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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : CSR070+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 : n013.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 08:33:49 AM UTC 2026

% Result   : Theorem 1.65s 1.91s
% Output   : Proof 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   48 (  16 unt;   0 def)
%            Number of atoms       :   85 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   68 (  31   ~;  27   |;   3   &)
%                                         (   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(just8,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_818(ARG1,ARG2)
     => tptptypes_5_802(ARG1,ARG2) ),
    file('theBenchmark.p',just8) ).

fof(just10,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_819(ARG1,ARG2)
     => tptptypes_6_818(ARG1,ARG2) ),
    file('theBenchmark.p',just10) ).

fof(just12,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_823(ARG1,ARG2)
     => tptptypes_7_819(ARG1,ARG2) ),
    file('theBenchmark.p',just12) ).

fof(just14,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_9_824(ARG1,ARG2)
     => tptptypes_8_823(ARG1,ARG2) ),
    file('theBenchmark.p',just14) ).

fof(just16,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    file('theBenchmark.p',just16) ).

fof(just19,axiom,
    ( mtvisible(c_tptp_member2668_mt)
   => tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('theBenchmark.p',just19) ).

fof(just57,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('theBenchmark.p',just57) ).

fof(query70,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('theBenchmark.p',query70) ).

fof(f_8_1,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_802(ARG1,ARG2)
      | ~ tptptypes_6_818(ARG1,ARG2) ),
    inference(fof_nnf,[status(thm)],[just8]) ).

fof(f_8_2,plain,
    ! [U_1,U_0] :
      ( tptptypes_5_802(U_1,U_0)
      | ~ tptptypes_6_818(U_1,U_0) ),
    inference(variable_rename,[status(thm)],[f_8_1]) ).

cnf(f_8_3,plain,
    ( tptptypes_5_802(U_1,U_0)
    | ~ tptptypes_6_818(U_1,U_0) ),
    inference(clausify,[status(thm)],[f_8_2]) ).

fof(f_10_1,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_818(ARG1,ARG2)
      | ~ tptptypes_7_819(ARG1,ARG2) ),
    inference(fof_nnf,[status(thm)],[just10]) ).

fof(f_10_2,plain,
    ! [U_3,U_2] :
      ( tptptypes_6_818(U_3,U_2)
      | ~ tptptypes_7_819(U_3,U_2) ),
    inference(variable_rename,[status(thm)],[f_10_1]) ).

cnf(f_10_3,plain,
    ( tptptypes_6_818(U_3,U_2)
    | ~ tptptypes_7_819(U_3,U_2) ),
    inference(clausify,[status(thm)],[f_10_2]) ).

fof(f_12_1,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_7_819(ARG1,ARG2)
      | ~ tptptypes_8_823(ARG1,ARG2) ),
    inference(fof_nnf,[status(thm)],[just12]) ).

fof(f_12_2,plain,
    ! [U_5,U_4] :
      ( tptptypes_7_819(U_5,U_4)
      | ~ tptptypes_8_823(U_5,U_4) ),
    inference(variable_rename,[status(thm)],[f_12_1]) ).

cnf(f_12_3,plain,
    ( tptptypes_7_819(U_5,U_4)
    | ~ tptptypes_8_823(U_5,U_4) ),
    inference(clausify,[status(thm)],[f_12_2]) ).

fof(f_14_1,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_8_823(ARG1,ARG2)
      | ~ tptptypes_9_824(ARG1,ARG2) ),
    inference(fof_nnf,[status(thm)],[just14]) ).

fof(f_14_2,plain,
    ! [U_7,U_6] :
      ( tptptypes_8_823(U_7,U_6)
      | ~ tptptypes_9_824(U_7,U_6) ),
    inference(variable_rename,[status(thm)],[f_14_1]) ).

cnf(f_14_3,plain,
    ( tptptypes_8_823(U_7,U_6)
    | ~ tptptypes_9_824(U_7,U_6) ),
    inference(clausify,[status(thm)],[f_14_2]) ).

fof(f_16_1,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(fof_nnf,[status(thm)],[just16]) ).

cnf(f_16_2,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(clausify,[status(thm)],[f_16_1]) ).

fof(f_19_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)],[just19]) ).

cnf(f_19_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_19_1]) ).

fof(f_57_1,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(fof_nnf,[status(thm)],[just57]) ).

fof(f_57_2,plain,
    ! [U_84,U_83] :
      ( mtvisible(U_83)
      | ~ genlmt(U_84,U_83)
      | ~ mtvisible(U_84) ),
    inference(variable_rename,[status(thm)],[f_57_1]) ).

cnf(f_57_3,plain,
    ( mtvisible(U_83)
    | ~ genlmt(U_84,U_83)
    | ~ mtvisible(U_84) ),
    inference(clausify,[status(thm)],[f_57_2]) ).

fof(f_80_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)],[query70]) ).

fof(f_80_2,negated_conjecture,
    ( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(definitional_conversion,[status(esa)],[f_80_1]) ).

cnf(f_80_3,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(clausify,[status(thm)],[f_80_2]) ).

cnf(f_80_4,negated_conjecture,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(clausify,[status(thm)],[f_80_2]) ).

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_80_4]) ).

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_8_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_10_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_12_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_14_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_19_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_57_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_80_3]) ).

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_16_2]) ).

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


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR070+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
% 0.10/0.37  % Computer : n013.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 20 16:23:06 UTC 2026
% 0.14/0.37  % CPUTime  : 
% 1.65/1.91  % SZS status Theorem for theBenchmark
% 1.65/1.91  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------