0.12/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.14	% Command    : run_vampire %s %d
0.13/0.35	% Computer   : n007.cluster.edu
0.13/0.35	% Model      : x86_64 x86_64
0.13/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.35	% Memory     : 8042.1875MB
0.13/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.35	% CPULimit   : 1200
0.13/0.35	% WCLimit    : 120
0.13/0.35	% DateTime   : Tue Jul 13 13:38:19 EDT 2021
0.13/0.35	% CPUTime    : 
0.13/0.35	This is a THF_ problem
0.13/0.36	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.13/0.36	Running in auto input_syntax mode. Trying TPTP
0.21/0.42	% (15348)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
0.21/0.45	% (15359)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
0.21/0.45	% (15372)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
0.21/0.46	% (15353)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
0.21/0.46	% (15351)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
0.21/0.46	% (15352)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
0.21/0.46	% (15365)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
0.21/0.46	% (15350)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
0.21/0.47	% (15354)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
0.21/0.47	% (15349)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
0.21/0.47	% (15371)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
0.21/0.47	% (15358)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
0.21/0.47	% (15364)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
0.21/0.48	% (15360)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
0.21/0.48	% (15362)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
0.21/0.48	% (15373)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
0.21/0.48	% (15377)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
0.21/0.48	% (15370)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
0.21/0.48	% (15368)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
0.21/0.48	% (15376)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
0.21/0.48	% (15375)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
0.21/0.48	% (15357)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
0.21/0.48	% (15356)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
0.21/0.48	% (15367)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
0.21/0.49	% (15374)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
0.21/0.49	% (15369)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
0.21/0.49	% (15361)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
0.21/0.50	% (15363)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
0.21/0.51	% (15366)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
0.21/0.52	% (15355)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
0.21/0.58	% (15354)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.59	% (15364)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.59	% (15352)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.60	% (15371)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.61	% (15357)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.61	% (15361)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.63	% (15355)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.64	% (15350)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.21/0.65	% (15365)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.65	% (15372)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.55/0.66	% (15373)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.55/0.67	% (15370)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.55/0.67	% (15371)First to succeed.
1.55/0.68	% (15364)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.55/0.69	% (15371)Refutation found. Thanks to Tanya!
1.55/0.69	% SZS status Theorem for theBenchmark
1.55/0.69	% SZS output start Proof for theBenchmark
1.55/0.69	thf(type_def_6, type, arrow_475358991le_alt: $tType).
1.55/0.69	thf(type_def_7, type, arrow_1429601828e_indi: $tType).
1.55/0.69	thf(type_def_8, type, nat: $tType).
1.55/0.69	thf(type_def_9, type, product_unit: $tType).
1.55/0.69	thf(type_def_10, type, produc1501160679le_alt: $tType).
1.55/0.69	thf(type_def_11, type, >: ($tType * $tType) > $tType).
1.55/0.69	thf(func_def_12, type, all: (produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_13, type, arrow_797024463le_IIA: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_14, type, arrow_823908191le_Lin: (produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_15, type, arrow_734252939e_Prof: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_16, type, arrow_789600939_above: (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o).
1.55/0.69	thf(func_def_17, type, arrow_2098199487_below: (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o).
1.55/0.69	thf(func_def_18, type, arrow_1212662430ctator: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_19, type, arrow_2054445623_mkbot: (produc1501160679le_alt > $o) > arrow_475358991le_alt > produc1501160679le_alt > $o).
1.55/0.69	thf(func_def_20, type, arrow_55669061_mktop: (produc1501160679le_alt > $o) > arrow_475358991le_alt > produc1501160679le_alt > $o).
1.55/0.69	thf(func_def_21, type, arrow_1706409458nimity: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_22, type, finite120663670_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > nat).
1.55/0.69	thf(func_def_23, type, finite28306938_alt_o: ((produc1501160679le_alt > $o) > $o) > nat).
1.55/0.69	thf(func_def_24, type, finite_card_o: ($o > $o) > nat).
1.55/0.69	thf(func_def_25, type, finite97476818e_indi: (arrow_1429601828e_indi > $o) > nat).
1.55/0.69	thf(func_def_26, type, finite_card_nat: (nat > $o) > nat).
