TSTP Solution File: LCL859^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : LCL859^1 : TPTP v8.2.0. Bugfixed v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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 23:53:48 EDT 2024

% Result   : Theorem 0.17s 0.44s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  110 (  17 unt;  14 typ;   0 def)
%            Number of atoms       :  445 (   6 equ;   0 cnn)
%            Maximal formula atoms :  114 (   4 avg)
%            Number of connectives : 1490 ( 228   ~; 317   |;  33   &; 903   @)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   42 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   27 (  27   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;  11 con; 0-2 aty)
%            Number of variables   :  124 (   6   ^ 118   !;   0   ?; 124   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_39,type,
    mreflexive: ( $i > $i > $o ) > $o ).

thf(decl_40,type,
    msymmetric: ( $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(mreflexive,axiom,
    ( mreflexive
    = ( ^ [X13: $i > $i > $o] :
        ! [X15: $i] : ( X13 @ X15 @ X15 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mreflexive) ).

thf(msymmetric,axiom,
    ( msymmetric
    = ( ^ [X13: $i > $i > $o] :
        ! [X15: $i,X16: $i] :
          ( ( X13 @ X15 @ X16 )
         => ( X13 @ X16 @ X15 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',msymmetric) ).

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/sandbox2/benchmark/Axioms/LCL013^0.ax',meuclidean) ).

thf(conj,conjecture,
    ! [X13: $i > $i > $o] :
      ( ( ( mreflexive @ X13 )
        & ( meuclidean @ X13 ) )
    <=> ( ( mreflexive @ X13 )
        & ( msymmetric @ X13 )
        & ( meuclidean @ X13 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

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

thf(c_0_5,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_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] : ( X13 @ X22 @ X22 )
          & ! [X23: $i,X24: $i,X25: $i] :
              ( ( ( X13 @ X23 @ X24 )
                & ( X13 @ X23 @ X25 ) )
             => ( X13 @ X24 @ X25 ) ) )
      <=> ( ! [X26: $i] : ( X13 @ X26 @ X26 )
          & ! [X27: $i,X28: $i] :
              ( ( X13 @ X27 @ X28 )
             => ( X13 @ X28 @ X27 ) )
          & ! [X29: $i,X30: $i,X31: $i] :
              ( ( ( X13 @ X29 @ X30 )
                & ( X13 @ X29 @ X31 ) )
             => ( X13 @ X30 @ X31 ) ) ) ),
    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,
    ! [X43: $i,X44: $i,X45: $i,X46: $i,X47: $i,X48: $i,X49: $i,X50: $i,X51: $i,X52: $i] :
      ( ( ( epred1_0 @ esk8_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ( epred1_0 @ esk2_0 @ esk3_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk8_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ( epred1_0 @ esk2_0 @ esk3_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ( epred1_0 @ esk2_0 @ esk3_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk8_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ( epred1_0 @ esk2_0 @ esk3_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk8_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ( epred1_0 @ esk2_0 @ esk3_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ( epred1_0 @ esk2_0 @ esk3_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk8_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ( epred1_0 @ esk2_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk8_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ( epred1_0 @ esk2_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ( epred1_0 @ esk2_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk8_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ( epred1_0 @ esk2_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk8_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ( epred1_0 @ esk2_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ( epred1_0 @ esk2_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk8_0 @ esk9_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk8_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk9_0 @ esk10_0 )
        | ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk8_0 @ esk9_0 )
        | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ( epred1_0 @ esk8_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ~ ( epred1_0 @ esk9_0 @ esk10_0 )
        | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
      & ( ( epred1_0 @ X47 @ X47 )
        | ( epred1_0 @ X43 @ X43 ) )
      & ( ~ ( epred1_0 @ X48 @ X49 )
        | ( epred1_0 @ X49 @ X48 )
        | ( epred1_0 @ X43 @ X43 ) )
      & ( ~ ( epred1_0 @ X50 @ X51 )
        | ~ ( epred1_0 @ X50 @ X52 )
        | ( epred1_0 @ X51 @ X52 )
        | ( epred1_0 @ X43 @ X43 ) )
      & ( ( epred1_0 @ X47 @ X47 )
        | ~ ( epred1_0 @ X44 @ X45 )
        | ~ ( epred1_0 @ X44 @ X46 )
        | ( epred1_0 @ X45 @ X46 ) )
      & ( ~ ( epred1_0 @ X48 @ X49 )
        | ( epred1_0 @ X49 @ X48 )
        | ~ ( epred1_0 @ X44 @ X45 )
        | ~ ( epred1_0 @ X44 @ X46 )
        | ( epred1_0 @ X45 @ X46 ) )
      & ( ~ ( epred1_0 @ X50 @ X51 )
        | ~ ( epred1_0 @ X50 @ X52 )
        | ( epred1_0 @ X51 @ X52 )
        | ~ ( epred1_0 @ X44 @ X45 )
        | ~ ( epred1_0 @ X44 @ X46 )
        | ( epred1_0 @ X45 @ X46 ) ) ),
    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,
    ! [X3: $i,X14: $i] :
      ( ( epred1_0 @ X3 @ X3 )
      | ( epred1_0 @ X14 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_10,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk2_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_11,negated_conjecture,
    ! [X3: $i] : ( epred1_0 @ X3 @ X3 ),
    inference(condense,[status(thm)],[c_0_9]) ).

