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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU305+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n011.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 02:56:34 PM UTC 2026

% Result   : Theorem 51.09s 7.84s
% Output   : CNFRefutation 51.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   74 (  36 unt;   2 def)
%            Number of atoms       :  296 (  64 equ)
%            Maximal formula atoms :    8 (   4 avg)
%            Number of connectives :  288 ( 116   ~; 119   |;  37   &)
%                                         (   3 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   91 (   0 sgn  85   !;   6   ?;  40   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f19,axiom,
    ! [X0,X1,X2] :
      ( ( element(X2,the_carrier(X0))
        & element(X1,the_carrier(X0))
        & join_semilatt_str(X0)
        & join_commutative(X0)
        & ~ empty_carrier(X0) )
     => join_commut(X0,X1,X2) = join_commut(X0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_lattices) ).

fof(f59,axiom,
    ! [X0] :
      ( ( join_semilatt_str(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ( below(X0,X1,X2)
              <=> join(X0,X1,X2) = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattices) ).

fof(f247,axiom,
    ! [X0,X1,X2] :
      ( ( element(X2,the_carrier(X0))
        & element(X1,the_carrier(X0))
        & join_semilatt_str(X0)
        & join_commutative(X0)
        & ~ empty_carrier(X0) )
     => join_commut(X0,X1,X2) = join(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_lattices) ).

fof(f352,conjecture,
    ! [X0] :
      ( ( join_semilatt_str(X0)
        & join_commutative(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ( ( below(X0,X2,X1)
                  & below(X0,X1,X2) )
               => X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_lattices) ).

fof(f353,negated_conjecture,
    ~ ! [X0] :
        ( ( join_semilatt_str(X0)
          & join_commutative(X0)
          & ~ empty_carrier(X0) )
       => ! [X1] :
            ( element(X1,the_carrier(X0))
           => ! [X2] :
                ( element(X2,the_carrier(X0))
               => ( ( below(X0,X2,X1)
                    & below(X0,X1,X2) )
                 => X1 = X2 ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f352]) ).

fof(f511,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ~ join_semilatt_str(X0)
      | ~ join_commutative(X0)
      | empty_carrier(X0)
      | join_commut(X0,X1,X2) = join_commut(X0,X2,X1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f512,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ~ join_semilatt_str(X0)
      | ~ join_commutative(X0)
      | empty_carrier(X0)
      | join_commut(X0,X1,X2) = join_commut(X0,X2,X1) ),
    inference(flattening,[],[f511]) ).

fof(f548,plain,
    ! [X0] :
      ( ~ join_semilatt_str(X0)
      | empty_carrier(X0)
      | ! [X1] :
          ( ~ element(X1,the_carrier(X0))
          | ! [X2] :
              ( ~ element(X2,the_carrier(X0))
              | ( below(X0,X1,X2)
              <=> join(X0,X1,X2) = X2 ) ) ) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f549,plain,
    ! [X0] :
      ( ~ join_semilatt_str(X0)
      | empty_carrier(X0)
      | ! [X1] :
          ( ~ element(X1,the_carrier(X0))
          | ! [X2] :
              ( ~ element(X2,the_carrier(X0))
              | ( below(X0,X1,X2)
              <=> join(X0,X1,X2) = X2 ) ) ) ),
    inference(flattening,[],[f548]) ).

fof(f688,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ~ join_semilatt_str(X0)
      | ~ join_commutative(X0)
      | empty_carrier(X0)
      | join_commut(X0,X1,X2) = join(X0,X1,X2) ),
    inference(ennf_transformation,[],[f247]) ).

fof(f689,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ~ join_semilatt_str(X0)
      | ~ join_commutative(X0)
      | empty_carrier(X0)
      | join_commut(X0,X1,X2) = join(X0,X1,X2) ),
    inference(flattening,[],[f688]) ).

fof(f837,plain,
    ? [X0] :
      ( join_semilatt_str(X0)
      & join_commutative(X0)
      & ~ empty_carrier(X0)
      & ? [X1] :
          ( element(X1,the_carrier(X0))
          & ? [X2] :
              ( element(X2,the_carrier(X0))
              & below(X0,X2,X1)
              & below(X0,X1,X2)
              & X1 != X2 ) ) ),
    inference(ennf_transformation,[],[f353]) ).

