0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.12/0.34 % Computer : n018.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 04:20:00 EDT 2022 0.12/0.34 % CPUTime : 0.12/0.36 This is a FOF_ problem 0.12/0.36 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox/benchmark/theBenchmark.p 0.12/0.36 % (22314)Running in auto input_syntax mode. Trying TPTP 0.60/0.80 % (22321)dis+10_3_add=off:afp=40000:afq=1.0:amm=sco:anc=none:er=filter:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1.3:sp=reverse_arity:updr=off_2 on theBenchmark 0.60/0.82 % (22319)dis+1002_8:1_av=off:br=off:cond=on:irw=on:lma=on:nm=32:nwc=1:sp=occurrence:urr=on_89 on theBenchmark 0.60/0.82 % (22318)dis+11_2:1_add=large:afp=1000:afq=1.2:amm=sco:anc=none:cond=on:gs=on:gsem=off:nm=16:newcnf=on:nwc=1:sas=z3:sd=1:ss=axioms:st=1.2:sos=on:sp=reverse_arity:updr=off_5 on theBenchmark 0.60/0.82 % (22320)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 0.60/0.83 % (22316)dis+11_3_av=off:fsr=off:lcm=predicate:lma=on:nm=4:nwc=1:sd=3:ss=axioms:st=1.2:sos=on:updr=off_4 on theBenchmark 0.60/0.84 % (22315)dis+10_16_awrs=decay:awrsf=256:afr=on:afp=40000:afq=2.0:amm=off:bsr=on:cond=on:er=known:gsp=on:irw=on:lma=on:nm=6:newcnf=on:nwc=3:sas=z3:sd=4:ss=axioms:s2a=on:sp=frequency:updr=off_8 on theBenchmark 0.60/0.84 % (22322)lrs+1_8:1_av=off:cond=fast:fde=unused:lcm=predicate:nm=16:nwc=10:stl=60:sp=occurrence:urr=ec_only_3 on theBenchmark 0.60/0.84 % (22317)dis+1_5:1_aac=none:afr=on:afp=100000:afq=1.4:amm=sco:anc=none:br=off:gsp=on:gs=on:gsem=on:lcm=reverse:nm=6:nwc=1:nicw=on:sas=z3:sos=on:urr=on_1 on theBenchmark 0.60/0.94 % (22318)First to succeed. 0.60/0.95 % (22318)Refutation found. Thanks to Tanya! 0.60/0.95 % SZS status Theorem for theBenchmark 0.60/0.95 % SZS output start Proof for theBenchmark 0.60/0.95 fof(f5901,plain,( 0.60/0.95 $false), 0.60/0.95 inference(avatar_smt_refutation,[],[f5716,f5721,f5726,f5731,f5736,f5742,f5749,f5774,f5779,f5796,f5818,f5823,f5828,f5837,f5838,f5862,f5885,f5890,f5900])). 0.60/0.95 fof(f5900,plain,( 0.60/0.95 spl23_1 | ~spl23_2 | ~spl23_4), 0.60/0.95 inference(avatar_contradiction_clause,[],[f5899])). 0.60/0.95 fof(f5899,plain,( 0.60/0.95 $false | (spl23_1 | ~spl23_2 | ~spl23_4)), 0.60/0.95 inference(equality_resolution,[],[f5856])). 0.60/0.95 fof(f5856,plain,( 0.60/0.95 ( ! [X0] : (hAPP(c_Com_Obody,v_pn) != hAPP(c_Com_Obody,X0)) ) | (spl23_1 | ~spl23_2 | ~spl23_4)), 0.60/0.95 inference(subsumption_resolution,[],[f5855,f5715])). 0.60/0.95 fof(f5715,plain,( 0.60/0.95 ~hBOOL(hAPP(c_Com_OWT,v_y)) | spl23_1), 0.60/0.95 inference(avatar_component_clause,[],[f5713])). 0.60/0.95 fof(f5713,plain,( 0.60/0.95 spl23_1 <=> hBOOL(hAPP(c_Com_OWT,v_y))), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_1])])). 0.60/0.95 fof(f5855,plain,( 0.60/0.95 ( ! [X0] : (hAPP(c_Com_Obody,v_pn) != hAPP(c_Com_Obody,X0) | hBOOL(hAPP(c_Com_OWT,v_y))) ) | (~spl23_2 | ~spl23_4)), 0.60/0.95 inference(superposition,[],[f5750,f5730])). 0.60/0.95 fof(f5730,plain,( 0.60/0.95 hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) | ~spl23_4), 0.60/0.95 inference(avatar_component_clause,[],[f5728])). 0.60/0.95 fof(f5728,plain,( 0.60/0.95 spl23_4 <=> hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_4])])). 0.60/0.95 fof(f5750,plain,( 0.60/0.95 ( ! [X0,X1] : (hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) != hAPP(c_Com_Obody,X0) | hBOOL(hAPP(c_Com_OWT,X1))) ) | ~spl23_2), 0.60/0.95 inference(resolution,[],[f5720,f5512])). 