TSTP Solution File: GRP631+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GRP631+4 : 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 : Sat Jul 16 09:02:36 EDT 2022

% Result   : Theorem 1.86s 4.03s
% Output   : CNFRefutation 1.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   40 (  11 unt;   0 def)
%            Number of atoms       :  213 (  47 equ)
%            Maximal formula atoms :   43 (   5 avg)
%            Number of connectives :  283 ( 110   ~; 118   |;  40   &)
%                                         (   1 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-5 aty)
%            Number of variables   :   56 (   1 sgn  28   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t29_autgroup,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v1_group_1(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k2_group_1(X1)),k6_autgroup(X1,X2)) = k6_autgroup(X1,X2)
            & k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k2_group_1(X1))) = k6_autgroup(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t29_autgroup) ).

fof(dt_k1_group_1,axiom,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & l1_group_1(X1)
        & m1_subset_1(X2,u1_struct_0(X1))
        & m1_subset_1(X3,u1_struct_0(X1)) )
     => m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',dt_k1_group_1) ).

fof(d3_group_1,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_group_1(X1) )
     => ( v3_group_1(X1)
      <=> ? [X2] :
            ( m1_subset_1(X2,u1_struct_0(X1))
            & ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X1))
               => ( k1_group_1(X1,X3,X2) = X3
                  & k1_group_1(X1,X2,X3) = X3
                  & ? [X4] :
                      ( m1_subset_1(X4,u1_struct_0(X1))
                      & k1_group_1(X1,X3,X4) = X2
                      & k1_group_1(X1,X4,X3) = X2 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',d3_group_1) ).

fof(t15_group_1,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_subset_1(X3,u1_struct_0(X1))
             => ( ( k1_group_1(X1,X2,X3) = X2
                  | k1_group_1(X1,X3,X2) = X2 )
               => X3 = k2_group_1(X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t15_group_1) ).

fof(t23_autgroup,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v1_group_1(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X1))
             => k6_autgroup(X1,k1_group_1(X1,X2,X3)) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3)) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t23_autgroup) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v1_group_1(X1)
          & v3_group_1(X1)
          & v4_group_1(X1)
          & l1_group_1(X1) )
       => ! [X2] :
            ( m1_subset_1(X2,u1_struct_0(X1))
           => ( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k2_group_1(X1)),k6_autgroup(X1,X2)) = k6_autgroup(X1,X2)
              & k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k2_group_1(X1))) = k6_autgroup(X1,X2) ) ) ),
    inference(assume_negation,[status(cth)],[t29_autgroup]) ).

fof(c_0_6,plain,
    ! [X4,X5,X6] :
      ( v3_struct_0(X4)
      | ~ l1_group_1(X4)
      | ~ m1_subset_1(X5,u1_struct_0(X4))
      | ~ m1_subset_1(X6,u1_struct_0(X4))
      | m1_subset_1(k1_group_1(X4,X5,X6),u1_struct_0(X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k1_group_1])])]) ).

fof(c_0_7,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)
    & m1_subset_1(esk2_0,u1_struct_0(esk1_0))
    & ( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k2_group_1(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0)
      | k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k2_group_1(esk1_0))) != k6_autgroup(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_5])])])])])]) ).

