0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -m 90000 -t %d %s 0.03/0.23 % Computer : n132.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 04:34:11 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.24 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.24 % remaining time: 3000 next slice time: 3 0.06/0.26 dis+1002_4_gs=on:inst=on:nm=64:nwc=1.3:sas=z3:sac=on:sfr=on:smm=off:ssnc=none:sp=occurrence:tha=off:thf=on:updr=off_1 on theBenchmark 0.45/0.66 % (62961)Time limit reached! 0.45/0.66 % ------------------------------ 0.45/0.66 % Version: Vampire 4.1 for CASC J8 Entry 0.45/0.66 % Termination reason: Time limit 0.45/0.66 % Termination phase: Saturation 0.45/0.66 0.45/0.66 % Memory used [KB]: 4221 0.45/0.66 % Time elapsed: 0.400 s 0.45/0.66 % ------------------------------ 0.45/0.66 % ------------------------------ 0.45/0.66 % remaining time: 2995 next slice time: 3 0.45/0.67 lrs+1_24_bs=unit_only:fsr=off:gs=on:gsem=on:inst=on:nm=64:nwc=3:sas=z3:stl=30:sac=on:sdd=large:sfr=on:ssfp=4000:ssfq=2.0:ssnc=none:sp=reverse_arity:thf=on:updr=off_1 on theBenchmark 0.48/1.07 % (62962)Time limit reached! 0.48/1.07 % ------------------------------ 0.48/1.07 % Version: Vampire 4.1 for CASC J8 Entry 0.48/1.07 % Termination reason: Time limit 0.48/1.07 % Termination phase: Saturation 0.48/1.07 0.48/1.07 % Memory used [KB]: 3965 0.48/1.07 % Time elapsed: 0.400 s 0.48/1.07 % ------------------------------ 0.48/1.07 % ------------------------------ 0.48/1.07 % remaining time: 2991 next slice time: 5 0.48/1.07 lrs+11_4:1_cond=on:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.7:sas=z3:stl=30:sdd=large:ssfp=100000:ssfq=1.2:smm=off:ssnc=none:tha=off_3 on theBenchmark 1.43/1.67 % (62963)Time limit reached! 1.43/1.67 % ------------------------------ 1.43/1.67 % Version: Vampire 4.1 for CASC J8 Entry 1.43/1.67 % Termination reason: Time limit 1.43/1.67 % Termination phase: Saturation 1.43/1.67 1.43/1.67 % Memory used [KB]: 15351 1.43/1.67 % Time elapsed: 0.600 s 1.43/1.67 % ------------------------------ 1.43/1.67 % ------------------------------ 1.43/1.67 % remaining time: 2985 next slice time: 9 1.43/1.67 dis+10_2:1_gs=on:gsem=off:irw=on:lcm=reverse:lma=on:nm=2:nwc=1.3:nicw=on:sas=z3:sac=on:sdd=off:sfr=on:ssfp=1000:ssfq=1.1:smm=sco:ssnc=none:sp=occurrence:tha=off:updr=off_7 on theBenchmark 2.48/2.67 % (62964)Time limit reached! 2.48/2.67 % ------------------------------ 2.48/2.67 % Version: Vampire 4.1 for CASC J8 Entry 2.48/2.67 % Termination reason: Time limit 2.48/2.67 % Termination phase: Saturation 2.48/2.67 2.48/2.67 % Memory used [KB]: 37483 2.48/2.67 % Time elapsed: 1.0000 s 2.48/2.67 % ------------------------------ 2.48/2.67 % ------------------------------ 2.48/2.68 % remaining time: 2975 next slice time: 10 2.48/2.68 dis+11_2:1_bd=off:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:ssac=none:sdd=large:sfr=on:ssfp=40000:ssfq=1.0:ssnc=none:sp=reverse_arity:tha=off:updr=off_9 on theBenchmark 2.93/3.17 % Refutation found. Thanks to Tanya! 2.93/3.17 % SZS status Theorem for theBenchmark 2.93/3.17 % SZS output start Proof for theBenchmark 2.93/3.17 tff(func_def_0, type, c: $int). 2.93/3.17 tff(func_def_1, type, summation: $int > $int). 2.93/3.17 tff(func_def_2, type, max: ($int * $int) > $int). 2.93/3.17 tff(func_def_4, type, sK0: $int). 2.93/3.17 tff(func_def_5, type, sK1: $int). 2.93/3.17 tff(func_def_6, type, sK2: $int). 2.93/3.17 tff(func_def_7, type, sK3: ($int * $int * $int) > $int). 2.93/3.17 tff(func_def_8, type, sK4: ($int * $int * $int) > $int). 2.93/3.17 tff(func_def_9, type, sK5: ($int * $int * $int) > $int). 2.93/3.17 tff(pred_def_1, type, ub: ($int * $int * $int) > $o). 2.93/3.17 tff(pred_def_2, type, model_max: ($int * $int * $int) > $o). 2.93/3.17 tff(pred_def_3, type, model_ub: ($int * $int * $int) > $o). 2.93/3.17 tff(pred_def_4, type, minsol_model_max: ($int * $int * $int) > $o). 2.93/3.17 tff(pred_def_5, type, minsol_model_ub: ($int * $int * $int) > $o). 2.93/3.17 tff(f1,axiom,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : ($lesseq($sum(c,summation(max(X0,X1))),X2) <=> model_max(X0,X1,X2))), 2.93/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_max_5)). 2.93/3.17 tff(f2,axiom,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : (? [X3 : $int] : (ub(X0,X1,X3) & $lesseq($sum(c,summation(X3)),X2)) <=> model_ub(X0,X1,X2))), 2.93/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_ub_5)). 2.93/3.17 tff(f3,conjecture,( 2.93/3.17 ! [X0 : $int,X1 : $int,X3 : $int] : (minsol_model_ub(X0,X1,X3) <=> minsol_model_max(X0,X1,X3))), 2.93/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_is_ub_1)). 2.93/3.17 tff(f4,negated_conjecture,( 2.93/3.17 ~! [X0 : $int,X1 : $int,X3 : $int] : (minsol_model_ub(X0,X1,X3) <=> minsol_model_max(X0,X1,X3))), 2.93/3.17 inference(negated_conjecture,[],[f3])). 2.93/3.17 tff(f5,axiom,( 2.93/3.17 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X0 | ~$lesseq(X1,X0))), 2.93/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_1)). 2.93/3.17 tff(f6,axiom,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_max(X0,X1,X2) <=> (! [X3 : $int] : (model_max(X0,X1,X3) => $lesseq(X2,X3)) & model_max(X0,X1,X2)))), 2.93/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_max)). 2.93/3.17 tff(f7,axiom,( 2.93/3.17 ! [X0 : $int,X1 : $int,X3 : $int] : (ub(X0,X1,X3) <=> ($lesseq(X0,X3) & $lesseq(X1,X3)))), 2.93/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ub)). 2.93/3.17 tff(f8,axiom,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <=> (model_ub(X0,X1,X2) & ! [X3 : $int] : (model_ub(X0,X1,X3) => $lesseq(X2,X3))))), 2.93/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_ub)). 2.93/3.17 tff(f9,axiom,( 2.93/3.17 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X1 | ~$lesseq(X0,X1))), 2.93/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_2)). 2.93/3.17 tff(f10,axiom,( 2.93/3.17 ! [X0 : $int,X1 : $int] : ($lesseq(summation(X0),summation(X1)) <=> $lesseq(X0,X1))), 2.93/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',summation_monotone)). 2.93/3.17 tff(f11,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X1 | $less(X1,X0))), 2.93/3.17 inference(evaluation,[],[f9])). 2.93/3.17 tff(f12,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X0 | $less(X0,X1))), 2.93/3.17 inference(evaluation,[],[f5])). 2.93/3.17 tff(f13,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int] : (~$less(summation(X1),summation(X0)) <=> ~$less(X1,X0))), 2.93/3.17 inference(evaluation,[],[f10])). 2.93/3.17 tff(f14,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X3 : $int] : (ub(X0,X1,X3) <=> (~$less(X3,X0) & ~$less(X3,X1)))), 2.93/3.17 inference(evaluation,[],[f7])). 2.93/3.17 tff(f15,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_max(X0,X1,X2) <=> (! [X3 : $int] : (model_max(X0,X1,X3) => ~$less(X3,X2)) & model_max(X0,X1,X2)))), 2.93/3.17 inference(evaluation,[],[f6])). 2.93/3.17 tff(f16,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <=> (model_ub(X0,X1,X2) & ! [X3 : $int] : (model_ub(X0,X1,X3) => ~$less(X3,X2))))), 2.93/3.17 inference(evaluation,[],[f8])). 2.93/3.17 tff(f17,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X2,$sum(c,summation(max(X0,X1)))) <=> model_max(X0,X1,X2))), 2.93/3.17 inference(evaluation,[],[f1])). 2.93/3.17 tff(f18,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : (? [X3 : $int] : (ub(X0,X1,X3) & ~$less(X2,$sum(c,summation(X3)))) <=> model_ub(X0,X1,X2))), 2.93/3.17 inference(evaluation,[],[f2])). 2.93/3.17 tff(f19,plain,( 2.93/3.17 ~! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <=> minsol_model_max(X0,X1,X2))), 2.93/3.17 inference(rectify,[],[f4])). 2.93/3.17 tff(f20,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : (ub(X0,X1,X2) <=> (~$less(X2,X0) & ~$less(X2,X1)))), 2.93/3.17 inference(rectify,[],[f14])). 2.93/3.17 tff(f21,plain,( 2.93/3.17 ? [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <~> minsol_model_max(X0,X1,X2))), 2.93/3.17 inference(ennf_transformation,[],[f19])). 2.93/3.17 tff(f22,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_max(X0,X1,X2) <=> (! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)))), 2.93/3.17 inference(ennf_transformation,[],[f15])). 2.93/3.17 tff(f23,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <=> (model_ub(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3))))), 2.93/3.17 inference(ennf_transformation,[],[f16])). 2.93/3.17 tff(f24,plain,( 2.93/3.17 ? [X0 : $int,X1 : $int,X2 : $int] : ((~minsol_model_max(X0,X1,X2) | ~minsol_model_ub(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | minsol_model_ub(X0,X1,X2)))), 2.93/3.17 inference(nnf_transformation,[],[f21])). 2.93/3.17 tff(f25,plain,( 2.93/3.17 ? [X0 : $int,X1 : $int,X2 : $int] : ((~minsol_model_max(X0,X1,X2) | ~minsol_model_ub(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | minsol_model_ub(X0,X1,X2))) => ((~minsol_model_max(sK0,sK1,sK2) | ~minsol_model_ub(sK0,sK1,sK2)) & (minsol_model_max(sK0,sK1,sK2) | minsol_model_ub(sK0,sK1,sK2)))), 2.93/3.17 introduced(choice_axiom,[])). 2.93/3.17 tff(f26,plain,( 2.93/3.17 (~minsol_model_max(sK0,sK1,sK2) | ~minsol_model_ub(sK0,sK1,sK2)) & (minsol_model_max(sK0,sK1,sK2) | minsol_model_ub(sK0,sK1,sK2))), 2.93/3.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f24,f25])). 2.93/3.17 tff(f27,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int] : ((~$less(summation(X1),summation(X0)) | $less(X1,X0)) & (~$less(X1,X0) | $less(summation(X1),summation(X0))))), 2.93/3.17 inference(nnf_transformation,[],[f13])). 2.93/3.17 tff(f28,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : ((ub(X0,X1,X2) | ($less(X2,X0) | $less(X2,X1))) & ((~$less(X2,X0) & ~$less(X2,X1)) | ~ub(X0,X1,X2)))), 2.93/3.17 inference(nnf_transformation,[],[f20])). 2.93/3.17 tff(f29,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : ((ub(X0,X1,X2) | $less(X2,X0) | $less(X2,X1)) & ((~$less(X2,X0) & ~$less(X2,X1)) | ~ub(X0,X1,X2)))), 2.93/3.17 inference(flattening,[],[f28])). 2.93/3.17 tff(f30,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_max(X0,X1,X2) | (? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3)) | ~model_max(X0,X1,X2))) & ((! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)))), 2.93/3.17 inference(nnf_transformation,[],[f22])). 2.93/3.17 tff(f31,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_max(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3)) | ~model_max(X0,X1,X2)) & ((! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)))), 2.93/3.17 inference(flattening,[],[f30])). 2.93/3.17 tff(f32,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_max(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3)) | ~model_max(X0,X1,X2)) & ((! [X4 : $int] : (~$less(X4,X2) | ~model_max(X0,X1,X4)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)))), 2.93/3.17 inference(rectify,[],[f31])). 2.93/3.17 tff(f33,plain,( 2.93/3.17 ! [X2 : $int,X1 : $int,X0 : $int] : (? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3)) => ($less(sK3(X0,X1,X2),X2) & model_max(X0,X1,sK3(X0,X1,X2))))), 2.93/3.17 introduced(choice_axiom,[])). 2.93/3.17 tff(f34,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_max(X0,X1,X2) | ($less(sK3(X0,X1,X2),X2) & model_max(X0,X1,sK3(X0,X1,X2))) | ~model_max(X0,X1,X2)) & ((! [X4 : $int] : (~$less(X4,X2) | ~model_max(X0,X1,X4)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)))), 2.93/3.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f32,f33])). 2.93/3.17 tff(f35,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_ub(X0,X1,X2) | (~model_ub(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3)))) & ((model_ub(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3))) | ~minsol_model_ub(X0,X1,X2)))), 2.93/3.17 inference(nnf_transformation,[],[f23])). 2.93/3.17 tff(f36,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3))) & ((model_ub(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3))) | ~minsol_model_ub(X0,X1,X2)))), 2.93/3.17 inference(flattening,[],[f35])). 2.93/3.17 tff(f37,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3))) & ((model_ub(X0,X1,X2) & ! [X4 : $int] : (~$less(X4,X2) | ~model_ub(X0,X1,X4))) | ~minsol_model_ub(X0,X1,X2)))), 2.93/3.17 inference(rectify,[],[f36])). 2.93/3.17 tff(f38,plain,( 2.93/3.17 ! [X2 : $int,X1 : $int,X0 : $int] : (? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3)) => ($less(sK4(X0,X1,X2),X2) & model_ub(X0,X1,sK4(X0,X1,X2))))), 2.93/3.17 introduced(choice_axiom,[])). 2.93/3.17 tff(f39,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | ($less(sK4(X0,X1,X2),X2) & model_ub(X0,X1,sK4(X0,X1,X2)))) & ((model_ub(X0,X1,X2) & ! [X4 : $int] : (~$less(X4,X2) | ~model_ub(X0,X1,X4))) | ~minsol_model_ub(X0,X1,X2)))), 2.93/3.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f37,f38])). 2.93/3.17 tff(f40,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less(X2,$sum(c,summation(max(X0,X1)))) | ~model_max(X0,X1,X2)) & (model_max(X0,X1,X2) | $less(X2,$sum(c,summation(max(X0,X1))))))), 2.93/3.17 inference(nnf_transformation,[],[f17])). 2.93/3.17 tff(f41,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : ((? [X3 : $int] : (ub(X0,X1,X3) & ~$less(X2,$sum(c,summation(X3)))) | ~model_ub(X0,X1,X2)) & (model_ub(X0,X1,X2) | ! [X3 : $int] : (~ub(X0,X1,X3) | $less(X2,$sum(c,summation(X3))))))), 2.93/3.17 inference(nnf_transformation,[],[f18])). 