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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR092+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n018.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 07:07:20 AM UTC 2026

% Result   : Theorem 4.42s 1.14s
% Output   : CNFRefutation 4.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   65 (  37 unt;   0 def)
%            Number of atoms       :  122 (   5 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  104 (  47   ~;  43   |;   7   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  12 con; 0-0 aty)
%            Number of variables   :   34 (   1 sgn   9   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_26,axiom,
    ! [V__X,V__Y] :
      ( s__subclass(V__X,V__Y)
     => ( s__instance(V__Y,s__SetOrClass)
        & s__instance(V__X,s__SetOrClass) ) ),
    file('theBenchmark.p',kb_SUMO_26) ).

fof(kb_SUMO_27,axiom,
    ! [V__X,V__Y,V__Z] :
      ( ( s__instance(V__X,s__SetOrClass)
        & s__instance(V__Y,s__SetOrClass) )
     => ( ( s__instance(V__Z,V__X)
          & s__subclass(V__X,V__Y) )
       => s__instance(V__Z,V__Y) ) ),
    file('theBenchmark.p',kb_SUMO_27) ).

fof(kb_SUMO_97,axiom,
    ! [V__ROW1,V__ROW2] :
      ( ( s__instance(V__ROW1,s__Organism)
        & s__instance(V__ROW2,s__Organism) )
     => ( s__parent(V__ROW1,V__ROW2)
       => s__ancestor(V__ROW1,V__ROW2) ) ),
    file('theBenchmark.p',kb_SUMO_97) ).

fof(kb_SUMO_125,axiom,
    ! [V__ROW1,V__ROW2] :
      ( ( s__instance(V__ROW1,s__Organism)
        & s__instance(V__ROW2,s__Organism) )
     => ( s__son(V__ROW1,V__ROW2)
       => s__parent(V__ROW1,V__ROW2) ) ),
    file('theBenchmark.p',kb_SUMO_125) ).

fof(prove_from_SUMO,conjecture,
    ? [V_X] :
      ( V_X = s__Ancestor22_1
      & s__ancestor(s__Man22_1,V_X) ),
    file('theBenchmark.p',prove_from_SUMO) ).

fof(prove_from_SUMO_neg,negated_conjecture,
    ~ ? [V_X] :
        ( V_X = s__Ancestor22_1
        & s__ancestor(s__Man22_1,V_X) ),
    inference(assume_negation,[status(cth)],[prove_from_SUMO]) ).

fof(kb_SUMOcache_4859,axiom,
    s__subclass(s__Man,s__WarmBloodedVertebrate),
    file('theBenchmark.p',kb_SUMOcache_4859) ).

cnf(c_504,plain,
    s__subclass(s__Man,s__WarmBloodedVertebrate),
    inference(clausify,[status(thm)],[kb_SUMOcache_4859]) ).

fof(kb_SUMOcache_4864,axiom,
    s__subclass(s__Man,s__Mammal),
    file('theBenchmark.p',kb_SUMOcache_4864) ).

cnf(c_505,plain,
    s__subclass(s__Man,s__Mammal),
    inference(clausify,[status(thm)],[kb_SUMOcache_4864]) ).

fof(kb_SUMOcache_5062,axiom,
    s__subclass(s__WarmBloodedVertebrate,s__Organism),
    file('theBenchmark.p',kb_SUMOcache_5062) ).

cnf(c_521,plain,
    s__subclass(s__WarmBloodedVertebrate,s__Organism),
    inference(clausify,[status(thm)],[kb_SUMOcache_5062]) ).

fof(kb_SUMOcache_5065,axiom,
    s__subclass(s__WarmBloodedVertebrate,s__Entity),
    file('theBenchmark.p',kb_SUMOcache_5065) ).

cnf(c_524,plain,
    s__subclass(s__WarmBloodedVertebrate,s__Entity),
    inference(clausify,[status(thm)],[kb_SUMOcache_5065]) ).

fof(kb_SUMOcache_6052,axiom,
    s__subclass(s__Human,s__Vertebrate),
    file('theBenchmark.p',kb_SUMOcache_6052) ).

cnf(c_550,plain,
    s__subclass(s__Human,s__Vertebrate),
    inference(clausify,[status(thm)],[kb_SUMOcache_6052]) ).

fof(kb_SUMOcache_6054,axiom,
    s__subclass(s__Human,s__OrganicThing),
    file('theBenchmark.p',kb_SUMOcache_6054) ).

cnf(c_552,plain,
    s__subclass(s__Human,s__OrganicThing),
    inference(clausify,[status(thm)],[kb_SUMOcache_6054]) ).

fof(kb_SUMOcache_6272,axiom,
    s__subclass(s__Vertebrate,s__Organism),
    file('theBenchmark.p',kb_SUMOcache_6272) ).

cnf(c_560,plain,
    s__subclass(s__Vertebrate,s__Organism),
    inference(clausify,[status(thm)],[kb_SUMOcache_6272]) ).

