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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SYO388^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:44:19 AM UTC 2026

% Result   : Theorem 0.08s 0.26s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   67 (  19 unt;   0 typ;   0 def)
%            Number of atoms       :  448 (   0 equ;   0 cnn)
%            Maximal formula atoms :   57 (   6 avg)
%            Number of connectives : 1771 ( 277   ~; 257   |; 124   &;1113   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   83 (  13 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  16 usr;   5 con; 0-3 aty)
%            Number of variables   :  409 (   0   ^; 409   !;   0   ?; 409   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_23,type,
    cQ_6: $i > $i > $i > $o ).

thf(decl_24,type,
    f: $i > $i ).

thf(decl_25,type,
    cP_5: $i > $i > $o ).

thf(decl_26,type,
    cQ_5: $i > $i > $i > $o ).

thf(decl_27,type,
    d: $i ).

thf(decl_28,type,
    c: $i ).

thf(decl_29,type,
    b: $i ).

thf(decl_30,type,
    a: $i ).

thf(decl_31,type,
    cP_4: $i > $i > $o ).

thf(decl_32,type,
    cQ_4: $i > $i > $i > $o ).

thf(decl_33,type,
    cP_3: $i > $i > $o ).

thf(decl_34,type,
    cQ_3: $i > $i > $i > $o ).

thf(decl_35,type,
    cP_2: $i > $i > $o ).

thf(decl_36,type,
    cQ_2: $i > $i > $i > $o ).

thf(decl_37,type,
    cP_1: $i > $i > $o ).

thf(decl_38,type,
    cQ_1: $i > $i > $i > $o ).

thf(cTHM409_5,conjecture,
    ~ ( ( cQ_1 @ a @ b @ c )
      & ( cP_1 @ a @ a )
      & ( cP_1 @ b @ b )
      & ( cP_1 @ c @ c )
      & ! [X1: $i] : ( cP_1 @ d @ X1 )
      & ! [X1: $i,X2: $i] :
          ( ~ ( cP_1 @ X1 @ X2 )
          | ( cP_1 @ ( f @ X1 ) @ X2 ) )
      & ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
          ( ~ ( cQ_1 @ X1 @ X2 @ X3 )
          | ~ ( cP_1 @ ( f @ X1 ) @ X4 )
          | ~ ( cP_1 @ ( f @ X2 ) @ X5 )
          | ~ ( cP_1 @ ( f @ X3 ) @ X6 )
          | ( cQ_2 @ X4 @ X5 @ X6 ) )
      & ( cP_2 @ a @ a )
      & ( cP_2 @ b @ b )
      & ( cP_2 @ c @ c )
      & ! [X1: $i] : ( cP_2 @ d @ X1 )
      & ! [X1: $i,X2: $i] :
          ( ~ ( cP_2 @ X1 @ X2 )
          | ( cP_2 @ ( f @ X1 ) @ X2 ) )
      & ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
          ( ~ ( cQ_2 @ X1 @ X2 @ X3 )
          | ~ ( cP_2 @ ( f @ X1 ) @ X4 )
          | ~ ( cP_2 @ ( f @ X2 ) @ X5 )
          | ~ ( cP_2 @ ( f @ X3 ) @ X6 )
          | ( cQ_3 @ X4 @ X5 @ X6 ) )
      & ( cP_3 @ a @ a )
      & ( cP_3 @ b @ b )
      & ( cP_3 @ c @ c )
      & ! [X1: $i] : ( cP_3 @ d @ X1 )
      & ! [X1: $i,X2: $i] :
          ( ~ ( cP_3 @ X1 @ X2 )
          | ( cP_3 @ ( f @ X1 ) @ X2 ) )
      & ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
          ( ~ ( cQ_3 @ X1 @ X2 @ X3 )
          | ~ ( cP_3 @ ( f @ X1 ) @ X4 )
          | ~ ( cP_3 @ ( f @ X2 ) @ X5 )
          | ~ ( cP_3 @ ( f @ X3 ) @ X6 )
          | ( cQ_4 @ X4 @ X5 @ X6 ) )
      & ( cP_4 @ a @ a )
      & ( cP_4 @ b @ b )
      & ( cP_4 @ c @ c )
      & ! [X1: $i] : ( cP_4 @ d @ X1 )
      & ! [X1: $i,X2: $i] :
          ( ~ ( cP_4 @ X1 @ X2 )
          | ( cP_4 @ ( f @ X1 ) @ X2 ) )
      & ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
          ( ~ ( cQ_4 @ X1 @ X2 @ X3 )
          | ~ ( cP_4 @ ( f @ X1 ) @ X4 )
          | ~ ( cP_4 @ ( f @ X2 ) @ X5 )
          | ~ ( cP_4 @ ( f @ X3 ) @ X6 )
          | ( cQ_5 @ X4 @ X5 @ X6 ) )
      & ( cP_5 @ a @ a )
      & ( cP_5 @ b @ b )
      & ( cP_5 @ c @ c )
      & ! [X1: $i] : ( cP_5 @ d @ X1 )
      & ! [X1: $i,X2: $i] :
          ( ~ ( cP_5 @ X1 @ X2 )
          | ( cP_5 @ ( f @ X1 ) @ X2 ) )
      & ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
          ( ~ ( cQ_5 @ X1 @ X2 @ X3 )
          | ~ ( cP_5 @ ( f @ X1 ) @ X4 )
          | ~ ( cP_5 @ ( f @ X2 ) @ X5 )
          | ~ ( cP_5 @ ( f @ X3 ) @ X6 )
          | ( cQ_6 @ X4 @ X5 @ X6 ) )
      & ! [X1: $i,X2: $i,X3: $i] :
          ~ ( cQ_6 @ X1 @ X2 @ X3 ) ),
    file('/export/starexec/sandbox/tmp/tmp.1Jcl2NJ0Ld/E---3.1_337692.p',cTHM409_5) ).

