TSTP Solution File: LCL866^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : LCL866^1 : TPTP v8.2.0. Bugfixed v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 23:54:11 EDT 2024

% Result   : Theorem 3.66s 0.93s
% Output   : CNFRefutation 3.82s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_40,type,
    msymmetric: ( $i > $i > $o ) > $o ).

thf(decl_42,type,
    mtransitive: ( $i > $i > $o ) > $o ).

thf(decl_43,type,
    meuclidean: ( $i > $i > $o ) > $o ).

thf(decl_53,type,
    epred1_0: $i > $i > $o ).

thf(decl_54,type,
    esk1_0: $i ).

thf(decl_55,type,
    esk2_0: $i ).

thf(decl_56,type,
    esk3_0: $i ).

thf(decl_57,type,
    esk4_0: $i ).

thf(decl_58,type,
    esk5_0: $i ).

thf(decl_59,type,
    esk6_0: $i ).

thf(decl_60,type,
    esk7_0: $i ).

thf(decl_61,type,
    esk8_0: $i ).

thf(decl_62,type,
    esk9_0: $i ).

thf(decl_63,type,
    esk10_0: $i ).

thf(decl_64,type,
    esk11_0: $i ).

thf(decl_65,type,
    esk12_0: $i ).

thf(decl_66,type,
    esk13_0: $i ).

thf(msymmetric,axiom,
    ( msymmetric
    = ( ^ [X13: $i > $i > $o] :
        ! [X15: $i,X16: $i] :
          ( ( X13 @ X15 @ X16 )
         => ( X13 @ X16 @ X15 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',msymmetric) ).

thf(mtransitive,axiom,
    ( mtransitive
    = ( ^ [X13: $i > $i > $o] :
        ! [X15: $i,X16: $i,X17: $i] :
          ( ( ( X13 @ X15 @ X16 )
            & ( X13 @ X16 @ X17 ) )
         => ( X13 @ X15 @ X17 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mtransitive) ).

thf(meuclidean,axiom,
    ( meuclidean
    = ( ^ [X13: $i > $i > $o] :
        ! [X15: $i,X16: $i,X17: $i] :
          ( ( ( X13 @ X15 @ X16 )
            & ( X13 @ X15 @ X17 ) )
         => ( X13 @ X16 @ X17 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',meuclidean) ).

thf(conj,conjecture,
    ! [X13: $i > $i > $o] :
      ( ( ( msymmetric @ X13 )
        & ( meuclidean @ X13 ) )
    <=> ( ( mtransitive @ X13 )
        & ( msymmetric @ X13 )
        & ( meuclidean @ X13 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

thf(c_0_4,plain,
    ( msymmetric
    = ( ^ [Z0: $i > $i > $o] :
        ! [X15: $i,X16: $i] :
          ( ( Z0 @ X15 @ X16 )
         => ( Z0 @ X16 @ X15 ) ) ) ),
    inference(fof_simplification,[status(thm)],[msymmetric]) ).

thf(c_0_5,plain,
    ( mtransitive
    = ( ^ [Z0: $i > $i > $o] :
        ! [X15: $i,X16: $i,X17: $i] :
          ( ( ( Z0 @ X15 @ X16 )
            & ( Z0 @ X16 @ X17 ) )
         => ( Z0 @ X15 @ X17 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mtransitive]) ).

thf(c_0_6,plain,
    ( meuclidean
    = ( ^ [Z0: $i > $i > $o] :
        ! [X15: $i,X16: $i,X17: $i] :
          ( ( ( Z0 @ X15 @ X16 )
            & ( Z0 @ X15 @ X17 ) )
         => ( Z0 @ X16 @ X17 ) ) ) ),
    inference(fof_simplification,[status(thm)],[meuclidean]) ).

thf(c_0_7,negated_conjecture,
    ~ ! [X13: $i > $i > $o] :
        ( ( ! [X22: $i,X23: $i] :
              ( ( X13 @ X22 @ X23 )
             => ( X13 @ X23 @ X22 ) )
          & ! [X24: $i,X25: $i,X26: $i] :
              ( ( ( X13 @ X24 @ X25 )
                & ( X13 @ X24 @ X26 ) )
             => ( X13 @ X25 @ X26 ) ) )
      <=> ( ! [X27: $i,X28: $i,X29: $i] :
              ( ( ( X13 @ X27 @ X28 )
                & ( X13 @ X28 @ X29 ) )
             => ( X13 @ X27 @ X29 ) )
          & ! [X30: $i,X31: $i] :
              ( ( X13 @ X30 @ X31 )
             => ( X13 @ X31 @ X30 ) )
          & ! [X32: $i,X33: $i,X34: $i] :
              ( ( ( X13 @ X32 @ X33 )
                & ( X13 @ X32 @ X34 ) )
             => ( X13 @ X33 @ X34 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]),c_0_4]),c_0_5]),c_0_6]) ).

thf(c_0_8,negated_conjecture,
    ! [X49: $i,X50: $i,X51: $i,X52: $i,X53: $i,X54: $i,X55: $i,X56: $i,X57: $i,X58: $i,X59: $i,X60: $i,X61: $i] :
      ( ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ( epred1_0 @ esk3_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk12_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk11_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
        | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ X54 @ X55 )
        | ~ ( epred1_0 @ X55 @ X56 )
        | ( epred1_0 @ X54 @ X56 )
        | ~ ( epred1_0 @ X49 @ X50 )
        | ( epred1_0 @ X50 @ X49 ) )
      & ( ~ ( epred1_0 @ X57 @ X58 )
        | ( epred1_0 @ X58 @ X57 )
        | ~ ( epred1_0 @ X49 @ X50 )
        | ( epred1_0 @ X50 @ X49 ) )
      & ( ~ ( epred1_0 @ X59 @ X60 )
        | ~ ( epred1_0 @ X59 @ X61 )
        | ( epred1_0 @ X60 @ X61 )
        | ~ ( epred1_0 @ X49 @ X50 )
        | ( epred1_0 @ X50 @ X49 ) )
      & ( ~ ( epred1_0 @ X54 @ X55 )
        | ~ ( epred1_0 @ X55 @ X56 )
        | ( epred1_0 @ X54 @ X56 )
        | ~ ( epred1_0 @ X51 @ X52 )
        | ~ ( epred1_0 @ X51 @ X53 )
        | ( epred1_0 @ X52 @ X53 ) )
      & ( ~ ( epred1_0 @ X57 @ X58 )
        | ( epred1_0 @ X58 @ X57 )
        | ~ ( epred1_0 @ X51 @ X52 )
        | ~ ( epred1_0 @ X51 @ X53 )
        | ( epred1_0 @ X52 @ X53 ) )
      & ( ~ ( epred1_0 @ X59 @ X60 )
        | ~ ( epred1_0 @ X59 @ X61 )
        | ( epred1_0 @ X60 @ X61 )
        | ~ ( epred1_0 @ X51 @ X52 )
        | ~ ( epred1_0 @ X51 @ X53 )
        | ( epred1_0 @ X52 @ X53 ) ) ),
    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_7])])])])])]) ).

