0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.24 % Computer : n061.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 04:20:54 CDT 2018 0.03/0.24 % CPUTime : 0.03/0.28 % dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark 0.06/0.35 % Refutation not found, incomplete strategy 0.06/0.35 % ------------------------------ 0.06/0.35 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.06/0.35 % Termination reason: Refutation not found, incomplete strategy 0.06/0.35 0.06/0.35 % Memory used [KB]: 5117 0.06/0.35 % Time elapsed: 0.075 s 0.06/0.35 % ------------------------------ 0.06/0.35 % ------------------------------ 0.06/0.39 % lrs+1010_4:1_aac=none:add=off:afp=40000:afq=1.0:amm=sco:anc=none:bd=off:cond=on:gs=on:gsem=on:irw=on:nm=0:nwc=2.5:sas=z3:stl=30:sos=theory:sp=reverse_arity:updr=off_11 on theBenchmark 0.35/0.60 % Refutation found. Thanks to Tanya! 0.35/0.60 % SZS status Theorem for theBenchmark 0.35/0.60 % SZS output start Proof for theBenchmark 0.35/0.60 tff(func_def_6, type, sK0: $int). 0.35/0.60 tff(func_def_7, type, sK1: $int). 0.35/0.60 tff(f1,conjecture,( 0.35/0.60 ! [X0 : $int,X1 : $int] : ? [X2 : $int] : (~($less(X2,$sum(X1,3)) & $less(X1,X2)) & $less(X2,$sum(X0,5)) & $less(X0,X2))), 0.35/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',interv_3_cannot_cover_interv_5)). 0.35/0.60 tff(f2,negated_conjecture,( 0.35/0.60 ~! [X0 : $int,X1 : $int] : ? [X2 : $int] : (~($less(X2,$sum(X1,3)) & $less(X1,X2)) & $less(X2,$sum(X0,5)) & $less(X0,X2))), 0.35/0.60 inference(negated_conjecture,[],[f1])). 0.35/0.60 tff(f3,plain,( 0.35/0.60 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )), 0.35/0.60 introduced(theory_axiom,[])). 0.35/0.60 tff(f4,plain,( 0.35/0.60 ( ! [X2:$int,X0:$int,X1:$int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )), 0.35/0.60 introduced(theory_axiom,[])). 0.35/0.60 tff(f5,plain,( 0.35/0.60 ( ! [X0:$int] : ($sum(X0,0) = X0) )), 0.35/0.60 introduced(theory_axiom,[])). 0.35/0.60 tff(f7,plain,( 0.35/0.60 ( ! [X0:$int] : ($sum(X0,$uminus(X0)) = 0) )), 0.35/0.60 introduced(theory_axiom,[])). 0.35/0.60 tff(f8,plain,( 0.35/0.60 ( ! [X0:$int] : (~$less(X0,X0)) )), 0.35/0.60 introduced(theory_axiom,[])). 0.35/0.60 tff(f9,plain,( 0.35/0.60 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )), 0.35/0.60 introduced(theory_axiom,[])). 0.35/0.60 tff(f10,plain,( 0.35/0.60 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )), 0.35/0.60 introduced(theory_axiom,[])). 0.35/0.60 tff(f11,plain,( 0.35/0.60 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )), 0.35/0.60 introduced(theory_axiom,[])). 0.35/0.60 tff(f12,plain,( 0.35/0.60 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )), 0.35/0.60 introduced(theory_axiom,[])). 0.35/0.60 tff(f14,plain,( 0.35/0.60 ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )), 0.35/0.60 introduced(theory_axiom,[])). 0.35/0.60 tff(f15,plain,( 0.35/0.60 ? [X0 : $int,X1 : $int] : ! [X2 : $int] : (($less(X2,$sum(X1,3)) & $less(X1,X2)) | ~$less(X2,$sum(X0,5)) | ~$less(X0,X2))), 0.35/0.60 inference(ennf_transformation,[],[f2])). 0.35/0.60 tff(f16,plain,( 0.35/0.60 ? [X0 : $int,X1 : $int] : ! [X2 : $int] : (($less(X2,$sum(X1,3)) & $less(X1,X2)) | ~$less(X2,$sum(X0,5)) | ~$less(X0,X2)) => ! [X2 : $int] : (($less(X2,$sum(sK1,3)) & $less(sK1,X2)) | ~$less(X2,$sum(sK0,5)) | ~$less(sK0,X2))), 0.35/0.60 introduced(choice_axiom,[])). 0.35/0.60 tff(f17,plain,( 0.35/0.60 ! [X2 : $int] : (($less(X2,$sum(sK1,3)) & $less(sK1,X2)) | ~$less(X2,$sum(sK0,5)) | ~$less(sK0,X2))), 0.35/0.60 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16])). 0.35/0.60 tff(f18,plain,( 0.35/0.60 ( ! [X2:$int] : ($less(sK1,X2) | ~$less(X2,$sum(sK0,5)) | ~$less(sK0,X2)) )), 0.35/0.60 inference(cnf_transformation,[],[f17])). 0.35/0.60 tff(f19,plain,( 0.35/0.60 ( ! [X2:$int] : ($less(X2,$sum(sK1,3)) | ~$less(X2,$sum(sK0,5)) | ~$less(sK0,X2)) )), 0.35/0.60 inference(cnf_transformation,[],[f17])). 0.35/0.60 tff(f20,plain,( 0.35/0.60 ( ! [X2:$int] : ($less(X2,$sum(3,sK1)) | ~$less(X2,$sum(sK0,5)) | ~$less(sK0,X2)) )), 0.35/0.60 inference(forward_demodulation,[],[f19,f3])). 0.35/0.60 tff(f21,plain,( 0.35/0.60 ( ! [X2:$int] : (~$less(X2,$sum(5,sK0)) | $less(X2,$sum(3,sK1)) | ~$less(sK0,X2)) )), 0.35/0.60 inference(forward_demodulation,[],[f20,f3])). 0.35/0.60 tff(f22,plain,( 0.35/0.60 ( ! [X2:$int] : (~$less(X2,$sum(5,sK0)) | $less(sK1,X2) | ~$less(sK0,X2)) )), 0.35/0.60 inference(forward_demodulation,[],[f18,f3])). 0.35/0.60 tff(f23,plain,( 0.35/0.60 ( ! [X0:$int,X1:$int] : (~$less(X1,$sum(5,sK0)) | ~$less(sK0,X0) | ~$less(X0,X1) | $less(sK1,X0)) )), 0.35/0.60 inference(resolution,[],[f22,f9])). 0.35/0.60 tff(f24,plain,( 0.35/0.60 ( ! [X2:$int] : ($less($sum(5,sK0),X2) | ~$less(sK0,X2) | $less(sK1,X2) | $sum(5,sK0) = X2) )), 0.35/0.60 inference(resolution,[],[f22,f10])). 0.35/0.60 tff(f26,plain,( 0.35/0.60 ( ! [X4:$int] : ($less($sum(5,sK0),$sum(X4,1)) | ~$less(sK0,X4) | $less(sK1,X4)) )), 0.35/0.60 inference(resolution,[],[f22,f12])). 0.35/0.60 tff(f27,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(sK0,$sum(X5,sK0)) | $less(sK1,$sum(X5,sK0)) | ~$less(X5,5)) )), 0.35/0.60 inference(resolution,[],[f22,f11])). 0.35/0.60 tff(f28,plain,( 0.35/0.60 ( ! [X0:$int,X1:$int] : (~$less(X1,$sum(5,sK0)) | ~$less(sK0,X0) | ~$less(X0,X1) | $less(X0,$sum(3,sK1))) )), 0.35/0.60 inference(resolution,[],[f21,f9])). 0.35/0.60 tff(f29,plain,( 0.35/0.60 ( ! [X2:$int] : ($less($sum(5,sK0),X2) | ~$less(sK0,X2) | $less(X2,$sum(3,sK1)) | $sum(5,sK0) = X2) )), 0.35/0.60 inference(resolution,[],[f21,f10])). 0.35/0.60 tff(f31,plain,( 0.35/0.60 ( ! [X4:$int] : ($less($sum(5,sK0),$sum(X4,1)) | ~$less(sK0,X4) | $less(X4,$sum(3,sK1))) )), 0.35/0.60 inference(resolution,[],[f21,f12])). 0.35/0.60 tff(f32,plain,( 0.35/0.60 ( ! [X5:$int] : ($less($sum(X5,sK0),$sum(3,sK1)) | ~$less(sK0,$sum(X5,sK0)) | ~$less(X5,5)) )), 0.35/0.60 inference(resolution,[],[f21,f11])). 0.35/0.60 tff(f34,plain,( 0.35/0.60 ( ! [X2:$int,X1:$int] : (~$less(X2,$sum(5,sK0)) | $less(sK1,X1) | ~$less(sK0,X1) | $less(X2,$sum(X1,1))) )), 0.35/0.60 inference(resolution,[],[f26,f9])). 0.35/0.60 tff(f36,plain,( 0.35/0.60 ( ! [X6:$int,X5:$int] : (~$less(sK0,X5) | $less(sK1,X5) | $less($sum($sum(5,sK0),X6),$sum($sum(X5,1),X6))) )), 0.35/0.60 inference(resolution,[],[f26,f11])). 0.35/0.60 tff(f38,plain,( 0.35/0.60 ( ! [X0:$int] : ($less($sum(5,sK0),$sum(1,X0)) | ~$less(sK0,X0) | $less(sK1,X0)) )), 0.35/0.60 inference(superposition,[],[f26,f3])). 0.35/0.60 tff(f40,plain,( 0.35/0.60 ( ! [X2:$int,X3:$int] : ($less($sum(5,sK0),$sum(X2,$sum(X3,1))) | ~$less(sK0,$sum(X2,X3)) | $less(sK1,$sum(X2,X3))) )), 0.35/0.60 inference(superposition,[],[f26,f4])). 0.35/0.60 tff(f41,plain,( 0.35/0.60 ( ! [X6:$int,X5:$int] : ($less($sum($sum(5,sK0),X6),$sum(X5,$sum(1,X6))) | ~$less(sK0,X5) | $less(sK1,X5)) )), 0.35/0.60 inference(forward_demodulation,[],[f36,f4])). 0.35/0.60 tff(f42,plain,( 0.35/0.60 ( ! [X6:$int,X5:$int] : ($less($sum(5,$sum(sK0,X6)),$sum(X5,$sum(1,X6))) | ~$less(sK0,X5) | $less(sK1,X5)) )), 0.35/0.60 inference(forward_demodulation,[],[f41,f4])). 0.35/0.60 tff(f44,plain,( 0.35/0.60 ( ! [X0:$int,X1:$int] : (~$less(X1,$sum(X0,sK0)) | ~$less(X0,5) | ~$less(sK0,X1) | $less(sK1,$sum(X0,sK0))) )), 0.35/0.60 inference(resolution,[],[f27,f9])). 0.35/0.60 tff(f45,plain,( 0.35/0.60 ( ! [X2:$int] : ($less(sK1,$sum(X2,sK0)) | ~$less(X2,5) | $less($sum(X2,sK0),sK0) | $sum(X2,sK0) = sK0) )), 0.35/0.60 inference(resolution,[],[f27,f10])). 0.35/0.60 tff(f48,plain,( 0.35/0.60 ( ! [X0:$int] : (~$less(sK0,$sum(sK0,X0)) | $less(sK1,$sum(X0,sK0)) | ~$less(X0,5)) )), 0.35/0.60 inference(superposition,[],[f27,f3])). 0.35/0.60 tff(f53,plain,( 0.35/0.60 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,$sum(5,sK0)) | ~$less(X0,X1) | $less(sK1,X0) | ~$less(X1,X2) | ~$less(sK0,X0)) )), 0.35/0.60 inference(resolution,[],[f23,f9])). 0.35/0.60 tff(f57,plain,( 0.35/0.60 ( ! [X10:$int,X9:$int] : (~$less(X9,$sum(X10,sK0)) | ~$less(sK0,X9) | $less(sK1,X9) | ~$less(X10,5)) )), 0.35/0.60 inference(resolution,[],[f23,f11])). 0.35/0.60 tff(f59,plain,( 0.35/0.60 ( ! [X2:$int,X1:$int] : (~$less(X2,$sum(5,sK0)) | $less(X1,$sum(3,sK1)) | ~$less(sK0,X1) | $less(X2,$sum(X1,1))) )), 0.35/0.60 inference(resolution,[],[f31,f9])). 0.35/0.60 tff(f61,plain,( 0.35/0.60 ( ! [X6:$int,X5:$int] : (~$less(sK0,X5) | $less(X5,$sum(3,sK1)) | $less($sum($sum(5,sK0),X6),$sum($sum(X5,1),X6))) )), 0.35/0.60 inference(resolution,[],[f31,f11])). 0.35/0.60 tff(f63,plain,( 0.35/0.60 ( ! [X0:$int] : ($less($sum(5,sK0),$sum(1,X0)) | ~$less(sK0,X0) | $less(X0,$sum(3,sK1))) )), 0.35/0.60 inference(superposition,[],[f31,f3])). 0.35/0.60 tff(f65,plain,( 0.35/0.60 ( ! [X2:$int,X3:$int] : ($less($sum(5,sK0),$sum(X2,$sum(X3,1))) | ~$less(sK0,$sum(X2,X3)) | $less($sum(X2,X3),$sum(3,sK1))) )), 0.35/0.60 inference(superposition,[],[f31,f4])). 0.35/0.60 tff(f66,plain,( 0.35/0.60 ( ! [X6:$int,X5:$int] : ($less($sum($sum(5,sK0),X6),$sum(X5,$sum(1,X6))) | ~$less(sK0,X5) | $less(X5,$sum(3,sK1))) )), 0.35/0.60 inference(forward_demodulation,[],[f61,f4])). 0.35/0.60 tff(f67,plain,( 0.35/0.60 ( ! [X6:$int,X5:$int] : ($less($sum(5,$sum(sK0,X6)),$sum(X5,$sum(1,X6))) | ~$less(sK0,X5) | $less(X5,$sum(3,sK1))) )), 0.35/0.60 inference(forward_demodulation,[],[f66,f4])). 0.35/0.60 tff(f69,plain,( 0.35/0.60 ~$less(sK0,1) | $less(sK1,1) | ~$less(1,$sum(5,sK0))), 0.35/0.60 inference(resolution,[],[f38,f14])). 0.35/0.60 tff(f76,plain,( 0.35/0.60 $less($sum(5,sK0),1) | ~$less(sK0,0) | $less(sK1,0)), 0.35/0.60 inference(superposition,[],[f38,f5])). 0.35/0.60 tff(f77,plain,( 0.35/0.60 $less($sum(5,sK0),0) | ~$less(sK0,$uminus(1)) | $less(sK1,$uminus(1))), 0.35/0.60 inference(superposition,[],[f38,f7])). 0.35/0.60 tff(f78,plain,( 0.35/0.60 $less(sK0,$uminus(5)) | ~$less(sK0,-1) | $less(sK1,-1)), 0.35/0.60 inference(evaluation,[],[f77])). 0.35/0.60 tff(f79,plain,( 0.35/0.60 $less(sK0,-5) | ~$less(sK0,-1) | $less(sK1,-1)), 0.35/0.60 inference(evaluation,[],[f78])). 0.35/0.60 tff(f80,plain,( 0.35/0.60 $less(sK0,$sum(1,-5)) | ~$less(sK0,0) | $less(sK1,0)), 0.35/0.60 inference(evaluation,[],[f76])). 0.35/0.60 tff(f81,plain,( 0.35/0.60 $less(sK0,-4) | ~$less(sK0,0) | $less(sK1,0)), 0.35/0.60 inference(evaluation,[],[f80])). 0.35/0.60 tff(f82,plain,( 0.35/0.60 ~$less(sK0,1) | $less(sK1,1) | ~$less($sum(1,-5),sK0)), 0.35/0.60 inference(evaluation,[],[f69])). 0.35/0.60 tff(f83,plain,( 0.35/0.60 ~$less(sK0,1) | $less(sK1,1) | ~$less(-4,sK0)), 0.35/0.60 inference(evaluation,[],[f82])). 0.35/0.60 tff(f85,plain,( 0.35/0.60 spl2_1 <=> ~$less(-4,sK0)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])). 0.35/0.60 tff(f86,plain,( 0.35/0.60 ~$less(-4,sK0) | ~spl2_1), 0.35/0.60 inference(avatar_component_clause,[],[f85])). 0.35/0.60 tff(f88,plain,( 0.35/0.60 spl2_2 <=> $less(sK1,1)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])). 0.35/0.60 tff(f89,plain,( 0.35/0.60 $less(sK1,1) | ~spl2_2), 0.35/0.60 inference(avatar_component_clause,[],[f88])). 0.35/0.60 tff(f91,plain,( 0.35/0.60 spl2_5 <=> ~$less(sK0,1)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_5])])). 0.35/0.60 tff(f92,plain,( 0.35/0.60 ~$less(sK0,1) | ~spl2_5), 0.35/0.60 inference(avatar_component_clause,[],[f91])). 0.35/0.60 tff(f93,plain,( 0.35/0.60 ~spl2_1 | spl2_2 | ~spl2_5), 0.35/0.60 inference(avatar_split_clause,[],[f83,f91,f88,f85])). 0.35/0.60 tff(f98,plain,( 0.35/0.60 spl2_6 <=> $less(sK1,0)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_6])])). 0.35/0.60 tff(f99,plain,( 0.35/0.60 $less(sK1,0) | ~spl2_6), 0.35/0.60 inference(avatar_component_clause,[],[f98])). 0.35/0.60 tff(f101,plain,( 0.35/0.60 spl2_9 <=> ~$less(sK0,0)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_9])])). 0.35/0.60 tff(f102,plain,( 0.35/0.60 ~$less(sK0,0) | ~spl2_9), 0.35/0.60 inference(avatar_component_clause,[],[f101])). 0.35/0.60 tff(f104,plain,( 0.35/0.60 spl2_10 <=> $less(sK0,-4)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_10])])). 0.35/0.60 tff(f106,plain,( 0.35/0.60 spl2_6 | ~spl2_9 | spl2_10), 0.35/0.60 inference(avatar_split_clause,[],[f81,f104,f101,f98])). 0.35/0.60 tff(f108,plain,( 0.35/0.60 spl2_12 <=> $less(sK1,-1)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_12])])). 0.35/0.60 tff(f111,plain,( 0.35/0.60 spl2_15 <=> ~$less(sK0,-1)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_15])])). 0.35/0.60 tff(f112,plain,( 0.35/0.60 ~$less(sK0,-1) | ~spl2_15), 0.35/0.60 inference(avatar_component_clause,[],[f111])). 0.35/0.60 tff(f114,plain,( 0.35/0.60 spl2_16 <=> $less(sK0,-5)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_16])])). 0.35/0.60 tff(f116,plain,( 0.35/0.60 spl2_12 | ~spl2_15 | spl2_16), 0.35/0.60 inference(avatar_split_clause,[],[f79,f114,f111,f108])). 0.35/0.60 tff(f119,plain,( 0.35/0.60 ( ! [X4:$int,X5:$int] : (~$less(sK0,$sum(X4,sK0)) | ~$less(X4,5) | $less($sum($sum(X4,sK0),X5),$sum($sum(3,sK1),X5))) )), 0.35/0.60 inference(resolution,[],[f32,f11])). 0.35/0.60 tff(f121,plain,( 0.35/0.60 ( ! [X0:$int] : ($less($sum(sK0,X0),$sum(3,sK1)) | ~$less(sK0,$sum(X0,sK0)) | ~$less(X0,5)) )), 0.35/0.60 inference(superposition,[],[f32,f3])). 0.35/0.60 tff(f124,plain,( 0.35/0.60 ( ! [X4:$int,X5:$int] : ($less($sum($sum(X4,sK0),X5),$sum(3,$sum(sK1,X5))) | ~$less(sK0,$sum(X4,sK0)) | ~$less(X4,5)) )), 0.35/0.60 inference(forward_demodulation,[],[f119,f4])). 0.35/0.60 tff(f125,plain,( 0.35/0.60 ( ! [X4:$int,X5:$int] : ($less($sum(X4,$sum(sK0,X5)),$sum(3,$sum(sK1,X5))) | ~$less(sK0,$sum(X4,sK0)) | ~$less(X4,5)) )), 0.35/0.60 inference(forward_demodulation,[],[f124,f4])). 0.35/0.60 tff(f128,plain,( 0.35/0.60 ( ! [X0:$int,X1:$int] : (~$less(X1,$sum(5,sK0)) | $less(sK1,X0) | $sum(5,sK0) = X0 | ~$less(sK0,X0) | $less(X1,X0)) )), 0.35/0.60 inference(resolution,[],[f24,f9])). 0.35/0.60 tff(f130,plain,( 0.35/0.60 ( ! [X4:$int,X5:$int] : (~$less(sK0,X4) | $less(sK1,X4) | $sum(5,sK0) = X4 | $less($sum($sum(5,sK0),X5),$sum(X4,X5))) )), 0.35/0.60 inference(resolution,[],[f24,f11])). 0.35/0.60 tff(f131,plain,( 0.35/0.60 ( ! [X6:$int] : (~$less(sK0,X6) | $less(sK1,X6) | $sum(5,sK0) = X6 | ~$less(X6,$sum($sum(5,sK0),1))) )), 0.35/0.60 inference(resolution,[],[f24,f14])). 0.35/0.60 tff(f132,plain,( 0.35/0.60 ( ! [X7:$int] : ($sum(5,sK0) = $sum(X7,1) | $less(sK1,$sum(X7,1)) | ~$less(sK0,$sum(X7,1)) | ~$less(X7,$sum(5,sK0))) )), 0.35/0.60 inference(resolution,[],[f24,f14])). 0.35/0.60 tff(f139,plain,( 0.35/0.60 ( ! [X4:$int,X5:$int] : ($less($sum(5,$sum(sK0,X5)),$sum(X4,X5)) | ~$less(sK0,X4) | $less(sK1,X4) | $sum(5,sK0) = X4) )), 0.35/0.60 inference(forward_demodulation,[],[f130,f4])). 0.35/0.60 tff(f140,plain,( 0.35/0.60 ( ! [X6:$int] : (~$less(X6,$sum(1,$sum(5,sK0))) | ~$less(sK0,X6) | $less(sK1,X6) | $sum(5,sK0) = X6) )), 0.35/0.60 inference(forward_demodulation,[],[f131,f3])). 0.35/0.60 tff(f141,plain,( 0.35/0.60 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,$sum(5,sK0)) | ~$less(X0,X1) | $less(X0,$sum(3,sK1)) | ~$less(X1,X2) | ~$less(sK0,X0)) )), 0.35/0.60 inference(resolution,[],[f28,f9])). 0.35/0.60 tff(f145,plain,( 0.35/0.60 ( ! [X10:$int,X9:$int] : (~$less(X9,$sum(X10,sK0)) | ~$less(sK0,X9) | $less(X9,$sum(3,sK1)) | ~$less(X10,5)) )), 0.35/0.60 inference(resolution,[],[f28,f11])). 0.35/0.60 tff(f147,plain,( 0.35/0.60 ( ! [X0:$int,X1:$int] : (~$less(X1,$sum(5,sK0)) | $less(X0,$sum(3,sK1)) | $sum(5,sK0) = X0 | ~$less(sK0,X0) | $less(X1,X0)) )), 0.35/0.60 inference(resolution,[],[f29,f9])). 0.35/0.60 tff(f149,plain,( 0.35/0.60 ( ! [X4:$int,X5:$int] : (~$less(sK0,X4) | $less(X4,$sum(3,sK1)) | $sum(5,sK0) = X4 | $less($sum($sum(5,sK0),X5),$sum(X4,X5))) )), 0.35/0.60 inference(resolution,[],[f29,f11])). 0.35/0.60 tff(f150,plain,( 0.35/0.60 ( ! [X6:$int] : (~$less(sK0,X6) | $less(X6,$sum(3,sK1)) | $sum(5,sK0) = X6 | ~$less(X6,$sum($sum(5,sK0),1))) )), 0.35/0.60 inference(resolution,[],[f29,f14])). 0.35/0.60 tff(f159,plain,( 0.35/0.60 ( ! [X4:$int,X5:$int] : ($less($sum(5,$sum(sK0,X5)),$sum(X4,X5)) | ~$less(sK0,X4) | $less(X4,$sum(3,sK1)) | $sum(5,sK0) = X4) )), 0.35/0.60 inference(forward_demodulation,[],[f149,f4])). 0.35/0.60 tff(f160,plain,( 0.35/0.60 ( ! [X6:$int] : (~$less(X6,$sum(1,$sum(5,sK0))) | ~$less(sK0,X6) | $less(X6,$sum(3,sK1)) | $sum(5,sK0) = X6) )), 0.35/0.60 inference(forward_demodulation,[],[f150,f3])). 0.35/0.60 tff(f164,plain,( 0.35/0.60 $less(sK0,$sum(-4,1)) | ~spl2_1), 0.35/0.60 inference(resolution,[],[f86,f12])). 0.35/0.60 tff(f165,plain,( 0.35/0.60 $less(sK0,-3) | ~spl2_1), 0.35/0.60 inference(evaluation,[],[f164])). 0.35/0.60 tff(f167,plain,( 0.35/0.60 spl2_18 <=> $less(sK0,-3)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_18])])). 0.35/0.60 tff(f169,plain,( 0.35/0.60 spl2_18 | spl2_1), 0.35/0.60 inference(avatar_split_clause,[],[f165,f85,f167])). 0.35/0.60 tff(f170,plain,( 0.35/0.60 $less(sK1,$sum(1,sK0)) | ~$less(1,5) | $less(sK0,sK0)), 0.35/0.60 inference(resolution,[],[f48,f12])). 0.35/0.60 tff(f174,plain,( 0.35/0.60 ( ! [X4:$int] : ($less(sK1,$sum(X4,sK0)) | ~$less(X4,5) | $less($sum(sK0,X4),$sum(sK0,1))) )), 0.35/0.60 inference(resolution,[],[f48,f12])). 0.35/0.60 tff(f178,plain,( 0.35/0.60 ~$less(sK0,0) | $less(sK1,$sum($uminus(sK0),sK0)) | ~$less($uminus(sK0),5)), 0.35/0.60 inference(superposition,[],[f48,f7])). 0.35/0.60 tff(f180,plain,( 0.35/0.60 $less(sK1,$sum(1,sK0)) | $less(sK0,sK0)), 0.35/0.60 inference(evaluation,[],[f170])). 0.35/0.60 tff(f181,plain,( 0.35/0.60 $less(sK1,$sum(1,sK0))), 0.35/0.60 inference(subsumption_resolution,[],[f180,f8])). 0.35/0.60 tff(f183,plain,( 0.35/0.60 spl2_20 <=> $less(sK1,$sum(1,sK0))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_20])])). 0.35/0.60 tff(f184,plain,( 0.35/0.60 $less(sK1,$sum(1,sK0)) | ~spl2_20), 0.35/0.60 inference(avatar_component_clause,[],[f183])). 0.35/0.60 tff(f185,plain,( 0.35/0.60 spl2_20), 0.35/0.60 inference(avatar_split_clause,[],[f181,f183])). 0.35/0.60 tff(f186,plain,( 0.35/0.60 ( ! [X4:$int] : ($less($sum(sK0,X4),$sum(1,sK0)) | $less(sK1,$sum(X4,sK0)) | ~$less(X4,5)) )), 0.35/0.60 inference(forward_demodulation,[],[f174,f3])). 0.35/0.60 tff(f195,plain,( 0.35/0.60 ( ! [X0:$int,X1:$int] : (~$less(X1,$sum(sK0,X0)) | ~$less(sK0,X1) | $less(sK1,X1) | ~$less(X0,5)) )), 0.35/0.60 inference(superposition,[],[f57,f3])). 