0.08/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.12	% Command    : run_vampire %s %d
0.11/0.32	% Computer   : n007.cluster.edu
0.11/0.32	% Model      : x86_64 x86_64
0.11/0.32	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.32	% Memory     : 8042.1875MB
0.11/0.32	% OS         : Linux 3.10.0-693.el7.x86_64
0.11/0.32	% CPULimit   : 1200
0.11/0.32	% WCLimit    : 120
0.11/0.32	% DateTime   : Tue Jul 13 15:45:04 EDT 2021
0.11/0.32	% CPUTime    : 
0.11/0.32	This is a THF_ problem
0.11/0.33	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.11/0.33	Running in auto input_syntax mode. Trying TPTP
0.18/0.37	% (30970)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
0.18/0.38	% (30983)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
0.18/0.39	% (30982)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
0.18/0.39	% (30969)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
0.18/0.39	% (30973)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
0.18/0.39	% (30972)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
0.18/0.39	% (30971)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
0.18/0.40	% (30992)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
0.18/0.40	% (30984)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
0.18/0.41	% (30976)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
0.18/0.41	% (30975)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
0.18/0.41	% (30995)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
0.18/0.42	% (30993)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
0.18/0.42	% (30991)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
0.18/0.42	% (30987)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
0.18/0.42	% (30974)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
0.18/0.42	% (30985)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
0.18/0.43	% (30997)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
0.18/0.43	% (30996)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
0.18/0.43	% (30978)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
0.18/0.43	% (30979)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
0.18/0.43	% (30998)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
0.18/0.43	% (30977)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
0.18/0.43	% (30989)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
0.18/0.43	% (30988)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
0.18/0.43	% (30994)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
0.18/0.44	% (30981)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
0.18/0.44	% (30980)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
0.18/0.44	% (30986)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
0.18/0.44	% (30990)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
0.18/0.48	% (30975)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.18/0.50	% (30976)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.18/0.50	% (30973)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.18/0.50	% (30992)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.18/0.52	% (30994)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.18/0.52	% (30982)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.18/0.53	% (30986)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.18/0.53	% (30971)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.18/0.54	% (30985)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.18/0.54	% (30978)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.18/0.54	% (30991)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.18/0.54	% (30983)First to succeed.
0.18/0.56	% (30983)Refutation found. Thanks to Tanya!
0.18/0.56	% SZS status Theorem for theBenchmark
0.18/0.56	% SZS output start Proof for theBenchmark
0.18/0.56	thf(type_def_6, type, sigma_1422848389real_n: $tType).
0.18/0.56	thf(type_def_7, type, set_Si1125517487real_n: $tType).
0.18/0.56	thf(type_def_8, type, set_se820660888real_n: $tType).
0.18/0.56	thf(type_def_9, type, sigma_1466784463real_n: $tType).
0.18/0.56	thf(type_def_10, type, set_se2111327970real_n: $tType).
0.18/0.56	thf(type_def_11, type, set_se944069346_int_n: $tType).
0.18/0.56	thf(type_def_12, type, set_Fi1058188332real_n: $tType).
0.18/0.56	thf(type_def_13, type, set_Fi160064172_int_n: $tType).
0.18/0.56	thf(type_def_14, type, finite1489363574real_n: $tType).
0.18/0.56	thf(type_def_15, type, finite964658038_int_n: $tType).
0.18/0.56	thf(type_def_16, type, set_Ex113815278nnreal: $tType).
0.18/0.56	thf(type_def_17, type, set_set_nat: $tType).
0.18/0.56	thf(type_def_18, type, extend1728876344nnreal: $tType).
0.18/0.56	thf(type_def_19, type, sigma_measure_o: $tType).
0.18/0.56	thf(type_def_20, type, set_set_o: $tType).
0.18/0.56	thf(type_def_21, type, set_nat: $tType).
0.18/0.56	thf(type_def_22, type, set_o: $tType).
0.18/0.56	thf(type_def_23, type, nat: $tType).
0.18/0.56	thf(type_def_24, type, >: ($tType * $tType) > $tType).
