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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : LAT332+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:04:58 PM UTC 2026

% Result   : Theorem 99.91s 20.71s
% Output   : CNFRefutation 99.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   92 (  23 unt;   0 def)
%            Number of atoms       :  468 (  75 equ)
%            Maximal formula atoms :   45 (   5 avg)
%            Number of connectives :  586 ( 210   ~; 214   |; 121   &)
%                                         (   2 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   1 con; 0-3 aty)
%            Number of variables   :   96 (   0 sgn  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t72_filter_2,conjecture,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ( k23_filter_2(X1,k1_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
        & k23_filter_2(X1,k17_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t72_filter_2) ).

fof(d8_filter_2,axiom,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => k17_filter_2(X1) = u1_struct_0(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_2) ).

fof(redefinition_k1_filter_2,axiom,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => k1_filter_2(X1) = k1_filter_0(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_filter_2) ).

fof(d2_filter_0,axiom,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => k1_filter_0(X1) = u1_struct_0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',d2_filter_0) ).

fof(dt_k1_filter_2,axiom,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => m1_filter_2(k1_filter_2(X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_filter_2) ).

fof(t15_filter_0,axiom,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => m1_filter_0(u1_struct_0(X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t15_filter_0) ).

fof(d16_nat_lat,axiom,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( ( l3_lattices(X2)
            & v10_lattices(X2)
            & ~ v3_struct_0(X2) )
         => ( m2_nat_lat(X2,X1)
          <=> ( u1_lattices(X2) = k1_realset1(u1_lattices(X1),u1_struct_0(X2))
              & u2_lattices(X2) = k1_realset1(u2_lattices(X1),u1_struct_0(X2))
              & r1_tarski(u1_struct_0(X2),u1_struct_0(X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+297.ax',d16_nat_lat) ).

fof(dt_m2_nat_lat,axiom,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m2_nat_lat(X2,X1)
         => ( l3_lattices(X2)
            & v10_lattices(X2)
            & ~ v3_struct_0(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+297.ax',dt_m2_nat_lat) ).

fof(t75_nat_lat,axiom,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => m2_nat_lat(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+297.ax',t75_nat_lat) ).

fof(t70_filter_2,axiom,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m1_filter_2(X2,X1)
         => k8_filter_0(X1,X2) = k23_filter_2(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t70_filter_2) ).

fof(t63_filter_0,axiom,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m1_filter_0(X2,X1)
         => ( u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
            & u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
            & u1_struct_0(k8_filter_0(X1,X2)) = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t63_filter_0) ).

fof(t7_filter_2,axiom,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => k1_lattice2(k1_lattice2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_filter_2) ).

fof(fc2_filter_0,axiom,
    ! [X1,X2] :
      ( ( m1_filter_0(X2,X1)
        & l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ( v10_lattices(k8_filter_0(X1,X2))
        & v9_lattices(k8_filter_0(X1,X2))
        & v8_lattices(k8_filter_0(X1,X2))
        & v7_lattices(k8_filter_0(X1,X2))
        & v6_lattices(k8_filter_0(X1,X2))
        & v5_lattices(k8_filter_0(X1,X2))
        & v4_lattices(k8_filter_0(X1,X2))
        & v3_lattices(k8_filter_0(X1,X2))
        & ~ v3_struct_0(k8_filter_0(X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',fc2_filter_0) ).

fof(dt_k8_filter_0,axiom,
    ! [X1,X2] :
      ( ( m1_filter_0(X2,X1)
        & l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ( l3_lattices(k8_filter_0(X1,X2))
        & v10_lattices(k8_filter_0(X1,X2))
        & ~ v3_struct_0(k8_filter_0(X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',dt_k8_filter_0) ).

fof(abstractness_v3_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( v3_lattices(X1)
       => X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',abstractness_v3_lattices) ).

fof(c_0_15,negated_conjecture,
    ~ ! [X1] :
        ( ( l3_lattices(X1)
          & v10_lattices(X1)
          & ~ v3_struct_0(X1) )
       => ( k23_filter_2(X1,k1_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
          & k23_filter_2(X1,k17_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
    inference(assume_negation,[status(cth)],[t72_filter_2]) ).

fof(c_0_16,plain,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => k17_filter_2(X1) = u1_struct_0(X1) ),
    inference(fof_simplification,[status(thm)],[d8_filter_2]) ).

