0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -m 90000 -t %d %s 0.03/0.25 % Computer : n003.star.cs.uiowa.edu 0.03/0.25 % Model : x86_64 x86_64 0.03/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.25 % Memory : 32218.625MB 0.03/0.25 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.25 % CPULimit : 300 0.03/0.25 % DateTime : Sat Jul 14 04:17:11 CDT 2018 0.03/0.26 % CPUTime : 0.03/0.26 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.26 % remaining time: 3000 next slice time: 3 0.03/0.29 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 0.03/0.30 % Refutation not found, incomplete strategy 0.03/0.30 % ------------------------------ 0.03/0.30 % Version: Vampire 4.1 for CASC J8 Entry 0.03/0.30 % Termination reason: Refutation not found, incomplete strategy 0.03/0.30 0.03/0.30 % Memory used [KB]: 511 0.03/0.30 % Time elapsed: 0.015 s 0.03/0.30 % ------------------------------ 0.03/0.30 % ------------------------------ 0.03/0.30 % remaining time: 2999 next slice time: 3 0.07/0.31 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 0.47/0.70 % (38706)Time limit reached! 0.47/0.70 % ------------------------------ 0.47/0.70 % Version: Vampire 4.1 for CASC J8 Entry 0.47/0.70 % Termination reason: Time limit 0.47/0.70 % Termination phase: Saturation 0.47/0.70 0.47/0.70 % Memory used [KB]: 5373 0.47/0.70 % Time elapsed: 0.400 s 0.47/0.70 % ------------------------------ 0.47/0.70 % ------------------------------ 0.47/0.71 % remaining time: 2995 next slice time: 5 0.47/0.71 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 0.47/0.72 % Refutation not found, incomplete strategy 0.47/0.72 % ------------------------------ 0.47/0.72 % Version: Vampire 4.1 for CASC J8 Entry 0.47/0.72 % Termination reason: Refutation not found, incomplete strategy 0.47/0.72 0.47/0.72 % Memory used [KB]: 511 0.47/0.72 % Time elapsed: 0.013 s 0.47/0.72 % ------------------------------ 0.47/0.72 % ------------------------------ 0.47/0.72 % remaining time: 2995 next slice time: 9 0.47/0.72 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 0.47/0.74 % Refutation not found, incomplete strategy 0.47/0.74 % ------------------------------ 0.47/0.74 % Version: Vampire 4.1 for CASC J8 Entry 0.47/0.74 % Termination reason: Refutation not found, incomplete strategy 0.47/0.74 0.47/0.74 % Memory used [KB]: 639 0.47/0.74 % Time elapsed: 0.013 s 0.47/0.74 % ------------------------------ 0.47/0.74 % ------------------------------ 0.47/0.74 % remaining time: 2995 next slice time: 10 0.47/0.74 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 0.47/0.75 % Refutation not found, incomplete strategy 0.47/0.75 % ------------------------------ 0.47/0.75 % Version: Vampire 4.1 for CASC J8 Entry 0.47/0.75 % Termination reason: Refutation not found, incomplete strategy 0.47/0.75 0.47/0.75 % Memory used [KB]: 639 0.47/0.75 % Time elapsed: 0.013 s 0.47/0.75 % ------------------------------ 0.47/0.75 % ------------------------------ 0.47/0.75 % remaining time: 2995 next slice time: 40 0.47/0.75 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 4.63/4.85 % (38710)Time limit reached! 4.63/4.85 % ------------------------------ 4.63/4.85 % Version: Vampire 4.1 for CASC J8 Entry 4.63/4.85 % Termination reason: Time limit 4.63/4.85 % Termination phase: Saturation 4.63/4.85 4.63/4.85 % Memory used [KB]: 140466 4.63/4.85 % Time elapsed: 4.100 s 4.63/4.85 % ------------------------------ 4.63/4.85 % ------------------------------ 4.63/4.86 % remaining time: 2954 next slice time: 10 4.63/4.86 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 5.69/5.96 % (38711)Time limit reached! 5.69/5.96 % ------------------------------ 5.69/5.96 % Version: Vampire 4.1 for CASC J8 Entry 5.69/5.96 % Termination reason: Time limit 5.69/5.96 % Termination phase: Saturation 5.69/5.96 5.69/5.96 % Memory used [KB]: 36715 5.69/5.96 % Time elapsed: 1.100 s 5.69/5.96 % ------------------------------ 5.69/5.96 % ------------------------------ 5.76/5.97 % remaining time: 2942 next slice time: 162 5.78/5.97 dis+1_24_bs=on:fsr=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:spl=off:sp=occurrence:urr=on_154 on theBenchmark 22.12/22.27 % (38712)Time limit reached! 22.12/22.27 % ------------------------------ 22.12/22.27 % Version: Vampire 4.1 for CASC J8 Entry 22.12/22.27 % Termination reason: Time limit 22.12/22.27 % Termination phase: Saturation 22.12/22.27 22.12/22.27 % Memory used [KB]: 510951 22.12/22.27 % Time elapsed: 16.300 s 22.12/22.27 % ------------------------------ 22.12/22.27 % ------------------------------ 22.18/22.29 % remaining time: 2779 next slice time: 6 22.18/22.30 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 22.18/22.31 % Refutation not found, incomplete strategy 22.18/22.31 % ------------------------------ 22.18/22.31 % Version: Vampire 4.1 for CASC J8 Entry 22.18/22.31 % Termination reason: Refutation not found, incomplete strategy 22.18/22.31 22.18/22.31 % Memory used [KB]: 767 22.18/22.31 % Time elapsed: 0.014 s 22.18/22.31 % ------------------------------ 22.18/22.31 % ------------------------------ 22.18/22.31 % remaining time: 2779 next slice time: 6 22.18/22.31 dis+10_4_cond=on:inw=on:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:sas=z3:sos=all:sdd=large:sfr=on:ssfp=10000:ssfq=1.0:ssnc=none:sp=occurrence:tha=off:updr=off_4 on theBenchmark 22.18/22.32 % Refutation not found, incomplete strategy 22.18/22.32 % ------------------------------ 22.18/22.32 % Version: Vampire 4.1 for CASC J8 Entry 22.18/22.32 % Termination reason: Refutation not found, incomplete strategy 22.18/22.32 22.18/22.32 % Memory used [KB]: 767 22.18/22.32 % Time elapsed: 0.013 s 22.18/22.32 % ------------------------------ 22.18/22.32 % ------------------------------ 22.18/22.33 % remaining time: 2779 next slice time: 11 22.18/22.33 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 22.18/22.33 % Refutation not found, incomplete strategy 22.18/22.33 % ------------------------------ 22.18/22.33 % Version: Vampire 4.1 for CASC J8 Entry 22.18/22.33 % Termination reason: Refutation not found, incomplete strategy 22.18/22.33 22.18/22.33 % Memory used [KB]: 767 22.18/22.33 % Time elapsed: 0.001 s 22.18/22.33 % ------------------------------ 22.18/22.33 % ------------------------------ 22.18/22.33 % remaining time: 2779 next slice time: 6 22.18/22.33 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 22.92/23.03 % (39064)Time limit reached! 22.92/23.03 % ------------------------------ 22.92/23.03 % Version: Vampire 4.1 for CASC J8 Entry 22.92/23.03 % Termination reason: Time limit 22.92/23.03 % Termination phase: Saturation 22.92/23.03 22.92/23.03 % Memory used [KB]: 10874 22.92/23.03 % Time elapsed: 0.700 s 22.92/23.03 % ------------------------------ 22.92/23.03 % ------------------------------ 22.92/23.03 % remaining time: 2772 next slice time: 6 22.92/23.03 dis+11_3:1_inw=on:inst=on:nm=64:nwc=1:sas=z3:sos=all:ssfp=40000:ssfq=1.1:smm=sco:ssnc=none:sp=reverse_arity:updr=off_4 on theBenchmark 22.92/23.09 % Refutation found. Thanks to Tanya! 22.92/23.09 % SZS status Theorem for theBenchmark 22.92/23.09 % SZS output start Proof for theBenchmark 22.92/23.09 tff(func_def_0, type, f: $int > $int). 22.92/23.09 tff(f1,conjecture,( 22.92/23.09 ! [X0 : $int] : $greater(f(X0),X0) => $greatereq(f(f(f(6))),9)), 22.92/23.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)). 22.92/23.09 tff(f2,negated_conjecture,( 22.92/23.09 ~(! [X0 : $int] : $greater(f(X0),X0) => $greatereq(f(f(f(6))),9))), 22.92/23.09 inference(negated_conjecture,[],[f1])). 22.92/23.09 tff(f4,plain,( 22.92/23.09 ~(! [X0 : $int] : $less(X0,f(X0)) => ~$less(f(f(f(6))),9))), 22.92/23.09 inference(evaluation,[],[f2])). 22.92/23.09 tff(f5,plain,( 22.92/23.09 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )), 22.92/23.09 introduced(theory_axiom,[])). 22.92/23.09 tff(f6,plain,( 22.92/23.09 ( ! [X2:$int,X0:$int,X1:$int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )), 22.92/23.09 introduced(theory_axiom,[])). 22.92/23.09 tff(f9,plain,( 22.92/23.09 ( ! [X0:$int] : (0 = $sum(X0,$uminus(X0))) )), 22.92/23.09 introduced(theory_axiom,[])). 22.92/23.09 tff(f10,plain,( 22.92/23.09 ( ! [X0:$int] : (~$less(X0,X0)) )), 22.92/23.09 introduced(theory_axiom,[])). 22.92/23.09 tff(f11,plain,( 22.92/23.09 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )), 22.92/23.09 introduced(theory_axiom,[])). 22.92/23.09 tff(f12,plain,( 22.92/23.09 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )), 22.92/23.09 introduced(theory_axiom,[])). 22.92/23.09 tff(f13,plain,( 22.92/23.09 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )), 22.92/23.09 introduced(theory_axiom,[])). 22.92/23.09 tff(f14,plain,( 22.92/23.09 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )), 22.92/23.09 introduced(theory_axiom,[])). 22.92/23.09 tff(f16,plain,( 22.92/23.09 ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )), 22.92/23.09 introduced(theory_axiom,[])). 22.92/23.09 tff(f17,plain,( 22.92/23.09 $less(f(f(f(6))),9) & ! [X0 : $int] : $less(X0,f(X0))), 22.92/23.09 inference(ennf_transformation,[],[f4])). 22.92/23.09 tff(f19,plain,( 22.92/23.09 ( ! [X0:$int] : ($less(X0,f(X0))) )), 22.92/23.09 inference(cnf_transformation,[],[f17])). 22.92/23.09 tff(f20,plain,( 22.92/23.09 $less(f(f(f(6))),9)), 22.92/23.09 inference(cnf_transformation,[],[f17])). 22.92/23.09 tff(f25,plain,( 22.92/23.09 spl0_0 <=> $less(f(f(f(6))),9)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_0])])). 22.92/23.09 tff(f26,plain,( 22.92/23.09 $less(f(f(f(6))),9) | ~spl0_0), 22.92/23.09 inference(AVATAR_component_clause,[],[f25])). 22.92/23.09 tff(f27,plain,( 22.92/23.09 spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f20,f25])). 22.92/23.09 tff(f28,plain,( 22.92/23.09 ( ! [X0:$int,X1:$int] : ($less(X0,f(X1)) | ~$less(X0,X1)) )), 22.92/23.09 inference(resolution,[],[f19,f11])). 