TSTP Solution File: KRS121+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : KRS121+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.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 02:33:41 EDT 2024

% Result   : Unsatisfiable 2.56s 1.21s
% Output   : CNFRefutation 2.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   91 (   4 unt;   0 def)
%            Number of atoms       :  288 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  328 ( 131   ~; 120   |;  54   &)
%                                         (  14 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :  153 (   3 sgn  90   !;  25   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,axiom,
    ! [X3] :
      ( cUnsatisfiable(X3)
    <=> ( cp1(X3)
        & ? [X4] :
            ( ca_Vx3(X4)
            & rr(X3,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f23,axiom,
    ! [X3] :
      ( cp1(X3)
    <=> ~ ? [X4] : ra_Px1(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f24,axiom,
    ! [X3] :
      ( cp1xcomp(X3)
    <=> ? [X5] : ra_Px1(X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f25,axiom,
    ! [X3] :
      ( ca_Ax2(X3)
    <=> ( ! [X4] :
            ( rinvR(X3,X4)
           => cp1xcomp(X4) )
        & cp1(X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f26,axiom,
    ! [X3] :
      ( ca_Vx3(X3)
    <=> ? [X4] :
          ( ca_Ax2(X4)
          & rr(X3,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f29,axiom,
    ! [X3,X4] :
      ( rinvR(X3,X4)
    <=> rr(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f30,axiom,
    ! [X3,X4,X6] :
      ( ( rr(X4,X6)
        & rr(X3,X4) )
     => rr(X3,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

fof(f31,axiom,
    cUnsatisfiable(i2003_11_14_17_21_5199),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

fof(f34,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( cp1(X0)
        & ? [X1] :
            ( ca_Vx3(X1)
            & rr(X0,X1) ) ) ),
    inference(rectify,[],[f22]) ).

fof(f35,plain,
    ! [X0] :
      ( cp1(X0)
    <=> ~ ? [X1] : ra_Px1(X0,X1) ),
    inference(rectify,[],[f23]) ).

fof(f36,plain,
    ! [X0] :
      ( cp1xcomp(X0)
    <=> ? [X1] : ra_Px1(X0,X1) ),
    inference(rectify,[],[f24]) ).

fof(f37,plain,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ! [X1] :
            ( rinvR(X0,X1)
           => cp1xcomp(X1) )
        & cp1(X0) ) ),
    inference(rectify,[],[f25]) ).

fof(f38,plain,
    ! [X0] :
      ( ca_Vx3(X0)
    <=> ? [X1] :
          ( ca_Ax2(X1)
          & rr(X0,X1) ) ),
    inference(rectify,[],[f26]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( rinvR(X0,X1)
    <=> rr(X1,X0) ),
    inference(rectify,[],[f29]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( ( rr(X1,X2)
        & rr(X0,X1) )
     => rr(X0,X2) ),
    inference(rectify,[],[f30]) ).

fof(f81,plain,
    ! [X0] :
      ( cp1(X0)
    <=> ! [X1] : ~ ra_Px1(X0,X1) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f82,plain,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ! [X1] :
            ( cp1xcomp(X1)
            | ~ rinvR(X0,X1) )
        & cp1(X0) ) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( rr(X0,X2)
      | ~ rr(X1,X2)
      | ~ rr(X0,X1) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f86,plain,
    ! [X0,X1,X2] :
      ( rr(X0,X2)
      | ~ rr(X1,X2)
      | ~ rr(X0,X1) ),
    inference(flattening,[],[f85]) ).

fof(f88,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ cp1(X0)
        | ! [X1] :
            ( ~ ca_Vx3(X1)
            | ~ rr(X0,X1) ) )
      & ( ( cp1(X0)
          & ? [X1] :
              ( ca_Vx3(X1)
              & rr(X0,X1) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f34]) ).

fof(f89,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ cp1(X0)
        | ! [X1] :
            ( ~ ca_Vx3(X1)
            | ~ rr(X0,X1) ) )
      & ( ( cp1(X0)
          & ? [X1] :
              ( ca_Vx3(X1)
              & rr(X0,X1) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f88]) ).

