0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command    : run_vampire %s %d
0.13/0.34	% Computer   : n015.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 1200
0.13/0.34	% WCLimit    : 120
0.13/0.34	% DateTime   : Tue Jul 13 11:59:49 EDT 2021
0.13/0.35	% CPUTime    : 
0.13/0.35	This is a THF_ problem
0.13/0.35	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.13/0.35	Running in auto input_syntax mode. Trying TPTP
0.20/0.43	% (18743)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
0.20/0.44	% (18738)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
0.20/0.44	% (18739)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
0.20/0.44	% (18740)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
0.20/0.44	% (18753)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
0.20/0.45	% (18741)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
0.20/0.46	% (18736)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
0.20/0.46	% (18737)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
0.20/0.47	% (18758)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
0.20/0.47	% (18760)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
0.20/0.47	% (18750)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
0.20/0.47	% (18762)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
0.20/0.48	% (18759)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
0.20/0.48	% (18761)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
0.20/0.48	% (18763)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
0.20/0.48	% (18764)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
0.20/0.48	% (18765)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
0.20/0.48	% (18742)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
0.20/0.48	% (18754)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
0.20/0.48	% (18751)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
0.20/0.48	% (18752)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
0.20/0.48	% (18756)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
0.20/0.48	% (18755)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
0.20/0.48	% (18757)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
0.20/0.49	% (18745)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
0.20/0.49	% (18744)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
0.20/0.49	% (18747)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
0.20/0.49	% (18748)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
0.20/0.49	% (18749)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
0.20/0.49	% (18746)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
0.20/0.52	% (18753)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.52	% (18743)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.59	% (18742)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.59	% (18761)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.61	% (18740)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.40/0.61	% (18752)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.40/0.62	% (18749)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.40/0.62	% (18745)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.40/0.63	% (18738)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.40/0.65	% (18759)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
2.02/0.66	% (18760)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
2.02/0.66	% (18758)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
2.02/0.67	% (18744)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
2.02/0.68	% (18745)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
2.02/0.69	% (18752)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
2.02/0.69	% (18755)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
2.02/0.70	% (18751)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
4.36/0.96	% (18750)Time limit reached!
4.36/0.96	% (18750)------------------------------
4.36/0.96	% (18750)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
4.36/0.96	% (18750)Termination reason: Time limit
4.36/0.96	
4.36/0.96	% (18750)Memory used [KB]: 10490
4.36/0.96	% (18750)Time elapsed: 0.523 s
4.36/0.96	% (18750)------------------------------
4.36/0.96	% (18750)------------------------------
4.36/0.98	% (18760)First to succeed.
4.36/1.01	% (18760)Refutation found. Thanks to Tanya!
4.36/1.01	% SZS status Theorem for theBenchmark
4.36/1.01	% SZS output start Proof for theBenchmark
4.36/1.01	thf(type_def_6, type, carrie1954260683t_unit: $tType).
4.36/1.01	thf(type_def_7, type, carrie1948989069_d_a_e: $tType).
4.36/1.01	thf(type_def_8, type, carrie1105631105xt_a_b: $tType).
4.36/1.01	thf(type_def_9, type, set_a_a_c_d_c_d: $tType).
4.36/1.01	thf(type_def_10, type, set_c_d_c_d_c_d: $tType).
4.36/1.01	thf(type_def_11, type, set_a_a_a_a_a_d: $tType).
4.36/1.01	thf(type_def_12, type, set_a_a_a_a_a: $tType).
4.36/1.01	thf(type_def_13, type, set_a_c_d_c_d: $tType).
4.36/1.01	thf(type_def_14, type, set_c_d_a_a_a: $tType).
4.36/1.01	thf(type_def_15, type, set_c_d_c_d_a: $tType).
4.36/1.01	thf(type_def_16, type, set_c_d_a_a_a2: $tType).
4.36/1.01	thf(type_def_17, type, set_a_a_a_c_d: $tType).
4.36/1.01	thf(type_def_18, type, set_a_a_a_a_a2: $tType).
4.36/1.01	thf(type_def_19, type, set_a_a_c_d_d: $tType).
4.36/1.01	thf(type_def_20, type, set_a_a_c_d_a: $tType).
4.36/1.01	thf(type_def_21, type, set_a_a_a_a_d: $tType).
4.36/1.01	thf(type_def_22, type, set_a_a_a_a_a3: $tType).
4.36/1.01	thf(type_def_23, type, set_c_d_c_d_d: $tType).
4.36/1.01	thf(type_def_24, type, set_c_d_c_d_a2: $tType).
4.36/1.01	thf(type_def_25, type, set_a_a_c_d: $tType).
4.36/1.01	thf(type_def_26, type, set_a_a_a_a: $tType).
4.36/1.01	thf(type_def_27, type, set_a_c_d_a: $tType).
4.36/1.01	thf(type_def_28, type, set_a_a_a_a2: $tType).
4.36/1.01	thf(type_def_29, type, set_c_d_c_d: $tType).
4.36/1.01	thf(type_def_30, type, set_c_d_a_a: $tType).
4.36/1.01	thf(type_def_31, type, set_a_a_c_d2: $tType).
4.36/1.01	thf(type_def_32, type, set_a_a_a_a3: $tType).
4.36/1.01	thf(type_def_33, type, set_a_a_a_d: $tType).
4.36/1.01	thf(type_def_34, type, set_a_a_a_a4: $tType).
4.36/1.01	thf(type_def_35, type, set_d_c_d: $tType).
4.36/1.01	thf(type_def_36, type, set_c_c_d: $tType).
4.36/1.01	thf(type_def_37, type, set_a_c_d: $tType).
4.36/1.01	thf(type_def_38, type, set_a_a_a: $tType).
4.36/1.01	thf(type_def_39, type, set_c_d_d: $tType).
4.36/1.01	thf(type_def_40, type, set_c_d_a: $tType).
4.36/1.01	thf(type_def_41, type, set_a_a_d: $tType).
4.36/1.01	thf(type_def_42, type, set_a_a_a2: $tType).
4.36/1.01	thf(type_def_43, type, set_d_d: $tType).
4.36/1.01	thf(type_def_44, type, set_d_c: $tType).
4.36/1.01	thf(type_def_45, type, set_d_a: $tType).
4.36/1.01	thf(type_def_46, type, set_c_d: $tType).
4.36/1.01	thf(type_def_47, type, set_c_c: $tType).
4.36/1.01	thf(type_def_48, type, set_c_a: $tType).
4.36/1.01	thf(type_def_49, type, set_a_d: $tType).
4.36/1.01	thf(type_def_50, type, set_a_c: $tType).
4.36/1.01	thf(type_def_51, type, set_a_a: $tType).
4.36/1.01	thf(type_def_52, type, set_nat: $tType).
4.36/1.01	thf(type_def_53, type, set_d: $tType).
4.36/1.01	thf(type_def_54, type, set_c: $tType).
4.36/1.01	thf(type_def_55, type, set_a: $tType).
4.36/1.01	thf(type_def_56, type, nat: $tType).
4.36/1.01	thf(type_def_57, type, d: $tType).
4.36/1.01	thf(type_def_58, type, c: $tType).
4.36/1.01	thf(type_def_59, type, a: $tType).
4.36/1.01	thf(type_def_60, type, >: ($tType * $tType) > $tType).
4.36/1.01	thf(func_def_61, type, carrie20288686t_unit: carrie1954260683t_unit > set_c_d).
4.36/1.01	thf(func_def_62, type, carrie867757212xt_a_b: carrie1105631105xt_a_b > set_a).
