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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : PUZ061+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n017.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 : Thu Sep 24 08:54:25 AM UTC 2026

% Result   : Theorem 0.10s 0.39s
% Output   : Proof 0.10s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
    ! [Peanuts,John,Bill,Sue,Apples,Chicken] :
      ( ( ! [Y] :
            ( alive(Y)
           => ! [X] : not_killed_by(Y,X) )
        & ! [X] :
            ( eats(Bill,X)
           => eats(Sue,X) )
        & alive(Bill)
        & eats(Bill,Peanuts)
        & ! [X] :
            ( ? [Y] :
                ( not_killed_by(Y,X)
                & eats(Y,X) )
           => food(X) )
        & food(Chicken)
        & food(Apples)
        & ! [X] :
            ( food(X)
           => likes(John,X) )
        & ! [X,Y] :
            ( ( eats(Y,Chicken)
              & alive(Y) )
           => likes(Y,X) ) )
     => likes(John,Peanuts) ),
    file('theBenchmark.p',prove_this) ).

fof(f_1_1,negated_conjecture,
    ~ ! [Peanuts,John,Bill,Sue,Apples,Chicken] :
        ( ( ! [Y] :
              ( alive(Y)
             => ! [X] : not_killed_by(Y,X) )
          & ! [X] :
              ( eats(Bill,X)
             => eats(Sue,X) )
          & alive(Bill)
          & eats(Bill,Peanuts)
          & ! [X] :
              ( ? [Y] :
                  ( not_killed_by(Y,X)
                  & eats(Y,X) )
             => food(X) )
          & food(Chicken)
          & food(Apples)
          & ! [X] :
              ( food(X)
             => likes(John,X) )
          & ! [X,Y] :
              ( ( eats(Y,Chicken)
                & alive(Y) )
             => likes(Y,X) ) )
       => likes(John,Peanuts) ),
    inference(negate,[status(cth)],[prove_this]) ).

fof(f_1_2,negated_conjecture,
    ? [Peanuts,John,Bill,Sue,Apples,Chicken] :
      ( ~ likes(John,Peanuts)
      & ! [Y] :
          ( ! [X] : not_killed_by(Y,X)
          | ~ alive(Y) )
      & ! [X] :
          ( eats(Sue,X)
          | ~ eats(Bill,X) )
      & alive(Bill)
      & eats(Bill,Peanuts)
      & ! [X] :
          ( food(X)
          | ! [Y] :
              ( ~ not_killed_by(Y,X)
              | ~ eats(Y,X) ) )
      & food(Chicken)
      & food(Apples)
      & ! [X] :
          ( likes(John,X)
          | ~ food(X) )
      & ! [X,Y] :
          ( likes(Y,X)
          | ~ eats(Y,Chicken)
          | ~ alive(Y) ) ),
    inference(fof_nnf,[status(thm)],[f_1_1]) ).

fof(f_1_3,negated_conjecture,
    ? [U_13,U_12,U_11,U_10,U_9,U_8] :
      ( ~ likes(U_12,U_13)
      & ! [U_7] :
          ( ! [U_6] : not_killed_by(U_7,U_6)
          | ~ alive(U_7) )
      & ! [U_5] :
          ( eats(U_10,U_5)
          | ~ eats(U_11,U_5) )
      & alive(U_11)
      & eats(U_11,U_13)
      & ! [U_4] :
          ( food(U_4)
          | ! [U_3] :
              ( ~ not_killed_by(U_3,U_4)
              | ~ eats(U_3,U_4) ) )
      & food(U_8)
      & food(U_9)
      & ! [U_2] :
          ( likes(U_12,U_2)
          | ~ food(U_2) )
      & ! [U_1,U_0] :
          ( likes(U_0,U_1)
          | ~ eats(U_0,U_8)
          | ~ alive(U_0) ) ),
    inference(variable_rename,[status(thm)],[f_1_2]) ).

fof(f_1_4,negated_conjecture,
    ? [U_13,U_12] :
      ( ? [U_11] :
          ( ? [U_10] :
            ! [U_5] :
              ( eats(U_10,U_5)
              | ~ eats(U_11,U_5) )
          & alive(U_11)
          & eats(U_11,U_13) )
      & ? [U_9] : food(U_9)
      & ? [U_8] :
          ( food(U_8)
          & ! [U_1,U_0] :
              ( likes(U_0,U_1)
              | ~ eats(U_0,U_8)
              | ~ alive(U_0) ) )
      & ! [U_7] :
          ( ! [U_6] : not_killed_by(U_7,U_6)
          | ~ alive(U_7) )
      & ! [U_4] :
          ( food(U_4)
          | ! [U_3] :
              ( ~ not_killed_by(U_3,U_4)
              | ~ eats(U_3,U_4) ) )
      & ! [U_2] :
          ( likes(U_12,U_2)
          | ~ food(U_2) )
      & ~ likes(U_12,U_13) ),
    inference(miniscope,[status(thm)],[f_1_3]) ).

