TSTP Solution File: LAT319+2 by ET---2.0

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LAT319+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n026.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 : Sun Jul 17 04:47:01 EDT 2022

% Result   : Theorem 1.32s 162.49s
% Output   : CNFRefutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   10
% Syntax   : Number of formulae    :  107 (   8 unt;   0 def)
%            Number of atoms       :  686 (   6 equ)
%            Maximal formula atoms :   70 (   6 avg)
%            Number of connectives :  923 ( 344   ~; 430   |; 128   &)
%                                         (   7 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   19 (  17 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   46 (   0 sgn  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t19_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_lattices(X1)
        & l3_lattices(X1) )
     => k1_lattice2(k1_lattice2(X1)) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t19_lattice2) ).

fof(dt_k1_lattice2,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( v3_lattices(k1_lattice2(X1))
        & l3_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',dt_k1_lattice2) ).

fof(t54_filter_2,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & v17_lattices(X1)
          & l3_lattices(X1) )
      <=> ( ~ v3_struct_0(k1_lattice2(X1))
          & v10_lattices(k1_lattice2(X1))
          & v17_lattices(k1_lattice2(X1))
          & l3_lattices(k1_lattice2(X1)) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t54_filter_2) ).

fof(fc1_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l3_lattices(X1) )
     => ( ~ v3_struct_0(k1_lattice2(X1))
        & v3_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',fc1_lattice2) ).

fof(t65_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & v11_lattices(X1)
          & l3_lattices(X1) )
      <=> ( ~ v3_struct_0(k1_lattice2(X1))
          & v10_lattices(k1_lattice2(X1))
          & v11_lattices(k1_lattice2(X1))
          & l3_lattices(k1_lattice2(X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t65_lattice2) ).

fof(fc6_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( ~ v3_struct_0(k1_lattice2(X1))
        & v3_lattices(k1_lattice2(X1))
        & v4_lattices(k1_lattice2(X1))
        & v5_lattices(k1_lattice2(X1))
        & v6_lattices(k1_lattice2(X1))
        & v7_lattices(k1_lattice2(X1))
        & v8_lattices(k1_lattice2(X1))
        & v9_lattices(k1_lattice2(X1))
        & v10_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',fc6_lattice2) ).

fof(cc5_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( ~ v3_struct_0(X1)
          & v17_lattices(X1) )
       => ( ~ v3_struct_0(X1)
          & v11_lattices(X1)
          & v13_lattices(X1)
          & v14_lattices(X1)
          & v15_lattices(X1)
          & v16_lattices(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc5_lattices) ).

fof(t53_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & v15_lattices(X1)
          & v16_lattices(X1)
          & l3_lattices(X1) )
      <=> ( ~ v3_struct_0(k1_lattice2(X1))
          & v10_lattices(k1_lattice2(X1))
          & v15_lattices(k1_lattice2(X1))
          & v16_lattices(k1_lattice2(X1))
          & l3_lattices(k1_lattice2(X1)) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t53_filter_2) ).

fof(cc6_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( ~ v3_struct_0(X1)
          & v11_lattices(X1)
          & v15_lattices(X1)
          & v16_lattices(X1) )
       => ( ~ v3_struct_0(X1)
          & v17_lattices(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc6_lattices) ).

fof(c_0_9,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ v3_lattices(X2)
      | ~ l3_lattices(X2)
      | k1_lattice2(k1_lattice2(X2)) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t19_lattice2])])]) ).

fof(c_0_10,plain,
    ! [X2] :
      ( ( v3_lattices(k1_lattice2(X2))
        | ~ l3_lattices(X2) )
      & ( l3_lattices(k1_lattice2(X2))
        | ~ l3_lattices(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & l3_lattices(X1) )
       => ( ( ~ v3_struct_0(X1)
            & v10_lattices(X1)
            & v17_lattices(X1)
            & l3_lattices(X1) )
        <=> ( ~ v3_struct_0(k1_lattice2(X1))
            & v10_lattices(k1_lattice2(X1))
            & v17_lattices(k1_lattice2(X1))
            & l3_lattices(k1_lattice2(X1)) ) ) ),
    inference(assume_negation,[status(cth)],[t54_filter_2]) ).

fof(c_0_12,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ l3_lattices(X2) )
      & ( v3_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ l3_lattices(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_lattice2])])])]) ).

