TSTP Solution File: GRP628+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GRP628+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n007.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 : Sat Jul 16 09:02:32 EDT 2022

% Result   : Theorem 0.25s 1.43s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   48 (  14 unt;   0 def)
%            Number of atoms       :  278 (  27 equ)
%            Maximal formula atoms :   30 (   5 avg)
%            Number of connectives :  379 ( 149   ~; 157   |;  49   &)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   61 (   0 sgn  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t11_autgroup,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v1_group_1(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(k3_autgroup(X1)))
             => ( X2 = X3
               => k2_funct_1(X2) = k3_group_1(k3_autgroup(X1),X3) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t11_autgroup) ).

fof(t22_autgroup,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v1_group_1(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(k5_autgroup(X1)))
             => ( X2 = X3
               => k2_funct_1(X2) = k3_group_1(k5_autgroup(X1),X3) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t22_autgroup) ).

fof(t13_autgroup,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v1_group_1(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
         => m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t13_autgroup) ).

fof(t57_group_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ! [X3] :
              ( m1_group_2(X3,X1)
             => ! [X4] :
                  ( m1_subset_1(X4,u1_struct_0(X3))
                 => ( X4 = X2
                   => k3_group_1(X3,X4) = k3_group_1(X1,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t57_group_2) ).

fof(t51_group_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( m1_group_2(X2,X1)
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X2))
             => m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t51_group_2) ).

fof(dt_k5_autgroup,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v1_group_1(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ( v1_group_1(k5_autgroup(X1))
        & v1_group_3(k5_autgroup(X1),k3_autgroup(X1))
        & m1_group_2(k5_autgroup(X1),k3_autgroup(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k5_autgroup) ).

fof(dt_k3_autgroup,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v1_group_1(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ( ~ v3_struct_0(k3_autgroup(X1))
        & v1_group_1(k3_autgroup(X1))
        & v3_group_1(k3_autgroup(X1))
        & v4_group_1(k3_autgroup(X1))
        & l1_group_1(k3_autgroup(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k3_autgroup) ).

fof(c_0_7,plain,
    ! [X4,X5,X6] :
      ( v3_struct_0(X4)
      | ~ v1_group_1(X4)
      | ~ v3_group_1(X4)
      | ~ v4_group_1(X4)
      | ~ l1_group_1(X4)
      | ~ m2_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4),k1_autgroup(X4))
      | ~ m1_subset_1(X6,u1_struct_0(k3_autgroup(X4)))
      | X5 != X6
      | k2_funct_1(X5) = k3_group_1(k3_autgroup(X4),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)],[t11_autgroup])])])])])]) ).

fof(c_0_8,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v1_group_1(X1)
          & v3_group_1(X1)
          & v4_group_1(X1)
          & l1_group_1(X1) )
       => ! [X2] :
            ( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
           => ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(k5_autgroup(X1)))
               => ( X2 = X3
                 => k2_funct_1(X2) = k3_group_1(k5_autgroup(X1),X3) ) ) ) ),
    inference(assume_negation,[status(cth)],[t22_autgroup]) ).

cnf(c_0_9,plain,
    ( k2_funct_1(X1) = k3_group_1(k3_autgroup(X2),X3)
    | v3_struct_0(X2)
    | X1 != X3
    | ~ m1_subset_1(X3,u1_struct_0(k3_autgroup(X2)))
    | ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ v1_group_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_10,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v1_group_1(X3)
      | ~ v3_group_1(X3)
      | ~ v4_group_1(X3)
      | ~ l1_group_1(X3)
      | ~ m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k4_autgroup(X3))
      | m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3)) ),
    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)],[t13_autgroup])])])])])]) ).

