TSTP Solution File: COM018+4 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : COM018+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 : Wed Aug 30 18:42:06 EDT 2023

% Result   : Theorem 0.86s 1.07s
% Output   : CNFRefutation 0.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   39 (  10 unt;   0 def)
%            Number of atoms       :  357 (  27 equ)
%            Maximal formula atoms :   30 (   9 avg)
%            Number of connectives :  416 (  98   ~; 128   |; 176   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  106 (   2 sgn;  58   !;  42   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,axiom,
    ! [X0] :
      ( ( isTerminating0(X0)
        & aRewritingSystem0(X0) )
     => ! [X1] :
          ( aElement0(X1)
         => ? [X2] : aNormalFormOfIn0(X2,X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTermNF) ).

fof(f15,axiom,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).

fof(f16,axiom,
    ( isTerminating0(xR)
    & ! [X0,X1] :
        ( ( aElement0(X1)
          & aElement0(X0) )
       => ( ( sdtmndtplgtdt0(X0,xR,X1)
            | ? [X2] :
                ( sdtmndtplgtdt0(X2,xR,X1)
                & aReductOfIn0(X2,X0,xR)
                & aElement0(X2) )
            | aReductOfIn0(X1,X0,xR) )
         => iLess0(X1,X0) ) )
    & isLocallyConfluent0(xR)
    & ! [X0,X1,X2] :
        ( ( aReductOfIn0(X2,X0,xR)
          & aReductOfIn0(X1,X0,xR)
          & aElement0(X2)
          & aElement0(X1)
          & aElement0(X0) )
       => ? [X3] :
            ( sdtmndtasgtdt0(X2,xR,X3)
            & ( ( sdtmndtplgtdt0(X2,xR,X3)
                & ( ? [X4] :
                      ( sdtmndtplgtdt0(X4,xR,X3)
                      & aReductOfIn0(X4,X2,xR)
                      & aElement0(X4) )
                  | aReductOfIn0(X3,X2,xR) ) )
              | X2 = X3 )
            & sdtmndtasgtdt0(X1,xR,X3)
            & ( ( sdtmndtplgtdt0(X1,xR,X3)
                & ( ? [X4] :
                      ( sdtmndtplgtdt0(X4,xR,X3)
                      & aReductOfIn0(X4,X1,xR)
                      & aElement0(X4) )
                  | aReductOfIn0(X3,X1,xR) ) )
              | X1 = X3 )
            & aElement0(X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).

fof(f22,axiom,
    ( sdtmndtasgtdt0(xv,xR,xw)
    & ( ( sdtmndtplgtdt0(xv,xR,xw)
        & ( ? [X0] :
              ( sdtmndtplgtdt0(X0,xR,xw)
              & aReductOfIn0(X0,xv,xR)
              & aElement0(X0) )
          | aReductOfIn0(xw,xv,xR) ) )
      | xv = xw )
    & sdtmndtasgtdt0(xu,xR,xw)
    & ( ( sdtmndtplgtdt0(xu,xR,xw)
        & ( ? [X0] :
              ( sdtmndtplgtdt0(X0,xR,xw)
              & aReductOfIn0(X0,xu,xR)
              & aElement0(X0) )
          | aReductOfIn0(xw,xu,xR) ) )
      | xu = xw )
    & aElement0(xw) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).

fof(f23,conjecture,
    ? [X0] :
      ( aNormalFormOfIn0(X0,xw,xR)
      | ( ~ ? [X1] : aReductOfIn0(X1,X0,xR)
        & ( sdtmndtasgtdt0(xw,xR,X0)
          | sdtmndtplgtdt0(xw,xR,X0)
          | ? [X1] :
              ( sdtmndtplgtdt0(X1,xR,X0)
              & aReductOfIn0(X1,xw,xR)
              & aElement0(X1) )
          | aReductOfIn0(X0,xw,xR)
          | xw = X0 )
        & aElement0(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f24,negated_conjecture,
    ~ ? [X0] :
        ( aNormalFormOfIn0(X0,xw,xR)
        | ( ~ ? [X1] : aReductOfIn0(X1,X0,xR)
          & ( sdtmndtasgtdt0(xw,xR,X0)
            | sdtmndtplgtdt0(xw,xR,X0)
            | ? [X1] :
                ( sdtmndtplgtdt0(X1,xR,X0)
                & aReductOfIn0(X1,xw,xR)
                & aElement0(X1) )
            | aReductOfIn0(X0,xw,xR)
            | xw = X0 )
          & aElement0(X0) ) ),
    inference(negated_conjecture,[],[f23]) ).