fof(f838,plain,
    ? [X0] :
      ( join_semilatt_str(X0)
      & join_commutative(X0)
      & ~ empty_carrier(X0)
      & ? [X1] :
          ( element(X1,the_carrier(X0))
          & ? [X2] :
              ( element(X2,the_carrier(X0))
              & below(X0,X2,X1)
              & below(X0,X1,X2)
              & X1 != X2 ) ) ),
    inference(flattening,[],[f837]) ).

fof(f1103,plain,
    ! [X0] :
      ( ~ join_semilatt_str(X0)
      | empty_carrier(X0)
      | ! [X1] :
          ( ~ element(X1,the_carrier(X0))
          | ! [X2] :
              ( ~ element(X2,the_carrier(X0))
              | ( ( ~ below(X0,X1,X2)
                  | join(X0,X1,X2) = X2 )
                & ( join(X0,X1,X2) != X2
                  | below(X0,X1,X2) ) ) ) ) ),
    inference(nnf_transformation,[],[f549]) ).

fof(f1428,plain,
    ( join_semilatt_str(sK336)
    & join_commutative(sK336)
    & ~ empty_carrier(sK336)
    & element(sK337,the_carrier(sK336))
    & element(sK338,the_carrier(sK336))
    & below(sK336,sK338,sK337)
    & below(sK336,sK337,sK338)
    & sK337 != sK338 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK336,sK337,sK338]),skolemize(X0,sK336),skolemize(X1,sK337),skolemize(X2,sK338)],[f838]) ).

fof(f1513,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ~ join_semilatt_str(X0)
      | ~ join_commutative(X0)
      | empty_carrier(X0)
      | join_commut(X0,X1,X2) = join_commut(X0,X2,X1) ),
    inference(cnf_transformation,[],[f512]) ).

fof(f1676,plain,
    ! [X2,X0,X1] :
      ( ~ join_semilatt_str(X0)
      | empty_carrier(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | ~ below(X0,X1,X2)
      | join(X0,X1,X2) = X2 ),
    inference(cnf_transformation,[],[f1103]) ).

fof(f2071,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ~ join_semilatt_str(X0)
      | ~ join_commutative(X0)
      | empty_carrier(X0)
      | join_commut(X0,X1,X2) = join(X0,X1,X2) ),
    inference(cnf_transformation,[],[f689]) ).

fof(f2491,plain,
    join_semilatt_str(sK336),
    inference(cnf_transformation,[],[f1428]) ).

fof(f2492,plain,
    join_commutative(sK336),
    inference(cnf_transformation,[],[f1428]) ).

fof(f2493,plain,
    ~ empty_carrier(sK336),
    inference(cnf_transformation,[],[f1428]) ).

fof(f2494,plain,
    element(sK337,the_carrier(sK336)),
    inference(cnf_transformation,[],[f1428]) ).

fof(f2495,plain,
    element(sK338,the_carrier(sK336)),
    inference(cnf_transformation,[],[f1428]) ).

fof(f2496,plain,
    below(sK336,sK338,sK337),
    inference(cnf_transformation,[],[f1428]) ).

fof(f2497,plain,
    below(sK336,sK337,sK338),
    inference(cnf_transformation,[],[f1428]) ).

fof(f2498,plain,
    sK337 != sK338,
    inference(cnf_transformation,[],[f1428]) ).

tcf(c_78,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( empty_carrier(X1)
      | ( join_commut(X1,X0,X2) = join_commut(X1,X2,X0) )
      | ~ join_semilatt_str(X1)
      | ~ join_commutative(X1)
      | ~ element(X2,the_carrier(X1))
      | ~ element(X0,the_carrier(X1)) ),
    inference(cnf_transformation,[],[f1513]) ).

tcf(c_241,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( empty_carrier(X0)
      | ( join(X0,X1,X2) = X2 )
      | ~ join_semilatt_str(X0)
      | ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ~ below(X0,X1,X2) ),
    inference(cnf_transformation,[],[f1676]) ).

tcf(c_634,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( empty_carrier(X1)
      | ( join_commut(X1,X0,X2) = join(X1,X0,X2) )
      | ~ join_semilatt_str(X1)
      | ~ join_commutative(X1)
      | ~ element(X2,the_carrier(X1))
      | ~ element(X0,the_carrier(X1)) ),
    inference(cnf_transformation,[],[f2071]) ).

tcf(c_1054,negated_conjecture,
    sK337 != sK338,
    inference(cnf_transformation,[],[f2498]) ).

