0.00/0.25	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.25	% Command    : vampire --mode casc -m 90000 -t %d %s
0.05/1.12	% Computer   : n176.star.cs.uiowa.edu
0.05/1.12	% Model      : x86_64 x86_64
0.05/1.12	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.05/1.12	% Memory     : 32218.625MB
0.05/1.12	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.05/1.12	% CPULimit   : 300
0.05/1.12	% DateTime   : Fri Jul 13 14:53:01 CDT 2018
0.05/1.12	% CPUTime    : 
0.05/1.13	Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem!
0.05/1.13	% remaining time: 3000 next slice time: 3
0.05/1.16	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
0.11/1.19	% Refutation not found, incomplete strategy
0.11/1.19	% ------------------------------
0.11/1.19	% Version: Vampire 4.1 for CASC J8 Entry
0.11/1.19	% Termination reason: Refutation not found, incomplete strategy
0.11/1.19	
0.11/1.19	% Memory used [KB]: 767
0.11/1.19	% Time elapsed: 0.030 s
0.11/1.19	% ------------------------------
0.11/1.19	% ------------------------------
0.11/1.19	% remaining time: 2999 next slice time: 3
0.12/1.19	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
0.13/1.59	% (33661)Time limit reached!
0.13/1.59	% ------------------------------
0.13/1.59	% Version: Vampire 4.1 for CASC J8 Entry
0.13/1.59	% Termination reason: Time limit
0.13/1.59	% Termination phase: Saturation
0.13/1.59	
0.13/1.59	% Memory used [KB]: 4605
0.13/1.59	% Time elapsed: 0.400 s
0.13/1.59	% ------------------------------
0.13/1.59	% ------------------------------
0.13/1.59	% remaining time: 2995 next slice time: 5
0.13/1.60	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
0.53/1.61	% Refutation not found, incomplete strategy
0.53/1.61	% ------------------------------
0.53/1.61	% Version: Vampire 4.1 for CASC J8 Entry
0.53/1.61	% Termination reason: Refutation not found, incomplete strategy
0.53/1.61	
0.53/1.61	% Memory used [KB]: 511
0.53/1.61	% Time elapsed: 0.014 s
0.53/1.61	% ------------------------------
0.53/1.61	% ------------------------------
0.53/1.61	% remaining time: 2995 next slice time: 9
0.53/1.62	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
0.53/1.63	% Refutation not found, incomplete strategy
0.53/1.63	% ------------------------------
0.53/1.63	% Version: Vampire 4.1 for CASC J8 Entry
0.53/1.63	% Termination reason: Refutation not found, incomplete strategy
0.53/1.63	
0.53/1.63	% Memory used [KB]: 639
0.53/1.63	% Time elapsed: 0.014 s
0.53/1.63	% ------------------------------
0.53/1.63	% ------------------------------
0.53/1.63	% remaining time: 2995 next slice time: 10
0.53/1.63	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
0.53/1.65	% Refutation not found, incomplete strategy
0.53/1.65	% ------------------------------
0.53/1.65	% Version: Vampire 4.1 for CASC J8 Entry
0.53/1.65	% Termination reason: Refutation not found, incomplete strategy
0.53/1.65	
0.53/1.65	% Memory used [KB]: 639
0.53/1.65	% Time elapsed: 0.014 s
0.53/1.65	% ------------------------------
0.53/1.65	% ------------------------------
0.53/1.65	% remaining time: 2994 next slice time: 40
0.53/1.65	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
4.65/5.75	% (33665)Time limit reached!
4.65/5.75	% ------------------------------
4.65/5.75	% Version: Vampire 4.1 for CASC J8 Entry
4.65/5.75	% Termination reason: Time limit
4.65/5.75	% Termination phase: Saturation
4.65/5.75	
4.65/5.75	% Memory used [KB]: 77909
4.65/5.75	% Time elapsed: 4.100 s
4.65/5.75	% ------------------------------
4.65/5.75	% ------------------------------
4.65/5.76	% remaining time: 2953 next slice time: 10
4.65/5.76	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
5.73/6.86	% (33788)Time limit reached!
5.73/6.86	% ------------------------------
5.73/6.86	% Version: Vampire 4.1 for CASC J8 Entry
5.73/6.86	% Termination reason: Time limit
5.73/6.86	% Termination phase: Saturation
5.73/6.86	
5.73/6.86	% Memory used [KB]: 26993
5.73/6.86	% Time elapsed: 1.100 s
5.73/6.86	% ------------------------------
5.73/6.86	% ------------------------------
5.73/6.86	% remaining time: 2942 next slice time: 162
5.73/6.87	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
22.14/23.16	% (33789)Time limit reached!
22.14/23.16	% ------------------------------
22.14/23.16	% Version: Vampire 4.1 for CASC J8 Entry
22.14/23.16	% Termination reason: Time limit
22.14/23.16	% Termination phase: Saturation
22.14/23.16	
22.14/23.16	% Memory used [KB]: 285922
22.14/23.16	% Time elapsed: 16.300 s
22.14/23.16	% ------------------------------
22.14/23.16	% ------------------------------
22.14/23.18	% remaining time: 2779 next slice time: 6
22.14/23.19	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
22.25/23.20	% Refutation not found, incomplete strategy
22.25/23.20	% ------------------------------
22.25/23.20	% Version: Vampire 4.1 for CASC J8 Entry
22.25/23.20	% Termination reason: Refutation not found, incomplete strategy
22.25/23.20	
22.25/23.20	% Memory used [KB]: 767
22.25/23.20	% Time elapsed: 0.015 s
22.25/23.20	% ------------------------------
22.25/23.20	% ------------------------------
22.25/23.20	% remaining time: 2779 next slice time: 6
22.25/23.21	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
22.25/23.22	% Refutation not found, incomplete strategy
22.25/23.22	% ------------------------------
22.25/23.22	% Version: Vampire 4.1 for CASC J8 Entry
22.25/23.22	% Termination reason: Refutation not found, incomplete strategy
22.25/23.22	
22.25/23.22	% Memory used [KB]: 767
22.25/23.22	% Time elapsed: 0.014 s
22.25/23.22	% ------------------------------
22.25/23.22	% ------------------------------
22.25/23.22	% remaining time: 2779 next slice time: 11
22.25/23.22	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
22.25/23.22	% Refutation not found, incomplete strategy
22.25/23.22	% ------------------------------
22.25/23.22	% Version: Vampire 4.1 for CASC J8 Entry
22.25/23.22	% Termination reason: Refutation not found, incomplete strategy
22.25/23.22	
22.25/23.22	% Memory used [KB]: 767
22.25/23.22	% Time elapsed: 0.002 s
22.25/23.22	% ------------------------------
22.25/23.22	% ------------------------------
22.25/23.22	% remaining time: 2778 next slice time: 6
22.25/23.23	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
22.28/23.40	% Refutation found. Thanks to Tanya!
22.28/23.40	% SZS status Theorem for theBenchmark
22.28/23.40	% SZS output start Proof for theBenchmark
22.28/23.40	tff(func_def_6, type, sK0: $int).
22.28/23.40	tff(func_def_7, type, sK1: $int).
22.28/23.40	tff(func_def_8, type, sK2: $int).
22.28/23.40	tff(f1,conjecture,(
22.28/23.40	  ! [X0 : $int,X1 : $int,X2 : $int] : (($less(0,X0) & $lesseq(0,X1) & $lesseq(0,X2) & ($less(X0,X1) | $less(X0,X2))) => ? [X3 : $int] : ($less($sum(X0,X3),4) & $less(3,$sum($sum(X1,X2),X3))))),
22.28/23.40	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_4)).
22.28/23.40	tff(f2,negated_conjecture,(
22.28/23.40	  ~! [X0 : $int,X1 : $int,X2 : $int] : (($less(0,X0) & $lesseq(0,X1) & $lesseq(0,X2) & ($less(X0,X1) | $less(X0,X2))) => ? [X3 : $int] : ($less($sum(X0,X3),4) & $less(3,$sum($sum(X1,X2),X3))))),
22.28/23.40	  inference(negated_conjecture,[],[f1])).
22.28/23.40	tff(f4,plain,(
22.28/23.40	  ~! [X0 : $int,X1 : $int,X2 : $int] : (($less(0,X0) & ~$less(X1,0) & ~$less(X2,0) & ($less(X0,X1) | $less(X0,X2))) => ? [X3 : $int] : ($less($sum(X0,X3),4) & $less(3,$sum($sum(X1,X2),X3))))),
22.28/23.40	  inference(evaluation,[],[f2])).
22.28/23.40	tff(f5,plain,(
22.28/23.40	  ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )),
22.28/23.40	  introduced(theory_axiom,[])).
22.28/23.40	tff(f6,plain,(
22.28/23.40	  ( ! [X2:$int,X0:$int,X1:$int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
22.28/23.40	  introduced(theory_axiom,[])).
22.28/23.40	tff(f7,plain,(
22.28/23.40	  ( ! [X0:$int] : ($sum(X0,0) = X0) )),
22.28/23.40	  introduced(theory_axiom,[])).
22.28/23.40	tff(f8,plain,(
22.28/23.40	  ( ! [X0:$int,X1:$int] : ($sum($uminus(X1),$uminus(X0)) = $uminus($sum(X0,X1))) )),
22.28/23.40	  introduced(theory_axiom,[])).
22.28/23.40	tff(f9,plain,(
22.28/23.40	  ( ! [X0:$int] : ($sum(X0,$uminus(X0)) = 0) )),
22.28/23.40	  introduced(theory_axiom,[])).
22.28/23.40	tff(f10,plain,(
22.28/23.40	  ( ! [X0:$int] : (~$less(X0,X0)) )),
22.28/23.40	  introduced(theory_axiom,[])).
22.28/23.40	tff(f11,plain,(
22.28/23.40	  ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
22.28/23.40	  introduced(theory_axiom,[])).
22.28/23.40	tff(f12,plain,(
22.28/23.40	  ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
22.28/23.40	  introduced(theory_axiom,[])).
22.28/23.40	tff(f13,plain,(
22.28/23.40	  ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )),
22.28/23.40	  introduced(theory_axiom,[])).
22.28/23.40	tff(f14,plain,(
22.28/23.40	  ( ! [X0:$int,X1:$int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
22.28/23.40	  introduced(theory_axiom,[])).
22.28/23.40	tff(f15,plain,(
22.28/23.40	  ( ! [X0:$int] : ($uminus($uminus(X0)) = X0) )),
22.28/23.40	  introduced(theory_axiom,[])).
22.28/23.40	tff(f16,plain,(
22.28/23.40	  ( ! [X0:$int,X1:$int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )),
22.28/23.40	  introduced(theory_axiom,[])).
22.28/23.40	tff(f17,plain,(
22.28/23.40	  ? [X0 : $int,X1 : $int,X2 : $int] : (! [X3 : $int] : (~$less($sum(X0,X3),4) | ~$less(3,$sum($sum(X1,X2),X3))) & ($less(0,X0) & ~$less(X1,0) & ~$less(X2,0) & ($less(X0,X1) | $less(X0,X2))))),
22.28/23.40	  inference(ennf_transformation,[],[f4])).
22.28/23.40	tff(f18,plain,(
22.28/23.40	  ? [X0 : $int,X1 : $int,X2 : $int] : (! [X3 : $int] : (~$less($sum(X0,X3),4) | ~$less(3,$sum($sum(X1,X2),X3))) & $less(0,X0) & ~$less(X1,0) & ~$less(X2,0) & ($less(X0,X1) | $less(X0,X2)))),
22.28/23.40	  inference(flattening,[],[f17])).
22.28/23.40	tff(f19,plain,(
22.28/23.40	  ? [X0 : $int,X1 : $int,X2 : $int] : (! [X3 : $int] : (~$less($sum(X0,X3),4) | ~$less(3,$sum($sum(X1,X2),X3))) & $less(0,X0) & ~$less(X1,0) & ~$less(X2,0) & ($less(X0,X1) | $less(X0,X2))) => (! [X3 : $int] : (~$less($sum(sK0,X3),4) | ~$less(3,$sum($sum(sK1,sK2),X3))) & $less(0,sK0) & ~$less(sK1,0) & ~$less(sK2,0) & ($less(sK0,sK1) | $less(sK0,sK2)))),
22.28/23.40	  introduced(choice_axiom,[])).
22.28/23.40	tff(f20,plain,(
22.28/23.40	  ! [X3 : $int] : (~$less($sum(sK0,X3),4) | ~$less(3,$sum($sum(sK1,sK2),X3))) & $less(0,sK0) & ~$less(sK1,0) & ~$less(sK2,0) & ($less(sK0,sK1) | $less(sK0,sK2))),
22.28/23.40	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f18,f19])).
22.28/23.40	tff(f24,plain,(
22.28/23.40	  $less(sK0,sK1) | $less(sK0,sK2)),
22.28/23.40	  inference(cnf_transformation,[],[f20])).
22.28/23.40	tff(f25,plain,(
22.28/23.40	  ~$less(sK2,0)),
22.28/23.40	  inference(cnf_transformation,[],[f20])).
22.28/23.40	tff(f26,plain,(
22.28/23.40	  ~$less(sK1,0)),
22.28/23.40	  inference(cnf_transformation,[],[f20])).
22.28/23.40	tff(f27,plain,(
22.28/23.40	  $less(0,sK0)),
22.28/23.40	  inference(cnf_transformation,[],[f20])).
22.28/23.40	tff(f28,plain,(
22.28/23.40	  ( ! [X3:$int] : (~$less($sum(sK0,X3),4) | ~$less(3,$sum($sum(sK1,sK2),X3))) )),
22.28/23.40	  inference(cnf_transformation,[],[f20])).
22.28/23.40	tff(f29,plain,(
22.28/23.40	  ( ! [X3:$int] : (~$less($sum(sK0,X3),4) | ~$less(3,$sum(sK1,$sum(sK2,X3)))) )),
22.28/23.40	  inference(forward_demodulation,[],[f28,f6])).
22.28/23.40	tff(f34,plain,(
22.28/23.40	  spl3_0 <=> $less(0,sK0)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_0])])).
22.28/23.40	tff(f35,plain,(
22.28/23.40	  $less(0,sK0) | ~spl3_0),
22.28/23.40	  inference(AVATAR_component_clause,[],[f34])).
22.28/23.40	tff(f36,plain,(
22.28/23.40	  spl3_0),
22.28/23.40	  inference(AVATAR_split_clause,[],[f27,f34])).
22.28/23.40	tff(f41,plain,(
22.28/23.40	  spl3_3 <=> ~$less(sK1,0)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_3])])).
22.28/23.40	tff(f42,plain,(
22.28/23.40	  ~$less(sK1,0) | ~spl3_3),
22.28/23.40	  inference(AVATAR_component_clause,[],[f41])).
22.28/23.40	tff(f43,plain,(
22.28/23.40	  ~spl3_3),
22.28/23.40	  inference(AVATAR_split_clause,[],[f26,f41])).
22.28/23.40	tff(f45,plain,(
22.28/23.40	  spl3_4 <=> $less(sK2,0)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_4])])).
22.28/23.40	tff(f48,plain,(
22.28/23.40	  spl3_5 <=> ~$less(sK2,0)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_5])])).
22.28/23.40	tff(f49,plain,(
22.28/23.40	  ~$less(sK2,0) | ~spl3_5),
22.28/23.40	  inference(AVATAR_component_clause,[],[f48])).
22.28/23.40	tff(f50,plain,(
22.28/23.40	  ~spl3_5),
22.28/23.40	  inference(AVATAR_split_clause,[],[f25,f48])).
22.28/23.40	tff(f55,plain,(
22.28/23.40	  spl3_6 <=> $less(sK0,sK2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_6])])).
22.28/23.40	tff(f56,plain,(
22.28/23.40	  $less(sK0,sK2) | ~spl3_6),
22.28/23.40	  inference(AVATAR_component_clause,[],[f55])).
22.28/23.40	tff(f58,plain,(
22.28/23.40	  spl3_9 <=> ~$less(sK0,sK1)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_9])])).
22.28/23.40	tff(f59,plain,(
22.28/23.40	  ~$less(sK0,sK1) | ~spl3_9),
22.28/23.40	  inference(AVATAR_component_clause,[],[f58])).
22.28/23.40	tff(f61,plain,(
22.28/23.40	  spl3_8 <=> $less(sK0,sK1)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_8])])).
22.28/23.40	tff(f62,plain,(
22.28/23.40	  $less(sK0,sK1) | ~spl3_8),
22.28/23.40	  inference(AVATAR_component_clause,[],[f61])).
22.28/23.40	tff(f63,plain,(
22.28/23.40	  spl3_6 | spl3_8),
22.28/23.40	  inference(AVATAR_split_clause,[],[f24,f61,f55])).
22.28/23.40	tff(f96,plain,(
22.28/23.40	  ~$less(sK0,4) | ~$less(3,$sum(sK1,$sum(sK2,0)))),
22.28/23.40	  inference(superposition,[],[f29,f7])).
22.28/23.40	tff(f101,plain,(
22.28/23.40	  ~$less($sum(sK0,4),4) | ~$less(3,$sum(sK1,$sum(sK2,4)))),
22.28/23.40	  inference(Instantiation,[],[f29])).
22.28/23.40	tff(f102,plain,(
22.28/23.40	  ~$less($sum(sK0,3),4) | ~$less(3,$sum(sK1,$sum(sK2,3)))),
22.28/23.40	  inference(Instantiation,[],[f29])).
22.28/23.40	tff(f103,plain,(
22.28/23.40	  ~$less($sum(sK0,0),4) | ~$less(3,$sum(sK1,$sum(sK2,0)))),
22.28/23.40	  inference(Instantiation,[],[f29])).
22.28/23.40	tff(f104,plain,(
22.28/23.40	  ~$less($sum(sK0,1),4) | ~$less(3,$sum(sK1,$sum(sK2,1)))),
22.28/23.40	  inference(Instantiation,[],[f29])).
22.28/23.40	tff(f105,plain,(
22.28/23.40	  ~$less(sK0,$sum(4,-1)) | ~$less(3,$sum(sK1,$sum(sK2,1)))),
22.28/23.40	  inference(evaluation,[],[f104])).
22.28/23.40	tff(f106,plain,(
22.28/23.40	  ~$less(sK0,3) | ~$less(3,$sum(sK1,$sum(sK2,1)))),
22.28/23.40	  inference(evaluation,[],[f105])).
22.28/23.40	tff(f107,plain,(
22.28/23.40	  ~$less(sK0,4) | ~$less(3,$sum(sK1,sK2))),
22.28/23.40	  inference(evaluation,[],[f103])).
22.28/23.40	tff(f108,plain,(
22.28/23.40	  ~$less(sK0,$sum(4,-3)) | ~$less(3,$sum(sK1,$sum(sK2,3)))),
22.28/23.40	  inference(evaluation,[],[f102])).
22.28/23.40	tff(f109,plain,(
22.28/23.40	  ~$less(sK0,1) | ~$less(3,$sum(sK1,$sum(sK2,3)))),
22.28/23.40	  inference(evaluation,[],[f108])).
22.28/23.40	tff(f110,plain,(
22.28/23.40	  ~$less(sK0,$sum(4,-4)) | ~$less(3,$sum(sK1,$sum(sK2,4)))),
22.28/23.40	  inference(evaluation,[],[f101])).
22.28/23.40	tff(f111,plain,(
22.28/23.40	  ~$less(sK0,0) | ~$less(3,$sum(sK1,$sum(sK2,4)))),
22.28/23.40	  inference(evaluation,[],[f110])).
22.28/23.40	tff(f112,plain,(
22.28/23.40	  ~$less(sK0,4) | ~$less(3,$sum(sK1,sK2))),
22.28/23.40	  inference(evaluation,[],[f96])).
22.28/23.40	tff(f114,plain,(
22.28/23.40	  spl3_10 <=> $less(3,$sum(sK1,sK2))),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_10])])).
22.28/23.40	tff(f115,plain,(
22.28/23.40	  $less(3,$sum(sK1,sK2)) | ~spl3_10),
22.28/23.40	  inference(AVATAR_component_clause,[],[f114])).
22.28/23.40	tff(f117,plain,(
22.28/23.40	  spl3_11 <=> ~$less(3,$sum(sK1,sK2))),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_11])])).
22.28/23.40	tff(f118,plain,(
22.28/23.40	  ~$less(3,$sum(sK1,sK2)) | ~spl3_11),
22.28/23.40	  inference(AVATAR_component_clause,[],[f117])).
22.28/23.40	tff(f123,plain,(
22.28/23.40	  spl3_13 <=> ~$less(sK0,4)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_13])])).
22.28/23.40	tff(f124,plain,(
22.28/23.40	  ~$less(sK0,4) | ~spl3_13),
22.28/23.40	  inference(AVATAR_component_clause,[],[f123])).
22.28/23.40	tff(f125,plain,(
22.28/23.40	  ~spl3_11 | ~spl3_13),
22.28/23.40	  inference(AVATAR_split_clause,[],[f112,f123,f117])).
22.28/23.40	tff(f126,plain,(
22.28/23.40	  ~$less(3,$sum(sK1,$sum(4,sK2))) | ~$less(sK0,0)),
22.28/23.40	  inference(forward_demodulation,[],[f111,f5])).
22.28/23.40	tff(f131,plain,(
22.28/23.40	  spl3_15 <=> ~$less(sK0,0)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_15])])).
22.28/23.40	tff(f137,plain,(
22.28/23.40	  spl3_17 <=> ~$less(3,$sum(sK1,$sum(4,sK2)))),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_17])])).
22.28/23.40	tff(f139,plain,(
22.28/23.40	  ~spl3_15 | ~spl3_17),
22.28/23.40	  inference(AVATAR_split_clause,[],[f126,f137,f131])).
22.28/23.40	tff(f140,plain,(
22.28/23.40	  ~$less(3,$sum(sK1,$sum(3,sK2))) | ~$less(sK0,1)),
22.28/23.40	  inference(forward_demodulation,[],[f109,f5])).
22.28/23.40	tff(f145,plain,(
22.28/23.40	  spl3_19 <=> ~$less(sK0,1)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_19])])).
22.28/23.40	tff(f146,plain,(
22.28/23.40	  ~$less(sK0,1) | ~spl3_19),
22.28/23.40	  inference(AVATAR_component_clause,[],[f145])).
22.28/23.40	tff(f151,plain,(
22.28/23.40	  spl3_21 <=> ~$less(3,$sum(sK1,$sum(3,sK2)))),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_21])])).
22.28/23.40	tff(f153,plain,(
22.28/23.40	  ~spl3_19 | ~spl3_21),
22.28/23.40	  inference(AVATAR_split_clause,[],[f140,f151,f145])).
22.28/23.40	tff(f154,plain,(
22.28/23.40	  ~spl3_11 | ~spl3_13),
22.28/23.40	  inference(AVATAR_split_clause,[],[f107,f123,f117])).
22.28/23.40	tff(f155,plain,(
22.28/23.40	  ~$less(3,$sum(sK1,$sum(1,sK2))) | ~$less(sK0,3)),
22.28/23.40	  inference(forward_demodulation,[],[f106,f5])).
22.28/23.40	tff(f160,plain,(
22.28/23.40	  spl3_23 <=> ~$less(sK0,3)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_23])])).
22.28/23.40	tff(f161,plain,(
22.28/23.40	  ~$less(sK0,3) | ~spl3_23),
22.28/23.40	  inference(AVATAR_component_clause,[],[f160])).
22.28/23.40	tff(f163,plain,(
22.28/23.40	  spl3_24 <=> $less(3,$sum(sK1,$sum(1,sK2)))),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_24])])).
22.28/23.40	tff(f164,plain,(
22.28/23.40	  $less(3,$sum(sK1,$sum(1,sK2))) | ~spl3_24),
22.28/23.40	  inference(AVATAR_component_clause,[],[f163])).
22.28/23.40	tff(f166,plain,(
22.28/23.40	  spl3_25 <=> ~$less(3,$sum(sK1,$sum(1,sK2)))),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_25])])).
22.28/23.40	tff(f167,plain,(
22.28/23.40	  ~$less(3,$sum(sK1,$sum(1,sK2))) | ~spl3_25),
22.28/23.40	  inference(AVATAR_component_clause,[],[f166])).
22.28/23.40	tff(f168,plain,(
22.28/23.40	  ~spl3_23 | ~spl3_25),
22.28/23.40	  inference(AVATAR_split_clause,[],[f155,f166,f160])).
22.28/23.40	tff(f169,plain,(
22.28/23.40	  ( ! [X0:$int] : ($sum($uminus(X0),X0) = 0) )),
22.28/23.40	  inference(superposition,[],[f9,f15])).
22.28/23.40	tff(f170,plain,(
22.28/23.40	  ~$less(0,4) | ~$less(3,$sum(sK1,$sum(sK2,$uminus(sK0))))),
22.28/23.40	  inference(superposition,[],[f29,f9])).
22.28/23.40	tff(f183,plain,(
22.28/23.40	  ~$less(3,$sum(sK1,$sum(sK2,$uminus(sK0))))),
22.28/23.40	  inference(evaluation,[],[f170])).
22.28/23.40	tff(f188,plain,(
22.28/23.40	  spl3_27 <=> ~$less(3,$sum(sK1,$sum(sK2,$uminus(sK0))))),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_27])])).
22.28/23.40	tff(f189,plain,(
22.28/23.40	  ~$less(3,$sum(sK1,$sum(sK2,$uminus(sK0)))) | ~spl3_27),
22.28/23.40	  inference(AVATAR_component_clause,[],[f188])).
22.28/23.40	tff(f190,plain,(
22.28/23.40	  ~spl3_27),
22.28/23.40	  inference(AVATAR_split_clause,[],[f183,f188])).
22.28/23.40	tff(f218,plain,(
22.28/23.40	  ( ! [X0:$int] : ($less(X0,$sum(X0,1))) )),
22.28/23.40	  inference(resolution,[],[f14,f10])).
22.28/23.40	tff(f219,plain,(
22.28/23.40	  ( ! [X0:$int,X1:$int] : ($less(X1,$sum(1,X0)) | $less(X0,X1)) )),
22.28/23.40	  inference(superposition,[],[f14,f5])).
22.28/23.40	tff(f226,plain,(
22.28/23.40	  $less(sK2,$sum(4,1)) | $less(4,sK2)),
22.28/23.40	  inference(Instantiation,[],[f14])).
22.28/23.40	tff(f227,plain,(
22.28/23.40	  $less(sK2,$sum(3,1)) | $less(3,sK2)),
22.28/23.40	  inference(Instantiation,[],[f14])).
22.28/23.40	tff(f228,plain,(
22.28/23.40	  $less(sK2,$sum(0,1)) | $less(0,sK2)),
22.28/23.40	  inference(Instantiation,[],[f14])).
22.28/23.40	tff(f229,plain,(
22.28/23.40	  $less(sK2,$sum(1,1)) | $less(1,sK2)),
22.28/23.40	  inference(Instantiation,[],[f14])).
22.28/23.40	tff(f230,plain,(
22.28/23.40	  $less(sK2,$sum(1,1)) | $less(1,sK2)),
22.28/23.40	  inference(Instantiation,[],[f14])).
22.28/23.40	tff(f231,plain,(
22.28/23.40	  $less(sK1,$sum(1,1)) | $less(1,sK1)),
22.28/23.40	  inference(Instantiation,[],[f14])).
22.28/23.40	tff(f232,plain,(
22.28/23.40	  $less($sum(sK1,sK2),$sum(1,1)) | $less(1,$sum(sK1,sK2))),
22.28/23.40	  inference(Instantiation,[],[f14])).
22.28/23.40	tff(f233,plain,(
22.28/23.40	  $less(sK0,$sum(1,1)) | $less(1,sK0)),
22.28/23.40	  inference(Instantiation,[],[f14])).
22.28/23.40	tff(f238,plain,(
22.28/23.40	  $less(sK0,2) | $less(1,sK0)),
22.28/23.40	  inference(evaluation,[],[f233])).
22.28/23.40	tff(f239,plain,(
22.28/23.40	  $less($sum(sK1,sK2),2) | $less(1,$sum(sK1,sK2))),
22.28/23.40	  inference(evaluation,[],[f232])).
22.28/23.40	tff(f240,plain,(
22.28/23.40	  $less(sK1,2) | $less(1,sK1)),
22.28/23.40	  inference(evaluation,[],[f231])).
22.28/23.40	tff(f241,plain,(
22.28/23.40	  $less(sK2,2) | $less(1,sK2)),
22.28/23.40	  inference(evaluation,[],[f230])).
22.28/23.40	tff(f242,plain,(
22.28/23.40	  $less(sK2,2) | $less(1,sK2)),
22.28/23.40	  inference(evaluation,[],[f229])).
22.28/23.40	tff(f243,plain,(
22.28/23.40	  $less(sK2,1) | $less(0,sK2)),
22.28/23.40	  inference(evaluation,[],[f228])).
22.28/23.40	tff(f244,plain,(
22.28/23.40	  $less(sK2,4) | $less(3,sK2)),
22.28/23.40	  inference(evaluation,[],[f227])).
22.28/23.40	tff(f245,plain,(
22.28/23.40	  $less(sK2,5) | $less(4,sK2)),
22.28/23.40	  inference(evaluation,[],[f226])).
22.28/23.40	tff(f247,plain,(
22.28/23.40	  spl3_29 <=> ~$less(4,sK2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_29])])).
22.28/23.40	tff(f250,plain,(
22.28/23.40	  spl3_28 <=> $less(4,sK2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_28])])).
22.28/23.40	tff(f253,plain,(
22.28/23.40	  spl3_31 <=> ~$less(sK2,5)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_31])])).
22.28/23.40	tff(f256,plain,(
22.28/23.40	  spl3_30 <=> $less(sK2,5)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_30])])).
22.28/23.40	tff(f257,plain,(
22.28/23.40	  $less(sK2,5) | ~spl3_30),
22.28/23.40	  inference(AVATAR_component_clause,[],[f256])).
22.28/23.40	tff(f258,plain,(
22.28/23.40	  spl3_28 | spl3_30),
22.28/23.40	  inference(AVATAR_split_clause,[],[f245,f256,f250])).
22.28/23.40	tff(f260,plain,(
22.28/23.40	  spl3_33 <=> ~$less(3,sK2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_33])])).
22.28/23.40	tff(f263,plain,(
22.28/23.40	  spl3_32 <=> $less(3,sK2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_32])])).
22.28/23.40	tff(f266,plain,(
22.28/23.40	  spl3_35 <=> ~$less(sK2,4)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_35])])).
22.28/23.40	tff(f269,plain,(
22.28/23.40	  spl3_34 <=> $less(sK2,4)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_34])])).
22.28/23.40	tff(f270,plain,(
22.28/23.40	  $less(sK2,4) | ~spl3_34),
22.28/23.40	  inference(AVATAR_component_clause,[],[f269])).
22.28/23.40	tff(f271,plain,(
22.28/23.40	  spl3_32 | spl3_34),
22.28/23.40	  inference(AVATAR_split_clause,[],[f244,f269,f263])).
22.28/23.40	tff(f273,plain,(
22.28/23.40	  spl3_37 <=> ~$less(0,sK2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_37])])).
22.28/23.40	tff(f274,plain,(
22.28/23.40	  ~$less(0,sK2) | ~spl3_37),
22.28/23.40	  inference(AVATAR_component_clause,[],[f273])).
22.28/23.40	tff(f276,plain,(
22.28/23.40	  spl3_36 <=> $less(0,sK2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_36])])).
22.28/23.40	tff(f279,plain,(
22.28/23.40	  spl3_39 <=> ~$less(sK2,1)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_39])])).
22.28/23.40	tff(f280,plain,(
22.28/23.40	  ~$less(sK2,1) | ~spl3_39),
22.28/23.40	  inference(AVATAR_component_clause,[],[f279])).
22.28/23.40	tff(f282,plain,(
22.28/23.40	  spl3_38 <=> $less(sK2,1)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_38])])).
22.28/23.40	tff(f283,plain,(
22.28/23.40	  $less(sK2,1) | ~spl3_38),
22.28/23.40	  inference(AVATAR_component_clause,[],[f282])).
22.28/23.40	tff(f284,plain,(
22.28/23.40	  spl3_36 | spl3_38),
22.28/23.40	  inference(AVATAR_split_clause,[],[f243,f282,f276])).
22.28/23.40	tff(f286,plain,(
22.28/23.40	  spl3_41 <=> ~$less(1,sK2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_41])])).
22.28/23.40	tff(f287,plain,(
22.28/23.40	  ~$less(1,sK2) | ~spl3_41),
22.28/23.40	  inference(AVATAR_component_clause,[],[f286])).
22.28/23.40	tff(f289,plain,(
22.28/23.40	  spl3_40 <=> $less(1,sK2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_40])])).
22.28/23.40	tff(f292,plain,(
22.28/23.40	  spl3_43 <=> ~$less(sK2,2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_43])])).
22.28/23.40	tff(f295,plain,(
22.28/23.40	  spl3_42 <=> $less(sK2,2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_42])])).
22.28/23.40	tff(f296,plain,(
22.28/23.40	  $less(sK2,2) | ~spl3_42),
22.28/23.40	  inference(AVATAR_component_clause,[],[f295])).
22.28/23.40	tff(f297,plain,(
22.28/23.40	  spl3_40 | spl3_42),
22.28/23.40	  inference(AVATAR_split_clause,[],[f242,f295,f289])).
22.28/23.40	tff(f298,plain,(
22.28/23.40	  spl3_40 | spl3_42),
22.28/23.40	  inference(AVATAR_split_clause,[],[f241,f295,f289])).
22.28/23.40	tff(f300,plain,(
22.28/23.40	  spl3_45 <=> ~$less(1,sK1)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_45])])).
22.28/23.40	tff(f301,plain,(
22.28/23.40	  ~$less(1,sK1) | ~spl3_45),
22.28/23.40	  inference(AVATAR_component_clause,[],[f300])).
22.28/23.40	tff(f303,plain,(
22.28/23.40	  spl3_44 <=> $less(1,sK1)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_44])])).
22.28/23.40	tff(f304,plain,(
22.28/23.40	  $less(1,sK1) | ~spl3_44),
22.28/23.40	  inference(AVATAR_component_clause,[],[f303])).
22.28/23.40	tff(f306,plain,(
22.28/23.40	  spl3_47 <=> ~$less(sK1,2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_47])])).
22.28/23.40	tff(f307,plain,(
22.28/23.40	  ~$less(sK1,2) | ~spl3_47),
22.28/23.40	  inference(AVATAR_component_clause,[],[f306])).
22.28/23.40	tff(f309,plain,(
22.28/23.40	  spl3_46 <=> $less(sK1,2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_46])])).
22.28/23.40	tff(f311,plain,(
22.28/23.40	  spl3_44 | spl3_46),
22.28/23.40	  inference(AVATAR_split_clause,[],[f240,f309,f303])).
22.28/23.40	tff(f313,plain,(
22.28/23.40	  spl3_49 <=> ~$less(1,$sum(sK1,sK2))),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_49])])).
22.28/23.40	tff(f316,plain,(
22.28/23.40	  spl3_48 <=> $less(1,$sum(sK1,sK2))),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_48])])).
22.28/23.40	tff(f317,plain,(
22.28/23.40	  $less(1,$sum(sK1,sK2)) | ~spl3_48),
22.28/23.40	  inference(AVATAR_component_clause,[],[f316])).
22.28/23.40	tff(f319,plain,(
22.28/23.40	  spl3_51 <=> ~$less($sum(sK1,sK2),2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_51])])).
22.28/23.40	tff(f320,plain,(
22.28/23.40	  ~$less($sum(sK1,sK2),2) | ~spl3_51),
22.28/23.40	  inference(AVATAR_component_clause,[],[f319])).
22.28/23.40	tff(f322,plain,(
22.28/23.40	  spl3_50 <=> $less($sum(sK1,sK2),2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_50])])).
22.28/23.40	tff(f324,plain,(
22.28/23.40	  spl3_48 | spl3_50),
22.28/23.40	  inference(AVATAR_split_clause,[],[f239,f322,f316])).
22.28/23.40	tff(f326,plain,(
22.28/23.40	  spl3_53 <=> ~$less(1,sK0)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_53])])).
22.28/23.40	tff(f327,plain,(
22.28/23.40	  ~$less(1,sK0) | ~spl3_53),
22.28/23.40	  inference(AVATAR_component_clause,[],[f326])).
22.28/23.40	tff(f329,plain,(
22.28/23.40	  spl3_52 <=> $less(1,sK0)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_52])])).
22.28/23.40	tff(f332,plain,(
22.28/23.40	  spl3_55 <=> ~$less(sK0,2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_55])])).
22.28/23.40	tff(f333,plain,(
22.28/23.40	  ~$less(sK0,2) | ~spl3_55),
22.28/23.40	  inference(AVATAR_component_clause,[],[f332])).
22.28/23.40	tff(f335,plain,(
22.28/23.40	  spl3_54 <=> $less(sK0,2)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_54])])).
22.28/23.40	tff(f336,plain,(
22.28/23.40	  $less(sK0,2) | ~spl3_54),
22.28/23.40	  inference(AVATAR_component_clause,[],[f335])).
22.28/23.40	tff(f337,plain,(
22.28/23.40	  spl3_52 | spl3_54),
22.28/23.40	  inference(AVATAR_split_clause,[],[f238,f335,f329])).
