0.00/0.04	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : vampire --mode casc -m 90000 -t %d %s
0.02/0.23	% Computer   : n146.star.cs.uiowa.edu
0.02/0.23	% Model      : x86_64 x86_64
0.02/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/0.23	% Memory     : 32218.625MB
0.02/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/0.23	% CPULimit   : 300
0.02/0.23	% DateTime   : Sat Jul 14 04:49:55 CDT 2018
0.02/0.23	% CPUTime    : 
0.02/0.24	Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem!
0.02/0.24	% remaining time: 3000 next slice time: 3
0.06/0.27	dis+1002_4_gs=on:inst=on:nm=64:nwc=1.3:sas=z3:sac=on:sfr=on:smm=off:ssnc=none:sp=occurrence:tha=off:thf=on:updr=off_1 on theBenchmark
0.06/0.32	% Refutation not found, SMT solver inside AVATAR returned Unknown% ------------------------------
0.06/0.32	% Version: Vampire 4.1 for CASC J8 Entry
0.06/0.32	% Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
0.06/0.32	
0.06/0.32	% Memory used [KB]: 1279
0.06/0.32	% Time elapsed: 0.052 s
0.06/0.32	% ------------------------------
0.06/0.32	% ------------------------------
0.06/0.32	% remaining time: 2999 next slice time: 3
0.06/0.32	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
0.45/0.72	% (48065)Time limit reached!
0.45/0.72	% ------------------------------
0.45/0.72	% Version: Vampire 4.1 for CASC J8 Entry
0.45/0.72	% Termination reason: Time limit
0.45/0.72	% Termination phase: Saturation
0.45/0.72	
0.45/0.72	% Memory used [KB]: 3965
0.45/0.72	% Time elapsed: 0.400 s
0.45/0.72	% ------------------------------
0.45/0.72	% ------------------------------
0.45/0.72	% remaining time: 2995 next slice time: 5
0.45/0.72	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
0.53/0.74	% Refutation not found, incomplete strategy
0.53/0.74	% ------------------------------
0.53/0.74	% Version: Vampire 4.1 for CASC J8 Entry
0.53/0.74	% Termination reason: Refutation not found, incomplete strategy
0.53/0.74	
0.53/0.74	% Memory used [KB]: 511
0.53/0.74	% Time elapsed: 0.013 s
0.53/0.74	% ------------------------------
0.53/0.74	% ------------------------------
0.53/0.74	% remaining time: 2995 next slice time: 9
0.53/0.74	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
0.53/0.75	% Refutation not found, incomplete strategy
0.53/0.75	% ------------------------------
0.53/0.75	% Version: Vampire 4.1 for CASC J8 Entry
0.53/0.75	% Termination reason: Refutation not found, incomplete strategy
0.53/0.75	
0.53/0.75	% Memory used [KB]: 639
0.53/0.75	% Time elapsed: 0.013 s
0.53/0.75	% ------------------------------
0.53/0.75	% ------------------------------
0.53/0.75	% remaining time: 2994 next slice time: 10
0.53/0.76	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
0.53/0.77	% Refutation not found, incomplete strategy
0.53/0.77	% ------------------------------
0.53/0.77	% Version: Vampire 4.1 for CASC J8 Entry
0.53/0.77	% Termination reason: Refutation not found, incomplete strategy
0.53/0.77	
0.53/0.77	% Memory used [KB]: 639
0.53/0.77	% Time elapsed: 0.013 s
0.53/0.77	% ------------------------------
0.53/0.77	% ------------------------------
0.53/0.77	% remaining time: 2994 next slice time: 40
0.53/0.77	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
4.66/4.87	% (48069)Time limit reached!
4.66/4.87	% ------------------------------
4.66/4.87	% Version: Vampire 4.1 for CASC J8 Entry
4.66/4.87	% Termination reason: Time limit
4.66/4.87	% Termination phase: Saturation
4.66/4.87	
4.66/4.87	% Memory used [KB]: 93004
4.66/4.87	% Time elapsed: 4.100 s
4.66/4.87	% ------------------------------
4.66/4.87	% ------------------------------
4.66/4.88	% remaining time: 2953 next slice time: 10
4.66/4.88	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
5.77/5.98	% (48070)Time limit reached!
5.77/5.98	% ------------------------------
5.77/5.98	% Version: Vampire 4.1 for CASC J8 Entry
5.77/5.98	% Termination reason: Time limit
5.77/5.98	% Termination phase: Saturation
5.77/5.98	
5.77/5.98	% Memory used [KB]: 13304
5.77/5.98	% Time elapsed: 1.100 s
5.77/5.98	% ------------------------------
5.77/5.98	% ------------------------------
5.77/5.99	% remaining time: 2942 next slice time: 162
5.77/5.99	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
22.18/22.29	% (48079)Time limit reached!
22.18/22.29	% ------------------------------
22.18/22.29	% Version: Vampire 4.1 for CASC J8 Entry
22.18/22.29	% Termination reason: Time limit
22.18/22.29	% Termination phase: Saturation
22.18/22.29	
22.18/22.29	% Memory used [KB]: 325325
22.18/22.29	% Time elapsed: 16.300 s
22.18/22.29	% ------------------------------
22.18/22.29	% ------------------------------
22.18/22.32	% remaining time: 2779 next slice time: 6
22.18/22.33	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
22.18/22.34	% Refutation not found, incomplete strategy
22.18/22.34	% ------------------------------
22.18/22.34	% Version: Vampire 4.1 for CASC J8 Entry
22.18/22.34	% Termination reason: Refutation not found, incomplete strategy
22.18/22.34	
22.18/22.34	% Memory used [KB]: 767
22.18/22.34	% Time elapsed: 0.015 s
22.18/22.34	% ------------------------------
22.18/22.34	% ------------------------------
22.18/22.34	% remaining time: 2779 next slice time: 6
22.18/22.34	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
22.18/22.36	% Refutation not found, incomplete strategy
22.18/22.36	% ------------------------------
22.18/22.36	% Version: Vampire 4.1 for CASC J8 Entry
22.18/22.36	% Termination reason: Refutation not found, incomplete strategy
22.18/22.36	
22.18/22.36	% Memory used [KB]: 767
22.18/22.36	% Time elapsed: 0.013 s
22.18/22.36	% ------------------------------
22.18/22.36	% ------------------------------
22.18/22.36	% remaining time: 2778 next slice time: 11
22.18/22.36	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
22.18/22.36	% Refutation not found, incomplete strategy
22.18/22.36	% ------------------------------
22.18/22.36	% Version: Vampire 4.1 for CASC J8 Entry
22.18/22.36	% Termination reason: Refutation not found, incomplete strategy
22.18/22.36	
22.18/22.36	% Memory used [KB]: 767
22.18/22.36	% Time elapsed: 0.002 s
22.18/22.36	% ------------------------------
22.18/22.36	% ------------------------------
22.18/22.36	% remaining time: 2778 next slice time: 6
22.18/22.36	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
22.33/22.51	% Refutation found. Thanks to Tanya!
22.33/22.51	% SZS status Theorem for theBenchmark
22.33/22.51	% SZS output start Proof for theBenchmark
22.33/22.51	tff(func_def_0, type, a: $real).
22.33/22.51	tff(func_def_1, type, b: $real).
22.33/22.51	tff(func_def_2, type, c: $real).
22.33/22.51	tff(func_def_3, type, d: $real).
22.33/22.51	tff(func_def_4, type, f: $real > $real).
22.33/22.51	tff(f1,axiom,(
22.33/22.51	  ! [X0 : $real,X1 : $real] : f($sum(X0,X1)) = $product(f(X0),f(X1))),
22.33/22.51	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_feature)).
22.33/22.51	tff(f2,axiom,(
22.33/22.51	  $greater(f($sum(c,d)),2.0)),
22.33/22.51	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis_01)).
22.33/22.51	tff(f3,conjecture,(
22.33/22.51	  $greater(f($sum(a,$sum(b,$sum(c,d)))),4.0)),
22.33/22.51	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion)).
22.33/22.51	tff(f4,negated_conjecture,(
22.33/22.51	  ~$greater(f($sum(a,$sum(b,$sum(c,d)))),4.0)),
22.33/22.51	  inference(negated_conjecture,[],[f3])).
22.33/22.51	tff(f5,axiom,(
22.33/22.51	  $greater(f($sum(a,b)),2.0)),
22.33/22.51	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis)).
22.33/22.51	tff(f6,plain,(
22.33/22.51	  ~$less(4.0,f($sum(a,$sum(b,$sum(c,d)))))),
22.33/22.51	  inference(evaluation,[],[f4])).
22.33/22.51	tff(f7,plain,(
22.33/22.51	  $less(2.0,f($sum(a,b)))),
22.33/22.51	  inference(evaluation,[],[f5])).
22.33/22.51	tff(f8,plain,(
22.33/22.51	  $less(2.0,f($sum(c,d)))),
22.33/22.51	  inference(evaluation,[],[f2])).
22.33/22.51	tff(f9,plain,(
22.33/22.51	  ( ! [X0:$real,X1:$real] : ($sum(X0,X1) = $sum(X1,X0)) )),
22.33/22.51	  introduced(theory_axiom,[])).
22.33/22.51	tff(f10,plain,(
22.33/22.51	  ( ! [X2:$real,X0:$real,X1:$real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
22.33/22.51	  introduced(theory_axiom,[])).
22.33/22.51	tff(f11,plain,(
22.33/22.51	  ( ! [X0:$real] : ($sum(X0,0.0) = X0) )),
22.33/22.51	  introduced(theory_axiom,[])).
22.33/22.51	tff(f12,plain,(
22.33/22.51	  ( ! [X0:$real,X1:$real] : ($sum($uminus(X1),$uminus(X0)) = $uminus($sum(X0,X1))) )),
22.33/22.51	  introduced(theory_axiom,[])).
22.33/22.51	tff(f13,plain,(
22.33/22.51	  ( ! [X0:$real] : ($sum(X0,$uminus(X0)) = 0.0) )),
22.33/22.51	  introduced(theory_axiom,[])).
22.33/22.51	tff(f14,plain,(
22.33/22.51	  ( ! [X0:$real] : (~$less(X0,X0)) )),
22.33/22.51	  introduced(theory_axiom,[])).
22.33/22.51	tff(f15,plain,(
22.33/22.51	  ( ! [X2:$real,X0:$real,X1:$real] : ($less(X0,X2) | ~$less(X1,X2) | ~$less(X0,X1)) )),
22.33/22.51	  introduced(theory_axiom,[])).
22.33/22.51	tff(f17,plain,(
22.33/22.51	  ( ! [X2:$real,X0:$real,X1:$real] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )),
22.33/22.51	  introduced(theory_axiom,[])).
22.33/22.51	tff(f18,plain,(
22.33/22.51	  ( ! [X0:$real,X1:$real] : ($less(X1,$sum(X0,1.0)) | $less(X0,X1)) )),
22.33/22.51	  introduced(theory_axiom,[])).
22.33/22.51	tff(f19,plain,(
22.33/22.51	  ( ! [X0:$real] : ($uminus($uminus(X0)) = X0) )),
22.33/22.51	  introduced(theory_axiom,[])).
22.33/22.51	tff(f20,plain,(
22.33/22.51	  ( ! [X0:$real,X1:$real] : ($product(X0,X1) = $product(X1,X0)) )),
22.33/22.51	  introduced(theory_axiom,[])).
22.33/22.51	tff(f21,plain,(
22.33/22.51	  ( ! [X2:$real,X0:$real,X1:$real] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
22.33/22.51	  introduced(theory_axiom,[])).
22.33/22.51	tff(f22,plain,(
22.33/22.51	  ( ! [X0:$real] : ($product(X0,1.0) = X0) )),
22.33/22.51	  introduced(theory_axiom,[])).
22.33/22.51	tff(f23,plain,(
22.33/22.51	  ( ! [X0:$real] : ($product(X0,0.0) = 0.0) )),
22.33/22.51	  introduced(theory_axiom,[])).
22.33/22.51	tff(f24,plain,(
22.33/22.51	  ( ! [X2:$real,X0:$real,X1:$real] : ($sum($product(X0,X1),$product(X0,X2)) = $product(X0,$sum(X1,X2))) )),
22.33/22.51	  introduced(theory_axiom,[])).
22.33/22.51	tff(f25,plain,(
22.33/22.51	  ( ! [X2:$real,X0:$real,X3:$real,X1:$real] : ($product(X0,X3) != X1 | $product(X0,X2) != X1 | 0.0 = X0 | X2 = X3) )),
22.33/22.51	  introduced(theory_axiom,[])).
22.33/22.51	tff(f26,plain,(
22.33/22.51	  ~$less(4.0,f($sum(a,$sum(b,$sum(c,d)))))),
22.33/22.51	  inference(flattening,[],[f6])).
22.33/22.51	tff(f27,plain,(
22.33/22.51	  ~$less(4.0,f($sum(a,$sum(b,$sum(c,d)))))),
22.33/22.51	  inference(cnf_transformation,[],[f26])).
22.33/22.51	tff(f28,plain,(
22.33/22.51	  $less(2.0,f($sum(a,b)))),
22.33/22.51	  inference(cnf_transformation,[],[f7])).
22.33/22.51	tff(f29,plain,(
22.33/22.51	  $less(2.0,f($sum(c,d)))),
22.33/22.51	  inference(cnf_transformation,[],[f8])).
22.33/22.51	tff(f30,plain,(
22.33/22.51	  ( ! [X0:$real,X1:$real] : (f($sum(X0,X1)) = $product(f(X0),f(X1))) )),
22.33/22.51	  inference(cnf_transformation,[],[f1])).
22.33/22.51	tff(f35,plain,(
22.33/22.51	  spl0_1 <=> ~$less(4.0,f($sum(a,$sum(b,$sum(c,d)))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_1])])).
22.33/22.51	tff(f36,plain,(
22.33/22.51	  ~$less(4.0,f($sum(a,$sum(b,$sum(c,d))))) | ~spl0_1),
22.33/22.51	  inference(AVATAR_component_clause,[],[f35])).
22.33/22.51	tff(f37,plain,(
22.33/22.51	  ~spl0_1),
22.33/22.51	  inference(AVATAR_split_clause,[],[f27,f35])).
22.33/22.51	tff(f42,plain,(
22.33/22.51	  spl0_2 <=> $less(2.0,f($sum(a,b)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_2])])).
22.33/22.51	tff(f43,plain,(
22.33/22.51	  $less(2.0,f($sum(a,b))) | ~spl0_2),
22.33/22.51	  inference(AVATAR_component_clause,[],[f42])).
22.33/22.51	tff(f44,plain,(
22.33/22.51	  spl0_2),
22.33/22.51	  inference(AVATAR_split_clause,[],[f28,f42])).
22.33/22.51	tff(f49,plain,(
22.33/22.51	  spl0_4 <=> $less(2.0,f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_4])])).
22.33/22.51	tff(f50,plain,(
22.33/22.51	  $less(2.0,f($sum(c,d))) | ~spl0_4),
22.33/22.51	  inference(AVATAR_component_clause,[],[f49])).
22.33/22.51	tff(f51,plain,(
22.33/22.51	  spl0_4),
22.33/22.51	  inference(AVATAR_split_clause,[],[f29,f49])).
22.33/22.51	tff(f131,plain,(
22.33/22.51	  ( ! [X0:$real] : ($sum($uminus(X0),X0) = 0.0) )),
22.33/22.51	  inference(superposition,[],[f13,f19])).
22.33/22.51	tff(f151,plain,(
22.33/22.51	  ( ! [X0:$real] : ($sum(0.0,X0) = X0) )),
22.33/22.51	  inference(superposition,[],[f9,f11])).
22.33/22.51	tff(f207,plain,(
22.33/22.51	  ( ! [X1:$real] : ($product(0.0,X1) = 0.0) )),
22.33/22.51	  inference(superposition,[],[f20,f23])).
22.33/22.51	tff(f244,plain,(
22.33/22.51	  ( ! [X0:$real] : ($less(X0,$sum(X0,1.0))) )),
22.33/22.51	  inference(resolution,[],[f18,f14])).
22.33/22.51	tff(f245,plain,(
22.33/22.51	  ( ! [X0:$real,X1:$real] : ($less(X1,$sum(1.0,X0)) | $less(X0,X1)) )),
22.33/22.51	  inference(superposition,[],[f18,f9])).
22.33/22.51	tff(f261,plain,(
22.33/22.51	  $less(f($sum(c,d)),$sum(4.0,1.0)) | $less(4.0,f($sum(c,d)))),
22.33/22.51	  inference(Instantiation,[],[f18])).
22.33/22.51	tff(f262,plain,(
22.33/22.51	  $less(f($sum(c,d)),$sum(1.0,1.0)) | $less(1.0,f($sum(c,d)))),
22.33/22.51	  inference(Instantiation,[],[f18])).
22.33/22.51	tff(f291,plain,(
22.33/22.51	  $less(f($sum(c,d)),2.0) | $less(1.0,f($sum(c,d)))),
22.33/22.51	  inference(evaluation,[],[f262])).
22.33/22.51	tff(f292,plain,(
22.33/22.51	  $less(f($sum(c,d)),5.0) | $less(4.0,f($sum(c,d)))),
22.33/22.51	  inference(evaluation,[],[f261])).
22.33/22.51	tff(f298,plain,(
22.33/22.51	  spl0_6 <=> $less(4.0,f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_6])])).
22.33/22.51	tff(f299,plain,(
22.33/22.51	  $less(4.0,f($sum(c,d))) | ~spl0_6),
22.33/22.51	  inference(AVATAR_component_clause,[],[f298])).
22.33/22.51	tff(f304,plain,(
22.33/22.51	  spl0_8 <=> $less(f($sum(c,d)),5.0)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_8])])).
22.33/22.51	tff(f305,plain,(
22.33/22.51	  $less(f($sum(c,d)),5.0) | ~spl0_8),
22.33/22.51	  inference(AVATAR_component_clause,[],[f304])).
22.33/22.51	tff(f306,plain,(
22.33/22.51	  spl0_6 | spl0_8),
22.33/22.51	  inference(AVATAR_split_clause,[],[f292,f304,f298])).
22.33/22.51	tff(f311,plain,(
22.33/22.51	  spl0_10 <=> $less(1.0,f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_10])])).
22.33/22.51	tff(f312,plain,(
22.33/22.51	  $less(1.0,f($sum(c,d))) | ~spl0_10),
22.33/22.51	  inference(AVATAR_component_clause,[],[f311])).
22.33/22.51	tff(f314,plain,(
22.33/22.51	  spl0_13 <=> ~$less(f($sum(c,d)),2.0)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_13])])).
22.33/22.51	tff(f315,plain,(
22.33/22.51	  ~$less(f($sum(c,d)),2.0) | ~spl0_13),
22.33/22.51	  inference(AVATAR_component_clause,[],[f314])).
22.33/22.51	tff(f317,plain,(
22.33/22.51	  spl0_12 <=> $less(f($sum(c,d)),2.0)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_12])])).
22.33/22.51	tff(f319,plain,(
22.33/22.51	  spl0_10 | spl0_12),
22.33/22.51	  inference(AVATAR_split_clause,[],[f291,f317,f311])).
22.33/22.51	tff(f320,plain,(
22.33/22.51	  ( ! [X0:$real,X1:$real] : (~$less(X1,X0) | ~$less(X0,X1)) )),
22.33/22.51	  inference(resolution,[],[f15,f14])).
22.33/22.51	tff(f321,plain,(
22.33/22.51	  ( ! [X2:$real] : (~$less(4.0,X2) | ~$less(X2,f($sum(a,$sum(b,$sum(c,d)))))) ) | ~spl0_1),
22.33/22.51	  inference(resolution,[],[f15,f36])).
22.33/22.51	tff(f340,plain,(
22.33/22.51	  $less(0.0,f($sum(c,d))) | ~$less(2.0,f($sum(c,d))) | ~$less(0.0,2.0)),
22.33/22.51	  inference(Instantiation,[],[f15])).
22.33/22.51	tff(f349,plain,(
22.33/22.51	  $less(0.0,f($sum(c,d))) | ~$less(4.0,f($sum(c,d))) | ~$less(0.0,4.0)),
22.33/22.51	  inference(Instantiation,[],[f15])).
22.33/22.51	tff(f350,plain,(
22.33/22.51	  $less(0.0,f($sum(c,d))) | ~$less(1.0,f($sum(c,d))) | ~$less(0.0,1.0)),
22.33/22.51	  inference(Instantiation,[],[f15])).
22.33/22.51	tff(f368,plain,(
22.33/22.51	  $less(0.0,f($sum(c,d))) | ~$less(1.0,f($sum(c,d)))),
22.33/22.51	  inference(evaluation,[],[f350])).
22.33/22.51	tff(f369,plain,(
22.33/22.51	  $less(0.0,f($sum(c,d))) | ~$less(4.0,f($sum(c,d)))),
22.33/22.51	  inference(evaluation,[],[f349])).
22.33/22.51	tff(f370,plain,(
22.33/22.51	  $less(0.0,f($sum(c,d))) | ~$less(2.0,f($sum(c,d)))),
22.33/22.51	  inference(evaluation,[],[f340])).
22.33/22.51	tff(f372,plain,(
22.33/22.51	  $less(0.0,f($sum(c,d))) | ~spl0_4),
22.33/22.51	  inference(subsumption_resolution,[],[f370,f50])).
22.33/22.51	tff(f377,plain,(
22.33/22.51	  spl0_14 <=> $less(0.0,f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_14])])).
22.33/22.51	tff(f378,plain,(
22.33/22.51	  $less(0.0,f($sum(c,d))) | ~spl0_14),
22.33/22.51	  inference(AVATAR_component_clause,[],[f377])).
22.33/22.51	tff(f379,plain,(
22.33/22.51	  spl0_14 | ~spl0_4),
22.33/22.51	  inference(AVATAR_split_clause,[],[f372,f49,f377])).
22.33/22.51	tff(f380,plain,(
22.33/22.51	  $less(0.0,f($sum(c,d))) | ~spl0_6),
22.33/22.51	  inference(subsumption_resolution,[],[f369,f299])).
22.33/22.51	tff(f381,plain,(
22.33/22.51	  spl0_14 | ~spl0_6),
22.33/22.51	  inference(AVATAR_split_clause,[],[f380,f298,f377])).
22.33/22.51	tff(f382,plain,(
22.33/22.51	  $less(0.0,f($sum(c,d))) | ~spl0_10),
22.33/22.51	  inference(subsumption_resolution,[],[f368,f312])).
22.33/22.51	tff(f383,plain,(
22.33/22.51	  spl0_14 | ~spl0_10),
22.33/22.51	  inference(AVATAR_split_clause,[],[f382,f311,f377])).
22.33/22.51	tff(f421,plain,(
22.33/22.51	  ( ! [X0:$real,X1:$real] : ($sum(X0,$uminus(X1)) = $uminus($sum(X1,$uminus(X0)))) )),
22.33/22.51	  inference(superposition,[],[f12,f19])).
22.33/22.51	tff(f424,plain,(
22.33/22.51	  ( ! [X4:$real,X3:$real] : ($sum($uminus(X4),$uminus(X3)) = $uminus($sum(X4,X3))) )),
22.33/22.51	  inference(superposition,[],[f12,f9])).
22.33/22.51	tff(f432,plain,(
22.33/22.51	  $sum($uminus(f($sum(c,d))),$uminus(2.0)) = $uminus($sum(2.0,f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f12])).
22.33/22.51	tff(f441,plain,(
22.33/22.51	  $sum($uminus(f($sum(c,d))),$uminus(4.0)) = $uminus($sum(4.0,f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f12])).
22.33/22.51	tff(f442,plain,(
22.33/22.51	  $sum($uminus(f($sum(c,d))),$uminus(1.0)) = $uminus($sum(1.0,f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f12])).
22.33/22.51	tff(f475,plain,(
22.33/22.51	  $sum($uminus(f($sum(c,d))),-1.0) = $uminus($sum(1.0,f($sum(c,d))))),
22.33/22.51	  inference(evaluation,[],[f442])).
22.33/22.51	tff(f476,plain,(
22.33/22.51	  $sum($uminus(f($sum(c,d))),-4.0) = $uminus($sum(4.0,f($sum(c,d))))),
22.33/22.51	  inference(evaluation,[],[f441])).
22.33/22.51	tff(f477,plain,(
22.33/22.51	  $sum($uminus(f($sum(c,d))),-2.0) = $uminus($sum(2.0,f($sum(c,d))))),
22.33/22.51	  inference(evaluation,[],[f432])).
22.33/22.51	tff(f482,plain,(
22.33/22.51	  $sum(-2.0,$uminus(f($sum(c,d)))) = $uminus($sum(2.0,f($sum(c,d))))),
22.33/22.51	  inference(forward_demodulation,[],[f477,f9])).
22.33/22.51	tff(f487,plain,(
22.33/22.51	  spl0_16 <=> $sum(-2.0,$uminus(f($sum(c,d)))) = $uminus($sum(2.0,f($sum(c,d))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_16])])).
22.33/22.51	tff(f488,plain,(
22.33/22.51	  $sum(-2.0,$uminus(f($sum(c,d)))) = $uminus($sum(2.0,f($sum(c,d)))) | ~spl0_16),
22.33/22.51	  inference(AVATAR_component_clause,[],[f487])).
22.33/22.51	tff(f489,plain,(
22.33/22.51	  spl0_16),
22.33/22.51	  inference(AVATAR_split_clause,[],[f482,f487])).
22.33/22.51	tff(f490,plain,(
22.33/22.51	  $sum(-4.0,$uminus(f($sum(c,d)))) = $uminus($sum(4.0,f($sum(c,d))))),
22.33/22.51	  inference(forward_demodulation,[],[f476,f9])).
22.33/22.51	tff(f495,plain,(
22.33/22.51	  spl0_18 <=> $sum(-4.0,$uminus(f($sum(c,d)))) = $uminus($sum(4.0,f($sum(c,d))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_18])])).
22.33/22.51	tff(f496,plain,(
22.33/22.51	  $sum(-4.0,$uminus(f($sum(c,d)))) = $uminus($sum(4.0,f($sum(c,d)))) | ~spl0_18),
22.33/22.51	  inference(AVATAR_component_clause,[],[f495])).
22.33/22.51	tff(f497,plain,(
22.33/22.51	  spl0_18),
22.33/22.51	  inference(AVATAR_split_clause,[],[f490,f495])).
22.33/22.51	tff(f498,plain,(
22.33/22.51	  $sum(-1.0,$uminus(f($sum(c,d)))) = $uminus($sum(1.0,f($sum(c,d))))),
22.33/22.51	  inference(forward_demodulation,[],[f475,f9])).
22.33/22.51	tff(f503,plain,(
22.33/22.51	  spl0_20 <=> $sum(-1.0,$uminus(f($sum(c,d)))) = $uminus($sum(1.0,f($sum(c,d))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_20])])).