0.35/0.60 tff(f224,plain,( 0.35/0.60 $less(1,sK0) | 1 = sK0 | ~spl2_5), 0.35/0.60 inference(resolution,[],[f92,f10])). 0.35/0.60 tff(f225,plain,( 0.35/0.60 $less(1,sK0) | 1 = sK0 | ~spl2_5), 0.35/0.60 inference(resolution,[],[f92,f10])). 0.35/0.60 tff(f226,plain,( 0.35/0.60 $less(1,$sum(sK0,1)) | ~spl2_5), 0.35/0.60 inference(resolution,[],[f92,f12])). 0.35/0.60 tff(f227,plain,( 0.35/0.60 $less($sum(1,-1),sK0) | ~spl2_5), 0.35/0.60 inference(evaluation,[],[f226])). 0.35/0.60 tff(f228,plain,( 0.35/0.60 $less(0,sK0) | ~spl2_5), 0.35/0.60 inference(evaluation,[],[f227])). 0.35/0.60 tff(f230,plain,( 0.35/0.60 spl2_22 <=> 1 = sK0), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_22])])). 0.35/0.60 tff(f231,plain,( 0.35/0.60 1 = sK0 | ~spl2_22), 0.35/0.60 inference(avatar_component_clause,[],[f230])). 0.35/0.60 tff(f233,plain,( 0.35/0.60 spl2_24 <=> $less(1,sK0)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_24])])). 0.35/0.60 tff(f235,plain,( 0.35/0.60 spl2_22 | spl2_24 | spl2_5), 0.35/0.60 inference(avatar_split_clause,[],[f224,f91,f233,f230])). 0.35/0.60 tff(f236,plain,( 0.35/0.60 spl2_22 | spl2_24 | spl2_5), 0.35/0.60 inference(avatar_split_clause,[],[f225,f91,f233,f230])). 0.35/0.60 tff(f238,plain,( 0.35/0.60 spl2_26 <=> $less(0,sK0)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_26])])). 0.35/0.60 tff(f239,plain,( 0.35/0.60 $less(0,sK0) | ~spl2_26), 0.35/0.60 inference(avatar_component_clause,[],[f238])). 0.35/0.60 tff(f240,plain,( 0.35/0.60 spl2_26 | spl2_5), 0.35/0.60 inference(avatar_split_clause,[],[f228,f91,f238])). 0.35/0.60 tff(f241,plain,( 0.35/0.60 ~$less(sK0,1) | $less(1,$sum(3,sK1)) | ~$less(1,$sum(5,sK0))), 0.35/0.60 inference(resolution,[],[f63,f14])). 0.35/0.60 tff(f249,plain,( 0.35/0.60 $less($sum(5,sK0),1) | ~$less(sK0,0) | $less(0,$sum(3,sK1))), 0.35/0.60 inference(superposition,[],[f63,f5])). 0.35/0.60 tff(f253,plain,( 0.35/0.60 $less(sK0,$sum(1,-5)) | ~$less(sK0,0) | $less($uminus(3),sK1)), 0.35/0.60 inference(evaluation,[],[f249])). 0.35/0.60 tff(f254,plain,( 0.35/0.60 $less(sK0,-4) | ~$less(sK0,0) | $less(-3,sK1)), 0.35/0.60 inference(evaluation,[],[f253])). 0.35/0.60 tff(f256,plain,( 0.35/0.60 ~$less(sK0,1) | $less($sum(1,-3),sK1) | ~$less($sum(1,-5),sK0)), 0.35/0.60 inference(evaluation,[],[f241])). 0.35/0.60 tff(f257,plain,( 0.35/0.60 ~$less(sK0,1) | $less(-2,sK1) | ~$less(-4,sK0)), 0.35/0.60 inference(evaluation,[],[f256])). 0.35/0.60 tff(f259,plain,( 0.35/0.60 spl2_28 <=> $less(-2,sK1)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_28])])). 0.35/0.60 tff(f260,plain,( 0.35/0.60 $less(-2,sK1) | ~spl2_28), 0.35/0.60 inference(avatar_component_clause,[],[f259])). 0.35/0.60 tff(f261,plain,( 0.35/0.60 ~spl2_1 | spl2_28 | ~spl2_5), 0.35/0.60 inference(avatar_split_clause,[],[f257,f91,f259,f85])). 0.35/0.60 tff(f272,plain,( 0.35/0.60 $less(0,$sum(3,sK1)) | ~$less(sK0,$sum($uminus(sK0),sK0)) | ~$less($uminus(sK0),5)), 0.35/0.60 inference(superposition,[],[f121,f7])). 0.35/0.60 tff(f273,plain,( 0.35/0.60 $less($uminus(3),sK1) | ~$less(sK0,$sum($uminus(sK0),sK0)) | ~$less($uminus(sK0),5)), 0.35/0.60 inference(evaluation,[],[f272])). 0.35/0.60 tff(f274,plain,( 0.35/0.60 $less(-3,sK1) | ~$less(sK0,$sum($uminus(sK0),sK0)) | ~$less($uminus(sK0),5)), 0.35/0.60 inference(evaluation,[],[f273])). 0.35/0.60 tff(f279,plain,( 0.35/0.60 ~$less(sK0,$sum(sK0,$uminus(sK0))) | $less(-3,sK1) | ~$less($uminus(sK0),5)), 0.35/0.60 inference(forward_demodulation,[],[f274,f3])). 0.35/0.60 tff(f280,plain,( 0.35/0.60 ~$less(sK0,0) | $less(-3,sK1) | ~$less($uminus(sK0),5)), 0.35/0.60 inference(forward_demodulation,[],[f279,f7])). 0.35/0.60 tff(f303,plain,( 0.35/0.60 ~$less(1,$sum(sK1,1)) | ~spl2_2), 0.35/0.60 inference(resolution,[],[f89,f14])). 0.35/0.60 tff(f304,plain,( 0.35/0.60 ~$less($sum(1,-1),sK1) | ~spl2_2), 0.35/0.60 inference(evaluation,[],[f303])). 0.35/0.60 tff(f305,plain,( 0.35/0.60 ~$less(0,sK1) | ~spl2_2), 0.35/0.60 inference(evaluation,[],[f304])). 0.35/0.60 tff(f307,plain,( 0.35/0.60 spl2_31 <=> ~$less(0,sK1)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_31])])). 0.35/0.60 tff(f308,plain,( 0.35/0.60 ~$less(0,sK1) | ~spl2_31), 0.35/0.60 inference(avatar_component_clause,[],[f307])). 0.35/0.60 tff(f309,plain,( 0.35/0.60 ~spl2_31 | ~spl2_2), 0.35/0.60 inference(avatar_split_clause,[],[f305,f88,f307])). 0.35/0.60 tff(f366,plain,( 0.35/0.60 ( ! [X5:$int] : ($less($sum(5,$sum(sK0,$uminus(1))),$sum(X5,0)) | ~$less(sK0,X5) | $less(sK1,X5)) )), 0.35/0.60 inference(superposition,[],[f42,f7])). 0.35/0.60 tff(f370,plain,( 0.35/0.60 ( ! [X5:$int] : ($less($sum(5,$sum(sK0,-1)),X5) | ~$less(sK0,X5) | $less(sK1,X5)) )), 0.35/0.60 inference(evaluation,[],[f366])). 0.35/0.60 tff(f379,plain,( 0.35/0.60 ( ! [X5:$int] : ($less($sum(5,$sum(-1,sK0)),X5) | ~$less(sK0,X5) | $less(sK1,X5)) )), 0.35/0.60 inference(forward_demodulation,[],[f370,f3])). 0.35/0.60 tff(f383,plain,( 0.35/0.60 $less(0,sK0) | 0 = sK0 | ~spl2_9), 0.35/0.60 inference(resolution,[],[f102,f10])). 0.35/0.60 tff(f384,plain,( 0.35/0.60 $less(0,sK0) | 0 = sK0 | ~spl2_9), 0.35/0.60 inference(resolution,[],[f102,f10])). 0.35/0.60 tff(f385,plain,( 0.35/0.60 $less(0,$sum(sK0,1)) | ~spl2_9), 0.35/0.60 inference(resolution,[],[f102,f12])). 0.35/0.60 tff(f386,plain,( 0.35/0.60 $less($uminus(1),sK0) | ~spl2_9), 0.35/0.60 inference(evaluation,[],[f385])). 0.35/0.60 tff(f387,plain,( 0.35/0.60 $less(-1,sK0) | ~spl2_9), 0.35/0.60 inference(evaluation,[],[f386])). 0.35/0.60 tff(f389,plain,( 0.35/0.60 spl2_32 <=> 0 = sK0), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_32])])). 0.35/0.60 tff(f390,plain,( 0.35/0.60 0 = sK0 | ~spl2_32), 0.35/0.60 inference(avatar_component_clause,[],[f389])). 0.35/0.60 tff(f391,plain,( 0.35/0.60 spl2_32 | spl2_26 | spl2_9), 0.35/0.60 inference(avatar_split_clause,[],[f383,f101,f238,f389])). 0.35/0.60 tff(f392,plain,( 0.35/0.60 spl2_32 | spl2_26 | spl2_9), 0.35/0.60 inference(avatar_split_clause,[],[f384,f101,f238,f389])). 0.35/0.60 tff(f394,plain,( 0.35/0.60 spl2_34 <=> $less(-1,sK0)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_34])])). 0.35/0.60 tff(f396,plain,( 0.35/0.60 spl2_34 | spl2_9), 0.35/0.60 inference(avatar_split_clause,[],[f387,f101,f394])). 0.35/0.60 tff(f398,plain,( 0.35/0.60 spl2_37 <=> ~$less($uminus(sK0),5)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_37])])). 0.35/0.60 tff(f401,plain,( 0.35/0.60 spl2_38 <=> $less(-3,sK1)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_38])])). 0.35/0.60 tff(f403,plain,( 0.35/0.60 ~spl2_37 | spl2_38 | ~spl2_9), 0.35/0.60 inference(avatar_split_clause,[],[f280,f101,f401,f398])). 0.35/0.60 tff(f404,plain,( 0.35/0.60 spl2_38 | ~spl2_9 | spl2_10), 0.35/0.60 inference(avatar_split_clause,[],[f254,f104,f101,f401])). 0.35/0.60 tff(f405,plain,( 0.35/0.60 $less(sK1,$sum(sK0,$uminus(sK0))) | ~$less(sK0,0) | ~$less($uminus(sK0),5)), 0.35/0.60 inference(forward_demodulation,[],[f178,f3])). 0.35/0.60 tff(f406,plain,( 0.35/0.60 $less(sK1,0) | ~$less(sK0,0) | ~$less($uminus(sK0),5)), 0.35/0.60 inference(forward_demodulation,[],[f405,f7])). 0.35/0.60 tff(f407,plain,( 0.35/0.60 ~spl2_37 | ~spl2_9 | spl2_6), 0.35/0.60 inference(avatar_split_clause,[],[f406,f98,f101,f398])). 0.35/0.60 tff(f498,plain,( 0.35/0.60 ( ! [X0:$int] : (~$less(X0,5) | $less($sum(X0,sK0),sK0) | $sum(X0,sK0) = sK0 | ~$less(sK0,sK1) | $less(sK1,$sum(3,sK1)) | ~$less(X0,5)) )), 0.35/0.60 inference(resolution,[],[f45,f145])). 0.35/0.60 tff(f500,plain,( 0.35/0.60 ( ! [X2:$int] : (~$less(X2,5) | $less($sum(X2,sK0),sK0) | $sum(X2,sK0) = sK0 | ~$less(sK0,sK1) | $less(sK1,sK1) | ~$less(X2,5)) )), 0.35/0.60 inference(resolution,[],[f45,f57])). 0.35/0.60 tff(f514,plain,( 0.35/0.60 ( ! [X2:$int] : (~$less(X2,5) | $less($sum(X2,sK0),sK0) | $sum(X2,sK0) = sK0 | ~$less(sK0,sK1) | $less(sK1,sK1)) )), 0.35/0.60 inference(duplicate_literal_removal,[],[f500])). 0.35/0.60 tff(f516,plain,( 0.35/0.60 ( ! [X0:$int] : (~$less(X0,5) | $less($sum(X0,sK0),sK0) | $sum(X0,sK0) = sK0 | ~$less(sK0,sK1) | $less(sK1,$sum(3,sK1))) )), 0.35/0.60 inference(duplicate_literal_removal,[],[f498])). 0.35/0.60 tff(f517,plain,( 0.35/0.60 ( ! [X0:$int] : ($less($sum(X0,1),1) | ~$less(X0,5) | $sum(X0,sK0) = sK0 | ~$less(sK0,sK1) | $less(sK1,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f516,f231])). 0.35/0.60 tff(f518,plain,( 0.35/0.60 ( ! [X0:$int] : ($less(X0,$sum(1,-1)) | ~$less(X0,5) | $sum(X0,sK0) = sK0 | ~$less(sK0,sK1) | $less(sK1,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f517])). 0.35/0.60 tff(f519,plain,( 0.35/0.60 ( ! [X0:$int] : ($less(X0,0) | ~$less(X0,5) | $sum(X0,sK0) = sK0 | ~$less(sK0,sK1) | $less(sK1,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f518])). 0.35/0.60 tff(f520,plain,( 0.35/0.60 ( ! [X0:$int] : ($sum(X0,1) = 1 | $less(X0,0) | ~$less(X0,5) | ~$less(sK0,sK1) | $less(sK1,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f519,f231])). 0.35/0.60 tff(f521,plain,( 0.35/0.60 ( ! [X0:$int] : ($sum(1,-1) = X0 | $less(X0,0) | ~$less(X0,5) | ~$less(sK0,sK1) | $less(sK1,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f520])). 0.35/0.60 tff(f522,plain,( 0.35/0.60 ( ! [X0:$int] : (0 = X0 | $less(X0,0) | ~$less(X0,5) | ~$less(sK0,sK1) | $less(sK1,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f521])). 0.35/0.60 tff(f523,plain,( 0.35/0.60 ( ! [X0:$int] : (~$less(1,sK1) | 0 = X0 | $less(X0,0) | ~$less(X0,5) | $less(sK1,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f522,f231])). 0.35/0.60 tff(f525,plain,( 0.35/0.60 spl2_40 <=> $less(sK1,$sum(3,sK1))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_40])])). 0.35/0.60 tff(f528,plain,( 0.35/0.60 spl2_42 <=> ! [X0 : $int] : (0 = X0 | ~$less(X0,5) | $less(X0,0))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_42])])). 0.35/0.60 tff(f531,plain,( 0.35/0.60 spl2_45 <=> ~$less(1,sK1)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_45])])). 0.35/0.60 tff(f532,plain,( 0.35/0.60 ~$less(1,sK1) | ~spl2_45), 0.35/0.60 inference(avatar_component_clause,[],[f531])). 0.35/0.60 tff(f533,plain,( 0.35/0.60 spl2_40 | spl2_42 | ~spl2_45 | ~spl2_22), 0.35/0.60 inference(avatar_split_clause,[],[f523,f230,f531,f528,f525])). 0.35/0.60 tff(f534,plain,( 0.35/0.60 ( ! [X2:$int] : (~$less(X2,5) | $less($sum(X2,sK0),sK0) | $sum(X2,sK0) = sK0 | ~$less(sK0,sK1)) )), 0.35/0.60 inference(subsumption_resolution,[],[f514,f8])). 0.35/0.60 tff(f535,plain,( 0.35/0.60 ( ! [X2:$int] : ($less($sum(X2,1),1) | ~$less(X2,5) | $sum(X2,sK0) = sK0 | ~$less(sK0,sK1)) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f534,f231])). 0.35/0.60 tff(f536,plain,( 0.35/0.60 ( ! [X2:$int] : ($less(X2,$sum(1,-1)) | ~$less(X2,5) | $sum(X2,sK0) = sK0 | ~$less(sK0,sK1)) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f535])). 0.35/0.60 tff(f537,plain,( 0.35/0.60 ( ! [X2:$int] : ($less(X2,0) | ~$less(X2,5) | $sum(X2,sK0) = sK0 | ~$less(sK0,sK1)) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f536])). 0.35/0.60 tff(f538,plain,( 0.35/0.60 ( ! [X2:$int] : ($sum(X2,1) = 1 | $less(X2,0) | ~$less(X2,5) | ~$less(sK0,sK1)) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f537,f231])). 0.35/0.60 tff(f539,plain,( 0.35/0.60 ( ! [X2:$int] : ($sum(1,-1) = X2 | $less(X2,0) | ~$less(X2,5) | ~$less(sK0,sK1)) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f538])). 0.35/0.60 tff(f540,plain,( 0.35/0.60 ( ! [X2:$int] : (0 = X2 | $less(X2,0) | ~$less(X2,5) | ~$less(sK0,sK1)) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f539])). 0.35/0.60 tff(f541,plain,( 0.35/0.60 ( ! [X2:$int] : (~$less(1,sK1) | 0 = X2 | $less(X2,0) | ~$less(X2,5)) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f540,f231])). 0.35/0.60 tff(f542,plain,( 0.35/0.60 spl2_42 | ~spl2_45 | ~spl2_22), 0.35/0.60 inference(avatar_split_clause,[],[f541,f230,f531,f528])). 0.35/0.60 tff(f595,plain,( 0.35/0.60 ~$less(0,$sum(sK1,1)) | ~spl2_6), 0.35/0.60 inference(resolution,[],[f99,f14])). 0.35/0.60 tff(f596,plain,( 0.35/0.60 ~$less($uminus(1),sK1) | ~spl2_6), 0.35/0.60 inference(evaluation,[],[f595])). 0.35/0.60 tff(f597,plain,( 0.35/0.60 ~$less(-1,sK1) | ~spl2_6), 0.35/0.60 inference(evaluation,[],[f596])). 0.35/0.60 tff(f600,plain,( 0.35/0.60 spl2_47 <=> ~$less(-1,sK1)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_47])])). 0.35/0.60 tff(f602,plain,( 0.35/0.60 ~spl2_47 | ~spl2_6), 0.35/0.60 inference(avatar_split_clause,[],[f597,f98,f600])). 0.35/0.60 tff(f742,plain,( 0.35/0.60 $less(-1,$sum(sK0,1)) | ~spl2_15), 0.35/0.60 inference(resolution,[],[f112,f12])). 0.35/0.60 tff(f743,plain,( 0.35/0.60 $less($sum(-1,-1),sK0) | ~spl2_15), 0.35/0.60 inference(evaluation,[],[f742])). 0.35/0.60 tff(f744,plain,( 0.35/0.60 $less(-2,sK0) | ~spl2_15), 0.35/0.60 inference(evaluation,[],[f743])). 0.35/0.60 tff(f879,plain,( 0.35/0.60 $less(sK1,$sum(1,1)) | ~spl2_45), 0.35/0.60 inference(resolution,[],[f532,f12])). 0.35/0.60 tff(f880,plain,( 0.35/0.60 $less(sK1,2) | ~spl2_45), 0.35/0.60 inference(evaluation,[],[f879])). 0.35/0.60 tff(f882,plain,( 0.35/0.60 spl2_48 <=> $less(sK1,2)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_48])])). 0.35/0.60 tff(f884,plain,( 0.35/0.60 spl2_48 | spl2_45), 0.35/0.60 inference(avatar_split_clause,[],[f880,f531,f882])). 0.35/0.60 tff(f918,plain,( 0.35/0.60 ( ! [X5:$int] : ($less($sum(5,$sum(sK0,$uminus(1))),$sum(X5,0)) | ~$less(sK0,X5) | $less(X5,$sum(3,sK1))) )), 0.35/0.60 inference(superposition,[],[f67,f7])). 0.35/0.60 tff(f922,plain,( 0.35/0.60 ( ! [X5:$int] : ($less($sum(5,$sum(sK0,-1)),X5) | ~$less(sK0,X5) | $less(X5,$sum(3,sK1))) )), 0.35/0.60 inference(evaluation,[],[f918])). 0.35/0.60 tff(f952,plain,( 0.35/0.60 ( ! [X5:$int] : ($less($sum(5,$sum(-1,sK0)),X5) | ~$less(sK0,X5) | $less(X5,$sum(3,sK1))) )), 0.35/0.60 inference(forward_demodulation,[],[f922,f3])). 0.35/0.60 tff(f1275,plain,( 0.35/0.60 ( ! [X1:$int] : (~$less(sK0,X1) | $less(sK1,X1) | $sum(5,sK0) = X1 | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1)) | ~$less(X1,5)) )), 0.35/0.60 inference(resolution,[],[f139,f145])). 0.35/0.60 tff(f1276,plain,( 0.35/0.60 ( ! [X2:$int] : (~$less(sK0,X2) | $less(sK1,X2) | $sum(5,sK0) = X2 | ~$less(X2,5) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | $less(sK1,$sum(X2,sK0))) )), 0.35/0.60 inference(resolution,[],[f139,f44])). 0.35/0.60 tff(f1277,plain,( 0.35/0.60 ( ! [X3:$int] : (~$less(sK0,X3) | $less(sK1,X3) | $sum(5,sK0) = X3 | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | $less(sK1,$sum(5,$sum(sK0,sK0))) | ~$less(X3,5)) )), 0.35/0.60 inference(resolution,[],[f139,f57])). 0.35/0.60 tff(f1278,plain,( 0.35/0.60 ~$less(sK0,5) | $less(sK1,5) | 5 = $sum(5,sK0) | $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(sK0,sK0)))), 0.35/0.60 inference(resolution,[],[f139,f21])). 0.35/0.60 tff(f1279,plain,( 0.35/0.60 ~$less(sK0,5) | $less(sK1,5) | 5 = $sum(5,sK0) | $less(sK1,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,$sum(5,$sum(sK0,sK0)))), 0.35/0.60 inference(resolution,[],[f139,f22])). 0.35/0.60 tff(f1281,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(sK0,5) | $less(sK1,5) | 5 = $sum(5,sK0) | ~$less(sK0,X5) | ~$less(X5,$sum(5,$sum(sK0,sK0))) | $less(X5,$sum(3,sK1))) )), 0.35/0.60 inference(resolution,[],[f139,f28])). 0.35/0.60 tff(f1284,plain,( 0.35/0.60 ( ! [X9:$int] : (~$less(sK0,5) | $less(sK1,5) | 5 = $sum(5,sK0) | $less(X9,$sum(3,sK1)) | ~$less(sK0,X9) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1))) )), 0.35/0.60 inference(resolution,[],[f139,f59])). 0.35/0.60 tff(f1286,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (~$less(sK0,5) | $less(sK1,5) | 5 = $sum(5,sK0) | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(X12,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X11)) )), 0.35/0.60 inference(resolution,[],[f139,f141])). 0.35/0.60 tff(f1308,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (~$less(sK0,5) | $less(sK1,5) | $sum(5,-5) = sK0 | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(X12,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X11)) )), 0.35/0.60 inference(evaluation,[],[f1286])). 0.35/0.60 tff(f1309,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (~$less(sK0,5) | $less(sK1,5) | 0 = sK0 | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(X12,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X11)) )), 0.35/0.60 inference(evaluation,[],[f1308])). 0.35/0.60 tff(f1312,plain,( 0.35/0.60 ( ! [X9:$int] : (~$less(sK0,5) | $less(sK1,5) | $sum(5,-5) = sK0 | $less(X9,$sum(3,sK1)) | ~$less(sK0,X9) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1))) )), 0.35/0.60 inference(evaluation,[],[f1284])). 0.35/0.60 tff(f1313,plain,( 0.35/0.60 ( ! [X9:$int] : (~$less(sK0,5) | $less(sK1,5) | 0 = sK0 | $less(X9,$sum(3,sK1)) | ~$less(sK0,X9) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1))) )), 0.35/0.60 inference(evaluation,[],[f1312])). 0.35/0.60 tff(f1318,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(sK0,5) | $less(sK1,5) | $sum(5,-5) = sK0 | ~$less(sK0,X5) | ~$less(X5,$sum(5,$sum(sK0,sK0))) | $less(X5,$sum(3,sK1))) )), 0.35/0.60 inference(evaluation,[],[f1281])). 0.35/0.60 tff(f1319,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(sK0,5) | $less(sK1,5) | 0 = sK0 | ~$less(sK0,X5) | ~$less(X5,$sum(5,$sum(sK0,sK0))) | $less(X5,$sum(3,sK1))) )), 0.35/0.60 inference(evaluation,[],[f1318])). 0.35/0.60 tff(f1322,plain,( 0.35/0.60 ~$less(sK0,5) | $less(sK1,5) | $sum(5,-5) = sK0 | $less(sK1,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,$sum(5,$sum(sK0,sK0)))), 0.35/0.60 inference(evaluation,[],[f1279])). 0.35/0.60 tff(f1323,plain,( 0.35/0.60 ~$less(sK0,5) | $less(sK1,5) | 0 = sK0 | $less(sK1,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,$sum(5,$sum(sK0,sK0)))), 0.35/0.60 inference(evaluation,[],[f1322])). 0.35/0.60 tff(f1324,plain,( 0.35/0.60 ~$less(sK0,5) | $less(sK1,5) | $sum(5,-5) = sK0 | $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(sK0,sK0)))), 0.35/0.60 inference(evaluation,[],[f1278])). 0.35/0.60 tff(f1325,plain,( 0.35/0.60 ~$less(sK0,5) | $less(sK1,5) | 0 = sK0 | $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(sK0,sK0)))), 0.35/0.60 inference(evaluation,[],[f1324])). 0.35/0.60 tff(f1330,plain,( 0.35/0.60 ~$less(1,5) | $less(sK1,5) | 0 = sK0 | $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1325,f231])). 0.35/0.60 tff(f1331,plain,( 0.35/0.60 $less(sK1,5) | 0 = sK0 | $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1330])). 