TSTP Solution File: GEO094+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO094+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n003.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 : Wed Aug 31 16:11:48 EDT 2022

% Result   : Theorem 0.16s 0.55s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   74 (  17 unt;   0 def)
%            Number of atoms       :  364 (   0 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  437 ( 147   ~; 137   |; 128   &)
%                                         (  12 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  179 ( 145   !;  34   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f525,plain,
    $false,
    inference(subsumption_resolution,[],[f524,f151]) ).

fof(f151,plain,
    ! [X0] : incident_c(sK13(X0),X0),
    inference(resolution,[],[f105,f135]) ).

fof(f135,plain,
    ! [X0] : inner_point(sK13(X0),X0),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0] : inner_point(sK13(X0),X0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f19,f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ? [X1] : inner_point(X1,X0)
     => inner_point(sK13(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f19,plain,
    ! [X0] :
    ? [X1] : inner_point(X1,X0),
    inference(rectify,[],[f10]) ).

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

fof(f105,plain,
    ! [X0,X1] :
      ( ~ inner_point(X1,X0)
      | incident_c(X1,X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ( ( incident_c(X1,X0)
          & ~ end_point(X1,X0) )
        | ~ inner_point(X1,X0) )
      & ( inner_point(X1,X0)
        | ~ incident_c(X1,X0)
        | end_point(X1,X0) ) ),
    inference(flattening,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ( ( incident_c(X1,X0)
          & ~ end_point(X1,X0) )
        | ~ inner_point(X1,X0) )
      & ( inner_point(X1,X0)
        | ~ incident_c(X1,X0)
        | end_point(X1,X0) ) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( incident_c(X1,X0)
        & ~ end_point(X1,X0) )
    <=> inner_point(X1,X0) ),
    inference(rectify,[],[f4]) ).

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

fof(f524,plain,
    ~ incident_c(sK13(sK3),sK3),
    inference(resolution,[],[f501,f229]) ).

fof(f229,plain,
    ~ incident_c(sK13(sK3),sK5),
    inference(subsumption_resolution,[],[f227,f151]) ).

fof(f227,plain,
    ( ~ incident_c(sK13(sK3),sK5)
    | ~ incident_c(sK13(sK3),sK3) ),
    inference(resolution,[],[f225,f150]) ).

fof(f150,plain,
    ! [X0] : ~ end_point(sK13(X0),X0),
    inference(resolution,[],[f104,f135]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ inner_point(X1,X0)
      | ~ end_point(X1,X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f225,plain,
    ! [X0] :
      ( end_point(X0,sK3)
      | ~ incident_c(X0,sK3)
      | ~ incident_c(X0,sK5) ),
    inference(resolution,[],[f133,f110]) ).

fof(f110,plain,
    meet(sK2,sK3,sK5),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ( end_point(sK2,sK4)
    & part_of(sK5,sK4)
    & meet(sK2,sK3,sK5)
    & part_of(sK3,sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f65,f66]) ).

fof(f66,plain,
    ( ? [X0,X1,X2,X3] :
        ( end_point(X0,X2)
        & part_of(X3,X2)
        & meet(X0,X1,X3)
        & part_of(X1,X2) )
   => ( end_point(sK2,sK4)
      & part_of(sK5,sK4)
      & meet(sK2,sK3,sK5)
      & part_of(sK3,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ? [X0,X1,X2,X3] :
      ( end_point(X0,X2)
      & part_of(X3,X2)
      & meet(X0,X1,X3)
      & part_of(X1,X2) ),
    inference(rectify,[],[f47]) ).

fof(f47,plain,
    ? [X0,X2,X3,X1] :
      ( end_point(X0,X3)
      & part_of(X1,X3)
      & meet(X0,X2,X1)
      & part_of(X2,X3) ),
    inference(flattening,[],[f46]) ).

fof(f46,plain,
    ? [X2,X3,X1,X0] :
      ( end_point(X0,X3)
      & part_of(X1,X3)
      & meet(X0,X2,X1)
      & part_of(X2,X3) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,plain,
    ~ ! [X2,X3,X1,X0] :
        ( ( part_of(X1,X3)
          & meet(X0,X2,X1)
          & part_of(X2,X3) )
       => ~ end_point(X0,X3) ),
    inference(rectify,[],[f18]) ).

