TSTP Solution File: KRS143+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : KRS143+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:33:45 EDT 2024

% Result   : Theorem 1.66s 1.25s
% Output   : CNFRefutation 1.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   93 (  11 unt;   0 def)
%            Number of atoms       :  370 (  33 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  449 ( 172   ~; 207   |;  46   &)
%                                         (   5 <=>;  17  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :  133 (  31 sgn  57   !;  31   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X3] :
      ( ~ cowlNothing(X3)
      & cowlThing(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(f9,axiom,
    ! [X3] :
      ( xsd_string(X3)
    <=> ~ xsd_integer(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f10,axiom,
    ! [X3] :
      ( cc(X3)
     => ? [X4] : rp(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f11,axiom,
    ! [X3] :
      ( cc(X3)
     => ! [X4,X5] :
          ( ( rp(X3,X5)
            & rp(X3,X4) )
         => X4 = X5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f12,conjecture,
    ( ! [X3] :
        ( cc(X3)
       => ( ! [X4,X5] :
              ( ( rp(X3,X5)
                & rp(X3,X4) )
             => X4 = X5 )
          & ? [X4] : rp(X3,X4) ) )
    & ! [X3] :
        ( xsd_string(X3)
      <=> ~ xsd_integer(X3) )
    & ! [X3] :
        ( ~ cowlNothing(X3)
        & cowlThing(X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(f13,negated_conjecture,
    ~ ( ! [X3] :
          ( cc(X3)
         => ( ! [X4,X5] :
                ( ( rp(X3,X5)
                  & rp(X3,X4) )
               => X4 = X5 )
            & ? [X4] : rp(X3,X4) ) )
      & ! [X3] :
          ( xsd_string(X3)
        <=> ~ xsd_integer(X3) )
      & ! [X3] :
          ( ~ cowlNothing(X3)
          & cowlThing(X3) ) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f14,plain,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    inference(rectify,[],[f8]) ).

fof(f15,plain,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    inference(rectify,[],[f9]) ).

fof(f16,plain,
    ! [X0] :
      ( cc(X0)
     => ? [X1] : rp(X0,X1) ),
    inference(rectify,[],[f10]) ).

fof(f17,plain,
    ! [X0] :
      ( cc(X0)
     => ! [X1,X2] :
          ( ( rp(X0,X2)
            & rp(X0,X1) )
         => X1 = X2 ) ),
    inference(rectify,[],[f11]) ).

fof(f18,plain,
    ~ ( ! [X0] :
          ( cc(X0)
         => ( ! [X1,X2] :
                ( ( rp(X0,X2)
                  & rp(X0,X1) )
               => X1 = X2 )
            & ? [X3] : rp(X0,X3) ) )
      & ! [X4] :
          ( xsd_string(X4)
        <=> ~ xsd_integer(X4) )
      & ! [X5] :
          ( ~ cowlNothing(X5)
          & cowlThing(X5) ) ),
    inference(rectify,[],[f13]) ).

fof(f33,plain,
    ! [X0] :
      ( ? [X1] : rp(X0,X1)
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f34,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ~ rp(X0,X2)
          | ~ rp(X0,X1) )
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f35,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ~ rp(X0,X2)
          | ~ rp(X0,X1) )
      | ~ cc(X0) ),
    inference(flattening,[],[f34]) ).

fof(f36,plain,
    ( ? [X0] :
        ( ( ? [X1,X2] :
              ( X1 != X2
              & rp(X0,X2)
              & rp(X0,X1) )
          | ! [X3] : ~ rp(X0,X3) )
        & cc(X0) )
    | ? [X4] :
        ( xsd_string(X4)
      <~> ~ xsd_integer(X4) )
    | ? [X5] :
        ( cowlNothing(X5)
        | ~ cowlThing(X5) ) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f37,plain,
    ( ? [X0] :
        ( ( ? [X1,X2] :
              ( X1 != X2
              & rp(X0,X2)
              & rp(X0,X1) )
          | ! [X3] : ~ rp(X0,X3) )
        & cc(X0) )
    | ? [X4] :
        ( xsd_string(X4)
      <~> ~ xsd_integer(X4) )
    | ? [X5] :
        ( cowlNothing(X5)
        | ~ cowlThing(X5) ) ),
    inference(flattening,[],[f36]) ).

