TSTP Solution File: NUM600+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM600+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:50:07 EDT 2024

% Result   : Theorem 35.40s 5.70s
% Output   : CNFRefutation 35.40s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

fof(f66,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aFunction0(X0) )
     => ! [X2] :
          ( sdtlbdtrb0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( sdtlpdtrp0(X0,X3) = X1
                  & aElementOf0(X3,szDzozmdt0(X0)) ) )
            & aSet0(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPtt) ).

fof(f67,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aFunction0(X0) )
     => aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPttSet) ).

fof(f68,axiom,
    ! [X0] :
      ( aFunction0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,szDzozmdt0(X0))
         => ! [X2] :
              ( sdtlcdtrc0(X0,X1) = X2
            <=> ( ! [X3] :
                    ( aElementOf0(X3,X2)
                  <=> ? [X4] :
                        ( sdtlpdtrp0(X0,X4) = X3
                        & aElementOf0(X4,X1) ) )
                & aSet0(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSImg) ).

fof(f73,axiom,
    ( isFinite0(xT)
    & aSet0(xT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).

fof(f91,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) )
    & szNzAzT0 = szDzozmdt0(xe)
    & aFunction0(xe) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).

fof(f92,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ! [X1] :
            ( ( aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
              & aSet0(X1) )
           => sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ) )
    & szNzAzT0 = szDzozmdt0(xd)
    & aFunction0(xd) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).

fof(f94,axiom,
    ( isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aElementOf0(szDzizrdt0(xd),xT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4854) ).

fof(f95,axiom,
    ( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aSet0(xO) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).

fof(f97,conjecture,
    ! [X0] :
      ( aElementOf0(X0,xO)
     => ? [X1] :
          ( sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & aElementOf0(X1,szNzAzT0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f98,negated_conjecture,
    ~ ! [X0] :
        ( aElementOf0(X0,xO)
       => ? [X1] :
            ( sdtlpdtrp0(xe,X1) = X0
            & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
            & aElementOf0(X1,szNzAzT0) ) ),
    inference(negated_conjecture,[],[f97]) ).

fof(f106,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtlbdtrb0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( sdtlpdtrp0(X0,X3) = X1
                  & aElementOf0(X3,szDzozmdt0(X0)) ) )
            & aSet0(X2) ) )
      | ~ aElement0(X1)
      | ~ aFunction0(X0) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtlbdtrb0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( sdtlpdtrp0(X0,X3) = X1
                  & aElementOf0(X3,szDzozmdt0(X0)) ) )
            & aSet0(X2) ) )
      | ~ aElement0(X1)
      | ~ aFunction0(X0) ),
    inference(flattening,[],[f194]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
      | ~ aElement0(X1)
      | ~ aFunction0(X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
      | ~ aElement0(X1)
      | ~ aFunction0(X0) ),
    inference(flattening,[],[f196]) ).

fof(f198,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( sdtlcdtrc0(X0,X1) = X2
            <=> ( ! [X3] :
                    ( aElementOf0(X3,X2)
                  <=> ? [X4] :
                        ( sdtlpdtrp0(X0,X4) = X3
                        & aElementOf0(X4,X1) ) )
                & aSet0(X2) ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f225,plain,
    ( ! [X0] :
        ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xe)
    & aFunction0(xe) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f226,plain,
    ( ! [X0] :
        ( ! [X1] :
            ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
            | ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
            | ~ aSet0(X1) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xd)
    & aFunction0(xd) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f227,plain,
    ( ! [X0] :
        ( ! [X1] :
            ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
            | ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
            | ~ aSet0(X1) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xd)
    & aFunction0(xd) ),
    inference(flattening,[],[f226]) ).

