TSTP Solution File: SWW474+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW474+3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 : 300s
% DateTime : Tue Apr 30 20:50:24 EDT 2024
% Result : Theorem 26.84s 3.89s
% Output : CNFRefutation 26.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW474+3 : TPTP v8.1.2. Released v5.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 22:57:35 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.46 % Drodi V3.6.0
% 26.84/3.89 % Refutation found
% 26.84/3.89 % SZS status Theorem for theBenchmark: Theorem is valid
% 26.84/3.89 % SZS output start CNFRefutation for theBenchmark
% 26.84/3.89 fof(f36,axiom,(
% 26.84/3.89 is_fun_pname_bool(bot_bo844097828e_bool) ),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f83,axiom,(
% 26.84/3.89 (! [G_2] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_2),bot_bo784226126e_bool)) )),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f87,axiom,(
% 26.84/3.89 (! [G_2,G_3,Ts] :( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_3),Ts))=> ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_2),G_3))=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_2),Ts)) ) ) )),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f149,axiom,(
% 26.84/3.89 (! [C] :( hBOOL(hoare_1795711768gleton)=> ( hBOOL(wT_bodies)=> ( hBOOL(hAPP_com_bool(wt,C))=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,C)),bot_bo784226126e_bool))) ) ) ) )),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f176,axiom,(
% 26.84/3.89 (! [P_1] :( hAPP_f806699093e_bool(collec637225377_state,P_1) = bot_bo784226126e_bool<=> (! [X_2] : ~ hBOOL(hAPP_H242767318e_bool(P_1,X_2)) )) )),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f285,axiom,(
% 26.84/3.89 (! [A_4,A] : hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,A_4),A) != bot_bo784226126e_bool )),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f323,axiom,(
% 26.84/3.89 (! [P_1] : hAPP_f806699093e_bool(collec637225377_state,P_1) = P_1 )),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f378,axiom,(
% 26.84/3.89 (! [A_4] : hAPP_f806699093e_bool(collec637225377_state,hAPP_H216526335e_bool(fequal1440809015_state,A_4)) = hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,A_4),bot_bo784226126e_bool) )),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f380,axiom,(
% 26.84/3.89 (! [Pn,B_4] :( hBOOL(wT_bodies)=> ( hAPP_p799580910on_com(body,Pn) = hAPP_com_option_com(some_com,B_4)=> hBOOL(hAPP_com_bool(wt,B_4)) ) ) )),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f1011,axiom,(
% 26.84/3.89 (! [X_1,Y_2,Z] :( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,Y_2),Z)))<=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),Y_2)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),Z))) ) )),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f1014,axiom,(
% 26.84/3.89 (! [X_1,Y_2,Z] :( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,Y_2),Z)))<=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),Y_2)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),Z))) ) )),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f1159,axiom,(
% 26.84/3.89 (! [X_1,Y_2,Z] :( (! [X_2,Y_3,Z_1] :( ( is_bool(X_2)& is_bool(Y_3)& is_bool(Z_1) )=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,Y_3),Z_1)))<=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),Y_3)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),Z_1))) ) ))=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,Y_2),Z)))<=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),Y_2)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),Z))) ) ) )),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f1162,axiom,(
% 26.84/3.89 (! [X_1,Y_2,Z] :( (! [X_2,Y_3,Z_1] :( ( is_bool(X_2)& is_bool(Y_3)& is_bool(Z_1) )=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,Y_3),Z_1)))<=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),Y_3)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),Z_1))) ) ))=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,Y_2),Z)))<=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),Y_2)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),Z))) ) ) )),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f1434,hypothesis,(
% 26.84/3.89 hBOOL(hoare_1795711768gleton) ),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f1435,hypothesis,(
% 26.84/3.89 hBOOL(wT_bodies) ),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f1439,hypothesis,(
% 26.84/3.89 hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y) ),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f1441,conjecture,(
% 26.84/3.89 hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))) ),
% 26.84/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.84/3.89 fof(f1442,negated_conjecture,(
% 26.84/3.89 ~(hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))) )),
% 26.84/3.89 inference(negated_conjecture,[status(cth)],[f1441])).
