%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUN088+1 : TPTP v9.2.1. Released v7.3.0.
% 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 : n027.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 05:00:54 PM UTC 2026
% Result : Theorem 0.26s 1.60s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 19
% Syntax : Number of formulae : 98 ( 25 unt; 0 def)
% Number of atoms : 371 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 470 ( 197 ~; 183 |; 90 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 4 con; 0-2 aty)
% Number of variables : 261 ( 6 sgn 139 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_11,axiom,
! [X32,X33,X34,X35,X36,X37] :
( ~ id(X32,X35)
| ~ id(X33,X36)
| ~ id(X34,X37)
| ( ~ r4(X32,X33,X34)
& ~ r4(X35,X36,X37) )
| ( r4(X32,X33,X34)
& r4(X35,X36,X37) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_11) ).
fof(axiom_10,axiom,
! [X26,X27,X28,X29,X30,X31] :
( ~ id(X26,X29)
| ~ id(X27,X30)
| ~ id(X28,X31)
| ( ~ r3(X26,X27,X28)
& ~ r3(X29,X30,X31) )
| ( r3(X26,X27,X28)
& r3(X29,X30,X31) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_10) ).
fof(axiom_4,axiom,
! [X10,X11] :
? [X12] :
! [X13] :
( ( id(X13,X12)
& r4(X10,X11,X13) )
| ( ~ r4(X10,X11,X13)
& ~ id(X13,X12) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_4) ).
fof(axiom_3,axiom,
! [X6,X7] :
? [X8] :
! [X9] :
( ( id(X9,X8)
& r3(X6,X7,X9) )
| ( ~ r3(X6,X7,X9)
& ~ id(X9,X8) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_3) ).
fof(axiom_9,axiom,
! [X22,X23,X24,X25] :
( ~ id(X22,X24)
| ~ id(X23,X25)
| ( ~ r2(X22,X23)
& ~ r2(X24,X25) )
| ( r2(X22,X23)
& r2(X24,X25) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_9) ).
fof(axiom_3a,axiom,
! [X50,X51] :
( ! [X52] :
( ! [X53] :
( ~ id(X53,X52)
| ~ r2(X50,X53) )
| ~ r2(X51,X52) )
| id(X50,X51) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_3a) ).
fof(axiom_7,axiom,
! [X17,X18,X19] :
( ~ id(X17,X18)
| id(X17,X19)
| ~ id(X18,X19) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7) ).
fof(axiom_7a,axiom,
! [X65,X66] :
( ! [X67] :
( ~ id(X67,X66)
| ~ r1(X67) )
| ~ r2(X65,X66) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).
fof(axiom_2,axiom,
! [X3] :
? [X4] :
! [X5] :
( ( id(X5,X4)
& r2(X3,X5) )
| ( ~ r2(X3,X5)
& ~ id(X5,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_2) ).
fof(axiom_6,axiom,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
fof(axiom_8,axiom,
! [X20,X21] :
( ~ id(X20,X21)
| ( ~ r1(X20)
& ~ r1(X21) )
| ( r1(X20)
& r1(X21) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_8) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( id(X2,X1)
& r1(X2) )
| ( ~ r1(X2)
& ~ id(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1) ).
fof(zerounidone,conjecture,
! [X63] :
( ! [X46] :
( ~ id(X46,X63)
| ~ r1(X46) )
| ! [X47] :
( ~ r1(X47)
| ~ r2(X47,X63) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerounidone) ).
fof(axiom_2a,axiom,
! [X44,X45] :
? [X46] :
( ? [X47] :
( id(X47,X46)
& ? [X48] :
( r2(X45,X48)
& r4(X44,X48,X47) ) )
& ? [X49] :
( r3(X49,X44,X46)
& r4(X44,X45,X49) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_2a) ).
fof(axiom_1a,axiom,
! [X38,X39] :
? [X40] :
( ? [X41] :
( id(X41,X40)
& ? [X42] :
( r2(X39,X42)
& r3(X38,X42,X41) ) )
& ? [X43] :
( r2(X43,X40)
& r3(X38,X39,X43) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1a) ).
