TSTP Solution File: NUN077+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUN077+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 16:26:05 EDT 2022
% Result : Theorem 0.91s 121.08s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 91 ( 46 unt; 0 def)
% Number of atoms : 351 ( 62 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 465 ( 205 ~; 181 |; 76 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-2 aty)
% Number of variables : 307 ( 13 sgn 58 !; 47 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_3,axiom,
! [X6,X7] :
? [X8] :
! [X9] :
( ( ~ r3(X6,X7,X9)
& X9 != X8 )
| ( r3(X6,X7,X9)
& X9 = X8 ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
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/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
fof(twotimesthreeeqsix,conjecture,
? [X39] :
( ? [X22] :
( X39 = X22
& ? [X23] :
( r2(X23,X22)
& ? [X16] :
( r2(X16,X23)
& ? [X17] :
( r2(X17,X16)
& ? [X19] :
( r2(X19,X17)
& ? [X42] :
( r2(X42,X19)
& ? [X29] :
( r1(X29)
& r2(X29,X42) ) ) ) ) ) ) )
& ? [X25] :
( ? [X34] :
( r2(X34,X25)
& ? [X40] :
( r2(X40,X34)
& ? [X24] :
( r1(X24)
& r2(X24,X40) ) ) )
& ? [X31] :
( r4(X31,X25,X39)
& ? [X28] :
( r2(X28,X31)
& ? [X18] :
( r1(X18)
& r2(X18,X28) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',twotimesthreeeqsix) ).
fof(axiom_4a,axiom,
! [X30] :
? [X31] :
( ? [X32] :
( r1(X32)
& r3(X30,X32,X31) )
& X31 = X30 ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
fof(axiom_4,axiom,
! [X10,X11] :
? [X12] :
! [X13] :
( ( ~ r4(X10,X11,X13)
& X13 != X12 )
| ( r4(X10,X11,X13)
& X13 = X12 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
fof(axiom_5a,axiom,
! [X33] :
? [X34] :
( ? [X35] :
( r1(X35)
& r4(X33,X35,X34) )
& ? [X36] :
( r1(X36)
& X34 = X36 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
fof(c_0_9,plain,
! [X10,X11,X13] :
( ( r3(X10,X11,X13)
| ~ r3(X10,X11,X13) )
& ( X13 = esk3_2(X10,X11)
| ~ r3(X10,X11,X13) )
& ( r3(X10,X11,X13)
| X13 != esk3_2(X10,X11) )
& ( X13 = esk3_2(X10,X11)
| X13 != esk3_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_10,plain,
! [X20,X21] :
( r2(X21,esk7_2(X20,X21))
& r3(X20,esk7_2(X20,X21),esk6_2(X20,X21))
& esk6_2(X20,X21) = esk5_2(X20,X21)
& r2(esk8_2(X20,X21),esk5_2(X20,X21))
& r3(X20,X21,esk8_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_11,plain,
( X3 = esk3_2(X1,X2)
| ~ r3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
r3(X1,X2,esk8_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X6,X8] :
( ( r2(X6,X8)
| ~ r2(X6,X8) )
& ( X8 = esk2_1(X6)
| ~ r2(X6,X8) )
& ( r2(X6,X8)
| X8 != esk2_1(X6) )
& ( X8 = esk2_1(X6)
| X8 != esk2_1(X6) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_2])])])]) ).
fof(c_0_14,plain,
! [X26,X27] :
( r2(X27,esk11_2(X26,X27))
& r4(X26,esk11_2(X26,X27),esk10_2(X26,X27))
& esk10_2(X26,X27) = esk9_2(X26,X27)
& r3(esk12_2(X26,X27),X26,esk9_2(X26,X27))
& r4(X26,X27,esk12_2(X26,X27)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_2a])])])]) ).
