0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.23 % Computer : n014.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 06:14:39 CDT 2018 0.07/0.23 % CPUTime : 0.37/0.60 % dis+11_8:1_afp=100000:afq=1.2:amm=off:anc=none:cond=on:gs=on:gsem=off:lcm=reverse:lma=on:nm=64:nwc=1:sd=1:ss=axioms:sp=occurrence:urr=on_11 on theBenchmark 1.98/2.20 % Time limit reached! 1.98/2.20 % ------------------------------ 1.98/2.20 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 1.98/2.20 % Termination reason: Time limit 1.98/2.20 % Termination phase: Saturation 1.98/2.20 1.98/2.20 % Memory used [KB]: 66651 1.98/2.20 % Time elapsed: 1.600 s 1.98/2.20 % ------------------------------ 1.98/2.20 % ------------------------------ 1.98/2.24 % dis-1_2:3_av=off:cond=on:fsr=off:irw=on:lma=on:nwc=3:sd=3:ss=axioms:st=3.0:sp=occurrence:updr=off_9 on theBenchmark 3.35/3.54 % Time limit reached! 3.35/3.54 % ------------------------------ 3.35/3.54 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.35/3.54 % Termination reason: Time limit 3.35/3.54 % Termination phase: Saturation 3.35/3.54 3.35/3.54 % Memory used [KB]: 50788 3.35/3.54 % Time elapsed: 1.300 s 3.35/3.54 % ------------------------------ 3.35/3.54 % ------------------------------ 3.35/3.58 % dis+1010_10_afr=on:afp=100000:afq=2.0:amm=sco:anc=none:ep=RS:fde=unused:gs=on:nwc=1:sos=on:sac=on:sp=occurrence_9 on theBenchmark 3.72/3.94 % Refutation found. Thanks to Tanya! 3.72/3.94 % SZS status Theorem for theBenchmark 3.72/3.94 % SZS output start Proof for theBenchmark 3.72/3.94 fof(f802,axiom,( 3.72/3.94 ! [X153] : ((! [X12] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X12),v_G)) => c_Hoare__Mirabelle_Otriple__valid(t_a,X153,X12)) & ! [X12] : (hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X12),v_Procs)) => c_Hoare__Mirabelle_Otriple__valid(t_a,X153,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X12)),hAPP(c_Com_Ocom_OBODY,X12)),v_Q(X12))))) => ! [X12] : (hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X12),v_Procs)) => c_Hoare__Mirabelle_Otriple__valid(t_a,X153,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X12)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X12))),v_Q(X12)))))), 3.72/3.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 3.72/3.94 fof(f1226,axiom,( 3.72/3.94 ! [X12] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X12),v_G)) => c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X12))), 3.72/3.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2)). 3.72/3.94 fof(f2215,axiom,( 3.72/3.94 hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs))), 3.72/3.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)). 3.72/3.94 fof(f3043,axiom,( 3.72/3.94 ! [X41,X167,X7,X22,X2] : (c_Hoare__Mirabelle_Otriple__valid(X2,hAPP(c_Nat_OSuc,X22),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X7),hAPP(c_Com_Ocom_OBODY,X167)),X41)) <=> c_Hoare__Mirabelle_Otriple__valid(X2,X22,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X7),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X167))),X41)))), 3.72/3.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Body__triple__valid__Suc)). 3.72/3.94 fof(f3604,axiom,( 3.72/3.94 ! [X12] : (hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X12),v_Procs)) => c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X12)),hAPP(c_Com_Ocom_OBODY,X12)),v_Q(X12))))), 3.72/3.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3)). 3.72/3.94 fof(f4349,conjecture,( 3.72/3.94 c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x)))), 3.72/3.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4)). 3.72/3.94 fof(f4350,negated_conjecture,( 3.72/3.94 ~c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x)))), 3.72/3.94 inference(negated_conjecture,[],[f4349])). 3.72/3.94 fof(f5211,plain,( 3.72/3.94 ~c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x)))), 3.72/3.94 inference(flattening,[],[f4350])). 3.72/3.94 fof(f5212,plain,( 3.72/3.94 ! [X0] : (hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_Procs)) => c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X0)),hAPP(c_Com_Ocom_OBODY,X0)),v_Q(X0))))), 3.72/3.94 inference(rectify,[],[f3604])). 