TSTP Solution File: NUN058+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUN058+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 : 600s
% DateTime : Mon Jul 18 16:26:01 EDT 2022
% Result : Theorem 1.83s 248.98s
% Output : CNFRefutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 109 ( 52 unt; 0 def)
% Number of atoms : 341 ( 79 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 419 ( 187 ~; 156 |; 72 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-2 aty)
% Number of variables : 326 ( 32 sgn 62 !; 47 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_4,axiom,
! [X10,X11] :
? [X12] :
! [X13] :
( ( ~ r4(X10,X11,X13)
& X13 != X12 )
| ( r4(X10,X11,X13)
& X13 = X12 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
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/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
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(evengreq4,conjecture,
? [X39] :
( ? [X22,X16] :
( ? [X25] :
( ? [X42] :
( r4(X42,X22,X25)
& ? [X28] :
( r2(X28,X42)
& ? [X24] :
( r1(X24)
& r2(X24,X28) ) ) )
& X25 = X39 )
& ? [X34] :
( r3(X22,X16,X34)
& X34 = X39 ) )
& ? [X23,X17] :
( X17 = X39
& ? [X19] :
( r3(X23,X19,X17)
& ? [X31] :
( r2(X31,X19)
& ? [X40] :
( r2(X40,X31)
& ? [X29] :
( r2(X29,X40)
& ? [X18] :
( r1(X18)
& r2(X18,X29) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',evengreq4) ).
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(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_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_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_5a,axiom,
! [X33] :
? [X34] :
( ? [X35] :
( r1(X35)
& r4(X33,X35,X34) )
& ? [X36] :
( r1(X36)
& X34 = X36 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
fof(c_0_9,plain,
! [X14,X15,X17] :
( ( r4(X14,X15,X17)
| ~ r4(X14,X15,X17) )
& ( X17 = esk13_2(X14,X15)
| ~ r4(X14,X15,X17) )
& ( r4(X14,X15,X17)
| X17 != esk13_2(X14,X15) )
& ( X17 = esk13_2(X14,X15)
| X17 != esk13_2(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_4])])])]) ).
fof(c_0_10,plain,
! [X26,X27] :
( r2(X27,esk16_2(X26,X27))
& r4(X26,esk16_2(X26,X27),esk15_2(X26,X27))
& esk15_2(X26,X27) = esk14_2(X26,X27)
& r3(esk17_2(X26,X27),X26,esk14_2(X26,X27))
& r4(X26,X27,esk17_2(X26,X27)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_2a])])])]) ).
fof(c_0_11,plain,
! [X6,X8] :
( ( r2(X6,X8)
| ~ r2(X6,X8) )
& ( X8 = esk1_1(X6)
| ~ r2(X6,X8) )
& ( r2(X6,X8)
| X8 != esk1_1(X6) )
& ( X8 = esk1_1(X6)
| X8 != esk1_1(X6) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_2])])])]) ).
cnf(c_0_12,plain,
( X3 = esk13_2(X1,X2)
| ~ r4(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
r4(X1,X2,esk17_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
r4(X1,esk16_2(X1,X2),esk15_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
esk15_2(X1,X2) = esk14_2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( X2 = esk1_1(X1)
| ~ r2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
r2(X1,esk16_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_18,negated_conjecture,
~ ? [X39] :
( ? [X22,X16] :
( ? [X25] :
( ? [X42] :
( r4(X42,X22,X25)
& ? [X28] :
( r2(X28,X42)
& ? [X24] :
( r1(X24)
& r2(X24,X28) ) ) )
& X25 = X39 )
& ? [X34] :
( r3(X22,X16,X34)
& X34 = X39 ) )
& ? [X23,X17] :
( X17 = X39
& ? [X19] :
( r3(X23,X19,X17)
& ? [X31] :
( r2(X31,X19)
& ? [X40] :
( r2(X40,X31)
& ? [X29] :
( r2(X29,X40)
& ? [X18] :
( r1(X18)
& r2(X18,X29) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[evengreq4]) ).
