TSTP Solution File: GEO087+1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO087+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:16:22 EDT 2024

% Result   : Theorem 1.12s 1.20s
% Output   : CNFRefutation 1.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   80 (  19 unt;   0 def)
%            Number of atoms       :  347 (   2 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  414 ( 147   ~; 133   |; 108   &)
%                                         (  12 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :  190 (   2 sgn 125   !;  29   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( part_of(X1,X0)
    <=> ! [X2] :
          ( incident_c(X2,X1)
         => incident_c(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn) ).

fof(f3,axiom,
    ! [X2,X0] :
      ( end_point(X2,X0)
    <=> ( ! [X1,X3] :
            ( ( incident_c(X2,X3)
              & incident_c(X2,X1)
              & part_of(X3,X0)
              & part_of(X1,X0) )
           => ( part_of(X3,X1)
              | part_of(X1,X3) ) )
        & incident_c(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn) ).

fof(f4,axiom,
    ! [X2,X0] :
      ( inner_point(X2,X0)
    <=> ( ~ end_point(X2,X0)
        & incident_c(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( meet(X2,X0,X1)
    <=> ( ! [X4] :
            ( ( incident_c(X4,X1)
              & incident_c(X4,X0) )
           => ( end_point(X4,X1)
              & end_point(X4,X0) ) )
        & incident_c(X2,X1)
        & incident_c(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_defn) ).

fof(f10,axiom,
    ! [X0] :
    ? [X2] : inner_point(X2,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).

fof(f17,conjecture,
    ! [X1,X3] :
      ( part_of(X1,X3)
     => ~ ? [X2] : meet(X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_9) ).

fof(f18,negated_conjecture,
    ~ ! [X1,X3] :
        ( part_of(X1,X3)
       => ~ ? [X2] : meet(X2,X1,X3) ),
    inference(negated_conjecture,[],[f17]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( end_point(X0,X1)
    <=> ( ! [X2,X3] :
            ( ( incident_c(X0,X3)
              & incident_c(X0,X2)
              & part_of(X3,X1)
              & part_of(X2,X1) )
           => ( part_of(X3,X2)
              | part_of(X2,X3) ) )
        & incident_c(X0,X1) ) ),
    inference(rectify,[],[f3]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( inner_point(X0,X1)
    <=> ( ~ end_point(X0,X1)
        & incident_c(X0,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( meet(X0,X1,X2)
    <=> ( ! [X3] :
            ( ( incident_c(X3,X2)
              & incident_c(X3,X1) )
           => ( end_point(X3,X2)
              & end_point(X3,X1) ) )
        & incident_c(X0,X2)
        & incident_c(X0,X1) ) ),
    inference(rectify,[],[f5]) ).

fof(f26,plain,
    ! [X0] :
    ? [X1] : inner_point(X1,X0),
    inference(rectify,[],[f10]) ).

fof(f32,plain,
    ~ ! [X0,X1] :
        ( part_of(X0,X1)
       => ~ ? [X2] : meet(X2,X0,X1) ),
    inference(rectify,[],[f18]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( part_of(X1,X0)
    <=> ! [X2] :
          ( incident_c(X2,X0)
          | ~ incident_c(X2,X1) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( end_point(X0,X1)
    <=> ( ! [X2,X3] :
            ( part_of(X3,X2)
            | part_of(X2,X3)
            | ~ incident_c(X0,X3)
            | ~ incident_c(X0,X2)
            | ~ part_of(X3,X1)
            | ~ part_of(X2,X1) )
        & incident_c(X0,X1) ) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( end_point(X0,X1)
    <=> ( ! [X2,X3] :
            ( part_of(X3,X2)
            | part_of(X2,X3)
            | ~ incident_c(X0,X3)
            | ~ incident_c(X0,X2)
            | ~ part_of(X3,X1)
            | ~ part_of(X2,X1) )
        & incident_c(X0,X1) ) ),
    inference(flattening,[],[f36]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( meet(X0,X1,X2)
    <=> ( ! [X3] :
            ( ( end_point(X3,X2)
              & end_point(X3,X1) )
            | ~ incident_c(X3,X2)
            | ~ incident_c(X3,X1) )
        & incident_c(X0,X2)
        & incident_c(X0,X1) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( meet(X0,X1,X2)
    <=> ( ! [X3] :
            ( ( end_point(X3,X2)
              & end_point(X3,X1) )
            | ~ incident_c(X3,X2)
            | ~ incident_c(X3,X1) )
        & incident_c(X0,X2)
        & incident_c(X0,X1) ) ),
    inference(flattening,[],[f38]) ).