thf(c_0_1,negated_conjecture,
    ~ ~ ( ( cQ_1 @ a @ b @ c )
        & ( cP_1 @ a @ a )
        & ( cP_1 @ b @ b )
        & ( cP_1 @ c @ c )
        & ! [X1: $i] : ( cP_1 @ d @ X1 )
        & ! [X1: $i,X2: $i] :
            ( ~ ( cP_1 @ X1 @ X2 )
            | ( cP_1 @ ( f @ X1 ) @ X2 ) )
        & ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
            ( ~ ( cQ_1 @ X1 @ X2 @ X3 )
            | ~ ( cP_1 @ ( f @ X1 ) @ X4 )
            | ~ ( cP_1 @ ( f @ X2 ) @ X5 )
            | ~ ( cP_1 @ ( f @ X3 ) @ X6 )
            | ( cQ_2 @ X4 @ X5 @ X6 ) )
        & ( cP_2 @ a @ a )
        & ( cP_2 @ b @ b )
        & ( cP_2 @ c @ c )
        & ! [X1: $i] : ( cP_2 @ d @ X1 )
        & ! [X1: $i,X2: $i] :
            ( ~ ( cP_2 @ X1 @ X2 )
            | ( cP_2 @ ( f @ X1 ) @ X2 ) )
        & ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
            ( ~ ( cQ_2 @ X1 @ X2 @ X3 )
            | ~ ( cP_2 @ ( f @ X1 ) @ X4 )
            | ~ ( cP_2 @ ( f @ X2 ) @ X5 )
            | ~ ( cP_2 @ ( f @ X3 ) @ X6 )
            | ( cQ_3 @ X4 @ X5 @ X6 ) )
        & ( cP_3 @ a @ a )
        & ( cP_3 @ b @ b )
        & ( cP_3 @ c @ c )
        & ! [X1: $i] : ( cP_3 @ d @ X1 )
        & ! [X1: $i,X2: $i] :
            ( ~ ( cP_3 @ X1 @ X2 )
            | ( cP_3 @ ( f @ X1 ) @ X2 ) )
        & ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
            ( ~ ( cQ_3 @ X1 @ X2 @ X3 )
            | ~ ( cP_3 @ ( f @ X1 ) @ X4 )
            | ~ ( cP_3 @ ( f @ X2 ) @ X5 )
            | ~ ( cP_3 @ ( f @ X3 ) @ X6 )
            | ( cQ_4 @ X4 @ X5 @ X6 ) )
        & ( cP_4 @ a @ a )
        & ( cP_4 @ b @ b )
        & ( cP_4 @ c @ c )
        & ! [X1: $i] : ( cP_4 @ d @ X1 )
        & ! [X1: $i,X2: $i] :
            ( ~ ( cP_4 @ X1 @ X2 )
            | ( cP_4 @ ( f @ X1 ) @ X2 ) )
        & ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
            ( ~ ( cQ_4 @ X1 @ X2 @ X3 )
            | ~ ( cP_4 @ ( f @ X1 ) @ X4 )
            | ~ ( cP_4 @ ( f @ X2 ) @ X5 )
            | ~ ( cP_4 @ ( f @ X3 ) @ X6 )
            | ( cQ_5 @ X4 @ X5 @ X6 ) )
        & ( cP_5 @ a @ a )
        & ( cP_5 @ b @ b )
        & ( cP_5 @ c @ c )
        & ! [X1: $i] : ( cP_5 @ d @ X1 )
        & ! [X1: $i,X2: $i] :
            ( ~ ( cP_5 @ X1 @ X2 )
            | ( cP_5 @ ( f @ X1 ) @ X2 ) )
        & ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
            ( ~ ( cQ_5 @ X1 @ X2 @ X3 )
            | ~ ( cP_5 @ ( f @ X1 ) @ X4 )
            | ~ ( cP_5 @ ( f @ X2 ) @ X5 )
            | ~ ( cP_5 @ ( f @ X3 ) @ X6 )
            | ( cQ_6 @ X4 @ X5 @ X6 ) )
        & ! [X1: $i,X2: $i,X3: $i] :
            ~ ( cQ_6 @ X1 @ X2 @ X3 ) ),
    inference(assume_negation,[status(cth)],[cTHM409_5]) ).

