%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUN075+2 : 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 05:00:51 PM UTC 2026
% Result : Theorem 1.30s 1.73s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 6
% Syntax : Number of formulae : 71 ( 26 unt; 0 def)
% Number of atoms : 450 ( 49 equ)
% Maximal formula atoms : 23 ( 6 avg)
% Number of connectives : 713 ( 334 ~; 302 |; 77 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 7 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 406 ( 5 sgn 46 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sevenplustwoeqnine,conjecture,
? [X39] :
( ? [X22] :
( X39 = X22
& ? [X23] :
( r2(X23,X22)
& ? [X16] :
( r2(X16,X23)
& ? [X25] :
( r2(X25,X16)
& ? [X34] :
( r2(X34,X25)
& ? [X42] :
( r2(X42,X34)
& ? [X28] :
( r2(X28,X42)
& ? [X24] :
( r2(X24,X28)
& ? [X35] :
( r2(X35,X24)
& ? [X43] :
( r1(X43)
& r2(X43,X35) ) ) ) ) ) ) ) ) ) )
& ? [X17] :
( ? [X32] :
( r3(X17,X32,X39)
& ? [X38] :
( r2(X38,X32)
& ? [X8] :
( r1(X8)
& r2(X8,X38) ) ) )
& ? [X19] :
( r2(X19,X17)
& ? [X31] :
( r2(X31,X19)
& ? [X40] :
( r2(X40,X31)
& ? [X29] :
( r2(X29,X40)
& ? [X18] :
( r2(X18,X29)
& ? [X36] :
( r2(X36,X18)
& ? [X4] :
( r1(X4)
& r2(X4,X36) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sevenplustwoeqnine) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
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/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
fof(axiom_2,axiom,
! [X3] :
? [X4] :
! [X5] :
( ( ~ r2(X3,X5)
& X5 != X4 )
| ( r2(X3,X5)
& X5 = X4 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
fof(axiom_4a,axiom,
! [X30] :
? [X31] :
( ? [X32] :
( r1(X32)
& r3(X30,X32,X31) )
& X31 = X30 ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
fof(axiom_3,axiom,
! [X6,X7] :
? [X8] :
! [X9] :
( ( ~ r3(X6,X7,X9)
& X9 != X8 )
| ( r3(X6,X7,X9)
& X9 = X8 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_3) ).
fof(c_0_6,negated_conjecture,
~ ? [X39] :
( ? [X22] :
( X39 = X22
& ? [X23] :
( r2(X23,X22)
& ? [X16] :
( r2(X16,X23)
& ? [X25] :
( r2(X25,X16)
& ? [X34] :
( r2(X34,X25)
& ? [X42] :
( r2(X42,X34)
& ? [X28] :
( r2(X28,X42)
& ? [X24] :
( r2(X24,X28)
& ? [X35] :
( r2(X35,X24)
& ? [X43] :
( r1(X43)
& r2(X43,X35) ) ) ) ) ) ) ) ) ) )
& ? [X17] :
( ? [X32] :
( r3(X17,X32,X39)
& ? [X38] :
( r2(X38,X32)
& ? [X8] :
( r1(X8)
& r2(X8,X38) ) ) )
& ? [X19] :
( r2(X19,X17)
& ? [X31] :
( r2(X31,X19)
& ? [X40] :
( r2(X40,X31)
& ? [X29] :
( r2(X29,X40)
& ? [X18] :
( r2(X18,X29)
& ? [X36] :
( r2(X36,X18)
& ? [X4] :
( r1(X4)
& r2(X4,X36) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[sevenplustwoeqnine]) ).
fof(c_0_7,negated_conjecture,
! [X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173] :
( X152 != X153
| ~ r2(X154,X153)
| ~ r2(X155,X154)
| ~ r2(X156,X155)
| ~ r2(X157,X156)
| ~ r2(X158,X157)
| ~ r2(X159,X158)
| ~ r2(X160,X159)
| ~ r2(X161,X160)
| ~ r1(X162)
| ~ r2(X162,X161)
| ~ r3(X163,X164,X152)
| ~ r2(X165,X164)
| ~ r1(X166)
| ~ r2(X166,X165)
| ~ r2(X167,X163)
| ~ r2(X168,X167)
| ~ r2(X169,X168)
| ~ r2(X170,X169)
| ~ r2(X171,X170)
| ~ r2(X172,X171)
| ~ r1(X173)
| ~ r2(X173,X172) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_8,plain,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_9,negated_conjecture,
( X1 != X2
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r1(X11)
| ~ r2(X11,X10)
| ~ r3(X12,X13,X1)
| ~ r2(X14,X13)
| ~ r1(X15)
| ~ r2(X15,X14)
| ~ r2(X16,X12)
| ~ r2(X17,X16)
| ~ r2(X18,X17)
| ~ r2(X19,X18)
| ~ r2(X20,X19)
| ~ r2(X21,X20)
| ~ r1(X22)
| ~ r2(X22,X21) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X122,X123] :
( r2(X123,esk7_2(X122,X123))
& r3(X122,esk7_2(X122,X123),esk6_2(X122,X123))
& esk6_2(X122,X123) = esk5_2(X122,X123)
& r2(esk8_2(X122,X123),esk5_2(X122,X123))
& r3(X122,X123,esk8_2(X122,X123)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_1a])]) ).