0.35/0.60 tff(f1332,plain,( 0.35/0.60 0 = 1 | $less(sK1,5) | $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1331,f231])). 0.35/0.60 tff(f1333,plain,( 0.35/0.60 $less(sK1,5) | $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1332])). 0.35/0.60 tff(f1334,plain,( 0.35/0.60 $less($sum(5,$sum(1,1)),$sum(3,sK1)) | $less(sK1,5) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1333,f231])). 0.35/0.60 tff(f1335,plain,( 0.35/0.60 $less($sum(5,2),$sum(3,sK1)) | $less(sK1,5) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1334])). 0.35/0.60 tff(f1336,plain,( 0.35/0.60 $less($sum(7,-3),sK1) | $less(sK1,5) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1335])). 0.35/0.60 tff(f1337,plain,( 0.35/0.60 $less(4,sK1) | $less(sK1,5) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1336])). 0.35/0.60 tff(f1338,plain,( 0.35/0.60 ~$less(1,$sum(5,$sum(1,1))) | $less(4,sK1) | $less(sK1,5) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1337,f231])). 0.35/0.60 tff(f1339,plain,( 0.35/0.60 ~$less(1,$sum(5,2)) | $less(4,sK1) | $less(sK1,5) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1338])). 0.35/0.60 tff(f1340,plain,( 0.35/0.60 $less(4,sK1) | $less(sK1,5) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1339])). 0.35/0.60 tff(f1342,plain,( 0.35/0.60 spl2_50 <=> $less(sK1,5)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_50])])). 0.35/0.60 tff(f1343,plain,( 0.35/0.60 $less(sK1,5) | ~spl2_50), 0.35/0.60 inference(avatar_component_clause,[],[f1342])). 0.35/0.60 tff(f1345,plain,( 0.35/0.60 spl2_52 <=> $less(4,sK1)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_52])])). 0.35/0.60 tff(f1347,plain,( 0.35/0.60 spl2_50 | spl2_52 | ~spl2_22), 0.35/0.60 inference(avatar_split_clause,[],[f1340,f230,f1345,f1342])). 0.35/0.60 tff(f1348,plain,( 0.35/0.60 ~$less(1,5) | $less(sK1,5) | 0 = sK0 | $less(sK1,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1323,f231])). 0.35/0.60 tff(f1349,plain,( 0.35/0.60 $less(sK1,5) | 0 = sK0 | $less(sK1,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1348])). 0.35/0.60 tff(f1350,plain,( 0.35/0.60 0 = 1 | $less(sK1,5) | $less(sK1,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1349,f231])). 0.35/0.60 tff(f1351,plain,( 0.35/0.60 $less(sK1,5) | $less(sK1,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1350])). 0.35/0.60 tff(f1352,plain,( 0.35/0.60 $less(sK1,$sum(5,$sum(1,1))) | $less(sK1,5) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1351,f231])). 0.35/0.60 tff(f1353,plain,( 0.35/0.60 $less(sK1,$sum(5,2)) | $less(sK1,5) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1352])). 0.35/0.60 tff(f1354,plain,( 0.35/0.60 $less(sK1,7) | $less(sK1,5) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1353])). 0.35/0.60 tff(f1355,plain,( 0.35/0.60 ~$less(1,$sum(5,$sum(1,1))) | $less(sK1,7) | $less(sK1,5) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1354,f231])). 0.35/0.60 tff(f1356,plain,( 0.35/0.60 ~$less(1,$sum(5,2)) | $less(sK1,7) | $less(sK1,5) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1355])). 0.35/0.60 tff(f1357,plain,( 0.35/0.60 $less(sK1,7) | $less(sK1,5) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1356])). 0.35/0.60 tff(f1359,plain,( 0.35/0.60 spl2_54 <=> $less(sK1,7)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_54])])). 0.35/0.60 tff(f1361,plain,( 0.35/0.60 spl2_50 | spl2_54 | ~spl2_22), 0.35/0.60 inference(avatar_split_clause,[],[f1357,f230,f1359,f1342])). 0.35/0.60 tff(f1367,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(1,5) | $less(sK1,5) | 0 = sK0 | ~$less(sK0,X5) | ~$less(X5,$sum(5,$sum(sK0,sK0))) | $less(X5,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1319,f231])). 0.35/0.60 tff(f1368,plain,( 0.35/0.60 ( ! [X5:$int] : ($less(sK1,5) | 0 = sK0 | ~$less(sK0,X5) | ~$less(X5,$sum(5,$sum(sK0,sK0))) | $less(X5,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1367])). 0.35/0.60 tff(f1369,plain,( 0.35/0.60 ( ! [X5:$int] : (0 = 1 | $less(sK1,5) | ~$less(sK0,X5) | ~$less(X5,$sum(5,$sum(sK0,sK0))) | $less(X5,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1368,f231])). 0.35/0.60 tff(f1370,plain,( 0.35/0.60 ( ! [X5:$int] : ($less(sK1,5) | ~$less(sK0,X5) | ~$less(X5,$sum(5,$sum(sK0,sK0))) | $less(X5,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1369])). 0.35/0.60 tff(f1371,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(1,X5) | $less(sK1,5) | ~$less(X5,$sum(5,$sum(sK0,sK0))) | $less(X5,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1370,f231])). 0.35/0.60 tff(f1372,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(X5,$sum(5,$sum(1,1))) | ~$less(1,X5) | $less(sK1,5) | $less(X5,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1371,f231])). 0.35/0.60 tff(f1373,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(X5,$sum(5,2)) | ~$less(1,X5) | $less(sK1,5) | $less(X5,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1372])). 0.35/0.60 tff(f1374,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(X5,7) | ~$less(1,X5) | $less(sK1,5) | $less(X5,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1373])). 0.35/0.60 tff(f1376,plain,( 0.35/0.60 spl2_56 <=> ! [X5 : $int] : (~$less(X5,7) | $less(X5,$sum(3,sK1)) | ~$less(1,X5))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_56])])). 0.35/0.60 tff(f1378,plain,( 0.35/0.60 spl2_50 | spl2_56 | ~spl2_22), 0.35/0.60 inference(avatar_split_clause,[],[f1374,f230,f1376,f1342])). 0.35/0.60 tff(f1392,plain,( 0.35/0.60 ( ! [X9:$int] : (~$less(1,5) | $less(sK1,5) | 0 = sK0 | $less(X9,$sum(3,sK1)) | ~$less(sK0,X9) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1313,f231])). 0.35/0.60 tff(f1393,plain,( 0.35/0.60 ( ! [X9:$int] : ($less(sK1,5) | 0 = sK0 | $less(X9,$sum(3,sK1)) | ~$less(sK0,X9) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1392])). 0.35/0.60 tff(f1394,plain,( 0.35/0.60 ( ! [X9:$int] : (0 = 1 | $less(sK1,5) | $less(X9,$sum(3,sK1)) | ~$less(sK0,X9) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1393,f231])). 0.35/0.60 tff(f1395,plain,( 0.35/0.60 ( ! [X9:$int] : ($less(sK1,5) | $less(X9,$sum(3,sK1)) | ~$less(sK0,X9) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1394])). 0.35/0.60 tff(f1396,plain,( 0.35/0.60 ( ! [X9:$int] : (~$less(1,X9) | $less(sK1,5) | $less(X9,$sum(3,sK1)) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1395,f231])). 0.35/0.60 tff(f1397,plain,( 0.35/0.60 ( ! [X9:$int] : ($less($sum(5,$sum(1,1)),$sum(X9,1)) | ~$less(1,X9) | $less(sK1,5) | $less(X9,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1396,f231])). 0.35/0.60 tff(f1398,plain,( 0.35/0.60 ( ! [X9:$int] : ($less($sum(5,2),$sum(X9,1)) | ~$less(1,X9) | $less(sK1,5) | $less(X9,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1397])). 0.35/0.60 tff(f1399,plain,( 0.35/0.60 ( ! [X9:$int] : ($less($sum(7,-1),X9) | ~$less(1,X9) | $less(sK1,5) | $less(X9,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1398])). 0.35/0.60 tff(f1400,plain,( 0.35/0.60 ( ! [X9:$int] : ($less(6,X9) | ~$less(1,X9) | $less(sK1,5) | $less(X9,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1399])). 0.35/0.60 tff(f1402,plain,( 0.35/0.60 spl2_58 <=> ! [X9 : $int] : ($less(6,X9) | $less(X9,$sum(3,sK1)) | ~$less(1,X9))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_58])])). 0.35/0.60 tff(f1404,plain,( 0.35/0.60 spl2_50 | spl2_58 | ~spl2_22), 0.35/0.60 inference(avatar_split_clause,[],[f1400,f230,f1402,f1342])). 0.35/0.60 tff(f1412,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (~$less(1,5) | $less(sK1,5) | 0 = sK0 | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(X12,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X11)) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1309,f231])). 0.35/0.60 tff(f1413,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : ($less(sK1,5) | 0 = sK0 | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(X12,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X11)) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1412])). 0.35/0.60 tff(f1414,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (0 = 1 | $less(sK1,5) | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(X12,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X11)) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1413,f231])). 0.35/0.60 tff(f1415,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : ($less(sK1,5) | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(X12,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X11)) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1414])). 0.35/0.60 tff(f1416,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (~$less(X12,$sum(5,$sum(1,1))) | $less(sK1,5) | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(sK0,X11)) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1415,f231])). 0.35/0.60 tff(f1417,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (~$less(X12,$sum(5,2)) | $less(sK1,5) | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(sK0,X11)) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1416])). 0.35/0.60 tff(f1418,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (~$less(X12,7) | $less(sK1,5) | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(sK0,X11)) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f1417])). 0.35/0.60 tff(f1419,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (~$less(1,X11) | ~$less(X12,7) | $less(sK1,5) | ~$less(X11,X12) | $less(X11,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f1418,f231])). 0.35/0.60 tff(f1421,plain,( 0.35/0.60 spl2_60 <=> ! [X11 : $int,X12 : $int] : (~$less(1,X11) | $less(X11,$sum(3,sK1)) | ~$less(X11,X12) | ~$less(X12,7))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_60])])). 0.35/0.60 tff(f1423,plain,( 0.35/0.60 spl2_50 | spl2_60 | ~spl2_22), 0.35/0.60 inference(avatar_split_clause,[],[f1419,f230,f1421,f1342])). 0.35/0.60 tff(f1514,plain,( 0.35/0.60 ~$less(5,$sum(sK1,1)) | ~spl2_50), 0.35/0.60 inference(resolution,[],[f1343,f14])). 0.35/0.60 tff(f1515,plain,( 0.35/0.60 ~$less($sum(5,-1),sK1) | ~spl2_50), 0.35/0.60 inference(evaluation,[],[f1514])). 0.35/0.60 tff(f1516,plain,( 0.35/0.60 ~$less(4,sK1) | ~spl2_50), 0.35/0.60 inference(evaluation,[],[f1515])). 0.35/0.60 tff(f1518,plain,( 0.35/0.60 spl2_53 <=> ~$less(4,sK1)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_53])])). 0.35/0.60 tff(f1519,plain,( 0.35/0.60 ~$less(4,sK1) | ~spl2_53), 0.35/0.60 inference(avatar_component_clause,[],[f1518])). 0.35/0.60 tff(f1520,plain,( 0.35/0.60 ~spl2_53 | ~spl2_50), 0.35/0.60 inference(avatar_split_clause,[],[f1516,f1342,f1518])). 0.35/0.60 tff(f1717,plain,( 0.35/0.60 ~$less(sK0,$sum(0,1)) | ~spl2_26), 0.35/0.60 inference(resolution,[],[f239,f14])). 0.35/0.60 tff(f1719,plain,( 0.35/0.60 ~$less(sK0,1) | ~spl2_26), 0.35/0.60 inference(evaluation,[],[f1717])). 0.35/0.60 tff(f1859,plain,( 0.35/0.60 ( ! [X37:$int] : ($less($sum(X37,$sum(sK0,1)),$sum(3,$sum(5,sK0))) | ~$less(sK0,$sum(X37,sK0)) | ~$less(X37,5) | $less(sK1,$sum(sK1,1)) | ~$less(sK0,$sum(sK1,1)) | ~$less(sK1,$sum(5,sK0))) )), 0.35/0.60 inference(superposition,[],[f125,f132])). 0.35/0.60 tff(f2177,plain,( 0.35/0.60 ( ! [X1:$int] : (~$less(sK0,X1) | $less(X1,$sum(3,sK1)) | $sum(5,sK0) = X1 | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1)) | ~$less(X1,5)) )), 0.35/0.60 inference(resolution,[],[f159,f145])). 0.35/0.60 tff(f2178,plain,( 0.35/0.60 ( ! [X2:$int] : (~$less(sK0,X2) | $less(X2,$sum(3,sK1)) | $sum(5,sK0) = X2 | ~$less(X2,5) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | $less(sK1,$sum(X2,sK0))) )), 0.35/0.60 inference(resolution,[],[f159,f44])). 0.35/0.60 tff(f2179,plain,( 0.35/0.60 ( ! [X3:$int] : (~$less(sK0,X3) | $less(X3,$sum(3,sK1)) | $sum(5,sK0) = X3 | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | $less(sK1,$sum(5,$sum(sK0,sK0))) | ~$less(X3,5)) )), 0.35/0.60 inference(resolution,[],[f159,f57])). 0.35/0.60 tff(f2180,plain,( 0.35/0.60 ~$less(sK0,5) | $less(5,$sum(3,sK1)) | 5 = $sum(5,sK0) | $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(sK0,sK0)))), 0.35/0.60 inference(resolution,[],[f159,f21])). 0.35/0.60 tff(f2181,plain,( 0.35/0.60 ~$less(sK0,5) | $less(5,$sum(3,sK1)) | 5 = $sum(5,sK0) | $less(sK1,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,$sum(5,$sum(sK0,sK0)))), 0.35/0.60 inference(resolution,[],[f159,f22])). 0.35/0.60 tff(f2182,plain,( 0.35/0.60 ( ! [X4:$int] : (~$less(sK0,5) | $less(5,$sum(3,sK1)) | 5 = $sum(5,sK0) | ~$less(sK0,X4) | ~$less(X4,$sum(5,$sum(sK0,sK0))) | $less(sK1,X4)) )), 0.35/0.60 inference(resolution,[],[f159,f23])). 0.35/0.60 tff(f2183,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(sK0,5) | $less(5,$sum(3,sK1)) | 5 = $sum(5,sK0) | ~$less(sK0,X5) | ~$less(X5,$sum(5,$sum(sK0,sK0))) | $less(X5,$sum(3,sK1))) )), 0.35/0.60 inference(resolution,[],[f159,f28])). 0.35/0.60 tff(f2184,plain,( 0.35/0.60 ( ! [X6:$int] : (~$less(sK0,5) | $less(5,$sum(3,sK1)) | 5 = $sum(5,sK0) | $less(sK1,X6) | ~$less(sK0,X6) | $less($sum(5,$sum(sK0,sK0)),$sum(X6,1))) )), 0.35/0.60 inference(resolution,[],[f159,f34])). 0.35/0.60 tff(f2185,plain,( 0.35/0.60 ( ! [X8:$int,X7:$int] : (~$less(sK0,5) | $less(5,$sum(3,sK1)) | 5 = $sum(5,sK0) | ~$less(X7,X8) | $less(sK1,X7) | ~$less(X8,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X7)) )), 0.35/0.60 inference(resolution,[],[f159,f53])). 0.35/0.60 tff(f2186,plain,( 0.35/0.60 ( ! [X9:$int] : (~$less(sK0,5) | $less(5,$sum(3,sK1)) | 5 = $sum(5,sK0) | $less(X9,$sum(3,sK1)) | ~$less(sK0,X9) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1))) )), 0.35/0.60 inference(resolution,[],[f159,f59])). 0.35/0.60 tff(f2187,plain,( 0.35/0.60 ( ! [X10:$int] : (~$less(sK0,5) | $less(5,$sum(3,sK1)) | 5 = $sum(5,sK0) | $less(sK1,X10) | $sum(5,sK0) = X10 | ~$less(sK0,X10) | $less($sum(5,$sum(sK0,sK0)),X10)) )), 0.35/0.60 inference(resolution,[],[f159,f128])). 0.35/0.60 tff(f2188,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (~$less(sK0,5) | $less(5,$sum(3,sK1)) | 5 = $sum(5,sK0) | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(X12,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X11)) )), 0.35/0.60 inference(resolution,[],[f159,f141])). 0.35/0.60 tff(f2189,plain,( 0.35/0.60 ( ! [X13:$int] : (~$less(sK0,5) | $less(5,$sum(3,sK1)) | 5 = $sum(5,sK0) | $less(X13,$sum(3,sK1)) | $sum(5,sK0) = X13 | ~$less(sK0,X13) | $less($sum(5,$sum(sK0,sK0)),X13)) )), 0.35/0.60 inference(resolution,[],[f159,f147])). 0.35/0.60 tff(f2190,plain,( 0.35/0.60 ~$less(sK0,1) | $less(1,$sum(3,sK1)) | $sum(5,sK0) = 1 | ~$less(sK0,$sum(5,$sum(sK0,$sum(5,sK0)))) | $less($sum(5,$sum(sK0,$sum(5,sK0))),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(sK0,$sum(5,sK0)))), 0.35/0.60 inference(resolution,[],[f159,f160])). 0.35/0.60 tff(f2191,plain,( 0.35/0.60 ~$less(sK0,1) | $less(1,$sum(3,sK1)) | $sum(5,sK0) = 1 | ~$less(sK0,$sum(5,$sum(sK0,$sum(5,sK0)))) | $less(sK1,$sum(5,$sum(sK0,$sum(5,sK0)))) | $sum(5,sK0) = $sum(5,$sum(sK0,$sum(5,sK0)))), 0.35/0.60 inference(resolution,[],[f159,f140])). 0.35/0.60 tff(f2209,plain,( 0.35/0.60 ( ! [X12:$int] : ($less($sum(5,$sum(sK0,sK0)),$sum(X12,1)) | ~$less(sK0,5) | $less(5,$sum(3,sK1)) | 5 = $sum(5,sK0) | $less(sK1,$sum(X12,1)) | ~$less(sK0,$sum(X12,1)) | ~$less(X12,$sum(5,sK0))) )), 0.35/0.60 inference(superposition,[],[f159,f132])). 0.35/0.60 tff(f2210,plain,( 0.35/0.60 ( ! [X12:$int] : ($less($sum(5,$sum(sK0,sK0)),$sum(X12,1)) | ~$less(sK0,5) | $less($sum(5,-3),sK1) | $sum(5,-5) = sK0 | $less(sK1,$sum(X12,1)) | ~$less(sK0,$sum(X12,1)) | ~$less(X12,$sum(5,sK0))) )), 0.35/0.60 inference(evaluation,[],[f2209])). 0.35/0.60 tff(f2211,plain,( 0.35/0.60 ( ! [X12:$int] : ($less($sum(5,$sum(sK0,sK0)),$sum(X12,1)) | ~$less(sK0,5) | $less(2,sK1) | 0 = sK0 | $less(sK1,$sum(X12,1)) | ~$less(sK0,$sum(X12,1)) | ~$less(X12,$sum(5,sK0))) )), 0.35/0.60 inference(evaluation,[],[f2210])). 0.35/0.60 tff(f2215,plain,( 0.35/0.60 ~$less(sK0,1) | $less($sum(1,-3),sK1) | $sum(1,-5) = sK0 | ~$less(sK0,$sum(5,$sum(sK0,$sum(5,sK0)))) | $less(sK1,$sum(5,$sum(sK0,$sum(5,sK0)))) | $sum(5,sK0) = $sum(5,$sum(sK0,$sum(5,sK0)))), 0.35/0.60 inference(evaluation,[],[f2191])). 0.35/0.60 tff(f2216,plain,( 0.35/0.60 ~$less(sK0,1) | $less(-2,sK1) | sK0 = -4 | ~$less(sK0,$sum(5,$sum(sK0,$sum(5,sK0)))) | $less(sK1,$sum(5,$sum(sK0,$sum(5,sK0)))) | $sum(5,sK0) = $sum(5,$sum(sK0,$sum(5,sK0)))), 0.35/0.60 inference(evaluation,[],[f2215])). 0.35/0.60 tff(f2217,plain,( 0.35/0.60 ~$less(sK0,1) | $less($sum(1,-3),sK1) | $sum(1,-5) = sK0 | ~$less(sK0,$sum(5,$sum(sK0,$sum(5,sK0)))) | $less($sum(5,$sum(sK0,$sum(5,sK0))),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(sK0,$sum(5,sK0)))), 0.35/0.60 inference(evaluation,[],[f2190])). 0.35/0.60 tff(f2218,plain,( 0.35/0.60 ~$less(sK0,1) | $less(-2,sK1) | sK0 = -4 | ~$less(sK0,$sum(5,$sum(sK0,$sum(5,sK0)))) | $less($sum(5,$sum(sK0,$sum(5,sK0))),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(sK0,$sum(5,sK0)))), 0.35/0.60 inference(evaluation,[],[f2217])). 0.35/0.60 tff(f2219,plain,( 0.35/0.60 ( ! [X13:$int] : (~$less(sK0,5) | $less($sum(5,-3),sK1) | $sum(5,-5) = sK0 | $less(X13,$sum(3,sK1)) | $sum(5,sK0) = X13 | ~$less(sK0,X13) | $less($sum(5,$sum(sK0,sK0)),X13)) )), 0.35/0.60 inference(evaluation,[],[f2189])). 0.35/0.60 tff(f2220,plain,( 0.35/0.60 ( ! [X13:$int] : (~$less(sK0,5) | $less(2,sK1) | 0 = sK0 | $less(X13,$sum(3,sK1)) | $sum(5,sK0) = X13 | ~$less(sK0,X13) | $less($sum(5,$sum(sK0,sK0)),X13)) )), 0.35/0.60 inference(evaluation,[],[f2219])). 0.35/0.60 tff(f2221,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (~$less(sK0,5) | $less($sum(5,-3),sK1) | $sum(5,-5) = sK0 | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(X12,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X11)) )), 0.35/0.60 inference(evaluation,[],[f2188])). 0.35/0.60 tff(f2222,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (~$less(sK0,5) | $less(2,sK1) | 0 = sK0 | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(X12,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X11)) )), 0.35/0.60 inference(evaluation,[],[f2221])). 0.35/0.60 tff(f2223,plain,( 0.35/0.60 ( ! [X10:$int] : (~$less(sK0,5) | $less($sum(5,-3),sK1) | $sum(5,-5) = sK0 | $less(sK1,X10) | $sum(5,sK0) = X10 | ~$less(sK0,X10) | $less($sum(5,$sum(sK0,sK0)),X10)) )), 0.35/0.60 inference(evaluation,[],[f2187])). 