cnf(c_0_13,plain,
    ( k1_lattice2(k1_lattice2(X1)) = X1
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ( v3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_16,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v11_lattices(X2)
        | ~ l3_lattices(X2)
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v10_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v11_lattices(X2)
        | ~ l3_lattices(X2)
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v11_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v11_lattices(X2)
        | ~ l3_lattices(X2)
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( l3_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v11_lattices(X2)
        | ~ l3_lattices(X2)
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( ~ v3_struct_0(X2)
        | v3_struct_0(k1_lattice2(X2))
        | ~ v10_lattices(k1_lattice2(X2))
        | ~ v11_lattices(k1_lattice2(X2))
        | ~ l3_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v10_lattices(X2)
        | v3_struct_0(k1_lattice2(X2))
        | ~ v10_lattices(k1_lattice2(X2))
        | ~ v11_lattices(k1_lattice2(X2))
        | ~ l3_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v11_lattices(X2)
        | v3_struct_0(k1_lattice2(X2))
        | ~ v10_lattices(k1_lattice2(X2))
        | ~ v11_lattices(k1_lattice2(X2))
        | ~ l3_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( l3_lattices(X2)
        | v3_struct_0(k1_lattice2(X2))
        | ~ v10_lattices(k1_lattice2(X2))
        | ~ v11_lattices(k1_lattice2(X2))
        | ~ l3_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t65_lattice2])])])]) ).

fof(c_0_17,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v3_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v4_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v5_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v6_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v7_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v8_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v9_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v10_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc6_lattice2])])])]) ).

fof(c_0_18,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v10_lattices(esk1_0)
    & l3_lattices(esk1_0)
    & ( v3_struct_0(esk1_0)
      | ~ v10_lattices(esk1_0)
      | ~ v17_lattices(esk1_0)
      | ~ l3_lattices(esk1_0)
      | v3_struct_0(k1_lattice2(esk1_0))
      | ~ v10_lattices(k1_lattice2(esk1_0))
      | ~ v17_lattices(k1_lattice2(esk1_0))
      | ~ l3_lattices(k1_lattice2(esk1_0)) )
    & ( ~ v3_struct_0(k1_lattice2(esk1_0))
      | ~ v3_struct_0(esk1_0) )
    & ( v10_lattices(k1_lattice2(esk1_0))
      | ~ v3_struct_0(esk1_0) )
    & ( v17_lattices(k1_lattice2(esk1_0))
      | ~ v3_struct_0(esk1_0) )
    & ( l3_lattices(k1_lattice2(esk1_0))
      | ~ v3_struct_0(esk1_0) )
    & ( ~ v3_struct_0(k1_lattice2(esk1_0))
      | v10_lattices(esk1_0) )
    & ( v10_lattices(k1_lattice2(esk1_0))
      | v10_lattices(esk1_0) )
    & ( v17_lattices(k1_lattice2(esk1_0))
      | v10_lattices(esk1_0) )
    & ( l3_lattices(k1_lattice2(esk1_0))
      | v10_lattices(esk1_0) )
    & ( ~ v3_struct_0(k1_lattice2(esk1_0))
      | v17_lattices(esk1_0) )
    & ( v10_lattices(k1_lattice2(esk1_0))
      | v17_lattices(esk1_0) )
    & ( v17_lattices(k1_lattice2(esk1_0))
      | v17_lattices(esk1_0) )
    & ( l3_lattices(k1_lattice2(esk1_0))
      | v17_lattices(esk1_0) )
    & ( ~ v3_struct_0(k1_lattice2(esk1_0))
      | l3_lattices(esk1_0) )
    & ( v10_lattices(k1_lattice2(esk1_0))
      | l3_lattices(esk1_0) )
    & ( v17_lattices(k1_lattice2(esk1_0))
      | l3_lattices(esk1_0) )
    & ( l3_lattices(k1_lattice2(esk1_0))
      | l3_lattices(esk1_0) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_11])])])])]) ).

cnf(c_0_19,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,plain,
    ( k1_lattice2(k1_lattice2(k1_lattice2(X1))) = k1_lattice2(X1)
    | v3_struct_0(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

cnf(c_0_21,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(k1_lattice2(X1))
    | v11_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(k1_lattice2(X1))
    | ~ v11_lattices(k1_lattice2(X1))
    | ~ v10_lattices(k1_lattice2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_23,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_24,plain,
    ( k1_lattice2(k1_lattice2(k1_lattice2(X1))) = k1_lattice2(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(pm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    l3_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    ( v11_lattices(X1)
    | v3_struct_0(X1)
    | ~ v11_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_21,c_0_22]),c_0_15]),c_0_19]) ).