22.33/22.51	tff(f504,plain,(
22.33/22.51	  $sum(-1.0,$uminus(f($sum(c,d)))) = $uminus($sum(1.0,f($sum(c,d)))) | ~spl0_20),
22.33/22.51	  inference(AVATAR_component_clause,[],[f503])).
22.33/22.51	tff(f505,plain,(
22.33/22.51	  spl0_20),
22.33/22.51	  inference(AVATAR_split_clause,[],[f498,f503])).
22.33/22.51	tff(f518,plain,(
22.33/22.51	  ( ! [X0:$real] : ($less($sum(2.0,X0),$sum(f($sum(a,b)),X0))) ) | ~spl0_2),
22.33/22.51	  inference(resolution,[],[f17,f43])).
22.33/22.51	tff(f519,plain,(
22.33/22.51	  ( ! [X1:$real] : ($less($sum(2.0,X1),$sum(f($sum(c,d)),X1))) ) | ~spl0_4),
22.33/22.51	  inference(resolution,[],[f17,f50])).
22.33/22.51	tff(f542,plain,(
22.33/22.51	  ~$less(0.0,2.0) | $less($sum(0.0,f($sum(c,d))),$sum(2.0,f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f17])).
22.33/22.51	tff(f551,plain,(
22.33/22.51	  ~$less(0.0,4.0) | $less($sum(0.0,f($sum(c,d))),$sum(4.0,f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f17])).
22.33/22.51	tff(f552,plain,(
22.33/22.51	  ~$less(0.0,1.0) | $less($sum(0.0,f($sum(c,d))),$sum(1.0,f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f17])).
22.33/22.51	tff(f569,plain,(
22.33/22.51	  $less($sum(0.0,f($sum(c,d))),$sum(1.0,f($sum(c,d))))),
22.33/22.51	  inference(evaluation,[],[f552])).
22.33/22.51	tff(f570,plain,(
22.33/22.51	  $less($sum(0.0,f($sum(c,d))),$sum(4.0,f($sum(c,d))))),
22.33/22.51	  inference(evaluation,[],[f551])).
22.33/22.51	tff(f571,plain,(
22.33/22.51	  $less($sum(0.0,f($sum(c,d))),$sum(2.0,f($sum(c,d))))),
22.33/22.51	  inference(evaluation,[],[f542])).
22.33/22.51	tff(f573,plain,(
22.33/22.51	  $less(f($sum(c,d)),$sum(2.0,f($sum(c,d))))),
22.33/22.51	  inference(forward_demodulation,[],[f571,f151])).
22.33/22.51	tff(f578,plain,(
22.33/22.51	  spl0_22 <=> $less(f($sum(c,d)),$sum(2.0,f($sum(c,d))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_22])])).
22.33/22.51	tff(f579,plain,(
22.33/22.51	  $less(f($sum(c,d)),$sum(2.0,f($sum(c,d)))) | ~spl0_22),
22.33/22.51	  inference(AVATAR_component_clause,[],[f578])).
22.33/22.51	tff(f580,plain,(
22.33/22.51	  spl0_22),
22.33/22.51	  inference(AVATAR_split_clause,[],[f573,f578])).
22.33/22.51	tff(f581,plain,(
22.33/22.51	  $less(f($sum(c,d)),$sum(4.0,f($sum(c,d))))),
22.33/22.51	  inference(forward_demodulation,[],[f570,f151])).
22.33/22.51	tff(f586,plain,(
22.33/22.51	  spl0_24 <=> $less(f($sum(c,d)),$sum(4.0,f($sum(c,d))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_24])])).
22.33/22.51	tff(f587,plain,(
22.33/22.51	  $less(f($sum(c,d)),$sum(4.0,f($sum(c,d)))) | ~spl0_24),
22.33/22.51	  inference(AVATAR_component_clause,[],[f586])).
22.33/22.51	tff(f588,plain,(
22.33/22.51	  spl0_24),
22.33/22.51	  inference(AVATAR_split_clause,[],[f581,f586])).
22.33/22.51	tff(f589,plain,(
22.33/22.51	  $less(f($sum(c,d)),$sum(1.0,f($sum(c,d))))),
22.33/22.51	  inference(forward_demodulation,[],[f569,f151])).
22.33/22.51	tff(f594,plain,(
22.33/22.51	  spl0_26 <=> $less(f($sum(c,d)),$sum(1.0,f($sum(c,d))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_26])])).
22.33/22.51	tff(f595,plain,(
22.33/22.51	  $less(f($sum(c,d)),$sum(1.0,f($sum(c,d)))) | ~spl0_26),
22.33/22.51	  inference(AVATAR_component_clause,[],[f594])).
22.33/22.51	tff(f596,plain,(
22.33/22.51	  spl0_26),
22.33/22.51	  inference(AVATAR_split_clause,[],[f589,f594])).
22.33/22.51	tff(f597,plain,(
22.33/22.51	  ( ! [X2:$real,X3:$real] : (f($sum(X2,X3)) = $product(f(X3),f(X2))) )),
22.33/22.51	  inference(superposition,[],[f30,f20])).
22.33/22.51	tff(f619,plain,(
22.33/22.51	  f($sum(0.0,2.0)) = $product(f(0.0),f(2.0))),
22.33/22.51	  inference(Instantiation,[],[f30])).
22.33/22.51	tff(f628,plain,(
22.33/22.51	  f($sum(0.0,4.0)) = $product(f(0.0),f(4.0))),
22.33/22.51	  inference(Instantiation,[],[f30])).
22.33/22.51	tff(f629,plain,(
22.33/22.51	  f($sum(0.0,1.0)) = $product(f(0.0),f(1.0))),
22.33/22.51	  inference(Instantiation,[],[f30])).
22.33/22.51	tff(f630,plain,(
22.33/22.51	  f($sum(0.0,0.0)) = $product(f(0.0),f(0.0))),
22.33/22.51	  inference(Instantiation,[],[f30])).
22.33/22.51	tff(f631,plain,(
22.33/22.51	  f(0.0) = $product(f(0.0),f(0.0))),
22.33/22.51	  inference(evaluation,[],[f630])).
22.33/22.51	tff(f632,plain,(
22.33/22.51	  f(1.0) = $product(f(0.0),f(1.0))),
22.33/22.51	  inference(evaluation,[],[f629])).
22.33/22.51	tff(f633,plain,(
22.33/22.51	  f(4.0) = $product(f(0.0),f(4.0))),
22.33/22.51	  inference(evaluation,[],[f628])).
22.33/22.51	tff(f634,plain,(
22.33/22.51	  f(2.0) = $product(f(0.0),f(2.0))),
22.33/22.51	  inference(evaluation,[],[f619])).
22.33/22.51	tff(f639,plain,(
22.33/22.51	  spl0_28 <=> f(2.0) = $product(f(0.0),f(2.0))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_28])])).
22.33/22.51	tff(f640,plain,(
22.33/22.51	  f(2.0) = $product(f(0.0),f(2.0)) | ~spl0_28),
22.33/22.51	  inference(AVATAR_component_clause,[],[f639])).
22.33/22.51	tff(f641,plain,(
22.33/22.51	  spl0_28),
22.33/22.51	  inference(AVATAR_split_clause,[],[f634,f639])).
22.33/22.51	tff(f646,plain,(
22.33/22.51	  spl0_30 <=> f(4.0) = $product(f(0.0),f(4.0))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_30])])).
22.33/22.51	tff(f647,plain,(
22.33/22.51	  f(4.0) = $product(f(0.0),f(4.0)) | ~spl0_30),
22.33/22.51	  inference(AVATAR_component_clause,[],[f646])).
22.33/22.51	tff(f648,plain,(
22.33/22.51	  spl0_30),
22.33/22.51	  inference(AVATAR_split_clause,[],[f633,f646])).
22.33/22.51	tff(f653,plain,(
22.33/22.51	  spl0_32 <=> f(1.0) = $product(f(0.0),f(1.0))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_32])])).
22.33/22.51	tff(f654,plain,(
22.33/22.51	  f(1.0) = $product(f(0.0),f(1.0)) | ~spl0_32),
22.33/22.51	  inference(AVATAR_component_clause,[],[f653])).
22.33/22.51	tff(f655,plain,(
22.33/22.51	  spl0_32),
22.33/22.51	  inference(AVATAR_split_clause,[],[f632,f653])).
22.33/22.51	tff(f660,plain,(
22.33/22.51	  spl0_34 <=> f(0.0) = $product(f(0.0),f(0.0))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_34])])).
22.33/22.51	tff(f661,plain,(
22.33/22.51	  f(0.0) = $product(f(0.0),f(0.0)) | ~spl0_34),
22.33/22.51	  inference(AVATAR_component_clause,[],[f660])).
22.33/22.51	tff(f662,plain,(
22.33/22.51	  spl0_34),
22.33/22.51	  inference(AVATAR_split_clause,[],[f631,f660])).
22.33/22.51	tff(f664,plain,(
22.33/22.51	  ( ! [X2:$real,X3:$real] : ($sum(0.0,X3) = $sum(X2,$sum($uminus(X2),X3))) )),
22.33/22.51	  inference(superposition,[],[f10,f13])).
22.33/22.51	tff(f665,plain,(
22.33/22.51	  ( ! [X6:$real,X4:$real,X5:$real] : ($sum(X4,$sum(X5,X6)) = $sum($sum(X5,X4),X6)) )),
22.33/22.51	  inference(superposition,[],[f10,f9])).
22.33/22.51	tff(f669,plain,(
22.33/22.51	  ( ! [X17:$real,X18:$real,X16:$real] : ($sum($uminus($sum(X17,X16)),X18) = $sum($uminus(X16),$sum($uminus(X17),X18))) )),
22.33/22.51	  inference(superposition,[],[f10,f12])).
22.33/22.51	tff(f672,plain,(
22.33/22.51	  ( ! [X8:$real,X7:$real,X9:$real] : ($sum(X7,$sum(X8,X9)) = $sum(X9,$sum(X7,X8))) )),
22.33/22.51	  inference(superposition,[],[f10,f9])).
22.33/22.51	tff(f677,plain,(
22.33/22.51	  ( ! [X10:$real,X8:$real,X9:$real] : ($less(X10,$sum(X8,$sum(X9,1.0))) | $less($sum(X8,X9),X10)) )),
22.33/22.51	  inference(superposition,[],[f18,f10])).
22.33/22.51	tff(f743,plain,(
22.33/22.51	  ( ! [X2:$real,X3:$real] : ($sum(X2,$sum($uminus(X2),X3)) = X3) )),
22.33/22.51	  inference(forward_demodulation,[],[f664,f151])).
22.33/22.51	tff(f746,plain,(
22.33/22.51	  ( ! [X0:$real] : ($less($sum(0.0,X0),$sum(f($sum(c,d)),X0))) ) | ~spl0_14),
22.33/22.51	  inference(resolution,[],[f378,f17])).
22.33/22.51	tff(f747,plain,(
22.33/22.51	  ( ! [X0:$real] : ($less(X0,$sum(f($sum(c,d)),X0))) ) | ~spl0_14),
22.33/22.51	  inference(forward_demodulation,[],[f746,f151])).
22.33/22.51	tff(f752,plain,(
22.33/22.51	  ( ! [X12:$real,X10:$real,X11:$real] : ($product(f($sum(X10,X11)),X12) = $product(f(X10),$product(f(X11),X12))) )),
22.33/22.51	  inference(superposition,[],[f21,f30])).
22.33/22.51	tff(f756,plain,(
22.33/22.51	  ( ! [X8:$real,X7:$real,X9:$real] : ($product(X7,$product(X8,X9)) = $product(X9,$product(X7,X8))) )),
22.33/22.51	  inference(superposition,[],[f21,f20])).
22.33/22.51	tff(f846,plain,(
22.33/22.51	  ( ! [X0:$real,X1:$real] : ($sum(X0,$product(X0,X1)) = $product(X0,$sum(1.0,X1))) )),
22.33/22.51	  inference(superposition,[],[f24,f22])).
22.33/22.51	tff(f848,plain,(
22.33/22.51	  ( ! [X6:$real,X4:$real,X5:$real] : ($sum($product(X5,X4),$product(X4,X6)) = $product(X4,$sum(X5,X6))) )),
22.33/22.51	  inference(superposition,[],[f24,f20])).
22.33/22.51	tff(f850,plain,(
22.33/22.51	  ( ! [X12:$real,X10:$real,X11:$real] : ($sum(f($sum(X10,X11)),$product(f(X10),X12)) = $product(f(X10),$sum(f(X11),X12))) )),
22.33/22.51	  inference(superposition,[],[f24,f30])).
22.33/22.51	tff(f852,plain,(
22.33/22.51	  ( ! [X0:$real,X1:$real] : ($sum($product(X0,X1),X0) = $product(X0,$sum(X1,1.0))) )),
22.33/22.51	  inference(superposition,[],[f24,f22])).
22.33/22.51	tff(f854,plain,(
22.33/22.51	  ( ! [X6:$real,X4:$real,X5:$real] : ($sum($product(X4,X6),$product(X5,X4)) = $product(X4,$sum(X6,X5))) )),
22.33/22.51	  inference(superposition,[],[f24,f20])).
22.33/22.51	tff(f858,plain,(
22.33/22.51	  ( ! [X4:$real,X5:$real,X3:$real] : ($sum($product(X3,X5),$product(X3,X4)) = $product(X3,$sum(X4,X5))) )),
22.33/22.51	  inference(superposition,[],[f24,f9])).
22.33/22.51	tff(f975,plain,(
22.33/22.51	  ( ! [X2:$real,X0:$real,X1:$real] : ($product(X0,X2) != X1 | X0 != X1 | 0.0 = X0 | 1.0 = X2) )),
22.33/22.51	  inference(superposition,[],[f25,f22])).
22.33/22.51	tff(f977,plain,(
22.33/22.51	  ( ! [X6:$real,X8:$real,X7:$real,X9:$real] : ($product(X6,X9) != X8 | $product(X7,X6) != X8 | 0.0 = X6 | X7 = X9) )),
22.33/22.51	  inference(superposition,[],[f25,f20])).
22.33/22.51	tff(f981,plain,(
22.33/22.51	  ( ! [X2:$real,X0:$real,X1:$real] : ($product(X0,X1) != $product(X0,X2) | 0.0 = X0 | X1 = X2) )),
22.33/22.51	  inference(equality_resolution,[],[f25])).
22.33/22.51	tff(f982,plain,(
22.33/22.51	  ( ! [X2:$real,X3:$real,X1:$real] : ($product(1.0,X3) != X1 | $product(1.0,X2) != X1 | 0.0 = 1.0 | X2 = X3) )),
22.33/22.51	  inference(Instantiation,[],[f25])).
22.33/22.51	tff(f1080,plain,(
22.33/22.51	  ( ! [X2:$real,X3:$real,X1:$real] : ($product(1.0,X2) != X1 | $product(1.0,X3) != X1 | X2 = X3) )),
22.33/22.51	  inference(evaluation,[],[f982])).
22.33/22.51	tff(f1087,plain,(
22.33/22.51	  $less($sum(2.0,$uminus(f($sum(a,b)))),0.0) | ~spl0_2),
22.33/22.51	  inference(superposition,[],[f518,f13])).
22.33/22.51	tff(f1113,plain,(
22.33/22.51	  $less($uminus(f($sum(a,b))),$sum(0.0,-2.0)) | ~spl0_2),
22.33/22.51	  inference(evaluation,[],[f1087])).
22.33/22.51	tff(f1114,plain,(
22.33/22.51	  $less($uminus(f($sum(a,b))),-2.0) | ~spl0_2),
22.33/22.51	  inference(evaluation,[],[f1113])).
22.33/22.51	tff(f1126,plain,(
22.33/22.51	  spl0_36 <=> $less($uminus(f($sum(a,b))),-2.0)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_36])])).
22.33/22.51	tff(f1127,plain,(
22.33/22.51	  $less($uminus(f($sum(a,b))),-2.0) | ~spl0_36),
22.33/22.51	  inference(AVATAR_component_clause,[],[f1126])).
22.33/22.51	tff(f1128,plain,(
22.33/22.51	  spl0_36 | ~spl0_2),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1114,f42,f1126])).
22.33/22.51	tff(f1135,plain,(
22.33/22.51	  $less($sum(2.0,$uminus(f($sum(c,d)))),0.0) | ~spl0_4),
22.33/22.51	  inference(superposition,[],[f519,f13])).
22.33/22.51	tff(f1161,plain,(
22.33/22.51	  $less($uminus(f($sum(c,d))),$sum(0.0,-2.0)) | ~spl0_4),
22.33/22.51	  inference(evaluation,[],[f1135])).
22.33/22.51	tff(f1162,plain,(
22.33/22.51	  $less($uminus(f($sum(c,d))),-2.0) | ~spl0_4),
22.33/22.51	  inference(evaluation,[],[f1161])).
22.33/22.51	tff(f1174,plain,(
22.33/22.51	  spl0_38 <=> $less($uminus(f($sum(c,d))),-2.0)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_38])])).
22.33/22.51	tff(f1175,plain,(
22.33/22.51	  $less($uminus(f($sum(c,d))),-2.0) | ~spl0_38),
22.33/22.51	  inference(AVATAR_component_clause,[],[f1174])).
22.33/22.51	tff(f1176,plain,(
22.33/22.51	  spl0_38 | ~spl0_4),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1162,f49,f1174])).
22.33/22.51	tff(f1295,plain,(
22.33/22.51	  ~$less(f($sum(a,b)),2.0) | ~spl0_2),
22.33/22.51	  inference(resolution,[],[f320,f43])).
22.33/22.51	tff(f1296,plain,(
22.33/22.51	  ~$less(f($sum(c,d)),2.0) | ~spl0_4),
22.33/22.51	  inference(resolution,[],[f320,f50])).
22.33/22.51	tff(f1297,plain,(
22.33/22.51	  ~$less(f($sum(c,d)),4.0) | ~spl0_6),
22.33/22.51	  inference(resolution,[],[f320,f299])).
22.33/22.51	tff(f1298,plain,(
22.33/22.51	  ~$less(f($sum(c,d)),0.0) | ~spl0_14),
22.33/22.51	  inference(resolution,[],[f320,f378])).
22.33/22.51	tff(f1299,plain,(
22.33/22.51	  ~$less(f($sum(c,d)),1.0) | ~spl0_10),
22.33/22.51	  inference(resolution,[],[f320,f312])).
22.33/22.51	tff(f1304,plain,(
22.33/22.51	  ~$less(-2.0,$uminus(f($sum(a,b)))) | ~spl0_36),
22.33/22.51	  inference(resolution,[],[f320,f1127])).
22.33/22.51	tff(f1341,plain,(
22.33/22.51	  spl0_41 <=> ~$less(f($sum(a,b)),2.0)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_41])])).
22.33/22.51	tff(f1342,plain,(
22.33/22.51	  ~$less(f($sum(a,b)),2.0) | ~spl0_41),
22.33/22.51	  inference(AVATAR_component_clause,[],[f1341])).
22.33/22.51	tff(f1343,plain,(
22.33/22.51	  ~spl0_41 | ~spl0_2),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1295,f42,f1341])).
22.33/22.51	tff(f1344,plain,(
22.33/22.51	  ~spl0_13 | ~spl0_4),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1296,f49,f314])).
22.33/22.51	tff(f1349,plain,(
22.33/22.51	  spl0_43 <=> ~$less(f($sum(c,d)),4.0)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_43])])).
22.33/22.51	tff(f1350,plain,(
22.33/22.51	  ~$less(f($sum(c,d)),4.0) | ~spl0_43),
22.33/22.51	  inference(AVATAR_component_clause,[],[f1349])).
22.33/22.51	tff(f1351,plain,(
22.33/22.51	  ~spl0_43 | ~spl0_6),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1297,f298,f1349])).
22.33/22.51	tff(f1356,plain,(
22.33/22.51	  spl0_45 <=> ~$less(f($sum(c,d)),0.0)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_45])])).
22.33/22.51	tff(f1358,plain,(
22.33/22.51	  ~spl0_45 | ~spl0_14),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1298,f377,f1356])).
22.33/22.51	tff(f1363,plain,(
22.33/22.51	  spl0_47 <=> ~$less(f($sum(c,d)),1.0)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_47])])).
22.33/22.51	tff(f1364,plain,(
22.33/22.51	  ~$less(f($sum(c,d)),1.0) | ~spl0_47),
22.33/22.51	  inference(AVATAR_component_clause,[],[f1363])).
22.33/22.51	tff(f1365,plain,(
22.33/22.51	  ~spl0_47 | ~spl0_10),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1299,f311,f1363])).
22.33/22.51	tff(f1370,plain,(
22.33/22.51	  spl0_49 <=> ~$less(-2.0,$uminus(f($sum(a,b))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_49])])).
22.33/22.51	tff(f1371,plain,(
22.33/22.51	  ~$less(-2.0,$uminus(f($sum(a,b)))) | ~spl0_49),
22.33/22.51	  inference(AVATAR_component_clause,[],[f1370])).
22.33/22.51	tff(f1372,plain,(
22.33/22.51	  ~spl0_49 | ~spl0_36),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1304,f1126,f1370])).
22.33/22.51	tff(f1379,plain,(
22.33/22.51	  ~$less(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d))))) | (~spl0_1 | ~spl0_6)),
22.33/22.51	  inference(resolution,[],[f321,f299])).
22.33/22.51	tff(f1381,plain,(
22.33/22.51	  ~$less($sum(4.0,1.0),f($sum(a,$sum(b,$sum(c,d))))) | ~spl0_1),
22.33/22.51	  inference(resolution,[],[f321,f244])).
22.33/22.51	tff(f1399,plain,(
22.33/22.51	  ~$less(5.0,f($sum(a,$sum(b,$sum(c,d))))) | ~spl0_1),
22.33/22.51	  inference(evaluation,[],[f1381])).
22.33/22.51	tff(f1404,plain,(
22.33/22.51	  spl0_51 <=> ~$less(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d)))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_51])])).
22.33/22.51	tff(f1406,plain,(
22.33/22.51	  ~spl0_51 | spl0_1 | ~spl0_6),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1379,f298,f35,f1404])).
22.33/22.51	tff(f1411,plain,(
22.33/22.51	  spl0_53 <=> ~$less(5.0,f($sum(a,$sum(b,$sum(c,d)))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_53])])).
22.33/22.51	tff(f1413,plain,(
22.33/22.51	  ~spl0_53 | spl0_1),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1399,f35,f1411])).
22.33/22.51	tff(f1435,plain,(
22.33/22.51	  $less(f($sum(c,d)),$sum(1.0,4.0)) | $less(4.0,f($sum(c,d)))),
22.33/22.51	  inference(Instantiation,[],[f245])).
22.33/22.51	tff(f1466,plain,(
22.33/22.51	  $less(f($sum(c,d)),5.0) | $less(4.0,f($sum(c,d)))),
22.33/22.51	  inference(evaluation,[],[f1435])).
22.33/22.51	tff(f1472,plain,(
22.33/22.51	  ( ! [X0:$real,X1:$real] : (f(2.0) != X0 | $product(f(0.0),X1) != X0 | f(0.0) = 0.0 | f(2.0) = X1) ) | ~spl0_28),
22.33/22.51	  inference(superposition,[],[f25,f640])).
22.33/22.51	tff(f1473,plain,(
22.33/22.51	  ( ! [X2:$real] : ($sum($product(f(0.0),X2),f(2.0)) = $product(f(0.0),$sum(X2,f(2.0)))) ) | ~spl0_28),
22.33/22.51	  inference(superposition,[],[f24,f640])).
22.33/22.51	tff(f1474,plain,(
22.33/22.51	  ( ! [X3:$real] : ($sum(f(2.0),$product(f(0.0),X3)) = $product(f(0.0),$sum(f(2.0),X3))) ) | ~spl0_28),
22.33/22.51	  inference(superposition,[],[f24,f640])).
22.33/22.51	tff(f1479,plain,(
22.33/22.51	  spl0_55 <=> f(0.0) != 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_55])])).
22.33/22.51	tff(f1480,plain,(
22.33/22.51	  f(0.0) != 0.0 | ~spl0_55),
22.33/22.51	  inference(AVATAR_component_clause,[],[f1479])).
22.33/22.51	tff(f1482,plain,(
22.33/22.51	  spl0_54 <=> f(0.0) = 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_54])])).
22.33/22.51	tff(f1483,plain,(
22.33/22.51	  f(0.0) = 0.0 | ~spl0_54),
22.33/22.51	  inference(AVATAR_component_clause,[],[f1482])).
22.33/22.51	tff(f1485,plain,(
22.33/22.51	  spl0_56 <=> ! [X1 : $real,X0 : $real] : (f(2.0) != X0 | f(2.0) = X1 | $product(f(0.0),X1) != X0)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_56])])).
22.33/22.51	tff(f1487,plain,(
22.33/22.51	  spl0_54 | spl0_56 | ~spl0_28),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1472,f639,f1485,f1482])).
22.33/22.51	tff(f1488,plain,(
22.33/22.51	  ( ! [X2:$real] : ($sum(f(2.0),$product(f(0.0),X2)) = $product(f(0.0),$sum(X2,f(2.0)))) ) | ~spl0_28),
22.33/22.51	  inference(forward_demodulation,[],[f1473,f9])).
22.33/22.51	tff(f1489,plain,(
22.33/22.51	  f(2.0) = $product(0.0,f(2.0)) | (~spl0_28 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f1483,f640])).
22.33/22.51	tff(f1490,plain,(
22.33/22.51	  f(4.0) = $product(0.0,f(4.0)) | (~spl0_30 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f1483,f647])).
22.33/22.51	tff(f1491,plain,(
22.33/22.51	  f(1.0) = $product(0.0,f(1.0)) | (~spl0_32 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f1483,f654])).
22.33/22.51	tff(f1493,plain,(
22.33/22.51	  ( ! [X3:$real] : ($sum(f(2.0),$product(0.0,X3)) = $product(0.0,$sum(f(2.0),X3))) ) | (~spl0_28 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f1483,f1474])).
22.33/22.51	tff(f1495,plain,(
22.33/22.51	  ( ! [X2:$real] : ($sum(f(2.0),$product(0.0,X2)) = $product(0.0,$sum(X2,f(2.0)))) ) | (~spl0_28 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f1483,f1488])).
22.33/22.51	tff(f1496,plain,(
22.33/22.51	  f(2.0) = 0.0 | (~spl0_28 | ~spl0_54)),
22.33/22.51	  inference(forward_demodulation,[],[f1489,f207])).
22.33/22.51	tff(f1501,plain,(
22.33/22.51	  spl0_58 <=> f(2.0) = 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_58])])).
22.33/22.51	tff(f1503,plain,(
22.33/22.51	  spl0_58 | ~spl0_28 | ~spl0_54),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1496,f1482,f639,f1501])).
22.33/22.51	tff(f1504,plain,(
22.33/22.51	  f(4.0) = 0.0 | (~spl0_30 | ~spl0_54)),
22.33/22.51	  inference(forward_demodulation,[],[f1490,f207])).
