0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command    : run_vampire %s %d
0.12/0.33	% Computer   : n026.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 1200
0.12/0.33	% WCLimit    : 120
0.12/0.33	% DateTime   : Tue Jul 13 13:12:29 EDT 2021
0.12/0.33	% CPUTime    : 
0.12/0.33	This is a THF_ problem
0.12/0.34	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.12/0.34	Running in auto input_syntax mode. Trying TPTP
0.12/0.38	% (12660)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
0.12/0.38	% (12677)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
0.12/0.39	% (12669)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
0.12/0.39	% (12676)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
0.20/0.39	% (12664)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
0.20/0.40	% (12663)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
0.20/0.40	% (12666)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
0.20/0.40	% (12662)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
0.20/0.40	% (12659)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
0.20/0.40	% (12665)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
0.20/0.40	% (12668)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
0.20/0.40	% (12656)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
0.20/0.40	% (12660)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.40	% (12661)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
0.20/0.41	% (12683)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
0.20/0.41	% (12654)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
0.20/0.42	% (12658)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
0.20/0.42	% (12655)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
0.20/0.42	% (12657)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
0.20/0.42	% (12682)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
0.20/0.43	% (12678)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
0.20/0.43	% (12675)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
0.20/0.43	% (12679)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
0.20/0.43	% (12681)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
0.20/0.43	% (12674)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
0.20/0.43	% (12680)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
0.20/0.43	% (12676)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.44	% (12671)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
0.20/0.44	% (12670)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
0.20/0.44	% (12673)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
0.20/0.44	% (12672)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
0.20/0.44	% (12677)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.44	% (12667)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
0.20/0.45	% (12661)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.48	% (12669)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.48	% (12663)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.48	% (12656)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.48	% (12679)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.50	% (12670)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.50	% (12671)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.50	% (12658)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.50	% (12678)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.50	% (12663)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.50	% (12662)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.50	% (12667)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
1.27/0.52	% (12673)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.40/0.55	% (12670)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
1.40/0.58	% (12677)First to succeed.
1.40/0.60	% (12677)Refutation found. Thanks to Tanya!
1.40/0.60	% SZS status Theorem for theBenchmark
1.40/0.60	% SZS output start Proof for theBenchmark
1.40/0.60	thf(type_def_6, type, set_HF_Mirabelle_hf: $tType).
1.40/0.60	thf(type_def_7, type, hF_Mirabelle_hf: $tType).
1.40/0.60	thf(type_def_8, type, set_nat: $tType).
1.40/0.60	thf(type_def_9, type, nat: $tType).
1.40/0.60	thf(type_def_10, type, >: ($tType * $tType) > $tType).
1.40/0.60	thf(func_def_11, type, plus_plus_nat: nat > nat > nat).
1.40/0.60	thf(func_def_12, type, zero_z189798548lle_hf: hF_Mirabelle_hf).
1.40/0.60	thf(func_def_13, type, zero_zero_nat: nat).
1.40/0.60	thf(func_def_14, type, hF_Mir818139703ollect: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_15, type, hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_16, type, hF_Mirabelle_HInter: hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_17, type, hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_18, type, hF_Mir1248913145eplace: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_19, type, hF_Mirabelle_RepFun: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_20, type, hF_Mirabelle_Replace: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_21, type, hF_Mirabelle_hcard: hF_Mirabelle_hf > nat).
1.40/0.60	thf(func_def_22, type, hF_Mirabelle_Abs_hf: nat > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_23, type, hF_Mirabelle_Rep_hf: hF_Mirabelle_hf > nat).
1.40/0.60	thf(func_def_24, type, hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf).
1.40/0.60	thf(func_def_25, type, hF_Mirabelle_hfst: hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_26, type, hF_Mir199975595nction: hF_Mirabelle_hf > $o).
1.40/0.60	thf(func_def_27, type, hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_28, type, hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o).
1.40/0.60	thf(func_def_29, type, hF_Mirabelle_hpair: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_30, type, hF_Mir434065167lation: hF_Mirabelle_hf > $o).
1.40/0.60	thf(func_def_31, type, hF_Mir1653039215strict: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_32, type, hF_Mirabelle_hsnd: hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_33, type, hF_Mir137170979_hpair: hF_Mirabelle_hf > $o).
1.40/0.60	thf(func_def_34, type, inf_in307783154e_hf_o: (hF_Mirabelle_hf > $o) > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > $o).