cnf(c_0_27,negated_conjecture,
    k1_lattice2(k1_lattice2(k1_lattice2(esk1_0))) = k1_lattice2(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

fof(c_0_28,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(X2)
        | v3_struct_0(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v11_lattices(X2)
        | v3_struct_0(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v13_lattices(X2)
        | v3_struct_0(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v14_lattices(X2)
        | v3_struct_0(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v15_lattices(X2)
        | v3_struct_0(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v16_lattices(X2)
        | v3_struct_0(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc5_lattices])])])]) ).

cnf(c_0_29,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X1)
    | v11_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_30,negated_conjecture,
    ( v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v11_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ l3_lattices(k1_lattice2(k1_lattice2(esk1_0))) ),
    inference(pm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    ( v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ l3_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v3_struct_0(k1_lattice2(esk1_0)) ),
    inference(pm,[status(thm)],[c_0_19,c_0_27]) ).

cnf(c_0_32,plain,
    ( v3_struct_0(X1)
    | v11_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    ( v3_struct_0(k1_lattice2(esk1_0))
    | v3_struct_0(esk1_0)
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v17_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_0))
    | ~ l3_lattices(esk1_0)
    | ~ v17_lattices(esk1_0)
    | ~ v10_lattices(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_34,negated_conjecture,
    v10_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_35,plain,
    ( v3_struct_0(X1)
    | v11_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v11_lattices(X1) ),
    inference(cn,[status(thm)],[c_0_29]) ).

cnf(c_0_36,negated_conjecture,
    ( v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v11_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ l3_lattices(k1_lattice2(esk1_0)) ),
    inference(pm,[status(thm)],[c_0_30,c_0_15]) ).

cnf(c_0_37,negated_conjecture,
    ( v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v3_struct_0(k1_lattice2(esk1_0)) ),
    inference(pm,[status(thm)],[c_0_31,c_0_15]) ).

cnf(c_0_38,plain,
    ( v11_lattices(X1)
    | v3_struct_0(X1)
    | ~ v17_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_26,c_0_32]),c_0_15]),c_0_19]) ).

cnf(c_0_39,negated_conjecture,
    ( v3_struct_0(k1_lattice2(esk1_0))
    | ~ v17_lattices(k1_lattice2(esk1_0))
    | ~ v17_lattices(esk1_0)
    | ~ v10_lattices(k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_25]),c_0_34])]),c_0_23]) ).

cnf(c_0_40,negated_conjecture,
    ( v11_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v10_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ l3_lattices(k1_lattice2(k1_lattice2(esk1_0))) ),
    inference(pm,[status(thm)],[c_0_35,c_0_27]) ).

cnf(c_0_41,negated_conjecture,
    ( v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v11_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(k1_lattice2(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_36,c_0_15]),c_0_25])]) ).

cnf(c_0_42,negated_conjecture,
    ( v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v3_struct_0(k1_lattice2(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_37,c_0_15]),c_0_25])]) ).

cnf(c_0_43,negated_conjecture,
    ( v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v17_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ l3_lattices(k1_lattice2(k1_lattice2(esk1_0))) ),
    inference(pm,[status(thm)],[c_0_38,c_0_27]) ).

cnf(c_0_44,negated_conjecture,
    ( v3_struct_0(k1_lattice2(esk1_0))
    | ~ v17_lattices(k1_lattice2(esk1_0))
    | ~ v17_lattices(esk1_0)
    | ~ v10_lattices(k1_lattice2(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_15]),c_0_25])]) ).

cnf(c_0_45,negated_conjecture,
    ( v11_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v10_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ l3_lattices(k1_lattice2(esk1_0)) ),
    inference(pm,[status(thm)],[c_0_40,c_0_15]) ).

cnf(c_0_46,negated_conjecture,
    ( v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v11_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0)) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_41,c_0_22]),c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    ( v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v17_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ l3_lattices(k1_lattice2(esk1_0)) ),
    inference(pm,[status(thm)],[c_0_43,c_0_15]) ).

cnf(c_0_48,negated_conjecture,
    ( v3_struct_0(k1_lattice2(esk1_0))
    | ~ v17_lattices(k1_lattice2(esk1_0))
    | ~ v17_lattices(esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_44,c_0_22]),c_0_34]),c_0_25])]),c_0_23]) ).

cnf(c_0_49,negated_conjecture,
    ( v17_lattices(esk1_0)
    | l3_lattices(k1_lattice2(esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_50,negated_conjecture,
    ( v17_lattices(esk1_0)
    | v10_lattices(k1_lattice2(esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_51,negated_conjecture,
    ( v11_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v10_lattices(k1_lattice2(k1_lattice2(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_45,c_0_15]),c_0_25])]) ).

