TSTP Solution File: ALG216+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : ALG216+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.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 : Thu Jul 14 16:50:26 EDT 2022

% Result   : Theorem 1.91s 209.08s
% Output   : CNFRefutation 1.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   64 (  34 unt;   0 def)
%            Number of atoms       :  600 (  28 equ)
%            Maximal formula atoms :   44 (   9 avg)
%            Number of connectives :  884 ( 348   ~; 356   |; 153   &)
%                                         (   2 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   9 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;   1 prp; 0-4 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-3 aty)
%            Number of variables   :   96 (   4 sgn  58   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(existence_m2_rmod_4,axiom,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1)
        & ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v5_vectsp_2(X2,X1)
        & l1_vectsp_2(X2,X1)
        & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
     => ? [X4] : m2_rmod_4(X4,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+280.ax',existence_m2_rmod_4) ).

fof(t4_subset_1,axiom,
    ! [X1] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t4_subset_1) ).

fof(t6_rmod_5,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X2))
             => ( k1_rlvect_1(X1) != k2_group_1(X1)
               => ( ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2)
                  & ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t6_rmod_5) ).

fof(dt_m2_rmod_4,axiom,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1)
        & ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v5_vectsp_2(X2,X1)
        & l1_vectsp_2(X2,X1)
        & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
     => ! [X4] :
          ( m2_rmod_4(X4,X1,X2,X3)
         => m1_rmod_4(X4,X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+280.ax',dt_m2_rmod_4) ).

fof(d7_rmod_4,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
             => ! [X4] :
                  ( m1_rmod_4(X4,X1,X2)
                 => ( m2_rmod_4(X4,X1,X2,X3)
                  <=> r1_tarski(k2_rmod_4(X1,X2,X4),X3) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+280.ax',d7_rmod_4) ).

fof(d10_xboole_0,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ( r1_tarski(X1,X2)
        & r1_tarski(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d10_xboole_0) ).

fof(t2_xboole_1,axiom,
    ! [X1] : r1_tarski(k1_xboole_0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t2_xboole_1) ).

fof(dt_k5_rmod_4,axiom,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1)
        & ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v5_vectsp_2(X2,X1)
        & l1_vectsp_2(X2,X1)
        & m1_rmod_4(X3,X1,X2) )
     => m1_subset_1(k5_rmod_4(X1,X2,X3),u1_struct_0(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+280.ax',dt_k5_rmod_4) ).

fof(t45_rmod_4,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_rmod_4(X3,X1,X2)
             => ( k2_rmod_4(X1,X2,X3) = k1_xboole_0
               => k5_rmod_4(X1,X2,X3) = k1_rlvect_1(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+280.ax',t45_rmod_4) ).

fof(t5_rmod_5,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X2))
             => ! [X4] :
                  ( m1_subset_1(X4,u1_struct_0(X2))
                 => ( v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
                   => ( k1_rlvect_1(X1) = k2_group_1(X1)
                      | ( X3 != k1_rlvect_1(X2)
                        & X4 != k1_rlvect_1(X2) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t5_rmod_5) ).

fof(c_0_10,plain,
    ! [X5,X6,X7] :
      ( v3_struct_0(X5)
      | ~ v3_rlvect_1(X5)
      | ~ v4_rlvect_1(X5)
      | ~ v5_rlvect_1(X5)
      | ~ v6_rlvect_1(X5)
      | ~ v4_group_1(X5)
      | ~ v6_vectsp_1(X5)
      | ~ v7_vectsp_1(X5)
      | ~ v8_vectsp_1(X5)
      | ~ l3_vectsp_1(X5)
      | v3_struct_0(X6)
      | ~ v3_rlvect_1(X6)
      | ~ v4_rlvect_1(X6)
      | ~ v5_rlvect_1(X6)
      | ~ v6_rlvect_1(X6)
      | ~ v5_vectsp_2(X6,X5)
      | ~ l1_vectsp_2(X6,X5)
      | ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
      | m2_rmod_4(esk18_3(X5,X6,X7),X5,X6,X7) ),
    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)],[existence_m2_rmod_4])])])])])]) ).

fof(c_0_11,plain,
    ! [X2] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X2)),
    inference(variable_rename,[status(thm)],[t4_subset_1]) ).