1.55/0.69	thf(func_def_27, type, finite1949902593t_unit: (product_unit > $o) > nat).
1.55/0.69	thf(func_def_28, type, finite537683861le_alt: (produc1501160679le_alt > $o) > nat).
1.55/0.69	thf(func_def_29, type, finite1956767223_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_30, type, finite2112685307_alt_o: ((produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_31, type, finite_finite_o: ($o > $o) > $o).
1.55/0.69	thf(func_def_32, type, finite664979089e_indi: (arrow_1429601828e_indi > $o) > $o).
1.55/0.69	thf(func_def_33, type, finite_finite_nat: (nat > $o) > $o).
1.55/0.69	thf(func_def_34, type, finite449174868le_alt: (produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_35, type, in_rel1252994498le_alt: (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > $o).
1.55/0.69	thf(func_def_36, type, inj_on1284293749_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_37, type, inj_on743426285_alt_o: ((produc1501160679le_alt > $o) > arrow_1429601828e_indi > produc1501160679le_alt > $o) > ((produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_38, type, inj_on1877294875e_indi: ((produc1501160679le_alt > $o) > arrow_1429601828e_indi) > ((produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_39, type, inj_on867909093le_alt: ($o > produc1501160679le_alt) > ($o > $o) > $o).
1.55/0.69	thf(func_def_40, type, inj_on1190919077_alt_o: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > (arrow_1429601828e_indi > $o) > $o).
1.55/0.69	thf(func_def_41, type, inj_on978774663di_nat: (arrow_1429601828e_indi > nat) > (arrow_1429601828e_indi > $o) > $o).
1.55/0.69	thf(func_def_42, type, inj_on_nat_nat: (nat > nat) > (nat > $o) > $o).
1.55/0.69	thf(func_def_43, type, inj_on1911943593_alt_o: (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_44, type, pi_Arr195212324lt_o_o: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_45, type, pi_Arr338314351e_indi: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o).
1.55/0.69	thf(func_def_46, type, pi_Arr830584606t_unit: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > product_unit > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > product_unit) > $o).
1.55/0.69	thf(func_def_47, type, pi_Arr1304755663_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_48, type, pi_Arr952516694lt_o_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_49, type, pi_Arr1232280765e_indi: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o).
1.55/0.69	thf(func_def_50, type, pi_Arr1963174508t_unit: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > product_unit > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > product_unit) > $o).
1.55/0.69	thf(func_def_51, type, pi_Pro763888199_alt_o: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_52, type, pi_Pro422690258lt_o_o: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > $o > $o) > ((produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_53, type, pi_Pro468373057e_indi: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > arrow_1429601828e_indi > $o) > ((produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o).
1.55/0.69	thf(func_def_54, type, pi_Pro1306850800t_unit: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > product_unit > $o) > ((produc1501160679le_alt > $o) > product_unit) > $o).
1.55/0.69	thf(func_def_55, type, pi_o_A1186128886_alt_o: ($o > $o) > ($o > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > ($o > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_56, type, pi_o_A1182933120_alt_o: ($o > $o) > ($o > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ($o > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_57, type, pi_o_P553196292_alt_o: ($o > $o) > ($o > (produc1501160679le_alt > $o) > $o) > ($o > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_58, type, pi_o_nat: ($o > $o) > ($o > nat > $o) > ($o > nat) > $o).
1.55/0.69	thf(func_def_59, type, pi_o_P657324555le_alt: ($o > $o) > ($o > produc1501160679le_alt > $o) > ($o > produc1501160679le_alt) > $o).
1.55/0.69	thf(func_def_60, type, pi_Arr1564509167_alt_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (arrow_1429601828e_indi > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_61, type, pi_Arr1060328391_alt_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > (arrow_1429601828e_indi > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_62, type, pi_Arr1929480907_alt_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > (produc1501160679le_alt > $o) > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_63, type, pi_Arr251692973di_nat: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > nat > $o) > (arrow_1429601828e_indi > nat) > $o).
1.55/0.69	thf(func_def_64, type, pi_Arr329216900le_alt: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > (arrow_1429601828e_indi > produc1501160679le_alt) > $o).
1.55/0.69	thf(func_def_65, type, pi_nat_o: (nat > $o) > (nat > $o > $o) > (nat > $o) > $o).