thf(c_0_2,negated_conjecture,
    ~ ~ ( ( cQ_1 @ a @ b @ c )
        & ( cP_1 @ a @ a )
        & ( cP_1 @ b @ b )
        & ( cP_1 @ c @ c )
        & ! [X1: $i] : ( cP_1 @ d @ X1 )
        & ! [X1: $i,X2: $i] :
            ( ~ ( cP_1 @ X1 @ X2 )
            | ( cP_1 @ ( f @ X1 ) @ X2 ) )
        & ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
            ( ~ ( cQ_1 @ X1 @ X2 @ X3 )
            | ~ ( cP_1 @ ( f @ X1 ) @ X4 )
            | ~ ( cP_1 @ ( f @ X2 ) @ X5 )
            | ~ ( cP_1 @ ( f @ X3 ) @ X6 )
            | ( cQ_2 @ X4 @ X5 @ X6 ) )
        & ( cP_2 @ a @ a )
        & ( cP_2 @ b @ b )
        & ( cP_2 @ c @ c )
        & ! [X1: $i] : ( cP_2 @ d @ X1 )
        & ! [X1: $i,X2: $i] :
            ( ~ ( cP_2 @ X1 @ X2 )
            | ( cP_2 @ ( f @ X1 ) @ X2 ) )
        & ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
            ( ~ ( cQ_2 @ X1 @ X2 @ X3 )
            | ~ ( cP_2 @ ( f @ X1 ) @ X4 )
            | ~ ( cP_2 @ ( f @ X2 ) @ X5 )
            | ~ ( cP_2 @ ( f @ X3 ) @ X6 )
            | ( cQ_3 @ X4 @ X5 @ X6 ) )
        & ( cP_3 @ a @ a )
        & ( cP_3 @ b @ b )
        & ( cP_3 @ c @ c )
        & ! [X1: $i] : ( cP_3 @ d @ X1 )
        & ! [X1: $i,X2: $i] :
            ( ~ ( cP_3 @ X1 @ X2 )
            | ( cP_3 @ ( f @ X1 ) @ X2 ) )
        & ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
            ( ~ ( cQ_3 @ X1 @ X2 @ X3 )
            | ~ ( cP_3 @ ( f @ X1 ) @ X4 )
            | ~ ( cP_3 @ ( f @ X2 ) @ X5 )
            | ~ ( cP_3 @ ( f @ X3 ) @ X6 )
            | ( cQ_4 @ X4 @ X5 @ X6 ) )
        & ( cP_4 @ a @ a )
        & ( cP_4 @ b @ b )
        & ( cP_4 @ c @ c )
        & ! [X1: $i] : ( cP_4 @ d @ X1 )
        & ! [X1: $i,X2: $i] :
            ( ~ ( cP_4 @ X1 @ X2 )
            | ( cP_4 @ ( f @ X1 ) @ X2 ) )
        & ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
            ( ~ ( cQ_4 @ X1 @ X2 @ X3 )
            | ~ ( cP_4 @ ( f @ X1 ) @ X4 )
            | ~ ( cP_4 @ ( f @ X2 ) @ X5 )
            | ~ ( cP_4 @ ( f @ X3 ) @ X6 )
            | ( cQ_5 @ X4 @ X5 @ X6 ) )
        & ( cP_5 @ a @ a )
        & ( cP_5 @ b @ b )
        & ( cP_5 @ c @ c )
        & ! [X1: $i] : ( cP_5 @ d @ X1 )
        & ! [X1: $i,X2: $i] :
            ( ~ ( cP_5 @ X1 @ X2 )
            | ( cP_5 @ ( f @ X1 ) @ X2 ) )
        & ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
            ( ~ ( cQ_5 @ X1 @ X2 @ X3 )
            | ~ ( cP_5 @ ( f @ X1 ) @ X4 )
            | ~ ( cP_5 @ ( f @ X2 ) @ X5 )
            | ~ ( cP_5 @ ( f @ X3 ) @ X6 )
            | ( cQ_6 @ X4 @ X5 @ X6 ) )
        & ! [X1: $i,X2: $i,X3: $i] :
            ~ ( cQ_6 @ X1 @ X2 @ X3 ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