fof(c_0_19,plain,
! [X10,X11,X13] :
( ( r3(X10,X11,X13)
| ~ r3(X10,X11,X13) )
& ( X13 = esk6_2(X10,X11)
| ~ r3(X10,X11,X13) )
& ( r3(X10,X11,X13)
| X13 != esk6_2(X10,X11) )
& ( X13 = esk6_2(X10,X11)
| X13 != esk6_2(X10,X11) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_3])])])]) ).
fof(c_0_20,plain,
! [X20,X21] :
( r2(X21,esk9_2(X20,X21))
& r3(X20,esk9_2(X20,X21),esk8_2(X20,X21))
& esk8_2(X20,X21) = esk7_2(X20,X21)
& r2(esk10_2(X20,X21),esk7_2(X20,X21))
& r3(X20,X21,esk10_2(X20,X21)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_1a])])])]) ).
cnf(c_0_21,plain,
esk13_2(X1,X2) = esk17_2(X1,X2),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_22,plain,
r4(X1,esk16_2(X1,X2),esk14_2(X1,X2)),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_23,plain,
esk16_2(X1,X2) = esk1_1(X2),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_24,negated_conjecture,
! [X43,X44,X46,X47,X48,X49,X45,X50,X51,X52,X53,X54,X55,X56,X57] :
( ~ r4(X47,X44,X46)
| ~ r2(X48,X47)
| ~ r1(X49)
| ~ r2(X49,X48)
| X46 != X43
| ~ r3(X44,X45,X50)
| X50 != X43
| X52 != X43
| ~ r3(X51,X53,X52)
| ~ r2(X54,X53)
| ~ r2(X55,X54)
| ~ r2(X56,X55)
| ~ r1(X57)
| ~ r2(X57,X56) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])]) ).
cnf(c_0_25,plain,
( X3 = esk6_2(X1,X2)
| ~ r3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
r3(X1,X2,esk10_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( X1 = esk17_2(X2,X3)
| ~ r4(X2,X3,X1) ),
inference(rw,[status(thm)],[c_0_12,c_0_21]) ).
cnf(c_0_28,plain,
r4(X1,esk1_1(X2),esk14_2(X1,X2)),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
r3(X1,esk9_2(X1,X2),esk8_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,plain,
esk8_2(X1,X2) = esk7_2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,plain,
r2(X1,esk9_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,negated_conjecture,
( ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X2,X3)
| ~ r2(X3,X4)
| ~ r2(X4,X5)
| ~ r3(X6,X5,X7)
| X7 != X8
| X9 != X8
| ~ r3(X10,X11,X9)
| X12 != X8
| ~ r2(X13,X14)
| ~ r1(X13)
| ~ r2(X14,X15)
| ~ r4(X15,X10,X12) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
esk6_2(X1,X2) = esk10_2(X1,X2),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,plain,
r3(esk17_2(X1,X2),X1,esk14_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_35,plain,
esk14_2(X1,X2) = esk17_2(X1,esk1_1(X2)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,plain,
r3(X1,esk9_2(X1,X2),esk7_2(X1,X2)),
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
esk9_2(X1,X2) = esk1_1(X2),
inference(spm,[status(thm)],[c_0_16,c_0_31]) ).
cnf(c_0_38,plain,
r2(esk10_2(X1,X2),esk7_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_39,plain,
! [X33] :
( r1(esk12_1(X33))
& r3(X33,esk12_1(X33),esk11_1(X33))
& esk11_1(X33) = X33 ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_4a])])])]) ).
fof(c_0_40,plain,
! [X4] :
( ( r1(X4)
| ~ r1(X4) )
& ( X4 = esk2_0
| ~ r1(X4) )
& ( r1(X4)
| X4 != esk2_0 )
& ( X4 = esk2_0
| X4 != esk2_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_1])])])]) ).
