TSTP Solution File: NUN066+1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : NUN066+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n025.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 16:29:15 EDT 2022
% Result : Theorem 46.82s 47.03s
% Output : CNFRefutation 46.87s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(axiom_5,axiom,
! [X20] : id(X20,X20),
input ).
fof(axiom_5_0,plain,
! [X20] :
( id(X20,X20)
| $false ),
inference(orientation,[status(thm)],[axiom_5]) ).
fof(def_lhs_atom1,axiom,
! [X20] :
( lhs_atom1(X20)
<=> id(X20,X20) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [X20] :
( lhs_atom1(X20)
| $false ),
inference(fold_definition,[status(thm)],[axiom_5_0,def_lhs_atom1]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1] :
( lhs_atom1(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_1,plain,
! [X1] : lhs_atom1(X1),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2,plain,
! [X2] : lhs_atom1(X2),
inference(variable_rename,[status(thm)],[c_0_1]) ).
cnf(c_0_3,plain,
lhs_atom1(X1),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,plain,
lhs_atom1(X1),
c_0_3,
[final] ).
% End CNF derivation
cnf(c_0_4_0,axiom,
id(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_4,def_lhs_atom1]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X37,X38,X39,X40,X41,X42] :
( ~ id(X37,X40)
| ~ id(X38,X41)
| ~ id(X39,X42)
| ( ~ r3(X37,X38,X39)
& ~ r3(X40,X41,X42) )
| ( r3(X37,X38,X39)
& r3(X40,X41,X42) ) ),
file('<stdin>',axiom_10) ).
fof(c_0_1_002,axiom,
! [X31,X32,X33,X34,X35,X36] :
( ~ id(X31,X34)
| ~ id(X32,X35)
| ~ id(X33,X36)
| ( ~ r4(X31,X32,X33)
& ~ r4(X34,X35,X36) )
| ( r4(X31,X32,X33)
& r4(X34,X35,X36) ) ),
file('<stdin>',axiom_11) ).
fof(c_0_2_003,axiom,
! [X58,X59] :
? [X60] :
! [X61] :
( ( id(X61,X60)
& r3(X58,X59,X61) )
| ( ~ r3(X58,X59,X61)
& ~ id(X61,X60) ) ),
file('<stdin>',axiom_3) ).
fof(c_0_3_004,axiom,
! [X54,X55] :
? [X56] :
! [X57] :
( ( id(X57,X56)
& r4(X54,X55,X57) )
| ( ~ r4(X54,X55,X57)
& ~ id(X57,X56) ) ),
file('<stdin>',axiom_4) ).
fof(c_0_4_005,axiom,
! [X25,X26] :
? [X27] :
( ? [X28] :
( id(X28,X27)
& ? [X29] :
( r2(X26,X29)
& r3(X25,X29,X28) ) )
& ? [X30] :
( r2(X30,X27)
& r3(X25,X26,X30) ) ),
file('<stdin>',axiom_1a) ).
fof(c_0_5,axiom,
! [X19,X20] :
? [X21] :
( ? [X22] :
( id(X22,X21)
& ? [X23] :
( r2(X20,X23)
& r4(X19,X23,X22) ) )
& ? [X24] :
( r3(X24,X19,X21)
& r4(X19,X20,X24) ) ),
file('<stdin>',axiom_2a) ).
fof(c_0_6,axiom,
! [X43,X44,X45,X46] :
( ~ id(X43,X45)
| ~ id(X44,X46)
| ( ~ r2(X43,X44)
& ~ r2(X45,X46) )
| ( r2(X43,X44)
& r2(X45,X46) ) ),
file('<stdin>',axiom_9) ).
fof(c_0_7,axiom,
! [X15,X16] :
( ! [X17] :
( ! [X18] :
( ~ id(X18,X17)
| ~ r2(X15,X18) )
| ~ r2(X16,X17) )
| id(X15,X16) ),
file('<stdin>',axiom_3a) ).
fof(c_0_8,axiom,
! [X12] :
? [X13] :
( id(X13,X12)
& ? [X14] :
( r1(X14)
& r3(X12,X14,X13) ) ),
file('<stdin>',axiom_4a) ).
fof(c_0_9,axiom,
! [X8] :
? [X9] :
( ? [X10] :
( r1(X10)
& r4(X8,X10,X9) )
& ? [X11] :
( id(X9,X11)
& r1(X11) ) ),
file('<stdin>',axiom_5a) ).
fof(c_0_10,axiom,
! [X49,X50,X51] :
( ~ id(X49,X50)
| id(X49,X51)
| ~ id(X50,X51) ),
file('<stdin>',axiom_7) ).
fof(c_0_11,axiom,
! [X62] :
? [X63] :
! [X64] :
( ( id(X64,X63)
& r2(X62,X64) )
| ( ~ r2(X62,X64)
& ~ id(X64,X63) ) ),
file('<stdin>',axiom_2) ).
fof(c_0_12,axiom,
! [X1,X2] :
( ! [X3] :
( ~ id(X3,X2)
| ~ r1(X3) )
| ~ r2(X1,X2) ),
file('<stdin>',axiom_7a) ).
fof(c_0_13,axiom,
! [X4] :
( ? [X5] :
( id(X4,X5)
& r1(X5) )
| ? [X6,X7] :
( id(X4,X7)
& r2(X6,X7) ) ),
file('<stdin>',axiom_6a) ).
fof(c_0_14,axiom,
! [X52,X53] :
( ~ id(X52,X53)
| id(X53,X52) ),
file('<stdin>',axiom_6) ).
fof(c_0_15,axiom,
! [X47,X48] :
( ~ id(X47,X48)
| ( ~ r1(X47)
& ~ r1(X48) )
| ( r1(X47)
& r1(X48) ) ),
file('<stdin>',axiom_8) ).
fof(c_0_16,axiom,
? [X65] :
! [X66] :
( ( id(X66,X65)
& r1(X66) )
| ( ~ r1(X66)
& ~ id(X66,X65) ) ),
file('<stdin>',axiom_1) ).
fof(c_0_17,plain,
! [X37,X38,X39,X40,X41,X42] :
( ~ id(X37,X40)
| ~ id(X38,X41)
| ~ id(X39,X42)
| ( ~ r3(X37,X38,X39)
& ~ r3(X40,X41,X42) )
| ( r3(X37,X38,X39)
& r3(X40,X41,X42) ) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_18,plain,
! [X31,X32,X33,X34,X35,X36] :
( ~ id(X31,X34)
| ~ id(X32,X35)
| ~ id(X33,X36)
| ( ~ r4(X31,X32,X33)
& ~ r4(X34,X35,X36) )
| ( r4(X31,X32,X33)
& r4(X34,X35,X36) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_19,plain,
! [X58,X59] :
? [X60] :
! [X61] :
( ( id(X61,X60)
& r3(X58,X59,X61) )
| ( ~ r3(X58,X59,X61)
& ~ id(X61,X60) ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_20,plain,
! [X54,X55] :
? [X56] :
! [X57] :
( ( id(X57,X56)
& r4(X54,X55,X57) )
| ( ~ r4(X54,X55,X57)
& ~ id(X57,X56) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_21,axiom,
! [X25,X26] :
? [X27] :
( ? [X28] :
( id(X28,X27)
& ? [X29] :
( r2(X26,X29)
& r3(X25,X29,X28) ) )
& ? [X30] :
( r2(X30,X27)
& r3(X25,X26,X30) ) ),
c_0_4 ).
fof(c_0_22,axiom,
! [X19,X20] :
? [X21] :
( ? [X22] :
( id(X22,X21)
& ? [X23] :
( r2(X20,X23)
& r4(X19,X23,X22) ) )
& ? [X24] :
( r3(X24,X19,X21)
& r4(X19,X20,X24) ) ),
c_0_5 ).
fof(c_0_23,plain,
! [X43,X44,X45,X46] :
( ~ id(X43,X45)
| ~ id(X44,X46)
| ( ~ r2(X43,X44)
& ~ r2(X45,X46) )
| ( r2(X43,X44)
& r2(X45,X46) ) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_24,plain,
! [X15,X16] :
( ! [X17] :
( ! [X18] :
( ~ id(X18,X17)
| ~ r2(X15,X18) )
| ~ r2(X16,X17) )
| id(X15,X16) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_25,axiom,
! [X12] :
? [X13] :
( id(X13,X12)
& ? [X14] :
( r1(X14)
& r3(X12,X14,X13) ) ),
c_0_8 ).
fof(c_0_26,axiom,
! [X8] :
? [X9] :
( ? [X10] :
( r1(X10)
& r4(X8,X10,X9) )
& ? [X11] :
( id(X9,X11)
& r1(X11) ) ),
c_0_9 ).
fof(c_0_27,plain,
! [X49,X50,X51] :
( ~ id(X49,X50)
| id(X49,X51)
| ~ id(X50,X51) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_28,plain,
! [X62] :
? [X63] :
! [X64] :
( ( id(X64,X63)
& r2(X62,X64) )
| ( ~ r2(X62,X64)
& ~ id(X64,X63) ) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_29,plain,
! [X1,X2] :
( ! [X3] :
( ~ id(X3,X2)
| ~ r1(X3) )
| ~ r2(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_30,axiom,
! [X4] :
( ? [X5] :
( id(X4,X5)
& r1(X5) )
| ? [X6,X7] :
( id(X4,X7)
& r2(X6,X7) ) ),
c_0_13 ).
fof(c_0_31,plain,
! [X52,X53] :
( ~ id(X52,X53)
| id(X53,X52) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_32,plain,
! [X47,X48] :
( ~ id(X47,X48)
| ( ~ r1(X47)
& ~ r1(X48) )
| ( r1(X47)
& r1(X48) ) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_33,plain,
? [X65] :
! [X66] :
( ( id(X66,X65)
& r1(X66) )
| ( ~ r1(X66)
& ~ id(X66,X65) ) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_34,plain,
! [X43,X44,X45,X46,X47,X48] :
( ( r3(X43,X44,X45)
| ~ r3(X43,X44,X45)
| ~ id(X45,X48)
| ~ id(X44,X47)
| ~ id(X43,X46) )
& ( r3(X46,X47,X48)
| ~ r3(X43,X44,X45)
| ~ id(X45,X48)
| ~ id(X44,X47)
| ~ id(X43,X46) )
& ( r3(X43,X44,X45)
| ~ r3(X46,X47,X48)
| ~ id(X45,X48)
| ~ id(X44,X47)
| ~ id(X43,X46) )
& ( r3(X46,X47,X48)
| ~ r3(X46,X47,X48)
| ~ id(X45,X48)
| ~ id(X44,X47)
| ~ id(X43,X46) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_17])])])]) ).
fof(c_0_35,plain,
! [X37,X38,X39,X40,X41,X42] :
( ( r4(X37,X38,X39)
| ~ r4(X37,X38,X39)
| ~ id(X39,X42)
| ~ id(X38,X41)
| ~ id(X37,X40) )
& ( r4(X40,X41,X42)
| ~ r4(X37,X38,X39)
| ~ id(X39,X42)
| ~ id(X38,X41)
| ~ id(X37,X40) )
& ( r4(X37,X38,X39)
| ~ r4(X40,X41,X42)
| ~ id(X39,X42)
| ~ id(X38,X41)
| ~ id(X37,X40) )
& ( r4(X40,X41,X42)
| ~ r4(X40,X41,X42)
| ~ id(X39,X42)
| ~ id(X38,X41)
| ~ id(X37,X40) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_18])])])]) ).
