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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR091+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n003.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 07:07:19 AM UTC 2026

% Result   : Theorem 3.27s 0.99s
% Output   : CNFRefutation 3.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   76 (  42 unt;   0 def)
%            Number of atoms       :  183 (   0 equ)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  187 (  80   ~;  87   |;  15   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  13 con; 0-2 aty)
%            Number of variables   :   45 (   2 sgn  17   !;   4   ?)

% 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_6568,axiom,
    ! [V__BIO,V__PROC] :
      ( ( s__instance(V__BIO,s__Object)
        & s__instance(V__PROC,s__Process) )
     => ( ( s__patient(V__PROC,V__BIO)
          & s__instance(V__PROC,s__TherapeuticProcess) )
       => ( ? [V__ORG] :
              ( s__part(V__BIO,V__ORG)
              & s__instance(V__ORG,s__Organism)
              & s__instance(V__ORG,s__Object) )
          | s__instance(V__BIO,s__Organism) ) ) ),
    file('theBenchmark.p',kb_SUMO_6568) ).

fof(prove_from_SUMO_MILO,conjecture,
    ? [V_X] :
      ( s__part(s__Bio18_1,V_X)
      & s__instance(V_X,s__Organism) ),
    file('theBenchmark.p',prove_from_SUMO_MILO) ).

fof(prove_from_SUMO_MILO_neg,negated_conjecture,
    ~ ? [V_X] :
        ( s__part(s__Bio18_1,V_X)
        & s__instance(V_X,s__Organism) ),
    inference(assume_negation,[status(cth)],[prove_from_SUMO_MILO]) ).

fof(nnf_37,plain,
    ! [V__BIO,V__PROC] :
      ( ? [V__ORG] :
          ( s__part(V__BIO,V__ORG)
          & s__instance(V__ORG,s__Organism)
          & s__instance(V__ORG,s__Object) )
      | s__instance(V__BIO,s__Organism)
      | ~ s__patient(V__PROC,V__BIO)
      | ~ s__instance(V__PROC,s__TherapeuticProcess)
      | ~ s__instance(V__BIO,s__Object)
      | ~ s__instance(V__PROC,s__Process) ),
    inference(fof_nnf,[status(thm)],[kb_SUMO_6568]) ).

fof(sk_kb_SUMO_6568_sk,plain,
    ! [V__BIO,V__PROC] :
      ( ( s__part(V__BIO,sK0(V__BIO,V__PROC))
        & s__instance(sK0(V__BIO,V__PROC),s__Organism)
        & s__instance(sK0(V__BIO,V__PROC),s__Object) )
      | s__instance(V__BIO,s__Organism)
      | ~ s__patient(V__PROC,V__BIO)
      | ~ s__instance(V__PROC,s__TherapeuticProcess)
      | ~ s__instance(V__BIO,s__Object)
      | ~ s__instance(V__PROC,s__Process) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(V__ORG,sK0(V__BIO,V__PROC))],[nnf_37]) ).

fof(sk_kb_SUMO_6568,plain,
    ( ! [VAR_0,VAR_1] :
        ( s__part(VAR_1,sK0(VAR_1,VAR_0))
        | s__instance(VAR_1,s__Organism)
        | ~ s__patient(VAR_0,VAR_1)
        | ~ s__instance(VAR_0,s__TherapeuticProcess)
        | ~ s__instance(VAR_1,s__Object)
        | ~ s__instance(VAR_0,s__Process) )
    & ! [VAR_0,VAR_1] :
        ( s__instance(sK0(VAR_1,VAR_0),s__Organism)
        | s__instance(VAR_1,s__Organism)
        | ~ s__patient(VAR_0,VAR_1)
        | ~ s__instance(VAR_0,s__TherapeuticProcess)
        | ~ s__instance(VAR_1,s__Object)
        | ~ s__instance(VAR_0,s__Process) )
    & ! [VAR_0,VAR_1] :
        ( s__instance(sK0(VAR_1,VAR_0),s__Object)
        | s__instance(VAR_1,s__Organism)
        | ~ s__patient(VAR_0,VAR_1)
        | ~ s__instance(VAR_0,s__TherapeuticProcess)
        | ~ s__instance(VAR_1,s__Object)
        | ~ s__instance(VAR_0,s__Process) ) ),
    inference(cnf_transformation,[status(thm)],[sk_kb_SUMO_6568_sk]) ).

