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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU305+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/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 1.13s 6.23s
% Output   : CNFRefutation 1.13s
% 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(f4,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/sandbox2/benchmark/theBenchmark.p',commutativity_k3_lattices) ).

fof(f6,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/sandbox2/benchmark/theBenchmark.p',d3_lattices) ).

fof(f31,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/sandbox2/benchmark/theBenchmark.p',redefinition_k3_lattices) ).

fof(f35,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/sandbox2/benchmark/theBenchmark.p',t26_lattices) ).

fof(f36,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)],[f35]) ).

fof(f50,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,[],[f4]) ).

fof(f51,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,[],[f50]) ).

fof(f54,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,[],[f6]) ).

fof(f55,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,[],[f54]) ).

fof(f71,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,[],[f31]) ).

fof(f72,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,[],[f71]) ).

fof(f74,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,[],[f36]) ).

fof(f75,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,[],[f74]) ).

fof(f85,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,[],[f55]) ).

fof(f94,plain,
    ( join_semilatt_str(sK7)
    & join_commutative(sK7)
    & ~ empty_carrier(sK7)
    & element(sK8,the_carrier(sK7))
    & element(sK9,the_carrier(sK7))
    & below(sK7,sK9,sK8)
    & below(sK7,sK8,sK9)
    & sK8 != sK9 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9)],[f75]) ).

fof(f99,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,[],[f51]) ).

fof(f101,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,[],[f85]) ).

fof(f126,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,[],[f72]) ).

fof(f131,plain,
    join_semilatt_str(sK7),
    inference(cnf_transformation,[],[f94]) ).

fof(f132,plain,
    join_commutative(sK7),
    inference(cnf_transformation,[],[f94]) ).

fof(f133,plain,
    ~ empty_carrier(sK7),
    inference(cnf_transformation,[],[f94]) ).

fof(f134,plain,
    element(sK8,the_carrier(sK7)),
    inference(cnf_transformation,[],[f94]) ).

fof(f135,plain,
    element(sK9,the_carrier(sK7)),
    inference(cnf_transformation,[],[f94]) ).

fof(f136,plain,
    below(sK7,sK9,sK8),
    inference(cnf_transformation,[],[f94]) ).

fof(f137,plain,
    below(sK7,sK8,sK9),
    inference(cnf_transformation,[],[f94]) ).

fof(f138,plain,
    sK8 != sK9,
    inference(cnf_transformation,[],[f94]) ).

tcf(c_53,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,[],[f99]) ).

tcf(c_56,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,[],[f101]) ).

tcf(c_80,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,[],[f126]) ).

tcf(c_85,negated_conjecture,
    sK8 != sK9,
    inference(cnf_transformation,[],[f138]) ).

tcf(c_86,negated_conjecture,
    below(sK7,sK8,sK9),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_87,negated_conjecture,
    below(sK7,sK9,sK8),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_88,negated_conjecture,
    element(sK9,the_carrier(sK7)),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_89,negated_conjecture,
    element(sK8,the_carrier(sK7)),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_90,negated_conjecture,
    ~ empty_carrier(sK7),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_91,negated_conjecture,
    join_commutative(sK7),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_92,negated_conjecture,
    join_semilatt_str(sK7),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_818,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 != sK7 ) ),
    inference(resolution_lifted,[status(thm)],[c_80,c_91]) ).

tcf(c_819,plain,
    ! [X0: $i,X1: $i] :
      ( empty_carrier(sK7)
      | ( join_commut(sK7,X0,X1) = join(sK7,X0,X1) )
      | ~ join_semilatt_str(sK7)
      | ~ element(X1,the_carrier(sK7))
      | ~ element(X0,the_carrier(sK7)) ),
    inference(unflattening,[status(thm)],[c_818]) ).

tcf(c_821,plain,
    ! [X0: $i,X1: $i] :
      ( ~ element(X1,the_carrier(sK7))
      | ~ element(X0,the_carrier(sK7))
      | ( join_commut(sK7,X0,X1) = join(sK7,X0,X1) ) ),
    inference(global_subsumption_just,[status(thm)],[c_819,c_92,c_90,c_819]) ).

tcf(c_822,plain,
    ! [X0: $i,X1: $i] :
      ( ( join_commut(sK7,X0,X1) = join(sK7,X0,X1) )
      | ~ element(X1,the_carrier(sK7))
      | ~ element(X0,the_carrier(sK7)) ),
    inference(renaming,[status(thm)],[c_821]) ).

tcf(c_848,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 != sK7 ) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_91]) ).

tcf(c_849,plain,
    ! [X0: $i,X1: $i] :
      ( empty_carrier(sK7)
      | ( join_commut(sK7,X0,X1) = join_commut(sK7,X1,X0) )
      | ~ join_semilatt_str(sK7)
      | ~ element(X1,the_carrier(sK7))
      | ~ element(X0,the_carrier(sK7)) ),
    inference(unflattening,[status(thm)],[c_848]) ).

