TSTP Solution File: NUN062+1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : NUN062+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n029.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 16:29:14 EDT 2022

% Result   : Theorem 150.32s 150.70s
% Output   : CNFRefutation 150.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  373 (  78 unt;   0 def)
%            Number of atoms       : 1140 (   0 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives : 1439 ( 672   ~; 660   |; 107   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   43 (  43 usr;   3 con; 0-2 aty)
%            Number of variables   : 1100 ( 165 sgn 148   !;  46   ?)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
    ! [X32,X33,X34,X35,X36,X37] :
      ( ~ id(X32,X35)
      | ~ id(X33,X36)
      | ~ id(X34,X37)
      | ( ~ r4(X32,X33,X34)
        & ~ r4(X35,X36,X37) )
      | ( r4(X32,X33,X34)
        & r4(X35,X36,X37) ) ),
    file('<stdin>',axiom_11) ).

fof(c_0_1,axiom,
    ! [X26,X27,X28,X29,X30,X31] :
      ( ~ id(X26,X29)
      | ~ id(X27,X30)
      | ~ id(X28,X31)
      | ( ~ r3(X26,X27,X28)
        & ~ r3(X29,X30,X31) )
      | ( r3(X26,X27,X28)
        & r3(X29,X30,X31) ) ),
    file('<stdin>',axiom_10) ).

fof(c_0_2,axiom,
    ! [X10,X11] :
    ? [X12] :
    ! [X13] :
      ( ( id(X13,X12)
        & r4(X10,X11,X13) )
      | ( ~ r4(X10,X11,X13)
        & ~ id(X13,X12) ) ),
    file('<stdin>',axiom_4) ).

fof(c_0_3,axiom,
    ! [X6,X7] :
    ? [X8] :
    ! [X9] :
      ( ( id(X9,X8)
        & r3(X6,X7,X9) )
      | ( ~ r3(X6,X7,X9)
        & ~ id(X9,X8) ) ),
    file('<stdin>',axiom_3) ).

fof(c_0_4,axiom,
    ! [X44,X45] :
    ? [X46] :
      ( ? [X47] :
          ( id(X47,X46)
          & ? [X48] :
              ( r2(X45,X48)
              & r4(X44,X48,X47) ) )
      & ? [X49] :
          ( r3(X49,X44,X46)
          & r4(X44,X45,X49) ) ),
    file('<stdin>',axiom_2a) ).

fof(c_0_5,axiom,
    ! [X38,X39] :
    ? [X40] :
      ( ? [X41] :
          ( id(X41,X40)
          & ? [X42] :
              ( r2(X39,X42)
              & r3(X38,X42,X41) ) )
      & ? [X43] :
          ( r2(X43,X40)
          & r3(X38,X39,X43) ) ),
    file('<stdin>',axiom_1a) ).

fof(c_0_6,axiom,
    ! [X50,X51] :
      ( ! [X52] :
          ( ! [X53] :
              ( ~ id(X53,X52)
              | ~ r2(X50,X53) )
          | ~ r2(X51,X52) )
      | id(X50,X51) ),
    file('<stdin>',axiom_3a) ).

fof(c_0_7,axiom,
    ! [X22,X23,X24,X25] :
      ( ~ id(X22,X24)
      | ~ id(X23,X25)
      | ( ~ r2(X22,X23)
        & ~ r2(X24,X25) )
      | ( r2(X22,X23)
        & r2(X24,X25) ) ),
    file('<stdin>',axiom_9) ).

fof(c_0_8,axiom,
    ! [X57] :
    ? [X58] :
      ( ? [X59] :
          ( r1(X59)
          & r4(X57,X59,X58) )
      & ? [X60] :
          ( id(X58,X60)
          & r1(X60) ) ),
    file('<stdin>',axiom_5a) ).

fof(c_0_9,axiom,
    ! [X54] :
    ? [X55] :
      ( id(X55,X54)
      & ? [X56] :
          ( r1(X56)
          & r3(X54,X56,X55) ) ),
    file('<stdin>',axiom_4a) ).

fof(c_0_10,axiom,
    ! [X17,X18,X19] :
      ( ~ id(X17,X18)
      | id(X17,X19)
      | ~ id(X18,X19) ),
    file('<stdin>',axiom_7) ).

fof(c_0_11,axiom,
    ! [X3] :
    ? [X4] :
    ! [X5] :
      ( ( id(X5,X4)
        & r2(X3,X5) )
      | ( ~ r2(X3,X5)
        & ~ id(X5,X4) ) ),
    file('<stdin>',axiom_2) ).

fof(c_0_12,axiom,
    ! [X65,X66] :
      ( ! [X67] :
          ( ~ id(X67,X66)
          | ~ r1(X67) )
      | ~ r2(X65,X66) ),
    file('<stdin>',axiom_7a) ).

fof(c_0_13,axiom,
    ! [X61] :
      ( ? [X62] :
          ( id(X61,X62)
          & r1(X62) )
      | ? [X63,X64] :
          ( id(X61,X64)
          & r2(X63,X64) ) ),
    file('<stdin>',axiom_6a) ).

fof(c_0_14,axiom,
    ! [X15,X16] :
      ( ~ id(X15,X16)
      | id(X16,X15) ),
    file('<stdin>',axiom_6) ).

fof(c_0_15,axiom,
    ! [X20,X21] :
      ( ~ id(X20,X21)
      | ( ~ r1(X20)
        & ~ r1(X21) )
      | ( r1(X20)
        & r1(X21) ) ),
    file('<stdin>',axiom_8) ).

fof(c_0_16,axiom,
    ? [X1] :
    ! [X2] :
      ( ( id(X2,X1)
        & r1(X2) )
      | ( ~ r1(X2)
        & ~ id(X2,X1) ) ),
    file('<stdin>',axiom_1) ).

fof(c_0_17,axiom,
    ! [X14] : id(X14,X14),
    file('<stdin>',axiom_5) ).

fof(c_0_18,plain,
    ! [X32,X33,X34,X35,X36,X37] :
      ( ~ id(X32,X35)
      | ~ id(X33,X36)
      | ~ id(X34,X37)
      | ( ~ r4(X32,X33,X34)
        & ~ r4(X35,X36,X37) )
      | ( r4(X32,X33,X34)
        & r4(X35,X36,X37) ) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_19,plain,
    ! [X26,X27,X28,X29,X30,X31] :
      ( ~ id(X26,X29)
      | ~ id(X27,X30)
      | ~ id(X28,X31)
      | ( ~ r3(X26,X27,X28)
        & ~ r3(X29,X30,X31) )
      | ( r3(X26,X27,X28)
        & r3(X29,X30,X31) ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_20,plain,
    ! [X10,X11] :
    ? [X12] :
    ! [X13] :
      ( ( id(X13,X12)
        & r4(X10,X11,X13) )
      | ( ~ r4(X10,X11,X13)
        & ~ id(X13,X12) ) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_21,plain,
    ! [X6,X7] :
    ? [X8] :
    ! [X9] :
      ( ( id(X9,X8)
        & r3(X6,X7,X9) )
      | ( ~ r3(X6,X7,X9)
        & ~ id(X9,X8) ) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_22,axiom,
    ! [X44,X45] :
    ? [X46] :
      ( ? [X47] :
          ( id(X47,X46)
          & ? [X48] :
              ( r2(X45,X48)
              & r4(X44,X48,X47) ) )
      & ? [X49] :
          ( r3(X49,X44,X46)
          & r4(X44,X45,X49) ) ),
    c_0_4 ).

fof(c_0_23,axiom,
    ! [X38,X39] :
    ? [X40] :
      ( ? [X41] :
          ( id(X41,X40)
          & ? [X42] :
              ( r2(X39,X42)
              & r3(X38,X42,X41) ) )
      & ? [X43] :
          ( r2(X43,X40)
          & r3(X38,X39,X43) ) ),
    c_0_5 ).

fof(c_0_24,plain,
    ! [X50,X51] :
      ( ! [X52] :
          ( ! [X53] :
              ( ~ id(X53,X52)
              | ~ r2(X50,X53) )
          | ~ r2(X51,X52) )
      | id(X50,X51) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_25,plain,
    ! [X22,X23,X24,X25] :
      ( ~ id(X22,X24)
      | ~ id(X23,X25)
      | ( ~ r2(X22,X23)
        & ~ r2(X24,X25) )
      | ( r2(X22,X23)
        & r2(X24,X25) ) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_26,axiom,
    ! [X57] :
    ? [X58] :
      ( ? [X59] :
          ( r1(X59)
          & r4(X57,X59,X58) )
      & ? [X60] :
          ( id(X58,X60)
          & r1(X60) ) ),
    c_0_8 ).

fof(c_0_27,axiom,
    ! [X54] :
    ? [X55] :
      ( id(X55,X54)
      & ? [X56] :
          ( r1(X56)
          & r3(X54,X56,X55) ) ),
    c_0_9 ).

fof(c_0_28,plain,
    ! [X17,X18,X19] :
      ( ~ id(X17,X18)
      | id(X17,X19)
      | ~ id(X18,X19) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_29,plain,
    ! [X3] :
    ? [X4] :
    ! [X5] :
      ( ( id(X5,X4)
        & r2(X3,X5) )
      | ( ~ r2(X3,X5)
        & ~ id(X5,X4) ) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_30,plain,
    ! [X65,X66] :
      ( ! [X67] :
          ( ~ id(X67,X66)
          | ~ r1(X67) )
      | ~ r2(X65,X66) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_31,axiom,
    ! [X61] :
      ( ? [X62] :
          ( id(X61,X62)
          & r1(X62) )
      | ? [X63,X64] :
          ( id(X61,X64)
          & r2(X63,X64) ) ),
    c_0_13 ).

fof(c_0_32,plain,
    ! [X15,X16] :
      ( ~ id(X15,X16)
      | id(X16,X15) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_33,plain,
    ! [X20,X21] :
      ( ~ id(X20,X21)
      | ( ~ r1(X20)
        & ~ r1(X21) )
      | ( r1(X20)
        & r1(X21) ) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_34,plain,
    ? [X1] :
    ! [X2] :
      ( ( id(X2,X1)
        & r1(X2) )
      | ( ~ r1(X2)
        & ~ id(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_35,axiom,
    ! [X14] : id(X14,X14),
    c_0_17 ).

fof(c_0_36,plain,
    ! [X38,X39,X40,X41,X42,X43] :
      ( ( r4(X38,X39,X40)
        | ~ r4(X38,X39,X40)
        | ~ id(X40,X43)
        | ~ id(X39,X42)
        | ~ id(X38,X41) )
      & ( r4(X41,X42,X43)
        | ~ r4(X38,X39,X40)
        | ~ id(X40,X43)
        | ~ id(X39,X42)
        | ~ id(X38,X41) )
      & ( r4(X38,X39,X40)
        | ~ r4(X41,X42,X43)
        | ~ id(X40,X43)
        | ~ id(X39,X42)
        | ~ id(X38,X41) )
      & ( r4(X41,X42,X43)
        | ~ r4(X41,X42,X43)
        | ~ id(X40,X43)
        | ~ id(X39,X42)
        | ~ id(X38,X41) ) ),
    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_37,plain,
    ! [X32,X33,X34,X35,X36,X37] :
      ( ( r3(X32,X33,X34)
        | ~ r3(X32,X33,X34)
        | ~ id(X34,X37)
        | ~ id(X33,X36)
        | ~ id(X32,X35) )
      & ( r3(X35,X36,X37)
        | ~ r3(X32,X33,X34)
        | ~ id(X34,X37)
        | ~ id(X33,X36)
        | ~ id(X32,X35) )
      & ( r3(X32,X33,X34)
        | ~ r3(X35,X36,X37)
        | ~ id(X34,X37)
        | ~ id(X33,X36)
        | ~ id(X32,X35) )
      & ( r3(X35,X36,X37)
        | ~ r3(X35,X36,X37)
        | ~ id(X34,X37)
        | ~ id(X33,X36)
        | ~ id(X32,X35) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_19])])])]) ).

fof(c_0_38,plain,
    ! [X14,X15,X17] :
      ( ( ~ r4(X14,X15,X17)
        | id(X17,esk4_2(X14,X15)) )
      & ( ~ id(X17,esk4_2(X14,X15))
        | id(X17,esk4_2(X14,X15)) )
      & ( ~ r4(X14,X15,X17)
        | r4(X14,X15,X17) )
      & ( ~ id(X17,esk4_2(X14,X15))
        | r4(X14,X15,X17) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_20])])]) ).

fof(c_0_39,plain,
    ! [X10,X11,X13] :
      ( ( ~ r3(X10,X11,X13)
        | id(X13,esk3_2(X10,X11)) )
      & ( ~ id(X13,esk3_2(X10,X11))
        | id(X13,esk3_2(X10,X11)) )
      & ( ~ r3(X10,X11,X13)
        | r3(X10,X11,X13) )
      & ( ~ id(X13,esk3_2(X10,X11))
        | r3(X10,X11,X13) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_21])])]) ).

fof(c_0_40,plain,
    ! [X50,X51] :
      ( id(esk10_2(X50,X51),esk9_2(X50,X51))
      & r2(X51,esk11_2(X50,X51))
      & r4(X50,esk11_2(X50,X51),esk10_2(X50,X51))
      & r3(esk12_2(X50,X51),X50,esk9_2(X50,X51))
      & r4(X50,X51,esk12_2(X50,X51)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_22])]) ).

