TSTP Solution File: MSC011+1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MSC011+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n004.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 09:21:03 EDT 2023

% Result   : Theorem 0.20s 0.58s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  10   ~;   7   |;   3   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    9 (   3 sgn;   4   !;   1   ?;   0   :)

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

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

tff(decl_24,type,
    goal: $o ).

tff(decl_25,type,
    neg_psi: $o ).

tff(decl_26,type,
    esk1_0: $i ).

fof(d_cons,axiom,
    ! [X1] :
      ( ( drunk(X1)
        & not_drunk(X1) )
     => goal ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_cons) ).

fof(neg_phi,axiom,
    ! [X1] :
      ( drunk(X1)
      & neg_psi ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neg_phi) ).

fof(goal_to_be_proved,conjecture,
    goal,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).

fof(neg_psi_ax,axiom,
    ( neg_psi
   => ? [X1] : not_drunk(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neg_psi_ax) ).

fof(c_0_4,plain,
    ! [X2] :
      ( ~ drunk(X2)
      | ~ not_drunk(X2)
      | goal ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d_cons])]) ).

fof(c_0_5,plain,
    ! [X3] :
      ( drunk(X3)
      & neg_psi ),
    inference(variable_rename,[status(thm)],[neg_phi]) ).

cnf(c_0_6,plain,
    ( goal
    | ~ drunk(X1)
    | ~ not_drunk(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    drunk(X1),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_8,negated_conjecture,
    ~ goal,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goal_to_be_proved])]) ).

fof(c_0_9,plain,
    ( ~ neg_psi
    | not_drunk(esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[neg_psi_ax])])]) ).

cnf(c_0_10,plain,
    ( goal
    | ~ not_drunk(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).

cnf(c_0_11,negated_conjecture,
    ~ goal,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    ( not_drunk(esk1_0)
    | ~ neg_psi ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    neg_psi,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_14,plain,
    ~ not_drunk(X1),
    inference(sr,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),c_0_14]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MSC011+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 13:39:38 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.56  start to proof: theBenchmark
% 0.20/0.58  % Version  : CSE_E---1.5
% 0.20/0.58  % Problem  : theBenchmark.p
% 0.20/0.58  % Proof found
% 0.20/0.58  % SZS status Theorem for theBenchmark.p
% 0.20/0.58  % SZS output start Proof
% See solution above
% 0.20/0.58  % Total time : 0.004000 s
% 0.20/0.58  % SZS output end Proof
% 0.20/0.58  % Total time : 0.007000 s
%------------------------------------------------------------------------------