TSTP Solution File: NUN086+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUN086+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:09:13 EDT 2023
% Result : Theorem 31.55s 4.63s
% Output : CNFRefutation 31.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 116 ( 35 unt; 0 def)
% Number of atoms : 365 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 436 ( 187 ~; 174 |; 75 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-2 aty)
% Number of variables : 264 ( 23 sgn; 104 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_8,axiom,
! [X20,X21] :
( ~ id(X20,X21)
| ( ~ r1(X20)
& ~ r1(X21) )
| ( r1(X20)
& r1(X21) ) ),
file('/export/starexec/sandbox/tmp/tmp.sZFXrkW41B/E---3.1_22102.p',axiom_8) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( id(X2,X1)
& r1(X2) )
| ( ~ r1(X2)
& ~ id(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.sZFXrkW41B/E---3.1_22102.p',axiom_1) ).
fof(axiom_4a,axiom,
! [X54] :
? [X55] :
( id(X55,X54)
& ? [X56] :
( r1(X56)
& r3(X54,X56,X55) ) ),
file('/export/starexec/sandbox/tmp/tmp.sZFXrkW41B/E---3.1_22102.p',axiom_4a) ).
fof(axiom_7a,axiom,
! [X65,X66] :
( ! [X67] :
( ~ id(X67,X66)
| ~ r1(X67) )
| ~ r2(X65,X66) ),
file('/export/starexec/sandbox/tmp/tmp.sZFXrkW41B/E---3.1_22102.p',axiom_7a) ).
fof(axiom_6,axiom,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
file('/export/starexec/sandbox/tmp/tmp.sZFXrkW41B/E---3.1_22102.p',axiom_6) ).
fof(axiom_7,axiom,
! [X17,X18,X19] :
( ~ id(X17,X18)
| id(X17,X19)
| ~ id(X18,X19) ),
file('/export/starexec/sandbox/tmp/tmp.sZFXrkW41B/E---3.1_22102.p',axiom_7) ).
fof(axiom_6a,axiom,
! [X61] :
( ? [X62] :
( id(X61,X62)
& r1(X62) )
| ? [X63,X64] :
( id(X61,X64)
& r2(X63,X64) ) ),
file('/export/starexec/sandbox/tmp/tmp.sZFXrkW41B/E---3.1_22102.p',axiom_6a) ).
fof(axiom_5,axiom,
! [X14] : id(X14,X14),
file('/export/starexec/sandbox/tmp/tmp.sZFXrkW41B/E---3.1_22102.p',axiom_5) ).
fof(axiom_5a,axiom,
! [X57] :
? [X58] :
( ? [X59] :
( r1(X59)
& r4(X57,X59,X58) )
& ? [X60] :
( id(X58,X60)
& r1(X60) ) ),
file('/export/starexec/sandbox/tmp/tmp.sZFXrkW41B/E---3.1_22102.p',axiom_5a) ).
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/sandbox/tmp/tmp.sZFXrkW41B/E---3.1_22102.p',axiom_10) ).
fof(axiom_11,axiom,
! [X32,X33,X34,X35,X36,X37] :
( ~ id(X32,X35)
| ~ id(X33,X36)
| ~ id(X34,X37)
| ( ~ r4(X32,X33,X34)
& ~ r4(X35,X36,X37) )
| ( r4(X32,X33,X34)
& r4(X35,X36,X37) ) ),
file('/export/starexec/sandbox/tmp/tmp.sZFXrkW41B/E---3.1_22102.p',axiom_11) ).
