0.12/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.13	% Command    : run_vampire %s %d
0.13/0.34	% Computer   : n004.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 1200
0.13/0.34	% WCLimit    : 120
0.13/0.34	% DateTime   : Tue Jul 13 15:19:39 EDT 2021
0.13/0.34	% 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
0.19/0.35	Running in auto input_syntax mode. Trying TPTP
0.19/0.38	% (19697)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
0.19/0.39	% (19713)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
0.19/0.39	% (19698)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
0.19/0.39	% (19699)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
0.19/0.40	% (19693)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
0.19/0.40	% (19696)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
0.19/0.40	% (19695)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
0.19/0.40	% (19700)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
0.19/0.40	% (19697)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.40	% (19710)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
0.19/0.40	% (19705)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
0.19/0.40	% (19697)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.19/0.40	% (19702)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
0.19/0.41	% (19691)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
0.19/0.41	% (19710)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.19/0.41	% (19690)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
0.19/0.41	% (19713)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.41	% (19692)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
0.19/0.42	% (19688)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
0.19/0.42	% (19694)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
0.19/0.42	% (19716)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
0.19/0.42	% (19696)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.19/0.42	% (19690)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.19/0.42	% (19705)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.42	% (19692)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.42	% (19695)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.42	% (19702)Refutation not found, incomplete strategy% (19702)------------------------------
0.19/0.42	% (19702)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.19/0.42	% (19702)Termination reason: Refutation not found, incomplete strategy
0.19/0.42	
0.19/0.42	% (19702)Memory used [KB]: 5756
0.19/0.42	% (19702)Time elapsed: 0.038 s
0.19/0.42	% (19702)------------------------------
0.19/0.42	% (19702)------------------------------
0.19/0.42	% (19689)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
0.19/0.42	% (19694)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.43	% (19713)First to succeed.
0.19/0.43	% (19714)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
0.19/0.43	% (19709)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
0.19/0.43	% (19708)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
0.19/0.43	% (19715)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
0.19/0.43	% (19711)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
0.19/0.43	% (19712)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
0.19/0.43	% (19717)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
0.19/0.44	% (19701)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
0.19/0.44	% (19703)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
0.19/0.44	% (19707)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
0.19/0.44	% (19704)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
0.19/0.44	% (19701)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.44	% (19690)Refutation not found, incomplete strategy% (19690)------------------------------
0.19/0.44	% (19690)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.19/0.44	% (19690)Termination reason: Refutation not found, incomplete strategy
0.19/0.44	
0.19/0.44	% (19690)Memory used [KB]: 10234
0.19/0.44	% (19690)Time elapsed: 0.069 s
0.19/0.44	% (19690)------------------------------
0.19/0.44	% (19690)------------------------------
0.19/0.44	% (19706)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
0.19/0.44	% (19698)Refutation not found, incomplete strategy% (19698)------------------------------
0.19/0.44	% (19698)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.19/0.44	% (19698)Termination reason: Refutation not found, incomplete strategy
0.19/0.44	
0.19/0.44	% (19698)Memory used [KB]: 10874
0.19/0.44	% (19698)Time elapsed: 0.065 s
0.19/0.44	% (19698)------------------------------
0.19/0.44	% (19698)------------------------------
0.19/0.45	% (19713)Refutation found. Thanks to Tanya!
0.19/0.45	% SZS status Theorem for theBenchmark
0.19/0.45	% SZS output start Proof for theBenchmark
0.19/0.45	thf(type_def_6, type, >: ($tType * $tType) > $tType).
0.19/0.45	thf(func_def_7, type, in: $i > $i > $o).
0.19/0.45	thf(func_def_9, type, setadjoin: $i > $i > $i).
0.19/0.45	thf(func_def_10, type, powerset: $i > $i).
0.19/0.45	thf(func_def_11, type, dsetconstr: $i > ($i > $o) > $i).
0.19/0.45	thf(func_def_14, type, binunion: $i > $i > $i).
