0.02/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.11	% Command    : run_vampire %s %d
0.10/0.31	% Computer   : n021.cluster.edu
0.10/0.31	% Model      : x86_64 x86_64
0.10/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory     : 8042.1875MB
0.10/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 1200
0.10/0.31	% WCLimit    : 120
0.10/0.31	% DateTime   : Tue Jul 13 14:11:25 EDT 2021
0.10/0.31	% CPUTime    : 
0.15/0.31	This is a THF_ problem
0.15/0.32	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.15/0.32	Running in auto input_syntax mode. Trying TPTP
0.17/0.39	% (29315)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
0.17/0.39	% (29331)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
0.17/0.39	% (29319)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
0.17/0.40	% (29317)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
0.17/0.40	% (29321)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
0.17/0.40	% (29332)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
0.17/0.40	% (29320)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
0.17/0.40	% (29322)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
0.17/0.40	% (29324)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
0.17/0.40	% (29309)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
0.17/0.40	% (29323)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
0.17/0.41	% (29316)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
0.17/0.42	% (29311)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
0.17/0.42	% (29310)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
0.17/0.42	% (29334)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
0.17/0.42	% (29312)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
0.17/0.42	% (29313)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
0.17/0.42	% (29314)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
0.17/0.42	% (29326)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
0.17/0.43	% (29335)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
0.17/0.43	% (29333)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
0.17/0.43	% (29336)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
0.17/0.43	% (29327)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
0.17/0.43	% (29329)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
0.17/0.43	% (29330)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
0.17/0.44	% (29337)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
0.17/0.44	% (29338)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
0.17/0.44	% (29318)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
0.17/0.44	% (29325)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	% (29328)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
0.17/0.49	% (29315)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.52	% (29316)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.54	% (29322)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.54	% (29332)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.56	% (29313)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.57	% (29331)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.58	% (29325)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.58	% (29318)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.59	% (29334)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.67/0.60	% (29326)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.67/0.60	% (29311)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.67/0.61	% (29324)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
2.04/0.63	% (29333)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
2.04/0.65	% (29317)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
2.44/0.69	% (29325)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
2.44/0.69	% (29328)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
2.44/0.69	% (29318)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
2.44/0.74	% (29332)First to succeed.
3.15/0.76	% (29332)Refutation found. Thanks to Tanya!
3.15/0.76	% SZS status Theorem for theBenchmark
3.15/0.76	% SZS output start Proof for theBenchmark
3.15/0.76	thf(type_def_6, type, produc1418842292n_game: $tType).
3.15/0.76	thf(type_def_7, type, produc62062515n_game: $tType).
3.15/0.76	thf(type_def_8, type, produc799602994n_game: $tType).
3.15/0.76	thf(type_def_9, type, produc1739631244on_fml: $tType).
3.15/0.76	thf(type_def_10, type, option_game: $tType).
3.15/0.76	thf(type_def_11, type, option_trm: $tType).
3.15/0.76	thf(type_def_12, type, option_fml: $tType).
3.15/0.76	thf(type_def_13, type, set_variable: $tType).
3.15/0.76	thf(type_def_14, type, variable: $tType).
3.15/0.76	thf(type_def_15, type, game: $tType).
3.15/0.76	thf(type_def_16, type, char: $tType).
3.15/0.76	thf(type_def_17, type, trm: $tType).
3.15/0.76	thf(type_def_18, type, fml: $tType).
3.15/0.76	thf(type_def_19, type, >: ($tType * $tType) > $tType).
3.15/0.76	thf(func_def_20, type, if_option_fml: $o > option_fml > option_fml > option_fml).
3.15/0.76	thf(func_def_21, type, if_option_trm: $o > option_trm > option_trm > option_trm).
3.15/0.76	thf(func_def_22, type, inf_inf_variable_o: (variable > $o) > (variable > $o) > variable > $o).
3.15/0.76	thf(func_def_23, type, inf_inf_o: $o > $o > $o).
3.15/0.76	thf(func_def_24, type, inf_inf_set_variable: set_variable > set_variable > set_variable).
3.15/0.76	thf(func_def_25, type, none_fml: option_fml).
3.15/0.76	thf(func_def_26, type, none_game: option_game).
3.15/0.76	thf(func_def_27, type, none_trm: option_trm).
3.15/0.76	thf(func_def_28, type, some_fml: fml > option_fml).
3.15/0.76	thf(func_def_29, type, some_game: game > option_game).
3.15/0.76	thf(func_def_30, type, some_trm: trm > option_trm).
3.15/0.76	thf(func_def_31, type, case_option_o_fml: $o > (fml > $o) > option_fml > $o).
3.15/0.76	thf(func_def_32, type, case_option_o_game: $o > (game > $o) > option_game > $o).
3.15/0.76	thf(func_def_33, type, case_option_o_trm: $o > (trm > $o) > option_trm > $o).
3.15/0.76	thf(func_def_34, type, case_o209804997ml_fml: option_fml > (fml > option_fml) > option_fml > option_fml).
