TSTP Solution File: SET662+3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET662+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 15:08:59 EDT 2023

% Result   : Theorem 2.72s 1.20s
% Output   : CNFRefutation 2.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   72 (  10 unt;   0 def)
%            Number of atoms       :  267 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  324 ( 129   ~; 121   |;  37   &)
%                                         (  10 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :  149 (   6 sgn;  77   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
               => ilf_type(X3,subset_type(cross_product(X0,X1))) )
            & ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
               => ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).

fof(f4,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ~ member(X0,empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).

fof(f8,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7) ).

fof(f12,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( empty(X0)
      <=> ! [X1] :
            ( ilf_type(X1,set_type)
           => ~ member(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11) ).

fof(f13,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12) ).

fof(f15,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ( ilf_type(X1,set_type)
            & ~ empty(X1) )
         => ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14) ).

fof(f21,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20) ).

fof(f22,conjecture,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ilf_type(empty_set,relation_type(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_25) ).

fof(f23,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,set_type)
       => ! [X1] :
            ( ilf_type(X1,set_type)
           => ilf_type(empty_set,relation_type(X0,X1)) ) ),
    inference(negated_conjecture,[],[f22]) ).

fof(f24,plain,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
               => ilf_type(X2,subset_type(cross_product(X0,X1))) )
            & ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X0,X1)))
               => ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f27,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
                | ~ ilf_type(X2,relation_type(X0,X1)) )
            & ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
                | ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f29,plain,
    ! [X0] :
      ( ~ member(X0,empty_set)
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f31,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f36,plain,
    ! [X0] :
      ( ( empty(X0)
      <=> ! [X1] :
            ( ~ member(X1,X0)
            | ~ ilf_type(X1,set_type) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f37,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f38,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f37]) ).

fof(f40,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | ~ ilf_type(X1,set_type)
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | ~ ilf_type(X1,set_type)
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f40]) ).

fof(f50,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ ilf_type(empty_set,relation_type(X0,X1))
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ilf_type(X1,subset_type(X0))
              | ~ ilf_type(X1,member_type(power_set(X0))) )
            & ( ilf_type(X1,member_type(power_set(X0)))
              | ~ ilf_type(X1,subset_type(X0)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f60,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ? [X1] :
              ( member(X1,X0)
              & ilf_type(X1,set_type) ) )
        & ( ! [X1] :
              ( ~ member(X1,X0)
              | ~ ilf_type(X1,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f36]) ).

fof(f61,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ? [X1] :
              ( member(X1,X0)
              & ilf_type(X1,set_type) ) )
        & ( ! [X2] :
              ( ~ member(X2,X0)
              | ~ ilf_type(X2,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f60]) ).

fof(f62,plain,
    ! [X0] :
      ( ? [X1] :
          ( member(X1,X0)
          & ilf_type(X1,set_type) )
     => ( member(sK3(X0),X0)
        & ilf_type(sK3(X0),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f63,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ( member(sK3(X0),X0)
            & ilf_type(sK3(X0),set_type) ) )
        & ( ! [X2] :
              ( ~ member(X2,X0)
              | ~ ilf_type(X2,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f61,f62]) ).

fof(f64,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X2] :
                  ( member(X2,X1)
                  | ~ member(X2,X0)
                  | ~ ilf_type(X2,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f65,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f64]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0)
          & ilf_type(X2,set_type) )
     => ( ~ member(sK4(X0,X1),X1)
        & member(sK4(X0,X1),X0)
        & ilf_type(sK4(X0,X1),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ( ~ member(sK4(X0,X1),X1)
                & member(sK4(X0,X1),X0)
                & ilf_type(sK4(X0,X1),set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f65,f66]) ).

fof(f68,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ilf_type(X0,member_type(X1))
              | ~ member(X0,X1) )
            & ( member(X0,X1)
              | ~ ilf_type(X0,member_type(X1)) ) )
          | ~ ilf_type(X1,set_type)
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f77,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ ilf_type(empty_set,relation_type(X0,X1))
            & ilf_type(X1,set_type) )
        & ilf_type(X0,set_type) )
   => ( ? [X1] :
          ( ~ ilf_type(empty_set,relation_type(sK9,X1))
          & ilf_type(X1,set_type) )
      & ilf_type(sK9,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f78,plain,
    ( ? [X1] :
        ( ~ ilf_type(empty_set,relation_type(sK9,X1))
        & ilf_type(X1,set_type) )
   => ( ~ ilf_type(empty_set,relation_type(sK9,sK10))
      & ilf_type(sK10,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ( ~ ilf_type(empty_set,relation_type(sK9,sK10))
    & ilf_type(sK10,set_type)
    & ilf_type(sK9,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f50,f78,f77]) ).