3.72/3.94 fof(f5213,plain,( 3.72/3.94 ! [X0] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G)) => c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X0))), 3.72/3.94 inference(rectify,[],[f1226])). 3.72/3.94 fof(f5214,plain,( 3.72/3.94 ! [X0] : ((! [X1] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)) & ! [X2] : (hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X2),v_Procs)) => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X2)),hAPP(c_Com_Ocom_OBODY,X2)),v_Q(X2))))) => ! [X3] : (hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X3),v_Procs)) => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X3)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3))),v_Q(X3)))))), 3.72/3.94 inference(rectify,[],[f802])). 3.72/3.94 fof(f9619,plain,( 3.72/3.94 ! [X0,X1,X2,X3,X4] : (c_Hoare__Mirabelle_Otriple__valid(X4,hAPP(c_Nat_OSuc,X3),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),hAPP(c_Com_Ocom_OBODY,X1)),X0)) <=> c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X0)))), 3.72/3.94 inference(rectify,[],[f3043])). 3.72/3.94 fof(f10222,plain,( 3.72/3.94 ! [X0] : (c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X0)),hAPP(c_Com_Ocom_OBODY,X0)),v_Q(X0))) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_Procs)))), 3.72/3.94 inference(ennf_transformation,[],[f5212])). 3.72/3.94 fof(f10223,plain,( 3.72/3.94 ! [X0] : (c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X0) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G)))), 3.72/3.94 inference(ennf_transformation,[],[f5213])). 3.72/3.94 fof(f10224,plain,( 3.72/3.94 ! [X0] : (! [X3] : (c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X3)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3))),v_Q(X3))) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X3),v_Procs))) | (? [X1] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))) | ? [X2] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X2)),hAPP(c_Com_Ocom_OBODY,X2)),v_Q(X2))) & hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X2),v_Procs)))))), 3.72/3.94 inference(ennf_transformation,[],[f5214])). 3.72/3.94 fof(f10225,plain,( 3.72/3.94 ! [X0] : (! [X3] : (c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X3)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3))),v_Q(X3))) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X3),v_Procs))) | ? [X1] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))) | ? [X2] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X2)),hAPP(c_Com_Ocom_OBODY,X2)),v_Q(X2))) & hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X2),v_Procs))))), 3.72/3.94 inference(flattening,[],[f10224])). 3.72/3.94 fof(f14317,plain,( 3.72/3.94 ! [X0] : (! [X1] : (c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1))) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs))) | ? [X2] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))) | ? [X3] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X3)),hAPP(c_Com_Ocom_OBODY,X3)),v_Q(X3))) & hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X3),v_Procs))))), 3.72/3.94 inference(rectify,[],[f10225])). 3.72/3.94 fof(f14318,plain,( 3.72/3.94 ! [X0] : (? [X2] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))) => (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK11(X0)) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK11(X0)),v_G))))), 3.72/3.94 introduced(choice_axiom,[])). 3.72/3.94 fof(f14319,plain,( 3.72/3.94 ! [X0] : (? [X3] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X3)),hAPP(c_Com_Ocom_OBODY,X3)),v_Q(X3))) & hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X3),v_Procs))) => (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(sK12(X0))),hAPP(c_Com_Ocom_OBODY,sK12(X0))),v_Q(sK12(X0)))) & hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK12(X0)),v_Procs))))), 3.72/3.94 introduced(choice_axiom,[])). 3.72/3.94 fof(f14320,plain,( 3.72/3.94 ! [X0] : (! [X1] : (c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1))) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs))) | (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK11(X0)) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK11(X0)),v_G))) | (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(sK12(X0))),hAPP(c_Com_Ocom_OBODY,sK12(X0))),v_Q(sK12(X0)))) & hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK12(X0)),v_Procs))))), 3.72/3.94 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f14317,f14319,f14318])). 