TSTP Solution File: SEU352+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU352+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.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  : 600s
% DateTime : Tue Jul 19 09:19:17 EDT 2022

% Result   : Theorem 0.21s 1.41s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  104 (  15 unt;   0 def)
%            Number of atoms       :  623 (  67 equ)
%            Maximal formula atoms :   50 (   5 avg)
%            Number of connectives :  862 ( 343   ~; 399   |;  83   &)
%                                         (   4 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   20 (  18 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   2 con; 0-3 aty)
%            Number of variables   :  198 (  11 sgn  84   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t6_boole,axiom,
    ! [X1] :
      ( empty(X1)
     => X1 = empty_set ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t6_boole) ).

fof(rc2_subset_1,axiom,
    ! [X1] :
    ? [X2] :
      ( element(X2,powerset(X1))
      & empty(X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',rc2_subset_1) ).

fof(t5_subset,axiom,
    ! [X1,X2,X3] :
      ~ ( in(X1,X2)
        & element(X2,powerset(X3))
        & empty(X3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t5_subset) ).

fof(d17_lattice3,axiom,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & latt_str(X1) )
     => ! [X2] :
          ( element(X2,the_carrier(X1))
         => ! [X3] :
              ( latt_element_smaller(X1,X2,X3)
            <=> ! [X4] :
                  ( element(X4,the_carrier(X1))
                 => ( in(X4,X3)
                   => below(X1,X4,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d17_lattice3) ).

fof(d21_lattice3,axiom,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & latt_str(X1) )
     => ( ( ~ empty_carrier(X1)
          & lattice(X1)
          & complete_latt_str(X1)
          & latt_str(X1) )
       => ! [X2,X3] :
            ( element(X3,the_carrier(X1))
           => ( X3 = join_of_latt_set(X1,X2)
            <=> ( latt_element_smaller(X1,X3,X2)
                & ! [X4] :
                    ( element(X4,the_carrier(X1))
                   => ( latt_element_smaller(X1,X4,X2)
                     => below(X1,X3,X4) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d21_lattice3) ).

fof(fc1_xboole_0,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fc1_xboole_0) ).

fof(dt_k15_lattice3,axiom,
    ! [X1,X2] :
      ( ( ~ empty_carrier(X1)
        & latt_str(X1) )
     => element(join_of_latt_set(X1,X2),the_carrier(X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k15_lattice3) ).

fof(t7_boole,axiom,
    ! [X1,X2] :
      ~ ( in(X1,X2)
        & empty(X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t7_boole) ).

fof(t26_lattices,axiom,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & join_commutative(X1)
        & join_semilatt_str(X1) )
     => ! [X2] :
          ( element(X2,the_carrier(X1))
         => ! [X3] :
              ( element(X3,the_carrier(X1))
             => ( ( below(X1,X2,X3)
                  & below(X1,X3,X2) )
               => X2 = X3 ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t26_lattices) ).

fof(t23_lattices,axiom,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & meet_commutative(X1)
        & meet_absorbing(X1)
        & latt_str(X1) )
     => ! [X2] :
          ( element(X2,the_carrier(X1))
         => ! [X3] :
              ( element(X3,the_carrier(X1))
             => below(X1,meet_commut(X1,X2,X3),X2) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t23_lattices) ).

fof(dt_l3_lattices,axiom,
    ! [X1] :
      ( latt_str(X1)
     => ( meet_semilatt_str(X1)
        & join_semilatt_str(X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_l3_lattices) ).

fof(t50_lattice3,conjecture,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & lattice(X1)
        & complete_latt_str(X1)
        & latt_str(X1) )
     => ( ~ empty_carrier(X1)
        & lattice(X1)
        & lower_bounded_semilattstr(X1)
        & latt_str(X1)
        & bottom_of_semilattstr(X1) = join_of_latt_set(X1,empty_set) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t50_lattice3) ).

fof(redefinition_k4_lattices,axiom,
    ! [X1,X2,X3] :
      ( ( ~ empty_carrier(X1)
        & meet_commutative(X1)
        & meet_semilatt_str(X1)
        & element(X2,the_carrier(X1))
        & element(X3,the_carrier(X1)) )
     => meet_commut(X1,X2,X3) = meet(X1,X2,X3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_k4_lattices) ).

fof(d16_lattices,axiom,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & meet_semilatt_str(X1) )
     => ( lower_bounded_semilattstr(X1)
       => ! [X2] :
            ( element(X2,the_carrier(X1))
           => ( X2 = bottom_of_semilattstr(X1)
            <=> ! [X3] :
                  ( element(X3,the_carrier(X1))
                 => ( meet(X1,X2,X3) = X2
                    & meet(X1,X3,X2) = X2 ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d16_lattices) ).

