0.00/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.11	% Command    : run_vampire %s %d
0.10/0.32	% Computer   : n027.cluster.edu
0.10/0.32	% Model      : x86_64 x86_64
0.10/0.32	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.32	% Memory     : 8042.1875MB
0.10/0.32	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.32	% CPULimit   : 1200
0.10/0.32	% WCLimit    : 120
0.10/0.32	% DateTime   : Tue Jul 13 13:07:10 EDT 2021
0.10/0.32	% CPUTime    : 
0.10/0.32	This is a THF_ problem
0.10/0.32	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.10/0.33	Running in auto input_syntax mode. Trying TPTP
0.10/0.36	% (23157)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
0.10/0.37	% (23156)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
0.10/0.38	% (23161)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
0.10/0.38	% (23160)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
0.10/0.38	% (23159)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
0.10/0.38	% (23162)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
0.10/0.39	% (23158)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
0.10/0.39	% (23164)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
0.10/0.39	% (23179)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
0.10/0.39	% (23171)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
0.10/0.39	% (23185)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
0.10/0.40	% (23167)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
0.10/0.40	% (23163)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
0.10/0.40	% (23182)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
0.10/0.40	% (23170)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
0.10/0.40	% (23178)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
0.10/0.40	% (23165)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
0.10/0.41	% (23177)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
0.10/0.41	% (23176)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
0.10/0.41	% (23181)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
0.17/0.41	% (23175)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
0.17/0.41	% (23173)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
0.17/0.42	% (23166)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
0.17/0.42	% (23183)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
0.17/0.42	% (23184)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
0.17/0.42	% (23180)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
0.17/0.42	% (23168)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
0.17/0.43	% (23169)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
0.17/0.43	% (23172)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
0.17/0.44	% (23174)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
0.17/0.47	% (23160)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.47	% (23163)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.48	% (23162)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.48	% (23179)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.51	% (23178)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.51	% (23172)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.51	% (23165)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.51	% (23169)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.52	% (23171)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.52	% (23158)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.52	% (23181)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.52	% (23173)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.54	% (23180)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.55	% (23164)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.57	% (23165)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.58	% (23175)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.62	% (23170)First to succeed.
0.17/0.62	% (23172)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.62	% (23170)Refutation found. Thanks to Tanya!
0.17/0.62	% SZS status Theorem for theBenchmark
0.17/0.62	% SZS output start Proof for theBenchmark
0.17/0.62	thf(type_def_6, type, set_Pr2109276827od_b_b: $tType).
0.17/0.62	thf(type_def_7, type, produc970027067od_b_b: $tType).
0.17/0.62	thf(type_def_8, type, set_Pr1071216121od_b_b: $tType).
0.17/0.62	thf(type_def_9, type, set_Pr2134561957od_b_b: $tType).
0.17/0.62	thf(type_def_10, type, set_Pr1021918435od_b_b: $tType).
0.17/0.62	thf(type_def_11, type, produc1052326083od_b_b: $tType).
0.17/0.62	thf(type_def_12, type, produc1990339951od_b_b: $tType).
0.17/0.62	thf(type_def_13, type, set_Pr2060523537od_b_b: $tType).
0.17/0.62	thf(type_def_14, type, set_Pr1906739389_b_b_b: $tType).
0.17/0.62	thf(type_def_15, type, produc1605346267od_b_b: $tType).
0.17/0.62	thf(type_def_16, type, produc276146823_b_b_b: $tType).
0.17/0.62	thf(type_def_17, type, set_Pr306736955tant_a: $tType).
0.17/0.62	thf(type_def_18, type, set_Pr1324126435od_b_b: $tType).
0.17/0.62	thf(type_def_19, type, labele1835558936od_b_b: $tType).
0.17/0.62	thf(type_def_20, type, set_Pr2007082183od_b_b: $tType).
0.17/0.62	thf(type_def_21, type, produc1367125253tant_a: $tType).
0.17/0.62	thf(type_def_22, type, produc1213276845od_b_b: $tType).
0.17/0.62	thf(type_def_23, type, produc1168037607od_b_b: $tType).