fof(f81,plain,
    ! [X3,X0,X1] :
      ( ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ member(X0,empty_set)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f95,plain,
    ! [X2,X0] :
      ( ~ member(X2,X0)
      | ~ ilf_type(X2,set_type)
      | ~ empty(X0)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
      | member(sK4(X0,X1),X0)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | ~ member(X0,X1)
      | ~ ilf_type(X1,set_type)
      | empty(X1)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f116,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f21]) ).

fof(f119,plain,
    ~ ilf_type(empty_set,relation_type(sK9,sK10)),
    inference(cnf_transformation,[],[f79]) ).

cnf(c_51,plain,
    ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ilf_type(X0,relation_type(X1,X2)) ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_53,plain,
    ( ~ ilf_type(X0,set_type)
    | ~ member(X0,empty_set) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_56,plain,
    ( ~ ilf_type(X0,member_type(power_set(X1)))
    | ~ ilf_type(X0,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X0,subset_type(X1)) ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_66,plain,
    ( ~ member(X0,X1)
    | ~ ilf_type(X0,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ empty(X1) ),
    inference(cnf_transformation,[],[f95]) ).

cnf(c_68,plain,
    ( ~ ilf_type(X0,set_type)
    | ~ ilf_type(X1,set_type)
    | member(sK4(X0,X1),X0)
    | member(X0,power_set(X1)) ),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_73,plain,
    ( ~ member(X0,X1)
    | ~ ilf_type(X0,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X0,member_type(X1))
    | empty(X1) ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_85,plain,
    ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_86,negated_conjecture,
    ~ ilf_type(empty_set,relation_type(sK9,sK10)),
    inference(cnf_transformation,[],[f119]) ).

cnf(c_129,plain,
    ~ member(X0,empty_set),
    inference(global_subsumption_just,[status(thm)],[c_53,c_85,c_53]) ).

cnf(c_188,plain,
    ( ~ ilf_type(X1,set_type)
    | member(sK4(X0,X1),X0)
    | member(X0,power_set(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_85,c_68]) ).

cnf(c_189,plain,
    ( ~ ilf_type(X0,set_type)
    | member(sK4(X1,X0),X1)
    | member(X1,power_set(X0)) ),
    inference(renaming,[status(thm)],[c_188]) ).

cnf(c_190,plain,
    ( member(sK4(X1,X0),X1)
    | member(X1,power_set(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_85,c_189]) ).

cnf(c_191,plain,
    ( member(sK4(X0,X1),X0)
    | member(X0,power_set(X1)) ),
    inference(renaming,[status(thm)],[c_190]) ).

cnf(c_197,plain,
    ( ilf_type(X0,member_type(X1))
    | ~ ilf_type(X1,set_type)
    | ~ member(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_73,c_85,c_66,c_73]) ).

cnf(c_198,plain,
    ( ~ member(X0,X1)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X0,member_type(X1)) ),
    inference(renaming,[status(thm)],[c_197]) ).

cnf(c_204,plain,
    ( ~ ilf_type(X0,member_type(power_set(X1)))
    | ~ ilf_type(X1,set_type)
    | ilf_type(X0,subset_type(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_56,c_85,c_56]) ).

cnf(c_227,plain,
    ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
    | ~ ilf_type(X2,set_type)
    | ilf_type(X0,relation_type(X1,X2)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_51,c_85]) ).

cnf(c_229,plain,
    ( ~ ilf_type(X0,member_type(power_set(X1)))
    | ilf_type(X0,subset_type(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_204,c_85]) ).

cnf(c_232,plain,
    ( ~ member(X0,X1)
    | ilf_type(X0,member_type(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_198,c_85]) ).

cnf(c_353,plain,
    ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
    | ilf_type(X0,relation_type(X1,X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_227,c_85]) ).

cnf(c_677,plain,
    ( ilf_type(X0,relation_type(X1,X2))
    | ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
    inference(prop_impl_just,[status(thm)],[c_353]) ).

