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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEV010^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 08:34:32 AM UTC 2026

% Result   : Theorem 34.38s 5.43s
% Output   : CNFRefutation 34.38s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    a: $tType ).

thf(decl_23,type,
    epred1_0: a > a > $o ).

thf(decl_24,type,
    epred2_0: a > $o ).

thf(decl_25,type,
    esk1_0: a ).

thf(decl_26,type,
    esk2_0: a ).

thf(decl_27,type,
    esk3_1: ( a > $o ) > a ).

thf(decl_28,type,
    esk4_1: ( a > $o ) > a ).

thf(decl_29,type,
    epred3_1: ( a > $o ) > a > $o ).

thf(decl_30,type,
    esk5_1: ( a > $o ) > a ).

thf(decl_31,type,
    esk6_1: ( a > $o ) > a ).

thf(decl_32,type,
    esk7_1: ( a > $o ) > a ).

thf(decl_64,type,
    esk39_0: a ).

thf(decl_71,type,
    esk46_0: a ).

thf(decl_127,type,
    esk102_0: a ).

thf(decl_133,type,
    esk108_0: a ).

thf(decl_144,type,
    esk119_0: a ).

thf(decl_145,type,
    esk120_0: a ).

thf(cTHM260_pme,conjecture,
    ! [X1: a > a > $o] :
      ( ( ! [X2: a] : ( X1 @ X2 @ X2 )
        & ! [X2: a,X3: a] :
            ( ( X1 @ X2 @ X3 )
           => ( X1 @ X3 @ X2 ) )
        & ! [X2: a,X3: a,X4: a] :
            ( ( ( X1 @ X2 @ X3 )
              & ( X1 @ X3 @ X4 ) )
           => ( X1 @ X2 @ X4 ) ) )
     => ( ! [X5: a > $o] :
            ( ( ? [X4: a] : ( X5 @ X4 )
              & ! [X2: a] :
                  ( ( X5 @ X2 )
                 => ! [X3: a] :
                      ( ( X5 @ X3 )
                    <=> ( X1 @ X2 @ X3 ) ) ) )
           => ? [X4: a] : ( X5 @ X4 ) )
        & ! [X2: a] :
          ? [X5: a > $o] :
            ( ? [X4: a] : ( X5 @ X4 )
            & ! [X6: a] :
                ( ( X5 @ X6 )
               => ! [X3: a] :
                    ( ( X5 @ X3 )
                  <=> ( X1 @ X6 @ X3 ) ) )
            & ( X5 @ X2 )
            & ! [X7: a > $o] :
                ( ( ? [X4: a] : ( X7 @ X4 )
                  & ! [X6: a] :
                      ( ( X7 @ X6 )
                     => ! [X3: a] :
                          ( ( X7 @ X3 )
                        <=> ( X1 @ X6 @ X3 ) ) )
                  & ( X7 @ X2 ) )
               => ( X7 = X5 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.oscCLYwyk2/E---3.1_3468297.p',cTHM260_pme) ).

thf(c_0_1,negated_conjecture,
    ~ ! [X1: a > a > $o] :
        ( ( ! [X2: a] : ( X1 @ X2 @ X2 )
          & ! [X2: a,X3: a] :
              ( ( X1 @ X2 @ X3 )
             => ( X1 @ X3 @ X2 ) )
          & ! [X2: a,X3: a,X4: a] :
              ( ( ( X1 @ X2 @ X3 )
                & ( X1 @ X3 @ X4 ) )
             => ( X1 @ X2 @ X4 ) ) )
       => ( ! [X5: a > $o] :
              ( ( ? [X4: a] : ( X5 @ X4 )
                & ! [X2: a] :
                    ( ( X5 @ X2 )
                   => ! [X3: a] :
                        ( ( X5 @ X3 )
                      <=> ( X1 @ X2 @ X3 ) ) ) )
             => ? [X4: a] : ( X5 @ X4 ) )
          & ! [X2: a] :
            ? [X5: a > $o] :
              ( ? [X4: a] : ( X5 @ X4 )
              & ! [X6: a] :
                  ( ( X5 @ X6 )
                 => ! [X3: a] :
                      ( ( X5 @ X3 )
                    <=> ( X1 @ X6 @ X3 ) ) )
              & ( X5 @ X2 )
              & ! [X7: a > $o] :
                  ( ( ? [X4: a] : ( X7 @ X4 )
                    & ! [X6: a] :
                        ( ( X7 @ X6 )
                       => ! [X3: a] :
                            ( ( X7 @ X3 )
                          <=> ( X1 @ X6 @ X3 ) ) )
                    & ( X7 @ X2 ) )
                 => ( X7 = X5 ) ) ) ) ),
    inference(assume_negation,[status(cth)],[cTHM260_pme]) ).