0.35/0.60 tff(f2224,plain,( 0.35/0.60 ( ! [X10:$int] : (~$less(sK0,5) | $less(2,sK1) | 0 = sK0 | $less(sK1,X10) | $sum(5,sK0) = X10 | ~$less(sK0,X10) | $less($sum(5,$sum(sK0,sK0)),X10)) )), 0.35/0.60 inference(evaluation,[],[f2223])). 0.35/0.60 tff(f2225,plain,( 0.35/0.60 ( ! [X9:$int] : (~$less(sK0,5) | $less($sum(5,-3),sK1) | $sum(5,-5) = sK0 | $less(X9,$sum(3,sK1)) | ~$less(sK0,X9) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1))) )), 0.35/0.60 inference(evaluation,[],[f2186])). 0.35/0.60 tff(f2226,plain,( 0.35/0.60 ( ! [X9:$int] : (~$less(sK0,5) | $less(2,sK1) | 0 = sK0 | $less(X9,$sum(3,sK1)) | ~$less(sK0,X9) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1))) )), 0.35/0.60 inference(evaluation,[],[f2225])). 0.35/0.60 tff(f2227,plain,( 0.35/0.60 ( ! [X8:$int,X7:$int] : (~$less(sK0,5) | $less($sum(5,-3),sK1) | $sum(5,-5) = sK0 | ~$less(X7,X8) | $less(sK1,X7) | ~$less(X8,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X7)) )), 0.35/0.60 inference(evaluation,[],[f2185])). 0.35/0.60 tff(f2228,plain,( 0.35/0.60 ( ! [X8:$int,X7:$int] : (~$less(sK0,5) | $less(2,sK1) | 0 = sK0 | ~$less(X7,X8) | $less(sK1,X7) | ~$less(X8,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X7)) )), 0.35/0.60 inference(evaluation,[],[f2227])). 0.35/0.60 tff(f2229,plain,( 0.35/0.60 ( ! [X6:$int] : (~$less(sK0,5) | $less($sum(5,-3),sK1) | $sum(5,-5) = sK0 | $less(sK1,X6) | ~$less(sK0,X6) | $less($sum(5,$sum(sK0,sK0)),$sum(X6,1))) )), 0.35/0.60 inference(evaluation,[],[f2184])). 0.35/0.60 tff(f2230,plain,( 0.35/0.60 ( ! [X6:$int] : (~$less(sK0,5) | $less(2,sK1) | 0 = sK0 | $less(sK1,X6) | ~$less(sK0,X6) | $less($sum(5,$sum(sK0,sK0)),$sum(X6,1))) )), 0.35/0.60 inference(evaluation,[],[f2229])). 0.35/0.60 tff(f2231,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(sK0,5) | $less($sum(5,-3),sK1) | $sum(5,-5) = sK0 | ~$less(sK0,X5) | ~$less(X5,$sum(5,$sum(sK0,sK0))) | $less(X5,$sum(3,sK1))) )), 0.35/0.60 inference(evaluation,[],[f2183])). 0.35/0.60 tff(f2232,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(sK0,5) | $less(2,sK1) | 0 = sK0 | ~$less(sK0,X5) | ~$less(X5,$sum(5,$sum(sK0,sK0))) | $less(X5,$sum(3,sK1))) )), 0.35/0.60 inference(evaluation,[],[f2231])). 0.35/0.60 tff(f2233,plain,( 0.35/0.60 ( ! [X4:$int] : (~$less(sK0,5) | $less($sum(5,-3),sK1) | $sum(5,-5) = sK0 | ~$less(sK0,X4) | ~$less(X4,$sum(5,$sum(sK0,sK0))) | $less(sK1,X4)) )), 0.35/0.60 inference(evaluation,[],[f2182])). 0.35/0.60 tff(f2234,plain,( 0.35/0.60 ( ! [X4:$int] : (~$less(sK0,5) | $less(2,sK1) | 0 = sK0 | ~$less(sK0,X4) | ~$less(X4,$sum(5,$sum(sK0,sK0))) | $less(sK1,X4)) )), 0.35/0.60 inference(evaluation,[],[f2233])). 0.35/0.60 tff(f2235,plain,( 0.35/0.60 ~$less(sK0,5) | $less($sum(5,-3),sK1) | $sum(5,-5) = sK0 | $less(sK1,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,$sum(5,$sum(sK0,sK0)))), 0.35/0.60 inference(evaluation,[],[f2181])). 0.35/0.60 tff(f2236,plain,( 0.35/0.60 ~$less(sK0,5) | $less(2,sK1) | 0 = sK0 | $less(sK1,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,$sum(5,$sum(sK0,sK0)))), 0.35/0.60 inference(evaluation,[],[f2235])). 0.35/0.60 tff(f2237,plain,( 0.35/0.60 ~$less(sK0,5) | $less($sum(5,-3),sK1) | $sum(5,-5) = sK0 | $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(sK0,sK0)))), 0.35/0.60 inference(evaluation,[],[f2180])). 0.35/0.60 tff(f2238,plain,( 0.35/0.60 ~$less(sK0,5) | $less(2,sK1) | 0 = sK0 | $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(sK0,sK0)))), 0.35/0.60 inference(evaluation,[],[f2237])). 0.35/0.60 tff(f2263,plain,( 0.35/0.60 ~$less(1,5) | $less(2,sK1) | 0 = sK0 | $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2238,f231])). 0.35/0.60 tff(f2264,plain,( 0.35/0.60 $less(2,sK1) | 0 = sK0 | $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2263])). 0.35/0.60 tff(f2265,plain,( 0.35/0.60 0 = 1 | $less(2,sK1) | $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2264,f231])). 0.35/0.60 tff(f2266,plain,( 0.35/0.60 $less(2,sK1) | $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2265])). 0.35/0.60 tff(f2267,plain,( 0.35/0.60 $less($sum(5,$sum(1,1)),$sum(3,sK1)) | $less(2,sK1) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2266,f231])). 0.35/0.60 tff(f2268,plain,( 0.35/0.60 $less($sum(5,2),$sum(3,sK1)) | $less(2,sK1) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2267])). 0.35/0.60 tff(f2269,plain,( 0.35/0.60 $less($sum(7,-3),sK1) | $less(2,sK1) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2268])). 0.35/0.60 tff(f2270,plain,( 0.35/0.60 $less(4,sK1) | $less(2,sK1) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2269])). 0.35/0.60 tff(f2271,plain,( 0.35/0.60 $less(2,sK1) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | (~spl2_22 | ~spl2_53)), 0.35/0.60 inference(subsumption_resolution,[],[f2270,f1519])). 0.35/0.60 tff(f2272,plain,( 0.35/0.60 ~$less(1,$sum(5,$sum(1,1))) | $less(2,sK1) | (~spl2_22 | ~spl2_53)), 0.35/0.60 inference(forward_demodulation,[],[f2271,f231])). 0.35/0.60 tff(f2273,plain,( 0.35/0.60 ~$less(1,$sum(5,2)) | $less(2,sK1) | (~spl2_22 | ~spl2_53)), 0.35/0.60 inference(evaluation,[],[f2272])). 0.35/0.60 tff(f2274,plain,( 0.35/0.60 $less(2,sK1) | (~spl2_22 | ~spl2_53)), 0.35/0.60 inference(evaluation,[],[f2273])). 0.35/0.60 tff(f2276,plain,( 0.35/0.60 spl2_62 <=> $less(2,sK1)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_62])])). 0.35/0.60 tff(f2278,plain,( 0.35/0.60 spl2_62 | ~spl2_22 | spl2_53), 0.35/0.60 inference(avatar_split_clause,[],[f2274,f1518,f230,f2276])). 0.35/0.60 tff(f2279,plain,( 0.35/0.60 ~$less(1,5) | $less(2,sK1) | 0 = sK0 | $less(sK1,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2236,f231])). 0.35/0.60 tff(f2280,plain,( 0.35/0.60 $less(2,sK1) | 0 = sK0 | $less(sK1,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2279])). 0.35/0.60 tff(f2281,plain,( 0.35/0.60 0 = 1 | $less(2,sK1) | $less(sK1,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2280,f231])). 0.35/0.60 tff(f2282,plain,( 0.35/0.60 $less(2,sK1) | $less(sK1,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2281])). 0.35/0.60 tff(f2283,plain,( 0.35/0.60 $less(sK1,$sum(5,$sum(1,1))) | $less(2,sK1) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2282,f231])). 0.35/0.60 tff(f2284,plain,( 0.35/0.60 $less(sK1,$sum(5,2)) | $less(2,sK1) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2283])). 0.35/0.60 tff(f2285,plain,( 0.35/0.60 $less(sK1,7) | $less(2,sK1) | ~$less(sK0,$sum(5,$sum(sK0,sK0))) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2284])). 0.35/0.60 tff(f2286,plain,( 0.35/0.60 ~$less(1,$sum(5,$sum(1,1))) | $less(sK1,7) | $less(2,sK1) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2285,f231])). 0.35/0.60 tff(f2287,plain,( 0.35/0.60 ~$less(1,$sum(5,2)) | $less(sK1,7) | $less(2,sK1) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2286])). 0.35/0.60 tff(f2288,plain,( 0.35/0.60 $less(sK1,7) | $less(2,sK1) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2287])). 0.35/0.60 tff(f2289,plain,( 0.35/0.60 spl2_62 | spl2_54 | ~spl2_22), 0.35/0.60 inference(avatar_split_clause,[],[f2288,f230,f1359,f2276])). 0.35/0.60 tff(f2295,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(1,5) | $less(2,sK1) | 0 = sK0 | ~$less(sK0,X5) | ~$less(X5,$sum(5,$sum(sK0,sK0))) | $less(X5,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2232,f231])). 0.35/0.60 tff(f2296,plain,( 0.35/0.60 ( ! [X5:$int] : ($less(2,sK1) | 0 = sK0 | ~$less(sK0,X5) | ~$less(X5,$sum(5,$sum(sK0,sK0))) | $less(X5,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2295])). 0.35/0.60 tff(f2297,plain,( 0.35/0.60 ( ! [X5:$int] : (0 = 1 | $less(2,sK1) | ~$less(sK0,X5) | ~$less(X5,$sum(5,$sum(sK0,sK0))) | $less(X5,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2296,f231])). 0.35/0.60 tff(f2298,plain,( 0.35/0.60 ( ! [X5:$int] : ($less(2,sK1) | ~$less(sK0,X5) | ~$less(X5,$sum(5,$sum(sK0,sK0))) | $less(X5,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2297])). 0.35/0.60 tff(f2299,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(1,X5) | $less(2,sK1) | ~$less(X5,$sum(5,$sum(sK0,sK0))) | $less(X5,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2298,f231])). 0.35/0.60 tff(f2300,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(X5,$sum(5,$sum(1,1))) | ~$less(1,X5) | $less(2,sK1) | $less(X5,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2299,f231])). 0.35/0.60 tff(f2301,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(X5,$sum(5,2)) | ~$less(1,X5) | $less(2,sK1) | $less(X5,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2300])). 0.35/0.60 tff(f2302,plain,( 0.35/0.60 ( ! [X5:$int] : (~$less(X5,7) | ~$less(1,X5) | $less(2,sK1) | $less(X5,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2301])). 0.35/0.60 tff(f2303,plain,( 0.35/0.60 spl2_62 | spl2_56 | ~spl2_22), 0.35/0.60 inference(avatar_split_clause,[],[f2302,f230,f1376,f2276])). 0.35/0.60 tff(f2317,plain,( 0.35/0.60 ( ! [X9:$int] : (~$less(1,5) | $less(2,sK1) | 0 = sK0 | $less(X9,$sum(3,sK1)) | ~$less(sK0,X9) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2226,f231])). 0.35/0.60 tff(f2318,plain,( 0.35/0.60 ( ! [X9:$int] : ($less(2,sK1) | 0 = sK0 | $less(X9,$sum(3,sK1)) | ~$less(sK0,X9) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2317])). 0.35/0.60 tff(f2319,plain,( 0.35/0.60 ( ! [X9:$int] : (0 = 1 | $less(2,sK1) | $less(X9,$sum(3,sK1)) | ~$less(sK0,X9) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2318,f231])). 0.35/0.60 tff(f2320,plain,( 0.35/0.60 ( ! [X9:$int] : ($less(2,sK1) | $less(X9,$sum(3,sK1)) | ~$less(sK0,X9) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2319])). 0.35/0.60 tff(f2321,plain,( 0.35/0.60 ( ! [X9:$int] : (~$less(1,X9) | $less(2,sK1) | $less(X9,$sum(3,sK1)) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2320,f231])). 0.35/0.60 tff(f2322,plain,( 0.35/0.60 ( ! [X9:$int] : ($less($sum(5,$sum(1,1)),$sum(X9,1)) | ~$less(1,X9) | $less(2,sK1) | $less(X9,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2321,f231])). 0.35/0.60 tff(f2323,plain,( 0.35/0.60 ( ! [X9:$int] : ($less($sum(5,2),$sum(X9,1)) | ~$less(1,X9) | $less(2,sK1) | $less(X9,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2322])). 0.35/0.60 tff(f2324,plain,( 0.35/0.60 ( ! [X9:$int] : ($less($sum(7,-1),X9) | ~$less(1,X9) | $less(2,sK1) | $less(X9,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2323])). 0.35/0.60 tff(f2325,plain,( 0.35/0.60 ( ! [X9:$int] : ($less(6,X9) | ~$less(1,X9) | $less(2,sK1) | $less(X9,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2324])). 0.35/0.60 tff(f2326,plain,( 0.35/0.60 spl2_62 | spl2_58 | ~spl2_22), 0.35/0.60 inference(avatar_split_clause,[],[f2325,f230,f1402,f2276])). 0.35/0.60 tff(f2334,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (~$less(1,5) | $less(2,sK1) | 0 = sK0 | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(X12,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X11)) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2222,f231])). 0.35/0.60 tff(f2335,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : ($less(2,sK1) | 0 = sK0 | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(X12,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X11)) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2334])). 0.35/0.60 tff(f2336,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (0 = 1 | $less(2,sK1) | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(X12,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X11)) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2335,f231])). 0.35/0.60 tff(f2337,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : ($less(2,sK1) | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(X12,$sum(5,$sum(sK0,sK0))) | ~$less(sK0,X11)) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2336])). 0.35/0.60 tff(f2338,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (~$less(X12,$sum(5,$sum(1,1))) | $less(2,sK1) | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(sK0,X11)) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2337,f231])). 0.35/0.60 tff(f2339,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (~$less(X12,$sum(5,2)) | $less(2,sK1) | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(sK0,X11)) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2338])). 0.35/0.60 tff(f2340,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (~$less(X12,7) | $less(2,sK1) | ~$less(X11,X12) | $less(X11,$sum(3,sK1)) | ~$less(sK0,X11)) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2339])). 0.35/0.60 tff(f2341,plain,( 0.35/0.60 ( ! [X12:$int,X11:$int] : (~$less(1,X11) | ~$less(X12,7) | $less(2,sK1) | ~$less(X11,X12) | $less(X11,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2340,f231])). 0.35/0.60 tff(f2342,plain,( 0.35/0.60 spl2_62 | spl2_60 | ~spl2_22), 0.35/0.60 inference(avatar_split_clause,[],[f2341,f230,f1421,f2276])). 0.35/0.60 tff(f2343,plain,( 0.35/0.60 ( ! [X13:$int] : (~$less(1,5) | $less(2,sK1) | 0 = sK0 | $less(X13,$sum(3,sK1)) | $sum(5,sK0) = X13 | ~$less(sK0,X13) | $less($sum(5,$sum(sK0,sK0)),X13)) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2220,f231])). 0.35/0.60 tff(f2344,plain,( 0.35/0.60 ( ! [X13:$int] : ($less(2,sK1) | 0 = sK0 | $less(X13,$sum(3,sK1)) | $sum(5,sK0) = X13 | ~$less(sK0,X13) | $less($sum(5,$sum(sK0,sK0)),X13)) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2343])). 0.35/0.60 tff(f2345,plain,( 0.35/0.60 ( ! [X13:$int] : (0 = 1 | $less(2,sK1) | $less(X13,$sum(3,sK1)) | $sum(5,sK0) = X13 | ~$less(sK0,X13) | $less($sum(5,$sum(sK0,sK0)),X13)) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2344,f231])). 0.35/0.60 tff(f2346,plain,( 0.35/0.60 ( ! [X13:$int] : ($less(2,sK1) | $less(X13,$sum(3,sK1)) | $sum(5,sK0) = X13 | ~$less(sK0,X13) | $less($sum(5,$sum(sK0,sK0)),X13)) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2345])). 0.35/0.60 tff(f2347,plain,( 0.35/0.60 ( ! [X13:$int] : ($sum(5,1) = X13 | $less(2,sK1) | $less(X13,$sum(3,sK1)) | ~$less(sK0,X13) | $less($sum(5,$sum(sK0,sK0)),X13)) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2346,f231])). 0.35/0.60 tff(f2348,plain,( 0.35/0.60 ( ! [X13:$int] : (6 = X13 | $less(2,sK1) | $less(X13,$sum(3,sK1)) | ~$less(sK0,X13) | $less($sum(5,$sum(sK0,sK0)),X13)) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2347])). 0.35/0.60 tff(f2349,plain,( 0.35/0.60 ( ! [X13:$int] : (~$less(1,X13) | 6 = X13 | $less(2,sK1) | $less(X13,$sum(3,sK1)) | $less($sum(5,$sum(sK0,sK0)),X13)) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2348,f231])). 0.35/0.60 tff(f2350,plain,( 0.35/0.60 ( ! [X13:$int] : ($less($sum(5,$sum(1,1)),X13) | ~$less(1,X13) | 6 = X13 | $less(2,sK1) | $less(X13,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2349,f231])). 0.35/0.60 tff(f2351,plain,( 0.35/0.60 ( ! [X13:$int] : ($less($sum(5,2),X13) | ~$less(1,X13) | 6 = X13 | $less(2,sK1) | $less(X13,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2350])). 0.35/0.60 tff(f2352,plain,( 0.35/0.60 ( ! [X13:$int] : ($less(7,X13) | ~$less(1,X13) | 6 = X13 | $less(2,sK1) | $less(X13,$sum(3,sK1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2351])). 0.35/0.60 tff(f2354,plain,( 0.35/0.60 spl2_64 <=> ! [X13 : $int] : ($less(7,X13) | $less(X13,$sum(3,sK1)) | 6 = X13 | ~$less(1,X13))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_64])])). 0.35/0.60 tff(f2356,plain,( 0.35/0.60 spl2_62 | spl2_64 | ~spl2_22), 0.35/0.60 inference(avatar_split_clause,[],[f2352,f230,f2354,f2276])). 0.35/0.60 tff(f2427,plain,( 0.35/0.60 ( ! [X12:$int] : ($less($sum(5,$sum(1,1)),$sum(X12,1)) | ~$less(sK0,5) | $less(2,sK1) | 0 = sK0 | $less(sK1,$sum(X12,1)) | ~$less(sK0,$sum(X12,1)) | ~$less(X12,$sum(5,sK0))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2211,f231])). 0.35/0.60 tff(f2428,plain,( 0.35/0.60 ( ! [X12:$int] : ($less($sum(5,2),$sum(X12,1)) | ~$less(sK0,5) | $less(2,sK1) | 0 = sK0 | $less(sK1,$sum(X12,1)) | ~$less(sK0,$sum(X12,1)) | ~$less(X12,$sum(5,sK0))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2427])). 0.35/0.60 tff(f2429,plain,( 0.35/0.60 ( ! [X12:$int] : ($less($sum(7,-1),X12) | ~$less(sK0,5) | $less(2,sK1) | 0 = sK0 | $less(sK1,$sum(X12,1)) | ~$less(sK0,$sum(X12,1)) | ~$less(X12,$sum(5,sK0))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2428])). 0.35/0.60 tff(f2430,plain,( 0.35/0.60 ( ! [X12:$int] : ($less(6,X12) | ~$less(sK0,5) | $less(2,sK1) | 0 = sK0 | $less(sK1,$sum(X12,1)) | ~$less(sK0,$sum(X12,1)) | ~$less(X12,$sum(5,sK0))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2429])). 0.35/0.60 tff(f2431,plain,( 0.35/0.60 ( ! [X12:$int] : (~$less(1,5) | $less(6,X12) | $less(2,sK1) | 0 = sK0 | $less(sK1,$sum(X12,1)) | ~$less(sK0,$sum(X12,1)) | ~$less(X12,$sum(5,sK0))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2430,f231])). 0.35/0.60 tff(f2432,plain,( 0.35/0.60 ( ! [X12:$int] : ($less(6,X12) | $less(2,sK1) | 0 = sK0 | $less(sK1,$sum(X12,1)) | ~$less(sK0,$sum(X12,1)) | ~$less(X12,$sum(5,sK0))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2431])). 0.35/0.60 tff(f2433,plain,( 0.35/0.60 ( ! [X12:$int] : (0 = 1 | $less(6,X12) | $less(2,sK1) | $less(sK1,$sum(X12,1)) | ~$less(sK0,$sum(X12,1)) | ~$less(X12,$sum(5,sK0))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2432,f231])). 0.35/0.60 tff(f2434,plain,( 0.35/0.60 ( ! [X12:$int] : ($less(6,X12) | $less(2,sK1) | $less(sK1,$sum(X12,1)) | ~$less(sK0,$sum(X12,1)) | ~$less(X12,$sum(5,sK0))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2433])). 0.35/0.60 tff(f2435,plain,( 0.35/0.60 ( ! [X12:$int] : (~$less(1,$sum(X12,1)) | $less(6,X12) | $less(2,sK1) | $less(sK1,$sum(X12,1)) | ~$less(X12,$sum(5,sK0))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2434,f231])). 0.35/0.60 tff(f2436,plain,( 0.35/0.60 ( ! [X12:$int] : (~$less($sum(1,-1),X12) | $less(6,X12) | $less(2,sK1) | $less(sK1,$sum(X12,1)) | ~$less(X12,$sum(5,sK0))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2435])). 0.35/0.60 tff(f2437,plain,( 0.35/0.60 ( ! [X12:$int] : (~$less(0,X12) | $less(6,X12) | $less(2,sK1) | $less(sK1,$sum(X12,1)) | ~$less(X12,$sum(5,sK0))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2436])). 0.35/0.60 tff(f2438,plain,( 0.35/0.60 ( ! [X12:$int] : (~$less(X12,$sum(5,1)) | ~$less(0,X12) | $less(6,X12) | $less(2,sK1) | $less(sK1,$sum(X12,1))) ) | ~spl2_22), 0.35/0.60 inference(forward_demodulation,[],[f2437,f231])). 