↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB029+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n006.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 03:04:32 PM UTC 2026

% Result   : Theorem 2.46s 1.28s
% Output   : CNFRefutation 2.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   61 (  15 unt;   2 def)
%            Number of atoms       :  284 (   0 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  358 ( 135   ~; 132   |;  77   &)
%                                         (  12 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 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  :    6 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :   15 (  15 usr;  14 con; 0-3 aty)
%            Number of variables   :  137 (   0 sgn 130   !;   7   ?;  40   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X0,X1)
     => ( ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_rdf_rest,X3,uri_rdf_nil)
        & iext(uri_rdf_first,X3,X4)
        & iext(uri_rdf_rest,X1,X3)
        & iext(uri_rdf_first,X1,X2) )
     => ( iext(uri_owl_intersectionOf,X0,X1)
      <=> ( ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X4,X5)
                & icext(X2,X5) ) )
          & ic(X4)
          & ic(X2)
          & ic(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).

fof(f6,axiom,
    ? [X0,X1,X2,X3] :
      ( iext(uri_owl_complementOf,X1,uri_ex_A)
      & iext(uri_rdf_rest,X3,uri_rdf_nil)
      & iext(uri_rdf_first,X3,X1)
      & iext(uri_rdf_rest,X2,X3)
      & iext(uri_rdf_first,X2,uri_ex_A)
      & iext(uri_owl_intersectionOf,X0,X2)
      & iext(uri_rdf_type,uri_ex_w,X0)
      & iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_A,uri_owl_Class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_029_Ex_Falso_Quodlibet) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | ( ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f9,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( iext(uri_owl_intersectionOf,X0,X1)
      <=> ( ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X4,X5)
                & icext(X2,X5) ) )
          & ic(X4)
          & ic(X2)
          & ic(X0) ) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f10,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( iext(uri_owl_intersectionOf,X0,X1)
      <=> ( ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X4,X5)
                & icext(X2,X5) ) )
          & ic(X4)
          & ic(X2)
          & ic(X0) ) ) ),
    inference(flattening,[],[f9]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdf_type,X0,X1)
        | icext(X1,X0) )
      & ( ~ icext(X1,X0)
        | iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | ( ! [X2] :
            ( ( ~ icext(X0,X2)
              | ~ icext(X1,X2) )
            & ( icext(X1,X2)
              | icext(X0,X2) ) )
        & ic(X1)
        & ic(X0) ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f16,plain,
    ! [X4,X2,X0,X1] :
      ( ~ sP1(X4,X2,X0,X1)
      | ( ( ~ iext(uri_owl_intersectionOf,X0,X1)
          | sP0(X0,X2,X4) )
        & ( ~ sP0(X0,X2,X4)
          | iext(uri_owl_intersectionOf,X0,X1) ) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f17,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sP1(X0,X1,X2,X3)
      | ( ( ~ iext(uri_owl_intersectionOf,X2,X3)
          | sP0(X2,X1,X0) )
        & ( ~ sP0(X2,X1,X0)
          | iext(uri_owl_intersectionOf,X2,X3) ) ) ),
    inference(rectify,[],[f16]) ).

fof(f22,plain,
    ( iext(uri_owl_complementOf,sK4,uri_ex_A)
    & iext(uri_rdf_rest,sK6,uri_rdf_nil)
    & iext(uri_rdf_first,sK6,sK4)
    & iext(uri_rdf_rest,sK5,sK6)
    & iext(uri_rdf_first,sK5,uri_ex_A)
    & iext(uri_owl_intersectionOf,sK3,sK5)
    & iext(uri_rdf_type,uri_ex_w,sK3)
    & iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
    & iext(uri_rdf_type,uri_ex_A,uri_owl_Class) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f6]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f25,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | ~ icext(X0,X2)
      | ~ icext(X1,X2) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f29,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP1(X0,X1,X2,X3)
      | ~ iext(uri_owl_intersectionOf,X2,X3)
      | sP0(X2,X1,X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f40,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | sP1(X4,X2,X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f42,plain,
    iext(uri_owl_complementOf,sK4,uri_ex_A),
    inference(cnf_transformation,[],[f22]) ).

fof(f43,plain,
    iext(uri_rdf_rest,sK6,uri_rdf_nil),
    inference(cnf_transformation,[],[f22]) ).