1.55/0.69	thf(func_def_66, type, pi_nat1219304995e_indi: (nat > $o) > (nat > arrow_1429601828e_indi > $o) > (nat > arrow_1429601828e_indi) > $o).
1.55/0.69	thf(func_def_67, type, pi_nat_nat: (nat > $o) > (nat > nat > $o) > (nat > nat) > $o).
1.55/0.69	thf(func_def_68, type, pi_nat_Product_unit: (nat > $o) > (nat > product_unit > $o) > (nat > product_unit) > $o).
1.55/0.69	thf(func_def_69, type, pi_Pro1782982558_alt_o: (product_unit > $o) > (product_unit > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (product_unit > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_70, type, pi_Pro1662176984_alt_o: (product_unit > $o) > (product_unit > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > (product_unit > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_71, type, pi_Pro1312660828_alt_o: (product_unit > $o) > (product_unit > (produc1501160679le_alt > $o) > $o) > (product_unit > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_72, type, pi_Product_unit_nat: (product_unit > $o) > (product_unit > nat > $o) > (product_unit > nat) > $o).
1.55/0.69	thf(func_def_73, type, pi_Pro701847987le_alt: (product_unit > $o) > (product_unit > produc1501160679le_alt > $o) > (product_unit > produc1501160679le_alt) > $o).
1.55/0.69	thf(func_def_74, type, pi_Pro1701359055_alt_o: (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o > $o) > (produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_75, type, pi_Pro1767455108e_indi: (produc1501160679le_alt > $o) > (produc1501160679le_alt > arrow_1429601828e_indi > $o) > (produc1501160679le_alt > arrow_1429601828e_indi) > $o).
1.55/0.69	thf(func_def_76, type, pi_Pro1475896499t_unit: (produc1501160679le_alt > $o) > (produc1501160679le_alt > product_unit > $o) > (produc1501160679le_alt > product_unit) > $o).
1.55/0.69	thf(func_def_77, type, one_one_nat: nat).
1.55/0.69	thf(func_def_78, type, plus_plus_nat: nat > nat > nat).
1.55/0.69	thf(func_def_79, type, zero_zero_nat: nat).
1.55/0.69	thf(func_def_80, type, hilber598459244di_nat: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > nat) > nat > arrow_1429601828e_indi).
1.55/0.69	thf(func_def_81, type, hilber195283148at_nat: (nat > $o) > (nat > nat) > nat > nat).
1.55/0.69	thf(func_def_82, type, if_Pro1561232536_alt_o: $o > (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > produc1501160679le_alt > $o).
1.55/0.69	thf(func_def_83, type, suc: nat > nat).
1.55/0.69	thf(func_def_84, type, ord_le1859604819lt_o_o: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_85, type, ord_le157835011lt_o_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_86, type, ord_le910298367lt_o_o: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_87, type, ord_less_o_o: ($o > $o) > ($o > $o) > $o).
1.55/0.69	thf(func_def_88, type, ord_le777687553indi_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > $o) > $o).
1.55/0.69	thf(func_def_89, type, ord_less_nat_o: (nat > $o) > (nat > $o) > $o).
1.55/0.69	thf(func_def_90, type, ord_le232288914unit_o: (product_unit > $o) > (product_unit > $o) > $o).
1.55/0.69	thf(func_def_91, type, ord_le988258430_alt_o: (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_92, type, ord_less_o: $o > $o > $o).
1.55/0.69	thf(func_def_93, type, ord_less_nat: nat > nat > $o).
1.55/0.69	thf(func_def_94, type, ord_le134800455lt_o_o: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_95, type, ord_le1992928527lt_o_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_96, type, ord_le1063113995lt_o_o: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_97, type, ord_less_eq_o_o: ($o > $o) > ($o > $o) > $o).
1.55/0.69	thf(func_def_98, type, ord_le2080035663_alt_o: (arrow_475358991le_alt > arrow_475358991le_alt > $o) > (arrow_475358991le_alt > arrow_475358991le_alt > $o) > $o).
1.55/0.69	thf(func_def_99, type, ord_le1799070453indi_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > $o) > $o).
1.55/0.69	thf(func_def_100, type, ord_less_eq_nat_o: (nat > $o) > (nat > $o) > $o).