22.28/23.40	tff(f339,plain,(
22.28/23.40	  ( ! [X0:$int,X1:$int] : (~$less(X1,$sum(1,X0)) | ~$less(X0,X1)) )),
22.28/23.40	  inference(superposition,[],[f16,f5])).
22.28/23.40	tff(f346,plain,(
22.28/23.40	  ~$less(sK2,$sum(4,1)) | ~$less(4,sK2)),
22.28/23.40	  inference(Instantiation,[],[f16])).
22.28/23.40	tff(f347,plain,(
22.28/23.40	  ~$less(sK2,$sum(3,1)) | ~$less(3,sK2)),
22.28/23.40	  inference(Instantiation,[],[f16])).
22.28/23.40	tff(f348,plain,(
22.28/23.40	  ~$less(sK2,$sum(0,1)) | ~$less(0,sK2)),
22.28/23.40	  inference(Instantiation,[],[f16])).
22.28/23.40	tff(f349,plain,(
22.28/23.40	  ~$less(sK2,$sum(1,1)) | ~$less(1,sK2)),
22.28/23.40	  inference(Instantiation,[],[f16])).
22.28/23.40	tff(f350,plain,(
22.28/23.40	  ~$less(sK2,$sum(1,1)) | ~$less(1,sK2)),
22.28/23.40	  inference(Instantiation,[],[f16])).
22.28/23.40	tff(f351,plain,(
22.28/23.40	  ~$less(sK1,$sum(1,1)) | ~$less(1,sK1)),
22.28/23.40	  inference(Instantiation,[],[f16])).
22.28/23.40	tff(f352,plain,(
22.28/23.40	  ~$less($sum(sK1,sK2),$sum(1,1)) | ~$less(1,$sum(sK1,sK2))),
22.28/23.40	  inference(Instantiation,[],[f16])).
22.28/23.40	tff(f353,plain,(
22.28/23.40	  ~$less(sK0,$sum(1,1)) | ~$less(1,sK0)),
22.28/23.40	  inference(Instantiation,[],[f16])).
22.28/23.40	tff(f358,plain,(
22.28/23.40	  ~$less(sK0,2) | ~$less(1,sK0)),
22.28/23.40	  inference(evaluation,[],[f353])).
22.28/23.40	tff(f359,plain,(
22.28/23.40	  ~$less($sum(sK1,sK2),2) | ~$less(1,$sum(sK1,sK2))),
22.28/23.40	  inference(evaluation,[],[f352])).
22.28/23.40	tff(f360,plain,(
22.28/23.40	  ~$less(sK1,2) | ~$less(1,sK1)),
22.28/23.40	  inference(evaluation,[],[f351])).
22.28/23.40	tff(f361,plain,(
22.28/23.40	  ~$less(sK2,2) | ~$less(1,sK2)),
22.28/23.40	  inference(evaluation,[],[f350])).
22.28/23.40	tff(f362,plain,(
22.28/23.40	  ~$less(sK2,2) | ~$less(1,sK2)),
22.28/23.40	  inference(evaluation,[],[f349])).
22.28/23.40	tff(f363,plain,(
22.28/23.40	  ~$less(sK2,1) | ~$less(0,sK2)),
22.28/23.40	  inference(evaluation,[],[f348])).
22.28/23.40	tff(f364,plain,(
22.28/23.40	  ~$less(sK2,4) | ~$less(3,sK2)),
22.28/23.40	  inference(evaluation,[],[f347])).
22.28/23.40	tff(f365,plain,(
22.28/23.40	  ~$less(sK2,5) | ~$less(4,sK2)),
22.28/23.40	  inference(evaluation,[],[f346])).
22.28/23.40	tff(f366,plain,(
22.28/23.40	  ~$less(4,sK2) | ~spl3_30),
22.28/23.40	  inference(subsumption_resolution,[],[f365,f257])).
22.28/23.40	tff(f367,plain,(
22.28/23.40	  ~spl3_29 | ~spl3_30),
22.28/23.40	  inference(AVATAR_split_clause,[],[f366,f256,f247])).
22.28/23.40	tff(f368,plain,(
22.28/23.40	  ~$less(3,sK2) | ~spl3_34),
22.28/23.40	  inference(subsumption_resolution,[],[f364,f270])).
22.28/23.40	tff(f369,plain,(
22.28/23.40	  ~spl3_33 | ~spl3_34),
22.28/23.40	  inference(AVATAR_split_clause,[],[f368,f269,f260])).
22.28/23.40	tff(f370,plain,(
22.28/23.40	  ~$less(0,sK2) | ~spl3_38),
22.28/23.40	  inference(subsumption_resolution,[],[f363,f283])).
22.28/23.40	tff(f371,plain,(
22.28/23.40	  ~spl3_37 | ~spl3_38),
22.28/23.40	  inference(AVATAR_split_clause,[],[f370,f282,f273])).
22.28/23.40	tff(f372,plain,(
22.28/23.40	  ~$less(1,sK2) | ~spl3_42),
22.28/23.40	  inference(subsumption_resolution,[],[f362,f296])).
22.28/23.40	tff(f373,plain,(
22.28/23.40	  ~spl3_41 | ~spl3_42),
22.28/23.40	  inference(AVATAR_split_clause,[],[f372,f295,f286])).
22.28/23.40	tff(f374,plain,(
22.28/23.40	  ~$less(1,sK2) | ~spl3_42),
22.28/23.40	  inference(subsumption_resolution,[],[f361,f296])).
22.28/23.40	tff(f375,plain,(
22.28/23.40	  ~spl3_41 | ~spl3_42),
22.28/23.40	  inference(AVATAR_split_clause,[],[f374,f295,f286])).
22.28/23.40	tff(f376,plain,(
22.28/23.40	  ~$less(sK1,2) | ~spl3_44),
22.28/23.40	  inference(subsumption_resolution,[],[f360,f304])).
22.28/23.40	tff(f377,plain,(
22.28/23.40	  ~spl3_47 | ~spl3_44),
22.28/23.40	  inference(AVATAR_split_clause,[],[f376,f303,f306])).
22.28/23.40	tff(f378,plain,(
22.28/23.40	  ~$less($sum(sK1,sK2),2) | ~spl3_48),
22.28/23.40	  inference(subsumption_resolution,[],[f359,f317])).
22.28/23.40	tff(f379,plain,(
22.28/23.40	  ~spl3_51 | ~spl3_48),
22.28/23.40	  inference(AVATAR_split_clause,[],[f378,f316,f319])).
22.28/23.40	tff(f380,plain,(
22.28/23.40	  ~$less(1,sK0) | ~spl3_54),
22.28/23.40	  inference(subsumption_resolution,[],[f358,f336])).
22.28/23.40	tff(f381,plain,(
22.28/23.40	  ~spl3_53 | ~spl3_54),
22.28/23.40	  inference(AVATAR_split_clause,[],[f380,f335,f326])).
22.28/23.40	tff(f382,plain,(
22.28/23.40	  ( ! [X0:$int] : (~$less(X0,0) | $less(X0,sK0)) ) | ~spl3_0),
22.28/23.40	  inference(resolution,[],[f11,f35])).
22.28/23.40	tff(f383,plain,(
22.28/23.40	  ( ! [X2:$int,X3:$int,X1:$int] : (~$less(X1,X2) | $less(X1,$sum(X3,1)) | $less(X3,X2)) )),
22.28/23.40	  inference(resolution,[],[f11,f14])).
22.28/23.40	tff(f384,plain,(
22.28/23.40	  ( ! [X4:$int] : ($less(X4,sK1) | ~$less(X4,sK0)) ) | ~spl3_8),
22.28/23.40	  inference(resolution,[],[f11,f62])).
22.28/23.40	tff(f397,plain,(
22.28/23.40	  ~$less(4,sK2) | ~$less(1,4) | $less(1,sK2)),
22.28/23.40	  inference(Instantiation,[],[f11])).
22.28/23.40	tff(f398,plain,(
22.28/23.40	  ~$less(3,sK2) | ~$less(1,3) | $less(1,sK2)),
22.28/23.40	  inference(Instantiation,[],[f11])).
22.28/23.40	tff(f410,plain,(
22.28/23.40	  ~$less(3,sK2) | $less(1,sK2)),
22.28/23.40	  inference(evaluation,[],[f398])).
22.28/23.40	tff(f411,plain,(
22.28/23.40	  ~$less(4,sK2) | $less(1,sK2)),
22.28/23.40	  inference(evaluation,[],[f397])).
22.28/23.40	tff(f414,plain,(
22.28/23.40	  ( ! [X2:$int,X3:$int,X1:$int] : (~$less(X3,X1) | X1 = X2 | $less(X2,X1) | $less(X3,X2)) )),
22.28/23.40	  inference(resolution,[],[f12,f11])).
22.28/23.40	tff(f415,plain,(
22.28/23.40	  ( ! [X4:$int,X5:$int] : ($less($sum(X5,1),X4) | $sum(X5,1) = X4 | ~$less(X5,X4)) )),
22.28/23.40	  inference(resolution,[],[f12,f16])).
22.28/23.40	tff(f416,plain,(
22.28/23.40	  ( ! [X6:$int] : ($less(4,$sum(sK0,X6)) | $sum(sK0,X6) = 4 | ~$less(3,$sum(sK1,$sum(sK2,X6)))) )),
22.28/23.40	  inference(resolution,[],[f12,f29])).
22.28/23.40	tff(f417,plain,(
22.28/23.40	  $less(0,sK1) | 0 = sK1 | ~spl3_3),
22.28/23.40	  inference(resolution,[],[f12,f42])).
22.28/23.40	tff(f418,plain,(
22.28/23.40	  $less(0,sK2) | 0 = sK2 | ~spl3_5),
22.28/23.40	  inference(resolution,[],[f12,f49])).
22.28/23.40	tff(f424,plain,(
22.28/23.40	  $less(0,sK1) | 0 = sK1 | ~spl3_3),
22.28/23.40	  inference(resolution,[],[f12,f42])).
22.28/23.40	tff(f425,plain,(
22.28/23.40	  $less(0,sK2) | 0 = sK2 | ~spl3_5),
22.28/23.40	  inference(resolution,[],[f12,f49])).
22.28/23.40	tff(f450,plain,(
22.28/23.40	  spl3_56 <=> 0 = sK1),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_56])])).
22.28/23.40	tff(f451,plain,(
22.28/23.40	  0 = sK1 | ~spl3_56),
22.28/23.40	  inference(AVATAR_component_clause,[],[f450])).
22.28/23.40	tff(f456,plain,(
22.28/23.40	  spl3_58 <=> $less(0,sK1)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_58])])).
22.28/23.40	tff(f457,plain,(
22.28/23.40	  $less(0,sK1) | ~spl3_58),
22.28/23.40	  inference(AVATAR_component_clause,[],[f456])).
22.28/23.40	tff(f458,plain,(
22.28/23.40	  spl3_56 | spl3_58 | spl3_3),
22.28/23.40	  inference(AVATAR_split_clause,[],[f417,f41,f456,f450])).
22.28/23.40	tff(f459,plain,(
22.28/23.40	  0 = sK2 | (~spl3_5 | ~spl3_37)),
22.28/23.40	  inference(subsumption_resolution,[],[f418,f274])).
22.28/23.40	tff(f461,plain,(
22.28/23.40	  spl3_61 <=> 0 != sK2),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_61])])).
22.28/23.40	tff(f462,plain,(
22.28/23.40	  0 != sK2 | ~spl3_61),
22.28/23.40	  inference(AVATAR_component_clause,[],[f461])).
22.28/23.40	tff(f464,plain,(
22.28/23.40	  spl3_60 <=> 0 = sK2),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_60])])).
22.28/23.40	tff(f465,plain,(
22.28/23.40	  0 = sK2 | ~spl3_60),
22.28/23.40	  inference(AVATAR_component_clause,[],[f464])).
22.28/23.40	tff(f466,plain,(
22.28/23.40	  spl3_60 | spl3_5 | spl3_37),
22.28/23.40	  inference(AVATAR_split_clause,[],[f459,f273,f48,f464])).
22.28/23.40	tff(f467,plain,(
22.28/23.40	  spl3_56 | spl3_58 | spl3_3),
22.28/23.40	  inference(AVATAR_split_clause,[],[f424,f41,f456,f450])).
22.28/23.40	tff(f468,plain,(
22.28/23.40	  0 = sK2 | (~spl3_5 | ~spl3_37)),
22.28/23.40	  inference(subsumption_resolution,[],[f425,f274])).
22.28/23.40	tff(f469,plain,(
22.28/23.40	  spl3_60 | spl3_5 | spl3_37),
22.28/23.40	  inference(AVATAR_split_clause,[],[f468,f273,f48,f464])).
22.28/23.40	tff(f470,plain,(
22.28/23.40	  ( ! [X3:$int] : (~$less(3,$sum(sK1,$sum(0,X3))) | ~$less($sum(sK0,X3),4)) ) | ~spl3_60),
22.28/23.40	  inference(backward_demodulation,[],[f465,f29])).
22.28/23.40	tff(f472,plain,(
22.28/23.40	  ~$less(3,$sum(sK1,0)) | (~spl3_11 | ~spl3_60)),
22.28/23.40	  inference(backward_demodulation,[],[f465,f118])).
22.28/23.40	tff(f473,plain,(
22.28/23.40	  ~$less(3,$sum(sK1,$sum(1,0))) | (~spl3_25 | ~spl3_60)),
22.28/23.40	  inference(backward_demodulation,[],[f465,f167])).
22.28/23.40	tff(f474,plain,(
22.28/23.40	  ~$less(3,$sum(sK1,$sum(0,$uminus(sK0)))) | (~spl3_27 | ~spl3_60)),
22.28/23.40	  inference(backward_demodulation,[],[f465,f189])).
22.28/23.40	tff(f486,plain,(
22.28/23.40	  ( ! [X6:$int] : (~$less(3,$sum(sK1,$sum(0,X6))) | $less(4,$sum(sK0,X6)) | $sum(sK0,X6) = 4) ) | ~spl3_60),
22.28/23.40	  inference(backward_demodulation,[],[f465,f416])).
22.28/23.40	tff(f487,plain,(
22.28/23.40	  ( ! [X6:$int] : (~$less(3,$sum(sK1,X6)) | $less(4,$sum(sK0,X6)) | $sum(sK0,X6) = 4) ) | ~spl3_60),
22.28/23.40	  inference(evaluation,[],[f486])).
22.28/23.40	tff(f491,plain,(
22.28/23.40	  ~$less(3,$sum(sK1,$uminus(sK0))) | (~spl3_27 | ~spl3_60)),
22.28/23.40	  inference(evaluation,[],[f474])).
22.28/23.40	tff(f492,plain,(
22.28/23.40	  ~$less($sum(3,-1),sK1) | (~spl3_25 | ~spl3_60)),
22.28/23.40	  inference(evaluation,[],[f473])).
22.28/23.40	tff(f493,plain,(
22.28/23.40	  ~$less(2,sK1) | (~spl3_25 | ~spl3_60)),
22.28/23.40	  inference(evaluation,[],[f492])).
22.28/23.40	tff(f494,plain,(
22.28/23.40	  ~$less(3,sK1) | (~spl3_11 | ~spl3_60)),
22.28/23.40	  inference(evaluation,[],[f472])).
22.28/23.40	tff(f495,plain,(
22.28/23.40	  ( ! [X3:$int] : (~$less($sum(sK0,X3),4) | ~$less(3,$sum(sK1,X3))) ) | ~spl3_60),
22.28/23.40	  inference(evaluation,[],[f470])).
22.28/23.40	tff(f497,plain,(
22.28/23.40	  spl3_62 <=> $less(3,sK1)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_62])])).
22.28/23.40	tff(f498,plain,(
22.28/23.40	  $less(3,sK1) | ~spl3_62),
22.28/23.40	  inference(AVATAR_component_clause,[],[f497])).
22.28/23.40	tff(f500,plain,(
22.28/23.40	  spl3_63 <=> ~$less(3,sK1)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_63])])).
22.28/23.40	tff(f502,plain,(
22.28/23.40	  ~spl3_63 | spl3_11 | ~spl3_60),
22.28/23.40	  inference(AVATAR_split_clause,[],[f494,f464,f117,f500])).
22.28/23.40	tff(f504,plain,(
22.28/23.40	  spl3_64 <=> $less(2,sK1)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_64])])).
22.28/23.40	tff(f505,plain,(
22.28/23.40	  $less(2,sK1) | ~spl3_64),
22.28/23.40	  inference(AVATAR_component_clause,[],[f504])).
22.28/23.40	tff(f507,plain,(
22.28/23.40	  spl3_65 <=> ~$less(2,sK1)),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_65])])).
22.28/23.40	tff(f508,plain,(
22.28/23.40	  ~$less(2,sK1) | ~spl3_65),
22.28/23.40	  inference(AVATAR_component_clause,[],[f507])).
22.28/23.40	tff(f509,plain,(
22.28/23.40	  ~spl3_65 | spl3_25 | ~spl3_60),
22.28/23.40	  inference(AVATAR_split_clause,[],[f493,f464,f166,f507])).
22.28/23.40	tff(f514,plain,(
22.28/23.40	  spl3_67 <=> ~$less(3,$sum(sK1,$uminus(sK0)))),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_67])])).
22.28/23.40	tff(f515,plain,(
22.28/23.40	  ~$less(3,$sum(sK1,$uminus(sK0))) | ~spl3_67),
22.28/23.40	  inference(AVATAR_component_clause,[],[f514])).
22.28/23.40	tff(f516,plain,(
22.28/23.40	  ~spl3_67 | spl3_27 | ~spl3_60),
22.28/23.40	  inference(AVATAR_split_clause,[],[f491,f464,f188,f514])).
22.28/23.40	tff(f540,plain,(
22.28/23.40	  ( ! [X0:$int,X1:$int] : ($sum(X0,$uminus(X1)) = $uminus($sum(X1,$uminus(X0)))) )),
22.28/23.40	  inference(superposition,[],[f8,f15])).
22.28/23.40	tff(f541,plain,(
22.28/23.40	  ( ! [X0:$int,X1:$int] : ($sum($uminus(X1),X0) = $uminus($sum($uminus(X0),X1))) )),
22.28/23.40	  inference(superposition,[],[f8,f15])).
22.28/23.40	tff(f543,plain,(
22.28/23.40	  ( ! [X4:$int,X3:$int] : ($sum($uminus(X4),$uminus(X3)) = $uminus($sum(X4,X3))) )),
22.28/23.40	  inference(superposition,[],[f8,f5])).
22.28/23.40	tff(f552,plain,(
22.28/23.40	  $sum($uminus(sK2),$uminus(4)) = $uminus($sum(4,sK2))),
22.28/23.40	  inference(Instantiation,[],[f8])).
22.28/23.40	tff(f553,plain,(
22.28/23.40	  $sum($uminus(sK2),$uminus(3)) = $uminus($sum(3,sK2))),
22.28/23.40	  inference(Instantiation,[],[f8])).
22.28/23.40	tff(f555,plain,(
22.28/23.40	  $sum($uminus(sK2),$uminus(1)) = $uminus($sum(1,sK2))),
22.28/23.40	  inference(Instantiation,[],[f8])).
22.28/23.40	tff(f556,plain,(
22.28/23.40	  $sum($uminus(sK2),$uminus(1)) = $uminus($sum(1,sK2))),
22.28/23.40	  inference(Instantiation,[],[f8])).
22.28/23.40	tff(f557,plain,(
22.28/23.40	  $sum($uminus(sK1),$uminus(1)) = $uminus($sum(1,sK1))),
22.28/23.40	  inference(Instantiation,[],[f8])).
22.28/23.40	tff(f558,plain,(
22.28/23.40	  $sum($uminus($sum(sK1,sK2)),$uminus(1)) = $uminus($sum(1,$sum(sK1,sK2)))),
22.28/23.40	  inference(Instantiation,[],[f8])).
22.28/23.40	tff(f559,plain,(
22.28/23.40	  $sum($uminus(sK0),$uminus(1)) = $uminus($sum(1,sK0))),
22.28/23.40	  inference(Instantiation,[],[f8])).
22.28/23.40	tff(f568,plain,(
22.28/23.40	  $sum($uminus(sK0),-1) = $uminus($sum(1,sK0))),
22.28/23.40	  inference(evaluation,[],[f559])).
22.28/23.40	tff(f569,plain,(
22.28/23.40	  $sum($uminus($sum(sK1,sK2)),-1) = $uminus($sum(1,$sum(sK1,sK2)))),
22.28/23.40	  inference(evaluation,[],[f558])).
22.28/23.40	tff(f570,plain,(
22.28/23.40	  $sum($uminus(sK1),-1) = $uminus($sum(1,sK1))),
22.28/23.40	  inference(evaluation,[],[f557])).
22.28/23.40	tff(f571,plain,(
22.28/23.40	  $sum($uminus(sK2),-1) = $uminus($sum(1,sK2))),
22.28/23.40	  inference(evaluation,[],[f556])).
22.28/23.40	tff(f572,plain,(
22.28/23.40	  $sum($uminus(sK2),-1) = $uminus($sum(1,sK2))),
22.28/23.40	  inference(evaluation,[],[f555])).
22.28/23.40	tff(f575,plain,(
22.28/23.40	  $sum($uminus(sK2),-3) = $uminus($sum(3,sK2))),
22.28/23.40	  inference(evaluation,[],[f553])).
22.28/23.40	tff(f576,plain,(
22.28/23.40	  $sum($uminus(sK2),-4) = $uminus($sum(4,sK2))),
22.28/23.40	  inference(evaluation,[],[f552])).
22.28/23.40	tff(f589,plain,(
22.28/23.40	  $sum(-1,$uminus(sK1)) = $uminus($sum(1,sK1))),
22.28/23.40	  inference(forward_demodulation,[],[f570,f5])).
22.28/23.40	tff(f594,plain,(
22.28/23.40	  spl3_68 <=> $sum(-1,$uminus(sK1)) = $uminus($sum(1,sK1))),
22.28/23.40	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_68])])).
22.28/23.40	tff(f595,plain,(
22.28/23.40	  $sum(-1,$uminus(sK1)) = $uminus($sum(1,sK1)) | ~spl3_68),
22.28/23.40	  inference(AVATAR_component_clause,[],[f594])).
22.28/23.40	tff(f596,plain,(
22.28/23.40	  spl3_68),
22.28/23.40	  inference(AVATAR_split_clause,[],[f589,f594])).
22.28/23.40	tff(f597,plain,(
22.28/23.40	  $sum($uminus($sum(sK1,0)),-1) = $uminus($sum(1,$sum(sK1,0))) | ~spl3_60),
22.28/23.40	  inference(forward_demodulation,[],[f569,f465])).
22.28/23.40	tff(f598,plain,(
22.28/23.40	  $sum($uminus(sK1),-1) = $uminus($sum(1,sK1)) | ~spl3_60),
22.28/23.41	  inference(evaluation,[],[f597])).
22.28/23.41	tff(f599,plain,(
22.28/23.41	  $sum(-1,$uminus(sK1)) = $uminus($sum(1,sK1)) | ~spl3_60),
22.28/23.41	  inference(forward_demodulation,[],[f598,f5])).
22.28/23.41	tff(f600,plain,(
22.28/23.41	  spl3_68 | ~spl3_60),
22.28/23.41	  inference(AVATAR_split_clause,[],[f599,f464,f594])).
22.28/23.41	tff(f601,plain,(
22.28/23.41	  $sum(-1,$uminus(sK0)) = $uminus($sum(1,sK0))),
22.28/23.41	  inference(forward_demodulation,[],[f568,f5])).
22.28/23.41	tff(f606,plain,(
22.28/23.41	  spl3_70 <=> $sum(-1,$uminus(sK0)) = $uminus($sum(1,sK0))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_70])])).
22.28/23.41	tff(f607,plain,(
22.28/23.41	  $sum(-1,$uminus(sK0)) = $uminus($sum(1,sK0)) | ~spl3_70),
22.28/23.41	  inference(AVATAR_component_clause,[],[f606])).
22.28/23.41	tff(f608,plain,(
22.28/23.41	  spl3_70),
22.28/23.41	  inference(AVATAR_split_clause,[],[f601,f606])).
22.28/23.41	tff(f609,plain,(
22.28/23.41	  $less(1,sK0) | 1 = sK0 | ~spl3_19),
22.28/23.41	  inference(resolution,[],[f146,f12])).
22.28/23.41	tff(f610,plain,(
22.28/23.41	  $less(1,sK0) | 1 = sK0 | ~spl3_19),
22.28/23.41	  inference(resolution,[],[f146,f12])).
22.28/23.41	tff(f611,plain,(
22.28/23.41	  1 = sK0 | (~spl3_19 | ~spl3_53)),
22.28/23.41	  inference(subsumption_resolution,[],[f609,f327])).
22.28/23.41	tff(f616,plain,(
22.28/23.41	  spl3_72 <=> 1 = sK0),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_72])])).
22.28/23.41	tff(f617,plain,(
22.28/23.41	  1 = sK0 | ~spl3_72),
22.28/23.41	  inference(AVATAR_component_clause,[],[f616])).
22.28/23.41	tff(f618,plain,(
22.28/23.41	  spl3_72 | spl3_19 | spl3_53),
22.28/23.41	  inference(AVATAR_split_clause,[],[f611,f326,f145,f616])).
22.28/23.41	tff(f619,plain,(
22.28/23.41	  1 = sK0 | (~spl3_19 | ~spl3_53)),
22.28/23.41	  inference(subsumption_resolution,[],[f610,f327])).
22.28/23.41	tff(f620,plain,(
22.28/23.41	  spl3_72 | spl3_19 | spl3_53),
22.28/23.41	  inference(AVATAR_split_clause,[],[f619,f326,f145,f616])).
22.28/23.41	tff(f629,plain,(
22.28/23.41	  ( ! [X6:$int] : ($less(4,$sum(1,X6)) | ~$less(3,$sum(sK1,X6)) | $sum(sK0,X6) = 4) ) | (~spl3_60 | ~spl3_72)),
22.28/23.41	  inference(backward_demodulation,[],[f617,f487])).
22.28/23.41	tff(f632,plain,(
22.28/23.41	  ~$less(3,$sum(sK1,$uminus(1))) | (~spl3_67 | ~spl3_72)),
22.28/23.41	  inference(backward_demodulation,[],[f617,f515])).
22.28/23.41	tff(f635,plain,(
22.28/23.41	  ~$less($sum(3,1),sK1) | (~spl3_67 | ~spl3_72)),
22.28/23.41	  inference(evaluation,[],[f632])).
22.28/23.41	tff(f636,plain,(
22.28/23.41	  ~$less(4,sK1) | (~spl3_67 | ~spl3_72)),
22.28/23.41	  inference(evaluation,[],[f635])).
22.28/23.41	tff(f641,plain,(
22.28/23.41	  ( ! [X6:$int] : ($less($sum(4,-1),X6) | ~$less(3,$sum(sK1,X6)) | $sum(sK0,X6) = 4) ) | (~spl3_60 | ~spl3_72)),
22.28/23.41	  inference(evaluation,[],[f629])).
22.28/23.41	tff(f642,plain,(
22.28/23.41	  ( ! [X6:$int] : ($less(3,X6) | ~$less(3,$sum(sK1,X6)) | $sum(sK0,X6) = 4) ) | (~spl3_60 | ~spl3_72)),
22.28/23.41	  inference(evaluation,[],[f641])).
22.28/23.41	tff(f643,plain,(
22.28/23.41	  ( ! [X6:$int] : ($sum(1,X6) = 4 | $less(3,X6) | ~$less(3,$sum(sK1,X6))) ) | (~spl3_60 | ~spl3_72)),
22.28/23.41	  inference(forward_demodulation,[],[f642,f617])).
22.28/23.41	tff(f644,plain,(
22.28/23.41	  ( ! [X6:$int] : ($sum(4,-1) = X6 | $less(3,X6) | ~$less(3,$sum(sK1,X6))) ) | (~spl3_60 | ~spl3_72)),
22.28/23.41	  inference(evaluation,[],[f643])).
22.28/23.41	tff(f645,plain,(
22.28/23.41	  ( ! [X6:$int] : (3 = X6 | $less(3,X6) | ~$less(3,$sum(sK1,X6))) ) | (~spl3_60 | ~spl3_72)),
22.28/23.41	  inference(evaluation,[],[f644])).
22.28/23.41	tff(f650,plain,(
22.28/23.41	  spl3_75 <=> ~$less(4,sK1)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_75])])).
22.28/23.41	tff(f652,plain,(
22.28/23.41	  ~spl3_75 | spl3_67 | ~spl3_72),
22.28/23.41	  inference(AVATAR_split_clause,[],[f636,f616,f514,f650])).
22.28/23.41	tff(f653,plain,(
22.28/23.41	  ( ! [X2:$int,X0:$int,X1:$int] : ($less($sum(X0,X1),$sum($sum(X2,1),X1)) | $less(X2,X0)) )),
22.28/23.41	  inference(resolution,[],[f13,f14])).
22.28/23.41	tff(f654,plain,(
22.28/23.41	  ( ! [X4:$int,X5:$int,X3:$int] : ($less($sum(X3,X4),$sum(X5,X4)) | $less(X5,X3) | X3 = X5) )),
22.28/23.41	  inference(resolution,[],[f13,f12])).
22.28/23.41	tff(f662,plain,(
22.28/23.41	  ~$less(0,sK2) | $less($sum(0,sK2),$sum(sK2,sK2))),
22.28/23.41	  inference(Instantiation,[],[f13])).
22.28/23.41	tff(f668,plain,(
22.28/23.41	  ~$less(1,4) | $less($sum(1,sK2),$sum(4,sK2))),
22.28/23.41	  inference(Instantiation,[],[f13])).
22.28/23.41	tff(f669,plain,(
22.28/23.41	  ~$less(1,3) | $less($sum(1,sK2),$sum(3,sK2))),
22.28/23.41	  inference(Instantiation,[],[f13])).
22.28/23.41	tff(f680,plain,(
22.28/23.41	  $less($sum(1,sK2),$sum(3,sK2))),
22.28/23.41	  inference(evaluation,[],[f669])).
22.28/23.41	tff(f681,plain,(
22.28/23.41	  $less($sum(1,sK2),$sum(4,sK2))),
22.28/23.41	  inference(evaluation,[],[f668])).
22.28/23.41	tff(f682,plain,(
22.28/23.41	  ~$less(0,sK2) | $less(sK2,$sum(sK2,sK2))),
22.28/23.41	  inference(evaluation,[],[f662])).
22.28/23.41	tff(f683,plain,(
22.28/23.41	  ( ! [X2:$int,X0:$int,X1:$int] : ($less($sum(X0,X1),$sum(X2,$sum(1,X1))) | $less(X2,X0)) )),
22.28/23.41	  inference(forward_demodulation,[],[f653,f6])).
22.28/23.41	tff(f688,plain,(
22.28/23.41	  ( ! [X2:$int,X3:$int] : ($sum(0,X3) = $sum(X2,$sum($uminus(X2),X3))) )),
22.28/23.41	  inference(superposition,[],[f6,f9])).
22.28/23.41	tff(f689,plain,(
22.28/23.41	  ( ! [X6:$int,X4:$int,X5:$int] : ($sum(X4,$sum(X5,X6)) = $sum($sum(X5,X4),X6)) )),
22.28/23.41	  inference(superposition,[],[f6,f5])).
22.28/23.41	tff(f691,plain,(
22.28/23.41	  ( ! [X12:$int,X10:$int,X11:$int] : ($sum($uminus($sum(X11,X10)),X12) = $sum($uminus(X10),$sum($uminus(X11),X12))) )),
22.28/23.41	  inference(superposition,[],[f6,f8])).
22.28/23.41	tff(f695,plain,(
22.28/23.41	  ( ! [X8:$int,X7:$int,X9:$int] : ($sum(X7,$sum(X8,X9)) = $sum(X9,$sum(X7,X8))) )),
22.28/23.41	  inference(superposition,[],[f6,f5])).
22.28/23.41	tff(f700,plain,(
22.28/23.41	  ( ! [X10:$int,X8:$int,X9:$int] : (~$less(X10,$sum(X8,$sum(X9,1))) | ~$less($sum(X8,X9),X10)) )),
22.28/23.41	  inference(superposition,[],[f16,f6])).
22.28/23.41	tff(f701,plain,(
22.28/23.41	  ( ! [X12:$int,X13:$int,X11:$int] : ($less(X13,$sum(X11,$sum(X12,1))) | $less($sum(X11,X12),X13)) )),
22.28/23.41	  inference(superposition,[],[f14,f6])).
22.28/23.41	tff(f715,plain,(
22.28/23.41	  $sum($sum(1,4),sK2) = $sum(1,$sum(4,sK2))),
22.28/23.41	  inference(Instantiation,[],[f6])).
22.28/23.41	tff(f716,plain,(
22.28/23.41	  $sum($sum(1,3),sK2) = $sum(1,$sum(3,sK2))),
22.28/23.41	  inference(Instantiation,[],[f6])).
22.28/23.41	tff(f718,plain,(
22.28/23.41	  $sum($sum(1,1),sK2) = $sum(1,$sum(1,sK2))),
22.28/23.41	  inference(Instantiation,[],[f6])).
22.28/23.41	tff(f719,plain,(
22.28/23.41	  $sum($sum(1,1),sK2) = $sum(1,$sum(1,sK2))),
22.28/23.41	  inference(Instantiation,[],[f6])).
22.28/23.41	tff(f720,plain,(
22.28/23.41	  $sum($sum(1,1),sK1) = $sum(1,$sum(1,sK1))),
22.28/23.41	  inference(Instantiation,[],[f6])).
22.28/23.41	tff(f721,plain,(
22.28/23.41	  $sum($sum(1,1),$sum(sK1,sK2)) = $sum(1,$sum(1,$sum(sK1,sK2)))),
22.28/23.41	  inference(Instantiation,[],[f6])).
22.28/23.41	tff(f722,plain,(
22.28/23.41	  $sum($sum(1,1),sK0) = $sum(1,$sum(1,sK0))),
22.28/23.41	  inference(Instantiation,[],[f6])).
22.28/23.41	tff(f731,plain,(
22.28/23.41	  $sum(2,sK0) = $sum(1,$sum(1,sK0))),
22.28/23.41	  inference(evaluation,[],[f722])).
22.28/23.41	tff(f732,plain,(
22.28/23.41	  $sum(2,$sum(sK1,sK2)) = $sum(1,$sum(1,$sum(sK1,sK2)))),
22.28/23.41	  inference(evaluation,[],[f721])).
22.28/23.41	tff(f733,plain,(
22.28/23.41	  $sum(2,sK1) = $sum(1,$sum(1,sK1))),
22.28/23.41	  inference(evaluation,[],[f720])).
22.28/23.41	tff(f734,plain,(
22.28/23.41	  $sum(2,sK2) = $sum(1,$sum(1,sK2))),
22.28/23.41	  inference(evaluation,[],[f719])).
22.28/23.41	tff(f735,plain,(
22.28/23.41	  $sum(2,sK2) = $sum(1,$sum(1,sK2))),
22.28/23.41	  inference(evaluation,[],[f718])).
22.28/23.41	tff(f737,plain,(
22.28/23.41	  $sum(4,sK2) = $sum(1,$sum(3,sK2))),
22.28/23.41	  inference(evaluation,[],[f716])).
22.28/23.41	tff(f738,plain,(
22.28/23.41	  $sum(5,sK2) = $sum(1,$sum(4,sK2))),
22.28/23.41	  inference(evaluation,[],[f715])).
22.28/23.41	tff(f742,plain,(
22.28/23.41	  ( ! [X2:$int,X3:$int] : ($sum(X2,$sum($uminus(X2),X3)) = X3) )),
22.28/23.41	  inference(evaluation,[],[f688])).
22.28/23.41	tff(f758,plain,(
22.28/23.41	  spl3_76 <=> $sum(2,sK1) = $sum(1,$sum(1,sK1))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_76])])).
22.28/23.41	tff(f759,plain,(
22.28/23.41	  $sum(2,sK1) = $sum(1,$sum(1,sK1)) | ~spl3_76),
22.28/23.41	  inference(AVATAR_component_clause,[],[f758])).
22.28/23.41	tff(f760,plain,(
22.28/23.41	  spl3_76),
22.28/23.41	  inference(AVATAR_split_clause,[],[f733,f758])).
22.28/23.41	tff(f761,plain,(
22.28/23.41	  $sum(2,$sum(sK1,0)) = $sum(1,$sum(1,$sum(sK1,0))) | ~spl3_60),
22.28/23.41	  inference(forward_demodulation,[],[f732,f465])).
22.28/23.41	tff(f762,plain,(
22.28/23.41	  $sum(2,sK1) = $sum(1,$sum(1,sK1)) | ~spl3_60),
22.28/23.41	  inference(evaluation,[],[f761])).
22.28/23.41	tff(f763,plain,(
22.28/23.41	  spl3_76 | ~spl3_60),
22.28/23.41	  inference(AVATAR_split_clause,[],[f762,f464,f758])).
22.28/23.41	tff(f766,plain,(
22.28/23.41	  ( ! [X0:$int] : ($less($sum(0,X0),$sum(sK1,X0))) ) | ~spl3_58),
22.28/23.41	  inference(resolution,[],[f457,f13])).
