TSTP Solution File: SWW470+3 by Enigma---0.5.1

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW470+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 00:02:19 EDT 2022

% Result   : Theorem 9.35s 3.32s
% Output   : CNFRefutation 9.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   47 (  25 unt;  13 nHn;  25 RR)
%            Number of literals    :   76 (  27 equ;  25 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   42 (  42 usr;  21 con; 0-4 aty)
%            Number of variables   :   59 (  21 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1924,plain,
    ( X1 = fFalse
    | X1 = fTrue
    | ~ is_bool(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2rh79ar/lgb.p',i_0_1924) ).

cnf(i_0_1737,plain,
    is_bool(finite58652534t_bool(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2rh79ar/lgb.p',i_0_1737) ).

cnf(i_0_916,plain,
    hBOOL(finite58652534t_bool(insert_int)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2rh79ar/lgb.p',i_0_916) ).

cnf(i_0_824,plain,
    ( hAPP_f20753329a_bool(collec351493750iple_a,X1) != bot_bo797238721a_bool
    | ~ hBOOL(hAPP_H1037229737a_bool(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2rh79ar/lgb.p',i_0_824) ).

cnf(i_0_442,plain,
    hAPP_f20753329a_bool(collec351493750iple_a,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2rh79ar/lgb.p',i_0_442) ).

cnf(i_0_1916,plain,
    ~ hBOOL(fFalse),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2rh79ar/lgb.p',i_0_1916) ).

cnf(i_0_1759,plain,
    is_bool(bot_bot_bool),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2rh79ar/lgb.p',i_0_1759) ).

cnf(i_0_80,plain,
    ( hBOOL(hAPP_H1037229737a_bool(bot_bo797238721a_bool,X1))
    | ~ hBOOL(bot_bot_bool) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2rh79ar/lgb.p',i_0_80) ).

cnf(i_0_1752,hypothesis,
    is_bool(hAPP_f1695230391l_bool(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2rh79ar/lgb.p',i_0_1752) ).

cnf(i_0_602,plain,
    ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),X2))
    | ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),X3))
    | ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X3),X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2rh79ar/lgb.p',i_0_602) ).

cnf(i_0_1,negated_conjecture,
    ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2rh79ar/lgb.p',i_0_1) ).

cnf(i_0_323,plain,
    ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,esk34_4(X2,X3,X4,X1)),esk35_4(X2,X3,X4,X1)))
    | hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X3),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X4,X2)),bot_bo797238721a_bool))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2rh79ar/lgb.p',i_0_323) ).

cnf(i_0_1867,plain,
    hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X1),X2) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2rh79ar/lgb.p',i_0_1867) ).

cnf(i_0_2,plain,
    hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),bot_bo797238721a_bool)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2rh79ar/lgb.p',i_0_2) ).

cnf(i_0_1869,plain,
    ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X1),X2) = X1
    | ~ is_bool(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a2rh79ar/lgb.p',i_0_1869) ).

cnf(c_0_1940,plain,
    ( X1 = fFalse
    | X1 = fTrue
    | ~ is_bool(X1) ),
    i_0_1924 ).

cnf(c_0_1941,plain,
    is_bool(finite58652534t_bool(X1)),
    i_0_1737 ).

cnf(c_0_1942,plain,
    hBOOL(finite58652534t_bool(insert_int)),
    i_0_916 ).

cnf(c_0_1943,plain,
    ( finite58652534t_bool(X1) = fFalse
    | finite58652534t_bool(X1) = fTrue ),
    inference(spm,[status(thm)],[c_0_1940,c_0_1941]) ).

cnf(c_0_1944,plain,
    ( hAPP_f20753329a_bool(collec351493750iple_a,X1) != bot_bo797238721a_bool
    | ~ hBOOL(hAPP_H1037229737a_bool(X1,X2)) ),
    i_0_824 ).

cnf(c_0_1945,plain,
    hAPP_f20753329a_bool(collec351493750iple_a,X1) = X1,
    i_0_442 ).

cnf(c_0_1946,plain,
    ( finite58652534t_bool(insert_int) = fFalse
    | hBOOL(fTrue) ),
    inference(spm,[status(thm)],[c_0_1942,c_0_1943]) ).

cnf(c_0_1947,plain,
    ~ hBOOL(fFalse),
    i_0_1916 ).

cnf(c_0_1948,plain,
    is_bool(bot_bot_bool),
    i_0_1759 ).

cnf(c_0_1949,plain,
    ( X1 != bot_bo797238721a_bool
    | ~ hBOOL(hAPP_H1037229737a_bool(X1,X2)) ),
    inference(rw,[status(thm)],[c_0_1944,c_0_1945]) ).

cnf(c_0_1950,plain,
    ( hBOOL(hAPP_H1037229737a_bool(bot_bo797238721a_bool,X1))
    | ~ hBOOL(bot_bot_bool) ),
    i_0_80 ).