thf(c_0_9,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X17: $i,X14: $i,X21: $i] :
      ( ( epred1_0 @ X14 @ X15 )
      | ( epred1_0 @ X17 @ X21 )
      | ~ ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 )
      | ~ ( epred1_0 @ X16 @ X17 )
      | ~ ( epred1_0 @ X16 @ X21 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_10,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_11,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk11_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

thf(c_0_12,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_13,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_14,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).

thf(c_0_15,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i,X16: $i] :
      ( ( epred1_0 @ X14 @ X3 )
      | ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X16 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_16,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ~ ( epred1_0 @ esk11_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_14,c_0_10]) ).

thf(c_0_17,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_18,negated_conjecture,
    ! [X14: $i,X3: $i] :
      ( ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X14 @ X3 ) ),
    inference(condense,[status(thm)],[c_0_15]) ).

thf(c_0_19,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_12]),c_0_13]) ).

thf(c_0_20,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_17]) ).

thf(c_0_21,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk7_0 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

thf(c_0_22,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_23,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_24,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

thf(c_0_25,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_23]) ).

thf(c_0_26,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_27,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ esk7_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_17]) ).

thf(c_0_28,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_21]),c_0_26]) ).

thf(c_0_29,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_21]),c_0_22]) ).

thf(c_0_30,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ esk7_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_28,c_0_23]) ).

thf(c_0_31,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk12_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk11_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_29]) ).

thf(c_0_32,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_21]),c_0_26]) ).

thf(c_0_33,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

thf(c_0_34,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ~ ( epred1_0 @ esk11_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_33,c_0_32]) ).

thf(c_0_35,negated_conjecture,
    ( ( epred1_0 @ esk13_0 @ esk12_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_29]),c_0_18]) ).

thf(c_0_36,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X17: $i,X14: $i,X21: $i] :
      ( ( epred1_0 @ X3 @ X15 )
      | ( epred1_0 @ X17 @ X21 )
      | ~ ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ X16 @ X17 )
      | ~ ( epred1_0 @ X16 @ X21 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_37,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_38,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_35]) ).

thf(c_0_39,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ esk6_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_21]) ).

thf(c_0_40,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

thf(c_0_41,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

thf(c_0_42,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ X3 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_41,c_0_40]) ).

thf(c_0_43,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk6_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_19]),c_0_18]) ).

thf(c_0_44,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_45,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_46,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_43]) ).

thf(c_0_47,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_44]) ).

thf(c_0_48,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_38]) ).

thf(c_0_49,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_50,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_51,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

thf(c_0_52,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_50]) ).

thf(c_0_53,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_54,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_51,c_0_44]) ).

thf(c_0_55,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk4_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_48]) ).

thf(c_0_56,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_48]),c_0_53]) ).

thf(c_0_57,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_49]) ).

thf(c_0_58,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_56,c_0_50]) ).

thf(c_0_59,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk11_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_57]) ).

thf(c_0_60,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_55]),c_0_53]) ).

thf(c_0_61,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk12_0 @ esk13_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

thf(c_0_62,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk12_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ~ ( epred1_0 @ X3 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_61,c_0_57]) ).

thf(c_0_63,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk12_0 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_60]) ).

thf(c_0_64,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_65,negated_conjecture,
    ( ( epred1_0 @ esk12_0 @ esk13_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

thf(c_0_66,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ esk4_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_48]) ).

thf(c_0_67,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

thf(c_0_68,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_69,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

thf(c_0_70,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_68]) ).

thf(c_0_71,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_72,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_69,c_0_67]) ).

thf(c_0_73,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_74,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_48]),c_0_71]) ).

thf(c_0_75,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_55]),c_0_18]) ).

thf(c_0_76,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_73]) ).

thf(c_0_77,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_78,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_74,c_0_68]) ).

thf(c_0_79,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_80,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_75]) ).

thf(c_0_81,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_48]),c_0_77]) ).

thf(c_0_82,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_55]),c_0_71]) ).

thf(c_0_83,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_65]) ).

thf(c_0_84,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_81,c_0_73]) ).

thf(c_0_85,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_82]) ).

thf(c_0_86,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_83]) ).

thf(c_0_87,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_55]),c_0_77]) ).

thf(c_0_88,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk8_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

thf(c_0_89,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_87]) ).

thf(c_0_90,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk6_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ esk7_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_88,c_0_82]) ).

thf(c_0_91,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk6_0 @ esk8_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_89,c_0_86]) ).

thf(c_0_92,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_93,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_90,c_0_86]) ).

thf(c_0_94,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk6_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ X3 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_91,c_0_87]) ).

thf(c_0_95,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

thf(c_0_96,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_97,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(spm,[status(thm)],[c_0_94,c_0_83]) ).

thf(c_0_98,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_66,c_0_95]) ).

thf(c_0_99,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

thf(c_0_100,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_98,c_0_95]) ).

thf(c_0_101,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_66,c_0_99]) ).

thf(c_0_102,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_55]),c_0_18]) ).

thf(c_0_103,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_101,c_0_99]) ).

thf(c_0_104,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_105,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_102]) ).

thf(c_0_106,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_55]),c_0_18]) ).

thf(c_0_107,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_93]) ).

thf(c_0_108,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_109,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_106]) ).

thf(c_0_110,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk11_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_107]) ).

thf(c_0_111,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_97]) ).