fof(f_1_5,negated_conjecture,
    ? [U_12] :
      ( ? [U_11] :
          ( ? [U_10] :
            ! [U_5] :
              ( eats(U_10,U_5)
              | ~ eats(U_11,U_5) )
          & alive(U_11)
          & eats(U_11,sK1) )
      & ? [U_9] : food(U_9)
      & ? [U_8] :
          ( food(U_8)
          & ! [U_1,U_0] :
              ( likes(U_0,U_1)
              | ~ eats(U_0,U_8)
              | ~ alive(U_0) ) )
      & ! [U_7] :
          ( ! [U_6] : not_killed_by(U_7,U_6)
          | ~ alive(U_7) )
      & ! [U_4] :
          ( food(U_4)
          | ! [U_3] :
              ( ~ not_killed_by(U_3,U_4)
              | ~ eats(U_3,U_4) ) )
      & ! [U_2] :
          ( likes(U_12,U_2)
          | ~ food(U_2) )
      & ~ likes(U_12,sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_13,sK1)],[f_1_4]) ).

fof(f_1_6,negated_conjecture,
    ( ? [U_11] :
        ( ? [U_10] :
          ! [U_5] :
            ( eats(U_10,U_5)
            | ~ eats(U_11,U_5) )
        & alive(U_11)
        & eats(U_11,sK1) )
    & ? [U_9] : food(U_9)
    & ? [U_8] :
        ( food(U_8)
        & ! [U_1,U_0] :
            ( likes(U_0,U_1)
            | ~ eats(U_0,U_8)
            | ~ alive(U_0) ) )
    & ! [U_7] :
        ( ! [U_6] : not_killed_by(U_7,U_6)
        | ~ alive(U_7) )
    & ! [U_4] :
        ( food(U_4)
        | ! [U_3] :
            ( ~ not_killed_by(U_3,U_4)
            | ~ eats(U_3,U_4) ) )
    & ! [U_2] :
        ( likes(sK2,U_2)
        | ~ food(U_2) )
    & ~ likes(sK2,sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_12,sK2)],[f_1_5]) ).

fof(f_1_7,negated_conjecture,
    ( ? [U_11] :
        ( ? [U_10] :
          ! [U_5] :
            ( eats(U_10,U_5)
            | ~ eats(U_11,U_5) )
        & alive(U_11)
        & eats(U_11,sK1) )
    & ? [U_9] : food(U_9)
    & food(sK3)
    & ! [U_1,U_0] :
        ( likes(U_0,U_1)
        | ~ eats(U_0,sK3)
        | ~ alive(U_0) )
    & ! [U_7] :
        ( ! [U_6] : not_killed_by(U_7,U_6)
        | ~ alive(U_7) )
    & ! [U_4] :
        ( food(U_4)
        | ! [U_3] :
            ( ~ not_killed_by(U_3,U_4)
            | ~ eats(U_3,U_4) ) )
    & ! [U_2] :
        ( likes(sK2,U_2)
        | ~ food(U_2) )
    & ~ likes(sK2,sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_8,sK3)],[f_1_6]) ).

fof(f_1_8,negated_conjecture,
    ( ? [U_11] :
        ( ? [U_10] :
          ! [U_5] :
            ( eats(U_10,U_5)
            | ~ eats(U_11,U_5) )
        & alive(U_11)
        & eats(U_11,sK1) )
    & food(sK4)
    & food(sK3)
    & ! [U_1,U_0] :
        ( likes(U_0,U_1)
        | ~ eats(U_0,sK3)
        | ~ alive(U_0) )
    & ! [U_7] :
        ( ! [U_6] : not_killed_by(U_7,U_6)
        | ~ alive(U_7) )
    & ! [U_4] :
        ( food(U_4)
        | ! [U_3] :
            ( ~ not_killed_by(U_3,U_4)
            | ~ eats(U_3,U_4) ) )
    & ! [U_2] :
        ( likes(sK2,U_2)
        | ~ food(U_2) )
    & ~ likes(sK2,sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_9,sK4)],[f_1_7]) ).