thf(c_0_3,negated_conjecture,
    ! [X55: $i,X56: $i,X57: $i,X58: $i,X59: $i,X60: $i,X61: $i,X62: $i,X63: $i,X64: $i,X65: $i,X66: $i,X67: $i,X68: $i,X69: $i,X70: $i,X71: $i,X72: $i,X73: $i,X74: $i,X75: $i,X76: $i,X77: $i,X78: $i,X79: $i,X80: $i,X81: $i,X82: $i,X83: $i,X84: $i,X85: $i,X86: $i,X87: $i,X88: $i,X89: $i,X90: $i,X91: $i,X92: $i,X93: $i,X94: $i,X95: $i,X96: $i,X97: $i,X98: $i,X99: $i,X100: $i,X101: $i,X102: $i] :
      ( ( cQ_1 @ a @ b @ c )
      & ( cP_1 @ a @ a )
      & ( cP_1 @ b @ b )
      & ( cP_1 @ c @ c )
      & ( cP_1 @ d @ X55 )
      & ( ~ ( cP_1 @ X56 @ X57 )
        | ( cP_1 @ ( f @ X56 ) @ X57 ) )
      & ( ~ ( cQ_1 @ X58 @ X59 @ X60 )
        | ~ ( cP_1 @ ( f @ X58 ) @ X61 )
        | ~ ( cP_1 @ ( f @ X59 ) @ X62 )
        | ~ ( cP_1 @ ( f @ X60 ) @ X63 )
        | ( cQ_2 @ X61 @ X62 @ X63 ) )
      & ( cP_2 @ a @ a )
      & ( cP_2 @ b @ b )
      & ( cP_2 @ c @ c )
      & ( cP_2 @ d @ X64 )
      & ( ~ ( cP_2 @ X65 @ X66 )
        | ( cP_2 @ ( f @ X65 ) @ X66 ) )
      & ( ~ ( cQ_2 @ X67 @ X68 @ X69 )
        | ~ ( cP_2 @ ( f @ X67 ) @ X70 )
        | ~ ( cP_2 @ ( f @ X68 ) @ X71 )
        | ~ ( cP_2 @ ( f @ X69 ) @ X72 )
        | ( cQ_3 @ X70 @ X71 @ X72 ) )
      & ( cP_3 @ a @ a )
      & ( cP_3 @ b @ b )
      & ( cP_3 @ c @ c )
      & ( cP_3 @ d @ X73 )
      & ( ~ ( cP_3 @ X74 @ X75 )
        | ( cP_3 @ ( f @ X74 ) @ X75 ) )
      & ( ~ ( cQ_3 @ X76 @ X77 @ X78 )
        | ~ ( cP_3 @ ( f @ X76 ) @ X79 )
        | ~ ( cP_3 @ ( f @ X77 ) @ X80 )
        | ~ ( cP_3 @ ( f @ X78 ) @ X81 )
        | ( cQ_4 @ X79 @ X80 @ X81 ) )
      & ( cP_4 @ a @ a )
      & ( cP_4 @ b @ b )
      & ( cP_4 @ c @ c )
      & ( cP_4 @ d @ X82 )
      & ( ~ ( cP_4 @ X83 @ X84 )
        | ( cP_4 @ ( f @ X83 ) @ X84 ) )
      & ( ~ ( cQ_4 @ X85 @ X86 @ X87 )
        | ~ ( cP_4 @ ( f @ X85 ) @ X88 )
        | ~ ( cP_4 @ ( f @ X86 ) @ X89 )
        | ~ ( cP_4 @ ( f @ X87 ) @ X90 )
        | ( cQ_5 @ X88 @ X89 @ X90 ) )
      & ( cP_5 @ a @ a )
      & ( cP_5 @ b @ b )
      & ( cP_5 @ c @ c )
      & ( cP_5 @ d @ X91 )
      & ( ~ ( cP_5 @ X92 @ X93 )
        | ( cP_5 @ ( f @ X92 ) @ X93 ) )
      & ( ~ ( cQ_5 @ X94 @ X95 @ X96 )
        | ~ ( cP_5 @ ( f @ X94 ) @ X97 )
        | ~ ( cP_5 @ ( f @ X95 ) @ X98 )
        | ~ ( cP_5 @ ( f @ X96 ) @ X99 )
        | ( cQ_6 @ X97 @ X98 @ X99 ) )
      & ~ ( cQ_6 @ X100 @ X101 @ X102 ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

thf(c_0_4,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X5: $i,X4: $i,X6: $i] :
      ( ( cQ_2 @ X4 @ X5 @ X6 )
      | ~ ( cQ_1 @ X1 @ X2 @ X3 )
      | ~ ( cP_1 @ ( f @ X1 ) @ X4 )
      | ~ ( cP_1 @ ( f @ X2 ) @ X5 )
      | ~ ( cP_1 @ ( f @ X3 ) @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_5,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cP_1 @ ( f @ X1 ) @ X2 )
      | ~ ( cP_1 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_6,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X5: $i,X4: $i,X6: $i] :
      ( ( cQ_3 @ X4 @ X5 @ X6 )
      | ~ ( cQ_2 @ X1 @ X2 @ X3 )
      | ~ ( cP_2 @ ( f @ X1 ) @ X4 )
      | ~ ( cP_2 @ ( f @ X2 ) @ X5 )
      | ~ ( cP_2 @ ( f @ X3 ) @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_7,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cP_2 @ ( f @ X1 ) @ X2 )
      | ~ ( cP_2 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_8,negated_conjecture,
    ! [X1: $i,X2: $i,X4: $i,X6: $i,X5: $i,X3: $i] :
      ( ( cQ_2 @ X1 @ X2 @ X3 )
      | ~ ( cP_1 @ ( f @ X4 ) @ X2 )
      | ~ ( cP_1 @ ( f @ X5 ) @ X1 )
      | ~ ( cQ_1 @ X5 @ X4 @ X6 )
      | ~ ( cP_1 @ X6 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

thf(c_0_9,negated_conjecture,
    ! [X1: $i,X2: $i,X4: $i,X6: $i,X5: $i,X3: $i] :
      ( ( cQ_3 @ X1 @ X2 @ X3 )
      | ~ ( cP_2 @ ( f @ X4 ) @ X2 )
      | ~ ( cP_2 @ ( f @ X5 ) @ X1 )
      | ~ ( cQ_2 @ X5 @ X4 @ X6 )
      | ~ ( cP_2 @ X6 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

thf(c_0_10,negated_conjecture,
    ! [X1: $i,X4: $i,X6: $i,X5: $i,X3: $i,X2: $i] :
      ( ( cQ_2 @ X1 @ X2 @ X3 )
      | ~ ( cP_1 @ ( f @ X4 ) @ X1 )
      | ~ ( cQ_1 @ X4 @ X5 @ X6 )
      | ~ ( cP_1 @ X6 @ X3 )
      | ~ ( cP_1 @ X5 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_8,c_0_5]) ).

thf(c_0_11,negated_conjecture,
    ! [X1: $i,X4: $i,X6: $i,X5: $i,X3: $i,X2: $i] :
      ( ( cQ_3 @ X1 @ X2 @ X3 )
      | ~ ( cP_2 @ ( f @ X4 ) @ X1 )
      | ~ ( cQ_2 @ X4 @ X5 @ X6 )
      | ~ ( cP_2 @ X6 @ X3 )
      | ~ ( cP_2 @ X5 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_7]) ).

