TSTP Solution File: NUN073+2 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : NUN073+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n032.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 16:29:19 EDT 2022
% Result : Theorem 0.62s 0.87s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 19
% Syntax : Number of formulae : 205 ( 69 unt; 0 def)
% Number of atoms : 470 ( 190 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 452 ( 187 ~; 186 |; 79 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 50 ( 50 usr; 12 con; 0-2 aty)
% Number of variables : 418 ( 23 sgn 79 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
% Start CNF derivation
% End CNF derivation
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X35,X36] :
? [X37] :
! [X38] :
( ( ~ r3(X35,X36,X38)
& X38 != X37 )
| ( r3(X35,X36,X38)
& X38 = X37 ) ),
file('<stdin>',axiom_3) ).
fof(c_0_1,axiom,
! [X31,X32] :
? [X33] :
! [X34] :
( ( ~ r4(X31,X32,X34)
& X34 != X33 )
| ( r4(X31,X32,X34)
& X34 = X33 ) ),
file('<stdin>',axiom_4) ).
fof(c_0_2,axiom,
! [X25,X26] :
? [X27] :
( ? [X28] :
( ? [X29] :
( r2(X26,X29)
& r3(X25,X29,X28) )
& X28 = X27 )
& ? [X30] :
( r2(X30,X27)
& r3(X25,X26,X30) ) ),
file('<stdin>',axiom_1a) ).
fof(c_0_3,axiom,
! [X19,X20] :
? [X21] :
( ? [X22] :
( ? [X23] :
( r2(X20,X23)
& r4(X19,X23,X22) )
& X22 = X21 )
& ? [X24] :
( r3(X24,X19,X21)
& r4(X19,X20,X24) ) ),
file('<stdin>',axiom_2a) ).
fof(c_0_4,axiom,
! [X12] :
? [X13] :
( ? [X14] :
( r1(X14)
& r3(X12,X14,X13) )
& X13 = X12 ),
file('<stdin>',axiom_4a) ).
fof(c_0_5,axiom,
! [X8] :
? [X9] :
( ? [X10] :
( r1(X10)
& r4(X8,X10,X9) )
& ? [X11] :
( r1(X11)
& X9 = X11 ) ),
file('<stdin>',axiom_5a) ).
fof(c_0_6,axiom,
! [X15,X16] :
( ! [X17] :
( ! [X18] :
( ~ r2(X15,X18)
| X18 != X17 )
| ~ r2(X16,X17) )
| X15 = X16 ),
file('<stdin>',axiom_3a) ).
fof(c_0_7,axiom,
! [X4] :
( ? [X5] :
( r1(X5)
& X4 = X5 )
| ? [X6,X7] :
( r2(X6,X7)
& X4 = X7 ) ),
file('<stdin>',axiom_6a) ).
fof(c_0_8,axiom,
! [X39] :
? [X40] :
! [X41] :
( ( ~ r2(X39,X41)
& X41 != X40 )
| ( r2(X39,X41)
& X41 = X40 ) ),
file('<stdin>',axiom_2) ).
fof(c_0_9,axiom,
! [X1,X2] :
( ! [X3] :
( ~ r1(X3)
| X3 != X2 )
| ~ r2(X1,X2) ),
file('<stdin>',axiom_7a) ).
fof(c_0_10,axiom,
? [X42] :
! [X43] :
( ( ~ r1(X43)
& X43 != X42 )
| ( r1(X43)
& X43 = X42 ) ),
file('<stdin>',axiom_1) ).
fof(c_0_11,plain,
! [X35,X36] :
? [X37] :
! [X38] :
( ( ~ r3(X35,X36,X38)
& X38 != X37 )
| ( r3(X35,X36,X38)
& X38 = X37 ) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_12,plain,
! [X31,X32] :
? [X33] :
! [X34] :
( ( ~ r4(X31,X32,X34)
& X34 != X33 )
| ( r4(X31,X32,X34)
& X34 = X33 ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_13,axiom,
! [X25,X26] :
? [X27] :
( ? [X28] :
( ? [X29] :
( r2(X26,X29)
& r3(X25,X29,X28) )
& X28 = X27 )
& ? [X30] :
( r2(X30,X27)
& r3(X25,X26,X30) ) ),
c_0_2 ).
fof(c_0_14,axiom,
! [X19,X20] :
? [X21] :
( ? [X22] :
( ? [X23] :
( r2(X20,X23)
& r4(X19,X23,X22) )
& X22 = X21 )
& ? [X24] :
( r3(X24,X19,X21)
& r4(X19,X20,X24) ) ),
c_0_3 ).
fof(c_0_15,axiom,
! [X12] :
? [X13] :
( ? [X14] :
( r1(X14)
& r3(X12,X14,X13) )
& X13 = X12 ),
c_0_4 ).
fof(c_0_16,axiom,
! [X8] :
? [X9] :
( ? [X10] :
( r1(X10)
& r4(X8,X10,X9) )
& ? [X11] :
( r1(X11)
& X9 = X11 ) ),
c_0_5 ).
fof(c_0_17,plain,
! [X15,X16] :
( ! [X17] :
( ! [X18] :
( ~ r2(X15,X18)
| X18 != X17 )
| ~ r2(X16,X17) )
| X15 = X16 ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_18,axiom,
! [X4] :
( ? [X5] :
( r1(X5)
& X4 = X5 )
| ? [X6,X7] :
( r2(X6,X7)
& X4 = X7 ) ),
c_0_7 ).
fof(c_0_19,plain,
! [X39] :
? [X40] :
! [X41] :
( ( ~ r2(X39,X41)
& X41 != X40 )
| ( r2(X39,X41)
& X41 = X40 ) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_20,plain,
! [X1,X2] :
( ! [X3] :
( ~ r1(X3)
| X3 != X2 )
| ~ r2(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_21,plain,
? [X42] :
! [X43] :
( ( ~ r1(X43)
& X43 != X42 )
| ( r1(X43)
& X43 = X42 ) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_22,plain,
! [X39,X40,X42] :
( ( r3(X39,X40,X42)
| ~ r3(X39,X40,X42) )
& ( X42 = esk18_2(X39,X40)
| ~ r3(X39,X40,X42) )
& ( r3(X39,X40,X42)
| X42 != esk18_2(X39,X40) )
& ( X42 = esk18_2(X39,X40)
| X42 != esk18_2(X39,X40) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_11])])]) ).
fof(c_0_23,plain,
! [X35,X36,X38] :
( ( r4(X35,X36,X38)
| ~ r4(X35,X36,X38) )
& ( X38 = esk17_2(X35,X36)
| ~ r4(X35,X36,X38) )
& ( r4(X35,X36,X38)
| X38 != esk17_2(X35,X36) )
& ( X38 = esk17_2(X35,X36)
| X38 != esk17_2(X35,X36) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_12])])]) ).
