TSTP Solution File: GEO111+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO111+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 30 23:09:26 EDT 2023

% Result   : Theorem 0.48s 1.17s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   84 (  19 unt;   0 def)
%            Number of atoms       :  357 (  63 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  432 ( 159   ~; 145   |; 107   &)
%                                         (  10 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-4 aty)
%            Number of variables   :  201 (   4 sgn; 127   !;  24   ?)

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

fof(f17,axiom,
    ! [X0,X2,X4,X6] :
      ( between_c(X0,X2,X4,X6)
    <=> ( ? [X7] :
            ( inner_point(X4,X7)
            & end_point(X6,X7)
            & end_point(X2,X7)
            & part_of(X7,X0) )
        & X2 != X6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn) ).

fof(f18,conjecture,
    ! [X0,X2,X4,X6] :
      ( between_c(X0,X2,X4,X6)
     => ( X2 != X6
        & X4 != X6
        & X2 != X4
        & incident_c(X6,X0)
        & incident_c(X4,X0)
        & incident_c(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_1) ).

fof(f19,negated_conjecture,
    ~ ! [X0,X2,X4,X6] :
        ( between_c(X0,X2,X4,X6)
       => ( X2 != X6
          & X4 != X6
          & X2 != X4
          & incident_c(X6,X0)
          & incident_c(X4,X0)
          & incident_c(X2,X0) ) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f21,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(f22,plain,
    ! [X0,X1] :
      ( inner_point(X0,X1)
    <=> ( ~ end_point(X0,X1)
        & incident_c(X0,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f33,plain,
    ! [X0,X1,X2,X3] :
      ( between_c(X0,X1,X2,X3)
    <=> ( ? [X4] :
            ( inner_point(X2,X4)
            & end_point(X3,X4)
            & end_point(X1,X4)
            & part_of(X4,X0) )
        & X1 != X3 ) ),
    inference(rectify,[],[f17]) ).

fof(f34,plain,
    ~ ! [X0,X1,X2,X3] :
        ( between_c(X0,X1,X2,X3)
       => ( X1 != X3
          & X2 != X3
          & X1 != X2
          & incident_c(X3,X0)
          & incident_c(X2,X0)
          & incident_c(X1,X0) ) ),
    inference(rectify,[],[f19]) ).

fof(f35,plain,
    ! [X0,X1,X2,X3] :
      ( between_c(X0,X1,X2,X3)
     => ( ? [X4] :
            ( inner_point(X2,X4)
            & end_point(X3,X4)
            & end_point(X1,X4)
            & part_of(X4,X0) )
        & X1 != X3 ) ),
    inference(unused_predicate_definition_removal,[],[f33]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( part_of(X1,X0)
    <=> ! [X2] :
          ( incident_c(X2,X0)
          | ~ incident_c(X2,X1) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f39,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,[],[f21]) ).

fof(f40,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,[],[f39]) ).

fof(f57,plain,
    ! [X0,X1,X2,X3] :
      ( ( ? [X4] :
            ( inner_point(X2,X4)
            & end_point(X3,X4)
            & end_point(X1,X4)
            & part_of(X4,X0) )
        & X1 != X3 )
      | ~ between_c(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f58,plain,
    ? [X0,X1,X2,X3] :
      ( ( X1 = X3
        | X2 = X3
        | X1 = X2
        | ~ incident_c(X3,X0)
        | ~ incident_c(X2,X0)
        | ~ incident_c(X1,X0) )
      & between_c(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f59,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,[],[f38]) ).

fof(f60,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,[],[f59]) ).

fof(f61,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(f62,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])],[f60,f61]) ).

fof(f68,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,[],[f40]) ).

fof(f69,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,[],[f68]) ).

fof(f70,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,[],[f69]) ).

fof(f71,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(f72,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])],[f70,f71]) ).

fof(f73,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,[],[f22]) ).

fof(f74,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,[],[f73]) ).

