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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR100+4 : 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 : n009.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 07:07:25 AM UTC 2026

% Result   : Theorem 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   33 (  19 unt;   0 def)
%            Number of atoms       :   71 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   69 (  31   ~;  27   |;   6   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   24 (   2 sgn   8   !;   0   ?)

% 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_1294,axiom,
    ! [V__INST1,V__INST2,V__INST3] :
      ( ( s__instance(V__INST1,s__SetOrClass)
        & s__instance(V__INST2,s__SetOrClass)
        & s__instance(V__INST3,s__SetOrClass) )
     => ( ( s__subclass(V__INST2,V__INST3)
          & s__subclass(V__INST1,V__INST2) )
       => s__subclass(V__INST1,V__INST3) ) ),
    file('theBenchmark.p',kb_SUMO_1294) ).

fof(prove_from_SUMO,conjecture,
    s__instance(s__Animal31,s__Class31_1),
    file('theBenchmark.p',prove_from_SUMO) ).

fof(prove_from_SUMO_neg,negated_conjecture,
    ~ s__instance(s__Animal31,s__Class31_1),
    inference(assume_negation,[status(cth)],[prove_from_SUMO]) ).

cnf(c_42,plain,
    ( s__instance(A,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26]) ).

cnf(c_43,plain,
    ( s__instance(B,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26]) ).

cnf(c_44,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_50,plain,
    ( s__subclass(C,A)
    | ~ s__subclass(B,A)
    | ~ s__subclass(C,B)
    | ~ s__instance(C,s__SetOrClass)
    | ~ s__instance(B,s__SetOrClass)
    | ~ s__instance(A,s__SetOrClass) ),
    inference(clausify,[status(thm)],[kb_SUMO_1294]) ).

fof(local_4,axiom,
    s__subclass(s__Class31_1,s__Animal),
    file('theBenchmark.p',local_4) ).

cnf(c_55,plain,
    s__subclass(s__Class31_1,s__Animal),
    inference(clausify,[status(thm)],[local_4]) ).

fof(local_7,axiom,
    s__subclass(s__Class31_1,s__Class31_2),
    file('theBenchmark.p',local_7) ).

cnf(c_58,plain,
    s__subclass(s__Class31_1,s__Class31_2),
    inference(clausify,[status(thm)],[local_7]) ).

fof(local_8,axiom,
    s__subclass(s__Class31_2,s__Class31_3),
    file('theBenchmark.p',local_8) ).

cnf(c_59,plain,
    s__subclass(s__Class31_2,s__Class31_3),
    inference(clausify,[status(thm)],[local_8]) ).

fof(local_9,axiom,
    s__subclass(s__Class31_3,s__Class31_1),
    file('theBenchmark.p',local_9) ).

cnf(c_60,plain,
    s__subclass(s__Class31_3,s__Class31_1),
    inference(clausify,[status(thm)],[local_9]) ).

fof(local_10,axiom,
    s__instance(s__Animal31,s__Class31_2),
    file('theBenchmark.p',local_10) ).

cnf(c_61,plain,
    s__instance(s__Animal31,s__Class31_2),
    inference(clausify,[status(thm)],[local_10]) ).

cnf(c_62,negated_conjecture,
    ~ s__instance(s__Animal31,s__Class31_1),
    inference(clausify,[status(thm)],[prove_from_SUMO_neg]) ).

cnf(c_70,plain,
    s__instance(s__Class31_1,s__SetOrClass),
    inference(resolve,[status(thm)],[c_42,c_55]) ).

cnf(c_71,plain,
    s__instance(s__Class31_2,s__SetOrClass),
    inference(resolve,[status(thm)],[c_43,c_58]) ).

cnf(c_72,plain,
    s__instance(s__Class31_3,s__SetOrClass),
    inference(resolve,[status(thm)],[c_42,c_60]) ).

cnf(c_105,plain,
    ( s__instance(B,s__Class31_1)
    | ~ s__instance(B,A)
    | ~ s__subclass(A,s__Class31_1)
    | ~ s__instance(A,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_44,c_70]) ).

cnf(c_106,plain,
    ( s__instance(A,s__Class31_1)
    | ~ s__instance(A,s__Class31_2)
    | ~ s__subclass(s__Class31_2,s__Class31_1) ),
    inference(resolve,[status(thm)],[c_105,c_71]) ).

cnf(c_107,plain,
    ( s__instance(s__Animal31,s__Class31_1)
    | ~ s__subclass(s__Class31_2,s__Class31_1) ),
    inference(resolve,[status(thm)],[c_106,c_61]) ).

cnf(c_91,negated_conjecture,
    ~ s__subclass(s__Class31_2,s__Class31_1),
    inference(resolve,[status(thm)],[c_107,c_62]) ).

cnf(c_108,plain,
    ( s__subclass(B,s__Class31_1)
    | ~ s__subclass(A,s__Class31_1)
    | ~ s__subclass(B,A)
    | ~ s__instance(B,s__SetOrClass)
    | ~ s__instance(A,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_50,c_70]) ).

cnf(c_109,plain,
    ( s__subclass(A,s__Class31_1)
    | ~ s__subclass(s__Class31_3,s__Class31_1)
    | ~ s__subclass(A,s__Class31_3)
    | ~ s__instance(A,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_108,c_72]) ).

cnf(c_110,plain,
    ( s__subclass(s__Class31_2,s__Class31_1)
    | ~ s__subclass(s__Class31_3,s__Class31_1)
    | ~ s__subclass(s__Class31_2,s__Class31_3) ),
    inference(resolve,[status(thm)],[c_109,c_71]) ).

cnf(c_111,plain,
    ( s__subclass(s__Class31_2,s__Class31_1)
    | ~ s__subclass(s__Class31_2,s__Class31_3) ),
    inference(resolve,[status(thm)],[c_110,c_60]) ).

cnf(c_112,plain,
    ~ s__subclass(s__Class31_2,s__Class31_3),
    inference(resolve,[status(thm)],[c_111,c_91]) ).

cnf(c_104,plain,
    $false,
    inference(resolve,[status(thm)],[c_59,c_112]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR100+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37  % Computer : n009.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Sep 27 00:54:59 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.09/0.38  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.38  % Process 1505261 was started by sandbox2 on n009,
% 0.09/0.38  % Sun Sep 27 00:54:59 2026
% 0.09/0.38  % 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  % SInE (scan): 32 to sos (tol 1.5x), 3 to usable (tol 2.0x), 7192 zapped, of 7227 axioms (depth 3).
% 0.19/0.49  
% 0.19/0.49  % From the command line: assign(max_seconds, 300).
% 0.19/0.49  
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  
% 0.19/0.49  % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.19/0.49  % Length of proof is 19.
% 0.19/0.49  % Level of proof is 4.
% 0.19/0.49  % Maximum clause weight is 123.000.
% 0.19/0.49  % Given clauses 27.
% 0.19/0.49  
% 0.19/0.49  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------