fof(f228,plain,
    ? [X0] :
      ( ! [X1] :
          ( sdtlpdtrp0(xe,X1) != X0
          | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          | ~ aElementOf0(X1,szNzAzT0) )
      & aElementOf0(X0,xO) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f291,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtlbdtrb0(X0,X1) = X2
            | ? [X3] :
                ( ( sdtlpdtrp0(X0,X3) != X1
                  | ~ aElementOf0(X3,szDzozmdt0(X0))
                  | ~ aElementOf0(X3,X2) )
                & ( ( sdtlpdtrp0(X0,X3) = X1
                    & aElementOf0(X3,szDzozmdt0(X0)) )
                  | aElementOf0(X3,X2) ) )
            | ~ aSet0(X2) )
          & ( ( ! [X3] :
                  ( ( aElementOf0(X3,X2)
                    | sdtlpdtrp0(X0,X3) != X1
                    | ~ aElementOf0(X3,szDzozmdt0(X0)) )
                  & ( ( sdtlpdtrp0(X0,X3) = X1
                      & aElementOf0(X3,szDzozmdt0(X0)) )
                    | ~ aElementOf0(X3,X2) ) )
              & aSet0(X2) )
            | sdtlbdtrb0(X0,X1) != X2 ) )
      | ~ aElement0(X1)
      | ~ aFunction0(X0) ),
    inference(nnf_transformation,[],[f195]) ).

fof(f292,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtlbdtrb0(X0,X1) = X2
            | ? [X3] :
                ( ( sdtlpdtrp0(X0,X3) != X1
                  | ~ aElementOf0(X3,szDzozmdt0(X0))
                  | ~ aElementOf0(X3,X2) )
                & ( ( sdtlpdtrp0(X0,X3) = X1
                    & aElementOf0(X3,szDzozmdt0(X0)) )
                  | aElementOf0(X3,X2) ) )
            | ~ aSet0(X2) )
          & ( ( ! [X3] :
                  ( ( aElementOf0(X3,X2)
                    | sdtlpdtrp0(X0,X3) != X1
                    | ~ aElementOf0(X3,szDzozmdt0(X0)) )
                  & ( ( sdtlpdtrp0(X0,X3) = X1
                      & aElementOf0(X3,szDzozmdt0(X0)) )
                    | ~ aElementOf0(X3,X2) ) )
              & aSet0(X2) )
            | sdtlbdtrb0(X0,X1) != X2 ) )
      | ~ aElement0(X1)
      | ~ aFunction0(X0) ),
    inference(flattening,[],[f291]) ).

fof(f293,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtlbdtrb0(X0,X1) = X2
            | ? [X3] :
                ( ( sdtlpdtrp0(X0,X3) != X1
                  | ~ aElementOf0(X3,szDzozmdt0(X0))
                  | ~ aElementOf0(X3,X2) )
                & ( ( sdtlpdtrp0(X0,X3) = X1
                    & aElementOf0(X3,szDzozmdt0(X0)) )
                  | aElementOf0(X3,X2) ) )
            | ~ aSet0(X2) )
          & ( ( ! [X4] :
                  ( ( aElementOf0(X4,X2)
                    | sdtlpdtrp0(X0,X4) != X1
                    | ~ aElementOf0(X4,szDzozmdt0(X0)) )
                  & ( ( sdtlpdtrp0(X0,X4) = X1
                      & aElementOf0(X4,szDzozmdt0(X0)) )
                    | ~ aElementOf0(X4,X2) ) )
              & aSet0(X2) )
            | sdtlbdtrb0(X0,X1) != X2 ) )
      | ~ aElement0(X1)
      | ~ aFunction0(X0) ),
    inference(rectify,[],[f292]) ).

