TSTP Solution File: LAT302+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT302+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 04:29:11 EDT 2022

% Result   : Theorem 36.87s 6.94s
% Output   : CNFRefutation 36.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   65 (  13 unt;   0 def)
%            Number of atoms       :  282 (  12 equ)
%            Maximal formula atoms :   36 (   4 avg)
%            Number of connectives :  349 ( 132   ~; 138   |;  57   &)
%                                         (   4 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-2 aty)
%            Number of variables   :   52 (   0 sgn  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fc1_struct_0,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+200.ax',fc1_struct_0) ).

fof(dt_l1_lattices,axiom,
    ! [X1] :
      ( l1_lattices(X1)
     => l1_struct_0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',dt_l1_lattices) ).

fof(t26_filter_2,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( v13_lattices(X1)
       => m2_filter_2(k6_domain_1(u1_struct_0(X1),k5_lattices(X1)),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_filter_2) ).

fof(dt_l3_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( l1_lattices(X1)
        & l2_lattices(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',dt_l3_lattices) ).

fof(t18_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l3_lattices(X1) )
     => ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
        & u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
        & u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t18_lattice2) ).

fof(d1_struct_0,axiom,
    ! [X1] :
      ( l1_struct_0(X1)
     => ( v3_struct_0(X1)
      <=> v1_xboole_0(u1_struct_0(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+200.ax',d1_struct_0) ).

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(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(t13_filter_0,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & v14_lattices(X1)
          & l3_lattices(X1) )
       => m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t13_filter_0) ).

fof(t63_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( v13_lattices(X1)
      <=> v14_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t63_lattice2) ).

fof(t78_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & v13_lattices(X1)
        & l3_lattices(X1) )
     => k5_lattices(X1) = k6_lattices(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t78_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(redefinition_m1_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_filter_2(X2,X1)
        <=> m1_filter_0(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).

fof(t21_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m2_filter_2(X2,X1)
        <=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_filter_2) ).

fof(c_0_14,plain,
    ! [X4838] :
      ( v3_struct_0(X4838)
      | ~ l1_struct_0(X4838)
      | ~ v1_xboole_0(u1_struct_0(X4838)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_struct_0])])]) ).

fof(c_0_15,plain,
    ! [X1603] :
      ( ~ l1_lattices(X1603)
      | l1_struct_0(X1603) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])]) ).

fof(c_0_16,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & l3_lattices(X1) )
       => ( v13_lattices(X1)
         => m2_filter_2(k6_domain_1(u1_struct_0(X1),k5_lattices(X1)),X1) ) ),
    inference(assume_negation,[status(cth)],[t26_filter_2]) ).

cnf(c_0_17,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    ( l1_struct_0(X1)
    | ~ l1_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_19,plain,
    ! [X1605] :
      ( ( l1_lattices(X1605)
        | ~ l3_lattices(X1605) )
      & ( l2_lattices(X1605)
        | ~ l3_lattices(X1605) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).

fof(c_0_20,plain,
    ! [X937] :
      ( ( u1_struct_0(X937) = u1_struct_0(k1_lattice2(X937))
        | v3_struct_0(X937)
        | ~ l3_lattices(X937) )
      & ( u2_lattices(X937) = u1_lattices(k1_lattice2(X937))
        | v3_struct_0(X937)
        | ~ l3_lattices(X937) )
      & ( u1_lattices(X937) = u2_lattices(k1_lattice2(X937))
        | v3_struct_0(X937)
        | ~ l3_lattices(X937) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t18_lattice2])])])]) ).

fof(c_0_21,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v10_lattices(esk1_0)
    & l3_lattices(esk1_0)
    & v13_lattices(esk1_0)
    & ~ m2_filter_2(k6_domain_1(u1_struct_0(esk1_0),k5_lattices(esk1_0)),esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_16])])])]) ).

cnf(c_0_22,plain,
    ( v3_struct_0(X1)
    | ~ l1_lattices(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_24,plain,
    ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    l3_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_27,plain,
    ! [X4841] :
      ( ( ~ v3_struct_0(X4841)
        | v1_xboole_0(u1_struct_0(X4841))
        | ~ l1_struct_0(X4841) )
      & ( ~ v1_xboole_0(u1_struct_0(X4841))
        | v3_struct_0(X4841)
        | ~ l1_struct_0(X4841) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_struct_0])])]) ).