cnf(c_0_41,negated_conjecture,
( ~ r4(X1,X2,X3)
| ~ r3(X2,X4,X3)
| ~ r3(X5,X6,X3)
| ~ r2(X7,X1)
| ~ r2(X8,X7)
| ~ r2(X9,X6)
| ~ r2(X10,X9)
| ~ r2(X11,X10)
| ~ r2(X12,X11)
| ~ r1(X8)
| ~ r1(X12) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_32])])]) ).
cnf(c_0_42,plain,
( X1 = esk10_2(X2,X3)
| ~ r3(X2,X3,X1) ),
inference(rw,[status(thm)],[c_0_25,c_0_33]) ).
cnf(c_0_43,plain,
r3(esk17_2(X1,X2),X1,esk17_2(X1,esk1_1(X2))),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_44,plain,
r3(X1,esk1_1(X2),esk7_2(X1,X2)),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_45,plain,
esk7_2(X1,X2) = esk1_1(esk10_2(X1,X2)),
inference(spm,[status(thm)],[c_0_16,c_0_38]) ).
cnf(c_0_46,plain,
r3(X1,esk12_1(X1),esk11_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
esk11_1(X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
( X1 = esk2_0
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
r1(esk12_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,negated_conjecture,
( ~ r3(X1,X2,esk17_2(X3,X1))
| ~ r3(X4,X5,esk17_2(X3,X1))
| ~ r2(X6,X3)
| ~ r2(X7,X6)
| ~ r2(X8,X5)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r2(X11,X10)
| ~ r1(X7)
| ~ r1(X11) ),
inference(spm,[status(thm)],[c_0_41,c_0_13]) ).
cnf(c_0_51,plain,
esk17_2(X1,esk1_1(X2)) = esk10_2(esk17_2(X1,X2),X1),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_52,plain,
r3(X1,esk1_1(X2),esk1_1(esk10_2(X1,X2))),
inference(rw,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_53,plain,
r3(X1,esk12_1(X1),X1),
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_54,plain,
esk12_1(X1) = esk2_0,
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( ~ r3(esk1_1(X1),X2,esk10_2(esk17_2(X3,X1),X3))
| ~ r3(X4,X5,esk10_2(esk17_2(X3,X1),X3))
| ~ r2(X6,X3)
| ~ r2(X7,X6)
| ~ r2(X8,X5)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r2(X11,X10)
| ~ r1(X7)
| ~ r1(X11) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,plain,
esk10_2(X1,esk1_1(X2)) = esk1_1(esk10_2(X1,X2)),
inference(spm,[status(thm)],[c_0_42,c_0_52]) ).
cnf(c_0_57,plain,
r3(X1,esk2_0,X1),
inference(rw,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_58,plain,
( ~ epred30_0
<=> ! [X6,X5] :
( ~ r1(X6)
| ~ r2(X6,X5)
| ~ r2(X5,esk1_1(esk1_1(esk2_0))) ) ),
introduced(definition) ).
cnf(c_0_59,plain,
( r2(X2,X1)
| X1 != esk1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_60,plain,
! [X37] :
( r1(esk19_1(X37))
& r4(X37,esk19_1(X37),esk18_1(X37))
& r1(esk20_1(X37))
& esk18_1(X37) = esk20_1(X37) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_5a])])])]) ).
cnf(c_0_61,negated_conjecture,
( ~ r3(esk1_1(X1),X2,esk1_1(esk10_2(esk17_2(esk1_1(X3),X1),X3)))
| ~ r3(X4,X5,esk1_1(esk10_2(esk17_2(esk1_1(X3),X1),X3)))
| ~ r2(X6,esk1_1(X3))
| ~ r2(X7,X6)
| ~ r2(X8,X5)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r2(X11,X10)
| ~ r1(X7)
| ~ r1(X11) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_62,plain,
esk6_2(X1,esk2_0) = X1,
inference(spm,[status(thm)],[c_0_25,c_0_57]) ).
cnf(c_0_63,negated_conjecture,
( epred30_0
| ~ r2(X1,esk1_1(esk1_1(esk2_0)))
| ~ r2(X2,X1)
| ~ r1(X2) ),
inference(split_equiv,[status(thm)],[c_0_58]) ).
