TSTP Solution File: SEU407+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU407+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 09:19:45 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   72 (  27 unt;   0 def)
%            Number of atoms       :  204 (  39 equ)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives :  227 (  95   ~;  89   |;  24   &)
%                                         (   5 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   3 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-6 aty)
%            Number of variables   :  108 (  13 sgn  53   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(d2_xboole_0,axiom,
    ! [X1,X2,X3] :
      ( X3 = k2_xboole_0(X1,X2)
    <=> ! [X4] :
          ( r2_hidden(X4,X3)
        <=> ( r2_hidden(X4,X1)
            | r2_hidden(X4,X2) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d2_xboole_0) ).

fof(t39_xboole_1,axiom,
    ! [X1,X2] : k2_xboole_0(X1,k4_xboole_0(X2,X1)) = k2_xboole_0(X1,X2),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t39_xboole_1) ).

fof(t7_latsum_1,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_orders_2(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & l1_orders_2(X2) )
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))
             => ( r2_hidden(X3,u1_struct_0(X1))
                | r2_hidden(X3,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X1))) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_latsum_1) ).

fof(d2_latsum_1,axiom,
    ! [X1] :
      ( l1_orders_2(X1)
     => ! [X2] :
          ( l1_orders_2(X2)
         => ! [X3] :
              ( ( v1_orders_2(X3)
                & l1_orders_2(X3) )
             => ( X3 = k1_latsum_1(X1,X2)
              <=> ( u1_struct_0(X3) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
                  & u1_orders_2(X3) = k2_xboole_0(k2_xboole_0(u1_orders_2(X1),u1_orders_2(X2)),k7_relset_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X2),u1_orders_2(X1),u1_orders_2(X2))) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d2_latsum_1) ).

fof(dt_k1_latsum_1,axiom,
    ! [X1,X2] :
      ( ( l1_orders_2(X1)
        & l1_orders_2(X2) )
     => ( v1_orders_2(k1_latsum_1(X1,X2))
        & l1_orders_2(k1_latsum_1(X1,X2)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k1_latsum_1) ).

fof(t2_subset,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X1,X2)
     => ( v1_xboole_0(X2)
        | r2_hidden(X1,X2) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_subset) ).

fof(t7_boole,axiom,
    ! [X1,X2] :
      ~ ( r2_hidden(X1,X2)
        & v1_xboole_0(X2) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_boole) ).

fof(t1_boole,axiom,
    ! [X1] : k2_xboole_0(X1,k1_xboole_0) = X1,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_boole) ).

fof(t6_boole,axiom,
    ! [X1] :
      ( v1_xboole_0(X1)
     => X1 = k1_xboole_0 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t6_boole) ).

fof(idempotence_k2_xboole_0,axiom,
    ! [X1,X2] : k2_xboole_0(X1,X1) = X1,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',idempotence_k2_xboole_0) ).

fof(fc1_xboole_0,axiom,
    v1_xboole_0(k1_xboole_0),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_xboole_0) ).

fof(fc1_struct_0,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_struct_0) ).

fof(dt_l1_orders_2,axiom,
    ! [X1] :
      ( l1_orders_2(X1)
     => l1_struct_0(X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_orders_2) ).

fof(c_0_13,plain,
    ! [X5,X6,X7,X8,X8,X5,X6,X7] :
      ( ( ~ r2_hidden(X8,X7)
        | r2_hidden(X8,X5)
        | r2_hidden(X8,X6)
        | X7 != k2_xboole_0(X5,X6) )
      & ( ~ r2_hidden(X8,X5)
        | r2_hidden(X8,X7)
        | X7 != k2_xboole_0(X5,X6) )
      & ( ~ r2_hidden(X8,X6)
        | r2_hidden(X8,X7)
        | X7 != k2_xboole_0(X5,X6) )
      & ( ~ r2_hidden(esk4_3(X5,X6,X7),X5)
        | ~ r2_hidden(esk4_3(X5,X6,X7),X7)
        | X7 = k2_xboole_0(X5,X6) )
      & ( ~ r2_hidden(esk4_3(X5,X6,X7),X6)
        | ~ r2_hidden(esk4_3(X5,X6,X7),X7)
        | X7 = k2_xboole_0(X5,X6) )
      & ( r2_hidden(esk4_3(X5,X6,X7),X7)
        | r2_hidden(esk4_3(X5,X6,X7),X5)
        | r2_hidden(esk4_3(X5,X6,X7),X6)
        | X7 = k2_xboole_0(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_xboole_0])])])])])])]) ).