0.18/0.56	thf(func_def_25, type, complete_Sup_Sup_o: set_o > $o).
0.18/0.56	thf(func_def_26, type, comple1413366923nnreal: set_Ex113815278nnreal > extend1728876344nnreal).
0.18/0.56	thf(func_def_27, type, comple2042271945real_n: set_Fi1058188332real_n > finite1489363574real_n).
0.18/0.56	thf(func_def_28, type, comple1665300069_set_o: set_set_o > set_o).
0.18/0.56	thf(func_def_29, type, comple970917503_int_n: set_se944069346_int_n > set_Fi160064172_int_n).
0.18/0.56	thf(func_def_30, type, comple825005695real_n: set_se2111327970real_n > set_Fi1058188332real_n).
0.18/0.56	thf(func_def_31, type, comple1682161881et_nat: set_set_nat > set_nat).
0.18/0.56	thf(func_def_32, type, comple1917283637real_n: set_se820660888real_n > set_se2111327970real_n).
0.18/0.56	thf(func_def_33, type, comple488165692real_n: set_Si1125517487real_n > sigma_1466784463real_n).
0.18/0.56	thf(func_def_34, type, comple230862828real_n: sigma_1466784463real_n > sigma_1466784463real_n).
0.18/0.56	thf(func_def_35, type, counta1142393929_int_n: set_Fi160064172_int_n > nat > finite964658038_int_n).
0.18/0.56	thf(func_def_36, type, minus_1196255695_int_n: finite964658038_int_n > finite964658038_int_n > finite964658038_int_n).
0.18/0.56	thf(func_def_37, type, minus_1037315151real_n: finite1489363574real_n > finite1489363574real_n > finite1489363574real_n).
0.18/0.56	thf(func_def_38, type, minus_1686442501real_n: set_Fi1058188332real_n > set_Fi1058188332real_n > set_Fi1058188332real_n).
0.18/0.56	thf(func_def_39, type, one_on705384445nnreal: extend1728876344nnreal).
0.18/0.56	thf(func_def_40, type, one_on1253059131real_n: finite1489363574real_n).
0.18/0.56	thf(func_def_41, type, plus_p1763960001nnreal: extend1728876344nnreal > extend1728876344nnreal > extend1728876344nnreal).
0.18/0.56	thf(func_def_42, type, plus_p1654784127_int_n: finite964658038_int_n > finite964658038_int_n > finite964658038_int_n).
0.18/0.56	thf(func_def_43, type, plus_p585657087real_n: finite1489363574real_n > finite1489363574real_n > finite1489363574real_n).
0.18/0.56	thf(func_def_44, type, zero_z1963244097nnreal: extend1728876344nnreal).
0.18/0.56	thf(func_def_45, type, zero_z200130687real_n: finite1489363574real_n).
0.18/0.56	thf(func_def_46, type, inf_inf_set_o: set_o > set_o > set_o).
0.18/0.56	thf(func_def_47, type, inf_in1108485182_int_n: set_Fi160064172_int_n > set_Fi160064172_int_n > set_Fi160064172_int_n).
0.18/0.56	thf(func_def_48, type, inf_in1974387902real_n: set_Fi1058188332real_n > set_Fi1058188332real_n > set_Fi1058188332real_n).
0.18/0.56	thf(func_def_49, type, inf_inf_set_nat: set_nat > set_nat > set_nat).
0.18/0.56	thf(func_def_50, type, inf_in632889204real_n: set_se2111327970real_n > set_se2111327970real_n > set_se2111327970real_n).
0.18/0.56	thf(func_def_51, type, lebesg260170249real_n: sigma_1466784463real_n).
0.18/0.56	thf(func_def_52, type, measure_null_sets_o: sigma_measure_o > set_set_o).
0.18/0.56	thf(func_def_53, type, measur1402256771real_n: sigma_1466784463real_n > set_se2111327970real_n).
0.18/0.56	thf(func_def_54, type, measur2126959417real_n: sigma_1422848389real_n > set_se820660888real_n).