fof(f294,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( sdtlpdtrp0(X0,X3) != X1
            | ~ aElementOf0(X3,szDzozmdt0(X0))
            | ~ aElementOf0(X3,X2) )
          & ( ( sdtlpdtrp0(X0,X3) = X1
              & aElementOf0(X3,szDzozmdt0(X0)) )
            | aElementOf0(X3,X2) ) )
     => ( ( sdtlpdtrp0(X0,sK16(X0,X1,X2)) != X1
          | ~ aElementOf0(sK16(X0,X1,X2),szDzozmdt0(X0))
          | ~ aElementOf0(sK16(X0,X1,X2),X2) )
        & ( ( sdtlpdtrp0(X0,sK16(X0,X1,X2)) = X1
            & aElementOf0(sK16(X0,X1,X2),szDzozmdt0(X0)) )
          | aElementOf0(sK16(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f295,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtlbdtrb0(X0,X1) = X2
            | ( ( sdtlpdtrp0(X0,sK16(X0,X1,X2)) != X1
                | ~ aElementOf0(sK16(X0,X1,X2),szDzozmdt0(X0))
                | ~ aElementOf0(sK16(X0,X1,X2),X2) )
              & ( ( sdtlpdtrp0(X0,sK16(X0,X1,X2)) = X1
                  & aElementOf0(sK16(X0,X1,X2),szDzozmdt0(X0)) )
                | aElementOf0(sK16(X0,X1,X2),X2) ) )
            | ~ aSet0(X2) )
          & ( ( ! [X4] :
                  ( ( aElementOf0(X4,X2)
                    | sdtlpdtrp0(X0,X4) != X1
                    | ~ aElementOf0(X4,szDzozmdt0(X0)) )
                  & ( ( sdtlpdtrp0(X0,X4) = X1
                      & aElementOf0(X4,szDzozmdt0(X0)) )
                    | ~ aElementOf0(X4,X2) ) )
              & aSet0(X2) )
            | sdtlbdtrb0(X0,X1) != X2 ) )
      | ~ aElement0(X1)
      | ~ aFunction0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f293,f294]) ).

fof(f296,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( sdtlcdtrc0(X0,X1) = X2
                | ? [X3] :
                    ( ( ! [X4] :
                          ( sdtlpdtrp0(X0,X4) != X3
                          | ~ aElementOf0(X4,X1) )
                      | ~ aElementOf0(X3,X2) )
                    & ( ? [X4] :
                          ( sdtlpdtrp0(X0,X4) = X3
                          & aElementOf0(X4,X1) )
                      | aElementOf0(X3,X2) ) )
                | ~ aSet0(X2) )
              & ( ( ! [X3] :
                      ( ( aElementOf0(X3,X2)
                        | ! [X4] :
                            ( sdtlpdtrp0(X0,X4) != X3
                            | ~ aElementOf0(X4,X1) ) )
                      & ( ? [X4] :
                            ( sdtlpdtrp0(X0,X4) = X3
                            & aElementOf0(X4,X1) )
                        | ~ aElementOf0(X3,X2) ) )
                  & aSet0(X2) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(nnf_transformation,[],[f198]) ).

fof(f297,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( sdtlcdtrc0(X0,X1) = X2
                | ? [X3] :
                    ( ( ! [X4] :
                          ( sdtlpdtrp0(X0,X4) != X3
                          | ~ aElementOf0(X4,X1) )
                      | ~ aElementOf0(X3,X2) )
                    & ( ? [X4] :
                          ( sdtlpdtrp0(X0,X4) = X3
                          & aElementOf0(X4,X1) )
                      | aElementOf0(X3,X2) ) )
                | ~ aSet0(X2) )
              & ( ( ! [X3] :
                      ( ( aElementOf0(X3,X2)
                        | ! [X4] :
                            ( sdtlpdtrp0(X0,X4) != X3
                            | ~ aElementOf0(X4,X1) ) )
                      & ( ? [X4] :
                            ( sdtlpdtrp0(X0,X4) = X3
                            & aElementOf0(X4,X1) )
                        | ~ aElementOf0(X3,X2) ) )
                  & aSet0(X2) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(flattening,[],[f296]) ).

fof(f298,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( sdtlcdtrc0(X0,X1) = X2
                | ? [X3] :
                    ( ( ! [X4] :
                          ( sdtlpdtrp0(X0,X4) != X3
                          | ~ aElementOf0(X4,X1) )
                      | ~ aElementOf0(X3,X2) )
                    & ( ? [X5] :
                          ( sdtlpdtrp0(X0,X5) = X3
                          & aElementOf0(X5,X1) )
                      | aElementOf0(X3,X2) ) )
                | ~ aSet0(X2) )
              & ( ( ! [X6] :
                      ( ( aElementOf0(X6,X2)
                        | ! [X7] :
                            ( sdtlpdtrp0(X0,X7) != X6
                            | ~ aElementOf0(X7,X1) ) )
                      & ( ? [X8] :
                            ( sdtlpdtrp0(X0,X8) = X6
                            & aElementOf0(X8,X1) )
                        | ~ aElementOf0(X6,X2) ) )
                  & aSet0(X2) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(rectify,[],[f297]) ).