% 26.84/3.89 fof(f1480,plain,(
% 26.84/3.89 is_fun_pname_bool(bot_bo844097828e_bool)),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f36])).
% 26.84/3.89 fof(f1557,plain,(
% 26.84/3.89 ![X0]: (hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),bot_bo784226126e_bool)))),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f83])).
% 26.84/3.89 fof(f1566,plain,(
% 26.84/3.89 ![G_2,G_3,Ts]: (~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_3),Ts))|(~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_2),G_3))|hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_2),Ts))))),
% 26.84/3.89 inference(pre_NNF_transformation,[status(esa)],[f87])).
% 26.84/3.89 fof(f1567,plain,(
% 26.84/3.89 ![G_3,Ts]: (~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_3),Ts))|(![G_2]: (~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_2),G_3))|hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_2),Ts)))))),
% 26.84/3.89 inference(miniscoping,[status(esa)],[f1566])).
% 26.84/3.89 fof(f1568,plain,(
% 26.84/3.89 ![X0,X1,X2]: (~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))|~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X2),X0))|hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X2),X1)))),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f1567])).
% 26.84/3.89 fof(f1733,plain,(
% 26.84/3.89 ![C]: (~hBOOL(hoare_1795711768gleton)|(~hBOOL(wT_bodies)|(~hBOOL(hAPP_com_bool(wt,C))|hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,C)),bot_bo784226126e_bool))))))),
% 26.84/3.89 inference(pre_NNF_transformation,[status(esa)],[f149])).
% 26.84/3.89 fof(f1734,plain,(
% 26.84/3.89 ~hBOOL(hoare_1795711768gleton)|(~hBOOL(wT_bodies)|(![C]: (~hBOOL(hAPP_com_bool(wt,C))|hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,C)),bot_bo784226126e_bool))))))),
% 26.84/3.89 inference(miniscoping,[status(esa)],[f1733])).
% 26.84/3.89 fof(f1735,plain,(
% 26.84/3.89 ![X0]: (~hBOOL(hoare_1795711768gleton)|~hBOOL(wT_bodies)|~hBOOL(hAPP_com_bool(wt,X0))|hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool))))),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f1734])).
% 26.84/3.89 fof(f1816,plain,(
% 26.84/3.89 ![P_1]: ((~hAPP_f806699093e_bool(collec637225377_state,P_1)=bot_bo784226126e_bool|(![X_2]: ~hBOOL(hAPP_H242767318e_bool(P_1,X_2))))&(hAPP_f806699093e_bool(collec637225377_state,P_1)=bot_bo784226126e_bool|(?[X_2]: hBOOL(hAPP_H242767318e_bool(P_1,X_2)))))),
% 26.84/3.89 inference(NNF_transformation,[status(esa)],[f176])).
% 26.84/3.89 fof(f1817,plain,(
% 26.84/3.89 (![P_1]: (~hAPP_f806699093e_bool(collec637225377_state,P_1)=bot_bo784226126e_bool|(![X_2]: ~hBOOL(hAPP_H242767318e_bool(P_1,X_2)))))&(![P_1]: (hAPP_f806699093e_bool(collec637225377_state,P_1)=bot_bo784226126e_bool|(?[X_2]: hBOOL(hAPP_H242767318e_bool(P_1,X_2)))))),
% 26.84/3.89 inference(miniscoping,[status(esa)],[f1816])).
% 26.84/3.89 fof(f1818,plain,(
% 26.84/3.89 (![P_1]: (~hAPP_f806699093e_bool(collec637225377_state,P_1)=bot_bo784226126e_bool|(![X_2]: ~hBOOL(hAPP_H242767318e_bool(P_1,X_2)))))&(![P_1]: (hAPP_f806699093e_bool(collec637225377_state,P_1)=bot_bo784226126e_bool|hBOOL(hAPP_H242767318e_bool(P_1,sk0_4(P_1)))))),
% 26.84/3.89 inference(skolemization,[status(esa)],[f1817])).
% 26.84/3.89 fof(f1819,plain,(
% 26.84/3.89 ![X0,X1]: (~hAPP_f806699093e_bool(collec637225377_state,X0)=bot_bo784226126e_bool|~hBOOL(hAPP_H242767318e_bool(X0,X1)))),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f1818])).
