TSTP Solution File: SWW470+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW470+3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 12:45:00 EDT 2023
% Result : Theorem 15.25s 2.39s
% Output : CNFRefutation 15.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW470+3 : TPTP v8.1.2. Released v5.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 10:58:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.46 % Drodi V3.5.1
% 15.25/2.39 % Refutation found
% 15.25/2.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 15.25/2.39 % SZS output start CNFRefutation for theBenchmark
% 15.25/2.39 fof(f22,axiom,(
% 15.25/2.39 is_bool(bot_bot_bool) ),
% 15.25/2.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.25/2.39 fof(f30,hypothesis,(
% 15.25/2.39 (! [B_1_1,B_2_1] : is_bool(hAPP_f1695230391l_bool(B_1_1,B_2_1)) )),
% 15.25/2.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.25/2.39 fof(f36,axiom,(
% 15.25/2.39 (! [Ga] : hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),bot_bo797238721a_bool)) )),
% 15.25/2.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.25/2.39 fof(f38,axiom,(
% 15.25/2.39 (! [Ga,G_1,Ts] :( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(G_1),Ts))=> ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),G_1))=> hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),Ts)) ) ) )),
% 15.25/2.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.25/2.39 fof(f41,axiom,(
% 15.25/2.39 (! [Ga,Ca,Q_1,Pa] :( (! [Z_11,S_2] :( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa,Z_11),S_2))=> hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),S_2)),Ca,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(Q_1,Z_11)))),bot_bo797238721a_bool))) ))=> hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(Pa,Ca,Q_1)),bot_bo797238721a_bool))) ) )),
% 15.25/2.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.25/2.39 fof(f55,axiom,(
% 15.25/2.39 (! [A_13] : hAPP_f20753329a_bool(collec351493750iple_a,hAPP_H426895267a_bool(fequal963300192iple_a,A_13)) = hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,A_13),bot_bo797238721a_bool) )),
% 15.25/2.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.25/2.39 fof(f69,axiom,(
% 15.25/2.39 (! [Pa] :( hAPP_f20753329a_bool(collec351493750iple_a,Pa) = bot_bo797238721a_bool<=> (! [X_2] : ~ hBOOL(hAPP_H1037229737a_bool(Pa,X_2)) )) )),
% 15.25/2.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.25/2.39 fof(f141,axiom,(
% 15.25/2.39 (! [X_1] :( hBOOL(hAPP_H1037229737a_bool(bot_bo797238721a_bool,X_1))<=> hBOOL(bot_bot_bool) ) )),
% 15.25/2.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.25/2.39 fof(f235,axiom,(
% 15.25/2.39 (! [Pa] : hAPP_f20753329a_bool(collec351493750iple_a,Pa) = Pa )),
% 15.25/2.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.25/2.39 fof(f1242,axiom,(
% 15.25/2.39 ~ hBOOL(fFalse) ),
% 15.25/2.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.25/2.39 fof(f1243,axiom,(
% 15.25/2.39 (! [P] :( is_bool(P)=> ( P = fTrue| P = fFalse ) ) )),
% 15.25/2.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.25/2.39 fof(f1264,axiom,(
% 15.25/2.39 (! [P,Q] :( is_bool(P)=> hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,P),Q) = P ) )),
% 15.25/2.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.25/2.39 fof(f1287,axiom,(
% 15.25/2.39 (! [P,Q] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,P),Q) = P )),
% 15.25/2.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.25/2.39 fof(f1324,axiom,(
% 15.25/2.39 (! [X,Y] :( X != Y| hBOOL(hAPP_f1695230391l_bool(hAPP_f1767618879l_bool(fequal874423448a_bool,X),Y)) ) )),
% 15.25/2.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.25/2.39 fof(f1399,conjecture,(
% 15.25/2.39 hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))) ),
% 15.25/2.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.25/2.39 fof(f1400,negated_conjecture,(
% 15.25/2.39 ~(hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))) )),
% 15.25/2.40 inference(negated_conjecture,[status(cth)],[f1399])).