4.36/1.01	thf(func_def_63, type, carrie11369756_d_a_e: carrie1948989069_d_a_e > set_d).
4.36/1.01	thf(func_def_64, type, j_rad_a_b: carrie1105631105xt_a_b > set_a).
4.36/1.01	thf(func_def_65, type, ring_a_b: carrie1105631105xt_a_b > $o).
4.36/1.01	thf(func_def_66, type, tp_a_b: carrie1105631105xt_a_b > a > a > a).
4.36/1.01	thf(func_def_67, type, un_a_b: carrie1105631105xt_a_b > a).
4.36/1.01	thf(func_def_68, type, sr_a_b: carrie1105631105xt_a_b > set_a > carrie1105631105xt_a_b).
4.36/1.01	thf(func_def_69, type, subring_a_b_b: carrie1105631105xt_a_b > carrie1105631105xt_a_b > $o).
4.36/1.01	thf(func_def_70, type, unit_a_b: carrie1105631105xt_a_b > a > $o).
4.36/1.01	thf(func_def_71, type, aGroup2131905830t_unit: carrie1954260683t_unit > $o).
4.36/1.01	thf(func_def_72, type, aGroup2097840802xt_a_b: carrie1105631105xt_a_b > $o).
4.36/1.01	thf(func_def_73, type, aGroup1940521469_d_a_e: carrie1948989069_d_a_e > $o).
4.36/1.01	thf(func_def_74, type, mop_a_Ring_ext_a_b: carrie1105631105xt_a_b > a > a).
4.36/1.01	thf(func_def_75, type, pop_c_449750139t_unit: carrie1954260683t_unit > (c > d) > (c > d) > c > d).
4.36/1.01	thf(func_def_76, type, pop_a_Ring_ext_a_b: carrie1105631105xt_a_b > a > a > a).
4.36/1.01	thf(func_def_77, type, pop_d_261713874_d_a_e: carrie1948989069_d_a_e > d > d > d).
4.36/1.01	thf(func_def_78, type, aset_s1743553894xt_a_b: carrie1105631105xt_a_b > set_a > set_a > set_a).
4.36/1.01	thf(func_def_79, type, carr_d267359390xt_a_b: set_a > (a > carrie1105631105xt_a_b) > set_a_a).
4.36/1.01	thf(func_def_80, type, carr_d56066307_d_a_e: set_c > (c > carrie1948989069_d_a_e) > set_c_d).
4.36/1.01	thf(func_def_81, type, carr_p1617094073xt_a_b: set_c_d_c_d > (((c > d) > c > d) > carrie1105631105xt_a_b) > set_c_d_c_d_a2).
4.36/1.01	thf(func_def_82, type, carr_p428609062_d_a_e: set_c_d_c_d > (((c > d) > c > d) > carrie1948989069_d_a_e) > set_c_d_c_d_d).
4.36/1.01	thf(func_def_83, type, carr_p1980447933_d_a_e: set_a_a_a_a_a > ((a > a > a > a > a) > carrie1948989069_d_a_e) > set_a_a_a_a_a_d).
4.36/1.01	thf(func_def_84, type, carr_p1850824937xt_a_b: set_a_a_a_a > ((a > a > a > a) > carrie1105631105xt_a_b) > set_a_a_a_a_a3).
4.36/1.01	thf(func_def_85, type, carr_p305487606_d_a_e: set_a_a_a_a > ((a > a > a > a) > carrie1948989069_d_a_e) > set_a_a_a_a_d).
4.36/1.01	thf(func_def_86, type, carr_p109409832xt_a_b: set_a_a_c_d > ((a > a > c > d) > carrie1105631105xt_a_b) > set_a_a_c_d_a).
4.36/1.01	thf(func_def_87, type, carr_p577380087_d_a_e: set_a_a_c_d > ((a > a > c > d) > carrie1948989069_d_a_e) > set_a_a_c_d_d).
4.36/1.01	thf(func_def_88, type, carr_p1481099064xt_a_b: set_a_a_a > ((a > a > a) > carrie1105631105xt_a_b) > set_a_a_a_a4).
4.36/1.01	thf(func_def_89, type, carr_p1364179431_d_a_e: set_a_a_a > ((a > a > a) > carrie1948989069_d_a_e) > set_a_a_a_d).
4.36/1.01	thf(func_def_90, type, carr_p740328767xt_a_b: set_a_a > ((a > a) > carrie1105631105xt_a_b) > set_a_a_a2).
4.36/1.01	thf(func_def_91, type, carr_p1646427936_d_a_e: set_a_a > ((a > a) > carrie1948989069_d_a_e) > set_a_a_d).
4.36/1.01	thf(func_def_92, type, carr_p996491646xt_a_b: set_c_d > ((c > d) > carrie1105631105xt_a_b) > set_c_d_a).
4.36/1.01	thf(func_def_93, type, carr_p124510241_d_a_e: set_c_d > ((c > d) > carrie1948989069_d_a_e) > set_c_d_d).
4.36/1.01	thf(func_def_94, type, carr_p923087418t_unit: set_a > (a > carrie1954260683t_unit) > set_a_c_d).
4.36/1.01	thf(func_def_95, type, carr_p290614414xt_a_b: set_a > (a > carrie1105631105xt_a_b) > set_a_a).
4.36/1.01	thf(func_def_96, type, carr_p1084104977_d_a_e: set_a > (a > carrie1948989069_d_a_e) > set_a_d).
4.36/1.01	thf(func_def_97, type, carr_p1080792380t_unit: set_c > (c > carrie1954260683t_unit) > set_c_c_d).
4.36/1.01	thf(func_def_98, type, carr_p295160588xt_a_b: set_c > (c > carrie1105631105xt_a_b) > set_c_a).
4.36/1.01	thf(func_def_99, type, carr_p1636662547_d_a_e: set_c > (c > carrie1948989069_d_a_e) > set_c_d).
4.36/1.01	thf(func_def_100, type, carr_p1159644861t_unit: set_d > (d > carrie1954260683t_unit) > set_d_c_d).
4.36/1.01	thf(func_def_101, type, carr_p297433675xt_a_b: set_d > (d > carrie1105631105xt_a_b) > set_d_a).
4.36/1.01	thf(func_def_102, type, carr_p1912941332_d_a_e: set_d > (d > carrie1948989069_d_a_e) > set_d_d).
4.36/1.01	thf(func_def_103, type, local_ring_a_b: carrie1105631105xt_a_b > $o).
4.36/1.01	thf(func_def_104, type, maximal_ideal_a_b: carrie1105631105xt_a_b > set_a > $o).
4.36/1.01	thf(func_def_105, type, mul_closed_set_a_b: carrie1105631105xt_a_b > set_a > $o).
4.36/1.01	thf(func_def_106, type, nscal_a_b: carrie1105631105xt_a_b > a > nat > a).
4.36/1.01	thf(func_def_107, type, primary_ideal_a_b: carrie1105631105xt_a_b > set_a > $o).
4.36/1.01	thf(func_def_108, type, prod_m2022989242xt_a_b: set_a > (a > carrie1105631105xt_a_b) > (a > a) > a > a).
4.36/1.01	thf(func_def_109, type, prod_m854557927_d_a_e: set_c > (c > carrie1948989069_d_a_e) > (c > d) > c > d).
4.36/1.01	thf(func_def_110, type, prod_p1959959370xt_a_b: set_c_d_c_d > (((c > d) > c > d) > carrie1105631105xt_a_b) > (((c > d) > c > d) > a) > (((c > d) > c > d) > a) > ((c > d) > c > d) > a).