0.19/0.45	thf(func_def_15, type, kpair: $i > $i > $i).
0.19/0.45	thf(func_def_16, type, cartprod: $i > $i > $i).
0.19/0.45	thf(func_def_19, type, vAND: $o > $o > $o).
0.19/0.45	thf(func_def_20, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
0.19/0.45	thf(func_def_21, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
0.19/0.45	thf(func_def_22, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
0.19/0.45	thf(func_def_23, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
0.19/0.45	thf(func_def_24, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
0.19/0.45	thf(func_def_29, type, sK4: $i > $o).
0.19/0.45	thf(func_def_32, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
0.19/0.45	thf(func_def_33, type, vOR: $o > $o > $o).
0.19/0.45	thf(func_def_34, type, vIMP: $o > $o > $o).
0.19/0.45	thf(func_def_35, type, vNOT: $o > $o).
0.19/0.45	thf(func_def_36, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
0.19/0.45	thf(f65,plain,(
0.19/0.45	  $false),
0.19/0.45	  inference(subsumption_resolution,[],[f63,f52])).
0.19/0.45	thf(f52,plain,(
0.19/0.45	  (sK2 = ((setadjoin @ ((setadjoin @ sK7) @ emptyset)) @ ((setadjoin @ ((setadjoin @ sK7) @ ((setadjoin @ sK8) @ emptyset))) @ emptyset)))),
0.19/0.45	  inference(equality_proxy_clausification,[],[f50])).
0.19/0.45	thf(f50,plain,(
0.19/0.45	  ($true = ((vEQ($i) @ ((setadjoin @ ((setadjoin @ sK7) @ emptyset)) @ ((setadjoin @ ((setadjoin @ sK7) @ ((setadjoin @ sK8) @ emptyset))) @ emptyset))) @ sK2))),
0.19/0.45	  inference(binary_proxy_clausification,[],[f49])).
0.19/0.45	thf(f49,plain,(
0.19/0.45	  ($true = ((vAND @ ((in @ sK8) @ sK1)) @ ((vEQ($i) @ ((setadjoin @ ((setadjoin @ sK7) @ emptyset)) @ ((setadjoin @ ((setadjoin @ sK7) @ ((setadjoin @ sK8) @ emptyset))) @ emptyset))) @ sK2)))),
0.19/0.45	  inference(combinator_demodulation,[],[f48])).
0.19/0.45	thf(f48,plain,(
0.19/0.45	  ($true = (((sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ in) @ sK1))) @ ((cCOMB @ ((bCOMB @ vEQ($i)) @ ((bCOMB @ (setadjoin @ ((setadjoin @ sK7) @ emptyset))) @ ((cCOMB @ ((bCOMB @ setadjoin) @ ((bCOMB @ (setadjoin @ sK7)) @ ((cCOMB @ setadjoin) @ emptyset)))) @ emptyset)))) @ sK2)) @ sK8))),
0.19/0.45	  inference(sigma_clausification,[],[f46])).
0.19/0.45	thf(f46,plain,(
0.19/0.45	  ($true = (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ in) @ sK1))) @ ((cCOMB @ ((bCOMB @ vEQ($i)) @ ((bCOMB @ (setadjoin @ ((setadjoin @ sK7) @ emptyset))) @ ((cCOMB @ ((bCOMB @ setadjoin) @ ((bCOMB @ (setadjoin @ sK7)) @ ((cCOMB @ setadjoin) @ emptyset)))) @ emptyset)))) @ sK2))))),
0.19/0.45	  inference(binary_proxy_clausification,[],[f45])).
0.19/0.45	thf(f45,plain,(
0.19/0.45	  ($true = ((vAND @ ((in @ sK7) @ sK0)) @ (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ in) @ sK1))) @ ((cCOMB @ ((bCOMB @ vEQ($i)) @ ((bCOMB @ (setadjoin @ ((setadjoin @ sK7) @ emptyset))) @ ((cCOMB @ ((bCOMB @ setadjoin) @ ((bCOMB @ (setadjoin @ sK7)) @ ((cCOMB @ setadjoin) @ emptyset)))) @ emptyset)))) @ sK2)))))),
0.19/0.45	  inference(combinator_demodulation,[],[f44])).
