TSTP Solution File: SWW474+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW474+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 : Thu Jul 21 00:02:24 EDT 2022

% Result   : Theorem 7.77s 2.68s
% Output   : CNFRefutation 7.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   50 (  25 unt;   8 nHn;  35 RR)
%            Number of literals    :   86 (  26 equ;  32 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  13 con; 0-2 aty)
%            Number of variables   :   51 (  20 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1307,plain,
    ( X1 = fFalse
    | X1 = fTrue
    | ~ is_bool(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eko7whmw/lgb.p',i_0_1307) ).

cnf(i_0_1181,hypothesis,
    is_bool(hAPP_f1760790145l_bool(X1,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eko7whmw/lgb.p',i_0_1181) ).

cnf(i_0_174,plain,
    ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
    | ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eko7whmw/lgb.p',i_0_174) ).

cnf(i_0_45,plain,
    hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eko7whmw/lgb.p',i_0_45) ).

cnf(i_0_8,negated_conjecture,
    ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eko7whmw/lgb.p',i_0_8) ).

cnf(i_0_9,plain,
    hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),bot_bo1055319631e_bool)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eko7whmw/lgb.p',i_0_9) ).

cnf(i_0_592,plain,
    ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
    | ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X2))
    | ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eko7whmw/lgb.p',i_0_592) ).

cnf(i_0_532,plain,
    hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eko7whmw/lgb.p',i_0_532) ).

cnf(i_0_1088,plain,
    ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
    | ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eko7whmw/lgb.p',i_0_1088) ).

cnf(i_0_1296,plain,
    ~ hBOOL(fFalse),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eko7whmw/lgb.p',i_0_1296) ).

cnf(i_0_829,plain,
    ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))
    | ~ hBOOL(hoare_298929751gleton)
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hAPP_com_bool(wt,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eko7whmw/lgb.p',i_0_829) ).

cnf(i_0_1,hypothesis,
    hBOOL(hoare_298929751gleton),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eko7whmw/lgb.p',i_0_1) ).

cnf(i_0_2,hypothesis,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eko7whmw/lgb.p',i_0_2) ).

cnf(i_0_199,plain,
    ( hBOOL(hAPP_com_bool(wt,X1))
    | hAPP_p799580910on_com(body,X2) != some_com(X1)
    | ~ hBOOL(wT_bodies) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eko7whmw/lgb.p',i_0_199) ).

cnf(i_0_1149,hypothesis,
    is_bool(wT_bodies),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eko7whmw/lgb.p',i_0_1149) ).

cnf(i_0_6,hypothesis,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eko7whmw/lgb.p',i_0_6) ).

cnf(c_0_1324,plain,
    ( X1 = fFalse
    | X1 = fTrue
    | ~ is_bool(X1) ),
    i_0_1307 ).

cnf(c_0_1325,hypothesis,
    is_bool(hAPP_f1760790145l_bool(X1,X2)),
    i_0_1181 ).

cnf(c_0_1326,plain,
    ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
    | ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
    i_0_174 ).

cnf(c_0_1327,plain,
    hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X1)),
    i_0_45 ).

cnf(c_0_1328,negated_conjecture,
    ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
    i_0_8 ).

cnf(c_0_1329,hypothesis,
    ( hAPP_f1760790145l_bool(X1,X2) = fTrue
    | hAPP_f1760790145l_bool(X1,X2) = fFalse ),
    inference(spm,[status(thm)],[c_0_1324,c_0_1325]) ).

cnf(c_0_1330,plain,
    hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),bot_bo1055319631e_bool)),
    i_0_9 ).

cnf(c_0_1331,plain,
    ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
    | ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X2))
    | ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1)) ),
    i_0_592 ).

cnf(c_0_1332,plain,
    hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X1)),
    i_0_532 ).

cnf(c_0_1333,plain,
    ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
    | ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2))) ),
    i_0_1088 ).

cnf(c_0_1334,plain,
    hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X1)),
    inference(spm,[status(thm)],[c_0_1326,c_0_1327]) ).

cnf(c_0_1335,negated_conjecture,
    ( hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)) = fFalse
    | ~ hBOOL(fTrue) ),
    inference(spm,[status(thm)],[c_0_1328,c_0_1329]) ).

cnf(c_0_1336,plain,
    ( hAPP_f1760790145l_bool(hoare_659004819_state(X1),bot_bo1055319631e_bool) = fFalse
    | hBOOL(fTrue) ),
    inference(spm,[status(thm)],[c_0_1330,c_0_1329]) ).

cnf(c_0_1337,plain,
    ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
    | ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),X2)) ),
    inference(spm,[status(thm)],[c_0_1331,c_0_1332]) ).

