%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU229+3 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n021.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 129.25s 94.36s
% Output : CNFRefutation 130.75s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_129)
% Comments :
%------------------------------------------------------------------------------
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',t3_ordinal1) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ empty(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(rc2_relat_1,axiom,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t7_tarski) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cc2_funct_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(cc1_relat_1,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(cc1_funct_1,axiom,
! [X1] :
( empty(X1)
=> function(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(rc5_funct_1,axiom,
? [X1] :
( relation(X1)
& relation_non_empty(X1)
& function(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_funct_1) ).
fof(rc4_funct_1,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1)
& function(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_funct_1) ).
fof(rc3_relat_1,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(rc3_funct_1,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(rc2_funct_1,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(rc1_relat_1,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(rc1_funct_1,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(fc4_relat_1,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_26,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_27,negated_conjecture,
~ ! [X1,X2,X3] :
~ ( in(X1,X2)
& in(X2,X3)
& in(X3,X1) ),
inference(assume_negation,[status(cth)],[t3_ordinal1]) ).
fof(i_0_28,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_29,plain,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
inference(fof_simplification,[status(thm)],[rc2_relat_1]) ).
fof(i_0_30,plain,
! [X49,X50,X51,X52,X53,X54,X55,X56,X57,X58] :
( ( ~ in(X53,X52)
| X53 = X49
| X53 = X50
| X53 = X51
| X52 != unordered_triple(X49,X50,X51) )
& ( X54 != X49
| in(X54,X52)
| X52 != unordered_triple(X49,X50,X51) )
& ( X54 != X50
| in(X54,X52)
| X52 != unordered_triple(X49,X50,X51) )
& ( X54 != X51
| in(X54,X52)
| X52 != unordered_triple(X49,X50,X51) )
& ( esk1_4(X55,X56,X57,X58) != X55
| ~ in(esk1_4(X55,X56,X57,X58),X58)
| X58 = unordered_triple(X55,X56,X57) )
& ( esk1_4(X55,X56,X57,X58) != X56
| ~ in(esk1_4(X55,X56,X57,X58),X58)
| X58 = unordered_triple(X55,X56,X57) )
& ( esk1_4(X55,X56,X57,X58) != X57
| ~ in(esk1_4(X55,X56,X57,X58),X58)
| X58 = unordered_triple(X55,X56,X57) )
& ( in(esk1_4(X55,X56,X57,X58),X58)
| esk1_4(X55,X56,X57,X58) = X55
| esk1_4(X55,X56,X57,X58) = X56
| esk1_4(X55,X56,X57,X58) = X57
| X58 = unordered_triple(X55,X56,X57) ) ),
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_31,plain,
! [X82,X83,X85] :
( ( in(esk16_2(X82,X83),X83)
| ~ in(X82,X83) )
& ( ~ in(X85,X83)
| ~ in(X85,esk16_2(X82,X83))
| ~ in(X82,X83) ) ),
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_32,plain,
! [X44,X45] :
( ~ in(X44,X45)
| ~ in(X45,X44) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_26])]) ).
fof(i_0_33,plain,
! [X74,X75] :
( ~ element(X74,X75)
| empty(X75)
| in(X74,X75) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_34,plain,
! [X72,X73] :
( ~ in(X72,X73)
| element(X72,X73) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_35,plain,
! [X80,X81] :
( ~ in(X80,X81)
| ~ empty(X81) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_36,plain,
! [X48] :
( ( relation(X48)
| ~ relation(X48)
| ~ empty(X48)
| ~ function(X48) )
& ( function(X48)
| ~ relation(X48)
| ~ empty(X48)
| ~ function(X48) )
& ( one_to_one(X48)
| ~ relation(X48)
| ~ empty(X48)
| ~ function(X48) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_funct_1])])]) ).
fof(i_0_37,plain,
! [X60] : element(esk2_1(X60),X60),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_38,plain,
! [X86,X87] :
( ~ empty(X86)
| X86 = X87
| ~ empty(X87) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_39,plain,
! [X47] :
( ~ empty(X47)
| relation(X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
fof(i_0_40,plain,
! [X46] :
( ~ empty(X46)
| function(X46) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])]) ).