fof(f96,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( inner_point(X2,X4)
          & end_point(X3,X4)
          & end_point(X1,X4)
          & part_of(X4,X0) )
     => ( inner_point(X2,sK13(X0,X1,X2,X3))
        & end_point(X3,sK13(X0,X1,X2,X3))
        & end_point(X1,sK13(X0,X1,X2,X3))
        & part_of(sK13(X0,X1,X2,X3),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ! [X0,X1,X2,X3] :
      ( ( inner_point(X2,sK13(X0,X1,X2,X3))
        & end_point(X3,sK13(X0,X1,X2,X3))
        & end_point(X1,sK13(X0,X1,X2,X3))
        & part_of(sK13(X0,X1,X2,X3),X0)
        & X1 != X3 )
      | ~ between_c(X0,X1,X2,X3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f57,f96]) ).

fof(f98,plain,
    ( ? [X0,X1,X2,X3] :
        ( ( X1 = X3
          | X2 = X3
          | X1 = X2
          | ~ incident_c(X3,X0)
          | ~ incident_c(X2,X0)
          | ~ incident_c(X1,X0) )
        & between_c(X0,X1,X2,X3) )
   => ( ( sK15 = sK17
        | sK16 = sK17
        | sK15 = sK16
        | ~ incident_c(sK17,sK14)
        | ~ incident_c(sK16,sK14)
        | ~ incident_c(sK15,sK14) )
      & between_c(sK14,sK15,sK16,sK17) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ( ( sK15 = sK17
      | sK16 = sK17
      | sK15 = sK16
      | ~ incident_c(sK17,sK14)
      | ~ incident_c(sK16,sK14)
      | ~ incident_c(sK15,sK14) )
    & between_c(sK14,sK15,sK16,sK17) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17])],[f58,f98]) ).

fof(f100,plain,
    ! [X3,X0,X1] :
      ( incident_c(X3,X0)
      | ~ incident_c(X3,X1)
      | ~ part_of(X1,X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( incident_c(X0,X1)
      | ~ end_point(X0,X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( incident_c(X0,X1)
      | ~ inner_point(X0,X1) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ end_point(X0,X1)
      | ~ inner_point(X0,X1) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f141,plain,
    ! [X2,X3,X0,X1] :
      ( X1 != X3
      | ~ between_c(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f142,plain,
    ! [X2,X3,X0,X1] :
      ( part_of(sK13(X0,X1,X2,X3),X0)
      | ~ between_c(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f143,plain,
    ! [X2,X3,X0,X1] :
      ( end_point(X1,sK13(X0,X1,X2,X3))
      | ~ between_c(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f144,plain,
    ! [X2,X3,X0,X1] :
      ( end_point(X3,sK13(X0,X1,X2,X3))
      | ~ between_c(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f145,plain,
    ! [X2,X3,X0,X1] :
      ( inner_point(X2,sK13(X0,X1,X2,X3))
      | ~ between_c(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f146,plain,
    between_c(sK14,sK15,sK16,sK17),
    inference(cnf_transformation,[],[f99]) ).

fof(f147,plain,
    ( sK15 = sK17
    | sK16 = sK17
    | sK15 = sK16
    | ~ incident_c(sK17,sK14)
    | ~ incident_c(sK16,sK14)
    | ~ incident_c(sK15,sK14) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f152,plain,
    ! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
    inference(equality_resolution,[],[f141]) ).

cnf(c_51,plain,
    ( ~ part_of(X0,X1)
    | ~ incident_c(X2,X0)
    | incident_c(X2,X1) ),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_65,plain,
    ( ~ end_point(X0,X1)
    | incident_c(X0,X1) ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_67,plain,
    ( ~ end_point(X0,X1)
    | ~ inner_point(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_68,plain,
    ( ~ inner_point(X0,X1)
    | incident_c(X0,X1) ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_90,plain,
    ( ~ between_c(X0,X1,X2,X3)
    | inner_point(X2,sK13(X0,X1,X2,X3)) ),
    inference(cnf_transformation,[],[f145]) ).

cnf(c_91,plain,
    ( ~ between_c(X0,X1,X2,X3)
    | end_point(X3,sK13(X0,X1,X2,X3)) ),
    inference(cnf_transformation,[],[f144]) ).

cnf(c_92,plain,
    ( ~ between_c(X0,X1,X2,X3)
    | end_point(X1,sK13(X0,X1,X2,X3)) ),
    inference(cnf_transformation,[],[f143]) ).

cnf(c_93,plain,
    ( ~ between_c(X0,X1,X2,X3)
    | part_of(sK13(X0,X1,X2,X3),X0) ),
    inference(cnf_transformation,[],[f142]) ).