0.17/0.62	thf(type_def_24, type, labele1159362096nt_a_b: $tType).
0.17/0.62	thf(type_def_25, type, set_Pr621705391od_b_b: $tType).
0.17/0.62	thf(type_def_26, type, set_Pr357419743_b_b_b: $tType).
0.17/0.62	thf(type_def_27, type, produc255402447od_b_b: $tType).
0.17/0.62	thf(type_def_28, type, produc2112523263_b_b_b: $tType).
0.17/0.62	thf(type_def_29, type, set_St761939237tant_a: $tType).
0.17/0.62	thf(type_def_30, type, set_Product_prod_b_b: $tType).
0.17/0.62	thf(type_def_31, type, standard_Constant_a: $tType).
0.17/0.62	thf(type_def_32, type, product_prod_b_b: $tType).
0.17/0.62	thf(type_def_33, type, set_b: $tType).
0.17/0.62	thf(type_def_34, type, b: $tType).
0.17/0.62	thf(type_def_35, type, >: ($tType * $tType) > $tType).
0.17/0.62	thf(func_def_36, type, equiv_1629197578_set_b: set_Pr2109276827od_b_b > set_Product_prod_b_b > (produc1213276845od_b_b > b > set_b) > $o).
0.17/0.62	thf(func_def_37, type, equiv_1036235914_set_b: set_Pr2007082183od_b_b > set_Product_prod_b_b > (product_prod_b_b > b > set_b) > $o).
0.17/0.62	thf(func_def_38, type, equiv_167626658_set_b: set_Product_prod_b_b > set_Product_prod_b_b > (b > b > set_b) > $o).
0.17/0.62	thf(func_def_39, type, equiv_1821124534_set_b: set_Product_prod_b_b > (b > set_b) > $o).
0.17/0.62	thf(func_def_40, type, equiv_2048442231od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b > $o).
0.17/0.62	thf(func_def_41, type, equiv_1125628061od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o).
0.17/0.62	thf(func_def_42, type, equiv_equiv_b: set_b > set_Product_prod_b_b > $o).
0.17/0.62	thf(func_def_43, type, equiv_proj_b_b: set_Product_prod_b_b > b > set_b).
0.17/0.62	thf(func_def_44, type, hilber46179633od_b_b: (produc1213276845od_b_b > $o) > produc1213276845od_b_b).
0.17/0.62	thf(func_def_45, type, hilber620807523od_b_b: (product_prod_b_b > $o) > product_prod_b_b).
0.17/0.62	thf(func_def_46, type, hilbert_Eps_b: (b > $o) > b).
0.17/0.62	thf(func_def_47, type, if_b: $o > b > b > b).
0.17/0.62	thf(func_def_48, type, standard_S_Idt_a: standard_Constant_a).
0.17/0.62	thf(func_def_49, type, getRel904497637nt_a_b: standard_Constant_a > labele1159362096nt_a_b > set_Product_prod_b_b).
0.17/0.62	thf(func_def_50, type, graph_792023598_b_b_b: labele1835558936od_b_b > labele1159362096nt_a_b > set_Pr357419743_b_b_b > $o).
0.17/0.62	thf(func_def_51, type, graph_222606102_a_b_b: labele1159362096nt_a_b > labele1159362096nt_a_b > set_Product_prod_b_b > $o).
0.17/0.62	thf(func_def_52, type, labele170595300od_b_b: set_Pr1021918435od_b_b > set_Product_prod_b_b > labele1835558936od_b_b).
0.17/0.62	thf(func_def_53, type, labele1230159100nt_a_b: set_Pr1324126435od_b_b > set_b > labele1159362096nt_a_b).
0.17/0.62	thf(func_def_54, type, labele377702064od_b_b: (set_Pr1324126435od_b_b > set_b > set_Pr1324126435od_b_b) > labele1159362096nt_a_b > set_Pr1324126435od_b_b).
0.17/0.62	thf(func_def_55, type, labele1287464530_set_b: (set_Pr1324126435od_b_b > set_b > set_b) > labele1159362096nt_a_b > set_b).
