TSTP Solution File: SWW474+5 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWW474+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% 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 00:47:36 EDT 2022

% Result   : Theorem 128.20s 124.41s
% Output   : Proof 128.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SWW474+5 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun  6 07:36:04 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 128.20/124.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 128.28/124.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 128.28/124.42  
% 128.28/124.42  %-----------------------------------------------------
% 128.28/124.42  fof(conj_7, conjecture, hBOOL(hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), hoare_122391849derivs(state), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body))), hAPP(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool), hAPP(hoare_509422987triple(state), fun(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool)), insert(hoare_509422987triple(state)), hAPP(com, hoare_509422987triple(state), hoare_Mirabelle_MGT, y)), bot_bot(fun(hoare_509422987triple(state), bool))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_7)).
% 128.28/124.42  fof(tsy_c_hAPP_arg2, axiom, ! [_483979, _483982, _483985, _483988] : hAPP(_483979, _483982, _483985, ti(_483979, _483988)) = hAPP(_483979, _483982, _483985, _483988), file('/export/starexec/sandbox/benchmark/theBenchmark.p', tsy_c_hAPP_arg2)).
% 128.28/124.42  fof(fact_3_thin, axiom, ! [_484201, _484204, _484207, _484210] : (hBOOL(hAPP(fun(hoare_509422987triple(_484201), bool), bool, hAPP(fun(hoare_509422987triple(_484201), bool), fun(fun(hoare_509422987triple(_484201), bool), bool), hoare_122391849derivs(_484201), _484207), _484210)) => hBOOL(hAPP(fun(hoare_509422987triple(_484201), bool), bool, hAPP(fun(hoare_509422987triple(_484201), bool), fun(fun(hoare_509422987triple(_484201), bool), bool), ord_less_eq(fun(hoare_509422987triple(_484201), bool)), _484207), _484204)) => hBOOL(hAPP(fun(hoare_509422987triple(_484201), bool), bool, hAPP(fun(hoare_509422987triple(_484201), bool), fun(fun(hoare_509422987triple(_484201), bool), bool), hoare_122391849derivs(_484201), _484204), _484210))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_3_thin)).
% 128.28/124.42  fof(fact_10_empty__subsetI, axiom, ! [_484888, _484891] : hBOOL(hAPP(fun(_484888, bool), bool, hAPP(fun(_484888, bool), fun(fun(_484888, bool), bool), ord_less_eq(fun(_484888, bool)), bot_bot(fun(_484888, bool))), _484891)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_10_empty__subsetI)).
% 128.28/124.42  fof(fact_19_MGF, axiom, ! [_485183] : (hBOOL(hoare_1883395792gleton) => hBOOL(wT_bodies) => hBOOL(hAPP(com, bool, wt, _485183)) => hBOOL(hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), hoare_122391849derivs(state), bot_bot(fun(hoare_509422987triple(state), bool))), hAPP(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool), hAPP(hoare_509422987triple(state), fun(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool)), insert(hoare_509422987triple(state)), hAPP(com, hoare_509422987triple(state), hoare_Mirabelle_MGT, _485183)), bot_bot(fun(hoare_509422987triple(state), bool)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_19_MGF)).
% 128.28/124.42  fof(fact_92_WT__bodiesD, axiom, ! [_485954, _485957] : (hBOOL(wT_bodies) => hAPP(pname, option(com), body, _485954) = hAPP(com, option(com), some(com), _485957) => hBOOL(hAPP(com, bool, wt, _485957))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_92_WT__bodiesD)).
% 128.28/124.42  fof(conj_0, hypothesis, hBOOL(hoare_1883395792gleton), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)).
% 128.28/124.42  fof(conj_1, hypothesis, hBOOL(wT_bodies), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_1)).
% 128.28/124.42  fof(conj_5, hypothesis, hAPP(pname, option(com), body, pn) = hAPP(com, option(com), some(com), y), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_5)).
% 128.28/124.42  
% 128.28/124.42  cnf(1, plain, [hBOOL(hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), hoare_122391849derivs(state), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body))), hAPP(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool), hAPP(hoare_509422987triple(state), fun(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool)), insert(hoare_509422987triple(state)), hAPP(com, hoare_509422987triple(state), hoare_Mirabelle_MGT, y)), bot_bot(fun(hoare_509422987triple(state), bool)))))], clausify(conj_7)).
% 128.28/124.42  cnf(2, plain, [-(hBOOL(_190700)), _190651 = _190700, hBOOL(_190651)], theory(equality)).
% 128.28/124.42  cnf(3, plain, [-(hAPP(_214478, _214540, _214601, ti(_214478, _214661)) = hAPP(_214478, _214540, _214601, _214661))], clausify(tsy_c_hAPP_arg2)).
