TSTP Solution File: NUN086+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUN086+1 : TPTP v8.1.0. Released 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 16:26:07 EDT 2022
% Result : Theorem 0.26s 2.44s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 18
% Syntax : Number of formulae : 153 ( 47 unt; 0 def)
% Number of atoms : 458 ( 0 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 546 ( 241 ~; 232 |; 73 &)
% ( 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 : 16 ( 16 usr; 1 con; 0-2 aty)
% Number of variables : 324 ( 23 sgn 95 !; 26 ?)
% 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_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(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_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_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_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_6,axiom,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
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_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/sandbox2/benchmark/Axioms/NUM009+0.ax',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/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_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(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_3a,axiom,
! [X50,X51] :
( ! [X52] :
( ! [X53] :
( ~ id(X53,X52)
| ~ r2(X50,X53) )
| ~ r2(X51,X52) )
| id(X50,X51) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_3a) ).
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/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_2a) ).
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(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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',zerotimesoneidzero) ).
fof(c_0_18,plain,
! [X4] :
( ( ~ r1(X4)
| id(X4,esk1_0) )
& ( ~ id(X4,esk1_0)
| id(X4,esk1_0) )
& ( ~ r1(X4)
| r1(X4) )
& ( ~ id(X4,esk1_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_19,plain,
! [X61] :
( r1(esk5_1(X61))
& r4(X61,esk5_1(X61),esk4_1(X61))
& id(esk4_1(X61),esk6_1(X61))
& r1(esk6_1(X61)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_5a])])])]) ).
fof(c_0_20,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_21,plain,
! [X65] :
( ( id(X65,esk9_1(X65))
| id(X65,esk7_1(X65)) )
& ( r2(esk8_1(X65),esk9_1(X65))
| id(X65,esk7_1(X65)) )
& ( id(X65,esk9_1(X65))
| r1(esk7_1(X65)) )
& ( r2(esk8_1(X65),esk9_1(X65))
| r1(esk7_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])])])])]) ).
fof(c_0_22,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_23,plain,
( id(X1,esk1_0)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
r1(esk6_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( ~ r2(X1,X2)
| ~ r1(X3)
| ~ id(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( r1(esk7_1(X1))
| r2(esk8_1(X1),esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( id(X3,X2)
| ~ id(X1,X2)
| ~ id(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
id(esk6_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_29,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])])]) ).
fof(c_0_30,plain,
! [X57] :
( id(esk2_1(X57),X57)
& r1(esk3_1(X57))
& r3(X57,esk3_1(X57),esk2_1(X57)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_4a])])])]) ).
cnf(c_0_31,plain,
( r1(esk7_1(X1))
| ~ r1(X2)
| ~ id(X2,esk9_1(X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
( id(esk6_1(X1),X2)
| ~ id(esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_33,plain,
! [X17,X18] :
( ~ id(X17,X18)
| id(X18,X17) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_6])]) ).
cnf(c_0_34,plain,
( r1(X1)
| ~ id(X1,X2)
| ~ r1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
id(esk2_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_36,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])])]) ).
cnf(c_0_37,plain,
( r1(esk7_1(X1))
| ~ id(esk1_0,esk9_1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_24])]) ).
cnf(c_0_38,plain,
( r1(esk7_1(X1))
| id(X1,esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_39,plain,
! [X38,X39,X40,X41,X42,X43] :
( ( r4(X38,X39,X40)
| ~ r4(X38,X39,X40)
| ~ id(X38,X41)
| ~ id(X39,X42)
| ~ id(X40,X43) )
& ( r4(X41,X42,X43)
| ~ r4(X38,X39,X40)
| ~ id(X38,X41)
| ~ id(X39,X42)
| ~ id(X40,X43) )
& ( r4(X38,X39,X40)
| ~ r4(X41,X42,X43)
| ~ id(X38,X41)
| ~ id(X39,X42)
| ~ id(X40,X43) )
& ( r4(X41,X42,X43)
| ~ r4(X41,X42,X43)
| ~ id(X38,X41)
| ~ id(X39,X42)
| ~ id(X40,X43) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_11])])]) ).
