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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR092+2 : 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 : n010.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 3.70s 1.16s
% Output   : CNFRefutation 3.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   53 (  27 unt;   0 def)
%            Number of atoms       :  105 (   5 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   94 (  42   ~;  38   |;   7   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :   33 (   2 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_93,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_93) ).

fof(kb_SUMO_226,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_226) ).

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

fof(prove_from_SUMO_MILO_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_MILO]) ).

fof(kb_SUMO_10445,axiom,
    s__subclass(s__Mammal,s__Organism),
    file('theBenchmark.p',kb_SUMO_10445) ).

cnf(c_589,plain,
    s__subclass(s__Mammal,s__Organism),
    inference(clausify,[status(thm)],[kb_SUMO_10445]) ).

fof(kb_SUMO_10448,axiom,
    s__subclass(s__Mammal,s__Entity),
    file('theBenchmark.p',kb_SUMO_10448) ).

cnf(c_592,plain,
    s__subclass(s__Mammal,s__Entity),
    inference(clausify,[status(thm)],[kb_SUMO_10448]) ).

fof(kb_SUMO_15957,axiom,
    s__subclass(s__Human,s__Organism),
    file('theBenchmark.p',kb_SUMO_15957) ).

cnf(c_620,plain,
    s__subclass(s__Human,s__Organism),
    inference(clausify,[status(thm)],[kb_SUMO_15957]) ).

fof(kb_SUMO_18600,axiom,
    s__subclass(s__Man,s__Mammal),
    file('theBenchmark.p',kb_SUMO_18600) ).

cnf(c_644,plain,
    s__subclass(s__Man,s__Mammal),
    inference(clausify,[status(thm)],[kb_SUMO_18600]) ).

fof(kb_SUMO_18779,axiom,
    s__subclass(s__WarmBloodedVertebrate,s__Organism),
    file('theBenchmark.p',kb_SUMO_18779) ).

cnf(c_651,plain,
    s__subclass(s__WarmBloodedVertebrate,s__Organism),
    inference(clausify,[status(thm)],[kb_SUMO_18779]) ).

cnf(c_678,plain,
    ( s__instance(A,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26]) ).

cnf(c_679,plain,
    ( s__instance(B,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26]) ).

cnf(c_680,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_682,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_93]) ).

cnf(c_685,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_226]) ).

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

cnf(c_802,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_803,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_804,plain,
    s__son(s__Man22_1,s__Ancestor22_1),
    inference(clausify,[status(thm)],[local_3]) ).

cnf(c_805,negated_conjecture,
    ( A != s__Ancestor22_1
    | ~ s__ancestor(s__Man22_1,A) ),
    inference(clausify,[status(thm)],[prove_from_SUMO_MILO_neg]) ).

cnf(c_806,negated_conjecture,
    ( s__Ancestor22_1 != A
    | ~ s__ancestor(s__Man22_1,A) ),
    inference(copy,[status(thm)],[c_805]) ).

cnf(c_845,plain,
    s__instance(s__Man,s__SetOrClass),
    inference(resolve,[status(thm)],[c_678,c_644]) ).

cnf(c_854,plain,
    s__instance(s__Human,s__SetOrClass),
    inference(resolve,[status(thm)],[c_678,c_620]) ).

cnf(c_861,plain,
    s__instance(s__Mammal,s__SetOrClass),
    inference(resolve,[status(thm)],[c_678,c_592]) ).

cnf(c_895,plain,
    s__instance(s__Organism,s__SetOrClass),
    inference(resolve,[status(thm)],[c_679,c_651]) ).

cnf(c_3085,plain,
    ( s__instance(A,s__Mammal)
    | ~ s__instance(A,s__Man)
    | ~ s__instance(s__Man,s__SetOrClass)
    | ~ s__instance(s__Mammal,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_680,c_644]) ).

cnf(c_3086,plain,
    ( s__instance(A,s__Mammal)
    | ~ s__instance(A,s__Man)
    | ~ s__instance(s__Man,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_861,c_3085]) ).

cnf(c_915,plain,
    ( s__instance(A,s__Mammal)
    | ~ s__instance(A,s__Man) ),
    inference(resolve,[status(thm)],[c_845,c_3086]) ).

