TSTP Solution File: SWV849-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV849-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 12:44:07 EDT 2023
% Result : Unsatisfiable 0.21s 0.43s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV849-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue May 30 11:38:43 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.38 % Drodi V3.5.1
% 0.21/0.43 % Refutation found
% 0.21/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.43 fof(f456,axiom,(
% 0.21/0.43 (![V_b,V_c,V_s0,V_n,V_s2,V_s1]: (( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_n,V_s2)| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_n,V_s2)| ~ c_Natural_Oevaln(V_c,V_s0,V_n,V_s1)| ~ hBOOL(hAPP(V_b,V_s0)) ) ))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f459,negated_conjecture,(
% 0.21/0.43 hBOOL(hAPP(v_ba,v_s0)) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f460,negated_conjecture,(
% 0.21/0.43 c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f461,negated_conjecture,(
% 0.21/0.43 c_Natural_Oevaln(c_Com_Ocom_OWhile(v_ba,v_ca),v_s1,v_na,v_s2) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f462,negated_conjecture,(
% 0.21/0.43 v_ba = v_b ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f463,negated_conjecture,(
% 0.21/0.43 v_ca = v_c ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f464,negated_conjecture,(
% 0.21/0.43 hBOOL(hAPP(hAPP(v_P,v_xb),v_s0)) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f465,negated_conjecture,(
% 0.21/0.43 (![V_x]: (( c_Hoare__Mirabelle_Otriple__valid(v_na,V_x,t_a)| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_x),v_G)) ) ))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f466,negated_conjecture,(
% 0.21/0.43 ( hBOOL(hAPP(v_b,v_s2))| ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)) ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f471,negated_conjecture,(
% 0.21/0.43 (![V_Z]: (( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)| hBOOL(hAPP(hAPP(v_P,V_Z),v_s2))| ~ hBOOL(hAPP(hAPP(v_P,V_Z),v_s1))| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ) ))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f472,negated_conjecture,(
% 0.21/0.43 (![V_Z]: (( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)| ~ hBOOL(hAPP(v_b,v_s2))| ~ hBOOL(hAPP(hAPP(v_P,V_Z),v_s1))| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ) ))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f473,negated_conjecture,(
% 0.21/0.43 (![V_Za]: (( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)| hBOOL(hAPP(hAPP(v_P,V_Za),v_s2))| ~ hBOOL(hAPP(hAPP(v_P,V_Za),v_s1))| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ) ))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f474,negated_conjecture,(
% 0.21/0.43 (![V_Za]: (( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)| ~ hBOOL(hAPP(v_b,v_s2))| ~ hBOOL(hAPP(hAPP(v_P,V_Za),v_s1))| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ) ))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f475,negated_conjecture,(
% 0.21/0.43 (![V_Z,V_s_H,V_s,V_na]: (( hBOOL(hAPP(hAPP(v_P,V_Z),V_s_H))| ~ c_Natural_Oevaln(v_c,V_s,V_na,V_s_H)| ~ hBOOL(hAPP(v_b,V_s))| ~ hBOOL(hAPP(hAPP(v_P,V_Z),V_s))| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(V_na)),v_G)) ) ))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f476,negated_conjecture,(
% 0.21/0.43 (![V_Za,V_s_Ha,V_sa,V_na]: (( hBOOL(hAPP(hAPP(v_P,V_Za),V_s_Ha))| ~ c_Natural_Oevaln(v_c,V_sa,V_na,V_s_Ha)| ~ hBOOL(hAPP(v_b,V_sa))| ~ hBOOL(hAPP(hAPP(v_P,V_Za),V_sa))| ~ c_Hoare__Mirabelle_Otriple__valid(V_na,v_n(V_na),t_a) ) ))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f1201,plain,(
% 0.21/0.43 ![V_b,V_s0]: ((![V_c,V_n,V_s1]: ((![V_s2]: (c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_n,V_s2)|~c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_n,V_s2)))|~c_Natural_Oevaln(V_c,V_s0,V_n,V_s1)))|~hBOOL(hAPP(V_b,V_s0)))),
% 0.21/0.43 inference(miniscoping,[status(esa)],[f456])).
% 0.21/0.43 fof(f1202,plain,(
% 0.21/0.43 ![X0,X1,X2,X3,X4,X5]: (c_Natural_Oevaln(c_Com_Ocom_OWhile(X0,X1),X2,X3,X4)|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X0,X1),X5,X3,X4)|~c_Natural_Oevaln(X1,X2,X3,X5)|~hBOOL(hAPP(X0,X2)))),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f1201])).
