%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUN089+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 : n002.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 1.62s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 19
% Syntax : Number of formulae : 99 ( 26 unt; 0 def)
% Number of atoms : 375 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 475 ( 199 ~; 185 |; 91 &)
% ( 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 : 24 ( 24 usr; 5 con; 0-2 aty)
% Number of variables : 263 ( 6 sgn 141 !; 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(zerounidtwo,conjecture,
! [X63] :
( ! [X46] :
( ! [X47] :
( ~ r1(X47)
| ~ r2(X47,X46) )
| ~ r2(X46,X63) )
| ! [X40] :
( ~ id(X40,X63)
| ~ r1(X40) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerounidtwo) ).
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] :
( ! [X47] :
( ~ r1(X47)
| ~ r2(X47,X46) )
| ~ r2(X46,X63) )
| ! [X40] :
( ~ id(X40,X63)
| ~ r1(X40) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[zerounidtwo])]) ).
fof(i_0_32,plain,
! [X170,X171,X172,X173,X174,X175] :
( ( r4(X170,X171,X172)
| ~ r4(X170,X171,X172)
| ~ id(X170,X173)
| ~ id(X171,X174)
| ~ id(X172,X175) )
& ( r4(X173,X174,X175)
| ~ r4(X170,X171,X172)
| ~ id(X170,X173)
| ~ id(X171,X174)
| ~ id(X172,X175) )
& ( r4(X170,X171,X172)
| ~ r4(X173,X174,X175)
| ~ id(X170,X173)
| ~ id(X171,X174)
| ~ id(X172,X175) )
& ( r4(X173,X174,X175)
| ~ r4(X173,X174,X175)
| ~ id(X170,X173)
| ~ id(X171,X174)
| ~ id(X172,X175) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[i_0_19])]) ).
fof(i_0_33,plain,
! [X164,X165,X166,X167,X168,X169] :
( ( r3(X164,X165,X166)
| ~ r3(X164,X165,X166)
| ~ id(X164,X167)
| ~ id(X165,X168)
| ~ id(X166,X169) )
& ( r3(X167,X168,X169)
| ~ r3(X164,X165,X166)
| ~ id(X164,X167)
| ~ id(X165,X168)
| ~ id(X166,X169) )
& ( r3(X164,X165,X166)
| ~ r3(X167,X168,X169)
| ~ id(X164,X167)
| ~ id(X165,X168)
| ~ id(X166,X169) )
& ( r3(X167,X168,X169)
| ~ r3(X167,X168,X169)
| ~ id(X164,X167)
| ~ id(X165,X168)
| ~ id(X166,X169) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[i_0_20])]) ).
fof(i_0_34,plain,
! [X148,X149,X151] :
( ( ~ r4(X148,X149,X151)
| id(X151,esk4_2(X148,X149)) )
& ( ~ id(X151,esk4_2(X148,X149))
| id(X151,esk4_2(X148,X149)) )
& ( ~ r4(X148,X149,X151)
| r4(X148,X149,X151) )
& ( ~ id(X151,esk4_2(X148,X149))
| r4(X148,X149,X151) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_21])])]) ).
fof(i_0_35,plain,
! [X144,X145,X147] :
( ( ~ r3(X144,X145,X147)
| id(X147,esk3_2(X144,X145)) )
& ( ~ id(X147,esk3_2(X144,X145))
| id(X147,esk3_2(X144,X145)) )
& ( ~ r3(X144,X145,X147)
| r3(X144,X145,X147) )
& ( ~ id(X147,esk3_2(X144,X145))
| r3(X144,X145,X147) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_22])])]) ).
fof(i_0_36,plain,
! [X182,X183] :
( id(esk10_2(X182,X183),esk9_2(X182,X183))
& r2(X183,esk11_2(X182,X183))
& r4(X182,esk11_2(X182,X183),esk10_2(X182,X183))
& r3(esk12_2(X182,X183),X182,esk9_2(X182,X183))
& r4(X182,X183,esk12_2(X182,X183)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_2a])]) ).
fof(i_0_37,plain,
! [X176,X177] :
( id(esk6_2(X176,X177),esk5_2(X176,X177))
& r2(X177,esk7_2(X176,X177))
& r3(X176,esk7_2(X176,X177),esk6_2(X176,X177))
& r2(esk8_2(X176,X177),esk5_2(X176,X177))
& r3(X176,X177,esk8_2(X176,X177)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_1a])]) ).