fof(c_0_11,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v1_group_1(esk1_0)
    & v3_group_1(esk1_0)
    & v4_group_1(esk1_0)
    & l1_group_1(esk1_0)
    & m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0))
    & m1_subset_1(esk3_0,u1_struct_0(k5_autgroup(esk1_0)))
    & esk2_0 = esk3_0
    & k2_funct_1(esk2_0) != k3_group_1(k5_autgroup(esk1_0),esk3_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_8])])])])])]) ).

cnf(c_0_12,plain,
    ( k2_funct_1(X1) = k3_group_1(k3_autgroup(X2),X1)
    | v3_struct_0(X2)
    | ~ m1_subset_1(X1,u1_struct_0(k3_autgroup(X2)))
    | ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ v1_group_1(X2) ),
    inference(er,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    ( m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
    | v3_struct_0(X2)
    | ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k4_autgroup(X2))
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ v1_group_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_14,plain,
    ! [X5,X6,X7,X8] :
      ( v3_struct_0(X5)
      | ~ v3_group_1(X5)
      | ~ v4_group_1(X5)
      | ~ l1_group_1(X5)
      | ~ m1_subset_1(X6,u1_struct_0(X5))
      | ~ m1_group_2(X7,X5)
      | ~ m1_subset_1(X8,u1_struct_0(X7))
      | X8 != X6
      | k3_group_1(X7,X8) = k3_group_1(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)],[t57_group_2])])])])])]) ).

fof(c_0_15,plain,
    ! [X4,X5,X6] :
      ( v3_struct_0(X4)
      | ~ v3_group_1(X4)
      | ~ l1_group_1(X4)
      | ~ m1_group_2(X5,X4)
      | ~ m1_subset_1(X6,u1_struct_0(X5))
      | m1_subset_1(X6,u1_struct_0(X4)) ),
    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)],[t51_group_2])])])])])]) ).

cnf(c_0_16,negated_conjecture,
    k2_funct_1(esk2_0) != k3_group_1(k5_autgroup(esk1_0),esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    esk2_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,plain,
    ( k2_funct_1(X1) = k3_group_1(k3_autgroup(X2),X1)
    | v3_struct_0(X2)
    | ~ m1_subset_1(X1,u1_struct_0(k3_autgroup(X2)))
    | ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k4_autgroup(X2))
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ v1_group_1(X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_20,negated_conjecture,
    l1_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_21,negated_conjecture,
    v4_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_22,negated_conjecture,
    v3_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_23,negated_conjecture,
    v1_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_24,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_25,plain,
    ( k3_group_1(X1,X2) = k3_group_1(X3,X4)
    | v3_struct_0(X3)
    | X2 != X4
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_group_2(X1,X3)
    | ~ m1_subset_1(X4,u1_struct_0(X3))
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_26,plain,
    ( m1_subset_1(X1,u1_struct_0(X2))
    | v3_struct_0(X2)
    | ~ m1_subset_1(X1,u1_struct_0(X3))
    | ~ m1_group_2(X3,X2)
    | ~ l1_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_27,plain,
    ! [X2] :
      ( ( v1_group_1(k5_autgroup(X2))
        | v3_struct_0(X2)
        | ~ v1_group_1(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v1_group_3(k5_autgroup(X2),k3_autgroup(X2))
        | v3_struct_0(X2)
        | ~ v1_group_1(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( m1_group_2(k5_autgroup(X2),k3_autgroup(X2))
        | v3_struct_0(X2)
        | ~ v1_group_1(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k5_autgroup])])])]) ).

fof(c_0_28,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(k3_autgroup(X2))
        | v3_struct_0(X2)
        | ~ v1_group_1(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v1_group_1(k3_autgroup(X2))
        | v3_struct_0(X2)
        | ~ v1_group_1(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v3_group_1(k3_autgroup(X2))
        | v3_struct_0(X2)
        | ~ v1_group_1(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v4_group_1(k3_autgroup(X2))
        | v3_struct_0(X2)
        | ~ v1_group_1(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( l1_group_1(k3_autgroup(X2))
        | v3_struct_0(X2)
        | ~ v1_group_1(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k3_autgroup])])])]) ).