fof(c_0_24,plain,
! [X31,X32] :
( r2(X32,esk15_2(X31,X32))
& r3(X31,esk15_2(X31,X32),esk14_2(X31,X32))
& esk14_2(X31,X32) = esk13_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_13])]) ).
fof(c_0_25,plain,
! [X25,X26] :
( r2(X26,esk11_2(X25,X26))
& r4(X25,esk11_2(X25,X26),esk10_2(X25,X26))
& esk10_2(X25,X26) = esk9_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_14])]) ).
fof(c_0_26,plain,
! [X15] :
( r1(esk8_1(X15))
& r3(X15,esk8_1(X15),esk7_1(X15))
& esk7_1(X15) = X15 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_15])]) ).
fof(c_0_27,plain,
! [X12] :
( r1(esk5_1(X12))
& r4(X12,esk5_1(X12),esk4_1(X12))
& r1(esk6_1(X12))
& esk4_1(X12) = esk6_1(X12) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_16])]) ).
fof(c_0_28,plain,
! [X19,X20,X21,X22] :
( ~ r2(X19,X22)
| X22 != X21
| ~ r2(X20,X21)
| X19 = X20 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_17])]) ).
fof(c_0_29,plain,
! [X8] :
( ( r2(esk2_1(X8),esk3_1(X8))
| r1(esk1_1(X8)) )
& ( X8 = esk3_1(X8)
| r1(esk1_1(X8)) )
& ( r2(esk2_1(X8),esk3_1(X8))
| X8 = esk1_1(X8) )
& ( X8 = esk3_1(X8)
| X8 = esk1_1(X8) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_18])])]) ).
fof(c_0_30,plain,
! [X42,X44] :
( ( r2(X42,X44)
| ~ r2(X42,X44) )
& ( X44 = esk19_1(X42)
| ~ r2(X42,X44) )
& ( r2(X42,X44)
| X44 != esk19_1(X42) )
& ( X44 = esk19_1(X42)
| X44 != esk19_1(X42) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_19])])]) ).
fof(c_0_31,plain,
! [X4,X5,X6] :
( ~ r1(X6)
| X6 != X5
| ~ r2(X4,X5) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_20])]) ).
fof(c_0_32,plain,
! [X45] :
( ( r1(X45)
| ~ r1(X45) )
& ( X45 = esk20_0
| ~ r1(X45) )
& ( r1(X45)
| X45 != esk20_0 )
& ( X45 = esk20_0
| X45 != esk20_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_21])])]) ).
cnf(c_0_33,plain,
( r3(X1,X2,X3)
| ~ r3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,plain,
( r4(X1,X2,X3)
| ~ r4(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,plain,
r3(X1,esk15_2(X1,X2),esk14_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,plain,
r4(X1,esk11_2(X1,X2),esk10_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,plain,
r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,plain,
( X3 = esk18_2(X1,X2)
| ~ r3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_39,plain,
( X3 = esk17_2(X1,X2)
| ~ r4(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_40,plain,
r3(X1,X2,esk16_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_41,plain,
r4(X1,X2,esk12_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_42,plain,
( r3(X2,X3,X1)
| X1 != esk18_2(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_43,plain,
( r4(X2,X3,X1)
| X1 != esk17_2(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_44,plain,
r3(X1,esk8_1(X1),esk7_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_45,plain,
r4(X1,esk5_1(X1),esk4_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_46,plain,
r2(esk16_2(X1,X2),esk13_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_47,plain,
( X1 = X2
| ~ r2(X2,X3)
| X4 != X3
| ~ r2(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_48,plain,
r2(X1,esk15_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_49,plain,
r2(X1,esk11_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_50,plain,
( X1 = esk18_2(X2,X3)
| X1 != esk18_2(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_51,plain,
( X1 = esk17_2(X2,X3)
| X1 != esk17_2(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_52,plain,
( r1(esk1_1(X1))
| r2(esk2_1(X1),esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_53,plain,
( r2(X1,X2)
| ~ r2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_54,plain,
( ~ r2(X1,X2)
| X3 != X2
| ~ r1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_55,plain,
( X1 = esk1_1(X1)
| r2(esk2_1(X1),esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_56,plain,
esk14_2(X1,X2) = esk13_2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_57,plain,
esk10_2(X1,X2) = esk9_2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_58,plain,
( X2 = esk19_1(X1)
| ~ r2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_59,plain,
( r2(X2,X1)
| X1 != esk19_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_60,plain,
( r1(esk1_1(X1))
| X1 = esk3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_61,plain,
( X1 = esk19_1(X2)
| X1 != esk19_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_62,plain,
( r1(X1)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_63,plain,
r1(esk8_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_64,plain,
r1(esk5_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_65,plain,
r1(esk6_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_66,plain,
( X1 = esk1_1(X1)
| X1 = esk3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_67,plain,
( X1 = esk20_0
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_68,plain,
esk4_1(X1) = esk6_1(X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_69,plain,
( r1(X1)
| X1 != esk20_0 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_70,plain,
esk7_1(X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_71,plain,
( X1 = esk20_0
| X1 != esk20_0 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_72,plain,
( r3(X1,X2,X3)
| ~ r3(X1,X2,X3) ),
c_0_33,
[final] ).
cnf(c_0_73,plain,
( r4(X1,X2,X3)
| ~ r4(X1,X2,X3) ),
c_0_34,
[final] ).
cnf(c_0_74,plain,
r3(X1,esk15_2(X1,X2),esk14_2(X1,X2)),
c_0_35,
[final] ).
cnf(c_0_75,plain,
r4(X1,esk11_2(X1,X2),esk10_2(X1,X2)),
c_0_36,
[final] ).
cnf(c_0_76,plain,
r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
c_0_37,
[final] ).
cnf(c_0_77,plain,
( X3 = esk18_2(X1,X2)
| ~ r3(X1,X2,X3) ),
c_0_38,
[final] ).
cnf(c_0_78,plain,
( X3 = esk17_2(X1,X2)
| ~ r4(X1,X2,X3) ),
c_0_39,
[final] ).
cnf(c_0_79,plain,
r3(X1,X2,esk16_2(X1,X2)),
c_0_40,
[final] ).
cnf(c_0_80,plain,
r4(X1,X2,esk12_2(X1,X2)),
c_0_41,
[final] ).
cnf(c_0_81,plain,
( r3(X2,X3,X1)
| X1 != esk18_2(X2,X3) ),
c_0_42,
[final] ).
cnf(c_0_82,plain,
( r4(X2,X3,X1)
| X1 != esk17_2(X2,X3) ),
c_0_43,
[final] ).