% 15.25/2.40 fof(f1422,plain,(
% 15.25/2.40 is_bool(bot_bot_bool)),
% 15.25/2.40 inference(cnf_transformation,[status(esa)],[f22])).
% 15.25/2.40 fof(f1432,plain,(
% 15.25/2.40 ![X0,X1]: (is_bool(hAPP_f1695230391l_bool(X0,X1)))),
% 15.25/2.40 inference(cnf_transformation,[status(esa)],[f30])).
% 15.25/2.40 fof(f1438,plain,(
% 15.25/2.40 ![X0]: (hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),bot_bo797238721a_bool)))),
% 15.25/2.40 inference(cnf_transformation,[status(esa)],[f36])).
% 15.25/2.40 fof(f1445,plain,(
% 15.25/2.40 ![Ga,G_1,Ts]: (~hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(G_1),Ts))|(~hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),G_1))|hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),Ts))))),
% 15.25/2.40 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 15.25/2.40 fof(f1446,plain,(
% 15.25/2.40 ![G_1,Ts]: (~hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(G_1),Ts))|(![Ga]: (~hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),G_1))|hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),Ts)))))),
% 15.25/2.40 inference(miniscoping,[status(esa)],[f1445])).
% 15.25/2.40 fof(f1447,plain,(
% 15.25/2.40 ![X0,X1,X2]: (~hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),X1))|~hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),X0))|hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),X1)))),
% 15.25/2.40 inference(cnf_transformation,[status(esa)],[f1446])).
% 15.25/2.40 fof(f1454,plain,(
% 15.25/2.40 ![Ga,Ca,Q_1,Pa]: ((?[Z_11,S_2]: (hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa,Z_11),S_2))&~hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),S_2)),Ca,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(Q_1,Z_11)))),bot_bo797238721a_bool)))))|hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(Pa,Ca,Q_1)),bot_bo797238721a_bool))))),
% 15.25/2.40 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 15.25/2.40 fof(f1455,plain,(
% 15.25/2.40 ![Ga,Ca,Q_1,Pa]: ((hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa,sk0_0(Pa,Q_1,Ca,Ga)),sk0_1(Pa,Q_1,Ca,Ga)))&~hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),sk0_1(Pa,Q_1,Ca,Ga))),Ca,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(Q_1,sk0_0(Pa,Q_1,Ca,Ga))))),bot_bo797238721a_bool))))|hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(Pa,Ca,Q_1)),bot_bo797238721a_bool))))),
% 15.25/2.40 inference(skolemization,[status(esa)],[f1454])).
% 15.25/2.40 fof(f1456,plain,(
% 15.25/2.40 ![X0,X1,X2,X3]: (hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sk0_0(X0,X1,X2,X3)),sk0_1(X0,X1,X2,X3)))|hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X3),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X0,X2,X1)),bot_bo797238721a_bool))))),
% 15.25/2.40 inference(cnf_transformation,[status(esa)],[f1455])).
% 15.25/2.40 fof(f1493,plain,(
% 15.25/2.40 ![X0]: (hAPP_f20753329a_bool(collec351493750iple_a,hAPP_H426895267a_bool(fequal963300192iple_a,X0))=hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,X0),bot_bo797238721a_bool))),
% 15.25/2.40 inference(cnf_transformation,[status(esa)],[f55])).
% 15.25/2.40 fof(f1531,plain,(
% 15.25/2.40 ![Pa]: ((~hAPP_f20753329a_bool(collec351493750iple_a,Pa)=bot_bo797238721a_bool|(![X_2]: ~hBOOL(hAPP_H1037229737a_bool(Pa,X_2))))&(hAPP_f20753329a_bool(collec351493750iple_a,Pa)=bot_bo797238721a_bool|(?[X_2]: hBOOL(hAPP_H1037229737a_bool(Pa,X_2)))))),
% 15.25/2.40 inference(NNF_transformation,[status(esa)],[f69])).