cnf(c_0_52,negated_conjecture,
    ( v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v11_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_46,c_0_15]),c_0_25])]) ).

cnf(c_0_53,negated_conjecture,
    ( v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v17_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(k1_lattice2(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_47,c_0_15]),c_0_25])]) ).

cnf(c_0_54,negated_conjecture,
    ( l3_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ v17_lattices(k1_lattice2(esk1_0)) ),
    inference(pm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_55,negated_conjecture,
    ( v10_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ v17_lattices(k1_lattice2(esk1_0)) ),
    inference(pm,[status(thm)],[c_0_48,c_0_50]) ).

cnf(c_0_56,negated_conjecture,
    ( v11_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v10_lattices(k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0)) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_51,c_0_22]),c_0_42]) ).

cnf(c_0_57,negated_conjecture,
    ( v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v11_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_52,c_0_22]),c_0_34]),c_0_25])]),c_0_23]) ).

cnf(c_0_58,negated_conjecture,
    ( v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v17_lattices(k1_lattice2(esk1_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_53,c_0_22]),c_0_54]),c_0_55]),c_0_42]) ).

cnf(c_0_59,negated_conjecture,
    ( v17_lattices(esk1_0)
    | v17_lattices(k1_lattice2(esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_60,plain,
    ! [X1] :
      ( epred1_1(X1)
    <=> ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & v15_lattices(X1)
          & v16_lattices(X1)
          & l3_lattices(X1) )
      <=> ( ~ v3_struct_0(k1_lattice2(X1))
          & v10_lattices(k1_lattice2(X1))
          & v15_lattices(k1_lattice2(X1))
          & v16_lattices(k1_lattice2(X1))
          & l3_lattices(k1_lattice2(X1)) ) ) ),
    introduced(definition) ).

cnf(c_0_61,negated_conjecture,
    ( v11_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v10_lattices(k1_lattice2(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_56,c_0_15]),c_0_25])]) ).

cnf(c_0_62,negated_conjecture,
    ( v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v11_lattices(esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_57,c_0_35]),c_0_34]),c_0_25])]),c_0_23]) ).

cnf(c_0_63,negated_conjecture,
    ( v17_lattices(esk1_0)
    | v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0))) ),
    inference(pm,[status(thm)],[c_0_58,c_0_59]) ).

fof(c_0_64,plain,
    ! [X1] :
      ( epred1_1(X1)
     => ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & v15_lattices(X1)
          & v16_lattices(X1)
          & l3_lattices(X1) )
      <=> ( ~ v3_struct_0(k1_lattice2(X1))
          & v10_lattices(k1_lattice2(X1))
          & v15_lattices(k1_lattice2(X1))
          & v16_lattices(k1_lattice2(X1))
          & l3_lattices(k1_lattice2(X1)) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_60]) ).

fof(c_0_65,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => epred1_1(X1) ),
    inference(apply_def,[status(thm)],[t53_filter_2,c_0_60]) ).

fof(c_0_66,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(X2)
        | v3_struct_0(X2)
        | ~ v11_lattices(X2)
        | ~ v15_lattices(X2)
        | ~ v16_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v17_lattices(X2)
        | v3_struct_0(X2)
        | ~ v11_lattices(X2)
        | ~ v15_lattices(X2)
        | ~ v16_lattices(X2)
        | ~ l3_lattices(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc6_lattices])])])]) ).

cnf(c_0_67,negated_conjecture,
    ( v11_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0)))
    | ~ v11_lattices(k1_lattice2(k1_lattice2(esk1_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_61,c_0_22]),c_0_34]),c_0_25])]),c_0_23]) ).

cnf(c_0_68,negated_conjecture,
    ( v11_lattices(k1_lattice2(k1_lattice2(esk1_0)))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0))) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_62,c_0_32]),c_0_25])]),c_0_23]),c_0_63]) ).