cnf(c_0_83,plain,
r3(X1,esk8_1(X1),esk7_1(X1)),
c_0_44,
[final] ).
cnf(c_0_84,plain,
r4(X1,esk5_1(X1),esk4_1(X1)),
c_0_45,
[final] ).
cnf(c_0_85,plain,
r2(esk16_2(X1,X2),esk13_2(X1,X2)),
c_0_46,
[final] ).
cnf(c_0_86,plain,
( X1 = X2
| ~ r2(X2,X3)
| X4 != X3
| ~ r2(X1,X4) ),
c_0_47,
[final] ).
cnf(c_0_87,plain,
r2(X1,esk15_2(X2,X1)),
c_0_48,
[final] ).
cnf(c_0_88,plain,
r2(X1,esk11_2(X2,X1)),
c_0_49,
[final] ).
cnf(c_0_89,plain,
( X1 = esk18_2(X2,X3)
| X1 != esk18_2(X2,X3) ),
c_0_50,
[final] ).
cnf(c_0_90,plain,
( X1 = esk17_2(X2,X3)
| X1 != esk17_2(X2,X3) ),
c_0_51,
[final] ).
cnf(c_0_91,plain,
( r1(esk1_1(X1))
| r2(esk2_1(X1),esk3_1(X1)) ),
c_0_52,
[final] ).
cnf(c_0_92,plain,
( r2(X1,X2)
| ~ r2(X1,X2) ),
c_0_53,
[final] ).
cnf(c_0_93,plain,
( ~ r2(X1,X2)
| X3 != X2
| ~ r1(X3) ),
c_0_54,
[final] ).
cnf(c_0_94,plain,
( esk1_1(X1) = X1
| r2(esk2_1(X1),esk3_1(X1)) ),
c_0_55,
[final] ).
cnf(c_0_95,plain,
esk14_2(X1,X2) = esk13_2(X1,X2),
c_0_56,
[final] ).
cnf(c_0_96,plain,
esk10_2(X1,X2) = esk9_2(X1,X2),
c_0_57,
[final] ).
cnf(c_0_97,plain,
( X2 = esk19_1(X1)
| ~ r2(X1,X2) ),
c_0_58,
[final] ).
cnf(c_0_98,plain,
( r2(X2,X1)
| X1 != esk19_1(X2) ),
c_0_59,
[final] ).
cnf(c_0_99,plain,
( r1(esk1_1(X1))
| esk3_1(X1) = X1 ),
c_0_60,
[final] ).
cnf(c_0_100,plain,
( X1 = esk19_1(X2)
| X1 != esk19_1(X2) ),
c_0_61,
[final] ).
cnf(c_0_101,plain,
( r1(X1)
| ~ r1(X1) ),
c_0_62,
[final] ).
cnf(c_0_102,plain,
r1(esk8_1(X1)),
c_0_63,
[final] ).
cnf(c_0_103,plain,
r1(esk5_1(X1)),
c_0_64,
[final] ).
cnf(c_0_104,plain,
r1(esk6_1(X1)),
c_0_65,
[final] ).
cnf(c_0_105,plain,
( esk1_1(X1) = X1
| esk3_1(X1) = X1 ),
c_0_66,
[final] ).
cnf(c_0_106,plain,
( X1 = esk20_0
| ~ r1(X1) ),
c_0_67,
[final] ).
cnf(c_0_107,plain,
esk6_1(X1) = esk4_1(X1),
c_0_68,
[final] ).
cnf(c_0_108,plain,
( r1(X1)
| X1 != esk20_0 ),
c_0_69,
[final] ).
cnf(c_0_109,plain,
esk7_1(X1) = X1,
c_0_70,
[final] ).
cnf(c_0_110,plain,
( X1 = esk20_0
| X1 != esk20_0 ),
c_0_71,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_72_0,axiom,
( r3(X1,X2,X3)
| ~ r3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_72]) ).
cnf(c_0_72_1,axiom,
( ~ r3(X1,X2,X3)
| r3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_72]) ).
cnf(c_0_73_0,axiom,
( r4(X1,X2,X3)
| ~ r4(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_73]) ).
cnf(c_0_73_1,axiom,
( ~ r4(X1,X2,X3)
| r4(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_73]) ).
cnf(c_0_77_0,axiom,
( X3 = sk2_esk18_2(X1,X2)
| ~ r3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_1,axiom,
( ~ r3(X1,X2,X3)
| X3 = sk2_esk18_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_78_0,axiom,
( X3 = sk2_esk17_2(X1,X2)
| ~ r4(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_1,axiom,
( ~ r4(X1,X2,X3)
| X3 = sk2_esk17_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_81_0,axiom,
( r3(X2,X3,X1)
| X1 != sk2_esk18_2(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_1,axiom,
( X1 != sk2_esk18_2(X2,X3)
| r3(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_82_0,axiom,
( r4(X2,X3,X1)
| X1 != sk2_esk17_2(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_1,axiom,
( X1 != sk2_esk17_2(X2,X3)
| r4(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_86_0,axiom,
( X1 = X2
| ~ r2(X2,X3)
| X4 != X3
| ~ r2(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_1,axiom,
( ~ r2(X2,X3)
| X1 = X2
| X4 != X3
| ~ r2(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_2,axiom,
( X4 != X3
| ~ r2(X2,X3)
| X1 = X2
| ~ r2(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_3,axiom,
( ~ r2(X1,X4)
| X4 != X3
| ~ r2(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_89_0,axiom,
( X1 = sk2_esk18_2(X2,X3)
| X1 != sk2_esk18_2(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_1,axiom,
( X1 != sk2_esk18_2(X2,X3)
| X1 = sk2_esk18_2(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_90_0,axiom,
( X1 = sk2_esk17_2(X2,X3)
| X1 != sk2_esk17_2(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_1,axiom,
( X1 != sk2_esk17_2(X2,X3)
| X1 = sk2_esk17_2(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_91_0,axiom,
( r1(sk2_esk1_1(X1))
| r2(sk2_esk2_1(X1),sk2_esk3_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_1,axiom,
( r2(sk2_esk2_1(X1),sk2_esk3_1(X1))
| r1(sk2_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_92_0,axiom,
( r2(X1,X2)
| ~ r2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_1,axiom,
( ~ r2(X1,X2)
| r2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_93_0,axiom,
( ~ r2(X1,X2)
| X3 != X2
| ~ r1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_1,axiom,
( X3 != X2
| ~ r2(X1,X2)
| ~ r1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_2,axiom,
( ~ r1(X3)
| X3 != X2
| ~ r2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_94_0,axiom,
( sk2_esk1_1(X1) = X1
| r2(sk2_esk2_1(X1),sk2_esk3_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_1,axiom,
( r2(sk2_esk2_1(X1),sk2_esk3_1(X1))
| sk2_esk1_1(X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_97_0,axiom,
( X2 = sk2_esk19_1(X1)
| ~ r2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_1,axiom,
( ~ r2(X1,X2)
| X2 = sk2_esk19_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_98_0,axiom,
( r2(X2,X1)
| X1 != sk2_esk19_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_1,axiom,
( X1 != sk2_esk19_1(X2)
| r2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_99_0,axiom,
( r1(sk2_esk1_1(X1))
| sk2_esk3_1(X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_1,axiom,
( sk2_esk3_1(X1) = X1
| r1(sk2_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_100_0,axiom,
( X1 = sk2_esk19_1(X2)
| X1 != sk2_esk19_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_1,axiom,
( X1 != sk2_esk19_1(X2)
| X1 = sk2_esk19_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_101_0,axiom,
( r1(X1)
| ~ r1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_1,axiom,
( ~ r1(X1)
| r1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_105_0,axiom,
( sk2_esk1_1(X1) = X1
| sk2_esk3_1(X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_1,axiom,
( sk2_esk3_1(X1) = X1
| sk2_esk1_1(X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_106_0,axiom,
( X1 = sk2_esk20_0
| ~ r1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_1,axiom,
( ~ r1(X1)
| X1 = sk2_esk20_0 ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_108_0,axiom,
( r1(X1)
| X1 != sk2_esk20_0 ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_1,axiom,
( X1 != sk2_esk20_0
| r1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_110_0,axiom,
( X1 = sk2_esk20_0
| X1 != sk2_esk20_0 ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_1,axiom,
( X1 != sk2_esk20_0
| X1 = sk2_esk20_0 ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_74_0,axiom,
r3(X1,sk2_esk15_2(X1,X2),sk2_esk14_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_74]) ).
