↑ Up

FindProof---0.1.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : NUM614+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 : n009.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 02:20:32 PM UTC 2026

% Result   : Theorem 56.84s 7.80s
% Output   : Proof 56.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   92 (  51 unt;   3 def)
%            Number of atoms       :  243 (  99 equ)
%            Maximal formula atoms :   22 (   2 avg)
%            Number of connectives :  274 ( 123   ~;  81   |;  58   &)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  12 con; 0-4 aty)
%            Number of variables   :   83 (   3 sgn  44   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f56,definition,
    ! [W0,W1] :
      ( ( aElementOf0(W1,szNzAzT0)
        & aSet0(W0) )
     => ! [W2] :
          ( W2 = slbdtsldtrb0(W0,W1)
        <=> ( ! [W3] :
                ( aElementOf0(W3,W2)
              <=> ( sbrdtbr0(W3) = W1
                  & aSubsetOf0(W3,W0) ) )
            & aSet0(W2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).

fof(f56_nnf,plain,
    ! [W0,W1] :
      ( ! [W2] :
          ( ( ? [W3] :
                ( ( sbrdtbr0(W3) = W1
                  & aSubsetOf0(W3,W0)
                  & ~ aElementOf0(W3,W2) )
                | ( ( sbrdtbr0(W3) != W1
                    | ~ aSubsetOf0(W3,W0) )
                  & aElementOf0(W3,W2) ) )
            | ~ aSet0(W2)
            | W2 = slbdtsldtrb0(W0,W1) )
          & ( ( ! [W3] :
                  ( ( sbrdtbr0(W3) != W1
                    | ~ aSubsetOf0(W3,W0)
                    | aElementOf0(W3,W2) )
                  & ( ( sbrdtbr0(W3) = W1
                      & aSubsetOf0(W3,W0) )
                    | ~ aElementOf0(W3,W2) ) )
              & aSet0(W2) )
            | W2 != slbdtsldtrb0(W0,W1) ) )
      | ~ aElementOf0(W1,szNzAzT0)
      | ~ aSet0(W0) ),
    inference(nnf_transformation,[status(thm)],[f56]) ).

fof(f56_sk,plain,
    ! [W0,W1,W2,W3] :
      ( ( ( ( sbrdtbr0(sk10(W0,W1,W2)) = W1
            & aSubsetOf0(sk10(W0,W1,W2),W0)
            & ~ aElementOf0(sk10(W0,W1,W2),W2) )
          | ( ( sbrdtbr0(sk10(W0,W1,W2)) != W1
              | ~ aSubsetOf0(sk10(W0,W1,W2),W0) )
            & aElementOf0(sk10(W0,W1,W2),W2) )
          | ~ aSet0(W2)
          | W2 = slbdtsldtrb0(W0,W1) )
        & ( ( ( sbrdtbr0(W3) != W1
              | ~ aSubsetOf0(W3,W0)
              | aElementOf0(W3,W2) )
            & ( ( sbrdtbr0(W3) = W1
                & aSubsetOf0(W3,W0) )
              | ~ aElementOf0(W3,W2) )
            & aSet0(W2) )
          | W2 != slbdtsldtrb0(W0,W1) ) )
      | ~ aElementOf0(W1,szNzAzT0)
      | ~ aSet0(W0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk10])],[f56_nnf]) ).

cnf(c115,plain,
    ( sbrdtbr0(X3) != X1
    | ~ aSubsetOf0(X3,X0)
    | aElementOf0(X3,X2)
    | X2 != slbdtsldtrb0(X0,X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aSet0(X0) ),
    inference(cnf_transformation,[status(esa)],[f56_sk]) ).

cnf(t209,plain,
    ifeq(aSet0(X1),true,ifeq(aElementOf0(X2,szNzAzT0),true,ifeq(X3,slbdtsldtrb0(X1,X2),ifeq(aSubsetOf0(X4,X1),true,ifeq(sbrdtbr0(X4),X2,aElementOf0(X4,X3),true),true),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c115]) ).

cnf(t337,plain,
    ifeq(aSet0(X1),true,ifeq(aElementOf0(X2,szNzAzT0),true,ifeq(X3,slbdtsldtrb0(X1,X2),ifeq(aSubsetOf0(X4,X1),true,ifeq(sbrdtbr0(X4),X2,aElementOf0(X4,X3),true),true),true),true),true) = true,
    inference(orient,[status(thm)],[t209]) ).

