TSTP Solution File: SEU272+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SEU272+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 03:05:18 EDT 2024

% Result   : Theorem 7.54s 1.67s
% Output   : CNFRefutation 7.54s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0,X1] :
      ( ordinal(X1)
     => ? [X2] :
        ! [X3] :
          ( in(X3,X2)
        <=> ( ? [X4] :
                ( in(X4,X0)
                & X3 = X4
                & ordinal(X4) )
            & in(X3,succ(X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e8_6__wellord2__1) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1] :
        ( ordinal(X1)
       => ? [X2] :
          ! [X3] :
            ( in(X3,X2)
          <=> ( ? [X4] :
                  ( in(X4,X0)
                  & X3 = X4
                  & ordinal(X4) )
              & in(X3,succ(X1)) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => ~ in(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( ordinal(X1)
     => ( ! [X2,X3,X4] :
            ( ( ? [X6] :
                  ( in(X6,X0)
                  & X4 = X6
                  & ordinal(X6) )
              & X2 = X4
              & ? [X5] :
                  ( in(X5,X0)
                  & X3 = X5
                  & ordinal(X5) )
              & X2 = X3 )
           => X3 = X4 )
       => ? [X2] :
          ! [X3] :
            ( in(X3,X2)
          <=> ? [X4] :
                ( ? [X7] :
                    ( in(X7,X0)
                    & X3 = X7
                    & ordinal(X7) )
                & X3 = X4
                & in(X4,succ(X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e8_6__wellord2__1) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ordinal(X1)
     => ( ! [X2,X3,X4] :
            ( ( ? [X5] :
                  ( in(X5,X0)
                  & X4 = X5
                  & ordinal(X5) )
              & X2 = X4
              & ? [X6] :
                  ( in(X6,X0)
                  & X3 = X6
                  & ordinal(X6) )
              & X2 = X3 )
           => X3 = X4 )
       => ? [X7] :
          ! [X8] :
            ( in(X8,X7)
          <=> ? [X9] :
                ( ? [X10] :
                    ( in(X10,X0)
                    & X8 = X10
                    & ordinal(X10) )
                & X8 = X9
                & in(X9,succ(X1)) ) ) ) ),
    inference(rectify,[],[f15]) ).

fof(f18,plain,
    ? [X0,X1] :
      ( ! [X2] :
        ? [X3] :
          ( in(X3,X2)
        <~> ( ? [X4] :
                ( in(X4,X0)
                & X3 = X4
                & ordinal(X4) )
            & in(X3,succ(X1)) ) )
      & ordinal(X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ? [X7] :
        ! [X8] :
          ( in(X8,X7)
        <=> ? [X9] :
              ( ? [X10] :
                  ( in(X10,X0)
                  & X8 = X10
                  & ordinal(X10) )
              & X8 = X9
              & in(X9,succ(X1)) ) )
      | ? [X2,X3,X4] :
          ( X3 != X4
          & ? [X5] :
              ( in(X5,X0)
              & X4 = X5
              & ordinal(X5) )
          & X2 = X4
          & ? [X6] :
              ( in(X6,X0)
              & X3 = X6
              & ordinal(X6) )
          & X2 = X3 )
      | ~ ordinal(X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ? [X7] :
        ! [X8] :
          ( in(X8,X7)
        <=> ? [X9] :
              ( ? [X10] :
                  ( in(X10,X0)
                  & X8 = X10
                  & ordinal(X10) )
              & X8 = X9
              & in(X9,succ(X1)) ) )
      | ? [X2,X3,X4] :
          ( X3 != X4
          & ? [X5] :
              ( in(X5,X0)
              & X4 = X5
              & ordinal(X5) )
          & X2 = X4
          & ? [X6] :
              ( in(X6,X0)
              & X3 = X6
              & ordinal(X6) )
          & X2 = X3 )
      | ~ ordinal(X1) ),
    inference(flattening,[],[f25]) ).

fof(f27,plain,
    ! [X0,X3] :
      ( ? [X6] :
          ( in(X6,X0)
          & X3 = X6
          & ordinal(X6) )
      | ~ sP0(X0,X3) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f28,plain,
    ! [X0] :
      ( ? [X2,X3,X4] :
          ( X3 != X4
          & ? [X5] :
              ( in(X5,X0)
              & X4 = X5
              & ordinal(X5) )
          & X2 = X4
          & sP0(X0,X3)
          & X2 = X3 )
      | ~ sP1(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ? [X7] :
        ! [X8] :
          ( in(X8,X7)
        <=> ? [X9] :
              ( ? [X10] :
                  ( in(X10,X0)
                  & X8 = X10
                  & ordinal(X10) )
              & X8 = X9
              & in(X9,succ(X1)) ) )
      | sP1(X0)
      | ~ ordinal(X1) ),
    inference(definition_folding,[],[f26,f28,f27]) ).

fof(f30,plain,
    ? [X0,X1] :
      ( ! [X2] :
        ? [X3] :
          ( ( ! [X4] :
                ( ~ in(X4,X0)
                | X3 != X4
                | ~ ordinal(X4) )
            | ~ in(X3,succ(X1))
            | ~ in(X3,X2) )
          & ( ( ? [X4] :
                  ( in(X4,X0)
                  & X3 = X4
                  & ordinal(X4) )
              & in(X3,succ(X1)) )
            | in(X3,X2) ) )
      & ordinal(X1) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f31,plain,
    ? [X0,X1] :
      ( ! [X2] :
        ? [X3] :
          ( ( ! [X4] :
                ( ~ in(X4,X0)
                | X3 != X4
                | ~ ordinal(X4) )
            | ~ in(X3,succ(X1))
            | ~ in(X3,X2) )
          & ( ( ? [X4] :
                  ( in(X4,X0)
                  & X3 = X4
                  & ordinal(X4) )
              & in(X3,succ(X1)) )
            | in(X3,X2) ) )
      & ordinal(X1) ),
    inference(flattening,[],[f30]) ).

fof(f32,plain,
    ? [X0,X1] :
      ( ! [X2] :
        ? [X3] :
          ( ( ! [X4] :
                ( ~ in(X4,X0)
                | X3 != X4
                | ~ ordinal(X4) )
            | ~ in(X3,succ(X1))
            | ~ in(X3,X2) )
          & ( ( ? [X5] :
                  ( in(X5,X0)
                  & X3 = X5
                  & ordinal(X5) )
              & in(X3,succ(X1)) )
            | in(X3,X2) ) )
      & ordinal(X1) ),
    inference(rectify,[],[f31]) ).