fof(i_0_41,negated_conjecture,
( in(esk13_0,esk14_0)
& in(esk14_0,esk15_0)
& in(esk15_0,esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_27])])]) ).
fof(i_0_42,plain,
! [X79] :
( ~ empty(X79)
| X79 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_43,plain,
~ empty(esk8_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_28])]) ).
fof(i_0_44,plain,
( ~ empty(esk7_0)
& relation(esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_29])]) ).
fof(i_0_45,plain,
( relation(esk12_0)
& relation_non_empty(esk12_0)
& function(esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc5_funct_1])]) ).
fof(i_0_46,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_47,plain,
( relation(esk10_0)
& relation_empty_yielding(esk10_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_relat_1])]) ).
fof(i_0_48,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_49,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_50,plain,
( empty(esk4_0)
& relation(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
fof(i_0_51,plain,
( relation(esk3_0)
& function(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_1])]) ).
fof(i_0_52,plain,
empty(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_53,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_30]),
[final] ).
cnf(i_0_54,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_30]),
[final] ).
cnf(i_0_55,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_30]),
[final] ).
cnf(i_0_56,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_30]),
[final] ).
cnf(i_0_57,plain,
( X1 = X3
| X1 = X4
| X1 = X5
| ~ in(X1,X2)
| X2 != unordered_triple(X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_30]),
[final] ).
cnf(i_0_58,plain,
( ~ in(X1,X2)
| ~ in(X1,esk16_2(X3,X2))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_31]),
[final] ).
cnf(i_0_59,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_triple(X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_30]),
[final] ).
cnf(i_0_60,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_triple(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_30]),
[final] ).
cnf(i_0_61,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_triple(X4,X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_30]),
[final] ).
cnf(i_0_62,plain,
( in(esk16_2(X1,X2),X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_31]),
[final] ).
cnf(i_0_63,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_64,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_65,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_66,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_67,plain,
( one_to_one(X1)
| ~ relation(X1)
| ~ empty(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_36]),
[final] ).
cnf(i_0_68,plain,
element(esk2_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_37]),
[final] ).
cnf(i_0_69,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_38]),
[final] ).
cnf(i_0_70,plain,
( relation(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_39]),
[final] ).
cnf(i_0_71,plain,
( function(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_72,negated_conjecture,
in(esk15_0,esk13_0),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_73,negated_conjecture,
in(esk14_0,esk15_0),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_74,negated_conjecture,
in(esk13_0,esk14_0),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_75,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_76,plain,
~ empty(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_77,plain,
~ empty(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_78,plain,
relation_non_empty(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_79,plain,
relation_empty_yielding(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_80,plain,
relation_empty_yielding(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_81,plain,
relation_empty_yielding(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_82,plain,
one_to_one(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_83,plain,
relation(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_84,plain,
relation(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_85,plain,
relation(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_86,plain,
relation(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_87,plain,
relation(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_88,plain,
relation(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_89,plain,
relation(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_90,plain,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_91,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_92,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_93,plain,
function(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_94,plain,
function(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_95,plain,
function(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_96,plain,
function(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_97,plain,
function(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_98,plain,
empty(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_99,plain,
empty(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_100,plain,
empty(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_101,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_102,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_103,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_104,axiom,
X1 = X1 ).
cnf(i_0_105,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_106,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_107,axiom,
( X1 != X2
| esk1_4(X1,X3,X4,X5) = esk1_4(X2,X3,X4,X5) ) ).
cnf(i_0_108,axiom,
( X1 != X2
| esk1_4(X3,X1,X4,X5) = esk1_4(X3,X2,X4,X5) ) ).
cnf(i_0_109,axiom,
( X1 != X2
| esk1_4(X3,X4,X1,X5) = esk1_4(X3,X4,X2,X5) ) ).
cnf(i_0_110,axiom,
( X1 != X2
| esk1_4(X3,X4,X5,X1) = esk1_4(X3,X4,X5,X2) ) ).
cnf(i_0_111,axiom,
( X1 != X2
| unordered_triple(X1,X3,X4) = unordered_triple(X2,X3,X4) ) ).
cnf(i_0_112,axiom,
( X1 != X2
| unordered_triple(X3,X1,X4) = unordered_triple(X3,X2,X4) ) ).