1.40/0.60	thf(func_def_35, type, inf_inf_nat_o: (nat > $o) > (nat > $o) > nat > $o).
1.40/0.60	thf(func_def_36, type, inf_in956532509lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_37, type, inf_in923488851lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf).
1.40/0.60	thf(func_def_38, type, inf_inf_set_nat: set_nat > set_nat > set_nat).
1.40/0.60	thf(func_def_39, type, sup_su1199008216e_hf_o: (hF_Mirabelle_hf > $o) > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > $o).
1.40/0.60	thf(func_def_40, type, sup_sup_nat_o: (nat > $o) > (nat > $o) > nat > $o).
1.40/0.60	thf(func_def_41, type, sup_su638957495lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_42, type, sup_su1790843629lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf).
1.40/0.60	thf(func_def_43, type, sup_sup_set_nat: set_nat > set_nat > set_nat).
1.40/0.60	thf(func_def_44, type, suc: nat > nat).
1.40/0.60	thf(func_def_45, type, top_to22270292e_hf_o: hF_Mirabelle_hf > $o).
1.40/0.60	thf(func_def_46, type, top_top_nat_o: nat > $o).
1.40/0.60	thf(func_def_48, type, top_to489427057lle_hf: set_HF_Mirabelle_hf).
1.40/0.60	thf(func_def_49, type, top_top_set_nat: set_nat).
1.40/0.60	thf(func_def_50, type, collec2046588256lle_hf: (hF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf).
1.40/0.60	thf(func_def_51, type, collect_nat: (nat > $o) > set_nat).
1.40/0.60	thf(func_def_52, type, insert9649339lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf).
1.40/0.60	thf(func_def_53, type, insert_nat: nat > set_nat > set_nat).
1.40/0.60	thf(func_def_54, type, type_d1794767497hf_nat: (hF_Mirabelle_hf > nat) > (nat > hF_Mirabelle_hf) > set_nat > $o).
1.40/0.60	thf(func_def_55, type, member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o).
1.40/0.60	thf(func_def_56, type, member_nat: nat > set_nat > $o).
1.40/0.60	thf(func_def_57, type, r: hF_Mirabelle_hf).
1.40/0.60	thf(func_def_58, type, x: hF_Mirabelle_hf).
1.40/0.60	thf(func_def_60, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
1.40/0.60	thf(func_def_63, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
1.40/0.60	thf(func_def_64, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)).
1.40/0.60	thf(func_def_65, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
1.40/0.60	thf(func_def_66, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
1.40/0.60	thf(func_def_67, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
1.40/0.60	thf(func_def_68, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
1.40/0.60	thf(func_def_69, type, vIMP: $o > $o > $o).
1.40/0.60	thf(func_def_70, type, vAND: $o > $o > $o).
1.40/0.60	thf(func_def_71, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
1.40/0.60	thf(func_def_72, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
1.40/0.60	thf(func_def_73, type, vNOT: $o > $o).
1.40/0.60	thf(func_def_74, type, vOR: $o > $o > $o).
1.40/0.60	thf(func_def_75, type, sP0: (hF_Mirabelle_hf > $o) > $o).
1.40/0.60	thf(func_def_76, type, sP1: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > $o).
1.40/0.60	thf(func_def_77, type, sK2: nat).
1.40/0.60	thf(func_def_78, type, sK3: set_HF_Mirabelle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf).
1.40/0.60	thf(func_def_79, type, sK4: set_HF_Mirabelle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf).
1.40/0.60	thf(func_def_80, type, sK5: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_81, type, sK6: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_82, type, sK7: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_83, type, sK8: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_84, type, sK9: set_nat > nat).
1.40/0.60	thf(func_def_85, type, sK10: hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_86, type, sK11: hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_87, type, sK12: hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_88, type, sK13: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_89, type, sK14: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_91, type, sK16: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_92, type, sK17: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf).
1.40/0.60	thf(func_def_93, type, sK18: hF_Mirabelle_hf).
1.40/0.60	thf(func_def_94, type, sK19: hF_Mirabelle_hf).
1.40/0.60	thf(func_def_95, type, sK20: hF_Mirabelle_hf).
1.40/0.60	thf(f1552,plain,(
1.40/0.60	  $false),
1.40/0.60	  inference(global_subsumption,[],[f957,f1551])).
