TSTP Solution File: NUN055+1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUN055+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 02:15:27 EDT 2024
% Result : Theorem 202.49s 23.38s
% Output : CNFRefutation 202.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 91 ( 33 unt; 0 def)
% Number of atoms : 297 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 367 ( 161 ~; 144 |; 62 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-2 aty)
% Number of variables : 252 ( 12 sgn 75 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
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_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_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_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_5,axiom,
! [X14] : id(X14,X14),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
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_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_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_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(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/benchmark/theBenchmark.p',zeroplustwoidtwo) ).
fof(axiom_5a,axiom,
! [X57] :
? [X58] :
( ? [X59] :
( r1(X59)
& r4(X57,X59,X58) )
& ? [X60] :
( id(X58,X60)
& r1(X60) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).
fof(c_0_11,plain,
! [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) ) ),
inference(fof_simplification,[status(thm)],[axiom_10]) ).
fof(c_0_12,plain,
! [X93,X94,X95,X96,X97,X98] :
( ( r3(X93,X94,X95)
| ~ r3(X93,X94,X95)
| ~ id(X93,X96)
| ~ id(X94,X97)
| ~ id(X95,X98) )
& ( r3(X96,X97,X98)
| ~ r3(X93,X94,X95)
| ~ id(X93,X96)
| ~ id(X94,X97)
| ~ id(X95,X98) )
& ( r3(X93,X94,X95)
| ~ r3(X96,X97,X98)
| ~ id(X93,X96)
| ~ id(X94,X97)
| ~ id(X95,X98) )
& ( r3(X96,X97,X98)
| ~ r3(X96,X97,X98)
| ~ id(X93,X96)
| ~ id(X94,X97)
| ~ id(X95,X98) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_11])])]) ).
fof(c_0_13,plain,
! [X121] :
( id(esk13_1(X121),X121)
& r1(esk14_1(X121))
& r3(X121,esk14_1(X121),esk13_1(X121)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_4a])]) ).
fof(c_0_14,plain,
? [X1] :
! [X2] :
( ( id(X2,X1)
& r1(X2) )
| ( ~ r1(X2)
& ~ id(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_15,plain,
( r3(X1,X2,X3)
| ~ r3(X4,X5,X6)
| ~ id(X4,X1)
| ~ id(X5,X2)
| ~ id(X6,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
r3(X1,esk14_1(X1),esk13_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_17,plain,
! [X69] :
( ( ~ r1(X69)
| id(X69,esk1_0) )
& ( ~ id(X69,esk1_0)
| id(X69,esk1_0) )
& ( ~ r1(X69)
| r1(X69) )
& ( ~ id(X69,esk1_0)
| r1(X69) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_14])])])]) ).
cnf(c_0_18,plain,
( r3(X1,X2,X3)
| ~ id(esk13_1(X4),X3)
| ~ id(esk14_1(X4),X2)
| ~ id(X4,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
id(esk13_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( id(X1,esk1_0)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
r1(esk14_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_22,plain,
! [X6,X7] :
? [X8] :
! [X9] :
( ( id(X9,X8)
& r3(X6,X7,X9) )
| ( ~ r3(X6,X7,X9)
& ~ id(X9,X8) ) ),
inference(fof_simplification,[status(thm)],[axiom_3]) ).
cnf(c_0_23,plain,
( r3(X1,X2,X3)
| ~ id(esk14_1(X3),X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
id(esk14_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_25,plain,
! [X81] : id(X81,X81),
inference(variable_rename,[status(thm)],[axiom_5]) ).
fof(c_0_26,plain,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
inference(fof_simplification,[status(thm)],[axiom_6]) ).
fof(c_0_27,plain,
! [X73,X74,X76] :
( ( ~ r3(X73,X74,X76)
| id(X76,esk3_2(X73,X74)) )
& ( ~ id(X76,esk3_2(X73,X74))
| id(X76,esk3_2(X73,X74)) )
& ( ~ r3(X73,X74,X76)
| r3(X73,X74,X76) )
& ( ~ id(X76,esk3_2(X73,X74))
| r3(X73,X74,X76) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_22])])])]) ).