fof(f38,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f39,plain,
    ! [X0] :
      ( ? [X1] : rp(X0,X1)
     => rp(X0,sK0(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ! [X0] :
      ( rp(X0,sK0(X0))
      | ~ cc(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f33,f39]) ).

fof(f41,plain,
    ( ? [X0] :
        ( ( ? [X1,X2] :
              ( X1 != X2
              & rp(X0,X2)
              & rp(X0,X1) )
          | ! [X3] : ~ rp(X0,X3) )
        & cc(X0) )
    | ? [X4] :
        ( ( xsd_integer(X4)
          | ~ xsd_string(X4) )
        & ( ~ xsd_integer(X4)
          | xsd_string(X4) ) )
    | ? [X5] :
        ( cowlNothing(X5)
        | ~ cowlThing(X5) ) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f42,plain,
    ( ? [X0] :
        ( ( ? [X1,X2] :
              ( X1 != X2
              & rp(X0,X2)
              & rp(X0,X1) )
          | ! [X3] : ~ rp(X0,X3) )
        & cc(X0) )
   => ( ( ? [X2,X1] :
            ( X1 != X2
            & rp(sK1,X2)
            & rp(sK1,X1) )
        | ! [X3] : ~ rp(sK1,X3) )
      & cc(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ( ? [X2,X1] :
        ( X1 != X2
        & rp(sK1,X2)
        & rp(sK1,X1) )
   => ( sK2 != sK3
      & rp(sK1,sK3)
      & rp(sK1,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f44,plain,
    ( ? [X4] :
        ( ( xsd_integer(X4)
          | ~ xsd_string(X4) )
        & ( ~ xsd_integer(X4)
          | xsd_string(X4) ) )
   => ( ( xsd_integer(sK4)
        | ~ xsd_string(sK4) )
      & ( ~ xsd_integer(sK4)
        | xsd_string(sK4) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ( ? [X5] :
        ( cowlNothing(X5)
        | ~ cowlThing(X5) )
   => ( cowlNothing(sK5)
      | ~ cowlThing(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f46,plain,
    ( ( ( ( sK2 != sK3
          & rp(sK1,sK3)
          & rp(sK1,sK2) )
        | ! [X3] : ~ rp(sK1,X3) )
      & cc(sK1) )
    | ( ( xsd_integer(sK4)
        | ~ xsd_string(sK4) )
      & ( ~ xsd_integer(sK4)
        | xsd_string(sK4) ) )
    | cowlNothing(sK5)
    | ~ cowlThing(sK5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f41,f45,f44,f43,f42]) ).

fof(f54,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f14]) ).

fof(f55,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f14]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f57,plain,
    ! [X0] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f58,plain,
    ! [X0] :
      ( rp(X0,sK0(X0))
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f59,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ rp(X0,X2)
      | ~ rp(X0,X1)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f60,plain,
    ( cc(sK1)
    | ~ xsd_integer(sK4)
    | xsd_string(sK4)
    | cowlNothing(sK5)
    | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f61,plain,
    ( cc(sK1)
    | xsd_integer(sK4)
    | ~ xsd_string(sK4)
    | cowlNothing(sK5)
    | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f62,plain,
    ! [X3] :
      ( rp(sK1,sK2)
      | ~ rp(sK1,X3)
      | ~ xsd_integer(sK4)
      | xsd_string(sK4)
      | cowlNothing(sK5)
      | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f63,plain,
    ! [X3] :
      ( rp(sK1,sK2)
      | ~ rp(sK1,X3)
      | xsd_integer(sK4)
      | ~ xsd_string(sK4)
      | cowlNothing(sK5)
      | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f64,plain,
    ! [X3] :
      ( rp(sK1,sK3)
      | ~ rp(sK1,X3)
      | ~ xsd_integer(sK4)
      | xsd_string(sK4)
      | cowlNothing(sK5)
      | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f65,plain,
    ! [X3] :
      ( rp(sK1,sK3)
      | ~ rp(sK1,X3)
      | xsd_integer(sK4)
      | ~ xsd_string(sK4)
      | cowlNothing(sK5)
      | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f66,plain,
    ! [X3] :
      ( sK2 != sK3
      | ~ rp(sK1,X3)
      | ~ xsd_integer(sK4)
      | xsd_string(sK4)
      | cowlNothing(sK5)
      | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f67,plain,
    ! [X3] :
      ( sK2 != sK3
      | ~ rp(sK1,X3)
      | xsd_integer(sK4)
      | ~ xsd_string(sK4)
      | cowlNothing(sK5)
      | ~ cowlThing(sK5) ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_49,plain,
    ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f55]) ).

