TSTP Solution File: PUZ129+2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : PUZ129+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 : Thu Aug 31 13:20:21 EDT 2023

% Result   : Theorem 1.41s 1.16s
% Output   : CNFRefutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   68 (  19 unt;   0 def)
%            Number of atoms       :  396 ( 116 equ)
%            Maximal formula atoms :   36 (   5 avg)
%            Number of connectives :  488 ( 160   ~; 129   |; 158   &)
%                                         (   0 <=>;  41  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-1 aty)
%            Number of variables   :  177 (   0 sgn;  95   !;  64   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ( ! [X16] :
          ( cyclist(X16)
         => ? [X17] :
              ( X16 = X17
              & person(X17) ) )
      & ! [X14] :
          ( grocer(X14)
         => ? [X15] :
              ( X14 = X15
              & person(X15) ) )
      & ! [X12] :
          ( ( property1(X12,honest,pos)
            & person(X12) )
         => ~ ? [X13] :
                ( X12 = X13
                & property1(X13,dishonest,pos) ) )
      & ! [X10] :
          ( ( property1(X10,healthy,pos)
            & person(X10) )
         => ~ ? [X11] :
                ( X10 = X11
                & property1(X11,unhealthy,pos) ) )
      & ! [X8] :
          ( ( property1(X8,unhealthy,pos)
            & cyclist(X8) )
         => ? [X9] :
              ( X8 = X9
              & property1(X9,dishonest,pos) ) )
      & ! [X6] :
          ( cyclist(X6)
         => ? [X7] :
              ( X6 = X7
              & property1(X7,industrious,pos) ) )
      & ! [X4] :
          ( ( property1(X4,industrious,pos)
            & grocer(X4) )
         => ? [X5] :
              ( X4 = X5
              & property1(X5,honest,pos) ) )
      & ! [X2] :
          ( grocer(X2)
         => ~ ? [X3] :
                ( X2 = X3
                & property1(X3,healthy,pos) ) )
      & ! [X0] :
          ( ( property1(X0,industrious,pos)
            & property1(X0,honest,pos)
            & person(X0) )
         => ? [X1] :
              ( X0 = X1
              & property1(X1,healthy,pos) ) ) )
   => ! [X18] :
        ( grocer(X18)
       => ~ ? [X19] :
              ( X18 = X19
              & cyclist(X19) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).