% 15.25/2.40 fof(f1532,plain,(
% 15.25/2.40 (![Pa]: (~hAPP_f20753329a_bool(collec351493750iple_a,Pa)=bot_bo797238721a_bool|(![X_2]: ~hBOOL(hAPP_H1037229737a_bool(Pa,X_2)))))&(![Pa]: (hAPP_f20753329a_bool(collec351493750iple_a,Pa)=bot_bo797238721a_bool|(?[X_2]: hBOOL(hAPP_H1037229737a_bool(Pa,X_2)))))),
% 15.25/2.40 inference(miniscoping,[status(esa)],[f1531])).
% 15.25/2.40 fof(f1533,plain,(
% 15.25/2.40 (![Pa]: (~hAPP_f20753329a_bool(collec351493750iple_a,Pa)=bot_bo797238721a_bool|(![X_2]: ~hBOOL(hAPP_H1037229737a_bool(Pa,X_2)))))&(![Pa]: (hAPP_f20753329a_bool(collec351493750iple_a,Pa)=bot_bo797238721a_bool|hBOOL(hAPP_H1037229737a_bool(Pa,sk0_9(Pa)))))),
% 15.25/2.40 inference(skolemization,[status(esa)],[f1532])).
% 15.25/2.40 fof(f1534,plain,(
% 15.25/2.40 ![X0,X1]: (~hAPP_f20753329a_bool(collec351493750iple_a,X0)=bot_bo797238721a_bool|~hBOOL(hAPP_H1037229737a_bool(X0,X1)))),
% 15.25/2.40 inference(cnf_transformation,[status(esa)],[f1533])).
% 15.25/2.40 fof(f1732,plain,(
% 15.25/2.40 ![X_1]: ((~hBOOL(hAPP_H1037229737a_bool(bot_bo797238721a_bool,X_1))|hBOOL(bot_bot_bool))&(hBOOL(hAPP_H1037229737a_bool(bot_bo797238721a_bool,X_1))|~hBOOL(bot_bot_bool)))),
% 15.25/2.40 inference(NNF_transformation,[status(esa)],[f141])).
% 15.25/2.40 fof(f1733,plain,(
% 15.25/2.40 ((![X_1]: ~hBOOL(hAPP_H1037229737a_bool(bot_bo797238721a_bool,X_1)))|hBOOL(bot_bot_bool))&((![X_1]: hBOOL(hAPP_H1037229737a_bool(bot_bo797238721a_bool,X_1)))|~hBOOL(bot_bot_bool))),
% 15.25/2.40 inference(miniscoping,[status(esa)],[f1732])).
% 15.25/2.40 fof(f1735,plain,(
% 15.25/2.40 ![X0]: (hBOOL(hAPP_H1037229737a_bool(bot_bo797238721a_bool,X0))|~hBOOL(bot_bot_bool))),
% 15.25/2.40 inference(cnf_transformation,[status(esa)],[f1733])).
% 15.25/2.40 fof(f2025,plain,(
% 15.25/2.40 ![X0]: (hAPP_f20753329a_bool(collec351493750iple_a,X0)=X0)),
% 15.25/2.40 inference(cnf_transformation,[status(esa)],[f235])).
% 15.25/2.40 fof(f4947,plain,(
% 15.25/2.40 ~hBOOL(fFalse)),
% 15.25/2.40 inference(cnf_transformation,[status(esa)],[f1242])).
% 15.25/2.40 fof(f4948,plain,(
% 15.25/2.40 ![P]: (~is_bool(P)|(P=fTrue|P=fFalse))),
% 15.25/2.40 inference(pre_NNF_transformation,[status(esa)],[f1243])).