fof(c_0_36,plain,
! [X62,X63,X65] :
( ( ~ r3(X62,X63,X65)
| id(X65,esk18_2(X62,X63)) )
& ( ~ id(X65,esk18_2(X62,X63))
| id(X65,esk18_2(X62,X63)) )
& ( ~ r3(X62,X63,X65)
| r3(X62,X63,X65) )
& ( ~ id(X65,esk18_2(X62,X63))
| r3(X62,X63,X65) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_19])])]) ).
fof(c_0_37,plain,
! [X58,X59,X61] :
( ( ~ r4(X58,X59,X61)
| id(X61,esk17_2(X58,X59)) )
& ( ~ id(X61,esk17_2(X58,X59))
| id(X61,esk17_2(X58,X59)) )
& ( ~ r4(X58,X59,X61)
| r4(X58,X59,X61) )
& ( ~ id(X61,esk17_2(X58,X59))
| r4(X58,X59,X61) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_20])])]) ).
fof(c_0_38,plain,
! [X31,X32] :
( id(esk14_2(X31,X32),esk13_2(X31,X32))
& r2(X32,esk15_2(X31,X32))
& r3(X31,esk15_2(X31,X32),esk14_2(X31,X32))
& r2(esk16_2(X31,X32),esk13_2(X31,X32))
& r3(X31,X32,esk16_2(X31,X32)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_21])]) ).
fof(c_0_39,plain,
! [X25,X26] :
( id(esk10_2(X25,X26),esk9_2(X25,X26))
& r2(X26,esk11_2(X25,X26))
& r4(X25,esk11_2(X25,X26),esk10_2(X25,X26))
& r3(esk12_2(X25,X26),X25,esk9_2(X25,X26))
& r4(X25,X26,esk12_2(X25,X26)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_22])]) ).
fof(c_0_40,plain,
! [X47,X48,X49,X50] :
( ( r2(X47,X48)
| ~ r2(X47,X48)
| ~ id(X48,X50)
| ~ id(X47,X49) )
& ( r2(X49,X50)
| ~ r2(X47,X48)
| ~ id(X48,X50)
| ~ id(X47,X49) )
& ( r2(X47,X48)
| ~ r2(X49,X50)
| ~ id(X48,X50)
| ~ id(X47,X49) )
& ( r2(X49,X50)
| ~ r2(X49,X50)
| ~ id(X48,X50)
| ~ id(X47,X49) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_23])])])]) ).
fof(c_0_41,plain,
! [X19,X20,X21,X22] :
( ~ id(X22,X21)
| ~ r2(X19,X22)
| ~ r2(X20,X21)
| id(X19,X20) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_24])]) ).
fof(c_0_42,plain,
! [X15] :
( id(esk7_1(X15),X15)
& r1(esk8_1(X15))
& r3(X15,esk8_1(X15),esk7_1(X15)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_25])]) ).
fof(c_0_43,plain,
! [X12] :
( r1(esk5_1(X12))
& r4(X12,esk5_1(X12),esk4_1(X12))
& id(esk4_1(X12),esk6_1(X12))
& r1(esk6_1(X12)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_26])]) ).
fof(c_0_44,plain,
! [X52,X53,X54] :
( ~ id(X52,X53)
| id(X52,X54)
| ~ id(X53,X54) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_27])])]) ).
fof(c_0_45,plain,
! [X65,X67] :
( ( ~ r2(X65,X67)
| id(X67,esk19_1(X65)) )
& ( ~ id(X67,esk19_1(X65))
| id(X67,esk19_1(X65)) )
& ( ~ r2(X65,X67)
| r2(X65,X67) )
& ( ~ id(X67,esk19_1(X65))
| r2(X65,X67) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_28])])]) ).
fof(c_0_46,plain,
! [X4,X5,X6] :
( ~ id(X6,X5)
| ~ r1(X6)
| ~ r2(X4,X5) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_29])]) ).
fof(c_0_47,plain,
! [X8] :
( ( id(X8,esk3_1(X8))
| id(X8,esk1_1(X8)) )
& ( r2(esk2_1(X8),esk3_1(X8))
| id(X8,esk1_1(X8)) )
& ( id(X8,esk3_1(X8))
| r1(esk1_1(X8)) )
& ( r2(esk2_1(X8),esk3_1(X8))
| r1(esk1_1(X8)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_30])])]) ).
fof(c_0_48,plain,
! [X54,X55] :
( ~ id(X54,X55)
| id(X55,X54) ),
inference(variable_rename,[status(thm)],[c_0_31]) ).
fof(c_0_49,plain,
! [X49,X50] :
( ( r1(X49)
| ~ r1(X49)
| ~ id(X49,X50) )
& ( r1(X50)
| ~ r1(X49)
| ~ id(X49,X50) )
& ( r1(X49)
| ~ r1(X50)
| ~ id(X49,X50) )
& ( r1(X50)
| ~ r1(X50)
| ~ id(X49,X50) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_32])]) ).
fof(c_0_50,plain,
! [X68] :
( ( ~ r1(X68)
| id(X68,esk20_0) )
& ( ~ id(X68,esk20_0)
| id(X68,esk20_0) )
& ( ~ r1(X68)
| r1(X68) )
& ( ~ id(X68,esk20_0)
| r1(X68) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_33])])]) ).
cnf(c_0_51,plain,
( r3(X1,X3,X5)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_52,plain,
( r3(X2,X4,X6)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_53,plain,
( r3(X1,X3,X5)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X2,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_54,plain,
( r3(X2,X4,X6)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X2,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_55,plain,
( r4(X1,X3,X5)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_56,plain,
( r4(X2,X4,X6)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_57,plain,
( r4(X1,X3,X5)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X2,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_58,plain,
( r4(X2,X4,X6)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X2,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_59,plain,
( r3(X1,X2,X3)
| ~ r3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_60,plain,
( r4(X1,X2,X3)
| ~ r4(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_61,plain,
( id(X1,esk18_2(X2,X3))
| ~ r3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_62,plain,
( id(X1,esk17_2(X2,X3))
| ~ r4(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_63,plain,
( r3(X1,X2,X3)
| ~ id(X3,esk18_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_64,plain,
( r4(X1,X2,X3)
| ~ id(X3,esk17_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_65,plain,
r3(X1,esk15_2(X1,X2),esk14_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_66,plain,
r4(X1,esk11_2(X1,X2),esk10_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_67,plain,
r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_68,plain,
( id(X1,esk18_2(X2,X3))
| ~ id(X1,esk18_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_69,plain,
( id(X1,esk17_2(X2,X3))
| ~ id(X1,esk17_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_70,plain,
( r2(X1,X3)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_71,plain,
( r2(X2,X4)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_72,plain,
( r2(X1,X3)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_73,plain,
( r2(X2,X4)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_74,plain,
( id(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X1,X4)
| ~ id(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_75,plain,
r3(X1,X2,esk16_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_76,plain,
r4(X1,X2,esk12_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_77,plain,
r3(X1,esk8_1(X1),esk7_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_78,plain,
r4(X1,esk5_1(X1),esk4_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_79,plain,
id(esk14_2(X1,X2),esk13_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_80,plain,
r2(esk16_2(X1,X2),esk13_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_81,plain,
id(esk10_2(X1,X2),esk9_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_82,plain,
( id(X3,X2)
| ~ id(X1,X2)
| ~ id(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_83,plain,
( id(X1,esk19_1(X2))
| ~ id(X1,esk19_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_84,plain,
( ~ r2(X1,X2)
| ~ r1(X3)
| ~ id(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_85,plain,
( id(X1,esk1_1(X1))
| r2(esk2_1(X1),esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_86,plain,
( r2(X1,X2)
| ~ id(X2,esk19_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_87,plain,
( id(X1,esk19_1(X2))
| ~ r2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_88,plain,
( id(X1,esk1_1(X1))
| id(X1,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_89,plain,
r2(X1,esk15_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_90,plain,
r2(X1,esk11_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_91,plain,
( r1(esk1_1(X1))
| r2(esk2_1(X1),esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_92,plain,
( r2(X1,X2)
| ~ r2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_93,plain,
( id(X1,X2)
| ~ id(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_94,plain,
( r1(X1)
| ~ id(X1,X2)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_95,plain,
( r1(X2)
| ~ id(X1,X2)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_96,plain,
( r1(X1)
| ~ id(X1,X2)
| ~ r1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_97,plain,
( r1(X2)
| ~ id(X1,X2)
| ~ r1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_98,plain,
( id(X1,esk20_0)
| ~ id(X1,esk20_0) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_99,plain,
( r1(esk1_1(X1))
| id(X1,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_100,plain,
id(esk4_1(X1),esk6_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_101,plain,
( r1(X1)
| ~ id(X1,esk20_0) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_102,plain,
id(esk7_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_103,plain,
( id(X1,esk20_0)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_104,plain,
( r1(X1)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_105,plain,
r1(esk8_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_106,plain,
r1(esk5_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_107,plain,
r1(esk6_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_108,plain,
( r3(X1,X3,X5)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X1,X3,X5) ),
c_0_51,
[final] ).
cnf(c_0_109,plain,
( r3(X2,X4,X6)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X1,X3,X5) ),
c_0_52,
[final] ).
cnf(c_0_110,plain,
( r3(X1,X3,X5)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X2,X4,X6) ),
c_0_53,
[final] ).
cnf(c_0_111,plain,
( r3(X2,X4,X6)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X2,X4,X6) ),
c_0_54,
[final] ).
cnf(c_0_112,plain,
( r4(X1,X3,X5)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X1,X3,X5) ),
c_0_55,
[final] ).
cnf(c_0_113,plain,
( r4(X2,X4,X6)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X1,X3,X5) ),
c_0_56,
[final] ).
cnf(c_0_114,plain,
( r4(X1,X3,X5)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X2,X4,X6) ),
c_0_57,
[final] ).
cnf(c_0_115,plain,
( r4(X2,X4,X6)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X2,X4,X6) ),
c_0_58,
[final] ).
cnf(c_0_116,plain,
( r3(X1,X2,X3)
| ~ r3(X1,X2,X3) ),
c_0_59,
[final] ).
cnf(c_0_117,plain,
( r4(X1,X2,X3)
| ~ r4(X1,X2,X3) ),
c_0_60,
[final] ).
cnf(c_0_118,plain,
( id(X1,esk18_2(X2,X3))
| ~ r3(X2,X3,X1) ),
c_0_61,
[final] ).
cnf(c_0_119,plain,
( id(X1,esk17_2(X2,X3))
| ~ r4(X2,X3,X1) ),
c_0_62,
[final] ).
cnf(c_0_120,plain,
( r3(X1,X2,X3)
| ~ id(X3,esk18_2(X1,X2)) ),
c_0_63,
[final] ).
cnf(c_0_121,plain,
( r4(X1,X2,X3)
| ~ id(X3,esk17_2(X1,X2)) ),
c_0_64,
[final] ).
cnf(c_0_122,plain,
r3(X1,esk15_2(X1,X2),esk14_2(X1,X2)),
c_0_65,
[final] ).