fof(f54,plain,
    ? [X0,X1] :
      ( ? [X2] : meet(X2,X0,X1)
      & part_of(X0,X1) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ( part_of(X1,X0)
        | ? [X2] :
            ( ~ incident_c(X2,X0)
            & incident_c(X2,X1) ) )
      & ( ! [X2] :
            ( incident_c(X2,X0)
            | ~ incident_c(X2,X1) )
        | ~ part_of(X1,X0) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ( part_of(X1,X0)
        | ? [X2] :
            ( ~ incident_c(X2,X0)
            & incident_c(X2,X1) ) )
      & ( ! [X3] :
            ( incident_c(X3,X0)
            | ~ incident_c(X3,X1) )
        | ~ part_of(X1,X0) ) ),
    inference(rectify,[],[f55]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ incident_c(X2,X0)
          & incident_c(X2,X1) )
     => ( ~ incident_c(sK0(X0,X1),X0)
        & incident_c(sK0(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ( part_of(X1,X0)
        | ( ~ incident_c(sK0(X0,X1),X0)
          & incident_c(sK0(X0,X1),X1) ) )
      & ( ! [X3] :
            ( incident_c(X3,X0)
            | ~ incident_c(X3,X1) )
        | ~ part_of(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f56,f57]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ( end_point(X0,X1)
        | ? [X2,X3] :
            ( ~ part_of(X3,X2)
            & ~ part_of(X2,X3)
            & incident_c(X0,X3)
            & incident_c(X0,X2)
            & part_of(X3,X1)
            & part_of(X2,X1) )
        | ~ incident_c(X0,X1) )
      & ( ( ! [X2,X3] :
              ( part_of(X3,X2)
              | part_of(X2,X3)
              | ~ incident_c(X0,X3)
              | ~ incident_c(X0,X2)
              | ~ part_of(X3,X1)
              | ~ part_of(X2,X1) )
          & incident_c(X0,X1) )
        | ~ end_point(X0,X1) ) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ( end_point(X0,X1)
        | ? [X2,X3] :
            ( ~ part_of(X3,X2)
            & ~ part_of(X2,X3)
            & incident_c(X0,X3)
            & incident_c(X0,X2)
            & part_of(X3,X1)
            & part_of(X2,X1) )
        | ~ incident_c(X0,X1) )
      & ( ( ! [X2,X3] :
              ( part_of(X3,X2)
              | part_of(X2,X3)
              | ~ incident_c(X0,X3)
              | ~ incident_c(X0,X2)
              | ~ part_of(X3,X1)
              | ~ part_of(X2,X1) )
          & incident_c(X0,X1) )
        | ~ end_point(X0,X1) ) ),
    inference(flattening,[],[f64]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ( end_point(X0,X1)
        | ? [X2,X3] :
            ( ~ part_of(X3,X2)
            & ~ part_of(X2,X3)
            & incident_c(X0,X3)
            & incident_c(X0,X2)
            & part_of(X3,X1)
            & part_of(X2,X1) )
        | ~ incident_c(X0,X1) )
      & ( ( ! [X4,X5] :
              ( part_of(X5,X4)
              | part_of(X4,X5)
              | ~ incident_c(X0,X5)
              | ~ incident_c(X0,X4)
              | ~ part_of(X5,X1)
              | ~ part_of(X4,X1) )
          & incident_c(X0,X1) )
        | ~ end_point(X0,X1) ) ),
    inference(rectify,[],[f65]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ part_of(X3,X2)
          & ~ part_of(X2,X3)
          & incident_c(X0,X3)
          & incident_c(X0,X2)
          & part_of(X3,X1)
          & part_of(X2,X1) )
     => ( ~ part_of(sK3(X0,X1),sK2(X0,X1))
        & ~ part_of(sK2(X0,X1),sK3(X0,X1))
        & incident_c(X0,sK3(X0,X1))
        & incident_c(X0,sK2(X0,X1))
        & part_of(sK3(X0,X1),X1)
        & part_of(sK2(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ( end_point(X0,X1)
        | ( ~ part_of(sK3(X0,X1),sK2(X0,X1))
          & ~ part_of(sK2(X0,X1),sK3(X0,X1))
          & incident_c(X0,sK3(X0,X1))
          & incident_c(X0,sK2(X0,X1))
          & part_of(sK3(X0,X1),X1)
          & part_of(sK2(X0,X1),X1) )
        | ~ incident_c(X0,X1) )
      & ( ( ! [X4,X5] :
              ( part_of(X5,X4)
              | part_of(X4,X5)
              | ~ incident_c(X0,X5)
              | ~ incident_c(X0,X4)
              | ~ part_of(X5,X1)
              | ~ part_of(X4,X1) )
          & incident_c(X0,X1) )
        | ~ end_point(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f66,f67]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ( inner_point(X0,X1)
        | end_point(X0,X1)
        | ~ incident_c(X0,X1) )
      & ( ( ~ end_point(X0,X1)
          & incident_c(X0,X1) )
        | ~ inner_point(X0,X1) ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ( inner_point(X0,X1)
        | end_point(X0,X1)
        | ~ incident_c(X0,X1) )
      & ( ( ~ end_point(X0,X1)
          & incident_c(X0,X1) )
        | ~ inner_point(X0,X1) ) ),
    inference(flattening,[],[f69]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( ( meet(X0,X1,X2)
        | ? [X3] :
            ( ( ~ end_point(X3,X2)
              | ~ end_point(X3,X1) )
            & incident_c(X3,X2)
            & incident_c(X3,X1) )
        | ~ incident_c(X0,X2)
        | ~ incident_c(X0,X1) )
      & ( ( ! [X3] :
              ( ( end_point(X3,X2)
                & end_point(X3,X1) )
              | ~ incident_c(X3,X2)
              | ~ incident_c(X3,X1) )
          & incident_c(X0,X2)
          & incident_c(X0,X1) )
        | ~ meet(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( ( meet(X0,X1,X2)
        | ? [X3] :
            ( ( ~ end_point(X3,X2)
              | ~ end_point(X3,X1) )
            & incident_c(X3,X2)
            & incident_c(X3,X1) )
        | ~ incident_c(X0,X2)
        | ~ incident_c(X0,X1) )
      & ( ( ! [X3] :
              ( ( end_point(X3,X2)
                & end_point(X3,X1) )
              | ~ incident_c(X3,X2)
              | ~ incident_c(X3,X1) )
          & incident_c(X0,X2)
          & incident_c(X0,X1) )
        | ~ meet(X0,X1,X2) ) ),
    inference(flattening,[],[f71]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( ( meet(X0,X1,X2)
        | ? [X3] :
            ( ( ~ end_point(X3,X2)
              | ~ end_point(X3,X1) )
            & incident_c(X3,X2)
            & incident_c(X3,X1) )
        | ~ incident_c(X0,X2)
        | ~ incident_c(X0,X1) )
      & ( ( ! [X4] :
              ( ( end_point(X4,X2)
                & end_point(X4,X1) )
              | ~ incident_c(X4,X2)
              | ~ incident_c(X4,X1) )
          & incident_c(X0,X2)
          & incident_c(X0,X1) )
        | ~ meet(X0,X1,X2) ) ),
    inference(rectify,[],[f72]) ).