0.60/0.95 fof(f5512,plain,( 0.60/0.95 ( ! [X0,X1] : (~c_Com_OWT__bodies | hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0) | hBOOL(hAPP(c_Com_OWT,X0))) )), 0.60/0.95 inference(cnf_transformation,[],[f5383])). 0.60/0.95 fof(f5383,plain,( 0.60/0.95 ! [X0,X1] : (hBOOL(hAPP(c_Com_OWT,X0)) | hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0) | ~c_Com_OWT__bodies)), 0.60/0.95 inference(flattening,[],[f5382])). 0.60/0.95 fof(f5382,plain,( 0.60/0.95 ! [X0,X1] : ((hBOOL(hAPP(c_Com_OWT,X0)) | hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)) | ~c_Com_OWT__bodies)), 0.60/0.95 inference(ennf_transformation,[],[f5263])). 0.60/0.95 fof(f5263,plain,( 0.60/0.95 ! [X0,X1] : (c_Com_OWT__bodies => (hAPP(c_Com_Obody,X1) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0) => hBOOL(hAPP(c_Com_OWT,X0))))), 0.60/0.95 inference(rectify,[],[f1123])). 0.60/0.95 fof(f1123,axiom,( 0.60/0.95 ! [X38,X157] : (c_Com_OWT__bodies => (hAPP(c_Com_Obody,X157) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X38) => hBOOL(hAPP(c_Com_OWT,X38))))), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_WT__bodiesD)). 0.60/0.95 fof(f5720,plain,( 0.60/0.95 c_Com_OWT__bodies | ~spl23_2), 0.60/0.95 inference(avatar_component_clause,[],[f5718])). 0.60/0.95 fof(f5718,plain,( 0.60/0.95 spl23_2 <=> c_Com_OWT__bodies), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_2])])). 0.60/0.95 fof(f5890,plain,( 0.60/0.95 spl23_18 | ~spl23_16), 0.60/0.95 inference(avatar_split_clause,[],[f5874,f5859,f5887])). 0.60/0.95 fof(f5887,plain,( 0.60/0.95 spl23_18 <=> hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),sK0(v_pn))), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_18])])). 0.60/0.95 fof(f5859,plain,( 0.60/0.95 spl23_16 <=> hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,v_pn)))), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_16])])). 0.60/0.95 fof(f5874,plain,( 0.60/0.95 hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),sK0(v_pn)) | ~spl23_16), 0.60/0.95 inference(resolution,[],[f5861,f5507])). 0.60/0.95 fof(f5507,plain,( 0.60/0.95 ( ! [X0] : (~hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0))) | hAPP(c_Com_Obody,X0) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),sK0(X0))) )), 0.60/0.95 inference(cnf_transformation,[],[f5260])). 0.60/0.95 fof(f5260,plain,( 0.60/0.95 ! [X0] : (hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0))) <=> ? [X1] : hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) = hAPP(c_Com_Obody,X0))), 0.60/0.95 inference(rectify,[],[f2247])). 0.60/0.95 fof(f2247,axiom,( 0.60/0.95 ! [X24] : (hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X24))) <=> ? [X126] : hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X126) = hAPP(c_Com_Obody,X24))), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_WT_Oequations_I7_J)). 0.60/0.95 fof(f5861,plain,( 0.60/0.95 hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,v_pn))) | ~spl23_16), 0.60/0.95 inference(avatar_component_clause,[],[f5859])). 0.60/0.95 fof(f5885,plain,( 0.60/0.95 spl23_17 | ~spl23_16), 0.60/0.95 inference(avatar_split_clause,[],[f5873,f5859,f5882])). 0.60/0.95 fof(f5882,plain,( 0.60/0.95 spl23_17 <=> hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),sK1(v_pn))), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_17])])). 