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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR089+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 : n007.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 07:07:18 AM UTC 2026

% Result   : Theorem 15.03s 2.67s
% Output   : CNFRefutation 15.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   59 (  34 unt;   0 def)
%            Number of atoms       :  120 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  109 (  48   ~;  45   |;   7   &)
%                                         (   1 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :   32 (   2 sgn  11   !;   1   ?)

% 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_4658,axiom,
    ! [V__OBJ1,V__OBJ2] :
      ( ( s__instance(V__OBJ1,s__Object)
        & s__instance(V__OBJ2,s__Object) )
     => ( s__connected(V__OBJ1,V__OBJ2)
       => ( s__overlapsSpatially(V__OBJ1,V__OBJ2)
          | s__meetsSpatially(V__OBJ1,V__OBJ2) ) ) ),
    file('theBenchmark.p',kb_SUMO_4658) ).

fof(kb_SUMO_6522,axiom,
    ! [V__COMP2,V__COMP1] :
      ( ( s__instance(V__COMP2,s__EngineeringComponent)
        & s__instance(V__COMP1,s__EngineeringComponent) )
     => ( s__connectedEngineeringComponents(V__COMP1,V__COMP2)
      <=> ? [V__CONNECTION] :
            ( s__connectsEngineeringComponents(V__CONNECTION,V__COMP1,V__COMP2)
            & s__instance(V__CONNECTION,s__EngineeringConnection) ) ) ),
    file('theBenchmark.p',kb_SUMO_6522) ).

fof(kb_SUMO_55,axiom,
    ! [V__ROW1,V__ROW2] :
      ( ( s__instance(V__ROW1,s__EngineeringComponent)
        & s__instance(V__ROW2,s__EngineeringComponent) )
     => ( s__connectedEngineeringComponents(V__ROW1,V__ROW2)
       => s__connected(V__ROW1,V__ROW2) ) ),
    file('theBenchmark.p',kb_SUMO_55) ).

fof(prove_from_SUMO,conjecture,
    s__meetsSpatially(s__Object16_2,s__Object16_3),
    file('theBenchmark.p',prove_from_SUMO) ).

fof(prove_from_SUMO_neg,negated_conjecture,
    ~ s__meetsSpatially(s__Object16_2,s__Object16_3),
    inference(assume_negation,[status(cth)],[prove_from_SUMO]) ).

cnf(c_277,plain,
    ( s__connected(B,A)
    | ~ s__connectedEngineeringComponents(B,A)
    | ~ s__instance(B,s__EngineeringComponent)
    | ~ s__instance(A,s__EngineeringComponent) ),
    inference(clausify,[status(thm)],[kb_SUMO_55]) ).

fof(kb_SUMO_6388,axiom,
    s__subclass(s__Artifact,s__Object),
    file('theBenchmark.p',kb_SUMO_6388) ).

cnf(c_618,plain,
    s__subclass(s__Artifact,s__Object),
    inference(clausify,[status(thm)],[kb_SUMO_6388]) ).

fof(kb_SUMO_6516,axiom,
    s__subclass(s__EngineeringConnection,s__EngineeringComponent),
    file('theBenchmark.p',kb_SUMO_6516) ).

cnf(c_628,plain,
    s__subclass(s__EngineeringConnection,s__EngineeringComponent),
    inference(clausify,[status(thm)],[kb_SUMO_6516]) ).

fof(kb_SUMOcache_4002,axiom,
    s__subclass(s__Artifact,s__Entity),
    file('theBenchmark.p',kb_SUMOcache_4002) ).

cnf(c_729,plain,
    s__subclass(s__Artifact,s__Entity),
    inference(clausify,[status(thm)],[kb_SUMOcache_4002]) ).

fof(kb_SUMOcache_7322,axiom,
    s__subclass(s__County,s__Object),
    file('theBenchmark.p',kb_SUMOcache_7322) ).

cnf(c_819,plain,
    s__subclass(s__County,s__Object),
    inference(clausify,[status(thm)],[kb_SUMOcache_7322]) ).

cnf(c_827,plain,
    ( s__instance(A,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26]) ).

cnf(c_828,plain,
    ( s__instance(B,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26]) ).

cnf(c_829,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_896,plain,
    ( s__overlapsSpatially(B,A)
    | s__meetsSpatially(B,A)
    | ~ s__connected(B,A)
    | ~ s__instance(B,s__Object)
    | ~ s__instance(A,s__Object) ),
    inference(clausify,[status(thm)],[kb_SUMO_4658]) ).

cnf(c_942,plain,
    ( ~ s__connectsEngineeringComponents(C,A,B)
    | ~ s__instance(C,s__EngineeringConnection)
    | s__connectedEngineeringComponents(A,B)
    | ~ s__instance(B,s__EngineeringComponent)
    | ~ s__instance(A,s__EngineeringComponent) ),
    inference(clausify,[status(thm)],[kb_SUMO_6522]) ).

