0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.03/0.24 % Computer : n134.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 06:00:24 CDT 2018 0.03/0.24 % CPUTime : 0.07/0.56 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.07/0.56 % remaining time: 5996 next slice time: 4 0.40/0.59 dis+1002_2_add=off:afr=on:afp=10000:afq=2.0:amm=off:anc=none:cond=on:er=filter:fsr=off:nm=0:nwc=1.3:sp=occurrence_2 on theBenchmark 0.41/1.09 % (55757)Time limit reached! 0.41/1.09 % ------------------------------ 0.41/1.09 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.41/1.09 % Termination reason: Time limit 0.41/1.09 % Termination phase: Saturation 0.41/1.09 0.41/1.09 % Memory used [KB]: 31726 0.41/1.09 % Time elapsed: 0.500 s 0.41/1.09 % ------------------------------ 0.41/1.09 % ------------------------------ 0.41/1.09 % remaining time: 5991 next slice time: 4 0.90/1.09 lrs+10_1_av=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=5.0:sos=on:sp=reverse_arity_2 on theBenchmark 1.12/1.35 % Refutation found. Thanks to Tanya! 1.12/1.35 % SZS status Theorem for theBenchmark 1.12/1.35 % SZS output start Proof for theBenchmark 1.12/1.35 fof(f549,axiom,( 1.12/1.35 hBOOL(hAPP(v_ba,v_s0))), 1.12/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)). 1.12/1.35 fof(f657,conjecture,( 1.12/1.35 (v_ba = v_b & v_ca = v_c) => (! [X32] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X32),v_G)) => c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X32)) => ! [X38] : (v_P(X38,v_s0) => (v_P(X38,v_s2) & ~hBOOL(hAPP(v_b,v_s2)))))), 1.12/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6)). 1.12/1.35 fof(f658,negated_conjecture,( 1.12/1.35 ~((v_ba = v_b & v_ca = v_c) => (! [X32] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X32),v_G)) => c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X32)) => ! [X38] : (v_P(X38,v_s0) => (v_P(X38,v_s2) & ~hBOOL(hAPP(v_b,v_s2))))))), 1.12/1.35 inference(negated_conjecture,[],[f657])). 1.12/1.35 fof(f1509,axiom,( 1.12/1.35 c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1)), 1.12/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2)). 1.12/1.35 fof(f4106,axiom,( 1.12/1.35 c_Com_Ocom_OWhile(v_ba,v_ca) = c_Com_Ocom_OWhile(v_b,v_c) => (! [X32] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X32),v_G)) => c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X32)) => ! [X38] : (v_P(X38,v_s1) => (v_P(X38,v_s2) & ~hBOOL(hAPP(v_b,v_s2)))))), 1.12/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5)). 1.12/1.35 fof(f4740,axiom,( 1.12/1.35 ! [X118] : (! [X32] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X32),v_G)) => c_Hoare__Mirabelle_Otriple__valid(t_a,X118,X32)) => ! [X38,X39] : ((hBOOL(hAPP(v_b,X39)) & v_P(X38,X39)) => ! [X257] : (c_Natural_Oevaln(v_c,X39,X118,X257) => v_P(X38,X257))))), 1.12/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 1.12/1.35 fof(f5213,plain,( 1.12/1.35 ~((v_ba = v_b & v_ca = v_c) => (! [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)) => ! [X1] : (v_P(X1,v_s0) => (v_P(X1,v_s2) & ~hBOOL(hAPP(v_b,v_s2))))))), 1.12/1.35 inference(rectify,[],[f658])). 