%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU229+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 : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:11:10 PM UTC 2026
% Result : Theorem 129.69s 92.44s
% Output : CNFRefutation 131.31s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 137)
% Comments :
%------------------------------------------------------------------------------
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(t3_ordinal1,conjecture,
! [X1,X2,X3] :
~ ( in(X1,X2)
& in(X2,X3)
& in(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_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(d1_enumset1,axiom,
! [X1,X2,X3,X4] :
( X4 = unordered_triple(X1,X2,X3)
<=> ! [X5] :
( in(X5,X4)
<=> ~ ( X5 != X1
& X5 != X2
& X5 != X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_enumset1) ).
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(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(cc2_funct_1,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_funct_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(cc1_relat_1,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(cc1_funct_1,axiom,
! [X1] :
( empty(X1)
=> function(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(rc4_funct_1,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1)
& function(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_funct_1) ).
fof(rc3_relat_1,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(rc3_funct_1,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(rc2_funct_1,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(rc1_relat_1,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(rc1_funct_1,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(fc12_relat_1,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(fc4_relat_1,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_25,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_26,negated_conjecture,
~ ! [X1,X2,X3] :
~ ( in(X1,X2)
& in(X2,X3)
& in(X3,X1) ),
inference(assume_negation,[status(cth)],[t3_ordinal1]) ).
fof(i_0_27,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_28,plain,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
inference(fof_simplification,[status(thm)],[rc2_relat_1]) ).
fof(i_0_29,plain,
! [X48,X49,X50,X51,X52,X53,X54,X55,X56,X57] :
( ( ~ in(X52,X51)
| X52 = X48
| X52 = X49
| X52 = X50
| X51 != unordered_triple(X48,X49,X50) )
& ( X53 != X48
| in(X53,X51)
| X51 != unordered_triple(X48,X49,X50) )
& ( X53 != X49
| in(X53,X51)
| X51 != unordered_triple(X48,X49,X50) )
& ( X53 != X50
| in(X53,X51)
| X51 != unordered_triple(X48,X49,X50) )
& ( esk1_4(X54,X55,X56,X57) != X54
| ~ in(esk1_4(X54,X55,X56,X57),X57)
| X57 = unordered_triple(X54,X55,X56) )
& ( esk1_4(X54,X55,X56,X57) != X55
| ~ in(esk1_4(X54,X55,X56,X57),X57)
| X57 = unordered_triple(X54,X55,X56) )
& ( esk1_4(X54,X55,X56,X57) != X56
| ~ in(esk1_4(X54,X55,X56,X57),X57)
| X57 = unordered_triple(X54,X55,X56) )
& ( in(esk1_4(X54,X55,X56,X57),X57)
| esk1_4(X54,X55,X56,X57) = X54
| esk1_4(X54,X55,X56,X57) = X55
| esk1_4(X54,X55,X56,X57) = X56
| X57 = unordered_triple(X54,X55,X56) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_enumset1])])])])])]) ).
fof(i_0_30,plain,
! [X80,X81,X83] :
( ( in(esk15_2(X80,X81),X81)
| ~ in(X80,X81) )
& ( ~ in(X83,X81)
| ~ in(X83,esk15_2(X80,X81))
| ~ in(X80,X81) ) ),
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_31,plain,
! [X43,X44] :
( ~ in(X43,X44)
| ~ in(X44,X43) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_25])]) ).
fof(i_0_32,plain,
! [X72,X73] :
( ~ element(X72,X73)
| empty(X73)
| in(X72,X73) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_33,plain,
! [X70,X71] :
( ~ in(X70,X71)
| element(X70,X71) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_34,plain,
! [X78,X79] :
( ~ in(X78,X79)
| ~ empty(X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_35,plain,
! [X47] :
( ( relation(X47)
| ~ relation(X47)
| ~ empty(X47)
| ~ function(X47) )
& ( function(X47)
| ~ relation(X47)
| ~ empty(X47)
| ~ function(X47) )
& ( one_to_one(X47)
| ~ relation(X47)
| ~ empty(X47)
| ~ function(X47) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_funct_1])])]) ).
