0.10/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.12	% Command    : run_vampire %s %d
0.13/0.33	% Computer   : n013.cluster.edu
0.13/0.33	% Model      : x86_64 x86_64
0.13/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	% Memory     : 8042.1875MB
0.13/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.33	% CPULimit   : 1200
0.13/0.33	% WCLimit    : 120
0.13/0.33	% DateTime   : Tue Jul 13 11:04:03 EDT 2021
0.13/0.33	% CPUTime    : 
0.13/0.34	This is a THF_ problem
0.13/0.34	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.13/0.34	Running in auto input_syntax mode. Trying TPTP
0.13/0.38	% (3458)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
0.13/0.38	% (3468)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
0.13/0.38	% (3452)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
0.13/0.38	% (3481)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
0.13/0.39	% (3446)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
0.13/0.39	% (3480)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
0.13/0.39	% (3459)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
0.13/0.39	% (3470)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
0.13/0.39	% (3459)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.13/0.39	% (3473)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
0.13/0.39	% (3475)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
0.13/0.39	% (3456)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
0.13/0.39	% (3481)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.13/0.40	% (3458)Refutation not found, incomplete strategy% (3458)------------------------------
0.13/0.40	% (3458)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.13/0.40	% (3456)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.13/0.40	% (3472)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
0.13/0.40	% (3462)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
0.13/0.40	% (3473)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.13/0.40	% (3480)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.13/0.40	% (3481)Refutation not found, incomplete strategy% (3481)------------------------------
0.13/0.40	% (3481)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.13/0.40	% (3481)Termination reason: Refutation not found, incomplete strategy
0.13/0.40	
0.13/0.40	% (3481)Memory used [KB]: 10234
0.13/0.40	% (3481)Time elapsed: 0.019 s
0.13/0.40	% (3481)------------------------------
0.13/0.40	% (3481)------------------------------
0.13/0.41	% (3462)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.13/0.41	% (3485)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
0.13/0.41	% (3461)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
0.13/0.41	% (3486)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
0.13/0.41	% (3474)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
0.20/0.41	% (3461)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.41	% (3460)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	% (3474)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.41	% (3458)Termination reason: Refutation not found, incomplete strategy
0.20/0.41	
0.20/0.41	% (3458)Memory used [KB]: 10618
0.20/0.41	% (3458)Time elapsed: 0.044 s
0.20/0.41	% (3458)------------------------------
0.20/0.41	% (3458)------------------------------
0.20/0.41	% (3474)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.42	% (3479)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
0.20/0.42	% (3475)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.42	% (3484)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
0.20/0.42	% (3470)First to succeed.
0.20/0.42	% (3477)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
0.20/0.42	% (3463)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
0.20/0.42	% (3487)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
0.20/0.42	% (3467)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
0.20/0.42	% (3456)Refutation not found, incomplete strategy% (3456)------------------------------
0.20/0.42	% (3456)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.20/0.42	% (3456)Termination reason: Refutation not found, incomplete strategy
0.20/0.42	
0.20/0.42	% (3456)Memory used [KB]: 10362
0.20/0.42	% (3456)Time elapsed: 0.047 s
0.20/0.42	% (3456)------------------------------
0.20/0.42	% (3456)------------------------------
0.20/0.42	% (3468)Refutation not found, incomplete strategy% (3468)------------------------------
0.20/0.42	% (3468)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.20/0.42	% (3468)Termination reason: Refutation not found, incomplete strategy
0.20/0.42	
0.20/0.42	% (3468)Memory used [KB]: 10746
0.20/0.42	% (3468)Time elapsed: 0.064 s
0.20/0.42	% (3468)------------------------------
0.20/0.42	% (3468)------------------------------
0.20/0.42	% (3467)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.43	% (3477)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.43	% (3463)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.43	% (3467)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.43	% (3471)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
0.20/0.43	% (3476)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
0.20/0.43	% (3469)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
0.20/0.43	% (3482)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	% (3478)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	% (3483)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	% (3471)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.43	% (3483)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.43	% (3482)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.44	% (3446)Also succeeded, but the first one will report.