cnf(c_0_75_0,axiom,
r4(X1,sk2_esk11_2(X1,X2),sk2_esk10_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_75]) ).
cnf(c_0_76_0,axiom,
r3(sk2_esk12_2(X1,X2),X1,sk2_esk9_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_79_0,axiom,
r3(X1,X2,sk2_esk16_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_80_0,axiom,
r4(X1,X2,sk2_esk12_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_83_0,axiom,
r3(X1,sk2_esk8_1(X1),sk2_esk7_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_84_0,axiom,
r4(X1,sk2_esk5_1(X1),sk2_esk4_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_85_0,axiom,
r2(sk2_esk16_2(X1,X2),sk2_esk13_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_87_0,axiom,
r2(X1,sk2_esk15_2(X2,X1)),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_88_0,axiom,
r2(X1,sk2_esk11_2(X2,X1)),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_95_0,axiom,
sk2_esk14_2(X1,X2) = sk2_esk13_2(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_96_0,axiom,
sk2_esk10_2(X1,X2) = sk2_esk9_2(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_102_0,axiom,
r1(sk2_esk8_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_103_0,axiom,
r1(sk2_esk5_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_104_0,axiom,
r1(sk2_esk6_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_107_0,axiom,
sk2_esk6_1(X1) = sk2_esk4_1(X1),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_109_0,axiom,
sk2_esk7_1(X1) = X1,
inference(literals_permutation,[status(thm)],[c_0_109]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
! [X1] :
( ! [X2] :
( ! [X3] :
( ~ r1(X3)
| ~ r2(X3,X2) )
| X2 != X1 )
| ! [X4] :
( ! [X5] :
( ~ r1(X5)
| ~ r2(X5,X4) )
| ~ r2(X4,X1) ) ),
file('<stdin>',oneuneqtwo) ).
fof(c_0_1_002,negated_conjecture,
~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ r1(X3)
| ~ r2(X3,X2) )
| X2 != X1 )
| ! [X4] :
( ! [X5] :
( ~ r1(X5)
| ~ r2(X5,X4) )
| ~ r2(X4,X1) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_003,negated_conjecture,
( r1(esk3_0)
& r2(esk3_0,esk2_0)
& esk2_0 = esk1_0
& r1(esk5_0)
& r2(esk5_0,esk4_0)
& r2(esk4_0,esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_004,negated_conjecture,
r2(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
r2(esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_006,negated_conjecture,
r2(esk4_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_007,negated_conjecture,
r1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_008,negated_conjecture,
r1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_009,negated_conjecture,
esk2_0 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9_010,negated_conjecture,
r2(esk3_0,esk2_0),
c_0_3,
[final] ).
cnf(c_0_10_011,negated_conjecture,
r2(esk5_0,esk4_0),
c_0_4,
[final] ).
cnf(c_0_11_012,negated_conjecture,
r2(esk4_0,esk1_0),
c_0_5,
[final] ).
cnf(c_0_12_013,negated_conjecture,
r1(esk3_0),
c_0_6,
[final] ).
cnf(c_0_13_014,negated_conjecture,
r1(esk5_0),
c_0_7,
[final] ).
cnf(c_0_14_015,negated_conjecture,
esk2_0 = esk1_0,
c_0_8,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_12,plain,
( ~ r2(X0,X1)
| X1 != X2
| ~ r2(X3,X2)
| X0 = X3 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_9eed43.p',c_0_86_0) ).
cnf(c_154,plain,
( ~ r2(X0,X1)
| X1 != X2
| ~ r2(X3,X2)
| X0 = X3 ),
inference(copy,[status(esa)],[c_12]) ).
cnf(c_12248,plain,
( ~ r2(sk3_esk3_0,sk3_esk2_0)
| ~ r2(X0,X1)
| sk3_esk3_0 = X0
| sk3_esk2_0 != X1 ),
inference(instantiation,[status(thm)],[c_154]) ).
cnf(c_12342,plain,
( ~ r2(sk3_esk3_0,sk3_esk2_0)
| ~ r2(sk3_esk4_0,X0)
| sk3_esk3_0 = sk3_esk4_0
| sk3_esk2_0 != X0 ),
inference(instantiation,[status(thm)],[c_12248]) ).
cnf(c_12475,plain,
( ~ r2(sk3_esk3_0,sk3_esk2_0)
| ~ r2(sk3_esk4_0,sk3_esk1_0)
| sk3_esk3_0 = sk3_esk4_0
| sk3_esk2_0 != sk3_esk1_0 ),
inference(instantiation,[status(thm)],[c_12342]) ).
cnf(c_24,plain,
( ~ r1(X0)
| X0 != X1
| ~ r2(X2,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_9eed43.p',c_0_93_0) ).
cnf(c_166,plain,
( ~ r1(X0)
| X0 != X1
| ~ r2(X2,X1) ),
inference(copy,[status(esa)],[c_24]) ).
