0.00/0.04	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : vampire --mode casc -m 90000 -t %d %s
0.03/0.24	% Computer   : n007.star.cs.uiowa.edu
0.03/0.24	% Model      : x86_64 x86_64
0.03/0.24	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/0.24	% Memory     : 32218.625MB
0.03/0.24	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/0.24	% CPULimit   : 300
0.03/0.24	% DateTime   : Sat Jul 14 04:43:25 CDT 2018
0.03/0.24	% CPUTime    : 
0.03/0.24	Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem!
0.03/0.24	% remaining time: 3000 next slice time: 3
0.03/0.27	dis+1002_4_gs=on:inst=on:nm=64:nwc=1.3:sas=z3:sac=on:sfr=on:smm=off:ssnc=none:sp=occurrence:tha=off:thf=on:updr=off_1 on theBenchmark
0.07/0.29	% Refutation not found, incomplete strategy
0.07/0.29	% ------------------------------
0.07/0.29	% Version: Vampire 4.1 for CASC J8 Entry
0.07/0.29	% Termination reason: Refutation not found, incomplete strategy
0.07/0.29	
0.07/0.29	% Memory used [KB]: 511
0.07/0.29	% Time elapsed: 0.017 s
0.07/0.29	% ------------------------------
0.07/0.29	% ------------------------------
0.07/0.29	% remaining time: 2999 next slice time: 3
0.07/0.29	lrs+1_24_bs=unit_only:fsr=off:gs=on:gsem=on:inst=on:nm=64:nwc=3:sas=z3:stl=30:sac=on:sdd=large:sfr=on:ssfp=4000:ssfq=2.0:ssnc=none:sp=reverse_arity:thf=on:updr=off_1 on theBenchmark
0.42/0.69	% (19859)Time limit reached!
0.42/0.69	% ------------------------------
0.42/0.69	% Version: Vampire 4.1 for CASC J8 Entry
0.42/0.69	% Termination reason: Time limit
0.42/0.69	% Termination phase: Saturation
0.42/0.69	
0.42/0.69	% Memory used [KB]: 8187
0.42/0.69	% Time elapsed: 0.400 s
0.42/0.69	% ------------------------------
0.42/0.69	% ------------------------------
0.42/0.69	% remaining time: 2995 next slice time: 5
0.42/0.70	lrs+11_4:1_cond=on:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.7:sas=z3:stl=30:sdd=large:ssfp=100000:ssfq=1.2:smm=off:ssnc=none:tha=off_3 on theBenchmark
0.51/0.71	% Refutation not found, incomplete strategy
0.51/0.71	% ------------------------------
0.51/0.71	% Version: Vampire 4.1 for CASC J8 Entry
0.51/0.71	% Termination reason: Refutation not found, incomplete strategy
0.51/0.71	
0.51/0.71	% Memory used [KB]: 511
0.51/0.71	% Time elapsed: 0.014 s
0.51/0.71	% ------------------------------
0.51/0.71	% ------------------------------
0.51/0.71	% remaining time: 2995 next slice time: 9
0.51/0.71	dis+10_2:1_gs=on:gsem=off:irw=on:lcm=reverse:lma=on:nm=2:nwc=1.3:nicw=on:sas=z3:sac=on:sdd=off:sfr=on:ssfp=1000:ssfq=1.1:smm=sco:ssnc=none:sp=occurrence:tha=off:updr=off_7 on theBenchmark
0.51/0.72	% Refutation not found, incomplete strategy
0.51/0.72	% ------------------------------
0.51/0.72	% Version: Vampire 4.1 for CASC J8 Entry
0.51/0.72	% Termination reason: Refutation not found, incomplete strategy
0.51/0.72	
0.51/0.72	% Memory used [KB]: 639
0.51/0.72	% Time elapsed: 0.013 s
0.51/0.72	% ------------------------------
0.51/0.72	% ------------------------------
0.51/0.72	% remaining time: 2995 next slice time: 10
0.51/0.73	dis+11_2:1_bd=off:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:ssac=none:sdd=large:sfr=on:ssfp=40000:ssfq=1.0:ssnc=none:sp=reverse_arity:tha=off:updr=off_9 on theBenchmark
0.51/0.74	% Refutation not found, incomplete strategy
0.51/0.74	% ------------------------------
0.51/0.74	% Version: Vampire 4.1 for CASC J8 Entry
0.51/0.74	% Termination reason: Refutation not found, incomplete strategy
0.51/0.74	
0.51/0.74	% Memory used [KB]: 639
0.51/0.74	% Time elapsed: 0.013 s
0.51/0.74	% ------------------------------
0.51/0.74	% ------------------------------
0.51/0.74	% remaining time: 2995 next slice time: 40
0.51/0.74	lrs+10_1_cond=on:fsr=off:gs=on:gsem=on:inst=on:lwlo=on:nm=64:nwc=2:stl=30:sdd=large:sfr=on:ssfp=1000:ssfq=1.2:smm=sco:ssnc=none:updr=off_38 on theBenchmark
4.64/4.84	% (19863)Time limit reached!
4.64/4.84	% ------------------------------
4.64/4.84	% Version: Vampire 4.1 for CASC J8 Entry
4.64/4.84	% Termination reason: Time limit
4.64/4.84	% Termination phase: Saturation
4.64/4.84	
4.64/4.84	% Memory used [KB]: 108868
4.64/4.84	% Time elapsed: 4.100 s
4.64/4.84	% ------------------------------
4.64/4.84	% ------------------------------
4.64/4.85	% remaining time: 2953 next slice time: 10
4.64/4.85	lrs+1010_2:1_bd=off:cond=on:er=filter:gs=on:gsem=on:inw=on:irw=on:lma=on:nm=0:nwc=1.3:sas=z3:stl=30:sdd=large:sfr=on:ssfp=1000:ssfq=2.0:smm=off:ssnc=none:sp=reverse_arity:updr=off_8 on theBenchmark
5.74/5.95	% (19864)Time limit reached!
5.74/5.95	% ------------------------------
5.74/5.95	% Version: Vampire 4.1 for CASC J8 Entry
5.74/5.95	% Termination reason: Time limit
5.74/5.95	% Termination phase: Saturation
5.74/5.95	
5.74/5.95	% Memory used [KB]: 37995
5.74/5.95	% Time elapsed: 1.100 s
5.74/5.95	% ------------------------------
5.74/5.95	% ------------------------------
5.74/5.96	% remaining time: 2942 next slice time: 162
5.74/5.96	dis+1_24_bs=on:fsr=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:spl=off:sp=occurrence:urr=on_154 on theBenchmark
22.12/22.26	% (19865)Time limit reached!
22.12/22.26	% ------------------------------
22.12/22.26	% Version: Vampire 4.1 for CASC J8 Entry
22.12/22.26	% Termination reason: Time limit
22.12/22.26	% Termination phase: Saturation
22.12/22.26	
22.12/22.26	% Memory used [KB]: 320463
22.12/22.26	% Time elapsed: 16.300 s
22.12/22.26	% ------------------------------
22.12/22.26	% ------------------------------
22.12/22.29	% remaining time: 2779 next slice time: 6
22.12/22.29	lrs-11_3_bd=off:cond=on:gs=on:gsem=off:irw=on:inst=on:nm=4:nwc=3:sas=z3:stl=30:sdd=off:sfr=on:ssfp=100000:ssfq=1.4:ssnc=none:sp=occurrence:tha=off:updr=off_4 on theBenchmark
22.12/22.30	% Refutation not found, incomplete strategy
22.12/22.30	% ------------------------------
22.12/22.30	% Version: Vampire 4.1 for CASC J8 Entry
22.12/22.30	% Termination reason: Refutation not found, incomplete strategy
22.12/22.30	
22.12/22.30	% Memory used [KB]: 767
22.12/22.30	% Time elapsed: 0.014 s
22.12/22.30	% ------------------------------
22.12/22.30	% ------------------------------
22.12/22.30	% remaining time: 2779 next slice time: 6
22.12/22.31	dis+10_4_cond=on:inw=on:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:sas=z3:sos=all:sdd=large:sfr=on:ssfp=10000:ssfq=1.0:ssnc=none:sp=occurrence:tha=off:updr=off_4 on theBenchmark
22.22/22.32	% Refutation not found, incomplete strategy
22.22/22.32	% ------------------------------
22.22/22.32	% Version: Vampire 4.1 for CASC J8 Entry
22.22/22.32	% Termination reason: Refutation not found, incomplete strategy
22.22/22.32	
22.22/22.32	% Memory used [KB]: 767
22.22/22.32	% Time elapsed: 0.013 s
22.22/22.32	% ------------------------------
22.22/22.32	% ------------------------------
22.22/22.32	% remaining time: 2779 next slice time: 11
22.22/22.32	ott+1010_3:1_bs=unit_only:ccuc=small_ones:fsr=off:irw=on:nm=0:newcnf=on:nwc=1.1:nicw=on:sos=on:ssac=none:sscc=model:sdd=off:ssfp=10000:ssfq=1.4:ssnc=none:sp=reverse_arity:tha=off_10 on theBenchmark
22.22/22.32	% Refutation not found, incomplete strategy
22.22/22.32	% ------------------------------
22.22/22.32	% Version: Vampire 4.1 for CASC J8 Entry
22.22/22.32	% Termination reason: Refutation not found, incomplete strategy
22.22/22.32	
22.22/22.32	% Memory used [KB]: 767
22.22/22.32	% Time elapsed: 0.002 s
22.22/22.32	% ------------------------------
22.22/22.32	% ------------------------------
22.22/22.32	% remaining time: 2779 next slice time: 6
22.22/22.32	lrs+11_8:1_gs=on:inst=on:lcm=reverse:lma=on:nm=64:nwc=2:sas=z3:stl=30:sdd=off:sfr=on:ssfp=40000:ssfq=2.0:smm=sco:ssnc=none:sp=occurrence:updr=off_4 on theBenchmark
22.22/22.39	% Refutation found. Thanks to Tanya!
22.22/22.39	% SZS status Theorem for theBenchmark
22.22/22.39	% SZS output start Proof for theBenchmark
22.22/22.39	tff(func_def_11, type, sK0: $real).
22.22/22.39	tff(f1,conjecture,(
22.22/22.39	  ! [X0 : $real] : ($less($to_int(X0),$to_int($ceiling(X0))) => $to_real($to_int(X0)) != X0)),
22.22/22.39	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',g7)).
22.22/22.39	tff(f2,negated_conjecture,(
22.22/22.39	  ~! [X0 : $real] : ($less($to_int(X0),$to_int($ceiling(X0))) => $to_real($to_int(X0)) != X0)),
22.22/22.39	  inference(negated_conjecture,[],[f1])).
22.22/22.39	tff(f3,plain,(
22.22/22.39	  ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f4,plain,(
22.22/22.39	  ( ! [X2:$int,X0:$int,X1:$int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f6,plain,(
22.22/22.39	  ( ! [X0:$int,X1:$int] : ($sum($uminus(X1),$uminus(X0)) = $uminus($sum(X0,X1))) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f7,plain,(
22.22/22.39	  ( ! [X0:$int] : (0 = $sum(X0,$uminus(X0))) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f8,plain,(
22.22/22.39	  ( ! [X0:$int] : (~$less(X0,X0)) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f9,plain,(
22.22/22.39	  ( ! [X2:$int,X0:$int,X1:$int] : ($less(X0,X2) | ~$less(X1,X2) | ~$less(X0,X1)) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f10,plain,(
22.22/22.39	  ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f11,plain,(
22.22/22.39	  ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f12,plain,(
22.22/22.39	  ( ! [X0:$int,X1:$int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f13,plain,(
22.22/22.39	  ( ! [X0:$int] : ($uminus($uminus(X0)) = X0) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f14,plain,(
22.22/22.39	  ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f15,plain,(
22.22/22.39	  ( ! [X0:$real,X1:$real] : ($sum(X0,X1) = $sum(X1,X0)) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f16,plain,(
22.22/22.39	  ( ! [X2:$real,X0:$real,X1:$real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f17,plain,(
22.22/22.39	  ( ! [X0:$real] : ($sum(X0,0.0) = X0) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f18,plain,(
22.22/22.39	  ( ! [X0:$real,X1:$real] : ($sum($uminus(X1),$uminus(X0)) = $uminus($sum(X0,X1))) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f19,plain,(
22.22/22.39	  ( ! [X0:$real] : (0.0 = $sum(X0,$uminus(X0))) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f20,plain,(
22.22/22.39	  ( ! [X0:$real] : (~$less(X0,X0)) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f21,plain,(
22.22/22.39	  ( ! [X2:$real,X0:$real,X1:$real] : ($less(X0,X2) | ~$less(X1,X2) | ~$less(X0,X1)) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f22,plain,(
22.22/22.39	  ( ! [X0:$real,X1:$real] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f23,plain,(
22.22/22.39	  ( ! [X2:$real,X0:$real,X1:$real] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f24,plain,(
22.22/22.39	  ( ! [X0:$real,X1:$real] : ($less(X1,$sum(X0,1.0)) | $less(X0,X1)) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f25,plain,(
22.22/22.39	  ( ! [X0:$real] : ($uminus($uminus(X0)) = X0) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f27,plain,(
22.22/22.39	  ( ! [X0:$real] : ($less($ceiling(X0),$sum(X0,1.0))) )),
22.22/22.39	  introduced(theory_axiom,[])).