fof(f33,plain,
    ( ? [X0,X1] :
        ( ! [X2] :
          ? [X3] :
            ( ( ! [X4] :
                  ( ~ in(X4,X0)
                  | X3 != X4
                  | ~ ordinal(X4) )
              | ~ in(X3,succ(X1))
              | ~ in(X3,X2) )
            & ( ( ? [X5] :
                    ( in(X5,X0)
                    & X3 = X5
                    & ordinal(X5) )
                & in(X3,succ(X1)) )
              | in(X3,X2) ) )
        & ordinal(X1) )
   => ( ! [X2] :
        ? [X3] :
          ( ( ! [X4] :
                ( ~ in(X4,sK2)
                | X3 != X4
                | ~ ordinal(X4) )
            | ~ in(X3,succ(sK3))
            | ~ in(X3,X2) )
          & ( ( ? [X5] :
                  ( in(X5,sK2)
                  & X3 = X5
                  & ordinal(X5) )
              & in(X3,succ(sK3)) )
            | in(X3,X2) ) )
      & ordinal(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ! [X2] :
      ( ? [X3] :
          ( ( ! [X4] :
                ( ~ in(X4,sK2)
                | X3 != X4
                | ~ ordinal(X4) )
            | ~ in(X3,succ(sK3))
            | ~ in(X3,X2) )
          & ( ( ? [X5] :
                  ( in(X5,sK2)
                  & X3 = X5
                  & ordinal(X5) )
              & in(X3,succ(sK3)) )
            | in(X3,X2) ) )
     => ( ( ! [X4] :
              ( ~ in(X4,sK2)
              | sK4(X2) != X4
              | ~ ordinal(X4) )
          | ~ in(sK4(X2),succ(sK3))
          | ~ in(sK4(X2),X2) )
        & ( ( ? [X5] :
                ( in(X5,sK2)
                & sK4(X2) = X5
                & ordinal(X5) )
            & in(sK4(X2),succ(sK3)) )
          | in(sK4(X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ! [X2] :
      ( ? [X5] :
          ( in(X5,sK2)
          & sK4(X2) = X5
          & ordinal(X5) )
     => ( in(sK5(X2),sK2)
        & sK4(X2) = sK5(X2)
        & ordinal(sK5(X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ( ! [X2] :
        ( ( ! [X4] :
              ( ~ in(X4,sK2)
              | sK4(X2) != X4
              | ~ ordinal(X4) )
          | ~ in(sK4(X2),succ(sK3))
          | ~ in(sK4(X2),X2) )
        & ( ( in(sK5(X2),sK2)
            & sK4(X2) = sK5(X2)
            & ordinal(sK5(X2))
            & in(sK4(X2),succ(sK3)) )
          | in(sK4(X2),X2) ) )
    & ordinal(sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f32,f35,f34,f33]) ).

fof(f45,plain,
    ! [X0] :
      ( ? [X2,X3,X4] :
          ( X3 != X4
          & ? [X5] :
              ( in(X5,X0)
              & X4 = X5
              & ordinal(X5) )
          & X2 = X4
          & sP0(X0,X3)
          & X2 = X3 )
      | ~ sP1(X0) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f46,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X2 != X3
          & ? [X4] :
              ( in(X4,X0)
              & X3 = X4
              & ordinal(X4) )
          & X1 = X3
          & sP0(X0,X2)
          & X1 = X2 )
      | ~ sP1(X0) ),
    inference(rectify,[],[f45]) ).

fof(f47,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X2 != X3
          & ? [X4] :
              ( in(X4,X0)
              & X3 = X4
              & ordinal(X4) )
          & X1 = X3
          & sP0(X0,X2)
          & X1 = X2 )
     => ( sK11(X0) != sK12(X0)
        & ? [X4] :
            ( in(X4,X0)
            & sK12(X0) = X4
            & ordinal(X4) )
        & sK10(X0) = sK12(X0)
        & sP0(X0,sK11(X0))
        & sK10(X0) = sK11(X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ! [X0] :
      ( ? [X4] :
          ( in(X4,X0)
          & sK12(X0) = X4
          & ordinal(X4) )
     => ( in(sK13(X0),X0)
        & sK12(X0) = sK13(X0)
        & ordinal(sK13(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ! [X0] :
      ( ( sK11(X0) != sK12(X0)
        & in(sK13(X0),X0)
        & sK12(X0) = sK13(X0)
        & ordinal(sK13(X0))
        & sK10(X0) = sK12(X0)
        & sP0(X0,sK11(X0))
        & sK10(X0) = sK11(X0) )
      | ~ sP1(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f46,f48,f47]) ).

fof(f50,plain,
    ! [X0,X3] :
      ( ? [X6] :
          ( in(X6,X0)
          & X3 = X6
          & ordinal(X6) )
      | ~ sP0(X0,X3) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( in(X2,X0)
          & X1 = X2
          & ordinal(X2) )
      | ~ sP0(X0,X1) ),
    inference(rectify,[],[f50]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( in(X2,X0)
          & X1 = X2
          & ordinal(X2) )
     => ( in(sK14(X0,X1),X0)
        & sK14(X0,X1) = X1
        & ordinal(sK14(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ( in(sK14(X0,X1),X0)
        & sK14(X0,X1) = X1
        & ordinal(sK14(X0,X1)) )
      | ~ sP0(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f51,f52]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ? [X7] :
        ! [X8] :
          ( ( in(X8,X7)
            | ! [X9] :
                ( ! [X10] :
                    ( ~ in(X10,X0)
                    | X8 != X10
                    | ~ ordinal(X10) )
                | X8 != X9
                | ~ in(X9,succ(X1)) ) )
          & ( ? [X9] :
                ( ? [X10] :
                    ( in(X10,X0)
                    & X8 = X10
                    & ordinal(X10) )
                & X8 = X9
                & in(X9,succ(X1)) )
            | ~ in(X8,X7) ) )
      | sP1(X0)
      | ~ ordinal(X1) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( in(X3,X2)
            | ! [X4] :
                ( ! [X5] :
                    ( ~ in(X5,X0)
                    | X3 != X5
                    | ~ ordinal(X5) )
                | X3 != X4
                | ~ in(X4,succ(X1)) ) )
          & ( ? [X6] :
                ( ? [X7] :
                    ( in(X7,X0)
                    & X3 = X7
                    & ordinal(X7) )
                & X3 = X6
                & in(X6,succ(X1)) )
            | ~ in(X3,X2) ) )
      | sP1(X0)
      | ~ ordinal(X1) ),
    inference(rectify,[],[f54]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( in(X3,X2)
            | ! [X4] :
                ( ! [X5] :
                    ( ~ in(X5,X0)
                    | X3 != X5
                    | ~ ordinal(X5) )
                | X3 != X4
                | ~ in(X4,succ(X1)) ) )
          & ( ? [X6] :
                ( ? [X7] :
                    ( in(X7,X0)
                    & X3 = X7
                    & ordinal(X7) )
                & X3 = X6
                & in(X6,succ(X1)) )
            | ~ in(X3,X2) ) )
     => ! [X3] :
          ( ( in(X3,sK15(X0,X1))
            | ! [X4] :
                ( ! [X5] :
                    ( ~ in(X5,X0)
                    | X3 != X5
                    | ~ ordinal(X5) )
                | X3 != X4
                | ~ in(X4,succ(X1)) ) )
          & ( ? [X6] :
                ( ? [X7] :
                    ( in(X7,X0)
                    & X3 = X7
                    & ordinal(X7) )
                & X3 = X6
                & in(X6,succ(X1)) )
            | ~ in(X3,sK15(X0,X1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f57,plain,
    ! [X0,X1,X3] :
      ( ? [X6] :
          ( ? [X7] :
              ( in(X7,X0)
              & X3 = X7
              & ordinal(X7) )
          & X3 = X6
          & in(X6,succ(X1)) )
     => ( ? [X7] :
            ( in(X7,X0)
            & X3 = X7
            & ordinal(X7) )
        & sK16(X0,X1,X3) = X3
        & in(sK16(X0,X1,X3),succ(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f58,plain,
    ! [X0,X3] :
      ( ? [X7] :
          ( in(X7,X0)
          & X3 = X7
          & ordinal(X7) )
     => ( in(sK17(X0,X3),X0)
        & sK17(X0,X3) = X3
        & ordinal(sK17(X0,X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ! [X3] :
          ( ( in(X3,sK15(X0,X1))
            | ! [X4] :
                ( ! [X5] :
                    ( ~ in(X5,X0)
                    | X3 != X5
                    | ~ ordinal(X5) )
                | X3 != X4
                | ~ in(X4,succ(X1)) ) )
          & ( ( in(sK17(X0,X3),X0)
              & sK17(X0,X3) = X3
              & ordinal(sK17(X0,X3))
              & sK16(X0,X1,X3) = X3
              & in(sK16(X0,X1,X3),succ(X1)) )
            | ~ in(X3,sK15(X0,X1)) ) )
      | sP1(X0)
      | ~ ordinal(X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f55,f58,f57,f56]) ).