fof(c_0_12,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v3_rlvect_1(X1)
          & v4_rlvect_1(X1)
          & v5_rlvect_1(X1)
          & v6_rlvect_1(X1)
          & v4_group_1(X1)
          & v6_vectsp_1(X1)
          & v7_vectsp_1(X1)
          & v8_vectsp_1(X1)
          & l3_vectsp_1(X1) )
       => ! [X2] :
            ( ( ~ v3_struct_0(X2)
              & v3_rlvect_1(X2)
              & v4_rlvect_1(X2)
              & v5_rlvect_1(X2)
              & v6_rlvect_1(X2)
              & v5_vectsp_2(X2,X1)
              & l1_vectsp_2(X2,X1) )
           => ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X2))
               => ( k1_rlvect_1(X1) != k2_group_1(X1)
                 => ( ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2)
                    & ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[t6_rmod_5]) ).

fof(c_0_13,plain,
    ! [X5,X6,X7,X8] :
      ( v3_struct_0(X5)
      | ~ v3_rlvect_1(X5)
      | ~ v4_rlvect_1(X5)
      | ~ v5_rlvect_1(X5)
      | ~ v6_rlvect_1(X5)
      | ~ v4_group_1(X5)
      | ~ v6_vectsp_1(X5)
      | ~ v7_vectsp_1(X5)
      | ~ v8_vectsp_1(X5)
      | ~ l3_vectsp_1(X5)
      | v3_struct_0(X6)
      | ~ v3_rlvect_1(X6)
      | ~ v4_rlvect_1(X6)
      | ~ v5_rlvect_1(X6)
      | ~ v6_rlvect_1(X6)
      | ~ v5_vectsp_2(X6,X5)
      | ~ l1_vectsp_2(X6,X5)
      | ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
      | ~ m2_rmod_4(X8,X5,X6,X7)
      | m1_rmod_4(X8,X5,X6) ),
    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)],[inference(fof_simplification,[status(thm)],[dt_m2_rmod_4])])])])])]) ).

cnf(c_0_14,plain,
    ( m2_rmod_4(esk18_3(X1,X2,X3),X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_16,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v3_rlvect_1(esk1_0)
    & v4_rlvect_1(esk1_0)
    & v5_rlvect_1(esk1_0)
    & v6_rlvect_1(esk1_0)
    & v4_group_1(esk1_0)
    & v6_vectsp_1(esk1_0)
    & v7_vectsp_1(esk1_0)
    & v8_vectsp_1(esk1_0)
    & l3_vectsp_1(esk1_0)
    & ~ v3_struct_0(esk2_0)
    & v3_rlvect_1(esk2_0)
    & v4_rlvect_1(esk2_0)
    & v5_rlvect_1(esk2_0)
    & v6_rlvect_1(esk2_0)
    & v5_vectsp_2(esk2_0,esk1_0)
    & l1_vectsp_2(esk2_0,esk1_0)
    & m1_subset_1(esk3_0,u1_struct_0(esk2_0))
    & k1_rlvect_1(esk1_0) != k2_group_1(esk1_0)
    & ( v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0)
      | v1_rmod_5(k8_rlvect_2(esk2_0,k1_rlvect_1(esk2_0),esk3_0),esk1_0,esk2_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_12])])])])])]) ).