fof(c_0_17,negated_conjecture,
    ~ ! [X1] :
        ( ( l3_lattices(X1)
          & v10_lattices(X1)
          & ~ v3_struct_0(X1) )
       => ( k23_filter_2(X1,k1_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
          & k23_filter_2(X1,k17_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_18,plain,
    ! [X141] :
      ( k17_filter_2(X141) = u1_struct_0(X141)
      | ~ l3_lattices(X141)
      | ~ v10_lattices(X141)
      | v3_struct_0(X141) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).

fof(c_0_19,negated_conjecture,
    ( ( k23_filter_2(esk1_0,k1_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
      | k23_filter_2(esk1_0,k17_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) )
    & l3_lattices(esk1_0)
    & v10_lattices(esk1_0)
    & ~ v3_struct_0(esk1_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).

fof(c_0_20,plain,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => k1_filter_2(X1) = k1_filter_0(X1) ),
    inference(fof_simplification,[status(thm)],[redefinition_k1_filter_2]) ).

fof(c_0_21,plain,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => k1_filter_0(X1) = u1_struct_0(X1) ),
    inference(fof_simplification,[status(thm)],[d2_filter_0]) ).

cnf(c_0_22,plain,
    ( ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | k17_filter_2(X1) = u1_struct_0(X1)
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    v10_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_24,negated_conjecture,
    l3_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_26,plain,
    ! [X139] :
      ( k1_filter_2(X139) = k1_filter_0(X139)
      | ~ l3_lattices(X139)
      | ~ v10_lattices(X139)
      | v3_struct_0(X139) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).

fof(c_0_27,plain,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => m1_filter_2(k1_filter_2(X1),X1) ),
    inference(fof_simplification,[status(thm)],[dt_k1_filter_2]) ).

fof(c_0_28,plain,
    ! [X2342] :
      ( k1_filter_0(X2342) = u1_struct_0(X2342)
      | ~ l3_lattices(X2342)
      | ~ v10_lattices(X2342)
      | v3_struct_0(X2342) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).

fof(c_0_29,plain,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => m1_filter_0(u1_struct_0(X1),X1) ),
    inference(fof_simplification,[status(thm)],[t15_filter_0]) ).

fof(c_0_30,plain,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( ( l3_lattices(X2)
            & v10_lattices(X2)
            & ~ v3_struct_0(X2) )
         => ( m2_nat_lat(X2,X1)
          <=> ( u1_lattices(X2) = k1_realset1(u1_lattices(X1),u1_struct_0(X2))
              & u2_lattices(X2) = k1_realset1(u2_lattices(X1),u1_struct_0(X2))
              & r1_tarski(u1_struct_0(X2),u1_struct_0(X1)) ) ) ) ),
    inference(fof_simplification,[status(thm)],[d16_nat_lat]) ).

fof(c_0_31,plain,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m2_nat_lat(X2,X1)
         => ( l3_lattices(X2)
            & v10_lattices(X2)
            & ~ v3_struct_0(X2) ) ) ),
    inference(fof_simplification,[status(thm)],[dt_m2_nat_lat]) ).

fof(c_0_32,plain,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => m2_nat_lat(X1,X1) ),
    inference(fof_simplification,[status(thm)],[t75_nat_lat]) ).

cnf(c_0_33,negated_conjecture,
    ( k23_filter_2(esk1_0,k1_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
    | k23_filter_2(esk1_0,k17_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_34,negated_conjecture,
    k17_filter_2(esk1_0) = u1_struct_0(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_35,plain,
    ( ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | k1_filter_2(X1) = k1_filter_0(X1)
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_36,plain,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m1_filter_2(X2,X1)
         => k8_filter_0(X1,X2) = k23_filter_2(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[t70_filter_2]) ).

fof(c_0_37,plain,
    ! [X138] :
      ( m1_filter_2(k1_filter_2(X138),X138)
      | ~ l3_lattices(X138)
      | ~ v10_lattices(X138)
      | v3_struct_0(X138) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).

cnf(c_0_38,plain,
    ( ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | k1_filter_0(X1) = u1_struct_0(X1)
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_39,plain,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m1_filter_0(X2,X1)
         => ( u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
            & u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
            & u1_struct_0(k8_filter_0(X1,X2)) = X2 ) ) ),
    inference(fof_simplification,[status(thm)],[t63_filter_0]) ).

