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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : NUM539+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n016.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 02:20:18 PM UTC 2026

% Result   : Theorem 17.47s 7.63s
% Output   : Proof 17.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   75 (  29 unt;   2 def)
%            Number of atoms       :  270 (  67 equ)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives :  323 ( 128   ~;  89   |;  85   &)
%                                         (   3 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  10 con; 0-4 aty)
%            Number of variables   :   90 (   1 sgn  57   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f49,hypothesis,
    ( aElementOf0(szmzizndt0(xT),xS)
    & ! [W0] :
        ( aElementOf0(W0,xT)
       => sdtlseqdt0(szmzizndt0(xT),W0) )
    & aElementOf0(szmzizndt0(xT),xT)
    & aElementOf0(szmzizndt0(xS),xT)
    & ! [W0] :
        ( aElementOf0(W0,xS)
       => sdtlseqdt0(szmzizndt0(xS),W0) )
    & aElementOf0(szmzizndt0(xS),xS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1802) ).

fof(f49_nnf,plain,
    ( aElementOf0(szmzizndt0(xT),xS)
    & ! [W0] :
        ( sdtlseqdt0(szmzizndt0(xT),W0)
        | ~ aElementOf0(W0,xT) )
    & aElementOf0(szmzizndt0(xT),xT)
    & aElementOf0(szmzizndt0(xS),xT)
    & ! [W0] :
        ( sdtlseqdt0(szmzizndt0(xS),W0)
        | ~ aElementOf0(W0,xS) )
    & aElementOf0(szmzizndt0(xS),xS) ),
    inference(nnf_transformation,[status(thm)],[f49]) ).

fof(f49_sk,plain,
    ! [W0] :
      ( aElementOf0(szmzizndt0(xT),xS)
      & ( sdtlseqdt0(szmzizndt0(xT),W0)
        | ~ aElementOf0(W0,xT) )
      & aElementOf0(szmzizndt0(xT),xT)
      & aElementOf0(szmzizndt0(xS),xT)
      & ( sdtlseqdt0(szmzizndt0(xS),W0)
        | ~ aElementOf0(W0,xS) )
      & aElementOf0(szmzizndt0(xS),xS) ),
    inference(skolemisation,[status(esa)],[f49_nnf]) ).

cnf(c105,plain,
    ( sdtlseqdt0(szmzizndt0(xT),X0)
    | ~ aElementOf0(X0,xT) ),
    inference(cnf_transformation,[status(esa)],[f49_sk]) ).

cnf(hi81,axiom,
    ifeq(aElementOf0(X0,xT),true,sdtlseqdt0(szmzizndt0(xT),X0),true) = true,
    inference(equality_encoding,[status(esa)],[c105]) ).

fof(f50,conjecture,
    ( ( ! [W0] :
          ( aElementOf0(W0,xS)
         => sdtlseqdt0(szmzizndt0(xS),W0) )
      & aElementOf0(szmzizndt0(xS),xS) )
   => ( szmzizndt0(xS) = szmzizndt0(xT)
      | ! [W0] :
          ( aElementOf0(W0,xT)
         => sdtlseqdt0(szmzizndt0(xS),W0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f50_neg,negated_conjecture,
    ~ ( ( ! [W0] :
            ( aElementOf0(W0,xS)
           => sdtlseqdt0(szmzizndt0(xS),W0) )
        & aElementOf0(szmzizndt0(xS),xS) )
     => ( szmzizndt0(xS) = szmzizndt0(xT)
        | ! [W0] :
            ( aElementOf0(W0,xT)
           => sdtlseqdt0(szmzizndt0(xS),W0) ) ) ),
    inference(negated_conjecture,[status(cth)],[f50]) ).

fof(f50_nnf,plain,
    ( szmzizndt0(xS) != szmzizndt0(xT)
    & ? [W0] :
        ( ~ sdtlseqdt0(szmzizndt0(xS),W0)
        & aElementOf0(W0,xT) )
    & ! [W0] :
        ( sdtlseqdt0(szmzizndt0(xS),W0)
        | ~ aElementOf0(W0,xS) )
    & aElementOf0(szmzizndt0(xS),xS) ),
    inference(nnf_transformation,[status(thm)],[f50_neg]) ).

fof(f50_sk,plain,
    ! [W0] :
      ( szmzizndt0(xS) != szmzizndt0(xT)
      & ~ sdtlseqdt0(szmzizndt0(xS),sk10)
      & aElementOf0(sk10,xT)
      & ( sdtlseqdt0(szmzizndt0(xS),W0)
        | ~ aElementOf0(W0,xS) )
      & aElementOf0(szmzizndt0(xS),xS) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk10])],[f50_nnf]) ).

