%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUN062+2 : TPTP v9.2.1. Released v7.3.0.
% 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 : n031.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 05:00:48 PM UTC 2026
% Result : Theorem 0.29s 1.62s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_25)
% Comments :
%------------------------------------------------------------------------------
fof(infiniteNumbers,conjecture,
! [X14] :
? [X22,X39] :
( ! [X16] :
( ~ r1(X16)
| X39 != X16 )
& ? [X23] :
( r3(X14,X39,X23)
& X23 = X22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infiniteNumbers) ).
fof(axiom_2a,axiom,
! [X20,X21] :
? [X22] :
( ? [X23] :
( ? [X24] :
( r2(X21,X24)
& r4(X20,X24,X23) )
& X23 = X22 )
& ? [X25] :
( r3(X25,X20,X22)
& r4(X20,X21,X25) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
fof(axiom_1a,axiom,
! [X14,X15] :
? [X16] :
( ? [X17] :
( ? [X18] :
( r2(X15,X18)
& r3(X14,X18,X17) )
& X17 = X16 )
& ? [X19] :
( r2(X19,X16)
& r3(X14,X15,X19) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
fof(axiom_4,axiom,
! [X10,X11] :
? [X12] :
! [X13] :
( ( ~ r4(X10,X11,X13)
& X13 != X12 )
| ( r4(X10,X11,X13)
& X13 = X12 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
fof(axiom_3,axiom,
! [X6,X7] :
? [X8] :
! [X9] :
( ( ~ r3(X6,X7,X9)
& X9 != X8 )
| ( r3(X6,X7,X9)
& X9 = X8 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_3) ).
fof(axiom_4a,axiom,
! [X30] :
? [X31] :
( ? [X32] :
( r1(X32)
& r3(X30,X32,X31) )
& X31 = X30 ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
fof(axiom_3a,axiom,
! [X26,X27] :
( ! [X28] :
( ! [X29] :
( ~ r2(X26,X29)
| X29 != X28 )
| ~ r2(X27,X28) )
| X26 = X27 ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_3a) ).
fof(axiom_7a,axiom,
! [X41,X42] :
( ! [X43] :
( ~ r1(X43)
| X43 != X42 )
| ~ r2(X41,X42) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_7a) ).
fof(axiom_2,axiom,
! [X3] :
? [X4] :
! [X5] :
( ( ~ r2(X3,X5)
& X5 != X4 )
| ( r2(X3,X5)
& X5 = X4 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
fof(axiom_5a,axiom,
! [X33] :
? [X34] :
( ? [X35] :
( r1(X35)
& r4(X33,X35,X34) )
& ? [X36] :
( r1(X36)
& X34 = X36 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
fof(axiom_6a,axiom,
! [X37] :
( ? [X38] :
( r1(X38)
& X37 = X38 )
| ? [X39,X40] :
( r2(X39,X40)
& X37 = X40 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_6a) ).
fof(i_0_12,negated_conjecture,
~ ! [X14] :
? [X22,X39] :
( ! [X16] :
( ~ r1(X16)
| X39 != X16 )
& ? [X23] :
( r3(X14,X39,X23)
& X23 = X22 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[infiniteNumbers])]) ).
fof(i_0_13,plain,
! [X111,X112] :
( r2(X112,esk11_2(X111,X112))
& r4(X111,esk11_2(X111,X112),esk10_2(X111,X112))
& esk10_2(X111,X112) = esk9_2(X111,X112)
& r3(esk12_2(X111,X112),X111,esk9_2(X111,X112))
& r4(X111,X112,esk12_2(X111,X112)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_2a])]) ).
fof(i_0_14,plain,
! [X105,X106] :
( r2(X106,esk7_2(X105,X106))
& r3(X105,esk7_2(X105,X106),esk6_2(X105,X106))
& esk6_2(X105,X106) = esk5_2(X105,X106)
& r2(esk8_2(X105,X106),esk5_2(X105,X106))
& r3(X105,X106,esk8_2(X105,X106)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_1a])]) ).