fof(f60,plain,
    ordinal(sK3),
    inference(cnf_transformation,[],[f36]) ).

fof(f61,plain,
    ! [X2] :
      ( in(sK4(X2),succ(sK3))
      | in(sK4(X2),X2) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f62,plain,
    ! [X2] :
      ( ordinal(sK5(X2))
      | in(sK4(X2),X2) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f63,plain,
    ! [X2] :
      ( sK4(X2) = sK5(X2)
      | in(sK4(X2),X2) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f64,plain,
    ! [X2] :
      ( in(sK5(X2),sK2)
      | in(sK4(X2),X2) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f65,plain,
    ! [X2,X4] :
      ( ~ in(X4,sK2)
      | sK4(X2) != X4
      | ~ ordinal(X4)
      | ~ in(sK4(X2),succ(sK3))
      | ~ in(sK4(X2),X2) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f87,plain,
    ! [X0] :
      ( sK10(X0) = sK11(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f88,plain,
    ! [X0] :
      ( sP0(X0,sK11(X0))
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f89,plain,
    ! [X0] :
      ( sK10(X0) = sK12(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f93,plain,
    ! [X0] :
      ( sK11(X0) != sK12(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ordinal(sK14(X0,X1))
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( sK14(X0,X1) = X1
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f97,plain,
    ! [X3,X0,X1] :
      ( in(sK16(X0,X1,X3),succ(X1))
      | ~ in(X3,sK15(X0,X1))
      | sP1(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f98,plain,
    ! [X3,X0,X1] :
      ( sK16(X0,X1,X3) = X3
      | ~ in(X3,sK15(X0,X1))
      | sP1(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f99,plain,
    ! [X3,X0,X1] :
      ( ordinal(sK17(X0,X3))
      | ~ in(X3,sK15(X0,X1))
      | sP1(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f100,plain,
    ! [X3,X0,X1] :
      ( sK17(X0,X3) = X3
      | ~ in(X3,sK15(X0,X1))
      | sP1(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f101,plain,
    ! [X3,X0,X1] :
      ( in(sK17(X0,X3),X0)
      | ~ in(X3,sK15(X0,X1))
      | sP1(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f102,plain,
    ! [X3,X0,X1,X4,X5] :
      ( in(X3,sK15(X0,X1))
      | ~ in(X5,X0)
      | X3 != X5
      | ~ ordinal(X5)
      | X3 != X4
      | ~ in(X4,succ(X1))
      | sP1(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f103,plain,
    ! [X2] :
      ( ~ in(sK4(X2),sK2)
      | ~ ordinal(sK4(X2))
      | ~ in(sK4(X2),succ(sK3))
      | ~ in(sK4(X2),X2) ),
    inference(equality_resolution,[],[f65]) ).

fof(f104,plain,
    ! [X0,X1,X4,X5] :
      ( in(X5,sK15(X0,X1))
      | ~ in(X5,X0)
      | ~ ordinal(X5)
      | X4 != X5
      | ~ in(X4,succ(X1))
      | sP1(X0)
      | ~ ordinal(X1) ),
    inference(equality_resolution,[],[f102]) ).

fof(f105,plain,
    ! [X0,X1,X5] :
      ( in(X5,sK15(X0,X1))
      | ~ in(X5,X0)
      | ~ ordinal(X5)
      | ~ in(X5,succ(X1))
      | sP1(X0)
      | ~ ordinal(X1) ),
    inference(equality_resolution,[],[f104]) ).

cnf(c_49,negated_conjecture,
    ( ~ in(sK4(X0),succ(sK3))
    | ~ in(sK4(X0),X0)
    | ~ in(sK4(X0),sK2)
    | ~ ordinal(sK4(X0)) ),
    inference(cnf_transformation,[],[f103]) ).

cnf(c_50,negated_conjecture,
    ( in(sK4(X0),X0)
    | in(sK5(X0),sK2) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_51,negated_conjecture,
    ( sK4(X0) = sK5(X0)
    | in(sK4(X0),X0) ),
    inference(cnf_transformation,[],[f63]) ).

cnf(c_52,negated_conjecture,
    ( in(sK4(X0),X0)
    | ordinal(sK5(X0)) ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_53,negated_conjecture,
    ( in(sK4(X0),succ(sK3))
    | in(sK4(X0),X0) ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_54,negated_conjecture,
    ordinal(sK3),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_68,plain,
    ( ~ in(X0,X1)
    | ~ in(X1,X0) ),
    inference(cnf_transformation,[],[f79]) ).

cnf(c_76,plain,
    ( sK11(X0) != sK12(X0)
    | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_80,plain,
    ( ~ sP1(X0)
    | sK12(X0) = sK10(X0) ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_81,plain,
    ( ~ sP1(X0)
    | sP0(X0,sK11(X0)) ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_82,plain,
    ( ~ sP1(X0)
    | sK11(X0) = sK10(X0) ),
    inference(cnf_transformation,[],[f87]) ).

cnf(c_84,plain,
    ( ~ sP0(X0,X1)
    | sK14(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f95]) ).

cnf(c_85,plain,
    ( ~ sP0(X0,X1)
    | ordinal(sK14(X0,X1)) ),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_86,plain,
    ( ~ in(X0,succ(X1))
    | ~ in(X0,X2)
    | ~ ordinal(X0)
    | ~ ordinal(X1)
    | in(X0,sK15(X2,X1))
    | sP1(X2) ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_87,plain,
    ( ~ in(X0,sK15(X1,X2))
    | ~ ordinal(X2)
    | in(sK17(X1,X0),X1)
    | sP1(X1) ),
    inference(cnf_transformation,[],[f101]) ).