cnf(c_0_64,plain,
r2(X1,esk1_1(X1)),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_65,plain,
( r1(X1)
| X1 != esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_66,plain,
r1(esk19_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_67,plain,
r1(esk20_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_68,plain,
esk18_1(X1) = esk20_1(X1),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_69,plain,
( r3(X2,X3,X1)
| X1 != esk6_2(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_70,plain,
( ~ epred29_0
<=> ! [X10,X9,X8,X7,X4,X3,X2,X1] :
( ~ r1(X10)
| ~ r2(X10,X9)
| ~ r2(X9,X8)
| ~ r2(X8,X7)
| ~ r2(X7,X4)
| ~ r3(X3,X4,esk1_1(esk1_1(esk17_2(esk1_1(esk1_1(esk2_0)),X1))))
| ~ r3(esk1_1(X1),X2,esk1_1(esk1_1(esk17_2(esk1_1(esk1_1(esk2_0)),X1)))) ) ),
introduced(definition) ).
cnf(c_0_71,negated_conjecture,
( ~ r3(esk1_1(X1),X2,esk1_1(esk1_1(esk10_2(esk17_2(esk1_1(esk1_1(X3)),X1),X3))))
| ~ r3(X4,X5,esk1_1(esk1_1(esk10_2(esk17_2(esk1_1(esk1_1(X3)),X1),X3))))
| ~ r2(X6,esk1_1(esk1_1(X3)))
| ~ r2(X7,X6)
| ~ r2(X8,X5)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r2(X11,X10)
| ~ r1(X7)
| ~ r1(X11) ),
inference(spm,[status(thm)],[c_0_61,c_0_56]) ).
cnf(c_0_72,plain,
esk10_2(X1,esk2_0) = X1,
inference(rw,[status(thm)],[c_0_62,c_0_33]) ).
cnf(c_0_73,negated_conjecture,
( epred30_0
| ~ r2(X1,esk1_1(esk2_0))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_74,plain,
r1(esk2_0),
inference(er,[status(thm)],[c_0_65]) ).
cnf(c_0_75,plain,
r4(X1,esk19_1(X1),esk18_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_76,plain,
esk19_1(X1) = esk2_0,
inference(spm,[status(thm)],[c_0_48,c_0_66]) ).
cnf(c_0_77,plain,
r1(esk18_1(X1)),
inference(rw,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_78,plain,
( r3(X1,X2,X3)
| X3 != esk10_2(X1,X2) ),
inference(rw,[status(thm)],[c_0_69,c_0_33]) ).
cnf(c_0_79,negated_conjecture,
( ~ epred30_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_70]),c_0_58]) ).
cnf(c_0_80,negated_conjecture,
epred30_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_64]),c_0_74])]) ).
cnf(c_0_81,plain,
r4(X1,esk2_0,esk18_1(X1)),
inference(rw,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_82,plain,
esk18_1(X1) = esk2_0,
inference(spm,[status(thm)],[c_0_48,c_0_77]) ).
cnf(c_0_83,plain,
( r3(X1,esk1_1(X2),X3)
| X3 != esk1_1(esk10_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_78,c_0_56]) ).
cnf(c_0_84,negated_conjecture,
~ epred29_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80])]) ).
cnf(c_0_85,plain,
r4(X1,esk2_0,esk2_0),
inference(rw,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_86,plain,
( r3(X1,esk1_1(esk1_1(X2)),X3)
| X3 != esk1_1(esk1_1(esk10_2(X1,X2))) ),
inference(spm,[status(thm)],[c_0_83,c_0_56]) ).
cnf(c_0_87,negated_conjecture,
( ~ r3(esk1_1(X1),X2,esk1_1(esk1_1(esk17_2(esk1_1(esk1_1(esk2_0)),X1))))
| ~ r3(X3,X4,esk1_1(esk1_1(esk17_2(esk1_1(esk1_1(esk2_0)),X1))))
| ~ r2(X5,X6)
| ~ r2(X6,X7)
| ~ r2(X7,X8)
| ~ r2(X8,X4)
| ~ r1(X5) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_70]),c_0_84]) ).