22.22/22.39	tff(f28,plain,(
22.22/22.39	  ? [X0 : $real] : ($to_real($to_int(X0)) = X0 & $less($to_int(X0),$to_int($ceiling(X0))))),
22.22/22.39	  inference(ennf_transformation,[],[f2])).
22.22/22.39	tff(f29,plain,(
22.22/22.39	  ? [X0 : $real] : ($to_real($to_int(X0)) = X0 & $less($to_int(X0),$to_int($ceiling(X0)))) => ($to_real($to_int(sK0)) = sK0 & $less($to_int(sK0),$to_int($ceiling(sK0))))),
22.22/22.39	  introduced(choice_axiom,[])).
22.22/22.39	tff(f30,plain,(
22.22/22.39	  $to_real($to_int(sK0)) = sK0 & $less($to_int(sK0),$to_int($ceiling(sK0)))),
22.22/22.39	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f29])).
22.22/22.39	tff(f31,plain,(
22.22/22.39	  $less($to_int(sK0),$to_int($ceiling(sK0)))),
22.22/22.39	  inference(cnf_transformation,[],[f30])).
22.22/22.39	tff(f32,plain,(
22.22/22.39	  $to_real($to_int(sK0)) = sK0),
22.22/22.39	  inference(cnf_transformation,[],[f30])).
22.22/22.39	tff(f37,plain,(
22.22/22.39	  spl1_0 <=> $to_real($to_int(sK0)) = sK0),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_0])])).
22.22/22.39	tff(f38,plain,(
22.22/22.39	  $to_real($to_int(sK0)) = sK0 | ~spl1_0),
22.22/22.39	  inference(AVATAR_component_clause,[],[f37])).
22.22/22.39	tff(f39,plain,(
22.22/22.39	  spl1_0),
22.22/22.39	  inference(AVATAR_split_clause,[],[f32,f37])).
22.22/22.39	tff(f44,plain,(
22.22/22.39	  spl1_2 <=> $less($to_int(sK0),$to_int($ceiling(sK0)))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_2])])).
22.22/22.39	tff(f45,plain,(
22.22/22.39	  $less($to_int(sK0),$to_int($ceiling(sK0))) | ~spl1_2),
22.22/22.39	  inference(AVATAR_component_clause,[],[f44])).
22.22/22.39	tff(f46,plain,(
22.22/22.39	  spl1_2),
22.22/22.39	  inference(AVATAR_split_clause,[],[f31,f44])).
22.22/22.39	tff(f85,plain,(
22.22/22.39	  ( ! [X0:$int] : (0 = $sum($uminus(X0),X0)) )),
22.22/22.39	  inference(superposition,[],[f7,f13])).
22.22/22.39	tff(f92,plain,(
22.22/22.39	  ( ! [X0:$real] : (0.0 = $sum($uminus(X0),X0)) )),
22.22/22.39	  inference(superposition,[],[f19,f25])).
22.22/22.39	tff(f122,plain,(
22.22/22.39	  ( ! [X0:$real] : ($sum(0.0,X0) = X0) )),
22.22/22.39	  inference(superposition,[],[f15,f17])).
22.22/22.39	tff(f125,plain,(
22.22/22.39	  ( ! [X1:$real] : ($less($ceiling(X1),$sum(1.0,X1))) )),
22.22/22.39	  inference(superposition,[],[f27,f15])).
22.22/22.39	tff(f139,plain,(
22.22/22.39	  ( ! [X0:$int,X1:$int] : ($less(X1,$sum(1,X0)) | $less(X0,X1)) )),
22.22/22.39	  inference(superposition,[],[f12,f3])).
22.22/22.39	tff(f144,plain,(
22.22/22.39	  $less($to_int($ceiling(sK0)),$sum(0,1)) | $less(0,$to_int($ceiling(sK0)))),
22.22/22.39	  inference(Instantiation,[],[f12])).
22.22/22.39	tff(f145,plain,(
22.22/22.39	  $less($to_int($ceiling(sK0)),$sum(1,1)) | $less(1,$to_int($ceiling(sK0)))),
22.22/22.39	  inference(Instantiation,[],[f12])).
22.22/22.39	tff(f146,plain,(
22.22/22.39	  $less($to_int($ceiling(sK0)),$sum(1,1)) | $less(1,$to_int($ceiling(sK0)))),
22.22/22.39	  inference(Instantiation,[],[f12])).
22.22/22.39	tff(f147,plain,(
22.22/22.39	  $less($to_int(sK0),$sum(1,1)) | $less(1,$to_int(sK0))),
22.22/22.39	  inference(Instantiation,[],[f12])).
22.22/22.39	tff(f150,plain,(
22.22/22.39	  $less($to_int(sK0),2) | $less(1,$to_int(sK0))),
22.22/22.39	  inference(evaluation,[],[f147])).
22.22/22.39	tff(f151,plain,(
22.22/22.39	  $less($to_int($ceiling(sK0)),2) | $less(1,$to_int($ceiling(sK0)))),
22.22/22.39	  inference(evaluation,[],[f146])).
22.22/22.39	tff(f152,plain,(
22.22/22.39	  $less($to_int($ceiling(sK0)),2) | $less(1,$to_int($ceiling(sK0)))),
22.22/22.39	  inference(evaluation,[],[f145])).
22.22/22.39	tff(f153,plain,(
22.22/22.39	  $less($to_int($ceiling(sK0)),1) | $less(0,$to_int($ceiling(sK0)))),
22.22/22.39	  inference(evaluation,[],[f144])).
22.22/22.39	tff(f158,plain,(
22.22/22.39	  spl1_4 <=> $less(0,$to_int($ceiling(sK0)))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_4])])).
22.22/22.39	tff(f159,plain,(
22.22/22.39	  $less(0,$to_int($ceiling(sK0))) | ~spl1_4),
22.22/22.39	  inference(AVATAR_component_clause,[],[f158])).
22.22/22.39	tff(f161,plain,(
22.22/22.39	  spl1_7 <=> ~$less($to_int($ceiling(sK0)),1)),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_7])])).
22.22/22.39	tff(f162,plain,(
22.22/22.39	  ~$less($to_int($ceiling(sK0)),1) | ~spl1_7),
22.22/22.39	  inference(AVATAR_component_clause,[],[f161])).
22.22/22.39	tff(f164,plain,(
22.22/22.39	  spl1_6 <=> $less($to_int($ceiling(sK0)),1)),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_6])])).
22.22/22.39	tff(f166,plain,(
22.22/22.39	  spl1_4 | spl1_6),
22.22/22.39	  inference(AVATAR_split_clause,[],[f153,f164,f158])).
22.22/22.39	tff(f168,plain,(
22.22/22.39	  spl1_9 <=> ~$less(1,$to_int($ceiling(sK0)))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_9])])).
22.22/22.39	tff(f171,plain,(
22.22/22.39	  spl1_8 <=> $less(1,$to_int($ceiling(sK0)))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_8])])).
22.22/22.39	tff(f172,plain,(
22.22/22.39	  $less(1,$to_int($ceiling(sK0))) | ~spl1_8),
22.22/22.39	  inference(AVATAR_component_clause,[],[f171])).
22.22/22.39	tff(f174,plain,(
22.22/22.39	  spl1_11 <=> ~$less($to_int($ceiling(sK0)),2)),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_11])])).
22.22/22.39	tff(f175,plain,(
22.22/22.39	  ~$less($to_int($ceiling(sK0)),2) | ~spl1_11),
22.22/22.39	  inference(AVATAR_component_clause,[],[f174])).
22.22/22.39	tff(f177,plain,(
22.22/22.39	  spl1_10 <=> $less($to_int($ceiling(sK0)),2)),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_10])])).
22.22/22.39	tff(f179,plain,(
22.22/22.39	  spl1_8 | spl1_10),
22.22/22.39	  inference(AVATAR_split_clause,[],[f152,f177,f171])).
22.22/22.39	tff(f180,plain,(
22.22/22.39	  spl1_8 | spl1_10),
22.22/22.39	  inference(AVATAR_split_clause,[],[f151,f177,f171])).
22.22/22.39	tff(f182,plain,(
22.22/22.39	  spl1_13 <=> ~$less(1,$to_int(sK0))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_13])])).
22.22/22.39	tff(f185,plain,(
22.22/22.39	  spl1_12 <=> $less(1,$to_int(sK0))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_12])])).
22.22/22.39	tff(f191,plain,(
22.22/22.39	  spl1_14 <=> $less($to_int(sK0),2)),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_14])])).
22.22/22.39	tff(f192,plain,(
22.22/22.39	  $less($to_int(sK0),2) | ~spl1_14),
22.22/22.39	  inference(AVATAR_component_clause,[],[f191])).
22.22/22.39	tff(f193,plain,(
22.22/22.39	  spl1_12 | spl1_14),
22.22/22.39	  inference(AVATAR_split_clause,[],[f150,f191,f185])).
22.22/22.39	tff(f194,plain,(
22.22/22.39	  ~$less($to_int($ceiling(sK0)),$sum($to_int(sK0),1)) | ~spl1_2),
22.22/22.39	  inference(resolution,[],[f14,f45])).
22.22/22.39	tff(f199,plain,(
22.22/22.39	  ~$less(0,$to_int($ceiling(sK0))) | ~$less($to_int($ceiling(sK0)),$sum(0,1))),
22.22/22.39	  inference(Instantiation,[],[f14])).
22.22/22.39	tff(f200,plain,(
22.22/22.39	  ~$less(1,$to_int($ceiling(sK0))) | ~$less($to_int($ceiling(sK0)),$sum(1,1))),
22.22/22.39	  inference(Instantiation,[],[f14])).
22.22/22.39	tff(f201,plain,(
22.22/22.39	  ~$less(1,$to_int($ceiling(sK0))) | ~$less($to_int($ceiling(sK0)),$sum(1,1))),
22.22/22.39	  inference(Instantiation,[],[f14])).
22.22/22.39	tff(f202,plain,(
22.22/22.39	  ~$less(1,$to_int(sK0)) | ~$less($to_int(sK0),$sum(1,1))),
22.22/22.39	  inference(Instantiation,[],[f14])).
22.22/22.39	tff(f205,plain,(
22.22/22.39	  ~$less(1,$to_int(sK0)) | ~$less($to_int(sK0),2)),
22.22/22.39	  inference(evaluation,[],[f202])).
22.22/22.39	tff(f206,plain,(
22.22/22.39	  ~$less(1,$to_int($ceiling(sK0))) | ~$less($to_int($ceiling(sK0)),2)),
22.22/22.39	  inference(evaluation,[],[f201])).
22.22/22.39	tff(f207,plain,(
22.22/22.39	  ~$less(1,$to_int($ceiling(sK0))) | ~$less($to_int($ceiling(sK0)),2)),
22.22/22.39	  inference(evaluation,[],[f200])).
22.22/22.39	tff(f208,plain,(
22.22/22.39	  ~$less(0,$to_int($ceiling(sK0))) | ~$less($to_int($ceiling(sK0)),1)),
22.22/22.39	  inference(evaluation,[],[f199])).
22.22/22.39	tff(f209,plain,(
22.22/22.39	  ~$less($to_int($ceiling(sK0)),$sum(1,$to_int(sK0))) | ~spl1_2),
22.22/22.39	  inference(forward_demodulation,[],[f194,f3])).
22.22/22.39	tff(f214,plain,(
22.22/22.39	  spl1_17 <=> ~$less($to_int($ceiling(sK0)),$sum(1,$to_int(sK0)))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_17])])).
