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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : ITP141^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:04:29 AM UTC 2026

% Result   : Theorem 186.67s 27.62s
% Output   : CNFRefutation 186.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   59
%            Number of leaves      :    3
% Syntax   : Number of formulae    :  262 (  14 unt;   0 typ;   0 def)
%            Number of atoms       : 1136 ( 158 equ;   0 cnn)
%            Maximal formula atoms :  139 (   4 avg)
%            Number of connectives : 4335 ( 410   ~; 782   |;  62   &;3063   @)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   47 (   9 avg)
%            Number of types       :    9 (   8 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  25 usr;  11 con; 0-4 aty)
%            Number of variables   :  346 (  12   ^; 334   !;   0   ?; 346   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    set_Pr795498619_state: $tType ).

thf(decl_sort2,type,
    state: $tType ).

thf(decl_sort3,type,
    produc696469763tate_o: $tType ).

thf(decl_sort4,type,
    set_Pr1590995257tate_o: $tType ).

thf(decl_sort5,type,
    produc1115495963_state: $tType ).

thf(decl_sort6,type,
    a: $tType ).

thf(decl_sort7,type,
    produc204914599tate_o: $tType ).

thf(decl_sort8,type,
    com: $tType ).

thf(decl_43,type,
    bot_bo170732493tate_o: set_Pr1590995257tate_o ).

thf(decl_51,type,
    pHoare382919414oare_a: set_Pr1590995257tate_o > ( a > state > $o ) > com > ( a > state > $o ) > $o ).

thf(decl_53,type,
    body: com ).

thf(decl_54,type,
    call: com ).

thf(decl_57,type,
    exec: state > com > state > $o ).

thf(decl_59,type,
    termi: com > state > $o ).

thf(decl_60,type,
    produc33908149tate_o: ( a > state > $o ) > produc204914599tate_o > produc696469763tate_o ).

thf(decl_62,type,
    produc1948644831tate_o: com > ( a > state > $o ) > produc204914599tate_o ).

thf(decl_63,type,
    produc64584659_state: state > state > produc1115495963_state ).

thf(decl_95,type,
    insert2053719859tate_o: produc696469763tate_o > set_Pr1590995257tate_o > set_Pr1590995257tate_o ).

thf(decl_124,type,
    member1389040324_state: produc1115495963_state > set_Pr795498619_state > $o ).

thf(decl_128,type,
    pa: a > state > $o ).

thf(decl_129,type,
    qa: a > state > $o ).

thf(decl_130,type,
    r: set_Pr795498619_state ).

thf(decl_131,type,
    x: state ).

thf(decl_132,type,
    esk1_1: state > state ).

thf(decl_133,type,
    esk2_1: state > state ).

thf(decl_134,type,
    esk3_1: state > a ).

thf(decl_135,type,
    esk4_1: state > a ).

thf(decl_136,type,
    esk5_1: state > state ).

thf(decl_137,type,
    esk6_0: state ).

thf(decl_138,type,
    esk7_0: state ).

thf(decl_139,type,
    esk8_0: a ).

thf(decl_140,type,
    esk9_0: a ).

thf(decl_141,type,
    esk10_0: state ).

thf(conj_0,hypothesis,
    ! [X807: state] :
      ( ( pHoare382919414oare_a
        @ ( insert2053719859tate_o
          @ ( produc33908149tate_o
            @ ^ [X31: a,X32: state] :
                ( ( pa @ X31 @ X32 )
                & ( member1389040324_state @ ( produc64584659_state @ X32 @ X807 ) @ r ) )
            @ ( produc1948644831tate_o @ call @ qa ) )
          @ bot_bo170732493tate_o )
        @ ^ [X31: a,X32: state] :
            ( ( pa @ X31 @ X32 )
            & ( X32 = X807 ) )
        @ body
        @ qa )
      & ( ( ! [X7: state,X9: state] :
              ( ( exec @ X7 @ body @ X9 )
             => ! [X6: a] :
                  ( ( ( pa @ X6 @ X7 )
                    & ( member1389040324_state @ ( produc64584659_state @ X7 @ X807 ) @ r ) )
                 => ( qa @ X6 @ X9 ) ) )
          & ! [X6: a,X7: state] :
              ( ( ( pa @ X6 @ X7 )
                & ( member1389040324_state @ ( produc64584659_state @ X7 @ X807 ) @ r ) )
             => ( termi @ body @ X7 ) ) )
       => ( ! [X808: state,X809: state] :
              ( ( exec @ X808 @ body @ X809 )
             => ! [X10: a] :
                  ( ( ( pa @ X10 @ X808 )
                    & ( X808 = X807 ) )
                 => ( qa @ X10 @ X809 ) ) )
          & ! [X10: a,X808: state] :
              ( ( ( pa @ X10 @ X808 )
                & ( X808 = X807 ) )
             => ( termi @ body @ X808 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.VAlJV4NR3j/E---3.1_3137976.p',conj_0) ).

thf(conj_2,conjecture,
    ( ! [X7: state,X9: state] :
        ( ~ ( exec @ X7 @ body @ X9 )
        | ! [X6: a] :
            ( ~ ( pa @ X6 @ X7 )
            | ( X7 != x )
            | ( qa @ X6 @ X9 ) ) )
    & ! [X6: a,X7: state] :
        ( ~ ( pa @ X6 @ X7 )
        | ( X7 != x )
        | ( termi @ body @ X7 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.VAlJV4NR3j/E---3.1_3137976.p',conj_2) ).

thf(conj_1,hypothesis,
    ! [X225: state] :
      ( ( member1389040324_state @ ( produc64584659_state @ X225 @ x ) @ r )
     => ( ! [X808: state,X809: state] :
            ( ( exec @ X808 @ body @ X809 )
           => ! [X10: a] :
                ( ( ( pa @ X10 @ X808 )
                  & ( X808 = X225 ) )
               => ( qa @ X10 @ X809 ) ) )
        & ! [X10: a,X808: state] :
            ( ( ( pa @ X10 @ X808 )
              & ( X808 = X225 ) )
           => ( termi @ body @ X808 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.VAlJV4NR3j/E---3.1_3137976.p',conj_1) ).

thf(c_0_3,hypothesis,
    ! [X807: state] :
      ( ( pHoare382919414oare_a
        @ ( insert2053719859tate_o
          @ ( produc33908149tate_o
            @ ^ [Z0: a,Z1: state] :
                ( ( pa @ Z0 @ Z1 )
                & ( member1389040324_state @ ( produc64584659_state @ Z1 @ X807 ) @ r ) )
            @ ( produc1948644831tate_o @ call @ qa ) )
          @ bot_bo170732493tate_o )
        @ ^ [Z0: a,Z1: state] :
            ( ( pa @ Z0 @ Z1 )
            & ( Z1 = X807 ) )
        @ body
        @ qa )
      & ( ( ! [X7: state,X9: state] :
              ( ( exec @ X7 @ body @ X9 )
             => ! [X6: a] :
                  ( ( ( pa @ X6 @ X7 )
                    & ( member1389040324_state @ ( produc64584659_state @ X7 @ X807 ) @ r ) )
                 => ( qa @ X6 @ X9 ) ) )
          & ! [X6: a,X7: state] :
              ( ( ( pa @ X6 @ X7 )
                & ( member1389040324_state @ ( produc64584659_state @ X7 @ X807 ) @ r ) )
             => ( termi @ body @ X7 ) ) )
       => ( ! [X808: state,X809: state] :
              ( ( exec @ X808 @ body @ X809 )
             => ! [X10: a] :
                  ( ( ( pa @ X10 @ X808 )
                    & ( X808 = X807 ) )
                 => ( qa @ X10 @ X809 ) ) )
          & ! [X10: a,X808: state] :
              ( ( ( pa @ X10 @ X808 )
                & ( X808 = X807 ) )
             => ( termi @ body @ X808 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[conj_0]) ).

thf(c_0_4,negated_conjecture,
    ~ ( ! [X7: state,X9: state] :
          ( ~ ( exec @ X7 @ body @ X9 )
          | ! [X6: a] :
              ( ~ ( pa @ X6 @ X7 )
              | ( X7 != x )
              | ( qa @ X6 @ X9 ) ) )
      & ! [X6: a,X7: state] :
          ( ~ ( pa @ X6 @ X7 )
          | ( X7 != x )
          | ( termi @ body @ X7 ) ) ),
    inference(assume_negation,[status(cth)],[conj_2]) ).

