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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWX034+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n017.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 03:32:35 PM UTC 2026

% Result   : Theorem 209.55s 42.68s
% Output   : CNFRefutation 209.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   76 (  24 unt;   0 def)
%            Number of atoms       :  243 (  53 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  267 ( 100   ~; 108   |;  41   &)
%                                         (   2 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 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  :    9 (   6 usr;   4 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :  154 (   0 sgn 134   !;  20   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : '0' != s(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',id1) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( s(X0) = s(X1)
     => X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',id2) ).

fof(f17,axiom,
    ! [X0,X1,X2] :
      ( times_terminates(X0,X1,X2)
    <=> ( ( $true
          | X0 != '0' )
        & $true
        & ! [X3,X4] :
            ( ( ( ( plus_terminates(X1,X4,X2)
                  | times_fails(X3,X1,X4) )
                & times_terminates(X3,X1,X4) )
              | X0 != s(X3) )
            & $true ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',id17) ).

fof(f34,axiom,
    ! [X0,X1,X2] :
      ( nat_succeeds(X0)
     => plus_terminates(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(plus:termination:1)') ).

fof(f57,axiom,
    ( ! [X0] :
        ( ( X0 = '0'
          | ? [X1] :
              ( ! [X2,X3] :
                  ( nat_succeeds(X2)
                 => times_terminates(X1,X2,X3) )
              & nat_succeeds(X1)
              & X0 = s(X1) ) )
       => ! [X2,X3] :
            ( nat_succeeds(X2)
           => times_terminates(X0,X2,X3) ) )
   => ! [X0] :
        ( nat_succeeds(X0)
       => ! [X2,X3] :
            ( nat_succeeds(X2)
           => times_terminates(X0,X2,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction) ).

fof(f58,conjecture,
    ! [X0,X1,X2] :
      ( ( nat_succeeds(X1)
        & nat_succeeds(X0) )
     => times_terminates(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(times:termination)') ).

fof(f59,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( nat_succeeds(X1)
          & nat_succeeds(X0) )
       => times_terminates(X0,X1,X2) ),
    inference(negated_conjecture,[status(cth)],[f58]) ).

fof(f60,plain,
    ( ! [X0] :
        ( ( X0 = '0'
          | ? [X1] :
              ( ! [X2,X3] :
                  ( nat_succeeds(X2)
                 => times_terminates(X1,X2,X3) )
              & nat_succeeds(X1)
              & X0 = s(X1) ) )
       => ! [X4,X5] :
            ( nat_succeeds(X4)
           => times_terminates(X0,X4,X5) ) )
   => ! [X6] :
        ( nat_succeeds(X6)
       => ! [X7,X8] :
            ( nat_succeeds(X7)
           => times_terminates(X6,X7,X8) ) ) ),
    inference(rectify,[],[f57]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( times_terminates(X0,X1,X2)
    <=> ! [X3,X4] :
          ( ( ( plus_terminates(X1,X4,X2)
              | times_fails(X3,X1,X4) )
            & times_terminates(X3,X1,X4) )
          | X0 != s(X3) ) ),
    inference(true_and_false_elimination,[],[f17]) ).

fof(f64,plain,
    ? [X0,X1,X2] :
      ( nat_succeeds(X1)
      & nat_succeeds(X0)
      & ~ times_terminates(X0,X1,X2) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f65,plain,
    ? [X0,X1,X2] :
      ( nat_succeeds(X1)
      & nat_succeeds(X0)
      & ~ times_terminates(X0,X1,X2) ),
    inference(flattening,[],[f64]) ).

fof(f66,plain,
    ( ? [X0] :
        ( ( X0 = '0'
          | ? [X1] :
              ( ! [X2,X3] :
                  ( ~ nat_succeeds(X2)
                  | times_terminates(X1,X2,X3) )
              & nat_succeeds(X1)
              & X0 = s(X1) ) )
        & ? [X4,X5] :
            ( nat_succeeds(X4)
            & ~ times_terminates(X0,X4,X5) ) )
    | ! [X6] :
        ( ~ nat_succeeds(X6)
        | ! [X7,X8] :
            ( ~ nat_succeeds(X7)
            | times_terminates(X6,X7,X8) ) ) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( s(X0) != s(X1)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f2]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( ~ nat_succeeds(X0)
      | plus_terminates(X0,X1,X2) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f97,plain,
    ( nat_succeeds(sK1)
    & nat_succeeds(sK0)
    & ~ times_terminates(sK0,sK1,sK2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f65]) ).