fof(axiom_5a,axiom,
! [X57] :
? [X58] :
( ? [X59] :
( r1(X59)
& r4(X57,X59,X58) )
& ? [X60] :
( id(X58,X60)
& r1(X60) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).
fof(axiom_4a,axiom,
! [X54] :
? [X55] :
( id(X55,X54)
& ? [X56] :
( r1(X56)
& r3(X54,X56,X55) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
fof(axiom_6a,axiom,
! [X61] :
( ? [X62] :
( id(X61,X62)
& r1(X62) )
| ? [X63,X64] :
( id(X61,X64)
& r2(X63,X64) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_6a) ).
fof(axiom_5,axiom,
! [X14] : id(X14,X14),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
fof(i_0_19,plain,
! [X32,X33,X34,X35,X36,X37] :
( ~ id(X32,X35)
| ~ id(X33,X36)
| ~ id(X34,X37)
| ( ~ r4(X32,X33,X34)
& ~ r4(X35,X36,X37) )
| ( r4(X32,X33,X34)
& r4(X35,X36,X37) ) ),
inference(fof_simplification,[status(thm)],[axiom_11]) ).
fof(i_0_20,plain,
! [X26,X27,X28,X29,X30,X31] :
( ~ id(X26,X29)
| ~ id(X27,X30)
| ~ id(X28,X31)
| ( ~ r3(X26,X27,X28)
& ~ r3(X29,X30,X31) )
| ( r3(X26,X27,X28)
& r3(X29,X30,X31) ) ),
inference(fof_simplification,[status(thm)],[axiom_10]) ).
fof(i_0_21,plain,
! [X10,X11] :
? [X12] :
! [X13] :
( ( id(X13,X12)
& r4(X10,X11,X13) )
| ( ~ r4(X10,X11,X13)
& ~ id(X13,X12) ) ),
inference(fof_simplification,[status(thm)],[axiom_4]) ).
fof(i_0_22,plain,
! [X6,X7] :
? [X8] :
! [X9] :
( ( id(X9,X8)
& r3(X6,X7,X9) )
| ( ~ r3(X6,X7,X9)
& ~ id(X9,X8) ) ),
inference(fof_simplification,[status(thm)],[axiom_3]) ).
fof(i_0_23,plain,
! [X22,X23,X24,X25] :
( ~ id(X22,X24)
| ~ id(X23,X25)
| ( ~ r2(X22,X23)
& ~ r2(X24,X25) )
| ( r2(X22,X23)
& r2(X24,X25) ) ),
inference(fof_simplification,[status(thm)],[axiom_9]) ).
fof(i_0_24,plain,
! [X50,X51] :
( ! [X52] :
( ! [X53] :
( ~ id(X53,X52)
| ~ r2(X50,X53) )
| ~ r2(X51,X52) )
| id(X50,X51) ),
inference(fof_simplification,[status(thm)],[axiom_3a]) ).
fof(i_0_25,plain,
! [X17,X18,X19] :
( ~ id(X17,X18)
| id(X17,X19)
| ~ id(X18,X19) ),
inference(fof_simplification,[status(thm)],[axiom_7]) ).
fof(i_0_26,plain,
! [X65,X66] :
( ! [X67] :
( ~ id(X67,X66)
| ~ r1(X67) )
| ~ r2(X65,X66) ),
inference(fof_simplification,[status(thm)],[axiom_7a]) ).
fof(i_0_27,plain,
! [X3] :
? [X4] :
! [X5] :
( ( id(X5,X4)
& r2(X3,X5) )
| ( ~ r2(X3,X5)
& ~ id(X5,X4) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
fof(i_0_28,plain,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
inference(fof_simplification,[status(thm)],[axiom_6]) ).
fof(i_0_29,plain,
! [X20,X21] :
( ~ id(X20,X21)
| ( ~ r1(X20)
& ~ r1(X21) )
| ( r1(X20)
& r1(X21) ) ),
inference(fof_simplification,[status(thm)],[axiom_8]) ).
fof(i_0_30,plain,
? [X1] :
! [X2] :
( ( id(X2,X1)
& r1(X2) )
| ( ~ r1(X2)
& ~ id(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(i_0_31,negated_conjecture,
~ ! [X63] :
( ! [X46] :
( ~ id(X46,X63)
| ~ r1(X46) )
| ! [X47] :
( ~ r1(X47)
| ~ r2(X47,X63) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[zerounidone])]) ).