cnf(c_50,plain,
    cowlThing(X0),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_51,plain,
    ( xsd_string(X0)
    | xsd_integer(X0) ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_52,plain,
    ( ~ xsd_string(X0)
    | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_53,plain,
    ( ~ cc(X0)
    | rp(X0,sK0(X0)) ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_54,plain,
    ( ~ rp(X0,X1)
    | ~ rp(X0,X2)
    | ~ cc(X0)
    | X1 = X2 ),
    inference(cnf_transformation,[],[f59]) ).

cnf(c_55,negated_conjecture,
    ( sK2 != sK3
    | ~ rp(sK1,X0)
    | ~ cowlThing(sK5)
    | ~ xsd_string(sK4)
    | cowlNothing(sK5)
    | xsd_integer(sK4) ),
    inference(cnf_transformation,[],[f67]) ).

cnf(c_56,negated_conjecture,
    ( sK2 != sK3
    | ~ rp(sK1,X0)
    | ~ cowlThing(sK5)
    | ~ xsd_integer(sK4)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_57,negated_conjecture,
    ( ~ rp(sK1,X0)
    | ~ cowlThing(sK5)
    | ~ xsd_string(sK4)
    | rp(sK1,sK3)
    | cowlNothing(sK5)
    | xsd_integer(sK4) ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_58,negated_conjecture,
    ( ~ rp(sK1,X0)
    | ~ cowlThing(sK5)
    | ~ xsd_integer(sK4)
    | rp(sK1,sK3)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_59,negated_conjecture,
    ( ~ rp(sK1,X0)
    | ~ cowlThing(sK5)
    | ~ xsd_string(sK4)
    | rp(sK1,sK2)
    | cowlNothing(sK5)
    | xsd_integer(sK4) ),
    inference(cnf_transformation,[],[f63]) ).

cnf(c_60,negated_conjecture,
    ( ~ rp(sK1,X0)
    | ~ cowlThing(sK5)
    | ~ xsd_integer(sK4)
    | rp(sK1,sK2)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_61,negated_conjecture,
    ( ~ cowlThing(sK5)
    | ~ xsd_string(sK4)
    | cowlNothing(sK5)
    | xsd_integer(sK4)
    | cc(sK1) ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_62,negated_conjecture,
    ( ~ cowlThing(sK5)
    | ~ xsd_integer(sK4)
    | cowlNothing(sK5)
    | xsd_string(sK4)
    | cc(sK1) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_65,plain,
    ( xsd_string(sK4)
    | xsd_integer(sK4) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_66,plain,
    ( ~ xsd_string(sK4)
    | ~ xsd_integer(sK4) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_75,negated_conjecture,
    ( ~ cowlThing(sK5)
    | cowlNothing(sK5)
    | xsd_string(sK4)
    | cc(sK1) ),
    inference(global_subsumption_just,[status(thm)],[c_62,c_65,c_62]) ).

cnf(c_77,plain,
    ( cowlNothing(sK5)
    | ~ cowlThing(sK5)
    | cc(sK1) ),
    inference(global_subsumption_just,[status(thm)],[c_75,c_66,c_61,c_75]) ).

cnf(c_78,negated_conjecture,
    ( ~ cowlThing(sK5)
    | cowlNothing(sK5)
    | cc(sK1) ),
    inference(renaming,[status(thm)],[c_77]) ).

cnf(c_81,plain,
    ( ~ cowlThing(sK5)
    | ~ rp(sK1,X0)
    | rp(sK1,sK2)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_65,c_66,c_60,c_59]) ).

cnf(c_82,negated_conjecture,
    ( ~ rp(sK1,X0)
    | ~ cowlThing(sK5)
    | rp(sK1,sK2)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(renaming,[status(thm)],[c_81]) ).

cnf(c_84,plain,
    ( cowlNothing(sK5)
    | rp(sK1,sK2)
    | ~ cowlThing(sK5)
    | ~ rp(sK1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_82,c_66,c_59,c_82]) ).