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/sandbox/tmp/tmp.sZFXrkW41B/E---3.1_22102.p',axiom_3) ).
fof(axiom_4,axiom,
! [X10,X11] :
? [X12] :
! [X13] :
( ( id(X13,X12)
& r4(X10,X11,X13) )
| ( ~ r4(X10,X11,X13)
& ~ id(X13,X12) ) ),
file('/export/starexec/sandbox/tmp/tmp.sZFXrkW41B/E---3.1_22102.p',axiom_4) ).
fof(zerotimesoneidzero,conjecture,
? [X63] :
( ? [X46] :
( ? [X47] :
( r1(X47)
& r2(X47,X46) )
& ? [X40] :
( r1(X40)
& r4(X40,X46,X63) ) )
& ? [X41] :
( id(X63,X41)
& r1(X41) ) ),
file('/export/starexec/sandbox/tmp/tmp.sZFXrkW41B/E---3.1_22102.p',zerotimesoneidzero) ).
fof(axiom_2a,axiom,
! [X44,X45] :
? [X46] :
( ? [X47] :
( id(X47,X46)
& ? [X48] :
( r2(X45,X48)
& r4(X44,X48,X47) ) )
& ? [X49] :
( r3(X49,X44,X46)
& r4(X44,X45,X49) ) ),
file('/export/starexec/sandbox/tmp/tmp.sZFXrkW41B/E---3.1_22102.p',axiom_2a) ).
fof(c_0_15,plain,
! [X20,X21] :
( ~ id(X20,X21)
| ( ~ r1(X20)
& ~ r1(X21) )
| ( r1(X20)
& r1(X21) ) ),
inference(fof_simplification,[status(thm)],[axiom_8]) ).
fof(c_0_16,plain,
? [X1] :
! [X2] :
( ( id(X2,X1)
& r1(X2) )
| ( ~ r1(X2)
& ~ id(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_17,plain,
! [X87,X88] :
( ( r1(X87)
| ~ r1(X87)
| ~ id(X87,X88) )
& ( r1(X88)
| ~ r1(X87)
| ~ id(X87,X88) )
& ( r1(X87)
| ~ r1(X88)
| ~ id(X87,X88) )
& ( r1(X88)
| ~ r1(X88)
| ~ id(X87,X88) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_15])]) ).
fof(c_0_18,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_19,plain,
! [X65,X66] :
( ! [X67] :
( ~ id(X67,X66)
| ~ r1(X67) )
| ~ r2(X65,X66) ),
inference(fof_simplification,[status(thm)],[axiom_7a]) ).
fof(c_0_20,plain,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
inference(fof_simplification,[status(thm)],[axiom_6]) ).
fof(c_0_21,plain,
! [X17,X18,X19] :
( ~ id(X17,X18)
| id(X17,X19)
| ~ id(X18,X19) ),
inference(fof_simplification,[status(thm)],[axiom_7]) ).
fof(c_0_22,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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_16])])]) ).
cnf(c_0_23,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
id(esk13_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_25,plain,
! [X132,X133,X134] :
( ~ id(X134,X133)
| ~ r1(X134)
| ~ r2(X132,X133) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_19])]) ).
fof(c_0_26,plain,
! [X128] :
( ( id(X128,esk20_1(X128))
| id(X128,esk18_1(X128)) )
& ( r2(esk19_1(X128),esk20_1(X128))
| id(X128,esk18_1(X128)) )
& ( id(X128,esk20_1(X128))
| r1(esk18_1(X128)) )
& ( r2(esk19_1(X128),esk20_1(X128))
| r1(esk18_1(X128)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_6a])])]) ).
fof(c_0_27,plain,
! [X82,X83] :
( ~ id(X82,X83)
| id(X83,X82) ),
inference(variable_rename,[status(thm)],[c_0_20]) ).
fof(c_0_28,plain,
! [X84,X85,X86] :
( ~ id(X84,X85)
| id(X84,X86)
| ~ id(X85,X86) ),
inference(variable_rename,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
( id(X1,esk1_0)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
( r1(esk13_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,plain,
( ~ id(X1,X2)
| ~ r1(X1)
| ~ r2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( r2(esk19_1(X1),esk20_1(X1))
| r1(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_33,plain,
! [X81] : id(X81,X81),
inference(variable_rename,[status(thm)],[axiom_5]) ).