0.18/0.56	thf(func_def_55, type, minkow1134813771n_real: finite964658038_int_n > finite1489363574real_n).
0.18/0.56	thf(func_def_56, type, ord_le2133614988nnreal: extend1728876344nnreal > extend1728876344nnreal > $o).
0.18/0.56	thf(func_def_57, type, top_to287930409nt_n_o: finite964658038_int_n > $o).
0.18/0.56	thf(func_def_58, type, top_top_nat_o: nat > $o).
0.18/0.56	thf(func_def_60, type, top_to1845833192nnreal: extend1728876344nnreal).
0.18/0.56	thf(func_def_61, type, top_top_set_o: set_o).
0.18/0.56	thf(func_def_62, type, top_to131672412_int_n: set_Fi160064172_int_n).
0.18/0.56	thf(func_def_63, type, top_to1292442332real_n: set_Fi1058188332real_n).
0.18/0.56	thf(func_def_64, type, top_top_set_nat: set_nat).
0.18/0.56	thf(func_def_65, type, top_to1587634578_int_n: set_se944069346_int_n).
0.18/0.56	thf(func_def_66, type, top_to20708754real_n: set_se2111327970real_n).
0.18/0.56	thf(func_def_67, type, top_top_set_set_nat: set_set_nat).
0.18/0.56	thf(func_def_68, type, sums_E1192373732nnreal: (nat > extend1728876344nnreal) > extend1728876344nnreal > $o).
0.18/0.56	thf(func_def_69, type, collect_o: ($o > $o) > set_o).
0.18/0.56	thf(func_def_70, type, collec1941932235_int_n: (finite964658038_int_n > $o) > set_Fi160064172_int_n).
0.18/0.56	thf(func_def_71, type, collec321817931real_n: (finite1489363574real_n > $o) > set_Fi1058188332real_n).
0.18/0.56	thf(func_def_72, type, collect_nat: (nat > $o) > set_nat).
0.18/0.56	thf(func_def_73, type, collec452821761real_n: (set_Fi1058188332real_n > $o) > set_se2111327970real_n).
0.18/0.56	thf(func_def_74, type, image_o_o: ($o > $o) > set_o > set_o).
0.18/0.56	thf(func_def_75, type, image_o_set_o: ($o > set_o) > set_o > set_set_o).
0.18/0.56	thf(func_def_76, type, image_1759008383real_n: ($o > set_Fi1058188332real_n) > set_o > set_se2111327970real_n).
0.18/0.56	thf(func_def_77, type, image_452144437real_n: ($o > set_se2111327970real_n) > set_o > set_se820660888real_n).
0.18/0.56	thf(func_def_78, type, image_1599934780real_n: ($o > sigma_1466784463real_n) > set_o > set_Si1125517487real_n).
0.18/0.56	thf(func_def_79, type, image_2066995319nnreal: (extend1728876344nnreal > extend1728876344nnreal) > set_Ex113815278nnreal > set_Ex113815278nnreal).
0.18/0.56	thf(func_def_80, type, image_216309723nt_n_o: (finite964658038_int_n > $o) > set_Fi160064172_int_n > set_o).
0.18/0.56	thf(func_def_81, type, image_1278151539_int_n: (finite964658038_int_n > finite964658038_int_n) > set_Fi160064172_int_n > set_Fi160064172_int_n).
0.18/0.56	thf(func_def_82, type, image_2058828787real_n: (finite964658038_int_n > finite1489363574real_n) > set_Fi160064172_int_n > set_Fi1058188332real_n).
0.18/0.56	thf(func_def_83, type, image_497739341_n_nat: (finite964658038_int_n > nat) > set_Fi160064172_int_n > set_nat).
0.18/0.56	thf(func_def_84, type, image_1819506345_int_n: (finite964658038_int_n > set_Fi160064172_int_n) > set_Fi160064172_int_n > set_se944069346_int_n).
0.18/0.56	thf(func_def_85, type, image_355963305real_n: (finite964658038_int_n > set_Fi1058188332real_n) > set_Fi160064172_int_n > set_se2111327970real_n).