cnf(c_0_1338,plain,
    hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X2)),
    inference(spm,[status(thm)],[c_0_1333,c_0_1334]) ).

cnf(c_0_1339,negated_conjecture,
    ( hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)) = fFalse
    | hAPP_f1760790145l_bool(hoare_659004819_state(X1),bot_bo1055319631e_bool) = fFalse ),
    inference(spm,[status(thm)],[c_0_1335,c_0_1336]) ).

cnf(c_0_1340,plain,
    ~ hBOOL(fFalse),
    i_0_1296 ).

cnf(c_0_1341,plain,
    ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))
    | ~ hBOOL(hoare_298929751gleton)
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hAPP_com_bool(wt,X1)) ),
    i_0_829 ).

cnf(c_0_1342,hypothesis,
    hBOOL(hoare_298929751gleton),
    i_0_1 ).

cnf(c_0_1343,hypothesis,
    hBOOL(wT_bodies),
    i_0_2 ).

cnf(c_0_1344,plain,
    ( hBOOL(hAPP_com_bool(wt,X1))
    | hAPP_p799580910on_com(body,X2) != some_com(X1)
    | ~ hBOOL(wT_bodies) ),
    i_0_199 ).

cnf(c_0_1345,hypothesis,
    ( hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),X1) = fFalse
    | hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),X1))
    | ~ hBOOL(fTrue) ),
    inference(spm,[status(thm)],[c_0_1337,c_0_1329]) ).

cnf(c_0_1346,plain,
    hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)) = fFalse,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1338,c_0_1339]),c_0_1340]) ).

cnf(c_0_1347,hypothesis,
    is_bool(wT_bodies),
    i_0_1149 ).

cnf(c_0_1348,plain,
    ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))
    | ~ hBOOL(hAPP_com_bool(wt,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1341,c_0_1342]),c_0_1343])]) ).

cnf(c_0_1349,plain,
    ( hBOOL(hAPP_com_bool(wt,X1))
    | hAPP_p799580910on_com(body,X2) != some_com(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1344,c_0_1343])]) ).

cnf(c_0_1350,plain,
    ( hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)) = fFalse
    | ~ hBOOL(fTrue) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1345,c_0_1346]),c_0_1340]) ).

cnf(c_0_1351,hypothesis,
    ( fTrue = wT_bodies
    | wT_bodies = fFalse ),
    inference(spm,[status(thm)],[c_0_1324,c_0_1347]) ).

cnf(c_0_1352,plain,
    ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))
    | hAPP_p799580910on_com(body,X2) != some_com(X1) ),
    inference(spm,[status(thm)],[c_0_1348,c_0_1349]) ).

cnf(c_0_1353,hypothesis,
    ( hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)) = fFalse
    | wT_bodies = fFalse ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1350,c_0_1351]),c_0_1343])]) ).

cnf(c_0_1354,plain,
    ( wT_bodies = fFalse
    | hAPP_p799580910on_com(body,X1) != some_com(y) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1352,c_0_1353]),c_0_1340]) ).

cnf(c_0_1355,hypothesis,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    i_0_6 ).

cnf(c_0_1356,hypothesis,
    wT_bodies = fFalse,
    inference(spm,[status(thm)],[c_0_1354,c_0_1355]) ).

cnf(c_0_1357,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1343,c_0_1356]),c_0_1340]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : SWW474+2 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Sun Jun  5 12:30:35 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.15/0.39  # ENIGMATIC: Selected SinE mode:
% 0.15/0.42  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.15/0.42  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.15/0.42  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.77/2.68  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.77/2.68  # No SInE strategy applied
% 7.77/2.68  # Trying AutoSched0 for 150 seconds
% 7.77/2.68  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S026I
% 7.77/2.68  # and selection function SelectOptimalRestrNDepth2.
% 7.77/2.68  #
% 7.77/2.68  # Preprocessing time       : 0.014 s
% 7.77/2.68  # Presaturation interreduction done
% 7.77/2.68  
% 7.77/2.68  # Proof found!
% 7.77/2.68  # SZS status Theorem
% 7.77/2.68  # SZS output start CNFRefutation
% See solution above
% 7.77/2.68  # Training examples: 0 positive, 0 negative
% 7.77/2.68  
% 7.77/2.68  # -------------------------------------------------
% 7.77/2.68  # User time                : 0.025 s
% 7.77/2.68  # System time              : 0.005 s
% 7.77/2.68  # Total time               : 0.030 s
% 7.77/2.68  # Maximum resident set size: 7340 pages
% 7.77/2.68  
%------------------------------------------------------------------------------