cnf(c_0_34,plain,
( id(X2,X1)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( id(X1,esk20_1(X1))
| id(X1,esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
( id(X1,X3)
| ~ id(X1,X2)
| ~ id(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,plain,
( id(esk13_1(X1),esk1_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_38,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_39,plain,
( r1(esk18_1(X1))
| ~ r1(X2)
| ~ id(X2,esk20_1(X1)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_40,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
( r1(X1)
| ~ id(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_42,plain,
( id(X1,esk18_1(X1))
| id(esk20_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_43,plain,
( id(X1,X2)
| ~ id(X1,esk13_1(X2)) ),
inference(spm,[status(thm)],[c_0_36,c_0_24]) ).
cnf(c_0_44,plain,
( id(esk1_0,esk13_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_37]) ).
cnf(c_0_45,plain,
r1(esk17_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,plain,
( r1(esk18_1(X1))
| ~ r1(esk20_1(X1)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,plain,
( r1(esk20_1(esk1_0))
| id(esk1_0,esk18_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,plain,
( id(esk1_0,X1)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
id(esk17_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_29,c_0_45]) ).
cnf(c_0_50,plain,
id(esk1_0,esk18_1(esk1_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_51,plain,
id(esk1_0,esk17_1(X1)),
inference(spm,[status(thm)],[c_0_34,c_0_49]) ).
cnf(c_0_52,plain,
( id(X1,esk13_1(X2))
| ~ r1(X2)
| ~ id(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_44]) ).
cnf(c_0_53,plain,
id(esk18_1(esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_34,c_0_50]) ).
fof(c_0_54,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_55,plain,
! [X32,X33,X34,X35,X36,X37] :
( ~ id(X32,X35)
| ~ id(X33,X36)
| ~ id(X34,X37)
| ( ~ r4(X32,X33,X34)
& ~ r4(X35,X36,X37) )
| ( r4(X32,X33,X34)
& r4(X35,X36,X37) ) ),
inference(fof_simplification,[status(thm)],[axiom_11]) ).
cnf(c_0_56,plain,
( id(X1,esk17_1(X2))
| ~ id(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_51]) ).
cnf(c_0_57,plain,
( id(esk18_1(esk1_0),esk13_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_58,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(variable_rename,[status(thm)],[c_0_54])]) ).
fof(c_0_59,plain,
! [X99,X100,X101,X102,X103,X104] :
( ( r4(X99,X100,X101)
| ~ r4(X99,X100,X101)
| ~ id(X99,X102)
| ~ id(X100,X103)
| ~ id(X101,X104) )
& ( r4(X102,X103,X104)
| ~ r4(X99,X100,X101)
| ~ id(X99,X102)
| ~ id(X100,X103)
| ~ id(X101,X104) )
& ( r4(X99,X100,X101)
| ~ r4(X102,X103,X104)
| ~ id(X99,X102)
| ~ id(X100,X103)
| ~ id(X101,X104) )
& ( r4(X102,X103,X104)
| ~ r4(X102,X103,X104)
| ~ id(X99,X102)
| ~ id(X100,X103)
| ~ id(X101,X104) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_55])]) ).
cnf(c_0_60,plain,
id(esk18_1(esk1_0),esk17_1(X1)),
inference(spm,[status(thm)],[c_0_56,c_0_53]) ).
cnf(c_0_61,plain,
( id(esk18_1(esk1_0),X1)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_57]) ).
cnf(c_0_62,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_58]) ).
cnf(c_0_63,plain,
r3(X1,esk14_1(X1),esk13_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_64,plain,
( r4(X1,X2,X3)
| ~ r4(X4,X5,X6)
| ~ id(X4,X1)
| ~ id(X5,X2)
| ~ id(X6,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,plain,
r4(X1,esk16_1(X1),esk15_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_66,plain,
( id(X1,esk17_1(X2))
| ~ id(X1,esk18_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_60]) ).
cnf(c_0_67,plain,
( id(X1,esk18_1(esk1_0))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_61]) ).
cnf(c_0_68,plain,
id(esk15_1(X1),esk17_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_69,plain,
( r3(X1,X2,X3)
| ~ id(esk13_1(X4),X3)
| ~ id(esk14_1(X4),X2)
| ~ id(X4,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,plain,
r1(esk14_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_71,plain,
( r4(X1,X2,X3)
| ~ id(esk15_1(X4),X3)
| ~ id(esk16_1(X4),X2)
| ~ id(X4,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_72,plain,
( id(X1,esk17_1(X2))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,plain,
r1(esk15_1(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_68]),c_0_45])]) ).