cnf(c_0_123,plain,
r4(X1,esk11_2(X1,X2),esk10_2(X1,X2)),
c_0_66,
[final] ).
cnf(c_0_124,plain,
r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
c_0_67,
[final] ).
cnf(c_0_125,plain,
( id(X1,esk18_2(X2,X3))
| ~ id(X1,esk18_2(X2,X3)) ),
c_0_68,
[final] ).
cnf(c_0_126,plain,
( id(X1,esk17_2(X2,X3))
| ~ id(X1,esk17_2(X2,X3)) ),
c_0_69,
[final] ).
cnf(c_0_127,plain,
( r2(X1,X3)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X1,X3) ),
c_0_70,
[final] ).
cnf(c_0_128,plain,
( r2(X2,X4)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X1,X3) ),
c_0_71,
[final] ).
cnf(c_0_129,plain,
( r2(X1,X3)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X2,X4) ),
c_0_72,
[final] ).
cnf(c_0_130,plain,
( r2(X2,X4)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X2,X4) ),
c_0_73,
[final] ).
cnf(c_0_131,plain,
( id(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X1,X4)
| ~ id(X4,X3) ),
c_0_74,
[final] ).
cnf(c_0_132,plain,
r3(X1,X2,esk16_2(X1,X2)),
c_0_75,
[final] ).
cnf(c_0_133,plain,
r4(X1,X2,esk12_2(X1,X2)),
c_0_76,
[final] ).
cnf(c_0_134,plain,
r3(X1,esk8_1(X1),esk7_1(X1)),
c_0_77,
[final] ).
cnf(c_0_135,plain,
r4(X1,esk5_1(X1),esk4_1(X1)),
c_0_78,
[final] ).
cnf(c_0_136,plain,
id(esk14_2(X1,X2),esk13_2(X1,X2)),
c_0_79,
[final] ).
cnf(c_0_137,plain,
r2(esk16_2(X1,X2),esk13_2(X1,X2)),
c_0_80,
[final] ).
cnf(c_0_138,plain,
id(esk10_2(X1,X2),esk9_2(X1,X2)),
c_0_81,
[final] ).
cnf(c_0_139,plain,
( id(X3,X2)
| ~ id(X1,X2)
| ~ id(X3,X1) ),
c_0_82,
[final] ).
cnf(c_0_140,plain,
( id(X1,esk19_1(X2))
| ~ id(X1,esk19_1(X2)) ),
c_0_83,
[final] ).
cnf(c_0_141,plain,
( ~ r2(X1,X2)
| ~ r1(X3)
| ~ id(X3,X2) ),
c_0_84,
[final] ).
cnf(c_0_142,plain,
( id(X1,esk1_1(X1))
| r2(esk2_1(X1),esk3_1(X1)) ),
c_0_85,
[final] ).
cnf(c_0_143,plain,
( r2(X1,X2)
| ~ id(X2,esk19_1(X1)) ),
c_0_86,
[final] ).
cnf(c_0_144,plain,
( id(X1,esk19_1(X2))
| ~ r2(X2,X1) ),
c_0_87,
[final] ).
cnf(c_0_145,plain,
( id(X1,esk1_1(X1))
| id(X1,esk3_1(X1)) ),
c_0_88,
[final] ).
cnf(c_0_146,plain,
r2(X1,esk15_2(X2,X1)),
c_0_89,
[final] ).
cnf(c_0_147,plain,
r2(X1,esk11_2(X2,X1)),
c_0_90,
[final] ).
cnf(c_0_148,plain,
( r1(esk1_1(X1))
| r2(esk2_1(X1),esk3_1(X1)) ),
c_0_91,
[final] ).
cnf(c_0_149,plain,
( r2(X1,X2)
| ~ r2(X1,X2) ),
c_0_92,
[final] ).
cnf(c_0_150,plain,
( id(X1,X2)
| ~ id(X2,X1) ),
c_0_93,
[final] ).
cnf(c_0_151,plain,
( r1(X1)
| ~ id(X1,X2)
| ~ r1(X1) ),
c_0_94,
[final] ).
cnf(c_0_152,plain,
( r1(X2)
| ~ id(X1,X2)
| ~ r1(X1) ),
c_0_95,
[final] ).
cnf(c_0_153,plain,
( r1(X1)
| ~ id(X1,X2)
| ~ r1(X2) ),
c_0_96,
[final] ).
cnf(c_0_154,plain,
( r1(X2)
| ~ id(X1,X2)
| ~ r1(X2) ),
c_0_97,
[final] ).
cnf(c_0_155,plain,
( id(X1,esk20_0)
| ~ id(X1,esk20_0) ),
c_0_98,
[final] ).
cnf(c_0_156,plain,
( r1(esk1_1(X1))
| id(X1,esk3_1(X1)) ),
c_0_99,
[final] ).
cnf(c_0_157,plain,
id(esk4_1(X1),esk6_1(X1)),
c_0_100,
[final] ).
cnf(c_0_158,plain,
( r1(X1)
| ~ id(X1,esk20_0) ),
c_0_101,
[final] ).
cnf(c_0_159,plain,
id(esk7_1(X1),X1),
c_0_102,
[final] ).
cnf(c_0_160,plain,
( id(X1,esk20_0)
| ~ r1(X1) ),
c_0_103,
[final] ).
cnf(c_0_161,plain,
( r1(X1)
| ~ r1(X1) ),
c_0_104,
[final] ).
cnf(c_0_162,plain,
r1(esk8_1(X1)),
c_0_105,
[final] ).
cnf(c_0_163,plain,
r1(esk5_1(X1)),
c_0_106,
[final] ).
cnf(c_0_164,plain,
r1(esk6_1(X1)),
c_0_107,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_108_0,axiom,
( r3(X1,X3,X5)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_1,axiom,
( ~ id(X1,X2)
| r3(X1,X3,X5)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_2,axiom,
( ~ id(X3,X4)
| ~ id(X1,X2)
| r3(X1,X3,X5)
| ~ id(X5,X6)
| ~ r3(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_3,axiom,
( ~ id(X5,X6)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r3(X1,X3,X5)
| ~ r3(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_4,axiom,
( ~ r3(X1,X3,X5)
| ~ id(X5,X6)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r3(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_109_0,axiom,
( r3(X2,X4,X6)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_1,axiom,
( ~ id(X1,X2)
| r3(X2,X4,X6)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_2,axiom,
( ~ id(X3,X4)
| ~ id(X1,X2)
| r3(X2,X4,X6)
| ~ id(X5,X6)
| ~ r3(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_3,axiom,
( ~ id(X5,X6)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r3(X2,X4,X6)
| ~ r3(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_4,axiom,
( ~ r3(X1,X3,X5)
| ~ id(X5,X6)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r3(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_110_0,axiom,
( r3(X1,X3,X5)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_1,axiom,
( ~ id(X1,X2)
| r3(X1,X3,X5)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_2,axiom,
( ~ id(X3,X4)
| ~ id(X1,X2)
| r3(X1,X3,X5)
| ~ id(X5,X6)
| ~ r3(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_3,axiom,
( ~ id(X5,X6)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r3(X1,X3,X5)
| ~ r3(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_4,axiom,
( ~ r3(X2,X4,X6)
| ~ id(X5,X6)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r3(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_111_0,axiom,
( r3(X2,X4,X6)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_1,axiom,
( ~ id(X1,X2)
| r3(X2,X4,X6)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r3(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_2,axiom,
( ~ id(X3,X4)
| ~ id(X1,X2)
| r3(X2,X4,X6)
| ~ id(X5,X6)
| ~ r3(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_3,axiom,
( ~ id(X5,X6)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r3(X2,X4,X6)
| ~ r3(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_4,axiom,
( ~ r3(X2,X4,X6)
| ~ id(X5,X6)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r3(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_112_0,axiom,
( r4(X1,X3,X5)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_1,axiom,
( ~ id(X1,X2)
| r4(X1,X3,X5)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_2,axiom,
( ~ id(X3,X4)
| ~ id(X1,X2)
| r4(X1,X3,X5)
| ~ id(X5,X6)
| ~ r4(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_3,axiom,
( ~ id(X5,X6)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r4(X1,X3,X5)
| ~ r4(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_4,axiom,
( ~ r4(X1,X3,X5)
| ~ id(X5,X6)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r4(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_113_0,axiom,
( r4(X2,X4,X6)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_1,axiom,
( ~ id(X1,X2)
| r4(X2,X4,X6)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_2,axiom,
( ~ id(X3,X4)
| ~ id(X1,X2)
| r4(X2,X4,X6)
| ~ id(X5,X6)
| ~ r4(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_3,axiom,
( ~ id(X5,X6)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r4(X2,X4,X6)
| ~ r4(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_4,axiom,
( ~ r4(X1,X3,X5)
| ~ id(X5,X6)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r4(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_114_0,axiom,
( r4(X1,X3,X5)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_1,axiom,
( ~ id(X1,X2)
| r4(X1,X3,X5)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_2,axiom,
( ~ id(X3,X4)
| ~ id(X1,X2)
| r4(X1,X3,X5)
| ~ id(X5,X6)
| ~ r4(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_3,axiom,
( ~ id(X5,X6)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r4(X1,X3,X5)
| ~ r4(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_4,axiom,
( ~ r4(X2,X4,X6)
| ~ id(X5,X6)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r4(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_115_0,axiom,
( r4(X2,X4,X6)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_1,axiom,
( ~ id(X1,X2)
| r4(X2,X4,X6)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_2,axiom,
( ~ id(X3,X4)
| ~ id(X1,X2)
| r4(X2,X4,X6)
| ~ id(X5,X6)
| ~ r4(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_3,axiom,
( ~ id(X5,X6)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r4(X2,X4,X6)
| ~ r4(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_4,axiom,
( ~ r4(X2,X4,X6)
| ~ id(X5,X6)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r4(X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_116_0,axiom,
( r3(X1,X2,X3)
| ~ r3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_1,axiom,
( ~ r3(X1,X2,X3)
| r3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_117_0,axiom,
( r4(X1,X2,X3)
| ~ r4(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_1,axiom,
( ~ r4(X1,X2,X3)
| r4(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_118_0,axiom,
( id(X1,sk2_esk18_2(X2,X3))
| ~ r3(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_1,axiom,
( ~ r3(X2,X3,X1)
| id(X1,sk2_esk18_2(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_119_0,axiom,
( id(X1,sk2_esk17_2(X2,X3))
| ~ r4(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_1,axiom,
( ~ r4(X2,X3,X1)
| id(X1,sk2_esk17_2(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_120_0,axiom,
( r3(X1,X2,X3)
| ~ id(X3,sk2_esk18_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_1,axiom,
( ~ id(X3,sk2_esk18_2(X1,X2))
| r3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_121_0,axiom,
( r4(X1,X2,X3)
| ~ id(X3,sk2_esk17_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_1,axiom,
( ~ id(X3,sk2_esk17_2(X1,X2))
| r4(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_125_0,axiom,
( id(X1,sk2_esk18_2(X2,X3))
| ~ id(X1,sk2_esk18_2(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_1,axiom,
( ~ id(X1,sk2_esk18_2(X2,X3))
| id(X1,sk2_esk18_2(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_126_0,axiom,
( id(X1,sk2_esk17_2(X2,X3))
| ~ id(X1,sk2_esk17_2(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_1,axiom,
( ~ id(X1,sk2_esk17_2(X2,X3))
| id(X1,sk2_esk17_2(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_127_0,axiom,
( r2(X1,X3)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_1,axiom,
( ~ id(X1,X2)
| r2(X1,X3)
| ~ id(X3,X4)
| ~ r2(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_2,axiom,
( ~ id(X3,X4)
| ~ id(X1,X2)
| r2(X1,X3)
| ~ r2(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_3,axiom,
( ~ r2(X1,X3)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r2(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_128_0,axiom,