0.17/0.62	thf(func_def_56, type, labele1741081071nt_a_b: labele1159362096nt_a_b > set_Pr1324126435od_b_b).
0.17/0.62	thf(func_def_57, type, labele1424214014nt_a_b: labele1159362096nt_a_b > set_b).
0.17/0.62	thf(func_def_58, type, restri446606278nt_a_b: labele1159362096nt_a_b > labele1159362096nt_a_b).
0.17/0.62	thf(func_def_59, type, order_609163036od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o).
0.17/0.62	thf(func_def_60, type, order_653178932r_on_b: set_b > set_Product_prod_b_b > $o).
0.17/0.62	thf(func_def_61, type, bot_bo1734638456_b_b_o: standard_Constant_a > product_prod_b_b > $o).
0.17/0.62	thf(func_def_62, type, bot_bo1167600078_b_b_o: produc1213276845od_b_b > $o).
0.17/0.62	thf(func_def_63, type, bot_bo1302443370_b_b_o: product_prod_b_b > $o).
0.17/0.62	thf(func_def_64, type, bot_bot_b_b_o: b > b > $o).
0.17/0.62	thf(func_def_65, type, bot_bot_b_o: b > $o).
0.17/0.62	thf(func_def_66, type, bot_bo1160111033tant_a: set_St761939237tant_a).
0.17/0.62	thf(func_def_67, type, bot_bo1964903287od_b_b: set_Pr1021918435od_b_b).
0.17/0.62	thf(func_def_68, type, bot_bo1664927607od_b_b: set_Pr1324126435od_b_b).
0.17/0.62	thf(func_def_69, type, bot_bo1174586163od_b_b: set_Pr2007082183od_b_b).
0.17/0.62	thf(func_def_70, type, bot_bo1124087115_b_b_b: set_Pr357419743_b_b_b).
0.17/0.62	thf(func_def_71, type, bot_bo1343651123od_b_b: set_Product_prod_b_b).
0.17/0.62	thf(func_def_72, type, bot_bot_set_b: set_b).
0.17/0.62	thf(func_def_73, type, ord_le123089219od_b_b: set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > $o).
0.17/0.62	thf(func_def_74, type, ord_le1036320359od_b_b: set_Product_prod_b_b > set_Product_prod_b_b > $o).
0.17/0.62	thf(func_def_75, type, ord_less_eq_set_b: set_b > set_b > $o).
0.17/0.62	thf(func_def_76, type, produc1432590431od_b_b: standard_Constant_a > product_prod_b_b > produc1213276845od_b_b).
0.17/0.62	thf(func_def_77, type, produc449289715od_b_b: produc1213276845od_b_b > produc1213276845od_b_b > produc970027067od_b_b).
0.17/0.62	thf(func_def_78, type, produc1597690145od_b_b: produc1213276845od_b_b > product_prod_b_b > produc1990339951od_b_b).
0.17/0.62	thf(func_def_79, type, produc1580777273_b_b_b: produc1213276845od_b_b > b > produc276146823_b_b_b).
0.17/0.62	thf(func_def_80, type, produc1977323903tant_a: product_prod_b_b > standard_Constant_a > produc1367125253tant_a).
0.17/0.62	thf(func_def_81, type, produc732676669od_b_b: product_prod_b_b > produc1213276845od_b_b > produc1052326083od_b_b).
0.17/0.62	thf(func_def_82, type, produc546497367od_b_b: product_prod_b_b > product_prod_b_b > produc1168037607od_b_b).
0.17/0.62	thf(func_def_83, type, produc1001682799_b_b_b: product_prod_b_b > b > produc2112523263_b_b_b).
0.17/0.62	thf(func_def_84, type, produc800495189od_b_b: b > produc1213276845od_b_b > produc1605346267od_b_b).
0.17/0.62	thf(func_def_85, type, produc1257047359od_b_b: b > product_prod_b_b > produc255402447od_b_b).
0.17/0.62	thf(func_def_86, type, product_Pair_b_b: b > b > product_prod_b_b).
0.17/0.62	thf(func_def_87, type, image_1916422435od_b_b: set_Pr1324126435od_b_b > set_St761939237tant_a > set_Product_prod_b_b).
