TSTP Solution File: NUM586+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM586+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 02:50:03 EDT 2024

% Result   : Theorem 13.68s 2.72s
% Output   : CNFRefutation 13.68s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ! [X0] :
      ( aSet0(X0)
     => aSubsetOf0(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).

fof(f64,axiom,
    ! [X0] :
      ( aFunction0(X0)
     => aSet0(szDzozmdt0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).

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/sandbox2/benchmark/theBenchmark.p',mDefSImg) ).

fof(f86,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( ! [X1] :
              ( ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
                & aSet0(X1) )
             => sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
          & slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
          & aFunction0(sdtlpdtrp0(xC,X0)) ) )
    & szNzAzT0 = szDzozmdt0(xC)
    & aFunction0(xC) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4151) ).

fof(f87,axiom,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4200) ).

fof(f88,axiom,
    aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4200_02) ).

fof(f89,conjecture,
    ? [X0] :
      ( xx = sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)
      & aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f90,negated_conjecture,
    ~ ? [X0] :
        ( xx = sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)
        & aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
    inference(negated_conjecture,[],[f89]) ).

fof(f107,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f184,plain,
    ! [X0] :
      ( aSet0(szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f190,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(f208,plain,
    ( ! [X0] :
        ( ( ! [X1] :
              ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
              | ~ aSet0(X1) )
          & slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
          & aFunction0(sdtlpdtrp0(xC,X0)) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xC)
    & aFunction0(xC) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f209,plain,
    ( ! [X0] :
        ( ( ! [X1] :
              ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
              | ~ aSet0(X1) )
          & slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
          & aFunction0(sdtlpdtrp0(xC,X0)) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xC)
    & aFunction0(xC) ),
    inference(flattening,[],[f208]) ).

fof(f210,plain,
    ! [X0] :
      ( xx != sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)
      | ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f278,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,[],[f190]) ).

fof(f279,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,[],[f278]) ).

fof(f280,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,[],[f279]) ).

fof(f281,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(f282,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(f283,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(f284,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])],[f280,f283,f282,f281]) ).

fof(f307,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f409,plain,
    ! [X0] :
      ( aSet0(szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f420,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,[],[f284]) ).

fof(f421,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,[],[f284]) ).

fof(f466,plain,
    ! [X0] :
      ( aFunction0(sdtlpdtrp0(xC,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f467,plain,
    ! [X0] :
      ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f469,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f87]) ).

fof(f470,plain,
    aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
    inference(cnf_transformation,[],[f88]) ).

fof(f471,plain,
    ! [X0] :
      ( xx != sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)
      | ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f501,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,[],[f421]) ).

fof(f502,plain,
    ! [X0,X1,X6] :
      ( aElementOf0(sK19(X0,X1,X6),X1)
      | ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(equality_resolution,[],[f420]) ).

cnf(c_61,plain,
    ( ~ aSet0(X0)
    | aSubsetOf0(X0,X0) ),
    inference(cnf_transformation,[],[f307]) ).

cnf(c_163,plain,
    ( ~ aFunction0(X0)
    | aSet0(szDzozmdt0(X0)) ),
    inference(cnf_transformation,[],[f409]) ).

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,[],[f501]) ).

cnf(c_178,plain,
    ( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
    | ~ aSubsetOf0(X2,szDzozmdt0(X1))
    | ~ aFunction0(X1)
    | aElementOf0(sK19(X1,X2,X0),X2) ),
    inference(cnf_transformation,[],[f502]) ).

cnf(c_219,plain,
    ( ~ aElementOf0(X0,szNzAzT0)
    | slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0)) ),
    inference(cnf_transformation,[],[f467]) ).

cnf(c_220,plain,
    ( ~ aElementOf0(X0,szNzAzT0)
    | aFunction0(sdtlpdtrp0(xC,X0)) ),
    inference(cnf_transformation,[],[f466]) ).

cnf(c_223,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f469]) ).

cnf(c_224,plain,
    aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
    inference(cnf_transformation,[],[f470]) ).