% 0.21/0.43 fof(f1207,plain,(
% 0.21/0.43 hBOOL(hAPP(v_ba,v_s0))),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f459])).
% 0.21/0.43 fof(f1208,plain,(
% 0.21/0.43 c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1)),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f460])).
% 0.21/0.43 fof(f1209,plain,(
% 0.21/0.43 c_Natural_Oevaln(c_Com_Ocom_OWhile(v_ba,v_ca),v_s1,v_na,v_s2)),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f461])).
% 0.21/0.43 fof(f1210,plain,(
% 0.21/0.43 v_ba=v_b),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f462])).
% 0.21/0.43 fof(f1211,plain,(
% 0.21/0.43 v_ca=v_c),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f463])).
% 0.21/0.43 fof(f1212,plain,(
% 0.21/0.43 hBOOL(hAPP(hAPP(v_P,v_xb),v_s0))),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f464])).
% 0.21/0.43 fof(f1213,plain,(
% 0.21/0.43 ![X0]: (c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G)))),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f465])).
% 0.21/0.43 fof(f1214,plain,(
% 0.21/0.43 hBOOL(hAPP(v_b,v_s2))|~hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f466])).
% 0.21/0.43 fof(f1223,plain,(
% 0.21/0.43 (![V_Z]: ((~c_Com_Ocom_OWhile(v_ba,v_ca)=c_Com_Ocom_OWhile(v_b,v_c)|hBOOL(hAPP(hAPP(v_P,V_Z),v_s2)))|~hBOOL(hAPP(hAPP(v_P,V_Z),v_s1))))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))),
% 0.21/0.43 inference(miniscoping,[status(esa)],[f471])).
% 0.21/0.43 fof(f1224,plain,(
% 0.21/0.43 ![X0]: (~c_Com_Ocom_OWhile(v_ba,v_ca)=c_Com_Ocom_OWhile(v_b,v_c)|hBOOL(hAPP(hAPP(v_P,X0),v_s2))|~hBOOL(hAPP(hAPP(v_P,X0),v_s1))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)))),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f1223])).
% 0.21/0.43 fof(f1225,plain,(
% 0.21/0.43 ((~c_Com_Ocom_OWhile(v_ba,v_ca)=c_Com_Ocom_OWhile(v_b,v_c)|~hBOOL(hAPP(v_b,v_s2)))|(![V_Z]: ~hBOOL(hAPP(hAPP(v_P,V_Z),v_s1))))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))),
% 0.21/0.43 inference(miniscoping,[status(esa)],[f472])).
% 0.21/0.43 fof(f1226,plain,(
% 0.21/0.43 ![X0]: (~c_Com_Ocom_OWhile(v_ba,v_ca)=c_Com_Ocom_OWhile(v_b,v_c)|~hBOOL(hAPP(v_b,v_s2))|~hBOOL(hAPP(hAPP(v_P,X0),v_s1))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)))),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f1225])).
% 0.21/0.43 fof(f1227,plain,(
% 0.21/0.43 (![V_Za]: ((~c_Com_Ocom_OWhile(v_ba,v_ca)=c_Com_Ocom_OWhile(v_b,v_c)|hBOOL(hAPP(hAPP(v_P,V_Za),v_s2)))|~hBOOL(hAPP(hAPP(v_P,V_Za),v_s1))))|~c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)),
% 0.21/0.43 inference(miniscoping,[status(esa)],[f473])).
% 0.21/0.43 fof(f1228,plain,(
% 0.21/0.43 ![X0]: (~c_Com_Ocom_OWhile(v_ba,v_ca)=c_Com_Ocom_OWhile(v_b,v_c)|hBOOL(hAPP(hAPP(v_P,X0),v_s2))|~hBOOL(hAPP(hAPP(v_P,X0),v_s1))|~c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a))),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f1227])).
% 0.21/0.43 fof(f1229,plain,(
% 0.21/0.43 ((~c_Com_Ocom_OWhile(v_ba,v_ca)=c_Com_Ocom_OWhile(v_b,v_c)|~hBOOL(hAPP(v_b,v_s2)))|(![V_Za]: ~hBOOL(hAPP(hAPP(v_P,V_Za),v_s1))))|~c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)),
% 0.21/0.43 inference(miniscoping,[status(esa)],[f474])).
