0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : vampire --mode casc -t %d %s 0.11/0.33 % Computer : n022.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % DateTime : Thu Jul 2 08:35:17 EDT 2020 0.11/0.33 % CPUTime : 0.18/0.45 % dis+10_16_awrs=decay:awrsf=256:afr=on:afp=40000:afq=2.0:amm=off:bsr=on:cond=on:er=known:gsp=input_only: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 0.47/0.64 % Refutation found. Thanks to Tanya! 0.47/0.64 % SZS status Theorem for theBenchmark 0.47/0.64 % SZS output start Proof for theBenchmark 0.47/0.65 fof(f5154,plain,( 0.47/0.65 $false), 0.47/0.65 inference(avatar_sat_refutation,[],[f1289,f1296,f1303,f1310,f1311,f1318,f1319,f3341,f5153])). 0.47/0.65 fof(f5153,plain,( 0.47/0.65 spl42_1 | ~spl42_2 | spl42_5), 0.47/0.65 inference(avatar_contradiction_clause,[],[f5152])). 0.47/0.65 fof(f5152,plain,( 0.47/0.65 $false | (~spl42_1 | ~spl42_2 | ~spl42_5)), 0.47/0.65 inference(subsumption_resolution,[],[f5151,f1302])). 0.47/0.65 fof(f1302,plain,( 0.47/0.65 ~hBOOL(fFalse) | ~spl42_5), 0.47/0.65 inference(avatar_component_clause,[],[f1301])). 0.47/0.65 fof(f1301,plain,( 0.47/0.65 spl42_5 <=> ~hBOOL(fFalse)), 0.47/0.65 introduced(avatar_definition,[new_symbols(naming,[spl42_5])])). 0.47/0.65 fof(f5151,plain,( 0.47/0.65 hBOOL(fFalse) | (~spl42_1 | ~spl42_2)), 0.47/0.65 inference(forward_demodulation,[],[f5129,f1323])). 0.47/0.65 fof(f1323,plain,( 0.47/0.65 ( ! [X6] : (fFalse = hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse),X6)) ) | ~spl42_2), 0.47/0.65 inference(resolution,[],[f1059,f1295])). 0.47/0.65 fof(f1295,plain,( 0.47/0.65 is_bool(fFalse) | ~spl42_2), 0.47/0.65 inference(avatar_component_clause,[],[f1294])). 0.47/0.65 fof(f1294,plain,( 0.47/0.65 spl42_2 <=> is_bool(fFalse)), 0.47/0.65 introduced(avatar_definition,[new_symbols(naming,[spl42_2])])). 0.47/0.65 fof(f1059,plain,( 0.47/0.65 ( ! [X0,X1] : (~is_bool(X0) | hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0) )), 0.47/0.65 inference(cnf_transformation,[],[f955])). 0.47/0.65 fof(f955,plain,( 0.47/0.65 ! [X0,X1] : (hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0 | ~is_bool(X0))), 0.47/0.65 inference(ennf_transformation,[],[f847])). 0.47/0.65 fof(f847,plain,( 0.47/0.65 ! [X0,X1] : (is_bool(X0) => hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0)), 0.47/0.65 inference(rectify,[],[f580])). 0.47/0.65 fof(f580,axiom,( 0.47/0.65 ! [X10,X11] : (is_bool(X10) => hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X10),X11) = X10)), 0.47/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U)). 0.47/0.65 fof(f5129,plain,( 0.47/0.65 hBOOL(hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse),sK4(g,c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)),hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse))))) | ~spl42_1), 0.47/0.65 inference(resolution,[],[f2716,f1288])). 0.47/0.65 fof(f1288,plain,( 0.47/0.65 ~hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool))) | ~spl42_1), 0.47/0.65 inference(avatar_component_clause,[],[f1287])). 0.47/0.65 fof(f1287,plain,( 0.47/0.65 spl42_1 <=> ~hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool)))), 0.47/0.65 introduced(avatar_definition,[new_symbols(naming,[spl42_1])])). 0.47/0.65 fof(f2716,plain,( 0.47/0.65 ( ! [X2,X0,X3,X1] : (hBOOL(hAPP_state_bool(X0,sK4(X1,X2,X3,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0)))) | hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X1),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X2,X3)),bot_bo1181479936a_bool)))) )), 0.47/0.65 inference(superposition,[],[f1060,f1062])). 0.47/0.65 fof(f1062,plain,( 0.47/0.65 ( ! [X0,X1] : (hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0) )), 0.47/0.65 inference(cnf_transformation,[],[f849])). 0.47/0.65 fof(f849,plain,( 0.47/0.65 ! [X0,X1] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0), 0.47/0.65 inference(rectify,[],[f771])). 0.47/0.65 fof(f771,axiom,( 0.47/0.65 ! [X10,X11] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X10),X11) = X10), 0.47/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U)). 