cnf(c_67,plain,
    ( s__instance(sK0(B,A),s__Organism)
    | s__instance(B,s__Organism)
    | ~ s__patient(A,B)
    | ~ s__instance(A,s__TherapeuticProcess)
    | ~ s__instance(B,s__Object)
    | ~ s__instance(A,s__Process) ),
    inference(split_conjunct,[status(thm)],[sk_kb_SUMO_6568]) ).

cnf(c_68,plain,
    ( s__part(B,sK0(B,A))
    | s__instance(B,s__Organism)
    | ~ s__patient(A,B)
    | ~ s__instance(A,s__TherapeuticProcess)
    | ~ s__instance(B,s__Object)
    | ~ s__instance(A,s__Process) ),
    inference(split_conjunct,[status(thm)],[sk_kb_SUMO_6568]) ).

fof(kb_SUMO_10964,axiom,
    s__subclass(s__Process,s__Entity),
    file('theBenchmark.p',kb_SUMO_10964) ).

cnf(c_86,plain,
    s__subclass(s__Process,s__Entity),
    inference(clausify,[status(thm)],[kb_SUMO_10964]) ).

fof(kb_SUMO_15377,axiom,
    s__subclass(s__TherapeuticProcess,s__Process),
    file('theBenchmark.p',kb_SUMO_15377) ).

cnf(c_101,plain,
    s__subclass(s__TherapeuticProcess,s__Process),
    inference(clausify,[status(thm)],[kb_SUMO_15377]) ).

fof(kb_SUMO_15379,axiom,
    s__subclass(s__TherapeuticProcess,s__Entity),
    file('theBenchmark.p',kb_SUMO_15379) ).

cnf(c_103,plain,
    s__subclass(s__TherapeuticProcess,s__Entity),
    inference(clausify,[status(thm)],[kb_SUMO_15379]) ).

fof(kb_SUMO_16560,axiom,
    s__subclass(s__AnatomicalStructure,s__CorpuscularObject),
    file('theBenchmark.p',kb_SUMO_16560) ).

cnf(c_108,plain,
    s__subclass(s__AnatomicalStructure,s__CorpuscularObject),
    inference(clausify,[status(thm)],[kb_SUMO_16560]) ).

fof(kb_SUMO_20583,axiom,
    s__subclass(s__PureSubstance,s__Object),
    file('theBenchmark.p',kb_SUMO_20583) ).

cnf(c_119,plain,
    s__subclass(s__PureSubstance,s__Object),
    inference(clausify,[status(thm)],[kb_SUMO_20583]) ).

cnf(c_121,plain,
    ( s__instance(A,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26]) ).

cnf(c_122,plain,
    ( s__instance(B,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26]) ).

cnf(c_123,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]) ).

fof(kb_SUMO_616,axiom,
    s__subclass(s__SelfConnectedObject,s__Object),
    file('theBenchmark.p',kb_SUMO_616) ).

cnf(c_131,plain,
    s__subclass(s__SelfConnectedObject,s__Object),
    inference(clausify,[status(thm)],[kb_SUMO_616]) ).

fof(kb_SUMO_723,axiom,
    s__subclass(s__CorpuscularObject,s__SelfConnectedObject),
    file('theBenchmark.p',kb_SUMO_723) ).

cnf(c_136,plain,
    s__subclass(s__CorpuscularObject,s__SelfConnectedObject),
    inference(clausify,[status(thm)],[kb_SUMO_723]) ).

