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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : PUZ129+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n001.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 02:33:00 PM UTC 2026

% Result   : Theorem 1.33s 1.27s
% Output   : CNFRefutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   73 (  29 unt;   4 def)
%            Number of atoms       :  378 (  99 equ)
%            Maximal formula atoms :   36 (   5 avg)
%            Number of connectives :  432 ( 161   ~; 133   |; 116   &)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-1 aty)
%            Number of variables   :  141 (   0 sgn  97   !;  44   ?;  18   :)

% 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,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ! [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(ennf_transformation,[],[f2]) ).

fof(f4,plain,
    ( ! [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(flattening,[],[f3]) ).

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

fof(f6,plain,
    ( ! [X18] :
        ( ~ cyclist(X18)
        | ( sK7(X18) = X18
          & person(sK7(X18)) ) )
    & ! [X16] :
        ( ~ grocer(X16)
        | ( sK6(X16) = X16
          & person(sK6(X16)) ) )
    & ! [X14] :
        ( ~ property1(X14,honest,pos)
        | ~ person(X14)
        | ! [X15] :
            ( X14 != X15
            | ~ property1(X15,dishonest,pos) ) )
    & ! [X12] :
        ( ~ property1(X12,healthy,pos)
        | ~ person(X12)
        | ! [X13] :
            ( X12 != X13
            | ~ property1(X13,unhealthy,pos) ) )
    & ! [X10] :
        ( ~ property1(X10,unhealthy,pos)
        | ~ cyclist(X10)
        | ( sK5(X10) = X10
          & property1(sK5(X10),dishonest,pos) ) )
    & ! [X8] :
        ( ~ cyclist(X8)
        | ( sK4(X8) = X8
          & property1(sK4(X8),industrious,pos) ) )
    & ! [X6] :
        ( ~ property1(X6,industrious,pos)
        | ~ grocer(X6)
        | ( sK3(X6) = X6
          & property1(sK3(X6),honest,pos) ) )
    & ! [X4] :
        ( ~ grocer(X4)
        | ! [X5] :
            ( X4 != X5
            | ~ property1(X5,healthy,pos) ) )
    & ! [X2] :
        ( ~ property1(X2,industrious,pos)
        | ~ property1(X2,honest,pos)
        | ~ person(X2)
        | ( sK2(X2) = X2
          & property1(sK2(X2),healthy,pos) ) )
    & grocer(sK0)
    & sK0 = sK1
    & cyclist(sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X3,sK2(X2)),skolemize(X7,sK3(X6)),skolemize(X9,sK4(X8)),skolemize(X11,sK5(X10)),skolemize(X17,sK6(X16)),skolemize(X19,sK7(X18))],[f5]) ).

fof(f7,plain,
    ! [X18] :
      ( ~ cyclist(X18)
      | sK7(X18) = X18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f8,plain,
    ! [X18] :
      ( ~ cyclist(X18)
      | person(sK7(X18)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f15,plain,
    ! [X8] :
      ( ~ cyclist(X8)
      | sK4(X8) = X8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ! [X8] :
      ( ~ cyclist(X8)
      | property1(sK4(X8),industrious,pos) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ! [X6] :
      ( ~ property1(X6,industrious,pos)
      | ~ grocer(X6)
      | sK3(X6) = X6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ! [X6] :
      ( ~ property1(X6,industrious,pos)
      | ~ grocer(X6)
      | property1(sK3(X6),honest,pos) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f19,plain,
    ! [X4,X5] :
      ( ~ grocer(X4)
      | X4 != X5
      | ~ property1(X5,healthy,pos) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ! [X2] :
      ( ~ property1(X2,industrious,pos)
      | ~ property1(X2,honest,pos)
      | ~ person(X2)
      | sK2(X2) = X2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ! [X2] :
      ( ~ property1(X2,industrious,pos)
      | ~ property1(X2,honest,pos)
      | ~ person(X2)
      | property1(sK2(X2),healthy,pos) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    grocer(sK0),
    inference(cnf_transformation,[],[f6]) ).

