%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUN075+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:57:40 PM UTC 2026
% Result : Theorem 0.16s 0.50s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 6
% Syntax : Number of formulae : 68 ( 25 unt; 0 def)
% Number of atoms : 445 ( 47 equ)
% Maximal formula atoms : 23 ( 6 avg)
% Number of connectives : 707 ( 330 ~; 300 |; 77 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 8 avg)
% Maximal term depth : 8 ( 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 : 398 ( 5 sgn 46 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( X2 = X1
& r1(X2) )
| ( X2 != X1
& ~ r1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
fof(axiom_4a,axiom,
! [X30] :
? [X31] :
( X31 = X30
& ? [X32] :
( r3(X30,X32,X31)
& r1(X32) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
fof(axiom_3,axiom,
! [X6,X7] :
? [X8] :
! [X9] :
( ( X9 = X8
& r3(X6,X7,X9) )
| ( X9 != X8
& ~ r3(X6,X7,X9) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_3) ).
fof(axiom_1a,axiom,
! [X14,X15] :
? [X16] :
( ? [X19] :
( r3(X14,X15,X19)
& r2(X19,X16) )
& ? [X17] :
( X17 = X16
& ? [X18] :
( r3(X14,X18,X17)
& r2(X15,X18) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
fof(axiom_2,axiom,
! [X3] :
? [X4] :
! [X5] :
( ( X5 = X4
& r2(X3,X5) )
| ( X5 != X4
& ~ r2(X3,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
fof(sevenplustwoeqnine,conjecture,
? [X39] :
( ? [X17] :
( ? [X19] :
( ? [X31] :
( ? [X40] :
( ? [X29] :
( ? [X18] :
( ? [X36] :
( ? [X4] :
( r2(X4,X36)
& r1(X4) )
& r2(X36,X18) )
& r2(X18,X29) )
& r2(X29,X40) )
& r2(X40,X31) )
& r2(X31,X19) )
& r2(X19,X17) )
& ? [X32] :
( ? [X38] :
( ? [X8] :
( r2(X8,X38)
& r1(X8) )
& r2(X38,X32) )
& r3(X17,X32,X39) ) )
& ? [X22] :
( ? [X23] :
( ? [X16] :
( ? [X25] :
( ? [X34] :
( ? [X42] :
( ? [X28] :
( ? [X24] :
( ? [X35] :
( ? [X43] :
( r2(X43,X35)
& r1(X43) )
& r2(X35,X24) )
& r2(X24,X28) )
& r2(X28,X42) )
& r2(X42,X34) )
& r2(X34,X25) )
& r2(X25,X16) )
& r2(X16,X23) )
& r2(X23,X22) )
& X39 = X22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sevenplustwoeqnine) ).
fof(c_0_6,plain,
? [X1] :
! [X2] :
( ( X2 = X1
& r1(X2) )
| ( X2 != X1
& ~ r1(X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_7,plain,
! [X73] :
( esk13_1(X73) = X73
& r3(X73,esk14_1(X73),esk13_1(X73))
& r1(esk14_1(X73)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_4a])]) ).
fof(c_0_8,plain,
! [X45] :
( ( X45 != esk1_0
| X45 = esk1_0 )
& ( X45 != esk1_0
| r1(X45) )
& ( ~ r1(X45)
| X45 = esk1_0 )
& ( ~ r1(X45)
| r1(X45) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_6])])])]) ).
fof(c_0_9,plain,
! [X6,X7] :
? [X8] :
! [X9] :
( ( X9 = X8
& r3(X6,X7,X9) )
| ( X9 != X8
& ~ r3(X6,X7,X9) ) ),
inference(fof_simplification,[status(thm)],[axiom_3]) ).
cnf(c_0_10,plain,
r3(X1,esk14_1(X1),esk13_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
esk13_1(X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ r1(X1)
| X1 = esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
r1(esk14_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_14,plain,
! [X49,X50,X52] :
( ( X52 != esk3_2(X49,X50)
| X52 = esk3_2(X49,X50) )
& ( X52 != esk3_2(X49,X50)
| r3(X49,X50,X52) )
& ( ~ r3(X49,X50,X52)
| X52 = esk3_2(X49,X50) )
& ( ~ r3(X49,X50,X52)
| r3(X49,X50,X52) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_9])])])]) ).