fof(i_0_36,plain,
! [X59] : element(esk2_1(X59),X59),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_37,plain,
! [X84,X85] :
( ~ empty(X84)
| X84 = X85
| ~ empty(X85) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_38,plain,
! [X46] :
( ~ empty(X46)
| relation(X46) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
fof(i_0_39,plain,
! [X45] :
( ~ empty(X45)
| function(X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])]) ).
fof(i_0_40,negated_conjecture,
( in(esk12_0,esk13_0)
& in(esk13_0,esk14_0)
& in(esk14_0,esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_26])])]) ).
fof(i_0_41,plain,
! [X77] :
( ~ empty(X77)
| X77 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_42,plain,
~ empty(esk8_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_27])]) ).
fof(i_0_43,plain,
( ~ empty(esk7_0)
& relation(esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_28])]) ).
fof(i_0_44,plain,
( relation(esk11_0)
& relation_empty_yielding(esk11_0)
& function(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc4_funct_1])]) ).
fof(i_0_45,plain,
( relation(esk10_0)
& relation_empty_yielding(esk10_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_relat_1])]) ).
fof(i_0_46,plain,
( relation(esk9_0)
& function(esk9_0)
& one_to_one(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_funct_1])]) ).
fof(i_0_47,plain,
( relation(esk6_0)
& empty(esk6_0)
& function(esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_funct_1])]) ).
fof(i_0_48,plain,
( empty(esk4_0)
& relation(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
fof(i_0_49,plain,
( relation(esk3_0)
& function(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_1])]) ).
fof(i_0_50,plain,
empty(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_51,plain,
( in(esk1_4(X1,X2,X3,X4),X4)
| esk1_4(X1,X2,X3,X4) = X1
| esk1_4(X1,X2,X3,X4) = X2
| esk1_4(X1,X2,X3,X4) = X3
| X4 = unordered_triple(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_52,plain,
( X4 = unordered_triple(X1,X2,X3)
| esk1_4(X1,X2,X3,X4) != X1
| ~ in(esk1_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_53,plain,
( X4 = unordered_triple(X1,X2,X3)
| esk1_4(X1,X2,X3,X4) != X2
| ~ in(esk1_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_54,plain,
( X4 = unordered_triple(X1,X2,X3)
| esk1_4(X1,X2,X3,X4) != X3
| ~ in(esk1_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_55,plain,
( X1 = X3
| X1 = X4
| X1 = X5
| ~ in(X1,X2)
| X2 != unordered_triple(X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_56,plain,
( ~ in(X1,X2)
| ~ in(X1,esk15_2(X3,X2))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_30]),
[final] ).
cnf(i_0_57,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_triple(X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_58,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_triple(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_59,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_triple(X4,X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_60,plain,
( in(esk15_2(X1,X2),X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_30]),
[final] ).
cnf(i_0_61,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_31]),
[final] ).
cnf(i_0_62,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_63,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_64,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_65,plain,
( one_to_one(X1)
| ~ relation(X1)
| ~ empty(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_66,plain,
element(esk2_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_36]),
[final] ).
cnf(i_0_67,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_37]),
[final] ).
cnf(i_0_68,plain,
( relation(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_38]),
[final] ).
cnf(i_0_69,plain,
( function(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_39]),
[final] ).
cnf(i_0_70,negated_conjecture,
in(esk14_0,esk12_0),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_71,negated_conjecture,
in(esk13_0,esk14_0),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_72,negated_conjecture,
in(esk12_0,esk13_0),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_73,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_74,plain,
~ empty(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_75,plain,
~ empty(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_76,plain,
relation_empty_yielding(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_77,plain,
relation_empty_yielding(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_78,plain,
relation_empty_yielding(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_79,plain,
one_to_one(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_80,plain,
relation(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_81,plain,
relation(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_82,plain,
relation(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_83,plain,
relation(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_84,plain,
relation(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_85,plain,
relation(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_86,plain,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_87,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_88,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_89,plain,
function(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_90,plain,
function(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_91,plain,
function(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_92,plain,
function(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_93,plain,
empty(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_94,plain,
empty(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_95,plain,
empty(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_96,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_97,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_98,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_99,axiom,
X1 = X1 ).