0.35/0.60 tff(f2439,plain,( 0.35/0.60 ( ! [X12:$int] : (~$less(X12,6) | ~$less(0,X12) | $less(6,X12) | $less(2,sK1) | $less(sK1,$sum(X12,1))) ) | ~spl2_22), 0.35/0.60 inference(evaluation,[],[f2438])). 0.35/0.60 tff(f2441,plain,( 0.35/0.60 spl2_66 <=> ! [X12 : $int] : (~$less(X12,6) | $less(sK1,$sum(X12,1)) | $less(6,X12) | ~$less(0,X12))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_66])])). 0.35/0.60 tff(f2443,plain,( 0.35/0.60 spl2_62 | spl2_66 | ~spl2_22), 0.35/0.60 inference(avatar_split_clause,[],[f2439,f230,f2441,f2276])). 0.35/0.60 tff(f2445,plain,( 0.35/0.60 spl2_69 <=> ~$less(sK0,5)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_69])])). 0.35/0.60 tff(f2448,plain,( 0.35/0.60 spl2_70 <=> ! [X12 : $int] : ($less($sum(5,$sum(sK0,sK0)),$sum(X12,1)) | ~$less(X12,$sum(5,sK0)) | ~$less(sK0,$sum(X12,1)) | $less(sK1,$sum(X12,1)))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_70])])). 0.35/0.60 tff(f2450,plain,( 0.35/0.60 spl2_32 | spl2_62 | ~spl2_69 | spl2_70), 0.35/0.60 inference(avatar_split_clause,[],[f2211,f2448,f2445,f2276,f389])). 0.35/0.60 tff(f2457,plain,( 0.35/0.60 spl2_72 <=> $sum(5,sK0) = $sum(5,$sum(sK0,$sum(5,sK0)))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_72])])). 0.35/0.60 tff(f2460,plain,( 0.35/0.60 spl2_74 <=> $less(sK1,$sum(5,$sum(sK0,$sum(5,sK0))))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_74])])). 0.35/0.60 tff(f2463,plain,( 0.35/0.60 spl2_77 <=> ~$less(sK0,$sum(5,$sum(sK0,$sum(5,sK0))))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_77])])). 0.35/0.60 tff(f2466,plain,( 0.35/0.60 spl2_78 <=> sK0 = -4), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_78])])). 0.35/0.60 tff(f2468,plain,( 0.35/0.60 spl2_72 | spl2_74 | ~spl2_77 | spl2_78 | spl2_28 | ~spl2_5), 0.35/0.60 inference(avatar_split_clause,[],[f2216,f91,f259,f2466,f2463,f2460,f2457])). 0.35/0.60 tff(f2470,plain,( 0.35/0.60 spl2_80 <=> $less($sum(5,$sum(sK0,$sum(5,sK0))),$sum(3,sK1))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_80])])). 0.35/0.60 tff(f2472,plain,( 0.35/0.60 spl2_72 | spl2_80 | ~spl2_77 | spl2_78 | spl2_28 | ~spl2_5), 0.35/0.60 inference(avatar_split_clause,[],[f2218,f91,f259,f2466,f2463,f2470,f2457])). 0.35/0.60 tff(f2474,plain,( 0.35/0.60 spl2_82 <=> ! [X13 : $int] : ($less(X13,$sum(3,sK1)) | $less($sum(5,$sum(sK0,sK0)),X13) | ~$less(sK0,X13) | $sum(5,sK0) = X13)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_82])])). 0.35/0.60 tff(f2476,plain,( 0.35/0.60 spl2_82 | spl2_32 | spl2_62 | ~spl2_69), 0.35/0.60 inference(avatar_split_clause,[],[f2220,f2445,f2276,f389,f2474])). 0.35/0.60 tff(f2478,plain,( 0.35/0.60 spl2_84 <=> ! [X11 : $int,X12 : $int] : (~$less(X11,X12) | ~$less(sK0,X11) | ~$less(X12,$sum(5,$sum(sK0,sK0))) | $less(X11,$sum(3,sK1)))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_84])])). 0.35/0.60 tff(f2480,plain,( 0.35/0.60 spl2_84 | spl2_32 | spl2_62 | ~spl2_69), 0.35/0.60 inference(avatar_split_clause,[],[f2222,f2445,f2276,f389,f2478])). 0.35/0.60 tff(f2482,plain,( 0.35/0.60 spl2_86 <=> ! [X10 : $int] : ($less(sK1,X10) | $less($sum(5,$sum(sK0,sK0)),X10) | ~$less(sK0,X10) | $sum(5,sK0) = X10)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_86])])). 0.35/0.60 tff(f2484,plain,( 0.35/0.60 spl2_86 | spl2_32 | spl2_62 | ~spl2_69), 0.35/0.60 inference(avatar_split_clause,[],[f2224,f2445,f2276,f389,f2482])). 0.35/0.60 tff(f2486,plain,( 0.35/0.60 spl2_88 <=> ! [X9 : $int] : ($less(X9,$sum(3,sK1)) | $less($sum(5,$sum(sK0,sK0)),$sum(X9,1)) | ~$less(sK0,X9))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_88])])). 0.35/0.60 tff(f2488,plain,( 0.35/0.60 spl2_88 | spl2_32 | spl2_62 | ~spl2_69), 0.35/0.60 inference(avatar_split_clause,[],[f2226,f2445,f2276,f389,f2486])). 0.35/0.60 tff(f2490,plain,( 0.35/0.60 spl2_90 <=> ! [X7 : $int,X8 : $int] : (~$less(X7,X8) | ~$less(sK0,X7) | ~$less(X8,$sum(5,$sum(sK0,sK0))) | $less(sK1,X7))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_90])])). 0.35/0.60 tff(f2492,plain,( 0.35/0.60 spl2_90 | spl2_32 | spl2_62 | ~spl2_69), 0.35/0.60 inference(avatar_split_clause,[],[f2228,f2445,f2276,f389,f2490])). 0.35/0.60 tff(f2494,plain,( 0.35/0.60 spl2_92 <=> ! [X6 : $int] : ($less(sK1,X6) | $less($sum(5,$sum(sK0,sK0)),$sum(X6,1)) | ~$less(sK0,X6))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_92])])). 0.35/0.60 tff(f2496,plain,( 0.35/0.60 spl2_92 | spl2_32 | spl2_62 | ~spl2_69), 0.35/0.60 inference(avatar_split_clause,[],[f2230,f2445,f2276,f389,f2494])). 0.35/0.60 tff(f2498,plain,( 0.35/0.60 spl2_94 <=> ! [X5 : $int] : (~$less(sK0,X5) | $less(X5,$sum(3,sK1)) | ~$less(X5,$sum(5,$sum(sK0,sK0))))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_94])])). 0.35/0.60 tff(f2500,plain,( 0.35/0.60 spl2_94 | spl2_32 | spl2_62 | ~spl2_69), 0.35/0.60 inference(avatar_split_clause,[],[f2232,f2445,f2276,f389,f2498])). 0.35/0.60 tff(f2502,plain,( 0.35/0.60 spl2_96 <=> ! [X4 : $int] : (~$less(sK0,X4) | $less(sK1,X4) | ~$less(X4,$sum(5,$sum(sK0,sK0))))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_96])])). 0.35/0.60 tff(f2504,plain,( 0.35/0.60 spl2_96 | spl2_32 | spl2_62 | ~spl2_69), 0.35/0.60 inference(avatar_split_clause,[],[f2234,f2445,f2276,f389,f2502])). 0.35/0.60 tff(f2506,plain,( 0.35/0.60 spl2_99 <=> ~$less(sK0,$sum(5,$sum(sK0,sK0)))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_99])])). 0.35/0.60 tff(f2509,plain,( 0.35/0.60 spl2_100 <=> $less(sK1,$sum(5,$sum(sK0,sK0)))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_100])])). 0.35/0.60 tff(f2511,plain,( 0.35/0.60 ~spl2_99 | spl2_100 | spl2_32 | spl2_62 | ~spl2_69), 0.35/0.60 inference(avatar_split_clause,[],[f2236,f2445,f2276,f389,f2509,f2506])). 0.35/0.60 tff(f2513,plain,( 0.35/0.60 spl2_102 <=> $less($sum(5,$sum(sK0,sK0)),$sum(3,sK1))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_102])])). 0.35/0.60 tff(f2515,plain,( 0.35/0.60 ~spl2_99 | spl2_102 | spl2_32 | spl2_62 | ~spl2_69), 0.35/0.60 inference(avatar_split_clause,[],[f2238,f2445,f2276,f389,f2513,f2506])). 0.35/0.60 tff(f2517,plain,( 0.35/0.60 spl2_104 <=> ! [X3 : $int] : (~$less(sK0,X3) | ~$less(X3,5) | $sum(5,sK0) = X3 | $less(X3,$sum(3,sK1)))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_104])])). 0.35/0.60 tff(f2519,plain,( 0.35/0.60 spl2_100 | ~spl2_99 | spl2_104), 0.35/0.60 inference(avatar_split_clause,[],[f2179,f2517,f2506,f2509])). 0.35/0.60 tff(f2521,plain,( 0.35/0.60 spl2_106 <=> ! [X2 : $int] : (~$less(sK0,X2) | $less(sK1,$sum(X2,sK0)) | ~$less(X2,5) | $sum(5,sK0) = X2 | $less(X2,$sum(3,sK1)))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_106])])). 0.35/0.60 tff(f2523,plain,( 0.35/0.60 ~spl2_99 | spl2_106), 0.35/0.60 inference(avatar_split_clause,[],[f2178,f2521,f2506])). 0.35/0.60 tff(f2524,plain,( 0.35/0.60 spl2_102 | ~spl2_99 | spl2_104), 0.35/0.60 inference(avatar_split_clause,[],[f2177,f2517,f2506,f2513])). 0.35/0.60 tff(f2526,plain,( 0.35/0.60 ( ! [X37:$int] : ($less($sum(X37,$sum(1,sK0)),$sum(3,$sum(5,sK0))) | ~$less(sK0,$sum(X37,sK0)) | ~$less(X37,5) | $less(sK1,$sum(sK1,1)) | ~$less(sK0,$sum(sK1,1)) | ~$less(sK1,$sum(5,sK0))) )), 0.35/0.60 inference(forward_demodulation,[],[f1859,f3])). 0.35/0.60 tff(f2527,plain,( 0.35/0.60 ( ! [X37:$int] : ($less(sK1,$sum(1,sK1)) | $less($sum(X37,$sum(1,sK0)),$sum(3,$sum(5,sK0))) | ~$less(sK0,$sum(X37,sK0)) | ~$less(X37,5) | ~$less(sK0,$sum(sK1,1)) | ~$less(sK1,$sum(5,sK0))) )), 0.35/0.60 inference(forward_demodulation,[],[f2526,f3])). 0.35/0.60 tff(f2528,plain,( 0.35/0.60 ( ! [X37:$int] : (~$less(sK0,$sum(1,sK1)) | $less(sK1,$sum(1,sK1)) | $less($sum(X37,$sum(1,sK0)),$sum(3,$sum(5,sK0))) | ~$less(sK0,$sum(X37,sK0)) | ~$less(X37,5) | ~$less(sK1,$sum(5,sK0))) )), 0.35/0.60 inference(forward_demodulation,[],[f2527,f3])). 0.35/0.60 tff(f2530,plain,( 0.35/0.60 spl2_109 <=> ~$less(sK1,$sum(5,sK0))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_109])])). 0.35/0.60 tff(f2533,plain,( 0.35/0.60 spl2_110 <=> ! [X37 : $int] : ($less($sum(X37,$sum(1,sK0)),$sum(3,$sum(5,sK0))) | ~$less(X37,5) | ~$less(sK0,$sum(X37,sK0)))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_110])])). 0.35/0.60 tff(f2536,plain,( 0.35/0.60 spl2_112 <=> $less(sK1,$sum(1,sK1))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_112])])). 0.35/0.60 tff(f2539,plain,( 0.35/0.60 spl2_115 <=> ~$less(sK0,$sum(1,sK1))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_115])])). 0.35/0.60 tff(f2541,plain,( 0.35/0.60 ~spl2_109 | spl2_110 | spl2_112 | ~spl2_115), 0.35/0.60 inference(avatar_split_clause,[],[f2528,f2539,f2536,f2533,f2530])). 0.35/0.60 tff(f2553,plain,( 0.35/0.60 ~spl2_5 | ~spl2_26), 0.35/0.60 inference(avatar_split_clause,[],[f1719,f238,f91])). 0.35/0.60 tff(f2573,plain,( 0.35/0.60 spl2_116 <=> ! [X3 : $int] : (~$less(sK0,X3) | ~$less(X3,5) | $sum(5,sK0) = X3 | $less(sK1,X3))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_116])])). 0.35/0.60 tff(f2574,plain,( 0.35/0.60 ( ! [X3:$int] : ($sum(5,sK0) = X3 | ~$less(X3,5) | ~$less(sK0,X3) | $less(sK1,X3)) ) | ~spl2_116), 0.35/0.60 inference(avatar_component_clause,[],[f2573])). 0.35/0.60 tff(f2575,plain,( 0.35/0.60 spl2_100 | ~spl2_99 | spl2_116), 0.35/0.60 inference(avatar_split_clause,[],[f1277,f2573,f2506,f2509])). 0.35/0.60 tff(f2577,plain,( 0.35/0.60 spl2_118 <=> ! [X2 : $int] : (~$less(sK0,X2) | $less(sK1,$sum(X2,sK0)) | ~$less(X2,5) | $sum(5,sK0) = X2 | $less(sK1,X2))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_118])])). 0.35/0.60 tff(f2579,plain,( 0.35/0.60 ~spl2_99 | spl2_118), 0.35/0.60 inference(avatar_split_clause,[],[f1276,f2577,f2506])). 0.35/0.60 tff(f2580,plain,( 0.35/0.60 spl2_102 | ~spl2_99 | spl2_116), 0.35/0.60 inference(avatar_split_clause,[],[f1275,f2573,f2506,f2513])). 0.35/0.60 tff(f2610,plain,( 0.35/0.60 spl2_120 <=> $less(-2,sK0)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_120])])). 0.35/0.60 tff(f2612,plain,( 0.35/0.60 spl2_120 | spl2_15), 0.35/0.60 inference(avatar_split_clause,[],[f744,f111,f2610])). 0.35/0.60 tff(f2623,plain,( 0.35/0.60 spl2_123 <=> ~$less(sK0,sK1)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_123])])). 0.35/0.60 tff(f2624,plain,( 0.35/0.60 ~$less(sK0,sK1) | ~spl2_123), 0.35/0.60 inference(avatar_component_clause,[],[f2623])). 0.35/0.60 tff(f2626,plain,( 0.35/0.60 spl2_124 <=> ! [X2 : $int] : (~$less(X2,5) | $sum(X2,sK0) = sK0 | $less($sum(X2,sK0),sK0))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_124])])). 0.35/0.60 tff(f2628,plain,( 0.35/0.60 ~spl2_123 | spl2_124), 0.35/0.60 inference(avatar_split_clause,[],[f534,f2626,f2623])). 0.35/0.60 tff(f2629,plain,( 0.35/0.60 ( ! [X0:$int] : (~$less(X0,5) | $less($sum(X0,sK0),sK0) | $sum(X0,sK0) = sK0 | ~$less(sK0,sK1)) )), 0.35/0.60 inference(global_subsumption,[],[f534])). 0.35/0.60 tff(f2630,plain,( 0.35/0.60 ~spl2_123 | spl2_124), 0.35/0.60 inference(avatar_split_clause,[],[f2629,f2626,f2623])). 0.35/0.60 tff(f2634,plain,( 0.35/0.60 spl2_22 | spl2_24 | spl2_5), 0.35/0.60 inference(avatar_split_clause,[],[f224,f91,f233,f230])). 0.35/0.60 tff(f2635,plain,( 0.35/0.60 spl2_22 | spl2_24 | spl2_5), 0.35/0.60 inference(avatar_split_clause,[],[f225,f91,f233,f230])). 0.35/0.60 tff(f2636,plain,( 0.35/0.60 spl2_32 | spl2_26 | spl2_9), 0.35/0.60 inference(avatar_split_clause,[],[f383,f101,f238,f389])). 0.35/0.60 tff(f2637,plain,( 0.35/0.60 spl2_32 | spl2_26 | spl2_9), 0.35/0.60 inference(avatar_split_clause,[],[f384,f101,f238,f389])). 0.35/0.60 tff(f2708,plain,( 0.35/0.60 $less(0,sK0) | 0 = sK0 | ~spl2_9), 0.35/0.60 inference(resolution,[],[f102,f10])). 0.35/0.60 tff(f2709,plain,( 0.35/0.60 $less(0,sK0) | 0 = sK0 | ~spl2_9), 0.35/0.60 inference(resolution,[],[f102,f10])). 0.35/0.60 tff(f2716,plain,( 0.35/0.60 ~$less(sK1,$sum(-2,1)) | ~spl2_28), 0.35/0.60 inference(resolution,[],[f260,f14])). 0.35/0.60 tff(f2717,plain,( 0.35/0.60 ~$less(sK1,-1) | ~spl2_28), 0.35/0.60 inference(evaluation,[],[f2716])). 0.35/0.60 tff(f2719,plain,( 0.35/0.60 spl2_13 <=> ~$less(sK1,-1)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_13])])). 0.35/0.60 tff(f2721,plain,( 0.35/0.60 ~spl2_13 | ~spl2_28), 0.35/0.60 inference(avatar_split_clause,[],[f2717,f259,f2719])). 0.35/0.60 tff(f2723,plain,( 0.35/0.60 $less(sK1,sK0) | sK0 = sK1 | ~spl2_123), 0.35/0.60 inference(resolution,[],[f2624,f10])). 0.35/0.60 tff(f2724,plain,( 0.35/0.60 $less(sK1,sK0) | sK0 = sK1 | ~spl2_123), 0.35/0.60 inference(resolution,[],[f2624,f10])). 0.35/0.60 tff(f2727,plain,( 0.35/0.60 $less(sK1,0) | sK0 = sK1 | (~spl2_32 | ~spl2_123)), 0.35/0.60 inference(forward_demodulation,[],[f2723,f390])). 0.35/0.60 tff(f2728,plain,( 0.35/0.60 0 = sK1 | $less(sK1,0) | (~spl2_32 | ~spl2_123)), 0.35/0.60 inference(forward_demodulation,[],[f2727,f390])). 0.35/0.60 tff(f2730,plain,( 0.35/0.60 spl2_126 <=> 0 = sK1), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_126])])). 0.35/0.60 tff(f2731,plain,( 0.35/0.60 0 = sK1 | ~spl2_126), 0.35/0.60 inference(avatar_component_clause,[],[f2730])). 0.35/0.60 tff(f2732,plain,( 0.35/0.60 spl2_6 | spl2_126 | ~spl2_32 | spl2_123), 0.35/0.60 inference(avatar_split_clause,[],[f2728,f2623,f389,f2730,f98])). 0.35/0.60 tff(f2733,plain,( 0.35/0.60 $less(sK1,0) | sK0 = sK1 | (~spl2_32 | ~spl2_123)), 0.35/0.60 inference(forward_demodulation,[],[f2724,f390])). 0.35/0.60 tff(f2734,plain,( 0.35/0.60 0 = sK1 | $less(sK1,0) | (~spl2_32 | ~spl2_123)), 0.35/0.60 inference(forward_demodulation,[],[f2733,f390])). 0.35/0.60 tff(f2735,plain,( 0.35/0.60 spl2_6 | spl2_126 | ~spl2_32 | spl2_123), 0.35/0.60 inference(avatar_split_clause,[],[f2734,f2623,f389,f2730,f98])). 0.35/0.60 tff(f2743,plain,( 0.35/0.60 ~$less($sum(1,sK0),$sum(sK1,1)) | ~spl2_20), 0.35/0.60 inference(resolution,[],[f184,f14])). 0.35/0.60 tff(f2755,plain,( 0.35/0.60 ~$less($sum(1,sK0),$sum(1,sK1)) | ~spl2_20), 0.35/0.60 inference(forward_demodulation,[],[f2743,f3])). 0.35/0.60 tff(f2773,plain,( 0.35/0.60 $less(sK1,0) | 0 = sK1 | ~spl2_31), 0.35/0.60 inference(resolution,[],[f308,f10])). 0.35/0.60 tff(f2774,plain,( 0.35/0.60 $less(sK1,0) | 0 = sK1 | ~spl2_31), 0.35/0.60 inference(resolution,[],[f308,f10])). 0.35/0.60 tff(f2787,plain,( 0.35/0.60 ( ! [X11:$int] : (~$less(sK0,$sum(5,sK0)) | $less(sK1,$sum(5,sK0)) | ~$less(sK0,X11) | ~$less(X11,$sum(5,$sum(-1,sK0))) | $less(sK1,X11)) )), 0.35/0.60 inference(resolution,[],[f379,f23])). 0.35/0.60 tff(f2788,plain,( 0.35/0.60 ( ! [X12:$int] : (~$less(sK0,$sum(5,sK0)) | $less(sK1,$sum(5,sK0)) | ~$less(sK0,X12) | ~$less(X12,$sum(5,$sum(-1,sK0))) | $less(X12,$sum(3,sK1))) )), 0.35/0.60 inference(resolution,[],[f379,f28])). 0.35/0.60 tff(f2789,plain,( 0.35/0.60 ( ! [X13:$int] : (~$less(sK0,$sum(5,sK0)) | $less(sK1,$sum(5,sK0)) | $less(sK1,X13) | ~$less(sK0,X13) | $less($sum(5,$sum(-1,sK0)),$sum(X13,1))) )), 0.35/0.60 inference(resolution,[],[f379,f34])). 0.35/0.60 tff(f2790,plain,( 0.35/0.60 ( ! [X14:$int,X15:$int] : (~$less(sK0,$sum(5,sK0)) | $less(sK1,$sum(5,sK0)) | ~$less(X14,X15) | $less(sK1,X14) | ~$less(X15,$sum(5,$sum(-1,sK0))) | ~$less(sK0,X14)) )), 0.35/0.60 inference(resolution,[],[f379,f53])). 0.35/0.60 tff(f2791,plain,( 0.35/0.60 ( ! [X16:$int] : (~$less(sK0,$sum(5,sK0)) | $less(sK1,$sum(5,sK0)) | $less(X16,$sum(3,sK1)) | ~$less(sK0,X16) | $less($sum(5,$sum(-1,sK0)),$sum(X16,1))) )), 0.35/0.60 inference(resolution,[],[f379,f59])). 0.35/0.60 tff(f2793,plain,( 0.35/0.60 ( ! [X19:$int,X18:$int] : (~$less(sK0,$sum(5,sK0)) | $less(sK1,$sum(5,sK0)) | ~$less(X18,X19) | $less(X18,$sum(3,sK1)) | ~$less(X19,$sum(5,$sum(-1,sK0))) | ~$less(sK0,X18)) )), 0.35/0.60 inference(resolution,[],[f379,f141])). 0.35/0.60 tff(f2795,plain,( 0.35/0.60 ~$less(sK0,$sum(1,$sum(5,sK0))) | $less(sK1,$sum(1,$sum(5,sK0))) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0))), 0.35/0.60 inference(resolution,[],[f379,f160])). 0.35/0.60 tff(f2796,plain,( 0.35/0.60 ~$less(sK0,$sum(1,$sum(5,sK0))) | $less(sK1,$sum(1,$sum(5,sK0))) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0))), 0.35/0.60 inference(resolution,[],[f379,f140])). 0.35/0.60 tff(f2797,plain,( 0.35/0.60 ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0)))), 0.35/0.60 inference(resolution,[],[f379,f8])). 0.35/0.60 tff(f2845,plain,( 0.35/0.60 ~$less(0,$sum(1,$sum(5,0))) | $less(sK1,$sum(1,$sum(5,sK0))) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f2795,f390])). 0.35/0.60 tff(f2846,plain,( 0.35/0.60 ~$less(0,$sum(1,5)) | $less(sK1,$sum(1,$sum(5,sK0))) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f2845])). 0.35/0.60 tff(f2847,plain,( 0.35/0.60 $less(sK1,$sum(1,$sum(5,sK0))) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f2846])). 0.35/0.60 tff(f2848,plain,( 0.35/0.60 $less(sK1,$sum(1,$sum(5,0))) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f2847,f390])). 0.35/0.60 tff(f2849,plain,( 0.35/0.60 $less(sK1,$sum(1,5)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f2848])). 0.35/0.60 tff(f2850,plain,( 0.35/0.60 $less(sK1,6) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f2849])). 0.35/0.60 tff(f2852,plain,( 0.35/0.60 ~$less(0,$sum(1,$sum(5,0))) | $less(sK1,$sum(1,$sum(5,sK0))) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f2796,f390])). 0.35/0.60 tff(f2853,plain,( 0.35/0.60 ~$less(0,$sum(1,5)) | $less(sK1,$sum(1,$sum(5,sK0))) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f2852])). 0.35/0.60 tff(f2854,plain,( 0.35/0.60 $less(sK1,$sum(1,$sum(5,sK0))) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f2853])). 0.35/0.60 tff(f2855,plain,( 0.35/0.60 $less(sK1,$sum(1,$sum(5,0))) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f2854,f390])). 0.35/0.60 tff(f2856,plain,( 0.35/0.60 $less(sK1,$sum(1,5)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f2855])). 0.35/0.60 tff(f2857,plain,( 0.35/0.60 $less(sK1,6) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f2856])). 0.35/0.60 tff(f2859,plain,( 0.35/0.60 ~$less(0,$sum(5,$sum(-1,0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f2797,f390])). 0.35/0.60 tff(f2860,plain,( 0.35/0.60 ~$less(0,$sum(5,-1)) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f2859])). 0.35/0.60 tff(f2861,plain,( 0.35/0.60 $less(sK1,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f2860])). 0.35/0.60 tff(f2862,plain,( 0.35/0.60 $less(sK1,$sum(5,$sum(-1,0))) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f2861,f390])). 0.35/0.60 tff(f2863,plain,( 0.35/0.60 $less(sK1,$sum(5,-1)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f2862])). 