2.93/3.17 tff(f42,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : ((? [X3 : $int] : (ub(X0,X1,X3) & ~$less(X2,$sum(c,summation(X3)))) | ~model_ub(X0,X1,X2)) & (model_ub(X0,X1,X2) | ! [X4 : $int] : (~ub(X0,X1,X4) | $less(X2,$sum(c,summation(X4))))))), 2.93/3.17 inference(rectify,[],[f41])). 2.93/3.17 tff(f43,plain,( 2.93/3.17 ! [X2 : $int,X1 : $int,X0 : $int] : (? [X3 : $int] : (ub(X0,X1,X3) & ~$less(X2,$sum(c,summation(X3)))) => (ub(X0,X1,sK5(X0,X1,X2)) & ~$less(X2,$sum(c,summation(sK5(X0,X1,X2))))))), 2.93/3.17 introduced(choice_axiom,[])). 2.93/3.17 tff(f44,plain,( 2.93/3.17 ! [X0 : $int,X1 : $int,X2 : $int] : (((ub(X0,X1,sK5(X0,X1,X2)) & ~$less(X2,$sum(c,summation(sK5(X0,X1,X2))))) | ~model_ub(X0,X1,X2)) & (model_ub(X0,X1,X2) | ! [X4 : $int] : (~ub(X0,X1,X4) | $less(X2,$sum(c,summation(X4))))))), 2.93/3.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f42,f43])). 2.93/3.17 tff(f45,plain,( 2.93/3.17 minsol_model_max(sK0,sK1,sK2) | minsol_model_ub(sK0,sK1,sK2)), 2.93/3.17 inference(cnf_transformation,[],[f26])). 2.93/3.17 tff(f46,plain,( 2.93/3.17 ~minsol_model_max(sK0,sK1,sK2) | ~minsol_model_ub(sK0,sK1,sK2)), 2.93/3.17 inference(cnf_transformation,[],[f26])). 2.93/3.17 tff(f47,plain,( 2.93/3.17 ( ! [X0:$int,X1:$int] : (max(X0,X1) = X1 | $less(X1,X0)) )), 2.93/3.17 inference(cnf_transformation,[],[f11])). 2.93/3.17 tff(f48,plain,( 2.93/3.17 ( ! [X0:$int,X1:$int] : (max(X0,X1) = X0 | $less(X0,X1)) )), 2.93/3.17 inference(cnf_transformation,[],[f12])). 2.93/3.17 tff(f49,plain,( 2.93/3.17 ( ! [X0:$int,X1:$int] : (~$less(X1,X0) | $less(summation(X1),summation(X0))) )), 2.93/3.17 inference(cnf_transformation,[],[f27])). 2.93/3.17 tff(f50,plain,( 2.93/3.17 ( ! [X0:$int,X1:$int] : (~$less(summation(X1),summation(X0)) | $less(X1,X0)) )), 2.93/3.17 inference(cnf_transformation,[],[f27])). 2.93/3.17 tff(f51,plain,( 2.93/3.17 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,X1) | ~ub(X0,X1,X2)) )), 2.93/3.17 inference(cnf_transformation,[],[f29])). 2.93/3.17 tff(f52,plain,( 2.93/3.17 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,X0) | ~ub(X0,X1,X2)) )), 2.93/3.17 inference(cnf_transformation,[],[f29])). 2.93/3.17 tff(f53,plain,( 2.93/3.17 ( ! [X2:$int,X0:$int,X1:$int] : (ub(X0,X1,X2) | $less(X2,X0) | $less(X2,X1)) )), 2.93/3.17 inference(cnf_transformation,[],[f29])). 2.93/3.17 tff(f54,plain,( 2.93/3.17 ( ! [X2:$int,X0:$int,X1:$int] : (model_max(X0,X1,X2) | ~minsol_model_max(X0,X1,X2)) )), 2.93/3.17 inference(cnf_transformation,[],[f34])). 2.93/3.17 tff(f55,plain,( 2.93/3.17 ( ! [X4:$int,X2:$int,X0:$int,X1:$int] : (~$less(X4,X2) | ~model_max(X0,X1,X4) | ~minsol_model_max(X0,X1,X2)) )), 2.93/3.17 inference(cnf_transformation,[],[f34])). 2.93/3.17 tff(f56,plain,( 2.93/3.17 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_max(X0,X1,X2) | model_max(X0,X1,sK3(X0,X1,X2)) | ~model_max(X0,X1,X2)) )), 2.93/3.17 inference(cnf_transformation,[],[f34])). 2.93/3.17 tff(f57,plain,( 2.93/3.17 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_max(X0,X1,X2) | $less(sK3(X0,X1,X2),X2) | ~model_max(X0,X1,X2)) )), 2.93/3.17 inference(cnf_transformation,[],[f34])). 2.93/3.17 tff(f58,plain,( 2.93/3.17 ( ! [X4:$int,X2:$int,X0:$int,X1:$int] : (~$less(X4,X2) | ~model_ub(X0,X1,X4) | ~minsol_model_ub(X0,X1,X2)) )), 2.93/3.17 inference(cnf_transformation,[],[f39])). 2.93/3.17 tff(f59,plain,( 2.93/3.17 ( ! [X2:$int,X0:$int,X1:$int] : (model_ub(X0,X1,X2) | ~minsol_model_ub(X0,X1,X2)) )), 2.93/3.17 inference(cnf_transformation,[],[f39])). 2.93/3.17 tff(f60,plain,( 2.93/3.17 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | model_ub(X0,X1,sK4(X0,X1,X2))) )), 2.93/3.17 inference(cnf_transformation,[],[f39])). 2.93/3.17 tff(f61,plain,( 2.93/3.17 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | $less(sK4(X0,X1,X2),X2)) )), 2.93/3.17 inference(cnf_transformation,[],[f39])). 2.93/3.17 tff(f62,plain,( 2.93/3.17 ( ! [X2:$int,X0:$int,X1:$int] : (model_max(X0,X1,X2) | $less(X2,$sum(c,summation(max(X0,X1))))) )), 2.93/3.17 inference(cnf_transformation,[],[f40])). 2.93/3.17 tff(f63,plain,( 2.93/3.17 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,$sum(c,summation(max(X0,X1)))) | ~model_max(X0,X1,X2)) )), 2.93/3.17 inference(cnf_transformation,[],[f40])). 2.93/3.17 tff(f64,plain,( 2.93/3.17 ( ! [X4:$int,X2:$int,X0:$int,X1:$int] : (model_ub(X0,X1,X2) | ~ub(X0,X1,X4) | $less(X2,$sum(c,summation(X4)))) )), 2.93/3.17 inference(cnf_transformation,[],[f44])). 2.93/3.17 tff(f65,plain,( 2.93/3.17 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,$sum(c,summation(sK5(X0,X1,X2)))) | ~model_ub(X0,X1,X2)) )), 2.93/3.17 inference(cnf_transformation,[],[f44])). 2.93/3.17 tff(f66,plain,( 2.93/3.17 ( ! [X2:$int,X0:$int,X1:$int] : (ub(X0,X1,sK5(X0,X1,X2)) | ~model_ub(X0,X1,X2)) )), 2.93/3.17 inference(cnf_transformation,[],[f44])). 2.93/3.17 tff(f68,plain,( 2.93/3.17 spl6_1 <=> ~minsol_model_ub(sK0,sK1,sK2)), 2.93/3.17 introduced(AVATAR_definition,[new_symbols(naming,[spl6_1])])). 2.93/3.17 tff(f69,plain,( 2.93/3.17 ~minsol_model_ub(sK0,sK1,sK2) | ~spl6_1), 2.93/3.17 inference(AVATAR_component_clause,[],[f68])). 2.93/3.17 tff(f71,plain,( 2.93/3.17 spl6_3 <=> ~minsol_model_max(sK0,sK1,sK2)), 2.93/3.17 introduced(AVATAR_definition,[new_symbols(naming,[spl6_3])])). 2.93/3.17 tff(f72,plain,( 2.93/3.17 ~minsol_model_max(sK0,sK1,sK2) | ~spl6_3), 2.93/3.17 inference(AVATAR_component_clause,[],[f71])). 2.93/3.17 tff(f73,plain,( 2.93/3.17 ~spl6_1 | ~spl6_3), 2.93/3.17 inference(AVATAR_split_clause,[],[f46,f71,f68])). 2.93/3.17 tff(f75,plain,( 2.93/3.17 spl6_0 <=> minsol_model_ub(sK0,sK1,sK2)), 2.93/3.17 introduced(AVATAR_definition,[new_symbols(naming,[spl6_0])])). 2.93/3.17 tff(f76,plain,( 2.93/3.17 minsol_model_ub(sK0,sK1,sK2) | ~spl6_0), 2.93/3.17 inference(AVATAR_component_clause,[],[f75])). 2.93/3.17 tff(f78,plain,( 2.93/3.17 spl6_2 <=> minsol_model_max(sK0,sK1,sK2)), 2.93/3.17 introduced(AVATAR_definition,[new_symbols(naming,[spl6_2])])). 2.93/3.17 tff(f79,plain,( 2.93/3.17 minsol_model_max(sK0,sK1,sK2) | ~spl6_2), 2.93/3.17 inference(AVATAR_component_clause,[],[f78])). 2.93/3.17 tff(f80,plain,( 2.93/3.17 spl6_0 | spl6_2), 2.93/3.17 inference(AVATAR_split_clause,[],[f45,f78,f75])). 2.93/3.17 tff(f81,plain,( 2.93/3.17 ~model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_1), 2.93/3.17 inference(resolution,[],[f69,f60])). 2.93/3.17 tff(f82,plain,( 2.93/3.17 ~model_ub(sK0,sK1,sK2) | $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_1), 2.93/3.17 inference(resolution,[],[f69,f61])). 2.93/3.17 tff(f84,plain,( 2.93/3.17 spl6_4 <=> model_ub(sK0,sK1,sK4(sK0,sK1,sK2))), 2.93/3.17 introduced(AVATAR_definition,[new_symbols(naming,[spl6_4])])). 2.93/3.17 tff(f85,plain,( 2.93/3.17 model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_4), 2.93/3.17 inference(AVATAR_component_clause,[],[f84])). 2.93/3.17 tff(f87,plain,( 2.93/3.17 spl6_7 <=> ~model_ub(sK0,sK1,sK2)), 2.93/3.17 introduced(AVATAR_definition,[new_symbols(naming,[spl6_7])])). 2.93/3.17 tff(f88,plain,( 2.93/3.17 ~model_ub(sK0,sK1,sK2) | ~spl6_7), 2.93/3.17 inference(AVATAR_component_clause,[],[f87])). 2.93/3.17 tff(f89,plain,( 2.93/3.17 spl6_4 | ~spl6_7 | spl6_1), 2.93/3.17 inference(AVATAR_split_clause,[],[f81,f68,f87,f84])). 2.93/3.17 tff(f91,plain,( 2.93/3.17 spl6_8 <=> $less(sK4(sK0,sK1,sK2),sK2)), 2.93/3.17 introduced(AVATAR_definition,[new_symbols(naming,[spl6_8])])). 2.93/3.17 tff(f92,plain,( 2.93/3.17 $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_8), 2.93/3.17 inference(AVATAR_component_clause,[],[f91])). 2.93/3.17 tff(f93,plain,( 2.93/3.17 spl6_8 | ~spl6_7 | spl6_1), 2.93/3.17 inference(AVATAR_split_clause,[],[f82,f68,f87,f91])). 2.93/3.17 tff(f94,plain,( 2.93/3.17 model_max(sK0,sK1,sK2) | ~spl6_2), 2.93/3.17 inference(resolution,[],[f79,f54])). 2.93/3.17 tff(f97,plain,( 2.93/3.17 spl6_10 <=> model_max(sK0,sK1,sK2)), 2.93/3.17 introduced(AVATAR_definition,[new_symbols(naming,[spl6_10])])). 2.93/3.17 tff(f98,plain,( 2.93/3.17 model_max(sK0,sK1,sK2) | ~spl6_10), 2.93/3.17 inference(AVATAR_component_clause,[],[f97])). 2.93/3.17 tff(f99,plain,( 2.93/3.17 spl6_10 | ~spl6_2), 2.93/3.17 inference(AVATAR_split_clause,[],[f94,f78,f97])). 2.93/3.17 tff(f100,plain,( 2.93/3.17 model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~model_max(sK0,sK1,sK2) | ~spl6_3), 2.93/3.17 inference(resolution,[],[f72,f56])). 2.93/3.17 tff(f101,plain,( 2.93/3.17 $less(sK3(sK0,sK1,sK2),sK2) | ~model_max(sK0,sK1,sK2) | ~spl6_3), 2.93/3.17 inference(resolution,[],[f72,f57])). 2.93/3.17 tff(f103,plain,( 2.93/3.17 spl6_11 <=> ~model_max(sK0,sK1,sK2)), 2.93/3.17 introduced(AVATAR_definition,[new_symbols(naming,[spl6_11])])). 2.93/3.17 tff(f104,plain,( 2.93/3.17 ~model_max(sK0,sK1,sK2) | ~spl6_11), 2.93/3.17 inference(AVATAR_component_clause,[],[f103])). 2.93/3.17 tff(f106,plain,( 2.93/3.17 spl6_12 <=> model_max(sK0,sK1,sK3(sK0,sK1,sK2))), 2.93/3.17 introduced(AVATAR_definition,[new_symbols(naming,[spl6_12])])). 2.93/3.17 tff(f107,plain,( 2.93/3.17 model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_12), 2.93/3.17 inference(AVATAR_component_clause,[],[f106])). 2.93/3.17 tff(f108,plain,( 2.93/3.17 ~spl6_11 | spl6_12 | spl6_3), 2.93/3.17 inference(AVATAR_split_clause,[],[f100,f71,f106,f103])). 2.93/3.17 tff(f110,plain,( 2.93/3.17 spl6_14 <=> $less(sK3(sK0,sK1,sK2),sK2)), 2.93/3.17 introduced(AVATAR_definition,[new_symbols(naming,[spl6_14])])). 2.93/3.17 tff(f111,plain,( 2.93/3.17 $less(sK3(sK0,sK1,sK2),sK2) | ~spl6_14), 2.93/3.17 inference(AVATAR_component_clause,[],[f110])). 2.93/3.17 tff(f112,plain,( 2.93/3.17 ~spl6_11 | spl6_14 | spl6_3), 2.93/3.17 inference(AVATAR_split_clause,[],[f101,f71,f110,f103])). 2.93/3.17 tff(f114,plain,( 2.93/3.17 model_ub(sK0,sK1,sK2) | ~spl6_0), 2.93/3.17 inference(resolution,[],[f76,f59])). 2.93/3.17 tff(f116,plain,( 2.93/3.17 spl6_6 <=> model_ub(sK0,sK1,sK2)), 2.93/3.17 introduced(AVATAR_definition,[new_symbols(naming,[spl6_6])])). 2.93/3.17 tff(f117,plain,( 2.93/3.17 model_ub(sK0,sK1,sK2) | ~spl6_6), 2.93/3.17 inference(AVATAR_component_clause,[],[f116])). 2.93/3.17 tff(f118,plain,( 2.93/3.17 spl6_6 | ~spl6_0), 2.93/3.17 inference(AVATAR_split_clause,[],[f114,f75,f116])). 2.93/3.17 tff(f119,plain,( 2.93/3.17 spl6_10 | ~spl6_2), 2.93/3.17 inference(AVATAR_split_clause,[],[f94,f78,f97])). 2.93/3.17 tff(f120,plain,( 2.93/3.17 ~model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_1), 2.93/3.17 inference(resolution,[],[f69,f60])). 2.93/3.17 tff(f121,plain,( 2.93/3.17 ~model_ub(sK0,sK1,sK2) | $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_1), 2.93/3.17 inference(resolution,[],[f69,f61])). 2.93/3.17 tff(f122,plain,( 2.93/3.17 spl6_4 | ~spl6_7 | spl6_1), 2.93/3.17 inference(AVATAR_split_clause,[],[f120,f68,f87,f84])). 2.93/3.17 tff(f123,plain,( 2.93/3.17 spl6_8 | ~spl6_7 | spl6_1), 2.93/3.17 inference(AVATAR_split_clause,[],[f121,f68,f87,f91])). 2.93/3.17 tff(f124,plain,( 2.93/3.17 model_max(sK0,sK1,sK2) | ~spl6_2), 2.93/3.17 inference(resolution,[],[f79,f54])). 2.93/3.17 tff(f126,plain,( 2.93/3.17 spl6_10 | ~spl6_2), 2.93/3.17 inference(AVATAR_split_clause,[],[f124,f78,f97])). 2.93/3.17 tff(f128,plain,( 2.93/3.17 ~minsol_model_ub(sK0,sK1,sK2) | ~spl6_7), 2.93/3.17 inference(resolution,[],[f88,f59])). 2.93/3.17 tff(f129,plain,( 2.93/3.17 ~$less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_10), 2.93/3.17 inference(resolution,[],[f98,f63])). 2.93/3.17 tff(f134,plain,( 2.93/3.17 spl6_17 <=> ~$less(sK2,$sum(c,summation(max(sK0,sK1))))), 2.93/3.17 introduced(AVATAR_definition,[new_symbols(naming,[spl6_17])])). 2.93/3.17 tff(f135,plain,( 2.93/3.17 ~$less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_17), 2.93/3.17 inference(AVATAR_component_clause,[],[f134])). 2.93/3.17 tff(f136,plain,( 2.93/3.17 ~spl6_17 | ~spl6_10), 2.93/3.17 inference(AVATAR_split_clause,[],[f129,f97,f134])). 2.93/3.17 tff(f137,plain,( 2.93/3.17 spl6_6 | ~spl6_0), 2.93/3.17 inference(AVATAR_split_clause,[],[f114,f75,f116])). 2.93/3.17 tff(f138,plain,( 2.93/3.17 model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~model_max(sK0,sK1,sK2) | ~spl6_3), 2.93/3.17 inference(resolution,[],[f72,f56])). 2.93/3.17 tff(f139,plain,( 2.93/3.17 $less(sK3(sK0,sK1,sK2),sK2) | ~model_max(sK0,sK1,sK2) | ~spl6_3), 2.93/3.17 inference(resolution,[],[f72,f57])). 2.93/3.17 tff(f140,plain,( 2.93/3.17 ~spl6_11 | spl6_12 | spl6_3), 2.93/3.17 inference(AVATAR_split_clause,[],[f138,f71,f106,f103])). 2.93/3.17 tff(f141,plain,( 2.93/3.17 ~spl6_11 | spl6_14 | spl6_3), 2.93/3.17 inference(AVATAR_split_clause,[],[f139,f71,f110,f103])). 2.93/3.17 tff(f143,plain,( 2.93/3.17 model_ub(sK0,sK1,sK2) | ~spl6_0), 2.93/3.17 inference(resolution,[],[f76,f59])). 2.93/3.17 tff(f144,plain,( 2.93/3.17 spl6_6 | ~spl6_0), 2.93/3.17 inference(AVATAR_split_clause,[],[f143,f75,f116])). 2.93/3.17 tff(f145,plain,( 2.93/3.17 $less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_11), 2.93/3.17 inference(resolution,[],[f104,f62])). 2.93/3.17 tff(f146,plain,( 2.93/3.17 ~minsol_model_max(sK0,sK1,sK2) | ~spl6_11), 2.93/3.17 inference(resolution,[],[f104,f54])). 2.93/3.18 tff(f148,plain,( 2.93/3.18 spl6_16 <=> $less(sK2,$sum(c,summation(max(sK0,sK1))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_16])])). 2.93/3.18 tff(f149,plain,( 2.93/3.18 $less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_16), 2.93/3.18 inference(AVATAR_component_clause,[],[f148])). 