fof(f90,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ cp1(X0)
        | ! [X1] :
            ( ~ ca_Vx3(X1)
            | ~ rr(X0,X1) ) )
      & ( ( cp1(X0)
          & ? [X2] :
              ( ca_Vx3(X2)
              & rr(X0,X2) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f89]) ).

fof(f91,plain,
    ! [X0] :
      ( ? [X2] :
          ( ca_Vx3(X2)
          & rr(X0,X2) )
     => ( ca_Vx3(sK0(X0))
        & rr(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f92,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ cp1(X0)
        | ! [X1] :
            ( ~ ca_Vx3(X1)
            | ~ rr(X0,X1) ) )
      & ( ( cp1(X0)
          & ca_Vx3(sK0(X0))
          & rr(X0,sK0(X0)) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f90,f91]) ).

fof(f93,plain,
    ! [X0] :
      ( ( cp1(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X1] : ~ ra_Px1(X0,X1)
        | ~ cp1(X0) ) ),
    inference(nnf_transformation,[],[f81]) ).

fof(f94,plain,
    ! [X0] :
      ( ( cp1(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cp1(X0) ) ),
    inference(rectify,[],[f93]) ).

fof(f95,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
     => ra_Px1(X0,sK1(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f96,plain,
    ! [X0] :
      ( ( cp1(X0)
        | ra_Px1(X0,sK1(X0)) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cp1(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f94,f95]) ).

fof(f97,plain,
    ! [X0] :
      ( ( cp1xcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X1] : ra_Px1(X0,X1)
        | ~ cp1xcomp(X0) ) ),
    inference(nnf_transformation,[],[f36]) ).

fof(f98,plain,
    ! [X0] :
      ( ( cp1xcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X2] : ra_Px1(X0,X2)
        | ~ cp1xcomp(X0) ) ),
    inference(rectify,[],[f97]) ).

fof(f99,plain,
    ! [X0] :
      ( ? [X2] : ra_Px1(X0,X2)
     => ra_Px1(X0,sK2(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ! [X0] :
      ( ( cp1xcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ra_Px1(X0,sK2(X0))
        | ~ cp1xcomp(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f98,f99]) ).

fof(f101,plain,
    ! [X0] :
      ( ( ca_Ax2(X0)
        | ? [X1] :
            ( ~ cp1xcomp(X1)
            & rinvR(X0,X1) )
        | ~ cp1(X0) )
      & ( ( ! [X1] :
              ( cp1xcomp(X1)
              | ~ rinvR(X0,X1) )
          & cp1(X0) )
        | ~ ca_Ax2(X0) ) ),
    inference(nnf_transformation,[],[f82]) ).

fof(f102,plain,
    ! [X0] :
      ( ( ca_Ax2(X0)
        | ? [X1] :
            ( ~ cp1xcomp(X1)
            & rinvR(X0,X1) )
        | ~ cp1(X0) )
      & ( ( ! [X1] :
              ( cp1xcomp(X1)
              | ~ rinvR(X0,X1) )
          & cp1(X0) )
        | ~ ca_Ax2(X0) ) ),
    inference(flattening,[],[f101]) ).

fof(f103,plain,
    ! [X0] :
      ( ( ca_Ax2(X0)
        | ? [X1] :
            ( ~ cp1xcomp(X1)
            & rinvR(X0,X1) )
        | ~ cp1(X0) )
      & ( ( ! [X2] :
              ( cp1xcomp(X2)
              | ~ rinvR(X0,X2) )
          & cp1(X0) )
        | ~ ca_Ax2(X0) ) ),
    inference(rectify,[],[f102]) ).

fof(f104,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ cp1xcomp(X1)
          & rinvR(X0,X1) )
     => ( ~ cp1xcomp(sK3(X0))
        & rinvR(X0,sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f105,plain,
    ! [X0] :
      ( ( ca_Ax2(X0)
        | ( ~ cp1xcomp(sK3(X0))
          & rinvR(X0,sK3(X0)) )
        | ~ cp1(X0) )
      & ( ( ! [X2] :
              ( cp1xcomp(X2)
              | ~ rinvR(X0,X2) )
          & cp1(X0) )
        | ~ ca_Ax2(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f103,f104]) ).