( r2(X2,X4)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_1,axiom,
( ~ id(X1,X2)
| r2(X2,X4)
| ~ id(X3,X4)
| ~ r2(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_2,axiom,
( ~ id(X3,X4)
| ~ id(X1,X2)
| r2(X2,X4)
| ~ r2(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_3,axiom,
( ~ r2(X1,X3)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r2(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_129_0,axiom,
( r2(X1,X3)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_1,axiom,
( ~ id(X1,X2)
| r2(X1,X3)
| ~ id(X3,X4)
| ~ r2(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_2,axiom,
( ~ id(X3,X4)
| ~ id(X1,X2)
| r2(X1,X3)
| ~ r2(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_3,axiom,
( ~ r2(X2,X4)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r2(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_130_0,axiom,
( r2(X2,X4)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ r2(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_1,axiom,
( ~ id(X1,X2)
| r2(X2,X4)
| ~ id(X3,X4)
| ~ r2(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_2,axiom,
( ~ id(X3,X4)
| ~ id(X1,X2)
| r2(X2,X4)
| ~ r2(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_3,axiom,
( ~ r2(X2,X4)
| ~ id(X3,X4)
| ~ id(X1,X2)
| r2(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_131_0,axiom,
( id(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X1,X4)
| ~ id(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_1,axiom,
( ~ r2(X2,X3)
| id(X1,X2)
| ~ r2(X1,X4)
| ~ id(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_2,axiom,
( ~ r2(X1,X4)
| ~ r2(X2,X3)
| id(X1,X2)
| ~ id(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_3,axiom,
( ~ id(X4,X3)
| ~ r2(X1,X4)
| ~ r2(X2,X3)
| id(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_139_0,axiom,
( id(X3,X2)
| ~ id(X1,X2)
| ~ id(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_1,axiom,
( ~ id(X1,X2)
| id(X3,X2)
| ~ id(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_2,axiom,
( ~ id(X3,X1)
| ~ id(X1,X2)
| id(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_140_0,axiom,
( id(X1,sk2_esk19_1(X2))
| ~ id(X1,sk2_esk19_1(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_1,axiom,
( ~ id(X1,sk2_esk19_1(X2))
| id(X1,sk2_esk19_1(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_141_0,axiom,
( ~ r2(X1,X2)
| ~ r1(X3)
| ~ id(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_1,axiom,
( ~ r1(X3)
| ~ r2(X1,X2)
| ~ id(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_2,axiom,
( ~ id(X3,X2)
| ~ r1(X3)
| ~ r2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_142_0,axiom,
( id(X1,sk2_esk1_1(X1))
| r2(sk2_esk2_1(X1),sk2_esk3_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_1,axiom,
( r2(sk2_esk2_1(X1),sk2_esk3_1(X1))
| id(X1,sk2_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_143_0,axiom,
( r2(X1,X2)
| ~ id(X2,sk2_esk19_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_1,axiom,
( ~ id(X2,sk2_esk19_1(X1))
| r2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_144_0,axiom,
( id(X1,sk2_esk19_1(X2))
| ~ r2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_1,axiom,
( ~ r2(X2,X1)
| id(X1,sk2_esk19_1(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_145_0,axiom,
( id(X1,sk2_esk1_1(X1))
| id(X1,sk2_esk3_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_1,axiom,
( id(X1,sk2_esk3_1(X1))
| id(X1,sk2_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_148_0,axiom,
( r1(sk2_esk1_1(X1))
| r2(sk2_esk2_1(X1),sk2_esk3_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_1,axiom,
( r2(sk2_esk2_1(X1),sk2_esk3_1(X1))
| r1(sk2_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_149_0,axiom,
( r2(X1,X2)
| ~ r2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_1,axiom,
( ~ r2(X1,X2)
| r2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_150_0,axiom,
( id(X1,X2)
| ~ id(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_150_1,axiom,
( ~ id(X2,X1)
| id(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_151_0,axiom,
( r1(X1)
| ~ id(X1,X2)
| ~ r1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_151_1,axiom,
( ~ id(X1,X2)
| r1(X1)
| ~ r1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_151_2,axiom,
( ~ r1(X1)
| ~ id(X1,X2)
| r1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_152_0,axiom,
( r1(X2)
| ~ id(X1,X2)
| ~ r1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_1,axiom,
( ~ id(X1,X2)
| r1(X2)
| ~ r1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_2,axiom,
( ~ r1(X1)
| ~ id(X1,X2)
| r1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_153_0,axiom,
( r1(X1)
| ~ id(X1,X2)
| ~ r1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_1,axiom,
( ~ id(X1,X2)
| r1(X1)
| ~ r1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_2,axiom,
( ~ r1(X2)
| ~ id(X1,X2)
| r1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_154_0,axiom,
( r1(X2)
| ~ id(X1,X2)
| ~ r1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_154_1,axiom,
( ~ id(X1,X2)
| r1(X2)
| ~ r1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_154_2,axiom,
( ~ r1(X2)
| ~ id(X1,X2)
| r1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_155_0,axiom,
( id(X1,sk2_esk20_0)
| ~ id(X1,sk2_esk20_0) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_155_1,axiom,
( ~ id(X1,sk2_esk20_0)
| id(X1,sk2_esk20_0) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_156_0,axiom,
( r1(sk2_esk1_1(X1))
| id(X1,sk2_esk3_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_1,axiom,
( id(X1,sk2_esk3_1(X1))
| r1(sk2_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_158_0,axiom,
( r1(X1)
| ~ id(X1,sk2_esk20_0) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_1,axiom,
( ~ id(X1,sk2_esk20_0)
| r1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_160_0,axiom,
( id(X1,sk2_esk20_0)
| ~ r1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_1,axiom,
( ~ r1(X1)
| id(X1,sk2_esk20_0) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_161_0,axiom,
( r1(X1)
| ~ r1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_1,axiom,
( ~ r1(X1)
| r1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_122_0,axiom,
r3(X1,sk2_esk15_2(X1,X2),sk2_esk14_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_123_0,axiom,
r4(X1,sk2_esk11_2(X1,X2),sk2_esk10_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_124_0,axiom,
r3(sk2_esk12_2(X1,X2),X1,sk2_esk9_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_132_0,axiom,
r3(X1,X2,sk2_esk16_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_133_0,axiom,
r4(X1,X2,sk2_esk12_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_134_0,axiom,
r3(X1,sk2_esk8_1(X1),sk2_esk7_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_135_0,axiom,
r4(X1,sk2_esk5_1(X1),sk2_esk4_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_136_0,axiom,
id(sk2_esk14_2(X1,X2),sk2_esk13_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_137_0,axiom,
r2(sk2_esk16_2(X1,X2),sk2_esk13_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_138_0,axiom,
id(sk2_esk10_2(X1,X2),sk2_esk9_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_146_0,axiom,
r2(X1,sk2_esk15_2(X2,X1)),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_147_0,axiom,
r2(X1,sk2_esk11_2(X2,X1)),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_157_0,axiom,
id(sk2_esk4_1(X1),sk2_esk6_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_159_0,axiom,
id(sk2_esk7_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_162_0,axiom,
r1(sk2_esk8_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_163_0,axiom,
r1(sk2_esk5_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_164_0,axiom,
r1(sk2_esk6_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_006,conjecture,
? [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ r1(X4)
| ~ r2(X4,X3) )
| ~ r2(X3,X2) )
| ~ id(X1,X2) )
& ! [X5] :
( ~ id(X1,X5)
| ~ r1(X5) ) ),
file('<stdin>',nonzerononetwoexistid) ).
fof(c_0_1_007,negated_conjecture,
~ ? [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ r1(X4)
| ~ r2(X4,X3) )
| ~ r2(X3,X2) )
| ~ id(X1,X2) )
& ! [X5] :
( ~ id(X1,X5)
| ~ r1(X5) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_008,negated_conjecture,
! [X6] :
( ( id(X6,esk4_1(X6))
| r1(esk3_1(X6)) )
& ( r1(esk4_1(X6))
| r1(esk3_1(X6)) )
& ( id(X6,esk4_1(X6))
| r2(esk3_1(X6),esk2_1(X6)) )
& ( r1(esk4_1(X6))
| r2(esk3_1(X6),esk2_1(X6)) )
& ( id(X6,esk4_1(X6))
| r2(esk2_1(X6),esk1_1(X6)) )
& ( r1(esk4_1(X6))
| r2(esk2_1(X6),esk1_1(X6)) )
& ( id(X6,esk4_1(X6))
| id(X6,esk1_1(X6)) )
& ( r1(esk4_1(X6))
| id(X6,esk1_1(X6)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3_009,negated_conjecture,
( r2(esk3_1(X1),esk2_1(X1))
| id(X1,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_010,negated_conjecture,
( r2(esk2_1(X1),esk1_1(X1))
| id(X1,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_011,negated_conjecture,
( id(X1,esk1_1(X1))
| id(X1,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_012,negated_conjecture,
( r2(esk3_1(X1),esk2_1(X1))
| r1(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_013,negated_conjecture,
( r2(esk2_1(X1),esk1_1(X1))
| r1(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_014,negated_conjecture,
( r1(esk3_1(X1))
| id(X1,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9_015,negated_conjecture,
( id(X1,esk1_1(X1))
| r1(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10_016,negated_conjecture,
( r1(esk3_1(X1))
| r1(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11_017,negated_conjecture,
( r2(esk3_1(X1),esk2_1(X1))
| id(X1,esk4_1(X1)) ),
c_0_3,
[final] ).
cnf(c_0_12_018,negated_conjecture,
( r2(esk2_1(X1),esk1_1(X1))
| id(X1,esk4_1(X1)) ),
c_0_4,
[final] ).
cnf(c_0_13_019,negated_conjecture,
( id(X1,esk1_1(X1))
| id(X1,esk4_1(X1)) ),
c_0_5,
[final] ).
cnf(c_0_14_020,negated_conjecture,
( r2(esk3_1(X1),esk2_1(X1))
| r1(esk4_1(X1)) ),
c_0_6,
[final] ).
cnf(c_0_15_021,negated_conjecture,
( r2(esk2_1(X1),esk1_1(X1))
| r1(esk4_1(X1)) ),
c_0_7,
[final] ).
cnf(c_0_16_022,negated_conjecture,
( r1(esk3_1(X1))
| id(X1,esk4_1(X1)) ),
c_0_8,
[final] ).
cnf(c_0_17_023,negated_conjecture,
( id(X1,esk1_1(X1))
| r1(esk4_1(X1)) ),
c_0_9,
[final] ).