cnf(c_88,plain,
    ( ~ in(X0,sK15(X1,X2))
    | ~ ordinal(X2)
    | sK17(X1,X0) = X0
    | sP1(X1) ),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_89,plain,
    ( ~ in(X0,sK15(X1,X2))
    | ~ ordinal(X2)
    | ordinal(sK17(X1,X0))
    | sP1(X1) ),
    inference(cnf_transformation,[],[f99]) ).

cnf(c_90,plain,
    ( ~ in(X0,sK15(X1,X2))
    | ~ ordinal(X2)
    | sK16(X1,X2,X0) = X0
    | sP1(X1) ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_91,plain,
    ( ~ in(X0,sK15(X1,X2))
    | ~ ordinal(X2)
    | in(sK16(X1,X2,X0),succ(X2))
    | sP1(X1) ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_499,plain,
    ( sK11(X0) != X1
    | X0 != X2
    | ~ sP1(X0)
    | ordinal(sK14(X2,X1)) ),
    inference(resolution_lifted,[status(thm)],[c_81,c_85]) ).

cnf(c_500,plain,
    ( ~ sP1(X0)
    | ordinal(sK14(X0,sK11(X0))) ),
    inference(unflattening,[status(thm)],[c_499]) ).

cnf(c_508,plain,
    ( sK11(X0) != X1
    | X0 != X2
    | ~ sP1(X0)
    | sK14(X2,X1) = X1 ),
    inference(resolution_lifted,[status(thm)],[c_81,c_84]) ).

cnf(c_509,plain,
    ( ~ sP1(X0)
    | sK14(X0,sK11(X0)) = sK11(X0) ),
    inference(unflattening,[status(thm)],[c_508]) ).

cnf(c_2934,plain,
    succ(sK3) = sP0_iProver_def,
    definition ).

cnf(c_2935,negated_conjecture,
    ordinal(sK3),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_2936,negated_conjecture,
    ( in(sK4(X0),X0)
    | in(sK4(X0),sP0_iProver_def) ),
    inference(demodulation,[status(thm)],[c_53,c_2934]) ).

cnf(c_2937,negated_conjecture,
    ( in(sK4(X0),X0)
    | ordinal(sK5(X0)) ),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_2938,negated_conjecture,
    ( sK4(X0) = sK5(X0)
    | in(sK4(X0),X0) ),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_2939,negated_conjecture,
    ( in(sK4(X0),X0)
    | in(sK5(X0),sK2) ),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_2940,negated_conjecture,
    ( ~ in(sK4(X0),X0)
    | ~ in(sK4(X0),sK2)
    | ~ in(sK4(X0),sP0_iProver_def)
    | ~ ordinal(sK4(X0)) ),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_2943,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_3503,plain,
    ( ~ ordinal(X0)
    | sK4(sK15(X1,X0)) = sK5(sK15(X1,X0))
    | ordinal(sK17(X1,sK4(sK15(X1,X0))))
    | sP1(X1) ),
    inference(superposition,[status(thm)],[c_2938,c_89]) ).

cnf(c_3506,plain,
    ( ~ ordinal(X0)
    | ordinal(sK17(X1,sK4(sK15(X1,X0))))
    | ordinal(sK5(sK15(X1,X0)))
    | sP1(X1) ),
    inference(superposition,[status(thm)],[c_2937,c_89]) ).

cnf(c_3554,plain,
    ( ~ ordinal(X0)
    | sK4(sK15(X1,X0)) = sK5(sK15(X1,X0))
    | in(sK17(X1,sK4(sK15(X1,X0))),X1)
    | sP1(X1) ),
    inference(superposition,[status(thm)],[c_2938,c_87]) ).

cnf(c_3555,plain,
    ( ~ ordinal(X0)
    | in(sK17(X1,sK4(sK15(X1,X0))),X1)
    | in(sK5(sK15(X1,X0)),sK2)
    | sP1(X1) ),
    inference(superposition,[status(thm)],[c_2939,c_87]) ).

cnf(c_3556,plain,
    ( ~ ordinal(X0)
    | in(sK17(X1,sK4(sK15(X1,X0))),X1)
    | in(sK4(sK15(X1,X0)),sP0_iProver_def)
    | sP1(X1) ),
    inference(superposition,[status(thm)],[c_2936,c_87]) ).

cnf(c_3607,plain,
    ( ~ ordinal(X0)
    | sK17(X1,sK4(sK15(X1,X0))) = sK4(sK15(X1,X0))
    | sK4(sK15(X1,X0)) = sK5(sK15(X1,X0))
    | sP1(X1) ),
    inference(superposition,[status(thm)],[c_2938,c_88]) ).

cnf(c_3608,plain,
    ( ~ ordinal(X0)
    | sK17(X1,sK4(sK15(X1,X0))) = sK4(sK15(X1,X0))
    | in(sK5(sK15(X1,X0)),sK2)
    | sP1(X1) ),
    inference(superposition,[status(thm)],[c_2939,c_88]) ).

cnf(c_3609,plain,
    ( ~ ordinal(X0)
    | sK17(X1,sK4(sK15(X1,X0))) = sK4(sK15(X1,X0))
    | in(sK4(sK15(X1,X0)),sP0_iProver_def)
    | sP1(X1) ),
    inference(superposition,[status(thm)],[c_2936,c_88]) ).

cnf(c_3610,plain,
    ( ~ ordinal(X0)
    | sK17(X1,sK4(sK15(X1,X0))) = sK4(sK15(X1,X0))
    | ordinal(sK5(sK15(X1,X0)))
    | sP1(X1) ),
    inference(superposition,[status(thm)],[c_2937,c_88]) ).

cnf(c_3612,plain,
    ( ~ in(X0,succ(X1))
    | ~ in(X0,X2)
    | ~ ordinal(X0)
    | ~ ordinal(X1)
    | sK17(X2,X0) = X0
    | sP1(X2) ),
    inference(superposition,[status(thm)],[c_86,c_88]) ).

cnf(c_3676,plain,
    ( ~ ordinal(X0)
    | sK16(X1,X0,sK4(sK15(X1,X0))) = sK4(sK15(X1,X0))
    | sK4(sK15(X1,X0)) = sK5(sK15(X1,X0))
    | sP1(X1) ),
    inference(superposition,[status(thm)],[c_2938,c_90]) ).

cnf(c_3678,plain,
    ( ~ ordinal(X0)
    | sK16(X1,X0,sK4(sK15(X1,X0))) = sK4(sK15(X1,X0))
    | in(sK4(sK15(X1,X0)),sP0_iProver_def)
    | sP1(X1) ),
    inference(superposition,[status(thm)],[c_2936,c_90]) ).

cnf(c_3755,plain,
    ( ~ in(X0,sK15(X1,sK3))
    | ~ ordinal(sK3)
    | in(sK16(X1,sK3,X0),sP0_iProver_def)
    | sP1(X1) ),
    inference(superposition,[status(thm)],[c_2934,c_91]) ).