fof(c_0_40,plain,
    ! [X127] :
      ( m1_filter_0(u1_struct_0(X127),X127)
      | ~ l3_lattices(X127)
      | ~ v10_lattices(X127)
      | v3_struct_0(X127) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).

fof(c_0_41,plain,
    ! [X107,X108] :
      ( ( ~ l3_lattices(X107)
        | ~ v10_lattices(X107)
        | v3_struct_0(X107)
        | ~ l3_lattices(X108)
        | ~ v10_lattices(X108)
        | v3_struct_0(X108)
        | m2_nat_lat(X108,X107)
        | u1_lattices(X108) != k1_realset1(u1_lattices(X107),u1_struct_0(X108))
        | u2_lattices(X108) != k1_realset1(u2_lattices(X107),u1_struct_0(X108))
        | ~ r1_tarski(u1_struct_0(X108),u1_struct_0(X107)) )
      & ( ~ l3_lattices(X107)
        | ~ v10_lattices(X107)
        | v3_struct_0(X107)
        | ~ l3_lattices(X108)
        | ~ v10_lattices(X108)
        | v3_struct_0(X108)
        | ~ m2_nat_lat(X108,X107)
        | u1_lattices(X108) = k1_realset1(u1_lattices(X107),u1_struct_0(X108)) )
      & ( ~ l3_lattices(X107)
        | ~ v10_lattices(X107)
        | v3_struct_0(X107)
        | ~ l3_lattices(X108)
        | ~ v10_lattices(X108)
        | v3_struct_0(X108)
        | ~ m2_nat_lat(X108,X107)
        | u2_lattices(X108) = k1_realset1(u2_lattices(X107),u1_struct_0(X108)) )
      & ( ~ l3_lattices(X107)
        | ~ v10_lattices(X107)
        | v3_struct_0(X107)
        | ~ l3_lattices(X108)
        | ~ v10_lattices(X108)
        | v3_struct_0(X108)
        | ~ m2_nat_lat(X108,X107)
        | r1_tarski(u1_struct_0(X108),u1_struct_0(X107)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])]) ).

fof(c_0_42,plain,
    ! [X1541,X1542] :
      ( ( ~ l3_lattices(X1541)
        | ~ v10_lattices(X1541)
        | v3_struct_0(X1541)
        | ~ m2_nat_lat(X1542,X1541)
        | l3_lattices(X1542) )
      & ( ~ l3_lattices(X1541)
        | ~ v10_lattices(X1541)
        | v3_struct_0(X1541)
        | ~ m2_nat_lat(X1542,X1541)
        | v10_lattices(X1542) )
      & ( ~ l3_lattices(X1541)
        | ~ v10_lattices(X1541)
        | v3_struct_0(X1541)
        | ~ m2_nat_lat(X1542,X1541)
        | ~ v3_struct_0(X1542) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])])]) ).

fof(c_0_43,plain,
    ! [X1540] :
      ( m2_nat_lat(X1540,X1540)
      | ~ l3_lattices(X1540)
      | ~ v10_lattices(X1540)
      | v3_struct_0(X1540) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).

cnf(c_0_44,negated_conjecture,
    ( g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k23_filter_2(esk1_0,u1_struct_0(esk1_0))
    | k23_filter_2(esk1_0,k1_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) ),
    inference(rw,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_45,negated_conjecture,
    k1_filter_2(esk1_0) = k1_filter_0(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_23]),c_0_24])]),c_0_25]) ).

fof(c_0_46,plain,
    ! [X134,X135] :
      ( k8_filter_0(X134,X135) = k23_filter_2(X134,X135)
      | ~ m1_filter_2(X135,X134)
      | ~ l3_lattices(X134)
      | ~ v10_lattices(X134)
      | v3_struct_0(X134) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).

cnf(c_0_47,plain,
    ( ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | m1_filter_2(k1_filter_2(X1),X1)
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_48,negated_conjecture,
    k1_filter_0(esk1_0) = u1_struct_0(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_23]),c_0_24])]),c_0_25]) ).

fof(c_0_49,plain,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => k1_lattice2(k1_lattice2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
    inference(fof_simplification,[status(thm)],[t7_filter_2]) ).

