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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR132^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 07:46:36 AM UTC 2026

% Result   : Theorem 0.09s 0.26s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   38 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :  191 (  32 equ;   0 cnn)
%            Maximal formula atoms :   28 (   5 avg)
%            Number of connectives :  430 (  66   ~;  66   |;  32   &; 266   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   28 (  28   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :  110 (  64   ^;  25   !;  21   ?; 110   :)

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

thf(decl_24,type,
    lAnna_THFTYPE_i: $i ).

thf(decl_26,type,
    lBill_THFTYPE_i: $i ).

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

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

thf(decl_30,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

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

thf(decl_32,type,
    n2009_THFTYPE_i: $i ).

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

thf(decl_34,type,
    esk1_0: $i ).

thf(decl_35,type,
    esk2_0: $i ).

thf(decl_36,type,
    esk3_0: $i ).

thf(decl_37,type,
    esk4_0: $i ).

thf(con,conjecture,
    ? [X3: $i > $i > $o,X4: $i > $i > $o,X2: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( X4 @ X2 @ lBill_THFTYPE_i )
        & ( X3 @ X2 @ lAnna_THFTYPE_i )
        & ( X4
         != ( ^ [X5: $i,X6: $i] : $true ) )
        & ( X3
         != ( ^ [X5: $i,X6: $i] : $true ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.q6lh0EDmzm/E---3.1_424610.p',con) ).

thf(ax_004,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox/tmp/tmp.q6lh0EDmzm/E---3.1_424610.p',ax_004) ).

thf(ax_005,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ? [X1: $i,X2: $i] :
        ~ ( likes_THFTYPE_IiioI @ X1 @ X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.q6lh0EDmzm/E---3.1_424610.p',ax_005) ).

thf(ax_007,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ),
    file('/export/starexec/sandbox/tmp/tmp.q6lh0EDmzm/E---3.1_424610.p',ax_007) ).

thf(ax_003,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox/tmp/tmp.q6lh0EDmzm/E---3.1_424610.p',ax_003) ).

thf(ax_001,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ? [X1: $i,X2: $i] :
        ~ ( parent_THFTYPE_IiioI @ X1 @ X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.q6lh0EDmzm/E---3.1_424610.p',ax_001) ).

thf(c_0_6,negated_conjecture,
    ~ ? [X3: $i > $i > $o,X4: $i > $i > $o,X2: $i] :
        ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ( X4 @ X2 @ lBill_THFTYPE_i )
          & ( X3 @ X2 @ lAnna_THFTYPE_i )
          & ( X4
           != ( ^ [X5: $i,X6: $i] : $true ) )
          & ( X3
           != ( ^ [X5: $i,X6: $i] : $true ) ) ) ),
    inference(assume_negation,[status(cth)],[con]) ).

thf(c_0_7,axiom,
    ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fool_unroll,[status(thm)],[ax_004]) ).

thf(c_0_8,plain,
    ( ( ~ ? [X1: $i,X2: $i] :
            ~ ( likes_THFTYPE_IiioI @ X1 @ X2 )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ? [X1: $i,X2: $i] :
          ~ ( likes_THFTYPE_IiioI @ X1 @ X2 )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_005])]) ).

thf(c_0_9,negated_conjecture,
    ~ ? [X3: $i > $i > $o,X4: $i > $i > $o,X2: $i] :
        ( ( ~ ( ( X4 @ X2 @ lBill_THFTYPE_i )
              & ( X3 @ X2 @ lAnna_THFTYPE_i )
              & ( X4
               != ( ^ [Z0: $i,Z1: $i] : $true ) )
              & ( X3
               != ( ^ [Z0: $i,Z1: $i] : $true ) ) )
          | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
        & ( ( ( X4 @ X2 @ lBill_THFTYPE_i )
            & ( X3 @ X2 @ lAnna_THFTYPE_i )
            & ( X4
             != ( ^ [Z0: $i,Z1: $i] : $true ) )
            & ( X3
             != ( ^ [Z0: $i,Z1: $i] : $true ) ) )
          | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_6])])]) ).

thf(c_0_10,plain,
    ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_nnf,[status(thm)],[c_0_7]) ).

thf(c_0_11,plain,
    ! [X17: $i,X18: $i] :
      ( ( ( likes_THFTYPE_IiioI @ X17 @ X18 )
        | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
      & ( ~ ( likes_THFTYPE_IiioI @ esk3_0 @ esk4_0 )
        | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).

thf(c_0_12,axiom,
    ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fool_unroll,[status(thm)],[ax_007]) ).