fof(c_0_41,plain,
    ! [X44,X45] :
      ( id(esk6_2(X44,X45),esk5_2(X44,X45))
      & r2(X45,esk7_2(X44,X45))
      & r3(X44,esk7_2(X44,X45),esk6_2(X44,X45))
      & r2(esk8_2(X44,X45),esk5_2(X44,X45))
      & r3(X44,X45,esk8_2(X44,X45)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_23])]) ).

fof(c_0_42,plain,
    ! [X54,X55,X56,X57] :
      ( ~ id(X57,X56)
      | ~ r2(X54,X57)
      | ~ r2(X55,X56)
      | id(X54,X55) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_24])]) ).

fof(c_0_43,plain,
    ! [X26,X27,X28,X29] :
      ( ( r2(X26,X27)
        | ~ r2(X26,X27)
        | ~ id(X27,X29)
        | ~ id(X26,X28) )
      & ( r2(X28,X29)
        | ~ r2(X26,X27)
        | ~ id(X27,X29)
        | ~ id(X26,X28) )
      & ( r2(X26,X27)
        | ~ r2(X28,X29)
        | ~ id(X27,X29)
        | ~ id(X26,X28) )
      & ( r2(X28,X29)
        | ~ r2(X28,X29)
        | ~ id(X27,X29)
        | ~ id(X26,X28) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_25])])])]) ).

fof(c_0_44,plain,
    ! [X61] :
      ( r1(esk16_1(X61))
      & r4(X61,esk16_1(X61),esk15_1(X61))
      & id(esk15_1(X61),esk17_1(X61))
      & r1(esk17_1(X61)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_26])]) ).

fof(c_0_45,plain,
    ! [X57] :
      ( id(esk13_1(X57),X57)
      & r1(esk14_1(X57))
      & r3(X57,esk14_1(X57),esk13_1(X57)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_27])]) ).

fof(c_0_46,plain,
    ! [X20,X21,X22] :
      ( ~ id(X20,X21)
      | id(X20,X22)
      | ~ id(X21,X22) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_28])])]) ).

fof(c_0_47,plain,
    ! [X6,X8] :
      ( ( ~ r2(X6,X8)
        | id(X8,esk2_1(X6)) )
      & ( ~ id(X8,esk2_1(X6))
        | id(X8,esk2_1(X6)) )
      & ( ~ r2(X6,X8)
        | r2(X6,X8) )
      & ( ~ id(X8,esk2_1(X6))
        | r2(X6,X8) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_29])])]) ).

fof(c_0_48,plain,
    ! [X68,X69,X70] :
      ( ~ id(X70,X69)
      | ~ r1(X70)
      | ~ r2(X68,X69) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_30])]) ).

fof(c_0_49,plain,
    ! [X65] :
      ( ( id(X65,esk20_1(X65))
        | id(X65,esk18_1(X65)) )
      & ( r2(esk19_1(X65),esk20_1(X65))
        | id(X65,esk18_1(X65)) )
      & ( id(X65,esk20_1(X65))
        | r1(esk18_1(X65)) )
      & ( r2(esk19_1(X65),esk20_1(X65))
        | r1(esk18_1(X65)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_31])])]) ).

fof(c_0_50,plain,
    ! [X17,X18] :
      ( ~ id(X17,X18)
      | id(X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_32]) ).

fof(c_0_51,plain,
    ! [X22,X23] :
      ( ( r1(X22)
        | ~ r1(X22)
        | ~ id(X22,X23) )
      & ( r1(X23)
        | ~ r1(X22)
        | ~ id(X22,X23) )
      & ( r1(X22)
        | ~ r1(X23)
        | ~ id(X22,X23) )
      & ( r1(X23)
        | ~ r1(X23)
        | ~ id(X22,X23) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_33])]) ).

fof(c_0_52,plain,
    ! [X4] :
      ( ( ~ r1(X4)
        | id(X4,esk1_0) )
      & ( ~ id(X4,esk1_0)
        | id(X4,esk1_0) )
      & ( ~ r1(X4)
        | r1(X4) )
      & ( ~ id(X4,esk1_0)
        | r1(X4) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_34])])]) ).

fof(c_0_53,plain,
    ! [X15] : id(X15,X15),
    inference(variable_rename,[status(thm)],[c_0_35]) ).

cnf(c_0_54,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_36]) ).

cnf(c_0_55,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_36]) ).

cnf(c_0_56,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_36]) ).

cnf(c_0_57,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_36]) ).

cnf(c_0_58,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_37]) ).

cnf(c_0_59,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_37]) ).

cnf(c_0_60,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_37]) ).

cnf(c_0_61,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_37]) ).

cnf(c_0_62,plain,
    ( r4(X1,X2,X3)
    | ~ r4(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_63,plain,
    ( r3(X1,X2,X3)
    | ~ r3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_64,plain,
    ( id(X1,esk4_2(X2,X3))
    | ~ r4(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_65,plain,
    ( id(X1,esk3_2(X2,X3))
    | ~ r3(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_66,plain,
    ( r4(X1,X2,X3)
    | ~ id(X3,esk4_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_67,plain,
    ( r3(X1,X2,X3)
    | ~ id(X3,esk3_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_68,plain,
    r4(X1,esk11_2(X1,X2),esk10_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_69,plain,
    r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_70,plain,
    r3(X1,esk7_2(X1,X2),esk6_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_71,plain,
    ( id(X1,esk4_2(X2,X3))
    | ~ id(X1,esk4_2(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_72,plain,
    ( id(X1,esk3_2(X2,X3))
    | ~ id(X1,esk3_2(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_73,plain,
    ( id(X1,X2)
    | ~ r2(X2,X3)
    | ~ r2(X1,X4)
    | ~ id(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_74,plain,
    ( r2(X1,X3)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ r2(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_75,plain,
    ( r2(X2,X4)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ r2(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_76,plain,
    ( r2(X1,X3)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ r2(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_77,plain,
    ( r2(X2,X4)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ r2(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_78,plain,
    r4(X1,X2,esk12_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_79,plain,
    r3(X1,X2,esk8_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_80,plain,
    r4(X1,esk16_1(X1),esk15_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_81,plain,
    r3(X1,esk14_1(X1),esk13_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_82,plain,
    id(esk10_2(X1,X2),esk9_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_83,plain,
    id(esk6_2(X1,X2),esk5_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_84,plain,
    r2(esk8_2(X1,X2),esk5_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_85,plain,
    ( id(X3,X2)
    | ~ id(X1,X2)
    | ~ id(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_86,plain,
    ( id(X1,esk2_1(X2))
    | ~ id(X1,esk2_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_87,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X3)
    | ~ id(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_88,plain,
    ( id(X1,esk18_1(X1))
    | r2(esk19_1(X1),esk20_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_89,plain,
    ( r2(X1,X2)
    | ~ id(X2,esk2_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_90,plain,
    ( id(X1,esk2_1(X2))
    | ~ r2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_91,plain,
    ( id(X1,esk18_1(X1))
    | id(X1,esk20_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_92,plain,
    r2(X1,esk11_2(X2,X1)),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_93,plain,
    r2(X1,esk7_2(X2,X1)),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_94,plain,
    ( r1(esk18_1(X1))
    | r2(esk19_1(X1),esk20_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_95,plain,
    ( id(X1,X2)
    | ~ id(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_96,plain,
    ( r2(X1,X2)
    | ~ r2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_97,plain,
    ( r1(X1)
    | ~ id(X1,X2)
    | ~ r1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_98,plain,
    ( r1(X2)
    | ~ id(X1,X2)
    | ~ r1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_99,plain,
    ( r1(X1)
    | ~ id(X1,X2)
    | ~ r1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_100,plain,
    ( r1(X2)
    | ~ id(X1,X2)
    | ~ r1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_101,plain,
    ( id(X1,esk1_0)
    | ~ id(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_102,plain,
    ( r1(esk18_1(X1))
    | id(X1,esk20_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_103,plain,
    id(esk15_1(X1),esk17_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_104,plain,
    ( r1(X1)
    | ~ id(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_105,plain,
    id(esk13_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_106,plain,
    ( id(X1,esk1_0)
    | ~ r1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_107,plain,
    id(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_108,plain,
    ( r1(X1)
    | ~ r1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_109,plain,
    r1(esk16_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_110,plain,
    r1(esk17_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_111,plain,
    r1(esk14_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_112,plain,
    ( r4(X1,X3,X5)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ id(X5,X6)
    | ~ r4(X1,X3,X5) ),
    c_0_54,
    [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_55,
    [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_56,
    [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_57,
    [final] ).

cnf(c_0_116,plain,
    ( r3(X1,X3,X5)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ id(X5,X6)
    | ~ r3(X1,X3,X5) ),
    c_0_58,
    [final] ).

cnf(c_0_117,plain,
    ( r3(X2,X4,X6)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ id(X5,X6)
    | ~ r3(X1,X3,X5) ),
    c_0_59,
    [final] ).

cnf(c_0_118,plain,
    ( r3(X1,X3,X5)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ id(X5,X6)
    | ~ r3(X2,X4,X6) ),
    c_0_60,
    [final] ).

cnf(c_0_119,plain,
    ( r3(X2,X4,X6)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ id(X5,X6)
    | ~ r3(X2,X4,X6) ),
    c_0_61,
    [final] ).

cnf(c_0_120,plain,
    ( r4(X1,X2,X3)
    | ~ r4(X1,X2,X3) ),
    c_0_62,
    [final] ).

cnf(c_0_121,plain,
    ( r3(X1,X2,X3)
    | ~ r3(X1,X2,X3) ),
    c_0_63,
    [final] ).

cnf(c_0_122,plain,
    ( id(X1,esk4_2(X2,X3))
    | ~ r4(X2,X3,X1) ),
    c_0_64,
    [final] ).

cnf(c_0_123,plain,
    ( id(X1,esk3_2(X2,X3))
    | ~ r3(X2,X3,X1) ),
    c_0_65,
    [final] ).

cnf(c_0_124,plain,
    ( r4(X1,X2,X3)
    | ~ id(X3,esk4_2(X1,X2)) ),
    c_0_66,
    [final] ).

cnf(c_0_125,plain,
    ( r3(X1,X2,X3)
    | ~ id(X3,esk3_2(X1,X2)) ),
    c_0_67,
    [final] ).

cnf(c_0_126,plain,
    r4(X1,esk11_2(X1,X2),esk10_2(X1,X2)),
    c_0_68,
    [final] ).

cnf(c_0_127,plain,
    r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
    c_0_69,
    [final] ).

cnf(c_0_128,plain,
    r3(X1,esk7_2(X1,X2),esk6_2(X1,X2)),
    c_0_70,
    [final] ).

cnf(c_0_129,plain,
    ( id(X1,esk4_2(X2,X3))
    | ~ id(X1,esk4_2(X2,X3)) ),
    c_0_71,
    [final] ).

cnf(c_0_130,plain,
    ( id(X1,esk3_2(X2,X3))
    | ~ id(X1,esk3_2(X2,X3)) ),
    c_0_72,
    [final] ).

cnf(c_0_131,plain,
    ( id(X1,X2)
    | ~ r2(X2,X3)
    | ~ r2(X1,X4)
    | ~ id(X4,X3) ),
    c_0_73,
    [final] ).

cnf(c_0_132,plain,
    ( r2(X1,X3)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ r2(X1,X3) ),
    c_0_74,
    [final] ).

cnf(c_0_133,plain,
    ( r2(X2,X4)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ r2(X1,X3) ),
    c_0_75,
    [final] ).

cnf(c_0_134,plain,
    ( r2(X1,X3)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ r2(X2,X4) ),
    c_0_76,
    [final] ).

cnf(c_0_135,plain,
    ( r2(X2,X4)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ r2(X2,X4) ),
    c_0_77,
    [final] ).

cnf(c_0_136,plain,
    r4(X1,X2,esk12_2(X1,X2)),
    c_0_78,
    [final] ).

cnf(c_0_137,plain,
    r3(X1,X2,esk8_2(X1,X2)),
    c_0_79,
    [final] ).

cnf(c_0_138,plain,
    r4(X1,esk16_1(X1),esk15_1(X1)),
    c_0_80,
    [final] ).

cnf(c_0_139,plain,
    r3(X1,esk14_1(X1),esk13_1(X1)),
    c_0_81,
    [final] ).

cnf(c_0_140,plain,
    id(esk10_2(X1,X2),esk9_2(X1,X2)),
    c_0_82,
    [final] ).

cnf(c_0_141,plain,
    id(esk6_2(X1,X2),esk5_2(X1,X2)),
    c_0_83,
    [final] ).

cnf(c_0_142,plain,
    r2(esk8_2(X1,X2),esk5_2(X1,X2)),
    c_0_84,
    [final] ).

cnf(c_0_143,plain,
    ( id(X3,X2)
    | ~ id(X1,X2)
    | ~ id(X3,X1) ),
    c_0_85,
    [final] ).

cnf(c_0_144,plain,
    ( id(X1,esk2_1(X2))
    | ~ id(X1,esk2_1(X2)) ),
    c_0_86,
    [final] ).