22.28/23.41	tff(f767,plain,(
22.28/23.41	  ( ! [X1:$int] : (~$less(X1,0) | $less(X1,sK1)) ) | ~spl3_58),
22.28/23.41	  inference(resolution,[],[f457,f11])).
22.28/23.41	tff(f768,plain,(
22.28/23.41	  ( ! [X0:$int] : ($less(X0,$sum(sK1,X0))) ) | ~spl3_58),
22.28/23.41	  inference(evaluation,[],[f766])).
22.28/23.41	tff(f803,plain,(
22.28/23.41	  $less(2,sK1) | sK1 = 2 | ~spl3_47),
22.28/23.41	  inference(resolution,[],[f307,f12])).
22.28/23.41	tff(f804,plain,(
22.28/23.41	  $less(2,sK1) | sK1 = 2 | ~spl3_47),
22.28/23.41	  inference(resolution,[],[f307,f12])).
22.28/23.41	tff(f805,plain,(
22.28/23.41	  sK1 = 2 | (~spl3_47 | ~spl3_65)),
22.28/23.41	  inference(subsumption_resolution,[],[f803,f508])).
22.28/23.41	tff(f810,plain,(
22.28/23.41	  spl3_78 <=> sK1 = 2),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_78])])).
22.28/23.41	tff(f811,plain,(
22.28/23.41	  sK1 = 2 | ~spl3_78),
22.28/23.41	  inference(AVATAR_component_clause,[],[f810])).
22.28/23.41	tff(f812,plain,(
22.28/23.41	  spl3_78 | spl3_47 | spl3_65),
22.28/23.41	  inference(AVATAR_split_clause,[],[f805,f507,f306,f810])).
22.28/23.41	tff(f813,plain,(
22.28/23.41	  sK1 = 2 | (~spl3_47 | ~spl3_65)),
22.28/23.41	  inference(subsumption_resolution,[],[f804,f508])).
22.28/23.41	tff(f814,plain,(
22.28/23.41	  spl3_78 | spl3_47 | spl3_65),
22.28/23.41	  inference(AVATAR_split_clause,[],[f813,f507,f306,f810])).
22.28/23.41	tff(f824,plain,(
22.28/23.41	  ( ! [X6:$int] : (~$less(3,$sum(2,X6)) | 3 = X6 | $less(3,X6)) ) | (~spl3_60 | ~spl3_72 | ~spl3_78)),
22.28/23.41	  inference(backward_demodulation,[],[f811,f645])).
22.28/23.41	tff(f832,plain,(
22.28/23.41	  ( ! [X6:$int] : (~$less($sum(3,-2),X6) | 3 = X6 | $less(3,X6)) ) | (~spl3_60 | ~spl3_72 | ~spl3_78)),
22.28/23.41	  inference(evaluation,[],[f824])).
22.28/23.41	tff(f833,plain,(
22.28/23.41	  ( ! [X6:$int] : (~$less(1,X6) | 3 = X6 | $less(3,X6)) ) | (~spl3_60 | ~spl3_72 | ~spl3_78)),
22.28/23.41	  inference(evaluation,[],[f832])).
22.28/23.41	tff(f881,plain,(
22.28/23.41	  3 = $sum(1,1) | $less(3,$sum(1,1)) | (~spl3_60 | ~spl3_72 | ~spl3_78)),
22.28/23.41	  inference(resolution,[],[f218,f833])).
22.28/23.41	tff(f895,plain,(
22.28/23.41	  $false | (~spl3_60 | ~spl3_72 | ~spl3_78)),
22.28/23.41	  inference(evaluation,[],[f881])).
22.28/23.41	tff(f896,plain,(
22.28/23.41	  ~spl3_60 | ~spl3_72 | ~spl3_78),
22.28/23.41	  inference(AVATAR_contradiction_clause,[],[f895,f810,f616,f464])).
22.28/23.41	tff(f898,plain,(
22.28/23.41	  spl3_60 | spl3_36 | spl3_5),
22.28/23.41	  inference(AVATAR_split_clause,[],[f425,f48,f276,f464])).
22.28/23.41	tff(f899,plain,(
22.28/23.41	  spl3_60 | spl3_36 | spl3_5),
22.28/23.41	  inference(AVATAR_split_clause,[],[f418,f48,f276,f464])).
22.28/23.41	tff(f900,plain,(
22.28/23.41	  ~spl3_37 | ~spl3_39),
22.28/23.41	  inference(AVATAR_split_clause,[],[f363,f279,f273])).
22.28/23.41	tff(f901,plain,(
22.28/23.41	  spl3_72 | spl3_52 | spl3_19),
22.28/23.41	  inference(AVATAR_split_clause,[],[f610,f145,f329,f616])).
22.28/23.41	tff(f902,plain,(
22.28/23.41	  spl3_72 | spl3_52 | spl3_19),
22.28/23.41	  inference(AVATAR_split_clause,[],[f609,f145,f329,f616])).
22.28/23.41	tff(f903,plain,(
22.28/23.41	  ~spl3_53 | ~spl3_55),
22.28/23.41	  inference(AVATAR_split_clause,[],[f358,f332,f326])).
22.28/23.41	tff(f908,plain,(
22.28/23.41	  spl3_80 <=> $sum(2,$sum(sK1,sK2)) = $sum(1,$sum(1,$sum(sK1,sK2)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_80])])).
22.28/23.41	tff(f910,plain,(
22.28/23.41	  spl3_80),
22.28/23.41	  inference(AVATAR_split_clause,[],[f732,f908])).
22.28/23.41	tff(f915,plain,(
22.28/23.41	  spl3_82 <=> $sum(2,sK2) = $sum(1,$sum(1,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_82])])).
22.28/23.41	tff(f917,plain,(
22.28/23.41	  spl3_82),
22.28/23.41	  inference(AVATAR_split_clause,[],[f734,f915])).
22.28/23.41	tff(f918,plain,(
22.28/23.41	  spl3_82),
22.28/23.41	  inference(AVATAR_split_clause,[],[f735,f915])).
22.28/23.41	tff(f923,plain,(
22.28/23.41	  spl3_84 <=> $sum(4,sK2) = $sum(1,$sum(3,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_84])])).
22.28/23.41	tff(f925,plain,(
22.28/23.41	  spl3_84),
22.28/23.41	  inference(AVATAR_split_clause,[],[f737,f923])).
22.28/23.41	tff(f930,plain,(
22.28/23.41	  spl3_86 <=> $sum(5,sK2) = $sum(1,$sum(4,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_86])])).
22.28/23.41	tff(f932,plain,(
22.28/23.41	  spl3_86),
22.28/23.41	  inference(AVATAR_split_clause,[],[f738,f930])).
22.28/23.41	tff(f937,plain,(
22.28/23.41	  spl3_88 <=> $less($sum(1,sK2),$sum(3,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_88])])).
22.28/23.41	tff(f939,plain,(
22.28/23.41	  spl3_88),
22.28/23.41	  inference(AVATAR_split_clause,[],[f680,f937])).
22.28/23.41	tff(f944,plain,(
22.28/23.41	  spl3_90 <=> $less($sum(1,sK2),$sum(4,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_90])])).
22.28/23.41	tff(f946,plain,(
22.28/23.41	  spl3_90),
22.28/23.41	  inference(AVATAR_split_clause,[],[f681,f944])).
22.28/23.41	tff(f951,plain,(
22.28/23.41	  spl3_92 <=> $less(sK2,$sum(sK2,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_92])])).
22.28/23.41	tff(f953,plain,(
22.28/23.41	  spl3_92 | ~spl3_37),
22.28/23.41	  inference(AVATAR_split_clause,[],[f682,f273,f951])).
22.28/23.41	tff(f954,plain,(
22.28/23.41	  $sum(-1,$uminus($sum(sK1,sK2))) = $uminus($sum(1,$sum(sK1,sK2)))),
22.28/23.41	  inference(forward_demodulation,[],[f569,f5])).
22.28/23.41	tff(f959,plain,(
22.28/23.41	  spl3_94 <=> $sum(-1,$uminus($sum(sK1,sK2))) = $uminus($sum(1,$sum(sK1,sK2)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_94])])).
22.28/23.41	tff(f960,plain,(
22.28/23.41	  $sum(-1,$uminus($sum(sK1,sK2))) = $uminus($sum(1,$sum(sK1,sK2))) | ~spl3_94),
22.28/23.41	  inference(AVATAR_component_clause,[],[f959])).
22.28/23.41	tff(f961,plain,(
22.28/23.41	  spl3_94),
22.28/23.41	  inference(AVATAR_split_clause,[],[f954,f959])).
22.28/23.41	tff(f962,plain,(
22.28/23.41	  $sum(-1,$uminus(sK2)) = $uminus($sum(1,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f571,f5])).
22.28/23.41	tff(f967,plain,(
22.28/23.41	  spl3_96 <=> $sum(-1,$uminus(sK2)) = $uminus($sum(1,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_96])])).
22.28/23.41	tff(f968,plain,(
22.28/23.41	  $sum(-1,$uminus(sK2)) = $uminus($sum(1,sK2)) | ~spl3_96),
22.28/23.41	  inference(AVATAR_component_clause,[],[f967])).
22.28/23.41	tff(f969,plain,(
22.28/23.41	  spl3_96),
22.28/23.41	  inference(AVATAR_split_clause,[],[f962,f967])).
22.28/23.41	tff(f970,plain,(
22.28/23.41	  $sum(-1,$uminus(sK2)) = $uminus($sum(1,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f572,f5])).
22.28/23.41	tff(f971,plain,(
22.28/23.41	  spl3_96),
22.28/23.41	  inference(AVATAR_split_clause,[],[f970,f967])).
22.28/23.41	tff(f972,plain,(
22.28/23.41	  $sum(-3,$uminus(sK2)) = $uminus($sum(3,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f575,f5])).
22.28/23.41	tff(f977,plain,(
22.28/23.41	  spl3_98 <=> $sum(-3,$uminus(sK2)) = $uminus($sum(3,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_98])])).
22.28/23.41	tff(f978,plain,(
22.28/23.41	  $sum(-3,$uminus(sK2)) = $uminus($sum(3,sK2)) | ~spl3_98),
22.28/23.41	  inference(AVATAR_component_clause,[],[f977])).
22.28/23.41	tff(f979,plain,(
22.28/23.41	  spl3_98),
22.28/23.41	  inference(AVATAR_split_clause,[],[f972,f977])).
22.28/23.41	tff(f980,plain,(
22.28/23.41	  $sum(-4,$uminus(sK2)) = $uminus($sum(4,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f576,f5])).
22.28/23.41	tff(f985,plain,(
22.28/23.41	  spl3_100 <=> $sum(-4,$uminus(sK2)) = $uminus($sum(4,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_100])])).
22.28/23.41	tff(f986,plain,(
22.28/23.41	  $sum(-4,$uminus(sK2)) = $uminus($sum(4,sK2)) | ~spl3_100),
22.28/23.41	  inference(AVATAR_component_clause,[],[f985])).
22.28/23.41	tff(f987,plain,(
22.28/23.41	  spl3_100),
22.28/23.41	  inference(AVATAR_split_clause,[],[f980,f985])).
22.28/23.41	tff(f988,plain,(
22.28/23.41	  spl3_78 | spl3_64 | spl3_47),
22.28/23.41	  inference(AVATAR_split_clause,[],[f804,f306,f504,f810])).
22.28/23.41	tff(f989,plain,(
22.28/23.41	  spl3_78 | spl3_64 | spl3_47),
22.28/23.41	  inference(AVATAR_split_clause,[],[f803,f306,f504,f810])).
22.28/23.41	tff(f994,plain,(
22.28/23.41	  spl3_102 <=> $sum(2,sK0) = $sum(1,$sum(1,sK0))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_102])])).
22.28/23.41	tff(f996,plain,(
22.28/23.41	  spl3_102),
22.28/23.41	  inference(AVATAR_split_clause,[],[f731,f994])).
22.28/23.41	tff(f997,plain,(
22.28/23.41	  ( ! [X0:$int] : ($less($sum(0,X0),$sum(sK0,X0))) ) | ~spl3_0),
22.28/23.41	  inference(resolution,[],[f35,f13])).
22.28/23.41	tff(f999,plain,(
22.28/23.41	  ( ! [X0:$int] : ($less(X0,$sum(sK0,X0))) ) | ~spl3_0),
22.28/23.41	  inference(evaluation,[],[f997])).
22.28/23.41	tff(f1000,plain,(
22.28/23.41	  $less(0,sK1) | 0 = sK1 | ~spl3_3),
22.28/23.41	  inference(resolution,[],[f42,f12])).
22.28/23.41	tff(f1001,plain,(
22.28/23.41	  $less(0,sK1) | 0 = sK1 | ~spl3_3),
22.28/23.41	  inference(resolution,[],[f42,f12])).
22.28/23.41	tff(f1002,plain,(
22.28/23.41	  $less(0,sK2) | 0 = sK2 | ~spl3_5),
22.28/23.41	  inference(resolution,[],[f49,f12])).
22.28/23.41	tff(f1003,plain,(
22.28/23.41	  $less(0,sK2) | 0 = sK2 | ~spl3_5),
22.28/23.41	  inference(resolution,[],[f49,f12])).
22.28/23.41	tff(f1004,plain,(
22.28/23.41	  ( ! [X0:$int] : ($less($sum(sK0,X0),$sum(sK1,X0))) ) | ~spl3_8),
22.28/23.41	  inference(resolution,[],[f62,f13])).
22.28/23.41	tff(f1029,plain,(
22.28/23.41	  $less(4,sK0) | 4 = sK0 | ~spl3_13),
22.28/23.41	  inference(resolution,[],[f124,f12])).
22.28/23.41	tff(f1030,plain,(
22.28/23.41	  $less(4,sK0) | 4 = sK0 | ~spl3_13),
22.28/23.41	  inference(resolution,[],[f124,f12])).
22.28/23.41	tff(f1035,plain,(
22.28/23.41	  spl3_104 <=> 4 = sK0),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_104])])).
22.28/23.41	tff(f1036,plain,(
22.28/23.41	  4 = sK0 | ~spl3_104),
22.28/23.41	  inference(AVATAR_component_clause,[],[f1035])).
22.28/23.41	tff(f1041,plain,(
22.28/23.41	  spl3_106 <=> $less(4,sK0)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_106])])).
22.28/23.41	tff(f1043,plain,(
22.28/23.41	  spl3_104 | spl3_106 | spl3_13),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1029,f123,f1041,f1035])).
22.28/23.41	tff(f1044,plain,(
22.28/23.41	  spl3_104 | spl3_106 | spl3_13),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1030,f123,f1041,f1035])).
22.28/23.41	tff(f1049,plain,(
22.28/23.41	  $less(3,sK0) | 3 = sK0 | ~spl3_23),
22.28/23.41	  inference(resolution,[],[f161,f12])).
22.28/23.41	tff(f1050,plain,(
22.28/23.41	  $less(3,sK0) | 3 = sK0 | ~spl3_23),
22.28/23.41	  inference(resolution,[],[f161,f12])).
22.28/23.41	tff(f1055,plain,(
22.28/23.41	  spl3_108 <=> 3 = sK0),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_108])])).
22.28/23.41	tff(f1061,plain,(
22.28/23.41	  spl3_110 <=> $less(3,sK0)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_110])])).
22.28/23.41	tff(f1063,plain,(
22.28/23.41	  spl3_108 | spl3_110 | spl3_23),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1049,f160,f1061,f1055])).
22.28/23.41	tff(f1064,plain,(
22.28/23.41	  spl3_108 | spl3_110 | spl3_23),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1050,f160,f1061,f1055])).
22.28/23.41	tff(f1068,plain,(
22.28/23.41	  ( ! [X0:$int] : ($less($sum(2,X0),$sum(sK1,X0))) ) | ~spl3_64),
22.28/23.41	  inference(resolution,[],[f505,f13])).
22.28/23.41	tff(f1069,plain,(
22.28/23.41	  ( ! [X1:$int] : (~$less(X1,2) | $less(X1,sK1)) ) | ~spl3_64),
22.28/23.41	  inference(resolution,[],[f505,f11])).
22.28/23.41	tff(f1072,plain,(
22.28/23.41	  ( ! [X2:$int,X3:$int] : ($less(X2,$sum(sK0,X3)) | ~$less(X2,X3)) ) | ~spl3_0),
22.28/23.41	  inference(resolution,[],[f999,f11])).
22.28/23.41	tff(f1074,plain,(
22.28/23.41	  $less($uminus(sK0),0) | ~spl3_0),
22.28/23.41	  inference(superposition,[],[f999,f9])).
22.28/23.41	tff(f1097,plain,(
22.28/23.41	  spl3_112 <=> $less($uminus(sK0),0)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_112])])).
22.28/23.41	tff(f1098,plain,(
22.28/23.41	  $less($uminus(sK0),0) | ~spl3_112),
22.28/23.41	  inference(AVATAR_component_clause,[],[f1097])).
22.28/23.41	tff(f1099,plain,(
22.28/23.41	  spl3_112 | ~spl3_0),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1074,f34,f1097])).
22.28/23.41	tff(f1112,plain,(
22.28/23.41	  ~$less(sK1,sK0) | ~spl3_8),
22.28/23.41	  inference(resolution,[],[f384,f10])).
22.28/23.41	tff(f1129,plain,(
22.28/23.41	  spl3_115 <=> ~$less(sK1,sK0)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_115])])).
22.28/23.41	tff(f1131,plain,(
22.28/23.41	  ~spl3_115 | ~spl3_8),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1112,f61,f1129])).
22.28/23.41	tff(f1145,plain,(
22.28/23.41	  $less(1,sK2) | 1 = sK2 | ~spl3_39),
22.28/23.41	  inference(resolution,[],[f280,f12])).
22.28/23.41	tff(f1146,plain,(
22.28/23.41	  $less(1,sK2) | 1 = sK2 | ~spl3_39),
22.28/23.41	  inference(resolution,[],[f280,f12])).
22.28/23.41	tff(f1147,plain,(
22.28/23.41	  1 = sK2 | (~spl3_39 | ~spl3_41)),
22.28/23.41	  inference(subsumption_resolution,[],[f1145,f287])).
22.28/23.41	tff(f1152,plain,(
22.28/23.41	  spl3_116 <=> 1 = sK2),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_116])])).
22.28/23.41	tff(f1153,plain,(
22.28/23.41	  1 = sK2 | ~spl3_116),
22.28/23.41	  inference(AVATAR_component_clause,[],[f1152])).
22.28/23.41	tff(f1154,plain,(
22.28/23.41	  spl3_116 | spl3_39 | spl3_41),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1147,f286,f279,f1152])).
22.28/23.41	tff(f1155,plain,(
22.28/23.41	  1 = sK2 | (~spl3_39 | ~spl3_41)),
22.28/23.41	  inference(subsumption_resolution,[],[f1146,f287])).
22.28/23.41	tff(f1156,plain,(
22.28/23.41	  spl3_116 | spl3_39 | spl3_41),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1155,f286,f279,f1152])).
22.28/23.41	tff(f1157,plain,(
22.28/23.41	  ( ! [X3:$int] : (~$less(3,$sum(sK1,$sum(1,X3))) | ~$less($sum(sK0,X3),4)) ) | ~spl3_116),
22.28/23.41	  inference(backward_demodulation,[],[f1153,f29])).
22.28/23.41	tff(f1159,plain,(
22.28/23.41	  ~$less(3,$sum(sK1,$sum(1,$uminus(sK0)))) | (~spl3_27 | ~spl3_116)),
22.28/23.41	  inference(backward_demodulation,[],[f1153,f189])).
22.28/23.41	tff(f1170,plain,(
22.28/23.41	  ~$less($sum(sK1,1),2) | (~spl3_51 | ~spl3_116)),
22.28/23.41	  inference(backward_demodulation,[],[f1153,f320])).
22.28/23.41	tff(f1179,plain,(
22.28/23.41	  $sum(-1,$uminus($sum(sK1,1))) = $uminus($sum(1,$sum(sK1,1))) | (~spl3_94 | ~spl3_116)),
22.28/23.41	  inference(backward_demodulation,[],[f1153,f960])).
22.28/23.41	tff(f1195,plain,(
22.28/23.41	  ~$less(sK1,$sum(2,-1)) | (~spl3_51 | ~spl3_116)),
22.28/23.41	  inference(evaluation,[],[f1170])).
22.28/23.41	tff(f1196,plain,(
22.28/23.41	  ~$less(sK1,1) | (~spl3_51 | ~spl3_116)),
22.28/23.41	  inference(evaluation,[],[f1195])).
22.28/23.41	tff(f1199,plain,(
22.28/23.41	  ( ! [X3:$int] : (~$less($sum(sK0,X3),4) | ~$less(3,$sum(1,$sum(X3,sK1)))) ) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f1157,f695])).
22.28/23.41	tff(f1200,plain,(
22.28/23.41	  ~$less(3,$sum(1,$sum($uminus(sK0),sK1))) | (~spl3_27 | ~spl3_116)),
22.28/23.41	  inference(forward_demodulation,[],[f1159,f695])).
22.28/23.41	tff(f1201,plain,(
22.28/23.41	  ~$less(3,$sum(1,$sum(sK1,$uminus(sK0)))) | (~spl3_27 | ~spl3_116)),
22.28/23.41	  inference(forward_demodulation,[],[f1200,f5])).
22.28/23.41	tff(f1206,plain,(
22.28/23.41	  spl3_119 <=> ~$less(3,$sum(1,$sum(sK1,$uminus(sK0))))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_119])])).
22.28/23.41	tff(f1207,plain,(
22.28/23.41	  ~$less(3,$sum(1,$sum(sK1,$uminus(sK0)))) | ~spl3_119),
22.28/23.41	  inference(AVATAR_component_clause,[],[f1206])).
22.28/23.41	tff(f1208,plain,(
22.28/23.41	  ~spl3_119 | spl3_27 | ~spl3_116),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1201,f1152,f188,f1206])).
22.28/23.41	tff(f1214,plain,(
22.28/23.41	  spl3_121 <=> ~$less(sK1,1)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_121])])).
22.28/23.41	tff(f1215,plain,(
22.28/23.41	  ~$less(sK1,1) | ~spl3_121),
22.28/23.41	  inference(AVATAR_component_clause,[],[f1214])).
22.28/23.41	tff(f1216,plain,(
22.28/23.41	  ~spl3_121 | spl3_51 | ~spl3_116),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1196,f1152,f319,f1214])).
22.28/23.41	tff(f1220,plain,(
22.28/23.41	  $sum(-1,$uminus($sum(sK1,1))) = $uminus($sum(1,$sum(1,sK1))) | (~spl3_94 | ~spl3_116)),
22.28/23.41	  inference(forward_demodulation,[],[f1179,f695])).
22.28/23.41	tff(f1221,plain,(
22.28/23.41	  $sum(-1,$uminus($sum(sK1,1))) = $uminus($sum(2,sK1)) | (~spl3_76 | ~spl3_94 | ~spl3_116)),
22.28/23.41	  inference(forward_demodulation,[],[f1220,f759])).
22.28/23.41	tff(f1222,plain,(
22.28/23.41	  $sum(-1,$uminus($sum(1,sK1))) = $uminus($sum(2,sK1)) | (~spl3_76 | ~spl3_94 | ~spl3_116)),
22.28/23.41	  inference(forward_demodulation,[],[f1221,f5])).
22.28/23.41	tff(f1223,plain,(
22.28/23.41	  $sum(-1,$sum(-1,$uminus(sK1))) = $uminus($sum(2,sK1)) | (~spl3_68 | ~spl3_76 | ~spl3_94 | ~spl3_116)),
22.28/23.41	  inference(forward_demodulation,[],[f1222,f595])).
22.28/23.41	tff(f1228,plain,(
22.28/23.41	  spl3_122 <=> $sum(-1,$sum(-1,$uminus(sK1))) = $uminus($sum(2,sK1))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_122])])).
22.28/23.41	tff(f1229,plain,(
22.28/23.41	  $sum(-1,$sum(-1,$uminus(sK1))) = $uminus($sum(2,sK1)) | ~spl3_122),
22.28/23.41	  inference(AVATAR_component_clause,[],[f1228])).
22.28/23.41	tff(f1230,plain,(
22.28/23.41	  spl3_122 | ~spl3_68 | ~spl3_76 | ~spl3_94 | ~spl3_116),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1223,f1152,f959,f758,f594,f1228])).
22.28/23.41	tff(f1266,plain,(
22.28/23.41	  $less(2,sK0) | sK0 = 2 | ~spl3_55),
22.28/23.41	  inference(resolution,[],[f333,f12])).
22.28/23.41	tff(f1267,plain,(
22.28/23.41	  $less(2,sK0) | sK0 = 2 | ~spl3_55),
22.28/23.41	  inference(resolution,[],[f333,f12])).
22.28/23.41	tff(f1272,plain,(
22.28/23.41	  spl3_124 <=> sK0 = 2),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_124])])).
22.28/23.41	tff(f1278,plain,(
22.28/23.41	  spl3_126 <=> $less(2,sK0)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_126])])).
22.28/23.41	tff(f1280,plain,(
22.28/23.41	  spl3_124 | spl3_126 | spl3_55),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1266,f332,f1278,f1272])).
22.28/23.41	tff(f1281,plain,(
22.28/23.41	  spl3_124 | spl3_126 | spl3_55),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1267,f332,f1278,f1272])).
22.28/23.41	tff(f1284,plain,(
22.28/23.41	  $less(1,sK1) | 1 = sK1 | ~spl3_121),
22.28/23.41	  inference(resolution,[],[f1215,f12])).
22.28/23.41	tff(f1285,plain,(
22.28/23.41	  $less(1,sK1) | 1 = sK1 | ~spl3_121),
22.28/23.41	  inference(resolution,[],[f1215,f12])).
22.28/23.41	tff(f1286,plain,(
22.28/23.41	  ~$less(sK1,$sum(sK0,1)) | ~spl3_8),
22.28/23.41	  inference(resolution,[],[f1004,f16])).
22.28/23.41	tff(f1290,plain,(
22.28/23.41	  $less(0,$sum(sK1,$uminus(sK0))) | ~spl3_8),
22.28/23.41	  inference(superposition,[],[f1004,f9])).
22.28/23.41	tff(f1294,plain,(
22.28/23.41	  $less($sum(sK0,$uminus(sK1)),0) | ~spl3_8),
22.28/23.41	  inference(superposition,[],[f1004,f9])).
22.28/23.41	tff(f1308,plain,(
22.28/23.41	  ~$less(sK1,$sum(1,sK0)) | ~spl3_8),
22.28/23.41	  inference(forward_demodulation,[],[f1286,f5])).
22.28/23.41	tff(f1313,plain,(
22.28/23.41	  spl3_129 <=> ~$less(sK1,$sum(1,sK0))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_129])])).
22.28/23.41	tff(f1315,plain,(
22.28/23.41	  ~spl3_129 | ~spl3_8),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1308,f61,f1313])).
22.28/23.41	tff(f1322,plain,(
22.28/23.41	  spl3_130 <=> $less(0,$sum(sK1,$uminus(sK0)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_130])])).
22.28/23.41	tff(f1324,plain,(
22.28/23.41	  spl3_130 | ~spl3_8),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1290,f61,f1322])).
22.28/23.41	tff(f1326,plain,(
22.28/23.41	  spl3_133 <=> ~$less($sum(sK0,$uminus(sK1)),0)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_133])])).
22.28/23.41	tff(f1327,plain,(
22.28/23.41	  ~$less($sum(sK0,$uminus(sK1)),0) | ~spl3_133),
22.28/23.41	  inference(AVATAR_component_clause,[],[f1326])).
22.28/23.41	tff(f1329,plain,(
22.28/23.41	  spl3_132 <=> $less($sum(sK0,$uminus(sK1)),0)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_132])])).
22.28/23.41	tff(f1330,plain,(
22.28/23.41	  $less($sum(sK0,$uminus(sK1)),0) | ~spl3_132),
22.28/23.41	  inference(AVATAR_component_clause,[],[f1329])).
22.28/23.41	tff(f1331,plain,(
22.28/23.41	  spl3_132 | ~spl3_8),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1294,f61,f1329])).
22.28/23.41	tff(f1393,plain,(
22.28/23.41	  $less($sum(sK1,$uminus(sK0)),3) | ~spl3_119),
22.28/23.41	  inference(resolution,[],[f219,f1207])).
22.28/23.41	tff(f1406,plain,(
22.28/23.41	  $less(sK2,$sum(1,4)) | $less(4,sK2)),
22.28/23.41	  inference(Instantiation,[],[f219])).
22.28/23.41	tff(f1407,plain,(
22.28/23.41	  $less(sK2,$sum(1,3)) | $less(3,sK2)),
22.28/23.41	  inference(Instantiation,[],[f219])).
22.28/23.41	tff(f1409,plain,(
22.28/23.41	  $less(sK2,$sum(1,1)) | $less(1,sK2)),
22.28/23.41	  inference(Instantiation,[],[f219])).
22.28/23.41	tff(f1410,plain,(
22.28/23.41	  $less(sK2,$sum(1,1)) | $less(1,sK2)),
22.28/23.41	  inference(Instantiation,[],[f219])).
22.28/23.41	tff(f1411,plain,(
22.28/23.41	  $less(sK1,$sum(1,1)) | $less(1,sK1)),
22.28/23.41	  inference(Instantiation,[],[f219])).
22.28/23.41	tff(f1412,plain,(
22.28/23.41	  $less($sum(sK1,sK2),$sum(1,1)) | $less(1,$sum(sK1,sK2))),
22.28/23.41	  inference(Instantiation,[],[f219])).
22.28/23.41	tff(f1419,plain,(
22.28/23.41	  $less($sum(sK1,sK2),2) | $less(1,$sum(sK1,sK2))),
22.28/23.41	  inference(evaluation,[],[f1412])).
22.28/23.41	tff(f1420,plain,(
22.28/23.41	  $less(sK1,2) | $less(1,sK1)),
22.28/23.41	  inference(evaluation,[],[f1411])).
22.28/23.41	tff(f1421,plain,(
22.28/23.41	  $less(sK2,2) | $less(1,sK2)),
22.28/23.41	  inference(evaluation,[],[f1410])).
22.28/23.41	tff(f1422,plain,(
22.28/23.41	  $less(sK2,2) | $less(1,sK2)),
22.28/23.41	  inference(evaluation,[],[f1409])).
22.28/23.41	tff(f1424,plain,(
22.28/23.41	  $less(sK2,4) | $less(3,sK2)),
22.28/23.41	  inference(evaluation,[],[f1407])).
22.28/23.41	tff(f1425,plain,(
22.28/23.41	  $less(sK2,5) | $less(4,sK2)),
22.28/23.41	  inference(evaluation,[],[f1406])).
22.28/23.41	tff(f1431,plain,(
22.28/23.41	  spl3_134 <=> $less($sum(sK1,$uminus(sK0)),3)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_134])])).
22.28/23.41	tff(f1432,plain,(
22.28/23.41	  $less($sum(sK1,$uminus(sK0)),3) | ~spl3_134),
22.28/23.41	  inference(AVATAR_component_clause,[],[f1431])).
22.28/23.41	tff(f1433,plain,(
22.28/23.41	  spl3_134 | spl3_119),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1393,f1206,f1431])).
22.28/23.41	tff(f1460,plain,(
22.28/23.41	  ~$less(sK2,$sum(1,4)) | ~$less(4,sK2)),
22.28/23.41	  inference(Instantiation,[],[f339])).
22.28/23.41	tff(f1461,plain,(
22.28/23.41	  ~$less(sK2,$sum(1,3)) | ~$less(3,sK2)),
22.28/23.41	  inference(Instantiation,[],[f339])).
22.28/23.41	tff(f1463,plain,(
22.28/23.41	  ~$less(sK2,$sum(1,1)) | ~$less(1,sK2)),
22.28/23.41	  inference(Instantiation,[],[f339])).
22.28/23.41	tff(f1464,plain,(
22.28/23.41	  ~$less(sK2,$sum(1,1)) | ~$less(1,sK2)),
22.28/23.41	  inference(Instantiation,[],[f339])).
22.28/23.41	tff(f1465,plain,(
22.28/23.41	  ~$less(sK1,$sum(1,1)) | ~$less(1,sK1)),
22.28/23.41	  inference(Instantiation,[],[f339])).
22.28/23.41	tff(f1466,plain,(
22.28/23.41	  ~$less($sum(sK1,sK2),$sum(1,1)) | ~$less(1,$sum(sK1,sK2))),
22.28/23.41	  inference(Instantiation,[],[f339])).
22.28/23.41	tff(f1473,plain,(
22.28/23.41	  ~$less($sum(sK1,sK2),2) | ~$less(1,$sum(sK1,sK2))),
22.28/23.41	  inference(evaluation,[],[f1466])).
22.28/23.41	tff(f1474,plain,(
22.28/23.41	  ~$less(sK1,2) | ~$less(1,sK1)),
22.28/23.41	  inference(evaluation,[],[f1465])).
22.28/23.41	tff(f1475,plain,(
22.28/23.41	  ~$less(sK2,2) | ~$less(1,sK2)),
22.28/23.41	  inference(evaluation,[],[f1464])).
22.28/23.41	tff(f1476,plain,(
22.28/23.41	  ~$less(sK2,2) | ~$less(1,sK2)),
22.28/23.41	  inference(evaluation,[],[f1463])).
22.28/23.41	tff(f1478,plain,(
22.28/23.41	  ~$less(sK2,4) | ~$less(3,sK2)),
22.28/23.41	  inference(evaluation,[],[f1461])).
22.28/23.41	tff(f1479,plain,(
22.28/23.41	  ~$less(sK2,5) | ~$less(4,sK2)),
22.28/23.41	  inference(evaluation,[],[f1460])).
22.28/23.41	tff(f1497,plain,(
22.28/23.41	  ( ! [X0:$int,X1:$int] : ($sum(X0,$uminus($sum(X1,X0))) = $uminus(X1)) )),
22.28/23.41	  inference(superposition,[],[f742,f8])).
22.28/23.41	tff(f1509,plain,(
22.28/23.41	  ( ! [X14:$int] : ($less(X14,$sum(sK1,$sum($uminus(sK0),X14)))) ) | ~spl3_8),
22.28/23.41	  inference(superposition,[],[f1004,f742])).
22.28/23.41	tff(f1511,plain,(
22.28/23.41	  ( ! [X16:$int] : ($less($sum($uminus(sK0),X16),X16)) ) | ~spl3_0),
22.28/23.41	  inference(superposition,[],[f999,f742])).
22.28/23.41	tff(f1512,plain,(
22.28/23.41	  ( ! [X17:$int] : ($less($sum(sK0,$sum($uminus(sK1),X17)),X17)) ) | ~spl3_8),
22.28/23.41	  inference(superposition,[],[f1004,f742])).
22.28/23.41	tff(f1517,plain,(
22.28/23.41	  $sum(4,$sum($uminus(4),sK2)) = sK2),
22.28/23.41	  inference(Instantiation,[],[f742])).
22.28/23.41	tff(f1518,plain,(
22.28/23.41	  $sum(3,$sum($uminus(3),sK2)) = sK2),
22.28/23.41	  inference(Instantiation,[],[f742])).
22.28/23.41	tff(f1520,plain,(
22.28/23.41	  $sum(1,$sum($uminus(1),sK2)) = sK2),
22.28/23.41	  inference(Instantiation,[],[f742])).
22.28/23.41	tff(f1521,plain,(
22.28/23.41	  $sum(1,$sum($uminus(1),sK2)) = sK2),
22.28/23.41	  inference(Instantiation,[],[f742])).
22.28/23.41	tff(f1522,plain,(
22.28/23.41	  $sum(1,$sum($uminus(1),sK1)) = sK1),
22.28/23.41	  inference(Instantiation,[],[f742])).
22.28/23.41	tff(f1523,plain,(
22.28/23.41	  $sum(sK1,sK2) = $sum(1,$sum($uminus(1),$sum(sK1,sK2)))),
22.28/23.41	  inference(Instantiation,[],[f742])).
22.28/23.41	tff(f1524,plain,(
22.28/23.41	  $sum(1,$sum($uminus(1),sK0)) = sK0),
22.28/23.41	  inference(Instantiation,[],[f742])).
22.28/23.41	tff(f1537,plain,(
22.28/23.41	  $sum(1,$sum(-1,sK0)) = sK0),
22.28/23.41	  inference(evaluation,[],[f1524])).
22.28/23.41	tff(f1538,plain,(
22.28/23.41	  $sum(sK1,sK2) = $sum(1,$sum(-1,$sum(sK1,sK2)))),
22.28/23.41	  inference(evaluation,[],[f1523])).
22.28/23.41	tff(f1539,plain,(
22.28/23.41	  $sum(1,$sum(-1,sK1)) = sK1),
22.28/23.41	  inference(evaluation,[],[f1522])).
22.28/23.41	tff(f1540,plain,(
22.28/23.41	  $sum(1,$sum(-1,sK2)) = sK2),
22.28/23.41	  inference(evaluation,[],[f1521])).
22.28/23.41	tff(f1541,plain,(
22.28/23.41	  $sum(1,$sum(-1,sK2)) = sK2),
22.28/23.41	  inference(evaluation,[],[f1520])).
22.28/23.41	tff(f1545,plain,(
22.28/23.41	  $sum(3,$sum(-3,sK2)) = sK2),
22.28/23.41	  inference(evaluation,[],[f1518])).