fof(dt_k5_lattices,axiom,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & meet_semilatt_str(X1) )
     => element(bottom_of_semilattstr(X1),the_carrier(X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k5_lattices) ).

fof(cc1_lattices,axiom,
    ! [X1] :
      ( latt_str(X1)
     => ( ( ~ empty_carrier(X1)
          & lattice(X1) )
       => ( ~ empty_carrier(X1)
          & join_commutative(X1)
          & join_associative(X1)
          & meet_commutative(X1)
          & meet_associative(X1)
          & meet_absorbing(X1)
          & join_absorbing(X1) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',cc1_lattices) ).

fof(commutativity_k4_lattices,axiom,
    ! [X1,X2,X3] :
      ( ( ~ empty_carrier(X1)
        & meet_commutative(X1)
        & meet_semilatt_str(X1)
        & element(X2,the_carrier(X1))
        & element(X3,the_carrier(X1)) )
     => meet_commut(X1,X2,X3) = meet_commut(X1,X3,X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',commutativity_k4_lattices) ).

fof(dt_k4_lattices,axiom,
    ! [X1,X2,X3] :
      ( ( ~ empty_carrier(X1)
        & meet_commutative(X1)
        & meet_semilatt_str(X1)
        & element(X2,the_carrier(X1))
        & element(X3,the_carrier(X1)) )
     => element(meet_commut(X1,X2,X3),the_carrier(X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k4_lattices) ).

fof(d13_lattices,axiom,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & meet_semilatt_str(X1) )
     => ( lower_bounded_semilattstr(X1)
      <=> ? [X2] :
            ( element(X2,the_carrier(X1))
            & ! [X3] :
                ( element(X3,the_carrier(X1))
               => ( meet(X1,X2,X3) = X2
                  & meet(X1,X3,X2) = X2 ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d13_lattices) ).

fof(c_0_19,plain,
    ! [X2] :
      ( ~ empty(X2)
      | X2 = empty_set ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).

fof(c_0_20,plain,
    ! [X3] :
      ( element(esk15_1(X3),powerset(X3))
      & empty(esk15_1(X3)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).

cnf(c_0_21,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,plain,
    empty(esk15_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_23,plain,
    ! [X4,X5,X6] :
      ( ~ in(X4,X5)
      | ~ element(X5,powerset(X6))
      | ~ empty(X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).

cnf(c_0_24,plain,
    element(esk15_1(X1),powerset(X1)),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_25,plain,
    esk15_1(X1) = empty_set,
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,plain,
    ( ~ empty(X1)
    | ~ element(X2,powerset(X1))
    | ~ in(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_27,plain,
    element(empty_set,powerset(X1)),
    inference(rw,[status(thm)],[c_0_24,c_0_25]) ).

fof(c_0_28,plain,
    ! [X5,X6,X7,X8,X7] :
      ( ( ~ latt_element_smaller(X5,X6,X7)
        | ~ element(X8,the_carrier(X5))
        | ~ in(X8,X7)
        | below(X5,X8,X6)
        | ~ element(X6,the_carrier(X5))
        | empty_carrier(X5)
        | ~ latt_str(X5) )
      & ( element(esk4_3(X5,X6,X7),the_carrier(X5))
        | latt_element_smaller(X5,X6,X7)
        | ~ element(X6,the_carrier(X5))
        | empty_carrier(X5)
        | ~ latt_str(X5) )
      & ( in(esk4_3(X5,X6,X7),X7)
        | latt_element_smaller(X5,X6,X7)
        | ~ element(X6,the_carrier(X5))
        | empty_carrier(X5)
        | ~ latt_str(X5) )
      & ( ~ below(X5,esk4_3(X5,X6,X7),X6)
        | latt_element_smaller(X5,X6,X7)
        | ~ element(X6,the_carrier(X5))
        | empty_carrier(X5)
        | ~ latt_str(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d17_lattice3])])])])])])])]) ).