cnf(c_0_88,plain,
esk13_2(X1,esk2_0) = esk2_0,
inference(spm,[status(thm)],[c_0_12,c_0_85]) ).
fof(c_0_89,plain,
( ~ epred31_0
<=> ! [X1] : ~ r3(esk1_1(esk1_1(esk2_0)),X1,esk1_1(esk1_1(esk1_1(esk1_1(esk2_0))))) ),
introduced(definition) ).
cnf(c_0_90,plain,
( r3(X1,esk1_1(esk1_1(esk2_0)),X2)
| X2 != esk1_1(esk1_1(X1)) ),
inference(spm,[status(thm)],[c_0_86,c_0_72]) ).
fof(c_0_91,plain,
( ~ epred32_0
<=> ! [X7,X6,X5,X4,X3,X2] :
( ~ r1(X4)
| ~ r2(X7,X3)
| ~ r2(X6,X7)
| ~ r2(X5,X6)
| ~ r2(X4,X5)
| ~ r3(X2,X3,esk1_1(esk1_1(esk1_1(esk1_1(esk2_0))))) ) ),
introduced(definition) ).
cnf(c_0_92,negated_conjecture,
( ~ r3(esk1_1(esk1_1(X1)),X2,esk1_1(esk1_1(esk1_1(esk1_1(esk17_2(esk1_1(esk1_1(esk2_0)),X1))))))
| ~ r3(X3,X4,esk1_1(esk1_1(esk1_1(esk1_1(esk17_2(esk1_1(esk1_1(esk2_0)),X1))))))
| ~ r2(X5,X6)
| ~ r2(X6,X7)
| ~ r2(X7,X8)
| ~ r2(X8,X4)
| ~ r1(X5) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_51]),c_0_56]),c_0_56]),c_0_72]),c_0_56]),c_0_56]),c_0_72]) ).
cnf(c_0_93,plain,
esk17_2(X1,esk2_0) = esk2_0,
inference(rw,[status(thm)],[c_0_88,c_0_21]) ).
cnf(c_0_94,negated_conjecture,
( epred31_0
| ~ r3(esk1_1(esk1_1(esk2_0)),X1,esk1_1(esk1_1(esk1_1(esk1_1(esk2_0))))) ),
inference(split_equiv,[status(thm)],[c_0_89]) ).
cnf(c_0_95,plain,
r3(X1,esk1_1(esk1_1(esk2_0)),esk1_1(esk1_1(X1))),
inference(er,[status(thm)],[c_0_90]) ).
cnf(c_0_96,plain,
( r3(X1,esk1_1(esk1_1(esk1_1(X2))),X3)
| X3 != esk1_1(esk1_1(esk1_1(esk10_2(X1,X2)))) ),
inference(spm,[status(thm)],[c_0_86,c_0_56]) ).
cnf(c_0_97,negated_conjecture,
( ~ epred32_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_89]),c_0_91]) ).
cnf(c_0_98,negated_conjecture,
epred31_0,
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,plain,
( r3(X1,esk1_1(esk1_1(esk1_1(esk1_1(X2)))),X3)
| X3 != esk1_1(esk1_1(esk1_1(esk1_1(esk10_2(X1,X2))))) ),
inference(spm,[status(thm)],[c_0_96,c_0_56]) ).
cnf(c_0_100,negated_conjecture,
~ epred32_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98])]) ).
cnf(c_0_101,plain,
( r3(X1,esk1_1(esk1_1(esk1_1(esk1_1(esk2_0)))),X2)
| X2 != esk1_1(esk1_1(esk1_1(esk1_1(X1)))) ),
inference(spm,[status(thm)],[c_0_99,c_0_72]) ).
cnf(c_0_102,negated_conjecture,
( ~ r3(X1,X2,esk1_1(esk1_1(esk1_1(esk1_1(esk2_0)))))
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r1(X6) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_91]),c_0_100]) ).