22.28/23.41	tff(f1546,plain,(
22.28/23.41	  $sum(4,$sum(-4,sK2)) = sK2),
22.28/23.41	  inference(evaluation,[],[f1517])).
22.28/23.41	tff(f1566,plain,(
22.28/23.41	  spl3_136 <=> $sum(1,$sum(-1,sK1)) = sK1),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_136])])).
22.28/23.41	tff(f1567,plain,(
22.28/23.41	  $sum(1,$sum(-1,sK1)) = sK1 | ~spl3_136),
22.28/23.41	  inference(AVATAR_component_clause,[],[f1566])).
22.28/23.41	tff(f1568,plain,(
22.28/23.41	  spl3_136),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1539,f1566])).
22.28/23.41	tff(f1569,plain,(
22.28/23.41	  $sum(sK1,1) = $sum(1,$sum(-1,$sum(sK1,1))) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f1538,f1153])).
22.28/23.41	tff(f1570,plain,(
22.28/23.41	  $sum(sK1,1) = $sum(1,$sum(1,$sum(-1,sK1))) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f1569,f695])).
22.28/23.41	tff(f1571,plain,(
22.28/23.41	  $sum(1,sK1) = $sum(1,$sum(1,$sum(-1,sK1))) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f1570,f5])).
22.28/23.41	tff(f1576,plain,(
22.28/23.41	  spl3_138 <=> $sum(1,sK1) = $sum(1,$sum(1,$sum(-1,sK1)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_138])])).
22.28/23.41	tff(f1578,plain,(
22.28/23.41	  spl3_138 | ~spl3_116),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1571,f1152,f1576])).
22.28/23.41	tff(f1583,plain,(
22.28/23.41	  spl3_140 <=> $sum(1,$sum(-1,sK0)) = sK0),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_140])])).
22.28/23.41	tff(f1585,plain,(
22.28/23.41	  spl3_140),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1537,f1583])).
22.28/23.41	tff(f1626,plain,(
22.28/23.41	  $sum($sum(-1,$uminus(sK1)),$sum(1,sK1)) = 0 | ~spl3_68),
22.28/23.41	  inference(superposition,[],[f169,f595])).
22.28/23.41	tff(f1628,plain,(
22.28/23.41	  ( ! [X2:$int] : ($sum($sum(-1,$uminus(sK1)),$uminus(X2)) = $uminus($sum(X2,$sum(1,sK1)))) ) | ~spl3_68),
22.28/23.41	  inference(superposition,[],[f8,f595])).
22.28/23.41	tff(f1629,plain,(
22.28/23.41	  $sum($sum(1,sK1),$sum(-1,$uminus(sK1))) = 0 | ~spl3_68),
22.28/23.41	  inference(superposition,[],[f9,f595])).
22.28/23.41	tff(f1630,plain,(
22.28/23.41	  $sum(1,sK1) = $uminus($sum(-1,$uminus(sK1))) | ~spl3_68),
22.28/23.41	  inference(superposition,[],[f15,f595])).
22.28/23.41	tff(f1636,plain,(
22.28/23.41	  spl3_142 <=> $sum($sum(-1,$uminus(sK1)),$sum(1,sK1)) = 0),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_142])])).
22.28/23.41	tff(f1638,plain,(
22.28/23.41	  spl3_142 | ~spl3_68),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1626,f594,f1636])).
22.28/23.41	tff(f1644,plain,(
22.28/23.41	  spl3_144 <=> $sum($sum(1,sK1),$sum(-1,$uminus(sK1))) = 0),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_144])])).
22.28/23.41	tff(f1646,plain,(
22.28/23.41	  spl3_144 | ~spl3_68),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1629,f594,f1644])).
22.28/23.41	tff(f1651,plain,(
22.28/23.41	  spl3_146 <=> $sum(1,sK1) = $uminus($sum(-1,$uminus(sK1)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_146])])).
22.28/23.41	tff(f1653,plain,(
22.28/23.41	  spl3_146 | ~spl3_68),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1630,f594,f1651])).
22.28/23.41	tff(f1655,plain,(
22.28/23.41	  $sum($sum(-1,$uminus(sK0)),$sum(1,sK0)) = 0 | ~spl3_70),
22.28/23.41	  inference(superposition,[],[f169,f607])).
22.28/23.41	tff(f1658,plain,(
22.28/23.41	  $sum($sum(1,sK0),$sum(-1,$uminus(sK0))) = 0 | ~spl3_70),
22.28/23.41	  inference(superposition,[],[f9,f607])).
22.28/23.41	tff(f1659,plain,(
22.28/23.41	  $sum(1,sK0) = $uminus($sum(-1,$uminus(sK0))) | ~spl3_70),
22.28/23.41	  inference(superposition,[],[f15,f607])).
22.28/23.41	tff(f1665,plain,(
22.28/23.41	  spl3_148 <=> $sum($sum(-1,$uminus(sK0)),$sum(1,sK0)) = 0),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_148])])).
22.28/23.41	tff(f1667,plain,(
22.28/23.41	  spl3_148 | ~spl3_70),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1655,f606,f1665])).
22.28/23.41	tff(f1673,plain,(
22.28/23.41	  spl3_150 <=> $sum($sum(1,sK0),$sum(-1,$uminus(sK0))) = 0),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_150])])).
22.28/23.41	tff(f1675,plain,(
22.28/23.41	  spl3_150 | ~spl3_70),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1658,f606,f1673])).
22.28/23.41	tff(f1680,plain,(
22.28/23.41	  spl3_152 <=> $sum(1,sK0) = $uminus($sum(-1,$uminus(sK0)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_152])])).
22.28/23.41	tff(f1682,plain,(
22.28/23.41	  spl3_152 | ~spl3_70),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1659,f606,f1680])).
22.28/23.41	tff(f1696,plain,(
22.28/23.41	  ( ! [X6:$int,X4:$int,X5:$int] : ($sum($sum(X4,$uminus(X5)),$uminus(X6)) = $uminus($sum(X6,$sum(X5,$uminus(X4))))) )),
22.28/23.41	  inference(superposition,[],[f540,f540])).
22.28/23.41	tff(f1704,plain,(
22.28/23.41	  ( ! [X4:$int,X5:$int,X3:$int] : ($sum($sum(X4,$uminus(X3)),$uminus(X5)) = $uminus($sum(X5,$sum(X3,$uminus(X4))))) )),
22.28/23.41	  inference(superposition,[],[f8,f540])).
22.28/23.41	tff(f1713,plain,(
22.28/23.41	  $sum(4,$uminus(sK2)) = $uminus($sum(sK2,$uminus(4)))),
22.28/23.41	  inference(Instantiation,[],[f540])).
22.28/23.41	tff(f1714,plain,(
22.28/23.41	  $sum(3,$uminus(sK2)) = $uminus($sum(sK2,$uminus(3)))),
22.28/23.41	  inference(Instantiation,[],[f540])).
22.28/23.41	tff(f1716,plain,(
22.28/23.41	  $sum(1,$uminus(sK2)) = $uminus($sum(sK2,$uminus(1)))),
22.28/23.41	  inference(Instantiation,[],[f540])).
22.28/23.41	tff(f1717,plain,(
22.28/23.41	  $sum(1,$uminus(sK2)) = $uminus($sum(sK2,$uminus(1)))),
22.28/23.41	  inference(Instantiation,[],[f540])).
22.28/23.41	tff(f1718,plain,(
22.28/23.41	  $sum(1,$uminus(sK1)) = $uminus($sum(sK1,$uminus(1)))),
22.28/23.41	  inference(Instantiation,[],[f540])).
22.28/23.41	tff(f1719,plain,(
22.28/23.41	  $sum(1,$uminus($sum(sK1,sK2))) = $uminus($sum($sum(sK1,sK2),$uminus(1)))),
22.28/23.41	  inference(Instantiation,[],[f540])).
22.28/23.41	tff(f1720,plain,(
22.28/23.41	  $sum(1,$uminus(sK0)) = $uminus($sum(sK0,$uminus(1)))),
22.28/23.41	  inference(Instantiation,[],[f540])).
22.28/23.41	tff(f1733,plain,(
22.28/23.41	  $sum(1,$uminus(sK0)) = $uminus($sum(sK0,-1))),
22.28/23.41	  inference(evaluation,[],[f1720])).
22.28/23.41	tff(f1734,plain,(
22.28/23.41	  $sum(1,$uminus($sum(sK1,sK2))) = $uminus($sum($sum(sK1,sK2),-1))),
22.28/23.41	  inference(evaluation,[],[f1719])).
22.28/23.41	tff(f1735,plain,(
22.28/23.41	  $sum(1,$uminus(sK1)) = $uminus($sum(sK1,-1))),
22.28/23.41	  inference(evaluation,[],[f1718])).
22.28/23.41	tff(f1736,plain,(
22.28/23.41	  $sum(1,$uminus(sK2)) = $uminus($sum(sK2,-1))),
22.28/23.41	  inference(evaluation,[],[f1717])).
22.28/23.41	tff(f1737,plain,(
22.28/23.41	  $sum(1,$uminus(sK2)) = $uminus($sum(sK2,-1))),
22.28/23.41	  inference(evaluation,[],[f1716])).
22.28/23.41	tff(f1740,plain,(
22.28/23.41	  $sum(3,$uminus(sK2)) = $uminus($sum(sK2,-3))),
22.28/23.41	  inference(evaluation,[],[f1714])).
22.28/23.41	tff(f1741,plain,(
22.28/23.41	  $sum(4,$uminus(sK2)) = $uminus($sum(sK2,-4))),
22.28/23.41	  inference(evaluation,[],[f1713])).
22.28/23.41	tff(f1745,plain,(
22.28/23.41	  ( ! [X6:$int,X4:$int,X5:$int] : ($sum(X4,$sum($uminus(X5),$uminus(X6))) = $uminus($sum(X6,$sum(X5,$uminus(X4))))) )),
22.28/23.41	  inference(forward_demodulation,[],[f1696,f6])).
22.28/23.41	tff(f1746,plain,(
22.28/23.41	  ( ! [X6:$int,X4:$int,X5:$int] : ($sum(X4,$uminus($sum(X6,X5))) = $uminus($sum(X6,$sum(X5,$uminus(X4))))) )),
22.28/23.41	  inference(forward_demodulation,[],[f1745,f8])).
22.28/23.41	tff(f1750,plain,(
22.28/23.41	  ( ! [X4:$int,X5:$int,X3:$int] : ($sum(X4,$uminus($sum(X5,X3))) = $sum($sum(X4,$uminus(X3)),$uminus(X5))) )),
22.28/23.41	  inference(forward_demodulation,[],[f1704,f1746])).
22.28/23.41	tff(f1751,plain,(
22.28/23.41	  ( ! [X2:$int] : ($sum(-1,$uminus($sum(X2,sK1))) = $uminus($sum(X2,$sum(1,sK1)))) ) | ~spl3_68),
22.28/23.41	  inference(backward_demodulation,[],[f1750,f1628])).
22.28/23.41	tff(f1754,plain,(
22.28/23.41	  $sum(4,$uminus(sK2)) = $uminus($sum(-4,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f1741,f5])).
22.28/23.41	tff(f1757,plain,(
22.28/23.41	  $sum(3,$uminus(sK2)) = $uminus($sum(-3,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f1740,f5])).
22.28/23.41	tff(f1760,plain,(
22.28/23.41	  $sum(1,$uminus(sK2)) = $uminus($sum(-1,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f1737,f5])).
22.28/23.41	tff(f1763,plain,(
22.28/23.41	  $sum(1,$uminus(sK2)) = $uminus($sum(-1,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f1736,f5])).
22.28/23.41	tff(f1766,plain,(
22.28/23.41	  $sum(1,$uminus(sK1)) = $uminus($sum(-1,sK1))),
22.28/23.41	  inference(forward_demodulation,[],[f1735,f5])).
22.28/23.41	tff(f1771,plain,(
22.28/23.41	  spl3_154 <=> $sum(1,$uminus(sK1)) = $uminus($sum(-1,sK1))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_154])])).
22.28/23.41	tff(f1773,plain,(
22.28/23.41	  spl3_154),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1766,f1771])).
22.28/23.41	tff(f1774,plain,(
22.28/23.41	  $sum(1,$uminus($sum(sK1,sK2))) = $uminus($sum(-1,$sum(sK1,sK2)))),
22.28/23.41	  inference(forward_demodulation,[],[f1734,f5])).
22.28/23.41	tff(f1778,plain,(
22.28/23.41	  $sum(1,$uminus(sK0)) = $uminus($sum(-1,sK0))),
22.28/23.41	  inference(forward_demodulation,[],[f1733,f5])).
22.28/23.41	tff(f1783,plain,(
22.28/23.41	  spl3_156 <=> $sum(1,$uminus(sK0)) = $uminus($sum(-1,sK0))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_156])])).
22.28/23.41	tff(f1785,plain,(
22.28/23.41	  spl3_156),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1778,f1783])).
22.28/23.41	tff(f1795,plain,(
22.28/23.41	  ( ! [X8:$int,X7:$int] : ($sum($uminus($sum($uminus($uminus(X7)),X8)),X7) = $uminus(X8)) )),
22.28/23.41	  inference(superposition,[],[f541,f742])).
22.28/23.41	tff(f1811,plain,(
22.28/23.41	  $sum($uminus(sK2),4) = $uminus($sum($uminus(4),sK2))),
22.28/23.41	  inference(Instantiation,[],[f541])).
22.28/23.41	tff(f1812,plain,(
22.28/23.41	  $sum($uminus(sK2),3) = $uminus($sum($uminus(3),sK2))),
22.28/23.41	  inference(Instantiation,[],[f541])).
22.28/23.41	tff(f1814,plain,(
22.28/23.41	  $sum($uminus(sK2),1) = $uminus($sum($uminus(1),sK2))),
22.28/23.41	  inference(Instantiation,[],[f541])).
22.28/23.41	tff(f1815,plain,(
22.28/23.41	  $sum($uminus(sK2),1) = $uminus($sum($uminus(1),sK2))),
22.28/23.41	  inference(Instantiation,[],[f541])).
22.28/23.41	tff(f1817,plain,(
22.28/23.41	  $sum($uminus($sum(sK1,sK2)),1) = $uminus($sum($uminus(1),$sum(sK1,sK2)))),
22.28/23.41	  inference(Instantiation,[],[f541])).
22.28/23.41	tff(f1832,plain,(
22.28/23.41	  $sum($uminus($sum(sK1,sK2)),1) = $uminus($sum(-1,$sum(sK1,sK2)))),
22.28/23.41	  inference(evaluation,[],[f1817])).
22.28/23.41	tff(f1834,plain,(
22.28/23.41	  $sum($uminus(sK2),1) = $uminus($sum(-1,sK2))),
22.28/23.41	  inference(evaluation,[],[f1815])).
22.28/23.41	tff(f1835,plain,(
22.28/23.41	  $sum($uminus(sK2),1) = $uminus($sum(-1,sK2))),
22.28/23.41	  inference(evaluation,[],[f1814])).
22.28/23.41	tff(f1838,plain,(
22.28/23.41	  $sum($uminus(sK2),3) = $uminus($sum(-3,sK2))),
22.28/23.41	  inference(evaluation,[],[f1812])).
22.28/23.41	tff(f1839,plain,(
22.28/23.41	  $sum($uminus(sK2),4) = $uminus($sum(-4,sK2))),
22.28/23.41	  inference(evaluation,[],[f1811])).
22.28/23.41	tff(f1853,plain,(
22.28/23.41	  ( ! [X8:$int,X7:$int] : ($sum($sum($uminus(X8),$uminus(X7)),X7) = $uminus(X8)) )),
22.28/23.41	  inference(forward_demodulation,[],[f1795,f541])).
22.28/23.41	tff(f1854,plain,(
22.28/23.41	  ( ! [X8:$int,X7:$int] : ($sum($uminus($sum(X7,X8)),X7) = $uminus(X8)) )),
22.28/23.41	  inference(forward_demodulation,[],[f1853,f8])).
22.28/23.41	tff(f1878,plain,(
22.28/23.41	  ( ! [X2:$int] : ($sum($sum(-1,$uminus(sK1)),$uminus(X2)) = $uminus($sum($sum(1,sK1),X2))) ) | ~spl3_68),
22.28/23.41	  inference(superposition,[],[f543,f595])).
22.28/23.41	tff(f1887,plain,(
22.28/23.41	  ( ! [X2:$int,X3:$int] : ($uminus($sum(X2,X3)) = $uminus($sum(X3,X2))) )),
22.28/23.41	  inference(superposition,[],[f543,f8])).
22.28/23.41	tff(f1905,plain,(
22.28/23.41	  $sum($uminus(sK2),$uminus(4)) = $uminus($sum(sK2,4))),
22.28/23.41	  inference(Instantiation,[],[f543])).
22.28/23.41	tff(f1906,plain,(
22.28/23.41	  $sum($uminus(sK2),$uminus(3)) = $uminus($sum(sK2,3))),
22.28/23.41	  inference(Instantiation,[],[f543])).
22.28/23.41	tff(f1908,plain,(
22.28/23.41	  $sum($uminus(sK2),$uminus(1)) = $uminus($sum(sK2,1))),
22.28/23.41	  inference(Instantiation,[],[f543])).
22.28/23.41	tff(f1909,plain,(
22.28/23.41	  $sum($uminus(sK2),$uminus(1)) = $uminus($sum(sK2,1))),
22.28/23.41	  inference(Instantiation,[],[f543])).
22.28/23.41	tff(f1924,plain,(
22.28/23.41	  $sum($uminus(sK2),-1) = $uminus($sum(sK2,1))),
22.28/23.41	  inference(evaluation,[],[f1909])).
22.28/23.41	tff(f1925,plain,(
22.28/23.41	  $sum($uminus(sK2),-1) = $uminus($sum(sK2,1))),
22.28/23.41	  inference(evaluation,[],[f1908])).
22.28/23.41	tff(f1928,plain,(
22.28/23.41	  $sum($uminus(sK2),-3) = $uminus($sum(sK2,3))),
22.28/23.41	  inference(evaluation,[],[f1906])).
22.28/23.41	tff(f1929,plain,(
22.28/23.41	  $sum($uminus(sK2),-4) = $uminus($sum(sK2,4))),
22.28/23.41	  inference(evaluation,[],[f1905])).
22.28/23.41	tff(f1930,plain,(
22.28/23.41	  ( ! [X2:$int] : ($sum($sum(-1,$uminus(sK1)),$uminus(X2)) = $uminus($sum(1,$sum(sK1,X2)))) ) | ~spl3_68),
22.28/23.41	  inference(forward_demodulation,[],[f1878,f6])).
22.28/23.41	tff(f1931,plain,(
22.28/23.41	  ( ! [X2:$int] : ($sum(-1,$uminus($sum(X2,sK1))) = $uminus($sum(1,$sum(sK1,X2)))) ) | ~spl3_68),
22.28/23.41	  inference(forward_demodulation,[],[f1930,f1750])).
22.28/23.41	tff(f1956,plain,(
22.28/23.41	  $sum($uminus(sK2),-4) = $uminus($sum(4,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f1929,f5])).
22.28/23.41	tff(f1959,plain,(
22.28/23.41	  $sum($uminus(sK2),-3) = $uminus($sum(3,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f1928,f5])).
22.28/23.41	tff(f1962,plain,(
22.28/23.41	  $sum($uminus(sK2),-1) = $uminus($sum(1,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f1925,f5])).
22.28/23.41	tff(f1965,plain,(
22.28/23.41	  $sum($uminus(sK2),-1) = $uminus($sum(1,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f1924,f5])).
22.28/23.41	tff(f1988,plain,(
22.28/23.41	  ( ! [X24:$int] : ($less(0,$sum(X24,1)) | $less(X24,sK0)) ) | ~spl3_0),
22.28/23.41	  inference(resolution,[],[f383,f35])).
22.28/23.41	tff(f1989,plain,(
22.28/23.41	  ( ! [X25:$int] : ($less(0,$sum(X25,1)) | $less(X25,sK1)) ) | ~spl3_58),
22.28/23.41	  inference(resolution,[],[f383,f457])).
22.28/23.41	tff(f1999,plain,(
22.28/23.41	  ~$less(4,sK2) | $less(4,$sum(sK2,1)) | $less(sK2,sK2)),
22.28/23.41	  inference(Instantiation,[],[f383])).
22.28/23.41	tff(f2000,plain,(
22.28/23.41	  ~$less(3,sK2) | $less(3,$sum(sK2,1)) | $less(sK2,sK2)),
22.28/23.41	  inference(Instantiation,[],[f383])).
22.28/23.41	tff(f2001,plain,(
22.28/23.41	  ~$less(0,sK2) | $less(0,$sum(sK2,1)) | $less(sK2,sK2)),
22.28/23.41	  inference(Instantiation,[],[f383])).
22.28/23.41	tff(f2002,plain,(
22.28/23.41	  ~$less(1,sK2) | $less(1,$sum(sK2,1)) | $less(sK2,sK2)),
22.28/23.41	  inference(Instantiation,[],[f383])).
22.28/23.41	tff(f2003,plain,(
22.28/23.41	  ~$less(1,sK2) | $less(1,$sum(sK2,1)) | $less(sK2,sK2)),
22.28/23.41	  inference(Instantiation,[],[f383])).
22.28/23.41	tff(f2004,plain,(
22.28/23.41	  ~$less(1,sK1) | $less(1,$sum(sK2,1)) | $less(sK2,sK1)),
22.28/23.41	  inference(Instantiation,[],[f383])).
22.28/23.41	tff(f2005,plain,(
22.28/23.41	  ~$less(1,$sum(sK1,sK2)) | $less(1,$sum(sK2,1)) | $less(sK2,$sum(sK1,sK2))),
22.28/23.41	  inference(Instantiation,[],[f383])).
22.28/23.41	tff(f2007,plain,(
22.28/23.41	  ~$less(1,4) | $less(1,$sum(sK2,1)) | $less(sK2,4)),
22.28/23.41	  inference(Instantiation,[],[f383])).
22.28/23.41	tff(f2008,plain,(
22.28/23.41	  ~$less(1,3) | $less(1,$sum(sK2,1)) | $less(sK2,3)),
22.28/23.41	  inference(Instantiation,[],[f383])).
22.28/23.41	tff(f2019,plain,(
22.28/23.41	  $less($sum(1,-1),sK2) | $less(sK2,3)),
22.28/23.41	  inference(evaluation,[],[f2008])).
22.28/23.41	tff(f2020,plain,(
22.28/23.41	  $less(0,sK2) | $less(sK2,3)),
22.28/23.41	  inference(evaluation,[],[f2019])).
22.28/23.41	tff(f2021,plain,(
22.28/23.41	  $less($sum(1,-1),sK2) | $less(sK2,4)),
22.28/23.41	  inference(evaluation,[],[f2007])).
22.28/23.41	tff(f2022,plain,(
22.28/23.41	  $less(0,sK2) | $less(sK2,4)),
22.28/23.41	  inference(evaluation,[],[f2021])).
22.28/23.41	tff(f2025,plain,(
22.28/23.41	  ~$less(1,$sum(sK1,sK2)) | $less($sum(1,-1),sK2) | $less(sK2,$sum(sK1,sK2))),
22.28/23.41	  inference(evaluation,[],[f2005])).
22.28/23.41	tff(f2026,plain,(
22.28/23.41	  ~$less(1,$sum(sK1,sK2)) | $less(0,sK2) | $less(sK2,$sum(sK1,sK2))),
22.28/23.41	  inference(evaluation,[],[f2025])).
22.28/23.41	tff(f2027,plain,(
22.28/23.41	  ~$less(1,sK1) | $less($sum(1,-1),sK2) | $less(sK2,sK1)),
22.28/23.41	  inference(evaluation,[],[f2004])).
22.28/23.41	tff(f2028,plain,(
22.28/23.41	  ~$less(1,sK1) | $less(0,sK2) | $less(sK2,sK1)),
22.28/23.41	  inference(evaluation,[],[f2027])).
22.28/23.41	tff(f2029,plain,(
22.28/23.41	  ~$less(1,sK2) | $less($sum(1,-1),sK2) | $less(sK2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2003])).
22.28/23.41	tff(f2030,plain,(
22.28/23.41	  ~$less(1,sK2) | $less(0,sK2) | $less(sK2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2029])).
22.28/23.41	tff(f2031,plain,(
22.28/23.41	  ~$less(1,sK2) | $less($sum(1,-1),sK2) | $less(sK2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2002])).
22.28/23.41	tff(f2032,plain,(
22.28/23.41	  ~$less(1,sK2) | $less(0,sK2) | $less(sK2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2031])).
22.28/23.41	tff(f2033,plain,(
22.28/23.41	  ~$less(0,sK2) | $less($uminus(1),sK2) | $less(sK2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2001])).
22.28/23.41	tff(f2034,plain,(
22.28/23.41	  ~$less(0,sK2) | $less(-1,sK2) | $less(sK2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2033])).
22.28/23.41	tff(f2035,plain,(
22.28/23.41	  ~$less(3,sK2) | $less($sum(3,-1),sK2) | $less(sK2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2000])).
22.28/23.41	tff(f2036,plain,(
22.28/23.41	  ~$less(3,sK2) | $less(2,sK2) | $less(sK2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2035])).
22.28/23.41	tff(f2037,plain,(
22.28/23.41	  ~$less(4,sK2) | $less($sum(4,-1),sK2) | $less(sK2,sK2)),
22.28/23.41	  inference(evaluation,[],[f1999])).
22.28/23.41	tff(f2038,plain,(
22.28/23.41	  ~$less(4,sK2) | $less(3,sK2) | $less(sK2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2037])).
22.28/23.41	tff(f2045,plain,(
22.28/23.41	  ( ! [X25:$int] : ($less($uminus(1),X25) | $less(X25,sK1)) ) | ~spl3_58),
22.28/23.41	  inference(evaluation,[],[f1989])).
22.28/23.41	tff(f2046,plain,(
22.28/23.41	  ( ! [X25:$int] : ($less(-1,X25) | $less(X25,sK1)) ) | ~spl3_58),
22.28/23.41	  inference(evaluation,[],[f2045])).
22.28/23.41	tff(f2047,plain,(
22.28/23.41	  ( ! [X24:$int] : ($less($uminus(1),X24) | $less(X24,sK0)) ) | ~spl3_0),
22.28/23.41	  inference(evaluation,[],[f1988])).
22.28/23.41	tff(f2048,plain,(
22.28/23.41	  ( ! [X24:$int] : ($less(-1,X24) | $less(X24,sK0)) ) | ~spl3_0),
22.28/23.41	  inference(evaluation,[],[f2047])).
22.28/23.41	tff(f2055,plain,(
22.28/23.41	  ~$less(4,sK2) | $less(3,sK2)),
22.28/23.41	  inference(subsumption_resolution,[],[f2038,f10])).
22.28/23.41	tff(f2057,plain,(
22.28/23.41	  ~$less(3,sK2) | $less(2,sK2)),
22.28/23.41	  inference(subsumption_resolution,[],[f2036,f10])).
22.28/23.41	tff(f2059,plain,(
22.28/23.41	  ~$less(0,sK2) | $less(-1,sK2)),
22.28/23.41	  inference(subsumption_resolution,[],[f2034,f10])).
22.28/23.41	tff(f2063,plain,(
22.28/23.41	  ~$less(1,sK2) | $less(0,sK2)),
22.28/23.41	  inference(subsumption_resolution,[],[f2032,f10])).
22.28/23.41	tff(f2065,plain,(
22.28/23.41	  ~$less(1,sK2) | $less(0,sK2)),
22.28/23.41	  inference(subsumption_resolution,[],[f2030,f10])).
22.28/23.41	tff(f2111,plain,(
22.28/23.41	  $sum($sum(4,1),sK2) = $sum(1,$sum(4,sK2))),
22.28/23.41	  inference(Instantiation,[],[f689])).
22.28/23.41	tff(f2112,plain,(
22.28/23.41	  $sum($sum(3,1),sK2) = $sum(1,$sum(3,sK2))),
22.28/23.41	  inference(Instantiation,[],[f689])).
22.28/23.41	tff(f2114,plain,(
22.28/23.41	  $sum($sum(1,1),sK2) = $sum(1,$sum(1,sK2))),
22.28/23.41	  inference(Instantiation,[],[f689])).
22.28/23.41	tff(f2115,plain,(
22.28/23.41	  $sum($sum(1,1),sK2) = $sum(1,$sum(1,sK2))),
22.28/23.41	  inference(Instantiation,[],[f689])).
22.28/23.41	tff(f2130,plain,(
22.28/23.41	  $sum(2,sK2) = $sum(1,$sum(1,sK2))),
22.28/23.41	  inference(evaluation,[],[f2115])).
22.28/23.41	tff(f2131,plain,(
22.28/23.41	  $sum(2,sK2) = $sum(1,$sum(1,sK2))),
22.28/23.41	  inference(evaluation,[],[f2114])).
22.28/23.41	tff(f2133,plain,(
22.28/23.41	  $sum(4,sK2) = $sum(1,$sum(3,sK2))),
22.28/23.41	  inference(evaluation,[],[f2112])).
22.28/23.41	tff(f2134,plain,(
22.28/23.41	  $sum(5,sK2) = $sum(1,$sum(4,sK2))),
22.28/23.41	  inference(evaluation,[],[f2111])).
22.28/23.41	tff(f2245,plain,(
22.28/23.41	  $sum(1,$sum(4,sK2)) = $sum(sK2,$sum(1,4))),
22.28/23.41	  inference(Instantiation,[],[f695])).
22.28/23.41	tff(f2246,plain,(
22.28/23.41	  $sum(1,$sum(3,sK2)) = $sum(sK2,$sum(1,3))),
22.28/23.41	  inference(Instantiation,[],[f695])).
22.28/23.41	tff(f2248,plain,(
22.28/23.41	  $sum(1,$sum(1,sK2)) = $sum(sK2,$sum(1,1))),
22.28/23.41	  inference(Instantiation,[],[f695])).
22.28/23.41	tff(f2249,plain,(
22.28/23.41	  $sum(1,$sum(1,sK2)) = $sum(sK2,$sum(1,1))),
22.28/23.41	  inference(Instantiation,[],[f695])).
22.28/23.41	tff(f2263,plain,(
22.28/23.41	  $sum(sK2,2) = $sum(1,$sum(1,sK2))),
22.28/23.41	  inference(evaluation,[],[f2249])).
22.28/23.41	tff(f2264,plain,(
22.28/23.41	  $sum(sK2,2) = $sum(1,$sum(1,sK2))),
22.28/23.41	  inference(evaluation,[],[f2248])).
22.28/23.41	tff(f2266,plain,(
22.28/23.41	  $sum(sK2,4) = $sum(1,$sum(3,sK2))),
22.28/23.41	  inference(evaluation,[],[f2246])).
22.28/23.41	tff(f2267,plain,(
22.28/23.41	  $sum(sK2,5) = $sum(1,$sum(4,sK2))),
22.28/23.41	  inference(evaluation,[],[f2245])).
22.28/23.41	tff(f2352,plain,(
22.28/23.41	  ~$less(sK2,1) | 4 = 1 | $less(4,1) | $less(sK2,4)),
22.28/23.41	  inference(Instantiation,[],[f414])).
22.28/23.41	tff(f2353,plain,(
22.28/23.41	  ~$less(sK2,1) | 3 = 1 | $less(3,1) | $less(sK2,3)),
22.28/23.41	  inference(Instantiation,[],[f414])).
22.28/23.41	tff(f2365,plain,(
22.28/23.41	  ~$less(sK2,1) | $less(sK2,3)),
22.28/23.41	  inference(evaluation,[],[f2353])).
22.28/23.41	tff(f2366,plain,(
22.28/23.41	  ~$less(sK2,1) | $less(sK2,4)),
22.28/23.41	  inference(evaluation,[],[f2352])).
22.28/23.41	tff(f2413,plain,(
22.28/23.41	  $less($sum(0,sK2),$sum(sK2,$sum(1,sK2))) | $less(sK2,0)),
22.28/23.41	  inference(Instantiation,[],[f683])).
22.28/23.41	tff(f2425,plain,(
22.28/23.41	  $less($sum(1,1),$sum($sum(sK1,sK2),$sum(1,1))) | $less($sum(sK1,sK2),1)),
22.28/23.41	  inference(Instantiation,[],[f683])).
22.28/23.41	tff(f2436,plain,(
22.28/23.41	  $less(2,$sum($sum(sK1,sK2),2)) | $less($sum(sK1,sK2),1)),
22.28/23.41	  inference(evaluation,[],[f2425])).
22.28/23.41	tff(f2449,plain,(
22.28/23.41	  $less(sK2,$sum(sK2,$sum(1,sK2))) | $less(sK2,0)),
22.28/23.41	  inference(evaluation,[],[f2413])).
22.28/23.41	tff(f2459,plain,(
22.28/23.41	  $less(sK2,$sum(1,$sum(sK2,sK2))) | $less(sK2,0)),
22.28/23.41	  inference(forward_demodulation,[],[f2449,f695])).
22.28/23.41	tff(f2462,plain,(
22.28/23.41	  $less(2,$sum(2,$sum(sK1,sK2))) | $less($sum(sK1,sK2),1)),
22.28/23.41	  inference(forward_demodulation,[],[f2436,f5])).
22.28/23.41	tff(f2470,plain,(
22.28/23.41	  ( ! [X0:$int] : (~$less($sum(sK0,X0),$sum(X0,1))) ) | ~spl3_0),
22.28/23.41	  inference(resolution,[],[f700,f999])).
22.28/23.41	tff(f2504,plain,(
22.28/23.41	  ~$less(sK2,$sum(1,$sum(4,1))) | ~$less($sum(1,4),sK2)),
22.28/23.41	  inference(Instantiation,[],[f700])).
22.28/23.41	tff(f2505,plain,(
22.28/23.41	  ~$less(sK2,$sum(1,$sum(3,1))) | ~$less($sum(1,3),sK2)),
22.28/23.41	  inference(Instantiation,[],[f700])).
22.28/23.41	tff(f2506,plain,(
22.28/23.41	  ~$less(sK2,$sum(1,$sum(0,1))) | ~$less($sum(1,0),sK2)),
22.28/23.41	  inference(Instantiation,[],[f700])).
22.28/23.41	tff(f2507,plain,(
22.28/23.41	  ~$less(sK2,$sum(1,$sum(1,1))) | ~$less($sum(1,1),sK2)),
22.28/23.41	  inference(Instantiation,[],[f700])).
22.28/23.41	tff(f2508,plain,(
22.28/23.41	  ~$less(sK2,$sum(1,$sum(1,1))) | ~$less($sum(1,1),sK2)),
22.28/23.41	  inference(Instantiation,[],[f700])).
22.28/23.41	tff(f2509,plain,(
22.28/23.41	  ~$less(sK1,$sum(1,$sum(1,1))) | ~$less($sum(1,1),sK1)),
22.28/23.41	  inference(Instantiation,[],[f700])).
22.28/23.41	tff(f2510,plain,(
22.28/23.41	  ~$less($sum(sK1,sK2),$sum(1,$sum(1,1))) | ~$less($sum(1,1),$sum(sK1,sK2))),
22.28/23.41	  inference(Instantiation,[],[f700])).
22.28/23.41	tff(f2520,plain,(
22.28/23.41	  ~$less($sum(sK1,sK2),$sum(1,2)) | ~$less(2,$sum(sK1,sK2))),
22.28/23.41	  inference(evaluation,[],[f2510])).
22.28/23.41	tff(f2521,plain,(
22.28/23.41	  ~$less($sum(sK1,sK2),3) | ~$less(2,$sum(sK1,sK2))),
22.28/23.41	  inference(evaluation,[],[f2520])).
22.28/23.41	tff(f2522,plain,(
22.28/23.41	  ~$less(sK1,$sum(1,2)) | ~$less(2,sK1)),
22.28/23.41	  inference(evaluation,[],[f2509])).
22.28/23.41	tff(f2523,plain,(
22.28/23.41	  ~$less(sK1,3) | ~$less(2,sK1)),
22.28/23.41	  inference(evaluation,[],[f2522])).
22.28/23.41	tff(f2524,plain,(
22.28/23.41	  ~$less(sK2,$sum(1,2)) | ~$less(2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2508])).
22.28/23.41	tff(f2525,plain,(
22.28/23.41	  ~$less(sK2,3) | ~$less(2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2524])).
22.28/23.41	tff(f2526,plain,(
22.28/23.41	  ~$less(sK2,$sum(1,2)) | ~$less(2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2507])).
22.28/23.41	tff(f2527,plain,(
22.28/23.41	  ~$less(sK2,3) | ~$less(2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2526])).
22.28/23.41	tff(f2528,plain,(
22.28/23.41	  ~$less(sK2,$sum(1,1)) | ~$less(1,sK2)),
22.28/23.41	  inference(evaluation,[],[f2506])).
22.28/23.41	tff(f2529,plain,(
22.28/23.41	  ~$less(sK2,2) | ~$less(1,sK2)),
22.28/23.41	  inference(evaluation,[],[f2528])).
22.28/23.41	tff(f2530,plain,(
22.28/23.41	  ~$less(sK2,$sum(1,4)) | ~$less(4,sK2)),
22.28/23.41	  inference(evaluation,[],[f2505])).
22.28/23.41	tff(f2531,plain,(
22.28/23.41	  ~$less(sK2,5) | ~$less(4,sK2)),
22.28/23.41	  inference(evaluation,[],[f2530])).
