%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUN086+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:57:42 PM UTC 2026
% Result : Theorem 40.27s 6.47s
% Output : CNFRefutation 40.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 103 ( 40 unt; 0 def)
% Number of atoms : 320 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 382 ( 165 ~; 147 |; 70 &)
% ( 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 : 12 ( 12 usr; 1 con; 0-2 aty)
% Number of variables : 241 ( 26 sgn 93 !; 25 ?)
% 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_6,axiom,
! [X15,X16] :
( id(X16,X15)
| ~ id(X15,X16) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
fof(axiom_5a,axiom,
! [X57] :
? [X58] :
( ? [X60] :
( r1(X60)
& id(X58,X60) )
& ? [X59] :
( r4(X57,X59,X58)
& r1(X59) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).
fof(axiom_8,axiom,
! [X20,X21] :
( ( r1(X21)
& r1(X20) )
| ( ~ r1(X21)
& ~ r1(X20) )
| ~ id(X20,X21) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_8) ).
fof(axiom_7,axiom,
! [X17,X18,X19] :
( ~ id(X18,X19)
| id(X17,X19)
| ~ id(X17,X18) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7) ).
fof(axiom_11,axiom,
! [X32,X33,X34,X35,X36,X37] :
( ( r4(X35,X36,X37)
& r4(X32,X33,X34) )
| ( ~ r4(X35,X36,X37)
& ~ r4(X32,X33,X34) )
| ~ id(X34,X37)
| ~ id(X33,X36)
| ~ id(X32,X35) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_11) ).
fof(axiom_4a,axiom,
! [X54] :
? [X55] :
( ? [X56] :
( r3(X54,X56,X55)
& r1(X56) )
& id(X55,X54) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
fof(axiom_10,axiom,
! [X26,X27,X28,X29,X30,X31] :
( ( r3(X29,X30,X31)
& r3(X26,X27,X28) )
| ( ~ r3(X29,X30,X31)
& ~ r3(X26,X27,X28) )
| ~ id(X28,X31)
| ~ id(X27,X30)
| ~ id(X26,X29) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_10) ).
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/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_4) ).
fof(axiom_2a,axiom,
! [X44,X45] :
? [X46] :
( ? [X49] :
( r4(X44,X45,X49)
& r3(X49,X44,X46) )
& ? [X47] :
( ? [X48] :
( r4(X44,X48,X47)
& r2(X45,X48) )
& id(X47,X46) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_2a) ).
fof(axiom_5,axiom,
! [X14] : id(X14,X14),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
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(zerotimesoneidzero,conjecture,
? [X63] :
( ? [X41] :
( r1(X41)
& id(X63,X41) )
& ? [X46] :
( ? [X40] :
( r4(X40,X46,X63)
& r1(X40) )
& ? [X47] :
( r2(X47,X46)
& r1(X47) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerotimesoneidzero) ).
fof(c_0_13,plain,
? [X1] :
! [X2] :
( ( ~ id(X2,X1)
& ~ r1(X2) )
| ( r1(X2)
& id(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_14,plain,
! [X15,X16] :
( id(X16,X15)
| ~ id(X15,X16) ),
inference(fof_simplification,[status(thm)],[axiom_6]) ).
fof(c_0_15,plain,
! [X69] :
( ( r1(X69)
| ~ id(X69,esk1_0) )
& ( r1(X69)
| ~ r1(X69) )
& ( id(X69,esk1_0)
| ~ id(X69,esk1_0) )
& ( 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_13])])])]) ).
fof(c_0_16,plain,
! [X124] :
( r1(esk17_1(X124))
& id(esk15_1(X124),esk17_1(X124))
& r4(X124,esk16_1(X124),esk15_1(X124))
& r1(esk16_1(X124)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_5a])]) ).
fof(c_0_17,plain,
! [X20,X21] :
( ( r1(X21)
& r1(X20) )
| ( ~ r1(X21)
& ~ r1(X20) )
| ~ id(X20,X21) ),
inference(fof_simplification,[status(thm)],[axiom_8]) ).
fof(c_0_18,plain,
! [X17,X18,X19] :
( ~ id(X18,X19)
| id(X17,X19)
| ~ id(X17,X18) ),
inference(fof_simplification,[status(thm)],[axiom_7]) ).
fof(c_0_19,plain,
! [X82,X83] :
( id(X83,X82)
| ~ id(X82,X83) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_14])]) ).