thf(c_0_5,hypothesis,
    ! [X1139: state,X1140: state,X1146: state,X1147: state,X1148: a,X1149: a,X1150: state] :
      ( ( pHoare382919414oare_a
        @ ( insert2053719859tate_o
          @ ( produc33908149tate_o
            @ ^ [Z0: a,Z1: state] :
                ( ( pa @ Z0 @ Z1 )
                & ( member1389040324_state @ ( produc64584659_state @ Z1 @ X1139 ) @ r ) )
            @ ( produc1948644831tate_o @ call @ qa ) )
          @ bot_bo170732493tate_o )
        @ ^ [Z0: a,Z1: state] :
            ( ( pa @ Z0 @ Z1 )
            & ( Z1 = X1139 ) )
        @ body
        @ qa )
      & ( ~ ( exec @ X1146 @ body @ X1147 )
        | ~ ( pa @ X1148 @ X1146 )
        | ( X1146 != X1140 )
        | ( qa @ X1148 @ X1147 )
        | ( pa @ ( esk4_1 @ X1140 ) @ ( esk5_1 @ X1140 ) )
        | ( exec @ ( esk1_1 @ X1140 ) @ body @ ( esk2_1 @ X1140 ) ) )
      & ( ~ ( pa @ X1149 @ X1150 )
        | ( X1150 != X1140 )
        | ( termi @ body @ X1150 )
        | ( pa @ ( esk4_1 @ X1140 ) @ ( esk5_1 @ X1140 ) )
        | ( exec @ ( esk1_1 @ X1140 ) @ body @ ( esk2_1 @ X1140 ) ) )
      & ( ~ ( exec @ X1146 @ body @ X1147 )
        | ~ ( pa @ X1148 @ X1146 )
        | ( X1146 != X1140 )
        | ( qa @ X1148 @ X1147 )
        | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X1140 ) @ X1140 ) @ r )
        | ( exec @ ( esk1_1 @ X1140 ) @ body @ ( esk2_1 @ X1140 ) ) )
      & ( ~ ( pa @ X1149 @ X1150 )
        | ( X1150 != X1140 )
        | ( termi @ body @ X1150 )
        | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X1140 ) @ X1140 ) @ r )
        | ( exec @ ( esk1_1 @ X1140 ) @ body @ ( esk2_1 @ X1140 ) ) )
      & ( ~ ( exec @ X1146 @ body @ X1147 )
        | ~ ( pa @ X1148 @ X1146 )
        | ( X1146 != X1140 )
        | ( qa @ X1148 @ X1147 )
        | ~ ( termi @ body @ ( esk5_1 @ X1140 ) )
        | ( exec @ ( esk1_1 @ X1140 ) @ body @ ( esk2_1 @ X1140 ) ) )
      & ( ~ ( pa @ X1149 @ X1150 )
        | ( X1150 != X1140 )
        | ( termi @ body @ X1150 )
        | ~ ( termi @ body @ ( esk5_1 @ X1140 ) )
        | ( exec @ ( esk1_1 @ X1140 ) @ body @ ( esk2_1 @ X1140 ) ) )
      & ( ~ ( exec @ X1146 @ body @ X1147 )
        | ~ ( pa @ X1148 @ X1146 )
        | ( X1146 != X1140 )
        | ( qa @ X1148 @ X1147 )
        | ( pa @ ( esk4_1 @ X1140 ) @ ( esk5_1 @ X1140 ) )
        | ( pa @ ( esk3_1 @ X1140 ) @ ( esk1_1 @ X1140 ) ) )
      & ( ~ ( pa @ X1149 @ X1150 )
        | ( X1150 != X1140 )
        | ( termi @ body @ X1150 )
        | ( pa @ ( esk4_1 @ X1140 ) @ ( esk5_1 @ X1140 ) )
        | ( pa @ ( esk3_1 @ X1140 ) @ ( esk1_1 @ X1140 ) ) )
      & ( ~ ( exec @ X1146 @ body @ X1147 )
        | ~ ( pa @ X1148 @ X1146 )
        | ( X1146 != X1140 )
        | ( qa @ X1148 @ X1147 )
        | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X1140 ) @ X1140 ) @ r )
        | ( pa @ ( esk3_1 @ X1140 ) @ ( esk1_1 @ X1140 ) ) )
      & ( ~ ( pa @ X1149 @ X1150 )
        | ( X1150 != X1140 )
        | ( termi @ body @ X1150 )
        | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X1140 ) @ X1140 ) @ r )
        | ( pa @ ( esk3_1 @ X1140 ) @ ( esk1_1 @ X1140 ) ) )
      & ( ~ ( exec @ X1146 @ body @ X1147 )
        | ~ ( pa @ X1148 @ X1146 )
        | ( X1146 != X1140 )
        | ( qa @ X1148 @ X1147 )
        | ~ ( termi @ body @ ( esk5_1 @ X1140 ) )
        | ( pa @ ( esk3_1 @ X1140 ) @ ( esk1_1 @ X1140 ) ) )
      & ( ~ ( pa @ X1149 @ X1150 )
        | ( X1150 != X1140 )
        | ( termi @ body @ X1150 )
        | ~ ( termi @ body @ ( esk5_1 @ X1140 ) )
        | ( pa @ ( esk3_1 @ X1140 ) @ ( esk1_1 @ X1140 ) ) )
      & ( ~ ( exec @ X1146 @ body @ X1147 )
        | ~ ( pa @ X1148 @ X1146 )
        | ( X1146 != X1140 )
        | ( qa @ X1148 @ X1147 )
        | ( pa @ ( esk4_1 @ X1140 ) @ ( esk5_1 @ X1140 ) )
        | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X1140 ) @ X1140 ) @ r ) )
      & ( ~ ( pa @ X1149 @ X1150 )
        | ( X1150 != X1140 )
        | ( termi @ body @ X1150 )
        | ( pa @ ( esk4_1 @ X1140 ) @ ( esk5_1 @ X1140 ) )
        | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X1140 ) @ X1140 ) @ r ) )
      & ( ~ ( exec @ X1146 @ body @ X1147 )
        | ~ ( pa @ X1148 @ X1146 )
        | ( X1146 != X1140 )
        | ( qa @ X1148 @ X1147 )
        | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X1140 ) @ X1140 ) @ r )
        | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X1140 ) @ X1140 ) @ r ) )
      & ( ~ ( pa @ X1149 @ X1150 )
        | ( X1150 != X1140 )
        | ( termi @ body @ X1150 )
        | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X1140 ) @ X1140 ) @ r )
        | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X1140 ) @ X1140 ) @ r ) )
      & ( ~ ( exec @ X1146 @ body @ X1147 )
        | ~ ( pa @ X1148 @ X1146 )
        | ( X1146 != X1140 )
        | ( qa @ X1148 @ X1147 )
        | ~ ( termi @ body @ ( esk5_1 @ X1140 ) )
        | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X1140 ) @ X1140 ) @ r ) )
      & ( ~ ( pa @ X1149 @ X1150 )
        | ( X1150 != X1140 )
        | ( termi @ body @ X1150 )
        | ~ ( termi @ body @ ( esk5_1 @ X1140 ) )
        | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X1140 ) @ X1140 ) @ r ) )
      & ( ~ ( exec @ X1146 @ body @ X1147 )
        | ~ ( pa @ X1148 @ X1146 )
        | ( X1146 != X1140 )
        | ( qa @ X1148 @ X1147 )
        | ( pa @ ( esk4_1 @ X1140 ) @ ( esk5_1 @ X1140 ) )
        | ~ ( qa @ ( esk3_1 @ X1140 ) @ ( esk2_1 @ X1140 ) ) )
      & ( ~ ( pa @ X1149 @ X1150 )
        | ( X1150 != X1140 )
        | ( termi @ body @ X1150 )
        | ( pa @ ( esk4_1 @ X1140 ) @ ( esk5_1 @ X1140 ) )
        | ~ ( qa @ ( esk3_1 @ X1140 ) @ ( esk2_1 @ X1140 ) ) )
      & ( ~ ( exec @ X1146 @ body @ X1147 )
        | ~ ( pa @ X1148 @ X1146 )
        | ( X1146 != X1140 )
        | ( qa @ X1148 @ X1147 )
        | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X1140 ) @ X1140 ) @ r )
        | ~ ( qa @ ( esk3_1 @ X1140 ) @ ( esk2_1 @ X1140 ) ) )
      & ( ~ ( pa @ X1149 @ X1150 )
        | ( X1150 != X1140 )
        | ( termi @ body @ X1150 )
        | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X1140 ) @ X1140 ) @ r )
        | ~ ( qa @ ( esk3_1 @ X1140 ) @ ( esk2_1 @ X1140 ) ) )
      & ( ~ ( exec @ X1146 @ body @ X1147 )
        | ~ ( pa @ X1148 @ X1146 )
        | ( X1146 != X1140 )
        | ( qa @ X1148 @ X1147 )
        | ~ ( termi @ body @ ( esk5_1 @ X1140 ) )
        | ~ ( qa @ ( esk3_1 @ X1140 ) @ ( esk2_1 @ X1140 ) ) )
      & ( ~ ( pa @ X1149 @ X1150 )
        | ( X1150 != X1140 )
        | ( termi @ body @ X1150 )
        | ~ ( termi @ body @ ( esk5_1 @ X1140 ) )
        | ~ ( qa @ ( esk3_1 @ X1140 ) @ ( esk2_1 @ X1140 ) ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])]) ).

thf(c_0_6,negated_conjecture,
    ~ ( ! [X7: state,X9: state] :
          ( ~ ( exec @ X7 @ body @ X9 )
          | ! [X6: a] :
              ( ~ ( pa @ X6 @ X7 )
              | ( X7 != x )
              | ( qa @ X6 @ X9 ) ) )
      & ! [X6: a,X7: state] :
          ( ~ ( pa @ X6 @ X7 )
          | ( X7 != x )
          | ( termi @ body @ X7 ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

thf(c_0_7,hypothesis,
    ! [X1151: state,X1152: state,X1153: state,X1154: a,X1155: a,X1156: state] :
      ( ( ~ ( exec @ X1152 @ body @ X1153 )
        | ~ ( pa @ X1154 @ X1152 )
        | ( X1152 != X1151 )
        | ( qa @ X1154 @ X1153 )
        | ~ ( member1389040324_state @ ( produc64584659_state @ X1151 @ x ) @ r ) )
      & ( ~ ( pa @ X1155 @ X1156 )
        | ( X1156 != X1151 )
        | ( termi @ body @ X1156 )
        | ~ ( member1389040324_state @ ( produc64584659_state @ X1151 @ x ) @ r ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_1])])])])]) ).

thf(c_0_8,hypothesis,
    ! [X6: a,X7: state,X9: state,X27: state] :
      ( ( qa @ X6 @ X9 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X27 ) @ X27 ) @ r )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X27 ) @ X27 ) @ r )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X27 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_9,negated_conjecture,
    ( ( ( pa @ esk9_0 @ esk10_0 )
      | ( exec @ esk6_0 @ body @ esk7_0 ) )
    & ( ( esk10_0 = x )
      | ( exec @ esk6_0 @ body @ esk7_0 ) )
    & ( ~ ( termi @ body @ esk10_0 )
      | ( exec @ esk6_0 @ body @ esk7_0 ) )
    & ( ( pa @ esk9_0 @ esk10_0 )
      | ( pa @ esk8_0 @ esk6_0 ) )
    & ( ( esk10_0 = x )
      | ( pa @ esk8_0 @ esk6_0 ) )
    & ( ~ ( termi @ body @ esk10_0 )
      | ( pa @ esk8_0 @ esk6_0 ) )
    & ( ( pa @ esk9_0 @ esk10_0 )
      | ( esk6_0 = x ) )
    & ( ( esk10_0 = x )
      | ( esk6_0 = x ) )
    & ( ~ ( termi @ body @ esk10_0 )
      | ( esk6_0 = x ) )
    & ( ( pa @ esk9_0 @ esk10_0 )
      | ~ ( qa @ esk8_0 @ esk7_0 ) )
    & ( ( esk10_0 = x )
      | ~ ( qa @ esk8_0 @ esk7_0 ) )
    & ( ~ ( termi @ body @ esk10_0 )
      | ~ ( qa @ esk8_0 @ esk7_0 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).