cnf(c_11973,plain,
( ~ r2(X0,X1)
| ~ r1(sk3_esk3_0)
| sk3_esk3_0 != X1 ),
inference(instantiation,[status(thm)],[c_166]) ).
cnf(c_12044,plain,
( ~ r2(sk3_esk5_0,sk3_esk4_0)
| ~ r1(sk3_esk3_0)
| sk3_esk3_0 != sk3_esk4_0 ),
inference(instantiation,[status(thm)],[c_11973]) ).
cnf(c_64,negated_conjecture,
r2(sk3_esk3_0,sk3_esk2_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_9eed43.p',c_0_9) ).
cnf(c_65,negated_conjecture,
r2(sk3_esk5_0,sk3_esk4_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_9eed43.p',c_0_10) ).
cnf(c_66,negated_conjecture,
r2(sk3_esk4_0,sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_9eed43.p',c_0_11) ).
cnf(c_67,negated_conjecture,
r1(sk3_esk3_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_9eed43.p',c_0_12) ).
cnf(c_69,negated_conjecture,
sk3_esk2_0 = sk3_esk1_0,
file('/export/starexec/sandbox/tmp/iprover_modulo_9eed43.p',c_0_14) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_12475,c_12044,c_64,c_65,c_66,c_67,c_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUN073+2 : TPTP v8.1.0. Released v7.3.0.
% 0.00/0.09 % Command : iprover_modulo %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Thu Jun 2 06:32:15 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.10/0.29 % Running in mono-core mode
% 0.14/0.34 % Orienting using strategy Equiv(ClausalAll)
% 0.14/0.34 % FOF problem with conjecture
% 0.14/0.34 % 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/sandbox/tmp/iprover_proof_4003fe.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_9eed43.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_a66fa2 | grep -v "SZS"
% 0.14/0.35
% 0.14/0.35 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.14/0.35
% 0.14/0.35 %
% 0.14/0.35 % ------ iProver source info
% 0.14/0.35
% 0.14/0.35 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.14/0.35 % git: non_committed_changes: true
% 0.14/0.35 % git: last_make_outside_of_git: true
% 0.14/0.35
% 0.14/0.35 %
% 0.14/0.35 % ------ Input Options
% 0.14/0.35
% 0.14/0.35 % --out_options all
% 0.14/0.35 % --tptp_safe_out true
% 0.14/0.35 % --problem_path ""
% 0.14/0.35 % --include_path ""
% 0.14/0.35 % --clausifier .//eprover
% 0.14/0.35 % --clausifier_options --tstp-format
% 0.14/0.35 % --stdin false
% 0.14/0.35 % --dbg_backtrace false
% 0.14/0.35 % --dbg_dump_prop_clauses false
% 0.14/0.35 % --dbg_dump_prop_clauses_file -
% 0.14/0.35 % --dbg_out_stat false
% 0.14/0.35
% 0.14/0.35 % ------ General Options
% 0.14/0.35
% 0.14/0.35 % --fof false
% 0.14/0.35 % --time_out_real 150.
% 0.14/0.35 % --time_out_prep_mult 0.2
% 0.14/0.35 % --time_out_virtual -1.
% 0.14/0.35 % --schedule none
% 0.14/0.35 % --ground_splitting input
% 0.14/0.35 % --splitting_nvd 16
% 0.14/0.35 % --non_eq_to_eq false
% 0.14/0.35 % --prep_gs_sim true
% 0.14/0.35 % --prep_unflatten false
% 0.14/0.35 % --prep_res_sim true
% 0.14/0.35 % --prep_upred true
% 0.14/0.35 % --res_sim_input true
% 0.14/0.35 % --clause_weak_htbl true
% 0.14/0.35 % --gc_record_bc_elim false
% 0.14/0.35 % --symbol_type_check false
% 0.14/0.35 % --clausify_out false
% 0.14/0.35 % --large_theory_mode false
% 0.14/0.35 % --prep_sem_filter none
% 0.14/0.35 % --prep_sem_filter_out false
% 0.14/0.35 % --preprocessed_out false
% 0.14/0.35 % --sub_typing false
% 0.14/0.35 % --brand_transform false
% 0.14/0.35 % --pure_diseq_elim true
% 0.14/0.35 % --min_unsat_core false
% 0.14/0.35 % --pred_elim true
% 0.14/0.35 % --add_important_lit false
% 0.14/0.35 % --soft_assumptions false
% 0.14/0.35 % --reset_solvers false
% 0.14/0.35 % --bc_imp_inh []
% 0.14/0.35 % --conj_cone_tolerance 1.5
% 0.14/0.35 % --prolific_symb_bound 500
% 0.14/0.35 % --lt_threshold 2000
% 0.14/0.35
% 0.14/0.35 % ------ SAT Options
% 0.14/0.35
% 0.14/0.35 % --sat_mode false
% 0.14/0.35 % --sat_fm_restart_options ""
% 0.14/0.35 % --sat_gr_def false
% 0.14/0.35 % --sat_epr_types true
% 0.14/0.35 % --sat_non_cyclic_types false
% 0.14/0.35 % --sat_finite_models false
% 0.14/0.35 % --sat_fm_lemmas false
% 0.14/0.35 % --sat_fm_prep false
% 0.14/0.35 % --sat_fm_uc_incr true
% 0.14/0.35 % --sat_out_model small
% 0.14/0.35 % --sat_out_clauses false
% 0.14/0.35
% 0.14/0.35 % ------ QBF Options
% 0.14/0.35
% 0.14/0.35 % --qbf_mode false
% 0.14/0.35 % --qbf_elim_univ true
% 0.14/0.35 % --qbf_sk_in true
% 0.14/0.35 % --qbf_pred_elim true
% 0.14/0.35 % --qbf_split 32
% 0.14/0.35
% 0.14/0.35 % ------ BMC1 Options
% 0.14/0.35
% 0.14/0.35 % --bmc1_incremental false
% 0.14/0.35 % --bmc1_axioms reachable_all
% 0.14/0.35 % --bmc1_min_bound 0
% 0.14/0.35 % --bmc1_max_bound -1
% 0.14/0.35 % --bmc1_max_bound_default -1
