TSTP Solution File: NUN055+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUN055+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 16:26:00 EDT 2022
% Result : Theorem 1.03s 119.22s
% Output : CNFRefutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 106 ( 32 unt; 0 def)
% Number of atoms : 352 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 439 ( 193 ~; 183 |; 63 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-2 aty)
% Number of variables : 252 ( 7 sgn 70 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( id(X2,X1)
& r1(X2) )
| ( ~ r1(X2)
& ~ id(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1) ).
fof(axiom_4a,axiom,
! [X54] :
? [X55] :
( id(X55,X54)
& ? [X56] :
( r1(X56)
& r3(X54,X56,X55) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
fof(axiom_7,axiom,
! [X17,X18,X19] :
( ~ id(X17,X18)
| id(X17,X19)
| ~ id(X18,X19) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7) ).
fof(axiom_6,axiom,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
fof(axiom_8,axiom,
! [X20,X21] :
( ~ id(X20,X21)
| ( ~ r1(X20)
& ~ r1(X21) )
| ( r1(X20)
& r1(X21) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_8) ).
fof(axiom_10,axiom,
! [X26,X27,X28,X29,X30,X31] :
( ~ id(X26,X29)
| ~ id(X27,X30)
| ~ id(X28,X31)
| ( ~ r3(X26,X27,X28)
& ~ r3(X29,X30,X31) )
| ( r3(X26,X27,X28)
& r3(X29,X30,X31) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_10) ).
fof(axiom_7a,axiom,
! [X65,X66] :
( ! [X67] :
( ~ id(X67,X66)
| ~ r1(X67) )
| ~ r2(X65,X66) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).
fof(axiom_6a,axiom,
! [X61] :
( ? [X62] :
( id(X61,X62)
& r1(X62) )
| ? [X63,X64] :
( id(X61,X64)
& r2(X63,X64) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_6a) ).
fof(axiom_5,axiom,
! [X14] : id(X14,X14),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
fof(axiom_9,axiom,
! [X22,X23,X24,X25] :
( ~ id(X22,X24)
| ~ id(X23,X25)
| ( ~ r2(X22,X23)
& ~ r2(X24,X25) )
| ( r2(X22,X23)
& r2(X24,X25) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_9) ).
fof(axiom_3,axiom,
! [X6,X7] :
? [X8] :
! [X9] :
( ( id(X9,X8)
& r3(X6,X7,X9) )
| ( ~ r3(X6,X7,X9)
& ~ id(X9,X8) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_3) ).
fof(axiom_1a,axiom,
! [X38,X39] :
? [X40] :
( ? [X41] :
( id(X41,X40)
& ? [X42] :
( r2(X39,X42)
& r3(X38,X42,X41) ) )
& ? [X43] :
( r2(X43,X40)
& r3(X38,X39,X43) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1a) ).
fof(axiom_2,axiom,
! [X3] :
? [X4] :
! [X5] :
( ( id(X5,X4)
& r2(X3,X5) )
| ( ~ r2(X3,X5)
& ~ id(X5,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_2) ).
fof(zeroplustwoidtwo,conjecture,
? [X63] :
( ? [X46] :
( ? [X40] :
( r2(X40,X46)
& ? [X49] :
( r1(X49)
& r2(X49,X40) ) )
& ? [X43] :
( r1(X43)
& r3(X43,X46,X63) ) )
& ? [X47] :
( id(X63,X47)
& ? [X41] :
( r2(X41,X47)
& ? [X58] :
( r1(X58)
& r2(X58,X41) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',zeroplustwoidtwo) ).
fof(c_0_14,plain,
! [X4] :
( ( ~ r1(X4)
| id(X4,esk9_0) )
& ( ~ id(X4,esk9_0)
| id(X4,esk9_0) )
& ( ~ r1(X4)
| r1(X4) )
& ( ~ id(X4,esk9_0)
| r1(X4) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_1])])])]) ).
fof(c_0_15,plain,
! [X57] :
( id(esk10_1(X57),X57)
& r1(esk11_1(X57))
& r3(X57,esk11_1(X57),esk10_1(X57)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_4a])])])]) ).
fof(c_0_16,plain,
! [X20,X21,X22] :
( ~ id(X20,X21)
| id(X20,X22)
| ~ id(X21,X22) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_7])]) ).
cnf(c_0_17,plain,
( id(X1,esk9_0)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
r1(esk11_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_19,plain,
! [X17,X18] :
( ~ id(X17,X18)
| id(X18,X17) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_6])]) ).