22.28/23.41	tff(f2532,plain,(
22.28/23.41	  ~$less(sK2,$sum(1,5)) | ~$less(5,sK2)),
22.28/23.41	  inference(evaluation,[],[f2504])).
22.28/23.41	tff(f2533,plain,(
22.28/23.41	  ~$less(sK2,6) | ~$less(5,sK2)),
22.28/23.41	  inference(evaluation,[],[f2532])).
22.28/23.41	tff(f2562,plain,(
22.28/23.41	  ~$less(sK1,3) | ~spl3_64),
22.28/23.41	  inference(subsumption_resolution,[],[f2523,f505])).
22.28/23.41	tff(f2564,plain,(
22.28/23.41	  spl3_158 <=> $less(sK1,3)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_158])])).
22.28/23.41	tff(f2567,plain,(
22.28/23.41	  spl3_159 <=> ~$less(sK1,3)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_159])])).
22.28/23.41	tff(f2568,plain,(
22.28/23.41	  ~$less(sK1,3) | ~spl3_159),
22.28/23.41	  inference(AVATAR_component_clause,[],[f2567])).
22.28/23.41	tff(f2569,plain,(
22.28/23.41	  ~spl3_159 | ~spl3_64),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2562,f504,f2567])).
22.28/23.41	tff(f2607,plain,(
22.28/23.41	  $less(sK2,$sum(1,$sum(4,1))) | $less($sum(1,4),sK2)),
22.28/23.41	  inference(Instantiation,[],[f701])).
22.28/23.41	tff(f2608,plain,(
22.28/23.41	  $less(sK2,$sum(1,$sum(3,1))) | $less($sum(1,3),sK2)),
22.28/23.41	  inference(Instantiation,[],[f701])).
22.28/23.41	tff(f2609,plain,(
22.28/23.41	  $less(sK2,$sum(1,$sum(0,1))) | $less($sum(1,0),sK2)),
22.28/23.41	  inference(Instantiation,[],[f701])).
22.28/23.41	tff(f2610,plain,(
22.28/23.41	  $less(sK2,$sum(1,$sum(1,1))) | $less($sum(1,1),sK2)),
22.28/23.41	  inference(Instantiation,[],[f701])).
22.28/23.41	tff(f2611,plain,(
22.28/23.41	  $less(sK2,$sum(1,$sum(1,1))) | $less($sum(1,1),sK2)),
22.28/23.41	  inference(Instantiation,[],[f701])).
22.28/23.41	tff(f2612,plain,(
22.28/23.41	  $less(sK1,$sum(1,$sum(1,1))) | $less($sum(1,1),sK1)),
22.28/23.41	  inference(Instantiation,[],[f701])).
22.28/23.41	tff(f2613,plain,(
22.28/23.41	  $less($sum(sK1,sK2),$sum(1,$sum(1,1))) | $less($sum(1,1),$sum(sK1,sK2))),
22.28/23.41	  inference(Instantiation,[],[f701])).
22.28/23.41	tff(f2623,plain,(
22.28/23.41	  $less($sum(sK1,sK2),$sum(1,2)) | $less(2,$sum(sK1,sK2))),
22.28/23.41	  inference(evaluation,[],[f2613])).
22.28/23.41	tff(f2624,plain,(
22.28/23.41	  $less($sum(sK1,sK2),3) | $less(2,$sum(sK1,sK2))),
22.28/23.41	  inference(evaluation,[],[f2623])).
22.28/23.41	tff(f2625,plain,(
22.28/23.41	  $less(sK1,$sum(1,2)) | $less(2,sK1)),
22.28/23.41	  inference(evaluation,[],[f2612])).
22.28/23.41	tff(f2626,plain,(
22.28/23.41	  $less(sK1,3) | $less(2,sK1)),
22.28/23.41	  inference(evaluation,[],[f2625])).
22.28/23.41	tff(f2627,plain,(
22.28/23.41	  $less(sK2,$sum(1,2)) | $less(2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2611])).
22.28/23.41	tff(f2628,plain,(
22.28/23.41	  $less(sK2,3) | $less(2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2627])).
22.28/23.41	tff(f2629,plain,(
22.28/23.41	  $less(sK2,$sum(1,2)) | $less(2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2610])).
22.28/23.41	tff(f2630,plain,(
22.28/23.41	  $less(sK2,3) | $less(2,sK2)),
22.28/23.41	  inference(evaluation,[],[f2629])).
22.28/23.41	tff(f2631,plain,(
22.28/23.41	  $less(sK2,$sum(1,1)) | $less(1,sK2)),
22.28/23.41	  inference(evaluation,[],[f2609])).
22.28/23.41	tff(f2632,plain,(
22.28/23.41	  $less(sK2,2) | $less(1,sK2)),
22.28/23.41	  inference(evaluation,[],[f2631])).
22.28/23.41	tff(f2633,plain,(
22.28/23.41	  $less(sK2,$sum(1,4)) | $less(4,sK2)),
22.28/23.41	  inference(evaluation,[],[f2608])).
22.28/23.41	tff(f2634,plain,(
22.28/23.41	  $less(sK2,5) | $less(4,sK2)),
22.28/23.41	  inference(evaluation,[],[f2633])).
22.28/23.41	tff(f2635,plain,(
22.28/23.41	  $less(sK2,$sum(1,5)) | $less(5,sK2)),
22.28/23.41	  inference(evaluation,[],[f2607])).
22.28/23.41	tff(f2636,plain,(
22.28/23.41	  $less(sK2,6) | $less(5,sK2)),
22.28/23.41	  inference(evaluation,[],[f2635])).
22.28/23.41	tff(f2661,plain,(
22.28/23.41	  $less(3,sK1) | 3 = sK1 | ~spl3_159),
22.28/23.41	  inference(resolution,[],[f2568,f12])).
22.28/23.41	tff(f2662,plain,(
22.28/23.41	  $less(3,sK1) | 3 = sK1 | ~spl3_159),
22.28/23.41	  inference(resolution,[],[f2568,f12])).
22.28/23.41	tff(f2667,plain,(
22.28/23.41	  spl3_160 <=> 3 = sK1),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_160])])).
22.28/23.41	tff(f2669,plain,(
22.28/23.41	  spl3_160 | spl3_62 | spl3_159),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2661,f2567,f497,f2667])).
22.28/23.41	tff(f2670,plain,(
22.28/23.41	  spl3_160 | spl3_62 | spl3_159),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2662,f2567,f497,f2667])).
22.28/23.41	tff(f2673,plain,(
22.28/23.41	  ( ! [X2:$int] : ($less($sum(3,X2),$sum(sK1,X2))) ) | ~spl3_62),
22.28/23.41	  inference(resolution,[],[f498,f13])).
22.28/23.41	tff(f2698,plain,(
22.28/23.41	  $less($sum(sK2,1),4) | $sum(sK2,1) = 4 | ~$less(sK2,4)),
22.28/23.41	  inference(Instantiation,[],[f415])).
22.28/23.41	tff(f2699,plain,(
22.28/23.41	  $less($sum(sK2,1),3) | 3 = $sum(sK2,1) | ~$less(sK2,3)),
22.28/23.41	  inference(Instantiation,[],[f415])).
22.28/23.41	tff(f2701,plain,(
22.28/23.41	  $less($sum(sK2,1),1) | $sum(sK2,1) = 1 | ~$less(sK2,1)),
22.28/23.41	  inference(Instantiation,[],[f415])).
22.28/23.41	tff(f2702,plain,(
22.28/23.41	  $less($sum(sK2,1),1) | $sum(sK2,1) = 1 | ~$less(sK2,1)),
22.28/23.41	  inference(Instantiation,[],[f415])).
22.28/23.41	tff(f2703,plain,(
22.28/23.41	  $less($sum(sK1,1),1) | $sum(sK1,1) = 1 | ~$less(sK1,1)),
22.28/23.41	  inference(Instantiation,[],[f415])).
22.28/23.41	tff(f2712,plain,(
22.28/23.41	  $less(sK1,$sum(1,-1)) | $sum(1,-1) = sK1 | ~$less(sK1,1)),
22.28/23.41	  inference(evaluation,[],[f2703])).
22.28/23.41	tff(f2713,plain,(
22.28/23.41	  $less(sK1,0) | 0 = sK1 | ~$less(sK1,1)),
22.28/23.41	  inference(evaluation,[],[f2712])).
22.28/23.41	tff(f2714,plain,(
22.28/23.41	  $less(sK2,$sum(1,-1)) | $sum(1,-1) = sK2 | ~$less(sK2,1)),
22.28/23.41	  inference(evaluation,[],[f2702])).
22.28/23.41	tff(f2715,plain,(
22.28/23.41	  $less(sK2,0) | 0 = sK2 | ~$less(sK2,1)),
22.28/23.41	  inference(evaluation,[],[f2714])).
22.28/23.41	tff(f2716,plain,(
22.28/23.41	  $less(sK2,$sum(1,-1)) | $sum(1,-1) = sK2 | ~$less(sK2,1)),
22.28/23.41	  inference(evaluation,[],[f2701])).
22.28/23.41	tff(f2717,plain,(
22.28/23.41	  $less(sK2,0) | 0 = sK2 | ~$less(sK2,1)),
22.28/23.41	  inference(evaluation,[],[f2716])).
22.28/23.41	tff(f2720,plain,(
22.28/23.41	  $less(sK2,$sum(3,-1)) | $sum(3,-1) = sK2 | ~$less(sK2,3)),
22.28/23.41	  inference(evaluation,[],[f2699])).
22.28/23.41	tff(f2721,plain,(
22.28/23.41	  $less(sK2,2) | sK2 = 2 | ~$less(sK2,3)),
22.28/23.41	  inference(evaluation,[],[f2720])).
22.28/23.41	tff(f2722,plain,(
22.28/23.41	  $less(sK2,$sum(4,-1)) | $sum(4,-1) = sK2 | ~$less(sK2,4)),
22.28/23.41	  inference(evaluation,[],[f2698])).
22.28/23.41	tff(f2723,plain,(
22.28/23.41	  $less(sK2,3) | 3 = sK2 | ~$less(sK2,4)),
22.28/23.41	  inference(evaluation,[],[f2722])).
22.28/23.41	tff(f2741,plain,(
22.28/23.41	  $less(sK2,0) | ~$less(sK2,1) | ~spl3_61),
22.28/23.41	  inference(subsumption_resolution,[],[f2717,f462])).
22.28/23.41	tff(f2745,plain,(
22.28/23.41	  $less(sK2,0) | ~$less(sK2,1) | ~spl3_61),
22.28/23.41	  inference(subsumption_resolution,[],[f2715,f462])).
22.28/23.41	tff(f2793,plain,(
22.28/23.41	  $less($sum(0,sK2),$sum(sK2,sK2)) | $less(sK2,0) | 0 = sK2),
22.28/23.41	  inference(Instantiation,[],[f654])).
22.28/23.41	tff(f2805,plain,(
22.28/23.41	  $less($sum(1,1),$sum($sum(sK1,sK2),1)) | $less($sum(sK1,sK2),1) | $sum(sK1,sK2) = 1),
22.28/23.41	  inference(Instantiation,[],[f654])).
22.28/23.41	tff(f2813,plain,(
22.28/23.41	  $less(2,$sum($sum(sK1,sK2),1)) | $less($sum(sK1,sK2),1) | $sum(sK1,sK2) = 1),
22.28/23.41	  inference(evaluation,[],[f2805])).
22.28/23.41	tff(f2825,plain,(
22.28/23.41	  $less(sK2,$sum(sK2,sK2)) | $less(sK2,0) | 0 = sK2),
22.28/23.41	  inference(evaluation,[],[f2793])).
22.28/23.41	tff(f2830,plain,(
22.28/23.41	  $less(sK2,$sum(sK2,sK2)) | $less(sK2,0) | ~spl3_61),
22.28/23.41	  inference(subsumption_resolution,[],[f2825,f462])).
22.28/23.41	tff(f2832,plain,(
22.28/23.41	  $less(2,$sum(1,$sum(sK1,sK2))) | $less($sum(sK1,sK2),1) | $sum(sK1,sK2) = 1),
22.28/23.41	  inference(forward_demodulation,[],[f2813,f5])).
22.28/23.41	tff(f2885,plain,(
22.28/23.41	  $sum($uminus($sum(sK2,4)),sK2) = $sum($uminus(4),$sum($uminus(sK2),sK2))),
22.28/23.41	  inference(Instantiation,[],[f691])).
22.28/23.41	tff(f2886,plain,(
22.28/23.41	  $sum($uminus($sum(sK2,3)),sK2) = $sum($uminus(3),$sum($uminus(sK2),sK2))),
22.28/23.41	  inference(Instantiation,[],[f691])).
22.28/23.41	tff(f2888,plain,(
22.28/23.41	  $sum($uminus($sum(sK2,1)),sK2) = $sum($uminus(1),$sum($uminus(sK2),sK2))),
22.28/23.41	  inference(Instantiation,[],[f691])).
22.28/23.41	tff(f2889,plain,(
22.28/23.41	  $sum($uminus($sum(sK2,1)),sK2) = $sum($uminus(1),$sum($uminus(sK2),sK2))),
22.28/23.41	  inference(Instantiation,[],[f691])).
22.28/23.41	tff(f2890,plain,(
22.28/23.41	  $sum($uminus($sum(sK1,1)),sK2) = $sum($uminus(1),$sum($uminus(sK1),sK2))),
22.28/23.41	  inference(Instantiation,[],[f691])).
22.28/23.41	tff(f2891,plain,(
22.28/23.41	  $sum($uminus($sum($sum(sK1,sK2),1)),sK2) = $sum($uminus(1),$sum($uminus($sum(sK1,sK2)),sK2))),
22.28/23.41	  inference(Instantiation,[],[f691])).
22.28/23.41	tff(f2892,plain,(
22.28/23.41	  $sum($uminus($sum(sK0,1)),sK2) = $sum($uminus(1),$sum($uminus(sK0),sK2))),
22.28/23.41	  inference(Instantiation,[],[f691])).
22.28/23.41	tff(f2893,plain,(
22.28/23.41	  $sum($uminus($sum(4,1)),sK2) = $sum($uminus(1),$sum($uminus(4),sK2))),
22.28/23.41	  inference(Instantiation,[],[f691])).
22.28/23.41	tff(f2894,plain,(
22.28/23.41	  $sum($uminus($sum(3,1)),sK2) = $sum($uminus(1),$sum($uminus(3),sK2))),
22.28/23.41	  inference(Instantiation,[],[f691])).
22.28/23.41	tff(f2896,plain,(
22.28/23.41	  $sum($uminus($sum(1,1)),sK2) = $sum($uminus(1),$sum($uminus(1),sK2))),
22.28/23.41	  inference(Instantiation,[],[f691])).
22.28/23.41	tff(f2897,plain,(
22.28/23.41	  $sum($uminus($sum(1,1)),sK2) = $sum($uminus(1),$sum($uminus(1),sK2))),
22.28/23.41	  inference(Instantiation,[],[f691])).
22.28/23.41	tff(f2898,plain,(
22.28/23.41	  $sum($uminus($sum(1,1)),sK1) = $sum($uminus(1),$sum($uminus(1),sK1))),
22.28/23.41	  inference(Instantiation,[],[f691])).
22.28/23.41	tff(f2899,plain,(
22.28/23.41	  $sum($uminus($sum(1,1)),$sum(sK1,sK2)) = $sum($uminus(1),$sum($uminus(1),$sum(sK1,sK2)))),
22.28/23.41	  inference(Instantiation,[],[f691])).
22.28/23.41	tff(f2900,plain,(
22.28/23.41	  $sum($uminus($sum(1,1)),sK0) = $sum($uminus(1),$sum($uminus(1),sK0))),
22.28/23.41	  inference(Instantiation,[],[f691])).
22.28/23.41	tff(f2913,plain,(
22.28/23.41	  $sum($uminus(2),sK0) = $sum(-1,$sum(-1,sK0))),
22.28/23.41	  inference(evaluation,[],[f2900])).
22.28/23.41	tff(f2914,plain,(
22.28/23.41	  $sum(-2,sK0) = $sum(-1,$sum(-1,sK0))),
22.28/23.41	  inference(evaluation,[],[f2913])).
22.28/23.41	tff(f2915,plain,(
22.28/23.41	  $sum($uminus(2),$sum(sK1,sK2)) = $sum(-1,$sum(-1,$sum(sK1,sK2)))),
22.28/23.41	  inference(evaluation,[],[f2899])).
22.28/23.41	tff(f2916,plain,(
22.28/23.41	  $sum(-2,$sum(sK1,sK2)) = $sum(-1,$sum(-1,$sum(sK1,sK2)))),
22.28/23.41	  inference(evaluation,[],[f2915])).
22.28/23.41	tff(f2917,plain,(
22.28/23.41	  $sum($uminus(2),sK1) = $sum(-1,$sum(-1,sK1))),
22.28/23.41	  inference(evaluation,[],[f2898])).
22.28/23.41	tff(f2918,plain,(
22.28/23.41	  $sum(-2,sK1) = $sum(-1,$sum(-1,sK1))),
22.28/23.41	  inference(evaluation,[],[f2917])).
22.28/23.41	tff(f2919,plain,(
22.28/23.41	  $sum($uminus(2),sK2) = $sum(-1,$sum(-1,sK2))),
22.28/23.41	  inference(evaluation,[],[f2897])).
22.28/23.41	tff(f2920,plain,(
22.28/23.41	  $sum(-2,sK2) = $sum(-1,$sum(-1,sK2))),
22.28/23.41	  inference(evaluation,[],[f2919])).
22.28/23.41	tff(f2921,plain,(
22.28/23.41	  $sum($uminus(2),sK2) = $sum(-1,$sum(-1,sK2))),
22.28/23.41	  inference(evaluation,[],[f2896])).
22.28/23.41	tff(f2922,plain,(
22.28/23.41	  $sum(-2,sK2) = $sum(-1,$sum(-1,sK2))),
22.28/23.41	  inference(evaluation,[],[f2921])).
22.28/23.41	tff(f2925,plain,(
22.28/23.41	  $sum($uminus(4),sK2) = $sum(-1,$sum(-3,sK2))),
22.28/23.41	  inference(evaluation,[],[f2894])).
22.28/23.41	tff(f2926,plain,(
22.28/23.41	  $sum(-4,sK2) = $sum(-1,$sum(-3,sK2))),
22.28/23.41	  inference(evaluation,[],[f2925])).
22.28/23.41	tff(f2927,plain,(
22.28/23.41	  $sum($uminus(5),sK2) = $sum(-1,$sum(-4,sK2))),
22.28/23.41	  inference(evaluation,[],[f2893])).
22.28/23.41	tff(f2928,plain,(
22.28/23.41	  $sum(-5,sK2) = $sum(-1,$sum(-4,sK2))),
22.28/23.41	  inference(evaluation,[],[f2927])).
22.28/23.41	tff(f2929,plain,(
22.28/23.41	  $sum($uminus($sum(sK0,1)),sK2) = $sum(-1,$sum($uminus(sK0),sK2))),
22.28/23.41	  inference(evaluation,[],[f2892])).
22.28/23.41	tff(f2930,plain,(
22.28/23.41	  $sum($uminus($sum($sum(sK1,sK2),1)),sK2) = $sum(-1,$sum($uminus($sum(sK1,sK2)),sK2))),
22.28/23.41	  inference(evaluation,[],[f2891])).
22.28/23.41	tff(f2931,plain,(
22.28/23.41	  $sum($uminus($sum(sK1,1)),sK2) = $sum(-1,$sum($uminus(sK1),sK2))),
22.28/23.41	  inference(evaluation,[],[f2890])).
22.28/23.41	tff(f2932,plain,(
22.28/23.41	  $sum($uminus($sum(sK2,1)),sK2) = $sum(-1,$sum($uminus(sK2),sK2))),
22.28/23.41	  inference(evaluation,[],[f2889])).
22.28/23.41	tff(f2933,plain,(
22.28/23.41	  $sum($uminus($sum(sK2,1)),sK2) = $sum(-1,$sum($uminus(sK2),sK2))),
22.28/23.41	  inference(evaluation,[],[f2888])).
22.28/23.41	tff(f2936,plain,(
22.28/23.41	  $sum($uminus($sum(sK2,3)),sK2) = $sum(-3,$sum($uminus(sK2),sK2))),
22.28/23.41	  inference(evaluation,[],[f2886])).
22.28/23.41	tff(f2937,plain,(
22.28/23.41	  $sum($uminus($sum(sK2,4)),sK2) = $sum(-4,$sum($uminus(sK2),sK2))),
22.28/23.41	  inference(evaluation,[],[f2885])).
22.28/23.41	tff(f2997,plain,(
22.28/23.41	  $sum($uminus($sum(sK2,4)),sK2) = $sum(-4,$sum(sK2,$uminus(sK2)))),
22.28/23.41	  inference(forward_demodulation,[],[f2937,f5])).
22.28/23.41	tff(f2998,plain,(
22.28/23.41	  $sum(-4,0) = $sum($uminus($sum(sK2,4)),sK2)),
22.28/23.41	  inference(forward_demodulation,[],[f2997,f9])).
22.28/23.41	tff(f2999,plain,(
22.28/23.41	  $sum($uminus($sum(sK2,4)),sK2) = -4),
22.28/23.41	  inference(evaluation,[],[f2998])).
22.28/23.41	tff(f3003,plain,(
22.28/23.41	  $sum($uminus($sum(sK2,3)),sK2) = $sum(-3,$sum(sK2,$uminus(sK2)))),
22.28/23.41	  inference(forward_demodulation,[],[f2936,f5])).
22.28/23.41	tff(f3004,plain,(
22.28/23.41	  $sum(-3,0) = $sum($uminus($sum(sK2,3)),sK2)),
22.28/23.41	  inference(forward_demodulation,[],[f3003,f9])).
22.28/23.41	tff(f3005,plain,(
22.28/23.41	  $sum($uminus($sum(sK2,3)),sK2) = -3),
22.28/23.41	  inference(evaluation,[],[f3004])).
22.28/23.41	tff(f3009,plain,(
22.28/23.41	  $sum($uminus($sum(sK2,1)),sK2) = $sum(-1,$sum(sK2,$uminus(sK2)))),
22.28/23.41	  inference(forward_demodulation,[],[f2933,f5])).
22.28/23.41	tff(f3010,plain,(
22.28/23.41	  $sum(-1,0) = $sum($uminus($sum(sK2,1)),sK2)),
22.28/23.41	  inference(forward_demodulation,[],[f3009,f9])).
22.28/23.41	tff(f3011,plain,(
22.28/23.41	  $sum($uminus($sum(sK2,1)),sK2) = -1),
22.28/23.41	  inference(evaluation,[],[f3010])).
22.28/23.41	tff(f3015,plain,(
22.28/23.41	  $sum($uminus($sum(sK2,1)),sK2) = $sum(-1,$sum(sK2,$uminus(sK2)))),
22.28/23.41	  inference(forward_demodulation,[],[f2932,f5])).
22.28/23.41	tff(f3016,plain,(
22.28/23.41	  $sum(-1,0) = $sum($uminus($sum(sK2,1)),sK2)),
22.28/23.41	  inference(forward_demodulation,[],[f3015,f9])).
22.28/23.41	tff(f3017,plain,(
22.28/23.41	  $sum($uminus($sum(sK2,1)),sK2) = -1),
22.28/23.41	  inference(evaluation,[],[f3016])).
22.28/23.41	tff(f3021,plain,(
22.28/23.41	  $sum($uminus($sum(sK1,1)),sK2) = $sum(-1,$sum(sK2,$uminus(sK1)))),
22.28/23.41	  inference(forward_demodulation,[],[f2931,f5])).
22.28/23.41	tff(f3022,plain,(
22.28/23.41	  $sum($uminus($sum(sK1,1)),1) = $sum(-1,$sum(1,$uminus(sK1))) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f3021,f1153])).
22.28/23.41	tff(f3023,plain,(
22.28/23.41	  $sum(1,$sum($uminus(sK1),-1)) = $sum($uminus($sum(sK1,1)),1) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f3022,f695])).
22.28/23.41	tff(f3024,plain,(
22.28/23.41	  $sum(1,$sum($uminus(sK1),-1)) = $sum($uminus($sum(1,sK1)),1) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f3023,f1887])).
22.28/23.41	tff(f3025,plain,(
22.28/23.41	  $sum(1,$sum($uminus(sK1),-1)) = $uminus(sK1) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f3024,f1854])).
22.28/23.41	tff(f3026,plain,(
22.28/23.41	  $sum(1,$sum(-1,$uminus(sK1))) = $uminus(sK1) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f3025,f5])).
22.28/23.41	tff(f3031,plain,(
22.28/23.41	  spl3_162 <=> $sum(1,$sum(-1,$uminus(sK1))) = $uminus(sK1)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_162])])).
22.28/23.41	tff(f3033,plain,(
22.28/23.41	  spl3_162 | ~spl3_116),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3026,f1152,f3031])).
22.28/23.41	tff(f3034,plain,(
22.28/23.41	  $sum($uminus($sum($sum(sK1,sK2),1)),sK2) = $sum(-1,$sum(sK2,$uminus($sum(sK1,sK2))))),
22.28/23.41	  inference(forward_demodulation,[],[f2930,f5])).
22.28/23.41	tff(f3035,plain,(
22.28/23.41	  $sum(-1,$uminus(sK1)) = $sum($uminus($sum($sum(sK1,sK2),1)),sK2)),
22.28/23.41	  inference(forward_demodulation,[],[f3034,f1497])).
22.28/23.41	tff(f3036,plain,(
22.28/23.41	  $sum(-1,$uminus(sK1)) = $sum($uminus($sum($sum(sK1,1),1)),1) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f3035,f1153])).
22.28/23.41	tff(f3037,plain,(
22.28/23.41	  $sum(-1,$uminus(sK1)) = $sum($uminus($sum(1,$sum(sK1,1))),1) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f3036,f1887])).
22.28/23.41	tff(f3038,plain,(
22.28/23.41	  $sum(-1,$uminus(sK1)) = $sum($sum(-1,$uminus($sum(1,sK1))),1) | (~spl3_68 | ~spl3_116)),
22.28/23.41	  inference(forward_demodulation,[],[f3037,f1931])).
22.28/23.41	tff(f3039,plain,(
22.28/23.41	  $sum(-1,$uminus(sK1)) = $sum($sum(-1,$sum(-1,$uminus(sK1))),1) | (~spl3_68 | ~spl3_116)),
22.28/23.41	  inference(forward_demodulation,[],[f3038,f595])).
22.28/23.41	tff(f3040,plain,(
22.28/23.41	  $sum(-1,$uminus(sK1)) = $sum($uminus($sum(2,sK1)),1) | (~spl3_68 | ~spl3_116 | ~spl3_122)),
22.28/23.41	  inference(forward_demodulation,[],[f3039,f1229])).
22.28/23.41	tff(f3045,plain,(
22.28/23.41	  spl3_164 <=> $sum(-1,$uminus(sK1)) = $sum($uminus($sum(2,sK1)),1)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_164])])).
22.28/23.41	tff(f3047,plain,(
22.28/23.41	  spl3_164 | ~spl3_68 | ~spl3_116 | ~spl3_122),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3040,f1228,f1152,f594,f3045])).
22.28/23.41	tff(f3048,plain,(
22.28/23.41	  $sum($uminus($sum(sK0,1)),sK2) = $sum(-1,$sum(sK2,$uminus(sK0)))),
22.28/23.41	  inference(forward_demodulation,[],[f2929,f5])).
22.28/23.41	tff(f3049,plain,(
22.28/23.41	  $sum($uminus($sum(sK0,1)),1) = $sum(-1,$sum(1,$uminus(sK0))) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f3048,f1153])).
22.28/23.41	tff(f3050,plain,(
22.28/23.41	  $sum(1,$sum($uminus(sK0),-1)) = $sum($uminus($sum(sK0,1)),1) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f3049,f695])).
22.28/23.41	tff(f3051,plain,(
22.28/23.41	  $sum(1,$sum($uminus(sK0),-1)) = $sum($uminus($sum(1,sK0)),1) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f3050,f1887])).
22.28/23.41	tff(f3052,plain,(
22.28/23.41	  $sum(1,$sum($uminus(sK0),-1)) = $uminus(sK0) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f3051,f1854])).
22.28/23.41	tff(f3053,plain,(
22.28/23.41	  $sum(1,$sum(-1,$uminus(sK0))) = $uminus(sK0) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f3052,f5])).
22.28/23.41	tff(f3058,plain,(
22.28/23.41	  spl3_166 <=> $sum(1,$sum(-1,$uminus(sK0))) = $uminus(sK0)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_166])])).
22.28/23.41	tff(f3060,plain,(
22.28/23.41	  spl3_166 | ~spl3_116),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3053,f1152,f3058])).
22.28/23.41	tff(f3073,plain,(
22.28/23.41	  spl3_168 <=> $sum(-2,sK1) = $sum(-1,$sum(-1,sK1))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_168])])).
22.28/23.41	tff(f3075,plain,(
22.28/23.41	  spl3_168),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2918,f3073])).
22.28/23.41	tff(f3076,plain,(
22.28/23.41	  $sum(-2,$sum(sK1,1)) = $sum(-1,$sum(-1,$sum(sK1,1))) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f2916,f1153])).
22.28/23.41	tff(f3077,plain,(
22.28/23.41	  $sum(-2,$sum(sK1,1)) = $sum(-1,$sum(1,$sum(-1,sK1))) | ~spl3_116),
22.28/23.41	  inference(forward_demodulation,[],[f3076,f695])).
22.28/23.41	tff(f3078,plain,(
22.28/23.41	  $sum(-1,sK1) = $sum(-2,$sum(sK1,1)) | (~spl3_116 | ~spl3_136)),
22.28/23.41	  inference(forward_demodulation,[],[f3077,f1567])).
22.28/23.41	tff(f3079,plain,(
22.28/23.41	  $sum(-1,sK1) = $sum(-2,$sum(1,sK1)) | (~spl3_116 | ~spl3_136)),
22.28/23.41	  inference(forward_demodulation,[],[f3078,f5])).
22.28/23.41	tff(f3084,plain,(
22.28/23.41	  spl3_170 <=> $sum(-1,sK1) = $sum(-2,$sum(1,sK1))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_170])])).
22.28/23.41	tff(f3086,plain,(
22.28/23.41	  spl3_170 | ~spl3_116 | ~spl3_136),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3079,f1566,f1152,f3084])).
22.28/23.41	tff(f3091,plain,(
22.28/23.41	  spl3_172 <=> $sum(-2,sK0) = $sum(-1,$sum(-1,sK0))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_172])])).
22.28/23.41	tff(f3093,plain,(
22.28/23.41	  spl3_172),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2914,f3091])).
22.28/23.41	tff(f3095,plain,(
22.28/23.41	  $less($uminus(sK0),sK0) | (~spl3_0 | ~spl3_112)),
22.28/23.41	  inference(resolution,[],[f1098,f382])).
22.28/23.41	tff(f3105,plain,(
22.28/23.41	  spl3_174 <=> $less($uminus(sK0),sK0)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_174])])).
22.28/23.41	tff(f3106,plain,(
22.28/23.41	  $less($uminus(sK0),sK0) | ~spl3_174),
22.28/23.41	  inference(AVATAR_component_clause,[],[f3105])).
22.28/23.41	tff(f3107,plain,(
22.28/23.41	  spl3_174 | ~spl3_0 | ~spl3_112),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3095,f1097,f34,f3105])).
22.28/23.41	tff(f3120,plain,(
22.28/23.41	  $less($uminus(sK1),0) | ~spl3_58),
22.28/23.41	  inference(superposition,[],[f768,f9])).
22.28/23.41	tff(f3141,plain,(
22.28/23.41	  spl3_176 <=> $less($uminus(sK1),0)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_176])])).
22.28/23.41	tff(f3143,plain,(
22.28/23.41	  spl3_176 | ~spl3_58),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3120,f456,f3141])).
22.28/23.41	tff(f3180,plain,(
22.28/23.41	  $less($uminus(sK0),sK1) | (~spl3_58 | ~spl3_112)),
22.28/23.41	  inference(resolution,[],[f767,f1098])).
22.28/23.41	tff(f3197,plain,(
22.28/23.41	  spl3_178 <=> $less($uminus(sK0),sK1)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_178])])).
22.28/23.41	tff(f3198,plain,(
22.28/23.41	  $less($uminus(sK0),sK1) | ~spl3_178),
22.28/23.41	  inference(AVATAR_component_clause,[],[f3197])).
22.28/23.41	tff(f3199,plain,(
22.28/23.41	  spl3_178 | ~spl3_58 | ~spl3_112),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3180,f1097,f456,f3197])).
22.28/23.41	tff(f3225,plain,(
22.28/23.41	  $less($sum(sK0,$uminus(sK1)),sK1) | (~spl3_58 | ~spl3_132)),
22.28/23.41	  inference(resolution,[],[f1330,f767])).
22.28/23.41	tff(f3226,plain,(
22.28/23.41	  $less($sum(sK0,$uminus(sK1)),sK0) | (~spl3_0 | ~spl3_132)),
22.28/23.41	  inference(resolution,[],[f1330,f382])).
22.28/23.41	tff(f3236,plain,(
22.28/23.41	  spl3_180 <=> $less($sum(sK0,$uminus(sK1)),sK1)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_180])])).
22.28/23.41	tff(f3238,plain,(
22.28/23.41	  spl3_180 | ~spl3_58 | ~spl3_132),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3225,f1329,f456,f3236])).
22.28/23.41	tff(f3243,plain,(
22.28/23.41	  spl3_182 <=> $less($sum(sK0,$uminus(sK1)),sK0)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_182])])).
22.28/23.41	tff(f3245,plain,(
22.28/23.41	  spl3_182 | ~spl3_0 | ~spl3_132),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3226,f1329,f34,f3243])).
22.28/23.41	tff(f3261,plain,(
22.28/23.41	  $less($sum($uminus(sK0),2),sK1) | (~spl3_0 | ~spl3_64)),
22.28/23.41	  inference(resolution,[],[f1511,f1069])).
22.28/23.41	tff(f3294,plain,(
22.28/23.41	  $less($sum(2,$uminus(sK0)),sK1) | (~spl3_0 | ~spl3_64)),
22.28/23.41	  inference(forward_demodulation,[],[f3261,f5])).
22.28/23.41	tff(f3299,plain,(
22.28/23.41	  spl3_184 <=> $less($sum(2,$uminus(sK0)),sK1)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_184])])).
22.28/23.41	tff(f3300,plain,(
22.28/23.41	  $less($sum(2,$uminus(sK0)),sK1) | ~spl3_184),
22.28/23.41	  inference(AVATAR_component_clause,[],[f3299])).
22.28/23.41	tff(f3301,plain,(
22.28/23.41	  spl3_184 | ~spl3_0 | ~spl3_64),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3294,f504,f34,f3299])).
22.28/23.41	tff(f3347,plain,(
22.28/23.41	  $less(-1,sK1) | ~spl3_58),
22.28/23.41	  inference(resolution,[],[f2046,f10])).
22.28/23.41	tff(f3354,plain,(
22.28/23.41	  $less(-1,-1) | $less(-1,sK1) | ~spl3_58),
22.28/23.41	  inference(Instantiation,[],[f2046])).
22.28/23.41	tff(f3363,plain,(
22.28/23.41	  $less(-1,sK1) | ~spl3_58),
22.28/23.41	  inference(evaluation,[],[f3354])).
22.28/23.41	tff(f3370,plain,(
22.28/23.41	  spl3_186 <=> $less(-1,sK1)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_186])])).
22.28/23.41	tff(f3372,plain,(
22.28/23.41	  spl3_186 | ~spl3_58),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3347,f456,f3370])).
22.28/23.41	tff(f3373,plain,(
22.28/23.41	  spl3_186 | ~spl3_58),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3363,f456,f3370])).
22.28/23.41	tff(f3392,plain,(
22.28/23.41	  $less(-1,sK0) | ~spl3_0),
22.28/23.41	  inference(resolution,[],[f2048,f10])).
22.28/23.41	tff(f3399,plain,(
22.28/23.41	  $less(-1,-1) | $less(-1,sK0) | ~spl3_0),
22.28/23.41	  inference(Instantiation,[],[f2048])).
22.28/23.41	tff(f3408,plain,(
22.28/23.41	  $less(-1,sK0) | ~spl3_0),
22.28/23.41	  inference(evaluation,[],[f3399])).
22.28/23.41	tff(f3415,plain,(
22.28/23.41	  spl3_188 <=> $less(-1,sK0)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_188])])).
22.28/23.41	tff(f3417,plain,(
22.28/23.41	  spl3_188 | ~spl3_0),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3392,f34,f3415])).
22.28/23.41	tff(f3418,plain,(
22.28/23.41	  spl3_188 | ~spl3_0),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3408,f34,f3415])).
22.28/23.41	tff(f3494,plain,(
22.28/23.41	  $less($sum(2,$uminus(sK1)),0) | ~spl3_64),
22.28/23.41	  inference(superposition,[],[f1068,f9])).
22.28/23.41	tff(f3510,plain,(
22.28/23.41	  $less($uminus(sK1),$uminus(2)) | ~spl3_64),
22.28/23.41	  inference(evaluation,[],[f3494])).
