TSTP Solution File: LAT347+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT347+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 04:30:05 EDT 2022

% Result   : Theorem 13.52s 6.52s
% Output   : CNFRefutation 13.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   54 (  26 unt;   6 nHn;  52 RR)
%            Number of literals    :  143 (  10 equ;  94 neg)
%            Maximal clause size   :   11 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :   30 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7594,plain,
    ( k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X2) = k3_tarski(X2)
    | v1_xboole_0(X2)
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v1_lattice3(X1)
    | ~ v1_yellow_0(X1)
    | ~ v1_waybel_0(X2,k2_yellow_1(k8_waybel_0(X1)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_7594) ).

cnf(i_0_4542,plain,
    u1_struct_0(k2_yellow_1(X1)) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_4542) ).

cnf(i_0_7357,plain,
    ( k8_waybel_0(k7_lattice3(X1)) = k9_waybel_0(X1)
    | v3_struct_0(X1)
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_7357) ).

cnf(i_0_1351,plain,
    ( l1_orders_2(k7_lattice3(X1))
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_1351) ).

cnf(i_0_6492,plain,
    ( v2_orders_2(X1)
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(k7_lattice3(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_6492) ).

cnf(i_0_7203,plain,
    ( v3_orders_2(X1)
    | ~ l1_orders_2(X1)
    | ~ v3_orders_2(k7_lattice3(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_7203) ).

cnf(i_0_4505,negated_conjecture,
    m1_subset_1(esk547_0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(esk546_0))))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_4505) ).

cnf(i_0_172,plain,
    ( ~ l1_orders_2(X1)
    | ~ v3_struct_0(X1)
    | ~ v2_lattice3(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_172) ).

cnf(i_0_4509,negated_conjecture,
    v2_lattice3(esk546_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_4509) ).

cnf(i_0_4508,negated_conjecture,
    l1_orders_2(esk546_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_4508) ).

cnf(i_0_4506,negated_conjecture,
    v1_waybel_0(esk547_0,k2_yellow_1(k9_waybel_0(esk546_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_4506) ).

cnf(i_0_4504,negated_conjecture,
    k1_yellow_0(k2_yellow_1(k9_waybel_0(esk546_0)),esk547_0) != k3_tarski(esk547_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_4504) ).

cnf(i_0_4507,negated_conjecture,
    ~ v1_xboole_0(esk547_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_4507) ).

cnf(i_0_5470,plain,
    ( v1_yellow_0(k7_lattice3(X1))
    | ~ l1_orders_2(X1)
    | ~ v2_yellow_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_5470) ).

cnf(i_0_4510,negated_conjecture,
    v2_yellow_0(esk546_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_4510) ).

cnf(i_0_4098,plain,
    ( v1_lattice3(k7_lattice3(X1))
    | ~ l1_orders_2(X1)
    | ~ v2_lattice3(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_4098) ).

cnf(i_0_6937,plain,
    ( v4_orders_2(k7_lattice3(X1))
    | ~ l1_orders_2(X1)
    | ~ v4_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_6937) ).

cnf(i_0_4511,negated_conjecture,
    v4_orders_2(esk546_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_4511) ).

cnf(i_0_6493,plain,
    ( v2_orders_2(k7_lattice3(X1))
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_6493) ).

cnf(i_0_4513,negated_conjecture,
    v2_orders_2(esk546_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_4513) ).

cnf(i_0_7204,plain,
    ( v3_orders_2(k7_lattice3(X1))
    | ~ l1_orders_2(X1)
    | ~ v3_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_7204) ).

cnf(i_0_4512,negated_conjecture,
    v3_orders_2(esk546_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ialjb1yf/lgb.p',i_0_4512) ).

cnf(c_0_7617,plain,
    ( k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X2) = k3_tarski(X2)
    | v1_xboole_0(X2)
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v1_lattice3(X1)
    | ~ v1_yellow_0(X1)
    | ~ v1_waybel_0(X2,k2_yellow_1(k8_waybel_0(X1)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))) ),
    i_0_7594 ).

