0.02/0.24	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.25	% Command    : run_vampire %s %d
0.11/0.46	% Computer   : n029.cluster.edu
0.11/0.46	% Model      : x86_64 x86_64
0.11/0.46	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.46	% Memory     : 8042.1875MB
0.11/0.46	% OS         : Linux 3.10.0-693.el7.x86_64
0.11/0.46	% CPULimit   : 1200
0.11/0.46	% WCLimit    : 120
0.11/0.46	% DateTime   : Tue Jul 13 15:53:25 EDT 2021
0.11/0.46	% CPUTime    : 
0.11/0.46	This is a THF_ problem
0.11/0.46	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.11/0.47	Running in auto input_syntax mode. Trying TPTP
0.17/0.50	% (14662)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
0.17/0.52	% (14665)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
0.17/0.52	% (14664)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
0.17/0.52	% (14675)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
0.17/0.52	% (14684)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
0.17/0.52	% (14676)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
0.17/0.52	% (14666)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
0.17/0.53	% (14663)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
0.17/0.53	% (14666)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.53	% (14681)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
0.17/0.53	% (14675)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.53	% (14677)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
0.17/0.54	% (14668)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
0.17/0.54	% (14673)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
0.17/0.54	% (14682)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
0.17/0.54	% (14671)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
0.17/0.54	% (14678)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
0.17/0.54	% (14688)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
0.17/0.54	% (14667)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
0.17/0.54	% (14669)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
0.17/0.54	% (14674)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
0.17/0.55	% (14669)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.55	% (14670)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
0.17/0.55	% (14680)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
0.17/0.55	% (14691)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
0.17/0.55	% (14668)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.55	% (14664)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.56	% (14686)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
0.17/0.56	% (14679)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
0.17/0.56	% (14687)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
0.17/0.56	% (14683)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
0.17/0.56	% (14685)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
0.17/0.56	% (14672)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
0.17/0.56	% (14690)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
0.17/0.57	% (14684)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.57	% (14671)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.57	% (14678)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.57	% (14689)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
0.17/0.57	% (14685)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.58	% (14686)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.59	% (14681)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.17/0.59	% (14679)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.59	% (14687)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.17/0.59	% (14677)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.74/0.60	% (14678)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.74/0.61	% (14670)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.00/0.62	% (14671)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.00/0.64	% (14676)First to succeed.
1.34/0.66	% (14676)Refutation found. Thanks to Tanya!
1.34/0.66	% SZS status Theorem for theBenchmark
1.34/0.66	% SZS output start Proof for theBenchmark
1.34/0.66	thf(type_def_6, type, del: $tType).
1.34/0.66	thf(func_def_7, type, bool: del).
1.34/0.66	thf(func_def_8, type, ind: del).
1.34/0.66	thf(type_def_9, type, >: ($tType * $tType) > $tType).
1.34/0.66	thf(func_def_10, type, arr: del > del > del).
1.34/0.66	thf(func_def_11, type, mem: $i > del > $o).
1.34/0.66	thf(func_def_12, type, ap: $i > $i > $i).
1.34/0.66	thf(func_def_13, type, lam: del > ($i > $i) > $i).
1.34/0.66	thf(func_def_14, type, p: $i > $o).
1.34/0.66	thf(func_def_15, type, inj__o: $o > $i).
1.34/0.66	thf(func_def_23, type, c_2Emin_2E_3D: del > $i).
1.34/0.66	thf(func_def_24, type, c_2Ebool_2E_21: del > $i).
1.34/0.66	thf(func_def_25, type, c_2Epred__set_2EUNIV: del > $i).
1.34/0.66	thf(func_def_26, type, ty_2Epair_2Eprod: del > del > del).
1.34/0.66	thf(func_def_27, type, c_2Epred__set_2ECROSS: del > del > $i).
1.34/0.66	thf(func_def_28, type, c_2Epred__set_2EBIJ: del > del > $i).
1.34/0.66	thf(func_def_29, type, ty_2Enum_2Enum: del).
1.34/0.66	thf(type_def_30, type, tp__ty_2Enum_2Enum: $tType).
1.34/0.66	thf(func_def_31, type, inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i).
1.34/0.66	thf(func_def_32, type, surj__ty_2Enum_2Enum: $i > tp__ty_2Enum_2Enum).
1.34/0.66	thf(type_def_33, type, tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: $tType).
1.34/0.66	thf(func_def_34, type, inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum > $i).
1.34/0.66	thf(func_def_35, type, surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: $i > tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum).