0.47/0.65 fof(f1060,plain,( 0.47/0.65 ( ! [X2,X0,X3,X1] : (hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK3(X0,X1,X2,X3)),sK4(X0,X1,X2,X3))) | hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X3,X1,X2)),bot_bo1181479936a_bool)))) )), 0.47/0.65 inference(cnf_transformation,[],[f956])). 0.47/0.65 fof(f956,plain,( 0.47/0.65 ! [X0,X1,X2,X3] : (hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X3,X1,X2)),bot_bo1181479936a_bool))) | ? [X4,X5] : (~hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X5)),X1,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(X2,X4)))),bot_bo1181479936a_bool))) & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5))))), 0.47/0.65 inference(ennf_transformation,[],[f848])). 0.47/0.65 fof(f848,plain,( 0.47/0.65 ! [X0,X1,X2,X3] : (! [X4,X5] : (hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5)) => hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X5)),X1,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(X2,X4)))),bot_bo1181479936a_bool)))) => hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X3,X1,X2)),bot_bo1181479936a_bool))))), 0.47/0.65 inference(rectify,[],[f96])). 0.47/0.65 fof(f96,axiom,( 0.47/0.65 ! [X4,X13,X26,X5] : (! [X49,X50] : (hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X49),X50)) => hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X4),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X50)),X13,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(X26,X49)))),bot_bo1181479936a_bool)))) => hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X4),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X5,X13,X26)),bot_bo1181479936a_bool))))), 0.47/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_escape)). 0.47/0.65 fof(f3341,plain,( 0.47/0.65 spl42_10 | spl42_1), 0.47/0.65 inference(avatar_split_clause,[],[f3330,f1287,f3339])). 0.47/0.65 fof(f3339,plain,( 0.47/0.65 spl42_10 <=> hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool) = hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,sK17(g,hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool))),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool))), 0.47/0.65 introduced(avatar_definition,[new_symbols(naming,[spl42_10])])). 0.47/0.65 fof(f3330,plain,( 0.47/0.65 hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool) = hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,sK17(g,hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool))),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool)) | ~spl42_1), 0.47/0.65 inference(resolution,[],[f3182,f1288])). 0.47/0.65 fof(f3182,plain,( 0.47/0.65 ( ! [X8,X7] : (hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X7),X8)) | hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,sK17(X7,X8)),X8) = X8) )), 0.47/0.65 inference(resolution,[],[f1822,f1066])). 0.47/0.65 fof(f1066,plain,( 0.47/0.65 ( ! [X0,X1] : (~hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,X0),X1)) | hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X1),X0))) )), 0.47/0.65 inference(cnf_transformation,[],[f963])). 0.47/0.65 fof(f963,plain,( 0.47/0.65 ! [X0,X1] : (hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X1),X0)) | ~hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,X0),X1)))), 0.47/0.65 inference(ennf_transformation,[],[f853])). 0.47/0.65 fof(f853,plain,( 0.47/0.65 ! [X0,X1] : (hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,X0),X1)) => hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X1),X0)))), 0.47/0.65 inference(rectify,[],[f328])). 0.47/0.65 fof(f328,axiom,( 0.47/0.65 ! [X102,X4] : (hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,X102),X4)) => hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X4),X102)))), 0.47/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_571_asm)). 0.47/0.65 fof(f1822,plain,( 0.47/0.65 ( ! [X0,X1] : (hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,X0),X1)) | hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,sK17(X1,X0)),X0) = X0) )), 0.47/0.65 inference(resolution,[],[f1109,f1150])). 