fof(c_0_50,plain,
    ! [X90,X91] :
      ( ( ~ l3_lattices(X90)
        | ~ v10_lattices(X90)
        | v3_struct_0(X90)
        | ~ m1_filter_0(X91,X90)
        | u1_lattices(k8_filter_0(X90,X91)) = k1_realset1(u1_lattices(X90),X91) )
      & ( ~ l3_lattices(X90)
        | ~ v10_lattices(X90)
        | v3_struct_0(X90)
        | ~ m1_filter_0(X91,X90)
        | u2_lattices(k8_filter_0(X90,X91)) = k1_realset1(u2_lattices(X90),X91) )
      & ( ~ l3_lattices(X90)
        | ~ v10_lattices(X90)
        | v3_struct_0(X90)
        | ~ m1_filter_0(X91,X90)
        | u1_struct_0(k8_filter_0(X90,X91)) = X91 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])]) ).

cnf(c_0_51,plain,
    ( ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | m1_filter_0(u1_struct_0(X1),X1)
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_52,plain,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | u1_lattices(X1) = k1_realset1(u1_lattices(X2),u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_53,plain,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X1,X2)
    | v3_struct_0(X2)
    | l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_54,plain,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X1,X2)
    | v3_struct_0(X2)
    | v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_55,plain,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X1,X2)
    | ~ v3_struct_0(X1)
    | v3_struct_0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_56,plain,
    ( ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | m2_nat_lat(X1,X1)
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_57,plain,
    ! [X1,X2] :
      ( ( m1_filter_0(X2,X1)
        & l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ( v10_lattices(k8_filter_0(X1,X2))
        & v9_lattices(k8_filter_0(X1,X2))
        & v8_lattices(k8_filter_0(X1,X2))
        & v7_lattices(k8_filter_0(X1,X2))
        & v6_lattices(k8_filter_0(X1,X2))
        & v5_lattices(k8_filter_0(X1,X2))
        & v4_lattices(k8_filter_0(X1,X2))
        & v3_lattices(k8_filter_0(X1,X2))
        & ~ v3_struct_0(k8_filter_0(X1,X2)) ) ),
    inference(fof_simplification,[status(thm)],[fc2_filter_0]) ).

fof(c_0_58,plain,
    ! [X1,X2] :
      ( ( m1_filter_0(X2,X1)
        & l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ( l3_lattices(k8_filter_0(X1,X2))
        & v10_lattices(k8_filter_0(X1,X2))
        & ~ v3_struct_0(k8_filter_0(X1,X2)) ) ),
    inference(fof_simplification,[status(thm)],[dt_k8_filter_0]) ).

cnf(c_0_59,negated_conjecture,
    ( g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k23_filter_2(esk1_0,u1_struct_0(esk1_0))
    | k23_filter_2(esk1_0,k1_filter_0(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) ),
    inference(rw,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_60,plain,
    ( ~ m1_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | k8_filter_0(X1,X2) = k23_filter_2(X1,X2)
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_61,negated_conjecture,
    m1_filter_2(u1_struct_0(esk1_0),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_47,c_0_23]),c_0_45]),c_0_48]),c_0_24])]),c_0_25]) ).

fof(c_0_62,plain,
    ! [X40] :
      ( k1_lattice2(k1_lattice2(X40)) = g3_lattices(u1_struct_0(X40),u2_lattices(X40),u1_lattices(X40))
      | ~ l3_lattices(X40)
      | ~ v10_lattices(X40)
      | v3_struct_0(X40) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])]) ).

cnf(c_0_63,plain,
    ( ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1)
    | v3_struct_0(X1)
    | u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_64,negated_conjecture,
    m1_filter_0(u1_struct_0(esk1_0),esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_65,plain,
    ( ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X2,X1)
    | v3_struct_0(X1)
    | k1_realset1(u1_lattices(X1),u1_struct_0(X2)) = u1_lattices(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]) ).

