TSTP Solution File: SWW474+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n009.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 : Wed May 31 12:45:05 EDT 2023
% Result : Theorem 8.78s 1.49s
% Output : CNFRefutation 9.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : SWW474+3 : TPTP v8.1.2. Released v5.3.0.
% 0.05/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n009.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue May 30 10:49:46 EDT 2023
% 0.07/0.27 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 8.78/1.49 % Refutation found
% 8.78/1.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.78/1.49 % SZS output start CNFRefutation for theBenchmark
% 8.78/1.49 fof(f36,axiom,(
% 8.78/1.49 is_fun_pname_bool(bot_bo844097828e_bool) ),
% 8.78/1.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.49 fof(f86,axiom,(
% 8.78/1.49 (! [G_2,G_3,Ts] :( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_3),Ts))=> ( hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,G_3),G_2))=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_2),Ts)) ) ) )),
% 8.78/1.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.49 fof(f106,axiom,(
% 8.78/1.49 (! [A] : hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,bot_bo784226126e_bool),A)) )),
% 8.78/1.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.49 fof(f116,axiom,(
% 8.78/1.49 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)) ),
% 8.78/1.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.49 fof(f149,axiom,(
% 8.78/1.49 (! [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))) ) ) ) )),
% 8.78/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.50 fof(f176,axiom,(
% 8.78/1.50 (! [P_1] :( hAPP_f806699093e_bool(collec637225377_state,P_1) = bot_bo784226126e_bool<=> (! [X_2] : ~ hBOOL(hAPP_H242767318e_bool(P_1,X_2)) )) )),
% 8.78/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.50 fof(f323,axiom,(
% 8.78/1.50 (! [P_1] : hAPP_f806699093e_bool(collec637225377_state,P_1) = P_1 )),
% 8.78/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.50 fof(f378,axiom,(
% 8.78/1.50 (! [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) )),
% 8.78/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.50 fof(f380,axiom,(
% 8.78/1.50 (! [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)) ) ) )),
% 8.78/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.50 fof(f605,axiom,(
% 8.78/1.50 (! [X_1] :( hBOOL(hAPP_com_bool(bot_bot_fun_com_bool,X_1))<=> hBOOL(bot_bot_bool) ) )),
% 8.78/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.50 fof(f606,axiom,(
% 8.78/1.50 (! [X_1] :( hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X_1))<=> hBOOL(bot_bot_bool) ) )),
% 8.78/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.50 fof(f653,axiom,(
% 8.78/1.50 (! [X_1,Y_2] :( ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),Y_2))<=> hBOOL(bot_bot_bool) )<=> ( ( hBOOL(X_1)<=> hBOOL(bot_bot_bool) )& ( hBOOL(Y_2)<=> hBOOL(bot_bot_bool) ) ) ) )),
% 8.78/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.50 fof(f1011,axiom,(
% 8.78/1.50 (! [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))) ) )),
% 8.78/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.50 fof(f1014,axiom,(
% 8.78/1.50 (! [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))) ) )),
% 8.78/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.50 fof(f1159,axiom,(
% 8.78/1.50 (! [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))) ) ) )),
% 8.78/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.52 fof(f1162,axiom,(
% 8.78/1.52 (! [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))) ) ) )),
% 8.78/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.52 fof(f1434,hypothesis,(
% 8.78/1.52 hBOOL(hoare_1795711768gleton) ),
% 8.78/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.52 fof(f1435,hypothesis,(
% 8.78/1.52 hBOOL(wT_bodies) ),
% 8.78/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.52 fof(f1439,hypothesis,(
% 8.78/1.52 hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y) ),
% 8.78/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.52 fof(f1441,conjecture,(
% 8.78/1.52 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))) ),
% 8.78/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.78/1.52 fof(f1442,negated_conjecture,(
% 8.78/1.52 ~(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))) )),
% 8.78/1.52 inference(negated_conjecture,[status(cth)],[f1441])).
% 8.78/1.52 fof(f1480,plain,(
% 8.78/1.52 is_fun_pname_bool(bot_bo844097828e_bool)),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f36])).
% 8.78/1.52 fof(f1563,plain,(
% 8.78/1.52 ![G_2,G_3,Ts]: (~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_3),Ts))|(~hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,G_3),G_2))|hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_2),Ts))))),
% 8.78/1.52 inference(pre_NNF_transformation,[status(esa)],[f86])).