fof(f106,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ ca_Ax2(X1)
            | ~ rr(X0,X1) ) )
      & ( ? [X1] :
            ( ca_Ax2(X1)
            & rr(X0,X1) )
        | ~ ca_Vx3(X0) ) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f107,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ ca_Ax2(X1)
            | ~ rr(X0,X1) ) )
      & ( ? [X2] :
            ( ca_Ax2(X2)
            & rr(X0,X2) )
        | ~ ca_Vx3(X0) ) ),
    inference(rectify,[],[f106]) ).

fof(f108,plain,
    ! [X0] :
      ( ? [X2] :
          ( ca_Ax2(X2)
          & rr(X0,X2) )
     => ( ca_Ax2(sK4(X0))
        & rr(X0,sK4(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f109,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ ca_Ax2(X1)
            | ~ rr(X0,X1) ) )
      & ( ( ca_Ax2(sK4(X0))
          & rr(X0,sK4(X0)) )
        | ~ ca_Vx3(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f107,f108]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ( rinvR(X0,X1)
        | ~ rr(X1,X0) )
      & ( rr(X1,X0)
        | ~ rinvR(X0,X1) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f135,plain,
    ! [X0] :
      ( rr(X0,sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f136,plain,
    ! [X0] :
      ( ca_Vx3(sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f137,plain,
    ! [X0] :
      ( cp1(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f139,plain,
    ! [X2,X0] :
      ( ~ ra_Px1(X0,X2)
      | ~ cp1(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f141,plain,
    ! [X0] :
      ( ra_Px1(X0,sK2(X0))
      | ~ cp1xcomp(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f144,plain,
    ! [X2,X0] :
      ( cp1xcomp(X2)
      | ~ rinvR(X0,X2)
      | ~ ca_Ax2(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f147,plain,
    ! [X0] :
      ( rr(X0,sK4(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f148,plain,
    ! [X0] :
      ( ca_Ax2(sK4(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ca_Vx3(X0)
      | ~ ca_Ax2(X1)
      | ~ rr(X0,X1) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( rinvR(X0,X1)
      | ~ rr(X1,X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f155,plain,
    ! [X2,X0,X1] :
      ( rr(X0,X2)
      | ~ rr(X1,X2)
      | ~ rr(X0,X1) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f156,plain,
    cUnsatisfiable(i2003_11_14_17_21_5199),
    inference(cnf_transformation,[],[f31]) ).

cnf(c_54,plain,
    ( ~ cUnsatisfiable(X0)
    | cp1(X0) ),
    inference(cnf_transformation,[],[f137]) ).

cnf(c_55,plain,
    ( ~ cUnsatisfiable(X0)
    | ca_Vx3(sK0(X0)) ),
    inference(cnf_transformation,[],[f136]) ).

cnf(c_56,plain,
    ( ~ cUnsatisfiable(X0)
    | rr(X0,sK0(X0)) ),
    inference(cnf_transformation,[],[f135]) ).

cnf(c_58,plain,
    ( ~ ra_Px1(X0,X1)
    | ~ cp1(X0) ),
    inference(cnf_transformation,[],[f139]) ).

cnf(c_60,plain,
    ( ~ cp1xcomp(X0)
    | ra_Px1(X0,sK2(X0)) ),
    inference(cnf_transformation,[],[f141]) ).

cnf(c_63,plain,
    ( ~ rinvR(X0,X1)
    | ~ ca_Ax2(X0)
    | cp1xcomp(X1) ),
    inference(cnf_transformation,[],[f144]) ).

cnf(c_65,plain,
    ( ~ rr(X0,X1)
    | ~ ca_Ax2(X1)
    | ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f149]) ).

cnf(c_66,plain,
    ( ~ ca_Vx3(X0)
    | ca_Ax2(sK4(X0)) ),
    inference(cnf_transformation,[],[f148]) ).