fof(f2,negated_conjecture,
    ~ ( ( ! [X16] :
            ( cyclist(X16)
           => ? [X17] :
                ( X16 = X17
                & person(X17) ) )
        & ! [X14] :
            ( grocer(X14)
           => ? [X15] :
                ( X14 = X15
                & person(X15) ) )
        & ! [X12] :
            ( ( property1(X12,honest,pos)
              & person(X12) )
           => ~ ? [X13] :
                  ( X12 = X13
                  & property1(X13,dishonest,pos) ) )
        & ! [X10] :
            ( ( property1(X10,healthy,pos)
              & person(X10) )
           => ~ ? [X11] :
                  ( X10 = X11
                  & property1(X11,unhealthy,pos) ) )
        & ! [X8] :
            ( ( property1(X8,unhealthy,pos)
              & cyclist(X8) )
           => ? [X9] :
                ( X8 = X9
                & property1(X9,dishonest,pos) ) )
        & ! [X6] :
            ( cyclist(X6)
           => ? [X7] :
                ( X6 = X7
                & property1(X7,industrious,pos) ) )
        & ! [X4] :
            ( ( property1(X4,industrious,pos)
              & grocer(X4) )
           => ? [X5] :
                ( X4 = X5
                & property1(X5,honest,pos) ) )
        & ! [X2] :
            ( grocer(X2)
           => ~ ? [X3] :
                  ( X2 = X3
                  & property1(X3,healthy,pos) ) )
        & ! [X0] :
            ( ( property1(X0,industrious,pos)
              & property1(X0,honest,pos)
              & person(X0) )
           => ? [X1] :
                ( X0 = X1
                & property1(X1,healthy,pos) ) ) )
     => ! [X18] :
          ( grocer(X18)
         => ~ ? [X19] :
                ( X18 = X19
                & cyclist(X19) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ( ( ! [X0] :
            ( cyclist(X0)
           => ? [X1] :
                ( X0 = X1
                & person(X1) ) )
        & ! [X2] :
            ( grocer(X2)
           => ? [X3] :
                ( X2 = X3
                & person(X3) ) )
        & ! [X4] :
            ( ( property1(X4,honest,pos)
              & person(X4) )
           => ~ ? [X5] :
                  ( X4 = X5
                  & property1(X5,dishonest,pos) ) )
        & ! [X6] :
            ( ( property1(X6,healthy,pos)
              & person(X6) )
           => ~ ? [X7] :
                  ( X6 = X7
                  & property1(X7,unhealthy,pos) ) )
        & ! [X8] :
            ( ( property1(X8,unhealthy,pos)
              & cyclist(X8) )
           => ? [X9] :
                ( X8 = X9
                & property1(X9,dishonest,pos) ) )
        & ! [X10] :
            ( cyclist(X10)
           => ? [X11] :
                ( X10 = X11
                & property1(X11,industrious,pos) ) )
        & ! [X12] :
            ( ( property1(X12,industrious,pos)
              & grocer(X12) )
           => ? [X13] :
                ( X12 = X13
                & property1(X13,honest,pos) ) )
        & ! [X14] :
            ( grocer(X14)
           => ~ ? [X15] :
                  ( X14 = X15
                  & property1(X15,healthy,pos) ) )
        & ! [X16] :
            ( ( property1(X16,industrious,pos)
              & property1(X16,honest,pos)
              & person(X16) )
           => ? [X17] :
                ( X16 = X17
                & property1(X17,healthy,pos) ) ) )
     => ! [X18] :
          ( grocer(X18)
         => ~ ? [X19] :
                ( X18 = X19
                & cyclist(X19) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ? [X18] :
        ( ? [X19] :
            ( X18 = X19
            & cyclist(X19) )
        & grocer(X18) )
    & ! [X0] :
        ( ? [X1] :
            ( X0 = X1
            & person(X1) )
        | ~ cyclist(X0) )
    & ! [X2] :
        ( ? [X3] :
            ( X2 = X3
            & person(X3) )
        | ~ grocer(X2) )
    & ! [X4] :
        ( ! [X5] :
            ( X4 != X5
            | ~ property1(X5,dishonest,pos) )
        | ~ property1(X4,honest,pos)
        | ~ person(X4) )
