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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KRS142+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/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 01:54:15 PM UTC 2026

% Result   : Theorem 1.77s 1.30s
% Output   : CNFRefutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   90 (  15 unt;   1 def)
%            Number of atoms       :  318 (  31 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  366 ( 138   ~; 159   |;  49   &)
%                                         (   4 <=>;  13  =>;   0  <=;   3 <~>)
%            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  :    9 (   7 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :  121 (   0 sgn  87   !;  34   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f9,axiom,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f10,axiom,
    ! [X0] :
      ( cc(X0)
     => ( ! [X1,X2] :
            ( ( rp(X0,X2)
              & rp(X0,X1) )
           => X1 = X2 )
        & ? [X1] : rp(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f11,conjecture,
    ( ! [X0] :
        ( cc(X0)
       => ! [X1,X2] :
            ( ( rp(X0,X2)
              & rp(X0,X1) )
           => X1 = X2 ) )
    & ! [X0] :
        ( cc(X0)
       => ? [X1] : rp(X0,X1) )
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f12,negated_conjecture,
    ~ ( ! [X0] :
          ( cc(X0)
         => ! [X1,X2] :
              ( ( rp(X0,X2)
                & rp(X0,X1) )
             => X1 = X2 ) )
      & ! [X0] :
          ( cc(X0)
         => ? [X1] : rp(X0,X1) )
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[status(cth)],[f11]) ).

fof(f13,plain,
    ! [X0] :
      ( cc(X0)
     => ( ! [X2,X3] :
            ( ( rp(X0,X3)
              & rp(X0,X2) )
           => X2 = X3 )
        & ? [X1] : rp(X0,X1) ) ),
    inference(rectify,[],[f10]) ).

fof(f14,plain,
    ~ ( ! [X4] :
          ( cc(X4)
         => ! [X5,X6] :
              ( ( rp(X4,X6)
                & rp(X4,X5) )
             => X5 = X6 ) )
      & ! [X2] :
          ( cc(X2)
         => ? [X3] : rp(X2,X3) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(rectify,[],[f12]) ).

fof(f29,plain,
    ! [X0] :
      ( ~ cc(X0)
      | ( ! [X2,X3] :
            ( ~ rp(X0,X3)
            | ~ rp(X0,X2)
            | X2 = X3 )
        & ? [X1] : rp(X0,X1) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f30,plain,
    ! [X0] :
      ( ~ cc(X0)
      | ( ! [X2,X3] :
            ( ~ rp(X0,X3)
            | ~ rp(X0,X2)
            | X2 = X3 )
        & ? [X1] : rp(X0,X1) ) ),
    inference(flattening,[],[f29]) ).

fof(f31,plain,
    ( ? [X4] :
        ( cc(X4)
        & ? [X5,X6] :
            ( rp(X4,X6)
            & rp(X4,X5)
            & X5 != X6 ) )
    | ? [X2] :
        ( cc(X2)
        & ! [X3] : ~ rp(X2,X3) )
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f32,plain,
    ( ? [X4] :
        ( cc(X4)
        & ? [X5,X6] :
            ( rp(X4,X6)
            & rp(X4,X5)
            & X5 != X6 ) )
    | ? [X2] :
        ( cc(X2)
        & ! [X3] : ~ rp(X2,X3) )
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(flattening,[],[f31]) ).

fof(f35,plain,
    ! [X0] :
      ( ( ~ xsd_string(X0)
        | ~ xsd_integer(X0) )
      & ( xsd_integer(X0)
        | xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ cc(X0)
      | ( ! [X2,X3] :
            ( ~ rp(X0,X3)
            | ~ rp(X0,X2)
            | X2 = X3 )
        & rp(X0,sK1(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f30]) ).

fof(f40,plain,
    ( sP0
    | ? [X2] :
        ( cc(X2)
        & ! [X3] : ~ rp(X2,X3) )
    | ? [X1] :
        ( ( xsd_string(X1)
          | ~ xsd_integer(X1) )
        & ( ~ xsd_string(X1)
          | xsd_integer(X1) ) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(nnf_transformation,[],[f34]) ).

fof(f41,plain,
    ( sP0
    | ( cc(sK7)
      & ! [X3] : ~ rp(sK7,X3) )
    | ( ( xsd_string(sK6)
        | ~ xsd_integer(sK6) )
      & ( ~ xsd_string(sK6)
        | xsd_integer(sK6) ) )
    | cowlNothing(sK5)
    | ~ cowlThing(sK5) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7)],[f40]) ).

fof(f49,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f8]) ).

fof(f50,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f8]) ).

