TSTP Solution File: SWW387+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWW387+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% 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 00:47:22 EDT 2022

% Result   : Theorem 31.70s 31.51s
% Output   : Proof 31.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW387+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n021.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 : Sun Jun  5 02:20:34 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 31.70/31.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.70/31.52  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.70/31.52  
% 31.70/31.52  %-----------------------------------------------------
% 31.70/31.52  fof(conj_5, conjecture, c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_5)).
% 31.70/31.52  fof(fact_MGF, axiom, ! [_1626581] : (c_Hoare__Mirabelle_Ostate__not__singleton => c_Com_OWT__bodies => hBOOL(hAPP(c_Com_OWT, _1626581)) => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, _1626581)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_MGF)).
% 31.70/31.52  fof(fact_WT_Oequations_I7_J, axiom, ! [_1626895] : (hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _1626895))) <=> ? [_1626924] : hAPP(c_Com_Obody, _1626895) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _1626924)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_WT_Oequations_I7_J)).
% 31.70/31.52  fof(conj_0, hypothesis, c_Hoare__Mirabelle_Ostate__not__singleton, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
% 31.70/31.52  fof(conj_1, hypothesis, c_Com_OWT__bodies, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_1)).
% 31.70/31.52  fof(conj_3, hypothesis, hAPP(c_Com_Obody, v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), v_y), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_3)).
% 31.70/31.52  
% 31.70/31.52  cnf(1, plain, [c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))], clausify(conj_5)).
% 31.70/31.52  cnf(2, plain, [c_Hoare__Mirabelle_Ostate__not__singleton, c_Com_OWT__bodies, hBOOL(hAPP(c_Com_OWT, _451892)), -(c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, _451892)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)))))], clausify(fact_MGF)).
% 31.70/31.52  cnf(3, plain, [-(hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _452187)))), hAPP(c_Com_Obody, _452187) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _452196)], clausify(fact_WT_Oequations_I7_J)).
% 31.70/31.52  cnf(4, plain, [-(c_Hoare__Mirabelle_Ostate__not__singleton)], clausify(conj_0)).
% 31.70/31.52  cnf(5, plain, [-(c_Com_OWT__bodies)], clausify(conj_1)).
% 31.70/31.52  cnf(6, plain, [-(hAPP(c_Com_Obody, v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), v_y))], clausify(conj_3)).
% 31.70/31.52  
% 31.70/31.52  cnf('1',plain,[c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))],start(1)).
% 31.70/31.52  cnf('1.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))), c_Hoare__Mirabelle_Ostate__not__singleton, c_Com_OWT__bodies, hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, v_pn)))],extension(2,bind([[_451892], [hAPP(c_Com_Ocom_OBODY, v_pn)]]))).
% 31.70/31.52  cnf('1.1.1',plain,[-(c_Hoare__Mirabelle_Ostate__not__singleton)],extension(4)).
% 31.70/31.52  cnf('1.1.2',plain,[-(c_Com_OWT__bodies)],extension(5)).
% 31.70/31.52  cnf('1.1.3',plain,[-(hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, v_pn)))), hAPP(c_Com_Obody, v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), v_y)],extension(3,bind([[_452187, _452196], [v_pn, v_y]]))).
% 31.70/31.52  cnf('1.1.3.1',plain,[-(hAPP(c_Com_Obody, v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), v_y))],extension(6)).
% 31.70/31.52  %-----------------------------------------------------
% 31.70/31.53  
% 31.70/31.53  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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