0.07/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.13/0.14	% Command    : run_vampire %s %d
0.14/0.36	% Computer   : n014.cluster.edu
0.14/0.36	% Model      : x86_64 x86_64
0.14/0.36	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.36	% Memory     : 8042.1875MB
0.14/0.36	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.36	% CPULimit   : 1200
0.14/0.36	% WCLimit    : 120
0.14/0.36	% DateTime   : Tue Jul 13 11:26:19 EDT 2021
0.14/0.36	% CPUTime    : 
0.14/0.36	This is a THF_ problem
0.14/0.37	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.14/0.37	Running in auto input_syntax mode. Trying TPTP
0.22/0.43	% (6145)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
0.22/0.43	% (6152)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
0.22/0.44	% (6168)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
0.22/0.44	% (6171)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
0.22/0.44	% (6150)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
0.22/0.44	% (6151)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
0.22/0.44	% (6153)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
0.22/0.44	% (6159)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
0.22/0.45	% (6128)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
0.22/0.45	% (6126)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
0.22/0.45	% (6163)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
0.22/0.46	% (6134)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
0.22/0.46	% (6130)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
0.22/0.46	% (6132)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
0.22/0.46	% (6167)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
0.22/0.46	% (6166)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
0.22/0.46	% (6176)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
0.22/0.46	% (6165)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
0.22/0.47	% (6156)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
0.22/0.47	% (6155)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
0.22/0.47	% (6154)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
0.22/0.47	% (6174)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
0.22/0.47	% (6170)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
0.22/0.47	% (6169)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
0.22/0.48	% (6136)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
0.22/0.48	% (6135)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
0.22/0.48	% (6164)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
0.22/0.48	% (6162)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
0.22/0.48	% (6161)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
0.22/0.48	% (6137)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
0.22/0.54	% (6150)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.22/0.55	% (6134)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.22/0.55	% (6159)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.22/0.56	% (6137)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.22/0.56	% (6154)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.22/0.56	% (6168)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.22/0.57	% (6161)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.22/0.57	% (6169)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.22/0.58	% (6136)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.22/0.58	% (6130)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.18/0.59	% (6150)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.18/0.59	% (6167)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.18/0.60	% (6159)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.18/0.60	% (6145)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.18/0.61	% (6163)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.18/0.62	% (6156)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.18/0.63	% (6166)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.89/0.72	% (6130)Refutation not found, incomplete strategy% (6130)------------------------------
1.89/0.72	% (6130)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
1.89/0.72	% (6130)Termination reason: Refutation not found, incomplete strategy
1.89/0.72	
1.89/0.72	% (6130)Memory used [KB]: 12153
1.89/0.72	% (6130)Time elapsed: 0.307 s
1.89/0.72	% (6130)------------------------------
1.89/0.72	% (6130)------------------------------
2.55/0.75	% (6151)First to succeed.
2.55/0.76	% (6132)Refutation not found, incomplete strategy% (6132)------------------------------
2.55/0.76	% (6132)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
2.55/0.76	% (6132)Termination reason: Refutation not found, incomplete strategy
2.55/0.76	
2.55/0.76	% (6132)Memory used [KB]: 13432
2.55/0.76	% (6132)Time elapsed: 0.348 s
2.55/0.76	% (6132)------------------------------
2.55/0.76	% (6132)------------------------------
2.55/0.77	% (6177)dis+1011_10_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence:thsq=on_75 on theBenchmark
2.55/0.78	% (6151)Refutation found. Thanks to Tanya!
2.55/0.78	% SZS status Theorem for theBenchmark
2.55/0.78	% SZS output start Proof for theBenchmark
2.55/0.78	thf(type_def_6, type, produc376588196ee_a_a: $tType).
2.55/0.78	thf(type_def_7, type, binary1439146945Tree_a: $tType).
2.55/0.78	thf(type_def_8, type, set_a: $tType).
2.55/0.78	thf(type_def_9, type, int: $tType).
2.55/0.78	thf(type_def_10, type, a: $tType).
2.55/0.78	thf(type_def_11, type, >: ($tType * $tType) > $tType).
2.55/0.78	thf(func_def_12, type, binary717961607le_T_a: binary1439146945Tree_a > a > binary1439146945Tree_a > binary1439146945Tree_a).