4.36/1.01	thf(func_def_111, type, prod_p46206586xt_a_b: set_a_a_a_a > ((a > a > a > a) > carrie1105631105xt_a_b) > ((a > a > a > a) > a) > ((a > a > a > a) > a) > (a > a > a > a) > a).
4.36/1.01	thf(func_def_112, type, prod_p452275129xt_a_b: set_a_a_c_d > ((a > a > c > d) > carrie1105631105xt_a_b) > ((a > a > c > d) > a) > ((a > a > c > d) > a) > (a > a > c > d) > a).
4.36/1.01	thf(func_def_113, type, prod_p1460711911xt_a_b: set_a_a_a > ((a > a > a) > carrie1105631105xt_a_b) > ((a > a > a) > a) > ((a > a > a) > a) > (a > a > a) > a).
4.36/1.01	thf(func_def_114, type, prod_p1210452560xt_a_b: set_a_a > ((a > a) > carrie1105631105xt_a_b) > ((a > a) > a) > ((a > a) > a) > (a > a) > a).
4.36/1.01	thf(func_def_115, type, prod_p1466615439xt_a_b: set_c_d > ((c > d) > carrie1105631105xt_a_b) > ((c > d) > a) > ((c > d) > a) > (c > d) > a).
4.36/1.01	thf(func_def_116, type, prod_p704341949xt_a_b: set_a > (a > carrie1105631105xt_a_b) > (a > a) > (a > a) > a > a).
4.36/1.01	thf(func_def_117, type, prod_p708888123xt_a_b: set_c > (c > carrie1105631105xt_a_b) > (c > a) > (c > a) > c > a).
4.36/1.01	thf(func_def_118, type, prod_p131511076_d_a_e: set_c > (c > carrie1948989069_d_a_e) > (c > d) > (c > d) > c > d).
4.36/1.01	thf(func_def_119, type, prod_p711161210xt_a_b: set_d > (d > carrie1105631105xt_a_b) > (d > a) > (d > a) > d > a).
4.36/1.01	thf(func_def_120, type, prod_z851058290xt_a_b: set_a > (a > carrie1105631105xt_a_b) > a > a).
4.36/1.01	thf(func_def_121, type, prod_z1214987823_d_a_e: set_c > (c > carrie1948989069_d_a_e) > c > d).
4.36/1.01	thf(func_def_122, type, sr_a_b2: carrie1105631105xt_a_b > set_a > $o).
4.36/1.01	thf(func_def_123, type, zeroring_a_b: carrie1105631105xt_a_b > $o).
4.36/1.01	thf(func_def_124, type, sum_mult_a_b: carrie1105631105xt_a_b > set_a > set_a > set_a).
4.36/1.01	thf(func_def_125, type, module1440397025unit_b: carrie1954260683t_unit > carrie1105631105xt_a_b > $o).
4.36/1.01	thf(func_def_126, type, module_d_a_e_b: carrie1948989069_d_a_e > carrie1105631105xt_a_b > $o).
4.36/1.01	thf(func_def_127, type, sprod_1929599593t_unit: carrie1954260683t_unit > a > (c > d) > c > d).
4.36/1.01	thf(func_def_128, type, sprod_d_a_e: carrie1948989069_d_a_e > a > d > d).
4.36/1.01	thf(func_def_129, type, mHom_a1526663829t_unit: carrie1105631105xt_a_b > carrie1954260683t_unit > carrie1954260683t_unit > set_c_d_c_d).
4.36/1.01	thf(func_def_130, type, mHom_a764575953it_d_e: carrie1105631105xt_a_b > carrie1954260683t_unit > carrie1948989069_d_a_e > set_c_d_d).
4.36/1.01	thf(func_def_131, type, mHom_a_b_d_e_d_e: carrie1105631105xt_a_b > carrie1948989069_d_a_e > carrie1948989069_d_a_e > set_d_d).
4.36/1.01	thf(func_def_132, type, algebr1968153176_c_d_e: carrie1105631105xt_a_b > set_c > (c > carrie1948989069_d_a_e) > carrie1954260683t_unit).
4.36/1.01	thf(func_def_133, type, algebr828196337_d_d_e: carrie1105631105xt_a_b > set_c_d_c_d > (((c > d) > c > d) > carrie1948989069_d_a_e) > a > (((c > d) > c > d) > d) > ((c > d) > c > d) > d).
4.36/1.01	thf(func_def_134, type, algebr2122715238_a_d_e: carrie1105631105xt_a_b > set_a_a_a_a_a > ((a > a > a > a > a) > carrie1948989069_d_a_e) > a > ((a > a > a > a > a) > d) > (a > a > a > a > a) > d).
4.36/1.01	thf(func_def_135, type, algebr303206081_a_d_e: carrie1105631105xt_a_b > set_a_a_a_a > ((a > a > a > a) > carrie1948989069_d_a_e) > a > ((a > a > a > a) > d) > (a > a > a > a) > d).
4.36/1.01	thf(func_def_136, type, algebr1620716610_d_d_e: carrie1105631105xt_a_b > set_a_a_c_d > ((a > a > c > d) > carrie1948989069_d_a_e) > a > ((a > a > c > d) > d) > (a > a > c > d) > d).
4.36/1.01	thf(func_def_137, type, algebr1655014672_a_d_e: carrie1105631105xt_a_b > set_a_a_a > ((a > a > a) > carrie1948989069_d_a_e) > a > ((a > a > a) > d) > (a > a > a) > d).
4.36/1.01	thf(func_def_138, type, algebr137561451_a_d_e: carrie1105631105xt_a_b > set_a_a > ((a > a) > carrie1948989069_d_a_e) > a > ((a > a) > d) > (a > a) > d).
4.36/1.01	thf(func_def_139, type, algebr924632044_d_d_e: carrie1105631105xt_a_b > set_c_d > ((c > d) > carrie1948989069_d_a_e) > a > ((c > d) > d) > (c > d) > d).
4.36/1.01	thf(func_def_140, type, algebr2109842362_a_d_e: carrie1105631105xt_a_b > set_a > (a > carrie1948989069_d_a_e) > a > (a > d) > a > d).
4.36/1.01	thf(func_def_141, type, algebr1697692348_c_d_e: carrie1105631105xt_a_b > set_c > (c > carrie1948989069_d_a_e) > a > (c > d) > c > d).
4.36/1.01	thf(func_def_142, type, algebr417875517_d_d_e: carrie1105631105xt_a_b > set_d > (d > carrie1948989069_d_a_e) > a > (d > d) > d > d).
4.36/1.01	thf(func_def_143, type, pi_a_a_a_a_a: set_a_a_a > ((a > a > a) > set_a_a) > set_a_a_a_a_a2).
4.36/1.01	thf(func_def_144, type, pi_a_a_a_c_d: set_a_a_a > ((a > a > a) > set_c_d) > set_a_a_a_c_d).
4.36/1.01	thf(func_def_145, type, pi_a_a_a_a: set_a_a_a > ((a > a > a) > set_a) > set_a_a_a_a4).
4.36/1.01	thf(func_def_146, type, pi_a_a_a_a2: set_a_a > ((a > a) > set_a_a) > set_a_a_a_a3).
4.36/1.01	thf(func_def_147, type, pi_a_a_c_d: set_a_a > ((a > a) > set_c_d) > set_a_a_c_d2).
4.36/1.01	thf(func_def_148, type, pi_a_a_a: set_a_a > ((a > a) > set_a) > set_a_a_a2).