2.93/3.18 tff(f150,plain,( 2.93/3.18 spl6_16 | spl6_11), 2.93/3.18 inference(AVATAR_split_clause,[],[f145,f103,f148])). 2.93/3.18 tff(f151,plain,( 2.93/3.18 ~$less(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) | ~spl6_6), 2.93/3.18 inference(resolution,[],[f117,f65])). 2.93/3.18 tff(f152,plain,( 2.93/3.18 ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_6), 2.93/3.18 inference(resolution,[],[f117,f66])). 2.93/3.18 tff(f157,plain,( 2.93/3.18 spl6_19 <=> ~$less(sK2,$sum(c,summation(sK5(sK0,sK1,sK2))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_19])])). 2.93/3.18 tff(f158,plain,( 2.93/3.18 ~$less(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) | ~spl6_19), 2.93/3.18 inference(AVATAR_component_clause,[],[f157])). 2.93/3.18 tff(f159,plain,( 2.93/3.18 ~spl6_19 | ~spl6_6), 2.93/3.18 inference(AVATAR_split_clause,[],[f151,f116,f157])). 2.93/3.18 tff(f161,plain,( 2.93/3.18 spl6_20 <=> ub(sK0,sK1,sK5(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_20])])). 2.93/3.18 tff(f162,plain,( 2.93/3.18 ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_20), 2.93/3.18 inference(AVATAR_component_clause,[],[f161])). 2.93/3.18 tff(f163,plain,( 2.93/3.18 spl6_20 | ~spl6_6), 2.93/3.18 inference(AVATAR_split_clause,[],[f152,f116,f161])). 2.93/3.18 tff(f164,plain,( 2.93/3.18 ~spl6_1 | spl6_7), 2.93/3.18 inference(AVATAR_split_clause,[],[f128,f87,f68])). 2.93/3.18 tff(f165,plain,( 2.93/3.18 spl6_10 | ~spl6_2), 2.93/3.18 inference(AVATAR_split_clause,[],[f124,f78,f97])). 2.93/3.18 tff(f166,plain,( 2.93/3.18 spl6_10 | ~spl6_2), 2.93/3.18 inference(AVATAR_split_clause,[],[f94,f78,f97])). 2.93/3.18 tff(f167,plain,( 2.93/3.18 ~model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_1), 2.93/3.18 inference(resolution,[],[f69,f60])). 2.93/3.18 tff(f168,plain,( 2.93/3.18 ~model_ub(sK0,sK1,sK2) | $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_1), 2.93/3.18 inference(resolution,[],[f69,f61])). 2.93/3.18 tff(f169,plain,( 2.93/3.18 spl6_4 | ~spl6_7 | spl6_1), 2.93/3.18 inference(AVATAR_split_clause,[],[f167,f68,f87,f84])). 2.93/3.18 tff(f170,plain,( 2.93/3.18 spl6_8 | ~spl6_7 | spl6_1), 2.93/3.18 inference(AVATAR_split_clause,[],[f168,f68,f87,f91])). 2.93/3.18 tff(f171,plain,( 2.93/3.18 model_max(sK0,sK1,sK2) | ~spl6_2), 2.93/3.18 inference(resolution,[],[f79,f54])). 2.93/3.18 tff(f172,plain,( 2.93/3.18 ( ! [X0:$int] : (~model_max(sK0,sK1,X0) | ~$less(X0,sK2)) ) | ~spl6_2), 2.93/3.18 inference(resolution,[],[f79,f55])). 2.93/3.18 tff(f173,plain,( 2.93/3.18 spl6_10 | ~spl6_2), 2.93/3.18 inference(AVATAR_split_clause,[],[f171,f78,f97])). 2.93/3.18 tff(f175,plain,( 2.93/3.18 ~minsol_model_ub(sK0,sK1,sK2) | ~spl6_7), 2.93/3.18 inference(resolution,[],[f88,f59])). 2.93/3.18 tff(f176,plain,( 2.93/3.18 ~$less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_10), 2.93/3.18 inference(resolution,[],[f98,f63])). 2.93/3.18 tff(f180,plain,( 2.93/3.18 ~spl6_17 | ~spl6_10), 2.93/3.18 inference(AVATAR_split_clause,[],[f176,f97,f134])). 2.93/3.18 tff(f181,plain,( 2.93/3.18 ~$less(sK2,sK2) | (~spl6_2 | ~spl6_10)), 2.93/3.18 inference(resolution,[],[f172,f98])). 2.93/3.18 tff(f186,plain,( 2.93/3.18 spl6_23 <=> ~$less(sK2,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_23])])). 2.93/3.18 tff(f187,plain,( 2.93/3.18 ~$less(sK2,sK2) | ~spl6_23), 2.93/3.18 inference(AVATAR_component_clause,[],[f186])). 2.93/3.18 tff(f188,plain,( 2.93/3.18 ~spl6_23 | ~spl6_2 | ~spl6_10), 2.93/3.18 inference(AVATAR_split_clause,[],[f181,f97,f78,f186])). 2.93/3.18 tff(f189,plain,( 2.93/3.18 ( ! [X0:$int] : (ub(X0,sK2,sK2) | $less(sK2,X0)) ) | ~spl6_23), 2.93/3.18 inference(resolution,[],[f187,f53])). 2.93/3.18 tff(f190,plain,( 2.93/3.18 ( ! [X1:$int] : (ub(sK2,X1,sK2) | $less(sK2,X1)) ) | ~spl6_23), 2.93/3.18 inference(resolution,[],[f187,f53])). 2.93/3.18 tff(f191,plain,( 2.93/3.18 ~$less(summation(sK2),summation(sK2)) | ~spl6_23), 2.93/3.18 inference(resolution,[],[f187,f50])). 2.93/3.18 tff(f192,plain,( 2.93/3.18 max(sK2,sK2) = sK2 | ~spl6_23), 2.93/3.18 inference(resolution,[],[f187,f48])). 2.93/3.18 tff(f193,plain,( 2.93/3.18 max(sK2,sK2) = sK2 | ~spl6_23), 2.93/3.18 inference(resolution,[],[f187,f47])). 2.93/3.18 tff(f195,plain,( 2.93/3.18 spl6_25 <=> ~$less(summation(sK2),summation(sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_25])])). 2.93/3.18 tff(f196,plain,( 2.93/3.18 ~$less(summation(sK2),summation(sK2)) | ~spl6_25), 2.93/3.18 inference(AVATAR_component_clause,[],[f195])). 2.93/3.18 tff(f197,plain,( 2.93/3.18 ~spl6_25 | spl6_23), 2.93/3.18 inference(AVATAR_split_clause,[],[f191,f186,f195])). 2.93/3.18 tff(f199,plain,( 2.93/3.18 spl6_26 <=> max(sK2,sK2) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_26])])). 2.93/3.18 tff(f200,plain,( 2.93/3.18 max(sK2,sK2) = sK2 | ~spl6_26), 2.93/3.18 inference(AVATAR_component_clause,[],[f199])). 2.93/3.18 tff(f201,plain,( 2.93/3.18 spl6_26 | spl6_23), 2.93/3.18 inference(AVATAR_split_clause,[],[f192,f186,f199])). 2.93/3.18 tff(f202,plain,( 2.93/3.18 spl6_26 | spl6_23), 2.93/3.18 inference(AVATAR_split_clause,[],[f193,f186,f199])). 2.93/3.18 tff(f209,plain,( 2.93/3.18 ~$less(summation(summation(sK2)),summation(summation(sK2))) | ~spl6_25), 2.93/3.18 inference(resolution,[],[f196,f50])). 2.93/3.18 tff(f210,plain,( 2.93/3.18 summation(sK2) = max(summation(sK2),summation(sK2)) | ~spl6_25), 2.93/3.18 inference(resolution,[],[f196,f48])). 2.93/3.18 tff(f211,plain,( 2.93/3.18 summation(sK2) = max(summation(sK2),summation(sK2)) | ~spl6_25), 2.93/3.18 inference(resolution,[],[f196,f47])). 2.93/3.18 tff(f213,plain,( 2.93/3.18 spl6_29 <=> ~$less(summation(summation(sK2)),summation(summation(sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_29])])). 2.93/3.18 tff(f214,plain,( 2.93/3.18 ~$less(summation(summation(sK2)),summation(summation(sK2))) | ~spl6_29), 2.93/3.18 inference(AVATAR_component_clause,[],[f213])). 2.93/3.18 tff(f215,plain,( 2.93/3.18 ~spl6_29 | spl6_25), 2.93/3.18 inference(AVATAR_split_clause,[],[f209,f195,f213])). 2.93/3.18 tff(f217,plain,( 2.93/3.18 spl6_30 <=> summation(sK2) = max(summation(sK2),summation(sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_30])])). 2.93/3.18 tff(f219,plain,( 2.93/3.18 spl6_30 | spl6_25), 2.93/3.18 inference(AVATAR_split_clause,[],[f210,f195,f217])). 2.93/3.18 tff(f220,plain,( 2.93/3.18 spl6_30 | spl6_25), 2.93/3.18 inference(AVATAR_split_clause,[],[f211,f195,f217])). 2.93/3.18 tff(f224,plain,( 2.93/3.18 model_max(sK0,sK1,sK2) | ~spl6_17), 2.93/3.18 inference(resolution,[],[f135,f62])). 2.93/3.18 tff(f228,plain,( 2.93/3.18 ~$less(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_17), 2.93/3.18 inference(resolution,[],[f135,f50])). 2.93/3.18 tff(f229,plain,( 2.93/3.18 max(sK2,$sum(c,summation(max(sK0,sK1)))) = sK2 | ~spl6_17), 2.93/3.18 inference(resolution,[],[f135,f48])). 2.93/3.18 tff(f230,plain,( 2.93/3.18 max($sum(c,summation(max(sK0,sK1))),sK2) = sK2 | ~spl6_17), 2.93/3.18 inference(resolution,[],[f135,f47])). 2.93/3.18 tff(f231,plain,( 2.93/3.18 ~$less(sK2,$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_17), 2.93/3.18 inference(superposition,[],[f135,f48])). 2.93/3.18 tff(f232,plain,( 2.93/3.18 ~$less(sK2,$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_17), 2.93/3.18 inference(superposition,[],[f135,f47])). 2.93/3.18 tff(f234,plain,( 2.93/3.18 spl6_33 <=> ~$less(summation(sK2),summation($sum(c,summation(max(sK0,sK1)))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_33])])). 2.93/3.18 tff(f235,plain,( 2.93/3.18 ~$less(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_33), 2.93/3.18 inference(AVATAR_component_clause,[],[f234])). 2.93/3.18 tff(f236,plain,( 2.93/3.18 ~spl6_33 | spl6_17), 2.93/3.18 inference(AVATAR_split_clause,[],[f228,f134,f234])). 2.93/3.18 tff(f238,plain,( 2.93/3.18 spl6_34 <=> max(sK2,$sum(c,summation(max(sK0,sK1)))) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_34])])). 2.93/3.18 tff(f239,plain,( 2.93/3.18 max(sK2,$sum(c,summation(max(sK0,sK1)))) = sK2 | ~spl6_34), 2.93/3.18 inference(AVATAR_component_clause,[],[f238])). 2.93/3.18 tff(f240,plain,( 2.93/3.18 spl6_34 | spl6_17), 2.93/3.18 inference(AVATAR_split_clause,[],[f229,f134,f238])). 2.93/3.18 tff(f242,plain,( 2.93/3.18 spl6_36 <=> max($sum(c,summation(max(sK0,sK1))),sK2) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_36])])). 2.93/3.18 tff(f243,plain,( 2.93/3.18 max($sum(c,summation(max(sK0,sK1))),sK2) = sK2 | ~spl6_36), 2.93/3.18 inference(AVATAR_component_clause,[],[f242])). 2.93/3.18 tff(f244,plain,( 2.93/3.18 spl6_36 | spl6_17), 2.93/3.18 inference(AVATAR_split_clause,[],[f230,f134,f242])). 2.93/3.18 tff(f246,plain,( 2.93/3.18 spl6_38 <=> $less(sK0,sK1)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_38])])). 2.93/3.18 tff(f247,plain,( 2.93/3.18 $less(sK0,sK1) | ~spl6_38), 2.93/3.18 inference(AVATAR_component_clause,[],[f246])). 2.93/3.18 tff(f249,plain,( 2.93/3.18 spl6_41 <=> ~$less(sK2,$sum(c,summation(sK0)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_41])])). 2.93/3.18 tff(f250,plain,( 2.93/3.18 ~$less(sK2,$sum(c,summation(sK0))) | ~spl6_41), 2.93/3.18 inference(AVATAR_component_clause,[],[f249])). 2.93/3.18 tff(f251,plain,( 2.93/3.18 spl6_38 | ~spl6_41 | spl6_17), 2.93/3.18 inference(AVATAR_split_clause,[],[f231,f134,f249,f246])). 2.93/3.18 tff(f253,plain,( 2.93/3.18 spl6_42 <=> $less(sK1,sK0)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_42])])). 2.93/3.18 tff(f254,plain,( 2.93/3.18 $less(sK1,sK0) | ~spl6_42), 2.93/3.18 inference(AVATAR_component_clause,[],[f253])). 2.93/3.18 tff(f256,plain,( 2.93/3.18 spl6_45 <=> ~$less(sK2,$sum(c,summation(sK1)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_45])])). 2.93/3.18 tff(f257,plain,( 2.93/3.18 ~$less(sK2,$sum(c,summation(sK1))) | ~spl6_45), 2.93/3.18 inference(AVATAR_component_clause,[],[f256])). 2.93/3.18 tff(f258,plain,( 2.93/3.18 spl6_42 | ~spl6_45 | spl6_17), 2.93/3.18 inference(AVATAR_split_clause,[],[f232,f134,f256,f253])). 2.93/3.18 tff(f259,plain,( 2.93/3.18 ~spl6_3 | spl6_11), 2.93/3.18 inference(AVATAR_split_clause,[],[f146,f103,f71])). 2.93/3.18 tff(f260,plain,( 2.93/3.18 spl6_6 | ~spl6_0), 2.93/3.18 inference(AVATAR_split_clause,[],[f143,f75,f116])). 2.93/3.18 tff(f261,plain,( 2.93/3.18 spl6_6 | ~spl6_0), 2.93/3.18 inference(AVATAR_split_clause,[],[f114,f75,f116])). 2.93/3.18 tff(f262,plain,( 2.93/3.18 model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~model_max(sK0,sK1,sK2) | ~spl6_3), 2.93/3.18 inference(resolution,[],[f72,f56])). 2.93/3.18 tff(f263,plain,( 2.93/3.18 $less(sK3(sK0,sK1,sK2),sK2) | ~model_max(sK0,sK1,sK2) | ~spl6_3), 2.93/3.18 inference(resolution,[],[f72,f57])). 2.93/3.18 tff(f264,plain,( 2.93/3.18 ~spl6_11 | spl6_12 | spl6_3), 2.93/3.18 inference(AVATAR_split_clause,[],[f262,f71,f106,f103])). 2.93/3.18 tff(f265,plain,( 2.93/3.18 ~spl6_11 | spl6_14 | spl6_3), 2.93/3.18 inference(AVATAR_split_clause,[],[f263,f71,f110,f103])). 2.93/3.18 tff(f267,plain,( 2.93/3.18 model_ub(sK0,sK1,sK2) | ~spl6_0), 2.93/3.18 inference(resolution,[],[f76,f59])). 2.93/3.18 tff(f268,plain,( 2.93/3.18 spl6_6 | ~spl6_0), 2.93/3.18 inference(AVATAR_split_clause,[],[f267,f75,f116])). 2.93/3.18 tff(f269,plain,( 2.93/3.18 $less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_11), 2.93/3.18 inference(resolution,[],[f104,f62])). 2.93/3.18 tff(f270,plain,( 2.93/3.18 ~minsol_model_max(sK0,sK1,sK2) | ~spl6_11), 2.93/3.18 inference(resolution,[],[f104,f54])). 2.93/3.18 tff(f271,plain,( 2.93/3.18 spl6_16 | spl6_11), 2.93/3.18 inference(AVATAR_split_clause,[],[f269,f103,f148])). 2.93/3.18 tff(f272,plain,( 2.93/3.18 ~$less(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) | ~spl6_6), 2.93/3.18 inference(resolution,[],[f117,f65])). 2.93/3.18 tff(f273,plain,( 2.93/3.18 ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_6), 2.93/3.18 inference(resolution,[],[f117,f66])). 2.93/3.18 tff(f277,plain,( 2.93/3.18 ~spl6_19 | ~spl6_6), 2.93/3.18 inference(AVATAR_split_clause,[],[f272,f116,f157])). 2.93/3.18 tff(f278,plain,( 2.93/3.18 spl6_20 | ~spl6_6), 2.93/3.18 inference(AVATAR_split_clause,[],[f273,f116,f161])). 2.93/3.18 tff(f284,plain,( 2.93/3.18 ~$less(sK5(sK0,sK1,sK2),sK1) | ~spl6_20), 2.93/3.18 inference(resolution,[],[f162,f51])). 2.93/3.18 tff(f285,plain,( 2.93/3.18 ~$less(sK5(sK0,sK1,sK2),sK0) | ~spl6_20), 2.93/3.18 inference(resolution,[],[f162,f52])). 2.93/3.18 tff(f287,plain,( 2.93/3.18 spl6_47 <=> ~$less(sK5(sK0,sK1,sK2),sK1)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_47])])). 2.93/3.18 tff(f288,plain,( 2.93/3.18 ~$less(sK5(sK0,sK1,sK2),sK1) | ~spl6_47), 2.93/3.18 inference(AVATAR_component_clause,[],[f287])). 2.93/3.18 tff(f289,plain,( 2.93/3.18 ~spl6_47 | ~spl6_20), 2.93/3.18 inference(AVATAR_split_clause,[],[f284,f161,f287])). 2.93/3.18 tff(f291,plain,( 2.93/3.18 spl6_49 <=> ~$less(sK5(sK0,sK1,sK2),sK0)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_49])])). 2.93/3.18 tff(f292,plain,( 2.93/3.18 ~$less(sK5(sK0,sK1,sK2),sK0) | ~spl6_49), 2.93/3.18 inference(AVATAR_component_clause,[],[f291])). 2.93/3.18 tff(f293,plain,( 2.93/3.18 ~spl6_49 | ~spl6_20), 2.93/3.18 inference(AVATAR_split_clause,[],[f285,f161,f291])). 2.93/3.18 tff(f294,plain,( 2.93/3.18 ( ! [X0:$int] : (model_max(sK2,sK2,X0) | $less(X0,$sum(c,summation(sK2)))) ) | ~spl6_26), 2.93/3.18 inference(superposition,[],[f62,f200])). 