cnf(c_0_145,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X3)
    | ~ id(X3,X2) ),
    c_0_87,
    [final] ).

cnf(c_0_146,plain,
    ( id(X1,esk18_1(X1))
    | r2(esk19_1(X1),esk20_1(X1)) ),
    c_0_88,
    [final] ).

cnf(c_0_147,plain,
    ( r2(X1,X2)
    | ~ id(X2,esk2_1(X1)) ),
    c_0_89,
    [final] ).

cnf(c_0_148,plain,
    ( id(X1,esk2_1(X2))
    | ~ r2(X2,X1) ),
    c_0_90,
    [final] ).

cnf(c_0_149,plain,
    ( id(X1,esk18_1(X1))
    | id(X1,esk20_1(X1)) ),
    c_0_91,
    [final] ).

cnf(c_0_150,plain,
    r2(X1,esk11_2(X2,X1)),
    c_0_92,
    [final] ).

cnf(c_0_151,plain,
    r2(X1,esk7_2(X2,X1)),
    c_0_93,
    [final] ).

cnf(c_0_152,plain,
    ( r1(esk18_1(X1))
    | r2(esk19_1(X1),esk20_1(X1)) ),
    c_0_94,
    [final] ).

cnf(c_0_153,plain,
    ( id(X1,X2)
    | ~ id(X2,X1) ),
    c_0_95,
    [final] ).

cnf(c_0_154,plain,
    ( r2(X1,X2)
    | ~ r2(X1,X2) ),
    c_0_96,
    [final] ).

cnf(c_0_155,plain,
    ( r1(X1)
    | ~ id(X1,X2)
    | ~ r1(X1) ),
    c_0_97,
    [final] ).

cnf(c_0_156,plain,
    ( r1(X2)
    | ~ id(X1,X2)
    | ~ r1(X1) ),
    c_0_98,
    [final] ).

cnf(c_0_157,plain,
    ( r1(X1)
    | ~ id(X1,X2)
    | ~ r1(X2) ),
    c_0_99,
    [final] ).

cnf(c_0_158,plain,
    ( r1(X2)
    | ~ id(X1,X2)
    | ~ r1(X2) ),
    c_0_100,
    [final] ).

cnf(c_0_159,plain,
    ( id(X1,esk1_0)
    | ~ id(X1,esk1_0) ),
    c_0_101,
    [final] ).

cnf(c_0_160,plain,
    ( r1(esk18_1(X1))
    | id(X1,esk20_1(X1)) ),
    c_0_102,
    [final] ).

cnf(c_0_161,plain,
    id(esk15_1(X1),esk17_1(X1)),
    c_0_103,
    [final] ).

cnf(c_0_162,plain,
    ( r1(X1)
    | ~ id(X1,esk1_0) ),
    c_0_104,
    [final] ).

cnf(c_0_163,plain,
    id(esk13_1(X1),X1),
    c_0_105,
    [final] ).

cnf(c_0_164,plain,
    ( id(X1,esk1_0)
    | ~ r1(X1) ),
    c_0_106,
    [final] ).

cnf(c_0_165,plain,
    id(X1,X1),
    c_0_107,
    [final] ).

cnf(c_0_166,plain,
    ( r1(X1)
    | ~ r1(X1) ),
    c_0_108,
    [final] ).

cnf(c_0_167,plain,
    r1(esk16_1(X1)),
    c_0_109,
    [final] ).

cnf(c_0_168,plain,
    r1(esk17_1(X1)),
    c_0_110,
    [final] ).

cnf(c_0_169,plain,
    r1(esk14_1(X1)),
    c_0_111,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
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,X3,X5)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ id(X5,X6)
    | ~ r3(X1,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_116]) ).

cnf(c_0_116_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_116]) ).

cnf(c_0_116_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_116]) ).

cnf(c_0_116_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_116]) ).

cnf(c_0_116_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_116]) ).

cnf(c_0_117_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_117]) ).

cnf(c_0_117_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_117]) ).

cnf(c_0_117_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_117]) ).

cnf(c_0_117_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_117]) ).

cnf(c_0_117_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_117]) ).

cnf(c_0_118_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_118]) ).

cnf(c_0_118_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_118]) ).

cnf(c_0_118_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_118]) ).

cnf(c_0_118_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_118]) ).

cnf(c_0_118_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_118]) ).

cnf(c_0_119_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_119]) ).

cnf(c_0_119_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_119]) ).

cnf(c_0_119_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_119]) ).

cnf(c_0_119_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_119]) ).

cnf(c_0_119_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_119]) ).

cnf(c_0_120_0,axiom,
    ( r4(X1,X2,X3)
    | ~ r4(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_120]) ).

cnf(c_0_120_1,axiom,
    ( ~ r4(X1,X2,X3)
    | r4(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_120]) ).

cnf(c_0_121_0,axiom,
    ( r3(X1,X2,X3)
    | ~ r3(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_121]) ).

cnf(c_0_121_1,axiom,
    ( ~ r3(X1,X2,X3)
    | r3(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_121]) ).

cnf(c_0_122_0,axiom,
    ( id(X1,sk1_esk4_2(X2,X3))
    | ~ r4(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_122]) ).

cnf(c_0_122_1,axiom,
    ( ~ r4(X2,X3,X1)
    | id(X1,sk1_esk4_2(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_122]) ).

cnf(c_0_123_0,axiom,
    ( id(X1,sk1_esk3_2(X2,X3))
    | ~ r3(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_123]) ).

cnf(c_0_123_1,axiom,
    ( ~ r3(X2,X3,X1)
    | id(X1,sk1_esk3_2(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_123]) ).

cnf(c_0_124_0,axiom,
    ( r4(X1,X2,X3)
    | ~ id(X3,sk1_esk4_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_124]) ).

cnf(c_0_124_1,axiom,
    ( ~ id(X3,sk1_esk4_2(X1,X2))
    | r4(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_124]) ).

cnf(c_0_125_0,axiom,
    ( r3(X1,X2,X3)
    | ~ id(X3,sk1_esk3_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_125]) ).

cnf(c_0_125_1,axiom,
    ( ~ id(X3,sk1_esk3_2(X1,X2))
    | r3(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_125]) ).

cnf(c_0_129_0,axiom,
    ( id(X1,sk1_esk4_2(X2,X3))
    | ~ id(X1,sk1_esk4_2(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_129]) ).

cnf(c_0_129_1,axiom,
    ( ~ id(X1,sk1_esk4_2(X2,X3))
    | id(X1,sk1_esk4_2(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_129]) ).

cnf(c_0_130_0,axiom,
    ( id(X1,sk1_esk3_2(X2,X3))
    | ~ id(X1,sk1_esk3_2(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_130]) ).

cnf(c_0_130_1,axiom,
    ( ~ id(X1,sk1_esk3_2(X2,X3))
    | id(X1,sk1_esk3_2(X2,X3)) ),
    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_132_0,axiom,
    ( r2(X1,X3)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ r2(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_132]) ).

cnf(c_0_132_1,axiom,
    ( ~ id(X1,X2)
    | r2(X1,X3)
    | ~ id(X3,X4)
    | ~ r2(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_132]) ).

cnf(c_0_132_2,axiom,
    ( ~ id(X3,X4)
    | ~ id(X1,X2)
    | r2(X1,X3)
    | ~ r2(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_132]) ).

cnf(c_0_132_3,axiom,
    ( ~ r2(X1,X3)
    | ~ id(X3,X4)
    | ~ id(X1,X2)
    | r2(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_132]) ).

cnf(c_0_133_0,axiom,
    ( r2(X2,X4)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ r2(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_133]) ).

cnf(c_0_133_1,axiom,
    ( ~ id(X1,X2)
    | r2(X2,X4)
    | ~ id(X3,X4)
    | ~ r2(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_133]) ).

cnf(c_0_133_2,axiom,
    ( ~ id(X3,X4)
    | ~ id(X1,X2)
    | r2(X2,X4)
    | ~ r2(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_133]) ).

cnf(c_0_133_3,axiom,
    ( ~ r2(X1,X3)
    | ~ id(X3,X4)
    | ~ id(X1,X2)
    | r2(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_133]) ).

cnf(c_0_134_0,axiom,
    ( r2(X1,X3)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ r2(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_134]) ).

cnf(c_0_134_1,axiom,
    ( ~ id(X1,X2)
    | r2(X1,X3)
    | ~ id(X3,X4)
    | ~ r2(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_134]) ).

cnf(c_0_134_2,axiom,
    ( ~ id(X3,X4)
    | ~ id(X1,X2)
    | r2(X1,X3)
    | ~ r2(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_134]) ).

cnf(c_0_134_3,axiom,
    ( ~ r2(X2,X4)
    | ~ id(X3,X4)
    | ~ id(X1,X2)
    | r2(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_134]) ).

cnf(c_0_135_0,axiom,
    ( r2(X2,X4)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ r2(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_135]) ).

cnf(c_0_135_1,axiom,
    ( ~ id(X1,X2)
    | r2(X2,X4)
    | ~ id(X3,X4)
    | ~ r2(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_135]) ).

cnf(c_0_135_2,axiom,
    ( ~ id(X3,X4)
    | ~ id(X1,X2)
    | r2(X2,X4)
    | ~ r2(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_135]) ).

cnf(c_0_135_3,axiom,
    ( ~ r2(X2,X4)
    | ~ id(X3,X4)
    | ~ id(X1,X2)
    | r2(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_135]) ).

cnf(c_0_143_0,axiom,
    ( id(X3,X2)
    | ~ id(X1,X2)
    | ~ id(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_143]) ).

cnf(c_0_143_1,axiom,
    ( ~ id(X1,X2)
    | id(X3,X2)
    | ~ id(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_143]) ).

cnf(c_0_143_2,axiom,
    ( ~ id(X3,X1)
    | ~ id(X1,X2)
    | id(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_143]) ).

cnf(c_0_144_0,axiom,
    ( id(X1,sk1_esk2_1(X2))
    | ~ id(X1,sk1_esk2_1(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_144]) ).

cnf(c_0_144_1,axiom,
    ( ~ id(X1,sk1_esk2_1(X2))
    | id(X1,sk1_esk2_1(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_144]) ).

cnf(c_0_145_0,axiom,
    ( ~ r2(X1,X2)
    | ~ r1(X3)
    | ~ id(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_145]) ).

cnf(c_0_145_1,axiom,
    ( ~ r1(X3)
    | ~ r2(X1,X2)
    | ~ id(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_145]) ).

cnf(c_0_145_2,axiom,
    ( ~ id(X3,X2)
    | ~ r1(X3)
    | ~ r2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_145]) ).

cnf(c_0_146_0,axiom,
    ( id(X1,sk1_esk18_1(X1))
    | r2(sk1_esk19_1(X1),sk1_esk20_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_146]) ).

cnf(c_0_146_1,axiom,
    ( r2(sk1_esk19_1(X1),sk1_esk20_1(X1))
    | id(X1,sk1_esk18_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_146]) ).

cnf(c_0_147_0,axiom,
    ( r2(X1,X2)
    | ~ id(X2,sk1_esk2_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_147]) ).

cnf(c_0_147_1,axiom,
    ( ~ id(X2,sk1_esk2_1(X1))
    | r2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_147]) ).

cnf(c_0_148_0,axiom,
    ( id(X1,sk1_esk2_1(X2))
    | ~ r2(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_1,axiom,
    ( ~ r2(X2,X1)
    | id(X1,sk1_esk2_1(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_149_0,axiom,
    ( id(X1,sk1_esk18_1(X1))
    | id(X1,sk1_esk20_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_1,axiom,
    ( id(X1,sk1_esk20_1(X1))
    | id(X1,sk1_esk18_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_152_0,axiom,
    ( r1(sk1_esk18_1(X1))
    | r2(sk1_esk19_1(X1),sk1_esk20_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_1,axiom,
    ( r2(sk1_esk19_1(X1),sk1_esk20_1(X1))
    | r1(sk1_esk18_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_153_0,axiom,
    ( id(X1,X2)
    | ~ id(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_1,axiom,
    ( ~ id(X2,X1)
    | id(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_154_0,axiom,
    ( r2(X1,X2)
    | ~ r2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_1,axiom,
    ( ~ r2(X1,X2)
    | r2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_155_0,axiom,
    ( r1(X1)
    | ~ id(X1,X2)
    | ~ r1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_1,axiom,
    ( ~ id(X1,X2)
    | r1(X1)
    | ~ r1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_2,axiom,
    ( ~ r1(X1)
    | ~ id(X1,X2)
    | r1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_156_0,axiom,
    ( r1(X2)
    | ~ id(X1,X2)
    | ~ r1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_1,axiom,
    ( ~ id(X1,X2)
    | r1(X2)
    | ~ r1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_2,axiom,
    ( ~ r1(X1)
    | ~ id(X1,X2)
    | r1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_157_0,axiom,
    ( r1(X1)
    | ~ id(X1,X2)
    | ~ r1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_1,axiom,
    ( ~ id(X1,X2)
    | r1(X1)
    | ~ r1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_2,axiom,
    ( ~ r1(X2)
    | ~ id(X1,X2)
    | r1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_158_0,axiom,
    ( r1(X2)
    | ~ id(X1,X2)
    | ~ r1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_158]) ).