1.55/0.69	thf(func_def_101, type, ord_le1511552390unit_o: (product_unit > $o) > (product_unit > $o) > $o).
1.55/0.69	thf(func_def_102, type, ord_le97612146_alt_o: (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_103, type, ord_less_eq_o: $o > $o > $o).
1.55/0.69	thf(func_def_104, type, ord_less_eq_nat: nat > nat > $o).
1.55/0.69	thf(func_def_105, type, top_to1969627639lt_o_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_106, type, top_to2122763103lt_o_o: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_107, type, top_to1842727771lt_o_o: (produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_108, type, top_top_o_o: $o > $o).
1.55/0.69	thf(func_def_109, type, top_to988227749indi_o: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_110, type, top_top_nat_o: nat > $o).
1.55/0.69	thf(func_def_111, type, top_to1984820022unit_o: product_unit > $o).
1.55/0.69	thf(func_def_112, type, top_to1841428258_alt_o: produc1501160679le_alt > $o).
1.55/0.69	thf(func_def_114, type, produc1347929815le_alt: arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt).
1.55/0.69	thf(func_def_115, type, ord_at4362885an_nat: nat > nat > nat > $o).
1.55/0.69	thf(func_def_116, type, collec2009291517_alt_o: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_117, type, collec682858041_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_118, type, collec94295101_alt_o: ((produc1501160679le_alt > $o) > $o) > (produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_119, type, collec22405327e_indi: (arrow_1429601828e_indi > $o) > arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_120, type, collect_nat: (nat > $o) > nat > $o).
1.55/0.69	thf(func_def_121, type, collect_Product_unit: (product_unit > $o) > product_unit > $o).
1.55/0.69	thf(func_def_122, type, collec869865362le_alt: (produc1501160679le_alt > $o) > produc1501160679le_alt > $o).
1.55/0.69	thf(func_def_123, type, image_484224243di_nat: (arrow_1429601828e_indi > nat) > (arrow_1429601828e_indi > $o) > nat > $o).
1.55/0.69	thf(func_def_124, type, member1823529808lt_o_o: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > ((((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o) > $o).
1.55/0.69	thf(func_def_125, type, member1452482393e_indi: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > ((((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o) > $o).
1.55/0.69	thf(func_def_126, type, member1924666376t_unit: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > product_unit) > ((((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > product_unit) > $o) > $o).
1.55/0.69	thf(func_def_127, type, member616898751_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_128, type, member939334982lt_o_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o) > $o).
1.55/0.69	thf(func_def_129, type, member44294883e_indi: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o) > $o).
1.55/0.69	thf(func_def_130, type, member843528338t_unit: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > product_unit) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > product_unit) > $o) > $o).
1.55/0.69	thf(func_def_131, type, member530241719_alt_o: ((produc1501160679le_alt > $o) > arrow_1429601828e_indi > produc1501160679le_alt > $o) > (((produc1501160679le_alt > $o) > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_132, type, member1961363906lt_o_o: ((produc1501160679le_alt > $o) > $o) > (((produc1501160679le_alt > $o) > $o) > $o) > $o).
1.55/0.69	thf(func_def_133, type, member304866663e_indi: ((produc1501160679le_alt > $o) > arrow_1429601828e_indi) > (((produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o) > $o).
1.55/0.69	thf(func_def_134, type, member221730070t_unit: ((produc1501160679le_alt > $o) > product_unit) > (((produc1501160679le_alt > $o) > product_unit) > $o) > $o).
1.55/0.69	thf(func_def_135, type, member1957863580_alt_o: ($o > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > (($o > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_136, type, member1394214384_alt_o: ($o > arrow_1429601828e_indi > produc1501160679le_alt > $o) > (($o > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_137, type, member1862122484_alt_o: ($o > produc1501160679le_alt > $o) > (($o > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_138, type, member_o_nat: ($o > nat) > (($o > nat) > $o) > $o).
1.55/0.69	thf(func_def_139, type, member492167345le_alt: ($o > produc1501160679le_alt) > (($o > produc1501160679le_alt) > $o) > $o).