cnf(i_0_113,axiom,
( X1 != X2
| unordered_triple(X3,X4,X1) = unordered_triple(X3,X4,X2) ) ).
cnf(i_0_114,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_115,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_116,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_117,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_118,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_119,axiom,
( X1 != X2
| ~ one_to_one(X1)
| one_to_one(X2) ) ).
cnf(i_0_120,axiom,
( X1 != X2
| ~ relation(X1)
| relation(X2) ) ).
cnf(i_0_121,axiom,
( X1 != X2
| ~ function(X1)
| function(X2) ) ).
cnf(i_0_122,axiom,
( X1 != X2
| ~ relation_non_empty(X1)
| relation_non_empty(X2) ) ).
cnf(i_0_123,axiom,
( X1 != X2
| ~ relation_empty_yielding(X1)
| relation_empty_yielding(X2) ) ).
cnf(i_0_2875,plain,
~ in(X1,esk6_0),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_2878,plain,
~ in(X1,esk6_0),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_2884,plain,
unordered_triple(esk5_0,X1,X2) = unordered_triple(empty_set,X1,X2),
inference(rename_variables,[],[i_0_2836]) ).
cnf(i_0_2896,plain,
esk1_4(esk5_0,X1,X2,X3) = esk1_4(empty_set,X1,X2,X3),
inference(rename_variables,[],[i_0_2832]) ).
cnf(i_0_2897,plain,
esk1_4(X1,esk5_0,X2,X3) = esk1_4(X1,empty_set,X2,X3),
inference(rename_variables,[],[i_0_2833]) ).
cnf(i_0_2923,plain,
esk1_4(X1,X2,esk5_0,X3) = esk1_4(X1,X2,empty_set,X3),
inference(rename_variables,[],[i_0_2834]) ).
cnf(i_0_2941,plain,
unordered_triple(X1,X2,esk5_0) = unordered_triple(X1,X2,empty_set),
inference(rename_variables,[],[i_0_2838]) ).
cnf(i_0_2958,plain,
esk1_4(X1,X2,X3,esk5_0) = esk1_4(X1,X2,X3,empty_set),
inference(rename_variables,[],[i_0_2835]) ).
cnf(i_0_3016,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_184]) ).
cnf(i_0_3034,plain,
unordered_triple(esk5_0,X1,X2) = unordered_triple(empty_set,X1,X2),
inference(rename_variables,[],[i_0_2836]) ).
cnf(i_0_3038,plain,
unordered_triple(esk5_0,X1,X2) = unordered_triple(empty_set,X1,X2),
inference(rename_variables,[],[i_0_2836]) ).
cnf(i_0_3049,plain,
unordered_triple(X1,X2,esk5_0) = unordered_triple(X1,X2,empty_set),
inference(rename_variables,[],[i_0_2838]) ).
cnf(i_0_3051,plain,
~ in(X1,esk4_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_3083,plain,
~ in(X1,esk6_0),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_3112,plain,
unordered_triple(esk5_0,X1,X2) = unordered_triple(empty_set,X1,X2),
inference(rename_variables,[],[i_0_2836]) ).
cnf(i_0_3131,plain,
esk1_4(X1,X2,X3,esk5_0) = esk1_4(X1,X2,X3,empty_set),
inference(rename_variables,[],[i_0_2835]) ).
cnf(i_0_3143,plain,
unordered_triple(X1,X2,esk5_0) = unordered_triple(X1,X2,empty_set),
inference(rename_variables,[],[i_0_2838]) ).
cnf(i_0_3145,plain,
unordered_triple(X1,X2,esk5_0) = unordered_triple(X1,X2,empty_set),
inference(rename_variables,[],[i_0_2838]) ).
cnf(i_0_3160,plain,
esk1_4(X1,X2,esk5_0,X3) = esk1_4(X1,X2,empty_set,X3),
inference(rename_variables,[],[i_0_2834]) ).
cnf(i_0_3173,plain,
unordered_triple(X1,esk5_0,X2) = unordered_triple(X1,empty_set,X2),
inference(rename_variables,[],[i_0_2837]) ).
cnf(i_0_3224,plain,
unordered_triple(esk5_0,X1,X2) = unordered_triple(empty_set,X1,X2),
inference(rename_variables,[],[i_0_2836]) ).