thf(c_0_10,hypothesis,
    ! [X6: a,X7: state,X9: state,X27: state] :
      ( ( qa @ X6 @ X9 )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X27 )
      | ~ ( member1389040324_state @ ( produc64584659_state @ X27 @ x ) @ r ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_11,hypothesis,
    ! [X6: a,X9: state,X7: state] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X7 ) @ X7 ) @ r )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X7 ) @ X7 ) @ r )
      | ( qa @ X6 @ X9 )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_8]) ).

thf(c_0_12,negated_conjecture,
    ( ( esk10_0 = x )
    | ( exec @ esk6_0 @ body @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_13,hypothesis,
    ! [X6: a,X7: state,X9: state,X27: state] :
      ( ( qa @ X6 @ X9 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X27 ) @ X27 ) @ r )
      | ( exec @ ( esk1_1 @ X27 ) @ body @ ( esk2_1 @ X27 ) )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X27 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_14,hypothesis,
    ! [X6: a,X7: state,X9: state,X27: state] :
      ( ( qa @ X6 @ X9 )
      | ( pa @ ( esk4_1 @ X27 ) @ ( esk5_1 @ X27 ) )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X27 ) @ X27 ) @ r )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X27 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_15,hypothesis,
    ! [X6: a,X7: state,X9: state] :
      ( ( qa @ X6 @ X7 )
      | ~ ( member1389040324_state @ ( produc64584659_state @ X9 @ x ) @ r )
      | ~ ( exec @ X9 @ body @ X7 )
      | ~ ( pa @ X6 @ X9 ) ),
    inference(er,[status(thm)],[c_0_10]) ).

thf(c_0_16,negated_conjecture,
    ( ( esk10_0 = x )
    | ( esk6_0 = x ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_17,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

thf(c_0_18,negated_conjecture,
    ( ( esk10_0 = x )
    | ( pa @ esk8_0 @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_19,negated_conjecture,
    ( ( esk10_0 = x )
    | ~ ( qa @ esk8_0 @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_20,hypothesis,
    ! [X6: a,X9: state,X7: state] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X7 ) @ X7 ) @ r )
      | ( exec @ ( esk1_1 @ X7 ) @ body @ ( esk2_1 @ X7 ) )
      | ( qa @ X6 @ X9 )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_13]) ).

thf(c_0_21,hypothesis,
    ! [X6: a,X7: state,X9: state,X27: state] :
      ( ( qa @ X6 @ X9 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X27 ) @ X27 ) @ r )
      | ( pa @ ( esk3_1 @ X27 ) @ ( esk1_1 @ X27 ) )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X27 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_22,hypothesis,
    ! [X6: a,X9: state,X7: state] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X7 ) @ X7 ) @ r )
      | ( pa @ ( esk4_1 @ X7 ) @ ( esk5_1 @ X7 ) )
      | ( qa @ X6 @ X9 )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_14]) ).

thf(c_0_23,hypothesis,
    ! [X6: a,X7: state,X9: state,X27: state] :
      ( ( qa @ X6 @ X9 )
      | ( pa @ ( esk4_1 @ X27 ) @ ( esk5_1 @ X27 ) )
      | ( exec @ ( esk1_1 @ X27 ) @ body @ ( esk2_1 @ X27 ) )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X27 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_24,negated_conjecture,
    ! [X6: a,X7: state,X9: state] :
      ( ( x = esk10_0 )
      | ( qa @ X6 @ X7 )
      | ~ ( member1389040324_state @ ( produc64584659_state @ X9 @ esk6_0 ) @ r )
      | ~ ( exec @ X9 @ body @ X7 )
      | ~ ( pa @ X6 @ X9 ) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

thf(c_0_25,negated_conjecture,
    ( ( x = esk10_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk6_0 ) @ esk6_0 ) @ r ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

thf(c_0_26,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( exec @ ( esk1_1 @ esk6_0 ) @ body @ ( esk2_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_12]) ).

thf(c_0_27,hypothesis,
    ! [X6: a,X9: state,X7: state] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X7 ) @ X7 ) @ r )
      | ( pa @ ( esk3_1 @ X7 ) @ ( esk1_1 @ X7 ) )
      | ( qa @ X6 @ X9 )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_21]) ).

thf(c_0_28,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_22,c_0_12]) ).

thf(c_0_29,hypothesis,
    ! [X6: a,X9: state,X7: state] :
      ( ( exec @ ( esk1_1 @ X7 ) @ body @ ( esk2_1 @ X7 ) )
      | ( pa @ ( esk4_1 @ X7 ) @ ( esk5_1 @ X7 ) )
      | ( qa @ X6 @ X9 )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_23]) ).

thf(c_0_30,hypothesis,
    ! [X6: a,X7: state,X9: state,X27: state] :
      ( ( qa @ X6 @ X9 )
      | ( pa @ ( esk4_1 @ X27 ) @ ( esk5_1 @ X27 ) )
      | ( pa @ ( esk3_1 @ X27 ) @ ( esk1_1 @ X27 ) )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X27 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_31,negated_conjecture,
    ! [X7: state,X6: a] :
      ( ( x = esk10_0 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ ( esk1_1 @ esk6_0 ) @ body @ X7 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk6_0 ) ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

thf(c_0_32,negated_conjecture,
    ( ( x = esk10_0 )
    | ( exec @ ( esk1_1 @ esk6_0 ) @ body @ ( esk2_1 @ esk6_0 ) )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_18]),c_0_19]) ).

thf(c_0_33,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( pa @ ( esk3_1 @ esk6_0 ) @ ( esk1_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_27,c_0_12]) ).

thf(c_0_34,negated_conjecture,
    ( ( x = esk10_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk6_0 ) @ esk6_0 ) @ r )
    | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_18]),c_0_19]) ).

thf(c_0_35,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( exec @ ( esk1_1 @ esk6_0 ) @ body @ ( esk2_1 @ esk6_0 ) )
      | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_29,c_0_12]) ).

thf(c_0_36,hypothesis,
    ! [X6: a,X9: state,X7: state] :
      ( ( pa @ ( esk3_1 @ X7 ) @ ( esk1_1 @ X7 ) )
      | ( pa @ ( esk4_1 @ X7 ) @ ( esk5_1 @ X7 ) )
      | ( qa @ X6 @ X9 )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_30]) ).

thf(c_0_37,hypothesis,
    ! [X6: a,X7: state,X9: state,X27: state] :
      ( ( qa @ X6 @ X9 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X27 ) @ X27 ) @ r )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X27 )
      | ~ ( qa @ ( esk3_1 @ X27 ) @ ( esk2_1 @ X27 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_38,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( qa @ X6 @ ( esk2_1 @ esk6_0 ) )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk6_0 ) ) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

thf(c_0_39,negated_conjecture,
    ( ( x = esk10_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r )
    | ( pa @ ( esk3_1 @ esk6_0 ) @ ( esk1_1 @ esk6_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_18]),c_0_19]) ).

thf(c_0_40,negated_conjecture,
    ! [X7: state,X6: a] :
      ( ( x = esk10_0 )
      | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ ( esk1_1 @ esk6_0 ) @ body @ X7 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk6_0 ) ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_34]) ).

thf(c_0_41,negated_conjecture,
    ( ( x = esk10_0 )
    | ( exec @ ( esk1_1 @ esk6_0 ) @ body @ ( esk2_1 @ esk6_0 ) )
    | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_18]),c_0_19]) ).

thf(c_0_42,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( pa @ ( esk3_1 @ esk6_0 ) @ ( esk1_1 @ esk6_0 ) )
      | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_12]) ).

thf(c_0_43,hypothesis,
    ! [X6: a,X9: state,X7: state] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X7 ) @ X7 ) @ r )
      | ( qa @ X6 @ X9 )
      | ~ ( qa @ ( esk3_1 @ X7 ) @ ( esk2_1 @ X7 ) )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_37]) ).

thf(c_0_44,negated_conjecture,
    ( ( x = esk10_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r )
    | ( qa @ ( esk3_1 @ esk6_0 ) @ ( esk2_1 @ esk6_0 ) ) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

thf(c_0_45,hypothesis,
    ! [X6: a,X7: state,X9: state,X27: state] :
      ( ( qa @ X6 @ X9 )
      | ( pa @ ( esk4_1 @ X27 ) @ ( esk5_1 @ X27 ) )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X27 )
      | ~ ( qa @ ( esk3_1 @ X27 ) @ ( esk2_1 @ X27 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_46,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) )
      | ( qa @ X6 @ ( esk2_1 @ esk6_0 ) )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk6_0 ) ) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

thf(c_0_47,negated_conjecture,
    ( ( x = esk10_0 )
    | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) )
    | ( pa @ ( esk3_1 @ esk6_0 ) @ ( esk1_1 @ esk6_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_18]),c_0_19]) ).

thf(c_0_48,hypothesis,
    ! [X6: a,X7: state,X9: state] :
      ( ( termi @ body @ X7 )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X9 )
      | ~ ( member1389040324_state @ ( produc64584659_state @ X9 @ x ) @ r ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_49,hypothesis,
    ! [X7: state,X6: a] :
      ( ( x = esk10_0 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ esk6_0 @ body @ X7 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

thf(c_0_50,hypothesis,
    ! [X6: a,X9: state,X7: state] :
      ( ( pa @ ( esk4_1 @ X7 ) @ ( esk5_1 @ X7 ) )
      | ( qa @ X6 @ X9 )
      | ~ ( qa @ ( esk3_1 @ X7 ) @ ( esk2_1 @ X7 ) )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_45]) ).