cnf(t69,plain,
    ifeq(X1,X1,X2,X3) = X2,
    introduced(definition) ).

cnf(t256,plain,
    ifeq(X1,X1,X2,X3) = X2,
    inference(orient,[status(thm)],[t69]) ).

cnf(t338,plain,
    true = ifeq(aSet0(X1),true,ifeq(aElementOf0(X2,szNzAzT0),true,ifeq(aSubsetOf0(X3,X1),true,ifeq(sbrdtbr0(X3),X2,aElementOf0(X3,slbdtsldtrb0(X1,X2)),true),true),true),true),
    inference(cp,[status(thm)],[t337,t256]) ).

cnf(t22255,plain,
    ifeq(aSet0(X1),true,ifeq(aElementOf0(X2,szNzAzT0),true,ifeq(aSubsetOf0(X3,X1),true,ifeq(sbrdtbr0(X3),X2,aElementOf0(X3,slbdtsldtrb0(X1,X2)),true),true),true),true) = true,
    inference(orient,[status(thm)],[t338]) ).

fof(f109,conjecture,
    aElementOf0(xP,slbdtsldtrb0(xO,xk)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f109_neg,negated_conjecture,
    ~ aElementOf0(xP,slbdtsldtrb0(xO,xk)),
    inference(negated_conjecture,[status(cth)],[f109]) ).

fof(f109_nnf,plain,
    ~ aElementOf0(xP,slbdtsldtrb0(xO,xk)),
    inference(nnf_transformation,[status(thm)],[f109_neg]) ).

fof(f109_sk,plain,
    ~ aElementOf0(xP,slbdtsldtrb0(xO,xk)),
    inference(skolemisation,[status(esa)],[f109_nnf]) ).

cnf(c234,plain,
    ~ aElementOf0(xP,slbdtsldtrb0(xO,xk)),
    inference(cnf_transformation,[status(esa)],[f109_sk]) ).

cnf(t67,plain,
    aElementOf0(xP,slbdtsldtrb0(xO,xk)) = false,
    inference(equality_encoding,[status(esa)],[c234]) ).

cnf(t2494,plain,
    aElementOf0(xP,slbdtsldtrb0(xO,xk)) = false,
    inference(orient,[status(thm)],[t67]) ).

cnf(t22407,plain,
    true = ifeq(aSet0(xO),true,ifeq(aElementOf0(xk,szNzAzT0),true,ifeq(aSubsetOf0(xP,xO),true,ifeq(sbrdtbr0(xP),xk,false,true),true),true),true),
    inference(cp,[status(thm)],[t22255,t2494]) ).

fof(f94,hypothesis,
    ( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aSet0(xO) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).

fof(f94_nnf,plain,
    ( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aSet0(xO) ),
    inference(nnf_transformation,[status(thm)],[f94]) ).

fof(f94_sk,plain,
    ( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aSet0(xO) ),
    inference(skolemisation,[status(esa)],[f94_nnf]) ).

cnf(c213,plain,
    aSet0(xO),
    inference(cnf_transformation,[status(esa)],[f94_sk]) ).

cnf(t8,plain,
    aSet0(xO) = true,
    inference(equality_encoding,[status(esa)],[c213]) ).

cnf(t1295,plain,
    aSet0(xO) = true,
    inference(orient,[status(thm)],[t8]) ).

cnf(t23898,plain,
    true = ifeq(true,true,ifeq(aElementOf0(xk,szNzAzT0),true,ifeq(aSubsetOf0(xP,xO),true,ifeq(sbrdtbr0(xP),xk,false,true),true),true),true),
    inference(step,[status(thm)],[t22407,t1295]) ).

cnf(t23899,plain,
    true = ifeq(aElementOf0(xk,szNzAzT0),true,ifeq(aSubsetOf0(xP,xO),true,ifeq(sbrdtbr0(xP),xk,false,true),true),true),
    inference(step,[status(thm)],[t23898,t256]) ).

fof(f79,hypothesis,
    ( szszuzczcdt0(xk) = xK
    & aElementOf0(xk,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).