% 0.21/0.43 fof(f1230,plain,(
% 0.21/0.43 ![X0]: (~c_Com_Ocom_OWhile(v_ba,v_ca)=c_Com_Ocom_OWhile(v_b,v_c)|~hBOOL(hAPP(v_b,v_s2))|~hBOOL(hAPP(hAPP(v_P,X0),v_s1))|~c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a))),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f1229])).
% 0.21/0.43 fof(f1231,plain,(
% 0.21/0.43 ![V_na]: ((![V_Z,V_s]: (((![V_s_H]: (hBOOL(hAPP(hAPP(v_P,V_Z),V_s_H))|~c_Natural_Oevaln(v_c,V_s,V_na,V_s_H)))|~hBOOL(hAPP(v_b,V_s)))|~hBOOL(hAPP(hAPP(v_P,V_Z),V_s))))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(V_na)),v_G)))),
% 0.21/0.43 inference(miniscoping,[status(esa)],[f475])).
% 0.21/0.43 fof(f1232,plain,(
% 0.21/0.43 ![X0,X1,X2,X3]: (hBOOL(hAPP(hAPP(v_P,X0),X1))|~c_Natural_Oevaln(v_c,X2,X3,X1)|~hBOOL(hAPP(v_b,X2))|~hBOOL(hAPP(hAPP(v_P,X0),X2))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X3)),v_G)))),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f1231])).
% 0.21/0.43 fof(f1233,plain,(
% 0.21/0.43 ![V_na]: ((![V_Za,V_sa]: (((![V_s_Ha]: (hBOOL(hAPP(hAPP(v_P,V_Za),V_s_Ha))|~c_Natural_Oevaln(v_c,V_sa,V_na,V_s_Ha)))|~hBOOL(hAPP(v_b,V_sa)))|~hBOOL(hAPP(hAPP(v_P,V_Za),V_sa))))|~c_Hoare__Mirabelle_Otriple__valid(V_na,v_n(V_na),t_a))),
% 0.21/0.43 inference(miniscoping,[status(esa)],[f476])).
% 0.21/0.43 fof(f1234,plain,(
% 0.21/0.43 ![X0,X1,X2,X3]: (hBOOL(hAPP(hAPP(v_P,X0),X1))|~c_Natural_Oevaln(v_c,X2,X3,X1)|~hBOOL(hAPP(v_b,X2))|~hBOOL(hAPP(hAPP(v_P,X0),X2))|~c_Hoare__Mirabelle_Otriple__valid(X3,v_n(X3),t_a))),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f1233])).
% 0.21/0.43 fof(f1277,plain,(
% 0.21/0.43 spl0_0 <=> hBOOL(hAPP(v_b,v_s2))),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f1280,plain,(
% 0.21/0.43 spl0_1 <=> hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f1282,plain,(
% 0.21/0.43 ~hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))|spl0_1),
% 0.21/0.43 inference(component_clause,[status(thm)],[f1280])).
% 0.21/0.43 fof(f1283,plain,(
% 0.21/0.43 spl0_0|~spl0_1),
% 0.21/0.43 inference(split_clause,[status(thm)],[f1214,f1277,f1280])).
% 0.21/0.43 fof(f1306,plain,(
% 0.21/0.43 spl0_8 <=> c_Com_Ocom_OWhile(v_ba,v_ca)=c_Com_Ocom_OWhile(v_b,v_c)),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f1308,plain,(
% 0.21/0.43 ~c_Com_Ocom_OWhile(v_ba,v_ca)=c_Com_Ocom_OWhile(v_b,v_c)|spl0_8),
% 0.21/0.43 inference(component_clause,[status(thm)],[f1306])).
% 0.21/0.43 fof(f1309,plain,(
% 0.21/0.43 spl0_9 <=> hBOOL(hAPP(hAPP(v_P,X0),v_s2))|~hBOOL(hAPP(hAPP(v_P,X0),v_s1))),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f1310,plain,(
% 0.21/0.43 ![X0]: (hBOOL(hAPP(hAPP(v_P,X0),v_s2))|~hBOOL(hAPP(hAPP(v_P,X0),v_s1))|~spl0_9)),
% 0.21/0.43 inference(component_clause,[status(thm)],[f1309])).
