TSTP Solution File: GRP641+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : GRP641+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 : Mon May 20 20:50:21 EDT 2024

% Result   : Theorem 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   53 (  16 unt;   0 def)
%            Number of atoms       :  261 (  19 equ)
%            Maximal formula atoms :   38 (   4 avg)
%            Number of connectives :  328 ( 120   ~; 119   |;  61   &)
%                                         (   2 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   59 (   0 sgn  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).

fof(dt_m1_group_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( m1_group_2(X2,X1)
         => ( ~ v3_struct_0(X2)
            & v3_group_1(X2)
            & l1_group_1(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).

fof(t19_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) )
         => r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_latsubgr) ).

fof(t53_group_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( m1_group_2(X2,X1)
         => k2_group_1(X2) = k2_group_1(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_group_2) ).

fof(dt_k2_group_1,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_group_1(X1) )
     => m1_subset_1(k2_group_1(X1),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).

fof(fc1_struct_0,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).

fof(t2_subset,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X1,X2)
     => ( v1_xboole_0(X2)
        | r2_hidden(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

fof(dt_l1_group_1,axiom,
    ! [X1] :
      ( l1_group_1(X1)
     => l1_struct_0(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).

fof(c_0_9,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_10,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]) ).

fof(c_0_11,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( m1_group_2(X2,X1)
         => ( ~ v3_struct_0(X2)
            & v3_group_1(X2)
            & l1_group_1(X2) ) ) ),
    inference(fof_simplification,[status(thm)],[dt_m1_group_2]) ).

fof(c_0_12,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) )
           => r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t19_latsubgr])]) ).

fof(c_0_13,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( m1_group_2(X2,X1)
         => k2_group_1(X2) = k2_group_1(X1) ) ),
    inference(fof_simplification,[status(thm)],[t53_group_2]) ).

fof(c_0_14,plain,
    ! [X21,X22,X23] :
      ( ( X22 != k1_latsubgr(X21)
        | ~ v1_group_1(X23)
        | ~ m1_group_2(X23,X21)
        | k1_funct_1(X22,X23) = u1_struct_0(X23)
        | ~ v1_funct_1(X22)
        | ~ v1_funct_2(X22,k1_group_3(X21),k1_zfmisc_1(u1_struct_0(X21)))
        | ~ m2_relset_1(X22,k1_group_3(X21),k1_zfmisc_1(u1_struct_0(X21)))
        | v3_struct_0(X21)
        | ~ v3_group_1(X21)
        | ~ v4_group_1(X21)
        | ~ l1_group_1(X21) )
      & ( v1_group_1(esk3_2(X21,X22))
        | X22 = k1_latsubgr(X21)
        | ~ v1_funct_1(X22)
        | ~ v1_funct_2(X22,k1_group_3(X21),k1_zfmisc_1(u1_struct_0(X21)))
        | ~ m2_relset_1(X22,k1_group_3(X21),k1_zfmisc_1(u1_struct_0(X21)))
        | v3_struct_0(X21)
        | ~ v3_group_1(X21)
        | ~ v4_group_1(X21)
        | ~ l1_group_1(X21) )
      & ( m1_group_2(esk3_2(X21,X22),X21)
        | X22 = k1_latsubgr(X21)
        | ~ v1_funct_1(X22)
        | ~ v1_funct_2(X22,k1_group_3(X21),k1_zfmisc_1(u1_struct_0(X21)))
        | ~ m2_relset_1(X22,k1_group_3(X21),k1_zfmisc_1(u1_struct_0(X21)))
        | v3_struct_0(X21)
        | ~ v3_group_1(X21)
        | ~ v4_group_1(X21)
        | ~ l1_group_1(X21) )
      & ( k1_funct_1(X22,esk3_2(X21,X22)) != u1_struct_0(esk3_2(X21,X22))
        | X22 = k1_latsubgr(X21)
        | ~ v1_funct_1(X22)
        | ~ v1_funct_2(X22,k1_group_3(X21),k1_zfmisc_1(u1_struct_0(X21)))
        | ~ m2_relset_1(X22,k1_group_3(X21),k1_zfmisc_1(u1_struct_0(X21)))
        | v3_struct_0(X21)
        | ~ v3_group_1(X21)
        | ~ v4_group_1(X21)
        | ~ l1_group_1(X21) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])]) ).