thf(c_0_12,negated_conjecture,
    ! [X2: $i,X6: $i,X5: $i,X4: $i,X3: $i,X1: $i] :
      ( ( cQ_2 @ X1 @ X2 @ X3 )
      | ~ ( cQ_1 @ X4 @ X5 @ X6 )
      | ~ ( cP_1 @ X6 @ X3 )
      | ~ ( cP_1 @ X5 @ X2 )
      | ~ ( cP_1 @ X4 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_5]) ).

thf(c_0_13,negated_conjecture,
    cQ_1 @ a @ b @ c,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_14,negated_conjecture,
    ! [X2: $i,X6: $i,X5: $i,X4: $i,X3: $i,X1: $i] :
      ( ( cQ_3 @ X1 @ X2 @ X3 )
      | ~ ( cQ_2 @ X4 @ X5 @ X6 )
      | ~ ( cP_2 @ X6 @ X3 )
      | ~ ( cP_2 @ X5 @ X2 )
      | ~ ( cP_2 @ X4 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_11,c_0_7]) ).

thf(c_0_15,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i] :
      ( ( cQ_2 @ X1 @ X2 @ X3 )
      | ~ ( cP_1 @ c @ X3 )
      | ~ ( cP_1 @ b @ X2 )
      | ~ ( cP_1 @ a @ X1 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

thf(c_0_16,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X5: $i,X4: $i,X6: $i] :
      ( ( cQ_4 @ X4 @ X5 @ X6 )
      | ~ ( cQ_3 @ X1 @ X2 @ X3 )
      | ~ ( cP_3 @ ( f @ X1 ) @ X4 )
      | ~ ( cP_3 @ ( f @ X2 ) @ X5 )
      | ~ ( cP_3 @ ( f @ X3 ) @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_17,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cP_3 @ ( f @ X1 ) @ X2 )
      | ~ ( cP_3 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_18,negated_conjecture,
    ! [X3: $i,X2: $i,X5: $i,X6: $i,X4: $i,X1: $i] :
      ( ( cQ_3 @ X1 @ X2 @ X3 )
      | ~ ( cP_1 @ c @ X4 )
      | ~ ( cP_1 @ b @ X5 )
      | ~ ( cP_1 @ a @ X6 )
      | ~ ( cP_2 @ X4 @ X3 )
      | ~ ( cP_2 @ X5 @ X2 )
      | ~ ( cP_2 @ X6 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

thf(c_0_19,negated_conjecture,
    cP_1 @ c @ c,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_20,negated_conjecture,
    ! [X1: $i,X2: $i,X4: $i,X6: $i,X5: $i,X3: $i] :
      ( ( cQ_4 @ X1 @ X2 @ X3 )
      | ~ ( cP_3 @ ( f @ X4 ) @ X2 )
      | ~ ( cP_3 @ ( f @ X5 ) @ X1 )
      | ~ ( cQ_3 @ X5 @ X4 @ X6 )
      | ~ ( cP_3 @ X6 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

thf(c_0_21,negated_conjecture,
    ! [X2: $i,X4: $i,X5: $i,X3: $i,X1: $i] :
      ( ( cQ_3 @ X1 @ X2 @ X3 )
      | ~ ( cP_1 @ b @ X4 )
      | ~ ( cP_1 @ a @ X5 )
      | ~ ( cP_2 @ c @ X3 )
      | ~ ( cP_2 @ X4 @ X2 )
      | ~ ( cP_2 @ X5 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

thf(c_0_22,negated_conjecture,
    cP_1 @ b @ b,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_23,negated_conjecture,
    ! [X1: $i,X4: $i,X6: $i,X5: $i,X3: $i,X2: $i] :
      ( ( cQ_4 @ X1 @ X2 @ X3 )
      | ~ ( cP_3 @ ( f @ X4 ) @ X1 )
      | ~ ( cQ_3 @ X4 @ X5 @ X6 )
      | ~ ( cP_3 @ X6 @ X3 )
      | ~ ( cP_3 @ X5 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_17]) ).

thf(c_0_24,negated_conjecture,
    ! [X2: $i,X4: $i,X3: $i,X1: $i] :
      ( ( cQ_3 @ X1 @ X2 @ X3 )
      | ~ ( cP_1 @ a @ X4 )
      | ~ ( cP_2 @ c @ X3 )
      | ~ ( cP_2 @ b @ X2 )
      | ~ ( cP_2 @ X4 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

thf(c_0_25,negated_conjecture,
    cP_1 @ a @ a,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_26,negated_conjecture,
    ! [X2: $i,X6: $i,X5: $i,X4: $i,X3: $i,X1: $i] :
      ( ( cQ_4 @ X1 @ X2 @ X3 )
      | ~ ( cQ_3 @ X4 @ X5 @ X6 )
      | ~ ( cP_3 @ X6 @ X3 )
      | ~ ( cP_3 @ X5 @ X2 )
      | ~ ( cP_3 @ X4 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_23,c_0_17]) ).