fof(c_0_11,plain,
! [X110] :
( ( r1(X110)
| ~ r1(X110) )
& ( X110 = esk1_0
| ~ r1(X110) )
& ( r1(X110)
| X110 != esk1_0 )
& ( X110 = esk1_0
| X110 != esk1_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_8])])]) ).
cnf(c_0_12,negated_conjecture,
( ~ r3(X1,X2,X3)
| ~ r2(X4,X5)
| ~ r2(X5,X6)
| ~ r2(X6,X7)
| ~ r2(X7,X8)
| ~ r2(X8,X9)
| ~ r2(X9,X10)
| ~ r2(X10,X1)
| ~ r2(X11,X12)
| ~ r2(X12,X2)
| ~ r2(X13,X14)
| ~ r2(X14,X15)
| ~ r2(X15,X16)
| ~ r2(X16,X17)
| ~ r2(X17,X18)
| ~ r2(X18,X19)
| ~ r2(X19,X20)
| ~ r2(X20,X21)
| ~ r2(X21,X3)
| ~ r1(X4)
| ~ r1(X11)
| ~ r1(X13) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
r3(X1,X2,esk8_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( r1(X1)
| X1 != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( ~ r2(X1,esk8_2(X2,X3))
| ~ r2(X4,X5)
| ~ r2(X5,X6)
| ~ r2(X6,X7)
| ~ r2(X7,X8)
| ~ r2(X8,X9)
| ~ r2(X9,X10)
| ~ r2(X10,X2)
| ~ r2(X11,X12)
| ~ r2(X12,X3)
| ~ r2(X13,X14)
| ~ r2(X14,X15)
| ~ r2(X15,X16)
| ~ r2(X16,X17)
| ~ r2(X17,X18)
| ~ r2(X18,X19)
| ~ r2(X19,X20)
| ~ r2(X20,X1)
| ~ r1(X4)
| ~ r1(X11)
| ~ r1(X13) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
r1(esk1_0),
inference(er,[status(thm)],[c_0_14]) ).
fof(c_0_17,plain,
! [X3] :
? [X4] :
! [X5] :
( ( ~ r2(X3,X5)
& X5 != X4 )
| ( r2(X3,X5)
& X5 = X4 ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
cnf(c_0_18,negated_conjecture,
( ~ r2(X1,esk8_2(X2,X3))
| ~ r2(esk1_0,X4)
| ~ r2(X4,X5)
| ~ r2(X5,X6)
| ~ r2(X6,X7)
| ~ r2(X7,X8)
| ~ r2(X8,X9)
| ~ r2(X9,X2)
| ~ r2(X10,X11)
| ~ r2(X11,X3)
| ~ r2(X12,X13)
| ~ r2(X13,X14)
| ~ r2(X14,X15)
| ~ r2(X15,X16)
| ~ r2(X16,X17)
| ~ r2(X17,X18)
| ~ r2(X18,X19)
| ~ r2(X19,X1)
| ~ r1(X10)
| ~ r1(X12) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_19,plain,
! [X111,X113] :
( ( r2(X111,X113)
| ~ r2(X111,X113) )
& ( X113 = esk2_1(X111)
| ~ r2(X111,X113) )
& ( r2(X111,X113)
| X113 != esk2_1(X111) )
& ( X113 = esk2_1(X111)
| X113 != esk2_1(X111) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_17])])]) ).