tcf(c_1055,negated_conjecture,
    below(sK336,sK337,sK338),
    inference(cnf_transformation,[],[f2497]) ).

tcf(c_1056,negated_conjecture,
    below(sK336,sK338,sK337),
    inference(cnf_transformation,[],[f2496]) ).

tcf(c_1057,negated_conjecture,
    element(sK338,the_carrier(sK336)),
    inference(cnf_transformation,[],[f2495]) ).

tcf(c_1058,negated_conjecture,
    element(sK337,the_carrier(sK336)),
    inference(cnf_transformation,[],[f2494]) ).

tcf(c_1059,negated_conjecture,
    ~ empty_carrier(sK336),
    inference(cnf_transformation,[],[f2493]) ).

tcf(c_1060,negated_conjecture,
    join_commutative(sK336),
    inference(cnf_transformation,[],[f2492]) ).

tcf(c_1061,negated_conjecture,
    join_semilatt_str(sK336),
    inference(cnf_transformation,[],[f2491]) ).

tcf(c_18912,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( empty_carrier(X0)
      | ( join_commut(X0,X1,X2) = join(X0,X1,X2) )
      | ~ join_semilatt_str(X0)
      | ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ( X0 != sK336 ) ),
    inference(resolution_lifted,[status(thm)],[c_634,c_1060]) ).

tcf(c_18913,plain,
    ! [X0: $i,X1: $i] :
      ( empty_carrier(sK336)
      | ( join_commut(sK336,X0,X1) = join(sK336,X0,X1) )
      | ~ join_semilatt_str(sK336)
      | ~ element(X1,the_carrier(sK336))
      | ~ element(X0,the_carrier(sK336)) ),
    inference(unflattening,[status(thm)],[c_18912]) ).

tcf(c_18915,plain,
    ! [X0: $i,X1: $i] :
      ( ~ element(X1,the_carrier(sK336))
      | ~ element(X0,the_carrier(sK336))
      | ( join_commut(sK336,X0,X1) = join(sK336,X0,X1) ) ),
    inference(global_subsumption_just,[status(thm)],[c_18913,c_1061,c_1059,c_18913]) ).

tcf(c_18916,plain,
    ! [X0: $i,X1: $i] :
      ( ( join_commut(sK336,X0,X1) = join(sK336,X0,X1) )
      | ~ element(X1,the_carrier(sK336))
      | ~ element(X0,the_carrier(sK336)) ),
    inference(renaming,[status(thm)],[c_18915]) ).

tcf(c_18942,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( empty_carrier(X0)
      | ( join_commut(X0,X1,X2) = join_commut(X0,X2,X1) )
      | ~ join_semilatt_str(X0)
      | ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ( X0 != sK336 ) ),
    inference(resolution_lifted,[status(thm)],[c_78,c_1060]) ).

tcf(c_18943,plain,
    ! [X0: $i,X1: $i] :
      ( empty_carrier(sK336)
      | ( join_commut(sK336,X0,X1) = join_commut(sK336,X1,X0) )
      | ~ join_semilatt_str(sK336)
      | ~ element(X1,the_carrier(sK336))
      | ~ element(X0,the_carrier(sK336)) ),
    inference(unflattening,[status(thm)],[c_18942]) ).

tcf(c_18945,plain,
    ! [X0: $i,X1: $i] :
      ( ~ element(X1,the_carrier(sK336))
      | ~ element(X0,the_carrier(sK336))
      | ( join_commut(sK336,X0,X1) = join_commut(sK336,X1,X0) ) ),
    inference(global_subsumption_just,[status(thm)],[c_18943,c_1061,c_1059,c_18943]) ).

tcf(c_18946,plain,
    ! [X0: $i,X1: $i] :
      ( ( join_commut(sK336,X0,X1) = join_commut(sK336,X1,X0) )
      | ~ element(X1,the_carrier(sK336))
      | ~ element(X0,the_carrier(sK336)) ),
    inference(renaming,[status(thm)],[c_18945]) ).

tcf(c_19111,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( empty_carrier(X0)
      | ( join(X0,X1,X2) = X2 )
      | ~ join_semilatt_str(X0)
      | ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ( X2 != sK338 )
      | ( X1 != sK337 )
      | ( X0 != sK336 ) ),
    inference(resolution_lifted,[status(thm)],[c_241,c_1055]) ).