fof(kb_SUMOcache_5265,axiom,
    s__subclass(s__EngineeringComponent,s__Artifact),
    file('theBenchmark.p',kb_SUMOcache_5265) ).

cnf(c_961,plain,
    s__subclass(s__EngineeringComponent,s__Artifact),
    inference(clausify,[status(thm)],[kb_SUMOcache_5265]) ).

fof(local_1,axiom,
    s__instance(s__Object16_1,s__EngineeringConnection),
    file('theBenchmark.p',local_1) ).

cnf(c_982,plain,
    s__instance(s__Object16_1,s__EngineeringConnection),
    inference(clausify,[status(thm)],[local_1]) ).

fof(local_2,axiom,
    s__instance(s__Object16_2,s__EngineeringComponent),
    file('theBenchmark.p',local_2) ).

cnf(c_983,plain,
    s__instance(s__Object16_2,s__EngineeringComponent),
    inference(clausify,[status(thm)],[local_2]) ).

fof(local_3,axiom,
    s__instance(s__Object16_3,s__EngineeringComponent),
    file('theBenchmark.p',local_3) ).

cnf(c_984,plain,
    s__instance(s__Object16_3,s__EngineeringComponent),
    inference(clausify,[status(thm)],[local_3]) ).

fof(local_4,axiom,
    s__connectsEngineeringComponents(s__Object16_1,s__Object16_2,s__Object16_3),
    file('theBenchmark.p',local_4) ).

cnf(c_985,plain,
    s__connectsEngineeringComponents(s__Object16_1,s__Object16_2,s__Object16_3),
    inference(clausify,[status(thm)],[local_4]) ).

fof(local_5,axiom,
    ~ s__overlapsSpatially(s__Object16_2,s__Object16_3),
    file('theBenchmark.p',local_5) ).

cnf(c_986,plain,
    ~ s__overlapsSpatially(s__Object16_2,s__Object16_3),
    inference(clausify,[status(thm)],[local_5]) ).

cnf(c_987,negated_conjecture,
    ~ s__meetsSpatially(s__Object16_2,s__Object16_3),
    inference(clausify,[status(thm)],[prove_from_SUMO_neg]) ).

cnf(c_1060,plain,
    s__instance(s__Artifact,s__SetOrClass),
    inference(resolve,[status(thm)],[c_827,c_729]) ).

cnf(c_1090,plain,
    s__instance(s__Object,s__SetOrClass),
    inference(resolve,[status(thm)],[c_828,c_819]) ).

cnf(c_1098,plain,
    s__instance(s__EngineeringComponent,s__SetOrClass),
    inference(resolve,[status(thm)],[c_828,c_628]) ).

cnf(c_15334,plain,
    ( s__instance(A,s__Object)
    | ~ s__instance(A,s__Artifact)
    | ~ s__instance(s__Artifact,s__SetOrClass)
    | ~ s__instance(s__Object,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_829,c_618]) ).

cnf(c_15335,plain,
    ( s__instance(A,s__Object)
    | ~ s__instance(A,s__Artifact)
    | ~ s__instance(s__Artifact,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_1090,c_15334]) ).

cnf(c_1188,plain,
    ( s__instance(A,s__Object)
    | ~ s__instance(A,s__Artifact) ),
    inference(resolve,[status(thm)],[c_1060,c_15335]) ).

cnf(c_15336,plain,
    ( ~ s__instance(s__Object16_1,s__EngineeringConnection)
    | s__connectedEngineeringComponents(s__Object16_2,s__Object16_3)
    | ~ s__instance(s__Object16_3,s__EngineeringComponent)
    | ~ s__instance(s__Object16_2,s__EngineeringComponent) ),
    inference(resolve,[status(thm)],[c_942,c_985]) ).

cnf(c_15337,plain,
    ( ~ s__instance(s__Object16_1,s__EngineeringConnection)
    | s__connectedEngineeringComponents(s__Object16_2,s__Object16_3)
    | ~ s__instance(s__Object16_3,s__EngineeringComponent) ),
    inference(resolve,[status(thm)],[c_983,c_15336]) ).

cnf(c_15338,plain,
    ( ~ s__instance(s__Object16_1,s__EngineeringConnection)
    | s__connectedEngineeringComponents(s__Object16_2,s__Object16_3) ),
    inference(resolve,[status(thm)],[c_984,c_15337]) ).

cnf(c_3711,plain,
    s__connectedEngineeringComponents(s__Object16_2,s__Object16_3),
    inference(resolve,[status(thm)],[c_982,c_15338]) ).

