TSTP Solution File: SEU325+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SEU325+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 : Thu Aug 31 17:05:49 EDT 2023

% Result   : Theorem 3.41s 1.20s
% Output   : CNFRefutation 3.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   95 (  32 unt;   0 def)
%            Number of atoms       :  271 (  53 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  280 ( 104   ~;  90   |;  64   &)
%                                         (   4 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   3 con; 0-2 aty)
%            Number of variables   :  136 (   7 sgn;  83   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => cast_as_carrier_subset(X0) = the_carrier(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( union(X0) = X1
    <=> ! [X2] :
          ( in(X2,X1)
        <=> ? [X3] :
              ( in(X3,X0)
              & in(X2,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).

fof(f19,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => ! [X1] :
          ( element(X1,powerset(powerset(the_carrier(X0))))
         => ( is_a_cover_of_carrier(X0,X1)
          <=> cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_pre_topc) ).

fof(f29,axiom,
    ! [X0] :
    ? [X1] : element(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).

fof(f30,axiom,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ~ empty(the_carrier(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).

fof(f33,axiom,
    ( v5_membered(empty_set)
    & v4_membered(empty_set)
    & v3_membered(empty_set)
    & v2_membered(empty_set)
    & v1_membered(empty_set)
    & empty(empty_set) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).

fof(f36,axiom,
    ! [X0] :
    ? [X1] :
      ( empty(X1)
      & element(X1,powerset(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).

fof(f39,axiom,
    ! [X0,X1] :
      ( element(X1,powerset(powerset(X0)))
     => union_of_subsets(X0,X1) = union(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).

fof(f42,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).

fof(f46,conjecture,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( element(X1,powerset(powerset(the_carrier(X0))))
         => ~ ( empty_set = X1
              & is_a_cover_of_carrier(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tops_2) ).

fof(f47,negated_conjecture,
    ~ ! [X0] :
        ( ( one_sorted_str(X0)
          & ~ empty_carrier(X0) )
       => ! [X1] :
            ( element(X1,powerset(powerset(the_carrier(X0))))
           => ~ ( empty_set = X1
                & is_a_cover_of_carrier(X0,X1) ) ) ),
    inference(negated_conjecture,[],[f46]) ).

fof(f48,axiom,
    ! [X0] :
      ( empty(X0)
     => empty_set = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).

fof(f49,axiom,
    ! [X0,X1] :
      ~ ( empty(X1)
        & in(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).

fof(f79,plain,
    ! [X0] :
      ( cast_as_carrier_subset(X0) = the_carrier(X0)
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f80,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( is_a_cover_of_carrier(X0,X1)
          <=> cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1) )
          | ~ element(X1,powerset(powerset(the_carrier(X0)))) )
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f83,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(flattening,[],[f83]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( union_of_subsets(X0,X1) = union(X1)
      | ~ element(X1,powerset(powerset(X0))) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f92]) ).

fof(f98,plain,
    ? [X0] :
      ( ? [X1] :
          ( empty_set = X1
          & is_a_cover_of_carrier(X0,X1)
          & element(X1,powerset(powerset(the_carrier(X0)))) )
      & one_sorted_str(X0)
      & ~ empty_carrier(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( empty_set = X1
          & is_a_cover_of_carrier(X0,X1)
          & element(X1,powerset(powerset(the_carrier(X0)))) )
      & one_sorted_str(X0)
      & ~ empty_carrier(X0) ),
    inference(flattening,[],[f98]) ).