cnf(c_0_40,plain,
( id(X1,X2)
| ~ id(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_41,plain,
! [X10,X11,X13] :
( ( ~ r3(X10,X11,X13)
| id(X13,esk16_2(X10,X11)) )
& ( ~ id(X13,esk16_2(X10,X11))
| id(X13,esk16_2(X10,X11)) )
& ( ~ r3(X10,X11,X13)
| r3(X10,X11,X13) )
& ( ~ id(X13,esk16_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])])])]) ).
cnf(c_0_42,plain,
( r1(esk2_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_43,plain,
( r2(X3,X1)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_44,plain,
! [X15] : id(X15,X15),
inference(variable_rename,[status(thm)],[axiom_5]) ).
cnf(c_0_45,plain,
r1(esk7_1(esk1_0)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_46,plain,
( r4(X6,X4,X2)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X5,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
r4(X1,esk5_1(X1),esk4_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_48,plain,
r1(esk5_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_49,plain,
id(esk4_1(X1),esk6_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_50,plain,
id(X1,esk2_1(X1)),
inference(spm,[status(thm)],[c_0_40,c_0_35]) ).
cnf(c_0_51,plain,
( id(X1,esk16_2(X2,X3))
| ~ r3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,plain,
r3(X1,esk3_1(X1),esk2_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_53,plain,
( r2(X4,X2)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_54,plain,
( id(esk2_1(X1),esk1_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_42]) ).
cnf(c_0_55,plain,
( r2(esk2_1(X1),X2)
| ~ r2(X1,X3)
| ~ id(X2,X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_35]) ).
cnf(c_0_56,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_57,plain,
id(esk7_1(esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_45]) ).
cnf(c_0_58,plain,
( r4(X1,X2,X3)
| ~ id(esk5_1(X4),X2)
| ~ id(esk4_1(X4),X3)
| ~ id(X4,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_59,plain,
id(esk5_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_48]) ).
cnf(c_0_60,plain,
r1(esk4_1(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_49]),c_0_24])]) ).
cnf(c_0_61,plain,
( id(X1,X2)
| ~ id(esk2_1(X1),X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_50]) ).
cnf(c_0_62,plain,
id(esk2_1(X1),esk16_2(X1,esk3_1(X1))),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_63,plain,
( r2(esk1_0,X1)
| ~ r2(esk2_1(X2),X3)
| ~ r1(X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_64,plain,
( r2(esk2_1(X1),X2)
| ~ r2(X1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_65,plain,
! [X6,X8] :
( ( ~ r2(X6,X8)
| id(X8,esk15_1(X6)) )
& ( ~ id(X8,esk15_1(X6))
| id(X8,esk15_1(X6)) )
& ( ~ r2(X6,X8)
| r2(X6,X8) )
& ( ~ id(X8,esk15_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])])])]) ).
cnf(c_0_66,plain,
( id(esk7_1(esk1_0),X1)
| ~ id(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_57]) ).
cnf(c_0_67,plain,
( r4(X1,esk1_0,X2)
| ~ id(esk4_1(X3),X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_68,plain,
id(esk4_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_60]) ).
cnf(c_0_69,plain,
id(X1,esk16_2(X1,esk3_1(X1))),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_70,plain,
( r2(esk1_0,X1)
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,plain,
( r2(X1,X2)
| ~ id(X2,esk15_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_72,plain,
( id(X1,esk7_1(esk1_0))
| ~ id(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_66]) ).
cnf(c_0_73,plain,
( id(esk1_0,esk2_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_54]) ).
cnf(c_0_74,plain,
( r1(X2)
| ~ id(X1,X2)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_75,plain,
( id(esk2_1(X1),X2)
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_35]) ).
fof(c_0_76,plain,
! [X14,X15,X17] :
( ( ~ r4(X14,X15,X17)
| id(X17,esk10_2(X14,X15)) )
& ( ~ id(X17,esk10_2(X14,X15))
| id(X17,esk10_2(X14,X15)) )
& ( ~ r4(X14,X15,X17)
| r4(X14,X15,X17) )
& ( ~ id(X17,esk10_2(X14,X15))
| r4(X14,X15,X17) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_4])])])]) ).
cnf(c_0_77,plain,
( r4(X1,esk1_0,esk1_0)
| ~ id(X2,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_78,plain,
id(esk16_2(X1,esk3_1(X1)),X1),
inference(spm,[status(thm)],[c_0_40,c_0_69]) ).