cnf(i_0_100,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_101,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_102,axiom,
( X1 != X2
| esk1_4(X1,X3,X4,X5) = esk1_4(X2,X3,X4,X5) ) ).
cnf(i_0_103,axiom,
( X1 != X2
| esk1_4(X3,X1,X4,X5) = esk1_4(X3,X2,X4,X5) ) ).
cnf(i_0_104,axiom,
( X1 != X2
| esk1_4(X3,X4,X1,X5) = esk1_4(X3,X4,X2,X5) ) ).
cnf(i_0_105,axiom,
( X1 != X2
| esk1_4(X3,X4,X5,X1) = esk1_4(X3,X4,X5,X2) ) ).
cnf(i_0_106,axiom,
( X1 != X2
| unordered_triple(X1,X3,X4) = unordered_triple(X2,X3,X4) ) ).
cnf(i_0_107,axiom,
( X1 != X2
| unordered_triple(X3,X1,X4) = unordered_triple(X3,X2,X4) ) ).
cnf(i_0_108,axiom,
( X1 != X2
| unordered_triple(X3,X4,X1) = unordered_triple(X3,X4,X2) ) ).
cnf(i_0_109,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_110,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_111,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_112,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_113,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_114,axiom,
( X1 != X2
| ~ one_to_one(X1)
| one_to_one(X2) ) ).
cnf(i_0_115,axiom,
( X1 != X2
| ~ relation(X1)
| relation(X2) ) ).
cnf(i_0_116,axiom,
( X1 != X2
| ~ function(X1)
| function(X2) ) ).
cnf(i_0_117,axiom,
( X1 != X2
| ~ relation_empty_yielding(X1)
| relation_empty_yielding(X2) ) ).
cnf(i_0_119,plain,
~ in(esk12_0,esk14_0),
inference(scs_inference,[],[i_0_70,i_0_61]) ).
cnf(i_0_121,plain,
element(esk14_0,esk12_0),
inference(scs_inference,[],[i_0_70,i_0_61,i_0_63]) ).
cnf(i_0_123,plain,
~ in(X1,esk6_0),
inference(scs_inference,[],[i_0_70,i_0_93,i_0_61,i_0_63,i_0_64]) ).
cnf(i_0_125,plain,
relation(esk5_0),
inference(scs_inference,[],[i_0_70,i_0_93,i_0_94,i_0_61,i_0_63,i_0_64,i_0_68]) ).
cnf(i_0_127,plain,
function(esk5_0),
inference(scs_inference,[],[i_0_70,i_0_93,i_0_94,i_0_61,i_0_63,i_0_64,i_0_68,i_0_69]) ).
cnf(i_0_129,plain,
esk13_0 != esk12_0,
inference(scs_inference,[],[i_0_70,i_0_71,i_0_93,i_0_94,i_0_61,i_0_63,i_0_64,i_0_68,i_0_69,i_0_109]) ).
cnf(i_0_130,plain,
esk13_0 != esk14_0,
inference(scs_inference,[],[i_0_70,i_0_71,i_0_72,i_0_93,i_0_94,i_0_61,i_0_63,i_0_64,i_0_68,i_0_69,i_0_109,i_0_110]) ).
cnf(i_0_131,plain,
esk6_0 != esk8_0,
inference(scs_inference,[],[i_0_70,i_0_71,i_0_72,i_0_74,i_0_93,i_0_94,i_0_61,i_0_63,i_0_64,i_0_68,i_0_69,i_0_109,i_0_110,i_0_111]) ).
cnf(i_0_132,plain,
in(esk2_1(esk8_0),esk8_0),
inference(scs_inference,[],[i_0_70,i_0_71,i_0_72,i_0_66,i_0_74,i_0_93,i_0_94,i_0_61,i_0_63,i_0_64,i_0_68,i_0_69,i_0_109,i_0_110,i_0_111,i_0_62]) ).
