TSTP Solution File: LAT346+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LAT346+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n012.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 04:47:32 EDT 2022

% Result   : Theorem 0.24s 1.41s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   48 (   5 unt;   0 def)
%            Number of atoms       :  311 (   0 equ)
%            Maximal formula atoms :   39 (   6 avg)
%            Number of connectives :  405 ( 142   ~; 172   |;  76   &)
%                                         (   1 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-2 aty)
%            Number of variables   :   45 (   0 sgn  27   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(d5_lattice4,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v10_lattices(X2)
            & l3_lattices(X2) )
         => ( r1_filter_1(X1,X2)
          <=> ? [X3] :
                ( m1_lattice4(X3,X1,X2)
                & v3_lattice4(X3,X1,X2) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d5_lattice4) ).

fof(t21_conlat_2,axiom,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1) )
     => v3_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t21_conlat_2) ).

fof(dt_k10_conlat_2,axiom,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1) )
     => m1_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k10_conlat_2) ).

fof(t22_conlat_2,conjecture,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1) )
     => r1_filter_1(k11_conlat_1(k7_conlat_2(X1)),k1_lattice2(k11_conlat_1(X1))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t22_conlat_2) ).

fof(symmetry_r1_filter_1,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v3_struct_0(X2)
        & v10_lattices(X2)
        & l3_lattices(X2) )
     => ( r1_filter_1(X1,X2)
       => r1_filter_1(X2,X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',symmetry_r1_filter_1) ).

fof(fc1_conlat_2,axiom,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1) )
     => ( ~ v3_struct_0(k11_conlat_1(X1))
        & v3_lattices(k11_conlat_1(X1))
        & v4_lattices(k11_conlat_1(X1))
        & v5_lattices(k11_conlat_1(X1))
        & v6_lattices(k11_conlat_1(X1))
        & v7_lattices(k11_conlat_1(X1))
        & v8_lattices(k11_conlat_1(X1))
        & v9_lattices(k11_conlat_1(X1))
        & v10_lattices(k11_conlat_1(X1))
        & v13_lattices(k11_conlat_1(X1))
        & v14_lattices(k11_conlat_1(X1))
        & v15_lattices(k11_conlat_1(X1))
        & v4_lattice3(k11_conlat_1(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_conlat_2) ).

fof(dt_k11_conlat_1,axiom,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1) )
     => ( ~ v3_struct_0(k11_conlat_1(X1))
        & v3_lattices(k11_conlat_1(X1))
        & l3_lattices(k11_conlat_1(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k11_conlat_1) ).

fof(dt_k7_conlat_2,axiom,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1) )
     => ( ~ v3_conlat_1(k7_conlat_2(X1))
        & v4_conlat_1(k7_conlat_2(X1))
        & l2_conlat_1(k7_conlat_2(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k7_conlat_2) ).

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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc6_lattice2) ).

fof(dt_k1_lattice2,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( v3_lattices(k1_lattice2(X1))
        & l3_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k1_lattice2) ).

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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_lattice2) ).

fof(c_0_11,plain,
    ! [X4,X5,X7] :
      ( ( m1_lattice4(esk2_2(X4,X5),X4,X5)
        | ~ r1_filter_1(X4,X5)
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4) )
      & ( v3_lattice4(esk2_2(X4,X5),X4,X5)
        | ~ r1_filter_1(X4,X5)
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4) )
      & ( ~ m1_lattice4(X7,X4,X5)
        | ~ v3_lattice4(X7,X4,X5)
        | r1_filter_1(X4,X5)
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(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)],[d5_lattice4])])])])])])])]) ).

fof(c_0_12,plain,
    ! [X2] :
      ( v3_conlat_1(X2)
      | ~ l2_conlat_1(X2)
      | v3_lattice4(k10_conlat_2(X2),k1_lattice2(k11_conlat_1(X2)),k11_conlat_1(k7_conlat_2(X2))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t21_conlat_2])])]) ).

fof(c_0_13,plain,
    ! [X2] :
      ( v3_conlat_1(X2)
      | ~ l2_conlat_1(X2)
      | m1_lattice4(k10_conlat_2(X2),k1_lattice2(k11_conlat_1(X2)),k11_conlat_1(k7_conlat_2(X2))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k10_conlat_2])])]) ).