cnf(c_0_15,plain,
r3(X1,esk14_1(X1),X1),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
esk14_1(X1) = esk1_0,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_17,plain,
! [X57,X58] :
( r3(X57,X58,esk8_2(X57,X58))
& r2(esk8_2(X57,X58),esk5_2(X57,X58))
& esk6_2(X57,X58) = esk5_2(X57,X58)
& r3(X57,esk7_2(X57,X58),esk6_2(X57,X58))
& r2(X58,esk7_2(X57,X58)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_1a])]) ).
fof(c_0_18,plain,
! [X3] :
? [X4] :
! [X5] :
( ( X5 = X4
& r2(X3,X5) )
| ( X5 != X4
& ~ r2(X3,X5) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
cnf(c_0_19,plain,
( ~ r3(X2,X3,X1)
| X1 = esk3_2(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
r3(X1,esk1_0,X1),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
r3(X1,X2,esk8_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_22,negated_conjecture,
~ ? [X39] :
( ? [X17] :
( ? [X19] :
( ? [X31] :
( ? [X40] :
( ? [X29] :
( ? [X18] :
( ? [X36] :
( ? [X4] :
( r2(X4,X36)
& r1(X4) )
& r2(X36,X18) )
& r2(X18,X29) )
& r2(X29,X40) )
& r2(X40,X31) )
& r2(X31,X19) )
& r2(X19,X17) )
& ? [X32] :
( ? [X38] :
( ? [X8] :
( r2(X8,X38)
& r1(X8) )
& r2(X38,X32) )
& r3(X17,X32,X39) ) )
& ? [X22] :
( ? [X23] :
( ? [X16] :
( ? [X25] :
( ? [X34] :
( ? [X42] :
( ? [X28] :
( ? [X24] :
( ? [X35] :
( ? [X43] :
( r2(X43,X35)
& r1(X43) )
& r2(X35,X24) )
& r2(X24,X28) )
& r2(X28,X42) )
& r2(X42,X34) )
& r2(X34,X25) )
& r2(X25,X16) )
& r2(X16,X23) )
& r2(X23,X22) )
& X39 = X22 ) ),
inference(assume_negation,[status(cth)],[sevenplustwoeqnine]) ).
fof(c_0_23,plain,
! [X46,X48] :
( ( X48 != esk2_1(X46)
| X48 = esk2_1(X46) )
& ( X48 != esk2_1(X46)
| r2(X46,X48) )
& ( ~ r2(X46,X48)
| X48 = esk2_1(X46) )
& ( ~ r2(X46,X48)
| r2(X46,X48) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_18])])])]) ).
cnf(c_0_24,plain,
esk3_2(X1,esk1_0) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
esk3_2(X1,X2) = esk8_2(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
fof(c_0_26,negated_conjecture,
! [X87,X88,X89,X90,X91,X92,X93,X94,X95,X96,X97,X98,X99,X100,X101,X102,X103,X104,X105,X106,X107,X108] :
( ~ r2(X108,X107)
| ~ r1(X108)
| ~ r2(X107,X106)
| ~ r2(X106,X105)
| ~ r2(X105,X104)
| ~ r2(X104,X103)
| ~ r2(X103,X102)
| ~ r2(X102,X98)
| ~ r2(X101,X100)
| ~ r1(X101)
| ~ r2(X100,X99)
| ~ r3(X98,X99,X87)
| ~ r2(X97,X96)
| ~ r1(X97)
| ~ r2(X96,X95)
| ~ r2(X95,X94)
| ~ r2(X94,X93)
| ~ r2(X93,X92)
| ~ r2(X92,X91)
| ~ r2(X91,X90)
| ~ r2(X90,X89)
| ~ r2(X89,X88)
| X87 != X88 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).