thf(c_0_27,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i] :
      ( ( cQ_3 @ X1 @ X2 @ X3 )
      | ~ ( cP_2 @ c @ X3 )
      | ~ ( cP_2 @ b @ X2 )
      | ~ ( cP_2 @ a @ X1 ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

thf(c_0_28,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X5: $i,X4: $i,X6: $i] :
      ( ( cQ_5 @ X4 @ X5 @ X6 )
      | ~ ( cQ_4 @ X1 @ X2 @ X3 )
      | ~ ( cP_4 @ ( f @ X1 ) @ X4 )
      | ~ ( cP_4 @ ( f @ X2 ) @ X5 )
      | ~ ( cP_4 @ ( f @ X3 ) @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_29,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cP_4 @ ( f @ X1 ) @ X2 )
      | ~ ( cP_4 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_30,negated_conjecture,
    ! [X3: $i,X2: $i,X5: $i,X6: $i,X4: $i,X1: $i] :
      ( ( cQ_4 @ X1 @ X2 @ X3 )
      | ~ ( cP_2 @ c @ X4 )
      | ~ ( cP_2 @ b @ X5 )
      | ~ ( cP_2 @ a @ X6 )
      | ~ ( cP_3 @ X4 @ X3 )
      | ~ ( cP_3 @ X5 @ X2 )
      | ~ ( cP_3 @ X6 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

thf(c_0_31,negated_conjecture,
    cP_2 @ c @ c,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_32,negated_conjecture,
    ! [X1: $i,X2: $i,X4: $i,X6: $i,X5: $i,X3: $i] :
      ( ( cQ_5 @ X1 @ X2 @ X3 )
      | ~ ( cP_4 @ ( f @ X4 ) @ X2 )
      | ~ ( cP_4 @ ( f @ X5 ) @ X1 )
      | ~ ( cQ_4 @ X5 @ X4 @ X6 )
      | ~ ( cP_4 @ X6 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

thf(c_0_33,negated_conjecture,
    ! [X2: $i,X4: $i,X5: $i,X3: $i,X1: $i] :
      ( ( cQ_4 @ X1 @ X2 @ X3 )
      | ~ ( cP_2 @ b @ X4 )
      | ~ ( cP_2 @ a @ X5 )
      | ~ ( cP_3 @ c @ X3 )
      | ~ ( cP_3 @ X4 @ X2 )
      | ~ ( cP_3 @ X5 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

thf(c_0_34,negated_conjecture,
    cP_2 @ b @ b,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_35,negated_conjecture,
    ! [X1: $i,X4: $i,X6: $i,X5: $i,X3: $i,X2: $i] :
      ( ( cQ_5 @ X1 @ X2 @ X3 )
      | ~ ( cP_4 @ ( f @ X4 ) @ X1 )
      | ~ ( cQ_4 @ X4 @ X5 @ X6 )
      | ~ ( cP_4 @ X6 @ X3 )
      | ~ ( cP_4 @ X5 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_32,c_0_29]) ).

thf(c_0_36,negated_conjecture,
    ! [X2: $i,X4: $i,X3: $i,X1: $i] :
      ( ( cQ_4 @ X1 @ X2 @ X3 )
      | ~ ( cP_2 @ a @ X4 )
      | ~ ( cP_3 @ c @ X3 )
      | ~ ( cP_3 @ b @ X2 )
      | ~ ( cP_3 @ X4 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

thf(c_0_37,negated_conjecture,
    cP_2 @ a @ a,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_38,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X5: $i,X4: $i,X6: $i] :
      ( ( cQ_6 @ X4 @ X5 @ X6 )
      | ~ ( cQ_5 @ X1 @ X2 @ X3 )
      | ~ ( cP_5 @ ( f @ X1 ) @ X4 )
      | ~ ( cP_5 @ ( f @ X2 ) @ X5 )
      | ~ ( cP_5 @ ( f @ X3 ) @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_39,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i] :
      ~ ( cQ_6 @ X1 @ X2 @ X3 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_40,negated_conjecture,
    ! [X2: $i,X6: $i,X5: $i,X4: $i,X3: $i,X1: $i] :
      ( ( cQ_5 @ X1 @ X2 @ X3 )
      | ~ ( cQ_4 @ X4 @ X5 @ X6 )
      | ~ ( cP_4 @ X6 @ X3 )
      | ~ ( cP_4 @ X5 @ X2 )
      | ~ ( cP_4 @ X4 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_35,c_0_29]) ).

thf(c_0_41,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i] :
      ( ( cQ_4 @ X1 @ X2 @ X3 )
      | ~ ( cP_3 @ c @ X3 )
      | ~ ( cP_3 @ b @ X2 )
      | ~ ( cP_3 @ a @ X1 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

thf(c_0_42,negated_conjecture,
    ! [X6: $i,X5: $i,X4: $i,X3: $i,X2: $i,X1: $i] :
      ( ~ ( cP_5 @ ( f @ X1 ) @ X2 )
      | ~ ( cP_5 @ ( f @ X3 ) @ X4 )
      | ~ ( cP_5 @ ( f @ X5 ) @ X6 )
      | ~ ( cQ_5 @ X5 @ X3 @ X1 ) ),
    inference(sr,[status(thm)],[c_0_38,c_0_39]) ).