fof(f51,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f52,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f53,plain,
    ! [X2,X3,X0] :
      ( ~ cc(X0)
      | ~ rp(X0,X3)
      | ~ rp(X0,X2)
      | X2 = X3 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ cc(X0)
      | rp(X0,sK1(X0)) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f59,plain,
    ( sP0
    | cc(sK7)
    | xsd_string(sK6)
    | ~ xsd_integer(sK6)
    | cowlNothing(sK5)
    | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f60,plain,
    ! [X3] :
      ( sP0
      | ~ rp(sK7,X3)
      | xsd_string(sK6)
      | ~ xsd_integer(sK6)
      | cowlNothing(sK5)
      | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f61,plain,
    ( sP0
    | cc(sK7)
    | ~ xsd_string(sK6)
    | xsd_integer(sK6)
    | cowlNothing(sK5)
    | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f62,plain,
    ! [X3] :
      ( sP0
      | ~ rp(sK7,X3)
      | ~ xsd_string(sK6)
      | xsd_integer(sK6)
      | cowlNothing(sK5)
      | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_49,plain,
    ! [X0: $i] : cowlThing(X0),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_50,plain,
    ! [X0: $i] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_51,plain,
    ! [X0: $i] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_52,plain,
    ! [X0: $i] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_53,plain,
    ! [X0: $i] :
      ( rp(X0,sK1(X0))
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X2 )
      | ~ cc(X0)
      | ~ rp(X0,X2)
      | ~ rp(X0,X1) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_59,negated_conjecture,
    ! [X0: $i] :
      ( sP0
      | xsd_integer(sK6)
      | cowlNothing(sK5)
      | ~ xsd_string(sK6)
      | ~ cowlThing(sK5)
      | ~ rp(sK7,X0) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_60,negated_conjecture,
    ( sP0
    | cc(sK7)
    | xsd_integer(sK6)
    | cowlNothing(sK5)
    | ~ xsd_string(sK6)
    | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_61,negated_conjecture,
    ! [X0: $i] :
      ( sP0
      | xsd_string(sK6)
      | cowlNothing(sK5)
      | ~ xsd_integer(sK6)
      | ~ cowlThing(sK5)
      | ~ rp(sK7,X0) ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_62,negated_conjecture,
    ( sP0
    | cc(sK7)
    | xsd_string(sK6)
    | cowlNothing(sK5)
    | ~ xsd_integer(sK6)
    | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_63,plain,
    cowlThing(sK5),
    inference(instantiation,[status(thm)],[c_49]) ).

tcf(c_64,plain,
    ~ cowlNothing(sK5),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_71,negated_conjecture,
    ( sP0
    | cc(sK7)
    | xsd_string(sK6)
    | ~ xsd_integer(sK6) ),
    inference(global_subsumption_just,[status(thm)],[c_62,c_63,c_64,c_62]) ).

tcf(c_73,negated_conjecture,
    ( sP0
    | cc(sK7)
    | xsd_integer(sK6)
    | ~ xsd_string(sK6) ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_63,c_64,c_60]) ).

tcf(c_75,plain,
    ! [X0: $i] :
      ( sP0
      | xsd_string(sK6)
      | ~ rp(sK7,X0)
      | ~ xsd_integer(sK6) ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_63,c_64,c_61]) ).

tcf(c_76,negated_conjecture,
    ! [X0: $i] :
      ( sP0
      | xsd_string(sK6)
      | ~ xsd_integer(sK6)
      | ~ rp(sK7,X0) ),
    inference(renaming,[status(thm)],[c_75]) ).

tcf(c_78,plain,
    ! [X0: $i] :
      ( sP0
      | xsd_integer(sK6)
      | ~ rp(sK7,X0)
      | ~ xsd_string(sK6) ),
    inference(global_subsumption_just,[status(thm)],[c_59,c_63,c_64,c_59]) ).

tcf(c_79,negated_conjecture,
    ! [X0: $i] :
      ( sP0
      | xsd_integer(sK6)
      | ~ xsd_string(sK6)
      | ~ rp(sK7,X0) ),
    inference(renaming,[status(thm)],[c_78]) ).

tcf(c_81,plain,
    ! [X0: $i] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(prop_impl_just,[status(thm)],[c_52]) ).

tcf(c_82,plain,
    ! [X0: $i] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(renaming,[status(thm)],[c_81]) ).

tcf(c_83,plain,
    ! [X0: $i] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(prop_impl_just,[status(thm)],[c_51]) ).

tcf(c_84,plain,
    ! [X0: $i] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(renaming,[status(thm)],[c_83]) ).

