TSTP Solution File: GRP643+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP643+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n016.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 08:39:50 EDT 2022

% Result   : Theorem 32.55s 6.76s
% Output   : CNFRefutation 32.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   35 (  26 unt;   8 nHn;  35 RR)
%            Number of literals    :   94 (   0 equ;  57 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2126,negated_conjecture,
    ~ r2_hidden(k1_group_1(esk376_0,esk378_0,esk379_0),k1_funct_1(k1_latsubgr(esk376_0),esk377_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gmvj1cil/input.p',i_0_2126) ).

cnf(i_0_1998,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k1_funct_1(k1_latsubgr(X1),X3))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X3)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ r1_rlvect_1(X3,X2)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gmvj1cil/input.p',i_0_1998) ).

cnf(i_0_2131,negated_conjecture,
    m1_group_2(esk377_0,esk376_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gmvj1cil/input.p',i_0_2131) ).

cnf(i_0_2134,negated_conjecture,
    v4_group_1(esk376_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gmvj1cil/input.p',i_0_2134) ).

cnf(i_0_2135,negated_conjecture,
    v3_group_1(esk376_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gmvj1cil/input.p',i_0_2135) ).

cnf(i_0_2132,negated_conjecture,
    v1_group_1(esk377_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gmvj1cil/input.p',i_0_2132) ).

cnf(i_0_2133,negated_conjecture,
    l1_group_1(esk376_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gmvj1cil/input.p',i_0_2133) ).

cnf(i_0_2136,negated_conjecture,
    ~ v3_struct_0(esk376_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gmvj1cil/input.p',i_0_2136) ).

cnf(i_0_1999,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X2,X3)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X2)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X2,X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gmvj1cil/input.p',i_0_1999) ).

cnf(i_0_2127,negated_conjecture,
    r2_hidden(esk379_0,k1_funct_1(k1_latsubgr(esk376_0),esk377_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gmvj1cil/input.p',i_0_2127) ).

cnf(i_0_2129,negated_conjecture,
    m1_subset_1(esk379_0,u1_struct_0(esk376_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gmvj1cil/input.p',i_0_2129) ).

cnf(i_0_2128,negated_conjecture,
    r2_hidden(esk378_0,k1_funct_1(k1_latsubgr(esk376_0),esk377_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gmvj1cil/input.p',i_0_2128) ).

cnf(i_0_2130,negated_conjecture,
    m1_subset_1(esk378_0,u1_struct_0(esk376_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gmvj1cil/input.p',i_0_2130) ).

cnf(i_0_3237,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X2,k1_group_1(X1,X3,X4))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X2,X1)
    | ~ r1_rlvect_1(X2,X4)
    | ~ r1_rlvect_1(X2,X3)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gmvj1cil/input.p',i_0_3237) ).

cnf(i_0_645,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gmvj1cil/input.p',i_0_645) ).

cnf(c_0_3253,negated_conjecture,
    ~ r2_hidden(k1_group_1(esk376_0,esk378_0,esk379_0),k1_funct_1(k1_latsubgr(esk376_0),esk377_0)),
    i_0_2126 ).

cnf(c_0_3254,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k1_funct_1(k1_latsubgr(X1),X3))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X3)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ r1_rlvect_1(X3,X2)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_1998 ).

cnf(c_0_3255,negated_conjecture,
    m1_group_2(esk377_0,esk376_0),
    i_0_2131 ).

cnf(c_0_3256,negated_conjecture,
    v4_group_1(esk376_0),
    i_0_2134 ).

cnf(c_0_3257,negated_conjecture,
    v3_group_1(esk376_0),
    i_0_2135 ).

cnf(c_0_3258,negated_conjecture,
    v1_group_1(esk377_0),
    i_0_2132 ).

cnf(c_0_3259,negated_conjecture,
    l1_group_1(esk376_0),
    i_0_2133 ).