cnf(c109,plain,
    aElementOf0(sk10,xT),
    inference(cnf_transformation,[status(esa)],[f50_sk]) ).

cnf(hi85,negated_conjecture,
    aElementOf0(sk10,xT) = true,
    inference(equality_encoding,[status(esa)],[c109]) ).

cnf(h160,plain,
    sdtlseqdt0(szmzizndt0(xT),sk10) = true,
    inference(hyper_resolution,[status(thm)],[hi81,hi85]) ).

cnf(c108,plain,
    ( sdtlseqdt0(szmzizndt0(xS),X0)
    | ~ aElementOf0(X0,xS) ),
    inference(cnf_transformation,[status(esa)],[f50_sk]) ).

cnf(hi84,negated_conjecture,
    ifeq(aElementOf0(X0,xS),true,sdtlseqdt0(szmzizndt0(xS),X0),true) = true,
    inference(equality_encoding,[status(esa)],[c108]) ).

cnf(c106,plain,
    aElementOf0(szmzizndt0(xT),xS),
    inference(cnf_transformation,[status(esa)],[f49_sk]) ).

cnf(hi82,axiom,
    aElementOf0(szmzizndt0(xT),xS) = true,
    inference(equality_encoding,[status(esa)],[c106]) ).

cnf(h925,plain,
    sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)) = true,
    inference(hyper_resolution,[status(thm)],[hi84,hi82]) ).

fof(f48,hypothesis,
    ( ~ ( xT = slcrc0
        | ~ ? [W0] : aElementOf0(W0,xT) )
    & ~ ( xS = slcrc0
        | ~ ? [W0] : aElementOf0(W0,xS) )
    & aSubsetOf0(xT,szNzAzT0)
    & ! [W0] :
        ( aElementOf0(W0,xT)
       => aElementOf0(W0,szNzAzT0) )
    & aSet0(xT)
    & aSubsetOf0(xS,szNzAzT0)
    & ! [W0] :
        ( aElementOf0(W0,xS)
       => aElementOf0(W0,szNzAzT0) )
    & aSet0(xS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1779) ).

fof(f48_nnf,plain,
    ( xT != slcrc0
    & ? [W0] : aElementOf0(W0,xT)
    & xS != slcrc0
    & ? [W0] : aElementOf0(W0,xS)
    & aSubsetOf0(xT,szNzAzT0)
    & ! [W0] :
        ( aElementOf0(W0,szNzAzT0)
        | ~ aElementOf0(W0,xT) )
    & aSet0(xT)
    & aSubsetOf0(xS,szNzAzT0)
    & ! [W0] :
        ( aElementOf0(W0,szNzAzT0)
        | ~ aElementOf0(W0,xS) )
    & aSet0(xS) ),
    inference(nnf_transformation,[status(thm)],[f48]) ).

fof(f48_sk,plain,
    ! [W0] :
      ( xT != slcrc0
      & aElementOf0(sk9,xT)
      & xS != slcrc0
      & aElementOf0(sk8,xS)
      & aSubsetOf0(xT,szNzAzT0)
      & ( aElementOf0(W0,szNzAzT0)
        | ~ aElementOf0(W0,xT) )
      & aSet0(xT)
      & aSubsetOf0(xS,szNzAzT0)
      & ( aElementOf0(W0,szNzAzT0)
        | ~ aElementOf0(W0,xS) )
      & aSet0(xS) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk8,sk9])],[f48_nnf]) ).

cnf(c95,plain,
    ( aElementOf0(X0,szNzAzT0)
    | ~ aElementOf0(X0,xT) ),
    inference(cnf_transformation,[status(esa)],[f48_sk]) ).

cnf(hi73,axiom,
    ifeq(aElementOf0(X0,xT),true,aElementOf0(X0,szNzAzT0),true) = true,
    inference(equality_encoding,[status(esa)],[c95]) ).

cnf(h161,plain,
    aElementOf0(sk10,szNzAzT0) = true,
    inference(hyper_resolution,[status(thm)],[hi73,hi85]) ).

cnf(c104,plain,
    aElementOf0(szmzizndt0(xT),xT),
    inference(cnf_transformation,[status(esa)],[f49_sk]) ).

cnf(hi80,axiom,
    aElementOf0(szmzizndt0(xT),xT) = true,
    inference(equality_encoding,[status(esa)],[c104]) ).

cnf(h803,plain,
    aElementOf0(szmzizndt0(xT),szNzAzT0) = true,
    inference(hyper_resolution,[status(thm)],[hi73,hi80]) ).

cnf(c92,plain,
    ( aElementOf0(X0,szNzAzT0)
    | ~ aElementOf0(X0,xS) ),
    inference(cnf_transformation,[status(esa)],[f48_sk]) ).