3.15/0.76	thf(func_def_35, type, case_o325794063ml_trm: option_fml > (trm > option_fml) > option_trm > option_fml).
3.15/0.76	thf(func_def_36, type, case_o487727941rm_trm: option_trm > (trm > option_trm) > option_trm > option_trm).
3.15/0.76	thf(func_def_37, type, the_fml: option_fml > fml).
3.15/0.76	thf(func_def_38, type, the_game: option_game > game).
3.15/0.76	thf(func_def_39, type, the_trm: option_trm > trm).
3.15/0.76	thf(func_def_40, type, bot_bot_variable_o: variable > $o).
3.15/0.76	thf(func_def_41, type, bot_bot_set_variable: set_variable).
3.15/0.76	thf(func_def_42, type, ord_le1407353162able_o: (variable > $o) > (variable > $o) > $o).
3.15/0.76	thf(func_def_43, type, ord_le282106107riable: set_variable > set_variable > $o).
3.15/0.76	thf(func_def_44, type, produc2124676926on_fml: option_game > option_fml > produc1739631244on_fml).
3.15/0.76	thf(func_def_45, type, produc1598111045on_fml: ((char > option_fml) > (char > option_game) > char > option_fml) > produc799602994n_game > char > option_fml).
3.15/0.76	thf(func_def_46, type, produc1214549391on_trm: ((char > option_fml) > (char > option_game) > char > option_trm) > produc799602994n_game > char > option_trm).
3.15/0.76	thf(func_def_47, type, produc1591622303on_fml: ((char > option_fml) > (char > option_game) > option_fml) > produc799602994n_game > option_fml).
3.15/0.76	thf(func_def_48, type, produc2129367017on_trm: ((char > option_fml) > (char > option_game) > option_trm) > produc799602994n_game > option_trm).
3.15/0.76	thf(func_def_49, type, produc377919108on_fml: ((char > option_trm) > produc799602994n_game > char > option_fml) > produc62062515n_game > char > option_fml).
3.15/0.76	thf(func_def_50, type, produc2141841102on_trm: ((char > option_trm) > produc799602994n_game > char > option_trm) > produc62062515n_game > char > option_trm).
3.15/0.76	thf(func_def_51, type, produc1903410526on_fml: ((char > option_trm) > produc799602994n_game > option_fml) > produc62062515n_game > option_fml).
3.15/0.76	thf(func_def_52, type, produc293671592on_trm: ((char > option_trm) > produc799602994n_game > option_trm) > produc62062515n_game > option_trm).
3.15/0.76	thf(func_def_53, type, produc1278328899on_fml: ((char > option_trm) > produc62062515n_game > char > option_fml) > produc1418842292n_game > char > option_fml).
3.15/0.76	thf(func_def_54, type, produc724717725on_fml: ((char > option_trm) > produc62062515n_game > option_fml) > produc1418842292n_game > option_fml).
3.15/0.76	thf(func_def_55, type, produc1420172399on_fml: ((char > option_fml) > (char > option_game) > char > option_fml) > produc799602994n_game > char > option_fml).
3.15/0.76	thf(func_def_56, type, produc1036610745on_trm: ((char > option_fml) > (char > option_game) > char > option_trm) > produc799602994n_game > char > option_trm).
3.15/0.76	thf(func_def_57, type, produc347802313on_fml: ((char > option_fml) > (char > option_game) > option_fml) > produc799602994n_game > option_fml).
3.15/0.76	thf(func_def_58, type, produc885547027on_trm: ((char > option_fml) > (char > option_game) > option_trm) > produc799602994n_game > option_trm).
3.15/0.76	thf(func_def_59, type, produc1615133358on_fml: ((char > option_trm) > produc799602994n_game > char > option_fml) > produc62062515n_game > char > option_fml).
3.15/0.76	thf(func_def_60, type, produc1231571704on_trm: ((char > option_trm) > produc799602994n_game > char > option_trm) > produc62062515n_game > char > option_trm).
3.15/0.76	thf(func_def_61, type, produc154833544on_fml: ((char > option_trm) > produc799602994n_game > option_fml) > produc62062515n_game > option_fml).
3.15/0.76	thf(func_def_62, type, produc692578258on_trm: ((char > option_trm) > produc799602994n_game > option_trm) > produc62062515n_game > option_trm).
3.15/0.76	thf(func_def_63, type, produc1250175341on_fml: ((char > option_trm) > produc62062515n_game > char > option_fml) > produc1418842292n_game > char > option_fml).
3.15/0.76	thf(func_def_64, type, produc866613687on_trm: ((char > option_trm) > produc62062515n_game > char > option_trm) > produc1418842292n_game > char > option_trm).
3.15/0.76	thf(func_def_65, type, produc1499310791on_fml: ((char > option_trm) > produc62062515n_game > option_fml) > produc1418842292n_game > option_fml).
3.15/0.76	thf(func_def_66, type, collect_variable: (variable > $o) > set_variable).