0.60/0.95 fof(f5873,plain,( 0.60/0.95 hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),sK1(v_pn)) | ~spl23_16), 0.60/0.95 inference(resolution,[],[f5861,f5508])). 0.60/0.95 fof(f5508,plain,( 0.60/0.95 ( ! [X0] : (~hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0))) | hAPP(c_Com_Obody,X0) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),sK1(X0))) )), 0.60/0.95 inference(cnf_transformation,[],[f5380])). 0.60/0.95 fof(f5380,plain,( 0.60/0.95 ! [X0] : (? [X1] : hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) = hAPP(c_Com_Obody,X0) | ~hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0))))), 0.60/0.95 inference(ennf_transformation,[],[f5261])). 0.60/0.95 fof(f5261,plain,( 0.60/0.95 ! [X0] : (hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0))) => ~! [X1] : hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) != hAPP(c_Com_Obody,X0))), 0.60/0.95 inference(rectify,[],[f2773])). 0.60/0.95 fof(f2773,axiom,( 0.60/0.95 ! [X213] : (hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X213))) => ~! [X126] : hAPP(c_Com_Obody,X213) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X126))), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_WTs__elim__cases_I7_J)). 0.60/0.95 fof(f5862,plain,( 0.60/0.95 spl23_16 | ~spl23_4), 0.60/0.95 inference(avatar_split_clause,[],[f5857,f5728,f5859])). 0.60/0.95 fof(f5857,plain,( 0.60/0.95 hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,v_pn))) | ~spl23_4), 0.60/0.95 inference(equality_resolution,[],[f5761])). 0.60/0.95 fof(f5761,plain,( 0.60/0.95 ( ! [X0] : (hAPP(c_Com_Obody,v_pn) != hAPP(c_Com_Obody,X0) | hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0)))) ) | ~spl23_4), 0.60/0.95 inference(superposition,[],[f5506,f5730])). 0.60/0.95 fof(f5506,plain,( 0.60/0.95 ( ! [X0,X1] : (hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) != hAPP(c_Com_Obody,X0) | hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0)))) )), 0.60/0.95 inference(cnf_transformation,[],[f5260])). 0.60/0.95 fof(f5838,plain,( 0.60/0.95 spl23_14 | ~spl23_15 | ~spl23_7), 0.60/0.95 inference(avatar_split_clause,[],[f5812,f5746,f5834,f5830])). 0.60/0.95 fof(f5830,plain,( 0.60/0.95 spl23_14 <=> v_F = hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))))), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_14])])). 0.60/0.95 fof(f5834,plain,( 0.60/0.95 spl23_15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))))),v_F))), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_15])])). 0.60/0.95 fof(f5746,plain,( 0.60/0.95 spl23_7 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_F),hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))))))), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_7])])). 0.60/0.95 fof(f5812,plain,( 0.60/0.95 ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))))),v_F)) | v_F = hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom))))))) | ~spl23_7), 0.60/0.95 inference(resolution,[],[f5748,f5648])). 0.60/0.95 fof(f5648,plain,( 0.60/0.95 ( ! [X2,X0,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X0),X1)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),X0)) | X0 = X1) )), 0.60/0.95 inference(cnf_transformation,[],[f5474])). 0.60/0.95 fof(f5474,plain,( 0.60/0.95 ! [X0,X1,X2] : (X0 = X1 | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X0),X1)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),X0)))), 0.60/0.95 inference(flattening,[],[f5473])). 