cnf(c_0_74,plain,
r1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_75,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_76,plain,
( r3(X1,X2,X3)
| ~ id(esk14_1(X3),X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_24]) ).
cnf(c_0_77,plain,
id(esk14_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_29,c_0_70]) ).
fof(c_0_78,plain,
! [X10,X11] :
? [X12] :
! [X13] :
( ( id(X13,X12)
& r4(X10,X11,X13) )
| ( ~ r4(X10,X11,X13)
& ~ id(X13,X12) ) ),
inference(fof_simplification,[status(thm)],[axiom_4]) ).
cnf(c_0_79,plain,
( r4(X1,X2,esk17_1(X3))
| ~ id(esk16_1(X4),X2)
| ~ id(X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]) ).
cnf(c_0_80,plain,
id(esk16_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_29,c_0_74]) ).
fof(c_0_81,negated_conjecture,
~ ? [X63] :
( ? [X46] :
( ? [X47] :
( r1(X47)
& r2(X47,X46) )
& ? [X40] :
( r1(X40)
& r4(X40,X46,X63) ) )
& ? [X41] :
( id(X63,X41)
& r1(X41) ) ),
inference(assume_negation,[status(cth)],[zerotimesoneidzero]) ).
fof(c_0_82,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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_75])])]) ).
fof(c_0_83,plain,
! [X111,X112] :
( id(esk10_2(X111,X112),esk9_2(X111,X112))
& r2(X112,esk11_2(X111,X112))
& r4(X111,esk11_2(X111,X112),esk10_2(X111,X112))
& r3(esk12_2(X111,X112),X111,esk9_2(X111,X112))
& r4(X111,X112,esk12_2(X111,X112)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_2a])]) ).
cnf(c_0_84,plain,
( r3(X1,esk1_0,X2)
| ~ id(X2,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
fof(c_0_85,plain,
! [X77,X78,X80] :
( ( ~ r4(X77,X78,X80)
| id(X80,esk4_2(X77,X78)) )
& ( ~ id(X80,esk4_2(X77,X78))
| id(X80,esk4_2(X77,X78)) )
& ( ~ r4(X77,X78,X80)
| r4(X77,X78,X80) )
& ( ~ id(X80,esk4_2(X77,X78))
| r4(X77,X78,X80) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_78])])]) ).
cnf(c_0_86,plain,
( r4(X1,esk1_0,esk17_1(X2))
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_87,plain,
id(esk13_1(esk13_1(X1)),X1),
inference(spm,[status(thm)],[c_0_43,c_0_24]) ).
fof(c_0_88,negated_conjecture,
! [X135,X136,X137,X138,X139] :
( ~ r1(X137)
| ~ r2(X137,X136)
| ~ r1(X138)
| ~ r4(X138,X136,X135)
| ~ id(X135,X139)
| ~ r1(X139) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])]) ).
cnf(c_0_89,plain,
( id(X3,esk3_2(X1,X2))
| ~ r3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_90,plain,
r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_91,plain,
r3(X1,esk1_0,X1),
inference(spm,[status(thm)],[c_0_84,c_0_40]) ).
cnf(c_0_92,plain,
( id(X3,esk4_2(X1,X2))
| ~ r4(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_93,plain,
r4(X1,X2,esk12_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_94,plain,
r4(X1,esk1_0,esk17_1(X2)),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_95,negated_conjecture,
( ~ r1(X1)
| ~ r2(X1,X2)
| ~ r1(X3)
| ~ r4(X3,X2,X4)
| ~ id(X4,X5)
| ~ r1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_96,plain,
r4(X1,esk11_2(X1,X2),esk10_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_97,plain,
id(esk9_2(X1,X2),esk3_2(esk12_2(X1,X2),X1)),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_98,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_99,plain,
id(X1,esk3_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_89,c_0_91]) ).