cnf(c_0_18_024,negated_conjecture,
( r1(esk3_1(X1))
| r1(esk4_1(X1)) ),
c_0_10,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_105,plain,
( ~ r1(X0)
| r1(X1)
| ~ id(X1,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_153_1) ).
cnf(c_1489484,plain,
( ~ r1(X0)
| r1(X1)
| ~ id(X1,X0) ),
inference(copy,[status(esa)],[c_105]) ).
cnf(c_1521335,plain,
( ~ id(sk2_esk4_1(X0),X1)
| r1(sk2_esk4_1(X0))
| ~ r1(X1) ),
inference(instantiation,[status(thm)],[c_1489484]) ).
cnf(c_1749799,plain,
( ~ id(sk2_esk4_1(X0),sk2_esk6_1(X0))
| r1(sk2_esk4_1(X0))
| ~ r1(sk2_esk6_1(X0)) ),
inference(instantiation,[status(thm)],[c_1521335]) ).
cnf(c_1749800,plain,
( ~ id(sk2_esk4_1(sk2_esk20_0),sk2_esk6_1(sk2_esk20_0))
| r1(sk2_esk4_1(sk2_esk20_0))
| ~ r1(sk2_esk6_1(sk2_esk20_0)) ),
inference(instantiation,[status(thm)],[c_1749799]) ).
cnf(c_74,plain,
( ~ id(X0,X1)
| id(X2,X3)
| ~ r2(X3,X1)
| ~ r2(X2,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_131_2) ).
cnf(c_1489453,plain,
( ~ id(X0,X1)
| id(X2,X3)
| ~ r2(X3,X1)
| ~ r2(X2,X0) ),
inference(copy,[status(esa)],[c_74]) ).
cnf(c_1518947,plain,
( id(sk2_esk4_1(X0),X1)
| ~ id(X2,X3)
| ~ r2(sk2_esk4_1(X0),X2)
| ~ r2(X1,X3) ),
inference(instantiation,[status(thm)],[c_1489453]) ).
cnf(c_1602487,plain,
( id(sk2_esk4_1(X0),sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(X1))))
| ~ id(X2,sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(X1))))
| ~ r2(sk2_esk4_1(X0),X2)
| ~ r2(sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(X1))),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(X1)))) ),
inference(instantiation,[status(thm)],[c_1518947]) ).
cnf(c_1680203,plain,
( id(sk2_esk4_1(X0),sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(X1))))
| ~ id(sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(X2))),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(X1))))
| ~ r2(sk2_esk4_1(X0),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(X2))))
| ~ r2(sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(X1))),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(X1)))) ),
inference(instantiation,[status(thm)],[c_1602487]) ).
cnf(c_1680204,plain,
( id(sk2_esk4_1(sk2_esk20_0),sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))))
| ~ id(sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))))
| ~ r2(sk2_esk4_1(sk2_esk20_0),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))))
| ~ r2(sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)))) ),
inference(instantiation,[status(thm)],[c_1680203]) ).
cnf(c_62,plain,
( ~ r2(X0,X1)
| r2(X2,X3)
| ~ id(X0,X2)
| ~ id(X1,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_128_2) ).
cnf(c_1489441,plain,
( ~ r2(X0,X1)
| r2(X2,X3)
| ~ id(X0,X2)
| ~ id(X1,X3) ),
inference(copy,[status(esa)],[c_62]) ).
cnf(c_1489655,plain,
( ~ id(sk2_esk7_1(sk2_esk19_1(X0)),X1)
| ~ id(X0,X2)
| ~ r2(X0,sk2_esk7_1(sk2_esk19_1(X0)))
| r2(X2,X1) ),
inference(instantiation,[status(thm)],[c_1489441]) ).
cnf(c_1490459,plain,
( ~ id(sk2_esk7_1(sk2_esk19_1(X0)),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(X0))))
| ~ id(X0,X1)
| ~ r2(X0,sk2_esk7_1(sk2_esk19_1(X0)))
| r2(X1,sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(X0)))) ),
inference(instantiation,[status(thm)],[c_1489655]) ).
cnf(c_1680086,plain,
( ~ id(sk2_esk7_1(sk2_esk19_1(X0)),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(X0))))
| ~ id(X0,sk2_esk4_1(X1))
| r2(sk2_esk4_1(X1),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(X0))))
| ~ r2(X0,sk2_esk7_1(sk2_esk19_1(X0))) ),
inference(instantiation,[status(thm)],[c_1490459]) ).
cnf(c_1680088,plain,
( ~ id(sk2_esk20_0,sk2_esk4_1(sk2_esk20_0))
| ~ id(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))))
| ~ r2(sk2_esk20_0,sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)))
| r2(sk2_esk4_1(sk2_esk20_0),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)))) ),
inference(instantiation,[status(thm)],[c_1680086]) ).
cnf(c_117,plain,
( id(X0,sk2_esk20_0)
| ~ r1(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_160_1) ).
cnf(c_968268,plain,
( id(X0,sk2_esk20_0)
| ~ r1(X0) ),
inference(copy,[status(esa)],[c_117]) ).
cnf(c_1103761,plain,
( id(sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(X0))),sk2_esk20_0)
| ~ r1(sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(X0)))) ),
inference(instantiation,[status(thm)],[c_968268]) ).
cnf(c_1103763,plain,
( id(sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))),sk2_esk20_0)
| ~ r1(sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)))) ),
inference(instantiation,[status(thm)],[c_1103761]) ).
cnf(c_77,plain,
( ~ id(X0,X1)
| id(X0,X2)
| ~ id(X1,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_139_1) ).
cnf(c_968228,plain,
( ~ id(X0,X1)
| id(X0,X2)
| ~ id(X1,X2) ),
inference(copy,[status(esa)],[c_77]) ).
cnf(c_1007766,plain,
( ~ id(sk2_esk7_1(sk2_esk19_1(X0)),X1)
| id(sk2_esk7_1(sk2_esk19_1(X0)),X2)
| ~ id(X1,X2) ),
inference(instantiation,[status(thm)],[c_968228]) ).
cnf(c_1094649,plain,
( ~ id(sk2_esk7_1(sk2_esk19_1(X0)),sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(X0))))
| id(sk2_esk7_1(sk2_esk19_1(X0)),X1)
| ~ id(sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(X0))),X1) ),
inference(instantiation,[status(thm)],[c_1007766]) ).
cnf(c_1094650,plain,
( id(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)),sk2_esk20_0)
| ~ id(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)),sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))))
| ~ id(sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))),sk2_esk20_0) ),
inference(instantiation,[status(thm)],[c_1094649]) ).
cnf(c_83,plain,
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_141_2) ).
cnf(c_323,plain,
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(copy,[status(esa)],[c_83]) ).
cnf(c_247562,plain,
( ~ id(X0,sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(X1))))
| ~ r2(sk3_esk3_1(sk2_esk7_1(sk2_esk19_1(X1))),sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(X1))))
| ~ r1(X0) ),
inference(instantiation,[status(thm)],[c_323]) ).
cnf(c_894143,plain,
( ~ id(sk2_esk4_1(X0),sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(X1))))
| ~ r2(sk3_esk3_1(sk2_esk7_1(sk2_esk19_1(X1))),sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(X1))))
| ~ r1(sk2_esk4_1(X0)) ),
inference(instantiation,[status(thm)],[c_247562]) ).
cnf(c_894145,plain,
( ~ id(sk2_esk4_1(sk2_esk20_0),sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))))
| ~ r2(sk3_esk3_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))),sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))))
| ~ r1(sk2_esk4_1(sk2_esk20_0)) ),
inference(instantiation,[status(thm)],[c_894143]) ).
cnf(c_97,plain,
( id(X0,X1)
| ~ id(X1,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_150_1) ).
cnf(c_337,plain,
( id(X0,X1)
| ~ id(X1,X0) ),
inference(copy,[status(esa)],[c_97]) ).
cnf(c_803115,plain,
( ~ id(sk2_esk4_1(X0),X1)
| id(X1,sk2_esk4_1(X0)) ),
inference(instantiation,[status(thm)],[c_337]) ).
cnf(c_803116,plain,
( id(sk2_esk20_0,sk2_esk4_1(sk2_esk20_0))
| ~ id(sk2_esk4_1(sk2_esk20_0),sk2_esk20_0) ),
inference(instantiation,[status(thm)],[c_803115]) ).
cnf(c_357,plain,
( id(X0,sk2_esk20_0)
| ~ r1(X0) ),
inference(copy,[status(esa)],[c_117]) ).
cnf(c_595002,plain,
( id(sk2_esk4_1(X0),sk2_esk20_0)
| ~ r1(sk2_esk4_1(X0)) ),
inference(instantiation,[status(thm)],[c_357]) ).
cnf(c_595004,plain,
( id(sk2_esk4_1(sk2_esk20_0),sk2_esk20_0)
| ~ r1(sk2_esk4_1(sk2_esk20_0)) ),
inference(instantiation,[status(thm)],[c_595002]) ).
cnf(c_137,plain,
id(X0,X0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_4_0) ).
cnf(c_377,plain,
id(X0,X0),
inference(copy,[status(esa)],[c_137]) ).
cnf(c_248859,plain,
id(sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(X0))),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(X0)))),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_248861,plain,
id(sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)))),
inference(instantiation,[status(thm)],[c_248859]) ).
cnf(c_142,negated_conjecture,
( r2(sk3_esk2_1(X0),sk3_esk1_1(X0))
| r1(sk3_esk4_1(X0)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_15) ).
cnf(c_192,negated_conjecture,
( r2(sk3_esk2_1(X0),sk3_esk1_1(X0))
| r1(sk3_esk4_1(X0)) ),
inference(copy,[status(esa)],[c_142]) ).
cnf(c_220,negated_conjecture,
( r2(sk3_esk2_1(X0),sk3_esk1_1(X0))
| r1(sk3_esk4_1(X0)) ),
inference(copy,[status(esa)],[c_192]) ).
cnf(c_227,negated_conjecture,
( r2(sk3_esk2_1(X0),sk3_esk1_1(X0))
| r1(sk3_esk4_1(X0)) ),
inference(copy,[status(esa)],[c_220]) ).
cnf(c_238,negated_conjecture,
( r2(sk3_esk2_1(X0),sk3_esk1_1(X0))
| r1(sk3_esk4_1(X0)) ),
inference(copy,[status(esa)],[c_227]) ).
cnf(c_384,negated_conjecture,
( r2(sk3_esk2_1(X0),sk3_esk1_1(X0))
| r1(sk3_esk4_1(X0)) ),
inference(copy,[status(esa)],[c_238]) ).
cnf(c_247276,plain,
( r2(sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(X0))),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(X0))))
| r1(sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(X0)))) ),
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_247283,plain,
( r2(sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))))
| r1(sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)))) ),
inference(instantiation,[status(thm)],[c_247276]) ).
cnf(c_141,negated_conjecture,
( r2(sk3_esk3_1(X0),sk3_esk2_1(X0))
| r1(sk3_esk4_1(X0)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_14) ).
cnf(c_190,negated_conjecture,
( r2(sk3_esk3_1(X0),sk3_esk2_1(X0))
| r1(sk3_esk4_1(X0)) ),
inference(copy,[status(esa)],[c_141]) ).