cnf(c_0_20,negated_conjecture,
( ~ r2(X1,esk8_2(X2,X3))
| ~ r2(esk1_0,X4)
| ~ r2(esk1_0,X5)
| ~ r2(X4,X6)
| ~ r2(X6,X7)
| ~ r2(X7,X8)
| ~ r2(X8,X9)
| ~ r2(X9,X10)
| ~ r2(X10,X2)
| ~ r2(X5,X3)
| ~ r2(X11,X12)
| ~ r2(X12,X13)
| ~ r2(X13,X14)
| ~ r2(X14,X15)
| ~ r2(X15,X16)
| ~ r2(X16,X17)
| ~ r2(X17,X18)
| ~ r2(X18,X1)
| ~ r1(X11) ),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_21,plain,
( r2(X1,X2)
| X2 != esk2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( ~ r2(X1,esk8_2(X2,X3))
| ~ r2(esk1_0,X4)
| ~ r2(esk1_0,X5)
| ~ r2(esk1_0,X6)
| ~ r2(X4,X7)
| ~ r2(X7,X8)
| ~ r2(X8,X9)
| ~ r2(X9,X10)
| ~ r2(X10,X11)
| ~ r2(X11,X2)
| ~ r2(X5,X3)
| ~ r2(X6,X12)
| ~ r2(X12,X13)
| ~ r2(X13,X14)
| ~ r2(X14,X15)
| ~ r2(X15,X16)
| ~ r2(X16,X17)
| ~ r2(X17,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_16]) ).
cnf(c_0_23,plain,
r2(X1,esk2_1(X1)),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( ~ r2(X1,esk8_2(X2,X3))
| ~ r2(esk2_1(X4),X5)
| ~ r2(esk1_0,X4)
| ~ r2(esk1_0,X6)
| ~ r2(esk1_0,X7)
| ~ r2(X5,X8)
| ~ r2(X8,X9)
| ~ r2(X9,X10)
| ~ r2(X10,X2)
| ~ r2(X6,X3)
| ~ r2(X7,X11)
| ~ r2(X11,X12)
| ~ r2(X12,X13)
| ~ r2(X13,X14)
| ~ r2(X14,X15)
| ~ r2(X15,X16)
| ~ r2(X16,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
( ~ r2(X1,esk8_2(X2,X3))
| ~ r2(esk2_1(X4),X5)
| ~ r2(esk2_1(X5),X6)
| ~ r2(esk1_0,X4)
| ~ r2(esk1_0,X7)
| ~ r2(esk1_0,X8)
| ~ r2(X6,X9)
| ~ r2(X9,X2)
| ~ r2(X7,X3)
| ~ r2(X8,X10)
| ~ r2(X10,X11)
| ~ r2(X11,X12)
| ~ r2(X12,X13)
| ~ r2(X13,X14)
| ~ r2(X14,X15)
| ~ r2(X15,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( ~ r2(X1,esk8_2(X2,X3))
| ~ r2(esk2_1(X4),X5)
| ~ r2(esk2_1(X5),X6)
| ~ r2(esk2_1(X6),X2)
| ~ r2(esk1_0,X4)
| ~ r2(esk1_0,X7)
| ~ r2(esk1_0,X8)
| ~ r2(X7,X3)
| ~ r2(X8,X9)
| ~ r2(X9,X10)
| ~ r2(X10,X11)
| ~ r2(X11,X12)
| ~ r2(X12,X13)
| ~ r2(X13,X14)
| ~ r2(X14,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( ~ r2(X1,esk8_2(X2,esk2_1(X3)))
| ~ r2(esk2_1(X4),X5)
| ~ r2(esk2_1(X5),X6)
| ~ r2(esk2_1(X6),X2)
| ~ r2(esk1_0,X4)
| ~ r2(esk1_0,X3)
| ~ r2(esk1_0,X7)
| ~ r2(X7,X8)
| ~ r2(X8,X9)
| ~ r2(X9,X10)
| ~ r2(X10,X11)
| ~ r2(X11,X12)
| ~ r2(X12,X13)
| ~ r2(X13,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( ~ r2(X1,esk8_2(X2,esk2_1(X3)))
| ~ r2(esk2_1(X4),X5)
| ~ r2(esk2_1(X5),X6)
| ~ r2(esk2_1(X6),X2)
| ~ r2(esk2_1(X7),X8)
| ~ r2(esk1_0,X4)
| ~ r2(esk1_0,X3)
| ~ r2(esk1_0,X7)
| ~ r2(X8,X9)
| ~ r2(X9,X10)
| ~ r2(X10,X11)
| ~ r2(X11,X12)
| ~ r2(X12,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( ~ r2(X1,esk8_2(X2,esk2_1(X3)))
| ~ r2(esk2_1(X4),X5)
| ~ r2(esk2_1(X5),X6)
| ~ r2(esk2_1(X6),X2)
| ~ r2(esk2_1(X7),X8)
| ~ r2(esk2_1(X8),X9)
| ~ r2(esk1_0,X4)
| ~ r2(esk1_0,X3)
| ~ r2(esk1_0,X7)
| ~ r2(X9,X10)
| ~ r2(X10,X11)
| ~ r2(X11,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_23]) ).