3.15/0.76	thf(func_def_67, type, is_empty_variable: set_variable > $o).
3.15/0.76	thf(func_def_68, type, static_FVF: fml > set_variable).
3.15/0.76	thf(func_def_69, type, static_FVT: trm > set_variable).
3.15/0.76	thf(func_def_70, type, geq: trm > trm > fml).
3.15/0.76	thf(func_def_71, type, pred: char > trm > fml).
3.15/0.76	thf(func_def_72, type, const: char > trm).
3.15/0.76	thf(func_def_73, type, func: char > trm > trm).
3.15/0.76	thf(func_def_74, type, uSubst152838031e_Geqo: option_trm > option_trm > option_fml).
3.15/0.76	thf(func_def_75, type, uSubst1408967625substt: trm > produc1418842292n_game).
3.15/0.76	thf(func_def_76, type, uSubst1559070963pconst: produc1418842292n_game > set_variable > char > option_trm).
3.15/0.76	thf(func_def_77, type, uSubst516392804stappf: produc1418842292n_game > set_variable > fml > option_fml).
3.15/0.76	thf(func_def_78, type, uSubst516392818stappt: produc1418842292n_game > set_variable > trm > option_trm).
3.15/0.76	thf(func_def_79, type, member_variable: variable > set_variable > $o).
3.15/0.76	thf(func_def_80, type, ua: set_variable).
3.15/0.76	thf(func_def_81, type, va: set_variable).
3.15/0.76	thf(func_def_82, type, sigma: produc1418842292n_game).
3.15/0.76	thf(func_def_83, type, theta: trm).
3.15/0.76	thf(func_def_84, type, p: char).
3.15/0.76	thf(func_def_85, type, vv: set_variable > set_variable > variable).
3.15/0.76	thf(func_def_86, type, vva: set_variable > set_variable > variable).
3.15/0.76	thf(func_def_88, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
3.15/0.76	thf(func_def_91, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
3.15/0.76	thf(func_def_92, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
3.15/0.76	thf(func_def_93, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
3.15/0.76	thf(func_def_94, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
3.15/0.76	thf(func_def_95, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
3.15/0.76	thf(func_def_96, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)).
3.15/0.76	thf(func_def_97, type, vAND: $o > $o > $o).
3.15/0.76	thf(func_def_98, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
3.15/0.76	thf(func_def_99, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
3.15/0.76	thf(func_def_100, type, vOR: $o > $o > $o).
3.15/0.76	thf(func_def_101, type, vIMP: $o > $o > $o).
3.15/0.76	thf(func_def_102, type, vNOT: $o > $o).
3.15/0.76	thf(func_def_103, type, sP0: set_variable > produc1418842292n_game > char > $o).
3.15/0.76	thf(func_def_104, type, sP1: (option_fml > option_trm > $o) > option_fml > option_trm > $o).
3.15/0.76	thf(func_def_105, type, sP2: (option_fml > option_trm > $o) > option_fml > option_trm > $o).
3.15/0.76	thf(func_def_106, type, sP3: (option_trm > option_fml > $o) > option_trm > option_fml > $o).
3.15/0.76	thf(func_def_107, type, sP4: (option_trm > option_fml > $o) > option_trm > option_fml > $o).
3.15/0.76	thf(func_def_108, type, sP5: (option_trm > option_trm > $o) > option_trm > option_trm > $o).
3.15/0.76	thf(func_def_109, type, sP6: (option_trm > option_trm > $o) > option_trm > option_trm > $o).
3.15/0.76	thf(func_def_110, type, sP7: (option_trm > option_game > $o) > option_trm > option_game > $o).
3.15/0.76	thf(func_def_111, type, sP8: (option_trm > option_game > $o) > option_trm > option_game > $o).
3.15/0.76	thf(func_def_112, type, sP9: (option_game > option_trm > $o) > option_game > option_trm > $o).
3.15/0.76	thf(func_def_113, type, sP10: (option_game > option_trm > $o) > option_game > option_trm > $o).
3.15/0.76	thf(func_def_114, type, sP11: option_trm > option_trm > $o).
3.15/0.76	thf(func_def_116, type, sP13: (set_variable > set_variable > set_variable) > $o).
3.15/0.76	thf(func_def_117, type, sP14: (option_fml > option_fml > $o) > option_fml > option_fml > $o).
3.15/0.76	thf(func_def_118, type, sP15: (option_fml > option_fml > $o) > option_fml > option_fml > $o).
3.15/0.76	thf(func_def_119, type, sP16: (option_fml > option_game > $o) > option_fml > option_game > $o).
3.15/0.76	thf(func_def_120, type, sP17: (option_fml > option_game > $o) > option_fml > option_game > $o).
3.15/0.76	thf(func_def_121, type, sP18: (option_game > option_fml > $o) > option_game > option_fml > $o).
3.15/0.76	thf(func_def_122, type, sP19: (option_game > option_fml > $o) > option_game > option_fml > $o).
3.15/0.76	thf(func_def_123, type, sP20: option_fml > option_fml > $o).