1.34/0.66	thf(func_def_36, type, c_2Ebool_2E_3F: del > $i).
1.34/0.66	thf(func_def_37, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
1.34/0.66	thf(func_def_40, type, sP0: del > del > $i > $o).
1.34/0.66	thf(func_def_41, type, sP1: $i > del > del > $o).
1.34/0.66	thf(func_def_42, type, sP2: $i > $i > del > $o).
1.34/0.66	thf(func_def_43, type, sP3: $i > del > $i > $o).
1.34/0.66	thf(func_def_44, type, sP4: del > $i > $i > $o).
1.34/0.66	thf(func_def_45, type, sP5: del > $i > $i > $o).
1.34/0.66	thf(func_def_46, type, sP6: $i > $i > del > $o).
1.34/0.66	thf(func_def_47, type, sP7: $i > $i > del > $o).
1.34/0.66	thf(func_def_48, type, sP8: $i > $i > del > $o).
1.34/0.66	thf(func_def_49, type, sP9: del > $i > $i > $o).
1.34/0.66	thf(func_def_50, type, sP10: del > $i > $i > $o).
1.34/0.66	thf(func_def_51, type, sP11: del > $i > $i > $o).
1.34/0.66	thf(func_def_52, type, sP12: del > $i > $i > $o).
1.34/0.66	thf(func_def_53, type, sP13: del > $i > $i > $o).
1.34/0.66	thf(func_def_54, type, sP14: del > $i > $i > $o).
1.34/0.66	thf(func_def_55, type, sP15: $i > del > $i > $o).
1.34/0.66	thf(func_def_56, type, sP16: $i > del > $i > $o).
1.34/0.66	thf(func_def_57, type, sP17: $i > $i > del > $o).
1.34/0.66	thf(func_def_58, type, sP18: $i > $i > $i > $o).
1.34/0.66	thf(func_def_59, type, sP19: $i > $i > $i > $o).
1.34/0.66	thf(func_def_60, type, sP20: $i > $i > $i > $o).
1.34/0.66	thf(func_def_61, type, sP21: $i > $i > $i > $o).
1.34/0.66	thf(func_def_62, type, sP22: $i > $i > $i > $o).
1.34/0.66	thf(func_def_63, type, sP23: $i > $i > $i > $o).
1.34/0.66	thf(func_def_64, type, sP24: $i > $i > $i > $o).
1.34/0.66	thf(func_def_65, type, sP25: $i > $i > $i > $o).
1.34/0.66	thf(func_def_66, type, sP26: $i > $i > $i > $o).
1.34/0.66	thf(func_def_67, type, sP27: $i > $i > $i > $o).
1.34/0.66	thf(func_def_68, type, sP28: $i > $i > $i > $o).
1.34/0.66	thf(func_def_69, type, sP29: $i > $i > $i > $o).
1.34/0.66	thf(func_def_70, type, sP30: $i > $i > $i > $o).
1.34/0.66	thf(func_def_71, type, sP31: $i > $i > $i > $o).
1.34/0.66	thf(func_def_72, type, sP32: $i > $i > $o).
1.34/0.66	thf(func_def_73, type, sP33: $i > $i > $o).
1.34/0.66	thf(func_def_74, type, sP34: $i > $o).
1.34/0.66	thf(func_def_75, type, sP35: $i > $o).
1.34/0.66	thf(func_def_76, type, sP36: $i > $o).
1.34/0.66	thf(func_def_77, type, sP37: $i > $o).
1.34/0.66	thf(func_def_78, type, sP38: $i > $o).
1.34/0.66	thf(func_def_80, type, sK40: $i > $i > del > del > $i).
1.34/0.66	thf(func_def_81, type, sK41: $i > $i > del > del > $i).
1.34/0.66	thf(func_def_82, type, sK42: $i > $i > del > $i).
1.34/0.66	thf(func_def_83, type, sK43: $i > del > del > $i).
1.34/0.66	thf(func_def_84, type, sK44: del > del > $i > $i).
1.34/0.66	thf(func_def_85, type, sK45: $i > del > $i > $i).
1.34/0.66	thf(func_def_86, type, sK46: $i > $i > del > $i).
1.34/0.66	thf(func_def_87, type, sK47: $i > del > $i).
1.34/0.66	thf(func_def_88, type, sK48: $i > $i > del > $i).
1.34/0.66	thf(func_def_89, type, sK49: del > $i > $i).