% 0.21/0.43 fof(f1312,plain,(
% 0.21/0.43 spl0_10 <=> hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f1313,plain,(
% 0.21/0.43 hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))|~spl0_10),
% 0.21/0.43 inference(component_clause,[status(thm)],[f1312])).
% 0.21/0.43 fof(f1315,plain,(
% 0.21/0.43 ~spl0_8|spl0_9|spl0_10),
% 0.21/0.43 inference(split_clause,[status(thm)],[f1224,f1306,f1309,f1312])).
% 0.21/0.43 fof(f1316,plain,(
% 0.21/0.43 spl0_11 <=> ~hBOOL(hAPP(hAPP(v_P,X0),v_s1))),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f1317,plain,(
% 0.21/0.43 ![X0]: (~hBOOL(hAPP(hAPP(v_P,X0),v_s1))|~spl0_11)),
% 0.21/0.43 inference(component_clause,[status(thm)],[f1316])).
% 0.21/0.43 fof(f1319,plain,(
% 0.21/0.43 ~spl0_8|~spl0_0|spl0_11|spl0_10),
% 0.21/0.43 inference(split_clause,[status(thm)],[f1226,f1306,f1277,f1316,f1312])).
% 0.21/0.43 fof(f1320,plain,(
% 0.21/0.43 spl0_12 <=> c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f1322,plain,(
% 0.21/0.43 ~c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)|spl0_12),
% 0.21/0.43 inference(component_clause,[status(thm)],[f1320])).
% 0.21/0.43 fof(f1323,plain,(
% 0.21/0.43 ~spl0_8|spl0_9|~spl0_12),
% 0.21/0.43 inference(split_clause,[status(thm)],[f1228,f1306,f1309,f1320])).
% 0.21/0.43 fof(f1324,plain,(
% 0.21/0.43 ~spl0_8|~spl0_0|spl0_11|~spl0_12),
% 0.21/0.43 inference(split_clause,[status(thm)],[f1230,f1306,f1277,f1316,f1320])).
% 0.21/0.43 fof(f1351,plain,(
% 0.21/0.43 ![X0]: (c_Natural_Oevaln(c_Com_Ocom_OWhile(v_ba,v_ca),X0,v_na,v_s2)|~c_Natural_Oevaln(v_ca,X0,v_na,v_s1)|~hBOOL(hAPP(v_ba,X0)))),
% 0.21/0.43 inference(resolution,[status(thm)],[f1202,f1209])).
% 0.21/0.43 fof(f1365,plain,(
% 0.21/0.43 ~c_Com_Ocom_OWhile(v_ba,v_ca)=c_Com_Ocom_OWhile(v_ba,v_c)|spl0_8),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f1210,f1308])).
% 0.21/0.43 fof(f1366,plain,(
% 0.21/0.43 ~c_Com_Ocom_OWhile(v_ba,v_ca)=c_Com_Ocom_OWhile(v_ba,v_ca)|spl0_8),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f1211,f1365])).
% 0.21/0.43 fof(f1367,plain,(
% 0.21/0.43 $false|spl0_8),
% 0.21/0.43 inference(trivial_equality_resolution,[status(esa)],[f1366])).
% 0.21/0.43 fof(f1368,plain,(
% 0.21/0.43 spl0_8),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f1367])).
% 0.21/0.43 fof(f1420,plain,(
% 0.21/0.43 ![X0,X1,X2,X3]: (hBOOL(hAPP(hAPP(v_P,X0),X1))|~c_Natural_Oevaln(v_ca,X2,X3,X1)|~hBOOL(hAPP(v_b,X2))|~hBOOL(hAPP(hAPP(v_P,X0),X2))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X3)),v_G)))),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f1211,f1232])).
% 0.21/0.43 fof(f1421,plain,(
% 0.21/0.43 ![X0,X1,X2,X3]: (hBOOL(hAPP(hAPP(v_P,X0),X1))|~c_Natural_Oevaln(v_ca,X2,X3,X1)|~hBOOL(hAPP(v_ba,X2))|~hBOOL(hAPP(hAPP(v_P,X0),X2))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X3)),v_G)))),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f1210,f1420])).
% 0.21/0.43 fof(f1422,plain,(
% 0.21/0.43 spl0_18 <=> hBOOL(hAPP(hAPP(v_P,v_xb),X0))|~c_Natural_Oevaln(v_ca,v_s0,X1,X0)|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X1)),v_G))),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f1423,plain,(
% 0.21/0.43 ![X0,X1]: (hBOOL(hAPP(hAPP(v_P,v_xb),X0))|~c_Natural_Oevaln(v_ca,v_s0,X1,X0)|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X1)),v_G))|~spl0_18)),
% 0.21/0.43 inference(component_clause,[status(thm)],[f1422])).