cnf(c_0_20,plain,
( id(X3,X2)
| ~ id(X1,X2)
| ~ id(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
id(esk11_1(X1),esk9_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_22,plain,
! [X22,X23] :
( ( r1(X22)
| ~ r1(X22)
| ~ id(X22,X23) )
& ( r1(X23)
| ~ r1(X22)
| ~ id(X22,X23) )
& ( r1(X22)
| ~ r1(X23)
| ~ id(X22,X23) )
& ( r1(X23)
| ~ r1(X23)
| ~ id(X22,X23) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_8])])]) ).
cnf(c_0_23,plain,
id(esk10_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( id(X1,X2)
| ~ id(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( id(esk11_1(X1),X2)
| ~ id(esk9_0,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_26,plain,
! [X32,X33,X34,X35,X36,X37] :
( ( r3(X32,X33,X34)
| ~ r3(X32,X33,X34)
| ~ id(X32,X35)
| ~ id(X33,X36)
| ~ id(X34,X37) )
& ( r3(X35,X36,X37)
| ~ r3(X32,X33,X34)
| ~ id(X32,X35)
| ~ id(X33,X36)
| ~ id(X34,X37) )
& ( r3(X32,X33,X34)
| ~ r3(X35,X36,X37)
| ~ id(X32,X35)
| ~ id(X33,X36)
| ~ id(X34,X37) )
& ( r3(X35,X36,X37)
| ~ r3(X35,X36,X37)
| ~ id(X32,X35)
| ~ id(X33,X36)
| ~ id(X34,X37) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_10])])]) ).
cnf(c_0_27,plain,
( r1(X1)
| ~ id(X1,X2)
| ~ r1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
( id(esk10_1(X1),X2)
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_23]) ).
cnf(c_0_29,plain,
( id(X1,esk11_1(X2))
| ~ id(esk9_0,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
id(X1,esk10_1(X1)),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
fof(c_0_31,plain,
! [X68,X69,X70] :
( ~ id(X70,X69)
| ~ r1(X70)
| ~ r2(X68,X69) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_7a])])])])]) ).
fof(c_0_32,plain,
! [X65] :
( ( id(X65,esk8_1(X65))
| id(X65,esk6_1(X65)) )
& ( r2(esk7_1(X65),esk8_1(X65))
| id(X65,esk6_1(X65)) )
& ( id(X65,esk8_1(X65))
| r1(esk6_1(X65)) )
& ( r2(esk7_1(X65),esk8_1(X65))
| r1(esk6_1(X65)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_6a])])])])]) ).
cnf(c_0_33,plain,
( r3(X6,X4,X2)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X5,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
r3(X1,esk11_1(X1),esk10_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_35,plain,
( r1(esk10_1(X1))
| ~ r1(X2)
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,plain,
id(esk10_1(esk9_0),esk11_1(X1)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
( ~ r2(X1,X2)
| ~ r1(X3)
| ~ id(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
( id(X1,esk6_1(X1))
| r2(esk7_1(X1),esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( r3(X1,X2,X3)
| ~ id(esk11_1(X4),X2)
| ~ id(esk10_1(X4),X3)
| ~ id(X4,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,plain,
r1(esk10_1(esk10_1(esk9_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_18])]) ).
fof(c_0_41,plain,
! [X15] : id(X15,X15),
inference(variable_rename,[status(thm)],[axiom_5]) ).
cnf(c_0_42,plain,
( id(X1,esk6_1(X1))
| ~ r1(X2)
| ~ id(X2,esk8_1(X1)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
( id(X1,esk6_1(X1))
| id(X1,esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,plain,
( r3(X1,esk9_0,X2)
| ~ id(esk10_1(X3),X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_21]) ).
cnf(c_0_45,plain,
id(esk10_1(esk10_1(esk9_0)),esk9_0),
inference(spm,[status(thm)],[c_0_17,c_0_40]) ).
cnf(c_0_46,plain,
( r1(esk10_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_23]) ).