thf(c_0_112,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk12_0 @ esk13_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

thf(c_0_113,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk12_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ~ ( epred1_0 @ esk11_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_112,c_0_107]) ).

thf(c_0_114,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_115,negated_conjecture,
    ( ( epred1_0 @ esk12_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_113,c_0_111]) ).

thf(c_0_116,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

thf(c_0_117,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_66,c_0_116]) ).

thf(c_0_118,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_117,c_0_116]) ).

thf(c_0_119,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_55]),c_0_18]) ).

thf(c_0_120,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_121,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_119]) ).

thf(c_0_122,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk6_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_86]) ).

thf(c_0_123,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_115]) ).

thf(c_0_124,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

thf(c_0_125,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ X3 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_124,c_0_123]) ).

thf(c_0_126,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk6_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_83]),c_0_18]) ).

thf(c_0_127,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_128,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_126]) ).

thf(c_0_129,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_115]) ).

thf(c_0_130,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_66,c_0_129]) ).

thf(c_0_131,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_130,c_0_129]) ).

thf(c_0_132,negated_conjecture,
    ( ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_55]),c_0_18]) ).

thf(c_0_133,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_134,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_132]) ).

thf(c_0_135,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_115]),c_0_128]) ).

thf(c_0_136,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_137,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_135]) ).

thf(c_0_138,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

thf(c_0_139,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_140,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ esk12_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk11_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_138]) ).

thf(c_0_141,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_139,c_0_137]) ).

thf(c_0_142,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

thf(c_0_143,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ~ ( epred1_0 @ X3 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_142,c_0_141]) ).

thf(c_0_144,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk12_0 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_138]) ).

thf(c_0_145,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_146,negated_conjecture,
    ( ( epred1_0 @ esk13_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_18]) ).

thf(c_0_147,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_145,c_0_137]) ).

thf(c_0_148,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_149,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_146]),c_0_147]) ).

thf(c_0_150,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_148,c_0_137]) ).

thf(c_0_151,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_152,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk7_0 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_149]) ).

thf(c_0_153,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_154,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_150]) ).

thf(c_0_155,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_151,c_0_137]) ).

thf(c_0_156,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ esk6_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_152]) ).

thf(c_0_157,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_153,c_0_137]) ).

thf(c_0_158,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_152]),c_0_155]) ).

thf(c_0_159,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

thf(c_0_160,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ X3 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_158,c_0_150]) ).

thf(c_0_161,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ X3 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_159,c_0_157]) ).

thf(c_0_162,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_163,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_149]),c_0_155]) ).

thf(c_0_164,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk8_0 @ esk6_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_149]),c_0_18]) ).

thf(c_0_165,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_162,c_0_137]) ).

thf(c_0_166,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ esk12_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk11_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_163]) ).

thf(c_0_167,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_164]),c_0_165]) ).

thf(c_0_168,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

thf(c_0_169,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ~ ( epred1_0 @ esk11_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_168,c_0_167]) ).

thf(c_0_170,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_171,negated_conjecture,
    ( ( epred1_0 @ esk13_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_163]),c_0_18]) ).

thf(c_0_172,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_170,c_0_137]) ).

thf(c_0_173,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_171]) ).

thf(c_0_174,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

thf(c_0_175,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_156,c_0_174]) ).

thf(c_0_176,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ X3 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_175,c_0_174]) ).

thf(c_0_177,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_178,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_179,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk6_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_149]),c_0_18]) ).

thf(c_0_180,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_177,c_0_137]) ).

thf(c_0_181,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_178,c_0_137]) ).

thf(c_0_182,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_179]) ).

thf(c_0_183,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_184,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_185,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_180]) ).

thf(c_0_186,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_173]) ).

thf(c_0_187,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_183,c_0_137]) ).

thf(c_0_188,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_184,c_0_137]) ).

thf(c_0_189,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_190,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]) ).

thf(c_0_191,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_188]) ).

thf(c_0_192,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_189,c_0_137]) ).

thf(c_0_193,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_190,c_0_180]) ).

thf(c_0_194,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_186]),c_0_192]) ).

thf(c_0_195,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_186]),c_0_187]) ).

thf(c_0_196,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_194,c_0_188]) ).

thf(c_0_197,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ esk12_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk11_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_195]) ).

thf(c_0_198,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_186]),c_0_192]) ).

thf(c_0_199,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_197,c_0_198]) ).

thf(c_0_200,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ~ ( epred1_0 @ X3 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_199,c_0_198]) ).

thf(c_0_201,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk12_0 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_195]) ).

thf(c_0_202,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_203,negated_conjecture,
    ( ( epred1_0 @ esk13_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_18]) ).

thf(c_0_204,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_202,c_0_137]) ).

thf(c_0_205,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_203]) ).

thf(c_0_206,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ esk4_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_186]) ).

thf(c_0_207,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_204,c_0_205]) ).

thf(c_0_208,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_206,c_0_207]) ).

thf(c_0_209,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_208,c_0_207]) ).

thf(c_0_210,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk4_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_186]) ).

thf(c_0_211,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_212,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_213,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_18]) ).

thf(c_0_214,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_211,c_0_137]) ).

thf(c_0_215,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_216,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_217,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_212,c_0_137]) ).

thf(c_0_218,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_213]) ).

thf(c_0_219,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_214]) ).

thf(c_0_220,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_215,c_0_137]) ).

thf(c_0_221,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_216,c_0_137]) ).

thf(c_0_222,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_223,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_205]) ).

thf(c_0_224,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_186]),c_0_220]) ).

thf(c_0_225,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_221]) ).

thf(c_0_226,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_222,c_0_137]) ).

thf(c_0_227,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_223]) ).

thf(c_0_228,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_224,c_0_214]) ).

thf(c_0_229,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_186]),c_0_226]) ).

thf(c_0_230,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ esk6_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_227]) ).

thf(c_0_231,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_186]),c_0_220]) ).

thf(c_0_232,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_229,c_0_221]) ).

thf(c_0_233,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_230,c_0_231]) ).

thf(c_0_234,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_186]),c_0_226]) ).

thf(c_0_235,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ X3 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_233,c_0_231]) ).

thf(c_0_236,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_230,c_0_234]) ).

