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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU345+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n007.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 09:19:11 EDT 2022

% Result   : Theorem 0.23s 1.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   57 (  19 unt;   0 def)
%            Number of atoms       :  228 (  65 equ)
%            Maximal formula atoms :   32 (   4 avg)
%            Number of connectives :  282 ( 111   ~; 122   |;  32   &)
%                                         (   4 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;   3 con; 0-3 aty)
%            Number of variables   :   95 (  13 sgn  51   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(d1_lattice3,axiom,
    ! [X1,X2] :
      ( ( strict_latt_str(X2)
        & latt_str(X2) )
     => ( X2 = boole_lattice(X1)
      <=> ( the_carrier(X2) = powerset(X1)
          & ! [X3] :
              ( element(X3,powerset(X1))
             => ! [X4] :
                  ( element(X4,powerset(X1))
                 => ( apply_binary(the_L_join(X2),X3,X4) = subset_union2(X1,X3,X4)
                    & apply_binary(the_L_meet(X2),X3,X4) = subset_intersection2(X1,X3,X4) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_lattice3) ).

fof(dt_k1_lattice3,axiom,
    ! [X1] :
      ( strict_latt_str(boole_lattice(X1))
      & latt_str(boole_lattice(X1)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k1_lattice3) ).

fof(dt_l3_lattices,axiom,
    ! [X1] :
      ( latt_str(X1)
     => ( meet_semilatt_str(X1)
        & join_semilatt_str(X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l3_lattices) ).

fof(t1_lattice3,axiom,
    ! [X1,X2] :
      ( element(X2,the_carrier(boole_lattice(X1)))
     => ! [X3] :
          ( element(X3,the_carrier(boole_lattice(X1)))
         => ( join(boole_lattice(X1),X2,X3) = set_union2(X2,X3)
            & meet(boole_lattice(X1),X2,X3) = set_intersection2(X2,X3) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_lattice3) ).

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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k5_lattices) ).

fof(fc1_lattice3,axiom,
    ! [X1] :
      ( ~ empty_carrier(boole_lattice(X1))
      & strict_latt_str(boole_lattice(X1)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_lattice3) ).

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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d13_lattices) ).

fof(t2_boole,axiom,
    ! [X1] : set_intersection2(X1,empty_set) = empty_set,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_boole) ).

fof(commutativity_k3_xboole_0,axiom,
    ! [X1,X2] : set_intersection2(X1,X2) = set_intersection2(X2,X1),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k3_xboole_0) ).

fof(t3_subset,axiom,
    ! [X1,X2] :
      ( element(X1,powerset(X2))
    <=> subset(X1,X2) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t3_subset) ).

fof(t2_xboole_1,axiom,
    ! [X1] : subset(empty_set,X1),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_xboole_1) ).

fof(t3_lattice3,conjecture,
    ! [X1] :
      ( lower_bounded_semilattstr(boole_lattice(X1))
      & bottom_of_semilattstr(boole_lattice(X1)) = empty_set ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t3_lattice3) ).

fof(c_0_13,plain,
    ! [X5,X6,X7,X8] :
      ( ( the_carrier(X6) = powerset(X5)
        | X6 != boole_lattice(X5)
        | ~ strict_latt_str(X6)
        | ~ latt_str(X6) )
      & ( apply_binary(the_L_join(X6),X7,X8) = subset_union2(X5,X7,X8)
        | ~ element(X8,powerset(X5))
        | ~ element(X7,powerset(X5))
        | X6 != boole_lattice(X5)
        | ~ strict_latt_str(X6)
        | ~ latt_str(X6) )
      & ( apply_binary(the_L_meet(X6),X7,X8) = subset_intersection2(X5,X7,X8)
        | ~ element(X8,powerset(X5))
        | ~ element(X7,powerset(X5))
        | X6 != boole_lattice(X5)
        | ~ strict_latt_str(X6)
        | ~ latt_str(X6) )
      & ( element(esk4_2(X5,X6),powerset(X5))
        | the_carrier(X6) != powerset(X5)
        | X6 = boole_lattice(X5)
        | ~ strict_latt_str(X6)
        | ~ latt_str(X6) )
      & ( element(esk5_2(X5,X6),powerset(X5))
        | the_carrier(X6) != powerset(X5)
        | X6 = boole_lattice(X5)
        | ~ strict_latt_str(X6)
        | ~ latt_str(X6) )
      & ( apply_binary(the_L_join(X6),esk4_2(X5,X6),esk5_2(X5,X6)) != subset_union2(X5,esk4_2(X5,X6),esk5_2(X5,X6))
        | apply_binary(the_L_meet(X6),esk4_2(X5,X6),esk5_2(X5,X6)) != subset_intersection2(X5,esk4_2(X5,X6),esk5_2(X5,X6))
        | the_carrier(X6) != powerset(X5)
        | X6 = boole_lattice(X5)
        | ~ strict_latt_str(X6)
        | ~ latt_str(X6) ) ),
    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)],[d1_lattice3])])])])])])]) ).

