↑ Up

Enigma---0.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP641+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% 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  : 600s
% DateTime : Sat Jul 16 08:39:48 EDT 2022

% Result   : Theorem 10.71s 4.60s
% Output   : CNFRefutation 10.71s
% 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_4376,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-rlzim99n/lgb.p',i_0_4376) ).

cnf(i_0_2711,negated_conjecture,
    m1_group_2(esk448_0,esk447_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rlzim99n/lgb.p',i_0_2711) ).

cnf(i_0_2714,negated_conjecture,
    v4_group_1(esk447_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rlzim99n/lgb.p',i_0_2714) ).

cnf(i_0_2715,negated_conjecture,
    v3_group_1(esk447_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rlzim99n/lgb.p',i_0_2715) ).

cnf(i_0_2713,negated_conjecture,
    l1_group_1(esk447_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rlzim99n/lgb.p',i_0_2713) ).

cnf(i_0_2716,negated_conjecture,
    ~ v3_struct_0(esk447_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rlzim99n/lgb.p',i_0_2716) ).

cnf(i_0_1030,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-rlzim99n/lgb.p',i_0_1030) ).

cnf(i_0_1032,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-rlzim99n/lgb.p',i_0_1032) ).

cnf(i_0_945,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-rlzim99n/lgb.p',i_0_945) ).

cnf(i_0_3868,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-rlzim99n/lgb.p',i_0_3868) ).

cnf(i_0_1017,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rlzim99n/lgb.p',i_0_1017) ).

cnf(i_0_425,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-rlzim99n/lgb.p',i_0_425) ).

cnf(i_0_939,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-rlzim99n/lgb.p',i_0_939) ).

cnf(i_0_938,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-rlzim99n/lgb.p',i_0_938) ).

cnf(i_0_937,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-rlzim99n/lgb.p',i_0_937) ).

cnf(i_0_441,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-rlzim99n/lgb.p',i_0_441) ).

cnf(i_0_2712,negated_conjecture,
    v1_group_1(esk448_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rlzim99n/lgb.p',i_0_2712) ).

cnf(i_0_2710,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-rlzim99n/lgb.p',i_0_2710) ).

cnf(c_0_4395,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_4376 ).

cnf(c_0_4396,negated_conjecture,
    m1_group_2(esk448_0,esk447_0),
    i_0_2711 ).

cnf(c_0_4397,negated_conjecture,
    v4_group_1(esk447_0),
    i_0_2714 ).

cnf(c_0_4398,negated_conjecture,
    v3_group_1(esk447_0),
    i_0_2715 ).

cnf(c_0_4399,negated_conjecture,
    l1_group_1(esk447_0),
    i_0_2713 ).

cnf(c_0_4400,negated_conjecture,
    ~ v3_struct_0(esk447_0),
    i_0_2716 ).

cnf(c_0_4401,plain,
    ( l1_group_1(X1)
    | v3_struct_0(X2)
    | ~ l1_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ m1_group_2(X1,X2) ),
    i_0_1030 ).

cnf(c_0_4402,plain,
    ( v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v3_struct_0(X2)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    i_0_1032 ).

cnf(c_0_4403,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
    | ~ l1_group_1(X1) ),
    i_0_945 ).

cnf(c_0_4404,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_4395,c_0_4396]),c_0_4397]),c_0_4398]),c_0_4399])]),c_0_4400]) ).

cnf(c_0_4405,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_4401,c_0_4396]),c_0_4398]),c_0_4399])]),c_0_4400]) ).

cnf(c_0_4406,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_4402,c_0_4396]),c_0_4398]),c_0_4399])]),c_0_4400]) ).

cnf(c_0_4407,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X1,X2)
    | ~ l1_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_3868 ).

cnf(c_0_4408,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_4403,c_0_4404]),c_0_4405])]),c_0_4406]) ).

cnf(c_0_4409,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_4407,c_0_4408]),c_0_4406]) ).

cnf(c_0_4410,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    i_0_1017 ).

cnf(c_0_4411,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_425 ).

cnf(c_0_4412,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_939 ).

cnf(c_0_4413,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_938 ).

cnf(c_0_4414,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_937 ).

cnf(c_0_4415,plain,
    ( r2_hidden(X1,u1_struct_0(X2))
    | ~ l1_struct_0(X2)
    | ~ r1_rlvect_1(X2,X1) ),
    i_0_441 ).

cnf(c_0_4416,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_4409,c_0_4410]),c_0_4405])]) ).

cnf(c_0_4417,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_4411]),c_0_4412]),c_0_4413]),c_0_4414]) ).

cnf(c_0_4418,negated_conjecture,
    v1_group_1(esk448_0),
    i_0_2712 ).

cnf(c_0_4419,plain,
    ( r2_hidden(k2_group_1(esk447_0),u1_struct_0(esk448_0))
    | ~ l1_struct_0(esk448_0) ),
    inference(spm,[status(thm)],[c_0_4415,c_0_4416]) ).

cnf(c_0_4420,negated_conjecture,
    ~ r2_hidden(k2_group_1(esk447_0),k1_funct_1(k1_latsubgr(esk447_0),esk448_0)),
    i_0_2710 ).

cnf(c_0_4421,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_4417,c_0_4396]),c_0_4397]),c_0_4398]),c_0_4418]),c_0_4399])]),c_0_4400]) ).

cnf(c_0_4422,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_4419,c_0_4410]),c_0_4405])]) ).

cnf(c_0_4423,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4420,c_0_4421]),c_0_4422])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP641+3 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n011.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 10:13:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.71/0.92  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.92  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.71/0.92  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.71/0.92  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.71/4.60  # ENIGMATIC: Solved by autoschedule-lgb:
% 10.71/4.60  # No SInE strategy applied
% 10.71/4.60  # Trying AutoSched0 for 149 seconds
% 10.71/4.60  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 10.71/4.60  # and selection function SelectCQIPrecWNTNp.
% 10.71/4.60  #
% 10.71/4.60  # Preprocessing time       : 0.029 s
% 10.71/4.60  # Presaturation interreduction done
% 10.71/4.60  
% 10.71/4.60  # Proof found!
% 10.71/4.60  # SZS status Theorem
% 10.71/4.60  # SZS output start CNFRefutation
% See solution above
% 10.71/4.60  # Training examples: 0 positive, 0 negative
% 10.71/4.60  
% 10.71/4.60  # -------------------------------------------------
% 10.71/4.60  # User time                : 0.096 s
% 10.71/4.60  # System time              : 0.005 s
% 10.71/4.60  # Total time               : 0.100 s
% 10.71/4.60  # Maximum resident set size: 7124 pages
% 10.71/4.60  
%------------------------------------------------------------------------------