%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV849-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:53:15 PM UTC 2026
% Result : Unsatisfiable 0.28s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV849-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n019.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 09:28:19 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.49 % Drodi V4.1.1
% 0.28/0.53 % Refutation found
% 0.28/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.28/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.28/0.53 fof(f456,axiom,(
% 0.28/0.53 (![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)) ) ))),
% 0.28/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.53 fof(f459,negated_conjecture,(
% 0.28/0.53 hBOOL(hAPP(v_ba,v_s0)) ),
% 0.28/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.53 fof(f460,negated_conjecture,(
% 0.28/0.53 c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1) ),
% 0.28/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.53 fof(f461,negated_conjecture,(
% 0.28/0.53 c_Natural_Oevaln(c_Com_Ocom_OWhile(v_ba,v_ca),v_s1,v_na,v_s2) ),
% 0.28/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.53 fof(f462,negated_conjecture,(
% 0.28/0.53 v_ba = v_b ),
% 0.28/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.53 fof(f463,negated_conjecture,(
% 0.28/0.53 v_ca = v_c ),
% 0.28/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.53 fof(f464,negated_conjecture,(
% 0.28/0.53 hBOOL(hAPP(hAPP(v_P,v_xb),v_s0)) ),
% 0.28/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.53 fof(f465,negated_conjecture,(
% 0.28/0.53 (![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)) ) ))),
% 0.28/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.53 fof(f466,negated_conjecture,(
% 0.28/0.53 ( hBOOL(hAPP(v_b,v_s2))| ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)) ) ),
% 0.28/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.53 fof(f471,negated_conjecture,(
% 0.28/0.53 (![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)) ) ))),
% 0.28/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.53 fof(f472,negated_conjecture,(
% 0.28/0.53 (![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)) ) ))),
% 0.28/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.53 fof(f473,negated_conjecture,(
% 0.28/0.53 (![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) ) ))),
% 0.28/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.53 fof(f474,negated_conjecture,(
% 0.28/0.53 (![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) ) ))),
% 0.28/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.53 fof(f475,negated_conjecture,(
% 0.28/0.53 (![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)) ) ))),
% 0.28/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.53 fof(f476,negated_conjecture,(
% 0.28/0.53 (![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) ) ))),
% 0.28/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.53 fof(f1201,plain,(
% 0.28/0.53 ![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)))),
% 0.28/0.53 inference(miniscoping,[status(thm)],[f456])).
% 0.28/0.53 fof(f1202,plain,(
% 0.28/0.53 ![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)))),
% 0.28/0.53 inference(cnf_transformation,[status(thm)],[f1201])).
% 0.28/0.53 fof(f1207,plain,(
% 0.28/0.53 hBOOL(hAPP(v_ba,v_s0))),
% 0.28/0.53 inference(cnf_transformation,[status(thm)],[f459])).
% 0.28/0.53 fof(f1208,plain,(
% 0.28/0.53 c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1)),
% 0.28/0.53 inference(cnf_transformation,[status(thm)],[f460])).
% 0.28/0.53 fof(f1209,plain,(
% 0.28/0.53 c_Natural_Oevaln(c_Com_Ocom_OWhile(v_ba,v_ca),v_s1,v_na,v_s2)),
% 0.28/0.53 inference(cnf_transformation,[status(thm)],[f461])).
% 0.28/0.53 fof(f1210,plain,(
% 0.28/0.53 v_ba=v_b),
% 0.28/0.53 inference(cnf_transformation,[status(thm)],[f462])).
% 0.28/0.53 fof(f1211,plain,(
% 0.28/0.53 v_ca=v_c),
% 0.28/0.53 inference(cnf_transformation,[status(thm)],[f463])).
% 0.28/0.53 fof(f1212,plain,(
% 0.28/0.53 hBOOL(hAPP(hAPP(v_P,v_xb),v_s0))),
% 0.28/0.53 inference(cnf_transformation,[status(thm)],[f464])).
% 0.28/0.53 fof(f1213,plain,(
% 0.28/0.53 ![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)))),
% 0.28/0.53 inference(cnf_transformation,[status(thm)],[f465])).