22.33/22.51	tff(f1509,plain,(
22.33/22.51	  spl0_60 <=> f(4.0) = 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_60])])).
22.33/22.51	tff(f1511,plain,(
22.33/22.51	  spl0_60 | ~spl0_30 | ~spl0_54),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1504,f1482,f646,f1509])).
22.33/22.51	tff(f1512,plain,(
22.33/22.51	  f(1.0) = 0.0 | (~spl0_32 | ~spl0_54)),
22.33/22.51	  inference(forward_demodulation,[],[f1491,f207])).
22.33/22.51	tff(f1517,plain,(
22.33/22.51	  spl0_62 <=> f(1.0) = 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_62])])).
22.33/22.51	tff(f1519,plain,(
22.33/22.51	  spl0_62 | ~spl0_32 | ~spl0_54),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1512,f1482,f653,f1517])).
22.33/22.51	tff(f1520,plain,(
22.33/22.51	  ( ! [X3:$real] : ($sum(f(2.0),$product(0.0,X3)) = 0.0) ) | (~spl0_28 | ~spl0_54)),
22.33/22.51	  inference(forward_demodulation,[],[f1493,f207])).
22.33/22.51	tff(f1521,plain,(
22.33/22.51	  $sum(f(2.0),0.0) = 0.0 | (~spl0_28 | ~spl0_54)),
22.33/22.51	  inference(forward_demodulation,[],[f1520,f207])).
22.33/22.51	tff(f1522,plain,(
22.33/22.51	  f(2.0) = $sum(0.0,0.0) | (~spl0_28 | ~spl0_54)),
22.33/22.51	  inference(evaluation,[],[f1521])).
22.33/22.51	tff(f1523,plain,(
22.33/22.51	  f(2.0) = 0.0 | (~spl0_28 | ~spl0_54)),
22.33/22.51	  inference(evaluation,[],[f1522])).
22.33/22.51	tff(f1524,plain,(
22.33/22.51	  spl0_58 | ~spl0_28 | ~spl0_54),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1523,f1482,f639,f1501])).
22.33/22.51	tff(f1526,plain,(
22.33/22.51	  ( ! [X2:$real] : ($sum(f(2.0),$product(0.0,X2)) = 0.0) ) | (~spl0_28 | ~spl0_54)),
22.33/22.51	  inference(forward_demodulation,[],[f1495,f207])).
22.33/22.51	tff(f1527,plain,(
22.33/22.51	  $sum(f(2.0),0.0) = 0.0 | (~spl0_28 | ~spl0_54)),
22.33/22.51	  inference(forward_demodulation,[],[f1526,f207])).
22.33/22.51	tff(f1528,plain,(
22.33/22.51	  f(2.0) = $sum(0.0,0.0) | (~spl0_28 | ~spl0_54)),
22.33/22.51	  inference(evaluation,[],[f1527])).
22.33/22.51	tff(f1529,plain,(
22.33/22.51	  f(2.0) = 0.0 | (~spl0_28 | ~spl0_54)),
22.33/22.51	  inference(evaluation,[],[f1528])).
22.33/22.51	tff(f1530,plain,(
22.33/22.51	  spl0_58 | ~spl0_28 | ~spl0_54),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1529,f1482,f639,f1501])).
22.33/22.51	tff(f1536,plain,(
22.33/22.51	  ( ! [X0:$real,X1:$real] : (f(2.0) != X0 | $product(f(0.0),X1) != X0 | f(0.0) = 0.0 | f(2.0) = X1) ) | ~spl0_28),
22.33/22.51	  inference(superposition,[],[f25,f640])).
22.33/22.51	tff(f1545,plain,(
22.33/22.51	  ( ! [X0:$real,X1:$real] : (f(4.0) != X0 | $product(f(0.0),X1) != X0 | f(0.0) = 0.0 | f(4.0) = X1) ) | ~spl0_30),
22.33/22.51	  inference(superposition,[],[f25,f647])).
22.33/22.51	tff(f1555,plain,(
22.33/22.51	  ( ! [X0:$real,X1:$real] : (f(1.0) != X0 | $product(f(0.0),X1) != X0 | f(0.0) = 0.0 | f(1.0) = X1) ) | ~spl0_32),
22.33/22.51	  inference(superposition,[],[f25,f654])).
22.33/22.51	tff(f1565,plain,(
22.33/22.51	  ( ! [X0:$real,X1:$real] : (f(0.0) != X0 | $product(f(0.0),X1) != X0 | f(0.0) = 0.0 | f(0.0) = X1) ) | ~spl0_34),
22.33/22.51	  inference(superposition,[],[f25,f661])).
22.33/22.51	tff(f1595,plain,(
22.33/22.51	  f($sum(c,d)) = $sum(2.0,$sum($uminus(2.0),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f743])).
22.33/22.51	tff(f1604,plain,(
22.33/22.51	  f($sum(c,d)) = $sum(4.0,$sum($uminus(4.0),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f743])).
22.33/22.51	tff(f1605,plain,(
22.33/22.51	  f($sum(c,d)) = $sum(1.0,$sum($uminus(1.0),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f743])).
22.33/22.51	tff(f1642,plain,(
22.33/22.51	  f($sum(c,d)) = $sum(1.0,$sum(-1.0,f($sum(c,d))))),
22.33/22.51	  inference(evaluation,[],[f1605])).
22.33/22.51	tff(f1643,plain,(
22.33/22.51	  f($sum(c,d)) = $sum(4.0,$sum(-4.0,f($sum(c,d))))),
22.33/22.51	  inference(evaluation,[],[f1604])).
22.33/22.51	tff(f1644,plain,(
22.33/22.51	  f($sum(c,d)) = $sum(2.0,$sum(-2.0,f($sum(c,d))))),
22.33/22.51	  inference(evaluation,[],[f1595])).
22.33/22.51	tff(f1659,plain,(
22.33/22.51	  spl0_64 <=> f($sum(c,d)) = $sum(2.0,$sum(-2.0,f($sum(c,d))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_64])])).
22.33/22.51	tff(f1661,plain,(
22.33/22.51	  spl0_64),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1644,f1659])).
22.33/22.51	tff(f1666,plain,(
22.33/22.51	  spl0_66 <=> f($sum(c,d)) = $sum(4.0,$sum(-4.0,f($sum(c,d))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_66])])).
22.33/22.51	tff(f1668,plain,(
22.33/22.51	  spl0_66),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1643,f1666])).
22.33/22.51	tff(f1673,plain,(
22.33/22.51	  spl0_68 <=> f($sum(c,d)) = $sum(1.0,$sum(-1.0,f($sum(c,d))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_68])])).
22.33/22.51	tff(f1675,plain,(
22.33/22.51	  spl0_68),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1642,f1673])).
22.33/22.51	tff(f1706,plain,(
22.33/22.51	  $sum(2.0,$uminus(f($sum(c,d)))) = $uminus($sum(f($sum(c,d)),$uminus(2.0)))),
22.33/22.51	  inference(Instantiation,[],[f421])).
22.33/22.51	tff(f1715,plain,(
22.33/22.51	  $sum(4.0,$uminus(f($sum(c,d)))) = $uminus($sum(f($sum(c,d)),$uminus(4.0)))),
22.33/22.51	  inference(Instantiation,[],[f421])).
22.33/22.51	tff(f1716,plain,(
22.33/22.51	  $sum(1.0,$uminus(f($sum(c,d)))) = $uminus($sum(f($sum(c,d)),$uminus(1.0)))),
22.33/22.51	  inference(Instantiation,[],[f421])).
22.33/22.51	tff(f1753,plain,(
22.33/22.51	  $sum(1.0,$uminus(f($sum(c,d)))) = $uminus($sum(f($sum(c,d)),-1.0))),
22.33/22.51	  inference(evaluation,[],[f1716])).
22.33/22.51	tff(f1754,plain,(
22.33/22.51	  $sum(4.0,$uminus(f($sum(c,d)))) = $uminus($sum(f($sum(c,d)),-4.0))),
22.33/22.51	  inference(evaluation,[],[f1715])).
22.33/22.51	tff(f1755,plain,(
22.33/22.51	  $sum(2.0,$uminus(f($sum(c,d)))) = $uminus($sum(f($sum(c,d)),-2.0))),
22.33/22.51	  inference(evaluation,[],[f1706])).
22.33/22.51	tff(f1766,plain,(
22.33/22.51	  $sum(2.0,$uminus(f($sum(c,d)))) = $uminus($sum(-2.0,f($sum(c,d))))),
22.33/22.51	  inference(forward_demodulation,[],[f1755,f9])).
22.33/22.51	tff(f1771,plain,(
22.33/22.51	  spl0_70 <=> $sum(2.0,$uminus(f($sum(c,d)))) = $uminus($sum(-2.0,f($sum(c,d))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_70])])).
22.33/22.51	tff(f1773,plain,(
22.33/22.51	  spl0_70),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1766,f1771])).
22.33/22.51	tff(f1774,plain,(
22.33/22.51	  $sum(4.0,$uminus(f($sum(c,d)))) = $uminus($sum(-4.0,f($sum(c,d))))),
22.33/22.51	  inference(forward_demodulation,[],[f1754,f9])).
22.33/22.51	tff(f1779,plain,(
22.33/22.51	  spl0_72 <=> $sum(4.0,$uminus(f($sum(c,d)))) = $uminus($sum(-4.0,f($sum(c,d))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_72])])).
22.33/22.51	tff(f1781,plain,(
22.33/22.51	  spl0_72),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1774,f1779])).
22.33/22.51	tff(f1782,plain,(
22.33/22.51	  $sum(1.0,$uminus(f($sum(c,d)))) = $uminus($sum(-1.0,f($sum(c,d))))),
22.33/22.51	  inference(forward_demodulation,[],[f1753,f9])).
22.33/22.51	tff(f1787,plain,(
22.33/22.51	  spl0_74 <=> $sum(1.0,$uminus(f($sum(c,d)))) = $uminus($sum(-1.0,f($sum(c,d))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_74])])).
22.33/22.51	tff(f1789,plain,(
22.33/22.51	  spl0_74),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1782,f1787])).
22.33/22.51	tff(f1920,plain,(
22.33/22.51	  ( ! [X2:$real,X3:$real] : ($uminus($sum(X2,X3)) = $uminus($sum(X3,X2))) )),
22.33/22.51	  inference(superposition,[],[f424,f12])).
22.33/22.51	tff(f2064,plain,(
22.33/22.51	  f($sum(0.0,2.0)) = $product(f(2.0),f(0.0))),
22.33/22.51	  inference(Instantiation,[],[f597])).
22.33/22.51	tff(f2073,plain,(
22.33/22.51	  f($sum(0.0,4.0)) = $product(f(4.0),f(0.0))),
22.33/22.51	  inference(Instantiation,[],[f597])).
22.33/22.51	tff(f2074,plain,(
22.33/22.51	  f($sum(0.0,1.0)) = $product(f(1.0),f(0.0))),
22.33/22.51	  inference(Instantiation,[],[f597])).
22.33/22.51	tff(f2077,plain,(
22.33/22.51	  f(1.0) = $product(f(1.0),f(0.0))),
22.33/22.51	  inference(evaluation,[],[f2074])).
22.33/22.51	tff(f2078,plain,(
22.33/22.51	  f(4.0) = $product(f(4.0),f(0.0))),
22.33/22.51	  inference(evaluation,[],[f2073])).
22.33/22.51	tff(f2079,plain,(
22.33/22.51	  f(2.0) = $product(f(2.0),f(0.0))),
22.33/22.51	  inference(evaluation,[],[f2064])).
22.33/22.51	tff(f2092,plain,(
22.33/22.51	  spl0_76 <=> f(2.0) = $product(f(2.0),f(0.0))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_76])])).
22.33/22.51	tff(f2094,plain,(
22.33/22.51	  spl0_76),
22.33/22.51	  inference(AVATAR_split_clause,[],[f2079,f2092])).
22.33/22.51	tff(f2099,plain,(
22.33/22.51	  spl0_78 <=> f(4.0) = $product(f(4.0),f(0.0))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_78])])).
22.33/22.51	tff(f2101,plain,(
22.33/22.51	  spl0_78),
22.33/22.51	  inference(AVATAR_split_clause,[],[f2078,f2099])).
22.33/22.51	tff(f2106,plain,(
22.33/22.51	  spl0_80 <=> f(1.0) = $product(f(1.0),f(0.0))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_80])])).
22.33/22.51	tff(f2108,plain,(
22.33/22.51	  spl0_80),
22.33/22.51	  inference(AVATAR_split_clause,[],[f2077,f2106])).
22.33/22.51	tff(f2109,plain,(
22.33/22.51	  ~$less($sum(2.0,f($sum(c,d))),f($sum(c,d))) | ~spl0_22),
22.33/22.51	  inference(resolution,[],[f579,f320])).
22.33/22.51	tff(f2115,plain,(
22.33/22.51	  spl0_83 <=> ~$less($sum(2.0,f($sum(c,d))),f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_83])])).
22.33/22.51	tff(f2117,plain,(
22.33/22.51	  ~spl0_83 | ~spl0_22),
22.33/22.51	  inference(AVATAR_split_clause,[],[f2109,f578,f2115])).
22.33/22.51	tff(f2119,plain,(
22.33/22.51	  ~$less($sum(4.0,f($sum(c,d))),f($sum(c,d))) | ~spl0_24),
22.33/22.51	  inference(resolution,[],[f587,f320])).
22.33/22.51	tff(f2125,plain,(
22.33/22.51	  spl0_85 <=> ~$less($sum(4.0,f($sum(c,d))),f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_85])])).
22.33/22.51	tff(f2127,plain,(
22.33/22.51	  ~spl0_85 | ~spl0_24),
22.33/22.51	  inference(AVATAR_split_clause,[],[f2119,f586,f2125])).
22.33/22.51	tff(f2129,plain,(
22.33/22.51	  ~$less($sum(1.0,f($sum(c,d))),f($sum(c,d))) | ~spl0_26),
22.33/22.51	  inference(resolution,[],[f595,f320])).
22.33/22.51	tff(f2135,plain,(
22.33/22.51	  spl0_87 <=> ~$less($sum(1.0,f($sum(c,d))),f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_87])])).
22.33/22.51	tff(f2137,plain,(
22.33/22.51	  ~spl0_87 | ~spl0_26),
22.33/22.51	  inference(AVATAR_split_clause,[],[f2129,f594,f2135])).
22.33/22.51	tff(f2144,plain,(
22.33/22.51	  ( ! [X14:$real,X15:$real,X13:$real,X16:$real] : ($sum(X15,$sum($sum(X13,X14),X16)) = $sum($sum(X14,$sum(X13,X15)),X16)) )),
22.33/22.51	  inference(superposition,[],[f665,f665])).
22.33/22.51	tff(f2145,plain,(
22.33/22.51	  ( ! [X19:$real,X17:$real,X20:$real,X18:$real] : ($sum(X19,$sum($sum(X17,X18),X20)) = $sum($sum(X17,$sum(X18,X19)),X20)) )),
22.33/22.51	  inference(superposition,[],[f665,f10])).
22.33/22.51	tff(f2232,plain,(
22.33/22.51	  ( ! [X14:$real,X15:$real,X13:$real,X16:$real] : ($sum(X15,$sum(X13,$sum(X14,X16))) = $sum($sum(X14,$sum(X13,X15)),X16)) )),
22.33/22.51	  inference(forward_demodulation,[],[f2144,f10])).
22.33/22.51	tff(f2233,plain,(
22.33/22.51	  ( ! [X19:$real,X17:$real,X20:$real,X18:$real] : ($sum(X19,$sum(X18,$sum(X17,X20))) = $sum(X19,$sum($sum(X17,X18),X20))) )),
22.33/22.51	  inference(forward_demodulation,[],[f2145,f2232])).
22.33/22.51	tff(f2234,plain,(
22.33/22.51	  ( ! [X19:$real,X17:$real,X20:$real,X18:$real] : ($sum(X19,$sum(X17,$sum(X18,X20))) = $sum(X19,$sum(X18,$sum(X17,X20)))) )),
22.33/22.51	  inference(forward_demodulation,[],[f2233,f10])).
22.33/22.51	tff(f2560,plain,(
22.33/22.51	  ( ! [X23:$real,X21:$real,X22:$real] : ($product(X23,f($sum(X21,X22))) = $product(f(X21),$product(f(X22),X23))) )),
22.33/22.51	  inference(superposition,[],[f756,f30])).
22.33/22.51	tff(f2703,plain,(
22.33/22.51	  ~$less(-2.0,$uminus(f($sum(c,d)))) | ~spl0_38),
22.33/22.51	  inference(resolution,[],[f1175,f320])).
22.33/22.51	tff(f2709,plain,(
22.33/22.51	  spl0_89 <=> ~$less(-2.0,$uminus(f($sum(c,d))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_89])])).
22.33/22.51	tff(f2710,plain,(
22.33/22.51	  ~$less(-2.0,$uminus(f($sum(c,d)))) | ~spl0_89),
22.33/22.51	  inference(AVATAR_component_clause,[],[f2709])).
22.33/22.51	tff(f2711,plain,(
22.33/22.51	  ~spl0_89 | ~spl0_38),
22.33/22.51	  inference(AVATAR_split_clause,[],[f2703,f1174,f2709])).
22.33/22.51	tff(f2718,plain,(
22.33/22.51	  ( ! [X13:$real] : ($sum(X13,X13) = $product(X13,$sum(1.0,1.0))) )),
22.33/22.51	  inference(superposition,[],[f846,f22])).
22.33/22.51	tff(f2719,plain,(
22.33/22.51	  ( ! [X14:$real,X15:$real] : ($sum(f(X14),f($sum(X15,X14))) = $product(f(X14),$sum(1.0,f(X15)))) )),
22.33/22.51	  inference(superposition,[],[f846,f597])).
22.33/22.51	tff(f2721,plain,(
22.33/22.51	  $sum(f(0.0),f(2.0)) = $product(f(0.0),$sum(1.0,f(2.0))) | ~spl0_28),
22.33/22.51	  inference(superposition,[],[f846,f640])).
22.33/22.51	tff(f2722,plain,(
22.33/22.51	  $sum(f(0.0),f(4.0)) = $product(f(0.0),$sum(1.0,f(4.0))) | ~spl0_30),
22.33/22.51	  inference(superposition,[],[f846,f647])).
22.33/22.51	tff(f2723,plain,(
22.33/22.51	  $sum(f(0.0),f(0.0)) = $product(f(0.0),$sum(1.0,f(0.0))) | ~spl0_34),
22.33/22.51	  inference(superposition,[],[f846,f661])).
22.33/22.51	tff(f2724,plain,(
22.33/22.51	  $sum(f(0.0),f(1.0)) = $product(f(0.0),$sum(1.0,f(1.0))) | ~spl0_32),
22.33/22.51	  inference(superposition,[],[f846,f654])).
22.33/22.51	tff(f2744,plain,(
22.33/22.51	  ( ! [X16:$real] : ($less($sum(2.0,$product(f($sum(a,b)),X16)),$product(f($sum(a,b)),$sum(1.0,X16)))) ) | ~spl0_2),
22.33/22.51	  inference(superposition,[],[f518,f846])).
22.33/22.51	tff(f2745,plain,(
22.33/22.51	  ( ! [X17:$real] : ($less($sum(2.0,$product(f($sum(c,d)),X17)),$product(f($sum(c,d)),$sum(1.0,X17)))) ) | ~spl0_4),
22.33/22.51	  inference(superposition,[],[f519,f846])).
22.33/22.51	tff(f2801,plain,(
22.33/22.51	  ( ! [X13:$real] : ($sum(X13,X13) = $product(X13,2.0)) )),
22.33/22.51	  inference(evaluation,[],[f2718])).
22.33/22.51	tff(f2808,plain,(
22.33/22.51	  spl0_90 <=> $sum(f(0.0),f(2.0)) = $product(f(0.0),$sum(1.0,f(2.0)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_90])])).
22.33/22.51	tff(f2810,plain,(
22.33/22.51	  spl0_90 | ~spl0_28),
22.33/22.51	  inference(AVATAR_split_clause,[],[f2721,f639,f2808])).
22.33/22.51	tff(f2815,plain,(
22.33/22.51	  spl0_92 <=> $sum(f(0.0),f(4.0)) = $product(f(0.0),$sum(1.0,f(4.0)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_92])])).
22.33/22.51	tff(f2817,plain,(
22.33/22.51	  spl0_92 | ~spl0_30),
22.33/22.51	  inference(AVATAR_split_clause,[],[f2722,f646,f2815])).
22.33/22.51	tff(f2818,plain,(
22.33/22.51	  $product(f(0.0),2.0) = $product(f(0.0),$sum(1.0,f(0.0))) | ~spl0_34),
22.33/22.51	  inference(forward_demodulation,[],[f2723,f2801])).
22.33/22.51	tff(f2819,plain,(
22.33/22.51	  $product(2.0,f(0.0)) = $product(f(0.0),$sum(1.0,f(0.0))) | ~spl0_34),
22.33/22.51	  inference(forward_demodulation,[],[f2818,f20])).
22.33/22.51	tff(f2824,plain,(
22.33/22.51	  spl0_94 <=> $product(2.0,f(0.0)) = $product(f(0.0),$sum(1.0,f(0.0)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_94])])).
22.33/22.51	tff(f2825,plain,(
22.33/22.51	  $product(2.0,f(0.0)) = $product(f(0.0),$sum(1.0,f(0.0))) | ~spl0_94),
22.33/22.51	  inference(AVATAR_component_clause,[],[f2824])).
22.33/22.51	tff(f2826,plain,(
22.33/22.51	  spl0_94 | ~spl0_34),
22.33/22.51	  inference(AVATAR_split_clause,[],[f2819,f660,f2824])).
22.33/22.51	tff(f2831,plain,(
22.33/22.51	  spl0_96 <=> $sum(f(0.0),f(1.0)) = $product(f(0.0),$sum(1.0,f(1.0)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_96])])).
22.33/22.51	tff(f2833,plain,(
22.33/22.51	  spl0_96 | ~spl0_32),
22.33/22.51	  inference(AVATAR_split_clause,[],[f2724,f653,f2831])).
22.33/22.51	tff(f2852,plain,(
22.33/22.51	  $sum(f(0.0),f(0.0)) = $product(f(0.0),$sum(f(0.0),1.0)) | ~spl0_34),
22.33/22.51	  inference(superposition,[],[f852,f661])).
22.33/22.51	tff(f2948,plain,(
22.33/22.51	  $sum(f(0.0),f(0.0)) = $product(f(0.0),$sum(1.0,f(0.0))) | ~spl0_34),
22.33/22.51	  inference(forward_demodulation,[],[f2852,f9])).
22.33/22.51	tff(f2949,plain,(
22.33/22.51	  $sum(f(0.0),f(0.0)) = $product(2.0,f(0.0)) | (~spl0_34 | ~spl0_94)),
22.33/22.51	  inference(forward_demodulation,[],[f2948,f2825])).
22.33/22.51	tff(f2954,plain,(
22.33/22.51	  spl0_98 <=> $sum(f(0.0),f(0.0)) = $product(2.0,f(0.0))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_98])])).
22.33/22.51	tff(f2956,plain,(
22.33/22.51	  spl0_98 | ~spl0_34 | ~spl0_94),
22.33/22.51	  inference(AVATAR_split_clause,[],[f2949,f2824,f660,f2954])).
22.33/22.51	tff(f3144,plain,(
22.33/22.51	  $less(f($sum(c,d)),$sum(0.0,$sum(4.0,1.0))) | $less($sum(0.0,4.0),f($sum(c,d)))),
22.33/22.51	  inference(Instantiation,[],[f677])).
22.33/22.51	tff(f3189,plain,(
22.33/22.51	  $less(f($sum(c,d)),$sum(0.0,5.0)) | $less(4.0,f($sum(c,d)))),
22.33/22.51	  inference(evaluation,[],[f3144])).
22.33/22.51	tff(f3190,plain,(
22.33/22.51	  $less(f($sum(c,d)),5.0) | $less(4.0,f($sum(c,d)))),
22.33/22.51	  inference(evaluation,[],[f3189])).
22.33/22.51	tff(f3598,plain,(
22.33/22.51	  ( ! [X2:$real,X3:$real] : ($product(X2,$sum(X3,X3)) = $product(X3,$sum(X2,X2))) )),
22.33/22.51	  inference(superposition,[],[f854,f848])).
22.33/22.51	tff(f3783,plain,(
22.33/22.51	  ( ! [X4:$real,X5:$real,X3:$real] : ($product(X3,$sum(X4,X5)) = $product(X3,$sum(X5,X4))) )),
22.33/22.51	  inference(superposition,[],[f858,f24])).
22.33/22.51	tff(f3945,plain,(
22.33/22.51	  ( ! [X30:$real] : (f(2.0) != $product(f(0.0),X30) | f(0.0) = 0.0 | f(2.0) = X30) ) | ~spl0_28),
22.33/22.51	  inference(superposition,[],[f981,f640])).
22.33/22.51	tff(f3946,plain,(
22.33/22.51	  ( ! [X31:$real] : (f(4.0) != $product(f(0.0),X31) | f(0.0) = 0.0 | f(4.0) = X31) ) | ~spl0_30),
22.33/22.51	  inference(superposition,[],[f981,f647])).
22.33/22.51	tff(f3947,plain,(
22.33/22.51	  ( ! [X32:$real] : (f(0.0) != $product(f(0.0),X32) | f(0.0) = 0.0 | f(0.0) = X32) ) | ~spl0_34),
22.33/22.51	  inference(superposition,[],[f981,f661])).
22.33/22.51	tff(f3948,plain,(
22.33/22.51	  ( ! [X33:$real] : (f(1.0) != $product(f(0.0),X33) | f(0.0) = 0.0 | f(1.0) = X33) ) | ~spl0_32),
22.33/22.51	  inference(superposition,[],[f981,f654])).
22.33/22.51	tff(f3963,plain,(
22.33/22.51	  ( ! [X30:$real] : (f(2.0) != $product(f(0.0),X30) | f(0.0) = 0.0 | f(2.0) = X30) ) | ~spl0_28),
22.33/22.51	  inference(superposition,[],[f981,f640])).
22.33/22.51	tff(f3964,plain,(
22.33/22.51	  ( ! [X31:$real] : (f(4.0) != $product(f(0.0),X31) | f(0.0) = 0.0 | f(4.0) = X31) ) | ~spl0_30),
22.33/22.51	  inference(superposition,[],[f981,f647])).
22.33/22.51	tff(f3965,plain,(
22.33/22.51	  ( ! [X32:$real] : (f(0.0) != $product(f(0.0),X32) | f(0.0) = 0.0 | f(0.0) = X32) ) | ~spl0_34),
22.33/22.51	  inference(superposition,[],[f981,f661])).
22.33/22.51	tff(f3966,plain,(
22.33/22.51	  ( ! [X33:$real] : (f(1.0) != $product(f(0.0),X33) | f(0.0) = 0.0 | f(1.0) = X33) ) | ~spl0_32),
22.33/22.51	  inference(superposition,[],[f981,f654])).