fof(i_0_15,plain,
! [X10,X11] :
? [X12] :
! [X13] :
( ( ~ r4(X10,X11,X13)
& X13 != X12 )
| ( r4(X10,X11,X13)
& X13 = X12 ) ),
inference(fof_simplification,[status(thm)],[axiom_4]) ).
fof(i_0_16,plain,
! [X6,X7] :
? [X8] :
! [X9] :
( ( ~ r3(X6,X7,X9)
& X9 != X8 )
| ( r3(X6,X7,X9)
& X9 = X8 ) ),
inference(fof_simplification,[status(thm)],[axiom_3]) ).
fof(i_0_17,plain,
! [X121] :
( r1(esk14_1(X121))
& r3(X121,esk14_1(X121),esk13_1(X121))
& esk13_1(X121) = X121 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_4a])]) ).
fof(i_0_18,plain,
! [X26,X27] :
( ! [X28] :
( ! [X29] :
( ~ r2(X26,X29)
| X29 != X28 )
| ~ r2(X27,X28) )
| X26 = X27 ),
inference(fof_simplification,[status(thm)],[axiom_3a]) ).
fof(i_0_19,plain,
! [X41,X42] :
( ! [X43] :
( ~ r1(X43)
| X43 != X42 )
| ~ r2(X41,X42) ),
inference(fof_simplification,[status(thm)],[axiom_7a]) ).
fof(i_0_20,plain,
! [X3] :
? [X4] :
! [X5] :
( ( ~ r2(X3,X5)
& X5 != X4 )
| ( r2(X3,X5)
& X5 = X4 ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
fof(i_0_21,plain,
! [X124] :
( r1(esk16_1(X124))
& r4(X124,esk16_1(X124),esk15_1(X124))
& r1(esk17_1(X124))
& esk15_1(X124) = esk17_1(X124) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_5a])]) ).
fof(i_0_22,plain,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(i_0_23,negated_conjecture,
! [X136,X137,X139] :
( ( r1(esk22_2(X136,X137))
| ~ r3(esk21_0,X137,X139)
| X139 != X136 )
& ( X137 = esk22_2(X136,X137)
| ~ r3(esk21_0,X137,X139)
| X139 != X136 ) ),
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_12])])])])]) ).
cnf(i_0_24,plain,
r4(X1,esk11_2(X1,X2),esk10_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_13]) ).
cnf(i_0_25,plain,
esk10_2(X1,X2) = esk9_2(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_13]) ).
cnf(i_0_26,plain,
r3(X1,esk7_2(X1,X2),esk6_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_14]) ).
cnf(i_0_27,plain,
esk6_2(X1,X2) = esk5_2(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_14]) ).
fof(i_0_28,plain,
! [X101,X102,X104] :
( ( r4(X101,X102,X104)
| ~ r4(X101,X102,X104) )
& ( X104 = esk4_2(X101,X102)
| ~ r4(X101,X102,X104) )
& ( r4(X101,X102,X104)
| X104 != esk4_2(X101,X102) )
& ( X104 = esk4_2(X101,X102)
| X104 != esk4_2(X101,X102) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_15])])]) ).
fof(i_0_29,plain,
! [X97,X98,X100] :
( ( r3(X97,X98,X100)
| ~ r3(X97,X98,X100) )
& ( X100 = esk3_2(X97,X98)
| ~ r3(X97,X98,X100) )
& ( r3(X97,X98,X100)
| X100 != esk3_2(X97,X98) )
& ( X100 = esk3_2(X97,X98)
| X100 != esk3_2(X97,X98) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_16])])]) ).
cnf(i_0_30,plain,
r3(X1,esk14_1(X1),esk13_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_17]) ).
cnf(i_0_31,plain,
esk13_1(X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_17]) ).
fof(i_0_32,plain,
! [X117,X118,X119,X120] :
( ~ r2(X117,X120)
| X120 != X119
| ~ r2(X118,X119)
| X117 = X118 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[i_0_18])]) ).