fof(f23,plain,
    sK0 = sK1,
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    cyclist(sK1),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    grocer(sK1),
    inference(definition_unfolding,[],[f22,f23]) ).

fof(f26,plain,
    ! [X5] :
      ( ~ grocer(X5)
      | ~ property1(X5,healthy,pos) ),
    inference(equality_resolution,[],[f19]) ).

tcf(c_49,negated_conjecture,
    cyclist(sK1),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_50,negated_conjecture,
    grocer(sK1),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_51,negated_conjecture,
    ! [X0: $i] :
      ( property1(sK2(X0),healthy,pos)
      | ~ person(X0)
      | ~ property1(X0,industrious,pos)
      | ~ property1(X0,honest,pos) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_52,negated_conjecture,
    ! [X0: $i] :
      ( ( sK2(X0) = X0 )
      | ~ person(X0)
      | ~ property1(X0,industrious,pos)
      | ~ property1(X0,honest,pos) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_53,negated_conjecture,
    ! [X0: $i] :
      ( ~ grocer(X0)
      | ~ property1(X0,healthy,pos) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_54,negated_conjecture,
    ! [X0: $i] :
      ( property1(sK3(X0),honest,pos)
      | ~ grocer(X0)
      | ~ property1(X0,industrious,pos) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_55,negated_conjecture,
    ! [X0: $i] :
      ( ( sK3(X0) = X0 )
      | ~ grocer(X0)
      | ~ property1(X0,industrious,pos) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_56,negated_conjecture,
    ! [X0: $i] :
      ( property1(sK4(X0),industrious,pos)
      | ~ cyclist(X0) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_57,negated_conjecture,
    ! [X0: $i] :
      ( ( sK4(X0) = X0 )
      | ~ cyclist(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_64,negated_conjecture,
    ! [X0: $i] :
      ( person(sK7(X0))
      | ~ cyclist(X0) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_65,negated_conjecture,
    ! [X0: $i] :
      ( ( sK7(X0) = X0 )
      | ~ cyclist(X0) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_260,plain,
    ! [X0: $i] :
      ( ( sK3(X0) = X0 )
      | ~ property1(X0,industrious,pos)
      | ( X0 != sK1 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_55]) ).

tcf(c_261,plain,
    ( ( sK3(sK1) = sK1 )
    | ~ property1(sK1,industrious,pos) ),
    inference(unflattening,[status(thm)],[c_260]) ).

tcf(c_268,plain,
    ! [X0: $i] :
      ( property1(sK3(X0),honest,pos)
      | ~ property1(X0,industrious,pos)
      | ( X0 != sK1 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_54]) ).

tcf(c_269,plain,
    ( property1(sK3(sK1),honest,pos)
    | ~ property1(sK1,industrious,pos) ),
    inference(unflattening,[status(thm)],[c_268]) ).

tcf(c_276,plain,
    ! [X0: $i] :
      ( ~ property1(X0,healthy,pos)
      | ( X0 != sK1 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_53]) ).

tcf(c_277,plain,
    ~ property1(sK1,healthy,pos),
    inference(unflattening,[status(thm)],[c_276]) ).

tcf(c_288,plain,
    ! [X0: $i] :
      ( ( sK7(X0) = X0 )
      | ( X0 != sK1 ) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_65]) ).

tcf(c_289,plain,
    sK7(sK1) = sK1,
    inference(unflattening,[status(thm)],[c_288]) ).

tcf(c_293,plain,
    ! [X0: $i] :
      ( person(sK7(X0))
      | ( X0 != sK1 ) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_64]) ).

tcf(c_294,plain,
    person(sK7(sK1)),
    inference(unflattening,[status(thm)],[c_293]) ).

tcf(c_314,plain,
    ! [X0: $i] :
      ( ( sK4(X0) = X0 )
      | ( X0 != sK1 ) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_57]) ).