22.92/23.09 tff(f29,plain,( 22.92/23.09 ( ! [X2:$int,X3:$int] : (~$less(f(X2),X3) | $less(X2,X3)) )), 22.92/23.09 inference(resolution,[],[f19,f11])). 22.92/23.09 tff(f30,plain,( 22.92/23.09 ( ! [X4:$int,X5:$int] : ($less($sum(X4,X5),$sum(f(X4),X5))) )), 22.92/23.09 inference(resolution,[],[f19,f13])). 22.92/23.09 tff(f31,plain,( 22.92/23.09 ( ! [X6:$int] : (~$less(f(X6),$sum(X6,1))) )), 22.92/23.09 inference(resolution,[],[f19,f16])). 22.92/23.09 tff(f40,plain,( 22.92/23.09 ( ! [X2:$int,X1:$int] : (~$less(f(X1),X2) | ~$less(X2,$sum(X1,1))) )), 22.92/23.09 inference(resolution,[],[f31,f11])). 22.92/23.09 tff(f44,plain,( 22.92/23.09 ( ! [X0:$int] : (~$less(f(X0),$sum(1,X0))) )), 22.92/23.09 inference(superposition,[],[f31,f5])). 22.92/23.09 tff(f46,plain,( 22.92/23.09 ( ! [X2:$int,X3:$int] : (~$less(f($sum(X2,X3)),$sum(X2,$sum(X3,1)))) )), 22.92/23.09 inference(superposition,[],[f31,f6])). 22.92/23.09 tff(f50,plain,( 22.92/23.09 ~$less(f(9),$sum(9,1))), 22.92/23.09 inference(Instantiation,[],[f31])). 22.92/23.09 tff(f51,plain,( 22.92/23.09 ~$less(f(6),$sum(6,1))), 22.92/23.09 inference(Instantiation,[],[f31])). 22.92/23.09 tff(f52,plain,( 22.92/23.09 ~$less(f(0),$sum(0,1))), 22.92/23.09 inference(Instantiation,[],[f31])). 22.92/23.09 tff(f53,plain,( 22.92/23.09 ~$less(f(1),$sum(1,1))), 22.92/23.09 inference(Instantiation,[],[f31])). 22.92/23.09 tff(f54,plain,( 22.92/23.09 ~$less(f(1),2)), 22.92/23.09 inference(evaluation,[],[f53])). 22.92/23.09 tff(f55,plain,( 22.92/23.09 ~$less(f(0),1)), 22.92/23.09 inference(evaluation,[],[f52])). 22.92/23.09 tff(f56,plain,( 22.92/23.09 ~$less(f(6),7)), 22.92/23.09 inference(evaluation,[],[f51])). 22.92/23.09 tff(f57,plain,( 22.92/23.09 ~$less(f(9),10)), 22.92/23.09 inference(evaluation,[],[f50])). 22.92/23.09 tff(f63,plain,( 22.92/23.09 spl0_3 <=> ~$less(f(9),10)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_3])])). 22.92/23.09 tff(f64,plain,( 22.92/23.09 ~$less(f(9),10) | ~spl0_3), 22.92/23.09 inference(AVATAR_component_clause,[],[f63])). 22.92/23.09 tff(f65,plain,( 22.92/23.09 ~spl0_3), 22.92/23.09 inference(AVATAR_split_clause,[],[f57,f63])). 22.92/23.09 tff(f70,plain,( 22.92/23.09 spl0_5 <=> ~$less(f(6),7)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_5])])). 22.92/23.09 tff(f71,plain,( 22.92/23.09 ~$less(f(6),7) | ~spl0_5), 22.92/23.09 inference(AVATAR_component_clause,[],[f70])). 22.92/23.09 tff(f72,plain,( 22.92/23.09 ~spl0_5), 22.92/23.09 inference(AVATAR_split_clause,[],[f56,f70])). 22.92/23.09 tff(f77,plain,( 22.92/23.09 spl0_7 <=> ~$less(f(0),1)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_7])])). 22.92/23.09 tff(f78,plain,( 22.92/23.09 ~$less(f(0),1) | ~spl0_7), 22.92/23.09 inference(AVATAR_component_clause,[],[f77])). 22.92/23.09 tff(f79,plain,( 22.92/23.09 ~spl0_7), 22.92/23.09 inference(AVATAR_split_clause,[],[f55,f77])). 22.92/23.09 tff(f84,plain,( 22.92/23.09 spl0_9 <=> ~$less(f(1),2)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_9])])). 22.92/23.09 tff(f85,plain,( 22.92/23.09 ~$less(f(1),2) | ~spl0_9), 22.92/23.09 inference(AVATAR_component_clause,[],[f84])). 22.92/23.09 tff(f86,plain,( 22.92/23.09 ~spl0_9), 22.92/23.09 inference(AVATAR_split_clause,[],[f54,f84])). 22.92/23.09 tff(f87,plain,( 22.92/23.09 ( ! [X0:$int] : (~$less(X0,f(f(f(6)))) | $less(X0,9)) ) | ~spl0_0), 22.92/23.09 inference(resolution,[],[f26,f11])). 22.92/23.09 tff(f88,plain,( 22.92/23.09 ( ! [X1:$int] : (~$less(9,X1) | $less(f(f(f(6))),X1)) ) | ~spl0_0), 22.92/23.09 inference(resolution,[],[f26,f11])). 22.92/23.09 tff(f89,plain,( 22.92/23.09 ( ! [X2:$int] : ($less($sum(f(f(f(6))),X2),$sum(9,X2))) ) | ~spl0_0), 22.92/23.09 inference(resolution,[],[f26,f13])). 22.92/23.09 tff(f90,plain,( 22.92/23.09 ~$less(9,$sum(f(f(f(6))),1)) | ~spl0_0), 22.92/23.09 inference(resolution,[],[f26,f16])). 22.92/23.09 tff(f91,plain,( 22.92/23.09 ~$less($sum(9,-1),f(f(f(6)))) | ~spl0_0), 22.92/23.09 inference(evaluation,[],[f90])). 22.92/23.09 tff(f92,plain,( 22.92/23.09 ~$less(8,f(f(f(6)))) | ~spl0_0), 22.92/23.09 inference(evaluation,[],[f91])). 22.92/23.09 tff(f97,plain,( 22.92/23.09 spl0_11 <=> ~$less(8,f(f(f(6))))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_11])])). 22.92/23.09 tff(f98,plain,( 22.92/23.09 ~$less(8,f(f(f(6)))) | ~spl0_11), 22.92/23.09 inference(AVATAR_component_clause,[],[f97])). 22.92/23.09 tff(f99,plain,( 22.92/23.09 ~spl0_11 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f92,f25,f97])). 22.92/23.09 tff(f103,plain,( 22.92/23.09 ( ! [X10:$int,X9:$int] : (~$less(f(X10),$sum(X9,1)) | ~$less(X9,X10)) )), 22.92/23.09 inference(resolution,[],[f28,f16])). 22.92/23.09 tff(f116,plain,( 22.92/23.09 $less(1,f(9)) | ~$less(1,9)), 22.92/23.09 inference(Instantiation,[],[f28])). 22.92/23.09 tff(f117,plain,( 22.92/23.09 $less(1,f(6)) | ~$less(1,6)), 22.92/23.09 inference(Instantiation,[],[f28])). 22.92/23.09 tff(f120,plain,( 22.92/23.09 $less(1,f(6))), 22.92/23.09 inference(evaluation,[],[f117])). 22.92/23.09 tff(f121,plain,( 22.92/23.09 $less(1,f(9))), 22.92/23.09 inference(evaluation,[],[f116])). 22.92/23.09 tff(f126,plain,( 22.92/23.09 spl0_12 <=> $less(1,f(9))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_12])])). 22.92/23.09 tff(f127,plain,( 22.92/23.09 $less(1,f(9)) | ~spl0_12), 22.92/23.09 inference(AVATAR_component_clause,[],[f126])). 22.92/23.09 tff(f128,plain,( 22.92/23.09 spl0_12), 22.92/23.09 inference(AVATAR_split_clause,[],[f121,f126])). 22.92/23.09 tff(f133,plain,( 22.92/23.09 spl0_14 <=> $less(1,f(6))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_14])])). 22.92/23.09 tff(f134,plain,( 22.92/23.09 $less(1,f(6)) | ~spl0_14), 22.92/23.09 inference(AVATAR_component_clause,[],[f133])). 22.92/23.09 tff(f135,plain,( 22.92/23.09 spl0_14), 22.92/23.09 inference(AVATAR_split_clause,[],[f120,f133])). 22.92/23.09 tff(f136,plain,( 22.92/23.09 $less(f(f(6)),9) | ~spl0_0), 22.92/23.09 inference(resolution,[],[f29,f26])). 22.92/23.09 tff(f141,plain,( 22.92/23.09 ( ! [X10:$int,X9:$int] : ($less(X9,$sum(X10,1)) | $less(X10,f(X9))) )), 22.92/23.09 inference(resolution,[],[f29,f14])). 22.92/23.09 tff(f142,plain,( 22.92/23.09 ( ! [X11:$int] : ($less(X11,f(f(X11)))) )), 22.92/23.09 inference(resolution,[],[f29,f19])). 22.92/23.09 tff(f143,plain,( 22.92/23.09 ( ! [X12:$int,X13:$int] : (~$less(f(X12),X13) | $less(X12,f(X13))) )), 22.92/23.09 inference(resolution,[],[f29,f28])). 22.92/23.09 tff(f157,plain,( 22.92/23.09 ~$less(f(1),0) | $less(1,0)), 22.92/23.09 inference(Instantiation,[],[f29])). 22.92/23.09 tff(f158,plain,( 22.92/23.09 ~$less(f(1),1) | $less(1,1)), 22.92/23.09 inference(Instantiation,[],[f29])). 22.92/23.09 tff(f159,plain,( 22.92/23.09 ~$less(f(1),1)), 22.92/23.09 inference(evaluation,[],[f158])). 22.92/23.09 tff(f160,plain,( 22.92/23.09 ~$less(f(1),0)), 22.92/23.09 inference(evaluation,[],[f157])). 22.92/23.09 tff(f165,plain,( 22.92/23.09 spl0_16 <=> $less(f(f(6)),9)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_16])])). 22.92/23.09 tff(f166,plain,( 22.92/23.09 $less(f(f(6)),9) | ~spl0_16), 22.92/23.09 inference(AVATAR_component_clause,[],[f165])). 22.92/23.09 tff(f167,plain,( 22.92/23.09 spl0_16 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f136,f25,f165])). 22.92/23.09 tff(f173,plain,( 22.92/23.09 spl0_19 <=> ~$less(f(1),0)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_19])])). 22.92/23.09 tff(f174,plain,( 22.92/23.09 ~$less(f(1),0) | ~spl0_19), 22.92/23.09 inference(AVATAR_component_clause,[],[f173])). 22.92/23.09 tff(f175,plain,( 22.92/23.09 ~spl0_19), 22.92/23.09 inference(AVATAR_split_clause,[],[f160,f173])). 22.92/23.09 tff(f180,plain,( 22.92/23.09 spl0_21 <=> ~$less(f(1),1)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_21])])). 22.92/23.09 tff(f182,plain,( 22.92/23.09 ~spl0_21), 22.92/23.09 inference(AVATAR_split_clause,[],[f159,f180])). 22.92/23.09 tff(f184,plain,( 22.92/23.09 $less(1,f(0)) | f(0) = 1 | ~spl0_7), 22.92/23.09 inference(resolution,[],[f78,f12])). 22.92/23.09 tff(f185,plain,( 22.92/23.09 $less(1,f(0)) | f(0) = 1 | ~spl0_7), 22.92/23.09 inference(resolution,[],[f78,f12])). 22.92/23.09 tff(f193,plain,( 22.92/23.09 spl0_22 <=> f(0) = 1), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_22])])). 22.92/23.09 tff(f194,plain,( 22.92/23.09 f(0) = 1 | ~spl0_22), 22.92/23.09 inference(AVATAR_component_clause,[],[f193])). 22.92/23.09 tff(f199,plain,( 22.92/23.09 spl0_24 <=> $less(1,f(0))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_24])])). 22.92/23.09 tff(f201,plain,( 22.92/23.09 spl0_22 | spl0_24 | spl0_7), 22.92/23.09 inference(AVATAR_split_clause,[],[f184,f77,f199,f193])). 22.92/23.09 tff(f202,plain,( 22.92/23.09 spl0_22 | spl0_24 | spl0_7), 22.92/23.09 inference(AVATAR_split_clause,[],[f185,f77,f199,f193])). 22.92/23.09 tff(f203,plain,( 22.92/23.09 ~$less(8,f(f(6))) | ~spl0_11), 22.92/23.09 inference(resolution,[],[f98,f28])). 22.92/23.09 tff(f205,plain,( 22.92/23.09 $less(f(f(f(6))),8) | f(f(f(6))) = 8 | ~spl0_11), 22.92/23.09 inference(resolution,[],[f98,f12])). 22.92/23.09 tff(f206,plain,( 22.92/23.09 $less(f(f(f(6))),8) | f(f(f(6))) = 8 | ~spl0_11), 22.92/23.09 inference(resolution,[],[f98,f12])). 22.92/23.09 tff(f213,plain,( 22.92/23.09 spl0_27 <=> ~$less(8,f(f(6)))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_27])])). 22.92/23.09 tff(f214,plain,( 22.92/23.09 ~$less(8,f(f(6))) | ~spl0_27), 22.92/23.09 inference(AVATAR_component_clause,[],[f213])). 22.92/23.09 tff(f215,plain,( 22.92/23.09 ~spl0_27 | spl0_11), 22.92/23.09 inference(AVATAR_split_clause,[],[f203,f97,f213])). 22.92/23.09 tff(f220,plain,( 22.92/23.09 spl0_28 <=> f(f(f(6))) = 8), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_28])])). 22.92/23.09 tff(f221,plain,( 22.92/23.09 f(f(f(6))) = 8 | ~spl0_28), 22.92/23.09 inference(AVATAR_component_clause,[],[f220])). 22.92/23.09 tff(f226,plain,( 22.92/23.09 spl0_30 <=> $less(f(f(f(6))),8)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_30])])). 