2.55/0.78	thf(func_def_13, type, binary476621312_Tip_a: binary1439146945Tree_a).
2.55/0.78	thf(func_def_14, type, binary1226383794sert_a: (a > int) > a > binary1439146945Tree_a > binary1439146945Tree_a).
2.55/0.78	thf(func_def_15, type, binary2053421120memb_a: (a > int) > a > binary1439146945Tree_a > $o).
2.55/0.78	thf(func_def_16, type, binary1804682569move_a: (a > int) > a > binary1439146945Tree_a > binary1439146945Tree_a).
2.55/0.78	thf(func_def_17, type, binary339557810e_rm_a: (a > int) > binary1439146945Tree_a > a).
2.55/0.78	thf(func_def_18, type, binary945792244etOf_a: binary1439146945Tree_a > set_a).
2.55/0.78	thf(func_def_19, type, binary1721989714Tree_a: (a > int) > binary1439146945Tree_a > $o).
2.55/0.78	thf(func_def_20, type, binary670562003pred_a: (a > int) > a > a > binary1439146945Tree_a > $o).
2.55/0.78	thf(func_def_21, type, binary1217730267_wrm_a: (a > int) > binary1439146945Tree_a > binary1439146945Tree_a).
2.55/0.78	thf(func_def_22, type, binary1774981152rmrm_a: (a > int) > binary1439146945Tree_a > produc376588196ee_a_a).
2.55/0.78	thf(func_def_23, type, bot_bot_a_o: a > $o).
2.55/0.78	thf(func_def_25, type, bot_bot_set_a: set_a).
2.55/0.78	thf(func_def_26, type, ord_less_a_o: (a > $o) > (a > $o) > $o).
2.55/0.78	thf(func_def_27, type, ord_less_int: int > int > $o).
2.55/0.78	thf(func_def_28, type, ord_less_set_a: set_a > set_a > $o).
2.55/0.78	thf(func_def_29, type, ord_less_eq_a_o: (a > $o) > (a > $o) > $o).
2.55/0.78	thf(func_def_30, type, ord_less_eq_o: $o > $o > $o).
2.55/0.78	thf(func_def_31, type, ord_less_eq_int: int > int > $o).
2.55/0.78	thf(func_def_32, type, ord_less_eq_set_a: set_a > set_a > $o).
2.55/0.78	thf(func_def_33, type, ordering_top_a_o: ((a > $o) > (a > $o) > $o) > ((a > $o) > (a > $o) > $o) > (a > $o) > $o).
2.55/0.78	thf(func_def_34, type, ordering_top_set_a: (set_a > set_a > $o) > (set_a > set_a > $o) > set_a > $o).
2.55/0.78	thf(func_def_35, type, produc374321428ee_a_a: binary1439146945Tree_a > a > produc376588196ee_a_a).
2.55/0.78	thf(func_def_36, type, produc1275654896Tree_a: (binary1439146945Tree_a > a > binary1439146945Tree_a) > produc376588196ee_a_a > binary1439146945Tree_a).
2.55/0.78	thf(func_def_37, type, collect_a: (a > $o) > set_a).
2.55/0.78	thf(func_def_38, type, member_a: a > set_a > $o).
2.55/0.78	thf(func_def_39, type, h: a > int).
2.55/0.78	thf(func_def_40, type, t1: binary1439146945Tree_a).
2.55/0.78	thf(func_def_41, type, t2: binary1439146945Tree_a).
2.55/0.78	thf(func_def_42, type, x: a).
2.55/0.78	thf(func_def_46, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
2.55/0.78	thf(func_def_47, type, vAND: $o > $o > $o).
2.55/0.78	thf(func_def_48, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
2.55/0.78	thf(func_def_49, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
2.55/0.78	thf(func_def_50, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
2.55/0.78	thf(func_def_51, type, vIMP: $o > $o > $o).
2.55/0.78	thf(func_def_52, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
2.55/0.78	thf(func_def_53, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
2.55/0.78	thf(func_def_54, type, vOR: $o > $o > $o).
2.55/0.78	thf(func_def_55, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)).
2.55/0.78	thf(func_def_56, type, vNOT: $o > $o).
2.55/0.78	thf(func_def_57, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
2.55/0.78	thf(func_def_58, type, sK0: binary1439146945Tree_a > binary1439146945Tree_a).