cnf(i_0_133,plain,
element(esk2_1(X1),X1),
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_135,plain,
one_to_one(esk6_0),
inference(scs_inference,[],[i_0_70,i_0_71,i_0_72,i_0_66,i_0_74,i_0_84,i_0_91,i_0_93,i_0_94,i_0_61,i_0_63,i_0_64,i_0_68,i_0_69,i_0_109,i_0_110,i_0_111,i_0_62,i_0_65]) ).
cnf(i_0_145,plain,
~ in(esk14_0,esk13_0),
inference(scs_inference,[],[i_0_71,i_0_61]) ).
cnf(i_0_147,plain,
element(esk13_0,esk14_0),
inference(scs_inference,[],[i_0_71,i_0_61,i_0_63]) ).
cnf(i_0_149,plain,
~ in(X1,esk4_0),
inference(scs_inference,[],[i_0_71,i_0_95,i_0_61,i_0_63,i_0_64]) ).
cnf(i_0_151,plain,
function(esk4_0),
inference(scs_inference,[],[i_0_71,i_0_95,i_0_61,i_0_63,i_0_64,i_0_69]) ).
cnf(i_0_153,plain,
in(esk2_1(esk7_0),esk7_0),
inference(scs_inference,[],[i_0_71,i_0_75,i_0_95,i_0_66,i_0_61,i_0_63,i_0_64,i_0_69,i_0_62]) ).
cnf(i_0_154,plain,
element(esk2_1(X1),X1),
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_156,plain,
esk12_0 != esk14_0,
inference(scs_inference,[],[i_0_71,i_0_72,i_0_75,i_0_95,i_0_66,i_0_61,i_0_63,i_0_64,i_0_69,i_0_62,i_0_109]) ).
cnf(i_0_170,plain,
~ in(esk13_0,esk12_0),
inference(scs_inference,[],[i_0_72,i_0_61]) ).
cnf(i_0_172,plain,
element(esk12_0,esk13_0),
inference(scs_inference,[],[i_0_72,i_0_61,i_0_63]) ).
cnf(i_0_174,plain,
function(empty_set),
inference(scs_inference,[],[i_0_72,i_0_98,i_0_61,i_0_63,i_0_69]) ).
cnf(i_0_176,plain,
~ in(X1,empty_set),
inference(scs_inference,[],[i_0_72,i_0_98,i_0_61,i_0_63,i_0_69,i_0_64]) ).
cnf(i_0_178,plain,
empty_set != esk8_0,
inference(scs_inference,[],[i_0_72,i_0_98,i_0_74,i_0_61,i_0_63,i_0_69,i_0_64,i_0_111]) ).
cnf(i_0_179,plain,
esk14_0 != esk13_0,
inference(scs_inference,[],[i_0_70,i_0_72,i_0_98,i_0_74,i_0_61,i_0_63,i_0_69,i_0_64,i_0_111,i_0_109]) ).
cnf(i_0_214,plain,
element(esk2_1(X1),X1),
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_240,plain,
esk5_0 != esk8_0,
inference(scs_inference,[],[i_0_94,i_0_74,i_0_111]) ).
cnf(i_0_249,plain,
esk6_0 != esk7_0,
inference(scs_inference,[],[i_0_93,i_0_75,i_0_111]) ).
cnf(i_0_262,plain,
esk4_0 != esk8_0,
inference(scs_inference,[],[i_0_95,i_0_74,i_0_111]) ).
cnf(i_0_268,plain,
empty_set != esk7_0,
inference(scs_inference,[],[i_0_98,i_0_75,i_0_111]) ).
cnf(i_0_388,plain,
element(esk2_1(X1),X1),
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_528,plain,
element(esk2_1(X1),X1),
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_3090,plain,
element(esk2_1(X1),X1),
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_3124,plain,
in(esk15_2(esk12_0,esk13_0),esk13_0),
inference(scs_inference,[],[i_0_72,i_0_60]) ).
cnf(i_0_3161,plain,
in(esk15_2(esk13_0,esk14_0),esk14_0),
inference(scs_inference,[],[i_0_71,i_0_60]) ).