% 26.84/3.89 fof(f2143,plain,(
% 26.84/3.89 ![X0,X1]: (~hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),X1)=bot_bo784226126e_bool)),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f285])).
% 26.84/3.89 fof(f2258,plain,(
% 26.84/3.89 ![X0]: (hAPP_f806699093e_bool(collec637225377_state,X0)=X0)),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f323])).
% 26.84/3.89 fof(f2415,plain,(
% 26.84/3.89 ![X0]: (hAPP_f806699093e_bool(collec637225377_state,hAPP_H216526335e_bool(fequal1440809015_state,X0))=hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),bot_bo784226126e_bool))),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f378])).
% 26.84/3.89 fof(f2422,plain,(
% 26.84/3.89 ![Pn,B_4]: (~hBOOL(wT_bodies)|(~hAPP_p799580910on_com(body,Pn)=hAPP_com_option_com(some_com,B_4)|hBOOL(hAPP_com_bool(wt,B_4))))),
% 26.84/3.89 inference(pre_NNF_transformation,[status(esa)],[f380])).
% 26.84/3.89 fof(f2423,plain,(
% 26.84/3.89 ~hBOOL(wT_bodies)|(![B_4]: ((![Pn]: ~hAPP_p799580910on_com(body,Pn)=hAPP_com_option_com(some_com,B_4))|hBOOL(hAPP_com_bool(wt,B_4))))),
% 26.84/3.89 inference(miniscoping,[status(esa)],[f2422])).
% 26.84/3.89 fof(f2424,plain,(
% 26.84/3.89 ![X0,X1]: (~hBOOL(wT_bodies)|~hAPP_p799580910on_com(body,X0)=hAPP_com_option_com(some_com,X1)|hBOOL(hAPP_com_bool(wt,X1)))),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f2423])).
% 26.84/3.89 fof(f4483,plain,(
% 26.84/3.89 ![X_1,Y_2,Z]: ((~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,Y_2),Z)))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),Y_2)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),Z))))&(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,Y_2),Z)))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),Y_2)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),Z)))))),
% 26.84/3.89 inference(NNF_transformation,[status(esa)],[f1011])).
% 26.84/3.89 fof(f4484,plain,(
% 26.84/3.89 (![X_1,Y_2,Z]: (~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,Y_2),Z)))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),Y_2)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),Z)))))&(![X_1,Y_2,Z]: (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,Y_2),Z)))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),Y_2)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),Z)))))),
% 26.84/3.89 inference(miniscoping,[status(esa)],[f4483])).
% 26.84/3.89 fof(f4485,plain,(
% 26.84/3.89 ![X0,X1,X2]: (~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X0),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X1),X2)))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X0),X1)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X0),X2))))),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f4484])).
% 26.84/3.89 fof(f4486,plain,(
% 26.84/3.89 ![X0,X1,X2]: (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X0),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X1),X2)))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X0),X1)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X0),X2))))),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f4484])).
% 26.84/3.89 fof(f4489,plain,(
% 26.84/3.89 ![X_1,Y_2,Z]: ((~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,Y_2),Z)))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),Y_2)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),Z))))&(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,Y_2),Z)))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),Y_2)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),Z)))))),
% 26.84/3.89 inference(NNF_transformation,[status(esa)],[f1014])).
% 26.84/3.89 fof(f4490,plain,(
% 26.84/3.89 (![X_1,Y_2,Z]: (~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,Y_2),Z)))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),Y_2)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),Z)))))&(![X_1,Y_2,Z]: (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,Y_2),Z)))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),Y_2)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),Z)))))),
% 26.84/3.89 inference(miniscoping,[status(esa)],[f4489])).
% 26.84/3.89 fof(f4491,plain,(
% 26.84/3.89 ![X0,X1,X2]: (~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X0),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X1),X2)))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X0),X1)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X0),X2))))),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f4490])).
% 26.84/3.89 fof(f4492,plain,(
% 26.84/3.89 ![X0,X1,X2]: (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X0),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X1),X2)))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X0),X1)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X0),X2))))),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f4490])).