fof(c_0_14,plain,
    ! [X2,X2] :
      ( strict_latt_str(boole_lattice(X2))
      & latt_str(boole_lattice(X2)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[dt_k1_lattice3])])]) ).

fof(c_0_15,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])])]) ).

fof(c_0_16,plain,
    ! [X4,X5,X6] :
      ( ( join(boole_lattice(X4),X5,X6) = set_union2(X5,X6)
        | ~ element(X6,the_carrier(boole_lattice(X4)))
        | ~ element(X5,the_carrier(boole_lattice(X4))) )
      & ( meet(boole_lattice(X4),X5,X6) = set_intersection2(X5,X6)
        | ~ element(X6,the_carrier(boole_lattice(X4)))
        | ~ element(X5,the_carrier(boole_lattice(X4))) ) ),
    inference(distribute,[status(thm)],[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)],[t1_lattice3])])])])])]) ).

cnf(c_0_17,plain,
    ( the_carrier(X1) = powerset(X2)
    | ~ latt_str(X1)
    | ~ strict_latt_str(X1)
    | X1 != boole_lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,plain,
    strict_latt_str(boole_lattice(X1)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    latt_str(boole_lattice(X1)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_20,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_21,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_22,plain,
    ( meet_semilatt_str(X1)
    | ~ latt_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_23,plain,
    ! [X2,X2] :
      ( ~ empty_carrier(boole_lattice(X2))
      & strict_latt_str(boole_lattice(X2)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_lattice3])])])]) ).

fof(c_0_24,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])])])])])])])]) ).

fof(c_0_25,plain,
    ! [X2] : set_intersection2(X2,empty_set) = empty_set,
    inference(variable_rename,[status(thm)],[t2_boole]) ).

fof(c_0_26,plain,
    ! [X3,X4] : set_intersection2(X3,X4) = set_intersection2(X4,X3),
    inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).

cnf(c_0_27,plain,
    ( meet(boole_lattice(X2),X1,X3) = set_intersection2(X1,X3)
    | ~ element(X1,the_carrier(boole_lattice(X2)))
    | ~ element(X3,the_carrier(boole_lattice(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_28,plain,
    the_carrier(boole_lattice(X1)) = powerset(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_17]),c_0_18]),c_0_19])]) ).

cnf(c_0_29,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_20]) ).

cnf(c_0_30,plain,
    ( element(bottom_of_semilattstr(X1),the_carrier(X1))
    | empty_carrier(X1)
    | ~ meet_semilatt_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31,plain,
    meet_semilatt_str(boole_lattice(X1)),
    inference(spm,[status(thm)],[c_0_22,c_0_19]) ).

cnf(c_0_32,plain,
    ~ empty_carrier(boole_lattice(X1)),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_33,plain,
    ! [X3,X4,X3,X4] :
      ( ( ~ element(X3,powerset(X4))
        | subset(X3,X4) )
      & ( ~ subset(X3,X4)
        | element(X3,powerset(X4)) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).

fof(c_0_34,plain,
    ! [X2] : subset(empty_set,X2),
    inference(variable_rename,[status(thm)],[t2_xboole_1]) ).

cnf(c_0_35,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_24]) ).