cnf(i_0_3163,plain,
esk5_0 = empty_set,
inference(scs_inference,[],[i_0_94,i_0_71,i_0_60,i_0_73]) ).
cnf(i_0_3165,plain,
esk1_4(esk5_0,X1,X2,X3) = esk1_4(empty_set,X1,X2,X3),
inference(scs_inference,[],[i_0_94,i_0_71,i_0_60,i_0_73,i_0_102]) ).
cnf(i_0_3166,plain,
esk1_4(X1,esk5_0,X2,X3) = esk1_4(X1,empty_set,X2,X3),
inference(scs_inference,[],[i_0_94,i_0_71,i_0_60,i_0_73,i_0_102,i_0_103]) ).
cnf(i_0_3167,plain,
esk1_4(X1,X2,esk5_0,X3) = esk1_4(X1,X2,empty_set,X3),
inference(scs_inference,[],[i_0_94,i_0_71,i_0_60,i_0_73,i_0_102,i_0_103,i_0_104]) ).
cnf(i_0_3168,plain,
esk1_4(X1,X2,X3,esk5_0) = esk1_4(X1,X2,X3,empty_set),
inference(scs_inference,[],[i_0_94,i_0_71,i_0_60,i_0_73,i_0_102,i_0_103,i_0_104,i_0_105]) ).
cnf(i_0_3169,plain,
unordered_triple(esk5_0,X1,X2) = unordered_triple(empty_set,X1,X2),
inference(scs_inference,[],[i_0_94,i_0_71,i_0_60,i_0_73,i_0_102,i_0_103,i_0_104,i_0_105,i_0_106]) ).
cnf(i_0_3170,plain,
unordered_triple(X1,esk5_0,X2) = unordered_triple(X1,empty_set,X2),
inference(scs_inference,[],[i_0_94,i_0_71,i_0_60,i_0_73,i_0_102,i_0_103,i_0_104,i_0_105,i_0_106,i_0_107]) ).
cnf(i_0_3171,plain,
unordered_triple(X1,X2,esk5_0) = unordered_triple(X1,X2,empty_set),
inference(scs_inference,[],[i_0_94,i_0_71,i_0_60,i_0_73,i_0_102,i_0_103,i_0_104,i_0_105,i_0_106,i_0_107,i_0_108]) ).
cnf(i_0_3187,plain,
element(esk2_1(X1),X1),
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_3214,plain,
element(esk2_1(X1),X1),
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_141,plain,
one_to_one(esk9_0),
inference(equality_inference,[],[137]) ).
cnf(i_0_142,plain,
relation(esk11_0),
inference(equality_inference,[],[138]) ).
cnf(i_0_143,plain,
function(esk11_0),
inference(equality_inference,[],[139]) ).
cnf(i_0_144,plain,
relation_empty_yielding(esk11_0),
inference(equality_inference,[],[140]) ).
cnf(i_0_157,plain,
esk12_0 != esk6_0,
inference(scs_inference,[],[i_0_70,i_0_71,i_0_72,i_0_123,i_0_75,i_0_95,i_0_66,i_0_61,i_0_63,i_0_64,i_0_69,i_0_62,i_0_109,i_0_110]) ).
cnf(i_0_158,plain,
~ in(X1,esk6_0),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_159,plain,
esk4_0 != esk7_0,
inference(scs_inference,[],[i_0_70,i_0_71,i_0_72,i_0_123,i_0_75,i_0_95,i_0_66,i_0_61,i_0_63,i_0_64,i_0_69,i_0_62,i_0_109,i_0_110,i_0_111]) ).
cnf(i_0_160,plain,
one_to_one(esk4_0),
inference(scs_inference,[],[i_0_70,i_0_71,i_0_72,i_0_123,i_0_75,i_0_85,i_0_95,i_0_66,i_0_61,i_0_63,i_0_64,i_0_69,i_0_62,i_0_109,i_0_110,i_0_111,i_0_65]) ).