fof(f29,plain,
    ( isTerminating0(xR)
    & ! [X0,X1] :
        ( ( aElement0(X1)
          & aElement0(X0) )
       => ( ( sdtmndtplgtdt0(X0,xR,X1)
            | ? [X2] :
                ( sdtmndtplgtdt0(X2,xR,X1)
                & aReductOfIn0(X2,X0,xR)
                & aElement0(X2) )
            | aReductOfIn0(X1,X0,xR) )
         => iLess0(X1,X0) ) )
    & isLocallyConfluent0(xR)
    & ! [X3,X4,X5] :
        ( ( aReductOfIn0(X5,X3,xR)
          & aReductOfIn0(X4,X3,xR)
          & aElement0(X5)
          & aElement0(X4)
          & aElement0(X3) )
       => ? [X6] :
            ( sdtmndtasgtdt0(X5,xR,X6)
            & ( ( sdtmndtplgtdt0(X5,xR,X6)
                & ( ? [X7] :
                      ( sdtmndtplgtdt0(X7,xR,X6)
                      & aReductOfIn0(X7,X5,xR)
                      & aElement0(X7) )
                  | aReductOfIn0(X6,X5,xR) ) )
              | X5 = X6 )
            & sdtmndtasgtdt0(X4,xR,X6)
            & ( ( sdtmndtplgtdt0(X4,xR,X6)
                & ( ? [X8] :
                      ( sdtmndtplgtdt0(X8,xR,X6)
                      & aReductOfIn0(X8,X4,xR)
                      & aElement0(X8) )
                  | aReductOfIn0(X6,X4,xR) ) )
              | X4 = X6 )
            & aElement0(X6) ) ) ),
    inference(rectify,[],[f16]) ).

fof(f32,plain,
    ( sdtmndtasgtdt0(xv,xR,xw)
    & ( ( sdtmndtplgtdt0(xv,xR,xw)
        & ( ? [X0] :
              ( sdtmndtplgtdt0(X0,xR,xw)
              & aReductOfIn0(X0,xv,xR)
              & aElement0(X0) )
          | aReductOfIn0(xw,xv,xR) ) )
      | xv = xw )
    & sdtmndtasgtdt0(xu,xR,xw)
    & ( ( sdtmndtplgtdt0(xu,xR,xw)
        & ( ? [X1] :
              ( sdtmndtplgtdt0(X1,xR,xw)
              & aReductOfIn0(X1,xu,xR)
              & aElement0(X1) )
          | aReductOfIn0(xw,xu,xR) ) )
      | xu = xw )
    & aElement0(xw) ),
    inference(rectify,[],[f22]) ).

fof(f33,plain,
    ~ ? [X0] :
        ( aNormalFormOfIn0(X0,xw,xR)
        | ( ~ ? [X1] : aReductOfIn0(X1,X0,xR)
          & ( sdtmndtasgtdt0(xw,xR,X0)
            | sdtmndtplgtdt0(xw,xR,X0)
            | ? [X2] :
                ( sdtmndtplgtdt0(X2,xR,X0)
                & aReductOfIn0(X2,xw,xR)
                & aElement0(X2) )
            | aReductOfIn0(X0,xw,xR)
            | xw = X0 )
          & aElement0(X0) ) ),
    inference(rectify,[],[f24]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
          | ~ aElement0(X1) )
      | ~ isTerminating0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
          | ~ aElement0(X1) )
      | ~ isTerminating0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(flattening,[],[f52]) ).