thf(c_0_51,negated_conjecture,
    ( ( x = esk10_0 )
    | ( qa @ ( esk3_1 @ esk6_0 ) @ ( esk2_1 @ esk6_0 ) )
    | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) ) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

thf(c_0_52,hypothesis,
    ! [X6: a,X7: state] :
      ( ( termi @ body @ X7 )
      | ~ ( member1389040324_state @ ( produc64584659_state @ X7 @ x ) @ r )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_48]) ).

thf(c_0_53,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_49,c_0_12]) ).

thf(c_0_54,hypothesis,
    ! [X7: state,X6: a] :
      ( ( x = esk10_0 )
      | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ esk6_0 @ body @ X7 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

thf(c_0_55,hypothesis,
    ! [X6: a,X7: state,X9: state,X27: state] :
      ( ( qa @ X6 @ X9 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X27 ) @ X27 ) @ r )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X27 )
      | ~ ( termi @ body @ ( esk5_1 @ X27 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_56,negated_conjecture,
    ! [X6: a,X7: state] :
      ( ( x = esk10_0 )
      | ( termi @ body @ X7 )
      | ~ ( member1389040324_state @ ( produc64584659_state @ X7 @ esk6_0 ) @ r )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(spm,[status(thm)],[c_0_52,c_0_16]) ).

thf(c_0_57,negated_conjecture,
    ( ( x = esk10_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_18]),c_0_19]) ).

thf(c_0_58,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_54,c_0_12]) ).

thf(c_0_59,hypothesis,
    ! [X6: a,X9: state,X7: state] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X7 ) @ X7 ) @ r )
      | ( qa @ X6 @ X9 )
      | ~ ( termi @ body @ ( esk5_1 @ X7 ) )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_55]) ).

thf(c_0_60,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( termi @ body @ ( esk5_1 @ esk6_0 ) )
      | ~ ( pa @ X6 @ ( esk5_1 @ esk6_0 ) ) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

thf(c_0_61,negated_conjecture,
    ( ( x = esk10_0 )
    | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_18]),c_0_19]) ).

thf(c_0_62,hypothesis,
    ! [X6: a,X7: state,X9: state,X27: state] :
      ( ( qa @ X6 @ X9 )
      | ( exec @ ( esk1_1 @ X27 ) @ body @ ( esk2_1 @ X27 ) )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X27 )
      | ~ ( termi @ body @ ( esk5_1 @ X27 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_63,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( termi @ body @ ( esk5_1 @ esk6_0 ) )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_59,c_0_12]) ).

thf(c_0_64,negated_conjecture,
    ( ( x = esk10_0 )
    | ( termi @ body @ ( esk5_1 @ esk6_0 ) ) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

thf(c_0_65,hypothesis,
    ! [X6: a,X9: state,X7: state] :
      ( ( exec @ ( esk1_1 @ X7 ) @ body @ ( esk2_1 @ X7 ) )
      | ( qa @ X6 @ X9 )
      | ~ ( termi @ body @ ( esk5_1 @ X7 ) )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_62]) ).

thf(c_0_66,hypothesis,
    ! [X6: a,X7: state,X9: state,X27: state] :
      ( ( qa @ X6 @ X9 )
      | ( pa @ ( esk3_1 @ X27 ) @ ( esk1_1 @ X27 ) )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X27 )
      | ~ ( termi @ body @ ( esk5_1 @ X27 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_67,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

thf(c_0_68,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( exec @ ( esk1_1 @ esk6_0 ) @ body @ ( esk2_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( termi @ body @ ( esk5_1 @ esk6_0 ) )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_65,c_0_12]) ).

thf(c_0_69,hypothesis,
    ! [X6: a,X9: state,X7: state] :
      ( ( pa @ ( esk3_1 @ X7 ) @ ( esk1_1 @ X7 ) )
      | ( qa @ X6 @ X9 )
      | ~ ( termi @ body @ ( esk5_1 @ X7 ) )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_66]) ).

thf(c_0_70,negated_conjecture,
    ( ( x = esk10_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk6_0 ) @ esk6_0 ) @ r ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_18]),c_0_19]) ).

thf(c_0_71,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( exec @ ( esk1_1 @ esk6_0 ) @ body @ ( esk2_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_68,c_0_64]) ).

thf(c_0_72,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( pa @ ( esk3_1 @ esk6_0 ) @ ( esk1_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( termi @ body @ ( esk5_1 @ esk6_0 ) )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_69,c_0_12]) ).

thf(c_0_73,hypothesis,
    ! [X6: a,X7: state,X9: state,X27: state] :
      ( ( qa @ X6 @ X9 )
      | ~ ( exec @ X7 @ body @ X9 )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X27 )
      | ~ ( termi @ body @ ( esk5_1 @ X27 ) )
      | ~ ( qa @ ( esk3_1 @ X27 ) @ ( esk2_1 @ X27 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_74,negated_conjecture,
    ! [X7: state,X6: a] :
      ( ( x = esk10_0 )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ ( esk1_1 @ esk6_0 ) @ body @ X7 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk6_0 ) ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_70]) ).

thf(c_0_75,negated_conjecture,
    ( ( x = esk10_0 )
    | ( exec @ ( esk1_1 @ esk6_0 ) @ body @ ( esk2_1 @ esk6_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_18]),c_0_19]) ).

thf(c_0_76,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( pa @ ( esk3_1 @ esk6_0 ) @ ( esk1_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_72,c_0_64]) ).

thf(c_0_77,hypothesis,
    ! [X6: a,X7: state,X9: state] :
      ( ( qa @ X6 @ X7 )
      | ~ ( qa @ ( esk3_1 @ X9 ) @ ( esk2_1 @ X9 ) )
      | ~ ( termi @ body @ ( esk5_1 @ X9 ) )
      | ~ ( exec @ X9 @ body @ X7 )
      | ~ ( pa @ X6 @ X9 ) ),
    inference(er,[status(thm)],[c_0_73]) ).

thf(c_0_78,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( qa @ X6 @ ( esk2_1 @ esk6_0 ) )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk6_0 ) ) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

thf(c_0_79,negated_conjecture,
    ( ( x = esk10_0 )
    | ( pa @ ( esk3_1 @ esk6_0 ) @ ( esk1_1 @ esk6_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_18]),c_0_19]) ).

thf(c_0_80,hypothesis,
    ! [X7: state,X6: a] :
      ( ( x = esk10_0 )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ esk6_0 @ body @ X7 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_64]),c_0_79]) ).

thf(c_0_81,hypothesis,
    ! [X6: a,X7: state,X9: state] :
      ( ( termi @ body @ X7 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X9 ) @ X9 ) @ r )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X9 ) @ X9 ) @ r )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_82,negated_conjecture,
    ! [X6: a] :
      ( ( x = esk10_0 )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_80,c_0_12]) ).

thf(c_0_83,hypothesis,
    ! [X6: a,X7: state] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X7 ) @ X7 ) @ r )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X7 ) @ X7 ) @ r )
      | ( termi @ body @ X7 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_81]) ).

thf(c_0_84,negated_conjecture,
    ( ( pa @ esk9_0 @ esk10_0 )
    | ( esk6_0 = x ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_85,negated_conjecture,
    ( ( esk6_0 = x )
    | ~ ( termi @ body @ esk10_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_86,hypothesis,
    ! [X6: a,X7: state,X9: state] :
      ( ( termi @ body @ X7 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X9 ) @ X9 ) @ r )
      | ( exec @ ( esk1_1 @ X9 ) @ body @ ( esk2_1 @ X9 ) )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_87,hypothesis,
    ! [X6: a,X7: state,X9: state] :
      ( ( termi @ body @ X7 )
      | ( pa @ ( esk4_1 @ X9 ) @ ( esk5_1 @ X9 ) )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X9 ) @ X9 ) @ r )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_88,negated_conjecture,
    x = esk10_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_82]),c_0_18]) ).

thf(c_0_89,negated_conjecture,
    ( ( x = esk6_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).

thf(c_0_90,hypothesis,
    ! [X6: a,X7: state] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X7 ) @ X7 ) @ r )
      | ( exec @ ( esk1_1 @ X7 ) @ body @ ( esk2_1 @ X7 ) )
      | ( termi @ body @ X7 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_86]) ).

thf(c_0_91,hypothesis,
    ! [X6: a,X7: state,X9: state] :
      ( ( termi @ body @ X7 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X9 ) @ X9 ) @ r )
      | ( pa @ ( esk3_1 @ X9 ) @ ( esk1_1 @ X9 ) )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_92,hypothesis,
    ! [X6: a,X7: state] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X7 ) @ X7 ) @ r )
      | ( pa @ ( esk4_1 @ X7 ) @ ( esk5_1 @ X7 ) )
      | ( termi @ body @ X7 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_87]) ).

thf(c_0_93,hypothesis,
    ! [X6: a,X7: state,X9: state] :
      ( ( termi @ body @ X7 )
      | ( pa @ ( esk4_1 @ X9 ) @ ( esk5_1 @ X9 ) )
      | ( exec @ ( esk1_1 @ X9 ) @ body @ ( esk2_1 @ X9 ) )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_94,hypothesis,
    ! [X6: a,X7: state,X9: state] :
      ( ( qa @ X6 @ X7 )
      | ~ ( member1389040324_state @ ( produc64584659_state @ X9 @ esk10_0 ) @ r )
      | ~ ( exec @ X9 @ body @ X7 )
      | ~ ( pa @ X6 @ X9 ) ),
    inference(spm,[status(thm)],[c_0_15,c_0_88]) ).

thf(c_0_95,negated_conjecture,
    ( ( esk6_0 = esk10_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r ) ),
    inference(rw,[status(thm)],[c_0_89,c_0_88]) ).

