0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : run_vampire %s %d
0.14/0.34	% Computer   : n013.cluster.edu
0.14/0.34	% Model      : x86_64 x86_64
0.14/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.34	% Memory     : 8042.1875MB
0.14/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.34	% CPULimit   : 1200
0.14/0.34	% WCLimit    : 120
0.14/0.34	% DateTime   : Tue Jul 13 12:45:03 EDT 2021
0.20/0.34	% CPUTime    : 
0.20/0.34	This is a THF_ problem
0.20/0.35	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.20/0.36	ipcrm: permission denied for id (1199603712)
0.20/0.36	ipcrm: permission denied for id (1206747137)
0.20/0.36	ipcrm: permission denied for id (1199669250)
0.20/0.36	ipcrm: permission denied for id (1204256771)
0.20/0.36	ipcrm: permission denied for id (1199734788)
0.20/0.36	ipcrm: permission denied for id (1204289541)
0.20/0.36	ipcrm: permission denied for id (1204322310)
0.20/0.37	ipcrm: permission denied for id (1199800327)
0.20/0.37	ipcrm: permission denied for id (1204355080)
0.20/0.37	ipcrm: permission denied for id (1199865865)
0.20/0.37	ipcrm: permission denied for id (1204387850)
0.20/0.37	ipcrm: permission denied for id (1199931403)
0.20/0.37	ipcrm: permission denied for id (1204420620)
0.20/0.37	ipcrm: permission denied for id (1199996941)
0.20/0.37	ipcrm: permission denied for id (1204551694)
0.20/0.38	ipcrm: permission denied for id (1200062479)
0.20/0.38	ipcrm: permission denied for id (1200095248)
0.20/0.38	ipcrm: permission denied for id (1204584466)
0.20/0.38	ipcrm: permission denied for id (1200193555)
0.20/0.38	ipcrm: permission denied for id (1204617236)
0.20/0.38	ipcrm: permission denied for id (1200259093)
0.20/0.38	ipcrm: permission denied for id (1207009302)
0.20/0.39	ipcrm: permission denied for id (1200455707)
0.20/0.39	ipcrm: permission denied for id (1200521245)
0.20/0.39	ipcrm: permission denied for id (1207599134)
0.20/0.39	ipcrm: permission denied for id (1200586783)
0.20/0.40	ipcrm: permission denied for id (1200652321)
0.20/0.40	ipcrm: permission denied for id (1200717859)
0.20/0.40	ipcrm: permission denied for id (1207795748)
0.20/0.40	ipcrm: permission denied for id (1200783397)
0.20/0.40	ipcrm: permission denied for id (1200816166)
0.20/0.40	ipcrm: permission denied for id (1200848935)
0.20/0.41	ipcrm: permission denied for id (1207926824)
0.20/0.41	ipcrm: permission denied for id (1200947241)
0.20/0.41	ipcrm: permission denied for id (1205370922)
0.20/0.41	ipcrm: permission denied for id (1208090668)
0.20/0.41	ipcrm: permission denied for id (1201045549)
0.20/0.41	ipcrm: permission denied for id (1201078318)
0.20/0.41	ipcrm: permission denied for id (1201111087)
0.20/0.42	ipcrm: permission denied for id (1201209393)
0.20/0.42	ipcrm: permission denied for id (1201242162)
0.20/0.42	ipcrm: permission denied for id (1201274931)
0.20/0.42	ipcrm: permission denied for id (1201307700)
0.20/0.42	ipcrm: permission denied for id (1201340469)
0.20/0.42	ipcrm: permission denied for id (1201373238)
0.20/0.42	ipcrm: permission denied for id (1201406007)
0.20/0.42	ipcrm: permission denied for id (1201438776)
0.20/0.43	ipcrm: permission denied for id (1208352825)
0.20/0.43	ipcrm: permission denied for id (1201504314)
0.20/0.43	ipcrm: permission denied for id (1208385595)
0.20/0.43	ipcrm: permission denied for id (1201569852)
0.20/0.43	ipcrm: permission denied for id (1201635390)
0.20/0.43	ipcrm: permission denied for id (1205403711)
0.20/0.43	ipcrm: permission denied for id (1201700928)
0.20/0.43	ipcrm: permission denied for id (1205436481)
0.20/0.44	ipcrm: permission denied for id (1201766466)
0.20/0.44	ipcrm: permission denied for id (1205469251)
0.20/0.44	ipcrm: permission denied for id (1201832004)
0.20/0.44	ipcrm: permission denied for id (1205502021)
0.20/0.44	ipcrm: permission denied for id (1201897542)
0.20/0.44	ipcrm: permission denied for id (1205534791)
0.20/0.44	ipcrm: permission denied for id (1201963080)
0.20/0.44	ipcrm: permission denied for id (1205567561)
0.20/0.45	ipcrm: permission denied for id (1202028618)
0.20/0.45	ipcrm: permission denied for id (1205600331)
0.20/0.45	ipcrm: permission denied for id (1202094156)
0.20/0.45	ipcrm: permission denied for id (1205633101)
0.20/0.45	ipcrm: permission denied for id (1202159694)
0.20/0.45	ipcrm: permission denied for id (1205698639)
0.20/0.45	ipcrm: permission denied for id (1202225232)
0.20/0.46	ipcrm: permission denied for id (1202290770)
0.20/0.46	ipcrm: permission denied for id (1205764179)
0.20/0.46	ipcrm: permission denied for id (1202454612)
0.20/0.46	ipcrm: permission denied for id (1202552918)
0.20/0.46	ipcrm: permission denied for id (1202585687)
0.20/0.46	ipcrm: permission denied for id (1202618456)
0.20/0.46	ipcrm: permission denied for id (1202749529)
0.20/0.46	ipcrm: permission denied for id (1202782298)
0.20/0.47	ipcrm: permission denied for id (1202815067)
0.20/0.47	ipcrm: permission denied for id (1202847836)
0.20/0.47	ipcrm: permission denied for id (1202880605)
0.20/0.47	ipcrm: permission denied for id (1202913374)
0.20/0.47	ipcrm: permission denied for id (1203011679)
0.20/0.47	ipcrm: permission denied for id (1203142752)
0.20/0.47	ipcrm: permission denied for id (1205829729)
0.20/0.47	ipcrm: permission denied for id (1203175522)
0.20/0.48	ipcrm: permission denied for id (1203208291)
0.20/0.48	ipcrm: permission denied for id (1203273829)
0.20/0.48	ipcrm: permission denied for id (1203667046)
0.20/0.48	ipcrm: permission denied for id (1203339367)
0.20/0.48	ipcrm: permission denied for id (1203372136)
0.20/0.48	ipcrm: permission denied for id (1203404905)
0.20/0.48	ipcrm: permission denied for id (1203437674)
0.20/0.48	ipcrm: permission denied for id (1203470443)
0.20/0.49	ipcrm: permission denied for id (1203503212)
0.20/0.49	ipcrm: permission denied for id (1203535981)
0.20/0.49	ipcrm: permission denied for id (1203568750)
0.20/0.49	ipcrm: permission denied for id (1203601519)
0.20/0.49	ipcrm: permission denied for id (1203634288)
0.20/0.49	ipcrm: permission denied for id (1208746097)
0.20/0.49	ipcrm: permission denied for id (1208778866)
0.20/0.49	ipcrm: permission denied for id (1203732595)
0.20/0.50	ipcrm: permission denied for id (1208877174)
0.20/0.50	ipcrm: permission denied for id (1203863671)
0.20/0.50	ipcrm: permission denied for id (1208909944)
0.20/0.50	ipcrm: permission denied for id (1208975481)
0.20/0.50	ipcrm: permission denied for id (1209008250)
0.20/0.50	ipcrm: permission denied for id (1206583419)
0.20/0.50	ipcrm: permission denied for id (1204060284)
0.20/0.51	ipcrm: permission denied for id (1204093053)
0.20/0.51	ipcrm: permission denied for id (1204125822)
0.20/0.51	ipcrm: permission denied for id (1209041023)
0.20/0.51	Running in auto input_syntax mode. Trying TPTP
0.20/0.58	% (14031)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on:thsq=on_40 on theBenchmark
0.20/0.58	% (14023)lrs+1011_8_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on:thsq=on_3 on theBenchmark
0.20/0.58	% (14024)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on:thsq=on_2 on theBenchmark
0.20/0.59	% (14022)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_2 on theBenchmark
0.20/0.59	% (14034)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off:thsq=on_9 on theBenchmark
0.20/0.59	% (14021)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off:thsq=on_2 on theBenchmark
0.20/0.60	% (14043)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on:thsq=on_8 on theBenchmark
0.20/0.60	% (14035)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on:thsq=on_1 on theBenchmark
0.20/0.60	% (14030)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1:thsq=on_3 on theBenchmark
0.20/0.60	% (14039)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence:thsq=on_6 on theBenchmark
0.20/0.60	% (14047)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off:thsq=on_300 on theBenchmark
0.20/0.61	% (14027)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off:thsq=on_3 on theBenchmark
0.20/0.61	% (14045)lrs+1011_5_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off:thsq=on_130 on theBenchmark
0.20/0.61	% (14026)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off:thsq=on_14 on theBenchmark
0.20/0.61	% (14046)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:cases=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on:thsq=on_13 on theBenchmark
0.20/0.61	% (14038)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:cases=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off:thsq=on_30 on theBenchmark
0.20/0.62	% (14048)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:cases=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_186 on theBenchmark
0.20/0.62	% (14025)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on:thsq=on_13 on theBenchmark
0.20/0.62	% (14044)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:cases=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off:thsq=on_50 on theBenchmark
0.20/0.62	% (14040)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all:thsq=on_8 on theBenchmark
0.20/0.62	% (14037)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence:thsq=on_300 on theBenchmark
0.20/0.62	% (14050)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:cases=on:cnfonf=eager:afq=1.0:fde=all:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on:thsq=on_50 on theBenchmark
0.20/0.62	% (14032)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on:thsq=on_2 on theBenchmark
0.20/0.63	% (14029)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only:thsq=on_29 on theBenchmark
0.20/0.63	% (14042)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_30 on theBenchmark
0.20/0.63	% (14036)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity:thsq=on_7 on theBenchmark
0.20/0.63	% (14028)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on:thsq=on_32 on theBenchmark
0.20/0.64	% (14041)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on:thsq=on_41 on theBenchmark
0.20/0.64	% (14049)dis+1002_4_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark
0.20/0.64	% (14033)dis+1002_6_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off:thsq=on_2 on theBenchmark
0.20/0.70	% (14038)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.16/0.70	% (14046)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.16/0.73	% (14030)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.16/0.74	% (14027)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.16/0.75	% (14037)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.75/0.75	% (14034)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.79/0.75	% (14028)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.79/0.76	% (14023)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.79/0.76	% (14025)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
2.16/0.80	% (14044)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
2.16/0.81	% (14045)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
2.16/0.82	% (14043)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
2.16/0.83	% (14030)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
2.56/0.85	% (14029)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
2.56/0.85	% (14037)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
2.56/0.85	% (14036)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
2.56/0.86	% (14040)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
3.32/0.96	% (14047)First to succeed.