0.20/0.44	% (3470)Refutation found. Thanks to Tanya!
0.20/0.44	% SZS status Theorem for theBenchmark
0.20/0.44	% SZS output start Proof for theBenchmark
0.20/0.44	thf(type_def_6, type, >: ($tType * $tType) > $tType).
0.20/0.44	thf(func_def_7, type, emptyset: $i > $o).
0.20/0.44	thf(func_def_8, type, union: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.44	thf(func_def_10, type, singleton: $i > $i > $o).
0.20/0.44	thf(func_def_12, type, sup: ($i > $o) > $i).
0.20/0.44	thf(func_def_13, type, supset: (($i > $o) > $o) > $i > $o).
0.20/0.44	thf(func_def_14, type, unionset: (($i > $o) > $o) > $i > $o).
0.20/0.44	thf(func_def_15, type, addition: $i > $i > $i).
0.20/0.44	thf(func_def_16, type, leq: $i > $i > $o).
0.20/0.44	thf(func_def_17, type, multiplication: $i > $i > $i).
0.20/0.44	thf(func_def_18, type, crossmult: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.44	thf(func_def_20, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
0.20/0.44	thf(func_def_23, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
0.20/0.44	thf(func_def_24, type, vAND: $o > $o > $o).
0.20/0.44	thf(func_def_25, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
0.20/0.44	thf(func_def_26, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
0.20/0.44	thf(func_def_27, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
0.20/0.44	thf(func_def_28, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
0.20/0.44	thf(func_def_29, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
0.20/0.44	thf(func_def_30, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
0.20/0.44	thf(func_def_31, type, vOR: $o > $o > $o).
0.20/0.44	thf(func_def_35, type, vIMP: $o > $o > $o).
0.20/0.44	thf(func_def_36, type, vNOT: $o > $o).
0.20/0.44	thf(func_def_40, type, inv_vEQ_3: !>[X0: $tType]:((X0 > $o) > X0)).
0.20/0.44	thf(func_def_41, type, sK4: $i > $i > $i).
0.20/0.44	thf(f132,plain,(
0.20/0.44	  $false),
0.20/0.44	  inference(avatar_sat_refutation,[],[f120,f128,f129])).
0.20/0.44	thf(f129,plain,(
0.20/0.44	  ~spl2_1),
0.20/0.44	  inference(avatar_split_clause,[],[f98,f113])).
0.20/0.44	thf(f113,plain,(
0.20/0.44	  spl2_1 <=> (sK0 = sK5)),
0.20/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
0.20/0.44	thf(f98,plain,(
0.20/0.44	  (sK0 != sK5)),
0.20/0.44	  inference(duplicate_literal_removal,[],[f97])).
0.20/0.44	thf(f97,plain,(
0.20/0.44	  (sK0 != sK5) | (sK0 != sK5)),
0.20/0.44	  inference(equality_proxy_clausification,[],[f94])).
0.20/0.44	thf(f94,plain,(
0.20/0.44	  (sK0 != sK5) | ($false = ((vEQ($i) @ sK0) @ sK5))),
0.20/0.44	  inference(binary_proxy_clausification,[],[f93])).
0.20/0.44	thf(f93,plain,(
0.20/0.44	  (sK0 != sK5) | ($false = ((vOR @ ((vEQ($i) @ sK1) @ sK5)) @ ((vEQ($i) @ sK0) @ sK5)))),
0.20/0.44	  inference(equality_proxy_clausification,[],[f92])).
0.20/0.44	thf(f92,plain,(
0.20/0.44	  ($false = ((vEQ($i) @ sK0) @ sK5)) | ($false = ((vOR @ ((vEQ($i) @ sK1) @ sK5)) @ ((vEQ($i) @ sK0) @ sK5)))),
0.20/0.44	  inference(binary_proxy_clausification,[],[f90])).
