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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR091+1 : 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 : 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 07:07:19 AM UTC 2026

% Result   : Theorem 12.00s 2.21s
% Output   : CNFRefutation 12.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   58 (  30 unt;   0 def)
%            Number of atoms       :  153 (   0 equ)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  163 (  68   ~;  75   |;  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    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   37 (   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_5374,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_5374) ).

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

fof(prove_from_SUMO_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]) ).

fof(nnf_43,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_5374]) ).

fof(sk_kb_SUMO_5374_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_43]) ).

fof(sk_kb_SUMO_5374,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_5374_sk]) ).

cnf(c_87,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_5374]) ).

cnf(c_88,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_5374]) ).

fof(kb_SUMOcache_4819,axiom,
    s__subclass(s__Process,s__Entity),
    file('theBenchmark.p',kb_SUMOcache_4819) ).

cnf(c_115,plain,
    s__subclass(s__Process,s__Entity),
    inference(clausify,[status(thm)],[kb_SUMOcache_4819]) ).

fof(kb_SUMOcache_5537,axiom,
    s__subclass(s__TherapeuticProcess,s__Process),
    file('theBenchmark.p',kb_SUMOcache_5537) ).

cnf(c_146,plain,
    s__subclass(s__TherapeuticProcess,s__Process),
    inference(clausify,[status(thm)],[kb_SUMOcache_5537]) ).

fof(kb_SUMOcache_5540,axiom,
    s__subclass(s__TherapeuticProcess,s__Entity),
    file('theBenchmark.p',kb_SUMOcache_5540) ).

cnf(c_148,plain,
    s__subclass(s__TherapeuticProcess,s__Entity),
    inference(clausify,[status(thm)],[kb_SUMOcache_5540]) ).

fof(kb_SUMOcache_6044,axiom,
    s__subclass(s__Human,s__OrganicObject),
    file('theBenchmark.p',kb_SUMOcache_6044) ).

cnf(c_153,plain,
    s__subclass(s__Human,s__OrganicObject),
    inference(clausify,[status(thm)],[kb_SUMOcache_6044]) ).

cnf(c_183,plain,
    ( s__instance(A,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26]) ).

cnf(c_184,plain,
    ( s__instance(B,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26]) ).

cnf(c_185,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_SUMOcache_6034,axiom,
    s__subclass(s__OrganicObject,s__Object),
    file('theBenchmark.p',kb_SUMOcache_6034) ).

cnf(c_240,plain,
    s__subclass(s__OrganicObject,s__Object),
    inference(clausify,[status(thm)],[kb_SUMOcache_6034]) ).

fof(kb_SUMOcache_6386,axiom,
    s__subclass(s__Organism,s__Object),
    file('theBenchmark.p',kb_SUMOcache_6386) ).

cnf(c_253,plain,
    s__subclass(s__Organism,s__Object),
    inference(clausify,[status(thm)],[kb_SUMOcache_6386]) ).

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

cnf(c_265,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_266,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_267,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_268,plain,
    ~ s__instance(s__Bio18_1,s__Organism),
    inference(clausify,[status(thm)],[local_4]) ).

cnf(c_269,negated_conjecture,
    ( ~ s__part(s__Bio18_1,A)
    | ~ s__instance(A,s__Organism) ),
    inference(clausify,[status(thm)],[prove_from_SUMO_neg]) ).

cnf(c_285,plain,
    s__instance(s__TherapeuticProcess,s__SetOrClass),
    inference(resolve,[status(thm)],[c_183,c_148]) ).

cnf(c_289,plain,
    s__instance(s__Process,s__SetOrClass),
    inference(resolve,[status(thm)],[c_183,c_115]) ).

cnf(c_307,plain,
    s__instance(s__Object,s__SetOrClass),
    inference(resolve,[status(thm)],[c_184,c_253]) ).

cnf(c_312,plain,
    s__instance(s__OrganicObject,s__SetOrClass),
    inference(resolve,[status(thm)],[c_184,c_153]) ).

cnf(c_11658,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_267,c_88]) ).

cnf(c_11659,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_265,c_11658]) ).

cnf(c_320,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_268,c_11659]) ).

cnf(c_11660,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_267,c_87]) ).

cnf(c_11661,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_265,c_11660]) ).

cnf(c_321,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_268,c_11661]) ).

cnf(c_11662,plain,
    ( s__instance(s__Bio18_1,A)
    | ~ s__subclass(s__OrganicObject,A)
    | ~ s__instance(s__OrganicObject,s__SetOrClass)
    | ~ s__instance(A,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_185,c_266]) ).