cnf(c_0_14,plain,
    ( r2_hidden(X4,X3)
    | r2_hidden(X4,X2)
    | X1 != k2_xboole_0(X2,X3)
    | ~ r2_hidden(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_15,plain,
    ! [X3,X4] : k2_xboole_0(X3,k4_xboole_0(X4,X3)) = k2_xboole_0(X3,X4),
    inference(variable_rename,[status(thm)],[t39_xboole_1]) ).

fof(c_0_16,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & l1_orders_2(X1) )
       => ! [X2] :
            ( ( ~ v3_struct_0(X2)
              & l1_orders_2(X2) )
           => ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))
               => ( r2_hidden(X3,u1_struct_0(X1))
                  | r2_hidden(X3,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X1))) ) ) ) ),
    inference(assume_negation,[status(cth)],[t7_latsum_1]) ).

fof(c_0_17,plain,
    ! [X4,X5,X6] :
      ( ( u1_struct_0(X6) = k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))
        | X6 != k1_latsum_1(X4,X5)
        | ~ v1_orders_2(X6)
        | ~ l1_orders_2(X6)
        | ~ l1_orders_2(X5)
        | ~ l1_orders_2(X4) )
      & ( u1_orders_2(X6) = k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5)))
        | X6 != k1_latsum_1(X4,X5)
        | ~ v1_orders_2(X6)
        | ~ l1_orders_2(X6)
        | ~ l1_orders_2(X5)
        | ~ l1_orders_2(X4) )
      & ( u1_struct_0(X6) != k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))
        | u1_orders_2(X6) != k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5)))
        | X6 = k1_latsum_1(X4,X5)
        | ~ v1_orders_2(X6)
        | ~ l1_orders_2(X6)
        | ~ l1_orders_2(X5)
        | ~ l1_orders_2(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_latsum_1])])])])])]) ).

fof(c_0_18,plain,
    ! [X3,X4] :
      ( ( v1_orders_2(k1_latsum_1(X3,X4))
        | ~ l1_orders_2(X3)
        | ~ l1_orders_2(X4) )
      & ( l1_orders_2(k1_latsum_1(X3,X4))
        | ~ l1_orders_2(X3)
        | ~ l1_orders_2(X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_latsum_1])])]) ).

cnf(c_0_19,plain,
    ( r2_hidden(X1,X2)
    | r2_hidden(X1,X3)
    | ~ r2_hidden(X1,k2_xboole_0(X3,X2)) ),
    inference(er,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    k2_xboole_0(X1,k4_xboole_0(X2,X1)) = k2_xboole_0(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    ( r2_hidden(X4,X1)
    | X1 != k2_xboole_0(X2,X3)
    | ~ r2_hidden(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_22,plain,
    ! [X3,X4] :
      ( ~ m1_subset_1(X3,X4)
      | v1_xboole_0(X4)
      | r2_hidden(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).

fof(c_0_23,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & l1_orders_2(esk1_0)
    & ~ v3_struct_0(esk2_0)
    & l1_orders_2(esk2_0)
    & m1_subset_1(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0)))
    & ~ r2_hidden(esk3_0,u1_struct_0(esk1_0))
    & ~ r2_hidden(esk3_0,k4_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))) ),
    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)],[c_0_16])])])])])]) ).