fof(i_0_33,plain,
! [X128] :
( ( r2(esk19_1(X128),esk20_1(X128))
| r1(esk18_1(X128)) )
& ( X128 = esk20_1(X128)
| r1(esk18_1(X128)) )
& ( r2(esk19_1(X128),esk20_1(X128))
| X128 = esk18_1(X128) )
& ( X128 = esk20_1(X128)
| X128 = esk18_1(X128) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_6a])])]) ).
fof(i_0_34,plain,
! [X132,X133,X134] :
( ~ r1(X134)
| X134 != X133
| ~ r2(X132,X133) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[i_0_19])]) ).
fof(i_0_35,plain,
! [X94,X96] :
( ( r2(X94,X96)
| ~ r2(X94,X96) )
& ( X96 = esk2_1(X94)
| ~ r2(X94,X96) )
& ( r2(X94,X96)
| X96 != esk2_1(X94) )
& ( X96 = esk2_1(X94)
| X96 != esk2_1(X94) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_20])])]) ).
cnf(i_0_36,plain,
r1(esk17_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_21]) ).
cnf(i_0_37,plain,
esk15_1(X1) = esk17_1(X1),
inference(split_conjunct,[status(thm)],[i_0_21]) ).
fof(i_0_38,plain,
! [X93] :
( ( r1(X93)
| ~ r1(X93) )
& ( X93 = esk1_0
| ~ r1(X93) )
& ( r1(X93)
| X93 != esk1_0 )
& ( X93 = esk1_0
| X93 != esk1_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_22])])]) ).
cnf(i_0_39,negated_conjecture,
( r1(esk22_2(X1,X2))
| ~ r3(esk21_0,X2,X3)
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_40,plain,
r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_41,plain,
r4(X1,esk11_2(X1,X2),esk9_2(X1,X2)),
inference(rw,[status(thm)],[i_0_24,c_0_25]),
[final] ).
cnf(i_0_42,plain,
r3(X1,esk7_2(X1,X2),esk5_2(X1,X2)),
inference(rw,[status(thm)],[i_0_26,c_0_27]),
[final] ).
cnf(i_0_43,negated_conjecture,
( X1 = esk22_2(X2,X1)
| ~ r3(esk21_0,X1,X3)
| X3 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_44,plain,
( X1 = esk4_2(X2,X3)
| ~ r4(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_28]),
[final] ).
cnf(i_0_45,plain,
( X1 = esk3_2(X2,X3)
| ~ r3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_46,plain,
r4(X1,X2,esk12_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_47,plain,
r3(X1,X2,esk8_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_48,plain,
( r4(X1,X2,X3)
| X3 != esk4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_28]),
[final] ).
cnf(i_0_49,plain,
( r3(X1,X2,X3)
| X3 != esk3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_50,plain,
r4(X1,esk16_1(X1),esk15_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_21]),
[final] ).
cnf(i_0_51,plain,
r2(esk8_2(X1,X2),esk5_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_52,plain,
r3(X1,esk14_1(X1),X1),
inference(rw,[status(thm)],[i_0_30,c_0_31]),
[final] ).
cnf(i_0_53,plain,
( X1 = X4
| ~ r2(X1,X2)
| X2 != X3
| ~ r2(X4,X3) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_54,plain,
r2(X1,esk11_2(X2,X1)),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_55,plain,
r2(X1,esk7_2(X2,X1)),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_56,plain,
( r2(esk19_1(X1),esk20_1(X1))
| r1(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_57,plain,
( ~ r1(X1)
| X1 != X2
| ~ r2(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_58,plain,
( r2(esk19_1(X1),esk20_1(X1))
| X1 = esk18_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_59,plain,
( X1 = esk2_1(X2)
| ~ r2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_60,plain,
( r2(X1,X2)
| X2 != esk2_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_61,plain,
( X1 = esk20_1(X1)
| r1(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_62,plain,
( X1 = esk20_1(X1)
| X1 = esk18_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_63,plain,
r1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_21]),
[final] ).