tcf(c_851,plain,
    ! [X0: $i,X1: $i] :
      ( ~ element(X1,the_carrier(sK7))
      | ~ element(X0,the_carrier(sK7))
      | ( join_commut(sK7,X0,X1) = join_commut(sK7,X1,X0) ) ),
    inference(global_subsumption_just,[status(thm)],[c_849,c_92,c_90,c_849]) ).

tcf(c_852,plain,
    ! [X0: $i,X1: $i] :
      ( ( join_commut(sK7,X0,X1) = join_commut(sK7,X1,X0) )
      | ~ element(X1,the_carrier(sK7))
      | ~ element(X0,the_carrier(sK7)) ),
    inference(renaming,[status(thm)],[c_851]) ).

tcf(c_1030,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 != sK9 )
      | ( X1 != sK8 )
      | ( X0 != sK7 ) ),
    inference(resolution_lifted,[status(thm)],[c_56,c_86]) ).

tcf(c_1031,plain,
    ( empty_carrier(sK7)
    | ( join(sK7,sK8,sK9) = sK9 )
    | ~ join_semilatt_str(sK7)
    | ~ element(sK9,the_carrier(sK7))
    | ~ element(sK8,the_carrier(sK7)) ),
    inference(unflattening,[status(thm)],[c_1030]) ).

tcf(c_1032,plain,
    join(sK7,sK8,sK9) = sK9,
    inference(global_subsumption_just,[status(thm)],[c_1031,c_92,c_90,c_89,c_88,c_1031]) ).

tcf(c_1037,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 != sK8 )
      | ( X1 != sK9 )
      | ( X0 != sK7 ) ),
    inference(resolution_lifted,[status(thm)],[c_56,c_87]) ).

tcf(c_1038,plain,
    ( empty_carrier(sK7)
    | ( join(sK7,sK9,sK8) = sK8 )
    | ~ join_semilatt_str(sK7)
    | ~ element(sK9,the_carrier(sK7))
    | ~ element(sK8,the_carrier(sK7)) ),
    inference(unflattening,[status(thm)],[c_1037]) ).

tcf(c_1039,plain,
    join(sK7,sK9,sK8) = sK8,
    inference(global_subsumption_just,[status(thm)],[c_1038,c_92,c_90,c_89,c_88,c_1038]) ).

tcf(c_2686,definition,
    iPr_def_17 = join(sK7,sK9,sK8),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_2687,definition,
    iPr_def_18 = join(sK7,sK8,sK9),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_2696,plain,
    iPr_def_17 = sK8,
    inference(demodulation,[status(thm)],[c_1039,c_2686]) ).

tcf(c_2697,plain,
    iPr_def_18 = sK9,
    inference(demodulation,[status(thm)],[c_1032,c_2687]) ).

tcf(c_2698,plain,
    ! [X0: $i,X1: $i] :
      ( ( join_commut(sK7,X0,X1) = join_commut(sK7,X1,X0) )
      | ~ element(X1,iPr_def_14)
      | ~ element(X0,iPr_def_14) ),
    inference(demodulation,[status(thm)],[c_852]) ).

tcf(c_2700,plain,
    ! [X0: $i,X1: $i] :
      ( ( join_commut(sK7,X0,X1) = join(sK7,X0,X1) )
      | ~ element(X1,iPr_def_14)
      | ~ element(X0,iPr_def_14) ),
    inference(demodulation,[status(thm)],[c_822]) ).

tcf(c_2702,negated_conjecture,
    element(sK8,iPr_def_14),
    inference(demodulation,[status(thm)],[c_89]) ).

tcf(c_2703,negated_conjecture,
    element(sK9,iPr_def_14),
    inference(demodulation,[status(thm)],[c_88]) ).

tcf(c_2704,negated_conjecture,
    sK8 != sK9,
    inference(demodulation,[status(thm)],[c_85]) ).

tcf(c_3360,plain,
    element(iPr_def_17,iPr_def_14),
    inference(light_normalisation,[status(thm)],[c_2702,c_2696]) ).

tcf(c_3361,plain,
    element(iPr_def_18,iPr_def_14),
    inference(light_normalisation,[status(thm)],[c_2703,c_2697]) ).

tcf(c_3362,plain,
    iPr_def_17 != iPr_def_18,
    inference(light_normalisation,[status(thm)],[c_2704,c_2696,c_2697]) ).

tcf(c_3394,plain,
    ! [X0: $i] :
      ( ( join_commut(sK7,X0,iPr_def_17) = join_commut(sK7,iPr_def_17,X0) )
      | ~ element(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_3360,c_2698]) ).

tcf(c_3423,plain,
    join_commut(sK7,iPr_def_17,iPr_def_18) = join_commut(sK7,iPr_def_18,iPr_def_17),
    inference(superposition,[status(thm)],[c_3361,c_3394]) ).

