0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : run_vampire %s %d
0.14/0.34	% Computer   : n014.cluster.edu
0.14/0.34	% Model      : x86_64 x86_64
0.14/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.34	% Memory     : 8042.1875MB
0.14/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.34	% CPULimit   : 1200
0.14/0.34	% WCLimit    : 120
0.14/0.34	% DateTime   : Tue Jul 13 15:55:49 EDT 2021
0.14/0.34	% CPUTime    : 
0.14/0.34	This is a THF_ problem
0.14/0.35	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.14/0.35	Running in auto input_syntax mode. Trying TPTP
0.14/0.39	% (11718)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	% (11736)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
0.20/0.40	% (11707)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
0.20/0.41	% (11714)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	% (11711)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
0.20/0.41	% (11709)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
0.20/0.41	% (11712)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
0.20/0.41	% (11715)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
0.20/0.41	% (11728)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
0.20/0.41	% (11710)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	% (11729)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
0.20/0.42	% (11732)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	% (11708)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
0.20/0.43	% (11734)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	% (11733)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	% (11731)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	% (11721)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
0.20/0.43	% (11717)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
0.20/0.43	% (11714)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.43	% (11727)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
0.20/0.44	% (11723)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	% (11726)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	% (11725)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	% (11730)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
0.20/0.44	% (11713)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
0.20/0.45	% (11724)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	% (11722)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
0.20/0.45	% (11720)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	% (11719)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
0.20/0.45	% (11716)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
0.20/0.45	% (11735)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
0.20/0.45	% (11732)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.46	% (11711)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.46	% (11709)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.48	% (11724)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.48	% (11713)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.48	% (11729)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.48	% (11731)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.49	% (11715)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.49	% (11723)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.50	% (11730)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.50	% (11723)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.50	% (11726)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.50	% (11720)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.50	% (11716)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.50	% (11716)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.50	% (11722)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.65	% (11721)First to succeed.
0.20/0.66	% (11721)Refutation found. Thanks to Tanya!
0.20/0.66	% SZS status Theorem for theBenchmark
0.20/0.66	% SZS output start Proof for theBenchmark
0.20/0.66	thf(type_def_6, type, list_P1891567085od_a_a: $tType).
0.20/0.66	thf(type_def_7, type, list_P1458844246od_a_a: $tType).
0.20/0.66	thf(type_def_8, type, list_P319927492_a_a_a: $tType).
0.20/0.66	thf(type_def_9, type, list_P1467822637od_a_a: $tType).
0.20/0.66	thf(type_def_10, type, list_a: $tType).
0.20/0.66	thf(type_def_11, type, nat: $tType).
0.20/0.66	thf(type_def_12, type, >: ($tType * $tType) > $tType).
0.20/0.66	thf(func_def_13, type, times_times_nat: nat > nat > nat).
0.20/0.66	thf(func_def_14, type, zero_zero_nat: nat).
0.20/0.66	thf(func_def_15, type, produc1055075589od_a_a: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1891567085od_a_a).
0.20/0.66	thf(func_def_16, type, produc778776796_a_a_a: list_P1467822637od_a_a > list_a > list_P319927492_a_a_a).
0.20/0.66	thf(func_def_17, type, produc16441326od_a_a: list_a > list_P1467822637od_a_a > list_P1458844246od_a_a).
0.20/0.66	thf(func_def_18, type, product_a_a: list_a > list_a > list_P1467822637od_a_a).
0.20/0.66	thf(func_def_19, type, suc: nat > nat).
0.20/0.66	thf(func_def_20, type, size_s1052379225od_a_a: list_P1891567085od_a_a > nat).
0.20/0.66	thf(func_def_21, type, size_s736232240_a_a_a: list_P319927492_a_a_a > nat).
0.20/0.66	thf(func_def_22, type, size_s1875148994od_a_a: list_P1458844246od_a_a > nat).