cnf(c_0_47,plain,
( r1(X1)
| ~ id(X1,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_48,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,plain,
( id(X1,esk6_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_50,plain,
! [X26,X27,X28,X29] :
( ( r2(X26,X27)
| ~ r2(X26,X27)
| ~ id(X26,X28)
| ~ id(X27,X29) )
& ( r2(X28,X29)
| ~ r2(X26,X27)
| ~ id(X26,X28)
| ~ id(X27,X29) )
& ( r2(X26,X27)
| ~ r2(X28,X29)
| ~ id(X26,X28)
| ~ id(X27,X29) )
& ( r2(X28,X29)
| ~ r2(X28,X29)
| ~ id(X26,X28)
| ~ id(X27,X29) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_9])])]) ).
fof(c_0_51,plain,
! [X10,X11,X13] :
( ( ~ r3(X10,X11,X13)
| id(X13,esk12_2(X10,X11)) )
& ( ~ id(X13,esk12_2(X10,X11))
| id(X13,esk12_2(X10,X11)) )
& ( ~ r3(X10,X11,X13)
| r3(X10,X11,X13) )
& ( ~ id(X13,esk12_2(X10,X11))
| r3(X10,X11,X13) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_3])])])]) ).
fof(c_0_52,plain,
! [X44,X45] :
( id(esk3_2(X44,X45),esk2_2(X44,X45))
& r2(X45,esk4_2(X44,X45))
& r3(X44,esk4_2(X44,X45),esk3_2(X44,X45))
& r2(esk5_2(X44,X45),esk2_2(X44,X45))
& r3(X44,X45,esk5_2(X44,X45)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_1a])])])]) ).
cnf(c_0_53,plain,
( r3(X1,esk9_0,esk9_0)
| ~ id(esk10_1(esk9_0),X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_54,plain,
( id(esk10_1(X1),esk9_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_46]) ).
cnf(c_0_55,plain,
r1(esk9_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_56,plain,
( id(esk6_1(X1),X1)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_49]) ).
cnf(c_0_57,plain,
( r2(X4,X2)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,plain,
( id(X1,esk12_2(X2,X3))
| ~ r3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_59,plain,
r3(X1,X2,esk5_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_60,plain,
r3(esk9_0,esk9_0,esk9_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_61,plain,
( id(esk6_1(X1),X2)
| ~ r1(X1)
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_56]) ).
cnf(c_0_62,plain,
( r2(esk6_1(X1),X2)
| ~ r2(X1,X3)
| ~ r1(X1)
| ~ id(X3,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_49]) ).
cnf(c_0_63,plain,
id(esk5_2(X1,X2),esk12_2(X1,X2)),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
( r1(X2)
| ~ id(X1,X2)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_65,plain,
id(esk9_0,esk12_2(esk9_0,esk9_0)),
inference(spm,[status(thm)],[c_0_58,c_0_60]) ).
fof(c_0_66,plain,
! [X6,X8] :
( ( ~ r2(X6,X8)
| id(X8,esk1_1(X6)) )
& ( ~ id(X8,esk1_1(X6))
| id(X8,esk1_1(X6)) )
& ( ~ r2(X6,X8)
| r2(X6,X8) )
& ( ~ id(X8,esk1_1(X6))
| r2(X6,X8) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_2])])])]) ).
fof(c_0_67,negated_conjecture,
~ ? [X63] :
( ? [X46] :
( ? [X40] :
( r2(X40,X46)
& ? [X49] :
( r1(X49)
& r2(X49,X40) ) )
& ? [X43] :
( r1(X43)
& r3(X43,X46,X63) ) )
& ? [X47] :
( id(X63,X47)
& ? [X41] :
( r2(X41,X47)
& ? [X58] :
( r1(X58)
& r2(X58,X41) ) ) ) ),
inference(assume_negation,[status(cth)],[zeroplustwoidtwo]) ).
cnf(c_0_68,plain,
( r2(X1,X2)
| ~ r2(esk6_1(X3),X4)
| ~ r1(X3)
| ~ id(X4,X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_61]) ).
cnf(c_0_69,plain,
( r2(esk6_1(X1),esk10_1(X2))
| ~ r2(X1,X2)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_30]) ).
cnf(c_0_70,plain,
( r1(esk5_2(X1,X2))
| ~ r1(esk12_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_27,c_0_63]) ).
cnf(c_0_71,plain,
r1(esk12_2(esk9_0,esk9_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_55])]) ).