fof(f44,plain,
    iext(uri_rdf_first,sK6,sK4),
    inference(cnf_transformation,[],[f22]) ).

fof(f45,plain,
    iext(uri_rdf_rest,sK5,sK6),
    inference(cnf_transformation,[],[f22]) ).

fof(f46,plain,
    iext(uri_rdf_first,sK5,uri_ex_A),
    inference(cnf_transformation,[],[f22]) ).

fof(f47,plain,
    iext(uri_owl_intersectionOf,sK3,sK5),
    inference(cnf_transformation,[],[f22]) ).

fof(f48,plain,
    iext(uri_rdf_type,uri_ex_w,sK3),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( sP0(X2,X1,X0)
      | ~ iext(uri_owl_intersectionOf,X2,X3)
      | ~ sP1(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( sP1(X3,X1,X4,X0)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ~ iext(uri_rdf_rest,X0,X2)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_70,plain,
    iext(uri_rdf_type,uri_ex_w,sK3),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_71,plain,
    iext(uri_owl_intersectionOf,sK3,sK5),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_72,plain,
    iext(uri_rdf_first,sK5,uri_ex_A),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_73,plain,
    iext(uri_rdf_rest,sK5,sK6),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_74,plain,
    iext(uri_rdf_first,sK6,sK4),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_75,plain,
    iext(uri_rdf_rest,sK6,uri_rdf_nil),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_76,plain,
    iext(uri_owl_complementOf,sK4,uri_ex_A),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_784,plain,
    ( icext(sK3,uri_ex_w)
    | ~ iext(uri_rdf_type,uri_ex_w,sK3) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_787,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(sK3,X1,X0)
      | ~ iext(uri_owl_intersectionOf,sK3,sK5)
      | ~ sP1(X0,X1,sK3,sK5) ),
    inference(instantiation,[status(thm)],[c_56]) ).

tcf(c_789,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( sP1(X2,X1,X3,X0)
      | ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
      | ~ iext(uri_rdf_rest,X0,sK6)
      | ~ iext(uri_rdf_first,sK6,X2)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(instantiation,[status(thm)],[c_66]) ).

tcf(c_830,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sP1(sK4,X1,X2,X0)
      | ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
      | ~ iext(uri_rdf_first,sK6,sK4)
      | ~ iext(uri_rdf_rest,X0,sK6)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(instantiation,[status(thm)],[c_789]) ).

tcf(c_835,plain,
    ! [X0: $i,X1: $i] :
      ( ~ icext(sK4,X1)
      | ~ icext(X0,X1)
      | ~ iext(uri_owl_complementOf,sK4,X0) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_857,plain,
    ! [X0: $i] :
      ( sP1(sK4,X0,sK3,sK5)
      | ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
      | ~ iext(uri_rdf_rest,sK5,sK6)
      | ~ iext(uri_rdf_first,sK6,sK4)
      | ~ iext(uri_rdf_first,sK5,X0) ),
    inference(instantiation,[status(thm)],[c_830]) ).

tcf(c_858,plain,
    ! [X0: $i] :
      ( sP0(sK3,X0,sK4)
      | ~ iext(uri_owl_intersectionOf,sK3,sK5)
      | ~ sP1(sK4,X0,sK3,sK5) ),
    inference(instantiation,[status(thm)],[c_787]) ).

tcf(c_928,plain,
    ( sP1(sK4,uri_ex_A,sK3,sK5)
    | ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
    | ~ iext(uri_rdf_rest,sK5,sK6)
    | ~ iext(uri_rdf_first,sK6,sK4)
    | ~ iext(uri_rdf_first,sK5,uri_ex_A) ),
    inference(instantiation,[status(thm)],[c_857]) ).

tcf(c_931,plain,
    ! [X0: $i] :
      ( ~ icext(sK4,uri_ex_w)
      | ~ icext(X0,uri_ex_w)
      | ~ iext(uri_owl_complementOf,sK4,X0) ),
    inference(instantiation,[status(thm)],[c_835]) ).

tcf(c_993,plain,
    ( sP0(sK3,uri_ex_A,sK4)
    | ~ iext(uri_owl_intersectionOf,sK3,sK5)
    | ~ sP1(sK4,uri_ex_A,sK3,sK5) ),
    inference(instantiation,[status(thm)],[c_858]) ).