3.32/0.99	% (14047)Refutation found. Thanks to Tanya!
3.32/0.99	% SZS status Theorem for theBenchmark
3.32/0.99	% SZS output start Proof for theBenchmark
3.32/0.99	thf(type_def_6, type, set_Pr2099245410le_U_o: $tType).
3.32/0.99	thf(type_def_7, type, produc622718850le_U_o: $tType).
3.32/0.99	thf(type_def_8, type, produc957084248e_form: $tType).
3.32/0.99	thf(type_def_9, type, set_Pr1072215906le_U_o: $tType).
3.32/0.99	thf(type_def_10, type, produc227817602le_U_o: $tType).
3.32/0.99	thf(type_def_11, type, set_Pr31825690e_form: $tType).
3.32/0.99	thf(type_def_12, type, produc791938916e_form: $tType).
3.32/0.99	thf(type_def_13, type, set_Pr1057005944st_nat: $tType).
3.32/0.99	thf(type_def_14, type, set_Pr1174364408e_form: $tType).
3.32/0.99	thf(type_def_15, type, set_Pr1189404964e_form: $tType).
3.32/0.99	thf(type_def_16, type, produc1473535256st_nat: $tType).
3.32/0.99	thf(type_def_17, type, produc1494932632e_form: $tType).
3.32/0.99	thf(type_def_18, type, produc825256814e_form: $tType).
3.32/0.99	thf(type_def_19, type, list_n2139828004le_U_o: $tType).
3.32/0.99	thf(type_def_20, type, produc890077173st_nat: $tType).
3.32/0.99	thf(type_def_21, type, set_Pr1560408065st_nat: $tType).
3.32/0.99	thf(type_def_22, type, set_Pr957084504rm_nat: $tType).
3.32/0.99	thf(type_def_23, type, set_Pr816919384e_form: $tType).
3.32/0.99	thf(type_def_24, type, produc1699244961st_nat: $tType).
3.32/0.99	thf(type_def_25, type, produc117678584rm_nat: $tType).
3.32/0.99	thf(type_def_26, type, produc1296622072e_form: $tType).
3.32/0.99	thf(type_def_27, type, list_l461858535e_form: $tType).
3.32/0.99	thf(type_def_28, type, set_li5074317e_form: $tType).
3.32/0.99	thf(type_def_29, type, list_s1200803384elle_U: $tType).
3.32/0.99	thf(type_def_30, type, set_Pr1986765409at_nat: $tType).
3.32/0.99	thf(type_def_31, type, list_P512754263e_form: $tType).
3.32/0.99	thf(type_def_32, type, set_Pr554570749e_form: $tType).
3.32/0.99	thf(type_def_33, type, list_P796095576elle_U: $tType).
3.32/0.99	thf(type_def_34, type, set_Pr619177522elle_U: $tType).
3.32/0.99	thf(type_def_35, type, product_prod_nat_nat: $tType).
3.32/0.99	thf(type_def_36, type, list_list_nat: $tType).
3.32/0.99	thf(type_def_37, type, set_list_nat: $tType).
3.32/0.99	thf(type_def_38, type, prover1687215943e_form: $tType).
3.32/0.99	thf(type_def_39, type, prover_Mirabelle_U: $tType).
3.32/0.99	thf(type_def_40, type, list_nat: $tType).
3.32/0.99	thf(type_def_41, type, set_nat: $tType).
3.32/0.99	thf(type_def_42, type, nat: $tType).
3.32/0.99	thf(func_def_43, type, zero_zero_nat: nat).
3.32/0.99	thf(type_def_44, type, >: ($tType * $tType) > $tType).
3.32/0.99	thf(func_def_45, type, if_list_nat: $o > list_nat > list_nat > list_nat).
3.32/0.99	thf(func_def_46, type, if_lis1812881937e_form: $o > list_P512754263e_form > list_P512754263e_form > list_P512754263e_form).
3.32/0.99	thf(func_def_47, type, append_list_nat: list_list_nat > list_list_nat > list_list_nat).
3.32/0.99	thf(func_def_48, type, append1797078012e_form: list_l461858535e_form > list_l461858535e_form > list_l461858535e_form).
3.32/0.99	thf(func_def_49, type, append_nat: list_nat > list_nat > list_nat).
3.32/0.99	thf(func_def_50, type, append1038020460e_form: list_P512754263e_form > list_P512754263e_form > list_P512754263e_form).
3.32/0.99	thf(func_def_51, type, bind_nat_nat: list_nat > (nat > list_nat) > list_nat).
3.32/0.99	thf(func_def_52, type, bind_n1193922848e_form: list_nat > (nat > list_P512754263e_form) > list_P512754263e_form).
3.32/0.99	thf(func_def_53, type, bind_P1359331232rm_nat: list_P512754263e_form > (prover1687215943e_form > list_nat) > list_nat).
3.32/0.99	thf(func_def_54, type, bind_P1054726576e_form: list_P512754263e_form > (prover1687215943e_form > list_P512754263e_form) > list_P512754263e_form).
3.32/0.99	thf(func_def_55, type, butlast_nat: list_nat > list_nat).
3.32/0.99	thf(func_def_56, type, butlas664258165e_form: list_P512754263e_form > list_P512754263e_form).
3.32/0.99	thf(func_def_57, type, can_select_nat: (nat > $o) > set_nat > $o).
3.32/0.99	thf(func_def_58, type, concat_nat: list_list_nat > list_nat).
3.32/0.99	thf(func_def_59, type, concat1664984646e_form: list_l461858535e_form > list_P512754263e_form).
3.32/0.99	thf(func_def_60, type, insert_nat: nat > list_nat > list_nat).
3.32/0.99	thf(func_def_61, type, insert697320747e_form: prover1687215943e_form > list_P512754263e_form > list_P512754263e_form).
3.32/0.99	thf(func_def_62, type, last_nat: list_nat > nat).
3.32/0.99	thf(func_def_63, type, last_P1811260776e_form: list_P512754263e_form > prover1687215943e_form).
3.32/0.99	thf(func_def_64, type, lenlex_nat: set_Pr1986765409at_nat > set_Pr1560408065st_nat).
3.32/0.99	thf(func_def_65, type, lenlex1927129340e_form: set_Pr1189404964e_form > set_Pr31825690e_form).
3.32/0.99	thf(func_def_66, type, lex_nat: set_Pr1986765409at_nat > set_Pr1560408065st_nat).
3.32/0.99	thf(func_def_67, type, lex_Pr233218909e_form: set_Pr1189404964e_form > set_Pr31825690e_form).
3.32/0.99	thf(func_def_68, type, lexord_nat: set_Pr1986765409at_nat > set_Pr1560408065st_nat).
3.32/0.99	thf(func_def_69, type, lexord1848469012e_form: set_Pr1189404964e_form > set_Pr31825690e_form).
3.32/0.99	thf(func_def_70, type, cons_n50929118le_U_o: (nat > list_P796095576elle_U > $o) > list_n2139828004le_U_o > list_n2139828004le_U_o).
3.32/0.99	thf(func_def_71, type, cons_list_nat: list_nat > list_list_nat > list_list_nat).
3.32/0.99	thf(func_def_72, type, cons_l1379921697e_form: list_P512754263e_form > list_l461858535e_form > list_l461858535e_form).
3.32/0.99	thf(func_def_73, type, cons_nat: nat > list_nat > list_nat).
3.32/0.99	thf(func_def_74, type, cons_P1475164433e_form: prover1687215943e_form > list_P512754263e_form > list_P512754263e_form).
3.32/0.99	thf(func_def_75, type, cons_s32021736elle_U: set_Pr619177522elle_U > list_s1200803384elle_U > list_s1200803384elle_U).
3.32/0.99	thf(func_def_76, type, nil_na1584420238le_U_o: list_n2139828004le_U_o).
3.32/0.99	thf(func_def_77, type, nil_list_nat: list_list_nat).
3.32/0.99	thf(func_def_78, type, nil_li1393862353e_form: list_l461858535e_form).