2.93/3.18 tff(f304,plain,( 2.93/3.18 ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK1)) | ~spl6_47), 2.93/3.18 inference(resolution,[],[f288,f50])). 2.93/3.18 tff(f305,plain,( 2.93/3.18 max(sK5(sK0,sK1,sK2),sK1) = sK5(sK0,sK1,sK2) | ~spl6_47), 2.93/3.18 inference(resolution,[],[f288,f48])). 2.93/3.18 tff(f306,plain,( 2.93/3.18 max(sK1,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) | ~spl6_47), 2.93/3.18 inference(resolution,[],[f288,f47])). 2.93/3.18 tff(f308,plain,( 2.93/3.18 spl6_51 <=> ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK1))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_51])])). 2.93/3.18 tff(f309,plain,( 2.93/3.18 ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK1)) | ~spl6_51), 2.93/3.18 inference(AVATAR_component_clause,[],[f308])). 2.93/3.18 tff(f310,plain,( 2.93/3.18 ~spl6_51 | spl6_47), 2.93/3.18 inference(AVATAR_split_clause,[],[f304,f287,f308])). 2.93/3.18 tff(f312,plain,( 2.93/3.18 spl6_52 <=> max(sK5(sK0,sK1,sK2),sK1) = sK5(sK0,sK1,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_52])])). 2.93/3.18 tff(f313,plain,( 2.93/3.18 max(sK5(sK0,sK1,sK2),sK1) = sK5(sK0,sK1,sK2) | ~spl6_52), 2.93/3.18 inference(AVATAR_component_clause,[],[f312])). 2.93/3.18 tff(f314,plain,( 2.93/3.18 spl6_52 | spl6_47), 2.93/3.18 inference(AVATAR_split_clause,[],[f305,f287,f312])). 2.93/3.18 tff(f316,plain,( 2.93/3.18 spl6_54 <=> max(sK1,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_54])])). 2.93/3.18 tff(f317,plain,( 2.93/3.18 max(sK1,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) | ~spl6_54), 2.93/3.18 inference(AVATAR_component_clause,[],[f316])). 2.93/3.18 tff(f318,plain,( 2.93/3.18 spl6_54 | spl6_47), 2.93/3.18 inference(AVATAR_split_clause,[],[f306,f287,f316])). 2.93/3.18 tff(f319,plain,( 2.93/3.18 spl6_10 | spl6_17), 2.93/3.18 inference(AVATAR_split_clause,[],[f224,f134,f97])). 2.93/3.18 tff(f320,plain,( 2.93/3.18 ~spl6_1 | spl6_7), 2.93/3.18 inference(AVATAR_split_clause,[],[f175,f87,f68])). 2.93/3.18 tff(f321,plain,( 2.93/3.18 ~spl6_1 | spl6_7), 2.93/3.18 inference(AVATAR_split_clause,[],[f128,f87,f68])). 2.93/3.18 tff(f322,plain,( 2.93/3.18 spl6_10 | ~spl6_2), 2.93/3.18 inference(AVATAR_split_clause,[],[f171,f78,f97])). 2.93/3.18 tff(f323,plain,( 2.93/3.18 spl6_10 | ~spl6_2), 2.93/3.18 inference(AVATAR_split_clause,[],[f124,f78,f97])). 2.93/3.18 tff(f324,plain,( 2.93/3.18 spl6_10 | ~spl6_2), 2.93/3.18 inference(AVATAR_split_clause,[],[f94,f78,f97])). 2.93/3.18 tff(f325,plain,( 2.93/3.18 ~model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_1), 2.93/3.18 inference(resolution,[],[f69,f60])). 2.93/3.18 tff(f326,plain,( 2.93/3.18 ~model_ub(sK0,sK1,sK2) | $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_1), 2.93/3.18 inference(resolution,[],[f69,f61])). 2.93/3.18 tff(f327,plain,( 2.93/3.18 spl6_4 | ~spl6_7 | spl6_1), 2.93/3.18 inference(AVATAR_split_clause,[],[f325,f68,f87,f84])). 2.93/3.18 tff(f328,plain,( 2.93/3.18 spl6_8 | ~spl6_7 | spl6_1), 2.93/3.18 inference(AVATAR_split_clause,[],[f326,f68,f87,f91])). 2.93/3.18 tff(f329,plain,( 2.93/3.18 model_max(sK0,sK1,sK2) | ~spl6_2), 2.93/3.18 inference(resolution,[],[f79,f54])). 2.93/3.18 tff(f331,plain,( 2.93/3.18 spl6_10 | ~spl6_2), 2.93/3.18 inference(AVATAR_split_clause,[],[f329,f78,f97])). 2.93/3.18 tff(f336,plain,( 2.93/3.18 $less(summation(sK0),summation(sK1)) | ~spl6_38), 2.93/3.18 inference(resolution,[],[f247,f49])). 2.93/3.18 tff(f338,plain,( 2.93/3.18 spl6_56 <=> $less(summation(sK0),summation(sK1))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_56])])). 2.93/3.18 tff(f339,plain,( 2.93/3.18 $less(summation(sK0),summation(sK1)) | ~spl6_56), 2.93/3.18 inference(AVATAR_component_clause,[],[f338])). 2.93/3.18 tff(f340,plain,( 2.93/3.18 spl6_56 | ~spl6_38), 2.93/3.18 inference(AVATAR_split_clause,[],[f336,f246,f338])). 2.93/3.18 tff(f341,plain,( 2.93/3.18 ~spl6_47 | ~spl6_20), 2.93/3.18 inference(AVATAR_split_clause,[],[f284,f161,f287])). 2.93/3.18 tff(f342,plain,( 2.93/3.18 ~spl6_49 | ~spl6_20), 2.93/3.18 inference(AVATAR_split_clause,[],[f285,f161,f291])). 2.93/3.18 tff(f343,plain,( 2.93/3.18 ~spl6_3 | spl6_11), 2.93/3.18 inference(AVATAR_split_clause,[],[f270,f103,f71])). 2.93/3.18 tff(f344,plain,( 2.93/3.18 ~spl6_3 | spl6_11), 2.93/3.18 inference(AVATAR_split_clause,[],[f146,f103,f71])). 2.93/3.18 tff(f345,plain,( 2.93/3.18 spl6_6 | ~spl6_0), 2.93/3.18 inference(AVATAR_split_clause,[],[f267,f75,f116])). 2.93/3.18 tff(f346,plain,( 2.93/3.18 spl6_6 | ~spl6_0), 2.93/3.18 inference(AVATAR_split_clause,[],[f143,f75,f116])). 2.93/3.18 tff(f347,plain,( 2.93/3.18 spl6_6 | ~spl6_0), 2.93/3.18 inference(AVATAR_split_clause,[],[f114,f75,f116])). 2.93/3.18 tff(f348,plain,( 2.93/3.18 model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~model_max(sK0,sK1,sK2) | ~spl6_3), 2.93/3.18 inference(resolution,[],[f72,f56])). 2.93/3.18 tff(f349,plain,( 2.93/3.18 $less(sK3(sK0,sK1,sK2),sK2) | ~model_max(sK0,sK1,sK2) | ~spl6_3), 2.93/3.18 inference(resolution,[],[f72,f57])). 2.93/3.18 tff(f350,plain,( 2.93/3.18 ~spl6_11 | spl6_12 | spl6_3), 2.93/3.18 inference(AVATAR_split_clause,[],[f348,f71,f106,f103])). 2.93/3.18 tff(f351,plain,( 2.93/3.18 ~spl6_11 | spl6_14 | spl6_3), 2.93/3.18 inference(AVATAR_split_clause,[],[f349,f71,f110,f103])). 2.93/3.18 tff(f353,plain,( 2.93/3.18 model_ub(sK0,sK1,sK2) | ~spl6_0), 2.93/3.18 inference(resolution,[],[f76,f59])). 2.93/3.18 tff(f354,plain,( 2.93/3.18 spl6_6 | ~spl6_0), 2.93/3.18 inference(AVATAR_split_clause,[],[f353,f75,f116])). 2.93/3.18 tff(f355,plain,( 2.93/3.18 $less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_11), 2.93/3.18 inference(resolution,[],[f104,f62])). 2.93/3.18 tff(f357,plain,( 2.93/3.18 spl6_16 | spl6_11), 2.93/3.18 inference(AVATAR_split_clause,[],[f355,f103,f148])). 2.93/3.18 tff(f358,plain,( 2.93/3.18 ~$less(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) | ~spl6_6), 2.93/3.18 inference(resolution,[],[f117,f65])). 2.93/3.18 tff(f359,plain,( 2.93/3.18 ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_6), 2.93/3.18 inference(resolution,[],[f117,f66])). 2.93/3.18 tff(f363,plain,( 2.93/3.18 ~spl6_19 | ~spl6_6), 2.93/3.18 inference(AVATAR_split_clause,[],[f358,f116,f157])). 2.93/3.18 tff(f364,plain,( 2.93/3.18 spl6_20 | ~spl6_6), 2.93/3.18 inference(AVATAR_split_clause,[],[f359,f116,f161])). 2.93/3.18 tff(f372,plain,( 2.93/3.18 ~$less(summation(sK2),summation($sum(c,summation(sK1)))) | ~spl6_45), 2.93/3.18 inference(resolution,[],[f257,f50])). 2.93/3.18 tff(f373,plain,( 2.93/3.18 max(sK2,$sum(c,summation(sK1))) = sK2 | ~spl6_45), 2.93/3.18 inference(resolution,[],[f257,f48])). 2.93/3.18 tff(f374,plain,( 2.93/3.18 max($sum(c,summation(sK1)),sK2) = sK2 | ~spl6_45), 2.93/3.18 inference(resolution,[],[f257,f47])). 2.93/3.18 tff(f376,plain,( 2.93/3.18 spl6_59 <=> ~$less(summation(sK2),summation($sum(c,summation(sK1))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_59])])). 2.93/3.18 tff(f377,plain,( 2.93/3.18 ~$less(summation(sK2),summation($sum(c,summation(sK1)))) | ~spl6_59), 2.93/3.18 inference(AVATAR_component_clause,[],[f376])). 2.93/3.18 tff(f378,plain,( 2.93/3.18 ~spl6_59 | spl6_45), 2.93/3.18 inference(AVATAR_split_clause,[],[f372,f256,f376])). 2.93/3.18 tff(f380,plain,( 2.93/3.18 spl6_60 <=> max(sK2,$sum(c,summation(sK1))) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_60])])). 2.93/3.18 tff(f381,plain,( 2.93/3.18 max(sK2,$sum(c,summation(sK1))) = sK2 | ~spl6_60), 2.93/3.18 inference(AVATAR_component_clause,[],[f380])). 2.93/3.18 tff(f382,plain,( 2.93/3.18 spl6_60 | spl6_45), 2.93/3.18 inference(AVATAR_split_clause,[],[f373,f256,f380])). 2.93/3.18 tff(f384,plain,( 2.93/3.18 spl6_62 <=> max($sum(c,summation(sK1)),sK2) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_62])])). 2.93/3.18 tff(f386,plain,( 2.93/3.18 spl6_62 | spl6_45), 2.93/3.18 inference(AVATAR_split_clause,[],[f374,f256,f384])). 2.93/3.18 tff(f388,plain,( 2.93/3.18 ~$less(sK5(sK0,sK1,sK2),sK1) | ~spl6_20), 2.93/3.18 inference(resolution,[],[f162,f51])). 2.93/3.18 tff(f389,plain,( 2.93/3.18 ~$less(sK5(sK0,sK1,sK2),sK0) | ~spl6_20), 2.93/3.18 inference(resolution,[],[f162,f52])). 2.93/3.18 tff(f390,plain,( 2.93/3.18 ~spl6_47 | ~spl6_20), 2.93/3.18 inference(AVATAR_split_clause,[],[f388,f161,f287])). 2.93/3.18 tff(f391,plain,( 2.93/3.18 ~spl6_49 | ~spl6_20), 2.93/3.18 inference(AVATAR_split_clause,[],[f389,f161,f291])). 2.93/3.18 tff(f397,plain,( 2.93/3.18 ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK1)) | ~spl6_47), 2.93/3.18 inference(resolution,[],[f288,f50])). 2.93/3.18 tff(f398,plain,( 2.93/3.18 max(sK5(sK0,sK1,sK2),sK1) = sK5(sK0,sK1,sK2) | ~spl6_47), 2.93/3.18 inference(resolution,[],[f288,f48])). 2.93/3.18 tff(f399,plain,( 2.93/3.18 max(sK1,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) | ~spl6_47), 2.93/3.18 inference(resolution,[],[f288,f47])). 2.93/3.18 tff(f400,plain,( 2.93/3.18 ~spl6_51 | spl6_47), 2.93/3.18 inference(AVATAR_split_clause,[],[f397,f287,f308])). 2.93/3.18 tff(f401,plain,( 2.93/3.18 spl6_52 | spl6_47), 2.93/3.18 inference(AVATAR_split_clause,[],[f398,f287,f312])). 2.93/3.18 tff(f402,plain,( 2.93/3.18 spl6_54 | spl6_47), 2.93/3.18 inference(AVATAR_split_clause,[],[f399,f287,f316])). 2.93/3.18 tff(f411,plain,( 2.93/3.18 $less(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_16), 2.93/3.18 inference(resolution,[],[f149,f49])). 2.93/3.18 tff(f412,plain,( 2.93/3.18 $less(sK2,$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_16), 2.93/3.18 inference(superposition,[],[f149,f48])). 2.93/3.18 tff(f413,plain,( 2.93/3.18 $less(sK2,$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_16), 2.93/3.18 inference(superposition,[],[f149,f47])). 2.93/3.18 tff(f415,plain,( 2.93/3.18 spl6_32 <=> $less(summation(sK2),summation($sum(c,summation(max(sK0,sK1)))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_32])])). 2.93/3.18 tff(f417,plain,( 2.93/3.18 spl6_32 | ~spl6_16), 2.93/3.18 inference(AVATAR_split_clause,[],[f411,f148,f415])). 2.93/3.18 tff(f419,plain,( 2.93/3.18 spl6_40 <=> $less(sK2,$sum(c,summation(sK0)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_40])])). 2.93/3.18 tff(f421,plain,( 2.93/3.18 spl6_38 | spl6_40 | ~spl6_16), 2.93/3.18 inference(AVATAR_split_clause,[],[f412,f148,f419,f246])). 2.93/3.18 tff(f423,plain,( 2.93/3.18 spl6_44 <=> $less(sK2,$sum(c,summation(sK1)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_44])])). 2.93/3.18 tff(f425,plain,( 2.93/3.18 spl6_42 | spl6_44 | ~spl6_16), 2.93/3.18 inference(AVATAR_split_clause,[],[f413,f148,f423,f253])). 2.93/3.18 tff(f430,plain,( 2.93/3.18 $less(summation(sK1),summation(sK0)) | ~spl6_42), 2.93/3.18 inference(resolution,[],[f254,f49])). 2.93/3.18 tff(f432,plain,( 2.93/3.18 spl6_64 <=> $less(summation(sK1),summation(sK0))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_64])])). 2.93/3.18 tff(f433,plain,( 2.93/3.18 $less(summation(sK1),summation(sK0)) | ~spl6_64), 2.93/3.18 inference(AVATAR_component_clause,[],[f432])). 2.93/3.18 tff(f434,plain,( 2.93/3.18 spl6_64 | ~spl6_42), 2.93/3.18 inference(AVATAR_split_clause,[],[f430,f253,f432])). 2.93/3.18 tff(f438,plain,( 2.93/3.18 ~$less(summation(sK2),summation($sum(c,summation(sK5(sK0,sK1,sK2))))) | ~spl6_19), 2.93/3.18 inference(resolution,[],[f158,f50])). 2.93/3.18 tff(f439,plain,( 2.93/3.18 max(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) = sK2 | ~spl6_19), 2.93/3.18 inference(resolution,[],[f158,f48])). 2.93/3.18 tff(f440,plain,( 2.93/3.18 max($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) = sK2 | ~spl6_19), 2.93/3.18 inference(resolution,[],[f158,f47])). 2.93/3.18 tff(f442,plain,( 2.93/3.18 spl6_67 <=> ~$less(summation(sK2),summation($sum(c,summation(sK5(sK0,sK1,sK2)))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_67])])). 2.93/3.18 tff(f443,plain,( 2.93/3.18 ~$less(summation(sK2),summation($sum(c,summation(sK5(sK0,sK1,sK2))))) | ~spl6_67), 2.93/3.18 inference(AVATAR_component_clause,[],[f442])). 2.93/3.18 tff(f444,plain,( 2.93/3.18 ~spl6_67 | spl6_19), 2.93/3.18 inference(AVATAR_split_clause,[],[f438,f157,f442])). 2.93/3.18 tff(f446,plain,( 2.93/3.18 spl6_68 <=> max(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_68])])). 2.93/3.18 tff(f447,plain,( 2.93/3.18 max(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) = sK2 | ~spl6_68), 2.93/3.18 inference(AVATAR_component_clause,[],[f446])). 2.93/3.18 tff(f448,plain,( 2.93/3.18 spl6_68 | spl6_19), 2.93/3.18 inference(AVATAR_split_clause,[],[f439,f157,f446])). 2.93/3.18 tff(f450,plain,( 2.93/3.18 spl6_70 <=> max($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_70])])). 2.93/3.18 tff(f451,plain,( 2.93/3.18 max($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) = sK2 | ~spl6_70), 2.93/3.18 inference(AVATAR_component_clause,[],[f450])). 2.93/3.18 tff(f452,plain,( 2.93/3.18 spl6_70 | spl6_19), 2.93/3.18 inference(AVATAR_split_clause,[],[f440,f157,f450])). 2.93/3.18 tff(f463,plain,( 2.93/3.18 ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK0)) | ~spl6_49), 2.93/3.18 inference(resolution,[],[f292,f50])). 2.93/3.18 tff(f464,plain,( 2.93/3.18 max(sK5(sK0,sK1,sK2),sK0) = sK5(sK0,sK1,sK2) | ~spl6_49), 2.93/3.18 inference(resolution,[],[f292,f48])). 2.93/3.18 tff(f465,plain,( 2.93/3.18 max(sK0,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) | ~spl6_49), 2.93/3.18 inference(resolution,[],[f292,f47])). 