1.12/1.35 fof(f5215,plain,( 1.12/1.35 c_Com_Ocom_OWhile(v_ba,v_ca) = c_Com_Ocom_OWhile(v_b,v_c) => (! [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)) => ! [X1] : (v_P(X1,v_s1) => (v_P(X1,v_s2) & ~hBOOL(hAPP(v_b,v_s2)))))), 1.12/1.35 inference(rectify,[],[f4106])). 1.12/1.35 fof(f5216,plain,( 1.12/1.35 ! [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,X3] : ((hBOOL(hAPP(v_b,X3)) & v_P(X2,X3)) => ! [X4] : (c_Natural_Oevaln(v_c,X3,X0,X4) => v_P(X2,X4))))), 1.12/1.35 inference(rectify,[],[f4740])). 1.12/1.35 fof(f6856,plain,( 1.12/1.35 (? [X1] : ((~v_P(X1,v_s2) | hBOOL(hAPP(v_b,v_s2))) & v_P(X1,v_s0)) & ! [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)))) & (v_ba = v_b & v_ca = v_c)), 1.12/1.35 inference(ennf_transformation,[],[f5213])). 1.12/1.35 fof(f6857,plain,( 1.12/1.35 ? [X1] : ((~v_P(X1,v_s2) | hBOOL(hAPP(v_b,v_s2))) & v_P(X1,v_s0)) & ! [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))) & v_ba = v_b & v_ca = v_c), 1.12/1.35 inference(flattening,[],[f6856])). 1.12/1.35 fof(f6860,plain,( 1.12/1.35 (! [X1] : ((v_P(X1,v_s2) & ~hBOOL(hAPP(v_b,v_s2))) | ~v_P(X1,v_s1)) | ? [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)))) | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)), 1.12/1.35 inference(ennf_transformation,[],[f5215])). 1.12/1.35 fof(f6861,plain,( 1.12/1.35 ! [X1] : ((v_P(X1,v_s2) & ~hBOOL(hAPP(v_b,v_s2))) | ~v_P(X1,v_s1)) | ? [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))) | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)), 1.12/1.35 inference(flattening,[],[f6860])). 1.12/1.35 fof(f6862,plain,( 1.12/1.35 ! [X0] : (! [X2,X3] : (! [X4] : (v_P(X2,X4) | ~c_Natural_Oevaln(v_c,X3,X0,X4)) | (~hBOOL(hAPP(v_b,X3)) | ~v_P(X2,X3))) | ? [X1] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))))), 1.12/1.35 inference(ennf_transformation,[],[f5216])). 1.12/1.35 fof(f6863,plain,( 1.12/1.35 ! [X0] : (! [X2,X3] : (! [X4] : (v_P(X2,X4) | ~c_Natural_Oevaln(v_c,X3,X0,X4)) | ~hBOOL(hAPP(v_b,X3)) | ~v_P(X2,X3)) | ? [X1] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))))), 1.12/1.35 inference(flattening,[],[f6862])). 1.12/1.35 fof(f7816,plain,( 1.12/1.35 ? [X0] : ((~v_P(X0,v_s2) | hBOOL(hAPP(v_b,v_s2))) & v_P(X0,v_s0)) & ! [X1] : (c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X1) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))) & v_ba = v_b & v_ca = v_c), 1.12/1.35 inference(rectify,[],[f6857])). 1.12/1.35 fof(f7817,plain,( 1.12/1.35 ? [X0] : ((~v_P(X0,v_s2) | hBOOL(hAPP(v_b,v_s2))) & v_P(X0,v_s0)) => ((~v_P(sK15,v_s2) | hBOOL(hAPP(v_b,v_s2))) & v_P(sK15,v_s0))), 1.12/1.35 introduced(choice_axiom,[])). 1.12/1.35 fof(f7818,plain,( 1.12/1.35 ((~v_P(sK15,v_s2) | hBOOL(hAPP(v_b,v_s2))) & v_P(sK15,v_s0)) & ! [X1] : (c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X1) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))) & v_ba = v_b & v_ca = v_c), 1.12/1.35 inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f7816,f7817])). 