thf(c_0_2,negated_conjecture,
    ! [X30: a,X31: a,X32: a,X33: a,X34: a,X35: a,X38: a,X39: a,X40: a,X42: a > $o,X43: a,X48: a,X49: a] :
      ( ( epred1_0 @ X30 @ X30 )
      & ( ~ ( epred1_0 @ X31 @ X32 )
        | ( epred1_0 @ X32 @ X31 ) )
      & ( ~ ( epred1_0 @ X33 @ X34 )
        | ~ ( epred1_0 @ X34 @ X35 )
        | ( epred1_0 @ X33 @ X35 ) )
      & ( ( epred3_1 @ X42 @ ( esk5_1 @ X42 ) )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ( epred2_0 @ esk1_0 ) )
      & ( ~ ( epred3_1 @ X42 @ X49 )
        | ( epred1_0 @ X48 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ( epred2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ X48 @ X49 )
        | ( epred3_1 @ X42 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ( epred2_0 @ esk1_0 ) )
      & ( ( epred3_1 @ X42 @ esk2_0 )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ( epred2_0 @ esk1_0 ) )
      & ( ( ( epred3_1 @ X42 )
         != X42 )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ( epred2_0 @ esk1_0 ) )
      & ( ( epred3_1 @ X42 @ ( esk5_1 @ X42 ) )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ( epred2_0 @ esk1_0 ) )
      & ( ~ ( epred3_1 @ X42 @ X49 )
        | ( epred1_0 @ X48 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ( epred2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ X48 @ X49 )
        | ( epred3_1 @ X42 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ( epred2_0 @ esk1_0 ) )
      & ( ( epred3_1 @ X42 @ esk2_0 )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ( epred2_0 @ esk1_0 ) )
      & ( ( ( epred3_1 @ X42 )
         != X42 )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ( epred2_0 @ esk1_0 ) )
      & ( ( epred3_1 @ X42 @ ( esk5_1 @ X42 ) )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ( epred2_0 @ esk1_0 ) )
      & ( ~ ( epred3_1 @ X42 @ X49 )
        | ( epred1_0 @ X48 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ( epred2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ X48 @ X49 )
        | ( epred3_1 @ X42 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ( epred2_0 @ esk1_0 ) )
      & ( ( epred3_1 @ X42 @ esk2_0 )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ( epred2_0 @ esk1_0 ) )
      & ( ( ( epred3_1 @ X42 )
         != X42 )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ( epred2_0 @ esk1_0 ) )
      & ( ( epred3_1 @ X42 @ ( esk5_1 @ X42 ) )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X39 )
        | ( epred1_0 @ X38 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ~ ( epred3_1 @ X42 @ X49 )
        | ( epred1_0 @ X48 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X39 )
        | ( epred1_0 @ X38 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ~ ( epred1_0 @ X48 @ X49 )
        | ( epred3_1 @ X42 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X39 )
        | ( epred1_0 @ X38 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( epred3_1 @ X42 @ esk2_0 )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X39 )
        | ( epred1_0 @ X38 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( ( epred3_1 @ X42 )
         != X42 )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X39 )
        | ( epred1_0 @ X38 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( epred3_1 @ X42 @ ( esk5_1 @ X42 ) )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X39 )
        | ( epred1_0 @ X38 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ~ ( epred3_1 @ X42 @ X49 )
        | ( epred1_0 @ X48 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X39 )
        | ( epred1_0 @ X38 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ~ ( epred1_0 @ X48 @ X49 )
        | ( epred3_1 @ X42 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X39 )
        | ( epred1_0 @ X38 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( epred3_1 @ X42 @ esk2_0 )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X39 )
        | ( epred1_0 @ X38 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( ( epred3_1 @ X42 )
         != X42 )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X39 )
        | ( epred1_0 @ X38 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( epred3_1 @ X42 @ ( esk5_1 @ X42 ) )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X39 )
        | ( epred1_0 @ X38 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ~ ( epred3_1 @ X42 @ X49 )
        | ( epred1_0 @ X48 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X39 )
        | ( epred1_0 @ X38 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ~ ( epred1_0 @ X48 @ X49 )
        | ( epred3_1 @ X42 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X39 )
        | ( epred1_0 @ X38 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( epred3_1 @ X42 @ esk2_0 )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X39 )
        | ( epred1_0 @ X38 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( ( epred3_1 @ X42 )
         != X42 )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X39 )
        | ( epred1_0 @ X38 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( epred3_1 @ X42 @ ( esk5_1 @ X42 ) )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred1_0 @ X38 @ X39 )
        | ( epred2_0 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ~ ( epred3_1 @ X42 @ X49 )
        | ( epred1_0 @ X48 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred1_0 @ X38 @ X39 )
        | ( epred2_0 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ~ ( epred1_0 @ X48 @ X49 )
        | ( epred3_1 @ X42 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred1_0 @ X38 @ X39 )
        | ( epred2_0 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( epred3_1 @ X42 @ esk2_0 )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred1_0 @ X38 @ X39 )
        | ( epred2_0 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( ( epred3_1 @ X42 )
         != X42 )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred1_0 @ X38 @ X39 )
        | ( epred2_0 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( epred3_1 @ X42 @ ( esk5_1 @ X42 ) )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred1_0 @ X38 @ X39 )
        | ( epred2_0 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ~ ( epred3_1 @ X42 @ X49 )
        | ( epred1_0 @ X48 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred1_0 @ X38 @ X39 )
        | ( epred2_0 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ~ ( epred1_0 @ X48 @ X49 )
        | ( epred3_1 @ X42 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred1_0 @ X38 @ X39 )
        | ( epred2_0 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( epred3_1 @ X42 @ esk2_0 )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred1_0 @ X38 @ X39 )
        | ( epred2_0 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( ( epred3_1 @ X42 )
         != X42 )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred1_0 @ X38 @ X39 )
        | ( epred2_0 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( epred3_1 @ X42 @ ( esk5_1 @ X42 ) )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred1_0 @ X38 @ X39 )
        | ( epred2_0 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ~ ( epred3_1 @ X42 @ X49 )
        | ( epred1_0 @ X48 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred1_0 @ X38 @ X39 )
        | ( epred2_0 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ~ ( epred1_0 @ X48 @ X49 )
        | ( epred3_1 @ X42 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred1_0 @ X38 @ X39 )
        | ( epred2_0 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( epred3_1 @ X42 @ esk2_0 )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred1_0 @ X38 @ X39 )
        | ( epred2_0 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( ( epred3_1 @ X42 )
         != X42 )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred1_0 @ X38 @ X39 )
        | ( epred2_0 @ X39 )
        | ~ ( epred2_0 @ X38 ) )
      & ( ( epred3_1 @ X42 @ ( esk5_1 @ X42 ) )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X40 ) )
      & ( ~ ( epred3_1 @ X42 @ X49 )
        | ( epred1_0 @ X48 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X40 ) )
      & ( ~ ( epred1_0 @ X48 @ X49 )
        | ( epred3_1 @ X42 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X40 ) )
      & ( ( epred3_1 @ X42 @ esk2_0 )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X40 ) )
      & ( ( ( epred3_1 @ X42 )
         != X42 )
        | ( X42 @ ( esk3_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X40 ) )
      & ( ( epred3_1 @ X42 @ ( esk5_1 @ X42 ) )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X40 ) )
      & ( ~ ( epred3_1 @ X42 @ X49 )
        | ( epred1_0 @ X48 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X40 ) )
      & ( ~ ( epred1_0 @ X48 @ X49 )
        | ( epred3_1 @ X42 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X40 ) )
      & ( ( epred3_1 @ X42 @ esk2_0 )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X40 ) )
      & ( ( ( epred3_1 @ X42 )
         != X42 )
        | ~ ( X42 @ ( esk4_1 @ X42 ) )
        | ~ ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X40 ) )
      & ( ( epred3_1 @ X42 @ ( esk5_1 @ X42 ) )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X40 ) )
      & ( ~ ( epred3_1 @ X42 @ X49 )
        | ( epred1_0 @ X48 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X40 ) )
      & ( ~ ( epred1_0 @ X48 @ X49 )
        | ( epred3_1 @ X42 @ X49 )
        | ~ ( epred3_1 @ X42 @ X48 )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X40 ) )
      & ( ( epred3_1 @ X42 @ esk2_0 )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X40 ) )
      & ( ( ( epred3_1 @ X42 )
         != X42 )
        | ( X42 @ ( esk4_1 @ X42 ) )
        | ( epred1_0 @ ( esk3_1 @ X42 ) @ ( esk4_1 @ X42 ) )
        | ~ ( X42 @ X43 )
        | ~ ( X42 @ esk2_0 )
        | ~ ( epred2_0 @ X40 ) ) ),
    inference(distribute,[status(thm)],[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_1])])])])])]) ).

thf(c_0_3,negated_conjecture,
    ! [X2: a,X5: a > $o] :
      ( ( epred3_1 @ X5 @ esk2_0 )
      | ( X5 @ ( esk3_1 @ X5 ) )
      | ( epred2_0 @ esk1_0 )
      | ~ ( X5 @ X2 )
      | ~ ( X5 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ! [X2: a] : ( epred1_0 @ X2 @ X2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

thf(c_0_6,negated_conjecture,
    ! [X2: a,X3: a,X4: a] :
      ( ( epred1_0 @ X2 @ X4 )
      | ~ ( epred1_0 @ X2 @ X3 )
      | ~ ( epred1_0 @ X3 @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_7,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_5,c_0_4]) ).

thf(c_0_8,negated_conjecture,
    ! [X2: a,X5: a > $o] :
      ( ( epred3_1 @ X5 @ esk2_0 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( X5 @ ( esk4_1 @ X5 ) )
      | ~ ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ~ ( X5 @ X2 )
      | ~ ( X5 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_9,negated_conjecture,
    ! [X2: a,X5: a > $o,X3: a] :
      ( ( epred3_1 @ X5 @ esk2_0 )
      | ~ ( X5 @ ( esk4_1 @ X5 ) )
      | ~ ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ~ ( X5 @ X2 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( epred2_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_10,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ X3 @ X2 )
      | ~ ( epred1_0 @ X2 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_11,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

thf(c_0_12,negated_conjecture,
    ! [X5: a > $o,X2: a] :
      ( ( epred3_1 @ X5 @ esk2_0 )
      | ~ ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ~ ( X5 @ ( esk4_1 @ X5 ) )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X2 ) ),
    inference(csr,[status(thm)],[c_0_8,c_0_9]) ).

thf(c_0_13,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ X2 )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

thf(c_0_14,negated_conjecture,
    ! [X2: a,X5: a > $o] :
      ( ( epred3_1 @ X5 @ esk2_0 )
      | ( X5 @ ( esk4_1 @ X5 ) )
      | ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ( epred2_0 @ esk1_0 )
      | ~ ( X5 @ X2 )
      | ~ ( X5 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_15,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_4])]),c_0_10]) ).