22.28/23.41	tff(f3511,plain,(
22.28/23.41	  $less($uminus(sK1),-2) | ~spl3_64),
22.28/23.41	  inference(evaluation,[],[f3510])).
22.28/23.41	tff(f3526,plain,(
22.28/23.41	  spl3_190 <=> $less($uminus(sK1),-2)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_190])])).
22.28/23.41	tff(f3528,plain,(
22.28/23.41	  spl3_190 | ~spl3_64),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3511,f504,f3526])).
22.28/23.41	tff(f3617,plain,(
22.28/23.41	  ~$less(0,$sum($uminus(sK0),1)) | ~spl3_0),
22.28/23.41	  inference(superposition,[],[f2470,f9])).
22.28/23.41	tff(f3640,plain,(
22.28/23.41	  ~$less($uminus(1),$uminus(sK0)) | ~spl3_0),
22.28/23.41	  inference(evaluation,[],[f3617])).
22.28/23.41	tff(f3641,plain,(
22.28/23.41	  ~$less(-1,$uminus(sK0)) | ~spl3_0),
22.28/23.41	  inference(evaluation,[],[f3640])).
22.28/23.41	tff(f3654,plain,(
22.28/23.41	  spl3_193 <=> ~$less(-1,$uminus(sK0))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_193])])).
22.28/23.41	tff(f3656,plain,(
22.28/23.41	  ~spl3_193 | ~spl3_0),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3641,f34,f3654])).
22.28/23.41	tff(f3657,plain,(
22.28/23.41	  ~$less(sK1,$sum(3,1)) | ~spl3_62),
22.28/23.41	  inference(resolution,[],[f2673,f16])).
22.28/23.41	tff(f3676,plain,(
22.28/23.41	  $less($sum(3,$uminus(sK1)),0) | ~spl3_62),
22.28/23.41	  inference(superposition,[],[f2673,f9])).
22.28/23.41	tff(f3692,plain,(
22.28/23.41	  $less($uminus(sK1),$uminus(3)) | ~spl3_62),
22.28/23.41	  inference(evaluation,[],[f3676])).
22.28/23.41	tff(f3693,plain,(
22.28/23.41	  $less($uminus(sK1),-3) | ~spl3_62),
22.28/23.41	  inference(evaluation,[],[f3692])).
22.28/23.41	tff(f3699,plain,(
22.28/23.41	  ~$less(sK1,4) | ~spl3_62),
22.28/23.41	  inference(evaluation,[],[f3657])).
22.28/23.41	tff(f3704,plain,(
22.28/23.41	  spl3_195 <=> ~$less(sK1,4)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_195])])).
22.28/23.41	tff(f3706,plain,(
22.28/23.41	  ~spl3_195 | ~spl3_62),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3699,f497,f3704])).
22.28/23.41	tff(f3715,plain,(
22.28/23.41	  spl3_196 <=> $less($uminus(sK1),-3)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_196])])).
22.28/23.41	tff(f3717,plain,(
22.28/23.41	  spl3_196 | ~spl3_62),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3693,f497,f3715])).
22.28/23.41	tff(f3720,plain,(
22.28/23.41	  ~$less($sum(sK0,sK0),1) | ~spl3_0),
22.28/23.41	  inference(resolution,[],[f1072,f2470])).
22.28/23.41	tff(f3746,plain,(
22.28/23.41	  $less(1,$sum(sK0,4)) | ~$less(1,4) | ~spl3_0),
22.28/23.41	  inference(Instantiation,[],[f1072])).
22.28/23.41	tff(f3747,plain,(
22.28/23.41	  $less(1,$sum(sK0,3)) | ~$less(1,3) | ~spl3_0),
22.28/23.41	  inference(Instantiation,[],[f1072])).
22.28/23.41	tff(f3750,plain,(
22.28/23.41	  $less($sum(1,-3),sK0) | ~spl3_0),
22.28/23.41	  inference(evaluation,[],[f3747])).
22.28/23.41	tff(f3751,plain,(
22.28/23.41	  $less(-2,sK0) | ~spl3_0),
22.28/23.41	  inference(evaluation,[],[f3750])).
22.28/23.41	tff(f3752,plain,(
22.28/23.41	  $less($sum(1,-4),sK0) | ~spl3_0),
22.28/23.41	  inference(evaluation,[],[f3746])).
22.28/23.41	tff(f3753,plain,(
22.28/23.41	  $less(-3,sK0) | ~spl3_0),
22.28/23.41	  inference(evaluation,[],[f3752])).
22.28/23.41	tff(f3758,plain,(
22.28/23.41	  spl3_199 <=> ~$less($sum(sK0,sK0),1)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_199])])).
22.28/23.41	tff(f3760,plain,(
22.28/23.41	  ~spl3_199 | ~spl3_0),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3720,f34,f3758])).
22.28/23.41	tff(f3766,plain,(
22.28/23.41	  spl3_200 <=> $less(-3,sK0)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_200])])).
22.28/23.41	tff(f3767,plain,(
22.28/23.41	  $less(-3,sK0) | ~spl3_200),
22.28/23.41	  inference(AVATAR_component_clause,[],[f3766])).
22.28/23.41	tff(f3768,plain,(
22.28/23.41	  spl3_200 | ~spl3_0),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3753,f34,f3766])).
22.28/23.41	tff(f3773,plain,(
22.28/23.41	  spl3_202 <=> $less(-2,sK0)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_202])])).
22.28/23.41	tff(f3774,plain,(
22.28/23.41	  $less(-2,sK0) | ~spl3_202),
22.28/23.41	  inference(AVATAR_component_clause,[],[f3773])).
22.28/23.41	tff(f3775,plain,(
22.28/23.41	  spl3_202 | ~spl3_0),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3751,f34,f3773])).
22.28/23.41	tff(f3776,plain,(
22.28/23.41	  ~$less($sum(sK1,$uminus(sK0)),1) | ~spl3_8),
22.28/23.41	  inference(resolution,[],[f1509,f700])).
22.28/23.41	tff(f3808,plain,(
22.28/23.41	  spl3_205 <=> ~$less($sum(sK1,$uminus(sK0)),1)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_205])])).
22.28/23.41	tff(f3810,plain,(
22.28/23.41	  ~spl3_205 | ~spl3_8),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3776,f61,f3808])).
22.28/23.41	tff(f3822,plain,(
22.28/23.41	  ~$less(3,$sum(1,$sum($sum($uminus(sK1),4),sK1))) | (~spl3_8 | ~spl3_116)),
22.28/23.41	  inference(resolution,[],[f1512,f1199])).
22.28/23.41	tff(f3825,plain,(
22.28/23.41	  $less($sum(sK0,$sum($uminus(sK1),2)),sK1) | (~spl3_8 | ~spl3_64)),
22.28/23.41	  inference(resolution,[],[f1512,f1069])).
22.28/23.41	tff(f3860,plain,(
22.28/23.41	  ~$less(3,$sum(1,$sum(sK1,$sum($uminus(sK1),4)))) | (~spl3_8 | ~spl3_116)),
22.28/23.41	  inference(forward_demodulation,[],[f3822,f5])).
22.28/23.41	tff(f3861,plain,(
22.28/23.41	  ~$less(3,$sum(1,4)) | (~spl3_8 | ~spl3_116)),
22.28/23.41	  inference(forward_demodulation,[],[f3860,f742])).
22.28/23.41	tff(f3862,plain,(
22.28/23.41	  $false | (~spl3_8 | ~spl3_116)),
22.28/23.41	  inference(evaluation,[],[f3861])).
22.28/23.41	tff(f3863,plain,(
22.28/23.41	  ~spl3_8 | ~spl3_116),
22.28/23.41	  inference(AVATAR_contradiction_clause,[],[f3862,f1152,f61])).
22.28/23.41	tff(f3864,plain,(
22.28/23.41	  $less($sum(2,$sum(sK0,$uminus(sK1))),sK1) | (~spl3_8 | ~spl3_64)),
22.28/23.41	  inference(forward_demodulation,[],[f3825,f695])).
22.28/23.41	tff(f3867,plain,(
22.28/23.41	  spl3_116 | spl3_40 | spl3_39),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1146,f279,f289,f1152])).
22.28/23.41	tff(f3868,plain,(
22.28/23.41	  spl3_116 | spl3_40 | spl3_39),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1145,f279,f289,f1152])).
22.28/23.41	tff(f3869,plain,(
22.28/23.41	  ~spl3_41 | ~spl3_43),
22.28/23.41	  inference(AVATAR_split_clause,[],[f361,f292,f286])).
22.28/23.41	tff(f3870,plain,(
22.28/23.41	  ~spl3_41 | ~spl3_43),
22.28/23.41	  inference(AVATAR_split_clause,[],[f362,f292,f286])).
22.28/23.41	tff(f3875,plain,(
22.28/23.41	  spl3_206 <=> $sum(-2,$sum(sK1,sK2)) = $sum(-1,$sum(-1,$sum(sK1,sK2)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_206])])).
22.28/23.41	tff(f3876,plain,(
22.28/23.41	  $sum(-2,$sum(sK1,sK2)) = $sum(-1,$sum(-1,$sum(sK1,sK2))) | ~spl3_206),
22.28/23.41	  inference(AVATAR_component_clause,[],[f3875])).
22.28/23.41	tff(f3877,plain,(
22.28/23.41	  spl3_206),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2916,f3875])).
22.28/23.41	tff(f3882,plain,(
22.28/23.41	  spl3_208 <=> $sum(-2,sK2) = $sum(-1,$sum(-1,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_208])])).
22.28/23.41	tff(f3884,plain,(
22.28/23.41	  spl3_208),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2920,f3882])).
22.28/23.41	tff(f3885,plain,(
22.28/23.41	  spl3_208),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2922,f3882])).
22.28/23.41	tff(f3890,plain,(
22.28/23.41	  spl3_210 <=> $sum(-4,sK2) = $sum(-1,$sum(-3,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_210])])).
22.28/23.41	tff(f3892,plain,(
22.28/23.41	  spl3_210),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2926,f3890])).
22.28/23.41	tff(f3897,plain,(
22.28/23.41	  spl3_212 <=> $sum(-5,sK2) = $sum(-1,$sum(-4,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_212])])).
22.28/23.41	tff(f3899,plain,(
22.28/23.41	  spl3_212),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2928,f3897])).
22.28/23.41	tff(f3900,plain,(
22.28/23.41	  $sum($uminus($sum(1,sK0)),sK2) = $sum(-1,$sum(sK2,$uminus(sK0)))),
22.28/23.41	  inference(forward_demodulation,[],[f3048,f1887])).
22.28/23.41	tff(f3901,plain,(
22.28/23.41	  $sum($sum(-1,$uminus(sK0)),sK2) = $sum(-1,$sum(sK2,$uminus(sK0))) | ~spl3_70),
22.28/23.41	  inference(forward_demodulation,[],[f3900,f607])).
22.28/23.41	tff(f3906,plain,(
22.28/23.41	  spl3_214 <=> $sum($sum(-1,$uminus(sK0)),sK2) = $sum(-1,$sum(sK2,$uminus(sK0)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_214])])).
22.28/23.41	tff(f3907,plain,(
22.28/23.41	  $sum($sum(-1,$uminus(sK0)),sK2) = $sum(-1,$sum(sK2,$uminus(sK0))) | ~spl3_214),
22.28/23.41	  inference(AVATAR_component_clause,[],[f3906])).
22.28/23.41	tff(f3908,plain,(
22.28/23.41	  spl3_214 | ~spl3_70),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3901,f606,f3906])).
22.28/23.41	tff(f3909,plain,(
22.28/23.41	  $sum(-1,$uminus(sK1)) = $sum($uminus($sum(1,$sum(sK1,sK2))),sK2)),
22.28/23.41	  inference(forward_demodulation,[],[f3035,f1887])).
22.28/23.41	tff(f3910,plain,(
22.28/23.41	  $sum(-1,$uminus(sK1)) = $sum($sum(-1,$uminus($sum(sK2,sK1))),sK2) | ~spl3_68),
22.28/23.41	  inference(forward_demodulation,[],[f3909,f1931])).
22.28/23.41	tff(f3911,plain,(
22.28/23.41	  $sum(-1,$uminus(sK1)) = $sum($sum(-1,$uminus($sum(sK1,sK2))),sK2) | ~spl3_68),
22.28/23.41	  inference(forward_demodulation,[],[f3910,f1887])).
22.28/23.41	tff(f3916,plain,(
22.28/23.41	  spl3_216 <=> $sum(-1,$uminus(sK1)) = $sum($sum(-1,$uminus($sum(sK1,sK2))),sK2)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_216])])).
22.28/23.41	tff(f3917,plain,(
22.28/23.41	  $sum(-1,$uminus(sK1)) = $sum($sum(-1,$uminus($sum(sK1,sK2))),sK2) | ~spl3_216),
22.28/23.41	  inference(AVATAR_component_clause,[],[f3916])).
22.28/23.41	tff(f3918,plain,(
22.28/23.41	  spl3_216 | ~spl3_68),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3911,f594,f3916])).
22.28/23.41	tff(f3919,plain,(
22.28/23.41	  $sum($uminus($sum(1,sK1)),sK2) = $sum(-1,$sum(sK2,$uminus(sK1)))),
22.28/23.41	  inference(forward_demodulation,[],[f3021,f1887])).
22.28/23.41	tff(f3920,plain,(
22.28/23.41	  $sum($sum(-1,$uminus(sK1)),sK2) = $sum(-1,$sum(sK2,$uminus(sK1))) | ~spl3_68),
22.28/23.41	  inference(forward_demodulation,[],[f3919,f595])).
22.28/23.41	tff(f3925,plain,(
22.28/23.41	  spl3_218 <=> $sum($sum(-1,$uminus(sK1)),sK2) = $sum(-1,$sum(sK2,$uminus(sK1)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_218])])).
22.28/23.41	tff(f3926,plain,(
22.28/23.41	  $sum($sum(-1,$uminus(sK1)),sK2) = $sum(-1,$sum(sK2,$uminus(sK1))) | ~spl3_218),
22.28/23.41	  inference(AVATAR_component_clause,[],[f3925])).
22.28/23.41	tff(f3927,plain,(
22.28/23.41	  spl3_218 | ~spl3_68),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3920,f594,f3925])).
22.28/23.41	tff(f3928,plain,(
22.28/23.41	  $sum($uminus($sum(1,sK2)),sK2) = -1),
22.28/23.41	  inference(forward_demodulation,[],[f3017,f1887])).
22.28/23.41	tff(f3933,plain,(
22.28/23.41	  spl3_220 <=> $sum($uminus($sum(1,sK2)),sK2) = -1),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_220])])).
22.28/23.41	tff(f3934,plain,(
22.28/23.41	  $sum($uminus($sum(1,sK2)),sK2) = -1 | ~spl3_220),
22.28/23.41	  inference(AVATAR_component_clause,[],[f3933])).
22.28/23.41	tff(f3935,plain,(
22.28/23.41	  spl3_220),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3928,f3933])).
22.28/23.41	tff(f3936,plain,(
22.28/23.41	  $sum($uminus($sum(1,sK2)),sK2) = -1),
22.28/23.41	  inference(forward_demodulation,[],[f3011,f1887])).
22.28/23.41	tff(f3937,plain,(
22.28/23.41	  spl3_220),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3936,f3933])).
22.28/23.41	tff(f3938,plain,(
22.28/23.41	  $sum($uminus($sum(3,sK2)),sK2) = -3),
22.28/23.41	  inference(forward_demodulation,[],[f3005,f1887])).
22.28/23.41	tff(f3943,plain,(
22.28/23.41	  spl3_222 <=> $sum($uminus($sum(3,sK2)),sK2) = -3),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_222])])).
22.28/23.41	tff(f3944,plain,(
22.28/23.41	  $sum($uminus($sum(3,sK2)),sK2) = -3 | ~spl3_222),
22.28/23.41	  inference(AVATAR_component_clause,[],[f3943])).
22.28/23.41	tff(f3945,plain,(
22.28/23.41	  spl3_222),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3938,f3943])).
22.28/23.41	tff(f3946,plain,(
22.28/23.41	  $sum($uminus($sum(4,sK2)),sK2) = -4),
22.28/23.41	  inference(forward_demodulation,[],[f2999,f1887])).
22.28/23.41	tff(f3951,plain,(
22.28/23.41	  spl3_224 <=> $sum($uminus($sum(4,sK2)),sK2) = -4),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_224])])).
22.28/23.41	tff(f3952,plain,(
22.28/23.41	  $sum($uminus($sum(4,sK2)),sK2) = -4 | ~spl3_224),
22.28/23.41	  inference(AVATAR_component_clause,[],[f3951])).
22.28/23.41	tff(f3953,plain,(
22.28/23.41	  spl3_224),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3946,f3951])).
22.28/23.41	tff(f3958,plain,(
22.28/23.41	  spl3_226 <=> $sum(sK1,sK2) = 1),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_226])])).
22.28/23.41	tff(f3964,plain,(
22.28/23.41	  spl3_228 <=> $less($sum(sK1,sK2),1)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_228])])).
22.28/23.41	tff(f3970,plain,(
22.28/23.41	  spl3_230 <=> $less(2,$sum(1,$sum(sK1,sK2)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_230])])).
22.28/23.41	tff(f3971,plain,(
22.28/23.41	  $less(2,$sum(1,$sum(sK1,sK2))) | ~spl3_230),
22.28/23.41	  inference(AVATAR_component_clause,[],[f3970])).
22.28/23.41	tff(f3972,plain,(
22.28/23.41	  spl3_226 | spl3_228 | spl3_230),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2832,f3970,f3964,f3958])).
22.28/23.41	tff(f3973,plain,(
22.28/23.41	  spl3_4 | spl3_92 | spl3_61),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2830,f461,f951,f45])).
22.28/23.41	tff(f3974,plain,(
22.28/23.41	  ~spl3_39 | spl3_4 | spl3_61),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2745,f461,f45,f279])).
22.28/23.41	tff(f3975,plain,(
22.28/23.41	  ~spl3_39 | spl3_4 | spl3_61),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2741,f461,f45,f279])).
22.28/23.41	tff(f3976,plain,(
22.28/23.41	  ~$less(sK2,0)),
22.28/23.41	  inference(global_subsumption,[],[f25])).
22.28/23.41	tff(f3977,plain,(
22.28/23.41	  ~spl3_5),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3976,f48])).
22.28/23.41	tff(f3979,plain,(
22.28/23.41	  spl3_232 <=> $less(sK2,3)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_232])])).
22.28/23.41	tff(f3982,plain,(
22.28/23.41	  spl3_233 <=> ~$less(sK2,3)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_233])])).
22.28/23.41	tff(f3988,plain,(
22.28/23.41	  spl3_234 <=> sK2 = 2),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_234])])).
22.28/23.41	tff(f3989,plain,(
22.28/23.41	  sK2 = 2 | ~spl3_234),
22.28/23.41	  inference(AVATAR_component_clause,[],[f3988])).
22.28/23.41	tff(f3990,plain,(
22.28/23.41	  ~spl3_233 | spl3_234 | spl3_42),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2721,f295,f3988,f3982])).
22.28/23.41	tff(f3995,plain,(
22.28/23.41	  spl3_236 <=> 3 = sK2),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_236])])).
22.28/23.41	tff(f3997,plain,(
22.28/23.41	  ~spl3_35 | spl3_236 | spl3_232),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2723,f3979,f3995,f266])).
22.28/23.41	tff(f3999,plain,(
22.28/23.41	  spl3_239 <=> ~$less(2,$sum(sK1,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_239])])).
22.28/23.41	tff(f4002,plain,(
22.28/23.41	  spl3_238 <=> $less(2,$sum(sK1,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_238])])).
22.28/23.41	tff(f4005,plain,(
22.28/23.41	  spl3_241 <=> ~$less($sum(sK1,sK2),3)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_241])])).
22.28/23.41	tff(f4008,plain,(
22.28/23.41	  spl3_240 <=> $less($sum(sK1,sK2),3)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_240])])).
22.28/23.41	tff(f4010,plain,(
22.28/23.41	  spl3_238 | spl3_240),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2624,f4008,f4002])).
22.28/23.41	tff(f4012,plain,(
22.28/23.41	  spl3_243 <=> ~$less(2,sK2)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_243])])).
22.28/23.41	tff(f4015,plain,(
22.28/23.41	  spl3_242 <=> $less(2,sK2)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_242])])).
22.28/23.41	tff(f4017,plain,(
22.28/23.41	  spl3_242 | spl3_232),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2628,f3979,f4015])).
22.28/23.41	tff(f4018,plain,(
22.28/23.41	  spl3_242 | spl3_232),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2630,f3979,f4015])).
22.28/23.41	tff(f4019,plain,(
22.28/23.41	  spl3_40 | spl3_42),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2632,f295,f289])).
22.28/23.41	tff(f4020,plain,(
22.28/23.41	  spl3_28 | spl3_30),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2634,f256,f250])).
22.28/23.41	tff(f4022,plain,(
22.28/23.41	  spl3_245 <=> ~$less(5,sK2)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_245])])).
22.28/23.41	tff(f4025,plain,(
22.28/23.41	  spl3_244 <=> $less(5,sK2)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_244])])).
22.28/23.41	tff(f4028,plain,(
22.28/23.41	  spl3_247 <=> ~$less(sK2,6)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_247])])).
22.28/23.41	tff(f4029,plain,(
22.28/23.41	  ~$less(sK2,6) | ~spl3_247),
22.28/23.41	  inference(AVATAR_component_clause,[],[f4028])).
22.28/23.41	tff(f4031,plain,(
22.28/23.41	  spl3_246 <=> $less(sK2,6)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_246])])).
22.28/23.41	tff(f4033,plain,(
22.28/23.41	  spl3_244 | spl3_246),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2636,f4031,f4025])).
22.28/23.41	tff(f4034,plain,(
22.28/23.41	  ~spl3_239 | ~spl3_241),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2521,f4005,f3999])).
22.28/23.41	tff(f4035,plain,(
22.28/23.41	  ~spl3_243 | ~spl3_233),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2525,f3982,f4012])).
22.28/23.41	tff(f4036,plain,(
22.28/23.41	  ~spl3_243 | ~spl3_233),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2527,f3982,f4012])).
22.28/23.41	tff(f4037,plain,(
22.28/23.41	  ~spl3_41 | ~spl3_43),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2529,f292,f286])).
22.28/23.41	tff(f4038,plain,(
22.28/23.41	  ~spl3_29 | ~spl3_31),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2531,f253,f247])).
22.28/23.41	tff(f4039,plain,(
22.28/23.41	  ~spl3_245 | ~spl3_247),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2533,f4028,f4022])).
22.28/23.41	tff(f4044,plain,(
22.28/23.41	  spl3_248 <=> $less(2,$sum(2,$sum(sK1,sK2)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_248])])).
22.28/23.41	tff(f4045,plain,(
22.28/23.41	  $less(2,$sum(2,$sum(sK1,sK2))) | ~spl3_248),
22.28/23.41	  inference(AVATAR_component_clause,[],[f4044])).
22.28/23.41	tff(f4046,plain,(
22.28/23.41	  spl3_228 | spl3_248),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2462,f4044,f3964])).
22.28/23.41	tff(f4047,plain,(
22.28/23.41	  $less(sK2,$sum(1,$sum(sK2,sK2)))),
22.28/23.41	  inference(global_subsumption,[],[f3976,f2459])).
22.28/23.41	tff(f4052,plain,(
22.28/23.41	  spl3_250 <=> $less(sK2,$sum(1,$sum(sK2,sK2)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_250])])).
22.28/23.41	tff(f4054,plain,(
22.28/23.41	  spl3_250),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4047,f4052])).
22.28/23.41	tff(f4055,plain,(
22.28/23.41	  spl3_232 | ~spl3_39),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2365,f279,f3979])).
22.28/23.41	tff(f4056,plain,(
22.28/23.41	  spl3_34 | ~spl3_39),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2366,f279,f269])).
22.28/23.41	tff(f4057,plain,(
22.28/23.41	  $sum(2,sK2) = $sum(1,$sum(1,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f2263,f5])).
22.28/23.41	tff(f4058,plain,(
22.28/23.41	  spl3_82),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4057,f915])).
22.28/23.41	tff(f4059,plain,(
22.28/23.41	  $sum(2,sK2) = $sum(1,$sum(1,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f2264,f5])).
22.28/23.41	tff(f4060,plain,(
22.28/23.41	  spl3_82),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4059,f915])).
22.28/23.41	tff(f4061,plain,(
22.28/23.41	  $sum(4,sK2) = $sum(1,$sum(3,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f2266,f5])).
22.28/23.41	tff(f4062,plain,(
22.28/23.41	  spl3_84),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4061,f923])).
22.28/23.41	tff(f4063,plain,(
22.28/23.41	  $sum(5,sK2) = $sum(1,$sum(4,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f2267,f5])).
22.28/23.41	tff(f4064,plain,(
22.28/23.41	  spl3_86),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4063,f930])).
22.28/23.41	tff(f4065,plain,(
22.28/23.41	  spl3_82),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2130,f915])).
22.28/23.41	tff(f4066,plain,(
22.28/23.41	  spl3_82),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2131,f915])).
22.28/23.41	tff(f4067,plain,(
22.28/23.41	  spl3_84),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2133,f923])).
22.28/23.41	tff(f4068,plain,(
22.28/23.41	  spl3_86),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2134,f930])).
22.28/23.41	tff(f4069,plain,(
22.28/23.41	  spl3_232 | spl3_36),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2020,f276,f3979])).
22.28/23.41	tff(f4070,plain,(
22.28/23.41	  spl3_34 | spl3_36),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2022,f276,f269])).
22.28/23.41	tff(f4071,plain,(
22.28/23.41	  spl3_36 | ~spl3_41),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2065,f286,f276])).
22.28/23.41	tff(f4072,plain,(
22.28/23.41	  spl3_36 | ~spl3_41),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2063,f286,f276])).
22.28/23.41	tff(f4077,plain,(
22.28/23.41	  spl3_252 <=> $less(-1,sK2)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_252])])).
22.28/23.41	tff(f4079,plain,(
22.28/23.41	  spl3_252 | ~spl3_37),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2059,f273,f4077])).
22.28/23.41	tff(f4080,plain,(
22.28/23.41	  spl3_242 | ~spl3_33),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2057,f260,f4015])).
22.28/23.41	tff(f4081,plain,(
22.28/23.41	  spl3_32 | ~spl3_29),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2055,f247,f263])).
22.28/23.41	tff(f4082,plain,(
22.28/23.41	  $sum(-1,$uminus(sK2)) = $uminus($sum(1,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f1965,f5])).
22.28/23.41	tff(f4083,plain,(
22.28/23.41	  spl3_96),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4082,f967])).
22.28/23.41	tff(f4084,plain,(
22.28/23.41	  $sum(-1,$uminus(sK2)) = $uminus($sum(1,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f1962,f5])).
22.28/23.41	tff(f4085,plain,(
22.28/23.41	  spl3_96),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4084,f967])).
22.28/23.41	tff(f4086,plain,(
22.28/23.41	  $sum(-3,$uminus(sK2)) = $uminus($sum(3,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f1959,f5])).
22.28/23.41	tff(f4087,plain,(
22.28/23.41	  spl3_98),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4086,f977])).
22.28/23.41	tff(f4088,plain,(
22.28/23.41	  $sum(-4,$uminus(sK2)) = $uminus($sum(4,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f1956,f5])).
22.28/23.41	tff(f4089,plain,(
22.28/23.41	  spl3_100),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4088,f985])).
22.28/23.41	tff(f4090,plain,(
22.28/23.41	  $sum(1,$uminus($sum(sK1,sK2))) = $uminus($sum(-1,$sum(sK1,sK2)))),
22.28/23.41	  inference(forward_demodulation,[],[f1832,f5])).
22.28/23.41	tff(f4095,plain,(
22.28/23.41	  spl3_254 <=> $sum(1,$uminus($sum(sK1,sK2))) = $uminus($sum(-1,$sum(sK1,sK2)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_254])])).
22.28/23.41	tff(f4096,plain,(
22.28/23.41	  $sum(1,$uminus($sum(sK1,sK2))) = $uminus($sum(-1,$sum(sK1,sK2))) | ~spl3_254),
22.28/23.41	  inference(AVATAR_component_clause,[],[f4095])).
22.28/23.41	tff(f4097,plain,(
22.28/23.41	  spl3_254),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4090,f4095])).
22.28/23.41	tff(f4098,plain,(
22.28/23.41	  $sum(1,$uminus(sK2)) = $uminus($sum(-1,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f1834,f5])).
22.28/23.41	tff(f4103,plain,(
22.28/23.41	  spl3_256 <=> $sum(1,$uminus(sK2)) = $uminus($sum(-1,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_256])])).
22.28/23.41	tff(f4105,plain,(
22.28/23.41	  spl3_256),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4098,f4103])).
22.28/23.41	tff(f4106,plain,(
22.28/23.41	  $sum(1,$uminus(sK2)) = $uminus($sum(-1,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f1835,f5])).
22.28/23.41	tff(f4107,plain,(
22.28/23.41	  spl3_256),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4106,f4103])).
22.28/23.41	tff(f4108,plain,(
22.28/23.41	  $sum(3,$uminus(sK2)) = $uminus($sum(-3,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f1838,f5])).
22.28/23.41	tff(f4113,plain,(
22.28/23.41	  spl3_258 <=> $sum(3,$uminus(sK2)) = $uminus($sum(-3,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_258])])).
22.28/23.41	tff(f4115,plain,(
22.28/23.41	  spl3_258),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4108,f4113])).
22.28/23.41	tff(f4116,plain,(
22.28/23.41	  $sum(4,$uminus(sK2)) = $uminus($sum(-4,sK2))),
22.28/23.41	  inference(forward_demodulation,[],[f1839,f5])).
22.28/23.41	tff(f4121,plain,(
22.28/23.41	  spl3_260 <=> $sum(4,$uminus(sK2)) = $uminus($sum(-4,sK2))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_260])])).
22.28/23.41	tff(f4123,plain,(
22.28/23.41	  spl3_260),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4116,f4121])).
22.28/23.41	tff(f4124,plain,(
22.28/23.41	  spl3_254),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1774,f4095])).
22.28/23.41	tff(f4125,plain,(
22.28/23.41	  spl3_256),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1763,f4103])).
22.28/23.41	tff(f4126,plain,(
22.28/23.41	  spl3_256),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1760,f4103])).
22.28/23.41	tff(f4127,plain,(
22.28/23.41	  spl3_258),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1757,f4113])).
22.28/23.41	tff(f4128,plain,(
22.28/23.41	  spl3_260),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1754,f4121])).
22.28/23.41	tff(f4133,plain,(
22.28/23.41	  spl3_262 <=> $sum(sK1,sK2) = $sum(1,$sum(-1,$sum(sK1,sK2)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_262])])).
22.28/23.41	tff(f4134,plain,(
22.28/23.41	  $sum(sK1,sK2) = $sum(1,$sum(-1,$sum(sK1,sK2))) | ~spl3_262),
22.28/23.41	  inference(AVATAR_component_clause,[],[f4133])).
22.28/23.41	tff(f4135,plain,(
22.28/23.41	  spl3_262),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1538,f4133])).
22.28/23.41	tff(f4140,plain,(
22.28/23.41	  spl3_264 <=> $sum(1,$sum(-1,sK2)) = sK2),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_264])])).
22.28/23.41	tff(f4141,plain,(
22.28/23.41	  $sum(1,$sum(-1,sK2)) = sK2 | ~spl3_264),
22.28/23.41	  inference(AVATAR_component_clause,[],[f4140])).
22.28/23.41	tff(f4142,plain,(
22.28/23.41	  spl3_264),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1540,f4140])).
22.28/23.41	tff(f4143,plain,(
22.28/23.41	  spl3_264),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1541,f4140])).
22.28/23.41	tff(f4148,plain,(
22.28/23.41	  spl3_266 <=> $sum(3,$sum(-3,sK2)) = sK2),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_266])])).
22.28/23.41	tff(f4150,plain,(
22.28/23.41	  spl3_266),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1545,f4148])).
22.28/23.41	tff(f4155,plain,(
22.28/23.41	  spl3_268 <=> $sum(4,$sum(-4,sK2)) = sK2),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_268])])).
22.28/23.41	tff(f4157,plain,(
22.28/23.41	  spl3_268),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1546,f4155])).
22.28/23.41	tff(f4158,plain,(
22.28/23.41	  ~spl3_49 | ~spl3_51),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1473,f319,f313])).
22.28/23.41	tff(f4159,plain,(
22.28/23.41	  ~spl3_41 | ~spl3_43),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1475,f292,f286])).
22.28/23.41	tff(f4160,plain,(
22.28/23.41	  ~spl3_41 | ~spl3_43),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1476,f292,f286])).
22.28/23.41	tff(f4161,plain,(
22.28/23.41	  ~spl3_33 | ~spl3_35),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1478,f266,f260])).
22.28/23.41	tff(f4162,plain,(
22.28/23.41	  ~spl3_29 | ~spl3_31),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1479,f253,f247])).
22.28/23.41	tff(f4163,plain,(
22.28/23.41	  spl3_48 | spl3_50),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1419,f322,f316])).
22.28/23.41	tff(f4164,plain,(
22.28/23.41	  spl3_40 | spl3_42),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1421,f295,f289])).
22.28/23.41	tff(f4165,plain,(
22.28/23.41	  spl3_40 | spl3_42),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1422,f295,f289])).
22.28/23.41	tff(f4166,plain,(
22.28/23.41	  spl3_32 | spl3_34),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1424,f269,f263])).
22.28/23.41	tff(f4167,plain,(
22.28/23.41	  spl3_28 | spl3_30),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1425,f256,f250])).
22.28/23.41	tff(f4172,plain,(
22.28/23.41	  spl3_270 <=> $less($sum(2,$sum(sK0,$uminus(sK1))),sK1)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_270])])).
22.28/23.41	tff(f4174,plain,(
22.28/23.41	  spl3_270 | ~spl3_8 | ~spl3_64),
22.28/23.41	  inference(AVATAR_split_clause,[],[f3864,f504,f61,f4172])).
22.28/23.41	tff(f4175,plain,(
22.28/23.41	  ( ! [X3:$int] : (~$less(3,$sum(sK1,$sum(2,X3))) | ~$less($sum(sK0,X3),4)) ) | ~spl3_234),
22.28/23.41	  inference(backward_demodulation,[],[f3989,f29])).
22.28/23.41	tff(f4177,plain,(
22.28/23.41	  ~$less(3,$sum(sK1,$sum(2,$uminus(sK0)))) | (~spl3_27 | ~spl3_234)),
22.28/23.41	  inference(backward_demodulation,[],[f3989,f189])).
22.28/23.41	tff(f4210,plain,(
22.28/23.41	  $less(2,$sum(2,$sum(sK1,2))) | (~spl3_234 | ~spl3_248)),
22.28/23.41	  inference(backward_demodulation,[],[f3989,f4045])).
22.28/23.41	tff(f4213,plain,(
22.28/23.41	  $sum(1,$uminus($sum(sK1,2))) = $uminus($sum(-1,$sum(sK1,2))) | (~spl3_234 | ~spl3_254)),
22.28/23.41	  inference(backward_demodulation,[],[f3989,f4096])).
22.28/23.41	tff(f4217,plain,(
22.28/23.41	  $sum(sK1,2) = $sum(1,$sum(-1,$sum(sK1,2))) | (~spl3_234 | ~spl3_262)),
22.28/23.41	  inference(backward_demodulation,[],[f3989,f4134])).
22.28/23.41	tff(f4228,plain,(
22.28/23.41	  $less($sum($sum(2,-2),-2),sK1) | (~spl3_234 | ~spl3_248)),
22.28/23.41	  inference(evaluation,[],[f4210])).
22.28/23.41	tff(f4229,plain,(
22.28/23.41	  $less($sum(0,-2),sK1) | (~spl3_234 | ~spl3_248)),
22.28/23.41	  inference(evaluation,[],[f4228])).
22.28/23.41	tff(f4230,plain,(
22.28/23.41	  $less(-2,sK1) | (~spl3_234 | ~spl3_248)),
22.28/23.41	  inference(evaluation,[],[f4229])).
22.28/23.41	tff(f4245,plain,(
22.28/23.41	  ( ! [X3:$int] : (~$less($sum(sK0,X3),4) | ~$less(3,$sum(2,$sum(X3,sK1)))) ) | ~spl3_234),
22.28/23.41	  inference(forward_demodulation,[],[f4175,f695])).
22.28/23.41	tff(f4246,plain,(
22.28/23.41	  ~$less(3,$sum(2,$sum($uminus(sK0),sK1))) | (~spl3_27 | ~spl3_234)),
22.28/23.41	  inference(forward_demodulation,[],[f4177,f695])).
22.28/23.41	tff(f4247,plain,(
22.28/23.41	  ~$less(3,$sum(2,$sum(sK1,$uminus(sK0)))) | (~spl3_27 | ~spl3_234)),
22.28/23.41	  inference(forward_demodulation,[],[f4246,f5])).
22.28/23.41	tff(f4252,plain,(
22.28/23.41	  spl3_273 <=> ~$less(3,$sum(2,$sum(sK1,$uminus(sK0))))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_273])])).
22.28/23.41	tff(f4253,plain,(
22.28/23.41	  ~$less(3,$sum(2,$sum(sK1,$uminus(sK0)))) | ~spl3_273),
22.28/23.41	  inference(AVATAR_component_clause,[],[f4252])).