0.19/0.45	thf(f44,plain,(
0.19/0.45	  ($true = (((sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ in) @ sK0))) @ ((bCOMB @ vSIGMA($i)) @ ((bCOMB @ (sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ in) @ sK1)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ vEQ($i))) @ ((sCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ setadjoin) @ ((cCOMB @ setadjoin) @ emptyset)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ setadjoin)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ setadjoin)) @ ((cCOMB @ setadjoin) @ emptyset))))) @ emptyset))))) @ sK2)))) @ sK7))),
0.19/0.45	  inference(sigma_clausification,[],[f43])).
0.19/0.45	thf(f43,plain,(
0.19/0.45	  ($true = (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ in) @ sK0))) @ ((bCOMB @ vSIGMA($i)) @ ((bCOMB @ (sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ in) @ sK1)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ vEQ($i))) @ ((sCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ setadjoin) @ ((cCOMB @ setadjoin) @ emptyset)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ setadjoin)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ setadjoin)) @ ((cCOMB @ setadjoin) @ emptyset))))) @ emptyset))))) @ sK2))))))),
0.19/0.45	  inference(combinator_demodulation,[],[f42])).
0.19/0.45	thf(f42,plain,(
0.19/0.45	  ($true = (((bCOMB @ vSIGMA($i)) @ ((bCOMB @ (sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ in) @ sK0)))) @ ((bCOMB @ (bCOMB @ vSIGMA($i))) @ ((bCOMB @ (bCOMB @ (sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ in) @ sK1))))) @ (cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ vEQ($i))) @ ((sCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ setadjoin) @ ((cCOMB @ setadjoin) @ emptyset)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ setadjoin)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ setadjoin)) @ ((cCOMB @ setadjoin) @ emptyset))))) @ emptyset))))))))) @ sK2))),
0.19/0.45	  inference(trivial_inequality_removal,[],[f41])).
0.19/0.45	thf(f41,plain,(
0.19/0.45	  ($true != $true) | ($true = (((bCOMB @ vSIGMA($i)) @ ((bCOMB @ (sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ in) @ sK0)))) @ ((bCOMB @ (bCOMB @ vSIGMA($i))) @ ((bCOMB @ (bCOMB @ (sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ in) @ sK1))))) @ (cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ vEQ($i))) @ ((sCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ setadjoin) @ ((cCOMB @ setadjoin) @ emptyset)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ setadjoin)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ setadjoin)) @ ((cCOMB @ setadjoin) @ emptyset))))) @ emptyset))))))))) @ sK2))),
0.19/0.45	  inference(superposition,[],[f37,f38])).
0.19/0.45	thf(f38,plain,(
0.19/0.45	  ($true = ((in @ sK2) @ ((dsetconstr @ (powerset @ (powerset @ ((binunion @ sK0) @ sK1)))) @ ((bCOMB @ vSIGMA($i)) @ ((bCOMB @ (sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ in) @ sK0)))) @ ((bCOMB @ (bCOMB @ vSIGMA($i))) @ ((bCOMB @ (bCOMB @ (sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ in) @ sK1))))) @ (cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ vEQ($i))) @ ((sCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ setadjoin) @ ((cCOMB @ setadjoin) @ emptyset)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ setadjoin)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ setadjoin)) @ ((cCOMB @ setadjoin) @ emptyset))))) @ emptyset))))))))))))),
0.19/0.45	  inference(combinator_demodulation,[],[f33])).
