1)
| ~ ordinal(X2)
| ~ ordinal(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2641,c_0_2642]),c_0_2643]) ).
cnf(c_0_2653,negated_conjecture,
( ordinal(esk18_1(X1))
| ~ in(X1,esk16_0)
| ~ ordinal(X1) ),
i_0_101 ).
cnf(c_0_2654,plain,
( ~ in(X1,esk19_2(esk2_1(X2),X2))
| ~ in(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2644,c_0_2622]),c_0_2645]) ).
cnf(c_0_2655,negated_conjecture,
in(esk18_1(esk19_2(esk2_1(esk16_0),esk16_0)),esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2646,c_0_2634]),c_0_2647])]) ).
cnf(c_0_2656,plain,
in(esk19_2(esk6_0,esk12_0),esk12_0),
i_0_2581 ).
cnf(c_0_2657,plain,
esk6_0 = esk5_0,
inference(spm,[status(thm)],[c_0_2613,c_0_2648]) ).
cnf(c_0_2658,negated_conjecture,
~ ordinal_subset(esk19_2(esk2_1(esk16_0),esk16_0),esk18_1(esk19_2(esk2_1(esk16_0),esk16_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2649,c_0_2650]),c_0_2647])]),c_0_2627]) ).
cnf(c_0_2659,plain,
( X1 = X2
| ordinal_subset(X1,X2)
| in(X2,X1)
| ~ ordinal(X2)
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_2651,c_0_2652]) ).
cnf(c_0_2660,negated_conjecture,
ordinal(esk18_1(esk19_2(esk2_1(esk16_0),esk16_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2653,c_0_2634]),c_0_2647])]) ).
cnf(c_0_2661,plain,
~ in(esk18_1(esk19_2(esk2_1(esk16_0),esk16_0)),esk19_2(esk2_1(esk16_0),esk16_0)),
inference(spm,[status(thm)],[c_0_2654,c_0_2655]) ).
cnf(c_0_2662,plain,
in(esk19_2(esk5_0,esk12_0),esk12_0),
inference(rw,[status(thm)],[c_0_2656,c_0_2657]) ).
cnf(c_0_2663,plain,
ordinal(esk12_0),
i_0_154 ).
cnf(c_0_2664,negated_conjecture,
esk18_1(esk19_2(esk2_1(esk16_0),esk16_0)) = esk19_2(esk2_1(esk16_0),esk16_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2658,c_0_2659]),c_0_2660]),c_0_2647])]),c_0_2661]) ).
cnf(c_0_2665,plain,
( ordinal_subset(X1,X1)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
i_0_106 ).
cnf(c_0_2666,plain,
ordinal(esk19_2(esk5_0,esk12_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2638,c_0_2662]),c_0_2663])]) ).
cnf(c_0_2667,negated_conjecture,
~ ordinal_subset(esk19_2(esk2_1(esk16_0),esk16_0),esk19_2(esk2_1(esk16_0),esk16_0)),
inference(rw,[status(thm)],[c_0_2658,c_0_2664]) ).
cnf(c_0_2668,plain,
( ordinal_subset(X1,X1)
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_2665,c_0_2666]) ).
cnf(c_0_2669,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2667,c_0_2668]),c_0_2647])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU235+3 : TPTP v9.2.1. Released v3.2.0.
% 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
% 0.13/0.32 % Computer : n025.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 02:51:43 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 154.29/77.83 % Version : CSE_E---1.7
% 154.29/77.83 % Problem : theBenchmark.p
% 154.29/77.83 % SZS status Theorem for theBenchmark.p
% 154.29/77.83 % SZS output start CNFRefutation
% See solution above
% 157.29/80.88 % Total time : 76.384s
%------------------------------------------------------------------------------