% 8.78/1.52 fof(f1564,plain,(
% 8.78/1.52 ![G_3,Ts]: (~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_3),Ts))|(![G_2]: (~hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,G_3),G_2))|hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_2),Ts)))))),
% 8.78/1.52 inference(miniscoping,[status(esa)],[f1563])).
% 8.78/1.52 fof(f1565,plain,(
% 8.78/1.52 ![X0,X1,X2]: (~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))|~hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,X0),X2))|hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X2),X1)))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f1564])).
% 8.78/1.52 fof(f1614,plain,(
% 8.78/1.52 ![X0]: (hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,bot_bo784226126e_bool),X0)))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f106])).
% 8.78/1.52 fof(f1634,plain,(
% 8.78/1.52 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f116])).
% 8.78/1.52 fof(f1733,plain,(
% 8.78/1.52 ![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))))))),
% 8.78/1.52 inference(pre_NNF_transformation,[status(esa)],[f149])).
% 8.78/1.52 fof(f1734,plain,(
% 8.78/1.52 ~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))))))),
% 8.78/1.52 inference(miniscoping,[status(esa)],[f1733])).
% 8.78/1.52 fof(f1735,plain,(
% 8.78/1.52 ![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))))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f1734])).
% 8.78/1.52 fof(f1816,plain,(
% 8.78/1.52 ![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)))))),
% 8.78/1.52 inference(NNF_transformation,[status(esa)],[f176])).
% 8.78/1.52 fof(f1817,plain,(
% 8.78/1.52 (![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)))))),
% 8.78/1.52 inference(miniscoping,[status(esa)],[f1816])).
% 8.78/1.52 fof(f1818,plain,(
% 8.78/1.52 (![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)))))),
% 8.78/1.52 inference(skolemization,[status(esa)],[f1817])).
% 8.78/1.52 fof(f1819,plain,(
% 8.78/1.52 ![X0,X1]: (~hAPP_f806699093e_bool(collec637225377_state,X0)=bot_bo784226126e_bool|~hBOOL(hAPP_H242767318e_bool(X0,X1)))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f1818])).
% 8.78/1.52 fof(f2258,plain,(
% 8.78/1.52 ![X0]: (hAPP_f806699093e_bool(collec637225377_state,X0)=X0)),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f323])).
% 8.78/1.52 fof(f2415,plain,(
% 8.78/1.52 ![X0]: (hAPP_f806699093e_bool(collec637225377_state,hAPP_H216526335e_bool(fequal1440809015_state,X0))=hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),bot_bo784226126e_bool))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f378])).
% 8.78/1.52 fof(f2422,plain,(
% 8.78/1.52 ![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))))),
% 8.78/1.52 inference(pre_NNF_transformation,[status(esa)],[f380])).
% 8.78/1.52 fof(f2423,plain,(
% 8.78/1.52 ~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))))),
% 8.78/1.52 inference(miniscoping,[status(esa)],[f2422])).
% 8.78/1.52 fof(f2424,plain,(
% 8.78/1.52 ![X0,X1]: (~hBOOL(wT_bodies)|~hAPP_p799580910on_com(body,X0)=hAPP_com_option_com(some_com,X1)|hBOOL(hAPP_com_bool(wt,X1)))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f2423])).
% 8.78/1.52 fof(f3252,plain,(
% 8.78/1.52 ![X_1]: ((~hBOOL(hAPP_com_bool(bot_bot_fun_com_bool,X_1))|hBOOL(bot_bot_bool))&(hBOOL(hAPP_com_bool(bot_bot_fun_com_bool,X_1))|~hBOOL(bot_bot_bool)))),
% 8.78/1.52 inference(NNF_transformation,[status(esa)],[f605])).
% 8.78/1.52 fof(f3253,plain,(
% 8.78/1.52 ((![X_1]: ~hBOOL(hAPP_com_bool(bot_bot_fun_com_bool,X_1)))|hBOOL(bot_bot_bool))&((![X_1]: hBOOL(hAPP_com_bool(bot_bot_fun_com_bool,X_1)))|~hBOOL(bot_bot_bool))),
% 8.78/1.52 inference(miniscoping,[status(esa)],[f3252])).
% 8.78/1.52 fof(f3254,plain,(
% 8.78/1.52 ![X0]: (~hBOOL(hAPP_com_bool(bot_bot_fun_com_bool,X0))|hBOOL(bot_bot_bool))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f3253])).