0.47/0.65 fof(f1150,plain,( 0.47/0.65 ( ! [X0,X1] : (~hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X0),X1)) | hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,X0),X1) = X1) )), 0.47/0.65 inference(cnf_transformation,[],[f1001])). 0.47/0.65 fof(f1001,plain,( 0.47/0.65 ! [X0,X1] : (hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,X0),X1) = X1 | ~hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X0),X1)))), 0.47/0.65 inference(ennf_transformation,[],[f900])). 0.47/0.65 fof(f900,plain,( 0.47/0.65 ! [X0,X1] : (hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X0),X1)) => hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,X0),X1) = X1)), 0.47/0.65 inference(rectify,[],[f587])). 0.47/0.65 fof(f587,axiom,( 0.47/0.65 ! [X6,X1] : (hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X6),X1)) => hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,X6),X1) = X1)), 0.47/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_insert__absorb)). 0.47/0.65 fof(f1109,plain,( 0.47/0.65 ( ! [X0,X1] : (hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,sK17(X0,X1)),X1)) | hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,X1),X0))) )), 0.47/0.65 inference(cnf_transformation,[],[f988])). 0.47/0.65 fof(f988,plain,( 0.47/0.65 ! [X0,X1] : (hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,X1),X0)) | ? [X2] : (~hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X2),X0)) & hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X2),X1))))), 0.47/0.65 inference(ennf_transformation,[],[f879])). 0.47/0.65 fof(f879,plain,( 0.47/0.65 ! [X0,X1] : (! [X2] : (hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X2),X1)) => hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X2),X0))) => hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,X1),X0)))), 0.47/0.65 inference(rectify,[],[f372])). 0.47/0.65 fof(f372,axiom,( 0.47/0.65 ! [X7,X1] : (! [X16] : (hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X16),X1)) => hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X16),X7))) => hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,X1),X7)))), 0.47/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_598_subsetI)). 0.47/0.65 fof(f1319,plain,( 0.47/0.65 spl42_8), 0.47/0.65 inference(avatar_split_clause,[],[f1204,f1316])). 0.47/0.65 fof(f1316,plain,( 0.47/0.65 spl42_8 <=> hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,bot_bo1181479936a_bool))), 0.47/0.65 introduced(avatar_definition,[new_symbols(naming,[spl42_8])])). 0.47/0.65 fof(f1204,plain,( 0.47/0.65 hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,bot_bo1181479936a_bool))), 0.47/0.65 inference(cnf_transformation,[],[f214])). 0.47/0.65 fof(f214,axiom,( 0.47/0.65 hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,bot_bo1181479936a_bool))), 0.47/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_313_finite_OemptyI)). 0.47/0.65 fof(f1318,plain,( 0.47/0.65 spl42_8), 0.47/0.65 inference(avatar_split_clause,[],[f1265,f1316])). 0.47/0.65 fof(f1265,plain,( 0.47/0.65 hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,bot_bo1181479936a_bool))), 0.47/0.65 inference(equality_resolution,[],[f1203])). 0.47/0.65 fof(f1203,plain,( 0.47/0.65 ( ! [X0] : (bot_bo1181479936a_bool != X0 | hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,X0))) )), 0.47/0.65 inference(cnf_transformation,[],[f929])). 0.47/0.65 fof(f929,plain,( 0.47/0.65 ! [X0] : (hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,X0)) <=> (? [X1,X2] : (hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,X2),X1) = X0 & hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,X1))) | bot_bo1181479936a_bool = X0))), 0.47/0.65 inference(rectify,[],[f489])). 0.47/0.65 fof(f489,axiom,( 0.47/0.65 ! [X6] : (hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,X6)) <=> (? [X30,X29] : (hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,X29),X30) = X6 & hBOOL(hAPP_f540970102l_bool(finite1655202547iple_a,X30))) | bot_bo1181479936a_bool = X6))), 0.47/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_336_finite_Osimps)). 