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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : CSR030+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 : n003.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 08:17:52 AM UTC 2026

% Result   : Theorem 0.22s 0.47s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   39 (  14 unt;   0 def)
%            Number of atoms       :   69 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   56 (  26   ~;  19   |;   5   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   31 (   1 sgn  22   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(just7,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ),
    file('theBenchmark.p',just7) ).

fof(just9,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
     => tptptypes_6_388(ARG2,ARG1) ),
    file('theBenchmark.p',just9) ).

fof(just11,axiom,
    genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    file('theBenchmark.p',just11) ).

fof(just12,axiom,
    ( mtvisible(c_tptp_spindleheadmt)
   => tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
    file('theBenchmark.p',just12) ).

fof(just49,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('theBenchmark.p',just49) ).

fof(query30,conjecture,
    ? [ARG2] :
      ( mtvisible(c_tptp_member3393_mt)
     => tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
    file('theBenchmark.p',query30) ).

fof(f_7_1,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_387(ARG1,ARG2)
      | ~ tptptypes_6_388(ARG1,ARG2) ),
    inference(fof_nnf,[status(thm)],[just7]) ).

fof(f_7_2,plain,
    ! [U_1,U_0] :
      ( tptptypes_5_387(U_1,U_0)
      | ~ tptptypes_6_388(U_1,U_0) ),
    inference(variable_rename,[status(thm)],[f_7_1]) ).

cnf(f_7_3,plain,
    ( tptptypes_5_387(U_1,U_0)
    | ~ tptptypes_6_388(U_1,U_0) ),
    inference(clausify,[status(thm)],[f_7_2]) ).

fof(f_9_1,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG2,ARG1)
      | ~ tptptypes_7_389(ARG1,ARG2) ),
    inference(fof_nnf,[status(thm)],[just9]) ).

fof(f_9_2,plain,
    ! [U_3,U_2] :
      ( tptptypes_6_388(U_2,U_3)
      | ~ tptptypes_7_389(U_3,U_2) ),
    inference(variable_rename,[status(thm)],[f_9_1]) ).

cnf(f_9_3,plain,
    ( tptptypes_6_388(U_2,U_3)
    | ~ tptptypes_7_389(U_3,U_2) ),
    inference(clausify,[status(thm)],[f_9_2]) ).

fof(f_11_1,plain,
    genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    inference(fof_nnf,[status(thm)],[just11]) ).

cnf(f_11_2,plain,
    genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    inference(clausify,[status(thm)],[f_11_1]) ).

fof(f_12_1,plain,
    ( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(fof_nnf,[status(thm)],[just12]) ).

cnf(f_12_2,plain,
    ( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(clausify,[status(thm)],[f_12_1]) ).

fof(f_49_1,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(fof_nnf,[status(thm)],[just49]) ).

fof(f_49_2,plain,
    ! [U_75,U_74] :
      ( mtvisible(U_74)
      | ~ genlmt(U_75,U_74)
      | ~ mtvisible(U_75) ),
    inference(variable_rename,[status(thm)],[f_49_1]) ).

cnf(f_49_3,plain,
    ( mtvisible(U_74)
    | ~ genlmt(U_75,U_74)
    | ~ mtvisible(U_75) ),
    inference(clausify,[status(thm)],[f_49_2]) ).

fof(f_58_1,negated_conjecture,
    ~ ? [ARG2] :
        ( mtvisible(c_tptp_member3393_mt)
       => tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
    inference(negate,[status(cth)],[query30]) ).

fof(f_58_2,negated_conjecture,
    ! [ARG2] :
      ( ~ tptptypes_5_387(ARG2,c_pushingwithopenhand)
      & mtvisible(c_tptp_member3393_mt) ),
    inference(fof_nnf,[status(thm)],[f_58_1]) ).

fof(f_58_3,negated_conjecture,
    ! [U_89] :
      ( ~ tptptypes_5_387(U_89,c_pushingwithopenhand)
      & mtvisible(c_tptp_member3393_mt) ),
    inference(variable_rename,[status(thm)],[f_58_2]) ).

fof(f_58_4,negated_conjecture,
    ( ! [U_89] : ~ tptptypes_5_387(U_89,c_pushingwithopenhand)
    & mtvisible(c_tptp_member3393_mt) ),
    inference(miniscope,[status(thm)],[f_58_3]) ).

fof(f_58_5,negated_conjecture,
    ( ! [U_89] : ~ tptptypes_5_387(U_89,c_pushingwithopenhand)
    & mtvisible(c_tptp_member3393_mt) ),
    inference(definitional_conversion,[status(esa)],[f_58_4]) ).

cnf(f_58_6,negated_conjecture,
    mtvisible(c_tptp_member3393_mt),
    inference(clausify,[status(thm)],[f_58_5]) ).

cnf(f_58_7,negated_conjecture,
    ~ tptptypes_5_387(U_89,c_pushingwithopenhand),
    inference(clausify,[status(thm)],[f_58_5]) ).

cnf(t1,plain,
    ~ tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand),
    inference(start,[status(thm),parent(0:0)],[f_58_7]) ).

cnf(t2,plain,
    ( ~ tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand)
    | tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand) ),
    inference(extension,[status(thm),parent(t1:1)],[f_7_3]) ).

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

cnf(t4,plain,
    ( ~ tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
    | tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand) ),
    inference(extension,[status(thm),parent(t2:2)],[f_9_3]) ).

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

cnf(t6,plain,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
    inference(extension,[status(thm),parent(t4:2)],[f_12_2]) ).

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

cnf(t8,plain,
    ( ~ genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3393_mt)
    | mtvisible(c_tptp_spindleheadmt) ),
    inference(extension,[status(thm),parent(t6:2)],[f_49_3]) ).

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

cnf(t10,plain,
    mtvisible(c_tptp_member3393_mt),
    inference(extension,[status(thm),parent(t8:2)],[f_58_6]) ).

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

cnf(t12,plain,
    genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    inference(extension,[status(thm),parent(t8:3)],[f_11_2]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR030+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
% 0.07/0.34  % Computer : n003.cluster.edu
% 0.07/0.34  % Model    : x86_64 x86_64
% 0.07/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34  % Memory   : 8046.5625MB
% 0.07/0.34  % OS       : Linux 6.8.0-71-generic
% 0.07/0.34  % CPULimit : 300
% 0.07/0.34  % WCLimit  : 300
% 0.07/0.34  % DateTime : Sun Sep 20 15:46:14 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.22/0.47  % SZS status Theorem for theBenchmark
% 0.22/0.47  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------