1.12/1.35 fof(f7822,plain,( 1.12/1.35 ! [X0] : ((v_P(X0,v_s2) & ~hBOOL(hAPP(v_b,v_s2))) | ~v_P(X0,v_s1)) | ? [X1] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X1) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))) | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)), 1.12/1.35 inference(rectify,[],[f6861])). 1.12/1.35 fof(f7823,plain,( 1.12/1.35 ? [X1] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X1) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))) => (~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK17) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK17),v_G)))), 1.12/1.35 introduced(choice_axiom,[])). 1.12/1.35 fof(f7824,plain,( 1.12/1.35 ! [X0] : ((v_P(X0,v_s2) & ~hBOOL(hAPP(v_b,v_s2))) | ~v_P(X0,v_s1)) | (~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK17) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK17),v_G))) | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)), 1.12/1.35 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f7822,f7823])). 1.12/1.35 fof(f7825,plain,( 1.12/1.35 ! [X0] : (! [X1,X2] : (! [X3] : (v_P(X1,X3) | ~c_Natural_Oevaln(v_c,X2,X0,X3)) | ~hBOOL(hAPP(v_b,X2)) | ~v_P(X1,X2)) | ? [X4] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X4) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X4),v_G))))), 1.12/1.35 inference(rectify,[],[f6863])). 1.12/1.35 fof(f7826,plain,( 1.12/1.35 ! [X0] : (? [X4] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X4) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X4),v_G))) => (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK18(X0)) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK18(X0)),v_G))))), 1.12/1.35 introduced(choice_axiom,[])). 1.12/1.35 fof(f7827,plain,( 1.12/1.35 ! [X0] : (! [X1,X2] : (! [X3] : (v_P(X1,X3) | ~c_Natural_Oevaln(v_c,X2,X0,X3)) | ~hBOOL(hAPP(v_b,X2)) | ~v_P(X1,X2)) | (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK18(X0)) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK18(X0)),v_G))))), 1.12/1.35 inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f7825,f7826])). 1.12/1.35 fof(f8577,plain,( 1.12/1.35 v_ca = v_c), 1.12/1.35 inference(cnf_transformation,[],[f7818])). 1.12/1.35 fof(f8578,plain,( 1.12/1.35 v_ba = v_b), 1.12/1.35 inference(cnf_transformation,[],[f7818])). 1.12/1.35 fof(f8579,plain,( 1.12/1.35 ( ! [X1] : (~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) | c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X1)) )), 1.12/1.35 inference(cnf_transformation,[],[f7818])). 1.12/1.35 fof(f8580,plain,( 1.12/1.35 v_P(sK15,v_s0)), 1.12/1.35 inference(cnf_transformation,[],[f7818])). 1.12/1.35 fof(f8581,plain,( 1.12/1.35 ~v_P(sK15,v_s2) | hBOOL(hAPP(v_b,v_s2))), 1.12/1.35 inference(cnf_transformation,[],[f7818])). 1.12/1.35 fof(f8582,plain,( 1.12/1.35 hBOOL(hAPP(v_ba,v_s0))), 1.12/1.35 inference(cnf_transformation,[],[f549])). 1.12/1.35 fof(f8583,plain,( 1.12/1.35 c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1)), 1.12/1.35 inference(cnf_transformation,[],[f1509])). 1.12/1.35 fof(f8589,plain,( 1.12/1.35 ( ! [X0] : (~hBOOL(hAPP(v_b,v_s2)) | ~v_P(X0,v_s1) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK17),v_G)) | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)) )), 1.12/1.35 inference(cnf_transformation,[],[f7824])). 