0.17/0.62	thf(func_def_88, type, image_763305007od_b_b: set_Pr2109276827od_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b).
0.17/0.62	thf(func_def_89, type, image_1397930469od_b_b: set_Pr2134561957od_b_b > set_Pr1324126435od_b_b > set_Product_prod_b_b).
0.17/0.62	thf(func_def_90, type, image_1764625405_b_b_b: set_Pr1906739389_b_b_b > set_Pr1324126435od_b_b > set_b).
0.17/0.62	thf(func_def_91, type, image_532916993od_b_b: set_Pr1071216121od_b_b > set_Product_prod_b_b > set_Pr1324126435od_b_b).
0.17/0.62	thf(func_def_92, type, image_1928024979od_b_b: set_Pr2007082183od_b_b > set_Product_prod_b_b > set_Product_prod_b_b).
0.17/0.62	thf(func_def_93, type, image_921732011_b_b_b: set_Pr357419743_b_b_b > set_Product_prod_b_b > set_b).
0.17/0.62	thf(func_def_94, type, image_984343321od_b_b: set_Pr2060523537od_b_b > set_b > set_Pr1324126435od_b_b).
0.17/0.62	thf(func_def_95, type, image_1177096571od_b_b: set_Pr621705391od_b_b > set_b > set_Product_prod_b_b).
0.17/0.62	thf(func_def_96, type, image_b_b: set_Product_prod_b_b > set_b > set_b).
0.17/0.62	thf(func_def_97, type, conver1398856763od_b_b: set_Pr1324126435od_b_b > set_Pr306736955tant_a).
0.17/0.62	thf(func_def_98, type, conver1943590235tant_a: set_Pr306736955tant_a > set_Pr1324126435od_b_b).
0.17/0.62	thf(func_def_99, type, converse_b_b: set_Product_prod_b_b > set_Product_prod_b_b).
0.17/0.62	thf(func_def_100, type, refl_o1921098222od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b > $o).
0.17/0.62	thf(func_def_101, type, refl_o2134473190od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o).
0.17/0.62	thf(func_def_102, type, refl_on_b: set_b > set_Product_prod_b_b > $o).
0.17/0.62	thf(func_def_103, type, total_771970601od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b > $o).
0.17/0.62	thf(func_def_104, type, total_178717291od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o).
0.17/0.62	thf(func_def_105, type, total_on_b: set_b > set_Product_prod_b_b > $o).
0.17/0.62	thf(func_def_106, type, collec279084418od_b_b: (produc1213276845od_b_b > $o) > set_Pr1324126435od_b_b).
0.17/0.62	thf(func_def_107, type, collec1481886546od_b_b: (product_prod_b_b > $o) > set_Product_prod_b_b).
0.17/0.62	thf(func_def_108, type, collect_b: (b > $o) > set_b).
0.17/0.62	thf(func_def_109, type, insert1909710879tant_a: standard_Constant_a > set_St761939237tant_a > set_St761939237tant_a).
0.17/0.62	thf(func_def_110, type, insert2037698781od_b_b: produc1213276845od_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b).
0.17/0.62	thf(func_def_111, type, insert1098249399od_b_b: produc1168037607od_b_b > set_Pr2007082183od_b_b > set_Pr2007082183od_b_b).
0.17/0.62	thf(func_def_112, type, insert1952693431od_b_b: product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b).
0.17/0.62	thf(func_def_113, type, insert_b: b > set_b > set_b).
0.17/0.62	thf(func_def_114, type, is_sin1465183929od_b_b: set_Pr1324126435od_b_b > $o).
0.17/0.62	thf(func_def_115, type, is_sin1713057243od_b_b: set_Product_prod_b_b > $o).
0.17/0.62	thf(func_def_116, type, is_singleton_b: set_b > $o).
0.17/0.62	thf(func_def_117, type, the_el329196508od_b_b: set_Product_prod_b_b > product_prod_b_b).
0.17/0.62	thf(func_def_118, type, the_elem_b: set_b > b).