22.92/23.09 tff(f227,plain,( 22.92/23.09 $less(f(f(f(6))),8) | ~spl0_30), 22.92/23.09 inference(AVATAR_component_clause,[],[f226])). 22.92/23.09 tff(f228,plain,( 22.92/23.09 spl0_28 | spl0_30 | spl0_11), 22.92/23.09 inference(AVATAR_split_clause,[],[f205,f97,f226,f220])). 22.92/23.09 tff(f229,plain,( 22.92/23.09 spl0_28 | spl0_30 | spl0_11), 22.92/23.09 inference(AVATAR_split_clause,[],[f206,f97,f226,f220])). 22.92/23.09 tff(f235,plain,( 22.92/23.09 ( ! [X0:$int,X1:$int] : ($less($sum(X1,X0),$sum(f(X0),X1))) )), 22.92/23.09 inference(superposition,[],[f30,f5])). 22.92/23.09 tff(f239,plain,( 22.92/23.09 ( ! [X8:$int] : ($less(0,$sum(f(X8),$uminus(X8)))) )), 22.92/23.09 inference(superposition,[],[f30,f9])). 22.92/23.09 tff(f241,plain,( 22.92/23.09 ( ! [X0:$int,X1:$int] : ($less($sum(X0,X1),$sum(X1,f(X0)))) )), 22.92/23.09 inference(superposition,[],[f30,f5])). 22.92/23.09 tff(f244,plain,( 22.92/23.09 ( ! [X5:$int] : ($less($sum(X5,$uminus(f(X5))),0)) )), 22.92/23.09 inference(superposition,[],[f30,f9])). 22.92/23.09 tff(f250,plain,( 22.92/23.09 $less($sum(0,f(6)),$sum(f(0),f(6)))), 22.92/23.09 inference(Instantiation,[],[f30])). 22.92/23.09 tff(f266,plain,( 22.92/23.09 $less(f(6),$sum(f(0),f(6)))), 22.92/23.09 inference(evaluation,[],[f250])). 22.92/23.09 tff(f272,plain,( 22.92/23.09 ( ! [X8:$int] : ($less(0,$sum($uminus(X8),f(X8)))) )), 22.92/23.09 inference(forward_demodulation,[],[f239,f5])). 22.92/23.09 tff(f277,plain,( 22.92/23.09 spl0_32 <=> $less(f(6),$sum(f(0),f(6)))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_32])])). 22.92/23.09 tff(f278,plain,( 22.92/23.09 $less(f(6),$sum(f(0),f(6))) | ~spl0_32), 22.92/23.09 inference(AVATAR_component_clause,[],[f277])). 22.92/23.09 tff(f279,plain,( 22.92/23.09 spl0_32), 22.92/23.09 inference(AVATAR_split_clause,[],[f266,f277])). 22.92/23.09 tff(f280,plain,( 22.92/23.09 $less(f(f(6)),9) | ~spl0_0), 22.92/23.09 inference(resolution,[],[f87,f19])). 22.92/23.09 tff(f281,plain,( 22.92/23.09 ( ! [X0:$int] : (~$less(X0,f(f(6))) | $less(X0,9)) ) | ~spl0_0), 22.92/23.09 inference(resolution,[],[f87,f28])). 22.92/23.09 tff(f286,plain,( 22.92/23.09 ~$less(10,f(f(f(6)))) | $less(10,9) | ~spl0_0), 22.92/23.09 inference(Instantiation,[],[f87])). 22.92/23.09 tff(f287,plain,( 22.92/23.09 ~$less(9,f(f(f(6)))) | $less(9,9) | ~spl0_0), 22.92/23.09 inference(Instantiation,[],[f87])). 22.92/23.09 tff(f292,plain,( 22.92/23.09 ~$less(9,f(f(f(6)))) | $less(9,9) | ~spl0_0), 22.92/23.09 inference(Instantiation,[],[f87])). 22.92/23.09 tff(f296,plain,( 22.92/23.09 ~$less(9,f(f(f(6)))) | ~spl0_0), 22.92/23.09 inference(evaluation,[],[f292])). 22.92/23.09 tff(f297,plain,( 22.92/23.09 ~$less(9,f(f(f(6)))) | ~spl0_0), 22.92/23.09 inference(evaluation,[],[f287])). 22.92/23.09 tff(f298,plain,( 22.92/23.09 ~$less(10,f(f(f(6)))) | ~spl0_0), 22.92/23.09 inference(evaluation,[],[f286])). 22.92/23.09 tff(f299,plain,( 22.92/23.09 spl0_16 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f280,f25,f165])). 22.92/23.09 tff(f304,plain,( 22.92/23.09 spl0_35 <=> ~$less(10,f(f(f(6))))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_35])])). 22.92/23.09 tff(f305,plain,( 22.92/23.09 ~$less(10,f(f(f(6)))) | ~spl0_35), 22.92/23.09 inference(AVATAR_component_clause,[],[f304])). 22.92/23.09 tff(f306,plain,( 22.92/23.09 ~spl0_35 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f298,f25,f304])). 22.92/23.09 tff(f311,plain,( 22.92/23.09 spl0_37 <=> ~$less(9,f(f(f(6))))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_37])])). 22.92/23.09 tff(f312,plain,( 22.92/23.09 ~$less(9,f(f(f(6)))) | ~spl0_37), 22.92/23.09 inference(AVATAR_component_clause,[],[f311])). 22.92/23.09 tff(f313,plain,( 22.92/23.09 ~spl0_37 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f297,f25,f311])). 22.92/23.09 tff(f314,plain,( 22.92/23.09 ~spl0_37 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f296,f25,f311])). 22.92/23.09 tff(f316,plain,( 22.92/23.09 $less(2,f(1)) | f(1) = 2 | ~spl0_9), 22.92/23.09 inference(resolution,[],[f85,f12])). 22.92/23.09 tff(f317,plain,( 22.92/23.09 $less(2,f(1)) | f(1) = 2 | ~spl0_9), 22.92/23.09 inference(resolution,[],[f85,f12])). 22.92/23.09 tff(f325,plain,( 22.92/23.09 spl0_38 <=> f(1) = 2), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_38])])). 22.92/23.09 tff(f331,plain,( 22.92/23.09 spl0_40 <=> $less(2,f(1))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_40])])). 22.92/23.09 tff(f332,plain,( 22.92/23.09 $less(2,f(1)) | ~spl0_40), 22.92/23.09 inference(AVATAR_component_clause,[],[f331])). 22.92/23.09 tff(f333,plain,( 22.92/23.09 spl0_38 | spl0_40 | spl0_9), 22.92/23.09 inference(AVATAR_split_clause,[],[f316,f84,f331,f325])). 22.92/23.09 tff(f334,plain,( 22.92/23.09 spl0_38 | spl0_40 | spl0_9), 22.92/23.09 inference(AVATAR_split_clause,[],[f317,f84,f331,f325])). 22.92/23.09 tff(f340,plain,( 22.92/23.09 $less(f(f(f(6))),f(9)) | ~spl0_0), 22.92/23.09 inference(resolution,[],[f88,f19])). 22.92/23.09 tff(f356,plain,( 22.92/23.09 spl0_42 <=> $less(f(f(f(6))),f(9))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_42])])). 22.92/23.09 tff(f357,plain,( 22.92/23.09 $less(f(f(f(6))),f(9)) | ~spl0_42), 22.92/23.09 inference(AVATAR_component_clause,[],[f356])). 22.92/23.09 tff(f358,plain,( 22.92/23.09 spl0_42 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f340,f25,f356])). 22.92/23.09 tff(f367,plain,( 22.92/23.09 $less(0,$sum(9,$uminus(f(f(f(6)))))) | ~spl0_0), 22.92/23.09 inference(superposition,[],[f89,f9])). 22.92/23.09 tff(f389,plain,( 22.92/23.09 $less($uminus(9),$uminus(f(f(f(6))))) | ~spl0_0), 22.92/23.09 inference(evaluation,[],[f367])). 22.92/23.09 tff(f390,plain,( 22.92/23.09 $less(-9,$uminus(f(f(f(6))))) | ~spl0_0), 22.92/23.09 inference(evaluation,[],[f389])). 22.92/23.09 tff(f401,plain,( 22.92/23.09 spl0_44 <=> $less(-9,$uminus(f(f(f(6)))))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_44])])). 22.92/23.09 tff(f402,plain,( 22.92/23.09 $less(-9,$uminus(f(f(f(6))))) | ~spl0_44), 22.92/23.09 inference(AVATAR_component_clause,[],[f401])). 22.92/23.09 tff(f403,plain,( 22.92/23.09 spl0_44 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f390,f25,f401])). 22.92/23.09 tff(f419,plain,( 22.92/23.09 $less(0,f(1)) | f(1) = 0 | ~spl0_19), 22.92/23.09 inference(resolution,[],[f174,f12])). 22.92/23.09 tff(f420,plain,( 22.92/23.09 $less(0,f(1)) | f(1) = 0 | ~spl0_19), 22.92/23.09 inference(resolution,[],[f174,f12])). 22.92/23.09 tff(f421,plain,( 22.92/23.09 $less(0,$sum(f(1),1)) | ~spl0_19), 22.92/23.09 inference(resolution,[],[f174,f14])). 22.92/23.09 tff(f422,plain,( 22.92/23.09 $less($uminus(1),f(1)) | ~spl0_19), 22.92/23.09 inference(evaluation,[],[f421])). 22.92/23.09 tff(f423,plain,( 22.92/23.09 $less(-1,f(1)) | ~spl0_19), 22.92/23.09 inference(evaluation,[],[f422])). 22.92/23.09 tff(f428,plain,( 22.92/23.09 spl0_46 <=> f(1) = 0), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_46])])). 22.92/23.09 tff(f434,plain,( 22.92/23.09 spl0_48 <=> $less(0,f(1))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_48])])). 22.92/23.09 tff(f436,plain,( 22.92/23.09 spl0_46 | spl0_48 | spl0_19), 22.92/23.09 inference(AVATAR_split_clause,[],[f419,f173,f434,f428])). 22.92/23.09 tff(f437,plain,( 22.92/23.09 spl0_46 | spl0_48 | spl0_19), 22.92/23.09 inference(AVATAR_split_clause,[],[f420,f173,f434,f428])). 22.92/23.09 tff(f442,plain,( 22.92/23.09 spl0_50 <=> $less(-1,f(1))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_50])])). 22.92/23.09 tff(f444,plain,( 22.92/23.09 spl0_50 | spl0_19), 22.92/23.09 inference(AVATAR_split_clause,[],[f423,f173,f442])). 22.92/23.09 tff(f448,plain,( 22.92/23.09 ~$less(f(6),$sum(1,1)) | ~spl0_14), 22.92/23.09 inference(resolution,[],[f134,f16])). 22.92/23.09 tff(f449,plain,( 22.92/23.09 ~$less(f(6),2) | ~spl0_14), 22.92/23.09 inference(evaluation,[],[f448])). 22.92/23.09 tff(f454,plain,( 22.92/23.09 spl0_53 <=> ~$less(f(6),2)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_53])])). 22.92/23.09 tff(f456,plain,( 22.92/23.09 ~spl0_53 | ~spl0_14), 22.92/23.09 inference(AVATAR_split_clause,[],[f449,f133,f454])). 22.92/23.09 tff(f458,plain,( 22.92/23.09 $less(7,f(6)) | f(6) = 7 | ~spl0_5), 22.92/23.09 inference(resolution,[],[f71,f12])). 22.92/23.09 tff(f459,plain,( 22.92/23.09 $less(7,f(6)) | f(6) = 7 | ~spl0_5), 22.92/23.09 inference(resolution,[],[f71,f12])). 22.92/23.09 tff(f467,plain,( 22.92/23.09 spl0_54 <=> f(6) = 7), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_54])])). 22.92/23.09 tff(f473,plain,( 22.92/23.09 spl0_56 <=> $less(7,f(6))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_56])])). 22.92/23.09 tff(f475,plain,( 22.92/23.09 spl0_54 | spl0_56 | spl0_5), 22.92/23.09 inference(AVATAR_split_clause,[],[f458,f70,f473,f467])). 22.92/23.09 tff(f476,plain,( 22.92/23.09 spl0_54 | spl0_56 | spl0_5), 22.92/23.09 inference(AVATAR_split_clause,[],[f459,f70,f473,f467])). 22.92/23.09 tff(f488,plain,( 22.92/23.09 ~$less(f(9),$sum(1,1)) | ~spl0_12), 22.92/23.09 inference(resolution,[],[f127,f16])). 22.92/23.09 tff(f489,plain,( 22.92/23.09 ~$less(f(9),2) | ~spl0_12), 22.92/23.09 inference(evaluation,[],[f488])). 22.92/23.09 tff(f494,plain,( 22.92/23.09 spl0_59 <=> ~$less(f(9),2)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_59])])). 22.92/23.09 tff(f496,plain,( 22.92/23.09 ~spl0_59 | ~spl0_12), 22.92/23.09 inference(AVATAR_split_clause,[],[f489,f126,f494])). 22.92/23.09 tff(f497,plain,( 22.92/23.09 $less(f(6),9) | ~spl0_0), 22.92/23.09 inference(resolution,[],[f142,f87])). 22.92/23.09 tff(f503,plain,( 22.92/23.09 $less(f(f(f(6))),f(f(9))) | ~spl0_0), 22.92/23.09 inference(resolution,[],[f142,f88])). 22.92/23.09 tff(f504,plain,( 22.92/23.09 $less(0,f(1)) | ~spl0_22), 22.92/23.09 inference(superposition,[],[f142,f194])). 22.92/23.09 tff(f516,plain,( 22.92/23.09 spl0_60 <=> $less(f(6),9)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_60])])). 