% 0.28/0.53 fof(f1214,plain,(
% 0.28/0.53 hBOOL(hAPP(v_b,v_s2))|~hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))),
% 0.28/0.53 inference(cnf_transformation,[status(thm)],[f466])).
% 0.28/0.53 fof(f1223,plain,(
% 0.28/0.53 (![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))),
% 0.28/0.53 inference(miniscoping,[status(thm)],[f471])).
% 0.28/0.53 fof(f1224,plain,(
% 0.28/0.53 ![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)))),
% 0.28/0.53 inference(cnf_transformation,[status(thm)],[f1223])).
% 0.28/0.53 fof(f1225,plain,(
% 0.28/0.53 ((~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))),
% 0.28/0.53 inference(miniscoping,[status(thm)],[f472])).
% 0.28/0.53 fof(f1226,plain,(
% 0.28/0.53 ![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)))),
% 0.28/0.53 inference(cnf_transformation,[status(thm)],[f1225])).
% 0.28/0.53 fof(f1227,plain,(
% 0.28/0.53 (![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)),
% 0.28/0.53 inference(miniscoping,[status(thm)],[f473])).
% 0.28/0.53 fof(f1228,plain,(
% 0.28/0.53 ![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))),
% 0.28/0.53 inference(cnf_transformation,[status(thm)],[f1227])).
% 0.28/0.53 fof(f1229,plain,(
% 0.28/0.53 ((~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)),
% 0.28/0.53 inference(miniscoping,[status(thm)],[f474])).
% 0.28/0.53 fof(f1230,plain,(
% 0.28/0.53 ![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))),
% 0.28/0.53 inference(cnf_transformation,[status(thm)],[f1229])).
% 0.28/0.53 fof(f1231,plain,(
% 0.28/0.53 ![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)))),
% 0.28/0.53 inference(miniscoping,[status(thm)],[f475])).
% 0.28/0.53 fof(f1232,plain,(
% 0.28/0.53 ![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)))),
% 0.28/0.53 inference(cnf_transformation,[status(thm)],[f1231])).
% 0.28/0.53 fof(f1233,plain,(
% 0.28/0.53 ![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))),
% 0.28/0.53 inference(miniscoping,[status(thm)],[f476])).
% 0.28/0.53 fof(f1234,plain,(
% 0.28/0.53 ![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))),
% 0.28/0.53 inference(cnf_transformation,[status(thm)],[f1233])).
% 0.28/0.53 fof(f1277,definition,(
% 0.28/0.53 sQ0_spl <=> (hBOOL(hAPP(v_b,v_s2)))),
% 0.28/0.53 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.28/0.53 fof(f1280,definition,(
% 0.28/0.53 sQ1_spl <=> (hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)))),
% 0.28/0.53 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.28/0.53 fof(f1282,plain,(
% 0.28/0.53 ~hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))|sQ1_spl),
% 0.28/0.53 inference(component_clause,[status(thm)],[f1280])).
% 0.28/0.53 fof(f1283,plain,(
% 0.28/0.53 sQ0_spl|~sQ1_spl),
% 0.28/0.53 inference(split_clause,[status(thm)],[f1214,f1277,f1280])).
% 0.28/0.53 fof(f1287,definition,(
% 0.28/0.53 ![X0]: (sQ3_spl <=> (hBOOL(hAPP(hAPP(v_P,X0),v_s1))|~hBOOL(hAPP(hAPP(v_P,X0),v_s0))))),
% 0.28/0.53 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.28/0.53 fof(f1288,plain,(
% 0.28/0.53 ![X0]: (hBOOL(hAPP(hAPP(v_P,X0),v_s1))|~hBOOL(hAPP(hAPP(v_P,X0),v_s0))|~sQ3_spl)),
% 0.28/0.53 inference(component_clause,[status(thm)],[f1287])).