cnf(c_15339,plain,
    ( s__connected(s__Object16_2,s__Object16_3)
    | ~ s__instance(s__Object16_2,s__EngineeringComponent)
    | ~ s__instance(s__Object16_3,s__EngineeringComponent) ),
    inference(resolve,[status(thm)],[c_3711,c_277]) ).

cnf(c_15340,plain,
    ( s__connected(s__Object16_2,s__Object16_3)
    | ~ s__instance(s__Object16_2,s__EngineeringComponent) ),
    inference(resolve,[status(thm)],[c_984,c_15339]) ).

cnf(c_3747,plain,
    s__connected(s__Object16_2,s__Object16_3),
    inference(resolve,[status(thm)],[c_983,c_15340]) ).

cnf(c_15341,plain,
    ( s__overlapsSpatially(s__Object16_2,s__Object16_3)
    | s__meetsSpatially(s__Object16_2,s__Object16_3)
    | ~ s__instance(s__Object16_2,s__Object)
    | ~ s__instance(s__Object16_3,s__Object) ),
    inference(resolve,[status(thm)],[c_3747,c_896]) ).

cnf(c_15342,negated_conjecture,
    ( s__overlapsSpatially(s__Object16_2,s__Object16_3)
    | ~ s__instance(s__Object16_2,s__Object)
    | ~ s__instance(s__Object16_3,s__Object) ),
    inference(resolve,[status(thm)],[c_987,c_15341]) ).

cnf(c_3769,negated_conjecture,
    ( ~ s__instance(s__Object16_2,s__Object)
    | ~ s__instance(s__Object16_3,s__Object) ),
    inference(resolve,[status(thm)],[c_986,c_15342]) ).

cnf(c_15343,plain,
    ( s__instance(A,s__Artifact)
    | ~ s__instance(A,s__EngineeringComponent)
    | ~ s__instance(s__EngineeringComponent,s__SetOrClass)
    | ~ s__instance(s__Artifact,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_961,c_829]) ).

cnf(c_15344,plain,
    ( s__instance(A,s__Artifact)
    | ~ s__instance(A,s__EngineeringComponent)
    | ~ s__instance(s__EngineeringComponent,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_1060,c_15343]) ).

cnf(c_3924,plain,
    ( s__instance(A,s__Artifact)
    | ~ s__instance(A,s__EngineeringComponent) ),
    inference(resolve,[status(thm)],[c_1098,c_15344]) ).

cnf(c_15327,plain,
    s__instance(s__Object16_3,s__Artifact),
    inference(resolve,[status(thm)],[c_3924,c_984]) ).

cnf(c_15328,plain,
    s__instance(s__Object16_2,s__Artifact),
    inference(resolve,[status(thm)],[c_3924,c_983]) ).

cnf(c_15329,plain,
    s__instance(s__Object16_3,s__Object),
    inference(resolve,[status(thm)],[c_15327,c_1188]) ).

cnf(c_15330,negated_conjecture,
    ~ s__instance(s__Object16_2,s__Object),
    inference(resolve,[status(thm)],[c_15329,c_3769]) ).

cnf(c_15345,plain,
    s__instance(s__Object16_2,s__Object),
    inference(resolve,[status(thm)],[c_15328,c_1188]) ).

cnf(c_15333,plain,
    $false,
    inference(resolve,[status(thm)],[c_15330,c_15345]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR089+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.03  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35  % Computer : n007.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Sun Sep 27 00:46:09 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36  % Process 860462 was started by sandbox2 on n007,
% 0.10/0.36  % Sun Sep 27 00:46:09 2026
% 0.10/0.36  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 15.03/2.67  
% 15.03/2.67  % SInE (scan): 548 to sos (tol 1.5x), 85 to usable (tol 2.0x), 14159 zapped, of 14792 axioms (depth 3).
% 15.03/2.67  
% 15.03/2.67  % From the command line: assign(max_seconds, 300).
% 15.03/2.67  
% 15.03/2.67  % given #500 (T,wt=8): 4217 s__instance(s__Object16_1,s__EngineeringComponent).  [resolve(1187,a,982,a)].
% 15.03/2.67  
% 15.03/2.67  % given #1000 (W,wt=11): 1853 -s__subclass(s__Device,s__EngineeringConnection) | s__Device = s__EngineeringConnection.  [resolve(858,c,734,a),flip(d),unit_del(a,1097),unit_del(b,1058)].
% 15.03/2.67  
% 15.03/2.67  % SZS status Theorem for theBenchmark
% 15.03/2.67  
% 15.03/2.67  % Proof 1 at 1.70 (+ 0.42) seconds.
% 15.03/2.67  % Length of proof is 36.
% 15.03/2.67  % Level of proof is 7.
% 15.03/2.67  % Maximum clause weight is 121.000.
% 15.03/2.67  % Given clauses 1304.
% 15.03/2.67  
% 15.03/2.67  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------