fof(c_0_29,plain,
    ! [X5,X6,X7,X8] :
      ( ( latt_element_smaller(X5,X7,X6)
        | X7 != join_of_latt_set(X5,X6)
        | ~ element(X7,the_carrier(X5))
        | empty_carrier(X5)
        | ~ lattice(X5)
        | ~ complete_latt_str(X5)
        | ~ latt_str(X5)
        | empty_carrier(X5)
        | ~ latt_str(X5) )
      & ( ~ element(X8,the_carrier(X5))
        | ~ latt_element_smaller(X5,X8,X6)
        | below(X5,X7,X8)
        | X7 != join_of_latt_set(X5,X6)
        | ~ element(X7,the_carrier(X5))
        | empty_carrier(X5)
        | ~ lattice(X5)
        | ~ complete_latt_str(X5)
        | ~ latt_str(X5)
        | empty_carrier(X5)
        | ~ latt_str(X5) )
      & ( element(esk5_3(X5,X6,X7),the_carrier(X5))
        | ~ latt_element_smaller(X5,X7,X6)
        | X7 = join_of_latt_set(X5,X6)
        | ~ element(X7,the_carrier(X5))
        | empty_carrier(X5)
        | ~ lattice(X5)
        | ~ complete_latt_str(X5)
        | ~ latt_str(X5)
        | empty_carrier(X5)
        | ~ latt_str(X5) )
      & ( latt_element_smaller(X5,esk5_3(X5,X6,X7),X6)
        | ~ latt_element_smaller(X5,X7,X6)
        | X7 = join_of_latt_set(X5,X6)
        | ~ element(X7,the_carrier(X5))
        | empty_carrier(X5)
        | ~ lattice(X5)
        | ~ complete_latt_str(X5)
        | ~ latt_str(X5)
        | empty_carrier(X5)
        | ~ latt_str(X5) )
      & ( ~ below(X5,X7,esk5_3(X5,X6,X7))
        | ~ latt_element_smaller(X5,X7,X6)
        | X7 = join_of_latt_set(X5,X6)
        | ~ element(X7,the_carrier(X5))
        | empty_carrier(X5)
        | ~ lattice(X5)
        | ~ complete_latt_str(X5)
        | ~ latt_str(X5)
        | empty_carrier(X5)
        | ~ latt_str(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d21_lattice3])])])])])])])]) ).

cnf(c_0_30,plain,
    ( ~ empty(X1)
    | ~ in(X2,empty_set) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_31,plain,
    ( empty_carrier(X1)
    | latt_element_smaller(X1,X2,X3)
    | in(esk4_3(X1,X2,X3),X3)
    | ~ latt_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_32,plain,
    ( empty_carrier(X1)
    | empty_carrier(X1)
    | below(X1,X2,X4)
    | ~ latt_str(X1)
    | ~ latt_str(X1)
    | ~ complete_latt_str(X1)
    | ~ lattice(X1)
    | ~ element(X2,the_carrier(X1))
    | X2 != join_of_latt_set(X1,X3)
    | ~ latt_element_smaller(X1,X4,X3)
    | ~ element(X4,the_carrier(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_33,plain,
    ( latt_element_smaller(X1,X2,empty_set)
    | empty_carrier(X1)
    | ~ empty(X3)
    | ~ element(X2,the_carrier(X1))
    | ~ latt_str(X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,plain,
    empty(empty_set),
    inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).

cnf(c_0_35,plain,
    ( empty_carrier(X1)
    | below(X1,X2,X4)
    | X2 != join_of_latt_set(X1,X3)
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ complete_latt_str(X1)
    | ~ latt_element_smaller(X1,X4,X3)
    | ~ element(X4,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    inference(cn,[status(thm)],[c_0_32]) ).

cnf(c_0_36,plain,
    ( latt_element_smaller(X1,X2,empty_set)
    | empty_carrier(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ latt_str(X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

fof(c_0_37,plain,
    ! [X3,X4] :
      ( empty_carrier(X3)
      | ~ latt_str(X3)
      | element(join_of_latt_set(X3,X4),the_carrier(X3)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k15_lattice3])])])])]) ).

cnf(c_0_38,plain,
    ( empty_carrier(X1)
    | empty_carrier(X1)
    | X2 = join_of_latt_set(X1,X3)
    | ~ latt_str(X1)
    | ~ latt_str(X1)
    | ~ complete_latt_str(X1)
    | ~ lattice(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ latt_element_smaller(X1,X2,X3)
    | ~ below(X1,X2,esk5_3(X1,X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_39,plain,
    ( below(X1,X2,X3)
    | empty_carrier(X1)
    | X2 != join_of_latt_set(X1,empty_set)
    | ~ complete_latt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ lattice(X1)
    | ~ latt_str(X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    ( element(join_of_latt_set(X1,X2),the_carrier(X1))
    | empty_carrier(X1)
    | ~ latt_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_41,plain,
    ( empty_carrier(X1)
    | empty_carrier(X1)
    | X2 = join_of_latt_set(X1,X3)
    | element(esk5_3(X1,X3,X2),the_carrier(X1))
    | ~ latt_str(X1)
    | ~ latt_str(X1)
    | ~ complete_latt_str(X1)
    | ~ lattice(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ latt_element_smaller(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_42,plain,
    ! [X3,X4] :
      ( ~ in(X3,X4)
      | ~ empty(X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).