tcf(c_1340,plain,
    ( ~ icext(sK4,uri_ex_w)
    | ~ icext(uri_ex_A,uri_ex_w)
    | ~ iext(uri_owl_complementOf,sK4,uri_ex_A) ),
    inference(instantiation,[status(thm)],[c_931]) ).

fof(f11,definition,
    ! [X0,X2,X4] :
      ( sP0(X0,X2,X4)
    <=> ( ! [X5] :
            ( icext(X0,X5)
          <=> ( icext(X4,X5)
              & icext(X2,X5) ) )
        & ic(X4)
        & ic(X2)
        & ic(X0) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f12,definition,
    ! [X4,X2,X0,X1] :
      ( ~ sP1(X4,X2,X0,X1)
      | ( iext(uri_owl_intersectionOf,X0,X1)
      <=> sP0(X0,X2,X4) ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f13,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | sP1(X4,X2,X0,X1) ),
    inference(definition_folding,[],[f10,f12,f11]) ).

fof(f18,plain,
    ! [X0,X2,X4] :
      ( ( ~ sP0(X0,X2,X4)
        | ( ! [X5] :
              ( ( ~ icext(X0,X5)
                | ( icext(X4,X5)
                  & icext(X2,X5) ) )
              & ( ~ icext(X4,X5)
                | ~ icext(X2,X5)
                | icext(X0,X5) ) )
          & ic(X4)
          & ic(X2)
          & ic(X0) ) )
      & ( ? [X5] :
            ( ( icext(X0,X5)
              | ( icext(X4,X5)
                & icext(X2,X5) ) )
            & ( ~ icext(X0,X5)
              | ~ icext(X4,X5)
              | ~ icext(X2,X5) ) )
        | ~ ic(X4)
        | ~ ic(X2)
        | ~ ic(X0)
        | sP0(X0,X2,X4) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f19,plain,
    ! [X0,X2,X4] :
      ( ( ~ sP0(X0,X2,X4)
        | ( ! [X5] :
              ( ( ~ icext(X0,X5)
                | ( icext(X4,X5)
                  & icext(X2,X5) ) )
              & ( ~ icext(X4,X5)
                | ~ icext(X2,X5)
                | icext(X0,X5) ) )
          & ic(X4)
          & ic(X2)
          & ic(X0) ) )
      & ( ? [X5] :
            ( ( icext(X0,X5)
              | ( icext(X4,X5)
                & icext(X2,X5) ) )
            & ( ~ icext(X0,X5)
              | ~ icext(X4,X5)
              | ~ icext(X2,X5) ) )
        | ~ ic(X4)
        | ~ ic(X2)
        | ~ ic(X0)
        | sP0(X0,X2,X4) ) ),
    inference(flattening,[],[f18]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( ~ sP0(X0,X1,X2)
        | ( ! [X4] :
              ( ( ~ icext(X0,X4)
                | ( icext(X2,X4)
                  & icext(X1,X4) ) )
              & ( ~ icext(X2,X4)
                | ~ icext(X1,X4)
                | icext(X0,X4) ) )
          & ic(X2)
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X3] :
            ( ( icext(X0,X3)
              | ( icext(X2,X3)
                & icext(X1,X3) ) )
            & ( ~ icext(X0,X3)
              | ~ icext(X2,X3)
              | ~ icext(X1,X3) ) )
        | ~ ic(X2)
        | ~ ic(X1)
        | ~ ic(X0)
        | sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f19]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( ( ~ sP0(X0,X1,X2)
        | ( ! [X4] :
              ( ( ~ icext(X0,X4)
                | ( icext(X2,X4)
                  & icext(X1,X4) ) )
              & ( ~ icext(X2,X4)
                | ~ icext(X1,X4)
                | icext(X0,X4) ) )
          & ic(X2)
          & ic(X1)
          & ic(X0) ) )
      & ( ( ( icext(X0,sK2(X0,X1,X2))
            | ( icext(X2,sK2(X0,X1,X2))
              & icext(X1,sK2(X0,X1,X2)) ) )
          & ( ~ icext(X0,sK2(X0,X1,X2))
            | ~ icext(X2,sK2(X0,X1,X2))
            | ~ icext(X1,sK2(X0,X1,X2)) ) )
        | ~ ic(X2)
        | ~ ic(X1)
        | ~ ic(X0)
        | sP0(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f20]) ).