tcf(c_315,plain,
    sK4(sK1) = sK1,
    inference(unflattening,[status(thm)],[c_314]) ).

tcf(c_319,plain,
    ! [X0: $i] :
      ( property1(sK4(X0),industrious,pos)
      | ( X0 != sK1 ) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_56]) ).

tcf(c_320,plain,
    property1(sK4(sK1),industrious,pos),
    inference(unflattening,[status(thm)],[c_319]) ).

tcf(c_386,plain,
    ! [X0: $i] :
      ( ( sK2(X0) = X0 )
      | ~ property1(X0,industrious,pos)
      | ~ property1(X0,honest,pos)
      | ( sK7(sK1) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_294]) ).

tcf(c_387,plain,
    ( ( sK2(sK7(sK1)) = sK7(sK1) )
    | ~ property1(sK7(sK1),industrious,pos)
    | ~ property1(sK7(sK1),honest,pos) ),
    inference(unflattening,[status(thm)],[c_386]) ).

tcf(c_397,plain,
    ! [X0: $i] :
      ( property1(sK2(X0),healthy,pos)
      | ~ property1(X0,industrious,pos)
      | ~ property1(X0,honest,pos)
      | ( sK7(sK1) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_294]) ).

tcf(c_398,plain,
    ( property1(sK2(sK7(sK1)),healthy,pos)
    | ~ property1(sK7(sK1),industrious,pos)
    | ~ property1(sK7(sK1),honest,pos) ),
    inference(unflattening,[status(thm)],[c_397]) ).

tcf(c_428,definition,
    iPr_def_10 = sK7(sK1),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_429,definition,
    iPr_def_11 = sK2(iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_432,definition,
    iPr_def_14 = sK4(sK1),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_434,definition,
    iPr_def_16 = sK3(sK1),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_435,plain,
    ( property1(iPr_def_11,healthy,pos)
    | ~ property1(iPr_def_10,industrious,pos)
    | ~ property1(iPr_def_10,honest,pos) ),
    inference(demodulation,[status(thm)],[c_398,c_429,c_428]) ).

tcf(c_436,plain,
    ( ( iPr_def_11 = iPr_def_10 )
    | ~ property1(iPr_def_10,industrious,pos)
    | ~ property1(iPr_def_10,honest,pos) ),
    inference(demodulation,[status(thm)],[c_387]) ).

tcf(c_443,plain,
    property1(iPr_def_14,industrious,pos),
    inference(demodulation,[status(thm)],[c_320,c_432]) ).

tcf(c_444,plain,
    iPr_def_14 = sK1,
    inference(demodulation,[status(thm)],[c_315]) ).

tcf(c_447,plain,
    iPr_def_10 = sK1,
    inference(demodulation,[status(thm)],[c_289]) ).

tcf(c_448,plain,
    ~ property1(sK1,healthy,pos),
    inference(demodulation,[status(thm)],[c_277]) ).

tcf(c_449,plain,
    ( property1(iPr_def_16,honest,pos)
    | ~ property1(sK1,industrious,pos) ),
    inference(demodulation,[status(thm)],[c_269,c_434]) ).

tcf(c_450,plain,
    ( ( iPr_def_16 = sK1 )
    | ~ property1(sK1,industrious,pos) ),
    inference(demodulation,[status(thm)],[c_261]) ).

tcf(c_716,plain,
    iPr_def_10 = iPr_def_14,
    inference(demodulation,[status(thm)],[c_444,c_447]) ).

tcf(c_717,plain,
    property1(iPr_def_10,industrious,pos),
    inference(demodulation,[status(thm)],[c_443,c_716]) ).

tcf(c_719,plain,
    ~ property1(iPr_def_10,healthy,pos),
    inference(demodulation,[status(thm)],[c_448,c_447]) ).

tcf(c_730,plain,
    ( property1(iPr_def_16,honest,pos)
    | ~ property1(iPr_def_10,industrious,pos) ),
    inference(demodulation,[status(thm)],[c_449,c_447]) ).