% 8.78/1.52 fof(f3256,plain,(
% 8.78/1.52 ![X_1]: ((~hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X_1))|hBOOL(bot_bot_bool))&(hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X_1))|~hBOOL(bot_bot_bool)))),
% 8.78/1.52 inference(NNF_transformation,[status(esa)],[f606])).
% 8.78/1.52 fof(f3257,plain,(
% 8.78/1.52 ((![X_1]: ~hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X_1)))|hBOOL(bot_bot_bool))&((![X_1]: hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X_1)))|~hBOOL(bot_bot_bool))),
% 8.78/1.52 inference(miniscoping,[status(esa)],[f3256])).
% 8.78/1.52 fof(f3259,plain,(
% 8.78/1.52 ![X0]: (hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X0))|~hBOOL(bot_bot_bool))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f3257])).
% 8.78/1.52 fof(f3425,plain,(
% 8.78/1.52 ![X_1,Y_2]: (pd0_5(Y_2,X_1)<=>(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X_1),Y_2))<=>hBOOL(bot_bot_bool)))),
% 8.78/1.52 introduced(predicate_definition,[f653])).
% 8.78/1.52 fof(f3426,plain,(
% 8.78/1.52 ![X_1,Y_2]: (pd0_5(Y_2,X_1)<=>((hBOOL(X_1)<=>hBOOL(bot_bot_bool))&(hBOOL(Y_2)<=>hBOOL(bot_bot_bool))))),
% 8.78/1.52 inference(formula_renaming,[status(thm)],[f653,f3425])).
% 8.78/1.52 fof(f3427,plain,(
% 8.78/1.52 ![X_1,Y_2]: ((~pd0_5(Y_2,X_1)|(((~hBOOL(X_1)|hBOOL(bot_bot_bool))&(hBOOL(X_1)|~hBOOL(bot_bot_bool)))&((~hBOOL(Y_2)|hBOOL(bot_bot_bool))&(hBOOL(Y_2)|~hBOOL(bot_bot_bool)))))&(pd0_5(Y_2,X_1)|(((~hBOOL(X_1)|~hBOOL(bot_bot_bool))&(hBOOL(X_1)|hBOOL(bot_bot_bool)))|((~hBOOL(Y_2)|~hBOOL(bot_bot_bool))&(hBOOL(Y_2)|hBOOL(bot_bot_bool))))))),
% 8.78/1.52 inference(NNF_transformation,[status(esa)],[f3426])).
% 8.78/1.52 fof(f3428,plain,(
% 8.78/1.52 (![X_1,Y_2]: (~pd0_5(Y_2,X_1)|(((~hBOOL(X_1)|hBOOL(bot_bot_bool))&(hBOOL(X_1)|~hBOOL(bot_bot_bool)))&((~hBOOL(Y_2)|hBOOL(bot_bot_bool))&(hBOOL(Y_2)|~hBOOL(bot_bot_bool))))))&(![X_1,Y_2]: (pd0_5(Y_2,X_1)|(((~hBOOL(X_1)|~hBOOL(bot_bot_bool))&(hBOOL(X_1)|hBOOL(bot_bot_bool)))|((~hBOOL(Y_2)|~hBOOL(bot_bot_bool))&(hBOOL(Y_2)|hBOOL(bot_bot_bool))))))),
% 8.78/1.52 inference(miniscoping,[status(esa)],[f3427])).
% 8.78/1.52 fof(f3429,plain,(
% 8.78/1.52 ![X0,X1]: (~pd0_5(X0,X1)|~hBOOL(X1)|hBOOL(bot_bot_bool))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f3428])).
% 8.78/1.52 fof(f3436,plain,(
% 8.78/1.52 ![X0,X1]: (pd0_5(X0,X1)|hBOOL(X1)|hBOOL(bot_bot_bool)|hBOOL(X0)|hBOOL(bot_bot_bool))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f3428])).
% 8.78/1.52 fof(f4483,plain,(
% 8.78/1.52 ![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)))))),
% 8.78/1.52 inference(NNF_transformation,[status(esa)],[f1011])).
% 8.78/1.52 fof(f4484,plain,(
% 8.78/1.52 (![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)))))),
% 8.78/1.52 inference(miniscoping,[status(esa)],[f4483])).
% 8.78/1.52 fof(f4485,plain,(
% 8.78/1.52 ![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))))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f4484])).
% 8.78/1.52 fof(f4486,plain,(
% 8.78/1.52 ![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))))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f4484])).
% 8.78/1.52 fof(f4489,plain,(
% 8.78/1.52 ![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)))))),
% 8.78/1.52 inference(NNF_transformation,[status(esa)],[f1014])).