3.15/0.76	thf(func_def_124, type, sP21: (option_game > option_game > $o) > option_game > option_game > $o).
3.15/0.76	thf(func_def_125, type, sP22: (option_game > option_game > $o) > option_game > option_game > $o).
3.15/0.76	thf(func_def_126, type, sP23: set_variable > produc1418842292n_game > char > $o).
3.15/0.76	thf(func_def_127, type, sP24: option_fml > $o > $o).
3.15/0.76	thf(func_def_128, type, sK25: set_variable > produc1418842292n_game > char > fml).
3.15/0.76	thf(func_def_129, type, sK26: (option_trm > option_trm > $o) > trm).
3.15/0.76	thf(func_def_130, type, sK27: (option_trm > option_trm > $o) > option_trm).
3.15/0.76	thf(func_def_131, type, sK28: (option_trm > option_trm > $o) > trm).
3.15/0.76	thf(func_def_132, type, sK29: (option_trm > option_trm > $o) > trm).
3.15/0.76	thf(func_def_133, type, sK30: (char > option_trm > $o) > char).
3.15/0.76	thf(func_def_134, type, sK31: (char > option_trm > $o) > char).
3.15/0.76	thf(func_def_135, type, sK32: (char > option_trm > $o) > trm).
3.15/0.76	thf(func_def_136, type, sK33: (variable > option_trm > $o) > variable).
3.15/0.76	thf(func_def_137, type, sK34: (variable > option_trm > $o) > variable).
3.15/0.76	thf(func_def_138, type, sK35: (variable > option_trm > $o) > trm).
3.15/0.76	thf(func_def_139, type, sK36: (option_fml > option_trm > $o) > option_fml > option_trm > fml).
3.15/0.76	thf(func_def_140, type, sK37: (option_fml > option_trm > $o) > option_fml > option_trm > trm).
3.15/0.76	thf(func_def_141, type, sK38: (option_trm > option_fml > $o) > option_trm > option_fml > trm).
3.15/0.76	thf(func_def_142, type, sK39: (option_trm > option_fml > $o) > option_trm > option_fml > fml).
3.15/0.76	thf(func_def_143, type, sK40: (option_trm > option_trm > $o) > option_trm > option_trm > trm).
3.15/0.76	thf(func_def_144, type, sK41: (option_trm > option_trm > $o) > option_trm > option_trm > trm).
3.15/0.76	thf(func_def_145, type, sK42: (option_trm > option_game > $o) > option_trm > option_game > trm).
3.15/0.76	thf(func_def_146, type, sK43: (option_trm > option_game > $o) > option_trm > option_game > game).
3.15/0.76	thf(func_def_147, type, sK44: (option_game > option_trm > $o) > option_game > option_trm > game).
3.15/0.76	thf(func_def_148, type, sK45: (option_game > option_trm > $o) > option_game > option_trm > trm).
3.15/0.76	thf(func_def_149, type, sK46: (option_trm > $o) > trm).
3.15/0.76	thf(func_def_150, type, sK47: (option_trm > $o) > trm).
3.15/0.76	thf(func_def_151, type, sK48: option_trm > trm).
3.15/0.76	thf(func_def_152, type, sK49: option_trm > trm).
3.15/0.76	thf(func_def_153, type, sK50: (set_variable > set_variable) > set_variable).
3.15/0.76	thf(func_def_154, type, sK51: (set_variable > set_variable) > set_variable).
3.15/0.76	thf(func_def_155, type, sK52: (set_variable > set_variable) > set_variable).
3.15/0.76	thf(func_def_156, type, sK53: (set_variable > set_variable) > set_variable).
3.15/0.76	thf(func_def_157, type, sK54: (set_variable > set_variable) > set_variable).
3.15/0.76	thf(func_def_158, type, sK55: (set_variable > set_variable) > set_variable).
3.15/0.76	thf(func_def_159, type, sK56: (set_variable > set_variable) > set_variable).
3.15/0.76	thf(func_def_160, type, sK57: (set_variable > set_variable) > set_variable).
3.15/0.76	thf(func_def_161, type, sK58: (set_variable > set_variable > set_variable) > set_variable).
3.15/0.76	thf(func_def_162, type, sK59: (set_variable > set_variable > set_variable) > set_variable).
3.15/0.76	thf(func_def_163, type, sK60: (set_variable > set_variable > set_variable) > set_variable).
3.15/0.76	thf(func_def_164, type, sK61: (set_variable > set_variable > set_variable) > set_variable).
3.15/0.76	thf(func_def_165, type, sK62: (set_variable > set_variable > set_variable) > set_variable).
3.15/0.76	thf(func_def_166, type, sK63: (set_variable > set_variable > set_variable) > set_variable).
3.15/0.76	thf(func_def_167, type, sK64: (set_variable > set_variable > set_variable) > set_variable).
3.15/0.76	thf(func_def_168, type, sK65: set_variable > set_variable > variable).
3.15/0.76	thf(func_def_169, type, sK66: set_variable > set_variable > variable).