fof(f100,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ( union(X0) = X1
        | ? [X2] :
            ( ( ! [X3] :
                  ( ~ in(X3,X0)
                  | ~ in(X2,X3) )
              | ~ in(X2,X1) )
            & ( ? [X3] :
                  ( in(X3,X0)
                  & in(X2,X3) )
              | in(X2,X1) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X1)
              | ! [X3] :
                  ( ~ in(X3,X0)
                  | ~ in(X2,X3) ) )
            & ( ? [X3] :
                  ( in(X3,X0)
                  & in(X2,X3) )
              | ~ in(X2,X1) ) )
        | union(X0) != X1 ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ( union(X0) = X1
        | ? [X2] :
            ( ( ! [X3] :
                  ( ~ in(X3,X0)
                  | ~ in(X2,X3) )
              | ~ in(X2,X1) )
            & ( ? [X4] :
                  ( in(X4,X0)
                  & in(X2,X4) )
              | in(X2,X1) ) ) )
      & ( ! [X5] :
            ( ( in(X5,X1)
              | ! [X6] :
                  ( ~ in(X6,X0)
                  | ~ in(X5,X6) ) )
            & ( ? [X7] :
                  ( in(X7,X0)
                  & in(X5,X7) )
              | ~ in(X5,X1) ) )
        | union(X0) != X1 ) ),
    inference(rectify,[],[f103]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] :
                ( ~ in(X3,X0)
                | ~ in(X2,X3) )
            | ~ in(X2,X1) )
          & ( ? [X4] :
                ( in(X4,X0)
                & in(X2,X4) )
            | in(X2,X1) ) )
     => ( ( ! [X3] :
              ( ~ in(X3,X0)
              | ~ in(sK0(X0,X1),X3) )
          | ~ in(sK0(X0,X1),X1) )
        & ( ? [X4] :
              ( in(X4,X0)
              & in(sK0(X0,X1),X4) )
          | in(sK0(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( in(X4,X0)
          & in(sK0(X0,X1),X4) )
     => ( in(sK1(X0,X1),X0)
        & in(sK0(X0,X1),sK1(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f107,plain,
    ! [X0,X5] :
      ( ? [X7] :
          ( in(X7,X0)
          & in(X5,X7) )
     => ( in(sK2(X0,X5),X0)
        & in(X5,sK2(X0,X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ( union(X0) = X1
        | ( ( ! [X3] :
                ( ~ in(X3,X0)
                | ~ in(sK0(X0,X1),X3) )
            | ~ in(sK0(X0,X1),X1) )
          & ( ( in(sK1(X0,X1),X0)
              & in(sK0(X0,X1),sK1(X0,X1)) )
            | in(sK0(X0,X1),X1) ) ) )
      & ( ! [X5] :
            ( ( in(X5,X1)
              | ! [X6] :
                  ( ~ in(X6,X0)
                  | ~ in(X5,X6) ) )
            & ( ( in(sK2(X0,X5),X0)
                & in(X5,sK2(X0,X5)) )
              | ~ in(X5,X1) ) )
        | union(X0) != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f104,f107,f106,f105]) ).

fof(f109,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( is_a_cover_of_carrier(X0,X1)
              | cast_as_carrier_subset(X0) != union_of_subsets(the_carrier(X0),X1) )
            & ( cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1)
              | ~ is_a_cover_of_carrier(X0,X1) ) )
          | ~ element(X1,powerset(powerset(the_carrier(X0)))) )
      | ~ one_sorted_str(X0) ),
    inference(nnf_transformation,[],[f80]) ).

fof(f112,plain,
    ! [X0] :
      ( ? [X1] : element(X1,X0)
     => element(sK4(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f113,plain,
    ! [X0] : element(sK4(X0),X0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f29,f112]) ).

fof(f118,plain,
    ! [X0] :
      ( ? [X1] :
          ( empty(X1)
          & element(X1,powerset(X0)) )
     => ( empty(sK7(X0))
        & element(sK7(X0),powerset(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f119,plain,
    ! [X0] :
      ( empty(sK7(X0))
      & element(sK7(X0),powerset(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f36,f118]) ).

