TSTP Solution File: GRP641+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP641+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n003.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 08:39:48 EDT 2022

% Result   : Theorem 13.95s 6.66s
% Output   : CNFRefutation 13.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   47 (  22 unt;  17 nHn;  47 RR)
%            Number of literals    :  141 (   9 equ;  82 neg)
%            Maximal clause size   :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   38 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4818,plain,
    ( k2_group_1(X1) = k2_group_1(X2)
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_4818) ).

cnf(i_0_2713,negated_conjecture,
    m1_group_2(esk448_0,esk447_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_2713) ).

cnf(i_0_2716,negated_conjecture,
    v4_group_1(esk447_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_2716) ).

cnf(i_0_2717,negated_conjecture,
    v3_group_1(esk447_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_2717) ).

cnf(i_0_2715,negated_conjecture,
    l1_group_1(esk447_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_2715) ).

cnf(i_0_2718,negated_conjecture,
    ~ v3_struct_0(esk447_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_2718) ).

cnf(i_0_880,plain,
    ( l1_group_1(X1)
    | v3_struct_0(X2)
    | ~ l1_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ m1_group_2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_880) ).

cnf(i_0_882,plain,
    ( v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v3_struct_0(X2)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_882) ).

cnf(i_0_801,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
    | ~ l1_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_801) ).

cnf(i_0_4278,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X1,X2)
    | ~ l1_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_4278) ).

cnf(i_0_865,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_865) ).

cnf(i_0_288,plain,
    ( k1_funct_1(X1,X2) = u1_struct_0(X2)
    | v3_struct_0(X3)
    | X1 != k1_latsubgr(X3)
    | ~ l1_group_1(X3)
    | ~ v1_group_1(X2)
    | ~ v1_funct_1(X1)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ m1_group_2(X2,X3)
    | ~ v1_funct_2(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_relset_1(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_288) ).

cnf(i_0_797,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(k1_latsubgr(X1))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_797) ).

cnf(i_0_796,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_796) ).

cnf(i_0_795,plain,
    ( v3_struct_0(X1)
    | m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_795) ).

cnf(i_0_310,plain,
    ( r2_hidden(X1,u1_struct_0(X2))
    | ~ l1_struct_0(X2)
    | ~ r1_rlvect_1(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_310) ).

cnf(i_0_2714,negated_conjecture,
    v1_group_1(esk448_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_2714) ).

cnf(i_0_2712,negated_conjecture,
    ~ r2_hidden(k2_group_1(esk447_0),k1_funct_1(k1_latsubgr(esk447_0),esk448_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kid8ots3/lgb.p',i_0_2712) ).

cnf(c_0_4837,plain,
    ( k2_group_1(X1) = k2_group_1(X2)
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    i_0_4818 ).

cnf(c_0_4838,negated_conjecture,
    m1_group_2(esk448_0,esk447_0),
    i_0_2713 ).

cnf(c_0_4839,negated_conjecture,
    v4_group_1(esk447_0),
    i_0_2716 ).

cnf(c_0_4840,negated_conjecture,
    v3_group_1(esk447_0),
    i_0_2717 ).

cnf(c_0_4841,negated_conjecture,
    l1_group_1(esk447_0),
    i_0_2715 ).

cnf(c_0_4842,negated_conjecture,
    ~ v3_struct_0(esk447_0),
    i_0_2718 ).

cnf(c_0_4843,plain,
    ( l1_group_1(X1)
    | v3_struct_0(X2)
    | ~ l1_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ m1_group_2(X1,X2) ),
    i_0_880 ).

cnf(c_0_4844,plain,
    ( v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v3_struct_0(X2)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    i_0_882 ).

cnf(c_0_4845,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
    | ~ l1_group_1(X1) ),
    i_0_801 ).

cnf(c_0_4846,negated_conjecture,
    k2_group_1(esk448_0) = k2_group_1(esk447_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_4837,c_0_4838]),c_0_4839]),c_0_4840]),c_0_4841])]),c_0_4842]) ).

cnf(c_0_4847,negated_conjecture,
    l1_group_1(esk448_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4843,c_0_4838]),c_0_4840]),c_0_4841])]),c_0_4842]) ).

cnf(c_0_4848,negated_conjecture,
    ~ v3_struct_0(esk448_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4844,c_0_4838]),c_0_4840]),c_0_4841])]),c_0_4842]) ).