fof(c_0_15,plain,
    ! [X25] :
      ( ( v1_funct_1(k1_latsubgr(X25))
        | v3_struct_0(X25)
        | ~ v3_group_1(X25)
        | ~ v4_group_1(X25)
        | ~ l1_group_1(X25) )
      & ( v1_funct_2(k1_latsubgr(X25),k1_group_3(X25),k1_zfmisc_1(u1_struct_0(X25)))
        | v3_struct_0(X25)
        | ~ v3_group_1(X25)
        | ~ v4_group_1(X25)
        | ~ l1_group_1(X25) )
      & ( m2_relset_1(k1_latsubgr(X25),k1_group_3(X25),k1_zfmisc_1(u1_struct_0(X25)))
        | v3_struct_0(X25)
        | ~ v3_group_1(X25)
        | ~ v4_group_1(X25)
        | ~ l1_group_1(X25) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).

fof(c_0_16,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_group_1(X1) )
     => m1_subset_1(k2_group_1(X1),u1_struct_0(X1)) ),
    inference(fof_simplification,[status(thm)],[dt_k2_group_1]) ).

fof(c_0_17,plain,
    ! [X29,X30] :
      ( ( ~ v3_struct_0(X30)
        | ~ m1_group_2(X30,X29)
        | v3_struct_0(X29)
        | ~ v3_group_1(X29)
        | ~ l1_group_1(X29) )
      & ( v3_group_1(X30)
        | ~ m1_group_2(X30,X29)
        | v3_struct_0(X29)
        | ~ v3_group_1(X29)
        | ~ l1_group_1(X29) )
      & ( l1_group_1(X30)
        | ~ m1_group_2(X30,X29)
        | v3_struct_0(X29)
        | ~ v3_group_1(X29)
        | ~ l1_group_1(X29) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).

fof(c_0_18,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)
    & ~ r2_hidden(k2_group_1(esk1_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).

fof(c_0_19,plain,
    ! [X27,X28] :
      ( v3_struct_0(X27)
      | ~ v3_group_1(X27)
      | ~ v4_group_1(X27)
      | ~ l1_group_1(X27)
      | ~ m1_group_2(X28,X27)
      | k2_group_1(X28) = k2_group_1(X27) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).

cnf(c_0_20,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_14]) ).

cnf(c_0_21,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_15]) ).

cnf(c_0_22,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_15]) ).

cnf(c_0_23,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_15]) ).

fof(c_0_24,plain,
    ! [X26] :
      ( v3_struct_0(X26)
      | ~ l1_group_1(X26)
      | m1_subset_1(k2_group_1(X26),u1_struct_0(X26)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).

cnf(c_0_25,plain,
    ( l1_group_1(X1)
    | v3_struct_0(X2)
    | ~ m1_group_2(X1,X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_26,negated_conjecture,
    m1_group_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_27,negated_conjecture,
    l1_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_28,negated_conjecture,
    v3_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_29,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_30,plain,
    ( v3_struct_0(X2)
    | ~ v3_struct_0(X1)
    | ~ m1_group_2(X1,X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_31,plain,
    ( v3_struct_0(X1)
    | k2_group_1(X2) = k2_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_32,negated_conjecture,
    v4_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_33,plain,
    ( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_group_2(X2,X1)
    | ~ v1_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_20]),c_0_21]),c_0_22]),c_0_23]) ).

cnf(c_0_34,negated_conjecture,
    v1_group_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_35,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ~ v1_xboole_0(u1_struct_0(X1)) ),
    inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).

fof(c_0_36,plain,
    ! [X11,X12] :
      ( ~ m1_subset_1(X11,X12)
      | v1_xboole_0(X12)
      | r2_hidden(X11,X12) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).

cnf(c_0_37,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
    | ~ l1_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_38,negated_conjecture,
    l1_group_1(esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])]),c_0_29]) ).

cnf(c_0_39,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_26]),c_0_27]),c_0_28])]),c_0_29]) ).

cnf(c_0_40,negated_conjecture,
    k2_group_1(esk2_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_31,c_0_26]),c_0_27]),c_0_32]),c_0_28])]),c_0_29]) ).

cnf(c_0_41,negated_conjecture,
    ~ r2_hidden(k2_group_1(esk1_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_42,negated_conjecture,
    k1_funct_1(k1_latsubgr(esk1_0),esk2_0) = u1_struct_0(esk2_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_33,c_0_26]),c_0_34]),c_0_27]),c_0_32]),c_0_28])]),c_0_29]) ).

fof(c_0_43,plain,
    ! [X70] :
      ( ~ l1_group_1(X70)
      | l1_struct_0(X70) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])])]) ).

fof(c_0_44,plain,
    ! [X47] :
      ( v3_struct_0(X47)
      | ~ l1_struct_0(X47)
      | ~ v1_xboole_0(u1_struct_0(X47)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).

cnf(c_0_45,plain,
    ( v1_xboole_0(X2)
    | r2_hidden(X1,X2)
    | ~ m1_subset_1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_46,negated_conjecture,
    m1_subset_1(k2_group_1(esk1_0),u1_struct_0(esk2_0)),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]) ).