cnf(c_0_15,plain,
esk3_2(X1,X2) = esk8_2(X1,X2),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
r3(X1,esk7_2(X1,X2),esk6_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
esk6_2(X1,X2) = esk5_2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( X2 = esk2_1(X1)
| ~ r2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
r2(X1,esk7_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
r2(esk8_2(X1,X2),esk5_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_21,negated_conjecture,
~ ? [X39] :
( ? [X22] :
( X39 = X22
& ? [X23] :
( r2(X23,X22)
& ? [X16] :
( r2(X16,X23)
& ? [X17] :
( r2(X17,X16)
& ? [X19] :
( r2(X19,X17)
& ? [X42] :
( r2(X42,X19)
& ? [X29] :
( r1(X29)
& r2(X29,X42) ) ) ) ) ) ) )
& ? [X25] :
( ? [X34] :
( r2(X34,X25)
& ? [X40] :
( r2(X40,X34)
& ? [X24] :
( r1(X24)
& r2(X24,X40) ) ) )
& ? [X31] :
( r4(X31,X25,X39)
& ? [X28] :
( r2(X28,X31)
& ? [X18] :
( r1(X18)
& r2(X18,X28) ) ) ) ) ),
inference(assume_negation,[status(cth)],[twotimesthreeeqsix]) ).
cnf(c_0_22,plain,
r4(X1,esk11_2(X1,X2),esk10_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
esk10_2(X1,X2) = esk9_2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
r2(X1,esk11_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,plain,
( X1 = esk8_2(X2,X3)
| ~ r3(X2,X3,X1) ),
inference(rw,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_26,plain,
r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,plain,
r3(X1,esk7_2(X1,X2),esk5_2(X1,X2)),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_28,plain,
esk7_2(X1,X2) = esk2_1(X2),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_29,plain,
esk5_2(X1,X2) = esk2_1(esk8_2(X1,X2)),
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
fof(c_0_30,negated_conjecture,
! [X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57] :
( X43 != X44
| ~ r2(X45,X44)
| ~ r2(X46,X45)
| ~ r2(X47,X46)
| ~ r2(X48,X47)
| ~ r2(X49,X48)
| ~ r1(X50)
| ~ r2(X50,X49)
| ~ r2(X52,X51)
| ~ r2(X53,X52)
| ~ r1(X54)
| ~ r2(X54,X53)
| ~ r4(X55,X51,X43)
| ~ 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_21])])])])]) ).
cnf(c_0_31,plain,
r4(X1,esk11_2(X1,X2),esk9_2(X1,X2)),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_32,plain,
esk11_2(X1,X2) = esk2_1(X2),
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
cnf(c_0_33,plain,
esk9_2(X1,X2) = esk8_2(esk12_2(X1,X2),X1),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,plain,
r3(X1,esk2_1(X2),esk2_1(esk8_2(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_35,negated_conjecture,
( ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X2,X3)
| ~ r4(X3,X4,X5)
| ~ r2(X6,X7)
| ~ r1(X6)
| ~ r2(X7,X8)
| ~ r2(X8,X4)
| ~ r2(X9,X10)
| ~ r1(X9)
| ~ r2(X10,X11)
| ~ r2(X11,X12)
| ~ r2(X12,X13)
| ~ r2(X13,X14)
| ~ r2(X14,X15)
| X5 != X15 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
r4(X1,esk2_1(X2),esk8_2(esk12_2(X1,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_37,plain,
esk8_2(X1,esk2_1(X2)) = esk2_1(esk8_2(X1,X2)),
inference(spm,[status(thm)],[c_0_25,c_0_34]) ).
fof(c_0_38,plain,
! [X33] :
( r1(esk14_1(X33))
& r3(X33,esk14_1(X33),esk13_1(X33))
& esk13_1(X33) = X33 ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_4a])])])]) ).
cnf(c_0_39,negated_conjecture,
( ~ r4(X1,X2,X3)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(X10,X2)
| ~ r2(X11,X10)
| ~ r2(X12,X11)
| ~ r2(X13,X1)
| ~ r2(X14,X13)
| ~ r1(X9)
| ~ r1(X12)
| ~ r1(X14) ),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_40,plain,
r4(esk2_1(X1),esk2_1(X2),esk2_1(esk8_2(esk12_2(esk2_1(X1),X2),X1))),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
( r2(X2,X1)
| X1 != esk2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_42,plain,
r3(X1,esk14_1(X1),esk13_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_43,plain,
esk13_1(X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_44,plain,
! [X4] :
( ( r1(X4)
| ~ r1(X4) )
& ( X4 = esk1_0
| ~ r1(X4) )
& ( r1(X4)
| X4 != esk1_0 )
& ( X4 = esk1_0
| X4 != esk1_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_1])])])]) ).