thf(c_0_16,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_4]),c_0_15]) ).

thf(c_0_17,negated_conjecture,
    ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ esk2_0 )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_7]) ).

thf(c_0_18,negated_conjecture,
    ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_11]),c_0_4])]) ).

thf(c_0_19,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
      | ( epred1_0 @ X2 @ esk2_0 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_17]) ).

thf(c_0_20,negated_conjecture,
    ( ( epred1_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_18]) ).

thf(c_0_21,negated_conjecture,
    ( ( epred1_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) @ esk2_0 )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

thf(c_0_22,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_21]) ).

thf(c_0_23,negated_conjecture,
    ! [X2: a,X3: a,X4: a,X5: a > $o] :
      ( ( epred1_0 @ X3 @ X2 )
      | ( X5 @ ( esk3_1 @ X5 ) )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred3_1 @ X5 @ X2 )
      | ~ ( epred3_1 @ X5 @ X3 )
      | ~ ( X5 @ X4 )
      | ~ ( X5 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_24,negated_conjecture,
    ! [X2: a,X3: a,X4: a,X5: a > $o,X6: a] :
      ( ( epred1_0 @ X3 @ X2 )
      | ( X5 @ ( esk3_1 @ X5 ) )
      | ~ ( epred3_1 @ X5 @ X2 )
      | ~ ( epred3_1 @ X5 @ X3 )
      | ~ ( X5 @ X4 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( epred2_0 @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_25,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_15,c_0_22]) ).

thf(c_0_26,negated_conjecture,
    ! [X2: a,X5: a > $o] :
      ( ( epred3_1 @ X5 @ ( esk5_1 @ X5 ) )
      | ( X5 @ ( esk3_1 @ X5 ) )
      | ( epred2_0 @ esk1_0 )
      | ~ ( X5 @ X2 )
      | ~ ( X5 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_27,negated_conjecture,
    ! [X2: a,X3: a,X4: a,X5: a > $o] :
      ( ( epred3_1 @ X5 @ X3 )
      | ( X5 @ ( esk3_1 @ X5 ) )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ X2 @ X3 )
      | ~ ( epred3_1 @ X5 @ X2 )
      | ~ ( X5 @ X4 )
      | ~ ( X5 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_28,negated_conjecture,
    ! [X2: a,X3: a,X4: a,X5: a > $o,X6: a] :
      ( ( epred3_1 @ X5 @ X3 )
      | ( X5 @ ( esk3_1 @ X5 ) )
      | ~ ( epred1_0 @ X2 @ X3 )
      | ~ ( epred3_1 @ X5 @ X2 )
      | ~ ( X5 @ X4 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( epred2_0 @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_29,negated_conjecture,
    ! [X2: a,X3: a,X5: a > $o,X4: a] :
      ( ( epred1_0 @ X2 @ X3 )
      | ( X5 @ ( esk3_1 @ X5 ) )
      | ~ ( epred3_1 @ X5 @ X2 )
      | ~ ( epred3_1 @ X5 @ X3 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X4 ) ),
    inference(csr,[status(thm)],[c_0_23,c_0_24]) ).

thf(c_0_30,negated_conjecture,
    ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_11]),c_0_4])]) ).

thf(c_0_31,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk5_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_26,c_0_4]) ).

thf(c_0_32,negated_conjecture,
    ! [X2: a,X5: a > $o] :
      ( ( X5 @ ( esk3_1 @ X5 ) )
      | ( epred2_0 @ esk1_0 )
      | ( ( epred3_1 @ X5 )
       != X5 )
      | ~ ( X5 @ X2 )
      | ~ ( X5 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_33,negated_conjecture,
    ! [X2: a,X3: a,X5: a > $o,X4: a] :
      ( ( X5 @ ( esk3_1 @ X5 ) )
      | ( epred3_1 @ X5 @ X2 )
      | ~ ( epred3_1 @ X5 @ X3 )
      | ~ ( epred1_0 @ X3 @ X2 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X4 ) ),
    inference(csr,[status(thm)],[c_0_27,c_0_28]) ).

thf(c_0_34,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_4])]) ).

thf(c_0_35,negated_conjecture,
    ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk5_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred2_0 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_31,c_0_4]) ).

thf(c_0_36,negated_conjecture,
    ! [X5: a > $o,X2: a] :
      ( ( X5 @ ( esk3_1 @ X5 ) )
      | ( epred2_0 @ esk1_0 )
      | ( ( epred3_1 @ X5 @ ( esk6_1 @ X5 ) )
      <~> ( X5 @ ( esk6_1 @ X5 ) ) )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X2 ) ),
    inference(neg_ext,[status(thm)],[c_0_32]) ).

thf(c_0_37,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_30]),c_0_4])]) ).

thf(c_0_38,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk5_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

thf(c_0_39,negated_conjecture,
    ! [X2: a,X5: a > $o] :
      ( ( X5 @ ( esk4_1 @ X5 ) )
      | ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ( epred2_0 @ esk1_0 )
      | ( ( epred3_1 @ X5 )
       != X5 )
      | ~ ( X5 @ X2 )
      | ~ ( X5 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_40,negated_conjecture,
    ! [X2: a,X5: a > $o,X3: a] :
      ( ( X5 @ ( esk4_1 @ X5 ) )
      | ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ( ( epred3_1 @ X5 )
       != X5 )
      | ~ ( X5 @ X2 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( epred2_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_41,negated_conjecture,
    ! [X5: a > $o,X2: a] :
      ( ( epred3_1 @ X5 @ ( esk6_1 @ X5 ) )
      | ( epred2_0 @ esk1_0 )
      | ( X5 @ ( esk3_1 @ X5 ) )
      | ( X5 @ ( esk6_1 @ X5 ) )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X2 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_36]) ).

thf(c_0_42,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_37,c_0_4]) ).

thf(c_0_43,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk5_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred2_0 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_38,c_0_4]) ).

thf(c_0_44,negated_conjecture,
    ! [X5: a > $o,X2: a] :
      ( ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ( X5 @ ( esk4_1 @ X5 ) )
      | ( ( epred3_1 @ X5 )
       != X5 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X2 ) ),
    inference(csr,[status(thm)],[c_0_39,c_0_40]) ).

thf(c_0_45,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk6_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_4]),c_0_42]) ).

thf(c_0_46,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ X2 @ ( esk5_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_43]) ).

thf(c_0_47,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
       != ( epred1_0 @ esk2_0 ) )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_44,c_0_4]) ).

thf(c_0_48,negated_conjecture,
    ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk6_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred2_0 @ esk1_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_4])]) ).

thf(c_0_49,negated_conjecture,
    ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
     != ( epred1_0 @ esk2_0 ) ) ),
    inference(spm,[status(thm)],[c_0_47,c_0_4]) ).

thf(c_0_50,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ ( esk5_1 @ ( epred1_0 @ esk2_0 ) ) @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_35]),c_0_4])]) ).

thf(c_0_51,negated_conjecture,
    ! [X2: a,X5: a > $o] :
      ( ( epred2_0 @ esk1_0 )
      | ( ( epred3_1 @ X5 )
       != X5 )
      | ~ ( X5 @ ( esk4_1 @ X5 ) )
      | ~ ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ~ ( X5 @ X2 )
      | ~ ( X5 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_52,negated_conjecture,
    ! [X2: a,X5: a > $o,X3: a] :
      ( ( ( epred3_1 @ X5 )
       != X5 )
      | ~ ( X5 @ ( esk4_1 @ X5 ) )
      | ~ ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ~ ( X5 @ X2 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( epred2_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_53,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk6_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_48]) ).

thf(c_0_54,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ X2 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
       != ( epred1_0 @ esk2_0 ) )
      | ~ ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_49]) ).

thf(c_0_55,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ ( esk5_1 @ ( epred1_0 @ esk2_0 ) ) @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_46]),c_0_4])]) ).