% 26.84/3.89 fof(f4888,plain,(
% 26.84/3.89 ![X_1,Y_2,Z]: ((?[X_2,Y_3,Z_1]: (((is_bool(X_2)&is_bool(Y_3))&is_bool(Z_1))&(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,Y_3),Z_1)))<~>hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),Y_3)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),Z_1))))))|(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,Y_2),Z)))<=>hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),Y_2)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_1),Z)))))),
% 26.84/3.89 inference(pre_NNF_transformation,[status(esa)],[f1159])).
% 26.84/3.89 fof(f4889,plain,(
% 26.84/3.89 ![X_2,Y_3,Z_1]: (pd0_11(Z_1,Y_3,X_2)=>(((is_bool(X_2)&is_bool(Y_3))&is_bool(Z_1))&(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,Y_3),Z_1)))<~>hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),Y_3)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),Z_1))))))),
% 26.84/3.89 introduced(predicate_definition,[f4888])).
% 26.84/3.89 fof(f4907,plain,(
% 26.84/3.89 ![X_1,Y_2,Z]: ((?[X_2,Y_3,Z_1]: (((is_bool(X_2)&is_bool(Y_3))&is_bool(Z_1))&(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,Y_3),Z_1)))<~>hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),Y_3)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),Z_1))))))|(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,Y_2),Z)))<=>hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),Y_2)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),Z)))))),
% 26.84/3.89 inference(pre_NNF_transformation,[status(esa)],[f1162])).
% 26.84/3.89 fof(f4908,plain,(
% 26.84/3.89 ![X_2,Y_3,Z_1]: (pd0_12(Z_1,Y_3,X_2)=>(((is_bool(X_2)&is_bool(Y_3))&is_bool(Z_1))&(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,Y_3),Z_1)))<~>hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),Y_3)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),Z_1))))))),
% 26.84/3.89 introduced(predicate_definition,[f4907])).
% 26.84/3.89 fof(f5465,plain,(
% 26.84/3.89 hBOOL(hoare_1795711768gleton)),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f1434])).
% 26.84/3.89 fof(f5466,plain,(
% 26.84/3.89 hBOOL(wT_bodies)),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f1435])).
% 26.84/3.89 fof(f5470,plain,(
% 26.84/3.89 hAPP_p799580910on_com(body,pn)=hAPP_com_option_com(some_com,y)),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f1439])).
% 26.84/3.89 fof(f5472,plain,(
% 26.84/3.89 ~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool)))),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f1442])).
% 26.84/3.89 fof(f5538,plain,(
% 26.84/3.89 ![X_2,Y_3,Z_1]: (~pd0_11(Z_1,Y_3,X_2)|(((is_bool(X_2)&is_bool(Y_3))&is_bool(Z_1))&(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,Y_3),Z_1)))<~>hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),Y_3)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),Z_1))))))),
% 26.84/3.89 inference(pre_NNF_transformation,[status(esa)],[f4889])).
% 26.84/3.89 fof(f5539,plain,(
% 26.84/3.89 ![X_2,Y_3,Z_1]: (~pd0_11(Z_1,Y_3,X_2)|(((is_bool(X_2)&is_bool(Y_3))&is_bool(Z_1))&((hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,Y_3),Z_1)))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),Y_3)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),Z_1))))&(~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,Y_3),Z_1)))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),Y_3)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_2),Z_1)))))))),
% 26.84/3.89 inference(NNF_transformation,[status(esa)],[f5538])).
% 26.84/3.89 fof(f5543,plain,(
% 26.84/3.89 ![X0,X1,X2]: (~pd0_11(X0,X1,X2)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X2),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X1),X0)))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X2),X1)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X2),X0))))),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f5539])).
% 26.84/3.89 fof(f5544,plain,(
% 26.84/3.89 ![X0,X1,X2]: (~pd0_11(X0,X1,X2)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X2),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X1),X0)))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X2),X1)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X2),X0))))),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f5539])).
% 26.84/3.89 fof(f5545,plain,(
% 26.84/3.89 ![X_2,Y_3,Z_1]: (~pd0_12(Z_1,Y_3,X_2)|(((is_bool(X_2)&is_bool(Y_3))&is_bool(Z_1))&(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,Y_3),Z_1)))<~>hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),Y_3)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),Z_1))))))),
% 26.84/3.89 inference(pre_NNF_transformation,[status(esa)],[f4908])).
