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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR035+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n016.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 07:06:42 AM UTC 2026

% Result   : Theorem 218.56s 206.64s
% Output   : CNFRefutation 218.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   4 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   3   ~;   1   |;   0   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-3 aty)
%            Number of variables   :    3 (   1 sgn   0   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax5_2728125,axiom,
    ( mtvisible(c_englishmt)
   => prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbc) ),
    file('theBenchmark.p',ax5_2728125) ).

fof(query285,conjecture,
    ? [X] :
      ( mtvisible(c_englishmt)
     => prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X) ),
    file('theBenchmark.p',query285) ).

fof(query285_neg,negated_conjecture,
    ~ ? [X] :
        ( mtvisible(c_englishmt)
       => prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X) ),
    inference(assume_negation,[status(cth)],[query285]) ).

cnf(c_222,plain,
    ( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbc)
    | ~ mtvisible(c_englishmt) ),
    inference(clausify,[status(thm)],[ax5_2728125]) ).

cnf(c_289,negated_conjecture,
    mtvisible(c_englishmt),
    inference(clausify,[status(thm)],[query285_neg]) ).

cnf(c_290,negated_conjecture,
    ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),A),
    inference(clausify,[status(thm)],[query285_neg]) ).

cnf(c_306,negated_conjecture,
    prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbc),
    inference(resolve,[status(thm)],[c_289,c_222]) ).

cnf(c_305,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_290,c_306]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR035+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38   % Computer : n016.cluster.edu
% 0.09/5.38   % Model    : x86_64 x86_64
% 0.09/5.38   % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38   % Memory   : 8046.5625MB
% 0.09/5.38   % OS       : Linux 6.8.0-71-generic
% 0.31/26.23  % CPULimit : 300
% 0.31/26.23  % WCLimit  : 300
% 0.31/26.23  % DateTime : Sun Sep 27 00:05:26 UTC 2026
% 0.31/26.23  % CPUTime  : 
% 0.31/26.23  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.31/26.23  % Process 3855796 was started by sandbox on n013,
% 0.31/26.23  % Sun Sep 27 00:05:26 2026
% 0.31/26.23  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 218.56/206.64  
% 218.56/206.64  % SInE (scan): 160 to sos (tol 1.5x), 39 to usable (tol 2.0x), 3341778 zapped, of 3341977 axioms (depth 3).
% 218.56/206.64  
% 218.56/206.64  % From the command line: assign(max_seconds, 300).
% 218.56/206.64  
% 218.56/206.64  % SZS status Theorem for theBenchmark
% 218.56/206.64  
% 218.56/206.64  % Proof 1 at 3.38 (+ 3.08) seconds.
% 218.56/206.64  % Length of proof is 6.
% 218.56/206.64  % Level of proof is 2.
% 218.56/206.64  % Maximum clause weight is 16.000.
% 218.56/206.64  % Given clauses 0.
% 218.56/206.64  
% 218.56/206.64  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------