1.34/0.66	thf(func_def_90, type, sK50: del > $i > $i > $i).
1.34/0.66	thf(func_def_91, type, sK51: $i > $i > del > $i).
1.34/0.66	thf(func_def_92, type, sK52: $i > del > $i).
1.34/0.66	thf(func_def_93, type, sK53: $i > del > $i).
1.34/0.66	thf(func_def_94, type, sK54: $i > del > $i).
1.34/0.66	thf(func_def_95, type, sK55: del > $i > $i).
1.34/0.66	thf(func_def_96, type, sK56: $i > $i > del > $i).
1.34/0.66	thf(func_def_97, type, sK57: del > $i > $i > $i).
1.34/0.66	thf(func_def_98, type, sK58: del > $i > $i).
1.34/0.66	thf(func_def_99, type, sK59: del > $i > $i > $i).
1.34/0.66	thf(func_def_100, type, sK60: del > $i > $i).
1.34/0.66	thf(func_def_101, type, sK61: del > $i > $i).
1.34/0.66	thf(func_def_102, type, sK62: del > $i > $i > $i).
1.34/0.66	thf(func_def_103, type, sK63: $i > $i > del > $i).
1.34/0.66	thf(func_def_104, type, sK64: $i > del > $i).
1.34/0.66	thf(func_def_105, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
1.34/0.66	thf(func_def_106, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
1.34/0.66	thf(func_def_107, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
1.34/0.66	thf(func_def_108, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
1.34/0.66	thf(func_def_109, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
1.34/0.66	thf(f755,plain,(
1.34/0.66	  $false),
1.34/0.66	  inference(trivial_inequality_removal,[],[f754])).
1.34/0.66	thf(f754,plain,(
1.34/0.66	  ($true != $true)),
1.34/0.66	  inference(superposition,[],[f753,f474])).
1.34/0.66	thf(f474,plain,(
1.34/0.66	  ( ! [X0 : del] : (($true = ((mem @ (c_2Epred__set_2EUNIV @ X0)) @ ((arr @ X0) @ bool)))) )),
1.34/0.66	  inference(cnf_transformation,[],[f128])).
1.34/0.66	thf(f128,plain,(
1.34/0.66	  ! [X0 : del] : ($true = ((mem @ (c_2Epred__set_2EUNIV @ X0)) @ ((arr @ X0) @ bool)))),
1.34/0.66	  inference(fool_elimination,[],[f127])).
1.34/0.66	thf(f127,plain,(
1.34/0.66	  ! [X0 : del] : ((mem @ (c_2Epred__set_2EUNIV @ X0)) @ ((arr @ X0) @ bool))),
1.34/0.66	  inference(rectify,[],[f45])).
1.34/0.66	thf(f45,axiom,(
1.34/0.66	  ! [X7 : del] : ((mem @ (c_2Epred__set_2EUNIV @ X7)) @ ((arr @ X7) @ bool))),
1.34/0.66	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2EUNIV)).
1.34/0.66	thf(f753,plain,(
1.34/0.66	  ($true != ((mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ((arr @ ty_2Enum_2Enum) @ bool)))),
1.34/0.66	  inference(trivial_inequality_removal,[],[f752])).
1.34/0.66	thf(f752,plain,(
1.34/0.66	  ($true != $true) | ($true != ((mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ((arr @ ty_2Enum_2Enum) @ bool)))),
1.34/0.66	  inference(duplicate_literal_removal,[],[f751])).
1.34/0.66	thf(f751,plain,(
1.34/0.66	  ($true != $true) | ($true != ((mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ((arr @ ty_2Enum_2Enum) @ bool))) | ($true != ((mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ((arr @ ty_2Enum_2Enum) @ bool)))),
1.34/0.66	  inference(superposition,[],[f750,f473])).
1.34/0.66	thf(f473,plain,(
1.34/0.66	  ( ! [X0 : del,X1 : del] : (($true = ((mem @ ((c_2Epred__set_2ECROSS @ X0) @ X1)) @ ((arr @ ((arr @ X0) @ bool)) @ ((arr @ ((arr @ X1) @ bool)) @ ((arr @ ((ty_2Epair_2Eprod @ X0) @ X1)) @ bool)))))) )),
1.34/0.66	  inference(cnf_transformation,[],[f162])).
