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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : NUM603+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:20:29 PM UTC 2026

% Result   : Theorem 64.42s 8.64s
% Output   : Proof 64.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   89 (  47 unt;   2 def)
%            Number of atoms       :  226 (  80 equ)
%            Maximal formula atoms :   22 (   2 avg)
%            Number of connectives :  249 ( 112   ~;  74   |;  49   &)
%                                         (   3 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  11 con; 0-4 aty)
%            Number of variables   :   73 (   3 sgn  44   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f82,hypothesis,
    ! [W0,W1] :
      ( ( aElementOf0(W1,szNzAzT0)
        & aElementOf0(W0,szNzAzT0) )
     => ( sdtlseqdt0(W1,W0)
       => aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).

fof(f82_nnf,plain,
    ! [W0,W1] :
      ( aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1))
      | ~ sdtlseqdt0(W1,W0)
      | ~ aElementOf0(W1,szNzAzT0)
      | ~ aElementOf0(W0,szNzAzT0) ),
    inference(nnf_transformation,[status(thm)],[f82]) ).

fof(f82_sk,plain,
    ! [W0,W1] :
      ( aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1))
      | ~ sdtlseqdt0(W1,W0)
      | ~ aElementOf0(W1,szNzAzT0)
      | ~ aElementOf0(W0,szNzAzT0) ),
    inference(skolemisation,[status(esa)],[f82_nnf]) ).

cnf(c188,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
    | ~ sdtlseqdt0(X1,X0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[status(esa)],[f82_sk]) ).

cnf(t177,plain,
    ifeq(aElementOf0(X1,szNzAzT0),true,ifeq(aElementOf0(X2,szNzAzT0),true,ifeq(sdtlseqdt0(X2,X1),true,aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c188]) ).

cnf(t297,plain,
    ifeq(aElementOf0(X1,szNzAzT0),true,ifeq(aElementOf0(X2,szNzAzT0),true,ifeq(sdtlseqdt0(X2,X1),true,aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)),true),true),true) = true,
    inference(orient,[status(thm)],[t177]) ).

fof(f29,axiom,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => sdtlseqdt0(sz00,W0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).

fof(f29_nnf,plain,
    ! [W0] :
      ( sdtlseqdt0(sz00,W0)
      | ~ aElementOf0(W0,szNzAzT0) ),
    inference(nnf_transformation,[status(thm)],[f29]) ).

fof(f29_sk,plain,
    ! [W0] :
      ( sdtlseqdt0(sz00,W0)
      | ~ aElementOf0(W0,szNzAzT0) ),
    inference(skolemisation,[status(esa)],[f29_nnf]) ).

cnf(c62,plain,
    ( sdtlseqdt0(sz00,X0)
    | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[status(esa)],[f29_sk]) ).

cnf(t89,plain,
    ifeq(aElementOf0(X1,szNzAzT0),true,sdtlseqdt0(sz00,X1),true) = true,
    inference(equality_encoding,[status(esa)],[c62]) ).

cnf(t328,plain,
    ifeq(aElementOf0(X1,szNzAzT0),true,sdtlseqdt0(sz00,X1),true) = true,
    inference(orient,[status(thm)],[t89]) ).

fof(f98,hypothesis,
    ( sdtlpdtrp0(xe,xi) = xx
    & aElementOf0(xi,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5034) ).

fof(f98_nnf,plain,
    ( sdtlpdtrp0(xe,xi) = xx
    & aElementOf0(xi,szNzAzT0) ),
    inference(nnf_transformation,[status(thm)],[f98]) ).

fof(f98_sk,plain,
    ( sdtlpdtrp0(xe,xi) = xx
    & aElementOf0(xi,szNzAzT0) ),
    inference(skolemisation,[status(esa)],[f98_nnf]) ).

cnf(c221,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[status(esa)],[f98_sk]) ).

cnf(t26,plain,
    aElementOf0(xi,szNzAzT0) = true,
    inference(equality_encoding,[status(esa)],[c221]) ).

cnf(t736,plain,
    aElementOf0(xi,szNzAzT0) = true,
    inference(orient,[status(thm)],[t26]) ).

cnf(t737,plain,
    true = ifeq(true,true,sdtlseqdt0(sz00,xi),true),
    inference(cp,[status(thm)],[t328,t736]) ).

cnf(t60,plain,
    ifeq(X1,X1,X2,X3) = X2,
    introduced(definition) ).

cnf(t256,plain,
    ifeq(X1,X1,X2,X3) = X2,
    inference(orient,[status(thm)],[t60]) ).