fof(c_0_43,plain,
    ! [X4,X5,X6] :
      ( empty_carrier(X4)
      | ~ join_commutative(X4)
      | ~ join_semilatt_str(X4)
      | ~ element(X5,the_carrier(X4))
      | ~ element(X6,the_carrier(X4))
      | ~ below(X4,X5,X6)
      | ~ below(X4,X6,X5)
      | X5 = X6 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t26_lattices])])])])])]) ).

fof(c_0_44,plain,
    ! [X4,X5,X6] :
      ( empty_carrier(X4)
      | ~ meet_commutative(X4)
      | ~ meet_absorbing(X4)
      | ~ latt_str(X4)
      | ~ element(X5,the_carrier(X4))
      | ~ element(X6,the_carrier(X4))
      | below(X4,meet_commut(X4,X5,X6),X5) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t23_lattices])])])])])]) ).

fof(c_0_45,plain,
    ! [X2] :
      ( ( meet_semilatt_str(X2)
        | ~ latt_str(X2) )
      & ( join_semilatt_str(X2)
        | ~ latt_str(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).

cnf(c_0_46,plain,
    ( X2 = join_of_latt_set(X1,X3)
    | empty_carrier(X1)
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ complete_latt_str(X1)
    | ~ latt_element_smaller(X1,X2,X3)
    | ~ element(X2,the_carrier(X1))
    | ~ below(X1,X2,esk5_3(X1,X3,X2)) ),
    inference(cn,[status(thm)],[c_0_38]) ).

cnf(c_0_47,plain,
    ( below(X1,join_of_latt_set(X1,empty_set),X2)
    | empty_carrier(X1)
    | ~ complete_latt_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ lattice(X1)
    | ~ latt_str(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_39]),c_0_40]) ).

cnf(c_0_48,plain,
    ( X2 = join_of_latt_set(X1,X3)
    | empty_carrier(X1)
    | element(esk5_3(X1,X3,X2),the_carrier(X1))
    | ~ latt_str(X1)
    | ~ lattice(X1)
    | ~ complete_latt_str(X1)
    | ~ latt_element_smaller(X1,X2,X3)
    | ~ element(X2,the_carrier(X1)) ),
    inference(cn,[status(thm)],[c_0_41]) ).

cnf(c_0_49,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_50,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ empty_carrier(X1)
          & lattice(X1)
          & complete_latt_str(X1)
          & latt_str(X1) )
       => ( ~ empty_carrier(X1)
          & lattice(X1)
          & lower_bounded_semilattstr(X1)
          & latt_str(X1)
          & bottom_of_semilattstr(X1) = join_of_latt_set(X1,empty_set) ) ),
    inference(assume_negation,[status(cth)],[t50_lattice3]) ).

fof(c_0_51,plain,
    ! [X4,X5,X6] :
      ( empty_carrier(X4)
      | ~ meet_commutative(X4)
      | ~ meet_semilatt_str(X4)
      | ~ element(X5,the_carrier(X4))
      | ~ element(X6,the_carrier(X4))
      | meet_commut(X4,X5,X6) = meet(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k4_lattices])])]) ).

fof(c_0_52,plain,
    ! [X4,X5,X6] :
      ( ( meet(X4,X5,X6) = X5
        | ~ element(X6,the_carrier(X4))
        | X5 != bottom_of_semilattstr(X4)
        | ~ element(X5,the_carrier(X4))
        | ~ lower_bounded_semilattstr(X4)
        | empty_carrier(X4)
        | ~ meet_semilatt_str(X4) )
      & ( meet(X4,X6,X5) = X5
        | ~ element(X6,the_carrier(X4))
        | X5 != bottom_of_semilattstr(X4)
        | ~ element(X5,the_carrier(X4))
        | ~ lower_bounded_semilattstr(X4)
        | empty_carrier(X4)
        | ~ meet_semilatt_str(X4) )
      & ( element(esk3_2(X4,X5),the_carrier(X4))
        | X5 = bottom_of_semilattstr(X4)
        | ~ element(X5,the_carrier(X4))
        | ~ lower_bounded_semilattstr(X4)
        | empty_carrier(X4)
        | ~ meet_semilatt_str(X4) )
      & ( meet(X4,X5,esk3_2(X4,X5)) != X5
        | meet(X4,esk3_2(X4,X5),X5) != X5
        | X5 = bottom_of_semilattstr(X4)
        | ~ element(X5,the_carrier(X4))
        | ~ lower_bounded_semilattstr(X4)
        | empty_carrier(X4)
        | ~ meet_semilatt_str(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d16_lattices])])])])])])])]) ).

fof(c_0_53,plain,
    ! [X2] :
      ( empty_carrier(X2)
      | ~ meet_semilatt_str(X2)
      | element(bottom_of_semilattstr(X2),the_carrier(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k5_lattices])])]) ).