cnf(c_3757,plain,
    ( ~ in(X0,sK15(X1,sK3))
    | in(sK16(X1,sK3,X0),sP0_iProver_def)
    | sP1(X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3755,c_2935]) ).

cnf(c_4418,plain,
    ( sK17(X0,sK4(sK15(X0,sK3))) = sK4(sK15(X0,sK3))
    | sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
    | sP1(X0) ),
    inference(superposition,[status(thm)],[c_2935,c_3607]) ).

cnf(c_4598,plain,
    ( sK11(X0) != X1
    | sK12(X0) != X1
    | sK11(X0) = sK12(X0) ),
    inference(instantiation,[status(thm)],[c_2943]) ).

cnf(c_5076,plain,
    ( ~ in(X0,X1)
    | ~ in(X0,sP0_iProver_def)
    | ~ ordinal(X0)
    | ~ ordinal(sK3)
    | sK17(X1,X0) = X0
    | sP1(X1) ),
    inference(superposition,[status(thm)],[c_2934,c_3612]) ).

cnf(c_5077,plain,
    ( ~ in(X0,X1)
    | ~ in(X0,sP0_iProver_def)
    | ~ ordinal(X0)
    | sK17(X1,X0) = X0
    | sP1(X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5076,c_2935]) ).

cnf(c_5616,plain,
    ( sK11(X0) != sK10(X0)
    | sK12(X0) != sK10(X0)
    | sK11(X0) = sK12(X0) ),
    inference(instantiation,[status(thm)],[c_4598]) ).

cnf(c_5792,plain,
    ( sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
    | sK17(X0,sK4(sK15(X0,sK3))) = sK4(sK15(X0,sK3)) ),
    inference(global_subsumption_just,[status(thm)],[c_4418,c_82,c_80,c_76,c_4418,c_5616]) ).

cnf(c_5793,plain,
    ( sK17(X0,sK4(sK15(X0,sK3))) = sK4(sK15(X0,sK3))
    | sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3)) ),
    inference(renaming,[status(thm)],[c_5792]) ).

cnf(c_5805,plain,
    ( ~ ordinal(sK3)
    | sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
    | in(sK4(sK15(X0,sK3)),X0)
    | sP1(X0) ),
    inference(superposition,[status(thm)],[c_5793,c_3554]) ).

cnf(c_5806,plain,
    ( ~ ordinal(sK3)
    | sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
    | ordinal(sK4(sK15(X0,sK3)))
    | sP1(X0) ),
    inference(superposition,[status(thm)],[c_5793,c_3503]) ).

cnf(c_5813,plain,
    ( sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
    | ordinal(sK4(sK15(X0,sK3)))
    | sP1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5806,c_2935]) ).

cnf(c_5817,plain,
    ( sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
    | in(sK4(sK15(X0,sK3)),X0)
    | sP1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5805,c_2935]) ).

cnf(c_5999,plain,
    ( ordinal(sK4(sK15(X0,sK3)))
    | sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3)) ),
    inference(global_subsumption_just,[status(thm)],[c_5813,c_82,c_80,c_76,c_5616,c_5813]) ).

cnf(c_6000,plain,
    ( sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
    | ordinal(sK4(sK15(X0,sK3))) ),
    inference(renaming,[status(thm)],[c_5999]) ).

cnf(c_6012,plain,
    ( in(sK4(sK15(X0,sK3)),X0)
    | sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3)) ),
    inference(global_subsumption_just,[status(thm)],[c_5817,c_82,c_80,c_76,c_5616,c_5817]) ).

cnf(c_6013,plain,
    ( sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
    | in(sK4(sK15(X0,sK3)),X0) ),
    inference(renaming,[status(thm)],[c_6012]) ).

cnf(c_6019,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3)))
    | sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
    inference(superposition,[status(thm)],[c_6013,c_2940]) ).

cnf(c_7167,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6019,c_6000,c_2938]) ).

cnf(c_8160,plain,
    ( sK16(X0,sK3,sK4(sK15(X0,sK3))) = sK4(sK15(X0,sK3))
    | sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
    | sP1(X0) ),
    inference(superposition,[status(thm)],[c_2935,c_3676]) ).

cnf(c_8442,plain,
    ( sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
    | sK16(X0,sK3,sK4(sK15(X0,sK3))) = sK4(sK15(X0,sK3)) ),
    inference(global_subsumption_just,[status(thm)],[c_8160,c_82,c_80,c_76,c_5616,c_8160]) ).

cnf(c_8443,plain,
    ( sK16(X0,sK3,sK4(sK15(X0,sK3))) = sK4(sK15(X0,sK3))
    | sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3)) ),
    inference(renaming,[status(thm)],[c_8442]) ).

cnf(c_8451,plain,
    ( ~ in(sK4(sK15(X0,sK3)),sK15(X0,sK3))
    | sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
    | in(sK4(sK15(X0,sK3)),sP0_iProver_def)
    | sP1(X0) ),
    inference(superposition,[status(thm)],[c_8443,c_3757]) ).

cnf(c_13389,plain,
    ( in(sK4(sK15(X0,sK3)),sP0_iProver_def)
    | sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
    | ~ in(sK4(sK15(X0,sK3)),sK15(X0,sK3)) ),
    inference(global_subsumption_just,[status(thm)],[c_8451,c_82,c_80,c_76,c_5616,c_8451]) ).

cnf(c_13390,plain,
    ( ~ in(sK4(sK15(X0,sK3)),sK15(X0,sK3))
    | sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
    | in(sK4(sK15(X0,sK3)),sP0_iProver_def) ),
    inference(renaming,[status(thm)],[c_13389]) ).

cnf(c_13395,plain,
    ( sK4(sK15(X0,sK3)) = sK5(sK15(X0,sK3))
    | in(sK4(sK15(X0,sK3)),sP0_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13390,c_2938]) ).

cnf(c_13398,plain,
    sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)),
    inference(backward_subsumption_resolution,[status(thm)],[c_7167,c_13395]) ).

cnf(c_13434,plain,
    ( in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
    | in(sK4(sK15(sK2,sK3)),sK2) ),
    inference(superposition,[status(thm)],[c_13398,c_2939]) ).

cnf(c_13439,plain,
    ( ~ ordinal(sK3)
    | sK17(sK2,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | in(sK4(sK15(sK2,sK3)),sK2)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_13398,c_3608]) ).

cnf(c_13440,plain,
    ( ~ ordinal(sK3)
    | sK17(sK2,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | ordinal(sK4(sK15(sK2,sK3)))
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_13398,c_3610]) ).

cnf(c_13445,plain,
    ( sK17(sK2,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | ordinal(sK4(sK15(sK2,sK3)))
    | sP1(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13440,c_2935]) ).

cnf(c_13452,plain,
    ( sK17(sK2,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | in(sK4(sK15(sK2,sK3)),sK2)
    | sP1(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13439,c_2935]) ).

cnf(c_13639,plain,
    ( ~ ordinal(sK3)
    | in(sK17(sK2,sK4(sK15(sK2,sK3))),sK2)
    | in(sK4(sK15(sK2,sK3)),sK2)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_13434,c_87]) ).