0.18/0.56	thf(func_def_86, type, image_1085873667et_nat: (finite964658038_int_n > set_nat) > set_Fi160064172_int_n > set_set_nat).
0.18/0.56	thf(func_def_87, type, image_439535603real_n: (finite1489363574real_n > finite1489363574real_n) > set_Fi1058188332real_n > set_Fi1058188332real_n).
0.18/0.56	thf(func_def_88, type, image_545463721real_n: (finite1489363574real_n > set_Fi1058188332real_n) > set_Fi1058188332real_n > set_se2111327970real_n).
0.18/0.56	thf(func_def_89, type, image_nat_o: (nat > $o) > set_nat > set_o).
0.18/0.56	thf(func_def_90, type, image_1961920973_int_n: (nat > finite964658038_int_n) > set_nat > set_Fi160064172_int_n).
0.18/0.56	thf(func_def_91, type, image_183184717real_n: (nat > finite1489363574real_n) > set_nat > set_Fi1058188332real_n).
0.18/0.56	thf(func_def_92, type, image_nat_nat: (nat > nat) > set_nat > set_nat).
0.18/0.56	thf(func_def_93, type, image_968789251_int_n: (nat > set_Fi160064172_int_n) > set_nat > set_se944069346_int_n).
0.18/0.56	thf(func_def_94, type, image_1856576259real_n: (nat > set_Fi1058188332real_n) > set_nat > set_se2111327970real_n).
0.18/0.56	thf(func_def_95, type, image_nat_set_nat: (nat > set_nat) > set_nat > set_set_nat).
0.18/0.56	thf(func_def_96, type, image_set_o_o: (set_o > $o) > set_set_o > set_o).
0.18/0.56	thf(func_def_97, type, image_792439519real_n: (set_Fi160064172_int_n > set_Fi1058188332real_n) > set_se944069346_int_n > set_se2111327970real_n).
0.18/0.56	thf(func_def_98, type, image_1054146965real_n: (set_Fi160064172_int_n > set_se2111327970real_n) > set_se944069346_int_n > set_se820660888real_n).
0.18/0.56	thf(func_def_99, type, image_1648361637al_n_o: (set_Fi1058188332real_n > $o) > set_se2111327970real_n > set_o).
0.18/0.56	thf(func_def_100, type, image_1687589765_set_o: (set_Fi1058188332real_n > set_o) > set_se2111327970real_n > set_set_o).
0.18/0.56	thf(func_def_101, type, image_1661509983real_n: (set_Fi1058188332real_n > set_Fi1058188332real_n) > set_se2111327970real_n > set_se2111327970real_n).
0.18/0.56	thf(func_def_102, type, image_797440021real_n: (set_Fi1058188332real_n > set_se2111327970real_n) > set_se2111327970real_n > set_se820660888real_n).
0.18/0.56	thf(func_def_103, type, image_987430492real_n: (set_Fi1058188332real_n > sigma_1466784463real_n) > set_se2111327970real_n > set_Si1125517487real_n).
0.18/0.56	thf(func_def_104, type, image_933134521real_n: (set_nat > set_Fi1058188332real_n) > set_set_nat > set_se2111327970real_n).
0.18/0.56	thf(func_def_105, type, image_1587769199real_n: (set_nat > set_se2111327970real_n) > set_set_nat > set_se820660888real_n).
0.18/0.56	thf(func_def_106, type, image_1681970287al_n_o: (set_se2111327970real_n > $o) > set_se820660888real_n > set_o).
0.18/0.56	thf(func_def_107, type, image_1298280374real_n: (sigma_1466784463real_n > set_Fi1058188332real_n) > set_Si1125517487real_n > set_se2111327970real_n).
0.18/0.56	thf(func_def_108, type, vimage_o_o: ($o > $o) > set_o > set_o).
0.18/0.56	thf(func_def_109, type, vimage961837641real_n: ($o > set_Fi1058188332real_n) > set_se2111327970real_n > set_o).
0.18/0.56	thf(func_def_110, type, vimage1122713129_int_n: (finite964658038_int_n > finite964658038_int_n) > set_Fi160064172_int_n > set_Fi160064172_int_n).