fof(f54,plain,
    ( isTerminating0(xR)
    & ! [X0,X1] :
        ( iLess0(X1,X0)
        | ( ~ sdtmndtplgtdt0(X0,xR,X1)
          & ! [X2] :
              ( ~ sdtmndtplgtdt0(X2,xR,X1)
              | ~ aReductOfIn0(X2,X0,xR)
              | ~ aElement0(X2) )
          & ~ aReductOfIn0(X1,X0,xR) )
        | ~ aElement0(X1)
        | ~ aElement0(X0) )
    & isLocallyConfluent0(xR)
    & ! [X3,X4,X5] :
        ( ? [X6] :
            ( sdtmndtasgtdt0(X5,xR,X6)
            & ( ( sdtmndtplgtdt0(X5,xR,X6)
                & ( ? [X7] :
                      ( sdtmndtplgtdt0(X7,xR,X6)
                      & aReductOfIn0(X7,X5,xR)
                      & aElement0(X7) )
                  | aReductOfIn0(X6,X5,xR) ) )
              | X5 = X6 )
            & sdtmndtasgtdt0(X4,xR,X6)
            & ( ( sdtmndtplgtdt0(X4,xR,X6)
                & ( ? [X8] :
                      ( sdtmndtplgtdt0(X8,xR,X6)
                      & aReductOfIn0(X8,X4,xR)
                      & aElement0(X8) )
                  | aReductOfIn0(X6,X4,xR) ) )
              | X4 = X6 )
            & aElement0(X6) )
        | ~ aReductOfIn0(X5,X3,xR)
        | ~ aReductOfIn0(X4,X3,xR)
        | ~ aElement0(X5)
        | ~ aElement0(X4)
        | ~ aElement0(X3) ) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f55,plain,
    ( isTerminating0(xR)
    & ! [X0,X1] :
        ( iLess0(X1,X0)
        | ( ~ sdtmndtplgtdt0(X0,xR,X1)
          & ! [X2] :
              ( ~ sdtmndtplgtdt0(X2,xR,X1)
              | ~ aReductOfIn0(X2,X0,xR)
              | ~ aElement0(X2) )
          & ~ aReductOfIn0(X1,X0,xR) )
        | ~ aElement0(X1)
        | ~ aElement0(X0) )
    & isLocallyConfluent0(xR)
    & ! [X3,X4,X5] :
        ( ? [X6] :
            ( sdtmndtasgtdt0(X5,xR,X6)
            & ( ( sdtmndtplgtdt0(X5,xR,X6)
                & ( ? [X7] :
                      ( sdtmndtplgtdt0(X7,xR,X6)
                      & aReductOfIn0(X7,X5,xR)
                      & aElement0(X7) )
                  | aReductOfIn0(X6,X5,xR) ) )
              | X5 = X6 )
            & sdtmndtasgtdt0(X4,xR,X6)
            & ( ( sdtmndtplgtdt0(X4,xR,X6)
                & ( ? [X8] :
                      ( sdtmndtplgtdt0(X8,xR,X6)
                      & aReductOfIn0(X8,X4,xR)
                      & aElement0(X8) )
                  | aReductOfIn0(X6,X4,xR) ) )
              | X4 = X6 )
            & aElement0(X6) )
        | ~ aReductOfIn0(X5,X3,xR)
        | ~ aReductOfIn0(X4,X3,xR)
        | ~ aElement0(X5)
        | ~ aElement0(X4)
        | ~ aElement0(X3) ) ),
    inference(flattening,[],[f54]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ aNormalFormOfIn0(X0,xw,xR)
      & ( ? [X1] : aReductOfIn0(X1,X0,xR)
        | ( ~ sdtmndtasgtdt0(xw,xR,X0)
          & ~ sdtmndtplgtdt0(xw,xR,X0)
          & ! [X2] :
              ( ~ sdtmndtplgtdt0(X2,xR,X0)
              | ~ aReductOfIn0(X2,xw,xR)
              | ~ aElement0(X2) )
          & ~ aReductOfIn0(X0,xw,xR)
          & xw != X0 )
        | ~ aElement0(X0) ) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f65,plain,
    ! [X6,X4] :
      ( ( sdtmndtplgtdt0(X4,xR,X6)
        & ( ? [X8] :
              ( sdtmndtplgtdt0(X8,xR,X6)
              & aReductOfIn0(X8,X4,xR)
              & aElement0(X8) )
          | aReductOfIn0(X6,X4,xR) ) )
      | X4 = X6
      | ~ sP4(X6,X4) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f66,plain,
    ( isTerminating0(xR)
    & ! [X0,X1] :
        ( iLess0(X1,X0)
        | ( ~ sdtmndtplgtdt0(X0,xR,X1)
          & ! [X2] :
              ( ~ sdtmndtplgtdt0(X2,xR,X1)
              | ~ aReductOfIn0(X2,X0,xR)
              | ~ aElement0(X2) )
          & ~ aReductOfIn0(X1,X0,xR) )
        | ~ aElement0(X1)
        | ~ aElement0(X0) )
    & isLocallyConfluent0(xR)
    & ! [X3,X4,X5] :
        ( ? [X6] :
            ( sdtmndtasgtdt0(X5,xR,X6)
            & ( ( sdtmndtplgtdt0(X5,xR,X6)
                & ( ? [X7] :
                      ( sdtmndtplgtdt0(X7,xR,X6)
                      & aReductOfIn0(X7,X5,xR)
                      & aElement0(X7) )
                  | aReductOfIn0(X6,X5,xR) ) )
              | X5 = X6 )
            & sdtmndtasgtdt0(X4,xR,X6)
            & sP4(X6,X4)
            & aElement0(X6) )
        | ~ aReductOfIn0(X5,X3,xR)
        | ~ aReductOfIn0(X4,X3,xR)
        | ~ aElement0(X5)
        | ~ aElement0(X4)
        | ~ aElement0(X3) ) ),
    inference(definition_folding,[],[f55,f65]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
     => aNormalFormOfIn0(sK20(X0,X1),X1,X0) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ! [X0] :
      ( ! [X1] :
          ( aNormalFormOfIn0(sK20(X0,X1),X1,X0)
          | ~ aElement0(X1) )
      | ~ isTerminating0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f53,f99]) ).