% 0.28/0.53 fof(f1306,definition,(
% 0.28/0.53 sQ8_spl <=> (c_Com_Ocom_OWhile(v_ba,v_ca)=c_Com_Ocom_OWhile(v_b,v_c))),
% 0.28/0.53 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.28/0.53 fof(f1308,plain,(
% 0.28/0.53 ~c_Com_Ocom_OWhile(v_ba,v_ca)=c_Com_Ocom_OWhile(v_b,v_c)|sQ8_spl),
% 0.28/0.53 inference(component_clause,[status(thm)],[f1306])).
% 0.28/0.53 fof(f1309,definition,(
% 0.28/0.53 ![X0]: (sQ9_spl <=> (hBOOL(hAPP(hAPP(v_P,X0),v_s2))|~hBOOL(hAPP(hAPP(v_P,X0),v_s1))))),
% 0.28/0.53 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.28/0.53 fof(f1310,plain,(
% 0.28/0.53 ![X0]: (hBOOL(hAPP(hAPP(v_P,X0),v_s2))|~hBOOL(hAPP(hAPP(v_P,X0),v_s1))|~sQ9_spl)),
% 0.28/0.53 inference(component_clause,[status(thm)],[f1309])).
% 0.28/0.53 fof(f1312,definition,(
% 0.28/0.53 sQ10_spl <=> (hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)))),
% 0.28/0.53 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.28/0.53 fof(f1313,plain,(
% 0.28/0.53 hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))|~sQ10_spl),
% 0.28/0.53 inference(component_clause,[status(thm)],[f1312])).
% 0.28/0.53 fof(f1315,plain,(
% 0.28/0.53 ~sQ8_spl|sQ9_spl|sQ10_spl),
% 0.28/0.53 inference(split_clause,[status(thm)],[f1224,f1306,f1309,f1312])).
% 0.28/0.53 fof(f1316,definition,(
% 0.28/0.53 ![X0]: (sQ11_spl <=> (~hBOOL(hAPP(hAPP(v_P,X0),v_s1))))),
% 0.28/0.53 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.28/0.53 fof(f1317,plain,(
% 0.28/0.53 ![X0]: (~hBOOL(hAPP(hAPP(v_P,X0),v_s1))|~sQ11_spl)),
% 0.28/0.53 inference(component_clause,[status(thm)],[f1316])).
% 0.28/0.53 fof(f1319,plain,(
% 0.28/0.53 ~sQ8_spl|~sQ0_spl|sQ11_spl|sQ10_spl),
% 0.28/0.53 inference(split_clause,[status(thm)],[f1226,f1306,f1277,f1316,f1312])).
% 0.28/0.53 fof(f1320,definition,(
% 0.28/0.53 sQ12_spl <=> (c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a))),
% 0.28/0.53 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.28/0.53 fof(f1322,plain,(
% 0.28/0.53 ~c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)|sQ12_spl),
% 0.28/0.53 inference(component_clause,[status(thm)],[f1320])).
% 0.28/0.53 fof(f1323,plain,(
% 0.28/0.53 ~sQ8_spl|sQ9_spl|~sQ12_spl),
% 0.28/0.53 inference(split_clause,[status(thm)],[f1228,f1306,f1309,f1320])).
% 0.28/0.53 fof(f1324,plain,(
% 0.28/0.53 ~sQ8_spl|~sQ0_spl|sQ11_spl|~sQ12_spl),
% 0.28/0.53 inference(split_clause,[status(thm)],[f1230,f1306,f1277,f1316,f1320])).
% 0.28/0.53 fof(f1347,plain,(
% 0.28/0.53 ~c_Com_Ocom_OWhile(v_ba,v_ca)=c_Com_Ocom_OWhile(v_ba,v_c)|sQ8_spl),
% 0.28/0.53 inference(forward_demodulation,[status(thm)],[f1210,f1308])).
% 0.28/0.53 fof(f1348,plain,(
% 0.28/0.53 ~c_Com_Ocom_OWhile(v_ba,v_ca)=c_Com_Ocom_OWhile(v_ba,v_ca)|sQ8_spl),
% 0.28/0.53 inference(forward_demodulation,[status(thm)],[f1211,f1347])).
% 0.28/0.53 fof(f1349,plain,(
% 0.28/0.53 $false|sQ8_spl),
% 0.28/0.53 inference(trivial_equality_resolution,[status(thm)],[f1348])).