cnf(c_0_7618,plain,
    u1_struct_0(k2_yellow_1(X1)) = X1,
    i_0_4542 ).

cnf(c_0_7619,plain,
    ( k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X2) = k3_tarski(X2)
    | v1_xboole_0(X2)
    | ~ v1_yellow_0(X1)
    | ~ v1_lattice3(X1)
    | ~ v4_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ l1_orders_2(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(k8_waybel_0(X1)))
    | ~ v1_waybel_0(X2,k2_yellow_1(k8_waybel_0(X1))) ),
    inference(rw,[status(thm)],[c_0_7617,c_0_7618]) ).

cnf(c_0_7620,plain,
    ( k8_waybel_0(k7_lattice3(X1)) = k9_waybel_0(X1)
    | v3_struct_0(X1)
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1) ),
    i_0_7357 ).

cnf(c_0_7621,plain,
    ( l1_orders_2(k7_lattice3(X1))
    | ~ l1_orders_2(X1) ),
    i_0_1351 ).

cnf(c_0_7622,plain,
    ( v2_orders_2(X1)
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(k7_lattice3(X1)) ),
    i_0_6492 ).

cnf(c_0_7623,plain,
    ( v3_orders_2(X1)
    | ~ l1_orders_2(X1)
    | ~ v3_orders_2(k7_lattice3(X1)) ),
    i_0_7203 ).

cnf(c_0_7624,negated_conjecture,
    m1_subset_1(esk547_0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(esk546_0))))),
    i_0_4505 ).

cnf(c_0_7625,plain,
    ( ~ l1_orders_2(X1)
    | ~ v3_struct_0(X1)
    | ~ v2_lattice3(X1) ),
    i_0_172 ).

cnf(c_0_7626,negated_conjecture,
    v2_lattice3(esk546_0),
    i_0_4509 ).

cnf(c_0_7627,negated_conjecture,
    l1_orders_2(esk546_0),
    i_0_4508 ).

cnf(c_0_7628,plain,
    ( k1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),X2) = k3_tarski(X2)
    | v3_struct_0(X1)
    | v1_xboole_0(X2)
    | ~ v1_yellow_0(k7_lattice3(X1))
    | ~ v1_lattice3(k7_lattice3(X1))
    | ~ v4_orders_2(k7_lattice3(X1))
    | ~ v3_orders_2(k7_lattice3(X1))
    | ~ v2_orders_2(k7_lattice3(X1))
    | ~ l1_orders_2(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(k9_waybel_0(X1)))
    | ~ v1_waybel_0(X2,k2_yellow_1(k9_waybel_0(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7619,c_0_7620]),c_0_7621]),c_0_7622]),c_0_7623]) ).

cnf(c_0_7629,negated_conjecture,
    v1_waybel_0(esk547_0,k2_yellow_1(k9_waybel_0(esk546_0))),
    i_0_4506 ).

cnf(c_0_7630,negated_conjecture,
    m1_subset_1(esk547_0,k1_zfmisc_1(k9_waybel_0(esk546_0))),
    inference(rw,[status(thm)],[c_0_7624,c_0_7618]) ).

cnf(c_0_7631,negated_conjecture,
    k1_yellow_0(k2_yellow_1(k9_waybel_0(esk546_0)),esk547_0) != k3_tarski(esk547_0),
    i_0_4504 ).

cnf(c_0_7632,negated_conjecture,
    ~ v3_struct_0(esk546_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7625,c_0_7626]),c_0_7627])]) ).

cnf(c_0_7633,negated_conjecture,
    ~ v1_xboole_0(esk547_0),
    i_0_4507 ).

cnf(c_0_7634,negated_conjecture,
    ( ~ v1_yellow_0(k7_lattice3(esk546_0))
    | ~ v1_lattice3(k7_lattice3(esk546_0))
    | ~ v4_orders_2(k7_lattice3(esk546_0))
    | ~ v3_orders_2(k7_lattice3(esk546_0))
    | ~ v2_orders_2(k7_lattice3(esk546_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7628,c_0_7629]),c_0_7627]),c_0_7630])]),c_0_7631]),c_0_7632]),c_0_7633]) ).