fof(c_0_36,negated_conjecture,
    ~ ! [X1] :
        ( lower_bounded_semilattstr(boole_lattice(X1))
        & bottom_of_semilattstr(boole_lattice(X1)) = empty_set ),
    inference(assume_negation,[status(cth)],[t3_lattice3]) ).

cnf(c_0_37,plain,
    set_intersection2(X1,empty_set) = empty_set,
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_38,plain,
    set_intersection2(X1,X2) = set_intersection2(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_39,plain,
    ( meet(boole_lattice(X1),X2,X3) = set_intersection2(X2,X3)
    | ~ element(X3,powerset(X1))
    | ~ element(X2,powerset(X1)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_28]) ).

cnf(c_0_40,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_29]),c_0_30]) ).

cnf(c_0_41,plain,
    element(bottom_of_semilattstr(boole_lattice(X1)),powerset(X1)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_31])]),c_0_32]) ).

cnf(c_0_42,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_43,plain,
    subset(empty_set,X1),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_44,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_24]) ).

cnf(c_0_45,plain,
    ( lower_bounded_semilattstr(boole_lattice(X1))
    | element(esk2_2(boole_lattice(X1),X2),powerset(X1))
    | ~ element(X2,powerset(X1)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_28]),c_0_31])]),c_0_32]) ).

fof(c_0_46,negated_conjecture,
    ( ~ lower_bounded_semilattstr(boole_lattice(esk22_0))
    | bottom_of_semilattstr(boole_lattice(esk23_0)) != empty_set ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).

cnf(c_0_47,plain,
    set_intersection2(empty_set,X1) = empty_set,
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_48,plain,
    ( set_intersection2(X1,bottom_of_semilattstr(boole_lattice(X2))) = bottom_of_semilattstr(boole_lattice(X2))
    | ~ lower_bounded_semilattstr(boole_lattice(X2))
    | ~ element(X1,powerset(X2)) ),
    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_39,c_0_40]),c_0_41]),c_0_31]),c_0_28])]),c_0_32]) ).

cnf(c_0_49,plain,
    element(empty_set,powerset(X1)),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_50,plain,
    ( lower_bounded_semilattstr(boole_lattice(X1))
    | meet(boole_lattice(X1),X2,esk2_2(boole_lattice(X1),X2)) != X2
    | set_intersection2(X2,esk2_2(boole_lattice(X1),X2)) != X2
    | ~ element(X2,powerset(X1)) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_39]),c_0_31]),c_0_28])]),c_0_32]),c_0_38]),c_0_45]) ).

cnf(c_0_51,negated_conjecture,
    ( bottom_of_semilattstr(boole_lattice(esk23_0)) != empty_set
    | ~ lower_bounded_semilattstr(boole_lattice(esk22_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_52,plain,
    ( bottom_of_semilattstr(boole_lattice(X1)) = empty_set
    | ~ lower_bounded_semilattstr(boole_lattice(X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).

cnf(c_0_53,plain,
    ( lower_bounded_semilattstr(boole_lattice(X1))
    | set_intersection2(X2,esk2_2(boole_lattice(X1),X2)) != X2
    | ~ element(X2,powerset(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_39]),c_0_45]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ lower_bounded_semilattstr(boole_lattice(esk22_0))
    | ~ lower_bounded_semilattstr(boole_lattice(esk23_0)) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_55,plain,
    lower_bounded_semilattstr(boole_lattice(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_47]),c_0_49])]) ).

