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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SYN733+1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n008.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 09:10:59 AM UTC 2026

% Result   : Theorem 0.10s 5.39s
% Output   : Proof 0.10s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(y2141,conjecture,
    ( ! [X] :
      ? [Y] :
        ( ( q(X)
          | q(Y) )
        & p(X) )
   => ? [Z] :
        ( q(Z)
        & p(Z) ) ),
    file('theBenchmark.p',y2141) ).

fof(f_1_1,negated_conjecture,
    ( ~ ? [Z] :
          ( q(Z)
          & p(Z) )
    & ! [X] :
      ? [Y] :
        ( ( q(X)
          | q(Y) )
        & p(X) ) ),
    inference(negate,[status(cth)],[y2141]) ).

fof(f_1_2,negated_conjecture,
    ( ! [Z] :
        ( ~ q(Z)
        | ~ p(Z) )
    & ! [X] :
      ? [Y] :
        ( ( q(X)
          | q(Y) )
        & p(X) ) ),
    inference(fof_nnf,[status(thm)],[f_1_1]) ).

fof(f_1_3,negated_conjecture,
    ( ! [U_2] :
        ( ~ q(U_2)
        | ~ p(U_2) )
    & ! [U_1] :
      ? [U_0] :
        ( ( q(U_1)
          | q(U_0) )
        & p(U_1) ) ),
    inference(variable_rename,[status(thm)],[f_1_2]) ).

fof(f_1_4,negated_conjecture,
    ( ! [U_2] :
        ( ~ q(U_2)
        | ~ p(U_2) )
    & ( ! [U_4] : q(U_4)
      | ? [U_0] : q(U_0) )
    & ! [U_3] : p(U_3) ),
    inference(miniscope,[status(thm)],[f_1_3]) ).

fof(f_1_5,negated_conjecture,
    ( ! [U_2] :
        ( ~ q(U_2)
        | ~ p(U_2) )
    & ( ! [U_4] : q(U_4)
      | q(sK1) )
    & ! [U_3] : p(U_3) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_0,sK1)],[f_1_4]) ).

fof(f_1_6,negated_conjecture,
    ( ! [U_2] :
        ( ~ q(U_2)
        | ~ p(U_2) )
    & ! [U_4] :
        ( q(U_4)
        | q(sK1) )
    & ! [U_3] : p(U_3) ),
    inference(definitional_conversion,[status(esa)],[f_1_5]) ).

cnf(f_1_7,negated_conjecture,
    p(U_3),
    inference(clausify,[status(thm)],[f_1_6]) ).

cnf(f_1_8,negated_conjecture,
    ( q(U_4)
    | q(sK1) ),
    inference(clausify,[status(thm)],[f_1_6]) ).

cnf(f_1_9,negated_conjecture,
    ( ~ q(U_2)
    | ~ p(U_2) ),
    inference(clausify,[status(thm)],[f_1_6]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN733+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03  This is a FOF_THM_RFO_NEQ problem
% 0.00/0.03  % Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37  % Computer : n008.cluster.edu
% 0.10/5.37  % Model    : x86_64 x86_64
% 0.10/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37  % Memory   : 8046.5625MB
% 0.10/5.37  % OS       : Linux 6.8.0-71-generic
% 0.10/5.37  % CPULimit : 300
% 0.10/5.37  % WCLimit  : 300
% 0.10/5.37  % DateTime : Sun Sep 20 07:08:29 UTC 2026
% 0.10/5.37  % CPUTime  : 
% 0.10/5.39  % SZS status Theorem for theBenchmark
% 0.10/5.39  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------