fof(f_1_9,negated_conjecture,
    ( ? [U_10] :
      ! [U_5] :
        ( eats(U_10,U_5)
        | ~ eats(sK5,U_5) )
    & alive(sK5)
    & eats(sK5,sK1)
    & food(sK4)
    & food(sK3)
    & ! [U_1,U_0] :
        ( likes(U_0,U_1)
        | ~ eats(U_0,sK3)
        | ~ alive(U_0) )
    & ! [U_7] :
        ( ! [U_6] : not_killed_by(U_7,U_6)
        | ~ alive(U_7) )
    & ! [U_4] :
        ( food(U_4)
        | ! [U_3] :
            ( ~ not_killed_by(U_3,U_4)
            | ~ eats(U_3,U_4) ) )
    & ! [U_2] :
        ( likes(sK2,U_2)
        | ~ food(U_2) )
    & ~ likes(sK2,sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_11,sK5)],[f_1_8]) ).

fof(f_1_10,negated_conjecture,
    ( ! [U_5] :
        ( eats(sK6,U_5)
        | ~ eats(sK5,U_5) )
    & alive(sK5)
    & eats(sK5,sK1)
    & food(sK4)
    & food(sK3)
    & ! [U_1,U_0] :
        ( likes(U_0,U_1)
        | ~ eats(U_0,sK3)
        | ~ alive(U_0) )
    & ! [U_7] :
        ( ! [U_6] : not_killed_by(U_7,U_6)
        | ~ alive(U_7) )
    & ! [U_4] :
        ( food(U_4)
        | ! [U_3] :
            ( ~ not_killed_by(U_3,U_4)
            | ~ eats(U_3,U_4) ) )
    & ! [U_2] :
        ( likes(sK2,U_2)
        | ~ food(U_2) )
    & ~ likes(sK2,sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_10,sK6)],[f_1_9]) ).

fof(f_1_11,negated_conjecture,
    ( ! [U_5] :
        ( eats(sK6,U_5)
        | ~ eats(sK5,U_5) )
    & alive(sK5)
    & eats(sK5,sK1)
    & food(sK4)
    & food(sK3)
    & ! [U_1,U_0] :
        ( likes(U_0,U_1)
        | ~ eats(U_0,sK3)
        | ~ alive(U_0) )
    & ! [U_7,U_6] :
        ( not_killed_by(U_7,U_6)
        | ~ alive(U_7) )
    & ! [U_3,U_4] :
        ( food(U_4)
        | ~ not_killed_by(U_3,U_4)
        | ~ eats(U_3,U_4) )
    & ! [U_2] :
        ( likes(sK2,U_2)
        | ~ food(U_2) )
    & ~ likes(sK2,sK1) ),
    inference(definitional_conversion,[status(esa)],[f_1_10]) ).

cnf(f_1_12,negated_conjecture,
    ~ likes(sK2,sK1),
    inference(clausify,[status(thm)],[f_1_11]) ).

cnf(f_1_13,negated_conjecture,
    ( likes(sK2,U_2)
    | ~ food(U_2) ),
    inference(clausify,[status(thm)],[f_1_11]) ).

cnf(f_1_14,negated_conjecture,
    ( food(U_4)
    | ~ not_killed_by(U_3,U_4)
    | ~ eats(U_3,U_4) ),
    inference(clausify,[status(thm)],[f_1_11]) ).

cnf(f_1_15,negated_conjecture,
    ( not_killed_by(U_7,U_6)
    | ~ alive(U_7) ),
    inference(clausify,[status(thm)],[f_1_11]) ).

cnf(f_1_16,negated_conjecture,
    ( likes(U_0,U_1)
    | ~ eats(U_0,sK3)
    | ~ alive(U_0) ),
    inference(clausify,[status(thm)],[f_1_11]) ).

cnf(f_1_17,negated_conjecture,
    food(sK3),
    inference(clausify,[status(thm)],[f_1_11]) ).

cnf(f_1_18,negated_conjecture,
    food(sK4),
    inference(clausify,[status(thm)],[f_1_11]) ).

cnf(f_1_19,negated_conjecture,
    eats(sK5,sK1),
    inference(clausify,[status(thm)],[f_1_11]) ).

cnf(f_1_20,negated_conjecture,
    alive(sK5),
    inference(clausify,[status(thm)],[f_1_11]) ).

cnf(f_1_21,negated_conjecture,
    ( eats(sK6,U_5)
    | ~ eats(sK5,U_5) ),
    inference(clausify,[status(thm)],[f_1_11]) ).

cnf(sat_proved,plain,
    $false,
    inference(cadical,[status(thm)],[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ061+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03  This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n017.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sat Sep 19 19:56:24 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.39  % SZS status Theorem for theBenchmark
% 0.10/0.39  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------