4.36/1.01	thf(func_def_149, type, pi_c_d_a_a_a: set_c_d > ((c > d) > set_a_a_a2) > set_c_d_a_a_a2).
4.36/1.01	thf(func_def_150, type, pi_c_d_c_d_c_d: set_c_d > ((c > d) > set_c_d_c_d) > set_c_d_c_d_c_d).
4.36/1.01	thf(func_def_151, type, pi_c_d_c_d_a: set_c_d > ((c > d) > set_c_d_a) > set_c_d_c_d_a).
4.36/1.01	thf(func_def_152, type, pi_c_d_a_a_a2: set_c_d > ((c > d) > set_a_a_a) > set_c_d_a_a_a).
4.36/1.01	thf(func_def_153, type, pi_c_d_a_a: set_c_d > ((c > d) > set_a_a) > set_c_d_a_a).
4.36/1.01	thf(func_def_154, type, pi_c_d_c_d: set_c_d > ((c > d) > set_c_d) > set_c_d_c_d).
4.36/1.01	thf(func_def_155, type, pi_c_d_a: set_c_d > ((c > d) > set_a) > set_c_d_a).
4.36/1.01	thf(func_def_156, type, pi_a_a_a_a3: set_a > (a > set_a_a_a2) > set_a_a_a_a2).
4.36/1.01	thf(func_def_157, type, pi_a_c_d_a: set_a > (a > set_c_d_a) > set_a_c_d_a).
4.36/1.01	thf(func_def_158, type, pi_a_a_c_d_c_d: set_a > (a > set_a_c_d_c_d) > set_a_a_c_d_c_d).
4.36/1.01	thf(func_def_159, type, pi_a_a_a_a_a2: set_a > (a > set_a_a_a_a) > set_a_a_a_a_a).
4.36/1.01	thf(func_def_160, type, pi_a_a_a_a4: set_a > (a > set_a_a_a) > set_a_a_a_a).
4.36/1.01	thf(func_def_161, type, pi_a_a_c_d2: set_a > (a > set_a_c_d) > set_a_a_c_d).
4.36/1.01	thf(func_def_162, type, pi_a_a_a2: set_a > (a > set_a_a) > set_a_a_a).
4.36/1.01	thf(func_def_163, type, pi_a_c_d: set_a > (a > set_c_d) > set_a_c_d).
4.36/1.01	thf(func_def_164, type, pi_a_a: set_a > (a > set_a) > set_a_a).
4.36/1.01	thf(func_def_165, type, pi_a_c: set_a > (a > set_c) > set_a_c).
4.36/1.01	thf(func_def_166, type, pi_a_d: set_a > (a > set_d) > set_a_d).
4.36/1.01	thf(func_def_167, type, pi_c_a: set_c > (c > set_a) > set_c_a).
4.36/1.01	thf(func_def_168, type, pi_c_c: set_c > (c > set_c) > set_c_c).
4.36/1.01	thf(func_def_169, type, pi_c_d: set_c > (c > set_d) > set_c_d).
4.36/1.01	thf(func_def_170, type, pi_d_a: set_d > (d > set_a) > set_d_a).
4.36/1.01	thf(func_def_171, type, pi_d_c: set_d > (d > set_c) > set_d_c).
4.36/1.01	thf(func_def_172, type, pi_d_d: set_d > (d > set_d) > set_d_d).
4.36/1.01	thf(func_def_173, type, plus_plus_nat: nat > nat > nat).
4.36/1.01	thf(func_def_174, type, ord_less_eq_nat: nat > nat > $o).
4.36/1.01	thf(func_def_175, type, ord_less_eq_set_a: set_a > set_a > $o).
4.36/1.01	thf(func_def_176, type, collect_c_d_c_d: (((c > d) > c > d) > $o) > set_c_d_c_d).
4.36/1.01	thf(func_def_177, type, collect_a_a_a_a: ((a > a > a > a) > $o) > set_a_a_a_a).
4.36/1.01	thf(func_def_178, type, collect_a_a_c_d: ((a > a > c > d) > $o) > set_a_a_c_d).
4.36/1.01	thf(func_def_179, type, collect_a_a_a: ((a > a > a) > $o) > set_a_a_a).
4.36/1.01	thf(func_def_180, type, collect_a_a: ((a > a) > $o) > set_a_a).
4.36/1.01	thf(func_def_181, type, collect_c_d: ((c > d) > $o) > set_c_d).
4.36/1.01	thf(func_def_182, type, collect_nat: (nat > $o) > set_nat).
4.36/1.01	thf(func_def_183, type, collect_a: (a > $o) > set_a).
4.36/1.01	thf(func_def_184, type, collect_c: (c > $o) > set_c).
4.36/1.01	thf(func_def_185, type, collect_d: (d > $o) > set_d).
4.36/1.01	thf(func_def_186, type, member_c_d_c_d_a: (((c > d) > c > d) > a) > set_c_d_c_d_a2 > $o).
4.36/1.01	thf(func_def_187, type, member_c_d_c_d_d: (((c > d) > c > d) > d) > set_c_d_c_d_d > $o).
4.36/1.01	thf(func_def_188, type, member_a_a_a_a_a_d: ((a > a > a > a > a) > d) > set_a_a_a_a_a_d > $o).
4.36/1.01	thf(func_def_189, type, member_a_a_a_a_a: ((a > a > a > a) > a) > set_a_a_a_a_a3 > $o).
4.36/1.01	thf(func_def_190, type, member_a_a_a_a_d: ((a > a > a > a) > d) > set_a_a_a_a_d > $o).
4.36/1.01	thf(func_def_191, type, member_a_a_c_d_a: ((a > a > c > d) > a) > set_a_a_c_d_a > $o).
4.36/1.01	thf(func_def_192, type, member_a_a_c_d_d: ((a > a > c > d) > d) > set_a_a_c_d_d > $o).
4.36/1.01	thf(func_def_193, type, member_a_a_a_a_a2: ((a > a > a) > a > a) > set_a_a_a_a_a2 > $o).
4.36/1.01	thf(func_def_194, type, member_a_a_a_c_d: ((a > a > a) > c > d) > set_a_a_a_c_d > $o).
4.36/1.01	thf(func_def_195, type, member_a_a_a_a: ((a > a > a) > a) > set_a_a_a_a4 > $o).
4.36/1.01	thf(func_def_196, type, member_a_a_a_d: ((a > a > a) > d) > set_a_a_a_d > $o).
4.36/1.01	thf(func_def_197, type, member_a_a_a_a2: ((a > a) > a > a) > set_a_a_a_a3 > $o).
4.36/1.01	thf(func_def_198, type, member_a_a_c_d: ((a > a) > c > d) > set_a_a_c_d2 > $o).
4.36/1.01	thf(func_def_199, type, member_a_a_a: ((a > a) > a) > set_a_a_a2 > $o).
4.36/1.01	thf(func_def_200, type, member_a_a_d: ((a > a) > d) > set_a_a_d > $o).
4.36/1.01	thf(func_def_201, type, member_c_d_a_a_a: ((c > d) > (a > a) > a) > set_c_d_a_a_a2 > $o).
4.36/1.01	thf(func_def_202, type, member_c_d_c_d_c_d: ((c > d) > (c > d) > c > d) > set_c_d_c_d_c_d > $o).
4.36/1.01	thf(func_def_203, type, member_c_d_c_d_a2: ((c > d) > (c > d) > a) > set_c_d_c_d_a > $o).