cnf(t3482,plain,
    true = sdtlseqdt0(sz00,xi),
    inference(step,[status(thm)],[t737,t256]) ).

cnf(t3414,plain,
    sdtlseqdt0(sz00,xi) = true,
    inference(orient,[status(thm)],[t3482]) ).

cnf(t3420,plain,
    true = ifeq(aElementOf0(xi,szNzAzT0),true,ifeq(aElementOf0(sz00,szNzAzT0),true,ifeq(true,true,aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00)),true),true),true),
    inference(cp,[status(thm)],[t297,t3414]) ).

cnf(t3483,plain,
    true = ifeq(true,true,ifeq(aElementOf0(sz00,szNzAzT0),true,ifeq(true,true,aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00)),true),true),true),
    inference(step,[status(thm)],[t3420,t736]) ).

cnf(t3484,plain,
    true = ifeq(aElementOf0(sz00,szNzAzT0),true,ifeq(true,true,aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00)),true),true),
    inference(step,[status(thm)],[t3483,t256]) ).

fof(f23,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).

fof(f23_nnf,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(nnf_transformation,[status(thm)],[f23]) ).

cnf(c54,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(cnf_transformation,[status(esa)],[f23_nnf]) ).

cnf(t24,plain,
    aElementOf0(sz00,szNzAzT0) = true,
    inference(equality_encoding,[status(esa)],[c54]) ).

cnf(t453,plain,
    aElementOf0(sz00,szNzAzT0) = true,
    inference(orient,[status(thm)],[t24]) ).

cnf(t3485,plain,
    true = ifeq(true,true,ifeq(true,true,aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00)),true),true),
    inference(step,[status(thm)],[t3484,t453]) ).

cnf(t3486,plain,
    true = ifeq(true,true,aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00)),true),
    inference(step,[status(thm)],[t3485,t256]) ).

cnf(t3487,plain,
    true = aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00)),
    inference(step,[status(thm)],[t3486,t256]) ).

fof(f80,hypothesis,
    ( ! [W0] :
        ( aElementOf0(W0,szNzAzT0)
       => ( ( isCountable0(sdtlpdtrp0(xN,W0))
            & aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0) )
         => ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) )
    & sdtlpdtrp0(xN,sz00) = xS
    & szDzozmdt0(xN) = szNzAzT0
    & aFunction0(xN) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).

fof(f80_nnf,plain,
    ( ! [W0] :
        ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
        | ~ isCountable0(sdtlpdtrp0(xN,W0))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
        | ~ aElementOf0(W0,szNzAzT0) )
    & sdtlpdtrp0(xN,sz00) = xS
    & szDzozmdt0(xN) = szNzAzT0
    & aFunction0(xN) ),
    inference(nnf_transformation,[status(thm)],[f80]) ).

fof(f80_sk,plain,
    ! [W0] :
      ( ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
        | ~ isCountable0(sdtlpdtrp0(xN,W0))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
        | ~ aElementOf0(W0,szNzAzT0) )
      & sdtlpdtrp0(xN,sz00) = xS
      & szDzozmdt0(xN) = szNzAzT0
      & aFunction0(xN) ),
    inference(skolemisation,[status(esa)],[f80_nnf]) ).

cnf(c183,plain,
    sdtlpdtrp0(xN,sz00) = xS,
    inference(cnf_transformation,[status(esa)],[f80_sk]) ).

cnf(t44,plain,
    sdtlpdtrp0(xN,sz00) = xS,
    inference(equality_encoding,[status(esa)],[c183]) ).

cnf(t2750,plain,
    sdtlpdtrp0(xN,sz00) = xS,
    inference(orient,[status(thm)],[t44]) ).

cnf(t3488,plain,
    true = aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(step,[status(thm)],[t3487,t2750]) ).

fof(f99,conjecture,
    aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f99_neg,negated_conjecture,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(negated_conjecture,[status(cth)],[f99]) ).

fof(f99_nnf,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(nnf_transformation,[status(thm)],[f99_neg]) ).

fof(f99_sk,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(skolemisation,[status(esa)],[f99_nnf]) ).

cnf(c223,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(cnf_transformation,[status(esa)],[f99_sk]) ).

cnf(t59,plain,
    aSubsetOf0(sdtlpdtrp0(xN,xi),xS) = false,
    inference(equality_encoding,[status(esa)],[c223]) ).

cnf(t2846,plain,
    aSubsetOf0(sdtlpdtrp0(xN,xi),xS) = false,
    inference(orient,[status(thm)],[t59]) ).

cnf(t3489,plain,
    true = false,
    inference(step,[status(thm)],[t3488,t2846]) ).