cnf(c_0_20,plain,
( ~ r1(X1)
| id(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
r1(esk17_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_22,plain,
! [X87,X88] :
( ( ~ id(X87,X88)
| ~ r1(X88)
| r1(X88) )
& ( ~ id(X87,X88)
| ~ r1(X88)
| r1(X87) )
& ( ~ id(X87,X88)
| ~ r1(X87)
| r1(X88) )
& ( ~ id(X87,X88)
| ~ r1(X87)
| r1(X87) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_17])])]) ).
fof(c_0_23,plain,
! [X32,X33,X34,X35,X36,X37] :
( ( r4(X35,X36,X37)
& r4(X32,X33,X34) )
| ( ~ r4(X35,X36,X37)
& ~ r4(X32,X33,X34) )
| ~ id(X34,X37)
| ~ id(X33,X36)
| ~ id(X32,X35) ),
inference(fof_simplification,[status(thm)],[axiom_11]) ).
fof(c_0_24,plain,
! [X84,X85,X86] :
( ~ id(X85,X86)
| id(X84,X86)
| ~ id(X84,X85) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_18])]) ).
cnf(c_0_25,plain,
( ~ id(X1,X2)
| id(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
id(esk17_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,plain,
( ~ id(X1,X2)
| ~ r1(X2)
| r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
id(esk15_1(X1),esk17_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_29,plain,
! [X121] :
( r3(X121,esk14_1(X121),esk13_1(X121))
& r1(esk14_1(X121))
& id(esk13_1(X121),X121) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_4a])]) ).
fof(c_0_30,plain,
! [X99,X100,X101,X102,X103,X104] :
( ( ~ id(X101,X104)
| ~ id(X100,X103)
| ~ id(X99,X102)
| ~ r4(X102,X103,X104)
| r4(X102,X103,X104) )
& ( ~ id(X101,X104)
| ~ id(X100,X103)
| ~ id(X99,X102)
| ~ r4(X102,X103,X104)
| r4(X99,X100,X101) )
& ( ~ id(X101,X104)
| ~ id(X100,X103)
| ~ id(X99,X102)
| ~ r4(X99,X100,X101)
| r4(X102,X103,X104) )
& ( ~ id(X101,X104)
| ~ id(X100,X103)
| ~ id(X99,X102)
| ~ r4(X99,X100,X101)
| r4(X99,X100,X101) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_23])])]) ).
cnf(c_0_31,plain,
( ~ id(X2,X3)
| ~ id(X1,X2)
| id(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
id(esk1_0,esk17_1(X1)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,plain,
r1(esk15_1(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_21])]) ).
cnf(c_0_34,plain,
id(esk13_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
( ~ id(X6,X3)
| ~ id(X5,X2)
| ~ id(X4,X1)
| ~ r4(X4,X5,X6)
| r4(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
r4(X1,esk16_1(X1),esk15_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_37,plain,
( ~ id(X1,esk1_0)
| id(X1,esk17_1(X2)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
id(esk15_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_20,c_0_33]) ).
cnf(c_0_39,plain,
id(X1,esk13_1(X1)),
inference(spm,[status(thm)],[c_0_25,c_0_34]) ).
cnf(c_0_40,plain,
( ~ id(X4,X1)
| ~ id(esk16_1(X4),X2)
| ~ id(esk15_1(X4),X3)
| r4(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
id(esk15_1(X1),esk17_1(X2)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
r1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_43,plain,
( ~ id(X1,X2)
| id(X1,esk13_1(X2)) ),
inference(spm,[status(thm)],[c_0_31,c_0_39]) ).
fof(c_0_44,plain,
! [X26,X27,X28,X29,X30,X31] :
( ( r3(X29,X30,X31)
& r3(X26,X27,X28) )
| ( ~ r3(X29,X30,X31)
& ~ r3(X26,X27,X28) )
| ~ id(X28,X31)
| ~ id(X27,X30)
| ~ id(X26,X29) ),
inference(fof_simplification,[status(thm)],[axiom_10]) ).
fof(c_0_45,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_46,plain,
( ~ id(X4,X1)
| ~ id(esk16_1(X4),X2)
| r4(X1,X2,esk17_1(X3)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
id(esk16_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_20,c_0_42]) ).
cnf(c_0_48,plain,
id(X1,esk13_1(esk13_1(X1))),
inference(spm,[status(thm)],[c_0_43,c_0_39]) ).