fof(c_0_17,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ m2_rmod_4(X8,X5,X6,X7)
        | r1_tarski(k2_rmod_4(X5,X6,X8),X7)
        | ~ m1_rmod_4(X8,X5,X6)
        | ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
        | v3_struct_0(X6)
        | ~ v3_rlvect_1(X6)
        | ~ v4_rlvect_1(X6)
        | ~ v5_rlvect_1(X6)
        | ~ v6_rlvect_1(X6)
        | ~ v5_vectsp_2(X6,X5)
        | ~ l1_vectsp_2(X6,X5)
        | v3_struct_0(X5)
        | ~ v3_rlvect_1(X5)
        | ~ v4_rlvect_1(X5)
        | ~ v5_rlvect_1(X5)
        | ~ v6_rlvect_1(X5)
        | ~ v4_group_1(X5)
        | ~ v6_vectsp_1(X5)
        | ~ v7_vectsp_1(X5)
        | ~ v8_vectsp_1(X5)
        | ~ l3_vectsp_1(X5) )
      & ( ~ r1_tarski(k2_rmod_4(X5,X6,X8),X7)
        | m2_rmod_4(X8,X5,X6,X7)
        | ~ m1_rmod_4(X8,X5,X6)
        | ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
        | v3_struct_0(X6)
        | ~ v3_rlvect_1(X6)
        | ~ v4_rlvect_1(X6)
        | ~ v5_rlvect_1(X6)
        | ~ v6_rlvect_1(X6)
        | ~ v5_vectsp_2(X6,X5)
        | ~ l1_vectsp_2(X6,X5)
        | v3_struct_0(X5)
        | ~ v3_rlvect_1(X5)
        | ~ v4_rlvect_1(X5)
        | ~ v5_rlvect_1(X5)
        | ~ v6_rlvect_1(X5)
        | ~ v4_group_1(X5)
        | ~ v6_vectsp_1(X5)
        | ~ v7_vectsp_1(X5)
        | ~ v8_vectsp_1(X5)
        | ~ l3_vectsp_1(X5) ) ),
    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)],[inference(fof_simplification,[status(thm)],[d7_rmod_4])])])])])])]) ).

cnf(c_0_18,plain,
    ( m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( m2_rmod_4(esk18_3(X1,X2,k1_xboole_0),X1,X2,k1_xboole_0)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v3_rlvect_1(X1) ),
    inference(pm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    v5_vectsp_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    l1_vectsp_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    v8_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    v7_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_24,negated_conjecture,
    v6_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25,negated_conjecture,
    l3_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_26,negated_conjecture,
    v4_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_27,negated_conjecture,
    v6_rlvect_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_28,negated_conjecture,
    v6_rlvect_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_29,negated_conjecture,
    v5_rlvect_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_30,negated_conjecture,
    v5_rlvect_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_31,negated_conjecture,
    v4_rlvect_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_32,negated_conjecture,
    v4_rlvect_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_33,negated_conjecture,
    v3_rlvect_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_34,negated_conjecture,
    v3_rlvect_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_35,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_36,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_37,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_tarski(k2_rmod_4(X1,X2,X4),X3)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ m1_rmod_4(X4,X1,X2)
    | ~ m2_rmod_4(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_38,plain,
    ( m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | ~ m2_rmod_4(X1,X2,X3,k1_xboole_0)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X3)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X3)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v3_rlvect_1(X2) ),
    inference(pm,[status(thm)],[c_0_18,c_0_15]) ).

cnf(c_0_39,negated_conjecture,
    m2_rmod_4(esk18_3(esk1_0,esk2_0,k1_xboole_0),esk1_0,esk2_0,k1_xboole_0),
    inference(sr,[status(thm)],[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(rw,[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(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34])]),c_0_35]),c_0_36]) ).

fof(c_0_40,plain,
    ! [X3,X4,X3,X4] :
      ( ( r1_tarski(X3,X4)
        | X3 != X4 )
      & ( r1_tarski(X4,X3)
        | X3 != X4 )
      & ( ~ r1_tarski(X3,X4)
        | ~ r1_tarski(X4,X3)
        | X3 = X4 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])])]) ).

cnf(c_0_41,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_tarski(k2_rmod_4(X2,X1,X3),k1_xboole_0)
    | ~ m2_rmod_4(X3,X2,X1,k1_xboole_0)
    | ~ m1_rmod_4(X3,X2,X1)
    | ~ v5_vectsp_2(X1,X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2) ),
    inference(pm,[status(thm)],[c_0_37,c_0_15]) ).

cnf(c_0_42,negated_conjecture,
    m1_rmod_4(esk18_3(esk1_0,esk2_0,k1_xboole_0),esk1_0,esk2_0),
    inference(sr,[status(thm)],[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(rw,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_38,c_0_39]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34])]),c_0_35]),c_0_36]) ).

fof(c_0_43,plain,
    ! [X2] : r1_tarski(k1_xboole_0,X2),
    inference(variable_rename,[status(thm)],[t2_xboole_1]) ).