fof(kb_SUMO_7121,axiom,
    s__subclass(s__OrganicObject,s__CorpuscularObject),
    file('theBenchmark.p',kb_SUMO_7121) ).

cnf(c_151,plain,
    s__subclass(s__OrganicObject,s__CorpuscularObject),
    inference(clausify,[status(thm)],[kb_SUMO_7121]) ).

fof(kb_SUMO_7128,axiom,
    s__subclass(s__Organism,s__OrganicObject),
    file('theBenchmark.p',kb_SUMO_7128) ).

cnf(c_153,plain,
    s__subclass(s__Organism,s__OrganicObject),
    inference(clausify,[status(thm)],[kb_SUMO_7128]) ).

fof(kb_SUMO_8639,axiom,
    s__subclass(s__Organism,s__SelfConnectedObject),
    file('theBenchmark.p',kb_SUMO_8639) ).

cnf(c_164,plain,
    s__subclass(s__Organism,s__SelfConnectedObject),
    inference(clausify,[status(thm)],[kb_SUMO_8639]) ).

fof(local_1,axiom,
    s__instance(s__Proc18_1,s__TherapeuticProcess),
    file('theBenchmark.p',local_1) ).

cnf(c_201,plain,
    s__instance(s__Proc18_1,s__TherapeuticProcess),
    inference(clausify,[status(thm)],[local_1]) ).

fof(local_2,axiom,
    s__instance(s__Bio18_1,s__OrganicObject),
    file('theBenchmark.p',local_2) ).

cnf(c_202,plain,
    s__instance(s__Bio18_1,s__OrganicObject),
    inference(clausify,[status(thm)],[local_2]) ).

fof(local_3,axiom,
    s__patient(s__Proc18_1,s__Bio18_1),
    file('theBenchmark.p',local_3) ).

cnf(c_203,plain,
    s__patient(s__Proc18_1,s__Bio18_1),
    inference(clausify,[status(thm)],[local_3]) ).

fof(local_4,axiom,
    ~ s__instance(s__Bio18_1,s__Organism),
    file('theBenchmark.p',local_4) ).

cnf(c_204,plain,
    ~ s__instance(s__Bio18_1,s__Organism),
    inference(clausify,[status(thm)],[local_4]) ).

cnf(c_205,negated_conjecture,
    ( ~ s__part(s__Bio18_1,A)
    | ~ s__instance(A,s__Organism) ),
    inference(clausify,[status(thm)],[prove_from_SUMO_MILO_neg]) ).

cnf(c_217,plain,
    s__instance(s__TherapeuticProcess,s__SetOrClass),
    inference(resolve,[status(thm)],[c_121,c_103]) ).

cnf(c_222,plain,
    s__instance(s__Process,s__SetOrClass),
    inference(resolve,[status(thm)],[c_121,c_86]) ).

cnf(c_257,plain,
    s__instance(s__SelfConnectedObject,s__SetOrClass),
    inference(resolve,[status(thm)],[c_122,c_164]) ).

cnf(c_260,plain,
    s__instance(s__OrganicObject,s__SetOrClass),
    inference(resolve,[status(thm)],[c_122,c_153]) ).

cnf(c_262,plain,
    s__instance(s__Object,s__SetOrClass),
    inference(resolve,[status(thm)],[c_122,c_119]) ).

cnf(c_264,plain,
    s__instance(s__CorpuscularObject,s__SetOrClass),
    inference(resolve,[status(thm)],[c_122,c_108]) ).

cnf(c_1862,plain,
    ( s__part(s__Bio18_1,sK0(s__Bio18_1,s__Proc18_1))
    | s__instance(s__Bio18_1,s__Organism)
    | ~ s__instance(s__Proc18_1,s__TherapeuticProcess)
    | ~ s__instance(s__Bio18_1,s__Object)
    | ~ s__instance(s__Proc18_1,s__Process) ),
    inference(resolve,[status(thm)],[c_203,c_68]) ).