1.12/1.35 fof(f8590,plain,( 1.12/1.35 ( ! [X0] : (~hBOOL(hAPP(v_b,v_s2)) | ~v_P(X0,v_s1) | ~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK17) | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)) )), 1.12/1.35 inference(cnf_transformation,[],[f7824])). 1.12/1.35 fof(f8591,plain,( 1.12/1.35 ( ! [X0] : (v_P(X0,v_s2) | ~v_P(X0,v_s1) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK17),v_G)) | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)) )), 1.12/1.35 inference(cnf_transformation,[],[f7824])). 1.12/1.35 fof(f8592,plain,( 1.12/1.35 ( ! [X0] : (v_P(X0,v_s2) | ~v_P(X0,v_s1) | ~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK17) | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)) )), 1.12/1.35 inference(cnf_transformation,[],[f7824])). 1.12/1.35 fof(f8593,plain,( 1.12/1.35 ( ! [X2,X0,X3,X1] : (v_P(X1,X3) | ~c_Natural_Oevaln(v_c,X2,X0,X3) | ~hBOOL(hAPP(v_b,X2)) | ~v_P(X1,X2) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK18(X0)),v_G))) )), 1.12/1.35 inference(cnf_transformation,[],[f7827])). 1.12/1.35 fof(f8594,plain,( 1.12/1.35 ( ! [X2,X0,X3,X1] : (v_P(X1,X3) | ~c_Natural_Oevaln(v_c,X2,X0,X3) | ~hBOOL(hAPP(v_b,X2)) | ~v_P(X1,X2) | ~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK18(X0))) )), 1.12/1.35 inference(cnf_transformation,[],[f7827])). 1.12/1.35 fof(f11058,plain,( 1.12/1.35 hBOOL(hAPP(v_ba,v_s2)) | ~v_P(sK15,v_s2)), 1.12/1.35 inference(forward_demodulation,[],[f8581,f8578])). 1.12/1.35 fof(f11069,plain,( 1.12/1.35 ( ! [X0] : (c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_ca) | v_P(X0,v_s2) | ~v_P(X0,v_s1) | ~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK17)) )), 1.12/1.35 inference(forward_demodulation,[],[f8592,f8577])). 1.12/1.35 fof(f11070,plain,( 1.12/1.35 ( ! [X0] : (c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_ba,v_ca) | v_P(X0,v_s2) | ~v_P(X0,v_s1) | ~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK17)) )), 1.12/1.35 inference(forward_demodulation,[],[f11069,f8578])). 1.12/1.35 fof(f11071,plain,( 1.12/1.35 ( ! [X0] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK17) | ~v_P(X0,v_s1) | v_P(X0,v_s2)) )), 1.12/1.35 inference(trivial_inequality_removal,[],[f11070])). 1.12/1.35 fof(f11072,plain,( 1.12/1.35 ( ! [X0] : (c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_ca) | v_P(X0,v_s2) | ~v_P(X0,v_s1) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK17),v_G))) )), 1.12/1.35 inference(forward_demodulation,[],[f8591,f8577])). 1.12/1.35 fof(f11073,plain,( 1.12/1.35 ( ! [X0] : (c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_ba,v_ca) | v_P(X0,v_s2) | ~v_P(X0,v_s1) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK17),v_G))) )), 1.12/1.35 inference(forward_demodulation,[],[f11072,f8578])). 1.12/1.35 fof(f11074,plain,( 1.12/1.35 ( ! [X0] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK17),v_G)) | ~v_P(X0,v_s1) | v_P(X0,v_s2)) )), 1.12/1.35 inference(trivial_inequality_removal,[],[f11073])). 