0.17/0.62	thf(func_def_119, type, member1632892294tant_a: standard_Constant_a > set_St761939237tant_a > $o).
0.17/0.62	thf(func_def_120, type, member1516365892od_b_b: produc1213276845od_b_b > set_Pr1324126435od_b_b > $o).
0.17/0.62	thf(func_def_121, type, member1086024932od_b_b: produc970027067od_b_b > set_Pr2109276827od_b_b > $o).
0.17/0.62	thf(func_def_122, type, member942707974od_b_b: produc1990339951od_b_b > set_Pr2134561957od_b_b > $o).
0.17/0.62	thf(func_def_123, type, member1417789726_b_b_b: produc276146823_b_b_b > set_Pr1906739389_b_b_b > $o).
0.17/0.62	thf(func_def_124, type, member1670214300tant_a: produc1367125253tant_a > set_Pr306736955tant_a > $o).
0.17/0.62	thf(func_def_125, type, member4694106od_b_b: produc1052326083od_b_b > set_Pr1071216121od_b_b > $o).
0.17/0.62	thf(func_def_126, type, member1652792080od_b_b: produc1168037607od_b_b > set_Pr2007082183od_b_b > $o).
0.17/0.62	thf(func_def_127, type, member351494440_b_b_b: produc2112523263_b_b_b > set_Pr357419743_b_b_b > $o).
0.17/0.62	thf(func_def_128, type, member599505522od_b_b: produc1605346267od_b_b > set_Pr2060523537od_b_b > $o).
0.17/0.62	thf(func_def_129, type, member641857272od_b_b: produc255402447od_b_b > set_Pr621705391od_b_b > $o).
0.17/0.62	thf(func_def_130, type, member1285940496od_b_b: product_prod_b_b > set_Product_prod_b_b > $o).
0.17/0.62	thf(func_def_131, type, member_b: b > set_b > $o).
0.17/0.62	thf(func_def_132, type, g: labele1159362096nt_a_b).
0.17/0.62	thf(func_def_133, type, p: b > b > $o).
0.17/0.62	thf(func_def_134, type, f: b > b).
0.17/0.62	thf(func_def_135, type, x: b).
0.17/0.62	thf(func_def_136, type, y: b).
0.17/0.62	thf(func_def_138, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
0.17/0.62	thf(func_def_141, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
0.17/0.62	thf(func_def_142, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
0.17/0.62	thf(func_def_143, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
0.17/0.62	thf(func_def_144, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
0.17/0.62	thf(func_def_145, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
0.17/0.62	thf(func_def_146, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
0.17/0.62	thf(func_def_147, type, vIMP: $o > $o > $o).
0.17/0.62	thf(func_def_148, type, vNOT: $o > $o).
0.17/0.62	thf(func_def_149, type, vOR: $o > $o > $o).
0.17/0.62	thf(func_def_150, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)).
0.17/0.62	thf(func_def_151, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
0.17/0.62	thf(func_def_152, type, vAND: $o > $o > $o).
0.17/0.62	thf(func_def_153, type, sK0: set_b > b).
0.17/0.62	thf(func_def_154, type, sK1: set_b > b > set_b).
0.17/0.62	thf(func_def_155, type, sK2: set_b > b > set_b).
0.17/0.62	thf(func_def_156, type, sK3: (produc1213276845od_b_b > $o) > standard_Constant_a).
0.17/0.62	thf(func_def_157, type, sK4: (produc1213276845od_b_b > $o) > b).
0.17/0.62	thf(func_def_158, type, sK5: (produc1213276845od_b_b > $o) > b).
0.17/0.62	thf(func_def_159, type, sK6: (produc1213276845od_b_b > $o) > standard_Constant_a).
0.17/0.62	thf(func_def_160, type, sK7: (produc1213276845od_b_b > $o) > product_prod_b_b).
0.17/0.62	thf(func_def_161, type, sK8: (produc1213276845od_b_b > $o) > standard_Constant_a).
0.17/0.62	thf(func_def_162, type, sK9: (produc1213276845od_b_b > $o) > product_prod_b_b).
0.17/0.62	thf(func_def_163, type, sK10: produc1213276845od_b_b > standard_Constant_a).