fof(f74,plain,
    ! [X1,X2] :
      ( ? [X3] :
          ( ( ~ end_point(X3,X2)
            | ~ end_point(X3,X1) )
          & incident_c(X3,X2)
          & incident_c(X3,X1) )
     => ( ( ~ end_point(sK4(X1,X2),X2)
          | ~ end_point(sK4(X1,X2),X1) )
        & incident_c(sK4(X1,X2),X2)
        & incident_c(sK4(X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( ( meet(X0,X1,X2)
        | ( ( ~ end_point(sK4(X1,X2),X2)
            | ~ end_point(sK4(X1,X2),X1) )
          & incident_c(sK4(X1,X2),X2)
          & incident_c(sK4(X1,X2),X1) )
        | ~ incident_c(X0,X2)
        | ~ incident_c(X0,X1) )
      & ( ( ! [X4] :
              ( ( end_point(X4,X2)
                & end_point(X4,X1) )
              | ~ incident_c(X4,X2)
              | ~ incident_c(X4,X1) )
          & incident_c(X0,X2)
          & incident_c(X0,X1) )
        | ~ meet(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f73,f74]) ).

fof(f80,plain,
    ! [X0] :
      ( ? [X1] : inner_point(X1,X0)
     => inner_point(sK7(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ! [X0] : inner_point(sK7(X0),X0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f26,f80]) ).