0.20/0.66	thf(func_def_23, type, size_s642698393od_a_a: list_P1467822637od_a_a > nat).
0.20/0.66	thf(func_def_24, type, size_size_list_a: list_a > nat).
0.20/0.66	thf(func_def_25, type, ord_less_nat: nat > nat > $o).
0.20/0.66	thf(func_def_26, type, ord_less_eq_nat: nat > nat > $o).
0.20/0.66	thf(func_def_27, type, divide_divide_nat: nat > nat > nat).
0.20/0.66	thf(func_def_28, type, k: nat).
0.20/0.66	thf(func_def_29, type, n: nat).
0.20/0.66	thf(func_def_30, type, xs: list_a).
0.20/0.66	thf(func_def_32, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
0.20/0.66	thf(func_def_35, type, vIMP: $o > $o > $o).
0.20/0.66	thf(func_def_36, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
0.20/0.66	thf(func_def_37, type, vNOT: $o > $o).
0.20/0.66	thf(func_def_38, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)).
0.20/0.66	thf(func_def_39, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
0.20/0.66	thf(func_def_40, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
0.20/0.66	thf(func_def_41, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
0.20/0.66	thf(func_def_42, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
0.20/0.66	thf(func_def_43, type, vOR: $o > $o > $o).
0.20/0.66	thf(func_def_44, type, vAND: $o > $o > $o).
0.20/0.66	thf(func_def_45, type, sP0: (nat > nat > $o) > $o).
0.20/0.66	thf(func_def_46, type, sP1: nat > (nat > $o) > $o).
0.20/0.66	thf(func_def_47, type, sK2: (nat > nat > $o) > nat).
0.20/0.66	thf(func_def_48, type, sK3: (nat > nat > $o) > nat).
0.20/0.66	thf(func_def_49, type, sK4: (nat > nat > $o) > nat).
0.20/0.66	thf(func_def_50, type, sK5: (nat > nat > $o) > nat).
0.20/0.66	thf(func_def_51, type, sK6: nat > (nat > $o) > nat).
0.20/0.66	thf(func_def_52, type, sK7: (nat > $o) > nat > nat).
0.20/0.66	thf(func_def_53, type, sK8: (nat > nat) > nat).
0.20/0.66	thf(func_def_54, type, sK9: (nat > nat) > nat).
0.20/0.66	thf(func_def_55, type, sK10: (nat > nat > $o) > nat).
0.20/0.66	thf(func_def_56, type, sK11: (nat > nat > $o) > nat).
0.20/0.66	thf(func_def_57, type, sK12: (nat > nat > $o) > nat).
0.20/0.66	thf(func_def_58, type, sK13: (nat > nat > $o) > nat).
0.20/0.66	thf(func_def_59, type, sK14: nat > nat > nat).
0.20/0.66	thf(func_def_60, type, sK15: nat > nat > nat).
0.20/0.66	thf(func_def_61, type, sK16: (nat > $o) > nat).
0.20/0.66	thf(func_def_62, type, sK17: (nat > $o) > nat).
0.20/0.66	thf(func_def_63, type, sK18: (nat > $o) > nat).
0.20/0.66	thf(func_def_64, type, sK19: (nat > $o) > nat).
0.20/0.66	thf(func_def_65, type, sK20: (nat > $o) > nat).
0.20/0.66	thf(func_def_66, type, sK21: (nat > $o) > nat).
0.20/0.66	thf(func_def_67, type, sK22: nat > nat).
0.20/0.66	thf(func_def_68, type, sK23: (nat > $o) > nat).
0.20/0.66	thf(func_def_69, type, sK24: (list_a > $o) > list_a).
0.20/0.66	thf(func_def_70, type, sK25: nat > list_a).
0.20/0.66	thf(func_def_71, type, sK26: nat > nat).
0.20/0.66	thf(func_def_72, type, sK27: nat > nat).
0.20/0.66	thf(func_def_73, type, sK28: nat > nat).