% 0.21/0.43 fof(f1425,plain,(
% 0.21/0.43 spl0_19 <=> hBOOL(hAPP(v_ba,v_s0))),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f1427,plain,(
% 0.21/0.43 ~hBOOL(hAPP(v_ba,v_s0))|spl0_19),
% 0.21/0.43 inference(component_clause,[status(thm)],[f1425])).
% 0.21/0.43 fof(f1428,plain,(
% 0.21/0.43 ![X0,X1]: (hBOOL(hAPP(hAPP(v_P,v_xb),X0))|~c_Natural_Oevaln(v_ca,v_s0,X1,X0)|~hBOOL(hAPP(v_ba,v_s0))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X1)),v_G)))),
% 0.21/0.43 inference(resolution,[status(thm)],[f1421,f1212])).
% 0.21/0.43 fof(f1429,plain,(
% 0.21/0.43 spl0_18|~spl0_19),
% 0.21/0.43 inference(split_clause,[status(thm)],[f1428,f1422,f1425])).
% 0.21/0.43 fof(f1430,plain,(
% 0.21/0.43 $false|spl0_19),
% 0.21/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1427,f1207])).
% 0.21/0.43 fof(f1431,plain,(
% 0.21/0.43 spl0_19),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f1430])).
% 0.21/0.43 fof(f1437,plain,(
% 0.21/0.43 spl0_21 <=> hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f1438,plain,(
% 0.21/0.43 hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))|~spl0_21),
% 0.21/0.43 inference(component_clause,[status(thm)],[f1437])).
% 0.21/0.43 fof(f1449,plain,(
% 0.21/0.43 spl0_23 <=> c_Natural_Oevaln(c_Com_Ocom_OWhile(v_ba,v_ca),v_s0,v_na,v_s2)),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f1452,plain,(
% 0.21/0.43 c_Natural_Oevaln(c_Com_Ocom_OWhile(v_ba,v_ca),v_s0,v_na,v_s2)|~hBOOL(hAPP(v_ba,v_s0))),
% 0.21/0.43 inference(resolution,[status(thm)],[f1351,f1208])).
% 0.21/0.43 fof(f1453,plain,(
% 0.21/0.43 spl0_23|~spl0_19),
% 0.21/0.43 inference(split_clause,[status(thm)],[f1452,f1449,f1425])).
% 0.21/0.43 fof(f1470,plain,(
% 0.21/0.43 ![X0,X1,X2,X3]: (hBOOL(hAPP(hAPP(v_P,X0),X1))|~c_Natural_Oevaln(v_ca,X2,X3,X1)|~hBOOL(hAPP(v_b,X2))|~hBOOL(hAPP(hAPP(v_P,X0),X2))|~c_Hoare__Mirabelle_Otriple__valid(X3,v_n(X3),t_a))),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f1211,f1234])).
% 0.21/0.43 fof(f1471,plain,(
% 0.21/0.43 ![X0,X1,X2,X3]: (hBOOL(hAPP(hAPP(v_P,X0),X1))|~c_Natural_Oevaln(v_ca,X2,X3,X1)|~hBOOL(hAPP(v_ba,X2))|~hBOOL(hAPP(hAPP(v_P,X0),X2))|~c_Hoare__Mirabelle_Otriple__valid(X3,v_n(X3),t_a))),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f1210,f1470])).
% 0.21/0.43 fof(f1472,plain,(
% 0.21/0.43 spl0_26 <=> hBOOL(hAPP(hAPP(v_P,v_xb),X0))|~c_Natural_Oevaln(v_ca,v_s0,X1,X0)|~c_Hoare__Mirabelle_Otriple__valid(X1,v_n(X1),t_a)),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f1473,plain,(
% 0.21/0.43 ![X0,X1]: (hBOOL(hAPP(hAPP(v_P,v_xb),X0))|~c_Natural_Oevaln(v_ca,v_s0,X1,X0)|~c_Hoare__Mirabelle_Otriple__valid(X1,v_n(X1),t_a)|~spl0_26)),
% 0.21/0.43 inference(component_clause,[status(thm)],[f1472])).