3.32/0.99	thf(func_def_79, type, nil_nat: list_nat).
3.32/0.99	thf(func_def_80, type, nil_Pr1384483009e_form: list_P512754263e_form).
3.32/0.99	thf(func_def_81, type, nil_se944326968elle_U: list_s1200803384elle_U).
3.32/0.99	thf(func_def_82, type, set_list_nat2: list_list_nat > set_list_nat).
3.32/0.99	thf(func_def_83, type, set_li1219651714e_form: list_l461858535e_form > set_li5074317e_form).
3.32/0.99	thf(func_def_84, type, set_nat2: list_nat > set_nat).
3.32/0.99	thf(func_def_85, type, set_Pr1105237746e_form: list_P512754263e_form > set_Pr554570749e_form).
3.32/0.99	thf(func_def_86, type, list_ex1_nat: (nat > $o) > list_nat > $o).
3.32/0.99	thf(func_def_87, type, list_e2123636798e_form: (prover1687215943e_form > $o) > list_P512754263e_form > $o).
3.32/0.99	thf(func_def_88, type, listrel1_nat: set_Pr1986765409at_nat > set_Pr1560408065st_nat).
3.32/0.99	thf(func_def_89, type, listre502458152e_form: set_Pr1189404964e_form > set_Pr31825690e_form).
3.32/0.99	thf(func_def_90, type, listrel_nat_nat: set_Pr1986765409at_nat > set_Pr1560408065st_nat).
3.32/0.99	thf(func_def_91, type, listre318297994e_form: set_Pr816919384e_form > set_Pr1174364408e_form).
3.32/0.99	thf(func_def_92, type, listre483706378rm_nat: set_Pr957084504rm_nat > set_Pr1057005944st_nat).
3.32/0.99	thf(func_def_93, type, listre1908795590e_form: set_Pr1189404964e_form > set_Pr31825690e_form).
3.32/0.99	thf(func_def_94, type, listre290852044le_U_o: set_Pr1072215906le_U_o > set_Pr2099245410le_U_o).
3.32/0.99	thf(func_def_95, type, maps_nat_nat: (nat > list_nat) > list_nat > list_nat).
3.32/0.99	thf(func_def_96, type, maps_n1383976154e_form: (nat > list_P512754263e_form) > list_nat > list_P512754263e_form).
3.32/0.99	thf(func_def_97, type, maps_P1549384538rm_nat: (prover1687215943e_form > list_nat) > list_P512754263e_form > list_nat).
3.32/0.99	thf(func_def_98, type, maps_P2058952566e_form: (prover1687215943e_form > list_P512754263e_form) > list_P512754263e_form > list_P512754263e_form).
3.32/0.99	thf(func_def_99, type, product_lists_nat: list_list_nat > list_list_nat).
3.32/0.99	thf(func_def_100, type, produc168439576e_form: list_l461858535e_form > list_l461858535e_form).
3.32/0.99	thf(func_def_101, type, rotate1_nat: list_nat > list_nat).
3.32/0.99	thf(func_def_102, type, rotate650061876e_form: list_P512754263e_form > list_P512754263e_form).
3.32/0.99	thf(func_def_103, type, subseqs_nat: list_nat > list_list_nat).
3.32/0.99	thf(func_def_104, type, subseq1471997234e_form: list_P512754263e_form > list_l461858535e_form).
3.32/0.99	thf(func_def_105, type, produc939441135st_nat: (nat > nat > $o) > list_nat > produc890077173st_nat).
3.32/0.99	thf(func_def_106, type, produc54611594e_form: (prover1687215943e_form > prover1687215943e_form > $o) > list_P512754263e_form > produc957084248e_form).
3.32/0.99	thf(func_def_107, type, produc1625736153st_nat: list_nat > list_nat > produc1699244961st_nat).
3.32/0.99	thf(func_def_108, type, produc1617574096e_form: list_nat > list_P512754263e_form > produc1494932632e_form).
3.32/0.99	thf(func_def_109, type, produc1897654224st_nat: list_P512754263e_form > list_nat > produc1473535256st_nat).
3.32/0.99	thf(func_def_110, type, produc891809686e_form: list_P512754263e_form > list_P512754263e_form > produc791938916e_form).
3.32/0.99	thf(func_def_111, type, produc1377086578le_U_o: list_s1200803384elle_U > list_n2139828004le_U_o > produc622718850le_U_o).
3.32/0.99	thf(func_def_112, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat).
3.32/0.99	thf(func_def_113, type, produc876465968e_form: nat > prover1687215943e_form > produc1296622072e_form).
3.32/0.99	thf(func_def_114, type, produc1041874352rm_nat: prover1687215943e_form > nat > produc117678584rm_nat).
3.32/0.99	thf(func_def_115, type, produc1018812320e_form: prover1687215943e_form > prover1687215943e_form > produc825256814e_form).
3.32/0.99	thf(func_def_116, type, produc1069574002le_U_o: set_Pr619177522elle_U > (nat > list_P796095576elle_U > $o) > produc227817602le_U_o).
3.32/0.99	thf(func_def_117, type, prover1282070756_SEval: produc227817602le_U_o > (nat > prover_Mirabelle_U) > list_P512754263e_form > $o).
3.32/0.99	thf(func_def_118, type, prover1539709396Svalid: list_P512754263e_form > $o).
3.32/0.99	thf(func_def_119, type, prover1577896257_finst: prover1687215943e_form > nat > prover1687215943e_form).
3.32/0.99	thf(func_def_120, type, prover886976490en_nat: list_list_nat > list_nat).
3.32/0.99	thf(func_def_121, type, prover542312166e_form: list_l461858535e_form > list_P512754263e_form).
3.32/0.99	thf(func_def_122, type, prover571163162e_FAll: prover1687215943e_form > prover1687215943e_form).
3.32/0.99	thf(func_def_123, type, prover_Mirabelle_fv: prover1687215943e_form > list_nat).
3.32/0.99	thf(func_def_124, type, prover1847600056is_env: produc227817602le_U_o > (nat > prover_Mirabelle_U) > $o).
3.32/0.99	thf(func_def_125, type, prover1021675886maxvar: list_nat > nat).
3.32/0.99	thf(func_def_126, type, prover2096325705preSuc: list_nat > list_nat).
3.32/0.99	thf(func_def_127, type, prover_Mirabelle_sfv: list_P512754263e_form > list_nat).
3.32/0.99	thf(func_def_128, type, irrefl_nat: set_Pr1986765409at_nat > $o).
3.32/0.99	thf(func_def_129, type, irrefl2121388754e_form: set_Pr1189404964e_form > $o).
3.32/0.99	thf(func_def_130, type, collect_nat: (nat > $o) > set_nat).
3.32/0.99	thf(func_def_131, type, the_elem_nat: set_nat > nat).
3.32/0.99	thf(func_def_132, type, the_el969789074e_form: set_Pr554570749e_form > prover1687215943e_form).
3.32/0.99	thf(func_def_133, type, member_list_nat: list_nat > set_list_nat > $o).
3.32/0.99	thf(func_def_134, type, member1828782574e_form: list_P512754263e_form > set_li5074317e_form > $o).
3.32/0.99	thf(func_def_135, type, member_nat: nat > set_nat > $o).
3.32/0.99	thf(func_def_136, type, member1926390090st_nat: produc1699244961st_nat > set_Pr1560408065st_nat > $o).
3.32/0.99	thf(func_def_137, type, member1471151041e_form: produc1494932632e_form > set_Pr1174364408e_form > $o).
3.32/0.99	thf(func_def_138, type, member1449753665st_nat: produc1473535256st_nat > set_Pr1057005944st_nat > $o).
3.32/0.99	thf(func_def_139, type, member650892795e_form: produc791938916e_form > set_Pr31825690e_form > $o).
3.32/0.99	thf(func_def_140, type, member493452075le_U_o: produc622718850le_U_o > set_Pr2099245410le_U_o > $o).
3.32/0.99	thf(func_def_141, type, member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o).
3.32/0.99	thf(func_def_142, type, member18158113e_form: produc1296622072e_form > set_Pr816919384e_form > $o).
3.32/0.99	thf(func_def_143, type, member986698273rm_nat: produc117678584rm_nat > set_Pr957084504rm_nat > $o).
3.32/0.99	thf(func_def_144, type, member189065477e_form: produc825256814e_form > set_Pr1189404964e_form > $o).
3.32/0.99	thf(func_def_145, type, member1933006123le_U_o: produc227817602le_U_o > set_Pr1072215906le_U_o > $o).
3.32/0.99	thf(func_def_146, type, member1793840734e_form: prover1687215943e_form > set_Pr554570749e_form > $o).
3.32/0.99	thf(func_def_147, type, a: set_Pr619177522elle_U).
3.32/0.99	thf(func_def_148, type, b: nat > list_P796095576elle_U > $o).
3.32/0.99	thf(func_def_149, type, f: prover1687215943e_form).
3.32/0.99	thf(func_def_150, type, s: list_P512754263e_form).
3.32/0.99	thf(func_def_151, type, u: nat).
3.32/0.99	thf(func_def_153, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
3.32/0.99	thf(func_def_156, type, vIMP: $o > $o > $o).
3.32/0.99	thf(func_def_157, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)).
3.32/0.99	thf(func_def_158, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
3.32/0.99	thf(func_def_159, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
3.32/0.99	thf(func_def_160, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
3.32/0.99	thf(func_def_161, type, vAND: $o > $o > $o).