fof(f105,plain,
    ! [X4,X5] :
      ( ? [X6] :
          ( sdtmndtasgtdt0(X5,xR,X6)
          & ( ( sdtmndtplgtdt0(X5,xR,X6)
              & ( ? [X7] :
                    ( sdtmndtplgtdt0(X7,xR,X6)
                    & aReductOfIn0(X7,X5,xR)
                    & aElement0(X7) )
                | aReductOfIn0(X6,X5,xR) ) )
            | X5 = X6 )
          & sdtmndtasgtdt0(X4,xR,X6)
          & sP4(X6,X4)
          & aElement0(X6) )
     => ( sdtmndtasgtdt0(X5,xR,sK22(X4,X5))
        & ( ( sdtmndtplgtdt0(X5,xR,sK22(X4,X5))
            & ( ? [X7] :
                  ( sdtmndtplgtdt0(X7,xR,sK22(X4,X5))
                  & aReductOfIn0(X7,X5,xR)
                  & aElement0(X7) )
              | aReductOfIn0(sK22(X4,X5),X5,xR) ) )
          | sK22(X4,X5) = X5 )
        & sdtmndtasgtdt0(X4,xR,sK22(X4,X5))
        & sP4(sK22(X4,X5),X4)
        & aElement0(sK22(X4,X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f106,plain,
    ! [X4,X5] :
      ( ? [X7] :
          ( sdtmndtplgtdt0(X7,xR,sK22(X4,X5))
          & aReductOfIn0(X7,X5,xR)
          & aElement0(X7) )
     => ( sdtmndtplgtdt0(sK23(X4,X5),xR,sK22(X4,X5))
        & aReductOfIn0(sK23(X4,X5),X5,xR)
        & aElement0(sK23(X4,X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f107,plain,
    ( isTerminating0(xR)
    & ! [X0,X1] :
        ( iLess0(X1,X0)
        | ( ~ sdtmndtplgtdt0(X0,xR,X1)
          & ! [X2] :
              ( ~ sdtmndtplgtdt0(X2,xR,X1)
              | ~ aReductOfIn0(X2,X0,xR)
              | ~ aElement0(X2) )
          & ~ aReductOfIn0(X1,X0,xR) )
        | ~ aElement0(X1)
        | ~ aElement0(X0) )
    & isLocallyConfluent0(xR)
    & ! [X3,X4,X5] :
        ( ( sdtmndtasgtdt0(X5,xR,sK22(X4,X5))
          & ( ( sdtmndtplgtdt0(X5,xR,sK22(X4,X5))
              & ( ( sdtmndtplgtdt0(sK23(X4,X5),xR,sK22(X4,X5))
                  & aReductOfIn0(sK23(X4,X5),X5,xR)
                  & aElement0(sK23(X4,X5)) )
                | aReductOfIn0(sK22(X4,X5),X5,xR) ) )
            | sK22(X4,X5) = X5 )
          & sdtmndtasgtdt0(X4,xR,sK22(X4,X5))
          & sP4(sK22(X4,X5),X4)
          & aElement0(sK22(X4,X5)) )
        | ~ aReductOfIn0(X5,X3,xR)
        | ~ aReductOfIn0(X4,X3,xR)
        | ~ aElement0(X5)
        | ~ aElement0(X4)
        | ~ aElement0(X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f66,f106,f105]) ).