1.40/0.60	thf(f1551,plain,(
1.40/0.60	  (sK18 = sK20)),
1.40/0.60	  inference(trivial_inequality_removal,[],[f1546])).
1.40/0.60	thf(f1546,plain,(
1.40/0.60	  ($true = $false) | (sK18 = sK20)),
1.40/0.60	  inference(superposition,[],[f1510,f1494])).
1.40/0.60	thf(f1494,plain,(
1.40/0.60	  ($true = ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ sK19) @ sK18)) @ r))),
1.40/0.60	  inference(trivial_inequality_removal,[],[f1481])).
1.40/0.60	thf(f1481,plain,(
1.40/0.60	  ($true = $false) | ($true = ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ sK19) @ sK18)) @ r))),
1.40/0.60	  inference(superposition,[],[f915,f952])).
1.40/0.60	thf(f952,plain,(
1.40/0.60	  ($true = ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ sK19) @ sK18)) @ ((hF_Mir1653039215strict @ r) @ x)))),
1.40/0.60	  inference(binary_proxy_clausification,[],[f950])).
1.40/0.60	thf(f950,plain,(
1.40/0.60	  ($false = ((vIMP @ ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ sK19) @ sK18)) @ ((hF_Mir1653039215strict @ r) @ x))) @ (vPI(hF_Mirabelle_hf) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ ((bCOMB @ hF_Mirabelle_hmem) @ (hF_Mirabelle_hpair @ sK19))) @ ((hF_Mir1653039215strict @ r) @ x)))) @ (vEQ(hF_Mirabelle_hf) @ sK18)))))),
1.40/0.60	  inference(combinator_demodulation,[],[f949])).
1.40/0.60	thf(f949,plain,(
1.40/0.60	  ($false = (((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ ((bCOMB @ hF_Mirabelle_hmem) @ ((cCOMB @ hF_Mirabelle_hpair) @ sK18))) @ ((hF_Mir1653039215strict @ r) @ x)))) @ ((bCOMB @ vPI(hF_Mirabelle_hf)) @ ((cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ hF_Mirabelle_hpair))) @ ((hF_Mir1653039215strict @ r) @ x))))) @ (vEQ(hF_Mirabelle_hf) @ sK18)))) @ sK19))),
1.40/0.60	  inference(sigma_clausification,[],[f948])).
1.40/0.60	thf(f948,plain,(
1.40/0.60	  ($false = (vPI(hF_Mirabelle_hf) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ ((bCOMB @ hF_Mirabelle_hmem) @ ((cCOMB @ hF_Mirabelle_hpair) @ sK18))) @ ((hF_Mir1653039215strict @ r) @ x)))) @ ((bCOMB @ vPI(hF_Mirabelle_hf)) @ ((cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ hF_Mirabelle_hpair))) @ ((hF_Mir1653039215strict @ r) @ x))))) @ (vEQ(hF_Mirabelle_hf) @ sK18))))))),
1.40/0.60	  inference(combinator_demodulation,[],[f947])).
1.40/0.60	thf(f947,plain,(
1.40/0.60	  ($false = (((bCOMB @ vPI(hF_Mirabelle_hf)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ (cCOMB @ hF_Mirabelle_hpair)))) @ ((hF_Mir1653039215strict @ r) @ x))))) @ ((bCOMB @ (bCOMB @ vPI(hF_Mirabelle_hf))) @ ((bCOMB @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ hF_Mirabelle_hpair))) @ ((hF_Mir1653039215strict @ r) @ x)))))) @ vEQ(hF_Mirabelle_hf))))) @ sK18))),
1.40/0.60	  inference(sigma_clausification,[],[f946])).
1.40/0.60	thf(f946,plain,(
1.40/0.60	  ($true != (vPI(hF_Mirabelle_hf) @ ((bCOMB @ vPI(hF_Mirabelle_hf)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ (cCOMB @ hF_Mirabelle_hpair)))) @ ((hF_Mir1653039215strict @ r) @ x))))) @ ((bCOMB @ (bCOMB @ vPI(hF_Mirabelle_hf))) @ ((bCOMB @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ hF_Mirabelle_hpair))) @ ((hF_Mir1653039215strict @ r) @ x)))))) @ vEQ(hF_Mirabelle_hf)))))))),
1.40/0.60	  inference(combinator_demodulation,[],[f896])).