1.34/0.66	thf(f162,plain,(
1.34/0.66	  ! [X0 : del,X1 : del] : ($true = ((mem @ ((c_2Epred__set_2ECROSS @ X0) @ X1)) @ ((arr @ ((arr @ X0) @ bool)) @ ((arr @ ((arr @ X1) @ bool)) @ ((arr @ ((ty_2Epair_2Eprod @ X0) @ X1)) @ bool)))))),
1.34/0.66	  inference(fool_elimination,[],[f161])).
1.34/0.66	thf(f161,plain,(
1.34/0.66	  ! [X0 : del,X1 : del] : ((mem @ ((c_2Epred__set_2ECROSS @ X0) @ X1)) @ ((arr @ ((arr @ X0) @ bool)) @ ((arr @ ((arr @ X1) @ bool)) @ ((arr @ ((ty_2Epair_2Eprod @ X0) @ X1)) @ bool))))),
1.34/0.66	  inference(rectify,[],[f67])).
1.34/0.66	thf(f67,axiom,(
1.34/0.66	  ! [X7 : del,X22 : del] : ((mem @ ((c_2Epred__set_2ECROSS @ X7) @ X22)) @ ((arr @ ((arr @ X7) @ bool)) @ ((arr @ ((arr @ X22) @ bool)) @ ((arr @ ((ty_2Epair_2Eprod @ X7) @ X22)) @ bool))))),
1.34/0.66	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2ECROSS)).
1.34/0.66	thf(f750,plain,(
1.34/0.66	  ( ! [X0 : del,X1 : del] : (($true != ((mem @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ((arr @ X1) @ ((arr @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool))))) | ($true != ((mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ X1)) | ($true != ((mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ X0))) )),
1.34/0.66	  inference(trivial_inequality_removal,[],[f749])).
1.34/0.66	thf(f749,plain,(
1.34/0.66	  ( ! [X0 : del,X1 : del] : (($true != $true) | ($true != ((mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ X0)) | ($true != ((mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ X1)) | ($true != ((mem @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ((arr @ X1) @ ((arr @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool)))))) )),
1.34/0.66	  inference(superposition,[],[f748,f491])).
1.34/0.66	thf(f491,plain,(
1.34/0.66	  ( ! [X2 : $i,X0 : del,X3 : $i,X1 : del] : ((((mem @ ((ap @ X2) @ X3)) @ X1) = $true) | (((mem @ X3) @ X0) != $true) | (((mem @ X2) @ ((arr @ X0) @ X1)) != $true)) )),
1.34/0.66	  inference(cnf_transformation,[],[f223])).
1.34/0.66	thf(f223,plain,(
1.34/0.66	  ! [X0 : del,X1 : del,X2] : (! [X3] : ((((mem @ ((ap @ X2) @ X3)) @ X1) = $true) | (((mem @ X3) @ X0) != $true)) | (((mem @ X2) @ ((arr @ X0) @ X1)) != $true))),
1.34/0.66	  inference(ennf_transformation,[],[f172])).
1.34/0.66	thf(f172,plain,(
1.34/0.66	  ! [X0 : del,X1 : del,X2] : ((((mem @ X2) @ ((arr @ X0) @ X1)) = $true) => ! [X3] : ((((mem @ X3) @ X0) = $true) => (((mem @ ((ap @ X2) @ X3)) @ X1) = $true)))),
1.34/0.66	  inference(fool_elimination,[],[f171])).
1.34/0.66	thf(f171,plain,(
1.34/0.66	  ! [X0 : del,X1 : del,X2] : (((mem @ X2) @ ((arr @ X0) @ X1)) => ! [X3] : (((mem @ X3) @ X0) => ((mem @ ((ap @ X2) @ X3)) @ X1)))),
1.34/0.66	  inference(rectify,[],[f5])).
1.34/0.66	thf(f5,axiom,(
1.34/0.66	  ! [X0 : del,X1 : del,X2] : (((mem @ X2) @ ((arr @ X0) @ X1)) => ! [X3] : (((mem @ X3) @ X0) => ((mem @ ((ap @ X2) @ X3)) @ X1)))),
1.34/0.66	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp)).
1.34/0.66	thf(f748,plain,(
1.34/0.66	  ( ! [X0 : del] : (($true != ((mem @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool)))) | ($true != ((mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ X0))) )),
1.34/0.66	  inference(trivial_inequality_removal,[],[f747])).
1.34/0.66	thf(f747,plain,(
1.34/0.66	  ( ! [X0 : del] : (($true != $true) | ($true != ((mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ X0)) | ($true != ((mem @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool))))) )),
1.34/0.66	  inference(superposition,[],[f746,f491])).