cnf(c_13647,plain,
    ( in(sK17(sK2,sK4(sK15(sK2,sK3))),sK2)
    | in(sK4(sK15(sK2,sK3)),sK2)
    | sP1(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13639,c_2935]) ).

cnf(c_13857,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3)))
    | sK17(sK2,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_13452,c_5077]) ).

cnf(c_14210,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | sK17(sK2,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sP1(sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_13857,c_13445,c_13857]) ).

cnf(c_14220,plain,
    ( ~ ordinal(sK3)
    | sK17(sK2,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_3609,c_14210]) ).

cnf(c_14222,plain,
    ( sK17(sK2,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sP1(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14220,c_2935]) ).

cnf(c_14231,plain,
    ( sK17(sK2,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sK14(sK2,sK11(sK2)) = sK11(sK2) ),
    inference(superposition,[status(thm)],[c_14222,c_509]) ).

cnf(c_14232,plain,
    ( sK17(sK2,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sK11(sK2) = sK10(sK2) ),
    inference(superposition,[status(thm)],[c_14222,c_82]) ).

cnf(c_14233,plain,
    ( sK17(sK2,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sK12(sK2) = sK10(sK2) ),
    inference(superposition,[status(thm)],[c_14222,c_80]) ).

cnf(c_14261,plain,
    ( ~ ordinal(sK3)
    | sK11(sK2) = sK10(sK2)
    | ordinal(sK4(sK15(sK2,sK3)))
    | ordinal(sK5(sK15(sK2,sK3)))
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_14232,c_3506]) ).

cnf(c_14266,plain,
    ( sK11(sK2) = sK10(sK2)
    | in(sK4(sK15(sK2,sK3)),sK2)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_14232,c_13647]) ).

cnf(c_14282,plain,
    ( ~ ordinal(sK3)
    | sK11(sK2) = sK10(sK2)
    | ordinal(sK4(sK15(sK2,sK3)))
    | sP1(sK2) ),
    inference(light_normalisation,[status(thm)],[c_14261,c_13398]) ).

cnf(c_14283,plain,
    ( sK11(sK2) = sK10(sK2)
    | ordinal(sK4(sK15(sK2,sK3)))
    | sP1(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14282,c_2935]) ).

cnf(c_14338,plain,
    ( sK11(sK2) = sK10(sK2)
    | ordinal(sK4(sK15(sK2,sK3))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14283,c_82]) ).

cnf(c_14362,plain,
    ( sK11(sK2) = sK10(sK2)
    | in(sK4(sK15(sK2,sK3)),sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14266,c_82]) ).

cnf(c_14365,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3)))
    | sK11(sK2) = sK10(sK2) ),
    inference(superposition,[status(thm)],[c_14362,c_2940]) ).

cnf(c_14393,plain,
    ( ~ ordinal(sK3)
    | sK14(sK2,sK11(sK2)) = sK11(sK2)
    | in(sK4(sK15(sK2,sK3)),sK2)
    | in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_14231,c_3556]) ).

cnf(c_14398,plain,
    ( ~ ordinal(sK3)
    | sK14(sK2,sK11(sK2)) = sK11(sK2)
    | ordinal(sK4(sK15(sK2,sK3)))
    | ordinal(sK5(sK15(sK2,sK3)))
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_14231,c_3506]) ).

cnf(c_14403,plain,
    ( sK14(sK2,sK11(sK2)) = sK11(sK2)
    | in(sK4(sK15(sK2,sK3)),sK2)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_14231,c_13647]) ).

cnf(c_14419,plain,
    ( ~ ordinal(sK3)
    | sK14(sK2,sK11(sK2)) = sK11(sK2)
    | ordinal(sK4(sK15(sK2,sK3)))
    | sP1(sK2) ),
    inference(light_normalisation,[status(thm)],[c_14398,c_13398]) ).

cnf(c_14420,plain,
    ( sK14(sK2,sK11(sK2)) = sK11(sK2)
    | ordinal(sK4(sK15(sK2,sK3)))
    | sP1(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14419,c_2935]) ).

cnf(c_14435,plain,
    ( sK14(sK2,sK11(sK2)) = sK11(sK2)
    | in(sK4(sK15(sK2,sK3)),sK2)
    | in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | sP1(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14393,c_2935]) ).

cnf(c_14485,plain,
    ( ~ ordinal(sK3)
    | sK12(sK2) = sK10(sK2)
    | ordinal(sK4(sK15(sK2,sK3)))
    | ordinal(sK5(sK15(sK2,sK3)))
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_14233,c_3506]) ).

cnf(c_14490,plain,
    ( sK12(sK2) = sK10(sK2)
    | in(sK4(sK15(sK2,sK3)),sK2)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_14233,c_13647]) ).

cnf(c_14506,plain,
    ( ~ ordinal(sK3)
    | sK12(sK2) = sK10(sK2)
    | ordinal(sK4(sK15(sK2,sK3)))
    | sP1(sK2) ),
    inference(light_normalisation,[status(thm)],[c_14485,c_13398]) ).

cnf(c_14507,plain,
    ( sK12(sK2) = sK10(sK2)
    | ordinal(sK4(sK15(sK2,sK3)))
    | sP1(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14506,c_2935]) ).

cnf(c_14553,plain,
    ( ~ sP1(sK2)
    | sK14(sK2,sK11(sK2)) = sK11(sK2) ),
    inference(instantiation,[status(thm)],[c_509]) ).

cnf(c_14555,plain,
    ( sK11(sK2) != sK12(sK2)
    | ~ sP1(sK2) ),
    inference(instantiation,[status(thm)],[c_76]) ).

cnf(c_14673,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | sK11(sK2) = sK10(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14365,c_14338]) ).

cnf(c_14683,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),succ(sK3))
    | ~ in(sK4(sK15(sK2,sK3)),sK2)
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3)))
    | ~ ordinal(sK3)
    | sK11(sK2) = sK10(sK2)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_86,c_14673]) ).

cnf(c_14698,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK2)
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3)))
    | ~ ordinal(sK3)
    | sK11(sK2) = sK10(sK2)
    | sP1(sK2) ),
    inference(light_normalisation,[status(thm)],[c_14683,c_2934]) ).

cnf(c_14699,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK2)
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3)))
    | sK11(sK2) = sK10(sK2)
    | sP1(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14698,c_2935]) ).

cnf(c_14708,plain,
    ( sK12(sK2) = sK10(sK2)
    | ordinal(sK4(sK15(sK2,sK3))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14507,c_80]) ).

cnf(c_14744,plain,
    ( sK12(sK2) = sK10(sK2)
    | in(sK4(sK15(sK2,sK3)),sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14490,c_80]) ).

cnf(c_14747,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3)))
    | sK12(sK2) = sK10(sK2) ),
    inference(superposition,[status(thm)],[c_14744,c_2940]) ).

cnf(c_14774,plain,
    ( ordinal(sK4(sK15(sK2,sK3)))
    | sK14(sK2,sK11(sK2)) = sK11(sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_14420,c_14420,c_14553]) ).