tcf(c_19112,plain,
    ( empty_carrier(sK336)
    | ( join(sK336,sK337,sK338) = sK338 )
    | ~ join_semilatt_str(sK336)
    | ~ element(sK338,the_carrier(sK336))
    | ~ element(sK337,the_carrier(sK336)) ),
    inference(unflattening,[status(thm)],[c_19111]) ).

tcf(c_19113,plain,
    join(sK336,sK337,sK338) = sK338,
    inference(global_subsumption_just,[status(thm)],[c_19112,c_1061,c_1059,c_1058,c_1057,c_19112]) ).

tcf(c_19118,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( empty_carrier(X0)
      | ( join(X0,X1,X2) = X2 )
      | ~ join_semilatt_str(X0)
      | ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ( X2 != sK337 )
      | ( X1 != sK338 )
      | ( X0 != sK336 ) ),
    inference(resolution_lifted,[status(thm)],[c_241,c_1056]) ).

tcf(c_19119,plain,
    ( empty_carrier(sK336)
    | ( join(sK336,sK338,sK337) = sK337 )
    | ~ join_semilatt_str(sK336)
    | ~ element(sK338,the_carrier(sK336))
    | ~ element(sK337,the_carrier(sK336)) ),
    inference(unflattening,[status(thm)],[c_19118]) ).

tcf(c_19120,plain,
    join(sK336,sK338,sK337) = sK337,
    inference(global_subsumption_just,[status(thm)],[c_19119,c_1061,c_1059,c_1058,c_1057,c_19119]) ).

tcf(c_116901,definition,
    iPr_def_27 = join(sK336,sK338,sK337),
    introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).

tcf(c_116902,definition,
    iPr_def_28 = join(sK336,sK337,sK338),
    introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).

tcf(c_116911,plain,
    iPr_def_27 = sK337,
    inference(demodulation,[status(thm)],[c_19120,c_116901]) ).

tcf(c_116912,plain,
    iPr_def_28 = sK338,
    inference(demodulation,[status(thm)],[c_19113,c_116902]) ).

tcf(c_116913,plain,
    ! [X0: $i,X1: $i] :
      ( ( join_commut(sK336,X0,X1) = join_commut(sK336,X1,X0) )
      | ~ element(X1,iPr_def_23)
      | ~ element(X0,iPr_def_23) ),
    inference(demodulation,[status(thm)],[c_18946]) ).

tcf(c_116915,plain,
    ! [X0: $i,X1: $i] :
      ( ( join_commut(sK336,X0,X1) = join(sK336,X0,X1) )
      | ~ element(X1,iPr_def_23)
      | ~ element(X0,iPr_def_23) ),
    inference(demodulation,[status(thm)],[c_18916]) ).

tcf(c_116917,negated_conjecture,
    element(sK337,iPr_def_23),
    inference(demodulation,[status(thm)],[c_1058]) ).

tcf(c_116918,negated_conjecture,
    element(sK338,iPr_def_23),
    inference(demodulation,[status(thm)],[c_1057]) ).

tcf(c_116919,negated_conjecture,
    sK337 != sK338,
    inference(demodulation,[status(thm)],[c_1054]) ).

tcf(c_137523,plain,
    element(iPr_def_27,iPr_def_23),
    inference(light_normalisation,[status(thm)],[c_116917,c_116911]) ).

tcf(c_137524,plain,
    element(iPr_def_28,iPr_def_23),
    inference(light_normalisation,[status(thm)],[c_116918,c_116912]) ).

tcf(c_137525,plain,
    iPr_def_27 != iPr_def_28,
    inference(light_normalisation,[status(thm)],[c_116919,c_116911,c_116912]) ).

tcf(c_137543,plain,
    ! [X0: $i] :
      ( ( join_commut(sK336,X0,iPr_def_27) = join_commut(sK336,iPr_def_27,X0) )
      | ~ element(X0,iPr_def_23) ),
    inference(superposition,[status(thm)],[c_137523,c_116913]) ).

tcf(c_137568,plain,
    join_commut(sK336,iPr_def_27,iPr_def_28) = join_commut(sK336,iPr_def_28,iPr_def_27),
    inference(superposition,[status(thm)],[c_137524,c_137543]) ).

tcf(c_137609,plain,
    ! [X0: $i] :
      ( ( join_commut(sK336,iPr_def_27,X0) = join(sK336,iPr_def_27,X0) )
      | ~ element(X0,iPr_def_23) ),
    inference(superposition,[status(thm)],[c_137523,c_116915]) ).