cnf(c_0_29,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(k5_autgroup(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_30,negated_conjecture,
    k2_funct_1(esk2_0) != k3_group_1(k5_autgroup(esk1_0),esk2_0),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_31,negated_conjecture,
    ( k2_funct_1(esk2_0) = k3_group_1(k3_autgroup(esk1_0),esk2_0)
    | ~ m1_subset_1(esk2_0,u1_struct_0(k3_autgroup(esk1_0))) ),
    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(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).

cnf(c_0_32,plain,
    ( k3_group_1(X1,X2) = k3_group_1(X3,X2)
    | v3_struct_0(X3)
    | ~ m1_group_2(X1,X3)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_25]),c_0_26]) ).

cnf(c_0_33,plain,
    ( v3_struct_0(X1)
    | m1_group_2(k5_autgroup(X1),k3_autgroup(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v1_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,plain,
    ( v3_struct_0(X1)
    | v3_group_1(k3_autgroup(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v1_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_35,plain,
    ( v3_struct_0(X1)
    | v4_group_1(k3_autgroup(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v1_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_36,plain,
    ( v3_struct_0(X1)
    | l1_group_1(k3_autgroup(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v1_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_37,plain,
    ( v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v3_struct_0(k3_autgroup(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,negated_conjecture,
    m1_subset_1(esk2_0,u1_struct_0(k5_autgroup(esk1_0))),
    inference(rw,[status(thm)],[c_0_29,c_0_17]) ).

cnf(c_0_39,negated_conjecture,
    ( k3_group_1(k5_autgroup(esk1_0),esk2_0) != k3_group_1(k3_autgroup(esk1_0),esk2_0)
    | ~ m1_subset_1(esk2_0,u1_struct_0(k3_autgroup(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_40,plain,
    ( k3_group_1(k5_autgroup(X1),X2) = k3_group_1(k3_autgroup(X1),X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k5_autgroup(X1)))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v1_group_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    ( m1_subset_1(esk2_0,u1_struct_0(X1))
    | v3_struct_0(X1)
    | ~ m1_group_2(k5_autgroup(esk1_0),X1)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_38]) ).

cnf(c_0_42,negated_conjecture,
    ~ m1_subset_1(esk2_0,u1_struct_0(k3_autgroup(esk1_0))),
    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(spm,[status(thm)],[c_0_39,c_0_40]),c_0_38]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).

cnf(c_0_43,negated_conjecture,
    ( m1_subset_1(esk2_0,u1_struct_0(k3_autgroup(esk1_0)))
    | v3_struct_0(k3_autgroup(esk1_0))
    | ~ l1_group_1(k3_autgroup(esk1_0))
    | ~ v3_group_1(k3_autgroup(esk1_0)) ),
    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(spm,[status(thm)],[c_0_41,c_0_33]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).

cnf(c_0_44,negated_conjecture,
    ( v3_struct_0(k3_autgroup(esk1_0))
    | ~ l1_group_1(k3_autgroup(esk1_0))
    | ~ v3_group_1(k3_autgroup(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_45,negated_conjecture,
    ( v3_struct_0(k3_autgroup(esk1_0))
    | ~ l1_group_1(k3_autgroup(esk1_0)) ),
    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(spm,[status(thm)],[c_0_44,c_0_34]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).

cnf(c_0_46,negated_conjecture,
    v3_struct_0(k3_autgroup(esk1_0)),
    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(spm,[status(thm)],[c_0_45,c_0_36]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).