cnf(c_14775,plain,
    ( sK14(sK2,sK11(sK2)) = sK11(sK2)
    | ordinal(sK4(sK15(sK2,sK3))) ),
    inference(renaming,[status(thm)],[c_14774]) ).

cnf(c_14823,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | sK11(sK2) = sK10(sK2)
    | sP1(sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_14699,c_14283,c_14266,c_14699]) ).

cnf(c_14828,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | sK11(sK2) = sK10(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14823,c_82]) ).

cnf(c_14831,plain,
    ( sK11(sK2) = sK10(sK2)
    | in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3)) ),
    inference(superposition,[status(thm)],[c_2936,c_14828]) ).

cnf(c_14832,plain,
    ( ~ ordinal(sK3)
    | sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sK11(sK2) = sK10(sK2)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_3678,c_14828]) ).

cnf(c_14837,plain,
    ( sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sK11(sK2) = sK10(sK2)
    | sP1(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14832,c_2935]) ).

cnf(c_15136,plain,
    ( sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sK11(sK2) = sK10(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14837,c_82]) ).

cnf(c_15141,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
    | sK11(sK2) = sK10(sK2)
    | in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_15136,c_3757]) ).

cnf(c_15155,plain,
    ( sK14(sK2,sK11(sK2)) = sK11(sK2)
    | in(sK4(sK15(sK2,sK3)),sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_14435,c_14403,c_14553]) ).

cnf(c_15161,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3)))
    | sK14(sK2,sK11(sK2)) = sK11(sK2) ),
    inference(superposition,[status(thm)],[c_15155,c_2940]) ).

cnf(c_15180,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | sK12(sK2) = sK10(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14747,c_14708]) ).

cnf(c_15190,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),succ(sK3))
    | ~ in(sK4(sK15(sK2,sK3)),sK2)
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3)))
    | ~ ordinal(sK3)
    | sK12(sK2) = sK10(sK2)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_86,c_15180]) ).

cnf(c_15206,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK2)
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3)))
    | ~ ordinal(sK3)
    | sK12(sK2) = sK10(sK2)
    | sP1(sK2) ),
    inference(light_normalisation,[status(thm)],[c_15190,c_2934]) ).

cnf(c_15207,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK2)
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3)))
    | sK12(sK2) = sK10(sK2)
    | sP1(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15206,c_2935]) ).

cnf(c_15250,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | sK12(sK2) = sK10(sK2)
    | sP1(sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_15207,c_14507,c_14490,c_15207]) ).

cnf(c_15255,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | sK12(sK2) = sK10(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15250,c_80]) ).

cnf(c_15258,plain,
    ( sK12(sK2) = sK10(sK2)
    | in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3)) ),
    inference(superposition,[status(thm)],[c_2936,c_15255]) ).

cnf(c_15259,plain,
    ( ~ ordinal(sK3)
    | sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sK12(sK2) = sK10(sK2)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_3678,c_15255]) ).

cnf(c_15264,plain,
    ( sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sK12(sK2) = sK10(sK2)
    | sP1(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15259,c_2935]) ).

cnf(c_15638,plain,
    ( sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sK12(sK2) = sK10(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15264,c_80]) ).

cnf(c_15643,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
    | sK12(sK2) = sK10(sK2)
    | in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_15638,c_3757]) ).

cnf(c_15705,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
    | sK14(sK2,sK11(sK2)) = sK11(sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_15161,c_14775,c_15161]) ).

cnf(c_15706,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | sK14(sK2,sK11(sK2)) = sK11(sK2) ),
    inference(renaming,[status(thm)],[c_15705]) ).

cnf(c_15719,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),succ(sK3))
    | ~ in(sK4(sK15(sK2,sK3)),sK2)
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3)))
    | ~ ordinal(sK3)
    | sK14(sK2,sK11(sK2)) = sK11(sK2)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_86,c_15706]) ).

cnf(c_15742,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK2)
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3)))
    | ~ ordinal(sK3)
    | sK14(sK2,sK11(sK2)) = sK11(sK2)
    | sP1(sK2) ),
    inference(light_normalisation,[status(thm)],[c_15719,c_2934]) ).

cnf(c_15743,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK2)
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3)))
    | sK14(sK2,sK11(sK2)) = sK11(sK2)
    | sP1(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15742,c_2935]) ).

cnf(c_15749,plain,
    ( sK14(sK2,sK11(sK2)) = sK11(sK2)
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def) ),
    inference(global_subsumption_just,[status(thm)],[c_15743,c_14553,c_14775,c_15155,c_15743]) ).

cnf(c_15750,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | sK14(sK2,sK11(sK2)) = sK11(sK2) ),
    inference(renaming,[status(thm)],[c_15749]) ).

cnf(c_15755,plain,
    ( sK14(sK2,sK11(sK2)) = sK11(sK2)
    | in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3)) ),
    inference(superposition,[status(thm)],[c_2936,c_15750]) ).

cnf(c_15756,plain,
    ( ~ ordinal(sK3)
    | sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sK14(sK2,sK11(sK2)) = sK11(sK2)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_3678,c_15750]) ).

cnf(c_15761,plain,
    ( sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sK14(sK2,sK11(sK2)) = sK11(sK2)
    | sP1(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15756,c_2935]) ).

cnf(c_15801,plain,
    ( ~ ordinal(sK3)
    | sK14(sK2,sK11(sK2)) = sK11(sK2)
    | in(sK17(sK2,sK4(sK15(sK2,sK3))),sK2)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_15755,c_87]) ).

cnf(c_15809,plain,
    ( sK14(sK2,sK11(sK2)) = sK11(sK2)
    | in(sK17(sK2,sK4(sK15(sK2,sK3))),sK2)
    | sP1(sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15801,c_2935]) ).

cnf(c_15869,plain,
    ( in(sK17(sK2,sK4(sK15(sK2,sK3))),sK2)
    | sK14(sK2,sK11(sK2)) = sK11(sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_15809,c_14553,c_15809]) ).

cnf(c_15870,plain,
    ( sK14(sK2,sK11(sK2)) = sK11(sK2)
    | in(sK17(sK2,sK4(sK15(sK2,sK3))),sK2) ),
    inference(renaming,[status(thm)],[c_15869]) ).

cnf(c_15881,plain,
    ( ~ in(sK2,sK17(sK2,sK4(sK15(sK2,sK3))))
    | sK14(sK2,sK11(sK2)) = sK11(sK2) ),
    inference(superposition,[status(thm)],[c_15870,c_68]) ).

cnf(c_15894,plain,
    ( sK14(sK2,sK11(sK2)) = sK11(sK2)
    | sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3)) ),
    inference(global_subsumption_just,[status(thm)],[c_15761,c_14553,c_15761]) ).

cnf(c_15895,plain,
    ( sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sK14(sK2,sK11(sK2)) = sK11(sK2) ),
    inference(renaming,[status(thm)],[c_15894]) ).

cnf(c_15902,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
    | sK14(sK2,sK11(sK2)) = sK11(sK2)
    | in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_15895,c_3757]) ).

