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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU009+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n026.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 02:55:01 PM UTC 2026

% Result   : Theorem 2.58s 1.26s
% Output   : CNFRefutation 2.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   72 (  21 unt;   5 def)
%            Number of atoms       :  345 (  44 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  376 ( 155   ~; 157   |;  48   &)
%                                         (   8 <=>;   6  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   94 (   0 sgn  79   !;  15   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ! [X0] :
      ( function(identity_relation(X0))
      & relation(identity_relation(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_1) ).

fof(f27,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ( X1 = identity_relation(X0)
      <=> ( ! [X2] :
              ( in(X2,X0)
             => apply(X1,X2) = X2 )
          & relation_dom(X1) = X0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).

fof(f31,conjecture,
    ! [X0,X1,X2] :
      ( ( function(X2)
        & relation(X2) )
     => ( in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
      <=> ( in(apply(X2,X1),X0)
          & in(X1,relation_dom(X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_funct_1) ).

fof(f32,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( function(X2)
          & relation(X2) )
       => ( in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
        <=> ( in(apply(X2,X1),X0)
            & in(X1,relation_dom(X2)) ) ) ),
    inference(negated_conjecture,[status(cth)],[f31]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ! [X2] :
          ( ~ function(X2)
          | ~ relation(X2)
          | ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) ) ) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ! [X2] :
          ( ~ function(X2)
          | ~ relation(X2)
          | ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) ) ) ),
    inference(flattening,[],[f58]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ( X1 = identity_relation(X0)
      <=> ( ! [X2] :
              ( ~ in(X2,X0)
              | apply(X1,X2) = X2 )
          & relation_dom(X1) = X0 ) ) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ( X1 = identity_relation(X0)
      <=> ( ! [X2] :
              ( ~ in(X2,X0)
              | apply(X1,X2) = X2 )
          & relation_dom(X1) = X0 ) ) ),
    inference(flattening,[],[f62]) ).

fof(f65,plain,
    ? [X0,X1,X2] :
      ( function(X2)
      & relation(X2)
      & ( in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
      <~> ( in(apply(X2,X1),X0)
          & in(X1,relation_dom(X2)) ) ) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f66,plain,
    ? [X0,X1,X2] :
      ( function(X2)
      & relation(X2)
      & ( in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
      <~> ( in(apply(X2,X1),X0)
          & in(X1,relation_dom(X2)) ) ) ),
    inference(flattening,[],[f65]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ! [X2] :
          ( ~ function(X2)
          | ~ relation(X2)
          | ( ( ~ in(X0,relation_dom(relation_composition(X2,X1)))
              | ( in(apply(X2,X0),relation_dom(X1))
                & in(X0,relation_dom(X2)) ) )
            & ( ~ in(apply(X2,X0),relation_dom(X1))
              | ~ in(X0,relation_dom(X2))
              | in(X0,relation_dom(relation_composition(X2,X1))) ) ) ) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ! [X2] :
          ( ~ function(X2)
          | ~ relation(X2)
          | ( ( ~ in(X0,relation_dom(relation_composition(X2,X1)))
              | ( in(apply(X2,X0),relation_dom(X1))
                & in(X0,relation_dom(X2)) ) )
            & ( ~ in(apply(X2,X0),relation_dom(X1))
              | ~ in(X0,relation_dom(X2))
              | in(X0,relation_dom(relation_composition(X2,X1))) ) ) ) ),
    inference(flattening,[],[f82]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ( ( identity_relation(X0) != X1
          | ( ! [X2] :
                ( ~ in(X2,X0)
                | apply(X1,X2) = X2 )
            & relation_dom(X1) = X0 ) )
        & ( ? [X2] :
              ( in(X2,X0)
              & apply(X1,X2) != X2 )
          | relation_dom(X1) != X0
          | X1 = identity_relation(X0) ) ) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ( ( identity_relation(X0) != X1
          | ( ! [X2] :
                ( ~ in(X2,X0)
                | apply(X1,X2) = X2 )
            & relation_dom(X1) = X0 ) )
        & ( ? [X2] :
              ( in(X2,X0)
              & apply(X1,X2) != X2 )
          | relation_dom(X1) != X0
          | X1 = identity_relation(X0) ) ) ),
    inference(flattening,[],[f84]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ( ( identity_relation(X0) != X1
          | ( ! [X3] :
                ( ~ in(X3,X0)
                | apply(X1,X3) = X3 )
            & relation_dom(X1) = X0 ) )
        & ( ? [X2] :
              ( in(X2,X0)
              & apply(X1,X2) != X2 )
          | relation_dom(X1) != X0
          | X1 = identity_relation(X0) ) ) ),
    inference(rectify,[],[f85]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ( ( identity_relation(X0) != X1
          | ( ! [X3] :
                ( ~ in(X3,X0)
                | apply(X1,X3) = X3 )
            & relation_dom(X1) = X0 ) )
        & ( ( in(sK9(X0,X1),X0)
            & sK9(X0,X1) != apply(X1,sK9(X0,X1)) )
          | relation_dom(X1) != X0
          | X1 = identity_relation(X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f86]) ).