22.22/22.39	tff(f215,plain,(
22.22/22.39	  ~$less($to_int($ceiling(sK0)),$sum(1,$to_int(sK0))) | ~spl1_17),
22.22/22.39	  inference(AVATAR_component_clause,[],[f214])).
22.22/22.39	tff(f216,plain,(
22.22/22.39	  ~spl1_17 | ~spl1_2),
22.22/22.39	  inference(AVATAR_split_clause,[],[f209,f44,f214])).
22.22/22.39	tff(f217,plain,(
22.22/22.39	  ~$less($to_int($ceiling(sK0)),1) | ~spl1_4),
22.22/22.39	  inference(subsumption_resolution,[],[f208,f159])).
22.22/22.39	tff(f218,plain,(
22.22/22.39	  ~spl1_7 | ~spl1_4),
22.22/22.39	  inference(AVATAR_split_clause,[],[f217,f158,f161])).
22.22/22.39	tff(f219,plain,(
22.22/22.39	  ~$less($to_int($ceiling(sK0)),2) | ~spl1_8),
22.22/22.39	  inference(subsumption_resolution,[],[f207,f172])).
22.22/22.39	tff(f220,plain,(
22.22/22.39	  ~spl1_11 | ~spl1_8),
22.22/22.39	  inference(AVATAR_split_clause,[],[f219,f171,f174])).
22.22/22.39	tff(f221,plain,(
22.22/22.39	  ~$less($to_int($ceiling(sK0)),2) | ~spl1_8),
22.22/22.39	  inference(subsumption_resolution,[],[f206,f172])).
22.22/22.39	tff(f222,plain,(
22.22/22.39	  ~spl1_11 | ~spl1_8),
22.22/22.39	  inference(AVATAR_split_clause,[],[f221,f171,f174])).
22.22/22.39	tff(f223,plain,(
22.22/22.39	  ~$less(1,$to_int(sK0)) | ~spl1_14),
22.22/22.39	  inference(subsumption_resolution,[],[f205,f192])).
22.22/22.39	tff(f224,plain,(
22.22/22.39	  ~spl1_13 | ~spl1_14),
22.22/22.39	  inference(AVATAR_split_clause,[],[f223,f191,f182])).
22.22/22.39	tff(f227,plain,(
22.22/22.39	  ( ! [X0:$real,X1:$real] : ($less(X1,$sum(1.0,X0)) | $less(X0,X1)) )),
22.22/22.39	  inference(superposition,[],[f24,f15])).
22.22/22.39	tff(f233,plain,(
22.22/22.39	  $less($ceiling(sK0),$sum(0.0,1.0)) | $less(0.0,$ceiling(sK0))),
22.22/22.39	  inference(Instantiation,[],[f24])).
22.22/22.39	tff(f234,plain,(
22.22/22.39	  $less($ceiling(sK0),$sum(1.0,1.0)) | $less(1.0,$ceiling(sK0))),
22.22/22.39	  inference(Instantiation,[],[f24])).
22.22/22.39	tff(f235,plain,(
22.22/22.39	  $less($ceiling(sK0),$sum(1.0,1.0)) | $less(1.0,$ceiling(sK0))),
22.22/22.39	  inference(Instantiation,[],[f24])).
22.22/22.39	tff(f236,plain,(
22.22/22.39	  $less(sK0,$sum(1.0,1.0)) | $less(1.0,sK0)),
22.22/22.39	  inference(Instantiation,[],[f24])).
22.22/22.39	tff(f237,plain,(
22.22/22.39	  $less($to_real($to_int(sK0)),$sum(1.0,1.0)) | $less(1.0,$to_real($to_int(sK0)))),
22.22/22.39	  inference(Instantiation,[],[f24])).
22.22/22.39	tff(f240,plain,(
22.22/22.39	  $less($to_real($to_int(sK0)),2.0) | $less(1.0,$to_real($to_int(sK0)))),
22.22/22.39	  inference(evaluation,[],[f237])).
22.22/22.39	tff(f241,plain,(
22.22/22.39	  $less(sK0,2.0) | $less(1.0,sK0)),
22.22/22.39	  inference(evaluation,[],[f236])).
22.22/22.39	tff(f242,plain,(
22.22/22.39	  $less($ceiling(sK0),2.0) | $less(1.0,$ceiling(sK0))),
22.22/22.39	  inference(evaluation,[],[f235])).
22.22/22.39	tff(f243,plain,(
22.22/22.39	  $less($ceiling(sK0),2.0) | $less(1.0,$ceiling(sK0))),
22.22/22.39	  inference(evaluation,[],[f234])).
22.22/22.39	tff(f244,plain,(
22.22/22.39	  $less($ceiling(sK0),1.0) | $less(0.0,$ceiling(sK0))),
22.22/22.39	  inference(evaluation,[],[f233])).
22.22/22.39	tff(f249,plain,(
22.22/22.39	  spl1_18 <=> $less(0.0,$ceiling(sK0))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_18])])).
22.22/22.39	tff(f250,plain,(
22.22/22.39	  $less(0.0,$ceiling(sK0)) | ~spl1_18),
22.22/22.39	  inference(AVATAR_component_clause,[],[f249])).
22.22/22.39	tff(f252,plain,(
22.22/22.39	  spl1_21 <=> ~$less($ceiling(sK0),1.0)),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_21])])).
22.22/22.39	tff(f253,plain,(
22.22/22.39	  ~$less($ceiling(sK0),1.0) | ~spl1_21),
22.22/22.39	  inference(AVATAR_component_clause,[],[f252])).
22.22/22.39	tff(f255,plain,(
22.22/22.39	  spl1_20 <=> $less($ceiling(sK0),1.0)),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_20])])).
22.22/22.39	tff(f257,plain,(
22.22/22.39	  spl1_18 | spl1_20),
22.22/22.39	  inference(AVATAR_split_clause,[],[f244,f255,f249])).
22.22/22.39	tff(f262,plain,(
22.22/22.39	  spl1_22 <=> $less(1.0,$ceiling(sK0))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_22])])).
22.22/22.39	tff(f263,plain,(
22.22/22.39	  $less(1.0,$ceiling(sK0)) | ~spl1_22),
22.22/22.39	  inference(AVATAR_component_clause,[],[f262])).
22.22/22.39	tff(f268,plain,(
22.22/22.39	  spl1_24 <=> $less($ceiling(sK0),2.0)),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_24])])).
22.22/22.39	tff(f270,plain,(
22.22/22.39	  spl1_22 | spl1_24),
22.22/22.39	  inference(AVATAR_split_clause,[],[f243,f268,f262])).
22.22/22.39	tff(f271,plain,(
22.22/22.39	  spl1_22 | spl1_24),
22.22/22.39	  inference(AVATAR_split_clause,[],[f242,f268,f262])).
22.22/22.39	tff(f276,plain,(
22.22/22.39	  spl1_26 <=> $less(1.0,sK0)),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_26])])).
22.22/22.39	tff(f282,plain,(
22.22/22.39	  spl1_28 <=> $less(sK0,2.0)),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_28])])).
22.22/22.39	tff(f283,plain,(
22.22/22.39	  $less(sK0,2.0) | ~spl1_28),
22.22/22.39	  inference(AVATAR_component_clause,[],[f282])).
22.22/22.39	tff(f284,plain,(
22.22/22.39	  spl1_26 | spl1_28),
22.22/22.39	  inference(AVATAR_split_clause,[],[f241,f282,f276])).
22.22/22.39	tff(f285,plain,(
22.22/22.39	  $less(sK0,2.0) | $less(1.0,$to_real($to_int(sK0))) | ~spl1_0),
22.22/22.39	  inference(forward_demodulation,[],[f240,f38])).
22.22/22.39	tff(f286,plain,(
22.22/22.39	  $less(1.0,sK0) | $less(sK0,2.0) | ~spl1_0),
22.22/22.39	  inference(forward_demodulation,[],[f285,f38])).
22.22/22.39	tff(f287,plain,(
22.22/22.39	  spl1_28 | spl1_26 | ~spl1_0),
22.22/22.39	  inference(AVATAR_split_clause,[],[f286,f37,f276,f282])).
22.22/22.39	tff(f288,plain,(
22.22/22.39	  ( ! [X0:$int,X1:$int] : (~$less(X1,X0) | ~$less(X0,X1)) )),
22.22/22.39	  inference(resolution,[],[f9,f8])).
22.22/22.39	tff(f305,plain,(
22.22/22.39	  ( ! [X2:$int,X1:$int] : ($less(X2,X1) | X1 = X2 | ~$less(X2,$sum(X1,1))) )),
22.22/22.39	  inference(resolution,[],[f10,f14])).
22.22/22.39	tff(f319,plain,(
22.22/22.39	  ( ! [X0:$real,X1:$real] : (~$less(X1,X0) | ~$less(X0,X1)) )),
22.22/22.39	  inference(resolution,[],[f21,f20])).
22.22/22.39	tff(f355,plain,(
22.22/22.39	  ( ! [X0:$int,X1:$int] : ($sum(X0,$uminus(X1)) = $uminus($sum(X1,$uminus(X0)))) )),
22.22/22.39	  inference(superposition,[],[f6,f13])).
22.22/22.39	tff(f366,plain,(
22.22/22.39	  $sum($uminus($to_int($ceiling(sK0))),$uminus(1)) = $uminus($sum(1,$to_int($ceiling(sK0))))),
22.22/22.39	  inference(Instantiation,[],[f6])).
22.22/22.39	tff(f367,plain,(
22.22/22.39	  $sum($uminus($to_int($ceiling(sK0))),$uminus(1)) = $uminus($sum(1,$to_int($ceiling(sK0))))),
22.22/22.39	  inference(Instantiation,[],[f6])).
22.22/22.39	tff(f368,plain,(
22.22/22.39	  $sum($uminus($to_int(sK0)),$uminus(1)) = $uminus($sum(1,$to_int(sK0)))),
22.22/22.39	  inference(Instantiation,[],[f6])).
22.22/22.39	tff(f373,plain,(
22.22/22.39	  $sum($uminus($to_int(sK0)),-1) = $uminus($sum(1,$to_int(sK0)))),
22.22/22.39	  inference(evaluation,[],[f368])).
22.22/22.39	tff(f374,plain,(
22.22/22.39	  $sum($uminus($to_int($ceiling(sK0))),-1) = $uminus($sum(1,$to_int($ceiling(sK0))))),
22.22/22.39	  inference(evaluation,[],[f367])).
22.22/22.39	tff(f375,plain,(
22.22/22.39	  $sum($uminus($to_int($ceiling(sK0))),-1) = $uminus($sum(1,$to_int($ceiling(sK0))))),
22.22/22.39	  inference(evaluation,[],[f366])).
22.22/22.39	tff(f382,plain,(
22.22/22.39	  $sum(-1,$uminus($to_int($ceiling(sK0)))) = $uminus($sum(1,$to_int($ceiling(sK0))))),
22.22/22.39	  inference(forward_demodulation,[],[f375,f3])).
22.22/22.39	tff(f387,plain,(
22.22/22.39	  spl1_30 <=> $sum(-1,$uminus($to_int($ceiling(sK0)))) = $uminus($sum(1,$to_int($ceiling(sK0))))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_30])])).
22.22/22.39	tff(f389,plain,(
22.22/22.39	  spl1_30),
22.22/22.39	  inference(AVATAR_split_clause,[],[f382,f387])).
22.22/22.39	tff(f390,plain,(
22.22/22.39	  $sum(-1,$uminus($to_int($ceiling(sK0)))) = $uminus($sum(1,$to_int($ceiling(sK0))))),
22.22/22.39	  inference(forward_demodulation,[],[f374,f3])).
22.22/22.39	tff(f391,plain,(
22.22/22.39	  spl1_30),
22.22/22.39	  inference(AVATAR_split_clause,[],[f390,f387])).
22.22/22.39	tff(f392,plain,(
22.22/22.39	  $sum(-1,$uminus($to_int(sK0))) = $uminus($sum(1,$to_int(sK0)))),
22.22/22.39	  inference(forward_demodulation,[],[f373,f3])).
22.22/22.39	tff(f397,plain,(
22.22/22.39	  spl1_32 <=> $sum(-1,$uminus($to_int(sK0))) = $uminus($sum(1,$to_int(sK0)))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_32])])).