cnf(c_0_103,plain,
r3(X1,esk1_1(esk1_1(esk1_1(esk1_1(esk2_0)))),esk1_1(esk1_1(esk1_1(esk1_1(X1))))),
inference(er,[status(thm)],[c_0_101]) ).
cnf(c_0_104,negated_conjecture,
( ~ r2(X1,esk1_1(esk1_1(esk1_1(esk1_1(esk2_0)))))
| ~ r2(X2,X1)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X4) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_105,negated_conjecture,
( ~ r2(X1,esk1_1(esk1_1(esk1_1(esk2_0))))
| ~ r2(X2,X1)
| ~ r2(X3,X2)
| ~ r1(X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_64]) ).
cnf(c_0_106,negated_conjecture,
( ~ r2(X1,esk1_1(esk1_1(esk2_0)))
| ~ r2(X2,X1)
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_105,c_0_64]) ).
cnf(c_0_107,negated_conjecture,
( ~ r2(X1,esk1_1(esk2_0))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_64]) ).
cnf(c_0_108,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_64]),c_0_74])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUN058+2 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 2 04:09:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.37/23.41 eprover: CPU time limit exceeded, terminating
% 0.37/23.41 eprover: CPU time limit exceeded, terminating
% 0.37/23.42 eprover: CPU time limit exceeded, terminating
% 0.37/23.46 eprover: CPU time limit exceeded, terminating
% 0.52/46.42 eprover: CPU time limit exceeded, terminating
% 0.52/46.43 eprover: CPU time limit exceeded, terminating
% 0.52/46.44 eprover: CPU time limit exceeded, terminating
% 0.52/46.47 eprover: CPU time limit exceeded, terminating
% 0.68/69.44 eprover: CPU time limit exceeded, terminating
% 0.68/69.46 eprover: CPU time limit exceeded, terminating
% 0.68/69.47 eprover: CPU time limit exceeded, terminating
% 0.68/69.48 eprover: CPU time limit exceeded, terminating
% 0.82/92.47 eprover: CPU time limit exceeded, terminating
% 0.82/92.47 eprover: CPU time limit exceeded, terminating
% 0.82/92.49 eprover: CPU time limit exceeded, terminating
% 0.82/92.50 eprover: CPU time limit exceeded, terminating
% 0.98/115.49 eprover: CPU time limit exceeded, terminating
% 0.98/115.49 eprover: CPU time limit exceeded, terminating
% 0.98/115.51 eprover: CPU time limit exceeded, terminating
% 0.98/115.54 eprover: CPU time limit exceeded, terminating
% 1.13/138.50 eprover: CPU time limit exceeded, terminating
% 1.13/138.51 eprover: CPU time limit exceeded, terminating
% 1.13/138.51 eprover: CPU time limit exceeded, terminating
% 1.13/138.56 eprover: CPU time limit exceeded, terminating
% 1.28/161.51 eprover: CPU time limit exceeded, terminating
% 1.28/161.52 eprover: CPU time limit exceeded, terminating
% 1.28/161.54 eprover: CPU time limit exceeded, terminating
% 1.28/161.57 eprover: CPU time limit exceeded, terminating
% 1.41/184.53 eprover: CPU time limit exceeded, terminating
% 1.41/184.53 eprover: CPU time limit exceeded, terminating
% 1.41/184.55 eprover: CPU time limit exceeded, terminating
% 1.41/184.63 eprover: CPU time limit exceeded, terminating
% 1.56/207.55 eprover: CPU time limit exceeded, terminating
% 1.56/207.57 eprover: CPU time limit exceeded, terminating
% 1.56/207.58 eprover: CPU time limit exceeded, terminating
% 1.56/207.64 eprover: CPU time limit exceeded, terminating
% 1.71/230.58 eprover: CPU time limit exceeded, terminating
% 1.71/230.59 eprover: CPU time limit exceeded, terminating