cnf(c_0_56,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55]),c_0_55])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU345+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 20 06:33:59 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.23/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42  # Preprocessing time       : 0.019 s
% 0.23/1.42  
% 0.23/1.42  # Failure: Out of unprocessed clauses!
% 0.23/1.42  # OLD status GaveUp
% 0.23/1.42  # Parsed axioms                        : 102
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 58
% 0.23/1.42  # Initial clauses                      : 61
% 0.23/1.42  # Removed in clause preprocessing      : 0
% 0.23/1.42  # Initial clauses in saturation        : 61
% 0.23/1.42  # Processed clauses                    : 140
% 0.23/1.42  # ...of these trivial                  : 5
% 0.23/1.42  # ...subsumed                          : 35
% 0.23/1.42  # ...remaining for further processing  : 100
% 0.23/1.42  # Other redundant clauses eliminated   : 0
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 4
% 0.23/1.42  # Backward-rewritten                   : 8
% 0.23/1.42  # Generated clauses                    : 127
% 0.23/1.42  # ...of the previous two non-trivial   : 99
% 0.23/1.42  # Contextual simplify-reflections      : 10
% 0.23/1.42  # Paramodulations                      : 125
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 2
% 0.23/1.42  # Current number of processed clauses  : 88
% 0.23/1.42  #    Positive orientable unit clauses  : 31
% 0.23/1.42  #    Positive unorientable unit clauses: 2
% 0.23/1.42  #    Negative unit clauses             : 8
% 0.23/1.42  #    Non-unit-clauses                  : 47
% 0.23/1.42  # Current number of unprocessed clauses: 0
% 0.23/1.42  # ...number of literals in the above   : 0
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 12
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 940
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 415
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 47
% 0.23/1.42  # Unit Clause-clause subsumption calls : 117
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 11
% 0.23/1.42  # BW rewrite match successes           : 11
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 6090
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.020 s
% 0.23/1.42  # System time              : 0.004 s
% 0.23/1.42  # Total time               : 0.024 s
% 0.23/1.42  # Maximum resident set size: 3196 pages
% 0.23/1.42  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.23/1.42  # Preprocessing time       : 0.023 s
% 0.23/1.42  
% 0.23/1.42  # Proof found!
% 0.23/1.42  # SZS status Theorem
% 0.23/1.42  # SZS output start CNFRefutation
% See solution above
% 0.23/1.42  # Proof object total steps             : 57
% 0.23/1.42  # Proof object clause steps            : 30
% 0.23/1.42  # Proof object formula steps           : 27
% 0.23/1.42  # Proof object conjectures             : 6
% 0.23/1.42  # Proof object clause conjectures      : 3
% 0.23/1.42  # Proof object formula conjectures     : 3
% 0.23/1.42  # Proof object initial clauses used    : 15
% 0.23/1.42  # Proof object initial formulas used   : 13
% 0.23/1.42  # Proof object generating inferences   : 13
% 0.23/1.42  # Proof object simplifying inferences  : 31
% 0.23/1.42  # Training examples: 0 positive, 0 negative
% 0.23/1.42  # Parsed axioms                        : 102
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.42  # Initial clauses                      : 175
% 0.23/1.42  # Removed in clause preprocessing      : 17
% 0.23/1.42  # Initial clauses in saturation        : 158
% 0.23/1.42  # Processed clauses                    : 1555
% 0.23/1.42  # ...of these trivial                  : 10
% 0.23/1.42  # ...subsumed                          : 980
% 0.23/1.42  # ...remaining for further processing  : 565
% 0.23/1.42  # Other redundant clauses eliminated   : 0
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 55
% 0.23/1.42  # Backward-rewritten                   : 99
% 0.23/1.42  # Generated clauses                    : 4733
% 0.23/1.42  # ...of the previous two non-trivial   : 4327
% 0.23/1.42  # Contextual simplify-reflections      : 962
% 0.23/1.42  # Paramodulations                      : 4728
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 5
% 0.23/1.42  # Current number of processed clauses  : 411
% 0.23/1.42  #    Positive orientable unit clauses  : 71
% 0.23/1.42  #    Positive unorientable unit clauses: 3
% 0.23/1.42  #    Negative unit clauses             : 14
% 0.23/1.42  #    Non-unit-clauses                  : 323
% 0.23/1.42  # Current number of unprocessed clauses: 1223
% 0.23/1.42  # ...number of literals in the above   : 5473
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 155
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 93584
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 53971
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 1928
% 0.23/1.42  # Unit Clause-clause subsumption calls : 2013
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 64
% 0.23/1.42  # BW rewrite match successes           : 31
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 98970
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.172 s
% 0.23/1.42  # System time              : 0.005 s
% 0.23/1.42  # Total time               : 0.177 s
% 0.23/1.42  # Maximum resident set size: 6148 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------