cnf(i_0_64,plain,
r1(esk15_1(X1)),
inference(rw,[status(thm)],[i_0_36,c_0_37]),
[final] ).
cnf(i_0_65,plain,
r1(esk14_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_66,plain,
( X1 = esk1_0
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_38]),
[final] ).
cnf(i_0_67,plain,
( r1(X1)
| X1 != esk1_0 ),
inference(split_conjunct,[status(thm)],[i_0_38]),
[final] ).
cnf(i_0_68,axiom,
X1 = X1 ).
cnf(i_0_69,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_70,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_71,axiom,
( X1 != X2
| esk22_2(X1,X3) = esk22_2(X2,X3) ) ).
cnf(i_0_72,axiom,
( X1 != X2
| esk22_2(X3,X1) = esk22_2(X3,X2) ) ).
cnf(i_0_73,axiom,
( X1 != X2
| esk20_1(X1) = esk20_1(X2) ) ).
cnf(i_0_74,axiom,
( X1 != X2
| esk18_1(X1) = esk18_1(X2) ) ).
cnf(i_0_75,axiom,
( X1 != X2
| esk2_1(X1) = esk2_1(X2) ) ).
cnf(i_0_76,axiom,
( X1 != X2
| esk4_2(X1,X3) = esk4_2(X2,X3) ) ).
cnf(i_0_77,axiom,
( X1 != X2
| esk4_2(X3,X1) = esk4_2(X3,X2) ) ).
cnf(i_0_78,axiom,
( X1 != X2
| esk3_2(X1,X3) = esk3_2(X2,X3) ) ).
cnf(i_0_79,axiom,
( X1 != X2
| esk3_2(X3,X1) = esk3_2(X3,X2) ) ).
cnf(i_0_80,axiom,
( X1 != X2
| ~ r1(X1)
| r1(X2) ) ).
cnf(i_0_81,axiom,
( X1 != X2
| ~ r3(X1,X3,X4)
| r3(X2,X3,X4) ) ).
cnf(i_0_82,axiom,
( X1 != X2
| ~ r3(X3,X1,X4)
| r3(X3,X2,X4) ) ).
cnf(i_0_83,axiom,
( X1 != X2
| ~ r3(X3,X4,X1)
| r3(X3,X4,X2) ) ).
cnf(i_0_84,axiom,
( X1 != X2
| ~ r4(X1,X3,X4)
| r4(X2,X3,X4) ) ).
cnf(i_0_85,axiom,
( X1 != X2
| ~ r4(X3,X1,X4)
| r4(X3,X2,X4) ) ).
cnf(i_0_86,axiom,
( X1 != X2
| ~ r4(X3,X4,X1)
| r4(X3,X4,X2) ) ).
cnf(i_0_87,axiom,
( X1 != X2
| ~ r2(X1,X3)
| r2(X2,X3) ) ).
cnf(i_0_88,axiom,
( X1 != X2
| ~ r2(X3,X1)
| r2(X3,X2) ) ).
cnf(i_0_68_001,axiom,
X1 = X1 ).
cnf(i_0_69_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_70_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_71_004,axiom,
( X1 != X2
| esk22_2(X1,X3) = esk22_2(X2,X3) ) ).
cnf(i_0_72_005,axiom,
( X1 != X2
| esk22_2(X3,X1) = esk22_2(X3,X2) ) ).
cnf(i_0_73_006,axiom,
( X1 != X2
| esk20_1(X1) = esk20_1(X2) ) ).
cnf(i_0_74_007,axiom,
( X1 != X2
| esk18_1(X1) = esk18_1(X2) ) ).
cnf(i_0_75_008,axiom,
( X1 != X2
| esk2_1(X1) = esk2_1(X2) ) ).
cnf(i_0_76_009,axiom,
( X1 != X2
| esk4_2(X1,X3) = esk4_2(X2,X3) ) ).