% 8.78/1.52 fof(f4490,plain,(
% 8.78/1.52 (![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)))))),
% 8.78/1.52 inference(miniscoping,[status(esa)],[f4489])).
% 8.78/1.52 fof(f4491,plain,(
% 8.78/1.52 ![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))))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f4490])).
% 8.78/1.52 fof(f4492,plain,(
% 8.78/1.52 ![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))))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f4490])).
% 8.78/1.52 fof(f4888,plain,(
% 8.78/1.52 ![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)))))),
% 8.78/1.52 inference(pre_NNF_transformation,[status(esa)],[f1159])).
% 8.78/1.52 fof(f4889,plain,(
% 8.78/1.52 ![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))))))),
% 8.78/1.52 introduced(predicate_definition,[f4888])).
% 8.78/1.52 fof(f4907,plain,(
% 8.78/1.52 ![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)))))),
% 8.78/1.52 inference(pre_NNF_transformation,[status(esa)],[f1162])).
% 8.78/1.52 fof(f4908,plain,(
% 8.78/1.52 ![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))))))),
% 8.78/1.52 introduced(predicate_definition,[f4907])).
% 8.78/1.52 fof(f5465,plain,(
% 8.78/1.52 hBOOL(hoare_1795711768gleton)),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f1434])).
% 8.78/1.52 fof(f5466,plain,(
% 8.78/1.52 hBOOL(wT_bodies)),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f1435])).
% 8.78/1.52 fof(f5470,plain,(
% 8.78/1.52 hAPP_p799580910on_com(body,pn)=hAPP_com_option_com(some_com,y)),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f1439])).
% 8.78/1.52 fof(f5472,plain,(
% 8.78/1.52 ~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)))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f1442])).
% 8.78/1.52 fof(f5538,plain,(
% 8.78/1.52 ![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))))))),
% 8.78/1.52 inference(pre_NNF_transformation,[status(esa)],[f4889])).
% 8.78/1.52 fof(f5539,plain,(
% 8.78/1.52 ![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)))))))),
% 8.78/1.52 inference(NNF_transformation,[status(esa)],[f5538])).
% 8.78/1.52 fof(f5543,plain,(
% 8.78/1.52 ![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))))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f5539])).
% 8.78/1.52 fof(f5544,plain,(
% 8.78/1.52 ![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))))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f5539])).
% 8.78/1.52 fof(f5545,plain,(
% 8.78/1.52 ![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))))))),
% 8.78/1.52 inference(pre_NNF_transformation,[status(esa)],[f4908])).
% 8.78/1.52 fof(f5546,plain,(
% 8.78/1.52 ![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)))))))),
% 8.78/1.52 inference(NNF_transformation,[status(esa)],[f5545])).
% 8.78/1.52 fof(f5550,plain,(
% 8.78/1.52 ![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))))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f5546])).
% 8.78/1.52 fof(f5551,plain,(
% 8.78/1.52 ![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))))),
% 8.78/1.52 inference(cnf_transformation,[status(esa)],[f5546])).
% 8.78/1.52 fof(f5552,plain,(
% 8.78/1.52 spl0_0 <=> hBOOL(hoare_1795711768gleton)),
% 8.78/1.52 introduced(split_symbol_definition)).
% 8.78/1.52 fof(f5554,plain,(
% 8.78/1.52 ~hBOOL(hoare_1795711768gleton)|spl0_0),
% 8.78/1.52 inference(component_clause,[status(thm)],[f5552])).
% 8.78/1.52 fof(f5555,plain,(
% 8.78/1.52 spl0_1 <=> hBOOL(wT_bodies)),
% 8.78/1.52 introduced(split_symbol_definition)).
% 8.78/1.52 fof(f5557,plain,(
% 8.78/1.52 ~hBOOL(wT_bodies)|spl0_1),
% 8.78/1.52 inference(component_clause,[status(thm)],[f5555])).
% 8.78/1.52 fof(f5558,plain,(
% 8.78/1.52 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)))),
% 8.78/1.52 introduced(split_symbol_definition)).
% 8.78/1.52 fof(f5559,plain,(
% 8.78/1.52 ![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)),
% 8.78/1.52 inference(component_clause,[status(thm)],[f5558])).
% 8.78/1.52 fof(f5561,plain,(
% 8.78/1.52 ~spl0_0|~spl0_1|spl0_2),
% 8.78/1.52 inference(split_clause,[status(thm)],[f1735,f5552,f5555,f5558])).
