TSTP Solution File: SET934+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET934+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 03:02:03 EDT 2024

% Result   : Theorem 7.57s 1.74s
% Output   : CNFRefutation 7.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   61 (   7 unt;   0 def)
%            Number of atoms       :  237 (  21 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  290 ( 114   ~; 122   |;  43   &)
%                                         (   6 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :  134 (   2 sgn  96   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1] :
      ( powerset(X0) = X1
    <=> ! [X2] :
          ( in(X2,X1)
        <=> subset(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( set_union2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            | in(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f14,conjecture,
    ! [X0,X1] : subset(set_union2(powerset(X0),powerset(X1)),powerset(set_union2(X0,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t81_zfmisc_1) ).

fof(f15,negated_conjecture,
    ~ ! [X0,X1] : subset(set_union2(powerset(X0),powerset(X1)),powerset(set_union2(X0,X1))),
    inference(negated_conjecture,[],[f14]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f24,plain,
    ? [X0,X1] : ~ subset(set_union2(powerset(X0),powerset(X1)),powerset(set_union2(X0,X1))),
    inference(ennf_transformation,[],[f15]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( powerset(X0) = X1
        | ? [X2] :
            ( ( ~ subset(X2,X0)
              | ~ in(X2,X1) )
            & ( subset(X2,X0)
              | in(X2,X1) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X1)
              | ~ subset(X2,X0) )
            & ( subset(X2,X0)
              | ~ in(X2,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( powerset(X0) = X1
        | ? [X2] :
            ( ( ~ subset(X2,X0)
              | ~ in(X2,X1) )
            & ( subset(X2,X0)
              | in(X2,X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ~ subset(X3,X0) )
            & ( subset(X3,X0)
              | ~ in(X3,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(rectify,[],[f25]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ subset(X2,X0)
            | ~ in(X2,X1) )
          & ( subset(X2,X0)
            | in(X2,X1) ) )
     => ( ( ~ subset(sK0(X0,X1),X0)
          | ~ in(sK0(X0,X1),X1) )
        & ( subset(sK0(X0,X1),X0)
          | in(sK0(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( powerset(X0) = X1
        | ( ( ~ subset(sK0(X0,X1),X0)
            | ~ in(sK0(X0,X1),X1) )
          & ( subset(sK0(X0,X1),X0)
            | in(sK0(X0,X1),X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ~ subset(X3,X0) )
            & ( subset(X3,X0)
              | ~ in(X3,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f26,f27]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(flattening,[],[f29]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( ~ in(X4,X1)
                & ~ in(X4,X0) ) )
            & ( in(X4,X1)
              | in(X4,X0)
              | ~ in(X4,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(rectify,[],[f30]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ( ~ in(X3,X1)
              & ~ in(X3,X0) )
            | ~ in(X3,X2) )
          & ( in(X3,X1)
            | in(X3,X0)
            | in(X3,X2) ) )
     => ( ( ( ~ in(sK1(X0,X1,X2),X1)
            & ~ in(sK1(X0,X1,X2),X0) )
          | ~ in(sK1(X0,X1,X2),X2) )
        & ( in(sK1(X0,X1,X2),X1)
          | in(sK1(X0,X1,X2),X0)
          | in(sK1(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ( ( ( ~ in(sK1(X0,X1,X2),X1)
              & ~ in(sK1(X0,X1,X2),X0) )
            | ~ in(sK1(X0,X1,X2),X2) )
          & ( in(sK1(X0,X1,X2),X1)
            | in(sK1(X0,X1,X2),X0)
            | in(sK1(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( ~ in(X4,X1)
                & ~ in(X4,X0) ) )
            & ( in(X4,X1)
              | in(X4,X0)
              | ~ in(X4,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f31,f32]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f34]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK2(X0,X1),X1)
        & in(sK2(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK2(X0,X1),X1)
          & in(sK2(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f35,f36]) ).

fof(f42,plain,
    ( ? [X0,X1] : ~ subset(set_union2(powerset(X0),powerset(X1)),powerset(set_union2(X0,X1)))
   => ~ subset(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ~ subset(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f24,f42]) ).

fof(f46,plain,
    ! [X3,X0,X1] :
      ( subset(X3,X0)
      | ~ in(X3,X1)
      | powerset(X0) != X1 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f47,plain,
    ! [X3,X0,X1] :
      ( in(X3,X1)
      | ~ subset(X3,X0)
      | powerset(X0) != X1 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f50,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X1)
      | in(X4,X0)
      | ~ in(X4,X2)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f51,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X0)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f52,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X1)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f56,plain,
    ! [X3,X0,X1] :
      ( in(X3,X1)
      | ~ in(X3,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | in(sK2(X0,X1),X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ in(sK2(X0,X1),X1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f67,plain,
    ~ subset(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),
    inference(cnf_transformation,[],[f43]) ).

fof(f68,plain,
    ! [X3,X0] :
      ( in(X3,powerset(X0))
      | ~ subset(X3,X0) ),
    inference(equality_resolution,[],[f47]) ).

fof(f69,plain,
    ! [X3,X0] :
      ( subset(X3,X0)
      | ~ in(X3,powerset(X0)) ),
    inference(equality_resolution,[],[f46]) ).

fof(f70,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_union2(X0,X1))
      | ~ in(X4,X1) ),
    inference(equality_resolution,[],[f52]) ).

fof(f71,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_union2(X0,X1))
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f51]) ).