fof(c_0_69,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v15_lattices(X2)
        | ~ v16_lattices(X2)
        | ~ l3_lattices(X2)
        | ~ epred1_1(X2) )
      & ( v10_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v15_lattices(X2)
        | ~ v16_lattices(X2)
        | ~ l3_lattices(X2)
        | ~ epred1_1(X2) )
      & ( v15_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v15_lattices(X2)
        | ~ v16_lattices(X2)
        | ~ l3_lattices(X2)
        | ~ epred1_1(X2) )
      & ( v16_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v15_lattices(X2)
        | ~ v16_lattices(X2)
        | ~ l3_lattices(X2)
        | ~ epred1_1(X2) )
      & ( l3_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v15_lattices(X2)
        | ~ v16_lattices(X2)
        | ~ l3_lattices(X2)
        | ~ epred1_1(X2) )
      & ( ~ v3_struct_0(X2)
        | v3_struct_0(k1_lattice2(X2))
        | ~ v10_lattices(k1_lattice2(X2))
        | ~ v15_lattices(k1_lattice2(X2))
        | ~ v16_lattices(k1_lattice2(X2))
        | ~ l3_lattices(k1_lattice2(X2))
        | ~ epred1_1(X2) )
      & ( v10_lattices(X2)
        | v3_struct_0(k1_lattice2(X2))
        | ~ v10_lattices(k1_lattice2(X2))
        | ~ v15_lattices(k1_lattice2(X2))
        | ~ v16_lattices(k1_lattice2(X2))
        | ~ l3_lattices(k1_lattice2(X2))
        | ~ epred1_1(X2) )
      & ( v15_lattices(X2)
        | v3_struct_0(k1_lattice2(X2))
        | ~ v10_lattices(k1_lattice2(X2))
        | ~ v15_lattices(k1_lattice2(X2))
        | ~ v16_lattices(k1_lattice2(X2))
        | ~ l3_lattices(k1_lattice2(X2))
        | ~ epred1_1(X2) )
      & ( v16_lattices(X2)
        | v3_struct_0(k1_lattice2(X2))
        | ~ v10_lattices(k1_lattice2(X2))
        | ~ v15_lattices(k1_lattice2(X2))
        | ~ v16_lattices(k1_lattice2(X2))
        | ~ l3_lattices(k1_lattice2(X2))
        | ~ epred1_1(X2) )
      & ( l3_lattices(X2)
        | v3_struct_0(k1_lattice2(X2))
        | ~ v10_lattices(k1_lattice2(X2))
        | ~ v15_lattices(k1_lattice2(X2))
        | ~ v16_lattices(k1_lattice2(X2))
        | ~ l3_lattices(k1_lattice2(X2))
        | ~ epred1_1(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_64])])])]) ).

fof(c_0_70,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ v10_lattices(X2)
      | ~ l3_lattices(X2)
      | epred1_1(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_65])])]) ).

cnf(c_0_71,plain,
    ( v3_struct_0(X1)
    | v17_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v11_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_72,negated_conjecture,
    ( v11_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(k1_lattice2(esk1_0))) ),
    inference(pm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_73,plain,
    ( v3_struct_0(X1)
    | v15_lattices(k1_lattice2(X1))
    | ~ epred1_1(X1)
    | ~ l3_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_74,plain,
    ( epred1_1(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_75,negated_conjecture,
    ( v17_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ v16_lattices(k1_lattice2(esk1_0))
    | ~ v15_lattices(k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0)) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_71,c_0_72]),c_0_19]) ).

cnf(c_0_76,plain,
    ( v15_lattices(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ v16_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_77,plain,
    ( v3_struct_0(X1)
    | v16_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_78,plain,
    ( v3_struct_0(X1)
    | v15_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_79,negated_conjecture,
    ( v17_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ v16_lattices(k1_lattice2(esk1_0))
    | ~ v15_lattices(k1_lattice2(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_75,c_0_15]),c_0_25])]) ).

cnf(c_0_80,plain,
    ( v15_lattices(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).

cnf(c_0_81,plain,
    ( v3_struct_0(X1)
    | v16_lattices(k1_lattice2(X1))
    | ~ epred1_1(X1)
    | ~ l3_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_82,negated_conjecture,
    ( v17_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ v16_lattices(k1_lattice2(esk1_0)) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_79,c_0_80]),c_0_34]),c_0_25])]),c_0_23]),c_0_59]) ).

cnf(c_0_83,plain,
    ( v16_lattices(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ v16_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[c_0_81,c_0_74]) ).

cnf(c_0_84,plain,
    ( v17_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ v16_lattices(esk1_0)
    | ~ v15_lattices(esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_82,c_0_83]),c_0_34]),c_0_25])]),c_0_23]) ).

cnf(c_0_85,plain,
    ( v17_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ v16_lattices(esk1_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_84,c_0_78]),c_0_25])]),c_0_23]),c_0_59]) ).

cnf(c_0_86,plain,
    ( v17_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(esk1_0)) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_85,c_0_77]),c_0_25])]),c_0_23]),c_0_59]) ).

cnf(c_0_87,negated_conjecture,
    ( l3_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(esk1_0)) ),
    inference(pm,[status(thm)],[c_0_54,c_0_86]) ).