0.47/0.65 fof(f1311,plain,( 0.47/0.65 spl42_6), 0.47/0.65 inference(avatar_split_clause,[],[f1254,f1308])). 0.47/0.65 fof(f1308,plain,( 0.47/0.65 spl42_6 <=> hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,bot_bo1181479936a_bool),bot_bo1181479936a_bool))), 0.47/0.65 introduced(avatar_definition,[new_symbols(naming,[spl42_6])])). 0.47/0.65 fof(f1254,plain,( 0.47/0.65 hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,bot_bo1181479936a_bool),bot_bo1181479936a_bool))), 0.47/0.65 inference(equality_resolution,[],[f1116])). 0.47/0.65 fof(f1116,plain,( 0.47/0.65 ( ! [X0] : (hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,X0),bot_bo1181479936a_bool)) | bot_bo1181479936a_bool != X0) )), 0.47/0.65 inference(cnf_transformation,[],[f883])). 0.47/0.65 fof(f883,plain,( 0.47/0.65 ! [X0] : (bot_bo1181479936a_bool = X0 <=> hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,X0),bot_bo1181479936a_bool)))), 0.47/0.65 inference(rectify,[],[f818])). 0.47/0.65 fof(f818,axiom,( 0.47/0.65 ! [X6] : (bot_bo1181479936a_bool = X6 <=> hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,X6),bot_bo1181479936a_bool)))), 0.47/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_555_bot__unique)). 0.47/0.65 fof(f1310,plain,( 0.47/0.65 spl42_6), 0.47/0.65 inference(avatar_split_clause,[],[f1253,f1308])). 0.47/0.65 fof(f1253,plain,( 0.47/0.65 hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,bot_bo1181479936a_bool),bot_bo1181479936a_bool))), 0.47/0.65 inference(equality_resolution,[],[f1113])). 0.47/0.65 fof(f1113,plain,( 0.47/0.65 ( ! [X0] : (bot_bo1181479936a_bool != X0 | hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,X0),bot_bo1181479936a_bool))) )), 0.47/0.65 inference(cnf_transformation,[],[f882])). 0.47/0.65 fof(f882,plain,( 0.47/0.65 ! [X0] : (hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,X0),bot_bo1181479936a_bool)) <=> bot_bo1181479936a_bool = X0)), 0.47/0.65 inference(rectify,[],[f109])). 0.47/0.65 fof(f109,axiom,( 0.47/0.65 ! [X1] : (hBOOL(hAPP_f540970102l_bool(hAPP_f430043647l_bool(ord_le1908022732a_bool,X1),bot_bo1181479936a_bool)) <=> bot_bo1181479936a_bool = X1)), 0.47/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_459_subset__empty)). 0.47/0.65 fof(f1303,plain,( 0.47/0.65 ~spl42_5), 0.47/0.65 inference(avatar_split_clause,[],[f1058,f1301])). 0.47/0.65 fof(f1058,plain,( 0.47/0.65 ~hBOOL(fFalse)), 0.47/0.65 inference(cnf_transformation,[],[f575])). 0.47/0.65 fof(f575,axiom,( 0.47/0.65 ~hBOOL(fFalse)), 0.47/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U)). 0.47/0.65 fof(f1296,plain,( 0.47/0.65 spl42_2), 0.47/0.65 inference(avatar_split_clause,[],[f1034,f1294])). 0.47/0.65 fof(f1034,plain,( 0.47/0.65 is_bool(fFalse)), 0.47/0.65 inference(cnf_transformation,[],[f788])). 0.47/0.65 fof(f788,axiom,( 0.47/0.65 is_bool(fFalse)), 0.47/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fFalse)). 0.47/0.65 fof(f1289,plain,( 0.47/0.65 ~spl42_1), 0.47/0.65 inference(avatar_split_clause,[],[f1033,f1287])). 0.47/0.65 fof(f1033,plain,( 0.47/0.65 ~hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool)))), 0.47/0.65 inference(cnf_transformation,[],[f832])). 0.47/0.65 fof(f832,plain,( 0.47/0.65 ~hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool)))), 0.47/0.65 inference(flattening,[],[f624])). 0.47/0.65 fof(f624,negated_conjecture,( 0.47/0.65 ~hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool)))), 0.47/0.65 inference(negated_conjecture,[],[f623])). 0.47/0.65 fof(f623,conjecture,( 0.47/0.65 hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool)))), 0.47/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 0.47/0.65 % SZS output end Proof for theBenchmark 0.47/0.65 % ------------------------------ 0.47/0.65 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.47/0.65 % Termination reason: Refutation 0.47/0.65 0.47/0.65 % Memory used [KB]: 4605 0.47/0.65 % Time elapsed: 0.195 s 0.47/0.65 % ------------------------------ 0.47/0.65 % ------------------------------ 0.47/0.65 % Success in time 0.313 s 0.47/0.65 EOF