cnf(c_0_28,plain,
( r3(X1,esk1_0,X2)
| ~ id(X2,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_30,plain,
! [X17,X18,X19] :
( ~ id(X17,X18)
| id(X17,X19)
| ~ id(X18,X19) ),
inference(fof_simplification,[status(thm)],[axiom_7]) ).
fof(c_0_31,plain,
! [X82,X83] :
( ~ id(X82,X83)
| id(X83,X82) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_26])]) ).
cnf(c_0_32,plain,
( id(X3,esk3_2(X1,X2))
| ~ r3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
r3(X1,esk1_0,X1),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_34,plain,
! [X22,X23,X24,X25] :
( ~ id(X22,X24)
| ~ id(X23,X25)
| ( ~ r2(X22,X23)
& ~ r2(X24,X25) )
| ( r2(X22,X23)
& r2(X24,X25) ) ),
inference(fof_simplification,[status(thm)],[axiom_9]) ).
fof(c_0_35,plain,
! [X84,X85,X86] :
( ~ id(X84,X85)
| id(X84,X86)
| ~ id(X85,X86) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_30])]) ).
cnf(c_0_36,plain,
( id(X2,X1)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
id(X1,esk3_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_38,plain,
! [X105,X106] :
( id(esk6_2(X105,X106),esk5_2(X105,X106))
& r2(X106,esk7_2(X105,X106))
& r3(X105,esk7_2(X105,X106),esk6_2(X105,X106))
& r2(esk8_2(X105,X106),esk5_2(X105,X106))
& r3(X105,X106,esk8_2(X105,X106)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_1a])]) ).
fof(c_0_39,plain,
! [X89,X90,X91,X92] :
( ( r2(X89,X90)
| ~ r2(X89,X90)
| ~ id(X89,X91)
| ~ id(X90,X92) )
& ( r2(X91,X92)
| ~ r2(X89,X90)
| ~ id(X89,X91)
| ~ id(X90,X92) )
& ( r2(X89,X90)
| ~ r2(X91,X92)
| ~ id(X89,X91)
| ~ id(X90,X92) )
& ( r2(X91,X92)
| ~ r2(X91,X92)
| ~ id(X89,X91)
| ~ id(X90,X92) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_34])])]) ).
cnf(c_0_40,plain,
( id(X1,X3)
| ~ id(X1,X2)
| ~ id(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
id(esk3_2(X1,esk1_0),X1),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
r3(X1,X2,esk8_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_43,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_44,plain,
( r2(X1,X2)
| ~ r2(X3,X4)
| ~ id(X3,X1)
| ~ id(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_45,plain,
( id(X1,X2)
| ~ id(X1,esk3_2(X2,esk1_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
id(esk8_2(X1,X2),esk3_2(X1,X2)),
inference(spm,[status(thm)],[c_0_32,c_0_42]) ).
fof(c_0_47,negated_conjecture,
! [X135,X136,X137,X138,X139,X140,X141,X142] :
( ~ r2(X137,X136)
| ~ r1(X138)
| ~ r2(X138,X137)
| ~ r1(X139)
| ~ r3(X139,X136,X135)
| ~ id(X135,X140)
| ~ r2(X141,X140)
| ~ r1(X142)
| ~ r2(X142,X141) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).
cnf(c_0_48,plain,
( r3(X2,X3,X1)
| ~ id(X1,esk3_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_49,plain,
r3(X1,esk7_2(X1,X2),esk6_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_50,plain,
( r2(X1,X2)
| ~ r2(X3,X4)
| ~ id(X1,X3)
| ~ id(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_51,plain,
id(esk6_2(X1,X2),esk5_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_52,plain,
( r2(X1,X2)
| ~ r2(X3,X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_29]) ).