% 1.71/230.59 eprover: CPU time limit exceeded, terminating
% 1.71/230.65 eprover: CPU time limit exceeded, terminating
% 1.83/248.98 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.83/248.98
% 1.83/248.98 # Failure: Resource limit exceeded (time)
% 1.83/248.98 # OLD status Res
% 1.83/248.98 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.83/248.98 # Preprocessing time : 0.016 s
% 1.83/248.98 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 1.83/248.98
% 1.83/248.98 # Failure: Resource limit exceeded (time)
% 1.83/248.98 # OLD status Res
% 1.83/248.98 # Preprocessing time : 0.017 s
% 1.83/248.98 # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 1.83/248.98
% 1.83/248.98 # Failure: Resource limit exceeded (time)
% 1.83/248.98 # OLD status Res
% 1.83/248.98 # Preprocessing time : 0.009 s
% 1.83/248.98 # Running protocol protocol_eprover_761a0d093d9701c0eed884aebb46468e8d439c31 for 23 seconds:
% 1.83/248.98
% 1.83/248.98 # Failure: Resource limit exceeded (time)
% 1.83/248.98 # OLD status Res
% 1.83/248.98 # SinE strategy is GSinE(CountFormulas,hypos,1.2,,,100,1.0)
% 1.83/248.98 # Preprocessing time : 0.018 s
% 1.83/248.98 # Running protocol protocol_eprover_bb5e3cecdbc7660bd3a6f864cadb7769d8aea26a for 23 seconds:
% 1.83/248.98
% 1.83/248.98 # Failure: Resource limit exceeded (time)
% 1.83/248.98 # OLD status Res
% 1.83/248.98 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,,500,1.0)
% 1.83/248.98 # Preprocessing time : 0.016 s
% 1.83/248.98 # Running protocol protocol_eprover_e252f7803940d118fa0ef69fc2319cb55aee23b9 for 23 seconds:
% 1.83/248.98
% 1.83/248.98 # Failure: Resource limit exceeded (time)
% 1.83/248.98 # OLD status Res
% 1.83/248.98 # SinE strategy is GSinE(CountFormulas,,1.4,,03,100,1.0)
% 1.83/248.98 # Preprocessing time : 0.017 s
% 1.83/248.98 # Running protocol protocol_eprover_b1d72019af42f5b571a6c0b233a5b6d1de064075 for 23 seconds:
% 1.83/248.98
% 1.83/248.98 # Failure: Resource limit exceeded (time)
% 1.83/248.98 # OLD status Res
% 1.83/248.98 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,500,1.0)
% 1.83/248.98 # Preprocessing time : 0.016 s
% 1.83/248.98 # Running protocol protocol_eprover_e96ef4641ae500918cdd95fcfce21e29f2ac5eec for 23 seconds:
% 1.83/248.98
% 1.83/248.98 # Failure: Resource limit exceeded (time)
% 1.83/248.98 # OLD status Res
% 1.83/248.98 # SinE strategy is GSinE(CountFormulas,,6.0,,03,100,1.0)
% 1.83/248.98 # Preprocessing time : 0.016 s
% 1.83/248.98 # Running protocol protocol_eprover_1f734394cb6ce69b36c9826f6782d3567d6ecd6c for 23 seconds:
% 1.83/248.98
% 1.83/248.98 # Failure: Resource limit exceeded (time)
% 1.83/248.98 # OLD status Res
% 1.83/248.98 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,20000,1.0)
% 1.83/248.98 # Preprocessing time : 0.017 s
% 1.83/248.98 # Running protocol protocol_eprover_e9eb28a402764e1f99b41605245cd0a359f475fb for 23 seconds:
% 1.83/248.98
% 1.83/248.98 # Failure: Resource limit exceeded (time)
% 1.83/248.98 # OLD status Res
% 1.83/248.98 # Preprocessing time : 0.010 s
% 1.83/248.98 # Running protocol protocol_eprover_3dd3316ad6e39f95bf120b2757347c6970e0a532 for 23 seconds:
% 1.83/248.98 # SinE strategy is GSinE(CountFormulas,,1.1,,01,500,1.0)
% 1.83/248.98 # Preprocessing time : 0.009 s
% 1.83/248.98
% 1.83/248.98 # Proof found!