0.18/0.56	thf(func_def_111, type, vimage1276736425real_n: (finite964658038_int_n > finite1489363574real_n) > set_Fi1058188332real_n > set_Fi160064172_int_n).
0.18/0.56	thf(func_def_112, type, vimage1398021123_n_nat: (finite964658038_int_n > nat) > set_nat > set_Fi160064172_int_n).
0.18/0.56	thf(func_def_113, type, vimage464515423real_n: (finite964658038_int_n > set_Fi1058188332real_n) > set_se2111327970real_n > set_Fi160064172_int_n).
0.18/0.56	thf(func_def_114, type, vimage1233683625real_n: (finite1489363574real_n > finite1489363574real_n) > set_Fi1058188332real_n > set_Fi1058188332real_n).
0.18/0.56	thf(func_def_115, type, vimage714719107_int_n: (nat > finite964658038_int_n) > set_Fi160064172_int_n > set_nat).
0.18/0.56	thf(func_def_116, type, vimage1860757507real_n: (nat > finite1489363574real_n) > set_Fi1058188332real_n > set_nat).
0.18/0.56	thf(func_def_117, type, vimage_nat_nat: (nat > nat) > set_nat > set_nat).
0.18/0.56	thf(func_def_118, type, vimage3210681real_n: (nat > set_Fi1058188332real_n) > set_se2111327970real_n > set_nat).
0.18/0.56	thf(func_def_119, type, vimage851190895al_n_o: (set_Fi1058188332real_n > $o) > set_o > set_se2111327970real_n).
0.18/0.56	thf(func_def_120, type, vimage784510485real_n: (set_Fi1058188332real_n > set_Fi1058188332real_n) > set_se2111327970real_n > set_se2111327970real_n).
0.18/0.56	thf(func_def_121, type, sigma_1536574303real_n: sigma_1466784463real_n > set_Fi1058188332real_n > extend1728876344nnreal).
0.18/0.56	thf(func_def_122, type, sigma_1235138647real_n: sigma_1466784463real_n > set_se2111327970real_n).
0.18/0.56	thf(func_def_123, type, sigma_space_o: sigma_measure_o > set_o).
0.18/0.56	thf(func_def_124, type, sigma_476185326real_n: sigma_1466784463real_n > set_Fi1058188332real_n).
0.18/0.56	thf(func_def_125, type, sigma_607186084real_n: sigma_1422848389real_n > set_se2111327970real_n).
0.18/0.56	thf(func_def_126, type, member_o: $o > set_o > $o).
0.18/0.56	thf(func_def_127, type, member1217042383nnreal: extend1728876344nnreal > set_Ex113815278nnreal > $o).
0.18/0.56	thf(func_def_128, type, member27055245_int_n: finite964658038_int_n > set_Fi160064172_int_n > $o).
0.18/0.56	thf(func_def_129, type, member1352538125real_n: finite1489363574real_n > set_Fi1058188332real_n > $o).
0.18/0.56	thf(func_def_130, type, member_nat: nat > set_nat > $o).
0.18/0.56	thf(func_def_131, type, member_set_o: set_o > set_set_o > $o).
0.18/0.56	thf(func_def_132, type, member223413699real_n: set_Fi1058188332real_n > set_se2111327970real_n > $o).
0.18/0.56	thf(func_def_133, type, member1475136633real_n: set_se2111327970real_n > set_se820660888real_n > $o).
0.18/0.56	thf(func_def_134, type, member1000184real_n: sigma_1466784463real_n > set_Si1125517487real_n > $o).
0.18/0.56	thf(func_def_135, type, r: finite964658038_int_n > set_Fi1058188332real_n).
0.18/0.56	thf(func_def_136, type, s: set_Fi1058188332real_n).
0.18/0.56	thf(func_def_137, type, t: finite964658038_int_n > set_Fi1058188332real_n).
0.18/0.56	thf(func_def_138, type, t2: finite964658038_int_n > set_Fi1058188332real_n).
0.18/0.56	thf(func_def_139, type, f: nat > finite964658038_int_n).