cnf(c_0_47,negated_conjecture,
    ~ r2_hidden(k2_group_1(esk1_0),u1_struct_0(esk2_0)),
    inference(rw,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_48,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_49,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_50,negated_conjecture,
    v1_xboole_0(u1_struct_0(esk2_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).

cnf(c_0_51,negated_conjecture,
    l1_struct_0(esk2_0),
    inference(spm,[status(thm)],[c_0_48,c_0_38]) ).

cnf(c_0_52,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]),c_0_39]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP641+1 : TPTP v8.2.0. Released v3.4.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n014.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    : 300
% 0.13/0.34  % DateTime   : Sun May 19 04:40:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  # Version: 3.1.0
% 0.20/0.50  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # new_bool_3 with pid 32738 completed with status 0
% 0.20/0.50  # Result found by new_bool_3
% 0.20/0.50  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGHSM-FFMM21-SFFFFFNN
% 0.20/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 163s (1) cores
% 0.20/0.50  # G-E--_200_B02_F1_SE_CS_SP_PI_S0S with pid 32741 completed with status 0
% 0.20/0.50  # Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S0S
% 0.20/0.50  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGHSM-FFMM21-SFFFFFNN
% 0.20/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 163s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.002 s
% 0.20/0.50  
% 0.20/0.50  # Proof found!
% 0.20/0.50  # SZS status Theorem
% 0.20/0.50  # SZS output start CNFRefutation
% See solution above
% 0.20/0.50  # Parsed axioms                        : 55
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 19
% 0.20/0.50  # Initial clauses                      : 58
% 0.20/0.50  # Removed in clause preprocessing      : 0
% 0.20/0.50  # Initial clauses in saturation        : 58
% 0.20/0.50  # Processed clauses                    : 95
% 0.20/0.50  # ...of these trivial                  : 0
% 0.20/0.50  # ...subsumed                          : 0
% 0.20/0.50  # ...remaining for further processing  : 95
% 0.20/0.50  # Other redundant clauses eliminated   : 1
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 0
% 0.20/0.50  # Backward-rewritten                   : 1
% 0.20/0.50  # Generated clauses                    : 90
% 0.20/0.50  # ...of the previous two non-redundant : 89
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 3
% 0.20/0.50  # Paramodulations                      : 89
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 1
% 0.20/0.50  # Disequality decompositions           : 0
% 0.20/0.50  # Total rewrite steps                  : 59
% 0.20/0.50  # ...of those cached                   : 48
% 0.20/0.50  # Propositional unsat checks           : 0
% 0.20/0.50  #    Propositional check models        : 0
% 0.20/0.50  #    Propositional check unsatisfiable : 0
% 0.20/0.50  #    Propositional clauses             : 0
% 0.20/0.50  #    Propositional clauses after purity: 0
% 0.20/0.50  #    Propositional unsat core size     : 0
% 0.20/0.50  #    Propositional preprocessing time  : 0.000
% 0.20/0.50  #    Propositional encoding time       : 0.000
% 0.20/0.50  #    Propositional solver time         : 0.000
% 0.20/0.50  #    Success case prop preproc time    : 0.000
% 0.20/0.50  #    Success case prop encoding time   : 0.000
% 0.20/0.50  #    Success case prop solver time     : 0.000
% 0.20/0.50  # Current number of processed clauses  : 93
% 0.20/0.50  #    Positive orientable unit clauses  : 40
% 0.20/0.50  #    Positive unorientable unit clauses: 0
% 0.20/0.50  #    Negative unit clauses             : 8
% 0.20/0.50  #    Non-unit-clauses                  : 45
% 0.20/0.50  # Current number of unprocessed clauses: 51
% 0.20/0.50  # ...number of literals in the above   : 104
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 1
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 636
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 72
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 3
% 0.20/0.50  # Unit Clause-clause subsumption calls : 264
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 2
% 0.20/0.50  # BW rewrite match successes           : 1
% 0.20/0.50  # Condensation attempts                : 0
% 0.20/0.50  # Condensation successes               : 0
% 0.20/0.50  # Termbank termtop insertions          : 5818
% 0.20/0.50  # Search garbage collected termcells   : 851
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.013 s
% 0.20/0.50  # System time              : 0.002 s
% 0.20/0.50  # Total time               : 0.015 s
% 0.20/0.50  # Maximum resident set size: 1884 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.016 s
% 0.20/0.50  # System time              : 0.004 s
% 0.20/0.50  # Total time               : 0.020 s
% 0.20/0.50  # Maximum resident set size: 1744 pages
% 0.20/0.50  % E---3.1 exiting
% 0.20/0.50  % E exiting
%------------------------------------------------------------------------------