cnf(c_219,negated_conjecture,
( r2(sk3_esk3_1(X0),sk3_esk2_1(X0))
| r1(sk3_esk4_1(X0)) ),
inference(copy,[status(esa)],[c_190]) ).
cnf(c_228,negated_conjecture,
( r2(sk3_esk3_1(X0),sk3_esk2_1(X0))
| r1(sk3_esk4_1(X0)) ),
inference(copy,[status(esa)],[c_219]) ).
cnf(c_237,negated_conjecture,
( r2(sk3_esk3_1(X0),sk3_esk2_1(X0))
| r1(sk3_esk4_1(X0)) ),
inference(copy,[status(esa)],[c_228]) ).
cnf(c_383,negated_conjecture,
( r2(sk3_esk3_1(X0),sk3_esk2_1(X0))
| r1(sk3_esk4_1(X0)) ),
inference(copy,[status(esa)],[c_237]) ).
cnf(c_247277,plain,
( r2(sk3_esk3_1(sk2_esk7_1(sk2_esk19_1(X0))),sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(X0))))
| r1(sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(X0)))) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_247282,plain,
( r2(sk3_esk3_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))),sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))))
| r1(sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)))) ),
inference(instantiation,[status(thm)],[c_247277]) ).
cnf(c_144,negated_conjecture,
( id(X0,sk3_esk1_1(X0))
| r1(sk3_esk4_1(X0)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_17) ).
cnf(c_196,negated_conjecture,
( id(X0,sk3_esk1_1(X0))
| r1(sk3_esk4_1(X0)) ),
inference(copy,[status(esa)],[c_144]) ).
cnf(c_222,negated_conjecture,
( id(X0,sk3_esk1_1(X0))
| r1(sk3_esk4_1(X0)) ),
inference(copy,[status(esa)],[c_196]) ).
cnf(c_225,negated_conjecture,
( id(X0,sk3_esk1_1(X0))
| r1(sk3_esk4_1(X0)) ),
inference(copy,[status(esa)],[c_222]) ).
cnf(c_232,negated_conjecture,
( id(X0,sk3_esk1_1(X0))
| r1(sk3_esk4_1(X0)) ),
inference(copy,[status(esa)],[c_225]) ).
cnf(c_378,negated_conjecture,
( id(X0,sk3_esk1_1(X0))
| r1(sk3_esk4_1(X0)) ),
inference(copy,[status(esa)],[c_232]) ).
cnf(c_247278,plain,
( id(sk2_esk7_1(sk2_esk19_1(X0)),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(X0))))
| r1(sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(X0)))) ),
inference(instantiation,[status(thm)],[c_378]) ).
cnf(c_247281,plain,
( id(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))))
| r1(sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)))) ),
inference(instantiation,[status(thm)],[c_247278]) ).
cnf(c_140,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| id(X0,sk3_esk1_1(X0)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_13) ).
cnf(c_188,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| id(X0,sk3_esk1_1(X0)) ),
inference(copy,[status(esa)],[c_140]) ).
cnf(c_218,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| id(X0,sk3_esk1_1(X0)) ),
inference(copy,[status(esa)],[c_188]) ).
cnf(c_229,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| id(X0,sk3_esk1_1(X0)) ),
inference(copy,[status(esa)],[c_218]) ).
cnf(c_236,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| id(X0,sk3_esk1_1(X0)) ),
inference(copy,[status(esa)],[c_229]) ).
cnf(c_382,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| id(X0,sk3_esk1_1(X0)) ),
inference(copy,[status(esa)],[c_236]) ).
cnf(c_89202,plain,
( id(sk2_esk7_1(sk2_esk19_1(X0)),sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(X0))))
| id(sk2_esk7_1(sk2_esk19_1(X0)),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(X0)))) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_89210,plain,
( id(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)),sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))))
| id(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)))) ),
inference(instantiation,[status(thm)],[c_89202]) ).
cnf(c_139,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| r2(sk3_esk2_1(X0),sk3_esk1_1(X0)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_12) ).
cnf(c_186,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| r2(sk3_esk2_1(X0),sk3_esk1_1(X0)) ),
inference(copy,[status(esa)],[c_139]) ).
cnf(c_217,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| r2(sk3_esk2_1(X0),sk3_esk1_1(X0)) ),
inference(copy,[status(esa)],[c_186]) ).
cnf(c_230,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| r2(sk3_esk2_1(X0),sk3_esk1_1(X0)) ),
inference(copy,[status(esa)],[c_217]) ).
cnf(c_235,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| r2(sk3_esk2_1(X0),sk3_esk1_1(X0)) ),
inference(copy,[status(esa)],[c_230]) ).
cnf(c_381,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| r2(sk3_esk2_1(X0),sk3_esk1_1(X0)) ),
inference(copy,[status(esa)],[c_235]) ).
cnf(c_89203,plain,
( id(sk2_esk7_1(sk2_esk19_1(X0)),sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(X0))))
| r2(sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(X0))),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(X0)))) ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_89209,plain,
( id(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)),sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))))
| r2(sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))),sk3_esk1_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)))) ),
inference(instantiation,[status(thm)],[c_89203]) ).
cnf(c_138,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| r2(sk3_esk3_1(X0),sk3_esk2_1(X0)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_11) ).
cnf(c_184,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| r2(sk3_esk3_1(X0),sk3_esk2_1(X0)) ),
inference(copy,[status(esa)],[c_138]) ).
cnf(c_216,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| r2(sk3_esk3_1(X0),sk3_esk2_1(X0)) ),
inference(copy,[status(esa)],[c_184]) ).
cnf(c_231,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| r2(sk3_esk3_1(X0),sk3_esk2_1(X0)) ),
inference(copy,[status(esa)],[c_216]) ).
cnf(c_234,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| r2(sk3_esk3_1(X0),sk3_esk2_1(X0)) ),
inference(copy,[status(esa)],[c_231]) ).
cnf(c_380,negated_conjecture,
( id(X0,sk3_esk4_1(X0))
| r2(sk3_esk3_1(X0),sk3_esk2_1(X0)) ),
inference(copy,[status(esa)],[c_234]) ).
cnf(c_89204,plain,
( id(sk2_esk7_1(sk2_esk19_1(X0)),sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(X0))))
| r2(sk3_esk3_1(sk2_esk7_1(sk2_esk19_1(X0))),sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(X0)))) ),
inference(instantiation,[status(thm)],[c_380]) ).
cnf(c_89208,plain,
( id(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)),sk3_esk4_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))))
| r2(sk3_esk3_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))),sk3_esk2_1(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)))) ),
inference(instantiation,[status(thm)],[c_89204]) ).
cnf(c_302,plain,
( ~ r2(X0,X1)
| r2(X2,X3)
| ~ id(X0,X2)
| ~ id(X1,X3) ),
inference(copy,[status(esa)],[c_62]) ).
cnf(c_88428,plain,
( ~ id(sk2_esk7_1(sk2_esk19_1(X0)),X1)
| ~ id(X0,X2)
| ~ r2(X0,sk2_esk7_1(sk2_esk19_1(X0)))
| r2(X2,X1) ),
inference(instantiation,[status(thm)],[c_302]) ).
cnf(c_88434,plain,
( ~ id(sk2_esk20_0,sk2_esk20_0)
| ~ id(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)),sk2_esk20_0)
| r2(sk2_esk20_0,sk2_esk20_0)
| ~ r2(sk2_esk20_0,sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))) ),
inference(instantiation,[status(thm)],[c_88428]) ).
cnf(c_133,plain,
id(sk2_esk7_1(X0),X0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_159_0) ).
cnf(c_373,plain,
id(sk2_esk7_1(X0),X0),
inference(copy,[status(esa)],[c_133]) ).
cnf(c_88160,plain,
id(sk2_esk7_1(sk2_esk19_1(X0)),sk2_esk19_1(X0)),
inference(instantiation,[status(thm)],[c_373]) ).
cnf(c_88162,plain,
id(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)),sk2_esk19_1(sk2_esk20_0)),
inference(instantiation,[status(thm)],[c_88160]) ).
cnf(c_86,plain,
( ~ id(X0,sk2_esk19_1(X1))
| r2(X1,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_143_0) ).
cnf(c_326,plain,
( ~ id(X0,sk2_esk19_1(X1))
| r2(X1,X0) ),
inference(copy,[status(esa)],[c_86]) ).
cnf(c_88159,plain,
( ~ id(sk2_esk7_1(sk2_esk19_1(X0)),sk2_esk19_1(X0))
| r2(X0,sk2_esk7_1(sk2_esk19_1(X0))) ),
inference(instantiation,[status(thm)],[c_326]) ).
cnf(c_88161,plain,
( ~ id(sk2_esk7_1(sk2_esk19_1(sk2_esk20_0)),sk2_esk19_1(sk2_esk20_0))
| r2(sk2_esk20_0,sk2_esk7_1(sk2_esk19_1(sk2_esk20_0))) ),
inference(instantiation,[status(thm)],[c_88159]) ).
cnf(c_179,plain,
( ~ id(sk2_esk20_0,sk2_esk20_0)
| ~ r2(sk2_esk20_0,sk2_esk20_0)
| ~ r1(sk2_esk20_0) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_115,plain,
( r1(X0)
| ~ id(X0,sk2_esk20_0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_158_1) ).
cnf(c_172,plain,
( ~ id(sk2_esk20_0,sk2_esk20_0)
| r1(sk2_esk20_0) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_132,plain,
id(sk2_esk4_1(X0),sk2_esk6_1(X0)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_157_0) ).
cnf(c_159,plain,
id(sk2_esk4_1(sk2_esk20_0),sk2_esk6_1(sk2_esk20_0)),
inference(instantiation,[status(thm)],[c_132]) ).
cnf(c_136,plain,
r1(sk2_esk6_1(X0)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p',c_0_164_0) ).
cnf(c_155,plain,
r1(sk2_esk6_1(sk2_esk20_0)),
inference(instantiation,[status(thm)],[c_136]) ).
cnf(c_154,plain,
id(sk2_esk20_0,sk2_esk20_0),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_1749800,c_1680204,c_1680088,c_1103763,c_1094650,c_894145,c_803116,c_595004,c_248861,c_247283,c_247282,c_247281,c_89210,c_89209,c_89208,c_88434,c_88162,c_88161,c_179,c_172,c_159,c_155,c_154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUN066+1 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.13 % Command : iprover_modulo %s %d
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 2 07:07:59 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running in mono-core mode
% 0.21/0.42 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.42 % FOF problem with conjecture
% 0.21/0.42 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_91b494.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_7a0f5b.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_daed11 | grep -v "SZS"
% 0.21/0.44
% 0.21/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ iProver source info
% 0.21/0.44
% 0.21/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.44 % git: non_committed_changes: true
% 0.21/0.44 % git: last_make_outside_of_git: true
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ Input Options
% 0.21/0.44
% 0.21/0.44 % --out_options all
% 0.21/0.44 % --tptp_safe_out true
% 0.21/0.44 % --problem_path ""
% 0.21/0.44 % --include_path ""
% 0.21/0.44 % --clausifier .//eprover
% 0.21/0.44 % --clausifier_options --tstp-format
% 0.21/0.44 % --stdin false
% 0.21/0.44 % --dbg_backtrace false
% 0.21/0.44 % --dbg_dump_prop_clauses false
% 0.21/0.44 % --dbg_dump_prop_clauses_file -
% 0.21/0.44 % --dbg_out_stat false
% 0.21/0.44
% 0.21/0.44 % ------ General Options
% 0.21/0.44
% 0.21/0.44 % --fof false
% 0.21/0.44 % --time_out_real 150.
