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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : CSR070+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 : n006.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 08:33:50 AM UTC 2026

% Result   : Theorem 82.35s 82.62s
% Output   : Proof 82.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   47 (  16 unt;   0 def)
%            Number of atoms       :   83 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   66 (  30   ~;  27   |;   2   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-3 aty)
%            Number of variables   :   40 (   0 sgn  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax2_2664,axiom,
    ( mtvisible(c_tptp_member2668_mt)
   => tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('CSR002+2.ax',ax2_2664) ).

fof(ax2_2799,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_823(ARG1,ARG2)
     => tptptypes_7_819(ARG1,ARG2) ),
    file('CSR002+2.ax',ax2_2799) ).

fof(ax2_2890,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_819(ARG1,ARG2)
     => tptptypes_6_818(ARG1,ARG2) ),
    file('CSR002+2.ax',ax2_2890) ).

fof(ax2_2978,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_9_824(ARG1,ARG2)
     => tptptypes_8_823(ARG1,ARG2) ),
    file('CSR002+2.ax',ax2_2978) ).

fof(ax2_3311,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_818(ARG1,ARG2)
     => tptptypes_5_802(ARG1,ARG2) ),
    file('CSR002+2.ax',ax2_3311) ).

fof(ax2_4508,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    file('CSR002+2.ax',ax2_4508) ).

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

fof(query170,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('theBenchmark.p',query170) ).

fof(f_2664_1,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(fof_nnf,[status(thm)],[ax2_2664]) ).

cnf(f_2664_2,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(clausify,[status(thm)],[f_2664_1]) ).

fof(f_2799_1,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_7_819(ARG1,ARG2)
      | ~ tptptypes_8_823(ARG1,ARG2) ),
    inference(fof_nnf,[status(thm)],[ax2_2799]) ).

fof(f_2799_2,plain,
    ! [U_809,U_808] :
      ( tptptypes_7_819(U_809,U_808)
      | ~ tptptypes_8_823(U_809,U_808) ),
    inference(variable_rename,[status(thm)],[f_2799_1]) ).

cnf(f_2799_3,plain,
    ( tptptypes_7_819(U_809,U_808)
    | ~ tptptypes_8_823(U_809,U_808) ),
    inference(clausify,[status(thm)],[f_2799_2]) ).

fof(f_2890_1,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_818(ARG1,ARG2)
      | ~ tptptypes_7_819(ARG1,ARG2) ),
    inference(fof_nnf,[status(thm)],[ax2_2890]) ).

fof(f_2890_2,plain,
    ! [U_834,U_833] :
      ( tptptypes_6_818(U_834,U_833)
      | ~ tptptypes_7_819(U_834,U_833) ),
    inference(variable_rename,[status(thm)],[f_2890_1]) ).

cnf(f_2890_3,plain,
    ( tptptypes_6_818(U_834,U_833)
    | ~ tptptypes_7_819(U_834,U_833) ),
    inference(clausify,[status(thm)],[f_2890_2]) ).

fof(f_2978_1,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_8_823(ARG1,ARG2)
      | ~ tptptypes_9_824(ARG1,ARG2) ),
    inference(fof_nnf,[status(thm)],[ax2_2978]) ).

fof(f_2978_2,plain,
    ! [U_863,U_862] :
      ( tptptypes_8_823(U_863,U_862)
      | ~ tptptypes_9_824(U_863,U_862) ),
    inference(variable_rename,[status(thm)],[f_2978_1]) ).

cnf(f_2978_3,plain,
    ( tptptypes_8_823(U_863,U_862)
    | ~ tptptypes_9_824(U_863,U_862) ),
    inference(clausify,[status(thm)],[f_2978_2]) ).

fof(f_3311_1,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_802(ARG1,ARG2)
      | ~ tptptypes_6_818(ARG1,ARG2) ),
    inference(fof_nnf,[status(thm)],[ax2_3311]) ).

fof(f_3311_2,plain,
    ! [U_960,U_959] :
      ( tptptypes_5_802(U_960,U_959)
      | ~ tptptypes_6_818(U_960,U_959) ),
    inference(variable_rename,[status(thm)],[f_3311_1]) ).

cnf(f_3311_3,plain,
    ( tptptypes_5_802(U_960,U_959)
    | ~ tptptypes_6_818(U_960,U_959) ),
    inference(clausify,[status(thm)],[f_3311_2]) ).

fof(f_4508_1,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(fof_nnf,[status(thm)],[ax2_4508]) ).

cnf(f_4508_2,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(clausify,[status(thm)],[f_4508_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,
    ( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(negate,[status(cth)],[query170]) ).

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

cnf(f_8006_3,negated_conjecture,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(clausify,[status(thm)],[f_8006_1]) ).

cnf(t1,plain,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(start,[status(thm),parent(0:0)],[f_8006_3]) ).

cnf(t2,plain,
    ( ~ tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(extension,[status(thm),parent(t1:1)],[f_3311_3]) ).

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

cnf(t4,plain,
    ( ~ tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(extension,[status(thm),parent(t2:2)],[f_2890_3]) ).

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

cnf(t6,plain,
    ( ~ tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(extension,[status(thm),parent(t4:2)],[f_2799_3]) ).

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

cnf(t8,plain,
    ( ~ tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(extension,[status(thm),parent(t6:2)],[f_2978_3]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).

cnf(t10,plain,
    ( ~ mtvisible(c_tptp_member2668_mt)
    | tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(extension,[status(thm),parent(t8:2)],[f_2664_2]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).

cnf(t12,plain,
    ( ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member2668_mt) ),
    inference(extension,[status(thm),parent(t10:2)],[f_7997_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_8006_2]) ).

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

cnf(t16,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(extension,[status(thm),parent(t12:3)],[f_4508_2]) ).

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


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR070+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03  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 : n006.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 16:19:58 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 82.35/82.62  % SZS status Theorem for theBenchmark
% 82.35/82.62  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------