1.12/1.35 fof(f11075,plain,( 1.12/1.35 ( ! [X0] : (~hBOOL(hAPP(v_ba,v_s2)) | ~v_P(X0,v_s1) | ~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK17) | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)) )), 1.12/1.35 inference(forward_demodulation,[],[f8590,f8578])). 1.12/1.35 fof(f11076,plain,( 1.12/1.35 ( ! [X0] : (c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_ca) | ~hBOOL(hAPP(v_ba,v_s2)) | ~v_P(X0,v_s1) | ~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK17)) )), 1.12/1.35 inference(forward_demodulation,[],[f11075,f8577])). 1.12/1.35 fof(f11077,plain,( 1.12/1.35 ( ! [X0] : (c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_ba,v_ca) | ~hBOOL(hAPP(v_ba,v_s2)) | ~v_P(X0,v_s1) | ~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK17)) )), 1.12/1.35 inference(forward_demodulation,[],[f11076,f8578])). 1.12/1.35 fof(f11078,plain,( 1.12/1.35 ( ! [X0] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK17) | ~v_P(X0,v_s1) | ~hBOOL(hAPP(v_ba,v_s2))) )), 1.12/1.35 inference(trivial_inequality_removal,[],[f11077])). 1.12/1.35 fof(f11079,plain,( 1.12/1.35 ( ! [X0] : (~hBOOL(hAPP(v_ba,v_s2)) | ~v_P(X0,v_s1) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK17),v_G)) | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)) )), 1.12/1.35 inference(forward_demodulation,[],[f8589,f8578])). 1.12/1.35 fof(f11080,plain,( 1.12/1.35 ( ! [X0] : (c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_ca) | ~hBOOL(hAPP(v_ba,v_s2)) | ~v_P(X0,v_s1) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK17),v_G))) )), 1.12/1.35 inference(forward_demodulation,[],[f11079,f8577])). 1.12/1.35 fof(f11081,plain,( 1.12/1.35 ( ! [X0] : (c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_ba,v_ca) | ~hBOOL(hAPP(v_ba,v_s2)) | ~v_P(X0,v_s1) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK17),v_G))) )), 1.12/1.35 inference(forward_demodulation,[],[f11080,f8578])). 1.12/1.35 fof(f11082,plain,( 1.12/1.35 ( ! [X0] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK17),v_G)) | ~v_P(X0,v_s1) | ~hBOOL(hAPP(v_ba,v_s2))) )), 1.12/1.35 inference(trivial_inequality_removal,[],[f11081])). 1.12/1.35 fof(f11083,plain,( 1.12/1.35 ( ! [X2,X0,X3,X1] : (~c_Natural_Oevaln(v_ca,X2,X0,X3) | v_P(X1,X3) | ~hBOOL(hAPP(v_b,X2)) | ~v_P(X1,X2) | ~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK18(X0))) )), 1.12/1.35 inference(forward_demodulation,[],[f8594,f8577])). 1.12/1.35 fof(f11084,plain,( 1.12/1.35 ( ! [X2,X0,X3,X1] : (~c_Natural_Oevaln(v_ca,X2,X0,X3) | ~hBOOL(hAPP(v_ba,X2)) | v_P(X1,X3) | ~v_P(X1,X2) | ~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK18(X0))) )), 1.12/1.35 inference(forward_demodulation,[],[f11083,f8578])). 1.12/1.35 fof(f11085,plain,( 1.12/1.35 ( ! [X2,X0,X3,X1] : (~c_Natural_Oevaln(v_ca,X2,X0,X3) | v_P(X1,X3) | ~hBOOL(hAPP(v_b,X2)) | ~v_P(X1,X2) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK18(X0)),v_G))) )), 1.12/1.35 inference(forward_demodulation,[],[f8593,f8577])). 1.12/1.35 fof(f11086,plain,( 1.12/1.35 ( ! [X2,X0,X3,X1] : (~c_Natural_Oevaln(v_ca,X2,X0,X3) | ~hBOOL(hAPP(v_ba,X2)) | v_P(X1,X3) | ~v_P(X1,X2) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK18(X0)),v_G))) )), 1.12/1.35 inference(forward_demodulation,[],[f11085,f8578])). 