fof(c_0_49,plain,
! [X93,X94,X95,X96,X97,X98] :
( ( ~ id(X95,X98)
| ~ id(X94,X97)
| ~ id(X93,X96)
| ~ r3(X96,X97,X98)
| r3(X96,X97,X98) )
& ( ~ id(X95,X98)
| ~ id(X94,X97)
| ~ id(X93,X96)
| ~ r3(X96,X97,X98)
| r3(X93,X94,X95) )
& ( ~ id(X95,X98)
| ~ id(X94,X97)
| ~ id(X93,X96)
| ~ r3(X93,X94,X95)
| r3(X96,X97,X98) )
& ( ~ id(X95,X98)
| ~ id(X94,X97)
| ~ id(X93,X96)
| ~ r3(X93,X94,X95)
| r3(X93,X94,X95) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_44])])]) ).
fof(c_0_50,plain,
! [X77,X78,X80] :
( ( r4(X77,X78,X80)
| ~ id(X80,esk4_2(X77,X78)) )
& ( r4(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) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_45])])])]) ).
fof(c_0_51,plain,
! [X111,X112] :
( r4(X111,X112,esk12_2(X111,X112))
& r3(esk12_2(X111,X112),X111,esk9_2(X111,X112))
& r4(X111,esk11_2(X111,X112),esk10_2(X111,X112))
& r2(X112,esk11_2(X111,X112))
& id(esk10_2(X111,X112),esk9_2(X111,X112)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_2a])]) ).
cnf(c_0_52,plain,
( ~ id(X3,X1)
| r4(X1,esk1_0,esk17_1(X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
id(esk13_1(esk13_1(X1)),X1),
inference(spm,[status(thm)],[c_0_25,c_0_48]) ).
cnf(c_0_54,plain,
( ~ id(X6,X3)
| ~ id(X5,X2)
| ~ id(X4,X1)
| ~ r3(X4,X5,X6)
| r3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,plain,
r3(X1,esk14_1(X1),esk13_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_56,plain,
! [X81] : id(X81,X81),
inference(variable_rename,[status(thm)],[axiom_5]) ).
cnf(c_0_57,plain,
( ~ r1(X1)
| r1(esk13_1(X1)) ),
inference(spm,[status(thm)],[c_0_27,c_0_34]) ).
cnf(c_0_58,plain,
( ~ r4(X1,X2,X3)
| id(X3,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_59,plain,
r4(X1,X2,esk12_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,plain,
r4(X1,esk1_0,esk17_1(X2)),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_61,plain,
( ~ id(X4,X1)
| ~ id(esk14_1(X4),X2)
| ~ id(esk13_1(X4),X3)
| r3(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_62,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_63,plain,
r1(esk14_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_64,plain,
( ~ r1(X1)
| id(esk13_1(X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_57]) ).
cnf(c_0_65,plain,
id(esk12_2(X1,X2),esk4_2(X1,X2)),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_66,plain,
( ~ id(X2,X1)
| ~ r1(X2)
| r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_67,plain,
id(esk17_1(X1),esk4_2(X2,esk1_0)),
inference(spm,[status(thm)],[c_0_58,c_0_60]) ).
fof(c_0_68,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_69,plain,
( ~ id(X3,X1)
| ~ id(esk14_1(X3),X2)
| r3(X1,X2,esk13_1(X3)) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_70,plain,
id(esk14_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_20,c_0_63]) ).
cnf(c_0_71,plain,
( ~ id(X1,esk13_1(X2))
| id(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_34]) ).
cnf(c_0_72,plain,
( ~ r1(X1)
| id(esk1_0,esk13_1(X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_64]) ).
cnf(c_0_73,plain,
( ~ r1(esk4_2(X1,X2))
| r1(esk12_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_27,c_0_65]) ).
cnf(c_0_74,plain,
r1(esk4_2(X1,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_21])]) ).
fof(c_0_75,negated_conjecture,
~ ? [X63] :
( ? [X41] :
( r1(X41)
& id(X63,X41) )
& ? [X46] :
( ? [X40] :
( r4(X40,X46,X63)
& r1(X40) )
& ? [X47] :
( r2(X47,X46)
& r1(X47) ) ) ),
inference(assume_negation,[status(cth)],[zerotimesoneidzero]) ).
fof(c_0_76,plain,
! [X73,X74,X76] :
( ( r3(X73,X74,X76)
| ~ id(X76,esk3_2(X73,X74)) )
& ( r3(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) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_68])])])]) ).