3.32/0.99	thf(func_def_162, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
3.32/0.99	thf(func_def_163, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
3.32/0.99	thf(func_def_164, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
3.32/0.99	thf(func_def_165, type, vNOT: $o > $o).
3.32/0.99	thf(func_def_166, type, vOR: $o > $o > $o).
3.32/0.99	thf(func_def_167, type, sK0: nat > prover_Mirabelle_U).
3.32/0.99	thf(func_def_168, type, sK1: ((prover1687215943e_form > prover1687215943e_form) > list_P512754263e_form > list_P512754263e_form > $o) > prover1687215943e_form > prover1687215943e_form).
3.32/0.99	thf(func_def_169, type, sK2: ((prover1687215943e_form > prover1687215943e_form) > list_P512754263e_form > list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_170, type, sK3: ((prover1687215943e_form > prover1687215943e_form) > list_P512754263e_form > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_171, type, sK4: ((prover1687215943e_form > prover1687215943e_form) > list_P512754263e_form > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_172, type, sK5: ((prover1687215943e_form > prover1687215943e_form) > list_P512754263e_form > list_P512754263e_form > $o) > prover1687215943e_form > prover1687215943e_form).
3.32/0.99	thf(func_def_173, type, sK6: ((prover1687215943e_form > prover1687215943e_form) > list_P512754263e_form > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_174, type, sK7: ((nat > prover1687215943e_form) > list_nat > list_P512754263e_form > $o) > nat > prover1687215943e_form).
3.32/0.99	thf(func_def_175, type, sK8: ((nat > prover1687215943e_form) > list_nat > list_P512754263e_form > $o) > nat).
3.32/0.99	thf(func_def_176, type, sK9: ((nat > prover1687215943e_form) > list_nat > list_P512754263e_form > $o) > list_nat).
3.32/0.99	thf(func_def_177, type, sK10: ((nat > prover1687215943e_form) > list_nat > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_178, type, sK11: ((nat > prover1687215943e_form) > list_nat > list_P512754263e_form > $o) > nat > prover1687215943e_form).
3.32/0.99	thf(func_def_179, type, sK12: ((nat > prover1687215943e_form) > list_nat > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_180, type, sK13: ((prover1687215943e_form > nat) > list_P512754263e_form > list_nat > $o) > prover1687215943e_form > nat).
3.32/0.99	thf(func_def_181, type, sK14: ((prover1687215943e_form > nat) > list_P512754263e_form > list_nat > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_182, type, sK15: ((prover1687215943e_form > nat) > list_P512754263e_form > list_nat > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_183, type, sK16: ((prover1687215943e_form > nat) > list_P512754263e_form > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_184, type, sK17: ((prover1687215943e_form > nat) > list_P512754263e_form > list_nat > $o) > prover1687215943e_form > nat).
3.32/0.99	thf(func_def_185, type, sK18: ((prover1687215943e_form > nat) > list_P512754263e_form > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_186, type, sK19: (list_P512754263e_form > list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_187, type, sK20: (list_P512754263e_form > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_188, type, sK21: (list_P512754263e_form > list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_189, type, sK22: (list_P512754263e_form > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_190, type, sK23: (list_P512754263e_form > list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_191, type, sK24: (list_P512754263e_form > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_192, type, sK25: (list_P512754263e_form > list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_193, type, sK26: (list_P512754263e_form > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_194, type, sK27: (list_nat > list_P512754263e_form > $o) > nat).
3.32/0.99	thf(func_def_195, type, sK28: (list_nat > list_P512754263e_form > $o) > list_nat).
3.32/0.99	thf(func_def_196, type, sK29: (list_nat > list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_197, type, sK30: (list_nat > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_198, type, sK31: (list_nat > list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_199, type, sK32: (list_nat > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_200, type, sK33: (list_nat > list_P512754263e_form > $o) > nat).
3.32/0.99	thf(func_def_201, type, sK34: (list_nat > list_P512754263e_form > $o) > list_nat).
3.32/0.99	thf(func_def_202, type, sK35: (list_P512754263e_form > list_nat > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_203, type, sK36: (list_P512754263e_form > list_nat > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_204, type, sK37: (list_P512754263e_form > list_nat > $o) > nat).
3.32/0.99	thf(func_def_205, type, sK38: (list_P512754263e_form > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_206, type, sK39: (list_P512754263e_form > list_nat > $o) > nat).
3.32/0.99	thf(func_def_207, type, sK40: (list_P512754263e_form > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_208, type, sK41: (list_P512754263e_form > list_nat > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_209, type, sK42: (list_P512754263e_form > list_nat > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_210, type, sK43: ((prover1687215943e_form > prover1687215943e_form > $o) > list_P512754263e_form > $o) > prover1687215943e_form > prover1687215943e_form > $o).
3.32/0.99	thf(func_def_211, type, sK44: ((prover1687215943e_form > prover1687215943e_form > $o) > list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_212, type, sK45: ((prover1687215943e_form > prover1687215943e_form > $o) > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_213, type, sK46: ((prover1687215943e_form > prover1687215943e_form > $o) > list_P512754263e_form > $o) > prover1687215943e_form > prover1687215943e_form > $o).
3.32/0.99	thf(func_def_214, type, sK47: ((prover1687215943e_form > prover1687215943e_form > $o) > list_P512754263e_form > $o) > prover1687215943e_form > prover1687215943e_form > $o).
3.32/0.99	thf(func_def_215, type, sK48: ((prover1687215943e_form > prover1687215943e_form > $o) > list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_216, type, sK49: ((prover1687215943e_form > prover1687215943e_form > $o) > list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_217, type, sK50: ((prover1687215943e_form > prover1687215943e_form > $o) > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_218, type, sK51: ((prover1687215943e_form > prover1687215943e_form > $o) > list_P512754263e_form > $o) > prover1687215943e_form > prover1687215943e_form > $o).
3.32/0.99	thf(func_def_219, type, sK52: ((prover1687215943e_form > prover1687215943e_form > $o) > list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_220, type, sK53: ((prover1687215943e_form > prover1687215943e_form > $o) > list_P512754263e_form > $o) > prover1687215943e_form > prover1687215943e_form > $o).
3.32/0.99	thf(func_def_221, type, sK54: (list_P512754263e_form > list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_222, type, sK55: (list_P512754263e_form > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_223, type, sK56: (list_P512754263e_form > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_224, type, sK57: (list_P512754263e_form > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_225, type, sK58: (list_P512754263e_form > list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_226, type, sK59: (list_P512754263e_form > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_227, type, sK60: (list_P512754263e_form > list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_228, type, sK61: (list_P512754263e_form > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_229, type, sK62: (list_P512754263e_form > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_230, type, sK63: (list_P512754263e_form > list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_231, type, sK64: (list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_232, type, sK65: (list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_233, type, sK66: (list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_234, type, sK67: (list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_235, type, sK68: (list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_236, type, sK69: (list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_237, type, sK70: (list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_238, type, sK71: (list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_239, type, sK72: (list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_240, type, sK73: (list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_241, type, sK74: (list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_242, type, sK75: (list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_243, type, sK76: (list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_244, type, sK77: (list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_245, type, sK78: (list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_246, type, sK79: (list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_247, type, sK80: (list_P512754263e_form > $o) > list_P512754263e_form).
3.32/0.99	thf(func_def_248, type, sK81: (list_P512754263e_form > $o) > prover1687215943e_form).
3.32/0.99	thf(func_def_249, type, sK82: list_P512754263e_form > list_P512754263e_form).
3.32/0.99	thf(func_def_250, type, sK83: list_P512754263e_form > prover1687215943e_form).
3.32/0.99	thf(func_def_251, type, sK84: list_P512754263e_form > prover1687215943e_form).
3.32/0.99	thf(func_def_252, type, sK85: list_P512754263e_form > list_P512754263e_form).
3.32/0.99	thf(func_def_253, type, sK86: list_P512754263e_form > prover1687215943e_form).
3.32/0.99	thf(func_def_254, type, sK87: list_P512754263e_form > prover1687215943e_form).
3.32/0.99	thf(func_def_255, type, sK88: list_P512754263e_form > list_P512754263e_form).
3.32/0.99	thf(func_def_256, type, sK89: list_P512754263e_form > prover1687215943e_form).
3.32/0.99	thf(func_def_257, type, sK90: (produc227817602le_U_o > $o) > set_Pr619177522elle_U).
3.32/0.99	thf(func_def_258, type, sK91: (produc227817602le_U_o > $o) > nat > list_P796095576elle_U > $o).
3.32/0.99	thf(func_def_259, type, sK92: (produc227817602le_U_o > $o) > set_Pr619177522elle_U).
3.32/0.99	thf(func_def_260, type, sK93: (produc227817602le_U_o > $o) > nat > list_P796095576elle_U > $o).
3.32/0.99	thf(func_def_261, type, sK94: produc227817602le_U_o > set_Pr619177522elle_U).
3.32/0.99	thf(func_def_262, type, sK95: produc227817602le_U_o > nat > list_P796095576elle_U > $o).
3.32/0.99	thf(func_def_263, type, sK96: produc227817602le_U_o > set_Pr619177522elle_U).
3.32/0.99	thf(func_def_264, type, sK97: produc227817602le_U_o > nat > list_P796095576elle_U > $o).
3.32/0.99	thf(func_def_265, type, sK98: (nat > prover_Mirabelle_U) > (nat > prover_Mirabelle_U) > list_P512754263e_form > nat).
3.32/0.99	thf(func_def_266, type, sK99: ((nat > nat) > list_nat > list_nat > $o) > nat > nat).
3.32/0.99	thf(func_def_267, type, sK100: ((nat > nat) > list_nat > list_nat > $o) > nat).