fof(f79_nnf,plain,
    ( szszuzczcdt0(xk) = xK
    & aElementOf0(xk,szNzAzT0) ),
    inference(nnf_transformation,[status(thm)],[f79]) ).

fof(f79_sk,plain,
    ( szszuzczcdt0(xk) = xK
    & aElementOf0(xk,szNzAzT0) ),
    inference(skolemisation,[status(esa)],[f79_nnf]) ).

cnf(c179,plain,
    aElementOf0(xk,szNzAzT0),
    inference(cnf_transformation,[status(esa)],[f79_sk]) ).

cnf(t30,plain,
    aElementOf0(xk,szNzAzT0) = true,
    inference(equality_encoding,[status(esa)],[c179]) ).

cnf(t830,plain,
    aElementOf0(xk,szNzAzT0) = true,
    inference(orient,[status(thm)],[t30]) ).

cnf(t23900,plain,
    true = ifeq(true,true,ifeq(aSubsetOf0(xP,xO),true,ifeq(sbrdtbr0(xP),xk,false,true),true),true),
    inference(step,[status(thm)],[t23899,t830]) ).

cnf(t23901,plain,
    true = ifeq(aSubsetOf0(xP,xO),true,ifeq(sbrdtbr0(xP),xk,false,true),true),
    inference(step,[status(thm)],[t23900,t256]) ).

fof(f107,hypothesis,
    aSubsetOf0(xP,xO),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5208) ).

fof(f107_nnf,plain,
    aSubsetOf0(xP,xO),
    inference(nnf_transformation,[status(thm)],[f107]) ).

cnf(c232,plain,
    aSubsetOf0(xP,xO),
    inference(cnf_transformation,[status(esa)],[f107_nnf]) ).

cnf(t35,plain,
    aSubsetOf0(xP,xO) = true,
    inference(equality_encoding,[status(esa)],[c232]) ).

cnf(t1619,plain,
    aSubsetOf0(xP,xO) = true,
    inference(orient,[status(thm)],[t35]) ).

cnf(t23902,plain,
    true = ifeq(true,true,ifeq(sbrdtbr0(xP),xk,false,true),true),
    inference(step,[status(thm)],[t23901,t1619]) ).

cnf(t23903,plain,
    true = ifeq(sbrdtbr0(xP),xk,false,true),
    inference(step,[status(thm)],[t23902,t256]) ).

fof(f108,hypothesis,
    sbrdtbr0(xP) = xk,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5217) ).

fof(f108_nnf,plain,
    sbrdtbr0(xP) = xk,
    inference(nnf_transformation,[status(thm)],[f108]) ).

cnf(c233,plain,
    sbrdtbr0(xP) = xk,
    inference(cnf_transformation,[status(esa)],[f108_nnf]) ).

cnf(t19,plain,
    sbrdtbr0(xP) = xk,
    inference(equality_encoding,[status(esa)],[c233]) ).

cnf(t3056,plain,
    sbrdtbr0(xP) = xk,
    inference(orient,[status(thm)],[t19]) ).

cnf(t23904,plain,
    true = ifeq(xk,xk,false,true),
    inference(step,[status(thm)],[t23903,t3056]) ).

cnf(t23905,plain,
    true = false,
    inference(step,[status(thm)],[t23904,t256]) ).

cnf(t22409,plain,
    false = true,
    inference(orient,[status(thm)],[t23905]) ).

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]) ).

fof(f99,hypothesis,
    ( xQ != slcrc0
    & aSubsetOf0(xQ,xO) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).

fof(f99_nnf,plain,
    ( xQ != slcrc0
    & aSubsetOf0(xQ,xO) ),
    inference(nnf_transformation,[status(thm)],[f99]) ).

fof(f99_sk,plain,
    ( xQ != slcrc0
    & aSubsetOf0(xQ,xO) ),
    inference(skolemisation,[status(esa)],[f99_nnf]) ).

cnf(c223,plain,
    xQ != slcrc0,
    inference(cnf_transformation,[status(esa)],[f99_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c5,c9,c10,c36,c56,c60,c63,c177,c178,c223,c234]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t22409]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM614+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37  % Computer : n009.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Thu Sep 24 04:54:59 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 56.84/7.80  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.84/7.80  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------