cnf(c_0_66,negated_conjecture,
    m2_nat_lat(esk1_0,esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_67,plain,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | u2_lattices(X1) = k1_realset1(u2_lattices(X2),u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_68,plain,
    ! [X160,X161] :
      ( ( ~ m1_filter_0(X161,X160)
        | ~ l3_lattices(X160)
        | ~ v10_lattices(X160)
        | v3_struct_0(X160)
        | v10_lattices(k8_filter_0(X160,X161)) )
      & ( ~ m1_filter_0(X161,X160)
        | ~ l3_lattices(X160)
        | ~ v10_lattices(X160)
        | v3_struct_0(X160)
        | v9_lattices(k8_filter_0(X160,X161)) )
      & ( ~ m1_filter_0(X161,X160)
        | ~ l3_lattices(X160)
        | ~ v10_lattices(X160)
        | v3_struct_0(X160)
        | v8_lattices(k8_filter_0(X160,X161)) )
      & ( ~ m1_filter_0(X161,X160)
        | ~ l3_lattices(X160)
        | ~ v10_lattices(X160)
        | v3_struct_0(X160)
        | v7_lattices(k8_filter_0(X160,X161)) )
      & ( ~ m1_filter_0(X161,X160)
        | ~ l3_lattices(X160)
        | ~ v10_lattices(X160)
        | v3_struct_0(X160)
        | v6_lattices(k8_filter_0(X160,X161)) )
      & ( ~ m1_filter_0(X161,X160)
        | ~ l3_lattices(X160)
        | ~ v10_lattices(X160)
        | v3_struct_0(X160)
        | v5_lattices(k8_filter_0(X160,X161)) )
      & ( ~ m1_filter_0(X161,X160)
        | ~ l3_lattices(X160)
        | ~ v10_lattices(X160)
        | v3_struct_0(X160)
        | v4_lattices(k8_filter_0(X160,X161)) )
      & ( ~ m1_filter_0(X161,X160)
        | ~ l3_lattices(X160)
        | ~ v10_lattices(X160)
        | v3_struct_0(X160)
        | v3_lattices(k8_filter_0(X160,X161)) )
      & ( ~ m1_filter_0(X161,X160)
        | ~ l3_lattices(X160)
        | ~ v10_lattices(X160)
        | v3_struct_0(X160)
        | ~ v3_struct_0(k8_filter_0(X160,X161)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])]) ).

fof(c_0_69,plain,
    ! [X909,X910] :
      ( ( ~ m1_filter_0(X910,X909)
        | ~ l3_lattices(X909)
        | ~ v10_lattices(X909)
        | v3_struct_0(X909)
        | l3_lattices(k8_filter_0(X909,X910)) )
      & ( ~ m1_filter_0(X910,X909)
        | ~ l3_lattices(X909)
        | ~ v10_lattices(X909)
        | v3_struct_0(X909)
        | v10_lattices(k8_filter_0(X909,X910)) )
      & ( ~ m1_filter_0(X910,X909)
        | ~ l3_lattices(X909)
        | ~ v10_lattices(X909)
        | v3_struct_0(X909)
        | ~ v3_struct_0(k8_filter_0(X909,X910)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])]) ).

cnf(c_0_70,negated_conjecture,
    g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k23_filter_2(esk1_0,u1_struct_0(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_48])]) ).

cnf(c_0_71,negated_conjecture,
    k23_filter_2(esk1_0,u1_struct_0(esk1_0)) = k8_filter_0(esk1_0,u1_struct_0(esk1_0)),
    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_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_72,plain,
    ( ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | k1_lattice2(k1_lattice2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

fof(c_0_73,plain,
    ! [X18] :
      ( X18 = g3_lattices(u1_struct_0(X18),u2_lattices(X18),u1_lattices(X18))
      | ~ v3_lattices(X18)
      | ~ l3_lattices(X18) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])]) ).

cnf(c_0_74,negated_conjecture,
    u1_lattices(k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = k1_realset1(u1_lattices(esk1_0),u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_75,negated_conjecture,
    k1_realset1(u1_lattices(esk1_0),u1_struct_0(esk1_0)) = u1_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_65,c_0_66]),c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_76,plain,
    ( ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1)
    | v3_struct_0(X1)
    | u1_struct_0(k8_filter_0(X1,X2)) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_77,plain,
    ( ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1)
    | v3_struct_0(X1)
    | u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_78,plain,
    ( ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_nat_lat(X2,X1)
    | v3_struct_0(X1)
    | k1_realset1(u2_lattices(X1),u1_struct_0(X2)) = u2_lattices(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_67,c_0_53]),c_0_54]),c_0_55]) ).