thf(c_0_56,negated_conjecture,
    ! [X5: a > $o,X2: a] :
      ( ( ( epred3_1 @ X5 )
       != X5 )
      | ~ ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ~ ( X5 @ ( esk4_1 @ X5 ) )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X2 ) ),
    inference(csr,[status(thm)],[c_0_51,c_0_52]) ).

thf(c_0_57,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk6_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_53]) ).

thf(c_0_58,negated_conjecture,
    ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk6_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred2_0 @ esk1_0 )
    | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
     != ( epred1_0 @ esk2_0 ) ) ),
    inference(spm,[status(thm)],[c_0_54,c_0_48]) ).

thf(c_0_59,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred2_0 @ esk1_0 )
      | ( epred1_0 @ X2 @ X3 )
      | ~ ( epred1_0 @ X2 @ ( esk5_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X3 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_55]) ).

thf(c_0_60,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk6_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred2_0 @ esk1_0 )
      | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
       != ( epred1_0 @ esk2_0 ) )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_4])]),c_0_10]),c_0_58]) ).

thf(c_0_61,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 ) ),
    inference(spm,[status(thm)],[c_0_59,c_0_43]) ).

thf(c_0_62,negated_conjecture,
    ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk6_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred2_0 @ esk1_0 )
    | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
     != ( epred1_0 @ esk2_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_53]),c_0_4])]) ).

thf(c_0_63,negated_conjecture,
    ! [X5: a > $o,X2: a] :
      ( ( epred2_0 @ esk1_0 )
      | ( X5 @ ( esk3_1 @ X5 ) )
      | ~ ( epred3_1 @ X5 @ ( esk6_1 @ X5 ) )
      | ~ ( X5 @ ( esk6_1 @ X5 ) )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X2 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_36]) ).

thf(c_0_64,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk6_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred2_0 @ esk1_0 )
    | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
     != ( epred1_0 @ esk2_0 ) ) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

thf(c_0_65,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred2_0 @ esk1_0 )
      | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
       != ( epred1_0 @ esk2_0 ) )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_62]),c_0_4])]),c_0_64]) ).

thf(c_0_66,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred2_0 @ esk1_0 )
    | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
     != ( epred1_0 @ esk2_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_46]),c_0_4])]) ).

thf(c_0_67,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred2_0 @ esk1_0 )
    | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk39_0 )
    <~> ( epred1_0 @ esk2_0 @ esk39_0 ) ) ),
    inference(neg_ext,[status(thm)],[c_0_66]) ).

thf(c_0_68,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk39_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_67]),c_0_42]) ).

thf(c_0_69,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred2_0 @ esk1_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_67]),c_0_61]),c_0_68]) ).

thf(c_0_70,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_69]) ).

thf(c_0_71,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_70]) ).

thf(c_0_72,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred2_0 @ esk1_0 )
    | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
     != ( epred1_0 @ esk2_0 ) ) ),
    inference(spm,[status(thm)],[c_0_54,c_0_66]) ).

thf(c_0_73,negated_conjecture,
    ! [X2: a] :
      ( ( epred2_0 @ esk1_0 )
      | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
       != ( epred1_0 @ esk2_0 ) )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_71]),c_0_4])]),c_0_10]),c_0_72]) ).

thf(c_0_74,negated_conjecture,
    ! [X2: a,X3: a,X4: a,X5: a > $o] :
      ( ( epred1_0 @ X3 @ X2 )
      | ( X5 @ ( esk4_1 @ X5 ) )
      | ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred3_1 @ X5 @ X2 )
      | ~ ( epred3_1 @ X5 @ X3 )
      | ~ ( X5 @ X4 )
      | ~ ( X5 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_75,negated_conjecture,
    ! [X2: a,X3: a,X4: a,X5: a > $o,X6: a] :
      ( ( epred1_0 @ X3 @ X2 )
      | ( X5 @ ( esk4_1 @ X5 ) )
      | ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ~ ( epred3_1 @ X5 @ X2 )
      | ~ ( epred3_1 @ X5 @ X3 )
      | ~ ( X5 @ X4 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( epred2_0 @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_76,negated_conjecture,
    ! [X2: a] :
      ( ( epred2_0 @ esk1_0 )
      | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk46_0 )
      <~> ( epred1_0 @ esk2_0 @ esk46_0 ) )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(neg_ext,[status(thm)],[c_0_73]) ).

thf(c_0_77,negated_conjecture,
    ! [X2: a,X3: a,X5: a > $o,X4: a] :
      ( ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ( X5 @ ( esk4_1 @ X5 ) )
      | ( epred1_0 @ X2 @ X3 )
      | ~ ( epred3_1 @ X5 @ X2 )
      | ~ ( epred3_1 @ X5 @ X3 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X4 ) ),
    inference(csr,[status(thm)],[c_0_74,c_0_75]) ).

thf(c_0_78,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk46_0 )
      | ( epred1_0 @ esk2_0 @ esk46_0 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_76]) ).

thf(c_0_79,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_30]),c_0_4])]) ).

thf(c_0_80,negated_conjecture,
    ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk46_0 )
    | ( epred1_0 @ esk2_0 @ esk46_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_70]),c_0_4])]) ).

thf(c_0_81,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ esk46_0 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

thf(c_0_82,negated_conjecture,
    ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ esk2_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_69]) ).

thf(c_0_83,negated_conjecture,
    ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ esk46_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_70]),c_0_4])]) ).

thf(c_0_84,negated_conjecture,
    ! [X2: a,X3: a,X4: a,X5: a > $o] :
      ( ( epred1_0 @ X3 @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred3_1 @ X5 @ X2 )
      | ~ ( epred3_1 @ X5 @ X3 )
      | ~ ( X5 @ ( esk4_1 @ X5 ) )
      | ~ ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ~ ( X5 @ X4 )
      | ~ ( X5 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_85,negated_conjecture,
    ! [X2: a,X3: a,X4: a,X5: a > $o,X6: a] :
      ( ( epred1_0 @ X3 @ X2 )
      | ~ ( epred3_1 @ X5 @ X2 )
      | ~ ( epred3_1 @ X5 @ X3 )
      | ~ ( X5 @ ( esk4_1 @ X5 ) )
      | ~ ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ~ ( X5 @ X4 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( epred2_0 @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_86,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred2_0 @ esk1_0 )
      | ( epred1_0 @ X2 @ X3 )
      | ~ ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred1_0 @ X3 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_71]) ).

thf(c_0_87,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ esk2_0 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_82]) ).

thf(c_0_88,negated_conjecture,
    ( ( epred1_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ esk46_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_83]) ).

thf(c_0_89,negated_conjecture,
    ! [X2: a,X3: a,X5: a > $o,X4: a] :
      ( ( epred1_0 @ X2 @ X3 )
      | ~ ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ~ ( epred3_1 @ X5 @ X2 )
      | ~ ( epred3_1 @ X5 @ X3 )
      | ~ ( X5 @ ( esk4_1 @ X5 ) )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X4 ) ),
    inference(csr,[status(thm)],[c_0_84,c_0_85]) ).

thf(c_0_90,negated_conjecture,
    ! [X3: a,X2: a] :
      ( ( epred1_0 @ X2 @ X3 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ X3 @ esk2_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_86,c_0_70]) ).

thf(c_0_91,negated_conjecture,
    ( ( epred1_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) @ esk2_0 )
    | ( epred1_0 @ esk2_0 @ esk46_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_10]) ).

thf(c_0_92,negated_conjecture,
    ! [X2: a,X3: a,X4: a] :
      ( ( epred2_0 @ esk1_0 )
      | ( epred1_0 @ X2 @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X4 ) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_71]),c_0_4])]),c_0_10]) ).