fof(c_0_79,plain,
! [X54,X55,X56,X57] :
( ~ id(X57,X56)
| ~ r2(X54,X57)
| ~ r2(X55,X56)
| id(X54,X55) ),
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_3a])])])])]) ).
cnf(c_0_80,plain,
( r2(X1,X2)
| ~ r2(X1,X3)
| ~ id(X3,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_56]) ).
cnf(c_0_81,plain,
( r2(esk1_0,X1)
| ~ r2(X2,X1)
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_56]) ).
cnf(c_0_82,plain,
r2(X1,esk15_1(X1)),
inference(spm,[status(thm)],[c_0_71,c_0_56]) ).
cnf(c_0_83,plain,
( id(esk2_1(X1),esk7_1(esk1_0))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_84,plain,
( r1(X1)
| ~ r1(esk2_1(X2))
| ~ id(X2,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_85,plain,
( r1(X1)
| ~ id(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_86,plain,
( id(X1,esk10_2(X2,X3))
| ~ r4(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_87,plain,
r4(X1,esk1_0,esk1_0),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_88,plain,
! [X50,X51] :
( id(esk12_2(X50,X51),esk11_2(X50,X51))
& r2(X51,esk13_2(X50,X51))
& r4(X50,esk13_2(X50,X51),esk12_2(X50,X51))
& r3(esk14_2(X50,X51),X50,esk11_2(X50,X51))
& r4(X50,X51,esk14_2(X50,X51)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_2a])])])]) ).
cnf(c_0_89,plain,
( id(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X1,X4)
| ~ id(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_90,plain,
( r2(X1,esk2_1(X2))
| ~ r2(X1,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_50]) ).
cnf(c_0_91,plain,
( r2(X1,X2)
| ~ r2(X1,esk2_1(X3))
| ~ id(X3,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_75]) ).
cnf(c_0_92,plain,
r2(X1,esk2_1(esk15_1(X1))),
inference(spm,[status(thm)],[c_0_71,c_0_35]) ).
cnf(c_0_93,plain,
( id(X1,esk15_1(X2))
| ~ r2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_94,plain,
( r2(esk1_0,esk15_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_95,plain,
( r2(X1,X2)
| ~ r2(esk2_1(X1),X3)
| ~ id(X3,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_35]) ).
cnf(c_0_96,plain,
( id(X1,esk7_1(esk1_0))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_83]) ).
cnf(c_0_97,plain,
( r1(X1)
| ~ id(esk2_1(X2),esk1_0)
| ~ id(X2,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_98,plain,
id(esk1_0,esk10_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_99,plain,
r4(X1,X2,esk14_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_100,plain,
( id(X1,X2)
| ~ r2(X1,X3)
| ~ r2(X2,X4)
| ~ id(X3,esk2_1(X4)) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_101,plain,
( r2(X1,X2)
| ~ id(esk15_1(X1),X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_102,plain,
( id(esk15_1(X1),esk15_1(esk1_0))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_103,plain,
( r2(X1,X2)
| ~ id(esk15_1(esk2_1(X1)),X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_82]) ).
cnf(c_0_104,plain,
( r1(esk2_1(X1))
| ~ r1(X2)
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_75]) ).
cnf(c_0_105,plain,
( id(X1,esk7_1(esk1_0))
| ~ id(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_96,c_0_85]) ).
cnf(c_0_106,plain,
( r1(X1)
| ~ id(X2,esk1_0)
| ~ id(X2,X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_75]) ).
cnf(c_0_107,plain,
id(esk10_2(X1,esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_40,c_0_98]) ).
cnf(c_0_108,plain,
id(esk14_2(X1,X2),esk10_2(X1,X2)),
inference(spm,[status(thm)],[c_0_86,c_0_99]) ).
fof(c_0_109,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_110,plain,
id(esk1_0,esk7_1(esk1_0)),
inference(spm,[status(thm)],[c_0_40,c_0_57]) ).
cnf(c_0_111,plain,
( id(X1,X2)
| ~ r2(X1,X3)
| ~ r2(X2,X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_50]) ).
cnf(c_0_112,plain,
( r2(X1,esk15_1(esk1_0))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_113,plain,
( r2(X1,esk15_1(esk1_0))
| ~ r1(esk2_1(X1)) ),
inference(spm,[status(thm)],[c_0_103,c_0_102]) ).