cnf(c_225,negated_conjecture,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) != xx
    | ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
    inference(cnf_transformation,[],[f471]) ).

cnf(c_14840,plain,
    sdtlpdtrp0(xC,xi) = sP0_iProver_def,
    definition ).

cnf(c_14841,plain,
    sdtlpdtrp0(xN,xi) = sP1_iProver_def,
    definition ).

cnf(c_14842,plain,
    szmzizndt0(sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_14843,plain,
    sdtmndt0(sP1_iProver_def,sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_14844,plain,
    slbdtsldtrb0(sP3_iProver_def,xk) = sP4_iProver_def,
    definition ).

cnf(c_14845,negated_conjecture,
    ( sdtlpdtrp0(sP0_iProver_def,X0) != xx
    | ~ aElementOf0(X0,sP4_iProver_def) ),
    inference(demodulation,[status(thm)],[c_225,c_14842,c_14841,c_14843,c_14844,c_14840]) ).

cnf(c_17719,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | aFunction0(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_14840,c_220]) ).

cnf(c_17720,plain,
    aFunction0(sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_17719,c_223]) ).

cnf(c_17996,plain,
    aElementOf0(xx,sdtlcdtrc0(sP0_iProver_def,szDzozmdt0(sP0_iProver_def))),
    inference(light_normalisation,[status(thm)],[c_224,c_14840]) ).

cnf(c_26805,plain,
    slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk) = szDzozmdt0(sdtlpdtrp0(xC,xi)),
    inference(superposition,[status(thm)],[c_223,c_219]) ).

cnf(c_26808,plain,
    szDzozmdt0(sP0_iProver_def) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_26805,c_14840,c_14841,c_14842,c_14843,c_14844]) ).

cnf(c_26852,plain,
    aElementOf0(xx,sdtlcdtrc0(sP0_iProver_def,sP4_iProver_def)),
    inference(demodulation,[status(thm)],[c_17996,c_26808]) ).

cnf(c_27210,plain,
    ( ~ aFunction0(sP0_iProver_def)
    | aSet0(sP4_iProver_def) ),
    inference(superposition,[status(thm)],[c_26808,c_163]) ).

cnf(c_27211,plain,
    aSet0(sP4_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_27210,c_17720]) ).

cnf(c_30767,plain,
    ( ~ aSubsetOf0(sP4_iProver_def,szDzozmdt0(sP0_iProver_def))
    | ~ aFunction0(sP0_iProver_def)
    | sdtlpdtrp0(sP0_iProver_def,sK19(sP0_iProver_def,sP4_iProver_def,xx)) = xx ),
    inference(superposition,[status(thm)],[c_26852,c_177]) ).

cnf(c_30768,plain,
    ( ~ aSubsetOf0(sP4_iProver_def,sP4_iProver_def)
    | ~ aFunction0(sP0_iProver_def)
    | sdtlpdtrp0(sP0_iProver_def,sK19(sP0_iProver_def,sP4_iProver_def,xx)) = xx ),
    inference(light_normalisation,[status(thm)],[c_30767,c_26808]) ).

cnf(c_30769,plain,
    ( ~ aSubsetOf0(sP4_iProver_def,sP4_iProver_def)
    | sdtlpdtrp0(sP0_iProver_def,sK19(sP0_iProver_def,sP4_iProver_def,xx)) = xx ),
    inference(forward_subsumption_resolution,[status(thm)],[c_30768,c_17720]) ).

cnf(c_48491,plain,
    ( ~ aSet0(sP4_iProver_def)
    | sdtlpdtrp0(sP0_iProver_def,sK19(sP0_iProver_def,sP4_iProver_def,xx)) = xx ),
    inference(superposition,[status(thm)],[c_61,c_30769]) ).

cnf(c_48492,plain,
    sdtlpdtrp0(sP0_iProver_def,sK19(sP0_iProver_def,sP4_iProver_def,xx)) = xx,
    inference(forward_subsumption_resolution,[status(thm)],[c_48491,c_27211]) ).