thf(c_0_93,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ esk46_0 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

thf(c_0_94,negated_conjecture,
    ! [X2: a,X3: a,X4: a,X5: a > $o] :
      ( ( epred3_1 @ X5 @ X3 )
      | ( X5 @ ( esk4_1 @ X5 ) )
      | ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ X2 @ X3 )
      | ~ ( epred3_1 @ X5 @ X2 )
      | ~ ( X5 @ X4 )
      | ~ ( X5 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_95,negated_conjecture,
    ! [X2: a,X3: a,X4: a,X5: a > $o,X6: a] :
      ( ( epred3_1 @ X5 @ X3 )
      | ( X5 @ ( esk4_1 @ X5 ) )
      | ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ~ ( epred1_0 @ X2 @ X3 )
      | ~ ( epred3_1 @ X5 @ X2 )
      | ~ ( X5 @ X4 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( epred2_0 @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_96,negated_conjecture,
    ! [X2: a,X3: a,X4: a] :
      ( ( epred1_0 @ esk2_0 @ esk46_0 )
      | ( epred1_0 @ X2 @ X3 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X4 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_4])]) ).

thf(c_0_97,negated_conjecture,
    ! [X2: a,X3: a,X5: a > $o,X4: a] :
      ( ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ( epred3_1 @ X5 @ X2 )
      | ( X5 @ ( esk4_1 @ X5 ) )
      | ~ ( epred3_1 @ X5 @ X3 )
      | ~ ( epred1_0 @ X3 @ X2 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X4 ) ),
    inference(csr,[status(thm)],[c_0_94,c_0_95]) ).

thf(c_0_98,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ esk2_0 @ esk46_0 )
      | ( epred1_0 @ esk46_0 @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_96,c_0_80]) ).

thf(c_0_99,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_30]),c_0_4])]) ).

thf(c_0_100,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ esk46_0 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_30]),c_0_10]) ).

thf(c_0_101,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_70]),c_0_4])]) ).

thf(c_0_102,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ esk46_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_93]),c_0_4])]) ).

thf(c_0_103,negated_conjecture,
    ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk46_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

thf(c_0_104,negated_conjecture,
    ! [X2: a,X3: a,X4: a,X5: a > $o] :
      ( ( epred3_1 @ X5 @ X3 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ X2 @ X3 )
      | ~ ( epred3_1 @ X5 @ X2 )
      | ~ ( X5 @ ( esk4_1 @ X5 ) )
      | ~ ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ~ ( X5 @ X4 )
      | ~ ( X5 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_105,negated_conjecture,
    ! [X2: a,X3: a,X4: a,X5: a > $o,X6: a] :
      ( ( epred3_1 @ X5 @ X3 )
      | ~ ( epred1_0 @ X2 @ X3 )
      | ~ ( epred3_1 @ X5 @ X2 )
      | ~ ( X5 @ ( esk4_1 @ X5 ) )
      | ~ ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ~ ( X5 @ X4 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( epred2_0 @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_106,negated_conjecture,
    ( ( epred1_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk46_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_103]) ).

thf(c_0_107,negated_conjecture,
    ! [X2: a,X3: a,X5: a > $o,X4: a] :
      ( ( epred3_1 @ X5 @ X2 )
      | ~ ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ~ ( epred3_1 @ X5 @ X3 )
      | ~ ( X5 @ ( esk4_1 @ X5 ) )
      | ~ ( epred1_0 @ X3 @ X2 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X4 ) ),
    inference(csr,[status(thm)],[c_0_104,c_0_105]) ).

thf(c_0_108,negated_conjecture,
    ( ( epred1_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) @ esk2_0 )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk46_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_106]),c_0_10]) ).

thf(c_0_109,negated_conjecture,
    ! [X4: a,X3: a,X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X4 )
      | ~ ( epred1_0 @ X3 @ X2 ) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_71]),c_0_4])]),c_0_10]) ).

thf(c_0_110,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk46_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_108]) ).

thf(c_0_111,negated_conjecture,
    ! [X4: a,X3: a,X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk46_0 )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X4 )
      | ~ ( epred1_0 @ X3 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

thf(c_0_112,negated_conjecture,
    ! [X3: a,X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk46_0 )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_111,c_0_30]) ).

thf(c_0_113,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk46_0 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_90,c_0_108]) ).

thf(c_0_114,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk46_0 )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_4])]) ).

thf(c_0_115,negated_conjecture,
    ! [X2: a] :
      ( ( epred2_0 @ esk1_0 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk46_0 )
      | ~ ( epred1_0 @ esk2_0 @ esk46_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_76]) ).

thf(c_0_116,negated_conjecture,
    ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk46_0 )
    | ( epred2_0 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_114,c_0_102]) ).

thf(c_0_117,negated_conjecture,
    ! [X2: a] :
      ( ( epred2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_102]) ).

thf(c_0_118,negated_conjecture,
    ! [X2: a,X5: a > $o,X3: a] :
      ( ( epred3_1 @ X5 @ esk2_0 )
      | ( X5 @ ( esk3_1 @ X5 ) )
      | ~ ( X5 @ X2 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( epred2_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_119,negated_conjecture,
    epred2_0 @ esk1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_70]),c_0_4])]) ).

thf(c_0_120,negated_conjecture,
    ! [X5: a > $o,X2: a] :
      ( ( epred3_1 @ X5 @ esk2_0 )
      | ( X5 @ ( esk3_1 @ X5 ) )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

thf(c_0_121,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_120,c_0_4]) ).

thf(c_0_122,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_121,c_0_4]) ).

thf(c_0_123,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_122]) ).

thf(c_0_124,negated_conjecture,
    ! [X2: a,X5: a > $o,X3: a] :
      ( ( epred3_1 @ X5 @ esk2_0 )
      | ( X5 @ ( esk4_1 @ X5 ) )
      | ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ~ ( X5 @ X2 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( epred2_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_125,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ X2 )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_123]) ).

thf(c_0_126,negated_conjecture,
    ! [X5: a > $o,X2: a] :
      ( ( epred1_0 @ ( esk3_1 @ X5 ) @ ( esk4_1 @ X5 ) )
      | ( epred3_1 @ X5 @ esk2_0 )
      | ( X5 @ ( esk4_1 @ X5 ) )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_124,c_0_119]) ).

thf(c_0_127,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
      | ~ ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_125]),c_0_4])]),c_0_10]) ).

thf(c_0_128,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_4]),c_0_127]) ).

thf(c_0_129,negated_conjecture,
    ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ esk2_0 )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_122]) ).

thf(c_0_130,negated_conjecture,
    ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_123]),c_0_4])]) ).

thf(c_0_131,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
      | ( epred1_0 @ X2 @ esk2_0 )
      | ~ ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_129]) ).

thf(c_0_132,negated_conjecture,
    ( ( epred1_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_130]) ).

thf(c_0_133,negated_conjecture,
    ( ( epred1_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) @ esk2_0 )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

thf(c_0_134,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_133]) ).

thf(c_0_135,negated_conjecture,
    ! [X2: a,X5: a > $o,X3: a] :
      ( ( epred3_1 @ X5 @ ( esk5_1 @ X5 ) )
      | ( X5 @ ( esk3_1 @ X5 ) )
      | ~ ( X5 @ X2 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( epred2_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_136,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_127,c_0_134]) ).

thf(c_0_137,negated_conjecture,
    ! [X5: a > $o,X2: a] :
      ( ( epred3_1 @ X5 @ ( esk5_1 @ X5 ) )
      | ( X5 @ ( esk3_1 @ X5 ) )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_135,c_0_119]) ).

thf(c_0_138,negated_conjecture,
    ! [X2: a,X5: a > $o,X3: a] :
      ( ( X5 @ ( esk3_1 @ X5 ) )
      | ( ( epred3_1 @ X5 )
       != X5 )
      | ~ ( X5 @ X2 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( epred2_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_139,negated_conjecture,
    epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_123]),c_0_4])]) ).