1.34/0.66	thf(f746,plain,(
1.34/0.66	  ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool)))),
1.34/0.66	  inference(trivial_inequality_removal,[],[f745])).
1.34/0.66	thf(f745,plain,(
1.34/0.66	  ($true != $true) | ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool)))),
1.34/0.66	  inference(forward_demodulation,[],[f744,f471])).
1.34/0.66	thf(f471,plain,(
1.34/0.66	  ($true = ((mem @ sK39) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)))),
1.34/0.66	  inference(cnf_transformation,[],[f314])).
1.34/0.66	thf(f314,plain,(
1.34/0.66	  ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ sK39)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) & ($true = ((mem @ sK39) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)))),
1.34/0.66	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK39])],[f178,f313])).
1.34/0.66	thf(f313,plain,(
1.34/0.66	  ? [X0] : (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X0)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) & ($true = ((mem @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)))) => (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ sK39)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) & ($true = ((mem @ sK39) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))))),
1.34/0.66	  introduced(choice_axiom,[])).
1.34/0.66	thf(f178,plain,(
1.34/0.66	  ? [X0] : (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X0)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) & ($true = ((mem @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))))),
1.34/0.66	  inference(fool_elimination,[],[f177])).
1.34/0.66	thf(f177,plain,(
1.34/0.66	  ? [X0] : ((p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X0)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) & ((mem @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)))),
1.34/0.66	  inference(rectify,[],[f20])).
1.34/0.66	thf(f20,axiom,(
1.34/0.66	  ? [X17] : ((p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X17)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) & ((mem @ X17) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)))),
1.34/0.66	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eutil__prob_2ENUM__2D__BIJ)).
1.34/0.66	thf(f744,plain,(
1.34/0.66	  ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool))) | ($true != ((mem @ sK39) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)))),
1.34/0.66	  inference(trivial_inequality_removal,[],[f737])).
1.34/0.66	thf(f737,plain,(
1.34/0.66	  ($true != $true) | ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool))) | ($true != ((mem @ sK39) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)))),
1.34/0.66	  inference(superposition,[],[f736,f472])).
1.34/0.66	thf(f472,plain,(
1.34/0.66	  ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ sK39)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))),
1.34/0.66	  inference(cnf_transformation,[],[f314])).
1.34/0.66	thf(f736,plain,(
1.34/0.66	  ( ! [X0 : $i] : (($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X0)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool))) | ($true != ((mem @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)))) )),
1.34/0.66	  inference(trivial_inequality_removal,[],[f735])).
1.34/0.66	thf(f735,plain,(
1.34/0.66	  ( ! [X0 : $i] : (($true != $true) | ($true != ((mem @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))) | ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X0)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))) )),
1.34/0.66	  inference(forward_demodulation,[],[f734,f471])).
1.34/0.66	thf(f734,plain,(
1.34/0.66	  ( ! [X0 : $i] : (($true != ((mem @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))) | ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X0)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ sK39) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)))) )),
1.34/0.66	  inference(trivial_inequality_removal,[],[f727])).
1.34/0.66	thf(f727,plain,(
1.34/0.66	  ( ! [X0 : $i] : (($true != $true) | ($true != ((mem @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))) | ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X0)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ sK39) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)))) )),
1.34/0.66	  inference(superposition,[],[f723,f472])).
1.34/0.66	thf(f723,plain,(
1.34/0.66	  ( ! [X0 : $i,X1 : $i] : (($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X1)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))) | ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X0)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ X1) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)))) )),
1.34/0.66	  inference(trivial_inequality_removal,[],[f722])).
1.34/0.66	thf(f722,plain,(
1.34/0.66	  ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X0)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))) | ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X1)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ X1) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)))) )),
1.34/0.66	  inference(forward_demodulation,[],[f721,f474])).
1.34/0.66	thf(f721,plain,(
1.34/0.66	  ( ! [X0 : $i,X1 : $i] : (($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X0)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))) | ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X1)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ X1) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))) | ($true != ((mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ((arr @ ty_2Enum_2Enum) @ bool)))) )),
1.34/0.66	  inference(trivial_inequality_removal,[],[f720])).
1.34/0.66	thf(f720,plain,(
1.34/0.66	  ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X0)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))) | ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X1)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ X1) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))) | ($true != ((mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ((arr @ ty_2Enum_2Enum) @ bool)))) )),
1.34/0.66	  inference(duplicate_literal_removal,[],[f719])).