    & ! [X6] :
        ( ! [X7] :
            ( X6 != X7
            | ~ property1(X7,unhealthy,pos) )
        | ~ property1(X6,healthy,pos)
        | ~ person(X6) )
    & ! [X8] :
        ( ? [X9] :
            ( X8 = X9
            & property1(X9,dishonest,pos) )
        | ~ property1(X8,unhealthy,pos)
        | ~ cyclist(X8) )
    & ! [X10] :
        ( ? [X11] :
            ( X10 = X11
            & property1(X11,industrious,pos) )
        | ~ cyclist(X10) )
    & ! [X12] :
        ( ? [X13] :
            ( X12 = X13
            & property1(X13,honest,pos) )
        | ~ property1(X12,industrious,pos)
        | ~ grocer(X12) )
    & ! [X14] :
        ( ! [X15] :
            ( X14 != X15
            | ~ property1(X15,healthy,pos) )
        | ~ grocer(X14) )
    & ! [X16] :
        ( ? [X17] :
            ( X16 = X17
            & property1(X17,healthy,pos) )
        | ~ property1(X16,industrious,pos)
        | ~ property1(X16,honest,pos)
        | ~ person(X16) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ? [X18] :
        ( ? [X19] :
            ( X18 = X19
            & cyclist(X19) )
        & grocer(X18) )
    & ! [X0] :
        ( ? [X1] :
            ( X0 = X1
            & person(X1) )
        | ~ cyclist(X0) )
    & ! [X2] :
        ( ? [X3] :
            ( X2 = X3
            & person(X3) )
        | ~ grocer(X2) )
    & ! [X4] :
        ( ! [X5] :
            ( X4 != X5
            | ~ property1(X5,dishonest,pos) )
        | ~ property1(X4,honest,pos)
        | ~ person(X4) )
    & ! [X6] :
        ( ! [X7] :
            ( X6 != X7
            | ~ property1(X7,unhealthy,pos) )
        | ~ property1(X6,healthy,pos)
        | ~ person(X6) )
    & ! [X8] :
        ( ? [X9] :
            ( X8 = X9
            & property1(X9,dishonest,pos) )
        | ~ property1(X8,unhealthy,pos)
        | ~ cyclist(X8) )
    & ! [X10] :
        ( ? [X11] :
            ( X10 = X11
            & property1(X11,industrious,pos) )
        | ~ cyclist(X10) )
    & ! [X12] :
        ( ? [X13] :
            ( X12 = X13
            & property1(X13,honest,pos) )
        | ~ property1(X12,industrious,pos)
        | ~ grocer(X12) )
    & ! [X14] :
        ( ! [X15] :
            ( X14 != X15
            | ~ property1(X15,healthy,pos) )
        | ~ grocer(X14) )
    & ! [X16] :
        ( ? [X17] :
            ( X16 = X17
            & property1(X17,healthy,pos) )
        | ~ property1(X16,industrious,pos)
        | ~ property1(X16,honest,pos)
        | ~ person(X16) ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( X0 = X1
            & cyclist(X1) )
        & grocer(X0) )
    & ! [X2] :
        ( ? [X3] :
            ( X2 = X3
            & person(X3) )
        | ~ cyclist(X2) )
    & ! [X4] :
        ( ? [X5] :
            ( X4 = X5
            & person(X5) )
        | ~ grocer(X4) )
    & ! [X6] :
        ( ! [X7] :
            ( X6 != X7
            | ~ property1(X7,dishonest,pos) )
        | ~ property1(X6,honest,pos)
        | ~ person(X6) )
    & ! [X8] :
        ( ! [X9] :
            ( X8 != X9
            | ~ property1(X9,unhealthy,pos) )
        | ~ property1(X8,healthy,pos)
        | ~ person(X8) )
    & ! [X10] :
        ( ? [X11] :
            ( X10 = X11
            & property1(X11,dishonest,pos) )
        | ~ property1(X10,unhealthy,pos)
        | ~ cyclist(X10) )
    & ! [X12] :
        ( ? [X13] :
            ( X12 = X13
            & property1(X13,industrious,pos) )
        | ~ cyclist(X12) )
    & ! [X14] :
        ( ? [X15] :
            ( X14 = X15
            & property1(X15,honest,pos) )
        | ~ property1(X14,industrious,pos)
        | ~ grocer(X14) )
    & ! [X16] :
        ( ! [X17] :
            ( X16 != X17
            | ~ property1(X17,healthy,pos) )
        | ~ grocer(X16) )
    & ! [X18] :
        ( ? [X19] :
            ( X18 = X19
            & property1(X19,healthy,pos) )
        | ~ property1(X18,industrious,pos)
        | ~ property1(X18,honest,pos)
        | ~ person(X18) ) ),
    inference(rectify,[],[f5]) ).