cnf(c_0_77,plain,
( ~ id(X2,X1)
| r3(X1,esk1_0,esk13_1(X2)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_78,plain,
( ~ r1(X1)
| id(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,plain,
r1(esk12_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_80,negated_conjecture,
! [X135,X136,X137,X138,X139] :
( ~ r1(X139)
| ~ id(X135,X139)
| ~ r4(X138,X136,X135)
| ~ r1(X138)
| ~ r2(X137,X136)
| ~ r1(X137) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])])]) ).
cnf(c_0_81,plain,
( ~ r3(X1,X2,X3)
| id(X3,esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_82,plain,
r3(X1,esk1_0,esk13_1(X1)),
inference(spm,[status(thm)],[c_0_77,c_0_62]) ).
cnf(c_0_83,plain,
id(esk1_0,esk12_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,plain,
( ~ id(X1,esk1_0)
| r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_85,negated_conjecture,
( ~ r1(X5)
| ~ id(X4,X5)
| ~ r4(X3,X2,X4)
| ~ r1(X3)
| ~ r2(X1,X2)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_86,plain,
r4(X1,esk11_2(X1,X2),esk10_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_87,plain,
r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_88,plain,
id(esk13_1(X1),esk3_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_89,plain,
id(esk1_0,esk13_1(esk12_2(X1,esk1_0))),
inference(spm,[status(thm)],[c_0_43,c_0_83]) ).
cnf(c_0_90,plain,
r1(esk1_0),
inference(spm,[status(thm)],[c_0_84,c_0_62]) ).
cnf(c_0_91,negated_conjecture,
( ~ id(esk10_2(X2,X3),X4)
| ~ r1(X1)
| ~ r1(X2)
| ~ r1(X4)
| ~ r2(X1,esk11_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_92,plain,
r2(X1,esk11_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_93,plain,
id(esk9_2(X1,X2),esk3_2(esk12_2(X1,X2),X1)),
inference(spm,[status(thm)],[c_0_81,c_0_87]) ).
cnf(c_0_94,plain,
( ~ r1(esk13_1(X1))
| r1(esk3_2(X1,esk1_0)) ),
inference(spm,[status(thm)],[c_0_66,c_0_88]) ).
cnf(c_0_95,plain,
r1(esk13_1(esk12_2(X1,esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_89]),c_0_90])]) ).
cnf(c_0_96,negated_conjecture,
( ~ id(esk10_2(X2,X3),X1)
| ~ r1(X3)
| ~ r1(X2)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_97,plain,
id(esk10_2(X1,X2),esk9_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_98,plain,
( ~ r1(esk3_2(esk12_2(X1,X2),X1))
| r1(esk9_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_27,c_0_93]) ).
cnf(c_0_99,plain,
r1(esk3_2(esk12_2(X1,esk1_0),esk1_0)),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_100,negated_conjecture,
( ~ r1(X2)
| ~ r1(X1)
| ~ r1(esk9_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_101,plain,
r1(esk9_2(esk1_0,esk1_0)),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_102,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_90])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN086+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 03:31:13 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 40.27/6.47 % Version: 3.5.1
% 40.27/6.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 40.27/6.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 40.27/6.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 40.27/6.47 % Starting new_bool_3 with 300s (1) cores
% 40.27/6.47 % Starting new_bool_1 with 300s (1) cores
% 40.27/6.47 % Starting sh5l with 300s (1) cores
% 40.27/6.47 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2093849 completed with status 0
% 40.27/6.47 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 40.27/6.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 40.27/6.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 40.27/6.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 40.27/6.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 40.27/6.47 % No SInE strategy applied
% 40.27/6.47 % Search class: FGHNM-FFMF21-SFFFFFNN
% 40.27/6.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 40.27/6.47 % Starting SubtermCWHack with 136s (1) cores
% 40.27/6.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 40.27/6.47 % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 231s (1) cores
% 40.27/6.47 % Starting new_bool_3 with 211s (1) cores
% 40.27/6.47 % Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 40.27/6.47 % G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with pid 2093855 completed with status 0
% 40.27/6.47 % Result found by G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S
% 40.27/6.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 40.27/6.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 40.27/6.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 40.27/6.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 40.27/6.47 % No SInE strategy applied
% 40.27/6.47 % Search class: FGHNM-FFMF21-SFFFFFNN
% 40.27/6.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 40.27/6.47 % Starting SubtermCWHack with 136s (1) cores
% 40.27/6.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 40.27/6.47 % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 231s (1) cores
% 40.27/6.47 % Preprocessing time : 0.003 s
% 40.27/6.47 % Presaturation interreduction done
% 40.27/6.47
% 40.27/6.47 % Proof found!
