TSTP Solution File: SWW470+1 by Enigma---0.5.1

View Problem - Process Solution

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

% Computer : n021.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 00:02:18 EDT 2022

% Result   : Theorem 9.46s 2.60s
% Output   : CNFRefutation 9.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   34 (  24 unt;   6 nHn;  12 RR)
%            Number of literals    :   44 (  21 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   39 (  39 usr;  13 con; 0-4 aty)
%            Number of variables   :   46 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_203,plain,
    ( hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(X1),X2) = X1
    | ~ is_bool(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2uwk_fyx/input.p',i_0_203) ).

cnf(i_0_9,hypothesis,
    is_bool(hAPP_f1753944735l_bool(X1,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2uwk_fyx/input.p',i_0_9) ).

cnf(i_0_218,negated_conjecture,
    ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2uwk_fyx/input.p',i_0_218) ).

cnf(i_0_32,plain,
    hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool) = hAPP_H562195827a_bool(fequal1878252616iple_a,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2uwk_fyx/input.p',i_0_32) ).

cnf(i_0_42,plain,
    ( bot_bo1687970473a_bool = X1
    | hBOOL(hAPP_H1927961489a_bool(X1,esk11_1(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2uwk_fyx/input.p',i_0_42) ).

cnf(i_0_217,plain,
    hAPP_H562195827a_bool(hAPP_f1170963427a_bool(hAPP_f1874567875a_bool(cOMBC_1089176504a_bool,X1),X2),X3) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(X1,X3),X2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2uwk_fyx/input.p',i_0_217) ).

cnf(i_0_4,hypothesis,
    is_bool(fFalse),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2uwk_fyx/input.p',i_0_4) ).

cnf(i_0_48,plain,
    cOMBK_1150238960iple_a(fFalse) = bot_bo1687970473a_bool,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2uwk_fyx/input.p',i_0_48) ).

cnf(i_0_20,plain,
    ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,esk1_4(X2,X3,X4,X1)),esk2_4(X2,X3,X4,X1)))
    | hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X1,X3,X4)),bot_bo1687970473a_bool))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2uwk_fyx/input.p',i_0_20) ).

cnf(i_0_194,plain,
    ( hAPP_state_bool(cOMBK_bool_state(X1),X2) = X1
    | ~ is_bool(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2uwk_fyx/input.p',i_0_194) ).

cnf(i_0_195,plain,
    hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X1),X2) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2uwk_fyx/input.p',i_0_195) ).

cnf(i_0_187,plain,
    ~ hBOOL(fFalse),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2uwk_fyx/input.p',i_0_187) ).

cnf(c_0_231,plain,
    ( hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(X1),X2) = X1
    | ~ is_bool(X1) ),
    i_0_203 ).

cnf(c_0_232,hypothesis,
    is_bool(hAPP_f1753944735l_bool(X1,X2)),
    i_0_9 ).

cnf(c_0_233,negated_conjecture,
    ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
    i_0_218 ).

cnf(c_0_234,plain,
    hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X1),bot_bo1687970473a_bool) = hAPP_H562195827a_bool(fequal1878252616iple_a,X1),
    i_0_32 ).

cnf(c_0_235,plain,
    ( bot_bo1687970473a_bool = X1
    | hBOOL(hAPP_H1927961489a_bool(X1,esk11_1(X1))) ),
    i_0_42 ).

cnf(c_0_236,hypothesis,
    hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(hAPP_f1753944735l_bool(X1,X2)),X3) = hAPP_f1753944735l_bool(X1,X2),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_237,plain,
    hAPP_H562195827a_bool(hAPP_f1170963427a_bool(hAPP_f1874567875a_bool(cOMBC_1089176504a_bool,X1),X2),X3) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(X1,X3),X2),
    i_0_217 ).

cnf(c_0_238,negated_conjecture,
    ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))))),
    inference(rw,[status(thm)],[c_0_233,c_0_234]) ).

cnf(c_0_239,plain,
    ( cOMBK_1150238960iple_a(hAPP_f1753944735l_bool(X1,X2)) = bot_bo1687970473a_bool
    | hBOOL(hAPP_f1753944735l_bool(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_240,hypothesis,
    is_bool(fFalse),
    i_0_4 ).

cnf(c_0_241,plain,
    cOMBK_1150238960iple_a(fFalse) = bot_bo1687970473a_bool,
    i_0_48 ).

cnf(c_0_242,plain,
    ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,esk1_4(X2,X3,X4,X1)),esk2_4(X2,X3,X4,X1)))
    | hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X1,X3,X4)),bot_bo1687970473a_bool))) ),
    i_0_20 ).

cnf(c_0_243,plain,
    hAPP_H562195827a_bool(hAPP_f1170963427a_bool(hAPP_f1874567875a_bool(cOMBC_1089176504a_bool,insert1871499715iple_a),bot_bo1687970473a_bool),X1) = hAPP_H562195827a_bool(fequal1878252616iple_a,X1),
    inference(rw,[status(thm)],[c_0_234,c_0_237]) ).

cnf(c_0_244,negated_conjecture,
    cOMBK_1150238960iple_a(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))))) = bot_bo1687970473a_bool,
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_245,hypothesis,
    hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X1) = fFalse,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_240]),c_0_241]) ).

cnf(c_0_246,plain,
    ( hAPP_state_bool(cOMBK_bool_state(X1),X2) = X1
    | ~ is_bool(X1) ),
    i_0_194 ).

cnf(c_0_247,plain,
    ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,esk1_4(X2,X3,X4,X1)),esk2_4(X2,X3,X4,X1)))
    | hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X1,X3,X4)))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_237]),c_0_243]) ).

cnf(c_0_248,plain,
    hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))) = fFalse,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_244]),c_0_245]),c_0_232])]) ).

cnf(c_0_249,plain,
    hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X1),X2) = X1,
    i_0_195 ).

cnf(c_0_250,hypothesis,
    hAPP_state_bool(cOMBK_bool_state(fFalse),X1) = fFalse,
    inference(spm,[status(thm)],[c_0_246,c_0_240]) ).

cnf(c_0_251,plain,
    ~ hBOOL(fFalse),
    i_0_187 ).

cnf(c_0_252,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_249]),c_0_250])]),c_0_251]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWW470+1 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun  5 02:37:05 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 9.46/2.60  # ENIGMATIC: Solved by autoschedule:
% 9.46/2.60  # No SInE strategy applied
% 9.46/2.60  # Trying AutoSched0 for 150 seconds
% 9.46/2.60  # AutoSched0-Mode selected heuristic G_E___208_B01_00_F1_SE_CS_SP_PS_S04CN
% 9.46/2.60  # and selection function MSelectComplexExceptUniqMaxHorn.
% 9.46/2.60  #
% 9.46/2.60  # Preprocessing time       : 0.028 s
% 9.46/2.60  # Presaturation interreduction done
% 9.46/2.60  
% 9.46/2.60  # Proof found!
% 9.46/2.60  # SZS status Theorem
% 9.46/2.60  # SZS output start CNFRefutation
% See solution above
% 9.46/2.60  # Training examples: 0 positive, 0 negative
% 9.46/2.60  
% 9.46/2.60  # -------------------------------------------------
% 9.46/2.60  # User time                : 0.139 s
% 9.46/2.60  # System time              : 0.016 s
% 9.46/2.60  # Total time               : 0.155 s
% 9.46/2.60  # Maximum resident set size: 7116 pages
% 9.46/2.60  
%------------------------------------------------------------------------------