fof(c_0_44,plain,
    ! [X4,X5,X6] :
      ( v3_struct_0(X4)
      | ~ v3_rlvect_1(X4)
      | ~ v4_rlvect_1(X4)
      | ~ v5_rlvect_1(X4)
      | ~ v6_rlvect_1(X4)
      | ~ v4_group_1(X4)
      | ~ v6_vectsp_1(X4)
      | ~ v7_vectsp_1(X4)
      | ~ v8_vectsp_1(X4)
      | ~ l3_vectsp_1(X4)
      | v3_struct_0(X5)
      | ~ v3_rlvect_1(X5)
      | ~ v4_rlvect_1(X5)
      | ~ v5_rlvect_1(X5)
      | ~ v6_rlvect_1(X5)
      | ~ v5_vectsp_2(X5,X4)
      | ~ l1_vectsp_2(X5,X4)
      | ~ m1_rmod_4(X6,X4,X5)
      | m1_subset_1(k5_rmod_4(X4,X5,X6),u1_struct_0(X5)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k5_rmod_4])])]) ).

fof(c_0_45,plain,
    ! [X4,X5,X6] :
      ( v3_struct_0(X4)
      | ~ v3_rlvect_1(X4)
      | ~ v4_rlvect_1(X4)
      | ~ v5_rlvect_1(X4)
      | ~ v6_rlvect_1(X4)
      | ~ v4_group_1(X4)
      | ~ v6_vectsp_1(X4)
      | ~ v7_vectsp_1(X4)
      | ~ v8_vectsp_1(X4)
      | ~ l3_vectsp_1(X4)
      | v3_struct_0(X5)
      | ~ v3_rlvect_1(X5)
      | ~ v4_rlvect_1(X5)
      | ~ v5_rlvect_1(X5)
      | ~ v6_rlvect_1(X5)
      | ~ v5_vectsp_2(X5,X4)
      | ~ l1_vectsp_2(X5,X4)
      | ~ m1_rmod_4(X6,X4,X5)
      | k2_rmod_4(X4,X5,X6) != k1_xboole_0
      | k5_rmod_4(X4,X5,X6) = k1_rlvect_1(X5) ),
    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)],[inference(fof_simplification,[status(thm)],[t45_rmod_4])])])])])]) ).

cnf(c_0_46,plain,
    ( X1 = X2
    | ~ r1_tarski(X2,X1)
    | ~ r1_tarski(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_47,negated_conjecture,
    r1_tarski(k2_rmod_4(esk1_0,esk2_0,esk18_3(esk1_0,esk2_0,k1_xboole_0)),k1_xboole_0),
    inference(sr,[status(thm)],[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(rw,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_41,c_0_39]),c_0_42]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34])]),c_0_35]),c_0_36]) ).

cnf(c_0_48,plain,
    r1_tarski(k1_xboole_0,X1),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_49,plain,
    ! [X5,X6,X7,X8] :
      ( ( X7 != k1_rlvect_1(X6)
        | k1_rlvect_1(X5) = k2_group_1(X5)
        | ~ v1_rmod_5(k8_rlvect_2(X6,X7,X8),X5,X6)
        | ~ m1_subset_1(X8,u1_struct_0(X6))
        | ~ m1_subset_1(X7,u1_struct_0(X6))
        | v3_struct_0(X6)
        | ~ v3_rlvect_1(X6)
        | ~ v4_rlvect_1(X6)
        | ~ v5_rlvect_1(X6)
        | ~ v6_rlvect_1(X6)
        | ~ v5_vectsp_2(X6,X5)
        | ~ l1_vectsp_2(X6,X5)
        | v3_struct_0(X5)
        | ~ v3_rlvect_1(X5)
        | ~ v4_rlvect_1(X5)
        | ~ v5_rlvect_1(X5)
        | ~ v6_rlvect_1(X5)
        | ~ v4_group_1(X5)
        | ~ v6_vectsp_1(X5)
        | ~ v7_vectsp_1(X5)
        | ~ v8_vectsp_1(X5)
        | ~ l3_vectsp_1(X5) )
      & ( X8 != k1_rlvect_1(X6)
        | k1_rlvect_1(X5) = k2_group_1(X5)
        | ~ v1_rmod_5(k8_rlvect_2(X6,X7,X8),X5,X6)
        | ~ m1_subset_1(X8,u1_struct_0(X6))
        | ~ m1_subset_1(X7,u1_struct_0(X6))
        | v3_struct_0(X6)
        | ~ v3_rlvect_1(X6)
        | ~ v4_rlvect_1(X6)
        | ~ v5_rlvect_1(X6)
        | ~ v6_rlvect_1(X6)
        | ~ v5_vectsp_2(X6,X5)
        | ~ l1_vectsp_2(X6,X5)
        | v3_struct_0(X5)
        | ~ v3_rlvect_1(X5)
        | ~ v4_rlvect_1(X5)
        | ~ v5_rlvect_1(X5)
        | ~ v6_rlvect_1(X5)
        | ~ v4_group_1(X5)
        | ~ v6_vectsp_1(X5)
        | ~ v7_vectsp_1(X5)
        | ~ v8_vectsp_1(X5)
        | ~ l3_vectsp_1(X5) ) ),
    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)],[inference(fof_simplification,[status(thm)],[t5_rmod_5])])])])])])]) ).