cnf(i_0_180,plain,
esk12_0 != esk4_0,
inference(scs_inference,[],[i_0_70,i_0_72,i_0_149,i_0_98,i_0_74,i_0_61,i_0_63,i_0_69,i_0_64,i_0_111,i_0_109,i_0_110]) ).
cnf(i_0_181,plain,
~ in(X1,esk4_0),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_182,plain,
one_to_one(empty_set),
inference(scs_inference,[],[i_0_70,i_0_72,i_0_149,i_0_98,i_0_88,i_0_74,i_0_61,i_0_63,i_0_69,i_0_64,i_0_111,i_0_109,i_0_110,i_0_65]) ).
cnf(i_0_192,plain,
~ in(esk8_0,esk2_1(esk8_0)),
inference(scs_inference,[],[i_0_132,i_0_61]) ).
cnf(i_0_194,plain,
~ in(X1,esk5_0),
inference(scs_inference,[],[i_0_94,i_0_132,i_0_61,i_0_64]) ).
cnf(i_0_196,plain,
esk5_0 != esk7_0,
inference(scs_inference,[],[i_0_94,i_0_132,i_0_75,i_0_61,i_0_64,i_0_111]) ).
cnf(i_0_197,plain,
esk12_0 != empty_set,
inference(scs_inference,[],[i_0_70,i_0_176,i_0_94,i_0_132,i_0_75,i_0_61,i_0_64,i_0_111,i_0_110]) ).
cnf(i_0_198,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_199,plain,
one_to_one(esk5_0),
inference(scs_inference,[],[i_0_70,i_0_176,i_0_94,i_0_132,i_0_125,i_0_127,i_0_75,i_0_61,i_0_64,i_0_111,i_0_110,i_0_65]) ).
cnf(i_0_201,plain,
~ empty(esk12_0),
inference(scs_inference,[],[i_0_70,i_0_176,i_0_94,i_0_132,i_0_125,i_0_127,i_0_75,i_0_61,i_0_64,i_0_111,i_0_110,i_0_65,i_0_73]) ).
cnf(i_0_211,plain,
~ in(esk7_0,esk2_1(esk7_0)),
inference(scs_inference,[],[i_0_153,i_0_61]) ).
cnf(i_0_374,plain,
esk14_0 != esk6_0,
inference(scs_inference,[],[i_0_71,i_0_123,i_0_110]) ).
cnf(i_0_375,plain,
~ in(X1,esk6_0),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_378,plain,
esk14_0 != esk4_0,
inference(scs_inference,[],[i_0_71,i_0_149,i_0_110]) ).
cnf(i_0_379,plain,
~ in(X1,esk4_0),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_382,plain,
esk14_0 != empty_set,
inference(scs_inference,[],[i_0_71,i_0_176,i_0_110]) ).
cnf(i_0_383,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_384,plain,
~ empty(esk14_0),
inference(scs_inference,[],[i_0_71,i_0_176,i_0_110,i_0_73]) ).
cnf(i_0_514,plain,
esk13_0 != esk6_0,
inference(scs_inference,[],[i_0_72,i_0_123,i_0_110]) ).
cnf(i_0_515,plain,
~ in(X1,esk6_0),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_518,plain,
esk13_0 != esk4_0,
inference(scs_inference,[],[i_0_72,i_0_149,i_0_110]) ).
cnf(i_0_519,plain,
~ in(X1,esk4_0),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_522,plain,
esk13_0 != empty_set,
inference(scs_inference,[],[i_0_72,i_0_176,i_0_110]) ).
cnf(i_0_523,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_524,plain,
~ empty(esk13_0),
inference(scs_inference,[],[i_0_72,i_0_176,i_0_110,i_0_73]) ).
cnf(i_0_3082,plain,
esk8_0 != esk6_0,
inference(scs_inference,[],[i_0_131,i_0_100]) ).
cnf(i_0_3083,plain,
in(esk15_2(esk14_0,esk12_0),esk12_0),
inference(scs_inference,[],[i_0_70,i_0_131,i_0_100,i_0_60]) ).
