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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GRP653+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n010.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 09:02:52 EDT 2022

% Result   : Theorem 0.23s 1.40s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   40 (  15 unt;   0 def)
%            Number of atoms       :  334 (   0 equ)
%            Maximal formula atoms :   34 (   8 avg)
%            Number of connectives :  472 ( 178   ~; 196   |;  76   &)
%                                         (   1 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   62 (   0 sgn  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t11_vectsp_8,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v10_lattices(X2)
            & l3_lattices(X2) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => ( m1_lattice4(X3,X1,X2)
              <=> ( m4_vectsp_8(X3,X1,X2)
                  & m3_vectsp_8(X3,X1,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t11_vectsp_8) ).

fof(dt_m4_vectsp_8,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v3_struct_0(X2)
        & v10_lattices(X2)
        & l3_lattices(X2) )
     => ! [X3] :
          ( m4_vectsp_8(X3,X1,X2)
         => ( v1_funct_1(X3)
            & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
            & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m4_vectsp_8) ).

fof(t37_latsubgr,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_group_1(X2)
            & v4_group_1(X2)
            & l1_group_1(X2) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & v1_group_6(X3,X1,X2)
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t37_latsubgr) ).

fof(dt_k11_group_4,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ( ~ v3_struct_0(k11_group_4(X1))
        & v3_lattices(k11_group_4(X1))
        & v10_lattices(k11_group_4(X1))
        & l3_lattices(k11_group_4(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k11_group_4) ).

fof(t38_latsubgr,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_group_1(X2)
            & v4_group_1(X2)
            & l1_group_1(X2) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & v1_group_6(X3,X1,X2)
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => ( v2_funct_1(X3)
               => m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t38_latsubgr) ).

fof(t36_latsubgr,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_group_1(X2)
            & v4_group_1(X2)
            & l1_group_1(X2) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & v1_group_6(X3,X1,X2)
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => ( v2_funct_1(X3)
               => m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t36_latsubgr) ).

fof(c_0_6,plain,
    ! [X4,X5,X6] :
      ( ( m4_vectsp_8(X6,X4,X5)
        | ~ m1_lattice4(X6,X4,X5)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4) )
      & ( m3_vectsp_8(X6,X4,X5)
        | ~ m1_lattice4(X6,X4,X5)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4) )
      & ( ~ m4_vectsp_8(X6,X4,X5)
        | ~ m3_vectsp_8(X6,X4,X5)
        | m1_lattice4(X6,X4,X5)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(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)],[inference(fof_simplification,[status(thm)],[t11_vectsp_8])])])])])])]) ).

fof(c_0_7,plain,
    ! [X4,X5,X6] :
      ( ( v1_funct_1(X6)
        | ~ m4_vectsp_8(X6,X4,X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4)
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) )
      & ( v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m4_vectsp_8(X6,X4,X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4)
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) )
      & ( m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m4_vectsp_8(X6,X4,X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4)
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(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)],[dt_m4_vectsp_8])])])])])])]) ).

cnf(c_0_8,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_lattice4(X3,X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m3_vectsp_8(X3,X1,X2)
    | ~ m4_vectsp_8(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_12,plain,
    ! [X4,X5,X6] :
      ( v3_struct_0(X4)
      | ~ v3_group_1(X4)
      | ~ v4_group_1(X4)
      | ~ l1_group_1(X4)
      | v3_struct_0(X5)
      | ~ v3_group_1(X5)
      | ~ v4_group_1(X5)
      | ~ l1_group_1(X5)
      | ~ v1_funct_1(X6)
      | ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
      | ~ v1_group_6(X6,X4,X5)
      | ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
      | m4_vectsp_8(k3_latsubgr(X4,X5,X6),k11_group_4(X4),k11_group_4(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)],[t37_latsubgr])])])])])]) ).

fof(c_0_13,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v3_lattices(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v10_lattices(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( l3_lattices(k11_group_4(X2))
        | v3_struct_0(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_k11_group_4])])])]) ).

fof(c_0_14,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v3_group_1(X1)
          & v4_group_1(X1)
          & l1_group_1(X1) )
       => ! [X2] :
            ( ( ~ v3_struct_0(X2)
              & v3_group_1(X2)
              & v4_group_1(X2)
              & l1_group_1(X2) )
           => ! [X3] :
                ( ( v1_funct_1(X3)
                  & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                  & v1_group_6(X3,X1,X2)
                  & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
               => ( v2_funct_1(X3)
                 => m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
    inference(assume_negation,[status(cth)],[t38_latsubgr]) ).

cnf(c_0_15,plain,
    ( m1_lattice4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ m4_vectsp_8(X1,X2,X3)
    | ~ m3_vectsp_8(X1,X2,X3)
    | ~ v10_lattices(X3)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X3)
    | ~ l3_lattices(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]) ).