thf(c_0_140,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk5_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_137,c_0_4]) ).

thf(c_0_141,negated_conjecture,
    ! [X2: a,X5: a > $o,X3: a] :
      ( ( X5 @ ( esk3_1 @ X5 ) )
      | ( ( epred3_1 @ X5 @ ( esk7_1 @ X5 ) )
      <~> ( X5 @ ( esk7_1 @ X5 ) ) )
      | ~ ( epred2_0 @ X2 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X3 ) ),
    inference(neg_ext,[status(thm)],[c_0_138]) ).

thf(c_0_142,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ X2 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_139]),c_0_4])]) ).

thf(c_0_143,negated_conjecture,
    ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk5_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(spm,[status(thm)],[c_0_140,c_0_4]) ).

thf(c_0_144,negated_conjecture,
    ! [X2: a,X5: a > $o,X3: a] :
      ( ( epred3_1 @ X5 @ ( esk7_1 @ X5 ) )
      | ( X5 @ ( esk3_1 @ X5 ) )
      | ( X5 @ ( esk7_1 @ X5 ) )
      | ~ ( epred2_0 @ X2 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X3 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_141]) ).

thf(c_0_145,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_139]),c_0_4])]) ).

thf(c_0_146,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk5_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

thf(c_0_147,negated_conjecture,
    ! [X5: a > $o,X2: a] :
      ( ( epred3_1 @ X5 @ ( esk7_1 @ X5 ) )
      | ( X5 @ ( esk7_1 @ X5 ) )
      | ( X5 @ ( esk3_1 @ X5 ) )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_144,c_0_119]) ).

thf(c_0_148,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_145,c_0_4]) ).

thf(c_0_149,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk5_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(spm,[status(thm)],[c_0_146,c_0_4]) ).

thf(c_0_150,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk7_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_4]),c_0_148]) ).

thf(c_0_151,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ X2 @ ( esk5_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_149]) ).

thf(c_0_152,negated_conjecture,
    ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk7_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_4])]) ).

thf(c_0_153,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ ( esk5_1 @ ( epred1_0 @ esk2_0 ) ) @ X2 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_143]),c_0_4])]) ).

thf(c_0_154,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk7_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_152]) ).

thf(c_0_155,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ ( esk5_1 @ ( epred1_0 @ esk2_0 ) ) @ X2 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_151]),c_0_4])]) ).

thf(c_0_156,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk7_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ X2 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_154]) ).

thf(c_0_157,negated_conjecture,
    ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk7_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
     != ( epred1_0 @ esk2_0 ) ) ),
    inference(spm,[status(thm)],[c_0_54,c_0_152]) ).

thf(c_0_158,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ X2 @ X3 )
      | ~ ( epred1_0 @ X2 @ ( esk5_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X3 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_155]) ).

thf(c_0_159,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk7_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
       != ( epred1_0 @ esk2_0 ) )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_156]),c_0_4])]),c_0_10]),c_0_157]) ).

thf(c_0_160,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ X2 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 ) ),
    inference(spm,[status(thm)],[c_0_158,c_0_149]) ).

thf(c_0_161,negated_conjecture,
    ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ ( esk7_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
     != ( epred1_0 @ esk2_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_154]),c_0_4])]) ).

thf(c_0_162,negated_conjecture,
    ! [X2: a,X5: a > $o,X3: a] :
      ( ( X5 @ ( esk3_1 @ X5 ) )
      | ~ ( epred3_1 @ X5 @ ( esk7_1 @ X5 ) )
      | ~ ( X5 @ ( esk7_1 @ X5 ) )
      | ~ ( epred2_0 @ X2 )
      | ~ ( X5 @ esk2_0 )
      | ~ ( X5 @ X3 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_141]) ).

thf(c_0_163,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk7_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
     != ( epred1_0 @ esk2_0 ) ) ),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

thf(c_0_164,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
       != ( epred1_0 @ esk2_0 ) )
      | ~ ( epred1_0 @ esk2_0 @ X2 )
      | ~ ( epred2_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_161]),c_0_4])]),c_0_163]) ).

thf(c_0_165,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
       != ( epred1_0 @ esk2_0 ) )
      | ~ ( epred2_0 @ X2 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_151]),c_0_4])]) ).

thf(c_0_166,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
     != ( epred1_0 @ esk2_0 ) ) ),
    inference(spm,[status(thm)],[c_0_165,c_0_119]) ).

thf(c_0_167,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk102_0 )
    <~> ( epred1_0 @ esk2_0 @ esk102_0 ) ) ),
    inference(neg_ext,[status(thm)],[c_0_166]) ).

thf(c_0_168,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk102_0 ) ),
    inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_167]),c_0_148]) ).

thf(c_0_169,negated_conjecture,
    epred1_0 @ esk2_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_167]),c_0_160]),c_0_168]) ).

thf(c_0_170,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_169]) ).

thf(c_0_171,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
     != ( epred1_0 @ esk2_0 ) ) ),
    inference(spm,[status(thm)],[c_0_54,c_0_166]) ).

thf(c_0_172,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred1_0 @ X3 @ esk2_0 )
      | ~ ( epred1_0 @ X2 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_170]) ).

thf(c_0_173,negated_conjecture,
    ( ( epred1_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) @ esk2_0 )
    | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
     != ( epred1_0 @ esk2_0 ) ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_171]) ).

thf(c_0_174,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ X2 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_170]) ).

thf(c_0_175,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
       != ( epred1_0 @ esk2_0 ) )
      | ~ ( epred1_0 @ X2 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

thf(c_0_176,negated_conjecture,
    ! [X2: a] :
      ( ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
       != ( epred1_0 @ esk2_0 ) )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_174]),c_0_4])]),c_0_10]),c_0_171]) ).

thf(c_0_177,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ X2 )
      | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
       != ( epred1_0 @ esk2_0 ) )
      | ~ ( epred1_0 @ X2 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_175]) ).

thf(c_0_178,negated_conjecture,
    ! [X2: a] :
      ( ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk108_0 )
      <~> ( epred1_0 @ esk2_0 @ esk108_0 ) )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(neg_ext,[status(thm)],[c_0_176]) ).

thf(c_0_179,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ X2 @ X3 )
      | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
       != ( epred1_0 @ esk2_0 ) )
      | ~ ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred1_0 @ X3 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_177]) ).

thf(c_0_180,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk108_0 )
      | ( epred1_0 @ esk2_0 @ esk108_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_178]) ).

thf(c_0_181,negated_conjecture,
    ! [X2: a] :
      ( ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
       != ( epred1_0 @ esk2_0 ) )
      | ~ ( epred1_0 @ X2 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_169]),c_0_176]) ).

thf(c_0_182,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ X2 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_139]),c_0_4])]) ).

thf(c_0_183,negated_conjecture,
    ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk108_0 )
    | ( epred1_0 @ esk2_0 @ esk108_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_170]),c_0_4])]) ).

thf(c_0_184,negated_conjecture,
    ! [X2: a] :
      ( ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk119_0 )
      <~> ( epred1_0 @ esk2_0 @ esk119_0 ) )
      | ~ ( epred1_0 @ X2 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(neg_ext,[status(thm)],[c_0_181]) ).

thf(c_0_185,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ esk108_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

thf(c_0_186,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk119_0 )
      | ( epred1_0 @ esk2_0 @ esk119_0 )
      | ~ ( epred1_0 @ X2 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_184]) ).

thf(c_0_187,negated_conjecture,
    epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ esk2_0,
    inference(spm,[status(thm)],[c_0_10,c_0_169]) ).

thf(c_0_188,negated_conjecture,
    ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ esk108_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_170]),c_0_4])]) ).

thf(c_0_189,negated_conjecture,
    ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk119_0 )
    | ( epred1_0 @ esk2_0 @ esk119_0 ) ),
    inference(spm,[status(thm)],[c_0_186,c_0_4]) ).