2.93/3.18 tff(f467,plain,( 2.93/3.18 spl6_73 <=> ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK0))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_73])])). 2.93/3.18 tff(f468,plain,( 2.93/3.18 ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK0)) | ~spl6_73), 2.93/3.18 inference(AVATAR_component_clause,[],[f467])). 2.93/3.18 tff(f469,plain,( 2.93/3.18 ~spl6_73 | spl6_49), 2.93/3.18 inference(AVATAR_split_clause,[],[f463,f291,f467])). 2.93/3.18 tff(f471,plain,( 2.93/3.18 spl6_74 <=> max(sK5(sK0,sK1,sK2),sK0) = sK5(sK0,sK1,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_74])])). 2.93/3.18 tff(f472,plain,( 2.93/3.18 max(sK5(sK0,sK1,sK2),sK0) = sK5(sK0,sK1,sK2) | ~spl6_74), 2.93/3.18 inference(AVATAR_component_clause,[],[f471])). 2.93/3.18 tff(f473,plain,( 2.93/3.18 spl6_74 | spl6_49), 2.93/3.18 inference(AVATAR_split_clause,[],[f464,f291,f471])). 2.93/3.18 tff(f475,plain,( 2.93/3.18 spl6_76 <=> max(sK0,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_76])])). 2.93/3.18 tff(f477,plain,( 2.93/3.18 spl6_76 | spl6_49), 2.93/3.18 inference(AVATAR_split_clause,[],[f465,f291,f475])). 2.93/3.18 tff(f478,plain,( 2.93/3.18 spl6_10 | spl6_17), 2.93/3.18 inference(AVATAR_split_clause,[],[f224,f134,f97])). 2.93/3.18 tff(f479,plain,( 2.93/3.18 ~spl6_1 | spl6_7), 2.93/3.18 inference(AVATAR_split_clause,[],[f175,f87,f68])). 2.93/3.18 tff(f480,plain,( 2.93/3.18 ~spl6_1 | spl6_7), 2.93/3.18 inference(AVATAR_split_clause,[],[f128,f87,f68])). 2.93/3.18 tff(f481,plain,( 2.93/3.18 spl6_10 | ~spl6_2), 2.93/3.18 inference(AVATAR_split_clause,[],[f329,f78,f97])). 2.93/3.18 tff(f482,plain,( 2.93/3.18 spl6_10 | ~spl6_2), 2.93/3.18 inference(AVATAR_split_clause,[],[f171,f78,f97])). 2.93/3.18 tff(f483,plain,( 2.93/3.18 spl6_10 | ~spl6_2), 2.93/3.18 inference(AVATAR_split_clause,[],[f124,f78,f97])). 2.93/3.18 tff(f484,plain,( 2.93/3.18 spl6_10 | ~spl6_2), 2.93/3.18 inference(AVATAR_split_clause,[],[f94,f78,f97])). 2.93/3.18 tff(f485,plain,( 2.93/3.18 ~model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_1), 2.93/3.18 inference(resolution,[],[f69,f60])). 2.93/3.18 tff(f486,plain,( 2.93/3.18 ~model_ub(sK0,sK1,sK2) | $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_1), 2.93/3.18 inference(resolution,[],[f69,f61])). 2.93/3.18 tff(f487,plain,( 2.93/3.18 spl6_4 | ~spl6_7 | spl6_1), 2.93/3.18 inference(AVATAR_split_clause,[],[f485,f68,f87,f84])). 2.93/3.18 tff(f488,plain,( 2.93/3.18 spl6_8 | ~spl6_7 | spl6_1), 2.93/3.18 inference(AVATAR_split_clause,[],[f486,f68,f87,f91])). 2.93/3.18 tff(f489,plain,( 2.93/3.18 model_max(sK0,sK1,sK2) | ~spl6_2), 2.93/3.18 inference(resolution,[],[f79,f54])). 2.93/3.18 tff(f490,plain,( 2.93/3.18 ( ! [X0:$int] : (~model_max(sK0,sK1,X0) | ~$less(X0,sK2)) ) | ~spl6_2), 2.93/3.18 inference(resolution,[],[f79,f55])). 2.93/3.18 tff(f491,plain,( 2.93/3.18 spl6_10 | ~spl6_2), 2.93/3.18 inference(AVATAR_split_clause,[],[f489,f78,f97])). 2.93/3.18 tff(f492,plain,( 2.93/3.18 ( ! [X0:$int] : (~ub(sK0,sK1,X0) | $less(sK2,$sum(c,summation(X0)))) ) | ~spl6_7), 2.93/3.18 inference(resolution,[],[f88,f64])). 2.93/3.18 tff(f493,plain,( 2.93/3.18 ~minsol_model_ub(sK0,sK1,sK2) | ~spl6_7), 2.93/3.18 inference(resolution,[],[f88,f59])). 2.93/3.18 tff(f494,plain,( 2.93/3.18 ~$less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_10), 2.93/3.18 inference(resolution,[],[f98,f63])). 2.93/3.18 tff(f495,plain,( 2.93/3.18 ( ! [X0:$int] : (~minsol_model_max(sK0,sK1,X0) | ~$less(sK2,X0)) ) | ~spl6_10), 2.93/3.18 inference(resolution,[],[f98,f55])). 2.93/3.18 tff(f496,plain,( 2.93/3.18 minsol_model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_10), 2.93/3.18 inference(resolution,[],[f98,f56])). 2.93/3.18 tff(f497,plain,( 2.93/3.18 minsol_model_max(sK0,sK1,sK2) | $less(sK3(sK0,sK1,sK2),sK2) | ~spl6_10), 2.93/3.18 inference(resolution,[],[f98,f57])). 2.93/3.18 tff(f498,plain,( 2.93/3.18 ~spl6_17 | ~spl6_10), 2.93/3.18 inference(AVATAR_split_clause,[],[f494,f97,f134])). 2.93/3.18 tff(f501,plain,( 2.93/3.18 ( ! [X1:$int] : (~$less(X1,sK2) | $less(X1,$sum(c,summation(max(sK0,sK1))))) ) | ~spl6_2), 2.93/3.18 inference(resolution,[],[f490,f62])). 2.93/3.18 tff(f504,plain,( 2.93/3.18 ( ! [X0:$int] : (~model_max(sK0,sK1,X0) | model_max(sK0,sK1,sK3(sK0,sK1,X0)) | ~$less(sK2,X0)) ) | ~spl6_10), 2.93/3.18 inference(resolution,[],[f495,f56])). 2.93/3.18 tff(f505,plain,( 2.93/3.18 ( ! [X1:$int] : (~model_max(sK0,sK1,X1) | $less(sK3(sK0,sK1,X1),X1) | ~$less(sK2,X1)) ) | ~spl6_10), 2.93/3.18 inference(resolution,[],[f495,f57])). 2.93/3.18 tff(f511,plain,( 2.93/3.18 ( ! [X0:$int,X1:$int] : (~ub(X0,X1,max(sK0,sK1)) | model_ub(X0,X1,sK2)) ) | ~spl6_17), 2.93/3.18 inference(resolution,[],[f135,f64])). 2.93/3.18 tff(f512,plain,( 2.93/3.18 ( ! [X2:$int] : (ub(X2,$sum(c,summation(max(sK0,sK1))),sK2) | $less(sK2,X2)) ) | ~spl6_17), 2.93/3.18 inference(resolution,[],[f135,f53])). 2.93/3.18 tff(f513,plain,( 2.93/3.18 ( ! [X3:$int] : (ub($sum(c,summation(max(sK0,sK1))),X3,sK2) | $less(sK2,X3)) ) | ~spl6_17), 2.93/3.18 inference(resolution,[],[f135,f53])). 2.93/3.18 tff(f514,plain,( 2.93/3.18 ~$less(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_17), 2.93/3.18 inference(resolution,[],[f135,f50])). 2.93/3.18 tff(f515,plain,( 2.93/3.18 max(sK2,$sum(c,summation(max(sK0,sK1)))) = sK2 | ~spl6_17), 2.93/3.18 inference(resolution,[],[f135,f48])). 2.93/3.18 tff(f516,plain,( 2.93/3.18 max($sum(c,summation(max(sK0,sK1))),sK2) = sK2 | ~spl6_17), 2.93/3.18 inference(resolution,[],[f135,f47])). 2.93/3.18 tff(f517,plain,( 2.93/3.18 ~$less(sK2,$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_17), 2.93/3.18 inference(superposition,[],[f135,f48])). 2.93/3.18 tff(f519,plain,( 2.93/3.18 ~spl6_33 | spl6_17), 2.93/3.18 inference(AVATAR_split_clause,[],[f514,f134,f234])). 2.93/3.18 tff(f520,plain,( 2.93/3.18 spl6_34 | spl6_17), 2.93/3.18 inference(AVATAR_split_clause,[],[f515,f134,f238])). 2.93/3.18 tff(f521,plain,( 2.93/3.18 spl6_36 | spl6_17), 2.93/3.18 inference(AVATAR_split_clause,[],[f516,f134,f242])). 2.93/3.18 tff(f522,plain,( 2.93/3.18 spl6_38 | ~spl6_41 | spl6_17), 2.93/3.18 inference(AVATAR_split_clause,[],[f517,f134,f249,f246])). 2.93/3.18 tff(f523,plain,( 2.93/3.18 $less(sK1,sK0) | ~spl6_64), 2.93/3.18 inference(resolution,[],[f433,f50])). 2.93/3.18 tff(f528,plain,( 2.93/3.18 $less(summation(summation(sK1)),summation(summation(sK0))) | ~spl6_64), 2.93/3.18 inference(resolution,[],[f433,f49])). 2.93/3.18 tff(f530,plain,( 2.93/3.18 spl6_78 <=> $less(summation(summation(sK1)),summation(summation(sK0)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_78])])). 2.93/3.18 tff(f531,plain,( 2.93/3.18 $less(summation(summation(sK1)),summation(summation(sK0))) | ~spl6_78), 2.93/3.18 inference(AVATAR_component_clause,[],[f530])). 2.93/3.18 tff(f532,plain,( 2.93/3.18 spl6_78 | ~spl6_64), 2.93/3.18 inference(AVATAR_split_clause,[],[f528,f432,f530])). 2.93/3.18 tff(f533,plain,( 2.93/3.18 ( ! [X0:$int] : ($less(sK2,$sum(c,summation(X0))) | $less(X0,sK0) | $less(X0,sK1)) ) | ~spl6_7), 2.93/3.18 inference(resolution,[],[f492,f53])). 2.93/3.18 tff(f545,plain,( 2.93/3.18 ~$less(summation(sK2),summation($sum(c,summation(sK0)))) | ~spl6_41), 2.93/3.18 inference(resolution,[],[f250,f50])). 2.93/3.18 tff(f546,plain,( 2.93/3.18 max(sK2,$sum(c,summation(sK0))) = sK2 | ~spl6_41), 2.93/3.18 inference(resolution,[],[f250,f48])). 2.93/3.18 tff(f547,plain,( 2.93/3.18 max($sum(c,summation(sK0)),sK2) = sK2 | ~spl6_41), 2.93/3.18 inference(resolution,[],[f250,f47])). 2.93/3.18 tff(f549,plain,( 2.93/3.18 spl6_81 <=> ~$less(summation(sK2),summation($sum(c,summation(sK0))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_81])])). 2.93/3.18 tff(f550,plain,( 2.93/3.18 ~$less(summation(sK2),summation($sum(c,summation(sK0)))) | ~spl6_81), 2.93/3.18 inference(AVATAR_component_clause,[],[f549])). 2.93/3.18 tff(f551,plain,( 2.93/3.18 ~spl6_81 | spl6_41), 2.93/3.18 inference(AVATAR_split_clause,[],[f545,f249,f549])). 2.93/3.18 tff(f553,plain,( 2.93/3.18 spl6_82 <=> max(sK2,$sum(c,summation(sK0))) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_82])])). 2.93/3.18 tff(f554,plain,( 2.93/3.18 max(sK2,$sum(c,summation(sK0))) = sK2 | ~spl6_82), 2.93/3.18 inference(AVATAR_component_clause,[],[f553])). 2.93/3.18 tff(f555,plain,( 2.93/3.18 spl6_82 | spl6_41), 2.93/3.18 inference(AVATAR_split_clause,[],[f546,f249,f553])). 2.93/3.18 tff(f557,plain,( 2.93/3.18 spl6_84 <=> max($sum(c,summation(sK0)),sK2) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_84])])). 2.93/3.18 tff(f559,plain,( 2.93/3.18 spl6_84 | spl6_41), 2.93/3.18 inference(AVATAR_split_clause,[],[f547,f249,f557])). 2.93/3.18 tff(f564,plain,( 2.93/3.18 ( ! [X0:$int,X1:$int] : (model_ub(X0,sK2,X1) | $less(sK2,X0) | $less(X1,$sum(c,summation(sK2)))) ) | ~spl6_23), 2.93/3.18 inference(resolution,[],[f189,f64])). 2.93/3.18 tff(f568,plain,( 2.93/3.18 ( ! [X0:$int,X1:$int] : (model_ub(sK2,X0,X1) | $less(sK2,X0) | $less(X1,$sum(c,summation(sK2)))) ) | ~spl6_23), 2.93/3.18 inference(resolution,[],[f190,f64])). 2.93/3.18 tff(f572,plain,( 2.93/3.18 ( ! [X0:$int] : (ub(X0,summation($sum(c,summation(max(sK0,sK1)))),summation(sK2)) | $less(summation(sK2),X0)) ) | ~spl6_33), 2.93/3.18 inference(resolution,[],[f235,f53])). 2.93/3.18 tff(f573,plain,( 2.93/3.18 ( ! [X1:$int] : (ub(summation($sum(c,summation(max(sK0,sK1)))),X1,summation(sK2)) | $less(summation(sK2),X1)) ) | ~spl6_33), 2.93/3.18 inference(resolution,[],[f235,f53])). 2.93/3.18 tff(f574,plain,( 2.93/3.18 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(max(sK0,sK1)))))) | ~spl6_33), 2.93/3.18 inference(resolution,[],[f235,f50])). 2.93/3.18 tff(f575,plain,( 2.93/3.18 summation(sK2) = max(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_33), 2.93/3.18 inference(resolution,[],[f235,f48])). 2.93/3.18 tff(f576,plain,( 2.93/3.18 summation(sK2) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2)) | ~spl6_33), 2.93/3.18 inference(resolution,[],[f235,f47])). 2.93/3.18 tff(f577,plain,( 2.93/3.18 ~$less(summation(sK2),summation($sum(c,summation(sK0)))) | $less(sK0,sK1) | ~spl6_33), 2.93/3.18 inference(superposition,[],[f235,f48])). 2.93/3.18 tff(f580,plain,( 2.93/3.18 spl6_87 <=> ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(max(sK0,sK1))))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_87])])). 2.93/3.18 tff(f581,plain,( 2.93/3.18 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(max(sK0,sK1)))))) | ~spl6_87), 2.93/3.18 inference(AVATAR_component_clause,[],[f580])). 2.93/3.18 tff(f582,plain,( 2.93/3.18 ~spl6_87 | spl6_33), 2.93/3.18 inference(AVATAR_split_clause,[],[f574,f234,f580])). 2.93/3.18 tff(f584,plain,( 2.93/3.18 spl6_88 <=> summation(sK2) = max(summation(sK2),summation($sum(c,summation(max(sK0,sK1)))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_88])])). 2.93/3.18 tff(f585,plain,( 2.93/3.18 summation(sK2) = max(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_88), 2.93/3.18 inference(AVATAR_component_clause,[],[f584])). 2.93/3.18 tff(f586,plain,( 2.93/3.18 spl6_88 | spl6_33), 2.93/3.18 inference(AVATAR_split_clause,[],[f575,f234,f584])). 2.93/3.18 tff(f588,plain,( 2.93/3.18 spl6_90 <=> summation(sK2) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_90])])). 2.93/3.18 tff(f589,plain,( 2.93/3.18 summation(sK2) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2)) | ~spl6_90), 2.93/3.18 inference(AVATAR_component_clause,[],[f588])). 2.93/3.18 tff(f590,plain,( 2.93/3.18 spl6_90 | spl6_33), 2.93/3.18 inference(AVATAR_split_clause,[],[f576,f234,f588])). 2.93/3.18 tff(f591,plain,( 2.93/3.18 spl6_38 | ~spl6_81 | spl6_33), 2.93/3.18 inference(AVATAR_split_clause,[],[f577,f234,f549,f246])). 2.93/3.18 tff(f593,plain,( 2.93/3.18 max(sK2,$sum(c,summation(sK0))) = sK2 | $less(sK0,sK1) | ~spl6_34), 2.93/3.18 inference(superposition,[],[f239,f48])). 2.93/3.18 tff(f595,plain,( 2.93/3.18 $sum(c,summation(max(sK0,sK1))) = sK2 | $less($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_34), 2.93/3.18 inference(superposition,[],[f239,f47])). 2.93/3.18 tff(f596,plain,( 2.93/3.18 ( ! [X0:$int] : (model_max(sK2,$sum(c,summation(max(sK0,sK1))),X0) | $less(X0,$sum(c,summation(sK2)))) ) | ~spl6_34), 2.93/3.18 inference(superposition,[],[f62,f239])). 2.93/3.18 tff(f597,plain,( 2.93/3.18 ( ! [X1:$int] : (~model_max(sK2,$sum(c,summation(max(sK0,sK1))),X1) | ~$less(X1,$sum(c,summation(sK2)))) ) | ~spl6_34), 2.93/3.18 inference(superposition,[],[f63,f239])). 2.93/3.18 tff(f598,plain,( 2.93/3.18 $sum(c,summation(max(sK0,sK1))) = sK2 | $less($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_34), 2.93/3.18 inference(superposition,[],[f47,f239])). 2.93/3.18 tff(f599,plain,( 2.93/3.18 spl6_38 | spl6_82 | ~spl6_34), 2.93/3.18 inference(AVATAR_split_clause,[],[f593,f238,f553,f246])). 2.93/3.18 tff(f601,plain,( 2.93/3.18 spl6_92 <=> $less($sum(c,summation(max(sK0,sK1))),sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_92])])). 2.93/3.18 tff(f602,plain,( 2.93/3.18 $less($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_92), 2.93/3.18 inference(AVATAR_component_clause,[],[f601])). 2.93/3.18 tff(f604,plain,( 2.93/3.18 spl6_94 <=> $sum(c,summation(max(sK0,sK1))) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_94])])). 2.93/3.18 tff(f606,plain,( 2.93/3.18 spl6_92 | spl6_94 | ~spl6_34), 2.93/3.18 inference(AVATAR_split_clause,[],[f595,f238,f604,f601])). 