cnf(c_94,plain,
    ~ between_c(X0,X1,X2,X1),
    inference(cnf_transformation,[],[f152]) ).

cnf(c_95,negated_conjecture,
    ( ~ incident_c(sK15,sK14)
    | ~ incident_c(sK17,sK14)
    | ~ incident_c(sK16,sK14)
    | sK15 = sK17
    | sK15 = sK16
    | sK17 = sK16 ),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_96,negated_conjecture,
    between_c(sK14,sK15,sK16,sK17),
    inference(cnf_transformation,[],[f146]) ).

cnf(c_746,plain,
    ( X0 != sK14
    | X1 != sK15
    | X2 != sK16
    | X3 != sK17
    | part_of(sK13(X0,X1,X2,X3),X0) ),
    inference(resolution_lifted,[status(thm)],[c_93,c_96]) ).

cnf(c_747,plain,
    part_of(sK13(sK14,sK15,sK16,sK17),sK14),
    inference(unflattening,[status(thm)],[c_746]) ).

cnf(c_751,plain,
    ( X0 != sK14
    | X1 != sK15
    | X2 != sK16
    | X3 != sK17
    | end_point(X1,sK13(X0,X1,X2,X3)) ),
    inference(resolution_lifted,[status(thm)],[c_92,c_96]) ).

cnf(c_752,plain,
    end_point(sK15,sK13(sK14,sK15,sK16,sK17)),
    inference(unflattening,[status(thm)],[c_751]) ).

cnf(c_756,plain,
    ( X0 != sK14
    | X1 != sK15
    | X2 != sK16
    | X3 != sK17
    | end_point(X3,sK13(X0,X1,X2,X3)) ),
    inference(resolution_lifted,[status(thm)],[c_91,c_96]) ).

cnf(c_757,plain,
    end_point(sK17,sK13(sK14,sK15,sK16,sK17)),
    inference(unflattening,[status(thm)],[c_756]) ).

cnf(c_761,plain,
    ( X0 != sK14
    | X1 != sK15
    | X2 != sK16
    | X3 != sK17
    | inner_point(X2,sK13(X0,X1,X2,X3)) ),
    inference(resolution_lifted,[status(thm)],[c_90,c_96]) ).

cnf(c_762,plain,
    inner_point(sK16,sK13(sK14,sK15,sK16,sK17)),
    inference(unflattening,[status(thm)],[c_761]) ).

cnf(c_766,plain,
    ( X0 != sK14
    | X1 != sK15
    | X1 != sK17
    | X2 != sK16 ),
    inference(resolution_lifted,[status(thm)],[c_94,c_96]) ).

cnf(c_767,plain,
    sK15 != sK17,
    inference(unflattening,[status(thm)],[c_766]) ).

cnf(c_776,plain,
    ( ~ incident_c(sK15,sK14)
    | ~ incident_c(sK17,sK14)
    | ~ incident_c(sK16,sK14)
    | sK15 = sK16
    | sK17 = sK16 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_95,c_767]) ).

cnf(c_2264,plain,
    incident_c(sK15,sK13(sK14,sK15,sK16,sK17)),
    inference(superposition,[status(thm)],[c_752,c_65]) ).

cnf(c_2265,plain,
    incident_c(sK17,sK13(sK14,sK15,sK16,sK17)),
    inference(superposition,[status(thm)],[c_757,c_65]) ).

cnf(c_2274,plain,
    incident_c(sK16,sK13(sK14,sK15,sK16,sK17)),
    inference(superposition,[status(thm)],[c_762,c_68]) ).

cnf(c_2305,plain,
    ~ inner_point(sK15,sK13(sK14,sK15,sK16,sK17)),
    inference(superposition,[status(thm)],[c_752,c_67]) ).

cnf(c_2306,plain,
    ~ inner_point(sK17,sK13(sK14,sK15,sK16,sK17)),
    inference(superposition,[status(thm)],[c_757,c_67]) ).

cnf(c_3707,plain,
    ( ~ part_of(sK13(sK14,sK15,sK16,sK17),X0)
    | incident_c(sK16,X0) ),
    inference(superposition,[status(thm)],[c_2274,c_51]) ).

cnf(c_3709,plain,
    ( ~ part_of(sK13(sK14,sK15,sK16,sK17),X0)
    | incident_c(sK15,X0) ),
    inference(superposition,[status(thm)],[c_2264,c_51]) ).