tcf(c_743,plain,
    property1(iPr_def_16,honest,pos),
    inference(backward_subsumption_resolution,[status(thm)],[c_730,c_717]) ).

tcf(c_746,plain,
    ( ( iPr_def_10 = iPr_def_16 )
    | ~ property1(iPr_def_10,industrious,pos) ),
    inference(demodulation,[status(thm)],[c_450,c_447]) ).

tcf(c_747,plain,
    iPr_def_10 = iPr_def_16,
    inference(forward_subsumption_resolution,[status(thm)],[c_746,c_717]) ).

tcf(c_749,plain,
    property1(iPr_def_10,honest,pos),
    inference(demodulation,[status(thm)],[c_743,c_747]) ).

tcf(c_754,plain,
    property1(iPr_def_11,healthy,pos),
    inference(global_subsumption_just,[status(thm)],[c_435,c_435,c_717,c_749]) ).

tcf(c_756,plain,
    iPr_def_11 = iPr_def_10,
    inference(global_subsumption_just,[status(thm)],[c_436,c_436,c_717,c_749]) ).

tcf(c_758,plain,
    property1(iPr_def_10,healthy,pos),
    inference(demodulation,[status(thm)],[c_754,c_756]) ).

tcf(c_761,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_758,c_719]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ129+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n001.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Thu Sep 24 07:05:06 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41  
% 0.13/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41  
% 0.13/0.41  % Detected problem language: tptp
% 0.13/0.42  % Proving...
% 1.33/1.27  % SZS status Started for theBenchmark.p
% 1.33/1.27  % SZS status Theorem for theBenchmark.p
% 1.33/1.27  
% 1.33/1.27  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.33/1.27  
% 1.33/1.27  % ------  iProver source info
% 1.33/1.27  
% 1.33/1.27  % git: date: 2026-07-19 20:42:38 +0200
% 1.33/1.27  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.33/1.27  % git: non_committed_changes: false
% 1.33/1.27  
% 1.33/1.27  % ------ Parsing...
% 1.33/1.27  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.33/1.27  
% 1.33/1.27  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e % 
% 1.33/1.27  
% 1.33/1.27  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.33/1.27  
% 1.33/1.27  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.33/1.27  % ------ Proving...
% 1.33/1.27  % ------ Problem Properties 
% 1.33/1.27  
% 1.33/1.27  % 
% 1.33/1.27  % clauses                               24
% 1.33/1.27  % conjectures                           0
% 1.33/1.27  % EPR                                   17
% 1.33/1.27  % Horn                                  24
% 1.33/1.27  % unary                                 12
% 1.33/1.27  % binary                                8
% 1.33/1.27  % lits                                  40
% 1.33/1.27  % lits eq                               14
% 1.33/1.27  % fd_pure                               0
% 1.33/1.27  % fd_pseudo                             0
% 1.33/1.27  % fd_cond                               0
% 1.33/1.27  % fd_pseudo_cond                        0
% 1.33/1.27  % AC symbols                            0
% 1.33/1.27  
% 1.33/1.27  % ------ Schedule dynamic 5 is on 
% 1.33/1.27  
% 1.33/1.27  % ------ no conjectures: strip conj schedule 
% 1.33/1.27  
% 1.33/1.27  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.33/1.27  
% 1.33/1.27  
% 1.33/1.27  % ------ 
% 1.33/1.27  % Current options:
% 1.33/1.27  % ------ 
% 1.33/1.27  
% 1.33/1.27  
% 1.33/1.27  % 
% 1.33/1.27  
% 1.33/1.27  % ------ Proving...
% 1.33/1.27  % 
% 1.33/1.27  
% 1.33/1.27  % SZS status Theorem for theBenchmark.p
% 1.33/1.27  
% 1.33/1.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.33/1.27  
% 1.33/1.27  
%------------------------------------------------------------------------------