4.36/1.01	thf(func_def_204, type, member_c_d_a_a_a2: ((c > d) > a > a > a) > set_c_d_a_a_a > $o).
4.36/1.01	thf(func_def_205, type, member_c_d_a_a: ((c > d) > a > a) > set_c_d_a_a > $o).
4.36/1.01	thf(func_def_206, type, member_c_d_c_d: ((c > d) > c > d) > set_c_d_c_d > $o).
4.36/1.01	thf(func_def_207, type, member_c_d_a: ((c > d) > a) > set_c_d_a > $o).
4.36/1.01	thf(func_def_208, type, member_c_d_d: ((c > d) > d) > set_c_d_d > $o).
4.36/1.01	thf(func_def_209, type, member_a_a_a_a3: (a > (a > a) > a) > set_a_a_a_a2 > $o).
4.36/1.01	thf(func_def_210, type, member_a_c_d_c_d: (a > (c > d) > c > d) > set_a_c_d_c_d > $o).
4.36/1.01	thf(func_def_211, type, member_a_c_d_a: (a > (c > d) > a) > set_a_c_d_a > $o).
4.36/1.01	thf(func_def_212, type, member_a_a_c_d_c_d: (a > a > (c > d) > c > d) > set_a_a_c_d_c_d > $o).
4.36/1.01	thf(func_def_213, type, member_a_a_a_a_a3: (a > a > a > a > a) > set_a_a_a_a_a > $o).
4.36/1.01	thf(func_def_214, type, member_a_a_a_a4: (a > a > a > a) > set_a_a_a_a > $o).
4.36/1.01	thf(func_def_215, type, member_a_a_c_d2: (a > a > c > d) > set_a_a_c_d > $o).
4.36/1.01	thf(func_def_216, type, member_a_a_a2: (a > a > a) > set_a_a_a > $o).
4.36/1.01	thf(func_def_217, type, member_a_c_d: (a > c > d) > set_a_c_d > $o).
4.36/1.01	thf(func_def_218, type, member_a_a: (a > a) > set_a_a > $o).
4.36/1.01	thf(func_def_219, type, member_a_c: (a > c) > set_a_c > $o).
4.36/1.01	thf(func_def_220, type, member_a_d: (a > d) > set_a_d > $o).
4.36/1.01	thf(func_def_221, type, member_c_c_d: (c > c > d) > set_c_c_d > $o).
4.36/1.01	thf(func_def_222, type, member_c_a: (c > a) > set_c_a > $o).
4.36/1.01	thf(func_def_223, type, member_c_c: (c > c) > set_c_c > $o).
4.36/1.01	thf(func_def_224, type, member_c_d: (c > d) > set_c_d > $o).
4.36/1.01	thf(func_def_225, type, member_d_c_d: (d > c > d) > set_d_c_d > $o).
4.36/1.01	thf(func_def_226, type, member_d_a: (d > a) > set_d_a > $o).
4.36/1.01	thf(func_def_227, type, member_d_c: (d > c) > set_d_c > $o).
4.36/1.01	thf(func_def_228, type, member_d_d: (d > d) > set_d_d > $o).
4.36/1.01	thf(func_def_229, type, member_nat: nat > set_nat > $o).
4.36/1.01	thf(func_def_230, type, member_a: a > set_a > $o).
4.36/1.01	thf(func_def_231, type, member_c: c > set_c > $o).
4.36/1.01	thf(func_def_232, type, member_d: d > set_d > $o).
4.36/1.01	thf(func_def_233, type, i: set_c).
4.36/1.01	thf(func_def_234, type, m: c > carrie1948989069_d_a_e).
4.36/1.01	thf(func_def_235, type, r: carrie1105631105xt_a_b).
4.36/1.01	thf(func_def_237, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
4.36/1.01	thf(func_def_240, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
4.36/1.01	thf(func_def_241, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
4.36/1.01	thf(func_def_242, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
4.36/1.01	thf(func_def_243, type, vIMP: $o > $o > $o).
4.36/1.01	thf(func_def_244, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)).
4.36/1.01	thf(func_def_245, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
4.36/1.01	thf(func_def_246, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
4.36/1.01	thf(func_def_247, type, sK0: c > d).
4.36/1.01	thf(func_def_248, type, sK1: (c > carrie1948989069_d_a_e) > (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_249, type, sK2: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_250, type, sK3: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_251, type, sK4: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_252, type, sK5: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_253, type, sK6: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_254, type, sK7: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_255, type, sK8: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_256, type, sK9: (c > carrie1948989069_d_a_e) > (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_257, type, sK10: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_258, type, sK11: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_259, type, sK12: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_260, type, sK13: (c > d) > (c > d) > set_c > c).
4.36/1.01	thf(func_def_261, type, sK14: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_262, type, sK15: (c > carrie1948989069_d_a_e) > (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_263, type, sK16: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_264, type, sK17: ((c > d) > (c > d) > c > d) > ((c > d) > (c > d) > c > d) > set_c_d > c > d).
4.36/1.01	thf(func_def_265, type, sK18: ((c > d) > c > d) > ((c > d) > c > d) > set_c_d > c > d).
4.36/1.01	thf(func_def_266, type, sK19: ((c > d) > set_c_d) > ((c > d) > c > d) > set_c_d > c > d).
4.36/1.01	thf(func_def_267, type, sK20: set_c_d > ((c > d) > c > d) > set_c_d > c > d).
4.36/1.01	thf(func_def_268, type, sK21: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_269, type, sK22: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_270, type, sK23: (c > carrie1948989069_d_a_e) > (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_271, type, sK24: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_272, type, sK25: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_273, type, sK26: (c > carrie1948989069_d_a_e) > set_c > c).
4.36/1.01	thf(func_def_274, type, sK27: (c > d) > (c > d) > set_c > c).
4.36/1.01	thf(func_def_275, type, sK28: (c > set_d) > (c > d) > set_c > c).
4.36/1.01	thf(func_def_276, type, sK29: (c > set_d) > (c > d) > set_c > c).
4.36/1.01	thf(func_def_277, type, sK30: set_d > (c > d) > set_c > c).
4.36/1.01	thf(func_def_278, type, sK31: (a > a > a > a) > (a > a > a > a) > set_a > a).
4.36/1.01	thf(func_def_279, type, sK32: (a > a > a > a > a) > (a > a > a > a > a) > set_a > a).
4.36/1.01	thf(func_def_280, type, sK33: (a > a > a) > (a > a > a) > set_a > a).
4.36/1.01	thf(func_def_281, type, sK34: (a > set_a_a) > (a > a > a) > set_a > a).
4.36/1.01	thf(func_def_282, type, sK35: set_a_a > (a > a > a) > set_a > a).
4.36/1.01	thf(func_def_283, type, sK36: (a > c > d) > (a > c > d) > set_a > a).
4.36/1.01	thf(func_def_284, type, sK37: (a > set_c_d) > (a > c > d) > set_a > a).
4.36/1.01	thf(func_def_285, type, sK38: set_c_d > (a > c > d) > set_a > a).
4.36/1.01	thf(func_def_286, type, sK39: (a > a > c > d) > (a > a > c > d) > set_a > a).
4.36/1.01	thf(func_def_287, type, sK40: (a > a) > (a > a) > set_a > a).
4.36/1.01	thf(func_def_288, type, sK41: (a > set_a) > (a > a) > set_a > a).
4.36/1.01	thf(func_def_289, type, sK42: (a > set_a) > (a > a) > set_a > a).
4.36/1.01	thf(func_def_290, type, sK43: set_a > (a > a) > set_a > a).