fof(i_0_32,plain,
! [X169,X170,X171,X172,X173,X174] :
( ( r4(X169,X170,X171)
| ~ r4(X169,X170,X171)
| ~ id(X169,X172)
| ~ id(X170,X173)
| ~ id(X171,X174) )
& ( r4(X172,X173,X174)
| ~ r4(X169,X170,X171)
| ~ id(X169,X172)
| ~ id(X170,X173)
| ~ id(X171,X174) )
& ( r4(X169,X170,X171)
| ~ r4(X172,X173,X174)
| ~ id(X169,X172)
| ~ id(X170,X173)
| ~ id(X171,X174) )
& ( r4(X172,X173,X174)
| ~ r4(X172,X173,X174)
| ~ id(X169,X172)
| ~ id(X170,X173)
| ~ id(X171,X174) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[i_0_19])]) ).
fof(i_0_33,plain,
! [X163,X164,X165,X166,X167,X168] :
( ( r3(X163,X164,X165)
| ~ r3(X163,X164,X165)
| ~ id(X163,X166)
| ~ id(X164,X167)
| ~ id(X165,X168) )
& ( r3(X166,X167,X168)
| ~ r3(X163,X164,X165)
| ~ id(X163,X166)
| ~ id(X164,X167)
| ~ id(X165,X168) )
& ( r3(X163,X164,X165)
| ~ r3(X166,X167,X168)
| ~ id(X163,X166)
| ~ id(X164,X167)
| ~ id(X165,X168) )
& ( r3(X166,X167,X168)
| ~ r3(X166,X167,X168)
| ~ id(X163,X166)
| ~ id(X164,X167)
| ~ id(X165,X168) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[i_0_20])]) ).
fof(i_0_34,plain,
! [X147,X148,X150] :
( ( ~ r4(X147,X148,X150)
| id(X150,esk4_2(X147,X148)) )
& ( ~ id(X150,esk4_2(X147,X148))
| id(X150,esk4_2(X147,X148)) )
& ( ~ r4(X147,X148,X150)
| r4(X147,X148,X150) )
& ( ~ id(X150,esk4_2(X147,X148))
| r4(X147,X148,X150) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_21])])]) ).
fof(i_0_35,plain,
! [X143,X144,X146] :
( ( ~ r3(X143,X144,X146)
| id(X146,esk3_2(X143,X144)) )
& ( ~ id(X146,esk3_2(X143,X144))
| id(X146,esk3_2(X143,X144)) )
& ( ~ r3(X143,X144,X146)
| r3(X143,X144,X146) )
& ( ~ id(X146,esk3_2(X143,X144))
| r3(X143,X144,X146) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_22])])]) ).
fof(i_0_36,plain,
! [X181,X182] :
( id(esk10_2(X181,X182),esk9_2(X181,X182))
& r2(X182,esk11_2(X181,X182))
& r4(X181,esk11_2(X181,X182),esk10_2(X181,X182))
& r3(esk12_2(X181,X182),X181,esk9_2(X181,X182))
& r4(X181,X182,esk12_2(X181,X182)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_2a])]) ).
fof(i_0_37,plain,
! [X175,X176] :
( id(esk6_2(X175,X176),esk5_2(X175,X176))
& r2(X176,esk7_2(X175,X176))
& r3(X175,esk7_2(X175,X176),esk6_2(X175,X176))
& r2(esk8_2(X175,X176),esk5_2(X175,X176))
& r3(X175,X176,esk8_2(X175,X176)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_1a])]) ).
fof(i_0_38,plain,
! [X159,X160,X161,X162] :
( ( r2(X159,X160)
| ~ r2(X159,X160)
| ~ id(X159,X161)
| ~ id(X160,X162) )
& ( r2(X161,X162)
| ~ r2(X159,X160)
| ~ id(X159,X161)
| ~ id(X160,X162) )
& ( r2(X159,X160)
| ~ r2(X161,X162)
| ~ id(X159,X161)
| ~ id(X160,X162) )
& ( r2(X161,X162)
| ~ r2(X161,X162)
| ~ id(X159,X161)
| ~ id(X160,X162) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[i_0_23])]) ).