thf(c_0_12,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_13,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk2_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11])]) ).

thf(c_0_14,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk9_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk2_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_15,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk2_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk9_0 @ esk10_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_16,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_17,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk2_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ esk10_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk8_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

thf(c_0_18,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk9_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk2_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_11]),c_0_11])]) ).

thf(c_0_19,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk2_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_11]),c_0_11])]) ).

thf(c_0_20,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ esk3_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk8_0 @ esk10_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_11]),c_0_11])]) ).

thf(c_0_21,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk9_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_22,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk9_0 @ esk10_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_23,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk2_0 @ esk4_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_17,c_0_18]),c_0_19]) ).

thf(c_0_24,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk10_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk8_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_20]) ).

thf(c_0_25,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ esk3_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk8_0 @ esk9_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_11]),c_0_11])]) ).

thf(c_0_26,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_11]),c_0_11])]) ).

thf(c_0_27,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_28,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk2_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ esk10_0 )
      | ~ ( epred1_0 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_23,c_0_13]) ).

thf(c_0_29,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

thf(c_0_30,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_11]),c_0_11])]) ).

thf(c_0_31,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk9_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_32,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk9_0 @ esk10_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_33,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ esk4_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_18]),c_0_19]) ).

thf(c_0_34,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk10_0 )
      | ~ ( epred1_0 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_29,c_0_20]) ).

thf(c_0_35,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk10_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
      | ~ ( epred1_0 @ esk8_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_30]) ).

thf(c_0_36,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk9_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_11]),c_0_11])]) ).

thf(c_0_37,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_11]),c_0_11])]) ).

thf(c_0_38,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk4_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk2_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_33]) ).

thf(c_0_39,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk2_0 @ esk3_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_25]),c_0_26]) ).

thf(c_0_40,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).

thf(c_0_41,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk10_0 )
    | ( epred1_0 @ esk2_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_42,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( 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_38,c_0_39]),c_0_40]) ).

thf(c_0_43,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk10_0 )
    | ( epred1_0 @ esk2_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_11]),c_0_11])]) ).

thf(c_0_44,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk9_0 )
    | ( epred1_0 @ esk2_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_45,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk9_0 @ esk10_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_46,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk10_0 )
    | ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_47,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk4_0 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_42,c_0_33]) ).

thf(c_0_48,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk2_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ esk10_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
      | ~ ( epred1_0 @ esk8_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_43]) ).