22.22/22.39	tff(f398,plain,(
22.22/22.39	  $sum(-1,$uminus($to_int(sK0))) = $uminus($sum(1,$to_int(sK0))) | ~spl1_32),
22.22/22.39	  inference(AVATAR_component_clause,[],[f397])).
22.22/22.39	tff(f399,plain,(
22.22/22.39	  spl1_32),
22.22/22.39	  inference(AVATAR_split_clause,[],[f392,f397])).
22.22/22.39	tff(f400,plain,(
22.22/22.39	  ( ! [X0:$int] : ($less($sum($to_int(sK0),X0),$sum($to_int($ceiling(sK0)),X0))) ) | ~spl1_2),
22.22/22.39	  inference(resolution,[],[f11,f45])).
22.22/22.39	tff(f407,plain,(
22.22/22.39	  ~$less(0,$to_int($ceiling(sK0))) | $less($sum(0,$to_int($ceiling(sK0))),$sum($to_int($ceiling(sK0)),$to_int($ceiling(sK0))))),
22.22/22.39	  inference(Instantiation,[],[f11])).
22.22/22.39	tff(f417,plain,(
22.22/22.39	  ~$less(0,$to_int($ceiling(sK0))) | $less($to_int($ceiling(sK0)),$sum($to_int($ceiling(sK0)),$to_int($ceiling(sK0))))),
22.22/22.39	  inference(evaluation,[],[f407])).
22.22/22.39	tff(f419,plain,(
22.22/22.39	  $less($to_int($ceiling(sK0)),$sum($to_int($ceiling(sK0)),$to_int($ceiling(sK0)))) | ~spl1_4),
22.22/22.39	  inference(subsumption_resolution,[],[f417,f159])).
22.22/22.39	tff(f424,plain,(
22.22/22.39	  spl1_34 <=> $less($to_int($ceiling(sK0)),$sum($to_int($ceiling(sK0)),$to_int($ceiling(sK0))))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_34])])).
22.22/22.39	tff(f426,plain,(
22.22/22.39	  spl1_34 | ~spl1_4),
22.22/22.39	  inference(AVATAR_split_clause,[],[f419,f158,f424])).
22.22/22.39	tff(f427,plain,(
22.22/22.39	  ( ! [X0:$real,X1:$real] : ($sum(X0,$uminus(X1)) = $uminus($sum(X1,$uminus(X0)))) )),
22.22/22.39	  inference(superposition,[],[f18,f25])).
22.22/22.39	tff(f439,plain,(
22.22/22.39	  $sum($uminus($ceiling(sK0)),$uminus(1.0)) = $uminus($sum(1.0,$ceiling(sK0)))),
22.22/22.39	  inference(Instantiation,[],[f18])).
22.22/22.39	tff(f440,plain,(
22.22/22.39	  $sum($uminus($ceiling(sK0)),$uminus(1.0)) = $uminus($sum(1.0,$ceiling(sK0)))),
22.22/22.39	  inference(Instantiation,[],[f18])).
22.22/22.39	tff(f441,plain,(
22.22/22.39	  $sum($uminus(sK0),$uminus(1.0)) = $uminus($sum(1.0,sK0))),
22.22/22.39	  inference(Instantiation,[],[f18])).
22.22/22.39	tff(f442,plain,(
22.22/22.39	  $sum($uminus($to_real($to_int(sK0))),$uminus(1.0)) = $uminus($sum(1.0,$to_real($to_int(sK0))))),
22.22/22.39	  inference(Instantiation,[],[f18])).
22.22/22.39	tff(f447,plain,(
22.22/22.39	  $sum($uminus($to_real($to_int(sK0))),-1.0) = $uminus($sum(1.0,$to_real($to_int(sK0))))),
22.22/22.39	  inference(evaluation,[],[f442])).
22.22/22.39	tff(f448,plain,(
22.22/22.39	  $sum($uminus(sK0),-1.0) = $uminus($sum(1.0,sK0))),
22.22/22.39	  inference(evaluation,[],[f441])).
22.22/22.39	tff(f449,plain,(
22.22/22.39	  $sum($uminus($ceiling(sK0)),-1.0) = $uminus($sum(1.0,$ceiling(sK0)))),
22.22/22.39	  inference(evaluation,[],[f440])).
22.22/22.39	tff(f450,plain,(
22.22/22.39	  $sum($uminus($ceiling(sK0)),-1.0) = $uminus($sum(1.0,$ceiling(sK0)))),
22.22/22.39	  inference(evaluation,[],[f439])).
22.22/22.39	tff(f457,plain,(
22.22/22.39	  $sum(-1.0,$uminus($ceiling(sK0))) = $uminus($sum(1.0,$ceiling(sK0)))),
22.22/22.39	  inference(forward_demodulation,[],[f450,f15])).
22.22/22.39	tff(f462,plain,(
22.22/22.39	  spl1_36 <=> $sum(-1.0,$uminus($ceiling(sK0))) = $uminus($sum(1.0,$ceiling(sK0)))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_36])])).
22.22/22.39	tff(f464,plain,(
22.22/22.39	  spl1_36),
22.22/22.39	  inference(AVATAR_split_clause,[],[f457,f462])).
22.22/22.39	tff(f465,plain,(
22.22/22.39	  $sum(-1.0,$uminus($ceiling(sK0))) = $uminus($sum(1.0,$ceiling(sK0)))),
22.22/22.39	  inference(forward_demodulation,[],[f449,f15])).
22.22/22.39	tff(f466,plain,(
22.22/22.39	  spl1_36),
22.22/22.39	  inference(AVATAR_split_clause,[],[f465,f462])).
22.22/22.39	tff(f467,plain,(
22.22/22.39	  $sum(-1.0,$uminus(sK0)) = $uminus($sum(1.0,sK0))),
22.22/22.39	  inference(forward_demodulation,[],[f448,f15])).
22.22/22.39	tff(f472,plain,(
22.22/22.39	  spl1_38 <=> $sum(-1.0,$uminus(sK0)) = $uminus($sum(1.0,sK0))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_38])])).
22.22/22.39	tff(f473,plain,(
22.22/22.39	  $sum(-1.0,$uminus(sK0)) = $uminus($sum(1.0,sK0)) | ~spl1_38),
22.22/22.39	  inference(AVATAR_component_clause,[],[f472])).
22.22/22.39	tff(f474,plain,(
22.22/22.39	  spl1_38),
22.22/22.39	  inference(AVATAR_split_clause,[],[f467,f472])).
22.22/22.39	tff(f475,plain,(
22.22/22.39	  $sum($uminus(sK0),-1.0) = $uminus($sum(1.0,sK0)) | ~spl1_0),
22.22/22.39	  inference(forward_demodulation,[],[f447,f38])).
22.22/22.39	tff(f476,plain,(
22.22/22.39	  $sum(-1.0,$uminus(sK0)) = $uminus($sum(1.0,sK0)) | ~spl1_0),
22.22/22.39	  inference(forward_demodulation,[],[f475,f15])).
22.22/22.39	tff(f477,plain,(
22.22/22.39	  spl1_38 | ~spl1_0),
22.22/22.39	  inference(AVATAR_split_clause,[],[f476,f37,f472])).
22.22/22.39	tff(f478,plain,(
22.22/22.39	  ( ! [X0:$real,X1:$real] : ($less($sum($ceiling(X0),X1),$sum($sum(X0,1.0),X1))) )),
22.22/22.39	  inference(resolution,[],[f23,f27])).
22.22/22.39	tff(f499,plain,(
22.22/22.39	  ( ! [X0:$real,X1:$real] : ($less($sum($ceiling(X0),X1),$sum(X0,$sum(1.0,X1)))) )),
22.22/22.39	  inference(forward_demodulation,[],[f478,f16])).
22.22/22.39	tff(f502,plain,(
22.22/22.39	  ( ! [X2:$int,X3:$int] : ($sum(0,X3) = $sum(X2,$sum($uminus(X2),X3))) )),
22.22/22.39	  inference(superposition,[],[f4,f7])).
22.22/22.39	tff(f509,plain,(
22.22/22.39	  ( ! [X8:$int,X7:$int,X9:$int] : ($sum(X7,$sum(X8,X9)) = $sum(X9,$sum(X7,X8))) )),
22.22/22.39	  inference(superposition,[],[f4,f3])).
22.22/22.39	tff(f523,plain,(
22.22/22.39	  $sum(1,$sum(1,$to_int($ceiling(sK0)))) = $sum($sum(1,1),$to_int($ceiling(sK0)))),
22.22/22.39	  inference(Instantiation,[],[f4])).
22.22/22.39	tff(f524,plain,(
22.22/22.39	  $sum(1,$sum(1,$to_int($ceiling(sK0)))) = $sum($sum(1,1),$to_int($ceiling(sK0)))),
22.22/22.39	  inference(Instantiation,[],[f4])).
22.22/22.39	tff(f525,plain,(
22.22/22.39	  $sum(1,$sum(1,$to_int(sK0))) = $sum($sum(1,1),$to_int(sK0))),
22.22/22.39	  inference(Instantiation,[],[f4])).
22.22/22.39	tff(f530,plain,(
22.22/22.39	  $sum(2,$to_int(sK0)) = $sum(1,$sum(1,$to_int(sK0)))),
22.22/22.39	  inference(evaluation,[],[f525])).
22.22/22.39	tff(f531,plain,(
22.22/22.39	  $sum(2,$to_int($ceiling(sK0))) = $sum(1,$sum(1,$to_int($ceiling(sK0))))),
22.22/22.39	  inference(evaluation,[],[f524])).
22.22/22.39	tff(f532,plain,(
22.22/22.39	  $sum(2,$to_int($ceiling(sK0))) = $sum(1,$sum(1,$to_int($ceiling(sK0))))),
22.22/22.39	  inference(evaluation,[],[f523])).
22.22/22.39	tff(f537,plain,(
22.22/22.39	  ( ! [X2:$int,X3:$int] : ($sum(X2,$sum($uminus(X2),X3)) = X3) )),
22.22/22.39	  inference(evaluation,[],[f502])).
22.22/22.39	tff(f545,plain,(
22.22/22.39	  spl1_40 <=> $sum(2,$to_int($ceiling(sK0))) = $sum(1,$sum(1,$to_int($ceiling(sK0))))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_40])])).
22.22/22.39	tff(f547,plain,(
22.22/22.39	  spl1_40),
22.22/22.39	  inference(AVATAR_split_clause,[],[f532,f545])).
22.22/22.39	tff(f548,plain,(
22.22/22.39	  spl1_40),
22.22/22.39	  inference(AVATAR_split_clause,[],[f531,f545])).
22.22/22.39	tff(f553,plain,(
22.22/22.39	  spl1_42 <=> $sum(2,$to_int(sK0)) = $sum(1,$sum(1,$to_int(sK0)))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_42])])).
22.22/22.39	tff(f554,plain,(
22.22/22.39	  $sum(2,$to_int(sK0)) = $sum(1,$sum(1,$to_int(sK0))) | ~spl1_42),
22.22/22.39	  inference(AVATAR_component_clause,[],[f553])).
22.22/22.39	tff(f555,plain,(
22.22/22.39	  spl1_42),
22.22/22.39	  inference(AVATAR_split_clause,[],[f530,f553])).
22.22/22.39	tff(f557,plain,(
22.22/22.39	  ( ! [X2:$real,X3:$real] : ($sum(0.0,X3) = $sum(X2,$sum($uminus(X2),X3))) )),
22.22/22.39	  inference(superposition,[],[f16,f19])).
22.22/22.39	tff(f581,plain,(
22.22/22.39	  $sum(1.0,$sum(1.0,$ceiling(sK0))) = $sum($sum(1.0,1.0),$ceiling(sK0))),
22.22/22.39	  inference(Instantiation,[],[f16])).
22.22/22.39	tff(f582,plain,(
22.22/22.39	  $sum(1.0,$sum(1.0,$ceiling(sK0))) = $sum($sum(1.0,1.0),$ceiling(sK0))),
22.22/22.39	  inference(Instantiation,[],[f16])).
22.22/22.39	tff(f583,plain,(
22.22/22.39	  $sum(1.0,$sum(1.0,sK0)) = $sum($sum(1.0,1.0),sK0)),
22.22/22.39	  inference(Instantiation,[],[f16])).
22.22/22.39	tff(f584,plain,(
22.22/22.39	  $sum(1.0,$sum(1.0,$to_real($to_int(sK0)))) = $sum($sum(1.0,1.0),$to_real($to_int(sK0)))),
22.22/22.39	  inference(Instantiation,[],[f16])).