thf(c_0_13,negated_conjecture,
    ! [X10: $i > $i > $o,X11: $i > $i > $o,X12: $i] :
      ( ( ~ ( X11 @ X12 @ lBill_THFTYPE_i )
        | ~ ( X10 @ X12 @ lAnna_THFTYPE_i )
        | ( X11
          = ( ^ [Z0: $i,Z1: $i] : $true ) )
        | ( X10
          = ( ^ [Z0: $i,Z1: $i] : $true ) )
        | ( X11 @ X12 @ lBill_THFTYPE_i ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ( X11 @ X12 @ lBill_THFTYPE_i ) )
      & ( ~ ( X11 @ X12 @ lBill_THFTYPE_i )
        | ~ ( X10 @ X12 @ lAnna_THFTYPE_i )
        | ( X11
          = ( ^ [Z0: $i,Z1: $i] : $true ) )
        | ( X10
          = ( ^ [Z0: $i,Z1: $i] : $true ) )
        | ( X10 @ X12 @ lAnna_THFTYPE_i ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ( X10 @ X12 @ lAnna_THFTYPE_i ) )
      & ( ~ ( X11 @ X12 @ lBill_THFTYPE_i )
        | ~ ( X10 @ X12 @ lAnna_THFTYPE_i )
        | ( X11
          = ( ^ [Z0: $i,Z1: $i] : $true ) )
        | ( X10
          = ( ^ [Z0: $i,Z1: $i] : $true ) )
        | ( X11
         != ( ^ [Z0: $i,Z1: $i] : $true ) ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ( X11
         != ( ^ [Z0: $i,Z1: $i] : $true ) ) )
      & ( ~ ( X11 @ X12 @ lBill_THFTYPE_i )
        | ~ ( X10 @ X12 @ lAnna_THFTYPE_i )
        | ( X11
          = ( ^ [Z0: $i,Z1: $i] : $true ) )
        | ( X10
          = ( ^ [Z0: $i,Z1: $i] : $true ) )
        | ( X10
         != ( ^ [Z0: $i,Z1: $i] : $true ) ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ( X10
         != ( ^ [Z0: $i,Z1: $i] : $true ) ) )
      & ( ~ ( X11 @ X12 @ lBill_THFTYPE_i )
        | ~ ( X10 @ X12 @ lAnna_THFTYPE_i )
        | ( X11
          = ( ^ [Z0: $i,Z1: $i] : $true ) )
        | ( X10
          = ( ^ [Z0: $i,Z1: $i] : $true ) )
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).

thf(c_0_14,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
    | ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_15,plain,
    ! [X1: $i,X2: $i] :
      ( ( likes_THFTYPE_IiioI @ X1 @ X2 )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_16,plain,
    ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_nnf,[status(thm)],[c_0_12]) ).

thf(c_0_17,negated_conjecture,
    ! [X3: $i > $i > $o] :
      ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
      | ( X3
       != ( ^ [Z0: $i,Z1: $i] : $true ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

thf(c_0_18,axiom,
    ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fool_unroll,[status(thm)],[ax_003]) ).

thf(c_0_19,negated_conjecture,
    ! [X4: $i > $i > $o,X3: $i > $i > $o,X1: $i] :
      ( ( X3
        = ( ^ [Z0: $i,Z1: $i] : $true ) )
      | ( X4
        = ( ^ [Z0: $i,Z1: $i] : $true ) )
      | ~ ( X3 @ X1 @ lBill_THFTYPE_i )
      | ~ ( X4 @ X1 @ lAnna_THFTYPE_i )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

thf(c_0_20,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
    inference(csr,[status(thm)],[c_0_14,c_0_15]) ).

thf(c_0_21,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
    | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_22,negated_conjecture,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ),
    inference(er,[status(thm)],[c_0_17]) ).

thf(c_0_23,plain,
    ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_nnf,[status(thm)],[c_0_18]) ).

thf(c_0_24,negated_conjecture,
    ! [X4: $i > $i > $o,X3: $i > $i > $o,X1: $i] :
      ( ( X3
        = ( ^ [Z0: $i,Z1: $i] : $true ) )
      | ( X4
        = ( ^ [Z0: $i,Z1: $i] : $true ) )
      | ~ ( X4 @ X1 @ lAnna_THFTYPE_i )
      | ~ ( X3 @ X1 @ lBill_THFTYPE_i ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).

thf(c_0_25,plain,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
    inference(sr,[status(thm)],[c_0_21,c_0_22]) ).