0.19/0.45	thf(f33,plain,(
0.19/0.45	  ($true = ((in @ sK2) @ ((((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ dsetconstr)) @ ((bCOMB @ (bCOMB @ powerset)) @ ((bCOMB @ (bCOMB @ powerset)) @ binunion))))) @ ((bCOMB @ (bCOMB @ (bCOMB @ vSIGMA($i)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ in)))))) @ ((bCOMB @ (bCOMB @ (bCOMB @ vSIGMA($i)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ in)))))) @ (cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ vEQ($i))) @ ((sCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ setadjoin) @ ((cCOMB @ setadjoin) @ emptyset)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ setadjoin)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ setadjoin)) @ ((cCOMB @ setadjoin) @ emptyset))))) @ emptyset)))))))))) @ sK0) @ sK1)))),
0.19/0.45	  inference(definition_unfolding,[],[f24,f31])).
0.19/0.45	thf(f31,plain,(
0.19/0.45	  (cartprod = ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ dsetconstr)) @ ((bCOMB @ (bCOMB @ powerset)) @ ((bCOMB @ (bCOMB @ powerset)) @ binunion))))) @ ((bCOMB @ (bCOMB @ (bCOMB @ vSIGMA($i)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ in)))))) @ ((bCOMB @ (bCOMB @ (bCOMB @ vSIGMA($i)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ in)))))) @ (cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ vEQ($i))) @ ((sCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ setadjoin) @ ((cCOMB @ setadjoin) @ emptyset)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ setadjoin)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ setadjoin)) @ ((cCOMB @ setadjoin) @ emptyset))))) @ emptyset)))))))))))),
0.19/0.45	  inference(definition_unfolding,[],[f26,f30])).
0.19/0.45	thf(f30,plain,(
0.19/0.45	  (kpair = ((sCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ setadjoin) @ ((cCOMB @ setadjoin) @ emptyset)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ setadjoin)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ setadjoin)) @ ((cCOMB @ setadjoin) @ emptyset))))) @ emptyset)))),
0.19/0.45	  inference(cnf_transformation,[],[f14])).
0.19/0.45	thf(f14,plain,(
0.19/0.45	  (kpair = ((sCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ setadjoin) @ ((cCOMB @ setadjoin) @ emptyset)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ setadjoin)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ setadjoin)) @ ((cCOMB @ setadjoin) @ emptyset))))) @ emptyset)))),
0.19/0.45	  inference(fool_elimination,[],[f13])).
0.19/0.45	thf(f13,plain,(
0.19/0.45	  (kpair = (^[X0 : $i, X1 : $i] : (((setadjoin @ ((setadjoin @ X0) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X0) @ ((setadjoin @ X1) @ emptyset))) @ emptyset)))))),
0.19/0.45	  inference(rectify,[],[f2])).
0.19/0.45	thf(f2,axiom,(
0.19/0.45	  (kpair = (^[X2 : $i, X3 : $i] : (((setadjoin @ ((setadjoin @ X2) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X2) @ ((setadjoin @ X3) @ emptyset))) @ emptyset)))))),
0.19/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',kpair)).
0.19/0.45	thf(f26,plain,(
0.19/0.45	  (cartprod = ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ dsetconstr)) @ ((bCOMB @ (bCOMB @ powerset)) @ ((bCOMB @ (bCOMB @ powerset)) @ binunion))))) @ ((bCOMB @ (bCOMB @ (bCOMB @ vSIGMA($i)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ in)))))) @ ((bCOMB @ (bCOMB @ (bCOMB @ vSIGMA($i)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ in)))))) @ (cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ vEQ($i))) @ kpair)))))))))),
0.19/0.45	  inference(cnf_transformation,[],[f10])).
0.19/0.45	thf(f10,plain,(
0.19/0.45	  (cartprod = ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ dsetconstr)) @ ((bCOMB @ (bCOMB @ powerset)) @ ((bCOMB @ (bCOMB @ powerset)) @ binunion))))) @ ((bCOMB @ (bCOMB @ (bCOMB @ vSIGMA($i)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ in)))))) @ ((bCOMB @ (bCOMB @ (bCOMB @ vSIGMA($i)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ in)))))) @ (cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ vEQ($i))) @ kpair)))))))))),
0.19/0.45	  inference(fool_elimination,[],[f9])).