22.22/22.39	tff(f589,plain,(
22.22/22.39	  $sum(2.0,$to_real($to_int(sK0))) = $sum(1.0,$sum(1.0,$to_real($to_int(sK0))))),
22.22/22.39	  inference(evaluation,[],[f584])).
22.22/22.39	tff(f590,plain,(
22.22/22.39	  $sum(2.0,sK0) = $sum(1.0,$sum(1.0,sK0))),
22.22/22.39	  inference(evaluation,[],[f583])).
22.22/22.39	tff(f591,plain,(
22.22/22.39	  $sum(2.0,$ceiling(sK0)) = $sum(1.0,$sum(1.0,$ceiling(sK0)))),
22.22/22.39	  inference(evaluation,[],[f582])).
22.22/22.39	tff(f592,plain,(
22.22/22.39	  $sum(2.0,$ceiling(sK0)) = $sum(1.0,$sum(1.0,$ceiling(sK0)))),
22.22/22.39	  inference(evaluation,[],[f581])).
22.22/22.39	tff(f594,plain,(
22.22/22.39	  ( ! [X2:$real,X3:$real] : ($sum(X2,$sum($uminus(X2),X3)) = X3) )),
22.22/22.39	  inference(forward_demodulation,[],[f557,f122])).
22.22/22.39	tff(f601,plain,(
22.22/22.39	  spl1_44 <=> $sum(2.0,$ceiling(sK0)) = $sum(1.0,$sum(1.0,$ceiling(sK0)))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_44])])).
22.22/22.39	tff(f603,plain,(
22.22/22.39	  spl1_44),
22.22/22.39	  inference(AVATAR_split_clause,[],[f592,f601])).
22.22/22.39	tff(f604,plain,(
22.22/22.39	  spl1_44),
22.22/22.39	  inference(AVATAR_split_clause,[],[f591,f601])).
22.22/22.39	tff(f609,plain,(
22.22/22.39	  spl1_46 <=> $sum(2.0,sK0) = $sum(1.0,$sum(1.0,sK0))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_46])])).
22.22/22.39	tff(f610,plain,(
22.22/22.39	  $sum(2.0,sK0) = $sum(1.0,$sum(1.0,sK0)) | ~spl1_46),
22.22/22.39	  inference(AVATAR_component_clause,[],[f609])).
22.22/22.39	tff(f611,plain,(
22.22/22.39	  spl1_46),
22.22/22.39	  inference(AVATAR_split_clause,[],[f590,f609])).
22.22/22.39	tff(f612,plain,(
22.22/22.39	  $sum(2.0,sK0) = $sum(1.0,$sum(1.0,sK0)) | ~spl1_0),
22.22/22.39	  inference(forward_demodulation,[],[f589,f38])).
22.22/22.39	tff(f613,plain,(
22.22/22.39	  spl1_46 | ~spl1_0),
22.22/22.39	  inference(AVATAR_split_clause,[],[f612,f37,f609])).
22.22/22.39	tff(f630,plain,(
22.22/22.39	  $less(0,$sum($to_int($ceiling(sK0)),$uminus($to_int(sK0)))) | ~spl1_2),
22.22/22.39	  inference(superposition,[],[f400,f7])).
22.22/22.39	tff(f634,plain,(
22.22/22.39	  $less($sum($to_int(sK0),$uminus($to_int($ceiling(sK0)))),0) | ~spl1_2),
22.22/22.39	  inference(superposition,[],[f400,f7])).
22.22/22.39	tff(f651,plain,(
22.22/22.39	  spl1_48 <=> $less(0,$sum($to_int($ceiling(sK0)),$uminus($to_int(sK0))))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_48])])).
22.22/22.39	tff(f652,plain,(
22.22/22.39	  $less(0,$sum($to_int($ceiling(sK0)),$uminus($to_int(sK0)))) | ~spl1_48),
22.22/22.39	  inference(AVATAR_component_clause,[],[f651])).
22.22/22.39	tff(f653,plain,(
22.22/22.39	  spl1_48 | ~spl1_2),
22.22/22.39	  inference(AVATAR_split_clause,[],[f630,f44,f651])).
22.22/22.39	tff(f658,plain,(
22.22/22.39	  spl1_50 <=> $less($sum($to_int(sK0),$uminus($to_int($ceiling(sK0)))),0)),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_50])])).
22.22/22.39	tff(f659,plain,(
22.22/22.39	  $less($sum($to_int(sK0),$uminus($to_int($ceiling(sK0)))),0) | ~spl1_50),
22.22/22.39	  inference(AVATAR_component_clause,[],[f658])).
22.22/22.39	tff(f660,plain,(
22.22/22.39	  spl1_50 | ~spl1_2),
22.22/22.39	  inference(AVATAR_split_clause,[],[f634,f44,f658])).
22.22/22.39	tff(f690,plain,(
22.22/22.39	  ~$less($sum($to_int($ceiling(sK0)),$uminus($to_int(sK0))),$sum(0,1)) | ~spl1_48),
22.22/22.39	  inference(resolution,[],[f652,f14])).
22.22/22.39	tff(f691,plain,(
22.22/22.39	  ~$less($sum($to_int($ceiling(sK0)),$uminus($to_int(sK0))),1) | ~spl1_48),
22.22/22.39	  inference(evaluation,[],[f690])).
22.22/22.39	tff(f698,plain,(
22.22/22.39	  spl1_53 <=> ~$less($sum($to_int($ceiling(sK0)),$uminus($to_int(sK0))),1)),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_53])])).
22.22/22.39	tff(f699,plain,(
22.22/22.39	  ~$less($sum($to_int($ceiling(sK0)),$uminus($to_int(sK0))),1) | ~spl1_53),
22.22/22.39	  inference(AVATAR_component_clause,[],[f698])).
22.22/22.39	tff(f700,plain,(
22.22/22.39	  ~spl1_53 | ~spl1_48),
22.22/22.39	  inference(AVATAR_split_clause,[],[f691,f651,f698])).
22.22/22.39	tff(f701,plain,(
22.22/22.39	  $less(1,$to_int($ceiling(sK0))) | $to_int($ceiling(sK0)) = 1 | ~spl1_7),
22.22/22.39	  inference(resolution,[],[f162,f10])).
22.22/22.39	tff(f702,plain,(
22.22/22.39	  $less(1,$to_int($ceiling(sK0))) | $to_int($ceiling(sK0)) = 1 | ~spl1_7),
22.22/22.39	  inference(resolution,[],[f162,f10])).
22.22/22.39	tff(f707,plain,(
22.22/22.39	  $less(2,$to_int($ceiling(sK0))) | $to_int($ceiling(sK0)) = 2 | ~spl1_11),
22.22/22.39	  inference(resolution,[],[f175,f10])).
22.22/22.39	tff(f708,plain,(
22.22/22.39	  $less(2,$to_int($ceiling(sK0))) | $to_int($ceiling(sK0)) = 2 | ~spl1_11),
22.22/22.39	  inference(resolution,[],[f175,f10])).
22.22/22.39	tff(f714,plain,(
22.22/22.39	  spl1_54 <=> $to_int($ceiling(sK0)) = 2),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_54])])).
22.22/22.39	tff(f720,plain,(
22.22/22.39	  spl1_56 <=> $less(2,$to_int($ceiling(sK0)))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_56])])).
22.22/22.39	tff(f722,plain,(
22.22/22.39	  spl1_54 | spl1_56 | spl1_11),
22.22/22.39	  inference(AVATAR_split_clause,[],[f707,f174,f720,f714])).
22.22/22.39	tff(f723,plain,(
22.22/22.39	  spl1_54 | spl1_56 | spl1_11),
22.22/22.39	  inference(AVATAR_split_clause,[],[f708,f174,f720,f714])).
22.22/22.39	tff(f808,plain,(
22.22/22.39	  ~$less(0,$sum($sum($to_int(sK0),$uminus($to_int($ceiling(sK0)))),1)) | ~spl1_50),
22.22/22.39	  inference(resolution,[],[f659,f14])).
22.22/22.39	tff(f811,plain,(
22.22/22.39	  ~$less(0,$sum(1,$sum($to_int(sK0),$uminus($to_int($ceiling(sK0)))))) | ~spl1_50),
22.22/22.39	  inference(forward_demodulation,[],[f808,f3])).
22.22/22.39	tff(f816,plain,(
22.22/22.39	  spl1_59 <=> ~$less(0,$sum(1,$sum($to_int(sK0),$uminus($to_int($ceiling(sK0))))))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_59])])).
22.22/22.39	tff(f817,plain,(
22.22/22.39	  ~$less(0,$sum(1,$sum($to_int(sK0),$uminus($to_int($ceiling(sK0)))))) | ~spl1_59),
22.22/22.39	  inference(AVATAR_component_clause,[],[f816])).
22.22/22.39	tff(f818,plain,(
22.22/22.39	  ~spl1_59 | ~spl1_50),
22.22/22.39	  inference(AVATAR_split_clause,[],[f811,f658,f816])).
22.22/22.39	tff(f824,plain,(
22.22/22.39	  ~$less($to_int($ceiling(sK0)),$to_int(sK0)) | ~spl1_2),
22.22/22.39	  inference(resolution,[],[f288,f45])).
22.22/22.39	tff(f825,plain,(
22.22/22.39	  ~$less(2,$to_int(sK0)) | ~spl1_14),
22.22/22.39	  inference(resolution,[],[f288,f192])).
22.22/22.39	tff(f826,plain,(
22.22/22.39	  ~$less($to_int($ceiling(sK0)),0) | ~spl1_4),
22.22/22.39	  inference(resolution,[],[f288,f159])).
22.22/22.39	tff(f827,plain,(
22.22/22.39	  ~$less($sum($to_int($ceiling(sK0)),$uminus($to_int(sK0))),0) | ~spl1_48),
22.22/22.39	  inference(resolution,[],[f288,f652])).
22.22/22.39	tff(f830,plain,(
22.22/22.39	  ~$less(0,$sum($to_int(sK0),$uminus($to_int($ceiling(sK0))))) | ~spl1_50),
22.22/22.39	  inference(resolution,[],[f288,f659])).
22.22/22.39	tff(f845,plain,(
22.22/22.39	  spl1_61 <=> ~$less($to_int($ceiling(sK0)),$to_int(sK0))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_61])])).
22.22/22.39	tff(f847,plain,(
22.22/22.39	  ~spl1_61 | ~spl1_2),
22.22/22.39	  inference(AVATAR_split_clause,[],[f824,f44,f845])).
22.22/22.39	tff(f852,plain,(
22.22/22.39	  spl1_63 <=> ~$less(2,$to_int(sK0))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_63])])).
22.22/22.39	tff(f854,plain,(
22.22/22.39	  ~spl1_63 | ~spl1_14),
22.22/22.39	  inference(AVATAR_split_clause,[],[f825,f191,f852])).
22.22/22.39	tff(f859,plain,(
22.22/22.39	  spl1_65 <=> ~$less($to_int($ceiling(sK0)),0)),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_65])])).
22.22/22.39	tff(f861,plain,(
22.22/22.39	  ~spl1_65 | ~spl1_4),
22.22/22.39	  inference(AVATAR_split_clause,[],[f826,f158,f859])).
22.22/22.39	tff(f866,plain,(
22.22/22.39	  spl1_67 <=> ~$less($sum($to_int($ceiling(sK0)),$uminus($to_int(sK0))),0)),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_67])])).
22.22/22.39	tff(f867,plain,(
22.22/22.39	  ~$less($sum($to_int($ceiling(sK0)),$uminus($to_int(sK0))),0) | ~spl1_67),
22.22/22.39	  inference(AVATAR_component_clause,[],[f866])).
22.22/22.39	tff(f868,plain,(
22.22/22.39	  ~spl1_67 | ~spl1_48),
22.22/22.39	  inference(AVATAR_split_clause,[],[f827,f651,f866])).
22.22/22.39	tff(f873,plain,(
22.22/22.39	  spl1_69 <=> ~$less(0,$sum($to_int(sK0),$uminus($to_int($ceiling(sK0)))))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_69])])).
22.22/22.39	tff(f875,plain,(
22.22/22.39	  ~spl1_69 | ~spl1_50),
22.22/22.39	  inference(AVATAR_split_clause,[],[f830,f658,f873])).
22.22/22.39	tff(f879,plain,(
22.22/22.39	  ~$less($ceiling(sK0),0.0) | ~spl1_18),
22.22/22.39	  inference(resolution,[],[f319,f250])).