cnf(c_0_72,plain,
id(esk3_2(X1,X2),esk2_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_73,plain,
( id(X1,esk1_1(X2))
| ~ r2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_74,plain,
r2(esk5_2(X1,X2),esk2_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_75,negated_conjecture,
! [X64,X65,X66,X67,X68,X69,X70,X71] :
( ~ r2(X66,X65)
| ~ r1(X67)
| ~ r2(X67,X66)
| ~ r1(X68)
| ~ r3(X68,X65,X64)
| ~ id(X64,X69)
| ~ r2(X70,X69)
| ~ r1(X71)
| ~ r2(X71,X70) ),
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_67])])])])]) ).
cnf(c_0_76,plain,
( r2(X1,X2)
| ~ r2(X3,X4)
| ~ r1(X3)
| ~ id(esk10_1(X4),X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_77,plain,
r1(esk5_2(esk9_0,esk9_0)),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_78,plain,
( r2(X1,X2)
| ~ id(X2,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_79,plain,
( id(esk3_2(X1,X2),X3)
| ~ id(esk2_2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_72]) ).
cnf(c_0_80,plain,
id(esk2_2(X1,X2),esk1_1(esk5_2(X1,X2))),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_81,negated_conjecture,
( ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X2,X3)
| ~ id(X4,X3)
| ~ r3(X5,X6,X4)
| ~ r1(X5)
| ~ r2(X7,X8)
| ~ r1(X7)
| ~ r2(X8,X6) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_82,plain,
r3(X1,esk4_2(X1,X2),esk3_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_83,plain,
( r2(X1,X2)
| ~ r2(X3,X2)
| ~ r1(X3)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_23]) ).
cnf(c_0_84,plain,
id(esk5_2(esk9_0,esk9_0),esk9_0),
inference(spm,[status(thm)],[c_0_17,c_0_77]) ).
cnf(c_0_85,plain,
( r2(X1,esk10_1(X2))
| ~ id(X2,esk1_1(X1)) ),
inference(spm,[status(thm)],[c_0_78,c_0_28]) ).
cnf(c_0_86,plain,
id(esk3_2(X1,X2),esk1_1(esk5_2(X1,X2))),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_87,negated_conjecture,
( ~ r2(X1,esk4_2(X2,X3))
| ~ r2(X4,X1)
| ~ r2(X5,X6)
| ~ r2(X7,X5)
| ~ r1(X4)
| ~ r1(X2)
| ~ r1(X7)
| ~ id(esk3_2(X2,X3),X6) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_88,plain,
r2(X1,esk4_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_89,plain,
( r2(X1,X2)
| ~ r2(X1,X3)
| ~ id(X3,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_48]) ).
cnf(c_0_90,plain,
( r2(esk9_0,X1)
| ~ r2(esk5_2(esk9_0,esk9_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_77])]) ).
cnf(c_0_91,plain,
r2(esk5_2(X1,X2),esk10_1(esk3_2(X1,X2))),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_92,plain,
id(esk3_2(X1,X2),esk12_2(X1,esk4_2(X1,X2))),
inference(spm,[status(thm)],[c_0_58,c_0_82]) ).
cnf(c_0_93,negated_conjecture,
( ~ r2(X1,X2)
| ~ r2(X3,X4)
| ~ r2(X5,X3)
| ~ r1(X1)
| ~ r1(X6)
| ~ r1(X5)
| ~ id(esk3_2(X6,X2),X4) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_94,plain,
( r2(X1,X2)
| ~ r2(X1,esk10_1(X3))
| ~ id(X3,X2) ),
inference(spm,[status(thm)],[c_0_89,c_0_28]) ).
cnf(c_0_95,plain,
r2(esk9_0,esk10_1(esk3_2(esk9_0,esk9_0))),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_96,plain,
( id(esk3_2(X1,X2),X3)
| ~ id(esk12_2(X1,esk4_2(X1,X2)),X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_92]) ).
cnf(c_0_97,plain,
id(esk12_2(X1,X2),esk5_2(X1,X2)),
inference(spm,[status(thm)],[c_0_24,c_0_63]) ).
cnf(c_0_98,negated_conjecture,
( ~ r2(X1,esk2_2(X2,X3))
| ~ r2(X4,X3)
| ~ r2(X5,X1)
| ~ r1(X4)
| ~ r1(X2)
| ~ r1(X5) ),
inference(spm,[status(thm)],[c_0_93,c_0_72]) ).
cnf(c_0_99,plain,
( r2(esk9_0,X1)
| ~ id(esk3_2(esk9_0,esk9_0),X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_100,plain,
id(esk3_2(X1,X2),esk5_2(X1,esk4_2(X1,X2))),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_101,negated_conjecture,
( ~ r2(X1,esk5_2(X2,X3))
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r1(X2)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_74]) ).