cnf(c_0_114,plain,
( r1(esk2_1(X1))
| ~ id(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_45])]) ).
cnf(c_0_115,plain,
( r1(X1)
| ~ id(esk10_2(X2,esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_116,plain,
id(esk10_2(X1,X2),esk14_2(X1,X2)),
inference(spm,[status(thm)],[c_0_40,c_0_108]) ).
cnf(c_0_117,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_109]) ).
cnf(c_0_118,plain,
r1(esk3_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_119,plain,
( id(esk1_0,X1)
| ~ id(esk7_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_110]) ).
cnf(c_0_120,plain,
( id(X1,X2)
| ~ r2(X2,esk15_1(esk1_0))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_121,plain,
( r2(X1,esk15_1(esk1_0))
| ~ id(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_122,plain,
r1(esk14_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_123,plain,
( r3(X1,X2,X3)
| ~ id(esk3_1(X4),X2)
| ~ id(esk2_1(X4),X3)
| ~ id(X4,X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_52]) ).
cnf(c_0_124,plain,
id(esk3_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_118]) ).
cnf(c_0_125,plain,
id(esk1_0,esk2_1(esk7_1(esk1_0))),
inference(spm,[status(thm)],[c_0_119,c_0_50]) ).
cnf(c_0_126,plain,
( id(X1,X2)
| ~ r1(X1)
| ~ id(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_127,plain,
id(esk14_2(X1,esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_122]) ).
cnf(c_0_128,plain,
( r3(X1,esk1_0,X2)
| ~ id(esk2_1(X3),X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_129,plain,
id(esk2_1(esk7_1(esk1_0)),esk1_0),
inference(spm,[status(thm)],[c_0_40,c_0_125]) ).
cnf(c_0_130,plain,
( id(X1,esk14_2(X2,esk1_0))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_131,plain,
( r3(X1,esk1_0,esk1_0)
| ~ id(esk7_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_132,plain,
( id(X1,esk14_2(X2,esk1_0))
| ~ id(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_85]) ).
cnf(c_0_133,plain,
r3(esk14_2(X1,X2),X1,esk11_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_134,plain,
r3(esk14_2(X1,esk1_0),esk1_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_57])]) ).
fof(c_0_135,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]) ).
cnf(c_0_136,plain,
id(esk11_2(X1,X2),esk16_2(esk14_2(X1,X2),X1)),
inference(spm,[status(thm)],[c_0_51,c_0_133]) ).
cnf(c_0_137,plain,
id(esk1_0,esk16_2(esk14_2(X1,esk1_0),esk1_0)),
inference(spm,[status(thm)],[c_0_51,c_0_134]) ).
cnf(c_0_138,plain,
r1(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_59]),c_0_48])]) ).
fof(c_0_139,negated_conjecture,
! [X64,X65,X66,X67,X68] :
( ~ r1(X66)
| ~ r2(X66,X65)
| ~ r1(X67)
| ~ r4(X67,X65,X64)
| ~ id(X64,X68)
| ~ r1(X68) ),
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_135])])])])]) ).
cnf(c_0_140,plain,
id(esk12_2(X1,X2),esk11_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_141,plain,
( r1(esk11_2(X1,X2))
| ~ r1(esk16_2(esk14_2(X1,X2),X1)) ),
inference(spm,[status(thm)],[c_0_34,c_0_136]) ).
cnf(c_0_142,plain,
r1(esk16_2(esk14_2(X1,esk1_0),esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_137]),c_0_138])]) ).
cnf(c_0_143,negated_conjecture,
( ~ r1(X1)
| ~ id(X2,X1)
| ~ r4(X3,X4,X2)
| ~ r1(X3)
| ~ r2(X5,X4)
| ~ r1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_144,plain,
r4(X1,esk13_2(X1,X2),esk12_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_145,plain,
( r1(esk12_2(X1,X2))
| ~ r1(esk11_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_34,c_0_140]) ).
cnf(c_0_146,plain,
r1(esk11_2(esk1_0,esk1_0)),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_147,negated_conjecture,
( ~ r2(X1,esk13_2(X2,X3))
| ~ r1(X1)
| ~ r1(X2)
| ~ r1(X4)
| ~ id(esk12_2(X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_148,plain,
r2(X1,esk13_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_149,plain,
r1(esk12_2(esk1_0,esk1_0)),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_150,negated_conjecture,
( ~ r1(X1)
| ~ r1(X2)
| ~ r1(X3)
| ~ id(esk12_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_151,plain,
id(esk12_2(esk1_0,esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_149]) ).
cnf(c_0_152,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_138])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN086+1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n019.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 : 600
% 0.13/0.35 % DateTime : Thu Jun 2 08:42:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.26/2.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/2.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/2.44 # Preprocessing time : 0.017 s
% 0.26/2.44
% 0.26/2.44 # Proof found!