0.20/0.44	thf(f90,plain,(
0.20/0.44	  ($false = ((vOR @ ((vEQ($i) @ sK0) @ sK5)) @ ((vEQ($i) @ sK1) @ sK5))) | ($false = ((vOR @ ((vEQ($i) @ sK1) @ sK5)) @ ((vEQ($i) @ sK0) @ sK5)))),
0.20/0.44	  inference(binary_proxy_clausification,[],[f88])).
0.20/0.44	thf(f88,plain,(
0.20/0.44	  (((vOR @ ((vEQ($i) @ sK0) @ sK5)) @ ((vEQ($i) @ sK1) @ sK5)) != ((vOR @ ((vEQ($i) @ sK1) @ sK5)) @ ((vEQ($i) @ sK0) @ sK5)))),
0.20/0.44	  inference(combinator_demodulation,[],[f87])).
0.20/0.44	thf(f87,plain,(
0.20/0.44	  ((((sCOMB @ ((bCOMB @ vOR) @ (vEQ($i) @ sK0))) @ (vEQ($i) @ sK1)) @ sK5) != (((sCOMB @ ((bCOMB @ vOR) @ (vEQ($i) @ sK1))) @ (vEQ($i) @ sK0)) @ sK5))),
0.20/0.44	  inference(negative_extensionality,[],[f68])).
0.20/0.44	thf(f68,plain,(
0.20/0.44	  (((sCOMB @ ((bCOMB @ vOR) @ (vEQ($i) @ sK0))) @ (vEQ($i) @ sK1)) != ((sCOMB @ ((bCOMB @ vOR) @ (vEQ($i) @ sK1))) @ (vEQ($i) @ sK0)))),
0.20/0.44	  inference(equality_resolution,[],[f65])).
0.20/0.44	thf(f65,plain,(
0.20/0.44	  ((sup @ ((sCOMB @ ((bCOMB @ vOR) @ (vEQ($i) @ sK0))) @ (vEQ($i) @ sK1))) != (sup @ ((sCOMB @ ((bCOMB @ vOR) @ (vEQ($i) @ sK1))) @ (vEQ($i) @ sK0))))),
0.20/0.44	  inference(combinator_demodulation,[],[f55])).
0.20/0.44	thf(f55,plain,(
0.20/0.44	  (((((bCOMB @ (bCOMB @ sup)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vOR))) @ vEQ($i)))) @ vEQ($i))) @ sK0) @ sK1) != ((((bCOMB @ (bCOMB @ sup)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vOR))) @ vEQ($i)))) @ vEQ($i))) @ sK1) @ sK0))),
0.20/0.44	  inference(definition_unfolding,[],[f37,f53,f53])).
0.20/0.44	thf(f53,plain,(
0.20/0.44	  (addition = ((bCOMB @ (bCOMB @ sup)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vOR))) @ vEQ($i)))) @ vEQ($i))))),
0.20/0.44	  inference(definition_unfolding,[],[f45,f42,f44,f44])).
0.20/0.44	thf(f44,plain,(
0.20/0.44	  (singleton = vEQ($i))),
0.20/0.44	  inference(cnf_transformation,[],[f28])).
0.20/0.44	thf(f28,plain,(
0.20/0.44	  (singleton = vEQ($i))),
0.20/0.44	  inference(fool_elimination,[],[f27])).
0.20/0.44	thf(f27,plain,(
0.20/0.44	  (singleton = (^[X0 : $i, X1 : $i] : ((X0 = X1))))),
0.20/0.44	  inference(rectify,[],[f3])).
0.20/0.44	thf(f3,axiom,(
0.20/0.44	  (singleton = (^[X0 : $i, X2 : $i] : ((X0 = X2))))),
0.20/0.44	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_def)).
0.20/0.44	thf(f42,plain,(
0.20/0.44	  (union = ((bCOMB @ sCOMB) @ (bCOMB @ vOR)))),
0.20/0.44	  inference(cnf_transformation,[],[f24])).