fof(i_0_39,plain,
! [X187,X188,X189,X190] :
( ~ id(X190,X189)
| ~ r2(X187,X190)
| ~ r2(X188,X189)
| id(X187,X188) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[i_0_24])]) ).
fof(i_0_40,plain,
! [X194] :
( r1(esk16_1(X194))
& r4(X194,esk16_1(X194),esk15_1(X194))
& id(esk15_1(X194),esk17_1(X194))
& r1(esk17_1(X194)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_5a])]) ).
fof(i_0_41,plain,
! [X191] :
( id(esk13_1(X191),X191)
& r1(esk14_1(X191))
& r3(X191,esk14_1(X191),esk13_1(X191)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_4a])]) ).
fof(i_0_42,plain,
! [X154,X155,X156] :
( ~ id(X154,X155)
| id(X154,X156)
| ~ id(X155,X156) ),
inference(variable_rename,[status(thm)],[i_0_25]) ).
fof(i_0_43,plain,
! [X202,X203,X204] :
( ~ id(X204,X203)
| ~ r1(X204)
| ~ r2(X202,X203) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[i_0_26])]) ).
fof(i_0_44,plain,
! [X198] :
( ( id(X198,esk20_1(X198))
| id(X198,esk18_1(X198)) )
& ( r2(esk19_1(X198),esk20_1(X198))
| id(X198,esk18_1(X198)) )
& ( id(X198,esk20_1(X198))
| r1(esk18_1(X198)) )
& ( r2(esk19_1(X198),esk20_1(X198))
| r1(esk18_1(X198)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_6a])])]) ).
fof(i_0_45,plain,
! [X140,X142] :
( ( ~ r2(X140,X142)
| id(X142,esk2_1(X140)) )
& ( ~ id(X142,esk2_1(X140))
| id(X142,esk2_1(X140)) )
& ( ~ r2(X140,X142)
| r2(X140,X142) )
& ( ~ id(X142,esk2_1(X140))
| r2(X140,X142) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_27])])]) ).
fof(i_0_46,plain,
! [X152,X153] :
( ~ id(X152,X153)
| id(X153,X152) ),
inference(variable_rename,[status(thm)],[i_0_28]) ).
fof(i_0_47,plain,
! [X157,X158] :
( ( r1(X157)
| ~ r1(X157)
| ~ id(X157,X158) )
& ( r1(X158)
| ~ r1(X157)
| ~ id(X157,X158) )
& ( r1(X157)
| ~ r1(X158)
| ~ id(X157,X158) )
& ( r1(X158)
| ~ r1(X158)
| ~ id(X157,X158) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[i_0_29])]) ).
fof(i_0_48,plain,
! [X139] :
( ( ~ r1(X139)
| id(X139,esk1_0) )
& ( ~ id(X139,esk1_0)
| id(X139,esk1_0) )
& ( ~ r1(X139)
| r1(X139) )
& ( ~ id(X139,esk1_0)
| r1(X139) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_30])])]) ).
fof(i_0_49,plain,
! [X151] : id(X151,X151),
inference(variable_rename,[status(thm)],[axiom_5]) ).
fof(i_0_50,negated_conjecture,
( id(esk22_0,esk21_0)
& r1(esk22_0)
& r1(esk23_0)
& r2(esk23_0,esk21_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_31])])]) ).
cnf(i_0_51,plain,
( r4(X1,X2,X3)
| ~ r4(X4,X5,X6)
| ~ id(X1,X4)
| ~ id(X2,X5)
| ~ id(X3,X6) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_52,plain,
( r4(X1,X2,X3)
| ~ r4(X4,X5,X6)
| ~ id(X4,X1)
| ~ id(X5,X2)
| ~ id(X6,X3) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_53,plain,
( r3(X1,X2,X3)
| ~ r3(X4,X5,X6)
| ~ id(X1,X4)
| ~ id(X2,X5)
| ~ id(X3,X6) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_54,plain,
( r3(X1,X2,X3)
| ~ r3(X4,X5,X6)
| ~ id(X4,X1)
| ~ id(X5,X2)
| ~ id(X6,X3) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_55,plain,
( id(X3,esk4_2(X1,X2))
| ~ r4(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_56,plain,
( id(X3,esk3_2(X1,X2))
| ~ r3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_57,plain,
( r4(X2,X3,X1)
| ~ id(X1,esk4_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_58,plain,
( r3(X2,X3,X1)
| ~ id(X1,esk3_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_59,plain,
r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_36]),
[final] ).
