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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : CSR065+1 : 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 : n001.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 0.31s 0.58s
% Output   : Proof 0.31s
% 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(just5,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('theBenchmark.p',just5) ).

fof(just6,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    file('theBenchmark.p',just6) ).

fof(just7,axiom,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    file('theBenchmark.p',just7) ).

fof(just8,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    file('theBenchmark.p',just8) ).

fof(just9,axiom,
    ( mtvisible(c_cyclistsmt)
   => ridgeline_topographical(c_tptpridgeline_topographical) ),
    file('theBenchmark.p',just9) ).

fof(just10,axiom,
    ! [INS] :
      ( ( ridgeline_topographical(INS)
        & mtvisible(c_tptp_member235_mt) )
     => tptpofobject(INS,f_tptpquantityfn_13(n_468)) ),
    file('theBenchmark.p',just10) ).

fof(just48,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('theBenchmark.p',just48) ).

fof(just53,axiom,
    ! [X,Y,Z] :
      ( ( genlmt(Y,Z)
        & genlmt(X,Y) )
     => genlmt(X,Z) ),
    file('theBenchmark.p',just53) ).

fof(query65,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    file('theBenchmark.p',query65) ).

fof(f_5_1,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(fof_nnf,[status(thm)],[just5]) ).

cnf(f_5_2,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(clausify,[status(thm)],[f_5_1]) ).

fof(f_6_1,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    inference(fof_nnf,[status(thm)],[just6]) ).

cnf(f_6_2,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    inference(clausify,[status(thm)],[f_6_1]) ).

fof(f_7_1,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(fof_nnf,[status(thm)],[just7]) ).

cnf(f_7_2,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(clausify,[status(thm)],[f_7_1]) ).

fof(f_8_1,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(fof_nnf,[status(thm)],[just8]) ).

cnf(f_8_2,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(clausify,[status(thm)],[f_8_1]) ).

fof(f_9_1,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(fof_nnf,[status(thm)],[just9]) ).

cnf(f_9_2,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(clausify,[status(thm)],[f_9_1]) ).

fof(f_10_1,plain,
    ! [INS] :
      ( tptpofobject(INS,f_tptpquantityfn_13(n_468))
      | ~ ridgeline_topographical(INS)
      | ~ mtvisible(c_tptp_member235_mt) ),
    inference(fof_nnf,[status(thm)],[just10]) ).

fof(f_10_2,plain,
    ! [U_0] :
      ( tptpofobject(U_0,f_tptpquantityfn_13(n_468))
      | ~ ridgeline_topographical(U_0)
      | ~ mtvisible(c_tptp_member235_mt) ),
    inference(variable_rename,[status(thm)],[f_10_1]) ).

cnf(f_10_3,plain,
    ( tptpofobject(U_0,f_tptpquantityfn_13(n_468))
    | ~ ridgeline_topographical(U_0)
    | ~ mtvisible(c_tptp_member235_mt) ),
    inference(clausify,[status(thm)],[f_10_2]) ).

fof(f_48_1,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(fof_nnf,[status(thm)],[just48]) ).

fof(f_48_2,plain,
    ! [U_74,U_73] :
      ( mtvisible(U_73)
      | ~ genlmt(U_74,U_73)
      | ~ mtvisible(U_74) ),
    inference(variable_rename,[status(thm)],[f_48_1]) ).

cnf(f_48_3,plain,
    ( mtvisible(U_73)
    | ~ genlmt(U_74,U_73)
    | ~ mtvisible(U_74) ),
    inference(clausify,[status(thm)],[f_48_2]) ).

fof(f_53_1,plain,
    ! [X,Y,Z] :
      ( genlmt(X,Z)
      | ~ genlmt(Y,Z)
      | ~ genlmt(X,Y) ),
    inference(fof_nnf,[status(thm)],[just53]) ).

fof(f_53_2,plain,
    ! [U_85,U_84,U_83] :
      ( genlmt(U_85,U_83)
      | ~ genlmt(U_84,U_83)
      | ~ genlmt(U_85,U_84) ),
    inference(variable_rename,[status(thm)],[f_53_1]) ).

cnf(f_53_3,plain,
    ( genlmt(U_85,U_83)
    | ~ genlmt(U_84,U_83)
    | ~ genlmt(U_85,U_84) ),
    inference(clausify,[status(thm)],[f_53_2]) ).

fof(f_57_1,negated_conjecture,
    ( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(negate,[status(cth)],[query65]) ).

fof(f_57_2,negated_conjecture,
    ( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(definitional_conversion,[status(esa)],[f_57_1]) ).

cnf(f_57_3,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(clausify,[status(thm)],[f_57_2]) ).

cnf(f_57_4,negated_conjecture,
    ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
    inference(clausify,[status(thm)],[f_57_2]) ).

cnf(t1,plain,
    ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
    inference(start,[status(thm),parent(0:0)],[f_57_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_10_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_48_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_57_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_6_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_9_2]) ).

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

cnf(t12,plain,
    ( ~ genlmt(c_tptp_spindlecollectormt,c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_cyclistsmt) ),
    inference(extension,[status(thm),parent(t10:2)],[f_48_3]) ).

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

cnf(t14,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(extension,[status(thm),parent(t12:2)],[f_57_3]) ).

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

cnf(t16,plain,
    ( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
    | ~ genlmt(c_tptp_spindlecollectormt,c_tptp_spindleheadmt)
    | genlmt(c_tptp_spindlecollectormt,c_cyclistsmt) ),
    inference(extension,[status(thm),parent(t12:3)],[f_53_3]) ).

cnf(t17,plain,
    $false,
    inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).

cnf(t18,plain,
    ( ~ genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt)
    | ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt)
    | genlmt(c_tptp_spindlecollectormt,c_tptp_spindleheadmt) ),
    inference(extension,[status(thm),parent(t16:2)],[f_53_3]) ).

cnf(t19,plain,
    $false,
    inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).

cnf(t20,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(extension,[status(thm),parent(t18:2)],[f_8_2]) ).

cnf(t21,plain,
    $false,
    inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).

cnf(t22,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(extension,[status(thm),parent(t18:3)],[f_7_2]) ).

cnf(t23,plain,
    $false,
    inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).

cnf(t24,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(extension,[status(thm),parent(t16:3)],[f_5_2]) ).

cnf(t25,plain,
    $false,
    inference(connection,[status(thm),parent(t24:1)],[t24:1,t16:3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR065+1 : 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
% 0.11/0.37  % Computer : n001.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 20 16:17:57 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.31/0.58  % SZS status Theorem for theBenchmark
% 0.31/0.58  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------