cnf(c_0_79,plain,
    ( ~ m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | v3_struct_0(X1)
    | v3_lattices(k8_filter_0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_80,plain,
    ( ~ m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | v3_struct_0(X1)
    | l3_lattices(k8_filter_0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_81,negated_conjecture,
    g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k8_filter_0(esk1_0,u1_struct_0(esk1_0)),
    inference(rw,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_82,negated_conjecture,
    g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = k1_lattice2(k1_lattice2(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_83,plain,
    ( ~ v3_lattices(X1)
    | ~ l3_lattices(X1)
    | X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_84,negated_conjecture,
    u1_lattices(k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = u1_lattices(esk1_0),
    inference(rw,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_85,negated_conjecture,
    u1_struct_0(k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = u1_struct_0(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_64]),c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_86,negated_conjecture,
    u2_lattices(k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = k1_realset1(u2_lattices(esk1_0),u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_64]),c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_87,negated_conjecture,
    k1_realset1(u2_lattices(esk1_0),u1_struct_0(esk1_0)) = u2_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_78,c_0_66]),c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_88,negated_conjecture,
    v3_lattices(k8_filter_0(esk1_0,u1_struct_0(esk1_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_64]),c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_89,negated_conjecture,
    l3_lattices(k8_filter_0(esk1_0,u1_struct_0(esk1_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_64]),c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_90,negated_conjecture,
    k8_filter_0(esk1_0,u1_struct_0(esk1_0)) != k1_lattice2(k1_lattice2(esk1_0)),
    inference(rw,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_91,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_82]),c_0_88]),c_0_89])]),c_0_90]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : LAT332+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/5.46  % Computer : n008.cluster.edu
% 0.19/5.46  % Model    : x86_64 x86_64
% 0.19/5.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.46  % Memory   : 8046.5625MB
% 0.19/5.46  % OS       : Linux 6.8.0-71-generic
% 0.19/5.46  % CPULimit : 300
% 0.19/5.46  % WCLimit  : 300
% 0.19/5.46  % DateTime : Sun Sep 20 23:41:16 UTC 2026
% 0.19/5.47  % CPUTime  : 
% 0.19/5.47  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/5.54  Running first-order theorem proving
% 0.24/5.54  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 99.91/20.71  % Version: 3.5.1
% 99.91/20.71  % Preprocessing class: FMLMSMSLSSSNFFN.
% 99.91/20.71  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 99.91/20.71  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 99.91/20.71  % Starting new_bool_3 with 600s (2) cores
% 99.91/20.71  % Starting new_bool_1 with 600s (2) cores
% 99.91/20.71  % Starting sh5l with 300s (1) cores
% 99.91/20.71  % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3859845 completed with status 0
% 99.91/20.71  % Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 99.91/20.71  % Preprocessing class: FMLMSMSLSSSNFFN.
% 99.91/20.71  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 99.91/20.71  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 99.91/20.71  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 99.91/20.71  % SinE strategy is gf600_h_gu_R05_F100_L20000
% 99.91/20.71  % Search class: FGHSM-SMLM32-DFFFFFNN
% 99.91/20.71  % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 99.91/20.71  % Starting SubtermCWHack with 82s (1) cores
% 99.91/20.71  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores
% 99.91/20.71  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 99.91/20.71  % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3859855 completed with status 0
% 99.91/20.71  % Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 99.91/20.71  % Preprocessing class: FMLMSMSLSSSNFFN.
% 99.91/20.71  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 99.91/20.71  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 99.91/20.71  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 99.91/20.71  % SinE strategy is gf600_h_gu_R05_F100_L20000