% 8.78/1.52 fof(f5574,plain,(
% 8.78/1.52 spl0_6 <=> ~hAPP_p799580910on_com(body,X0)=hAPP_com_option_com(some_com,X1)|hBOOL(hAPP_com_bool(wt,X1))),
% 8.78/1.52 introduced(split_symbol_definition)).
% 8.78/1.52 fof(f5575,plain,(
% 8.78/1.52 ![X0,X1]: (~hAPP_p799580910on_com(body,X0)=hAPP_com_option_com(some_com,X1)|hBOOL(hAPP_com_bool(wt,X1))|~spl0_6)),
% 8.78/1.52 inference(component_clause,[status(thm)],[f5574])).
% 8.78/1.52 fof(f5577,plain,(
% 8.78/1.52 ~spl0_1|spl0_6),
% 8.78/1.52 inference(split_clause,[status(thm)],[f2424,f5555,f5574])).
% 8.78/1.52 fof(f5589,plain,(
% 8.78/1.52 spl0_10 <=> hBOOL(bot_bot_bool)),
% 8.78/1.52 introduced(split_symbol_definition)).
% 8.78/1.52 fof(f5615,plain,(
% 8.78/1.52 spl0_16 <=> ~hBOOL(hAPP_com_bool(bot_bot_fun_com_bool,X0))),
% 8.78/1.52 introduced(split_symbol_definition)).
% 8.78/1.52 fof(f5616,plain,(
% 8.78/1.52 ![X0]: (~hBOOL(hAPP_com_bool(bot_bot_fun_com_bool,X0))|~spl0_16)),
% 8.78/1.52 inference(component_clause,[status(thm)],[f5615])).
% 8.78/1.52 fof(f5618,plain,(
% 8.78/1.52 spl0_16|spl0_10),
% 8.78/1.52 inference(split_clause,[status(thm)],[f3254,f5615,f5589])).
% 8.78/1.52 fof(f5627,plain,(
% 8.78/1.52 spl0_19 <=> hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X0))),
% 8.78/1.52 introduced(split_symbol_definition)).
% 8.78/1.52 fof(f5628,plain,(
% 8.78/1.52 ![X0]: (hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X0))|~spl0_19)),
% 8.78/1.52 inference(component_clause,[status(thm)],[f5627])).
% 8.78/1.52 fof(f5630,plain,(
% 8.78/1.52 spl0_19|~spl0_10),
% 8.78/1.52 inference(split_clause,[status(thm)],[f3259,f5627,f5589])).
% 8.78/1.52 fof(f5641,plain,(
% 8.78/1.52 spl0_21 <=> ~pd0_5(X0,X1)|~hBOOL(X1)),
% 8.78/1.52 introduced(split_symbol_definition)).
% 8.78/1.52 fof(f5642,plain,(
% 8.78/1.52 ![X0,X1]: (~pd0_5(X0,X1)|~hBOOL(X1)|~spl0_21)),
% 8.78/1.52 inference(component_clause,[status(thm)],[f5641])).
% 8.78/1.52 fof(f5644,plain,(
% 8.78/1.52 spl0_21|spl0_10),
% 8.78/1.52 inference(split_clause,[status(thm)],[f3429,f5641,f5589])).
% 8.78/1.52 fof(f5669,plain,(
% 8.78/1.52 spl0_28 <=> pd0_5(X0,X1)|hBOOL(X1)|hBOOL(X0)),
% 8.78/1.52 introduced(split_symbol_definition)).
% 8.78/1.52 fof(f5670,plain,(
% 8.78/1.52 ![X0,X1]: (pd0_5(X0,X1)|hBOOL(X1)|hBOOL(X0)|~spl0_28)),
% 8.78/1.52 inference(component_clause,[status(thm)],[f5669])).
% 8.78/1.52 fof(f5672,plain,(
% 8.78/1.52 spl0_28|spl0_10),
% 8.78/1.52 inference(split_clause,[status(thm)],[f3436,f5669,f5589])).
% 8.78/1.52 fof(f5693,plain,(
% 8.78/1.52 spl0_34 <=> pd0_11(sk0_225,sk0_224,sk0_223)),
% 8.78/1.52 introduced(split_symbol_definition)).
% 8.78/1.52 fof(f5694,plain,(
% 8.78/1.52 pd0_11(sk0_225,sk0_224,sk0_223)|~spl0_34),
% 8.78/1.52 inference(component_clause,[status(thm)],[f5693])).