cnf(c_0_16,plain,
    ( m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( v3_struct_0(X1)
    | l3_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v3_struct_0(k11_group_4(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_20,plain,
    ! [X4,X5,X6] :
      ( v3_struct_0(X4)
      | ~ v3_group_1(X4)
      | ~ v4_group_1(X4)
      | ~ l1_group_1(X4)
      | v3_struct_0(X5)
      | ~ v3_group_1(X5)
      | ~ v4_group_1(X5)
      | ~ l1_group_1(X5)
      | ~ v1_funct_1(X6)
      | ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
      | ~ v1_group_6(X6,X4,X5)
      | ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
      | ~ v2_funct_1(X6)
      | m3_vectsp_8(k3_latsubgr(X4,X5,X6),k11_group_4(X4),k11_group_4(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)],[t36_latsubgr])])])])])]) ).

fof(c_0_21,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v3_group_1(esk1_0)
    & v4_group_1(esk1_0)
    & l1_group_1(esk1_0)
    & ~ v3_struct_0(esk2_0)
    & v3_group_1(esk2_0)
    & v4_group_1(esk2_0)
    & l1_group_1(esk2_0)
    & v1_funct_1(esk3_0)
    & v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    & v1_group_6(esk3_0,esk1_0,esk2_0)
    & m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    & v2_funct_1(esk3_0)
    & ~ m1_lattice4(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(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_14])])])])])]) ).

cnf(c_0_22,plain,
    ( m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X2)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X2)
    | ~ v3_group_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_17]),c_0_18]),c_0_18]),c_0_19]),c_0_19]) ).