2.55/0.78	thf(func_def_59, type, sK1: binary1439146945Tree_a > a).
2.55/0.78	thf(func_def_60, type, sK2: binary1439146945Tree_a > binary1439146945Tree_a).
2.55/0.78	thf(func_def_61, type, sK3: set_a > a).
2.55/0.78	thf(func_def_62, type, sK4: set_a > a).
2.55/0.78	thf(func_def_63, type, sK5: int > int).
2.55/0.78	thf(func_def_64, type, sK6: int > int).
2.55/0.78	thf(func_def_65, type, sK7: int > int).
2.55/0.78	thf(func_def_66, type, sK8: int > int).
2.55/0.78	thf(func_def_67, type, sK9: int > int).
2.55/0.78	thf(func_def_68, type, sK10: int > int).
2.55/0.78	thf(func_def_69, type, sK11: (a > $o) > (a > $o) > a).
2.55/0.78	thf(func_def_70, type, sK12: (a > $o) > (a > $o) > a).
2.55/0.78	thf(func_def_71, type, sK13: set_a > set_a > a).
2.55/0.78	thf(func_def_72, type, sK14: (a > $o) > (a > $o) > a).
2.55/0.78	thf(func_def_73, type, sK15: (binary1439146945Tree_a > $o) > binary1439146945Tree_a).
2.55/0.78	thf(func_def_74, type, sK16: (binary1439146945Tree_a > $o) > a).
2.55/0.78	thf(func_def_75, type, sK17: (binary1439146945Tree_a > $o) > binary1439146945Tree_a).
2.55/0.78	thf(func_def_76, type, sK18: (int > int > $o) > int).
2.55/0.78	thf(func_def_77, type, sK19: (int > int > $o) > int).
2.55/0.78	thf(func_def_78, type, sK20: (int > int > $o) > int).
2.55/0.78	thf(func_def_79, type, sK21: (int > int > $o) > int).
2.55/0.78	thf(func_def_80, type, sK22: (int > int > $o) > int).
2.55/0.78	thf(func_def_81, type, sK23: (int > $o) > int > int > int).
2.55/0.78	thf(func_def_82, type, sK24: int > (int > $o) > int > int).
2.55/0.78	thf(func_def_83, type, sK25: (int > int) > int).
2.55/0.78	thf(func_def_84, type, sK26: (int > int) > int).
2.55/0.78	thf(func_def_85, type, sK27: (int > set_a) > int).
2.55/0.78	thf(func_def_86, type, sK28: (int > set_a) > int).
2.55/0.78	thf(func_def_87, type, sK29: (set_a > int) > set_a).
2.55/0.78	thf(func_def_88, type, sK30: (set_a > int) > set_a).
2.55/0.78	thf(func_def_89, type, sK31: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_90, type, sK32: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_91, type, sK33: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_92, type, sK34: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_93, type, sK35: (int > a > $o) > int).
2.55/0.78	thf(func_def_94, type, sK36: (int > a > $o) > int).
2.55/0.78	thf(func_def_95, type, sK37: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_96, type, sK38: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_97, type, sK39: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_98, type, sK40: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_99, type, sK41: ((a > $o) > int) > a > $o).
2.55/0.78	thf(func_def_100, type, sK42: ((a > $o) > int) > a > $o).
2.55/0.78	thf(func_def_101, type, sK43: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_102, type, sK44: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_103, type, sK45: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_104, type, sK46: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_105, type, sK47: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_106, type, sK48: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_107, type, sK49: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_108, type, sK50: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_109, type, sK51: (int > int) > int).
2.55/0.78	thf(func_def_110, type, sK52: (int > int) > int).
2.55/0.78	thf(func_def_111, type, sK53: (int > set_a) > int).
2.55/0.78	thf(func_def_112, type, sK54: (int > set_a) > int).
2.55/0.78	thf(func_def_113, type, sK55: (int > a > $o) > int).
2.55/0.78	thf(func_def_114, type, sK56: (int > a > $o) > int).
2.55/0.78	thf(func_def_115, type, sK57: (int > int) > int).
2.55/0.78	thf(func_def_116, type, sK58: (int > int) > int).
2.55/0.78	thf(func_def_117, type, sK59: (int > int) > int).
2.55/0.78	thf(func_def_118, type, sK60: (int > int) > int).
2.55/0.78	thf(func_def_119, type, sK61: (int > set_a) > int).