cnf(c_0_50,plain,
    ( m1_subset_1(k5_rmod_4(X1,X2,X3),u1_struct_0(X2))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_51,plain,
    ( k5_rmod_4(X1,X2,X3) = k1_rlvect_1(X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | k2_rmod_4(X1,X2,X3) != k1_xboole_0
    | ~ m1_rmod_4(X3,X1,X2)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_52,negated_conjecture,
    k2_rmod_4(esk1_0,esk2_0,esk18_3(esk1_0,esk2_0,k1_xboole_0)) = k1_xboole_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).

cnf(c_0_53,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | k1_rlvect_1(X1) = k2_group_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
    | X3 != k1_rlvect_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_54,negated_conjecture,
    ( v1_rmod_5(k8_rlvect_2(esk2_0,k1_rlvect_1(esk2_0),esk3_0),esk1_0,esk2_0)
    | v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_55,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_56,negated_conjecture,
    k1_rlvect_1(esk1_0) != k2_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_57,negated_conjecture,
    m1_subset_1(k5_rmod_4(esk1_0,esk2_0,esk18_3(esk1_0,esk2_0,k1_xboole_0)),u1_struct_0(esk2_0)),
    inference(sr,[status(thm)],[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(rw,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_50,c_0_42]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34])]),c_0_35]),c_0_36]) ).

cnf(c_0_58,negated_conjecture,
    k5_rmod_4(esk1_0,esk2_0,esk18_3(esk1_0,esk2_0,k1_xboole_0)) = k1_rlvect_1(esk2_0),
    inference(sr,[status(thm)],[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(rw,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_51,c_0_52]),c_0_42]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34])]),c_0_35]),c_0_36]) ).

cnf(c_0_59,negated_conjecture,
    ( v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0)
    | ~ m1_subset_1(k1_rlvect_1(esk2_0),u1_struct_0(esk2_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(rw,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_53,c_0_54]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_55])]),c_0_56]),c_0_35]),c_0_36]) ).

cnf(c_0_60,negated_conjecture,
    m1_subset_1(k1_rlvect_1(esk2_0),u1_struct_0(esk2_0)),
    inference(rw,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_61,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | k1_rlvect_1(X1) = k2_group_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
    | X4 != k1_rlvect_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_62,negated_conjecture,
    v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60])]) ).