3.15/0.76	thf(func_def_170, type, sK67: set_variable > variable).
3.15/0.76	thf(func_def_171, type, sK68: set_variable > variable).
3.15/0.76	thf(func_def_172, type, sK69: (option_fml > option_fml > $o) > fml).
3.15/0.76	thf(func_def_173, type, sK70: (option_fml > option_fml > $o) > option_fml).
3.15/0.76	thf(func_def_174, type, sK71: (option_fml > option_fml > $o) > fml).
3.15/0.76	thf(func_def_175, type, sK72: (option_fml > option_fml > $o) > fml).
3.15/0.76	thf(func_def_176, type, sK73: (option_game > option_fml > $o) > game).
3.15/0.76	thf(func_def_177, type, sK74: (option_game > option_fml > $o) > option_fml).
3.15/0.76	thf(func_def_178, type, sK75: (option_game > option_fml > $o) > game).
3.15/0.76	thf(func_def_179, type, sK76: (option_game > option_fml > $o) > fml).
3.15/0.76	thf(func_def_180, type, sK77: (variable > option_fml > $o) > variable).
3.15/0.76	thf(func_def_181, type, sK78: (variable > option_fml > $o) > variable).
3.15/0.76	thf(func_def_182, type, sK79: (variable > option_fml > $o) > fml).
3.15/0.76	thf(func_def_183, type, sK80: (option_fml > option_fml > $o) > option_fml > option_fml > fml).
3.15/0.76	thf(func_def_184, type, sK81: (option_fml > option_fml > $o) > option_fml > option_fml > fml).
3.15/0.76	thf(func_def_185, type, sK82: (option_fml > option_game > $o) > option_fml > option_game > fml).
3.15/0.76	thf(func_def_186, type, sK83: (option_fml > option_game > $o) > option_fml > option_game > game).
3.15/0.76	thf(func_def_187, type, sK84: (option_game > option_fml > $o) > option_game > option_fml > game).
3.15/0.76	thf(func_def_188, type, sK85: (option_game > option_fml > $o) > option_game > option_fml > fml).
3.15/0.76	thf(func_def_189, type, sK86: (option_fml > $o) > fml).
3.15/0.76	thf(func_def_190, type, sK87: (option_fml > $o) > fml).
3.15/0.76	thf(func_def_191, type, sK88: option_fml > fml).
3.15/0.76	thf(func_def_192, type, sK89: option_fml > fml).
3.15/0.76	thf(func_def_193, type, sK90: (option_game > option_game > $o) > game).
3.15/0.76	thf(func_def_194, type, sK91: (option_game > option_game > $o) > option_game).
3.15/0.76	thf(func_def_195, type, sK92: (option_game > option_game > $o) > game).
3.15/0.76	thf(func_def_196, type, sK93: (option_game > option_game > $o) > game).
3.15/0.76	thf(func_def_197, type, sK94: (option_game > option_game > $o) > option_game > option_game > game).
3.15/0.76	thf(func_def_198, type, sK95: (option_game > option_game > $o) > option_game > option_game > game).
3.15/0.76	thf(func_def_199, type, sK96: (option_game > $o) > game).
3.15/0.76	thf(func_def_200, type, sK97: (option_game > $o) > game).
3.15/0.76	thf(func_def_201, type, sK98: option_game > game).
3.15/0.76	thf(func_def_202, type, sK99: option_game > game).
3.15/0.76	thf(func_def_203, type, sK100: set_variable > produc1418842292n_game > char > trm).
3.15/0.76	thf(func_def_204, type, sK101: char > set_variable > produc1418842292n_game > trm).
3.15/0.76	thf(func_def_205, type, sK102: option_fml > (fml > $o) > fml).
3.15/0.76	thf(func_def_207, type, sK104: option_fml > fml).
3.15/0.76	thf(func_def_208, type, sK105: option_fml > fml).
3.15/0.76	thf(func_def_209, type, sK106: option_game > game).
3.15/0.76	thf(func_def_210, type, sK107: option_fml > fml).
3.15/0.76	thf(f1984,plain,(
3.15/0.76	  $false),
3.15/0.76	  inference(global_subsumption,[],[f1983,f1982,f1981])).
3.15/0.76	thf(f1981,plain,(
3.15/0.76	  ((((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)) = (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (cCOMB @ ((bCOMB @ produc347802313on_fml) @ (cCOMB @ ((bCOMB @ cCOMB) @ kCOMB)))))))) @ sigma) @ p)) | ((((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)) = (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (cCOMB @ ((bCOMB @ produc347802313on_fml) @ (cCOMB @ ((bCOMB @ cCOMB) @ kCOMB)))))))) @ sigma) @ p)))) @ va)) @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (cCOMB @ ((bCOMB @ produc347802313on_fml) @ (cCOMB @ ((bCOMB @ cCOMB) @ kCOMB)))))))) @ sigma) @ p))))),
3.15/0.76	  inference(combinator_demodulation,[],[f1980])).