cnf(i_0_60,plain,
r4(X1,esk11_2(X1,X2),esk10_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_36]),
[final] ).
cnf(i_0_61,plain,
r3(X1,esk7_2(X1,X2),esk6_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_37]),
[final] ).
cnf(i_0_62,plain,
( r2(X1,X2)
| ~ r2(X3,X4)
| ~ id(X1,X3)
| ~ id(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_38]),
[final] ).
cnf(i_0_63,plain,
( r2(X1,X2)
| ~ r2(X3,X4)
| ~ id(X3,X1)
| ~ id(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_38]),
[final] ).
cnf(i_0_64,plain,
( id(X3,X4)
| ~ id(X1,X2)
| ~ r2(X3,X1)
| ~ r2(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_39]),
[final] ).
cnf(i_0_65,plain,
r4(X1,X2,esk12_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_36]),
[final] ).
cnf(i_0_66,plain,
r3(X1,X2,esk8_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_37]),
[final] ).
cnf(i_0_67,plain,
r4(X1,esk16_1(X1),esk15_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_68,plain,
r3(X1,esk14_1(X1),esk13_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_69,plain,
r2(esk8_2(X1,X2),esk5_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_37]),
[final] ).
cnf(i_0_70,plain,
id(esk10_2(X1,X2),esk9_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_36]),
[final] ).
cnf(i_0_71,plain,
id(esk6_2(X1,X2),esk5_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_37]),
[final] ).
cnf(i_0_72,plain,
( id(X1,X3)
| ~ id(X1,X2)
| ~ id(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_73,plain,
( ~ id(X1,X2)
| ~ r1(X1)
| ~ r2(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_74,plain,
( r2(esk19_1(X1),esk20_1(X1))
| id(X1,esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_75,plain,
( r2(X2,X1)
| ~ id(X1,esk2_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_76,plain,
( id(X2,esk2_1(X1))
| ~ r2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_77,plain,
( id(X1,esk20_1(X1))
| id(X1,esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_78,plain,
r2(X1,esk11_2(X2,X1)),
inference(split_conjunct,[status(thm)],[i_0_36]),
[final] ).
cnf(i_0_79,plain,
r2(X1,esk7_2(X2,X1)),
inference(split_conjunct,[status(thm)],[i_0_37]),
[final] ).
cnf(i_0_80,plain,
( r2(esk19_1(X1),esk20_1(X1))
| r1(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_81,plain,
( id(X2,X1)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_82,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_83,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_84,plain,
( id(X1,esk20_1(X1))
| r1(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_85,plain,
id(esk15_1(X1),esk17_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_86,plain,
( r1(X1)
| ~ id(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_87,plain,
id(esk13_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_88,plain,
( id(X1,esk1_0)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_89,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_90,negated_conjecture,
r2(esk23_0,esk21_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_91,negated_conjecture,
id(esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_92,plain,
r1(esk17_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_93,plain,
r1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_94,plain,
r1(esk14_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_95,negated_conjecture,
r1(esk23_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_96,negated_conjecture,
r1(esk22_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_97,plain,
$false,
inference(scs_inference,[],[i_0_91,i_0_96,i_0_90,i_0_73]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN088+1 : TPTP v9.2.1. Released v7.3.0.
% 0.00/0.12 % 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
% 0.14/0.32 % Computer : n027.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 01:24:05 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 0.26/1.60 % Version : CSE_E---1.7
% 0.26/1.60 % Problem : theBenchmark.p
% 0.26/1.60 % SZS status Theorem for theBenchmark.p
% 0.26/1.60 % SZS output start CNFRefutation
% See solution above
% 0.26/1.62 % Total time : 1.269s
%------------------------------------------------------------------------------