thf(c_0_237,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_238,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk8_0 @ esk6_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_223]),c_0_18]) ).

thf(c_0_239,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ X3 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_236,c_0_234]) ).

thf(c_0_240,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_237,c_0_137]) ).

thf(c_0_241,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_238]) ).

thf(c_0_242,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_243,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk8_0 @ esk6_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_223]),c_0_18]) ).

thf(c_0_244,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_240,c_0_241]) ).

thf(c_0_245,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_242,c_0_137]) ).

thf(c_0_246,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_243]) ).

thf(c_0_247,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_206,c_0_244]) ).

thf(c_0_248,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(spm,[status(thm)],[c_0_245,c_0_246]) ).

thf(c_0_249,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_247,c_0_244]) ).

thf(c_0_250,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_206,c_0_248]) ).

thf(c_0_251,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_252,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_210]),c_0_18]) ).

thf(c_0_253,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_250,c_0_248]) ).

thf(c_0_254,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_251,c_0_137]) ).

thf(c_0_255,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_252]) ).

thf(c_0_256,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_257,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_210]),c_0_18]) ).

thf(c_0_258,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_241]) ).

thf(c_0_259,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_256,c_0_137]) ).

thf(c_0_260,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_257]) ).

thf(c_0_261,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk11_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_258]) ).

thf(c_0_262,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_246]) ).

thf(c_0_263,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk12_0 @ esk13_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_261,c_0_262]) ).

thf(c_0_264,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_265,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk12_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ~ ( epred1_0 @ X3 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_263,c_0_258]) ).

thf(c_0_266,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk12_0 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_262]) ).

thf(c_0_267,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_264,c_0_137]) ).

thf(c_0_268,negated_conjecture,
    ( ( epred1_0 @ esk12_0 @ esk13_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_265,c_0_266]) ).

thf(c_0_269,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_267,c_0_268]) ).

thf(c_0_270,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_206,c_0_269]) ).

thf(c_0_271,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_270,c_0_269]) ).

thf(c_0_272,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_273,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_210]),c_0_18]) ).

thf(c_0_274,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_272,c_0_137]) ).

thf(c_0_275,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_273]) ).

thf(c_0_276,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_268]) ).

thf(c_0_277,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_230,c_0_276]) ).

thf(c_0_278,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ X3 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_277,c_0_276]) ).

thf(c_0_279,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_280,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk6_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_223]),c_0_18]) ).

thf(c_0_281,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_279,c_0_137]) ).

thf(c_0_282,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_280]) ).

thf(c_0_283,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_268]) ).

thf(c_0_284,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_206,c_0_283]) ).

thf(c_0_285,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk9_0 @ esk10_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_284,c_0_283]) ).

thf(c_0_286,negated_conjecture,
    ( ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_210]),c_0_18]) ).

thf(c_0_287,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_288,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_286]) ).

thf(c_0_289,negated_conjecture,
    epred1_0 @ esk9_0 @ esk10_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_268]),c_0_282]),c_0_137]) ).

thf(c_0_290,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_291,negated_conjecture,
    epred1_0 @ esk10_0 @ esk9_0,
    inference(spm,[status(thm)],[c_0_18,c_0_289]) ).

thf(c_0_292,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_290,c_0_291])]) ).

thf(c_0_293,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_294,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_295,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk11_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_292]) ).

thf(c_0_296,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_291])]) ).

thf(c_0_297,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_291])]) ).

thf(c_0_298,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_297]) ).

thf(c_0_299,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ~ ( epred1_0 @ X3 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_298,c_0_292]) ).

thf(c_0_300,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk12_0 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_296]) ).

thf(c_0_301,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_297]) ).

thf(c_0_302,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk7_0 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_301]) ).

thf(c_0_303,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_304,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk6_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_302]) ).

thf(c_0_305,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_303,c_0_291])]) ).

thf(c_0_306,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_307,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_304,c_0_305]) ).

thf(c_0_308,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_306,c_0_291])]) ).

thf(c_0_309,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ X3 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_307,c_0_305]) ).

thf(c_0_310,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_311,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_304,c_0_308]) ).

thf(c_0_312,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk8_0 @ esk6_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_301]),c_0_18]) ).

thf(c_0_313,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_291])]) ).

thf(c_0_314,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ X3 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_311,c_0_308]) ).

thf(c_0_315,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_316,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_312]),c_0_313]) ).

thf(c_0_317,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk8_0 @ esk6_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_301]),c_0_18]) ).

thf(c_0_318,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_291])]) ).

thf(c_0_319,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ esk12_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk11_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_316]) ).

thf(c_0_320,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_317]),c_0_318]) ).

thf(c_0_321,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_319,c_0_320]) ).

thf(c_0_322,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ~ ( epred1_0 @ esk11_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_321,c_0_320]) ).

thf(c_0_323,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_324,negated_conjecture,
    ( ( epred1_0 @ esk13_0 @ esk12_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_316]),c_0_18]) ).

thf(c_0_325,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_323,c_0_291])]) ).

thf(c_0_326,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_324]) ).

thf(c_0_327,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_325,c_0_326]) ).

thf(c_0_328,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_304,c_0_327]) ).

thf(c_0_329,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ X3 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_328,c_0_327]) ).

thf(c_0_330,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_331,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk6_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_301]),c_0_18]) ).

thf(c_0_332,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_330,c_0_291])]) ).

thf(c_0_333,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_331]) ).

thf(c_0_334,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_326]) ).

thf(c_0_335,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_336,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk4_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_334]) ).

thf(c_0_337,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_335,c_0_291])]) ).

thf(c_0_338,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_339,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_336,c_0_337]) ).

thf(c_0_340,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_291])]) ).

thf(c_0_341,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_342,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_339,c_0_337]) ).

thf(c_0_343,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk4_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_334]) ).

thf(c_0_344,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_345,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_340]) ).

thf(c_0_346,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_291])]) ).

thf(c_0_347,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_18]) ).

thf(c_0_348,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_344,c_0_291])]) ).

thf(c_0_349,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_334]),c_0_346]) ).

thf(c_0_350,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_347]),c_0_348]) ).

thf(c_0_351,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_349,c_0_340]) ).

thf(c_0_352,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk12_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk11_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_350]) ).