4.36/1.01	thf(func_def_292, type, sK45: c).
4.36/1.01	thf(func_def_293, type, sK46: c).
4.36/1.01	thf(func_def_297, type, sK47: set_c_d > (a > c > d) > set_a > c).
4.36/1.01	thf(func_def_298, type, sK48: (c > d) > c).
4.36/1.01	thf(f2130,plain,(
4.36/1.01	  $false),
4.36/1.01	  inference(trivial_inequality_removal,[],[f2109])).
4.36/1.01	thf(f2109,plain,(
4.36/1.01	  (sK0 != sK0) | (((((prod_p131511076_d_a_e @ i) @ m) @ sK0) @ ((prod_z1214987823_d_a_e @ i) @ m)) != ((((prod_p131511076_d_a_e @ i) @ m) @ sK0) @ ((prod_z1214987823_d_a_e @ i) @ m)))),
4.36/1.01	  inference(superposition,[],[f1401,f2088])).
4.36/1.01	thf(f2088,plain,(
4.36/1.01	  (sK0 = ((((prod_p131511076_d_a_e @ i) @ m) @ sK0) @ ((prod_z1214987823_d_a_e @ i) @ m)))),
4.36/1.01	  inference(forward_demodulation,[],[f2051,f1725])).
4.36/1.01	thf(f1725,plain,(
4.36/1.01	  (sK0 = ((((prod_p131511076_d_a_e @ i) @ m) @ ((prod_z1214987823_d_a_e @ i) @ m)) @ sK0))),
4.36/1.01	  inference(unit_resulting_resolution,[],[f1400,f1406])).
4.36/1.01	thf(f1406,plain,(
4.36/1.01	  ( ! [X0 : c > d] : ((((((prod_p131511076_d_a_e @ i) @ m) @ ((prod_z1214987823_d_a_e @ i) @ m)) @ X0) = X0) | ($true != ((member_c_d @ X0) @ ((carr_p1636662547_d_a_e @ i) @ m)))) )),
4.36/1.01	  inference(cnf_transformation,[],[f1059])).
4.36/1.01	thf(f1059,plain,(
4.36/1.01	  ($true = ((member_c_d_c_d_c_d @ ((prod_p131511076_d_a_e @ i) @ m)) @ ((pi_c_d_c_d_c_d @ ((carr_p1636662547_d_a_e @ i) @ m)) @ (kCOMB @ ((pi_c_d_c_d @ ((carr_p1636662547_d_a_e @ i) @ m)) @ (kCOMB @ ((carr_p1636662547_d_a_e @ i) @ m))))))) & ($true = ((member_c_d_c_d @ ((prod_m854557927_d_a_e @ i) @ m)) @ ((pi_c_d_c_d @ ((carr_p1636662547_d_a_e @ i) @ m)) @ (kCOMB @ ((carr_p1636662547_d_a_e @ i) @ m))))) & ! [X0 : c > d] : ((((((prod_p131511076_d_a_e @ i) @ m) @ ((prod_z1214987823_d_a_e @ i) @ m)) @ X0) = X0) | ($true != ((member_c_d @ X0) @ ((carr_p1636662547_d_a_e @ i) @ m)))) & (((member_c_d @ ((prod_z1214987823_d_a_e @ i) @ m)) @ ((carr_p1636662547_d_a_e @ i) @ m)) = $true) & ! [X1 : c > d] : ((((prod_z1214987823_d_a_e @ i) @ m) = ((((prod_p131511076_d_a_e @ i) @ m) @ (((prod_m854557927_d_a_e @ i) @ m) @ X1)) @ X1)) | ($true != ((member_c_d @ X1) @ ((carr_p1636662547_d_a_e @ i) @ m)))) & ! [X2 : c > d] : (! [X3 : c > d] : ((((((prod_p131511076_d_a_e @ i) @ m) @ X2) @ X3) = ((((prod_p131511076_d_a_e @ i) @ m) @ X3) @ X2)) | ($true != ((member_c_d @ X3) @ ((carr_p1636662547_d_a_e @ i) @ m)))) | ($true != ((member_c_d @ X2) @ ((carr_p1636662547_d_a_e @ i) @ m)))) & ! [X4 : c > d] : (! [X5 : c > d] : (! [X6 : c > d] : ((((((prod_p131511076_d_a_e @ i) @ m) @ ((((prod_p131511076_d_a_e @ i) @ m) @ X4) @ X5)) @ X6) = ((((prod_p131511076_d_a_e @ i) @ m) @ X4) @ ((((prod_p131511076_d_a_e @ i) @ m) @ X5) @ X6))) | ($true != ((member_c_d @ X6) @ ((carr_p1636662547_d_a_e @ i) @ m)))) | ($true != ((member_c_d @ X5) @ ((carr_p1636662547_d_a_e @ i) @ m)))) | ($true != ((member_c_d @ X4) @ ((carr_p1636662547_d_a_e @ i) @ m))))),
4.36/1.01	  inference(ennf_transformation,[],[f1054])).
4.36/1.01	thf(f1054,plain,(
4.36/1.01	  ($true = ((member_c_d_c_d_c_d @ ((prod_p131511076_d_a_e @ i) @ m)) @ ((pi_c_d_c_d_c_d @ ((carr_p1636662547_d_a_e @ i) @ m)) @ (kCOMB @ ((pi_c_d_c_d @ ((carr_p1636662547_d_a_e @ i) @ m)) @ (kCOMB @ ((carr_p1636662547_d_a_e @ i) @ m))))))) & ($true = ((member_c_d_c_d @ ((prod_m854557927_d_a_e @ i) @ m)) @ ((pi_c_d_c_d @ ((carr_p1636662547_d_a_e @ i) @ m)) @ (kCOMB @ ((carr_p1636662547_d_a_e @ i) @ m))))) & ! [X0 : c > d] : (($true = ((member_c_d @ X0) @ ((carr_p1636662547_d_a_e @ i) @ m))) => (((((prod_p131511076_d_a_e @ i) @ m) @ ((prod_z1214987823_d_a_e @ i) @ m)) @ X0) = X0)) & (((member_c_d @ ((prod_z1214987823_d_a_e @ i) @ m)) @ ((carr_p1636662547_d_a_e @ i) @ m)) = $true) & ! [X1 : c > d] : (($true = ((member_c_d @ X1) @ ((carr_p1636662547_d_a_e @ i) @ m))) => (((prod_z1214987823_d_a_e @ i) @ m) = ((((prod_p131511076_d_a_e @ i) @ m) @ (((prod_m854557927_d_a_e @ i) @ m) @ X1)) @ X1))) & ! [X2 : c > d] : (($true = ((member_c_d @ X2) @ ((carr_p1636662547_d_a_e @ i) @ m))) => ! [X3 : c > d] : (($true = ((member_c_d @ X3) @ ((carr_p1636662547_d_a_e @ i) @ m))) => (((((prod_p131511076_d_a_e @ i) @ m) @ X2) @ X3) = ((((prod_p131511076_d_a_e @ i) @ m) @ X3) @ X2)))) & ! [X4 : c > d] : (($true = ((member_c_d @ X4) @ ((carr_p1636662547_d_a_e @ i) @ m))) => ! [X5 : c > d] : (($true = ((member_c_d @ X5) @ ((carr_p1636662547_d_a_e @ i) @ m))) => ! [X6 : c > d] : (($true = ((member_c_d @ X6) @ ((carr_p1636662547_d_a_e @ i) @ m))) => (((((prod_p131511076_d_a_e @ i) @ m) @ ((((prod_p131511076_d_a_e @ i) @ m) @ X4) @ X5)) @ X6) = ((((prod_p131511076_d_a_e @ i) @ m) @ X4) @ ((((prod_p131511076_d_a_e @ i) @ m) @ X5) @ X6))))))),
4.36/1.01	  inference(rectify,[],[f364])).