thf(c_0_26,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
    | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

thf(c_0_27,negated_conjecture,
    ! [X3: $i > $i > $o] :
      ( ( ( ^ [Z0: $i,Z1: $i] : $true )
        = parent_THFTYPE_IiioI )
      | ( X3
        = ( ^ [Z0: $i,Z1: $i] : $true ) )
      | ~ ( X3 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

thf(c_0_28,plain,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    inference(sr,[status(thm)],[c_0_26,c_0_22]) ).

thf(c_0_29,negated_conjecture,
    ( ( ( ^ [Z0: $i,Z1: $i] : $true )
      = likes_THFTYPE_IiioI )
    | ( ( ^ [Z0: $i,Z1: $i] : $true )
      = parent_THFTYPE_IiioI ) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

thf(c_0_30,plain,
    ( ( ~ ? [X1: $i,X2: $i] :
            ~ ( parent_THFTYPE_IiioI @ X1 @ X2 )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ? [X1: $i,X2: $i] :
          ~ ( parent_THFTYPE_IiioI @ X1 @ X2 )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_001])]) ).

thf(c_0_31,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( ( ^ [Z0: $i,Z1: $i] : $true )
        = parent_THFTYPE_IiioI )
      | ( likes_THFTYPE_IiioI @ X1 @ X2 ) ),
    inference(arg_cong,[status(thm)],[c_0_29]) ).

thf(c_0_32,plain,
    ! [X13: $i,X14: $i] :
      ( ( ( parent_THFTYPE_IiioI @ X13 @ X14 )
        | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
      & ( ~ ( parent_THFTYPE_IiioI @ esk1_0 @ esk2_0 )
        | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])]) ).

thf(c_0_33,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
    | ~ ( likes_THFTYPE_IiioI @ esk3_0 @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_34,negated_conjecture,
    ! [X1: $i,X2: $i,X5: $i,X6: $i] :
      ( ( likes_THFTYPE_IiioI @ X1 @ X2 )
      | ( parent_THFTYPE_IiioI @ X5 @ X6 ) ),
    inference(arg_cong,[status(thm)],[c_0_31]) ).

thf(c_0_35,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
    | ~ ( parent_THFTYPE_IiioI @ esk1_0 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_36,negated_conjecture,
    ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_22]) ).