cnf(c_1863,plain,
    ( s__part(s__Bio18_1,sK0(s__Bio18_1,s__Proc18_1))
    | s__instance(s__Bio18_1,s__Organism)
    | ~ s__instance(s__Bio18_1,s__Object)
    | ~ s__instance(s__Proc18_1,s__Process) ),
    inference(resolve,[status(thm)],[c_201,c_1862]) ).

cnf(c_298,plain,
    ( s__part(s__Bio18_1,sK0(s__Bio18_1,s__Proc18_1))
    | ~ s__instance(s__Bio18_1,s__Object)
    | ~ s__instance(s__Proc18_1,s__Process) ),
    inference(resolve,[status(thm)],[c_204,c_1863]) ).

cnf(c_1864,plain,
    ( s__instance(sK0(s__Bio18_1,s__Proc18_1),s__Organism)
    | s__instance(s__Bio18_1,s__Organism)
    | ~ s__instance(s__Proc18_1,s__TherapeuticProcess)
    | ~ s__instance(s__Bio18_1,s__Object)
    | ~ s__instance(s__Proc18_1,s__Process) ),
    inference(resolve,[status(thm)],[c_203,c_67]) ).

cnf(c_1865,plain,
    ( s__instance(sK0(s__Bio18_1,s__Proc18_1),s__Organism)
    | s__instance(s__Bio18_1,s__Organism)
    | ~ s__instance(s__Bio18_1,s__Object)
    | ~ s__instance(s__Proc18_1,s__Process) ),
    inference(resolve,[status(thm)],[c_201,c_1864]) ).

cnf(c_299,plain,
    ( s__instance(sK0(s__Bio18_1,s__Proc18_1),s__Organism)
    | ~ s__instance(s__Bio18_1,s__Object)
    | ~ s__instance(s__Proc18_1,s__Process) ),
    inference(resolve,[status(thm)],[c_204,c_1865]) ).

cnf(c_1866,plain,
    ( s__instance(A,s__Process)
    | ~ s__instance(A,s__TherapeuticProcess)
    | ~ s__instance(s__TherapeuticProcess,s__SetOrClass)
    | ~ s__instance(s__Process,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_123,c_101]) ).

cnf(c_1867,plain,
    ( s__instance(A,s__Process)
    | ~ s__instance(A,s__TherapeuticProcess)
    | ~ s__instance(s__TherapeuticProcess,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_222,c_1866]) ).

cnf(c_325,plain,
    ( s__instance(A,s__Process)
    | ~ s__instance(A,s__TherapeuticProcess) ),
    inference(resolve,[status(thm)],[c_217,c_1867]) ).

cnf(c_1868,plain,
    ( s__instance(A,s__Object)
    | ~ s__instance(A,s__SelfConnectedObject)
    | ~ s__instance(s__SelfConnectedObject,s__SetOrClass)
    | ~ s__instance(s__Object,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_131,c_123]) ).

cnf(c_1869,plain,
    ( s__instance(A,s__Object)
    | ~ s__instance(A,s__SelfConnectedObject)
    | ~ s__instance(s__SelfConnectedObject,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_262,c_1868]) ).

cnf(c_724,plain,
    ( s__instance(A,s__Object)
    | ~ s__instance(A,s__SelfConnectedObject) ),
    inference(resolve,[status(thm)],[c_257,c_1869]) ).

cnf(c_1870,plain,
    ( s__instance(A,s__SelfConnectedObject)
    | ~ s__instance(A,s__CorpuscularObject)
    | ~ s__instance(s__CorpuscularObject,s__SetOrClass)
    | ~ s__instance(s__SelfConnectedObject,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_136,c_123]) ).

cnf(c_1871,plain,
    ( s__instance(A,s__SelfConnectedObject)
    | ~ s__instance(A,s__CorpuscularObject)
    | ~ s__instance(s__CorpuscularObject,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_257,c_1870]) ).

cnf(c_736,plain,
    ( s__instance(A,s__SelfConnectedObject)
    | ~ s__instance(A,s__CorpuscularObject) ),
    inference(resolve,[status(thm)],[c_264,c_1871]) ).