0.18/0.56	thf(func_def_141, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
0.18/0.56	thf(func_def_144, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
0.18/0.56	thf(func_def_145, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
0.18/0.56	thf(func_def_146, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
0.18/0.56	thf(func_def_147, type, vAND: $o > $o > $o).
0.18/0.56	thf(func_def_148, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
0.18/0.56	thf(func_def_149, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
0.18/0.56	thf(func_def_150, type, vIMP: $o > $o > $o).
0.18/0.56	thf(func_def_151, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
0.18/0.56	thf(func_def_152, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)).
0.18/0.56	thf(func_def_153, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
0.18/0.56	thf(func_def_154, type, vNOT: $o > $o).
0.18/0.56	thf(func_def_155, type, vOR: $o > $o > $o).
0.18/0.56	thf(func_def_156, type, sK0: (finite1489363574real_n > finite1489363574real_n) > (finite1489363574real_n > finite1489363574real_n) > set_Fi1058188332real_n > finite1489363574real_n).
0.18/0.56	thf(func_def_157, type, sK1: (finite1489363574real_n > finite1489363574real_n) > (finite1489363574real_n > finite1489363574real_n) > set_Fi1058188332real_n > finite1489363574real_n).
0.18/0.56	thf(func_def_158, type, sK2: (finite1489363574real_n > finite1489363574real_n) > (finite1489363574real_n > finite1489363574real_n) > set_Fi1058188332real_n > finite1489363574real_n).
0.18/0.56	thf(func_def_159, type, sK3: (finite1489363574real_n > finite1489363574real_n) > (finite1489363574real_n > finite1489363574real_n) > set_Fi1058188332real_n > finite1489363574real_n).
0.18/0.56	thf(func_def_160, type, sK4: set_Fi1058188332real_n > (finite1489363574real_n > finite1489363574real_n) > finite1489363574real_n > finite1489363574real_n).
0.18/0.56	thf(func_def_161, type, sK5: (finite1489363574real_n > $o) > set_Fi1058188332real_n > (finite1489363574real_n > finite1489363574real_n) > finite1489363574real_n).
0.18/0.56	thf(func_def_162, type, sK6: (finite1489363574real_n > $o) > set_Fi1058188332real_n > (finite1489363574real_n > finite1489363574real_n) > finite1489363574real_n).
0.18/0.56	thf(func_def_163, type, sK7: (nat > set_Fi1058188332real_n) > set_Fi1058188332real_n > nat).
0.18/0.56	thf(func_def_164, type, sK8: (finite964658038_int_n > set_Fi1058188332real_n) > set_Fi1058188332real_n > finite964658038_int_n).
0.18/0.56	thf(func_def_165, type, sK9: set_se2111327970real_n > finite1489363574real_n > set_Fi1058188332real_n).
0.18/0.56	thf(func_def_166, type, sK10: sigma_1466784463real_n > (finite964658038_int_n > set_Fi1058188332real_n) > finite964658038_int_n).
0.18/0.56	thf(func_def_167, type, sK11: sigma_1466784463real_n > (nat > set_Fi1058188332real_n) > nat).
0.18/0.56	thf(func_def_168, type, sK12: (finite1489363574real_n > finite1489363574real_n) > finite1489363574real_n > finite1489363574real_n).
0.18/0.56	thf(func_def_169, type, sK13: (finite1489363574real_n > finite1489363574real_n) > (finite1489363574real_n > finite1489363574real_n) > finite1489363574real_n).
0.18/0.56	thf(func_def_170, type, sK14: finite1489363574real_n > (finite1489363574real_n > finite1489363574real_n) > finite1489363574real_n).
0.18/0.56	thf(func_def_171, type, sK15: finite1489363574real_n > (finite1489363574real_n > finite1489363574real_n) > finite1489363574real_n).
0.18/0.56	thf(func_def_172, type, sK16: (set_Fi1058188332real_n > set_Fi1058188332real_n) > (set_Fi1058188332real_n > set_Fi1058188332real_n) > set_se2111327970real_n > set_Fi1058188332real_n).