2.55/0.78	thf(func_def_120, type, sK62: (int > set_a) > int).
2.55/0.78	thf(func_def_121, type, sK63: (int > set_a) > int).
2.55/0.78	thf(func_def_122, type, sK64: (int > set_a) > int).
2.55/0.78	thf(func_def_123, type, sK65: (int > a > $o) > int).
2.55/0.78	thf(func_def_124, type, sK66: (int > a > $o) > int).
2.55/0.78	thf(func_def_125, type, sK67: (int > a > $o) > int).
2.55/0.78	thf(func_def_126, type, sK68: (int > a > $o) > int).
2.55/0.78	thf(func_def_127, type, sK69: (set_a > int) > set_a).
2.55/0.78	thf(func_def_128, type, sK70: (set_a > int) > set_a).
2.55/0.78	thf(func_def_129, type, sK71: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_130, type, sK72: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_131, type, sK73: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_132, type, sK74: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_133, type, sK75: (set_a > int) > set_a).
2.55/0.78	thf(func_def_134, type, sK76: (set_a > int) > set_a).
2.55/0.78	thf(func_def_135, type, sK77: (set_a > int) > set_a).
2.55/0.78	thf(func_def_136, type, sK78: (set_a > int) > set_a).
2.55/0.78	thf(func_def_137, type, sK79: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_138, type, sK80: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_139, type, sK81: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_140, type, sK82: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_141, type, sK83: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_142, type, sK84: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_143, type, sK85: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_144, type, sK86: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_145, type, sK87: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_146, type, sK88: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_147, type, sK89: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_148, type, sK90: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_149, type, sK91: (a > $o) > (a > $o) > set_a > a).
2.55/0.78	thf(func_def_150, type, sK92: (set_a > int) > set_a).
2.55/0.78	thf(func_def_151, type, sK93: (set_a > int) > set_a).
2.55/0.78	thf(func_def_152, type, sK94: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_153, type, sK95: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_154, type, sK96: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_155, type, sK97: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_156, type, sK98: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_157, type, sK99: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_158, type, sK100: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_159, type, sK101: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_160, type, sK102: (int > int) > int).
2.55/0.78	thf(func_def_161, type, sK103: (int > int) > int).
2.55/0.78	thf(func_def_162, type, sK104: (set_a > int) > set_a).
2.55/0.78	thf(func_def_163, type, sK105: (set_a > int) > set_a).
2.55/0.78	thf(func_def_164, type, sK106: (int > int) > int).
2.55/0.78	thf(func_def_165, type, sK107: (int > int) > int).
2.55/0.78	thf(func_def_166, type, sK108: (set_a > int) > set_a).
2.55/0.78	thf(func_def_167, type, sK109: (set_a > int) > set_a).
2.55/0.78	thf(func_def_168, type, sK110: (set_a > int) > set_a).
2.55/0.78	thf(func_def_169, type, sK111: (set_a > int) > set_a).
2.55/0.78	thf(func_def_170, type, sK112: (int > set_a) > int).
2.55/0.78	thf(func_def_171, type, sK113: (int > set_a) > int).
2.55/0.78	thf(func_def_172, type, sK114: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_173, type, sK115: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_174, type, sK116: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_175, type, sK117: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_176, type, sK118: (int > set_a) > int).
2.55/0.78	thf(func_def_177, type, sK119: (int > set_a) > int).
2.55/0.78	thf(func_def_178, type, sK120: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_179, type, sK121: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_180, type, sK122: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_181, type, sK123: (set_a > set_a) > set_a).
2.55/0.78	thf(func_def_182, type, sK124: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_183, type, sK125: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_184, type, sK126: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_185, type, sK127: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_186, type, sK128: ((a > $o) > int) > a > $o).
2.55/0.78	thf(func_def_187, type, sK129: ((a > $o) > int) > a > $o).
2.55/0.78	thf(func_def_188, type, sK130: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_189, type, sK131: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_190, type, sK132: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_191, type, sK133: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_192, type, sK134: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_193, type, sK135: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_194, type, sK136: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_195, type, sK137: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_196, type, sK138: ((a > $o) > int) > a > $o).
2.55/0.78	thf(func_def_197, type, sK139: ((a > $o) > int) > a > $o).