22.33/22.51	tff(f4056,plain,(
22.33/22.51	  $product(1.0,f($sum(a,b))) != 0.0 | $product(1.0,f($sum(c,d))) != 0.0 | f($sum(a,b)) = f($sum(c,d))),
22.33/22.51	  inference(Instantiation,[],[f1080])).
22.33/22.51	tff(f4058,plain,(
22.33/22.51	  $product(1.0,d) != 0.0 | $product(1.0,f($sum(c,d))) != 0.0 | d = f($sum(c,d))),
22.33/22.51	  inference(Instantiation,[],[f1080])).
22.33/22.51	tff(f4059,plain,(
22.33/22.51	  $product(1.0,c) != 0.0 | $product(1.0,f($sum(c,d))) != 0.0 | c = f($sum(c,d))),
22.33/22.51	  inference(Instantiation,[],[f1080])).
22.33/22.51	tff(f4061,plain,(
22.33/22.51	  $product(1.0,b) != 0.0 | $product(1.0,f($sum(c,d))) != 0.0 | b = f($sum(c,d))),
22.33/22.51	  inference(Instantiation,[],[f1080])).
22.33/22.51	tff(f4063,plain,(
22.33/22.51	  $product(1.0,a) != 0.0 | $product(1.0,f($sum(c,d))) != 0.0 | a = f($sum(c,d))),
22.33/22.51	  inference(Instantiation,[],[f1080])).
22.33/22.51	tff(f4065,plain,(
22.33/22.51	  $product(1.0,f($sum(a,$sum(b,$sum(c,d))))) != 0.0 | $product(1.0,f($sum(c,d))) != 0.0 | f($sum(c,d)) = f($sum(a,$sum(b,$sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f1080])).
22.33/22.51	tff(f4097,plain,(
22.33/22.51	  f($sum(a,$sum(b,$sum(c,d)))) != 0.0 | f($sum(c,d)) != 0.0 | f($sum(c,d)) = f($sum(a,$sum(b,$sum(c,d))))),
22.33/22.51	  inference(evaluation,[],[f4065])).
22.33/22.51	tff(f4099,plain,(
22.33/22.51	  a != 0.0 | f($sum(c,d)) != 0.0 | a = f($sum(c,d))),
22.33/22.51	  inference(evaluation,[],[f4063])).
22.33/22.51	tff(f4101,plain,(
22.33/22.51	  b != 0.0 | f($sum(c,d)) != 0.0 | b = f($sum(c,d))),
22.33/22.51	  inference(evaluation,[],[f4061])).
22.33/22.51	tff(f4103,plain,(
22.33/22.51	  c != 0.0 | f($sum(c,d)) != 0.0 | c = f($sum(c,d))),
22.33/22.51	  inference(evaluation,[],[f4059])).
22.33/22.51	tff(f4104,plain,(
22.33/22.51	  d != 0.0 | f($sum(c,d)) != 0.0 | d = f($sum(c,d))),
22.33/22.51	  inference(evaluation,[],[f4058])).
22.33/22.51	tff(f4105,plain,(
22.33/22.51	  f($sum(a,b)) != 0.0 | f($sum(c,d)) != 0.0 | f($sum(a,b)) = f($sum(c,d))),
22.33/22.51	  inference(evaluation,[],[f4056])).
22.33/22.51	tff(f4133,plain,(
22.33/22.51	  spl0_100 <=> f($sum(a,b)) = f($sum(c,d))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_100])])).
22.33/22.51	tff(f4139,plain,(
22.33/22.51	  spl0_103 <=> f($sum(c,d)) != 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_103])])).
22.33/22.51	tff(f4140,plain,(
22.33/22.51	  f($sum(c,d)) != 0.0 | ~spl0_103),
22.33/22.51	  inference(AVATAR_component_clause,[],[f4139])).
22.33/22.51	tff(f4145,plain,(
22.33/22.51	  spl0_105 <=> f($sum(a,b)) != 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_105])])).
22.33/22.51	tff(f4147,plain,(
22.33/22.51	  spl0_100 | ~spl0_103 | ~spl0_105),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4105,f4145,f4139,f4133])).
22.33/22.51	tff(f4152,plain,(
22.33/22.51	  spl0_106 <=> d = f($sum(c,d))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_106])])).
22.33/22.51	tff(f4158,plain,(
22.33/22.51	  spl0_109 <=> d != 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_109])])).
22.33/22.51	tff(f4160,plain,(
22.33/22.51	  spl0_106 | ~spl0_103 | ~spl0_109),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4104,f4158,f4139,f4152])).
22.33/22.51	tff(f4165,plain,(
22.33/22.51	  spl0_110 <=> c = f($sum(c,d))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_110])])).
22.33/22.51	tff(f4171,plain,(
22.33/22.51	  spl0_113 <=> c != 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_113])])).
22.33/22.51	tff(f4173,plain,(
22.33/22.51	  spl0_110 | ~spl0_103 | ~spl0_113),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4103,f4171,f4139,f4165])).
22.33/22.51	tff(f4178,plain,(
22.33/22.51	  spl0_114 <=> b = f($sum(c,d))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_114])])).
22.33/22.51	tff(f4184,plain,(
22.33/22.51	  spl0_117 <=> b != 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_117])])).
22.33/22.51	tff(f4186,plain,(
22.33/22.51	  spl0_114 | ~spl0_103 | ~spl0_117),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4101,f4184,f4139,f4178])).
22.33/22.51	tff(f4191,plain,(
22.33/22.51	  spl0_118 <=> a = f($sum(c,d))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_118])])).
22.33/22.51	tff(f4197,plain,(
22.33/22.51	  spl0_121 <=> a != 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_121])])).
22.33/22.51	tff(f4199,plain,(
22.33/22.51	  spl0_118 | ~spl0_103 | ~spl0_121),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4099,f4197,f4139,f4191])).
22.33/22.51	tff(f4204,plain,(
22.33/22.51	  spl0_122 <=> f($sum(c,d)) = f($sum(a,$sum(b,$sum(c,d))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_122])])).
22.33/22.51	tff(f4210,plain,(
22.33/22.51	  spl0_125 <=> f($sum(a,$sum(b,$sum(c,d)))) != 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_125])])).
22.33/22.51	tff(f4212,plain,(
22.33/22.51	  spl0_122 | ~spl0_103 | ~spl0_125),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4097,f4210,f4139,f4204])).
22.33/22.51	tff(f4256,plain,(
22.33/22.51	  $sum($uminus($sum(f($sum(c,d)),2.0)),f($sum(c,d))) = $sum($uminus(2.0),$sum($uminus(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f669])).
22.33/22.51	tff(f4265,plain,(
22.33/22.51	  $sum($uminus($sum(f($sum(c,d)),4.0)),f($sum(c,d))) = $sum($uminus(4.0),$sum($uminus(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f669])).
22.33/22.51	tff(f4266,plain,(
22.33/22.51	  $sum($uminus($sum(f($sum(c,d)),1.0)),f($sum(c,d))) = $sum($uminus(1.0),$sum($uminus(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f669])).
22.33/22.51	tff(f4348,plain,(
22.33/22.51	  $sum($uminus($sum(f($sum(c,d)),1.0)),f($sum(c,d))) = $sum(-1.0,$sum($uminus(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(evaluation,[],[f4266])).
22.33/22.51	tff(f4349,plain,(
22.33/22.51	  $sum($uminus($sum(f($sum(c,d)),4.0)),f($sum(c,d))) = $sum(-4.0,$sum($uminus(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(evaluation,[],[f4265])).
22.33/22.51	tff(f4350,plain,(
22.33/22.51	  $sum($uminus($sum(f($sum(c,d)),2.0)),f($sum(c,d))) = $sum(-2.0,$sum($uminus(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(evaluation,[],[f4256])).
22.33/22.51	tff(f4394,plain,(
22.33/22.51	  $sum(-2.0,0.0) = $sum($uminus($sum(f($sum(c,d)),2.0)),f($sum(c,d)))),
22.33/22.51	  inference(forward_demodulation,[],[f4350,f131])).
22.33/22.51	tff(f4395,plain,(
22.33/22.51	  $sum($uminus($sum(f($sum(c,d)),2.0)),f($sum(c,d))) = -2.0),
22.33/22.51	  inference(evaluation,[],[f4394])).
22.33/22.51	tff(f4396,plain,(
22.33/22.51	  $sum($uminus($sum(2.0,f($sum(c,d)))),f($sum(c,d))) = -2.0),
22.33/22.51	  inference(forward_demodulation,[],[f4395,f1920])).
22.33/22.51	tff(f4397,plain,(
22.33/22.51	  $sum($sum(-2.0,$uminus(f($sum(c,d)))),f($sum(c,d))) = -2.0 | ~spl0_16),
22.33/22.51	  inference(forward_demodulation,[],[f4396,f488])).
22.33/22.51	tff(f4402,plain,(
22.33/22.51	  spl0_126 <=> $sum($sum(-2.0,$uminus(f($sum(c,d)))),f($sum(c,d))) = -2.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_126])])).
22.33/22.51	tff(f4404,plain,(
22.33/22.51	  spl0_126 | ~spl0_16),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4397,f487,f4402])).
22.33/22.51	tff(f4405,plain,(
22.33/22.51	  $sum(-4.0,0.0) = $sum($uminus($sum(f($sum(c,d)),4.0)),f($sum(c,d)))),
22.33/22.51	  inference(forward_demodulation,[],[f4349,f131])).
22.33/22.51	tff(f4406,plain,(
22.33/22.51	  $sum($uminus($sum(f($sum(c,d)),4.0)),f($sum(c,d))) = -4.0),
22.33/22.51	  inference(evaluation,[],[f4405])).
22.33/22.51	tff(f4407,plain,(
22.33/22.51	  $sum($uminus($sum(4.0,f($sum(c,d)))),f($sum(c,d))) = -4.0),
22.33/22.51	  inference(forward_demodulation,[],[f4406,f1920])).
22.33/22.51	tff(f4408,plain,(
22.33/22.51	  $sum($sum(-4.0,$uminus(f($sum(c,d)))),f($sum(c,d))) = -4.0 | ~spl0_18),
22.33/22.51	  inference(forward_demodulation,[],[f4407,f496])).
22.33/22.51	tff(f4413,plain,(
22.33/22.51	  spl0_128 <=> $sum($sum(-4.0,$uminus(f($sum(c,d)))),f($sum(c,d))) = -4.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_128])])).
22.33/22.51	tff(f4415,plain,(
22.33/22.51	  spl0_128 | ~spl0_18),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4408,f495,f4413])).
22.33/22.51	tff(f4416,plain,(
22.33/22.51	  $sum(-1.0,0.0) = $sum($uminus($sum(f($sum(c,d)),1.0)),f($sum(c,d)))),
22.33/22.51	  inference(forward_demodulation,[],[f4348,f131])).
22.33/22.51	tff(f4417,plain,(
22.33/22.51	  $sum($uminus($sum(f($sum(c,d)),1.0)),f($sum(c,d))) = -1.0),
22.33/22.51	  inference(evaluation,[],[f4416])).
22.33/22.51	tff(f4418,plain,(
22.33/22.51	  $sum($uminus($sum(1.0,f($sum(c,d)))),f($sum(c,d))) = -1.0),
22.33/22.51	  inference(forward_demodulation,[],[f4417,f1920])).
22.33/22.51	tff(f4419,plain,(
22.33/22.51	  $sum($sum(-1.0,$uminus(f($sum(c,d)))),f($sum(c,d))) = -1.0 | ~spl0_20),
22.33/22.51	  inference(forward_demodulation,[],[f4418,f504])).
22.33/22.51	tff(f4424,plain,(
22.33/22.51	  spl0_130 <=> $sum($sum(-1.0,$uminus(f($sum(c,d)))),f($sum(c,d))) = -1.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_130])])).
22.33/22.51	tff(f4426,plain,(
22.33/22.51	  spl0_130 | ~spl0_20),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4419,f503,f4424])).
22.33/22.51	tff(f4453,plain,(
22.33/22.51	  ( ! [X2:$real,X0:$real,X1:$real] : ($product(f(X2),f($sum(X1,X0))) = $product(f($sum(X2,X0)),f(X1))) )),
22.33/22.51	  inference(superposition,[],[f752,f597])).
22.33/22.51	tff(f4555,plain,(
22.33/22.51	  ( ! [X2:$real,X0:$real,X1:$real] : (f($sum($sum(X2,X0),X1)) = $product(f(X2),f($sum(X1,X0)))) )),
22.33/22.51	  inference(forward_demodulation,[],[f4453,f30])).
22.33/22.51	tff(f4556,plain,(
22.33/22.51	  ( ! [X2:$real,X0:$real,X1:$real] : (f($sum(X2,$sum(X1,X0))) = f($sum($sum(X2,X0),X1))) )),
22.33/22.51	  inference(forward_demodulation,[],[f4555,f30])).
22.33/22.51	tff(f4557,plain,(
22.33/22.51	  ( ! [X2:$real,X0:$real,X1:$real] : (f($sum(X2,$sum(X0,X1))) = f($sum(X2,$sum(X1,X0)))) )),
22.33/22.51	  inference(forward_demodulation,[],[f4556,f10])).
22.33/22.51	tff(f4585,plain,(
22.33/22.51	  ( ! [X30:$real] : (f(2.0) != X30 | f(0.0) != X30 | f(0.0) = 0.0 | f(2.0) = 1.0) ) | ~spl0_28),
22.33/22.51	  inference(superposition,[],[f975,f640])).
22.33/22.51	tff(f4586,plain,(
22.33/22.51	  ( ! [X31:$real] : (f(4.0) != X31 | f(0.0) != X31 | f(0.0) = 0.0 | f(4.0) = 1.0) ) | ~spl0_30),
22.33/22.51	  inference(superposition,[],[f975,f647])).
22.33/22.51	tff(f4587,plain,(
22.33/22.51	  ( ! [X32:$real] : (f(0.0) != X32 | f(0.0) != X32 | f(0.0) = 0.0 | f(0.0) = 1.0) ) | ~spl0_34),
22.33/22.51	  inference(superposition,[],[f975,f661])).
22.33/22.51	tff(f4588,plain,(
22.33/22.51	  ( ! [X33:$real] : (f(1.0) != X33 | f(0.0) != X33 | f(0.0) = 0.0 | f(1.0) = 1.0) ) | ~spl0_32),
22.33/22.51	  inference(superposition,[],[f975,f654])).
22.33/22.51	tff(f4603,plain,(
22.33/22.51	  f($sum(c,d)) != $product(2.0,f($sum(c,d))) | f($sum(c,d)) != 2.0 | 2.0 = 0.0 | f($sum(c,d)) = 1.0),
22.33/22.51	  inference(Instantiation,[],[f975])).
22.33/22.51	tff(f4612,plain,(
22.33/22.51	  f($sum(c,d)) != $product(4.0,f($sum(c,d))) | f($sum(c,d)) != 4.0 | 4.0 = 0.0 | f($sum(c,d)) = 1.0),
22.33/22.51	  inference(Instantiation,[],[f975])).
22.33/22.51	tff(f4645,plain,(
22.33/22.51	  f($sum(c,d)) != $product(4.0,f($sum(c,d))) | f($sum(c,d)) != 4.0 | f($sum(c,d)) = 1.0),
22.33/22.51	  inference(evaluation,[],[f4612])).
22.33/22.51	tff(f4646,plain,(
22.33/22.51	  f($sum(c,d)) != $product(2.0,f($sum(c,d))) | f($sum(c,d)) != 2.0 | f($sum(c,d)) = 1.0),
22.33/22.51	  inference(evaluation,[],[f4603])).
22.33/22.51	tff(f4652,plain,(
22.33/22.51	  ( ! [X32:$real] : (f(0.0) != X32 | f(0.0) = 0.0 | f(0.0) = 1.0) ) | ~spl0_34),
22.33/22.51	  inference(duplicate_literal_removal,[],[f4587])).
22.33/22.51	tff(f4658,plain,(
22.33/22.51	  ( ! [X30:$real] : (f(2.0) != X30 | f(0.0) != X30 | f(2.0) = 1.0) ) | (~spl0_28 | ~spl0_55)),
22.33/22.51	  inference(subsumption_resolution,[],[f4585,f1480])).
22.33/22.51	tff(f4663,plain,(
22.33/22.51	  spl0_132 <=> f(2.0) = 1.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_132])])).
22.33/22.51	tff(f4666,plain,(
22.33/22.51	  spl0_134 <=> ! [X30 : $real] : (f(2.0) != X30 | f(0.0) != X30)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_134])])).
22.33/22.51	tff(f4668,plain,(
22.33/22.51	  spl0_132 | spl0_134 | ~spl0_28 | spl0_55),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4658,f1479,f639,f4666,f4663])).
22.33/22.51	tff(f4669,plain,(
22.33/22.51	  ( ! [X31:$real] : (f(4.0) != X31 | f(0.0) != X31 | f(4.0) = 1.0) ) | (~spl0_30 | ~spl0_55)),
22.33/22.51	  inference(subsumption_resolution,[],[f4586,f1480])).
22.33/22.51	tff(f4674,plain,(
22.33/22.51	  spl0_136 <=> f(4.0) = 1.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_136])])).
22.33/22.51	tff(f4677,plain,(
22.33/22.51	  spl0_138 <=> ! [X31 : $real] : (f(4.0) != X31 | f(0.0) != X31)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_138])])).
22.33/22.51	tff(f4679,plain,(
22.33/22.51	  spl0_136 | spl0_138 | ~spl0_30 | spl0_55),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4669,f1479,f646,f4677,f4674])).
22.33/22.51	tff(f4680,plain,(
22.33/22.51	  ( ! [X32:$real] : (f(0.0) != X32 | f(0.0) = 1.0) ) | (~spl0_34 | ~spl0_55)),
22.33/22.51	  inference(subsumption_resolution,[],[f4652,f1480])).
22.33/22.51	tff(f4685,plain,(
22.33/22.51	  spl0_140 <=> f(0.0) = 1.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_140])])).
22.33/22.51	tff(f4688,plain,(
22.33/22.51	  spl0_142 <=> ! [X32 : $real] : f(0.0) != X32),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_142])])).
22.33/22.51	tff(f4690,plain,(
22.33/22.51	  spl0_140 | spl0_142 | ~spl0_34 | spl0_55),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4680,f1479,f660,f4688,f4685])).
22.33/22.51	tff(f4691,plain,(
22.33/22.51	  ( ! [X33:$real] : (f(1.0) != X33 | f(0.0) != X33 | f(1.0) = 1.0) ) | (~spl0_32 | ~spl0_55)),
22.33/22.51	  inference(subsumption_resolution,[],[f4588,f1480])).
22.33/22.51	tff(f4696,plain,(
22.33/22.51	  spl0_144 <=> f(1.0) = 1.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_144])])).
22.33/22.51	tff(f4699,plain,(
22.33/22.51	  spl0_146 <=> ! [X33 : $real] : (f(1.0) != X33 | f(0.0) != X33)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_146])])).
22.33/22.51	tff(f4701,plain,(
22.33/22.51	  spl0_144 | spl0_146 | ~spl0_32 | spl0_55),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4691,f1479,f653,f4699,f4696])).
22.33/22.51	tff(f4706,plain,(
22.33/22.51	  spl0_148 <=> f($sum(c,d)) = 1.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_148])])).
22.33/22.51	tff(f4712,plain,(
22.33/22.51	  spl0_151 <=> f($sum(c,d)) != 2.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_151])])).
22.33/22.51	tff(f4718,plain,(
22.33/22.51	  spl0_153 <=> f($sum(c,d)) != $product(2.0,f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_153])])).
22.33/22.51	tff(f4719,plain,(
22.33/22.51	  f($sum(c,d)) != $product(2.0,f($sum(c,d))) | ~spl0_153),
22.33/22.51	  inference(AVATAR_component_clause,[],[f4718])).
22.33/22.51	tff(f4720,plain,(
22.33/22.51	  spl0_148 | ~spl0_151 | ~spl0_153),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4646,f4718,f4712,f4706])).
22.33/22.51	tff(f4725,plain,(
22.33/22.51	  spl0_155 <=> f($sum(c,d)) != 4.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_155])])).
22.33/22.51	tff(f4731,plain,(
22.33/22.51	  spl0_157 <=> f($sum(c,d)) != $product(4.0,f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_157])])).
22.33/22.51	tff(f4732,plain,(
22.33/22.51	  f($sum(c,d)) != $product(4.0,f($sum(c,d))) | ~spl0_157),
22.33/22.51	  inference(AVATAR_component_clause,[],[f4731])).
22.33/22.51	tff(f4733,plain,(
22.33/22.51	  spl0_148 | ~spl0_155 | ~spl0_157),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4645,f4731,f4725,f4706])).
22.33/22.51	tff(f4740,plain,(
22.33/22.51	  spl0_144 | spl0_54 | spl0_146 | ~spl0_32),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4588,f653,f4699,f1482,f4696])).
22.33/22.51	tff(f4741,plain,(
22.33/22.51	  spl0_140 | spl0_54 | spl0_142 | ~spl0_34),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4652,f660,f4688,f1482,f4685])).
22.33/22.51	tff(f4742,plain,(
22.33/22.51	  spl0_136 | spl0_54 | spl0_138 | ~spl0_30),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4586,f646,f4677,f1482,f4674])).
22.33/22.51	tff(f4743,plain,(
22.33/22.51	  spl0_132 | spl0_54 | spl0_134 | ~spl0_28),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4585,f639,f4666,f1482,f4663])).
22.33/22.51	tff(f4745,plain,(
22.33/22.51	  spl0_158 <=> ! [X33 : $real] : (f(1.0) != $product(f(0.0),X33) | f(1.0) = X33)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_158])])).
22.33/22.51	tff(f4747,plain,(
22.33/22.51	  spl0_54 | spl0_158 | ~spl0_32),
22.33/22.51	  inference(AVATAR_split_clause,[],[f3966,f653,f4745,f1482])).
22.33/22.51	tff(f4749,plain,(
22.33/22.51	  spl0_160 <=> ! [X32 : $real] : (f(0.0) != $product(f(0.0),X32) | f(0.0) = X32)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_160])])).
22.33/22.51	tff(f4751,plain,(
22.33/22.51	  spl0_54 | spl0_160 | ~spl0_34),
22.33/22.51	  inference(AVATAR_split_clause,[],[f3965,f660,f4749,f1482])).
22.33/22.51	tff(f4753,plain,(
22.33/22.51	  spl0_162 <=> ! [X31 : $real] : (f(4.0) != $product(f(0.0),X31) | f(4.0) = X31)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_162])])).
22.33/22.51	tff(f4755,plain,(
22.33/22.51	  spl0_54 | spl0_162 | ~spl0_30),
22.33/22.51	  inference(AVATAR_split_clause,[],[f3964,f646,f4753,f1482])).
22.33/22.51	tff(f4757,plain,(
22.33/22.51	  spl0_164 <=> ! [X30 : $real] : (f(2.0) != $product(f(0.0),X30) | f(2.0) = X30)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_164])])).
22.33/22.51	tff(f4759,plain,(
22.33/22.51	  spl0_54 | spl0_164 | ~spl0_28),
22.33/22.51	  inference(AVATAR_split_clause,[],[f3963,f639,f4757,f1482])).
22.33/22.51	tff(f4760,plain,(
22.33/22.51	  spl0_54 | spl0_158 | ~spl0_32),
22.33/22.51	  inference(AVATAR_split_clause,[],[f3948,f653,f4745,f1482])).
22.33/22.51	tff(f4761,plain,(
22.33/22.51	  spl0_54 | spl0_160 | ~spl0_34),
22.33/22.51	  inference(AVATAR_split_clause,[],[f3947,f660,f4749,f1482])).
22.33/22.51	tff(f4762,plain,(
22.33/22.51	  spl0_54 | spl0_162 | ~spl0_30),
22.33/22.51	  inference(AVATAR_split_clause,[],[f3946,f646,f4753,f1482])).
22.33/22.51	tff(f4763,plain,(
22.33/22.51	  spl0_54 | spl0_164 | ~spl0_28),
22.33/22.51	  inference(AVATAR_split_clause,[],[f3945,f639,f4757,f1482])).
22.33/22.51	tff(f4765,plain,(
22.33/22.51	  spl0_166 <=> ! [X1 : $real,X0 : $real] : (f(0.0) != X0 | f(0.0) = X1 | $product(f(0.0),X1) != X0)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_166])])).
22.33/22.51	tff(f4767,plain,(
22.33/22.51	  spl0_54 | spl0_166 | ~spl0_34),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1565,f660,f4765,f1482])).
22.33/22.51	tff(f4769,plain,(
22.33/22.51	  spl0_168 <=> ! [X1 : $real,X0 : $real] : (f(1.0) != X0 | f(1.0) = X1 | $product(f(0.0),X1) != X0)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_168])])).
22.33/22.51	tff(f4771,plain,(
22.33/22.51	  spl0_54 | spl0_168 | ~spl0_32),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1555,f653,f4769,f1482])).
22.33/22.51	tff(f4773,plain,(
22.33/22.51	  spl0_170 <=> ! [X1 : $real,X0 : $real] : (f(4.0) != X0 | f(4.0) = X1 | $product(f(0.0),X1) != X0)),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_170])])).
22.33/22.51	tff(f4775,plain,(
22.33/22.51	  spl0_54 | spl0_170 | ~spl0_30),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1545,f646,f4773,f1482])).
22.33/22.51	tff(f4776,plain,(
22.33/22.51	  spl0_54 | spl0_56 | ~spl0_28),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1536,f639,f1485,f1482])).
22.33/22.51	tff(f4984,plain,(
22.33/22.51	  $sum($sum(2.0,f($sum(c,d))),$sum(-2.0,$uminus(f($sum(c,d))))) = 0.0 | ~spl0_16),
22.33/22.51	  inference(superposition,[],[f13,f488])).
22.33/22.51	tff(f4985,plain,(
22.33/22.51	  $sum(2.0,f($sum(c,d))) = $uminus($sum(-2.0,$uminus(f($sum(c,d))))) | ~spl0_16),
22.33/22.51	  inference(superposition,[],[f19,f488])).
22.33/22.51	tff(f4986,plain,(
22.33/22.51	  $sum($sum(-2.0,$uminus(f($sum(c,d)))),$sum(2.0,f($sum(c,d)))) = 0.0 | ~spl0_16),
22.33/22.51	  inference(superposition,[],[f131,f488])).
22.33/22.51	tff(f5001,plain,(
22.33/22.51	  spl0_172 <=> $sum($sum(2.0,f($sum(c,d))),$sum(-2.0,$uminus(f($sum(c,d))))) = 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_172])])).
22.33/22.51	tff(f5003,plain,(
22.33/22.51	  spl0_172 | ~spl0_16),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4984,f487,f5001])).