cnf(c_0_45,negated_conjecture,
( ~ r2(X1,esk2_1(esk8_2(esk12_2(esk2_1(X2),X3),X2)))
| ~ r2(X4,esk2_1(X3))
| ~ r2(X5,esk2_1(X2))
| ~ r2(X6,X1)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r2(X11,X4)
| ~ r2(X12,X11)
| ~ r2(X13,X5)
| ~ r1(X10)
| ~ r1(X12)
| ~ r1(X13) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
r2(X1,esk2_1(X1)),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
r3(X1,esk14_1(X1),X1),
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
( X1 = esk1_0
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,plain,
r1(esk14_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_50,plain,
( ~ epred22_0
<=> ! [X11,X10] :
( ~ r1(X11)
| ~ r2(X11,X10)
| ~ r2(X10,esk2_1(esk2_1(esk1_0))) ) ),
introduced(definition) ).
cnf(c_0_51,negated_conjecture,
( ~ r2(X1,esk8_2(esk12_2(esk2_1(X2),X3),X2))
| ~ r2(X4,esk2_1(X3))
| ~ r2(X5,esk2_1(X2))
| ~ r2(X6,X1)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(X10,X4)
| ~ r2(X11,X10)
| ~ r2(X12,X5)
| ~ r1(X9)
| ~ r1(X11)
| ~ r1(X12) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
esk3_2(X1,esk14_1(X1)) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_47]) ).
cnf(c_0_53,plain,
esk14_1(X1) = esk1_0,
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
( epred22_0
| ~ r2(X1,esk2_1(esk2_1(esk1_0)))
| ~ r2(X2,X1)
| ~ r1(X2) ),
inference(split_equiv,[status(thm)],[c_0_50]) ).
fof(c_0_55,plain,
! [X14,X15,X17] :
( ( r4(X14,X15,X17)
| ~ r4(X14,X15,X17) )
& ( X17 = esk4_2(X14,X15)
| ~ r4(X14,X15,X17) )
& ( r4(X14,X15,X17)
| X17 != esk4_2(X14,X15) )
& ( X17 = esk4_2(X14,X15)
| X17 != esk4_2(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_4])])])]) ).
cnf(c_0_56,negated_conjecture,
( ~ r2(X1,esk2_1(esk8_2(esk12_2(esk2_1(esk2_1(X2)),X3),X2)))
| ~ r2(X4,esk2_1(esk2_1(X2)))
| ~ r2(X5,esk2_1(X3))
| ~ r2(X6,X1)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(X10,X5)
| ~ r2(X11,X10)
| ~ r2(X12,X4)
| ~ r1(X9)
| ~ r1(X11)
| ~ r1(X12) ),
inference(spm,[status(thm)],[c_0_51,c_0_37]) ).
cnf(c_0_57,plain,
esk3_2(X1,esk1_0) = X1,
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
( epred22_0
| ~ r2(X1,esk2_1(esk1_0))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_46]) ).
cnf(c_0_59,plain,
r1(esk1_0),
inference(rw,[status(thm)],[c_0_49,c_0_53]) ).
cnf(c_0_60,plain,
( X3 = esk4_2(X1,X2)
| ~ r4(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_61,plain,
r4(X1,X2,esk12_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_62,plain,
( ~ epred30_0
<=> ! [X9,X8,X7,X6,X5,X4,X2,X1] :
( ~ r1(X9)
| ~ r1(X7)
| ~ r2(X9,X8)
| ~ r2(X8,X4)
| ~ r2(X7,X6)
| ~ r2(X6,X5)
| ~ r2(X5,X1)
| ~ r2(X4,esk2_1(X2))
| ~ r2(X1,esk12_2(esk2_1(esk2_1(esk1_0)),X2)) ) ),
introduced(definition) ).
cnf(c_0_63,negated_conjecture,
( ~ r2(X1,esk8_2(esk12_2(esk2_1(esk2_1(X2)),X3),X2))
| ~ r2(X4,esk2_1(esk2_1(X2)))
| ~ r2(X5,esk2_1(X3))
| ~ r2(X6,X1)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r2(X9,X5)
| ~ r2(X10,X9)
| ~ r2(X11,X4)
| ~ r1(X8)
| ~ r1(X10)
| ~ r1(X11) ),
inference(spm,[status(thm)],[c_0_56,c_0_46]) ).
cnf(c_0_64,plain,
esk8_2(X1,esk1_0) = X1,
inference(rw,[status(thm)],[c_0_57,c_0_15]) ).