% 0.26/2.44 # SZS status Theorem
% 0.26/2.44 # SZS output start CNFRefutation
% See solution above
% 0.26/2.44 # Proof object total steps : 153
% 0.26/2.44 # Proof object clause steps : 116
% 0.26/2.44 # Proof object formula steps : 37
% 0.26/2.44 # Proof object conjectures : 7
% 0.26/2.44 # Proof object clause conjectures : 4
% 0.26/2.44 # Proof object formula conjectures : 3
% 0.26/2.44 # Proof object initial clauses used : 32
% 0.26/2.44 # Proof object initial formulas used : 18
% 0.26/2.44 # Proof object generating inferences : 84
% 0.26/2.44 # Proof object simplifying inferences : 14
% 0.26/2.44 # Training examples: 0 positive, 0 negative
% 0.26/2.44 # Parsed axioms : 19
% 0.26/2.44 # Removed by relevancy pruning/SinE : 0
% 0.26/2.44 # Initial clauses : 59
% 0.26/2.44 # Removed in clause preprocessing : 16
% 0.26/2.44 # Initial clauses in saturation : 43
% 0.26/2.44 # Processed clauses : 9902
% 0.26/2.44 # ...of these trivial : 1305
% 0.26/2.44 # ...subsumed : 5767
% 0.26/2.44 # ...remaining for further processing : 2830
% 0.26/2.44 # Other redundant clauses eliminated : 0
% 0.26/2.44 # Clauses deleted for lack of memory : 0
% 0.26/2.44 # Backward-subsumed : 28
% 0.26/2.44 # Backward-rewritten : 33
% 0.26/2.44 # Generated clauses : 140145
% 0.26/2.44 # ...of the previous two non-trivial : 125590
% 0.26/2.44 # Contextual simplify-reflections : 417
% 0.26/2.44 # Paramodulations : 140145
% 0.26/2.44 # Factorizations : 0
% 0.26/2.44 # Equation resolutions : 0
% 0.26/2.44 # Current number of processed clauses : 2769
% 0.26/2.44 # Positive orientable unit clauses : 1229
% 0.26/2.44 # Positive unorientable unit clauses: 0
% 0.26/2.44 # Negative unit clauses : 78
% 0.26/2.44 # Non-unit-clauses : 1462
% 0.26/2.44 # Current number of unprocessed clauses: 110297
% 0.26/2.44 # ...number of literals in the above : 238503
% 0.26/2.44 # Current number of archived formulas : 0
% 0.26/2.44 # Current number of archived clauses : 61
% 0.26/2.44 # Clause-clause subsumption calls (NU) : 345459
% 0.26/2.44 # Rec. Clause-clause subsumption calls : 254591
% 0.26/2.44 # Non-unit clause-clause subsumptions : 3655
% 0.26/2.44 # Unit Clause-clause subsumption calls : 23661
% 0.26/2.44 # Rewrite failures with RHS unbound : 0
% 0.26/2.44 # BW rewrite match attempts : 3444
% 0.26/2.44 # BW rewrite match successes : 33
% 0.26/2.44 # Condensation attempts : 0
% 0.26/2.44 # Condensation successes : 0
% 0.26/2.44 # Termbank termtop insertions : 1665034
% 0.26/2.44
% 0.26/2.44 # -------------------------------------------------
% 0.26/2.44 # User time : 1.274 s
% 0.26/2.44 # System time : 0.045 s
% 0.26/2.44 # Total time : 1.319 s
% 0.26/2.44 # Maximum resident set size: 79624 pages
% 0.26/23.43 eprover: CPU time limit exceeded, terminating
% 0.26/23.43 eprover: CPU time limit exceeded, terminating
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------