cnf(c_0_88,plain,
    ( v3_struct_0(k1_lattice2(X1))
    | v15_lattices(X1)
    | ~ epred1_1(X1)
    | ~ l3_lattices(k1_lattice2(X1))
    | ~ v16_lattices(k1_lattice2(X1))
    | ~ v15_lattices(k1_lattice2(X1))
    | ~ v10_lattices(k1_lattice2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_89,negated_conjecture,
    l3_lattices(k1_lattice2(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_87]),c_0_25])]),c_0_23]) ).

cnf(c_0_90,negated_conjecture,
    ( v10_lattices(k1_lattice2(esk1_0))
    | v3_struct_0(k1_lattice2(esk1_0)) ),
    inference(pm,[status(thm)],[c_0_55,c_0_86]) ).

cnf(c_0_91,plain,
    ( v15_lattices(esk1_0)
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ epred1_1(esk1_0)
    | ~ v16_lattices(k1_lattice2(esk1_0))
    | ~ v15_lattices(k1_lattice2(esk1_0)) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).

cnf(c_0_92,plain,
    ( v3_struct_0(k1_lattice2(X1))
    | v16_lattices(X1)
    | ~ epred1_1(X1)
    | ~ l3_lattices(k1_lattice2(X1))
    | ~ v16_lattices(k1_lattice2(X1))
    | ~ v15_lattices(k1_lattice2(X1))
    | ~ v10_lattices(k1_lattice2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_93,plain,
    ( v15_lattices(esk1_0)
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ epred1_1(esk1_0)
    | ~ v16_lattices(k1_lattice2(esk1_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_91,c_0_78]),c_0_89])]),c_0_86]) ).

cnf(c_0_94,plain,
    ( v16_lattices(esk1_0)
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ epred1_1(esk1_0)
    | ~ v16_lattices(k1_lattice2(esk1_0))
    | ~ v15_lattices(k1_lattice2(esk1_0)) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_92,c_0_89]),c_0_90]) ).

cnf(c_0_95,negated_conjecture,
    ( v17_lattices(esk1_0)
    | v11_lattices(esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_38,c_0_59]),c_0_34]),c_0_25])]),c_0_23]) ).

cnf(c_0_96,plain,
    ( v15_lattices(esk1_0)
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ epred1_1(esk1_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_93,c_0_77]),c_0_89])]),c_0_86]) ).

cnf(c_0_97,plain,
    ( v16_lattices(esk1_0)
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ epred1_1(esk1_0)
    | ~ v16_lattices(k1_lattice2(esk1_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_94,c_0_78]),c_0_89])]),c_0_86]) ).

cnf(c_0_98,negated_conjecture,
    ( v17_lattices(esk1_0)
    | ~ v16_lattices(esk1_0)
    | ~ v15_lattices(esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_71,c_0_95]),c_0_25])]),c_0_23]) ).

cnf(c_0_99,plain,
    ( v15_lattices(esk1_0)
    | v3_struct_0(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_96,c_0_74]),c_0_34]),c_0_25])]),c_0_23]) ).

cnf(c_0_100,negated_conjecture,
    ( v17_lattices(esk1_0)
    | ~ v3_struct_0(k1_lattice2(esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_101,plain,
    ( v16_lattices(esk1_0)
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ epred1_1(esk1_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_97,c_0_77]),c_0_89])]),c_0_86]) ).

cnf(c_0_102,negated_conjecture,
    ( v17_lattices(esk1_0)
    | ~ v16_lattices(esk1_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).

cnf(c_0_103,plain,
    ( v16_lattices(esk1_0)
    | v3_struct_0(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_101,c_0_74]),c_0_34]),c_0_25])]),c_0_23]) ).

cnf(c_0_104,negated_conjecture,
    v17_lattices(esk1_0),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_102,c_0_103]),c_0_100]) ).

cnf(c_0_105,negated_conjecture,
    v3_struct_0(k1_lattice2(esk1_0)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_104])]),c_0_86]) ).