fof(f124,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( empty_set = X1
            & is_a_cover_of_carrier(X0,X1)
            & element(X1,powerset(powerset(the_carrier(X0)))) )
        & one_sorted_str(X0)
        & ~ empty_carrier(X0) )
   => ( ? [X1] :
          ( empty_set = X1
          & is_a_cover_of_carrier(sK10,X1)
          & element(X1,powerset(powerset(the_carrier(sK10)))) )
      & one_sorted_str(sK10)
      & ~ empty_carrier(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X1] :
        ( empty_set = X1
        & is_a_cover_of_carrier(sK10,X1)
        & element(X1,powerset(powerset(the_carrier(sK10)))) )
   => ( empty_set = sK11
      & is_a_cover_of_carrier(sK10,sK11)
      & element(sK11,powerset(powerset(the_carrier(sK10)))) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ( empty_set = sK11
    & is_a_cover_of_carrier(sK10,sK11)
    & element(sK11,powerset(powerset(the_carrier(sK10))))
    & one_sorted_str(sK10)
    & ~ empty_carrier(sK10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f99,f125,f124]) ).

fof(f152,plain,
    ! [X0] :
      ( cast_as_carrier_subset(X0) = the_carrier(X0)
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f154,plain,
    ! [X0,X1,X5] :
      ( in(sK2(X0,X5),X0)
      | ~ in(X5,X1)
      | union(X0) != X1 ),
    inference(cnf_transformation,[],[f108]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1)
      | ~ is_a_cover_of_carrier(X0,X1)
      | ~ element(X1,powerset(powerset(the_carrier(X0))))
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f164,plain,
    ! [X0] : element(sK4(X0),X0),
    inference(cnf_transformation,[],[f113]) ).

fof(f165,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f168,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f33]) ).

fof(f182,plain,
    ! [X0] : element(sK7(X0),powerset(X0)),
    inference(cnf_transformation,[],[f119]) ).

fof(f183,plain,
    ! [X0] : empty(sK7(X0)),
    inference(cnf_transformation,[],[f119]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( union_of_subsets(X0,X1) = union(X1)
      | ~ element(X1,powerset(powerset(X0))) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f195,plain,
    ~ empty_carrier(sK10),
    inference(cnf_transformation,[],[f126]) ).

fof(f196,plain,
    one_sorted_str(sK10),
    inference(cnf_transformation,[],[f126]) ).

fof(f197,plain,
    element(sK11,powerset(powerset(the_carrier(sK10)))),
    inference(cnf_transformation,[],[f126]) ).

fof(f198,plain,
    is_a_cover_of_carrier(sK10,sK11),
    inference(cnf_transformation,[],[f126]) ).

fof(f199,plain,
    empty_set = sK11,
    inference(cnf_transformation,[],[f126]) ).

fof(f200,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f208,plain,
    empty(sK11),
    inference(definition_unfolding,[],[f168,f199]) ).

fof(f209,plain,
    ! [X0] :
      ( sK11 = X0
      | ~ empty(X0) ),
    inference(definition_unfolding,[],[f200,f199]) ).

fof(f211,plain,
    ! [X0,X5] :
      ( in(sK2(X0,X5),X0)
      | ~ in(X5,union(X0)) ),
    inference(equality_resolution,[],[f154]) ).

cnf(c_74,plain,
    ( ~ one_sorted_str(X0)
    | cast_as_carrier_subset(X0) = the_carrier(X0) ),
    inference(cnf_transformation,[],[f152]) ).

cnf(c_79,plain,
    ( ~ in(X0,union(X1))
    | in(sK2(X1,X0),X1) ),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_82,plain,
    ( ~ element(X0,powerset(powerset(the_carrier(X1))))
    | ~ is_a_cover_of_carrier(X1,X0)
    | ~ one_sorted_str(X1)
    | union_of_subsets(the_carrier(X1),X0) = cast_as_carrier_subset(X1) ),
    inference(cnf_transformation,[],[f159]) ).

cnf(c_86,plain,
    element(sK4(X0),X0),
    inference(cnf_transformation,[],[f164]) ).

cnf(c_87,plain,
    ( ~ empty(the_carrier(X0))
    | ~ one_sorted_str(X0)
    | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f165]) ).

cnf(c_95,negated_conjecture,
    empty(sK11),
    inference(cnf_transformation,[],[f208]) ).