cnf(hi70,axiom,
    ifeq(aElementOf0(X0,xS),true,aElementOf0(X0,szNzAzT0),true) = true,
    inference(equality_encoding,[status(esa)],[c92]) ).

cnf(c101,plain,
    aElementOf0(szmzizndt0(xS),xS),
    inference(cnf_transformation,[status(esa)],[f49_sk]) ).

cnf(hi77,axiom,
    aElementOf0(szmzizndt0(xS),xS) = true,
    inference(equality_encoding,[status(esa)],[c101]) ).

cnf(h655,plain,
    aElementOf0(szmzizndt0(xS),szNzAzT0) = true,
    inference(hyper_resolution,[status(thm)],[hi70,hi77]) ).

fof(f35,axiom,
    ! [W0,W1,W2] :
      ( ( aElementOf0(W2,szNzAzT0)
        & aElementOf0(W1,szNzAzT0)
        & aElementOf0(W0,szNzAzT0) )
     => ( ( sdtlseqdt0(W1,W2)
          & sdtlseqdt0(W0,W1) )
       => sdtlseqdt0(W0,W2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTrans) ).

fof(f35_nnf,plain,
    ! [W0,W1,W2] :
      ( sdtlseqdt0(W0,W2)
      | ~ sdtlseqdt0(W1,W2)
      | ~ sdtlseqdt0(W0,W1)
      | ~ aElementOf0(W2,szNzAzT0)
      | ~ aElementOf0(W1,szNzAzT0)
      | ~ aElementOf0(W0,szNzAzT0) ),
    inference(nnf_transformation,[status(thm)],[f35]) ).

fof(f35_sk,plain,
    ! [W0,W1,W2] :
      ( sdtlseqdt0(W0,W2)
      | ~ sdtlseqdt0(W1,W2)
      | ~ sdtlseqdt0(W0,W1)
      | ~ aElementOf0(W2,szNzAzT0)
      | ~ aElementOf0(W1,szNzAzT0)
      | ~ aElementOf0(W0,szNzAzT0) ),
    inference(skolemisation,[status(esa)],[f35_nnf]) ).

cnf(c69,plain,
    ( sdtlseqdt0(X0,X2)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X0,X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[status(esa)],[f35_sk]) ).

cnf(hi48,axiom,
    ifeq(aElementOf0(X0,szNzAzT0),true,ifeq(aElementOf0(X1,szNzAzT0),true,ifeq(aElementOf0(X2,szNzAzT0),true,ifeq(sdtlseqdt0(X0,X1),true,ifeq(sdtlseqdt0(X1,X2),true,sdtlseqdt0(X0,X2),true),true),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c69]) ).

cnf(h2051,plain,
    sdtlseqdt0(szmzizndt0(xS),sk10) = true,
    inference(hyper_resolution,[status(thm)],[hi48,h655,h803,h161,h925,h160]) ).

cnf(c110,plain,
    ~ sdtlseqdt0(szmzizndt0(xS),sk10),
    inference(cnf_transformation,[status(esa)],[f50_sk]) ).

cnf(hi95,negated_conjecture,
    ifeq(sdtlseqdt0(szmzizndt0(xS),sk10),true,false,true) = true,
    inference(equality_encoding,[status(esa)],[c110]) ).

cnf(t0,plain,
    true = false,
    inference(hyper_resolution,[status(thm)],[hi95,h2051]) ).

cnf(t1701,plain,
    false = true,
    inference(orient,[status(thm)],[t0]) ).

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]) ).

cnf(c98,plain,
    xS != slcrc0,
    inference(cnf_transformation,[status(esa)],[f48_sk]) ).

cnf(c100,plain,
    xT != slcrc0,
    inference(cnf_transformation,[status(esa)],[f48_sk]) ).

cnf(c111,plain,
    szmzizndt0(xS) != szmzizndt0(xT),
    inference(cnf_transformation,[status(esa)],[f50_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c5,c9,c10,c36,c56,c60,c63,c98,c100,c110,c111]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t1701]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM539+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/5.37  % Computer : n016.cluster.edu
% 0.11/5.37  % Model    : x86_64 x86_64
% 0.11/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37  % Memory   : 8046.5625MB
% 0.11/5.37  % OS       : Linux 6.8.0-71-generic
% 0.11/5.37  % CPULimit : 300
% 0.11/5.37  % WCLimit  : 300
% 0.11/5.37  % DateTime : Thu Sep 24 04:36:02 UTC 2026
% 0.11/5.37  % CPUTime  : 
% 0.11/5.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.47/7.63  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.47/7.63  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------