fof(f18,negated_conjecture,
    ~ ! [X2,X3,X1,X0] :
        ( ( part_of(X1,X0)
          & part_of(X3,X0)
          & meet(X2,X1,X3) )
       => ~ end_point(X2,X0) ),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    ! [X2,X3,X1,X0] :
      ( ( part_of(X1,X0)
        & part_of(X3,X0)
        & meet(X2,X1,X3) )
     => ~ end_point(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_3) ).

fof(f133,plain,
    ! [X2,X3,X0,X1] :
      ( ~ meet(X1,X0,X2)
      | ~ incident_c(X3,X0)
      | ~ incident_c(X3,X2)
      | end_point(X3,X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1,X2] :
      ( ( ( ! [X3] :
              ( ( end_point(X3,X2)
                & end_point(X3,X0) )
              | ~ incident_c(X3,X0)
              | ~ incident_c(X3,X2) )
          & incident_c(X1,X2)
          & incident_c(X1,X0) )
        | ~ meet(X1,X0,X2) )
      & ( meet(X1,X0,X2)
        | ( ( ~ end_point(sK12(X0,X2),X2)
            | ~ end_point(sK12(X0,X2),X0) )
          & incident_c(sK12(X0,X2),X0)
          & incident_c(sK12(X0,X2),X2) )
        | ~ incident_c(X1,X2)
        | ~ incident_c(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f89,f90]) ).

fof(f90,plain,
    ! [X0,X2] :
      ( ? [X4] :
          ( ( ~ end_point(X4,X2)
            | ~ end_point(X4,X0) )
          & incident_c(X4,X0)
          & incident_c(X4,X2) )
     => ( ( ~ end_point(sK12(X0,X2),X2)
          | ~ end_point(sK12(X0,X2),X0) )
        & incident_c(sK12(X0,X2),X0)
        & incident_c(sK12(X0,X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f89,plain,
    ! [X0,X1,X2] :
      ( ( ( ! [X3] :
              ( ( end_point(X3,X2)
                & end_point(X3,X0) )
              | ~ incident_c(X3,X0)
              | ~ incident_c(X3,X2) )
          & incident_c(X1,X2)
          & incident_c(X1,X0) )
        | ~ meet(X1,X0,X2) )
      & ( meet(X1,X0,X2)
        | ? [X4] :
            ( ( ~ end_point(X4,X2)
              | ~ end_point(X4,X0) )
            & incident_c(X4,X0)
            & incident_c(X4,X2) )
        | ~ incident_c(X1,X2)
        | ~ incident_c(X1,X0) ) ),
    inference(rectify,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1,X2] :
      ( ( ( ! [X3] :
              ( ( end_point(X3,X2)
                & end_point(X3,X0) )
              | ~ incident_c(X3,X0)
              | ~ incident_c(X3,X2) )
          & incident_c(X1,X2)
          & incident_c(X1,X0) )
        | ~ meet(X1,X0,X2) )
      & ( meet(X1,X0,X2)
        | ? [X3] :
            ( ( ~ end_point(X3,X2)
              | ~ end_point(X3,X0) )
            & incident_c(X3,X0)
            & incident_c(X3,X2) )
        | ~ incident_c(X1,X2)
        | ~ incident_c(X1,X0) ) ),
    inference(flattening,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1,X2] :
      ( ( ( ! [X3] :
              ( ( end_point(X3,X2)
                & end_point(X3,X0) )
              | ~ incident_c(X3,X0)
              | ~ incident_c(X3,X2) )
          & incident_c(X1,X2)
          & incident_c(X1,X0) )
        | ~ meet(X1,X0,X2) )
      & ( meet(X1,X0,X2)
        | ? [X3] :
            ( ( ~ end_point(X3,X2)
              | ~ end_point(X3,X0) )
            & incident_c(X3,X0)
            & incident_c(X3,X2) )
        | ~ incident_c(X1,X2)
        | ~ incident_c(X1,X0) ) ),
    inference(nnf_transformation,[],[f37]) ).

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

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

fof(f20,plain,
    ! [X2,X1,X0] :
      ( ( incident_c(X1,X0)
        & incident_c(X1,X2)
        & ! [X3] :
            ( ( incident_c(X3,X2)
              & incident_c(X3,X0) )
           => ( end_point(X3,X2)
              & end_point(X3,X0) ) ) )
    <=> meet(X1,X0,X2) ),
    inference(rectify,[],[f5]) ).

