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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : CSR068+3 : TPTP v9.3.1. Released v3.4.0.
% 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 : n003.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 08:32:33 AM UTC 2026

% Result   : Theorem 75.47s 75.71s
% Output   : Proof 75.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   29 (  17 unt;   0 def)
%            Number of atoms       :   51 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   41 (  19   ~;  16   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   12 (   0 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax2_2460,axiom,
    ! [INS] :
      ( ( furpelt(INS)
        & mtvisible(c_tptp_spindleheadmt) )
     => tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
    file('CSR002+2.ax',ax2_2460) ).

fof(ax2_2844,axiom,
    furpelt(c_theprototypicalfurpelt),
    file('CSR002+2.ax',ax2_2844) ).

fof(ax2_4137,axiom,
    genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
    file('CSR002+2.ax',ax2_4137) ).

fof(ax2_7997,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('CSR002+2.ax',ax2_7997) ).

fof(query168,conjecture,
    ( mtvisible(c_tptp_member2356_mt)
   => tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
    file('theBenchmark.p',query168) ).

fof(f_2460_1,plain,
    ! [INS] :
      ( tptpofobject(INS,f_tptpquantityfn_1(n_328))
      | ~ furpelt(INS)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(fof_nnf,[status(thm)],[ax2_2460]) ).

fof(f_2460_2,plain,
    ! [U_714] :
      ( tptpofobject(U_714,f_tptpquantityfn_1(n_328))
      | ~ furpelt(U_714)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(variable_rename,[status(thm)],[f_2460_1]) ).

cnf(f_2460_3,plain,
    ( tptpofobject(U_714,f_tptpquantityfn_1(n_328))
    | ~ furpelt(U_714)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(clausify,[status(thm)],[f_2460_2]) ).

fof(f_2844_1,plain,
    furpelt(c_theprototypicalfurpelt),
    inference(fof_nnf,[status(thm)],[ax2_2844]) ).

cnf(f_2844_2,plain,
    furpelt(c_theprototypicalfurpelt),
    inference(clausify,[status(thm)],[f_2844_1]) ).

fof(f_4137_1,plain,
    genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
    inference(fof_nnf,[status(thm)],[ax2_4137]) ).

cnf(f_4137_2,plain,
    genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
    inference(clausify,[status(thm)],[f_4137_1]) ).

fof(f_7997_1,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(fof_nnf,[status(thm)],[ax2_7997]) ).

fof(f_7997_2,plain,
    ! [U_5956,U_5955] :
      ( mtvisible(U_5955)
      | ~ genlmt(U_5956,U_5955)
      | ~ mtvisible(U_5956) ),
    inference(variable_rename,[status(thm)],[f_7997_1]) ).

cnf(f_7997_3,plain,
    ( mtvisible(U_5955)
    | ~ genlmt(U_5956,U_5955)
    | ~ mtvisible(U_5956) ),
    inference(clausify,[status(thm)],[f_7997_2]) ).

fof(f_8006_1,negated_conjecture,
    ( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
    & mtvisible(c_tptp_member2356_mt) ),
    inference(negate,[status(cth)],[query168]) ).

cnf(f_8006_2,negated_conjecture,
    mtvisible(c_tptp_member2356_mt),
    inference(clausify,[status(thm)],[f_8006_1]) ).

cnf(f_8006_3,negated_conjecture,
    ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
    inference(clausify,[status(thm)],[f_8006_1]) ).

cnf(t1,plain,
    ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
    inference(start,[status(thm),parent(0:0)],[f_8006_3]) ).

cnf(t2,plain,
    ( ~ furpelt(c_theprototypicalfurpelt)
    | ~ mtvisible(c_tptp_spindleheadmt)
    | tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
    inference(extension,[status(thm),parent(t1:1)],[f_2460_3]) ).

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

cnf(t4,plain,
    ( ~ genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member2356_mt)
    | mtvisible(c_tptp_spindleheadmt) ),
    inference(extension,[status(thm),parent(t2:2)],[f_7997_3]) ).

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

cnf(t6,plain,
    mtvisible(c_tptp_member2356_mt),
    inference(extension,[status(thm),parent(t4:2)],[f_8006_2]) ).

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

cnf(t8,plain,
    genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
    inference(extension,[status(thm),parent(t4:3)],[f_4137_2]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).

cnf(t10,plain,
    furpelt(c_theprototypicalfurpelt),
    inference(extension,[status(thm),parent(t2:3)],[f_2844_2]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR068+3 : TPTP v9.3.1. Released v3.4.0.
% 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
% 0.08/0.36  % Computer : n003.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Sun Sep 20 16:17:14 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 75.47/75.71  % SZS status Theorem for theBenchmark
% 75.47/75.71  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------