fof(f98,plain,
    ( ? [X3] :
        ( ( '0' = X3
          | ? [X6] :
              ( ! [X7,X8] :
                  ( ~ nat_succeeds(X7)
                  | times_terminates(X6,X7,X8) )
              & nat_succeeds(X6)
              & s(X6) = X3 ) )
        & ? [X4,X5] :
            ( nat_succeeds(X4)
            & ~ times_terminates(X3,X4,X5) ) )
    | ! [X0] :
        ( ~ nat_succeeds(X0)
        | ! [X1,X2] :
            ( ~ nat_succeeds(X1)
            | times_terminates(X0,X1,X2) ) ) ),
    inference(rectify,[],[f66]) ).

fof(f99,plain,
    ( ( ( '0' = sK3
        | ( ! [X7,X8] :
              ( ~ nat_succeeds(X7)
              | times_terminates(sK6,X7,X8) )
          & nat_succeeds(sK6)
          & sK3 = s(sK6) ) )
      & nat_succeeds(sK4)
      & ~ times_terminates(sK3,sK4,sK5) )
    | ! [X0] :
        ( ~ nat_succeeds(X0)
        | ! [X1,X2] :
            ( ~ nat_succeeds(X1)
            | times_terminates(X0,X1,X2) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f98]) ).

fof(f100,plain,
    ! [X0,X1,X2] :
      ( ( ~ times_terminates(X0,X1,X2)
        | ! [X3,X4] :
            ( ( ( plus_terminates(X1,X4,X2)
                | times_fails(X3,X1,X4) )
              & times_terminates(X3,X1,X4) )
            | X0 != s(X3) ) )
      & ( ? [X3,X4] :
            ( ( ( ~ plus_terminates(X1,X4,X2)
                & ~ times_fails(X3,X1,X4) )
              | ~ times_terminates(X3,X1,X4) )
            & s(X3) = X0 )
        | times_terminates(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f101,plain,
    ! [X0,X1,X2] :
      ( ( ~ times_terminates(X0,X1,X2)
        | ! [X5,X6] :
            ( ( ( plus_terminates(X1,X6,X2)
                | times_fails(X5,X1,X6) )
              & times_terminates(X5,X1,X6) )
            | s(X5) != X0 ) )
      & ( ? [X3,X4] :
            ( ( ( ~ plus_terminates(X1,X4,X2)
                & ~ times_fails(X3,X1,X4) )
              | ~ times_terminates(X3,X1,X4) )
            & s(X3) = X0 )
        | times_terminates(X0,X1,X2) ) ),
    inference(rectify,[],[f100]) ).

fof(f102,plain,
    ! [X0,X1,X2] :
      ( ( ~ times_terminates(X0,X1,X2)
        | ! [X5,X6] :
            ( ( ( plus_terminates(X1,X6,X2)
                | times_fails(X5,X1,X6) )
              & times_terminates(X5,X1,X6) )
            | s(X5) != X0 ) )
      & ( ( ( ( ~ plus_terminates(X1,sK8(X0,X1,X2),X2)
              & ~ times_fails(sK7(X0,X1,X2),X1,sK8(X0,X1,X2)) )
            | ~ times_terminates(sK7(X0,X1,X2),X1,sK8(X0,X1,X2)) )
          & s(sK7(X0,X1,X2)) = X0 )
        | times_terminates(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X3,sK7(X0,X1,X2)),skolemize(X4,sK8(X0,X1,X2))],[f101]) ).

fof(f128,plain,
    nat_succeeds(sK1),
    inference(cnf_transformation,[],[f97]) ).

fof(f129,plain,
    nat_succeeds(sK0),
    inference(cnf_transformation,[],[f97]) ).

fof(f130,plain,
    ~ times_terminates(sK0,sK1,sK2),
    inference(cnf_transformation,[],[f97]) ).