0.17/0.62	thf(func_def_164, type, sK11: produc1213276845od_b_b > product_prod_b_b).
0.17/0.62	thf(func_def_165, type, sK12: produc1213276845od_b_b > standard_Constant_a).
0.17/0.62	thf(func_def_166, type, sK13: produc1213276845od_b_b > b).
0.17/0.62	thf(func_def_167, type, sK14: produc1213276845od_b_b > b).
0.17/0.62	thf(func_def_168, type, sK15: produc1213276845od_b_b > standard_Constant_a).
0.17/0.62	thf(func_def_169, type, sK16: produc1213276845od_b_b > product_prod_b_b).
0.17/0.62	thf(func_def_170, type, sK17: set_b > set_Product_prod_b_b > b > b).
0.17/0.62	thf(func_def_171, type, sK18: (b > $o) > (b > $o) > b).
0.17/0.62	thf(func_def_172, type, sK19: (b > $o) > (b > $o) > set_b > b).
0.17/0.62	thf(func_def_173, type, sK20: b > (b > $o) > b).
0.17/0.62	thf(func_def_174, type, sK21: (b > $o) > (b > $o) > b).
0.17/0.62	thf(func_def_175, type, sK22: b > (b > $o) > b).
0.17/0.62	thf(func_def_176, type, sK23: (b > $o) > (b > $o) > b).
0.17/0.62	thf(func_def_177, type, sK24: (product_prod_b_b > $o) > b).
0.17/0.62	thf(func_def_178, type, sK25: (product_prod_b_b > $o) > b).
0.17/0.62	thf(func_def_179, type, sK26: (product_prod_b_b > $o) > b).
0.17/0.62	thf(func_def_180, type, sK27: (product_prod_b_b > $o) > b).
0.17/0.62	thf(func_def_181, type, sK28: product_prod_b_b > b).
0.17/0.62	thf(func_def_182, type, sK29: product_prod_b_b > b).
0.17/0.62	thf(func_def_183, type, sK30: product_prod_b_b > b).
0.17/0.62	thf(func_def_184, type, sK31: product_prod_b_b > b).
0.17/0.62	thf(func_def_185, type, sK32: set_b > set_b > b).
0.17/0.62	thf(func_def_186, type, sK33: (b > $o) > (b > $o) > b).
0.17/0.62	thf(func_def_187, type, sK34: set_Product_prod_b_b > set_Product_prod_b_b > b).
0.17/0.62	thf(func_def_188, type, sK35: set_Product_prod_b_b > set_Product_prod_b_b > b).
0.17/0.62	thf(func_def_189, type, sK36: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b).
0.17/0.62	thf(func_def_190, type, sK37: (b > $o) > (b > $o) > b).
0.17/0.62	thf(func_def_191, type, sK38: set_Product_prod_b_b > product_prod_b_b).
0.17/0.62	thf(func_def_192, type, sK39: set_Pr1324126435od_b_b > produc1213276845od_b_b).
0.17/0.62	thf(func_def_193, type, sK40: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b).
0.17/0.62	thf(func_def_194, type, sK41: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b).
0.17/0.62	thf(func_def_195, type, sK42: (b > b > $o) > set_Product_prod_b_b > b).
0.17/0.62	thf(func_def_196, type, sK43: (b > b > $o) > set_Product_prod_b_b > b).
0.17/0.62	thf(func_def_197, type, sK44: set_Product_prod_b_b > product_prod_b_b > b).
0.17/0.62	thf(func_def_198, type, sK45: set_Product_prod_b_b > product_prod_b_b > b).
0.17/0.62	thf(func_def_199, type, sK46: set_Pr1324126435od_b_b > produc1213276845od_b_b > set_Pr1324126435od_b_b).
0.17/0.62	thf(func_def_200, type, sK47: set_Pr1324126435od_b_b > produc1213276845od_b_b > set_Pr1324126435od_b_b).
0.17/0.62	thf(f1546,plain,(
0.17/0.62	  $false),
0.17/0.62	  inference(trivial_inequality_removal,[],[f1545])).