cnf(c_0_7635,plain,
    ( v1_yellow_0(k7_lattice3(X1))
    | ~ l1_orders_2(X1)
    | ~ v2_yellow_0(X1) ),
    i_0_5470 ).

cnf(c_0_7636,negated_conjecture,
    v2_yellow_0(esk546_0),
    i_0_4510 ).

cnf(c_0_7637,plain,
    ( ~ v1_lattice3(k7_lattice3(esk546_0))
    | ~ v4_orders_2(k7_lattice3(esk546_0))
    | ~ v3_orders_2(k7_lattice3(esk546_0))
    | ~ v2_orders_2(k7_lattice3(esk546_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7634,c_0_7635]),c_0_7636]),c_0_7627])]) ).

cnf(c_0_7638,plain,
    ( v1_lattice3(k7_lattice3(X1))
    | ~ l1_orders_2(X1)
    | ~ v2_lattice3(X1) ),
    i_0_4098 ).

cnf(c_0_7639,plain,
    ( ~ v4_orders_2(k7_lattice3(esk546_0))
    | ~ v3_orders_2(k7_lattice3(esk546_0))
    | ~ v2_orders_2(k7_lattice3(esk546_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7637,c_0_7638]),c_0_7626]),c_0_7627])]) ).

cnf(c_0_7640,plain,
    ( v4_orders_2(k7_lattice3(X1))
    | ~ l1_orders_2(X1)
    | ~ v4_orders_2(X1) ),
    i_0_6937 ).

cnf(c_0_7641,negated_conjecture,
    v4_orders_2(esk546_0),
    i_0_4511 ).

cnf(c_0_7642,plain,
    ( ~ v3_orders_2(k7_lattice3(esk546_0))
    | ~ v2_orders_2(k7_lattice3(esk546_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7639,c_0_7640]),c_0_7641]),c_0_7627])]) ).

cnf(c_0_7643,plain,
    ( v2_orders_2(k7_lattice3(X1))
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1) ),
    i_0_6493 ).

cnf(c_0_7644,negated_conjecture,
    v2_orders_2(esk546_0),
    i_0_4513 ).

cnf(c_0_7645,plain,
    ~ v3_orders_2(k7_lattice3(esk546_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7642,c_0_7643]),c_0_7644]),c_0_7627])]) ).

cnf(c_0_7646,plain,
    ( v3_orders_2(k7_lattice3(X1))
    | ~ l1_orders_2(X1)
    | ~ v3_orders_2(X1) ),
    i_0_7204 ).

cnf(c_0_7647,negated_conjecture,
    v3_orders_2(esk546_0),
    i_0_4512 ).

cnf(c_0_7648,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7645,c_0_7646]),c_0_7647]),c_0_7627])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LAT347+4 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n010.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 13:22:28 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 1.76/1.96  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.76/1.96  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.76/1.96  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.76/1.96  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 13.52/6.52  # ENIGMATIC: Solved by autoschedule-lgb:
% 13.52/6.52  # No SInE strategy applied
% 13.52/6.52  # Trying AutoSched0 for 148 seconds
% 13.52/6.52  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 13.52/6.52  # and selection function SelectCQIPrecWNTNp.
% 13.52/6.52  #
% 13.52/6.52  # Preprocessing time       : 0.018 s
% 13.52/6.52  # Presaturation interreduction done
% 13.52/6.52  
% 13.52/6.52  # Proof found!
% 13.52/6.52  # SZS status Theorem
% 13.52/6.52  # SZS output start CNFRefutation
% See solution above
% 13.52/6.52  # Training examples: 0 positive, 0 negative
% 13.52/6.52  
% 13.52/6.52  # -------------------------------------------------
% 13.52/6.52  # User time                : 0.231 s
% 13.52/6.52  # System time              : 0.012 s
% 13.52/6.52  # Total time               : 0.243 s
% 13.52/6.52  # Maximum resident set size: 7128 pages
% 13.52/6.52  
%------------------------------------------------------------------------------