cnf(c_0_24,plain,
    ( u1_struct_0(X3) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X3)
    | ~ v1_orders_2(X3)
    | X3 != k1_latsum_1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,plain,
    ( l1_orders_2(k1_latsum_1(X2,X1))
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    ( v1_orders_2(k1_latsum_1(X2,X1))
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_27,plain,
    ( r2_hidden(X1,k4_xboole_0(X2,X3))
    | r2_hidden(X1,X3)
    | ~ r2_hidden(X1,k2_xboole_0(X3,X2)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_28,plain,
    ( r2_hidden(X1,k2_xboole_0(X2,X3))
    | ~ r2_hidden(X1,X3) ),
    inference(er,[status(thm)],[c_0_21]) ).

fof(c_0_29,plain,
    ! [X3,X4] :
      ( ~ r2_hidden(X3,X4)
      | ~ v1_xboole_0(X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).

cnf(c_0_30,plain,
    ( r2_hidden(X1,X2)
    | v1_xboole_0(X2)
    | ~ m1_subset_1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_31,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_32,plain,
    ( u1_struct_0(k1_latsum_1(X1,X2)) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_24]),c_0_25]),c_0_26]) ).

cnf(c_0_33,negated_conjecture,
    l1_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_34,negated_conjecture,
    l1_orders_2(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_35,negated_conjecture,
    ~ r2_hidden(esk3_0,k4_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_36,plain,
    ( r2_hidden(X1,k4_xboole_0(X2,X3))
    | r2_hidden(X1,X3)
    | ~ r2_hidden(X1,X2) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_37,negated_conjecture,
    ~ r2_hidden(esk3_0,u1_struct_0(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_38,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_39,plain,
    ! [X2] : k2_xboole_0(X2,k1_xboole_0) = X2,
    inference(variable_rename,[status(thm)],[t1_boole]) ).

fof(c_0_40,plain,
    ( ~ epred1_0
  <=> ! [X1] : ~ v1_xboole_0(X1) ),
    introduced(definition) ).

fof(c_0_41,plain,
    ! [X2] :
      ( ~ v1_xboole_0(X2)
      | X2 = k1_xboole_0 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).

cnf(c_0_42,plain,
    ( v1_xboole_0(k2_xboole_0(X1,X2))
    | r2_hidden(X3,X1)
    | r2_hidden(X3,X2)
    | ~ m1_subset_1(X3,k2_xboole_0(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_30]) ).

cnf(c_0_43,negated_conjecture,
    m1_subset_1(esk3_0,k2_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34])]) ).

cnf(c_0_44,negated_conjecture,
    ~ r2_hidden(esk3_0,u1_struct_0(esk2_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).

fof(c_0_45,plain,
    ! [X3] : k2_xboole_0(X3,X3) = X3,
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[idempotence_k2_xboole_0])]) ).

fof(c_0_46,plain,
    ( ~ epred2_0
  <=> ! [X2] : ~ r2_hidden(X2,k1_xboole_0) ),
    introduced(definition) ).

cnf(c_0_47,plain,
    ( ~ v1_xboole_0(k2_xboole_0(X1,X2))
    | ~ r2_hidden(X3,X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_28]) ).

cnf(c_0_48,plain,
    k2_xboole_0(X1,k1_xboole_0) = X1,
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_49,plain,
    ( epred1_0
    | ~ v1_xboole_0(X1) ),
    inference(split_equiv,[status(thm)],[c_0_40]) ).

cnf(c_0_50,plain,
    v1_xboole_0(k1_xboole_0),
    inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).

cnf(c_0_51,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_52,negated_conjecture,
    v1_xboole_0(k2_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0))),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_37]),c_0_44]) ).

cnf(c_0_53,plain,
    ( X1 = k2_xboole_0(X2,X3)
    | r2_hidden(esk4_3(X2,X3,X1),X3)
    | r2_hidden(esk4_3(X2,X3,X1),X2)
    | r2_hidden(esk4_3(X2,X3,X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_54,plain,
    k2_xboole_0(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_55,plain,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_40]),c_0_46]) ).

cnf(c_0_56,plain,
    epred1_0,
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

fof(c_0_57,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ l1_struct_0(X2)
      | ~ v1_xboole_0(u1_struct_0(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_struct_0])])]) ).