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

fof(f501,plain,
    ! [X5] :
      ( incident_c(X5,sK5)
      | ~ incident_c(X5,sK3) ),
    inference(resolution,[],[f498,f127]) ).

fof(f127,plain,
    ! [X2,X0,X1] :
      ( ~ part_of(X0,X1)
      | ~ incident_c(X2,X0)
      | incident_c(X2,X1) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( incident_c(X2,X1)
            | ~ incident_c(X2,X0) )
        | ~ part_of(X0,X1) )
      & ( part_of(X0,X1)
        | ( ~ incident_c(sK11(X0,X1),X1)
          & incident_c(sK11(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f84,f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ~ incident_c(X3,X1)
          & incident_c(X3,X0) )
     => ( ~ incident_c(sK11(X0,X1),X1)
        & incident_c(sK11(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( incident_c(X2,X1)
            | ~ incident_c(X2,X0) )
        | ~ part_of(X0,X1) )
      & ( part_of(X0,X1)
        | ? [X3] :
            ( ~ incident_c(X3,X1)
            & incident_c(X3,X0) ) ) ),
    inference(rectify,[],[f83]) ).

fof(f83,plain,
    ! [X1,X0] :
      ( ( ! [X2] :
            ( incident_c(X2,X0)
            | ~ incident_c(X2,X1) )
        | ~ part_of(X1,X0) )
      & ( part_of(X1,X0)
        | ? [X2] :
            ( ~ incident_c(X2,X0)
            & incident_c(X2,X1) ) ) ),
    inference(nnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( incident_c(X2,X0)
          | ~ incident_c(X2,X1) )
    <=> part_of(X1,X0) ),
    inference(ennf_transformation,[],[f1]) ).

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

fof(f498,plain,
    part_of(sK3,sK5),
    inference(subsumption_resolution,[],[f495,f241]) ).

fof(f241,plain,
    ~ incident_c(sK13(sK5),sK3),
    inference(subsumption_resolution,[],[f239,f151]) ).

fof(f239,plain,
    ( ~ incident_c(sK13(sK5),sK3)
    | ~ incident_c(sK13(sK5),sK5) ),
    inference(resolution,[],[f237,f150]) ).

fof(f237,plain,
    ! [X0] :
      ( end_point(X0,sK5)
      | ~ incident_c(X0,sK3)
      | ~ incident_c(X0,sK5) ),
    inference(resolution,[],[f134,f110]) ).

fof(f134,plain,
    ! [X2,X3,X0,X1] :
      ( ~ meet(X1,X0,X2)
      | ~ incident_c(X3,X0)
      | end_point(X3,X2)
      | ~ incident_c(X3,X2) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f495,plain,
    ( part_of(sK3,sK5)
    | incident_c(sK13(sK5),sK3) ),
    inference(resolution,[],[f449,f151]) ).

fof(f449,plain,
    ! [X5] :
      ( ~ incident_c(X5,sK5)
      | incident_c(X5,sK3)
      | part_of(sK3,sK5) ),
    inference(resolution,[],[f446,f127]) ).

fof(f446,plain,
    ( part_of(sK5,sK3)
    | part_of(sK3,sK5) ),
    inference(subsumption_resolution,[],[f441,f155]) ).

fof(f155,plain,
    incident_c(sK2,sK5),
    inference(resolution,[],[f132,f110]) ).

fof(f132,plain,
    ! [X2,X0,X1] :
      ( ~ meet(X1,X0,X2)
      | incident_c(X1,X2) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f441,plain,
    ( ~ incident_c(sK2,sK5)
    | part_of(sK3,sK5)
    | part_of(sK5,sK3) ),
    inference(resolution,[],[f439,f111]) ).

fof(f111,plain,
    part_of(sK5,sK4),
    inference(cnf_transformation,[],[f67]) ).

fof(f439,plain,
    ! [X0] :
      ( ~ part_of(X0,sK4)
      | part_of(sK3,X0)
      | ~ incident_c(sK2,X0)
      | part_of(X0,sK3) ),
    inference(subsumption_resolution,[],[f436,f154]) ).

fof(f154,plain,
    incident_c(sK2,sK3),
    inference(resolution,[],[f131,f110]) ).

fof(f131,plain,
    ! [X2,X0,X1] :
      ( ~ meet(X1,X0,X2)
      | incident_c(X1,X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f436,plain,
    ! [X0] :
      ( ~ incident_c(sK2,sK3)
      | ~ incident_c(sK2,X0)
      | ~ part_of(X0,sK4)
      | part_of(X0,sK3)
      | part_of(sK3,X0) ),
    inference(resolution,[],[f365,f112]) ).