3.15/0.76	thf(f1980,plain,(
3.15/0.76	  ((((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)) = (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ produc347802313on_fml)) @ ((bCOMB @ cCOMB) @ (bCOMB @ cCOMB)))) @ kCOMB))))) @ sigma) @ p)) | ((((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)) = (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ produc347802313on_fml)) @ ((bCOMB @ cCOMB) @ (bCOMB @ cCOMB)))) @ kCOMB))))) @ sigma) @ p)))) @ va)) @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ produc347802313on_fml)) @ ((bCOMB @ cCOMB) @ (bCOMB @ cCOMB)))) @ kCOMB))))) @ sigma) @ p))))),
3.15/0.76	  inference(trivial_inequality_removal,[],[f1608])).
3.15/0.76	thf(f1608,plain,(
3.15/0.76	  ((((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)) = (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ produc347802313on_fml)) @ ((bCOMB @ cCOMB) @ (bCOMB @ cCOMB)))) @ kCOMB))))) @ sigma) @ p)) | ((((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)) = (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ produc347802313on_fml)) @ ((bCOMB @ cCOMB) @ (bCOMB @ cCOMB)))) @ kCOMB))))) @ sigma) @ p)))) @ va)) @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ produc347802313on_fml)) @ ((bCOMB @ cCOMB) @ (bCOMB @ cCOMB)))) @ kCOMB))))) @ sigma) @ p)))) | (((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ produc347802313on_fml)) @ ((bCOMB @ cCOMB) @ (bCOMB @ cCOMB)))) @ kCOMB))))) @ sigma) @ p)))) @ va) != ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ produc347802313on_fml)) @ ((bCOMB @ cCOMB) @ (bCOMB @ cCOMB)))) @ kCOMB))))) @ sigma) @ p)))) @ va))),
3.15/0.76	  inference(definition_unfolding,[],[f1304,f1301,f1548,f1603,f1548,f1603,f1548])).
3.15/0.76	thf(f1603,plain,(
3.15/0.76	  (bot_bot_set_variable = ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ produc347802313on_fml)) @ ((bCOMB @ cCOMB) @ (bCOMB @ cCOMB)))) @ kCOMB))))) @ sigma) @ p)))) @ va))),
3.15/0.76	  inference(definition_unfolding,[],[f1302,f1548])).
3.15/0.76	thf(f1302,plain,(
3.15/0.76	  (bot_bot_set_variable = ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p)))) @ va))),
3.15/0.76	  inference(cnf_transformation,[],[f937])).
3.15/0.76	thf(f937,plain,(
3.15/0.76	  (none_fml != (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p)))) & (bot_bot_set_variable = ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p)))) @ va))),
3.15/0.77	  inference(ennf_transformation,[],[f458])).
3.15/0.77	thf(f458,plain,(
3.15/0.77	  ~((bot_bot_set_variable = ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p)))) @ va)) => (none_fml = (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p)))))),
3.15/0.77	  inference(fool_elimination,[],[f457])).
3.15/0.77	thf(f457,plain,(
3.15/0.77	  ~((((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (^[X0 : char > option_trm] : ((produc1615133358on_fml @ (^[X1 : char > option_trm] : ((produc1420172399on_fml @ (^[X2 : char > option_fml, X3 : char > option_game] : (X2))))))))) @ sigma) @ p)))) @ va) = bot_bot_set_variable) => ((((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ (the_fml @ (((produc1250175341on_fml @ (^[X4 : char > option_trm] : ((produc1615133358on_fml @ (^[X5 : char > option_trm] : ((produc1420172399on_fml @ (^[X6 : char > option_fml, X7 : char > option_game] : (X6))))))))) @ sigma) @ p))) = none_fml))),
3.15/0.77	  inference(rectify,[],[f116])).
3.15/0.77	thf(f116,axiom,(
3.15/0.77	  ~((((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (^[X22 : char > option_trm] : ((produc1615133358on_fml @ (^[X23 : char > option_trm] : ((produc1420172399on_fml @ (^[X32 : char > option_fml, X24 : char > option_game] : (X32))))))))) @ sigma) @ p)))) @ va) = bot_bot_set_variable) => ((((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ (the_fml @ (((produc1250175341on_fml @ (^[X22 : char > option_trm] : ((produc1615133358on_fml @ (^[X23 : char > option_trm] : ((produc1420172399on_fml @ (^[X32 : char > option_fml, X24 : char > option_game] : (X32))))))))) @ sigma) @ p))) = none_fml))),
3.15/0.77	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062)).
3.15/0.77	thf(f1548,plain,(
3.15/0.77	  (produc1420172399on_fml = ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ produc347802313on_fml)) @ ((bCOMB @ cCOMB) @ (bCOMB @ cCOMB)))))),
3.15/0.77	  inference(cnf_transformation,[],[f446])).
3.15/0.77	thf(f446,plain,(
3.15/0.77	  (produc1420172399on_fml = ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ produc347802313on_fml)) @ ((bCOMB @ cCOMB) @ (bCOMB @ cCOMB)))))),
3.15/0.77	  inference(fool_elimination,[],[f445])).
