TSTP Solution File: GRP629+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP629+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 08:39:38 EDT 2022

% Result   : Theorem 11.99s 5.48s
% Output   : CNFRefutation 11.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   27 (  16 unt;   9 nHn;  27 RR)
%            Number of literals    :   86 (  15 equ;  57 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-5 aty)
%            Number of variables   :   24 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3633,negated_conjecture,
    k7_funct_2(u1_struct_0(esk625_0),u1_struct_0(esk625_0),u1_struct_0(esk625_0),k6_autgroup(esk625_0,k3_group_1(esk625_0,esk626_0)),k6_autgroup(esk625_0,esk626_0)) != k6_autgroup(esk625_0,k2_group_1(esk625_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u5sjkw9c/lgb.p',i_0_3633) ).

cnf(i_0_3464,plain,
    ( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3)) = k6_autgroup(X1,k1_group_1(X1,X2,X3))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_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-u5sjkw9c/lgb.p',i_0_3464) ).

cnf(i_0_3637,negated_conjecture,
    v3_group_1(esk625_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u5sjkw9c/lgb.p',i_0_3637) ).

cnf(i_0_3636,negated_conjecture,
    v4_group_1(esk625_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u5sjkw9c/lgb.p',i_0_3636) ).

cnf(i_0_3638,negated_conjecture,
    v1_group_1(esk625_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u5sjkw9c/lgb.p',i_0_3638) ).

cnf(i_0_3635,negated_conjecture,
    l1_group_1(esk625_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u5sjkw9c/lgb.p',i_0_3635) ).

cnf(i_0_3634,negated_conjecture,
    m1_subset_1(esk626_0,u1_struct_0(esk625_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u5sjkw9c/lgb.p',i_0_3634) ).

cnf(i_0_3639,negated_conjecture,
    ~ v3_struct_0(esk625_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u5sjkw9c/lgb.p',i_0_3639) ).

cnf(i_0_3796,plain,
    ( k1_group_1(X1,X2,k3_group_1(X1,X3)) = k1_group_1(X1,k3_group_1(X1,X3),X2)
    | v3_struct_0(X1)
    | k1_group_1(X1,X2,X3) != k1_group_1(X1,X3,X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_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-u5sjkw9c/lgb.p',i_0_3796) ).

cnf(i_0_1011,plain,
    ( k1_group_1(X1,X2,X3) = k2_group_1(X1)
    | v3_struct_0(X1)
    | X3 != k3_group_1(X1,X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_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-u5sjkw9c/lgb.p',i_0_1011) ).

cnf(i_0_1319,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u5sjkw9c/lgb.p',i_0_1319) ).

cnf(c_0_3808,negated_conjecture,
    k7_funct_2(u1_struct_0(esk625_0),u1_struct_0(esk625_0),u1_struct_0(esk625_0),k6_autgroup(esk625_0,k3_group_1(esk625_0,esk626_0)),k6_autgroup(esk625_0,esk626_0)) != k6_autgroup(esk625_0,k2_group_1(esk625_0)),
    i_0_3633 ).

cnf(c_0_3809,plain,
    ( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3)) = k6_autgroup(X1,k1_group_1(X1,X2,X3))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_3464 ).

cnf(c_0_3810,negated_conjecture,
    v3_group_1(esk625_0),
    i_0_3637 ).

cnf(c_0_3811,negated_conjecture,
    v4_group_1(esk625_0),
    i_0_3636 ).

cnf(c_0_3812,negated_conjecture,
    v1_group_1(esk625_0),
    i_0_3638 ).

cnf(c_0_3813,negated_conjecture,
    l1_group_1(esk625_0),
    i_0_3635 ).

cnf(c_0_3814,negated_conjecture,
    m1_subset_1(esk626_0,u1_struct_0(esk625_0)),
    i_0_3634 ).

cnf(c_0_3815,negated_conjecture,
    ~ v3_struct_0(esk625_0),
    i_0_3639 ).

cnf(c_0_3816,negated_conjecture,
    ( k6_autgroup(esk625_0,k1_group_1(esk625_0,k3_group_1(esk625_0,esk626_0),esk626_0)) != k6_autgroup(esk625_0,k2_group_1(esk625_0))
    | ~ m1_subset_1(k3_group_1(esk625_0,esk626_0),u1_struct_0(esk625_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_3808,c_0_3809]),c_0_3810]),c_0_3811]),c_0_3812]),c_0_3813]),c_0_3814])]),c_0_3815]) ).

cnf(c_0_3817,plain,
    ( k1_group_1(X1,X2,k3_group_1(X1,X3)) = k1_group_1(X1,k3_group_1(X1,X3),X2)
    | v3_struct_0(X1)
    | k1_group_1(X1,X2,X3) != k1_group_1(X1,X3,X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_3796 ).

cnf(c_0_3818,plain,
    ( k1_group_1(X1,X2,X3) = k2_group_1(X1)
    | v3_struct_0(X1)
    | X3 != k3_group_1(X1,X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_1011 ).

cnf(c_0_3819,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_1319 ).

cnf(c_0_3820,plain,
    ( k6_autgroup(esk625_0,k1_group_1(esk625_0,esk626_0,k3_group_1(esk625_0,esk626_0))) != k6_autgroup(esk625_0,k2_group_1(esk625_0))
    | ~ m1_subset_1(k3_group_1(esk625_0,esk626_0),u1_struct_0(esk625_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_3816,c_0_3817]),c_0_3810]),c_0_3811]),c_0_3813]),c_0_3814])]),c_0_3815]) ).

cnf(c_0_3821,plain,
    ( k1_group_1(X1,X2,k3_group_1(X1,X2)) = k2_group_1(X1)
    | v3_struct_0(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_3818]),c_0_3819]) ).

cnf(c_0_3822,plain,
    ~ m1_subset_1(k3_group_1(esk625_0,esk626_0),u1_struct_0(esk625_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_3820,c_0_3821]),c_0_3810]),c_0_3811]),c_0_3813]),c_0_3814])]),c_0_3815]) ).

cnf(c_0_3823,plain,
    $false,
    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_3822,c_0_3819]),c_0_3810]),c_0_3811]),c_0_3813]),c_0_3814])]),c_0_3815]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP629+3 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n024.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 : Mon Jun 13 04:18:07 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.68/0.88  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.88  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.68/0.88  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.68/0.88  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 11.99/5.48  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.99/5.48  # No SInE strategy applied
% 11.99/5.48  # Trying AutoSched0 for 149 seconds
% 11.99/5.48  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 11.99/5.48  # and selection function SelectMaxLComplexAvoidPosPred.
% 11.99/5.48  #
% 11.99/5.48  # Preprocessing time       : 0.021 s
% 11.99/5.48  
% 11.99/5.48  # Proof found!
% 11.99/5.48  # SZS status Theorem
% 11.99/5.48  # SZS output start CNFRefutation
% See solution above
% 11.99/5.48  # Training examples: 0 positive, 0 negative
% 11.99/5.48  
% 11.99/5.48  # -------------------------------------------------
% 11.99/5.48  # User time                : 0.053 s
% 11.99/5.48  # System time              : 0.008 s
% 11.99/5.48  # Total time               : 0.061 s
% 11.99/5.48  # Maximum resident set size: 7132 pages
% 11.99/5.48  
%------------------------------------------------------------------------------