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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : MSC011+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/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 08:50:56 AM UTC 2026

% Result   : Theorem 0.14s 0.37s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   29 (  13 unt;   0 def)
%            Number of atoms       :   51 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   41 (  19   ~;  15   |;   5   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            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   :   13 (   1 sgn   8   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(d_cons,axiom,
    ! [A] :
      ( ( not_drunk(A)
        & drunk(A) )
     => goal ),
    file('theBenchmark.p',d_cons) ).

fof(neg_phi,axiom,
    ! [A] :
      ( neg_psi
      & drunk(A) ),
    file('theBenchmark.p',neg_phi) ).

fof(neg_psi_ax,axiom,
    ( neg_psi
   => ? [A] : not_drunk(A) ),
    file('theBenchmark.p',neg_psi_ax) ).

fof(goal_to_be_proved,conjecture,
    goal,
    file('theBenchmark.p',goal_to_be_proved) ).

fof(f_1_1,plain,
    ! [A] :
      ( goal
      | ~ not_drunk(A)
      | ~ drunk(A) ),
    inference(fof_nnf,[status(thm)],[d_cons]) ).

fof(f_1_2,plain,
    ! [U_0] :
      ( goal
      | ~ not_drunk(U_0)
      | ~ drunk(U_0) ),
    inference(variable_rename,[status(thm)],[f_1_1]) ).

fof(f_1_3,plain,
    ( ! [U_0] :
        ( ~ not_drunk(U_0)
        | ~ drunk(U_0) )
    | goal ),
    inference(miniscope,[status(thm)],[f_1_2]) ).

cnf(f_1_4,plain,
    ( ~ not_drunk(U_0)
    | ~ drunk(U_0)
    | goal ),
    inference(clausify,[status(thm)],[f_1_3]) ).

fof(f_2_1,plain,
    ! [A] :
      ( neg_psi
      & drunk(A) ),
    inference(fof_nnf,[status(thm)],[neg_phi]) ).

fof(f_2_2,plain,
    ! [U_1] :
      ( neg_psi
      & drunk(U_1) ),
    inference(variable_rename,[status(thm)],[f_2_1]) ).

fof(f_2_3,plain,
    ( ! [U_1] : drunk(U_1)
    & neg_psi ),
    inference(miniscope,[status(thm)],[f_2_2]) ).

cnf(f_2_4,plain,
    neg_psi,
    inference(clausify,[status(thm)],[f_2_3]) ).

cnf(f_2_5,plain,
    drunk(U_1),
    inference(clausify,[status(thm)],[f_2_3]) ).

fof(f_3_1,plain,
    ( ? [A] : not_drunk(A)
    | ~ neg_psi ),
    inference(fof_nnf,[status(thm)],[neg_psi_ax]) ).

fof(f_3_2,plain,
    ( ? [U_2] : not_drunk(U_2)
    | ~ neg_psi ),
    inference(variable_rename,[status(thm)],[f_3_1]) ).

fof(f_3_3,plain,
    ( not_drunk(sK1)
    | ~ neg_psi ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_2,sK1)],[f_3_2]) ).

cnf(f_3_4,plain,
    ( not_drunk(sK1)
    | ~ neg_psi ),
    inference(clausify,[status(thm)],[f_3_3]) ).

fof(f_4_1,negated_conjecture,
    ~ goal,
    inference(negate,[status(cth)],[goal_to_be_proved]) ).

fof(f_4_2,negated_conjecture,
    ~ goal,
    inference(definitional_conversion,[status(esa)],[f_4_1]) ).

cnf(f_4_3,negated_conjecture,
    ~ goal,
    inference(clausify,[status(thm)],[f_4_2]) ).

cnf(t1,plain,
    ~ goal,
    inference(start,[status(thm),parent(0:0)],[f_4_3]) ).

cnf(t2,plain,
    ( ~ drunk(sK1)
    | ~ not_drunk(sK1)
    | goal ),
    inference(extension,[status(thm),parent(t1:1)],[f_1_4]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    ( ~ neg_psi
    | not_drunk(sK1) ),
    inference(extension,[status(thm),parent(t2:2)],[f_3_4]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).

cnf(t6,plain,
    neg_psi,
    inference(extension,[status(thm),parent(t4:2)],[f_2_4]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).

cnf(t8,plain,
    drunk(sK1),
    inference(extension,[status(thm),parent(t2:3)],[f_2_5]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MSC011+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03  This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n017.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sat Sep 19 16:17:39 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.14/0.37  % SZS status Theorem for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------