0.19/0.45	thf(f9,plain,(
0.19/0.45	  (cartprod = (^[X0 : $i, X1 : $i] : (((dsetconstr @ (powerset @ (powerset @ ((binunion @ X0) @ X1)))) @ (^[X2 : $i] : (? [X3] : (? [X4] : ((((kpair @ X3) @ X4) = X2) & ((in @ X4) @ X1)) & ((in @ X3) @ X0))))))))),
0.19/0.45	  inference(rectify,[],[f3])).
0.19/0.45	thf(f3,axiom,(
0.19/0.45	  (cartprod = (^[X0 : $i, X4 : $i] : (((dsetconstr @ (powerset @ (powerset @ ((binunion @ X0) @ X4)))) @ (^[X2 : $i] : (? [X3] : (? [X5] : ((((kpair @ X3) @ X5) = X2) & ((in @ X5) @ X4)) & ((in @ X3) @ X0))))))))),
0.19/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartprod)).
0.19/0.45	thf(f24,plain,(
0.19/0.45	  ($true = ((in @ sK2) @ ((cartprod @ sK0) @ sK1)))),
0.19/0.45	  inference(cnf_transformation,[],[f18])).
0.19/0.45	thf(f18,plain,(
0.19/0.45	  (! [X3] : (! [X4] : (($true != ((in @ X4) @ sK1)) | (((kpair @ X3) @ X4) != sK2)) | ($true != ((in @ X3) @ sK0))) & ($true = ((in @ sK2) @ ((cartprod @ sK0) @ sK1)))) & (dsetconstrER = $true)),
0.19/0.45	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f15,f17])).
0.19/0.45	thf(f17,plain,(
0.19/0.45	  ? [X0,X1,X2] : (! [X3] : (! [X4] : (($true != ((in @ X4) @ X1)) | (((kpair @ X3) @ X4) != X2)) | (((in @ X3) @ X0) != $true)) & ($true = ((in @ X2) @ ((cartprod @ X0) @ X1)))) => (! [X3] : (! [X4] : (($true != ((in @ X4) @ sK1)) | (((kpair @ X3) @ X4) != sK2)) | ($true != ((in @ X3) @ sK0))) & ($true = ((in @ sK2) @ ((cartprod @ sK0) @ sK1))))),
0.19/0.45	  introduced(choice_axiom,[])).
0.19/0.45	thf(f15,plain,(
0.19/0.45	  ? [X0,X1,X2] : (! [X3] : (! [X4] : (($true != ((in @ X4) @ X1)) | (((kpair @ X3) @ X4) != X2)) | (((in @ X3) @ X0) != $true)) & ($true = ((in @ X2) @ ((cartprod @ X0) @ X1)))) & (dsetconstrER = $true)),
0.19/0.45	  inference(ennf_transformation,[],[f8])).
0.19/0.45	thf(f8,plain,(
0.19/0.45	  ~((dsetconstrER = $true) => ! [X0,X1,X2] : (($true = ((in @ X2) @ ((cartprod @ X0) @ X1))) => ? [X3] : (? [X4] : (($true = ((in @ X4) @ X1)) & (((kpair @ X3) @ X4) = X2)) & (((in @ X3) @ X0) = $true))))),
0.19/0.45	  inference(fool_elimination,[],[f7])).
0.19/0.45	thf(f7,plain,(
0.19/0.45	  ~(dsetconstrER => ! [X0,X1,X2] : (((in @ X2) @ ((cartprod @ X0) @ X1)) => ? [X3] : (? [X4] : (((in @ X4) @ X1) & (((kpair @ X3) @ X4) = X2)) & ((in @ X3) @ X0))))),
0.19/0.45	  inference(rectify,[],[f5])).
0.19/0.45	thf(f5,negated_conjecture,(
0.19/0.45	  ~(dsetconstrER => ! [X0,X4,X6] : (((in @ X6) @ ((cartprod @ X0) @ X4)) => ? [X2] : (? [X3] : (((in @ X3) @ X4) & (((kpair @ X2) @ X3) = X6)) & ((in @ X2) @ X0))))),
0.19/0.45	  inference(negated_conjecture,[],[f4])).