cnf(t3428,plain,
    false = true,
    inference(orient,[status(thm)],[t3489]) ).

fof(f4,definition,
    ! [W0] :
      ( W0 = slcrc0
    <=> ( ~ ? [W1] : aElementOf0(W1,W0)
        & aSet0(W0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).

fof(f4_nnf,plain,
    ! [W0] :
      ( ( ? [W1] : aElementOf0(W1,W0)
        | ~ aSet0(W0)
        | W0 = slcrc0 )
      & ( ( ! [W1] : ~ aElementOf0(W1,W0)
          & aSet0(W0) )
        | W0 != slcrc0 ) ),
    inference(nnf_transformation,[status(thm)],[f4]) ).

fof(f4_sk,plain,
    ! [W0,W1] :
      ( ( aElementOf0(sk0(W0),W0)
        | ~ aSet0(W0)
        | W0 = slcrc0 )
      & ( ( ~ aElementOf0(W1,W0)
          & aSet0(W0) )
        | W0 != slcrc0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f4_nnf]) ).

cnf(c5,plain,
    ( ~ aElementOf0(X1,X0)
    | X0 != slcrc0 ),
    inference(cnf_transformation,[status(esa)],[f4_sk]) ).

fof(f7,axiom,
    ! [W0] :
      ( ( isCountable0(W0)
        & aSet0(W0) )
     => ~ isFinite0(W0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).

fof(f7_nnf,plain,
    ! [W0] :
      ( ~ isFinite0(W0)
      | ~ isCountable0(W0)
      | ~ aSet0(W0) ),
    inference(nnf_transformation,[status(thm)],[f7]) ).

fof(f7_sk,plain,
    ! [W0] :
      ( ~ isFinite0(W0)
      | ~ isCountable0(W0)
      | ~ aSet0(W0) ),
    inference(skolemisation,[status(esa)],[f7_nnf]) ).

cnf(c9,plain,
    ( ~ isFinite0(X0)
    | ~ isCountable0(X0)
    | ~ aSet0(X0) ),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

fof(f8,axiom,
    ! [W0] :
      ( ( isCountable0(W0)
        & aSet0(W0) )
     => W0 != slcrc0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).

fof(f8_nnf,plain,
    ! [W0] :
      ( W0 != slcrc0
      | ~ isCountable0(W0)
      | ~ aSet0(W0) ),
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ! [W0] :
      ( W0 != slcrc0
      | ~ isCountable0(W0)
      | ~ aSet0(W0) ),
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c10,plain,
    ( X0 != slcrc0
    | ~ isCountable0(X0)
    | ~ aSet0(X0) ),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

fof(f15,definition,
    ! [W0,W1] :
      ( ( aElement0(W1)
        & aSet0(W0) )
     => ! [W2] :
          ( W2 = sdtmndt0(W0,W1)
        <=> ( ! [W3] :
                ( aElementOf0(W3,W2)
              <=> ( W3 != W1
                  & aElementOf0(W3,W0)
                  & aElement0(W3) ) )
            & aSet0(W2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).

fof(f15_nnf,plain,
    ! [W0,W1] :
      ( ! [W2] :
          ( ( ? [W3] :
                ( ( W3 != W1
                  & aElementOf0(W3,W0)
                  & aElement0(W3)
                  & ~ aElementOf0(W3,W2) )
                | ( ( W3 = W1
                    | ~ aElementOf0(W3,W0)
                    | ~ aElement0(W3) )
                  & aElementOf0(W3,W2) ) )
            | ~ aSet0(W2)
            | W2 = sdtmndt0(W0,W1) )
          & ( ( ! [W3] :
                  ( ( W3 = W1
                    | ~ aElementOf0(W3,W0)
                    | ~ aElement0(W3)
                    | aElementOf0(W3,W2) )
                  & ( ( W3 != W1
                      & aElementOf0(W3,W0)
                      & aElement0(W3) )
                    | ~ aElementOf0(W3,W2) ) )
              & aSet0(W2) )
            | W2 != sdtmndt0(W0,W1) ) )
      | ~ aElement0(W1)
      | ~ aSet0(W0) ),
    inference(nnf_transformation,[status(thm)],[f15]) ).