cnf(c_104,plain,
    empty(sK7(X0)),
    inference(cnf_transformation,[],[f183]) ).

cnf(c_105,plain,
    element(sK7(X0),powerset(X0)),
    inference(cnf_transformation,[],[f182]) ).

cnf(c_110,plain,
    ( ~ element(X0,powerset(powerset(X1)))
    | union_of_subsets(X1,X0) = union(X0) ),
    inference(cnf_transformation,[],[f188]) ).

cnf(c_113,plain,
    ( ~ element(X0,X1)
    | in(X0,X1)
    | empty(X1) ),
    inference(cnf_transformation,[],[f191]) ).

cnf(c_117,negated_conjecture,
    is_a_cover_of_carrier(sK10,sK11),
    inference(cnf_transformation,[],[f198]) ).

cnf(c_118,negated_conjecture,
    element(sK11,powerset(powerset(the_carrier(sK10)))),
    inference(cnf_transformation,[],[f197]) ).

cnf(c_119,negated_conjecture,
    one_sorted_str(sK10),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_120,negated_conjecture,
    ~ empty_carrier(sK10),
    inference(cnf_transformation,[],[f195]) ).

cnf(c_121,negated_conjecture,
    ( ~ empty(X0)
    | X0 = sK11 ),
    inference(cnf_transformation,[],[f209]) ).

cnf(c_122,plain,
    ( ~ in(X0,X1)
    | ~ empty(X1) ),
    inference(cnf_transformation,[],[f201]) ).

cnf(c_756,plain,
    ( X0 != sK11
    | X1 != sK10
    | ~ element(X0,powerset(powerset(the_carrier(X1))))
    | ~ one_sorted_str(X1)
    | union_of_subsets(the_carrier(X1),X0) = cast_as_carrier_subset(X1) ),
    inference(resolution_lifted,[status(thm)],[c_82,c_117]) ).

cnf(c_757,plain,
    ( ~ element(sK11,powerset(powerset(the_carrier(sK10))))
    | ~ one_sorted_str(sK10)
    | union_of_subsets(the_carrier(sK10),sK11) = cast_as_carrier_subset(sK10) ),
    inference(unflattening,[status(thm)],[c_756]) ).

cnf(c_758,plain,
    union_of_subsets(the_carrier(sK10),sK11) = cast_as_carrier_subset(sK10),
    inference(global_subsumption_just,[status(thm)],[c_757,c_119,c_118,c_757]) ).

cnf(c_813,plain,
    ( X0 != sK10
    | ~ empty(the_carrier(X0))
    | ~ one_sorted_str(X0) ),
    inference(resolution_lifted,[status(thm)],[c_87,c_120]) ).

cnf(c_814,plain,
    ( ~ empty(the_carrier(sK10))
    | ~ one_sorted_str(sK10) ),
    inference(unflattening,[status(thm)],[c_813]) ).

cnf(c_815,plain,
    ~ empty(the_carrier(sK10)),
    inference(global_subsumption_just,[status(thm)],[c_814,c_119,c_814]) ).

cnf(c_853,plain,
    ( X0 != sK10
    | cast_as_carrier_subset(X0) = the_carrier(X0) ),
    inference(resolution_lifted,[status(thm)],[c_74,c_119]) ).

cnf(c_854,plain,
    cast_as_carrier_subset(sK10) = the_carrier(sK10),
    inference(unflattening,[status(thm)],[c_853]) ).

cnf(c_1023,plain,
    union_of_subsets(the_carrier(sK10),sK11) = the_carrier(sK10),
    inference(light_normalisation,[status(thm)],[c_758,c_854]) ).

cnf(c_1709,plain,
    sK7(X0) = sK11,
    inference(superposition,[status(thm)],[c_104,c_121]) ).

cnf(c_1712,plain,
    element(sK11,powerset(X0)),
    inference(light_normalisation,[status(thm)],[c_105,c_1709]) ).