fof(f7,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( X0 = X1
            & cyclist(X1) )
        & grocer(X0) )
   => ( ? [X1] :
          ( sK0 = X1
          & cyclist(X1) )
      & grocer(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ( ? [X1] :
        ( sK0 = X1
        & cyclist(X1) )
   => ( sK0 = sK1
      & cyclist(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ! [X2] :
      ( ? [X3] :
          ( X2 = X3
          & person(X3) )
     => ( sK2(X2) = X2
        & person(sK2(X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ! [X4] :
      ( ? [X5] :
          ( X4 = X5
          & person(X5) )
     => ( sK3(X4) = X4
        & person(sK3(X4)) ) ),
    introduced(choice_axiom,[]) ).

fof(f11,plain,
    ! [X10] :
      ( ? [X11] :
          ( X10 = X11
          & property1(X11,dishonest,pos) )
     => ( sK4(X10) = X10
        & property1(sK4(X10),dishonest,pos) ) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ! [X12] :
      ( ? [X13] :
          ( X12 = X13
          & property1(X13,industrious,pos) )
     => ( sK5(X12) = X12
        & property1(sK5(X12),industrious,pos) ) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ! [X14] :
      ( ? [X15] :
          ( X14 = X15
          & property1(X15,honest,pos) )
     => ( sK6(X14) = X14
        & property1(sK6(X14),honest,pos) ) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ! [X18] :
      ( ? [X19] :
          ( X18 = X19
          & property1(X19,healthy,pos) )
     => ( sK7(X18) = X18
        & property1(sK7(X18),healthy,pos) ) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ( sK0 = sK1
    & cyclist(sK1)
    & grocer(sK0)
    & ! [X2] :
        ( ( sK2(X2) = X2
          & person(sK2(X2)) )
        | ~ cyclist(X2) )
    & ! [X4] :
        ( ( sK3(X4) = X4
          & person(sK3(X4)) )
        | ~ grocer(X4) )
    & ! [X6] :
        ( ! [X7] :
            ( X6 != X7
            | ~ property1(X7,dishonest,pos) )
        | ~ property1(X6,honest,pos)
        | ~ person(X6) )
    & ! [X8] :
        ( ! [X9] :
            ( X8 != X9
            | ~ property1(X9,unhealthy,pos) )
        | ~ property1(X8,healthy,pos)
        | ~ person(X8) )
    & ! [X10] :
        ( ( sK4(X10) = X10
          & property1(sK4(X10),dishonest,pos) )
        | ~ property1(X10,unhealthy,pos)
        | ~ cyclist(X10) )
    & ! [X12] :
        ( ( sK5(X12) = X12
          & property1(sK5(X12),industrious,pos) )
        | ~ cyclist(X12) )
    & ! [X14] :
        ( ( sK6(X14) = X14
          & property1(sK6(X14),honest,pos) )
        | ~ property1(X14,industrious,pos)
        | ~ grocer(X14) )
    & ! [X16] :
        ( ! [X17] :
            ( X16 != X17
            | ~ property1(X17,healthy,pos) )
        | ~ grocer(X16) )
    & ! [X18] :
        ( ( sK7(X18) = X18
          & property1(sK7(X18),healthy,pos) )
        | ~ property1(X18,industrious,pos)
        | ~ property1(X18,honest,pos)
        | ~ person(X18) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f6,f14,f13,f12,f11,f10,f9,f8,f7]) ).

fof(f16,plain,
    ! [X18] :
      ( property1(sK7(X18),healthy,pos)
      | ~ property1(X18,industrious,pos)
      | ~ property1(X18,honest,pos)
      | ~ person(X18) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f17,plain,
    ! [X18] :
      ( sK7(X18) = X18
      | ~ property1(X18,industrious,pos)
      | ~ property1(X18,honest,pos)
      | ~ person(X18) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f18,plain,
    ! [X16,X17] :
      ( X16 != X17
      | ~ property1(X17,healthy,pos)
      | ~ grocer(X16) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f19,plain,
    ! [X14] :
      ( property1(sK6(X14),honest,pos)
      | ~ property1(X14,industrious,pos)
      | ~ grocer(X14) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f20,plain,
    ! [X14] :
      ( sK6(X14) = X14
      | ~ property1(X14,industrious,pos)
      | ~ grocer(X14) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f21,plain,
    ! [X12] :
      ( property1(sK5(X12),industrious,pos)
      | ~ cyclist(X12) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f22,plain,
    ! [X12] :
      ( sK5(X12) = X12
      | ~ cyclist(X12) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f27,plain,
    ! [X4] :
      ( person(sK3(X4))
      | ~ grocer(X4) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f28,plain,
    ! [X4] :
      ( sK3(X4) = X4
      | ~ grocer(X4) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f31,plain,
    grocer(sK0),
    inference(cnf_transformation,[],[f15]) ).

fof(f32,plain,
    cyclist(sK1),
    inference(cnf_transformation,[],[f15]) ).

fof(f33,plain,
    sK0 = sK1,
    inference(cnf_transformation,[],[f15]) ).

fof(f34,plain,
    grocer(sK1),
    inference(definition_unfolding,[],[f31,f33]) ).

fof(f37,plain,
    ! [X17] :
      ( ~ property1(X17,healthy,pos)
      | ~ grocer(X17) ),
    inference(equality_resolution,[],[f18]) ).

cnf(c_49,negated_conjecture,
    cyclist(sK1),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_50,negated_conjecture,
    grocer(sK1),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_53,negated_conjecture,
    ( ~ grocer(X0)
    | sK3(X0) = X0 ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_54,negated_conjecture,
    ( ~ grocer(X0)
    | person(sK3(X0)) ),
    inference(cnf_transformation,[],[f27]) ).