thf(c_0_96,negated_conjecture,
    ( ( x = esk6_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_84]),c_0_85]) ).

thf(c_0_97,hypothesis,
    ! [X6: a,X7: state] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X7 ) @ X7 ) @ r )
      | ( pa @ ( esk3_1 @ X7 ) @ ( esk1_1 @ X7 ) )
      | ( termi @ body @ X7 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_91]) ).

thf(c_0_98,negated_conjecture,
    ( ( x = esk6_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_84]),c_0_85]) ).

thf(c_0_99,hypothesis,
    ! [X6: a,X7: state] :
      ( ( exec @ ( esk1_1 @ X7 ) @ body @ ( esk2_1 @ X7 ) )
      | ( pa @ ( esk4_1 @ X7 ) @ ( esk5_1 @ X7 ) )
      | ( termi @ body @ X7 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_93]) ).

thf(c_0_100,hypothesis,
    ! [X6: a,X7: state,X9: state] :
      ( ( termi @ body @ X7 )
      | ( pa @ ( esk4_1 @ X9 ) @ ( esk5_1 @ X9 ) )
      | ( pa @ ( esk3_1 @ X9 ) @ ( esk1_1 @ X9 ) )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_101,negated_conjecture,
    ( ( pa @ esk9_0 @ esk10_0 )
    | ( pa @ esk8_0 @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_102,negated_conjecture,
    ( ( pa @ esk8_0 @ esk6_0 )
    | ~ ( termi @ body @ esk10_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_103,hypothesis,
    ! [X6: a,X7: state,X9: state] :
      ( ( termi @ body @ X7 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X9 ) @ X9 ) @ r )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X9 )
      | ~ ( termi @ body @ ( esk5_1 @ X9 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_104,hypothesis,
    ! [X7: state,X6: a] :
      ( ( esk6_0 = esk10_0 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ ( esk1_1 @ esk10_0 ) @ body @ X7 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

thf(c_0_105,negated_conjecture,
    ( ( esk6_0 = esk10_0 )
    | ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r ) ),
    inference(rw,[status(thm)],[c_0_96,c_0_88]) ).

thf(c_0_106,negated_conjecture,
    ( ( x = esk6_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( pa @ ( esk3_1 @ esk10_0 ) @ ( esk1_1 @ esk10_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_84]),c_0_85]) ).

thf(c_0_107,negated_conjecture,
    ( ( esk6_0 = esk10_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) ) ),
    inference(rw,[status(thm)],[c_0_98,c_0_88]) ).

thf(c_0_108,negated_conjecture,
    ( ( x = esk6_0 )
    | ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_84]),c_0_85]) ).

thf(c_0_109,hypothesis,
    ! [X6: a,X7: state] :
      ( ( pa @ ( esk3_1 @ X7 ) @ ( esk1_1 @ X7 ) )
      | ( pa @ ( esk4_1 @ X7 ) @ ( esk5_1 @ X7 ) )
      | ( termi @ body @ X7 )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_100]) ).

thf(c_0_110,negated_conjecture,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( pa @ esk8_0 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_101]),c_0_102]) ).

thf(c_0_111,hypothesis,
    ! [X6: a,X7: state] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ X7 ) @ X7 ) @ r )
      | ( termi @ body @ X7 )
      | ~ ( termi @ body @ ( esk5_1 @ X7 ) )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_103]) ).

thf(c_0_112,hypothesis,
    ! [X6: a,X7: state,X9: state] :
      ( ( termi @ body @ X7 )
      | ( exec @ ( esk1_1 @ X9 ) @ body @ ( esk2_1 @ X9 ) )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X9 )
      | ~ ( termi @ body @ ( esk5_1 @ X9 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_113,hypothesis,
    ! [X6: a,X7: state,X9: state] :
      ( ( termi @ body @ X7 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X9 ) @ X9 ) @ r )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X9 )
      | ~ ( qa @ ( esk3_1 @ X9 ) @ ( esk2_1 @ X9 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_114,negated_conjecture,
    ! [X6: a] :
      ( ( esk6_0 = esk10_0 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( qa @ X6 @ ( esk2_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

thf(c_0_115,negated_conjecture,
    ( ( esk6_0 = esk10_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( pa @ ( esk3_1 @ esk10_0 ) @ ( esk1_1 @ esk10_0 ) ) ),
    inference(rw,[status(thm)],[c_0_106,c_0_88]) ).

thf(c_0_116,negated_conjecture,
    ! [X7: state,X6: a] :
      ( ( esk6_0 = esk10_0 )
      | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ ( esk1_1 @ esk10_0 ) @ body @ X7 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_94,c_0_107]) ).

thf(c_0_117,negated_conjecture,
    ( ( esk6_0 = esk10_0 )
    | ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) ) ),
    inference(rw,[status(thm)],[c_0_108,c_0_88]) ).

thf(c_0_118,negated_conjecture,
    ( ( x = esk6_0 )
    | ( pa @ ( esk3_1 @ esk10_0 ) @ ( esk1_1 @ esk10_0 ) )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_84]),c_0_85]) ).

thf(c_0_119,negated_conjecture,
    ! [X7: state,X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( pa @ esk8_0 @ esk6_0 )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ ( esk1_1 @ esk10_0 ) @ body @ X7 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_94,c_0_110]) ).

thf(c_0_120,negated_conjecture,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
    | ( pa @ esk8_0 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_101]),c_0_102]) ).

thf(c_0_121,negated_conjecture,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( pa @ esk8_0 @ esk6_0 )
    | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_101]),c_0_102]) ).

thf(c_0_122,hypothesis,
    ! [X6: a,X7: state] :
      ( ( exec @ ( esk1_1 @ X7 ) @ body @ ( esk2_1 @ X7 ) )
      | ( termi @ body @ X7 )
      | ~ ( termi @ body @ ( esk5_1 @ X7 ) )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_112]) ).

thf(c_0_123,negated_conjecture,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
    | ( pa @ esk8_0 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_101]),c_0_102]) ).

thf(c_0_124,negated_conjecture,
    ( ( x = esk6_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_84]),c_0_85]) ).

thf(c_0_125,hypothesis,
    ! [X6: a,X7: state] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ X7 ) @ X7 ) @ r )
      | ( termi @ body @ X7 )
      | ~ ( qa @ ( esk3_1 @ X7 ) @ ( esk2_1 @ X7 ) )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_113]) ).

thf(c_0_126,negated_conjecture,
    ( ( esk6_0 = esk10_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( qa @ ( esk3_1 @ esk10_0 ) @ ( esk2_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

thf(c_0_127,negated_conjecture,
    ( ( esk6_0 = esk10_0 )
    | ~ ( termi @ body @ esk10_0 ) ),
    inference(rw,[status(thm)],[c_0_85,c_0_88]) ).

thf(c_0_128,hypothesis,
    ! [X6: a,X7: state,X9: state] :
      ( ( termi @ body @ X7 )
      | ( pa @ ( esk4_1 @ X9 ) @ ( esk5_1 @ X9 ) )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X9 )
      | ~ ( qa @ ( esk3_1 @ X9 ) @ ( esk2_1 @ X9 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_129,negated_conjecture,
    ! [X6: a] :
      ( ( esk6_0 = esk10_0 )
      | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
      | ( qa @ X6 @ ( esk2_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

thf(c_0_130,negated_conjecture,
    ( ( esk6_0 = esk10_0 )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
    | ( pa @ ( esk3_1 @ esk10_0 ) @ ( esk1_1 @ esk10_0 ) ) ),
    inference(rw,[status(thm)],[c_0_118,c_0_88]) ).

thf(c_0_131,negated_conjecture,
    ! [X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( qa @ X6 @ ( esk2_1 @ esk10_0 ) )
      | ( pa @ esk8_0 @ esk6_0 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

thf(c_0_132,negated_conjecture,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( pa @ ( esk3_1 @ esk10_0 ) @ ( esk1_1 @ esk10_0 ) )
    | ( pa @ esk8_0 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_101]),c_0_102]) ).

thf(c_0_133,hypothesis,
    ! [X6: a,X7: state,X9: state] :
      ( ( termi @ body @ X7 )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X9 )
      | ~ ( termi @ body @ ( esk5_1 @ X9 ) )
      | ~ ( qa @ ( esk3_1 @ X9 ) @ ( esk2_1 @ X9 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_134,negated_conjecture,
    ! [X7: state,X6: a] :
      ( ( pa @ esk8_0 @ esk6_0 )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ ( esk1_1 @ esk10_0 ) @ body @ X7 )
      | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_94,c_0_121]) ).

thf(c_0_135,negated_conjecture,
    ( ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
    | ( pa @ esk8_0 @ esk6_0 )
    | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_101]),c_0_102]) ).

thf(c_0_136,hypothesis,
    ! [X6: a,X7: state,X9: state] :
      ( ( termi @ body @ X7 )
      | ( pa @ ( esk3_1 @ X9 ) @ ( esk1_1 @ X9 ) )
      | ~ ( pa @ X6 @ X7 )
      | ( X7 != X9 )
      | ~ ( termi @ body @ ( esk5_1 @ X9 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_137,negated_conjecture,
    ! [X7: state,X6: a] :
      ( ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
      | ( pa @ esk8_0 @ esk6_0 )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ ( esk1_1 @ esk10_0 ) @ body @ X7 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_94,c_0_123]) ).

thf(c_0_138,negated_conjecture,
    ( ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
    | ( pa @ esk8_0 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_101]),c_0_102]) ).

thf(c_0_139,negated_conjecture,
    ( ( esk6_0 = esk10_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) ) ),
    inference(rw,[status(thm)],[c_0_124,c_0_88]) ).

thf(c_0_140,negated_conjecture,
    ( ( x = esk6_0 )
    | ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
    | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_84]),c_0_85]) ).

thf(c_0_141,hypothesis,
    ! [X6: a] :
      ( ( esk6_0 = esk10_0 )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]) ).