3.72/3.94 fof(f16146,plain,( 3.72/3.94 ! [X0,X1,X2,X3,X4] : ((c_Hoare__Mirabelle_Otriple__valid(X4,hAPP(c_Nat_OSuc,X3),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),hAPP(c_Com_Ocom_OBODY,X1)),X0)) | ~c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X0))) & (c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X0)) | ~c_Hoare__Mirabelle_Otriple__valid(X4,hAPP(c_Nat_OSuc,X3),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),hAPP(c_Com_Ocom_OBODY,X1)),X0))))), 3.72/3.94 inference(nnf_transformation,[],[f9619])). 3.72/3.94 fof(f16344,plain,( 3.72/3.94 ~c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x)))), 3.72/3.94 inference(cnf_transformation,[],[f5211])). 3.72/3.94 fof(f16345,plain,( 3.72/3.94 hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs))), 3.72/3.94 inference(cnf_transformation,[],[f2215])). 3.72/3.94 fof(f16346,plain,( 3.72/3.94 ( ! [X0] : (c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X0)),hAPP(c_Com_Ocom_OBODY,X0)),v_Q(X0))) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_Procs))) )), 3.72/3.94 inference(cnf_transformation,[],[f10222])). 3.72/3.94 fof(f16347,plain,( 3.72/3.94 ( ! [X0] : (~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G)) | c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X0)) )), 3.72/3.94 inference(cnf_transformation,[],[f10223])). 3.72/3.94 fof(f16348,plain,( 3.72/3.94 ( ! [X0,X1] : (c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1))) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs)) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK11(X0)),v_G)) | hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK12(X0)),v_Procs))) )), 3.72/3.94 inference(cnf_transformation,[],[f14320])). 3.72/3.94 fof(f16349,plain,( 3.72/3.94 ( ! [X0,X1] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(sK12(X0))),hAPP(c_Com_Ocom_OBODY,sK12(X0))),v_Q(sK12(X0)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs)) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK11(X0)),v_G)) | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1)))) )), 3.72/3.94 inference(cnf_transformation,[],[f14320])). 3.72/3.94 fof(f16350,plain,( 3.72/3.94 ( ! [X0,X1] : (c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1))) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs)) | ~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK11(X0)) | hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK12(X0)),v_Procs))) )), 3.72/3.94 inference(cnf_transformation,[],[f14320])). 3.72/3.94 fof(f16351,plain,( 3.72/3.94 ( ! [X0,X1] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(sK12(X0))),hAPP(c_Com_Ocom_OBODY,sK12(X0))),v_Q(sK12(X0)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs)) | ~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK11(X0)) | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1)))) )), 3.72/3.94 inference(cnf_transformation,[],[f14320])). 3.72/3.94 fof(f22745,plain,( 3.72/3.94 ( ! [X4,X2,X0,X3,X1] : (~c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X0)) | c_Hoare__Mirabelle_Otriple__valid(X4,hAPP(c_Nat_OSuc,X3),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),hAPP(c_Com_Ocom_OBODY,X1)),X0))) )), 3.72/3.94 inference(cnf_transformation,[],[f16146])). 3.72/3.94 fof(f28895,plain,( 3.72/3.94 ( ! [X0] : (~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_Procs)) | ~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK11(v_na)) | c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X0)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X0))),v_Q(X0))) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK12(v_na)),v_Procs))) )), 3.72/3.94 inference(resolution,[],[f16351,f16346])). 3.72/3.94 fof(f28897,plain,( 3.72/3.94 ( ! [X0] : (~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_Procs)) | ~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK11(v_na)) | c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X0)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X0))),v_Q(X0)))) )), 3.72/3.94 inference(subsumption_resolution,[],[f28895,f16350])). 