cnf(i_0_3258,plain,
unordered_triple(X1,X2,esk5_0) = unordered_triple(X1,X2,empty_set),
inference(rename_variables,[],[i_0_2838]) ).
cnf(i_0_3263,plain,
unordered_triple(X1,esk5_0,X2) = unordered_triple(X1,empty_set,X2),
inference(rename_variables,[],[i_0_2837]) ).
cnf(i_0_3319,plain,
unordered_triple(esk5_0,X1,X2) = unordered_triple(empty_set,X1,X2),
inference(rename_variables,[],[i_0_2836]) ).
cnf(i_0_3337,plain,
esk1_4(esk5_0,X1,X2,X3) = esk1_4(empty_set,X1,X2,X3),
inference(rename_variables,[],[i_0_2832]) ).
cnf(i_0_3348,plain,
unordered_triple(X1,X2,esk5_0) = unordered_triple(X1,X2,empty_set),
inference(rename_variables,[],[i_0_2838]) ).
cnf(i_0_3405,plain,
unordered_triple(X1,esk5_0,X2) = unordered_triple(X1,empty_set,X2),
inference(rename_variables,[],[i_0_2837]) ).
cnf(i_0_3441,plain,
unordered_triple(X1,X2,esk5_0) = unordered_triple(X1,X2,empty_set),
inference(rename_variables,[],[i_0_2838]) ).
cnf(i_0_3525,plain,
unordered_triple(esk5_0,X1,X2) = unordered_triple(empty_set,X1,X2),
inference(rename_variables,[],[i_0_2836]) ).
cnf(i_0_3530,plain,
unordered_triple(esk5_0,X1,X2) = unordered_triple(empty_set,X1,X2),
inference(rename_variables,[],[i_0_2836]) ).
cnf(i_0_3551,plain,
unordered_triple(X1,esk5_0,X2) = unordered_triple(X1,empty_set,X2),
inference(rename_variables,[],[i_0_2837]) ).
cnf(i_0_3616,plain,
unordered_triple(X1,X2,esk5_0) = unordered_triple(X1,X2,empty_set),
inference(rename_variables,[],[i_0_2838]) ).
cnf(i_0_174,plain,
one_to_one(esk6_0),
inference(equality_inference,[],[170]) ).
cnf(i_0_175,plain,
relation(esk11_0),
inference(equality_inference,[],[171]) ).
cnf(i_0_176,plain,
function(esk11_0),
inference(equality_inference,[],[172]) ).
cnf(i_0_177,plain,
relation_empty_yielding(esk10_0),
inference(equality_inference,[],[173]) ).
cnf(i_0_221,plain,
in(esk2_1(esk13_0),esk13_0),
inference(scs_inference,[],[i_0_68,i_0_161,i_0_209,i_0_63,i_0_64]) ).
cnf(i_0_224,plain,
esk6_0 != esk13_0,
inference(scs_inference,[],[i_0_98,i_0_68,i_0_161,i_0_209,i_0_63,i_0_64,i_0_116]) ).
cnf(i_0_225,plain,
esk13_0 != esk14_0,
inference(scs_inference,[],[i_0_72,i_0_153,i_0_98,i_0_68,i_0_161,i_0_209,i_0_63,i_0_64,i_0_116,i_0_115]) ).
cnf(i_0_249,plain,
esk13_0 != esk5_0,
inference(scs_inference,[],[i_0_72,i_0_202,i_0_99,i_0_76,i_0_116,i_0_115]) ).
cnf(i_0_250,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_265,plain,
empty_set != esk13_0,
inference(scs_inference,[],[i_0_103,i_0_209,i_0_116]) ).
cnf(i_0_282,plain,
esk5_0 != esk13_0,
inference(scs_inference,[],[i_0_99,i_0_209,i_0_116]) ).
cnf(i_0_398,plain,
in(esk2_1(esk15_0),esk15_0),
inference(scs_inference,[],[i_0_68,i_0_395,i_0_64]) ).
cnf(i_0_401,plain,
esk6_0 != esk15_0,
inference(scs_inference,[],[i_0_98,i_0_68,i_0_395,i_0_64,i_0_116]) ).