22.22/22.39	tff(f880,plain,(
22.22/22.39	  ~$less($ceiling(sK0),1.0) | ~spl1_22),
22.22/22.39	  inference(resolution,[],[f319,f263])).
22.22/22.39	tff(f886,plain,(
22.22/22.39	  ~$less(2.0,sK0) | ~spl1_28),
22.22/22.39	  inference(resolution,[],[f319,f283])).
22.22/22.39	tff(f903,plain,(
22.22/22.39	  spl1_71 <=> ~$less($ceiling(sK0),0.0)),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_71])])).
22.22/22.39	tff(f905,plain,(
22.22/22.39	  ~spl1_71 | ~spl1_18),
22.22/22.39	  inference(AVATAR_split_clause,[],[f879,f249,f903])).
22.22/22.39	tff(f906,plain,(
22.22/22.39	  ~spl1_21 | ~spl1_22),
22.22/22.39	  inference(AVATAR_split_clause,[],[f880,f262,f252])).
22.22/22.39	tff(f911,plain,(
22.22/22.39	  spl1_73 <=> ~$less(2.0,sK0)),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_73])])).
22.22/22.39	tff(f913,plain,(
22.22/22.39	  ~spl1_73 | ~spl1_28),
22.22/22.39	  inference(AVATAR_split_clause,[],[f886,f282,f911])).
22.22/22.39	tff(f914,plain,(
22.22/22.39	  $less(1.0,$ceiling(sK0)) | $ceiling(sK0) = 1.0 | ~spl1_21),
22.22/22.39	  inference(resolution,[],[f253,f22])).
22.22/22.39	tff(f915,plain,(
22.22/22.39	  $less(1.0,$ceiling(sK0)) | $ceiling(sK0) = 1.0 | ~spl1_21),
22.22/22.39	  inference(resolution,[],[f253,f22])).
22.22/22.39	tff(f951,plain,(
22.22/22.39	  $less($to_int($ceiling(sK0)),$sum(1,1)) | $less(1,$to_int($ceiling(sK0)))),
22.22/22.39	  inference(Instantiation,[],[f139])).
22.22/22.39	tff(f952,plain,(
22.22/22.39	  $less($to_int($ceiling(sK0)),$sum(1,1)) | $less(1,$to_int($ceiling(sK0)))),
22.22/22.39	  inference(Instantiation,[],[f139])).
22.22/22.39	tff(f957,plain,(
22.22/22.39	  $less($to_int($ceiling(sK0)),2) | $less(1,$to_int($ceiling(sK0)))),
22.22/22.39	  inference(evaluation,[],[f952])).
22.22/22.39	tff(f958,plain,(
22.22/22.39	  $less($to_int($ceiling(sK0)),2) | $less(1,$to_int($ceiling(sK0)))),
22.22/22.39	  inference(evaluation,[],[f951])).
22.22/22.39	tff(f976,plain,(
22.22/22.39	  $less($ceiling(sK0),$sum(1.0,1.0)) | $less(1.0,$ceiling(sK0))),
22.22/22.39	  inference(Instantiation,[],[f227])).
22.22/22.39	tff(f977,plain,(
22.22/22.39	  $less($ceiling(sK0),$sum(1.0,1.0)) | $less(1.0,$ceiling(sK0))),
22.22/22.39	  inference(Instantiation,[],[f227])).
22.22/22.39	tff(f984,plain,(
22.22/22.39	  $less($ceiling(sK0),2.0) | $less(1.0,$ceiling(sK0))),
22.22/22.39	  inference(evaluation,[],[f977])).
22.22/22.39	tff(f985,plain,(
22.22/22.39	  $less($ceiling(sK0),2.0) | $less(1.0,$ceiling(sK0))),
22.22/22.39	  inference(evaluation,[],[f976])).
22.22/22.39	tff(f1015,plain,(
22.22/22.39	  $to_int($ceiling(sK0)) = $sum(1,$sum($uminus(1),$to_int($ceiling(sK0))))),
22.22/22.39	  inference(Instantiation,[],[f537])).
22.22/22.39	tff(f1016,plain,(
22.22/22.39	  $to_int($ceiling(sK0)) = $sum(1,$sum($uminus(1),$to_int($ceiling(sK0))))),
22.22/22.39	  inference(Instantiation,[],[f537])).
22.22/22.39	tff(f1017,plain,(
22.22/22.39	  $to_int(sK0) = $sum(1,$sum($uminus(1),$to_int(sK0)))),
22.22/22.39	  inference(Instantiation,[],[f537])).
22.22/22.39	tff(f1024,plain,(
22.22/22.39	  $to_int(sK0) = $sum(1,$sum(-1,$to_int(sK0)))),
22.22/22.39	  inference(evaluation,[],[f1017])).
22.22/22.39	tff(f1025,plain,(
22.22/22.39	  $to_int($ceiling(sK0)) = $sum(1,$sum(-1,$to_int($ceiling(sK0))))),
22.22/22.39	  inference(evaluation,[],[f1016])).
22.22/22.39	tff(f1026,plain,(
22.22/22.39	  $to_int($ceiling(sK0)) = $sum(1,$sum(-1,$to_int($ceiling(sK0))))),
22.22/22.39	  inference(evaluation,[],[f1015])).
22.22/22.39	tff(f1039,plain,(
22.22/22.39	  spl1_74 <=> $to_int($ceiling(sK0)) = $sum(1,$sum(-1,$to_int($ceiling(sK0))))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_74])])).
22.22/22.39	tff(f1041,plain,(
22.22/22.39	  spl1_74),
22.22/22.39	  inference(AVATAR_split_clause,[],[f1026,f1039])).
22.22/22.39	tff(f1042,plain,(
22.22/22.39	  spl1_74),
22.22/22.39	  inference(AVATAR_split_clause,[],[f1025,f1039])).
22.22/22.39	tff(f1047,plain,(
22.22/22.39	  spl1_76 <=> $to_int(sK0) = $sum(1,$sum(-1,$to_int(sK0)))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_76])])).
22.22/22.39	tff(f1049,plain,(
22.22/22.39	  spl1_76),
22.22/22.39	  inference(AVATAR_split_clause,[],[f1024,f1047])).
22.22/22.39	tff(f1072,plain,(
22.22/22.39	  $ceiling(sK0) = $sum(1.0,$sum($uminus(1.0),$ceiling(sK0)))),
22.22/22.39	  inference(Instantiation,[],[f594])).
22.22/22.39	tff(f1073,plain,(
22.22/22.39	  $ceiling(sK0) = $sum(1.0,$sum($uminus(1.0),$ceiling(sK0)))),
22.22/22.39	  inference(Instantiation,[],[f594])).
22.22/22.39	tff(f1074,plain,(
22.22/22.39	  $sum(1.0,$sum($uminus(1.0),sK0)) = sK0),
22.22/22.39	  inference(Instantiation,[],[f594])).
22.22/22.39	tff(f1075,plain,(
22.22/22.39	  $to_real($to_int(sK0)) = $sum(1.0,$sum($uminus(1.0),$to_real($to_int(sK0))))),
22.22/22.39	  inference(Instantiation,[],[f594])).
22.22/22.39	tff(f1082,plain,(
22.22/22.39	  $to_real($to_int(sK0)) = $sum(1.0,$sum(-1.0,$to_real($to_int(sK0))))),
22.22/22.39	  inference(evaluation,[],[f1075])).
22.22/22.39	tff(f1083,plain,(
22.22/22.39	  $sum(1.0,$sum(-1.0,sK0)) = sK0),
22.22/22.39	  inference(evaluation,[],[f1074])).
22.22/22.39	tff(f1084,plain,(
22.22/22.39	  $ceiling(sK0) = $sum(1.0,$sum(-1.0,$ceiling(sK0)))),
22.22/22.39	  inference(evaluation,[],[f1073])).
22.22/22.39	tff(f1085,plain,(
22.22/22.39	  $ceiling(sK0) = $sum(1.0,$sum(-1.0,$ceiling(sK0)))),
22.22/22.39	  inference(evaluation,[],[f1072])).
22.22/22.39	tff(f1099,plain,(
22.22/22.39	  spl1_78 <=> $ceiling(sK0) = $sum(1.0,$sum(-1.0,$ceiling(sK0)))),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_78])])).
22.22/22.39	tff(f1101,plain,(
22.22/22.39	  spl1_78),
22.22/22.39	  inference(AVATAR_split_clause,[],[f1085,f1099])).
22.22/22.39	tff(f1102,plain,(
22.22/22.39	  spl1_78),
22.22/22.39	  inference(AVATAR_split_clause,[],[f1084,f1099])).
22.22/22.39	tff(f1107,plain,(
22.22/22.39	  spl1_80 <=> $sum(1.0,$sum(-1.0,sK0)) = sK0),
22.22/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_80])])).
22.22/22.39	tff(f1109,plain,(
22.22/22.39	  spl1_80),
22.22/22.39	  inference(AVATAR_split_clause,[],[f1083,f1107])).
22.22/22.39	tff(f1110,plain,(
22.22/22.39	  $sum(1.0,$sum(-1.0,sK0)) = sK0 | ~spl1_0),
22.32/22.39	  inference(forward_demodulation,[],[f1082,f38])).
22.32/22.39	tff(f1111,plain,(
22.32/22.39	  spl1_80 | ~spl1_0),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1110,f37,f1107])).
22.32/22.39	tff(f1113,plain,(
22.32/22.39	  0.0 = $sum($sum(-1.0,$uminus(sK0)),$sum(1.0,sK0)) | ~spl1_38),
22.32/22.39	  inference(superposition,[],[f92,f473])).
22.32/22.39	tff(f1116,plain,(
22.32/22.39	  0.0 = $sum($sum(1.0,sK0),$sum(-1.0,$uminus(sK0))) | ~spl1_38),
22.32/22.39	  inference(superposition,[],[f19,f473])).
22.32/22.39	tff(f1117,plain,(
22.32/22.39	  $sum(1.0,sK0) = $uminus($sum(-1.0,$uminus(sK0))) | ~spl1_38),
22.32/22.39	  inference(superposition,[],[f25,f473])).
22.32/22.39	tff(f1123,plain,(
22.32/22.39	  spl1_82 <=> 0.0 = $sum($sum(-1.0,$uminus(sK0)),$sum(1.0,sK0))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_82])])).
22.32/22.39	tff(f1125,plain,(
22.32/22.39	  spl1_82 | ~spl1_38),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1113,f472,f1123])).
22.32/22.39	tff(f1131,plain,(
22.32/22.39	  spl1_84 <=> 0.0 = $sum($sum(1.0,sK0),$sum(-1.0,$uminus(sK0)))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_84])])).
22.32/22.39	tff(f1133,plain,(
22.32/22.39	  spl1_84 | ~spl1_38),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1116,f472,f1131])).
22.32/22.39	tff(f1138,plain,(
22.32/22.39	  spl1_86 <=> $sum(1.0,sK0) = $uminus($sum(-1.0,$uminus(sK0)))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_86])])).
22.32/22.39	tff(f1140,plain,(
22.32/22.39	  spl1_86 | ~spl1_38),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1117,f472,f1138])).
22.32/22.39	tff(f1142,plain,(
22.32/22.39	  $less($ceiling($sum(1.0,sK0)),$sum(2.0,sK0)) | ~spl1_46),
22.32/22.39	  inference(superposition,[],[f125,f610])).
22.32/22.39	tff(f1148,plain,(
22.32/22.39	  spl1_88 <=> $less($ceiling($sum(1.0,sK0)),$sum(2.0,sK0))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_88])])).
22.32/22.39	tff(f1150,plain,(
22.32/22.39	  spl1_88 | ~spl1_46),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1142,f609,f1148])).
22.32/22.39	tff(f1153,plain,(
22.32/22.39	  spl1_8 | spl1_10),
22.32/22.39	  inference(AVATAR_split_clause,[],[f957,f177,f171])).
22.32/22.39	tff(f1154,plain,(
22.32/22.39	  spl1_8 | spl1_10),
22.32/22.39	  inference(AVATAR_split_clause,[],[f958,f177,f171])).
22.32/22.39	tff(f1159,plain,(
22.32/22.39	  spl1_90 <=> $to_int($ceiling(sK0)) = 1),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_90])])).
22.32/22.39	tff(f1161,plain,(
22.32/22.39	  spl1_90 | spl1_8 | spl1_7),
22.32/22.39	  inference(AVATAR_split_clause,[],[f702,f161,f171,f1159])).
