TSTP Solution File: SWW474+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW474+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 9.82s 3.43s
% Output   : CNFRefutation 9.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   56 (  33 unt;  10 nHn;  45 RR)
%            Number of literals    :   91 (  28 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    :   32 (  32 usr;  16 con; 0-2 aty)
%            Number of variables   :   38 (  18 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2230,plain,
    ( X1 = fFalse
    | X1 = fTrue
    | ~ is_bool(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_2230) ).

cnf(i_0_2075,plain,
    is_bool(bot_bot_bool),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_2075) ).

cnf(i_0_2001,hypothesis,
    is_bool(wT_bodies),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_2001) ).

cnf(i_0_1211,plain,
    ( hBOOL(hAPP_f1378282496l_bool(hAPP_H2039996199l_bool(member1667945571_state,X1),bot_bo784226126e_bool))
    | ~ hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_1211) ).

cnf(i_0_1937,plain,
    ~ hBOOL(hAPP_f1378282496l_bool(hAPP_H2039996199l_bool(member1667945571_state,X1),bot_bo784226126e_bool)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_1937) ).

cnf(i_0_2,hypothesis,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_2) ).

cnf(i_0_2219,plain,
    ~ hBOOL(fFalse),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_2219) ).

cnf(i_0_1178,plain,
    ( hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X1))
    | ~ hBOOL(bot_bot_bool) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_1178) ).

cnf(i_0_662,plain,
    ( hBOOL(hAPP_com_bool(wt,X1))
    | hAPP_com_option_com(some_com,X1) != hAPP_p799580910on_com(body,X2)
    | ~ hBOOL(wT_bodies) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_662) ).

cnf(i_0_6,hypothesis,
    hAPP_com_option_com(some_com,y) = hAPP_p799580910on_com(body,pn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_6) ).

cnf(i_0_2003,plain,
    is_bool(finite1653727294m_bool(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_2003) ).

cnf(i_0_1424,plain,
    ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X1)),bot_bo784226126e_bool)))
    | ~ hBOOL(hoare_1795711768gleton)
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hAPP_com_bool(wt,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_1424) ).

cnf(i_0_1,hypothesis,
    hBOOL(hoare_1795711768gleton),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_1) ).

cnf(i_0_201,plain,
    hBOOL(finite1653727294m_bool(insert_com)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_201) ).

cnf(i_0_2048,hypothesis,
    is_bool(hAPP_f1378282496l_bool(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_2048) ).

cnf(i_0_1132,plain,
    ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
    | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X3))
    | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_1132) ).

cnf(i_0_9,plain,
    hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),bot_bo784226126e_bool)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_9) ).

cnf(i_0_8,negated_conjecture,
    ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8oxh1ov/lgb.p',i_0_8) ).

cnf(c_0_2249,plain,
    ( X1 = fFalse
    | X1 = fTrue
    | ~ is_bool(X1) ),
    i_0_2230 ).

cnf(c_0_2250,plain,
    is_bool(bot_bot_bool),
    i_0_2075 ).

cnf(c_0_2251,hypothesis,
    is_bool(wT_bodies),
    i_0_2001 ).

cnf(c_0_2252,plain,
    ( fTrue = bot_bot_bool
    | fFalse = bot_bot_bool ),
    inference(spm,[status(thm)],[c_0_2249,c_0_2250]) ).

cnf(c_0_2253,hypothesis,
    ( fTrue = wT_bodies
    | wT_bodies = fFalse ),
    inference(spm,[status(thm)],[c_0_2249,c_0_2251]) ).

cnf(c_0_2254,plain,
    ( hBOOL(hAPP_f1378282496l_bool(hAPP_H2039996199l_bool(member1667945571_state,X1),bot_bo784226126e_bool))
    | ~ hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X1)) ),
    i_0_1211 ).

cnf(c_0_2255,plain,
    ~ hBOOL(hAPP_f1378282496l_bool(hAPP_H2039996199l_bool(member1667945571_state,X1),bot_bo784226126e_bool)),
    i_0_1937 ).

cnf(c_0_2256,hypothesis,
    hBOOL(wT_bodies),
    i_0_2 ).

cnf(c_0_2257,plain,
    ( wT_bodies = fFalse
    | fFalse = bot_bot_bool
    | wT_bodies = bot_bot_bool ),
    inference(spm,[status(thm)],[c_0_2252,c_0_2253]) ).

cnf(c_0_2258,plain,
    ~ hBOOL(fFalse),
    i_0_2219 ).

cnf(c_0_2259,plain,
    ( hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X1))
    | ~ hBOOL(bot_bot_bool) ),
    i_0_1178 ).

cnf(c_0_2260,plain,
    ~ hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X1)),
    inference(sr,[status(thm)],[c_0_2254,c_0_2255]) ).

cnf(c_0_2261,hypothesis,
    ( wT_bodies = bot_bot_bool
    | fFalse = bot_bot_bool ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2256,c_0_2257]),c_0_2258]) ).

cnf(c_0_2262,plain,
    ~ hBOOL(bot_bot_bool),
    inference(sr,[status(thm)],[c_0_2259,c_0_2260]) ).