tcf(c_137610,plain,
    ! [X0: $i] :
      ( ( join_commut(sK336,iPr_def_28,X0) = join(sK336,iPr_def_28,X0) )
      | ~ element(X0,iPr_def_23) ),
    inference(superposition,[status(thm)],[c_137524,c_116915]) ).

tcf(c_137638,plain,
    join_commut(sK336,iPr_def_27,iPr_def_28) = join(sK336,iPr_def_27,iPr_def_28),
    inference(superposition,[status(thm)],[c_137524,c_137609]) ).

tcf(c_137647,plain,
    join_commut(sK336,iPr_def_28,iPr_def_27) = join(sK336,iPr_def_27,iPr_def_28),
    inference(demodulation,[status(thm)],[c_137568,c_137638]) ).

tcf(c_137670,plain,
    join_commut(sK336,iPr_def_28,iPr_def_27) = join(sK336,iPr_def_28,iPr_def_27),
    inference(superposition,[status(thm)],[c_137523,c_137610]) ).

tcf(c_137673,plain,
    join(sK336,iPr_def_27,iPr_def_28) = join(sK336,iPr_def_28,iPr_def_27),
    inference(light_normalisation,[status(thm)],[c_137670,c_137647]) ).

tcf(c_137767,plain,
    join(sK336,iPr_def_27,iPr_def_28) = iPr_def_27,
    inference(light_normalisation,[status(thm)],[c_116901,c_116911,c_116912,c_137673]) ).

tcf(c_137779,plain,
    iPr_def_27 = iPr_def_28,
    inference(light_normalisation,[status(thm)],[c_116902,c_116911,c_116912,c_137767]) ).

tcf(c_137780,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_137779,c_137525]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU305+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37  % Computer : n011.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Thu Sep 24 13:37:43 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41  Running first-order theorem proving
% 0.09/0.41  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
% 0.09/0.42  
% 0.09/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 51.09/7.84  % SZS status Started for theBenchmark.p
% 51.09/7.84  % SZS status Theorem for theBenchmark.p
% 51.09/7.84  
% 51.09/7.84  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 51.09/7.84  
% 51.09/7.84  % ------  iProver source info
% 51.09/7.84  
% 51.09/7.84  % git: date: 2026-07-19 20:42:38 +0200
% 51.09/7.84  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 51.09/7.84  % git: non_committed_changes: false
% 51.09/7.84  
% 51.09/7.84  % ------ Parsing...
% 51.09/7.84  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 51.09/7.84  
% 51.09/7.84  % ------ Preprocessing... sup_sim: 95  sf_s  rm: 21 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 18 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 18 0s  sf_e  pe_s  pe_e % 
% 51.09/7.84  
% 51.09/7.84  % ------ Preprocessing... gs_s  sp: 15 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 51.09/7.84  
% 51.09/7.84  % ------ Preprocessing... sf_s  rm: 3 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 51.09/7.84  % ------ Proving...
% 51.09/7.84  % ------ Problem Properties 
% 51.09/7.84  
% 51.09/7.84  % 
% 51.09/7.84  % clauses                               1111
% 51.09/7.84  % conjectures                           4
% 51.09/7.84  % EPR                                   183
% 51.09/7.84  % Horn                                  822
% 51.09/7.84  % unary                                 167
% 51.09/7.84  % binary                                333
% 51.09/7.84  % lits                                  3267
% 51.09/7.84  % lits eq                               484
% 51.09/7.84  % fd_pure                               0
% 51.09/7.84  % fd_pseudo                             0
% 51.09/7.84  % fd_cond                               44
% 51.09/7.84  % fd_pseudo_cond                        115
% 51.09/7.84  % AC symbols                            0
% 51.09/7.84  
% 51.09/7.84  % ------ Schedule dynamic 5 is on 
% 51.09/7.84  
% 51.09/7.84  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 51.09/7.84  
% 51.09/7.84  
% 51.09/7.84  % ------ 
% 51.09/7.84  % Current options:
% 51.09/7.84  % ------ 
% 51.09/7.84  
% 51.09/7.84  
% 51.09/7.84  % 
% 51.09/7.84  
% 51.09/7.84  % ------ Proving...
% 51.09/7.84  % 
% 51.09/7.84  
% 51.09/7.84  % SZS status Theorem for theBenchmark.p
% 51.09/7.84  
% 51.09/7.84  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 51.09/7.85  
% 51.09/7.85  
%------------------------------------------------------------------------------