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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : GRP645+2 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n011.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  : 300s
% DateTime : Tue May  5 04:26:42 PM UTC 2026

% Result   : Theorem 6.54s 5.15s
% Output   : CNFRefutation 6.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   41 (  16 unt;   0 def)
%            Number of atoms       :  256 (  27 equ)
%            Maximal formula atoms :   38 (   6 avg)
%            Number of connectives :  336 ( 121   ~; 123   |;  68   &)
%                                         (   2 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-3 aty)
%            Number of variables   :   62 (   0 sgn  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t24_latsubgr,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( v1_group_1(X2)
            & m1_group_2(X2,X1) )
         => ! [X3] :
              ( ( v1_group_1(X3)
                & m1_group_2(X3,X1) )
             => k1_funct_1(k1_latsubgr(X1),k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_latsubgr) ).

fof(t23_latsubgr,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( v1_group_1(X2)
            & m1_group_2(X2,X1) )
         => ! [X3] :
              ( ( v1_group_1(X3)
                & m1_group_2(X3,X1) )
             => u1_struct_0(k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_latsubgr) ).

fof(t48_xboole_1,axiom,
    ! [X1,X2] : k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t48_xboole_1) ).

fof(d1_latsubgr,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( v1_funct_1(X2)
            & v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
            & m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
         => ( X2 = k1_latsubgr(X1)
          <=> ! [X3] :
                ( ( v1_group_1(X3)
                  & m1_group_2(X3,X1) )
               => k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_latsubgr) ).

fof(dt_k1_latsubgr,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ( v1_funct_1(k1_latsubgr(X1))
        & v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
        & m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_latsubgr) ).

fof(dt_k9_group_2,axiom,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1)
        & m1_group_2(X2,X1)
        & m1_group_2(X3,X1) )
     => ( v1_group_1(k9_group_2(X1,X2,X3))
        & m1_group_2(k9_group_2(X1,X2,X3),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+246.ax',dt_k9_group_2) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v3_group_1(X1)
          & v4_group_1(X1)
          & l1_group_1(X1) )
       => ! [X2] :
            ( ( v1_group_1(X2)
              & m1_group_2(X2,X1) )
           => ! [X3] :
                ( ( v1_group_1(X3)
                  & m1_group_2(X3,X1) )
               => k1_funct_1(k1_latsubgr(X1),k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t24_latsubgr])]) ).

fof(c_0_7,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( v1_group_1(X2)
            & m1_group_2(X2,X1) )
         => ! [X3] :
              ( ( v1_group_1(X3)
                & m1_group_2(X3,X1) )
             => u1_struct_0(k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
    inference(fof_simplification,[status(thm)],[t23_latsubgr]) ).

fof(c_0_8,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v3_group_1(esk1_0)
    & v4_group_1(esk1_0)
    & l1_group_1(esk1_0)
    & v1_group_1(esk2_0)
    & m1_group_2(esk2_0,esk1_0)
    & v1_group_1(esk3_0)
    & m1_group_2(esk3_0,esk1_0)
    & k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)) != k3_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),esk2_0),k1_funct_1(k1_latsubgr(esk1_0),esk3_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

fof(c_0_9,plain,
    ! [X1513,X1514] : k4_xboole_0(X1513,k4_xboole_0(X1513,X1514)) = k3_xboole_0(X1513,X1514),
    inference(variable_rename,[status(thm)],[t48_xboole_1]) ).

fof(c_0_10,plain,
    ! [X1688,X1689,X1690] :
      ( v3_struct_0(X1688)
      | ~ v3_group_1(X1688)
      | ~ v4_group_1(X1688)
      | ~ l1_group_1(X1688)
      | ~ v1_group_1(X1689)
      | ~ m1_group_2(X1689,X1688)
      | ~ v1_group_1(X1690)
      | ~ m1_group_2(X1690,X1688)
      | u1_struct_0(k9_group_2(X1688,X1689,X1690)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1688),X1689),k1_funct_1(k1_latsubgr(X1688),X1690)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).

fof(c_0_11,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( v1_funct_1(X2)
            & v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
            & m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
         => ( X2 = k1_latsubgr(X1)
          <=> ! [X3] :
                ( ( v1_group_1(X3)
                  & m1_group_2(X3,X1) )
               => k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
    inference(fof_simplification,[status(thm)],[d1_latsubgr]) ).