thf(c_0_190,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ X2 @ X3 )
      | ~ ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred1_0 @ X3 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_174]) ).

thf(c_0_191,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ esk2_0 )
      | ~ ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_187]) ).

thf(c_0_192,negated_conjecture,
    ( ( epred1_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ esk108_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_188]) ).

thf(c_0_193,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ esk119_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_182,c_0_189]) ).

thf(c_0_194,negated_conjecture,
    ! [X3: a,X2: a] :
      ( ( epred1_0 @ X2 @ X3 )
      | ~ ( epred1_0 @ X3 @ esk2_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_190,c_0_170]) ).

thf(c_0_195,negated_conjecture,
    ( ( epred1_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) @ esk2_0 )
    | ( epred1_0 @ esk2_0 @ esk108_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_10]) ).

thf(c_0_196,negated_conjecture,
    ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ esk119_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_170]),c_0_4])]) ).

thf(c_0_197,negated_conjecture,
    ! [X2: a,X3: a,X4: a] :
      ( ( epred1_0 @ X2 @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X4 ) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_174]),c_0_4])]),c_0_10]) ).

thf(c_0_198,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ esk108_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

thf(c_0_199,negated_conjecture,
    ( ( epred1_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ esk119_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_196]) ).

thf(c_0_200,negated_conjecture,
    ! [X2: a,X3: a,X4: a] :
      ( ( epred1_0 @ esk2_0 @ esk108_0 )
      | ( epred1_0 @ X2 @ X3 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X4 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_4])]) ).

thf(c_0_201,negated_conjecture,
    ( ( epred1_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) @ esk2_0 )
    | ( epred1_0 @ esk2_0 @ esk119_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_199]),c_0_10]) ).

thf(c_0_202,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ esk2_0 @ esk108_0 )
      | ( epred1_0 @ esk108_0 @ X2 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_200,c_0_183]) ).

thf(c_0_203,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ esk119_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_194,c_0_201]) ).

thf(c_0_204,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ esk108_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_139]),c_0_10]) ).

thf(c_0_205,negated_conjecture,
    ! [X2: a,X3: a,X4: a] :
      ( ( epred1_0 @ esk2_0 @ esk119_0 )
      | ( epred1_0 @ X2 @ X3 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X4 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_203]),c_0_4])]) ).

thf(c_0_206,negated_conjecture,
    epred1_0 @ esk2_0 @ esk108_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_198]),c_0_4])]) ).

thf(c_0_207,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ esk2_0 @ esk119_0 )
      | ( epred1_0 @ esk119_0 @ X2 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_205,c_0_189]) ).

thf(c_0_208,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ X2 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ esk119_0 )
      | ~ ( epred1_0 @ X3 @ esk2_0 )
      | ~ ( epred1_0 @ X2 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_203]) ).

thf(c_0_209,negated_conjecture,
    epred1_0 @ esk108_0 @ esk2_0,
    inference(spm,[status(thm)],[c_0_10,c_0_206]) ).

thf(c_0_210,negated_conjecture,
    ! [X2: a] :
      ( ~ ( epred1_0 @ X2 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk119_0 )
      | ~ ( epred1_0 @ esk2_0 @ esk119_0 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_184]) ).

thf(c_0_211,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ esk119_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_139]),c_0_10]) ).

thf(c_0_212,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ esk119_0 )
      | ~ ( epred1_0 @ X2 @ esk108_0 ) ),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

thf(c_0_213,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_139]),c_0_4])]) ).

thf(c_0_214,negated_conjecture,
    ( ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk119_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk119_0 ) ),
    inference(spm,[status(thm)],[c_0_210,c_0_4]) ).

thf(c_0_215,negated_conjecture,
    epred1_0 @ esk2_0 @ esk119_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_206])]) ).

thf(c_0_216,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_170]),c_0_4])]) ).

thf(c_0_217,negated_conjecture,
    ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk119_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_215])]) ).

thf(c_0_218,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
       != ( epred1_0 @ esk2_0 ) )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_171]) ).

thf(c_0_219,negated_conjecture,
    ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_215]),c_0_217]) ).

thf(c_0_220,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ X2 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
       != ( epred1_0 @ esk2_0 ) )
      | ~ ( epred1_0 @ X3 @ esk2_0 )
      | ~ ( epred1_0 @ X2 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_218]) ).

thf(c_0_221,negated_conjecture,
    ( ( epred1_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_219]) ).

thf(c_0_222,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
       != ( epred1_0 @ esk2_0 ) )
      | ~ ( epred1_0 @ X2 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_174]),c_0_4])]) ).

thf(c_0_223,negated_conjecture,
    epred1_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) @ esk2_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_221]),c_0_10]) ).

thf(c_0_224,negated_conjecture,
    ( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk2_0 ) ) @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
    | ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
     != ( epred1_0 @ esk2_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_174]),c_0_187])]) ).

thf(c_0_225,negated_conjecture,
    epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_223]) ).

thf(c_0_226,negated_conjecture,
    ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) )
   != ( epred1_0 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_181,c_0_224]) ).

thf(c_0_227,negated_conjecture,
    ! [X2: a,X3: a,X4: a] :
      ( ( epred1_0 @ X2 @ X3 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X4 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_225])]) ).

thf(c_0_228,negated_conjecture,
    ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk120_0 )
  <~> ( epred1_0 @ esk2_0 @ esk120_0 ) ),
    inference(neg_ext,[status(thm)],[c_0_226]) ).

thf(c_0_229,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ esk108_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_206]) ).

thf(c_0_230,negated_conjecture,
    epred1_0 @ esk119_0 @ esk2_0,
    inference(spm,[status(thm)],[c_0_10,c_0_215]) ).

thf(c_0_231,negated_conjecture,
    ! [X2: a,X3: a] :
      ( ( epred1_0 @ esk2_0 @ X2 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_227,c_0_139]) ).

thf(c_0_232,negated_conjecture,
    ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk120_0 )
    | ( epred1_0 @ esk2_0 @ esk120_0 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_228]) ).

thf(c_0_233,negated_conjecture,
    epred1_0 @ esk119_0 @ esk108_0,
    inference(spm,[status(thm)],[c_0_229,c_0_230]) ).

thf(c_0_234,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ esk2_0 @ esk120_0 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

thf(c_0_235,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ esk108_0 )
      | ~ ( epred1_0 @ X2 @ esk119_0 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_233]) ).

thf(c_0_236,negated_conjecture,
    epred1_0 @ esk2_0 @ esk120_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_215])]) ).

thf(c_0_237,negated_conjecture,
    ! [X4: a,X3: a,X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ ( esk4_1 @ ( epred1_0 @ esk2_0 ) ) )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X4 )
      | ~ ( epred1_0 @ X3 @ X2 ) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_174]),c_0_4])]),c_0_10]) ).

thf(c_0_238,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ esk119_0 )
      | ~ ( epred1_0 @ X2 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_215]) ).

thf(c_0_239,negated_conjecture,
    epred1_0 @ esk120_0 @ esk2_0,
    inference(spm,[status(thm)],[c_0_10,c_0_236]) ).

thf(c_0_240,negated_conjecture,
    ! [X4: a,X3: a,X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X4 )
      | ~ ( epred1_0 @ X3 @ X2 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_225])]) ).

thf(c_0_241,negated_conjecture,
    epred1_0 @ esk120_0 @ esk119_0,
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

thf(c_0_242,negated_conjecture,
    ( ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk120_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk120_0 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_228]) ).

thf(c_0_243,negated_conjecture,
    ! [X3: a,X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_240,c_0_139]) ).

thf(c_0_244,negated_conjecture,
    ! [X2: a] :
      ( ( epred1_0 @ X2 @ esk119_0 )
      | ~ ( epred1_0 @ X2 @ esk120_0 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_241]) ).