0.20/0.44	thf(f24,plain,(
0.20/0.44	  (union = ((bCOMB @ sCOMB) @ (bCOMB @ vOR)))),
0.20/0.44	  inference(fool_elimination,[],[f23])).
0.20/0.44	thf(f23,plain,(
0.20/0.44	  (union = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
0.20/0.44	  inference(rectify,[],[f2])).
0.20/0.44	thf(f2,axiom,(
0.20/0.44	  (union = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
0.20/0.44	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_def)).
0.20/0.44	thf(f45,plain,(
0.20/0.44	  (addition = ((bCOMB @ (bCOMB @ sup)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ union) @ singleton))) @ singleton)))),
0.20/0.44	  inference(cnf_transformation,[],[f29])).
0.20/0.44	thf(f29,plain,(
0.20/0.44	  (addition = ((bCOMB @ (bCOMB @ sup)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ union) @ singleton))) @ singleton)))),
0.20/0.44	  inference(fool_elimination,[],[f6])).
0.20/0.44	thf(f6,axiom,(
0.20/0.44	  (addition = (^[X0 : $i, X1 : $i] : ((sup @ ((union @ (singleton @ X0)) @ (singleton @ X1))))))),
0.20/0.44	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_def)).
0.20/0.44	thf(f37,plain,(
0.20/0.44	  (((addition @ sK0) @ sK1) != ((addition @ sK1) @ sK0))),
0.20/0.44	  inference(cnf_transformation,[],[f35])).
0.20/0.44	thf(f35,plain,(
0.20/0.44	  (((addition @ sK0) @ sK1) != ((addition @ sK1) @ sK0))),
0.20/0.44	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f33,f34])).
0.20/0.44	thf(f34,plain,(
0.20/0.44	  ? [X0,X1] : (((addition @ X0) @ X1) != ((addition @ X1) @ X0)) => (((addition @ sK0) @ sK1) != ((addition @ sK1) @ sK0))),
0.20/0.44	  introduced(choice_axiom,[])).
0.20/0.44	thf(f33,plain,(
0.20/0.44	  ? [X0,X1] : (((addition @ X0) @ X1) != ((addition @ X1) @ X0))),
0.20/0.44	  inference(ennf_transformation,[],[f32])).
0.20/0.44	thf(f32,plain,(
0.20/0.44	  ~! [X0,X1] : (((addition @ X0) @ X1) = ((addition @ X1) @ X0))),
0.20/0.44	  inference(rectify,[],[f16])).
0.20/0.44	thf(f16,negated_conjecture,(
0.20/0.44	  ~! [X5,X7] : (((addition @ X5) @ X7) = ((addition @ X7) @ X5))),
0.20/0.44	  inference(negated_conjecture,[],[f15])).
0.20/0.44	thf(f15,conjecture,(
0.20/0.44	  ! [X5,X7] : (((addition @ X5) @ X7) = ((addition @ X7) @ X5))),
0.20/0.44	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_comm)).
0.20/0.44	thf(f128,plain,(
0.20/0.44	  ~spl2_2),
0.20/0.44	  inference(avatar_split_clause,[],[f103,f117])).
0.20/0.44	thf(f117,plain,(
0.20/0.44	  spl2_2 <=> (sK1 = sK5)),
0.20/0.44	  introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
0.20/0.44	thf(f103,plain,(
0.20/0.44	  (sK1 != sK5)),
0.20/0.44	  inference(duplicate_literal_removal,[],[f102])).
0.20/0.44	thf(f102,plain,(
0.20/0.44	  (sK1 != sK5) | (sK1 != sK5)),
0.20/0.44	  inference(equality_proxy_clausification,[],[f101])).
0.20/0.44	thf(f101,plain,(
0.20/0.44	  (sK1 != sK5) | ($false = ((vEQ($i) @ sK1) @ sK5))),
0.20/0.44	  inference(binary_proxy_clausification,[],[f99])).