fof(kb_SUMOcache_6275,axiom,
    s__subclass(s__Vertebrate,s__Entity),
    file('theBenchmark.p',kb_SUMOcache_6275) ).

cnf(c_563,plain,
    s__subclass(s__Vertebrate,s__Entity),
    inference(clausify,[status(thm)],[kb_SUMOcache_6275]) ).

fof(kb_SUMOcache_6385,axiom,
    s__subclass(s__Organism,s__CorpuscularObject),
    file('theBenchmark.p',kb_SUMOcache_6385) ).

cnf(c_566,plain,
    s__subclass(s__Organism,s__CorpuscularObject),
    inference(clausify,[status(thm)],[kb_SUMOcache_6385]) ).

cnf(c_607,plain,
    ( s__instance(A,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26]) ).

cnf(c_609,plain,
    ( s__instance(C,A)
    | ~ s__instance(C,B)
    | ~ s__subclass(B,A)
    | ~ s__instance(B,s__SetOrClass)
    | ~ s__instance(A,s__SetOrClass) ),
    inference(clausify,[status(thm)],[kb_SUMO_27]) ).

cnf(c_611,plain,
    ( s__ancestor(B,A)
    | ~ s__parent(B,A)
    | ~ s__instance(B,s__Organism)
    | ~ s__instance(A,s__Organism) ),
    inference(clausify,[status(thm)],[kb_SUMO_97]) ).

cnf(c_612,plain,
    ( s__parent(B,A)
    | ~ s__son(B,A)
    | ~ s__instance(B,s__Organism)
    | ~ s__instance(A,s__Organism) ),
    inference(clausify,[status(thm)],[kb_SUMO_125]) ).

fof(local_1,axiom,
    s__instance(s__Man22_1,s__Man),
    file('theBenchmark.p',local_1) ).

cnf(c_716,plain,
    s__instance(s__Man22_1,s__Man),
    inference(clausify,[status(thm)],[local_1]) ).

fof(local_2,axiom,
    s__instance(s__Ancestor22_1,s__Human),
    file('theBenchmark.p',local_2) ).

cnf(c_717,plain,
    s__instance(s__Ancestor22_1,s__Human),
    inference(clausify,[status(thm)],[local_2]) ).

fof(local_3,axiom,
    s__son(s__Man22_1,s__Ancestor22_1),
    file('theBenchmark.p',local_3) ).

cnf(c_718,plain,
    s__son(s__Man22_1,s__Ancestor22_1),
    inference(clausify,[status(thm)],[local_3]) ).

cnf(c_719,negated_conjecture,
    ( A != s__Ancestor22_1
    | ~ s__ancestor(s__Man22_1,A) ),
    inference(clausify,[status(thm)],[prove_from_SUMO_neg]) ).

cnf(c_720,negated_conjecture,
    ( s__Ancestor22_1 != A
    | ~ s__ancestor(s__Man22_1,A) ),
    inference(copy,[status(thm)],[c_719]) ).

cnf(c_766,plain,
    s__instance(s__Organism,s__SetOrClass),
    inference(resolve,[status(thm)],[c_607,c_566]) ).

cnf(c_768,plain,
    s__instance(s__Vertebrate,s__SetOrClass),
    inference(resolve,[status(thm)],[c_607,c_563]) ).

cnf(c_770,plain,
    s__instance(s__Human,s__SetOrClass),
    inference(resolve,[status(thm)],[c_607,c_552]) ).

cnf(c_775,plain,
    s__instance(s__WarmBloodedVertebrate,s__SetOrClass),
    inference(resolve,[status(thm)],[c_607,c_524]) ).

cnf(c_778,plain,
    s__instance(s__Man,s__SetOrClass),
    inference(resolve,[status(thm)],[c_607,c_505]) ).

cnf(c_3475,plain,
    ( s__instance(A,s__Organism)
    | ~ s__instance(A,s__Vertebrate)
    | ~ s__instance(s__Vertebrate,s__SetOrClass)
    | ~ s__instance(s__Organism,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_609,c_560]) ).

cnf(c_3476,plain,
    ( s__instance(A,s__Organism)
    | ~ s__instance(A,s__Vertebrate)
    | ~ s__instance(s__Vertebrate,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_766,c_3475]) ).

cnf(c_850,plain,
    ( s__instance(A,s__Organism)
    | ~ s__instance(A,s__Vertebrate) ),
    inference(resolve,[status(thm)],[c_768,c_3476]) ).

cnf(c_3477,plain,
    ( s__instance(A,s__Vertebrate)
    | ~ s__instance(A,s__Human)
    | ~ s__instance(s__Human,s__SetOrClass)
    | ~ s__instance(s__Vertebrate,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_609,c_550]) ).

cnf(c_3478,plain,
    ( s__instance(A,s__Vertebrate)
    | ~ s__instance(A,s__Human)
    | ~ s__instance(s__Human,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_768,c_3477]) ).

cnf(c_859,plain,
    ( s__instance(A,s__Vertebrate)
    | ~ s__instance(A,s__Human) ),
    inference(resolve,[status(thm)],[c_770,c_3478]) ).