% 8.78/1.52 fof(f5730,plain,(
% 8.78/1.52 spl0_44 <=> pd0_12(sk0_234,sk0_233,sk0_232)),
% 8.78/1.52 introduced(split_symbol_definition)).
% 8.78/1.52 fof(f5731,plain,(
% 8.78/1.52 pd0_12(sk0_234,sk0_233,sk0_232)|~spl0_44),
% 8.78/1.52 inference(component_clause,[status(thm)],[f5730])).
% 8.78/1.52 fof(f5867,plain,(
% 8.78/1.52 ![X0]: (hAPP_H216526335e_bool(fequal1440809015_state,X0)=hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),bot_bo784226126e_bool))),
% 8.78/1.52 inference(forward_demodulation,[status(thm)],[f2258,f2415])).
% 8.78/1.52 fof(f6189,plain,(
% 8.78/1.52 ~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))))),
% 8.78/1.52 inference(forward_demodulation,[status(thm)],[f5867,f5472])).
% 8.78/1.52 fof(f6192,plain,(
% 8.78/1.52 ![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))))),
% 8.78/1.52 inference(forward_subsumption_resolution,[status(thm)],[f5543,f4491])).
% 8.78/1.52 fof(f6193,plain,(
% 8.78/1.52 ![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))))),
% 8.78/1.52 inference(forward_subsumption_resolution,[status(thm)],[f5544,f4492])).
% 8.78/1.52 fof(f6194,plain,(
% 8.78/1.52 ![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))))),
% 8.78/1.52 inference(forward_subsumption_resolution,[status(thm)],[f5550,f4485])).
% 8.78/1.52 fof(f6195,plain,(
% 8.78/1.52 ![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))))),
% 8.78/1.52 inference(forward_subsumption_resolution,[status(thm)],[f5551,f4486])).
% 8.78/1.52 fof(f6212,plain,(
% 8.78/1.52 $false|spl0_1),
% 8.78/1.52 inference(forward_subsumption_resolution,[status(thm)],[f5557,f5466])).
% 8.78/1.52 fof(f6213,plain,(
% 8.78/1.52 spl0_1),
% 8.78/1.52 inference(contradiction_clause,[status(thm)],[f6212])).
% 8.78/1.52 fof(f6219,plain,(
% 8.78/1.52 $false|spl0_0),
% 8.78/1.52 inference(forward_subsumption_resolution,[status(thm)],[f5554,f5465])).
% 8.78/1.52 fof(f6220,plain,(
% 8.78/1.52 spl0_0),
% 8.78/1.52 inference(contradiction_clause,[status(thm)],[f6219])).
% 8.78/1.52 fof(f6231,plain,(
% 8.78/1.52 ![X0,X1]: (~X0=bot_bo784226126e_bool|~hBOOL(hAPP_H242767318e_bool(X0,X1)))),
% 8.78/1.52 inference(backward_demodulation,[status(thm)],[f2258,f1819])).
% 8.78/1.52 fof(f6232,plain,(
% 8.78/1.52 ![X0]: (~hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X0)))),
% 8.78/1.52 inference(destructive_equality_resolution,[status(esa)],[f6231])).
% 8.78/1.52 fof(f6349,plain,(
% 8.78/1.52 ![X0,X1,X2]: (~pd0_11(X0,X1,X2))),
% 8.78/1.52 inference(backward_subsumption_resolution,[status(thm)],[f6192,f6193])).
% 8.78/1.52 fof(f6350,plain,(
% 8.78/1.52 ![X0,X1,X2]: (~pd0_12(X0,X1,X2))),
% 8.78/1.52 inference(backward_subsumption_resolution,[status(thm)],[f6194,f6195])).
% 8.78/1.52 fof(f6351,plain,(
% 8.78/1.52 $false|~spl0_19),
% 8.78/1.52 inference(forward_subsumption_resolution,[status(thm)],[f5628,f6232])).
% 8.78/1.52 fof(f6352,plain,(
% 8.78/1.52 ~spl0_19),
% 8.78/1.52 inference(contradiction_clause,[status(thm)],[f6351])).
% 8.78/1.52 fof(f6363,plain,(
% 8.78/1.52 $false|~spl0_34),
% 8.78/1.52 inference(backward_subsumption_resolution,[status(thm)],[f5694,f6349])).
% 8.78/1.52 fof(f6364,plain,(
% 8.78/1.52 ~spl0_34),
% 8.78/1.52 inference(contradiction_clause,[status(thm)],[f6363])).