cnf(c_0_47,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(spm,[status(thm)],[c_0_37,c_0_46]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]),c_0_24]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRP628+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jun 13 13:55:09 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.25/1.43  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.43  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.43  # Preprocessing time       : 0.021 s
% 0.25/1.43  
% 0.25/1.43  # Proof found!
% 0.25/1.43  # SZS status Theorem
% 0.25/1.43  # SZS output start CNFRefutation
% See solution above
% 0.25/1.43  # Proof object total steps             : 48
% 0.25/1.43  # Proof object clause steps            : 33
% 0.25/1.43  # Proof object formula steps           : 15
% 0.25/1.43  # Proof object conjectures             : 23
% 0.25/1.43  # Proof object clause conjectures      : 20
% 0.25/1.43  # Proof object formula conjectures     : 3
% 0.25/1.43  # Proof object initial clauses used    : 18
% 0.25/1.43  # Proof object initial formulas used   : 7
% 0.25/1.43  # Proof object generating inferences   : 11
% 0.25/1.43  # Proof object simplifying inferences  : 46
% 0.25/1.43  # Training examples: 0 positive, 0 negative
% 0.25/1.43  # Parsed axioms                        : 77
% 0.25/1.43  # Removed by relevancy pruning/SinE    : 24
% 0.25/1.43  # Initial clauses                      : 107
% 0.25/1.43  # Removed in clause preprocessing      : 1
% 0.25/1.43  # Initial clauses in saturation        : 106
% 0.25/1.43  # Processed clauses                    : 557
% 0.25/1.43  # ...of these trivial                  : 1
% 0.25/1.43  # ...subsumed                          : 189
% 0.25/1.43  # ...remaining for further processing  : 367
% 0.25/1.43  # Other redundant clauses eliminated   : 2
% 0.25/1.43  # Clauses deleted for lack of memory   : 0
% 0.25/1.43  # Backward-subsumed                    : 28
% 0.25/1.43  # Backward-rewritten                   : 5
% 0.25/1.43  # Generated clauses                    : 832
% 0.25/1.43  # ...of the previous two non-trivial   : 764
% 0.25/1.43  # Contextual simplify-reflections      : 269
% 0.25/1.43  # Paramodulations                      : 824
% 0.25/1.43  # Factorizations                       : 0
% 0.25/1.43  # Equation resolutions                 : 8
% 0.25/1.43  # Current number of processed clauses  : 332
% 0.25/1.43  #    Positive orientable unit clauses  : 54
% 0.25/1.43  #    Positive unorientable unit clauses: 0
% 0.25/1.43  #    Negative unit clauses             : 8
% 0.25/1.43  #    Non-unit-clauses                  : 270
% 0.25/1.43  # Current number of unprocessed clauses: 296
% 0.25/1.43  # ...number of literals in the above   : 1765
% 0.25/1.43  # Current number of archived formulas  : 0
% 0.25/1.43  # Current number of archived clauses   : 33
% 0.25/1.43  # Clause-clause subsumption calls (NU) : 30251
% 0.25/1.43  # Rec. Clause-clause subsumption calls : 11431
% 0.25/1.43  # Non-unit clause-clause subsumptions  : 480
% 0.25/1.43  # Unit Clause-clause subsumption calls : 807
% 0.25/1.43  # Rewrite failures with RHS unbound    : 0
% 0.25/1.43  # BW rewrite match attempts            : 8
% 0.25/1.43  # BW rewrite match successes           : 8
% 0.25/1.43  # Condensation attempts                : 0
% 0.25/1.43  # Condensation successes               : 0
% 0.25/1.43  # Termbank termtop insertions          : 23147
% 0.25/1.43  
% 0.25/1.43  # -------------------------------------------------
% 0.25/1.43  # User time                : 0.073 s
% 0.25/1.43  # System time              : 0.008 s
% 0.25/1.43  # Total time               : 0.082 s
% 0.25/1.43  # Maximum resident set size: 4564 pages
% 0.25/23.42  eprover: CPU time limit exceeded, terminating
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49  eprover: No such file or directory
% 0.25/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50  eprover: No such file or directory
% 0.25/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50  eprover: No such file or directory
%------------------------------------------------------------------------------