cnf(c_3087,plain,
    ( s__instance(A,s__Organism)
    | ~ s__instance(A,s__Human)
    | ~ s__instance(s__Human,s__SetOrClass)
    | ~ s__instance(s__Organism,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_680,c_620]) ).

cnf(c_3088,plain,
    ( s__instance(A,s__Organism)
    | ~ s__instance(A,s__Human)
    | ~ s__instance(s__Human,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_895,c_3087]) ).

cnf(c_934,plain,
    ( s__instance(A,s__Organism)
    | ~ s__instance(A,s__Human) ),
    inference(resolve,[status(thm)],[c_854,c_3088]) ).

cnf(c_3089,plain,
    ( s__instance(A,s__Organism)
    | ~ s__instance(A,s__Mammal)
    | ~ s__instance(s__Mammal,s__SetOrClass)
    | ~ s__instance(s__Organism,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_680,c_589]) ).

cnf(c_3090,plain,
    ( s__instance(A,s__Organism)
    | ~ s__instance(A,s__Mammal)
    | ~ s__instance(s__Mammal,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_895,c_3089]) ).

cnf(c_959,plain,
    ( s__instance(A,s__Organism)
    | ~ s__instance(A,s__Mammal) ),
    inference(resolve,[status(thm)],[c_861,c_3090]) ).

cnf(c_1030,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_685,c_804]) ).

cnf(c_2723,plain,
    s__instance(s__Man22_1,s__Mammal),
    inference(resolve,[status(thm)],[c_915,c_802]) ).

cnf(c_2924,plain,
    s__instance(s__Ancestor22_1,s__Organism),
    inference(resolve,[status(thm)],[c_934,c_803]) ).

cnf(c_2928,plain,
    ( s__parent(s__Man22_1,s__Ancestor22_1)
    | ~ s__instance(s__Man22_1,s__Organism) ),
    inference(resolve,[status(thm)],[c_2924,c_1030]) ).

cnf(c_3056,plain,
    s__instance(s__Man22_1,s__Organism),
    inference(resolve,[status(thm)],[c_959,c_2723]) ).

cnf(c_3058,plain,
    s__parent(s__Man22_1,s__Ancestor22_1),
    inference(resolve,[status(thm)],[c_3056,c_2928]) ).

cnf(c_3091,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_3058,c_682]) ).

cnf(c_3092,plain,
    ( s__ancestor(s__Man22_1,s__Ancestor22_1)
    | ~ s__instance(s__Man22_1,s__Organism) ),
    inference(resolve,[status(thm)],[c_2924,c_3091]) ).

cnf(c_3075,plain,
    s__ancestor(s__Man22_1,s__Ancestor22_1),
    inference(resolve,[status(thm)],[c_3056,c_3092]) ).

cnf(c_3093,negated_conjecture,
    s__Ancestor22_1 != s__Ancestor22_1,
    inference(resolve,[status(thm)],[c_3075,c_806]) ).

cnf(c_3084,negated_conjecture,
    $false,
    inference(copy,[status(thm)],[c_3093]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR092+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n010.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.37  % CPULimit : 300
% 0.08/0.37  % WCLimit  : 300
% 0.08/0.37  % DateTime : Sun Sep 27 00:50:33 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.08/0.37  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.37  % Process 409608 was started by sandbox2 on n010,
% 0.08/0.37  % Sun Sep 27 00:50:33 2026
% 0.08/0.37  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 3.70/1.16  
% 3.70/1.16  % SInE (scan): 496 to sos (tol 1.5x), 57 to usable (tol 2.0x), 37431 zapped, of 37984 axioms (depth 3).
% 3.70/1.16  
% 3.70/1.16  % From the command line: assign(max_seconds, 300).
% 3.70/1.16  
% 3.70/1.16  % SZS status Theorem for theBenchmark
% 3.70/1.16  
% 3.70/1.16  % Proof 1 at 0.37 (+ 0.12) seconds.
% 3.70/1.16  % Length of proof is 35.
% 3.70/1.16  % Level of proof is 8.
% 3.70/1.16  % Maximum clause weight is 120.000.
% 3.70/1.16  % Given clauses 265.
% 3.70/1.16  
% 3.70/1.16  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------