cnf(i_0_77_010,axiom,
( X1 != X2
| esk4_2(X3,X1) = esk4_2(X3,X2) ) ).
cnf(i_0_78_011,axiom,
( X1 != X2
| esk3_2(X1,X3) = esk3_2(X2,X3) ) ).
cnf(i_0_79_012,axiom,
( X1 != X2
| esk3_2(X3,X1) = esk3_2(X3,X2) ) ).
cnf(i_0_80_013,axiom,
( X1 != X2
| ~ r1(X1)
| r1(X2) ) ).
cnf(i_0_81_014,axiom,
( X1 != X2
| ~ r3(X1,X3,X4)
| r3(X2,X3,X4) ) ).
cnf(i_0_82_015,axiom,
( X1 != X2
| ~ r3(X3,X1,X4)
| r3(X3,X2,X4) ) ).
cnf(i_0_83_016,axiom,
( X1 != X2
| ~ r3(X3,X4,X1)
| r3(X3,X4,X2) ) ).
cnf(i_0_84_017,axiom,
( X1 != X2
| ~ r4(X1,X3,X4)
| r4(X2,X3,X4) ) ).
cnf(i_0_85_018,axiom,
( X1 != X2
| ~ r4(X3,X1,X4)
| r4(X3,X2,X4) ) ).
cnf(i_0_86_019,axiom,
( X1 != X2
| ~ r4(X3,X4,X1)
| r4(X3,X4,X2) ) ).
cnf(i_0_87_020,axiom,
( X1 != X2
| ~ r2(X1,X3)
| r2(X2,X3) ) ).
cnf(i_0_88_021,axiom,
( X1 != X2
| ~ r2(X3,X1)
| r2(X3,X2) ) ).
cnf(i_0_89,plain,
( ~ r3(esk21_0,X1,X2)
| r1(esk22_2(X2,X1)) ),
inference(equality_inference,[],[39]) ).
cnf(i_0_90,plain,
( ~ r3(esk21_0,X1,X2)
| X1 = esk22_2(X2,X1) ),
inference(equality_inference,[],[43]) ).
cnf(i_0_91,plain,
r4(X1,X2,esk4_2(X1,X2)),
inference(equality_inference,[],[48]) ).
cnf(i_0_92,plain,
r3(X1,X2,esk3_2(X1,X2)),
inference(equality_inference,[],[49]) ).
cnf(i_0_93,plain,
( ~ r2(X1,X2)
| X3 = X1
| ~ r2(X3,X2) ),
inference(equality_inference,[],[53]) ).
cnf(i_0_94,plain,
( ~ r1(X1)
| ~ r2(X2,X1) ),
inference(equality_inference,[],[57]) ).
cnf(i_0_95,plain,
r2(X1,esk2_1(X1)),
inference(equality_inference,[],[60]) ).
cnf(i_0_96,plain,
r1(esk1_0),
inference(equality_inference,[],[67]) ).
cnf(i_0_97,plain,
r1(esk22_2(esk3_2(esk21_0,X1),X1)),
inference(scs_inference,[],[i_0_92,i_0_89]) ).
cnf(i_0_98,plain,
r3(X1,X2,esk3_2(X1,X2)),
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_99,plain,
( ~ r3(esk21_0,X1,X2)
| r1(esk22_2(X2,X1)) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_100,plain,
X1 = esk22_2(esk3_2(esk21_0,X1),X1),
inference(scs_inference,[],[i_0_92,i_0_98,i_0_89,i_0_90]) ).
cnf(i_0_101,plain,
r3(X1,X2,esk3_2(X1,X2)),
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_102,plain,
( ~ r3(esk21_0,X1,X2)
| X1 = esk22_2(X2,X1) ),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_103,plain,
~ r2(X1,esk1_0),
inference(scs_inference,[],[i_0_92,i_0_98,i_0_96,i_0_89,i_0_90,i_0_94]) ).