22.28/23.41	tff(f4254,plain,(
22.28/23.41	  ~spl3_273 | spl3_27 | ~spl3_234),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4247,f3988,f188,f4252])).
22.28/23.41	tff(f4262,plain,(
22.28/23.41	  spl3_274 <=> $less(-2,sK1)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_274])])).
22.28/23.41	tff(f4264,plain,(
22.28/23.41	  spl3_274 | ~spl3_234 | ~spl3_248),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4230,f4044,f3988,f4262])).
22.28/23.41	tff(f4265,plain,(
22.28/23.41	  $sum(1,$uminus($sum(2,sK1))) = $uminus($sum(-1,$sum(2,sK1))) | (~spl3_234 | ~spl3_254)),
22.28/23.41	  inference(forward_demodulation,[],[f4213,f5])).
22.28/23.41	tff(f4270,plain,(
22.28/23.41	  spl3_276 <=> $sum(1,$uminus($sum(2,sK1))) = $uminus($sum(-1,$sum(2,sK1)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_276])])).
22.28/23.41	tff(f4272,plain,(
22.28/23.41	  spl3_276 | ~spl3_234 | ~spl3_254),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4265,f4095,f3988,f4270])).
22.28/23.41	tff(f4273,plain,(
22.28/23.41	  $sum(2,sK1) = $sum(1,$sum(-1,$sum(2,sK1))) | (~spl3_234 | ~spl3_262)),
22.28/23.41	  inference(forward_demodulation,[],[f4217,f5])).
22.28/23.41	tff(f4278,plain,(
22.28/23.41	  spl3_278 <=> $sum(2,sK1) = $sum(1,$sum(-1,$sum(2,sK1)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_278])])).
22.28/23.41	tff(f4280,plain,(
22.28/23.41	  spl3_278 | ~spl3_234 | ~spl3_262),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4273,f4133,f3988,f4278])).
22.28/23.41	tff(f4295,plain,(
22.28/23.41	  $sum($sum(-1,$uminus(sK1)),2) = $sum(-1,$sum(2,$uminus(sK1))) | (~spl3_218 | ~spl3_234)),
22.28/23.41	  inference(forward_demodulation,[],[f3926,f3989])).
22.28/23.41	tff(f4300,plain,(
22.28/23.41	  spl3_280 <=> $sum($sum(-1,$uminus(sK1)),2) = $sum(-1,$sum(2,$uminus(sK1)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_280])])).
22.28/23.41	tff(f4302,plain,(
22.28/23.41	  spl3_280 | ~spl3_218 | ~spl3_234),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4295,f3988,f3925,f4300])).
22.28/23.41	tff(f4303,plain,(
22.28/23.41	  $sum(-1,$uminus(sK1)) = $sum($sum(-1,$uminus($sum(sK1,2))),2) | (~spl3_216 | ~spl3_234)),
22.28/23.41	  inference(forward_demodulation,[],[f3917,f3989])).
22.28/23.41	tff(f4304,plain,(
22.28/23.41	  $sum(-1,$uminus(sK1)) = $sum($sum(-1,$uminus($sum(2,sK1))),2) | (~spl3_216 | ~spl3_234)),
22.28/23.41	  inference(forward_demodulation,[],[f4303,f1887])).
22.28/23.41	tff(f4309,plain,(
22.28/23.41	  spl3_282 <=> $sum(-1,$uminus(sK1)) = $sum($sum(-1,$uminus($sum(2,sK1))),2)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_282])])).
22.28/23.41	tff(f4311,plain,(
22.28/23.41	  spl3_282 | ~spl3_216 | ~spl3_234),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4304,f3988,f3916,f4309])).
22.28/23.41	tff(f4312,plain,(
22.28/23.41	  $sum($sum(-1,$uminus(sK0)),2) = $sum(-1,$sum(2,$uminus(sK0))) | (~spl3_214 | ~spl3_234)),
22.28/23.41	  inference(forward_demodulation,[],[f3907,f3989])).
22.28/23.41	tff(f4317,plain,(
22.28/23.41	  spl3_284 <=> $sum($sum(-1,$uminus(sK0)),2) = $sum(-1,$sum(2,$uminus(sK0)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_284])])).
22.28/23.41	tff(f4319,plain,(
22.28/23.41	  spl3_284 | ~spl3_214 | ~spl3_234),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4312,f3988,f3906,f4317])).
22.28/23.41	tff(f4326,plain,(
22.28/23.41	  $sum(-2,$sum(sK1,2)) = $sum(-1,$sum(-1,$sum(sK1,2))) | (~spl3_206 | ~spl3_234)),
22.28/23.41	  inference(forward_demodulation,[],[f3876,f3989])).
22.28/23.41	tff(f4327,plain,(
22.28/23.41	  $sum(-2,$sum(2,sK1)) = $sum(-1,$sum(-1,$sum(2,sK1))) | (~spl3_206 | ~spl3_234)),
22.28/23.41	  inference(forward_demodulation,[],[f4326,f5])).
22.28/23.41	tff(f4328,plain,(
22.28/23.41	  $sum(2,$sum(sK1,-2)) = $sum(-1,$sum(-1,$sum(2,sK1))) | (~spl3_206 | ~spl3_234)),
22.28/23.41	  inference(forward_demodulation,[],[f4327,f695])).
22.28/23.41	tff(f4329,plain,(
22.28/23.41	  $sum(2,$sum(-2,sK1)) = $sum(-1,$sum(-1,$sum(2,sK1))) | (~spl3_206 | ~spl3_234)),
22.28/23.41	  inference(forward_demodulation,[],[f4328,f5])).
22.28/23.41	tff(f4334,plain,(
22.28/23.41	  spl3_286 <=> $sum(2,$sum(-2,sK1)) = $sum(-1,$sum(-1,$sum(2,sK1)))),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_286])])).
22.28/23.41	tff(f4336,plain,(
22.28/23.41	  spl3_286 | ~spl3_206 | ~spl3_234),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4329,f3988,f3875,f4334])).
22.28/23.41	tff(f4337,plain,(
22.28/23.41	  ~$less(3,$sum(2,$sum($sum($uminus(sK1),4),sK1))) | (~spl3_8 | ~spl3_234)),
22.28/23.41	  inference(resolution,[],[f4245,f1512])).
22.28/23.41	tff(f4373,plain,(
22.28/23.41	  ~$less(3,$sum(2,$sum(sK1,$sum($uminus(sK1),4)))) | (~spl3_8 | ~spl3_234)),
22.28/23.41	  inference(forward_demodulation,[],[f4337,f5])).
22.28/23.41	tff(f4374,plain,(
22.28/23.41	  ~$less(3,$sum(2,4)) | (~spl3_8 | ~spl3_234)),
22.28/23.41	  inference(forward_demodulation,[],[f4373,f742])).
22.28/23.41	tff(f4375,plain,(
22.28/23.41	  $false | (~spl3_8 | ~spl3_234)),
22.28/23.41	  inference(evaluation,[],[f4374])).
22.28/23.41	tff(f4376,plain,(
22.28/23.41	  ~spl3_8 | ~spl3_234),
22.28/23.41	  inference(AVATAR_contradiction_clause,[],[f4375,f3988,f61])).
22.28/23.41	tff(f4409,plain,(
22.28/23.41	  spl3_60 | spl3_36 | spl3_5),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1003,f48,f276,f464])).
22.28/23.41	tff(f4410,plain,(
22.28/23.41	  spl3_60 | spl3_36 | spl3_5),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1002,f48,f276,f464])).
22.28/23.41	tff(f4411,plain,(
22.28/23.41	  $less(sK2,$sum(sK2,sK2)) | 0 = sK2),
22.28/23.41	  inference(global_subsumption,[],[f3976,f2825])).
22.28/23.41	tff(f4412,plain,(
22.28/23.41	  spl3_60 | spl3_92),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4411,f951,f464])).
22.28/23.41	tff(f4413,plain,(
22.28/23.41	  ~$less(sK2,1) | 0 = sK2),
22.28/23.41	  inference(global_subsumption,[],[f3976,f2715])).
22.28/23.41	tff(f4414,plain,(
22.28/23.41	  spl3_60 | ~spl3_39),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4413,f279,f464])).
22.28/23.41	tff(f4415,plain,(
22.28/23.41	  0 = sK2 | ~$less(sK2,1)),
22.28/23.41	  inference(global_subsumption,[],[f4413])).
22.28/23.41	tff(f4416,plain,(
22.28/23.41	  ~spl3_39 | spl3_60),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4415,f464,f279])).
22.28/23.41	tff(f4417,plain,(
22.28/23.41	  $sum($sum(-4,$uminus(sK2)),sK2) = -4 | (~spl3_100 | ~spl3_224)),
22.28/23.41	  inference(backward_demodulation,[],[f986,f3952])).
22.28/23.41	tff(f4422,plain,(
22.28/23.41	  spl3_288 <=> $sum($sum(-4,$uminus(sK2)),sK2) = -4),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_288])])).
22.28/23.41	tff(f4424,plain,(
22.28/23.41	  spl3_288 | ~spl3_100 | ~spl3_224),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4417,f3951,f985,f4422])).
22.28/23.41	tff(f4425,plain,(
22.28/23.41	  $sum($sum(-3,$uminus(sK2)),sK2) = -3 | (~spl3_98 | ~spl3_222)),
22.28/23.41	  inference(backward_demodulation,[],[f978,f3944])).
22.28/23.41	tff(f4430,plain,(
22.28/23.41	  spl3_290 <=> $sum($sum(-3,$uminus(sK2)),sK2) = -3),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_290])])).
22.28/23.41	tff(f4432,plain,(
22.28/23.41	  spl3_290 | ~spl3_98 | ~spl3_222),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4425,f3943,f977,f4430])).
22.28/23.41	tff(f4433,plain,(
22.28/23.41	  $sum($sum(-1,$uminus(sK2)),sK2) = -1 | (~spl3_96 | ~spl3_220)),
22.28/23.41	  inference(backward_demodulation,[],[f968,f3934])).
22.28/23.41	tff(f4438,plain,(
22.28/23.41	  spl3_292 <=> $sum($sum(-1,$uminus(sK2)),sK2) = -1),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_292])])).
22.28/23.41	tff(f4440,plain,(
22.28/23.41	  spl3_292 | ~spl3_96 | ~spl3_220),
22.28/23.41	  inference(AVATAR_split_clause,[],[f4433,f3933,f967,f4438])).
22.28/23.41	tff(f4536,plain,(
22.28/23.41	  $less(3,$sum(1,$sum(sK2,sK1))) | ~spl3_24),
22.28/23.41	  inference(forward_demodulation,[],[f164,f695])).
22.28/23.41	tff(f4537,plain,(
22.28/23.41	  $less(3,$sum(1,$sum(sK1,sK2))) | ~spl3_24),
22.28/23.41	  inference(forward_demodulation,[],[f4536,f5])).
22.28/23.41	tff(f4552,plain,(
22.28/23.41	  ~$less(3,$sum(sK1,$sum($uminus(sK1),4))) | (~spl3_8 | ~spl3_60)),
22.28/23.41	  inference(resolution,[],[f495,f1512])).
22.28/23.41	tff(f4582,plain,(
22.28/23.41	  ~$less(3,4) | (~spl3_8 | ~spl3_60)),
22.28/23.41	  inference(forward_demodulation,[],[f4552,f742])).
22.28/23.41	tff(f4583,plain,(
22.28/23.41	  $false | (~spl3_8 | ~spl3_60)),
22.28/23.41	  inference(evaluation,[],[f4582])).
22.28/23.41	tff(f4584,plain,(
22.28/23.41	  ~spl3_8 | ~spl3_60),
22.28/23.41	  inference(AVATAR_contradiction_clause,[],[f4583,f464,f61])).
22.28/23.41	tff(f4586,plain,(
22.28/23.41	  spl3_40 | ~spl3_29),
22.28/23.41	  inference(AVATAR_split_clause,[],[f411,f247,f289])).
22.28/23.41	tff(f4587,plain,(
22.28/23.41	  ~spl3_29 | ~spl3_31),
22.28/23.41	  inference(AVATAR_split_clause,[],[f365,f253,f247])).
22.28/23.41	tff(f4588,plain,(
22.28/23.41	  spl3_40 | ~spl3_33),
22.28/23.41	  inference(AVATAR_split_clause,[],[f410,f260,f289])).
22.28/23.41	tff(f4589,plain,(
22.28/23.41	  ~spl3_33 | ~spl3_35),
22.28/23.41	  inference(AVATAR_split_clause,[],[f364,f266,f260])).
22.28/23.41	tff(f4594,plain,(
22.28/23.41	  spl3_294 <=> $less(sK2,sK1)),
22.28/23.41	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_294])])).
22.28/23.41	tff(f4596,plain,(
22.28/23.41	  spl3_294 | spl3_36 | ~spl3_45),
22.28/23.41	  inference(AVATAR_split_clause,[],[f2028,f300,f276,f4594])).
22.28/23.41	tff(f4597,plain,(
22.28/23.41	  spl3_44 | spl3_46),
22.28/23.41	  inference(AVATAR_split_clause,[],[f1420,f309,f303])).
22.28/23.42	tff(f4598,plain,(
22.28/23.42	  ~spl3_45 | ~spl3_47),
22.28/23.42	  inference(AVATAR_split_clause,[],[f360,f306,f300])).
22.28/23.42	tff(f4599,plain,(
22.28/23.42	  ~spl3_45 | ~spl3_47),
22.28/23.42	  inference(AVATAR_split_clause,[],[f1474,f306,f300])).
22.28/23.42	tff(f4604,plain,(
22.28/23.42	  spl3_296 <=> $less(sK2,$sum(sK1,sK2))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_296])])).
22.28/23.42	tff(f4606,plain,(
22.28/23.42	  spl3_296 | spl3_36 | ~spl3_49),
22.28/23.42	  inference(AVATAR_split_clause,[],[f2026,f313,f276,f4604])).
22.28/23.42	tff(f4607,plain,(
22.28/23.42	  spl3_56 | spl3_58 | spl3_3),
22.28/23.42	  inference(AVATAR_split_clause,[],[f1001,f41,f456,f450])).
22.28/23.42	tff(f4608,plain,(
22.28/23.42	  spl3_56 | spl3_58 | spl3_3),
22.28/23.42	  inference(AVATAR_split_clause,[],[f1000,f41,f456,f450])).
22.28/23.42	tff(f4613,plain,(
22.28/23.42	  spl3_298 <=> $less(3,$sum(1,$sum(sK1,sK2)))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_298])])).
22.28/23.42	tff(f4615,plain,(
22.28/23.42	  spl3_298 | ~spl3_24),
22.28/23.42	  inference(AVATAR_split_clause,[],[f4537,f163,f4613])).
22.28/23.42	tff(f4616,plain,(
22.28/23.42	  spl3_64 | spl3_158),
22.28/23.42	  inference(AVATAR_split_clause,[],[f2626,f2564,f504])).
22.28/23.42	tff(f4617,plain,(
22.28/23.42	  ~spl3_65 | ~spl3_159),
22.28/23.42	  inference(AVATAR_split_clause,[],[f2523,f2567,f507])).
22.28/23.42	tff(f4618,plain,(
22.28/23.42	  0 = sK1 | ~$less(sK1,1) | ~spl3_3),
22.28/23.42	  inference(subsumption_resolution,[],[f2713,f42])).
22.28/23.42	tff(f4619,plain,(
22.28/23.42	  ~spl3_121 | spl3_56 | spl3_3),
22.28/23.42	  inference(AVATAR_split_clause,[],[f4618,f41,f450,f1214])).
22.28/23.42	tff(f4626,plain,(
22.28/23.42	  ~$less(3,$sum(sK1,$sum(sK2,$uminus(4)))) | (~spl3_27 | ~spl3_104)),
22.28/23.42	  inference(backward_demodulation,[],[f1036,f189])).
22.28/23.42	tff(f4632,plain,(
22.28/23.42	  ~$less(3,$sum(sK1,$uminus(4))) | (~spl3_67 | ~spl3_104)),
22.28/23.42	  inference(backward_demodulation,[],[f1036,f515])).
22.28/23.42	tff(f4641,plain,(
22.28/23.42	  ~$less(3,$sum(1,$sum(sK1,$uminus(4)))) | (~spl3_104 | ~spl3_119)),
22.28/23.42	  inference(backward_demodulation,[],[f1036,f1207])).
22.28/23.42	tff(f4645,plain,(
22.28/23.42	  ~$less($sum(4,$uminus(sK1)),0) | (~spl3_104 | ~spl3_133)),
22.28/23.42	  inference(backward_demodulation,[],[f1036,f1327])).
22.28/23.42	tff(f4646,plain,(
22.28/23.42	  $less($sum(sK1,$uminus(4)),3) | (~spl3_104 | ~spl3_134)),
22.28/23.42	  inference(backward_demodulation,[],[f1036,f1432])).
22.28/23.42	tff(f4700,plain,(
22.28/23.42	  $less($uminus(4),sK1) | (~spl3_104 | ~spl3_178)),
22.28/23.42	  inference(backward_demodulation,[],[f1036,f3198])).
22.28/23.42	tff(f4754,plain,(
22.28/23.42	  ~$less(3,$sum(2,$sum(sK1,$uminus(4)))) | (~spl3_104 | ~spl3_273)),
22.28/23.42	  inference(backward_demodulation,[],[f1036,f4253])).
22.28/23.42	tff(f4758,plain,(
22.28/23.42	  ~$less($sum($sum(3,-2),4),sK1) | (~spl3_104 | ~spl3_273)),
22.28/23.42	  inference(evaluation,[],[f4754])).
22.28/23.42	tff(f4759,plain,(
22.28/23.42	  ~$less($sum(1,4),sK1) | (~spl3_104 | ~spl3_273)),
22.28/23.42	  inference(evaluation,[],[f4758])).
22.28/23.42	tff(f4760,plain,(
22.28/23.42	  ~$less(5,sK1) | (~spl3_104 | ~spl3_273)),
22.28/23.42	  inference(evaluation,[],[f4759])).
22.28/23.42	tff(f4778,plain,(
22.28/23.42	  $less(-4,sK1) | (~spl3_104 | ~spl3_178)),
22.28/23.42	  inference(evaluation,[],[f4700])).
22.28/23.42	tff(f4826,plain,(
22.28/23.42	  $less(sK1,$sum(3,4)) | (~spl3_104 | ~spl3_134)),
22.28/23.42	  inference(evaluation,[],[f4646])).
22.28/23.42	tff(f4827,plain,(
22.28/23.42	  $less(sK1,7) | (~spl3_104 | ~spl3_134)),
22.28/23.42	  inference(evaluation,[],[f4826])).
22.28/23.42	tff(f4828,plain,(
22.28/23.42	  ~$less($uminus(sK1),$uminus(4)) | (~spl3_104 | ~spl3_133)),
22.28/23.42	  inference(evaluation,[],[f4645])).
22.28/23.42	tff(f4829,plain,(
22.28/23.42	  ~$less($uminus(sK1),-4) | (~spl3_104 | ~spl3_133)),
22.28/23.42	  inference(evaluation,[],[f4828])).
22.28/23.42	tff(f4830,plain,(
22.28/23.42	  ~$less($sum($sum(3,-1),4),sK1) | (~spl3_104 | ~spl3_119)),
22.28/23.42	  inference(evaluation,[],[f4641])).
22.28/23.42	tff(f4831,plain,(
22.28/23.42	  ~$less($sum(2,4),sK1) | (~spl3_104 | ~spl3_119)),
22.28/23.42	  inference(evaluation,[],[f4830])).
22.28/23.42	tff(f4832,plain,(
22.28/23.42	  ~$less(6,sK1) | (~spl3_104 | ~spl3_119)),
22.28/23.42	  inference(evaluation,[],[f4831])).
22.28/23.42	tff(f4835,plain,(
22.28/23.42	  ~$less($sum(3,4),sK1) | (~spl3_67 | ~spl3_104)),
22.28/23.42	  inference(evaluation,[],[f4632])).
22.28/23.42	tff(f4836,plain,(
22.28/23.42	  ~$less(7,sK1) | (~spl3_67 | ~spl3_104)),
22.28/23.42	  inference(evaluation,[],[f4835])).
22.28/23.42	tff(f4841,plain,(
22.28/23.42	  ~$less(3,$sum(sK1,$sum(sK2,-4))) | (~spl3_27 | ~spl3_104)),
22.28/23.42	  inference(evaluation,[],[f4626])).
22.28/23.42	tff(f4844,plain,(
22.28/23.42	  ~$less(3,$sum(-4,$sum(sK1,sK2))) | (~spl3_27 | ~spl3_104)),
22.28/23.42	  inference(forward_demodulation,[],[f4841,f695])).
22.28/23.42	tff(f4849,plain,(
22.28/23.42	  spl3_301 <=> ~$less(3,$sum(-4,$sum(sK1,sK2)))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_301])])).
22.28/23.42	tff(f4851,plain,(
22.28/23.42	  ~spl3_301 | spl3_27 | ~spl3_104),
22.28/23.42	  inference(AVATAR_split_clause,[],[f4844,f1035,f188,f4849])).
22.28/23.42	tff(f4859,plain,(
22.28/23.42	  spl3_303 <=> ~$less(7,sK1)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_303])])).
22.28/23.42	tff(f4861,plain,(
22.28/23.42	  ~spl3_303 | spl3_67 | ~spl3_104),
22.28/23.42	  inference(AVATAR_split_clause,[],[f4836,f1035,f514,f4859])).
22.28/23.42	tff(f4866,plain,(
22.28/23.42	  spl3_305 <=> ~$less(6,sK1)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_305])])).
22.28/23.42	tff(f4868,plain,(
22.28/23.42	  ~spl3_305 | ~spl3_104 | spl3_119),
22.28/23.42	  inference(AVATAR_split_clause,[],[f4832,f1206,f1035,f4866])).
22.28/23.42	tff(f4873,plain,(
22.28/23.42	  spl3_307 <=> ~$less($uminus(sK1),-4)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_307])])).
22.28/23.42	tff(f4875,plain,(
22.28/23.42	  ~spl3_307 | ~spl3_104 | spl3_133),
22.28/23.42	  inference(AVATAR_split_clause,[],[f4829,f1326,f1035,f4873])).
22.28/23.42	tff(f4880,plain,(
22.28/23.42	  spl3_308 <=> $less(sK1,7)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_308])])).
22.28/23.42	tff(f4882,plain,(
22.28/23.42	  spl3_308 | ~spl3_104 | ~spl3_134),
22.28/23.42	  inference(AVATAR_split_clause,[],[f4827,f1431,f1035,f4880])).
22.28/23.42	tff(f4909,plain,(
22.28/23.42	  spl3_310 <=> $less(-4,sK1)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_310])])).
22.28/23.42	tff(f4911,plain,(
22.28/23.42	  spl3_310 | ~spl3_104 | ~spl3_178),
22.28/23.42	  inference(AVATAR_split_clause,[],[f4778,f3197,f1035,f4909])).
22.28/23.42	tff(f4924,plain,(
22.28/23.42	  spl3_313 <=> ~$less(5,sK1)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_313])])).
22.28/23.42	tff(f4926,plain,(
22.28/23.42	  ~spl3_313 | ~spl3_104 | spl3_273),
22.28/23.42	  inference(AVATAR_split_clause,[],[f4760,f4252,f1035,f4924])).
22.28/23.42	tff(f4928,plain,(
22.28/23.42	  $less(3,$sum(0,sK2)) | (~spl3_10 | ~spl3_56)),
22.28/23.42	  inference(backward_demodulation,[],[f451,f115])).
22.28/23.42	tff(f4929,plain,(
22.28/23.42	  $less(1,$sum(0,sK2)) | (~spl3_48 | ~spl3_56)),
22.28/23.42	  inference(backward_demodulation,[],[f451,f317])).
22.28/23.42	tff(f4930,plain,(
22.28/23.42	  ~$less($sum(0,sK2),2) | (~spl3_51 | ~spl3_56)),
22.28/23.42	  inference(backward_demodulation,[],[f451,f320])).
22.28/23.42	tff(f4982,plain,(
22.28/23.42	  $less(2,$sum(1,$sum(0,sK2))) | (~spl3_56 | ~spl3_230)),
22.28/23.42	  inference(backward_demodulation,[],[f451,f3971])).
22.28/23.42	tff(f4985,plain,(
22.28/23.42	  $less(2,$sum(2,$sum(0,sK2))) | (~spl3_56 | ~spl3_248)),
22.28/23.42	  inference(backward_demodulation,[],[f451,f4045])).
22.28/23.42	tff(f5020,plain,(
22.28/23.42	  $less($sum(2,-2),sK2) | (~spl3_56 | ~spl3_248)),
22.28/23.42	  inference(evaluation,[],[f4985])).
22.28/23.42	tff(f5021,plain,(
22.28/23.42	  $less(0,sK2) | (~spl3_56 | ~spl3_248)),
22.28/23.42	  inference(evaluation,[],[f5020])).
22.28/23.42	tff(f5024,plain,(
22.28/23.42	  $less($sum(2,-1),sK2) | (~spl3_56 | ~spl3_230)),
22.28/23.42	  inference(evaluation,[],[f4982])).
22.28/23.42	tff(f5025,plain,(
22.28/23.42	  $less(1,sK2) | (~spl3_56 | ~spl3_230)),
22.28/23.42	  inference(evaluation,[],[f5024])).
22.28/23.42	tff(f5095,plain,(
22.28/23.42	  ~$less(sK2,2) | (~spl3_51 | ~spl3_56)),
22.28/23.42	  inference(evaluation,[],[f4930])).
22.28/23.42	tff(f5096,plain,(
22.28/23.42	  $less(1,sK2) | (~spl3_48 | ~spl3_56)),
22.28/23.42	  inference(evaluation,[],[f4929])).
22.28/23.42	tff(f5097,plain,(
22.28/23.42	  $less(3,sK2) | (~spl3_10 | ~spl3_56)),
22.28/23.42	  inference(evaluation,[],[f4928])).
22.28/23.42	tff(f5098,plain,(
22.28/23.42	  spl3_32 | ~spl3_10 | ~spl3_56),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5097,f450,f114,f263])).
22.28/23.42	tff(f5099,plain,(
22.28/23.42	  spl3_40 | ~spl3_48 | ~spl3_56),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5096,f450,f316,f289])).
22.28/23.42	tff(f5100,plain,(
22.28/23.42	  ~spl3_43 | spl3_51 | ~spl3_56),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5095,f450,f319,f292])).
22.28/23.42	tff(f5106,plain,(
22.28/23.42	  spl3_40 | ~spl3_56 | ~spl3_230),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5025,f3970,f450,f289])).
22.28/23.42	tff(f5107,plain,(
22.28/23.42	  spl3_36 | ~spl3_56 | ~spl3_248),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5021,f4044,f450,f276])).
22.28/23.42	tff(f5110,plain,(
22.28/23.42	  ~$less(sK0,0) | (~spl3_9 | ~spl3_56)),
22.28/23.42	  inference(forward_demodulation,[],[f59,f451])).
22.28/23.42	tff(f5116,plain,(
22.28/23.42	  ~spl3_15 | spl3_9 | ~spl3_56),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5110,f450,f58,f131])).
22.28/23.42	tff(f5117,plain,(
22.28/23.42	  ~$less(3,$sum(2,$sum(0,$uminus(sK0)))) | (~spl3_56 | ~spl3_273)),
22.28/23.42	  inference(forward_demodulation,[],[f4253,f451])).
22.28/23.42	tff(f5118,plain,(
22.28/23.42	  ~$less($sum(3,-2),$uminus(sK0)) | (~spl3_56 | ~spl3_273)),
22.28/23.42	  inference(evaluation,[],[f5117])).
22.28/23.42	tff(f5119,plain,(
22.28/23.42	  ~$less(1,$uminus(sK0)) | (~spl3_56 | ~spl3_273)),
22.28/23.42	  inference(evaluation,[],[f5118])).
22.28/23.42	tff(f5124,plain,(
22.28/23.42	  spl3_315 <=> ~$less(1,$uminus(sK0))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_315])])).
22.28/23.42	tff(f5126,plain,(
22.28/23.42	  ~spl3_315 | ~spl3_56 | spl3_273),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5119,f4252,f450,f5124])).
22.28/23.42	tff(f5127,plain,(
22.28/23.42	  $less($sum(2,$uminus(sK0)),0) | (~spl3_56 | ~spl3_184)),
22.28/23.42	  inference(forward_demodulation,[],[f3300,f451])).
22.28/23.42	tff(f5128,plain,(
22.28/23.42	  $less($uminus(sK0),$uminus(2)) | (~spl3_56 | ~spl3_184)),
22.28/23.42	  inference(evaluation,[],[f5127])).
22.28/23.42	tff(f5129,plain,(
22.28/23.42	  $less($uminus(sK0),-2) | (~spl3_56 | ~spl3_184)),
22.28/23.42	  inference(evaluation,[],[f5128])).
22.28/23.42	tff(f5134,plain,(
22.28/23.42	  spl3_316 <=> $less($uminus(sK0),-2)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_316])])).
22.28/23.42	tff(f5136,plain,(
22.28/23.42	  spl3_316 | ~spl3_56 | ~spl3_184),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5129,f3299,f450,f5134])).
22.28/23.42	tff(f5145,plain,(
22.28/23.42	  $less($uminus(sK0),0) | (~spl3_56 | ~spl3_178)),
22.28/23.42	  inference(forward_demodulation,[],[f3198,f451])).
22.28/23.42	tff(f5146,plain,(
22.28/23.42	  spl3_112 | ~spl3_56 | ~spl3_178),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5145,f3197,f450,f1097])).
22.28/23.42	tff(f5147,plain,(
22.28/23.42	  $less($sum(0,$uminus(sK0)),3) | (~spl3_56 | ~spl3_134)),
22.28/23.42	  inference(forward_demodulation,[],[f1432,f451])).
22.28/23.42	tff(f5148,plain,(
22.28/23.42	  $less($uminus(sK0),3) | (~spl3_56 | ~spl3_134)),
22.28/23.42	  inference(evaluation,[],[f5147])).
22.28/23.42	tff(f5153,plain,(
22.28/23.42	  spl3_318 <=> $less($uminus(sK0),3)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_318])])).
22.28/23.42	tff(f5155,plain,(
22.28/23.42	  spl3_318 | ~spl3_56 | ~spl3_134),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5148,f1431,f450,f5153])).
22.28/23.42	tff(f5156,plain,(
22.28/23.42	  ~$less($sum(sK0,$uminus(0)),0) | (~spl3_56 | ~spl3_133)),
22.28/23.42	  inference(forward_demodulation,[],[f1327,f451])).
22.28/23.42	tff(f5157,plain,(
22.28/23.42	  ~$less(sK0,$uminus(0)) | (~spl3_56 | ~spl3_133)),
22.28/23.42	  inference(evaluation,[],[f5156])).
22.28/23.42	tff(f5158,plain,(
22.28/23.42	  ~$less(sK0,0) | (~spl3_56 | ~spl3_133)),
22.28/23.42	  inference(evaluation,[],[f5157])).
22.28/23.42	tff(f5159,plain,(
22.28/23.42	  ~spl3_15 | ~spl3_56 | spl3_133),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5158,f1326,f450,f131])).
22.28/23.42	tff(f5160,plain,(
22.28/23.42	  ~$less(3,$sum(1,$sum(0,$uminus(sK0)))) | (~spl3_56 | ~spl3_119)),
22.28/23.42	  inference(forward_demodulation,[],[f1207,f451])).
22.28/23.42	tff(f5161,plain,(
22.28/23.42	  ~$less($sum(3,-1),$uminus(sK0)) | (~spl3_56 | ~spl3_119)),
22.28/23.42	  inference(evaluation,[],[f5160])).
22.28/23.42	tff(f5162,plain,(
22.28/23.42	  ~$less(2,$uminus(sK0)) | (~spl3_56 | ~spl3_119)),
22.28/23.42	  inference(evaluation,[],[f5161])).
22.28/23.42	tff(f5167,plain,(
22.28/23.42	  spl3_321 <=> ~$less(2,$uminus(sK0))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_321])])).
22.28/23.42	tff(f5169,plain,(
22.28/23.42	  ~spl3_321 | ~spl3_56 | spl3_119),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5162,f1206,f450,f5167])).
22.28/23.42	tff(f5170,plain,(
22.28/23.42	  ~$less(3,$sum(0,$uminus(sK0))) | (~spl3_56 | ~spl3_67)),
22.28/23.42	  inference(forward_demodulation,[],[f515,f451])).
22.28/23.42	tff(f5171,plain,(
22.28/23.42	  ~$less(3,$uminus(sK0)) | (~spl3_56 | ~spl3_67)),
22.28/23.42	  inference(evaluation,[],[f5170])).
22.28/23.42	tff(f5176,plain,(
22.28/23.42	  spl3_323 <=> ~$less(3,$uminus(sK0))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_323])])).
22.28/23.42	tff(f5178,plain,(
22.28/23.42	  ~spl3_323 | ~spl3_56 | spl3_67),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5171,f514,f450,f5176])).
22.28/23.42	tff(f5179,plain,(
22.28/23.42	  ( ! [X6:$int] : (~$less(3,$sum(0,$sum(sK2,X6))) | $less(4,$sum(sK0,X6)) | $sum(sK0,X6) = 4) ) | ~spl3_56),
22.28/23.42	  inference(forward_demodulation,[],[f416,f451])).
22.28/23.42	tff(f5180,plain,(
22.28/23.42	  ( ! [X6:$int] : (~$less(3,$sum(sK2,X6)) | $less(4,$sum(sK0,X6)) | $sum(sK0,X6) = 4) ) | ~spl3_56),
22.28/23.42	  inference(evaluation,[],[f5179])).
22.28/23.42	tff(f5183,plain,(
22.28/23.42	  ~$less(3,$sum(0,$sum(sK2,$uminus(sK0)))) | (~spl3_27 | ~spl3_56)),
22.28/23.42	  inference(forward_demodulation,[],[f189,f451])).
22.28/23.42	tff(f5184,plain,(
22.28/23.42	  ~$less(3,$sum(sK2,$uminus(sK0))) | (~spl3_27 | ~spl3_56)),
22.28/23.42	  inference(evaluation,[],[f5183])).
22.28/23.42	tff(f5189,plain,(
22.28/23.42	  spl3_325 <=> ~$less(3,$sum(sK2,$uminus(sK0)))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_325])])).
22.28/23.42	tff(f5191,plain,(
22.28/23.42	  ~spl3_325 | spl3_27 | ~spl3_56),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5184,f450,f188,f5189])).
22.28/23.42	tff(f5208,plain,(
22.28/23.42	  ( ! [X2:$int] : ($less($sum(sK0,X2),$sum(sK2,X2))) ) | ~spl3_6),
22.28/23.42	  inference(resolution,[],[f56,f13])).
22.28/23.42	tff(f5209,plain,(
22.28/23.42	  ( ! [X3:$int] : (~$less(X3,sK0) | $less(X3,sK2)) ) | ~spl3_6),
22.28/23.42	  inference(resolution,[],[f56,f11])).
22.28/23.42	tff(f5369,plain,(
22.28/23.42	  ~$less(sK2,$sum(sK0,1)) | ~spl3_6),
22.28/23.42	  inference(resolution,[],[f5208,f16])).
22.28/23.42	tff(f5377,plain,(
22.28/23.42	  ( ! [X2:$int] : ($less(X2,$sum(sK2,$sum($uminus(sK0),X2)))) ) | ~spl3_6),
22.28/23.42	  inference(superposition,[],[f5208,f742])).
22.28/23.42	tff(f5381,plain,(
22.28/23.42	  $less(0,$sum(sK2,$uminus(sK0))) | ~spl3_6),
22.28/23.42	  inference(superposition,[],[f5208,f9])).
22.28/23.42	tff(f5384,plain,(
22.28/23.42	  ( ! [X2:$int] : ($less($sum(sK0,$sum($uminus(sK2),X2)),X2)) ) | ~spl3_6),
22.28/23.42	  inference(superposition,[],[f5208,f742])).
22.28/23.42	tff(f5388,plain,(
22.28/23.42	  $less($sum(sK0,$uminus(sK2)),0) | ~spl3_6),
22.28/23.42	  inference(superposition,[],[f5208,f9])).
22.28/23.42	tff(f5400,plain,(
22.28/23.42	  ~$less(sK2,$sum(1,sK0)) | ~spl3_6),
22.28/23.42	  inference(forward_demodulation,[],[f5369,f5])).
22.28/23.42	tff(f5405,plain,(
22.28/23.42	  spl3_327 <=> ~$less(sK2,$sum(1,sK0))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_327])])).
22.28/23.42	tff(f5407,plain,(
22.28/23.42	  ~spl3_327 | ~spl3_6),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5400,f55,f5405])).
22.28/23.42	tff(f5415,plain,(
22.28/23.42	  spl3_328 <=> $less(0,$sum(sK2,$uminus(sK0)))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_328])])).
22.28/23.42	tff(f5417,plain,(
22.28/23.42	  spl3_328 | ~spl3_6),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5381,f55,f5415])).
22.28/23.42	tff(f5422,plain,(
22.28/23.42	  spl3_330 <=> $less($sum(sK0,$uminus(sK2)),0)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_330])])).