fof(f88,plain,
    ? [X0,X1,X2] :
      ( function(X2)
      & relation(X2)
      & ( in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
        | ( in(apply(X2,X1),X0)
          & in(X1,relation_dom(X2)) ) )
      & ( ~ in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
        | ~ in(apply(X2,X1),X0)
        | ~ in(X1,relation_dom(X2)) ) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f89,plain,
    ? [X0,X1,X2] :
      ( function(X2)
      & relation(X2)
      & ( in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
        | ( in(apply(X2,X1),X0)
          & in(X1,relation_dom(X2)) ) )
      & ( ~ in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
        | ~ in(apply(X2,X1),X0)
        | ~ in(X1,relation_dom(X2)) ) ),
    inference(flattening,[],[f88]) ).

fof(f90,plain,
    ( function(sK12)
    & relation(sK12)
    & ( in(sK11,relation_dom(relation_composition(sK12,identity_relation(sK10))))
      | ( in(apply(sK12,sK11),sK10)
        & in(sK11,relation_dom(sK12)) ) )
    & ( ~ in(sK11,relation_dom(relation_composition(sK12,identity_relation(sK10))))
      | ~ in(apply(sK12,sK11),sK10)
      | ~ in(sK11,relation_dom(sK12)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X0,sK10),skolemize(X1,sK11),skolemize(X2,sK12)],[f89]) ).

fof(f105,plain,
    ! [X0] : function(identity_relation(X0)),
    inference(cnf_transformation,[],[f12]) ).

fof(f106,plain,
    ! [X0] : relation(identity_relation(X0)),
    inference(cnf_transformation,[],[f12]) ).

fof(f129,plain,
    ! [X2,X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ~ function(X2)
      | ~ relation(X2)
      | ~ in(X0,relation_dom(relation_composition(X2,X1)))
      | in(apply(X2,X0),relation_dom(X1)) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f130,plain,
    ! [X2,X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ~ function(X2)
      | ~ relation(X2)
      | ~ in(X0,relation_dom(relation_composition(X2,X1)))
      | in(X0,relation_dom(X2)) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f131,plain,
    ! [X2,X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | ~ function(X2)
      | ~ relation(X2)
      | ~ in(apply(X2,X0),relation_dom(X1))
      | ~ in(X0,relation_dom(X2))
      | in(X0,relation_dom(relation_composition(X2,X1))) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ~ function(X1)
      | ~ relation(X1)
      | identity_relation(X0) != X1
      | relation_dom(X1) = X0 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f138,plain,
    function(sK12),
    inference(cnf_transformation,[],[f90]) ).

fof(f139,plain,
    relation(sK12),
    inference(cnf_transformation,[],[f90]) ).

fof(f140,plain,
    ( in(sK11,relation_dom(relation_composition(sK12,identity_relation(sK10))))
    | in(apply(sK12,sK11),sK10) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f141,plain,
    ( in(sK11,relation_dom(relation_composition(sK12,identity_relation(sK10))))
    | in(sK11,relation_dom(sK12)) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f142,plain,
    ( ~ in(sK11,relation_dom(relation_composition(sK12,identity_relation(sK10))))
    | ~ in(apply(sK12,sK11),sK10)
    | ~ in(sK11,relation_dom(sK12)) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ function(identity_relation(X0))
      | ~ relation(identity_relation(X0))
      | relation_dom(identity_relation(X0)) = X0 ),
    inference(equality_resolution,[],[f134]) ).

tcf(c_63,plain,
    ! [X0: $i] : relation(identity_relation(X0)),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_64,plain,
    ! [X0: $i] : function(identity_relation(X0)),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_87,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X1,relation_dom(relation_composition(X0,X2)))
      | ~ relation(X2)
      | ~ relation(X0)
      | ~ function(X2)
      | ~ function(X0)
      | ~ in(X1,relation_dom(X0))
      | ~ in(apply(X0,X1),relation_dom(X2)) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_88,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X0,relation_dom(X1))
      | ~ relation(X2)
      | ~ relation(X1)
      | ~ function(X2)
      | ~ function(X1)
      | ~ in(X0,relation_dom(relation_composition(X1,X2))) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_89,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(apply(X1,X0),relation_dom(X2))
      | ~ relation(X2)
      | ~ relation(X1)
      | ~ function(X2)
      | ~ function(X1)
      | ~ in(X0,relation_dom(relation_composition(X1,X2))) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_93,plain,
    ! [X0: $i] :
      ( ( relation_dom(identity_relation(X0)) = X0 )
      | ~ relation(identity_relation(X0))
      | ~ function(identity_relation(X0)) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_96,negated_conjecture,
    ( ~ in(sK11,relation_dom(sK12))
    | ~ in(apply(sK12,sK11),sK10)
    | ~ in(sK11,relation_dom(relation_composition(sK12,identity_relation(sK10)))) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_97,negated_conjecture,
    ( in(sK11,relation_dom(sK12))
    | in(sK11,relation_dom(relation_composition(sK12,identity_relation(sK10)))) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_98,negated_conjecture,
    ( in(apply(sK12,sK11),sK10)
    | in(sK11,relation_dom(relation_composition(sK12,identity_relation(sK10)))) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_99,negated_conjecture,
    relation(sK12),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_100,negated_conjecture,
    function(sK12),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_136,plain,
    ! [X0: $i] : relation_dom(identity_relation(X0)) = X0,
    inference(global_subsumption_just,[status(thm)],[c_93,c_64,c_63,c_93]) ).