fof(c_0_14,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_conlat_1(X1)
          & l2_conlat_1(X1) )
       => r1_filter_1(k11_conlat_1(k7_conlat_2(X1)),k1_lattice2(k11_conlat_1(X1))) ),
    inference(assume_negation,[status(cth)],[t22_conlat_2]) ).

fof(c_0_15,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v10_lattices(X3)
      | ~ l3_lattices(X3)
      | v3_struct_0(X4)
      | ~ v10_lattices(X4)
      | ~ l3_lattices(X4)
      | ~ r1_filter_1(X3,X4)
      | r1_filter_1(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[symmetry_r1_filter_1])])]) ).

cnf(c_0_16,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_filter_1(X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ v3_lattice4(X3,X1,X2)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    ( v3_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    ( m1_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_19,negated_conjecture,
    ( ~ v3_conlat_1(esk1_0)
    & l2_conlat_1(esk1_0)
    & ~ r1_filter_1(k11_conlat_1(k7_conlat_2(esk1_0)),k1_lattice2(k11_conlat_1(esk1_0))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_14])])])]) ).

cnf(c_0_20,plain,
    ( r1_filter_1(X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ r1_filter_1(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    ( v3_struct_0(k11_conlat_1(k7_conlat_2(X1)))
    | v3_struct_0(k1_lattice2(k11_conlat_1(X1)))
    | r1_filter_1(k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
    | v3_conlat_1(X1)
    | ~ v10_lattices(k11_conlat_1(k7_conlat_2(X1)))
    | ~ v10_lattices(k1_lattice2(k11_conlat_1(X1)))
    | ~ l3_lattices(k11_conlat_1(k7_conlat_2(X1)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    ~ r1_filter_1(k11_conlat_1(k7_conlat_2(esk1_0)),k1_lattice2(k11_conlat_1(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_23,plain,
    ( v3_struct_0(k1_lattice2(k11_conlat_1(X1)))
    | v3_struct_0(k11_conlat_1(k7_conlat_2(X1)))
    | r1_filter_1(k11_conlat_1(k7_conlat_2(X1)),k1_lattice2(k11_conlat_1(X1)))
    | v3_conlat_1(X1)
    | ~ v10_lattices(k1_lattice2(k11_conlat_1(X1)))
    | ~ v10_lattices(k11_conlat_1(k7_conlat_2(X1)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(X1)))
    | ~ l3_lattices(k11_conlat_1(k7_conlat_2(X1)))
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_24,negated_conjecture,
    l2_conlat_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,negated_conjecture,
    ~ v3_conlat_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_26,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(k11_conlat_1(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( v3_lattices(k11_conlat_1(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( v4_lattices(k11_conlat_1(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( v5_lattices(k11_conlat_1(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( v6_lattices(k11_conlat_1(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( v7_lattices(k11_conlat_1(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( v8_lattices(k11_conlat_1(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( v9_lattices(k11_conlat_1(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( v10_lattices(k11_conlat_1(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( v13_lattices(k11_conlat_1(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( v14_lattices(k11_conlat_1(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( v15_lattices(k11_conlat_1(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( v4_lattice3(k11_conlat_1(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_conlat_2])])])]) ).

fof(c_0_27,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(k11_conlat_1(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( v3_lattices(k11_conlat_1(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( l3_lattices(k11_conlat_1(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k11_conlat_1])])])]) ).

fof(c_0_28,plain,
    ! [X2] :
      ( ( ~ v3_conlat_1(k7_conlat_2(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( v4_conlat_1(k7_conlat_2(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( l2_conlat_1(k7_conlat_2(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k7_conlat_2])])])]) ).

cnf(c_0_29,negated_conjecture,
    ( v3_struct_0(k11_conlat_1(k7_conlat_2(esk1_0)))
    | v3_struct_0(k1_lattice2(k11_conlat_1(esk1_0)))
    | ~ v10_lattices(k1_lattice2(k11_conlat_1(esk1_0)))
    | ~ v10_lattices(k11_conlat_1(k7_conlat_2(esk1_0)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(esk1_0)))
    | ~ l3_lattices(k11_conlat_1(k7_conlat_2(esk1_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_30,plain,
    ( v3_conlat_1(X1)
    | v10_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_31,plain,
    ( v3_conlat_1(X1)
    | l3_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_32,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_struct_0(k11_conlat_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_33,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_conlat_1(k7_conlat_2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    ( v3_struct_0(k1_lattice2(k11_conlat_1(esk1_0)))
    | v3_conlat_1(k7_conlat_2(esk1_0))
    | ~ v10_lattices(k1_lattice2(k11_conlat_1(esk1_0)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(esk1_0)))
    | ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32]) ).