cnf(c_0_3260,negated_conjecture,
    ~ v3_struct_0(esk376_0),
    i_0_2136 ).

cnf(c_0_3261,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X2,X3)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X2)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X2,X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ),
    i_0_1999 ).

cnf(c_0_3262,negated_conjecture,
    r2_hidden(esk379_0,k1_funct_1(k1_latsubgr(esk376_0),esk377_0)),
    i_0_2127 ).

cnf(c_0_3263,negated_conjecture,
    m1_subset_1(esk379_0,u1_struct_0(esk376_0)),
    i_0_2129 ).

cnf(c_0_3264,negated_conjecture,
    r2_hidden(esk378_0,k1_funct_1(k1_latsubgr(esk376_0),esk377_0)),
    i_0_2128 ).

cnf(c_0_3265,negated_conjecture,
    m1_subset_1(esk378_0,u1_struct_0(esk376_0)),
    i_0_2130 ).

cnf(c_0_3266,negated_conjecture,
    ( ~ r1_rlvect_1(esk377_0,k1_group_1(esk376_0,esk378_0,esk379_0))
    | ~ m1_subset_1(k1_group_1(esk376_0,esk378_0,esk379_0),u1_struct_0(esk376_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_3253,c_0_3254]),c_0_3255]),c_0_3256]),c_0_3257]),c_0_3258]),c_0_3259])]),c_0_3260]) ).

cnf(c_0_3267,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X2,k1_group_1(X1,X3,X4))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X2,X1)
    | ~ r1_rlvect_1(X2,X4)
    | ~ r1_rlvect_1(X2,X3)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1)) ),
    i_0_3237 ).

cnf(c_0_3268,negated_conjecture,
    r1_rlvect_1(esk377_0,esk379_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(spm,[status(thm)],[c_0_3261,c_0_3262]),c_0_3263]),c_0_3255]),c_0_3256]),c_0_3257]),c_0_3258]),c_0_3259])]),c_0_3260]) ).

cnf(c_0_3269,negated_conjecture,
    r1_rlvect_1(esk377_0,esk378_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(spm,[status(thm)],[c_0_3261,c_0_3264]),c_0_3265]),c_0_3255]),c_0_3256]),c_0_3257]),c_0_3258]),c_0_3259])]),c_0_3260]) ).

cnf(c_0_3270,plain,
    ~ m1_subset_1(k1_group_1(esk376_0,esk378_0,esk379_0),u1_struct_0(esk376_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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(spm,[status(thm)],[c_0_3266,c_0_3267]),c_0_3263]),c_0_3265]),c_0_3255]),c_0_3256]),c_0_3257]),c_0_3259])]),c_0_3260]),c_0_3268]),c_0_3269])]) ).

cnf(c_0_3271,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_645 ).

cnf(c_0_3272,plain,
    $false,
    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_3270,c_0_3271]),c_0_3263]),c_0_3265]),c_0_3259])]),c_0_3260]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GRP643+2 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 12:05:48 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.50/0.68  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.68  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.50/0.68  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.50/0.68  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 32.55/6.76  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 32.55/6.76  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 55; version: 991; iters: 150)
% 32.55/6.76  # Preprocessing time       : 2.781 s
% 32.55/6.76  
% 32.55/6.76  # Proof found!
% 32.55/6.76  # SZS status Theorem
% 32.55/6.76  # SZS output start CNFRefutation
% See solution above
% 32.55/6.76  # Training examples: 0 positive, 0 negative
% 32.55/6.76  
% 32.55/6.76  # -------------------------------------------------
% 32.55/6.76  # User time                : 2.648 s
% 32.55/6.76  # System time              : 0.151 s
% 32.55/6.76  # Total time               : 2.799 s
% 32.55/6.76  # ...preprocessing         : 2.781 s
% 32.55/6.76  # ...main loop             : 0.018 s
% 32.55/6.76  # Maximum resident set size: 190092 pages
% 32.55/6.76  
%------------------------------------------------------------------------------