cnf(c_0_63,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(rw,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_61,c_0_62]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_60]),c_0_55])]),c_0_56]),c_0_35]),c_0_36]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : ALG216+3 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n024.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 : Thu Jun  9 01:01:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.85/23.89  eprover: CPU time limit exceeded, terminating
% 0.85/23.89  eprover: CPU time limit exceeded, terminating
% 0.85/23.90  eprover: CPU time limit exceeded, terminating
% 0.85/23.90  eprover: CPU time limit exceeded, terminating
% 0.98/46.91  eprover: CPU time limit exceeded, terminating
% 0.98/46.92  eprover: CPU time limit exceeded, terminating
% 0.98/46.92  eprover: CPU time limit exceeded, terminating
% 0.98/47.25  eprover: CPU time limit exceeded, terminating
% 1.11/69.93  eprover: CPU time limit exceeded, terminating
% 1.11/69.94  eprover: CPU time limit exceeded, terminating
% 1.11/69.94  eprover: CPU time limit exceeded, terminating
% 1.11/70.26  eprover: CPU time limit exceeded, terminating
% 1.25/92.95  eprover: CPU time limit exceeded, terminating
% 1.25/92.96  eprover: CPU time limit exceeded, terminating
% 1.25/92.96  eprover: CPU time limit exceeded, terminating
% 1.25/93.28  eprover: CPU time limit exceeded, terminating
% 1.37/115.97  eprover: CPU time limit exceeded, terminating
% 1.37/115.98  eprover: CPU time limit exceeded, terminating
% 1.37/115.99  eprover: CPU time limit exceeded, terminating
% 1.37/116.29  eprover: CPU time limit exceeded, terminating
% 1.51/138.99  eprover: CPU time limit exceeded, terminating
% 1.51/139.00  eprover: CPU time limit exceeded, terminating
% 1.51/139.00  eprover: CPU time limit exceeded, terminating
% 1.51/139.31  eprover: CPU time limit exceeded, terminating
% 1.65/162.00  eprover: CPU time limit exceeded, terminating
% 1.65/162.02  eprover: CPU time limit exceeded, terminating
% 1.65/162.03  eprover: CPU time limit exceeded, terminating
% 1.65/162.33  eprover: CPU time limit exceeded, terminating
% 1.78/185.02  eprover: CPU time limit exceeded, terminating
% 1.78/185.03  eprover: CPU time limit exceeded, terminating
% 1.78/185.05  eprover: CPU time limit exceeded, terminating
% 1.78/185.34  eprover: CPU time limit exceeded, terminating
% 1.91/208.03  eprover: CPU time limit exceeded, terminating
% 1.91/208.07  eprover: CPU time limit exceeded, terminating
% 1.91/208.32  eprover: CPU time limit exceeded, terminating
% 1.91/208.36  eprover: CPU time limit exceeded, terminating
% 1.91/209.08  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.91/209.08  
% 1.91/209.08  # Failure: Resource limit exceeded (time)
% 1.91/209.08  # OLD status Res
% 1.91/209.08  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.91/209.08  # Preprocessing time       : 0.366 s
% 1.91/209.08  # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 1.91/209.08  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 1.91/209.08  # Preprocessing time       : 0.322 s
% 1.91/209.08  
% 1.91/209.08  # Failure: Out of unprocessed clauses!
% 1.91/209.08  # OLD status GaveUp
% 1.91/209.08  # Parsed axioms                        : 9996
% 1.91/209.08  # Removed by relevancy pruning/SinE    : 9967
% 1.91/209.08  # Initial clauses                      : 55
% 1.91/209.08  # Removed in clause preprocessing      : 0
% 1.91/209.08  # Initial clauses in saturation        : 55
% 1.91/209.08  # Processed clauses                    : 63
% 1.91/209.08  # ...of these trivial                  : 0
% 1.91/209.08  # ...subsumed                          : 3
% 1.91/209.08  # ...remaining for further processing  : 60
% 1.91/209.08  # Other redundant clauses eliminated   : 0
% 1.91/209.08  # Clauses deleted for lack of memory   : 0
% 1.91/209.08  # Backward-subsumed                    : 1
% 1.91/209.08  # Backward-rewritten                   : 0
% 1.91/209.08  # Generated clauses                    : 11
% 1.91/209.08  # ...of the previous two non-trivial   : 10
% 1.91/209.08  # Contextual simplify-reflections      : 4