tcf(c_992,definition,
    iPr_def_10 = identity_relation(sK10),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_993,definition,
    iPr_def_11 = relation_composition(sK12,iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_994,definition,
    iPr_def_12 = relation_dom(iPr_def_11),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_995,definition,
    iPr_def_13 = apply(sK12,sK11),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_996,definition,
    iPr_def_14 = relation_dom(sK12),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_997,negated_conjecture,
    function(sK12),
    inference(demodulation,[status(thm)],[c_100]) ).

tcf(c_998,negated_conjecture,
    relation(sK12),
    inference(demodulation,[status(thm)],[c_99]) ).

tcf(c_999,negated_conjecture,
    ( in(iPr_def_13,sK10)
    | in(sK11,iPr_def_12) ),
    inference(demodulation,[status(thm)],[c_98,c_995,c_992,c_993,c_994]) ).

tcf(c_1000,negated_conjecture,
    ( in(sK11,iPr_def_14)
    | in(sK11,iPr_def_12) ),
    inference(demodulation,[status(thm)],[c_97,c_996]) ).

tcf(c_1001,negated_conjecture,
    ( ~ in(iPr_def_13,sK10)
    | ~ in(sK11,iPr_def_14)
    | ~ in(sK11,iPr_def_12) ),
    inference(demodulation,[status(thm)],[c_96]) ).

tcf(c_1655,plain,
    function(iPr_def_10),
    inference(superposition,[status(thm)],[c_992,c_64]) ).

tcf(c_1656,plain,
    relation(iPr_def_10),
    inference(superposition,[status(thm)],[c_992,c_63]) ).

tcf(c_1657,plain,
    relation_dom(iPr_def_10) = sK10,
    inference(superposition,[status(thm)],[c_992,c_136]) ).

tcf(c_2274,plain,
    ! [X0: $i] :
      ( in(X0,relation_dom(sK12))
      | ~ relation(iPr_def_10)
      | ~ relation(sK12)
      | ~ function(iPr_def_10)
      | ~ function(sK12)
      | ~ in(X0,relation_dom(iPr_def_11)) ),
    inference(superposition,[status(thm)],[c_993,c_88]) ).

tcf(c_2275,plain,
    ! [X0: $i] :
      ( in(X0,iPr_def_14)
      | ~ relation(iPr_def_10)
      | ~ relation(sK12)
      | ~ function(iPr_def_10)
      | ~ function(sK12)
      | ~ in(X0,iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_2274,c_994,c_996]) ).

tcf(c_2276,plain,
    ! [X0: $i] :
      ( in(X0,iPr_def_14)
      | ~ in(X0,iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2275,c_1656,c_998,c_1655,c_997]) ).

tcf(c_2316,plain,
    in(sK11,iPr_def_14),
    inference(backward_subsumption_resolution,[status(thm)],[c_1000,c_2276]) ).

tcf(c_2377,plain,
    ! [X0: $i] :
      ( in(apply(sK12,X0),relation_dom(iPr_def_10))
      | ~ relation(iPr_def_10)
      | ~ relation(sK12)
      | ~ function(iPr_def_10)
      | ~ function(sK12)
      | ~ in(X0,relation_dom(iPr_def_11)) ),
    inference(superposition,[status(thm)],[c_993,c_89]) ).

tcf(c_2378,plain,
    ! [X0: $i] :
      ( in(apply(sK12,X0),sK10)
      | ~ relation(iPr_def_10)
      | ~ relation(sK12)
      | ~ function(iPr_def_10)
      | ~ function(sK12)
      | ~ in(X0,iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_2377,c_994,c_1657]) ).

tcf(c_2379,plain,
    ! [X0: $i] :
      ( in(apply(sK12,X0),sK10)
      | ~ in(X0,iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2378,c_1656,c_998,c_1655,c_997]) ).