cnf(c_67,plain,
    ( ~ ca_Vx3(X0)
    | rr(X0,sK4(X0)) ),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_71,plain,
    ( ~ rr(X0,X1)
    | rinvR(X1,X0) ),
    inference(cnf_transformation,[],[f154]) ).

cnf(c_73,plain,
    ( ~ rr(X0,X1)
    | ~ rr(X1,X2)
    | rr(X0,X2) ),
    inference(cnf_transformation,[],[f155]) ).

cnf(c_74,plain,
    cUnsatisfiable(i2003_11_14_17_21_5199),
    inference(cnf_transformation,[],[f156]) ).

cnf(c_79,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_5199)
    | cp1(i2003_11_14_17_21_5199) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_89,plain,
    ( ~ ca_Vx3(i2003_11_14_17_21_5199)
    | rr(i2003_11_14_17_21_5199,sK4(i2003_11_14_17_21_5199)) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_92,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_5199)
    | rr(i2003_11_14_17_21_5199,sK0(i2003_11_14_17_21_5199)) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_104,plain,
    ( ~ cUnsatisfiable(X0)
    | ca_Vx3(sK0(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_55]) ).

cnf(c_108,plain,
    ( ~ cp1(X0)
    | ~ ra_Px1(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_58]) ).

cnf(c_109,plain,
    ( ~ ra_Px1(X0,X1)
    | ~ cp1(X0) ),
    inference(renaming,[status(thm)],[c_108]) ).

cnf(c_116,plain,
    ( ~ rr(X0,X1)
    | rinvR(X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_71]) ).

cnf(c_122,plain,
    ( ~ cp1xcomp(X0)
    | ra_Px1(X0,sK2(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_60]) ).

cnf(c_130,plain,
    ( ~ ca_Vx3(X0)
    | ca_Ax2(sK4(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_66]) ).

cnf(c_132,plain,
    ( ~ ca_Vx3(X0)
    | rr(X0,sK4(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_67]) ).

cnf(c_441,plain,
    ( ~ cp1(X0)
    | ~ cp1xcomp(X0) ),
    inference(resolution,[status(thm)],[c_109,c_122]) ).

cnf(c_442,plain,
    ( ~ cp1(i2003_11_14_17_21_5199)
    | ~ cp1xcomp(i2003_11_14_17_21_5199) ),
    inference(instantiation,[status(thm)],[c_441]) ).

cnf(c_512,plain,
    ( ~ rr(X0,X1)
    | ~ ca_Ax2(X1)
    | cp1xcomp(X0) ),
    inference(resolution,[status(thm)],[c_63,c_116]) ).

cnf(c_677,plain,
    ( ~ cUnsatisfiable(X0)
    | rr(sK0(X0),sK4(sK0(X0))) ),
    inference(resolution,[status(thm)],[c_104,c_132]) ).

cnf(c_678,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_5199)
    | rr(sK0(i2003_11_14_17_21_5199),sK4(sK0(i2003_11_14_17_21_5199))) ),
    inference(instantiation,[status(thm)],[c_677]) ).

cnf(c_685,plain,
    ( ~ cUnsatisfiable(X0)
    | ca_Ax2(sK4(sK0(X0))) ),
    inference(resolution,[status(thm)],[c_104,c_130]) ).

cnf(c_686,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_5199)
    | ca_Ax2(sK4(sK0(i2003_11_14_17_21_5199))) ),
    inference(instantiation,[status(thm)],[c_685]) ).

cnf(c_778,plain,
    ( ~ rr(X0,sK4(X1))
    | ~ ca_Vx3(X1)
    | cp1xcomp(X0) ),
    inference(resolution,[status(thm)],[c_512,c_130]) ).

cnf(c_779,plain,
    ( ~ rr(i2003_11_14_17_21_5199,sK4(i2003_11_14_17_21_5199))
    | ~ ca_Vx3(i2003_11_14_17_21_5199)
    | cp1xcomp(i2003_11_14_17_21_5199) ),
    inference(instantiation,[status(thm)],[c_778]) ).