22.92/23.09 tff(f518,plain,( 22.92/23.09 spl0_60 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f497,f25,f516])). 22.92/23.09 tff(f523,plain,( 22.92/23.09 spl0_62 <=> $less(f(f(f(6))),f(f(9)))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_62])])). 22.92/23.09 tff(f525,plain,( 22.92/23.09 spl0_62 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f503,f25,f523])). 22.92/23.09 tff(f526,plain,( 22.92/23.09 spl0_48 | ~spl0_22), 22.92/23.09 inference(AVATAR_split_clause,[],[f504,f193,f434])). 22.92/23.09 tff(f536,plain,( 22.92/23.09 ~$less(f($uminus(1)),0)), 22.92/23.09 inference(superposition,[],[f44,f9])). 22.92/23.09 tff(f540,plain,( 22.92/23.09 ~$less(f(9),$sum(1,9))), 22.92/23.09 inference(Instantiation,[],[f44])). 22.92/23.09 tff(f547,plain,( 22.92/23.09 ~$less(f(9),10)), 22.92/23.09 inference(evaluation,[],[f540])). 22.92/23.09 tff(f548,plain,( 22.92/23.09 ~$less(f(-1),0)), 22.92/23.09 inference(evaluation,[],[f536])). 22.92/23.09 tff(f555,plain,( 22.92/23.09 spl0_65 <=> ~$less(f(-1),0)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_65])])). 22.92/23.09 tff(f556,plain,( 22.92/23.09 ~$less(f(-1),0) | ~spl0_65), 22.92/23.09 inference(AVATAR_component_clause,[],[f555])). 22.92/23.09 tff(f557,plain,( 22.92/23.09 ~spl0_65), 22.92/23.09 inference(AVATAR_split_clause,[],[f548,f555])). 22.92/23.09 tff(f558,plain,( 22.92/23.09 ~spl0_3), 22.92/23.09 inference(AVATAR_split_clause,[],[f547,f63])). 22.92/23.09 tff(f563,plain,( 22.92/23.09 ~$less(f(1),$sum(2,1)) | ~spl0_40), 22.92/23.09 inference(resolution,[],[f332,f16])). 22.92/23.09 tff(f564,plain,( 22.92/23.09 ~$less(f(1),3) | ~spl0_40), 22.92/23.09 inference(evaluation,[],[f563])). 22.92/23.09 tff(f569,plain,( 22.92/23.09 spl0_67 <=> ~$less(f(1),3)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_67])])). 22.92/23.09 tff(f570,plain,( 22.92/23.09 ~$less(f(1),3) | ~spl0_67), 22.92/23.09 inference(AVATAR_component_clause,[],[f569])). 22.92/23.09 tff(f571,plain,( 22.92/23.09 ~spl0_67 | ~spl0_40), 22.92/23.09 inference(AVATAR_split_clause,[],[f564,f331,f569])). 22.92/23.09 tff(f573,plain,( 22.92/23.09 $less(10,f(9)) | f(9) = 10 | ~spl0_3), 22.92/23.09 inference(resolution,[],[f64,f12])). 22.92/23.09 tff(f574,plain,( 22.92/23.09 $less(10,f(9)) | f(9) = 10 | ~spl0_3), 22.92/23.09 inference(resolution,[],[f64,f12])). 22.92/23.09 tff(f582,plain,( 22.92/23.09 spl0_68 <=> f(9) = 10), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_68])])). 22.92/23.09 tff(f588,plain,( 22.92/23.09 spl0_70 <=> $less(10,f(9))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_70])])). 22.92/23.09 tff(f590,plain,( 22.92/23.09 spl0_68 | spl0_70 | spl0_3), 22.92/23.09 inference(AVATAR_split_clause,[],[f573,f63,f588,f582])). 22.92/23.09 tff(f591,plain,( 22.92/23.09 spl0_68 | spl0_70 | spl0_3), 22.92/23.09 inference(AVATAR_split_clause,[],[f574,f63,f588,f582])). 22.92/23.09 tff(f592,plain,( 22.92/23.09 $less(f(6),9) | ~spl0_16), 22.92/23.09 inference(resolution,[],[f166,f29])). 22.92/23.09 tff(f596,plain,( 22.92/23.09 ~$less(9,$sum(f(f(6)),1)) | ~spl0_16), 22.92/23.09 inference(resolution,[],[f166,f16])). 22.92/23.09 tff(f597,plain,( 22.92/23.09 ~$less($sum(9,-1),f(f(6))) | ~spl0_16), 22.92/23.09 inference(evaluation,[],[f596])). 22.92/23.09 tff(f598,plain,( 22.92/23.09 ~$less(8,f(f(6))) | ~spl0_16), 22.92/23.09 inference(evaluation,[],[f597])). 22.92/23.09 tff(f599,plain,( 22.92/23.09 spl0_60 | ~spl0_16), 22.92/23.09 inference(AVATAR_split_clause,[],[f592,f165,f516])). 22.92/23.09 tff(f600,plain,( 22.92/23.09 ~spl0_27 | ~spl0_16), 22.92/23.09 inference(AVATAR_split_clause,[],[f598,f165,f213])). 22.92/23.09 tff(f607,plain,( 22.92/23.09 ~$less(8,f(6)) | ~spl0_27), 22.92/23.09 inference(resolution,[],[f214,f28])). 22.92/23.09 tff(f609,plain,( 22.92/23.09 $less(f(f(6)),8) | f(f(6)) = 8 | ~spl0_27), 22.92/23.09 inference(resolution,[],[f214,f12])). 22.92/23.09 tff(f610,plain,( 22.92/23.09 $less(f(f(6)),8) | f(f(6)) = 8 | ~spl0_27), 22.92/23.09 inference(resolution,[],[f214,f12])). 22.92/23.09 tff(f614,plain,( 22.92/23.09 spl0_72 <=> $less(8,f(6))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_72])])). 22.92/23.09 tff(f617,plain,( 22.92/23.09 spl0_73 <=> ~$less(8,f(6))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_73])])). 22.92/23.09 tff(f619,plain,( 22.92/23.09 ~spl0_73 | spl0_27), 22.92/23.09 inference(AVATAR_split_clause,[],[f607,f213,f617])). 22.92/23.09 tff(f624,plain,( 22.92/23.09 spl0_74 <=> f(f(6)) = 8), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_74])])). 22.92/23.09 tff(f630,plain,( 22.92/23.09 spl0_76 <=> $less(f(f(6)),8)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_76])])). 22.92/23.09 tff(f632,plain,( 22.92/23.09 spl0_74 | spl0_76 | spl0_27), 22.92/23.09 inference(AVATAR_split_clause,[],[f609,f213,f630,f624])). 22.92/23.09 tff(f633,plain,( 22.92/23.09 spl0_74 | spl0_76 | spl0_27), 22.92/23.09 inference(AVATAR_split_clause,[],[f610,f213,f630,f624])). 22.92/23.09 tff(f644,plain,( 22.92/23.09 $less($sum(9,$uminus(f(9))),0)), 22.92/23.09 inference(Instantiation,[],[f244])). 22.92/23.09 tff(f645,plain,( 22.92/23.09 $less($sum(6,$uminus(f(6))),0)), 22.92/23.09 inference(Instantiation,[],[f244])). 22.92/23.09 tff(f647,plain,( 22.92/23.09 $less($sum(1,$uminus(f(1))),0)), 22.92/23.09 inference(Instantiation,[],[f244])). 22.92/23.09 tff(f648,plain,( 22.92/23.09 $less($uminus(f(1)),$uminus(1))), 22.92/23.09 inference(evaluation,[],[f647])). 22.92/23.09 tff(f649,plain,( 22.92/23.09 $less($uminus(f(1)),-1)), 22.92/23.09 inference(evaluation,[],[f648])). 22.92/23.09 tff(f651,plain,( 22.92/23.09 $less($uminus(f(6)),$uminus(6))), 22.92/23.09 inference(evaluation,[],[f645])). 22.92/23.09 tff(f652,plain,( 22.92/23.09 $less($uminus(f(6)),-6)), 22.92/23.09 inference(evaluation,[],[f651])). 22.92/23.09 tff(f653,plain,( 22.92/23.09 $less($uminus(f(9)),$uminus(9))), 22.92/23.09 inference(evaluation,[],[f644])). 22.92/23.09 tff(f654,plain,( 22.92/23.09 $less($uminus(f(9)),-9)), 22.92/23.09 inference(evaluation,[],[f653])). 22.92/23.09 tff(f664,plain,( 22.92/23.09 spl0_78 <=> $less($uminus(f(9)),-9)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_78])])). 22.92/23.09 tff(f666,plain,( 22.92/23.09 spl0_78), 22.92/23.09 inference(AVATAR_split_clause,[],[f654,f664])). 22.92/23.09 tff(f671,plain,( 22.92/23.09 spl0_80 <=> $less($uminus(f(6)),-6)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_80])])). 22.92/23.09 tff(f673,plain,( 22.92/23.09 spl0_80), 22.92/23.09 inference(AVATAR_split_clause,[],[f652,f671])). 22.92/23.09 tff(f679,plain,( 22.92/23.09 spl0_82 <=> $less($uminus(f(1)),-1)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_82])])). 22.92/23.09 tff(f681,plain,( 22.92/23.09 spl0_82), 22.92/23.09 inference(AVATAR_split_clause,[],[f649,f679])). 22.92/23.09 tff(f712,plain,( 22.92/23.09 $less(f(f(6)),8) | ~spl0_30), 22.92/23.09 inference(resolution,[],[f227,f29])). 22.92/23.09 tff(f716,plain,( 22.92/23.09 ~$less(8,$sum(f(f(f(6))),1)) | ~spl0_30), 22.92/23.09 inference(resolution,[],[f227,f16])). 22.92/23.09 tff(f717,plain,( 22.92/23.09 ~$less($sum(8,-1),f(f(f(6)))) | ~spl0_30), 22.92/23.09 inference(evaluation,[],[f716])). 22.92/23.09 tff(f718,plain,( 22.92/23.09 ~$less(7,f(f(f(6)))) | ~spl0_30), 22.92/23.09 inference(evaluation,[],[f717])). 22.92/23.09 tff(f719,plain,( 22.92/23.09 spl0_76 | ~spl0_30), 22.92/23.09 inference(AVATAR_split_clause,[],[f712,f226,f630])). 22.92/23.09 tff(f724,plain,( 22.92/23.09 spl0_85 <=> ~$less(7,f(f(f(6))))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_85])])). 22.92/23.09 tff(f726,plain,( 22.92/23.09 ~spl0_85 | ~spl0_30), 22.92/23.09 inference(AVATAR_split_clause,[],[f718,f226,f724])). 22.92/23.09 tff(f732,plain,( 22.92/23.09 $less(f(6),8) | ~spl0_28), 22.92/23.09 inference(superposition,[],[f142,f221])). 22.92/23.09 tff(f733,plain,( 22.92/23.09 $less(f(f(6)),8) | ~spl0_28), 22.92/23.09 inference(superposition,[],[f19,f221])). 22.92/23.09 tff(f737,plain,( 22.92/23.09 ~$less(8,$sum(f(f(6)),1)) | ~spl0_28), 22.92/23.09 inference(superposition,[],[f31,f221])). 22.92/23.09 tff(f738,plain,( 22.92/23.09 ~$less(8,$sum(1,f(f(6)))) | ~spl0_28), 22.92/23.09 inference(superposition,[],[f44,f221])). 22.92/23.09 tff(f740,plain,( 22.92/23.09 $less(f(f(6)),f(8)) | ~spl0_28), 22.92/23.09 inference(superposition,[],[f142,f221])). 22.92/23.09 tff(f741,plain,( 22.92/23.09 $less($sum(f(f(6)),$uminus(8)),0) | ~spl0_28), 22.92/23.09 inference(superposition,[],[f244,f221])). 22.92/23.09 tff(f742,plain,( 22.92/23.09 $less(0,$sum($uminus(f(f(6))),8)) | ~spl0_28), 22.92/23.09 inference(superposition,[],[f272,f221])). 22.92/23.09 tff(f743,plain,( 22.92/23.09 $less($uminus(8),$uminus(f(f(6)))) | ~spl0_28), 22.92/23.09 inference(evaluation,[],[f742])). 22.92/23.09 tff(f744,plain,( 22.92/23.09 $less(-8,$uminus(f(f(6)))) | ~spl0_28), 22.92/23.09 inference(evaluation,[],[f743])). 22.92/23.09 tff(f745,plain,( 22.92/23.09 $less(f(f(6)),$uminus(-8)) | ~spl0_28), 22.92/23.09 inference(evaluation,[],[f741])). 22.92/23.09 tff(f746,plain,( 22.92/23.09 $less(f(f(6)),8) | ~spl0_28), 22.92/23.09 inference(evaluation,[],[f745])). 22.92/23.09 tff(f747,plain,( 22.92/23.09 ~$less($sum(8,-1),f(f(6))) | ~spl0_28), 22.92/23.09 inference(evaluation,[],[f738])). 22.92/23.09 tff(f748,plain,( 22.92/23.09 ~$less(7,f(f(6))) | ~spl0_28), 22.92/23.09 inference(evaluation,[],[f747])). 22.92/23.09 tff(f749,plain,( 22.92/23.09 ~$less($sum(8,-1),f(f(6))) | ~spl0_28), 22.92/23.09 inference(evaluation,[],[f737])). 22.92/23.09 tff(f750,plain,( 22.92/23.09 ~$less(7,f(f(6))) | ~spl0_28), 22.92/23.09 inference(evaluation,[],[f749])). 22.92/23.09 tff(f755,plain,( 22.92/23.09 spl0_86 <=> $less(f(6),8)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_86])])). 22.92/23.09 tff(f757,plain,( 22.92/23.09 spl0_86 | ~spl0_28), 22.92/23.09 inference(AVATAR_split_clause,[],[f732,f220,f755])). 