thf(c_0_49,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk9_0 )
    | ( epred1_0 @ esk2_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_11]),c_0_11])]) ).

thf(c_0_50,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_11]),c_0_11])]) ).

thf(c_0_51,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk10_0 )
    | ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_11]),c_0_11])]) ).

thf(c_0_52,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk9_0 )
    | ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_53,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk9_0 @ esk10_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_54,negated_conjecture,
    ( ( epred1_0 @ esk3_0 @ esk4_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_47,c_0_39]) ).

thf(c_0_55,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk2_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).

thf(c_0_56,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( epred1_0 @ X3 @ esk10_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
      | ~ ( epred1_0 @ esk8_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_51]) ).

thf(c_0_57,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk9_0 )
    | ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_11]),c_0_11])]) ).

thf(c_0_58,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_11]),c_0_11])]) ).

thf(c_0_59,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk10_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_60,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk9_0 )
      | ~ ( epred1_0 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_36]),c_0_54]) ).

thf(c_0_61,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk2_0 @ esk4_0 )
      | ( epred1_0 @ X3 @ esk10_0 )
      | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
      | ~ ( epred1_0 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_55,c_0_43]) ).

thf(c_0_62,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).

thf(c_0_63,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk10_0 )
    | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_11]),c_0_11])]) ).

thf(c_0_64,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_65,negated_conjecture,
    ( ~ ( epred1_0 @ esk9_0 @ esk10_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_66,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk10_0 )
      | ~ ( epred1_0 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_30]),c_0_54]) ).

thf(c_0_67,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk9_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_60,c_0_11]) ).

thf(c_0_68,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_49]),c_0_50]) ).

thf(c_0_69,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( epred1_0 @ X3 @ esk10_0 )
      | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
      | ~ ( epred1_0 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_62,c_0_51]) ).

thf(c_0_70,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ X3 @ esk10_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
      | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
      | ~ ( epred1_0 @ esk8_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_63]) ).

thf(c_0_71,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_11]),c_0_11])]) ).

thf(c_0_72,negated_conjecture,
    ( ~ ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
    | ~ ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_11]),c_0_11])]) ).

thf(c_0_73,negated_conjecture,
    ! [X14: $i,X16: $i,X3: $i,X15: $i,X17: $i] :
      ( ( epred1_0 @ X14 @ X3 )
      | ( epred1_0 @ X16 @ X17 )
      | ~ ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X16 )
      | ~ ( epred1_0 @ X15 @ X17 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_74,negated_conjecture,
    ( ( epred1_0 @ esk9_0 @ esk10_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

thf(c_0_75,negated_conjecture,
    ! [X16: $i,X3: $i,X15: $i,X14: $i] :
      ( ( epred1_0 @ X3 @ esk4_0 )
      | ( epred1_0 @ X14 @ X15 )
      | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
      | ~ ( epred1_0 @ esk2_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred1_0 @ X16 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_68]) ).

thf(c_0_76,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk7_0 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_57]),c_0_58]) ).

thf(c_0_77,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ esk3_0 @ esk4_0 )
      | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).

thf(c_0_78,negated_conjecture,
    ! [X14: $i,X3: $i] :
      ( ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X14 @ X3 ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_11])]) ).

thf(c_0_79,negated_conjecture,
    epred1_0 @ esk6_0 @ esk7_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_74]),c_0_54]) ).

thf(c_0_80,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ esk7_0 @ esk6_0 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).

thf(c_0_81,negated_conjecture,
    epred1_0 @ esk7_0 @ esk6_0,
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

thf(c_0_82,negated_conjecture,
    ! [X14: $i,X15: $i,X3: $i] :
      ( ( epred1_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X15 @ X14 )
      | ~ ( epred1_0 @ X15 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81])]) ).

thf(c_0_83,negated_conjecture,
    epred1_0 @ esk2_0 @ esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_81])]) ).

