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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SYN062+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n015.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 09:09:21 AM UTC 2026

% Result   : Theorem 0.09s 0.39s
% Output   : Proof 0.09s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(pel32_1,axiom,
    ! [X] :
      ( ( ( big_h(X)
          | big_g(X) )
        & big_f(X) )
     => big_i(X) ),
    file('theBenchmark.p',pel32_1) ).

fof(pel32_2,axiom,
    ! [X] :
      ( ( big_h(X)
        & big_i(X) )
     => big_j(X) ),
    file('theBenchmark.p',pel32_2) ).

fof(pel32_3,axiom,
    ! [X] :
      ( big_k(X)
     => big_h(X) ),
    file('theBenchmark.p',pel32_3) ).

fof(pel32,conjecture,
    ! [X] :
      ( ( big_k(X)
        & big_f(X) )
     => big_j(X) ),
    file('theBenchmark.p',pel32) ).

fof(f_1_1,plain,
    ! [X] :
      ( big_i(X)
      | ( ~ big_h(X)
        & ~ big_g(X) )
      | ~ big_f(X) ),
    inference(fof_nnf,[status(thm)],[pel32_1]) ).

fof(f_1_2,plain,
    ! [U_0] :
      ( big_i(U_0)
      | ( ~ big_h(U_0)
        & ~ big_g(U_0) )
      | ~ big_f(U_0) ),
    inference(variable_rename,[status(thm)],[f_1_1]) ).

cnf(f_1_3,plain,
    ( ~ big_g(U_0)
    | ~ big_f(U_0)
    | big_i(U_0) ),
    inference(clausify,[status(thm)],[f_1_2]) ).

cnf(f_1_4,plain,
    ( ~ big_h(U_0)
    | ~ big_f(U_0)
    | big_i(U_0) ),
    inference(clausify,[status(thm)],[f_1_2]) ).

fof(f_2_1,plain,
    ! [X] :
      ( big_j(X)
      | ~ big_h(X)
      | ~ big_i(X) ),
    inference(fof_nnf,[status(thm)],[pel32_2]) ).

fof(f_2_2,plain,
    ! [U_1] :
      ( big_j(U_1)
      | ~ big_h(U_1)
      | ~ big_i(U_1) ),
    inference(variable_rename,[status(thm)],[f_2_1]) ).

cnf(f_2_3,plain,
    ( big_j(U_1)
    | ~ big_h(U_1)
    | ~ big_i(U_1) ),
    inference(clausify,[status(thm)],[f_2_2]) ).

fof(f_3_1,plain,
    ! [X] :
      ( big_h(X)
      | ~ big_k(X) ),
    inference(fof_nnf,[status(thm)],[pel32_3]) ).

fof(f_3_2,plain,
    ! [U_2] :
      ( big_h(U_2)
      | ~ big_k(U_2) ),
    inference(variable_rename,[status(thm)],[f_3_1]) ).

cnf(f_3_3,plain,
    ( big_h(U_2)
    | ~ big_k(U_2) ),
    inference(clausify,[status(thm)],[f_3_2]) ).

fof(f_4_1,negated_conjecture,
    ~ ! [X] :
        ( ( big_k(X)
          & big_f(X) )
       => big_j(X) ),
    inference(negate,[status(cth)],[pel32]) ).

fof(f_4_2,negated_conjecture,
    ? [X] :
      ( ~ big_j(X)
      & big_k(X)
      & big_f(X) ),
    inference(fof_nnf,[status(thm)],[f_4_1]) ).

fof(f_4_3,negated_conjecture,
    ? [U_3] :
      ( ~ big_j(U_3)
      & big_k(U_3)
      & big_f(U_3) ),
    inference(variable_rename,[status(thm)],[f_4_2]) ).

fof(f_4_4,negated_conjecture,
    ( ~ big_j(sK1)
    & big_k(sK1)
    & big_f(sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_3,sK1)],[f_4_3]) ).

fof(f_4_5,negated_conjecture,
    ( ~ big_j(sK1)
    & big_k(sK1)
    & big_f(sK1) ),
    inference(definitional_conversion,[status(esa)],[f_4_4]) ).

cnf(f_4_6,negated_conjecture,
    big_f(sK1),
    inference(clausify,[status(thm)],[f_4_5]) ).

cnf(f_4_7,negated_conjecture,
    big_k(sK1),
    inference(clausify,[status(thm)],[f_4_5]) ).

cnf(f_4_8,negated_conjecture,
    ~ big_j(sK1),
    inference(clausify,[status(thm)],[f_4_5]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN062+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03  This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n015.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 20 06:26:49 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.39  % SZS status Theorem for theBenchmark
% 0.09/0.39  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------