3.15/0.77	thf(f445,plain,(
3.15/0.77	  (produc1420172399on_fml = (^[X0 : (char > option_fml) > (char > option_game) > char > option_fml, X1 : produc799602994n_game, X2 : char] : (((produc347802313on_fml @ (^[X3 : char > option_fml, X4 : char > option_game] : ((((X0 @ X3) @ X4) @ X2)))) @ X1))))),
3.15/0.77	  inference(rectify,[],[f185])).
3.15/0.77	thf(f185,axiom,(
3.15/0.77	  (produc1420172399on_fml = (^[X3 : (char > option_fml) > (char > option_game) > char > option_fml, X5 : produc799602994n_game, X13 : char] : (((produc347802313on_fml @ (^[X72 : char > option_fml, X71 : char > option_game] : ((((X3 @ X72) @ X71) @ X13)))) @ X5))))),
3.15/0.77	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_case__prod__app)).
3.15/0.77	thf(f1301,plain,(
3.15/0.77	  (none_fml = (((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)))),
3.15/0.77	  inference(cnf_transformation,[],[f936])).
3.15/0.77	thf(f936,plain,(
3.15/0.77	  (none_fml = (((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta))) & (none_fml != (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p))),
3.15/0.77	  inference(ennf_transformation,[],[f362])).
3.15/0.77	thf(f362,plain,(
3.15/0.77	  ~((none_fml != (((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta))) | (none_fml = (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p)))),
3.15/0.77	  inference(fool_elimination,[],[f361])).
3.15/0.77	thf(f361,plain,(
3.15/0.77	  ~((none_fml != (((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta))) | ((((produc1250175341on_fml @ (^[X0 : char > option_trm] : ((produc1615133358on_fml @ (^[X1 : char > option_trm] : ((produc1420172399on_fml @ (^[X2 : char > option_fml, X3 : char > option_game] : (X2))))))))) @ sigma) @ p) = none_fml))),
3.15/0.77	  inference(rectify,[],[f79])).
3.15/0.77	thf(f79,negated_conjecture,(
3.15/0.77	  ~((none_fml != (((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta))) | ((((produc1250175341on_fml @ (^[X22 : char > option_trm] : ((produc1615133358on_fml @ (^[X23 : char > option_trm] : ((produc1420172399on_fml @ (^[X32 : char > option_fml, X24 : char > option_game] : (X32))))))))) @ sigma) @ p) = none_fml))),
3.15/0.77	  inference(negated_conjecture,[],[f78])).
3.15/0.77	thf(f78,conjecture,(
3.15/0.77	  (none_fml != (((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta))) | ((((produc1250175341on_fml @ (^[X22 : char > option_trm] : ((produc1615133358on_fml @ (^[X23 : char > option_trm] : ((produc1420172399on_fml @ (^[X32 : char > option_fml, X24 : char > option_game] : (X32))))))))) @ sigma) @ p) = none_fml)),
3.15/0.77	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
3.15/0.77	thf(f1304,plain,(
3.15/0.77	  (none_fml = (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p)) | ((((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)) = (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p)))) | (bot_bot_set_variable != ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p)))) @ va))),
3.15/0.77	  inference(cnf_transformation,[],[f938])).
3.15/0.77	thf(f938,plain,(
3.15/0.77	  (none_fml = (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p)) | (((none_fml = (((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta))) | (bot_bot_set_variable = ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p)))) @ va))) & (((((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)) = (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p)))) | (bot_bot_set_variable != ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p)))) @ va))))),
3.15/0.77	  inference(ennf_transformation,[],[f456])).
3.15/0.77	thf(f456,plain,(
3.15/0.77	  ~(((bot_bot_set_variable != ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p)))) @ va)) => (none_fml = (((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)))) & ((bot_bot_set_variable = ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p)))) @ va)) => ((((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)) = (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p)))))) => (none_fml = (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p))),
3.15/0.77	  inference(fool_elimination,[],[f455])).
3.15/0.77	thf(f455,plain,(
3.15/0.77	  ~(((((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (^[X0 : char > option_trm] : ((produc1615133358on_fml @ (^[X1 : char > option_trm] : ((produc1420172399on_fml @ (^[X2 : char > option_fml, X3 : char > option_game] : (X2))))))))) @ sigma) @ p)))) @ va) != bot_bot_set_variable) => (none_fml = (((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)))) & ((((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (^[X4 : char > option_trm] : ((produc1615133358on_fml @ (^[X5 : char > option_trm] : ((produc1420172399on_fml @ (^[X6 : char > option_fml, X7 : char > option_game] : (X6))))))))) @ sigma) @ p)))) @ va) = bot_bot_set_variable) => ((((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ (the_fml @ (((produc1250175341on_fml @ (^[X8 : char > option_trm] : ((produc1615133358on_fml @ (^[X9 : char > option_trm] : ((produc1420172399on_fml @ (^[X10 : char > option_fml, X11 : char > option_game] : (X10))))))))) @ sigma) @ p))) = (((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta))))) => ((((produc1250175341on_fml @ (^[X12 : char > option_trm] : ((produc1615133358on_fml @ (^[X13 : char > option_trm] : ((produc1420172399on_fml @ (^[X14 : char > option_fml, X15 : char > option_game] : (X14))))))))) @ sigma) @ p) = none_fml)),
3.15/0.77	  inference(rectify,[],[f246])).