1.55/0.69	thf(func_def_140, type, member811956313_alt_o: (arrow_1429601828e_indi > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > ((arrow_1429601828e_indi > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_141, type, member1234151027_alt_o: (arrow_1429601828e_indi > arrow_1429601828e_indi > produc1501160679le_alt > $o) > ((arrow_1429601828e_indi > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_142, type, member526088951_alt_o: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_143, type, member1315464153di_nat: (arrow_1429601828e_indi > nat) > ((arrow_1429601828e_indi > nat) > $o) > $o).
1.55/0.69	thf(func_def_144, type, member351225838le_alt: (arrow_1429601828e_indi > produc1501160679le_alt) > ((arrow_1429601828e_indi > produc1501160679le_alt) > $o) > $o).
1.55/0.69	thf(func_def_145, type, member_nat_o: (nat > $o) > ((nat > $o) > $o) > $o).
1.55/0.69	thf(func_def_146, type, member1391860553e_indi: (nat > arrow_1429601828e_indi) > ((nat > arrow_1429601828e_indi) > $o) > $o).
1.55/0.69	thf(func_def_147, type, member_nat_nat: (nat > nat) > ((nat > nat) > $o) > $o).
1.55/0.69	thf(func_def_148, type, member616671224t_unit: (nat > product_unit) > ((nat > product_unit) > $o) > $o).
1.55/0.69	thf(func_def_149, type, member1536989448_alt_o: (product_unit > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > ((product_unit > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_150, type, member283501700_alt_o: (product_unit > arrow_1429601828e_indi > produc1501160679le_alt > $o) > ((product_unit > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_151, type, member1661784200_alt_o: (product_unit > produc1501160679le_alt > $o) > ((product_unit > produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_152, type, member1827227242it_nat: (product_unit > nat) > ((product_unit > nat) > $o) > $o).
1.55/0.69	thf(func_def_153, type, member495332125le_alt: (product_unit > produc1501160679le_alt) > ((product_unit > produc1501160679le_alt) > $o) > $o).
1.55/0.69	thf(func_def_154, type, member377231867_alt_o: (produc1501160679le_alt > $o) > ((produc1501160679le_alt > $o) > $o) > $o).
1.55/0.69	thf(func_def_155, type, member1640632174e_indi: (produc1501160679le_alt > arrow_1429601828e_indi) > ((produc1501160679le_alt > arrow_1429601828e_indi) > $o) > $o).
1.55/0.69	thf(func_def_156, type, member593902749t_unit: (produc1501160679le_alt > product_unit) > ((produc1501160679le_alt > product_unit) > $o) > $o).
1.55/0.69	thf(func_def_157, type, member_o: $o > ($o > $o) > $o).
1.55/0.69	thf(func_def_158, type, member2052026769e_indi: arrow_1429601828e_indi > (arrow_1429601828e_indi > $o) > $o).
1.55/0.69	thf(func_def_159, type, member_nat: nat > (nat > $o) > $o).
1.55/0.69	thf(func_def_160, type, member_Product_unit: product_unit > (product_unit > $o) > $o).
1.55/0.69	thf(func_def_161, type, member214075476le_alt: produc1501160679le_alt > (produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_162, type, f: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o).
1.55/0.69	thf(func_def_163, type, lab: produc1501160679le_alt > $o).
1.55/0.69	thf(func_def_164, type, lba: produc1501160679le_alt > $o).
1.55/0.69	thf(func_def_165, type, p: arrow_1429601828e_indi > produc1501160679le_alt > $o).
1.55/0.69	thf(func_def_166, type, a: arrow_475358991le_alt).
1.55/0.69	thf(func_def_167, type, b: arrow_475358991le_alt).
1.55/0.69	thf(func_def_168, type, c: arrow_475358991le_alt).
1.55/0.69	thf(func_def_169, type, d: arrow_475358991le_alt).
1.55/0.69	thf(func_def_170, type, e: arrow_475358991le_alt).
1.55/0.69	thf(func_def_171, type, h: arrow_1429601828e_indi > nat).
1.55/0.69	thf(func_def_172, type, n: nat).
1.55/0.69	thf(func_def_174, type, vAND: $o > $o > $o).
1.55/0.69	thf(func_def_175, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
1.55/0.69	thf(func_def_178, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
1.55/0.69	thf(func_def_179, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
1.55/0.69	thf(func_def_180, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
1.55/0.69	thf(func_def_181, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
1.55/0.69	thf(func_def_182, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
1.55/0.69	thf(func_def_183, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
1.55/0.69	thf(func_def_184, type, sP0: (nat > nat > $o) > nat > nat > $o).