cnf(c_59,negated_conjecture,
    ( ~ cyclist(X0)
    | sK5(X0) = X0 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_60,negated_conjecture,
    ( ~ cyclist(X0)
    | property1(sK5(X0),industrious,pos) ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_61,negated_conjecture,
    ( ~ property1(X0,industrious,pos)
    | ~ grocer(X0)
    | sK6(X0) = X0 ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_62,negated_conjecture,
    ( ~ property1(X0,industrious,pos)
    | ~ grocer(X0)
    | property1(sK6(X0),honest,pos) ),
    inference(cnf_transformation,[],[f19]) ).

cnf(c_63,negated_conjecture,
    ( ~ property1(X0,healthy,pos)
    | ~ grocer(X0) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_64,negated_conjecture,
    ( ~ property1(X0,honest,pos)
    | ~ property1(X0,industrious,pos)
    | ~ person(X0)
    | sK7(X0) = X0 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_65,negated_conjecture,
    ( ~ property1(X0,honest,pos)
    | ~ property1(X0,industrious,pos)
    | ~ person(X0)
    | property1(sK7(X0),healthy,pos) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_250,plain,
    ( X0 != sK1
    | ~ property1(X0,healthy,pos) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_63]) ).

cnf(c_251,plain,
    ~ property1(sK1,healthy,pos),
    inference(unflattening,[status(thm)],[c_250]) ).

cnf(c_255,plain,
    ( X0 != sK1
    | ~ property1(X0,industrious,pos)
    | property1(sK6(X0),honest,pos) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_62]) ).

cnf(c_256,plain,
    ( ~ property1(sK1,industrious,pos)
    | property1(sK6(sK1),honest,pos) ),
    inference(unflattening,[status(thm)],[c_255]) ).

cnf(c_263,plain,
    ( X0 != sK1
    | ~ property1(X0,industrious,pos)
    | sK6(X0) = X0 ),
    inference(resolution_lifted,[status(thm)],[c_50,c_61]) ).

cnf(c_264,plain,
    ( ~ property1(sK1,industrious,pos)
    | sK6(sK1) = sK1 ),
    inference(unflattening,[status(thm)],[c_263]) ).

cnf(c_271,plain,
    ( X0 != sK1
    | person(sK3(X0)) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_54]) ).

cnf(c_272,plain,
    person(sK3(sK1)),
    inference(unflattening,[status(thm)],[c_271]) ).

cnf(c_276,plain,
    ( X0 != sK1
    | sK3(X0) = X0 ),
    inference(resolution_lifted,[status(thm)],[c_50,c_53]) ).

cnf(c_277,plain,
    sK3(sK1) = sK1,
    inference(unflattening,[status(thm)],[c_276]) ).

cnf(c_288,plain,
    ( X0 != sK1
    | property1(sK5(X0),industrious,pos) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_60]) ).

cnf(c_289,plain,
    property1(sK5(sK1),industrious,pos),
    inference(unflattening,[status(thm)],[c_288]) ).

cnf(c_293,plain,
    ( X0 != sK1
    | sK5(X0) = X0 ),
    inference(resolution_lifted,[status(thm)],[c_49,c_59]) ).

cnf(c_294,plain,
    sK5(sK1) = sK1,
    inference(unflattening,[status(thm)],[c_293]) ).

cnf(c_332,plain,
    ( sK3(sK1) != X0
    | ~ property1(X0,honest,pos)
    | ~ property1(X0,industrious,pos)
    | property1(sK7(X0),healthy,pos) ),
    inference(resolution_lifted,[status(thm)],[c_65,c_272]) ).

cnf(c_333,plain,
    ( ~ property1(sK3(sK1),honest,pos)
    | ~ property1(sK3(sK1),industrious,pos)
    | property1(sK7(sK3(sK1)),healthy,pos) ),
    inference(unflattening,[status(thm)],[c_332]) ).

cnf(c_343,plain,
    ( sK3(sK1) != X0
    | ~ property1(X0,honest,pos)
    | ~ property1(X0,industrious,pos)
    | sK7(X0) = X0 ),
    inference(resolution_lifted,[status(thm)],[c_64,c_272]) ).

