TSTP Solution File: SWW318+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWW318+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n023.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 00:47:15 EDT 2022

% Result   : Theorem 30.73s 30.53s
% Output   : Proof 30.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW318+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n023.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 : Sun Jun  5 19:04:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 30.73/30.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.74/30.54  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.74/30.54  
% 30.74/30.54  %-----------------------------------------------------
% 30.74/30.54  fof(conj_1, conjecture, c_Hoare__Mirabelle_Ohoare__derivs(t_a, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q)), v_G), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_1)).
% 30.74/30.54  fof(fact_subset__insertI, axiom, ! [_1729322, _1729325, _1729328] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_1729328, tc_HOL_Obool)), _1729325), hAPP(hAPP(c_Set_Oinsert(_1729328), _1729322), _1729325))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_subset__insertI)).
% 30.74/30.54  fof(fact_thin, axiom, ! [_1729588, _1729591, _1729594, _1729597] : (c_Hoare__Mirabelle_Ohoare__derivs(_1729597, _1729594, _1729591) => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_1729597), tc_HOL_Obool)), _1729594), _1729588)) => c_Hoare__Mirabelle_Ohoare__derivs(_1729597, _1729588, _1729591)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_thin)).
% 30.74/30.54  fof(conj_0, hypothesis, c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
% 30.74/30.54  
% 30.74/30.54  cnf(1, plain, [c_Hoare__Mirabelle_Ohoare__derivs(t_a, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q)), v_G), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))))], clausify(conj_1)).
% 30.74/30.54  cnf(2, plain, [-(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_490196, tc_HOL_Obool)), _490195), hAPP(hAPP(c_Set_Oinsert(_490196), _490194), _490195))))], clausify(fact_subset__insertI)).
% 30.74/30.54  cnf(3, plain, [c_Hoare__Mirabelle_Ohoare__derivs(_492126, _492125, _492124), hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_492126), tc_HOL_Obool)), _492125), _492123)), -(c_Hoare__Mirabelle_Ohoare__derivs(_492126, _492123, _492124))], clausify(fact_thin)).
% 30.74/30.54  cnf(4, plain, [-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))))], clausify(conj_0)).
% 30.74/30.54  
% 30.74/30.54  cnf('1',plain,[c_Hoare__Mirabelle_Ohoare__derivs(t_a, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q)), v_G), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))))],start(1)).
% 30.74/30.54  cnf('1.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q)), v_G), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))))), c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q)), v_G)))],extension(3,bind([[_492124, _492126, _492125, _492123], [hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))), t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q)), v_G)]]))).
% 30.74/30.54  cnf('1.1.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))))],extension(4)).
% 30.74/30.54  cnf('1.1.2',plain,[-(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q)), v_G))))],extension(2,bind([[_490196, _490194, _490195], [tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q), v_G]]))).
% 30.74/30.54  %-----------------------------------------------------
% 30.74/30.55  
% 30.74/30.55  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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