cnf(c_85,negated_conjecture,
    ( ~ rp(sK1,X0)
    | ~ cowlThing(sK5)
    | rp(sK1,sK2)
    | cowlNothing(sK5) ),
    inference(renaming,[status(thm)],[c_84]) ).

cnf(c_87,plain,
    ( cowlNothing(sK5)
    | rp(sK1,sK2)
    | ~ rp(sK1,X0)
    | ~ cowlThing(sK5) ),
    inference(global_subsumption_just,[status(thm)],[c_59,c_85]) ).

cnf(c_88,negated_conjecture,
    ( ~ rp(sK1,X0)
    | ~ cowlThing(sK5)
    | rp(sK1,sK2)
    | cowlNothing(sK5) ),
    inference(renaming,[status(thm)],[c_87]) ).

cnf(c_89,plain,
    ( ~ cowlThing(sK5)
    | ~ rp(sK1,X0)
    | rp(sK1,sK3)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(global_subsumption_just,[status(thm)],[c_58,c_65,c_66,c_58,c_57]) ).

cnf(c_90,negated_conjecture,
    ( ~ rp(sK1,X0)
    | ~ cowlThing(sK5)
    | rp(sK1,sK3)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(renaming,[status(thm)],[c_89]) ).

cnf(c_92,plain,
    ( cowlNothing(sK5)
    | rp(sK1,sK3)
    | ~ cowlThing(sK5)
    | ~ rp(sK1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_90,c_66,c_57,c_90]) ).

cnf(c_93,negated_conjecture,
    ( ~ rp(sK1,X0)
    | ~ cowlThing(sK5)
    | rp(sK1,sK3)
    | cowlNothing(sK5) ),
    inference(renaming,[status(thm)],[c_92]) ).

cnf(c_95,plain,
    ( cowlNothing(sK5)
    | rp(sK1,sK3)
    | ~ rp(sK1,X0)
    | ~ cowlThing(sK5) ),
    inference(global_subsumption_just,[status(thm)],[c_57,c_93]) ).

cnf(c_96,negated_conjecture,
    ( ~ rp(sK1,X0)
    | ~ cowlThing(sK5)
    | rp(sK1,sK3)
    | cowlNothing(sK5) ),
    inference(renaming,[status(thm)],[c_95]) ).

cnf(c_97,plain,
    ( ~ cowlThing(sK5)
    | ~ rp(sK1,X0)
    | sK2 != sK3
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(global_subsumption_just,[status(thm)],[c_56,c_65,c_66,c_56,c_55]) ).

cnf(c_98,negated_conjecture,
    ( sK2 != sK3
    | ~ rp(sK1,X0)
    | ~ cowlThing(sK5)
    | cowlNothing(sK5)
    | xsd_string(sK4) ),
    inference(renaming,[status(thm)],[c_97]) ).

cnf(c_100,plain,
    ( cowlNothing(sK5)
    | ~ cowlThing(sK5)
    | ~ rp(sK1,X0)
    | sK2 != sK3 ),
    inference(global_subsumption_just,[status(thm)],[c_98,c_66,c_55,c_98]) ).

cnf(c_101,negated_conjecture,
    ( sK2 != sK3
    | ~ rp(sK1,X0)
    | ~ cowlThing(sK5)
    | cowlNothing(sK5) ),
    inference(renaming,[status(thm)],[c_100]) ).

cnf(c_109,plain,
    ( ~ cc(X0)
    | rp(X0,sK0(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_53]) ).

cnf(c_135,plain,
    ( cowlNothing(sK5)
    | cc(sK1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_78,c_50]) ).

cnf(c_136,plain,
    ( ~ rp(sK1,X0)
    | rp(sK1,sK3)
    | cowlNothing(sK5) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_96,c_50]) ).

cnf(c_137,plain,
    ( ~ rp(sK1,X0)
    | rp(sK1,sK2)
    | cowlNothing(sK5) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_88,c_50]) ).

cnf(c_138,plain,
    ( sK2 != sK3
    | ~ rp(sK1,X0)
    | cowlNothing(sK5) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_101,c_50]) ).

cnf(c_144,plain,
    cc(sK1),
    inference(backward_subsumption_resolution,[status(thm)],[c_135,c_49]) ).

