TSTP Solution File: GRP618+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP618+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 08:39:29 EDT 2022

% Result   : Theorem 66.06s 13.69s
% Output   : CNFRefutation 66.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   38 (  15 unt;  15 nHn;  38 RR)
%            Number of literals    :  150 (   0 equ;  99 neg)
%            Maximal clause size   :   11 (   3 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   :   38 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1438,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X2,k2_group_3(X1,X3,X4))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1)
    | ~ v1_group_3(X2,X1)
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X4,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bcrm574l/input.p',i_0_1438) ).

cnf(i_0_5520,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(X2,u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ m1_subset_1(X2,u1_struct_0(X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bcrm574l/input.p',i_0_5520) ).

cnf(i_0_3484,negated_conjecture,
    ( ~ v1_group_3(esk429_0,esk428_0)
    | ~ r1_rlvect_1(esk429_0,k2_group_3(esk428_0,esk431_0,esk430_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bcrm574l/input.p',i_0_3484) ).

cnf(i_0_3488,negated_conjecture,
    m1_group_2(esk429_0,esk428_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bcrm574l/input.p',i_0_3488) ).

cnf(i_0_3491,negated_conjecture,
    v3_group_1(esk428_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bcrm574l/input.p',i_0_3491) ).

cnf(i_0_3490,negated_conjecture,
    v4_group_1(esk428_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bcrm574l/input.p',i_0_3490) ).

cnf(i_0_3492,negated_conjecture,
    v1_group_1(esk428_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bcrm574l/input.p',i_0_3492) ).

cnf(i_0_3489,negated_conjecture,
    l1_group_1(esk428_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bcrm574l/input.p',i_0_3489) ).

cnf(i_0_3493,negated_conjecture,
    ~ v3_struct_0(esk428_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bcrm574l/input.p',i_0_3493) ).

cnf(i_0_3485,negated_conjecture,
    ( m1_subset_1(esk431_0,u1_struct_0(esk429_0))
    | ~ v1_group_3(esk429_0,esk428_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bcrm574l/input.p',i_0_3485) ).

cnf(i_0_3487,negated_conjecture,
    ( m1_subset_1(esk430_0,u1_struct_0(esk428_0))
    | ~ v1_group_3(esk429_0,esk428_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bcrm574l/input.p',i_0_3487) ).

cnf(i_0_1434,plain,
    ( v3_struct_0(X1)
    | v1_group_3(X2,X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1)
    | ~ r1_rlvect_1(X2,k2_group_3(X1,esk187_2(X1,X2),esk186_2(X1,X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bcrm574l/input.p',i_0_1434) ).

cnf(i_0_3483,negated_conjecture,
    ( v1_group_3(esk429_0,esk428_0)
    | r1_rlvect_1(esk429_0,k2_group_3(esk428_0,X1,X2))
    | ~ m1_subset_1(X1,u1_struct_0(esk428_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk429_0))
    | ~ m1_subset_1(X2,u1_struct_0(esk428_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bcrm574l/input.p',i_0_3483) ).

cnf(i_0_1437,plain,
    ( v3_struct_0(X1)
    | v1_group_3(X2,X1)
    | m1_subset_1(esk186_2(X1,X2),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bcrm574l/input.p',i_0_1437) ).

cnf(i_0_1435,plain,
    ( v3_struct_0(X1)
    | v1_group_3(X2,X1)
    | m1_subset_1(esk187_2(X1,X2),u1_struct_0(X2))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bcrm574l/input.p',i_0_1435) ).

cnf(i_0_1436,plain,
    ( v3_struct_0(X1)
    | v1_group_3(X2,X1)
    | m1_subset_1(esk187_2(X1,X2),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bcrm574l/input.p',i_0_1436) ).

cnf(c_0_5537,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X2,k2_group_3(X1,X3,X4))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1)
    | ~ v1_group_3(X2,X1)
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X4,u1_struct_0(X1)) ),
    i_0_1438 ).

cnf(c_0_5538,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(X2,u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ m1_subset_1(X2,u1_struct_0(X3)) ),
    i_0_5520 ).

cnf(c_0_5539,negated_conjecture,
    ( ~ v1_group_3(esk429_0,esk428_0)
    | ~ r1_rlvect_1(esk429_0,k2_group_3(esk428_0,esk431_0,esk430_0)) ),
    i_0_3484 ).

cnf(c_0_5540,plain,
    ( r1_rlvect_1(X1,k2_group_3(X2,X3,X4))
    | v3_struct_0(X2)
    | ~ v1_group_3(X1,X2)
    | ~ m1_group_2(X1,X2)
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v1_group_1(X2)
    | ~ l1_group_1(X2) ),
    inference(csr,[status(thm)],[c_0_5537,c_0_5538]) ).

cnf(c_0_5541,negated_conjecture,
    m1_group_2(esk429_0,esk428_0),
    i_0_3488 ).

cnf(c_0_5542,negated_conjecture,
    v3_group_1(esk428_0),
    i_0_3491 ).

cnf(c_0_5543,negated_conjecture,
    v4_group_1(esk428_0),
    i_0_3490 ).

cnf(c_0_5544,negated_conjecture,
    v1_group_1(esk428_0),
    i_0_3492 ).

cnf(c_0_5545,negated_conjecture,
    l1_group_1(esk428_0),
    i_0_3489 ).

cnf(c_0_5546,negated_conjecture,
    ~ v3_struct_0(esk428_0),
    i_0_3493 ).