cnf(c_0_30,negated_conjecture,
( ~ r2(X1,esk8_2(X2,esk2_1(X3)))
| ~ r2(esk2_1(X4),X5)
| ~ r2(esk2_1(X5),X6)
| ~ r2(esk2_1(X6),X2)
| ~ r2(esk2_1(X7),X8)
| ~ r2(esk2_1(X8),X9)
| ~ r2(esk2_1(X9),X10)
| ~ r2(esk1_0,X4)
| ~ r2(esk1_0,X3)
| ~ r2(esk1_0,X7)
| ~ r2(X10,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_23]) ).
cnf(c_0_31,negated_conjecture,
( ~ r2(esk2_1(X1),esk8_2(X2,esk2_1(X3)))
| ~ r2(esk2_1(X4),X5)
| ~ r2(esk2_1(X5),X6)
| ~ r2(esk2_1(X6),X2)
| ~ r2(esk2_1(X7),X8)
| ~ r2(esk2_1(X8),X9)
| ~ r2(esk2_1(X9),X1)
| ~ r2(esk1_0,X4)
| ~ r2(esk1_0,X3)
| ~ r2(esk1_0,X7) ),
inference(spm,[status(thm)],[c_0_30,c_0_23]) ).
cnf(c_0_32,negated_conjecture,
( ~ r2(esk2_1(X1),esk8_2(X2,esk2_1(X3)))
| ~ r2(esk2_1(esk2_1(esk1_0)),X4)
| ~ r2(esk2_1(X4),X5)
| ~ r2(esk2_1(X5),X2)
| ~ r2(esk2_1(X6),X7)
| ~ r2(esk2_1(X7),X8)
| ~ r2(esk2_1(X8),X1)
| ~ r2(esk1_0,X3)
| ~ r2(esk1_0,X6) ),
inference(spm,[status(thm)],[c_0_31,c_0_23]) ).
fof(c_0_33,plain,
! [X138] :
( r1(esk14_1(X138))
& r3(X138,esk14_1(X138),esk13_1(X138))
& esk13_1(X138) = X138 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_4a])]) ).
cnf(c_0_34,negated_conjecture,
( ~ r2(esk2_1(X1),esk8_2(X2,esk2_1(esk2_1(esk1_0))))
| ~ r2(esk2_1(esk2_1(esk1_0)),X3)
| ~ r2(esk2_1(X3),X4)
| ~ r2(esk2_1(X4),X2)
| ~ r2(esk2_1(X5),X6)
| ~ r2(esk2_1(X6),X7)
| ~ r2(esk2_1(X7),X1)
| ~ r2(esk1_0,X5) ),
inference(spm,[status(thm)],[c_0_32,c_0_23]) ).
fof(c_0_35,plain,
! [X6,X7] :
? [X8] :
! [X9] :
( ( ~ r3(X6,X7,X9)
& X9 != X8 )
| ( r3(X6,X7,X9)
& X9 = X8 ) ),
inference(fof_simplification,[status(thm)],[axiom_3]) ).
cnf(c_0_36,plain,
r3(X1,esk14_1(X1),esk13_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,plain,
esk13_1(X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
( X1 = esk1_0
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_39,plain,
r1(esk14_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( ~ r2(esk2_1(X1),esk8_2(X2,esk2_1(esk2_1(esk1_0))))
| ~ r2(esk2_1(esk2_1(esk1_0)),X3)
| ~ r2(esk2_1(esk2_1(esk1_0)),X4)
| ~ r2(esk2_1(X3),X5)
| ~ r2(esk2_1(X5),X2)
| ~ r2(esk2_1(X4),X6)
| ~ r2(esk2_1(X6),X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_23]) ).
fof(c_0_41,plain,
! [X114,X115,X117] :
( ( r3(X114,X115,X117)
| ~ r3(X114,X115,X117) )
& ( X117 = esk3_2(X114,X115)
| ~ r3(X114,X115,X117) )
& ( r3(X114,X115,X117)
| X117 != esk3_2(X114,X115) )
& ( X117 = esk3_2(X114,X115)
| X117 != esk3_2(X114,X115) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_35])])]) ).