0.17/0.62	thf(f1545,plain,(
0.17/0.62	  ((hilbert_Eps_b @ ((cCOMB @ member_b) @ ((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ x) @ bot_bot_set_b)))) != (hilbert_Eps_b @ ((cCOMB @ member_b) @ ((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ x) @ bot_bot_set_b)))))),
0.17/0.62	  inference(forward_demodulation,[],[f1205,f1208])).
0.17/0.62	thf(f1208,plain,(
0.17/0.62	  (((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ x) @ bot_bot_set_b)) = ((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ y) @ bot_bot_set_b)))),
0.17/0.62	  inference(cnf_transformation,[],[f229])).
0.17/0.62	thf(f229,axiom,(
0.17/0.62	  (((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ x) @ bot_bot_set_b)) = ((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ y) @ bot_bot_set_b)))),
0.17/0.62	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062getRel_AS__Idt_AG_A_096_096_A_123x_125_A_061_AgetRel_AS__Idt_AG_A_096_096_A_123y_125_092_060close_062)).
0.17/0.62	thf(f1205,plain,(
0.17/0.62	  ((hilbert_Eps_b @ ((cCOMB @ member_b) @ ((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ x) @ bot_bot_set_b)))) != (hilbert_Eps_b @ ((cCOMB @ member_b) @ ((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ y) @ bot_bot_set_b)))))),
0.17/0.62	  inference(cnf_transformation,[],[f964])).
0.17/0.62	thf(f964,plain,(
0.17/0.62	  ((hilbert_Eps_b @ ((cCOMB @ member_b) @ ((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ x) @ bot_bot_set_b)))) != (hilbert_Eps_b @ ((cCOMB @ member_b) @ ((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ y) @ bot_bot_set_b)))))),
0.17/0.62	  inference(flattening,[],[f363])).
0.17/0.62	thf(f363,plain,(
0.17/0.62	  ~((hilbert_Eps_b @ ((cCOMB @ member_b) @ ((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ x) @ bot_bot_set_b)))) = (hilbert_Eps_b @ ((cCOMB @ member_b) @ ((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ y) @ bot_bot_set_b)))))),
0.17/0.62	  inference(fool_elimination,[],[f362])).
0.17/0.62	thf(f362,plain,(
0.17/0.62	  ~((hilbert_Eps_b @ (^[X0 : b] : (((member_b @ X0) @ ((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ x) @ bot_bot_set_b)))))) = (hilbert_Eps_b @ (^[X1 : b] : (((member_b @ X1) @ ((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ y) @ bot_bot_set_b)))))))),
0.17/0.62	  inference(rectify,[],[f193])).
0.17/0.62	thf(f193,negated_conjecture,(
0.17/0.62	  ~((hilbert_Eps_b @ (^[X10 : b] : (((member_b @ X10) @ ((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ x) @ bot_bot_set_b)))))) = (hilbert_Eps_b @ (^[X10 : b] : (((member_b @ X10) @ ((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ y) @ bot_bot_set_b)))))))),
0.17/0.62	  inference(negated_conjecture,[],[f192])).
0.17/0.62	thf(f192,conjecture,(
0.17/0.62	  ((hilbert_Eps_b @ (^[X10 : b] : (((member_b @ X10) @ ((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ x) @ bot_bot_set_b)))))) = (hilbert_Eps_b @ (^[X10 : b] : (((member_b @ X10) @ ((image_b_b @ ((getRel904497637nt_a_b @ standard_S_Idt_a) @ g)) @ ((insert_b @ y) @ bot_bot_set_b)))))))),
0.17/0.62	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
0.17/0.62	% SZS output end Proof for theBenchmark
0.17/0.62	% (23170)------------------------------
0.17/0.62	% (23170)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.17/0.62	% (23170)Termination reason: Refutation
0.17/0.62	
0.17/0.62	% (23170)Memory used [KB]: 8315
0.17/0.62	% (23170)Time elapsed: 0.085 s
0.17/0.62	% (23170)------------------------------
0.17/0.62	% (23170)------------------------------
0.17/0.62	% (23155)Success in time 0.292 s
0.17/0.63	EOF