% 26.84/3.89 fof(f5546,plain,(
% 26.84/3.89 ![X_2,Y_3,Z_1]: (~pd0_12(Z_1,Y_3,X_2)|(((is_bool(X_2)&is_bool(Y_3))&is_bool(Z_1))&((hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,Y_3),Z_1)))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),Y_3)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),Z_1))))&(~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,Y_3),Z_1)))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),Y_3)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X_2),Z_1)))))))),
% 26.84/3.89 inference(NNF_transformation,[status(esa)],[f5545])).
% 26.84/3.89 fof(f5550,plain,(
% 26.84/3.89 ![X0,X1,X2]: (~pd0_12(X0,X1,X2)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X2),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X1),X0)))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X2),X1)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X2),X0))))),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f5546])).
% 26.84/3.89 fof(f5551,plain,(
% 26.84/3.89 ![X0,X1,X2]: (~pd0_12(X0,X1,X2)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X2),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X1),X0)))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X2),X1)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X2),X0))))),
% 26.84/3.89 inference(cnf_transformation,[status(esa)],[f5546])).
% 26.84/3.89 fof(f5552,plain,(
% 26.84/3.89 spl0_0 <=> hBOOL(hoare_1795711768gleton)),
% 26.84/3.89 introduced(split_symbol_definition)).
% 26.84/3.89 fof(f5554,plain,(
% 26.84/3.89 ~hBOOL(hoare_1795711768gleton)|spl0_0),
% 26.84/3.89 inference(component_clause,[status(thm)],[f5552])).
% 26.84/3.89 fof(f5555,plain,(
% 26.84/3.89 spl0_1 <=> hBOOL(wT_bodies)),
% 26.84/3.89 introduced(split_symbol_definition)).
% 26.84/3.89 fof(f5557,plain,(
% 26.84/3.89 ~hBOOL(wT_bodies)|spl0_1),
% 26.84/3.89 inference(component_clause,[status(thm)],[f5555])).
% 26.84/3.89 fof(f5558,plain,(
% 26.84/3.89 spl0_2 <=> ~hBOOL(hAPP_com_bool(wt,X0))|hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))),
% 26.84/3.89 introduced(split_symbol_definition)).
% 26.84/3.89 fof(f5559,plain,(
% 26.84/3.89 ![X0]: (~hBOOL(hAPP_com_bool(wt,X0))|hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))|~spl0_2)),
% 26.84/3.89 inference(component_clause,[status(thm)],[f5558])).
% 26.84/3.89 fof(f5561,plain,(
% 26.84/3.89 ~spl0_0|~spl0_1|spl0_2),
% 26.84/3.89 inference(split_clause,[status(thm)],[f1735,f5552,f5555,f5558])).
% 26.84/3.89 fof(f5574,plain,(
% 26.84/3.89 spl0_6 <=> ~hAPP_p799580910on_com(body,X0)=hAPP_com_option_com(some_com,X1)|hBOOL(hAPP_com_bool(wt,X1))),
% 26.84/3.89 introduced(split_symbol_definition)).
% 26.84/3.89 fof(f5575,plain,(
% 26.84/3.89 ![X0,X1]: (~hAPP_p799580910on_com(body,X0)=hAPP_com_option_com(some_com,X1)|hBOOL(hAPP_com_bool(wt,X1))|~spl0_6)),
% 26.84/3.89 inference(component_clause,[status(thm)],[f5574])).
% 26.84/3.89 fof(f5577,plain,(
% 26.84/3.89 ~spl0_1|spl0_6),
% 26.84/3.89 inference(split_clause,[status(thm)],[f2424,f5555,f5574])).
% 26.84/3.89 fof(f5627,plain,(
% 26.84/3.89 spl0_19 <=> hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X0))),
% 26.84/3.89 introduced(split_symbol_definition)).
% 26.84/3.89 fof(f5628,plain,(
% 26.84/3.89 ![X0]: (hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X0))|~spl0_19)),
% 26.84/3.89 inference(component_clause,[status(thm)],[f5627])).