fof(f131,plain,
    ! [X2,X0,X1,X8,X7] :
      ( '0' = sK3
      | ~ nat_succeeds(X7)
      | times_terminates(sK6,X7,X8)
      | ~ nat_succeeds(X0)
      | ~ nat_succeeds(X1)
      | times_terminates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f133,plain,
    ! [X2,X0,X1] :
      ( '0' = sK3
      | sK3 = s(sK6)
      | ~ nat_succeeds(X0)
      | ~ nat_succeeds(X1)
      | times_terminates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f134,plain,
    ! [X2,X0,X1] :
      ( nat_succeeds(sK4)
      | ~ nat_succeeds(X0)
      | ~ nat_succeeds(X1)
      | times_terminates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f135,plain,
    ! [X2,X0,X1] :
      ( ~ times_terminates(sK3,sK4,sK5)
      | ~ nat_succeeds(X0)
      | ~ nat_succeeds(X1)
      | times_terminates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f138,plain,
    ! [X2,X0,X1] :
      ( ~ plus_terminates(X1,sK8(X0,X1,X2),X2)
      | ~ times_terminates(sK7(X0,X1,X2),X1,sK8(X0,X1,X2))
      | times_terminates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f140,plain,
    ! [X2,X0,X1] :
      ( s(sK7(X0,X1,X2)) = X0
      | times_terminates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( s(X0) != s(X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f155,plain,
    ! [X0] : '0' != s(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( ~ nat_succeeds(X0)
      | plus_terminates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_49,negated_conjecture,
    ~ times_terminates(sK0,sK1,sK2),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_50,negated_conjecture,
    nat_succeeds(sK0),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_51,negated_conjecture,
    nat_succeeds(sK1),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( times_terminates(X0,X1,X2)
      | ~ nat_succeeds(X1)
      | ~ nat_succeeds(X0)
      | ~ times_terminates(sK3,sK4,sK5) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( nat_succeeds(sK4)
      | times_terminates(X0,X1,X2)
      | ~ nat_succeeds(X1)
      | ~ nat_succeeds(X0) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( times_terminates(X0,X1,X2)
      | ( sK3 = '0' )
      | ( s(sK6) = sK3 )
      | ~ nat_succeeds(X1)
      | ~ nat_succeeds(X0) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( times_terminates(sK6,X2,X4)
      | times_terminates(X0,X1,X3)
      | ( sK3 = '0' )
      | ~ nat_succeeds(X2)
      | ~ nat_succeeds(X1)
      | ~ nat_succeeds(X0) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( times_terminates(X0,X1,X2)
      | ( s(sK7(X0,X1,X2)) = X0 ) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( times_terminates(X0,X1,X2)
      | ~ plus_terminates(X1,sK8(X0,X1,X2),X2)
      | ~ times_terminates(sK7(X0,X1,X2),X1,sK8(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ( s(X0) != s(X1) ) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_76,plain,
    ! [X0: $i] : s(X0) != '0',
    inference(cnf_transformation,[],[f155]) ).

tcf(c_88,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( plus_terminates(X0,X1,X2)
      | ~ nat_succeeds(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_1845,plain,
    ! [X0: $i,X1: $i] :
      ( ~ iPr_def_10
      | ~ nat_succeeds(X0)
      | times_terminates(sK6,X0,X1) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_56]) ).

tcf(c_1846,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ iPr_def_11
      | ~ nat_succeeds(X0)
      | ~ nat_succeeds(X1)
      | times_terminates(X0,X1,X2) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_56]) ).

tcf(c_1847,plain,
    ( iPr_def_11
    | iPr_def_10
    | ( sK3 = '0' ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_56]) ).

tcf(c_1849,plain,
    ( iPr_def_11
    | ( sK3 = '0' )
    | ( s(sK6) = sK3 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_54]) ).

tcf(c_3317,plain,
    ( nat_succeeds(sK4)
    | ~ nat_succeeds(sK1)
    | ~ nat_succeeds(sK0) ),
    inference(superposition,[status(thm)],[c_53,c_49]) ).

tcf(c_3319,plain,
    nat_succeeds(sK4),
    inference(forward_subsumption_resolution,[status(thm)],[c_3317,c_51,c_50]) ).

tcf(c_3661,plain,
    ( times_terminates(sK0,sK1,sK2)
    | ~ nat_succeeds(sK1)
    | ~ nat_succeeds(sK0)
    | ~ times_terminates(sK3,sK4,sK5) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_3875,plain,
    ~ times_terminates(sK3,sK4,sK5),
    inference(global_subsumption_just,[status(thm)],[c_52,c_51,c_50,c_49,c_3661]) ).

tcf(c_3877,plain,
    s(sK7(sK3,sK4,sK5)) = sK3,
    inference(superposition,[status(thm)],[c_57,c_3875]) ).