% 0.21/0.44 % --time_out_prep_mult 0.2
% 0.21/0.44 % --time_out_virtual -1.
% 0.21/0.44 % --schedule none
% 0.21/0.44 % --ground_splitting input
% 0.21/0.44 % --splitting_nvd 16
% 0.21/0.44 % --non_eq_to_eq false
% 0.21/0.44 % --prep_gs_sim true
% 0.21/0.44 % --prep_unflatten false
% 0.21/0.44 % --prep_res_sim true
% 0.21/0.44 % --prep_upred true
% 0.21/0.44 % --res_sim_input true
% 0.21/0.44 % --clause_weak_htbl true
% 0.21/0.44 % --gc_record_bc_elim false
% 0.21/0.44 % --symbol_type_check false
% 0.21/0.44 % --clausify_out false
% 0.21/0.44 % --large_theory_mode false
% 0.21/0.44 % --prep_sem_filter none
% 0.21/0.44 % --prep_sem_filter_out false
% 0.21/0.44 % --preprocessed_out false
% 0.21/0.44 % --sub_typing false
% 0.21/0.44 % --brand_transform false
% 0.21/0.44 % --pure_diseq_elim true
% 0.21/0.44 % --min_unsat_core false
% 0.21/0.44 % --pred_elim true
% 0.21/0.44 % --add_important_lit false
% 0.21/0.44 % --soft_assumptions false
% 0.21/0.44 % --reset_solvers false
% 0.21/0.44 % --bc_imp_inh []
% 0.21/0.44 % --conj_cone_tolerance 1.5
% 0.21/0.44 % --prolific_symb_bound 500
% 0.21/0.44 % --lt_threshold 2000
% 0.21/0.44
% 0.21/0.44 % ------ SAT Options
% 0.21/0.44
% 0.21/0.44 % --sat_mode false
% 0.21/0.44 % --sat_fm_restart_options ""
% 0.21/0.44 % --sat_gr_def false
% 0.21/0.44 % --sat_epr_types true
% 0.21/0.44 % --sat_non_cyclic_types false
% 0.21/0.44 % --sat_finite_models false
% 0.21/0.44 % --sat_fm_lemmas false
% 0.21/0.44 % --sat_fm_prep false
% 0.21/0.44 % --sat_fm_uc_incr true
% 0.21/0.44 % --sat_out_model small
% 0.21/0.44 % --sat_out_clauses false
% 0.21/0.44
% 0.21/0.44 % ------ QBF Options
% 0.21/0.44
% 0.21/0.44 % --qbf_mode false
% 0.21/0.44 % --qbf_elim_univ true
% 0.21/0.44 % --qbf_sk_in true
% 0.21/0.44 % --qbf_pred_elim true
% 0.21/0.44 % --qbf_split 32
% 0.21/0.44
% 0.21/0.44 % ------ BMC1 Options
% 0.21/0.44
% 0.21/0.44 % --bmc1_incremental false
% 0.21/0.44 % --bmc1_axioms reachable_all
% 0.21/0.44 % --bmc1_min_bound 0
% 0.21/0.44 % --bmc1_max_bound -1
% 0.21/0.44 % --bmc1_max_bound_default -1
% 0.21/0.44 % --bmc1_symbol_reachability true
% 0.21/0.44 % --bmc1_property_lemmas false
% 0.21/0.44 % --bmc1_k_induction false
% 0.21/0.44 % --bmc1_non_equiv_states false
% 0.21/0.44 % --bmc1_deadlock false
% 0.21/0.44 % --bmc1_ucm false
% 0.21/0.44 % --bmc1_add_unsat_core none
% 0.21/0.44 % --bmc1_unsat_core_children false
% 0.21/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.44 % --bmc1_out_stat full
% 0.21/0.44 % --bmc1_ground_init false
% 0.21/0.44 % --bmc1_pre_inst_next_state false
% 0.21/0.44 % --bmc1_pre_inst_state false
% 0.21/0.44 % --bmc1_pre_inst_reach_state false
% 0.21/0.44 % --bmc1_out_unsat_core false
% 0.21/0.44 % --bmc1_aig_witness_out false
% 0.21/0.44 % --bmc1_verbose false
% 0.21/0.44 % --bmc1_dump_clauses_tptp false
% 0.21/0.46 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.46 % --bmc1_dump_file -
% 0.21/0.46 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.46 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.46 % --bmc1_ucm_extend_mode 1
% 0.21/0.46 % --bmc1_ucm_init_mode 2
% 0.21/0.46 % --bmc1_ucm_cone_mode none
% 0.21/0.46 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.46 % --bmc1_ucm_relax_model 4
% 0.21/0.46 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.46 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.46 % --bmc1_ucm_layered_model none
% 0.21/0.46 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.46
% 0.21/0.46 % ------ AIG Options
% 0.21/0.46
% 0.21/0.46 % --aig_mode false
% 0.21/0.46
% 0.21/0.46 % ------ Instantiation Options
% 0.21/0.46
% 0.21/0.46 % --instantiation_flag true
% 0.21/0.46 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.46 % --inst_solver_per_active 750
% 0.21/0.46 % --inst_solver_calls_frac 0.5
% 0.21/0.46 % --inst_passive_queue_type priority_queues
% 0.21/0.46 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.46 % --inst_passive_queues_freq [25;2]
% 0.21/0.46 % --inst_dismatching true
% 0.21/0.46 % --inst_eager_unprocessed_to_passive true
% 0.21/0.46 % --inst_prop_sim_given true
% 0.21/0.46 % --inst_prop_sim_new false
% 0.21/0.46 % --inst_orphan_elimination true
% 0.21/0.46 % --inst_learning_loop_flag true
% 0.21/0.46 % --inst_learning_start 3000
% 0.21/0.46 % --inst_learning_factor 2
% 0.21/0.46 % --inst_start_prop_sim_after_learn 3
% 0.21/0.46 % --inst_sel_renew solver
% 0.21/0.46 % --inst_lit_activity_flag true
% 0.21/0.46 % --inst_out_proof true
% 0.21/0.46
% 0.21/0.46 % ------ Resolution Options
% 0.21/0.46
% 0.21/0.46 % --resolution_flag true
% 0.21/0.46 % --res_lit_sel kbo_max
% 0.21/0.46 % --res_to_prop_solver none
% 0.21/0.46 % --res_prop_simpl_new false
% 0.21/0.46 % --res_prop_simpl_given false
% 0.21/0.46 % --res_passive_queue_type priority_queues
% 0.21/0.46 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.46 % --res_passive_queues_freq [15;5]
% 0.21/0.46 % --res_forward_subs full
% 0.21/0.46 % --res_backward_subs full
% 0.21/0.46 % --res_forward_subs_resolution true
% 0.21/0.46 % --res_backward_subs_resolution true
% 0.21/0.46 % --res_orphan_elimination false
% 0.21/0.46 % --res_time_limit 1000.
% 0.21/0.46 % --res_out_proof true
% 0.21/0.46 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_91b494.s
% 0.21/0.46 % --modulo true
% 0.21/0.46
% 0.21/0.46 % ------ Combination Options
% 0.21/0.46
% 0.21/0.46 % --comb_res_mult 1000
% 0.21/0.46 % --comb_inst_mult 300
% 0.21/0.46 % ------
% 0.21/0.46
% 0.21/0.46 % ------ Parsing...% successful
% 0.21/0.46
% 0.21/0.46 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.21/0.46
% 0.21/0.46 % ------ Proving...
% 0.21/0.46 % ------ Problem Properties
% 0.21/0.46
% 0.21/0.46 %
% 0.21/0.46 % EPR false
% 0.21/0.46 % Horn false
% 0.21/0.46 % Has equality false
% 0.21/0.46
% 0.21/0.46 % % ------ Input Options Time Limit: Unbounded
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 % % ------ Current options:
% 0.21/0.46
% 0.21/0.46 % ------ Input Options
% 0.21/0.46
% 0.21/0.46 % --out_options all
% 0.21/0.46 % --tptp_safe_out true
% 0.21/0.46 % --problem_path ""
% 0.21/0.46 % --include_path ""
% 0.21/0.46 % --clausifier .//eprover
% 0.21/0.46 % --clausifier_options --tstp-format
% 0.21/0.46 % --stdin false
% 0.21/0.46 % --dbg_backtrace false
% 0.21/0.46 % --dbg_dump_prop_clauses false
% 0.21/0.46 % --dbg_dump_prop_clauses_file -
% 0.21/0.46 % --dbg_out_stat false
% 0.21/0.46
% 0.21/0.46 % ------ General Options
% 0.21/0.46
% 0.21/0.46 % --fof false
% 0.21/0.46 % --time_out_real 150.
% 0.21/0.46 % --time_out_prep_mult 0.2
% 0.21/0.46 % --time_out_virtual -1.