thf(c_0_353,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_343]),c_0_346]) ).

thf(c_0_354,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_352,c_0_353]) ).

thf(c_0_355,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ~ ( epred1_0 @ esk11_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_354,c_0_353]) ).

thf(c_0_356,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_357,negated_conjecture,
    ( ( epred1_0 @ esk13_0 @ esk12_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_350]),c_0_18]) ).

thf(c_0_358,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_356,c_0_291])]) ).

thf(c_0_359,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_357]) ).

thf(c_0_360,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_361,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk4_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_334]) ).

thf(c_0_362,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_358,c_0_359]) ).

thf(c_0_363,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_360,c_0_291])]) ).

thf(c_0_364,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_361,c_0_362]) ).

thf(c_0_365,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_366,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_336,c_0_363]) ).

thf(c_0_367,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_364,c_0_362]) ).

thf(c_0_368,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_365,c_0_291])]) ).

thf(c_0_369,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_366,c_0_363]) ).

thf(c_0_370,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_371,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_372,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_334]),c_0_18]) ).

thf(c_0_373,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_336,c_0_368]) ).

thf(c_0_374,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_343]),c_0_18]) ).

thf(c_0_375,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_370,c_0_291])]) ).

thf(c_0_376,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_371,c_0_291])]) ).

thf(c_0_377,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_372]) ).

thf(c_0_378,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_373,c_0_368]) ).

thf(c_0_379,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_380,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_374]),c_0_375]) ).

thf(c_0_381,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_359]) ).

thf(c_0_382,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_343]),c_0_18]) ).

thf(c_0_383,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_379,c_0_291])]) ).

thf(c_0_384,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_380]) ).

thf(c_0_385,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk7_0 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_381]) ).

thf(c_0_386,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_382]),c_0_383]) ).

thf(c_0_387,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk8_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_384,c_0_385]) ).

thf(c_0_388,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_386]) ).

thf(c_0_389,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_390,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk6_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ esk7_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_387,c_0_380]) ).

thf(c_0_391,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk8_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_388,c_0_385]) ).

thf(c_0_392,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_389,c_0_291])]) ).

thf(c_0_393,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_390,c_0_385]) ).

thf(c_0_394,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_395,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk6_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ esk7_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_391,c_0_386]) ).

thf(c_0_396,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_392,c_0_393]) ).

thf(c_0_397,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_394,c_0_291])]) ).

thf(c_0_398,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(spm,[status(thm)],[c_0_395,c_0_385]) ).

thf(c_0_399,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_361,c_0_396]) ).

thf(c_0_400,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(spm,[status(thm)],[c_0_397,c_0_398]) ).

thf(c_0_401,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_399,c_0_396]) ).

thf(c_0_402,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_361,c_0_400]) ).

thf(c_0_403,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_404,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_334]),c_0_18]) ).

thf(c_0_405,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_402,c_0_400]) ).

thf(c_0_406,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_403,c_0_291])]) ).

thf(c_0_407,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_404]) ).

thf(c_0_408,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_409,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_334]),c_0_18]) ).

thf(c_0_410,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_393]) ).

thf(c_0_411,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_408,c_0_291])]) ).

thf(c_0_412,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_409]) ).

thf(c_0_413,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk11_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_410]) ).

thf(c_0_414,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_398]) ).

thf(c_0_415,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk12_0 @ esk13_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_413,c_0_414]) ).

thf(c_0_416,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_417,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk12_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ~ ( epred1_0 @ X3 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_415,c_0_410]) ).

thf(c_0_418,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk12_0 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_414]) ).

thf(c_0_419,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_416,c_0_291])]) ).

thf(c_0_420,negated_conjecture,
    ( ( epred1_0 @ esk12_0 @ esk13_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_417,c_0_418]) ).

thf(c_0_421,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_419,c_0_420]) ).

thf(c_0_422,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_361,c_0_421]) ).

thf(c_0_423,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_422,c_0_421]) ).

thf(c_0_424,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_425,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_334]),c_0_18]) ).

thf(c_0_426,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_424,c_0_291])]) ).

thf(c_0_427,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_425]) ).

thf(c_0_428,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ esk6_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_385]) ).

thf(c_0_429,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_427]),c_0_420]) ).

thf(c_0_430,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_428,c_0_429]) ).

thf(c_0_431,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ esk7_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_430,c_0_429]) ).

thf(c_0_432,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_433,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk6_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_385]),c_0_18]) ).

thf(c_0_434,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_432,c_0_291])]) ).

thf(c_0_435,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_433]) ).

thf(c_0_436,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_435]),c_0_420]) ).

thf(c_0_437,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_361,c_0_436]) ).

thf(c_0_438,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_437,c_0_436]) ).

thf(c_0_439,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_440,negated_conjecture,
    ( ( epred1_0 @ esk5_0 @ esk4_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_334]),c_0_18]) ).

thf(c_0_441,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_439,c_0_291])]) ).

thf(c_0_442,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_440]) ).

thf(c_0_443,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_444,negated_conjecture,
    epred1_0 @ esk1_0 @ esk2_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_442]),c_0_420]),c_0_435]) ).

thf(c_0_445,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_443,c_0_291])]) ).

thf(c_0_446,negated_conjecture,
    epred1_0 @ esk2_0 @ esk1_0,
    inference(spm,[status(thm)],[c_0_18,c_0_444]) ).

thf(c_0_447,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_448,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_445,c_0_446])]) ).

thf(c_0_449,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_447,c_0_291])]) ).

thf(c_0_450,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ esk12_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk11_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_448]) ).

thf(c_0_451,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_449,c_0_446])]) ).

thf(c_0_452,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_450,c_0_451]) ).

thf(c_0_453,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_454,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_455,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ~ ( epred1_0 @ X3 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_452,c_0_451]) ).

thf(c_0_456,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk12_0 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_448]) ).

thf(c_0_457,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_453,c_0_291])]) ).

thf(c_0_458,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_454,c_0_291])]) ).

thf(c_0_459,negated_conjecture,
    ( ( epred1_0 @ esk13_0 @ esk12_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_456]),c_0_18]) ).

thf(c_0_460,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_457,c_0_446])]) ).