0.18/0.56	thf(func_def_173, type, sK17: set_se2111327970real_n > (set_Fi1058188332real_n > set_Fi1058188332real_n) > finite1489363574real_n > set_Fi1058188332real_n).
0.18/0.56	thf(func_def_174, type, sK18: set_se2111327970real_n > (set_Fi1058188332real_n > set_Fi1058188332real_n) > set_Fi1058188332real_n > set_Fi1058188332real_n).
0.18/0.56	thf(func_def_178, type, sK19: nat).
0.18/0.56	thf(f1200,plain,(
0.18/0.56	  $false),
0.18/0.56	  inference(trivial_inequality_removal,[],[f1199])).
0.18/0.56	thf(f1199,plain,(
0.18/0.56	  (((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t2 @ (f @ sK19))) != ((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t2 @ (f @ sK19)))) | (((cCOMB @ minus_1037315151real_n) @ (minkow1134813771n_real @ (f @ sK19))) != ((cCOMB @ minus_1037315151real_n) @ (minkow1134813771n_real @ (f @ sK19))))),
0.18/0.56	  inference(constrained_superposition,[],[f1197,f1195])).
0.18/0.56	thf(f1195,plain,(
0.18/0.56	  ( ! [X0 : finite964658038_int_n] : ((((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t2 @ X0)) = ((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ ((image_439535603real_n @ ((cCOMB @ minus_1037315151real_n) @ (minkow1134813771n_real @ X0))) @ (t2 @ X0))))) )),
0.18/0.56	  inference(combinator_demodulation,[],[f1160])).
0.18/0.56	thf(f1160,plain,(
0.18/0.56	  ( ! [X0 : finite964658038_int_n] : ((((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t2 @ X0)) = ((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (((sCOMB @ ((bCOMB @ image_439535603real_n) @ ((bCOMB @ (cCOMB @ minus_1037315151real_n)) @ minkow1134813771n_real))) @ t2) @ X0)))) )),
0.18/0.56	  inference(definition_unfolding,[],[f1040,f1041])).
0.18/0.56	thf(f1041,plain,(
0.18/0.56	  (t = ((sCOMB @ ((bCOMB @ image_439535603real_n) @ ((bCOMB @ (cCOMB @ minus_1037315151real_n)) @ minkow1134813771n_real))) @ t2))),
0.18/0.56	  inference(cnf_transformation,[],[f360])).
0.18/0.56	thf(f360,plain,(
0.18/0.56	  (t = ((sCOMB @ ((bCOMB @ image_439535603real_n) @ ((bCOMB @ (cCOMB @ minus_1037315151real_n)) @ minkow1134813771n_real))) @ t2))),
0.18/0.56	  inference(fool_elimination,[],[f359])).
0.18/0.56	thf(f359,plain,(
0.18/0.56	  (t = (^[X0 : finite964658038_int_n] : (((image_439535603real_n @ (^[X1 : finite1489363574real_n] : (((minus_1037315151real_n @ X1) @ (minkow1134813771n_real @ X0))))) @ (t2 @ X0)))))),
0.18/0.56	  inference(rectify,[],[f337])).
0.18/0.56	thf(f337,axiom,(
0.18/0.56	  (t = (^[X42 : finite964658038_int_n] : (((image_439535603real_n @ (^[X15 : finite1489363574real_n] : (((minus_1037315151real_n @ X15) @ (minkow1134813771n_real @ X42))))) @ (t2 @ X42)))))),
0.18/0.56	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_T_H__def)).
0.18/0.56	thf(f1040,plain,(
0.18/0.56	  ( ! [X0 : finite964658038_int_n] : ((((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t @ X0)) = ((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t2 @ X0)))) )),
0.18/0.56	  inference(cnf_transformation,[],[f901])).
0.18/0.56	thf(f901,plain,(
0.18/0.56	  ! [X0 : finite964658038_int_n] : (((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t @ X0)) = ((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t2 @ X0)))),
0.18/0.56	  inference(rectify,[],[f309])).