tcf(c_2438,plain,
    ! [X0: $i] :
      ( in(sK11,relation_dom(relation_composition(sK12,X0)))
      | ~ relation(sK12)
      | ~ function(sK12)
      | ~ relation(X0)
      | ~ function(X0)
      | ~ in(sK11,relation_dom(sK12))
      | ~ in(iPr_def_13,relation_dom(X0)) ),
    inference(superposition,[status(thm)],[c_995,c_87]) ).

tcf(c_2446,plain,
    ! [X0: $i] :
      ( in(sK11,relation_dom(relation_composition(sK12,X0)))
      | ~ relation(sK12)
      | ~ function(sK12)
      | ~ relation(X0)
      | ~ function(X0)
      | ~ in(sK11,iPr_def_14)
      | ~ in(iPr_def_13,relation_dom(X0)) ),
    inference(light_normalisation,[status(thm)],[c_2438,c_996]) ).

tcf(c_2447,plain,
    ! [X0: $i] :
      ( in(sK11,relation_dom(relation_composition(sK12,X0)))
      | ~ relation(X0)
      | ~ function(X0)
      | ~ in(iPr_def_13,relation_dom(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2446,c_998,c_997,c_2316]) ).

tcf(c_2565,plain,
    ( in(iPr_def_13,sK10)
    | ~ in(sK11,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_995,c_2379]) ).

tcf(c_2605,plain,
    ( in(sK11,relation_dom(iPr_def_11))
    | ~ relation(iPr_def_10)
    | ~ function(iPr_def_10)
    | ~ in(iPr_def_13,relation_dom(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_993,c_2447]) ).

tcf(c_2612,plain,
    ( in(sK11,iPr_def_12)
    | ~ relation(iPr_def_10)
    | ~ function(iPr_def_10)
    | ~ in(iPr_def_13,sK10) ),
    inference(light_normalisation,[status(thm)],[c_2605,c_994,c_1657]) ).

tcf(c_2613,plain,
    ( in(sK11,iPr_def_12)
    | ~ in(iPr_def_13,sK10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2612,c_1656,c_1655]) ).

tcf(c_2706,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2613,c_2565,c_2316,c_1001,c_999]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU009+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.39  % Computer : n026.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Thu Sep 24 12:36:10 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.46  Running first-order theorem proving
% 0.11/0.46  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
% 0.11/0.48  
% 0.11/0.48  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.48  
% 0.11/0.48  % Detected problem language: tptp
% 0.20/0.50  % Proving...
% 2.58/1.26  % SZS status Started for theBenchmark.p
% 2.58/1.26  % SZS status Theorem for theBenchmark.p
% 2.58/1.26  
% 2.58/1.26  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.58/1.26  
% 2.58/1.26  % ------  iProver source info
% 2.58/1.26  
% 2.58/1.26  % git: date: 2026-07-19 20:42:38 +0200
% 2.58/1.26  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.58/1.26  % git: non_committed_changes: false
% 2.58/1.26  
% 2.58/1.26  % ------ Parsing...
% 2.58/1.26  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.58/1.26  
% 2.58/1.26  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 2.58/1.26  
% 2.58/1.26  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.58/1.26  
% 2.58/1.26  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.58/1.26  % ------ Proving...
% 2.58/1.26  % ------ Problem Properties 
% 2.58/1.26  
% 2.58/1.26  % 
% 2.58/1.26  % clauses                               56
% 2.58/1.26  % conjectures                           5
% 2.58/1.26  % EPR                                   24
% 2.58/1.26  % Horn                                  51
% 2.58/1.26  % unary                                 26
% 2.58/1.26  % binary                                13
% 2.58/1.26  % lits                                  117
% 2.58/1.26  % lits eq                               12
% 2.58/1.26  % fd_pure                               0
% 2.58/1.26  % fd_pseudo                             0
% 2.58/1.26  % fd_cond                               1
% 2.58/1.26  % fd_pseudo_cond                        1
% 2.58/1.26  % AC symbols                            0
% 2.58/1.26  
% 2.58/1.26  % ------ Schedule dynamic 5 is on 
% 2.58/1.26  
% 2.58/1.26  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.58/1.26  
% 2.58/1.26  
% 2.58/1.26  % ------ 
% 2.58/1.26  % Current options:
% 2.58/1.26  % ------ 
% 2.58/1.26  
% 2.58/1.26  
% 2.58/1.26  % 
% 2.58/1.26  
% 2.58/1.26  % ------ Proving...
% 2.58/1.26  % 
% 2.58/1.26  
% 2.58/1.26  % SZS status Theorem for theBenchmark.p
% 2.58/1.26  
% 2.58/1.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.58/1.27  
%------------------------------------------------------------------------------