0.60/0.95 fof(f5473,plain,( 0.60/0.95 ! [X0,X1,X2] : ((X0 = X1 | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X0),X1))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),X0)))), 0.60/0.95 inference(ennf_transformation,[],[f5360])). 0.60/0.95 fof(f5360,plain,( 0.60/0.95 ! [X0,X1,X2] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),X0)) => (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X0),X1)) => X0 = X1))), 0.60/0.95 inference(rectify,[],[f1057])). 0.60/0.95 fof(f1057,axiom,( 0.60/0.95 ! [X22,X0,X1] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X0),X22)) => (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X22),X0)) => X0 = X22))), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_equalityI)). 0.60/0.95 fof(f5748,plain,( 0.60/0.95 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_F),hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom))))))))) | ~spl23_7), 0.60/0.95 inference(avatar_component_clause,[],[f5746])). 0.60/0.95 fof(f5837,plain,( 0.60/0.95 spl23_14 | ~spl23_15 | ~spl23_7), 0.60/0.95 inference(avatar_split_clause,[],[f5811,f5746,f5834,f5830])). 0.60/0.95 fof(f5811,plain,( 0.60/0.95 ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))))),v_F)) | v_F = hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom))))))) | ~spl23_7), 0.60/0.95 inference(resolution,[],[f5748,f5647])). 0.60/0.95 fof(f5647,plain,( 0.60/0.95 ( ! [X2,X0,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),X2),X1)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),X1),X2)) | X1 = X2) )), 0.60/0.95 inference(cnf_transformation,[],[f5359])). 0.60/0.95 fof(f5359,plain,( 0.60/0.95 ! [X0,X1,X2] : (X1 = X2 <=> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),X2),X1)) & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),X1),X2))))), 0.60/0.95 inference(rectify,[],[f4989])). 0.60/0.95 fof(f4989,axiom,( 0.60/0.95 ! [X1,X22,X0] : (X0 = X22 <=> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X0),X22)) & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X22),X0))))), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_set__eq__subset)). 0.60/0.95 fof(f5828,plain,( 0.60/0.95 spl23_13 | ~spl23_7), 0.60/0.95 inference(avatar_split_clause,[],[f5800,f5746,f5825])). 0.60/0.95 fof(f5825,plain,( 0.60/0.95 spl23_13 <=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom))))))),v_F)), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_13])])). 0.60/0.95 fof(f5800,plain,( 0.60/0.95 c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom))))))),v_F) | ~spl23_7), 0.60/0.95 inference(resolution,[],[f5748,f5577])). 0.60/0.95 fof(f5577,plain,( 0.60/0.95 ( ! [X2,X0,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)) | c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1)) )), 0.60/0.95 inference(cnf_transformation,[],[f5435])). 0.60/0.95 fof(f5435,plain,( 0.60/0.95 ! [X0,X1,X2] : (c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)))), 0.60/0.95 inference(ennf_transformation,[],[f5308])). 0.60/0.95 fof(f5308,plain,( 0.60/0.95 ! [X0,X1,X2] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)) => c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1))), 0.60/0.95 inference(rectify,[],[f2089])). 0.60/0.95 fof(f2089,axiom,( 0.60/0.95 ! [X80,X81,X1] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X81),X80)) => c_Hoare__Mirabelle_Ohoare__derivs(X1,X80,X81))), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_asm)). 