fof(f126,plain,
    ( ? [X0] :
        ( sdtmndtplgtdt0(X0,xR,xw)
        & aReductOfIn0(X0,xv,xR)
        & aElement0(X0) )
   => ( sdtmndtplgtdt0(sK31,xR,xw)
      & aReductOfIn0(sK31,xv,xR)
      & aElement0(sK31) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ( ? [X1] :
        ( sdtmndtplgtdt0(X1,xR,xw)
        & aReductOfIn0(X1,xu,xR)
        & aElement0(X1) )
   => ( sdtmndtplgtdt0(sK32,xR,xw)
      & aReductOfIn0(sK32,xu,xR)
      & aElement0(sK32) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ( sdtmndtasgtdt0(xv,xR,xw)
    & ( ( sdtmndtplgtdt0(xv,xR,xw)
        & ( ( sdtmndtplgtdt0(sK31,xR,xw)
            & aReductOfIn0(sK31,xv,xR)
            & aElement0(sK31) )
          | aReductOfIn0(xw,xv,xR) ) )
      | xv = xw )
    & sdtmndtasgtdt0(xu,xR,xw)
    & ( ( sdtmndtplgtdt0(xu,xR,xw)
        & ( ( sdtmndtplgtdt0(sK32,xR,xw)
            & aReductOfIn0(sK32,xu,xR)
            & aElement0(sK32) )
          | aReductOfIn0(xw,xu,xR) ) )
      | xu = xw )
    & aElement0(xw) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f32,f127,f126]) ).

fof(f129,plain,
    ! [X0] :
      ( ? [X1] : aReductOfIn0(X1,X0,xR)
     => aReductOfIn0(sK33(X0),X0,xR) ),
    introduced(choice_axiom,[]) ).

fof(f130,plain,
    ! [X0] :
      ( ~ aNormalFormOfIn0(X0,xw,xR)
      & ( aReductOfIn0(sK33(X0),X0,xR)
        | ( ~ sdtmndtasgtdt0(xw,xR,X0)
          & ~ sdtmndtplgtdt0(xw,xR,X0)
          & ! [X2] :
              ( ~ sdtmndtplgtdt0(X2,xR,X0)
              | ~ aReductOfIn0(X2,xw,xR)
              | ~ aElement0(X2) )
          & ~ aReductOfIn0(X0,xw,xR)
          & xw != X0 )
        | ~ aElement0(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f58,f129]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK20(X0,X1),X1,X0)
      | ~ aElement0(X1)
      | ~ isTerminating0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f176,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f15]) ).

fof(f193,plain,
    isTerminating0(xR),
    inference(cnf_transformation,[],[f107]) ).

fof(f241,plain,
    aElement0(xw),
    inference(cnf_transformation,[],[f128]) ).

fof(f257,plain,
    ! [X0] : ~ aNormalFormOfIn0(X0,xw,xR),
    inference(cnf_transformation,[],[f130]) ).

cnf(c_93,plain,
    ( ~ aElement0(X0)
    | ~ aRewritingSystem0(X1)
    | ~ isTerminating0(X1)
    | aNormalFormOfIn0(sK20(X1,X0),X0,X1) ),
    inference(cnf_transformation,[],[f175]) ).

cnf(c_94,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f176]) ).

cnf(c_99,plain,
    isTerminating0(xR),
    inference(cnf_transformation,[],[f193]) ).

cnf(c_169,plain,
    aElement0(xw),
    inference(cnf_transformation,[],[f241]) ).

cnf(c_170,negated_conjecture,
    ~ aNormalFormOfIn0(X0,xw,xR),
    inference(cnf_transformation,[],[f257]) ).

cnf(c_2295,plain,
    ( sK20(X0,X1) != X2
    | X0 != xR
    | X1 != xw
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X0)
    | ~ isTerminating0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_93,c_170]) ).

cnf(c_2296,plain,
    ( ~ aElement0(xw)
    | ~ aRewritingSystem0(xR)
    | ~ isTerminating0(xR) ),
    inference(unflattening,[status(thm)],[c_2295]) ).

cnf(c_2297,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2296,c_94,c_99,c_169]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : COM018+4 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Tue Aug 29 13:00:16 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.86/1.07  % SZS status Started for theBenchmark.p
% 0.86/1.07  % SZS status Theorem for theBenchmark.p
% 0.86/1.07  
% 0.86/1.07  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.86/1.07  
% 0.86/1.07  ------  iProver source info
% 0.86/1.07  
% 0.86/1.07  git: date: 2023-05-31 18:12:56 +0000
% 0.86/1.07  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.86/1.07  git: non_committed_changes: false
% 0.86/1.07  git: last_make_outside_of_git: false
% 0.86/1.07  
% 0.86/1.07  ------ Parsing...
% 0.86/1.07  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.86/1.07  
% 0.86/1.07  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s
% 0.86/1.07  
% 0.86/1.07  % SZS status Theorem for theBenchmark.p
% 0.86/1.07  
% 0.86/1.07  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.86/1.07  
% 0.86/1.07  
%------------------------------------------------------------------------------