cnf(c_0_8,plain,
    ( m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1))
    | v3_struct_0(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l1_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    l1_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_11,plain,
    ! [X5,X7,X9,X11] :
      ( ( m1_subset_1(esk30_1(X5),u1_struct_0(X5))
        | ~ v3_group_1(X5)
        | v3_struct_0(X5)
        | ~ l1_group_1(X5) )
      & ( k1_group_1(X5,X7,esk30_1(X5)) = X7
        | ~ m1_subset_1(X7,u1_struct_0(X5))
        | ~ v3_group_1(X5)
        | v3_struct_0(X5)
        | ~ l1_group_1(X5) )
      & ( k1_group_1(X5,esk30_1(X5),X7) = X7
        | ~ m1_subset_1(X7,u1_struct_0(X5))
        | ~ v3_group_1(X5)
        | v3_struct_0(X5)
        | ~ l1_group_1(X5) )
      & ( m1_subset_1(esk31_2(X5,X7),u1_struct_0(X5))
        | ~ m1_subset_1(X7,u1_struct_0(X5))
        | ~ v3_group_1(X5)
        | v3_struct_0(X5)
        | ~ l1_group_1(X5) )
      & ( k1_group_1(X5,X7,esk31_2(X5,X7)) = esk30_1(X5)
        | ~ m1_subset_1(X7,u1_struct_0(X5))
        | ~ v3_group_1(X5)
        | v3_struct_0(X5)
        | ~ l1_group_1(X5) )
      & ( k1_group_1(X5,esk31_2(X5,X7),X7) = esk30_1(X5)
        | ~ m1_subset_1(X7,u1_struct_0(X5))
        | ~ v3_group_1(X5)
        | v3_struct_0(X5)
        | ~ l1_group_1(X5) )
      & ( m1_subset_1(esk32_2(X5,X9),u1_struct_0(X5))
        | ~ m1_subset_1(X9,u1_struct_0(X5))
        | v3_group_1(X5)
        | v3_struct_0(X5)
        | ~ l1_group_1(X5) )
      & ( k1_group_1(X5,esk32_2(X5,X9),X9) != esk32_2(X5,X9)
        | k1_group_1(X5,X9,esk32_2(X5,X9)) != esk32_2(X5,X9)
        | ~ m1_subset_1(X11,u1_struct_0(X5))
        | k1_group_1(X5,esk32_2(X5,X9),X11) != X9
        | k1_group_1(X5,X11,esk32_2(X5,X9)) != X9
        | ~ m1_subset_1(X9,u1_struct_0(X5))
        | v3_group_1(X5)
        | v3_struct_0(X5)
        | ~ l1_group_1(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d3_group_1])])])])])])])]) ).

cnf(c_0_12,negated_conjecture,
    ( m1_subset_1(k1_group_1(esk1_0,X1,X2),u1_struct_0(esk1_0))
    | ~ m1_subset_1(X2,u1_struct_0(esk1_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).

cnf(c_0_13,plain,
    ( v3_struct_0(X1)
    | k1_group_1(X1,esk31_2(X1,X2),X2) = esk30_1(X1)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    v3_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_15,plain,
    ! [X4,X5,X6] :
      ( ( k1_group_1(X4,X5,X6) != X5
        | X6 = k2_group_1(X4)
        | ~ m1_subset_1(X6,u1_struct_0(X4))
        | ~ m1_subset_1(X5,u1_struct_0(X4))
        | v3_struct_0(X4)
        | ~ v3_group_1(X4)
        | ~ v4_group_1(X4)
        | ~ l1_group_1(X4) )
      & ( k1_group_1(X4,X6,X5) != X5
        | X6 = k2_group_1(X4)
        | ~ m1_subset_1(X6,u1_struct_0(X4))
        | ~ m1_subset_1(X5,u1_struct_0(X4))
        | v3_struct_0(X4)
        | ~ v3_group_1(X4)
        | ~ v4_group_1(X4)
        | ~ l1_group_1(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)],[t15_group_1])])])])])])]) ).

cnf(c_0_16,negated_conjecture,
    ( m1_subset_1(esk30_1(esk1_0),u1_struct_0(esk1_0))
    | ~ m1_subset_1(esk31_2(esk1_0,X1),u1_struct_0(esk1_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_9])]),c_0_10]) ).

cnf(c_0_17,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(esk31_2(X1,X2),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_18,plain,
    ! [X4,X5,X6] :
      ( v3_struct_0(X4)
      | ~ v1_group_1(X4)
      | ~ v3_group_1(X4)
      | ~ v4_group_1(X4)
      | ~ l1_group_1(X4)
      | ~ m1_subset_1(X5,u1_struct_0(X4))
      | ~ m1_subset_1(X6,u1_struct_0(X4))
      | k6_autgroup(X4,k1_group_1(X4,X5,X6)) = k7_funct_2(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X4),k6_autgroup(X4,X5),k6_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)],[t23_autgroup])])])])])]) ).

cnf(c_0_19,plain,
    ( v3_struct_0(X1)
    | X3 = k2_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | k1_group_1(X1,X3,X2) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    ( v3_struct_0(X1)
    | k1_group_1(X1,X2,esk30_1(X1)) = X2
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_21,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(esk30_1(X1),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_22,negated_conjecture,
    ( m1_subset_1(esk30_1(esk1_0),u1_struct_0(esk1_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_14]),c_0_9])]),c_0_10]) ).

