TSTP Solution File: SWW474+7 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW474+7 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 76.15s 11.83s
% Output   : CNFRefutation 76.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   27 (  17 unt;   0 nHn;  22 RR)
%            Number of literals    :   46 (   8 equ;  22 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :   14 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  12 con; 0-4 aty)
%            Number of variables   :   36 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1283,plain,
    ( hBOOL(hAPP(com,bool,wt,X1))
    | hAPP(pname,option(com),body,X2) != hAPP(com,option(com),some(com),X1)
    | ~ hBOOL(wT_bodies) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5yzm4ge_/input.p',i_0_1283) ).

cnf(i_0_39,hypothesis,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5yzm4ge_/input.p',i_0_39) ).

cnf(i_0_203,plain,
    ( hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),bot_bot(fun(hoare_2118899576triple(state),bool))),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,X1)),bot_bot(fun(hoare_2118899576triple(state),bool)))))
    | ~ hBOOL(hoare_511481251gleton)
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hAPP(com,bool,wt,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5yzm4ge_/input.p',i_0_203) ).

cnf(i_0_38,hypothesis,
    hBOOL(hoare_511481251gleton),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5yzm4ge_/input.p',i_0_38) ).

cnf(i_0_43,hypothesis,
    hAPP(com,option(com),some(com),y) = hAPP(pname,option(com),body,pn),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5yzm4ge_/input.p',i_0_43) ).

cnf(i_0_45,negated_conjecture,
    ~ hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),hAPP(fun(pname,bool),fun(hoare_2118899576triple(state),bool),hAPP(fun(pname,hoare_2118899576triple(state)),fun(fun(pname,bool),fun(hoare_2118899576triple(state),bool)),image(pname,hoare_2118899576triple(state)),hAPP(fun(pname,com),fun(pname,hoare_2118899576triple(state)),hAPP(fun(com,hoare_2118899576triple(state)),fun(fun(pname,com),fun(pname,hoare_2118899576triple(state))),combb(com,hoare_2118899576triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_2118899576triple(state),bool))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5yzm4ge_/input.p',i_0_45) ).

cnf(i_0_1382,plain,
    hAPP(X1,X2,hAPP(fun(X1,X3),fun(X1,X2),hAPP(fun(X3,X2),fun(fun(X1,X3),fun(X1,X2)),combb(X3,X2,X1),X4),X5),X6) = hAPP(X3,X2,X4,hAPP(X1,X3,X5,X6)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5yzm4ge_/input.p',i_0_1382) ).

cnf(i_0_650,plain,
    ( hBOOL(hAPP(fun(hoare_2118899576triple(X1),bool),bool,hAPP(fun(hoare_2118899576triple(X1),bool),fun(fun(hoare_2118899576triple(X1),bool),bool),hoare_1301688828derivs(X1),X2),X3))
    | ~ hBOOL(hAPP(fun(hoare_2118899576triple(X1),bool),bool,hAPP(fun(hoare_2118899576triple(X1),bool),fun(fun(hoare_2118899576triple(X1),bool),bool),hoare_1301688828derivs(X1),X2),X4))
    | ~ hBOOL(hAPP(fun(hoare_2118899576triple(X1),bool),bool,hAPP(fun(hoare_2118899576triple(X1),bool),fun(fun(hoare_2118899576triple(X1),bool),bool),hoare_1301688828derivs(X1),X4),X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5yzm4ge_/input.p',i_0_650) ).

cnf(i_0_46,plain,
    hBOOL(hAPP(fun(hoare_2118899576triple(X1),bool),bool,hAPP(fun(hoare_2118899576triple(X1),bool),fun(fun(hoare_2118899576triple(X1),bool),bool),hoare_1301688828derivs(X1),X2),bot_bot(fun(hoare_2118899576triple(X1),bool)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5yzm4ge_/input.p',i_0_46) ).

cnf(c_0_1392,plain,
    ( hBOOL(hAPP(com,bool,wt,X1))
    | hAPP(pname,option(com),body,X2) != hAPP(com,option(com),some(com),X1)
    | ~ hBOOL(wT_bodies) ),
    i_0_1283 ).

cnf(c_0_1393,hypothesis,
    hBOOL(wT_bodies),
    i_0_39 ).

