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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : CSR065+2 : 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 : n004.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 08:31:16 AM UTC 2026

% Result   : Theorem 124.05s 124.35s
% Output   : Proof 124.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   57 (  33 unt;   0 def)
%            Number of atoms       :   98 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   76 (  35   ~;  31   |;   5   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-1 aty)
%            Number of variables   :   24 (   0 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax1_25,axiom,
    ( mtvisible(c_cyclistsmt)
   => ridgeline_topographical(c_tptpridgeline_topographical) ),
    file('CSR002+1.ax',ax1_25) ).

fof(ax1_105,axiom,
    ! [INS] :
      ( ( ridgeline_topographical(INS)
        & mtvisible(c_tptp_member235_mt) )
     => tptpofobject(INS,f_tptpquantityfn_13(n_468)) ),
    file('CSR002+1.ax',ax1_105) ).

fof(ax1_254,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('CSR002+1.ax',ax1_254) ).

fof(ax1_315,axiom,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    file('CSR002+1.ax',ax1_315) ).

fof(ax1_364,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    file('CSR002+1.ax',ax1_364) ).

fof(ax1_419,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    file('CSR002+1.ax',ax1_419) ).

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

fof(ax1_1128,axiom,
    ! [X,Y,Z] :
      ( ( genlmt(Y,Z)
        & genlmt(X,Y) )
     => genlmt(X,Z) ),
    file('CSR002+1.ax',ax1_1128) ).

fof(query115,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    file('theBenchmark.p',query115) ).

fof(f_25_1,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(fof_nnf,[status(thm)],[ax1_25]) ).

cnf(f_25_2,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(clausify,[status(thm)],[f_25_1]) ).

fof(f_105_1,plain,
    ! [INS] :
      ( tptpofobject(INS,f_tptpquantityfn_13(n_468))
      | ~ ridgeline_topographical(INS)
      | ~ mtvisible(c_tptp_member235_mt) ),
    inference(fof_nnf,[status(thm)],[ax1_105]) ).

fof(f_105_2,plain,
    ! [U_47] :
      ( tptpofobject(U_47,f_tptpquantityfn_13(n_468))
      | ~ ridgeline_topographical(U_47)
      | ~ mtvisible(c_tptp_member235_mt) ),
    inference(variable_rename,[status(thm)],[f_105_1]) ).

cnf(f_105_3,plain,
    ( tptpofobject(U_47,f_tptpquantityfn_13(n_468))
    | ~ ridgeline_topographical(U_47)
    | ~ mtvisible(c_tptp_member235_mt) ),
    inference(clausify,[status(thm)],[f_105_2]) ).

fof(f_254_1,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(fof_nnf,[status(thm)],[ax1_254]) ).

cnf(f_254_2,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(clausify,[status(thm)],[f_254_1]) ).

fof(f_315_1,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(fof_nnf,[status(thm)],[ax1_315]) ).

cnf(f_315_2,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(clausify,[status(thm)],[f_315_1]) ).

fof(f_364_1,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(fof_nnf,[status(thm)],[ax1_364]) ).

cnf(f_364_2,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(clausify,[status(thm)],[f_364_1]) ).

fof(f_419_1,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    inference(fof_nnf,[status(thm)],[ax1_419]) ).

cnf(f_419_2,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    inference(clausify,[status(thm)],[f_419_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_1128_1,plain,
    ! [X,Y,Z] :
      ( genlmt(X,Z)
      | ~ genlmt(Y,Z)
      | ~ genlmt(X,Y) ),
    inference(fof_nnf,[status(thm)],[ax1_1128]) ).

fof(f_1128_2,plain,
    ! [U_1118,U_1117,U_1116] :
      ( genlmt(U_1118,U_1116)
      | ~ genlmt(U_1117,U_1116)
      | ~ genlmt(U_1118,U_1117) ),
    inference(variable_rename,[status(thm)],[f_1128_1]) ).

cnf(f_1128_3,plain,
    ( genlmt(U_1118,U_1116)
    | ~ genlmt(U_1117,U_1116)
    | ~ genlmt(U_1118,U_1117) ),
    inference(clausify,[status(thm)],[f_1128_2]) ).

fof(f_1132_1,negated_conjecture,
    ( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(negate,[status(cth)],[query115]) ).

fof(f_1132_2,negated_conjecture,
    ( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(definitional_conversion,[status(esa)],[f_1132_1]) ).

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

cnf(f_1132_4,negated_conjecture,
    ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
    inference(clausify,[status(thm)],[f_1132_2]) ).

cnf(t1,plain,
    ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
    inference(start,[status(thm),parent(0:0)],[f_1132_4]) ).

cnf(t2,plain,
    ( ~ ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_tptp_member235_mt)
    | tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    inference(extension,[status(thm),parent(t1:1)],[f_105_3]) ).

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

cnf(t4,plain,
    ( ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member235_mt) ),
    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_spindlecollectormt),
    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_spindlecollectormt,c_tptp_member235_mt),
    inference(extension,[status(thm),parent(t4:3)],[f_419_2]) ).

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

cnf(t10,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | ridgeline_topographical(c_tptpridgeline_topographical) ),
    inference(extension,[status(thm),parent(t2:3)],[f_25_2]) ).

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

cnf(t12,plain,
    ( ~ genlmt(c_tptp_member3993_mt,c_cyclistsmt)
    | ~ mtvisible(c_tptp_member3993_mt)
    | mtvisible(c_cyclistsmt) ),
    inference(extension,[status(thm),parent(t10:2)],[f_1123_3]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).

cnf(t14,plain,
    ( ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member3993_mt) ),
    inference(extension,[status(thm),parent(t12:2)],[f_1123_3]) ).

cnf(t15,plain,
    $false,
    inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).

cnf(t16,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(extension,[status(thm),parent(t14:2)],[f_1132_3]) ).

cnf(t17,plain,
    $false,
    inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).

cnf(t18,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(extension,[status(thm),parent(t14:3)],[f_364_2]) ).

cnf(t19,plain,
    $false,
    inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).

cnf(t20,plain,
    ( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
    | ~ genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt)
    | genlmt(c_tptp_member3993_mt,c_cyclistsmt) ),
    inference(extension,[status(thm),parent(t12:3)],[f_1128_3]) ).

cnf(t21,plain,
    $false,
    inference(connection,[status(thm),parent(t20:1)],[t20:1,t12:3]) ).

cnf(t22,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(extension,[status(thm),parent(t20:2)],[f_315_2]) ).

cnf(t23,plain,
    $false,
    inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).

cnf(t24,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(extension,[status(thm),parent(t20:3)],[f_254_2]) ).

cnf(t25,plain,
    $false,
    inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR065+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02  This is a FOF_THM_RFO_NEQ problem
% 0.00/0.03  % 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 : n004.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 16:12:05 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 124.05/124.35  % SZS status Theorem for theBenchmark
% 124.05/124.35  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------