tcf(c_4264,plain,
    sK3 != '0',
    inference(superposition,[status(thm)],[c_3877,c_76]) ).

tcf(c_4309,plain,
    ( iPr_def_11
    | ( s(sK6) = sK3 ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1849,c_4264]) ).

tcf(c_4311,plain,
    ( iPr_def_11
    | iPr_def_10 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1847,c_4264]) ).

tcf(c_5546,plain,
    ( plus_terminates(sK4,sK8(sK3,sK4,sK5),sK5)
    | ~ nat_succeeds(sK4) ),
    inference(instantiation,[status(thm)],[c_88]) ).

tcf(c_8197,plain,
    ( times_terminates(sK0,sK1,sK2)
    | ~ iPr_def_11
    | ~ nat_succeeds(sK1)
    | ~ nat_succeeds(sK0) ),
    inference(instantiation,[status(thm)],[c_1846]) ).

tcf(c_30388,plain,
    ~ iPr_def_11,
    inference(global_subsumption_just,[status(thm)],[c_1846,c_51,c_50,c_49,c_8197]) ).

tcf(c_30391,plain,
    s(sK6) = sK3,
    inference(backward_subsumption_resolution,[status(thm)],[c_4309,c_30388]) ).

tcf(c_30448,plain,
    ! [X0: $i] :
      ( ( X0 = sK6 )
      | ( s(X0) != sK3 ) ),
    inference(superposition,[status(thm)],[c_30391,c_67]) ).

tcf(c_33982,plain,
    sK7(sK3,sK4,sK5) = sK6,
    inference(superposition,[status(thm)],[c_3877,c_30448]) ).

tcf(c_47787,plain,
    ( times_terminates(sK3,sK4,sK5)
    | ~ plus_terminates(sK4,sK8(sK3,sK4,sK5),sK5)
    | ~ times_terminates(sK6,sK4,sK8(sK3,sK4,sK5)) ),
    inference(superposition,[status(thm)],[c_33982,c_59]) ).

tcf(c_47789,plain,
    ( ~ plus_terminates(sK4,sK8(sK3,sK4,sK5),sK5)
    | ~ times_terminates(sK6,sK4,sK8(sK3,sK4,sK5)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_47787,c_3875]) ).

tcf(c_268198,plain,
    ~ times_terminates(sK3,sK4,sK5),
    inference(global_subsumption_just,[status(thm)],[c_52,c_51,c_50,c_49,c_3661]) ).

tcf(c_268200,plain,
    nat_succeeds(sK4),
    inference(global_subsumption_just,[status(thm)],[c_53,c_3319]) ).

tcf(c_268205,plain,
    s(sK7(sK3,sK4,sK5)) = sK3,
    inference(superposition,[status(thm)],[c_57,c_268198]) ).

tcf(c_268659,plain,
    ! [X0: $i] :
      ( ( sK7(sK3,sK4,sK5) = X0 )
      | ( s(X0) != sK3 ) ),
    inference(superposition,[status(thm)],[c_268205,c_67]) ).

tcf(c_269153,plain,
    ! [X0: $i,X1: $i] :
      ( times_terminates(sK6,X0,X1)
      | ~ nat_succeeds(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1845,c_51,c_50,c_49,c_1845,c_4311,c_8197]) ).

tcf(c_269533,plain,
    s(sK6) = sK3,
    inference(global_subsumption_just,[status(thm)],[c_1849,c_51,c_50,c_49,c_4309,c_8197]) ).

tcf(c_272722,plain,
    sK7(sK3,sK4,sK5) = sK6,
    inference(superposition,[status(thm)],[c_269533,c_268659]) ).

tcf(c_272765,plain,
    ( times_terminates(sK3,sK4,sK5)
    | ~ plus_terminates(sK4,sK8(sK3,sK4,sK5),sK5)
    | ~ times_terminates(sK6,sK4,sK8(sK3,sK4,sK5)) ),
    inference(superposition,[status(thm)],[c_272722,c_59]) ).

tcf(c_272767,plain,
    ( ~ plus_terminates(sK4,sK8(sK3,sK4,sK5),sK5)
    | ~ times_terminates(sK6,sK4,sK8(sK3,sK4,sK5)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_272765,c_268198]) ).

tcf(c_347530,plain,
    ~ times_terminates(sK6,sK4,sK8(sK3,sK4,sK5)),
    inference(global_subsumption_just,[status(thm)],[c_272767,c_3319,c_5546,c_47789]) ).