cnf(c_0_158_1,axiom,
    ( ~ id(X1,X2)
    | r1(X2)
    | ~ r1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_158]) ).

cnf(c_0_158_2,axiom,
    ( ~ r1(X2)
    | ~ id(X1,X2)
    | r1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_158]) ).

cnf(c_0_159_0,axiom,
    ( id(X1,sk1_esk1_0)
    | ~ id(X1,sk1_esk1_0) ),
    inference(literals_permutation,[status(thm)],[c_0_159]) ).

cnf(c_0_159_1,axiom,
    ( ~ id(X1,sk1_esk1_0)
    | id(X1,sk1_esk1_0) ),
    inference(literals_permutation,[status(thm)],[c_0_159]) ).

cnf(c_0_160_0,axiom,
    ( r1(sk1_esk18_1(X1))
    | id(X1,sk1_esk20_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_1,axiom,
    ( id(X1,sk1_esk20_1(X1))
    | r1(sk1_esk18_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_162_0,axiom,
    ( r1(X1)
    | ~ id(X1,sk1_esk1_0) ),
    inference(literals_permutation,[status(thm)],[c_0_162]) ).

cnf(c_0_162_1,axiom,
    ( ~ id(X1,sk1_esk1_0)
    | r1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_162]) ).

cnf(c_0_164_0,axiom,
    ( id(X1,sk1_esk1_0)
    | ~ r1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_1,axiom,
    ( ~ r1(X1)
    | id(X1,sk1_esk1_0) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_166_0,axiom,
    ( r1(X1)
    | ~ r1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_166]) ).

cnf(c_0_166_1,axiom,
    ( ~ r1(X1)
    | r1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_166]) ).

cnf(c_0_126_0,axiom,
    r4(X1,sk1_esk11_2(X1,X2),sk1_esk10_2(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_126]) ).

cnf(c_0_127_0,axiom,
    r3(sk1_esk12_2(X1,X2),X1,sk1_esk9_2(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_127]) ).

cnf(c_0_128_0,axiom,
    r3(X1,sk1_esk7_2(X1,X2),sk1_esk6_2(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_128]) ).

cnf(c_0_136_0,axiom,
    r4(X1,X2,sk1_esk12_2(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_136]) ).

cnf(c_0_137_0,axiom,
    r3(X1,X2,sk1_esk8_2(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_137]) ).

cnf(c_0_138_0,axiom,
    r4(X1,sk1_esk16_1(X1),sk1_esk15_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_138]) ).

cnf(c_0_139_0,axiom,
    r3(X1,sk1_esk14_1(X1),sk1_esk13_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_139]) ).

cnf(c_0_140_0,axiom,
    id(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_140]) ).

cnf(c_0_141_0,axiom,
    id(sk1_esk6_2(X1,X2),sk1_esk5_2(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_141]) ).

cnf(c_0_142_0,axiom,
    r2(sk1_esk8_2(X1,X2),sk1_esk5_2(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_142]) ).

cnf(c_0_150_0,axiom,
    r2(X1,sk1_esk11_2(X2,X1)),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_151_0,axiom,
    r2(X1,sk1_esk7_2(X2,X1)),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_161_0,axiom,
    id(sk1_esk15_1(X1),sk1_esk17_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_161]) ).

cnf(c_0_163_0,axiom,
    id(sk1_esk13_1(X1),X1),
    inference(literals_permutation,[status(thm)],[c_0_163]) ).

cnf(c_0_165_0,axiom,
    id(X1,X1),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_167_0,axiom,
    r1(sk1_esk16_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_168_0,axiom,
    r1(sk1_esk17_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_169_0,axiom,
    r1(sk1_esk14_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ! [X1] :
    ? [X2,X3] :
      ( ! [X4] :
          ( ~ id(X3,X4)
          | ~ r1(X4) )
      & ? [X5] :
          ( id(X5,X2)
          & r3(X1,X3,X5) ) ),
    file('<stdin>',infiniteNumbersid) ).

fof(c_0_1_002,negated_conjecture,
    ~ ! [X1] :
      ? [X2,X3] :
        ( ! [X4] :
            ( ~ id(X3,X4)
            | ~ r1(X4) )
        & ? [X5] :
            ( id(X5,X2)
            & r3(X1,X3,X5) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).

fof(c_0_2_003,negated_conjecture,
    ! [X7,X8,X10] :
      ( ( id(X8,esk2_2(X7,X8))
        | ~ id(X10,X7)
        | ~ r3(esk1_0,X8,X10) )
      & ( r1(esk2_2(X7,X8))
        | ~ id(X10,X7)
        | ~ r3(esk1_0,X8,X10) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).

cnf(c_0_3_004,negated_conjecture,
    ( id(X1,esk2_2(X3,X1))
    | ~ r3(esk1_0,X1,X2)
    | ~ id(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_005,negated_conjecture,
    ( r1(esk2_2(X3,X1))
    | ~ r3(esk1_0,X1,X2)
    | ~ id(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_006,negated_conjecture,
    ( id(X1,esk2_2(X3,X1))
    | ~ r3(esk1_0,X1,X2)
    | ~ id(X2,X3) ),
    c_0_3,
    [final] ).

cnf(c_0_6_007,negated_conjecture,
    ( r1(esk2_2(X3,X1))
    | ~ r3(esk1_0,X1,X2)
    | ~ id(X2,X3) ),
    c_0_4,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_138,negated_conjecture,
    ( id(X0,sk2_esk2_2(X1,X0))
    | ~ id(X2,X1)
    | ~ r3(sk2_esk1_0,X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f23ae5.p',c_0_5) ).

cnf(c_173,negated_conjecture,
    ( id(X0,sk2_esk2_2(X1,X0))
    | ~ id(X2,X1)
    | ~ r3(sk2_esk1_0,X0,X2) ),
    inference(copy,[status(esa)],[c_138]) ).

cnf(c_181,negated_conjecture,
    ( id(X0,sk2_esk2_2(X1,X0))
    | ~ id(X2,X1)
    | ~ r3(sk2_esk1_0,X0,X2) ),
    inference(copy,[status(esa)],[c_173]) ).

cnf(c_184,negated_conjecture,
    ( id(X0,sk2_esk2_2(X1,X0))
    | ~ id(X2,X1)
    | ~ r3(sk2_esk1_0,X0,X2) ),
    inference(copy,[status(esa)],[c_181]) ).

cnf(c_185,negated_conjecture,
    ( id(X0,sk2_esk2_2(X1,X0))
    | ~ id(X2,X1)
    | ~ r3(sk2_esk1_0,X0,X2) ),
    inference(copy,[status(esa)],[c_184]) ).

cnf(c_603,negated_conjecture,
    ( id(X0,sk2_esk2_2(X1,X0))
    | ~ id(X2,X1)
    | ~ r3(sk2_esk1_0,X0,X2) ),
    inference(copy,[status(esa)],[c_185]) ).

cnf(c_13,plain,
    r3(X0,X1,sk1_esk8_2(X0,X1)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f23ae5.p',c_0_137_0) ).

cnf(c_353,plain,
    r3(X0,X1,sk1_esk8_2(X0,X1)),
    inference(copy,[status(esa)],[c_13]) ).

cnf(c_627,plain,
    ( ~ id(sk1_esk8_2(sk2_esk1_0,X0),X1)
    | id(X0,sk2_esk2_2(X1,X0)) ),
    inference(resolution,[status(thm)],[c_603,c_353]) ).

cnf(c_628,plain,
    ( ~ id(sk1_esk8_2(sk2_esk1_0,X0),X1)
    | id(X0,sk2_esk2_2(X1,X0)) ),
    inference(rewriting,[status(thm)],[c_627]) ).

cnf(c_3,plain,
    id(X0,X0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f23ae5.p',c_0_165_0) ).

cnf(c_333,plain,
    id(X0,X0),
    inference(copy,[status(esa)],[c_3]) ).

cnf(c_659,plain,
    id(X0,sk2_esk2_2(sk1_esk8_2(sk2_esk1_0,X0),X0)),
    inference(resolution,[status(thm)],[c_628,c_333]) ).

cnf(c_660,plain,
    id(X0,sk2_esk2_2(sk1_esk8_2(sk2_esk1_0,X0),X0)),
    inference(rewriting,[status(thm)],[c_659]) ).

cnf(c_32,plain,
    ( ~ r1(X0)
    | r1(X1)
    | ~ id(X1,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f23ae5.p',c_0_157_1) ).

cnf(c_391,plain,
    ( ~ r1(X0)
    | r1(X1)
    | ~ id(X1,X0) ),
    inference(copy,[status(esa)],[c_32]) ).

cnf(c_792,plain,
    ( ~ r1(sk2_esk2_2(sk1_esk8_2(sk2_esk1_0,X0),X0))
    | r1(X0) ),
    inference(resolution,[status(thm)],[c_660,c_391]) ).

cnf(c_793,plain,
    ( ~ r1(sk2_esk2_2(sk1_esk8_2(sk2_esk1_0,X0),X0))
    | r1(X0) ),
    inference(rewriting,[status(thm)],[c_792]) ).

cnf(c_139,negated_conjecture,
    ( r1(sk2_esk2_2(X0,X1))
    | ~ id(X2,X0)
    | ~ r3(sk2_esk1_0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f23ae5.p',c_0_6) ).

cnf(c_175,negated_conjecture,
    ( r1(sk2_esk2_2(X0,X1))
    | ~ id(X2,X0)
    | ~ r3(sk2_esk1_0,X1,X2) ),
    inference(copy,[status(esa)],[c_139]) ).

cnf(c_182,negated_conjecture,
    ( r1(sk2_esk2_2(X0,X1))
    | ~ id(X2,X0)
    | ~ r3(sk2_esk1_0,X1,X2) ),
    inference(copy,[status(esa)],[c_175]) ).

cnf(c_183,negated_conjecture,
    ( r1(sk2_esk2_2(X0,X1))
    | ~ id(X2,X0)
    | ~ r3(sk2_esk1_0,X1,X2) ),
    inference(copy,[status(esa)],[c_182]) ).

cnf(c_186,negated_conjecture,
    ( r1(sk2_esk2_2(X0,X1))
    | ~ id(X2,X0)
    | ~ r3(sk2_esk1_0,X1,X2) ),
    inference(copy,[status(esa)],[c_183]) ).

cnf(c_605,negated_conjecture,
    ( r1(sk2_esk2_2(X0,X1))
    | ~ id(X2,X0)
    | ~ r3(sk2_esk1_0,X1,X2) ),
    inference(copy,[status(esa)],[c_186]) ).

cnf(c_615,plain,
    ( r1(sk2_esk2_2(X0,X1))
    | ~ id(sk1_esk8_2(sk2_esk1_0,X1),X0) ),
    inference(resolution,[status(thm)],[c_605,c_353]) ).

cnf(c_616,plain,
    ( r1(sk2_esk2_2(X0,X1))
    | ~ id(sk1_esk8_2(sk2_esk1_0,X1),X0) ),
    inference(rewriting,[status(thm)],[c_615]) ).

cnf(c_645,plain,
    r1(sk2_esk2_2(sk1_esk8_2(sk2_esk1_0,X0),X0)),
    inference(resolution,[status(thm)],[c_616,c_333]) ).

cnf(c_646,plain,
    r1(sk2_esk2_2(sk1_esk8_2(sk2_esk1_0,X0),X0)),
    inference(rewriting,[status(thm)],[c_645]) ).

cnf(c_4791,plain,
    r1(X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_793,c_646]) ).

cnf(c_4792,plain,
    r1(X0),
    inference(rewriting,[status(thm)],[c_4791]) ).

cnf(c_20,plain,
    ( id(X0,sk1_esk1_0)
    | ~ r1(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f23ae5.p',c_0_164_1) ).

cnf(c_367,plain,
    ( id(X0,sk1_esk1_0)
    | ~ r1(X0) ),
    inference(copy,[status(esa)],[c_20]) ).

cnf(c_368,plain,
    ( ~ r1(X0)
    | id(X0,sk1_esk1_0) ),
    inference(rewriting,[status(thm)],[c_367]) ).

cnf(c_4795,plain,
    id(X0,sk1_esk1_0),
    inference(backward_subsumption_resolution,[status(thm)],[c_4792,c_368]) ).

cnf(c_4796,plain,
    id(X0,sk1_esk1_0),
    inference(rewriting,[status(thm)],[c_4795]) ).

cnf(c_59,plain,
    ( id(X0,X1)
    | ~ id(X2,X1)
    | ~ id(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f23ae5.p',c_0_143_2) ).

cnf(c_445,plain,
    ( id(X0,X1)
    | ~ id(X2,X1)
    | ~ id(X0,X2) ),
    inference(copy,[status(esa)],[c_59]) ).

cnf(c_4802,plain,
    ( ~ id(sk1_esk1_0,X0)
    | id(X1,X0) ),
    inference(resolution,[status(thm)],[c_4796,c_445]) ).

cnf(c_4803,plain,
    ( ~ id(sk1_esk1_0,X0)
    | id(X1,X0) ),
    inference(rewriting,[status(thm)],[c_4802]) ).

cnf(c_42,plain,
    ( id(X0,X1)
    | ~ id(X1,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f23ae5.p',c_0_153_1) ).

cnf(c_411,plain,
    ( id(X0,X1)
    | ~ id(X1,X0) ),
    inference(copy,[status(esa)],[c_42]) ).