thf(c_0_142,negated_conjecture,
    ( ( esk6_0 = esk10_0 )
    | ( pa @ esk9_0 @ esk10_0 ) ),
    inference(rw,[status(thm)],[c_0_84,c_0_88]) ).

thf(c_0_143,hypothesis,
    ! [X6: a,X7: state] :
      ( ( pa @ ( esk4_1 @ X7 ) @ ( esk5_1 @ X7 ) )
      | ( termi @ body @ X7 )
      | ~ ( qa @ ( esk3_1 @ X7 ) @ ( esk2_1 @ X7 ) )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_128]) ).

thf(c_0_144,negated_conjecture,
    ( ( esk6_0 = esk10_0 )
    | ( qa @ ( esk3_1 @ esk10_0 ) @ ( esk2_1 @ esk10_0 ) )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

thf(c_0_145,negated_conjecture,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( qa @ ( esk3_1 @ esk10_0 ) @ ( esk2_1 @ esk10_0 ) )
    | ( pa @ esk8_0 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

thf(c_0_146,hypothesis,
    ! [X6: a,X7: state] :
      ( ( termi @ body @ X7 )
      | ~ ( qa @ ( esk3_1 @ X7 ) @ ( esk2_1 @ X7 ) )
      | ~ ( termi @ body @ ( esk5_1 @ X7 ) )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_133]) ).

thf(c_0_147,negated_conjecture,
    ! [X6: a] :
      ( ( qa @ X6 @ ( esk2_1 @ esk10_0 ) )
      | ( pa @ esk8_0 @ esk6_0 )
      | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_134,c_0_135]) ).

thf(c_0_148,hypothesis,
    ! [X6: a,X7: state] :
      ( ( pa @ ( esk3_1 @ X7 ) @ ( esk1_1 @ X7 ) )
      | ( termi @ body @ X7 )
      | ~ ( termi @ body @ ( esk5_1 @ X7 ) )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(er,[status(thm)],[c_0_136]) ).

thf(c_0_149,negated_conjecture,
    ! [X6: a] :
      ( ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
      | ( qa @ X6 @ ( esk2_1 @ esk10_0 ) )
      | ( pa @ esk8_0 @ esk6_0 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

thf(c_0_150,negated_conjecture,
    ( ( pa @ ( esk3_1 @ esk10_0 ) @ ( esk1_1 @ esk10_0 ) )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
    | ( pa @ esk8_0 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_101]),c_0_102]) ).

thf(c_0_151,negated_conjecture,
    ! [X7: state,X6: a] :
      ( ( esk6_0 = esk10_0 )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ ( esk1_1 @ esk10_0 ) @ body @ X7 )
      | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_94,c_0_139]) ).

thf(c_0_152,negated_conjecture,
    ( ( esk6_0 = esk10_0 )
    | ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
    | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) ) ),
    inference(rw,[status(thm)],[c_0_140,c_0_88]) ).

thf(c_0_153,hypothesis,
    ! [X6: a,X7: state] :
      ( ( termi @ body @ X7 )
      | ~ ( member1389040324_state @ ( produc64584659_state @ X7 @ esk10_0 ) @ r )
      | ~ ( pa @ X6 @ X7 ) ),
    inference(spm,[status(thm)],[c_0_52,c_0_88]) ).

thf(c_0_154,negated_conjecture,
    ( ( esk6_0 = esk10_0 )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r ) ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

thf(c_0_155,hypothesis,
    ! [X6: a] :
      ( ( esk6_0 = esk10_0 )
      | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_127]) ).

thf(c_0_156,hypothesis,
    ! [X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( pa @ esk8_0 @ esk6_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_145]),c_0_102]) ).

thf(c_0_157,hypothesis,
    ! [X6: a] :
      ( ( pa @ esk8_0 @ esk6_0 )
      | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]),c_0_102]) ).

thf(c_0_158,negated_conjecture,
    ( ( qa @ ( esk3_1 @ esk10_0 ) @ ( esk2_1 @ esk10_0 ) )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
    | ( pa @ esk8_0 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

thf(c_0_159,negated_conjecture,
    ! [X6: a] :
      ( ( esk6_0 = esk10_0 )
      | ( qa @ X6 @ ( esk2_1 @ esk10_0 ) )
      | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

thf(c_0_160,hypothesis,
    ! [X6: a] :
      ( ( esk6_0 = esk10_0 )
      | ( termi @ body @ ( esk5_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ ( esk5_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

thf(c_0_161,negated_conjecture,
    ( ( esk6_0 = esk10_0 )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_155,c_0_142]) ).

thf(c_0_162,negated_conjecture,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( pa @ esk8_0 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_156,c_0_101]) ).

thf(c_0_163,negated_conjecture,
    ( ( pa @ esk8_0 @ esk6_0 )
    | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_157,c_0_101]) ).

thf(c_0_164,hypothesis,
    ! [X6: a] :
      ( ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
      | ( pa @ esk8_0 @ esk6_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_158]),c_0_102]) ).

thf(c_0_165,hypothesis,
    ! [X6: a] :
      ( ( esk6_0 = esk10_0 )
      | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_159]),c_0_148]),c_0_127]) ).

thf(c_0_166,negated_conjecture,
    ( ( esk6_0 = esk10_0 )
    | ( termi @ body @ ( esk5_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

thf(c_0_167,hypothesis,
    ! [X6: a] :
      ( ( pa @ esk8_0 @ esk6_0 )
      | ~ ( pa @ X6 @ ( esk5_1 @ esk10_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_162]),c_0_163]) ).

thf(c_0_168,negated_conjecture,
    ( ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
    | ( pa @ esk8_0 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_164,c_0_101]) ).

thf(c_0_169,hypothesis,
    ! [X6: a] :
      ( ( esk6_0 = esk10_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

thf(c_0_170,negated_conjecture,
    pa @ esk8_0 @ esk6_0,
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

thf(c_0_171,negated_conjecture,
    esk6_0 = esk10_0,
    inference(spm,[status(thm)],[c_0_169,c_0_142]) ).

thf(c_0_172,negated_conjecture,
    pa @ esk8_0 @ esk10_0,
    inference(rw,[status(thm)],[c_0_170,c_0_171]) ).

thf(c_0_173,hypothesis,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( termi @ body @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_83,c_0_172]) ).

thf(c_0_174,hypothesis,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r )
    | ( exec @ ( esk1_1 @ esk6_0 ) @ body @ ( esk2_1 @ esk6_0 ) )
    | ( termi @ body @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_90,c_0_170]) ).

thf(c_0_175,hypothesis,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk6_0 ) @ esk6_0 ) @ r )
    | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) )
    | ( termi @ body @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_92,c_0_170]) ).

thf(c_0_176,hypothesis,
    ! [X7: state,X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( termi @ body @ esk10_0 )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ ( esk1_1 @ esk10_0 ) @ body @ X7 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_94,c_0_173]) ).

thf(c_0_177,hypothesis,
    ( ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( termi @ body @ esk10_0 ) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_171]) ).

thf(c_0_178,hypothesis,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r )
    | ( pa @ ( esk3_1 @ esk6_0 ) @ ( esk1_1 @ esk6_0 ) )
    | ( termi @ body @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_97,c_0_170]) ).

thf(c_0_179,hypothesis,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
    | ( termi @ body @ esk10_0 ) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_171]) ).

thf(c_0_180,hypothesis,
    ( ( exec @ ( esk1_1 @ esk6_0 ) @ body @ ( esk2_1 @ esk6_0 ) )
    | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) )
    | ( termi @ body @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_99,c_0_170]) ).

thf(c_0_181,hypothesis,
    ! [X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( qa @ X6 @ ( esk2_1 @ esk10_0 ) )
      | ( termi @ body @ esk10_0 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

thf(c_0_182,hypothesis,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( pa @ ( esk3_1 @ esk10_0 ) @ ( esk1_1 @ esk10_0 ) )
    | ( termi @ body @ esk10_0 ) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_171]) ).

thf(c_0_183,hypothesis,
    ! [X7: state,X6: a] :
      ( ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
      | ( termi @ body @ esk10_0 )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ ( esk1_1 @ esk10_0 ) @ body @ X7 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_94,c_0_179]) ).

thf(c_0_184,hypothesis,
    ( ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
    | ( termi @ body @ esk10_0 ) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_171]) ).

thf(c_0_185,hypothesis,
    ( ( pa @ ( esk3_1 @ esk6_0 ) @ ( esk1_1 @ esk6_0 ) )
    | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) )
    | ( termi @ body @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_109,c_0_170]) ).

thf(c_0_186,hypothesis,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk6_0 ) @ esk6_0 ) @ r )
    | ( termi @ body @ esk6_0 )
    | ~ ( termi @ body @ ( esk5_1 @ esk6_0 ) ) ),
    inference(spm,[status(thm)],[c_0_111,c_0_170]) ).

thf(c_0_187,hypothesis,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( qa @ ( esk3_1 @ esk10_0 ) @ ( esk2_1 @ esk10_0 ) )
    | ( termi @ body @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

thf(c_0_188,hypothesis,
    ! [X6: a] :
      ( ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
      | ( qa @ X6 @ ( esk2_1 @ esk10_0 ) )
      | ( termi @ body @ esk10_0 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

thf(c_0_189,hypothesis,
    ( ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
    | ( pa @ ( esk3_1 @ esk10_0 ) @ ( esk1_1 @ esk10_0 ) )
    | ( termi @ body @ esk10_0 ) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_171]) ).

thf(c_0_190,hypothesis,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( termi @ body @ esk10_0 )
    | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) ) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_171]),c_0_171]),c_0_171]),c_0_171]) ).

thf(c_0_191,hypothesis,
    ( ( exec @ ( esk1_1 @ esk6_0 ) @ body @ ( esk2_1 @ esk6_0 ) )
    | ( termi @ body @ esk6_0 )
    | ~ ( termi @ body @ ( esk5_1 @ esk6_0 ) ) ),
    inference(spm,[status(thm)],[c_0_122,c_0_170]) ).

thf(c_0_192,hypothesis,
    ! [X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( termi @ body @ esk10_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_125,c_0_187]) ).