% 15.25/2.40 fof(f4949,plain,(
% 15.25/2.40 ![X0]: (~is_bool(X0)|X0=fTrue|X0=fFalse)),
% 15.25/2.40 inference(cnf_transformation,[status(esa)],[f4948])).
% 15.25/2.40 fof(f4978,plain,(
% 15.25/2.40 ![P,Q]: (~is_bool(P)|hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,P),Q)=P)),
% 15.25/2.40 inference(pre_NNF_transformation,[status(esa)],[f1264])).
% 15.25/2.40 fof(f4979,plain,(
% 15.25/2.40 ![P]: (~is_bool(P)|(![Q]: hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,P),Q)=P))),
% 15.25/2.40 inference(miniscoping,[status(esa)],[f4978])).
% 15.25/2.40 fof(f4980,plain,(
% 15.25/2.40 ![X0,X1]: (~is_bool(X0)|hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1)=X0)),
% 15.25/2.40 inference(cnf_transformation,[status(esa)],[f4979])).
% 15.25/2.40 fof(f5003,plain,(
% 15.25/2.40 ![X0,X1]: (hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1)=X0)),
% 15.25/2.40 inference(cnf_transformation,[status(esa)],[f1287])).
% 15.25/2.40 fof(f5042,plain,(
% 15.25/2.40 ![X0,X1]: (~X0=X1|hBOOL(hAPP_f1695230391l_bool(hAPP_f1767618879l_bool(fequal874423448a_bool,X0),X1)))),
% 15.25/2.40 inference(cnf_transformation,[status(esa)],[f1324])).
% 15.25/2.40 fof(f5117,plain,(
% 15.25/2.40 ~hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool)))),
% 15.25/2.40 inference(cnf_transformation,[status(esa)],[f1400])).
% 15.25/2.40 fof(f5146,plain,(
% 15.25/2.40 spl0_1 <=> hBOOL(bot_bot_bool)),
% 15.25/2.40 introduced(split_symbol_definition)).
% 15.25/2.40 fof(f5148,plain,(
% 15.25/2.40 ~hBOOL(bot_bot_bool)|spl0_1),
% 15.25/2.40 inference(component_clause,[status(thm)],[f5146])).
% 15.25/2.40 fof(f5150,plain,(
% 15.25/2.40 spl0_2 <=> hBOOL(hAPP_H1037229737a_bool(bot_bo797238721a_bool,X0))),
% 15.25/2.40 introduced(split_symbol_definition)).
% 15.25/2.40 fof(f5151,plain,(
% 15.25/2.40 ![X0]: (hBOOL(hAPP_H1037229737a_bool(bot_bo797238721a_bool,X0))|~spl0_2)),
% 15.25/2.40 inference(component_clause,[status(thm)],[f5150])).
% 15.25/2.40 fof(f5153,plain,(
% 15.25/2.40 spl0_2|~spl0_1),
% 15.25/2.40 inference(split_clause,[status(thm)],[f1735,f5150,f5146])).
% 15.25/2.40 fof(f5366,plain,(
% 15.25/2.40 ![X0]: (hBOOL(hAPP_f1695230391l_bool(hAPP_f1767618879l_bool(fequal874423448a_bool,X0),X0)))),
% 15.25/2.40 inference(destructive_equality_resolution,[status(esa)],[f5042])).
% 15.25/2.40 fof(f5373,plain,(
% 15.25/2.40 ![X0]: (~hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool)))|~hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),X0)))),
% 15.25/2.40 inference(resolution,[status(thm)],[f1447,f5117])).
% 15.25/2.40 fof(f5375,plain,(
% 15.25/2.40 ~hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(bot_bo797238721a_bool),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool)))),
% 15.25/2.40 inference(resolution,[status(thm)],[f5373,f1438])).
% 15.25/2.40 fof(f5733,plain,(
% 15.25/2.40 ![X0]: (hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool),X0)=bot_bot_bool)),
% 15.25/2.40 inference(resolution,[status(thm)],[f1422,f4980])).