cnf(c_4800,plain,
    id(sk1_esk1_0,X0),
    inference(resolution,[status(thm)],[c_4796,c_411]) ).

cnf(c_4801,plain,
    id(sk1_esk1_0,X0),
    inference(rewriting,[status(thm)],[c_4800]) ).

cnf(c_5366,plain,
    id(X0,X1),
    inference(forward_subsumption_resolution,[status(thm)],[c_4803,c_4801]) ).

cnf(c_5367,plain,
    id(X0,X1),
    inference(rewriting,[status(thm)],[c_5366]) ).

cnf(c_54,plain,
    ( ~ r2(X0,X1)
    | ~ r1(X2)
    | ~ id(X2,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f23ae5.p',c_0_145_2) ).

cnf(c_435,plain,
    ( ~ r2(X0,X1)
    | ~ r1(X2)
    | ~ id(X2,X1) ),
    inference(copy,[status(esa)],[c_54]) ).

cnf(c_436,plain,
    ( ~ r1(X0)
    | ~ id(X0,X1)
    | ~ r2(X2,X1) ),
    inference(rewriting,[status(thm)],[c_435]) ).

cnf(c_4794,plain,
    ( ~ id(X0,X1)
    | ~ r2(X2,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_4792,c_436]) ).

cnf(c_4797,plain,
    ( ~ id(X0,X1)
    | ~ r2(X2,X1) ),
    inference(rewriting,[status(thm)],[c_4794]) ).

cnf(c_5372,plain,
    ~ r2(X0,X1),
    inference(backward_subsumption_resolution,[status(thm)],[c_5367,c_4797]) ).

cnf(c_5375,plain,
    ~ r2(X0,X1),
    inference(rewriting,[status(thm)],[c_5372]) ).

cnf(c_50,plain,
    ( r2(X0,X1)
    | ~ id(X1,sk1_esk2_1(X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f23ae5.p',c_0_147_1) ).

cnf(c_427,plain,
    ( r2(X0,X1)
    | ~ id(X1,sk1_esk2_1(X0)) ),
    inference(copy,[status(esa)],[c_50]) ).

cnf(c_428,plain,
    ( ~ id(X0,sk1_esk2_1(X1))
    | r2(X1,X0) ),
    inference(rewriting,[status(thm)],[c_427]) ).

cnf(c_5370,plain,
    r2(X0,X1),
    inference(backward_subsumption_resolution,[status(thm)],[c_5367,c_428]) ).

cnf(c_5377,plain,
    r2(X0,X1),
    inference(rewriting,[status(thm)],[c_5370]) ).

