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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : PUZ128+1 : TPTP v9.3.1. Released v4.0.0.
% 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 08:54:30 AM UTC 2026

% Result   : Theorem 0.09s 0.40s
% Output   : Proof 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   40 (  31 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   55 (  28   ~;  21   |;   6   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   14 (   0 sgn   8   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(iokaste_oedipus,axiom,
    parent_of(iokaste,oedipus),
    file('theBenchmark.p',iokaste_oedipus) ).

fof(iokaste_polyneikes,axiom,
    parent_of(iokaste,polyneikes),
    file('theBenchmark.p',iokaste_polyneikes) ).

fof(oedipus_polyneikes,axiom,
    parent_of(oedipus,polyneikes),
    file('theBenchmark.p',oedipus_polyneikes) ).

fof(polyneikes_thersandros,axiom,
    parent_of(polyneikes,thersandros),
    file('theBenchmark.p',polyneikes_thersandros) ).

fof(oedipus_patricidal,axiom,
    patricide(oedipus),
    file('theBenchmark.p',oedipus_patricidal) ).

fof(thersandros_not_patricidal,axiom,
    ~ patricide(thersandros),
    file('theBenchmark.p',thersandros_not_patricidal) ).

fof(iokaste_parent_particide_parent_not_patricide,conjecture,
    ? [P,NP] :
      ( ~ patricide(NP)
      & parent_of(P,NP)
      & patricide(P)
      & parent_of(iokaste,P) ),
    file('theBenchmark.p',iokaste_parent_particide_parent_not_patricide) ).

fof(f_1_1,plain,
    parent_of(iokaste,oedipus),
    inference(fof_nnf,[status(thm)],[iokaste_oedipus]) ).

cnf(f_1_2,plain,
    parent_of(iokaste,oedipus),
    inference(clausify,[status(thm)],[f_1_1]) ).

fof(f_2_1,plain,
    parent_of(iokaste,polyneikes),
    inference(fof_nnf,[status(thm)],[iokaste_polyneikes]) ).

cnf(f_2_2,plain,
    parent_of(iokaste,polyneikes),
    inference(clausify,[status(thm)],[f_2_1]) ).

fof(f_3_1,plain,
    parent_of(oedipus,polyneikes),
    inference(fof_nnf,[status(thm)],[oedipus_polyneikes]) ).

cnf(f_3_2,plain,
    parent_of(oedipus,polyneikes),
    inference(clausify,[status(thm)],[f_3_1]) ).

fof(f_4_1,plain,
    parent_of(polyneikes,thersandros),
    inference(fof_nnf,[status(thm)],[polyneikes_thersandros]) ).

cnf(f_4_2,plain,
    parent_of(polyneikes,thersandros),
    inference(clausify,[status(thm)],[f_4_1]) ).

fof(f_5_1,plain,
    patricide(oedipus),
    inference(fof_nnf,[status(thm)],[oedipus_patricidal]) ).

cnf(f_5_2,plain,
    patricide(oedipus),
    inference(clausify,[status(thm)],[f_5_1]) ).

fof(f_6_1,plain,
    ~ patricide(thersandros),
    inference(fof_nnf,[status(thm)],[thersandros_not_patricidal]) ).

cnf(f_6_2,plain,
    ~ patricide(thersandros),
    inference(clausify,[status(thm)],[f_6_1]) ).

fof(f_7_1,negated_conjecture,
    ~ ? [P,NP] :
        ( ~ patricide(NP)
        & parent_of(P,NP)
        & patricide(P)
        & parent_of(iokaste,P) ),
    inference(negate,[status(cth)],[iokaste_parent_particide_parent_not_patricide]) ).

fof(f_7_2,negated_conjecture,
    ! [P,NP] :
      ( patricide(NP)
      | ~ parent_of(P,NP)
      | ~ patricide(P)
      | ~ parent_of(iokaste,P) ),
    inference(fof_nnf,[status(thm)],[f_7_1]) ).

fof(f_7_3,negated_conjecture,
    ! [U_1,U_0] :
      ( patricide(U_0)
      | ~ parent_of(U_1,U_0)
      | ~ patricide(U_1)
      | ~ parent_of(iokaste,U_1) ),
    inference(variable_rename,[status(thm)],[f_7_2]) ).

fof(f_7_4,negated_conjecture,
    ! [U_1] :
      ( ! [U_0] :
          ( patricide(U_0)
          | ~ parent_of(U_1,U_0) )
      | ~ patricide(U_1)
      | ~ parent_of(iokaste,U_1) ),
    inference(miniscope,[status(thm)],[f_7_3]) ).

fof(f_7_5,negated_conjecture,
    ! [U_0,U_1] :
      ( patricide(U_0)
      | ~ parent_of(U_1,U_0)
      | ~ patricide(U_1)
      | ~ parent_of(iokaste,U_1) ),
    inference(definitional_conversion,[status(esa)],[f_7_4]) ).

cnf(f_7_6,negated_conjecture,
    ( patricide(U_0)
    | ~ parent_of(U_1,U_0)
    | ~ patricide(U_1)
    | ~ parent_of(iokaste,U_1) ),
    inference(clausify,[status(thm)],[f_7_5]) ).

cnf(t1,plain,
    ~ patricide(thersandros),
    inference(start,[status(thm),parent(0:0)],[f_6_2]) ).

cnf(t2,plain,
    ( ~ patricide(polyneikes)
    | ~ parent_of(polyneikes,thersandros)
    | ~ parent_of(iokaste,polyneikes)
    | patricide(thersandros) ),
    inference(extension,[status(thm),parent(t1:1)],[f_7_6]) ).

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

cnf(t4,plain,
    parent_of(iokaste,polyneikes),
    inference(extension,[status(thm),parent(t2:2)],[f_2_2]) ).

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

cnf(t6,plain,
    parent_of(polyneikes,thersandros),
    inference(extension,[status(thm),parent(t2:3)],[f_4_2]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).

cnf(t8,plain,
    ( ~ patricide(oedipus)
    | ~ parent_of(oedipus,polyneikes)
    | ~ parent_of(iokaste,oedipus)
    | patricide(polyneikes) ),
    inference(extension,[status(thm),parent(t2:4)],[f_7_6]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).

cnf(t10,plain,
    parent_of(iokaste,oedipus),
    inference(extension,[status(thm),parent(t8:2)],[f_1_2]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).

cnf(t12,plain,
    parent_of(oedipus,polyneikes),
    inference(extension,[status(thm),parent(t8:3)],[f_3_2]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).

cnf(t14,plain,
    patricide(oedipus),
    inference(extension,[status(thm),parent(t8:4)],[f_5_2]) ).

cnf(t15,plain,
    $false,
    inference(connection,[status(thm),parent(t14:1)],[t14:1,t8:4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ128+1 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.09/0.37  % Computer : n017.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sat Sep 19 19:59:55 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.40  % SZS status Theorem for theBenchmark
% 0.09/0.40  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------