cnf(c_0_27,plain,
r3(X1,esk7_2(X1,X2),esk6_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,plain,
esk6_2(X1,X2) = esk5_2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_29,plain,
( ~ r2(X2,X1)
| X1 = esk2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
r2(X1,esk7_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,plain,
r2(esk8_2(X1,X2),esk5_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_32,plain,
esk8_2(X1,esk1_0) = X1,
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,negated_conjecture,
( ~ r2(X22,X21)
| ~ r1(X22)
| ~ r2(X21,X20)
| ~ r2(X20,X19)
| ~ r2(X19,X18)
| ~ r2(X18,X17)
| ~ r2(X17,X16)
| ~ r2(X16,X12)
| ~ r2(X15,X14)
| ~ r1(X15)
| ~ r2(X14,X13)
| ~ r3(X12,X13,X1)
| ~ r2(X11,X10)
| ~ r1(X11)
| ~ r2(X10,X9)
| ~ r2(X9,X8)
| ~ r2(X8,X7)
| ~ r2(X7,X6)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r2(X3,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
r3(X1,esk7_2(X1,X2),esk5_2(X1,X2)),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,plain,
esk7_2(X1,X2) = esk2_1(X2),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,plain,
r2(X1,esk5_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
( ~ r1(X13)
| ~ r1(X11)
| ~ r1(X4)
| ~ r2(X21,X3)
| ~ r2(X20,X21)
| ~ r2(X19,X20)
| ~ r2(X18,X19)
| ~ r2(X17,X18)
| ~ r2(X16,X17)
| ~ r2(X15,X16)
| ~ r2(X14,X15)
| ~ r2(X13,X14)
| ~ r2(X12,X2)
| ~ r2(X11,X12)
| ~ r2(X10,X1)
| ~ r2(X9,X10)
| ~ r2(X8,X9)
| ~ r2(X7,X8)
| ~ r2(X6,X7)
| ~ r2(X5,X6)
| ~ r2(X4,X5)
| ~ r3(X1,X2,X3) ),
inference(er,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
r3(X1,esk2_1(X2),esk5_2(X1,X2)),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,plain,
esk5_2(X1,esk1_0) = esk2_1(X1),
inference(spm,[status(thm)],[c_0_29,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( ~ r1(X13)
| ~ r1(X12)
| ~ r1(X5)
| ~ r2(X20,X1)
| ~ r2(X19,X20)
| ~ r2(X18,X19)
| ~ r2(X17,X18)
| ~ r2(X16,X17)
| ~ r2(X15,X16)
| ~ r2(X14,X15)
| ~ r2(X13,X14)
| ~ r2(X12,X4)
| ~ r2(X11,X2)
| ~ r2(X10,X11)
| ~ r2(X9,X10)
| ~ r2(X8,X9)
| ~ r2(X7,X8)
| ~ r2(X6,X7)
| ~ r2(X5,X6)
| ~ r2(X4,esk2_1(X3))
| ~ r2(X1,esk5_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,plain,
( ~ r3(X2,X3,X1)
| X1 = esk8_2(X2,X3) ),
inference(rw,[status(thm)],[c_0_19,c_0_25]) ).
cnf(c_0_42,plain,
r3(X1,esk2_1(esk1_0),esk2_1(X1)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( ~ r1(X13)
| ~ r1(X12)
| ~ r1(X5)
| ~ r2(X19,X1)
| ~ r2(X18,X19)
| ~ r2(X17,X18)
| ~ r2(X16,X17)
| ~ r2(X15,X16)
| ~ r2(X14,X15)
| ~ r2(X13,X14)
| ~ r2(X12,X4)
| ~ r2(X11,X2)
| ~ r2(X10,X11)
| ~ r2(X9,X10)
| ~ r2(X8,X9)
| ~ r2(X7,X8)
| ~ r2(X6,X7)
| ~ r2(X5,X6)
| ~ r2(X4,esk2_1(X3))
| ~ r2(X1,esk8_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_40,c_0_31]) ).