22.32/22.39	tff(f1162,plain,(
22.32/22.39	  spl1_90 | spl1_8 | spl1_7),
22.32/22.39	  inference(AVATAR_split_clause,[],[f701,f161,f171,f1159])).
22.32/22.39	tff(f1163,plain,(
22.32/22.39	  ~spl1_11 | ~spl1_9),
22.32/22.39	  inference(AVATAR_split_clause,[],[f206,f168,f174])).
22.32/22.39	tff(f1164,plain,(
22.32/22.39	  ~spl1_11 | ~spl1_9),
22.32/22.39	  inference(AVATAR_split_clause,[],[f207,f168,f174])).
22.32/22.39	tff(f1165,plain,(
22.32/22.39	  spl1_22 | spl1_24),
22.32/22.39	  inference(AVATAR_split_clause,[],[f984,f268,f262])).
22.32/22.39	tff(f1166,plain,(
22.32/22.39	  spl1_22 | spl1_24),
22.32/22.39	  inference(AVATAR_split_clause,[],[f985,f268,f262])).
22.32/22.39	tff(f1171,plain,(
22.32/22.39	  spl1_92 <=> $ceiling(sK0) = 1.0),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_92])])).
22.32/22.39	tff(f1172,plain,(
22.32/22.39	  $ceiling(sK0) = 1.0 | ~spl1_92),
22.32/22.39	  inference(AVATAR_component_clause,[],[f1171])).
22.32/22.39	tff(f1173,plain,(
22.32/22.39	  spl1_92 | spl1_22 | spl1_21),
22.32/22.39	  inference(AVATAR_split_clause,[],[f915,f252,f262,f1171])).
22.32/22.39	tff(f1174,plain,(
22.32/22.39	  spl1_92 | spl1_22 | spl1_21),
22.32/22.39	  inference(AVATAR_split_clause,[],[f914,f252,f262,f1171])).
22.32/22.39	tff(f1175,plain,(
22.32/22.39	  $less($to_int(sK0),$to_int(1.0)) | (~spl1_2 | ~spl1_92)),
22.32/22.39	  inference(backward_demodulation,[],[f1172,f45])).
22.32/22.39	tff(f1180,plain,(
22.32/22.39	  ~$less($to_int(1.0),$sum(1,$to_int(sK0))) | (~spl1_17 | ~spl1_92)),
22.32/22.39	  inference(backward_demodulation,[],[f1172,f215])).
22.32/22.39	tff(f1185,plain,(
22.32/22.39	  ( ! [X0:$int] : ($less($sum($to_int(sK0),X0),$sum($to_int(1.0),X0))) ) | (~spl1_2 | ~spl1_92)),
22.32/22.39	  inference(backward_demodulation,[],[f1172,f400])).
22.32/22.39	tff(f1195,plain,(
22.32/22.39	  $less(0,$sum($to_int(1.0),$uminus($to_int(sK0)))) | (~spl1_48 | ~spl1_92)),
22.32/22.39	  inference(backward_demodulation,[],[f1172,f652])).
22.32/22.39	tff(f1196,plain,(
22.32/22.39	  $less($sum($to_int(sK0),$uminus($to_int(1.0))),0) | (~spl1_50 | ~spl1_92)),
22.32/22.39	  inference(backward_demodulation,[],[f1172,f659])).
22.32/22.39	tff(f1199,plain,(
22.32/22.39	  ~$less($sum($to_int(1.0),$uminus($to_int(sK0))),1) | (~spl1_53 | ~spl1_92)),
22.32/22.39	  inference(backward_demodulation,[],[f1172,f699])).
22.32/22.39	tff(f1202,plain,(
22.32/22.39	  ~$less(0,$sum(1,$sum($to_int(sK0),$uminus($to_int(1.0))))) | (~spl1_59 | ~spl1_92)),
22.32/22.39	  inference(backward_demodulation,[],[f1172,f817])).
22.32/22.39	tff(f1206,plain,(
22.32/22.39	  ~$less($sum($to_int(1.0),$uminus($to_int(sK0))),0) | (~spl1_67 | ~spl1_92)),
22.32/22.39	  inference(backward_demodulation,[],[f1172,f867])).
22.32/22.39	tff(f1220,plain,(
22.32/22.39	  ~$less($uminus($to_int(sK0)),$uminus(1)) | (~spl1_67 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1206])).
22.32/22.39	tff(f1221,plain,(
22.32/22.39	  ~$less($uminus($to_int(sK0)),-1) | (~spl1_67 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1220])).
22.32/22.39	tff(f1224,plain,(
22.32/22.39	  ~$less(0,$sum(1,$sum($to_int(sK0),$uminus(1)))) | (~spl1_59 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1202])).
22.32/22.39	tff(f1225,plain,(
22.32/22.39	  ~$less($sum($uminus(1),1),$to_int(sK0)) | (~spl1_59 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1224])).
22.32/22.39	tff(f1226,plain,(
22.32/22.39	  ~$less($sum(-1,1),$to_int(sK0)) | (~spl1_59 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1225])).
22.32/22.39	tff(f1227,plain,(
22.32/22.39	  ~$less(0,$to_int(sK0)) | (~spl1_59 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1226])).
22.32/22.39	tff(f1231,plain,(
22.32/22.39	  ~$less($uminus($to_int(sK0)),$sum(1,-1)) | (~spl1_53 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1199])).
22.32/22.39	tff(f1232,plain,(
22.32/22.39	  ~$less($uminus($to_int(sK0)),0) | (~spl1_53 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1231])).
22.32/22.39	tff(f1235,plain,(
22.32/22.39	  $less($sum($to_int(sK0),$uminus(1)),0) | (~spl1_50 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1196])).
22.32/22.39	tff(f1236,plain,(
22.32/22.39	  $less($to_int(sK0),$uminus(-1)) | (~spl1_50 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1235])).
22.32/22.39	tff(f1237,plain,(
22.32/22.39	  $less($to_int(sK0),1) | (~spl1_50 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1236])).
22.32/22.39	tff(f1238,plain,(
22.32/22.39	  $less($uminus(1),$uminus($to_int(sK0))) | (~spl1_48 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1195])).
22.32/22.39	tff(f1239,plain,(
22.32/22.39	  $less(-1,$uminus($to_int(sK0))) | (~spl1_48 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1238])).
22.32/22.39	tff(f1249,plain,(
22.32/22.39	  ( ! [X0:$int] : ($less($sum($to_int(sK0),X0),$sum(1,X0))) ) | (~spl1_2 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1185])).
22.32/22.39	tff(f1252,plain,(
22.32/22.39	  ~$less($sum(1,-1),$to_int(sK0)) | (~spl1_17 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1180])).
22.32/22.39	tff(f1253,plain,(
22.32/22.39	  ~$less(0,$to_int(sK0)) | (~spl1_17 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1252])).
22.32/22.39	tff(f1254,plain,(
22.32/22.39	  $less($to_int(sK0),1) | (~spl1_2 | ~spl1_92)),
22.32/22.39	  inference(evaluation,[],[f1175])).
22.32/22.39	tff(f1259,plain,(
22.32/22.39	  spl1_94 <=> $less($to_int(sK0),1)),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_94])])).
22.32/22.39	tff(f1261,plain,(
22.32/22.39	  spl1_94 | ~spl1_2 | ~spl1_92),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1254,f1171,f44,f1259])).
22.32/22.39	tff(f1266,plain,(
22.32/22.39	  spl1_97 <=> ~$less(0,$to_int(sK0))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_97])])).
22.32/22.39	tff(f1267,plain,(
22.32/22.39	  ~$less(0,$to_int(sK0)) | ~spl1_97),
22.32/22.39	  inference(AVATAR_component_clause,[],[f1266])).
22.32/22.39	tff(f1268,plain,(
22.32/22.39	  ~spl1_97 | spl1_17 | ~spl1_92),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1253,f1171,f214,f1266])).
22.32/22.39	tff(f1273,plain,(
22.32/22.39	  spl1_98 <=> $less(-1,$uminus($to_int(sK0)))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_98])])).
22.32/22.39	tff(f1275,plain,(
22.32/22.39	  spl1_98 | ~spl1_48 | ~spl1_92),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1239,f1171,f651,f1273])).
22.32/22.39	tff(f1276,plain,(
22.32/22.39	  spl1_94 | ~spl1_50 | ~spl1_92),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1237,f1171,f658,f1259])).
22.32/22.39	tff(f1281,plain,(
22.32/22.39	  spl1_101 <=> ~$less($uminus($to_int(sK0)),0)),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_101])])).
22.32/22.39	tff(f1282,plain,(
22.32/22.39	  ~$less($uminus($to_int(sK0)),0) | ~spl1_101),
22.32/22.39	  inference(AVATAR_component_clause,[],[f1281])).
22.32/22.39	tff(f1283,plain,(
22.32/22.39	  ~spl1_101 | spl1_53 | ~spl1_92),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1232,f1171,f698,f1281])).
22.32/22.39	tff(f1285,plain,(
22.32/22.39	  ~spl1_97 | spl1_59 | ~spl1_92),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1227,f1171,f816,f1266])).
22.32/22.39	tff(f1290,plain,(
22.32/22.39	  spl1_103 <=> ~$less($uminus($to_int(sK0)),-1)),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_103])])).
22.32/22.39	tff(f1292,plain,(
22.32/22.39	  ~spl1_103 | spl1_67 | ~spl1_92),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1221,f1171,f866,f1290])).
22.32/22.39	tff(f1378,plain,(
22.32/22.39	  $sum(1,$uminus($to_int(sK0))) = $uminus($sum($to_int(sK0),$uminus(1)))),
22.32/22.39	  inference(Instantiation,[],[f355])).
22.32/22.39	tff(f1385,plain,(
22.32/22.39	  $sum(1,$uminus($to_int(sK0))) = $uminus($sum($to_int(sK0),-1))),
22.32/22.39	  inference(evaluation,[],[f1378])).
22.32/22.39	tff(f1406,plain,(
22.32/22.39	  $sum(1,$uminus($to_int(sK0))) = $uminus($sum(-1,$to_int(sK0)))),
22.32/22.39	  inference(forward_demodulation,[],[f1385,f3])).
22.32/22.39	tff(f1411,plain,(
22.32/22.39	  spl1_104 <=> $sum(1,$uminus($to_int(sK0))) = $uminus($sum(-1,$to_int(sK0)))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_104])])).
22.32/22.39	tff(f1413,plain,(
22.32/22.39	  spl1_104),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1406,f1411])).
22.32/22.39	tff(f1563,plain,(
22.32/22.39	  $sum(1.0,$uminus(sK0)) = $uminus($sum(sK0,$uminus(1.0)))),
22.32/22.39	  inference(Instantiation,[],[f427])).
22.32/22.39	tff(f1564,plain,(
22.32/22.39	  $sum(1.0,$uminus($to_real($to_int(sK0)))) = $uminus($sum($to_real($to_int(sK0)),$uminus(1.0)))),
22.32/22.39	  inference(Instantiation,[],[f427])).
22.32/22.39	tff(f1571,plain,(
22.32/22.39	  $sum(1.0,$uminus($to_real($to_int(sK0)))) = $uminus($sum($to_real($to_int(sK0)),-1.0))),
22.32/22.39	  inference(evaluation,[],[f1564])).
22.32/22.39	tff(f1572,plain,(
22.32/22.39	  $sum(1.0,$uminus(sK0)) = $uminus($sum(sK0,-1.0))),
22.32/22.39	  inference(evaluation,[],[f1563])).
22.32/22.39	tff(f1595,plain,(
22.32/22.39	  $sum(1.0,$uminus(sK0)) = $uminus($sum(-1.0,sK0))),
22.32/22.39	  inference(forward_demodulation,[],[f1572,f15])).
22.32/22.39	tff(f1600,plain,(
22.32/22.39	  spl1_106 <=> $sum(1.0,$uminus(sK0)) = $uminus($sum(-1.0,sK0))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_106])])).
22.32/22.39	tff(f1602,plain,(
22.32/22.39	  spl1_106),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1595,f1600])).
22.32/22.39	tff(f1603,plain,(
22.32/22.39	  $sum(1.0,$uminus($to_real($to_int(sK0)))) = $uminus($sum(-1.0,$to_real($to_int(sK0))))),
22.32/22.39	  inference(forward_demodulation,[],[f1571,f15])).