% 26.84/3.89 fof(f5693,plain,(
% 26.84/3.89 spl0_34 <=> pd0_11(sk0_225,sk0_224,sk0_223)),
% 26.84/3.89 introduced(split_symbol_definition)).
% 26.84/3.89 fof(f5694,plain,(
% 26.84/3.89 pd0_11(sk0_225,sk0_224,sk0_223)|~spl0_34),
% 26.84/3.89 inference(component_clause,[status(thm)],[f5693])).
% 26.84/3.89 fof(f5730,plain,(
% 26.84/3.89 spl0_44 <=> pd0_12(sk0_234,sk0_233,sk0_232)),
% 26.84/3.89 introduced(split_symbol_definition)).
% 26.84/3.89 fof(f5731,plain,(
% 26.84/3.89 pd0_12(sk0_234,sk0_233,sk0_232)|~spl0_44),
% 26.84/3.89 inference(component_clause,[status(thm)],[f5730])).
% 26.84/3.89 fof(f5867,plain,(
% 26.84/3.89 ![X0]: (hAPP_H216526335e_bool(fequal1440809015_state,X0)=hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),bot_bo784226126e_bool))),
% 26.84/3.89 inference(forward_demodulation,[status(thm)],[f2258,f2415])).
% 26.84/3.89 fof(f6252,plain,(
% 26.84/3.89 ~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y))))),
% 26.84/3.89 inference(forward_demodulation,[status(thm)],[f5867,f5472])).
% 26.84/3.89 fof(f6256,plain,(
% 26.84/3.89 ![X0,X1,X2]: (~pd0_11(X0,X1,X2)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X2),X1)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X2),X0))))),
% 26.84/3.89 inference(forward_subsumption_resolution,[status(thm)],[f5543,f4491])).
% 26.84/3.89 fof(f6257,plain,(
% 26.84/3.89 ![X0,X1,X2]: (~pd0_11(X0,X1,X2)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X2),X1)),hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X2),X0))))),
% 26.84/3.89 inference(forward_subsumption_resolution,[status(thm)],[f5544,f4492])).
% 26.84/3.89 fof(f6258,plain,(
% 26.84/3.89 ![X0,X1,X2]: (~pd0_12(X0,X1,X2)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X2),X1)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X2),X0))))),
% 26.84/3.89 inference(forward_subsumption_resolution,[status(thm)],[f5550,f4485])).
% 26.84/3.89 fof(f6259,plain,(
% 26.84/3.89 ![X0,X1,X2]: (~pd0_12(X0,X1,X2)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X2),X1)),hAPP_bool_bool(hAPP_b589554111l_bool(semila310582991f_bool,X2),X0))))),
% 26.84/3.89 inference(forward_subsumption_resolution,[status(thm)],[f5551,f4486])).
% 26.84/3.89 fof(f6272,plain,(
% 26.84/3.89 $false|spl0_1),
% 26.84/3.89 inference(forward_subsumption_resolution,[status(thm)],[f5557,f5466])).
% 26.84/3.89 fof(f6273,plain,(
% 26.84/3.89 spl0_1),
% 26.84/3.89 inference(contradiction_clause,[status(thm)],[f6272])).
% 26.84/3.89 fof(f6279,plain,(
% 26.84/3.89 $false|spl0_0),
% 26.84/3.89 inference(forward_subsumption_resolution,[status(thm)],[f5554,f5465])).
% 26.84/3.89 fof(f6280,plain,(
% 26.84/3.89 spl0_0),
% 26.84/3.89 inference(contradiction_clause,[status(thm)],[f6279])).
% 26.84/3.89 fof(f6291,plain,(
% 26.84/3.89 ![X0,X1]: (~X0=bot_bo784226126e_bool|~hBOOL(hAPP_H242767318e_bool(X0,X1)))),
% 26.84/3.89 inference(backward_demodulation,[status(thm)],[f2258,f1819])).
% 26.84/3.89 fof(f6292,plain,(
% 26.84/3.89 ![X0]: (~hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X0)))),
% 26.84/3.89 inference(destructive_equality_resolution,[status(esa)],[f6291])).