thf(c_0_43,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( cP_5 @ ( f @ X1 ) @ X2 )
      | ~ ( cP_5 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_44,negated_conjecture,
    ! [X3: $i,X2: $i,X5: $i,X6: $i,X4: $i,X1: $i] :
      ( ( cQ_5 @ X1 @ X2 @ X3 )
      | ~ ( cP_3 @ c @ X4 )
      | ~ ( cP_3 @ b @ X5 )
      | ~ ( cP_3 @ a @ X6 )
      | ~ ( cP_4 @ X4 @ X3 )
      | ~ ( cP_4 @ X5 @ X2 )
      | ~ ( cP_4 @ X6 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

thf(c_0_45,negated_conjecture,
    cP_3 @ c @ c,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_46,negated_conjecture,
    ! [X1: $i,X3: $i,X2: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( cP_5 @ ( f @ X1 ) @ X2 )
      | ~ ( cP_5 @ ( f @ X3 ) @ X4 )
      | ~ ( cQ_5 @ X3 @ X1 @ X5 )
      | ~ ( cP_5 @ X5 @ X6 ) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

thf(c_0_47,negated_conjecture,
    ! [X2: $i,X4: $i,X5: $i,X3: $i,X1: $i] :
      ( ( cQ_5 @ X1 @ X2 @ X3 )
      | ~ ( cP_3 @ b @ X4 )
      | ~ ( cP_3 @ a @ X5 )
      | ~ ( cP_4 @ c @ X3 )
      | ~ ( cP_4 @ X4 @ X2 )
      | ~ ( cP_4 @ X5 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

thf(c_0_48,negated_conjecture,
    cP_3 @ b @ b,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_49,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( cP_5 @ ( f @ X1 ) @ X2 )
      | ~ ( cQ_5 @ X1 @ X3 @ X4 )
      | ~ ( cP_5 @ X4 @ X5 )
      | ~ ( cP_5 @ X3 @ X6 ) ),
    inference(spm,[status(thm)],[c_0_46,c_0_43]) ).

thf(c_0_50,negated_conjecture,
    ! [X2: $i,X4: $i,X3: $i,X1: $i] :
      ( ( cQ_5 @ X1 @ X2 @ X3 )
      | ~ ( cP_3 @ a @ X4 )
      | ~ ( cP_4 @ c @ X3 )
      | ~ ( cP_4 @ b @ X2 )
      | ~ ( cP_4 @ X4 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

thf(c_0_51,negated_conjecture,
    cP_3 @ a @ a,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_52,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( cQ_5 @ X1 @ X2 @ X3 )
      | ~ ( cP_5 @ X3 @ X4 )
      | ~ ( cP_5 @ X2 @ X5 )
      | ~ ( cP_5 @ X1 @ X6 ) ),
    inference(spm,[status(thm)],[c_0_49,c_0_43]) ).

thf(c_0_53,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i] :
      ( ( cQ_5 @ X1 @ X2 @ X3 )
      | ~ ( cP_4 @ c @ X3 )
      | ~ ( cP_4 @ b @ X2 )
      | ~ ( cP_4 @ a @ X1 ) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

thf(c_0_54,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( cP_4 @ c @ X1 )
      | ~ ( cP_4 @ b @ X2 )
      | ~ ( cP_4 @ a @ X3 )
      | ~ ( cP_5 @ X1 @ X4 )
      | ~ ( cP_5 @ X2 @ X5 )
      | ~ ( cP_5 @ X3 @ X6 ) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

thf(c_0_55,negated_conjecture,
    cP_4 @ c @ c,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_56,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_4 @ b @ X1 )
      | ~ ( cP_4 @ a @ X2 )
      | ~ ( cP_5 @ c @ X3 )
      | ~ ( cP_5 @ X1 @ X4 )
      | ~ ( cP_5 @ X2 @ X5 ) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

thf(c_0_57,negated_conjecture,
    cP_4 @ b @ b,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_58,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( cP_4 @ a @ X1 )
      | ~ ( cP_5 @ c @ X2 )
      | ~ ( cP_5 @ b @ X3 )
      | ~ ( cP_5 @ X1 @ X4 ) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

thf(c_0_59,negated_conjecture,
    cP_4 @ a @ a,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_60,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ~ ( cP_5 @ c @ X1 )
      | ~ ( cP_5 @ b @ X2 )
      | ~ ( cP_5 @ a @ X3 ) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

thf(c_0_61,negated_conjecture,
    cP_5 @ c @ c,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_62,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ~ ( cP_5 @ b @ X1 )
      | ~ ( cP_5 @ a @ X2 ) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

thf(c_0_63,negated_conjecture,
    cP_5 @ b @ b,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_64,negated_conjecture,
    cP_5 @ a @ a,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_65,negated_conjecture,
    ! [X1: $i] :
      ~ ( cP_5 @ a @ X1 ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