cnf(c_145,plain,
    ( sK2 != sK3
    | ~ rp(sK1,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_138,c_49]) ).

cnf(c_146,plain,
    ( ~ rp(sK1,X0)
    | rp(sK1,sK2) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_137,c_49]) ).

cnf(c_147,plain,
    ( ~ rp(sK1,X0)
    | rp(sK1,sK3) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_136,c_49]) ).

cnf(c_220,plain,
    ( X0 != sK1
    | ~ rp(X0,X1)
    | ~ rp(X0,X2)
    | X1 = X2 ),
    inference(resolution_lifted,[status(thm)],[c_54,c_144]) ).

cnf(c_221,plain,
    ( ~ rp(sK1,X0)
    | ~ rp(sK1,X1)
    | X0 = X1 ),
    inference(unflattening,[status(thm)],[c_220]) ).

cnf(c_232,plain,
    ( X0 != sK1
    | rp(X0,sK0(X0)) ),
    inference(resolution_lifted,[status(thm)],[c_109,c_144]) ).

cnf(c_233,plain,
    rp(sK1,sK0(sK1)),
    inference(unflattening,[status(thm)],[c_232]) ).

cnf(c_382,plain,
    rp(sK1,sK3),
    inference(superposition,[status(thm)],[c_233,c_147]) ).

cnf(c_383,plain,
    rp(sK1,sK2),
    inference(superposition,[status(thm)],[c_233,c_146]) ).

cnf(c_390,plain,
    ( ~ rp(sK1,X0)
    | X0 = sK3 ),
    inference(superposition,[status(thm)],[c_382,c_221]) ).

cnf(c_407,plain,
    sK2 = sK3,
    inference(superposition,[status(thm)],[c_383,c_390]) ).

cnf(c_409,plain,
    ~ rp(sK1,X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_145,c_407]) ).

cnf(c_412,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_233,c_409]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : KRS143+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n008.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May  2 22:38:57 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.66/1.25  % SZS status Started for theBenchmark.p
% 1.66/1.25  % SZS status Theorem for theBenchmark.p
% 1.66/1.25  
% 1.66/1.25  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.66/1.25  
% 1.66/1.25  ------  iProver source info
% 1.66/1.25  
% 1.66/1.25  git: date: 2024-05-02 19:28:25 +0000
% 1.66/1.25  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.66/1.25  git: non_committed_changes: false
% 1.66/1.25  
% 1.66/1.25  ------ Parsing...
% 1.66/1.25  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.66/1.25  
% 1.66/1.25  ------ Preprocessing... sup_sim: 0  sf_s  rm: 5 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 1.66/1.25  
% 1.66/1.25  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.66/1.25  
% 1.66/1.25  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.66/1.25  ------ Proving...
% 1.66/1.25  ------ Problem Properties 
% 1.66/1.25  
% 1.66/1.25  
% 1.66/1.25  clauses                                 5
% 1.66/1.25  conjectures                             0
% 1.66/1.25  EPR                                     4
% 1.66/1.25  Horn                                    5
% 1.66/1.25  unary                                   1
% 1.66/1.25  binary                                  3
% 1.66/1.25  lits                                    10
% 1.66/1.25  lits eq                                 2
% 1.66/1.25  fd_pure                                 0
% 1.66/1.25  fd_pseudo                               0
% 1.66/1.25  fd_cond                                 0
% 1.66/1.25  fd_pseudo_cond                          1
% 1.66/1.25  AC symbols                              0
% 1.66/1.25  
% 1.66/1.25  ------ Schedule dynamic 5 is on 
% 1.66/1.25  
% 1.66/1.25  ------ no conjectures: strip conj schedule 
% 1.66/1.25  
% 1.66/1.25  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.66/1.25  
% 1.66/1.25  
% 1.66/1.25  ------ 
% 1.66/1.25  Current options:
% 1.66/1.25  ------ 
% 1.66/1.25  
% 1.66/1.25  
% 1.66/1.25  
% 1.66/1.25  
% 1.66/1.25  ------ Proving...
% 1.66/1.25  
% 1.66/1.25  
% 1.66/1.25  % SZS status Theorem for theBenchmark.p
% 1.66/1.25  
% 1.66/1.25  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.66/1.25  
% 1.66/1.25  
%------------------------------------------------------------------------------