2.93/3.18 tff(f607,plain,( 2.93/3.18 spl6_92 | spl6_94 | ~spl6_34), 2.93/3.18 inference(AVATAR_split_clause,[],[f598,f238,f604,f601])). 2.93/3.18 tff(f608,plain,( 2.93/3.18 max($sum(c,summation(sK0)),sK2) = sK2 | $less(sK0,sK1) | ~spl6_36), 2.93/3.18 inference(superposition,[],[f243,f48])). 2.93/3.18 tff(f610,plain,( 2.93/3.18 $sum(c,summation(max(sK0,sK1))) = sK2 | $less($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_36), 2.93/3.18 inference(superposition,[],[f243,f48])). 2.93/3.18 tff(f611,plain,( 2.93/3.18 ( ! [X0:$int] : (model_max($sum(c,summation(max(sK0,sK1))),sK2,X0) | $less(X0,$sum(c,summation(sK2)))) ) | ~spl6_36), 2.93/3.18 inference(superposition,[],[f62,f243])). 2.93/3.18 tff(f612,plain,( 2.93/3.18 ( ! [X1:$int] : (~model_max($sum(c,summation(max(sK0,sK1))),sK2,X1) | ~$less(X1,$sum(c,summation(sK2)))) ) | ~spl6_36), 2.93/3.18 inference(superposition,[],[f63,f243])). 2.93/3.18 tff(f613,plain,( 2.93/3.18 $sum(c,summation(max(sK0,sK1))) = sK2 | $less($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_36), 2.93/3.18 inference(superposition,[],[f48,f243])). 2.93/3.18 tff(f614,plain,( 2.93/3.18 spl6_38 | spl6_84 | ~spl6_36), 2.93/3.18 inference(AVATAR_split_clause,[],[f608,f242,f557,f246])). 2.93/3.18 tff(f615,plain,( 2.93/3.18 spl6_92 | spl6_94 | ~spl6_36), 2.93/3.18 inference(AVATAR_split_clause,[],[f610,f242,f604,f601])). 2.93/3.18 tff(f616,plain,( 2.93/3.18 spl6_92 | spl6_94 | ~spl6_36), 2.93/3.18 inference(AVATAR_split_clause,[],[f613,f242,f604,f601])). 2.93/3.18 tff(f620,plain,( 2.93/3.18 ~$less(summation(summation(summation(sK2))),summation(summation(summation(sK2)))) | ~spl6_29), 2.93/3.18 inference(resolution,[],[f214,f50])). 2.93/3.18 tff(f621,plain,( 2.93/3.18 summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK2))) | ~spl6_29), 2.93/3.18 inference(resolution,[],[f214,f48])). 2.93/3.18 tff(f622,plain,( 2.93/3.18 summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK2))) | ~spl6_29), 2.93/3.18 inference(resolution,[],[f214,f47])). 2.93/3.18 tff(f624,plain,( 2.93/3.18 spl6_97 <=> ~$less(summation(summation(summation(sK2))),summation(summation(summation(sK2))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_97])])). 2.93/3.18 tff(f625,plain,( 2.93/3.18 ~$less(summation(summation(summation(sK2))),summation(summation(summation(sK2)))) | ~spl6_97), 2.93/3.18 inference(AVATAR_component_clause,[],[f624])). 2.93/3.18 tff(f626,plain,( 2.93/3.18 ~spl6_97 | spl6_29), 2.93/3.18 inference(AVATAR_split_clause,[],[f620,f213,f624])). 2.93/3.18 tff(f628,plain,( 2.93/3.18 spl6_98 <=> summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_98])])). 2.93/3.18 tff(f630,plain,( 2.93/3.18 spl6_98 | spl6_29), 2.93/3.18 inference(AVATAR_split_clause,[],[f621,f213,f628])). 2.93/3.18 tff(f631,plain,( 2.93/3.18 spl6_98 | spl6_29), 2.93/3.18 inference(AVATAR_split_clause,[],[f622,f213,f628])). 2.93/3.18 tff(f633,plain,( 2.93/3.18 ( ! [X0:$int,X1:$int] : (~ub(X0,X1,sK0) | model_ub(X0,X1,sK2) | $less(sK0,sK1)) ) | ~spl6_17), 2.93/3.18 inference(superposition,[],[f511,f48])). 2.93/3.18 tff(f636,plain,( 2.93/3.18 spl6_100 <=> ! [X1 : $int,X0 : $int] : (~ub(X0,X1,sK0) | model_ub(X0,X1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_100])])). 2.93/3.18 tff(f638,plain,( 2.93/3.18 spl6_38 | spl6_100 | spl6_17), 2.93/3.18 inference(AVATAR_split_clause,[],[f633,f134,f636,f246])). 2.93/3.18 tff(f639,plain,( 2.93/3.18 ~$less(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) | ~spl6_67), 2.93/3.18 inference(resolution,[],[f443,f49])). 2.93/3.18 tff(f642,plain,( 2.93/3.18 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK5(sK0,sK1,sK2)))))) | ~spl6_67), 2.93/3.18 inference(resolution,[],[f443,f50])). 2.93/3.18 tff(f643,plain,( 2.93/3.18 summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK5(sK0,sK1,sK2))))) | ~spl6_67), 2.93/3.18 inference(resolution,[],[f443,f48])). 2.93/3.18 tff(f644,plain,( 2.93/3.18 summation(sK2) = max(summation($sum(c,summation(sK5(sK0,sK1,sK2)))),summation(sK2)) | ~spl6_67), 2.93/3.18 inference(resolution,[],[f443,f47])). 2.93/3.18 tff(f645,plain,( 2.93/3.18 ~spl6_19 | spl6_67), 2.93/3.18 inference(AVATAR_split_clause,[],[f639,f442,f157])). 2.93/3.18 tff(f647,plain,( 2.93/3.18 spl6_103 <=> ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK5(sK0,sK1,sK2))))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_103])])). 2.93/3.18 tff(f649,plain,( 2.93/3.18 ~spl6_103 | spl6_67), 2.93/3.18 inference(AVATAR_split_clause,[],[f642,f442,f647])). 2.93/3.18 tff(f651,plain,( 2.93/3.18 spl6_104 <=> summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK5(sK0,sK1,sK2)))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_104])])). 2.93/3.18 tff(f653,plain,( 2.93/3.18 spl6_104 | spl6_67), 2.93/3.18 inference(AVATAR_split_clause,[],[f643,f442,f651])). 2.93/3.18 tff(f655,plain,( 2.93/3.18 spl6_106 <=> summation(sK2) = max(summation($sum(c,summation(sK5(sK0,sK1,sK2)))),summation(sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_106])])). 2.93/3.18 tff(f657,plain,( 2.93/3.18 spl6_106 | spl6_67), 2.93/3.18 inference(AVATAR_split_clause,[],[f644,f442,f655])). 2.93/3.18 tff(f658,plain,( 2.93/3.18 $less(summation(sK1),summation(sK0)) | ~spl6_78), 2.93/3.18 inference(resolution,[],[f531,f50])). 2.93/3.18 tff(f663,plain,( 2.93/3.18 $less(summation(summation(summation(sK1))),summation(summation(summation(sK0)))) | ~spl6_78), 2.93/3.18 inference(resolution,[],[f531,f49])). 2.93/3.18 tff(f665,plain,( 2.93/3.18 spl6_108 <=> $less(summation(summation(summation(sK1))),summation(summation(summation(sK0))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_108])])). 2.93/3.18 tff(f666,plain,( 2.93/3.18 $less(summation(summation(summation(sK1))),summation(summation(summation(sK0)))) | ~spl6_108), 2.93/3.18 inference(AVATAR_component_clause,[],[f665])). 2.93/3.18 tff(f667,plain,( 2.93/3.18 spl6_108 | ~spl6_78), 2.93/3.18 inference(AVATAR_split_clause,[],[f663,f530,f665])). 2.93/3.18 tff(f668,plain,( 2.93/3.18 $sum(c,summation(sK5(sK0,sK1,sK2))) = sK2 | $less($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) | ~spl6_68), 2.93/3.18 inference(superposition,[],[f447,f47])). 2.93/3.18 tff(f671,plain,( 2.93/3.18 $sum(c,summation(sK5(sK0,sK1,sK2))) = sK2 | $less($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) | ~spl6_68), 2.93/3.18 inference(superposition,[],[f47,f447])). 2.93/3.18 tff(f673,plain,( 2.93/3.18 spl6_110 <=> $less($sum(c,summation(sK5(sK0,sK1,sK2))),sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_110])])). 2.93/3.18 tff(f676,plain,( 2.93/3.18 spl6_112 <=> $sum(c,summation(sK5(sK0,sK1,sK2))) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_112])])). 2.93/3.18 tff(f677,plain,( 2.93/3.18 $sum(c,summation(sK5(sK0,sK1,sK2))) = sK2 | ~spl6_112), 2.93/3.18 inference(AVATAR_component_clause,[],[f676])). 2.93/3.18 tff(f678,plain,( 2.93/3.18 spl6_110 | spl6_112 | ~spl6_68), 2.93/3.18 inference(AVATAR_split_clause,[],[f668,f446,f676,f673])). 2.93/3.18 tff(f679,plain,( 2.93/3.18 spl6_110 | spl6_112 | ~spl6_68), 2.93/3.18 inference(AVATAR_split_clause,[],[f671,f446,f676,f673])). 2.93/3.18 tff(f683,plain,( 2.93/3.18 ( ! [X0:$int] : (ub(X0,$sum(c,summation(sK0)),sK2) | $less(sK2,X0) | $less(sK0,sK1)) ) | ~spl6_17), 2.93/3.18 inference(superposition,[],[f512,f48])). 2.93/3.18 tff(f686,plain,( 2.93/3.18 spl6_114 <=> ! [X0 : $int] : (ub(X0,$sum(c,summation(sK0)),sK2) | $less(sK2,X0))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_114])])). 2.93/3.18 tff(f688,plain,( 2.93/3.18 spl6_38 | spl6_114 | spl6_17), 2.93/3.18 inference(AVATAR_split_clause,[],[f683,f134,f686,f246])). 2.93/3.18 tff(f694,plain,( 2.93/3.18 ( ! [X0:$int] : (ub($sum(c,summation(sK0)),X0,sK2) | $less(sK2,X0) | $less(sK0,sK1)) ) | ~spl6_17), 2.93/3.18 inference(superposition,[],[f513,f48])). 2.93/3.18 tff(f697,plain,( 2.93/3.18 spl6_116 <=> ! [X0 : $int] : (ub($sum(c,summation(sK0)),X0,sK2) | $less(sK2,X0))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_116])])). 2.93/3.18 tff(f699,plain,( 2.93/3.18 spl6_38 | spl6_116 | spl6_17), 2.93/3.18 inference(AVATAR_split_clause,[],[f694,f134,f697,f246])). 2.93/3.18 tff(f700,plain,( 2.93/3.18 $less(sK1,sK0) | $less(sK1,sK1) | (~spl6_7 | ~spl6_45)), 2.93/3.18 inference(resolution,[],[f533,f257])). 2.93/3.18 tff(f701,plain,( 2.93/3.18 $less(max(sK0,sK1),sK0) | $less(max(sK0,sK1),sK1) | (~spl6_7 | ~spl6_17)), 2.93/3.18 inference(resolution,[],[f533,f135])). 2.93/3.18 tff(f702,plain,( 2.93/3.18 $less(sK0,sK0) | $less(sK0,sK1) | (~spl6_7 | ~spl6_41)), 2.93/3.18 inference(resolution,[],[f533,f250])). 2.93/3.18 tff(f711,plain,( 2.93/3.18 spl6_118 <=> $less(max(sK0,sK1),sK1)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_118])])). 2.93/3.18 tff(f712,plain,( 2.93/3.18 $less(max(sK0,sK1),sK1) | ~spl6_118), 2.93/3.18 inference(AVATAR_component_clause,[],[f711])). 2.93/3.18 tff(f714,plain,( 2.93/3.18 spl6_120 <=> $less(max(sK0,sK1),sK0)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_120])])). 2.93/3.18 tff(f716,plain,( 2.93/3.18 spl6_118 | spl6_120 | spl6_7 | spl6_17), 2.93/3.18 inference(AVATAR_split_clause,[],[f701,f134,f87,f714,f711])). 2.93/3.18 tff(f718,plain,( 2.93/3.18 spl6_122 <=> $less(sK0,sK0)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_122])])). 2.93/3.18 tff(f720,plain,( 2.93/3.18 spl6_38 | spl6_122 | spl6_7 | spl6_41), 2.93/3.18 inference(AVATAR_split_clause,[],[f702,f249,f87,f718,f246])). 2.93/3.18 tff(f721,plain,( 2.93/3.18 ~spl6_19 | spl6_67), 2.93/3.18 inference(AVATAR_split_clause,[],[f639,f442,f157])). 2.93/3.18 tff(f722,plain,( 2.93/3.18 ~spl6_47 | ~spl6_20), 2.93/3.18 inference(AVATAR_split_clause,[],[f388,f161,f287])). 2.93/3.18 tff(f723,plain,( 2.93/3.18 ~spl6_49 | ~spl6_20), 2.93/3.18 inference(AVATAR_split_clause,[],[f389,f161,f291])). 2.93/3.18 tff(f724,plain,( 2.93/3.18 ~spl6_47 | ~spl6_20), 2.93/3.18 inference(AVATAR_split_clause,[],[f284,f161,f287])). 2.93/3.18 tff(f725,plain,( 2.93/3.18 ~spl6_49 | ~spl6_20), 2.93/3.18 inference(AVATAR_split_clause,[],[f285,f161,f291])). 2.93/3.18 tff(f726,plain,( 2.93/3.18 ~$less(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) | ~spl6_6), 2.93/3.18 inference(resolution,[],[f117,f65])). 2.93/3.18 tff(f727,plain,( 2.93/3.18 ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_6), 2.93/3.18 inference(resolution,[],[f117,f66])). 2.93/3.18 tff(f728,plain,( 2.93/3.18 ( ! [X0:$int] : (~minsol_model_ub(sK0,sK1,X0) | ~$less(sK2,X0)) ) | ~spl6_6), 2.93/3.18 inference(resolution,[],[f117,f58])). 2.93/3.18 tff(f729,plain,( 2.93/3.18 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_6), 2.93/3.18 inference(resolution,[],[f117,f60])). 2.93/3.18 tff(f730,plain,( 2.93/3.18 minsol_model_ub(sK0,sK1,sK2) | $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_6), 2.93/3.18 inference(resolution,[],[f117,f61])). 2.93/3.18 tff(f731,plain,( 2.93/3.18 ~spl6_19 | ~spl6_6), 2.93/3.18 inference(AVATAR_split_clause,[],[f726,f116,f157])). 2.93/3.18 tff(f732,plain,( 2.93/3.18 spl6_20 | ~spl6_6), 2.93/3.18 inference(AVATAR_split_clause,[],[f727,f116,f161])). 2.93/3.18 tff(f733,plain,( 2.93/3.18 spl6_4 | spl6_0 | ~spl6_6), 2.93/3.18 inference(AVATAR_split_clause,[],[f729,f116,f75,f84])). 2.93/3.18 tff(f734,plain,( 2.93/3.18 spl6_8 | spl6_0 | ~spl6_6), 2.93/3.18 inference(AVATAR_split_clause,[],[f730,f116,f75,f91])). 2.93/3.18 tff(f735,plain,( 2.93/3.18 $less(sK4(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | (~spl6_2 | ~spl6_8)), 2.93/3.18 inference(resolution,[],[f92,f501])). 2.93/3.18 tff(f736,plain,( 2.93/3.18 ( ! [X0:$int,X1:$int] : (~minsol_model_ub(X0,X1,sK2) | ~model_ub(X0,X1,sK4(sK0,sK1,sK2))) ) | ~spl6_8), 2.93/3.18 inference(resolution,[],[f92,f58])). 2.93/3.18 tff(f737,plain,( 2.93/3.18 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,sK4(sK0,sK1,sK2)) | ~minsol_model_max(X2,X3,sK2)) ) | ~spl6_8), 2.93/3.18 inference(resolution,[],[f92,f55])). 2.93/3.18 tff(f740,plain,( 2.93/3.18 $less(summation(sK4(sK0,sK1,sK2)),summation(sK2)) | ~spl6_8), 2.93/3.18 inference(resolution,[],[f92,f49])). 2.93/3.18 tff(f742,plain,( 2.93/3.18 spl6_124 <=> $less(sK4(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_124])])). 2.93/3.18 tff(f743,plain,( 2.93/3.18 $less(sK4(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | ~spl6_124), 2.93/3.18 inference(AVATAR_component_clause,[],[f742])). 2.93/3.18 tff(f744,plain,( 2.93/3.18 spl6_124 | ~spl6_2 | ~spl6_8), 2.93/3.18 inference(AVATAR_split_clause,[],[f735,f91,f78,f742])). 2.93/3.18 tff(f746,plain,( 2.93/3.18 spl6_126 <=> $less(summation(sK4(sK0,sK1,sK2)),summation(sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_126])])). 2.93/3.18 tff(f747,plain,( 2.93/3.18 $less(summation(sK4(sK0,sK1,sK2)),summation(sK2)) | ~spl6_126), 2.93/3.18 inference(AVATAR_component_clause,[],[f746])). 2.93/3.18 tff(f748,plain,( 2.93/3.18 spl6_126 | ~spl6_8), 2.93/3.18 inference(AVATAR_split_clause,[],[f740,f91,f746])). 2.93/3.18 tff(f749,plain,( 2.93/3.18 ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))) | ~spl6_4), 2.93/3.18 inference(resolution,[],[f85,f65])). 2.93/3.18 tff(f750,plain,( 2.93/3.18 ub(sK0,sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK2))) | ~spl6_4), 2.93/3.18 inference(resolution,[],[f85,f66])). 2.93/3.18 tff(f751,plain,( 2.93/3.18 ( ! [X0:$int] : (~minsol_model_ub(sK0,sK1,X0) | ~$less(sK4(sK0,sK1,sK2),X0)) ) | ~spl6_4), 2.93/3.18 inference(resolution,[],[f85,f58])). 