cnf(c_1614,plain,
    ( ~ rr(sK0(X0),X1)
    | ~ rr(X0,sK0(X0))
    | rr(X0,X1) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_1631,plain,
    ( ~ rr(sK0(X0),sK4(sK0(X0)))
    | ~ rr(X0,sK0(X0))
    | rr(X0,sK4(sK0(X0))) ),
    inference(instantiation,[status(thm)],[c_1614]) ).

cnf(c_1632,plain,
    ( ~ rr(sK0(i2003_11_14_17_21_5199),sK4(sK0(i2003_11_14_17_21_5199)))
    | ~ rr(i2003_11_14_17_21_5199,sK0(i2003_11_14_17_21_5199))
    | rr(i2003_11_14_17_21_5199,sK4(sK0(i2003_11_14_17_21_5199))) ),
    inference(instantiation,[status(thm)],[c_1631]) ).

cnf(c_1652,plain,
    ( ~ rr(X0,sK4(sK0(X0)))
    | ~ ca_Ax2(sK4(sK0(X0)))
    | ca_Vx3(X0) ),
    inference(instantiation,[status(thm)],[c_65]) ).

cnf(c_1653,plain,
    ( ~ rr(i2003_11_14_17_21_5199,sK4(sK0(i2003_11_14_17_21_5199)))
    | ~ ca_Ax2(sK4(sK0(i2003_11_14_17_21_5199)))
    | ca_Vx3(i2003_11_14_17_21_5199) ),
    inference(instantiation,[status(thm)],[c_1652]) ).

cnf(c_1654,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1653,c_1632,c_779,c_686,c_678,c_442,c_92,c_89,c_79,c_74]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : KRS121+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 23:13:45 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.56/1.21  % SZS status Started for theBenchmark.p
% 2.56/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 2.56/1.21  
% 2.56/1.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.56/1.21  
% 2.56/1.21  ------  iProver source info
% 2.56/1.21  
% 2.56/1.21  git: date: 2024-05-02 19:28:25 +0000
% 2.56/1.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.56/1.21  git: non_committed_changes: false
% 2.56/1.21  
% 2.56/1.21  ------ Parsing...
% 2.56/1.21  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.56/1.21  
% 2.56/1.21  ------ Preprocessing... sup_sim: 0  sf_s  rm: 8 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 3 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 2.56/1.21  
% 2.56/1.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.56/1.21  ------ Proving...
% 2.56/1.21  ------ Problem Properties 
% 2.56/1.21  
% 2.56/1.21  
% 2.56/1.21  clauses                                 13
% 2.56/1.21  conjectures                             0
% 2.56/1.21  EPR                                     7
% 2.56/1.21  Horn                                    10
% 2.56/1.21  unary                                   1
% 2.56/1.21  binary                                  6
% 2.56/1.21  lits                                    32
% 2.56/1.21  lits eq                                 0
% 2.56/1.21  fd_pure                                 0
% 2.56/1.21  fd_pseudo                               0
% 2.56/1.21  fd_cond                                 0
% 2.56/1.21  fd_pseudo_cond                          0
% 2.56/1.21  AC symbols                              0
% 2.56/1.21  
% 2.56/1.21  ------ Schedule dynamic 5 is on 
% 2.56/1.21  
% 2.56/1.21  ------ no conjectures: strip conj schedule 
% 2.56/1.21  
% 2.56/1.21  ------ no equalities: superposition off 
% 2.56/1.21  
% 2.56/1.21  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.56/1.21  
% 2.56/1.21  
% 2.56/1.21  ------ 
% 2.56/1.21  Current options:
% 2.56/1.21  ------ 
% 2.56/1.21  
% 2.56/1.21  
% 2.56/1.21  
% 2.56/1.21  
% 2.56/1.21  ------ Proving...
% 2.56/1.21  
% 2.56/1.21  
% 2.56/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 2.56/1.21  
% 2.56/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.56/1.21  
% 2.56/1.21  
%------------------------------------------------------------------------------