% 0.21/0.46 % --schedule none
% 0.21/0.46 % --ground_splitting input
% 0.21/0.46 % --splitting_nvd 16
% 0.21/0.46 % --non_eq_to_eq false
% 0.21/0.46 % --prep_gs_sim true
% 0.21/0.46 % --prep_unflatten false
% 0.21/0.46 % --prep_res_sim true
% 0.21/0.46 % --prep_upred true
% 0.21/0.46 % --res_sim_input true
% 0.21/0.46 % --clause_weak_htbl true
% 0.21/0.46 % --gc_record_bc_elim false
% 0.21/0.46 % --symbol_type_check false
% 0.21/0.46 % --clausify_out false
% 0.21/0.46 % --large_theory_mode false
% 0.21/0.46 % --prep_sem_filter none
% 0.21/0.46 % --prep_sem_filter_out false
% 0.21/0.46 % --preprocessed_out false
% 0.21/0.46 % --sub_typing false
% 0.21/0.46 % --brand_transform false
% 0.21/0.46 % --pure_diseq_elim true
% 0.21/0.46 % --min_unsat_core false
% 0.21/0.46 % --pred_elim true
% 0.21/0.46 % --add_important_lit false
% 0.21/0.46 % --soft_assumptions false
% 0.21/0.46 % --reset_solvers false
% 0.21/0.46 % --bc_imp_inh []
% 0.21/0.46 % --conj_cone_tolerance 1.5
% 0.21/0.46 % --prolific_symb_bound 500
% 0.21/0.46 % --lt_threshold 2000
% 0.21/0.46
% 0.21/0.46 % ------ SAT Options
% 0.21/0.46
% 0.21/0.46 % --sat_mode false
% 0.21/0.46 % --sat_fm_restart_options ""
% 0.21/0.46 % --sat_gr_def false
% 0.21/0.46 % --sat_epr_types true
% 0.21/0.46 % --sat_non_cyclic_types false
% 0.21/0.46 % --sat_finite_models false
% 0.21/0.46 % --sat_fm_lemmas false
% 0.21/0.46 % --sat_fm_prep false
% 0.21/0.46 % --sat_fm_uc_incr true
% 0.21/0.46 % --sat_out_model small
% 0.21/0.46 % --sat_out_clauses false
% 0.21/0.46
% 0.21/0.46 % ------ QBF Options
% 0.21/0.46
% 0.21/0.46 % --qbf_mode false
% 0.21/0.46 % --qbf_elim_univ true
% 0.21/0.46 % --qbf_sk_in true
% 0.21/0.46 % --qbf_pred_elim true
% 0.21/0.46 % --qbf_split 32
% 0.21/0.46
% 0.21/0.46 % ------ BMC1 Options
% 0.21/0.46
% 0.21/0.46 % --bmc1_incremental false
% 0.21/0.46 % --bmc1_axioms reachable_all
% 0.21/0.46 % --bmc1_min_bound 0
% 0.21/0.46 % --bmc1_max_bound -1
% 0.21/0.46 % --bmc1_max_bound_default -1
% 0.21/0.46 % --bmc1_symbol_reachability true
% 0.21/0.46 % --bmc1_property_lemmas false
% 0.21/0.46 % --bmc1_k_induction false
% 0.21/0.46 % --bmc1_non_equiv_states false
% 0.21/0.46 % --bmc1_deadlock false
% 0.21/0.46 % --bmc1_ucm false
% 0.21/0.46 % --bmc1_add_unsat_core none
% 0.21/0.46 % --bmc1_unsat_core_children false
% 0.21/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.46 % --bmc1_out_stat full
% 0.21/0.46 % --bmc1_ground_init false
% 0.21/0.46 % --bmc1_pre_inst_next_state false
% 0.21/0.46 % --bmc1_pre_inst_state false
% 0.21/0.46 % --bmc1_pre_inst_reach_state false
% 0.21/0.46 % --bmc1_out_unsat_core false
% 0.21/0.46 % --bmc1_aig_witness_out false
% 0.21/0.46 % --bmc1_verbose false
% 0.21/0.46 % --bmc1_dump_clauses_tptp false
% 0.21/0.46 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.46 % --bmc1_dump_file -
% 0.21/0.46 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.46 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.46 % --bmc1_ucm_extend_mode 1
% 0.21/0.46 % --bmc1_ucm_init_mode 2
% 0.21/0.46 % --bmc1_ucm_cone_mode none
% 0.21/0.46 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.46 % --bmc1_ucm_relax_model 4
% 0.21/0.46 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.46 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.46 % --bmc1_ucm_layered_model none
% 0.21/0.46 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.46
% 0.21/0.46 % ------ AIG Options
% 0.21/0.46
% 0.21/0.46 % --aig_mode false
% 0.21/0.46
% 0.21/0.46 % ------ Instantiation Options
% 0.21/0.46
% 0.21/0.46 % --instantiation_flag true
% 0.21/0.46 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.46 % --inst_solver_per_active 750
% 0.21/0.46 % --inst_solver_calls_frac 0.5
% 0.21/0.46 % --inst_passive_queue_type priority_queues
% 0.21/0.46 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.46 % --inst_passive_queues_freq [25;2]
% 0.21/0.46 % --inst_dismatching true
% 0.21/0.46 % --inst_eager_unprocessed_to_passive true
% 0.21/0.46 % --inst_prop_sim_given true
% 46.82/47.01 % --inst_prop_sim_new false
% 46.82/47.01 % --inst_orphan_elimination true
% 46.82/47.01 % --inst_learning_loop_flag true
% 46.82/47.01 % --inst_learning_start 3000
% 46.82/47.01 % --inst_learning_factor 2
% 46.82/47.01 % --inst_start_prop_sim_after_learn 3
% 46.82/47.01 % --inst_sel_renew solver
% 46.82/47.01 % --inst_lit_activity_flag true
% 46.82/47.01 % --inst_out_proof true
% 46.82/47.01
% 46.82/47.01 % ------ Resolution Options
% 46.82/47.01
% 46.82/47.01 % --resolution_flag true
% 46.82/47.01 % --res_lit_sel kbo_max
% 46.82/47.01 % --res_to_prop_solver none
% 46.82/47.01 % --res_prop_simpl_new false
% 46.82/47.01 % --res_prop_simpl_given false
% 46.82/47.01 % --res_passive_queue_type priority_queues
% 46.82/47.01 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 46.82/47.01 % --res_passive_queues_freq [15;5]
% 46.82/47.01 % --res_forward_subs full
% 46.82/47.01 % --res_backward_subs full
% 46.82/47.01 % --res_forward_subs_resolution true
% 46.82/47.01 % --res_backward_subs_resolution true
% 46.82/47.01 % --res_orphan_elimination false
% 46.82/47.01 % --res_time_limit 1000.
% 46.82/47.01 % --res_out_proof true
% 46.82/47.01 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_91b494.s
% 46.82/47.01 % --modulo true
% 46.82/47.01
% 46.82/47.01 % ------ Combination Options
% 46.82/47.01
% 46.82/47.01 % --comb_res_mult 1000
% 46.82/47.01 % --comb_inst_mult 300
% 46.82/47.01 % ------
% 46.82/47.01
% 46.82/47.01
% 46.82/47.01
% 46.82/47.01 % ------ Proving...
% 46.82/47.01 %
% 46.82/47.01
% 46.82/47.01
% 46.82/47.01 % ------ Statistics
% 46.82/47.01
% 46.82/47.01 % ------ General
% 46.82/47.01
% 46.82/47.01 % num_of_input_clauses: 146
% 46.82/47.01 % num_of_input_neg_conjectures: 8
% 46.82/47.01 % num_of_splits: 0
% 46.82/47.01 % num_of_split_atoms: 0
% 46.82/47.01 % num_of_sem_filtered_clauses: 0
% 46.82/47.01 % num_of_subtypes: 0
% 46.82/47.01 % monotx_restored_types: 0
% 46.82/47.01 % sat_num_of_epr_types: 0
% 46.82/47.01 % sat_num_of_non_cyclic_types: 0
% 46.82/47.01 % sat_guarded_non_collapsed_types: 0
% 46.82/47.01 % is_epr: 0
% 46.82/47.01 % is_horn: 0
% 46.82/47.01 % has_eq: 0
% 46.82/47.01 % num_pure_diseq_elim: 0
% 46.82/47.01 % simp_replaced_by: 26
% 46.82/47.01 % res_preprocessed: 16
% 46.82/47.01 % prep_upred: 0
% 46.82/47.01 % prep_unflattend: 0
% 46.82/47.01 % pred_elim_cands: 0
% 46.82/47.01 % pred_elim: 0
% 46.82/47.01 % pred_elim_cl: 0
% 46.82/47.01 % pred_elim_cycles: 0
% 46.82/47.01 % forced_gc_time: 0
% 46.82/47.01 % gc_basic_clause_elim: 0
% 46.82/47.01 % parsing_time: 0.006
% 46.82/47.01 % sem_filter_time: 0.
% 46.82/47.01 % pred_elim_time: 0.
% 46.82/47.01 % out_proof_time: 0.017
% 46.82/47.01 % monotx_time: 0.
% 46.82/47.01 % subtype_inf_time: 0.
% 46.82/47.01 % unif_index_cands_time: 0.181
% 46.82/47.01 % unif_index_add_time: 0.038
% 46.82/47.01 % total_time: 46.585
% 46.82/47.01 % num_of_symbols: 54
% 46.82/47.01 % num_of_terms: 308553
% 46.82/47.01
% 46.82/47.01 % ------ Propositional Solver
% 46.82/47.01
% 46.82/47.01 % prop_solver_calls: 75
% 46.82/47.01 % prop_fast_solver_calls: 48
% 46.82/47.01 % prop_num_of_clauses: 170211
% 46.82/47.01 % prop_preprocess_simplified: 208401
% 46.82/47.01 % prop_fo_subsumed: 0
% 46.82/47.01 % prop_solver_time: 0.296
% 46.82/47.01 % prop_fast_solver_time: 0.
% 46.82/47.01 % prop_unsat_core_time: 0.015
% 46.82/47.01
% 46.82/47.01 % ------ QBF
% 46.82/47.01
% 46.82/47.01 % qbf_q_res: 0
% 46.82/47.01 % qbf_num_tautologies: 0
% 46.82/47.01 % qbf_prep_cycles: 0
% 46.82/47.01
% 46.82/47.01 % ------ BMC1
% 46.82/47.01
% 46.82/47.01 % bmc1_current_bound: -1
% 46.82/47.01 % bmc1_last_solved_bound: -1
% 46.82/47.01 % bmc1_unsat_core_size: -1
% 46.82/47.01 % bmc1_unsat_core_parents_size: -1
% 46.82/47.01 % bmc1_merge_next_fun: 0
% 46.82/47.01 % bmc1_unsat_core_clauses_time: 0.
% 46.82/47.01
% 46.82/47.01 % ------ Instantiation
% 46.82/47.01
% 46.82/47.01 % inst_num_of_clauses: 20692
% 46.82/47.01 % inst_num_in_passive: 11152
% 46.82/47.01 % inst_num_in_active: 2575
% 46.82/47.01 % inst_num_in_unprocessed: 6902
% 46.82/47.01 % inst_num_of_loops: 3004
% 46.82/47.03 % inst_num_of_learning_restarts: 2
% 46.82/47.03 % inst_num_moves_active_passive: 363
% 46.82/47.03 % inst_lit_activity: 3241
% 46.82/47.03 % inst_lit_activity_moves: 1
% 46.82/47.03 % inst_num_tautologies: 63
% 46.82/47.03 % inst_num_prop_implied: 0
% 46.82/47.03 % inst_num_existing_simplified: 0
% 46.82/47.03 % inst_num_eq_res_simplified: 0
% 46.82/47.03 % inst_num_child_elim: 0
% 46.82/47.03 % inst_num_of_dismatching_blockings: 1813
% 46.82/47.03 % inst_num_of_non_proper_insts: 22264
% 46.82/47.03 % inst_num_of_duplicates: 12747
% 46.82/47.03 % inst_inst_num_from_inst_to_res: 0
% 46.82/47.03 % inst_dismatching_checking_time: 1.815
% 46.82/47.03
% 46.82/47.03 % ------ Resolution
% 46.82/47.03
% 46.82/47.03 % res_num_of_clauses: 637406
% 46.82/47.03 % res_num_in_passive: 641329
% 46.82/47.03 % res_num_in_active: 2386
% 46.82/47.03 % res_num_of_loops: 41000
% 46.82/47.03 % res_forward_subset_subsumed: 42910
% 46.82/47.03 % res_backward_subset_subsumed: 9244
% 46.82/47.03 % res_forward_subsumed: 36817
% 46.82/47.03 % res_backward_subsumed: 1596
% 46.82/47.03 % res_forward_subsumption_resolution: 170
% 46.82/47.03 % res_backward_subsumption_resolution: 23
% 46.82/47.03 % res_clause_to_clause_subsumption: 473926
% 46.82/47.03 % res_orphan_elimination: 0
% 46.82/47.03 % res_tautology_del: 7460
% 46.82/47.03 % res_num_eq_res_simplified: 0
% 46.82/47.03 % res_num_sel_changes: 0
% 46.82/47.03 % res_moves_from_active_to_pass: 0
% 46.82/47.03
% 46.82/47.03 % Status Unsatisfiable
% 46.82/47.03 % SZS status Theorem
% 46.82/47.03 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------