% 8.78/1.52 fof(f6365,plain,(
% 8.78/1.52 $false|~spl0_44),
% 8.78/1.52 inference(backward_subsumption_resolution,[status(thm)],[f5731,f6350])).
% 8.78/1.52 fof(f6366,plain,(
% 8.78/1.52 ~spl0_44),
% 8.78/1.52 inference(contradiction_clause,[status(thm)],[f6365])).
% 8.78/1.52 fof(f6385,plain,(
% 8.78/1.52 ![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)),
% 8.78/1.52 inference(backward_demodulation,[status(thm)],[f5867,f5559])).
% 8.78/1.52 fof(f6438,plain,(
% 8.78/1.52 spl0_58 <=> is_fun_pname_bool(bot_bo844097828e_bool)),
% 8.78/1.52 introduced(split_symbol_definition)).
% 8.78/1.52 fof(f6440,plain,(
% 8.78/1.52 ~is_fun_pname_bool(bot_bo844097828e_bool)|spl0_58),
% 8.78/1.52 inference(component_clause,[status(thm)],[f6438])).
% 8.78/1.52 fof(f6451,plain,(
% 8.78/1.52 $false|spl0_58),
% 8.78/1.52 inference(forward_subsumption_resolution,[status(thm)],[f6440,f1480])).
% 8.78/1.52 fof(f6452,plain,(
% 8.78/1.52 spl0_58),
% 8.78/1.52 inference(contradiction_clause,[status(thm)],[f6451])).
% 8.78/1.52 fof(f6456,plain,(
% 8.78/1.52 ![X0,X1]: (~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),X0))|hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X0)))),
% 8.78/1.52 inference(resolution,[status(thm)],[f1565,f1614])).
% 8.78/1.52 fof(f6462,plain,(
% 8.78/1.52 ![X0,X1]: (~pd0_5(X0,hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,bot_bo784226126e_bool),X1))|~spl0_21)),
% 8.78/1.52 inference(resolution,[status(thm)],[f5642,f1614])).
% 8.78/1.52 fof(f6474,plain,(
% 8.78/1.52 spl0_61 <=> hBOOL(X0)),
% 8.78/1.52 introduced(split_symbol_definition)).
% 8.78/1.52 fof(f6475,plain,(
% 8.78/1.52 ![X0]: (hBOOL(X0)|~spl0_61)),
% 8.78/1.52 inference(component_clause,[status(thm)],[f6474])).
% 8.78/1.52 fof(f6499,plain,(
% 8.78/1.52 spl0_64 <=> hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,bot_bo784226126e_bool),X0))),
% 8.78/1.52 introduced(split_symbol_definition)).
% 8.78/1.52 fof(f6500,plain,(
% 8.78/1.52 ![X0]: (hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,bot_bo784226126e_bool),X0))|~spl0_64)),
% 8.78/1.52 inference(component_clause,[status(thm)],[f6499])).
% 8.78/1.52 fof(f6502,plain,(
% 8.78/1.52 ![X0,X1]: (hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,bot_bo784226126e_bool),X0))|hBOOL(X1)|~spl0_28|~spl0_21)),
% 8.78/1.52 inference(resolution,[status(thm)],[f5670,f6462])).
% 8.78/1.52 fof(f6503,plain,(
% 8.78/1.52 spl0_64|spl0_61|~spl0_28|~spl0_21),
% 8.78/1.52 inference(split_clause,[status(thm)],[f6502,f6499,f6474,f5669,f5641])).
% 8.78/1.52 fof(f6519,plain,(
% 8.78/1.52 $false|~spl0_61|~spl0_16),
% 8.78/1.52 inference(backward_subsumption_resolution,[status(thm)],[f5616,f6475])).
% 8.78/1.52 fof(f6520,plain,(
% 8.78/1.52 ~spl0_61|~spl0_16),
% 8.78/1.52 inference(contradiction_clause,[status(thm)],[f6519])).
% 8.78/1.52 fof(f6562,plain,(
% 8.78/1.52 ~hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y))))),
% 9.31/1.54 inference(resolution,[status(thm)],[f6456,f6189])).
% 9.31/1.54 fof(f6578,plain,(
% 9.31/1.54 spl0_68 <=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool))),
% 9.31/1.54 introduced(split_symbol_definition)).
% 9.31/1.54 fof(f6580,plain,(
% 9.31/1.54 ~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool))|spl0_68),
% 9.31/1.54 inference(component_clause,[status(thm)],[f6578])).