22.92/23.09 tff(f758,plain,( 22.92/23.09 spl0_76 | ~spl0_28), 22.92/23.09 inference(AVATAR_split_clause,[],[f733,f220,f630])). 22.92/23.09 tff(f763,plain,( 22.92/23.09 spl0_89 <=> ~$less(7,f(f(6)))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_89])])). 22.92/23.09 tff(f765,plain,( 22.92/23.09 ~spl0_89 | ~spl0_28), 22.92/23.09 inference(AVATAR_split_clause,[],[f750,f220,f763])). 22.92/23.09 tff(f766,plain,( 22.92/23.09 ~spl0_89 | ~spl0_28), 22.92/23.09 inference(AVATAR_split_clause,[],[f748,f220,f763])). 22.92/23.09 tff(f771,plain,( 22.92/23.09 spl0_90 <=> $less(f(f(6)),f(8))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_90])])). 22.92/23.09 tff(f773,plain,( 22.92/23.09 spl0_90 | ~spl0_28), 22.92/23.09 inference(AVATAR_split_clause,[],[f740,f220,f771])). 22.92/23.09 tff(f774,plain,( 22.92/23.09 spl0_76 | ~spl0_28), 22.92/23.09 inference(AVATAR_split_clause,[],[f746,f220,f630])). 22.92/23.09 tff(f779,plain,( 22.92/23.09 spl0_92 <=> $less(-8,$uminus(f(f(6))))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_92])])). 22.92/23.09 tff(f781,plain,( 22.92/23.09 spl0_92 | ~spl0_28), 22.92/23.09 inference(AVATAR_split_clause,[],[f744,f220,f779])). 22.92/23.09 tff(f786,plain,( 22.92/23.09 ~$less(9,$sum(f(f(f(6))),1)) | ~spl0_0), 22.92/23.09 inference(resolution,[],[f26,f16])). 22.92/23.09 tff(f787,plain,( 22.92/23.09 ~$less($sum(9,-1),f(f(f(6)))) | ~spl0_0), 22.92/23.09 inference(evaluation,[],[f786])). 22.92/23.09 tff(f788,plain,( 22.92/23.09 ~$less(8,f(f(f(6)))) | ~spl0_0), 22.92/23.09 inference(evaluation,[],[f787])). 22.92/23.09 tff(f789,plain,( 22.92/23.09 ~spl0_11 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f788,f25,f97])). 22.92/23.09 tff(f791,plain,( 22.92/23.09 $less(0,f(-1)) | f(-1) = 0 | ~spl0_65), 22.92/23.09 inference(resolution,[],[f556,f12])). 22.92/23.09 tff(f792,plain,( 22.92/23.09 $less(0,f(-1)) | f(-1) = 0 | ~spl0_65), 22.92/23.09 inference(resolution,[],[f556,f12])). 22.92/23.09 tff(f800,plain,( 22.92/23.09 spl0_94 <=> f(-1) = 0), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_94])])). 22.92/23.09 tff(f806,plain,( 22.92/23.09 spl0_96 <=> $less(0,f(-1))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_96])])). 22.92/23.09 tff(f807,plain,( 22.92/23.09 $less(0,f(-1)) | ~spl0_96), 22.92/23.09 inference(AVATAR_component_clause,[],[f806])). 22.92/23.09 tff(f808,plain,( 22.92/23.09 spl0_94 | spl0_96 | spl0_65), 22.92/23.09 inference(AVATAR_split_clause,[],[f791,f555,f806,f800])). 22.92/23.09 tff(f809,plain,( 22.92/23.09 spl0_94 | spl0_96 | spl0_65), 22.92/23.09 inference(AVATAR_split_clause,[],[f792,f555,f806,f800])). 22.92/23.09 tff(f812,plain,( 22.92/23.09 $less(f(f(f(6))),8) | f(f(f(6))) = 8 | ~spl0_11), 22.92/23.09 inference(resolution,[],[f98,f12])). 22.92/23.09 tff(f813,plain,( 22.92/23.09 $less(f(f(f(6))),8) | f(f(f(6))) = 8 | ~spl0_11), 22.92/23.09 inference(resolution,[],[f98,f12])). 22.92/23.09 tff(f816,plain,( 22.92/23.09 spl0_28 | spl0_30 | spl0_11), 22.92/23.09 inference(AVATAR_split_clause,[],[f812,f97,f226,f220])). 22.92/23.09 tff(f817,plain,( 22.92/23.09 spl0_28 | spl0_30 | spl0_11), 22.92/23.09 inference(AVATAR_split_clause,[],[f813,f97,f226,f220])). 22.92/23.09 tff(f818,plain,( 22.92/23.09 $less(f(6),9) | ~spl0_0), 22.92/23.09 inference(resolution,[],[f87,f142])). 22.92/23.09 tff(f825,plain,( 22.92/23.09 ~$less(10,f(f(f(6)))) | $less(10,9) | ~spl0_0), 22.92/23.09 inference(Instantiation,[],[f87])). 22.92/23.09 tff(f826,plain,( 22.92/23.09 ~$less(9,f(f(f(6)))) | $less(9,9) | ~spl0_0), 22.92/23.09 inference(Instantiation,[],[f87])). 22.92/23.09 tff(f831,plain,( 22.92/23.09 ~$less(9,f(f(f(6)))) | $less(9,9) | ~spl0_0), 22.92/23.09 inference(Instantiation,[],[f87])). 22.92/23.09 tff(f835,plain,( 22.92/23.09 ~$less(9,f(f(f(6)))) | ~spl0_0), 22.92/23.09 inference(evaluation,[],[f831])). 22.92/23.09 tff(f836,plain,( 22.92/23.09 ~$less(9,f(f(f(6)))) | ~spl0_0), 22.92/23.09 inference(evaluation,[],[f826])). 22.92/23.09 tff(f837,plain,( 22.92/23.09 ~$less(10,f(f(f(6)))) | ~spl0_0), 22.92/23.09 inference(evaluation,[],[f825])). 22.92/23.09 tff(f838,plain,( 22.92/23.09 spl0_60 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f818,f25,f516])). 22.92/23.09 tff(f839,plain,( 22.92/23.09 ~spl0_35 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f837,f25,f304])). 22.92/23.09 tff(f840,plain,( 22.92/23.09 ~spl0_37 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f836,f25,f311])). 22.92/23.09 tff(f841,plain,( 22.92/23.09 ~spl0_37 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f835,f25,f311])). 22.92/23.09 tff(f847,plain,( 22.92/23.09 $less(f(f(f(6))),f(9)) | ~spl0_0), 22.92/23.09 inference(resolution,[],[f88,f19])). 22.92/23.09 tff(f849,plain,( 22.92/23.09 $less(f(f(f(6))),f(f(9))) | ~spl0_0), 22.92/23.09 inference(resolution,[],[f88,f142])). 22.92/23.09 tff(f860,plain,( 22.92/23.09 spl0_42 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f847,f25,f356])). 22.92/23.09 tff(f861,plain,( 22.92/23.09 spl0_62 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f849,f25,f523])). 22.92/23.09 tff(f863,plain,( 22.92/23.09 $less(3,f(1)) | f(1) = 3 | ~spl0_67), 22.92/23.09 inference(resolution,[],[f570,f12])). 22.92/23.09 tff(f864,plain,( 22.92/23.09 $less(3,f(1)) | f(1) = 3 | ~spl0_67), 22.92/23.09 inference(resolution,[],[f570,f12])). 22.92/23.09 tff(f872,plain,( 22.92/23.09 spl0_98 <=> f(1) = 3), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_98])])). 22.92/23.09 tff(f878,plain,( 22.92/23.09 spl0_100 <=> $less(3,f(1))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_100])])). 22.92/23.09 tff(f879,plain,( 22.92/23.09 $less(3,f(1)) | ~spl0_100), 22.92/23.09 inference(AVATAR_component_clause,[],[f878])). 22.92/23.09 tff(f880,plain,( 22.92/23.09 spl0_98 | spl0_100 | spl0_67), 22.92/23.09 inference(AVATAR_split_clause,[],[f863,f569,f878,f872])). 22.92/23.09 tff(f881,plain,( 22.92/23.09 spl0_98 | spl0_100 | spl0_67), 22.92/23.09 inference(AVATAR_split_clause,[],[f864,f569,f878,f872])). 22.92/23.09 tff(f890,plain,( 22.92/23.09 $less(0,$sum(9,$uminus(f(f(f(6)))))) | ~spl0_0), 22.92/23.09 inference(superposition,[],[f89,f9])). 22.92/23.09 tff(f912,plain,( 22.92/23.09 $less($uminus(9),$uminus(f(f(f(6))))) | ~spl0_0), 22.92/23.09 inference(evaluation,[],[f890])). 22.92/23.09 tff(f913,plain,( 22.92/23.09 $less(-9,$uminus(f(f(f(6))))) | ~spl0_0), 22.92/23.09 inference(evaluation,[],[f912])). 22.92/23.09 tff(f920,plain,( 22.92/23.09 spl0_44 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f913,f25,f401])). 22.92/23.09 tff(f924,plain,( 22.92/23.09 ~$less(f(-1),$sum(0,1)) | ~spl0_96), 22.92/23.09 inference(resolution,[],[f807,f16])). 22.92/23.09 tff(f925,plain,( 22.92/23.09 ~$less(f(-1),1) | ~spl0_96), 22.92/23.09 inference(evaluation,[],[f924])). 22.92/23.09 tff(f931,plain,( 22.92/23.09 spl0_103 <=> ~$less(f(-1),1)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_103])])). 22.92/23.09 tff(f932,plain,( 22.92/23.09 ~$less(f(-1),1) | ~spl0_103), 22.92/23.09 inference(AVATAR_component_clause,[],[f931])). 22.92/23.09 tff(f933,plain,( 22.92/23.09 ~spl0_103 | ~spl0_96), 22.92/23.09 inference(AVATAR_split_clause,[],[f925,f806,f931])). 22.92/23.09 tff(f934,plain,( 22.92/23.09 $less(f(f(6)),8) | ~spl0_30), 22.92/23.09 inference(resolution,[],[f227,f29])). 22.92/23.09 tff(f938,plain,( 22.92/23.09 ~$less(8,$sum(f(f(f(6))),1)) | ~spl0_30), 22.92/23.09 inference(resolution,[],[f227,f16])). 22.92/23.09 tff(f939,plain,( 22.92/23.09 ~$less($sum(8,-1),f(f(f(6)))) | ~spl0_30), 22.92/23.09 inference(evaluation,[],[f938])). 22.92/23.09 tff(f940,plain,( 22.92/23.09 ~$less(7,f(f(f(6)))) | ~spl0_30), 22.92/23.09 inference(evaluation,[],[f939])). 22.92/23.09 tff(f941,plain,( 22.92/23.09 spl0_76 | ~spl0_30), 22.92/23.09 inference(AVATAR_split_clause,[],[f934,f226,f630])). 22.92/23.09 tff(f942,plain,( 22.92/23.09 ~spl0_85 | ~spl0_30), 22.92/23.09 inference(AVATAR_split_clause,[],[f940,f226,f724])). 22.92/23.09 tff(f946,plain,( 22.92/23.09 ~$less(f(1),$sum(3,1)) | ~spl0_100), 22.92/23.09 inference(resolution,[],[f879,f16])). 22.92/23.09 tff(f947,plain,( 22.92/23.09 ~$less(f(1),4) | ~spl0_100), 22.92/23.09 inference(evaluation,[],[f946])). 22.92/23.09 tff(f952,plain,( 22.92/23.09 spl0_105 <=> ~$less(f(1),4)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_105])])). 22.92/23.09 tff(f954,plain,( 22.92/23.09 ~spl0_105 | ~spl0_100), 22.92/23.09 inference(AVATAR_split_clause,[],[f947,f878,f952])). 22.92/23.09 tff(f955,plain,( 22.92/23.09 ~$less(10,f(f(6))) | ~spl0_35), 22.92/23.09 inference(resolution,[],[f305,f28])). 22.92/23.09 tff(f957,plain,( 22.92/23.09 $less(f(f(f(6))),10) | f(f(f(6))) = 10 | ~spl0_35), 22.92/23.09 inference(resolution,[],[f305,f12])). 22.92/23.09 tff(f958,plain,( 22.92/23.09 $less(f(f(f(6))),10) | f(f(f(6))) = 10 | ~spl0_35), 22.92/23.09 inference(resolution,[],[f305,f12])). 22.92/23.09 tff(f959,plain,( 22.92/23.09 $less(f(f(f(6))),$sum(10,1)) | ~spl0_35), 22.92/23.09 inference(resolution,[],[f305,f14])). 22.92/23.09 tff(f960,plain,( 22.92/23.09 $less(f(f(f(6))),11) | ~spl0_35), 22.92/23.09 inference(evaluation,[],[f959])). 22.92/23.09 tff(f965,plain,( 22.92/23.09 spl0_107 <=> ~$less(10,f(f(6)))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_107])])). 22.92/23.09 tff(f967,plain,( 22.92/23.09 ~spl0_107 | spl0_35), 22.92/23.09 inference(AVATAR_split_clause,[],[f955,f304,f965])). 22.92/23.09 tff(f972,plain,( 22.92/23.09 spl0_108 <=> f(f(f(6))) = 10), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_108])])). 22.92/23.09 tff(f978,plain,( 22.92/23.09 spl0_110 <=> $less(f(f(f(6))),10)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_110])])). 22.92/23.09 tff(f980,plain,( 22.92/23.09 spl0_108 | spl0_110 | spl0_35), 22.92/23.09 inference(AVATAR_split_clause,[],[f957,f304,f978,f972])). 22.92/23.09 tff(f981,plain,( 22.92/23.09 spl0_108 | spl0_110 | spl0_35), 22.92/23.09 inference(AVATAR_split_clause,[],[f958,f304,f978,f972])). 