% 0.21/0.43 fof(f1475,plain,(
% 0.21/0.43 ![X0,X1]: (hBOOL(hAPP(hAPP(v_P,v_xb),X0))|~c_Natural_Oevaln(v_ca,v_s0,X1,X0)|~hBOOL(hAPP(v_ba,v_s0))|~c_Hoare__Mirabelle_Otriple__valid(X1,v_n(X1),t_a))),
% 0.21/0.43 inference(resolution,[status(thm)],[f1471,f1212])).
% 0.21/0.43 fof(f1476,plain,(
% 0.21/0.43 spl0_26|~spl0_19),
% 0.21/0.43 inference(split_clause,[status(thm)],[f1475,f1472,f1425])).
% 0.21/0.43 fof(f1504,plain,(
% 0.21/0.43 $false|~spl0_11|~spl0_21),
% 0.21/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1438,f1317])).
% 0.21/0.43 fof(f1505,plain,(
% 0.21/0.43 ~spl0_11|~spl0_21),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f1504])).
% 0.21/0.43 fof(f1538,plain,(
% 0.21/0.43 c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)|~spl0_10),
% 0.21/0.43 inference(resolution,[status(thm)],[f1313,f1213])).
% 0.21/0.43 fof(f1539,plain,(
% 0.21/0.43 $false|spl0_12|~spl0_10),
% 0.21/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1538,f1322])).
% 0.21/0.43 fof(f1540,plain,(
% 0.21/0.43 spl0_12|~spl0_10),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f1539])).
% 0.21/0.43 fof(f1557,plain,(
% 0.21/0.43 spl0_32 <=> hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G))),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f1558,plain,(
% 0.21/0.43 hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G))|~spl0_32),
% 0.21/0.43 inference(component_clause,[status(thm)],[f1557])).
% 0.21/0.43 fof(f1560,plain,(
% 0.21/0.43 hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G))|~spl0_18),
% 0.21/0.43 inference(resolution,[status(thm)],[f1423,f1208])).
% 0.21/0.43 fof(f1561,plain,(
% 0.21/0.43 spl0_21|spl0_32|~spl0_18),
% 0.21/0.43 inference(split_clause,[status(thm)],[f1560,f1437,f1557,f1422])).
% 0.21/0.43 fof(f1562,plain,(
% 0.21/0.43 c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a)|~spl0_32),
% 0.21/0.43 inference(resolution,[status(thm)],[f1558,f1213])).
% 0.21/0.43 fof(f1565,plain,(
% 0.21/0.43 ![X0]: (hBOOL(hAPP(hAPP(v_P,v_xb),X0))|~c_Natural_Oevaln(v_ca,v_s0,v_na,X0)|~spl0_32|~spl0_26)),
% 0.21/0.43 inference(resolution,[status(thm)],[f1562,f1473])).
% 0.21/0.43 fof(f1709,plain,(
% 0.21/0.43 hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))|~spl0_32|~spl0_26),
% 0.21/0.43 inference(resolution,[status(thm)],[f1565,f1208])).
% 0.21/0.43 fof(f1710,plain,(
% 0.21/0.43 spl0_21|~spl0_32|~spl0_26),
% 0.21/0.43 inference(split_clause,[status(thm)],[f1709,f1437,f1557,f1472])).
% 0.21/0.43 fof(f1741,plain,(
% 0.21/0.43 hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))|~spl0_9|~spl0_21),
% 0.21/0.43 inference(resolution,[status(thm)],[f1310,f1438])).
% 0.21/0.43 fof(f1742,plain,(
% 0.21/0.43 $false|spl0_1|~spl0_9|~spl0_21),
% 0.21/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1741,f1282])).
% 0.21/0.43 fof(f1743,plain,(
% 0.21/0.43 spl0_1|~spl0_9|~spl0_21),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f1742])).
% 0.21/0.43 fof(f1744,plain,(
% 0.21/0.43 $false),
% 0.21/0.43 inference(sat_refutation,[status(thm)],[f1283,f1315,f1319,f1323,f1324,f1368,f1429,f1431,f1453,f1476,f1505,f1540,f1561,f1710,f1743])).
% 0.21/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.45 % Elapsed time: 0.093012 seconds
% 0.21/0.45 % CPU time: 0.363977 seconds
% 0.21/0.45 % Memory used: 34.690 MB
%------------------------------------------------------------------------------