0.35/0.60 tff(f2864,plain,( 0.35/0.60 $less(sK1,4) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f2863])). 0.35/0.60 tff(f2876,plain,( 0.35/0.60 ( ! [X14:$int] : (~$less(sK0,$sum(5,sK0)) | $less(sK1,$sum(5,sK0)) | ~$less($sum(X14,1),5) | ~$less(sK0,$sum(sK0,X14)) | $less($sum(sK0,X14),$sum(3,sK1))) )), 0.35/0.60 inference(resolution,[],[f195,f65])). 0.35/0.60 tff(f2877,plain,( 0.35/0.60 ( ! [X15:$int] : (~$less(sK0,$sum(5,sK0)) | $less(sK1,$sum(5,sK0)) | ~$less($sum(X15,1),5) | ~$less(sK0,$sum(sK0,X15)) | $less(sK1,$sum(sK0,X15))) )), 0.35/0.60 inference(resolution,[],[f195,f40])). 0.35/0.60 tff(f2886,plain,( 0.35/0.60 ( ! [X28:$int] : (~$less(sK0,$sum(5,sK0)) | $less(sK1,$sum(5,sK0)) | ~$less(X28,5) | ~$less(sK0,$sum(sK0,X28)) | $less($sum(sK0,X28),$sum(3,sK1)) | $sum(5,sK0) = $sum(sK0,X28)) )), 0.35/0.60 inference(resolution,[],[f195,f29])). 0.35/0.60 tff(f2887,plain,( 0.35/0.60 ( ! [X29:$int] : (~$less(sK0,$sum(5,sK0)) | $less(sK1,$sum(5,sK0)) | ~$less(X29,5) | ~$less(sK0,$sum(sK0,X29)) | $less(sK1,$sum(sK0,X29)) | $sum(5,sK0) = $sum(sK0,X29)) )), 0.35/0.60 inference(resolution,[],[f195,f24])). 0.35/0.60 tff(f2888,plain,( 0.35/0.60 ( ! [X30:$int] : (~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~$less(X30,5) | ~$less(sK0,$sum(sK0,X30)) | $less(sK1,$sum(sK0,X30))) )), 0.35/0.60 inference(resolution,[],[f195,f379])). 0.35/0.60 tff(f2902,plain,( 0.35/0.60 ( ! [X15:$int] : (~$less(sK0,$sum(5,sK0)) | $less(sK1,$sum(5,sK0)) | ~$less(X15,$sum(5,-1)) | ~$less(sK0,$sum(sK0,X15)) | $less(sK1,$sum(sK0,X15))) )), 0.35/0.60 inference(evaluation,[],[f2877])). 0.35/0.60 tff(f2903,plain,( 0.35/0.60 ( ! [X15:$int] : (~$less(sK0,$sum(5,sK0)) | $less(sK1,$sum(5,sK0)) | ~$less(X15,4) | ~$less(sK0,$sum(sK0,X15)) | $less(sK1,$sum(sK0,X15))) )), 0.35/0.60 inference(evaluation,[],[f2902])). 0.35/0.60 tff(f2904,plain,( 0.35/0.60 ( ! [X14:$int] : (~$less(sK0,$sum(5,sK0)) | $less(sK1,$sum(5,sK0)) | ~$less(X14,$sum(5,-1)) | ~$less(sK0,$sum(sK0,X14)) | $less($sum(sK0,X14),$sum(3,sK1))) )), 0.35/0.60 inference(evaluation,[],[f2876])). 0.35/0.60 tff(f2905,plain,( 0.35/0.60 ( ! [X14:$int] : (~$less(sK0,$sum(5,sK0)) | $less(sK1,$sum(5,sK0)) | ~$less(X14,4) | ~$less(sK0,$sum(sK0,X14)) | $less($sum(sK0,X14),$sum(3,sK1))) )), 0.35/0.60 inference(evaluation,[],[f2904])). 0.35/0.60 tff(f2932,plain,( 0.35/0.60 ( ! [X29:$int] : (~$less(sK0,$sum(5,sK0)) | ~$less(X29,5) | ~$less(sK0,$sum(sK0,X29)) | $less(sK1,$sum(sK0,X29)) | $sum(5,sK0) = $sum(sK0,X29)) )), 0.35/0.60 inference(subsumption_resolution,[],[f2887,f128])). 0.35/0.60 tff(f3033,plain,( 0.35/0.60 ( ! [X104:$int] : ($less($sum(5,$sum(sK0,sK0)),X104) | ~$less(sK0,5) | $less(5,$sum(3,sK1)) | 5 = $sum(5,sK0) | ~$less(X104,5) | ~$less(sK0,X104) | $less(sK1,X104)) ) | ~spl2_116), 0.35/0.60 inference(superposition,[],[f159,f2574])). 0.35/0.60 tff(f3034,plain,( 0.35/0.60 ( ! [X104:$int] : ($less($sum(5,$sum(sK0,sK0)),X104) | ~$less(sK0,5) | $less($sum(5,-3),sK1) | $sum(5,-5) = sK0 | ~$less(X104,5) | ~$less(sK0,X104) | $less(sK1,X104)) ) | ~spl2_116), 0.35/0.60 inference(evaluation,[],[f3033])). 0.35/0.60 tff(f3035,plain,( 0.35/0.60 ( ! [X104:$int] : ($less($sum(5,$sum(sK0,sK0)),X104) | ~$less(sK0,5) | $less(2,sK1) | 0 = sK0 | ~$less(X104,5) | ~$less(sK0,X104) | $less(sK1,X104)) ) | ~spl2_116), 0.35/0.60 inference(evaluation,[],[f3034])). 0.35/0.60 tff(f3535,plain,( 0.35/0.60 $less(sK0,$sum(1,sK0)) | $less(sK1,$sum(0,sK0)) | ~$less(0,5)), 0.35/0.60 inference(superposition,[],[f186,f5])). 0.35/0.60 tff(f3543,plain,( 0.35/0.60 $less(sK0,$sum(1,sK0)) | $less(sK1,sK0)), 0.35/0.60 inference(evaluation,[],[f3535])). 0.35/0.60 tff(f3587,plain,( 0.35/0.60 ~$less(sK0,$sum(5,sK0)) | $less($sum(5,sK0),$sum(3,sK1)) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0)))), 0.35/0.60 inference(resolution,[],[f952,f21])). 0.35/0.60 tff(f3588,plain,( 0.35/0.60 ~$less(sK0,$sum(5,sK0)) | $less($sum(5,sK0),$sum(3,sK1)) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~$less(sK0,$sum(5,$sum(-1,sK0)))), 0.35/0.60 inference(resolution,[],[f952,f22])). 0.35/0.60 tff(f3589,plain,( 0.35/0.60 ( ! [X11:$int] : (~$less(sK0,$sum(5,sK0)) | $less($sum(5,sK0),$sum(3,sK1)) | ~$less(sK0,X11) | ~$less(X11,$sum(5,$sum(-1,sK0))) | $less(sK1,X11)) )), 0.35/0.60 inference(resolution,[],[f952,f23])). 0.35/0.60 tff(f3590,plain,( 0.35/0.60 ( ! [X12:$int] : (~$less(sK0,$sum(5,sK0)) | $less($sum(5,sK0),$sum(3,sK1)) | ~$less(sK0,X12) | ~$less(X12,$sum(5,$sum(-1,sK0))) | $less(X12,$sum(3,sK1))) )), 0.35/0.60 inference(resolution,[],[f952,f28])). 0.35/0.60 tff(f3591,plain,( 0.35/0.60 ( ! [X13:$int] : (~$less(sK0,$sum(5,sK0)) | $less($sum(5,sK0),$sum(3,sK1)) | $less(sK1,X13) | ~$less(sK0,X13) | $less($sum(5,$sum(-1,sK0)),$sum(X13,1))) )), 0.35/0.60 inference(resolution,[],[f952,f34])). 0.35/0.60 tff(f3592,plain,( 0.35/0.60 ( ! [X14:$int,X15:$int] : (~$less(sK0,$sum(5,sK0)) | $less($sum(5,sK0),$sum(3,sK1)) | ~$less(X14,X15) | $less(sK1,X14) | ~$less(X15,$sum(5,$sum(-1,sK0))) | ~$less(sK0,X14)) )), 0.35/0.60 inference(resolution,[],[f952,f53])). 0.35/0.60 tff(f3593,plain,( 0.35/0.60 ( ! [X16:$int] : (~$less(sK0,$sum(5,sK0)) | $less($sum(5,sK0),$sum(3,sK1)) | $less(X16,$sum(3,sK1)) | ~$less(sK0,X16) | $less($sum(5,$sum(-1,sK0)),$sum(X16,1))) )), 0.35/0.60 inference(resolution,[],[f952,f59])). 0.35/0.60 tff(f3595,plain,( 0.35/0.60 ( ! [X19:$int,X18:$int] : (~$less(sK0,$sum(5,sK0)) | $less($sum(5,sK0),$sum(3,sK1)) | ~$less(X18,X19) | $less(X18,$sum(3,sK1)) | ~$less(X19,$sum(5,$sum(-1,sK0))) | ~$less(sK0,X18)) )), 0.35/0.60 inference(resolution,[],[f952,f141])). 0.35/0.60 tff(f3597,plain,( 0.35/0.60 ~$less(sK0,$sum(1,$sum(5,sK0))) | $less($sum(1,$sum(5,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0))), 0.35/0.60 inference(resolution,[],[f952,f160])). 0.35/0.60 tff(f3598,plain,( 0.35/0.60 ~$less(sK0,$sum(1,$sum(5,sK0))) | $less($sum(1,$sum(5,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0))), 0.35/0.60 inference(resolution,[],[f952,f140])). 0.35/0.60 tff(f3599,plain,( 0.35/0.60 ( ! [X21:$int] : (~$less(sK0,$sum(sK0,X21)) | $less($sum(sK0,X21),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~$less(X21,5)) )), 0.35/0.60 inference(resolution,[],[f952,f195])). 0.35/0.60 tff(f3600,plain,( 0.35/0.60 ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1))), 0.35/0.60 inference(resolution,[],[f952,f8])). 0.35/0.60 tff(f3640,plain,( 0.35/0.60 ~$less(0,$sum(5,0)) | $less($sum(5,sK0),$sum(3,sK1)) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3587,f390])). 0.35/0.60 tff(f3641,plain,( 0.35/0.60 $less($sum(5,sK0),$sum(3,sK1)) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3640])). 0.35/0.60 tff(f3642,plain,( 0.35/0.60 $less($sum(5,sK0),$sum(3,0)) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(forward_demodulation,[],[f3641,f2731])). 0.35/0.60 tff(f3643,plain,( 0.35/0.60 $less(sK0,$sum(3,-5)) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3642])). 0.35/0.60 tff(f3644,plain,( 0.35/0.60 $less(sK0,-2) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3643])). 0.35/0.60 tff(f3645,plain,( 0.35/0.60 $less(0,-2) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(forward_demodulation,[],[f3644,f390])). 0.35/0.60 tff(f3646,plain,( 0.35/0.60 $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3645])). 0.35/0.60 tff(f3647,plain,( 0.35/0.60 $less($sum(5,$sum(-1,sK0)),$sum(3,0)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(forward_demodulation,[],[f3646,f2731])). 0.35/0.60 tff(f3648,plain,( 0.35/0.60 $less(sK0,$sum($sum(3,-5),1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3647])). 0.35/0.60 tff(f3649,plain,( 0.35/0.60 $less(sK0,$sum(-2,1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3648])). 0.35/0.60 tff(f3650,plain,( 0.35/0.60 $less(sK0,-1) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3649])). 0.35/0.60 tff(f3651,plain,( 0.35/0.60 ~$less(sK0,$sum(5,$sum(-1,sK0))) | (~spl2_15 | ~spl2_32 | ~spl2_126)), 0.35/0.60 inference(subsumption_resolution,[],[f3650,f112])). 0.35/0.60 tff(f3652,plain,( 0.35/0.60 ~$less(0,$sum(5,$sum(-1,0))) | (~spl2_15 | ~spl2_32 | ~spl2_126)), 0.35/0.60 inference(forward_demodulation,[],[f3651,f390])). 0.35/0.60 tff(f3653,plain,( 0.35/0.60 ~$less(0,$sum(5,-1)) | (~spl2_15 | ~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3652])). 0.35/0.60 tff(f3654,plain,( 0.35/0.60 $false | (~spl2_15 | ~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3653])). 0.35/0.60 tff(f3655,plain,( 0.35/0.60 spl2_15 | ~spl2_32 | ~spl2_126), 0.35/0.60 inference(avatar_contradiction_clause,[],[f3654])). 0.35/0.60 tff(f3656,plain,( 0.35/0.60 ~$less(0,$sum(5,0)) | $less($sum(5,sK0),$sum(3,sK1)) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3588,f390])). 0.35/0.60 tff(f3657,plain,( 0.35/0.60 $less($sum(5,sK0),$sum(3,sK1)) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3656])). 0.35/0.60 tff(f3667,plain,( 0.35/0.60 ( ! [X11:$int] : (~$less(0,$sum(5,0)) | $less($sum(5,sK0),$sum(3,sK1)) | ~$less(sK0,X11) | ~$less(X11,$sum(5,$sum(-1,sK0))) | $less(sK1,X11)) ) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3589,f390])). 0.35/0.60 tff(f3668,plain,( 0.35/0.60 ( ! [X11:$int] : ($less($sum(5,sK0),$sum(3,sK1)) | ~$less(sK0,X11) | ~$less(X11,$sum(5,$sum(-1,sK0))) | $less(sK1,X11)) ) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3667])). 0.35/0.60 tff(f3679,plain,( 0.35/0.60 ( ! [X12:$int] : (~$less(0,$sum(5,0)) | $less($sum(5,sK0),$sum(3,sK1)) | ~$less(sK0,X12) | ~$less(X12,$sum(5,$sum(-1,sK0))) | $less(X12,$sum(3,sK1))) ) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3590,f390])). 0.35/0.60 tff(f3680,plain,( 0.35/0.60 ( ! [X12:$int] : ($less($sum(5,sK0),$sum(3,sK1)) | ~$less(sK0,X12) | ~$less(X12,$sum(5,$sum(-1,sK0))) | $less(X12,$sum(3,sK1))) ) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3679])). 0.35/0.60 tff(f3692,plain,( 0.35/0.60 ( ! [X13:$int] : (~$less(0,$sum(5,0)) | $less($sum(5,sK0),$sum(3,sK1)) | $less(sK1,X13) | ~$less(sK0,X13) | $less($sum(5,$sum(-1,sK0)),$sum(X13,1))) ) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3591,f390])). 0.35/0.60 tff(f3693,plain,( 0.35/0.60 ( ! [X13:$int] : ($less($sum(5,sK0),$sum(3,sK1)) | $less(sK1,X13) | ~$less(sK0,X13) | $less($sum(5,$sum(-1,sK0)),$sum(X13,1))) ) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3692])). 0.35/0.60 tff(f3701,plain,( 0.35/0.60 ( ! [X14:$int,X15:$int] : (~$less(0,$sum(5,0)) | $less($sum(5,sK0),$sum(3,sK1)) | ~$less(X14,X15) | $less(sK1,X14) | ~$less(X15,$sum(5,$sum(-1,sK0))) | ~$less(sK0,X14)) ) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3592,f390])). 0.35/0.60 tff(f3702,plain,( 0.35/0.60 ( ! [X14:$int,X15:$int] : ($less($sum(5,sK0),$sum(3,sK1)) | ~$less(X14,X15) | $less(sK1,X14) | ~$less(X15,$sum(5,$sum(-1,sK0))) | ~$less(sK0,X14)) ) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3701])). 0.35/0.60 tff(f3713,plain,( 0.35/0.60 ( ! [X16:$int] : (~$less(0,$sum(5,0)) | $less($sum(5,sK0),$sum(3,sK1)) | $less(X16,$sum(3,sK1)) | ~$less(sK0,X16) | $less($sum(5,$sum(-1,sK0)),$sum(X16,1))) ) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3593,f390])). 0.35/0.60 tff(f3714,plain,( 0.35/0.60 ( ! [X16:$int] : ($less($sum(5,sK0),$sum(3,sK1)) | $less(X16,$sum(3,sK1)) | ~$less(sK0,X16) | $less($sum(5,$sum(-1,sK0)),$sum(X16,1))) ) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3713])). 0.35/0.60 tff(f3727,plain,( 0.35/0.60 ( ! [X19:$int,X18:$int] : (~$less(0,$sum(5,0)) | $less($sum(5,sK0),$sum(3,sK1)) | ~$less(X18,X19) | $less(X18,$sum(3,sK1)) | ~$less(X19,$sum(5,$sum(-1,sK0))) | ~$less(sK0,X18)) ) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3595,f390])). 0.35/0.60 tff(f3728,plain,( 0.35/0.60 ( ! [X19:$int,X18:$int] : ($less($sum(5,sK0),$sum(3,sK1)) | ~$less(X18,X19) | $less(X18,$sum(3,sK1)) | ~$less(X19,$sum(5,$sum(-1,sK0))) | ~$less(sK0,X18)) ) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3727])). 0.35/0.60 tff(f3740,plain,( 0.35/0.60 ~$less(0,$sum(1,$sum(5,0))) | $less($sum(1,$sum(5,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3597,f390])). 0.35/0.60 tff(f3741,plain,( 0.35/0.60 ~$less(0,$sum(1,5)) | $less($sum(1,$sum(5,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3740])). 0.35/0.60 tff(f3742,plain,( 0.35/0.60 $less($sum(1,$sum(5,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3741])). 0.35/0.60 tff(f3743,plain,( 0.35/0.60 $less($sum(1,$sum(5,sK0)),$sum(3,0)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(forward_demodulation,[],[f3742,f2731])). 0.35/0.60 tff(f3744,plain,( 0.35/0.60 $less(sK0,$sum($sum(3,-1),-5)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3743])). 0.35/0.60 tff(f3745,plain,( 0.35/0.60 $less(sK0,$sum(2,-5)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3744])). 0.35/0.60 tff(f3746,plain,( 0.35/0.60 $less(sK0,-3) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3745])). 0.35/0.60 tff(f3747,plain,( 0.35/0.60 $less(0,-3) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(forward_demodulation,[],[f3746,f390])). 0.35/0.60 tff(f3748,plain,( 0.35/0.60 ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3747])). 0.35/0.60 tff(f3749,plain,( 0.35/0.60 ~$less(0,$sum(5,$sum(-1,0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(forward_demodulation,[],[f3748,f390])). 0.35/0.60 tff(f3750,plain,( 0.35/0.60 ~$less(0,$sum(5,-1)) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3749])). 0.35/0.60 tff(f3751,plain,( 0.35/0.60 $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3750])). 0.35/0.60 tff(f3752,plain,( 0.35/0.60 $less($sum(5,$sum(-1,sK0)),$sum(3,0)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(forward_demodulation,[],[f3751,f2731])). 0.35/0.60 tff(f3753,plain,( 0.35/0.60 $less(sK0,$sum($sum(3,-5),1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3752])). 0.35/0.60 tff(f3754,plain,( 0.35/0.60 $less(sK0,$sum(-2,1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3753])). 0.35/0.60 tff(f3755,plain,( 0.35/0.60 $less(sK0,-1) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3754])). 0.35/0.60 tff(f3756,plain,( 0.35/0.60 $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | (~spl2_15 | ~spl2_32 | ~spl2_126)), 0.35/0.60 inference(subsumption_resolution,[],[f3755,f112])). 0.35/0.60 tff(f3757,plain,( 0.35/0.60 $sum(5,0) = $sum(5,$sum(-1,0)) | (~spl2_15 | ~spl2_32 | ~spl2_126)), 0.35/0.60 inference(forward_demodulation,[],[f3756,f390])). 0.35/0.60 tff(f3758,plain,( 0.35/0.60 5 = $sum(5,-1) | (~spl2_15 | ~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3757])). 0.35/0.60 tff(f3759,plain,( 0.35/0.60 $false | (~spl2_15 | ~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3758])). 0.35/0.60 tff(f3760,plain,( 0.35/0.60 spl2_15 | ~spl2_32 | ~spl2_126), 0.35/0.60 inference(avatar_contradiction_clause,[],[f3759])). 0.35/0.60 tff(f3761,plain,( 0.35/0.60 ~$less(0,$sum(1,$sum(5,0))) | $less($sum(1,$sum(5,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3598,f390])). 0.35/0.60 tff(f3762,plain,( 0.35/0.60 ~$less(0,$sum(1,5)) | $less($sum(1,$sum(5,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3761])). 0.35/0.60 tff(f3763,plain,( 0.35/0.60 $less($sum(1,$sum(5,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3762])). 0.35/0.60 tff(f3777,plain,( 0.35/0.60 ( ! [X21:$int] : (~$less(0,$sum(0,X21)) | $less($sum(sK0,X21),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~$less(X21,5)) ) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3599,f390])). 0.35/0.60 tff(f3778,plain,( 0.35/0.60 ( ! [X21:$int] : (~$less(0,X21) | $less($sum(sK0,X21),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~$less(X21,5)) ) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3777])). 0.35/0.60 tff(f3783,plain,( 0.35/0.60 ~$less(0,$sum(5,$sum(-1,0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3600,f390])). 0.35/0.60 tff(f3784,plain,( 0.35/0.60 ~$less(0,$sum(5,-1)) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3783])). 0.35/0.60 tff(f3785,plain,( 0.35/0.60 $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3784])). 0.35/0.60 tff(f3786,plain,( 0.35/0.60 $less($sum(5,$sum(-1,sK0)),$sum(3,0)) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(forward_demodulation,[],[f3785,f2731])). 0.35/0.60 tff(f3787,plain,( 0.35/0.60 $less(sK0,$sum($sum(3,-5),1)) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3786])). 0.35/0.60 tff(f3788,plain,( 0.35/0.60 $less(sK0,$sum(-2,1)) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3787])). 0.35/0.60 tff(f3789,plain,( 0.35/0.60 $less(sK0,-1) | (~spl2_32 | ~spl2_126)), 0.35/0.60 inference(evaluation,[],[f3788])). 0.35/0.60 tff(f3790,plain,( 0.35/0.60 $false | (~spl2_15 | ~spl2_32 | ~spl2_126)), 0.35/0.60 inference(subsumption_resolution,[],[f3789,f112])). 0.35/0.60 tff(f3791,plain,( 0.35/0.60 spl2_15 | ~spl2_32 | ~spl2_126), 0.35/0.60 inference(avatar_contradiction_clause,[],[f3790])). 0.35/0.60 tff(f3799,plain,( 0.35/0.60 $less($sum(5,$sum(-1,0)),$sum(3,sK1)) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3785,f390])). 0.35/0.60 tff(f3800,plain,( 0.35/0.60 $less($sum(5,-1),$sum(3,sK1)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3799])). 0.35/0.60 tff(f3801,plain,( 0.35/0.60 $less($sum(4,-3),sK1) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3800])). 0.35/0.60 tff(f3802,plain,( 0.35/0.60 $less(1,sK1) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3801])). 0.35/0.60 tff(f3803,plain,( 0.35/0.60 $false | (~spl2_32 | ~spl2_45)), 0.35/0.60 inference(subsumption_resolution,[],[f3802,f532])). 0.35/0.60 tff(f3804,plain,( 0.35/0.60 ~spl2_32 | spl2_45), 0.35/0.60 inference(avatar_contradiction_clause,[],[f3803])). 0.35/0.60 tff(f3805,plain,( 0.35/0.60 ( ! [X21:$int] : ($less($sum(0,X21),$sum(3,sK1)) | ~$less(0,X21) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~$less(X21,5)) ) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3778,f390])). 0.35/0.60 tff(f3806,plain,( 0.35/0.60 ( ! [X21:$int] : ($less(X21,$sum(3,sK1)) | ~$less(0,X21) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~$less(X21,5)) ) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3805])). 0.35/0.60 tff(f3807,plain,( 0.35/0.60 ( ! [X21:$int] : (~$less(0,$sum(5,$sum(-1,0))) | $less(X21,$sum(3,sK1)) | ~$less(0,X21) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~$less(X21,5)) ) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3806,f390])). 