% 99.91/20.71  % Search class: FGHSM-SMLM32-DFFFFFNN
% 99.91/20.71  % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 99.91/20.71  % Starting SubtermCWHack with 82s (1) cores
% 99.91/20.71  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores
% 99.91/20.71  % Preprocessing time       : 0.169 s
% 99.91/20.71  % Presaturation interreduction done
% 99.91/20.71  
% 99.91/20.71  % Proof found!
% 99.91/20.71  % SZS status Theorem
% 99.91/20.71  % SZS output start CNFRefutation
% See solution above
% 99.91/20.71  % Parsed axioms                        : 3011
% 99.91/20.71  % Removed by relevancy pruning/SinE    : 856
% 99.91/20.71  % Initial clauses                      : 4681
% 99.91/20.71  % Removed in clause preprocessing      : 143
% 99.91/20.71  % Initial clauses in saturation        : 4538
% 99.91/20.71  % Processed clauses                    : 15897
% 99.91/20.71  % ...of these trivial                  : 187
% 99.91/20.71  % ...subsumed                          : 4965
% 99.91/20.71  % ...remaining for further processing  : 10745
% 99.91/20.71  % Other redundant clauses eliminated   : 716
% 99.91/20.71  % Clauses deleted for lack of memory   : 0
% 99.91/20.71  % Backward-subsumed                    : 237
% 99.91/20.71  % Backward-rewritten                   : 232
% 99.91/20.71  % Generated clauses                    : 90236
% 99.91/20.71  % ...of the previous two non-redundant : 79739
% 99.91/20.71  % ...aggressively subsumed             : 0
% 99.91/20.71  % Contextual simplify-reflections      : 437
% 99.91/20.71  % Paramodulations                      : 89626
% 99.91/20.71  % Factorizations                       : 0
% 99.91/20.72  % NegExts                              : 0
% 99.91/20.72  % Equation resolutions                 : 727
% 99.91/20.72  % Disequality decompositions           : 0
% 99.91/20.72  % Total rewrite steps                  : 153650
% 99.91/20.72  % ...of those cached                   : 145544
% 99.91/20.72  % Propositional unsat checks           : 2
% 99.91/20.72  %    Propositional check models        : 1
% 99.91/20.72  %    Propositional check unsatisfiable : 0
% 99.91/20.72  %    Propositional clauses             : 0
% 99.91/20.72  %    Propositional clauses after purity: 0
% 99.91/20.72  %    Propositional unsat core size     : 0
% 99.91/20.72  %    Propositional preprocessing time  : 0.000
% 99.91/20.72  %    Propositional encoding time       : 0.496
% 99.91/20.72  %    Propositional solver time         : 0.239
% 99.91/20.72  %    Success case prop preproc time    : 0.000
% 99.91/20.72  %    Success case prop encoding time   : 0.000
% 99.91/20.72  %    Success case prop solver time     : 0.000
% 99.91/20.72  % Current number of processed clauses  : 5599
% 99.91/20.72  %    Positive orientable unit clauses  : 2187
% 99.91/20.72  %    Positive unorientable unit clauses: 57
% 99.91/20.72  %    Negative unit clauses             : 628
% 99.91/20.72  %    Non-unit-clauses                  : 2727
% 99.91/20.72  % Current number of unprocessed clauses: 72242
% 99.91/20.72  % ...number of literals in the above   : 158564
% 99.91/20.72  % Current number of archived formulas  : 0
% 99.91/20.72  % Current number of archived clauses   : 4605
% 99.91/20.72  % Clause-clause subsumption calls (NU) : 5809526
% 99.91/20.72  % Rec. Clause-clause subsumption calls : 730594
% 99.91/20.72  % Non-unit clause-clause subsumptions  : 2723
% 99.91/20.72  % Unit Clause-clause subsumption calls : 283897
% 99.91/20.72  % Rewrite failures with RHS unbound    : 0
% 99.91/20.72  % BW rewrite match attempts            : 15446
% 99.91/20.72  % BW rewrite match successes           : 8713
% 99.91/20.72  % Condensation attempts                : 0
% 99.91/20.72  % Condensation successes               : 0
% 99.91/20.72  % Termbank termtop insertions          : 5056873
% 99.91/20.72  % Search garbage collected termcells   : 95096
% 99.91/20.72  
% 99.91/20.72  % -------------------------------------------------
% 99.91/20.72  % User time                : 13.207 s
% 99.91/20.72  % System time              : 0.283 s
% 99.91/20.72  % Total time               : 13.490 s
% 99.91/20.72  % Maximum resident set size: 25400 pages
% 99.91/20.72  
% 99.91/20.72  % -------------------------------------------------
% 99.91/20.72  % User time                : 39.732 s
% 99.91/20.72  % System time              : 0.885 s
% 99.91/20.72  % Total time               : 40.618 s
% 99.91/20.72  % Maximum resident set size: 8192 pages
% 99.91/20.72  % E exiting
%------------------------------------------------------------------------------