3.32/0.99	thf(func_def_268, type, sK101: ((nat > nat) > list_nat > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_269, type, sK102: ((nat > nat) > list_nat > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_270, type, sK103: ((nat > nat) > list_nat > list_nat > $o) > nat > nat).
3.32/0.99	thf(func_def_271, type, sK104: ((nat > nat) > list_nat > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_272, type, sK105: (list_nat > list_nat > $o) > nat).
3.32/0.99	thf(func_def_273, type, sK106: (list_nat > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_274, type, sK107: (list_nat > list_nat > $o) > nat).
3.32/0.99	thf(func_def_275, type, sK108: (list_nat > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_276, type, sK109: (list_nat > list_nat > $o) > nat).
3.32/0.99	thf(func_def_277, type, sK110: (list_nat > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_278, type, sK111: (list_nat > list_nat > $o) > nat).
3.32/0.99	thf(func_def_279, type, sK112: (list_nat > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_280, type, sK113: ((nat > nat > $o) > list_nat > $o) > nat > nat > $o).
3.32/0.99	thf(func_def_281, type, sK114: ((nat > nat > $o) > list_nat > $o) > nat).
3.32/0.99	thf(func_def_282, type, sK115: ((nat > nat > $o) > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_283, type, sK116: ((nat > nat > $o) > list_nat > $o) > nat > nat > $o).
3.32/0.99	thf(func_def_284, type, sK117: ((nat > nat > $o) > list_nat > $o) > nat > nat > $o).
3.32/0.99	thf(func_def_285, type, sK118: ((nat > nat > $o) > list_nat > $o) > nat).
3.32/0.99	thf(func_def_286, type, sK119: ((nat > nat > $o) > list_nat > $o) > nat).
3.32/0.99	thf(func_def_287, type, sK120: ((nat > nat > $o) > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_288, type, sK121: ((nat > nat > $o) > list_nat > $o) > nat > nat > $o).
3.32/0.99	thf(func_def_289, type, sK122: ((nat > nat > $o) > list_nat > $o) > nat).
3.32/0.99	thf(func_def_290, type, sK123: ((nat > nat > $o) > list_nat > $o) > nat > nat > $o).
3.32/0.99	thf(func_def_291, type, sK124: (list_nat > list_nat > $o) > nat).
3.32/0.99	thf(func_def_292, type, sK125: (list_nat > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_293, type, sK126: (list_nat > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_294, type, sK127: (list_nat > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_295, type, sK128: (list_nat > list_nat > $o) > nat).
3.32/0.99	thf(func_def_296, type, sK129: (list_nat > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_297, type, sK130: (list_nat > list_nat > $o) > nat).
3.32/0.99	thf(func_def_298, type, sK131: (list_nat > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_299, type, sK132: (list_nat > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_300, type, sK133: (list_nat > list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_301, type, sK134: (list_nat > $o) > nat).
3.32/0.99	thf(func_def_302, type, sK135: (list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_303, type, sK136: (list_nat > $o) > nat).
3.32/0.99	thf(func_def_304, type, sK137: (list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_305, type, sK138: (list_nat > $o) > nat).
3.32/0.99	thf(func_def_306, type, sK139: (list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_307, type, sK140: (list_nat > $o) > nat).
3.32/0.99	thf(func_def_308, type, sK141: (list_nat > $o) > nat).
3.32/0.99	thf(func_def_309, type, sK142: (list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_310, type, sK143: (list_nat > $o) > nat).
3.32/0.99	thf(func_def_311, type, sK144: (list_nat > $o) > nat).
3.32/0.99	thf(func_def_312, type, sK145: (list_nat > $o) > nat).
3.32/0.99	thf(func_def_313, type, sK146: (list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_314, type, sK147: (list_nat > $o) > nat).
3.32/0.99	thf(func_def_315, type, sK148: (list_nat > $o) > nat).
3.32/0.99	thf(func_def_316, type, sK149: (list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_317, type, sK150: (list_nat > $o) > nat).
3.32/0.99	thf(func_def_318, type, sK151: (list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_319, type, sK152: (list_nat > $o) > nat).
3.32/0.99	thf(func_def_320, type, sK153: (list_nat > $o) > nat).
3.32/0.99	thf(func_def_321, type, sK154: (list_nat > $o) > list_nat).
3.32/0.99	thf(func_def_322, type, sK155: (list_nat > $o) > nat).
3.32/0.99	thf(func_def_323, type, sK156: list_nat > nat).
3.32/0.99	thf(func_def_324, type, sK157: list_nat > list_nat).
3.32/0.99	thf(func_def_325, type, sK158: list_nat > list_nat).
3.32/0.99	thf(func_def_326, type, sK159: list_nat > nat).
3.32/0.99	thf(func_def_327, type, sK160: list_nat > nat).
3.32/0.99	thf(func_def_328, type, sK161: list_nat > list_nat).
3.32/0.99	thf(func_def_329, type, sK162: list_nat > nat).
3.32/0.99	thf(func_def_330, type, sK163: list_nat > list_nat).
3.32/0.99	thf(func_def_331, type, sK164: list_nat > nat).
3.32/0.99	thf(func_def_332, type, sK165: list_nat > nat).
3.32/0.99	thf(func_def_333, type, sK166: list_nat > list_nat).
3.32/0.99	thf(func_def_334, type, sK167: list_nat > nat).
3.32/0.99	thf(func_def_335, type, sK168: list_nat > nat > list_nat).
3.32/0.99	thf(func_def_336, type, sK169: list_nat > nat > list_nat).
3.32/0.99	thf(func_def_337, type, sK170: list_nat > nat > list_nat).
3.32/0.99	thf(func_def_338, type, sK171: list_nat > nat > list_nat).
3.32/0.99	thf(func_def_339, type, sK172: list_nat > nat > list_nat).
3.32/0.99	thf(func_def_340, type, sK173: list_nat > nat > list_nat).
3.32/0.99	thf(func_def_341, type, sK174: list_nat > nat > nat).
3.32/0.99	thf(func_def_342, type, sK175: list_nat > nat > list_nat).
3.32/0.99	thf(func_def_343, type, sK176: list_nat > nat > list_nat).
3.32/0.99	thf(func_def_344, type, sK177: (nat > $o) > list_nat > list_nat).
3.32/0.99	thf(func_def_345, type, sK178: (nat > $o) > list_nat > nat).
3.32/0.99	thf(func_def_346, type, sK179: (nat > $o) > list_nat > list_nat).
3.32/0.99	thf(func_def_347, type, sK180: (nat > $o) > list_nat > list_nat).
3.32/0.99	thf(func_def_348, type, sK181: (nat > $o) > list_nat > nat).
3.32/0.99	thf(func_def_349, type, sK182: (nat > $o) > list_nat > list_nat).
3.32/0.99	thf(func_def_350, type, sK183: (nat > $o) > list_nat > list_nat).
3.32/0.99	thf(func_def_351, type, sK184: (nat > $o) > list_nat > nat).
3.32/0.99	thf(func_def_352, type, sK185: (nat > $o) > list_nat > list_nat).
3.32/0.99	thf(func_def_353, type, sK186: (nat > $o) > list_nat > list_nat).
3.32/0.99	thf(func_def_354, type, sK187: (nat > $o) > list_nat > nat).
3.32/0.99	thf(func_def_355, type, sK188: (nat > $o) > list_nat > list_nat).
3.32/0.99	thf(func_def_356, type, sK189: (nat > $o) > list_nat > list_nat).
3.32/0.99	thf(func_def_357, type, sK190: (nat > $o) > list_nat > nat).
3.32/0.99	thf(func_def_358, type, sK191: (nat > $o) > list_nat > list_nat).
3.32/0.99	thf(func_def_359, type, sK192: (nat > $o) > list_nat > list_nat).
3.32/0.99	thf(func_def_360, type, sK193: (nat > $o) > list_nat > nat).
3.32/0.99	thf(func_def_361, type, sK194: (nat > $o) > list_nat > list_nat).
3.32/0.99	thf(func_def_363, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
3.32/0.99	thf(func_def_367, type, sK196: nat > prover_Mirabelle_U).
3.32/0.99	thf(func_def_368, type, sK197: produc227817602le_U_o).
3.32/0.99	thf(f1666,plain,(
3.32/0.99	  $false),
3.32/0.99	  inference(avatar_sat_refutation,[],[f1530,f1535,f1654,f1665])).
3.32/0.99	thf(f1665,plain,(
3.32/0.99	  ~spl195_1 | ~spl195_3),
3.32/0.99	  inference(avatar_contradiction_clause,[],[f1664])).
3.32/0.99	thf(f1664,plain,(
3.32/0.99	  $false | (~spl195_1 | ~spl195_3)),
3.32/0.99	  inference(trivial_inequality_removal,[],[f1663])).
3.32/0.99	thf(f1663,plain,(
3.32/0.99	  ($true = $false) | (~spl195_1 | ~spl195_3)),
3.32/0.99	  inference(forward_demodulation,[],[f1662,f1526])).
3.32/0.99	thf(f1526,plain,(
3.32/0.99	  ($false = (((prover1282070756_SEval @ sK197) @ sK196) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form)))) | ~spl195_1),
3.32/0.99	  inference(avatar_component_clause,[],[f1524])).
3.32/0.99	thf(f1524,plain,(
3.32/0.99	  spl195_1 <=> ($false = (((prover1282070756_SEval @ sK197) @ sK196) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form))))),
3.32/0.99	  introduced(avatar_definition,[new_symbols(naming,[spl195_1])])).
