TSTP Solution File: PUZ060+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PUZ060+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 13:12:26 EDT 2023

% Result   : Theorem 0.19s 0.61s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   23 (   5 unt;  11 typ;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :   60 (  15   ~;  11   |;  24   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   5   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   37 (   1 sgn;  28   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    food: $i > $o ).

tff(decl_23,type,
    likes: ( $i * $i ) > $o ).

tff(decl_24,type,
    eats: ( $i * $i ) > $o ).

tff(decl_25,type,
    not_killed_by: ( $i * $i ) > $o ).

tff(decl_26,type,
    alive: $i > $o ).

tff(decl_27,type,
    esk1_0: $i ).

tff(decl_28,type,
    esk2_0: $i ).

tff(decl_29,type,
    esk3_0: $i ).

tff(decl_30,type,
    esk4_0: $i ).

tff(decl_31,type,
    esk5_0: $i ).

tff(decl_32,type,
    esk6_0: $i ).

fof(prove_this,conjecture,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( ! [X7] :
            ( food(X7)
           => likes(X2,X7) )
        & food(X5)
        & food(X6)
        & ! [X7] :
            ( ? [X8] :
                ( eats(X8,X7)
                & not_killed_by(X8,X7) )
           => food(X7) )
        & eats(X3,X1)
        & alive(X3)
        & ! [X7] :
            ( eats(X3,X7)
           => eats(X4,X7) )
        & ! [X8] :
            ( alive(X8)
           => ! [X7] : not_killed_by(X8,X7) ) )
     => likes(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(c_0_1,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6] :
        ( ( ! [X7] :
              ( food(X7)
             => likes(X2,X7) )
          & food(X5)
          & food(X6)
          & ! [X7] :
              ( ? [X8] :
                  ( eats(X8,X7)
                  & not_killed_by(X8,X7) )
             => food(X7) )
          & eats(X3,X1)
          & alive(X3)
          & ! [X7] :
              ( eats(X3,X7)
             => eats(X4,X7) )
          & ! [X8] :
              ( alive(X8)
             => ! [X7] : not_killed_by(X8,X7) ) )
       => likes(X2,X1) ),
    inference(assume_negation,[status(cth)],[prove_this]) ).

fof(c_0_2,negated_conjecture,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ( ~ food(X15)
        | likes(esk2_0,X15) )
      & food(esk5_0)
      & food(esk6_0)
      & ( ~ eats(X17,X16)
        | ~ not_killed_by(X17,X16)
        | food(X16) )
      & eats(esk3_0,esk1_0)
      & alive(esk3_0)
      & ( ~ eats(esk3_0,X18)
        | eats(esk4_0,X18) )
      & ( ~ alive(X19)
        | not_killed_by(X19,X20) )
      & ~ likes(esk2_0,esk1_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( food(X2)
    | ~ eats(X1,X2)
    | ~ not_killed_by(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( not_killed_by(X1,X2)
    | ~ alive(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ~ likes(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ( likes(esk2_0,X1)
    | ~ food(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ( food(X1)
    | ~ alive(X2)
    | ~ eats(X2,X1) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    eats(esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,negated_conjecture,
    alive(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    ~ food(esk1_0),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PUZ060+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sat Aug 26 22:42:45 EDT 2023
% 0.19/0.34  % CPUTime  : 
% 0.19/0.59  start to proof: theBenchmark
% 0.19/0.61  % Version  : CSE_E---1.5
% 0.19/0.61  % Problem  : theBenchmark.p
% 0.19/0.61  % Proof found
% 0.19/0.61  % SZS status Theorem for theBenchmark.p
% 0.19/0.61  % SZS output start Proof
% See solution above
% 0.19/0.61  % Total time : 0.004000 s
% 0.19/0.61  % SZS output end Proof
% 0.19/0.61  % Total time : 0.006000 s
%------------------------------------------------------------------------------