% 26.84/3.89 fof(f6409,plain,(
% 26.84/3.89 ![X0,X1,X2]: (~pd0_11(X0,X1,X2))),
% 26.84/3.89 inference(backward_subsumption_resolution,[status(thm)],[f6256,f6257])).
% 26.84/3.89 fof(f6410,plain,(
% 26.84/3.89 ![X0,X1,X2]: (~pd0_12(X0,X1,X2))),
% 26.84/3.89 inference(backward_subsumption_resolution,[status(thm)],[f6258,f6259])).
% 26.84/3.89 fof(f6411,plain,(
% 26.84/3.89 $false|~spl0_19),
% 26.84/3.89 inference(forward_subsumption_resolution,[status(thm)],[f5628,f6292])).
% 26.84/3.89 fof(f6412,plain,(
% 26.84/3.89 ~spl0_19),
% 26.84/3.89 inference(contradiction_clause,[status(thm)],[f6411])).
% 26.84/3.89 fof(f6437,plain,(
% 26.84/3.89 $false|~spl0_34),
% 26.84/3.89 inference(backward_subsumption_resolution,[status(thm)],[f5694,f6409])).
% 26.84/3.89 fof(f6438,plain,(
% 26.84/3.89 ~spl0_34),
% 26.84/3.89 inference(contradiction_clause,[status(thm)],[f6437])).
% 26.84/3.89 fof(f6439,plain,(
% 26.84/3.89 $false|~spl0_44),
% 26.84/3.89 inference(backward_subsumption_resolution,[status(thm)],[f5731,f6410])).
% 26.84/3.89 fof(f6440,plain,(
% 26.84/3.89 ~spl0_44),
% 26.84/3.89 inference(contradiction_clause,[status(thm)],[f6439])).
% 26.84/3.89 fof(f6470,plain,(
% 26.84/3.89 ![X0]: (~hBOOL(hAPP_com_bool(wt,X0))|hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0))))|~spl0_2)),
% 26.84/3.89 inference(backward_demodulation,[status(thm)],[f5867,f5559])).
% 26.84/3.89 fof(f6520,plain,(
% 26.84/3.89 spl0_58 <=> is_fun_pname_bool(bot_bo844097828e_bool)),
% 26.84/3.89 introduced(split_symbol_definition)).
% 26.84/3.89 fof(f6522,plain,(
% 26.84/3.89 ~is_fun_pname_bool(bot_bo844097828e_bool)|spl0_58),
% 26.84/3.89 inference(component_clause,[status(thm)],[f6520])).
% 26.84/3.89 fof(f6533,plain,(
% 26.84/3.89 $false|spl0_58),
% 26.84/3.89 inference(forward_subsumption_resolution,[status(thm)],[f6522,f1480])).
% 26.84/3.89 fof(f6534,plain,(
% 26.84/3.89 spl0_58),
% 26.84/3.89 inference(contradiction_clause,[status(thm)],[f6533])).
% 26.84/3.89 fof(f6701,plain,(
% 26.84/3.89 ![X0]: (~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),hAPP_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y))))|~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),X0)))),
% 26.84/3.89 inference(resolution,[status(thm)],[f1568,f6252])).
% 26.84/3.89 fof(f6975,plain,(
% 26.84/3.89 ~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y))))),
% 26.84/3.89 inference(resolution,[status(thm)],[f6701,f1557])).
% 26.84/3.89 fof(f6987,plain,(
% 26.84/3.89 ![X0]: (~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),hAPP_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y))))|~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),X0)))),
% 26.84/3.89 inference(resolution,[status(thm)],[f6975,f1568])).
% 26.84/3.89 fof(f7195,plain,(
% 26.84/3.89 spl0_64 <=> X1=bot_bo784226126e_bool),
% 26.84/3.89 introduced(split_symbol_definition)).
% 26.84/3.89 fof(f7196,plain,(
% 26.84/3.89 ![X0]: (X0=bot_bo784226126e_bool|~spl0_64)),
% 26.84/3.89 inference(component_clause,[status(thm)],[f7195])).
% 26.84/3.89 fof(f7241,plain,(
% 26.84/3.89 $false|~spl0_64),
% 26.84/3.89 inference(backward_subsumption_resolution,[status(thm)],[f2143,f7196])).