% 15.25/2.40 fof(f5787,plain,(
% 15.25/2.40 ![X0,X1]: (hAPP_f1695230391l_bool(X0,X1)=fTrue|hAPP_f1695230391l_bool(X0,X1)=fFalse)),
% 15.25/2.40 inference(resolution,[status(thm)],[f4949,f1432])).
% 15.25/2.40 fof(f5812,plain,(
% 15.25/2.40 spl0_13 <=> bot_bot_bool=fTrue),
% 15.25/2.40 introduced(split_symbol_definition)).
% 15.25/2.40 fof(f5813,plain,(
% 15.25/2.40 bot_bot_bool=fTrue|~spl0_13),
% 15.25/2.40 inference(component_clause,[status(thm)],[f5812])).
% 15.25/2.40 fof(f5815,plain,(
% 15.25/2.40 spl0_14 <=> bot_bot_bool=fFalse),
% 15.25/2.40 introduced(split_symbol_definition)).
% 15.25/2.40 fof(f5816,plain,(
% 15.25/2.40 bot_bot_bool=fFalse|~spl0_14),
% 15.25/2.40 inference(component_clause,[status(thm)],[f5815])).
% 15.25/2.40 fof(f5818,plain,(
% 15.25/2.40 bot_bot_bool=fTrue|bot_bot_bool=fFalse),
% 15.25/2.40 inference(resolution,[status(thm)],[f4949,f1422])).
% 15.25/2.40 fof(f5819,plain,(
% 15.25/2.40 spl0_13|spl0_14),
% 15.25/2.40 inference(split_clause,[status(thm)],[f5818,f5812,f5815])).
% 15.25/2.40 fof(f6259,plain,(
% 15.25/2.40 spl0_16 <=> hBOOL(fTrue)),
% 15.25/2.40 introduced(split_symbol_definition)).
% 15.25/2.40 fof(f6260,plain,(
% 15.25/2.40 hBOOL(fTrue)|~spl0_16),
% 15.25/2.40 inference(component_clause,[status(thm)],[f6259])).
% 15.25/2.40 fof(f6262,plain,(
% 15.25/2.40 spl0_17 <=> hAPP_f1695230391l_bool(hAPP_f1767618879l_bool(fequal874423448a_bool,X0),X0)=fFalse),
% 15.25/2.40 introduced(split_symbol_definition)).
% 15.25/2.40 fof(f6263,plain,(
% 15.25/2.40 ![X0]: (hAPP_f1695230391l_bool(hAPP_f1767618879l_bool(fequal874423448a_bool,X0),X0)=fFalse|~spl0_17)),
% 15.25/2.40 inference(component_clause,[status(thm)],[f6262])).
% 15.25/2.40 fof(f6265,plain,(
% 15.25/2.40 ![X0]: (hBOOL(fTrue)|hAPP_f1695230391l_bool(hAPP_f1767618879l_bool(fequal874423448a_bool,X0),X0)=fFalse)),
% 15.25/2.40 inference(paramodulation,[status(thm)],[f5787,f5366])).
% 15.25/2.40 fof(f6266,plain,(
% 15.25/2.40 spl0_16|spl0_17),
% 15.25/2.40 inference(split_clause,[status(thm)],[f6265,f6259,f6262])).
% 15.25/2.40 fof(f6362,plain,(
% 15.25/2.40 spl0_37 <=> hAPP_f1695230391l_bool(hoare_2102800559rivs_a(bot_bo797238721a_bool),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))=fFalse),
% 15.25/2.40 introduced(split_symbol_definition)).
% 15.25/2.40 fof(f6363,plain,(
% 15.25/2.40 hAPP_f1695230391l_bool(hoare_2102800559rivs_a(bot_bo797238721a_bool),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))=fFalse|~spl0_37),
% 15.25/2.40 inference(component_clause,[status(thm)],[f6362])).