1.34/0.66	thf(f719,plain,(
1.34/0.66	  ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X0)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))) | ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X1)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ X1) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))) | ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool))) | ($true != ((mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ((arr @ ty_2Enum_2Enum) @ bool)))) )),
1.34/0.66	  inference(superposition,[],[f716,f477])).
1.34/0.66	thf(f477,plain,(
1.34/0.66	  ( ! [X2 : $i,X0 : del,X5 : $i,X3 : $i,X1 : del] : (($true = ((mem @ ((((sK40 @ X3) @ X2) @ X1) @ X0)) @ ((arr @ X0) @ X1))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X1) @ X0)) @ X5)) @ X3)) @ X2))) | ($true != ((mem @ X5) @ ((arr @ X1) @ X0))) | ($true != ((mem @ X3) @ ((arr @ X1) @ bool))) | ($true != ((mem @ X2) @ ((arr @ X0) @ bool)))) )),
1.34/0.66	  inference(cnf_transformation,[],[f319])).
1.34/0.66	thf(f319,plain,(
1.34/0.66	  ! [X0 : del,X1 : del,X2] : (! [X3] : ((((($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X0) @ X1)) @ ((((sK40 @ X3) @ X2) @ X1) @ X0))) @ X2)) @ X3))) & ($true = ((mem @ ((((sK40 @ X3) @ X2) @ X1) @ X0)) @ ((arr @ X0) @ X1)))) | ! [X5] : (($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X1) @ X0)) @ X5)) @ X3)) @ X2))) | ($true != ((mem @ X5) @ ((arr @ X1) @ X0))))) & ((($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X1) @ X0)) @ ((((sK41 @ X3) @ X2) @ X1) @ X0))) @ X3)) @ X2))) & ($true = ((mem @ ((((sK41 @ X3) @ X2) @ X1) @ X0)) @ ((arr @ X1) @ X0)))) | ! [X7] : (($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X0) @ X1)) @ X7)) @ X2)) @ X3))) | ($true != ((mem @ X7) @ ((arr @ X0) @ X1)))))) | ($true != ((mem @ X3) @ ((arr @ X1) @ bool)))) | ($true != ((mem @ X2) @ ((arr @ X0) @ bool))))),
1.34/0.66	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41])],[f316,f318,f317])).
1.34/0.66	thf(f317,plain,(
1.34/0.66	  ! [X0 : del,X1 : del,X2,X3] : (? [X4] : (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X0) @ X1)) @ X4)) @ X2)) @ X3))) & (((mem @ X4) @ ((arr @ X0) @ X1)) = $true)) => (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X0) @ X1)) @ ((((sK40 @ X3) @ X2) @ X1) @ X0))) @ X2)) @ X3))) & ($true = ((mem @ ((((sK40 @ X3) @ X2) @ X1) @ X0)) @ ((arr @ X0) @ X1)))))),
1.34/0.66	  introduced(choice_axiom,[])).
1.34/0.66	thf(f318,plain,(
1.34/0.66	  ! [X0 : del,X1 : del,X2,X3] : (? [X6] : (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X1) @ X0)) @ X6)) @ X3)) @ X2))) & ($true = ((mem @ X6) @ ((arr @ X1) @ X0)))) => (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X1) @ X0)) @ ((((sK41 @ X3) @ X2) @ X1) @ X0))) @ X3)) @ X2))) & ($true = ((mem @ ((((sK41 @ X3) @ X2) @ X1) @ X0)) @ ((arr @ X1) @ X0)))))),
1.34/0.66	  introduced(choice_axiom,[])).
1.34/0.66	thf(f316,plain,(
1.34/0.66	  ! [X0 : del,X1 : del,X2] : (! [X3] : (((? [X4] : (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X0) @ X1)) @ X4)) @ X2)) @ X3))) & (((mem @ X4) @ ((arr @ X0) @ X1)) = $true)) | ! [X5] : (($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X1) @ X0)) @ X5)) @ X3)) @ X2))) | ($true != ((mem @ X5) @ ((arr @ X1) @ X0))))) & (? [X6] : (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X1) @ X0)) @ X6)) @ X3)) @ X2))) & ($true = ((mem @ X6) @ ((arr @ X1) @ X0)))) | ! [X7] : (($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X0) @ X1)) @ X7)) @ X2)) @ X3))) | ($true != ((mem @ X7) @ ((arr @ X0) @ X1)))))) | ($true != ((mem @ X3) @ ((arr @ X1) @ bool)))) | ($true != ((mem @ X2) @ ((arr @ X0) @ bool))))),
1.34/0.66	  inference(rectify,[],[f315])).