cnf(c_0_44,plain,
esk8_2(X1,esk2_1(esk1_0)) = esk2_1(X1),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,plain,
( X2 != esk2_1(X1)
| r2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_46,negated_conjecture,
( ~ r1(X12)
| ~ r1(X11)
| ~ r1(X4)
| ~ r2(X18,X2)
| ~ r2(X17,X18)
| ~ r2(X16,X17)
| ~ r2(X15,X16)
| ~ r2(X14,X15)
| ~ r2(X13,X14)
| ~ r2(X12,X13)
| ~ r2(X11,X1)
| ~ r2(X10,X3)
| ~ r2(X9,X10)
| ~ r2(X8,X9)
| ~ r2(X7,X8)
| ~ r2(X6,X7)
| ~ r2(X5,X6)
| ~ r2(X4,X5)
| ~ r2(X2,esk2_1(X3))
| ~ r2(X1,esk2_1(esk2_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,plain,
r2(X1,esk2_1(X1)),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_48,plain,
( X1 != esk1_0
| r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_49,negated_conjecture,
( ~ r1(X11)
| ~ r1(X1)
| ~ r1(X4)
| ~ r2(X17,X2)
| ~ r2(X16,X17)
| ~ r2(X15,X16)
| ~ r2(X14,X15)
| ~ r2(X13,X14)
| ~ r2(X12,X13)
| ~ r2(X11,X12)
| ~ r2(X10,X3)
| ~ r2(X9,X10)
| ~ r2(X8,X9)
| ~ r2(X7,X8)
| ~ r2(X6,X7)
| ~ r2(X5,X6)
| ~ r2(X4,X5)
| ~ r2(X2,esk2_1(X3))
| ~ r2(X1,esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,plain,
r1(esk1_0),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_51,negated_conjecture,
( ~ r1(X10)
| ~ r1(X3)
| ~ r2(X16,X1)
| ~ r2(X15,X16)
| ~ r2(X14,X15)
| ~ r2(X13,X14)
| ~ r2(X12,X13)
| ~ r2(X11,X12)
| ~ r2(X10,X11)
| ~ r2(X9,X2)
| ~ r2(X8,X9)
| ~ r2(X7,X8)
| ~ r2(X6,X7)
| ~ r2(X5,X6)
| ~ r2(X4,X5)
| ~ r2(X3,X4)
| ~ r2(X1,esk2_1(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_47]),c_0_50])]) ).
cnf(c_0_52,negated_conjecture,
( ~ r1(X9)
| ~ r1(X1)
| ~ r2(X15,X8)
| ~ r2(X14,X15)
| ~ r2(X13,X14)
| ~ r2(X12,X13)
| ~ r2(X11,X12)
| ~ r2(X10,X11)
| ~ r2(X9,X10)
| ~ r2(X7,X8)
| ~ r2(X6,X7)
| ~ r2(X5,X6)
| ~ r2(X4,X5)
| ~ r2(X3,X4)
| ~ r2(X2,X3)
| ~ r2(X1,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( ~ r1(X8)
| ~ r1(X1)
| ~ r2(X14,X7)
| ~ r2(X13,X14)
| ~ r2(X12,X13)
| ~ r2(X11,X12)
| ~ r2(X10,X11)
| ~ r2(X9,X10)
| ~ r2(X8,X9)
| ~ r2(X6,X7)
| ~ r2(X5,X6)
| ~ r2(X4,X5)
| ~ r2(X3,X4)
| ~ r2(X2,X3)
| ~ r2(esk2_1(X1),X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_47]) ).
cnf(c_0_54,negated_conjecture,
( ~ r1(X7)
| ~ r1(X1)
| ~ r2(X13,X6)
| ~ r2(X12,X13)
| ~ r2(X11,X12)
| ~ r2(X10,X11)
| ~ r2(X9,X10)
| ~ r2(X8,X9)
| ~ r2(X7,X8)
| ~ r2(X5,X6)
| ~ r2(X4,X5)
| ~ r2(X3,X4)
| ~ r2(X2,X3)
| ~ r2(esk2_1(esk2_1(X1)),X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_47]) ).
cnf(c_0_55,negated_conjecture,
( ~ r1(X6)
| ~ r1(X1)
| ~ r2(X12,X5)
| ~ r2(X11,X12)
| ~ r2(X10,X11)
| ~ r2(X9,X10)
| ~ r2(X8,X9)
| ~ r2(X7,X8)
| ~ r2(X6,X7)
| ~ r2(X4,X5)
| ~ r2(X3,X4)
| ~ r2(X2,X3)
| ~ r2(esk2_1(esk2_1(esk2_1(X1))),X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_47]) ).
cnf(c_0_56,negated_conjecture,
( ~ r1(X5)
| ~ r1(X1)
| ~ r2(X11,X4)
| ~ r2(X10,X11)
| ~ r2(X9,X10)
| ~ r2(X8,X9)
| ~ r2(X7,X8)
| ~ r2(X6,X7)
| ~ r2(X5,X6)
| ~ r2(X3,X4)
| ~ r2(X2,X3)
| ~ r2(esk2_1(esk2_1(esk2_1(esk2_1(X1)))),X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_47]) ).