thf(c_0_84,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ X3 @ esk4_0 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

thf(c_0_85,negated_conjecture,
    epred1_0 @ esk2_0 @ esk3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_81])]) ).

thf(c_0_86,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk9_0 )
    | ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_81])]) ).

thf(c_0_87,negated_conjecture,
    epred1_0 @ esk3_0 @ esk4_0,
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

thf(c_0_88,negated_conjecture,
    epred1_0 @ esk8_0 @ esk9_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87])]) ).

thf(c_0_89,negated_conjecture,
    ( ( epred1_0 @ esk8_0 @ esk10_0 )
    | ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_81])]) ).

thf(c_0_90,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ X3 @ esk9_0 )
      | ~ ( epred1_0 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_82,c_0_88]) ).

thf(c_0_91,negated_conjecture,
    epred1_0 @ esk8_0 @ esk10_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_87])]) ).

thf(c_0_92,negated_conjecture,
    ( ~ ( epred1_0 @ esk3_0 @ esk4_0 )
    | ~ ( epred1_0 @ esk9_0 @ esk10_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_81])]) ).

thf(c_0_93,negated_conjecture,
    epred1_0 @ esk10_0 @ esk9_0,
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

thf(c_0_94,negated_conjecture,
    ~ ( epred1_0 @ esk9_0 @ esk10_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_87])]) ).