tcf(c_85,plain,
    ! [X0: $i] :
      ( rp(X0,sK1(X0))
      | ~ cc(X0) ),
    inference(prop_impl_just,[status(thm)],[c_53]) ).

tcf(c_137,plain,
    ( sP0
    | cc(sK7)
    | xsd_integer(sK6) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_73,c_84]) ).

tcf(c_140,plain,
    ( sP0
    | cc(sK7)
    | xsd_string(sK6) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_71,c_84]) ).

tcf(c_141,plain,
    ! [X0: $i] :
      ( sP0
      | xsd_string(sK6)
      | ~ rp(sK7,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_76,c_84]) ).

tcf(c_267,plain,
    ! [X0: $i,X1: $i] :
      ( sP0
      | ~ xsd_integer(X0)
      | ~ rp(sK7,X1)
      | ( X0 != sK6 ) ),
    inference(resolution_lifted,[status(thm)],[c_82,c_141]) ).

tcf(c_268,plain,
    ! [X0: $i] :
      ( sP0
      | ~ xsd_integer(sK6)
      | ~ rp(sK7,X0) ),
    inference(unflattening,[status(thm)],[c_267]) ).

tcf(c_270,plain,
    ! [X0: $i] :
      ( sP0
      | ~ rp(sK7,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_268,c_79,c_141,c_268]) ).

tcf(c_279,plain,
    ! [X0: $i] :
      ( sP0
      | cc(sK7)
      | ~ xsd_integer(X0)
      | ( X0 != sK6 ) ),
    inference(resolution_lifted,[status(thm)],[c_82,c_140]) ).

tcf(c_280,plain,
    ( sP0
    | cc(sK7)
    | ~ xsd_integer(sK6) ),
    inference(unflattening,[status(thm)],[c_279]) ).

tcf(c_281,plain,
    ( sP0
    | cc(sK7) ),
    inference(global_subsumption_just,[status(thm)],[c_280,c_137,c_280]) ).

tcf(c_320,plain,
    ! [X0: $i] :
      ( sP0
      | rp(X0,sK1(X0))
      | ( X0 != sK7 ) ),
    inference(resolution_lifted,[status(thm)],[c_85,c_281]) ).

tcf(c_321,plain,
    ( sP0
    | rp(sK7,sK1(sK7)) ),
    inference(unflattening,[status(thm)],[c_320]) ).

tcf(c_326,plain,
    sP0,
    inference(forward_subsumption_resolution,[status(thm)],[c_321,c_270]) ).

fof(f33,definition,
    ( ~ sP0
    | ? [X4] :
        ( cc(X4)
        & ? [X5,X6] :
            ( rp(X4,X6)
            & rp(X4,X5)
            & X5 != X6 ) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f34,plain,
    ( sP0
    | ? [X2] :
        ( cc(X2)
        & ! [X3] : ~ rp(X2,X3) )
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(definition_folding,[],[f32,f33]) ).

fof(f37,plain,
    ( ~ sP0
    | ? [X4] :
        ( cc(X4)
        & ? [X5,X6] :
            ( rp(X4,X6)
            & rp(X4,X5)
            & X5 != X6 ) ) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f38,plain,
    ( ~ sP0
    | ? [X0] :
        ( cc(X0)
        & ? [X1,X2] :
            ( rp(X0,X2)
            & rp(X0,X1)
            & X1 != X2 ) ) ),
    inference(rectify,[],[f37]) ).

fof(f39,plain,
    ( ~ sP0
    | ( cc(sK2)
      & rp(sK2,sK4)
      & rp(sK2,sK3)
      & sK3 != sK4 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f38]) ).

fof(f55,plain,
    ( ~ sP0
    | cc(sK2) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f56,plain,
    ( ~ sP0
    | rp(sK2,sK4) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f57,plain,
    ( ~ sP0
    | rp(sK2,sK3) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f58,plain,
    ( ~ sP0
    | sK3 != sK4 ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_55,plain,
    ( ~ sP0
    | ( sK3 != sK4 ) ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_56,plain,
    ( rp(sK2,sK3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_57,plain,
    ( rp(sK2,sK4)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_58,plain,
    ( cc(sK2)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_87,plain,
    ( ~ sP0
    | ( sK3 != sK4 ) ),
    inference(prop_impl_just,[status(thm)],[c_55]) ).

tcf(c_91,plain,
    ( rp(sK2,sK3)
    | ~ sP0 ),
    inference(prop_impl_just,[status(thm)],[c_56]) ).

tcf(c_93,plain,
    ( rp(sK2,sK4)
    | ~ sP0 ),
    inference(prop_impl_just,[status(thm)],[c_57]) ).