3.32/0.99	thf(f1662,plain,(
3.32/0.99	  ($true = (((prover1282070756_SEval @ sK197) @ sK196) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form)))) | ~spl195_3),
3.32/0.99	  inference(trivial_inequality_removal,[],[f1661])).
3.32/0.99	thf(f1661,plain,(
3.32/0.99	  ($true != $true) | ($true = (((prover1282070756_SEval @ sK197) @ sK196) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form)))) | ~spl195_3),
3.32/0.99	  inference(superposition,[],[f1655,f1534])).
3.32/0.99	thf(f1534,plain,(
3.32/0.99	  ($true = ((prover1847600056is_env @ sK197) @ sK196)) | ~spl195_3),
3.32/0.99	  inference(avatar_component_clause,[],[f1532])).
3.32/0.99	thf(f1532,plain,(
3.32/0.99	  spl195_3 <=> ($true = ((prover1847600056is_env @ sK197) @ sK196))),
3.32/0.99	  introduced(avatar_definition,[new_symbols(naming,[spl195_3])])).
3.32/0.99	thf(f1655,plain,(
3.32/0.99	  ( ! [X0 : produc227817602le_U_o,X1 : nat > prover_Mirabelle_U] : (($true != ((prover1847600056is_env @ X0) @ X1)) | ($true = (((prover1282070756_SEval @ X0) @ X1) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form))))) )),
3.32/0.99	  inference(superposition,[],[f1182,f1236])).
3.32/0.99	thf(f1236,plain,(
3.32/0.99	  ( ! [X0 : produc227817602le_U_o] : ((((produc1069574002le_U_o @ (sK94 @ X0)) @ (sK95 @ X0)) = X0)) )),
3.32/0.99	  inference(cnf_transformation,[],[f1079])).
3.32/0.99	thf(f1079,plain,(
3.32/0.99	  ! [X0 : produc227817602le_U_o] : (((produc1069574002le_U_o @ (sK94 @ X0)) @ (sK95 @ X0)) = X0)),
3.32/0.99	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK94,sK95])],[f850,f1078])).
3.32/0.99	thf(f1078,plain,(
3.32/0.99	  ! [X0 : produc227817602le_U_o] : (? [X1 : set_Pr619177522elle_U,X2 : nat > list_P796095576elle_U > $o] : (((produc1069574002le_U_o @ X1) @ X2) = X0) => (((produc1069574002le_U_o @ (sK94 @ X0)) @ (sK95 @ X0)) = X0))),
3.32/0.99	  introduced(choice_axiom,[])).
3.32/0.99	thf(f850,plain,(
3.32/0.99	  ! [X0 : produc227817602le_U_o] : ? [X1 : set_Pr619177522elle_U,X2 : nat > list_P796095576elle_U > $o] : (((produc1069574002le_U_o @ X1) @ X2) = X0)),
3.32/0.99	  inference(rectify,[],[f3])).
3.32/0.99	thf(f3,axiom,(
3.32/0.99	  ! [X5 : produc227817602le_U_o] : ? [X2 : set_Pr619177522elle_U,X3 : nat > list_P796095576elle_U > $o] : (((produc1069574002le_U_o @ X2) @ X3) = X5)),
3.32/0.99	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193_surj__pair)).
3.32/0.99	thf(f1182,plain,(
3.32/0.99	  ( ! [X2 : nat > prover_Mirabelle_U,X0 : set_Pr619177522elle_U,X1 : nat > list_P796095576elle_U > $o] : (($true != ((prover1847600056is_env @ ((produc1069574002le_U_o @ X0) @ X1)) @ X2)) | ($true = (((prover1282070756_SEval @ ((produc1069574002le_U_o @ X0) @ X1)) @ X2) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form))))) )),
3.32/0.99	  inference(cnf_transformation,[],[f889])).
3.32/0.99	thf(f889,plain,(
3.32/0.99	  ! [X0 : set_Pr619177522elle_U,X1 : nat > list_P796095576elle_U > $o,X2 : nat > prover_Mirabelle_U] : (($true = (((prover1282070756_SEval @ ((produc1069574002le_U_o @ X0) @ X1)) @ X2) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form)))) | ($true != ((prover1847600056is_env @ ((produc1069574002le_U_o @ X0) @ X1)) @ X2)))),
3.32/0.99	  inference(ennf_transformation,[],[f368])).
3.32/0.99	thf(f368,plain,(
3.32/0.99	  ! [X0 : set_Pr619177522elle_U,X1 : nat > list_P796095576elle_U > $o,X2 : nat > prover_Mirabelle_U] : (($true = ((prover1847600056is_env @ ((produc1069574002le_U_o @ X0) @ X1)) @ X2)) => ($true = (((prover1282070756_SEval @ ((produc1069574002le_U_o @ X0) @ X1)) @ X2) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form)))))),
3.32/0.99	  inference(fool_elimination,[],[f367])).
3.32/0.99	thf(f367,plain,(
3.32/0.99	  ! [X0 : set_Pr619177522elle_U,X1 : nat > list_P796095576elle_U > $o,X2 : nat > prover_Mirabelle_U] : (((prover1847600056is_env @ ((produc1069574002le_U_o @ X0) @ X1)) @ X2) => (((prover1282070756_SEval @ ((produc1069574002le_U_o @ X0) @ X1)) @ X2) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form))))),
3.32/0.99	  inference(rectify,[],[f8])).
3.32/0.99	thf(f8,axiom,(
3.32/0.99	  ! [X16 : set_Pr619177522elle_U,X17 : nat > list_P796095576elle_U > $o,X18 : nat > prover_Mirabelle_U] : (((prover1847600056is_env @ ((produc1069574002le_U_o @ X16) @ X17)) @ X18) => (((prover1282070756_SEval @ ((produc1069574002le_U_o @ X16) @ X17)) @ X18) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form))))),
3.32/0.99	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
3.32/0.99	thf(f1654,plain,(
3.32/0.99	  ~spl195_2),
3.32/0.99	  inference(avatar_contradiction_clause,[],[f1653])).
3.32/0.99	thf(f1653,plain,(
3.32/0.99	  $false | ~spl195_2),
3.32/0.99	  inference(trivial_inequality_removal,[],[f1649])).
3.32/0.99	thf(f1649,plain,(
3.32/0.99	  ($true = $false) | ~spl195_2),
3.32/0.99	  inference(superposition,[],[f1604,f1180])).
3.32/0.99	thf(f1180,plain,(
3.32/0.99	  ($true = ((prover1847600056is_env @ ((produc1069574002le_U_o @ a) @ b)) @ sK0))),
3.32/0.99	  inference(cnf_transformation,[],[f1000])).
3.32/0.99	thf(f1000,plain,(
3.32/0.99	  ($true = ((prover1847600056is_env @ ((produc1069574002le_U_o @ a) @ b)) @ sK0)) & ($true != (((prover1282070756_SEval @ ((produc1069574002le_U_o @ a) @ b)) @ sK0) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))),
3.32/0.99	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f888,f999])).
3.32/0.99	thf(f999,plain,(
3.32/0.99	  ? [X0 : nat > prover_Mirabelle_U] : (($true = ((prover1847600056is_env @ ((produc1069574002le_U_o @ a) @ b)) @ X0)) & ($true != (((prover1282070756_SEval @ ((produc1069574002le_U_o @ a) @ b)) @ X0) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))) => (($true = ((prover1847600056is_env @ ((produc1069574002le_U_o @ a) @ b)) @ sK0)) & ($true != (((prover1282070756_SEval @ ((produc1069574002le_U_o @ a) @ b)) @ sK0) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s))))),
3.32/0.99	  introduced(choice_axiom,[])).
3.32/0.99	thf(f888,plain,(
3.32/0.99	  ? [X0 : nat > prover_Mirabelle_U] : (($true = ((prover1847600056is_env @ ((produc1069574002le_U_o @ a) @ b)) @ X0)) & ($true != (((prover1282070756_SEval @ ((produc1069574002le_U_o @ a) @ b)) @ X0) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s))))),
3.32/0.99	  inference(ennf_transformation,[],[f839])).
3.32/0.99	thf(f839,plain,(
3.32/0.99	  ~! [X0 : nat > prover_Mirabelle_U] : (($true != ((prover1847600056is_env @ ((produc1069574002le_U_o @ a) @ b)) @ X0)) | ($true = (((prover1282070756_SEval @ ((produc1069574002le_U_o @ a) @ b)) @ X0) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s))))),
3.32/0.99	  inference(flattening,[],[f364])).
3.32/0.99	thf(f364,plain,(
3.32/0.99	  ~! [X0 : nat > prover_Mirabelle_U] : (~($true = ((prover1847600056is_env @ ((produc1069574002le_U_o @ a) @ b)) @ X0)) | ($true = (((prover1282070756_SEval @ ((produc1069574002le_U_o @ a) @ b)) @ X0) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s))))),
3.32/0.99	  inference(fool_elimination,[],[f363])).
3.32/0.99	thf(f363,plain,(
3.32/0.99	  ~! [X0 : nat > prover_Mirabelle_U] : (~((prover1847600056is_env @ ((produc1069574002le_U_o @ a) @ b)) @ X0) | (((prover1282070756_SEval @ ((produc1069574002le_U_o @ a) @ b)) @ X0) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))),
3.32/0.99	  inference(rectify,[],[f73])).
3.32/0.99	thf(f73,negated_conjecture,(
3.32/0.99	  ~! [X50 : nat > prover_Mirabelle_U] : (~((prover1847600056is_env @ ((produc1069574002le_U_o @ a) @ b)) @ X50) | (((prover1282070756_SEval @ ((produc1069574002le_U_o @ a) @ b)) @ X50) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))),
3.32/0.99	  inference(negated_conjecture,[],[f72])).