% 1.91/209.08  # Paramodulations                      : 11
% 1.91/209.08  # Factorizations                       : 0
% 1.91/209.08  # Equation resolutions                 : 0
% 1.91/209.08  # Current number of processed clauses  : 59
% 1.91/209.08  #    Positive orientable unit clauses  : 18
% 1.91/209.08  #    Positive unorientable unit clauses: 0
% 1.91/209.08  #    Negative unit clauses             : 4
% 1.91/209.08  #    Non-unit-clauses                  : 37
% 1.91/209.08  # Current number of unprocessed clauses: 0
% 1.91/209.08  # ...number of literals in the above   : 0
% 1.91/209.08  # Current number of archived formulas  : 0
% 1.91/209.08  # Current number of archived clauses   : 1
% 1.91/209.08  # Clause-clause subsumption calls (NU) : 970
% 1.91/209.08  # Rec. Clause-clause subsumption calls : 28
% 1.91/209.08  # Non-unit clause-clause subsumptions  : 5
% 1.91/209.08  # Unit Clause-clause subsumption calls : 16
% 1.91/209.08  # Rewrite failures with RHS unbound    : 0
% 1.91/209.08  # BW rewrite match attempts            : 0
% 1.91/209.08  # BW rewrite match successes           : 0
% 1.91/209.08  # Condensation attempts                : 0
% 1.91/209.08  # Condensation successes               : 0
% 1.91/209.08  # Termbank termtop insertions          : 233346
% 1.91/209.08  
% 1.91/209.08  # -------------------------------------------------
% 1.91/209.08  # User time                : 0.317 s
% 1.91/209.08  # System time              : 0.010 s
% 1.91/209.08  # Total time               : 0.327 s
% 1.91/209.08  # Maximum resident set size: 22184 pages
% 1.91/209.08  # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 1.91/209.08  
% 1.91/209.08  # Failure: Resource limit exceeded (time)
% 1.91/209.08  # OLD status Res
% 1.91/209.08  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 1.91/209.08  # Preprocessing time       : 0.340 s
% 1.91/209.08  # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 1.91/209.08  
% 1.91/209.08  # Failure: Resource limit exceeded (time)
% 1.91/209.08  # OLD status Res
% 1.91/209.08  # Preprocessing time       : 1.501 s
% 1.91/209.08  # Running protocol protocol_eprover_260890dcdd2d907655d788d68835201aeffdef4a for 23 seconds:
% 1.91/209.08  
% 1.91/209.08  # Failure: Resource limit exceeded (time)
% 1.91/209.08  # OLD status Res
% 1.91/209.08  # SinE strategy is GSinE(CountFormulas,,1.5,,03,100,1.0)
% 1.91/209.08  # Preprocessing time       : 0.253 s
% 1.91/209.08  # Running protocol protocol_eprover_9a428cb4e1feff5dec19b8494e78e7f0e8ede446 for 23 seconds:
% 1.91/209.08  
% 1.91/209.08  # Failure: Resource limit exceeded (time)
% 1.91/209.08  # OLD status Res
% 1.91/209.08  # Preprocessing time       : 1.530 s
% 1.91/209.08  # Running protocol protocol_eprover_e6b386026570787d4ac06e541c4634c5e3f09cc5 for 23 seconds:
% 1.91/209.08  
% 1.91/209.08  # Failure: Resource limit exceeded (time)
% 1.91/209.08  # OLD status Res
% 1.91/209.08  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,100,1.0)
% 1.91/209.08  # Preprocessing time       : 0.333 s
% 1.91/209.08  # Running protocol protocol_eprover_2e85aeff02a0bd3743f362014f6604d7fba54d74 for 23 seconds:
% 1.91/209.08  
% 1.91/209.08  # Failure: Resource limit exceeded (time)
% 1.91/209.08  # OLD status Res
% 1.91/209.08  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 1.91/209.08  # Preprocessing time       : 0.243 s
% 1.91/209.08  # Running protocol protocol_eprover_334d43c175335e554899225728a5c2ebd420f86b for 23 seconds:
% 1.91/209.08  
% 1.91/209.08  # Failure: Resource limit exceeded (time)
% 1.91/209.08  # OLD status Res
% 1.91/209.08  # Preprocessing time       : 1.445 s
% 1.91/209.08  # Running protocol protocol_eprover_13918ce26d63c8fe682016bfda2032977bcbf85b for 23 seconds:
% 1.91/209.08  
% 1.91/209.08  # Failure: Resource limit exceeded (time)
% 1.91/209.08  # OLD status Res
% 1.91/209.08  # Preprocessing time       : 1.370 s
% 1.91/209.08  # Running protocol protocol_eprover_374255c1532cc4daa30b60038971be8183a2c553 for 23 seconds:
% 1.91/209.08  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,03,100,1.0)
% 1.91/209.08  # Preprocessing time       : 0.257 s
% 1.91/209.08  