cnf(c_0_57,negated_conjecture,
( ~ r1(X4)
| ~ r1(X1)
| ~ r2(X10,X3)
| ~ r2(X9,X10)
| ~ r2(X8,X9)
| ~ r2(X7,X8)
| ~ r2(X6,X7)
| ~ r2(X5,X6)
| ~ r2(X4,X5)
| ~ r2(X2,X3)
| ~ r2(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))),X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_47]) ).
cnf(c_0_58,negated_conjecture,
( ~ r1(X3)
| ~ r1(X1)
| ~ r2(X9,X2)
| ~ r2(X8,X9)
| ~ r2(X7,X8)
| ~ r2(X6,X7)
| ~ r2(X5,X6)
| ~ r2(X4,X5)
| ~ r2(X3,X4)
| ~ r2(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1)))))),X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_47]) ).
cnf(c_0_59,negated_conjecture,
( ~ r1(X3)
| ~ r1(X2)
| ~ r2(X8,X1)
| ~ r2(X7,X8)
| ~ r2(X6,X7)
| ~ r2(X5,X6)
| ~ r2(X4,X5)
| ~ r2(X3,X4)
| ~ r2(X1,esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X2)))))))) ),
inference(spm,[status(thm)],[c_0_58,c_0_47]) ).
cnf(c_0_60,negated_conjecture,
( ~ r1(X3)
| ~ r1(X2)
| ~ r2(X7,X1)
| ~ r2(X6,X7)
| ~ r2(X5,X6)
| ~ r2(X4,X5)
| ~ r2(X3,X4)
| ~ r2(X1,esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X2))))))) ),
inference(spm,[status(thm)],[c_0_59,c_0_47]) ).
cnf(c_0_61,negated_conjecture,
( ~ r1(X3)
| ~ r1(X2)
| ~ r2(X6,X1)
| ~ r2(X5,X6)
| ~ r2(X4,X5)
| ~ r2(X3,X4)
| ~ r2(X1,esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X2)))))) ),
inference(spm,[status(thm)],[c_0_60,c_0_47]) ).
cnf(c_0_62,negated_conjecture,
( ~ r1(X3)
| ~ r1(X2)
| ~ r2(X5,X1)
| ~ r2(X4,X5)
| ~ r2(X3,X4)
| ~ r2(X1,esk2_1(esk2_1(esk2_1(esk2_1(X2))))) ),
inference(spm,[status(thm)],[c_0_61,c_0_47]) ).
cnf(c_0_63,negated_conjecture,
( ~ r1(X3)
| ~ r1(X2)
| ~ r2(X4,X1)
| ~ r2(X3,X4)
| ~ r2(X1,esk2_1(esk2_1(esk2_1(X2)))) ),
inference(spm,[status(thm)],[c_0_62,c_0_47]) ).
cnf(c_0_64,negated_conjecture,
( ~ r1(X3)
| ~ r1(X2)
| ~ r2(X3,X1)
| ~ r2(X1,esk2_1(esk2_1(X2))) ),
inference(spm,[status(thm)],[c_0_63,c_0_47]) ).
cnf(c_0_65,negated_conjecture,
( ~ r1(X1)
| ~ r1(X2)
| ~ r2(X1,esk2_1(X2)) ),
inference(spm,[status(thm)],[c_0_64,c_0_47]) ).
cnf(c_0_66,negated_conjecture,
~ r1(X1),
inference(spm,[status(thm)],[c_0_65,c_0_47]) ).
cnf(c_0_67,plain,
$false,
inference(sr,[status(thm)],[c_0_50,c_0_66]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN075+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 03:24:28 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.50 % Version: 3.5.1
% 0.16/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.50 % Starting sh5l with 300s (1) cores
% 0.16/0.50 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1908161 completed with status 0
% 0.16/0.50 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.50 % No SInE strategy applied
% 0.16/0.50 % Search class: FGHSM-FFMF21-SFFFFFNN
% 0.16/0.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.50 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/0.50 % Starting new_bool_3 with 136s (1) cores
% 0.16/0.50 % Starting new_bool_1 with 136s (1) cores
% 0.16/0.50 % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1908169 completed with status 0
% 0.16/0.50 % Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.50 % No SInE strategy applied
% 0.16/0.50 % Search class: FGHSM-FFMF21-SFFFFFNN
% 0.16/0.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.50 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/0.50 % Preprocessing time : 0.002 s
% 0.16/0.50 % Presaturation interreduction done
% 0.16/0.50
% 0.16/0.50 % Proof found!