fof(f92,plain,
    ( ? [X0,X1] :
        ( ? [X2] : meet(X2,X0,X1)
        & part_of(X0,X1) )
   => ( ? [X2] : meet(X2,sK13,sK14)
      & part_of(sK13,sK14) ) ),
    introduced(choice_axiom,[]) ).

fof(f93,plain,
    ( ? [X2] : meet(X2,sK13,sK14)
   => meet(sK15,sK13,sK14) ),
    introduced(choice_axiom,[]) ).

fof(f94,plain,
    ( meet(sK15,sK13,sK14)
    & part_of(sK13,sK14) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f54,f93,f92]) ).

fof(f95,plain,
    ! [X3,X0,X1] :
      ( incident_c(X3,X0)
      | ~ incident_c(X3,X1)
      | ~ part_of(X1,X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( part_of(X1,X0)
      | incident_c(sK0(X0,X1),X1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( part_of(X1,X0)
      | ~ incident_c(sK0(X0,X1),X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( incident_c(X0,X1)
      | ~ end_point(X0,X1) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( incident_c(X0,X1)
      | ~ inner_point(X0,X1) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ~ end_point(X0,X1)
      | ~ inner_point(X0,X1) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f117,plain,
    ! [X2,X0,X1,X4] :
      ( end_point(X4,X1)
      | ~ incident_c(X4,X2)
      | ~ incident_c(X4,X1)
      | ~ meet(X0,X1,X2) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f118,plain,
    ! [X2,X0,X1,X4] :
      ( end_point(X4,X2)
      | ~ incident_c(X4,X2)
      | ~ incident_c(X4,X1)
      | ~ meet(X0,X1,X2) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f126,plain,
    ! [X0] : inner_point(sK7(X0),X0),
    inference(cnf_transformation,[],[f81]) ).

fof(f136,plain,
    part_of(sK13,sK14),
    inference(cnf_transformation,[],[f94]) ).

fof(f137,plain,
    meet(sK15,sK13,sK14),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_49,plain,
    ( ~ incident_c(sK0(X0,X1),X0)
    | part_of(X1,X0) ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_50,plain,
    ( incident_c(sK0(X0,X1),X1)
    | part_of(X1,X0) ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_51,plain,
    ( ~ part_of(X0,X1)
    | ~ incident_c(X2,X0)
    | incident_c(X2,X1) ),
    inference(cnf_transformation,[],[f95]) ).

cnf(c_65,plain,
    ( ~ end_point(X0,X1)
    | incident_c(X0,X1) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_67,plain,
    ( ~ end_point(X0,X1)
    | ~ inner_point(X0,X1) ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_68,plain,
    ( ~ inner_point(X0,X1)
    | incident_c(X0,X1) ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_72,plain,
    ( ~ meet(X0,X1,X2)
    | ~ incident_c(X3,X1)
    | ~ incident_c(X3,X2)
    | end_point(X3,X2) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_73,plain,
    ( ~ meet(X0,X1,X2)
    | ~ incident_c(X3,X1)
    | ~ incident_c(X3,X2)
    | end_point(X3,X1) ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_80,plain,
    inner_point(sK7(X0),X0),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_90,negated_conjecture,
    meet(sK15,sK13,sK14),
    inference(cnf_transformation,[],[f137]) ).

cnf(c_91,negated_conjecture,
    part_of(sK13,sK14),
    inference(cnf_transformation,[],[f136]) ).

cnf(c_729,plain,
    ( sK7(X0) != X1
    | X0 != X2
    | ~ end_point(X1,X2) ),
    inference(resolution_lifted,[status(thm)],[c_67,c_80]) ).

cnf(c_730,plain,
    ~ end_point(sK7(X0),X0),
    inference(unflattening,[status(thm)],[c_729]) ).

cnf(c_731,plain,
    ~ end_point(sK7(sK13),sK13),
    inference(instantiation,[status(thm)],[c_730]) ).

cnf(c_745,negated_conjecture,
    part_of(sK13,sK14),
    inference(demodulation,[status(thm)],[c_91]) ).

cnf(c_746,negated_conjecture,
    meet(sK15,sK13,sK14),
    inference(demodulation,[status(thm)],[c_90]) ).

cnf(c_1420,plain,
    incident_c(sK7(X0),X0),
    inference(superposition,[status(thm)],[c_80,c_68]) ).