fof(c_0_12,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ( v1_funct_1(k1_latsubgr(X1))
        & v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
        & m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
    inference(fof_simplification,[status(thm)],[dt_k1_latsubgr]) ).

cnf(c_0_13,negated_conjecture,
    k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)) != k3_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),esk2_0),k1_funct_1(k1_latsubgr(esk1_0),esk3_0)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( v3_struct_0(X1)
    | u1_struct_0(k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3))
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X2)
    | ~ m1_group_2(X2,X1)
    | ~ v1_group_1(X3)
    | ~ m1_group_2(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_16,plain,
    ! [X1670,X1671,X1672] :
      ( ( X1671 != k1_latsubgr(X1670)
        | ~ v1_group_1(X1672)
        | ~ m1_group_2(X1672,X1670)
        | k1_funct_1(X1671,X1672) = u1_struct_0(X1672)
        | ~ v1_funct_1(X1671)
        | ~ v1_funct_2(X1671,k1_group_3(X1670),k1_zfmisc_1(u1_struct_0(X1670)))
        | ~ m2_relset_1(X1671,k1_group_3(X1670),k1_zfmisc_1(u1_struct_0(X1670)))
        | v3_struct_0(X1670)
        | ~ v3_group_1(X1670)
        | ~ v4_group_1(X1670)
        | ~ l1_group_1(X1670) )
      & ( v1_group_1(esk22_2(X1670,X1671))
        | X1671 = k1_latsubgr(X1670)
        | ~ v1_funct_1(X1671)
        | ~ v1_funct_2(X1671,k1_group_3(X1670),k1_zfmisc_1(u1_struct_0(X1670)))
        | ~ m2_relset_1(X1671,k1_group_3(X1670),k1_zfmisc_1(u1_struct_0(X1670)))
        | v3_struct_0(X1670)
        | ~ v3_group_1(X1670)
        | ~ v4_group_1(X1670)
        | ~ l1_group_1(X1670) )
      & ( m1_group_2(esk22_2(X1670,X1671),X1670)
        | X1671 = k1_latsubgr(X1670)
        | ~ v1_funct_1(X1671)
        | ~ v1_funct_2(X1671,k1_group_3(X1670),k1_zfmisc_1(u1_struct_0(X1670)))
        | ~ m2_relset_1(X1671,k1_group_3(X1670),k1_zfmisc_1(u1_struct_0(X1670)))
        | v3_struct_0(X1670)
        | ~ v3_group_1(X1670)
        | ~ v4_group_1(X1670)
        | ~ l1_group_1(X1670) )
      & ( k1_funct_1(X1671,esk22_2(X1670,X1671)) != u1_struct_0(esk22_2(X1670,X1671))
        | X1671 = k1_latsubgr(X1670)
        | ~ v1_funct_1(X1671)
        | ~ v1_funct_2(X1671,k1_group_3(X1670),k1_zfmisc_1(u1_struct_0(X1670)))
        | ~ m2_relset_1(X1671,k1_group_3(X1670),k1_zfmisc_1(u1_struct_0(X1670)))
        | v3_struct_0(X1670)
        | ~ v3_group_1(X1670)
        | ~ v4_group_1(X1670)
        | ~ l1_group_1(X1670) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).

fof(c_0_17,plain,
    ! [X1669] :
      ( ( v1_funct_1(k1_latsubgr(X1669))
        | v3_struct_0(X1669)
        | ~ v3_group_1(X1669)
        | ~ v4_group_1(X1669)
        | ~ l1_group_1(X1669) )
      & ( v1_funct_2(k1_latsubgr(X1669),k1_group_3(X1669),k1_zfmisc_1(u1_struct_0(X1669)))
        | v3_struct_0(X1669)
        | ~ v3_group_1(X1669)
        | ~ v4_group_1(X1669)
        | ~ l1_group_1(X1669) )
      & ( m2_relset_1(k1_latsubgr(X1669),k1_group_3(X1669),k1_zfmisc_1(u1_struct_0(X1669)))
        | v3_struct_0(X1669)
        | ~ v3_group_1(X1669)
        | ~ v4_group_1(X1669)
        | ~ l1_group_1(X1669) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