% 9.31/1.54 fof(f6586,plain,(
% 9.31/1.54 $false|spl0_68),
% 9.31/1.54 inference(forward_subsumption_resolution,[status(thm)],[f6580,f1634])).
% 9.31/1.54 fof(f6587,plain,(
% 9.31/1.54 spl0_68),
% 9.31/1.54 inference(contradiction_clause,[status(thm)],[f6586])).
% 9.31/1.54 fof(f6621,plain,(
% 9.31/1.54 ![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(hAPP_f849457489l_bool(ord_le1449778818e_bool,X0),bot_bo784226126e_bool)))),
% 9.31/1.54 inference(resolution,[status(thm)],[f1565,f6562])).
% 9.31/1.54 fof(f6792,plain,(
% 9.31/1.54 spl0_76 <=> hBOOL(hAPP_com_bool(wt,y))),
% 9.31/1.54 introduced(split_symbol_definition)).
% 9.31/1.54 fof(f6794,plain,(
% 9.31/1.54 ~hBOOL(hAPP_com_bool(wt,y))|spl0_76),
% 9.31/1.54 inference(component_clause,[status(thm)],[f6792])).
% 9.31/1.54 fof(f6869,plain,(
% 9.31/1.54 spl0_87 <=> hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,bot_bo784226126e_bool),bot_bo784226126e_bool))),
% 9.31/1.54 introduced(split_symbol_definition)).
% 9.31/1.54 fof(f6871,plain,(
% 9.31/1.54 ~hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,bot_bo784226126e_bool),bot_bo784226126e_bool))|spl0_87),
% 9.31/1.54 inference(component_clause,[status(thm)],[f6869])).
% 9.31/1.54 fof(f6872,plain,(
% 9.31/1.54 ~hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,bot_bo784226126e_bool),bot_bo784226126e_bool))|~hBOOL(hAPP_com_bool(wt,y))|~spl0_2),
% 9.31/1.54 inference(resolution,[status(thm)],[f6621,f6385])).
% 9.31/1.54 fof(f6873,plain,(
% 9.31/1.54 ~spl0_87|~spl0_76|~spl0_2),
% 9.31/1.54 inference(split_clause,[status(thm)],[f6872,f6869,f6792,f5558])).
% 9.31/1.54 fof(f7160,plain,(
% 9.31/1.54 ![X0]: (~hAPP_p799580910on_com(body,X0)=hAPP_com_option_com(some_com,y)|~spl0_6|spl0_76)),
% 9.31/1.54 inference(resolution,[status(thm)],[f5575,f6794])).
% 9.31/1.54 fof(f7161,plain,(
% 9.31/1.54 ![X0]: (~hAPP_p799580910on_com(body,X0)=hAPP_p799580910on_com(body,pn)|~spl0_6|spl0_76)),
% 9.31/1.54 inference(forward_demodulation,[status(thm)],[f5470,f7160])).
% 9.31/1.54 fof(f7165,plain,(
% 9.31/1.54 $false|~spl0_6|spl0_76),
% 9.31/1.54 inference(equality_resolution,[status(esa)],[f7161])).
% 9.31/1.54 fof(f7166,plain,(
% 9.31/1.54 ~spl0_6|spl0_76),
% 9.31/1.54 inference(contradiction_clause,[status(thm)],[f7165])).
% 9.31/1.54 fof(f7167,plain,(
% 9.31/1.54 $false|~spl0_64|spl0_87),
% 9.31/1.54 inference(forward_subsumption_resolution,[status(thm)],[f6871,f6500])).
% 9.31/1.54 fof(f7168,plain,(
% 9.31/1.54 ~spl0_64|spl0_87),
% 9.31/1.54 inference(contradiction_clause,[status(thm)],[f7167])).
% 9.31/1.54 fof(f7169,plain,(
% 9.31/1.54 $false),
% 9.31/1.54 inference(sat_refutation,[status(thm)],[f5561,f5577,f5618,f5630,f5644,f5672,f6213,f6220,f6352,f6364,f6366,f6452,f6503,f6520,f6587,f6873,f7166,f7168])).
% 9.31/1.54 % SZS output end CNFRefutation for theBenchmark.p
% 9.31/1.55 % Elapsed time: 1.264187 seconds
% 9.31/1.55 % CPU time: 9.484536 seconds
% 9.31/1.55 % Memory used: 341.848 MB
%------------------------------------------------------------------------------