0.20/0.66	thf(func_def_74, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
0.20/0.66	thf(func_def_75, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
0.20/0.66	thf(f1752,plain,(
0.20/0.66	  $false),
0.20/0.66	  inference(trivial_inequality_removal,[],[f1708])).
0.20/0.66	thf(f1708,plain,(
0.20/0.66	  (n != n)),
0.20/0.66	  inference(superposition,[],[f786,f1604])).
0.20/0.66	thf(f1604,plain,(
0.20/0.66	  (n = (suc @ n))),
0.20/0.66	  inference(trivial_inequality_removal,[],[f1597])).
0.20/0.66	thf(f1597,plain,(
0.20/0.66	  ($true != $true) | (n = (suc @ n))),
0.20/0.66	  inference(superposition,[],[f751,f1578])).
0.20/0.66	thf(f1578,plain,(
0.20/0.66	  ($true = ((ord_less_nat @ n) @ n)) | (n = (suc @ n))),
0.20/0.66	  inference(superposition,[],[f1010,f686])).
0.20/0.66	thf(f686,plain,(
0.20/0.66	  (((divide_divide_nat @ (size_size_list_a @ xs)) @ k) = (suc @ n))),
0.20/0.66	  inference(cnf_transformation,[],[f71])).
0.20/0.66	thf(f71,axiom,(
0.20/0.66	  (((divide_divide_nat @ (size_size_list_a @ xs)) @ k) = (suc @ n))),
0.20/0.66	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
0.20/0.66	thf(f1010,plain,(
0.20/0.66	  (((divide_divide_nat @ (size_size_list_a @ xs)) @ k) = n) | ($true = ((ord_less_nat @ n) @ n))),
0.20/0.66	  inference(global_subsumption,[],[f685,f945])).
0.20/0.66	thf(f945,plain,(
0.20/0.66	  (((divide_divide_nat @ (size_size_list_a @ xs)) @ k) = n) | (zero_zero_nat = k) | ($true = ((ord_less_nat @ n) @ n))),
0.20/0.66	  inference(superposition,[],[f810,f901])).
0.20/0.66	thf(f901,plain,(
0.20/0.66	  ((size_size_list_a @ xs) = ((times_times_nat @ n) @ k)) | ($true = ((ord_less_nat @ n) @ n))),
0.20/0.66	  inference(trivial_inequality_removal,[],[f900])).
0.20/0.66	thf(f900,plain,(
0.20/0.66	  ($true != $true) | ($true = ((ord_less_nat @ n) @ n)) | ((size_size_list_a @ xs) = ((times_times_nat @ n) @ k))),
0.20/0.66	  inference(superposition,[],[f712,f895])).
0.20/0.66	thf(f895,plain,(
0.20/0.66	  ($true = ((ord_less_nat @ (suc @ n)) @ n)) | ((size_size_list_a @ xs) = ((times_times_nat @ n) @ k))),
0.20/0.66	  inference(trivial_inequality_removal,[],[f886])).
0.20/0.66	thf(f886,plain,(
0.20/0.66	  ($true != $true) | ($true = ((ord_less_nat @ (suc @ n)) @ n)) | ((size_size_list_a @ xs) = ((times_times_nat @ n) @ k))),
0.20/0.66	  inference(superposition,[],[f839,f855])).
0.20/0.66	thf(f855,plain,(
0.20/0.66	  ($true = ((ord_less_nat @ (size_size_list_a @ xs)) @ ((times_times_nat @ n) @ k))) | ((size_size_list_a @ xs) = ((times_times_nat @ n) @ k))),
0.20/0.66	  inference(trivial_inequality_removal,[],[f854])).
0.20/0.66	thf(f854,plain,(
0.20/0.66	  ($true != $true) | ($true = ((ord_less_nat @ (size_size_list_a @ xs)) @ ((times_times_nat @ n) @ k))) | ((size_size_list_a @ xs) = ((times_times_nat @ n) @ k))),
0.20/0.66	  inference(superposition,[],[f684,f747])).