cnf(c_0_5547,negated_conjecture,
    ( m1_subset_1(esk431_0,u1_struct_0(esk429_0))
    | ~ v1_group_3(esk429_0,esk428_0) ),
    i_0_3485 ).

cnf(c_0_5548,negated_conjecture,
    ( m1_subset_1(esk430_0,u1_struct_0(esk428_0))
    | ~ v1_group_3(esk429_0,esk428_0) ),
    i_0_3487 ).

cnf(c_0_5549,plain,
    ( v3_struct_0(X1)
    | v1_group_3(X2,X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1)
    | ~ r1_rlvect_1(X2,k2_group_3(X1,esk187_2(X1,X2),esk186_2(X1,X2))) ),
    i_0_1434 ).

cnf(c_0_5550,negated_conjecture,
    ( v1_group_3(esk429_0,esk428_0)
    | r1_rlvect_1(esk429_0,k2_group_3(esk428_0,X1,X2))
    | ~ m1_subset_1(X1,u1_struct_0(esk428_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk429_0))
    | ~ m1_subset_1(X2,u1_struct_0(esk428_0)) ),
    i_0_3483 ).

cnf(c_0_5551,negated_conjecture,
    ~ v1_group_3(esk429_0,esk428_0),
    inference(csr,[status(thm)],[inference(csr,[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(spm,[status(thm)],[c_0_5539,c_0_5540]),c_0_5541]),c_0_5542]),c_0_5543]),c_0_5544]),c_0_5545])]),c_0_5546]),c_0_5547]),c_0_5548]) ).

cnf(c_0_5552,negated_conjecture,
    ( ~ m1_subset_1(esk186_2(esk428_0,esk429_0),u1_struct_0(esk428_0))
    | ~ m1_subset_1(esk187_2(esk428_0,esk429_0),u1_struct_0(esk428_0))
    | ~ m1_subset_1(esk187_2(esk428_0,esk429_0),u1_struct_0(esk429_0)) ),
    inference(sr,[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(spm,[status(thm)],[c_0_5549,c_0_5550]),c_0_5541]),c_0_5542]),c_0_5543]),c_0_5544]),c_0_5545])]),c_0_5546]),c_0_5551]) ).

cnf(c_0_5553,plain,
    ( v3_struct_0(X1)
    | v1_group_3(X2,X1)
    | m1_subset_1(esk186_2(X1,X2),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    i_0_1437 ).

cnf(c_0_5554,plain,
    ( ~ m1_subset_1(esk187_2(esk428_0,esk429_0),u1_struct_0(esk428_0))
    | ~ m1_subset_1(esk187_2(esk428_0,esk429_0),u1_struct_0(esk429_0)) ),
    inference(sr,[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(spm,[status(thm)],[c_0_5552,c_0_5553]),c_0_5541]),c_0_5542]),c_0_5543]),c_0_5544]),c_0_5545])]),c_0_5551]),c_0_5546]) ).

cnf(c_0_5555,plain,
    ( v3_struct_0(X1)
    | v1_group_3(X2,X1)
    | m1_subset_1(esk187_2(X1,X2),u1_struct_0(X2))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    i_0_1435 ).

cnf(c_0_5556,plain,
    ~ m1_subset_1(esk187_2(esk428_0,esk429_0),u1_struct_0(esk428_0)),
    inference(sr,[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(spm,[status(thm)],[c_0_5554,c_0_5555]),c_0_5541]),c_0_5542]),c_0_5543]),c_0_5544]),c_0_5545])]),c_0_5551]),c_0_5546]) ).

cnf(c_0_5557,plain,
    ( v3_struct_0(X1)
    | v1_group_3(X2,X1)
    | m1_subset_1(esk187_2(X1,X2),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    i_0_1436 ).

cnf(c_0_5558,plain,
    $false,
    inference(sr,[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(spm,[status(thm)],[c_0_5556,c_0_5557]),c_0_5541]),c_0_5542]),c_0_5543]),c_0_5544]),c_0_5545])]),c_0_5551]),c_0_5546]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GRP618+4 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.10/0.32  % Computer : n018.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 600
% 0.10/0.32  % DateTime : Mon Jun 13 12:43:03 EDT 2022
% 0.10/0.32  % CPUTime  : 
% 0.16/0.41  # ENIGMATIC: Selected SinE mode:
% 2.10/2.31  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.10/2.31  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 2.10/2.31  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 2.10/2.31  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 66.06/13.69  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 66.06/13.69  # 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: 60; version: 991; iters: 150)
% 66.06/13.69  # Preprocessing time       : 6.479 s
% 66.06/13.69  
% 66.06/13.69  # Proof found!
% 66.06/13.69  # SZS status Theorem
% 66.06/13.69  # SZS output start CNFRefutation
% See solution above
% 66.06/13.69  # Training examples: 0 positive, 0 negative
% 66.06/13.69  
% 66.06/13.69  # -------------------------------------------------
% 66.06/13.69  # User time                : 6.374 s
% 66.06/13.69  # System time              : 0.179 s
% 66.06/13.69  # Total time               : 6.553 s
% 66.06/13.69  # ...preprocessing         : 6.479 s
% 66.06/13.69  # ...main loop             : 0.073 s
% 66.06/13.69  # Maximum resident set size: 202792 pages
% 66.06/13.69  
%------------------------------------------------------------------------------