cnf(c_1872,plain,
    ( s__instance(A,s__CorpuscularObject)
    | ~ s__instance(A,s__OrganicObject)
    | ~ s__instance(s__OrganicObject,s__SetOrClass)
    | ~ s__instance(s__CorpuscularObject,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_151,c_123]) ).

cnf(c_1873,plain,
    ( s__instance(A,s__CorpuscularObject)
    | ~ s__instance(A,s__OrganicObject)
    | ~ s__instance(s__OrganicObject,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_264,c_1872]) ).

cnf(c_1265,plain,
    ( s__instance(A,s__CorpuscularObject)
    | ~ s__instance(A,s__OrganicObject) ),
    inference(resolve,[status(thm)],[c_260,c_1873]) ).

cnf(c_1644,plain,
    s__instance(s__Proc18_1,s__Process),
    inference(resolve,[status(thm)],[c_201,c_325]) ).

cnf(c_1654,plain,
    ( s__instance(sK0(s__Bio18_1,s__Proc18_1),s__Organism)
    | ~ s__instance(s__Bio18_1,s__Object) ),
    inference(resolve,[status(thm)],[c_1644,c_299]) ).

cnf(c_1655,plain,
    ( s__part(s__Bio18_1,sK0(s__Bio18_1,s__Proc18_1))
    | ~ s__instance(s__Bio18_1,s__Object) ),
    inference(resolve,[status(thm)],[c_1644,c_298]) ).

cnf(c_1824,plain,
    s__instance(s__Bio18_1,s__CorpuscularObject),
    inference(resolve,[status(thm)],[c_1265,c_202]) ).

cnf(c_1825,plain,
    s__instance(s__Bio18_1,s__SelfConnectedObject),
    inference(resolve,[status(thm)],[c_1824,c_736]) ).

cnf(c_1830,plain,
    s__instance(s__Bio18_1,s__Object),
    inference(resolve,[status(thm)],[c_1825,c_724]) ).

cnf(c_1835,plain,
    s__part(s__Bio18_1,sK0(s__Bio18_1,s__Proc18_1)),
    inference(resolve,[status(thm)],[c_1830,c_1655]) ).

cnf(c_1836,plain,
    s__instance(sK0(s__Bio18_1,s__Proc18_1),s__Organism),
    inference(resolve,[status(thm)],[c_1830,c_1654]) ).

cnf(c_1874,negated_conjecture,
    ~ s__instance(sK0(s__Bio18_1,s__Proc18_1),s__Organism),
    inference(resolve,[status(thm)],[c_1835,c_205]) ).

cnf(c_1861,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_1836,c_1874]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR091+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.03  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n003.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Sun Sep 27 00:51:09 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35  % Process 4147348 was started by sandbox on n003,
% 0.08/0.35  % Sun Sep 27 00:51:09 2026
% 0.08/0.35  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 3.27/0.99  
% 3.27/0.99  % SInE (scan): 136 to sos (tol 1.5x), 15 to usable (tol 2.0x), 37834 zapped, of 37985 axioms (depth 3).
% 3.27/0.99  
% 3.27/0.99  % From the command line: assign(max_seconds, 300).
% 3.27/0.99  
% 3.27/0.99  % given #500 (W,wt=6): 1010 s__ListLengthFn(s__ListFn_2(s__SymbolicString,s__Abstract)) = do_2.  [resolve(774,a,60,b),unit_del(a,228)].
% 3.27/0.99  
% 3.27/0.99  % SZS status Theorem for theBenchmark
% 3.27/0.99  
% 3.27/0.99  % Proof 1 at 0.33 (+ 0.14) seconds.
% 3.27/0.99  % Length of proof is 45.
% 3.27/0.99  % Level of proof is 8.
% 3.27/0.99  % Maximum clause weight is 115.000.
% 3.27/0.99  % Given clauses 552.
% 3.27/0.99  
% 3.27/0.99  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------