fof(f15_sk,plain,
    ! [W0,W1,W2,W3] :
      ( ( ( ( sk3(W0,W1,W2) != W1
            & aElementOf0(sk3(W0,W1,W2),W0)
            & aElement0(sk3(W0,W1,W2))
            & ~ aElementOf0(sk3(W0,W1,W2),W2) )
          | ( ( sk3(W0,W1,W2) = W1
              | ~ aElementOf0(sk3(W0,W1,W2),W0)
              | ~ aElement0(sk3(W0,W1,W2)) )
            & aElementOf0(sk3(W0,W1,W2),W2) )
          | ~ aSet0(W2)
          | W2 = sdtmndt0(W0,W1) )
        & ( ( ( W3 = W1
              | ~ aElementOf0(W3,W0)
              | ~ aElement0(W3)
              | aElementOf0(W3,W2) )
            & ( ( W3 != W1
                & aElementOf0(W3,W0)
                & aElement0(W3) )
              | ~ aElementOf0(W3,W2) )
            & aSet0(W2) )
          | W2 != sdtmndt0(W0,W1) ) )
      | ~ aElement0(W1)
      | ~ aSet0(W0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f15_nnf]) ).

cnf(c36,plain,
    ( X3 != X1
    | ~ aElementOf0(X3,X2)
    | X2 != sdtmndt0(X0,X1)
    | ~ aElement0(X1)
    | ~ aSet0(X0) ),
    inference(cnf_transformation,[status(esa)],[f15_sk]) ).

fof(f24,axiom,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => ( szszuzczcdt0(W0) != sz00
        & aElementOf0(szszuzczcdt0(W0),szNzAzT0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).

fof(f24_nnf,plain,
    ! [W0] :
      ( ( szszuzczcdt0(W0) != sz00
        & aElementOf0(szszuzczcdt0(W0),szNzAzT0) )
      | ~ aElementOf0(W0,szNzAzT0) ),
    inference(nnf_transformation,[status(thm)],[f24]) ).

fof(f24_sk,plain,
    ! [W0] :
      ( ( szszuzczcdt0(W0) != sz00
        & aElementOf0(szszuzczcdt0(W0),szNzAzT0) )
      | ~ aElementOf0(W0,szNzAzT0) ),
    inference(skolemisation,[status(esa)],[f24_nnf]) ).

cnf(c56,plain,
    ( szszuzczcdt0(X0) != sz00
    | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[status(esa)],[f24_sk]) ).

fof(f27,axiom,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => W0 != szszuzczcdt0(W0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatNSucc) ).

fof(f27_nnf,plain,
    ! [W0] :
      ( W0 != szszuzczcdt0(W0)
      | ~ aElementOf0(W0,szNzAzT0) ),
    inference(nnf_transformation,[status(thm)],[f27]) ).

fof(f27_sk,plain,
    ! [W0] :
      ( W0 != szszuzczcdt0(W0)
      | ~ aElementOf0(W0,szNzAzT0) ),
    inference(skolemisation,[status(esa)],[f27_nnf]) ).

cnf(c60,plain,
    ( X0 != szszuzczcdt0(X0)
    | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[status(esa)],[f27_sk]) ).

fof(f30,axiom,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).

fof(f30_nnf,plain,
    ! [W0] :
      ( ~ sdtlseqdt0(szszuzczcdt0(W0),sz00)
      | ~ aElementOf0(W0,szNzAzT0) ),
    inference(nnf_transformation,[status(thm)],[f30]) ).

fof(f30_sk,plain,
    ! [W0] :
      ( ~ sdtlseqdt0(szszuzczcdt0(W0),sz00)
      | ~ aElementOf0(W0,szNzAzT0) ),
    inference(skolemisation,[status(esa)],[f30_nnf]) ).

cnf(c63,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
    | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[status(esa)],[f30_sk]) ).

fof(f77,hypothesis,
    xK != sz00,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).

fof(f77_nnf,plain,
    xK != sz00,
    inference(nnf_transformation,[status(thm)],[f77]) ).

fof(f77_sk,plain,
    xK != sz00,
    inference(skolemisation,[status(esa)],[f77_nnf]) ).

cnf(c177,plain,
    xK != sz00,
    inference(cnf_transformation,[status(esa)],[f77_sk]) ).

fof(f78,hypothesis,
    xK != sz00,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3520) ).

fof(f78_nnf,plain,
    xK != sz00,
    inference(nnf_transformation,[status(thm)],[f78]) ).

fof(f78_sk,plain,
    xK != sz00,
    inference(skolemisation,[status(esa)],[f78_nnf]) ).

cnf(c178,plain,
    xK != sz00,
    inference(cnf_transformation,[status(esa)],[f78_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c5,c9,c10,c36,c56,c60,c63,c177,c178,c223]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t3428]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM603+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/0.37  % Computer : n008.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8046.5625MB
% 0.13/0.37  % OS       : Linux 6.8.0-71-generic
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Thu Sep 24 04:52:39 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 64.42/8.64  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 64.42/8.64  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------