cnf(c_0_65,negated_conjecture,
epred22_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_46]),c_0_59])]) ).
cnf(c_0_66,plain,
esk4_2(X1,X2) = esk12_2(X1,X2),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,negated_conjecture,
~ epred30_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_62]),c_0_50]),c_0_65])]) ).
cnf(c_0_68,plain,
( X1 = esk12_2(X2,X3)
| ~ r4(X2,X3,X1) ),
inference(rw,[status(thm)],[c_0_60,c_0_66]) ).
fof(c_0_69,plain,
! [X37] :
( r1(esk16_1(X37))
& r4(X37,esk16_1(X37),esk15_1(X37))
& r1(esk17_1(X37))
& esk15_1(X37) = esk17_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_70,negated_conjecture,
( ~ r2(X1,esk12_2(esk2_1(esk2_1(esk1_0)),X2))
| ~ r2(X3,esk2_1(X2))
| ~ r2(X4,X5)
| ~ r2(X5,X3)
| ~ r2(X6,X7)
| ~ r2(X7,X8)
| ~ r2(X8,X1)
| ~ r1(X4)
| ~ r1(X6) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_62]),c_0_67]) ).
cnf(c_0_71,plain,
esk12_2(X1,esk2_1(X2)) = esk8_2(esk12_2(X1,X2),X1),
inference(spm,[status(thm)],[c_0_68,c_0_36]) ).
cnf(c_0_72,plain,
r1(esk17_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_73,plain,
esk15_1(X1) = esk17_1(X1),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_74,plain,
( ~ epred8_0
<=> ! [X9,X8,X7] :
( ~ r1(X9)
| ~ r2(X9,X8)
| ~ r2(X8,X7)
| ~ r2(X7,esk2_1(esk2_1(esk2_1(esk1_0)))) ) ),
introduced(definition) ).
cnf(c_0_75,negated_conjecture,
( ~ r2(X1,esk2_1(esk2_1(esk12_2(esk2_1(esk2_1(esk1_0)),X2))))
| ~ r2(X3,esk2_1(esk2_1(X2)))
| ~ r2(X4,X5)
| ~ r2(X5,X3)
| ~ r2(X6,X7)
| ~ r2(X7,X8)
| ~ r2(X8,X1)
| ~ r1(X4)
| ~ r1(X6) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_37]),c_0_37]),c_0_64]) ).
cnf(c_0_76,plain,
r1(esk15_1(X1)),
inference(rw,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_77,plain,
r1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_78,negated_conjecture,
( epred8_0
| ~ r2(X1,esk2_1(esk2_1(esk2_1(esk1_0))))
| ~ r2(X2,X3)
| ~ r2(X3,X1)
| ~ r1(X2) ),
inference(split_equiv,[status(thm)],[c_0_74]) ).
cnf(c_0_79,negated_conjecture,
( ~ r2(X1,esk2_1(esk12_2(esk2_1(esk2_1(esk1_0)),X2)))
| ~ r2(X3,esk2_1(esk2_1(X2)))
| ~ r2(X4,X5)
| ~ r2(X5,X3)
| ~ r2(X6,X7)
| ~ r2(X7,X1)
| ~ r1(X4)
| ~ r1(X6) ),
inference(spm,[status(thm)],[c_0_75,c_0_46]) ).
cnf(c_0_80,plain,
r4(X1,esk16_1(X1),esk15_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_81,plain,
esk15_1(X1) = esk1_0,
inference(spm,[status(thm)],[c_0_48,c_0_76]) ).
cnf(c_0_82,plain,
esk16_1(X1) = esk1_0,
inference(spm,[status(thm)],[c_0_48,c_0_77]) ).
cnf(c_0_83,negated_conjecture,
( epred8_0
| ~ r2(X1,esk2_1(esk2_1(esk1_0)))
| ~ r2(X2,X1)
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_46]) ).
cnf(c_0_84,negated_conjecture,
( ~ r2(X1,esk12_2(esk2_1(esk2_1(esk1_0)),X2))
| ~ r2(X3,esk2_1(esk2_1(X2)))
| ~ r2(X4,X5)
| ~ r2(X5,X3)
| ~ r2(X6,X1)
| ~ r1(X4)
| ~ r1(X6) ),
inference(spm,[status(thm)],[c_0_79,c_0_46]) ).