tcf(c_347539,plain,
    ~ nat_succeeds(sK4),
    inference(superposition,[status(thm)],[c_269153,c_347530]) ).

tcf(c_347542,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_347539,c_268200]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWX034+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/10.40  % Computer : n017.cluster.edu
% 0.12/10.40  % Model    : x86_64 x86_64
% 0.12/10.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.40  % Memory   : 8046.5625MB
% 0.12/10.40  % OS       : Linux 6.8.0-71-generic
% 0.02/10.40  % CPULimit : 300
% 0.02/10.40  % WCLimit  : 300
% 0.02/10.40  % DateTime : Thu Sep 24 23:16:12 UTC 2026
% 0.02/10.40  % CPUTime  : 
% 0.02/10.40  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/10.46  Running first-order theorem proving
% 0.02/10.46  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
% 0.02/10.47  
% 0.02/10.47  % ======== iProver multi-core TPTP/SMT =========
% 0.02/10.47  
% 0.02/10.47  % Detected problem language: tptp
% 0.02/10.49  % Proving...
% 209.55/42.68  % SZS status Started for theBenchmark.p
% 209.55/42.68  % SZS status Theorem for theBenchmark.p
% 209.55/42.68  
% 209.55/42.68  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 209.55/42.68  
% 209.55/42.68  % ------  iProver source info
% 209.55/42.68  
% 209.55/42.68  % git: date: 2026-07-19 20:42:38 +0200
% 209.55/42.68  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 209.55/42.68  % git: non_committed_changes: false
% 209.55/42.68  
% 209.55/42.68  % ------ Parsing...
% 209.55/42.68  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 209.55/42.68  
% 209.55/42.68  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 11 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 209.55/42.68  
% 209.55/42.68  % ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 209.55/42.68  
% 209.55/42.68  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 209.55/42.68  % ------ Proving...
% 209.55/42.68  % ------ Problem Properties 
% 209.55/42.68  
% 209.55/42.68  % 
% 209.55/42.68  % clauses                               71
% 209.55/42.68  % conjectures                           3
% 209.55/42.68  % EPR                                   27
% 209.55/42.68  % Horn                                  34
% 209.55/42.68  % unary                                 9
% 209.55/42.68  % binary                                18
% 209.55/42.68  % lits                                  180
% 209.55/42.68  % lits eq                               50
% 209.55/42.68  % fd_pure                               0
% 209.55/42.68  % fd_pseudo                             0
% 209.55/42.68  % fd_cond                               11
% 209.55/42.68  % fd_pseudo_cond                        4
% 209.55/42.68  % AC symbols                            0
% 209.55/42.68  
% 209.55/42.68  % ------ Schedule dynamic 5 is on 
% 209.55/42.68  
% 209.55/42.68  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 209.55/42.68  
% 209.55/42.68  
% 209.55/42.68  % ------ 
% 209.55/42.68  % Current options:
% 209.55/42.68  % ------ 
% 209.55/42.68  
% 209.55/42.68  
% 209.55/42.68  % 
% 209.55/42.68  
% 209.55/42.68  % ------ Proving...
% 209.55/42.68  % Proof_search_loop: time out after: 4088 full_loop iterations
% 209.55/42.68  
% 209.55/42.68  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 209.55/42.68  
% 209.55/42.68  
% 209.55/42.68  % ------ 
% 209.55/42.68  % Current options:
% 209.55/42.68  % ------ 
% 209.55/42.68  
% 209.55/42.68  
% 209.55/42.68  % 
% 209.55/42.68  
% 209.55/42.68  % ------ Proving...
% 209.55/42.68  % Proof_search_loop: time out after: 6358 full_loop iterations
% 209.55/42.68  
% 209.55/42.68  % ------ Option_1: Negative Selections Time Limit: 35.
% 209.55/42.68  
% 209.55/42.68  
% 209.55/42.68  % ------ 
% 209.55/42.68  % Current options:
% 209.55/42.68  % ------ 
% 209.55/42.68  
% 209.55/42.68  
% 209.55/42.68  % 
% 209.55/42.68  
% 209.55/42.68  % ------ Proving...
% 209.55/42.68  % 
% 209.55/42.68  
% 209.55/42.68  % SZS status Theorem for theBenchmark.p
% 209.55/42.68  
% 209.55/42.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 209.55/42.68  
% 209.55/42.68  
%------------------------------------------------------------------------------