2.55/0.78	thf(func_def_198, type, sK140: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_199, type, sK141: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_200, type, sK142: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_201, type, sK143: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_202, type, sK144: ((a > $o) > int) > a > $o).
2.55/0.78	thf(func_def_203, type, sK145: ((a > $o) > int) > a > $o).
2.55/0.78	thf(func_def_204, type, sK146: ((a > $o) > int) > a > $o).
2.55/0.78	thf(func_def_205, type, sK147: ((a > $o) > int) > a > $o).
2.55/0.78	thf(func_def_206, type, sK148: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_207, type, sK149: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_208, type, sK150: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_209, type, sK151: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_210, type, sK152: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_211, type, sK153: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_212, type, sK154: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_213, type, sK155: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_214, type, sK156: ((a > $o) > int) > a > $o).
2.55/0.78	thf(func_def_215, type, sK157: ((a > $o) > int) > a > $o).
2.55/0.78	thf(func_def_216, type, sK158: ((a > $o) > int) > a > $o).
2.55/0.78	thf(func_def_217, type, sK159: ((a > $o) > int) > a > $o).
2.55/0.78	thf(func_def_218, type, sK160: ((a > $o) > int) > a > $o).
2.55/0.78	thf(func_def_219, type, sK161: ((a > $o) > int) > a > $o).
2.55/0.78	thf(func_def_220, type, sK162: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_221, type, sK163: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_222, type, sK164: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_223, type, sK165: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_224, type, sK166: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_225, type, sK167: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_226, type, sK168: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_227, type, sK169: ((a > $o) > set_a) > a > $o).
2.55/0.78	thf(func_def_228, type, sK170: (int > a > $o) > int).
2.55/0.78	thf(func_def_229, type, sK171: (int > a > $o) > int).
2.55/0.78	thf(func_def_230, type, sK172: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_231, type, sK173: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_232, type, sK174: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_233, type, sK175: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_234, type, sK176: (int > a > $o) > int).
2.55/0.78	thf(func_def_235, type, sK177: (int > a > $o) > int).
2.55/0.78	thf(func_def_236, type, sK178: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_237, type, sK179: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_238, type, sK180: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_239, type, sK181: (set_a > a > $o) > set_a).
2.55/0.78	thf(func_def_240, type, sK182: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_241, type, sK183: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_242, type, sK184: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_243, type, sK185: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_244, type, sK186: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_245, type, sK187: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_246, type, sK188: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(func_def_247, type, sK189: ((a > $o) > a > $o) > a > $o).
2.55/0.78	thf(f2335,plain,(
2.55/0.78	  $false),
2.55/0.78	  inference(avatar_sat_refutation,[],[f2272,f2279,f2329])).
2.55/0.78	thf(f2329,plain,(
2.55/0.78	  ~spl190_2),
2.55/0.78	  inference(avatar_contradiction_clause,[],[f2328])).
2.55/0.78	thf(f2328,plain,(
2.55/0.78	  $false | ~spl190_2),
2.55/0.78	  inference(trivial_inequality_removal,[],[f2310])).
2.55/0.78	thf(f2310,plain,(
2.55/0.78	  ($true = $false) | ~spl190_2),
2.55/0.78	  inference(backward_demodulation,[],[f2174,f2293])).
2.55/0.78	thf(f2293,plain,(
2.55/0.78	  ( ! [X0 : a,X1 : binary1439146945Tree_a] : (($false = ((binary1721989714Tree_a @ h) @ (((binary717961607le_T_a @ t1) @ X0) @ X1)))) ) | ~spl190_2),
2.55/0.78	  inference(boolean_simplification,[],[f2283])).
2.55/0.78	thf(f2283,plain,(
2.55/0.78	  ( ! [X0 : a,X1 : binary1439146945Tree_a] : ((((binary1721989714Tree_a @ h) @ (((binary717961607le_T_a @ t1) @ X0) @ X1)) = ((vAND @ ((vAND @ ((vAND @ (vPI(a) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ member_a) @ (binary945792244etOf_a @ t1)))) @ ((cCOMB @ ((bCOMB @ ord_less_int) @ h)) @ (h @ X0))))) @ (vPI(a) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ member_a) @ (binary945792244etOf_a @ X1)))) @ ((bCOMB @ (ord_less_int @ (h @ X0))) @ h))))) @ ((binary1721989714Tree_a @ h) @ X1))) @ $false))) ) | ~spl190_2),
2.55/0.78	  inference(superposition,[],[f1990,f2278])).