thf(c_0_95,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_93]),c_0_94]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : LCL859^1 : TPTP v8.2.0. Bugfixed v5.0.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n007.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32  % CPULimit   : 300
% 0.16/0.32  % WCLimit    : 300
% 0.16/0.32  % DateTime   : Mon May 20 01:09:53 EDT 2024
% 0.16/0.32  % CPUTime    : 
% 0.17/0.41  Running higher-order theorem proving
% 0.17/0.41  Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44  # Version: 3.1.0-ho
% 0.17/0.44  # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.17/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.17/0.44  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.17/0.44  # Starting almost_fo_3_lam with 300s (1) cores
% 0.17/0.44  # Starting post_as_ho1 with 300s (1) cores
% 0.17/0.44  # ho_unfolding_3 with pid 20466 completed with status 0
% 0.17/0.44  # Result found by ho_unfolding_3
% 0.17/0.44  # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.17/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.17/0.44  # No SInE strategy applied
% 0.17/0.44  # Search class: HGHNF-FFMF00-SHSSMFNN
% 0.17/0.44  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.44  # Starting new_ho_10 with 811s (1) cores
% 0.17/0.44  # Starting ho_unfolding_3 with 151s (1) cores
% 0.17/0.44  # Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.17/0.44  # Starting lpo1_def_fix with 136s (1) cores
% 0.17/0.44  # Starting ehoh_best8_lambda with 136s (1) cores
% 0.17/0.44  # new_ho_10 with pid 20470 completed with status 0
% 0.17/0.44  # Result found by new_ho_10
% 0.17/0.44  # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.17/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.17/0.44  # No SInE strategy applied
% 0.17/0.44  # Search class: HGHNF-FFMF00-SHSSMFNN
% 0.17/0.44  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.44  # Starting new_ho_10 with 811s (1) cores
% 0.17/0.44  # Preprocessing time       : 0.003 s
% 0.17/0.44  # Presaturation interreduction done
% 0.17/0.44  
% 0.17/0.44  # Proof found!
% 0.17/0.44  # SZS status Theorem
% 0.17/0.44  # SZS output start CNFRefutation
% See solution above
% 0.17/0.44  # Parsed axioms                        : 64
% 0.17/0.44  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.44  # Initial clauses                      : 56
% 0.17/0.44  # Removed in clause preprocessing      : 32
% 0.17/0.44  # Initial clauses in saturation        : 24
% 0.17/0.44  # Processed clauses                    : 290
% 0.17/0.44  # ...of these trivial                  : 8
% 0.17/0.44  # ...subsumed                          : 106
% 0.17/0.44  # ...remaining for further processing  : 176
% 0.17/0.44  # Other redundant clauses eliminated   : 0
% 0.17/0.44  # Clauses deleted for lack of memory   : 0
% 0.17/0.44  # Backward-subsumed                    : 76
% 0.17/0.44  # Backward-rewritten                   : 51
% 0.17/0.44  # Generated clauses                    : 787
% 0.17/0.44  # ...of the previous two non-redundant : 563
% 0.17/0.44  # ...aggressively subsumed             : 0
% 0.17/0.44  # Contextual simplify-reflections      : 16
% 0.17/0.44  # Paramodulations                      : 787
% 0.17/0.44  # Factorizations                       : 0
% 0.17/0.44  # NegExts                              : 0
% 0.17/0.44  # Equation resolutions                 : 0
% 0.17/0.44  # Disequality decompositions           : 0
% 0.17/0.44  # Total rewrite steps                  : 336
% 0.17/0.44  # ...of those cached                   : 311
% 0.17/0.44  # Propositional unsat checks           : 0
% 0.17/0.44  #    Propositional check models        : 0
% 0.17/0.44  #    Propositional check unsatisfiable : 0
% 0.17/0.44  #    Propositional clauses             : 0
% 0.17/0.44  #    Propositional clauses after purity: 0
% 0.17/0.44  #    Propositional unsat core size     : 0
% 0.17/0.44  #    Propositional preprocessing time  : 0.000
% 0.17/0.44  #    Propositional encoding time       : 0.000
% 0.17/0.44  #    Propositional solver time         : 0.000
% 0.17/0.44  #    Success case prop preproc time    : 0.000
% 0.17/0.44  #    Success case prop encoding time   : 0.000
% 0.17/0.44  #    Success case prop solver time     : 0.000
% 0.17/0.44  # Current number of processed clauses  : 28
% 0.17/0.44  #    Positive orientable unit clauses  : 14
% 0.17/0.44  #    Positive unorientable unit clauses: 0
% 0.17/0.44  #    Negative unit clauses             : 1
% 0.17/0.44  #    Non-unit-clauses                  : 13
% 0.17/0.44  # Current number of unprocessed clauses: 2
% 0.17/0.44  # ...number of literals in the above   : 4
% 0.17/0.44  # Current number of archived formulas  : 0
% 0.17/0.44  # Current number of archived clauses   : 148
% 0.17/0.44  # Clause-clause subsumption calls (NU) : 2483
% 0.17/0.44  # Rec. Clause-clause subsumption calls : 1319
% 0.17/0.44  # Non-unit clause-clause subsumptions  : 199
% 0.17/0.44  # Unit Clause-clause subsumption calls : 12
% 0.17/0.44  # Rewrite failures with RHS unbound    : 0
% 0.17/0.44  # BW rewrite match attempts            : 13
% 0.17/0.44  # BW rewrite match successes           : 5
% 0.17/0.44  # Condensation attempts                : 290
% 0.17/0.44  # Condensation successes               : 2
% 0.17/0.44  # Termbank termtop insertions          : 22804
% 0.17/0.44  # Search garbage collected termcells   : 750
% 0.17/0.44  
% 0.17/0.44  # -------------------------------------------------
% 0.17/0.44  # User time                : 0.019 s
% 0.17/0.44  # System time              : 0.004 s
% 0.17/0.44  # Total time               : 0.023 s
% 0.17/0.44  # Maximum resident set size: 1988 pages
% 0.17/0.44  
% 0.17/0.44  # -------------------------------------------------
% 0.17/0.44  # User time                : 0.081 s
% 0.17/0.44  # System time              : 0.016 s
% 0.17/0.44  # Total time               : 0.098 s
% 0.17/0.44  # Maximum resident set size: 1792 pages
% 0.17/0.44  % E---3.1 exiting
% 0.17/0.44  % E exiting
%------------------------------------------------------------------------------