cnf(i_0_402,plain,
esk15_0 != esk5_0,
inference(scs_inference,[],[i_0_73,i_0_202,i_0_98,i_0_68,i_0_395,i_0_64,i_0_116,i_0_115]) ).
cnf(i_0_403,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_404,plain,
~ in(esk15_0,esk2_1(esk15_0)),
inference(scs_inference,[],[i_0_73,i_0_202,i_0_98,i_0_68,i_0_395,i_0_64,i_0_116,i_0_115,i_0_63]) ).
cnf(i_0_410,plain,
esk4_0 != esk15_0,
inference(scs_inference,[],[i_0_100,i_0_395,i_0_116]) ).
cnf(i_0_414,plain,
empty_set != esk15_0,
inference(scs_inference,[],[i_0_103,i_0_395,i_0_116]) ).
cnf(i_0_417,plain,
esk5_0 != esk15_0,
inference(scs_inference,[],[i_0_99,i_0_395,i_0_116]) ).
cnf(i_0_538,plain,
in(esk2_1(esk14_0),esk14_0),
inference(scs_inference,[],[i_0_68,i_0_535,i_0_64]) ).
cnf(i_0_541,plain,
esk6_0 != esk14_0,
inference(scs_inference,[],[i_0_98,i_0_68,i_0_535,i_0_64,i_0_116]) ).
cnf(i_0_542,plain,
esk14_0 != esk5_0,
inference(scs_inference,[],[i_0_74,i_0_202,i_0_98,i_0_68,i_0_535,i_0_64,i_0_116,i_0_115]) ).
cnf(i_0_543,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_544,plain,
~ in(esk14_0,esk2_1(esk14_0)),
inference(scs_inference,[],[i_0_74,i_0_202,i_0_98,i_0_68,i_0_535,i_0_64,i_0_116,i_0_115,i_0_63]) ).
cnf(i_0_550,plain,
esk4_0 != esk14_0,
inference(scs_inference,[],[i_0_100,i_0_535,i_0_116]) ).
cnf(i_0_554,plain,
empty_set != esk14_0,
inference(scs_inference,[],[i_0_103,i_0_535,i_0_116]) ).
cnf(i_0_557,plain,
esk5_0 != esk14_0,
inference(scs_inference,[],[i_0_99,i_0_535,i_0_116]) ).
cnf(i_0_2760,plain,
esk5_0 != unordered_triple(empty_set,X1,X2),
inference(scs_inference,[],[i_0_72,i_0_137,i_0_202,i_0_68,i_0_98,i_0_105,i_0_62,i_0_75,i_0_63,i_0_118,i_0_58,i_0_59]) ).
cnf(i_0_2761,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_2764,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_2767,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_2789,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_2977,plain,
~ in(X1,esk5_0),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_196,plain,
one_to_one(esk4_0),
inference(equality_inference,[],[192]) ).
cnf(i_0_197,plain,
relation(esk10_0),
inference(equality_inference,[],[193]) ).
cnf(i_0_198,plain,
function(esk9_0),
inference(equality_inference,[],[194]) ).
cnf(i_0_199,plain,
relation_empty_yielding(empty_set),
inference(equality_inference,[],[195]) ).
cnf(i_0_215,plain,
one_to_one(empty_set),
inference(equality_inference,[],[211]) ).
cnf(i_0_216,plain,
relation(esk9_0),
inference(equality_inference,[],[212]) ).
cnf(i_0_217,plain,
function(esk3_0),
inference(equality_inference,[],[213]) ).
cnf(i_0_218,plain,
~ in(esk8_0,esk2_1(esk8_0)),
inference(equality_inference,[],[214]) ).
cnf(i_0_232,plain,
one_to_one(esk5_0),
inference(equality_inference,[],[226]) ).
cnf(i_0_233,plain,
relation(esk7_0),
inference(equality_inference,[],[227]) ).
cnf(i_0_234,plain,
function(esk4_0),
inference(equality_inference,[],[228]) ).
cnf(i_0_235,plain,
~ in(esk7_0,esk2_1(esk7_0)),
inference(equality_inference,[],[229]) ).
cnf(i_0_236,plain,
~ in(esk13_0,esk2_1(esk13_0)),
inference(scs_inference,[],[i_0_221,i_0_63]) ).