4.36/1.01	thf(f364,plain,(
4.36/1.01	  ($true = ((member_c_d_c_d_c_d @ ((prod_p131511076_d_a_e @ i) @ m)) @ ((pi_c_d_c_d_c_d @ ((carr_p1636662547_d_a_e @ i) @ m)) @ (kCOMB @ ((pi_c_d_c_d @ ((carr_p1636662547_d_a_e @ i) @ m)) @ (kCOMB @ ((carr_p1636662547_d_a_e @ i) @ m))))))) & ($true = ((member_c_d_c_d @ ((prod_m854557927_d_a_e @ i) @ m)) @ ((pi_c_d_c_d @ ((carr_p1636662547_d_a_e @ i) @ m)) @ (kCOMB @ ((carr_p1636662547_d_a_e @ i) @ m))))) & ! [X3 : c > d] : (($true = ((member_c_d @ X3) @ ((carr_p1636662547_d_a_e @ i) @ m))) => (((((prod_p131511076_d_a_e @ i) @ m) @ ((prod_z1214987823_d_a_e @ i) @ m)) @ X3) = X3)) & (((member_c_d @ ((prod_z1214987823_d_a_e @ i) @ m)) @ ((carr_p1636662547_d_a_e @ i) @ m)) = $true) & ! [X4 : c > d] : (($true = ((member_c_d @ X4) @ ((carr_p1636662547_d_a_e @ i) @ m))) => (((prod_z1214987823_d_a_e @ i) @ m) = ((((prod_p131511076_d_a_e @ i) @ m) @ (((prod_m854557927_d_a_e @ i) @ m) @ X4)) @ X4))) & ! [X5 : c > d] : (($true = ((member_c_d @ X5) @ ((carr_p1636662547_d_a_e @ i) @ m))) => ! [X6 : c > d] : (($true = ((member_c_d @ X6) @ ((carr_p1636662547_d_a_e @ i) @ m))) => (((((prod_p131511076_d_a_e @ i) @ m) @ X5) @ X6) = ((((prod_p131511076_d_a_e @ i) @ m) @ X6) @ X5)))) & ! [X7 : c > d] : (($true = ((member_c_d @ X7) @ ((carr_p1636662547_d_a_e @ i) @ m))) => ! [X8 : c > d] : (($true = ((member_c_d @ X8) @ ((carr_p1636662547_d_a_e @ i) @ m))) => ! [X9 : c > d] : (($true = ((member_c_d @ X9) @ ((carr_p1636662547_d_a_e @ i) @ m))) => (((((prod_p131511076_d_a_e @ i) @ m) @ ((((prod_p131511076_d_a_e @ i) @ m) @ X7) @ X8)) @ X9) = ((((prod_p131511076_d_a_e @ i) @ m) @ X7) @ ((((prod_p131511076_d_a_e @ i) @ m) @ X8) @ X9))))))),
4.36/1.01	  inference(fool_elimination,[],[f363])).
4.36/1.01	thf(f363,plain,(
4.36/1.01	  ((member_c_d_c_d_c_d @ ((prod_p131511076_d_a_e @ i) @ m)) @ ((pi_c_d_c_d_c_d @ ((carr_p1636662547_d_a_e @ i) @ m)) @ (^[X0 : c > d] : (((pi_c_d_c_d @ ((carr_p1636662547_d_a_e @ i) @ m)) @ (^[X1 : c > d] : (((carr_p1636662547_d_a_e @ i) @ m)))))))) & ((member_c_d_c_d @ ((prod_m854557927_d_a_e @ i) @ m)) @ ((pi_c_d_c_d @ ((carr_p1636662547_d_a_e @ i) @ m)) @ (^[X2 : c > d] : (((carr_p1636662547_d_a_e @ i) @ m))))) & ! [X3 : c > d] : (((member_c_d @ X3) @ ((carr_p1636662547_d_a_e @ i) @ m)) => (((((prod_p131511076_d_a_e @ i) @ m) @ ((prod_z1214987823_d_a_e @ i) @ m)) @ X3) = X3)) & ((member_c_d @ ((prod_z1214987823_d_a_e @ i) @ m)) @ ((carr_p1636662547_d_a_e @ i) @ m)) & ! [X4 : c > d] : (((member_c_d @ X4) @ ((carr_p1636662547_d_a_e @ i) @ m)) => (((prod_z1214987823_d_a_e @ i) @ m) = ((((prod_p131511076_d_a_e @ i) @ m) @ (((prod_m854557927_d_a_e @ i) @ m) @ X4)) @ X4))) & ! [X5 : c > d] : (((member_c_d @ X5) @ ((carr_p1636662547_d_a_e @ i) @ m)) => ! [X6 : c > d] : (((member_c_d @ X6) @ ((carr_p1636662547_d_a_e @ i) @ m)) => (((((prod_p131511076_d_a_e @ i) @ m) @ X5) @ X6) = ((((prod_p131511076_d_a_e @ i) @ m) @ X6) @ X5)))) & ! [X7 : c > d] : (((member_c_d @ X7) @ ((carr_p1636662547_d_a_e @ i) @ m)) => ! [X8 : c > d] : (((member_c_d @ X8) @ ((carr_p1636662547_d_a_e @ i) @ m)) => ! [X9 : c > d] : (((member_c_d @ X9) @ ((carr_p1636662547_d_a_e @ i) @ m)) => (((((prod_p131511076_d_a_e @ i) @ m) @ ((((prod_p131511076_d_a_e @ i) @ m) @ X7) @ X8)) @ X9) = ((((prod_p131511076_d_a_e @ i) @ m) @ X7) @ ((((prod_p131511076_d_a_e @ i) @ m) @ X8) @ X9))))))),
4.36/1.01	  inference(rectify,[],[f76])).