3.15/0.77	thf(f246,axiom,(
3.15/0.77	  ~(((((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (^[X22 : char > option_trm] : ((produc1615133358on_fml @ (^[X23 : char > option_trm] : ((produc1420172399on_fml @ (^[X32 : char > option_fml, X24 : char > option_game] : (X32))))))))) @ sigma) @ p)))) @ va) != bot_bot_set_variable) => (none_fml = (((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)))) & ((((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (^[X22 : char > option_trm] : ((produc1615133358on_fml @ (^[X23 : char > option_trm] : ((produc1420172399on_fml @ (^[X32 : char > option_fml, X24 : char > option_game] : (X32))))))))) @ sigma) @ p)))) @ va) = bot_bot_set_variable) => ((((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ (the_fml @ (((produc1250175341on_fml @ (^[X22 : char > option_trm] : ((produc1615133358on_fml @ (^[X23 : char > option_trm] : ((produc1420172399on_fml @ (^[X32 : char > option_fml, X24 : char > option_game] : (X32))))))))) @ sigma) @ p))) = (((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta))))) => ((((produc1250175341on_fml @ (^[X22 : char > option_trm] : ((produc1615133358on_fml @ (^[X23 : char > option_trm] : ((produc1420172399on_fml @ (^[X32 : char > option_fml, X24 : char > option_game] : (X32))))))))) @ sigma) @ p) = none_fml)),
3.15/0.77	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_A_092_060Longrightarrow_062_ASPreds_A_092_060sigma_062_Ap_A_061_Aundeff_092_060close_062)).
3.15/0.77	thf(f1982,plain,(
3.15/0.77	  ((((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)) != (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (cCOMB @ ((bCOMB @ produc347802313on_fml) @ (cCOMB @ ((bCOMB @ cCOMB) @ kCOMB)))))))) @ sigma) @ p)))) @ va)) @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (cCOMB @ ((bCOMB @ produc347802313on_fml) @ (cCOMB @ ((bCOMB @ cCOMB) @ kCOMB)))))))) @ sigma) @ p))))),
3.15/0.77	  inference(combinator_demodulation,[],[f1606])).
3.15/0.77	thf(f1606,plain,(
3.15/0.77	  ((((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)) != (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ produc347802313on_fml)) @ ((bCOMB @ cCOMB) @ (bCOMB @ cCOMB)))) @ kCOMB))))) @ sigma) @ p)))) @ va)) @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ produc347802313on_fml)) @ ((bCOMB @ cCOMB) @ (bCOMB @ cCOMB)))) @ kCOMB))))) @ sigma) @ p))))),
3.15/0.77	  inference(definition_unfolding,[],[f1303,f1301,f1603,f1548])).
3.15/0.77	thf(f1303,plain,(
3.15/0.77	  (none_fml != (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ (the_fml @ (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p))))),
3.15/0.77	  inference(cnf_transformation,[],[f937])).
3.15/0.77	thf(f1983,plain,(
3.15/0.77	  ((((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)) != (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (cCOMB @ ((bCOMB @ produc347802313on_fml) @ (cCOMB @ ((bCOMB @ cCOMB) @ kCOMB)))))))) @ sigma) @ p))),
3.15/0.77	  inference(combinator_demodulation,[],[f1605])).
3.15/0.77	thf(f1605,plain,(
3.15/0.77	  ((((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)) != (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ produc347802313on_fml)) @ ((bCOMB @ cCOMB) @ (bCOMB @ cCOMB)))) @ kCOMB))))) @ sigma) @ p))),
3.15/0.77	  inference(definition_unfolding,[],[f1300,f1301,f1548])).
3.15/0.77	thf(f1300,plain,(
3.15/0.77	  (none_fml != (((produc1250175341on_fml @ (kCOMB @ (produc1615133358on_fml @ (kCOMB @ (produc1420172399on_fml @ kCOMB))))) @ sigma) @ p))),
3.15/0.77	  inference(cnf_transformation,[],[f936])).
3.15/0.77	% SZS output end Proof for theBenchmark
3.15/0.77	% (29332)------------------------------
3.15/0.77	% (29332)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
3.15/0.77	% (29332)Termination reason: Refutation
3.15/0.77	
3.15/0.77	% (29332)Memory used [KB]: 12025
3.15/0.77	% (29332)Time elapsed: 0.245 s
3.15/0.77	% (29332)------------------------------
3.15/0.77	% (29332)------------------------------
3.15/0.77	% (29308)Success in time 0.443 s
3.15/0.77	EOF