0.60/0.95 fof(f5823,plain,( 0.60/0.95 spl23_12 | ~spl23_7), 0.60/0.95 inference(avatar_split_clause,[],[f5799,f5746,f5820])). 0.60/0.95 fof(f5820,plain,( 0.60/0.95 spl23_12 <=> v_F = hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),sK19(hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))),c_Hoare__Mirabelle_OMGT,tc_Com_Ocom,v_F,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)))), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_12])])). 0.60/0.95 fof(f5799,plain,( 0.60/0.95 v_F = hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),sK19(hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))),c_Hoare__Mirabelle_OMGT,tc_Com_Ocom,v_F,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))) | ~spl23_7), 0.60/0.95 inference(resolution,[],[f5748,f5607])). 0.60/0.95 fof(f5607,plain,( 0.60/0.95 ( ! [X2,X3,X0,X1,X4] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool)),X3),hAPP(c_Set_Oimage(X2,X4,X1),X0))) | hAPP(c_Set_Oimage(X2,X4,X1),sK19(X0,X1,X2,X3,X4)) = X3) )), 0.60/0.95 inference(cnf_transformation,[],[f5331])). 0.60/0.95 fof(f5331,plain,( 0.60/0.95 ! [X0,X1,X2,X3,X4] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool)),X3),hAPP(c_Set_Oimage(X2,X4,X1),X0))) <=> ? [X5] : (hAPP(c_Set_Oimage(X2,X4,X1),X5) = X3 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X5),X0))))), 0.60/0.95 inference(rectify,[],[f3638])). 0.60/0.95 fof(f3638,axiom,( 0.60/0.95 ! [X0,X11,X12,X22,X1] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X22),hAPP(c_Set_Oimage(X12,X1,X11),X0))) <=> ? [X295] : (hAPP(c_Set_Oimage(X12,X1,X11),X295) = X22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X12,tc_HOL_Obool)),X295),X0))))), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_subset__image__iff)). 0.60/0.95 fof(f5818,plain,( 0.60/0.95 spl23_11 | ~spl23_7), 0.60/0.95 inference(avatar_split_clause,[],[f5798,f5746,f5815])). 0.60/0.95 fof(f5815,plain,( 0.60/0.95 spl23_11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Com_Ocom,tc_HOL_Obool)),sK19(hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))),c_Hoare__Mirabelle_OMGT,tc_Com_Ocom,v_F,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))),hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom))))))))), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_11])])). 0.60/0.95 fof(f5798,plain,( 0.60/0.95 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Com_Ocom,tc_HOL_Obool)),sK19(hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))),c_Hoare__Mirabelle_OMGT,tc_Com_Ocom,v_F,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))),hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))))) | ~spl23_7), 0.60/0.95 inference(resolution,[],[f5748,f5606])). 0.60/0.95 fof(f5606,plain,( 0.60/0.95 ( ! [X2,X3,X0,X1,X4] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool)),X3),hAPP(c_Set_Oimage(X2,X4,X1),X0))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),sK19(X0,X1,X2,X3,X4)),X0))) )), 0.60/0.95 inference(cnf_transformation,[],[f5331])). 0.60/0.95 fof(f5796,plain,( 0.60/0.95 ~spl23_10 | spl23_5), 0.60/0.95 inference(avatar_split_clause,[],[f5791,f5733,f5793])). 0.60/0.95 fof(f5793,plain,( 0.60/0.95 spl23_10 <=> hBOOL(hAPP(v_F,hAPP(c_Hoare__Mirabelle_OMGT,v_y)))), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_10])])). 