thf(c_0_245,negated_conjecture,
    ~ ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ esk120_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_236])]) ).

thf(c_0_246,negated_conjecture,
    ! [X2: a] :
      ( ( epred3_1 @ ( epred1_0 @ esk2_0 ) @ X2 )
      | ~ ( epred1_0 @ esk2_0 @ X2 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_236])]) ).

thf(c_0_247,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_236])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV010^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17  % Computer : n007.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 14:57:55 UTC 2026
% 0.08/0.17  % CPUTime  : 
% 0.08/0.17  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running higher-order theorem proving
% 0.08/0.22  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.oscCLYwyk2/E---3.1_3468297.p
% 34.38/5.43  % Version: 3.5.1-ho
% 34.38/5.43  % Preprocessing class: HSMSSMSSSSSNSSA.
% 34.38/5.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 34.38/5.43  % Starting post_as_ho1 with 1500s (5) cores
% 34.38/5.43  % Starting post_as_ho12 with 300s (1) cores
% 34.38/5.43  % Starting new_ho_3 with 300s (1) cores
% 34.38/5.43  % Starting ehoh_best2_full_lfho with 300s (1) cores
% 34.38/5.43  % post_as_ho1 with pid 3468310 completed with status 0
% 34.38/5.43  % Result found by post_as_ho1
% 34.38/5.43  % Preprocessing class: HSMSSMSSSSSNSSA.
% 34.38/5.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 34.38/5.43  % Starting post_as_ho1 with 1500s (5) cores
% 34.38/5.43  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 34.38/5.43  % No SInE strategy applied
% 34.38/5.43  % Search class: HGHSF-FSMF11-SSSFFMBN
% 34.38/5.43  % partial match(1): HGHSF-FFMF11-SSSFFMBN
% 34.38/5.43  % Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 34.38/5.43  % Starting SubtermCWHack with 151s (1) cores
% 34.38/5.43  % Starting post_as_ho1 with 750s (1) cores
% 34.38/5.43  % Starting post_as_ho11 with 188s (1) cores
% 34.38/5.43  % Starting post_as_ho2 with 188s (1) cores
% 34.38/5.43  % Starting post_as_ho3 with 188s (1) cores
% 34.38/5.43  % post_as_ho2 with pid 3468320 completed with status 0
% 34.38/5.43  % Result found by post_as_ho2
% 34.38/5.43  % Preprocessing class: HSMSSMSSSSSNSSA.
% 34.38/5.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 34.38/5.43  % Starting post_as_ho1 with 1500s (5) cores
% 34.38/5.43  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 34.38/5.43  % No SInE strategy applied
% 34.38/5.43  % Search class: HGHSF-FSMF11-SSSFFMBN
% 34.38/5.43  % partial match(1): HGHSF-FFMF11-SSSFFMBN
% 34.38/5.43  % Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 34.38/5.43  % Starting SubtermCWHack with 151s (1) cores
% 34.38/5.43  % Starting post_as_ho1 with 750s (1) cores
% 34.38/5.43  % Starting post_as_ho11 with 188s (1) cores
% 34.38/5.43  % Starting post_as_ho2 with 188s (1) cores
% 34.38/5.43  % Preprocessing time       : 0.002 s
% 34.38/5.43  % Presaturation interreduction done
% 34.38/5.43  
% 34.38/5.43  % Proof found!
% 34.38/5.43  % SZS status Theorem
% 34.38/5.43  % SZS output start CNFRefutation
% See solution above
% 34.38/5.43  % Parsed axioms                        : 2
% 34.38/5.43  % Removed by relevancy pruning/SinE    : 0
% 34.38/5.43  % Initial clauses                      : 64
% 34.38/5.43  % Removed in clause preprocessing      : 1
% 34.38/5.43  % Initial clauses in saturation        : 63
% 34.38/5.43  % Processed clauses                    : 29868
% 34.38/5.43  % ...of these trivial                  : 114
% 34.38/5.43  % ...subsumed                          : 26571
% 34.38/5.43  % ...remaining for further processing  : 3183
% 34.38/5.43  % Other redundant clauses eliminated   : 0
% 34.38/5.43  % Clauses deleted for lack of memory   : 0
% 34.38/5.43  % Backward-subsumed                    : 1635
% 34.38/5.43  % Backward-rewritten                   : 1110
% 34.38/5.43  % Generated clauses                    : 256995
% 34.38/5.43  % ...of the previous two non-redundant : 199584
% 34.38/5.43  % ...aggressively subsumed             : 0
% 34.38/5.43  % Contextual simplify-reflections      : 207
% 34.38/5.43  % Paramodulations                      : 256666
% 34.38/5.43  % Factorizations                       : 0
% 34.38/5.43  % NegExts                              : 128
% 34.38/5.43  % Equation resolutions                 : 17
% 34.38/5.43  % Disequality decompositions           : 0
% 34.38/5.43  % Total rewrite steps                  : 51708
% 34.38/5.43  % ...of those cached                   : 51638
% 34.38/5.43  % Propositional unsat checks           : 0
% 34.38/5.43  %    Propositional check models        : 0
% 34.38/5.43  %    Propositional check unsatisfiable : 0
% 34.38/5.43  %    Propositional clauses             : 0
% 34.38/5.43  %    Propositional clauses after purity: 0
% 34.38/5.43  %    Propositional unsat core size     : 0
% 34.38/5.43  %    Propositional preprocessing time  : 0.000
% 34.38/5.43  %    Propositional encoding time       : 0.000
% 34.38/5.43  %    Propositional solver time         : 0.000
% 34.38/5.43  %    Success case prop preproc time    : 0.000
% 34.38/5.43  %    Success case prop encoding time   : 0.000
% 34.38/5.43  %    Success case prop solver time     : 0.000
% 34.38/5.43  % Current number of processed clauses  : 319
% 34.38/5.43  %    Positive orientable unit clauses  : 46
% 34.38/5.43  %    Positive unorientable unit clauses: 0
% 34.38/5.43  %    Negative unit clauses             : 3
% 34.38/5.43  %    Non-unit-clauses                  : 270
% 34.38/5.43  % Current number of unprocessed clauses: 22738
% 34.38/5.43  % ...number of literals in the above   : 129910
% 34.38/5.43  % Current number of archived formulas  : 0
% 34.38/5.43  % Current number of archived clauses   : 2864
% 34.38/5.43  % Clause-clause subsumption calls (NU) : 2619143
% 34.38/5.43  % Rec. Clause-clause subsumption calls : 268623
% 34.38/5.43  % Non-unit clause-clause subsumptions  : 28091
% 34.38/5.43  % Unit Clause-clause subsumption calls : 4930
% 34.38/5.43  % Rewrite failures with RHS unbound    : 0
% 34.38/5.43  % BW rewrite match attempts            : 18
% 34.38/5.43  % BW rewrite match successes           : 18
% 34.38/5.43  % Condensation attempts                : 0
% 34.38/5.43  % Condensation successes               : 0
% 34.38/5.43  % Termbank termtop insertions          : 7709376
% 34.38/5.43  % Search garbage collected termcells   : 821
% 34.38/5.43  
% 34.38/5.43  % -------------------------------------------------
% 34.38/5.43  % User time                : 5.012 s
% 34.38/5.43  % System time              : 0.111 s
% 34.38/5.43  % Total time               : 5.123 s
% 34.38/5.43  % Maximum resident set size: 3640 pages
% 34.38/5.43  
% 34.38/5.43  % -------------------------------------------------
% 34.38/5.43  % User time                : 23.697 s
% 34.38/5.43  % System time              : 0.396 s
% 34.38/5.43  % Total time               : 24.093 s
% 34.38/5.43  % Maximum resident set size: 4864 pages
% 34.38/5.43  % E exiting
%------------------------------------------------------------------------------