% 1.91/209.08  # Proof found!
% 1.91/209.08  # SZS status Theorem
% 1.91/209.08  # SZS output start CNFRefutation
% See solution above
% 1.91/209.08  # Proof object total steps             : 64
% 1.91/209.08  # Proof object clause steps            : 43
% 1.91/209.08  # Proof object formula steps           : 21
% 1.91/209.08  # Proof object conjectures             : 33
% 1.91/209.08  # Proof object clause conjectures      : 30
% 1.91/209.08  # Proof object formula conjectures     : 3
% 1.91/209.08  # Proof object initial clauses used    : 30
% 1.91/209.08  # Proof object initial formulas used   : 10
% 1.91/209.08  # Proof object generating inferences   : 11
% 1.91/209.08  # Proof object simplifying inferences  : 137
% 1.91/209.08  # Training examples: 0 positive, 0 negative
% 1.91/209.08  # Parsed axioms                        : 9996
% 1.91/209.08  # Removed by relevancy pruning/SinE    : 9895
% 1.91/209.08  # Initial clauses                      : 224
% 1.91/209.08  # Removed in clause preprocessing      : 34
% 1.91/209.08  # Initial clauses in saturation        : 190
% 1.91/209.08  # Processed clauses                    : 504
% 1.91/209.08  # ...of these trivial                  : 3
% 1.91/209.08  # ...subsumed                          : 69
% 1.91/209.08  # ...remaining for further processing  : 432
% 1.91/209.08  # Other redundant clauses eliminated   : 3
% 1.91/209.08  # Clauses deleted for lack of memory   : 0
% 1.91/209.08  # Backward-subsumed                    : 1
% 1.91/209.08  # Backward-rewritten                   : 32
% 1.91/209.08  # Generated clauses                    : 1903
% 1.91/209.08  # ...of the previous two non-trivial   : 1766
% 1.91/209.08  # Contextual simplify-reflections      : 0
% 1.91/209.08  # Paramodulations                      : 1881
% 1.91/209.08  # Factorizations                       : 0
% 1.91/209.08  # Equation resolutions                 : 19
% 1.91/209.08  # Current number of processed clauses  : 395
% 1.91/209.08  #    Positive orientable unit clauses  : 65
% 1.91/209.08  #    Positive unorientable unit clauses: 0
% 1.91/209.08  #    Negative unit clauses             : 7
% 1.91/209.08  #    Non-unit-clauses                  : 323
% 1.91/209.08  # Current number of unprocessed clauses: 1169
% 1.91/209.08  # ...number of literals in the above   : 8556
% 1.91/209.08  # Current number of archived formulas  : 0
% 1.91/209.08  # Current number of archived clauses   : 33
% 1.91/209.08  # Clause-clause subsumption calls (NU) : 9982
% 1.91/209.08  # Rec. Clause-clause subsumption calls : 1468
% 1.91/209.08  # Non-unit clause-clause subsumptions  : 36
% 1.91/209.08  # Unit Clause-clause subsumption calls : 2288
% 1.91/209.08  # Rewrite failures with RHS unbound    : 0
% 1.91/209.08  # BW rewrite match attempts            : 51
% 1.91/209.08  # BW rewrite match successes           : 11
% 1.91/209.08  # Condensation attempts                : 0
% 1.91/209.08  # Condensation successes               : 0
% 1.91/209.08  # Termbank termtop insertions          : 289076
% 1.91/209.08  
% 1.91/209.08  # -------------------------------------------------
% 1.91/209.08  # User time                : 0.319 s
% 1.91/209.08  # System time              : 0.019 s
% 1.91/209.08  # Total time               : 0.338 s
% 1.91/209.08  # Maximum resident set size: 25720 pages
% 1.91/231.05  eprover: CPU time limit exceeded, terminating
% 1.91/231.07  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.91/231.07  eprover: No such file or directory
% 1.91/231.07  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.91/231.07  eprover: No such file or directory
% 1.91/231.09  eprover: CPU time limit exceeded, terminating
% 1.91/231.11  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.91/231.11  eprover: No such file or directory
% 1.91/231.11  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.91/231.11  eprover: No such file or directory
% 1.91/231.34  eprover: CPU time limit exceeded, terminating
% 1.91/231.36  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.91/231.36  eprover: No such file or directory
%------------------------------------------------------------------------------