cnf(c_0_23,negated_conjecture,
    ( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
    | k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k2_group_1(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_24,plain,
    ( k6_autgroup(X1,k1_group_1(X1,X2,X3)) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3))
    | v3_struct_0(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v1_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    v4_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_26,negated_conjecture,
    v1_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_27,negated_conjecture,
    m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_28,plain,
    ( X1 = k2_group_1(X2)
    | v3_struct_0(X2)
    | X1 != esk30_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ m1_subset_1(X1,u1_struct_0(X2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_29,negated_conjecture,
    m1_subset_1(esk30_1(esk1_0),u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_21]),c_0_14]),c_0_9])]),c_0_10]) ).

cnf(c_0_30,negated_conjecture,
    ( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
    | k6_autgroup(esk1_0,k1_group_1(esk1_0,k2_group_1(esk1_0),esk2_0)) != k6_autgroup(esk1_0,esk2_0)
    | ~ m1_subset_1(k2_group_1(esk1_0),u1_struct_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_23,c_0_24]),c_0_25]),c_0_14]),c_0_26]),c_0_9]),c_0_27])]),c_0_10]) ).

cnf(c_0_31,negated_conjecture,
    esk30_1(esk1_0) = k2_group_1(esk1_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_28,c_0_29]),c_0_25]),c_0_14]),c_0_9])]),c_0_10]) ).

cnf(c_0_32,negated_conjecture,
    ( k6_autgroup(esk1_0,k1_group_1(esk1_0,esk2_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
    | k6_autgroup(esk1_0,k1_group_1(esk1_0,k2_group_1(esk1_0),esk2_0)) != k6_autgroup(esk1_0,esk2_0)
    | ~ m1_subset_1(k2_group_1(esk1_0),u1_struct_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_30,c_0_24]),c_0_25]),c_0_14]),c_0_26]),c_0_9]),c_0_27])]),c_0_10]) ).

cnf(c_0_33,negated_conjecture,
    m1_subset_1(k2_group_1(esk1_0),u1_struct_0(esk1_0)),
    inference(rw,[status(thm)],[c_0_29,c_0_31]) ).

cnf(c_0_34,plain,
    ( v3_struct_0(X1)
    | k1_group_1(X1,esk30_1(X1),X2) = X2
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_35,negated_conjecture,
    ( k6_autgroup(esk1_0,k1_group_1(esk1_0,esk2_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
    | k6_autgroup(esk1_0,k1_group_1(esk1_0,k2_group_1(esk1_0),esk2_0)) != k6_autgroup(esk1_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).

cnf(c_0_36,negated_conjecture,
    ( k1_group_1(esk1_0,k2_group_1(esk1_0),X1) = X1
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_31]),c_0_14]),c_0_9])]),c_0_10]) ).

cnf(c_0_37,negated_conjecture,
    k6_autgroup(esk1_0,k1_group_1(esk1_0,esk2_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_27])]) ).

cnf(c_0_38,negated_conjecture,
    ( k1_group_1(esk1_0,X1,k2_group_1(esk1_0)) = X1
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_31]),c_0_14]),c_0_9])]),c_0_10]) ).