4.36/1.01	thf(f76,axiom,(
4.36/1.01	  ((member_c_d_c_d_c_d @ ((prod_p131511076_d_a_e @ i) @ m)) @ ((pi_c_d_c_d_c_d @ ((carr_p1636662547_d_a_e @ i) @ m)) @ (^[X11 : c > d] : (((pi_c_d_c_d @ ((carr_p1636662547_d_a_e @ i) @ m)) @ (^[X17 : c > d] : (((carr_p1636662547_d_a_e @ i) @ m)))))))) & ((member_c_d_c_d @ ((prod_m854557927_d_a_e @ i) @ m)) @ ((pi_c_d_c_d @ ((carr_p1636662547_d_a_e @ i) @ m)) @ (^[X11 : c > d] : (((carr_p1636662547_d_a_e @ i) @ m))))) & ! [X32 : c > d] : (((member_c_d @ X32) @ ((carr_p1636662547_d_a_e @ i) @ m)) => (((((prod_p131511076_d_a_e @ i) @ m) @ ((prod_z1214987823_d_a_e @ i) @ m)) @ X32) = X32)) & ((member_c_d @ ((prod_z1214987823_d_a_e @ i) @ m)) @ ((carr_p1636662547_d_a_e @ i) @ m)) & ! [X32 : c > d] : (((member_c_d @ X32) @ ((carr_p1636662547_d_a_e @ i) @ m)) => (((((prod_p131511076_d_a_e @ i) @ m) @ (((prod_m854557927_d_a_e @ i) @ m) @ X32)) @ X32) = ((prod_z1214987823_d_a_e @ i) @ m))) & ! [X32 : c > d] : (((member_c_d @ X32) @ ((carr_p1636662547_d_a_e @ i) @ m)) => ! [X33 : c > d] : (((member_c_d @ X33) @ ((carr_p1636662547_d_a_e @ i) @ m)) => (((((prod_p131511076_d_a_e @ i) @ m) @ X32) @ X33) = ((((prod_p131511076_d_a_e @ i) @ m) @ X33) @ X32)))) & ! [X32 : c > d] : (((member_c_d @ X32) @ ((carr_p1636662547_d_a_e @ i) @ m)) => ! [X33 : c > d] : (((member_c_d @ X33) @ ((carr_p1636662547_d_a_e @ i) @ m)) => ! [X34 : c > d] : (((member_c_d @ X34) @ ((carr_p1636662547_d_a_e @ i) @ m)) => (((((prod_p131511076_d_a_e @ i) @ m) @ ((((prod_p131511076_d_a_e @ i) @ m) @ X32) @ X33)) @ X34) = ((((prod_p131511076_d_a_e @ i) @ m) @ X32) @ ((((prod_p131511076_d_a_e @ i) @ m) @ X33) @ X34))))))),
4.36/1.01	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
4.36/1.01	thf(f1400,plain,(
4.36/1.01	  ($true = ((member_c_d @ sK0) @ ((carr_p1636662547_d_a_e @ i) @ m)))),
4.36/1.01	  inference(cnf_transformation,[],[f1313])).
4.36/1.01	thf(f1313,plain,(
4.36/1.01	  (sK0 != ((((prod_p131511076_d_a_e @ i) @ m) @ sK0) @ ((prod_z1214987823_d_a_e @ i) @ m))) & ($true = ((member_c_d @ sK0) @ ((carr_p1636662547_d_a_e @ i) @ m)))),
4.36/1.01	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1058,f1312])).
4.36/1.01	thf(f1312,plain,(
4.36/1.01	  ? [X0 : c > d] : ((((((prod_p131511076_d_a_e @ i) @ m) @ X0) @ ((prod_z1214987823_d_a_e @ i) @ m)) != X0) & ($true = ((member_c_d @ X0) @ ((carr_p1636662547_d_a_e @ i) @ m)))) => ((sK0 != ((((prod_p131511076_d_a_e @ i) @ m) @ sK0) @ ((prod_z1214987823_d_a_e @ i) @ m))) & ($true = ((member_c_d @ sK0) @ ((carr_p1636662547_d_a_e @ i) @ m))))),
4.36/1.01	  introduced(choice_axiom,[])).
4.36/1.01	thf(f1058,plain,(
4.36/1.01	  ? [X0 : c > d] : ((((((prod_p131511076_d_a_e @ i) @ m) @ X0) @ ((prod_z1214987823_d_a_e @ i) @ m)) != X0) & ($true = ((member_c_d @ X0) @ ((carr_p1636662547_d_a_e @ i) @ m))))),
4.36/1.01	  inference(ennf_transformation,[],[f1053])).
4.36/1.01	thf(f1053,plain,(
4.36/1.01	  ~! [X0 : c > d] : ((((((prod_p131511076_d_a_e @ i) @ m) @ X0) @ ((prod_z1214987823_d_a_e @ i) @ m)) = X0) | ($true != ((member_c_d @ X0) @ ((carr_p1636662547_d_a_e @ i) @ m))))),
4.36/1.01	  inference(flattening,[],[f362])).
4.36/1.01	thf(f362,plain,(
4.36/1.01	  ~! [X0 : c > d] : ((((((prod_p131511076_d_a_e @ i) @ m) @ X0) @ ((prod_z1214987823_d_a_e @ i) @ m)) = X0) | ~($true = ((member_c_d @ X0) @ ((carr_p1636662547_d_a_e @ i) @ m))))),
4.36/1.01	  inference(fool_elimination,[],[f361])).
4.36/1.01	thf(f361,plain,(
4.36/1.01	  ~! [X0 : c > d] : ((((((prod_p131511076_d_a_e @ i) @ m) @ X0) @ ((prod_z1214987823_d_a_e @ i) @ m)) = X0) | ~((member_c_d @ X0) @ ((carr_p1636662547_d_a_e @ i) @ m)))),
4.36/1.01	  inference(rectify,[],[f321])).
4.36/1.01	thf(f321,negated_conjecture,(
4.36/1.01	  ~! [X53 : c > d] : ((((((prod_p131511076_d_a_e @ i) @ m) @ X53) @ ((prod_z1214987823_d_a_e @ i) @ m)) = X53) | ~((member_c_d @ X53) @ ((carr_p1636662547_d_a_e @ i) @ m)))),
4.36/1.01	  inference(negated_conjecture,[],[f320])).
4.36/1.01	thf(f320,conjecture,(
4.36/1.01	  ! [X53 : c > d] : ((((((prod_p131511076_d_a_e @ i) @ m) @ X53) @ ((prod_z1214987823_d_a_e @ i) @ m)) = X53) | ~((member_c_d @ X53) @ ((carr_p1636662547_d_a_e @ i) @ m)))),
4.36/1.01	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2)).
4.36/1.01	thf(f2051,plain,(
4.36/1.01	  (((((prod_p131511076_d_a_e @ i) @ m) @ sK0) @ ((prod_z1214987823_d_a_e @ i) @ m)) = ((((prod_p131511076_d_a_e @ i) @ m) @ ((prod_z1214987823_d_a_e @ i) @ m)) @ sK0))),
4.36/1.01	  inference(unit_resulting_resolution,[],[f1400,f1405,f1403])).
4.36/1.01	thf(f1403,plain,(
4.36/1.01	  ( ! [X2 : c > d,X3 : c > d] : ((((((prod_p131511076_d_a_e @ i) @ m) @ X2) @ X3) = ((((prod_p131511076_d_a_e @ i) @ m) @ X3) @ X2)) | ($true != ((member_c_d @ X3) @ ((carr_p1636662547_d_a_e @ i) @ m))) | ($true != ((member_c_d @ X2) @ ((carr_p1636662547_d_a_e @ i) @ m)))) )),
4.36/1.01	  inference(cnf_transformation,[],[f1059])).
4.36/1.01	thf(f1405,plain,(
4.36/1.01	  (((member_c_d @ ((prod_z1214987823_d_a_e @ i) @ m)) @ ((carr_p1636662547_d_a_e @ i) @ m)) = $true)),
4.36/1.01	  inference(cnf_transformation,[],[f1059])).
4.36/1.01	thf(f1401,plain,(
4.36/1.01	  (sK0 != ((((prod_p131511076_d_a_e @ i) @ m) @ sK0) @ ((prod_z1214987823_d_a_e @ i) @ m)))),
4.36/1.01	  inference(cnf_transformation,[],[f1313])).
4.36/1.01	% SZS output end Proof for theBenchmark
4.36/1.01	% (18760)------------------------------
4.36/1.01	% (18760)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
4.36/1.01	% (18760)Termination reason: Refutation
4.36/1.01	
4.36/1.01	% (18760)Memory used [KB]: 10234
4.36/1.01	% (18760)Time elapsed: 0.571 s
4.36/1.01	% (18760)------------------------------
4.36/1.01	% (18760)------------------------------
4.36/1.01	% (18735)Success in time 0.648 s
4.36/1.01	EOF