1.34/0.66	thf(f315,plain,(
1.34/0.66	  ! [X0 : del,X1 : del,X2] : (! [X3] : (((? [X4] : (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X0) @ X1)) @ X4)) @ X2)) @ X3))) & (((mem @ X4) @ ((arr @ X0) @ X1)) = $true)) | ! [X5] : (($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X1) @ X0)) @ X5)) @ X3)) @ X2))) | ($true != ((mem @ X5) @ ((arr @ X1) @ X0))))) & (? [X5] : (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X1) @ X0)) @ X5)) @ X3)) @ X2))) & ($true = ((mem @ X5) @ ((arr @ X1) @ X0)))) | ! [X4] : (($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X0) @ X1)) @ X4)) @ X2)) @ X3))) | (((mem @ X4) @ ((arr @ X0) @ X1)) != $true)))) | ($true != ((mem @ X3) @ ((arr @ X1) @ bool)))) | ($true != ((mem @ X2) @ ((arr @ X0) @ bool))))),
1.34/0.66	  inference(nnf_transformation,[],[f219])).
1.34/0.66	thf(f219,plain,(
1.34/0.66	  ! [X0 : del,X1 : del,X2] : (! [X3] : ((? [X4] : (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X0) @ X1)) @ X4)) @ X2)) @ X3))) & (((mem @ X4) @ ((arr @ X0) @ X1)) = $true)) <=> ? [X5] : (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X1) @ X0)) @ X5)) @ X3)) @ X2))) & ($true = ((mem @ X5) @ ((arr @ X1) @ X0))))) | ($true != ((mem @ X3) @ ((arr @ X1) @ bool)))) | ($true != ((mem @ X2) @ ((arr @ X0) @ bool))))),
1.34/0.66	  inference(ennf_transformation,[],[f170])).
1.34/0.66	thf(f170,plain,(
1.34/0.66	  ! [X0 : del,X1 : del,X2] : (($true = ((mem @ X2) @ ((arr @ X0) @ bool))) => ! [X3] : (($true = ((mem @ X3) @ ((arr @ X1) @ bool))) => (? [X4] : (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X0) @ X1)) @ X4)) @ X2)) @ X3))) & (((mem @ X4) @ ((arr @ X0) @ X1)) = $true)) <=> ? [X5] : (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X1) @ X0)) @ X5)) @ X3)) @ X2))) & ($true = ((mem @ X5) @ ((arr @ X1) @ X0)))))))),
1.34/0.66	  inference(fool_elimination,[],[f169])).
1.34/0.66	thf(f169,plain,(
1.34/0.66	  ! [X0 : del,X1 : del,X2] : (((mem @ X2) @ ((arr @ X0) @ bool)) => ! [X3] : (((mem @ X3) @ ((arr @ X1) @ bool)) => (? [X4] : ((p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X0) @ X1)) @ X4)) @ X2)) @ X3)) & ((mem @ X4) @ ((arr @ X0) @ X1))) <=> ? [X5] : ((p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X1) @ X0)) @ X5)) @ X3)) @ X2)) & ((mem @ X5) @ ((arr @ X1) @ X0))))))),
1.34/0.66	  inference(rectify,[],[f49])).
1.34/0.66	thf(f49,axiom,(
1.34/0.66	  ! [X7 : del,X22 : del,X23] : (((mem @ X23) @ ((arr @ X7) @ bool)) => ! [X24] : (((mem @ X24) @ ((arr @ X22) @ bool)) => (? [X25] : ((p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X7) @ X22)) @ X25)) @ X23)) @ X24)) & ((mem @ X25) @ ((arr @ X7) @ X22))) <=> ? [X26] : ((p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X22) @ X7)) @ X26)) @ X24)) @ X23)) & ((mem @ X26) @ ((arr @ X22) @ X7))))))),
1.34/0.66	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EBIJ__SYM)).
1.34/0.66	thf(f716,plain,(
1.34/0.66	  ( ! [X0 : $i] : (($true != ((mem @ ((((sK40 @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ ((arr @ ty_2Enum_2Enum) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X0)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))) | ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool)))) )),
1.34/0.66	  inference(trivial_inequality_removal,[],[f715])).
1.34/0.66	thf(f715,plain,(
1.34/0.66	  ( ! [X0 : $i] : (($true != $true) | ($true != ((mem @ ((((sK40 @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ ((arr @ ty_2Enum_2Enum) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X0)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))) | ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool)))) )),
1.34/0.66	  inference(forward_demodulation,[],[f714,f474])).