3.32/0.99	thf(f72,conjecture,(
3.32/0.99	  ! [X50 : nat > prover_Mirabelle_U] : (~((prover1847600056is_env @ ((produc1069574002le_U_o @ a) @ b)) @ X50) | (((prover1282070756_SEval @ ((produc1069574002le_U_o @ a) @ b)) @ X50) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))),
3.32/0.99	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2)).
3.32/0.99	thf(f1604,plain,(
3.32/0.99	  ($false = ((prover1847600056is_env @ ((produc1069574002le_U_o @ a) @ b)) @ sK0)) | ~spl195_2),
3.32/0.99	  inference(trivial_inequality_removal,[],[f1579])).
3.32/0.99	thf(f1579,plain,(
3.32/0.99	  ($true != $true) | ($false = ((prover1847600056is_env @ ((produc1069574002le_U_o @ a) @ b)) @ sK0)) | ~spl195_2),
3.32/0.99	  inference(superposition,[],[f1179,f1529])).
3.32/0.99	thf(f1529,plain,(
3.32/0.99	  ( ! [X2 : produc227817602le_U_o,X1 : nat > prover_Mirabelle_U] : (($true = (((prover1282070756_SEval @ X2) @ X1) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s))) | ($false = ((prover1847600056is_env @ X2) @ X1))) ) | ~spl195_2),
3.32/0.99	  inference(avatar_component_clause,[],[f1528])).
3.32/0.99	thf(f1528,plain,(
3.32/0.99	  spl195_2 <=> ! [X1 : nat > prover_Mirabelle_U,X2 : produc227817602le_U_o] : (($false = ((prover1847600056is_env @ X2) @ X1)) | ($true = (((prover1282070756_SEval @ X2) @ X1) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s))))),
3.32/0.99	  introduced(avatar_definition,[new_symbols(naming,[spl195_2])])).
3.32/0.99	thf(f1179,plain,(
3.32/0.99	  ($true != (((prover1282070756_SEval @ ((produc1069574002le_U_o @ a) @ b)) @ sK0) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))),
3.32/0.99	  inference(cnf_transformation,[],[f1000])).
3.32/0.99	thf(f1535,plain,(
3.32/0.99	  spl195_3 | spl195_2),
3.32/0.99	  inference(avatar_split_clause,[],[f1522,f1528,f1532])).
3.32/0.99	thf(f1522,plain,(
3.32/0.99	  ( ! [X2 : produc227817602le_U_o,X1 : nat > prover_Mirabelle_U] : (($false = ((prover1847600056is_env @ X2) @ X1)) | ($true = ((prover1847600056is_env @ sK197) @ sK196)) | ($true = (((prover1282070756_SEval @ X2) @ X1) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))) )),
3.32/0.99	  inference(binary_proxy_clausification,[],[f1520])).
3.32/0.99	thf(f1520,plain,(
3.32/0.99	  ( ! [X2 : produc227817602le_U_o,X1 : nat > prover_Mirabelle_U] : (($false = ((prover1847600056is_env @ X2) @ X1)) | ($false = ((vIMP @ ((prover1847600056is_env @ sK197) @ sK196)) @ (((prover1282070756_SEval @ sK197) @ sK196) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form))))) | ($true = (((prover1282070756_SEval @ X2) @ X1) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))) )),
3.32/0.99	  inference(combinator_demodulation,[],[f1519])).
3.32/0.99	thf(f1519,plain,(
3.32/0.99	  ( ! [X2 : produc227817602le_U_o,X1 : nat > prover_Mirabelle_U] : (($false = ((prover1847600056is_env @ X2) @ X1)) | ($false = (((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ prover1847600056is_env) @ sK196))) @ ((cCOMB @ ((cCOMB @ prover1282070756_SEval) @ sK196)) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form)))) @ sK197)) | ($true = (((prover1282070756_SEval @ X2) @ X1) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))) )),
3.32/0.99	  inference(sigma_clausification,[],[f1518])).
3.32/0.99	thf(f1518,plain,(
3.32/0.99	  ( ! [X2 : produc227817602le_U_o,X1 : nat > prover_Mirabelle_U] : (($false = ((prover1847600056is_env @ X2) @ X1)) | ($false = (vPI(produc227817602le_U_o) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ prover1847600056is_env) @ sK196))) @ ((cCOMB @ ((cCOMB @ prover1282070756_SEval) @ sK196)) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form)))))) | ($true = (((prover1282070756_SEval @ X2) @ X1) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))) )),
3.32/0.99	  inference(combinator_demodulation,[],[f1517])).
3.32/0.99	thf(f1517,plain,(
3.32/0.99	  ( ! [X2 : produc227817602le_U_o,X1 : nat > prover_Mirabelle_U] : (($false = ((prover1847600056is_env @ X2) @ X1)) | ($false = (((bCOMB @ vPI(produc227817602le_U_o)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval))) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form))))) @ sK196)) | ($true = (((prover1282070756_SEval @ X2) @ X1) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))) )),
3.32/0.99	  inference(sigma_clausification,[],[f1516])).
3.32/0.99	thf(f1516,plain,(
3.32/0.99	  ( ! [X2 : produc227817602le_U_o,X1 : nat > prover_Mirabelle_U] : (($false = ((prover1847600056is_env @ X2) @ X1)) | ($true != (vPI(nat > prover_Mirabelle_U) @ ((bCOMB @ vPI(produc227817602le_U_o)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval))) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form))))))) | ($true = (((prover1282070756_SEval @ X2) @ X1) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))) )),
3.32/0.99	  inference(binary_proxy_clausification,[],[f1515])).
3.32/0.99	thf(f1515,plain,(
3.32/0.99	  ( ! [X2 : produc227817602le_U_o,X1 : nat > prover_Mirabelle_U] : (($true = ((vIMP @ ((prover1847600056is_env @ X2) @ X1)) @ (((prover1282070756_SEval @ X2) @ X1) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))) | ($true != (vPI(nat > prover_Mirabelle_U) @ ((bCOMB @ vPI(produc227817602le_U_o)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval))) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form)))))))) )),
3.32/0.99	  inference(combinator_demodulation,[],[f1514])).
3.32/0.99	thf(f1514,plain,(
3.32/0.99	  ( ! [X2 : produc227817602le_U_o,X1 : nat > prover_Mirabelle_U] : (($true = (((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ prover1847600056is_env) @ X1))) @ ((cCOMB @ ((cCOMB @ prover1282070756_SEval) @ X1)) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s))) @ X2)) | ($true != (vPI(nat > prover_Mirabelle_U) @ ((bCOMB @ vPI(produc227817602le_U_o)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval))) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form)))))))) )),
3.32/0.99	  inference(pi_clausification,[],[f1513])).
3.32/0.99	thf(f1513,plain,(
3.32/0.99	  ( ! [X1 : nat > prover_Mirabelle_U] : (($true = (vPI(produc227817602le_U_o) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ prover1847600056is_env) @ X1))) @ ((cCOMB @ ((cCOMB @ prover1282070756_SEval) @ X1)) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s))))) | ($true != (vPI(nat > prover_Mirabelle_U) @ ((bCOMB @ vPI(produc227817602le_U_o)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval))) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form)))))))) )),
3.32/0.99	  inference(combinator_demodulation,[],[f1512])).
3.32/0.99	thf(f1512,plain,(
3.32/0.99	  ( ! [X1 : nat > prover_Mirabelle_U] : (($true = (((bCOMB @ vPI(produc227817602le_U_o)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval))) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))) @ X1)) | ($true != (vPI(nat > prover_Mirabelle_U) @ ((bCOMB @ vPI(produc227817602le_U_o)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval))) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form)))))))) )),
3.32/0.99	  inference(pi_clausification,[],[f1511])).
3.32/0.99	thf(f1511,plain,(
3.32/0.99	  ($true = (vPI(nat > prover_Mirabelle_U) @ ((bCOMB @ vPI(produc227817602le_U_o)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval))) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))))) | ($true != (vPI(nat > prover_Mirabelle_U) @ ((bCOMB @ vPI(produc227817602le_U_o)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval))) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form)))))))),
3.32/0.99	  inference(trivial_inequality_removal,[],[f1482])).
3.32/0.99	thf(f1482,plain,(
3.32/0.99	  ($true != $true) | ($true = (vPI(nat > prover_Mirabelle_U) @ ((bCOMB @ vPI(produc227817602le_U_o)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval))) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))))) | ($true != (vPI(nat > prover_Mirabelle_U) @ ((bCOMB @ vPI(produc227817602le_U_o)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval))) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form)))))))),
3.32/0.99	  inference(superposition,[],[f1181,f1481])).
3.32/0.99	thf(f1481,plain,(
3.32/0.99	  ( ! [X2 : list_P512754263e_form,X0 : nat,X1 : prover1687215943e_form] : (($true = (vPI(nat > prover_Mirabelle_U) @ ((bCOMB @ vPI(produc227817602le_U_o)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval))) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X1)) @ X2)))))) | ($true != (vPI(nat > prover_Mirabelle_U) @ ((bCOMB @ vPI(produc227817602le_U_o)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval))) @ ((append1038020460e_form @ X2) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ X1) @ X0)) @ nil_Pr1384483009e_form))))))) | ($true = ((member_nat @ X0) @ (set_nat2 @ (prover_Mirabelle_sfv @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X1)) @ X2)))))) )),
3.32/0.99	  inference(combinator_demodulation,[],[f1420])).