cnf(c_3710,plain,
    ( ~ part_of(sK13(sK14,sK15,sK16,sK17),X0)
    | incident_c(sK17,X0) ),
    inference(superposition,[status(thm)],[c_2265,c_51]) ).

cnf(c_3741,plain,
    ( ~ part_of(sK13(sK14,sK15,sK16,sK17),sK14)
    | incident_c(sK17,sK14) ),
    inference(instantiation,[status(thm)],[c_3710]) ).

cnf(c_3742,plain,
    ( ~ part_of(sK13(sK14,sK15,sK16,sK17),sK14)
    | incident_c(sK15,sK14) ),
    inference(instantiation,[status(thm)],[c_3709]) ).

cnf(c_3923,plain,
    incident_c(sK16,sK14),
    inference(superposition,[status(thm)],[c_747,c_3707]) ).

cnf(c_4102,plain,
    ( ~ incident_c(sK15,sK14)
    | ~ incident_c(sK17,sK14)
    | sK15 = sK16
    | sK17 = sK16 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_776,c_3923]) ).

cnf(c_4160,plain,
    ( sK15 = sK16
    | sK17 = sK16 ),
    inference(global_subsumption_just,[status(thm)],[c_4102,c_747,c_3741,c_3742,c_4102]) ).

cnf(c_4196,plain,
    ( ~ inner_point(sK17,sK13(sK14,sK15,sK17,sK17))
    | sK15 = sK16 ),
    inference(superposition,[status(thm)],[c_4160,c_2306]) ).

cnf(c_4202,plain,
    ( sK15 = sK16
    | inner_point(sK17,sK13(sK14,sK15,sK17,sK17)) ),
    inference(superposition,[status(thm)],[c_4160,c_762]) ).

cnf(c_4224,plain,
    sK15 = sK16,
    inference(backward_subsumption_resolution,[status(thm)],[c_4202,c_4196]) ).

cnf(c_4236,plain,
    ~ inner_point(sK15,sK13(sK14,sK15,sK15,sK17)),
    inference(demodulation,[status(thm)],[c_2305,c_4224]) ).

cnf(c_4241,plain,
    inner_point(sK15,sK13(sK14,sK15,sK15,sK17)),
    inference(demodulation,[status(thm)],[c_762,c_4224]) ).

cnf(c_4247,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_4236,c_4241]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO111+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 30 00:18:57 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.48/1.17  % SZS status Started for theBenchmark.p
% 0.48/1.17  % SZS status Theorem for theBenchmark.p
% 0.48/1.17  
% 0.48/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.17  
% 0.48/1.17  ------  iProver source info
% 0.48/1.17  
% 0.48/1.17  git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.17  git: non_committed_changes: false
% 0.48/1.17  git: last_make_outside_of_git: false
% 0.48/1.17  
% 0.48/1.17  ------ Parsing...
% 0.48/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.48/1.17  
% 0.48/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 0.48/1.17  
% 0.48/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.48/1.17  
% 0.48/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.48/1.17  ------ Proving...
% 0.48/1.17  ------ Problem Properties 
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  clauses                                 47
% 0.48/1.17  conjectures                             0
% 0.48/1.17  EPR                                     15
% 0.48/1.17  Horn                                    30
% 0.48/1.17  unary                                   6
% 0.48/1.17  binary                                  16
% 0.48/1.17  lits                                    139
% 0.48/1.17  lits eq                                 15
% 0.48/1.17  fd_pure                                 0
% 0.48/1.17  fd_pseudo                               0
% 0.48/1.17  fd_cond                                 0
% 0.48/1.17  fd_pseudo_cond                          7
% 0.48/1.17  AC symbols                              0
% 0.48/1.17  
% 0.48/1.17  ------ Schedule dynamic 5 is on 
% 0.48/1.17  
% 0.48/1.17  ------ no conjectures: strip conj schedule 
% 0.48/1.17  
% 0.48/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  ------ 
% 0.48/1.17  Current options:
% 0.48/1.17  ------ 
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  ------ Proving...
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  % SZS status Theorem for theBenchmark.p
% 0.48/1.17  
% 0.48/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.17  
% 0.48/1.17  
%------------------------------------------------------------------------------