fof(f299,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4] :
                ( sdtlpdtrp0(X0,X4) != X3
                | ~ aElementOf0(X4,X1) )
            | ~ aElementOf0(X3,X2) )
          & ( ? [X5] :
                ( sdtlpdtrp0(X0,X5) = X3
                & aElementOf0(X5,X1) )
            | aElementOf0(X3,X2) ) )
     => ( ( ! [X4] :
              ( sdtlpdtrp0(X0,X4) != sK17(X0,X1,X2)
              | ~ aElementOf0(X4,X1) )
          | ~ aElementOf0(sK17(X0,X1,X2),X2) )
        & ( ? [X5] :
              ( sdtlpdtrp0(X0,X5) = sK17(X0,X1,X2)
              & aElementOf0(X5,X1) )
          | aElementOf0(sK17(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f300,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( sdtlpdtrp0(X0,X5) = sK17(X0,X1,X2)
          & aElementOf0(X5,X1) )
     => ( sK17(X0,X1,X2) = sdtlpdtrp0(X0,sK18(X0,X1,X2))
        & aElementOf0(sK18(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f301,plain,
    ! [X0,X1,X6] :
      ( ? [X8] :
          ( sdtlpdtrp0(X0,X8) = X6
          & aElementOf0(X8,X1) )
     => ( sdtlpdtrp0(X0,sK19(X0,X1,X6)) = X6
        & aElementOf0(sK19(X0,X1,X6),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f302,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( sdtlcdtrc0(X0,X1) = X2
                | ( ( ! [X4] :
                        ( sdtlpdtrp0(X0,X4) != sK17(X0,X1,X2)
                        | ~ aElementOf0(X4,X1) )
                    | ~ aElementOf0(sK17(X0,X1,X2),X2) )
                  & ( ( sK17(X0,X1,X2) = sdtlpdtrp0(X0,sK18(X0,X1,X2))
                      & aElementOf0(sK18(X0,X1,X2),X1) )
                    | aElementOf0(sK17(X0,X1,X2),X2) ) )
                | ~ aSet0(X2) )
              & ( ( ! [X6] :
                      ( ( aElementOf0(X6,X2)
                        | ! [X7] :
                            ( sdtlpdtrp0(X0,X7) != X6
                            | ~ aElementOf0(X7,X1) ) )
                      & ( ( sdtlpdtrp0(X0,sK19(X0,X1,X6)) = X6
                          & aElementOf0(sK19(X0,X1,X6),X1) )
                        | ~ aElementOf0(X6,X2) ) )
                  & aSet0(X2) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f298,f301,f300,f299]) ).

fof(f318,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( sdtlpdtrp0(xe,X1) != X0
            | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
            | ~ aElementOf0(X1,szNzAzT0) )
        & aElementOf0(X0,xO) )
   => ( ! [X1] :
          ( sdtlpdtrp0(xe,X1) != sK28
          | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          | ~ aElementOf0(X1,szNzAzT0) )
      & aElementOf0(sK28,xO) ) ),
    introduced(choice_axiom,[]) ).

fof(f319,plain,
    ( ! [X1] :
        ( sdtlpdtrp0(xe,X1) != sK28
        | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | ~ aElementOf0(X1,szNzAzT0) )
    & aElementOf0(sK28,xO) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f228,f318]) ).

fof(f320,plain,
    ! [X0,X1] :
      ( aElement0(X1)
      | ~ aElementOf0(X1,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f437,plain,
    ! [X2,X0,X1,X4] :
      ( aElementOf0(X4,szDzozmdt0(X0))
      | ~ aElementOf0(X4,X2)
      | sdtlbdtrb0(X0,X1) != X2
      | ~ aElement0(X1)
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f295]) ).