2.55/0.78	thf(f2278,plain,(
2.55/0.78	  (((binary1721989714Tree_a @ h) @ t1) = $false) | ~spl190_2),
2.55/0.78	  inference(avatar_component_clause,[],[f2276])).
2.55/0.78	thf(f2276,plain,(
2.55/0.78	  spl190_2 <=> (((binary1721989714Tree_a @ h) @ t1) = $false)),
2.55/0.78	  introduced(avatar_definition,[new_symbols(naming,[spl190_2])])).
2.55/0.78	thf(f1990,plain,(
2.55/0.78	  ( ! [X2 : a,X0 : a > int,X3 : binary1439146945Tree_a,X1 : binary1439146945Tree_a] : ((((binary1721989714Tree_a @ X0) @ (((binary717961607le_T_a @ X1) @ X2) @ X3)) = ((vAND @ ((vAND @ ((vAND @ (vPI(a) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ member_a) @ (binary945792244etOf_a @ X1)))) @ ((cCOMB @ ((bCOMB @ ord_less_int) @ X0)) @ (X0 @ X2))))) @ (vPI(a) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ member_a) @ (binary945792244etOf_a @ X3)))) @ ((bCOMB @ (ord_less_int @ (X0 @ X2))) @ X0))))) @ ((binary1721989714Tree_a @ X0) @ X3))) @ ((binary1721989714Tree_a @ X0) @ X1)))) )),
2.55/0.78	  inference(cnf_transformation,[],[f853])).
2.55/0.78	thf(f853,plain,(
2.55/0.78	  ! [X0 : a > int,X1 : binary1439146945Tree_a,X2 : a,X3 : binary1439146945Tree_a] : (((binary1721989714Tree_a @ X0) @ (((binary717961607le_T_a @ X1) @ X2) @ X3)) = ((vAND @ ((vAND @ ((vAND @ (vPI(a) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ member_a) @ (binary945792244etOf_a @ X1)))) @ ((cCOMB @ ((bCOMB @ ord_less_int) @ X0)) @ (X0 @ X2))))) @ (vPI(a) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ member_a) @ (binary945792244etOf_a @ X3)))) @ ((bCOMB @ (ord_less_int @ (X0 @ X2))) @ X0))))) @ ((binary1721989714Tree_a @ X0) @ X3))) @ ((binary1721989714Tree_a @ X0) @ X1)))),
2.55/0.78	  inference(fool_elimination,[],[f852])).
2.55/0.78	thf(f852,plain,(
2.55/0.78	  ! [X0 : a > int,X1 : binary1439146945Tree_a,X2 : a,X3 : binary1439146945Tree_a] : (((binary1721989714Tree_a @ X0) @ (((binary717961607le_T_a @ X1) @ X2) @ X3)) = ((binary1721989714Tree_a @ X0) @ X1) & ((binary1721989714Tree_a @ X0) @ X3) & ! [X4 : a] : (((member_a @ X4) @ (binary945792244etOf_a @ X3)) => ((ord_less_int @ (X0 @ X2)) @ (X0 @ X4))) & ! [X5 : a] : (((member_a @ X5) @ (binary945792244etOf_a @ X1)) => ((ord_less_int @ (X0 @ X5)) @ (X0 @ X2))))),
2.55/0.78	  inference(rectify,[],[f292])).
2.55/0.78	thf(f292,axiom,(
2.55/0.78	  ! [X12 : a > int,X19 : binary1439146945Tree_a,X7 : a,X20 : binary1439146945Tree_a] : (((binary1721989714Tree_a @ X12) @ (((binary717961607le_T_a @ X19) @ X7) @ X20)) = ((binary1721989714Tree_a @ X12) @ X19) & ((binary1721989714Tree_a @ X12) @ X20) & ! [X5 : a] : (((member_a @ X5) @ (binary945792244etOf_a @ X20)) => ((ord_less_int @ (X12 @ X7)) @ (X12 @ X5))) & ! [X5 : a] : (((member_a @ X5) @ (binary945792244etOf_a @ X19)) => ((ord_less_int @ (X12 @ X5)) @ (X12 @ X7))))),
2.55/0.78	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_sortedTree_Osimps_I2_J)).