cnf(i_0_238,plain,
esk4_0 != esk13_0,
inference(scs_inference,[],[i_0_100,i_0_221,i_0_209,i_0_63,i_0_116]) ).
cnf(i_0_239,plain,
esk15_0 != esk13_0,
inference(scs_inference,[],[i_0_73,i_0_178,i_0_100,i_0_221,i_0_209,i_0_63,i_0_116,i_0_115]) ).
cnf(i_0_255,plain,
function(esk6_0),
inference(equality_inference,[],[251]) ).
cnf(i_0_256,plain,
relation(esk4_0),
inference(equality_inference,[],[252]) ).
cnf(i_0_270,plain,
relation(esk5_0),
inference(equality_inference,[],[266]) ).
cnf(i_0_271,plain,
~ in(esk8_0,esk2_1(esk8_0)),
inference(equality_inference,[],[267]) ).
cnf(i_0_278,plain,
~ in(esk7_0,esk2_1(esk7_0)),
inference(equality_inference,[],[274]) ).
cnf(i_0_409,plain,
~ in(esk15_0,esk2_1(esk15_0)),
inference(equality_inference,[],[406]) ).
cnf(i_0_411,plain,
esk13_0 != esk2_1(esk15_0),
inference(scs_inference,[],[i_0_72,i_0_404,i_0_100,i_0_395,i_0_116,i_0_115]) ).
cnf(i_0_549,plain,
~ in(esk14_0,esk2_1(esk14_0)),
inference(equality_inference,[],[546]) ).
cnf(i_0_551,plain,
esk15_0 != esk2_1(esk14_0),
inference(scs_inference,[],[i_0_73,i_0_544,i_0_100,i_0_535,i_0_116,i_0_115]) ).
cnf(i_0_2763,plain,
esk5_0 != unordered_triple(X1,empty_set,X2),
inference(scs_inference,[],[i_0_72,i_0_137,i_0_202,i_0_2761,i_0_68,i_0_98,i_0_105,i_0_62,i_0_75,i_0_63,i_0_118,i_0_58,i_0_59,i_0_60]) ).
cnf(i_0_2766,plain,
esk5_0 != unordered_triple(X1,X2,empty_set),
inference(scs_inference,[],[i_0_72,i_0_137,i_0_202,i_0_2761,i_0_2764,i_0_68,i_0_98,i_0_105,i_0_62,i_0_75,i_0_63,i_0_118,i_0_58,i_0_59,i_0_60,i_0_61]) ).
cnf(i_0_2769,plain,
~ element(esk14_0,esk13_0),
inference(scs_inference,[],[i_0_72,i_0_137,i_0_178,i_0_202,i_0_2761,i_0_2764,i_0_209,i_0_68,i_0_98,i_0_105,i_0_62,i_0_75,i_0_63,i_0_118,i_0_58,i_0_59,i_0_60,i_0_61,i_0_64]) ).
cnf(c_0_84,plain,
( X1 = X2
| X1 = X3
| X1 = X4
| ~ in(X1,X5)
| X5 != unordered_triple(X2,X3,X4) ),
i_0_57 ).
cnf(c_0_85,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_triple(X4,X5,X3) ),
i_0_61 ).
cnf(c_0_86,plain,
( X1 = X2
| X1 = X3
| X1 = X4
| ~ in(X1,unordered_triple(X4,X3,X2)) ),
inference(er,[status(thm)],[c_0_84]) ).
cnf(c_0_87,plain,
( in(esk16_2(X1,X2),X2)
| ~ in(X1,X2) ),
i_0_62 ).
cnf(c_0_88,plain,
( in(X1,X2)
| X2 != unordered_triple(X3,X4,X1) ),
inference(er,[status(thm)],[c_0_85]) ).
cnf(c_0_89,plain,
( esk16_2(X1,unordered_triple(X2,X3,X4)) = X2
| esk16_2(X1,unordered_triple(X2,X3,X4)) = X3
| esk16_2(X1,unordered_triple(X2,X3,X4)) = X4
| ~ in(X1,unordered_triple(X2,X3,X4)) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_90,plain,
in(X1,unordered_triple(X2,X3,X1)),
inference(er,[status(thm)],[c_0_88]) ).