thf(c_0_461,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_462,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_463,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_458,c_0_446])]) ).

thf(c_0_464,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_459]),c_0_460]) ).

thf(c_0_465,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_461,c_0_291])]) ).

thf(c_0_466,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_462,c_0_291])]) ).

thf(c_0_467,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_468,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_463]) ).

thf(c_0_469,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk7_0 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_464]) ).

thf(c_0_470,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_465,c_0_446])]) ).

thf(c_0_471,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_466,c_0_446])]) ).

thf(c_0_472,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_467,c_0_291])]) ).

thf(c_0_473,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_469]),c_0_470]) ).

thf(c_0_474,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_471]) ).

thf(c_0_475,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_472,c_0_446])]) ).

thf(c_0_476,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ X3 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_473,c_0_463]) ).

thf(c_0_477,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_469]),c_0_475]) ).

thf(c_0_478,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_464]),c_0_470]) ).

thf(c_0_479,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ esk7_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_477,c_0_471]) ).

thf(c_0_480,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ esk12_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk11_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_478]) ).

thf(c_0_481,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_469]),c_0_475]) ).

thf(c_0_482,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_480,c_0_481]) ).

thf(c_0_483,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_484,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ~ ( epred1_0 @ X3 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_482,c_0_481]) ).

thf(c_0_485,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk12_0 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_478]) ).

thf(c_0_486,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_483,c_0_291])]) ).

thf(c_0_487,negated_conjecture,
    ( ( epred1_0 @ esk13_0 @ esk12_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_485]),c_0_18]) ).

thf(c_0_488,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_486,c_0_446])]) ).

thf(c_0_489,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_487]) ).

thf(c_0_490,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ esk6_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_469]) ).

thf(c_0_491,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_488,c_0_489]) ).

thf(c_0_492,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_490,c_0_491]) ).

thf(c_0_493,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_494,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_495,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk3_0 @ esk4_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ X3 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_492,c_0_491]) ).

thf(c_0_496,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_493,c_0_291])]) ).

thf(c_0_497,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_494,c_0_291])]) ).

thf(c_0_498,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk6_0 )
    | ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_464]),c_0_18]) ).

thf(c_0_499,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_500,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_501,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_496,c_0_446])]) ).

thf(c_0_502,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_497,c_0_446])]) ).

thf(c_0_503,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_498]) ).

thf(c_0_504,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_499,c_0_291])]) ).

thf(c_0_505,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_500,c_0_291])]) ).

thf(c_0_506,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_507,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_501]) ).

thf(c_0_508,negated_conjecture,
    epred1_0 @ esk3_0 @ esk4_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_503]),c_0_489]) ).

thf(c_0_509,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_504,c_0_446])]) ).

thf(c_0_510,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_505,c_0_446])]) ).

thf(c_0_511,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_506,c_0_291])]) ).

thf(c_0_512,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_508]),c_0_509]) ).

thf(c_0_513,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_510]) ).

thf(c_0_514,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_511,c_0_446])]) ).

thf(c_0_515,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_512,c_0_501]) ).

thf(c_0_516,negated_conjecture,
    epred1_0 @ esk4_0 @ esk3_0,
    inference(spm,[status(thm)],[c_0_18,c_0_508]) ).

thf(c_0_517,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_508]),c_0_514]) ).

thf(c_0_518,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_516]),c_0_509]) ).

thf(c_0_519,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_517,c_0_510]) ).

thf(c_0_520,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk12_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk11_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_518]) ).

thf(c_0_521,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_508]),c_0_514]) ).

thf(c_0_522,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_520,c_0_521]) ).

thf(c_0_523,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_524,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ~ ( epred1_0 @ X3 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_522,c_0_521]) ).

thf(c_0_525,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk12_0 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_518]) ).

thf(c_0_526,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_523,c_0_291])]) ).

thf(c_0_527,negated_conjecture,
    ( ( epred1_0 @ esk13_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_525]),c_0_18]) ).

thf(c_0_528,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_526,c_0_446])]) ).

thf(c_0_529,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_527]) ).

thf(c_0_530,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ X3 @ esk4_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_508]) ).

thf(c_0_531,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_528,c_0_529]) ).

thf(c_0_532,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_530,c_0_531]) ).

thf(c_0_533,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_534,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_535,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_532,c_0_531]) ).

thf(c_0_536,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_533,c_0_291])]) ).

thf(c_0_537,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_538,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_539,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_534,c_0_291])]) ).

thf(c_0_540,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_508]),c_0_18]) ).

thf(c_0_541,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_536,c_0_446])]) ).

thf(c_0_542,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_537,c_0_291])]) ).

thf(c_0_543,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_538,c_0_291])]) ).

thf(c_0_544,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_545,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_539,c_0_446])]) ).

thf(c_0_546,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_540]) ).

thf(c_0_547,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_541]) ).

thf(c_0_548,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_542,c_0_446])]) ).

thf(c_0_549,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_543,c_0_446])]) ).

thf(c_0_550,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_544,c_0_291])]) ).

thf(c_0_551,negated_conjecture,
    epred1_0 @ esk6_0 @ esk7_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_546]),c_0_529]) ).

thf(c_0_552,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_508]),c_0_548]) ).

thf(c_0_553,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_549]) ).

thf(c_0_554,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_550,c_0_446])]) ).

thf(c_0_555,negated_conjecture,
    epred1_0 @ esk7_0 @ esk6_0,
    inference(spm,[status(thm)],[c_0_18,c_0_551]) ).

thf(c_0_556,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_552,c_0_541]) ).

thf(c_0_557,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_508]),c_0_554]) ).

thf(c_0_558,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ X3 @ esk6_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_555]) ).

thf(c_0_559,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_508]),c_0_548]) ).

thf(c_0_560,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_557,c_0_549]) ).

thf(c_0_561,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_558,c_0_559]) ).

thf(c_0_562,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_516]),c_0_554]) ).

thf(c_0_563,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_564,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ esk7_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_561,c_0_559]) ).

thf(c_0_565,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_558,c_0_562]) ).

thf(c_0_566,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_563,c_0_291])]) ).

thf(c_0_567,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk8_0 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_555]),c_0_18]) ).

thf(c_0_568,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_569,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ esk7_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_565,c_0_562]) ).