fof(i_0_38,plain,
! [X160,X161,X162,X163] :
( ( r2(X160,X161)
| ~ r2(X160,X161)
| ~ id(X160,X162)
| ~ id(X161,X163) )
& ( r2(X162,X163)
| ~ r2(X160,X161)
| ~ id(X160,X162)
| ~ id(X161,X163) )
& ( r2(X160,X161)
| ~ r2(X162,X163)
| ~ id(X160,X162)
| ~ id(X161,X163) )
& ( r2(X162,X163)
| ~ r2(X162,X163)
| ~ id(X160,X162)
| ~ id(X161,X163) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[i_0_23])]) ).
fof(i_0_39,plain,
! [X188,X189,X190,X191] :
( ~ id(X191,X190)
| ~ r2(X188,X191)
| ~ r2(X189,X190)
| id(X188,X189) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[i_0_24])]) ).
fof(i_0_40,plain,
! [X195] :
( r1(esk16_1(X195))
& r4(X195,esk16_1(X195),esk15_1(X195))
& id(esk15_1(X195),esk17_1(X195))
& r1(esk17_1(X195)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_5a])]) ).
fof(i_0_41,plain,
! [X192] :
( id(esk13_1(X192),X192)
& r1(esk14_1(X192))
& r3(X192,esk14_1(X192),esk13_1(X192)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_4a])]) ).
fof(i_0_42,plain,
! [X155,X156,X157] :
( ~ id(X155,X156)
| id(X155,X157)
| ~ id(X156,X157) ),
inference(variable_rename,[status(thm)],[i_0_25]) ).
fof(i_0_43,plain,
! [X203,X204,X205] :
( ~ id(X205,X204)
| ~ r1(X205)
| ~ r2(X203,X204) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[i_0_26])]) ).
fof(i_0_44,plain,
! [X199] :
( ( id(X199,esk20_1(X199))
| id(X199,esk18_1(X199)) )
& ( r2(esk19_1(X199),esk20_1(X199))
| id(X199,esk18_1(X199)) )
& ( id(X199,esk20_1(X199))
| r1(esk18_1(X199)) )
& ( r2(esk19_1(X199),esk20_1(X199))
| r1(esk18_1(X199)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_6a])])]) ).
fof(i_0_45,plain,
! [X141,X143] :
( ( ~ r2(X141,X143)
| id(X143,esk2_1(X141)) )
& ( ~ id(X143,esk2_1(X141))
| id(X143,esk2_1(X141)) )
& ( ~ r2(X141,X143)
| r2(X141,X143) )
& ( ~ id(X143,esk2_1(X141))
| r2(X141,X143) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_27])])]) ).
fof(i_0_46,plain,
! [X153,X154] :
( ~ id(X153,X154)
| id(X154,X153) ),
inference(variable_rename,[status(thm)],[i_0_28]) ).
fof(i_0_47,plain,
! [X158,X159] :
( ( r1(X158)
| ~ r1(X158)
| ~ id(X158,X159) )
& ( r1(X159)
| ~ r1(X158)
| ~ id(X158,X159) )
& ( r1(X158)
| ~ r1(X159)
| ~ id(X158,X159) )
& ( r1(X159)
| ~ r1(X159)
| ~ id(X158,X159) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[i_0_29])]) ).
fof(i_0_48,plain,
! [X140] :
( ( ~ r1(X140)
| id(X140,esk1_0) )
& ( ~ id(X140,esk1_0)
| id(X140,esk1_0) )
& ( ~ r1(X140)
| r1(X140) )
& ( ~ id(X140,esk1_0)
| r1(X140) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_30])])]) ).
fof(i_0_49,plain,
! [X152] : id(X152,X152),
inference(variable_rename,[status(thm)],[axiom_5]) ).
fof(i_0_50,negated_conjecture,
( r1(esk23_0)
& r2(esk23_0,esk22_0)
& r2(esk22_0,esk21_0)
& id(esk24_0,esk21_0)
& r1(esk24_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,esk22_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_91,negated_conjecture,
r2(esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_92,negated_conjecture,
id(esk24_0,esk21_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_93,plain,
r1(esk17_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_94,plain,
r1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_95,plain,
r1(esk14_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_96,negated_conjecture,
r1(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_97,negated_conjecture,
r1(esk23_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_98,plain,
$false,
inference(scs_inference,[],[i_0_92,i_0_96,i_0_91,i_0_73]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUN089+1 : TPTP v9.2.1. Released v7.3.0.
% 0.11/0.13 % 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
% 0.14/0.33 % Computer : n002.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 01:24:31 EDT 2026
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % start to proof: theBenchmark
% 0.26/1.62 % Version : CSE_E---1.7
% 0.26/1.62 % Problem : theBenchmark.p
% 0.26/1.62 % SZS status Theorem for theBenchmark.p
% 0.26/1.62 % SZS output start CNFRefutation
% See solution above
% 0.26/1.64 % Total time : 1.273s
%------------------------------------------------------------------------------