cnf(c_0_1394,plain,
    ( hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),bot_bot(fun(hoare_2118899576triple(state),bool))),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,X1)),bot_bot(fun(hoare_2118899576triple(state),bool)))))
    | ~ hBOOL(hoare_511481251gleton)
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hAPP(com,bool,wt,X1)) ),
    i_0_203 ).

cnf(c_0_1395,hypothesis,
    hBOOL(hoare_511481251gleton),
    i_0_38 ).

cnf(c_0_1396,plain,
    ( hBOOL(hAPP(com,bool,wt,X1))
    | hAPP(pname,option(com),body,X2) != hAPP(com,option(com),some(com),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1392,c_0_1393])]) ).

cnf(c_0_1397,hypothesis,
    hAPP(com,option(com),some(com),y) = hAPP(pname,option(com),body,pn),
    i_0_43 ).

cnf(c_0_1398,plain,
    ( hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),bot_bot(fun(hoare_2118899576triple(state),bool))),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,X1)),bot_bot(fun(hoare_2118899576triple(state),bool)))))
    | ~ hBOOL(hAPP(com,bool,wt,X1))
    | ~ hBOOL(wT_bodies) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1394,c_0_1395])]) ).

cnf(c_0_1399,hypothesis,
    ( hBOOL(hAPP(com,bool,wt,X1))
    | hAPP(com,option(com),some(com),y) != hAPP(com,option(com),some(com),X1) ),
    inference(spm,[status(thm)],[c_0_1396,c_0_1397]) ).

cnf(c_0_1400,plain,
    ( hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),bot_bot(fun(hoare_2118899576triple(state),bool))),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,X1)),bot_bot(fun(hoare_2118899576triple(state),bool)))))
    | ~ hBOOL(hAPP(com,bool,wt,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1398,c_0_1393])]) ).

cnf(c_0_1401,hypothesis,
    hBOOL(hAPP(com,bool,wt,y)),
    inference(er,[status(thm)],[c_0_1399]) ).

cnf(c_0_1402,negated_conjecture,
    ~ hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),hAPP(fun(pname,bool),fun(hoare_2118899576triple(state),bool),hAPP(fun(pname,hoare_2118899576triple(state)),fun(fun(pname,bool),fun(hoare_2118899576triple(state),bool)),image(pname,hoare_2118899576triple(state)),hAPP(fun(pname,com),fun(pname,hoare_2118899576triple(state)),hAPP(fun(com,hoare_2118899576triple(state)),fun(fun(pname,com),fun(pname,hoare_2118899576triple(state))),combb(com,hoare_2118899576triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_2118899576triple(state),bool))))),
    i_0_45 ).

cnf(c_0_1403,plain,
    hAPP(X1,X2,hAPP(fun(X1,X3),fun(X1,X2),hAPP(fun(X3,X2),fun(fun(X1,X3),fun(X1,X2)),combb(X3,X2,X1),X4),X5),X6) = hAPP(X3,X2,X4,hAPP(X1,X3,X5,X6)),
    i_0_1382 ).

cnf(c_0_1404,plain,
    ( hBOOL(hAPP(fun(hoare_2118899576triple(X1),bool),bool,hAPP(fun(hoare_2118899576triple(X1),bool),fun(fun(hoare_2118899576triple(X1),bool),bool),hoare_1301688828derivs(X1),X2),X3))
    | ~ hBOOL(hAPP(fun(hoare_2118899576triple(X1),bool),bool,hAPP(fun(hoare_2118899576triple(X1),bool),fun(fun(hoare_2118899576triple(X1),bool),bool),hoare_1301688828derivs(X1),X2),X4))
    | ~ hBOOL(hAPP(fun(hoare_2118899576triple(X1),bool),bool,hAPP(fun(hoare_2118899576triple(X1),bool),fun(fun(hoare_2118899576triple(X1),bool),bool),hoare_1301688828derivs(X1),X4),X3)) ),
    i_0_650 ).

cnf(c_0_1405,plain,
    hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),bot_bot(fun(hoare_2118899576triple(state),bool))),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_2118899576triple(state),bool))))),
    inference(spm,[status(thm)],[c_0_1400,c_0_1401]) ).

cnf(c_0_1406,plain,
    hBOOL(hAPP(fun(hoare_2118899576triple(X1),bool),bool,hAPP(fun(hoare_2118899576triple(X1),bool),fun(fun(hoare_2118899576triple(X1),bool),bool),hoare_1301688828derivs(X1),X2),bot_bot(fun(hoare_2118899576triple(X1),bool)))),
    i_0_46 ).