cnf(c_678,plain,
    ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
    | ilf_type(X0,relation_type(X1,X2)) ),
    inference(renaming,[status(thm)],[c_677]) ).

cnf(c_681,plain,
    ( ilf_type(X0,subset_type(X1))
    | ~ ilf_type(X0,member_type(power_set(X1))) ),
    inference(prop_impl_just,[status(thm)],[c_229]) ).

cnf(c_682,plain,
    ( ~ ilf_type(X0,member_type(power_set(X1)))
    | ilf_type(X0,subset_type(X1)) ),
    inference(renaming,[status(thm)],[c_681]) ).

cnf(c_701,plain,
    ( ~ member(X0,X1)
    | ilf_type(X0,member_type(X1)) ),
    inference(prop_impl_just,[status(thm)],[c_232]) ).

cnf(c_709,plain,
    ( member(X0,power_set(X1))
    | member(sK4(X0,X1),X0) ),
    inference(prop_impl_just,[status(thm)],[c_191]) ).

cnf(c_710,plain,
    ( member(sK4(X0,X1),X0)
    | member(X0,power_set(X1)) ),
    inference(renaming,[status(thm)],[c_709]) ).

cnf(c_1819,plain,
    member(empty_set,power_set(X0)),
    inference(superposition,[status(thm)],[c_710,c_129]) ).

cnf(c_1896,plain,
    ( ~ member(X0,power_set(X1))
    | ilf_type(X0,subset_type(X1)) ),
    inference(superposition,[status(thm)],[c_701,c_682]) ).

cnf(c_1917,plain,
    ilf_type(empty_set,subset_type(X0)),
    inference(superposition,[status(thm)],[c_1819,c_1896]) ).

cnf(c_1937,plain,
    ilf_type(empty_set,relation_type(X0,X1)),
    inference(superposition,[status(thm)],[c_1917,c_678]) ).

cnf(c_1939,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_86,c_1937]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SET662+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15  % Command  : run_iprover %s %d THM
% 0.16/0.36  % Computer : n020.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Sat Aug 26 10:30:14 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.23/0.49  Running first-order theorem proving
% 0.23/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.72/1.20  % SZS status Started for theBenchmark.p
% 2.72/1.20  % SZS status Theorem for theBenchmark.p
% 2.72/1.20  
% 2.72/1.20  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.72/1.20  
% 2.72/1.20  ------  iProver source info
% 2.72/1.20  
% 2.72/1.20  git: date: 2023-05-31 18:12:56 +0000
% 2.72/1.20  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.72/1.20  git: non_committed_changes: false
% 2.72/1.20  git: last_make_outside_of_git: false
% 2.72/1.20  
% 2.72/1.20  ------ Parsing...
% 2.72/1.20  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.72/1.20  
% 2.72/1.20  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 2.72/1.20  
% 2.72/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.72/1.20  
% 2.72/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.72/1.20  ------ Proving...
% 2.72/1.20  ------ Problem Properties 
% 2.72/1.20  
% 2.72/1.20  
% 2.72/1.20  clauses                                 29
% 2.72/1.20  conjectures                             1
% 2.72/1.20  EPR                                     7
% 2.72/1.20  Horn                                    23
% 2.72/1.20  unary                                   9
% 2.72/1.20  binary                                  16
% 2.72/1.20  lits                                    53
% 2.72/1.20  lits eq                                 2
% 2.72/1.20  fd_pure                                 0
% 2.72/1.20  fd_pseudo                               0
% 2.72/1.20  fd_cond                                 0
% 2.72/1.20  fd_pseudo_cond                          0
% 2.72/1.20  AC symbols                              0
% 2.72/1.20  
% 2.72/1.20  ------ Schedule dynamic 5 is on 
% 2.72/1.20  
% 2.72/1.20  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.72/1.20  
% 2.72/1.20  
% 2.72/1.20  ------ 
% 2.72/1.20  Current options:
% 2.72/1.20  ------ 
% 2.72/1.20  
% 2.72/1.20  
% 2.72/1.20  
% 2.72/1.20  
% 2.72/1.20  ------ Proving...
% 2.72/1.20  
% 2.72/1.20  
% 2.72/1.20  % SZS status Theorem for theBenchmark.p
% 2.72/1.20  
% 2.72/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.72/1.20  
% 2.72/1.21  
%------------------------------------------------------------------------------