% 15.25/2.40 fof(f6365,plain,(
% 15.25/2.40 ~hBOOL(fTrue)|hAPP_f1695230391l_bool(hoare_2102800559rivs_a(bot_bo797238721a_bool),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))=fFalse),
% 15.25/2.40 inference(paramodulation,[status(thm)],[f5787,f5375])).
% 15.25/2.40 fof(f6366,plain,(
% 15.25/2.40 ~spl0_16|spl0_37),
% 15.25/2.40 inference(split_clause,[status(thm)],[f6365,f6259,f6362])).
% 15.25/2.40 fof(f7172,plain,(
% 15.25/2.40 ~hBOOL(bot_bot_bool)|~spl0_14),
% 15.25/2.40 inference(backward_demodulation,[status(thm)],[f5816,f4947])).
% 15.25/2.40 fof(f7177,plain,(
% 15.25/2.40 ![X0,X1,X2,X3]: (hBOOL(hAPP_state_bool(X0,sk0_1(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1,X2,X3)))|hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X3),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X2,X1)),bot_bo797238721a_bool))))),
% 15.25/2.40 inference(paramodulation,[status(thm)],[f5003,f1456])).
% 15.25/2.40 fof(f7195,plain,(
% 15.25/2.40 hAPP_f1695230391l_bool(hoare_2102800559rivs_a(bot_bo797238721a_bool),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))=fFalse|~spl0_14|~spl0_37),
% 15.25/2.40 inference(forward_demodulation,[status(thm)],[f5816,f6363])).
% 15.25/2.40 fof(f7196,plain,(
% 15.25/2.40 hAPP_f1695230391l_bool(hoare_2102800559rivs_a(bot_bo797238721a_bool),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))=bot_bot_bool|~spl0_14|~spl0_37),
% 15.25/2.40 inference(forward_demodulation,[status(thm)],[f5816,f7195])).
% 15.25/2.40 fof(f9109,plain,(
% 15.25/2.40 ![X0]: (hAPP_H426895267a_bool(fequal963300192iple_a,X0)=hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,X0),bot_bo797238721a_bool))),
% 15.25/2.40 inference(forward_demodulation,[status(thm)],[f2025,f1493])).
% 15.25/2.40 fof(f9158,plain,(
% 15.25/2.40 hAPP_f1695230391l_bool(hoare_2102800559rivs_a(bot_bo797238721a_bool),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))))=bot_bot_bool|~spl0_14|~spl0_37),
% 15.25/2.40 inference(backward_demodulation,[status(thm)],[f9109,f7196])).
% 15.25/2.40 fof(f9824,plain,(
% 15.25/2.40 ![X0,X1,X2,X3]: (hBOOL(hAPP_state_bool(X0,sk0_1(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1,X2,X3)))|hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X3),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X2,X1)))))),
% 15.25/2.40 inference(forward_demodulation,[status(thm)],[f9109,f7177])).
% 15.25/2.40 fof(f9924,plain,(
% 15.25/2.40 spl0_293 <=> hBOOL(hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool),sk0_1(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)),c,bot_bo797238721a_bool)))),
% 15.25/2.40 introduced(split_symbol_definition)).
% 15.25/2.40 fof(f9925,plain,(
% 15.25/2.40 hBOOL(hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool),sk0_1(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)),c,bot_bo797238721a_bool)))|~spl0_293),
% 15.25/2.40 inference(component_clause,[status(thm)],[f9924])).
% 15.25/2.40 fof(f9927,plain,(
% 15.25/2.40 hBOOL(hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool),sk0_1(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)),c,bot_bo797238721a_bool)))|hBOOL(bot_bot_bool)|~spl0_14|~spl0_37),
% 15.25/2.40 inference(paramodulation,[status(thm)],[f9158,f9824])).