cnf(c_0_54,plain,
    ( X1 = X2
    | empty_carrier(X3)
    | ~ below(X3,X2,X1)
    | ~ below(X3,X1,X2)
    | ~ element(X2,the_carrier(X3))
    | ~ element(X1,the_carrier(X3))
    | ~ join_semilatt_str(X3)
    | ~ join_commutative(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_55,plain,
    ( below(X1,meet_commut(X1,X2,X3),X2)
    | empty_carrier(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ latt_str(X1)
    | ~ meet_absorbing(X1)
    | ~ meet_commutative(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_56,plain,
    ( join_semilatt_str(X1)
    | ~ latt_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

fof(c_0_57,plain,
    ! [X2] :
      ( ( ~ empty_carrier(X2)
        | empty_carrier(X2)
        | ~ lattice(X2)
        | ~ latt_str(X2) )
      & ( join_commutative(X2)
        | empty_carrier(X2)
        | ~ lattice(X2)
        | ~ latt_str(X2) )
      & ( join_associative(X2)
        | empty_carrier(X2)
        | ~ lattice(X2)
        | ~ latt_str(X2) )
      & ( meet_commutative(X2)
        | empty_carrier(X2)
        | ~ lattice(X2)
        | ~ latt_str(X2) )
      & ( meet_associative(X2)
        | empty_carrier(X2)
        | ~ lattice(X2)
        | ~ latt_str(X2) )
      & ( meet_absorbing(X2)
        | empty_carrier(X2)
        | ~ lattice(X2)
        | ~ latt_str(X2) )
      & ( join_absorbing(X2)
        | empty_carrier(X2)
        | ~ lattice(X2)
        | ~ latt_str(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc1_lattices])])])]) ).

cnf(c_0_58,plain,
    ( join_of_latt_set(X1,empty_set) = join_of_latt_set(X1,X2)
    | empty_carrier(X1)
    | ~ complete_latt_str(X1)
    | ~ latt_element_smaller(X1,join_of_latt_set(X1,empty_set),X2)
    | ~ lattice(X1)
    | ~ latt_str(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_40]) ).

cnf(c_0_59,plain,
    ( latt_element_smaller(X1,X2,X3)
    | empty_carrier(X1)
    | ~ empty(X3)
    | ~ element(X2,the_carrier(X1))
    | ~ latt_str(X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_31]) ).

fof(c_0_60,negated_conjecture,
    ( ~ empty_carrier(esk19_0)
    & lattice(esk19_0)
    & complete_latt_str(esk19_0)
    & latt_str(esk19_0)
    & ( empty_carrier(esk19_0)
      | ~ lattice(esk19_0)
      | ~ lower_bounded_semilattstr(esk19_0)
      | ~ latt_str(esk19_0)
      | bottom_of_semilattstr(esk19_0) != join_of_latt_set(esk19_0,empty_set) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_50])])])]) ).

cnf(c_0_61,plain,
    ( meet_commut(X1,X2,X3) = meet(X1,X2,X3)
    | empty_carrier(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ meet_semilatt_str(X1)
    | ~ meet_commutative(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_62,plain,
    ( meet_semilatt_str(X1)
    | ~ latt_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_63,plain,
    ( empty_carrier(X1)
    | meet(X1,X3,X2) = X2
    | ~ meet_semilatt_str(X1)
    | ~ lower_bounded_semilattstr(X1)
    | ~ element(X2,the_carrier(X1))
    | X2 != bottom_of_semilattstr(X1)
    | ~ element(X3,the_carrier(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_64,plain,
    ( element(bottom_of_semilattstr(X1),the_carrier(X1))
    | empty_carrier(X1)
    | ~ meet_semilatt_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

fof(c_0_65,plain,
    ! [X4,X5,X6] :
      ( empty_carrier(X4)
      | ~ meet_commutative(X4)
      | ~ meet_semilatt_str(X4)
      | ~ element(X5,the_carrier(X4))
      | ~ element(X6,the_carrier(X4))
      | meet_commut(X4,X5,X6) = meet_commut(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[commutativity_k4_lattices])])]) ).

cnf(c_0_66,plain,
    ( meet_commut(X1,X2,X3) = X2
    | empty_carrier(X1)
    | ~ below(X1,X2,meet_commut(X1,X2,X3))
    | ~ element(meet_commut(X1,X2,X3),the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ meet_absorbing(X1)
    | ~ meet_commutative(X1)
    | ~ join_commutative(X1)
    | ~ latt_str(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).