22.92/23.09 tff(f986,plain,( 22.92/23.09 spl0_112 <=> $less(f(f(f(6))),11)), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_112])])). 22.92/23.09 tff(f988,plain,( 22.92/23.09 spl0_112 | spl0_35), 22.92/23.09 inference(AVATAR_split_clause,[],[f960,f304,f986])). 22.92/23.09 tff(f989,plain,( 22.92/23.09 ~$less(9,f(f(6))) | ~spl0_37), 22.92/23.09 inference(resolution,[],[f312,f28])). 22.92/23.09 tff(f993,plain,( 22.92/23.09 $less(f(f(f(6))),$sum(9,1)) | ~spl0_37), 22.92/23.09 inference(resolution,[],[f312,f14])). 22.92/23.09 tff(f994,plain,( 22.92/23.09 $less(f(f(f(6))),10) | ~spl0_37), 22.92/23.09 inference(evaluation,[],[f993])). 22.92/23.09 tff(f999,plain,( 22.92/23.09 spl0_115 <=> ~$less(9,f(f(6)))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_115])])). 22.92/23.09 tff(f1001,plain,( 22.92/23.09 ~spl0_115 | spl0_37), 22.92/23.09 inference(AVATAR_split_clause,[],[f989,f311,f999])). 22.92/23.09 tff(f1002,plain,( 22.92/23.09 spl0_110 | spl0_37), 22.92/23.09 inference(AVATAR_split_clause,[],[f994,f311,f978])). 22.92/23.09 tff(f1030,plain,( 22.92/23.09 $less(1,f(-1)) | f(-1) = 1 | ~spl0_103), 22.92/23.09 inference(resolution,[],[f932,f12])). 22.92/23.09 tff(f1031,plain,( 22.92/23.09 $less(1,f(-1)) | f(-1) = 1 | ~spl0_103), 22.92/23.09 inference(resolution,[],[f932,f12])). 22.92/23.09 tff(f1039,plain,( 22.92/23.09 spl0_116 <=> f(-1) = 1), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_116])])). 22.92/23.09 tff(f1045,plain,( 22.92/23.09 spl0_118 <=> $less(1,f(-1))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_118])])). 22.92/23.09 tff(f1046,plain,( 22.92/23.09 $less(1,f(-1)) | ~spl0_118), 22.92/23.09 inference(AVATAR_component_clause,[],[f1045])). 22.92/23.09 tff(f1047,plain,( 22.92/23.09 spl0_116 | spl0_118 | spl0_103), 22.92/23.09 inference(AVATAR_split_clause,[],[f1030,f931,f1045,f1039])). 22.92/23.09 tff(f1048,plain,( 22.92/23.09 spl0_116 | spl0_118 | spl0_103), 22.92/23.09 inference(AVATAR_split_clause,[],[f1031,f931,f1045,f1039])). 22.92/23.09 tff(f1049,plain,( 22.92/23.09 $less(f(6),f(9)) | ~spl0_16), 22.92/23.09 inference(resolution,[],[f143,f166])). 22.92/23.09 tff(f1050,plain,( 22.92/23.09 $less(f(f(6)),f(9)) | ~spl0_0), 22.92/23.09 inference(resolution,[],[f143,f26])). 22.92/23.09 tff(f1051,plain,( 22.92/23.09 $less(f(f(6)),f(8)) | ~spl0_30), 22.92/23.09 inference(resolution,[],[f143,f227])). 22.92/23.09 tff(f1081,plain,( 22.92/23.09 spl0_120 <=> $less(f(6),f(9))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_120])])). 22.92/23.09 tff(f1083,plain,( 22.92/23.09 spl0_120 | ~spl0_16), 22.92/23.09 inference(AVATAR_split_clause,[],[f1049,f165,f1081])). 22.92/23.09 tff(f1088,plain,( 22.92/23.09 spl0_122 <=> $less(f(f(6)),f(9))), 22.92/23.09 introduced(AVATAR_definition,[new_symbols(naming,[spl0_122])])). 22.92/23.09 tff(f1090,plain,( 22.92/23.09 spl0_122 | ~spl0_0), 22.92/23.09 inference(AVATAR_split_clause,[],[f1050,f25,f1088])). 22.92/23.09 tff(f1091,plain,( 22.92/23.09 spl0_90 | ~spl0_30), 22.92/23.09 inference(AVATAR_split_clause,[],[f1051,f226,f771])). 22.92/23.09 tff(f1114,plain,( 22.92/23.09 $less($sum(f(6),0),$sum(f(0),f(6)))), 22.92/23.09 inference(Instantiation,[],[f235])). 22.92/23.09 tff(f1130,plain,( 22.92/23.09 $less(f(6),$sum(f(0),f(6)))), 22.92/23.09 inference(evaluation,[],[f1114])). 22.92/23.09 tff(f1139,plain,( 22.92/23.09 $less(f(6),$sum(1,f(6))) | ~spl0_22), 22.92/23.09 inference(forward_demodulation,[],[f1130,f194])). 22.92/23.10 tff(f1144,plain,( 22.92/23.10 spl0_124 <=> $less(f(6),$sum(1,f(6)))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_124])])). 22.92/23.10 tff(f1146,plain,( 22.92/23.10 spl0_124 | ~spl0_22), 22.92/23.10 inference(AVATAR_split_clause,[],[f1139,f193,f1144])). 22.92/23.10 tff(f1150,plain,( 22.92/23.10 ~$less(f(-1),$sum(1,1)) | ~spl0_118), 22.92/23.10 inference(resolution,[],[f1046,f16])). 22.92/23.10 tff(f1151,plain,( 22.92/23.10 ~$less(f(-1),2) | ~spl0_118), 22.92/23.10 inference(evaluation,[],[f1150])). 22.92/23.10 tff(f1156,plain,( 22.92/23.10 spl0_127 <=> ~$less(f(-1),2)), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_127])])). 22.92/23.10 tff(f1157,plain,( 22.92/23.10 ~$less(f(-1),2) | ~spl0_127), 22.92/23.10 inference(AVATAR_component_clause,[],[f1156])). 22.92/23.10 tff(f1158,plain,( 22.92/23.10 ~spl0_127 | ~spl0_118), 22.92/23.10 inference(AVATAR_split_clause,[],[f1151,f1045,f1156])). 22.92/23.10 tff(f1178,plain,( 22.92/23.10 $less($sum(0,f(6)),$sum(f(6),f(0)))), 22.92/23.10 inference(Instantiation,[],[f241])). 22.92/23.10 tff(f1194,plain,( 22.92/23.10 $less(f(6),$sum(f(6),f(0)))), 22.92/23.10 inference(evaluation,[],[f1178])). 22.92/23.10 tff(f1200,plain,( 22.92/23.10 $less(f(6),$sum(f(0),f(6)))), 22.92/23.10 inference(forward_demodulation,[],[f1194,f5])). 22.92/23.10 tff(f1201,plain,( 22.92/23.10 $less(f(6),$sum(1,f(6))) | ~spl0_22), 22.92/23.10 inference(forward_demodulation,[],[f1200,f194])). 22.92/23.10 tff(f1202,plain,( 22.92/23.10 spl0_124 | ~spl0_22), 22.92/23.10 inference(AVATAR_split_clause,[],[f1201,f193,f1144])). 22.92/23.10 tff(f1203,plain,( 22.92/23.10 $less(f(f(6)),f(f(9))) | ~spl0_42), 22.92/23.10 inference(resolution,[],[f357,f143])). 22.92/23.10 tff(f1204,plain,( 22.92/23.10 $less(f(f(6)),f(9)) | ~spl0_42), 22.92/23.10 inference(resolution,[],[f357,f29])). 22.92/23.10 tff(f1208,plain,( 22.92/23.10 ~$less(f(9),$sum(f(f(f(6))),1)) | ~spl0_42), 22.92/23.10 inference(resolution,[],[f357,f16])). 22.92/23.10 tff(f1213,plain,( 22.92/23.10 spl0_128 <=> $less(f(f(6)),f(f(9)))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_128])])). 22.92/23.10 tff(f1215,plain,( 22.92/23.10 spl0_128 | ~spl0_42), 22.92/23.10 inference(AVATAR_split_clause,[],[f1203,f356,f1213])). 22.92/23.10 tff(f1216,plain,( 22.92/23.10 spl0_122 | ~spl0_42), 22.92/23.10 inference(AVATAR_split_clause,[],[f1204,f356,f1088])). 22.92/23.10 tff(f1217,plain,( 22.92/23.10 ~$less(f(9),$sum(1,f(f(f(6))))) | ~spl0_42), 22.92/23.10 inference(forward_demodulation,[],[f1208,f5])). 22.92/23.10 tff(f1222,plain,( 22.92/23.10 spl0_131 <=> ~$less(f(9),$sum(1,f(f(f(6)))))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_131])])). 22.92/23.10 tff(f1224,plain,( 22.92/23.10 ~spl0_131 | ~spl0_42), 22.92/23.10 inference(AVATAR_split_clause,[],[f1217,f356,f1222])). 22.92/23.10 tff(f1226,plain,( 22.92/23.10 $less(2,f(-1)) | f(-1) = 2 | ~spl0_127), 22.92/23.10 inference(resolution,[],[f1157,f12])). 22.92/23.10 tff(f1227,plain,( 22.92/23.10 $less(2,f(-1)) | f(-1) = 2 | ~spl0_127), 22.92/23.10 inference(resolution,[],[f1157,f12])). 22.92/23.10 tff(f1235,plain,( 22.92/23.10 spl0_132 <=> f(-1) = 2), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_132])])). 22.92/23.10 tff(f1241,plain,( 22.92/23.10 spl0_134 <=> $less(2,f(-1))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_134])])). 22.92/23.10 tff(f1242,plain,( 22.92/23.10 $less(2,f(-1)) | ~spl0_134), 22.92/23.10 inference(AVATAR_component_clause,[],[f1241])). 22.92/23.10 tff(f1243,plain,( 22.92/23.10 spl0_132 | spl0_134 | spl0_127), 22.92/23.10 inference(AVATAR_split_clause,[],[f1226,f1156,f1241,f1235])). 22.92/23.10 tff(f1244,plain,( 22.92/23.10 spl0_132 | spl0_134 | spl0_127), 22.92/23.10 inference(AVATAR_split_clause,[],[f1227,f1156,f1241,f1235])). 22.92/23.10 tff(f1248,plain,( 22.92/23.10 ~$less($uminus(f(f(f(6)))),$sum(-9,1)) | ~spl0_44), 22.92/23.10 inference(resolution,[],[f402,f16])). 22.92/23.10 tff(f1249,plain,( 22.92/23.10 ~$less($uminus(f(f(f(6)))),-8) | ~spl0_44), 22.92/23.10 inference(evaluation,[],[f1248])). 22.92/23.10 tff(f1254,plain,( 22.92/23.10 spl0_137 <=> ~$less($uminus(f(f(f(6)))),-8)), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_137])])). 22.92/23.10 tff(f1256,plain,( 22.92/23.10 ~spl0_137 | ~spl0_44), 22.92/23.10 inference(AVATAR_split_clause,[],[f1249,f401,f1254])). 22.92/23.10 tff(f1257,plain,( 22.92/23.10 ~$less(9,$sum(f(6),1)) | ~spl0_16), 22.92/23.10 inference(resolution,[],[f40,f166])). 22.92/23.10 tff(f1259,plain,( 22.92/23.10 ~$less(8,$sum(f(f(6)),1)) | ~spl0_30), 22.92/23.10 inference(resolution,[],[f40,f227])). 22.92/23.10 tff(f1260,plain,( 22.92/23.10 ~$less(f(9),$sum(f(f(6)),1)) | ~spl0_42), 22.92/23.10 inference(resolution,[],[f40,f357])). 22.92/23.10 tff(f1275,plain,( 22.92/23.10 ~$less(f(9),f(6)) | ~$less(f(6),$sum(9,1))), 22.92/23.10 inference(Instantiation,[],[f40])). 22.92/23.10 tff(f1277,plain,( 22.92/23.10 ~$less(f(0),f(6)) | ~$less(f(6),$sum(0,1))), 22.92/23.10 inference(Instantiation,[],[f40])). 22.92/23.10 tff(f1278,plain,( 22.92/23.10 ~$less(f(1),f(6)) | ~$less(f(6),$sum(1,1))), 22.92/23.10 inference(Instantiation,[],[f40])). 22.92/23.10 tff(f1279,plain,( 22.92/23.10 ~$less(f(1),f(6)) | ~$less(f(6),$sum(1,1))), 22.92/23.10 inference(Instantiation,[],[f40])). 22.92/23.10 tff(f1280,plain,( 22.92/23.10 ~$less(f(1),f(f(6))) | ~$less(f(f(6)),$sum(1,1))), 22.92/23.10 inference(Instantiation,[],[f40])). 22.92/23.10 tff(f1281,plain,( 22.92/23.10 ~$less(f(1),f(f(f(6)))) | ~$less(f(f(f(6))),$sum(1,1))), 22.92/23.10 inference(Instantiation,[],[f40])). 22.92/23.10 tff(f1288,plain,( 22.92/23.10 ~$less(f(1),f(f(f(6)))) | ~$less(f(f(f(6))),2)), 22.92/23.10 inference(evaluation,[],[f1281])). 22.92/23.10 tff(f1289,plain,( 22.92/23.10 ~$less(f(1),f(f(6))) | ~$less(f(f(6)),2)), 22.92/23.10 inference(evaluation,[],[f1280])). 22.92/23.10 tff(f1290,plain,( 22.92/23.10 ~$less(f(1),f(6)) | ~$less(f(6),2)), 22.92/23.10 inference(evaluation,[],[f1279])). 22.92/23.10 tff(f1291,plain,( 22.92/23.10 ~$less(f(1),f(6)) | ~$less(f(6),2)), 22.92/23.10 inference(evaluation,[],[f1278])). 22.92/23.10 tff(f1292,plain,( 22.92/23.10 ~$less(f(0),f(6)) | ~$less(f(6),1)), 22.92/23.10 inference(evaluation,[],[f1277])). 22.92/23.10 tff(f1294,plain,( 22.92/23.10 ~$less(f(9),f(6)) | ~$less(f(6),10)), 22.92/23.10 inference(evaluation,[],[f1275])). 22.92/23.10 tff(f1296,plain,( 22.92/23.10 ~$less($sum(8,-1),f(f(6))) | ~spl0_30), 22.92/23.10 inference(evaluation,[],[f1259])). 