% 15.25/2.40 fof(f9928,plain,(
% 15.25/2.40 spl0_293|spl0_1|~spl0_14|~spl0_37),
% 15.25/2.40 inference(split_clause,[status(thm)],[f9927,f9924,f5146,f5815,f6362])).
% 15.25/2.40 fof(f9934,plain,(
% 15.25/2.40 hBOOL(bot_bot_bool)|~spl0_293),
% 15.25/2.40 inference(forward_demodulation,[status(thm)],[f5733,f9925])).
% 15.25/2.40 fof(f9935,plain,(
% 15.25/2.40 $false|~spl0_14|~spl0_293),
% 15.25/2.40 inference(forward_subsumption_resolution,[status(thm)],[f9934,f7172])).
% 15.25/2.40 fof(f9936,plain,(
% 15.25/2.40 ~spl0_14|~spl0_293),
% 15.25/2.40 inference(contradiction_clause,[status(thm)],[f9935])).
% 15.25/2.40 fof(f11235,plain,(
% 15.25/2.40 hBOOL(fFalse)|~spl0_17),
% 15.25/2.40 inference(forward_demodulation,[status(thm)],[f6263,f5366])).
% 15.25/2.40 fof(f11300,plain,(
% 15.25/2.40 $false|~spl0_17),
% 15.25/2.40 inference(forward_subsumption_resolution,[status(thm)],[f4947,f11235])).
% 15.25/2.40 fof(f11301,plain,(
% 15.25/2.40 ~spl0_17),
% 15.25/2.40 inference(contradiction_clause,[status(thm)],[f11300])).
% 15.25/2.40 fof(f11503,plain,(
% 15.25/2.40 hBOOL(bot_bot_bool)|~spl0_13|~spl0_16),
% 15.25/2.40 inference(forward_demodulation,[status(thm)],[f5813,f6260])).
% 15.25/2.40 fof(f11546,plain,(
% 15.25/2.40 ![X0,X1]: (~X0=bot_bo797238721a_bool|~hBOOL(hAPP_H1037229737a_bool(X0,X1)))),
% 15.25/2.41 inference(forward_demodulation,[status(thm)],[f2025,f1534])).
% 15.25/2.41 fof(f11547,plain,(
% 15.25/2.41 ![X0]: (~hBOOL(hAPP_H1037229737a_bool(bot_bo797238721a_bool,X0)))),
% 15.25/2.41 inference(destructive_equality_resolution,[status(esa)],[f11546])).
% 15.25/2.41 fof(f11548,plain,(
% 15.25/2.41 $false|~spl0_2),
% 15.25/2.41 inference(forward_subsumption_resolution,[status(thm)],[f11547,f5151])).
% 15.25/2.41 fof(f11549,plain,(
% 15.25/2.41 ~spl0_2),
% 15.25/2.41 inference(contradiction_clause,[status(thm)],[f11548])).
% 15.25/2.41 fof(f11550,plain,(
% 15.25/2.41 $false|~spl0_13|~spl0_16|spl0_1),
% 15.25/2.41 inference(forward_subsumption_resolution,[status(thm)],[f5148,f11503])).
% 15.25/2.41 fof(f11551,plain,(
% 15.25/2.41 ~spl0_13|~spl0_16|spl0_1),
% 15.25/2.41 inference(contradiction_clause,[status(thm)],[f11550])).
% 15.25/2.41 fof(f11552,plain,(
% 15.25/2.41 $false),
% 15.25/2.41 inference(sat_refutation,[status(thm)],[f5153,f5819,f6266,f6366,f9928,f9936,f11301,f11549,f11551])).
% 15.25/2.41 % SZS output end CNFRefutation for theBenchmark.p
% 15.52/2.44 % Elapsed time: 2.083146 seconds
% 15.52/2.44 % CPU time: 15.554825 seconds
% 15.52/2.44 % Memory used: 287.422 MB
%------------------------------------------------------------------------------