% 128.28/124.42  cnf(4, plain, [hBOOL(hAPP(fun(hoare_509422987triple(_221509), bool), bool, hAPP(fun(hoare_509422987triple(_221509), bool), fun(fun(hoare_509422987triple(_221509), bool), bool), hoare_122391849derivs(_221509), _221814), _221965)), hBOOL(hAPP(fun(hoare_509422987triple(_221509), bool), bool, hAPP(fun(hoare_509422987triple(_221509), bool), fun(fun(hoare_509422987triple(_221509), bool), bool), ord_less_eq(fun(hoare_509422987triple(_221509), bool)), _221814), _221662)), -(hBOOL(hAPP(fun(hoare_509422987triple(_221509), bool), bool, hAPP(fun(hoare_509422987triple(_221509), bool), fun(fun(hoare_509422987triple(_221509), bool), bool), hoare_122391849derivs(_221509), _221662), _221965)))], clausify(fact_3_thin)).
% 128.28/124.42  cnf(5, plain, [-(hBOOL(hAPP(fun(_240665, bool), bool, hAPP(fun(_240665, bool), fun(fun(_240665, bool), bool), ord_less_eq(fun(_240665, bool)), bot_bot(fun(_240665, bool))), _240735)))], clausify(fact_10_empty__subsetI)).
% 128.28/124.42  cnf(6, plain, [hBOOL(hoare_1883395792gleton), hBOOL(wT_bodies), hBOOL(hAPP(com, bool, wt, _258843)), -(hBOOL(hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), hoare_122391849derivs(state), bot_bot(fun(hoare_509422987triple(state), bool))), hAPP(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool), hAPP(hoare_509422987triple(state), fun(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool)), insert(hoare_509422987triple(state)), hAPP(com, hoare_509422987triple(state), hoare_Mirabelle_MGT, _258843)), bot_bot(fun(hoare_509422987triple(state), bool))))))], clausify(fact_19_MGF)).
% 128.28/124.42  cnf(7, plain, [hBOOL(wT_bodies), hAPP(pname, option(com), body, _396937) = hAPP(com, option(com), some(com), _396999), -(hBOOL(hAPP(com, bool, wt, _396999)))], clausify(fact_92_WT__bodiesD)).
% 128.28/124.42  cnf(8, plain, [-(hBOOL(hoare_1883395792gleton))], clausify(conj_0)).
% 128.28/124.42  cnf(9, plain, [-(hBOOL(wT_bodies))], clausify(conj_1)).
% 128.28/124.42  cnf(10, plain, [-(hAPP(pname, option(com), body, pn) = hAPP(com, option(com), some(com), y))], clausify(conj_5)).
% 128.28/124.42  
% 128.28/124.42  cnf('1',plain,[hBOOL(hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), hoare_122391849derivs(state), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body))), hAPP(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool), hAPP(hoare_509422987triple(state), fun(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool)), insert(hoare_509422987triple(state)), hAPP(com, hoare_509422987triple(state), hoare_Mirabelle_MGT, y)), bot_bot(fun(hoare_509422987triple(state), bool)))))],start(1)).
% 128.28/124.42  cnf('1.1',plain,[-(hBOOL(hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), hoare_122391849derivs(state), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body))), hAPP(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool), hAPP(hoare_509422987triple(state), fun(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool)), insert(hoare_509422987triple(state)), hAPP(com, hoare_509422987triple(state), hoare_Mirabelle_MGT, y)), bot_bot(fun(hoare_509422987triple(state), bool)))))), hBOOL(hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), hoare_122391849derivs(state), bot_bot(fun(hoare_509422987triple(state), bool))), hAPP(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool), hAPP(hoare_509422987triple(state), fun(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool)), insert(hoare_509422987triple(state)), hAPP(com, hoare_509422987triple(state), hoare_Mirabelle_MGT, y)), bot_bot(fun(hoare_509422987triple(state), bool))))), hBOOL(hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), ord_less_eq(fun(hoare_509422987triple(state), bool)), bot_bot(fun(hoare_509422987triple(state), bool))), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body))))],extension(4,bind([[_221965, _221509, _221814, _221662], [hAPP(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool), hAPP(hoare_509422987triple(state), fun(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool)), insert(hoare_509422987triple(state)), hAPP(com, hoare_509422987triple(state), hoare_Mirabelle_MGT, y)), bot_bot(fun(hoare_509422987triple(state), bool))), state, bot_bot(fun(hoare_509422987triple(state), bool)), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body))]]))).