0.19/0.45	thf(f4,conjecture,(
0.19/0.45	  dsetconstrER => ! [X0,X4,X6] : (((in @ X6) @ ((cartprod @ X0) @ X4)) => ? [X2] : (? [X3] : (((in @ X3) @ X4) & (((kpair @ X2) @ X3) = X6)) & ((in @ X2) @ X0)))),
0.19/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartprodmempair1)).
0.19/0.45	thf(f37,plain,(
0.19/0.45	  ( ! [X4 : $i > $o,X5 : $i,X3 : $i] : (($true != ((in @ X5) @ ((dsetconstr @ X3) @ X4))) | ($true = (X4 @ X5))) )),
0.19/0.45	  inference(trivial_inequality_removal,[],[f36])).
0.19/0.45	thf(f36,plain,(
0.19/0.45	  ( ! [X4 : $i > $o,X5 : $i,X3 : $i] : (($true = (X4 @ X5)) | ($true != ((in @ X5) @ ((dsetconstr @ X3) @ X4))) | ($true != $true)) )),
0.19/0.45	  inference(definition_unfolding,[],[f27,f23])).
0.19/0.45	thf(f23,plain,(
0.19/0.45	  (dsetconstrER = $true)),
0.19/0.45	  inference(cnf_transformation,[],[f18])).
0.19/0.45	thf(f27,plain,(
0.19/0.45	  ( ! [X4 : $i > $o,X5 : $i,X3 : $i] : (($true = (X4 @ X5)) | ($true != ((in @ X5) @ ((dsetconstr @ X3) @ X4))) | (dsetconstrER != $true)) )),
0.19/0.45	  inference(cnf_transformation,[],[f22])).
0.19/0.45	thf(f22,plain,(
0.19/0.45	  ((dsetconstrER = $true) | (($true != (sK4 @ sK5)) & ($true = ((in @ sK5) @ ((dsetconstr @ sK3) @ sK4))))) & (! [X3,X4 : $i > $o,X5] : (($true = (X4 @ X5)) | ($true != ((in @ X5) @ ((dsetconstr @ X3) @ X4)))) | (dsetconstrER != $true))),
0.19/0.45	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f20,f21])).
0.19/0.45	thf(f21,plain,(
0.19/0.45	  ? [X0,X1 : $i > $o,X2] : (((X1 @ X2) != $true) & ($true = ((in @ X2) @ ((dsetconstr @ X0) @ X1)))) => (($true != (sK4 @ sK5)) & ($true = ((in @ sK5) @ ((dsetconstr @ sK3) @ sK4))))),
0.19/0.45	  introduced(choice_axiom,[])).
0.19/0.45	thf(f20,plain,(
0.19/0.45	  ((dsetconstrER = $true) | ? [X0,X1 : $i > $o,X2] : (((X1 @ X2) != $true) & ($true = ((in @ X2) @ ((dsetconstr @ X0) @ X1))))) & (! [X3,X4 : $i > $o,X5] : (($true = (X4 @ X5)) | ($true != ((in @ X5) @ ((dsetconstr @ X3) @ X4)))) | (dsetconstrER != $true))),
0.19/0.45	  inference(rectify,[],[f19])).
0.19/0.45	thf(f19,plain,(
0.19/0.45	  ((dsetconstrER = $true) | ? [X0,X1 : $i > $o,X2] : (((X1 @ X2) != $true) & ($true = ((in @ X2) @ ((dsetconstr @ X0) @ X1))))) & (! [X0,X1 : $i > $o,X2] : (((X1 @ X2) = $true) | ($true != ((in @ X2) @ ((dsetconstr @ X0) @ X1)))) | (dsetconstrER != $true))),
0.19/0.45	  inference(nnf_transformation,[],[f16])).