thf(c_0_66,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_64,c_0_65]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYO388^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17  % Computer : n011.cluster.edu
% 0.08/0.17  % Model    : x86_64 x86_64
% 0.08/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17  % Memory   : 8046.5625MB
% 0.08/0.17  % OS       : Linux 6.8.0-71-generic
% 0.08/0.17  % CPULimit : 300
% 0.08/0.17  % WCLimit  : 300
% 0.08/0.17  % DateTime : Tue Sep 29 16:50:16 UTC 2026
% 0.08/0.17  % CPUTime  : 
% 0.08/0.17  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running higher-order theorem proving
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.1Jcl2NJ0Ld/E---3.1_337692.p
% 0.08/0.26  % Version: 3.5.1-ho
% 0.08/0.26  % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.08/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26  % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.26  % Starting new_bool_1 with 300s (1) cores
% 0.08/0.26  % Starting full_lambda_5 with 300s (1) cores
% 0.08/0.26  % Starting new_ho_10_unif with 300s (1) cores
% 0.08/0.26  % new_ho_10 with pid 337725 completed with status 0
% 0.08/0.26  % Result found by new_ho_10
% 0.08/0.26  % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.08/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26  % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.26  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.26  % No SInE strategy applied
% 0.08/0.26  % Search class: HHUNM-FFMM11-SFFFFFNN
% 0.08/0.26  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.26  % Starting SubtermCWHack with 151s (1) cores
% 0.08/0.26  % Starting new_ho_10 with 901s (1) cores
% 0.08/0.26  % Starting sh5l with 151s (1) cores
% 0.08/0.26  % Starting new_bool_1 with 151s (1) cores
% 0.08/0.26  % Starting new_bool_2 with 146s (1) cores
% 0.08/0.26  % new_ho_10 with pid 337730 completed with status 0
% 0.08/0.26  % Result found by new_ho_10
% 0.08/0.26  % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.08/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26  % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.26  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.26  % No SInE strategy applied
% 0.08/0.26  % Search class: HHUNM-FFMM11-SFFFFFNN
% 0.08/0.26  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.26  % Starting SubtermCWHack with 151s (1) cores
% 0.08/0.26  % Starting new_ho_10 with 901s (1) cores
% 0.08/0.26  % Preprocessing time       : 0.001 s
% 0.08/0.26  % Presaturation interreduction done
% 0.08/0.26  
% 0.08/0.26  % Proof found!
% 0.08/0.26  % SZS status Theorem
% 0.08/0.26  % SZS output start CNFRefutation
% See solution above
% 0.08/0.26  % Parsed axioms                        : 17
% 0.08/0.26  % Removed by relevancy pruning/SinE    : 0
% 0.08/0.26  % Initial clauses                      : 48
% 0.08/0.26  % Removed in clause preprocessing      : 16
% 0.08/0.26  % Initial clauses in saturation        : 32
% 0.08/0.26  % Processed clauses                    : 98
% 0.08/0.26  % ...of these trivial                  : 0
% 0.08/0.26  % ...subsumed                          : 0
% 0.08/0.26  % ...remaining for further processing  : 98
% 0.08/0.26  % Other redundant clauses eliminated   : 0
% 0.08/0.26  % Clauses deleted for lack of memory   : 0
% 0.08/0.26  % Backward-subsumed                    : 2
% 0.08/0.26  % Backward-rewritten                   : 0
% 0.08/0.26  % Generated clauses                    : 35
% 0.08/0.26  % ...of the previous two non-redundant : 34
% 0.08/0.26  % ...aggressively subsumed             : 0
% 0.08/0.26  % Contextual simplify-reflections      : 0
% 0.08/0.26  % Paramodulations                      : 34
% 0.08/0.26  % Factorizations                       : 0
% 0.08/0.26  % NegExts                              : 0
% 0.08/0.26  % Equation resolutions                 : 0
% 0.08/0.26  % Disequality decompositions           : 0
% 0.08/0.26  % Total rewrite steps                  : 0
% 0.08/0.26  % ...of those cached                   : 0
% 0.08/0.26  % Propositional unsat checks           : 0
% 0.08/0.26  %    Propositional check models        : 0
% 0.08/0.26  %    Propositional check unsatisfiable : 0
% 0.08/0.26  %    Propositional clauses             : 0
% 0.08/0.26  %    Propositional clauses after purity: 0
% 0.08/0.26  %    Propositional unsat core size     : 0
% 0.08/0.26  %    Propositional preprocessing time  : 0.000
% 0.08/0.26  %    Propositional encoding time       : 0.000
% 0.08/0.26  %    Propositional solver time         : 0.000
% 0.08/0.26  %    Success case prop preproc time    : 0.000
% 0.08/0.26  %    Success case prop encoding time   : 0.000
% 0.08/0.26  %    Success case prop solver time     : 0.000
% 0.08/0.26  % Current number of processed clauses  : 63
% 0.08/0.26  %    Positive orientable unit clauses  : 20
% 0.08/0.26  %    Positive unorientable unit clauses: 0
% 0.08/0.26  %    Negative unit clauses             : 2
% 0.08/0.26  %    Non-unit-clauses                  : 41
% 0.08/0.26  % Current number of unprocessed clauses: 0
% 0.08/0.26  % ...number of literals in the above   : 0
% 0.08/0.26  % Current number of archived formulas  : 0
% 0.08/0.26  % Current number of archived clauses   : 35
% 0.08/0.26  % Clause-clause subsumption calls (NU) : 339
% 0.08/0.26  % Rec. Clause-clause subsumption calls : 77
% 0.08/0.26  % Non-unit clause-clause subsumptions  : 1
% 0.08/0.26  % Unit Clause-clause subsumption calls : 9
% 0.08/0.26  % Rewrite failures with RHS unbound    : 0
% 0.08/0.26  % BW rewrite match attempts            : 0
% 0.08/0.26  % BW rewrite match successes           : 0
% 0.08/0.26  % Condensation attempts                : 98
% 0.08/0.26  % Condensation successes               : 0
% 0.08/0.26  % Termbank termtop insertions          : 5789
% 0.08/0.26  % Search garbage collected termcells   : 471
% 0.08/0.26  
% 0.08/0.26  % -------------------------------------------------
% 0.08/0.26  % User time                : 0.006 s
% 0.08/0.26  % System time              : 0.004 s
% 0.08/0.26  % Total time               : 0.010 s
% 0.08/0.26  % Maximum resident set size: 3668 pages
% 0.08/0.26  
% 0.08/0.26  % -------------------------------------------------
% 0.08/0.26  % User time                : 0.028 s
% 0.08/0.26  % System time              : 0.013 s
% 0.08/0.26  % Total time               : 0.041 s
% 0.08/0.26  % Maximum resident set size: 4864 pages
% 0.08/0.26  % E exiting
%------------------------------------------------------------------------------