cnf(c_375,plain,
    ( s__instance(s__Bio18_1,A)
    | ~ s__subclass(s__OrganicObject,A)
    | ~ s__instance(A,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_312,c_11662]) ).

cnf(c_541,plain,
    ( s__instance(B,s__Process)
    | ~ s__instance(B,A)
    | ~ s__subclass(A,s__Process)
    | ~ s__instance(A,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_289,c_185]) ).

cnf(c_11663,plain,
    ( s__instance(s__Bio18_1,s__Object)
    | ~ s__subclass(s__OrganicObject,s__Object) ),
    inference(resolve,[status(thm)],[c_375,c_307]) ).

cnf(c_5336,plain,
    s__instance(s__Bio18_1,s__Object),
    inference(resolve,[status(thm)],[c_240,c_11663]) ).

cnf(c_5358,plain,
    ( s__instance(sK0(s__Bio18_1,s__Proc18_1),s__Organism)
    | ~ s__instance(s__Proc18_1,s__Process) ),
    inference(resolve,[status(thm)],[c_5336,c_321]) ).

cnf(c_5359,plain,
    ( s__part(s__Bio18_1,sK0(s__Bio18_1,s__Proc18_1))
    | ~ s__instance(s__Proc18_1,s__Process) ),
    inference(resolve,[status(thm)],[c_5336,c_320]) ).

cnf(c_11664,plain,
    ( s__instance(s__Proc18_1,s__Process)
    | ~ s__subclass(s__TherapeuticProcess,s__Process)
    | ~ s__instance(s__TherapeuticProcess,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_541,c_265]) ).

cnf(c_11665,plain,
    ( s__instance(s__Proc18_1,s__Process)
    | ~ s__subclass(s__TherapeuticProcess,s__Process) ),
    inference(resolve,[status(thm)],[c_285,c_11664]) ).

cnf(c_11631,plain,
    s__instance(s__Proc18_1,s__Process),
    inference(resolve,[status(thm)],[c_146,c_11665]) ).

cnf(c_11634,plain,
    s__part(s__Bio18_1,sK0(s__Bio18_1,s__Proc18_1)),
    inference(resolve,[status(thm)],[c_11631,c_5359]) ).

cnf(c_11635,plain,
    s__instance(sK0(s__Bio18_1,s__Proc18_1),s__Organism),
    inference(resolve,[status(thm)],[c_11631,c_5358]) ).

cnf(c_11666,negated_conjecture,
    ~ s__instance(sK0(s__Bio18_1,s__Proc18_1),s__Organism),
    inference(resolve,[status(thm)],[c_11634,c_269]) ).

cnf(c_11657,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_11635,c_11666]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR091+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.03  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35  % Computer : n016.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 300
% 0.07/0.35  % DateTime : Sun Sep 27 00:54:30 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.07/0.35  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.07/0.35  % Process 2080764 was started by sandbox on n016,
% 0.07/0.35  % Sun Sep 27 00:54:30 2026
% 0.07/0.35  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 12.00/2.21  
% 12.00/2.21  % SInE (scan): 190 to sos (tol 1.5x), 24 to usable (tol 2.0x), 14577 zapped, of 14791 axioms (depth 3).
% 12.00/2.21  
% 12.00/2.21  % From the command line: assign(max_seconds, 300).
% 12.00/2.21  
% 12.00/2.21  % given #500 (W,wt=7): 1617 s__ListOrderFn(s__ListFn_2(s__Animal,s__Abstract),do_2) = s__Abstract.  [para(1613(a,1),72(a,1,2))].
% 12.00/2.21  
% 12.00/2.21  % given #1000 (T,wt=6): 5071 -s__instance(A,s__Animal) | s__instance(A,s__Physical).  [resolve(367,a,309,a),unit_del(a,159)].
% 12.00/2.21  
% 12.00/2.21  % given #1500 (W,wt=6): 7175 s__ListLengthFn(s__ListFn_2(s__Human,s__OrganicObject)) = do_2.  [resolve(415,a,312,a),unit_del(a,153)].
% 12.00/2.21  
% 12.00/2.21  % SZS status Theorem for theBenchmark
% 12.00/2.21  
% 12.00/2.21  % Proof 1 at 1.30 (+ 0.34) seconds.
% 12.00/2.21  % Length of proof is 35.
% 12.00/2.21  % Level of proof is 7.
% 12.00/2.21  % Maximum clause weight is 115.000.
% 12.00/2.21  % Given clauses 1643.
% 12.00/2.21  
% 12.00/2.21  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------