22.28/23.42	tff(f5423,plain,(
22.28/23.42	  $less($sum(sK0,$uminus(sK2)),0) | ~spl3_330),
22.28/23.42	  inference(AVATAR_component_clause,[],[f5422])).
22.28/23.42	tff(f5424,plain,(
22.28/23.42	  spl3_330 | ~spl3_6),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5388,f55,f5422])).
22.28/23.42	tff(f5548,plain,(
22.28/23.42	  $sum($sum(1,sK2),$sum(-1,$uminus(sK2))) = 0 | ~spl3_96),
22.28/23.42	  inference(superposition,[],[f9,f968])).
22.28/23.42	tff(f5549,plain,(
22.28/23.42	  $sum(1,sK2) = $uminus($sum(-1,$uminus(sK2))) | ~spl3_96),
22.28/23.42	  inference(superposition,[],[f15,f968])).
22.28/23.42	tff(f5550,plain,(
22.28/23.42	  $sum($sum(-1,$uminus(sK2)),$sum(1,sK2)) = 0 | ~spl3_96),
22.28/23.42	  inference(superposition,[],[f169,f968])).
22.28/23.42	tff(f5565,plain,(
22.28/23.42	  spl3_332 <=> $sum($sum(1,sK2),$sum(-1,$uminus(sK2))) = 0),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_332])])).
22.28/23.42	tff(f5567,plain,(
22.28/23.42	  spl3_332 | ~spl3_96),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5548,f967,f5565])).
22.28/23.42	tff(f5572,plain,(
22.28/23.42	  spl3_334 <=> $sum(1,sK2) = $uminus($sum(-1,$uminus(sK2)))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_334])])).
22.28/23.42	tff(f5574,plain,(
22.28/23.42	  spl3_334 | ~spl3_96),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5549,f967,f5572])).
22.28/23.42	tff(f5579,plain,(
22.28/23.42	  spl3_336 <=> $sum($sum(-1,$uminus(sK2)),$sum(1,sK2)) = 0),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_336])])).
22.28/23.42	tff(f5581,plain,(
22.28/23.42	  spl3_336 | ~spl3_96),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5550,f967,f5579])).
22.28/23.42	tff(f5599,plain,(
22.28/23.42	  $sum($sum(3,sK2),$sum(-3,$uminus(sK2))) = 0 | ~spl3_98),
22.28/23.42	  inference(superposition,[],[f9,f978])).
22.28/23.42	tff(f5600,plain,(
22.28/23.42	  $sum(3,sK2) = $uminus($sum(-3,$uminus(sK2))) | ~spl3_98),
22.28/23.42	  inference(superposition,[],[f15,f978])).
22.28/23.42	tff(f5601,plain,(
22.28/23.42	  $sum($sum(-3,$uminus(sK2)),$sum(3,sK2)) = 0 | ~spl3_98),
22.28/23.42	  inference(superposition,[],[f169,f978])).
22.28/23.42	tff(f5616,plain,(
22.28/23.42	  spl3_338 <=> $sum($sum(3,sK2),$sum(-3,$uminus(sK2))) = 0),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_338])])).
22.28/23.42	tff(f5618,plain,(
22.28/23.42	  spl3_338 | ~spl3_98),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5599,f977,f5616])).
22.28/23.42	tff(f5623,plain,(
22.28/23.42	  spl3_340 <=> $sum(3,sK2) = $uminus($sum(-3,$uminus(sK2)))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_340])])).
22.28/23.42	tff(f5625,plain,(
22.28/23.42	  spl3_340 | ~spl3_98),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5600,f977,f5623])).
22.28/23.42	tff(f5630,plain,(
22.28/23.42	  spl3_342 <=> $sum($sum(-3,$uminus(sK2)),$sum(3,sK2)) = 0),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_342])])).
22.28/23.42	tff(f5632,plain,(
22.28/23.42	  spl3_342 | ~spl3_98),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5601,f977,f5630])).
22.28/23.42	tff(f5650,plain,(
22.28/23.42	  $sum($sum(4,sK2),$sum(-4,$uminus(sK2))) = 0 | ~spl3_100),
22.28/23.42	  inference(superposition,[],[f9,f986])).
22.28/23.42	tff(f5651,plain,(
22.28/23.42	  $sum(4,sK2) = $uminus($sum(-4,$uminus(sK2))) | ~spl3_100),
22.28/23.42	  inference(superposition,[],[f15,f986])).
22.28/23.42	tff(f5652,plain,(
22.28/23.42	  $sum($sum(-4,$uminus(sK2)),$sum(4,sK2)) = 0 | ~spl3_100),
22.28/23.42	  inference(superposition,[],[f169,f986])).
22.28/23.42	tff(f5667,plain,(
22.28/23.42	  spl3_344 <=> $sum($sum(4,sK2),$sum(-4,$uminus(sK2))) = 0),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_344])])).
22.28/23.42	tff(f5669,plain,(
22.28/23.42	  spl3_344 | ~spl3_100),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5650,f985,f5667])).
22.28/23.42	tff(f5674,plain,(
22.28/23.42	  spl3_346 <=> $sum(4,sK2) = $uminus($sum(-4,$uminus(sK2)))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_346])])).
22.28/23.42	tff(f5676,plain,(
22.28/23.42	  spl3_346 | ~spl3_100),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5651,f985,f5674])).
22.28/23.42	tff(f5681,plain,(
22.28/23.42	  spl3_348 <=> $sum($sum(-4,$uminus(sK2)),$sum(4,sK2)) = 0),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_348])])).
22.28/23.42	tff(f5683,plain,(
22.28/23.42	  spl3_348 | ~spl3_100),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5652,f985,f5681])).
22.28/23.42	tff(f5738,plain,(
22.28/23.42	  $less(-3,sK2) | (~spl3_6 | ~spl3_200)),
22.28/23.42	  inference(resolution,[],[f3767,f5209])).
22.28/23.42	tff(f5749,plain,(
22.28/23.42	  spl3_350 <=> $less(-3,sK2)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_350])])).
22.28/23.42	tff(f5751,plain,(
22.28/23.42	  spl3_350 | ~spl3_6 | ~spl3_200),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5738,f3766,f55,f5749])).
22.28/23.42	tff(f5918,plain,(
22.28/23.42	  $less($sum(sK0,$uminus(sK2)),sK0) | (~spl3_0 | ~spl3_330)),
22.28/23.42	  inference(resolution,[],[f5423,f382])).
22.28/23.42	tff(f5928,plain,(
22.28/23.42	  spl3_352 <=> $less($sum(sK0,$uminus(sK2)),sK0)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_352])])).
22.28/23.42	tff(f5930,plain,(
22.28/23.42	  spl3_352 | ~spl3_0 | ~spl3_330),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5918,f5422,f34,f5928])).
22.28/23.42	tff(f5932,plain,(
22.28/23.42	  $less(-2,sK2) | (~spl3_6 | ~spl3_202)),
22.28/23.42	  inference(resolution,[],[f3774,f5209])).
22.28/23.42	tff(f5943,plain,(
22.28/23.42	  spl3_354 <=> $less(-2,sK2)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_354])])).
22.28/23.42	tff(f5945,plain,(
22.28/23.42	  spl3_354 | ~spl3_6 | ~spl3_202),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5932,f3773,f55,f5943])).
22.28/23.42	tff(f5967,plain,(
22.28/23.42	  $less(6,sK2) | sK2 = 6 | ~spl3_247),
22.28/23.42	  inference(resolution,[],[f4029,f12])).
22.28/23.42	tff(f5968,plain,(
22.28/23.42	  $less(6,sK2) | sK2 = 6 | ~spl3_247),
22.28/23.42	  inference(resolution,[],[f4029,f12])).
22.28/23.42	tff(f5973,plain,(
22.28/23.42	  spl3_356 <=> sK2 = 6),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_356])])).
22.28/23.42	tff(f5979,plain,(
22.28/23.42	  spl3_358 <=> $less(6,sK2)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_358])])).
22.28/23.42	tff(f5981,plain,(
22.28/23.42	  spl3_356 | spl3_358 | spl3_247),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5967,f4028,f5979,f5973])).
22.28/23.42	tff(f5982,plain,(
22.28/23.42	  spl3_356 | spl3_358 | spl3_247),
22.28/23.42	  inference(AVATAR_split_clause,[],[f5968,f4028,f5979,f5973])).
22.28/23.42	tff(f6215,plain,(
22.28/23.42	  ~$less($sum(sK2,$uminus(sK0)),1) | ~spl3_6),
22.28/23.42	  inference(resolution,[],[f5377,f700])).
22.28/23.42	tff(f6216,plain,(
22.28/23.42	  $less(4,$sum(sK0,$sum($uminus(sK0),3))) | $sum(sK0,$sum($uminus(sK0),3)) = 4 | (~spl3_6 | ~spl3_56)),
22.28/23.42	  inference(resolution,[],[f5377,f5180])).
22.28/23.42	tff(f6248,plain,(
22.28/23.42	  spl3_361 <=> ~$less($sum(sK2,$uminus(sK0)),1)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_361])])).
22.28/23.42	tff(f6250,plain,(
22.28/23.42	  ~spl3_361 | ~spl3_6),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6215,f55,f6248])).
22.28/23.42	tff(f6251,plain,(
22.28/23.42	  $less(4,3) | $sum(sK0,$sum($uminus(sK0),3)) = 4 | (~spl3_6 | ~spl3_56)),
22.28/23.42	  inference(forward_demodulation,[],[f6216,f742])).
22.28/23.42	tff(f6252,plain,(
22.28/23.42	  $sum(sK0,$sum($uminus(sK0),3)) = 4 | (~spl3_6 | ~spl3_56)),
22.28/23.42	  inference(evaluation,[],[f6251])).
22.28/23.42	tff(f6253,plain,(
22.28/23.42	  3 = 4 | (~spl3_6 | ~spl3_56)),
22.28/23.42	  inference(forward_demodulation,[],[f6252,f742])).
22.28/23.42	tff(f6254,plain,(
22.28/23.42	  $false | (~spl3_6 | ~spl3_56)),
22.28/23.42	  inference(evaluation,[],[f6253])).
22.28/23.42	tff(f6255,plain,(
22.28/23.42	  ~spl3_6 | ~spl3_56),
22.28/23.42	  inference(AVATAR_contradiction_clause,[],[f6254,f450,f55])).
22.28/23.42	tff(f6290,plain,(
22.28/23.42	  1 = sK1 | (~spl3_45 | ~spl3_121)),
22.28/23.42	  inference(subsumption_resolution,[],[f1285,f301])).
22.28/23.42	tff(f6295,plain,(
22.28/23.42	  spl3_362 <=> 1 = sK1),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_362])])).
22.28/23.42	tff(f6296,plain,(
22.28/23.42	  1 = sK1 | ~spl3_362),
22.28/23.42	  inference(AVATAR_component_clause,[],[f6295])).
22.28/23.42	tff(f6297,plain,(
22.28/23.42	  spl3_362 | spl3_45 | spl3_121),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6290,f1214,f300,f6295])).
22.28/23.42	tff(f6298,plain,(
22.28/23.42	  1 = sK1 | (~spl3_45 | ~spl3_121)),
22.28/23.42	  inference(subsumption_resolution,[],[f1284,f301])).
22.28/23.42	tff(f6299,plain,(
22.28/23.42	  spl3_362 | spl3_45 | spl3_121),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6298,f1214,f300,f6295])).
22.28/23.42	tff(f6300,plain,(
22.28/23.42	  ( ! [X3:$int] : (~$less($sum(sK0,X3),4) | ~$less(3,$sum(1,$sum(sK2,X3)))) ) | ~spl3_362),
22.28/23.42	  inference(backward_demodulation,[],[f6296,f29])).
22.28/23.42	tff(f6304,plain,(
22.28/23.42	  ~$less(3,$sum(1,$sum(sK2,$uminus(sK0)))) | (~spl3_27 | ~spl3_362)),
22.28/23.42	  inference(backward_demodulation,[],[f6296,f189])).
22.28/23.42	tff(f6323,plain,(
22.28/23.42	  $less($sum(1,$uminus(sK0)),3) | (~spl3_134 | ~spl3_362)),
22.28/23.42	  inference(backward_demodulation,[],[f6296,f1432])).
22.28/23.42	tff(f6370,plain,(
22.28/23.42	  $less($uminus(sK0),1) | (~spl3_178 | ~spl3_362)),
22.28/23.42	  inference(backward_demodulation,[],[f6296,f3198])).
22.28/23.42	tff(f6375,plain,(
22.28/23.42	  $less($sum(2,$uminus(sK0)),1) | (~spl3_184 | ~spl3_362)),
22.28/23.42	  inference(backward_demodulation,[],[f6296,f3300])).
22.28/23.42	tff(f6389,plain,(
22.28/23.42	  $sum(-2,$sum(1,sK2)) = $sum(-1,$sum(-1,$sum(1,sK2))) | (~spl3_206 | ~spl3_362)),
22.28/23.42	  inference(backward_demodulation,[],[f6296,f3876])).
22.28/23.42	tff(f6390,plain,(
22.28/23.42	  $sum(-1,$uminus(1)) = $sum($sum(-1,$uminus($sum(1,sK2))),sK2) | (~spl3_216 | ~spl3_362)),
22.28/23.42	  inference(backward_demodulation,[],[f6296,f3917])).
22.28/23.42	tff(f6398,plain,(
22.28/23.42	  ~$less(3,$sum(2,$sum(1,$uminus(sK0)))) | (~spl3_273 | ~spl3_362)),
22.28/23.42	  inference(backward_demodulation,[],[f6296,f4253])).
22.28/23.42	tff(f6421,plain,(
22.28/23.42	  ~$less($sum($sum(3,-2),-1),$uminus(sK0)) | (~spl3_273 | ~spl3_362)),
22.28/23.42	  inference(evaluation,[],[f6398])).
22.28/23.42	tff(f6422,plain,(
22.28/23.42	  ~$less($sum(1,-1),$uminus(sK0)) | (~spl3_273 | ~spl3_362)),
22.28/23.42	  inference(evaluation,[],[f6421])).
22.28/23.42	tff(f6423,plain,(
22.28/23.42	  ~$less(0,$uminus(sK0)) | (~spl3_273 | ~spl3_362)),
22.28/23.42	  inference(evaluation,[],[f6422])).
22.28/23.42	tff(f6436,plain,(
22.28/23.42	  $sum(-1,-1) = $sum($sum(-1,$uminus($sum(1,sK2))),sK2) | (~spl3_216 | ~spl3_362)),
22.28/23.42	  inference(evaluation,[],[f6390])).
22.28/23.42	tff(f6437,plain,(
22.28/23.42	  $sum($sum(-1,$uminus($sum(1,sK2))),sK2) = -2 | (~spl3_216 | ~spl3_362)),
22.28/23.42	  inference(evaluation,[],[f6436])).
22.28/23.42	tff(f6438,plain,(
22.28/23.42	  $less($uminus(sK0),$sum(1,-2)) | (~spl3_184 | ~spl3_362)),
22.28/23.42	  inference(evaluation,[],[f6375])).
22.28/23.42	tff(f6439,plain,(
22.28/23.42	  $less($uminus(sK0),-1) | (~spl3_184 | ~spl3_362)),
22.28/23.42	  inference(evaluation,[],[f6438])).
22.28/23.42	tff(f6493,plain,(
22.28/23.42	  $less($uminus(sK0),$sum(3,-1)) | (~spl3_134 | ~spl3_362)),
22.28/23.42	  inference(evaluation,[],[f6323])).
22.28/23.42	tff(f6494,plain,(
22.28/23.42	  $less($uminus(sK0),2) | (~spl3_134 | ~spl3_362)),
22.28/23.42	  inference(evaluation,[],[f6493])).
22.28/23.42	tff(f6516,plain,(
22.28/23.42	  spl3_365 <=> ~$less(3,$sum(1,$sum(sK2,$uminus(sK0))))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_365])])).
22.28/23.42	tff(f6517,plain,(
22.28/23.42	  ~$less(3,$sum(1,$sum(sK2,$uminus(sK0)))) | ~spl3_365),
22.28/23.42	  inference(AVATAR_component_clause,[],[f6516])).
22.28/23.42	tff(f6518,plain,(
22.28/23.42	  ~spl3_365 | spl3_27 | ~spl3_362),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6304,f6295,f188,f6516])).
22.28/23.42	tff(f6523,plain,(
22.28/23.42	  spl3_366 <=> $less($uminus(sK0),2)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_366])])).
22.28/23.42	tff(f6525,plain,(
22.28/23.42	  spl3_366 | ~spl3_134 | ~spl3_362),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6494,f6295,f1431,f6523])).
22.28/23.42	tff(f6539,plain,(
22.28/23.42	  spl3_368 <=> $less($uminus(sK0),1)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_368])])).
22.28/23.42	tff(f6541,plain,(
22.28/23.42	  spl3_368 | ~spl3_178 | ~spl3_362),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6370,f6295,f3197,f6539])).
22.28/23.42	tff(f6546,plain,(
22.28/23.42	  spl3_370 <=> $less($uminus(sK0),-1)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_370])])).
22.28/23.42	tff(f6548,plain,(
22.28/23.42	  spl3_370 | ~spl3_184 | ~spl3_362),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6439,f6295,f3299,f6546])).
22.28/23.42	tff(f6550,plain,(
22.28/23.42	  $sum(-2,$sum(1,sK2)) = $sum(-1,$sum(1,$sum(sK2,-1))) | (~spl3_206 | ~spl3_362)),
22.28/23.42	  inference(forward_demodulation,[],[f6389,f695])).
22.28/23.42	tff(f6551,plain,(
22.28/23.42	  $sum(-2,$sum(1,sK2)) = $sum(-1,$sum(1,$sum(-1,sK2))) | (~spl3_206 | ~spl3_362)),
22.28/23.42	  inference(forward_demodulation,[],[f6550,f5])).
22.28/23.42	tff(f6552,plain,(
22.28/23.42	  $sum(-1,sK2) = $sum(-2,$sum(1,sK2)) | (~spl3_206 | ~spl3_264 | ~spl3_362)),
22.28/23.42	  inference(forward_demodulation,[],[f6551,f4141])).
22.28/23.42	tff(f6557,plain,(
22.28/23.42	  spl3_372 <=> $sum(-1,sK2) = $sum(-2,$sum(1,sK2))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_372])])).
22.28/23.42	tff(f6559,plain,(
22.28/23.42	  spl3_372 | ~spl3_206 | ~spl3_264 | ~spl3_362),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6552,f6295,f4140,f3875,f6557])).
22.28/23.42	tff(f6560,plain,(
22.28/23.42	  $sum($sum(-1,$sum(-1,$uminus(sK2))),sK2) = -2 | (~spl3_96 | ~spl3_216 | ~spl3_362)),
22.28/23.42	  inference(forward_demodulation,[],[f6437,f968])).
22.28/23.42	tff(f6565,plain,(
22.28/23.42	  spl3_374 <=> $sum($sum(-1,$sum(-1,$uminus(sK2))),sK2) = -2),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_374])])).
22.28/23.42	tff(f6567,plain,(
22.28/23.42	  spl3_374 | ~spl3_96 | ~spl3_216 | ~spl3_362),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6560,f6295,f3916,f967,f6565])).
22.28/23.42	tff(f6578,plain,(
22.28/23.42	  spl3_377 <=> ~$less(0,$uminus(sK0))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_377])])).
22.28/23.42	tff(f6580,plain,(
22.28/23.42	  ~spl3_377 | spl3_273 | ~spl3_362),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6423,f6295,f4252,f6578])).
22.28/23.42	tff(f6618,plain,(
22.28/23.42	  $less($sum(sK2,$uminus(sK0)),3) | ~spl3_365),
22.28/23.42	  inference(resolution,[],[f6517,f219])).
22.28/23.42	tff(f6625,plain,(
22.28/23.42	  spl3_378 <=> $less($sum(sK2,$uminus(sK0)),3)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_378])])).
22.28/23.42	tff(f6627,plain,(
22.28/23.42	  spl3_378 | spl3_365),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6618,f6516,f6625])).
22.28/23.42	tff(f6807,plain,(
22.28/23.42	  $less($uminus(sK0),sK2) | (~spl3_6 | ~spl3_174)),
22.28/23.42	  inference(resolution,[],[f3106,f5209])).
22.28/23.42	tff(f6816,plain,(
22.28/23.42	  spl3_380 <=> $less($uminus(sK0),sK2)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_380])])).
22.28/23.42	tff(f6818,plain,(
22.28/23.42	  spl3_380 | ~spl3_6 | ~spl3_174),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6807,f3105,f55,f6816])).
22.28/23.42	tff(f6826,plain,(
22.28/23.42	  ~$less(3,$sum(1,$sum(sK2,$sum($uminus(sK2),4)))) | (~spl3_6 | ~spl3_362)),
22.28/23.42	  inference(resolution,[],[f5384,f6300])).
22.28/23.42	tff(f6828,plain,(
22.28/23.42	  $less($sum(sK0,$sum($uminus(sK2),sK0)),sK2) | ~spl3_6),
22.28/23.42	  inference(resolution,[],[f5384,f5209])).
22.28/23.42	tff(f6862,plain,(
22.28/23.42	  ~$less(3,$sum(1,4)) | (~spl3_6 | ~spl3_362)),
22.28/23.42	  inference(forward_demodulation,[],[f6826,f742])).
22.28/23.42	tff(f6863,plain,(
22.28/23.42	  $false | (~spl3_6 | ~spl3_362)),
22.28/23.42	  inference(evaluation,[],[f6862])).
22.28/23.42	tff(f6864,plain,(
22.28/23.42	  ~spl3_6 | ~spl3_362),
22.28/23.42	  inference(AVATAR_contradiction_clause,[],[f6863,f6295,f55])).
22.28/23.42	tff(f6865,plain,(
22.28/23.42	  $less($sum(sK0,$sum(sK0,$uminus(sK2))),sK2) | ~spl3_6),
22.28/23.42	  inference(forward_demodulation,[],[f6828,f695])).
22.28/23.42	tff(f6873,plain,(
22.28/23.42	  spl3_362 | spl3_44 | spl3_121),
22.28/23.42	  inference(AVATAR_split_clause,[],[f1284,f1214,f303,f6295])).
22.28/23.42	tff(f6874,plain,(
22.28/23.42	  spl3_362 | spl3_44 | spl3_121),
22.28/23.42	  inference(AVATAR_split_clause,[],[f1285,f1214,f303,f6295])).
22.28/23.42	tff(f6875,plain,(
22.28/23.42	  ( ! [X3:$int] : (~$less($sum(sK0,X3),4) | ~$less(3,$sum(2,$sum(sK2,X3)))) ) | ~spl3_78),
22.28/23.42	  inference(backward_demodulation,[],[f811,f29])).
22.28/23.42	tff(f6879,plain,(
22.28/23.42	  ~$less(3,$sum(2,$sum(sK2,$uminus(sK0)))) | (~spl3_27 | ~spl3_78)),
22.28/23.42	  inference(backward_demodulation,[],[f811,f189])).
22.28/23.42	tff(f6891,plain,(
22.28/23.42	  $sum(-1,$uminus($sum(2,sK2))) = $uminus($sum(1,$sum(2,sK2))) | (~spl3_78 | ~spl3_94)),
22.28/23.42	  inference(backward_demodulation,[],[f811,f960])).
22.28/23.42	tff(f6906,plain,(
22.28/23.42	  ( ! [X2:$int] : ($sum(-1,$uminus($sum(X2,2))) = $uminus($sum(X2,$sum(1,2)))) ) | (~spl3_68 | ~spl3_78)),
22.28/23.42	  inference(backward_demodulation,[],[f811,f1751])).
22.28/23.42	tff(f6909,plain,(
22.28/23.42	  ( ! [X2:$int] : ($sum(-1,$uminus($sum(X2,2))) = $uminus($sum(1,$sum(2,X2)))) ) | (~spl3_68 | ~spl3_78)),
22.28/23.42	  inference(backward_demodulation,[],[f811,f1931])).
22.28/23.42	tff(f6962,plain,(
22.28/23.42	  $sum(-2,$sum(2,sK2)) = $sum(-1,$sum(-1,$sum(2,sK2))) | (~spl3_78 | ~spl3_206)),
22.28/23.42	  inference(backward_demodulation,[],[f811,f3876])).
22.28/23.42	tff(f6963,plain,(
22.28/23.42	  $sum(-1,$uminus(2)) = $sum($sum(-1,$uminus($sum(2,sK2))),sK2) | (~spl3_78 | ~spl3_216)),
22.28/23.42	  inference(backward_demodulation,[],[f811,f3917])).
22.28/23.42	tff(f6964,plain,(
22.28/23.42	  $sum($sum(-1,$uminus(2)),sK2) = $sum(-1,$sum(sK2,$uminus(2))) | (~spl3_78 | ~spl3_218)),
22.28/23.42	  inference(backward_demodulation,[],[f811,f3926])).
22.28/23.42	tff(f6969,plain,(
22.28/23.42	  $sum(1,$uminus($sum(2,sK2))) = $uminus($sum(-1,$sum(2,sK2))) | (~spl3_78 | ~spl3_254)),
22.28/23.42	  inference(backward_demodulation,[],[f811,f4096])).
22.28/23.42	tff(f6970,plain,(
22.28/23.42	  $sum(2,sK2) = $sum(1,$sum(-1,$sum(2,sK2))) | (~spl3_78 | ~spl3_262)),
22.28/23.42	  inference(backward_demodulation,[],[f811,f4134])).
22.28/23.42	tff(f7007,plain,(
22.28/23.42	  $sum($sum(-1,-2),sK2) = $sum(-1,$sum(sK2,-2)) | (~spl3_78 | ~spl3_218)),
22.28/23.42	  inference(evaluation,[],[f6964])).
22.28/23.42	tff(f7008,plain,(
22.28/23.42	  $sum(-3,sK2) = $sum(-1,$sum(sK2,-2)) | (~spl3_78 | ~spl3_218)),
22.28/23.42	  inference(evaluation,[],[f7007])).
22.28/23.42	tff(f7009,plain,(
22.28/23.42	  $sum(-1,-2) = $sum($sum(-1,$uminus($sum(2,sK2))),sK2) | (~spl3_78 | ~spl3_216)),
22.28/23.42	  inference(evaluation,[],[f6963])).
22.28/23.42	tff(f7010,plain,(
22.28/23.42	  $sum($sum(-1,$uminus($sum(2,sK2))),sK2) = -3 | (~spl3_78 | ~spl3_216)),
22.28/23.42	  inference(evaluation,[],[f7009])).
22.28/23.42	tff(f7053,plain,(
22.28/23.42	  ( ! [X2:$int] : ($sum(-1,$uminus($sum(X2,2))) = $uminus($sum(X2,3))) ) | (~spl3_68 | ~spl3_78)),
22.28/23.42	  inference(evaluation,[],[f6906])).
22.28/23.42	tff(f7089,plain,(
22.28/23.42	  spl3_383 <=> ~$less(3,$sum(2,$sum(sK2,$uminus(sK0))))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_383])])).
22.28/23.42	tff(f7091,plain,(
22.28/23.42	  ~spl3_383 | spl3_27 | ~spl3_78),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6879,f810,f188,f7089])).
22.28/23.42	tff(f7096,plain,(
22.28/23.42	  spl3_384 <=> $sum(-1,$uminus($sum(2,sK2))) = $uminus($sum(1,$sum(2,sK2)))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_384])])).
22.28/23.42	tff(f7097,plain,(
22.28/23.42	  $sum(-1,$uminus($sum(2,sK2))) = $uminus($sum(1,$sum(2,sK2))) | ~spl3_384),
22.28/23.42	  inference(AVATAR_component_clause,[],[f7096])).
22.28/23.42	tff(f7098,plain,(
22.28/23.42	  spl3_384 | ~spl3_78 | ~spl3_94),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6891,f959,f810,f7096])).
22.28/23.42	tff(f7104,plain,(
22.28/23.42	  ( ! [X2:$int] : ($uminus($sum(X2,3)) = $uminus($sum(1,$sum(2,X2)))) ) | (~spl3_68 | ~spl3_78)),
22.28/23.42	  inference(forward_demodulation,[],[f6909,f7053])).
22.28/23.42	tff(f7112,plain,(
22.28/23.42	  $sum(2,$sum(sK2,-2)) = $sum(-1,$sum(-1,$sum(2,sK2))) | (~spl3_78 | ~spl3_206)),
22.28/23.42	  inference(forward_demodulation,[],[f6962,f695])).
22.28/23.42	tff(f7113,plain,(
22.28/23.42	  $sum(2,$sum(-2,sK2)) = $sum(-1,$sum(-1,$sum(2,sK2))) | (~spl3_78 | ~spl3_206)),
22.28/23.42	  inference(forward_demodulation,[],[f7112,f5])).
22.28/23.42	tff(f7118,plain,(
22.28/23.42	  spl3_386 <=> $sum(2,$sum(-2,sK2)) = $sum(-1,$sum(-1,$sum(2,sK2)))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_386])])).
22.28/23.42	tff(f7120,plain,(
22.28/23.42	  spl3_386 | ~spl3_78 | ~spl3_206),
22.28/23.42	  inference(AVATAR_split_clause,[],[f7113,f3875,f810,f7118])).
22.28/23.42	tff(f7125,plain,(
22.28/23.42	  spl3_388 <=> $sum($sum(-1,$uminus($sum(2,sK2))),sK2) = -3),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_388])])).
22.28/23.42	tff(f7127,plain,(
22.28/23.42	  spl3_388 | ~spl3_78 | ~spl3_216),
22.28/23.42	  inference(AVATAR_split_clause,[],[f7010,f3916,f810,f7125])).
22.28/23.42	tff(f7128,plain,(
22.28/23.42	  $sum(-3,sK2) = $sum(-1,$sum(-2,sK2)) | (~spl3_78 | ~spl3_218)),
22.28/23.42	  inference(forward_demodulation,[],[f7008,f5])).
22.28/23.42	tff(f7133,plain,(
22.28/23.42	  spl3_390 <=> $sum(-3,sK2) = $sum(-1,$sum(-2,sK2))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_390])])).
22.28/23.42	tff(f7135,plain,(
22.28/23.42	  spl3_390 | ~spl3_78 | ~spl3_218),
22.28/23.42	  inference(AVATAR_split_clause,[],[f7128,f3925,f810,f7133])).
22.28/23.42	tff(f7140,plain,(
22.28/23.42	  spl3_392 <=> $sum(1,$uminus($sum(2,sK2))) = $uminus($sum(-1,$sum(2,sK2)))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_392])])).
22.28/23.42	tff(f7142,plain,(
22.28/23.42	  spl3_392 | ~spl3_78 | ~spl3_254),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6969,f4095,f810,f7140])).
22.28/23.42	tff(f7147,plain,(
22.28/23.42	  spl3_394 <=> $sum(2,sK2) = $sum(1,$sum(-1,$sum(2,sK2)))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_394])])).
22.28/23.42	tff(f7149,plain,(
22.28/23.42	  spl3_394 | ~spl3_78 | ~spl3_262),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6970,f4133,f810,f7147])).
22.28/23.42	tff(f7164,plain,(
22.28/23.42	  spl3_396 <=> $less($sum(sK0,$sum(sK0,$uminus(sK2))),sK2)),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_396])])).
22.28/23.42	tff(f7166,plain,(
22.28/23.42	  spl3_396 | ~spl3_6),
22.28/23.42	  inference(AVATAR_split_clause,[],[f6865,f55,f7164])).
22.28/23.42	tff(f7167,plain,(
22.28/23.42	  $sum(-1,$uminus($sum(2,sK2))) = $uminus($sum(sK2,3)) | (~spl3_68 | ~spl3_78 | ~spl3_384)),
22.28/23.42	  inference(forward_demodulation,[],[f7097,f7104])).
22.28/23.42	tff(f7168,plain,(
22.28/23.42	  $sum(-1,$uminus($sum(2,sK2))) = $uminus($sum(3,sK2)) | (~spl3_68 | ~spl3_78 | ~spl3_384)),
22.28/23.42	  inference(forward_demodulation,[],[f7167,f1887])).
22.28/23.42	tff(f7169,plain,(
22.28/23.42	  $sum(-3,$uminus(sK2)) = $sum(-1,$uminus($sum(2,sK2))) | (~spl3_68 | ~spl3_78 | ~spl3_98 | ~spl3_384)),
22.28/23.42	  inference(forward_demodulation,[],[f7168,f978])).
22.28/23.42	tff(f7174,plain,(
22.28/23.42	  spl3_398 <=> $sum(-3,$uminus(sK2)) = $sum(-1,$uminus($sum(2,sK2)))),
22.28/23.42	  introduced(AVATAR_definition,[new_symbols(naming,[spl3_398])])).
22.28/23.42	tff(f7176,plain,(
22.28/23.42	  spl3_398 | ~spl3_68 | ~spl3_78 | ~spl3_98 | ~spl3_384),
22.28/23.42	  inference(AVATAR_split_clause,[],[f7169,f7096,f977,f810,f594,f7174])).
22.28/23.42	tff(f7178,plain,(
22.28/23.42	  ~$less(3,$sum(2,$sum(sK2,$sum($uminus(sK2),4)))) | (~spl3_6 | ~spl3_78)),
22.28/23.42	  inference(resolution,[],[f6875,f5384])).
22.28/23.42	tff(f7214,plain,(
22.28/23.42	  ~$less(3,$sum(2,4)) | (~spl3_6 | ~spl3_78)),
22.28/23.42	  inference(forward_demodulation,[],[f7178,f742])).
22.28/23.42	tff(f7215,plain,(
22.28/23.42	  $false | (~spl3_6 | ~spl3_78)),
22.28/23.42	  inference(evaluation,[],[f7214])).
22.28/23.42	tff(f7216,plain,(
22.28/23.42	  ~spl3_6 | ~spl3_78),
22.28/23.42	  inference(AVATAR_contradiction_clause,[],[f7215,f810,f55])).
22.28/23.42	tff(f7217,plain,(
22.28/23.42	  $false),
22.28/23.42	  inference(AVATAR_sat_refutation,[],[f36,f43,f50,f63,f125,f139,f153,f154,f168,f190,f258,f271,f284,f297,f298,f311,f324,f337,f367,f369,f371,f373,f375,f377,f379,f381,f458,f466,f467,f469,f502,f509,f516,f596,f600,f608,f618,f620,f652,f760,f763,f812,f814,f896,f898,f899,f900,f901,f902,f903,f910,f917,f918,f925,f932,f939,f946,f953,f961,f969,f971,f979,f987,f988,f989,f996,f1043,f1044,f1063,f1064,f1099,f1131,f1154,f1156,f1208,f1216,f1230,f1280,f1281,f1315,f1324,f1331,f1433,f1568,f1578,f1585,f1638,f1646,f1653,f1667,f1675,f1682,f1773,f1785,f2569,f2669,f2670,f3033,f3047,f3060,f3075,f3086,f3093,f3107,f3143,f3199,f3238,f3245,f3301,f3372,f3373,f3417,f3418,f3528,f3656,f3706,f3717,f3760,f3768,f3775,f3810,f3863,f3867,f3868,f3869,f3870,f3877,f3884,f3885,f3892,f3899,f3908,f3918,f3927,f3935,f3937,f3945,f3953,f3972,f3973,f3974,f3975,f3977,f3990,f3997,f4010,f4017,f4018,f4019,f4020,f4033,f4034,f4035,f4036,f4037,f4038,f4039,f4046,f4054,f4055,f4056,f4058,f4060,f4062,f4064,f4065,f4066,f4067,f4068,f4069,f4070,f4071,f4072,f4079,f4080,f4081,f4083,f4085,f4087,f4089,f4097,f4105,f4107,f4115,f4123,f4124,f4125,f4126,f4127,f4128,f4135,f4142,f4143,f4150,f4157,f4158,f4159,f4160,f4161,f4162,f4163,f4164,f4165,f4166,f4167,f4174,f4254,f4264,f4272,f4280,f4302,f4311,f4319,f4336,f4376,f4409,f4410,f4412,f4414,f4416,f4424,f4432,f4440,f4584,f4586,f4587,f4588,f4589,f4596,f4597,f4598,f4599,f4606,f4607,f4608,f4615,f4616,f4617,f4619,f4851,f4861,f4868,f4875,f4882,f4911,f4926,f5098,f5099,f5100,f5106,f5107,f5116,f5126,f5136,f5146,f5155,f5159,f5169,f5178,f5191,f5407,f5417,f5424,f5567,f5574,f5581,f5618,f5625,f5632,f5669,f5676,f5683,f5751,f5930,f5945,f5981,f5982,f6250,f6255,f6297,f6299,f6518,f6525,f6541,f6548,f6559,f6567,f6580,f6627,f6818,f6864,f6873,f6874,f7091,f7098,f7120,f7127,f7135,f7142,f7149,f7166,f7176,f7216])).
22.28/23.42	% SZS output end Proof for theBenchmark
22.28/23.42	% ------------------------------
22.28/23.42	% Version: Vampire 4.1 for CASC J8 Entry
22.28/23.42	% Termination reason: Refutation
22.28/23.42	
22.28/23.42	% Memory used [KB]: 4349
22.28/23.42	% Time elapsed: 0.186 s
22.28/23.42	% ------------------------------
22.28/23.42	% ------------------------------
22.28/23.42	% Success in time 22.292 s
22.28/23.42	EOF