% 0.14/0.35 % --bmc1_symbol_reachability true
% 0.14/0.35 % --bmc1_property_lemmas false
% 0.14/0.35 % --bmc1_k_induction false
% 0.14/0.35 % --bmc1_non_equiv_states false
% 0.14/0.35 % --bmc1_deadlock false
% 0.14/0.35 % --bmc1_ucm false
% 0.14/0.35 % --bmc1_add_unsat_core none
% 0.14/0.35 % --bmc1_unsat_core_children false
% 0.14/0.35 % --bmc1_unsat_core_extrapolate_axioms false
% 0.14/0.35 % --bmc1_out_stat full
% 0.14/0.35 % --bmc1_ground_init false
% 0.14/0.35 % --bmc1_pre_inst_next_state false
% 0.14/0.35 % --bmc1_pre_inst_state false
% 0.14/0.35 % --bmc1_pre_inst_reach_state false
% 0.14/0.35 % --bmc1_out_unsat_core false
% 0.14/0.35 % --bmc1_aig_witness_out false
% 0.14/0.35 % --bmc1_verbose false
% 0.14/0.35 % --bmc1_dump_clauses_tptp false
% 0.14/0.54 % --bmc1_dump_unsat_core_tptp false
% 0.14/0.54 % --bmc1_dump_file -
% 0.14/0.54 % --bmc1_ucm_expand_uc_limit 128
% 0.14/0.54 % --bmc1_ucm_n_expand_iterations 6
% 0.14/0.54 % --bmc1_ucm_extend_mode 1
% 0.14/0.54 % --bmc1_ucm_init_mode 2
% 0.14/0.54 % --bmc1_ucm_cone_mode none
% 0.14/0.54 % --bmc1_ucm_reduced_relation_type 0
% 0.14/0.54 % --bmc1_ucm_relax_model 4
% 0.14/0.54 % --bmc1_ucm_full_tr_after_sat true
% 0.14/0.54 % --bmc1_ucm_expand_neg_assumptions false
% 0.14/0.54 % --bmc1_ucm_layered_model none
% 0.14/0.54 % --bmc1_ucm_max_lemma_size 10
% 0.14/0.54
% 0.14/0.54 % ------ AIG Options
% 0.14/0.54
% 0.14/0.54 % --aig_mode false
% 0.14/0.54
% 0.14/0.54 % ------ Instantiation Options
% 0.14/0.54
% 0.14/0.54 % --instantiation_flag true
% 0.14/0.54 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.14/0.54 % --inst_solver_per_active 750
% 0.14/0.54 % --inst_solver_calls_frac 0.5
% 0.14/0.54 % --inst_passive_queue_type priority_queues
% 0.14/0.54 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.14/0.54 % --inst_passive_queues_freq [25;2]
% 0.14/0.54 % --inst_dismatching true
% 0.14/0.54 % --inst_eager_unprocessed_to_passive true
% 0.14/0.54 % --inst_prop_sim_given true
% 0.14/0.54 % --inst_prop_sim_new false
% 0.14/0.54 % --inst_orphan_elimination true
% 0.14/0.54 % --inst_learning_loop_flag true
% 0.14/0.54 % --inst_learning_start 3000
% 0.14/0.54 % --inst_learning_factor 2
% 0.14/0.54 % --inst_start_prop_sim_after_learn 3
% 0.14/0.54 % --inst_sel_renew solver
% 0.14/0.54 % --inst_lit_activity_flag true
% 0.14/0.54 % --inst_out_proof true
% 0.14/0.54
% 0.14/0.54 % ------ Resolution Options
% 0.14/0.54
% 0.14/0.54 % --resolution_flag true
% 0.14/0.54 % --res_lit_sel kbo_max
% 0.14/0.54 % --res_to_prop_solver none
% 0.14/0.54 % --res_prop_simpl_new false
% 0.14/0.54 % --res_prop_simpl_given false
% 0.14/0.54 % --res_passive_queue_type priority_queues
% 0.14/0.54 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.14/0.54 % --res_passive_queues_freq [15;5]
% 0.14/0.54 % --res_forward_subs full
% 0.14/0.54 % --res_backward_subs full
% 0.14/0.54 % --res_forward_subs_resolution true
% 0.14/0.54 % --res_backward_subs_resolution true
% 0.14/0.54 % --res_orphan_elimination false
% 0.14/0.54 % --res_time_limit 1000.
% 0.14/0.54 % --res_out_proof true
% 0.14/0.54 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_4003fe.s
% 0.14/0.54 % --modulo true
% 0.14/0.54
% 0.14/0.54 % ------ Combination Options
% 0.14/0.54
% 0.14/0.54 % --comb_res_mult 1000
% 0.14/0.54 % --comb_inst_mult 300
% 0.14/0.54 % ------
% 0.14/0.54
% 0.14/0.54 % ------ Parsing...% successful
% 0.14/0.54
% 0.14/0.54 % ------ 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 %
% 0.14/0.54
% 0.14/0.54 % ------ Proving...
% 0.14/0.54 % ------ Problem Properties
% 0.14/0.54
% 0.14/0.54 %
% 0.14/0.54 % EPR false
% 0.14/0.54 % Horn false
% 0.14/0.54 % Has equality true
% 0.14/0.54
% 0.14/0.54 % % ------ Input Options Time Limit: Unbounded
% 0.14/0.54
% 0.14/0.54
% 0.14/0.54 Compiling...
% 0.14/0.54 Loading plugin: done.
% 0.14/0.54 Compiling...
% 0.14/0.54 Loading plugin: done.
% 0.14/0.54 % % ------ Current options:
% 0.14/0.54
% 0.14/0.54 % ------ Input Options
% 0.14/0.54
% 0.14/0.54 % --out_options all
% 0.14/0.54 % --tptp_safe_out true
% 0.14/0.54 % --problem_path ""
% 0.14/0.54 % --include_path ""
% 0.14/0.54 % --clausifier .//eprover
% 0.14/0.54 % --clausifier_options --tstp-format
% 0.14/0.54 % --stdin false
% 0.14/0.54 % --dbg_backtrace false
% 0.14/0.54 % --dbg_dump_prop_clauses false
% 0.14/0.54 % --dbg_dump_prop_clauses_file -
% 0.14/0.54 % --dbg_out_stat false
% 0.14/0.54
% 0.14/0.54 % ------ General Options
% 0.14/0.54
% 0.14/0.54 % --fof false
% 0.14/0.54 % --time_out_real 150.
% 0.14/0.54 % --time_out_prep_mult 0.2
% 0.14/0.54 % --time_out_virtual -1.