fof(f112,plain,
    end_point(sK2,sK4),
    inference(cnf_transformation,[],[f67]) ).

fof(f365,plain,
    ! [X0,X1] :
      ( ~ end_point(X0,sK4)
      | part_of(X1,sK3)
      | ~ incident_c(X0,sK3)
      | part_of(sK3,X1)
      | ~ part_of(X1,sK4)
      | ~ incident_c(X0,X1) ),
    inference(resolution,[],[f142,f109]) ).

fof(f109,plain,
    part_of(sK3,sK4),
    inference(cnf_transformation,[],[f67]) ).

fof(f142,plain,
    ! [X2,X3,X0,X1] :
      ( ~ part_of(X3,X0)
      | ~ incident_c(X1,X2)
      | ~ part_of(X2,X0)
      | part_of(X2,X3)
      | ~ end_point(X1,X0)
      | ~ incident_c(X1,X3)
      | part_of(X3,X2) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ( ( incident_c(X1,X0)
          & ! [X2,X3] :
              ( ~ part_of(X3,X0)
              | part_of(X3,X2)
              | ~ incident_c(X1,X3)
              | ~ part_of(X2,X0)
              | part_of(X2,X3)
              | ~ incident_c(X1,X2) ) )
        | ~ end_point(X1,X0) )
      & ( end_point(X1,X0)
        | ~ incident_c(X1,X0)
        | ( part_of(sK15(X0,X1),X0)
          & ~ part_of(sK15(X0,X1),sK14(X0,X1))
          & incident_c(X1,sK15(X0,X1))
          & part_of(sK14(X0,X1),X0)
          & ~ part_of(sK14(X0,X1),sK15(X0,X1))
          & incident_c(X1,sK14(X0,X1)) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f96,f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ? [X4,X5] :
          ( part_of(X5,X0)
          & ~ part_of(X5,X4)
          & incident_c(X1,X5)
          & part_of(X4,X0)
          & ~ part_of(X4,X5)
          & incident_c(X1,X4) )
     => ( part_of(sK15(X0,X1),X0)
        & ~ part_of(sK15(X0,X1),sK14(X0,X1))
        & incident_c(X1,sK15(X0,X1))
        & part_of(sK14(X0,X1),X0)
        & ~ part_of(sK14(X0,X1),sK15(X0,X1))
        & incident_c(X1,sK14(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ( ( incident_c(X1,X0)
          & ! [X2,X3] :
              ( ~ part_of(X3,X0)
              | part_of(X3,X2)
              | ~ incident_c(X1,X3)
              | ~ part_of(X2,X0)
              | part_of(X2,X3)
              | ~ incident_c(X1,X2) ) )
        | ~ end_point(X1,X0) )
      & ( end_point(X1,X0)
        | ~ incident_c(X1,X0)
        | ? [X4,X5] :
            ( part_of(X5,X0)
            & ~ part_of(X5,X4)
            & incident_c(X1,X5)
            & part_of(X4,X0)
            & ~ part_of(X4,X5)
            & incident_c(X1,X4) ) ) ),
    inference(rectify,[],[f95]) ).