fof(f443,plain,
    ! [X0,X1] :
      ( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
      | ~ aElement0(X1)
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f445,plain,
    ! [X2,X0,X1,X6] :
      ( aElementOf0(sK19(X0,X1,X6),X1)
      | ~ aElementOf0(X6,X2)
      | sdtlcdtrc0(X0,X1) != X2
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f446,plain,
    ! [X2,X0,X1,X6] :
      ( sdtlpdtrp0(X0,sK19(X0,X1,X6)) = X6
      | ~ aElementOf0(X6,X2)
      | sdtlcdtrc0(X0,X1) != X2
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f463,plain,
    aSet0(xT),
    inference(cnf_transformation,[],[f73]) ).

fof(f502,plain,
    aFunction0(xe),
    inference(cnf_transformation,[],[f225]) ).

fof(f503,plain,
    szNzAzT0 = szDzozmdt0(xe),
    inference(cnf_transformation,[],[f225]) ).

fof(f505,plain,
    aFunction0(xd),
    inference(cnf_transformation,[],[f227]) ).

fof(f506,plain,
    szNzAzT0 = szDzozmdt0(xd),
    inference(cnf_transformation,[],[f227]) ).

fof(f509,plain,
    aElementOf0(szDzizrdt0(xd),xT),
    inference(cnf_transformation,[],[f94]) ).

fof(f512,plain,
    xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(cnf_transformation,[],[f95]) ).

fof(f515,plain,
    aElementOf0(sK28,xO),
    inference(cnf_transformation,[],[f319]) ).

fof(f516,plain,
    ! [X1] :
      ( sdtlpdtrp0(xe,X1) != sK28
      | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cnf_transformation,[],[f319]) ).

fof(f542,plain,
    ! [X0,X1,X4] :
      ( aElementOf0(X4,szDzozmdt0(X0))
      | ~ aElementOf0(X4,sdtlbdtrb0(X0,X1))
      | ~ aElement0(X1)
      | ~ aFunction0(X0) ),
    inference(equality_resolution,[],[f437]) ).

fof(f546,plain,
    ! [X0,X1,X6] :
      ( sdtlpdtrp0(X0,sK19(X0,X1,X6)) = X6
      | ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(equality_resolution,[],[f446]) ).

fof(f547,plain,
    ! [X0,X1,X6] :
      ( aElementOf0(sK19(X0,X1,X6),X1)
      | ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(equality_resolution,[],[f445]) ).

cnf(c_49,plain,
    ( ~ aElementOf0(X0,X1)
    | ~ aSet0(X1)
    | aElement0(X0) ),
    inference(cnf_transformation,[],[f320]) ).

cnf(c_170,plain,
    ( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
    | ~ aElement0(X2)
    | ~ aFunction0(X1)
    | aElementOf0(X0,szDzozmdt0(X1)) ),
    inference(cnf_transformation,[],[f542]) ).

cnf(c_172,plain,
    ( ~ aElement0(X0)
    | ~ aFunction0(X1)
    | aSubsetOf0(sdtlbdtrb0(X1,X0),szDzozmdt0(X1)) ),
    inference(cnf_transformation,[],[f443]) ).

cnf(c_177,plain,
    ( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
    | ~ aSubsetOf0(X2,szDzozmdt0(X1))
    | ~ aFunction0(X1)
    | sdtlpdtrp0(X1,sK19(X1,X2,X0)) = X0 ),
    inference(cnf_transformation,[],[f546]) ).

cnf(c_178,plain,
    ( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
    | ~ aSubsetOf0(X2,szDzozmdt0(X1))
    | ~ aFunction0(X1)
    | aElementOf0(sK19(X1,X2,X0),X2) ),
    inference(cnf_transformation,[],[f547]) ).

cnf(c_193,plain,
    aSet0(xT),
    inference(cnf_transformation,[],[f463]) ).

cnf(c_232,plain,
    szDzozmdt0(xe) = szNzAzT0,
    inference(cnf_transformation,[],[f503]) ).

cnf(c_233,plain,
    aFunction0(xe),
    inference(cnf_transformation,[],[f502]) ).