cnf(c_5466,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_5375,c_5377]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : NUN062+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% 0.09/0.12  % Command  : iprover_modulo %s %d
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  2 04:27:01 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running in mono-core mode
% 0.20/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.41  % FOF problem with conjecture
% 0.20/0.41  % 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_7d8115.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_f23ae5.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_a948b1 | grep -v "SZS"
% 0.20/0.43  
% 0.20/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------  iProver source info 
% 0.20/0.43  
% 0.20/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43  % git: non_committed_changes: true
% 0.20/0.43  % git: last_make_outside_of_git: true
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------ Input Options
% 0.20/0.43  
% 0.20/0.43  % --out_options                         all
% 0.20/0.43  % --tptp_safe_out                       true
% 0.20/0.43  % --problem_path                        ""
% 0.20/0.43  % --include_path                        ""
% 0.20/0.43  % --clausifier                          .//eprover
% 0.20/0.43  % --clausifier_options                  --tstp-format  
% 0.20/0.43  % --stdin                               false
% 0.20/0.43  % --dbg_backtrace                       false
% 0.20/0.43  % --dbg_dump_prop_clauses               false
% 0.20/0.43  % --dbg_dump_prop_clauses_file          -
% 0.20/0.43  % --dbg_out_stat                        false
% 0.20/0.43  
% 0.20/0.43  % ------ General Options
% 0.20/0.43  
% 0.20/0.43  % --fof                                 false
% 0.20/0.43  % --time_out_real                       150.
% 0.20/0.43  % --time_out_prep_mult                  0.2
% 0.20/0.43  % --time_out_virtual                    -1.
% 0.20/0.43  % --schedule                            none
% 0.20/0.43  % --ground_splitting                    input
% 0.20/0.43  % --splitting_nvd                       16
% 0.20/0.43  % --non_eq_to_eq                        false
% 0.20/0.43  % --prep_gs_sim                         true
% 0.20/0.43  % --prep_unflatten                      false
% 0.20/0.43  % --prep_res_sim                        true
% 0.20/0.43  % --prep_upred                          true
% 0.20/0.43  % --res_sim_input                       true
% 0.20/0.43  % --clause_weak_htbl                    true
% 0.20/0.43  % --gc_record_bc_elim                   false
% 0.20/0.43  % --symbol_type_check                   false
% 0.20/0.43  % --clausify_out                        false
% 0.20/0.43  % --large_theory_mode                   false
% 0.20/0.43  % --prep_sem_filter                     none
% 0.20/0.43  % --prep_sem_filter_out                 false
% 0.20/0.43  % --preprocessed_out                    false
% 0.20/0.43  % --sub_typing                          false
% 0.20/0.43  % --brand_transform                     false
% 0.20/0.43  % --pure_diseq_elim                     true
% 0.20/0.43  % --min_unsat_core                      false
% 0.20/0.43  % --pred_elim                           true
% 0.20/0.43  % --add_important_lit                   false
% 0.20/0.43  % --soft_assumptions                    false
% 0.20/0.43  % --reset_solvers                       false
% 0.20/0.43  % --bc_imp_inh                          []
% 0.20/0.43  % --conj_cone_tolerance                 1.5
% 0.20/0.43  % --prolific_symb_bound                 500
% 0.20/0.43  % --lt_threshold                        2000
% 0.20/0.43  
% 0.20/0.43  % ------ SAT Options
% 0.20/0.43  
% 0.20/0.43  % --sat_mode                            false
% 0.20/0.43  % --sat_fm_restart_options              ""
% 0.20/0.43  % --sat_gr_def                          false
% 0.20/0.43  % --sat_epr_types                       true
% 0.20/0.43  % --sat_non_cyclic_types                false
% 0.20/0.43  % --sat_finite_models                   false
% 0.20/0.43  % --sat_fm_lemmas                       false
% 0.20/0.43  % --sat_fm_prep                         false
% 0.20/0.43  % --sat_fm_uc_incr                      true
% 0.20/0.43  % --sat_out_model                       small
% 0.20/0.43  % --sat_out_clauses                     false
% 0.20/0.43  
% 0.20/0.43  % ------ QBF Options
% 0.20/0.43  
% 0.20/0.43  % --qbf_mode                            false
% 0.20/0.43  % --qbf_elim_univ                       true
% 0.20/0.43  % --qbf_sk_in                           true
% 0.20/0.43  % --qbf_pred_elim                       true
% 0.20/0.43  % --qbf_split                           32
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1 Options
% 0.20/0.43  
% 0.20/0.43  % --bmc1_incremental                    false
% 0.20/0.43  % --bmc1_axioms                         reachable_all
% 0.20/0.43  % --bmc1_min_bound                      0
% 0.20/0.43  % --bmc1_max_bound                      -1
% 0.20/0.43  % --bmc1_max_bound_default              -1
% 0.20/0.43  % --bmc1_symbol_reachability            true
% 0.20/0.43  % --bmc1_property_lemmas                false
% 0.20/0.43  % --bmc1_k_induction                    false
% 0.20/0.43  % --bmc1_non_equiv_states               false
% 0.20/0.43  % --bmc1_deadlock                       false
% 0.20/0.43  % --bmc1_ucm                            false
% 0.20/0.43  % --bmc1_add_unsat_core                 none
% 0.20/0.43  % --bmc1_unsat_core_children            false
% 0.20/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.43  % --bmc1_out_stat                       full
% 0.20/0.43  % --bmc1_ground_init                    false
% 0.20/0.43  % --bmc1_pre_inst_next_state            false
% 0.20/0.43  % --bmc1_pre_inst_state                 false
% 0.20/0.43  % --bmc1_pre_inst_reach_state           false
% 0.20/0.43  % --bmc1_out_unsat_core                 false
% 0.20/0.43  % --bmc1_aig_witness_out                false
% 0.20/0.43  % --bmc1_verbose                        false
% 0.20/0.43  % --bmc1_dump_clauses_tptp              false
% 0.20/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.44  % --bmc1_dump_file                      -
% 0.20/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.44  % --bmc1_ucm_extend_mode                1
% 0.20/0.44  % --bmc1_ucm_init_mode                  2
% 0.20/0.44  % --bmc1_ucm_cone_mode                  none
% 0.20/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.44  % --bmc1_ucm_relax_model                4
% 0.20/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.44  % --bmc1_ucm_layered_model              none
% 0.20/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.44  
% 0.20/0.44  % ------ AIG Options
% 0.20/0.44  
% 0.20/0.44  % --aig_mode                            false
% 0.20/0.44  
% 0.20/0.44  % ------ Instantiation Options
% 0.20/0.44  
% 0.20/0.44  % --instantiation_flag                  true
% 0.20/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44  % --inst_solver_per_active              750
% 0.20/0.44  % --inst_solver_calls_frac              0.5
% 0.20/0.44  % --inst_passive_queue_type             priority_queues
% 0.20/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44  % --inst_passive_queues_freq            [25;2]
% 0.20/0.44  % --inst_dismatching                    true
% 0.20/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.44  % --inst_prop_sim_given                 true
% 0.20/0.44  % --inst_prop_sim_new                   false
% 0.20/0.44  % --inst_orphan_elimination             true
% 0.20/0.44  % --inst_learning_loop_flag             true
% 0.20/0.44  % --inst_learning_start                 3000
% 0.20/0.44  % --inst_learning_factor                2
% 0.20/0.44  % --inst_start_prop_sim_after_learn     3
% 0.20/0.44  % --inst_sel_renew                      solver
% 0.20/0.44  % --inst_lit_activity_flag              true
% 0.20/0.44  % --inst_out_proof                      true
% 0.20/0.44  
% 0.20/0.44  % ------ Resolution Options
% 0.20/0.44  
% 0.20/0.44  % --resolution_flag                     true
% 0.20/0.44  % --res_lit_sel                         kbo_max
% 0.20/0.44  % --res_to_prop_solver                  none
% 0.20/0.44  % --res_prop_simpl_new                  false
% 0.20/0.44  % --res_prop_simpl_given                false
% 0.20/0.44  % --res_passive_queue_type              priority_queues
% 0.20/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44  % --res_passive_queues_freq             [15;5]
% 0.20/0.44  % --res_forward_subs                    full
% 0.20/0.44  % --res_backward_subs                   full
% 0.20/0.44  % --res_forward_subs_resolution         true
% 0.20/0.44  % --res_backward_subs_resolution        true
% 0.20/0.44  % --res_orphan_elimination              false
% 0.20/0.44  % --res_time_limit                      1000.
% 0.20/0.44  % --res_out_proof                       true
% 0.20/0.44  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_7d8115.s
% 0.20/0.44  % --modulo                              true
% 0.20/0.44  
% 0.20/0.44  % ------ Combination Options
% 0.20/0.44  
% 0.20/0.44  % --comb_res_mult                       1000
% 0.20/0.44  % --comb_inst_mult                      300
% 0.20/0.44  % ------ 
% 0.20/0.44  
% 0.20/0.44  % ------ Parsing...% successful
% 0.20/0.44  
% 0.20/0.44  % ------ 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 % 
% 0.20/0.44  
% 0.20/0.44  % ------ Proving...
% 0.20/0.44  % ------ Problem Properties 
% 0.20/0.44  
% 0.20/0.44  % 
% 0.20/0.44  % EPR                                   false
% 0.20/0.44  % Horn                                  false
% 0.20/0.44  % Has equality                          false
% 0.20/0.44  
% 0.20/0.44  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  % % ------ Current options:
% 0.20/0.44  
% 0.20/0.44  % ------ Input Options
% 0.20/0.44  
% 0.20/0.44  % --out_options                         all
% 0.20/0.44  % --tptp_safe_out                       true
% 0.20/0.44  % --problem_path                        ""
% 0.20/0.44  % --include_path                        ""
% 0.20/0.44  % --clausifier                          .//eprover
% 0.20/0.44  % --clausifier_options                  --tstp-format  
% 0.20/0.44  % --stdin                               false
% 0.20/0.44  % --dbg_backtrace                       false
% 0.20/0.44  % --dbg_dump_prop_clauses               false
% 0.20/0.44  % --dbg_dump_prop_clauses_file          -
% 0.20/0.44  % --dbg_out_stat                        false
% 0.20/0.44  
% 0.20/0.44  % ------ General Options
% 0.20/0.44  
% 0.20/0.44  % --fof                                 false
% 0.20/0.44  % --time_out_real                       150.
% 0.20/0.44  % --time_out_prep_mult                  0.2
% 0.20/0.44  % --time_out_virtual                    -1.
% 0.20/0.44  % --schedule                            none
% 0.20/0.44  % --ground_splitting                    input
% 0.20/0.44  % --splitting_nvd                       16
% 0.20/0.44  % --non_eq_to_eq                        false
% 0.20/0.44  % --prep_gs_sim                         true
% 0.20/0.44  % --prep_unflatten                      false
% 0.20/0.44  % --prep_res_sim                        true
% 0.20/0.44  % --prep_upred                          true
% 0.20/0.44  % --res_sim_input                       true
% 0.20/0.44  % --clause_weak_htbl                    true
% 0.20/0.44  % --gc_record_bc_elim                   false
% 0.20/0.44  % --symbol_type_check                   false
% 0.20/0.44  % --clausify_out                        false
% 0.20/0.44  % --large_theory_mode                   false
% 0.20/0.44  % --prep_sem_filter                     none
% 0.20/0.44  % --prep_sem_filter_out                 false
% 0.20/0.44  % --preprocessed_out                    false
% 0.20/0.44  % --sub_typing                          false
% 0.20/0.44  % --brand_transform                     false
% 0.20/0.44  % --pure_diseq_elim                     true
% 0.20/0.44  % --min_unsat_core                      false
% 0.20/0.44  % --pred_elim                           true
% 0.20/0.44  % --add_important_lit                   false
% 0.20/0.44  % --soft_assumptions                    false
% 0.20/0.44  % --reset_solvers                       false
% 0.20/0.44  % --bc_imp_inh                          []
% 0.20/0.44  % --conj_cone_tolerance                 1.5
% 0.20/0.44  % --prolific_symb_bound                 500
% 0.20/0.44  % --lt_threshold                        2000
% 0.20/0.44  
% 0.20/0.44  % ------ SAT Options
% 0.20/0.44  
% 0.20/0.44  % --sat_mode                            false
% 0.20/0.44  % --sat_fm_restart_options              ""
% 0.20/0.44  % --sat_gr_def                          false
% 0.20/0.44  % --sat_epr_types                       true
% 0.20/0.44  % --sat_non_cyclic_types                false
% 0.20/0.44  % --sat_finite_models                   false
% 0.20/0.44  % --sat_fm_lemmas                       false
% 0.20/0.44  % --sat_fm_prep                         false
% 0.20/0.44  % --sat_fm_uc_incr                      true
% 0.20/0.44  % --sat_out_model                       small
% 0.20/0.44  % --sat_out_clauses                     false
% 0.20/0.44  
% 0.20/0.44  % ------ QBF Options
% 0.20/0.44  
% 0.20/0.44  % --qbf_mode                            false
% 0.20/0.44  % --qbf_elim_univ                       true
% 0.20/0.44  % --qbf_sk_in                           true
% 0.20/0.44  % --qbf_pred_elim                       true
% 0.20/0.44  % --qbf_split                           32
% 0.20/0.44  
% 0.20/0.44  % ------ BMC1 Options
% 0.20/0.44  
% 0.20/0.44  % --bmc1_incremental                    false
% 0.20/0.44  % --bmc1_axioms                         reachable_all
% 0.20/0.44  % --bmc1_min_bound                      0
% 0.20/0.44  % --bmc1_max_bound                      -1
% 0.20/0.44  % --bmc1_max_bound_default              -1
% 0.20/0.44  % --bmc1_symbol_reachability            true
% 0.20/0.44  % --bmc1_property_lemmas                false
% 0.20/0.44  % --bmc1_k_induction                    false
% 0.20/0.44  % --bmc1_non_equiv_states               false
% 0.20/0.44  % --bmc1_deadlock                       false
% 0.20/0.44  % --bmc1_ucm                            false
% 0.20/0.44  % --bmc1_add_unsat_core                 none
% 0.20/0.44  % --bmc1_unsat_core_children            false
% 0.20/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.44  % --bmc1_out_stat                       full
% 0.20/0.44  % --bmc1_ground_init                    false
% 0.20/0.44  % --bmc1_pre_inst_next_state            false
% 0.20/0.44  % --bmc1_pre_inst_state                 false
% 0.20/0.44  % --bmc1_pre_inst_reach_state           false
% 0.20/0.44  % --bmc1_out_unsat_core                 false
% 0.20/0.44  % --bmc1_aig_witness_out                false
% 0.20/0.44  % --bmc1_verbose                        false
% 0.20/0.44  % --bmc1_dump_clauses_tptp              false
% 0.20/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.44  % --bmc1_dump_file                      -
% 0.20/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.44  % --bmc1_ucm_extend_mode                1
% 0.20/0.44  % --bmc1_ucm_init_mode                  2
% 0.20/0.44  % --bmc1_ucm_cone_mode                  none
% 0.20/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.44  % --bmc1_ucm_relax_model                4
% 0.20/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.44  % --bmc1_ucm_layered_model              none
% 0.20/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.44  
% 0.20/0.44  % ------ AIG Options
% 0.20/0.44  
% 0.20/0.44  % --aig_mode                            false
% 0.20/0.44  
% 0.20/0.44  % ------ Instantiation Options
% 0.20/0.44  
% 0.20/0.44  % --instantiation_flag                  true
% 0.20/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44  % --inst_solver_per_active              750
% 0.20/0.44  % --inst_solver_calls_frac              0.5
% 0.20/0.44  % --inst_passive_queue_type             priority_queues
% 0.20/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44  % --inst_passive_queues_freq            [25;2]
% 0.20/0.44  % --inst_dismatching                    true
% 0.20/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.44  % --inst_prop_sim_given                 true
% 150.24/150.43  % --inst_prop_sim_new                   false
% 150.24/150.43  % --inst_orphan_elimination             true
% 150.24/150.43  % --inst_learning_loop_flag             true
% 150.24/150.43  % --inst_learning_start                 3000
% 150.24/150.43  % --inst_learning_factor                2