cnf(c_0_53,plain,
id(esk8_2(X1,esk1_0),X1),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_54,negated_conjecture,
( ~ r2(X1,X2)
| ~ r1(X3)
| ~ r2(X3,X1)
| ~ r1(X4)
| ~ r3(X4,X2,X5)
| ~ id(X5,X6)
| ~ r2(X7,X6)
| ~ r1(X8)
| ~ r2(X8,X7) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_55,plain,
r3(X1,X2,esk3_2(X1,X2)),
inference(spm,[status(thm)],[c_0_48,c_0_29]) ).
cnf(c_0_56,plain,
id(esk6_2(X1,X2),esk3_2(X1,esk7_2(X1,X2))),
inference(spm,[status(thm)],[c_0_32,c_0_49]) ).
cnf(c_0_57,plain,
( r2(X1,esk6_2(X2,X3))
| ~ r2(X4,esk5_2(X2,X3))
| ~ id(X1,X4) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,plain,
r2(esk8_2(X1,X2),esk5_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_59,plain,
( id(X1,X2)
| ~ id(X1,esk13_1(X2)) ),
inference(spm,[status(thm)],[c_0_40,c_0_19]) ).
fof(c_0_60,plain,
! [X124] :
( r1(esk16_1(X124))
& r4(X124,esk16_1(X124),esk15_1(X124))
& id(esk15_1(X124),esk17_1(X124))
& r1(esk17_1(X124)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_5a])]) ).
cnf(c_0_61,plain,
( r2(X1,X2)
| ~ r2(esk8_2(X1,esk1_0),X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_62,negated_conjecture,
( ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X4,X5)
| ~ r2(X5,X6)
| ~ r1(X1)
| ~ r1(X7)
| ~ r1(X4)
| ~ id(esk3_2(X7,X6),X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_63,plain,
id(esk3_2(X1,esk7_2(X1,X2)),esk6_2(X1,X2)),
inference(spm,[status(thm)],[c_0_36,c_0_56]) ).
cnf(c_0_64,plain,
( r2(X1,esk6_2(X2,X3))
| ~ id(X1,esk8_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,plain,
id(esk3_2(X1,X2),esk8_2(X1,X2)),
inference(spm,[status(thm)],[c_0_36,c_0_46]) ).
cnf(c_0_66,plain,
( r2(X1,X2)
| ~ r2(X3,X2)
| ~ id(X1,X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_29]) ).
cnf(c_0_67,plain,
id(esk13_1(esk13_1(X1)),X1),
inference(spm,[status(thm)],[c_0_59,c_0_19]) ).
cnf(c_0_68,plain,
r1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_69,plain,
( r2(X1,esk13_1(X2))
| ~ r2(X3,X2)
| ~ id(X1,X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_19]) ).
cnf(c_0_70,plain,
r2(X1,esk5_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_61,c_0_58]) ).
cnf(c_0_71,negated_conjecture,
( ~ r2(X1,esk6_2(X2,X3))
| ~ r2(X4,esk7_2(X2,X3))
| ~ r2(X5,X1)
| ~ r2(X6,X4)
| ~ r1(X5)
| ~ r1(X2)
| ~ r1(X6) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_72,plain,
r2(esk3_2(X1,X2),esk6_2(X1,X2)),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_73,plain,
( r2(esk13_1(esk13_1(X1)),X2)
| ~ r2(X1,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_74,plain,
r2(X1,esk7_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_75,plain,
id(esk16_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_20,c_0_68]) ).
cnf(c_0_76,plain,
( r2(X1,esk13_1(X2))
| ~ r2(X1,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_29]) ).
cnf(c_0_77,plain,
( r2(X1,esk6_2(X2,esk1_0))
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_70]) ).