fof(f31,plain,
    ! [X2,X0,X1,X4] :
      ( ~ sP0(X0,X1,X2)
      | ~ icext(X0,X4)
      | icext(X2,X4) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f32,plain,
    ! [X2,X0,X1,X4] :
      ( ~ sP0(X0,X1,X2)
      | ~ icext(X0,X4)
      | icext(X1,X4) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( icext(X1,X3)
      | ~ icext(X0,X3)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( icext(X2,X3)
      | ~ icext(X0,X3)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_819,plain,
    ! [X0: $i,X1: $i] :
      ( icext(X1,uri_ex_w)
      | ~ icext(sK3,uri_ex_w)
      | ~ sP0(sK3,X0,X1) ),
    inference(instantiation,[status(thm)],[c_65]) ).

tcf(c_820,plain,
    ! [X0: $i,X1: $i] :
      ( icext(X0,uri_ex_w)
      | ~ icext(sK3,uri_ex_w)
      | ~ sP0(sK3,X0,X1) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_1153,plain,
    ( icext(uri_ex_A,uri_ex_w)
    | ~ icext(sK3,uri_ex_w)
    | ~ sP0(sK3,uri_ex_A,sK4) ),
    inference(instantiation,[status(thm)],[c_820]) ).

tcf(c_1154,plain,
    ( icext(sK4,uri_ex_w)
    | ~ icext(sK3,uri_ex_w)
    | ~ sP0(sK3,uri_ex_A,sK4) ),
    inference(instantiation,[status(thm)],[c_819]) ).

tcf(c_1343,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1340,c_1153,c_1154,c_993,c_928,c_784,c_70,c_71,c_72,c_73,c_74,c_75,c_76]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB029+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n006.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 15:36:11 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  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
% 0.10/0.41  
% 0.10/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 2.46/1.28  % SZS status Started for theBenchmark.p
% 2.46/1.28  % SZS status Theorem for theBenchmark.p
% 2.46/1.28  
% 2.46/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.46/1.28  
% 2.46/1.28  % ------  iProver source info
% 2.46/1.28  
% 2.46/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 2.46/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.46/1.28  % git: non_committed_changes: false
% 2.46/1.28  
% 2.46/1.28  % ------ Parsing...
% 2.46/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.46/1.28  
% 2.46/1.28  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 2.46/1.28  
% 2.46/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.46/1.28  % ------ Proving...
% 2.46/1.28  % ------ Problem Properties 
% 2.46/1.28  
% 2.46/1.28  % 
% 2.46/1.28  % clauses                               28
% 2.46/1.28  % conjectures                           1
% 2.46/1.28  % EPR                                   25
% 2.46/1.28  % Horn                                  25
% 2.46/1.28  % unary                                 10
% 2.46/1.28  % binary                                7
% 2.46/1.28  % lits                                  70
% 2.46/1.28  % lits eq                               0
% 2.46/1.28  % fd_pure                               0
% 2.46/1.28  % fd_pseudo                             0
% 2.46/1.28  % fd_cond                               0
% 2.46/1.28  % fd_pseudo_cond                        0
% 2.46/1.28  % AC symbols                            0
% 2.46/1.28  
% 2.46/1.28  % ------ Schedule dynamic 5 is on 
% 2.46/1.28  
% 2.46/1.28  % ------ no equalities: superposition off 
% 2.46/1.28  
% 2.46/1.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.46/1.28  
% 2.46/1.28  
% 2.46/1.28  % ------ 
% 2.46/1.28  % Current options:
% 2.46/1.28  % ------ 
% 2.46/1.28  
% 2.46/1.28  
% 2.46/1.28  % 
% 2.46/1.28  
% 2.46/1.28  % ------ Proving...
% 2.46/1.28  % 
% 2.46/1.28  
% 2.46/1.28  % SZS status Theorem for theBenchmark.p
% 2.46/1.28  
% 2.46/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.46/1.28  
% 2.46/1.28  
%------------------------------------------------------------------------------