cnf(c_0_1407,negated_conjecture,
    ~ hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),hAPP(fun(pname,option(com)),fun(hoare_2118899576triple(state),bool),hAPP(fun(fun(pname,option(com)),fun(pname,bool)),fun(fun(pname,option(com)),fun(hoare_2118899576triple(state),bool)),hAPP(fun(pname,hoare_2118899576triple(state)),fun(fun(fun(pname,option(com)),fun(pname,bool)),fun(fun(pname,option(com)),fun(hoare_2118899576triple(state),bool))),hAPP(fun(fun(pname,hoare_2118899576triple(state)),fun(fun(pname,bool),fun(hoare_2118899576triple(state),bool))),fun(fun(pname,hoare_2118899576triple(state)),fun(fun(fun(pname,option(com)),fun(pname,bool)),fun(fun(pname,option(com)),fun(hoare_2118899576triple(state),bool)))),hAPP(fun(fun(fun(pname,bool),fun(hoare_2118899576triple(state),bool)),fun(fun(fun(pname,option(com)),fun(pname,bool)),fun(fun(pname,option(com)),fun(hoare_2118899576triple(state),bool)))),fun(fun(fun(pname,hoare_2118899576triple(state)),fun(fun(pname,bool),fun(hoare_2118899576triple(state),bool))),fun(fun(pname,hoare_2118899576triple(state)),fun(fun(fun(pname,option(com)),fun(pname,bool)),fun(fun(pname,option(com)),fun(hoare_2118899576triple(state),bool))))),combb(fun(fun(pname,bool),fun(hoare_2118899576triple(state),bool)),fun(fun(fun(pname,option(com)),fun(pname,bool)),fun(fun(pname,option(com)),fun(hoare_2118899576triple(state),bool))),fun(pname,hoare_2118899576triple(state))),combb(fun(pname,bool),fun(hoare_2118899576triple(state),bool),fun(pname,option(com)))),image(pname,hoare_2118899576triple(state))),hAPP(fun(pname,com),fun(pname,hoare_2118899576triple(state)),hAPP(fun(com,hoare_2118899576triple(state)),fun(fun(pname,com),fun(pname,hoare_2118899576triple(state))),combb(com,hoare_2118899576triple(state),pname),hoare_Mirabelle_MGT),body_1)),dom(pname,com)),body)),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_2118899576triple(state),bool))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1402,c_0_1403]),c_0_1403]) ).

cnf(c_0_1408,plain,
    hBOOL(hAPP(fun(hoare_2118899576triple(state),bool),bool,hAPP(fun(hoare_2118899576triple(state),bool),fun(fun(hoare_2118899576triple(state),bool),bool),hoare_1301688828derivs(state),X1),hAPP(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool),hAPP(hoare_2118899576triple(state),fun(fun(hoare_2118899576triple(state),bool),fun(hoare_2118899576triple(state),bool)),insert(hoare_2118899576triple(state)),hAPP(com,hoare_2118899576triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_2118899576triple(state),bool))))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1404,c_0_1405]),c_0_1406])]) ).

cnf(c_0_1409,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1407,c_0_1408])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWW474+7 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n025.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 12:12:19 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.42/0.60  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.60  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.42/0.60  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.42/0.60  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 76.15/11.83  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 76.15/11.83  # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 76.15/11.83  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 68; version: 991; iters: 150)
% 76.15/11.83  # Preprocessing time       : 0.957 s
% 76.15/11.83  
% 76.15/11.83  # Proof found!
% 76.15/11.83  # SZS status Theorem
% 76.15/11.83  # SZS output start CNFRefutation
% See solution above
% 76.15/11.83  # Training examples: 0 positive, 0 negative
% 76.15/11.83  
% 76.15/11.83  # -------------------------------------------------
% 76.15/11.83  # User time                : 2.235 s
% 76.15/11.83  # System time              : 0.098 s
% 76.15/11.83  # Total time               : 2.333 s
% 76.15/11.83  # ...preprocessing         : 0.957 s
% 76.15/11.83  # ...main loop             : 1.376 s
% 76.15/11.83  # Maximum resident set size: 157456 pages
% 76.15/11.83  
%------------------------------------------------------------------------------