cnf(c_0_85,plain,
r4(X1,esk1_0,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_86,negated_conjecture,
( epred8_0
| ~ r2(X1,esk2_1(esk1_0))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_46]) ).
cnf(c_0_87,negated_conjecture,
( ~ r2(X1,esk2_1(esk2_1(esk12_2(esk2_1(esk2_1(esk1_0)),X2))))
| ~ r2(X3,esk2_1(esk2_1(esk2_1(X2))))
| ~ r2(X4,X5)
| ~ r2(X5,X3)
| ~ r2(X6,X1)
| ~ r1(X4)
| ~ r1(X6) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_71]),c_0_37]),c_0_37]),c_0_64]) ).
cnf(c_0_88,plain,
esk12_2(X1,esk1_0) = esk1_0,
inference(spm,[status(thm)],[c_0_68,c_0_85]) ).
cnf(c_0_89,negated_conjecture,
epred8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_46]),c_0_59])]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_74]),c_0_50]),c_0_65]),c_0_89])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN077+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 2 04:53:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.42 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.35/23.42
% 0.48/46.42 eprover: CPU time limit exceeded, terminating
% 0.48/46.43 eprover: CPU time limit exceeded, terminating
% 0.48/46.43 eprover: CPU time limit exceeded, terminating
% 0.48/46.43 eprover: CPU time limit exceeded, terminating
% 0.59/69.44 eprover: CPU time limit exceeded, terminating
% 0.59/69.44 eprover: CPU time limit exceeded, terminating
% 0.59/69.44 eprover: CPU time limit exceeded, terminating
% 0.59/69.45 eprover: CPU time limit exceeded, terminating
% 0.74/92.45 eprover: CPU time limit exceeded, terminating
% 0.74/92.45 eprover: CPU time limit exceeded, terminating
% 0.74/92.46 eprover: CPU time limit exceeded, terminating
% 0.74/92.48 eprover: CPU time limit exceeded, terminating
% 0.87/115.46 eprover: CPU time limit exceeded, terminating
% 0.87/115.47 eprover: CPU time limit exceeded, terminating
% 0.87/115.47 eprover: CPU time limit exceeded, terminating
% 0.87/115.50 eprover: CPU time limit exceeded, terminating
% 0.91/121.08 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.91/121.08
% 0.91/121.08 # Failure: Resource limit exceeded (time)
% 0.91/121.08 # OLD status Res
% 0.91/121.08 # Preprocessing time : 0.015 s
% 0.91/121.08 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.91/121.08
% 0.91/121.08 # Failure: Resource limit exceeded (time)
% 0.91/121.08 # OLD status Res
% 0.91/121.08 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.91/121.08 # Preprocessing time : 0.009 s
% 0.91/121.08 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.91/121.08
% 0.91/121.08 # Failure: Resource limit exceeded (time)
% 0.91/121.08 # OLD status Res
% 0.91/121.08 # Preprocessing time : 0.008 s
% 0.91/121.08 # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 0.91/121.08
% 0.91/121.08 # Failure: Resource limit exceeded (time)
% 0.91/121.08 # OLD status Res
% 0.91/121.08 # Preprocessing time : 0.008 s
% 0.91/121.08 # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 0.91/121.08
% 0.91/121.08 # Failure: Resource limit exceeded (time)
% 0.91/121.08 # OLD status Res
% 0.91/121.08 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 0.91/121.08 # Preprocessing time : 0.008 s
% 0.91/121.08 # Running protocol protocol_eprover_95b56b3f38545d2cfee43b45856d192a814b65d5 for 23 seconds:
% 0.91/121.08 # Preprocessing time : 0.008 s
% 0.91/121.08
% 0.91/121.08 # Proof found!