cnf(c_0_28,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,negated_conjecture,
    u1_struct_0(k1_lattice2(esk1_0)) = u1_struct_0(esk1_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

fof(c_0_30,plain,
    ! [X995] :
      ( ( v3_lattices(k1_lattice2(X995))
        | ~ l3_lattices(X995) )
      & ( l3_lattices(k1_lattice2(X995))
        | ~ l3_lattices(X995) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).

cnf(c_0_31,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_32,plain,
    ! [X976] :
      ( ( ~ v3_struct_0(k1_lattice2(X976))
        | v3_struct_0(X976)
        | ~ l3_lattices(X976) )
      & ( v3_lattices(k1_lattice2(X976))
        | v3_struct_0(X976)
        | ~ l3_lattices(X976) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_lattice2])])])]) ).

cnf(c_0_33,negated_conjecture,
    ( v3_struct_0(k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_34,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_35,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ l1_lattices(X1)
    | ~ v3_struct_0(X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_18]) ).

cnf(c_0_36,plain,
    ( v3_struct_0(X1)
    | ~ v3_struct_0(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    ( v3_struct_0(k1_lattice2(esk1_0))
    | ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_25])]) ).

fof(c_0_38,plain,
    ! [X49] :
      ( v3_struct_0(X49)
      | ~ v10_lattices(X49)
      | ~ l3_lattices(X49)
      | v3_struct_0(X49)
      | ~ v10_lattices(X49)
      | ~ v14_lattices(X49)
      | ~ l3_lattices(X49)
      | m1_filter_0(k6_domain_1(u1_struct_0(X49),k6_lattices(X49)),X49) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t13_filter_0])])]) ).

fof(c_0_39,plain,
    ! [X129] :
      ( ( ~ v13_lattices(X129)
        | v14_lattices(k1_lattice2(X129))
        | v3_struct_0(X129)
        | ~ v10_lattices(X129)
        | ~ l3_lattices(X129) )
      & ( ~ v14_lattices(k1_lattice2(X129))
        | v13_lattices(X129)
        | v3_struct_0(X129)
        | ~ v10_lattices(X129)
        | ~ l3_lattices(X129) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t63_lattice2])])])]) ).

fof(c_0_40,plain,
    ! [X96] :
      ( v3_struct_0(X96)
      | ~ v10_lattices(X96)
      | ~ v13_lattices(X96)
      | ~ l3_lattices(X96)
      | k5_lattices(X96) = k6_lattices(k1_lattice2(X96)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t78_lattice2])])]) ).

fof(c_0_41,plain,
    ! [X977] :
      ( ( ~ v3_struct_0(k1_lattice2(X977))
        | v3_struct_0(X977)
        | ~ v10_lattices(X977)
        | ~ l3_lattices(X977) )
      & ( v3_lattices(k1_lattice2(X977))
        | v3_struct_0(X977)
        | ~ v10_lattices(X977)
        | ~ l3_lattices(X977) )
      & ( v4_lattices(k1_lattice2(X977))
        | v3_struct_0(X977)
        | ~ v10_lattices(X977)
        | ~ l3_lattices(X977) )
      & ( v5_lattices(k1_lattice2(X977))
        | v3_struct_0(X977)
        | ~ v10_lattices(X977)
        | ~ l3_lattices(X977) )
      & ( v6_lattices(k1_lattice2(X977))
        | v3_struct_0(X977)
        | ~ v10_lattices(X977)
        | ~ l3_lattices(X977) )
      & ( v7_lattices(k1_lattice2(X977))
        | v3_struct_0(X977)
        | ~ v10_lattices(X977)
        | ~ l3_lattices(X977) )
      & ( v8_lattices(k1_lattice2(X977))
        | v3_struct_0(X977)
        | ~ v10_lattices(X977)
        | ~ l3_lattices(X977) )
      & ( v9_lattices(k1_lattice2(X977))
        | v3_struct_0(X977)
        | ~ v10_lattices(X977)
        | ~ l3_lattices(X977) )
      & ( v10_lattices(k1_lattice2(X977))
        | v3_struct_0(X977)
        | ~ v10_lattices(X977)
        | ~ l3_lattices(X977) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc6_lattice2])])])]) ).

cnf(c_0_42,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_23]) ).

cnf(c_0_43,negated_conjecture,
    ~ v1_xboole_0(u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_25])]),c_0_26]) ).