tcf(c_95,plain,
    ( cc(sK2)
    | ~ sP0 ),
    inference(prop_impl_just,[status(thm)],[c_58]) ).

tcf(c_293,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X2 )
      | ~ sP0
      | ~ rp(X0,X2)
      | ~ rp(X0,X1)
      | ( X0 != sK2 ) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_95]) ).

tcf(c_294,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ sP0
      | ~ rp(sK2,X1)
      | ~ rp(sK2,X0) ),
    inference(unflattening,[status(thm)],[c_293]) ).

tcf(c_328,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ rp(sK2,X1)
      | ~ rp(sK2,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_294,c_326]) ).

tcf(c_332,plain,
    rp(sK2,sK4),
    inference(backward_subsumption_resolution,[status(thm)],[c_93,c_326]) ).

tcf(c_333,plain,
    sK3 != sK4,
    inference(backward_subsumption_resolution,[status(thm)],[c_87,c_326]) ).

tcf(c_334,plain,
    rp(sK2,sK3),
    inference(backward_subsumption_resolution,[status(thm)],[c_91,c_326]) ).

tcf(c_362,plain,
    rp(sK2,sK3),
    inference(demodulation,[status(thm)],[c_334]) ).

tcf(c_363,plain,
    sK3 != sK4,
    inference(demodulation,[status(thm)],[c_333]) ).

tcf(c_364,plain,
    rp(sK2,sK4),
    inference(demodulation,[status(thm)],[c_332]) ).

tcf(c_366,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ rp(sK2,X1)
      | ~ rp(sK2,X0) ),
    inference(demodulation,[status(thm)],[c_328]) ).

tcf(c_452,plain,
    ! [X0: $i] :
      ( ( X0 = sK3 )
      | ~ rp(sK2,X0) ),
    inference(superposition,[status(thm)],[c_362,c_366]) ).

tcf(c_469,plain,
    sK3 = sK4,
    inference(superposition,[status(thm)],[c_364,c_452]) ).

tcf(c_471,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_469,c_363]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS142+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38  % Computer : n026.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Wed Sep 23 19:32:54 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  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
% 0.12/0.44  
% 0.12/0.44  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44  
% 0.12/0.44  % Detected problem language: tptp
% 0.12/0.45  % Proving...
% 1.77/1.30  % SZS status Started for theBenchmark.p
% 1.77/1.30  % SZS status Theorem for theBenchmark.p
% 1.77/1.30  
% 1.77/1.30  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.77/1.30  
% 1.77/1.30  % ------  iProver source info
% 1.77/1.30  
% 1.77/1.30  % git: date: 2026-07-19 20:42:38 +0200
% 1.77/1.30  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.77/1.30  % git: non_committed_changes: false
% 1.77/1.30  
% 1.77/1.30  % ------ Parsing...
% 1.77/1.30  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.77/1.30  
% 1.77/1.30  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e % 
% 1.77/1.30  
% 1.77/1.30  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.77/1.30  
% 1.77/1.30  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.77/1.30  % ------ Proving...
% 1.77/1.30  % ------ Problem Properties 
% 1.77/1.30  
% 1.77/1.30  % 
% 1.77/1.30  % clauses                               6
% 1.77/1.30  % conjectures                           0
% 1.77/1.30  % EPR                                   5
% 1.77/1.30  % Horn                                  6
% 1.77/1.30  % unary                                 5
% 1.77/1.30  % binary                                0
% 1.77/1.30  % lits                                  8
% 1.77/1.30  % lits eq                               3
% 1.77/1.30  % fd_pure                               0
% 1.77/1.30  % fd_pseudo                             0
% 1.77/1.30  % fd_cond                               0
% 1.77/1.30  % fd_pseudo_cond                        1
% 1.77/1.30  % AC symbols                            0
% 1.77/1.30  
% 1.77/1.30  % ------ Schedule dynamic 5 is on 
% 1.77/1.30  
% 1.77/1.30  % ------ no conjectures: strip conj schedule 
% 1.77/1.30  
% 1.77/1.30  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.77/1.30  
% 1.77/1.30  
% 1.77/1.30  % ------ 
% 1.77/1.30  % Current options:
% 1.77/1.30  % ------ 
% 1.77/1.30  
% 1.77/1.30  
% 1.77/1.30  % 
% 1.77/1.30  
% 1.77/1.30  % ------ Proving...
% 1.77/1.30  % 
% 1.77/1.30  
% 1.77/1.30  % SZS status Theorem for theBenchmark.p
% 1.77/1.30  
% 1.77/1.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.77/1.30  
% 1.77/1.30  
%------------------------------------------------------------------------------