0.20/0.66	thf(f747,plain,(
0.20/0.66	  ( ! [X0 : nat,X1 : nat] : (($true = ((ord_less_nat @ X1) @ X0)) | ($true = ((ord_less_nat @ X0) @ X1)) | (X0 = X1)) )),
0.20/0.66	  inference(cnf_transformation,[],[f587])).
0.20/0.66	thf(f587,plain,(
0.20/0.66	  ! [X0 : nat,X1 : nat] : (($true = ((ord_less_nat @ X1) @ X0)) | ($true = ((ord_less_nat @ X0) @ X1)) | (X0 = X1))),
0.20/0.66	  inference(flattening,[],[f586])).
0.20/0.66	thf(f586,plain,(
0.20/0.66	  ! [X0 : nat,X1 : nat] : ((($true = ((ord_less_nat @ X1) @ X0)) | ($true = ((ord_less_nat @ X0) @ X1))) | (X0 = X1))),
0.20/0.66	  inference(ennf_transformation,[],[f468])).
0.20/0.66	thf(f468,plain,(
0.20/0.66	  ! [X0 : nat,X1 : nat] : ((X0 != X1) => (($true != ((ord_less_nat @ X0) @ X1)) => ($true = ((ord_less_nat @ X1) @ X0))))),
0.20/0.66	  inference(flattening,[],[f300])).
0.20/0.66	thf(f300,plain,(
0.20/0.66	  ! [X0 : nat,X1 : nat] : ((X0 != X1) => (~($true = ((ord_less_nat @ X0) @ X1)) => ($true = ((ord_less_nat @ X1) @ X0))))),
0.20/0.66	  inference(fool_elimination,[],[f299])).
0.20/0.66	thf(f299,plain,(
0.20/0.66	  ! [X0 : nat,X1 : nat] : ((X0 != X1) => (~((ord_less_nat @ X0) @ X1) => ((ord_less_nat @ X1) @ X0)))),
0.20/0.66	  inference(rectify,[],[f139])).
0.20/0.66	thf(f139,axiom,(
0.20/0.66	  ! [X18 : nat,X19 : nat] : ((X18 != X19) => (~((ord_less_nat @ X18) @ X19) => ((ord_less_nat @ X19) @ X18)))),
0.20/0.66	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_linorder__neqE__nat)).
0.20/0.66	thf(f684,plain,(
0.20/0.66	  (((ord_less_nat @ ((times_times_nat @ n) @ k)) @ (size_size_list_a @ xs)) != $true)),
0.20/0.66	  inference(cnf_transformation,[],[f463])).
0.20/0.66	thf(f463,plain,(
0.20/0.66	  (((ord_less_nat @ ((times_times_nat @ n) @ k)) @ (size_size_list_a @ xs)) != $true)),
0.20/0.66	  inference(flattening,[],[f190])).
0.20/0.66	thf(f190,plain,(
0.20/0.66	  ~(((ord_less_nat @ ((times_times_nat @ n) @ k)) @ (size_size_list_a @ xs)) = $true)),
0.20/0.66	  inference(fool_elimination,[],[f189])).
0.20/0.66	thf(f189,plain,(
0.20/0.66	  ~((ord_less_nat @ ((times_times_nat @ n) @ k)) @ (size_size_list_a @ xs))),
0.20/0.66	  inference(rectify,[],[f164])).
0.20/0.66	thf(f164,negated_conjecture,(
0.20/0.66	  ~((ord_less_nat @ ((times_times_nat @ n) @ k)) @ (size_size_list_a @ xs))),
0.20/0.66	  inference(negated_conjecture,[],[f163])).
0.20/0.66	thf(f163,conjecture,(
0.20/0.66	  ((ord_less_nat @ ((times_times_nat @ n) @ k)) @ (size_size_list_a @ xs))),
0.20/0.66	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2)).