cnf(c_0_67,plain,
    ( empty_carrier(X1)
    | join_commutative(X1)
    | ~ latt_str(X1)
    | ~ lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_68,plain,
    ( empty_carrier(X1)
    | meet_commutative(X1)
    | ~ latt_str(X1)
    | ~ lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_69,plain,
    ( empty_carrier(X1)
    | meet_absorbing(X1)
    | ~ latt_str(X1)
    | ~ lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

fof(c_0_70,plain,
    ! [X4,X5,X6] :
      ( empty_carrier(X4)
      | ~ meet_commutative(X4)
      | ~ meet_semilatt_str(X4)
      | ~ element(X5,the_carrier(X4))
      | ~ element(X6,the_carrier(X4))
      | element(meet_commut(X4,X5,X6),the_carrier(X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k4_lattices])])]) ).

cnf(c_0_71,plain,
    ( join_of_latt_set(X1,empty_set) = join_of_latt_set(X1,X2)
    | empty_carrier(X1)
    | ~ empty(X2)
    | ~ complete_latt_str(X1)
    | ~ lattice(X1)
    | ~ latt_str(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_40]) ).

cnf(c_0_72,negated_conjecture,
    complete_latt_str(esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_73,negated_conjecture,
    lattice(esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_74,negated_conjecture,
    latt_str(esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_75,negated_conjecture,
    ~ empty_carrier(esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_76,plain,
    ( below(X1,meet(X1,X2,X3),X2)
    | empty_carrier(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ meet_absorbing(X1)
    | ~ meet_commutative(X1)
    | ~ latt_str(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_61]),c_0_62]) ).

cnf(c_0_77,plain,
    ( meet(X1,X2,bottom_of_semilattstr(X1)) = bottom_of_semilattstr(X1)
    | empty_carrier(X1)
    | ~ lower_bounded_semilattstr(X1)
    | ~ meet_semilatt_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_63]),c_0_64]) ).

cnf(c_0_78,plain,
    ( meet_commut(X1,X2,X3) = meet_commut(X1,X3,X2)
    | empty_carrier(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ meet_semilatt_str(X1)
    | ~ meet_commutative(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_79,plain,
    ( meet_commut(X1,join_of_latt_set(X1,empty_set),X2) = join_of_latt_set(X1,empty_set)
    | empty_carrier(X1)
    | ~ complete_latt_str(X1)
    | ~ element(meet_commut(X1,join_of_latt_set(X1,empty_set),X2),the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ lattice(X1)
    | ~ latt_str(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_47]),c_0_67]),c_0_68]),c_0_69]),c_0_40]) ).

cnf(c_0_80,plain,
    ( element(meet_commut(X1,X2,X3),the_carrier(X1))
    | empty_carrier(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ meet_semilatt_str(X1)
    | ~ meet_commutative(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_81,negated_conjecture,
    ( join_of_latt_set(esk19_0,empty_set) = join_of_latt_set(esk19_0,X1)
    | ~ empty(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74])]),c_0_75]) ).

cnf(c_0_82,plain,
    ( X1 = join_of_latt_set(X2,empty_set)
    | empty_carrier(X2)
    | ~ complete_latt_str(X2)
    | ~ below(X2,X1,join_of_latt_set(X2,empty_set))
    | ~ element(X1,the_carrier(X2))
    | ~ lattice(X2)
    | ~ latt_str(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_47]),c_0_67]),c_0_40]),c_0_56]) ).

cnf(c_0_83,plain,
    ( below(X1,bottom_of_semilattstr(X1),X2)
    | empty_carrier(X1)
    | ~ lower_bounded_semilattstr(X1)
    | ~ element(bottom_of_semilattstr(X1),the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ meet_absorbing(X1)
    | ~ meet_commutative(X1)
    | ~ latt_str(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_62]) ).

fof(c_0_84,plain,
    ! [X4,X6,X7] :
      ( ( element(esk1_1(X4),the_carrier(X4))
        | ~ lower_bounded_semilattstr(X4)
        | empty_carrier(X4)
        | ~ meet_semilatt_str(X4) )
      & ( meet(X4,esk1_1(X4),X6) = esk1_1(X4)
        | ~ element(X6,the_carrier(X4))
        | ~ lower_bounded_semilattstr(X4)
        | empty_carrier(X4)
        | ~ meet_semilatt_str(X4) )
      & ( meet(X4,X6,esk1_1(X4)) = esk1_1(X4)
        | ~ element(X6,the_carrier(X4))
        | ~ lower_bounded_semilattstr(X4)
        | empty_carrier(X4)
        | ~ meet_semilatt_str(X4) )
      & ( element(esk2_2(X4,X7),the_carrier(X4))
        | ~ element(X7,the_carrier(X4))
        | lower_bounded_semilattstr(X4)
        | empty_carrier(X4)
        | ~ meet_semilatt_str(X4) )
      & ( meet(X4,X7,esk2_2(X4,X7)) != X7
        | meet(X4,esk2_2(X4,X7),X7) != X7
        | ~ element(X7,the_carrier(X4))
        | lower_bounded_semilattstr(X4)
        | empty_carrier(X4)
        | ~ meet_semilatt_str(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d13_lattices])])])])])])])]) ).