cnf(c_48499,plain,
    ~ aElementOf0(sK19(sP0_iProver_def,sP4_iProver_def,xx),sP4_iProver_def),
    inference(superposition,[status(thm)],[c_48492,c_14845]) ).

cnf(c_48520,plain,
    ( ~ aElementOf0(xx,sdtlcdtrc0(sP0_iProver_def,sP4_iProver_def))
    | ~ aSubsetOf0(sP4_iProver_def,szDzozmdt0(sP0_iProver_def))
    | ~ aFunction0(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_178,c_48499]) ).

cnf(c_48521,plain,
    ( ~ aElementOf0(xx,sdtlcdtrc0(sP0_iProver_def,sP4_iProver_def))
    | ~ aSubsetOf0(sP4_iProver_def,sP4_iProver_def)
    | ~ aFunction0(sP0_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_48520,c_26808]) ).

cnf(c_48522,plain,
    ~ aSubsetOf0(sP4_iProver_def,sP4_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_48521,c_17720,c_26852]) ).

cnf(c_48550,plain,
    ~ aSet0(sP4_iProver_def),
    inference(superposition,[status(thm)],[c_61,c_48522]) ).

cnf(c_48551,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_48550,c_27211]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15  % Problem  : NUM586+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.16  % Command  : run_iprover %s %d THM
% 0.16/0.38  % Computer : n025.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit : 300
% 0.16/0.38  % WCLimit  : 300
% 0.16/0.38  % DateTime : Thu May  2 19:59:58 EDT 2024
% 0.16/0.38  % CPUTime  : 
% 0.23/0.52  Running first-order theorem proving
% 0.23/0.52  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 13.68/2.72  % SZS status Started for theBenchmark.p
% 13.68/2.72  % SZS status Theorem for theBenchmark.p
% 13.68/2.72  
% 13.68/2.72  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 13.68/2.72  
% 13.68/2.72  ------  iProver source info
% 13.68/2.72  
% 13.68/2.72  git: date: 2024-05-02 19:28:25 +0000
% 13.68/2.72  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 13.68/2.72  git: non_committed_changes: false
% 13.68/2.72  
% 13.68/2.72  ------ Parsing...
% 13.68/2.72  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 13.68/2.72  
% 13.68/2.72  ------ Preprocessing... sup_sim: 1  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 
% 13.68/2.72  
% 13.68/2.72  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 13.68/2.72  
% 13.68/2.72  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 13.68/2.72  ------ Proving...
% 13.68/2.72  ------ Problem Properties 
% 13.68/2.72  
% 13.68/2.72  
% 13.68/2.72  clauses                                 178
% 13.68/2.72  conjectures                             1
% 13.68/2.72  EPR                                     40
% 13.68/2.72  Horn                                    139
% 13.68/2.72  unary                                   32
% 13.68/2.72  binary                                  24
% 13.68/2.72  lits                                    611
% 13.68/2.72  lits eq                                 101
% 13.68/2.72  fd_pure                                 0
% 13.68/2.72  fd_pseudo                               0
% 13.68/2.72  fd_cond                                 10
% 13.68/2.72  fd_pseudo_cond                          25
% 13.68/2.72  AC symbols                              0
% 13.68/2.72  
% 13.68/2.72  ------ Schedule dynamic 5 is on 
% 13.68/2.72  
% 13.68/2.72  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 13.68/2.72  
% 13.68/2.72  
% 13.68/2.72  ------ 
% 13.68/2.72  Current options:
% 13.68/2.72  ------ 
% 13.68/2.72  
% 13.68/2.72  
% 13.68/2.72  
% 13.68/2.72  
% 13.68/2.72  ------ Proving...
% 13.68/2.72  
% 13.68/2.72  
% 13.68/2.72  % SZS status Theorem for theBenchmark.p
% 13.68/2.72  
% 13.68/2.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.68/2.72  
% 13.68/2.73  
%------------------------------------------------------------------------------