% 150.24/150.43  % --inst_start_prop_sim_after_learn     3
% 150.24/150.43  % --inst_sel_renew                      solver
% 150.24/150.43  % --inst_lit_activity_flag              true
% 150.24/150.43  % --inst_out_proof                      true
% 150.24/150.43  
% 150.24/150.43  % ------ Resolution Options
% 150.24/150.43  
% 150.24/150.43  % --resolution_flag                     true
% 150.24/150.43  % --res_lit_sel                         kbo_max
% 150.24/150.43  % --res_to_prop_solver                  none
% 150.24/150.43  % --res_prop_simpl_new                  false
% 150.24/150.43  % --res_prop_simpl_given                false
% 150.24/150.43  % --res_passive_queue_type              priority_queues
% 150.24/150.43  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.24/150.43  % --res_passive_queues_freq             [15;5]
% 150.24/150.43  % --res_forward_subs                    full
% 150.24/150.43  % --res_backward_subs                   full
% 150.24/150.43  % --res_forward_subs_resolution         true
% 150.24/150.43  % --res_backward_subs_resolution        true
% 150.24/150.43  % --res_orphan_elimination              false
% 150.24/150.43  % --res_time_limit                      1000.
% 150.24/150.43  % --res_out_proof                       true
% 150.24/150.43  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_7d8115.s
% 150.24/150.43  % --modulo                              true
% 150.24/150.43  
% 150.24/150.43  % ------ Combination Options
% 150.24/150.43  
% 150.24/150.43  % --comb_res_mult                       1000
% 150.24/150.43  % --comb_inst_mult                      300
% 150.24/150.43  % ------ 
% 150.24/150.43  
% 150.24/150.43  
% 150.24/150.43  
% 150.24/150.43  % ------ Proving...
% 150.24/150.43  % 
% 150.24/150.43  
% 150.24/150.43  
% 150.24/150.43  % Time Out Real
% 150.24/150.43  
% 150.24/150.43  % ------                             Statistics
% 150.24/150.43  
% 150.24/150.43  % ------ General
% 150.24/150.43  
% 150.24/150.43  % num_of_input_clauses:                 140
% 150.24/150.43  % num_of_input_neg_conjectures:         2
% 150.24/150.43  % num_of_splits:                        0
% 150.24/150.43  % num_of_split_atoms:                   0
% 150.24/150.43  % num_of_sem_filtered_clauses:          0
% 150.24/150.43  % num_of_subtypes:                      0
% 150.24/150.43  % monotx_restored_types:                0
% 150.24/150.43  % sat_num_of_epr_types:                 0
% 150.24/150.43  % sat_num_of_non_cyclic_types:          0
% 150.24/150.43  % sat_guarded_non_collapsed_types:      0
% 150.24/150.43  % is_epr:                               0
% 150.24/150.43  % is_horn:                              0
% 150.24/150.43  % has_eq:                               0
% 150.24/150.43  % num_pure_diseq_elim:                  0
% 150.24/150.43  % simp_replaced_by:                     0
% 150.24/150.43  % res_preprocessed:                     4
% 150.24/150.43  % prep_upred:                           0
% 150.24/150.43  % prep_unflattend:                      0
% 150.24/150.43  % pred_elim_cands:                      0
% 150.24/150.43  % pred_elim:                            0
% 150.24/150.43  % pred_elim_cl:                         0
% 150.24/150.43  % pred_elim_cycles:                     0
% 150.24/150.43  % forced_gc_time:                       0
% 150.24/150.43  % gc_basic_clause_elim:                 0
% 150.24/150.43  % parsing_time:                         0.005
% 150.24/150.43  % sem_filter_time:                      0.
% 150.24/150.43  % pred_elim_time:                       0.
% 150.24/150.43  % out_proof_time:                       0.
% 150.24/150.43  % monotx_time:                          0.
% 150.24/150.43  % subtype_inf_time:                     0.
% 150.24/150.43  % unif_index_cands_time:                0.18
% 150.24/150.43  % unif_index_add_time:                  0.041
% 150.24/150.43  % total_time:                           150.017
% 150.24/150.43  % num_of_symbols:                       52
% 150.24/150.43  % num_of_terms:                         412319
% 150.24/150.43  
% 150.24/150.43  % ------ Propositional Solver
% 150.24/150.43  
% 150.24/150.43  % prop_solver_calls:                    12
% 150.24/150.43  % prop_fast_solver_calls:               18
% 150.24/150.43  % prop_num_of_clauses:                  9245
% 150.24/150.43  % prop_preprocess_simplified:           8488
% 150.24/150.43  % prop_fo_subsumed:                     0
% 150.24/150.43  % prop_solver_time:                     0.001
% 150.24/150.43  % prop_fast_solver_time:                0.
% 150.24/150.43  % prop_unsat_core_time:                 0.
% 150.24/150.43  
% 150.24/150.43  % ------ QBF 
% 150.24/150.43  
% 150.24/150.43  % qbf_q_res:                            0
% 150.24/150.43  % qbf_num_tautologies:                  0
% 150.24/150.43  % qbf_prep_cycles:                      0
% 150.24/150.43  
% 150.24/150.43  % ------ BMC1
% 150.24/150.43  
% 150.24/150.43  % bmc1_current_bound:                   -1
% 150.24/150.43  % bmc1_last_solved_bound:               -1
% 150.24/150.43  % bmc1_unsat_core_size:                 -1
% 150.24/150.43  % bmc1_unsat_core_parents_size:         -1
% 150.24/150.43  % bmc1_merge_next_fun:                  0
% 150.24/150.43  % bmc1_unsat_core_clauses_time:         0.
% 150.24/150.43  
% 150.24/150.43  % ------ Instantiation
% 150.24/150.43  
% 150.24/150.43  % inst_num_of_clauses:                  5473
% 150.24/150.43  % inst_num_in_passive:                  2644
% 150.24/150.43  % inst_num_in_active:                   1116
% 150.24/150.43  % inst_num_in_unprocessed:              1652
% 150.24/150.43  % inst_num_of_loops:                    1500
% 150.24/150.44  % inst_num_of_learning_restarts:        0
% 150.24/150.44  % inst_num_moves_active_passive:        322
% 150.24/150.44  % inst_lit_activity:                    873
% 150.24/150.44  % inst_lit_activity_moves:              0
% 150.24/150.44  % inst_num_tautologies:                 61
% 150.24/150.44  % inst_num_prop_implied:                0
% 150.24/150.44  % inst_num_existing_simplified:         0
% 150.24/150.44  % inst_num_eq_res_simplified:           0
% 150.24/150.44  % inst_num_child_elim:                  0
% 150.24/150.44  % inst_num_of_dismatching_blockings:    9123
% 150.24/150.44  % inst_num_of_non_proper_insts:         7486
% 150.24/150.44  % inst_num_of_duplicates:               4577
% 150.24/150.44  % inst_inst_num_from_inst_to_res:       0
% 150.24/150.44  % inst_dismatching_checking_time:       0.054
% 150.24/150.44  
% 150.24/150.44  % ------ Resolution
% 150.24/150.44  
% 150.24/150.44  % res_num_of_clauses:                   1588764
% 150.24/150.44  % res_num_in_passive:                   1583745
% 150.24/150.44  % res_num_in_active:                    5586
% 150.24/150.44  % res_num_of_loops:                     5986
% 150.24/150.44  % res_forward_subset_subsumed:          160760
% 150.24/150.44  % res_backward_subset_subsumed:         758
% 150.24/150.44  % res_forward_subsumed:                 342
% 150.24/150.44  % res_backward_subsumed:                65
% 150.24/150.44  % res_forward_subsumption_resolution:   53
% 150.24/150.44  % res_backward_subsumption_resolution:  8
% 150.24/150.44  % res_clause_to_clause_subsumption:     367650
% 150.24/150.44  % res_orphan_elimination:               0
% 150.24/150.44  % res_tautology_del:                    514
% 150.24/150.44  % res_num_eq_res_simplified:            0
% 150.24/150.44  % res_num_sel_changes:                  0
% 150.24/150.44  % res_moves_from_active_to_pass:        0
% 150.24/150.44  
% 150.24/150.44  % Status Unknown
% 150.29/150.47  % Orienting using strategy ClausalAll
% 150.29/150.47  % FOF problem with conjecture
% 150.29/150.47  % 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_7d8115.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_f23ae5.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_5462b3 | grep -v "SZS"
% 150.29/150.50  
% 150.29/150.50  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.29/150.50  
% 150.29/150.50  % 
% 150.29/150.50  % ------  iProver source info 
% 150.29/150.50  
% 150.29/150.50  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.29/150.50  % git: non_committed_changes: true
% 150.29/150.50  % git: last_make_outside_of_git: true
% 150.29/150.50  
% 150.29/150.50  % 
% 150.29/150.50  % ------ Input Options
% 150.29/150.50  
% 150.29/150.50  % --out_options                         all
% 150.29/150.50  % --tptp_safe_out                       true
% 150.29/150.50  % --problem_path                        ""
% 150.29/150.50  % --include_path                        ""
% 150.29/150.50  % --clausifier                          .//eprover
% 150.29/150.50  % --clausifier_options                  --tstp-format  
% 150.29/150.50  % --stdin                               false
% 150.29/150.50  % --dbg_backtrace                       false
% 150.29/150.50  % --dbg_dump_prop_clauses               false
% 150.29/150.50  % --dbg_dump_prop_clauses_file          -
% 150.29/150.50  % --dbg_out_stat                        false
% 150.29/150.50  
% 150.29/150.50  % ------ General Options
% 150.29/150.50  
% 150.29/150.50  % --fof                                 false
% 150.29/150.50  % --time_out_real                       150.
% 150.29/150.50  % --time_out_prep_mult                  0.2
% 150.29/150.50  % --time_out_virtual                    -1.
% 150.29/150.50  % --schedule                            none
% 150.29/150.50  % --ground_splitting                    input
% 150.29/150.50  % --splitting_nvd                       16
% 150.29/150.50  % --non_eq_to_eq                        false
% 150.29/150.50  % --prep_gs_sim                         true
% 150.29/150.50  % --prep_unflatten                      false
% 150.29/150.50  % --prep_res_sim                        true
% 150.29/150.50  % --prep_upred                          true
% 150.29/150.50  % --res_sim_input                       true
% 150.29/150.50  % --clause_weak_htbl                    true
% 150.29/150.50  % --gc_record_bc_elim                   false
% 150.29/150.50  % --symbol_type_check                   false
% 150.29/150.50  % --clausify_out                        false
% 150.29/150.50  % --large_theory_mode                   false
% 150.29/150.50  % --prep_sem_filter                     none
% 150.29/150.50  % --prep_sem_filter_out                 false
% 150.29/150.50  % --preprocessed_out                    false
% 150.29/150.50  % --sub_typing                          false
% 150.29/150.50  % --brand_transform                     false
% 150.29/150.50  % --pure_diseq_elim                     true
% 150.29/150.50  % --min_unsat_core                      false
% 150.29/150.50  % --pred_elim                           true
% 150.29/150.50  % --add_important_lit                   false
% 150.29/150.50  % --soft_assumptions                    false
% 150.29/150.50  % --reset_solvers                       false
% 150.29/150.50  % --bc_imp_inh                          []
% 150.29/150.50  % --conj_cone_tolerance                 1.5
% 150.29/150.50  % --prolific_symb_bound                 500
% 150.29/150.50  % --lt_threshold                        2000
% 150.29/150.50  
% 150.29/150.50  % ------ SAT Options
% 150.29/150.50  
% 150.29/150.50  % --sat_mode                            false
% 150.29/150.50  % --sat_fm_restart_options              ""
% 150.29/150.50  % --sat_gr_def                          false
% 150.29/150.50  % --sat_epr_types                       true
% 150.29/150.50  % --sat_non_cyclic_types                false
% 150.29/150.50  % --sat_finite_models                   false
% 150.29/150.50  % --sat_fm_lemmas                       false
% 150.29/150.50  % --sat_fm_prep                         false
% 150.29/150.50  % --sat_fm_uc_incr                      true
% 150.29/150.50  % --sat_out_model                       small
% 150.29/150.50  % --sat_out_clauses                     false
% 150.29/150.50  
% 150.29/150.50  % ------ QBF Options
% 150.29/150.50  
% 150.29/150.50  % --qbf_mode                            false
% 150.29/150.50  % --qbf_elim_univ                       true
% 150.29/150.50  % --qbf_sk_in                           true
% 150.29/150.50  % --qbf_pred_elim                       true
% 150.29/150.50  % --qbf_split                           32
% 150.29/150.50  
% 150.29/150.50  % ------ BMC1 Options
% 150.29/150.50  
% 150.29/150.50  % --bmc1_incremental                    false
% 150.29/150.50  % --bmc1_axioms                         reachable_all
% 150.29/150.50  % --bmc1_min_bound                      0
% 150.29/150.50  % --bmc1_max_bound                      -1
% 150.29/150.50  % --bmc1_max_bound_default              -1
% 150.29/150.50  % --bmc1_symbol_reachability            true
% 150.29/150.50  % --bmc1_property_lemmas                false
% 150.29/150.50  % --bmc1_k_induction                    false
% 150.29/150.50  % --bmc1_non_equiv_states               false
% 150.29/150.50  % --bmc1_deadlock                       false
% 150.29/150.50  % --bmc1_ucm                            false
% 150.29/150.50  % --bmc1_add_unsat_core                 none
% 150.29/150.50  % --bmc1_unsat_core_children            false
% 150.29/150.50  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.29/150.50  % --bmc1_out_stat                       full
% 150.29/150.50  % --bmc1_ground_init                    false
% 150.29/150.50  % --bmc1_pre_inst_next_state            false
% 150.29/150.50  % --bmc1_pre_inst_state                 false
% 150.29/150.50  % --bmc1_pre_inst_reach_state           false
% 150.29/150.50  % --bmc1_out_unsat_core                 false
% 150.29/150.50  % --bmc1_aig_witness_out                false
% 150.29/150.50  % --bmc1_verbose                        false
% 150.29/150.50  % --bmc1_dump_clauses_tptp              false
% 150.29/150.51  % --bmc1_dump_unsat_core_tptp           false
% 150.29/150.51  % --bmc1_dump_file                      -
% 150.29/150.51  % --bmc1_ucm_expand_uc_limit            128
% 150.29/150.51  % --bmc1_ucm_n_expand_iterations        6
% 150.29/150.51  % --bmc1_ucm_extend_mode                1
% 150.29/150.51  % --bmc1_ucm_init_mode                  2
% 150.29/150.51  % --bmc1_ucm_cone_mode                  none
% 150.29/150.51  % --bmc1_ucm_reduced_relation_type      0
% 150.29/150.51  % --bmc1_ucm_relax_model                4
% 150.29/150.51  % --bmc1_ucm_full_tr_after_sat          true
% 150.29/150.51  % --bmc1_ucm_expand_neg_assumptions     false
% 150.29/150.51  % --bmc1_ucm_layered_model              none
% 150.29/150.51  % --bmc1_ucm_max_lemma_size             10
% 150.29/150.51  
% 150.29/150.51  % ------ AIG Options
% 150.29/150.51  
% 150.29/150.51  % --aig_mode                            false
% 150.29/150.51  
% 150.29/150.51  % ------ Instantiation Options
% 150.29/150.51  
% 150.29/150.51  % --instantiation_flag                  true
% 150.29/150.51  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.29/150.51  % --inst_solver_per_active              750
% 150.29/150.51  % --inst_solver_calls_frac              0.5
% 150.29/150.51  % --inst_passive_queue_type             priority_queues
% 150.29/150.51  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.29/150.51  % --inst_passive_queues_freq            [25;2]
% 150.29/150.51  % --inst_dismatching                    true
% 150.29/150.51  % --inst_eager_unprocessed_to_passive   true
% 150.29/150.51  % --inst_prop_sim_given                 true
% 150.29/150.51  % --inst_prop_sim_new                   false
% 150.29/150.51  % --inst_orphan_elimination             true
% 150.29/150.51  % --inst_learning_loop_flag             true
% 150.29/150.51  % --inst_learning_start                 3000
% 150.29/150.51  % --inst_learning_factor                2
% 150.29/150.51  % --inst_start_prop_sim_after_learn     3
% 150.29/150.51  % --inst_sel_renew                      solver
% 150.29/150.51  % --inst_lit_activity_flag              true
% 150.29/150.51  % --inst_out_proof                      true
% 150.29/150.51  
% 150.29/150.51  % ------ Resolution Options
% 150.29/150.51  
% 150.29/150.51  % --resolution_flag                     true
% 150.29/150.51  % --res_lit_sel                         kbo_max
% 150.29/150.51  % --res_to_prop_solver                  none
% 150.29/150.51  % --res_prop_simpl_new                  false
% 150.29/150.51  % --res_prop_simpl_given                false
% 150.29/150.51  % --res_passive_queue_type              priority_queues
% 150.29/150.51  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.29/150.51  % --res_passive_queues_freq             [15;5]