cnf(c_235,plain,
    szDzozmdt0(xd) = szNzAzT0,
    inference(cnf_transformation,[],[f506]) ).

cnf(c_236,plain,
    aFunction0(xd),
    inference(cnf_transformation,[],[f505]) ).

cnf(c_239,plain,
    aElementOf0(szDzizrdt0(xd),xT),
    inference(cnf_transformation,[],[f509]) ).

cnf(c_240,plain,
    sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) = xO,
    inference(cnf_transformation,[],[f512]) ).

cnf(c_244,negated_conjecture,
    ( sdtlpdtrp0(xe,X0) != sK28
    | ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f516]) ).

cnf(c_245,negated_conjecture,
    aElementOf0(sK28,xO),
    inference(cnf_transformation,[],[f515]) ).

cnf(c_15157,plain,
    szDzizrdt0(xd) = sP0_iProver_def,
    definition ).

cnf(c_15158,plain,
    sdtlbdtrb0(xd,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_15159,negated_conjecture,
    aElementOf0(sK28,xO),
    inference(demodulation,[status(thm)],[c_245]) ).

cnf(c_15160,negated_conjecture,
    ( sdtlpdtrp0(xe,X0) != sK28
    | ~ aElementOf0(X0,szNzAzT0)
    | ~ aElementOf0(X0,sP1_iProver_def) ),
    inference(demodulation,[status(thm)],[c_244,c_15157,c_15158]) ).

cnf(c_18086,plain,
    aElementOf0(sP0_iProver_def,xT),
    inference(light_normalisation,[status(thm)],[c_239,c_15157]) ).

cnf(c_18248,plain,
    ( ~ aSet0(xT)
    | aElement0(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_18086,c_49]) ).

cnf(c_18249,plain,
    aElement0(sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_18248,c_193]) ).

cnf(c_18270,plain,
    sdtlcdtrc0(xe,sP1_iProver_def) = xO,
    inference(light_normalisation,[status(thm)],[c_240,c_15157,c_15158]) ).

cnf(c_19324,plain,
    ( ~ aElement0(sP0_iProver_def)
    | ~ aFunction0(xd)
    | aSubsetOf0(sP1_iProver_def,szDzozmdt0(xd)) ),
    inference(superposition,[status(thm)],[c_15158,c_172]) ).

cnf(c_19331,plain,
    ( ~ aElement0(sP0_iProver_def)
    | ~ aFunction0(xd)
    | aSubsetOf0(sP1_iProver_def,szNzAzT0) ),
    inference(light_normalisation,[status(thm)],[c_19324,c_235]) ).

cnf(c_19332,plain,
    aSubsetOf0(sP1_iProver_def,szNzAzT0),
    inference(forward_subsumption_resolution,[status(thm)],[c_19331,c_236,c_18249]) ).

cnf(c_21761,plain,
    ( ~ aElementOf0(X0,sP1_iProver_def)
    | ~ aElement0(sP0_iProver_def)
    | ~ aFunction0(xd)
    | aElementOf0(X0,szDzozmdt0(xd)) ),
    inference(superposition,[status(thm)],[c_15158,c_170]) ).

cnf(c_21764,plain,
    ( ~ aElementOf0(X0,sP1_iProver_def)
    | ~ aElement0(sP0_iProver_def)
    | ~ aFunction0(xd)
    | aElementOf0(X0,szNzAzT0) ),
    inference(light_normalisation,[status(thm)],[c_21761,c_235]) ).

cnf(c_21765,plain,
    ( ~ aElementOf0(X0,sP1_iProver_def)
    | aElementOf0(X0,szNzAzT0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21764,c_236,c_18249]) ).

cnf(c_21805,plain,
    ( sdtlpdtrp0(xe,X0) != sK28
    | ~ aElementOf0(X0,sP1_iProver_def) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_15160,c_21765]) ).

cnf(c_29926,plain,
    ( ~ aSubsetOf0(sP1_iProver_def,szDzozmdt0(xe))
    | ~ aElementOf0(X0,xO)
    | ~ aFunction0(xe)
    | sdtlpdtrp0(xe,sK19(xe,sP1_iProver_def,X0)) = X0 ),
    inference(superposition,[status(thm)],[c_18270,c_177]) ).