cnf(i_0_3085,plain,
esk6_0 = empty_set,
inference(scs_inference,[],[i_0_70,i_0_131,i_0_93,i_0_100,i_0_60,i_0_73]) ).
cnf(i_0_3087,plain,
~ in(esk12_0,esk15_2(esk14_0,esk12_0)),
inference(scs_inference,[],[i_0_70,i_0_131,i_0_93,i_0_100,i_0_60,i_0_73,i_0_61]) ).
cnf(i_0_3089,plain,
element(esk2_1(esk6_0),empty_set),
inference(scs_inference,[],[i_0_70,i_0_131,i_0_66,i_0_93,i_0_100,i_0_60,i_0_73,i_0_61,i_0_113]) ).
cnf(i_0_3091,plain,
~ in(esk14_0,esk15_2(esk14_0,esk12_0)),
inference(scs_inference,[],[i_0_70,i_0_131,i_0_66,i_0_93,i_0_100,i_0_60,i_0_73,i_0_61,i_0_113,i_0_56]) ).
cnf(i_0_3134,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_3137,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_3140,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_3176,plain,
~ in(X1,esk4_0),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_3179,plain,
~ in(X1,esk4_0),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_3182,plain,
~ in(X1,esk4_0),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_3205,plain,
~ in(X1,esk6_0),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_3208,plain,
~ in(X1,esk6_0),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_3211,plain,
~ in(X1,esk6_0),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_3217,plain,
unordered_triple(esk5_0,X1,X2) = unordered_triple(empty_set,X1,X2),
inference(rename_variables,[],[i_0_3169]) ).
cnf(i_0_3229,plain,
esk1_4(esk5_0,X1,X2,X3) = esk1_4(empty_set,X1,X2,X3),
inference(rename_variables,[],[i_0_3165]) ).
cnf(i_0_3230,plain,
esk1_4(X1,esk5_0,X2,X3) = esk1_4(X1,empty_set,X2,X3),
inference(rename_variables,[],[i_0_3166]) ).
cnf(i_0_3257,plain,
esk1_4(X1,X2,esk5_0,X3) = esk1_4(X1,X2,empty_set,X3),
inference(rename_variables,[],[i_0_3167]) ).
cnf(i_0_3275,plain,
unordered_triple(X1,X2,esk5_0) = unordered_triple(X1,X2,empty_set),
inference(rename_variables,[],[i_0_3171]) ).
cnf(i_0_3292,plain,
esk1_4(X1,X2,X3,esk5_0) = esk1_4(X1,X2,X3,empty_set),
inference(rename_variables,[],[i_0_3168]) ).
cnf(i_0_3350,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_3368,plain,
unordered_triple(esk5_0,X1,X2) = unordered_triple(empty_set,X1,X2),
inference(rename_variables,[],[i_0_3169]) ).
cnf(i_0_3372,plain,
unordered_triple(esk5_0,X1,X2) = unordered_triple(empty_set,X1,X2),
inference(rename_variables,[],[i_0_3169]) ).
cnf(i_0_3383,plain,
unordered_triple(X1,X2,esk5_0) = unordered_triple(X1,X2,empty_set),
inference(rename_variables,[],[i_0_3171]) ).
cnf(c_0_82,plain,
( X1 = X2
| X1 = X3
| X1 = X4
| ~ in(X1,X5)
| X5 != unordered_triple(X2,X3,X4) ),
i_0_55 ).
cnf(c_0_83,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_triple(X4,X5,X3) ),
i_0_59 ).
cnf(c_0_84,plain,
( X1 = X2
| X1 = X3
| X1 = X4
| ~ in(X1,unordered_triple(X4,X3,X2)) ),
inference(er,[status(thm)],[c_0_82]) ).
cnf(c_0_85,plain,
( in(esk15_2(X1,X2),X2)
| ~ in(X1,X2) ),
i_0_60 ).
cnf(c_0_86,plain,
( in(X1,X2)
| X2 != unordered_triple(X3,X4,X1) ),
inference(er,[status(thm)],[c_0_83]) ).