22.33/22.51	tff(f5008,plain,(
22.33/22.51	  spl0_174 <=> $sum(2.0,f($sum(c,d))) = $uminus($sum(-2.0,$uminus(f($sum(c,d)))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_174])])).
22.33/22.51	tff(f5010,plain,(
22.33/22.51	  spl0_174 | ~spl0_16),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4985,f487,f5008])).
22.33/22.51	tff(f5015,plain,(
22.33/22.51	  spl0_176 <=> $sum($sum(-2.0,$uminus(f($sum(c,d)))),$sum(2.0,f($sum(c,d)))) = 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_176])])).
22.33/22.51	tff(f5017,plain,(
22.33/22.51	  spl0_176 | ~spl0_16),
22.33/22.51	  inference(AVATAR_split_clause,[],[f4986,f487,f5015])).
22.33/22.51	tff(f5034,plain,(
22.33/22.51	  $sum($sum(4.0,f($sum(c,d))),$sum(-4.0,$uminus(f($sum(c,d))))) = 0.0 | ~spl0_18),
22.33/22.51	  inference(superposition,[],[f13,f496])).
22.33/22.51	tff(f5035,plain,(
22.33/22.51	  $sum(4.0,f($sum(c,d))) = $uminus($sum(-4.0,$uminus(f($sum(c,d))))) | ~spl0_18),
22.33/22.51	  inference(superposition,[],[f19,f496])).
22.33/22.51	tff(f5036,plain,(
22.33/22.51	  $sum($sum(-4.0,$uminus(f($sum(c,d)))),$sum(4.0,f($sum(c,d)))) = 0.0 | ~spl0_18),
22.33/22.51	  inference(superposition,[],[f131,f496])).
22.33/22.51	tff(f5051,plain,(
22.33/22.51	  spl0_178 <=> $sum($sum(4.0,f($sum(c,d))),$sum(-4.0,$uminus(f($sum(c,d))))) = 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_178])])).
22.33/22.51	tff(f5053,plain,(
22.33/22.51	  spl0_178 | ~spl0_18),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5034,f495,f5051])).
22.33/22.51	tff(f5058,plain,(
22.33/22.51	  spl0_180 <=> $sum(4.0,f($sum(c,d))) = $uminus($sum(-4.0,$uminus(f($sum(c,d)))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_180])])).
22.33/22.51	tff(f5060,plain,(
22.33/22.51	  spl0_180 | ~spl0_18),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5035,f495,f5058])).
22.33/22.51	tff(f5065,plain,(
22.33/22.51	  spl0_182 <=> $sum($sum(-4.0,$uminus(f($sum(c,d)))),$sum(4.0,f($sum(c,d)))) = 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_182])])).
22.33/22.51	tff(f5067,plain,(
22.33/22.51	  spl0_182 | ~spl0_18),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5036,f495,f5065])).
22.33/22.51	tff(f5084,plain,(
22.33/22.51	  $sum($sum(1.0,f($sum(c,d))),$sum(-1.0,$uminus(f($sum(c,d))))) = 0.0 | ~spl0_20),
22.33/22.51	  inference(superposition,[],[f13,f504])).
22.33/22.51	tff(f5085,plain,(
22.33/22.51	  $sum(1.0,f($sum(c,d))) = $uminus($sum(-1.0,$uminus(f($sum(c,d))))) | ~spl0_20),
22.33/22.51	  inference(superposition,[],[f19,f504])).
22.33/22.51	tff(f5086,plain,(
22.33/22.51	  $sum($sum(-1.0,$uminus(f($sum(c,d)))),$sum(1.0,f($sum(c,d)))) = 0.0 | ~spl0_20),
22.33/22.51	  inference(superposition,[],[f131,f504])).
22.33/22.51	tff(f5101,plain,(
22.33/22.51	  spl0_184 <=> $sum($sum(1.0,f($sum(c,d))),$sum(-1.0,$uminus(f($sum(c,d))))) = 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_184])])).
22.33/22.51	tff(f5103,plain,(
22.33/22.51	  spl0_184 | ~spl0_20),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5084,f503,f5101])).
22.33/22.51	tff(f5108,plain,(
22.33/22.51	  spl0_186 <=> $sum(1.0,f($sum(c,d))) = $uminus($sum(-1.0,$uminus(f($sum(c,d)))))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_186])])).
22.33/22.51	tff(f5110,plain,(
22.33/22.51	  spl0_186 | ~spl0_20),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5085,f503,f5108])).
22.33/22.51	tff(f5115,plain,(
22.33/22.51	  spl0_188 <=> $sum($sum(-1.0,$uminus(f($sum(c,d)))),$sum(1.0,f($sum(c,d)))) = 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_188])])).
22.33/22.51	tff(f5117,plain,(
22.33/22.51	  spl0_188 | ~spl0_20),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5086,f503,f5115])).
22.33/22.51	tff(f5168,plain,(
22.33/22.51	  $sum(a,b) != $product(f($sum(c,d)),f($sum(c,d))) | $sum(a,b) != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0 | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(Instantiation,[],[f977])).
22.33/22.51	tff(f5169,plain,(
22.33/22.51	  f($sum(a,b)) != $product(f($sum(c,d)),f($sum(c,d))) | f($sum(a,b)) != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0 | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(Instantiation,[],[f977])).
22.33/22.51	tff(f5171,plain,(
22.33/22.51	  d != $product(f($sum(c,d)),f($sum(c,d))) | d != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0 | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(Instantiation,[],[f977])).
22.33/22.51	tff(f5172,plain,(
22.33/22.51	  c != $product(f($sum(c,d)),f($sum(c,d))) | c != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0 | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(Instantiation,[],[f977])).
22.33/22.51	tff(f5173,plain,(
22.33/22.51	  $sum(c,d) != $product(f($sum(c,d)),f($sum(c,d))) | $sum(c,d) != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0 | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(Instantiation,[],[f977])).
22.33/22.51	tff(f5174,plain,(
22.33/22.51	  b != $product(f($sum(c,d)),f($sum(c,d))) | b != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0 | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(Instantiation,[],[f977])).
22.33/22.51	tff(f5175,plain,(
22.33/22.51	  $sum(b,$sum(c,d)) != $product(f($sum(c,d)),f($sum(c,d))) | $sum(b,$sum(c,d)) != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0 | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(Instantiation,[],[f977])).
22.33/22.51	tff(f5176,plain,(
22.33/22.51	  a != $product(f($sum(c,d)),f($sum(c,d))) | a != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0 | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(Instantiation,[],[f977])).
22.33/22.51	tff(f5177,plain,(
22.33/22.51	  $sum(a,$sum(b,$sum(c,d))) != $product(f($sum(c,d)),f($sum(c,d))) | $sum(a,$sum(b,$sum(c,d))) != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0 | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(Instantiation,[],[f977])).
22.33/22.51	tff(f5178,plain,(
22.33/22.51	  f($sum(a,$sum(b,$sum(c,d)))) != $product(f($sum(c,d)),f($sum(c,d))) | f($sum(a,$sum(b,$sum(c,d)))) != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0 | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(Instantiation,[],[f977])).
22.33/22.51	tff(f5181,plain,(
22.33/22.51	  $product(f($sum(c,d)),f($sum(c,d))) != 0.0 | $product(0.0,f($sum(c,d))) != 0.0 | f($sum(c,d)) = 0.0 | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(Instantiation,[],[f977])).
22.33/22.51	tff(f5182,plain,(
22.33/22.51	  $product(f($sum(c,d)),f($sum(c,d))) != 0.0 | $product(0.0,f($sum(c,d))) != 0.0 | f($sum(c,d)) = 0.0 | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(Instantiation,[],[f977])).
22.33/22.51	tff(f5216,plain,(
22.33/22.51	  $product(f($sum(c,d)),f($sum(c,d))) != 0.0 | $product(0.0,f($sum(c,d))) != 0.0 | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(duplicate_literal_removal,[],[f5182])).
22.33/22.51	tff(f5217,plain,(
22.33/22.51	  $product(f($sum(c,d)),f($sum(c,d))) != 0.0 | $product(0.0,f($sum(c,d))) != 0.0 | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(duplicate_literal_removal,[],[f5181])).
22.33/22.51	tff(f5220,plain,(
22.33/22.51	  f($sum(a,$sum(b,$sum(c,d)))) != $product(f($sum(c,d)),f($sum(c,d))) | f($sum(a,$sum(b,$sum(c,d)))) != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(duplicate_literal_removal,[],[f5178])).
22.33/22.51	tff(f5221,plain,(
22.33/22.51	  $sum(a,$sum(b,$sum(c,d))) != $product(f($sum(c,d)),f($sum(c,d))) | $sum(a,$sum(b,$sum(c,d))) != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(duplicate_literal_removal,[],[f5177])).
22.33/22.51	tff(f5222,plain,(
22.33/22.51	  a != $product(f($sum(c,d)),f($sum(c,d))) | a != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(duplicate_literal_removal,[],[f5176])).
22.33/22.51	tff(f5223,plain,(
22.33/22.51	  $sum(b,$sum(c,d)) != $product(f($sum(c,d)),f($sum(c,d))) | $sum(b,$sum(c,d)) != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(duplicate_literal_removal,[],[f5175])).
22.33/22.51	tff(f5224,plain,(
22.33/22.51	  b != $product(f($sum(c,d)),f($sum(c,d))) | b != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(duplicate_literal_removal,[],[f5174])).
22.33/22.51	tff(f5225,plain,(
22.33/22.51	  $sum(c,d) != $product(f($sum(c,d)),f($sum(c,d))) | $sum(c,d) != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(duplicate_literal_removal,[],[f5173])).
22.33/22.51	tff(f5226,plain,(
22.33/22.51	  c != $product(f($sum(c,d)),f($sum(c,d))) | c != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(duplicate_literal_removal,[],[f5172])).
22.33/22.51	tff(f5227,plain,(
22.33/22.51	  d != $product(f($sum(c,d)),f($sum(c,d))) | d != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(duplicate_literal_removal,[],[f5171])).
22.33/22.51	tff(f5229,plain,(
22.33/22.51	  f($sum(a,b)) != $product(f($sum(c,d)),f($sum(c,d))) | f($sum(a,b)) != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(duplicate_literal_removal,[],[f5169])).
22.33/22.51	tff(f5230,plain,(
22.33/22.51	  $sum(a,b) != $product(f($sum(c,d)),f($sum(c,d))) | $sum(a,b) != $product(0.0,f($sum(c,d))) | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(duplicate_literal_removal,[],[f5168])).
22.33/22.51	tff(f5242,plain,(
22.33/22.51	  $sum(a,b) != $product(f($sum(c,d)),f($sum(c,d))) | $sum(a,b) != $product(0.0,f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(subsumption_resolution,[],[f5230,f4140])).
22.33/22.51	tff(f5243,plain,(
22.33/22.51	  $sum(a,b) != 0.0 | $sum(a,b) != $product(f($sum(c,d)),f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(forward_demodulation,[],[f5242,f207])).
22.33/22.51	tff(f5248,plain,(
22.33/22.51	  spl0_191 <=> $sum(a,b) != $product(f($sum(c,d)),f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_191])])).
22.33/22.51	tff(f5254,plain,(
22.33/22.51	  spl0_193 <=> $sum(a,b) != 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_193])])).
22.33/22.51	tff(f5256,plain,(
22.33/22.51	  ~spl0_191 | ~spl0_193 | spl0_103),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5243,f4139,f5254,f5248])).
22.33/22.51	tff(f5257,plain,(
22.33/22.51	  f($sum(a,b)) != $product(f($sum(c,d)),f($sum(c,d))) | f($sum(a,b)) != $product(0.0,f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(subsumption_resolution,[],[f5229,f4140])).
22.33/22.51	tff(f5258,plain,(
22.33/22.51	  f($sum(a,b)) != 0.0 | f($sum(a,b)) != $product(f($sum(c,d)),f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(forward_demodulation,[],[f5257,f207])).
22.33/22.51	tff(f5263,plain,(
22.33/22.51	  spl0_195 <=> f($sum(a,b)) != $product(f($sum(c,d)),f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_195])])).
22.33/22.51	tff(f5264,plain,(
22.33/22.51	  f($sum(a,b)) != $product(f($sum(c,d)),f($sum(c,d))) | ~spl0_195),
22.33/22.51	  inference(AVATAR_component_clause,[],[f5263])).
22.33/22.51	tff(f5265,plain,(
22.33/22.51	  ~spl0_195 | ~spl0_105 | spl0_103),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5258,f4139,f4145,f5263])).
22.33/22.51	tff(f5268,plain,(
22.33/22.51	  d != $product(f($sum(c,d)),f($sum(c,d))) | d != $product(0.0,f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(subsumption_resolution,[],[f5227,f4140])).
22.33/22.51	tff(f5269,plain,(
22.33/22.51	  d != 0.0 | d != $product(f($sum(c,d)),f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(forward_demodulation,[],[f5268,f207])).
22.33/22.51	tff(f5274,plain,(
22.33/22.51	  spl0_197 <=> d != $product(f($sum(c,d)),f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_197])])).
22.33/22.51	tff(f5276,plain,(
22.33/22.51	  ~spl0_197 | ~spl0_109 | spl0_103),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5269,f4139,f4158,f5274])).
22.33/22.51	tff(f5277,plain,(
22.33/22.51	  c != $product(f($sum(c,d)),f($sum(c,d))) | c != $product(0.0,f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(subsumption_resolution,[],[f5226,f4140])).
22.33/22.51	tff(f5278,plain,(
22.33/22.51	  c != 0.0 | c != $product(f($sum(c,d)),f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(forward_demodulation,[],[f5277,f207])).
22.33/22.51	tff(f5283,plain,(
22.33/22.51	  spl0_199 <=> c != $product(f($sum(c,d)),f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_199])])).
22.33/22.51	tff(f5285,plain,(
22.33/22.51	  ~spl0_199 | ~spl0_113 | spl0_103),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5278,f4139,f4171,f5283])).
22.33/22.51	tff(f5286,plain,(
22.33/22.51	  $sum(c,d) != $product(f($sum(c,d)),f($sum(c,d))) | $sum(c,d) != $product(0.0,f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(subsumption_resolution,[],[f5225,f4140])).
22.33/22.51	tff(f5287,plain,(
22.33/22.51	  $sum(c,d) != 0.0 | $sum(c,d) != $product(f($sum(c,d)),f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(forward_demodulation,[],[f5286,f207])).
22.33/22.51	tff(f5292,plain,(
22.33/22.51	  spl0_201 <=> $sum(c,d) != $product(f($sum(c,d)),f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_201])])).
22.33/22.51	tff(f5298,plain,(
22.33/22.51	  spl0_203 <=> $sum(c,d) != 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_203])])).
22.33/22.51	tff(f5300,plain,(
22.33/22.51	  ~spl0_201 | ~spl0_203 | spl0_103),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5287,f4139,f5298,f5292])).
22.33/22.51	tff(f5301,plain,(
22.33/22.51	  b != $product(f($sum(c,d)),f($sum(c,d))) | b != $product(0.0,f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(subsumption_resolution,[],[f5224,f4140])).
22.33/22.51	tff(f5302,plain,(
22.33/22.51	  b != 0.0 | b != $product(f($sum(c,d)),f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(forward_demodulation,[],[f5301,f207])).
22.33/22.51	tff(f5307,plain,(
22.33/22.51	  spl0_205 <=> b != $product(f($sum(c,d)),f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_205])])).
22.33/22.51	tff(f5309,plain,(
22.33/22.51	  ~spl0_205 | ~spl0_117 | spl0_103),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5302,f4139,f4184,f5307])).
22.33/22.51	tff(f5310,plain,(
22.33/22.51	  $sum(b,$sum(c,d)) != $product(f($sum(c,d)),f($sum(c,d))) | $sum(b,$sum(c,d)) != $product(0.0,f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(subsumption_resolution,[],[f5223,f4140])).
22.33/22.51	tff(f5311,plain,(
22.33/22.51	  $sum(b,$sum(c,d)) != 0.0 | $sum(b,$sum(c,d)) != $product(f($sum(c,d)),f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(forward_demodulation,[],[f5310,f207])).
22.33/22.51	tff(f5316,plain,(
22.33/22.51	  spl0_207 <=> $sum(b,$sum(c,d)) != $product(f($sum(c,d)),f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_207])])).
22.33/22.51	tff(f5322,plain,(
22.33/22.51	  spl0_209 <=> $sum(b,$sum(c,d)) != 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_209])])).
22.33/22.51	tff(f5324,plain,(
22.33/22.51	  ~spl0_207 | ~spl0_209 | spl0_103),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5311,f4139,f5322,f5316])).
22.33/22.51	tff(f5325,plain,(
22.33/22.51	  a != $product(f($sum(c,d)),f($sum(c,d))) | a != $product(0.0,f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(subsumption_resolution,[],[f5222,f4140])).
22.33/22.51	tff(f5326,plain,(
22.33/22.51	  a != 0.0 | a != $product(f($sum(c,d)),f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(forward_demodulation,[],[f5325,f207])).
22.33/22.51	tff(f5331,plain,(
22.33/22.51	  spl0_211 <=> a != $product(f($sum(c,d)),f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_211])])).
22.33/22.51	tff(f5333,plain,(
22.33/22.51	  ~spl0_211 | ~spl0_121 | spl0_103),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5326,f4139,f4197,f5331])).
22.33/22.51	tff(f5334,plain,(
22.33/22.51	  $sum(a,$sum(b,$sum(c,d))) != $product(f($sum(c,d)),f($sum(c,d))) | $sum(a,$sum(b,$sum(c,d))) != $product(0.0,f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(subsumption_resolution,[],[f5221,f4140])).
22.33/22.51	tff(f5335,plain,(
22.33/22.51	  $sum(a,$sum(b,$sum(c,d))) != 0.0 | $sum(a,$sum(b,$sum(c,d))) != $product(f($sum(c,d)),f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(forward_demodulation,[],[f5334,f207])).
22.33/22.51	tff(f5340,plain,(
22.33/22.51	  spl0_213 <=> $sum(a,$sum(b,$sum(c,d))) != $product(f($sum(c,d)),f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_213])])).
22.33/22.51	tff(f5346,plain,(
22.33/22.51	  spl0_215 <=> $sum(a,$sum(b,$sum(c,d))) != 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_215])])).
22.33/22.51	tff(f5348,plain,(
22.33/22.51	  ~spl0_213 | ~spl0_215 | spl0_103),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5335,f4139,f5346,f5340])).
22.33/22.51	tff(f5349,plain,(
22.33/22.51	  f($sum(a,$sum(b,$sum(c,d)))) != $product(f($sum(c,d)),f($sum(c,d))) | f($sum(a,$sum(b,$sum(c,d)))) != $product(0.0,f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(subsumption_resolution,[],[f5220,f4140])).
22.33/22.51	tff(f5350,plain,(
22.33/22.51	  f($sum(a,$sum(b,$sum(c,d)))) != 0.0 | f($sum(a,$sum(b,$sum(c,d)))) != $product(f($sum(c,d)),f($sum(c,d))) | ~spl0_103),
22.33/22.51	  inference(forward_demodulation,[],[f5349,f207])).
22.33/22.51	tff(f5355,plain,(
22.33/22.51	  spl0_217 <=> f($sum(a,$sum(b,$sum(c,d)))) != $product(f($sum(c,d)),f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_217])])).
22.33/22.51	tff(f5356,plain,(
22.33/22.51	  f($sum(a,$sum(b,$sum(c,d)))) != $product(f($sum(c,d)),f($sum(c,d))) | ~spl0_217),
22.33/22.51	  inference(AVATAR_component_clause,[],[f5355])).
22.33/22.51	tff(f5357,plain,(
22.33/22.51	  ~spl0_217 | ~spl0_125 | spl0_103),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5350,f4139,f4210,f5355])).
22.33/22.51	tff(f5362,plain,(
22.33/22.51	  $product(f($sum(c,d)),f($sum(c,d))) != 0.0 | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(subsumption_resolution,[],[f5217,f207])).
22.33/22.51	tff(f5363,plain,(
22.33/22.51	  $product(f($sum(c,d)),f($sum(c,d))) != 0.0 | ~spl0_103),
22.33/22.51	  inference(subsumption_resolution,[],[f5362,f4140])).
22.33/22.51	tff(f5368,plain,(
22.33/22.51	  spl0_219 <=> $product(f($sum(c,d)),f($sum(c,d))) != 0.0),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_219])])).
22.33/22.51	tff(f5369,plain,(
22.33/22.51	  $product(f($sum(c,d)),f($sum(c,d))) != 0.0 | ~spl0_219),
22.33/22.51	  inference(AVATAR_component_clause,[],[f5368])).
22.33/22.51	tff(f5370,plain,(
22.33/22.51	  ~spl0_219 | spl0_103),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5363,f4139,f5368])).
22.33/22.51	tff(f5371,plain,(
22.33/22.51	  $product(f($sum(c,d)),f($sum(c,d))) != 0.0 | f($sum(c,d)) = 0.0),
22.33/22.51	  inference(subsumption_resolution,[],[f5216,f207])).
22.33/22.51	tff(f5372,plain,(
22.33/22.51	  $product(f($sum(c,d)),f($sum(c,d))) != 0.0 | ~spl0_103),
22.33/22.51	  inference(subsumption_resolution,[],[f5371,f4140])).
22.33/22.51	tff(f5373,plain,(
22.33/22.51	  ~spl0_219 | spl0_103),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5372,f4139,f5368])).
22.33/22.51	tff(f5374,plain,(
22.33/22.51	  spl0_6 | spl0_8),
22.33/22.51	  inference(AVATAR_split_clause,[],[f3190,f304,f298])).
22.33/22.51	tff(f5375,plain,(
22.33/22.51	  spl0_6 | spl0_8),
22.33/22.51	  inference(AVATAR_split_clause,[],[f1466,f304,f298])).
22.33/22.51	tff(f5377,plain,(
22.33/22.51	  ~$less(5.0,f($sum(c,d))) | ~spl0_8),
22.33/22.51	  inference(resolution,[],[f305,f320])).
22.33/22.51	tff(f5383,plain,(
22.33/22.51	  spl0_221 <=> ~$less(5.0,f($sum(c,d)))),
22.33/22.51	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_221])])).
22.33/22.51	tff(f5385,plain,(
22.33/22.51	  ~spl0_221 | ~spl0_8),
22.33/22.51	  inference(AVATAR_split_clause,[],[f5377,f304,f5383])).
22.33/22.51	tff(f5402,plain,(
22.33/22.51	  ( ! [X56:$real,X55:$real] : ($sum(f(X55),$product(f(0.0),X56)) = $product(f(0.0),$sum(f(X55),X56))) )),
22.33/22.51	  inference(superposition,[],[f850,f151])).
22.33/22.51	tff(f5417,plain,(
22.33/22.51	  ( ! [X28:$real,X29:$real] : ($sum(f($sum(X28,X29)),0.0) = $product(f(X28),$sum(f(X29),0.0))) )),
22.33/22.51	  inference(superposition,[],[f850,f23])).
22.33/22.51	tff(f5421,plain,(
22.33/22.51	  ( ! [X0:$real] : ($less($sum(2.0,$product(f(a),X0)),$product(f(a),$sum(f(b),X0)))) ) | ~spl0_2),
22.33/22.51	  inference(superposition,[],[f518,f850])).
22.33/22.51	tff(f5422,plain,(
22.33/22.51	  ( ! [X1:$real] : ($less($sum(2.0,$product(f(c),X1)),$product(f(c),$sum(f(d),X1)))) ) | ~spl0_4),
22.33/22.51	  inference(superposition,[],[f519,f850])).