cnf(c_15916,plain,
    sK14(sK2,sK11(sK2)) = sK11(sK2),
    inference(global_subsumption_just,[status(thm)],[c_15881,c_14553,c_15750,c_15755,c_15902]) ).

cnf(c_15925,plain,
    ( ~ sP1(sK2)
    | ordinal(sK11(sK2)) ),
    inference(superposition,[status(thm)],[c_15916,c_500]) ).

cnf(c_15932,plain,
    ( sK11(sK2) = sK10(sK2)
    | sP1(sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_15141,c_14823,c_14831,c_15141]) ).

cnf(c_15936,plain,
    sK11(sK2) = sK10(sK2),
    inference(forward_subsumption_resolution,[status(thm)],[c_15932,c_82]) ).

cnf(c_15997,plain,
    ( sK12(sK2) = sK10(sK2)
    | sP1(sK2) ),
    inference(global_subsumption_just,[status(thm)],[c_15643,c_15250,c_15258,c_15643]) ).

cnf(c_15999,plain,
    ( sK11(sK2) = sK12(sK2)
    | sP1(sK2) ),
    inference(light_normalisation,[status(thm)],[c_15997,c_15936]) ).

cnf(c_16006,plain,
    ( sK11(sK2) = sK12(sK2)
    | sK12(sK2) = sK10(sK2) ),
    inference(superposition,[status(thm)],[c_15999,c_80]) ).

cnf(c_16008,plain,
    sK11(sK2) = sK12(sK2),
    inference(light_normalisation,[status(thm)],[c_16006,c_15936]) ).

cnf(c_16246,plain,
    ~ sP1(sK2),
    inference(global_subsumption_just,[status(thm)],[c_15925,c_14555,c_16008]) ).

cnf(c_16248,plain,
    sK17(sK2,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3)),
    inference(backward_subsumption_resolution,[status(thm)],[c_14222,c_16246]) ).

cnf(c_16296,plain,
    ( ~ ordinal(sK3)
    | in(sK4(sK15(sK2,sK3)),sK2)
    | in(sK5(sK15(sK2,sK3)),sK2)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_16248,c_3555]) ).

cnf(c_16300,plain,
    ( ~ ordinal(sK3)
    | ordinal(sK4(sK15(sK2,sK3)))
    | ordinal(sK5(sK15(sK2,sK3)))
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_16248,c_3506]) ).

cnf(c_16301,plain,
    ( ~ ordinal(sK3)
    | ordinal(sK4(sK15(sK2,sK3)))
    | sP1(sK2) ),
    inference(light_normalisation,[status(thm)],[c_16300,c_13398]) ).

cnf(c_16302,plain,
    ordinal(sK4(sK15(sK2,sK3))),
    inference(forward_subsumption_resolution,[status(thm)],[c_16301,c_16246,c_2935]) ).

cnf(c_16305,plain,
    ( ~ ordinal(sK3)
    | in(sK4(sK15(sK2,sK3)),sK2)
    | sP1(sK2) ),
    inference(light_normalisation,[status(thm)],[c_16296,c_13398]) ).

cnf(c_16306,plain,
    in(sK4(sK15(sK2,sK3)),sK2),
    inference(forward_subsumption_resolution,[status(thm)],[c_16305,c_16246,c_2935]) ).

cnf(c_16329,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3))) ),
    inference(superposition,[status(thm)],[c_16306,c_2940]) ).

cnf(c_16333,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16329,c_16302]) ).

cnf(c_16840,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),succ(sK3))
    | ~ in(sK4(sK15(sK2,sK3)),sK2)
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3)))
    | ~ ordinal(sK3)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_86,c_16333]) ).

cnf(c_16851,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK2)
    | ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | ~ ordinal(sK4(sK15(sK2,sK3)))
    | ~ ordinal(sK3)
    | sP1(sK2) ),
    inference(light_normalisation,[status(thm)],[c_16840,c_2934]) ).

cnf(c_16852,plain,
    ~ in(sK4(sK15(sK2,sK3)),sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_16851,c_16246,c_2935,c_16302,c_16306]) ).

cnf(c_16853,plain,
    in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3)),
    inference(superposition,[status(thm)],[c_2936,c_16852]) ).

cnf(c_16854,plain,
    ( ~ ordinal(sK3)
    | sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_3678,c_16852]) ).

cnf(c_16857,plain,
    sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3)),
    inference(forward_subsumption_resolution,[status(thm)],[c_16854,c_16246,c_2935]) ).

cnf(c_16869,plain,
    ( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
    | in(sK4(sK15(sK2,sK3)),sP0_iProver_def)
    | sP1(sK2) ),
    inference(superposition,[status(thm)],[c_16857,c_3757]) ).

cnf(c_16871,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_16869,c_16246,c_16852,c_16853]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU272+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n026.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
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 18:10:06 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.54/1.67  % SZS status Started for theBenchmark.p
% 7.54/1.67  % SZS status Theorem for theBenchmark.p
% 7.54/1.67  
% 7.54/1.67  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.54/1.67  
% 7.54/1.67  ------  iProver source info
% 7.54/1.67  
% 7.54/1.67  git: date: 2024-05-02 19:28:25 +0000
% 7.54/1.67  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.54/1.67  git: non_committed_changes: false
% 7.54/1.67  
% 7.54/1.67  ------ Parsing...
% 7.54/1.67  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.54/1.67  
% 7.54/1.67  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 5 0s  sf_e  pe_s  pe_e 
% 7.54/1.67  
% 7.54/1.67  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.54/1.67  
% 7.54/1.67  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.54/1.67  ------ Proving...
% 7.54/1.67  ------ Problem Properties 
% 7.54/1.67  
% 7.54/1.67  
% 7.54/1.67  clauses                                 30
% 7.54/1.67  conjectures                             6
% 7.54/1.67  EPR                                     7
% 7.54/1.67  Horn                                    20
% 7.54/1.67  unary                                   8
% 7.54/1.67  binary                                  15
% 7.54/1.67  lits                                    68
% 7.54/1.67  lits eq                                 12
% 7.54/1.67  fd_pure                                 0
% 7.54/1.67  fd_pseudo                               0
% 7.54/1.67  fd_cond                                 0
% 7.54/1.67  fd_pseudo_cond                          0
% 7.54/1.67  AC symbols                              0
% 7.54/1.67  
% 7.54/1.67  ------ Schedule dynamic 5 is on 
% 7.54/1.67  
% 7.54/1.67  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.54/1.67  
% 7.54/1.67  
% 7.54/1.67  ------ 
% 7.54/1.67  Current options:
% 7.54/1.67  ------ 
% 7.54/1.67  
% 7.54/1.67  
% 7.54/1.67  
% 7.54/1.67  
% 7.54/1.67  ------ Proving...
% 7.54/1.67  
% 7.54/1.67  
% 7.54/1.67  % SZS status Theorem for theBenchmark.p
% 7.54/1.67  
% 7.54/1.67  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.54/1.67  
% 7.54/1.67  
%------------------------------------------------------------------------------