thf(c_0_570,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk11_0 @ esk12_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_566,c_0_446])]) ).

thf(c_0_571,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_567]) ).

thf(c_0_572,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_568,c_0_291])]) ).

thf(c_0_573,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk8_0 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_555]),c_0_18]) ).

thf(c_0_574,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_570,c_0_571]) ).

thf(c_0_575,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk11_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_572,c_0_446])]) ).

thf(c_0_576,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_573]) ).

thf(c_0_577,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_530,c_0_574]) ).

thf(c_0_578,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_575,c_0_576]) ).

thf(c_0_579,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_580,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk11_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_577,c_0_574]) ).

thf(c_0_581,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_530,c_0_578]) ).

thf(c_0_582,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_579,c_0_291])]) ).

thf(c_0_583,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_508]),c_0_18]) ).

thf(c_0_584,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_585,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk11_0 @ esk13_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_581,c_0_578]) ).

thf(c_0_586,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_582,c_0_446])]) ).

thf(c_0_587,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk12_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_583]) ).

thf(c_0_588,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_584,c_0_291])]) ).

thf(c_0_589,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_508]),c_0_18]) ).

thf(c_0_590,negated_conjecture,
    epred1_0 @ esk11_0 @ esk12_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_587]),c_0_571]) ).

thf(c_0_591,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_588,c_0_446])]) ).

thf(c_0_592,negated_conjecture,
    ( ( epred1_0 @ esk11_0 @ esk13_0 )
    | ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_589]) ).

thf(c_0_593,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ X3 @ esk12_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk11_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_590]) ).

thf(c_0_594,negated_conjecture,
    epred1_0 @ esk11_0 @ esk13_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_592]),c_0_576]) ).

thf(c_0_595,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_593,c_0_594]) ).

thf(c_0_596,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_597,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk13_0 @ esk12_0 )
      | ( epred1_0 @ X3 @ esk13_0 )
      | ~ ( epred1_0 @ X3 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_595,c_0_594]) ).

thf(c_0_598,negated_conjecture,
    epred1_0 @ esk12_0 @ esk11_0,
    inference(spm,[status(thm)],[c_0_18,c_0_590]) ).

thf(c_0_599,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_596,c_0_291])]) ).

thf(c_0_600,negated_conjecture,
    epred1_0 @ esk13_0 @ esk12_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_598]),c_0_18]) ).

thf(c_0_601,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_599,c_0_446])]) ).

thf(c_0_602,negated_conjecture,
    epred1_0 @ esk12_0 @ esk13_0,
    inference(spm,[status(thm)],[c_0_18,c_0_600]) ).

thf(c_0_603,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk3_0 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_601,c_0_602])]) ).

thf(c_0_604,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_605,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_530,c_0_603]) ).

thf(c_0_606,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_604,c_0_291])]) ).

thf(c_0_607,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk5_0 @ esk4_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_605,c_0_603]) ).

thf(c_0_608,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_606,c_0_446])]) ).

thf(c_0_609,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk5_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_508]),c_0_18]) ).

thf(c_0_610,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_608,c_0_602])]) ).

thf(c_0_611,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_612,negated_conjecture,
    epred1_0 @ esk7_0 @ esk8_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_609]),c_0_610]) ).

thf(c_0_613,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
      | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
      | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_611]) ).

thf(c_0_614,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_558,c_0_612]) ).

thf(c_0_615,negated_conjecture,
    ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
    | ~ ( epred1_0 @ esk10_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_616,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
      | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
      | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_613,c_0_291])]) ).

thf(c_0_617,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk8_0 @ esk6_0 )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ~ ( epred1_0 @ esk7_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_614,c_0_612]) ).

thf(c_0_618,negated_conjecture,
    ( ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_615,c_0_291])]) ).

thf(c_0_619,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
      | ~ ( epred1_0 @ esk12_0 @ esk13_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_616,c_0_446])]) ).

thf(c_0_620,negated_conjecture,
    epred1_0 @ esk8_0 @ esk6_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_617,c_0_555]),c_0_18]) ).

thf(c_0_621,negated_conjecture,
    ( ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_618,c_0_446])]) ).

thf(c_0_622,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk2_0 @ esk1_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_611,c_0_291])]) ).

thf(c_0_623,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_619,c_0_602])]) ).

thf(c_0_624,negated_conjecture,
    epred1_0 @ esk6_0 @ esk8_0,
    inference(spm,[status(thm)],[c_0_18,c_0_620]) ).

thf(c_0_625,negated_conjecture,
    ( ~ ( epred1_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_621,c_0_602])]) ).

thf(c_0_626,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk12_0 @ esk13_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_622,c_0_446])]) ).

thf(c_0_627,negated_conjecture,
    ! [X3: $i,X15: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ X3 @ esk5_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X14 @ X16 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_623,c_0_624])]) ).

thf(c_0_628,negated_conjecture,
    ~ ( epred1_0 @ esk4_0 @ esk5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_625,c_0_624])]) ).

thf(c_0_629,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_626,c_0_602])]) ).

thf(c_0_630,negated_conjecture,
    ! [X14: $i,X3: $i,X15: $i] :
      ( ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_627,c_0_508]),c_0_628]) ).

thf(c_0_631,negated_conjecture,
    epred1_0 @ esk3_0 @ esk5_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_629,c_0_624])]) ).

thf(c_0_632,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ X3 @ esk5_0 )
      | ~ ( epred1_0 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_630,c_0_631]) ).