tcf(c_3470,plain,
    ! [X0: $i] :
      ( ( join_commut(sK7,iPr_def_17,X0) = join(sK7,iPr_def_17,X0) )
      | ~ element(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_3360,c_2700]) ).

tcf(c_3471,plain,
    ! [X0: $i] :
      ( ( join_commut(sK7,iPr_def_18,X0) = join(sK7,iPr_def_18,X0) )
      | ~ element(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_3361,c_2700]) ).

tcf(c_3503,plain,
    join_commut(sK7,iPr_def_17,iPr_def_18) = join(sK7,iPr_def_17,iPr_def_18),
    inference(superposition,[status(thm)],[c_3361,c_3470]) ).

tcf(c_3512,plain,
    join_commut(sK7,iPr_def_18,iPr_def_17) = join(sK7,iPr_def_17,iPr_def_18),
    inference(demodulation,[status(thm)],[c_3423,c_3503]) ).

tcf(c_3536,plain,
    join_commut(sK7,iPr_def_18,iPr_def_17) = join(sK7,iPr_def_18,iPr_def_17),
    inference(superposition,[status(thm)],[c_3360,c_3471]) ).

tcf(c_3539,plain,
    join(sK7,iPr_def_17,iPr_def_18) = join(sK7,iPr_def_18,iPr_def_17),
    inference(light_normalisation,[status(thm)],[c_3536,c_3512]) ).

tcf(c_3548,plain,
    join(sK7,iPr_def_17,iPr_def_18) = iPr_def_17,
    inference(light_normalisation,[status(thm)],[c_2686,c_2696,c_2697,c_3539]) ).

tcf(c_3564,plain,
    iPr_def_17 = iPr_def_18,
    inference(light_normalisation,[status(thm)],[c_2687,c_2696,c_2697,c_3548]) ).

tcf(c_3565,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3564,c_3362]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU305+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.37  % Computer : n011.cluster.edu
% 0.11/5.37  % Model    : x86_64 x86_64
% 0.11/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37  % Memory   : 8046.5625MB
% 0.11/5.37  % OS       : Linux 6.8.0-71-generic
% 0.11/5.37  % CPULimit : 300
% 0.11/5.37  % WCLimit  : 300
% 0.11/5.37  % DateTime : Thu Sep 24 13:37:48 UTC 2026
% 0.11/5.37  % CPUTime  : 
% 0.11/5.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.43  Running first-order theorem proving
% 0.15/5.43  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.45  
% 0.15/5.45  % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.45  
% 0.15/5.45  % Detected problem language: tptp
% 0.15/5.47  % Proving...
% 1.13/6.23  % SZS status Started for theBenchmark.p
% 1.13/6.23  % SZS status Theorem for theBenchmark.p
% 1.13/6.23  
% 1.13/6.23  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.13/6.23  
% 1.13/6.23  % ------  iProver source info
% 1.13/6.23  
% 1.13/6.23  % git: date: 2026-07-19 20:42:38 +0200
% 1.13/6.23  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.13/6.23  % git: non_committed_changes: false
% 1.13/6.23  
% 1.13/6.23  % ------ Parsing...
% 1.13/6.23  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.13/6.23  
% 1.13/6.23  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 10 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 10 0s  sf_e  pe_s  pe_e % 
% 1.13/6.23  
% 1.13/6.23  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.13/6.23  
% 1.13/6.23  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.13/6.23  % ------ Proving...
% 1.13/6.23  % ------ Problem Properties 
% 1.13/6.23  
% 1.13/6.23  % 
% 1.13/6.23  % clauses                               55
% 1.13/6.23  % conjectures                           4
% 1.13/6.23  % EPR                                   19
% 1.13/6.23  % Horn                                  52
% 1.13/6.23  % unary                                 28
% 1.13/6.23  % binary                                14
% 1.13/6.23  % lits                                  107
% 1.13/6.23  % lits eq                               25
% 1.13/6.23  % fd_pure                               0
% 1.13/6.23  % fd_pseudo                             0
% 1.13/6.23  % fd_cond                               1
% 1.13/6.23  % fd_pseudo_cond                        1
% 1.13/6.23  % AC symbols                            0
% 1.13/6.23  
% 1.13/6.23  % ------ Schedule dynamic 5 is on 
% 1.13/6.23  
% 1.13/6.23  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.13/6.23  
% 1.13/6.23  
% 1.13/6.23  % ------ 
% 1.13/6.23  % Current options:
% 1.13/6.23  % ------ 
% 1.13/6.23  
% 1.13/6.23  
% 1.13/6.23  % 
% 1.13/6.23  
% 1.13/6.23  % ------ Proving...
% 1.13/6.23  % 
% 1.13/6.23  
% 1.13/6.23  % SZS status Theorem for theBenchmark.p
% 1.13/6.23  
% 1.13/6.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.13/6.23  
% 1.13/6.23  
%------------------------------------------------------------------------------