fof(f95,plain,
    ! [X1,X0] :
      ( ( ( incident_c(X0,X1)
          & ! [X3,X2] :
              ( ~ part_of(X2,X1)
              | part_of(X2,X3)
              | ~ incident_c(X0,X2)
              | ~ part_of(X3,X1)
              | part_of(X3,X2)
              | ~ incident_c(X0,X3) ) )
        | ~ end_point(X0,X1) )
      & ( end_point(X0,X1)
        | ~ incident_c(X0,X1)
        | ? [X3,X2] :
            ( part_of(X2,X1)
            & ~ part_of(X2,X3)
            & incident_c(X0,X2)
            & part_of(X3,X1)
            & ~ part_of(X3,X2)
            & incident_c(X0,X3) ) ) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X1,X0] :
      ( ( ( incident_c(X0,X1)
          & ! [X3,X2] :
              ( ~ part_of(X2,X1)
              | part_of(X2,X3)
              | ~ incident_c(X0,X2)
              | ~ part_of(X3,X1)
              | part_of(X3,X2)
              | ~ incident_c(X0,X3) ) )
        | ~ end_point(X0,X1) )
      & ( end_point(X0,X1)
        | ~ incident_c(X0,X1)
        | ? [X3,X2] :
            ( part_of(X2,X1)
            & ~ part_of(X2,X3)
            & incident_c(X0,X2)
            & part_of(X3,X1)
            & ~ part_of(X3,X2)
            & incident_c(X0,X3) ) ) ),
    inference(nnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X1,X0] :
      ( ( incident_c(X0,X1)
        & ! [X3,X2] :
            ( ~ part_of(X2,X1)
            | part_of(X2,X3)
            | ~ incident_c(X0,X2)
            | ~ part_of(X3,X1)
            | part_of(X3,X2)
            | ~ incident_c(X0,X3) ) )
    <=> end_point(X0,X1) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X1,X0] :
      ( end_point(X0,X1)
    <=> ( ! [X2,X3] :
            ( part_of(X3,X2)
            | part_of(X2,X3)
            | ~ incident_c(X0,X3)
            | ~ part_of(X3,X1)
            | ~ incident_c(X0,X2)
            | ~ part_of(X2,X1) )
        & incident_c(X0,X1) ) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X1,X0] :
      ( end_point(X0,X1)
    <=> ( ! [X2,X3] :
            ( ( incident_c(X0,X3)
              & part_of(X3,X1)
              & incident_c(X0,X2)
              & part_of(X2,X1) )
           => ( part_of(X3,X2)
              | part_of(X2,X3) ) )
        & incident_c(X0,X1) ) ),
    inference(rectify,[],[f3]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GEO094+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32  % Computer : n003.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Mon Aug 29 21:09:52 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.16/0.47  % (23287)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.48  % (23279)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.48  % (23288)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.48  % (23280)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.49  % (23293)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.49  % (23285)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.49  % (23280)Instruction limit reached!
% 0.16/0.49  % (23280)------------------------------
% 0.16/0.49  % (23280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (23280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (23280)Termination reason: Unknown
% 0.16/0.49  % (23280)Termination phase: Preprocessing 3
% 0.16/0.49  
% 0.16/0.49  % (23280)Memory used [KB]: 895
% 0.16/0.49  % (23280)Time elapsed: 0.004 s
% 0.16/0.49  % (23280)Instructions burned: 2 (million)
% 0.16/0.49  % (23280)------------------------------
% 0.16/0.49  % (23280)------------------------------
% 0.16/0.50  % (23296)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.50  % (23279)Instruction limit reached!
% 0.16/0.50  % (23279)------------------------------
% 0.16/0.50  % (23279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (23295)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.50  % (23279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (23279)Termination reason: Unknown
% 0.16/0.50  % (23279)Termination phase: Saturation
% 0.16/0.50  
% 0.16/0.50  % (23279)Memory used [KB]: 5500
% 0.16/0.50  % (23279)Time elapsed: 0.114 s
% 0.16/0.50  % (23279)Instructions burned: 7 (million)
% 0.16/0.50  % (23279)------------------------------
% 0.16/0.50  % (23279)------------------------------
% 0.16/0.50  % (23301)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.16/0.52  % (23273)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.53  % (23284)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.53  % (23282)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.53  % (23283)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.53  % (23277)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.54  % (23275)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.54  % (23287)First to succeed.
% 0.16/0.54  % (23286)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.54  % (23276)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.54  % (23300)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.54  % (23298)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.55  % (23273)Refutation not found, incomplete strategy% (23273)------------------------------
% 0.16/0.55  % (23273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55  % (23273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55  % (23273)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.55  
% 0.16/0.55  % (23273)Memory used [KB]: 5500
% 0.16/0.55  % (23273)Time elapsed: 0.163 s
% 0.16/0.55  % (23273)Instructions burned: 5 (million)
% 0.16/0.55  % (23273)------------------------------
% 0.16/0.55  % (23273)------------------------------
% 0.16/0.55  % (23294)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.55  % (23291)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.55  % (23287)Refutation found. Thanks to Tanya!
% 0.16/0.55  % SZS status Theorem for theBenchmark
% 0.16/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.55  % (23287)------------------------------
% 0.16/0.55  % (23287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55  % (23287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55  % (23287)Termination reason: Refutation
% 0.16/0.55  
% 0.16/0.55  % (23287)Memory used [KB]: 1407
% 0.16/0.55  % (23287)Time elapsed: 0.144 s
% 0.16/0.55  % (23287)Instructions burned: 36 (million)
% 0.16/0.55  % (23287)------------------------------
% 0.16/0.55  % (23287)------------------------------
% 0.16/0.55  % (23271)Success in time 0.223 s
%------------------------------------------------------------------------------