cnf(c_0_44,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X1)
    | m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_45,plain,
    ( v14_lattices(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ v13_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_46,negated_conjecture,
    v13_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_47,negated_conjecture,
    v10_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_48,plain,
    ( v3_struct_0(X1)
    | k5_lattices(X1) = k6_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_49,plain,
    ( v10_lattices(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v3_struct_0(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_29]),c_0_43]) ).

fof(c_0_51,plain,
    ! [X962,X963] :
      ( ( ~ m1_filter_2(X963,X962)
        | m1_filter_0(X963,X962)
        | v3_struct_0(X962)
        | ~ v10_lattices(X962)
        | ~ l3_lattices(X962) )
      & ( ~ m1_filter_0(X963,X962)
        | m1_filter_2(X963,X962)
        | v3_struct_0(X962)
        | ~ v10_lattices(X962)
        | ~ l3_lattices(X962) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2])])])])]) ).

cnf(c_0_52,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(X1) ),
    inference(cn,[status(thm)],[c_0_44]) ).

cnf(c_0_53,negated_conjecture,
    v14_lattices(k1_lattice2(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_25])]),c_0_26]) ).

cnf(c_0_54,negated_conjecture,
    k6_lattices(k1_lattice2(esk1_0)) = k5_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_46]),c_0_47]),c_0_25])]),c_0_26]) ).

cnf(c_0_55,negated_conjecture,
    v10_lattices(k1_lattice2(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_47]),c_0_25])]),c_0_26]) ).

cnf(c_0_56,negated_conjecture,
    ~ v3_struct_0(k1_lattice2(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_34]),c_0_25])]) ).

fof(c_0_57,plain,
    ! [X32,X33] :
      ( ( ~ m2_filter_2(X33,X32)
        | m1_filter_2(X33,k1_lattice2(X32))
        | v3_struct_0(X32)
        | ~ v10_lattices(X32)
        | ~ l3_lattices(X32) )
      & ( ~ m1_filter_2(X33,k1_lattice2(X32))
        | m2_filter_2(X33,X32)
        | v3_struct_0(X32)
        | ~ v10_lattices(X32)
        | ~ l3_lattices(X32) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t21_filter_2])])])])]) ).

cnf(c_0_58,plain,
    ( m1_filter_2(X1,X2)
    | v3_struct_0(X2)
    | ~ m1_filter_0(X1,X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_59,negated_conjecture,
    ( m1_filter_0(k6_domain_1(u1_struct_0(esk1_0),k5_lattices(esk1_0)),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)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_29]),c_0_54]),c_0_55])]),c_0_56]) ).

cnf(c_0_60,plain,
    ( m2_filter_2(X1,X2)
    | v3_struct_0(X2)
    | ~ m1_filter_2(X1,k1_lattice2(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_61,negated_conjecture,
    ( m1_filter_2(k6_domain_1(u1_struct_0(esk1_0),k5_lattices(esk1_0)),k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_55])]),c_0_56]) ).

cnf(c_0_62,negated_conjecture,
    ~ m2_filter_2(k6_domain_1(u1_struct_0(esk1_0),k5_lattices(esk1_0)),esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_63,negated_conjecture,
    ~ l3_lattices(k1_lattice2(esk1_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_47]),c_0_25])]),c_0_62]),c_0_26]) ).

cnf(c_0_64,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_34]),c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT302+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun 28 22:53:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected SinE mode:
% 0.39/0.56  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.56  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.39/0.56  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.39/0.56  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 36.87/6.94  # ENIGMATIC: Solved by autoschedule:
% 36.87/6.94  # SinE strategy is gf600_h_gu_R05_F100_L20000
% 36.87/6.94  # Trying AutoSched0 for 150 seconds
% 36.87/6.94  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 36.87/6.94  # and selection function SelectComplexExceptUniqMaxHorn.
% 36.87/6.94  #
% 36.87/6.94  # Preprocessing time       : 0.392 s
% 36.87/6.94  # Presaturation interreduction done
% 36.87/6.94  
% 36.87/6.94  # Proof found!
% 36.87/6.94  # SZS status Theorem
% 36.87/6.94  # SZS output start CNFRefutation
% See solution above
% 36.87/6.94  # Training examples: 0 positive, 0 negative
% 36.87/6.94  
% 36.87/6.94  # -------------------------------------------------
% 36.87/6.94  # User time                : 3.445 s
% 36.87/6.94  # System time              : 0.069 s
% 36.87/6.94  # Total time               : 3.514 s
% 36.87/6.94  # Maximum resident set size: 7292 pages
% 36.87/6.94  
%------------------------------------------------------------------------------