cnf(c_3479,plain,
    ( s__instance(A,s__Organism)
    | ~ s__instance(A,s__WarmBloodedVertebrate)
    | ~ s__instance(s__WarmBloodedVertebrate,s__SetOrClass)
    | ~ s__instance(s__Organism,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_609,c_521]) ).

cnf(c_3480,plain,
    ( s__instance(A,s__Organism)
    | ~ s__instance(A,s__WarmBloodedVertebrate)
    | ~ s__instance(s__WarmBloodedVertebrate,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_766,c_3479]) ).

cnf(c_885,plain,
    ( s__instance(A,s__Organism)
    | ~ s__instance(A,s__WarmBloodedVertebrate) ),
    inference(resolve,[status(thm)],[c_775,c_3480]) ).

cnf(c_3481,plain,
    ( s__instance(A,s__WarmBloodedVertebrate)
    | ~ s__instance(A,s__Man)
    | ~ s__instance(s__Man,s__SetOrClass)
    | ~ s__instance(s__WarmBloodedVertebrate,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_609,c_504]) ).

cnf(c_3482,plain,
    ( s__instance(A,s__WarmBloodedVertebrate)
    | ~ s__instance(A,s__Man)
    | ~ s__instance(s__Man,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_775,c_3481]) ).

cnf(c_901,plain,
    ( s__instance(A,s__WarmBloodedVertebrate)
    | ~ s__instance(A,s__Man) ),
    inference(resolve,[status(thm)],[c_778,c_3482]) ).

cnf(c_974,plain,
    ( s__parent(s__Man22_1,s__Ancestor22_1)
    | ~ s__instance(s__Man22_1,s__Organism)
    | ~ s__instance(s__Ancestor22_1,s__Organism) ),
    inference(resolve,[status(thm)],[c_612,c_718]) ).

cnf(c_3135,plain,
    s__instance(s__Ancestor22_1,s__Vertebrate),
    inference(resolve,[status(thm)],[c_859,c_717]) ).

cnf(c_3140,plain,
    s__instance(s__Ancestor22_1,s__Organism),
    inference(resolve,[status(thm)],[c_3135,c_850]) ).

cnf(c_3151,plain,
    ( s__parent(s__Man22_1,s__Ancestor22_1)
    | ~ s__instance(s__Man22_1,s__Organism) ),
    inference(resolve,[status(thm)],[c_3140,c_974]) ).

cnf(c_3388,plain,
    s__instance(s__Man22_1,s__WarmBloodedVertebrate),
    inference(resolve,[status(thm)],[c_901,c_716]) ).

cnf(c_3395,plain,
    s__instance(s__Man22_1,s__Organism),
    inference(resolve,[status(thm)],[c_3388,c_885]) ).

cnf(c_3402,plain,
    s__parent(s__Man22_1,s__Ancestor22_1),
    inference(resolve,[status(thm)],[c_3395,c_3151]) ).

cnf(c_3483,plain,
    ( s__ancestor(s__Man22_1,s__Ancestor22_1)
    | ~ s__instance(s__Man22_1,s__Organism)
    | ~ s__instance(s__Ancestor22_1,s__Organism) ),
    inference(resolve,[status(thm)],[c_3402,c_611]) ).

cnf(c_3484,plain,
    ( s__ancestor(s__Man22_1,s__Ancestor22_1)
    | ~ s__instance(s__Man22_1,s__Organism) ),
    inference(resolve,[status(thm)],[c_3140,c_3483]) ).

cnf(c_3457,plain,
    s__ancestor(s__Man22_1,s__Ancestor22_1),
    inference(resolve,[status(thm)],[c_3395,c_3484]) ).

cnf(c_3485,negated_conjecture,
    s__Ancestor22_1 != s__Ancestor22_1,
    inference(resolve,[status(thm)],[c_3457,c_720]) ).

cnf(c_3474,negated_conjecture,
    $false,
    inference(copy,[status(thm)],[c_3485]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR092+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36  % Computer : n018.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 00:51:52 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.38  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.38  % Process 1786346 was started by sandbox2 on n018,
% 0.11/0.38  % Sun Sep 27 00:51:52 2026
% 0.11/0.38  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 4.42/1.14  
% 4.42/1.14  % SInE (scan): 452 to sos (tol 1.5x), 62 to usable (tol 2.0x), 14276 zapped, of 14790 axioms (depth 3).
% 4.42/1.14  
% 4.42/1.14  % From the command line: assign(max_seconds, 300).
% 4.42/1.14  
% 4.42/1.14  % SZS status Theorem for theBenchmark
% 4.42/1.14  
% 4.42/1.14  % Proof 1 at 0.45 (+ 0.11) seconds.
% 4.42/1.14  % Length of proof is 41.
% 4.42/1.14  % Level of proof is 9.
% 4.42/1.14  % Maximum clause weight is 120.000.
% 4.42/1.14  % Given clauses 345.
% 4.42/1.14  
% 4.42/1.14  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------