22.33/22.51	tff(f5432,plain,(
22.33/22.51	  $sum(f($sum(f($sum(c,d)),f($sum(c,d)))),$product(f(f($sum(c,d))),f($sum(c,d)))) = $product(f(f($sum(c,d))),$sum(f(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5433,plain,(
22.33/22.51	  $sum(f($sum($sum(a,b),f($sum(c,d)))),$product(f($sum(a,b)),f($sum(c,d)))) = $product(f($sum(a,b)),$sum(f(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5434,plain,(
22.33/22.51	  $sum(f($sum(f($sum(a,b)),f($sum(c,d)))),$product(f(f($sum(a,b))),f($sum(c,d)))) = $product(f(f($sum(a,b))),$sum(f(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5436,plain,(
22.33/22.51	  $sum(f($sum(d,f($sum(c,d)))),$product(f(d),f($sum(c,d)))) = $product(f(d),$sum(f(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5437,plain,(
22.33/22.51	  $sum(f($sum(c,f($sum(c,d)))),$product(f(c),f($sum(c,d)))) = $product(f(c),$sum(f(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5438,plain,(
22.33/22.51	  $sum(f($sum($sum(c,d),f($sum(c,d)))),$product(f($sum(c,d)),f($sum(c,d)))) = $product(f($sum(c,d)),$sum(f(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5439,plain,(
22.33/22.51	  $sum(f($sum(b,f($sum(c,d)))),$product(f(b),f($sum(c,d)))) = $product(f(b),$sum(f(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5440,plain,(
22.33/22.51	  $sum(f($sum($sum(b,$sum(c,d)),f($sum(c,d)))),$product(f($sum(b,$sum(c,d))),f($sum(c,d)))) = $product(f($sum(b,$sum(c,d))),$sum(f(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5441,plain,(
22.33/22.51	  $sum(f($sum(a,f($sum(c,d)))),$product(f(a),f($sum(c,d)))) = $product(f(a),$sum(f(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5442,plain,(
22.33/22.51	  $sum(f($sum($sum(a,$sum(b,$sum(c,d))),f($sum(c,d)))),$product(f($sum(a,$sum(b,$sum(c,d)))),f($sum(c,d)))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5443,plain,(
22.33/22.51	  $sum(f($sum(f($sum(a,$sum(b,$sum(c,d)))),f($sum(c,d)))),$product(f(f($sum(a,$sum(b,$sum(c,d))))),f($sum(c,d)))) = $product(f(f($sum(a,$sum(b,$sum(c,d))))),$sum(f(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5446,plain,(
22.33/22.51	  $sum(f($sum(0.0,f($sum(c,d)))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5447,plain,(
22.33/22.51	  $sum(f($sum(0.0,f($sum(c,d)))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(f($sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5448,plain,(
22.33/22.51	  $sum(f($sum(0.0,$sum(a,b))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(a,b)),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5449,plain,(
22.33/22.51	  $sum(f($sum(0.0,f($sum(a,b)))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(f($sum(a,b))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5451,plain,(
22.33/22.51	  $sum(f($sum(0.0,d)),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(d),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5452,plain,(
22.33/22.51	  $sum(f($sum(0.0,c)),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(c),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5453,plain,(
22.33/22.51	  $sum(f($sum(0.0,$sum(c,d))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5454,plain,(
22.33/22.51	  $sum(f($sum(0.0,b)),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(b),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5455,plain,(
22.33/22.51	  $sum(f($sum(0.0,$sum(b,$sum(c,d)))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(b,$sum(c,d))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5456,plain,(
22.33/22.51	  $sum(f($sum(0.0,a)),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(a),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5457,plain,(
22.33/22.51	  $sum(f($sum(0.0,$sum(a,$sum(b,$sum(c,d))))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(a,$sum(b,$sum(c,d)))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5458,plain,(
22.33/22.51	  $sum(f($sum(0.0,f($sum(a,$sum(b,$sum(c,d)))))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(f($sum(a,$sum(b,$sum(c,d))))),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5461,plain,(
22.33/22.51	  $sum(f($sum(0.0,0.0)),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(0.0),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5462,plain,(
22.33/22.51	  $sum(f($sum(0.0,0.0)),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(0.0),f($sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5463,plain,(
22.33/22.51	  $sum(f($sum(0.0,0.0)),$product(f(0.0),$sum(a,b))) = $product(f(0.0),$sum(f(0.0),$sum(a,b)))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5464,plain,(
22.33/22.51	  $sum(f($sum(0.0,0.0)),$product(f(0.0),f($sum(a,b)))) = $product(f(0.0),$sum(f(0.0),f($sum(a,b))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5465,plain,(
22.33/22.51	  $sum(f($sum(0.0,0.0)),$product(f(0.0),2.0)) = $product(f(0.0),$sum(f(0.0),2.0))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5466,plain,(
22.33/22.51	  $sum(f($sum(0.0,0.0)),$product(f(0.0),d)) = $product(f(0.0),$sum(f(0.0),d))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5467,plain,(
22.33/22.51	  $sum(f($sum(0.0,0.0)),$product(f(0.0),c)) = $product(f(0.0),$sum(f(0.0),c))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5468,plain,(
22.33/22.51	  $sum(f($sum(0.0,0.0)),$product(f(0.0),$sum(c,d))) = $product(f(0.0),$sum(f(0.0),$sum(c,d)))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5469,plain,(
22.33/22.51	  $sum(f($sum(0.0,0.0)),$product(f(0.0),b)) = $product(f(0.0),$sum(f(0.0),b))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5470,plain,(
22.33/22.51	  $sum(f($sum(0.0,0.0)),$product(f(0.0),$sum(b,$sum(c,d)))) = $product(f(0.0),$sum(f(0.0),$sum(b,$sum(c,d))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5471,plain,(
22.33/22.51	  $sum(f($sum(0.0,0.0)),$product(f(0.0),a)) = $product(f(0.0),$sum(f(0.0),a))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5472,plain,(
22.33/22.51	  $sum(f($sum(0.0,0.0)),$product(f(0.0),$sum(a,$sum(b,$sum(c,d))))) = $product(f(0.0),$sum(f(0.0),$sum(a,$sum(b,$sum(c,d)))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5473,plain,(
22.33/22.51	  $sum(f($sum(0.0,0.0)),$product(f(0.0),f($sum(a,$sum(b,$sum(c,d)))))) = $product(f(0.0),$sum(f(0.0),f($sum(a,$sum(b,$sum(c,d))))))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5474,plain,(
22.33/22.51	  $sum(f($sum(0.0,0.0)),$product(f(0.0),4.0)) = $product(f(0.0),$sum(f(0.0),4.0))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5475,plain,(
22.33/22.51	  $sum(f($sum(0.0,0.0)),$product(f(0.0),1.0)) = $product(f(0.0),$sum(f(0.0),1.0))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5476,plain,(
22.33/22.51	  $sum(f($sum(0.0,0.0)),$product(f(0.0),0.0)) = $product(f(0.0),$sum(f(0.0),0.0))),
22.33/22.51	  inference(Instantiation,[],[f850])).
22.33/22.51	tff(f5477,plain,(
22.33/22.51	  $sum(f(0.0),$product(f(0.0),0.0)) = $product(f(0.0),$sum(f(0.0),0.0))),
22.33/22.51	  inference(evaluation,[],[f5476])).
22.33/22.51	tff(f5478,plain,(
22.33/22.51	  $sum(f(0.0),$product(f(0.0),1.0)) = $product(f(0.0),$sum(f(0.0),1.0))),
22.33/22.51	  inference(evaluation,[],[f5475])).
22.33/22.51	tff(f5479,plain,(
22.33/22.51	  $sum(f(0.0),$product(f(0.0),4.0)) = $product(f(0.0),$sum(f(0.0),4.0))),
22.33/22.51	  inference(evaluation,[],[f5474])).
22.33/22.51	tff(f5480,plain,(
22.33/22.51	  $sum(f(0.0),$product(f(0.0),f($sum(a,$sum(b,$sum(c,d)))))) = $product(f(0.0),$sum(f(0.0),f($sum(a,$sum(b,$sum(c,d))))))),
22.33/22.51	  inference(evaluation,[],[f5473])).
22.33/22.51	tff(f5481,plain,(
22.33/22.51	  $sum(f(0.0),$product(f(0.0),$sum(a,$sum(b,$sum(c,d))))) = $product(f(0.0),$sum(f(0.0),$sum(a,$sum(b,$sum(c,d)))))),
22.33/22.51	  inference(evaluation,[],[f5472])).
22.33/22.51	tff(f5482,plain,(
22.33/22.51	  $sum(f(0.0),$product(f(0.0),a)) = $product(f(0.0),$sum(f(0.0),a))),
22.33/22.51	  inference(evaluation,[],[f5471])).
22.33/22.51	tff(f5483,plain,(
22.33/22.51	  $sum(f(0.0),$product(f(0.0),$sum(b,$sum(c,d)))) = $product(f(0.0),$sum(f(0.0),$sum(b,$sum(c,d))))),
22.33/22.51	  inference(evaluation,[],[f5470])).
22.33/22.51	tff(f5484,plain,(
22.33/22.51	  $sum(f(0.0),$product(f(0.0),b)) = $product(f(0.0),$sum(f(0.0),b))),
22.33/22.51	  inference(evaluation,[],[f5469])).
22.33/22.51	tff(f5485,plain,(
22.33/22.51	  $sum(f(0.0),$product(f(0.0),$sum(c,d))) = $product(f(0.0),$sum(f(0.0),$sum(c,d)))),
22.33/22.51	  inference(evaluation,[],[f5468])).
22.33/22.51	tff(f5486,plain,(
22.33/22.51	  $sum(f(0.0),$product(f(0.0),c)) = $product(f(0.0),$sum(f(0.0),c))),
22.33/22.51	  inference(evaluation,[],[f5467])).
22.33/22.51	tff(f5487,plain,(
22.33/22.51	  $sum(f(0.0),$product(f(0.0),d)) = $product(f(0.0),$sum(f(0.0),d))),
22.33/22.51	  inference(evaluation,[],[f5466])).
22.33/22.51	tff(f5488,plain,(
22.33/22.51	  $sum(f(0.0),$product(f(0.0),2.0)) = $product(f(0.0),$sum(f(0.0),2.0))),
22.33/22.51	  inference(evaluation,[],[f5465])).
22.33/22.51	tff(f5489,plain,(
22.33/22.51	  $sum(f(0.0),$product(f(0.0),f($sum(a,b)))) = $product(f(0.0),$sum(f(0.0),f($sum(a,b))))),
22.33/22.51	  inference(evaluation,[],[f5464])).
22.33/22.51	tff(f5490,plain,(
22.33/22.51	  $sum(f(0.0),$product(f(0.0),$sum(a,b))) = $product(f(0.0),$sum(f(0.0),$sum(a,b)))),
22.33/22.51	  inference(evaluation,[],[f5463])).
22.33/22.51	tff(f5491,plain,(
22.33/22.51	  $sum(f(0.0),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(0.0),f($sum(c,d))))),
22.33/22.51	  inference(evaluation,[],[f5462])).
22.33/22.51	tff(f5492,plain,(
22.33/22.51	  $sum(f(0.0),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(0.0),f($sum(c,d))))),
22.33/22.51	  inference(evaluation,[],[f5461])).
22.33/22.51	tff(f5500,plain,(
22.33/22.51	  ( ! [X56:$real,X55:$real] : ($sum(f(X55),$product(0.0,X56)) = $product(0.0,$sum(f(X55),X56))) ) | ~spl0_54),
22.33/22.51	  inference(forward_demodulation,[],[f5402,f1483])).
22.33/22.51	tff(f5501,plain,(
22.33/22.51	  ( ! [X56:$real,X55:$real] : ($sum(f(X55),$product(0.0,X56)) = 0.0) ) | ~spl0_54),
22.33/22.51	  inference(forward_demodulation,[],[f5500,f207])).
22.33/22.51	tff(f5502,plain,(
22.33/22.51	  ( ! [X55:$real] : ($sum(f(X55),0.0) = 0.0) ) | ~spl0_54),
22.33/22.51	  inference(forward_demodulation,[],[f5501,f207])).
22.33/22.51	tff(f5503,plain,(
22.33/22.51	  ( ! [X55:$real] : (f(X55) = $sum(0.0,0.0)) ) | ~spl0_54),
22.33/22.51	  inference(evaluation,[],[f5502])).
22.33/22.51	tff(f5504,plain,(
22.33/22.51	  ( ! [X55:$real] : (f(X55) = 0.0) ) | ~spl0_54),
22.33/22.51	  inference(evaluation,[],[f5503])).
22.33/22.51	tff(f5569,plain,(
22.33/22.51	  $less(2.0,0.0) | (~spl0_2 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f43])).
22.33/22.51	tff(f5573,plain,(
22.33/22.51	  $less($uminus(0.0),-2.0) | (~spl0_36 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f1127])).
22.33/22.51	tff(f5576,plain,(
22.33/22.51	  ~$less(0.0,2.0) | (~spl0_41 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f1342])).
22.33/22.51	tff(f5577,plain,(
22.33/22.51	  ~$less(-2.0,$uminus(0.0)) | (~spl0_49 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f1371])).
22.33/22.51	tff(f5585,plain,(
22.33/22.51	  ( ! [X16:$real] : ($less($sum(2.0,$product(0.0,X16)),$product(0.0,$sum(1.0,X16)))) ) | (~spl0_2 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f2744])).
22.33/22.51	tff(f5590,plain,(
22.33/22.51	  $product(f($sum(c,d)),f($sum(c,d))) != 0.0 | (~spl0_54 | ~spl0_195)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f5264])).
22.33/22.51	tff(f5600,plain,(
22.33/22.51	  $product(f($sum(c,d)),f($sum(c,d))) != 0.0 | (~spl0_54 | ~spl0_217)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f5356])).
22.33/22.51	tff(f5601,plain,(
22.33/22.51	  $less(2.0,0.0) | (~spl0_4 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f50])).
22.33/22.51	tff(f5603,plain,(
22.33/22.51	  $less(1.0,0.0) | (~spl0_10 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f312])).
22.33/22.51	tff(f5604,plain,(
22.33/22.51	  ~$less(0.0,2.0) | (~spl0_13 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f315])).
22.33/22.51	tff(f5605,plain,(
22.33/22.51	  $less(0.0,0.0) | (~spl0_14 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f378])).
22.33/22.51	tff(f5613,plain,(
22.33/22.51	  ( ! [X0:$real] : ($less(X0,$sum(0.0,X0))) ) | (~spl0_14 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f747])).
22.33/22.51	tff(f5616,plain,(
22.33/22.51	  $less($uminus(0.0),-2.0) | (~spl0_38 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f1175])).
22.33/22.51	tff(f5619,plain,(
22.33/22.51	  ~$less(0.0,4.0) | (~spl0_43 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f1350])).
22.33/22.51	tff(f5621,plain,(
22.33/22.51	  ~$less(0.0,1.0) | (~spl0_47 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f1364])).
22.33/22.51	tff(f5642,plain,(
22.33/22.51	  ~$less(-2.0,$uminus(0.0)) | (~spl0_54 | ~spl0_89)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f2710])).
22.33/22.51	tff(f5643,plain,(
22.33/22.51	  ( ! [X17:$real] : ($less($sum(2.0,$product(0.0,X17)),$product(0.0,$sum(1.0,X17)))) ) | (~spl0_4 | ~spl0_54)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f2745])).
22.33/22.51	tff(f5655,plain,(
22.33/22.51	  $product(2.0,0.0) != 0.0 | (~spl0_54 | ~spl0_153)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f4719])).
22.33/22.51	tff(f5656,plain,(
22.33/22.51	  $product(4.0,0.0) != 0.0 | (~spl0_54 | ~spl0_157)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f4732])).
22.33/22.51	tff(f5685,plain,(
22.33/22.51	  $product(0.0,0.0) != 0.0 | (~spl0_54 | ~spl0_219)),
22.33/22.51	  inference(backward_demodulation,[],[f5504,f5369])).
22.33/22.51	tff(f5693,plain,(
22.33/22.51	  $false | (~spl0_54 | ~spl0_219)),
22.33/22.51	  inference(evaluation,[],[f5685])).
22.33/22.51	tff(f5694,plain,(
22.33/22.51	  ~spl0_54 | spl0_219),
22.33/22.51	  inference(AVATAR_contradiction_clause,[],[f5693,f5368,f1482])).
22.33/22.51	tff(f5726,plain,(
22.33/22.51	  $false | (~spl0_54 | ~spl0_157)),
22.33/22.51	  inference(evaluation,[],[f5656])).
22.33/22.51	tff(f5727,plain,(
22.33/22.51	  ~spl0_54 | spl0_157),
22.33/22.51	  inference(AVATAR_contradiction_clause,[],[f5726,f4731,f1482])).
22.33/22.51	tff(f5728,plain,(
22.33/22.51	  $false | (~spl0_54 | ~spl0_153)),
22.33/22.51	  inference(evaluation,[],[f5655])).
22.33/22.51	tff(f5729,plain,(
22.33/22.51	  ~spl0_54 | spl0_153),
22.33/22.51	  inference(AVATAR_contradiction_clause,[],[f5728,f4718,f1482])).
22.33/22.51	tff(f5737,plain,(
22.33/22.51	  $false | (~spl0_54 | ~spl0_89)),
22.33/22.51	  inference(evaluation,[],[f5642])).
22.33/22.51	tff(f5738,plain,(
22.33/22.51	  ~spl0_54 | spl0_89),
22.33/22.51	  inference(AVATAR_contradiction_clause,[],[f5737,f2709,f1482])).
22.33/22.51	tff(f5747,plain,(
22.33/22.51	  $false | (~spl0_47 | ~spl0_54)),
22.33/22.51	  inference(evaluation,[],[f5621])).
22.33/22.51	tff(f5748,plain,(
22.33/22.51	  spl0_47 | ~spl0_54),
22.33/22.51	  inference(AVATAR_contradiction_clause,[],[f5747,f1482,f1363])).
22.33/22.51	tff(f5749,plain,(
22.33/22.51	  $false | (~spl0_43 | ~spl0_54)),
22.33/22.51	  inference(evaluation,[],[f5619])).
22.33/22.51	tff(f5750,plain,(
22.33/22.51	  spl0_43 | ~spl0_54),
22.33/22.51	  inference(AVATAR_contradiction_clause,[],[f5749,f1482,f1349])).
22.33/22.51	tff(f5751,plain,(
22.33/22.51	  $false | (~spl0_38 | ~spl0_54)),
22.33/22.51	  inference(evaluation,[],[f5616])).
22.33/22.51	tff(f5752,plain,(
22.33/22.51	  ~spl0_38 | ~spl0_54),
22.33/22.51	  inference(AVATAR_contradiction_clause,[],[f5751,f1482,f1174])).
22.33/22.51	tff(f5756,plain,(
22.33/22.51	  $false | (~spl0_14 | ~spl0_54)),
22.33/22.51	  inference(evaluation,[],[f5605])).
22.33/22.51	tff(f5757,plain,(
22.33/22.51	  ~spl0_14 | ~spl0_54),
22.33/22.51	  inference(AVATAR_contradiction_clause,[],[f5756,f1482,f377])).
22.33/22.51	tff(f5758,plain,(
22.33/22.51	  $false | (~spl0_13 | ~spl0_54)),
22.33/22.51	  inference(evaluation,[],[f5604])).
22.33/22.51	tff(f5759,plain,(
22.33/22.51	  spl0_13 | ~spl0_54),
22.33/22.51	  inference(AVATAR_contradiction_clause,[],[f5758,f1482,f314])).
22.33/22.51	tff(f5760,plain,(
22.33/22.51	  $false | (~spl0_10 | ~spl0_54)),
22.33/22.51	  inference(evaluation,[],[f5603])).
22.33/22.51	tff(f5761,plain,(
22.33/22.51	  ~spl0_10 | ~spl0_54),
22.33/22.51	  inference(AVATAR_contradiction_clause,[],[f5760,f1482,f311])).
22.33/22.51	tff(f5762,plain,(
22.33/22.51	  $false | (~spl0_4 | ~spl0_54)),
22.33/22.51	  inference(evaluation,[],[f5601])).
22.33/22.51	tff(f5763,plain,(
22.33/22.51	  ~spl0_4 | ~spl0_54),
22.33/22.51	  inference(AVATAR_contradiction_clause,[],[f5762,f1482,f49])).
22.33/22.51	tff(f5771,plain,(
22.33/22.51	  $false | (~spl0_49 | ~spl0_54)),
22.33/22.51	  inference(evaluation,[],[f5577])).
22.33/22.51	tff(f5772,plain,(
22.33/22.51	  spl0_49 | ~spl0_54),
22.33/22.51	  inference(AVATAR_contradiction_clause,[],[f5771,f1482,f1370])).
22.33/22.51	tff(f5773,plain,(
22.33/22.51	  $false | (~spl0_41 | ~spl0_54)),
22.33/22.51	  inference(evaluation,[],[f5576])).
22.33/22.51	tff(f5774,plain,(
22.33/22.51	  spl0_41 | ~spl0_54),
22.33/22.51	  inference(AVATAR_contradiction_clause,[],[f5773,f1482,f1341])).
22.33/22.51	tff(f5776,plain,(
22.33/22.51	  $false | (~spl0_36 | ~spl0_54)),
22.33/22.51	  inference(evaluation,[],[f5573])).
22.33/22.51	tff(f5777,plain,(
22.33/22.51	  ~spl0_36 | ~spl0_54),
22.33/22.51	  inference(AVATAR_contradiction_clause,[],[f5776,f1482,f1126])).
22.33/22.51	tff(f5778,plain,(
22.33/22.51	  $false | (~spl0_2 | ~spl0_54)),
22.33/22.51	  inference(evaluation,[],[f5569])).
22.33/22.51	tff(f5779,plain,(
22.33/22.51	  ~spl0_2 | ~spl0_54),
22.33/22.51	  inference(AVATAR_contradiction_clause,[],[f5778,f1482,f42])).
22.33/22.51	tff(f6000,plain,(
22.33/22.51	  ( ! [X16:$real] : ($less($sum(2.0,$product(0.0,X16)),$sum(0.0,$product(0.0,X16)))) ) | (~spl0_2 | ~spl0_54)),
22.33/22.51	  inference(forward_demodulation,[],[f5585,f846])).
22.33/22.51	tff(f6001,plain,(
22.33/22.51	  ( ! [X16:$real] : ($less($sum(2.0,$product(0.0,X16)),$product(0.0,X16))) ) | (~spl0_2 | ~spl0_54)),
22.33/22.51	  inference(forward_demodulation,[],[f6000,f151])).
22.33/22.51	tff(f6002,plain,(
22.33/22.51	  $less($sum(2.0,0.0),0.0) | (~spl0_2 | ~spl0_54)),
22.33/22.51	  inference(forward_demodulation,[],[f6001,f207])).
22.33/22.51	tff(f6003,plain,(
22.33/22.51	  $false | (~spl0_2 | ~spl0_54)),
22.33/22.51	  inference(evaluation,[],[f6002])).
22.33/22.51	tff(f6004,plain,(
22.33/22.51	  ~spl0_2 | ~spl0_54),
22.33/22.51	  inference(AVATAR_contradiction_clause,[],[f6003,f1482,f42])).
22.33/22.51	tff(f6007,plain,(
22.33/22.51	  $product(0.0,0.0) != 0.0 | (~spl0_54 | ~spl0_195)),
22.33/22.52	  inference(forward_demodulation,[],[f5590,f5504])).
22.33/22.52	tff(f6008,plain,(
22.33/22.52	  $false | (~spl0_54 | ~spl0_195)),
22.33/22.52	  inference(evaluation,[],[f6007])).
22.33/22.52	tff(f6009,plain,(
22.33/22.52	  ~spl0_54 | spl0_195),
22.33/22.52	  inference(AVATAR_contradiction_clause,[],[f6008,f5263,f1482])).
22.33/22.52	tff(f6011,plain,(
22.33/22.52	  $product(0.0,0.0) != 0.0 | (~spl0_54 | ~spl0_217)),
22.33/22.52	  inference(forward_demodulation,[],[f5600,f5504])).
22.33/22.52	tff(f6012,plain,(
22.33/22.52	  $false | (~spl0_54 | ~spl0_217)),
22.33/22.52	  inference(evaluation,[],[f6011])).
22.33/22.52	tff(f6013,plain,(
22.33/22.52	  ~spl0_54 | spl0_217),
22.33/22.52	  inference(AVATAR_contradiction_clause,[],[f6012,f5355,f1482])).
22.33/22.52	tff(f6015,plain,(
22.33/22.52	  ( ! [X0:$real] : ($less(X0,X0)) ) | (~spl0_14 | ~spl0_54)),
22.33/22.52	  inference(forward_demodulation,[],[f5613,f151])).
22.33/22.52	tff(f6016,plain,(
22.33/22.52	  $false | (~spl0_14 | ~spl0_54)),
22.33/22.52	  inference(subsumption_resolution,[],[f6015,f14])).
22.33/22.52	tff(f6017,plain,(
22.33/22.52	  ~spl0_14 | ~spl0_54),
22.33/22.52	  inference(AVATAR_contradiction_clause,[],[f6016,f1482,f377])).
22.33/22.52	tff(f6037,plain,(
22.33/22.52	  ( ! [X17:$real] : ($less($sum(2.0,$product(0.0,X17)),$sum(0.0,$product(0.0,X17)))) ) | (~spl0_4 | ~spl0_54)),
22.33/22.52	  inference(forward_demodulation,[],[f5643,f846])).
22.33/22.52	tff(f6038,plain,(
22.33/22.52	  ( ! [X17:$real] : ($less($sum(2.0,$product(0.0,X17)),$product(0.0,X17))) ) | (~spl0_4 | ~spl0_54)),
22.33/22.52	  inference(forward_demodulation,[],[f6037,f151])).
22.33/22.52	tff(f6039,plain,(
22.33/22.52	  $less($sum(2.0,0.0),0.0) | (~spl0_4 | ~spl0_54)),
22.33/22.52	  inference(forward_demodulation,[],[f6038,f207])).
22.33/22.52	tff(f6040,plain,(
22.33/22.52	  $false | (~spl0_4 | ~spl0_54)),
22.33/22.52	  inference(evaluation,[],[f6039])).
22.33/22.52	tff(f6041,plain,(
22.33/22.52	  ~spl0_4 | ~spl0_54),
22.33/22.52	  inference(AVATAR_contradiction_clause,[],[f6040,f1482,f49])).
22.33/22.52	tff(f6196,plain,(
22.33/22.52	  ( ! [X28:$real,X29:$real] : ($sum(f($sum(X28,X29)),0.0) = $product(f(X28),f(X29))) )),
22.33/22.52	  inference(forward_demodulation,[],[f5417,f11])).
22.33/22.52	tff(f6220,plain,(
22.33/22.52	  ( ! [X0:$real] : ($less($sum(2.0,$product(f(a),X0)),$product(f(a),$sum(0.0,X0)))) ) | (~spl0_2 | ~spl0_54)),
22.33/22.52	  inference(forward_demodulation,[],[f5421,f5504])).
22.33/22.52	tff(f6221,plain,(
22.33/22.52	  ( ! [X0:$real] : ($less($sum(2.0,$product(f(a),X0)),$product(f(a),X0))) ) | (~spl0_2 | ~spl0_54)),
22.33/22.52	  inference(forward_demodulation,[],[f6220,f151])).
22.33/22.52	tff(f6222,plain,(
22.33/22.52	  ( ! [X0:$real] : ($less($sum(2.0,$product(0.0,X0)),$product(0.0,X0))) ) | (~spl0_2 | ~spl0_54)),
22.33/22.52	  inference(forward_demodulation,[],[f6221,f5504])).
22.33/22.52	tff(f6223,plain,(
22.33/22.52	  $less($sum(2.0,0.0),0.0) | (~spl0_2 | ~spl0_54)),
22.33/22.52	  inference(forward_demodulation,[],[f6222,f207])).
22.33/22.52	tff(f6224,plain,(
22.33/22.52	  $false | (~spl0_2 | ~spl0_54)),
22.33/22.52	  inference(evaluation,[],[f6223])).
22.33/22.52	tff(f6225,plain,(
22.33/22.52	  ~spl0_2 | ~spl0_54),
22.33/22.52	  inference(AVATAR_contradiction_clause,[],[f6224,f1482,f42])).
22.33/22.52	tff(f6226,plain,(
22.33/22.52	  ( ! [X1:$real] : ($less($sum(2.0,$product(f(c),X1)),$product(f(c),$sum(0.0,X1)))) ) | (~spl0_4 | ~spl0_54)),
22.33/22.52	  inference(forward_demodulation,[],[f5422,f5504])).
22.33/22.52	tff(f6227,plain,(
22.33/22.52	  ( ! [X1:$real] : ($less($sum(2.0,$product(f(c),X1)),$product(f(c),X1))) ) | (~spl0_4 | ~spl0_54)),
22.33/22.52	  inference(forward_demodulation,[],[f6226,f151])).
22.33/22.52	tff(f6228,plain,(
22.33/22.52	  ( ! [X1:$real] : ($less($sum(2.0,$product(0.0,X1)),$product(0.0,X1))) ) | (~spl0_4 | ~spl0_54)),
22.33/22.52	  inference(forward_demodulation,[],[f6227,f5504])).
22.33/22.52	tff(f6229,plain,(
22.33/22.52	  $less($sum(2.0,0.0),0.0) | (~spl0_4 | ~spl0_54)),
22.33/22.52	  inference(forward_demodulation,[],[f6228,f207])).
22.33/22.52	tff(f6230,plain,(
22.33/22.52	  $false | (~spl0_4 | ~spl0_54)),
22.33/22.52	  inference(evaluation,[],[f6229])).
22.33/22.52	tff(f6231,plain,(
22.33/22.52	  ~spl0_4 | ~spl0_54),
22.33/22.52	  inference(AVATAR_contradiction_clause,[],[f6230,f1482,f49])).
22.33/22.52	tff(f6282,plain,(
22.33/22.52	  $sum(f($sum(f($sum(c,d)),f($sum(c,d)))),$product(f(f($sum(c,d))),f($sum(c,d)))) = $product(f(f($sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f5432,f3783])).
22.33/22.52	tff(f6289,plain,(
22.33/22.52	  $sum(f($sum($sum(a,b),f($sum(c,d)))),$product(f($sum(a,b)),f($sum(c,d)))) = $product(f($sum(a,b)),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f5433,f3783])).