% 0.28/0.53 fof(f1350,plain,(
% 0.28/0.53 sQ8_spl),
% 0.28/0.53 inference(contradiction_clause,[status(thm)],[f1349])).
% 0.28/0.53 fof(f1378,plain,(
% 0.28/0.53 ![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)))),
% 0.28/0.53 inference(resolution,[status(thm)],[f1202,f1209])).
% 0.28/0.53 fof(f1380,plain,(
% 0.28/0.53 ![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)))),
% 0.28/0.53 inference(forward_demodulation,[status(thm)],[f1211,f1232])).
% 0.28/0.53 fof(f1381,plain,(
% 0.28/0.53 ![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)))),
% 0.28/0.53 inference(forward_demodulation,[status(thm)],[f1210,f1380])).
% 0.28/0.53 fof(f1382,plain,(
% 0.28/0.53 ![X0]: (hBOOL(hAPP(hAPP(v_P,X0),v_s1))|~hBOOL(hAPP(v_ba,v_s0))|~hBOOL(hAPP(hAPP(v_P,X0),v_s0))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G)))),
% 0.28/0.53 inference(resolution,[status(thm)],[f1381,f1208])).
% 0.28/0.53 fof(f1383,definition,(
% 0.28/0.53 sQ18_spl <=> (hBOOL(hAPP(v_ba,v_s0)))),
% 0.28/0.53 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.28/0.53 fof(f1385,plain,(
% 0.28/0.53 ~hBOOL(hAPP(v_ba,v_s0))|sQ18_spl),
% 0.28/0.53 inference(component_clause,[status(thm)],[f1383])).
% 0.28/0.53 fof(f1386,definition,(
% 0.28/0.53 sQ19_spl <=> (hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G)))),
% 0.28/0.53 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.28/0.53 fof(f1387,plain,(
% 0.28/0.53 hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G))|~sQ19_spl),
% 0.28/0.53 inference(component_clause,[status(thm)],[f1386])).
% 0.28/0.53 fof(f1389,plain,(
% 0.28/0.53 sQ3_spl|~sQ18_spl|sQ19_spl),
% 0.28/0.53 inference(split_clause,[status(thm)],[f1382,f1287,f1383,f1386])).
% 0.28/0.53 fof(f1390,plain,(
% 0.28/0.53 ![X0]: (~hBOOL(hAPP(hAPP(v_P,X0),v_s0))|~sQ11_spl|~sQ3_spl)),
% 0.28/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1288,f1317])).
% 0.28/0.53 fof(f1391,plain,(
% 0.28/0.53 $false|~sQ11_spl|~sQ3_spl),
% 0.28/0.53 inference(backward_subsumption_resolution,[status(thm)],[f1212,f1390])).
% 0.28/0.53 fof(f1392,plain,(
% 0.28/0.53 ~sQ11_spl|~sQ3_spl),
% 0.28/0.53 inference(contradiction_clause,[status(thm)],[f1391])).
% 0.28/0.53 fof(f1393,plain,(
% 0.28/0.53 $false|sQ18_spl),
% 0.28/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1385,f1207])).
% 0.28/0.53 fof(f1394,plain,(
% 0.28/0.53 sQ18_spl),
% 0.28/0.53 inference(contradiction_clause,[status(thm)],[f1393])).
% 0.28/0.53 fof(f1395,plain,(
% 0.28/0.53 ![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))),
% 0.28/0.53 inference(forward_demodulation,[status(thm)],[f1211,f1234])).
% 0.28/0.53 fof(f1396,plain,(
% 0.28/0.53 ![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))),
% 0.28/0.53 inference(forward_demodulation,[status(thm)],[f1210,f1395])).
% 0.28/0.53 fof(f1397,plain,(
% 0.28/0.53 ![X0]: (hBOOL(hAPP(hAPP(v_P,X0),v_s1))|~hBOOL(hAPP(v_ba,v_s0))|~hBOOL(hAPP(hAPP(v_P,X0),v_s0))|~c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a))),
% 0.28/0.53 inference(resolution,[status(thm)],[f1396,f1208])).