% 0.14/0.54 % --schedule none
% 0.14/0.54 % --ground_splitting input
% 0.14/0.54 % --splitting_nvd 16
% 0.14/0.54 % --non_eq_to_eq false
% 0.14/0.54 % --prep_gs_sim true
% 0.14/0.54 % --prep_unflatten false
% 0.14/0.54 % --prep_res_sim true
% 0.14/0.54 % --prep_upred true
% 0.14/0.54 % --res_sim_input true
% 0.14/0.54 % --clause_weak_htbl true
% 0.14/0.54 % --gc_record_bc_elim false
% 0.14/0.54 % --symbol_type_check false
% 0.14/0.54 % --clausify_out false
% 0.14/0.54 % --large_theory_mode false
% 0.14/0.54 % --prep_sem_filter none
% 0.14/0.54 % --prep_sem_filter_out false
% 0.14/0.54 % --preprocessed_out false
% 0.14/0.54 % --sub_typing false
% 0.14/0.54 % --brand_transform false
% 0.14/0.54 % --pure_diseq_elim true
% 0.14/0.54 % --min_unsat_core false
% 0.14/0.54 % --pred_elim true
% 0.14/0.54 % --add_important_lit false
% 0.14/0.54 % --soft_assumptions false
% 0.14/0.54 % --reset_solvers false
% 0.14/0.54 % --bc_imp_inh []
% 0.14/0.54 % --conj_cone_tolerance 1.5
% 0.14/0.54 % --prolific_symb_bound 500
% 0.14/0.54 % --lt_threshold 2000
% 0.14/0.54
% 0.14/0.54 % ------ SAT Options
% 0.14/0.54
% 0.14/0.54 % --sat_mode false
% 0.14/0.54 % --sat_fm_restart_options ""
% 0.14/0.54 % --sat_gr_def false
% 0.14/0.54 % --sat_epr_types true
% 0.14/0.54 % --sat_non_cyclic_types false
% 0.14/0.54 % --sat_finite_models false
% 0.14/0.54 % --sat_fm_lemmas false
% 0.14/0.54 % --sat_fm_prep false
% 0.14/0.54 % --sat_fm_uc_incr true
% 0.14/0.54 % --sat_out_model small
% 0.14/0.54 % --sat_out_clauses false
% 0.14/0.54
% 0.14/0.54 % ------ QBF Options
% 0.14/0.54
% 0.14/0.54 % --qbf_mode false
% 0.14/0.54 % --qbf_elim_univ true
% 0.14/0.54 % --qbf_sk_in true
% 0.14/0.54 % --qbf_pred_elim true
% 0.14/0.54 % --qbf_split 32
% 0.14/0.54
% 0.14/0.54 % ------ BMC1 Options
% 0.14/0.54
% 0.14/0.54 % --bmc1_incremental false
% 0.14/0.54 % --bmc1_axioms reachable_all
% 0.14/0.54 % --bmc1_min_bound 0
% 0.14/0.54 % --bmc1_max_bound -1
% 0.14/0.54 % --bmc1_max_bound_default -1
% 0.14/0.54 % --bmc1_symbol_reachability true
% 0.14/0.54 % --bmc1_property_lemmas false
% 0.14/0.54 % --bmc1_k_induction false
% 0.14/0.54 % --bmc1_non_equiv_states false
% 0.14/0.54 % --bmc1_deadlock false
% 0.14/0.54 % --bmc1_ucm false
% 0.14/0.54 % --bmc1_add_unsat_core none
% 0.14/0.54 % --bmc1_unsat_core_children false
% 0.14/0.54 % --bmc1_unsat_core_extrapolate_axioms false
% 0.14/0.54 % --bmc1_out_stat full
% 0.14/0.54 % --bmc1_ground_init false
% 0.14/0.54 % --bmc1_pre_inst_next_state false
% 0.14/0.54 % --bmc1_pre_inst_state false
% 0.14/0.54 % --bmc1_pre_inst_reach_state false
% 0.14/0.54 % --bmc1_out_unsat_core false
% 0.14/0.54 % --bmc1_aig_witness_out false
% 0.14/0.54 % --bmc1_verbose false
% 0.14/0.54 % --bmc1_dump_clauses_tptp false
% 0.14/0.54 % --bmc1_dump_unsat_core_tptp false
% 0.14/0.54 % --bmc1_dump_file -
% 0.14/0.54 % --bmc1_ucm_expand_uc_limit 128
% 0.14/0.54 % --bmc1_ucm_n_expand_iterations 6
% 0.14/0.54 % --bmc1_ucm_extend_mode 1
% 0.14/0.54 % --bmc1_ucm_init_mode 2
% 0.14/0.54 % --bmc1_ucm_cone_mode none
% 0.14/0.54 % --bmc1_ucm_reduced_relation_type 0
% 0.14/0.54 % --bmc1_ucm_relax_model 4
% 0.14/0.54 % --bmc1_ucm_full_tr_after_sat true
% 0.14/0.54 % --bmc1_ucm_expand_neg_assumptions false
% 0.14/0.54 % --bmc1_ucm_layered_model none
% 0.14/0.54 % --bmc1_ucm_max_lemma_size 10
% 0.14/0.54
% 0.14/0.54 % ------ AIG Options
% 0.14/0.54
% 0.14/0.54 % --aig_mode false
% 0.14/0.54
% 0.14/0.54 % ------ Instantiation Options
% 0.14/0.54
% 0.14/0.54 % --instantiation_flag true
% 0.14/0.54 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.14/0.54 % --inst_solver_per_active 750
% 0.14/0.54 % --inst_solver_calls_frac 0.5
% 0.14/0.54 % --inst_passive_queue_type priority_queues
% 0.14/0.54 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.14/0.54 % --inst_passive_queues_freq [25;2]
% 0.14/0.54 % --inst_dismatching true
% 0.62/0.87 % --inst_eager_unprocessed_to_passive true
% 0.62/0.87 % --inst_prop_sim_given true
% 0.62/0.87 % --inst_prop_sim_new false
% 0.62/0.87 % --inst_orphan_elimination true
% 0.62/0.87 % --inst_learning_loop_flag true
% 0.62/0.87 % --inst_learning_start 3000
% 0.62/0.87 % --inst_learning_factor 2
% 0.62/0.87 % --inst_start_prop_sim_after_learn 3
% 0.62/0.87 % --inst_sel_renew solver
% 0.62/0.87 % --inst_lit_activity_flag true
% 0.62/0.87 % --inst_out_proof true
% 0.62/0.87
% 0.62/0.87 % ------ Resolution Options
% 0.62/0.87
% 0.62/0.87 % --resolution_flag true
% 0.62/0.87 % --res_lit_sel kbo_max
% 0.62/0.87 % --res_to_prop_solver none
% 0.62/0.87 % --res_prop_simpl_new false
% 0.62/0.87 % --res_prop_simpl_given false
% 0.62/0.87 % --res_passive_queue_type priority_queues
% 0.62/0.87 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.62/0.87 % --res_passive_queues_freq [15;5]
% 0.62/0.87 % --res_forward_subs full
% 0.62/0.87 % --res_backward_subs full
% 0.62/0.87 % --res_forward_subs_resolution true
% 0.62/0.87 % --res_backward_subs_resolution true
% 0.62/0.87 % --res_orphan_elimination false
% 0.62/0.87 % --res_time_limit 1000.