22.33/22.52	tff(f6297,plain,(
22.33/22.52	  $sum(f($sum(f($sum(a,b)),f($sum(c,d)))),$product(f(f($sum(a,b))),f($sum(c,d)))) = $product(f(f($sum(a,b))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f5434,f3783])).
22.33/22.52	tff(f6315,plain,(
22.33/22.52	  $sum(f($sum(d,f($sum(c,d)))),$product(f(d),f($sum(c,d)))) = $product(f(d),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f5436,f3783])).
22.33/22.52	tff(f6323,plain,(
22.33/22.52	  $sum(f($sum(c,f($sum(c,d)))),$product(f(c),f($sum(c,d)))) = $product(f(c),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f5437,f3783])).
22.33/22.52	tff(f6331,plain,(
22.33/22.52	  $sum(f($sum($sum(c,d),f($sum(c,d)))),$product(f($sum(c,d)),f($sum(c,d)))) = $product(f($sum(c,d)),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f5438,f3783])).
22.33/22.52	tff(f6338,plain,(
22.33/22.52	  $sum(f($sum(b,f($sum(c,d)))),$product(f(b),f($sum(c,d)))) = $product(f(b),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f5439,f3783])).
22.33/22.52	tff(f6346,plain,(
22.33/22.52	  $sum(f($sum($sum(b,$sum(c,d)),f($sum(c,d)))),$product(f($sum(b,$sum(c,d))),f($sum(c,d)))) = $product(f($sum(b,$sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f5440,f3783])).
22.33/22.52	tff(f6354,plain,(
22.33/22.52	  $sum(f($sum(a,f($sum(c,d)))),$product(f(a),f($sum(c,d)))) = $product(f(a),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f5441,f3783])).
22.33/22.52	tff(f6362,plain,(
22.33/22.52	  $sum(f($sum($sum(a,$sum(b,$sum(c,d))),f($sum(c,d)))),$product(f($sum(a,$sum(b,$sum(c,d)))),f($sum(c,d)))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f5442,f3783])).
22.33/22.52	tff(f6370,plain,(
22.33/22.52	  $sum(f($sum(f($sum(a,$sum(b,$sum(c,d)))),f($sum(c,d)))),$product(f(f($sum(a,$sum(b,$sum(c,d))))),f($sum(c,d)))) = $product(f(f($sum(a,$sum(b,$sum(c,d))))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f5443,f3783])).
22.33/22.52	tff(f6396,plain,(
22.33/22.52	  $sum(f($sum(0.0,f($sum(c,d)))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f5446,f3783])).
22.33/22.52	tff(f6404,plain,(
22.33/22.52	  $sum(f($sum(0.0,f($sum(c,d)))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f5447,f3783])).
22.33/22.52	tff(f6419,plain,(
22.33/22.52	  $sum(f($sum(0.0,f($sum(a,b)))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f(f($sum(a,b)))))),
22.33/22.52	  inference(forward_demodulation,[],[f5449,f3783])).
22.33/22.52	tff(f6444,plain,(
22.33/22.52	  $sum(f($sum(0.0,$sum(c,d))),$product(f(0.0),f($sum(c,d)))) = $product(f($sum(c,d)),$sum(f(0.0),f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f5453,f3598])).
22.33/22.52	tff(f6445,plain,(
22.33/22.52	  $sum(f($sum(0.0,$sum(c,d))),$product(f(0.0),f($sum(c,d)))) = $product(f($sum(c,d)),$product(f(0.0),2.0))),
22.33/22.52	  inference(forward_demodulation,[],[f6444,f2801])).
22.33/22.52	tff(f6446,plain,(
22.33/22.52	  $sum(f($sum(0.0,$sum(c,d))),$product(f(0.0),f($sum(c,d)))) = $product($product(f(0.0),2.0),f($sum(c,d)))),
22.33/22.52	  inference(forward_demodulation,[],[f6445,f20])).
22.33/22.52	tff(f6447,plain,(
22.33/22.52	  $sum(f($sum(0.0,$sum(c,d))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$product(2.0,f($sum(c,d))))),
22.33/22.52	  inference(forward_demodulation,[],[f6446,f21])).
22.33/22.52	tff(f6448,plain,(
22.33/22.52	  $sum(f($sum(0.0,$sum(c,d))),$product(f(0.0),f($sum(c,d)))) = $product(2.0,$product(f($sum(c,d)),f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f6447,f756])).
22.33/22.52	tff(f6449,plain,(
22.33/22.52	  $sum(f($sum(0.0,$sum(c,d))),$product(f(0.0),f($sum(c,d)))) = $product(2.0,$product(f(0.0),f($sum(c,d))))),
22.33/22.52	  inference(forward_demodulation,[],[f6448,f20])).
22.33/22.52	tff(f6463,plain,(
22.33/22.52	  $sum(f($sum(0.0,$sum(b,$sum(c,d)))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f($sum(b,$sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f5455,f3783])).
22.33/22.52	tff(f6478,plain,(
22.33/22.52	  $sum(f($sum(0.0,$sum(a,$sum(b,$sum(c,d))))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d))))))),
22.33/22.52	  inference(forward_demodulation,[],[f5457,f3783])).
22.33/22.52	tff(f6486,plain,(
22.33/22.52	  $sum(f($sum(0.0,f($sum(a,$sum(b,$sum(c,d)))))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f(f($sum(a,$sum(b,$sum(c,d)))))))),
22.33/22.52	  inference(forward_demodulation,[],[f5458,f3783])).
22.33/22.52	tff(f6508,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),$sum(a,b))) = $product(f(0.0),$sum(b,$sum(f(0.0),a)))),
22.33/22.52	  inference(forward_demodulation,[],[f5490,f672])).
22.33/22.52	tff(f6509,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),$sum(a,b))) = $product(f(0.0),$sum(a,$sum(b,f(0.0))))),
22.33/22.52	  inference(forward_demodulation,[],[f6508,f672])).
22.33/22.52	tff(f6518,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),2.0)) = $product(f(0.0),$sum(2.0,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f5488,f9])).
22.33/22.52	tff(f6521,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),d)) = $product(f(0.0),$sum(d,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f5487,f9])).
22.33/22.52	tff(f6526,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),c)) = $product(f(0.0),$sum(c,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f5486,f9])).
22.33/22.52	tff(f6531,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),$sum(c,d))) = $product(f(0.0),$sum(d,$sum(f(0.0),c)))),
22.33/22.52	  inference(forward_demodulation,[],[f5485,f672])).
22.33/22.52	tff(f6532,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),$sum(c,d))) = $product(f(0.0),$sum(c,$sum(d,f(0.0))))),
22.33/22.52	  inference(forward_demodulation,[],[f6531,f672])).
22.33/22.52	tff(f6537,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),b)) = $product(f(0.0),$sum(b,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f5484,f9])).
22.33/22.52	tff(f6542,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),$sum(b,$sum(c,d)))) = $product(f(0.0),$sum(b,$sum($sum(c,d),f(0.0))))),
22.33/22.52	  inference(forward_demodulation,[],[f5483,f672])).
22.33/22.52	tff(f6543,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),$sum(b,$sum(c,d)))) = $product(f(0.0),$sum(b,$sum(c,$sum(d,f(0.0)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6542,f10])).
22.33/22.52	tff(f6548,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),a)) = $product(f(0.0),$sum(a,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f5482,f9])).
22.33/22.52	tff(f6553,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),$sum(a,$sum(b,$sum(c,d))))) = $product(f(0.0),$sum(a,$sum($sum(b,$sum(c,d)),f(0.0))))),
22.33/22.52	  inference(forward_demodulation,[],[f5481,f672])).
22.33/22.52	tff(f6554,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),$sum(a,$sum(b,$sum(c,d))))) = $product(f(0.0),$sum(a,$sum(b,$sum($sum(c,d),f(0.0)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6553,f10])).
22.33/22.52	tff(f6555,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),$sum(a,$sum(b,$sum(c,d))))) = $product(f(0.0),$sum(a,$sum(b,$sum(c,$sum(d,f(0.0))))))),
22.33/22.52	  inference(forward_demodulation,[],[f6554,f10])).
22.33/22.52	tff(f6564,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),4.0)) = $product(f(0.0),$sum(4.0,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f5479,f9])).
22.33/22.52	tff(f6567,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),1.0)) = $product(f(0.0),$sum(1.0,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f5478,f9])).
22.33/22.52	tff(f6570,plain,(
22.33/22.52	  $sum(f(0.0),$product(f(0.0),0.0)) = $product(f(0.0),f(0.0))),
22.33/22.52	  inference(forward_demodulation,[],[f5477,f11])).
22.33/22.52	tff(f6573,plain,(
22.33/22.52	  $sum(f(0.0),0.0) = $product(f(0.0),f(0.0))),
22.33/22.52	  inference(forward_demodulation,[],[f6570,f23])).
22.33/22.52	tff(f6574,plain,(
22.33/22.52	  f(0.0) = $product(f(0.0),f(0.0))),
22.33/22.52	  inference(forward_demodulation,[],[f6573,f11])).
22.33/22.52	tff(f6575,plain,(
22.33/22.52	  spl0_34),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6574,f660])).
22.33/22.52	tff(f6576,plain,(
22.33/22.52	  $product(f(0.0),$sum(1.0,1.0)) = $product(f(0.0),$sum(1.0,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f6567,f846])).
22.33/22.52	tff(f6577,plain,(
22.33/22.52	  $product(f(0.0),2.0) = $product(f(0.0),$sum(1.0,f(0.0)))),
22.33/22.52	  inference(evaluation,[],[f6576])).
22.33/22.52	tff(f6578,plain,(
22.33/22.52	  $product(2.0,f(0.0)) = $product(f(0.0),$sum(1.0,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f6577,f20])).
22.33/22.52	tff(f6579,plain,(
22.33/22.52	  spl0_94),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6578,f2824])).
22.33/22.52	tff(f6580,plain,(
22.33/22.52	  $product(f(0.0),$sum(1.0,4.0)) = $product(f(0.0),$sum(4.0,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f6564,f846])).
22.33/22.52	tff(f6581,plain,(
22.33/22.52	  $product(f(0.0),5.0) = $product(f(0.0),$sum(4.0,f(0.0)))),
22.33/22.52	  inference(evaluation,[],[f6580])).
22.33/22.52	tff(f6582,plain,(
22.33/22.52	  $product(5.0,f(0.0)) = $product(f(0.0),$sum(4.0,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f6581,f20])).
22.33/22.52	tff(f6587,plain,(
22.33/22.52	  spl0_222 <=> $product(5.0,f(0.0)) = $product(f(0.0),$sum(4.0,f(0.0)))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_222])])).
22.33/22.52	tff(f6589,plain,(
22.33/22.52	  spl0_222),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6582,f6587])).
22.33/22.52	tff(f6590,plain,(
22.33/22.52	  $product(f(0.0),$sum(1.0,f($sum(a,$sum(b,$sum(c,d)))))) = $product(f(0.0),$sum(f(0.0),f($sum(a,$sum(b,$sum(c,d))))))),
22.33/22.52	  inference(forward_demodulation,[],[f5480,f846])).
22.33/22.52	tff(f6595,plain,(
22.33/22.52	  spl0_224 <=> $product(f(0.0),$sum(1.0,f($sum(a,$sum(b,$sum(c,d)))))) = $product(f(0.0),$sum(f(0.0),f($sum(a,$sum(b,$sum(c,d))))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_224])])).
22.33/22.52	tff(f6597,plain,(
22.33/22.52	  spl0_224),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6590,f6595])).
22.33/22.52	tff(f6598,plain,(
22.33/22.52	  $product(f(0.0),$sum(1.0,$sum(a,$sum(b,$sum(c,d))))) = $product(f(0.0),$sum(a,$sum(b,$sum(c,$sum(d,f(0.0))))))),
22.33/22.52	  inference(forward_demodulation,[],[f6555,f846])).
22.33/22.52	tff(f6603,plain,(
22.33/22.52	  spl0_226 <=> $product(f(0.0),$sum(1.0,$sum(a,$sum(b,$sum(c,d))))) = $product(f(0.0),$sum(a,$sum(b,$sum(c,$sum(d,f(0.0))))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_226])])).
22.33/22.52	tff(f6605,plain,(
22.33/22.52	  spl0_226),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6598,f6603])).
22.33/22.52	tff(f6606,plain,(
22.33/22.52	  $product(f(0.0),$sum(1.0,a)) = $product(f(0.0),$sum(a,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f6548,f846])).
22.33/22.52	tff(f6611,plain,(
22.33/22.52	  spl0_228 <=> $product(f(0.0),$sum(1.0,a)) = $product(f(0.0),$sum(a,f(0.0)))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_228])])).
22.33/22.52	tff(f6613,plain,(
22.33/22.52	  spl0_228),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6606,f6611])).
22.33/22.52	tff(f6614,plain,(
22.33/22.52	  $product(f(0.0),$sum(1.0,$sum(b,$sum(c,d)))) = $product(f(0.0),$sum(b,$sum(c,$sum(d,f(0.0)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6543,f846])).
22.33/22.52	tff(f6619,plain,(
22.33/22.52	  spl0_230 <=> $product(f(0.0),$sum(1.0,$sum(b,$sum(c,d)))) = $product(f(0.0),$sum(b,$sum(c,$sum(d,f(0.0)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_230])])).
22.33/22.52	tff(f6621,plain,(
22.33/22.52	  spl0_230),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6614,f6619])).
22.33/22.52	tff(f6622,plain,(
22.33/22.52	  $product(f(0.0),$sum(1.0,b)) = $product(f(0.0),$sum(b,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f6537,f846])).
22.33/22.52	tff(f6627,plain,(
22.33/22.52	  spl0_232 <=> $product(f(0.0),$sum(1.0,b)) = $product(f(0.0),$sum(b,f(0.0)))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_232])])).
22.33/22.52	tff(f6629,plain,(
22.33/22.52	  spl0_232),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6622,f6627])).
22.33/22.52	tff(f6630,plain,(
22.33/22.52	  $product(f(0.0),$sum(1.0,$sum(c,d))) = $product(f(0.0),$sum(c,$sum(d,f(0.0))))),
22.33/22.52	  inference(forward_demodulation,[],[f6532,f846])).
22.33/22.52	tff(f6635,plain,(
22.33/22.52	  spl0_234 <=> $product(f(0.0),$sum(1.0,$sum(c,d))) = $product(f(0.0),$sum(c,$sum(d,f(0.0))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_234])])).
22.33/22.52	tff(f6637,plain,(
22.33/22.52	  spl0_234),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6630,f6635])).
22.33/22.52	tff(f6638,plain,(
22.33/22.52	  $product(f(0.0),$sum(1.0,c)) = $product(f(0.0),$sum(c,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f6526,f846])).
22.33/22.52	tff(f6643,plain,(
22.33/22.52	  spl0_236 <=> $product(f(0.0),$sum(1.0,c)) = $product(f(0.0),$sum(c,f(0.0)))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_236])])).
22.33/22.52	tff(f6645,plain,(
22.33/22.52	  spl0_236),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6638,f6643])).
22.33/22.52	tff(f6646,plain,(
22.33/22.52	  $product(f(0.0),$sum(1.0,d)) = $product(f(0.0),$sum(d,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f6521,f846])).
22.33/22.52	tff(f6651,plain,(
22.33/22.52	  spl0_238 <=> $product(f(0.0),$sum(1.0,d)) = $product(f(0.0),$sum(d,f(0.0)))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_238])])).
22.33/22.52	tff(f6653,plain,(
22.33/22.52	  spl0_238),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6646,f6651])).
22.33/22.52	tff(f6654,plain,(
22.33/22.52	  $product(f(0.0),$sum(1.0,2.0)) = $product(f(0.0),$sum(2.0,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f6518,f846])).
22.33/22.52	tff(f6655,plain,(
22.33/22.52	  $product(f(0.0),3.0) = $product(f(0.0),$sum(2.0,f(0.0)))),
22.33/22.52	  inference(evaluation,[],[f6654])).
22.33/22.52	tff(f6656,plain,(
22.33/22.52	  $product(3.0,f(0.0)) = $product(f(0.0),$sum(2.0,f(0.0)))),
22.33/22.52	  inference(forward_demodulation,[],[f6655,f20])).
22.33/22.52	tff(f6661,plain,(
22.33/22.52	  spl0_240 <=> $product(3.0,f(0.0)) = $product(f(0.0),$sum(2.0,f(0.0)))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_240])])).
22.33/22.52	tff(f6663,plain,(
22.33/22.52	  spl0_240),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6656,f6661])).
22.33/22.52	tff(f6664,plain,(
22.33/22.52	  $product(f(0.0),$sum(1.0,f($sum(a,b)))) = $product(f(0.0),$sum(f(0.0),f($sum(a,b))))),
22.33/22.52	  inference(forward_demodulation,[],[f5489,f846])).
22.33/22.52	tff(f6669,plain,(
22.33/22.52	  spl0_242 <=> $product(f(0.0),$sum(1.0,f($sum(a,b)))) = $product(f(0.0),$sum(f(0.0),f($sum(a,b))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_242])])).
22.33/22.52	tff(f6671,plain,(
22.33/22.52	  spl0_242),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6664,f6669])).
22.33/22.52	tff(f6672,plain,(
22.33/22.52	  $product(f(0.0),$sum(1.0,$sum(a,b))) = $product(f(0.0),$sum(a,$sum(b,f(0.0))))),
22.33/22.52	  inference(forward_demodulation,[],[f6509,f846])).
22.33/22.52	tff(f6677,plain,(
22.33/22.52	  spl0_244 <=> $product(f(0.0),$sum(1.0,$sum(a,b))) = $product(f(0.0),$sum(a,$sum(b,f(0.0))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_244])])).
22.33/22.52	tff(f6679,plain,(
22.33/22.52	  spl0_244),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6672,f6677])).
22.33/22.52	tff(f6680,plain,(
22.33/22.52	  $product(f(0.0),$sum(1.0,f($sum(c,d)))) = $product(f(0.0),$sum(f(0.0),f($sum(c,d))))),
22.33/22.52	  inference(forward_demodulation,[],[f5491,f846])).
22.33/22.52	tff(f6685,plain,(
22.33/22.52	  spl0_246 <=> $product(f(0.0),$sum(1.0,f($sum(c,d)))) = $product(f(0.0),$sum(f(0.0),f($sum(c,d))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_246])])).
22.33/22.52	tff(f6687,plain,(
22.33/22.52	  spl0_246),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6680,f6685])).
22.33/22.52	tff(f6688,plain,(
22.33/22.52	  $product(f(0.0),$sum(1.0,f($sum(c,d)))) = $product(f(0.0),$sum(f(0.0),f($sum(c,d))))),
22.33/22.52	  inference(forward_demodulation,[],[f5492,f846])).
22.33/22.52	tff(f6689,plain,(
22.33/22.52	  spl0_246),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6688,f6685])).
22.33/22.52	tff(f6694,plain,(
22.33/22.52	  $sum(f(f($sum(a,$sum(b,$sum(c,d))))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f(f($sum(a,$sum(b,$sum(c,d)))))))),
22.33/22.52	  inference(forward_demodulation,[],[f6486,f151])).
22.33/22.52	tff(f6695,plain,(
22.33/22.52	  $sum($product(f(0.0),f($sum(c,d))),f(f($sum(a,$sum(b,$sum(c,d)))))) = $product(f(0.0),$sum(f($sum(c,d)),f(f($sum(a,$sum(b,$sum(c,d)))))))),
22.33/22.52	  inference(forward_demodulation,[],[f6694,f9])).
22.33/22.52	tff(f6700,plain,(
22.33/22.52	  spl0_248 <=> $sum($product(f(0.0),f($sum(c,d))),f(f($sum(a,$sum(b,$sum(c,d)))))) = $product(f(0.0),$sum(f($sum(c,d)),f(f($sum(a,$sum(b,$sum(c,d)))))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_248])])).
22.33/22.52	tff(f6702,plain,(
22.33/22.52	  spl0_248),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6695,f6700])).
22.33/22.52	tff(f6703,plain,(
22.33/22.52	  $sum(f($sum(a,$sum(b,$sum(c,d)))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d))))))),
22.33/22.52	  inference(forward_demodulation,[],[f6478,f151])).
22.33/22.52	tff(f6704,plain,(
22.33/22.52	  $sum($product(f(0.0),f($sum(c,d))),f($sum(a,$sum(b,$sum(c,d))))) = $product(f(0.0),$sum(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d))))))),
22.33/22.52	  inference(forward_demodulation,[],[f6703,f9])).
22.33/22.52	tff(f6709,plain,(
22.33/22.52	  spl0_250 <=> $sum($product(f(0.0),f($sum(c,d))),f($sum(a,$sum(b,$sum(c,d))))) = $product(f(0.0),$sum(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d))))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_250])])).
22.33/22.52	tff(f6711,plain,(
22.33/22.52	  spl0_250),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6704,f6709])).
22.33/22.52	tff(f6712,plain,(
22.33/22.52	  $sum(f(a),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(a),f($sum(c,d))))),
22.33/22.52	  inference(forward_demodulation,[],[f5456,f151])).
22.33/22.52	tff(f6717,plain,(
22.33/22.52	  spl0_252 <=> $sum(f(a),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(a),f($sum(c,d))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_252])])).
22.33/22.52	tff(f6719,plain,(
22.33/22.52	  spl0_252),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6712,f6717])).
22.33/22.52	tff(f6720,plain,(
22.33/22.52	  $sum(f($sum(b,$sum(c,d))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f($sum(b,$sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6463,f151])).
22.33/22.52	tff(f6725,plain,(
22.33/22.52	  spl0_254 <=> $sum(f($sum(b,$sum(c,d))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f($sum(b,$sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_254])])).
22.33/22.52	tff(f6726,plain,(
22.33/22.52	  $sum(f($sum(b,$sum(c,d))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f($sum(b,$sum(c,d))))) | ~spl0_254),
22.33/22.52	  inference(AVATAR_component_clause,[],[f6725])).
22.33/22.52	tff(f6727,plain,(
22.33/22.52	  spl0_254),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6720,f6725])).
22.33/22.52	tff(f6728,plain,(
22.33/22.52	  $sum(f(b),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(b),f($sum(c,d))))),
22.33/22.52	  inference(forward_demodulation,[],[f5454,f151])).
22.33/22.52	tff(f6733,plain,(
22.33/22.52	  spl0_256 <=> $sum(f(b),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(b),f($sum(c,d))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_256])])).
22.33/22.52	tff(f6735,plain,(
22.33/22.52	  spl0_256),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6728,f6733])).
22.33/22.52	tff(f6736,plain,(
22.33/22.52	  $sum(f($sum(c,d)),$product(f(0.0),f($sum(c,d)))) = $product(2.0,$product(f(0.0),f($sum(c,d))))),
22.33/22.52	  inference(forward_demodulation,[],[f6449,f151])).
22.33/22.52	tff(f6741,plain,(
22.33/22.52	  spl0_258 <=> $sum(f($sum(c,d)),$product(f(0.0),f($sum(c,d)))) = $product(2.0,$product(f(0.0),f($sum(c,d))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_258])])).
22.33/22.52	tff(f6742,plain,(
22.33/22.52	  $sum(f($sum(c,d)),$product(f(0.0),f($sum(c,d)))) = $product(2.0,$product(f(0.0),f($sum(c,d)))) | ~spl0_258),
22.33/22.52	  inference(AVATAR_component_clause,[],[f6741])).
22.33/22.52	tff(f6743,plain,(
22.33/22.52	  spl0_258),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6736,f6741])).
22.33/22.52	tff(f6744,plain,(
22.33/22.52	  $sum(f(c),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(c),f($sum(c,d))))),
22.33/22.52	  inference(forward_demodulation,[],[f5452,f151])).
22.33/22.52	tff(f6749,plain,(
22.33/22.52	  spl0_260 <=> $sum(f(c),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(c),f($sum(c,d))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_260])])).
22.33/22.52	tff(f6751,plain,(
22.33/22.52	  spl0_260),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6744,f6749])).
22.33/22.52	tff(f6752,plain,(
22.33/22.52	  $sum(f(d),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(d),f($sum(c,d))))),
22.33/22.52	  inference(forward_demodulation,[],[f5451,f151])).
22.33/22.52	tff(f6757,plain,(
22.33/22.52	  spl0_262 <=> $sum(f(d),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f(d),f($sum(c,d))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_262])])).
22.33/22.52	tff(f6759,plain,(
22.33/22.52	  spl0_262),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6752,f6757])).
22.33/22.52	tff(f6762,plain,(
22.33/22.52	  $sum(f(f($sum(a,b))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f(f($sum(a,b)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6419,f151])).
22.33/22.52	tff(f6767,plain,(
22.33/22.52	  spl0_264 <=> $sum(f(f($sum(a,b))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f(f($sum(a,b)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_264])])).
22.33/22.52	tff(f6769,plain,(
22.33/22.52	  spl0_264),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6762,f6767])).
22.33/22.52	tff(f6770,plain,(
22.33/22.52	  $sum(f($sum(a,b)),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(a,b)),f($sum(c,d))))),
22.33/22.52	  inference(forward_demodulation,[],[f5448,f151])).
22.33/22.52	tff(f6775,plain,(
22.33/22.52	  spl0_266 <=> $sum(f($sum(a,b)),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(a,b)),f($sum(c,d))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_266])])).
22.33/22.52	tff(f6777,plain,(
22.33/22.52	  spl0_266),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6770,f6775])).
22.33/22.52	tff(f6778,plain,(
22.33/22.52	  $sum(f(f($sum(c,d))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6404,f151])).
22.33/22.52	tff(f6783,plain,(
22.33/22.52	  spl0_268 <=> $sum(f(f($sum(c,d))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_268])])).
22.33/22.52	tff(f6785,plain,(
22.33/22.52	  spl0_268),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6778,f6783])).
22.33/22.52	tff(f6786,plain,(
22.33/22.52	  $sum(f(f($sum(c,d))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6396,f151])).
22.33/22.52	tff(f6787,plain,(
22.33/22.52	  spl0_268),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6786,f6783])).
22.33/22.52	tff(f6798,plain,(
22.33/22.52	  $sum(f($sum(f($sum(a,$sum(b,$sum(c,d)))),f($sum(c,d)))),$product(f($sum(c,d)),f(f($sum(a,$sum(b,$sum(c,d))))))) = $product(f(f($sum(a,$sum(b,$sum(c,d))))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6370,f20])).
22.33/22.52	tff(f6799,plain,(
22.33/22.52	  $sum(f($sum(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d)))))),$product(f($sum(c,d)),f(f($sum(a,$sum(b,$sum(c,d))))))) = $product(f(f($sum(a,$sum(b,$sum(c,d))))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6798,f9])).