3.32/0.99	thf(f1420,plain,(
3.32/0.99	  ( ! [X2 : list_P512754263e_form,X0 : nat,X1 : prover1687215943e_form] : (($true = (((bCOMB @ vPI(nat > prover_Mirabelle_U)) @ ((bCOMB @ (bCOMB @ vPI(produc227817602le_U_o))) @ ((bCOMB @ (sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env))))) @ (cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval)))))) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X1)) @ X2))) | ($true != (((bCOMB @ vPI(nat > prover_Mirabelle_U)) @ ((bCOMB @ (bCOMB @ vPI(produc227817602le_U_o))) @ ((bCOMB @ (sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env))))) @ (cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval)))))) @ ((append1038020460e_form @ X2) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ X1) @ X0)) @ nil_Pr1384483009e_form)))) | ($true = ((member_nat @ X0) @ (set_nat2 @ (prover_Mirabelle_sfv @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X1)) @ X2)))))) )),
3.32/0.99	  inference(definition_unfolding,[],[f1323,f1183,f1183])).
3.32/0.99	thf(f1183,plain,(
3.32/0.99	  (prover1539709396Svalid = ((bCOMB @ vPI(nat > prover_Mirabelle_U)) @ ((bCOMB @ (bCOMB @ vPI(produc227817602le_U_o))) @ ((bCOMB @ (sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env))))) @ (cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval)))))))),
3.32/0.99	  inference(cnf_transformation,[],[f370])).
3.32/0.99	thf(f370,plain,(
3.32/0.99	  (prover1539709396Svalid = ((bCOMB @ vPI(nat > prover_Mirabelle_U)) @ ((bCOMB @ (bCOMB @ vPI(produc227817602le_U_o))) @ ((bCOMB @ (sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ prover1847600056is_env))))) @ (cCOMB @ ((bCOMB @ cCOMB) @ (cCOMB @ prover1282070756_SEval)))))))),
3.32/0.99	  inference(fool_elimination,[],[f369])).
3.32/0.99	thf(f369,plain,(
3.32/0.99	  (prover1539709396Svalid = (^[X0 : list_P512754263e_form] : (! [X1 : produc227817602le_U_o,X2 : nat > prover_Mirabelle_U] : (((prover1847600056is_env @ X1) @ X2) => (((prover1282070756_SEval @ X1) @ X2) @ X0)))))),
3.32/0.99	  inference(rectify,[],[f206])).
3.32/0.99	thf(f206,axiom,(
3.32/0.99	  (prover1539709396Svalid = (^[X80 : list_P512754263e_form] : (! [X81 : produc227817602le_U_o,X82 : nat > prover_Mirabelle_U] : (((prover1847600056is_env @ X81) @ X82) => (((prover1282070756_SEval @ X81) @ X82) @ X80)))))),
3.32/0.99	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_Svalid__def)).
3.32/0.99	thf(f1323,plain,(
3.32/0.99	  ( ! [X2 : list_P512754263e_form,X0 : nat,X1 : prover1687215943e_form] : (($true = (prover1539709396Svalid @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X1)) @ X2))) | ($true != (prover1539709396Svalid @ ((append1038020460e_form @ X2) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ X1) @ X0)) @ nil_Pr1384483009e_form)))) | ($true = ((member_nat @ X0) @ (set_nat2 @ (prover_Mirabelle_sfv @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X1)) @ X2)))))) )),
3.32/0.99	  inference(cnf_transformation,[],[f991])).
3.32/0.99	thf(f991,plain,(
3.32/0.99	  ! [X0 : nat,X1 : prover1687215943e_form,X2 : list_P512754263e_form] : (($true = (prover1539709396Svalid @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X1)) @ X2))) | ($true != (prover1539709396Svalid @ ((append1038020460e_form @ X2) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ X1) @ X0)) @ nil_Pr1384483009e_form)))) | ($true = ((member_nat @ X0) @ (set_nat2 @ (prover_Mirabelle_sfv @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X1)) @ X2))))))),
3.32/0.99	  inference(flattening,[],[f990])).
3.32/0.99	thf(f990,plain,(
3.32/0.99	  ! [X0 : nat,X1 : prover1687215943e_form,X2 : list_P512754263e_form] : ((($true = (prover1539709396Svalid @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X1)) @ X2))) | ($true != (prover1539709396Svalid @ ((append1038020460e_form @ X2) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ X1) @ X0)) @ nil_Pr1384483009e_form))))) | ($true = ((member_nat @ X0) @ (set_nat2 @ (prover_Mirabelle_sfv @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X1)) @ X2))))))),
3.32/0.99	  inference(ennf_transformation,[],[f876])).
3.32/0.99	thf(f876,plain,(
3.32/0.99	  ! [X0 : nat,X1 : prover1687215943e_form,X2 : list_P512754263e_form] : (($true != ((member_nat @ X0) @ (set_nat2 @ (prover_Mirabelle_sfv @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X1)) @ X2))))) => (($true = (prover1539709396Svalid @ ((append1038020460e_form @ X2) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ X1) @ X0)) @ nil_Pr1384483009e_form)))) => ($true = (prover1539709396Svalid @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X1)) @ X2)))))),
3.32/0.99	  inference(flattening,[],[f630])).
3.32/0.99	thf(f630,plain,(
3.32/0.99	  ! [X0 : nat,X1 : prover1687215943e_form,X2 : list_P512754263e_form] : (~($true = ((member_nat @ X0) @ (set_nat2 @ (prover_Mirabelle_sfv @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X1)) @ X2))))) => (($true = (prover1539709396Svalid @ ((append1038020460e_form @ X2) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ X1) @ X0)) @ nil_Pr1384483009e_form)))) => ($true = (prover1539709396Svalid @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X1)) @ X2)))))),
3.32/0.99	  inference(fool_elimination,[],[f629])).
3.32/0.99	thf(f629,plain,(
3.32/0.99	  ! [X0 : nat,X1 : prover1687215943e_form,X2 : list_P512754263e_form] : (~((member_nat @ X0) @ (set_nat2 @ (prover_Mirabelle_sfv @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X1)) @ X2)))) => ((prover1539709396Svalid @ ((append1038020460e_form @ X2) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ X1) @ X0)) @ nil_Pr1384483009e_form))) => (prover1539709396Svalid @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X1)) @ X2))))),
3.32/0.99	  inference(rectify,[],[f144])).
3.32/0.99	thf(f144,axiom,(
3.32/0.99	  ! [X7 : nat,X28 : prover1687215943e_form,X70 : list_P512754263e_form] : (~((member_nat @ X7) @ (set_nat2 @ (prover_Mirabelle_sfv @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X28)) @ X70)))) => ((prover1539709396Svalid @ ((append1038020460e_form @ X70) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ X28) @ X7)) @ nil_Pr1384483009e_form))) => (prover1539709396Svalid @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ X28)) @ X70))))),
3.32/0.99	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_sound__FAll)).
3.32/0.99	thf(f1181,plain,(
3.32/0.99	  (((member_nat @ u) @ (set_nat2 @ (prover_Mirabelle_sfv @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))) != $true)),
3.32/0.99	  inference(cnf_transformation,[],[f840])).
3.32/0.99	thf(f840,plain,(
3.32/0.99	  (((member_nat @ u) @ (set_nat2 @ (prover_Mirabelle_sfv @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))) != $true)),
3.32/0.99	  inference(flattening,[],[f366])).
3.32/0.99	thf(f366,plain,(
3.32/0.99	  ~(((member_nat @ u) @ (set_nat2 @ (prover_Mirabelle_sfv @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))) = $true)),
3.32/0.99	  inference(fool_elimination,[],[f365])).
3.32/0.99	thf(f365,plain,(
3.32/0.99	  ~((member_nat @ u) @ (set_nat2 @ (prover_Mirabelle_sfv @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s))))),
3.32/0.99	  inference(rectify,[],[f313])).
3.32/0.99	thf(f313,axiom,(
3.32/0.99	  ~((member_nat @ u) @ (set_nat2 @ (prover_Mirabelle_sfv @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s))))),
3.32/0.99	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
3.32/0.99	thf(f1530,plain,(
3.32/0.99	  spl195_1 | spl195_2),
3.32/0.99	  inference(avatar_split_clause,[],[f1521,f1528,f1524])).
3.32/0.99	thf(f1521,plain,(
3.32/0.99	  ( ! [X2 : produc227817602le_U_o,X1 : nat > prover_Mirabelle_U] : (($false = ((prover1847600056is_env @ X2) @ X1)) | ($false = (((prover1282070756_SEval @ sK197) @ sK196) @ ((append1038020460e_form @ s) @ ((cons_P1475164433e_form @ ((prover1577896257_finst @ f) @ u)) @ nil_Pr1384483009e_form)))) | ($true = (((prover1282070756_SEval @ X2) @ X1) @ ((cons_P1475164433e_form @ (prover571163162e_FAll @ f)) @ s)))) )),
3.32/0.99	  inference(binary_proxy_clausification,[],[f1520])).
3.32/0.99	% SZS output end Proof for theBenchmark
3.32/0.99	% (14047)------------------------------
3.32/0.99	% (14047)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
3.32/0.99	% (14047)Termination reason: Refutation
3.32/0.99	
3.32/0.99	% (14047)Memory used [KB]: 14072
3.32/0.99	% (14047)Time elapsed: 0.400 s
3.32/0.99	% (14047)------------------------------
3.32/0.99	% (14047)------------------------------
3.32/0.99	% (13887)Success in time 0.634 s
3.32/0.99	EOF