cnf(c_0_85,plain,
    ( meet_commut(X1,X2,X3) = meet(X1,X3,X2)
    | empty_carrier(X1)
    | ~ meet_semilatt_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ meet_commutative(X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_78]) ).

cnf(c_0_86,plain,
    ( meet_commut(X1,join_of_latt_set(X1,empty_set),X2) = join_of_latt_set(X1,empty_set)
    | empty_carrier(X1)
    | ~ complete_latt_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ lattice(X1)
    | ~ latt_str(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_68]),c_0_40]),c_0_62]) ).

cnf(c_0_87,negated_conjecture,
    ( element(join_of_latt_set(esk19_0,empty_set),the_carrier(esk19_0))
    | ~ empty(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_81]),c_0_74])]),c_0_75]) ).

cnf(c_0_88,negated_conjecture,
    ( empty_carrier(esk19_0)
    | bottom_of_semilattstr(esk19_0) != join_of_latt_set(esk19_0,empty_set)
    | ~ latt_str(esk19_0)
    | ~ lower_bounded_semilattstr(esk19_0)
    | ~ lattice(esk19_0) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_89,plain,
    ( bottom_of_semilattstr(X1) = join_of_latt_set(X1,empty_set)
    | empty_carrier(X1)
    | ~ complete_latt_str(X1)
    | ~ lower_bounded_semilattstr(X1)
    | ~ element(bottom_of_semilattstr(X1),the_carrier(X1))
    | ~ lattice(X1)
    | ~ latt_str(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_68]),c_0_69]),c_0_40]) ).

cnf(c_0_90,plain,
    ( empty_carrier(X1)
    | lower_bounded_semilattstr(X1)
    | ~ meet_semilatt_str(X1)
    | ~ element(X2,the_carrier(X1))
    | meet(X1,esk2_2(X1,X2),X2) != X2
    | meet(X1,X2,esk2_2(X1,X2)) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_91,plain,
    ( meet(X1,X2,X3) = meet(X1,X3,X2)
    | empty_carrier(X1)
    | ~ meet_semilatt_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ meet_commutative(X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_85]) ).

cnf(c_0_92,plain,
    ( empty_carrier(X1)
    | lower_bounded_semilattstr(X1)
    | element(esk2_2(X1,X2),the_carrier(X1))
    | ~ meet_semilatt_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_93,negated_conjecture,
    ( meet_commut(esk19_0,join_of_latt_set(esk19_0,empty_set),X1) = join_of_latt_set(esk19_0,empty_set)
    | ~ element(X1,the_carrier(esk19_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_81]),c_0_72]),c_0_73]),c_0_74]),c_0_34])]),c_0_75]) ).

cnf(c_0_94,negated_conjecture,
    meet_semilatt_str(esk19_0),
    inference(spm,[status(thm)],[c_0_62,c_0_74]) ).

cnf(c_0_95,negated_conjecture,
    element(join_of_latt_set(esk19_0,empty_set),the_carrier(esk19_0)),
    inference(spm,[status(thm)],[c_0_87,c_0_34]) ).

cnf(c_0_96,negated_conjecture,
    ( bottom_of_semilattstr(esk19_0) != join_of_latt_set(esk19_0,empty_set)
    | ~ lower_bounded_semilattstr(esk19_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_74]),c_0_73])]),c_0_75]) ).

cnf(c_0_97,plain,
    ( bottom_of_semilattstr(X1) = join_of_latt_set(X1,empty_set)
    | empty_carrier(X1)
    | ~ complete_latt_str(X1)
    | ~ lower_bounded_semilattstr(X1)
    | ~ lattice(X1)
    | ~ latt_str(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_64]),c_0_62]) ).

cnf(c_0_98,plain,
    ( lower_bounded_semilattstr(X1)
    | empty_carrier(X1)
    | meet(X1,X2,esk2_2(X1,X2)) != X2
    | ~ meet_semilatt_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ meet_commutative(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).

cnf(c_0_99,negated_conjecture,
    ( meet(esk19_0,join_of_latt_set(esk19_0,empty_set),X1) = join_of_latt_set(esk19_0,empty_set)
    | ~ element(X1,the_carrier(esk19_0))
    | ~ meet_commutative(esk19_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_93]),c_0_94]),c_0_95])]),c_0_75]) ).

cnf(c_0_100,negated_conjecture,
    ~ lower_bounded_semilattstr(esk19_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_72]),c_0_73]),c_0_74])]),c_0_75]) ).