% 0.16/0.50 % SZS status Theorem
% 0.16/0.50 % SZS output start CNFRefutation
% See solution above
% 0.16/0.50 % Parsed axioms : 12
% 0.16/0.50 % Removed by relevancy pruning/SinE : 0
% 0.16/0.50 % Initial clauses : 40
% 0.16/0.50 % Removed in clause preprocessing : 12
% 0.16/0.50 % Initial clauses in saturation : 28
% 0.16/0.50 % Processed clauses : 165
% 0.16/0.50 % ...of these trivial : 0
% 0.16/0.50 % ...subsumed : 30
% 0.16/0.50 % ...remaining for further processing : 135
% 0.16/0.50 % Other redundant clauses eliminated : 7
% 0.16/0.50 % Clauses deleted for lack of memory : 0
% 0.16/0.50 % Backward-subsumed : 37
% 0.16/0.50 % Backward-rewritten : 17
% 0.16/0.50 % Generated clauses : 282
% 0.16/0.50 % ...of the previous two non-redundant : 270
% 0.16/0.50 % ...aggressively subsumed : 0
% 0.16/0.50 % Contextual simplify-reflections : 2
% 0.16/0.50 % Paramodulations : 271
% 0.16/0.50 % Factorizations : 0
% 0.16/0.50 % NegExts : 0
% 0.16/0.50 % Equation resolutions : 7
% 0.16/0.50 % Disequality decompositions : 0
% 0.16/0.50 % Total rewrite steps : 54
% 0.16/0.50 % ...of those cached : 21
% 0.16/0.50 % Propositional unsat checks : 0
% 0.16/0.50 % Propositional check models : 0
% 0.16/0.50 % Propositional check unsatisfiable : 0
% 0.16/0.50 % Propositional clauses : 0
% 0.16/0.50 % Propositional clauses after purity: 0
% 0.16/0.50 % Propositional unsat core size : 0
% 0.16/0.50 % Propositional preprocessing time : 0.000
% 0.16/0.50 % Propositional encoding time : 0.000
% 0.16/0.50 % Propositional solver time : 0.000
% 0.16/0.50 % Success case prop preproc time : 0.000
% 0.16/0.50 % Success case prop encoding time : 0.000
% 0.16/0.50 % Success case prop solver time : 0.000
% 0.16/0.50 % Current number of processed clauses : 42
% 0.16/0.50 % Positive orientable unit clauses : 25
% 0.16/0.50 % Positive unorientable unit clauses: 0
% 0.16/0.50 % Negative unit clauses : 1
% 0.16/0.50 % Non-unit-clauses : 16
% 0.16/0.50 % Current number of unprocessed clauses: 154
% 0.16/0.50 % ...number of literals in the above : 1503
% 0.16/0.50 % Current number of archived formulas : 0
% 0.16/0.50 % Current number of archived clauses : 90
% 0.16/0.50 % Clause-clause subsumption calls (NU) : 2477
% 0.16/0.50 % Rec. Clause-clause subsumption calls : 889
% 0.16/0.50 % Non-unit clause-clause subsumptions : 29
% 0.16/0.50 % Unit Clause-clause subsumption calls : 55
% 0.16/0.50 % Rewrite failures with RHS unbound : 0
% 0.16/0.50 % BW rewrite match attempts : 26
% 0.16/0.50 % BW rewrite match successes : 17
% 0.16/0.50 % Condensation attempts : 0
% 0.16/0.50 % Condensation successes : 0
% 0.16/0.50 % Termbank termtop insertions : 9549
% 0.16/0.50 % Search garbage collected termcells : 554
% 0.16/0.50
% 0.16/0.50 % -------------------------------------------------
% 0.16/0.50 % User time : 0.059 s
% 0.16/0.50 % System time : 0.003 s
% 0.16/0.50 % Total time : 0.062 s
% 0.16/0.50 % Maximum resident set size: 3672 pages
% 0.16/0.50
% 0.16/0.50 % -------------------------------------------------
% 0.16/0.50 % User time : 0.234 s
% 0.16/0.50 % System time : 0.025 s
% 0.16/0.50 % Total time : 0.259 s
% 0.16/0.50 % Maximum resident set size: 4608 pages
% 0.16/0.50 % E exiting
%------------------------------------------------------------------------------