0.60/0.95 fof(f5733,plain,( 0.60/0.95 spl23_5 <=> hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),v_F))), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_5])])). 0.60/0.95 fof(f5791,plain,( 0.60/0.95 ~hBOOL(hAPP(v_F,hAPP(c_Hoare__Mirabelle_OMGT,v_y))) | spl23_5), 0.60/0.95 inference(resolution,[],[f5735,f5566])). 0.60/0.95 fof(f5566,plain,( 0.60/0.95 ( ! [X2,X0,X1] : (hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) | ~hBOOL(hAPP(X0,X1))) )), 0.60/0.95 inference(cnf_transformation,[],[f5300])). 0.60/0.95 fof(f5300,plain,( 0.60/0.95 ! [X0,X1,X2] : (hBOOL(hAPP(X0,X1)) <=> hBOOL(hAPP(hAPP(c_member(X2),X1),X0)))), 0.60/0.95 inference(rectify,[],[f5018])). 0.60/0.95 fof(f5018,axiom,( 0.60/0.95 ! [X0,X9,X1] : (hBOOL(hAPP(X0,X9)) <=> hBOOL(hAPP(hAPP(c_member(X1),X9),X0)))), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mem__def)). 0.60/0.95 fof(f5735,plain,( 0.60/0.95 ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),v_F)) | spl23_5), 0.60/0.95 inference(avatar_component_clause,[],[f5733])). 0.60/0.95 fof(f5779,plain,( 0.60/0.95 spl23_9 | ~spl23_4), 0.60/0.95 inference(avatar_split_clause,[],[f5765,f5728,f5776])). 0.60/0.95 fof(f5776,plain,( 0.60/0.95 spl23_9 <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(tc_Com_Ocom)),hAPP(c_Com_Obody,v_pn))), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_9])])). 0.60/0.95 fof(f5765,plain,( 0.60/0.95 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(tc_Com_Ocom)),hAPP(c_Com_Obody,v_pn)) | ~spl23_4), 0.60/0.95 inference(superposition,[],[f5535,f5730])). 0.60/0.95 fof(f5535,plain,( 0.60/0.95 ( ! [X0,X1] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(X1)),hAPP(c_Option_Ooption_OSome(X1),X0))) )), 0.60/0.95 inference(cnf_transformation,[],[f5277])). 0.60/0.95 fof(f5277,plain,( 0.60/0.95 ! [X0,X1] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(X1)),hAPP(c_Option_Ooption_OSome(X1),X0))), 0.60/0.95 inference(rectify,[],[f4852])). 0.60/0.95 fof(f4852,axiom,( 0.60/0.95 ! [X17,X1] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(X1)),hAPP(c_Option_Ooption_OSome(X1),X17))), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_option_Osize_I4_J)). 0.60/0.95 fof(f5774,plain,( 0.60/0.95 spl23_8 | ~spl23_4), 0.60/0.95 inference(avatar_split_clause,[],[f5762,f5728,f5771])). 0.60/0.95 fof(f5771,plain,( 0.60/0.95 spl23_8 <=> v_y = hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_8])])). 0.60/0.95 fof(f5762,plain,( 0.60/0.95 v_y = hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)) | ~spl23_4), 0.60/0.95 inference(superposition,[],[f5637,f5730])). 0.60/0.95 fof(f5637,plain,( 0.60/0.95 ( ! [X0,X1] : (hAPP(c_Option_Othe(X1),hAPP(c_Option_Ooption_OSome(X1),X0)) = X0) )), 0.60/0.95 inference(cnf_transformation,[],[f5352])). 0.60/0.95 fof(f5352,plain,( 0.60/0.95 ! [X0,X1] : hAPP(c_Option_Othe(X1),hAPP(c_Option_Ooption_OSome(X1),X0)) = X0), 0.60/0.95 inference(rectify,[],[f2946])). 0.60/0.95 fof(f2946,axiom,( 0.60/0.95 ! [X35,X1] : hAPP(c_Option_Othe(X1),hAPP(c_Option_Ooption_OSome(X1),X35)) = X35), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_the_Osimps)). 0.60/0.95 fof(f5749,plain,( 0.60/0.95 spl23_7), 0.60/0.95 inference(avatar_split_clause,[],[f5744,f5746])). 