22.92/23.10 tff(f1297,plain,( 22.92/23.10 ~$less(7,f(f(6))) | ~spl0_30), 22.92/23.10 inference(evaluation,[],[f1296])). 22.92/23.10 tff(f1300,plain,( 22.92/23.10 ~$less($sum(9,-1),f(6)) | ~spl0_16), 22.92/23.10 inference(evaluation,[],[f1257])). 22.92/23.10 tff(f1301,plain,( 22.92/23.10 ~$less(8,f(6)) | ~spl0_16), 22.92/23.10 inference(evaluation,[],[f1300])). 22.92/23.10 tff(f1302,plain,( 22.92/23.10 ~spl0_73 | ~spl0_16), 22.92/23.10 inference(AVATAR_split_clause,[],[f1301,f165,f617])). 22.92/23.10 tff(f1303,plain,( 22.92/23.10 ~spl0_89 | ~spl0_30), 22.92/23.10 inference(AVATAR_split_clause,[],[f1297,f226,f763])). 22.92/23.10 tff(f1304,plain,( 22.92/23.10 ~$less(f(9),$sum(1,f(f(6)))) | ~spl0_42), 22.92/23.10 inference(forward_demodulation,[],[f1260,f5])). 22.92/23.10 tff(f1309,plain,( 22.92/23.10 spl0_139 <=> ~$less(f(9),$sum(1,f(f(6))))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_139])])). 22.92/23.10 tff(f1311,plain,( 22.92/23.10 ~spl0_139 | ~spl0_42), 22.92/23.10 inference(AVATAR_split_clause,[],[f1304,f356,f1309])). 22.92/23.10 tff(f1317,plain,( 22.92/23.10 spl0_141 <=> ~$less(f(6),10)), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_141])])). 22.92/23.10 tff(f1323,plain,( 22.92/23.10 spl0_143 <=> ~$less(f(9),f(6))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_143])])). 22.92/23.10 tff(f1325,plain,( 22.92/23.10 ~spl0_141 | ~spl0_143), 22.92/23.10 inference(AVATAR_split_clause,[],[f1294,f1323,f1317])). 22.92/23.10 tff(f1326,plain,( 22.92/23.10 ~$less(1,f(6)) | ~$less(f(6),1) | ~spl0_22), 22.92/23.10 inference(forward_demodulation,[],[f1292,f194])). 22.92/23.10 tff(f1327,plain,( 22.92/23.10 ~$less(f(6),1) | (~spl0_14 | ~spl0_22)), 22.92/23.10 inference(subsumption_resolution,[],[f1326,f134])). 22.92/23.10 tff(f1329,plain,( 22.92/23.10 spl0_144 <=> $less(f(6),1)), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_144])])). 22.92/23.10 tff(f1332,plain,( 22.92/23.10 spl0_145 <=> ~$less(f(6),1)), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_145])])). 22.92/23.10 tff(f1334,plain,( 22.92/23.10 ~spl0_145 | ~spl0_14 | ~spl0_22), 22.92/23.10 inference(AVATAR_split_clause,[],[f1327,f193,f133,f1332])). 22.92/23.10 tff(f1339,plain,( 22.92/23.10 spl0_147 <=> ~$less(f(1),f(6))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_147])])). 22.92/23.10 tff(f1341,plain,( 22.92/23.10 ~spl0_53 | ~spl0_147), 22.92/23.10 inference(AVATAR_split_clause,[],[f1291,f1339,f454])). 22.92/23.10 tff(f1342,plain,( 22.92/23.10 ~spl0_53 | ~spl0_147), 22.92/23.10 inference(AVATAR_split_clause,[],[f1290,f1339,f454])). 22.92/23.10 tff(f1347,plain,( 22.92/23.10 spl0_149 <=> ~$less(f(f(6)),2)), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_149])])). 22.92/23.10 tff(f1353,plain,( 22.92/23.10 spl0_151 <=> ~$less(f(1),f(f(6)))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_151])])). 22.92/23.10 tff(f1355,plain,( 22.92/23.10 ~spl0_149 | ~spl0_151), 22.92/23.10 inference(AVATAR_split_clause,[],[f1289,f1353,f1347])). 22.92/23.10 tff(f1360,plain,( 22.92/23.10 spl0_153 <=> ~$less(f(f(f(6))),2)), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_153])])). 22.92/23.10 tff(f1366,plain,( 22.92/23.10 spl0_155 <=> ~$less(f(1),f(f(f(6))))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_155])])). 22.92/23.10 tff(f1368,plain,( 22.92/23.10 ~spl0_153 | ~spl0_155), 22.92/23.10 inference(AVATAR_split_clause,[],[f1288,f1366,f1360])). 22.92/23.10 tff(f1381,plain,( 22.92/23.10 ~$less(f(f(6)),$sum(9,1)) | ~$less(9,f(6))), 22.92/23.10 inference(Instantiation,[],[f103])). 22.92/23.10 tff(f1382,plain,( 22.92/23.10 ~$less(f(f(6)),$sum(6,1)) | ~$less(6,f(6))), 22.92/23.10 inference(Instantiation,[],[f103])). 22.92/23.10 tff(f1383,plain,( 22.92/23.10 ~$less(f(f(6)),$sum(0,1)) | ~$less(0,f(6))), 22.92/23.10 inference(Instantiation,[],[f103])). 22.92/23.10 tff(f1384,plain,( 22.92/23.10 ~$less(f(f(6)),$sum(1,1)) | ~$less(1,f(6))), 22.92/23.10 inference(Instantiation,[],[f103])). 22.92/23.10 tff(f1385,plain,( 22.92/23.10 ~$less(f(f(6)),$sum(1,1)) | ~$less(1,f(6))), 22.92/23.10 inference(Instantiation,[],[f103])). 22.92/23.10 tff(f1386,plain,( 22.92/23.10 ~$less(f(f(f(6))),$sum(1,1)) | ~$less(1,f(f(6)))), 22.92/23.10 inference(Instantiation,[],[f103])). 22.92/23.10 tff(f1387,plain,( 22.92/23.10 ~$less(f(f(f(f(6)))),$sum(1,1)) | ~$less(1,f(f(f(6))))), 22.92/23.10 inference(Instantiation,[],[f103])). 22.92/23.10 tff(f1388,plain,( 22.92/23.10 ~$less(f(9),$sum(1,1)) | ~$less(1,9)), 22.92/23.10 inference(Instantiation,[],[f103])). 22.92/23.10 tff(f1389,plain,( 22.92/23.10 ~$less(f(6),$sum(1,1)) | ~$less(1,6)), 22.92/23.10 inference(Instantiation,[],[f103])). 22.92/23.10 tff(f1392,plain,( 22.92/23.10 ~$less(f(6),2)), 22.92/23.10 inference(evaluation,[],[f1389])). 22.92/23.10 tff(f1393,plain,( 22.92/23.10 ~$less(f(9),2)), 22.92/23.10 inference(evaluation,[],[f1388])). 22.92/23.10 tff(f1394,plain,( 22.92/23.10 ~$less(f(f(f(f(6)))),2) | ~$less(1,f(f(f(6))))), 22.92/23.10 inference(evaluation,[],[f1387])). 22.92/23.10 tff(f1395,plain,( 22.92/23.10 ~$less(f(f(f(6))),2) | ~$less(1,f(f(6)))), 22.92/23.10 inference(evaluation,[],[f1386])). 22.92/23.10 tff(f1396,plain,( 22.92/23.10 ~$less(f(f(6)),2) | ~$less(1,f(6))), 22.92/23.10 inference(evaluation,[],[f1385])). 22.92/23.10 tff(f1397,plain,( 22.92/23.10 ~$less(f(f(6)),2) | ~$less(1,f(6))), 22.92/23.10 inference(evaluation,[],[f1384])). 22.92/23.10 tff(f1398,plain,( 22.92/23.10 ~$less(f(f(6)),1) | ~$less(0,f(6))), 22.92/23.10 inference(evaluation,[],[f1383])). 22.92/23.10 tff(f1399,plain,( 22.92/23.10 ~$less(f(f(6)),7) | ~$less(6,f(6))), 22.92/23.10 inference(evaluation,[],[f1382])). 22.92/23.10 tff(f1400,plain,( 22.92/23.10 ~$less(f(f(6)),10) | ~$less(9,f(6))), 22.92/23.10 inference(evaluation,[],[f1381])). 22.92/23.10 tff(f1408,plain,( 22.92/23.10 spl0_157 <=> ~$less(9,f(6))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_157])])). 22.92/23.10 tff(f1414,plain,( 22.92/23.10 spl0_159 <=> ~$less(f(f(6)),10)), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_159])])). 22.92/23.10 tff(f1416,plain,( 22.92/23.10 ~spl0_157 | ~spl0_159), 22.92/23.10 inference(AVATAR_split_clause,[],[f1400,f1414,f1408])). 22.92/23.10 tff(f1417,plain,( 22.92/23.10 ~$less(f(f(6)),7)), 22.92/23.10 inference(subsumption_resolution,[],[f1399,f19])). 22.92/23.10 tff(f1422,plain,( 22.92/23.10 spl0_161 <=> ~$less(f(f(6)),7)), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_161])])). 22.92/23.10 tff(f1424,plain,( 22.92/23.10 ~spl0_161), 22.92/23.10 inference(AVATAR_split_clause,[],[f1417,f1422])). 22.92/23.10 tff(f1426,plain,( 22.92/23.10 spl0_162 <=> $less(0,f(6))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_162])])). 22.92/23.10 tff(f1429,plain,( 22.92/23.10 spl0_163 <=> ~$less(0,f(6))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_163])])). 22.92/23.10 tff(f1435,plain,( 22.92/23.10 spl0_165 <=> ~$less(f(f(6)),1)), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_165])])). 22.92/23.10 tff(f1437,plain,( 22.92/23.10 ~spl0_163 | ~spl0_165), 22.92/23.10 inference(AVATAR_split_clause,[],[f1398,f1435,f1429])). 22.92/23.10 tff(f1438,plain,( 22.92/23.10 ~$less(f(f(6)),2) | ~spl0_14), 22.92/23.10 inference(subsumption_resolution,[],[f1397,f134])). 22.92/23.10 tff(f1439,plain,( 22.92/23.10 ~spl0_149 | ~spl0_14), 22.92/23.10 inference(AVATAR_split_clause,[],[f1438,f133,f1347])). 22.92/23.10 tff(f1440,plain,( 22.92/23.10 ~$less(f(f(6)),2) | ~spl0_14), 22.92/23.10 inference(subsumption_resolution,[],[f1396,f134])). 22.92/23.10 tff(f1441,plain,( 22.92/23.10 ~spl0_149 | ~spl0_14), 22.92/23.10 inference(AVATAR_split_clause,[],[f1440,f133,f1347])). 22.92/23.10 tff(f1446,plain,( 22.92/23.10 spl0_167 <=> ~$less(1,f(f(6)))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_167])])). 22.92/23.10 tff(f1448,plain,( 22.92/23.10 ~spl0_167 | ~spl0_153), 22.92/23.10 inference(AVATAR_split_clause,[],[f1395,f1360,f1446])). 22.92/23.10 tff(f1453,plain,( 22.92/23.10 spl0_169 <=> ~$less(1,f(f(f(6))))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_169])])). 22.92/23.10 tff(f1459,plain,( 22.92/23.10 spl0_171 <=> ~$less(f(f(f(f(6)))),2)), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_171])])). 22.92/23.10 tff(f1461,plain,( 22.92/23.10 ~spl0_169 | ~spl0_171), 22.92/23.10 inference(AVATAR_split_clause,[],[f1394,f1459,f1453])). 22.92/23.10 tff(f1462,plain,( 22.92/23.10 ~spl0_59), 22.92/23.10 inference(AVATAR_split_clause,[],[f1393,f494])). 22.92/23.10 tff(f1463,plain,( 22.92/23.10 ~spl0_53), 22.92/23.10 inference(AVATAR_split_clause,[],[f1392,f454])). 22.92/23.10 tff(f1467,plain,( 22.92/23.10 ~$less(f(-1),$sum(2,1)) | ~spl0_134), 22.92/23.10 inference(resolution,[],[f1242,f16])). 22.92/23.10 tff(f1468,plain,( 22.92/23.10 ~$less(f(-1),3) | ~spl0_134), 22.92/23.10 inference(evaluation,[],[f1467])). 22.92/23.10 tff(f1473,plain,( 22.92/23.10 spl0_173 <=> ~$less(f(-1),3)), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_173])])). 22.92/23.10 tff(f1474,plain,( 22.92/23.10 ~$less(f(-1),3) | ~spl0_173), 22.92/23.10 inference(AVATAR_component_clause,[],[f1473])). 22.92/23.10 tff(f1475,plain,( 22.92/23.10 ~spl0_173 | ~spl0_134), 22.92/23.10 inference(AVATAR_split_clause,[],[f1468,f1241,f1473])). 22.92/23.10 tff(f1498,plain,( 22.92/23.10 $less(9,$sum(f(6),1)) | $less(f(6),f(9))), 22.92/23.10 inference(Instantiation,[],[f141])). 22.92/23.10 tff(f1499,plain,( 22.92/23.10 $less(6,$sum(f(6),1)) | $less(f(6),f(6))), 22.92/23.10 inference(Instantiation,[],[f141])). 22.92/23.10 tff(f1500,plain,( 22.92/23.10 $less(0,$sum(f(6),1)) | $less(f(6),f(0))), 22.92/23.10 inference(Instantiation,[],[f141])). 22.92/23.10 tff(f1501,plain,( 22.92/23.10 $less(1,$sum(f(6),1)) | $less(f(6),f(1))), 22.92/23.10 inference(Instantiation,[],[f141])). 22.92/23.10 tff(f1502,plain,( 22.92/23.10 $less(1,$sum(f(6),1)) | $less(f(6),f(1))), 22.92/23.10 inference(Instantiation,[],[f141])). 