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Prover9---2026-6A.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR062+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.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 : Sun Sep 27 07:07:01 AM UTC 2026

% Result   : Theorem 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   27 (  12 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  15   ~;   9   |;   1   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   24 (   3 sgn   8   !;   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,
    ! [ARG1,ARG2] :
      ( tptptypes_8_390(ARG1,ARG2)
     => tptptypes_7_389(ARG1,ARG2) ),
    file('theBenchmark.p',just11) ).

fof(just14,axiom,
    ( mtvisible(c_cyclistsmt)
   => tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    file('theBenchmark.p',just14) ).

fof(just53,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('theBenchmark.p',just53) ).

fof(query62,conjecture,
    ? [ARG1] :
      ( mtvisible(c_tptp_member3205_mt)
     => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    file('theBenchmark.p',query62) ).

fof(query62_neg,negated_conjecture,
    ~ ? [ARG1] :
        ( mtvisible(c_tptp_member3205_mt)
       => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    inference(assume_negation,[status(cth)],[query62]) ).

cnf(c_54,plain,
    ( tptptypes_6_388(B,A)
    | ~ tptptypes_7_389(A,B) ),
    inference(clausify,[status(thm)],[just9]) ).

cnf(c_57,plain,
    ( tptptypes_5_387(A,B)
    | ~ tptptypes_6_388(A,B) ),
    inference(clausify,[status(thm)],[just7]) ).

cnf(c_59,plain,
    ( ~ tptptypes_7_389(B,A)
    | tptptypes_5_387(A,B) ),
    inference(resolve,[status(thm)],[c_57,c_54]) ).

cnf(c_61,negated_conjecture,
    ~ tptptypes_5_387(A,c_pushingwithfingers),
    inference(clausify,[status(thm)],[query62_neg]) ).

cnf(c_62,plain,
    ( tptptypes_7_389(A,B)
    | ~ tptptypes_8_390(A,B) ),
    inference(clausify,[status(thm)],[just11]) ).

cnf(c_67,negated_conjecture,
    ~ tptptypes_7_389(c_pushingwithfingers,A),
    inference(resolve,[status(thm)],[c_61,c_59]) ).

cnf(c_70,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(clausify,[status(thm)],[just14]) ).

cnf(c_73,negated_conjecture,
    ~ tptptypes_8_390(c_pushingwithfingers,A),
    inference(resolve,[status(thm)],[c_62,c_67]) ).

fof(just12,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('theBenchmark.p',just12) ).

cnf(c_103,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(clausify,[status(thm)],[just12]) ).

fof(just13,axiom,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    file('theBenchmark.p',just13) ).

cnf(c_104,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(clausify,[status(thm)],[just13]) ).

cnf(c_112,plain,
    ( mtvisible(B)
    | ~ genlmt(A,B)
    | ~ mtvisible(A) ),
    inference(clausify,[status(thm)],[just53]) ).

cnf(c_115,negated_conjecture,
    mtvisible(c_tptp_member3205_mt),
    inference(clausify,[status(thm)],[query62_neg]) ).

cnf(c_117,negated_conjecture,
    ~ mtvisible(c_cyclistsmt),
    inference(resolve,[status(thm)],[c_70,c_73]) ).

cnf(c_142,negated_conjecture,
    ( mtvisible(A)
    | ~ genlmt(c_tptp_member3205_mt,A) ),
    inference(resolve,[status(thm)],[c_112,c_115]) ).

cnf(c_136,negated_conjecture,
    mtvisible(c_tptp_spindleheadmt),
    inference(resolve,[status(thm)],[c_142,c_104]) ).

cnf(c_143,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(resolve,[status(thm)],[c_112,c_103]) ).

cnf(c_144,negated_conjecture,
    ~ mtvisible(c_tptp_spindleheadmt),
    inference(resolve,[status(thm)],[c_143,c_117]) ).

cnf(c_141,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_136,c_144]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR062+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  % Computer : n020.cluster.edu
% 0.19/0.46  % Model    : x86_64 x86_64
% 0.19/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46  % Memory   : 8046.5625MB
% 0.19/0.46  % OS       : Linux 6.8.0-71-generic
% 0.19/0.46  % CPULimit : 300
% 0.19/0.46  % WCLimit  : 300
% 0.19/0.46  % DateTime : Sun Sep 27 00:29:35 UTC 2026
% 0.19/0.47  % CPUTime  : 
% 0.19/0.47  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.47  % Process 2863177 was started by sandbox2 on n020,
% 0.19/0.47  % Sun Sep 27 00:29:35 2026
% 0.19/0.47  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.19/0.49  
% 0.19/0.49  % From the command line: assign(max_seconds, 300).
% 0.19/0.51  
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  
% 0.19/0.51  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.19/0.51  % Length of proof is 21.
% 0.19/0.51  % Level of proof is 6.
% 0.19/0.51  % Maximum clause weight is 7.000.
% 0.19/0.51  % Given clauses 26.
% 0.19/0.51  
% 0.19/0.51  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------