cnf(c_0_39,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_27])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP631+4 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 13 13:49:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.86/4.03  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.86/4.03  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.86/4.03  # Preprocessing time       : 1.273 s
% 1.86/4.03  
% 1.86/4.03  # Proof found!
% 1.86/4.03  # SZS status Theorem
% 1.86/4.03  # SZS output start CNFRefutation
% See solution above
% 1.86/4.03  # Proof object total steps             : 40
% 1.86/4.03  # Proof object clause steps            : 29
% 1.86/4.03  # Proof object formula steps           : 11
% 1.86/4.03  # Proof object conjectures             : 23
% 1.86/4.03  # Proof object clause conjectures      : 20
% 1.86/4.03  # Proof object formula conjectures     : 3
% 1.86/4.03  # Proof object initial clauses used    : 15
% 1.86/4.03  # Proof object initial formulas used   : 5
% 1.86/4.03  # Proof object generating inferences   : 12
% 1.86/4.03  # Proof object simplifying inferences  : 48
% 1.86/4.03  # Training examples: 0 positive, 0 negative
% 1.86/4.03  # Parsed axioms                        : 33428
% 1.86/4.03  # Removed by relevancy pruning/SinE    : 33327
% 1.86/4.03  # Initial clauses                      : 313
% 1.86/4.03  # Removed in clause preprocessing      : 49
% 1.86/4.03  # Initial clauses in saturation        : 264
% 1.86/4.03  # Processed clauses                    : 365
% 1.86/4.03  # ...of these trivial                  : 8
% 1.86/4.03  # ...subsumed                          : 27
% 1.86/4.03  # ...remaining for further processing  : 330
% 1.86/4.03  # Other redundant clauses eliminated   : 19
% 1.86/4.03  # Clauses deleted for lack of memory   : 0
% 1.86/4.03  # Backward-subsumed                    : 7
% 1.86/4.03  # Backward-rewritten                   : 10
% 1.86/4.03  # Generated clauses                    : 1628
% 1.86/4.03  # ...of the previous two non-trivial   : 1178
% 1.86/4.03  # Contextual simplify-reflections      : 22
% 1.86/4.03  # Paramodulations                      : 1602
% 1.86/4.03  # Factorizations                       : 0
% 1.86/4.03  # Equation resolutions                 : 27
% 1.86/4.03  # Current number of processed clauses  : 303
% 1.86/4.03  #    Positive orientable unit clauses  : 27
% 1.86/4.03  #    Positive unorientable unit clauses: 0
% 1.86/4.03  #    Negative unit clauses             : 3
% 1.86/4.03  #    Non-unit-clauses                  : 273
% 1.86/4.03  # Current number of unprocessed clauses: 887
% 1.86/4.03  # ...number of literals in the above   : 8695
% 1.86/4.03  # Current number of archived formulas  : 0
% 1.86/4.03  # Current number of archived clauses   : 18
% 1.86/4.03  # Clause-clause subsumption calls (NU) : 19966
% 1.86/4.03  # Rec. Clause-clause subsumption calls : 459
% 1.86/4.03  # Non-unit clause-clause subsumptions  : 56
% 1.86/4.03  # Unit Clause-clause subsumption calls : 881
% 1.86/4.03  # Rewrite failures with RHS unbound    : 0
% 1.86/4.03  # BW rewrite match attempts            : 5
% 1.86/4.03  # BW rewrite match successes           : 4
% 1.86/4.03  # Condensation attempts                : 0
% 1.86/4.03  # Condensation successes               : 0
% 1.86/4.03  # Termbank termtop insertions          : 1065899
% 1.86/4.03  
% 1.86/4.03  # -------------------------------------------------
% 1.86/4.03  # User time                : 1.290 s
% 1.86/4.03  # System time              : 0.061 s
% 1.86/4.03  # Total time               : 1.351 s
% 1.86/4.03  # Maximum resident set size: 80116 pages
% 1.86/14.67  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.86/14.67  eprover: No such file or directory
% 1.86/14.68  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.86/14.68  eprover: No such file or directory
% 1.86/14.69  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.86/14.69  eprover: No such file or directory
% 1.86/14.69  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.86/14.69  eprover: No such file or directory
% 1.86/14.70  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.86/14.70  eprover: No such file or directory
% 1.86/14.70  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.86/14.70  eprover: No such file or directory
% 1.86/14.71  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.86/14.71  eprover: No such file or directory
% 1.86/14.72  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.86/14.72  eprover: No such file or directory
% 1.86/14.72  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.86/14.72  eprover: No such file or directory
% 1.86/14.73  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.86/14.73  eprover: No such file or directory
% 1.86/14.73  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.86/14.73  eprover: No such file or directory
% 1.86/14.94  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.86/14.94  eprover: No such file or directory
% 1.86/14.95  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.86/14.95  eprover: No such file or directory
% 1.86/14.95  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.86/14.95  eprover: No such file or directory
% 1.86/14.96  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.86/14.96  eprover: No such file or directory
% 1.86/14.96  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.86/14.96  eprover: No such file or directory
% 1.86/14.97  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.86/14.97  eprover: No such file or directory
% 1.86/14.97  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.86/14.97  eprover: No such file or directory
% 1.86/14.98  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.86/14.98  eprover: No such file or directory
% 1.86/14.99  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.86/14.99  eprover: No such file or directory
% 1.86/14.99  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.86/14.99  eprover: No such file or directory
% 1.86/15.00  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.86/15.00  eprover: No such file or directory
%------------------------------------------------------------------------------