cnf(i_0_104,plain,
( ~ r1(X1)
| ~ r2(X2,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_105,plain,
esk22_2(esk3_2(esk21_0,X1),X1) = X1,
inference(scs_inference,[],[i_0_92,i_0_98,i_0_96,i_0_89,i_0_90,i_0_94,i_0_69]) ).
cnf(i_0_106,plain,
~ r2(X1,esk22_2(esk3_2(esk21_0,esk1_0),esk1_0)),
inference(scs_inference,[],[i_0_92,i_0_98,i_0_96,i_0_89,i_0_90,i_0_94,i_0_69,i_0_57]) ).
cnf(i_0_107,plain,
( ~ r1(X1)
| X1 != X2
| ~ r2(X3,X2) ),
inference(rename_variables,[],[i_0_57]) ).
cnf(i_0_108,plain,
( r1(X1)
| esk16_1(X2) != X1 ),
inference(scs_inference,[],[i_0_92,i_0_98,i_0_96,i_0_63,i_0_89,i_0_90,i_0_94,i_0_69,i_0_57,i_0_80]) ).
cnf(i_0_109,plain,
( X1 = X2
| esk2_1(X1) != esk11_2(X3,X2) ),
inference(scs_inference,[],[i_0_92,i_0_98,i_0_95,i_0_54,i_0_96,i_0_63,i_0_89,i_0_90,i_0_94,i_0_69,i_0_57,i_0_80,i_0_53]) ).
cnf(i_0_110,plain,
( ~ r2(X1,X2)
| X3 = X1
| ~ r2(X3,X4)
| X4 != X2 ),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_111,plain,
r1(esk16_1(X1)),
inference(equality_inference,[],[108]) ).
cnf(i_0_112,plain,
r1(esk22_2(esk21_0,esk14_1(esk21_0))),
inference(scs_inference,[],[i_0_52,i_0_89]) ).
cnf(i_0_113,plain,
r3(X1,esk14_1(X1),X1),
inference(rename_variables,[],[i_0_52]) ).
cnf(i_0_114,plain,
( ~ r3(esk21_0,X1,X2)
| r1(esk22_2(X2,X1)) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_115,plain,
esk14_1(esk21_0) = esk22_2(esk21_0,esk14_1(esk21_0)),
inference(scs_inference,[],[i_0_52,i_0_113,i_0_89,i_0_90]) ).
cnf(i_0_116,plain,
r3(X1,esk14_1(X1),X1),
inference(rename_variables,[],[i_0_52]) ).
cnf(i_0_117,plain,
( ~ r3(esk21_0,X1,X2)
| X1 = esk22_2(X2,X1) ),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_118,plain,
~ r2(X1,esk22_2(esk3_2(esk21_0,X2),X2)),
inference(scs_inference,[],[i_0_97,i_0_52,i_0_113,i_0_89,i_0_90,i_0_94]) ).
cnf(i_0_119,plain,
( ~ r1(X1)
| ~ r2(X2,X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_120,plain,
esk22_2(esk21_0,esk14_1(esk21_0)) = esk14_1(esk21_0),
inference(scs_inference,[],[i_0_97,i_0_52,i_0_113,i_0_89,i_0_90,i_0_94,i_0_69]) ).
cnf(i_0_121,plain,
$false,
inference(scs_inference,[],[i_0_97,i_0_100,i_0_52,i_0_113,i_0_51,i_0_89,i_0_90,i_0_94,i_0_69,i_0_88]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN062+2 : TPTP v9.2.1. Released v7.3.0.
% 0.00/0.12 % 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
% 0.16/0.34 % Computer : n031.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 01:24:09 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 0.29/1.62 % Version : CSE_E---1.7
% 0.29/1.62 % Problem : theBenchmark.p
% 0.29/1.62 % SZS status Theorem for theBenchmark.p
% 0.29/1.62 % SZS output start CNFRefutation
% See solution above
% 0.29/1.69 % Total time : 1.270s
%------------------------------------------------------------------------------