0.35/0.60 tff(f3808,plain,( 0.35/0.60 ( ! [X21:$int] : (~$less(0,$sum(5,-1)) | $less(X21,$sum(3,sK1)) | ~$less(0,X21) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~$less(X21,5)) ) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3807])). 0.35/0.60 tff(f3809,plain,( 0.35/0.60 ( ! [X21:$int] : ($less(X21,$sum(3,sK1)) | ~$less(0,X21) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~$less(X21,5)) ) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3808])). 0.35/0.60 tff(f3810,plain,( 0.35/0.60 ( ! [X21:$int] : ($less(sK1,$sum(5,$sum(-1,0))) | $less(X21,$sum(3,sK1)) | ~$less(0,X21) | ~$less(X21,5)) ) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3809,f390])). 0.35/0.60 tff(f3811,plain,( 0.35/0.60 ( ! [X21:$int] : ($less(sK1,$sum(5,-1)) | $less(X21,$sum(3,sK1)) | ~$less(0,X21) | ~$less(X21,5)) ) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3810])). 0.35/0.60 tff(f3812,plain,( 0.35/0.60 ( ! [X21:$int] : ($less(sK1,4) | $less(X21,$sum(3,sK1)) | ~$less(0,X21) | ~$less(X21,5)) ) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3811])). 0.35/0.60 tff(f3814,plain,( 0.35/0.60 spl2_128 <=> ! [X21 : $int] : ($less(X21,$sum(3,sK1)) | ~$less(X21,5) | ~$less(0,X21))), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_128])])). 0.35/0.60 tff(f3817,plain,( 0.35/0.60 spl2_130 <=> $less(sK1,4)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_130])])). 0.35/0.60 tff(f3819,plain,( 0.35/0.60 spl2_128 | spl2_130 | ~spl2_32), 0.35/0.60 inference(avatar_split_clause,[],[f3812,f389,f3817,f3814])). 0.35/0.60 tff(f3820,plain,( 0.35/0.60 $less($sum(1,$sum(5,0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3763,f390])). 0.35/0.60 tff(f3821,plain,( 0.35/0.60 $less($sum(1,5),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3820])). 0.35/0.60 tff(f3822,plain,( 0.35/0.60 $less($sum(6,-3),sK1) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3821])). 0.35/0.60 tff(f3823,plain,( 0.35/0.60 $less(3,sK1) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3822])). 0.35/0.60 tff(f3824,plain,( 0.35/0.60 ~$less(0,$sum(5,$sum(-1,0))) | $less(3,sK1) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3823,f390])). 0.35/0.60 tff(f3825,plain,( 0.35/0.60 ~$less(0,$sum(5,-1)) | $less(3,sK1) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3824])). 0.35/0.60 tff(f3826,plain,( 0.35/0.60 $less(3,sK1) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3825])). 0.35/0.60 tff(f3827,plain,( 0.35/0.60 $less(sK1,$sum(5,$sum(-1,0))) | $less(3,sK1) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3826,f390])). 0.35/0.60 tff(f3828,plain,( 0.35/0.60 $less(sK1,$sum(5,-1)) | $less(3,sK1) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3827])). 0.35/0.60 tff(f3829,plain,( 0.35/0.60 $less(sK1,4) | $less(3,sK1) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3828])). 0.35/0.60 tff(f3830,plain,( 0.35/0.60 $sum(5,0) = $sum(5,$sum(-1,0)) | $less(sK1,4) | $less(3,sK1) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3829,f390])). 0.35/0.60 tff(f3831,plain,( 0.35/0.60 5 = $sum(5,-1) | $less(sK1,4) | $less(3,sK1) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3830])). 0.35/0.60 tff(f3832,plain,( 0.35/0.60 $less(sK1,4) | $less(3,sK1) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3831])). 0.35/0.60 tff(f3834,plain,( 0.35/0.60 spl2_132 <=> $less(3,sK1)), 0.35/0.60 introduced(avatar_definition,[new_symbols(naming,[spl2_132])])). 0.35/0.60 tff(f3836,plain,( 0.35/0.60 spl2_132 | spl2_130 | ~spl2_32), 0.35/0.60 inference(avatar_split_clause,[],[f3832,f389,f3817,f3834])). 0.35/0.60 tff(f3837,plain,( 0.35/0.60 $less($sum(1,$sum(5,0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3742,f390])). 0.35/0.60 tff(f3838,plain,( 0.35/0.60 $less($sum(1,5),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3837])). 0.35/0.60 tff(f3839,plain,( 0.35/0.60 $less($sum(6,-3),sK1) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3838])). 0.35/0.60 tff(f3840,plain,( 0.35/0.60 $less(3,sK1) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3839])). 0.35/0.60 tff(f3841,plain,( 0.35/0.60 ~$less(0,$sum(5,$sum(-1,0))) | $less(3,sK1) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3840,f390])). 0.35/0.60 tff(f3842,plain,( 0.35/0.60 ~$less(0,$sum(5,-1)) | $less(3,sK1) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3841])). 0.35/0.60 tff(f3843,plain,( 0.35/0.60 $less(3,sK1) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3842])). 0.35/0.60 tff(f3844,plain,( 0.35/0.60 $less($sum(5,$sum(-1,0)),$sum(3,sK1)) | $less(3,sK1) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(forward_demodulation,[],[f3843,f390])). 0.35/0.60 tff(f3845,plain,( 0.35/0.60 $less($sum(5,-1),$sum(3,sK1)) | $less(3,sK1) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3844])). 0.35/0.60 tff(f3846,plain,( 0.35/0.60 $less($sum(4,-3),sK1) | $less(3,sK1) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3845])). 0.35/0.60 tff(f3847,plain,( 0.35/0.60 $less(1,sK1) | $less(3,sK1) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.60 inference(evaluation,[],[f3846])). 0.35/0.60 tff(f3848,plain,( 0.35/0.60 $less(3,sK1) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | (~spl2_32 | ~spl2_45)), 0.35/0.60 inference(subsumption_resolution,[],[f3847,f532])). 0.35/0.60 tff(f3849,plain,( 0.35/0.60 $sum(5,0) = $sum(5,$sum(-1,0)) | $less(3,sK1) | (~spl2_32 | ~spl2_45)), 0.35/0.60 inference(forward_demodulation,[],[f3848,f390])). 0.35/0.60 tff(f3850,plain,( 0.35/0.60 5 = $sum(5,-1) | $less(3,sK1) | (~spl2_32 | ~spl2_45)), 0.35/0.60 inference(evaluation,[],[f3849])). 0.35/0.60 tff(f3851,plain,( 0.35/0.60 $less(3,sK1) | (~spl2_32 | ~spl2_45)), 0.35/0.60 inference(evaluation,[],[f3850])). 0.35/0.61 tff(f3852,plain,( 0.35/0.61 spl2_132 | ~spl2_32 | spl2_45), 0.35/0.61 inference(avatar_split_clause,[],[f3851,f531,f389,f3834])). 0.35/0.61 tff(f3853,plain,( 0.35/0.61 ( ! [X19:$int,X18:$int] : ($less($sum(5,0),$sum(3,sK1)) | ~$less(X18,X19) | $less(X18,$sum(3,sK1)) | ~$less(X19,$sum(5,$sum(-1,sK0))) | ~$less(sK0,X18)) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3728,f390])). 0.35/0.61 tff(f3854,plain,( 0.35/0.61 ( ! [X19:$int,X18:$int] : ($less($sum(5,-3),sK1) | ~$less(X18,X19) | $less(X18,$sum(3,sK1)) | ~$less(X19,$sum(5,$sum(-1,sK0))) | ~$less(sK0,X18)) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3853])). 0.35/0.61 tff(f3855,plain,( 0.35/0.61 ( ! [X19:$int,X18:$int] : ($less(2,sK1) | ~$less(X18,X19) | $less(X18,$sum(3,sK1)) | ~$less(X19,$sum(5,$sum(-1,sK0))) | ~$less(sK0,X18)) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3854])). 0.35/0.61 tff(f3856,plain,( 0.35/0.61 ( ! [X19:$int,X18:$int] : (~$less(X19,$sum(5,$sum(-1,0))) | $less(2,sK1) | ~$less(X18,X19) | $less(X18,$sum(3,sK1)) | ~$less(sK0,X18)) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3855,f390])). 0.35/0.61 tff(f3857,plain,( 0.35/0.61 ( ! [X19:$int,X18:$int] : (~$less(X19,$sum(5,-1)) | $less(2,sK1) | ~$less(X18,X19) | $less(X18,$sum(3,sK1)) | ~$less(sK0,X18)) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3856])). 0.35/0.61 tff(f3858,plain,( 0.35/0.61 ( ! [X19:$int,X18:$int] : (~$less(X19,4) | $less(2,sK1) | ~$less(X18,X19) | $less(X18,$sum(3,sK1)) | ~$less(sK0,X18)) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3857])). 0.35/0.61 tff(f3859,plain,( 0.35/0.61 ( ! [X19:$int,X18:$int] : (~$less(0,X18) | ~$less(X19,4) | $less(2,sK1) | ~$less(X18,X19) | $less(X18,$sum(3,sK1))) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3858,f390])). 0.35/0.61 tff(f3861,plain,( 0.35/0.61 spl2_134 <=> ! [X18 : $int,X19 : $int] : (~$less(0,X18) | $less(X18,$sum(3,sK1)) | ~$less(X18,X19) | ~$less(X19,4))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_134])])). 0.35/0.61 tff(f3863,plain,( 0.35/0.61 spl2_62 | spl2_134 | ~spl2_32), 0.35/0.61 inference(avatar_split_clause,[],[f3859,f389,f3861,f2276])). 0.35/0.61 tff(f3864,plain,( 0.35/0.61 ( ! [X16:$int] : ($less($sum(5,0),$sum(3,sK1)) | $less(X16,$sum(3,sK1)) | ~$less(sK0,X16) | $less($sum(5,$sum(-1,sK0)),$sum(X16,1))) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3714,f390])). 0.35/0.61 tff(f3865,plain,( 0.35/0.61 ( ! [X16:$int] : ($less($sum(5,-3),sK1) | $less(X16,$sum(3,sK1)) | ~$less(sK0,X16) | $less($sum(5,$sum(-1,sK0)),$sum(X16,1))) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3864])). 0.35/0.61 tff(f3866,plain,( 0.35/0.61 ( ! [X16:$int] : ($less(2,sK1) | $less(X16,$sum(3,sK1)) | ~$less(sK0,X16) | $less($sum(5,$sum(-1,sK0)),$sum(X16,1))) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3865])). 0.35/0.61 tff(f3867,plain,( 0.35/0.61 ( ! [X16:$int] : (~$less(0,X16) | $less(2,sK1) | $less(X16,$sum(3,sK1)) | $less($sum(5,$sum(-1,sK0)),$sum(X16,1))) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3866,f390])). 0.35/0.61 tff(f3868,plain,( 0.35/0.61 ( ! [X16:$int] : ($less($sum(5,$sum(-1,0)),$sum(X16,1)) | ~$less(0,X16) | $less(2,sK1) | $less(X16,$sum(3,sK1))) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3867,f390])). 0.35/0.61 tff(f3869,plain,( 0.35/0.61 ( ! [X16:$int] : ($less($sum(5,-1),$sum(X16,1)) | ~$less(0,X16) | $less(2,sK1) | $less(X16,$sum(3,sK1))) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3868])). 0.35/0.61 tff(f3870,plain,( 0.35/0.61 ( ! [X16:$int] : ($less($sum(4,-1),X16) | ~$less(0,X16) | $less(2,sK1) | $less(X16,$sum(3,sK1))) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3869])). 0.35/0.61 tff(f3871,plain,( 0.35/0.61 ( ! [X16:$int] : ($less(3,X16) | ~$less(0,X16) | $less(2,sK1) | $less(X16,$sum(3,sK1))) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3870])). 0.35/0.61 tff(f3873,plain,( 0.35/0.61 spl2_136 <=> ! [X16 : $int] : ($less(3,X16) | $less(X16,$sum(3,sK1)) | ~$less(0,X16))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_136])])). 0.35/0.61 tff(f3875,plain,( 0.35/0.61 spl2_62 | spl2_136 | ~spl2_32), 0.35/0.61 inference(avatar_split_clause,[],[f3871,f389,f3873,f2276])). 0.35/0.61 tff(f3876,plain,( 0.35/0.61 ( ! [X14:$int,X15:$int] : ($less($sum(5,0),$sum(3,sK1)) | ~$less(X14,X15) | $less(sK1,X14) | ~$less(X15,$sum(5,$sum(-1,sK0))) | ~$less(sK0,X14)) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3702,f390])). 0.35/0.61 tff(f3877,plain,( 0.35/0.61 ( ! [X14:$int,X15:$int] : ($less($sum(5,-3),sK1) | ~$less(X14,X15) | $less(sK1,X14) | ~$less(X15,$sum(5,$sum(-1,sK0))) | ~$less(sK0,X14)) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3876])). 0.35/0.61 tff(f3878,plain,( 0.35/0.61 ( ! [X14:$int,X15:$int] : ($less(2,sK1) | ~$less(X14,X15) | $less(sK1,X14) | ~$less(X15,$sum(5,$sum(-1,sK0))) | ~$less(sK0,X14)) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3877])). 0.35/0.61 tff(f3879,plain,( 0.35/0.61 ( ! [X14:$int,X15:$int] : (~$less(X15,$sum(5,$sum(-1,0))) | $less(2,sK1) | ~$less(X14,X15) | $less(sK1,X14) | ~$less(sK0,X14)) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3878,f390])). 0.35/0.61 tff(f3880,plain,( 0.35/0.61 ( ! [X14:$int,X15:$int] : (~$less(X15,$sum(5,-1)) | $less(2,sK1) | ~$less(X14,X15) | $less(sK1,X14) | ~$less(sK0,X14)) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3879])). 0.35/0.61 tff(f3881,plain,( 0.35/0.61 ( ! [X14:$int,X15:$int] : (~$less(X15,4) | $less(2,sK1) | ~$less(X14,X15) | $less(sK1,X14) | ~$less(sK0,X14)) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3880])). 0.35/0.61 tff(f3882,plain,( 0.35/0.61 ( ! [X14:$int,X15:$int] : (~$less(0,X14) | ~$less(X15,4) | $less(2,sK1) | ~$less(X14,X15) | $less(sK1,X14)) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3881,f390])). 0.35/0.61 tff(f3884,plain,( 0.35/0.61 spl2_138 <=> ! [X15 : $int,X14 : $int] : (~$less(0,X14) | $less(sK1,X14) | ~$less(X14,X15) | ~$less(X15,4))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_138])])). 0.35/0.61 tff(f3886,plain,( 0.35/0.61 spl2_62 | spl2_138 | ~spl2_32), 0.35/0.61 inference(avatar_split_clause,[],[f3882,f389,f3884,f2276])). 0.35/0.61 tff(f3887,plain,( 0.35/0.61 ( ! [X13:$int] : ($less($sum(5,0),$sum(3,sK1)) | $less(sK1,X13) | ~$less(sK0,X13) | $less($sum(5,$sum(-1,sK0)),$sum(X13,1))) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3693,f390])). 0.35/0.61 tff(f3888,plain,( 0.35/0.61 ( ! [X13:$int] : ($less($sum(5,-3),sK1) | $less(sK1,X13) | ~$less(sK0,X13) | $less($sum(5,$sum(-1,sK0)),$sum(X13,1))) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3887])). 0.35/0.61 tff(f3889,plain,( 0.35/0.61 ( ! [X13:$int] : ($less(2,sK1) | $less(sK1,X13) | ~$less(sK0,X13) | $less($sum(5,$sum(-1,sK0)),$sum(X13,1))) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3888])). 0.35/0.61 tff(f3890,plain,( 0.35/0.61 ( ! [X13:$int] : (~$less(0,X13) | $less(2,sK1) | $less(sK1,X13) | $less($sum(5,$sum(-1,sK0)),$sum(X13,1))) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3889,f390])). 0.35/0.61 tff(f3891,plain,( 0.35/0.61 ( ! [X13:$int] : ($less($sum(5,$sum(-1,0)),$sum(X13,1)) | ~$less(0,X13) | $less(2,sK1) | $less(sK1,X13)) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3890,f390])). 0.35/0.61 tff(f3892,plain,( 0.35/0.61 ( ! [X13:$int] : ($less($sum(5,-1),$sum(X13,1)) | ~$less(0,X13) | $less(2,sK1) | $less(sK1,X13)) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3891])). 0.35/0.61 tff(f3893,plain,( 0.35/0.61 ( ! [X13:$int] : ($less($sum(4,-1),X13) | ~$less(0,X13) | $less(2,sK1) | $less(sK1,X13)) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3892])). 0.35/0.61 tff(f3894,plain,( 0.35/0.61 ( ! [X13:$int] : ($less(3,X13) | ~$less(0,X13) | $less(2,sK1) | $less(sK1,X13)) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3893])). 0.35/0.61 tff(f3896,plain,( 0.35/0.61 spl2_140 <=> ! [X13 : $int] : ($less(3,X13) | $less(sK1,X13) | ~$less(0,X13))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_140])])). 0.35/0.61 tff(f3898,plain,( 0.35/0.61 spl2_62 | spl2_140 | ~spl2_32), 0.35/0.61 inference(avatar_split_clause,[],[f3894,f389,f3896,f2276])). 0.35/0.61 tff(f3899,plain,( 0.35/0.61 ( ! [X12:$int] : ($less($sum(5,0),$sum(3,sK1)) | ~$less(sK0,X12) | ~$less(X12,$sum(5,$sum(-1,sK0))) | $less(X12,$sum(3,sK1))) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3680,f390])). 0.35/0.61 tff(f3900,plain,( 0.35/0.61 ( ! [X12:$int] : ($less($sum(5,-3),sK1) | ~$less(sK0,X12) | ~$less(X12,$sum(5,$sum(-1,sK0))) | $less(X12,$sum(3,sK1))) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3899])). 0.35/0.61 tff(f3901,plain,( 0.35/0.61 ( ! [X12:$int] : ($less(2,sK1) | ~$less(sK0,X12) | ~$less(X12,$sum(5,$sum(-1,sK0))) | $less(X12,$sum(3,sK1))) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3900])). 0.35/0.61 tff(f3902,plain,( 0.35/0.61 ( ! [X12:$int] : (~$less(0,X12) | $less(2,sK1) | ~$less(X12,$sum(5,$sum(-1,sK0))) | $less(X12,$sum(3,sK1))) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3901,f390])). 0.35/0.61 tff(f3903,plain,( 0.35/0.61 ( ! [X12:$int] : (~$less(X12,$sum(5,$sum(-1,0))) | ~$less(0,X12) | $less(2,sK1) | $less(X12,$sum(3,sK1))) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3902,f390])). 0.35/0.61 tff(f3904,plain,( 0.35/0.61 ( ! [X12:$int] : (~$less(X12,$sum(5,-1)) | ~$less(0,X12) | $less(2,sK1) | $less(X12,$sum(3,sK1))) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3903])). 0.35/0.61 tff(f3905,plain,( 0.35/0.61 ( ! [X12:$int] : (~$less(X12,4) | ~$less(0,X12) | $less(2,sK1) | $less(X12,$sum(3,sK1))) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3904])). 0.35/0.61 tff(f3907,plain,( 0.35/0.61 spl2_142 <=> ! [X12 : $int] : (~$less(X12,4) | $less(X12,$sum(3,sK1)) | ~$less(0,X12))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_142])])). 0.35/0.61 tff(f3909,plain,( 0.35/0.61 spl2_62 | spl2_142 | ~spl2_32), 0.35/0.61 inference(avatar_split_clause,[],[f3905,f389,f3907,f2276])). 0.35/0.61 tff(f3910,plain,( 0.35/0.61 ( ! [X11:$int] : ($less($sum(5,0),$sum(3,sK1)) | ~$less(sK0,X11) | ~$less(X11,$sum(5,$sum(-1,sK0))) | $less(sK1,X11)) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3668,f390])). 0.35/0.61 tff(f3911,plain,( 0.35/0.61 ( ! [X11:$int] : ($less($sum(5,-3),sK1) | ~$less(sK0,X11) | ~$less(X11,$sum(5,$sum(-1,sK0))) | $less(sK1,X11)) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3910])). 0.35/0.61 tff(f3912,plain,( 0.35/0.61 ( ! [X11:$int] : ($less(2,sK1) | ~$less(sK0,X11) | ~$less(X11,$sum(5,$sum(-1,sK0))) | $less(sK1,X11)) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3911])). 0.35/0.61 tff(f3913,plain,( 0.35/0.61 ( ! [X11:$int] : (~$less(0,X11) | $less(2,sK1) | ~$less(X11,$sum(5,$sum(-1,sK0))) | $less(sK1,X11)) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3912,f390])). 0.35/0.61 tff(f3914,plain,( 0.35/0.61 ( ! [X11:$int] : (~$less(X11,$sum(5,$sum(-1,0))) | ~$less(0,X11) | $less(2,sK1) | $less(sK1,X11)) ) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3913,f390])). 0.35/0.61 tff(f3915,plain,( 0.35/0.61 ( ! [X11:$int] : (~$less(X11,$sum(5,-1)) | ~$less(0,X11) | $less(2,sK1) | $less(sK1,X11)) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3914])). 0.35/0.61 tff(f3916,plain,( 0.35/0.61 ( ! [X11:$int] : (~$less(X11,4) | ~$less(0,X11) | $less(2,sK1) | $less(sK1,X11)) ) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3915])). 0.35/0.61 tff(f3918,plain,( 0.35/0.61 spl2_144 <=> ! [X11 : $int] : (~$less(X11,4) | $less(sK1,X11) | ~$less(0,X11))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_144])])). 0.35/0.61 tff(f3920,plain,( 0.35/0.61 spl2_62 | spl2_144 | ~spl2_32), 0.35/0.61 inference(avatar_split_clause,[],[f3916,f389,f3918,f2276])). 0.35/0.61 tff(f3921,plain,( 0.35/0.61 $less($sum(5,0),$sum(3,sK1)) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3657,f390])). 0.35/0.61 tff(f3922,plain,( 0.35/0.61 $less($sum(5,-3),sK1) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3921])). 0.35/0.61 tff(f3923,plain,( 0.35/0.61 $less(2,sK1) | $less(sK1,$sum(5,$sum(-1,sK0))) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3922])). 0.35/0.61 tff(f3924,plain,( 0.35/0.61 $less(sK1,$sum(5,$sum(-1,0))) | $less(2,sK1) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3923,f390])). 0.35/0.61 tff(f3925,plain,( 0.35/0.61 $less(sK1,$sum(5,-1)) | $less(2,sK1) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3924])). 0.35/0.61 tff(f3926,plain,( 0.35/0.61 $less(sK1,4) | $less(2,sK1) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3925])). 0.35/0.61 tff(f3927,plain,( 0.35/0.61 ~$less(0,$sum(5,$sum(-1,0))) | $less(sK1,4) | $less(2,sK1) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3926,f390])). 