thf(c_0_193,hypothesis,
    ( ( qa @ ( esk3_1 @ esk10_0 ) @ ( esk2_1 @ esk10_0 ) )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
    | ( termi @ body @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

thf(c_0_194,hypothesis,
    ! [X7: state,X6: a] :
      ( ( termi @ body @ esk10_0 )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ ( esk1_1 @ esk10_0 ) @ body @ X7 )
      | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_94,c_0_190]) ).

thf(c_0_195,hypothesis,
    ( ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
    | ( termi @ body @ esk10_0 )
    | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) ) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_171]),c_0_171]),c_0_171]),c_0_171]) ).

thf(c_0_196,negated_conjecture,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( termi @ body @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_192,c_0_172]) ).

thf(c_0_197,hypothesis,
    ! [X6: a] :
      ( ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
      | ( termi @ body @ esk10_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_143,c_0_193]) ).

thf(c_0_198,hypothesis,
    ! [X6: a] :
      ( ( qa @ X6 @ ( esk2_1 @ esk10_0 ) )
      | ( termi @ body @ esk10_0 )
      | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

thf(c_0_199,hypothesis,
    ! [X6: a] :
      ( ( termi @ body @ ( esk5_1 @ esk10_0 ) )
      | ( termi @ body @ esk10_0 )
      | ~ ( pa @ X6 @ ( esk5_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_153,c_0_196]) ).

thf(c_0_200,negated_conjecture,
    ( ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
    | ( termi @ body @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_197,c_0_172]) ).

thf(c_0_201,hypothesis,
    ! [X6: a] :
      ( ( termi @ body @ esk10_0 )
      | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_198]),c_0_148]) ).

thf(c_0_202,negated_conjecture,
    ( ( termi @ body @ ( esk5_1 @ esk10_0 ) )
    | ( termi @ body @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

thf(c_0_203,negated_conjecture,
    ( ( exec @ esk6_0 @ body @ esk7_0 )
    | ~ ( termi @ body @ esk10_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_204,hypothesis,
    ! [X6: a] :
      ( ( termi @ body @ esk10_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_201,c_0_202]) ).

thf(c_0_205,negated_conjecture,
    ! [X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( termi @ body @ esk10_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_11,c_0_203]) ).

thf(c_0_206,negated_conjecture,
    ( ~ ( termi @ body @ esk10_0 )
    | ~ ( qa @ esk8_0 @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_207,negated_conjecture,
    termi @ body @ esk10_0,
    inference(spm,[status(thm)],[c_0_204,c_0_172]) ).

thf(c_0_208,negated_conjecture,
    ! [X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( exec @ ( esk1_1 @ esk6_0 ) @ body @ ( esk2_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( termi @ body @ esk10_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_203]) ).

thf(c_0_209,negated_conjecture,
    ! [X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( termi @ body @ esk10_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_22,c_0_203]) ).

thf(c_0_210,negated_conjecture,
    ! [X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_83]) ).

thf(c_0_211,negated_conjecture,
    ~ ( qa @ esk8_0 @ esk7_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_207])]) ).

thf(c_0_212,negated_conjecture,
    ! [X6: a] :
      ( ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
      | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_90]) ).

thf(c_0_213,negated_conjecture,
    ! [X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( pa @ ( esk3_1 @ esk6_0 ) @ ( esk1_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( termi @ body @ esk10_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_27,c_0_203]) ).

thf(c_0_214,negated_conjecture,
    ! [X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_200]) ).

thf(c_0_215,negated_conjecture,
    ! [X6: a] :
      ( ( exec @ ( esk1_1 @ esk6_0 ) @ body @ ( esk2_1 @ esk6_0 ) )
      | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( termi @ body @ esk10_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_29,c_0_203]) ).

thf(c_0_216,negated_conjecture,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_172]),c_0_211]) ).

thf(c_0_217,negated_conjecture,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
    | ( qa @ esk8_0 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_212,c_0_172]) ).

thf(c_0_218,negated_conjecture,
    ! [X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( pa @ ( esk3_1 @ esk10_0 ) @ ( esk1_1 @ esk10_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_97]) ).

thf(c_0_219,negated_conjecture,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
    | ( qa @ esk8_0 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_214,c_0_172]) ).

thf(c_0_220,negated_conjecture,
    ! [X6: a] :
      ( ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
      | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_99]) ).

thf(c_0_221,negated_conjecture,
    ! [X6: a] :
      ( ( pa @ ( esk3_1 @ esk6_0 ) @ ( esk1_1 @ esk6_0 ) )
      | ( pa @ ( esk4_1 @ esk6_0 ) @ ( esk5_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( termi @ body @ esk10_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_203]) ).

thf(c_0_222,hypothesis,
    ! [X7: state,X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ ( esk1_1 @ esk10_0 ) @ body @ X7 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_94,c_0_216]) ).

thf(c_0_223,negated_conjecture,
    ( ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
    | ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r ) ),
    inference(sr,[status(thm)],[c_0_217,c_0_211]) ).

thf(c_0_224,negated_conjecture,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( pa @ ( esk3_1 @ esk10_0 ) @ ( esk1_1 @ esk10_0 ) )
    | ( qa @ esk8_0 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_218,c_0_172]) ).

thf(c_0_225,hypothesis,
    ! [X7: state,X6: a] :
      ( ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
      | ( qa @ esk8_0 @ esk7_0 )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ ( esk1_1 @ esk10_0 ) @ body @ X7 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_94,c_0_219]) ).

thf(c_0_226,negated_conjecture,
    ( ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
    | ( qa @ esk8_0 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_220,c_0_172]) ).

thf(c_0_227,negated_conjecture,
    ! [X6: a] :
      ( ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
      | ( pa @ ( esk3_1 @ esk10_0 ) @ ( esk1_1 @ esk10_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_109]) ).

thf(c_0_228,negated_conjecture,
    ! [X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( qa @ X6 @ ( esk2_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_222,c_0_223]) ).

thf(c_0_229,negated_conjecture,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( pa @ ( esk3_1 @ esk10_0 ) @ ( esk1_1 @ esk10_0 ) ) ),
    inference(sr,[status(thm)],[c_0_224,c_0_211]) ).

thf(c_0_230,negated_conjecture,
    ! [X6: a] :
      ( ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
      | ( qa @ X6 @ ( esk2_1 @ esk10_0 ) )
      | ( qa @ esk8_0 @ esk7_0 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_225,c_0_226]) ).

thf(c_0_231,negated_conjecture,
    ( ( pa @ ( esk3_1 @ esk10_0 ) @ ( esk1_1 @ esk10_0 ) )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
    | ( qa @ esk8_0 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_227,c_0_172]) ).

thf(c_0_232,negated_conjecture,
    ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
    | ( qa @ ( esk3_1 @ esk10_0 ) @ ( esk2_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

thf(c_0_233,negated_conjecture,
    ( ( exec @ esk10_0 @ body @ esk7_0 )
    | ~ ( termi @ body @ esk10_0 ) ),
    inference(rw,[status(thm)],[c_0_203,c_0_171]) ).

thf(c_0_234,negated_conjecture,
    ( ( qa @ ( esk3_1 @ esk10_0 ) @ ( esk2_1 @ esk10_0 ) )
    | ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
    | ( qa @ esk8_0 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_230,c_0_231]) ).

thf(c_0_235,hypothesis,
    ! [X7: state,X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ esk10_0 @ body @ X7 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_43,c_0_232]) ).

thf(c_0_236,negated_conjecture,
    exec @ esk10_0 @ body @ esk7_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_207])]) ).

thf(c_0_237,hypothesis,
    ! [X7: state,X6: a] :
      ( ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
      | ( qa @ esk8_0 @ esk7_0 )
      | ( qa @ X6 @ X7 )
      | ~ ( exec @ esk10_0 @ body @ X7 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_50,c_0_234]) ).

thf(c_0_238,negated_conjecture,
    ! [X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_235,c_0_236]) ).

thf(c_0_239,negated_conjecture,
    ! [X6: a] :
      ( ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
      | ( qa @ esk8_0 @ esk7_0 )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_233]),c_0_200]) ).

thf(c_0_240,negated_conjecture,
    member1389040324_state @ ( produc64584659_state @ ( esk5_1 @ esk10_0 ) @ esk10_0 ) @ r,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_172]),c_0_211]) ).

thf(c_0_241,negated_conjecture,
    ( ( pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ) )
    | ( qa @ esk8_0 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_239,c_0_172]) ).

thf(c_0_242,negated_conjecture,
    ! [X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk6_0 ) @ esk6_0 ) @ r )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( termi @ body @ ( esk5_1 @ esk6_0 ) )
      | ~ ( termi @ body @ esk10_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_59,c_0_203]) ).

thf(c_0_243,hypothesis,
    ! [X6: a] :
      ( ( termi @ body @ ( esk5_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ ( esk5_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_153,c_0_240]) ).

thf(c_0_244,negated_conjecture,
    pa @ ( esk4_1 @ esk10_0 ) @ ( esk5_1 @ esk10_0 ),
    inference(sr,[status(thm)],[c_0_241,c_0_211]) ).

thf(c_0_245,negated_conjecture,
    ! [X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_201]) ).

thf(c_0_246,negated_conjecture,
    termi @ body @ ( esk5_1 @ esk10_0 ),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

thf(c_0_247,negated_conjecture,
    ! [X6: a] :
      ( ( exec @ ( esk1_1 @ esk6_0 ) @ body @ ( esk2_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( termi @ body @ ( esk5_1 @ esk6_0 ) )
      | ~ ( termi @ body @ esk10_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_65,c_0_203]) ).

thf(c_0_248,negated_conjecture,
    ! [X6: a] :
      ( ( member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_246])]) ).

thf(c_0_249,negated_conjecture,
    ! [X6: a] :
      ( ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_122]) ).