cnf(c_0_101,negated_conjecture,
    ( ~ element(esk2_2(esk19_0,join_of_latt_set(esk19_0,empty_set)),the_carrier(esk19_0))
    | ~ meet_commutative(esk19_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_94]),c_0_95])]),c_0_100]),c_0_75]) ).

cnf(c_0_102,negated_conjecture,
    ~ meet_commutative(esk19_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_92]),c_0_94]),c_0_95])]),c_0_100]),c_0_75]) ).

cnf(c_0_103,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_68]),c_0_73]),c_0_74])]),c_0_75]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU352+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 19 17:11:32 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.21/1.41  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.21/1.41  # Preprocessing time       : 0.021 s
% 0.21/1.41  
% 0.21/1.41  # Proof found!
% 0.21/1.41  # SZS status Theorem
% 0.21/1.41  # SZS output start CNFRefutation
% See solution above
% 0.21/1.41  # Proof object total steps             : 104
% 0.21/1.41  # Proof object clause steps            : 66
% 0.21/1.41  # Proof object formula steps           : 38
% 0.21/1.41  # Proof object conjectures             : 19
% 0.21/1.41  # Proof object clause conjectures      : 16
% 0.21/1.41  # Proof object formula conjectures     : 3
% 0.21/1.41  # Proof object initial clauses used    : 30
% 0.21/1.41  # Proof object initial formulas used   : 19
% 0.21/1.41  # Proof object generating inferences   : 31
% 0.21/1.41  # Proof object simplifying inferences  : 67
% 0.21/1.41  # Training examples: 0 positive, 0 negative
% 0.21/1.41  # Parsed axioms                        : 73
% 0.21/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.21/1.41  # Initial clauses                      : 116
% 0.21/1.41  # Removed in clause preprocessing      : 15
% 0.21/1.41  # Initial clauses in saturation        : 101
% 0.21/1.41  # Processed clauses                    : 6464
% 0.21/1.41  # ...of these trivial                  : 7
% 0.21/1.41  # ...subsumed                          : 5342
% 0.21/1.41  # ...remaining for further processing  : 1115
% 0.21/1.41  # Other redundant clauses eliminated   : 0
% 0.21/1.41  # Clauses deleted for lack of memory   : 0
% 0.21/1.41  # Backward-subsumed                    : 175
% 0.21/1.41  # Backward-rewritten                   : 6
% 0.21/1.41  # Generated clauses                    : 24897
% 0.21/1.41  # ...of the previous two non-trivial   : 23485
% 0.21/1.41  # Contextual simplify-reflections      : 7337
% 0.21/1.41  # Paramodulations                      : 24876
% 0.21/1.41  # Factorizations                       : 0
% 0.21/1.41  # Equation resolutions                 : 21
% 0.21/1.41  # Current number of processed clauses  : 934
% 0.21/1.41  #    Positive orientable unit clauses  : 32
% 0.21/1.41  #    Positive unorientable unit clauses: 1
% 0.21/1.41  #    Negative unit clauses             : 11
% 0.21/1.41  #    Non-unit-clauses                  : 890
% 0.21/1.41  # Current number of unprocessed clauses: 14102
% 0.21/1.41  # ...number of literals in the above   : 80054
% 0.21/1.41  # Current number of archived formulas  : 0
% 0.21/1.41  # Current number of archived clauses   : 182
% 0.21/1.41  # Clause-clause subsumption calls (NU) : 1326564
% 0.21/1.41  # Rec. Clause-clause subsumption calls : 479153
% 0.21/1.41  # Non-unit clause-clause subsumptions  : 12316
% 0.21/1.41  # Unit Clause-clause subsumption calls : 1667
% 0.21/1.41  # Rewrite failures with RHS unbound    : 0
% 0.21/1.41  # BW rewrite match attempts            : 23
% 0.21/1.41  # BW rewrite match successes           : 7
% 0.21/1.41  # Condensation attempts                : 0
% 0.21/1.41  # Condensation successes               : 0
% 0.21/1.41  # Termbank termtop insertions          : 581992
% 0.21/1.41  
% 0.21/1.41  # -------------------------------------------------
% 0.21/1.41  # User time                : 0.687 s
% 0.21/1.41  # System time              : 0.010 s
% 0.21/1.41  # Total time               : 0.697 s
% 0.21/1.41  # Maximum resident set size: 17436 pages
% 0.21/23.40  eprover: CPU time limit exceeded, terminating
% 0.21/23.40  eprover: CPU time limit exceeded, terminating
% 0.21/23.42  eprover: CPU time limit exceeded, terminating
% 0.21/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42  eprover: No such file or directory
% 0.21/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42  eprover: No such file or directory
% 0.21/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42  eprover: No such file or directory
% 0.21/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42  eprover: No such file or directory
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------