1.40/0.60	thf(f896,plain,(
1.40/0.60	  ($true != (((bCOMB @ vPI(hF_Mirabelle_hf)) @ ((bCOMB @ (bCOMB @ vPI(hF_Mirabelle_hf))) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ (cCOMB @ hF_Mirabelle_hpair)))))))) @ ((bCOMB @ (bCOMB @ (bCOMB @ vPI(hF_Mirabelle_hf)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ hF_Mirabelle_hpair)))))))) @ vEQ(hF_Mirabelle_hf)))))) @ ((hF_Mir1653039215strict @ r) @ x)))),
1.40/0.60	  inference(definition_unfolding,[],[f823,f892])).
1.40/0.60	thf(f892,plain,(
1.40/0.60	  (hF_Mir199975595nction = ((bCOMB @ vPI(hF_Mirabelle_hf)) @ ((bCOMB @ (bCOMB @ vPI(hF_Mirabelle_hf))) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ (cCOMB @ hF_Mirabelle_hpair)))))))) @ ((bCOMB @ (bCOMB @ (bCOMB @ vPI(hF_Mirabelle_hf)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ hF_Mirabelle_hpair)))))))) @ vEQ(hF_Mirabelle_hf)))))))),
1.40/0.60	  inference(cnf_transformation,[],[f368])).
1.40/0.60	thf(f368,plain,(
1.40/0.60	  (hF_Mir199975595nction = ((bCOMB @ vPI(hF_Mirabelle_hf)) @ ((bCOMB @ (bCOMB @ vPI(hF_Mirabelle_hf))) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ (cCOMB @ hF_Mirabelle_hpair)))))))) @ ((bCOMB @ (bCOMB @ (bCOMB @ vPI(hF_Mirabelle_hf)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ hF_Mirabelle_hpair)))))))) @ vEQ(hF_Mirabelle_hf)))))))),
1.40/0.60	  inference(fool_elimination,[],[f367])).
1.40/0.60	thf(f367,plain,(
1.40/0.60	  (hF_Mir199975595nction = (^[X0 : hF_Mirabelle_hf] : (! [X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ X1) @ X2)) @ X0) => ! [X3 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ X1) @ X3)) @ X0) => (X2 = X3))))))),
1.40/0.60	  inference(rectify,[],[f1])).
1.40/0.60	thf(f1,axiom,(
1.40/0.60	  (hF_Mir199975595nction = (^[X0 : hF_Mirabelle_hf] : (! [X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ X1) @ X2)) @ X0) => ! [X3 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ X1) @ X3)) @ X0) => (X2 = X3))))))),
1.40/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_hfunction__def)).
1.40/0.60	thf(f823,plain,(
1.40/0.60	  ((hF_Mir199975595nction @ ((hF_Mir1653039215strict @ r) @ x)) != $true)),
1.40/0.60	  inference(cnf_transformation,[],[f725])).
1.40/0.60	thf(f725,plain,(
1.40/0.60	  ((hF_Mir199975595nction @ ((hF_Mir1653039215strict @ r) @ x)) != $true)),
1.40/0.60	  inference(flattening,[],[f360])).
1.40/0.60	thf(f360,plain,(
1.40/0.60	  ~((hF_Mir199975595nction @ ((hF_Mir1653039215strict @ r) @ x)) = $true)),
1.40/0.60	  inference(fool_elimination,[],[f359])).
1.40/0.60	thf(f359,plain,(
1.40/0.60	  ~(hF_Mir199975595nction @ ((hF_Mir1653039215strict @ r) @ x))),
1.40/0.60	  inference(rectify,[],[f52])).
1.40/0.60	thf(f52,negated_conjecture,(
1.40/0.60	  ~(hF_Mir199975595nction @ ((hF_Mir1653039215strict @ r) @ x))),
1.40/0.60	  inference(negated_conjecture,[],[f51])).
1.40/0.60	thf(f51,conjecture,(
1.40/0.60	  (hF_Mir199975595nction @ ((hF_Mir1653039215strict @ r) @ x))),
1.40/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
1.40/0.60	thf(f915,plain,(
1.40/0.60	  ( ! [X2 : hF_Mirabelle_hf,X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = ((hF_Mirabelle_hmem @ X0) @ ((hF_Mir1653039215strict @ X1) @ X2))) | ($true = ((hF_Mirabelle_hmem @ X0) @ X1))) )),
1.40/0.60	  inference(binary_proxy_clausification,[],[f913])).