0.19/0.45	thf(f16,plain,(
0.19/0.45	  (dsetconstrER = $true) <=> ! [X0,X1 : $i > $o,X2] : (((X1 @ X2) = $true) | ($true != ((in @ X2) @ ((dsetconstr @ X0) @ X1))))),
0.19/0.45	  inference(ennf_transformation,[],[f12])).
0.19/0.45	thf(f12,plain,(
0.19/0.45	  (dsetconstrER = $true) <=> ! [X0,X1 : $i > $o,X2] : (($true = ((in @ X2) @ ((dsetconstr @ X0) @ X1))) => ((X1 @ X2) = $true))),
0.19/0.45	  inference(fool_elimination,[],[f11])).
0.19/0.45	thf(f11,plain,(
0.19/0.45	  (dsetconstrER = ! [X0,X1 : $i > $o,X2] : (((in @ X2) @ ((dsetconstr @ X0) @ (^[X3 : $i] : ((X1 @ X3))))) => (X1 @ X2)))),
0.19/0.45	  inference(rectify,[],[f1])).
0.19/0.45	thf(f1,axiom,(
0.19/0.45	  (dsetconstrER = ! [X0,X1 : $i > $o,X2] : (((in @ X2) @ ((dsetconstr @ X0) @ (^[X3 : $i] : ((X1 @ X3))))) => (X1 @ X2)))),
0.19/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrER)).
0.19/0.45	thf(f63,plain,(
0.19/0.45	  (sK2 != ((setadjoin @ ((setadjoin @ sK7) @ emptyset)) @ ((setadjoin @ ((setadjoin @ sK7) @ ((setadjoin @ sK8) @ emptyset))) @ emptyset)))),
0.19/0.45	  inference(unit_resulting_resolution,[],[f47,f51,f39])).
0.19/0.45	thf(f39,plain,(
0.19/0.45	  ( ! [X4 : $i,X3 : $i] : ((sK2 != ((setadjoin @ ((setadjoin @ X3) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ emptyset))) | ($true != ((in @ X4) @ sK1)) | ($true != ((in @ X3) @ sK0))) )),
0.19/0.45	  inference(combinator_demodulation,[],[f32])).
0.19/0.45	thf(f32,plain,(
0.19/0.45	  ( ! [X4 : $i,X3 : $i] : (($true != ((in @ X4) @ sK1)) | (sK2 != ((((sCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ setadjoin) @ ((cCOMB @ setadjoin) @ emptyset)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ setadjoin)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ setadjoin)) @ ((cCOMB @ setadjoin) @ emptyset))))) @ emptyset)) @ X3) @ X4)) | ($true != ((in @ X3) @ sK0))) )),
0.19/0.45	  inference(definition_unfolding,[],[f25,f30])).
0.19/0.45	thf(f25,plain,(
0.19/0.45	  ( ! [X4 : $i,X3 : $i] : (($true != ((in @ X4) @ sK1)) | (((kpair @ X3) @ X4) != sK2) | ($true != ((in @ X3) @ sK0))) )),
0.19/0.45	  inference(cnf_transformation,[],[f18])).
0.19/0.45	thf(f51,plain,(
0.19/0.45	  ($true = ((in @ sK8) @ sK1))),
0.19/0.45	  inference(binary_proxy_clausification,[],[f49])).
0.19/0.45	thf(f47,plain,(
0.19/0.45	  ($true = ((in @ sK7) @ sK0))),
0.19/0.45	  inference(binary_proxy_clausification,[],[f45])).
0.19/0.45	% SZS output end Proof for theBenchmark
0.19/0.45	% (19713)------------------------------
0.19/0.45	% (19713)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.19/0.45	% (19713)Termination reason: Refutation
0.19/0.45	
0.19/0.45	% (19713)Memory used [KB]: 6012
0.19/0.45	% (19713)Time elapsed: 0.072 s
0.19/0.45	% (19713)------------------------------
0.19/0.45	% (19713)------------------------------
0.19/0.45	% (19687)Success in time 0.103 s
0.19/0.46	EOF