22.92/23.10 tff(f1503,plain,( 22.92/23.10 $less(1,$sum(f(f(6)),1)) | $less(f(f(6)),f(1))), 22.92/23.10 inference(Instantiation,[],[f141])). 22.92/23.10 tff(f1504,plain,( 22.92/23.10 $less(1,$sum(f(f(f(6))),1)) | $less(f(f(f(6))),f(1))), 22.92/23.10 inference(Instantiation,[],[f141])). 22.92/23.10 tff(f1510,plain,( 22.92/23.10 $less($sum(1,-1),f(f(f(6)))) | $less(f(f(f(6))),f(1))), 22.92/23.10 inference(evaluation,[],[f1504])). 22.92/23.10 tff(f1511,plain,( 22.92/23.10 $less(0,f(f(f(6)))) | $less(f(f(f(6))),f(1))), 22.92/23.10 inference(evaluation,[],[f1510])). 22.92/23.10 tff(f1512,plain,( 22.92/23.10 $less($sum(1,-1),f(f(6))) | $less(f(f(6)),f(1))), 22.92/23.10 inference(evaluation,[],[f1503])). 22.92/23.10 tff(f1513,plain,( 22.92/23.10 $less(0,f(f(6))) | $less(f(f(6)),f(1))), 22.92/23.10 inference(evaluation,[],[f1512])). 22.92/23.10 tff(f1514,plain,( 22.92/23.10 $less($sum(1,-1),f(6)) | $less(f(6),f(1))), 22.92/23.10 inference(evaluation,[],[f1502])). 22.92/23.10 tff(f1515,plain,( 22.92/23.10 $less(0,f(6)) | $less(f(6),f(1))), 22.92/23.10 inference(evaluation,[],[f1514])). 22.92/23.10 tff(f1516,plain,( 22.92/23.10 $less($sum(1,-1),f(6)) | $less(f(6),f(1))), 22.92/23.10 inference(evaluation,[],[f1501])). 22.92/23.10 tff(f1517,plain,( 22.92/23.10 $less(0,f(6)) | $less(f(6),f(1))), 22.92/23.10 inference(evaluation,[],[f1516])). 22.92/23.10 tff(f1518,plain,( 22.92/23.10 $less($uminus(1),f(6)) | $less(f(6),f(0))), 22.92/23.10 inference(evaluation,[],[f1500])). 22.92/23.10 tff(f1519,plain,( 22.92/23.10 $less(-1,f(6)) | $less(f(6),f(0))), 22.92/23.10 inference(evaluation,[],[f1518])). 22.92/23.10 tff(f1520,plain,( 22.92/23.10 $less($sum(6,-1),f(6)) | $less(f(6),f(6))), 22.92/23.10 inference(evaluation,[],[f1499])). 22.92/23.10 tff(f1521,plain,( 22.92/23.10 $less(5,f(6)) | $less(f(6),f(6))), 22.92/23.10 inference(evaluation,[],[f1520])). 22.92/23.10 tff(f1522,plain,( 22.92/23.10 $less($sum(9,-1),f(6)) | $less(f(6),f(9))), 22.92/23.10 inference(evaluation,[],[f1498])). 22.92/23.10 tff(f1523,plain,( 22.92/23.10 $less(8,f(6)) | $less(f(6),f(9))), 22.92/23.10 inference(evaluation,[],[f1522])). 22.92/23.10 tff(f1525,plain,( 22.92/23.10 spl0_120 | spl0_72), 22.92/23.10 inference(AVATAR_split_clause,[],[f1523,f614,f1081])). 22.92/23.10 tff(f1526,plain,( 22.92/23.10 $less(5,f(6))), 22.92/23.10 inference(subsumption_resolution,[],[f1521,f10])). 22.92/23.10 tff(f1531,plain,( 22.92/23.10 spl0_174 <=> $less(5,f(6))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_174])])). 22.92/23.10 tff(f1533,plain,( 22.92/23.10 spl0_174), 22.92/23.10 inference(AVATAR_split_clause,[],[f1526,f1531])). 22.92/23.10 tff(f1534,plain,( 22.92/23.10 $less(f(6),1) | $less(-1,f(6)) | ~spl0_22), 22.92/23.10 inference(forward_demodulation,[],[f1519,f194])). 22.92/23.10 tff(f1539,plain,( 22.92/23.10 spl0_176 <=> $less(-1,f(6))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_176])])). 22.92/23.10 tff(f1541,plain,( 22.92/23.10 spl0_176 | spl0_144 | ~spl0_22), 22.92/23.10 inference(AVATAR_split_clause,[],[f1534,f193,f1329,f1539])). 22.92/23.10 tff(f1546,plain,( 22.92/23.10 spl0_178 <=> $less(f(6),f(1))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_178])])). 22.92/23.10 tff(f1548,plain,( 22.92/23.10 spl0_178 | spl0_162), 22.92/23.10 inference(AVATAR_split_clause,[],[f1517,f1426,f1546])). 22.92/23.10 tff(f1549,plain,( 22.92/23.10 spl0_178 | spl0_162), 22.92/23.10 inference(AVATAR_split_clause,[],[f1515,f1426,f1546])). 22.92/23.10 tff(f1554,plain,( 22.92/23.10 spl0_180 <=> $less(f(f(6)),f(1))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_180])])). 22.92/23.10 tff(f1560,plain,( 22.92/23.10 spl0_182 <=> $less(0,f(f(6)))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_182])])). 22.92/23.10 tff(f1562,plain,( 22.92/23.10 spl0_180 | spl0_182), 22.92/23.10 inference(AVATAR_split_clause,[],[f1513,f1560,f1554])). 22.92/23.10 tff(f1567,plain,( 22.92/23.10 spl0_184 <=> $less(f(f(f(6))),f(1))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_184])])). 22.92/23.10 tff(f1573,plain,( 22.92/23.10 spl0_186 <=> $less(0,f(f(f(6))))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_186])])). 22.92/23.10 tff(f1575,plain,( 22.92/23.10 spl0_184 | spl0_186), 22.92/23.10 inference(AVATAR_split_clause,[],[f1511,f1573,f1567])). 22.92/23.10 tff(f1609,plain,( 22.92/23.10 $less(f(6),$sum(1,f(6))) | (~spl0_22 | ~spl0_32)), 22.92/23.10 inference(forward_demodulation,[],[f278,f194])). 22.92/23.10 tff(f1610,plain,( 22.92/23.10 spl0_124 | ~spl0_22 | ~spl0_32), 22.92/23.10 inference(AVATAR_split_clause,[],[f1609,f277,f193,f1144])). 22.92/23.10 tff(f1612,plain,( 22.92/23.10 $less(3,f(-1)) | f(-1) = 3 | ~spl0_173), 22.92/23.10 inference(resolution,[],[f1474,f12])). 22.92/23.10 tff(f1613,plain,( 22.92/23.10 $less(3,f(-1)) | f(-1) = 3 | ~spl0_173), 22.92/23.10 inference(resolution,[],[f1474,f12])). 22.92/23.10 tff(f1621,plain,( 22.92/23.10 spl0_188 <=> f(-1) = 3), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_188])])). 22.92/23.10 tff(f1627,plain,( 22.92/23.10 spl0_190 <=> $less(3,f(-1))), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_190])])). 22.92/23.10 tff(f1629,plain,( 22.92/23.10 spl0_188 | spl0_190 | spl0_173), 22.92/23.10 inference(AVATAR_split_clause,[],[f1612,f1473,f1627,f1621])). 22.92/23.10 tff(f1630,plain,( 22.92/23.10 spl0_188 | spl0_190 | spl0_173), 22.92/23.10 inference(AVATAR_split_clause,[],[f1613,f1473,f1627,f1621])). 22.92/23.10 tff(f1632,plain,( 22.92/23.10 $less(f(6),9) | ~spl0_0), 22.92/23.10 inference(resolution,[],[f281,f19])). 22.92/23.10 tff(f1638,plain,( 22.92/23.10 ~$less(10,f(f(6))) | $less(10,9) | ~spl0_0), 22.92/23.10 inference(Instantiation,[],[f281])). 22.92/23.10 tff(f1639,plain,( 22.92/23.10 ~$less(9,f(f(6))) | $less(9,9) | ~spl0_0), 22.92/23.10 inference(Instantiation,[],[f281])). 22.92/23.10 tff(f1644,plain,( 22.92/23.10 ~$less(9,f(f(6))) | $less(9,9) | ~spl0_0), 22.92/23.10 inference(Instantiation,[],[f281])). 22.92/23.10 tff(f1648,plain,( 22.92/23.10 ~$less(9,f(f(6))) | ~spl0_0), 22.92/23.10 inference(evaluation,[],[f1644])). 22.92/23.10 tff(f1649,plain,( 22.92/23.10 ~$less(9,f(f(6))) | ~spl0_0), 22.92/23.10 inference(evaluation,[],[f1639])). 22.92/23.10 tff(f1650,plain,( 22.92/23.10 ~$less(10,f(f(6))) | ~spl0_0), 22.92/23.10 inference(evaluation,[],[f1638])). 22.92/23.10 tff(f1651,plain,( 22.92/23.10 spl0_60 | ~spl0_0), 22.92/23.10 inference(AVATAR_split_clause,[],[f1632,f25,f516])). 22.92/23.10 tff(f1652,plain,( 22.92/23.10 ~spl0_107 | ~spl0_0), 22.92/23.10 inference(AVATAR_split_clause,[],[f1650,f25,f965])). 22.92/23.10 tff(f1653,plain,( 22.92/23.10 ~spl0_115 | ~spl0_0), 22.92/23.10 inference(AVATAR_split_clause,[],[f1649,f25,f999])). 22.92/23.10 tff(f1654,plain,( 22.92/23.10 ~spl0_115 | ~spl0_0), 22.92/23.10 inference(AVATAR_split_clause,[],[f1648,f25,f999])). 22.92/23.10 tff(f1681,plain,( 22.92/23.10 ~$less(f($sum(1,9)),$sum(1,$sum(9,1)))), 22.92/23.10 inference(Instantiation,[],[f46])). 22.92/23.10 tff(f1682,plain,( 22.92/23.10 ~$less(f($sum(1,6)),$sum(1,$sum(6,1)))), 22.92/23.10 inference(Instantiation,[],[f46])). 22.92/23.10 tff(f1684,plain,( 22.92/23.10 ~$less(f($sum(1,1)),$sum(1,$sum(1,1)))), 22.92/23.10 inference(Instantiation,[],[f46])). 22.92/23.10 tff(f1685,plain,( 22.92/23.10 ~$less(f(2),$sum(1,2))), 22.92/23.10 inference(evaluation,[],[f1684])). 22.92/23.10 tff(f1686,plain,( 22.92/23.10 ~$less(f(2),3)), 22.92/23.10 inference(evaluation,[],[f1685])). 22.92/23.10 tff(f1689,plain,( 22.92/23.10 ~$less(f(7),$sum(1,7))), 22.92/23.10 inference(evaluation,[],[f1682])). 22.92/23.10 tff(f1690,plain,( 22.92/23.10 ~$less(f(7),8)), 22.92/23.10 inference(evaluation,[],[f1689])). 22.92/23.10 tff(f1691,plain,( 22.92/23.10 ~$less(f(10),$sum(1,10))), 22.92/23.10 inference(evaluation,[],[f1681])). 22.92/23.10 tff(f1692,plain,( 22.92/23.10 ~$less(f(10),11)), 22.92/23.10 inference(evaluation,[],[f1691])). 22.92/23.10 tff(f1707,plain,( 22.92/23.10 spl0_193 <=> ~$less(f(10),11)), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_193])])). 22.92/23.10 tff(f1709,plain,( 22.92/23.10 ~spl0_193), 22.92/23.10 inference(AVATAR_split_clause,[],[f1692,f1707])). 22.92/23.10 tff(f1714,plain,( 22.92/23.10 spl0_195 <=> ~$less(f(7),8)), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_195])])). 22.92/23.10 tff(f1716,plain,( 22.92/23.10 ~spl0_195), 22.92/23.10 inference(AVATAR_split_clause,[],[f1690,f1714])). 22.92/23.10 tff(f1721,plain,( 22.92/23.10 spl0_197 <=> ~$less(f(2),3)), 22.92/23.10 introduced(AVATAR_definition,[new_symbols(naming,[spl0_197])])). 22.92/23.10 tff(f1723,plain,( 22.92/23.10 ~spl0_197), 22.92/23.10 inference(AVATAR_split_clause,[],[f1686,f1721])). 22.92/23.10 tff(f1724,plain,( 22.92/23.10 $false), 22.92/23.10 inference(AVATAR_sat_refutation,[],[f27,f65,f72,f79,f86,f99,f128,f135,f167,f175,f182,f201,f202,f215,f228,f229,f279,f299,f306,f313,f314,f333,f334,f358,f403,f436,f437,f444,f456,f475,f476,f496,f518,f525,f526,f557,f558,f571,f590,f591,f599,f600,f619,f632,f633,f666,f673,f681,f719,f726,f757,f758,f765,f766,f773,f774,f781,f789,f808,f809,f816,f817,f838,f839,f840,f841,f860,f861,f880,f881,f920,f933,f941,f942,f954,f967,f980,f981,f988,f1001,f1002,f1047,f1048,f1083,f1090,f1091,f1146,f1158,f1202,f1215,f1216,f1224,f1243,f1244,f1256,f1302,f1303,f1311,f1325,f1334,f1341,f1342,f1355,f1368,f1416,f1424,f1437,f1439,f1441,f1448,f1461,f1462,f1463,f1475,f1525,f1533,f1541,f1548,f1549,f1562,f1575,f1610,f1629,f1630,f1651,f1652,f1653,f1654,f1709,f1716,f1723])). 22.92/23.10 % SZS output end Proof for theBenchmark 22.92/23.10 % ------------------------------ 22.92/23.10 % Version: Vampire 4.1 for CASC J8 Entry 22.92/23.10 % Termination reason: Refutation 22.92/23.10 22.92/23.10 % Memory used [KB]: 1535 22.92/23.10 % Time elapsed: 0.060 s 22.92/23.10 % ------------------------------ 22.92/23.10 % ------------------------------ 22.92/23.10 % Success in time 22.825 s 22.92/23.10 EOF