fof(f72,plain,
    ! [X0,X1,X4] :
      ( in(X4,X1)
      | in(X4,X0)
      | ~ in(X4,set_union2(X0,X1)) ),
    inference(equality_resolution,[],[f50]) ).

cnf(c_53,plain,
    ( ~ subset(X0,X1)
    | in(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_54,plain,
    ( ~ in(X0,powerset(X1))
    | subset(X0,X1) ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_58,plain,
    ( ~ in(X0,X1)
    | in(X0,set_union2(X2,X1)) ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_59,plain,
    ( ~ in(X0,X1)
    | in(X0,set_union2(X1,X2)) ),
    inference(cnf_transformation,[],[f71]) ).

cnf(c_60,plain,
    ( ~ in(X0,set_union2(X1,X2))
    | in(X0,X1)
    | in(X0,X2) ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_61,plain,
    ( ~ in(sK2(X0,X1),X1)
    | subset(X0,X1) ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_62,plain,
    ( in(sK2(X0,X1),X0)
    | subset(X0,X1) ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_63,plain,
    ( ~ in(X0,X1)
    | ~ subset(X1,X2)
    | in(X0,X2) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_72,negated_conjecture,
    ~ subset(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),
    inference(cnf_transformation,[],[f67]) ).

cnf(c_733,plain,
    ( ~ in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),powerset(set_union2(sK5,sK6)))
    | subset(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))) ),
    inference(instantiation,[status(thm)],[c_61]) ).

cnf(c_735,plain,
    ( in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(powerset(sK5),powerset(sK6)))
    | subset(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_740,plain,
    ( ~ subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6))
    | in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),powerset(set_union2(sK5,sK6))) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_773,plain,
    ( ~ in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),set_union2(sK5,sK6))
    | subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_61]) ).

cnf(c_775,plain,
    ( in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))))
    | subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_784,plain,
    ( ~ in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(X0,X1))
    | in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),X0)
    | in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),X1) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_914,plain,
    ( ~ in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),sK6)
    | in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),set_union2(sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_915,plain,
    ( ~ in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),sK5)
    | in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),set_union2(sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_937,plain,
    ( ~ in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),powerset(X0))
    | subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),X0) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_940,plain,
    ( ~ in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),powerset(sK5))
    | subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),sK5) ),
    inference(instantiation,[status(thm)],[c_937]) ).

cnf(c_1177,plain,
    ( ~ in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(powerset(sK5),powerset(sK6)))
    | in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),powerset(sK5))
    | in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),powerset(sK6)) ),
    inference(instantiation,[status(thm)],[c_784]) ).

cnf(c_1512,plain,
    ( ~ in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))))
    | ~ subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),X0)
    | in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),X0) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_1513,plain,
    ( ~ in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))))
    | ~ subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),sK5)
    | in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),sK5) ),
    inference(instantiation,[status(thm)],[c_1512]) ).

cnf(c_3917,plain,
    ( ~ in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),powerset(sK6))
    | subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),sK6) ),
    inference(instantiation,[status(thm)],[c_937]) ).

cnf(c_6308,plain,
    ( ~ in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))))
    | ~ subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),sK6)
    | in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),sK6) ),
    inference(instantiation,[status(thm)],[c_1512]) ).

cnf(c_6309,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_6308,c_3917,c_1513,c_1177,c_940,c_915,c_914,c_773,c_775,c_740,c_733,c_735,c_72]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET934+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  2 20:12:36 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  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
% 7.57/1.74  % SZS status Started for theBenchmark.p
% 7.57/1.74  % SZS status Theorem for theBenchmark.p
% 7.57/1.74  
% 7.57/1.74  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.57/1.74  
% 7.57/1.74  ------  iProver source info
% 7.57/1.74  
% 7.57/1.74  git: date: 2024-05-02 19:28:25 +0000
% 7.57/1.74  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.57/1.74  git: non_committed_changes: false
% 7.57/1.74  
% 7.57/1.74  ------ Parsing...
% 7.57/1.74  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.57/1.74  
% 7.57/1.74  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 7.57/1.74  
% 7.57/1.74  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.57/1.74  
% 7.57/1.74  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.57/1.74  ------ Proving...
% 7.57/1.74  ------ Problem Properties 
% 7.57/1.74  
% 7.57/1.74  
% 7.57/1.74  clauses                                 24
% 7.57/1.74  conjectures                             1
% 7.57/1.74  EPR                                     6
% 7.57/1.74  Horn                                    20
% 7.57/1.74  unary                                   7
% 7.57/1.74  binary                                  9
% 7.57/1.74  lits                                    50
% 7.57/1.74  lits eq                                 7
% 7.57/1.74  fd_pure                                 0
% 7.57/1.74  fd_pseudo                               0
% 7.57/1.74  fd_cond                                 0
% 7.57/1.74  fd_pseudo_cond                          5
% 7.57/1.74  AC symbols                              0
% 7.57/1.74  
% 7.57/1.74  ------ Input Options Time Limit: Unbounded
% 7.57/1.74  
% 7.57/1.74  
% 7.57/1.74  ------ 
% 7.57/1.74  Current options:
% 7.57/1.74  ------ 
% 7.57/1.74  
% 7.57/1.74  
% 7.57/1.74  
% 7.57/1.74  
% 7.57/1.74  ------ Proving...
% 7.57/1.74  
% 7.57/1.74  
% 7.57/1.74  % SZS status Theorem for theBenchmark.p
% 7.57/1.74  
% 7.57/1.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.57/1.74  
% 7.57/1.75  
%------------------------------------------------------------------------------