0.18/0.56	thf(f309,axiom,(
0.18/0.56	  ! [X5 : finite964658038_int_n] : (((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t @ X5)) = ((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t2 @ X5)))),
0.18/0.56	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_emeasure__T_H)).
0.18/0.56	thf(f1197,plain,(
0.18/0.56	  (((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t2 @ (f @ sK19))) != ((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ ((image_439535603real_n @ ((cCOMB @ minus_1037315151real_n) @ (minkow1134813771n_real @ (f @ sK19)))) @ (t2 @ (f @ sK19)))))),
0.18/0.56	  inference(combinator_demodulation,[],[f1196])).
0.18/0.56	thf(f1196,plain,(
0.18/0.56	  ((((bCOMB @ (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n))) @ ((bCOMB @ t2) @ f)) @ sK19) != (((bCOMB @ (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n))) @ ((bCOMB @ ((sCOMB @ ((bCOMB @ image_439535603real_n) @ ((bCOMB @ (cCOMB @ minus_1037315151real_n)) @ minkow1134813771n_real))) @ t2)) @ f)) @ sK19))),
0.18/0.56	  inference(negative_extensionality,[],[f1157])).
0.18/0.56	thf(f1157,plain,(
0.18/0.56	  (((bCOMB @ (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n))) @ ((bCOMB @ t2) @ f)) != ((bCOMB @ (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n))) @ ((bCOMB @ ((sCOMB @ ((bCOMB @ image_439535603real_n) @ ((bCOMB @ (cCOMB @ minus_1037315151real_n)) @ minkow1134813771n_real))) @ t2)) @ f)))),
0.18/0.56	  inference(definition_unfolding,[],[f1037,f1041])).
0.18/0.56	thf(f1037,plain,(
0.18/0.56	  (((bCOMB @ (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n))) @ ((bCOMB @ t2) @ f)) != ((bCOMB @ (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n))) @ ((bCOMB @ t) @ f)))),
0.18/0.56	  inference(cnf_transformation,[],[f900])).
0.18/0.56	thf(f900,plain,(
0.18/0.56	  (((bCOMB @ (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n))) @ ((bCOMB @ t2) @ f)) != ((bCOMB @ (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n))) @ ((bCOMB @ t) @ f)))),
0.18/0.56	  inference(flattening,[],[f358])).
0.18/0.56	thf(f358,plain,(
0.18/0.56	  ~(((bCOMB @ (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n))) @ ((bCOMB @ t2) @ f)) = ((bCOMB @ (sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n))) @ ((bCOMB @ t) @ f)))),
0.18/0.56	  inference(fool_elimination,[],[f357])).
0.18/0.56	thf(f357,plain,(
0.18/0.56	  ~((^[X0 : nat] : (((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t2 @ (f @ X0))))) = (^[X1 : nat] : (((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t @ (f @ X1))))))),
0.18/0.56	  inference(rectify,[],[f231])).
0.18/0.56	thf(f231,negated_conjecture,(
0.18/0.56	  ~((^[X39 : nat] : (((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t2 @ (f @ X39))))) = (^[X39 : nat] : (((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t @ (f @ X39))))))),
0.18/0.56	  inference(negated_conjecture,[],[f230])).
0.18/0.56	thf(f230,conjecture,(
0.18/0.56	  ((^[X39 : nat] : (((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t2 @ (f @ X39))))) = (^[X39 : nat] : (((sigma_1536574303real_n @ (comple230862828real_n @ lebesg260170249real_n)) @ (t @ (f @ X39))))))),
0.18/0.56	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
0.18/0.56	% SZS output end Proof for theBenchmark
0.18/0.56	% (30983)------------------------------
0.18/0.56	% (30983)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.18/0.56	% (30983)Termination reason: Refutation
0.18/0.56	
0.18/0.56	% (30983)Memory used [KB]: 7803
0.18/0.56	% (30983)Time elapsed: 0.173 s
0.18/0.56	% (30983)------------------------------
0.18/0.56	% (30983)------------------------------
0.18/0.56	% (30968)Success in time 0.225 s
0.18/0.56	EOF