3.72/3.94 fof(f29045,plain,( 3.72/3.94 ( ! [X0] : (~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_Procs)) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK11(v_na)),v_G)) | c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X0)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X0))),v_Q(X0))) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK12(v_na)),v_Procs))) )), 3.72/3.94 inference(resolution,[],[f16349,f16346])). 3.72/3.94 fof(f29047,plain,( 3.72/3.94 ( ! [X0] : (~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_Procs)) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK11(v_na)),v_G)) | c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X0)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X0))),v_Q(X0)))) )), 3.72/3.94 inference(subsumption_resolution,[],[f29045,f16348])). 3.72/3.94 fof(f31394,plain,( 3.72/3.94 spl502_75 <=> ~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK11(v_na))), 3.72/3.94 introduced(avatar_definition,[new_symbols(naming,[spl502_75])])). 3.72/3.94 fof(f31395,plain,( 3.72/3.94 ~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK11(v_na)) | ~spl502_75), 3.72/3.94 inference(avatar_component_clause,[],[f31394])). 3.72/3.94 fof(f31397,plain,( 3.72/3.94 spl502_76 <=> ! [X0] : (~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_Procs)) | c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X0)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X0))),v_Q(X0))))), 3.72/3.94 introduced(avatar_definition,[new_symbols(naming,[spl502_76])])). 3.72/3.94 fof(f31398,plain,( 3.72/3.94 ( ! [X0] : (c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X0)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X0))),v_Q(X0))) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_Procs))) ) | ~spl502_76), 3.72/3.94 inference(avatar_component_clause,[],[f31397])). 3.72/3.95 fof(f31399,plain,( 3.72/3.95 ~spl502_75 | spl502_76), 3.72/3.95 inference(avatar_split_clause,[],[f28897,f31397,f31394])). 3.72/3.95 fof(f32195,plain,( 3.72/3.95 spl502_86 <=> hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK11(v_na)),v_G))), 3.72/3.95 introduced(avatar_definition,[new_symbols(naming,[spl502_86])])). 3.72/3.95 fof(f32196,plain,( 3.72/3.95 hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK11(v_na)),v_G)) | ~spl502_86), 3.72/3.95 inference(avatar_component_clause,[],[f32195])). 3.72/3.95 fof(f32197,plain,( 3.72/3.95 spl502_86 | spl502_76), 3.72/3.95 inference(avatar_split_clause,[],[f29047,f31397,f32195])). 3.72/3.95 fof(f32210,plain,( 3.72/3.95 ( ! [X0] : (c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X0)),hAPP(c_Com_Ocom_OBODY,X0)),v_Q(X0))) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_Procs))) ) | ~spl502_76), 3.72/3.95 inference(resolution,[],[f31398,f22745])). 3.72/3.95 fof(f34168,plain,( 3.72/3.95 c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK11(v_na)) | ~spl502_86), 3.72/3.95 inference(resolution,[],[f32196,f16347])). 3.72/3.95 fof(f34180,plain,( 3.72/3.95 $false | (~spl502_75 | ~spl502_86)), 3.72/3.95 inference(subsumption_resolution,[],[f34168,f31395])). 3.72/3.95 fof(f34181,plain,( 3.72/3.95 spl502_75 | ~spl502_86), 3.72/3.95 inference(avatar_contradiction_clause,[],[f34180])). 3.72/3.95 fof(f35060,plain,( 3.72/3.95 ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs)) | ~spl502_76), 3.72/3.95 inference(resolution,[],[f32210,f16344])). 3.72/3.95 fof(f35065,plain,( 3.72/3.95 $false | ~spl502_76), 3.72/3.95 inference(subsumption_resolution,[],[f35060,f16345])). 3.72/3.95 fof(f35066,plain,( 3.72/3.95 ~spl502_76), 3.72/3.95 inference(avatar_contradiction_clause,[],[f35065])). 3.72/3.95 fof(f35069,plain,( 3.72/3.95 $false), 3.72/3.95 inference(avatar_sat_refutation,[],[f31399,f32197,f34181,f35066])). 3.72/3.95 % SZS output end Proof for theBenchmark 3.72/3.95 % ------------------------------ 3.72/3.95 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.72/3.95 % Termination reason: Refutation 3.72/3.95 3.72/3.95 % Memory used [KB]: 32238 3.72/3.95 % Time elapsed: 0.366 s 3.72/3.95 % ------------------------------ 3.72/3.95 % ------------------------------ 3.72/3.95 % Success in time 3.711 s 3.72/3.95 EOF