cnf(c_0_2263,plain,
    ( hBOOL(hAPP_com_bool(wt,X1))
    | hAPP_com_option_com(some_com,X1) != hAPP_p799580910on_com(body,X2)
    | ~ hBOOL(wT_bodies) ),
    i_0_662 ).

cnf(c_0_2264,hypothesis,
    fFalse = bot_bot_bool,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2256,c_0_2261]),c_0_2262]) ).

cnf(c_0_2265,plain,
    ( hBOOL(hAPP_com_bool(wt,X1))
    | hAPP_p799580910on_com(body,X2) != hAPP_com_option_com(some_com,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2263,c_0_2256])]) ).

cnf(c_0_2266,hypothesis,
    hAPP_com_option_com(some_com,y) = hAPP_p799580910on_com(body,pn),
    i_0_6 ).

cnf(c_0_2267,plain,
    ( X1 = fTrue
    | X1 = bot_bot_bool
    | ~ is_bool(X1) ),
    inference(rw,[status(thm)],[c_0_2249,c_0_2264]) ).

cnf(c_0_2268,plain,
    is_bool(finite1653727294m_bool(X1)),
    i_0_2003 ).

cnf(c_0_2269,plain,
    ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X1)),bot_bo784226126e_bool)))
    | ~ hBOOL(hoare_1795711768gleton)
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hAPP_com_bool(wt,X1)) ),
    i_0_1424 ).

cnf(c_0_2270,hypothesis,
    hBOOL(hoare_1795711768gleton),
    i_0_1 ).

cnf(c_0_2271,hypothesis,
    ( hBOOL(hAPP_com_bool(wt,y))
    | hAPP_p799580910on_com(body,X1) != hAPP_p799580910on_com(body,pn) ),
    inference(spm,[status(thm)],[c_0_2265,c_0_2266]) ).

cnf(c_0_2272,plain,
    hBOOL(finite1653727294m_bool(insert_com)),
    i_0_201 ).

cnf(c_0_2273,plain,
    ( finite1653727294m_bool(X1) = bot_bot_bool
    | finite1653727294m_bool(X1) = fTrue ),
    inference(spm,[status(thm)],[c_0_2267,c_0_2268]) ).

cnf(c_0_2274,plain,
    ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X1)),bot_bo784226126e_bool)))
    | ~ hBOOL(hAPP_com_bool(wt,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2269,c_0_2270]),c_0_2256])]) ).

cnf(c_0_2275,hypothesis,
    hBOOL(hAPP_com_bool(wt,y)),
    inference(er,[status(thm)],[c_0_2271]) ).

cnf(c_0_2276,hypothesis,
    is_bool(hAPP_f1378282496l_bool(X1,X2)),
    i_0_2048 ).

cnf(c_0_2277,plain,
    ( finite1653727294m_bool(insert_com) = bot_bot_bool
    | hBOOL(fTrue) ),
    inference(spm,[status(thm)],[c_0_2272,c_0_2273]) ).

cnf(c_0_2278,plain,
    ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
    | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X3))
    | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X2)) ),
    i_0_1132 ).

cnf(c_0_2279,plain,
    hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
    inference(spm,[status(thm)],[c_0_2274,c_0_2275]) ).

cnf(c_0_2280,plain,
    hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),bot_bo784226126e_bool)),
    i_0_9 ).

cnf(c_0_2281,negated_conjecture,
    ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
    i_0_8 ).

cnf(c_0_2282,hypothesis,
    ( hAPP_f1378282496l_bool(X1,X2) = bot_bot_bool
    | hAPP_f1378282496l_bool(X1,X2) = fTrue ),
    inference(spm,[status(thm)],[c_0_2267,c_0_2276]) ).

cnf(c_0_2283,plain,
    hBOOL(fTrue),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2272,c_0_2277]),c_0_2262]) ).

cnf(c_0_2284,plain,
    hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2278,c_0_2279]),c_0_2280])]) ).

cnf(c_0_2285,negated_conjecture,
    hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool)) = bot_bot_bool,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2281,c_0_2282]),c_0_2283])]) ).

cnf(c_0_2286,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2284,c_0_2285]),c_0_2262]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWW474+3 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun  4 14:08:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 0.19/0.55  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.55  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.55  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.55  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.82/3.43  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.82/3.43  # No SInE strategy applied
% 9.82/3.43  # Trying AutoSched0 for 150 seconds
% 9.82/3.43  # AutoSched0-Mode selected heuristic G_E___208_B07_F1_AE_CS_SP_PS_S5PRR_S0Y
% 9.82/3.43  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.82/3.43  #
% 9.82/3.43  # Preprocessing time       : 0.027 s
% 9.82/3.43  # Presaturation interreduction done
% 9.82/3.43  
% 9.82/3.43  # Proof found!
% 9.82/3.43  # SZS status Theorem
% 9.82/3.43  # SZS output start CNFRefutation
% See solution above
% 9.82/3.43  # Training examples: 0 positive, 0 negative
% 9.82/3.43  
% 9.82/3.43  # -------------------------------------------------
% 9.82/3.43  # User time                : 0.044 s
% 9.82/3.43  # System time              : 0.006 s
% 9.82/3.43  # Total time               : 0.050 s
% 9.82/3.43  # Maximum resident set size: 7552 pages
% 9.82/3.43  
%------------------------------------------------------------------------------