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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : CSR068+2 : TPTP v9.3.1. Released v3.4.0.
% 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 : n014.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 3.96s 4.22s
% Output   : Proof 3.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   30 (  17 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   43 (  20   ~;  16   |;   4   &)
%                                         (   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(ax1_80,axiom,
    ! [INS] :
      ( ( furpelt(INS)
        & mtvisible(c_tptp_spindleheadmt) )
     => tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
    file('CSR002+1.ax',ax1_80) ).

fof(ax1_260,axiom,
    furpelt(c_theprototypicalfurpelt),
    file('CSR002+1.ax',ax1_260) ).

fof(ax1_446,axiom,
    genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
    file('CSR002+1.ax',ax1_446) ).

fof(ax1_1123,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('CSR002+1.ax',ax1_1123) ).

fof(query118,conjecture,
    ( mtvisible(c_tptp_member2356_mt)
   => tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
    file('theBenchmark.p',query118) ).

fof(f_80_1,plain,
    ! [INS] :
      ( tptpofobject(INS,f_tptpquantityfn_1(n_328))
      | ~ furpelt(INS)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(fof_nnf,[status(thm)],[ax1_80]) ).

fof(f_80_2,plain,
    ! [U_39] :
      ( tptpofobject(U_39,f_tptpquantityfn_1(n_328))
      | ~ furpelt(U_39)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(variable_rename,[status(thm)],[f_80_1]) ).

cnf(f_80_3,plain,
    ( tptpofobject(U_39,f_tptpquantityfn_1(n_328))
    | ~ furpelt(U_39)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(clausify,[status(thm)],[f_80_2]) ).

fof(f_260_1,plain,
    furpelt(c_theprototypicalfurpelt),
    inference(fof_nnf,[status(thm)],[ax1_260]) ).

cnf(f_260_2,plain,
    furpelt(c_theprototypicalfurpelt),
    inference(clausify,[status(thm)],[f_260_1]) ).

fof(f_446_1,plain,
    genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
    inference(fof_nnf,[status(thm)],[ax1_446]) ).

cnf(f_446_2,plain,
    genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
    inference(clausify,[status(thm)],[f_446_1]) ).

fof(f_1123_1,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(fof_nnf,[status(thm)],[ax1_1123]) ).

fof(f_1123_2,plain,
    ! [U_1107,U_1106] :
      ( mtvisible(U_1106)
      | ~ genlmt(U_1107,U_1106)
      | ~ mtvisible(U_1107) ),
    inference(variable_rename,[status(thm)],[f_1123_1]) ).

cnf(f_1123_3,plain,
    ( mtvisible(U_1106)
    | ~ genlmt(U_1107,U_1106)
    | ~ mtvisible(U_1107) ),
    inference(clausify,[status(thm)],[f_1123_2]) ).

fof(f_1132_1,negated_conjecture,
    ( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
    & mtvisible(c_tptp_member2356_mt) ),
    inference(negate,[status(cth)],[query118]) ).

fof(f_1132_2,negated_conjecture,
    ( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
    & mtvisible(c_tptp_member2356_mt) ),
    inference(definitional_conversion,[status(esa)],[f_1132_1]) ).

cnf(f_1132_3,negated_conjecture,
    mtvisible(c_tptp_member2356_mt),
    inference(clausify,[status(thm)],[f_1132_2]) ).

cnf(f_1132_4,negated_conjecture,
    ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
    inference(clausify,[status(thm)],[f_1132_2]) ).

cnf(t1,plain,
    ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
    inference(start,[status(thm),parent(0:0)],[f_1132_4]) ).

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_80_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_1123_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_1132_3]) ).

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_446_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_260_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+2 : 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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36  % Computer : n014.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Sun Sep 20 16:15:49 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 3.96/4.22  % SZS status Theorem for theBenchmark
% 3.96/4.22  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------