1.40/0.60	thf(f913,plain,(
1.40/0.60	  ( ! [X2 : hF_Mirabelle_hf,X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = ((hF_Mirabelle_hmem @ X0) @ ((hF_Mir1653039215strict @ X1) @ X2))) | ($true = ((vAND @ ((hF_Mirabelle_hmem @ X0) @ X1)) @ (vSIGMA(hF_Mirabelle_hf) @ ((bCOMB @ vSIGMA(hF_Mirabelle_hf)) @ ((cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ vEQ(hF_Mirabelle_hf))) @ (cCOMB @ hF_Mirabelle_hpair)))) @ X0)))) @ ((cCOMB @ hF_Mirabelle_hmem) @ X2))))))) )),
1.40/0.60	  inference(binary_proxy_clausification,[],[f890])).
1.40/0.60	thf(f890,plain,(
1.40/0.60	  ( ! [X2 : hF_Mirabelle_hf,X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : ((((hF_Mirabelle_hmem @ X0) @ ((hF_Mir1653039215strict @ X1) @ X2)) = ((vAND @ ((hF_Mirabelle_hmem @ X0) @ X1)) @ (vSIGMA(hF_Mirabelle_hf) @ ((bCOMB @ vSIGMA(hF_Mirabelle_hf)) @ ((cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ vEQ(hF_Mirabelle_hf))) @ (cCOMB @ hF_Mirabelle_hpair)))) @ X0)))) @ ((cCOMB @ hF_Mirabelle_hmem) @ X2))))))) )),
1.40/0.60	  inference(cnf_transformation,[],[f590])).
1.40/0.60	thf(f590,plain,(
1.40/0.60	  ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0) @ ((hF_Mir1653039215strict @ X1) @ X2)) = ((vAND @ ((hF_Mirabelle_hmem @ X0) @ X1)) @ (vSIGMA(hF_Mirabelle_hf) @ ((bCOMB @ vSIGMA(hF_Mirabelle_hf)) @ ((cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ vEQ(hF_Mirabelle_hf))) @ (cCOMB @ hF_Mirabelle_hpair)))) @ X0)))) @ ((cCOMB @ hF_Mirabelle_hmem) @ X2))))))),
1.40/0.60	  inference(fool_elimination,[],[f589])).
1.40/0.60	thf(f589,plain,(
1.40/0.60	  ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0) @ ((hF_Mir1653039215strict @ X1) @ X2)) = ? [X3 : hF_Mirabelle_hf,X4 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X3) @ X2) & (((hF_Mirabelle_hpair @ X3) @ X4) = X0)) & ((hF_Mirabelle_hmem @ X0) @ X1))),
1.40/0.60	  inference(rectify,[],[f110])).
1.40/0.60	thf(f110,axiom,(
1.40/0.60	  ! [X11 : hF_Mirabelle_hf,X35 : hF_Mirabelle_hf,X9 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X11) @ ((hF_Mir1653039215strict @ X35) @ X9)) = ? [X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X1) @ X9) & (((hF_Mirabelle_hpair @ X1) @ X2) = X11)) & ((hF_Mirabelle_hmem @ X11) @ X35))),
1.40/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_hrestrict__iff)).
1.40/0.60	thf(f1510,plain,(
1.40/0.60	  ( ! [X0 : hF_Mirabelle_hf] : (($false = ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ sK19) @ X0)) @ r)) | (sK20 = X0)) )),
1.40/0.60	  inference(trivial_inequality_removal,[],[f1505])).
1.40/0.60	thf(f1505,plain,(
1.40/0.60	  ( ! [X0 : hF_Mirabelle_hf] : (($true = $false) | ($false = ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ sK19) @ X0)) @ r)) | (sK20 = X0)) )),
1.40/0.60	  inference(superposition,[],[f1493,f945])).
1.40/0.60	thf(f945,plain,(
1.40/0.60	  ( ! [X2 : hF_Mirabelle_hf,X3 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ X2) @ X3)) @ r)) | ($false = ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ X2) @ X1)) @ r)) | (X1 = X3)) )),
1.40/0.60	  inference(equality_proxy_clausification,[],[f944])).
1.40/0.60	thf(f944,plain,(
1.40/0.60	  ( ! [X2 : hF_Mirabelle_hf,X3 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ X2) @ X1)) @ r)) | ($false = ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ X2) @ X3)) @ r)) | ($true = ((vEQ(hF_Mirabelle_hf) @ X1) @ X3))) )),
1.40/0.60	  inference(binary_proxy_clausification,[],[f943])).