cnf(c_0_58,negated_conjecture,
    k2_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)) = k1_xboole_0,
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_59,plain,
    ( epred2_0
    | ~ r2_hidden(X1,k1_xboole_0) ),
    inference(split_equiv,[status(thm)],[c_0_46]) ).

cnf(c_0_60,plain,
    ( X1 = X2
    | r2_hidden(esk4_3(X2,X2,X1),X2)
    | r2_hidden(esk4_3(X2,X2,X1),X1) ),
    inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_53]),c_0_54]) ).

cnf(c_0_61,plain,
    ~ epred2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]) ).

cnf(c_0_62,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_63,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_64,negated_conjecture,
    ~ r2_hidden(X1,u1_struct_0(esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_58]),c_0_50])]) ).

cnf(c_0_65,plain,
    ( X1 = k1_xboole_0
    | r2_hidden(esk4_3(k1_xboole_0,k1_xboole_0,X1),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ v1_xboole_0(u1_struct_0(esk2_0))
    | ~ l1_struct_0(esk2_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_67,negated_conjecture,
    u1_struct_0(esk2_0) = k1_xboole_0,
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

fof(c_0_68,plain,
    ! [X2] :
      ( ~ l1_orders_2(X2)
      | l1_struct_0(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).

cnf(c_0_69,negated_conjecture,
    ~ l1_struct_0(esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67]),c_0_50])]) ).

cnf(c_0_70,plain,
    ( l1_struct_0(X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_33])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SEU407+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n014.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
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 08:12:48 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.41  # Preprocessing time       : 0.017 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 72
% 0.23/1.41  # Proof object clause steps            : 44
% 0.23/1.41  # Proof object formula steps           : 28
% 0.23/1.41  # Proof object conjectures             : 18
% 0.23/1.41  # Proof object clause conjectures      : 15
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 23
% 0.23/1.41  # Proof object initial formulas used   : 13
% 0.23/1.41  # Proof object generating inferences   : 19
% 0.23/1.41  # Proof object simplifying inferences  : 21
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 55
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.41  # Initial clauses                      : 77
% 0.23/1.41  # Removed in clause preprocessing      : 9
% 0.23/1.41  # Initial clauses in saturation        : 68
% 0.23/1.41  # Processed clauses                    : 450
% 0.23/1.41  # ...of these trivial                  : 1
% 0.23/1.41  # ...subsumed                          : 180
% 0.23/1.41  # ...remaining for further processing  : 269
% 0.23/1.41  # Other redundant clauses eliminated   : 35
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 0
% 0.23/1.41  # Backward-rewritten                   : 24
% 0.23/1.41  # Generated clauses                    : 4945
% 0.23/1.41  # ...of the previous two non-trivial   : 4745
% 0.23/1.41  # Contextual simplify-reflections      : 28
% 0.23/1.41  # Paramodulations                      : 4787
% 0.23/1.41  # Factorizations                       : 98
% 0.23/1.41  # Equation resolutions                 : 48
% 0.23/1.41  # Current number of processed clauses  : 241
% 0.23/1.41  #    Positive orientable unit clauses  : 37
% 0.23/1.41  #    Positive unorientable unit clauses: 1
% 0.23/1.41  #    Negative unit clauses             : 11
% 0.23/1.41  #    Non-unit-clauses                  : 192
% 0.23/1.41  # Current number of unprocessed clauses: 4051
% 0.23/1.41  # ...number of literals in the above   : 16488
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 24
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 10179
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 5289
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 168
% 0.23/1.41  # Unit Clause-clause subsumption calls : 786
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 16
% 0.23/1.41  # BW rewrite match successes           : 16
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 76577
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.100 s
% 0.23/1.41  # System time              : 0.004 s
% 0.23/1.41  # Total time               : 0.104 s
% 0.23/1.41  # Maximum resident set size: 7244 pages
% 0.23/23.40  eprover: CPU time limit exceeded, terminating
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------