1.55/0.69	thf(func_def_185, type, sP1: (nat > nat > $o) > nat > nat > $o).
1.55/0.69	thf(func_def_186, type, sP2: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_187, type, sP3: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_188, type, sP4: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_189, type, sP5: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_190, type, sP6: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_191, type, sP7: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_192, type, sP8: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_193, type, sP9: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_194, type, sP10: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_195, type, sP11: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_196, type, sP12: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_197, type, sP13: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_198, type, sP14: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_199, type, sP15: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_200, type, sP16: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_201, type, sP17: arrow_1429601828e_indi > $o).
1.55/0.69	thf(func_def_202, type, sP18: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > (produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_203, type, sP19: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > (produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_204, type, sP20: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > (produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_205, type, sP21: arrow_475358991le_alt > arrow_475358991le_alt > (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > $o).
1.55/0.69	thf(func_def_206, type, sP22: arrow_475358991le_alt > arrow_475358991le_alt > (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > $o).
1.55/0.69	thf(func_def_207, type, sP23: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > $o).
1.55/0.69	thf(func_def_208, type, sP24: arrow_475358991le_alt > (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > $o).
1.55/0.69	thf(func_def_209, type, sP25: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > (produc1501160679le_alt > $o) > $o).
1.55/0.69	thf(func_def_210, type, sP26: (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > $o).
1.55/0.69	thf(func_def_211, type, sK27: nat).
1.55/0.69	thf(func_def_212, type, sK28: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi).
1.55/0.69	thf(func_def_213, type, sK29: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi).
1.55/0.69	thf(func_def_214, type, sK30: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi).
1.55/0.69	thf(func_def_215, type, sK31: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi).
1.55/0.69	thf(func_def_216, type, sK32: arrow_475358991le_alt > arrow_475358991le_alt > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi).
1.55/0.69	thf(func_def_217, type, sK33: nat).
1.55/0.69	thf(func_def_218, type, sK34: (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > arrow_475358991le_alt).
1.55/0.69	thf(func_def_219, type, sK35: (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > arrow_475358991le_alt).
1.55/0.69	thf(func_def_220, type, sK36: arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o).
1.55/0.69	thf(func_def_221, type, sK37: produc1501160679le_alt > $o).
1.55/0.69	thf(func_def_222, type, sK38: produc1501160679le_alt > $o).
1.55/0.69	thf(func_def_224, type, vOR: $o > $o > $o).
1.55/0.69	thf(func_def_225, type, vIMP: $o > $o > $o).
1.55/0.69	thf(func_def_226, type, vNOT: $o > $o).
1.55/0.69	thf(f2636,plain,(
1.55/0.69	  $false),
1.55/0.69	  inference(trivial_inequality_removal,[],[f2635])).
1.55/0.69	thf(f2635,plain,(
1.55/0.69	  ($true = $false)),
1.55/0.69	  inference(backward_demodulation,[],[f2326,f2634])).
1.55/0.69	thf(f2634,plain,(
1.55/0.69	  ($false = ((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ ((sCOMB @ ((sCOMB @ ((bCOMB @ if_Pro1561232536_alt_o) @ ((cCOMB @ ((bCOMB @ ord_less_nat) @ h)) @ n))) @ ((cCOMB @ ((bCOMB @ arrow_55669061_mktop) @ p)) @ e))) @ ((sCOMB @ ((sCOMB @ ((bCOMB @ if_Pro1561232536_alt_o) @ ((bCOMB @ (vEQ(nat) @ n)) @ h))) @ ((cCOMB @ ((cCOMB @ ((bCOMB @ arrow_789600939_above) @ p)) @ c)) @ e))) @ ((cCOMB @ ((bCOMB @ arrow_2054445623_mkbot) @ p)) @ e))))))),
1.55/0.69	  inference(global_subsumption,[],[f2281,f2566])).