% 128.28/124.42  cnf('1.1.1',plain,[-(hBOOL(hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), hoare_122391849derivs(state), bot_bot(fun(hoare_509422987triple(state), bool))), hAPP(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool), hAPP(hoare_509422987triple(state), fun(fun(hoare_509422987triple(state), bool), fun(hoare_509422987triple(state), bool)), insert(hoare_509422987triple(state)), hAPP(com, hoare_509422987triple(state), hoare_Mirabelle_MGT, y)), bot_bot(fun(hoare_509422987triple(state), bool)))))), hBOOL(hoare_1883395792gleton), hBOOL(wT_bodies), hBOOL(hAPP(com, bool, wt, y))],extension(6,bind([[_258843], [y]]))).
% 128.28/124.42  cnf('1.1.1.1',plain,[-(hBOOL(hoare_1883395792gleton))],extension(8)).
% 128.28/124.42  cnf('1.1.1.2',plain,[-(hBOOL(wT_bodies))],extension(9)).
% 128.28/124.42  cnf('1.1.1.3',plain,[-(hBOOL(hAPP(com, bool, wt, y))), hBOOL(wT_bodies), hAPP(pname, option(com), body, pn) = hAPP(com, option(com), some(com), y)],extension(7,bind([[_396937, _396999], [pn, y]]))).
% 128.28/124.42  cnf('1.1.1.3.1',plain,[-(hBOOL(wT_bodies))],extension(9)).
% 128.28/124.42  cnf('1.1.1.3.2',plain,[-(hAPP(pname, option(com), body, pn) = hAPP(com, option(com), some(com), y))],extension(10)).
% 128.28/124.42  cnf('1.1.2',plain,[-(hBOOL(hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), ord_less_eq(fun(hoare_509422987triple(state), bool)), bot_bot(fun(hoare_509422987triple(state), bool))), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body))))), hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), ord_less_eq(fun(hoare_509422987triple(state), bool)), bot_bot(fun(hoare_509422987triple(state), bool))), ti(fun(hoare_509422987triple(state), bool), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body)))) = hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), ord_less_eq(fun(hoare_509422987triple(state), bool)), bot_bot(fun(hoare_509422987triple(state), bool))), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body))), hBOOL(hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), ord_less_eq(fun(hoare_509422987triple(state), bool)), bot_bot(fun(hoare_509422987triple(state), bool))), ti(fun(hoare_509422987triple(state), bool), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body)))))],extension(2,bind([[_190700, _190651], [hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), ord_less_eq(fun(hoare_509422987triple(state), bool)), bot_bot(fun(hoare_509422987triple(state), bool))), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body))), hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), ord_less_eq(fun(hoare_509422987triple(state), bool)), bot_bot(fun(hoare_509422987triple(state), bool))), ti(fun(hoare_509422987triple(state), bool), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body))))]]))).
% 128.28/124.42  cnf('1.1.2.1',plain,[-(hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), ord_less_eq(fun(hoare_509422987triple(state), bool)), bot_bot(fun(hoare_509422987triple(state), bool))), ti(fun(hoare_509422987triple(state), bool), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body)))) = hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), ord_less_eq(fun(hoare_509422987triple(state), bool)), bot_bot(fun(hoare_509422987triple(state), bool))), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body))))],extension(3,bind([[_214478, _214540, _214601, _214661], [fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), ord_less_eq(fun(hoare_509422987triple(state), bool)), bot_bot(fun(hoare_509422987triple(state), bool))), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body))]]))).
% 128.28/124.42  cnf('1.1.2.2',plain,[-(hBOOL(hAPP(fun(hoare_509422987triple(state), bool), bool, hAPP(fun(hoare_509422987triple(state), bool), fun(fun(hoare_509422987triple(state), bool), bool), ord_less_eq(fun(hoare_509422987triple(state), bool)), bot_bot(fun(hoare_509422987triple(state), bool))), ti(fun(hoare_509422987triple(state), bool), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body))))))],extension(5,bind([[_240665, _240735], [hoare_509422987triple(state), ti(fun(hoare_509422987triple(state), bool), hAPP(fun(pname, bool), fun(hoare_509422987triple(state), bool), hAPP(fun(pname, hoare_509422987triple(state)), fun(fun(pname, bool), fun(hoare_509422987triple(state), bool)), image(pname, hoare_509422987triple(state)), hAPP(fun(pname, com), fun(pname, hoare_509422987triple(state)), hAPP(fun(com, hoare_509422987triple(state)), fun(fun(pname, com), fun(pname, hoare_509422987triple(state))), combb(com, hoare_509422987triple(state), pname), hoare_Mirabelle_MGT), body_1)), hAPP(fun(pname, option(com)), fun(pname, bool), dom(pname, com), body)))]]))).
% 128.28/124.42  %-----------------------------------------------------
% 128.28/124.42  
% 128.28/124.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------