cnf(c_0_78,negated_conjecture,
( ~ r2(X1,esk7_2(X2,X3))
| ~ r2(X4,esk3_2(X2,X3))
| ~ r2(X5,X1)
| ~ r1(X4)
| ~ r1(X2)
| ~ r1(X5) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,plain,
r2(esk13_1(esk13_1(X1)),esk7_2(X2,X1)),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,plain,
( r2(esk16_1(X1),esk13_1(X2))
| ~ r2(esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_75]) ).
cnf(c_0_81,plain,
r2(X1,esk13_1(esk7_2(X2,X1))),
inference(spm,[status(thm)],[c_0_76,c_0_74]) ).
cnf(c_0_82,plain,
( r2(X1,esk3_2(X2,esk7_2(X2,X3)))
| ~ r2(X4,esk6_2(X2,X3))
| ~ id(X4,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_56]) ).
cnf(c_0_83,plain,
r2(X1,esk6_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_77,c_0_29]) ).
cnf(c_0_84,negated_conjecture,
( ~ r2(X1,esk13_1(esk13_1(X2)))
| ~ r2(X3,esk3_2(X4,X2))
| ~ r1(X3)
| ~ r1(X4)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_85,plain,
r2(esk16_1(X1),esk13_1(esk13_1(esk7_2(X2,esk1_0)))),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,plain,
( r2(X1,esk3_2(X2,esk7_2(X2,esk1_0)))
| ~ id(X2,X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_87,negated_conjecture,
( ~ r2(X1,esk3_2(X2,esk7_2(X3,esk1_0)))
| ~ r1(X1)
| ~ r1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_68])]) ).
cnf(c_0_88,plain,
r2(X1,esk3_2(X1,esk7_2(X1,esk1_0))),
inference(spm,[status(thm)],[c_0_86,c_0_29]) ).
cnf(c_0_89,negated_conjecture,
~ r1(X1),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_90,plain,
$false,
inference(sr,[status(thm)],[c_0_21,c_0_89]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUN055+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat May 18 15:58:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 202.49/23.38 # Version: 3.1.0
% 202.49/23.38 # Preprocessing class: FSMSSMSSSSSNFFN.
% 202.49/23.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 202.49/23.38 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 202.49/23.38 # Starting new_bool_3 with 300s (1) cores
% 202.49/23.38 # Starting new_bool_1 with 300s (1) cores
% 202.49/23.38 # Starting sh5l with 300s (1) cores
% 202.49/23.38 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 29011 completed with status 0
% 202.49/23.38 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 202.49/23.38 # Preprocessing class: FSMSSMSSSSSNFFN.
% 202.49/23.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 202.49/23.38 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 202.49/23.38 # No SInE strategy applied
% 202.49/23.38 # Search class: FGHNM-FFMF21-SFFFFFNN
% 202.49/23.38 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 202.49/23.38 # Starting H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S with 694s (1) cores
% 202.49/23.38 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 202.49/23.38 # Starting new_bool_3 with 211s (1) cores
% 202.49/23.38 # Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 202.49/23.38 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 202.49/23.38 # H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S with pid 29015 completed with status 0
% 202.49/23.38 # Result found by H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S
% 202.49/23.38 # Preprocessing class: FSMSSMSSSSSNFFN.
% 202.49/23.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 202.49/23.38 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 202.49/23.38 # No SInE strategy applied
% 202.49/23.38 # Search class: FGHNM-FFMF21-SFFFFFNN
% 202.49/23.38 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 202.49/23.38 # Starting H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S with 694s (1) cores
% 202.49/23.38 # Preprocessing time : 0.002 s
% 202.49/23.38
% 202.49/23.38 # Proof found!