cnf(c_344,plain,
    ( ~ property1(sK3(sK1),honest,pos)
    | ~ property1(sK3(sK1),industrious,pos)
    | sK7(sK3(sK1)) = sK3(sK1) ),
    inference(unflattening,[status(thm)],[c_343]) ).

cnf(c_664,plain,
    property1(sK1,industrious,pos),
    inference(light_normalisation,[status(thm)],[c_289,c_294]) ).

cnf(c_665,plain,
    property1(sK6(sK1),honest,pos),
    inference(forward_subsumption_resolution,[status(thm)],[c_256,c_664]) ).

cnf(c_666,plain,
    sK6(sK1) = sK1,
    inference(forward_subsumption_resolution,[status(thm)],[c_264,c_664]) ).

cnf(c_667,plain,
    property1(sK1,honest,pos),
    inference(demodulation,[status(thm)],[c_665,c_666]) ).

cnf(c_679,plain,
    ( ~ property1(sK1,honest,pos)
    | ~ property1(sK1,industrious,pos)
    | property1(sK7(sK1),healthy,pos) ),
    inference(light_normalisation,[status(thm)],[c_333,c_277]) ).

cnf(c_680,plain,
    property1(sK7(sK1),healthy,pos),
    inference(forward_subsumption_resolution,[status(thm)],[c_679,c_664,c_667]) ).

cnf(c_682,plain,
    ( ~ property1(sK1,honest,pos)
    | ~ property1(sK1,industrious,pos)
    | sK7(sK1) = sK1 ),
    inference(light_normalisation,[status(thm)],[c_344,c_277]) ).

cnf(c_683,plain,
    sK7(sK1) = sK1,
    inference(forward_subsumption_resolution,[status(thm)],[c_682,c_664,c_667]) ).

cnf(c_684,plain,
    property1(sK1,healthy,pos),
    inference(demodulation,[status(thm)],[c_680,c_683]) ).

cnf(c_685,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_684,c_251]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : PUZ129+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 22:06:53 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.41/1.16  % SZS status Started for theBenchmark.p
% 1.41/1.16  % SZS status Theorem for theBenchmark.p
% 1.41/1.16  
% 1.41/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.41/1.16  
% 1.41/1.16  ------  iProver source info
% 1.41/1.16  
% 1.41/1.16  git: date: 2023-05-31 18:12:56 +0000
% 1.41/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.41/1.16  git: non_committed_changes: false
% 1.41/1.16  git: last_make_outside_of_git: false
% 1.41/1.16  
% 1.41/1.16  ------ Parsing...
% 1.41/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.41/1.16  
% 1.41/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e 
% 1.41/1.16  
% 1.41/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.41/1.16  
% 1.41/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.41/1.16  ------ Proving...
% 1.41/1.16  ------ Problem Properties 
% 1.41/1.16  
% 1.41/1.16  
% 1.41/1.16  clauses                                 17
% 1.41/1.16  conjectures                             0
% 1.41/1.16  EPR                                     1
% 1.41/1.16  Horn                                    17
% 1.41/1.16  unary                                   5
% 1.41/1.16  binary                                  8
% 1.41/1.16  lits                                    33
% 1.41/1.16  lits eq                                 7
% 1.41/1.16  fd_pure                                 0
% 1.41/1.16  fd_pseudo                               0
% 1.41/1.16  fd_cond                                 0
% 1.41/1.16  fd_pseudo_cond                          0
% 1.41/1.16  AC symbols                              0
% 1.41/1.16  
% 1.41/1.16  ------ Schedule dynamic 5 is on 
% 1.41/1.16  
% 1.41/1.16  ------ no conjectures: strip conj schedule 
% 1.41/1.16  
% 1.41/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.41/1.16  
% 1.41/1.16  
% 1.41/1.16  ------ 
% 1.41/1.16  Current options:
% 1.41/1.16  ------ 
% 1.41/1.16  
% 1.41/1.16  
% 1.41/1.16  
% 1.41/1.16  
% 1.41/1.16  ------ Proving...
% 1.41/1.16  
% 1.41/1.16  
% 1.41/1.16  % SZS status Theorem for theBenchmark.p
% 1.41/1.16  
% 1.41/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.41/1.16  
% 1.41/1.17  
%------------------------------------------------------------------------------