2.93/3.18 tff(f752,plain,( 2.93/3.18 minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | model_ub(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | ~spl6_4), 2.93/3.18 inference(resolution,[],[f85,f60])). 2.93/3.18 tff(f753,plain,( 2.93/3.18 minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | $less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK4(sK0,sK1,sK2)) | ~spl6_4), 2.93/3.18 inference(resolution,[],[f85,f61])). 2.93/3.18 tff(f755,plain,( 2.93/3.18 spl6_129 <=> ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_129])])). 2.93/3.18 tff(f756,plain,( 2.93/3.18 ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))) | ~spl6_129), 2.93/3.18 inference(AVATAR_component_clause,[],[f755])). 2.93/3.18 tff(f757,plain,( 2.93/3.18 ~spl6_129 | ~spl6_4), 2.93/3.18 inference(AVATAR_split_clause,[],[f749,f84,f755])). 2.93/3.18 tff(f759,plain,( 2.93/3.18 spl6_130 <=> ub(sK0,sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_130])])). 2.93/3.18 tff(f760,plain,( 2.93/3.18 ub(sK0,sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK2))) | ~spl6_130), 2.93/3.18 inference(AVATAR_component_clause,[],[f759])). 2.93/3.18 tff(f761,plain,( 2.93/3.18 spl6_130 | ~spl6_4), 2.93/3.18 inference(AVATAR_split_clause,[],[f750,f84,f759])). 2.93/3.18 tff(f763,plain,( 2.93/3.18 spl6_132 <=> model_ub(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_132])])). 2.93/3.18 tff(f766,plain,( 2.93/3.18 spl6_134 <=> minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_134])])). 2.93/3.18 tff(f767,plain,( 2.93/3.18 minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_134), 2.93/3.18 inference(AVATAR_component_clause,[],[f766])). 2.93/3.18 tff(f768,plain,( 2.93/3.18 spl6_132 | spl6_134 | ~spl6_4), 2.93/3.18 inference(AVATAR_split_clause,[],[f752,f84,f766,f763])). 2.93/3.18 tff(f770,plain,( 2.93/3.18 spl6_136 <=> $less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK4(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_136])])). 2.93/3.18 tff(f772,plain,( 2.93/3.18 spl6_136 | spl6_134 | ~spl6_4), 2.93/3.18 inference(AVATAR_split_clause,[],[f753,f84,f766,f770])). 2.93/3.18 tff(f773,plain,( 2.93/3.18 ( ! [X0:$int] : (ub(X0,sK1,sK5(sK0,sK1,sK2)) | $less(sK5(sK0,sK1,sK2),X0)) ) | ~spl6_47), 2.93/3.18 inference(resolution,[],[f288,f53])). 2.93/3.18 tff(f775,plain,( 2.93/3.18 ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK1)) | ~spl6_47), 2.93/3.18 inference(resolution,[],[f288,f50])). 2.93/3.18 tff(f776,plain,( 2.93/3.18 max(sK5(sK0,sK1,sK2),sK1) = sK5(sK0,sK1,sK2) | ~spl6_47), 2.93/3.18 inference(resolution,[],[f288,f48])). 2.93/3.18 tff(f777,plain,( 2.93/3.18 max(sK1,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) | ~spl6_47), 2.93/3.18 inference(resolution,[],[f288,f47])). 2.93/3.18 tff(f778,plain,( 2.93/3.18 ~spl6_51 | spl6_47), 2.93/3.18 inference(AVATAR_split_clause,[],[f775,f287,f308])). 2.93/3.18 tff(f779,plain,( 2.93/3.18 spl6_52 | spl6_47), 2.93/3.18 inference(AVATAR_split_clause,[],[f776,f287,f312])). 2.93/3.18 tff(f780,plain,( 2.93/3.18 spl6_54 | spl6_47), 2.93/3.18 inference(AVATAR_split_clause,[],[f777,f287,f316])). 2.93/3.18 tff(f781,plain,( 2.93/3.18 ( ! [X0:$int] : (model_ub(sK0,sK1,X0) | $less(X0,$sum(c,summation(sK5(sK0,sK1,sK2))))) ) | ~spl6_20), 2.93/3.18 inference(resolution,[],[f162,f64])). 2.93/3.18 tff(f782,plain,( 2.93/3.18 ~$less(sK5(sK0,sK1,sK2),sK1) | ~spl6_20), 2.93/3.18 inference(resolution,[],[f162,f51])). 2.93/3.18 tff(f783,plain,( 2.93/3.18 ~$less(sK5(sK0,sK1,sK2),sK0) | ~spl6_20), 2.93/3.18 inference(resolution,[],[f162,f52])). 2.93/3.18 tff(f784,plain,( 2.93/3.18 ~spl6_49 | ~spl6_20), 2.93/3.18 inference(AVATAR_split_clause,[],[f783,f161,f291])). 2.93/3.18 tff(f788,plain,( 2.93/3.18 ( ! [X1:$int] : (ub(sK0,X1,sK5(sK0,sK1,sK2)) | $less(sK5(sK0,sK1,sK2),X1)) ) | ~spl6_49), 2.93/3.18 inference(resolution,[],[f292,f53])). 2.93/3.18 tff(f789,plain,( 2.93/3.18 ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK0)) | ~spl6_49), 2.93/3.18 inference(resolution,[],[f292,f50])). 2.93/3.18 tff(f790,plain,( 2.93/3.18 max(sK5(sK0,sK1,sK2),sK0) = sK5(sK0,sK1,sK2) | ~spl6_49), 2.93/3.18 inference(resolution,[],[f292,f48])). 2.93/3.18 tff(f791,plain,( 2.93/3.18 max(sK0,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) | ~spl6_49), 2.93/3.18 inference(resolution,[],[f292,f47])). 2.93/3.18 tff(f792,plain,( 2.93/3.18 ~spl6_73 | spl6_49), 2.93/3.18 inference(AVATAR_split_clause,[],[f789,f291,f467])). 2.93/3.18 tff(f793,plain,( 2.93/3.18 spl6_74 | spl6_49), 2.93/3.18 inference(AVATAR_split_clause,[],[f790,f291,f471])). 2.93/3.18 tff(f794,plain,( 2.93/3.18 spl6_76 | spl6_49), 2.93/3.18 inference(AVATAR_split_clause,[],[f791,f291,f475])). 2.93/3.18 tff(f797,plain,( 2.93/3.18 ~$less(sK2,sK4(sK0,sK1,sK2)) | (~spl6_6 | ~spl6_134)), 2.93/3.18 inference(resolution,[],[f767,f728])). 2.93/3.18 tff(f799,plain,( 2.93/3.18 model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_134), 2.93/3.18 inference(resolution,[],[f767,f59])). 2.93/3.18 tff(f801,plain,( 2.93/3.18 spl6_139 <=> ~$less(sK2,sK4(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_139])])). 2.93/3.18 tff(f802,plain,( 2.93/3.18 ~$less(sK2,sK4(sK0,sK1,sK2)) | ~spl6_139), 2.93/3.18 inference(AVATAR_component_clause,[],[f801])). 2.93/3.18 tff(f803,plain,( 2.93/3.18 ~spl6_139 | ~spl6_6 | ~spl6_134), 2.93/3.18 inference(AVATAR_split_clause,[],[f797,f766,f116,f801])). 2.93/3.18 tff(f809,plain,( 2.93/3.18 $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_126), 2.93/3.18 inference(resolution,[],[f747,f49])). 2.93/3.18 tff(f811,plain,( 2.93/3.18 spl6_140 <=> $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_140])])). 2.93/3.18 tff(f812,plain,( 2.93/3.18 $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_140), 2.93/3.18 inference(AVATAR_component_clause,[],[f811])). 2.93/3.18 tff(f813,plain,( 2.93/3.18 spl6_140 | ~spl6_126), 2.93/3.18 inference(AVATAR_split_clause,[],[f809,f746,f811])). 2.93/3.18 tff(f814,plain,( 2.93/3.18 ( ! [X0:$int,X1:$int] : (~ub(X0,X1,sK5(sK0,sK1,sK2)) | model_ub(X0,X1,sK2)) ) | ~spl6_19), 2.93/3.18 inference(resolution,[],[f158,f64])). 2.93/3.18 tff(f817,plain,( 2.93/3.18 ~$less(summation(sK2),summation($sum(c,summation(sK5(sK0,sK1,sK2))))) | ~spl6_19), 2.93/3.18 inference(resolution,[],[f158,f50])). 2.93/3.18 tff(f818,plain,( 2.93/3.18 max(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) = sK2 | ~spl6_19), 2.93/3.18 inference(resolution,[],[f158,f48])). 2.93/3.18 tff(f819,plain,( 2.93/3.18 max($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) = sK2 | ~spl6_19), 2.93/3.18 inference(resolution,[],[f158,f47])). 2.93/3.18 tff(f820,plain,( 2.93/3.18 ~spl6_67 | spl6_19), 2.93/3.18 inference(AVATAR_split_clause,[],[f817,f157,f442])). 2.93/3.18 tff(f821,plain,( 2.93/3.18 spl6_68 | spl6_19), 2.93/3.18 inference(AVATAR_split_clause,[],[f818,f157,f446])). 2.93/3.18 tff(f822,plain,( 2.93/3.18 spl6_70 | spl6_19), 2.93/3.18 inference(AVATAR_split_clause,[],[f819,f157,f450])). 2.93/3.18 tff(f825,plain,( 2.93/3.18 ~$less(summation(sK2),summation(sK4(sK0,sK1,sK2))) | ~spl6_139), 2.93/3.18 inference(resolution,[],[f802,f50])). 2.93/3.18 tff(f826,plain,( 2.93/3.18 max(sK2,sK4(sK0,sK1,sK2)) = sK2 | ~spl6_139), 2.93/3.18 inference(resolution,[],[f802,f48])). 2.93/3.18 tff(f827,plain,( 2.93/3.18 max(sK4(sK0,sK1,sK2),sK2) = sK2 | ~spl6_139), 2.93/3.18 inference(resolution,[],[f802,f47])). 2.93/3.18 tff(f829,plain,( 2.93/3.18 spl6_143 <=> ~$less(summation(sK2),summation(sK4(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_143])])). 2.93/3.18 tff(f830,plain,( 2.93/3.18 ~$less(summation(sK2),summation(sK4(sK0,sK1,sK2))) | ~spl6_143), 2.93/3.18 inference(AVATAR_component_clause,[],[f829])). 2.93/3.18 tff(f831,plain,( 2.93/3.18 ~spl6_143 | spl6_139), 2.93/3.18 inference(AVATAR_split_clause,[],[f825,f801,f829])). 2.93/3.18 tff(f833,plain,( 2.93/3.18 spl6_144 <=> max(sK2,sK4(sK0,sK1,sK2)) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_144])])). 2.93/3.18 tff(f835,plain,( 2.93/3.18 spl6_144 | spl6_139), 2.93/3.18 inference(AVATAR_split_clause,[],[f826,f801,f833])). 2.93/3.18 tff(f837,plain,( 2.93/3.18 spl6_146 <=> max(sK4(sK0,sK1,sK2),sK2) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_146])])). 2.93/3.18 tff(f839,plain,( 2.93/3.18 spl6_146 | spl6_139), 2.93/3.18 inference(AVATAR_split_clause,[],[f827,f801,f837])). 2.93/3.18 tff(f840,plain,( 2.93/3.18 ~$less(sK4(sK0,sK1,sK2),sK4(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_134)), 2.93/3.18 inference(resolution,[],[f751,f767])). 2.93/3.18 tff(f844,plain,( 2.93/3.18 spl6_149 <=> ~$less(sK4(sK0,sK1,sK2),sK4(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_149])])). 2.93/3.18 tff(f845,plain,( 2.93/3.18 ~$less(sK4(sK0,sK1,sK2),sK4(sK0,sK1,sK2)) | ~spl6_149), 2.93/3.18 inference(AVATAR_component_clause,[],[f844])). 2.93/3.18 tff(f846,plain,( 2.93/3.18 ~spl6_149 | ~spl6_4 | ~spl6_134), 2.93/3.18 inference(AVATAR_split_clause,[],[f840,f766,f84,f844])). 2.93/3.18 tff(f848,plain,( 2.93/3.18 ~$less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK1) | ~spl6_130), 2.93/3.18 inference(resolution,[],[f760,f51])). 2.93/3.18 tff(f849,plain,( 2.93/3.18 ~$less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK0) | ~spl6_130), 2.93/3.18 inference(resolution,[],[f760,f52])). 2.93/3.18 tff(f851,plain,( 2.93/3.18 spl6_151 <=> ~$less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK1)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_151])])). 2.93/3.18 tff(f852,plain,( 2.93/3.18 ~$less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK1) | ~spl6_151), 2.93/3.18 inference(AVATAR_component_clause,[],[f851])). 2.93/3.18 tff(f853,plain,( 2.93/3.18 ~spl6_151 | ~spl6_130), 2.93/3.18 inference(AVATAR_split_clause,[],[f848,f759,f851])). 2.93/3.18 tff(f855,plain,( 2.93/3.18 spl6_153 <=> ~$less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK0)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_153])])). 2.93/3.18 tff(f856,plain,( 2.93/3.18 ~$less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK0) | ~spl6_153), 2.93/3.18 inference(AVATAR_component_clause,[],[f855])). 2.93/3.18 tff(f857,plain,( 2.93/3.18 ~spl6_153 | ~spl6_130), 2.93/3.18 inference(AVATAR_split_clause,[],[f849,f759,f855])). 2.93/3.18 tff(f858,plain,( 2.93/3.18 ~$less(sK5(sK0,sK1,sK2),sK1) | ~spl6_51), 2.93/3.18 inference(resolution,[],[f309,f49])). 2.93/3.18 tff(f861,plain,( 2.93/3.18 ~$less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK1))) | ~spl6_51), 2.93/3.18 inference(resolution,[],[f309,f50])). 2.93/3.18 tff(f862,plain,( 2.93/3.18 summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation(sK1)) | ~spl6_51), 2.93/3.18 inference(resolution,[],[f309,f48])). 2.93/3.18 tff(f863,plain,( 2.93/3.18 summation(sK5(sK0,sK1,sK2)) = max(summation(sK1),summation(sK5(sK0,sK1,sK2))) | ~spl6_51), 2.93/3.18 inference(resolution,[],[f309,f47])). 2.93/3.18 tff(f865,plain,( 2.93/3.18 spl6_155 <=> ~$less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK1)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_155])])). 2.93/3.18 tff(f866,plain,( 2.93/3.18 ~$less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK1))) | ~spl6_155), 2.93/3.18 inference(AVATAR_component_clause,[],[f865])). 2.93/3.18 tff(f867,plain,( 2.93/3.18 ~spl6_155 | spl6_51), 2.93/3.18 inference(AVATAR_split_clause,[],[f861,f308,f865])). 2.93/3.18 tff(f869,plain,( 2.93/3.18 spl6_156 <=> summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation(sK1))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_156])])). 2.93/3.18 tff(f871,plain,( 2.93/3.18 spl6_156 | spl6_51), 2.93/3.18 inference(AVATAR_split_clause,[],[f862,f308,f869])). 2.93/3.18 tff(f873,plain,( 2.93/3.18 spl6_158 <=> summation(sK5(sK0,sK1,sK2)) = max(summation(sK1),summation(sK5(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_158])])). 2.93/3.18 tff(f875,plain,( 2.93/3.18 spl6_158 | spl6_51), 2.93/3.18 inference(AVATAR_split_clause,[],[f863,f308,f873])). 2.93/3.18 tff(f876,plain,( 2.93/3.18 ( ! [X0:$int,X1:$int] : (~model_ub(X0,X1,sK4(sK0,sK1,sK2)) | ~model_ub(X0,X1,sK2) | model_ub(X0,X1,sK4(X0,X1,sK2))) ) | ~spl6_8), 2.93/3.18 inference(resolution,[],[f736,f60])). 2.93/3.18 tff(f877,plain,( 2.93/3.18 ( ! [X2:$int,X3:$int] : (~model_ub(X2,X3,sK4(sK0,sK1,sK2)) | ~model_ub(X2,X3,sK2) | $less(sK4(X2,X3,sK2),sK2)) ) | ~spl6_8), 2.93/3.18 inference(resolution,[],[f736,f61])). 2.93/3.18 tff(f884,plain,( 2.93/3.18 ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))))) | ~spl6_129), 2.93/3.18 inference(resolution,[],[f756,f50])). 2.93/3.18 tff(f885,plain,( 2.93/3.18 max(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))) = sK4(sK0,sK1,sK2) | ~spl6_129), 2.93/3.18 inference(resolution,[],[f756,f48])). 2.93/3.18 tff(f886,plain,( 2.93/3.18 max($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2) | ~spl6_129), 2.93/3.18 inference(resolution,[],[f756,f47])). 2.93/3.18 tff(f888,plain,( 2.93/3.18 spl6_161 <=> ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_161])])). 2.93/3.18 tff(f889,plain,( 2.93/3.18 ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))))) | ~spl6_161), 2.93/3.18 inference(AVATAR_component_clause,[],[f888])). 2.93/3.18 tff(f890,plain,( 2.93/3.18 ~spl6_161 | spl6_129), 2.93/3.18 inference(AVATAR_split_clause,[],[f884,f755,f888])). 