0.20/0.66	thf(f839,plain,(
0.20/0.66	  ( ! [X0 : nat] : (($true != ((ord_less_nat @ (size_size_list_a @ xs)) @ ((times_times_nat @ X0) @ k))) | ($true = ((ord_less_nat @ (suc @ n)) @ X0))) )),
0.20/0.66	  inference(superposition,[],[f793,f686])).
0.20/0.66	thf(f793,plain,(
0.20/0.66	  ( ! [X2 : nat,X0 : nat,X1 : nat] : (($true = ((ord_less_nat @ ((divide_divide_nat @ X0) @ X2)) @ X1)) | ($true != ((ord_less_nat @ X0) @ ((times_times_nat @ X1) @ X2)))) )),
0.20/0.66	  inference(cnf_transformation,[],[f606])).
0.20/0.66	thf(f606,plain,(
0.20/0.66	  ! [X0 : nat,X1 : nat,X2 : nat] : (($true = ((ord_less_nat @ ((divide_divide_nat @ X0) @ X2)) @ X1)) | ($true != ((ord_less_nat @ X0) @ ((times_times_nat @ X1) @ X2))))),
0.20/0.66	  inference(ennf_transformation,[],[f456])).
0.20/0.66	thf(f456,plain,(
0.20/0.66	  ! [X0 : nat,X1 : nat,X2 : nat] : (($true = ((ord_less_nat @ X0) @ ((times_times_nat @ X1) @ X2))) => ($true = ((ord_less_nat @ ((divide_divide_nat @ X0) @ X2)) @ X1)))),
0.20/0.66	  inference(fool_elimination,[],[f455])).
0.20/0.66	thf(f455,plain,(
0.20/0.66	  ! [X0 : nat,X1 : nat,X2 : nat] : (((ord_less_nat @ X0) @ ((times_times_nat @ X1) @ X2)) => ((ord_less_nat @ ((divide_divide_nat @ X0) @ X2)) @ X1))),
0.20/0.66	  inference(rectify,[],[f132])).
0.20/0.66	thf(f132,axiom,(
0.20/0.66	  ! [X2 : nat,X28 : nat,X1 : nat] : (((ord_less_nat @ X2) @ ((times_times_nat @ X28) @ X1)) => ((ord_less_nat @ ((divide_divide_nat @ X2) @ X1)) @ X28))),
0.20/0.66	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_124_Util__Div_Oless__mult__imp__div__less)).
0.20/0.66	thf(f712,plain,(
0.20/0.66	  ( ! [X0 : nat,X1 : nat] : (($true != ((ord_less_nat @ (suc @ X0)) @ X1)) | ($true = ((ord_less_nat @ X0) @ X1))) )),
0.20/0.66	  inference(cnf_transformation,[],[f545])).
0.20/0.66	thf(f545,plain,(
0.20/0.66	  ! [X0 : nat,X1 : nat] : (($true = ((ord_less_nat @ X0) @ X1)) | ($true != ((ord_less_nat @ (suc @ X0)) @ X1)))),
0.20/0.66	  inference(ennf_transformation,[],[f378])).
0.20/0.66	thf(f378,plain,(
0.20/0.66	  ! [X0 : nat,X1 : nat] : (($true = ((ord_less_nat @ (suc @ X0)) @ X1)) => ($true = ((ord_less_nat @ X0) @ X1)))),
0.20/0.66	  inference(fool_elimination,[],[f377])).
0.20/0.66	thf(f377,plain,(
0.20/0.66	  ! [X0 : nat,X1 : nat] : (((ord_less_nat @ (suc @ X0)) @ X1) => ((ord_less_nat @ X0) @ X1))),
0.20/0.66	  inference(rectify,[],[f136])).
0.20/0.66	thf(f136,axiom,(
0.20/0.66	  ! [X1 : nat,X2 : nat] : (((ord_less_nat @ (suc @ X1)) @ X2) => ((ord_less_nat @ X1) @ X2))),
0.20/0.66	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_Suc__lessD)).