cnf(c_0_1951,plain,
    hBOOL(fTrue),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1942,c_0_1946]),c_0_1947]) ).

cnf(c_0_1952,plain,
    ( fFalse = bot_bot_bool
    | fTrue = bot_bot_bool ),
    inference(spm,[status(thm)],[c_0_1940,c_0_1948]) ).

cnf(c_0_1953,plain,
    ~ hBOOL(bot_bot_bool),
    inference(spm,[status(thm)],[c_0_1949,c_0_1950]) ).

cnf(c_0_1954,plain,
    fFalse = bot_bot_bool,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1951,c_0_1952]),c_0_1953]) ).

cnf(c_0_1955,plain,
    ( X1 = bot_bot_bool
    | X1 = fTrue
    | ~ is_bool(X1) ),
    inference(rw,[status(thm)],[c_0_1940,c_0_1954]) ).

cnf(c_0_1956,hypothesis,
    is_bool(hAPP_f1695230391l_bool(X1,X2)),
    i_0_1752 ).

cnf(c_0_1957,plain,
    ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),X2))
    | ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),X3))
    | ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X3),X2)) ),
    i_0_602 ).

cnf(c_0_1958,hypothesis,
    ( hAPP_f1695230391l_bool(X1,X2) = bot_bot_bool
    | hAPP_f1695230391l_bool(X1,X2) = fTrue ),
    inference(spm,[status(thm)],[c_0_1955,c_0_1956]) ).

cnf(c_0_1959,negated_conjecture,
    ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
    i_0_1 ).

cnf(c_0_1960,plain,
    ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,esk34_4(X2,X3,X4,X1)),esk35_4(X2,X3,X4,X1)))
    | hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X3),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X4,X2)),bot_bo797238721a_bool))) ),
    i_0_323 ).

cnf(c_0_1961,plain,
    hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X1),X2) = X1,
    i_0_1867 ).

cnf(c_0_1962,plain,
    ( hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),X2) = bot_bot_bool
    | hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X3),X2))
    | ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X3),X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1957,c_0_1958]),c_0_1951])]) ).

cnf(c_0_1963,plain,
    hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),bot_bo797238721a_bool)),
    i_0_2 ).

cnf(c_0_1964,negated_conjecture,
    ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
    inference(rw,[status(thm)],[c_0_1959,c_0_1954]) ).

cnf(c_0_1965,plain,
    ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X2),X3,X4)),bot_bo797238721a_bool)))
    | hBOOL(hAPP_state_bool(X2,esk35_4(X4,X1,X3,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X2)))) ),
    inference(spm,[status(thm)],[c_0_1960,c_0_1961]) ).

cnf(c_0_1966,plain,
    ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X1),X2) = X1
    | ~ is_bool(X1) ),
    i_0_1869 ).

cnf(c_0_1967,plain,
    ( hAPP_f1695230391l_bool(hoare_2102800559rivs_a(bot_bo797238721a_bool),X1) = bot_bot_bool
    | hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),X1)) ),
    inference(spm,[status(thm)],[c_0_1962,c_0_1963]) ).

cnf(c_0_1968,negated_conjecture,
    hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool)) = bot_bot_bool,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1964,c_0_1958]),c_0_1951])]) ).

cnf(c_0_1969,plain,
    ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,X2)),X3,X4)),bot_bo797238721a_bool)))
    | hBOOL(X2)
    | ~ is_bool(X2) ),
    inference(spm,[status(thm)],[c_0_1965,c_0_1966]) ).

cnf(c_0_1970,negated_conjecture,
    hAPP_f1695230391l_bool(hoare_2102800559rivs_a(bot_bo797238721a_bool),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool)) = bot_bot_bool,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1967,c_0_1968]),c_0_1953]) ).

cnf(c_0_1971,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1969,c_0_1970]),c_0_1948])]),c_0_1953]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW470+3 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun  4 23:24:32 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.34/0.53  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/0.53  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.34/0.53  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.34/0.53  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.35/3.32  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.35/3.32  # No SInE strategy applied
% 9.35/3.32  # Trying AutoSched0 for 150 seconds
% 9.35/3.32  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SP_PI_S0Y
% 9.35/3.32  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.35/3.32  #
% 9.35/3.32  # Preprocessing time       : 0.017 s
% 9.35/3.32  
% 9.35/3.32  # Proof found!
% 9.35/3.32  # SZS status Theorem
% 9.35/3.32  # SZS output start CNFRefutation
% See solution above
% 9.35/3.32  # Training examples: 0 positive, 0 negative
% 9.35/3.32  
% 9.35/3.32  # -------------------------------------------------
% 9.35/3.32  # User time                : 0.031 s
% 9.35/3.32  # System time              : 0.006 s
% 9.35/3.32  # Total time               : 0.037 s
% 9.35/3.32  # Maximum resident set size: 7560 pages
% 9.35/3.32  
%------------------------------------------------------------------------------