cnf(c_0_35,negated_conjecture,
    ( v3_struct_0(k1_lattice2(k11_conlat_1(esk1_0)))
    | ~ v10_lattices(k1_lattice2(k11_conlat_1(esk1_0)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(esk1_0)))
    | ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_24])]),c_0_25]) ).

cnf(c_0_36,plain,
    ( v3_conlat_1(X1)
    | l2_conlat_1(k7_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_37,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_38,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_39,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_40,negated_conjecture,
    ( v3_struct_0(k1_lattice2(k11_conlat_1(esk1_0)))
    | ~ v10_lattices(k1_lattice2(k11_conlat_1(esk1_0)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(esk1_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_24])]),c_0_25]) ).

cnf(c_0_41,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_42,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_43,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    ( v3_struct_0(k11_conlat_1(esk1_0))
    | ~ v10_lattices(k11_conlat_1(esk1_0))
    | ~ l3_lattices(k11_conlat_1(esk1_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]) ).

cnf(c_0_45,negated_conjecture,
    ( v3_struct_0(k11_conlat_1(esk1_0))
    | ~ l3_lattices(k11_conlat_1(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_30]),c_0_24])]),c_0_25]) ).

cnf(c_0_46,negated_conjecture,
    v3_struct_0(k11_conlat_1(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_31]),c_0_24])]),c_0_25]) ).