cnf(c_0_18,negated_conjecture,
    k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)) != k4_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),esk2_0),k4_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),esk2_0),k1_funct_1(k1_latsubgr(esk1_0),esk3_0))),
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,plain,
    ( u1_struct_0(k9_group_2(X1,X2,X3)) = k4_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k4_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X3)
    | ~ v1_group_1(X2)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ m1_group_2(X2,X1) ),
    inference(rw,[status(thm)],[c_0_15,c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    m1_group_2(esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_21,negated_conjecture,
    m1_group_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_22,negated_conjecture,
    v4_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_23,negated_conjecture,
    v3_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_24,negated_conjecture,
    v1_group_1(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_25,negated_conjecture,
    v1_group_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_26,negated_conjecture,
    l1_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_27,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_28,plain,
    ( k1_funct_1(X1,X3) = u1_struct_0(X3)
    | v3_struct_0(X2)
    | X1 != k1_latsubgr(X2)
    | ~ v1_group_1(X3)
    | ~ m1_group_2(X3,X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
    | ~ m2_relset_1(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_29,plain,
    ( v1_funct_1(k1_latsubgr(X1))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_30,plain,
    ( m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_31,plain,
    ( v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_32,plain,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1)
        & m1_group_2(X2,X1)
        & m1_group_2(X3,X1) )
     => ( v1_group_1(k9_group_2(X1,X2,X3))
        & m1_group_2(k9_group_2(X1,X2,X3),X1) ) ),
    inference(fof_simplification,[status(thm)],[dt_k9_group_2]) ).

cnf(c_0_33,negated_conjecture,
    k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)) != u1_struct_0(k9_group_2(esk1_0,esk2_0,esk3_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(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]),c_0_25]),c_0_26])]),c_0_27]) ).

cnf(c_0_34,plain,
    ( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_group_2(X2,X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v1_group_1(X2)
    | ~ l1_group_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_28]),c_0_29]),c_0_30]),c_0_31]) ).

fof(c_0_35,plain,
    ! [X1718,X1719,X1720] :
      ( ( v1_group_1(k9_group_2(X1718,X1719,X1720))
        | v3_struct_0(X1718)
        | ~ v3_group_1(X1718)
        | ~ v4_group_1(X1718)
        | ~ l1_group_1(X1718)
        | ~ m1_group_2(X1719,X1718)
        | ~ m1_group_2(X1720,X1718) )
      & ( m1_group_2(k9_group_2(X1718,X1719,X1720),X1718)
        | v3_struct_0(X1718)
        | ~ v3_group_1(X1718)
        | ~ v4_group_1(X1718)
        | ~ l1_group_1(X1718)
        | ~ m1_group_2(X1719,X1718)
        | ~ m1_group_2(X1720,X1718) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ m1_group_2(k9_group_2(esk1_0,esk2_0,esk3_0),esk1_0)
    | ~ v1_group_1(k9_group_2(esk1_0,esk2_0,esk3_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_22]),c_0_23]),c_0_26])]),c_0_27]) ).

cnf(c_0_37,plain,
    ( v1_group_1(k9_group_2(X1,X2,X3))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_group_2(X2,X1)
    | ~ m1_group_2(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_38,negated_conjecture,
    ~ m1_group_2(k9_group_2(esk1_0,esk2_0,esk3_0),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_36,c_0_37]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_26])]),c_0_27]) ).

cnf(c_0_39,plain,
    ( m1_group_2(k9_group_2(X1,X2,X3),X1)
    | v3_struct_0(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_group_2(X2,X1)
    | ~ m1_group_2(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_40,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_26])]),c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP645+2 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n011.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Mon May  4 18:54:03 EDT 2026
% 0.16/0.34  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 6.54/5.15  % Version  : CSE_E---1.7
% 6.54/5.15  % Problem  : theBenchmark.p
% 6.54/5.15  % SZS status Theorem for theBenchmark.p
% 6.54/5.15  % SZS output start CNFRefutation
% See solution above
% 6.54/5.16  % Total time : 4.251s
%------------------------------------------------------------------------------