TSTP Solution File: LAT356+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT356+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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 : Sun Jul 17 04:30:16 EDT 2022

% Result   : Theorem 24.69s 6.99s
% Output   : CNFRefutation 24.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   40 (  16 unt;   8 nHn;  40 RR)
%            Number of literals    :  180 (  10 equ; 137 neg)
%            Maximal clause size   :   23 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-4 aty)
%            Number of variables   :   34 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_894,plain,
    ( X1 = k2_waybel34(X2,X3,X4)
    | ~ l1_orders_2(X3)
    | ~ l1_orders_2(X2)
    | ~ v2_orders_2(X3)
    | ~ v2_orders_2(X2)
    | ~ v3_lattice3(X3)
    | ~ v3_lattice3(X2)
    | ~ v3_orders_2(X3)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X3)
    | ~ v4_orders_2(X2)
    | ~ v1_lattice3(X3)
    | ~ v1_lattice3(X2)
    | ~ v2_lattice3(X3)
    | ~ v2_lattice3(X2)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_1(X1)
    | ~ v18_waybel_0(X4,X3,X2)
    | ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
    | ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v3_waybel_1(k1_waybel_1(X2,X3,X1,X4),X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_894) ).

cnf(i_0_6653,plain,
    ( v3_struct_0(X1)
    | v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1)
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_6653) ).

cnf(i_0_797,plain,
    ( X1 = k1_waybel34(X2,X3,X4)
    | ~ l1_orders_2(X3)
    | ~ l1_orders_2(X2)
    | ~ v2_orders_2(X3)
    | ~ v2_orders_2(X2)
    | ~ v3_lattice3(X3)
    | ~ v3_lattice3(X2)
    | ~ v3_orders_2(X3)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X3)
    | ~ v4_orders_2(X2)
    | ~ v1_lattice3(X3)
    | ~ v1_lattice3(X2)
    | ~ v2_lattice3(X3)
    | ~ v2_lattice3(X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_1(X4)
    | ~ v17_waybel_0(X4,X2,X3)
    | ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2))
    | ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
    | ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v3_waybel_1(k1_waybel_1(X2,X3,X4,X1),X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_797) ).

cnf(i_0_73,plain,
    ( ~ l1_orders_2(X1)
    | ~ v3_struct_0(X1)
    | ~ v1_lattice3(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_73) ).

cnf(i_0_6881,negated_conjecture,
    v1_lattice3(esk847_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_6881) ).

cnf(i_0_6878,negated_conjecture,
    l1_orders_2(esk847_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_6878) ).

cnf(i_0_1367,plain,
    ( m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_struct_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_1367) ).

cnf(i_0_1877,plain,
    ( v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_1877) ).

cnf(i_0_2012,plain,
    ( v3_struct_0(X1)
    | v18_waybel_0(k7_grcat_1(X1),X1,X1)
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_2012) ).

cnf(i_0_5460,plain,
    ( v3_struct_0(X1)
    | v17_waybel_0(k7_grcat_1(X1),X1,X1)
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_5460) ).

cnf(i_0_1878,plain,
    ( v1_funct_1(k7_grcat_1(X1))
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_1878) ).

cnf(i_0_1388,plain,
    ( l1_struct_0(X1)
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_1388) ).

cnf(i_0_6877,negated_conjecture,
    ( k1_waybel34(esk847_0,esk847_0,k7_grcat_1(esk847_0)) != k7_grcat_1(esk847_0)
    | k2_waybel34(esk847_0,esk847_0,k7_grcat_1(esk847_0)) != k7_grcat_1(esk847_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_6877) ).

cnf(i_0_6880,negated_conjecture,
    v2_lattice3(esk847_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_6880) ).

cnf(i_0_6882,negated_conjecture,
    v4_orders_2(esk847_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_6882) ).

cnf(i_0_6883,negated_conjecture,
    v3_orders_2(esk847_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_6883) ).

cnf(i_0_6879,negated_conjecture,
    v3_lattice3(esk847_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_6879) ).

cnf(i_0_6884,negated_conjecture,
    v2_orders_2(esk847_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ujzhmm91/lgb.p',i_0_6884) ).

cnf(c_0_6903,plain,
    ( X1 = k2_waybel34(X2,X3,X4)
    | ~ l1_orders_2(X3)
    | ~ l1_orders_2(X2)
    | ~ v2_orders_2(X3)
    | ~ v2_orders_2(X2)
    | ~ v3_lattice3(X3)
    | ~ v3_lattice3(X2)
    | ~ v3_orders_2(X3)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X3)
    | ~ v4_orders_2(X2)
    | ~ v1_lattice3(X3)
    | ~ v1_lattice3(X2)
    | ~ v2_lattice3(X3)
    | ~ v2_lattice3(X2)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_1(X1)
    | ~ v18_waybel_0(X4,X3,X2)
    | ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
    | ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v3_waybel_1(k1_waybel_1(X2,X3,X1,X4),X2,X3) ),
    i_0_894 ).

cnf(c_0_6904,plain,
    ( v3_struct_0(X1)
    | v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1)
    | ~ l1_orders_2(X1) ),
    i_0_6653 ).

cnf(c_0_6905,plain,
    ( X1 = k1_waybel34(X2,X3,X4)
    | ~ l1_orders_2(X3)
    | ~ l1_orders_2(X2)
    | ~ v2_orders_2(X3)
    | ~ v2_orders_2(X2)
    | ~ v3_lattice3(X3)
    | ~ v3_lattice3(X2)
    | ~ v3_orders_2(X3)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X3)
    | ~ v4_orders_2(X2)
    | ~ v1_lattice3(X3)
    | ~ v1_lattice3(X2)
    | ~ v2_lattice3(X3)
    | ~ v2_lattice3(X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_1(X4)
    | ~ v17_waybel_0(X4,X2,X3)
    | ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2))
    | ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
    | ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v3_waybel_1(k1_waybel_1(X2,X3,X4,X1),X2,X3) ),
    i_0_797 ).