cnf(c_0_47,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_46]),c_0_24])]),c_0_25]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LAT346+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n012.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jun 30 10:23:33 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.24/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41  # Preprocessing time       : 0.019 s
% 0.24/1.41  
% 0.24/1.41  # Failure: Out of unprocessed clauses!
% 0.24/1.41  # OLD status GaveUp
% 0.24/1.41  # Parsed axioms                        : 102
% 0.24/1.41  # Removed by relevancy pruning/SinE    : 71
% 0.24/1.41  # Initial clauses                      : 82
% 0.24/1.41  # Removed in clause preprocessing      : 2
% 0.24/1.41  # Initial clauses in saturation        : 80
% 0.24/1.41  # Processed clauses                    : 294
% 0.24/1.41  # ...of these trivial                  : 2
% 0.24/1.41  # ...subsumed                          : 150
% 0.24/1.41  # ...remaining for further processing  : 142
% 0.24/1.41  # Other redundant clauses eliminated   : 0
% 0.24/1.41  # Clauses deleted for lack of memory   : 0
% 0.24/1.41  # Backward-subsumed                    : 2
% 0.24/1.41  # Backward-rewritten                   : 2
% 0.24/1.41  # Generated clauses                    : 223
% 0.24/1.41  # ...of the previous two non-trivial   : 216
% 0.24/1.41  # Contextual simplify-reflections      : 191
% 0.24/1.41  # Paramodulations                      : 216
% 0.24/1.41  # Factorizations                       : 0
% 0.24/1.41  # Equation resolutions                 : 7
% 0.24/1.41  # Current number of processed clauses  : 138
% 0.24/1.41  #    Positive orientable unit clauses  : 25
% 0.24/1.41  #    Positive unorientable unit clauses: 0
% 0.24/1.41  #    Negative unit clauses             : 5
% 0.24/1.41  #    Non-unit-clauses                  : 108
% 0.24/1.41  # Current number of unprocessed clauses: 0
% 0.24/1.41  # ...number of literals in the above   : 0
% 0.24/1.41  # Current number of archived formulas  : 0
% 0.24/1.41  # Current number of archived clauses   : 4
% 0.24/1.41  # Clause-clause subsumption calls (NU) : 10399
% 0.24/1.41  # Rec. Clause-clause subsumption calls : 3490
% 0.24/1.41  # Non-unit clause-clause subsumptions  : 343
% 0.24/1.41  # Unit Clause-clause subsumption calls : 100
% 0.24/1.41  # Rewrite failures with RHS unbound    : 0
% 0.24/1.41  # BW rewrite match attempts            : 3
% 0.24/1.41  # BW rewrite match successes           : 2
% 0.24/1.41  # Condensation attempts                : 0
% 0.24/1.41  # Condensation successes               : 0
% 0.24/1.41  # Termbank termtop insertions          : 9845
% 0.24/1.41  
% 0.24/1.41  # -------------------------------------------------
% 0.24/1.41  # User time                : 0.035 s
% 0.24/1.41  # System time              : 0.004 s
% 0.24/1.41  # Total time               : 0.039 s
% 0.24/1.41  # Maximum resident set size: 3484 pages
% 0.24/1.41  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.24/1.41  # Preprocessing time       : 0.023 s
% 0.24/1.41  
% 0.24/1.41  # Proof found!
% 0.24/1.41  # SZS status Theorem
% 0.24/1.41  # SZS output start CNFRefutation
% See solution above
% 0.24/1.41  # Proof object total steps             : 48
% 0.24/1.41  # Proof object clause steps            : 25
% 0.24/1.41  # Proof object formula steps           : 23
% 0.24/1.41  # Proof object conjectures             : 14
% 0.24/1.41  # Proof object clause conjectures      : 11
% 0.24/1.41  # Proof object formula conjectures     : 3
% 0.24/1.41  # Proof object initial clauses used    : 15
% 0.24/1.41  # Proof object initial formulas used   : 11
% 0.24/1.41  # Proof object generating inferences   : 10
% 0.24/1.41  # Proof object simplifying inferences  : 23
% 0.24/1.41  # Training examples: 0 positive, 0 negative
% 0.24/1.41  # Parsed axioms                        : 102
% 0.24/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.24/1.41  # Initial clauses                      : 244
% 0.24/1.41  # Removed in clause preprocessing      : 19
% 0.24/1.41  # Initial clauses in saturation        : 225
% 0.24/1.41  # Processed clauses                    : 565
% 0.24/1.41  # ...of these trivial                  : 0
% 0.24/1.41  # ...subsumed                          : 184
% 0.24/1.41  # ...remaining for further processing  : 381
% 0.24/1.41  # Other redundant clauses eliminated   : 4
% 0.24/1.41  # Clauses deleted for lack of memory   : 0
% 0.24/1.41  # Backward-subsumed                    : 19
% 0.24/1.41  # Backward-rewritten                   : 14
% 0.24/1.41  # Generated clauses                    : 729
% 0.24/1.41  # ...of the previous two non-trivial   : 636
% 0.24/1.41  # Contextual simplify-reflections      : 170
% 0.24/1.41  # Paramodulations                      : 716
% 0.24/1.41  # Factorizations                       : 0
% 0.24/1.41  # Equation resolutions                 : 13
% 0.24/1.41  # Current number of processed clauses  : 348
% 0.24/1.41  #    Positive orientable unit clauses  : 71
% 0.24/1.41  #    Positive unorientable unit clauses: 0
% 0.24/1.41  #    Negative unit clauses             : 13
% 0.24/1.41  #    Non-unit-clauses                  : 264
% 0.24/1.41  # Current number of unprocessed clauses: 251
% 0.24/1.41  # ...number of literals in the above   : 880
% 0.24/1.41  # Current number of archived formulas  : 0
% 0.24/1.41  # Current number of archived clauses   : 33
% 0.24/1.41  # Clause-clause subsumption calls (NU) : 36238
% 0.24/1.41  # Rec. Clause-clause subsumption calls : 16013
% 0.24/1.41  # Non-unit clause-clause subsumptions  : 372
% 0.24/1.41  # Unit Clause-clause subsumption calls : 1611
% 0.24/1.41  # Rewrite failures with RHS unbound    : 0
% 0.24/1.41  # BW rewrite match attempts            : 115
% 0.24/1.41  # BW rewrite match successes           : 9
% 0.24/1.41  # Condensation attempts                : 0
% 0.24/1.41  # Condensation successes               : 0
% 0.24/1.41  # Termbank termtop insertions          : 23947
% 0.24/1.41  
% 0.24/1.41  # -------------------------------------------------
% 0.24/1.41  # User time                : 0.059 s
% 0.24/1.41  # System time              : 0.007 s
% 0.24/1.41  # Total time               : 0.065 s
% 0.24/1.41  # Maximum resident set size: 4636 pages
% 0.24/23.41  eprover: CPU time limit exceeded, terminating
% 0.24/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.41  eprover: No such file or directory
% 0.24/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------