TSTP Solution File: SWW474+1 by Enigma---0.5.1

View Problem - Process Solution

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

% Computer : n018.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 00:02:23 EDT 2022

% Result   : Theorem 6.57s 2.34s
% Output   : CNFRefutation 6.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   29 (  19 unt;   0 nHn;  20 RR)
%            Number of literals    :   47 (  14 equ;  22 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  11 con; 0-2 aty)
%            Number of variables   :   29 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_309,plain,
    cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)) = hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3oezo180/lgb.p',i_0_309) ).

cnf(i_0_313,plain,
    cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)) = hAPP_H1049623551e_bool(fequal1111551311_state,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3oezo180/lgb.p',i_0_313) ).

cnf(i_0_13,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))))
    | ~ hBOOL(hoare_165779456gleton)
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(wt(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3oezo180/lgb.p',i_0_13) ).

cnf(i_0_1,hypothesis,
    hBOOL(hoare_165779456gleton),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3oezo180/lgb.p',i_0_1) ).

cnf(i_0_2,hypothesis,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3oezo180/lgb.p',i_0_2) ).

cnf(i_0_319,plain,
    ( hBOOL(wt(X1))
    | hAPP_p799580910on_com(body,X2) != some_com(X1)
    | ~ hBOOL(wT_bodies) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3oezo180/lgb.p',i_0_319) ).

cnf(i_0_8,negated_conjecture,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,y))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3oezo180/lgb.p',i_0_8) ).

cnf(i_0_385,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3oezo180/lgb.p',i_0_385) ).

cnf(i_0_9,plain,
    hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),bot_bo620288102e_bool)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3oezo180/lgb.p',i_0_9) ).

cnf(i_0_6,hypothesis,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3oezo180/lgb.p',i_0_6) ).

cnf(c_0_396,plain,
    cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)) = hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1),
    i_0_309 ).

cnf(c_0_397,plain,
    cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)) = hAPP_H1049623551e_bool(fequal1111551311_state,X1),
    i_0_313 ).

cnf(c_0_398,plain,
    hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1) = hAPP_H1049623551e_bool(fequal1111551311_state,X1),
    inference(rw,[status(thm)],[c_0_396,c_0_397]) ).

cnf(c_0_399,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))))
    | ~ hBOOL(hoare_165779456gleton)
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(wt(X1)) ),
    i_0_13 ).

cnf(c_0_400,plain,
    cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(fequal1111551311_state,X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)) = hAPP_H1049623551e_bool(fequal1111551311_state,X1),
    inference(rw,[status(thm)],[c_0_397,c_0_398]) ).

cnf(c_0_401,hypothesis,
    hBOOL(hoare_165779456gleton),
    i_0_1 ).

cnf(c_0_402,hypothesis,
    hBOOL(wT_bodies),
    i_0_2 ).

cnf(c_0_403,plain,
    ( hBOOL(wt(X1))
    | hAPP_p799580910on_com(body,X2) != some_com(X1)
    | ~ hBOOL(wT_bodies) ),
    i_0_319 ).

cnf(c_0_404,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1))))
    | ~ hBOOL(wt(X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_399,c_0_398]),c_0_400]),c_0_401]),c_0_402])]) ).

cnf(c_0_405,plain,
    ( hBOOL(wt(X1))
    | hAPP_p799580910on_com(body,X2) != some_com(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_403,c_0_402])]) ).

cnf(c_0_406,negated_conjecture,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,y))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))),
    i_0_8 ).

cnf(c_0_407,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2)) ),
    i_0_385 ).

cnf(c_0_408,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1))))
    | hAPP_p799580910on_com(body,X2) != some_com(X1) ),
    inference(spm,[status(thm)],[c_0_404,c_0_405]) ).

cnf(c_0_409,plain,
    hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),bot_bo620288102e_bool)),
    i_0_9 ).

cnf(c_0_410,negated_conjecture,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)))),
    inference(rw,[status(thm)],[c_0_406,c_0_397]) ).

cnf(c_0_411,plain,
    ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2))))
    | hAPP_p799580910on_com(body,X3) != some_com(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_408]),c_0_409])]) ).

cnf(c_0_412,hypothesis,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    i_0_6 ).

cnf(c_0_413,negated_conjecture,
    hAPP_p799580910on_com(body,X1) != some_com(y),
    inference(spm,[status(thm)],[c_0_410,c_0_411]) ).

cnf(c_0_414,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_412,c_0_413]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWW474+1 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n018.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Mon Jun  6 03:00:51 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected SinE mode:
% 0.17/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.17/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.17/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 6.57/2.34  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.57/2.34  # No SInE strategy applied
% 6.57/2.34  # Trying AutoSched0 for 150 seconds
% 6.57/2.34  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S026I
% 6.57/2.34  # and selection function SelectOptimalRestrNDepth2.
% 6.57/2.34  #
% 6.57/2.34  # Preprocessing time       : 0.025 s
% 6.57/2.34  # Presaturation interreduction done
% 6.57/2.34  
% 6.57/2.34  # Proof found!
% 6.57/2.34  # SZS status Theorem
% 6.57/2.34  # SZS output start CNFRefutation
% See solution above
% 6.57/2.34  # Training examples: 0 positive, 0 negative
% 6.57/2.34  
% 6.57/2.34  # -------------------------------------------------
% 6.57/2.34  # User time                : 0.037 s
% 6.57/2.34  # System time              : 0.006 s
% 6.57/2.34  # Total time               : 0.043 s
% 6.57/2.34  # Maximum resident set size: 7120 pages
% 6.57/2.34  
%------------------------------------------------------------------------------