22.32/22.39	tff(f1604,plain,(
22.32/22.39	  $sum(1.0,$uminus(sK0)) = $uminus($sum(-1.0,sK0)) | ~spl1_0),
22.32/22.39	  inference(forward_demodulation,[],[f1603,f38])).
22.32/22.39	tff(f1605,plain,(
22.32/22.39	  spl1_106 | ~spl1_0),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1604,f37,f1600])).
22.32/22.39	tff(f1762,plain,(
22.32/22.39	  $less($sum($ceiling(1.0),sK0),$sum(2.0,sK0)) | ~spl1_46),
22.32/22.39	  inference(superposition,[],[f499,f610])).
22.32/22.39	tff(f1782,plain,(
22.32/22.39	  $less($sum(1.0,sK0),$sum(2.0,sK0)) | ~spl1_46),
22.32/22.39	  inference(evaluation,[],[f1762])).
22.32/22.39	tff(f1803,plain,(
22.32/22.39	  spl1_108 <=> $less($sum(1.0,sK0),$sum(2.0,sK0))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_108])])).
22.32/22.39	tff(f1805,plain,(
22.32/22.39	  spl1_108 | ~spl1_46),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1782,f609,f1803])).
22.32/22.39	tff(f1905,plain,(
22.32/22.39	  $less(0,$uminus($to_int(sK0))) | 0 = $uminus($to_int(sK0)) | ~spl1_101),
22.32/22.39	  inference(resolution,[],[f1282,f10])).
22.32/22.39	tff(f1906,plain,(
22.32/22.39	  $less(0,$uminus($to_int(sK0))) | 0 = $uminus($to_int(sK0)) | ~spl1_101),
22.32/22.39	  inference(resolution,[],[f1282,f10])).
22.32/22.39	tff(f1914,plain,(
22.32/22.39	  spl1_110 <=> 0 = $uminus($to_int(sK0))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_110])])).
22.32/22.39	tff(f1920,plain,(
22.32/22.39	  spl1_112 <=> $less(0,$uminus($to_int(sK0)))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_112])])).
22.32/22.39	tff(f1922,plain,(
22.32/22.39	  spl1_110 | spl1_112 | spl1_101),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1905,f1281,f1920,f1914])).
22.32/22.39	tff(f1923,plain,(
22.32/22.39	  spl1_110 | spl1_112 | spl1_101),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1906,f1281,f1920,f1914])).
22.32/22.39	tff(f1929,plain,(
22.32/22.39	  $to_int(sK0) = 0 | ~$less(0,$sum($to_int(sK0),1)) | ~spl1_97),
22.32/22.39	  inference(resolution,[],[f305,f1267])).
22.32/22.39	tff(f1931,plain,(
22.32/22.39	  0 = $uminus($to_int(sK0)) | ~$less($uminus($to_int(sK0)),$sum(0,1)) | ~spl1_101),
22.32/22.39	  inference(resolution,[],[f305,f1282])).
22.32/22.39	tff(f1945,plain,(
22.32/22.39	  0 = $uminus($to_int(sK0)) | ~$less($uminus($to_int(sK0)),1) | ~spl1_101),
22.32/22.39	  inference(evaluation,[],[f1931])).
22.32/22.39	tff(f1948,plain,(
22.32/22.39	  $to_int(sK0) = 0 | ~$less($uminus(1),$to_int(sK0)) | ~spl1_97),
22.32/22.39	  inference(evaluation,[],[f1929])).
22.32/22.39	tff(f1949,plain,(
22.32/22.39	  $to_int(sK0) = 0 | ~$less(-1,$to_int(sK0)) | ~spl1_97),
22.32/22.39	  inference(evaluation,[],[f1948])).
22.32/22.39	tff(f1954,plain,(
22.32/22.39	  spl1_115 <=> ~$less(-1,$to_int(sK0))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_115])])).
22.32/22.39	tff(f1955,plain,(
22.32/22.39	  ~$less(-1,$to_int(sK0)) | ~spl1_115),
22.32/22.39	  inference(AVATAR_component_clause,[],[f1954])).
22.32/22.39	tff(f1960,plain,(
22.32/22.39	  spl1_116 <=> $to_int(sK0) = 0),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_116])])).
22.32/22.39	tff(f1962,plain,(
22.32/22.39	  ~spl1_115 | spl1_116 | spl1_97),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1949,f1266,f1960,f1954])).
22.32/22.39	tff(f1967,plain,(
22.32/22.39	  spl1_119 <=> ~$less($uminus($to_int(sK0)),1)),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_119])])).
22.32/22.39	tff(f1969,plain,(
22.32/22.39	  ~spl1_119 | spl1_110 | spl1_101),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1945,f1281,f1914,f1967])).
22.32/22.39	tff(f1983,plain,(
22.32/22.39	  0 = $sum($sum(1,$to_int(sK0)),$sum(-1,$uminus($to_int(sK0)))) | ~spl1_32),
22.32/22.39	  inference(superposition,[],[f7,f398])).
22.32/22.39	tff(f1984,plain,(
22.32/22.39	  $sum(1,$to_int(sK0)) = $uminus($sum(-1,$uminus($to_int(sK0)))) | ~spl1_32),
22.32/22.39	  inference(superposition,[],[f13,f398])).
22.32/22.39	tff(f1985,plain,(
22.32/22.39	  0 = $sum($sum(-1,$uminus($to_int(sK0))),$sum(1,$to_int(sK0))) | ~spl1_32),
22.32/22.39	  inference(superposition,[],[f85,f398])).
22.32/22.39	tff(f1998,plain,(
22.32/22.39	  spl1_120 <=> 0 = $sum($sum(1,$to_int(sK0)),$sum(-1,$uminus($to_int(sK0))))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_120])])).
22.32/22.39	tff(f2000,plain,(
22.32/22.39	  spl1_120 | ~spl1_32),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1983,f397,f1998])).
22.32/22.39	tff(f2005,plain,(
22.32/22.39	  spl1_122 <=> $sum(1,$to_int(sK0)) = $uminus($sum(-1,$uminus($to_int(sK0))))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_122])])).
22.32/22.39	tff(f2007,plain,(
22.32/22.39	  spl1_122 | ~spl1_32),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1984,f397,f2005])).
22.32/22.39	tff(f2012,plain,(
22.32/22.39	  spl1_124 <=> 0 = $sum($sum(-1,$uminus($to_int(sK0))),$sum(1,$to_int(sK0)))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_124])])).
22.32/22.39	tff(f2014,plain,(
22.32/22.39	  spl1_124 | ~spl1_32),
22.32/22.39	  inference(AVATAR_split_clause,[],[f1985,f397,f2012])).
22.32/22.39	tff(f2206,plain,(
22.32/22.39	  $less($sum($to_int(sK0),$sum(1,$to_int(sK0))),$sum(2,$to_int(sK0))) | (~spl1_2 | ~spl1_42 | ~spl1_92)),
22.32/22.39	  inference(superposition,[],[f1249,f554])).
22.32/22.39	tff(f2212,plain,(
22.32/22.39	  $less($sum(1,$sum($to_int(sK0),$to_int(sK0))),$sum(2,$to_int(sK0))) | (~spl1_2 | ~spl1_42 | ~spl1_92)),
22.32/22.39	  inference(forward_demodulation,[],[f2206,f509])).
22.32/22.39	tff(f2217,plain,(
22.32/22.39	  spl1_126 <=> $less($sum(1,$sum($to_int(sK0),$to_int(sK0))),$sum(2,$to_int(sK0)))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_126])])).
22.32/22.39	tff(f2219,plain,(
22.32/22.39	  spl1_126 | ~spl1_2 | ~spl1_42 | ~spl1_92),
22.32/22.39	  inference(AVATAR_split_clause,[],[f2212,f1171,f553,f44,f2217])).
22.32/22.39	tff(f2512,plain,(
22.32/22.39	  $to_int(sK0) = -1 | ~$less(-1,$sum($to_int(sK0),1)) | ~spl1_115),
22.32/22.39	  inference(resolution,[],[f1955,f305])).
22.32/22.39	tff(f2519,plain,(
22.32/22.39	  $to_int(sK0) = -1 | ~$less($sum(-1,-1),$to_int(sK0)) | ~spl1_115),
22.32/22.39	  inference(evaluation,[],[f2512])).
22.32/22.39	tff(f2520,plain,(
22.32/22.39	  $to_int(sK0) = -1 | ~$less(-2,$to_int(sK0)) | ~spl1_115),
22.32/22.39	  inference(evaluation,[],[f2519])).
22.32/22.39	tff(f2525,plain,(
22.32/22.39	  spl1_129 <=> ~$less(-2,$to_int(sK0))),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_129])])).
22.32/22.39	tff(f2531,plain,(
22.32/22.39	  spl1_130 <=> $to_int(sK0) = -1),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_130])])).
22.32/22.39	tff(f2532,plain,(
22.32/22.39	  $to_int(sK0) = -1 | ~spl1_130),
22.32/22.39	  inference(AVATAR_component_clause,[],[f2531])).
22.32/22.39	tff(f2533,plain,(
22.32/22.39	  ~spl1_129 | spl1_130 | spl1_115),
22.32/22.39	  inference(AVATAR_split_clause,[],[f2520,f1954,f2531,f2525])).
22.32/22.39	tff(f2534,plain,(
22.32/22.39	  $to_real(-1) = sK0 | (~spl1_0 | ~spl1_130)),
22.32/22.39	  inference(backward_demodulation,[],[f2532,f38])).
22.32/22.39	tff(f2618,plain,(
22.32/22.39	  sK0 = -1.0 | (~spl1_0 | ~spl1_130)),
22.32/22.39	  inference(evaluation,[],[f2534])).
22.32/22.39	tff(f2623,plain,(
22.32/22.39	  spl1_132 <=> sK0 = -1.0),
22.32/22.39	  introduced(AVATAR_definition,[new_symbols(naming,[spl1_132])])).
22.32/22.39	tff(f2624,plain,(
22.32/22.39	  sK0 = -1.0 | ~spl1_132),
22.32/22.39	  inference(AVATAR_component_clause,[],[f2623])).
22.32/22.39	tff(f2625,plain,(
22.32/22.39	  spl1_132 | ~spl1_0 | ~spl1_130),
22.32/22.39	  inference(AVATAR_split_clause,[],[f2618,f2531,f37,f2623])).
22.32/22.39	tff(f2644,plain,(
22.32/22.39	  $ceiling(-1.0) = 1.0 | (~spl1_92 | ~spl1_132)),
22.32/22.39	  inference(backward_demodulation,[],[f2624,f1172])).
22.32/22.39	tff(f2668,plain,(
22.32/22.39	  $false | (~spl1_92 | ~spl1_132)),
22.32/22.39	  inference(evaluation,[],[f2644])).
22.32/22.39	tff(f2669,plain,(
22.32/22.39	  ~spl1_92 | ~spl1_132),
22.32/22.39	  inference(AVATAR_contradiction_clause,[],[f2668,f2623,f1171])).
22.32/22.39	tff(f2698,plain,(
22.32/22.39	  $false),
22.32/22.39	  inference(AVATAR_sat_refutation,[],[f39,f46,f166,f179,f180,f193,f216,f218,f220,f222,f224,f257,f270,f271,f284,f287,f389,f391,f399,f426,f464,f466,f474,f477,f547,f548,f555,f603,f604,f611,f613,f653,f660,f700,f722,f723,f818,f847,f854,f861,f868,f875,f905,f906,f913,f1041,f1042,f1049,f1101,f1102,f1109,f1111,f1125,f1133,f1140,f1150,f1153,f1154,f1161,f1162,f1163,f1164,f1165,f1166,f1173,f1174,f1261,f1268,f1275,f1276,f1283,f1285,f1292,f1413,f1602,f1605,f1805,f1922,f1923,f1962,f1969,f2000,f2007,f2014,f2219,f2533,f2625,f2669])).
22.32/22.39	% SZS output end Proof for theBenchmark
22.32/22.39	% ------------------------------
22.32/22.39	% Version: Vampire 4.1 for CASC J8 Entry
22.32/22.39	% Termination reason: Refutation
22.32/22.39	
22.32/22.39	% Memory used [KB]: 2558
22.32/22.39	% Time elapsed: 0.068 s
22.32/22.39	% ------------------------------
22.32/22.39	% ------------------------------
22.32/22.39	% Success in time 22.142 s
22.32/22.40	EOF