cnf(c_0_102,plain,
r2(esk9_0,esk5_2(esk9_0,esk4_2(esk9_0,esk9_0))),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_103,negated_conjecture,
( ~ r2(X1,esk4_2(esk9_0,esk9_0))
| ~ r1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_55])]) ).
cnf(c_0_104,plain,
( r2(esk12_2(esk9_0,esk9_0),X1)
| ~ r2(esk9_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_65]),c_0_55])]) ).
cnf(c_0_105,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_71]),c_0_88])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN055+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 2 02:35:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.37/23.40 eprover: CPU time limit exceeded, terminating
% 0.37/23.40 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
% 0.53/46.42 eprover: CPU time limit exceeded, terminating
% 0.53/46.42 eprover: CPU time limit exceeded, terminating
% 0.53/46.43 eprover: CPU time limit exceeded, terminating
% 0.53/46.43 eprover: CPU time limit exceeded, terminating
% 0.70/69.43 eprover: CPU time limit exceeded, terminating
% 0.70/69.43 eprover: CPU time limit exceeded, terminating
% 0.70/69.44 eprover: CPU time limit exceeded, terminating
% 0.70/69.46 eprover: CPU time limit exceeded, terminating
% 0.86/92.44 eprover: CPU time limit exceeded, terminating
% 0.86/92.46 eprover: CPU time limit exceeded, terminating
% 0.86/92.46 eprover: CPU time limit exceeded, terminating
% 0.86/92.48 eprover: CPU time limit exceeded, terminating
% 1.02/115.47 eprover: CPU time limit exceeded, terminating
% 1.02/115.48 eprover: CPU time limit exceeded, terminating
% 1.02/115.49 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.02/115.49
% 1.03/119.22 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.03/119.22
% 1.03/119.22 # Failure: Resource limit exceeded (time)
% 1.03/119.22 # OLD status Res
% 1.03/119.22 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.03/119.22 # Preprocessing time : 0.017 s
% 1.03/119.22 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 1.03/119.22
% 1.03/119.22 # Failure: Resource limit exceeded (time)
% 1.03/119.22 # OLD status Res
% 1.03/119.22 # Preprocessing time : 0.011 s
% 1.03/119.22 # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 1.03/119.22
% 1.03/119.22 # Failure: Resource limit exceeded (time)
% 1.03/119.22 # OLD status Res
% 1.03/119.22 # Preprocessing time : 0.009 s
% 1.03/119.22 # Running protocol protocol_eprover_761a0d093d9701c0eed884aebb46468e8d439c31 for 23 seconds:
% 1.03/119.22
% 1.03/119.22 # Failure: Resource limit exceeded (time)
% 1.03/119.22 # OLD status Res
% 1.03/119.22 # SinE strategy is GSinE(CountFormulas,hypos,1.2,,,100,1.0)
% 1.03/119.22 # Preprocessing time : 0.009 s
% 1.03/119.22 # Running protocol protocol_eprover_bb5e3cecdbc7660bd3a6f864cadb7769d8aea26a for 23 seconds:
% 1.03/119.22
% 1.03/119.22 # Failure: Resource limit exceeded (time)
% 1.03/119.22 # OLD status Res
% 1.03/119.22 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,,500,1.0)
% 1.03/119.22 # Preprocessing time : 0.010 s
% 1.03/119.22 # Running protocol protocol_eprover_e252f7803940d118fa0ef69fc2319cb55aee23b9 for 23 seconds:
% 1.03/119.22 # SinE strategy is GSinE(CountFormulas,,1.4,,03,100,1.0)
% 1.03/119.22 # Preprocessing time : 0.011 s
% 1.03/119.22
% 1.03/119.22 # Proof found!