cnf(c_0_42,plain,
r3(X1,esk14_1(X1),X1),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
esk14_1(X1) = esk1_0,
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,negated_conjecture,
( ~ r2(esk2_1(X1),esk8_2(X2,esk2_1(esk2_1(esk1_0))))
| ~ r2(esk2_1(esk2_1(esk2_1(X3))),X2)
| ~ r2(esk2_1(esk2_1(esk1_0)),X3)
| ~ r2(esk2_1(esk2_1(esk1_0)),X4)
| ~ r2(esk2_1(X4),X5)
| ~ r2(esk2_1(X5),X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_23]) ).
cnf(c_0_45,plain,
( X1 = esk3_2(X2,X3)
| ~ r3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_46,plain,
r3(X1,esk7_2(X1,X2),esk6_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_47,plain,
esk6_2(X1,X2) = esk5_2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_48,plain,
( X1 = esk2_1(X2)
| ~ r2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_49,plain,
r2(X1,esk7_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_50,plain,
r3(X1,esk1_0,X1),
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_51,negated_conjecture,
( ~ r2(esk2_1(X1),esk8_2(X2,esk2_1(esk2_1(esk1_0))))
| ~ r2(esk2_1(esk2_1(esk2_1(X3))),X2)
| ~ r2(esk2_1(esk2_1(esk2_1(X4))),X1)
| ~ r2(esk2_1(esk2_1(esk1_0)),X3)
| ~ r2(esk2_1(esk2_1(esk1_0)),X4) ),
inference(spm,[status(thm)],[c_0_44,c_0_23]) ).
cnf(c_0_52,plain,
esk3_2(X1,X2) = esk8_2(X1,X2),
inference(spm,[status(thm)],[c_0_45,c_0_13]) ).
cnf(c_0_53,plain,
r3(X1,esk7_2(X1,X2),esk5_2(X1,X2)),
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_54,plain,
esk7_2(X1,X2) = esk2_1(X2),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,plain,
esk3_2(X1,esk1_0) = X1,
inference(spm,[status(thm)],[c_0_45,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
( ~ r2(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0)))))),X1)
| ~ r2(esk2_1(X2),esk8_2(X1,esk2_1(esk2_1(esk1_0))))
| ~ r2(esk2_1(esk2_1(esk2_1(X3))),X2)
| ~ r2(esk2_1(esk2_1(esk1_0)),X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_23]) ).
cnf(c_0_57,plain,
( X1 = esk8_2(X2,X3)
| ~ r3(X2,X3,X1) ),
inference(rw,[status(thm)],[c_0_45,c_0_52]) ).
cnf(c_0_58,plain,
r3(X1,esk2_1(X2),esk5_2(X1,X2)),
inference(rw,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,plain,
r2(esk8_2(X1,X2),esk5_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_60,plain,
esk8_2(X1,esk1_0) = X1,
inference(rw,[status(thm)],[c_0_55,c_0_52]) ).
cnf(c_0_61,negated_conjecture,
( ~ r2(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0)))))),X1)
| ~ r2(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0)))))),X2)
| ~ r2(esk2_1(X2),esk8_2(X1,esk2_1(esk2_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_56,c_0_23]) ).
cnf(c_0_62,plain,
esk8_2(X1,esk2_1(X2)) = esk5_2(X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,plain,
esk2_1(esk8_2(X1,X2)) = esk5_2(X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_59]) ).
cnf(c_0_64,plain,
r2(X1,esk5_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
( ~ r2(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0)))))),X1)
| ~ r2(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0)))))),X2)
| ~ r2(esk2_1(X2),esk5_2(X1,esk2_1(esk1_0))) ),
inference(rw,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_66,plain,
esk5_2(X1,esk2_1(X2)) = esk2_1(esk5_2(X1,X2)),
inference(spm,[status(thm)],[c_0_63,c_0_62]) ).
cnf(c_0_67,plain,
esk5_2(X1,esk1_0) = esk2_1(X1),
inference(spm,[status(thm)],[c_0_48,c_0_64]) ).
cnf(c_0_68,negated_conjecture,
( ~ r2(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0)))))),X1)
| ~ r2(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0)))))),X2)
| ~ r2(esk2_1(X2),esk2_1(esk2_1(X1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_69,negated_conjecture,
~ r2(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0)))))),X1),
inference(spm,[status(thm)],[c_0_68,c_0_23]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_69,c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN075+2 : 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
% 0.16/0.33 % Computer : n027.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:22:35 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.30/1.73 % Version : CSE_E---1.7
% 1.30/1.73 % Problem : theBenchmark.p
% 1.30/1.73 % SZS status Theorem for theBenchmark.p
% 1.30/1.73 % SZS output start CNFRefutation
% See solution above
% 1.30/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------