% 0.62/0.87 % --res_out_proof true
% 0.62/0.87 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_4003fe.s
% 0.62/0.87 % --modulo true
% 0.62/0.87
% 0.62/0.87 % ------ Combination Options
% 0.62/0.87
% 0.62/0.87 % --comb_res_mult 1000
% 0.62/0.87 % --comb_inst_mult 300
% 0.62/0.87 % ------
% 0.62/0.87
% 0.62/0.87
% 0.62/0.87
% 0.62/0.87 % ------ Proving...
% 0.62/0.87 %
% 0.62/0.87
% 0.62/0.87
% 0.62/0.87 % ------ Statistics
% 0.62/0.87
% 0.62/0.87 % ------ General
% 0.62/0.87
% 0.62/0.87 % num_of_input_clauses: 70
% 0.62/0.87 % num_of_input_neg_conjectures: 6
% 0.62/0.87 % num_of_splits: 0
% 0.62/0.87 % num_of_split_atoms: 0
% 0.62/0.87 % num_of_sem_filtered_clauses: 0
% 0.62/0.87 % num_of_subtypes: 0
% 0.62/0.87 % monotx_restored_types: 0
% 0.62/0.87 % sat_num_of_epr_types: 0
% 0.62/0.87 % sat_num_of_non_cyclic_types: 0
% 0.62/0.87 % sat_guarded_non_collapsed_types: 0
% 0.62/0.87 % is_epr: 0
% 0.62/0.87 % is_horn: 0
% 0.62/0.87 % has_eq: 1
% 0.62/0.87 % num_pure_diseq_elim: 0
% 0.62/0.87 % simp_replaced_by: 0
% 0.62/0.87 % res_preprocessed: 12
% 0.62/0.87 % prep_upred: 0
% 0.62/0.87 % prep_unflattend: 0
% 0.62/0.87 % pred_elim_cands: 0
% 0.62/0.87 % pred_elim: 0
% 0.62/0.87 % pred_elim_cl: 0
% 0.62/0.87 % pred_elim_cycles: 0
% 0.62/0.87 % forced_gc_time: 0
% 0.62/0.87 % gc_basic_clause_elim: 0
% 0.62/0.87 % parsing_time: 0.001
% 0.62/0.87 % sem_filter_time: 0.
% 0.62/0.87 % pred_elim_time: 0.
% 0.62/0.87 % out_proof_time: 0.
% 0.62/0.87 % monotx_time: 0.
% 0.62/0.87 % subtype_inf_time: 0.
% 0.62/0.87 % unif_index_cands_time: 0.001
% 0.62/0.87 % unif_index_add_time: 0.001
% 0.62/0.87 % total_time: 0.524
% 0.62/0.87 % num_of_symbols: 54
% 0.62/0.87 % num_of_terms: 1372
% 0.62/0.87
% 0.62/0.87 % ------ Propositional Solver
% 0.62/0.87
% 0.62/0.87 % prop_solver_calls: 5
% 0.62/0.87 % prop_fast_solver_calls: 18
% 0.62/0.87 % prop_num_of_clauses: 441
% 0.62/0.87 % prop_preprocess_simplified: 769
% 0.62/0.87 % prop_fo_subsumed: 0
% 0.62/0.87 % prop_solver_time: 0.
% 0.62/0.87 % prop_fast_solver_time: 0.
% 0.62/0.87 % prop_unsat_core_time: 0.
% 0.62/0.87
% 0.62/0.87 % ------ QBF
% 0.62/0.87
% 0.62/0.87 % qbf_q_res: 0
% 0.62/0.87 % qbf_num_tautologies: 0
% 0.62/0.87 % qbf_prep_cycles: 0
% 0.62/0.87
% 0.62/0.87 % ------ BMC1
% 0.62/0.87
% 0.62/0.87 % bmc1_current_bound: -1
% 0.62/0.87 % bmc1_last_solved_bound: -1
% 0.62/0.87 % bmc1_unsat_core_size: -1
% 0.62/0.87 % bmc1_unsat_core_parents_size: -1
% 0.62/0.87 % bmc1_merge_next_fun: 0
% 0.62/0.87 % bmc1_unsat_core_clauses_time: 0.
% 0.62/0.87
% 0.62/0.87 % ------ Instantiation
% 0.62/0.87
% 0.62/0.87 % inst_num_of_clauses: 298
% 0.62/0.87 % inst_num_in_passive: 74
% 0.62/0.87 % inst_num_in_active: 174
% 0.62/0.87 % inst_num_in_unprocessed: 32
% 0.62/0.87 % inst_num_of_loops: 193
% 0.62/0.87 % inst_num_of_learning_restarts: 0
% 0.62/0.87 % inst_num_moves_active_passive: 0
% 0.62/0.87 % inst_lit_activity: 39
% 0.62/0.87 % inst_lit_activity_moves: 0
% 0.62/0.87 % inst_num_tautologies: 16
% 0.62/0.87 % inst_num_prop_implied: 0
% 0.62/0.87 % inst_num_existing_simplified: 0
% 0.62/0.87 % inst_num_eq_res_simplified: 0
% 0.62/0.87 % inst_num_child_elim: 0
% 0.62/0.87 % inst_num_of_dismatching_blockings: 5
% 0.62/0.87 % inst_num_of_non_proper_insts: 267
% 0.62/0.87 % inst_num_of_duplicates: 162
% 0.62/0.87 % inst_inst_num_from_inst_to_res: 0
% 0.62/0.87 % inst_dismatching_checking_time: 0.
% 0.62/0.87
% 0.62/0.87 % ------ Resolution
% 0.62/0.87
% 0.62/0.87 % res_num_of_clauses: 1460
% 0.62/0.87 % res_num_in_passive: 617
% 0.62/0.87 % res_num_in_active: 804
% 0.62/0.87 % res_num_of_loops: 1000
% 0.62/0.87 % res_forward_subset_subsumed: 128
% 0.62/0.87 % res_backward_subset_subsumed: 0
% 0.62/0.87 % res_forward_subsumed: 225
% 0.62/0.87 % res_backward_subsumed: 0
% 0.62/0.87 % res_forward_subsumption_resolution: 1
% 0.62/0.87 % res_backward_subsumption_resolution: 0
% 0.62/0.87 % res_clause_to_clause_subsumption: 35060
% 0.62/0.87 % res_orphan_elimination: 0
% 0.62/0.87 % res_tautology_del: 16
% 0.62/0.87 % res_num_eq_res_simplified: 0
% 0.62/0.87 % res_num_sel_changes: 0
% 0.62/0.87 % res_moves_from_active_to_pass: 0
% 0.62/0.87
% 0.62/0.87 % Status Unsatisfiable
% 0.62/0.87 % SZS status Theorem
% 0.62/0.87 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------