cnf(c_0_100,plain,
id(esk12_2(X1,X2),esk4_2(X1,X2)),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_101,plain,
id(esk17_1(X1),esk4_2(X2,esk1_0)),
inference(spm,[status(thm)],[c_0_92,c_0_94]) ).
cnf(c_0_102,negated_conjecture,
( ~ r2(X1,esk11_2(X2,X3))
| ~ r1(X4)
| ~ r1(X2)
| ~ r1(X1)
| ~ id(esk10_2(X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_103,plain,
r2(X1,esk11_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_104,plain,
( r1(esk9_2(X1,X2))
| ~ r1(esk3_2(esk12_2(X1,X2),X1)) ),
inference(spm,[status(thm)],[c_0_23,c_0_97]) ).
cnf(c_0_105,plain,
( r1(esk3_2(X1,esk1_0))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_106,plain,
( r1(esk12_2(X1,X2))
| ~ r1(esk4_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_100]) ).
cnf(c_0_107,plain,
r1(esk4_2(X1,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_101]),c_0_45])]) ).
cnf(c_0_108,negated_conjecture,
( ~ r1(X1)
| ~ r1(X2)
| ~ r1(X3)
| ~ id(esk10_2(X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_109,plain,
id(esk10_2(X1,X2),esk9_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_110,plain,
( r1(esk9_2(esk1_0,X1))
| ~ r1(esk12_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_111,plain,
r1(esk12_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_112,negated_conjecture,
( ~ r1(esk9_2(X1,X2))
| ~ r1(X1)
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_113,plain,
r1(esk9_2(esk1_0,esk1_0)),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_114,plain,
r1(esk1_0),
inference(spm,[status(thm)],[c_0_41,c_0_40]) ).
cnf(c_0_115,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : NUN086+1 : TPTP v8.1.2. Released v7.3.0.
% 0.08/0.16 % Command : run_E %s %d THM
% 0.16/0.38 % Computer : n020.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 2400
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Mon Oct 2 20:49:31 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.sZFXrkW41B/E---3.1_22102.p
% 31.55/4.63 # Version: 3.1pre001
% 31.55/4.63 # Preprocessing class: FSMSSMSSSSSNFFN.
% 31.55/4.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 31.55/4.63 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 31.55/4.63 # Starting new_bool_3 with 300s (1) cores
% 31.55/4.63 # Starting new_bool_1 with 300s (1) cores
% 31.55/4.63 # Starting sh5l with 300s (1) cores
% 31.55/4.63 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 22180 completed with status 0
% 31.55/4.63 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 31.55/4.63 # Preprocessing class: FSMSSMSSSSSNFFN.
% 31.55/4.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 31.55/4.63 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 31.55/4.63 # No SInE strategy applied
% 31.55/4.63 # Search class: FGHNM-FFMF21-SFFFFFNN
% 31.55/4.63 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 31.55/4.63 # Starting H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S with 694s (1) cores
% 31.55/4.63 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 31.55/4.63 # Starting new_bool_3 with 211s (1) cores
% 31.55/4.63 # Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 31.55/4.63 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 31.55/4.63 # G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 22190 completed with status 0
% 31.55/4.63 # Result found by G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S
% 31.55/4.63 # Preprocessing class: FSMSSMSSSSSNFFN.
% 31.55/4.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 31.55/4.63 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 31.55/4.63 # No SInE strategy applied
% 31.55/4.63 # Search class: FGHNM-FFMF21-SFFFFFNN
% 31.55/4.63 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 31.55/4.63 # Starting H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S with 694s (1) cores
% 31.55/4.63 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 31.55/4.63 # Starting new_bool_3 with 211s (1) cores
% 31.55/4.63 # Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 31.55/4.63 # Preprocessing time : 0.002 s
% 31.55/4.63 # Presaturation interreduction done
% 31.55/4.63
% 31.55/4.63 # Proof found!