% 40.27/6.47 % SZS status Theorem
% 40.27/6.47 % SZS output start CNFRefutation
% See solution above
% 40.27/6.47 % Parsed axioms : 19
% 40.27/6.47 % Removed by relevancy pruning/SinE : 0
% 40.27/6.47 % Initial clauses : 59
% 40.27/6.47 % Removed in clause preprocessing : 16
% 40.27/6.47 % Initial clauses in saturation : 43
% 40.27/6.47 % Processed clauses : 15638
% 40.27/6.47 % ...of these trivial : 1905
% 40.27/6.47 % ...subsumed : 9852
% 40.27/6.47 % ...remaining for further processing : 3881
% 40.27/6.47 % Other redundant clauses eliminated : 0
% 40.27/6.47 % Clauses deleted for lack of memory : 0
% 40.27/6.47 % Backward-subsumed : 47
% 40.27/6.47 % Backward-rewritten : 87
% 40.27/6.47 % Generated clauses : 316124
% 40.27/6.47 % ...of the previous two non-redundant : 283123
% 40.27/6.47 % ...aggressively subsumed : 0
% 40.27/6.47 % Contextual simplify-reflections : 12
% 40.27/6.47 % Paramodulations : 316124
% 40.27/6.47 % Factorizations : 0
% 40.27/6.47 % NegExts : 0
% 40.27/6.47 % Equation resolutions : 0
% 40.27/6.47 % Disequality decompositions : 0
% 40.27/6.47 % Total rewrite steps : 83131
% 40.27/6.47 % ...of those cached : 81220
% 40.27/6.47 % Propositional unsat checks : 0
% 40.27/6.47 % Propositional check models : 0
% 40.27/6.47 % Propositional check unsatisfiable : 0
% 40.27/6.47 % Propositional clauses : 0
% 40.27/6.47 % Propositional clauses after purity: 0
% 40.27/6.47 % Propositional unsat core size : 0
% 40.27/6.47 % Propositional preprocessing time : 0.000
% 40.27/6.47 % Propositional encoding time : 0.000
% 40.27/6.47 % Propositional solver time : 0.000
% 40.27/6.47 % Success case prop preproc time : 0.000
% 40.27/6.47 % Success case prop encoding time : 0.000
% 40.27/6.47 % Success case prop solver time : 0.000
% 40.27/6.47 % Current number of processed clauses : 3704
% 40.27/6.47 % Positive orientable unit clauses : 1325
% 40.27/6.47 % Positive unorientable unit clauses: 0
% 40.27/6.47 % Negative unit clauses : 84
% 40.27/6.47 % Non-unit-clauses : 2295
% 40.27/6.47 % Current number of unprocessed clauses: 262825
% 40.27/6.47 % ...number of literals in the above : 481103
% 40.27/6.47 % Current number of archived formulas : 0
% 40.27/6.47 % Current number of archived clauses : 177
% 40.27/6.47 % Clause-clause subsumption calls (NU) : 422518
% 40.27/6.47 % Rec. Clause-clause subsumption calls : 242909
% 40.27/6.47 % Non-unit clause-clause subsumptions : 8080
% 40.27/6.47 % Unit Clause-clause subsumption calls : 63669
% 40.27/6.47 % Rewrite failures with RHS unbound : 0
% 40.27/6.47 % BW rewrite match attempts : 6012
% 40.27/6.47 % BW rewrite match successes : 88
% 40.27/6.47 % Condensation attempts : 0
% 40.27/6.47 % Condensation successes : 0
% 40.27/6.47 % Termbank termtop insertions : 3736420
% 40.27/6.47 % Search garbage collected termcells : 416
% 40.27/6.47
% 40.27/6.47 % -------------------------------------------------
% 40.27/6.47 % User time : 5.455 s
% 40.27/6.47 % System time : 0.286 s
% 40.27/6.47 % Total time : 5.741 s
% 40.27/6.47 % Maximum resident set size: 3696 pages
% 40.27/6.47
% 40.27/6.47 % -------------------------------------------------
% 40.27/6.47 % User time : 27.704 s
% 40.27/6.47 % System time : 1.185 s
% 40.27/6.47 % Total time : 28.889 s
% 40.27/6.47 % Maximum resident set size: 4864 pages
% 40.27/6.47 % E exiting
%------------------------------------------------------------------------------