cnf(c_0_106,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_105]),c_0_25])]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LAT319+2 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jun 29 10:42:48 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.51/23.56  eprover: CPU time limit exceeded, terminating
% 0.51/23.57  eprover: CPU time limit exceeded, terminating
% 0.51/23.57  eprover: CPU time limit exceeded, terminating
% 0.51/23.57  eprover: CPU time limit exceeded, terminating
% 0.65/46.58  eprover: CPU time limit exceeded, terminating
% 0.65/46.59  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.65/46.59  
% 0.65/46.69  eprover: CPU time limit exceeded, terminating
% 0.79/69.60  eprover: CPU time limit exceeded, terminating
% 0.79/69.61  eprover: CPU time limit exceeded, terminating
% 0.79/69.61  eprover: CPU time limit exceeded, terminating
% 0.79/69.70  eprover: CPU time limit exceeded, terminating
% 0.93/92.62  eprover: CPU time limit exceeded, terminating
% 0.93/92.62  eprover: CPU time limit exceeded, terminating
% 0.93/92.64  eprover: CPU time limit exceeded, terminating
% 0.93/92.72  eprover: CPU time limit exceeded, terminating
% 1.06/115.64  eprover: CPU time limit exceeded, terminating
% 1.06/115.66  eprover: CPU time limit exceeded, terminating
% 1.06/115.66  eprover: CPU time limit exceeded, terminating
% 1.06/115.73  eprover: CPU time limit exceeded, terminating
% 1.19/138.68  eprover: CPU time limit exceeded, terminating
% 1.19/138.70  eprover: CPU time limit exceeded, terminating
% 1.19/138.74  eprover: CPU time limit exceeded, terminating
% 1.21/142.24  eprover: CPU time limit exceeded, terminating
% 1.32/161.69  eprover: CPU time limit exceeded, terminating
% 1.32/161.73  eprover: CPU time limit exceeded, terminating
% 1.32/161.76  eprover: CPU time limit exceeded, terminating
% 1.32/162.49  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.32/162.49  
% 1.32/162.49  # Failure: Resource limit exceeded (time)
% 1.32/162.49  # OLD status Res
% 1.32/162.49  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.32/162.49  # Preprocessing time       : 0.130 s
% 1.32/162.49  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 1.32/162.49  
% 1.32/162.49  # Failure: Resource limit exceeded (time)
% 1.32/162.49  # OLD status Res
% 1.32/162.49  # Preprocessing time       : 0.549 s
% 1.32/162.49  # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 1.32/162.49  
% 1.32/162.49  # Failure: Resource limit exceeded (time)
% 1.32/162.49  # OLD status Res
% 1.32/162.49  # Preprocessing time       : 0.553 s
% 1.32/162.49  # Running protocol protocol_eprover_761a0d093d9701c0eed884aebb46468e8d439c31 for 23 seconds:
% 1.32/162.49  
% 1.32/162.49  # Failure: Resource limit exceeded (time)
% 1.32/162.49  # OLD status Res
% 1.32/162.49  # SinE strategy is GSinE(CountFormulas,hypos,1.2,,,100,1.0)
% 1.32/162.49  # Preprocessing time       : 0.065 s
% 1.32/162.49  # Running protocol protocol_eprover_bb5e3cecdbc7660bd3a6f864cadb7769d8aea26a for 23 seconds:
% 1.32/162.49  
% 1.32/162.49  # Failure: Resource limit exceeded (time)
% 1.32/162.49  # OLD status Res
% 1.32/162.49  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,,500,1.0)
% 1.32/162.49  # Preprocessing time       : 0.086 s
% 1.32/162.49  # Running protocol protocol_eprover_e252f7803940d118fa0ef69fc2319cb55aee23b9 for 23 seconds:
% 1.32/162.49  
% 1.32/162.49  # Failure: Resource limit exceeded (time)
% 1.32/162.49  # OLD status Res
% 1.32/162.49  # SinE strategy is GSinE(CountFormulas,,1.4,,03,100,1.0)
% 1.32/162.49  # Preprocessing time       : 0.115 s
% 1.32/162.49  # Running protocol protocol_eprover_b1d72019af42f5b571a6c0b233a5b6d1de064075 for 23 seconds:
% 1.32/162.49  
% 1.32/162.49  # Failure: Resource limit exceeded (time)
% 1.32/162.49  # OLD status Res
% 1.32/162.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,500,1.0)
% 1.32/162.49  # Preprocessing time       : 0.064 s
% 1.32/162.49  # Running protocol protocol_eprover_e96ef4641ae500918cdd95fcfce21e29f2ac5eec for 23 seconds:
% 1.32/162.49  # SinE strategy is GSinE(CountFormulas,,6.0,,03,100,1.0)
% 1.32/162.49  # Preprocessing time       : 0.062 s
% 1.32/162.49  
% 1.32/162.49  # Proof found!
% 1.32/162.49  # SZS status Theorem
% 1.32/162.49  # SZS output start CNFRefutation
% See solution above
% 1.32/162.49  # Proof object total steps             : 107
% 1.32/162.49  # Proof object clause steps            : 84
% 1.32/162.49  # Proof object formula steps           : 23
% 1.32/162.49  # Proof object conjectures             : 52