1.55/0.69	thf(f2566,plain,(
1.55/0.69	  (((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ p)) = $true) | ($false = ((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ ((sCOMB @ ((sCOMB @ ((bCOMB @ if_Pro1561232536_alt_o) @ ((cCOMB @ ((bCOMB @ ord_less_nat) @ h)) @ n))) @ ((cCOMB @ ((bCOMB @ arrow_55669061_mktop) @ p)) @ e))) @ ((sCOMB @ ((sCOMB @ ((bCOMB @ if_Pro1561232536_alt_o) @ ((bCOMB @ (vEQ(nat) @ n)) @ h))) @ ((cCOMB @ ((cCOMB @ ((bCOMB @ arrow_789600939_above) @ p)) @ c)) @ e))) @ ((cCOMB @ ((bCOMB @ arrow_2054445623_mkbot) @ p)) @ e))))))),
1.55/0.69	  inference(binary_proxy_clausification,[],[f2392])).
1.55/0.69	thf(f2392,plain,(
1.55/0.69	  (((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ p)) = ((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ ((sCOMB @ ((sCOMB @ ((bCOMB @ if_Pro1561232536_alt_o) @ ((cCOMB @ ((bCOMB @ ord_less_nat) @ h)) @ n))) @ ((cCOMB @ ((bCOMB @ arrow_55669061_mktop) @ p)) @ e))) @ ((sCOMB @ ((sCOMB @ ((bCOMB @ if_Pro1561232536_alt_o) @ ((bCOMB @ (vEQ(nat) @ n)) @ h))) @ ((cCOMB @ ((cCOMB @ ((bCOMB @ arrow_789600939_above) @ p)) @ c)) @ e))) @ ((cCOMB @ ((bCOMB @ arrow_2054445623_mkbot) @ p)) @ e))))))),
1.55/0.69	  inference(cnf_transformation,[],[f728])).
1.55/0.69	thf(f728,plain,(
1.55/0.69	  (((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ p)) = ((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ ((sCOMB @ ((sCOMB @ ((bCOMB @ if_Pro1561232536_alt_o) @ ((cCOMB @ ((bCOMB @ ord_less_nat) @ h)) @ n))) @ ((cCOMB @ ((bCOMB @ arrow_55669061_mktop) @ p)) @ e))) @ ((sCOMB @ ((sCOMB @ ((bCOMB @ if_Pro1561232536_alt_o) @ ((bCOMB @ (vEQ(nat) @ n)) @ h))) @ ((cCOMB @ ((cCOMB @ ((bCOMB @ arrow_789600939_above) @ p)) @ c)) @ e))) @ ((cCOMB @ ((bCOMB @ arrow_2054445623_mkbot) @ p)) @ e))))))),
1.55/0.69	  inference(fool_elimination,[],[f727])).
1.55/0.69	thf(f727,plain,(
1.55/0.69	  ((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ (^[X0 : arrow_1429601828e_indi] : ((((if_Pro1561232536_alt_o @ ((ord_less_nat @ (h @ X0)) @ n)) @ ((arrow_55669061_mktop @ (p @ X0)) @ e)) @ (((if_Pro1561232536_alt_o @ (n = (h @ X0))) @ (((arrow_789600939_above @ (p @ X0)) @ c) @ e)) @ ((arrow_2054445623_mkbot @ (p @ X0)) @ e))))))) <=> ((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ p))),
1.55/0.69	  inference(rectify,[],[f270])).
1.55/0.69	thf(f270,axiom,(
1.55/0.69	  ((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ (^[X159 : arrow_1429601828e_indi] : ((((if_Pro1561232536_alt_o @ ((ord_less_nat @ (h @ X159)) @ n)) @ ((arrow_55669061_mktop @ (p @ X159)) @ e)) @ (((if_Pro1561232536_alt_o @ (n = (h @ X159))) @ (((arrow_789600939_above @ (p @ X159)) @ c) @ e)) @ ((arrow_2054445623_mkbot @ (p @ X159)) @ e))))))) <=> ((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ p))),
1.55/0.69	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_PW)).
1.55/0.69	thf(f2281,plain,(
1.55/0.69	  (((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ p)) != $true)),
1.55/0.69	  inference(cnf_transformation,[],[f2023])).
1.55/0.69	thf(f2023,plain,(
1.55/0.69	  (((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ p)) != $true)),
1.55/0.69	  inference(flattening,[],[f708])).