cnf(c_29935,plain,
    ( ~ aElementOf0(X0,xO)
    | ~ aSubsetOf0(sP1_iProver_def,szNzAzT0)
    | ~ aFunction0(xe)
    | sdtlpdtrp0(xe,sK19(xe,sP1_iProver_def,X0)) = X0 ),
    inference(light_normalisation,[status(thm)],[c_29926,c_232]) ).

cnf(c_29936,plain,
    ( ~ aElementOf0(X0,xO)
    | sdtlpdtrp0(xe,sK19(xe,sP1_iProver_def,X0)) = X0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_29935,c_233,c_19332]) ).

cnf(c_159606,plain,
    sdtlpdtrp0(xe,sK19(xe,sP1_iProver_def,sK28)) = sK28,
    inference(superposition,[status(thm)],[c_15159,c_29936]) ).

cnf(c_160166,plain,
    ~ aElementOf0(sK19(xe,sP1_iProver_def,sK28),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_159606,c_21805]) ).

cnf(c_160301,plain,
    ( ~ aElementOf0(sK28,sdtlcdtrc0(xe,sP1_iProver_def))
    | ~ aSubsetOf0(sP1_iProver_def,szDzozmdt0(xe))
    | ~ aFunction0(xe) ),
    inference(superposition,[status(thm)],[c_178,c_160166]) ).

cnf(c_160302,plain,
    ( ~ aElementOf0(sK28,xO)
    | ~ aSubsetOf0(sP1_iProver_def,szNzAzT0)
    | ~ aFunction0(xe) ),
    inference(light_normalisation,[status(thm)],[c_160301,c_232,c_18270]) ).

cnf(c_160303,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_160302,c_233,c_19332,c_15159]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM600+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 19:34:33 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  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
% 35.40/5.70  % SZS status Started for theBenchmark.p
% 35.40/5.70  % SZS status Theorem for theBenchmark.p
% 35.40/5.70  
% 35.40/5.70  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 35.40/5.70  
% 35.40/5.70  ------  iProver source info
% 35.40/5.70  
% 35.40/5.70  git: date: 2024-05-02 19:28:25 +0000
% 35.40/5.70  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 35.40/5.70  git: non_committed_changes: false
% 35.40/5.70  
% 35.40/5.70  ------ Parsing...
% 35.40/5.70  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 35.40/5.70  
% 35.40/5.70  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 35.40/5.70  
% 35.40/5.70  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 35.40/5.70  
% 35.40/5.70  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 35.40/5.70  ------ Proving...
% 35.40/5.70  ------ Problem Properties 
% 35.40/5.70  
% 35.40/5.70  
% 35.40/5.70  clauses                                 194
% 35.40/5.70  conjectures                             2
% 35.40/5.70  EPR                                     44
% 35.40/5.70  Horn                                    155
% 35.40/5.70  unary                                   38
% 35.40/5.70  binary                                  29
% 35.40/5.70  lits                                    648
% 35.40/5.70  lits eq                                 105
% 35.40/5.70  fd_pure                                 0
% 35.40/5.70  fd_pseudo                               0
% 35.40/5.70  fd_cond                                 10
% 35.40/5.70  fd_pseudo_cond                          25
% 35.40/5.70  AC symbols                              0
% 35.40/5.70  
% 35.40/5.70  ------ Schedule dynamic 5 is on 
% 35.40/5.70  
% 35.40/5.70  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 35.40/5.70  
% 35.40/5.70  
% 35.40/5.70  ------ 
% 35.40/5.70  Current options:
% 35.40/5.70  ------ 
% 35.40/5.70  
% 35.40/5.70  
% 35.40/5.70  
% 35.40/5.70  
% 35.40/5.70  ------ Proving...
% 35.40/5.70  
% 35.40/5.70  
% 35.40/5.70  % SZS status Theorem for theBenchmark.p
% 35.40/5.70  
% 35.40/5.70  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 35.40/5.70  
% 35.40/5.70  
%------------------------------------------------------------------------------