% 1.32/162.49  # Proof object clause conjectures      : 49
% 1.32/162.49  # Proof object formula conjectures     : 3
% 1.32/162.49  # Proof object initial clauses used    : 24
% 1.32/162.49  # Proof object initial formulas used   : 9
% 1.32/162.49  # Proof object generating inferences   : 54
% 1.32/162.49  # Proof object simplifying inferences  : 115
% 1.32/162.49  # Training examples: 0 positive, 0 negative
% 1.32/162.49  # Parsed axioms                        : 2987
% 1.32/162.49  # Removed by relevancy pruning/SinE    : 2886
% 1.32/162.49  # Initial clauses                      : 269
% 1.32/162.49  # Removed in clause preprocessing      : 7
% 1.32/162.49  # Initial clauses in saturation        : 262
% 1.32/162.49  # Processed clauses                    : 1197
% 1.32/162.49  # ...of these trivial                  : 18
% 1.32/162.49  # ...subsumed                          : 445
% 1.32/162.49  # ...remaining for further processing  : 734
% 1.32/162.49  # Other redundant clauses eliminated   : 97
% 1.32/162.49  # Clauses deleted for lack of memory   : 0
% 1.32/162.49  # Backward-subsumed                    : 208
% 1.32/162.49  # Backward-rewritten                   : 33
% 1.32/162.49  # Generated clauses                    : 5957
% 1.32/162.49  # ...of the previous two non-trivial   : 5500
% 1.32/162.49  # Contextual simplify-reflections      : 347
% 1.32/162.49  # Paramodulations                      : 5814
% 1.32/162.49  # Factorizations                       : 22
% 1.32/162.49  # Equation resolutions                 : 126
% 1.32/162.49  # Current number of processed clauses  : 481
% 1.32/162.49  #    Positive orientable unit clauses  : 54
% 1.32/162.49  #    Positive unorientable unit clauses: 5
% 1.32/162.49  #    Negative unit clauses             : 31
% 1.32/162.49  #    Non-unit-clauses                  : 391
% 1.32/162.49  # Current number of unprocessed clauses: 4399
% 1.32/162.49  # ...number of literals in the above   : 19678
% 1.32/162.49  # Current number of archived formulas  : 0
% 1.32/162.49  # Current number of archived clauses   : 241
% 1.32/162.49  # Clause-clause subsumption calls (NU) : 92750
% 1.32/162.49  # Rec. Clause-clause subsumption calls : 20575
% 1.32/162.49  # Non-unit clause-clause subsumptions  : 801
% 1.32/162.49  # Unit Clause-clause subsumption calls : 6322
% 1.32/162.49  # Rewrite failures with RHS unbound    : 47
% 1.32/162.49  # BW rewrite match attempts            : 73
% 1.32/162.49  # BW rewrite match successes           : 29
% 1.32/162.49  # Condensation attempts                : 0
% 1.32/162.49  # Condensation successes               : 0
% 1.32/162.49  # Termbank termtop insertions          : 140245
% 1.32/162.49  
% 1.32/162.49  # -------------------------------------------------
% 1.32/162.49  # User time                : 0.150 s
% 1.32/162.49  # System time              : 0.007 s
% 1.32/162.49  # Total time               : 0.157 s
% 1.32/162.49  # Maximum resident set size: 13716 pages
% 1.32/165.26  eprover: CPU time limit exceeded, terminating
% 1.32/165.27  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.32/165.27  eprover: No such file or directory
% 1.32/165.27  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.32/165.27  eprover: No such file or directory
% 1.32/165.28  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.32/165.28  eprover: No such file or directory
% 1.32/165.28  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.32/165.28  eprover: No such file or directory
% 1.32/184.72  eprover: CPU time limit exceeded, terminating
% 1.32/184.73  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.32/184.73  eprover: No such file or directory
% 1.32/184.74  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.32/184.74  eprover: No such file or directory
% 1.32/184.75  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.32/184.75  eprover: No such file or directory
% 1.32/184.75  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.32/184.75  eprover: No such file or directory
% 1.32/184.76  eprover: CPU time limit exceeded, terminating
% 1.32/184.78  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.32/184.78  eprover: No such file or directory
% 1.32/184.78  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.32/184.78  eprover: No such file or directory
% 1.32/184.78  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.32/184.78  eprover: No such file or directory
%------------------------------------------------------------------------------