thf(c_0_633,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_628,c_0_632]),c_0_516])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : LCL866^1 : TPTP v8.2.0. Bugfixed v5.0.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 03:10:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running higher-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.66/0.93  # Version: 3.1.0-ho
% 3.66/0.93  # Preprocessing class: HSMSSMSSMLMNHSN.
% 3.66/0.93  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.66/0.93  # Starting ho_unfolding_3 with 1500s (5) cores
% 3.66/0.93  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 3.66/0.93  # Starting almost_fo_3_lam with 300s (1) cores
% 3.66/0.93  # Starting post_as_ho1 with 300s (1) cores
% 3.66/0.93  # ho_unfolding_3 with pid 19251 completed with status 0
% 3.66/0.93  # Result found by ho_unfolding_3
% 3.66/0.93  # Preprocessing class: HSMSSMSSMLMNHSN.
% 3.66/0.93  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.66/0.93  # Starting ho_unfolding_3 with 1500s (5) cores
% 3.66/0.93  # No SInE strategy applied
% 3.66/0.93  # Search class: HGHNF-FSLM00-SHSSMFNN
% 3.66/0.93  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.66/0.93  # Starting new_ho_10 with 811s (1) cores
% 3.66/0.93  # Starting ho_unfolding_3 with 151s (1) cores
% 3.66/0.93  # Starting new_bool_1 with 136s (1) cores
% 3.66/0.93  # Starting new_bool_2 with 136s (1) cores
% 3.66/0.93  # Starting ehoh_best_sine_rwall with 136s (1) cores
% 3.66/0.93  # ho_unfolding_3 with pid 19257 completed with status 0
% 3.66/0.93  # Result found by ho_unfolding_3
% 3.66/0.93  # Preprocessing class: HSMSSMSSMLMNHSN.
% 3.66/0.93  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.66/0.93  # Starting ho_unfolding_3 with 1500s (5) cores
% 3.66/0.93  # No SInE strategy applied
% 3.66/0.93  # Search class: HGHNF-FSLM00-SHSSMFNN
% 3.66/0.93  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.66/0.93  # Starting new_ho_10 with 811s (1) cores
% 3.66/0.93  # Starting ho_unfolding_3 with 151s (1) cores
% 3.66/0.93  # Preprocessing time       : 0.004 s
% 3.66/0.93  # Presaturation interreduction done
% 3.66/0.93  
% 3.66/0.93  # Proof found!
% 3.66/0.93  # SZS status Theorem
% 3.66/0.93  # SZS output start CNFRefutation
% See solution above
% 3.82/0.93  # Parsed axioms                        : 64
% 3.82/0.93  # Removed by relevancy pruning/SinE    : 0
% 3.82/0.93  # Initial clauses                      : 146
% 3.82/0.93  # Removed in clause preprocessing      : 32
% 3.82/0.93  # Initial clauses in saturation        : 114
% 3.82/0.93  # Processed clauses                    : 4583
% 3.82/0.93  # ...of these trivial                  : 20
% 3.82/0.93  # ...subsumed                          : 2277
% 3.82/0.93  # ...remaining for further processing  : 2286
% 3.82/0.93  # Other redundant clauses eliminated   : 0
% 3.82/0.93  # Clauses deleted for lack of memory   : 0
% 3.82/0.93  # Backward-subsumed                    : 1738
% 3.82/0.93  # Backward-rewritten                   : 360
% 3.82/0.93  # Generated clauses                    : 13252
% 3.82/0.93  # ...of the previous two non-redundant : 11651
% 3.82/0.93  # ...aggressively subsumed             : 0
% 3.82/0.93  # Contextual simplify-reflections      : 158
% 3.82/0.93  # Paramodulations                      : 13252
% 3.82/0.93  # Factorizations                       : 0
% 3.82/0.93  # NegExts                              : 0
% 3.82/0.93  # Equation resolutions                 : 0
% 3.82/0.93  # Disequality decompositions           : 0
% 3.82/0.93  # Total rewrite steps                  : 1006
% 3.82/0.93  # ...of those cached                   : 974
% 3.82/0.93  # Propositional unsat checks           : 0
% 3.82/0.93  #    Propositional check models        : 0
% 3.82/0.93  #    Propositional check unsatisfiable : 0
% 3.82/0.93  #    Propositional clauses             : 0
% 3.82/0.93  #    Propositional clauses after purity: 0
% 3.82/0.93  #    Propositional unsat core size     : 0
% 3.82/0.93  #    Propositional preprocessing time  : 0.000
% 3.82/0.93  #    Propositional encoding time       : 0.000
% 3.82/0.93  #    Propositional solver time         : 0.000
% 3.82/0.93  #    Success case prop preproc time    : 0.000
% 3.82/0.93  #    Success case prop encoding time   : 0.000
% 3.82/0.93  #    Success case prop solver time     : 0.000
% 3.82/0.93  # Current number of processed clauses  : 77
% 3.82/0.93  #    Positive orientable unit clauses  : 32
% 3.82/0.93  #    Positive unorientable unit clauses: 0
% 3.82/0.93  #    Negative unit clauses             : 1
% 3.82/0.93  #    Non-unit-clauses                  : 44
% 3.82/0.93  # Current number of unprocessed clauses: 154
% 3.82/0.93  # ...number of literals in the above   : 718
% 3.82/0.93  # Current number of archived formulas  : 0
% 3.82/0.93  # Current number of archived clauses   : 2209
% 3.82/0.93  # Clause-clause subsumption calls (NU) : 137774
% 3.82/0.93  # Rec. Clause-clause subsumption calls : 26416
% 3.82/0.93  # Non-unit clause-clause subsumptions  : 4166
% 3.82/0.93  # Unit Clause-clause subsumption calls : 519
% 3.82/0.93  # Rewrite failures with RHS unbound    : 0
% 3.82/0.93  # BW rewrite match attempts            : 24
% 3.82/0.93  # BW rewrite match successes           : 24
% 3.82/0.93  # Condensation attempts                : 4583
% 3.82/0.93  # Condensation successes               : 1
% 3.82/0.93  # Termbank termtop insertions          : 415919
% 3.82/0.93  # Search garbage collected termcells   : 1082
% 3.82/0.93  
% 3.82/0.93  # -------------------------------------------------
% 3.82/0.93  # User time                : 0.432 s
% 3.82/0.93  # System time              : 0.006 s
% 3.82/0.93  # Total time               : 0.438 s
% 3.82/0.93  # Maximum resident set size: 2448 pages
% 3.82/0.93  
% 3.82/0.93  # -------------------------------------------------
% 3.82/0.93  # User time                : 2.118 s
% 3.82/0.93  # System time              : 0.042 s
% 3.82/0.93  # Total time               : 2.161 s
% 3.82/0.93  # Maximum resident set size: 1928 pages
% 3.82/0.93  % E---3.1 exiting
% 3.82/0.93  % E exiting
%------------------------------------------------------------------------------