% 1.03/119.22 # SZS status Theorem
% 1.03/119.22 # SZS output start CNFRefutation
% See solution above
% 1.03/119.22 # Proof object total steps : 106
% 1.03/119.22 # Proof object clause steps : 77
% 1.03/119.22 # Proof object formula steps : 29
% 1.03/119.22 # Proof object conjectures : 10
% 1.03/119.22 # Proof object clause conjectures : 7
% 1.03/119.22 # Proof object formula conjectures : 3
% 1.03/119.22 # Proof object initial clauses used : 24
% 1.03/119.22 # Proof object initial formulas used : 14
% 1.03/119.22 # Proof object generating inferences : 53
% 1.03/119.22 # Proof object simplifying inferences : 15
% 1.03/119.22 # Training examples: 0 positive, 0 negative
% 1.03/119.22 # Parsed axioms : 19
% 1.03/119.22 # Removed by relevancy pruning/SinE : 4
% 1.03/119.22 # Initial clauses : 42
% 1.03/119.22 # Removed in clause preprocessing : 12
% 1.03/119.22 # Initial clauses in saturation : 30
% 1.03/119.22 # Processed clauses : 12172
% 1.03/119.22 # ...of these trivial : 640
% 1.03/119.22 # ...subsumed : 7193
% 1.03/119.22 # ...remaining for further processing : 4339
% 1.03/119.22 # Other redundant clauses eliminated : 0
% 1.03/119.22 # Clauses deleted for lack of memory : 93171
% 1.03/119.22 # Backward-subsumed : 99
% 1.03/119.22 # Backward-rewritten : 18
% 1.03/119.22 # Generated clauses : 317375
% 1.03/119.22 # ...of the previous two non-trivial : 292477
% 1.03/119.22 # Contextual simplify-reflections : 0
% 1.03/119.22 # Paramodulations : 317375
% 1.03/119.22 # Factorizations : 0
% 1.03/119.22 # Equation resolutions : 0
% 1.03/119.22 # Current number of processed clauses : 4222
% 1.03/119.22 # Positive orientable unit clauses : 979
% 1.03/119.22 # Positive unorientable unit clauses: 0
% 1.03/119.22 # Negative unit clauses : 112
% 1.03/119.22 # Non-unit-clauses : 3131
% 1.03/119.22 # Current number of unprocessed clauses: 175190
% 1.03/119.22 # ...number of literals in the above : 616357
% 1.03/119.22 # Current number of archived formulas : 0
% 1.03/119.22 # Current number of archived clauses : 117
% 1.03/119.22 # Clause-clause subsumption calls (NU) : 822607
% 1.03/119.22 # Rec. Clause-clause subsumption calls : 368860
% 1.03/119.22 # Non-unit clause-clause subsumptions : 2854
% 1.03/119.22 # Unit Clause-clause subsumption calls : 230643
% 1.03/119.22 # Rewrite failures with RHS unbound : 0
% 1.03/119.22 # BW rewrite match attempts : 3253
% 1.03/119.22 # BW rewrite match successes : 10
% 1.03/119.22 # Condensation attempts : 0
% 1.03/119.22 # Condensation successes : 0
% 1.03/119.22 # Termbank termtop insertions : 5996938
% 1.03/119.22
% 1.03/119.22 # -------------------------------------------------
% 1.03/119.22 # User time : 2.834 s
% 1.03/119.22 # System time : 0.071 s
% 1.03/119.22 # Total time : 2.905 s
% 1.03/119.22 # Maximum resident set size: 127936 pages
% 1.03/138.50 eprover: CPU time limit exceeded, terminating
% 1.03/138.51 eprover: CPU time limit exceeded, terminating
% 1.03/138.51 eprover: CPU time limit exceeded, terminating
% 1.03/138.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.03/138.52 eprover: No such file or directory
% 1.03/138.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.03/138.52 eprover: No such file or directory
% 1.03/138.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.03/138.52 eprover: No such file or directory
% 1.03/138.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.03/138.53 eprover: No such file or directory
% 1.03/138.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.03/138.53 eprover: No such file or directory
% 1.03/138.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.03/138.53 eprover: No such file or directory
% 1.03/138.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.03/138.53 eprover: No such file or directory
% 1.03/138.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.03/138.53 eprover: No such file or directory
% 1.03/138.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.03/138.53 eprover: No such file or directory
% 1.03/138.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.03/138.54 eprover: No such file or directory
% 1.03/138.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.03/138.54 eprover: No such file or directory
% 1.03/138.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.03/138.54 eprover: No such file or directory
% 1.03/138.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.03/138.54 eprover: No such file or directory
% 1.03/138.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.03/138.54 eprover: No such file or directory
% 1.03/138.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.03/138.54 eprover: No such file or directory
% 1.03/138.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.03/138.55 eprover: No such file or directory
% 1.03/138.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.03/138.55 eprover: No such file or directory
% 1.03/138.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.03/138.55 eprover: No such file or directory
%------------------------------------------------------------------------------