cnf(c_0_87,plain,
( esk15_2(X1,unordered_triple(X2,X3,X4)) = X2
| esk15_2(X1,unordered_triple(X2,X3,X4)) = X3
| esk15_2(X1,unordered_triple(X2,X3,X4)) = X4
| ~ in(X1,unordered_triple(X2,X3,X4)) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_88,plain,
in(X1,unordered_triple(X2,X3,X1)),
inference(er,[status(thm)],[c_0_86]) ).
cnf(c_0_89,plain,
( ~ in(X1,X2)
| ~ in(X1,esk15_2(X3,X2))
| ~ in(X3,X2) ),
i_0_56 ).
cnf(c_0_90,plain,
( esk15_2(X1,unordered_triple(X2,X3,X1)) = X1
| esk15_2(X1,unordered_triple(X2,X3,X1)) = X3
| esk15_2(X1,unordered_triple(X2,X3,X1)) = X2 ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_91,plain,
( esk15_2(X1,unordered_triple(X2,X3,X1)) = X3
| esk15_2(X1,unordered_triple(X2,X3,X1)) = X1
| ~ in(X4,unordered_triple(X2,X3,X1))
| ~ in(X4,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_88])]) ).
cnf(c_0_92,plain,
( esk15_2(X1,unordered_triple(X2,X3,X1)) = X1
| esk15_2(X1,unordered_triple(X2,X3,X1)) = X3
| ~ in(X1,X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_88]) ).
cnf(c_0_93,negated_conjecture,
in(esk13_0,esk14_0),
i_0_71 ).
cnf(c_0_94,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_triple(X3,X4,X5) ),
i_0_57 ).
cnf(c_0_95,negated_conjecture,
( esk15_2(esk13_0,unordered_triple(esk14_0,X1,esk13_0)) = esk13_0
| esk15_2(esk13_0,unordered_triple(esk14_0,X1,esk13_0)) = X1 ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_96,plain,
( in(X1,X2)
| X2 != unordered_triple(X1,X3,X4) ),
inference(er,[status(thm)],[c_0_94]) ).
cnf(c_0_97,plain,
( esk15_2(esk13_0,unordered_triple(esk14_0,X1,esk13_0)) = esk13_0
| ~ in(X2,unordered_triple(esk14_0,X1,esk13_0))
| ~ in(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_95]),c_0_88])]) ).
cnf(c_0_98,plain,
in(X1,unordered_triple(X1,X2,X3)),
inference(er,[status(thm)],[c_0_96]) ).
cnf(c_0_99,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_triple(X4,X3,X5) ),
i_0_58 ).
cnf(c_0_100,plain,
( esk15_2(esk13_0,unordered_triple(esk14_0,X1,esk13_0)) = esk13_0
| ~ in(esk14_0,X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_101,plain,
( in(X1,X2)
| X2 != unordered_triple(X3,X1,X4) ),
inference(er,[status(thm)],[c_0_99]) ).
cnf(c_0_102,plain,
( ~ in(X1,unordered_triple(esk14_0,X2,esk13_0))
| ~ in(X1,esk13_0)
| ~ in(esk14_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_100]),c_0_88])]) ).
cnf(c_0_103,plain,
in(X1,unordered_triple(X2,X1,X3)),
inference(er,[status(thm)],[c_0_101]) ).
cnf(c_0_104,plain,
( ~ in(X1,esk13_0)
| ~ in(esk14_0,X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_105,negated_conjecture,
in(esk12_0,esk13_0),
i_0_72 ).
cnf(c_0_106,negated_conjecture,
in(esk14_0,esk12_0),
i_0_70 ).
cnf(c_0_107,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU229+1 : TPTP v9.2.1. Released v3.3.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34 % Computer : n023.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 02:51:39 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 129.69/92.44 % Version : CSE_E---1.7
% 129.69/92.44 % Problem : theBenchmark.p
% 129.69/92.44 % SZS status Theorem for theBenchmark.p
% 129.69/92.44 % SZS output start CNFRefutation
% See solution above
% 131.31/94.10 % Total time : 91.983s
%------------------------------------------------------------------------------