0.60/0.95 fof(f5744,plain,( 0.60/0.95 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_F),hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,c_Option_Othe(tc_Com_Ocom)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),c_Com_Obody),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))))))), 0.60/0.95 inference(forward_demodulation,[],[f5743,f5602])). 0.60/0.95 fof(f5602,plain,( 0.60/0.95 ( ! [X2,X3,X0,X1,X4,X5] : (hAPP(c_Set_Oimage(X2,X4,hAPP(hAPP(c_COMBB(X5,X4,X2),X3),X1)),X0) = hAPP(c_Set_Oimage(X5,X4,X3),hAPP(c_Set_Oimage(X2,X5,X1),X0))) )), 0.60/0.95 inference(cnf_transformation,[],[f5329])). 0.60/0.95 fof(f5329,plain,( 0.60/0.95 ! [X0,X1,X2,X3,X4,X5] : hAPP(c_Set_Oimage(X2,X4,hAPP(hAPP(c_COMBB(X5,X4,X2),X3),X1)),X0) = hAPP(c_Set_Oimage(X5,X4,X3),hAPP(c_Set_Oimage(X2,X5,X1),X0))), 0.60/0.95 inference(rectify,[],[f3155])). 0.60/0.95 fof(f3155,axiom,( 0.60/0.95 ! [X0,X15,X16,X11,X1,X12] : hAPP(c_Set_Oimage(X16,X1,hAPP(hAPP(c_COMBB(X12,X1,X16),X11),X15)),X0) = hAPP(c_Set_Oimage(X12,X1,X11),hAPP(c_Set_Oimage(X16,X12,X15),X0))), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_image__image)). 0.60/0.95 fof(f5743,plain,( 0.60/0.95 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_F),hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody)),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom))))))))), 0.60/0.95 inference(forward_demodulation,[],[f5664,f5602])). 0.60/0.95 fof(f5664,plain,( 0.60/0.95 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_F),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))))), 0.60/0.95 inference(definition_unfolding,[],[f5489,f5595])). 0.60/0.95 fof(f5595,plain,( 0.60/0.95 ( ! [X2,X0,X1] : (c_Map_Odom(X2,X1,X0) = hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2),c_fNot),hAPP(hAPP(c_COMBC(X2,tc_Option_Ooption(X1),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool),X2),c_fequal),X0)),c_Option_Ooption_ONone(X1))))) )), 0.60/0.95 inference(cnf_transformation,[],[f5322])). 0.60/0.95 fof(f5322,plain,( 0.60/0.95 ! [X0,X1,X2] : c_Map_Odom(X2,X1,X0) = hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2),c_fNot),hAPP(hAPP(c_COMBC(X2,tc_Option_Ooption(X1),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool),X2),c_fequal),X0)),c_Option_Ooption_ONone(X1))))), 0.60/0.95 inference(rectify,[],[f524])). 0.60/0.95 fof(f524,axiom,( 0.60/0.95 ! [X54,X12,X1] : hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),hAPP(hAPP(c_COMBC(X1,tc_Option_Ooption(X12),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X12),tc_fun(tc_Option_Ooption(X12),tc_HOL_Obool),X1),c_fequal),X54)),c_Option_Ooption_ONone(X12)))) = c_Map_Odom(X1,X12,X54)), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_dom__def)). 0.60/0.95 fof(f5489,plain,( 0.60/0.95 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_F),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))))), 0.60/0.95 inference(cnf_transformation,[],[f4191])). 0.60/0.95 fof(f4191,axiom,( 0.60/0.95 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_F),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))))), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3)). 0.60/0.95 fof(f5742,plain,( 0.60/0.95 spl23_6), 0.60/0.95 inference(avatar_split_clause,[],[f5737,f5739])). 0.60/0.95 fof(f5739,plain,( 0.60/0.95 spl23_6 <=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))),v_F)), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_6])])). 0.60/0.95 fof(f5737,plain,( 0.60/0.95 c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))),v_F)), 0.60/0.95 inference(forward_demodulation,[],[f5663,f5602])). 