22.33/22.52	tff(f6804,plain,(
22.33/22.52	  spl0_270 <=> $sum(f($sum(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d)))))),$product(f($sum(c,d)),f(f($sum(a,$sum(b,$sum(c,d))))))) = $product(f(f($sum(a,$sum(b,$sum(c,d))))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_270])])).
22.33/22.52	tff(f6805,plain,(
22.33/22.52	  $sum(f($sum(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d)))))),$product(f($sum(c,d)),f(f($sum(a,$sum(b,$sum(c,d))))))) = $product(f(f($sum(a,$sum(b,$sum(c,d))))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_270),
22.33/22.52	  inference(AVATAR_component_clause,[],[f6804])).
22.33/22.52	tff(f6806,plain,(
22.33/22.52	  spl0_270),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6799,f6804])).
22.33/22.52	tff(f6807,plain,(
22.33/22.52	  $sum(f($sum($sum(a,$sum(b,$sum(c,d))),f($sum(c,d)))),$product(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d)))))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6362,f20])).
22.33/22.52	tff(f6808,plain,(
22.33/22.52	  $sum(f($sum(a,$sum($sum(b,$sum(c,d)),f($sum(c,d))))),$product(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d)))))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6807,f10])).
22.33/22.52	tff(f6809,plain,(
22.33/22.52	  $sum(f($sum(a,$sum(b,$sum($sum(c,d),f($sum(c,d)))))),$product(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d)))))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6808,f10])).
22.33/22.52	tff(f6810,plain,(
22.33/22.52	  $sum(f($sum(a,$sum(b,$sum(c,$sum(d,f($sum(c,d))))))),$product(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d)))))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6809,f10])).
22.33/22.52	tff(f6815,plain,(
22.33/22.52	  spl0_272 <=> $sum(f($sum(a,$sum(b,$sum(c,$sum(d,f($sum(c,d))))))),$product(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d)))))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_272])])).
22.33/22.52	tff(f6816,plain,(
22.33/22.52	  $sum(f($sum(a,$sum(b,$sum(c,$sum(d,f($sum(c,d))))))),$product(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d)))))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_272),
22.33/22.52	  inference(AVATAR_component_clause,[],[f6815])).
22.33/22.52	tff(f6817,plain,(
22.33/22.52	  spl0_272),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6810,f6815])).
22.33/22.52	tff(f6822,plain,(
22.33/22.52	  spl0_274 <=> $sum(f($sum(a,f($sum(c,d)))),$product(f(a),f($sum(c,d)))) = $product(f(a),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_274])])).
22.33/22.52	tff(f6824,plain,(
22.33/22.52	  spl0_274),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6354,f6822])).
22.33/22.52	tff(f6825,plain,(
22.33/22.52	  $sum(f($sum($sum(b,$sum(c,d)),f($sum(c,d)))),$product(f($sum(c,d)),f($sum(b,$sum(c,d))))) = $product(f($sum(b,$sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6346,f20])).
22.33/22.52	tff(f6826,plain,(
22.33/22.52	  $sum(f($sum(b,$sum($sum(c,d),f($sum(c,d))))),$product(f($sum(c,d)),f($sum(b,$sum(c,d))))) = $product(f($sum(b,$sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6825,f10])).
22.33/22.52	tff(f6827,plain,(
22.33/22.52	  $sum(f($sum(b,$sum(c,$sum(d,f($sum(c,d)))))),$product(f($sum(c,d)),f($sum(b,$sum(c,d))))) = $product(f($sum(b,$sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6826,f10])).
22.33/22.52	tff(f6832,plain,(
22.33/22.52	  spl0_276 <=> $sum(f($sum(b,$sum(c,$sum(d,f($sum(c,d)))))),$product(f($sum(c,d)),f($sum(b,$sum(c,d))))) = $product(f($sum(b,$sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_276])])).
22.33/22.52	tff(f6833,plain,(
22.33/22.52	  $sum(f($sum(b,$sum(c,$sum(d,f($sum(c,d)))))),$product(f($sum(c,d)),f($sum(b,$sum(c,d))))) = $product(f($sum(b,$sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_276),
22.33/22.52	  inference(AVATAR_component_clause,[],[f6832])).
22.33/22.52	tff(f6834,plain,(
22.33/22.52	  spl0_276),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6827,f6832])).
22.33/22.52	tff(f6839,plain,(
22.33/22.52	  spl0_278 <=> $sum(f($sum(b,f($sum(c,d)))),$product(f(b),f($sum(c,d)))) = $product(f(b),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_278])])).
22.33/22.52	tff(f6841,plain,(
22.33/22.52	  spl0_278),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6338,f6839])).
22.33/22.52	tff(f6842,plain,(
22.33/22.52	  $sum(f($sum(c,$sum(d,f($sum(c,d))))),$product(f($sum(c,d)),f($sum(c,d)))) = $product(f($sum(c,d)),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6331,f10])).
22.33/22.52	tff(f6847,plain,(
22.33/22.52	  spl0_280 <=> $sum(f($sum(c,$sum(d,f($sum(c,d))))),$product(f($sum(c,d)),f($sum(c,d)))) = $product(f($sum(c,d)),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_280])])).
22.33/22.52	tff(f6848,plain,(
22.33/22.52	  $sum(f($sum(c,$sum(d,f($sum(c,d))))),$product(f($sum(c,d)),f($sum(c,d)))) = $product(f($sum(c,d)),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_280),
22.33/22.52	  inference(AVATAR_component_clause,[],[f6847])).
22.33/22.52	tff(f6849,plain,(
22.33/22.52	  spl0_280),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6842,f6847])).
22.33/22.52	tff(f6854,plain,(
22.33/22.52	  spl0_282 <=> $sum(f($sum(c,f($sum(c,d)))),$product(f(c),f($sum(c,d)))) = $product(f(c),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_282])])).
22.33/22.52	tff(f6856,plain,(
22.33/22.52	  spl0_282),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6323,f6854])).
22.33/22.52	tff(f6861,plain,(
22.33/22.52	  spl0_284 <=> $sum(f($sum(d,f($sum(c,d)))),$product(f(d),f($sum(c,d)))) = $product(f(d),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_284])])).
22.33/22.52	tff(f6863,plain,(
22.33/22.52	  spl0_284),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6315,f6861])).
22.33/22.52	tff(f6869,plain,(
22.33/22.52	  $sum(f($sum(f($sum(a,b)),f($sum(c,d)))),$product(f($sum(c,d)),f(f($sum(a,b))))) = $product(f(f($sum(a,b))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6297,f20])).
22.33/22.52	tff(f6874,plain,(
22.33/22.52	  spl0_286 <=> $sum(f($sum(f($sum(a,b)),f($sum(c,d)))),$product(f($sum(c,d)),f(f($sum(a,b))))) = $product(f(f($sum(a,b))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_286])])).
22.33/22.52	tff(f6875,plain,(
22.33/22.52	  $sum(f($sum(f($sum(a,b)),f($sum(c,d)))),$product(f($sum(c,d)),f(f($sum(a,b))))) = $product(f(f($sum(a,b))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_286),
22.33/22.52	  inference(AVATAR_component_clause,[],[f6874])).
22.33/22.52	tff(f6876,plain,(
22.33/22.52	  spl0_286),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6869,f6874])).
22.33/22.52	tff(f6877,plain,(
22.33/22.52	  $sum(f($sum(a,$sum(b,f($sum(c,d))))),$product(f($sum(a,b)),f($sum(c,d)))) = $product(f($sum(a,b)),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6289,f10])).
22.33/22.52	tff(f6882,plain,(
22.33/22.52	  spl0_288 <=> $sum(f($sum(a,$sum(b,f($sum(c,d))))),$product(f($sum(a,b)),f($sum(c,d)))) = $product(f($sum(a,b)),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_288])])).
22.33/22.52	tff(f6883,plain,(
22.33/22.52	  $sum(f($sum(a,$sum(b,f($sum(c,d))))),$product(f($sum(a,b)),f($sum(c,d)))) = $product(f($sum(a,b)),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_288),
22.33/22.52	  inference(AVATAR_component_clause,[],[f6882])).
22.33/22.52	tff(f6884,plain,(
22.33/22.52	  spl0_288),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6877,f6882])).
22.33/22.52	tff(f6885,plain,(
22.33/22.52	  $sum(f($sum(f($sum(c,d)),f($sum(c,d)))),$product(f($sum(c,d)),f(f($sum(c,d))))) = $product(f(f($sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6282,f20])).
22.33/22.52	tff(f6886,plain,(
22.33/22.52	  $sum(f($product(f($sum(c,d)),2.0)),$product(f($sum(c,d)),f(f($sum(c,d))))) = $product(f(f($sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6885,f2801])).
22.33/22.52	tff(f6887,plain,(
22.33/22.52	  $sum(f($product(2.0,f($sum(c,d)))),$product(f($sum(c,d)),f(f($sum(c,d))))) = $product(f(f($sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  inference(forward_demodulation,[],[f6886,f20])).
22.33/22.52	tff(f6892,plain,(
22.33/22.52	  spl0_290 <=> $sum(f($product(2.0,f($sum(c,d)))),$product(f($sum(c,d)),f(f($sum(c,d))))) = $product(f(f($sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_290])])).
22.33/22.52	tff(f6893,plain,(
22.33/22.52	  $sum(f($product(2.0,f($sum(c,d)))),$product(f($sum(c,d)),f(f($sum(c,d))))) = $product(f(f($sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_290),
22.33/22.52	  inference(AVATAR_component_clause,[],[f6892])).
22.33/22.52	tff(f6894,plain,(
22.33/22.52	  spl0_290),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6887,f6892])).
22.33/22.52	tff(f6895,plain,(
22.33/22.52	  ( ! [X28:$real,X29:$real] : (f($sum(X28,X29)) = $product(f(X28),f(X29))) )),
22.33/22.52	  inference(forward_demodulation,[],[f6196,f11])).
22.33/22.52	tff(f6930,plain,(
22.33/22.52	  $sum(f($product(2.0,f($sum(c,d)))),f($sum($sum(c,d),f($sum(c,d))))) = $product(f(f($sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_290),
22.33/22.52	  inference(forward_demodulation,[],[f6893,f6895])).
22.33/22.52	tff(f6931,plain,(
22.33/22.52	  $sum(f($product(2.0,f($sum(c,d)))),f($sum(c,$sum(d,f($sum(c,d)))))) = $product(f(f($sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_290),
22.33/22.52	  inference(forward_demodulation,[],[f6930,f10])).
22.33/22.52	tff(f6936,plain,(
22.33/22.52	  spl0_292 <=> $sum(f($product(2.0,f($sum(c,d)))),f($sum(c,$sum(d,f($sum(c,d)))))) = $product(f(f($sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_292])])).
22.33/22.52	tff(f6938,plain,(
22.33/22.52	  spl0_292 | ~spl0_290),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6931,f6892,f6936])).
22.33/22.52	tff(f6939,plain,(
22.33/22.52	  $sum(f($sum(a,$sum(b,f($sum(c,d))))),f($sum($sum(a,b),$sum(c,d)))) = $product(f($sum(a,b)),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_288),
22.33/22.52	  inference(forward_demodulation,[],[f6883,f6895])).
22.33/22.52	tff(f6940,plain,(
22.33/22.52	  $sum(f($sum(a,$sum(b,f($sum(c,d))))),f($sum(a,$sum(b,$sum(c,d))))) = $product(f($sum(a,b)),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_288),
22.33/22.52	  inference(forward_demodulation,[],[f6939,f10])).
22.33/22.52	tff(f6945,plain,(
22.33/22.52	  spl0_294 <=> $sum(f($sum(a,$sum(b,f($sum(c,d))))),f($sum(a,$sum(b,$sum(c,d))))) = $product(f($sum(a,b)),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_294])])).
22.33/22.52	tff(f6947,plain,(
22.33/22.52	  spl0_294 | ~spl0_288),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6940,f6882,f6945])).
22.33/22.52	tff(f6948,plain,(
22.33/22.52	  $sum(f($sum(f($sum(a,b)),f($sum(c,d)))),f($sum($sum(c,d),f($sum(a,b))))) = $product(f(f($sum(a,b))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_286),
22.33/22.52	  inference(forward_demodulation,[],[f6875,f6895])).
22.33/22.52	tff(f6949,plain,(
22.33/22.52	  $sum(f($sum(f($sum(a,b)),f($sum(c,d)))),f($sum(c,$sum(d,f($sum(a,b)))))) = $product(f(f($sum(a,b))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_286),
22.33/22.52	  inference(forward_demodulation,[],[f6948,f10])).
22.33/22.52	tff(f6954,plain,(
22.33/22.52	  spl0_296 <=> $sum(f($sum(f($sum(a,b)),f($sum(c,d)))),f($sum(c,$sum(d,f($sum(a,b)))))) = $product(f(f($sum(a,b))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_296])])).
22.33/22.52	tff(f6956,plain,(
22.33/22.52	  spl0_296 | ~spl0_286),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6949,f6874,f6954])).
22.33/22.52	tff(f6957,plain,(
22.33/22.52	  $sum(f($sum(c,$sum(d,f($sum(c,d))))),f($sum($sum(c,d),$sum(c,d)))) = $product(f($sum(c,d)),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_280),
22.33/22.52	  inference(forward_demodulation,[],[f6848,f6895])).
22.33/22.52	tff(f6958,plain,(
22.33/22.52	  $sum(f($sum(c,$sum(d,f($sum(c,d))))),f($sum(c,$sum(d,$sum(c,d))))) = $product(f($sum(c,d)),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_280),
22.33/22.52	  inference(forward_demodulation,[],[f6957,f10])).
22.33/22.52	tff(f6959,plain,(
22.33/22.52	  $sum(f($sum(c,$sum(d,f($sum(c,d))))),f($sum(c,$sum(c,$sum(d,d))))) = $product(f($sum(c,d)),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_280),
22.33/22.52	  inference(forward_demodulation,[],[f6958,f2234])).
22.33/22.52	tff(f6964,plain,(
22.33/22.52	  spl0_298 <=> $sum(f($sum(c,$sum(d,f($sum(c,d))))),f($sum(c,$sum(c,$sum(d,d))))) = $product(f($sum(c,d)),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_298])])).
22.33/22.52	tff(f6966,plain,(
22.33/22.52	  spl0_298 | ~spl0_280),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6959,f6847,f6964])).
22.33/22.52	tff(f6967,plain,(
22.33/22.52	  $sum(f($sum(b,$sum(c,$sum(d,f($sum(c,d)))))),f($sum($sum(c,d),$sum(b,$sum(c,d))))) = $product(f($sum(b,$sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_276),
22.33/22.52	  inference(forward_demodulation,[],[f6833,f6895])).
22.33/22.52	tff(f6968,plain,(
22.33/22.52	  $sum(f($sum(b,$sum(c,$sum(d,f($sum(c,d)))))),f($sum(c,$sum(d,$sum(b,$sum(c,d)))))) = $product(f($sum(b,$sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_276),
22.33/22.52	  inference(forward_demodulation,[],[f6967,f10])).
22.33/22.52	tff(f6969,plain,(
22.33/22.52	  $sum(f($sum(b,$sum(c,$sum(d,f($sum(c,d)))))),f($sum(c,$sum(b,$sum(d,$sum(c,d)))))) = $product(f($sum(b,$sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_276),
22.33/22.52	  inference(forward_demodulation,[],[f6968,f2234])).
22.33/22.52	tff(f6970,plain,(
22.33/22.52	  $sum(f($sum(b,$sum(c,$sum(d,f($sum(c,d)))))),f($sum(b,$sum($sum(d,$sum(c,d)),c)))) = $product(f($sum(b,$sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_276),
22.33/22.52	  inference(forward_demodulation,[],[f6969,f672])).
22.33/22.52	tff(f6971,plain,(
22.33/22.52	  $sum(f($sum(b,$sum(c,$sum(d,f($sum(c,d)))))),f($sum(b,$sum(c,$sum(d,$sum(c,d)))))) = $product(f($sum(b,$sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_276),
22.33/22.52	  inference(forward_demodulation,[],[f6970,f4557])).
22.33/22.52	tff(f6972,plain,(
22.33/22.52	  $sum(f($sum(b,$sum(c,$sum(d,f($sum(c,d)))))),f($sum(b,$sum(c,$sum(c,$sum(d,d)))))) = $product(f($sum(b,$sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_276),
22.33/22.52	  inference(forward_demodulation,[],[f6971,f2234])).
22.33/22.52	tff(f6977,plain,(
22.33/22.52	  spl0_300 <=> $sum(f($sum(b,$sum(c,$sum(d,f($sum(c,d)))))),f($sum(b,$sum(c,$sum(c,$sum(d,d)))))) = $product(f($sum(b,$sum(c,d))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_300])])).
22.33/22.52	tff(f6979,plain,(
22.33/22.52	  spl0_300 | ~spl0_276),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6972,f6832,f6977])).
22.33/22.52	tff(f6980,plain,(
22.33/22.52	  $sum(f($sum(a,$sum(b,$sum(c,$sum(d,f($sum(c,d))))))),f($sum($sum(c,d),$sum(a,$sum(b,$sum(c,d)))))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_272),
22.33/22.52	  inference(forward_demodulation,[],[f6816,f6895])).
22.33/22.52	tff(f6981,plain,(
22.33/22.52	  $sum(f($sum(a,$sum(b,$sum(c,$sum(d,f($sum(c,d))))))),f($sum(c,$sum(d,$sum(a,$sum(b,$sum(c,d))))))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_272),
22.33/22.52	  inference(forward_demodulation,[],[f6980,f10])).
22.33/22.52	tff(f6982,plain,(
22.33/22.52	  $sum(f($sum(a,$sum(b,$sum(c,$sum(d,f($sum(c,d))))))),f($sum(c,$sum(a,$sum(d,$sum(b,$sum(c,d))))))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_272),
22.33/22.52	  inference(forward_demodulation,[],[f6981,f2234])).
22.33/22.52	tff(f6983,plain,(
22.33/22.52	  $sum(f($sum(a,$sum(b,$sum(c,$sum(d,f($sum(c,d))))))),f($sum(a,$sum($sum(d,$sum(b,$sum(c,d))),c)))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_272),
22.33/22.52	  inference(forward_demodulation,[],[f6982,f672])).
22.33/22.52	tff(f6984,plain,(
22.33/22.52	  $sum(f($sum(a,$sum(b,$sum(c,$sum(d,f($sum(c,d))))))),f($sum(a,$sum(c,$sum(d,$sum(b,$sum(c,d))))))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_272),
22.33/22.52	  inference(forward_demodulation,[],[f6983,f4557])).
22.33/22.52	tff(f6985,plain,(
22.33/22.52	  $sum(f($sum(a,$sum(b,$sum(c,$sum(d,f($sum(c,d))))))),f($sum(a,$sum(c,$sum(b,$sum(d,$sum(c,d))))))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_272),
22.33/22.52	  inference(forward_demodulation,[],[f6984,f2234])).
22.33/22.52	tff(f6986,plain,(
22.33/22.52	  $sum(f($sum(a,$sum(b,$sum(c,$sum(d,f($sum(c,d))))))),f($sum(a,$sum(b,$sum(c,$sum(d,$sum(c,d))))))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_272),
22.33/22.52	  inference(forward_demodulation,[],[f6985,f2234])).
22.33/22.52	tff(f6987,plain,(
22.33/22.52	  $sum(f($sum(a,$sum(b,$sum(c,$sum(d,f($sum(c,d))))))),f($sum(a,$sum(b,$sum(c,$sum(c,$sum(d,d))))))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_272),
22.33/22.52	  inference(forward_demodulation,[],[f6986,f2234])).
22.33/22.52	tff(f6992,plain,(
22.33/22.52	  spl0_302 <=> $sum(f($sum(a,$sum(b,$sum(c,$sum(d,f($sum(c,d))))))),f($sum(a,$sum(b,$sum(c,$sum(c,$sum(d,d))))))) = $product(f($sum(a,$sum(b,$sum(c,d)))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_302])])).
22.33/22.52	tff(f6994,plain,(
22.33/22.52	  spl0_302 | ~spl0_272),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6987,f6815,f6992])).
22.33/22.52	tff(f6995,plain,(
22.33/22.52	  $sum(f($sum(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d)))))),f($sum($sum(c,d),f($sum(a,$sum(b,$sum(c,d))))))) = $product(f(f($sum(a,$sum(b,$sum(c,d))))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_270),
22.33/22.52	  inference(forward_demodulation,[],[f6805,f6895])).
22.33/22.52	tff(f6996,plain,(
22.33/22.52	  $sum(f($sum(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d)))))),f($sum(c,$sum(d,f($sum(a,$sum(b,$sum(c,d)))))))) = $product(f(f($sum(a,$sum(b,$sum(c,d))))),$sum(f($sum(c,d)),f(f($sum(c,d))))) | ~spl0_270),
22.33/22.52	  inference(forward_demodulation,[],[f6995,f10])).
22.33/22.52	tff(f7001,plain,(
22.33/22.52	  spl0_304 <=> $sum(f($sum(f($sum(c,d)),f($sum(a,$sum(b,$sum(c,d)))))),f($sum(c,$sum(d,f($sum(a,$sum(b,$sum(c,d)))))))) = $product(f(f($sum(a,$sum(b,$sum(c,d))))),$sum(f($sum(c,d)),f(f($sum(c,d)))))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_304])])).
22.33/22.52	tff(f7003,plain,(
22.33/22.52	  spl0_304 | ~spl0_270),
22.33/22.52	  inference(AVATAR_split_clause,[],[f6996,f6804,f7001])).
22.33/22.52	tff(f7016,plain,(
22.33/22.52	  $sum(f($sum(c,d)),f($sum(0.0,$sum(c,d)))) = $product(2.0,f($sum(0.0,$sum(c,d)))) | ~spl0_258),
22.33/22.52	  inference(forward_demodulation,[],[f6742,f6895])).
22.33/22.52	tff(f7017,plain,(
22.33/22.52	  $sum(f($sum(c,d)),f($sum(c,d))) = $product(2.0,f($sum(c,d))) | ~spl0_258),
22.33/22.52	  inference(forward_demodulation,[],[f7016,f151])).
22.33/22.52	tff(f7022,plain,(
22.33/22.52	  spl0_306 <=> $sum(f($sum(c,d)),f($sum(c,d))) = $product(2.0,f($sum(c,d)))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_306])])).
22.33/22.52	tff(f7024,plain,(
22.33/22.52	  spl0_306 | ~spl0_258),
22.33/22.52	  inference(AVATAR_split_clause,[],[f7017,f6741,f7022])).
22.33/22.52	tff(f7027,plain,(
22.33/22.52	  $sum(f($sum(b,$sum(c,d))),$product(f(0.0),f($sum(c,d)))) = $product(f(0.0),$product(f($sum(c,d)),$sum(1.0,f(b)))) | ~spl0_254),
22.33/22.52	  inference(forward_demodulation,[],[f6726,f2719])).
22.33/22.52	tff(f7028,plain,(
22.33/22.52	  $sum(f($sum(b,$sum(c,d))),$product(f(0.0),f($sum(c,d)))) = $product($sum(1.0,f(b)),f($sum(0.0,$sum(c,d)))) | ~spl0_254),
22.33/22.52	  inference(forward_demodulation,[],[f7027,f2560])).
22.33/22.52	tff(f7029,plain,(
22.33/22.52	  $sum(f($sum(b,$sum(c,d))),$product(f(0.0),f($sum(c,d)))) = $product($sum(1.0,f(b)),f($sum(c,d))) | ~spl0_254),
22.33/22.52	  inference(forward_demodulation,[],[f7028,f151])).
22.33/22.52	tff(f7030,plain,(
22.33/22.52	  $sum(f($sum(b,$sum(c,d))),f($sum(0.0,$sum(c,d)))) = $product($sum(1.0,f(b)),f($sum(c,d))) | ~spl0_254),
22.33/22.52	  inference(forward_demodulation,[],[f7029,f6895])).
22.33/22.52	tff(f7031,plain,(
22.33/22.52	  $sum(f($sum(b,$sum(c,d))),f($sum(c,d))) = $product($sum(1.0,f(b)),f($sum(c,d))) | ~spl0_254),
22.33/22.52	  inference(forward_demodulation,[],[f7030,f151])).
22.33/22.52	tff(f7036,plain,(
22.33/22.52	  spl0_308 <=> $sum(f($sum(b,$sum(c,d))),f($sum(c,d))) = $product($sum(1.0,f(b)),f($sum(c,d)))),
22.33/22.52	  introduced(AVATAR_definition,[new_symbols(naming,[spl0_308])])).
22.33/22.52	tff(f7038,plain,(
22.33/22.52	  spl0_308 | ~spl0_254),
22.33/22.52	  inference(AVATAR_split_clause,[],[f7031,f6725,f7036])).
22.33/22.52	tff(f7067,plain,(
22.33/22.52	  $false),
22.33/22.52	  inference(AVATAR_sat_refutation,[],[f37,f44,f51,f306,f319,f379,f381,f383,f489,f497,f505,f580,f588,f596,f641,f648,f655,f662,f1128,f1176,f1343,f1344,f1351,f1358,f1365,f1372,f1406,f1413,f1487,f1503,f1511,f1519,f1524,f1530,f1661,f1668,f1675,f1773,f1781,f1789,f2094,f2101,f2108,f2117,f2127,f2137,f2711,f2810,f2817,f2826,f2833,f2956,f4147,f4160,f4173,f4186,f4199,f4212,f4404,f4415,f4426,f4668,f4679,f4690,f4701,f4720,f4733,f4740,f4741,f4742,f4743,f4747,f4751,f4755,f4759,f4760,f4761,f4762,f4763,f4767,f4771,f4775,f4776,f5003,f5010,f5017,f5053,f5060,f5067,f5103,f5110,f5117,f5256,f5265,f5276,f5285,f5300,f5309,f5324,f5333,f5348,f5357,f5370,f5373,f5374,f5375,f5385,f5694,f5727,f5729,f5738,f5748,f5750,f5752,f5757,f5759,f5761,f5763,f5772,f5774,f5777,f5779,f6004,f6009,f6013,f6017,f6041,f6225,f6231,f6575,f6579,f6589,f6597,f6605,f6613,f6621,f6629,f6637,f6645,f6653,f6663,f6671,f6679,f6687,f6689,f6702,f6711,f6719,f6727,f6735,f6743,f6751,f6759,f6769,f6777,f6785,f6787,f6806,f6817,f6824,f6834,f6841,f6849,f6856,f6863,f6876,f6884,f6894,f6938,f6947,f6956,f6966,f6979,f6994,f7003,f7024,f7038])).
22.33/22.52	% SZS output end Proof for theBenchmark
22.33/22.52	% ------------------------------
22.33/22.52	% Version: Vampire 4.1 for CASC J8 Entry
22.33/22.52	% Termination reason: Refutation
22.33/22.52	
22.33/22.52	% Memory used [KB]: 4733
22.33/22.52	% Time elapsed: 0.151 s
22.33/22.52	% ------------------------------
22.33/22.52	% ------------------------------
22.33/22.52	% Success in time 22.271 s
22.33/22.52	EOF