cnf(c_0_4849,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X1,X2)
    | ~ l1_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_4278 ).

cnf(c_0_4850,plain,
    m1_subset_1(k2_group_1(esk447_0),u1_struct_0(esk448_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4845,c_0_4846]),c_0_4847])]),c_0_4848]) ).

cnf(c_0_4851,plain,
    ( r1_rlvect_1(esk448_0,k2_group_1(esk447_0))
    | ~ l1_struct_0(esk448_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4849,c_0_4850]),c_0_4848]) ).

cnf(c_0_4852,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    i_0_865 ).

cnf(c_0_4853,plain,
    ( k1_funct_1(X1,X2) = u1_struct_0(X2)
    | v3_struct_0(X3)
    | X1 != k1_latsubgr(X3)
    | ~ l1_group_1(X3)
    | ~ v1_group_1(X2)
    | ~ v1_funct_1(X1)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ m1_group_2(X2,X3)
    | ~ v1_funct_2(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_relset_1(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3))) ),
    i_0_288 ).

cnf(c_0_4854,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(k1_latsubgr(X1))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    i_0_797 ).

cnf(c_0_4855,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    i_0_796 ).

cnf(c_0_4856,plain,
    ( v3_struct_0(X1)
    | m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    i_0_795 ).

cnf(c_0_4857,plain,
    ( r2_hidden(X1,u1_struct_0(X2))
    | ~ l1_struct_0(X2)
    | ~ r1_rlvect_1(X2,X1) ),
    i_0_310 ).

cnf(c_0_4858,plain,
    r1_rlvect_1(esk448_0,k2_group_1(esk447_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4851,c_0_4852]),c_0_4847])]) ).

cnf(c_0_4859,plain,
    ( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v1_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_4853]),c_0_4854]),c_0_4855]),c_0_4856]) ).

cnf(c_0_4860,negated_conjecture,
    v1_group_1(esk448_0),
    i_0_2714 ).

cnf(c_0_4861,plain,
    ( r2_hidden(k2_group_1(esk447_0),u1_struct_0(esk448_0))
    | ~ l1_struct_0(esk448_0) ),
    inference(spm,[status(thm)],[c_0_4857,c_0_4858]) ).

cnf(c_0_4862,negated_conjecture,
    ~ r2_hidden(k2_group_1(esk447_0),k1_funct_1(k1_latsubgr(esk447_0),esk448_0)),
    i_0_2712 ).

cnf(c_0_4863,negated_conjecture,
    k1_funct_1(k1_latsubgr(esk447_0),esk448_0) = u1_struct_0(esk448_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_4859,c_0_4838]),c_0_4839]),c_0_4840]),c_0_4860]),c_0_4841])]),c_0_4842]) ).

cnf(c_0_4864,plain,
    r2_hidden(k2_group_1(esk447_0),u1_struct_0(esk448_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4861,c_0_4852]),c_0_4847])]) ).

cnf(c_0_4865,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4862,c_0_4863]),c_0_4864])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP641+4 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n003.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 : Tue Jun 14 01:12:15 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 1.50/1.68  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.50/1.68  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.50/1.68  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.50/1.68  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 13.95/6.66  # ENIGMATIC: Solved by autoschedule-lgb:
% 13.95/6.66  # No SInE strategy applied
% 13.95/6.66  # Trying AutoSched0 for 148 seconds
% 13.95/6.66  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 13.95/6.66  # and selection function SelectCQIPrecWNTNp.
% 13.95/6.66  #
% 13.95/6.66  # Preprocessing time       : 0.029 s
% 13.95/6.66  # Presaturation interreduction done
% 13.95/6.66  
% 13.95/6.66  # Proof found!
% 13.95/6.66  # SZS status Theorem
% 13.95/6.66  # SZS output start CNFRefutation
% See solution above
% 13.95/6.66  # Training examples: 0 positive, 0 negative
% 13.95/6.66  
% 13.95/6.66  # -------------------------------------------------
% 13.95/6.66  # User time                : 0.104 s
% 13.95/6.66  # System time              : 0.010 s
% 13.95/6.66  # Total time               : 0.114 s
% 13.95/6.66  # Maximum resident set size: 7124 pages
% 13.95/6.66  
%------------------------------------------------------------------------------