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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR056+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n004.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 07:06:57 AM UTC 2026

% Result   : Theorem 205.19s 153.48s
% Output   : CNFRefutation 205.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   25 (  12 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  15   ~;   9   |;   2   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   13 (   1 sgn   4   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax5_1017330,axiom,
    ! [OBJ] :
      ( artsupplies(OBJ)
     => supplies(OBJ) ),
    file('theBenchmark.p',ax5_1017330) ).

fof(ax5_2509663,axiom,
    ( mtvisible(c_cyclistsmt)
   => artsupplies(c_tptpartsupplies) ),
    file('theBenchmark.p',ax5_2509663) ).

fof(ax5_3342125,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('theBenchmark.p',ax5_3342125) ).

fof(ax5_1067070,axiom,
    ! [INS] :
      ( ( supplies(INS)
        & mtvisible(c_tptp_member3717_mt) )
     => tptpofobject(INS,f_tptpquantityfn_17(n_385)) ),
    file('theBenchmark.p',ax5_1067070) ).

fof(query306,conjecture,
    ? [QUANTITY] :
      ( mtvisible(c_tptp_member3717_mt)
     => tptpofobject(c_tptpartsupplies,QUANTITY) ),
    file('theBenchmark.p',query306) ).

fof(query306_neg,negated_conjecture,
    ~ ? [QUANTITY] :
        ( mtvisible(c_tptp_member3717_mt)
       => tptpofobject(c_tptpartsupplies,QUANTITY) ),
    inference(assume_negation,[status(cth)],[query306]) ).

cnf(c_1411,plain,
    ( tptpofobject(A,f_tptpquantityfn_17(n_385))
    | ~ supplies(A)
    | ~ mtvisible(c_tptp_member3717_mt) ),
    inference(clausify,[status(thm)],[ax5_1067070]) ).

fof(ax5_2035961,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('theBenchmark.p',ax5_2035961) ).

cnf(c_1949,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(clausify,[status(thm)],[ax5_2035961]) ).

cnf(c_2686,plain,
    ( supplies(A)
    | ~ artsupplies(A) ),
    inference(clausify,[status(thm)],[ax5_1017330]) ).

fof(ax5_1219310,axiom,
    genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
    file('theBenchmark.p',ax5_1219310) ).

cnf(c_2701,plain,
    genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
    inference(clausify,[status(thm)],[ax5_1219310]) ).

cnf(c_2754,plain,
    ( artsupplies(c_tptpartsupplies)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(clausify,[status(thm)],[ax5_2509663]) ).

cnf(c_2784,plain,
    ( mtvisible(B)
    | ~ genlmt(A,B)
    | ~ mtvisible(A) ),
    inference(clausify,[status(thm)],[ax5_3342125]) ).

cnf(c_2788,negated_conjecture,
    mtvisible(c_tptp_member3717_mt),
    inference(clausify,[status(thm)],[query306_neg]) ).

cnf(c_2789,negated_conjecture,
    ~ tptpofobject(c_tptpartsupplies,A),
    inference(clausify,[status(thm)],[query306_neg]) ).

cnf(c_2794,negated_conjecture,
    ( tptpofobject(A,f_tptpquantityfn_17(n_385))
    | ~ supplies(A) ),
    inference(resolve,[status(thm)],[c_2788,c_1411]) ).

cnf(c_2815,negated_conjecture,
    ~ supplies(c_tptpartsupplies),
    inference(resolve,[status(thm)],[c_2794,c_2789]) ).

cnf(c_3030,plain,
    ~ artsupplies(c_tptpartsupplies),
    inference(resolve,[status(thm)],[c_2686,c_2815]) ).

cnf(c_3031,plain,
    ~ mtvisible(c_cyclistsmt),
    inference(resolve,[status(thm)],[c_3030,c_2754]) ).

cnf(c_3284,negated_conjecture,
    ( mtvisible(A)
    | ~ genlmt(c_tptp_member3717_mt,A) ),
    inference(resolve,[status(thm)],[c_2784,c_2788]) ).

cnf(c_3282,negated_conjecture,
    mtvisible(c_tptp_spindleheadmt),
    inference(resolve,[status(thm)],[c_3284,c_2701]) ).

cnf(c_3285,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(resolve,[status(thm)],[c_2784,c_1949]) ).

cnf(c_3286,plain,
    ~ mtvisible(c_tptp_spindleheadmt),
    inference(resolve,[status(thm)],[c_3285,c_3031]) ).

cnf(c_3283,plain,
    $false,
    inference(resolve,[status(thm)],[c_3282,c_3286]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR056+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% 0.00/0.06  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42  % Computer : n004.cluster.edu
% 0.15/0.42  % Model    : x86_64 x86_64
% 0.15/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42  % Memory   : 8046.5625MB
% 0.15/0.42  % OS       : Linux 6.8.0-71-generic
% 0.15/0.42  % CPULimit : 300
% 0.15/0.42  % WCLimit  : 300
% 0.15/0.42  % DateTime : Sun Sep 27 00:23:52 UTC 2026
% 0.15/0.42  % CPUTime  : 
% 0.15/0.42  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.42  % Process 2955811 was started by sandbox2 on n004,
% 0.15/0.42  % Sun Sep 27 00:23:52 2026
% 0.15/0.42  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 205.19/153.48  
% 205.19/153.48  % SInE (scan): 1702 to sos (tol 1.5x), 265 to usable (tol 2.0x), 3340010 zapped, of 3341977 axioms (depth 3).
% 205.19/153.48  
% 205.19/153.48  % From the command line: assign(max_seconds, 300).
% 205.19/153.48  
% 205.19/153.48  % given #500 (W,wt=13): 3224 collection(f_accessoryfn_artifact(c_telephone)).  [hyper(2635,a,3187,a)].
% 205.19/153.48  
% 205.19/153.48  % SZS status Theorem for theBenchmark
% 205.19/153.48  
% 205.19/153.48  % Proof 1 at 3.97 (+ 3.46) seconds.
% 205.19/153.48  % Length of proof is 19.
% 205.19/153.48  % Level of proof is 6.
% 205.19/153.48  % Maximum clause weight is 112.000.
% 205.19/153.48  % Given clauses 606.
% 205.19/153.48  
% 205.19/153.48  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------