0.35/0.61 tff(f3928,plain,( 0.35/0.61 ~$less(0,$sum(5,-1)) | $less(sK1,4) | $less(2,sK1) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3927])). 0.35/0.61 tff(f3929,plain,( 0.35/0.61 $less(sK1,4) | $less(2,sK1) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3928])). 0.35/0.61 tff(f3930,plain,( 0.35/0.61 spl2_62 | spl2_130 | ~spl2_32), 0.35/0.61 inference(avatar_split_clause,[],[f3929,f389,f3817,f2276])). 0.35/0.61 tff(f3931,plain,( 0.35/0.61 $less($sum(5,0),$sum(3,sK1)) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3641,f390])). 0.35/0.61 tff(f3932,plain,( 0.35/0.61 $less($sum(5,-3),sK1) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3931])). 0.35/0.61 tff(f3933,plain,( 0.35/0.61 $less(2,sK1) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3932])). 0.35/0.61 tff(f3934,plain,( 0.35/0.61 $less($sum(5,$sum(-1,0)),$sum(3,sK1)) | $less(2,sK1) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f3933,f390])). 0.35/0.61 tff(f3935,plain,( 0.35/0.61 $less($sum(5,-1),$sum(3,sK1)) | $less(2,sK1) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3934])). 0.35/0.61 tff(f3936,plain,( 0.35/0.61 $less($sum(4,-3),sK1) | $less(2,sK1) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3935])). 0.35/0.61 tff(f3937,plain,( 0.35/0.61 $less(1,sK1) | $less(2,sK1) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f3936])). 0.35/0.61 tff(f3938,plain,( 0.35/0.61 $less(2,sK1) | ~$less(sK0,$sum(5,$sum(-1,sK0))) | (~spl2_32 | ~spl2_45)), 0.35/0.61 inference(subsumption_resolution,[],[f3937,f532])). 0.35/0.61 tff(f3939,plain,( 0.35/0.61 ~$less(0,$sum(5,$sum(-1,0))) | $less(2,sK1) | (~spl2_32 | ~spl2_45)), 0.35/0.61 inference(forward_demodulation,[],[f3938,f390])). 0.35/0.61 tff(f3940,plain,( 0.35/0.61 ~$less(0,$sum(5,-1)) | $less(2,sK1) | (~spl2_32 | ~spl2_45)), 0.35/0.61 inference(evaluation,[],[f3939])). 0.35/0.61 tff(f3941,plain,( 0.35/0.61 $less(2,sK1) | (~spl2_32 | ~spl2_45)), 0.35/0.61 inference(evaluation,[],[f3940])). 0.35/0.61 tff(f3942,plain,( 0.35/0.61 spl2_62 | ~spl2_32 | spl2_45), 0.35/0.61 inference(avatar_split_clause,[],[f3941,f531,f389,f2276])). 0.35/0.61 tff(f4162,plain,( 0.35/0.61 spl2_130 | ~spl2_32), 0.35/0.61 inference(avatar_split_clause,[],[f2864,f389,f3817])). 0.35/0.61 tff(f4163,plain,( 0.35/0.61 ~$less(0,$sum(5,$sum(-1,0))) | $less(sK1,6) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f2857,f390])). 0.35/0.61 tff(f4164,plain,( 0.35/0.61 ~$less(0,$sum(5,-1)) | $less(sK1,6) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f4163])). 0.35/0.61 tff(f4165,plain,( 0.35/0.61 $less(sK1,6) | $less(sK1,$sum(5,$sum(-1,sK0))) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f4164])). 0.35/0.61 tff(f4166,plain,( 0.35/0.61 $less(sK1,$sum(5,$sum(-1,0))) | $less(sK1,6) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f4165,f390])). 0.35/0.61 tff(f4167,plain,( 0.35/0.61 $less(sK1,$sum(5,-1)) | $less(sK1,6) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f4166])). 0.35/0.61 tff(f4168,plain,( 0.35/0.61 $less(sK1,4) | $less(sK1,6) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f4167])). 0.35/0.61 tff(f4169,plain,( 0.35/0.61 $sum(5,0) = $sum(5,$sum(-1,0)) | $less(sK1,4) | $less(sK1,6) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f4168,f390])). 0.35/0.61 tff(f4170,plain,( 0.35/0.61 5 = $sum(5,-1) | $less(sK1,4) | $less(sK1,6) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f4169])). 0.35/0.61 tff(f4171,plain,( 0.35/0.61 $less(sK1,4) | $less(sK1,6) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f4170])). 0.35/0.61 tff(f4173,plain,( 0.35/0.61 spl2_146 <=> $less(sK1,6)), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_146])])). 0.35/0.61 tff(f4175,plain,( 0.35/0.61 spl2_146 | spl2_130 | ~spl2_32), 0.35/0.61 inference(avatar_split_clause,[],[f4171,f389,f3817,f4173])). 0.35/0.61 tff(f4176,plain,( 0.35/0.61 ~$less(0,$sum(5,$sum(-1,0))) | $less(sK1,6) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f2850,f390])). 0.35/0.61 tff(f4177,plain,( 0.35/0.61 ~$less(0,$sum(5,-1)) | $less(sK1,6) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f4176])). 0.35/0.61 tff(f4178,plain,( 0.35/0.61 $less(sK1,6) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f4177])). 0.35/0.61 tff(f4179,plain,( 0.35/0.61 $less($sum(5,$sum(-1,0)),$sum(3,sK1)) | $less(sK1,6) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.61 inference(forward_demodulation,[],[f4178,f390])). 0.35/0.61 tff(f4180,plain,( 0.35/0.61 $less($sum(5,-1),$sum(3,sK1)) | $less(sK1,6) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f4179])). 0.35/0.61 tff(f4181,plain,( 0.35/0.61 $less($sum(4,-3),sK1) | $less(sK1,6) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f4180])). 0.35/0.61 tff(f4182,plain,( 0.35/0.61 $less(1,sK1) | $less(sK1,6) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | ~spl2_32), 0.35/0.61 inference(evaluation,[],[f4181])). 0.35/0.61 tff(f4183,plain,( 0.35/0.61 $less(sK1,6) | $sum(5,sK0) = $sum(5,$sum(-1,sK0)) | (~spl2_32 | ~spl2_45)), 0.35/0.61 inference(subsumption_resolution,[],[f4182,f532])). 0.35/0.61 tff(f4184,plain,( 0.35/0.61 $sum(5,0) = $sum(5,$sum(-1,0)) | $less(sK1,6) | (~spl2_32 | ~spl2_45)), 0.35/0.61 inference(forward_demodulation,[],[f4183,f390])). 0.35/0.61 tff(f4185,plain,( 0.35/0.61 5 = $sum(5,-1) | $less(sK1,6) | (~spl2_32 | ~spl2_45)), 0.35/0.61 inference(evaluation,[],[f4184])). 0.35/0.61 tff(f4186,plain,( 0.35/0.61 $less(sK1,6) | (~spl2_32 | ~spl2_45)), 0.35/0.61 inference(evaluation,[],[f4185])). 0.35/0.61 tff(f4187,plain,( 0.35/0.61 spl2_146 | ~spl2_32 | spl2_45), 0.35/0.61 inference(avatar_split_clause,[],[f4186,f531,f389,f4173])). 0.35/0.61 tff(f4206,plain,( 0.35/0.61 spl2_126 | spl2_6 | spl2_31), 0.35/0.61 inference(avatar_split_clause,[],[f2774,f307,f98,f2730])). 0.35/0.61 tff(f4207,plain,( 0.35/0.61 spl2_126 | spl2_6 | spl2_31), 0.35/0.61 inference(avatar_split_clause,[],[f2773,f307,f98,f2730])). 0.35/0.61 tff(f4218,plain,( 0.35/0.61 ~$less(sK0,1) | ~spl2_26), 0.35/0.61 inference(evaluation,[],[f1717])). 0.35/0.61 tff(f4220,plain,( 0.35/0.61 spl2_149 <=> ~$less($sum(1,sK0),$sum(1,sK1))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_149])])). 0.35/0.61 tff(f4222,plain,( 0.35/0.61 ~spl2_149 | ~spl2_20), 0.35/0.61 inference(avatar_split_clause,[],[f2755,f183,f4220])). 0.35/0.61 tff(f4224,plain,( 0.35/0.61 spl2_150 <=> $less(sK1,sK0)), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_150])])). 0.35/0.61 tff(f4227,plain,( 0.35/0.61 spl2_152 <=> $less(sK0,$sum(1,sK0))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_152])])). 0.35/0.61 tff(f4229,plain,( 0.35/0.61 spl2_150 | spl2_152), 0.35/0.61 inference(avatar_split_clause,[],[f3543,f4227,f4224])). 0.35/0.61 tff(f4231,plain,( 0.35/0.61 spl2_154 <=> $less($sum(5,$sum(-1,sK0)),$sum(3,sK1))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_154])])). 0.35/0.61 tff(f4234,plain,( 0.35/0.61 spl2_157 <=> ~$less(sK0,$sum(5,$sum(-1,sK0)))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_157])])). 0.35/0.61 tff(f4236,plain,( 0.35/0.61 spl2_154 | ~spl2_157), 0.35/0.61 inference(avatar_split_clause,[],[f3600,f4234,f4231])). 0.35/0.61 tff(f4238,plain,( 0.35/0.61 spl2_158 <=> $less(sK1,$sum(5,$sum(-1,sK0)))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_158])])). 0.35/0.61 tff(f4241,plain,( 0.35/0.61 spl2_160 <=> ! [X21 : $int] : (~$less(sK0,$sum(sK0,X21)) | ~$less(X21,5) | $less($sum(sK0,X21),$sum(3,sK1)))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_160])])). 0.35/0.61 tff(f4243,plain,( 0.35/0.61 spl2_158 | ~spl2_157 | spl2_160), 0.35/0.61 inference(avatar_split_clause,[],[f3599,f4241,f4234,f4238])). 0.35/0.61 tff(f4245,plain,( 0.35/0.61 spl2_162 <=> $sum(5,sK0) = $sum(5,$sum(-1,sK0))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_162])])). 0.35/0.61 tff(f4248,plain,( 0.35/0.61 spl2_164 <=> $less($sum(1,$sum(5,sK0)),$sum(3,sK1))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_164])])). 0.35/0.61 tff(f4251,plain,( 0.35/0.61 spl2_167 <=> ~$less(sK0,$sum(1,$sum(5,sK0)))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_167])])). 0.35/0.61 tff(f4253,plain,( 0.35/0.61 spl2_162 | spl2_158 | ~spl2_157 | spl2_164 | ~spl2_167), 0.35/0.61 inference(avatar_split_clause,[],[f3598,f4251,f4248,f4234,f4238,f4245])). 0.35/0.61 tff(f4254,plain,( 0.35/0.61 ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1))), 0.35/0.61 inference(global_subsumption,[],[f3600])). 0.35/0.61 tff(f4255,plain,( 0.35/0.61 spl2_154 | ~spl2_157), 0.35/0.61 inference(avatar_split_clause,[],[f4254,f4234,f4231])). 0.35/0.61 tff(f4257,plain,( 0.35/0.61 spl2_168 <=> ! [X18 : $int,X19 : $int] : (~$less(X18,X19) | ~$less(sK0,X18) | ~$less(X19,$sum(5,$sum(-1,sK0))) | $less(X18,$sum(3,sK1)))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_168])])). 0.35/0.61 tff(f4260,plain,( 0.35/0.61 spl2_170 <=> $less($sum(5,sK0),$sum(3,sK1))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_170])])). 0.35/0.61 tff(f4263,plain,( 0.35/0.61 spl2_173 <=> ~$less(sK0,$sum(5,sK0))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_173])])). 0.35/0.61 tff(f4265,plain,( 0.35/0.61 spl2_168 | spl2_170 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f3595,f4263,f4260,f4257])). 0.35/0.61 tff(f4267,plain,( 0.35/0.61 spl2_174 <=> ! [X16 : $int] : ($less(X16,$sum(3,sK1)) | $less($sum(5,$sum(-1,sK0)),$sum(X16,1)) | ~$less(sK0,X16))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_174])])). 0.35/0.61 tff(f4269,plain,( 0.35/0.61 spl2_174 | spl2_170 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f3593,f4263,f4260,f4267])). 0.35/0.61 tff(f4271,plain,( 0.35/0.61 spl2_176 <=> ! [X15 : $int,X14 : $int] : (~$less(X14,X15) | ~$less(sK0,X14) | ~$less(X15,$sum(5,$sum(-1,sK0))) | $less(sK1,X14))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_176])])). 0.35/0.61 tff(f4273,plain,( 0.35/0.61 spl2_176 | spl2_170 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f3592,f4263,f4260,f4271])). 0.35/0.61 tff(f4275,plain,( 0.35/0.61 spl2_178 <=> ! [X13 : $int] : ($less(sK1,X13) | $less($sum(5,$sum(-1,sK0)),$sum(X13,1)) | ~$less(sK0,X13))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_178])])). 0.35/0.61 tff(f4277,plain,( 0.35/0.61 spl2_178 | spl2_170 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f3591,f4263,f4260,f4275])). 0.35/0.61 tff(f4279,plain,( 0.35/0.61 spl2_180 <=> ! [X12 : $int] : (~$less(sK0,X12) | $less(X12,$sum(3,sK1)) | ~$less(X12,$sum(5,$sum(-1,sK0))))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_180])])). 0.35/0.61 tff(f4281,plain,( 0.35/0.61 spl2_180 | spl2_170 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f3590,f4263,f4260,f4279])). 0.35/0.61 tff(f4283,plain,( 0.35/0.61 spl2_182 <=> ! [X11 : $int] : (~$less(sK0,X11) | $less(sK1,X11) | ~$less(X11,$sum(5,$sum(-1,sK0))))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_182])])). 0.35/0.61 tff(f4285,plain,( 0.35/0.61 spl2_182 | spl2_170 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f3589,f4263,f4260,f4283])). 0.35/0.61 tff(f4286,plain,( 0.35/0.61 ~spl2_157 | spl2_158 | spl2_170 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f3588,f4263,f4260,f4238,f4234])). 0.35/0.61 tff(f4287,plain,( 0.35/0.61 $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0)))), 0.35/0.61 inference(global_subsumption,[],[f4254])). 0.35/0.61 tff(f4288,plain,( 0.35/0.61 ~spl2_157 | spl2_154), 0.35/0.61 inference(avatar_split_clause,[],[f4287,f4231,f4234])). 0.35/0.61 tff(f4296,plain,( 0.35/0.61 ( ! [X104:$int] : ($less($sum(5,$sum(sK0,sK0)),X104) | $less(2,sK1) | 0 = sK0 | ~$less(X104,5) | ~$less(sK0,X104) | $less(sK1,X104)) ) | ~spl2_116), 0.35/0.61 inference(subsumption_resolution,[],[f3035,f9])). 0.35/0.61 tff(f4298,plain,( 0.35/0.61 spl2_184 <=> ! [X104 : $int] : ($less($sum(5,$sum(sK0,sK0)),X104) | $less(sK1,X104) | ~$less(sK0,X104) | ~$less(X104,5))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_184])])). 0.35/0.61 tff(f4300,plain,( 0.35/0.61 spl2_32 | spl2_62 | spl2_184 | ~spl2_116), 0.35/0.61 inference(avatar_split_clause,[],[f4296,f2573,f4298,f2276,f389])). 0.35/0.61 tff(f4304,plain,( 0.35/0.61 spl2_186 <=> ! [X30 : $int] : (~$less(X30,5) | $less(sK1,$sum(sK0,X30)) | ~$less(sK0,$sum(sK0,X30)))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_186])])). 0.35/0.61 tff(f4306,plain,( 0.35/0.61 spl2_186 | spl2_158 | ~spl2_157), 0.35/0.61 inference(avatar_split_clause,[],[f2888,f4234,f4238,f4304])). 0.35/0.61 tff(f4308,plain,( 0.35/0.61 spl2_188 <=> ! [X29 : $int] : (~$less(X29,5) | $sum(5,sK0) = $sum(sK0,X29) | $less(sK1,$sum(sK0,X29)) | ~$less(sK0,$sum(sK0,X29)))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_188])])). 0.35/0.61 tff(f4310,plain,( 0.35/0.61 spl2_188 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f2932,f4263,f4308])). 0.35/0.61 tff(f4312,plain,( 0.35/0.61 spl2_190 <=> ! [X28 : $int] : (~$less(X28,5) | $sum(5,sK0) = $sum(sK0,X28) | $less($sum(sK0,X28),$sum(3,sK1)) | ~$less(sK0,$sum(sK0,X28)))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_190])])). 0.35/0.61 tff(f4315,plain,( 0.35/0.61 spl2_108 <=> $less(sK1,$sum(5,sK0))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_108])])). 0.35/0.61 tff(f4317,plain,( 0.35/0.61 spl2_190 | spl2_108 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f2886,f4263,f4315,f4312])). 0.35/0.61 tff(f4319,plain,( 0.35/0.61 spl2_192 <=> ! [X15 : $int] : (~$less(X15,4) | $less(sK1,$sum(sK0,X15)) | ~$less(sK0,$sum(sK0,X15)))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_192])])). 0.35/0.61 tff(f4321,plain,( 0.35/0.61 spl2_192 | spl2_108 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f2903,f4263,f4315,f4319])). 0.35/0.61 tff(f4323,plain,( 0.35/0.61 spl2_194 <=> ! [X14 : $int] : (~$less(X14,4) | $less($sum(sK0,X14),$sum(3,sK1)) | ~$less(sK0,$sum(sK0,X14)))), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_194])])). 0.35/0.61 tff(f4325,plain,( 0.35/0.61 spl2_194 | spl2_108 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f2905,f4263,f4315,f4323])). 0.35/0.61 tff(f4326,plain,( 0.35/0.61 spl2_158 | ~spl2_157), 0.35/0.61 inference(avatar_split_clause,[],[f2797,f4234,f4238])). 0.35/0.61 tff(f4327,plain,( 0.35/0.61 ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less(sK1,$sum(5,$sum(-1,sK0)))), 0.35/0.61 inference(global_subsumption,[],[f2797])). 0.35/0.61 tff(f4328,plain,( 0.35/0.61 spl2_158 | ~spl2_157), 0.35/0.61 inference(avatar_split_clause,[],[f4327,f4234,f4238])). 0.35/0.61 tff(f4329,plain,( 0.35/0.61 ~$less(sK0,$sum(5,$sum(-1,sK0))) | $less($sum(5,$sum(-1,sK0)),$sum(3,sK1))), 0.35/0.61 inference(global_subsumption,[],[f4287])). 0.35/0.61 tff(f4330,plain,( 0.35/0.61 spl2_154 | ~spl2_157), 0.35/0.61 inference(avatar_split_clause,[],[f4329,f4234,f4231])). 0.35/0.61 tff(f4331,plain,( 0.35/0.61 spl2_168 | spl2_108 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f2793,f4263,f4315,f4257])). 0.35/0.61 tff(f4332,plain,( 0.35/0.61 spl2_174 | spl2_108 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f2791,f4263,f4315,f4267])). 0.35/0.61 tff(f4333,plain,( 0.35/0.61 spl2_176 | spl2_108 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f2790,f4263,f4315,f4271])). 0.35/0.61 tff(f4334,plain,( 0.35/0.61 spl2_178 | spl2_108 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f2789,f4263,f4315,f4275])). 0.35/0.61 tff(f4335,plain,( 0.35/0.61 spl2_180 | spl2_108 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f2788,f4263,f4315,f4279])). 0.35/0.61 tff(f4336,plain,( 0.35/0.61 spl2_182 | spl2_108 | ~spl2_173), 0.35/0.61 inference(avatar_split_clause,[],[f2787,f4263,f4315,f4283])). 0.35/0.61 tff(f4337,plain,( 0.35/0.61 $less(sK1,$sum(5,$sum(-1,sK0))) | ~$less(sK0,$sum(5,$sum(-1,sK0)))), 0.35/0.61 inference(global_subsumption,[],[f4327])). 0.35/0.61 tff(f4338,plain,( 0.35/0.61 ~spl2_157 | spl2_158), 0.35/0.61 inference(avatar_split_clause,[],[f4337,f4238,f4234])). 0.35/0.61 tff(f4339,plain,( 0.35/0.61 $less($sum(5,$sum(-1,sK0)),$sum(3,sK1)) | ~$less(sK0,$sum(5,$sum(-1,sK0)))), 0.35/0.61 inference(global_subsumption,[],[f4329])). 0.35/0.61 tff(f4340,plain,( 0.35/0.61 ~spl2_157 | spl2_154), 0.35/0.61 inference(avatar_split_clause,[],[f4339,f4231,f4234])). 0.35/0.61 tff(f4345,plain,( 0.35/0.61 spl2_196 <=> sK0 = sK1), 0.35/0.61 introduced(avatar_definition,[new_symbols(naming,[spl2_196])])). 0.35/0.61 tff(f4347,plain,( 0.35/0.61 spl2_196 | spl2_150 | spl2_123), 0.35/0.61 inference(avatar_split_clause,[],[f2724,f2623,f4224,f4345])). 0.35/0.61 tff(f4348,plain,( 0.35/0.61 spl2_196 | spl2_150 | spl2_123), 0.35/0.61 inference(avatar_split_clause,[],[f2723,f2623,f4224,f4345])). 0.35/0.61 tff(f4349,plain,( 0.35/0.61 spl2_32 | spl2_26 | spl2_9), 0.35/0.61 inference(avatar_split_clause,[],[f2709,f101,f238,f389])). 0.35/0.61 tff(f4350,plain,( 0.35/0.61 spl2_32 | spl2_26 | spl2_9), 0.35/0.61 inference(avatar_split_clause,[],[f2708,f101,f238,f389])). 0.35/0.61 tff(f4355,plain,( 0.35/0.61 ~spl2_5 | ~spl2_26), 0.35/0.61 inference(avatar_split_clause,[],[f1719,f238,f91])). 0.35/0.61 tff(f4356,plain,( 0.35/0.61 ~spl2_5 | ~spl2_26), 0.35/0.61 inference(avatar_split_clause,[],[f4218,f238,f91])). 0.35/0.61 tff(f4357,plain,( 0.35/0.61 $false), 0.35/0.61 inference(avatar_sat_refutation,[],[f93,f106,f116,f169,f185,f235,f236,f240,f261,f309,f391,f392,f396,f403,f404,f407,f533,f542,f602,f884,f1347,f1361,f1378,f1404,f1423,f1520,f2278,f2289,f2303,f2326,f2342,f2356,f2443,f2450,f2468,f2472,f2476,f2480,f2484,f2488,f2492,f2496,f2500,f2504,f2511,f2515,f2519,f2523,f2524,f2541,f2553,f2575,f2579,f2580,f2612,f2628,f2630,f2634,f2635,f2636,f2637,f2721,f2732,f2735,f3655,f3760,f3791,f3804,f3819,f3836,f3852,f3863,f3875,f3886,f3898,f3909,f3920,f3930,f3942,f4162,f4175,f4187,f4206,f4207,f4222,f4229,f4236,f4243,f4253,f4255,f4265,f4269,f4273,f4277,f4281,f4285,f4286,f4288,f4300,f4306,f4310,f4317,f4321,f4325,f4326,f4328,f4330,f4331,f4332,f4333,f4334,f4335,f4336,f4338,f4340,f4347,f4348,f4349,f4350,f4355,f4356])). 0.35/0.61 % SZS output end Proof for theBenchmark 0.35/0.61 % ------------------------------ 0.35/0.61 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.35/0.61 % Termination reason: Refutation 0.35/0.61 0.35/0.61 % Memory used [KB]: 7419 0.35/0.61 % Time elapsed: 0.216 s 0.35/0.61 % ------------------------------ 0.35/0.61 % ------------------------------ 0.35/0.61 % Success in time 0.363 s 0.35/0.61 EOF