cnf(c_1747,plain,
    ( in(sK4(X0),X0)
    | empty(X0) ),
    inference(superposition,[status(thm)],[c_86,c_113]) ).

cnf(c_1768,plain,
    ( ~ in(X0,union(X1))
    | ~ empty(X1) ),
    inference(superposition,[status(thm)],[c_79,c_122]) ).

cnf(c_1842,plain,
    ( ~ empty(X0)
    | empty(union(X0)) ),
    inference(superposition,[status(thm)],[c_1747,c_1768]) ).

cnf(c_1854,plain,
    ( ~ empty(X0)
    | union(X0) = sK11 ),
    inference(superposition,[status(thm)],[c_1842,c_121]) ).

cnf(c_1984,plain,
    union(sK11) = sK11,
    inference(superposition,[status(thm)],[c_95,c_1854]) ).

cnf(c_2061,plain,
    union_of_subsets(X0,sK11) = union(sK11),
    inference(superposition,[status(thm)],[c_1712,c_110]) ).

cnf(c_2062,plain,
    union_of_subsets(X0,sK11) = sK11,
    inference(light_normalisation,[status(thm)],[c_2061,c_1984]) ).

cnf(c_2066,plain,
    the_carrier(sK10) = sK11,
    inference(demodulation,[status(thm)],[c_1023,c_2062]) ).

cnf(c_2075,plain,
    ~ empty(sK11),
    inference(demodulation,[status(thm)],[c_815,c_2066]) ).

cnf(c_2076,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2075,c_95]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SEU325+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n031.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 : Wed Aug 23 16:18:50 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.41/1.20  % SZS status Started for theBenchmark.p
% 3.41/1.20  % SZS status Theorem for theBenchmark.p
% 3.41/1.20  
% 3.41/1.20  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.41/1.20  
% 3.41/1.20  ------  iProver source info
% 3.41/1.20  
% 3.41/1.20  git: date: 2023-05-31 18:12:56 +0000
% 3.41/1.20  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.41/1.20  git: non_committed_changes: false
% 3.41/1.20  git: last_make_outside_of_git: false
% 3.41/1.20  
% 3.41/1.20  ------ Parsing...
% 3.41/1.20  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.41/1.20  
% 3.41/1.20  ------ Preprocessing... sup_sim: 0  sf_s  rm: 40 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 8  sf_s  rm: 9 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 9 0s  sf_e  pe_s  pe_e 
% 3.41/1.20  
% 3.41/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.41/1.20  
% 3.41/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.41/1.20  ------ Proving...
% 3.41/1.20  ------ Problem Properties 
% 3.41/1.20  
% 3.41/1.20  
% 3.41/1.20  clauses                                 36
% 3.41/1.20  conjectures                             3
% 3.41/1.20  EPR                                     8
% 3.41/1.20  Horn                                    32
% 3.41/1.20  unary                                   18
% 3.41/1.20  binary                                  10
% 3.41/1.20  lits                                    63
% 3.41/1.20  lits eq                                 10
% 3.41/1.20  fd_pure                                 0
% 3.41/1.20  fd_pseudo                               0
% 3.41/1.20  fd_cond                                 1
% 3.41/1.20  fd_pseudo_cond                          4
% 3.41/1.20  AC symbols                              0
% 3.41/1.20  
% 3.41/1.20  ------ Schedule dynamic 5 is on 
% 3.41/1.20  
% 3.41/1.20  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.41/1.20  
% 3.41/1.20  
% 3.41/1.20  ------ 
% 3.41/1.20  Current options:
% 3.41/1.20  ------ 
% 3.41/1.20  
% 3.41/1.20  
% 3.41/1.20  
% 3.41/1.20  
% 3.41/1.20  ------ Proving...
% 3.41/1.20  
% 3.41/1.20  
% 3.41/1.20  % SZS status Theorem for theBenchmark.p
% 3.41/1.20  
% 3.41/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.41/1.20  
% 3.41/1.20  
%------------------------------------------------------------------------------