cnf(c_0_91,plain,
( ~ in(X1,X2)
| ~ in(X1,esk16_2(X3,X2))
| ~ in(X3,X2) ),
i_0_58 ).
cnf(c_0_92,plain,
( esk16_2(X1,unordered_triple(X2,X3,X1)) = X1
| esk16_2(X1,unordered_triple(X2,X3,X1)) = X3
| esk16_2(X1,unordered_triple(X2,X3,X1)) = X2 ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_93,plain,
( esk16_2(X1,unordered_triple(X2,X3,X1)) = X3
| esk16_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_91,c_0_92]),c_0_90])]) ).
cnf(c_0_94,plain,
( esk16_2(X1,unordered_triple(X2,X3,X1)) = X1
| esk16_2(X1,unordered_triple(X2,X3,X1)) = X3
| ~ in(X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_90]) ).
cnf(c_0_95,negated_conjecture,
in(esk14_0,esk15_0),
i_0_73 ).
cnf(c_0_96,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_triple(X3,X4,X5) ),
i_0_59 ).
cnf(c_0_97,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_triple(X4,X3,X5) ),
i_0_60 ).
cnf(c_0_98,negated_conjecture,
( esk16_2(esk14_0,unordered_triple(esk15_0,X1,esk14_0)) = esk14_0
| esk16_2(esk14_0,unordered_triple(esk15_0,X1,esk14_0)) = X1 ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,plain,
( in(X1,X2)
| X2 != unordered_triple(X1,X3,X4) ),
inference(er,[status(thm)],[c_0_96]) ).
cnf(c_0_100,plain,
( in(X1,X2)
| X2 != unordered_triple(X3,X1,X4) ),
inference(er,[status(thm)],[c_0_97]) ).
cnf(c_0_101,negated_conjecture,
( esk16_2(esk14_0,unordered_triple(esk15_0,X1,esk14_0)) = esk14_0
| X1 != esk14_0 ),
inference(ef,[status(thm)],[c_0_98]) ).
cnf(c_0_102,plain,
( esk16_2(esk14_0,unordered_triple(esk15_0,X1,esk14_0)) = esk14_0
| ~ in(X2,unordered_triple(esk15_0,X1,esk14_0))
| ~ in(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_98]),c_0_90])]) ).
cnf(c_0_103,plain,
in(X1,unordered_triple(X1,X2,X3)),
inference(er,[status(thm)],[c_0_99]) ).
cnf(c_0_104,plain,
( esk16_2(esk14_0,unordered_triple(esk15_0,X1,esk14_0)) = X1
| ~ in(X2,unordered_triple(esk15_0,X1,esk14_0))
| ~ in(X2,esk14_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_98]),c_0_90])]) ).
cnf(c_0_105,plain,
in(X1,unordered_triple(X2,X1,X3)),
inference(er,[status(thm)],[c_0_100]) ).
cnf(c_0_106,plain,
( X1 != esk14_0
| ~ in(X2,unordered_triple(esk15_0,X1,esk14_0))
| ~ in(X2,esk14_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_101]),c_0_90])]) ).
cnf(c_0_107,plain,
( esk16_2(esk14_0,unordered_triple(esk15_0,X1,esk14_0)) = esk14_0
| ~ in(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_108,plain,
( esk16_2(esk14_0,unordered_triple(esk15_0,X1,esk14_0)) = X1
| ~ in(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,plain,
( X1 != esk14_0
| ~ in(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_105]) ).
cnf(c_0_110,plain,
( ~ in(esk15_0,X1)
| ~ in(X1,esk14_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).
cnf(c_0_111,negated_conjecture,
in(esk15_0,esk13_0),
i_0_72 ).
cnf(c_0_112,negated_conjecture,
in(esk13_0,esk14_0),
i_0_74 ).
cnf(c_0_113,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU229+3 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n021.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 02:51:25 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 129.25/94.36 % Version : CSE_E---1.7
% 129.25/94.36 % Problem : theBenchmark.p
% 129.25/94.36 % SZS status Theorem for theBenchmark.p
% 129.25/94.36 % SZS output start CNFRefutation
% See solution above
% 130.75/95.87 % Total time : 93.725s
%------------------------------------------------------------------------------