% 150.29/150.51  % --res_forward_subs                    full
% 150.29/150.51  % --res_backward_subs                   full
% 150.29/150.51  % --res_forward_subs_resolution         true
% 150.29/150.51  % --res_backward_subs_resolution        true
% 150.29/150.51  % --res_orphan_elimination              false
% 150.29/150.51  % --res_time_limit                      1000.
% 150.29/150.51  % --res_out_proof                       true
% 150.29/150.51  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_7d8115.s
% 150.29/150.51  % --modulo                              true
% 150.29/150.51  
% 150.29/150.51  % ------ Combination Options
% 150.29/150.51  
% 150.29/150.51  % --comb_res_mult                       1000
% 150.29/150.51  % --comb_inst_mult                      300
% 150.29/150.51  % ------ 
% 150.29/150.51  
% 150.29/150.51  % ------ Parsing...% successful
% 150.29/150.51  
% 150.29/150.51  % ------ 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 % 
% 150.29/150.51  
% 150.29/150.51  % ------ Proving...
% 150.29/150.51  % ------ Problem Properties 
% 150.29/150.51  
% 150.29/150.51  % 
% 150.29/150.51  % EPR                                   false
% 150.29/150.51  % Horn                                  false
% 150.29/150.51  % Has equality                          false
% 150.29/150.51  
% 150.29/150.51  % % ------ Input Options Time Limit: Unbounded
% 150.29/150.51  
% 150.29/150.51  
% 150.29/150.51  % % ------ Current options:
% 150.29/150.51  
% 150.29/150.51  % ------ Input Options
% 150.29/150.51  
% 150.29/150.51  % --out_options                         all
% 150.29/150.51  % --tptp_safe_out                       true
% 150.29/150.51  % --problem_path                        ""
% 150.29/150.51  % --include_path                        ""
% 150.29/150.51  % --clausifier                          .//eprover
% 150.29/150.51  % --clausifier_options                  --tstp-format  
% 150.29/150.51  % --stdin                               false
% 150.29/150.51  % --dbg_backtrace                       false
% 150.29/150.51  % --dbg_dump_prop_clauses               false
% 150.29/150.51  % --dbg_dump_prop_clauses_file          -
% 150.29/150.51  % --dbg_out_stat                        false
% 150.29/150.51  
% 150.29/150.51  % ------ General Options
% 150.29/150.51  
% 150.29/150.51  % --fof                                 false
% 150.29/150.51  % --time_out_real                       150.
% 150.29/150.51  % --time_out_prep_mult                  0.2
% 150.29/150.51  % --time_out_virtual                    -1.
% 150.29/150.51  % --schedule                            none
% 150.29/150.51  % --ground_splitting                    input
% 150.29/150.51  % --splitting_nvd                       16
% 150.29/150.51  % --non_eq_to_eq                        false
% 150.29/150.51  % --prep_gs_sim                         true
% 150.29/150.51  % --prep_unflatten                      false
% 150.29/150.51  % --prep_res_sim                        true
% 150.29/150.51  % --prep_upred                          true
% 150.29/150.51  % --res_sim_input                       true
% 150.29/150.51  % --clause_weak_htbl                    true
% 150.29/150.51  % --gc_record_bc_elim                   false
% 150.29/150.51  % --symbol_type_check                   false
% 150.29/150.51  % --clausify_out                        false
% 150.29/150.51  % --large_theory_mode                   false
% 150.29/150.51  % --prep_sem_filter                     none
% 150.29/150.51  % --prep_sem_filter_out                 false
% 150.29/150.51  % --preprocessed_out                    false
% 150.29/150.51  % --sub_typing                          false
% 150.29/150.51  % --brand_transform                     false
% 150.29/150.51  % --pure_diseq_elim                     true
% 150.29/150.51  % --min_unsat_core                      false
% 150.29/150.51  % --pred_elim                           true
% 150.29/150.51  % --add_important_lit                   false
% 150.29/150.51  % --soft_assumptions                    false
% 150.29/150.51  % --reset_solvers                       false
% 150.29/150.51  % --bc_imp_inh                          []
% 150.29/150.51  % --conj_cone_tolerance                 1.5
% 150.29/150.51  % --prolific_symb_bound                 500
% 150.29/150.51  % --lt_threshold                        2000
% 150.29/150.51  
% 150.29/150.51  % ------ SAT Options
% 150.29/150.51  
% 150.29/150.51  % --sat_mode                            false
% 150.29/150.51  % --sat_fm_restart_options              ""
% 150.29/150.51  % --sat_gr_def                          false
% 150.29/150.51  % --sat_epr_types                       true
% 150.29/150.51  % --sat_non_cyclic_types                false
% 150.29/150.51  % --sat_finite_models                   false
% 150.29/150.51  % --sat_fm_lemmas                       false
% 150.29/150.51  % --sat_fm_prep                         false
% 150.29/150.51  % --sat_fm_uc_incr                      true
% 150.29/150.51  % --sat_out_model                       small
% 150.29/150.51  % --sat_out_clauses                     false
% 150.29/150.51  
% 150.29/150.51  % ------ QBF Options
% 150.29/150.51  
% 150.29/150.51  % --qbf_mode                            false
% 150.29/150.51  % --qbf_elim_univ                       true
% 150.29/150.51  % --qbf_sk_in                           true
% 150.29/150.51  % --qbf_pred_elim                       true
% 150.29/150.51  % --qbf_split                           32
% 150.29/150.51  
% 150.29/150.51  % ------ BMC1 Options
% 150.29/150.51  
% 150.29/150.51  % --bmc1_incremental                    false
% 150.29/150.51  % --bmc1_axioms                         reachable_all
% 150.29/150.51  % --bmc1_min_bound                      0
% 150.29/150.51  % --bmc1_max_bound                      -1
% 150.29/150.51  % --bmc1_max_bound_default              -1
% 150.29/150.51  % --bmc1_symbol_reachability            true
% 150.29/150.51  % --bmc1_property_lemmas                false
% 150.29/150.51  % --bmc1_k_induction                    false
% 150.29/150.51  % --bmc1_non_equiv_states               false
% 150.29/150.51  % --bmc1_deadlock                       false
% 150.29/150.51  % --bmc1_ucm                            false
% 150.29/150.51  % --bmc1_add_unsat_core                 none
% 150.29/150.51  % --bmc1_unsat_core_children            false
% 150.29/150.51  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.29/150.51  % --bmc1_out_stat                       full
% 150.29/150.51  % --bmc1_ground_init                    false
% 150.29/150.51  % --bmc1_pre_inst_next_state            false
% 150.29/150.51  % --bmc1_pre_inst_state                 false
% 150.29/150.51  % --bmc1_pre_inst_reach_state           false
% 150.29/150.51  % --bmc1_out_unsat_core                 false
% 150.29/150.51  % --bmc1_aig_witness_out                false
% 150.29/150.51  % --bmc1_verbose                        false
% 150.29/150.51  % --bmc1_dump_clauses_tptp              false
% 150.29/150.51  % --bmc1_dump_unsat_core_tptp           false
% 150.29/150.51  % --bmc1_dump_file                      -
% 150.29/150.51  % --bmc1_ucm_expand_uc_limit            128
% 150.29/150.51  % --bmc1_ucm_n_expand_iterations        6
% 150.29/150.51  % --bmc1_ucm_extend_mode                1
% 150.29/150.51  % --bmc1_ucm_init_mode                  2
% 150.29/150.51  % --bmc1_ucm_cone_mode                  none
% 150.29/150.51  % --bmc1_ucm_reduced_relation_type      0
% 150.29/150.51  % --bmc1_ucm_relax_model                4
% 150.29/150.51  % --bmc1_ucm_full_tr_after_sat          true
% 150.29/150.51  % --bmc1_ucm_expand_neg_assumptions     false
% 150.29/150.51  % --bmc1_ucm_layered_model              none
% 150.29/150.51  % --bmc1_ucm_max_lemma_size             10
% 150.29/150.51  
% 150.29/150.51  % ------ AIG Options
% 150.29/150.51  
% 150.29/150.51  % --aig_mode                            false
% 150.29/150.51  
% 150.29/150.51  % ------ Instantiation Options
% 150.29/150.51  
% 150.29/150.51  % --instantiation_flag                  true
% 150.29/150.51  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.29/150.51  % --inst_solver_per_active              750
% 150.29/150.51  % --inst_solver_calls_frac              0.5
% 150.29/150.51  % --inst_passive_queue_type             priority_queues
% 150.29/150.51  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.29/150.51  % --inst_passive_queues_freq            [25;2]
% 150.29/150.51  % --inst_dismatching                    true
% 150.29/150.51  % --inst_eager_unprocessed_to_passive   true
% 150.29/150.51  % --inst_prop_sim_given                 true
% 150.32/150.70  % --inst_prop_sim_new                   false
% 150.32/150.70  % --inst_orphan_elimination             true
% 150.32/150.70  % --inst_learning_loop_flag             true
% 150.32/150.70  % --inst_learning_start                 3000
% 150.32/150.70  % --inst_learning_factor                2
% 150.32/150.70  % --inst_start_prop_sim_after_learn     3
% 150.32/150.70  % --inst_sel_renew                      solver
% 150.32/150.70  % --inst_lit_activity_flag              true
% 150.32/150.70  % --inst_out_proof                      true
% 150.32/150.70  
% 150.32/150.70  % ------ Resolution Options
% 150.32/150.70  
% 150.32/150.70  % --resolution_flag                     true
% 150.32/150.70  % --res_lit_sel                         kbo_max
% 150.32/150.70  % --res_to_prop_solver                  none
% 150.32/150.70  % --res_prop_simpl_new                  false
% 150.32/150.70  % --res_prop_simpl_given                false
% 150.32/150.70  % --res_passive_queue_type              priority_queues
% 150.32/150.70  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.32/150.70  % --res_passive_queues_freq             [15;5]
% 150.32/150.70  % --res_forward_subs                    full
% 150.32/150.70  % --res_backward_subs                   full
% 150.32/150.70  % --res_forward_subs_resolution         true
% 150.32/150.70  % --res_backward_subs_resolution        true
% 150.32/150.70  % --res_orphan_elimination              false
% 150.32/150.70  % --res_time_limit                      1000.
% 150.32/150.70  % --res_out_proof                       true
% 150.32/150.70  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_7d8115.s
% 150.32/150.70  % --modulo                              true
% 150.32/150.70  
% 150.32/150.70  % ------ Combination Options
% 150.32/150.70  
% 150.32/150.70  % --comb_res_mult                       1000
% 150.32/150.70  % --comb_inst_mult                      300
% 150.32/150.70  % ------ 
% 150.32/150.70  
% 150.32/150.70  
% 150.32/150.70  
% 150.32/150.70  % ------ Proving...
% 150.32/150.70  % 
% 150.32/150.70  
% 150.32/150.70  
% 150.32/150.70  %  Resolution empty clause
% 150.32/150.70  
% 150.32/150.70  % ------                             Statistics
% 150.32/150.70  
% 150.32/150.70  % ------ General
% 150.32/150.70  
% 150.32/150.70  % num_of_input_clauses:                 140
% 150.32/150.70  % num_of_input_neg_conjectures:         2
% 150.32/150.70  % num_of_splits:                        0
% 150.32/150.70  % num_of_split_atoms:                   0
% 150.32/150.70  % num_of_sem_filtered_clauses:          0
% 150.32/150.70  % num_of_subtypes:                      0
% 150.32/150.70  % monotx_restored_types:                0
% 150.32/150.70  % sat_num_of_epr_types:                 0
% 150.32/150.70  % sat_num_of_non_cyclic_types:          0
% 150.32/150.70  % sat_guarded_non_collapsed_types:      0
% 150.32/150.70  % is_epr:                               0
% 150.32/150.70  % is_horn:                              0
% 150.32/150.70  % has_eq:                               0
% 150.32/150.70  % num_pure_diseq_elim:                  0
% 150.32/150.70  % simp_replaced_by:                     0
% 150.32/150.70  % res_preprocessed:                     4
% 150.32/150.70  % prep_upred:                           0
% 150.32/150.70  % prep_unflattend:                      0
% 150.32/150.70  % pred_elim_cands:                      0
% 150.32/150.70  % pred_elim:                            0
% 150.32/150.70  % pred_elim_cl:                         0
% 150.32/150.70  % pred_elim_cycles:                     0
% 150.32/150.70  % forced_gc_time:                       0
% 150.32/150.70  % gc_basic_clause_elim:                 0
% 150.32/150.70  % parsing_time:                         0.005
% 150.32/150.70  % sem_filter_time:                      0.
% 150.32/150.70  % pred_elim_time:                       0.
% 150.32/150.70  % out_proof_time:                       0.001
% 150.32/150.70  % monotx_time:                          0.
% 150.32/150.70  % subtype_inf_time:                     0.
% 150.32/150.70  % unif_index_cands_time:                0.
% 150.32/150.70  % unif_index_add_time:                  0.
% 150.32/150.70  % total_time:                           0.22
% 150.32/150.70  % num_of_symbols:                       52
% 150.32/150.70  % num_of_terms:                         3368
% 150.32/150.70  
% 150.32/150.70  % ------ Propositional Solver
% 150.32/150.70  
% 150.32/150.70  % prop_solver_calls:                    1
% 150.32/150.70  % prop_fast_solver_calls:               18
% 150.32/150.70  % prop_num_of_clauses:                  105
% 150.32/150.70  % prop_preprocess_simplified:           487
% 150.32/150.70  % prop_fo_subsumed:                     0
% 150.32/150.70  % prop_solver_time:                     0.
% 150.32/150.70  % prop_fast_solver_time:                0.
% 150.32/150.70  % prop_unsat_core_time:                 0.
% 150.32/150.70  
% 150.32/150.70  % ------ QBF 
% 150.32/150.70  
% 150.32/150.70  % qbf_q_res:                            0
% 150.32/150.70  % qbf_num_tautologies:                  0
% 150.32/150.70  % qbf_prep_cycles:                      0
% 150.32/150.70  
% 150.32/150.70  % ------ BMC1
% 150.32/150.70  
% 150.32/150.70  % bmc1_current_bound:                   -1
% 150.32/150.70  % bmc1_last_solved_bound:               -1
% 150.32/150.70  % bmc1_unsat_core_size:                 -1
% 150.32/150.70  % bmc1_unsat_core_parents_size:         -1
% 150.32/150.70  % bmc1_merge_next_fun:                  0
% 150.32/150.70  % bmc1_unsat_core_clauses_time:         0.
% 150.32/150.70  
% 150.32/150.70  % ------ Instantiation
% 150.32/150.70  
% 150.32/150.70  % inst_num_of_clauses:                  140
% 150.32/150.70  % inst_num_in_passive:                  0
% 150.32/150.70  % inst_num_in_active:                   0
% 150.32/150.70  % inst_num_in_unprocessed:              140
% 150.32/150.70  % inst_num_of_loops:                    0
% 150.32/150.70  % inst_num_of_learning_restarts:        0
% 150.32/150.70  % inst_num_moves_active_passive:        0
% 150.32/150.70  % inst_lit_activity:                    0
% 150.32/150.70  % inst_lit_activity_moves:              0
% 150.32/150.70  % inst_num_tautologies:                 0
% 150.32/150.70  % inst_num_prop_implied:                0
% 150.32/150.70  % inst_num_existing_simplified:         0
% 150.32/150.70  % inst_num_eq_res_simplified:           0
% 150.32/150.70  % inst_num_child_elim:                  0
% 150.32/150.70  % inst_num_of_dismatching_blockings:    0
% 150.32/150.70  % inst_num_of_non_proper_insts:         0
% 150.32/150.70  % inst_num_of_duplicates:               0
% 150.32/150.70  % inst_inst_num_from_inst_to_res:       0
% 150.32/150.70  % inst_dismatching_checking_time:       0.
% 150.32/150.70  
% 150.32/150.70  % ------ Resolution
% 150.32/150.70  
% 150.32/150.70  % res_num_of_clauses:                   1783
% 150.32/150.70  % res_num_in_passive:                   1715
% 150.32/150.70  % res_num_in_active:                    21
% 150.32/150.70  % res_num_of_loops:                     213
% 150.32/150.70  % res_forward_subset_subsumed:          156
% 150.32/150.70  % res_backward_subset_subsumed:         67
% 150.32/150.70  % res_forward_subsumed:                 74
% 150.32/150.70  % res_backward_subsumed:                137
% 150.32/150.70  % res_forward_subsumption_resolution:   5
% 150.32/150.70  % res_backward_subsumption_resolution:  34
% 150.32/150.70  % res_clause_to_clause_subsumption:     1744
% 150.32/150.70  % res_orphan_elimination:               0
% 150.32/150.70  % res_tautology_del:                    50
% 150.32/150.70  % res_num_eq_res_simplified:            0
% 150.32/150.70  % res_num_sel_changes:                  0
% 150.32/150.70  % res_moves_from_active_to_pass:        0
% 150.32/150.70  
% 150.32/150.70  % Status Unsatisfiable
% 150.32/150.70  % SZS status Theorem
% 150.32/150.70  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------