cnf(c_1484,plain,
    part_of(X0,X0),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_1591,plain,
    ( ~ part_of(X0,X1)
    | incident_c(sK7(X0),X1) ),
    inference(superposition,[status(thm)],[c_1420,c_51]) ).

cnf(c_1802,plain,
    ( ~ part_of(X0,X1)
    | ~ part_of(X1,X2)
    | incident_c(sK7(X0),X2) ),
    inference(superposition,[status(thm)],[c_1591,c_51]) ).

cnf(c_2130,plain,
    ( ~ part_of(sK14,X0)
    | incident_c(sK7(sK13),X0) ),
    inference(superposition,[status(thm)],[c_745,c_1802]) ).

cnf(c_2276,plain,
    ( ~ incident_c(X0,sK13)
    | ~ incident_c(X0,sK14)
    | end_point(X0,sK14) ),
    inference(superposition,[status(thm)],[c_746,c_72]) ).

cnf(c_2307,plain,
    ( ~ incident_c(sK7(sK13),sK14)
    | end_point(sK7(sK13),sK14) ),
    inference(superposition,[status(thm)],[c_1420,c_2276]) ).

cnf(c_2402,plain,
    ( ~ part_of(sK14,sK14)
    | end_point(sK7(sK13),sK14) ),
    inference(superposition,[status(thm)],[c_2130,c_2307]) ).

cnf(c_2406,plain,
    end_point(sK7(sK13),sK14),
    inference(forward_subsumption_resolution,[status(thm)],[c_2402,c_1484]) ).

cnf(c_2499,plain,
    ( ~ incident_c(X0,sK13)
    | ~ incident_c(X0,sK14)
    | end_point(X0,sK13) ),
    inference(superposition,[status(thm)],[c_746,c_73]) ).

cnf(c_2698,plain,
    incident_c(sK7(sK13),sK14),
    inference(superposition,[status(thm)],[c_2406,c_65]) ).

cnf(c_2713,plain,
    ( ~ incident_c(sK7(sK13),sK14)
    | end_point(sK7(sK13),sK13) ),
    inference(superposition,[status(thm)],[c_1420,c_2499]) ).

cnf(c_2728,plain,
    end_point(sK7(sK13),sK13),
    inference(forward_subsumption_resolution,[status(thm)],[c_2713,c_2698]) ).

cnf(c_2785,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2728,c_731]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO087+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May  3 01:04:47 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.12/1.20  % SZS status Started for theBenchmark.p
% 1.12/1.20  % SZS status Theorem for theBenchmark.p
% 1.12/1.20  
% 1.12/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.12/1.20  
% 1.12/1.20  ------  iProver source info
% 1.12/1.20  
% 1.12/1.20  git: date: 2024-05-02 19:28:25 +0000
% 1.12/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.12/1.20  git: non_committed_changes: false
% 1.12/1.20  
% 1.12/1.20  ------ Parsing...
% 1.12/1.20  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.12/1.20  
% 1.12/1.20  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 1.12/1.20  
% 1.12/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.12/1.20  
% 1.12/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.12/1.20  ------ Proving...
% 1.12/1.20  ------ Problem Properties 
% 1.12/1.20  
% 1.12/1.20  
% 1.12/1.20  clauses                                 43
% 1.12/1.20  conjectures                             2
% 1.12/1.20  EPR                                     15
% 1.12/1.20  Horn                                    27
% 1.12/1.20  unary                                   3
% 1.12/1.20  binary                                  16
% 1.12/1.20  lits                                    131
% 1.12/1.20  lits eq                                 12
% 1.12/1.20  fd_pure                                 0
% 1.12/1.20  fd_pseudo                               0
% 1.12/1.20  fd_cond                                 0
% 1.12/1.20  fd_pseudo_cond                          7
% 1.12/1.20  AC symbols                              0
% 1.12/1.20  
% 1.12/1.20  ------ Schedule dynamic 5 is on 
% 1.12/1.20  
% 1.12/1.20  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.12/1.20  
% 1.12/1.20  
% 1.12/1.20  ------ 
% 1.12/1.20  Current options:
% 1.12/1.20  ------ 
% 1.12/1.20  
% 1.12/1.20  
% 1.12/1.20  
% 1.12/1.20  
% 1.12/1.20  ------ Proving...
% 1.12/1.20  
% 1.12/1.20  
% 1.12/1.20  % SZS status Theorem for theBenchmark.p
% 1.12/1.20  
% 1.12/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.12/1.20  
% 1.12/1.21  
%------------------------------------------------------------------------------