0.20/0.66	thf(f810,plain,(
0.20/0.66	  ( ! [X0 : nat,X1 : nat] : ((((divide_divide_nat @ ((times_times_nat @ X1) @ X0)) @ X0) = X1) | (zero_zero_nat = X0)) )),
0.20/0.66	  inference(cnf_transformation,[],[f621])).
0.20/0.66	thf(f621,plain,(
0.20/0.66	  ! [X0 : nat,X1 : nat] : ((((divide_divide_nat @ ((times_times_nat @ X1) @ X0)) @ X0) = X1) | (zero_zero_nat = X0))),
0.20/0.66	  inference(ennf_transformation,[],[f510])).
0.20/0.66	thf(f510,plain,(
0.20/0.66	  ! [X0 : nat,X1 : nat] : ((zero_zero_nat != X0) => (((divide_divide_nat @ ((times_times_nat @ X1) @ X0)) @ X0) = X1))),
0.20/0.66	  inference(rectify,[],[f161])).
0.20/0.66	thf(f161,axiom,(
0.20/0.66	  ! [X9 : nat,X7 : nat] : ((zero_zero_nat != X9) => (((divide_divide_nat @ ((times_times_nat @ X7) @ X9)) @ X9) = X7))),
0.20/0.66	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_nonzero__mult__div__cancel__right)).
0.20/0.66	thf(f685,plain,(
0.20/0.66	  (zero_zero_nat != k)),
0.20/0.66	  inference(cnf_transformation,[],[f85])).
0.20/0.66	thf(f85,axiom,(
0.20/0.66	  (zero_zero_nat != k)),
0.20/0.66	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
0.20/0.66	thf(f751,plain,(
0.20/0.66	  ( ! [X0 : nat] : (($true != ((ord_less_nat @ X0) @ X0))) )),
0.20/0.66	  inference(cnf_transformation,[],[f470])).
0.20/0.66	thf(f470,plain,(
0.20/0.66	  ! [X0 : nat] : ($true != ((ord_less_nat @ X0) @ X0))),
0.20/0.66	  inference(flattening,[],[f248])).
0.20/0.66	thf(f248,plain,(
0.20/0.66	  ! [X0 : nat] : ~($true = ((ord_less_nat @ X0) @ X0))),
0.20/0.66	  inference(fool_elimination,[],[f247])).
0.20/0.66	thf(f247,plain,(
0.20/0.66	  ! [X0 : nat] : ~((ord_less_nat @ X0) @ X0)),
0.20/0.66	  inference(rectify,[],[f127])).
0.20/0.66	thf(f127,axiom,(
0.20/0.66	  ! [X2 : nat] : ~((ord_less_nat @ X2) @ X2)),
0.20/0.66	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_less__not__refl)).
0.20/0.66	thf(f786,plain,(
0.20/0.66	  ( ! [X0 : nat] : (((suc @ X0) != X0)) )),
0.20/0.66	  inference(cnf_transformation,[],[f498])).
0.20/0.66	thf(f498,plain,(
0.20/0.66	  ! [X0 : nat] : ((suc @ X0) != X0)),
0.20/0.66	  inference(rectify,[],[f22])).
0.20/0.66	thf(f22,axiom,(
0.20/0.66	  ! [X2 : nat] : ((suc @ X2) != X2)),
0.20/0.66	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_n__not__Suc__n)).
0.20/0.66	% SZS output end Proof for theBenchmark
0.20/0.66	% (11721)------------------------------
0.20/0.66	% (11721)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.20/0.66	% (11721)Termination reason: Refutation
0.20/0.66	
0.20/0.66	% (11721)Memory used [KB]: 7036
0.20/0.66	% (11721)Time elapsed: 0.262 s
0.20/0.66	% (11721)------------------------------
0.20/0.66	% (11721)------------------------------
0.20/0.66	% (11706)Success in time 0.301 s
0.20/0.66	EOF