thf(c_0_37,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]),c_0_22]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR132^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17  % Computer : n018.cluster.edu
% 0.09/0.17  % Model    : x86_64 x86_64
% 0.09/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17  % Memory   : 8046.5625MB
% 0.09/0.17  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.17  % DateTime : Tue Sep 29 17:57:56 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running higher-order theorem proving
% 0.09/0.23  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.q6lh0EDmzm/E---3.1_424610.p
% 0.09/0.25  % Version: 3.5.1-ho
% 0.09/0.25  % Preprocessing class: HSMSSMSSSSMNSSN.
% 0.09/0.25  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.25  % Starting new_ho_10 with 1500s (5) cores
% 0.09/0.25  % Starting sh5l with 300s (1) cores
% 0.09/0.25  % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.09/0.25  % Starting lpo1_def_fix with 300s (1) cores
% 0.09/0.25  % sh5l with pid 424624 completed with status 0
% 0.09/0.25  % Result found by sh5l
% 0.09/0.25  % Preprocessing class: HSMSSMSSSSMNSSN.
% 0.09/0.25  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.25  % Starting new_ho_10 with 1500s (5) cores
% 0.09/0.25  % Starting sh5l with 300s (1) cores
% 0.09/0.25  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.09/0.25  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.09/0.25  % Search class: HGHSF-FFSM11-SSSFFSBN
% 0.09/0.25  % partial match(1): HGHSF-FFSF11-SSSFFSBN
% 0.09/0.25  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.25  % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.25  % SubtermCWHack with pid 424627 completed with status 0
% 0.09/0.25  % Result found by SubtermCWHack
% 0.09/0.25  % Preprocessing class: HSMSSMSSSSMNSSN.
% 0.09/0.25  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.26  % Starting new_ho_10 with 1500s (5) cores
% 0.09/0.26  % Starting sh5l with 300s (1) cores
% 0.09/0.26  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.09/0.26  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.09/0.26  % Search class: HGHSF-FFSM11-SSSFFSBN
% 0.09/0.26  % partial match(1): HGHSF-FFSF11-SSSFFSBN
% 0.09/0.26  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.26  % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.26  % Preprocessing time       : 0.001 s
% 0.09/0.26  
% 0.09/0.26  % Proof found!
% 0.09/0.26  % SZS status Theorem
% 0.09/0.26  % SZS output start CNFRefutation
% See solution above
% 0.09/0.26  % Parsed axioms                        : 22
% 0.09/0.26  % Removed by relevancy pruning/SinE    : 12
% 0.09/0.26  % Initial clauses                      : 28
% 0.09/0.26  % Removed in clause preprocessing      : 4
% 0.09/0.26  % Initial clauses in saturation        : 24
% 0.09/0.26  % Processed clauses                    : 40
% 0.09/0.26  % ...of these trivial                  : 6
% 0.09/0.26  % ...subsumed                          : 4
% 0.09/0.26  % ...remaining for further processing  : 30
% 0.09/0.26  % Other redundant clauses eliminated   : 1
% 0.09/0.26  % Clauses deleted for lack of memory   : 0
% 0.09/0.26  % Backward-subsumed                    : 2
% 0.09/0.26  % Backward-rewritten                   : 7
% 0.09/0.26  % Generated clauses                    : 50
% 0.09/0.26  % ...of the previous two non-redundant : 46
% 0.09/0.26  % ...aggressively subsumed             : 0
% 0.09/0.26  % Contextual simplify-reflections      : 1
% 0.09/0.26  % Paramodulations                      : 20
% 0.09/0.26  % Factorizations                       : 1
% 0.09/0.26  % NegExts                              : 0
% 0.09/0.26  % Equation resolutions                 : 1
% 0.09/0.26  % Disequality decompositions           : 0
% 0.09/0.26  % Total rewrite steps                  : 15
% 0.09/0.26  % ...of those cached                   : 7
% 0.09/0.26  % Propositional unsat checks           : 0
% 0.09/0.26  %    Propositional check models        : 0
% 0.09/0.26  %    Propositional check unsatisfiable : 0
% 0.09/0.26  %    Propositional clauses             : 0
% 0.09/0.26  %    Propositional clauses after purity: 0
% 0.09/0.26  %    Propositional unsat core size     : 0
% 0.09/0.26  %    Propositional preprocessing time  : 0.000
% 0.09/0.26  %    Propositional encoding time       : 0.000
% 0.09/0.26  %    Propositional solver time         : 0.000
% 0.09/0.26  %    Success case prop preproc time    : 0.000
% 0.09/0.26  %    Success case prop encoding time   : 0.000
% 0.09/0.26  %    Success case prop solver time     : 0.000
% 0.09/0.26  % Current number of processed clauses  : 13
% 0.09/0.26  %    Positive orientable unit clauses  : 5
% 0.09/0.26  %    Positive unorientable unit clauses: 0
% 0.09/0.26  %    Negative unit clauses             : 1
% 0.09/0.26  %    Non-unit-clauses                  : 7
% 0.09/0.26  % Current number of unprocessed clauses: 30
% 0.09/0.26  % ...number of literals in the above   : 97
% 0.09/0.26  % Current number of archived formulas  : 0
% 0.09/0.26  % Current number of archived clauses   : 16
% 0.09/0.26  % Clause-clause subsumption calls (NU) : 32
% 0.09/0.26  % Rec. Clause-clause subsumption calls : 25
% 0.09/0.26  % Non-unit clause-clause subsumptions  : 1
% 0.09/0.26  % Unit Clause-clause subsumption calls : 13
% 0.09/0.26  % Rewrite failures with RHS unbound    : 0
% 0.09/0.26  % BW rewrite match attempts            : 9
% 0.09/0.26  % BW rewrite match successes           : 8
% 0.09/0.26  % Condensation attempts                : 0
% 0.09/0.26  % Condensation successes               : 0
% 0.09/0.26  % Termbank termtop insertions          : 2385
% 0.09/0.26  % Search garbage collected termcells   : 215
% 0.09/0.26  
% 0.09/0.26  % -------------------------------------------------
% 0.09/0.26  % User time                : 0.005 s
% 0.09/0.26  % System time              : 0.002 s
% 0.09/0.26  % Total time               : 0.007 s
% 0.09/0.26  % Maximum resident set size: 3592 pages
% 0.09/0.26  
% 0.09/0.26  % -------------------------------------------------
% 0.09/0.26  % User time                : 0.008 s
% 0.09/0.26  % System time              : 0.006 s
% 0.09/0.26  % Total time               : 0.014 s
% 0.09/0.26  % Maximum resident set size: 4608 pages
% 0.09/0.26  % E exiting
%------------------------------------------------------------------------------