1.40/0.60	thf(f943,plain,(
1.40/0.60	  ( ! [X2 : hF_Mirabelle_hf,X3 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ X2) @ X1)) @ r)) | ($true = ((vIMP @ ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ X2) @ X3)) @ r)) @ ((vEQ(hF_Mirabelle_hf) @ X1) @ X3)))) )),
1.40/0.60	  inference(combinator_demodulation,[],[f942])).
1.40/0.60	thf(f942,plain,(
1.40/0.60	  ( ! [X2 : hF_Mirabelle_hf,X3 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ X2) @ X1)) @ r)) | ($true = (((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ ((bCOMB @ hF_Mirabelle_hmem) @ (hF_Mirabelle_hpair @ X2))) @ r))) @ (vEQ(hF_Mirabelle_hf) @ X1)) @ X3))) )),
1.40/0.60	  inference(pi_clausification,[],[f941])).
1.40/0.60	thf(f941,plain,(
1.40/0.60	  ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ X2) @ X1)) @ r)) | ($true = (vPI(hF_Mirabelle_hf) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ ((bCOMB @ hF_Mirabelle_hmem) @ (hF_Mirabelle_hpair @ X2))) @ r))) @ (vEQ(hF_Mirabelle_hf) @ X1))))) )),
1.40/0.60	  inference(binary_proxy_clausification,[],[f940])).
1.40/0.60	thf(f940,plain,(
1.40/0.60	  ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($true = ((vIMP @ ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ X2) @ X1)) @ r)) @ (vPI(hF_Mirabelle_hf) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ ((bCOMB @ hF_Mirabelle_hmem) @ (hF_Mirabelle_hpair @ X2))) @ r))) @ (vEQ(hF_Mirabelle_hf) @ X1)))))) )),
1.40/0.60	  inference(combinator_demodulation,[],[f939])).
1.40/0.60	thf(f939,plain,(
1.40/0.60	  ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($true = (((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ ((bCOMB @ hF_Mirabelle_hmem) @ ((cCOMB @ hF_Mirabelle_hpair) @ X1))) @ r))) @ ((bCOMB @ vPI(hF_Mirabelle_hf)) @ ((cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ hF_Mirabelle_hpair))) @ r)))) @ (vEQ(hF_Mirabelle_hf) @ X1)))) @ X2))) )),
1.40/0.60	  inference(pi_clausification,[],[f938])).
1.40/0.60	thf(f938,plain,(
1.40/0.60	  ( ! [X1 : hF_Mirabelle_hf] : (($true = (vPI(hF_Mirabelle_hf) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ ((bCOMB @ hF_Mirabelle_hmem) @ ((cCOMB @ hF_Mirabelle_hpair) @ X1))) @ r))) @ ((bCOMB @ vPI(hF_Mirabelle_hf)) @ ((cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ hF_Mirabelle_hpair))) @ r)))) @ (vEQ(hF_Mirabelle_hf) @ X1))))))) )),
1.40/0.60	  inference(combinator_demodulation,[],[f937])).
1.40/0.60	thf(f937,plain,(
1.40/0.60	  ( ! [X1 : hF_Mirabelle_hf] : (($true = (((bCOMB @ vPI(hF_Mirabelle_hf)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ (cCOMB @ hF_Mirabelle_hpair)))) @ r)))) @ ((bCOMB @ (bCOMB @ vPI(hF_Mirabelle_hf))) @ ((bCOMB @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ hF_Mirabelle_hpair))) @ r))))) @ vEQ(hF_Mirabelle_hf))))) @ X1))) )),
1.40/0.60	  inference(pi_clausification,[],[f936])).
1.40/0.60	thf(f936,plain,(
1.40/0.60	  ($true = (vPI(hF_Mirabelle_hf) @ ((bCOMB @ vPI(hF_Mirabelle_hf)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ (cCOMB @ hF_Mirabelle_hpair)))) @ r)))) @ ((bCOMB @ (bCOMB @ vPI(hF_Mirabelle_hf))) @ ((bCOMB @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ hF_Mirabelle_hpair))) @ r))))) @ vEQ(hF_Mirabelle_hf)))))))),
1.40/0.60	  inference(combinator_demodulation,[],[f897])).