% 1.83/248.98 # SZS status Theorem
% 1.83/248.98 # SZS output start CNFRefutation
% See solution above
% 1.83/248.98 # Proof object total steps : 109
% 1.83/248.98 # Proof object clause steps : 86
% 1.83/248.98 # Proof object formula steps : 23
% 1.83/248.98 # Proof object conjectures : 26
% 1.83/248.98 # Proof object clause conjectures : 23
% 1.83/248.98 # Proof object formula conjectures : 3
% 1.83/248.98 # Proof object initial clauses used : 27
% 1.83/248.98 # Proof object initial formulas used : 9
% 1.83/248.98 # Proof object generating inferences : 38
% 1.83/248.98 # Proof object simplifying inferences : 39
% 1.83/248.98 # Training examples: 0 positive, 0 negative
% 1.83/248.98 # Parsed axioms : 12
% 1.83/248.98 # Removed by relevancy pruning/SinE : 0
% 1.83/248.98 # Initial clauses : 40
% 1.83/248.98 # Removed in clause preprocessing : 12
% 1.83/248.98 # Initial clauses in saturation : 28
% 1.83/248.98 # Processed clauses : 31456
% 1.83/248.98 # ...of these trivial : 12
% 1.83/248.98 # ...subsumed : 23708
% 1.83/248.98 # ...remaining for further processing : 7736
% 1.83/248.98 # Other redundant clauses eliminated : 2974
% 1.83/248.98 # Clauses deleted for lack of memory : 317336
% 1.83/248.98 # Backward-subsumed : 833
% 1.83/248.98 # Backward-rewritten : 314
% 1.83/248.98 # Generated clauses : 496262
% 1.83/248.98 # ...of the previous two non-trivial : 484463
% 1.83/248.98 # Contextual simplify-reflections : 22898
% 1.83/248.98 # Paramodulations : 489548
% 1.83/248.98 # Factorizations : 2
% 1.83/248.98 # Equation resolutions : 6670
% 1.83/248.98 # Current number of processed clauses : 6574
% 1.83/248.98 # Positive orientable unit clauses : 62
% 1.83/248.98 # Positive unorientable unit clauses: 0
% 1.83/248.98 # Negative unit clauses : 9
% 1.83/248.98 # Non-unit-clauses : 6503
% 1.83/248.98 # Current number of unprocessed clauses: 109468
% 1.83/248.98 # ...number of literals in the above : 653973
% 1.83/248.98 # Current number of archived formulas : 0
% 1.83/248.98 # Current number of archived clauses : 1151
% 1.83/248.98 # Clause-clause subsumption calls (NU) : 22695921
% 1.83/248.98 # Rec. Clause-clause subsumption calls : 1848829
% 1.83/248.98 # Non-unit clause-clause subsumptions : 47245
% 1.83/248.98 # Unit Clause-clause subsumption calls : 49063
% 1.83/248.98 # Rewrite failures with RHS unbound : 0
% 1.83/248.98 # BW rewrite match attempts : 3840
% 1.83/248.98 # BW rewrite match successes : 68
% 1.83/248.98 # Condensation attempts : 0
% 1.83/248.98 # Condensation successes : 0
% 1.83/248.98 # Termbank termtop insertions : 19389234
% 1.83/248.98
% 1.83/248.98 # -------------------------------------------------
% 1.83/248.98 # User time : 17.360 s
% 1.83/248.98 # System time : 0.099 s
% 1.83/248.98 # Total time : 17.459 s
% 1.83/248.98 # Maximum resident set size: 135608 pages
% 1.83/253.60 eprover: CPU time limit exceeded, terminating
% 1.83/253.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.83/253.61 eprover: No such file or directory
% 1.83/253.63 eprover: CPU time limit exceeded, terminating
% 1.83/253.64 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/253.64 eprover: No such file or directory
% 1.83/253.66 eprover: CPU time limit exceeded, terminating
% 1.83/253.68 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.83/253.68 eprover: No such file or directory
%------------------------------------------------------------------------------