1.12/1.35 fof(f11238,plain,( 1.12/1.35 ( ! [X0] : (~v_P(X0,v_s1) | v_P(X0,v_s2) | c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK17)) )), 1.12/1.35 inference(resolution,[],[f11074,f8579])). 1.12/1.35 fof(f11275,plain,( 1.12/1.35 ( ! [X0] : (~v_P(X0,v_s1) | v_P(X0,v_s2)) )), 1.12/1.35 inference(subsumption_resolution,[],[f11238,f11071])). 1.12/1.35 fof(f11280,plain,( 1.12/1.35 ( ! [X0] : (~v_P(X0,v_s1) | ~hBOOL(hAPP(v_ba,v_s2)) | c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK17)) )), 1.12/1.35 inference(resolution,[],[f11082,f8579])). 1.12/1.35 fof(f11317,plain,( 1.12/1.35 ( ! [X0] : (~hBOOL(hAPP(v_ba,v_s2)) | ~v_P(X0,v_s1)) )), 1.12/1.35 inference(subsumption_resolution,[],[f11280,f11078])). 1.12/1.35 fof(f11318,plain,( 1.12/1.35 ( ! [X0] : (~v_P(sK15,v_s2) | ~v_P(X0,v_s1)) )), 1.12/1.35 inference(resolution,[],[f11317,f11058])). 1.12/1.35 fof(f11331,plain,( 1.12/1.35 ( ! [X0] : (~hBOOL(hAPP(v_ba,v_s0)) | v_P(X0,v_s1) | ~v_P(X0,v_s0) | ~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK18(v_na))) )), 1.12/1.35 inference(resolution,[],[f11084,f8583])). 1.12/1.35 fof(f11339,plain,( 1.12/1.35 ( ! [X0] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK18(v_na)) | ~v_P(X0,v_s0) | v_P(X0,v_s1)) )), 1.12/1.35 inference(subsumption_resolution,[],[f11331,f8582])). 1.12/1.35 fof(f11344,plain,( 1.12/1.35 ( ! [X0] : (~hBOOL(hAPP(v_ba,v_s0)) | v_P(X0,v_s1) | ~v_P(X0,v_s0) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK18(v_na)),v_G))) )), 1.12/1.35 inference(resolution,[],[f11086,f8583])). 1.12/1.35 fof(f11352,plain,( 1.12/1.35 ( ! [X0] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK18(v_na)),v_G)) | ~v_P(X0,v_s0) | v_P(X0,v_s1)) )), 1.12/1.35 inference(subsumption_resolution,[],[f11344,f8582])). 1.12/1.35 fof(f13396,plain,( 1.12/1.35 ( ! [X0] : (~v_P(X0,v_s0) | v_P(X0,v_s1) | c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,sK18(v_na))) )), 1.12/1.35 inference(resolution,[],[f11352,f8579])). 1.12/1.35 fof(f13433,plain,( 1.12/1.35 ( ! [X0] : (~v_P(X0,v_s0) | v_P(X0,v_s1)) )), 1.12/1.35 inference(subsumption_resolution,[],[f13396,f11339])). 1.12/1.35 fof(f13434,plain,( 1.12/1.35 v_P(sK15,v_s1)), 1.12/1.35 inference(resolution,[],[f13433,f8580])). 1.12/1.35 fof(f13442,plain,( 1.12/1.35 v_P(sK15,v_s2)), 1.12/1.35 inference(resolution,[],[f13434,f11275])). 1.12/1.35 fof(f13447,plain,( 1.12/1.35 ( ! [X0] : (~v_P(X0,v_s1)) )), 1.12/1.35 inference(resolution,[],[f13442,f11318])). 1.12/1.35 fof(f13462,plain,( 1.12/1.35 $false), 1.12/1.35 inference(resolution,[],[f13447,f13434])). 1.12/1.35 % SZS output end Proof for theBenchmark 1.12/1.35 % ------------------------------ 1.12/1.35 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.12/1.35 % Termination reason: Refutation 1.12/1.35 1.12/1.35 % Memory used [KB]: 16502 1.12/1.35 % Time elapsed: 0.258 s 1.12/1.35 % ------------------------------ 1.12/1.35 % ------------------------------ 1.12/1.35 % Success in time 1.112 s 1.12/1.36 EOF