1.40/0.60	thf(f897,plain,(
1.40/0.60	  ($true = (((bCOMB @ vPI(hF_Mirabelle_hf)) @ ((bCOMB @ (bCOMB @ vPI(hF_Mirabelle_hf))) @ ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ (cCOMB @ hF_Mirabelle_hpair)))))))) @ ((bCOMB @ (bCOMB @ (bCOMB @ vPI(hF_Mirabelle_hf)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ hF_Mirabelle_hmem)) @ hF_Mirabelle_hpair)))))))) @ vEQ(hF_Mirabelle_hf)))))) @ r))),
1.40/0.60	  inference(definition_unfolding,[],[f824,f892])).
1.40/0.60	thf(f824,plain,(
1.40/0.60	  ((hF_Mir199975595nction @ r) = $true)),
1.40/0.60	  inference(cnf_transformation,[],[f362])).
1.40/0.60	thf(f362,plain,(
1.40/0.60	  ((hF_Mir199975595nction @ r) = $true)),
1.40/0.60	  inference(fool_elimination,[],[f361])).
1.40/0.60	thf(f361,plain,(
1.40/0.60	  (hF_Mir199975595nction @ r)),
1.40/0.60	  inference(rectify,[],[f273])).
1.40/0.60	thf(f273,axiom,(
1.40/0.60	  (hF_Mir199975595nction @ r)),
1.40/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
1.40/0.60	thf(f1493,plain,(
1.40/0.60	  ($true = ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ sK19) @ sK20)) @ r))),
1.40/0.60	  inference(trivial_inequality_removal,[],[f1482])).
1.40/0.60	thf(f1482,plain,(
1.40/0.60	  ($true = $false) | ($true = ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ sK19) @ sK20)) @ r))),
1.40/0.60	  inference(superposition,[],[f915,f956])).
1.40/0.60	thf(f956,plain,(
1.40/0.60	  ($true = ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ sK19) @ sK20)) @ ((hF_Mir1653039215strict @ r) @ x)))),
1.40/0.60	  inference(binary_proxy_clausification,[],[f954])).
1.40/0.60	thf(f954,plain,(
1.40/0.60	  ($false = ((vIMP @ ((hF_Mirabelle_hmem @ ((hF_Mirabelle_hpair @ sK19) @ sK20)) @ ((hF_Mir1653039215strict @ r) @ x))) @ ((vEQ(hF_Mirabelle_hf) @ sK18) @ sK20)))),
1.40/0.60	  inference(combinator_demodulation,[],[f953])).
1.40/0.60	thf(f953,plain,(
1.40/0.60	  ($false = (((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ ((bCOMB @ hF_Mirabelle_hmem) @ (hF_Mirabelle_hpair @ sK19))) @ ((hF_Mir1653039215strict @ r) @ x)))) @ (vEQ(hF_Mirabelle_hf) @ sK18)) @ sK20))),
1.40/0.60	  inference(sigma_clausification,[],[f951])).
1.40/0.60	thf(f951,plain,(
1.40/0.60	  ($false = (vPI(hF_Mirabelle_hf) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ ((bCOMB @ hF_Mirabelle_hmem) @ (hF_Mirabelle_hpair @ sK19))) @ ((hF_Mir1653039215strict @ r) @ x)))) @ (vEQ(hF_Mirabelle_hf) @ sK18))))),
1.40/0.60	  inference(binary_proxy_clausification,[],[f950])).
1.40/0.60	thf(f957,plain,(
1.40/0.60	  (sK18 != sK20)),
1.40/0.60	  inference(equality_proxy_clausification,[],[f955])).
1.40/0.60	thf(f955,plain,(
1.40/0.60	  ($false = ((vEQ(hF_Mirabelle_hf) @ sK18) @ sK20))),
1.40/0.60	  inference(binary_proxy_clausification,[],[f954])).
1.40/0.60	% SZS output end Proof for theBenchmark
1.40/0.60	% (12677)------------------------------
1.40/0.60	% (12677)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
1.40/0.60	% (12677)Termination reason: Refutation
1.40/0.60	
1.40/0.60	% (12677)Memory used [KB]: 12025
1.40/0.60	% (12677)Time elapsed: 0.216 s
1.40/0.60	% (12677)------------------------------
1.40/0.60	% (12677)------------------------------
1.40/0.60	% (12653)Success in time 0.263 s
1.40/0.61	EOF