% 26.84/3.89 fof(f7242,plain,(
% 26.84/3.89 ~spl0_64),
% 26.84/3.89 inference(contradiction_clause,[status(thm)],[f7241])).
% 26.84/3.89 fof(f7664,plain,(
% 26.84/3.89 spl0_111 <=> hBOOL(X0)),
% 26.84/3.89 introduced(split_symbol_definition)).
% 26.84/3.89 fof(f7665,plain,(
% 26.84/3.89 ![X0]: (hBOOL(X0)|~spl0_111)),
% 26.84/3.89 inference(component_clause,[status(thm)],[f7664])).
% 26.84/3.89 fof(f8118,plain,(
% 26.84/3.89 ![X0]: (~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),X0))|~spl0_111)),
% 26.84/3.89 inference(backward_subsumption_resolution,[status(thm)],[f6987,f7665])).
% 26.84/3.89 fof(f8119,plain,(
% 26.84/3.89 $false|~spl0_111),
% 26.84/3.89 inference(forward_subsumption_resolution,[status(thm)],[f8118,f7665])).
% 26.84/3.89 fof(f8120,plain,(
% 26.84/3.89 ~spl0_111),
% 26.84/3.89 inference(contradiction_clause,[status(thm)],[f8119])).
% 26.84/3.89 fof(f9036,plain,(
% 26.84/3.89 ~hBOOL(hAPP_com_bool(wt,y))|~spl0_2),
% 26.84/3.89 inference(resolution,[status(thm)],[f6470,f6975])).
% 26.84/3.89 fof(f9269,plain,(
% 26.84/3.89 spl0_140 <=> bot_bot_fun_com_bool=bot_bot_fun_com_bool),
% 26.84/3.89 introduced(split_symbol_definition)).
% 26.84/3.89 fof(f9271,plain,(
% 26.84/3.89 ~bot_bot_fun_com_bool=bot_bot_fun_com_bool|spl0_140),
% 26.84/3.89 inference(component_clause,[status(thm)],[f9269])).
% 26.84/3.93 fof(f9277,plain,(
% 26.84/3.93 $false|spl0_140),
% 26.84/3.93 inference(trivial_equality_resolution,[status(esa)],[f9271])).
% 26.84/3.93 fof(f9278,plain,(
% 26.84/3.93 spl0_140),
% 26.84/3.93 inference(contradiction_clause,[status(thm)],[f9277])).
% 26.84/3.93 fof(f9294,plain,(
% 26.84/3.93 ![X0]: (~hAPP_p799580910on_com(body,X0)=hAPP_com_option_com(some_com,y)|~spl0_2|~spl0_6)),
% 26.84/3.93 inference(resolution,[status(thm)],[f9036,f5575])).
% 26.84/3.93 fof(f9295,plain,(
% 26.84/3.93 ![X0]: (~hAPP_p799580910on_com(body,X0)=hAPP_p799580910on_com(body,pn)|~spl0_2|~spl0_6)),
% 26.84/3.93 inference(forward_demodulation,[status(thm)],[f5470,f9294])).
% 26.84/3.93 fof(f9305,plain,(
% 26.84/3.93 $false|~spl0_2|~spl0_6),
% 26.84/3.93 inference(equality_resolution,[status(esa)],[f9295])).
% 26.84/3.93 fof(f9306,plain,(
% 26.84/3.93 ~spl0_2|~spl0_6),
% 26.84/3.93 inference(contradiction_clause,[status(thm)],[f9305])).
% 26.84/3.93 fof(f9307,plain,(
% 26.84/3.93 $false),
% 26.84/3.93 inference(sat_refutation,[status(thm)],[f5561,f5577,f6273,f6280,f6412,f6438,f6440,f6534,f7242,f8120,f9278,f9306])).
% 26.84/3.93 % SZS output end CNFRefutation for theBenchmark.p
% 27.39/3.97 % Elapsed time: 3.607661 seconds
% 27.39/3.97 % CPU time: 27.233348 seconds
% 27.39/3.97 % Total memory used: 617.411 MB
% 27.39/3.97 % Net memory used: 608.158 MB
%------------------------------------------------------------------------------