% 202.49/23.38 # SZS status Theorem
% 202.49/23.38 # SZS output start CNFRefutation
% See solution above
% 202.49/23.38 # Parsed axioms : 19
% 202.49/23.38 # Removed by relevancy pruning/SinE : 0
% 202.49/23.38 # Initial clauses : 59
% 202.49/23.38 # Removed in clause preprocessing : 16
% 202.49/23.38 # Initial clauses in saturation : 43
% 202.49/23.38 # Processed clauses : 49298
% 202.49/23.38 # ...of these trivial : 5106
% 202.49/23.38 # ...subsumed : 22515
% 202.49/23.38 # ...remaining for further processing : 21677
% 202.49/23.38 # Other redundant clauses eliminated : 0
% 202.49/23.38 # Clauses deleted for lack of memory : 0
% 202.49/23.38 # Backward-subsumed : 6643
% 202.49/23.38 # Backward-rewritten : 296
% 202.49/23.38 # Generated clauses : 2090271
% 202.49/23.38 # ...of the previous two non-redundant : 1999271
% 202.49/23.38 # ...aggressively subsumed : 0
% 202.49/23.38 # Contextual simplify-reflections : 1
% 202.49/23.38 # Paramodulations : 2083764
% 202.49/23.38 # Factorizations : 0
% 202.49/23.38 # NegExts : 0
% 202.49/23.38 # Equation resolutions : 0
% 202.49/23.38 # Disequality decompositions : 0
% 202.49/23.38 # Total rewrite steps : 109183
% 202.49/23.38 # ...of those cached : 103111
% 202.49/23.38 # Propositional unsat checks : 0
% 202.49/23.38 # Propositional check models : 0
% 202.49/23.38 # Propositional check unsatisfiable : 0
% 202.49/23.38 # Propositional clauses : 0
% 202.49/23.38 # Propositional clauses after purity: 0
% 202.49/23.38 # Propositional unsat core size : 0
% 202.49/23.38 # Propositional preprocessing time : 0.000
% 202.49/23.38 # Propositional encoding time : 0.000
% 202.49/23.38 # Propositional solver time : 0.000
% 202.49/23.38 # Success case prop preproc time : 0.000
% 202.49/23.38 # Success case prop encoding time : 0.000
% 202.49/23.38 # Success case prop solver time : 0.000
% 202.49/23.38 # Current number of processed clauses : 8801
% 202.49/23.38 # Positive orientable unit clauses : 3703
% 202.49/23.38 # Positive unorientable unit clauses: 0
% 202.49/23.38 # Negative unit clauses : 27
% 202.49/23.38 # Non-unit-clauses : 5071
% 202.49/23.38 # Current number of unprocessed clauses: 1932561
% 202.49/23.38 # ...number of literals in the above : 2557165
% 202.49/23.38 # Current number of archived formulas : 0
% 202.49/23.38 # Current number of archived clauses : 7639
% 202.49/23.38 # Clause-clause subsumption calls (NU) : 53267055
% 202.49/23.38 # Rec. Clause-clause subsumption calls : 6207254
% 202.49/23.38 # Non-unit clause-clause subsumptions : 28642
% 202.49/23.38 # Unit Clause-clause subsumption calls : 1874200
% 202.49/23.38 # Rewrite failures with RHS unbound : 0
% 202.49/23.38 # BW rewrite match attempts : 32459
% 202.49/23.38 # BW rewrite match successes : 220
% 202.49/23.38 # Condensation attempts : 0
% 202.49/23.38 # Condensation successes : 0
% 202.49/23.38 # Termbank termtop insertions : 23557093
% 202.49/23.38 # Search garbage collected termcells : 458
% 202.49/23.38
% 202.49/23.38 # -------------------------------------------------
% 202.49/23.38 # User time : 21.506 s
% 202.49/23.38 # System time : 0.787 s
% 202.49/23.38 # Total time : 22.293 s
% 202.49/23.38 # Maximum resident set size: 1912 pages
% 202.49/23.38
% 202.49/23.38 # -------------------------------------------------
% 202.49/23.38 # User time : 108.425 s
% 202.49/23.38 # System time : 3.517 s
% 202.49/23.38 # Total time : 111.942 s
% 202.49/23.38 # Maximum resident set size: 1772 pages
% 202.49/23.38 % E---3.1 exiting
% 202.49/23.38 % E exiting
%------------------------------------------------------------------------------