% 31.55/4.63 # SZS status Theorem
% 31.55/4.63 # SZS output start CNFRefutation
% See solution above
% 31.55/4.63 # Parsed axioms : 19
% 31.55/4.63 # Removed by relevancy pruning/SinE : 0
% 31.55/4.63 # Initial clauses : 59
% 31.55/4.63 # Removed in clause preprocessing : 16
% 31.55/4.63 # Initial clauses in saturation : 43
% 31.55/4.63 # Processed clauses : 22759
% 31.55/4.63 # ...of these trivial : 3579
% 31.55/4.63 # ...subsumed : 14951
% 31.55/4.63 # ...remaining for further processing : 4229
% 31.55/4.63 # Other redundant clauses eliminated : 0
% 31.55/4.63 # Clauses deleted for lack of memory : 0
% 31.55/4.63 # Backward-subsumed : 93
% 31.55/4.63 # Backward-rewritten : 153
% 31.55/4.63 # Generated clauses : 506436
% 31.55/4.63 # ...of the previous two non-redundant : 459880
% 31.55/4.63 # ...aggressively subsumed : 0
% 31.55/4.63 # Contextual simplify-reflections : 5
% 31.55/4.63 # Paramodulations : 506400
% 31.55/4.63 # Factorizations : 0
% 31.55/4.63 # NegExts : 0
% 31.55/4.63 # Equation resolutions : 0
% 31.55/4.63 # Total rewrite steps : 155487
% 31.55/4.63 # Propositional unsat checks : 0
% 31.55/4.63 # Propositional check models : 0
% 31.55/4.63 # Propositional check unsatisfiable : 0
% 31.55/4.63 # Propositional clauses : 0
% 31.55/4.63 # Propositional clauses after purity: 0
% 31.55/4.63 # Propositional unsat core size : 0
% 31.55/4.63 # Propositional preprocessing time : 0.000
% 31.55/4.63 # Propositional encoding time : 0.000
% 31.55/4.63 # Propositional solver time : 0.000
% 31.55/4.63 # Success case prop preproc time : 0.000
% 31.55/4.63 # Success case prop encoding time : 0.000
% 31.55/4.63 # Success case prop solver time : 0.000
% 31.55/4.63 # Current number of processed clauses : 3913
% 31.55/4.63 # Positive orientable unit clauses : 1162
% 31.55/4.63 # Positive unorientable unit clauses: 0
% 31.55/4.63 # Negative unit clauses : 37
% 31.55/4.63 # Non-unit-clauses : 2714
% 31.55/4.63 # Current number of unprocessed clauses: 431449
% 31.55/4.63 # ...number of literals in the above : 883011
% 31.55/4.63 # Current number of archived formulas : 0
% 31.55/4.63 # Current number of archived clauses : 289
% 31.55/4.63 # Clause-clause subsumption calls (NU) : 435500
% 31.55/4.63 # Rec. Clause-clause subsumption calls : 327951
% 31.55/4.63 # Non-unit clause-clause subsumptions : 12735
% 31.55/4.63 # Unit Clause-clause subsumption calls : 53006
% 31.55/4.63 # Rewrite failures with RHS unbound : 0
% 31.55/4.63 # BW rewrite match attempts : 2440
% 31.55/4.63 # BW rewrite match successes : 119
% 31.55/4.63 # Condensation attempts : 0
% 31.55/4.63 # Condensation successes : 0
% 31.55/4.63 # Termbank termtop insertions : 5904220
% 31.55/4.63
% 31.55/4.63 # -------------------------------------------------
% 31.55/4.63 # User time : 3.338 s
% 31.55/4.63 # System time : 0.168 s
% 31.55/4.63 # Total time : 3.505 s
% 31.55/4.63 # Maximum resident set size: 1936 pages
% 31.55/4.63
% 31.55/4.63 # -------------------------------------------------
% 31.55/4.63 # User time : 18.593 s
% 31.55/4.63 # System time : 0.610 s
% 31.55/4.63 # Total time : 19.203 s
% 31.55/4.63 # Maximum resident set size: 1744 pages
% 31.55/4.63 % E---3.1 exiting
% 31.55/4.63 % E---3.1 exiting
%------------------------------------------------------------------------------