1.34/0.66	thf(f714,plain,(
1.34/0.66	  ( ! [X0 : $i] : (($true != ((mem @ ((((sK40 @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ ((arr @ ty_2Enum_2Enum) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X0)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))) | ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool))) | ($true != ((mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ((arr @ ty_2Enum_2Enum) @ bool)))) )),
1.34/0.66	  inference(trivial_inequality_removal,[],[f711])).
1.34/0.66	thf(f711,plain,(
1.34/0.66	  ( ! [X0 : $i] : (($true != $true) | ($true != ((mem @ ((((sK40 @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ ((arr @ ty_2Enum_2Enum) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum)) @ X0)) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) | ($true != ((mem @ X0) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ ty_2Enum_2Enum))) | ($true != ((mem @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((arr @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ bool))) | ($true != ((mem @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ ((arr @ ty_2Enum_2Enum) @ bool)))) )),
1.34/0.66	  inference(superposition,[],[f470,f478])).
1.34/0.66	thf(f478,plain,(
1.34/0.66	  ( ! [X2 : $i,X0 : del,X5 : $i,X3 : $i,X1 : del] : (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X0) @ X1)) @ ((((sK40 @ X3) @ X2) @ X1) @ X0))) @ X2)) @ X3))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ X1) @ X0)) @ X5)) @ X3)) @ X2))) | ($true != ((mem @ X5) @ ((arr @ X1) @ X0))) | ($true != ((mem @ X3) @ ((arr @ X1) @ bool))) | ($true != ((mem @ X2) @ ((arr @ X0) @ bool)))) )),
1.34/0.66	  inference(cnf_transformation,[],[f319])).
1.34/0.66	thf(f470,plain,(
1.34/0.66	  ( ! [X0 : $i] : (($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ty_2Enum_2Enum) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) @ X0)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))) | ($true != ((mem @ X0) @ ((arr @ ty_2Enum_2Enum) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))))) )),
1.34/0.66	  inference(cnf_transformation,[],[f218])).
1.34/0.66	thf(f218,plain,(
1.34/0.66	  ! [X0] : (($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ty_2Enum_2Enum) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) @ X0)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))) | ($true != ((mem @ X0) @ ((arr @ ty_2Enum_2Enum) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)))))),
1.34/0.66	  inference(ennf_transformation,[],[f70])).
1.34/0.66	thf(f70,plain,(
1.34/0.66	  ~? [X0] : (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ty_2Enum_2Enum) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) @ X0)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))) & ($true = ((mem @ X0) @ ((arr @ ty_2Enum_2Enum) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)))))),
1.34/0.66	  inference(fool_elimination,[],[f69])).
1.34/0.66	thf(f69,plain,(
1.34/0.66	  ~? [X0] : ((p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ty_2Enum_2Enum) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) @ X0)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) & ((mem @ X0) @ ((arr @ ty_2Enum_2Enum) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))))),
1.34/0.66	  inference(rectify,[],[f22])).
1.34/0.66	thf(f22,negated_conjecture,(
1.34/0.66	  ~? [X17] : ((p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ty_2Enum_2Enum) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) @ X17)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) & ((mem @ X17) @ ((arr @ ty_2Enum_2Enum) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))))),
1.34/0.66	  inference(negated_conjecture,[],[f21])).
1.34/0.66	thf(f21,conjecture,(
1.34/0.66	  ? [X17] : ((p @ ((ap @ ((ap @ ((ap @ ((c_2Epred__set_2EBIJ @ ty_2Enum_2Enum) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))) @ X17)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ ((ap @ ((ap @ ((c_2Epred__set_2ECROSS @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) & ((mem @ X17) @ ((arr @ ty_2Enum_2Enum) @ ((ty_2Epair_2Eprod @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))))),
1.34/0.66	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eutil__prob_2ENUM__2D__BIJ__INV)).
1.34/0.66	% SZS output end Proof for theBenchmark
1.34/0.66	% (14676)------------------------------
1.34/0.66	% (14676)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
1.34/0.66	% (14676)Termination reason: Refutation
1.34/0.66	
1.34/0.66	% (14676)Memory used [KB]: 6908
1.34/0.66	% (14676)Time elapsed: 0.135 s
1.34/0.66	% (14676)------------------------------
1.34/0.66	% (14676)------------------------------
1.34/0.66	% (14661)Success in time 0.194 s
1.34/0.67	EOF