0.60/0.95 fof(f5663,plain,( 0.60/0.95 c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom))))),v_F)), 0.60/0.95 inference(definition_unfolding,[],[f5488,f5595])). 0.60/0.95 fof(f5488,plain,( 0.60/0.95 c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),v_F)), 0.60/0.95 inference(cnf_transformation,[],[f1432])). 0.60/0.95 fof(f1432,axiom,( 0.60/0.95 c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),v_F)), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5)). 0.60/0.95 fof(f5736,plain,( 0.60/0.95 ~spl23_5), 0.60/0.95 inference(avatar_split_clause,[],[f5487,f5733])). 0.60/0.95 fof(f5487,plain,( 0.60/0.95 ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),v_F))), 0.60/0.95 inference(cnf_transformation,[],[f3503])). 0.60/0.95 fof(f3503,axiom,( 0.60/0.95 ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),v_F))), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2)). 0.60/0.95 fof(f5731,plain,( 0.60/0.95 spl23_4), 0.60/0.95 inference(avatar_split_clause,[],[f5486,f5728])). 0.60/0.95 fof(f5486,plain,( 0.60/0.95 hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)), 0.60/0.95 inference(cnf_transformation,[],[f2246])). 0.60/0.95 fof(f2246,axiom,( 0.60/0.95 hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4)). 0.60/0.95 fof(f5726,plain,( 0.60/0.95 spl23_3), 0.60/0.95 inference(avatar_split_clause,[],[f5485,f5723])). 0.60/0.95 fof(f5723,plain,( 0.60/0.95 spl23_3 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_F))), 0.60/0.95 introduced(avatar_definition,[new_symbols(naming,[spl23_3])])). 0.60/0.95 fof(f5485,plain,( 0.60/0.95 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_F))), 0.60/0.95 inference(cnf_transformation,[],[f4639])). 0.60/0.95 fof(f4639,axiom,( 0.60/0.95 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_F))), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)). 0.60/0.95 fof(f5721,plain,( 0.60/0.95 spl23_2), 0.60/0.95 inference(avatar_split_clause,[],[f5484,f5718])). 0.60/0.95 fof(f5484,plain,( 0.60/0.95 c_Com_OWT__bodies), 0.60/0.95 inference(cnf_transformation,[],[f3222])). 0.60/0.95 fof(f3222,axiom,( 0.60/0.95 c_Com_OWT__bodies), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 0.60/0.95 fof(f5716,plain,( 0.60/0.95 ~spl23_1), 0.60/0.95 inference(avatar_split_clause,[],[f5483,f5713])). 0.60/0.95 fof(f5483,plain,( 0.60/0.95 ~hBOOL(hAPP(c_Com_OWT,v_y))), 0.60/0.95 inference(cnf_transformation,[],[f5250])). 0.60/0.95 fof(f5250,plain,( 0.60/0.95 ~hBOOL(hAPP(c_Com_OWT,v_y))), 0.60/0.95 inference(flattening,[],[f1595])). 0.60/0.95 fof(f1595,negated_conjecture,( 0.60/0.95 ~hBOOL(hAPP(c_Com_OWT,v_y))), 0.60/0.95 inference(negated_conjecture,[],[f1594])). 0.60/0.95 fof(f1594,conjecture,( 0.60/0.95 hBOOL(hAPP(c_Com_OWT,v_y))), 0.60/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6)). 0.60/0.95 % SZS output end Proof for theBenchmark 0.60/0.95 % (22318)------------------------------ 0.60/0.95 % (22318)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.60/0.95 % (22318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.60/0.95 % (22318)Termination reason: Refutation 0.60/0.95 0.60/0.95 % (22318)Memory used [KB]: 13048 0.60/0.95 % (22318)Time elapsed: 0.119 s 0.60/0.95 % (22318)------------------------------ 0.60/0.95 % (22318)------------------------------ 0.60/0.95 % (22314)Success in time 0.58 s 0.60/0.95 EOF