0.20/0.44	thf(f99,plain,(
0.20/0.44	  (sK1 != sK5) | ($false = ((vOR @ ((vEQ($i) @ sK1) @ sK5)) @ ((vEQ($i) @ sK0) @ sK5)))),
0.20/0.44	  inference(equality_proxy_clausification,[],[f91])).
0.20/0.44	thf(f91,plain,(
0.20/0.44	  ($false = ((vEQ($i) @ sK1) @ sK5)) | ($false = ((vOR @ ((vEQ($i) @ sK1) @ sK5)) @ ((vEQ($i) @ sK0) @ sK5)))),
0.20/0.44	  inference(binary_proxy_clausification,[],[f90])).
0.20/0.44	thf(f120,plain,(
0.20/0.44	  spl2_1 | spl2_2),
0.20/0.44	  inference(avatar_split_clause,[],[f111,f117,f113])).
0.20/0.44	thf(f111,plain,(
0.20/0.44	  (sK1 = sK5) | (sK0 = sK5)),
0.20/0.44	  inference(duplicate_literal_removal,[],[f110])).
0.20/0.44	thf(f110,plain,(
0.20/0.44	  (sK1 = sK5) | (sK0 = sK5) | (sK1 = sK5)),
0.20/0.44	  inference(equality_proxy_clausification,[],[f109])).
0.20/0.44	thf(f109,plain,(
0.20/0.44	  (sK1 = sK5) | (sK0 = sK5) | ($true = ((vEQ($i) @ sK1) @ sK5))),
0.20/0.44	  inference(equality_proxy_clausification,[],[f108])).
0.20/0.44	thf(f108,plain,(
0.20/0.44	  (sK1 = sK5) | ($true = ((vEQ($i) @ sK0) @ sK5)) | ($true = ((vEQ($i) @ sK1) @ sK5))),
0.20/0.44	  inference(duplicate_literal_removal,[],[f107])).
0.20/0.44	thf(f107,plain,(
0.20/0.44	  (sK1 = sK5) | ($true = ((vEQ($i) @ sK0) @ sK5)) | ($true = ((vEQ($i) @ sK0) @ sK5)) | ($true = ((vEQ($i) @ sK1) @ sK5))),
0.20/0.44	  inference(binary_proxy_clausification,[],[f106])).
0.20/0.44	thf(f106,plain,(
0.20/0.44	  (sK1 = sK5) | ($true = ((vOR @ ((vEQ($i) @ sK1) @ sK5)) @ ((vEQ($i) @ sK0) @ sK5))) | ($true = ((vEQ($i) @ sK0) @ sK5))),
0.20/0.44	  inference(equality_proxy_clausification,[],[f105])).
0.20/0.44	thf(f105,plain,(
0.20/0.44	  ($true = ((vEQ($i) @ sK1) @ sK5)) | ($true = ((vOR @ ((vEQ($i) @ sK1) @ sK5)) @ ((vEQ($i) @ sK0) @ sK5))) | ($true = ((vEQ($i) @ sK0) @ sK5))),
0.20/0.44	  inference(binary_proxy_clausification,[],[f89])).
0.20/0.44	thf(f89,plain,(
0.20/0.44	  ($true = ((vOR @ ((vEQ($i) @ sK0) @ sK5)) @ ((vEQ($i) @ sK1) @ sK5))) | ($true = ((vOR @ ((vEQ($i) @ sK1) @ sK5)) @ ((vEQ($i) @ sK0) @ sK5)))),
0.20/0.44	  inference(binary_proxy_clausification,[],[f88])).
0.20/0.44	% SZS output end Proof for theBenchmark
0.20/0.44	% (3470)------------------------------
0.20/0.44	% (3470)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.20/0.44	% (3470)Termination reason: Refutation
0.20/0.44	
0.20/0.44	% (3470)Memory used [KB]: 5884
0.20/0.44	% (3470)Time elapsed: 0.066 s
0.20/0.44	% (3470)------------------------------
0.20/0.44	% (3470)------------------------------
0.20/0.44	% (3445)Success in time 0.096 s
0.20/0.44	EOF