% 0.28/0.53 fof(f1398,definition,(
% 0.28/0.53 sQ20_spl <=> (c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a))),
% 0.28/0.53 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.28/0.53 fof(f1400,plain,(
% 0.28/0.53 ~c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a)|sQ20_spl),
% 0.28/0.53 inference(component_clause,[status(thm)],[f1398])).
% 0.28/0.53 fof(f1401,plain,(
% 0.28/0.53 sQ3_spl|~sQ18_spl|~sQ20_spl),
% 0.28/0.53 inference(split_clause,[status(thm)],[f1397,f1287,f1383,f1398])).
% 0.28/0.53 fof(f1403,plain,(
% 0.28/0.53 c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)|~sQ10_spl),
% 0.28/0.53 inference(resolution,[status(thm)],[f1313,f1213])).
% 0.28/0.53 fof(f1407,plain,(
% 0.28/0.53 $false|sQ12_spl|~sQ10_spl),
% 0.28/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1403,f1322])).
% 0.28/0.53 fof(f1408,plain,(
% 0.28/0.53 sQ12_spl|~sQ10_spl),
% 0.28/0.53 inference(contradiction_clause,[status(thm)],[f1407])).
% 0.28/0.53 fof(f1412,plain,(
% 0.28/0.53 hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))|~sQ3_spl),
% 0.28/0.53 inference(resolution,[status(thm)],[f1288,f1212])).
% 0.28/0.53 fof(f1428,plain,(
% 0.28/0.53 hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))|~sQ3_spl|~sQ9_spl),
% 0.28/0.53 inference(resolution,[status(thm)],[f1412,f1310])).
% 0.28/0.53 fof(f1430,plain,(
% 0.28/0.53 $false|sQ1_spl|~sQ3_spl|~sQ9_spl),
% 0.28/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1428,f1282])).
% 0.28/0.53 fof(f1431,plain,(
% 0.28/0.53 sQ1_spl|~sQ3_spl|~sQ9_spl),
% 0.28/0.53 inference(contradiction_clause,[status(thm)],[f1430])).
% 0.28/0.53 fof(f1447,plain,(
% 0.28/0.53 c_Natural_Oevaln(c_Com_Ocom_OWhile(v_ba,v_ca),v_s0,v_na,v_s2)|~hBOOL(hAPP(v_ba,v_s0))),
% 0.28/0.53 inference(resolution,[status(thm)],[f1378,f1208])).
% 0.28/0.53 fof(f1448,definition,(
% 0.28/0.53 sQ21_spl <=> (c_Natural_Oevaln(c_Com_Ocom_OWhile(v_ba,v_ca),v_s0,v_na,v_s2))),
% 0.28/0.53 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.28/0.53 fof(f1451,plain,(
% 0.28/0.53 sQ21_spl|~sQ18_spl),
% 0.28/0.53 inference(split_clause,[status(thm)],[f1447,f1448,f1383])).
% 0.28/0.53 fof(f1471,plain,(
% 0.28/0.53 c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a)|~sQ19_spl),
% 0.28/0.53 inference(resolution,[status(thm)],[f1387,f1213])).
% 0.28/0.53 fof(f1475,plain,(
% 0.28/0.53 $false|sQ20_spl|~sQ19_spl),
% 0.28/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1471,f1400])).
% 0.28/0.53 fof(f1476,plain,(
% 0.28/0.53 sQ20_spl|~sQ19_spl),
% 0.28/0.53 inference(contradiction_clause,[status(thm)],[f1475])).
% 0.28/0.53 fof(f1477,plain,(
% 0.28/0.53 $false),
% 0.28/0.53 inference(sat_refutation,[status(thm)],[f1283,f1315,f1319,f1323,f1324,f1350,f1389,f1392,f1394,f1401,f1408,f1431,f1451,f1476])).
% 0.28/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.28/0.58 % Elapsed time: 0.130076 seconds
% 0.28/0.58 % CPU time: 0.342537 seconds
% 0.28/0.58 % Total memory used: 122.579 MB
% 0.28/0.58 % Net memory used: 122.336 MB
%------------------------------------------------------------------------------