cnf(c_0_6906,plain,
    ( ~ l1_orders_2(X1)
    | ~ v3_struct_0(X1)
    | ~ v1_lattice3(X1) ),
    i_0_73 ).

cnf(c_0_6907,negated_conjecture,
    v1_lattice3(esk847_0),
    i_0_6881 ).

cnf(c_0_6908,negated_conjecture,
    l1_orders_2(esk847_0),
    i_0_6878 ).

cnf(c_0_6909,plain,
    ( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
    | v3_struct_0(X1)
    | ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ v18_waybel_0(k7_grcat_1(X1),X1,X1)
    | ~ v1_funct_1(k7_grcat_1(X1))
    | ~ v2_lattice3(X1)
    | ~ v1_lattice3(X1)
    | ~ v4_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v3_lattice3(X1)
    | ~ v2_orders_2(X1)
    | ~ l1_orders_2(X1) ),
    inference(spm,[status(thm)],[c_0_6903,c_0_6904]) ).

cnf(c_0_6910,plain,
    ( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
    | v3_struct_0(X1)
    | ~ v17_waybel_0(k7_grcat_1(X1),X1,X1)
    | ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ v1_funct_1(k7_grcat_1(X1))
    | ~ v2_lattice3(X1)
    | ~ v1_lattice3(X1)
    | ~ v4_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v3_lattice3(X1)
    | ~ v2_orders_2(X1)
    | ~ l1_orders_2(X1) ),
    inference(spm,[status(thm)],[c_0_6905,c_0_6904]) ).

cnf(c_0_6911,plain,
    ( m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_struct_0(X1) ),
    i_0_1367 ).

cnf(c_0_6912,plain,
    ( v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_orders_2(X1) ),
    i_0_1877 ).

cnf(c_0_6913,plain,
    ( v3_struct_0(X1)
    | v18_waybel_0(k7_grcat_1(X1),X1,X1)
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1) ),
    i_0_2012 ).

cnf(c_0_6914,plain,
    ( v3_struct_0(X1)
    | v17_waybel_0(k7_grcat_1(X1),X1,X1)
    | ~ l1_orders_2(X1) ),
    i_0_5460 ).

cnf(c_0_6915,plain,
    ( v1_funct_1(k7_grcat_1(X1))
    | ~ l1_orders_2(X1) ),
    i_0_1878 ).

cnf(c_0_6916,plain,
    ( l1_struct_0(X1)
    | ~ l1_orders_2(X1) ),
    i_0_1388 ).

cnf(c_0_6917,negated_conjecture,
    ( k1_waybel34(esk847_0,esk847_0,k7_grcat_1(esk847_0)) != k7_grcat_1(esk847_0)
    | k2_waybel34(esk847_0,esk847_0,k7_grcat_1(esk847_0)) != k7_grcat_1(esk847_0) ),
    i_0_6877 ).

cnf(c_0_6918,negated_conjecture,
    ~ v3_struct_0(esk847_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6906,c_0_6907]),c_0_6908])]) ).

cnf(c_0_6919,negated_conjecture,
    v2_lattice3(esk847_0),
    i_0_6880 ).

cnf(c_0_6920,negated_conjecture,
    v4_orders_2(esk847_0),
    i_0_6882 ).

cnf(c_0_6921,negated_conjecture,
    v3_orders_2(esk847_0),
    i_0_6883 ).

cnf(c_0_6922,negated_conjecture,
    v3_lattice3(esk847_0),
    i_0_6879 ).

cnf(c_0_6923,negated_conjecture,
    v2_orders_2(esk847_0),
    i_0_6884 ).

cnf(c_0_6924,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_6909,c_0_6910,c_0_6911,c_0_6912,c_0_6913,c_0_6914,c_0_6915,c_0_6916,c_0_6917,c_0_6918,c_0_6919,c_0_6907,c_0_6920,c_0_6921,c_0_6922,c_0_6923,c_0_6908]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : LAT356+3 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n006.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Thu Jun 30 09:37:12 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.90/1.10  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.90/1.10  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.90/1.10  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.90/1.10  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 24.69/6.99  # ENIGMATIC: Solved by autoschedule-lgb:
% 24.69/6.99  # No SInE strategy applied
% 24.69/6.99  # Trying AutoSched0 for 149 seconds
% 24.69/6.99  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 24.69/6.99  # and selection function SelectCQIPrecWNTNp.
% 24.69/6.99  #
% 24.69/6.99  # Preprocessing time       : 0.037 s
% 24.69/6.99  # Presaturation interreduction done
% 24.69/6.99  # SatCheck found unsatisfiable ground set
% 24.69/6.99  
% 24.69/6.99  # Proof found!
% 24.69/6.99  # SZS status Theorem
% 24.69/6.99  # SZS output start CNFRefutation
% See solution above
% 24.69/6.99  # Training examples: 0 positive, 0 negative
% 24.69/6.99  
% 24.69/6.99  # -------------------------------------------------
% 24.69/6.99  # User time                : 1.695 s
% 24.69/6.99  # System time              : 0.051 s
% 24.69/6.99  # Total time               : 1.746 s
% 24.69/6.99  # Maximum resident set size: 7128 pages
% 24.69/6.99  
%------------------------------------------------------------------------------