2.55/0.78	thf(f2174,plain,(
2.55/0.78	  (((binary1721989714Tree_a @ h) @ (((binary717961607le_T_a @ t1) @ x) @ t2)) = $true)),
2.55/0.78	  inference(cnf_transformation,[],[f1035])).
2.55/0.78	thf(f1035,plain,(
2.55/0.78	  (((binary1721989714Tree_a @ h) @ (((binary717961607le_T_a @ t1) @ x) @ t2)) = $true)),
2.55/0.78	  inference(fool_elimination,[],[f1034])).
2.55/0.78	thf(f1034,plain,(
2.55/0.78	  ((binary1721989714Tree_a @ h) @ (((binary717961607le_T_a @ t1) @ x) @ t2))),
2.55/0.78	  inference(rectify,[],[f207])).
2.55/0.78	thf(f207,axiom,(
2.55/0.78	  ((binary1721989714Tree_a @ h) @ (((binary717961607le_T_a @ t1) @ x) @ t2))),
2.55/0.78	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_s)).
2.55/0.78	thf(f2279,plain,(
2.55/0.78	  spl190_2 | spl190_1),
2.55/0.78	  inference(avatar_split_clause,[],[f2274,f2269,f2276])).
2.55/0.78	thf(f2269,plain,(
2.55/0.78	  spl190_1 <=> (((binary1721989714Tree_a @ h) @ t1) = $true)),
2.55/0.78	  introduced(avatar_definition,[new_symbols(naming,[spl190_1])])).
2.55/0.78	thf(f2274,plain,(
2.55/0.78	  (((binary1721989714Tree_a @ h) @ t1) = $false) | spl190_1),
2.55/0.78	  inference(trivial_inequality_removal,[],[f2273])).
2.55/0.78	thf(f2273,plain,(
2.55/0.78	  ($true != $true) | (((binary1721989714Tree_a @ h) @ t1) = $false) | spl190_1),
2.55/0.78	  inference(superposition,[],[f2271,f357])).
2.55/0.78	thf(f357,plain,(
2.55/0.78	  ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
2.55/0.78	  introduced(fool_axiom,[])).
2.55/0.78	thf(f2271,plain,(
2.55/0.78	  (((binary1721989714Tree_a @ h) @ t1) != $true) | spl190_1),
2.55/0.78	  inference(avatar_component_clause,[],[f2269])).
2.55/0.78	thf(f2272,plain,(
2.55/0.78	  ~spl190_1),
2.55/0.78	  inference(avatar_split_clause,[],[f1718,f2269])).
2.55/0.78	thf(f1718,plain,(
2.55/0.78	  (((binary1721989714Tree_a @ h) @ t1) != $true)),
2.55/0.78	  inference(cnf_transformation,[],[f1040])).
2.55/0.78	thf(f1040,plain,(
2.55/0.78	  (((binary1721989714Tree_a @ h) @ t1) != $true)),
2.55/0.78	  inference(flattening,[],[f359])).
2.55/0.78	thf(f359,plain,(
2.55/0.78	  ~(((binary1721989714Tree_a @ h) @ t1) = $true)),
2.55/0.78	  inference(fool_elimination,[],[f358])).
2.55/0.78	thf(f358,plain,(
2.55/0.78	  ~((binary1721989714Tree_a @ h) @ t1)),
2.55/0.78	  inference(rectify,[],[f202])).
2.55/0.78	thf(f202,negated_conjecture,(
2.55/0.78	  ~((binary1721989714Tree_a @ h) @ t1)),
2.55/0.78	  inference(negated_conjecture,[],[f201])).
2.55/0.78	thf(f201,conjecture,(
2.55/0.78	  ((binary1721989714Tree_a @ h) @ t1)),
2.55/0.78	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
2.55/0.78	% SZS output end Proof for theBenchmark
2.55/0.78	% (6151)------------------------------
2.55/0.78	% (6151)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
2.55/0.78	% (6151)Termination reason: Refutation
2.55/0.78	
2.55/0.78	% (6151)Memory used [KB]: 14072
2.55/0.78	% (6151)Time elapsed: 0.344 s
2.55/0.78	% (6151)------------------------------
2.55/0.78	% (6151)------------------------------
2.55/0.78	% (6124)Success in time 0.4 s
2.55/0.78	EOF