thf(c_0_250,negated_conjecture,
    ! [X6: a] :
      ( ( pa @ ( esk3_1 @ esk6_0 ) @ ( esk1_1 @ esk6_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( termi @ body @ ( esk5_1 @ esk6_0 ) )
      | ~ ( termi @ body @ esk10_0 )
      | ~ ( pa @ X6 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_69,c_0_203]) ).

thf(c_0_251,negated_conjecture,
    member1389040324_state @ ( produc64584659_state @ ( esk1_1 @ esk10_0 ) @ esk10_0 ) @ r,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_172]),c_0_211]) ).

thf(c_0_252,negated_conjecture,
    ! [X6: a] :
      ( ( exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_246])]) ).

thf(c_0_253,negated_conjecture,
    ! [X6: a] :
      ( ( pa @ ( esk3_1 @ esk10_0 ) @ ( esk1_1 @ esk10_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( termi @ body @ ( esk5_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_148]) ).

thf(c_0_254,hypothesis,
    ! [X7: state,X6: a] :
      ( ( qa @ X6 @ X7 )
      | ~ ( exec @ ( esk1_1 @ esk10_0 ) @ body @ X7 )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_94,c_0_251]) ).

thf(c_0_255,negated_conjecture,
    exec @ ( esk1_1 @ esk10_0 ) @ body @ ( esk2_1 @ esk10_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_172]),c_0_211]) ).

thf(c_0_256,negated_conjecture,
    ! [X6: a] :
      ( ( pa @ ( esk3_1 @ esk10_0 ) @ ( esk1_1 @ esk10_0 ) )
      | ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_246])]) ).

thf(c_0_257,negated_conjecture,
    ! [X6: a] :
      ( ( qa @ X6 @ ( esk2_1 @ esk10_0 ) )
      | ~ ( pa @ X6 @ ( esk1_1 @ esk10_0 ) ) ),
    inference(spm,[status(thm)],[c_0_254,c_0_255]) ).

thf(c_0_258,negated_conjecture,
    pa @ ( esk3_1 @ esk10_0 ) @ ( esk1_1 @ esk10_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_172]),c_0_211]) ).

thf(c_0_259,hypothesis,
    ! [X7: state,X6: a] :
      ( ( qa @ X6 @ X7 )
      | ~ ( exec @ esk10_0 @ body @ X7 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_257]),c_0_246]),c_0_258])]) ).

thf(c_0_260,negated_conjecture,
    ! [X6: a] :
      ( ( qa @ X6 @ esk7_0 )
      | ~ ( pa @ X6 @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_259,c_0_236]) ).

thf(c_0_261,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_260]),c_0_172])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP141^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.18  % Computer : n014.cluster.edu
% 0.10/0.18  % Model    : x86_64 x86_64
% 0.10/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18  % Memory   : 8046.5625MB
% 0.10/0.18  % OS       : Linux 6.8.0-71-generic
% 0.10/0.18  % CPULimit : 300
% 0.10/0.18  % WCLimit  : 300
% 0.10/0.18  % DateTime : Tue Sep 29 19:59:29 UTC 2026
% 0.10/0.18  % CPUTime  : 
% 0.10/0.18  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22  Running higher-order theorem proving
% 0.18/0.27  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.VAlJV4NR3j/E---3.1_3137976.p
% 186.67/27.62  % Version: 3.5.1-ho
% 186.67/27.62  % Preprocessing class: HSLMSMSMSSLNHSA.
% 186.67/27.62  % Scheduled 7 strats onto 8 cores with 300 seconds (2400 total)
% 186.67/27.62  % Starting new_bool_8 with 600s (2) cores
% 186.67/27.62  % Starting new_ho_3 with 300s (1) cores
% 186.67/27.62  % Starting additional_ho_3 with 300s (1) cores
% 186.67/27.62  % Starting full_lambda_10 with 300s (1) cores
% 186.67/27.62  % Starting ehoh_best with 300s (1) cores
% 186.67/27.62  % Starting sh2lt with 300s (1) cores
% 186.67/27.62  % Starting full_lambda_4 with 300s (1) cores
% 186.67/27.62  % new_bool_8 with pid 3138023 completed with status 0
% 186.67/27.62  % Result found by new_bool_8
% 186.67/27.62  % Preprocessing class: HSLMSMSMSSLNHSA.
% 186.67/27.62  % Scheduled 7 strats onto 8 cores with 300 seconds (2400 total)
% 186.67/27.62  % Starting new_bool_8 with 600s (2) cores
% 186.67/27.62  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 186.67/27.62  % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 186.67/27.62  % Search class: HGHSM-FSLM32-MHSFFSBN
% 186.67/27.62  % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 186.67/27.62  % Starting SubtermCWHack with 55s (1) cores
% 186.67/27.62  % Starting new_bool_8 with 61s (1) cores
% 186.67/27.62  % new_bool_8 with pid 3138037 completed with status 0
% 186.67/27.62  % Result found by new_bool_8
% 186.67/27.62  % Preprocessing class: HSLMSMSMSSLNHSA.
% 186.67/27.62  % Scheduled 7 strats onto 8 cores with 300 seconds (2400 total)
% 186.67/27.62  % Starting new_bool_8 with 600s (2) cores
% 186.67/27.62  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 186.67/27.62  % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 186.67/27.62  % Search class: HGHSM-FSLM32-MHSFFSBN
% 186.67/27.62  % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 186.67/27.62  % Starting SubtermCWHack with 55s (1) cores
% 186.67/27.62  % Starting new_bool_8 with 61s (1) cores
% 186.67/27.62  % Preprocessing time       : 0.007 s
% 186.67/27.62  % Presaturation interreduction done
% 186.67/27.62  
% 186.67/27.62  % Proof found!
% 186.67/27.62  % SZS status Theorem
% 186.67/27.62  % SZS output start CNFRefutation
% See solution above
% 186.67/27.62  % Parsed axioms                        : 486
% 186.67/27.62  % Removed by relevancy pruning/SinE    : 385
% 186.67/27.62  % Initial clauses                      : 277
% 186.67/27.62  % Removed in clause preprocessing      : 19
% 186.67/27.62  % Initial clauses in saturation        : 258
% 186.67/27.62  % Processed clauses                    : 44610
% 186.67/27.62  % ...of these trivial                  : 2048
% 186.67/27.62  % ...subsumed                          : 35402
% 186.67/27.62  % ...remaining for further processing  : 7160
% 186.67/27.62  % Other redundant clauses eliminated   : 580
% 186.67/27.62  % Clauses deleted for lack of memory   : 0
% 186.67/27.62  % Backward-subsumed                    : 558
% 186.67/27.62  % Backward-rewritten                   : 667
% 186.67/27.62  % Generated clauses                    : 589739
% 186.67/27.62  % ...of the previous two non-redundant : 516417
% 186.67/27.62  % ...aggressively subsumed             : 0
% 186.67/27.62  % Contextual simplify-reflections      : 194
% 186.67/27.62  % Paramodulations                      : 586903
% 186.67/27.62  % Factorizations                       : 155
% 186.67/27.62  % NegExts                              : 1287
% 186.67/27.62  % Equation resolutions                 : 612
% 186.67/27.62  % Disequality decompositions           : 0
% 186.67/27.62  % Total rewrite steps                  : 568068
% 186.67/27.62  % ...of those cached                   : 562510
% 186.67/27.62  % Propositional unsat checks           : 1
% 186.67/27.62  %    Propositional check models        : 0
% 186.67/27.62  %    Propositional check unsatisfiable : 0
% 186.67/27.62  %    Propositional clauses             : 0
% 186.67/27.62  %    Propositional clauses after purity: 0
% 186.67/27.62  %    Propositional unsat core size     : 0
% 186.67/27.62  %    Propositional preprocessing time  : 0.000
% 186.67/27.62  %    Propositional encoding time       : 1.143
% 186.67/27.62  %    Propositional solver time         : 0.466
% 186.67/27.62  %    Success case prop preproc time    : 0.000
% 186.67/27.62  %    Success case prop encoding time   : 0.000
% 186.67/27.62  %    Success case prop solver time     : 0.000
% 186.67/27.62  % Current number of processed clauses  : 5518
% 186.67/27.62  %    Positive orientable unit clauses  : 408
% 186.67/27.62  %    Positive unorientable unit clauses: 13
% 186.67/27.62  %    Negative unit clauses             : 1410
% 186.67/27.62  %    Non-unit-clauses                  : 3687
% 186.67/27.62  % Current number of unprocessed clauses: 470866
% 186.67/27.62  % ...number of literals in the above   : 1190097
% 186.67/27.62  % Current number of archived formulas  : 0
% 186.67/27.62  % Current number of archived clauses   : 1600
% 186.67/27.62  % Clause-clause subsumption calls (NU) : 4049654
% 186.67/27.62  % Rec. Clause-clause subsumption calls : 2171552
% 186.67/27.62  % Non-unit clause-clause subsumptions  : 19622
% 186.67/27.62  % Unit Clause-clause subsumption calls : 502796
% 186.67/27.62  % Rewrite failures with RHS unbound    : 0
% 186.67/27.62  % BW rewrite match attempts            : 4664
% 186.67/27.62  % BW rewrite match successes           : 392
% 186.67/27.62  % Condensation attempts                : 0
% 186.67/27.62  % Condensation successes               : 0
% 186.67/27.62  % Termbank termtop insertions          : 18042513
% 186.67/27.62  % Search garbage collected termcells   : 9171
% 186.67/27.62  
% 186.67/27.62  % -------------------------------------------------
% 186.67/27.62  % User time                : 25.522 s
% 186.67/27.62  % System time              : 0.699 s
% 186.67/27.62  % Total time               : 26.221 s
% 186.67/27.62  % Maximum resident set size: 5724 pages
% 186.67/27.62  
% 186.67/27.62  % -------------------------------------------------
% 186.67/27.62  % User time                : 51.358 s
% 186.67/27.62  % System time              : 1.479 s
% 186.67/27.62  % Total time               : 52.837 s
% 186.67/27.62  % Maximum resident set size: 5888 pages
% 186.67/27.62  % E exiting
%------------------------------------------------------------------------------