1.55/0.69	thf(f708,plain,(
1.55/0.69	  ~(((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ p)) = $true)),
1.55/0.69	  inference(fool_elimination,[],[f707])).
1.55/0.69	thf(f707,plain,(
1.55/0.69	  ~((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ p))),
1.55/0.69	  inference(rectify,[],[f569])).
1.55/0.69	thf(f569,negated_conjecture,(
1.55/0.69	  ~((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ p))),
1.55/0.69	  inference(negated_conjecture,[],[f568])).
1.55/0.69	thf(f568,conjecture,(
1.55/0.69	  ((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ p))),
1.55/0.69	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
1.55/0.69	thf(f2326,plain,(
1.55/0.69	  ($true = ((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ ((sCOMB @ ((sCOMB @ ((bCOMB @ if_Pro1561232536_alt_o) @ ((cCOMB @ ((bCOMB @ ord_less_nat) @ h)) @ n))) @ ((cCOMB @ ((bCOMB @ arrow_55669061_mktop) @ p)) @ e))) @ ((sCOMB @ ((sCOMB @ ((bCOMB @ if_Pro1561232536_alt_o) @ ((bCOMB @ (vEQ(nat) @ n)) @ h))) @ ((cCOMB @ ((cCOMB @ ((bCOMB @ arrow_789600939_above) @ p)) @ c)) @ e))) @ ((cCOMB @ ((bCOMB @ arrow_2054445623_mkbot) @ p)) @ e))))))),
1.55/0.69	  inference(cnf_transformation,[],[f2014])).
1.55/0.69	thf(f2014,plain,(
1.55/0.69	  ($true = ((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ ((sCOMB @ ((sCOMB @ ((bCOMB @ if_Pro1561232536_alt_o) @ ((cCOMB @ ((bCOMB @ ord_less_nat) @ h)) @ n))) @ ((cCOMB @ ((bCOMB @ arrow_55669061_mktop) @ p)) @ e))) @ ((sCOMB @ ((sCOMB @ ((bCOMB @ if_Pro1561232536_alt_o) @ ((bCOMB @ (vEQ(nat) @ n)) @ h))) @ ((cCOMB @ ((cCOMB @ ((bCOMB @ arrow_789600939_above) @ p)) @ c)) @ e))) @ ((cCOMB @ ((bCOMB @ arrow_2054445623_mkbot) @ p)) @ e))))))),
1.55/0.69	  inference(fool_elimination,[],[f2013])).
1.55/0.69	thf(f2013,plain,(
1.55/0.69	  ((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ (^[X0 : arrow_1429601828e_indi] : ((((if_Pro1561232536_alt_o @ ((ord_less_nat @ (h @ X0)) @ n)) @ ((arrow_55669061_mktop @ (p @ X0)) @ e)) @ (((if_Pro1561232536_alt_o @ (n = (h @ X0))) @ (((arrow_789600939_above @ (p @ X0)) @ c) @ e)) @ ((arrow_2054445623_mkbot @ (p @ X0)) @ e)))))))),
1.55/0.69	  inference(rectify,[],[f570])).
1.55/0.69	thf(f570,axiom,(
1.55/0.69	  ((member214075476le_alt @ ((produc1347929815le_alt @ c) @ d)) @ (f @ (^[X159 : arrow_1429601828e_indi] : ((((if_Pro1561232536_alt_o @ ((ord_less_nat @ (h @ X159)) @ n)) @ ((arrow_55669061_mktop @ (p @ X159)) @ e)) @ (((if_Pro1561232536_alt_o @ (n = (h @ X159))) @ (((arrow_789600939_above @ (p @ X159)) @ c) @ e)) @ ((arrow_2054445623_mkbot @ (p @ X159)) @ e)))))))),
1.55/0.69	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto)).
1.55/0.69	% SZS output end Proof for theBenchmark
1.55/0.69	% (15371)------------------------------
1.55/0.69	% (15371)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
1.55/0.69	% (15371)Termination reason: Refutation
1.55/0.69	
1.55/0.69	% (15371)Memory used [KB]: 13432
1.55/0.69	% (15371)Time elapsed: 0.107 s
1.55/0.69	% (15371)------------------------------
1.55/0.69	% (15371)------------------------------
1.55/0.69	% (15342)Success in time 0.324 s
1.55/0.69	EOF