cnf(c_0_23,plain,
    ( m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v2_funct_1(X3)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    ~ m1_lattice4(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_25,plain,
    ( m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ v2_funct_1(X3)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X2)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X2)
    | ~ v3_group_1(X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    v2_funct_1(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_27,negated_conjecture,
    m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,negated_conjecture,
    v1_group_6(esk3_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_29,negated_conjecture,
    v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_30,negated_conjecture,
    v1_funct_1(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31,negated_conjecture,
    l1_group_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_32,negated_conjecture,
    l1_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_33,negated_conjecture,
    v4_group_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_34,negated_conjecture,
    v4_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_35,negated_conjecture,
    v3_group_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_36,negated_conjecture,
    v3_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_37,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_38,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_39,negated_conjecture,
    $false,
    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(spm,[status(thm)],[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])]),c_0_37]),c_0_38]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP653+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun 14 11:58:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.23/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.40  # Preprocessing time       : 0.020 s
% 0.23/1.40  
% 0.23/1.40  # Failure: Out of unprocessed clauses!
% 0.23/1.40  # OLD status GaveUp
% 0.23/1.40  # Parsed axioms                        : 66
% 0.23/1.40  # Removed by relevancy pruning/SinE    : 32
% 0.23/1.40  # Initial clauses                      : 70
% 0.23/1.40  # Removed in clause preprocessing      : 0
% 0.23/1.40  # Initial clauses in saturation        : 70
% 0.23/1.40  # Processed clauses                    : 123
% 0.23/1.40  # ...of these trivial                  : 0
% 0.23/1.40  # ...subsumed                          : 12
% 0.23/1.40  # ...remaining for further processing  : 111
% 0.23/1.40  # Other redundant clauses eliminated   : 0
% 0.23/1.40  # Clauses deleted for lack of memory   : 0
% 0.23/1.40  # Backward-subsumed                    : 1
% 0.23/1.40  # Backward-rewritten                   : 7
% 0.23/1.40  # Generated clauses                    : 58
% 0.23/1.40  # ...of the previous two non-trivial   : 57
% 0.23/1.40  # Contextual simplify-reflections      : 13
% 0.23/1.40  # Paramodulations                      : 58
% 0.23/1.40  # Factorizations                       : 0
% 0.23/1.40  # Equation resolutions                 : 0
% 0.23/1.40  # Current number of processed clauses  : 103
% 0.23/1.40  #    Positive orientable unit clauses  : 41
% 0.23/1.40  #    Positive unorientable unit clauses: 0
% 0.23/1.40  #    Negative unit clauses             : 9
% 0.23/1.40  #    Non-unit-clauses                  : 53
% 0.23/1.40  # Current number of unprocessed clauses: 0
% 0.23/1.40  # ...number of literals in the above   : 0
% 0.23/1.40  # Current number of archived formulas  : 0
% 0.23/1.40  # Current number of archived clauses   : 8
% 0.23/1.40  # Clause-clause subsumption calls (NU) : 814
% 0.23/1.40  # Rec. Clause-clause subsumption calls : 84
% 0.23/1.40  # Non-unit clause-clause subsumptions  : 26
% 0.23/1.40  # Unit Clause-clause subsumption calls : 252
% 0.23/1.40  # Rewrite failures with RHS unbound    : 0
% 0.23/1.40  # BW rewrite match attempts            : 2
% 0.23/1.40  # BW rewrite match successes           : 2
% 0.23/1.40  # Condensation attempts                : 0
% 0.23/1.40  # Condensation successes               : 0
% 0.23/1.40  # Termbank termtop insertions          : 7617
% 0.23/1.40  
% 0.23/1.40  # -------------------------------------------------
% 0.23/1.40  # User time                : 0.025 s
% 0.23/1.40  # System time              : 0.002 s
% 0.23/1.40  # Total time               : 0.027 s
% 0.23/1.40  # Maximum resident set size: 3424 pages
% 0.23/1.40  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.23/1.40  # Preprocessing time       : 0.021 s
% 0.23/1.40  
% 0.23/1.40  # Proof found!
% 0.23/1.40  # SZS status Theorem
% 0.23/1.40  # SZS output start CNFRefutation
% See solution above
% 0.23/1.40  # Proof object total steps             : 40
% 0.23/1.40  # Proof object clause steps            : 27
% 0.23/1.40  # Proof object formula steps           : 13
% 0.23/1.40  # Proof object conjectures             : 18
% 0.23/1.40  # Proof object clause conjectures      : 15
% 0.23/1.40  # Proof object formula conjectures     : 3
% 0.23/1.40  # Proof object initial clauses used    : 23
% 0.23/1.40  # Proof object initial formulas used   : 6
% 0.23/1.40  # Proof object generating inferences   : 3
% 0.23/1.40  # Proof object simplifying inferences  : 23
% 0.23/1.40  # Training examples: 0 positive, 0 negative
% 0.23/1.40  # Parsed axioms                        : 66
% 0.23/1.40  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.40  # Initial clauses                      : 131
% 0.23/1.40  # Removed in clause preprocessing      : 12
% 0.23/1.40  # Initial clauses in saturation        : 119
% 0.23/1.40  # Processed clauses                    : 354
% 0.23/1.40  # ...of these trivial                  : 1
% 0.23/1.40  # ...subsumed                          : 111
% 0.23/1.40  # ...remaining for further processing  : 242
% 0.23/1.40  # Other redundant clauses eliminated   : 0
% 0.23/1.40  # Clauses deleted for lack of memory   : 0
% 0.23/1.40  # Backward-subsumed                    : 4
% 0.23/1.40  # Backward-rewritten                   : 7
% 0.23/1.40  # Generated clauses                    : 370
% 0.23/1.40  # ...of the previous two non-trivial   : 334
% 0.23/1.40  # Contextual simplify-reflections      : 123
% 0.23/1.40  # Paramodulations                      : 370
% 0.23/1.40  # Factorizations                       : 0
% 0.23/1.40  # Equation resolutions                 : 0
% 0.23/1.40  # Current number of processed clauses  : 231
% 0.23/1.40  #    Positive orientable unit clauses  : 49
% 0.23/1.40  #    Positive unorientable unit clauses: 0
% 0.23/1.40  #    Negative unit clauses             : 11
% 0.23/1.40  #    Non-unit-clauses                  : 171
% 0.23/1.40  # Current number of unprocessed clauses: 86
% 0.23/1.40  # ...number of literals in the above   : 528
% 0.23/1.40  # Current number of archived formulas  : 0
% 0.23/1.40  # Current number of archived clauses   : 11
% 0.23/1.40  # Clause-clause subsumption calls (NU) : 30252
% 0.23/1.40  # Rec. Clause-clause subsumption calls : 6834
% 0.23/1.40  # Non-unit clause-clause subsumptions  : 232
% 0.23/1.40  # Unit Clause-clause subsumption calls : 952
% 0.23/1.40  # Rewrite failures with RHS unbound    : 0
% 0.23/1.40  # BW rewrite match attempts            : 3
% 0.23/1.40  # BW rewrite match successes           : 3
% 0.23/1.40  # Condensation attempts                : 0
% 0.23/1.40  # Condensation successes               : 0
% 0.23/1.40  # Termbank termtop insertions          : 16100
% 0.23/1.40  
% 0.23/1.40  # -------------------------------------------------
% 0.23/1.40  # User time                : 0.052 s
% 0.23/1.40  # System time              : 0.001 s
% 0.23/1.40  # Total time               : 0.053 s
% 0.23/1.40  # Maximum resident set size: 3980 pages
%------------------------------------------------------------------------------