% 0.91/121.08 # SZS status Theorem
% 0.91/121.08 # SZS output start CNFRefutation
% See solution above
% 0.91/121.08 # Proof object total steps : 91
% 0.91/121.08 # Proof object clause steps : 69
% 0.91/121.08 # Proof object formula steps : 22
% 0.91/121.08 # Proof object conjectures : 23
% 0.91/121.08 # Proof object clause conjectures : 20
% 0.91/121.08 # Proof object formula conjectures : 3
% 0.91/121.08 # Proof object initial clauses used : 25
% 0.91/121.08 # Proof object initial formulas used : 9
% 0.91/121.08 # Proof object generating inferences : 30
% 0.91/121.08 # Proof object simplifying inferences : 36
% 0.91/121.08 # Training examples: 0 positive, 0 negative
% 0.91/121.08 # Parsed axioms : 12
% 0.91/121.08 # Removed by relevancy pruning/SinE : 0
% 0.91/121.08 # Initial clauses : 40
% 0.91/121.08 # Removed in clause preprocessing : 12
% 0.91/121.08 # Initial clauses in saturation : 28
% 0.91/121.08 # Processed clauses : 14460
% 0.91/121.08 # ...of these trivial : 148
% 0.91/121.08 # ...subsumed : 10095
% 0.91/121.08 # ...remaining for further processing : 4217
% 0.91/121.08 # Other redundant clauses eliminated : 4436
% 0.91/121.08 # Clauses deleted for lack of memory : 145035
% 0.91/121.08 # Backward-subsumed : 180
% 0.91/121.08 # Backward-rewritten : 40
% 0.91/121.08 # Generated clauses : 296274
% 0.91/121.08 # ...of the previous two non-trivial : 286361
% 0.91/121.08 # Contextual simplify-reflections : 0
% 0.91/121.08 # Paramodulations : 290682
% 0.91/121.08 # Factorizations : 0
% 0.91/121.08 # Equation resolutions : 5516
% 0.91/121.08 # Current number of processed clauses : 3950
% 0.91/121.08 # Positive orientable unit clauses : 57
% 0.91/121.08 # Positive unorientable unit clauses: 0
% 0.91/121.08 # Negative unit clauses : 3
% 0.91/121.08 # Non-unit-clauses : 3890
% 0.91/121.08 # Current number of unprocessed clauses: 114535
% 0.91/121.08 # ...number of literals in the above : 808160
% 0.91/121.08 # Current number of archived formulas : 0
% 0.91/121.08 # Current number of archived clauses : 224
% 0.91/121.08 # Clause-clause subsumption calls (NU) : 1210024
% 0.91/121.08 # Rec. Clause-clause subsumption calls : 117035
% 0.91/121.08 # Non-unit clause-clause subsumptions : 9842
% 0.91/121.08 # Unit Clause-clause subsumption calls : 2646
% 0.91/121.08 # Rewrite failures with RHS unbound : 0
% 0.91/121.08 # BW rewrite match attempts : 308
% 0.91/121.08 # BW rewrite match successes : 21
% 0.91/121.08 # Condensation attempts : 0
% 0.91/121.08 # Condensation successes : 0
% 0.91/121.08 # Termbank termtop insertions : 7310415
% 0.91/121.08
% 0.91/121.08 # -------------------------------------------------
% 0.91/121.08 # User time : 5.360 s
% 0.91/121.08 # System time : 0.086 s
% 0.91/121.08 # Total time : 5.446 s
% 0.91/121.08 # Maximum resident set size: 129600 pages
% 0.91/138.48 eprover: CPU time limit exceeded, terminating
% 0.91/138.48 eprover: CPU time limit exceeded, terminating
% 0.91/138.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.91/138.49 eprover: No such file or directory
% 0.91/138.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.91/138.49 eprover: No such file or directory
% 0.91/138.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.91/138.50 eprover: No such file or directory
% 0.91/138.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.91/138.50 eprover: No such file or directory
% 0.91/138.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.91/138.50 eprover: No such file or directory
% 0.91/138.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.91/138.50 eprover: No such file or directory
% 0.91/138.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.91/138.51 eprover: No such file or directory
% 0.91/138.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.91/138.51 eprover: No such file or directory
% 0.91/138.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.91/138.51 eprover: No such file or directory
% 0.91/138.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.91/138.51 eprover: No such file or directory
% 0.91/138.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.91/138.51 eprover: No such file or directory
% 0.91/138.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.91/138.52 eprover: No such file or directory
% 0.91/138.52 eprover: CPU time limit exceeded, terminating
% 0.91/138.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.91/138.53 eprover: No such file or directory
% 0.91/138.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.91/138.54 eprover: No such file or directory
% 0.91/138.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.91/138.54 eprover: No such file or directory
% 0.91/138.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.91/138.54 eprover: No such file or directory
% 0.91/138.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.91/138.55 eprover: No such file or directory
% 0.91/138.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.91/138.55 eprover: No such file or directory
%------------------------------------------------------------------------------