2.93/3.18 tff(f892,plain,( 2.93/3.18 spl6_162 <=> max(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))) = sK4(sK0,sK1,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_162])])). 2.93/3.18 tff(f893,plain,( 2.93/3.18 max(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))) = sK4(sK0,sK1,sK2) | ~spl6_162), 2.93/3.18 inference(AVATAR_component_clause,[],[f892])). 2.93/3.18 tff(f894,plain,( 2.93/3.18 spl6_162 | spl6_129), 2.93/3.18 inference(AVATAR_split_clause,[],[f885,f755,f892])). 2.93/3.18 tff(f896,plain,( 2.93/3.18 spl6_164 <=> max($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_164])])). 2.93/3.18 tff(f897,plain,( 2.93/3.18 max($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2) | ~spl6_164), 2.93/3.18 inference(AVATAR_component_clause,[],[f896])). 2.93/3.18 tff(f898,plain,( 2.93/3.18 spl6_164 | spl6_129), 2.93/3.18 inference(AVATAR_split_clause,[],[f886,f755,f896])). 2.93/3.18 tff(f903,plain,( 2.93/3.18 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK1))))) | ~spl6_59), 2.93/3.18 inference(resolution,[],[f377,f50])). 2.93/3.18 tff(f904,plain,( 2.93/3.18 summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK1)))) | ~spl6_59), 2.93/3.18 inference(resolution,[],[f377,f48])). 2.93/3.18 tff(f905,plain,( 2.93/3.18 summation(sK2) = max(summation($sum(c,summation(sK1))),summation(sK2)) | ~spl6_59), 2.93/3.18 inference(resolution,[],[f377,f47])). 2.93/3.18 tff(f907,plain,( 2.93/3.18 spl6_167 <=> ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK1)))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_167])])). 2.93/3.18 tff(f908,plain,( 2.93/3.18 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK1))))) | ~spl6_167), 2.93/3.18 inference(AVATAR_component_clause,[],[f907])). 2.93/3.18 tff(f909,plain,( 2.93/3.18 ~spl6_167 | spl6_59), 2.93/3.18 inference(AVATAR_split_clause,[],[f903,f376,f907])). 2.93/3.18 tff(f911,plain,( 2.93/3.18 spl6_168 <=> summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK1))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_168])])). 2.93/3.18 tff(f913,plain,( 2.93/3.18 spl6_168 | spl6_59), 2.93/3.18 inference(AVATAR_split_clause,[],[f904,f376,f911])). 2.93/3.18 tff(f915,plain,( 2.93/3.18 spl6_170 <=> summation(sK2) = max(summation($sum(c,summation(sK1))),summation(sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_170])])). 2.93/3.18 tff(f917,plain,( 2.93/3.18 spl6_170 | spl6_59), 2.93/3.18 inference(AVATAR_split_clause,[],[f905,f376,f915])). 2.93/3.18 tff(f921,plain,( 2.93/3.18 ~$less(summation(sK4(sK0,sK1,sK2)),summation(sK4(sK0,sK1,sK2))) | ~spl6_149), 2.93/3.18 inference(resolution,[],[f845,f50])). 2.93/3.18 tff(f922,plain,( 2.93/3.18 max(sK4(sK0,sK1,sK2),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2) | ~spl6_149), 2.93/3.18 inference(resolution,[],[f845,f48])). 2.93/3.18 tff(f923,plain,( 2.93/3.18 max(sK4(sK0,sK1,sK2),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2) | ~spl6_149), 2.93/3.18 inference(resolution,[],[f845,f47])). 2.93/3.18 tff(f925,plain,( 2.93/3.18 spl6_173 <=> ~$less(summation(sK4(sK0,sK1,sK2)),summation(sK4(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_173])])). 2.93/3.18 tff(f926,plain,( 2.93/3.18 ~$less(summation(sK4(sK0,sK1,sK2)),summation(sK4(sK0,sK1,sK2))) | ~spl6_173), 2.93/3.18 inference(AVATAR_component_clause,[],[f925])). 2.93/3.18 tff(f927,plain,( 2.93/3.18 ~spl6_173 | spl6_149), 2.93/3.18 inference(AVATAR_split_clause,[],[f921,f844,f925])). 2.93/3.18 tff(f929,plain,( 2.93/3.18 spl6_174 <=> max(sK4(sK0,sK1,sK2),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_174])])). 2.93/3.18 tff(f931,plain,( 2.93/3.18 spl6_174 | spl6_149), 2.93/3.18 inference(AVATAR_split_clause,[],[f922,f844,f929])). 2.93/3.18 tff(f932,plain,( 2.93/3.18 spl6_174 | spl6_149), 2.93/3.18 inference(AVATAR_split_clause,[],[f923,f844,f929])). 2.93/3.18 tff(f933,plain,( 2.93/3.18 $sum(c,summation(sK1)) = sK2 | $less($sum(c,summation(sK1)),sK2) | ~spl6_60), 2.93/3.18 inference(superposition,[],[f381,f47])). 2.93/3.18 tff(f936,plain,( 2.93/3.18 $sum(c,summation(sK1)) = sK2 | $less($sum(c,summation(sK1)),sK2) | ~spl6_60), 2.93/3.18 inference(superposition,[],[f47,f381])). 2.93/3.18 tff(f938,plain,( 2.93/3.18 spl6_176 <=> $less($sum(c,summation(sK1)),sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_176])])). 2.93/3.18 tff(f939,plain,( 2.93/3.18 $less($sum(c,summation(sK1)),sK2) | ~spl6_176), 2.93/3.18 inference(AVATAR_component_clause,[],[f938])). 2.93/3.18 tff(f941,plain,( 2.93/3.18 spl6_178 <=> $sum(c,summation(sK1)) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_178])])). 2.93/3.18 tff(f943,plain,( 2.93/3.18 spl6_176 | spl6_178 | ~spl6_60), 2.93/3.18 inference(AVATAR_split_clause,[],[f933,f380,f941,f938])). 2.93/3.18 tff(f944,plain,( 2.93/3.18 spl6_176 | spl6_178 | ~spl6_60), 2.93/3.18 inference(AVATAR_split_clause,[],[f936,f380,f941,f938])). 2.93/3.18 tff(f947,plain,( 2.93/3.18 ~$less(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK1)) | ~spl6_151), 2.93/3.18 inference(resolution,[],[f852,f50])). 2.93/3.18 tff(f948,plain,( 2.93/3.18 max(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK1) = sK5(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_151), 2.93/3.18 inference(resolution,[],[f852,f48])). 2.93/3.18 tff(f949,plain,( 2.93/3.18 max(sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = sK5(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_151), 2.93/3.18 inference(resolution,[],[f852,f47])). 2.93/3.18 tff(f951,plain,( 2.93/3.18 spl6_181 <=> ~$less(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK1))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_181])])). 2.93/3.18 tff(f952,plain,( 2.93/3.18 ~$less(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK1)) | ~spl6_181), 2.93/3.18 inference(AVATAR_component_clause,[],[f951])). 2.93/3.18 tff(f953,plain,( 2.93/3.18 ~spl6_181 | spl6_151), 2.93/3.18 inference(AVATAR_split_clause,[],[f947,f851,f951])). 2.93/3.18 tff(f955,plain,( 2.93/3.18 spl6_182 <=> max(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK1) = sK5(sK0,sK1,sK4(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_182])])). 2.93/3.18 tff(f957,plain,( 2.93/3.18 spl6_182 | spl6_151), 2.93/3.18 inference(AVATAR_split_clause,[],[f948,f851,f955])). 2.93/3.18 tff(f959,plain,( 2.93/3.18 spl6_184 <=> max(sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = sK5(sK0,sK1,sK4(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_184])])). 2.93/3.18 tff(f961,plain,( 2.93/3.18 spl6_184 | spl6_151), 2.93/3.18 inference(AVATAR_split_clause,[],[f949,f851,f959])). 2.93/3.18 tff(f964,plain,( 2.93/3.18 ~$less(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK0)) | ~spl6_153), 2.93/3.18 inference(resolution,[],[f856,f50])). 2.93/3.18 tff(f965,plain,( 2.93/3.18 max(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK0) = sK5(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_153), 2.93/3.18 inference(resolution,[],[f856,f48])). 2.93/3.18 tff(f966,plain,( 2.93/3.18 max(sK0,sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = sK5(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_153), 2.93/3.18 inference(resolution,[],[f856,f47])). 2.93/3.18 tff(f968,plain,( 2.93/3.18 spl6_187 <=> ~$less(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK0))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_187])])). 2.93/3.18 tff(f970,plain,( 2.93/3.18 ~spl6_187 | spl6_153), 2.93/3.18 inference(AVATAR_split_clause,[],[f964,f855,f968])). 2.93/3.18 tff(f972,plain,( 2.93/3.18 spl6_188 <=> max(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK0) = sK5(sK0,sK1,sK4(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_188])])). 2.93/3.18 tff(f974,plain,( 2.93/3.18 spl6_188 | spl6_153), 2.93/3.18 inference(AVATAR_split_clause,[],[f965,f855,f972])). 2.93/3.18 tff(f976,plain,( 2.93/3.18 spl6_190 <=> max(sK0,sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = sK5(sK0,sK1,sK4(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_190])])). 2.93/3.18 tff(f978,plain,( 2.93/3.18 spl6_190 | spl6_153), 2.93/3.18 inference(AVATAR_split_clause,[],[f966,f855,f976])). 2.93/3.18 tff(f979,plain,( 2.93/3.18 spl6_14 | spl6_2 | ~spl6_10), 2.93/3.18 inference(AVATAR_split_clause,[],[f497,f97,f78,f110])). 2.93/3.18 tff(f980,plain,( 2.93/3.18 spl6_12 | spl6_2 | ~spl6_10), 2.93/3.18 inference(AVATAR_split_clause,[],[f496,f97,f78,f106])). 2.93/3.18 tff(f981,plain,( 2.93/3.18 spl6_4 | ~spl6_134), 2.93/3.18 inference(AVATAR_split_clause,[],[f799,f766,f84])). 2.93/3.18 tff(f982,plain,( 2.93/3.18 model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~model_max(sK0,sK1,sK2) | ~spl6_3), 2.93/3.18 inference(resolution,[],[f72,f56])). 2.93/3.18 tff(f983,plain,( 2.93/3.18 $less(sK3(sK0,sK1,sK2),sK2) | ~model_max(sK0,sK1,sK2) | ~spl6_3), 2.93/3.18 inference(resolution,[],[f72,f57])). 2.93/3.18 tff(f984,plain,( 2.93/3.18 ~spl6_11 | spl6_12 | spl6_3), 2.93/3.18 inference(AVATAR_split_clause,[],[f982,f71,f106,f103])). 2.93/3.18 tff(f985,plain,( 2.93/3.18 ~spl6_11 | spl6_14 | spl6_3), 2.93/3.18 inference(AVATAR_split_clause,[],[f983,f71,f110,f103])). 2.93/3.18 tff(f987,plain,( 2.93/3.18 ~model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | (~spl6_0 | ~spl6_8)), 2.93/3.18 inference(resolution,[],[f76,f736])). 2.93/3.18 tff(f988,plain,( 2.93/3.18 ( ! [X0:$int] : (~model_ub(sK0,sK1,X0) | ~$less(X0,sK2)) ) | ~spl6_0), 2.93/3.18 inference(resolution,[],[f76,f58])). 2.93/3.18 tff(f989,plain,( 2.93/3.18 model_ub(sK0,sK1,sK2) | ~spl6_0), 2.93/3.18 inference(resolution,[],[f76,f59])). 2.93/3.18 tff(f991,plain,( 2.93/3.18 spl6_5 <=> ~model_ub(sK0,sK1,sK4(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_5])])). 2.93/3.18 tff(f992,plain,( 2.93/3.18 ~model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_5), 2.93/3.18 inference(AVATAR_component_clause,[],[f991])). 2.93/3.18 tff(f993,plain,( 2.93/3.18 ~spl6_5 | ~spl6_0 | ~spl6_8), 2.93/3.18 inference(AVATAR_split_clause,[],[f987,f91,f75,f991])). 2.93/3.18 tff(f994,plain,( 2.93/3.18 ( ! [X0:$int,X1:$int] : (~model_ub(X0,X1,sK3(sK0,sK1,sK2)) | ~minsol_model_ub(X0,X1,sK2)) ) | ~spl6_14), 2.93/3.18 inference(resolution,[],[f111,f58])). 2.93/3.18 tff(f995,plain,( 2.93/3.18 ( ! [X2:$int,X3:$int] : (~minsol_model_max(X2,X3,sK2) | ~model_max(X2,X3,sK3(sK0,sK1,sK2))) ) | ~spl6_14), 2.93/3.18 inference(resolution,[],[f111,f55])). 2.93/3.18 tff(f998,plain,( 2.93/3.18 $less(summation(sK3(sK0,sK1,sK2)),summation(sK2)) | ~spl6_14), 2.93/3.18 inference(resolution,[],[f111,f49])). 2.93/3.18 tff(f1000,plain,( 2.93/3.18 spl6_192 <=> $less(summation(sK3(sK0,sK1,sK2)),summation(sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_192])])). 2.93/3.18 tff(f1001,plain,( 2.93/3.18 $less(summation(sK3(sK0,sK1,sK2)),summation(sK2)) | ~spl6_192), 2.93/3.18 inference(AVATAR_component_clause,[],[f1000])). 2.93/3.18 tff(f1002,plain,( 2.93/3.18 spl6_192 | ~spl6_14), 2.93/3.18 inference(AVATAR_split_clause,[],[f998,f110,f1000])). 2.93/3.18 tff(f1007,plain,( 2.93/3.18 $less(summation($sum(c,summation(sK1))),summation(sK2)) | ~spl6_176), 2.93/3.18 inference(resolution,[],[f939,f49])). 2.93/3.18 tff(f1009,plain,( 2.93/3.18 spl6_194 <=> $less(summation($sum(c,summation(sK1))),summation(sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_194])])). 2.93/3.18 tff(f1010,plain,( 2.93/3.18 $less(summation($sum(c,summation(sK1))),summation(sK2)) | ~spl6_194), 2.93/3.18 inference(AVATAR_component_clause,[],[f1009])). 2.93/3.18 tff(f1011,plain,( 2.93/3.18 spl6_194 | ~spl6_176), 2.93/3.18 inference(AVATAR_split_clause,[],[f1007,f938,f1009])). 2.93/3.18 tff(f1012,plain,( 2.93/3.18 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | ~spl6_12), 2.93/3.18 inference(resolution,[],[f107,f63])). 2.93/3.18 tff(f1013,plain,( 2.93/3.18 ( ! [X0:$int] : (~minsol_model_max(sK0,sK1,X0) | ~$less(sK3(sK0,sK1,sK2),X0)) ) | ~spl6_12), 2.93/3.18 inference(resolution,[],[f107,f55])). 2.93/3.18 tff(f1014,plain,( 2.93/3.18 minsol_model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | model_max(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_12), 2.93/3.18 inference(resolution,[],[f107,f56])). 2.93/3.18 tff(f1015,plain,( 2.93/3.18 minsol_model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK2)) | ~spl6_12), 2.93/3.18 inference(resolution,[],[f107,f57])). 2.93/3.18 tff(f1017,plain,( 2.93/3.18 spl6_197 <=> ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_197])])). 2.93/3.18 tff(f1018,plain,( 2.93/3.18 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | ~spl6_197), 2.93/3.18 inference(AVATAR_component_clause,[],[f1017])). 2.93/3.18 tff(f1019,plain,( 2.93/3.18 ~spl6_197 | ~spl6_12), 2.93/3.18 inference(AVATAR_split_clause,[],[f1012,f106,f1017])). 2.93/3.18 tff(f1021,plain,( 2.93/3.18 spl6_198 <=> model_max(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_198])])). 2.93/3.18 tff(f1022,plain,( 2.93/3.18 model_max(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_198), 2.93/3.18 inference(AVATAR_component_clause,[],[f1021])). 2.93/3.18 tff(f1024,plain,( 2.93/3.18 spl6_200 <=> minsol_model_max(sK0,sK1,sK3(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_200])])). 2.93/3.18 tff(f1025,plain,( 2.93/3.18 minsol_model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_200), 2.93/3.18 inference(AVATAR_component_clause,[],[f1024])). 2.93/3.18 tff(f1026,plain,( 2.93/3.18 spl6_198 | spl6_200 | ~spl6_12), 2.93/3.18 inference(AVATAR_split_clause,[],[f1014,f106,f1024,f1021])). 2.93/3.18 tff(f1028,plain,( 2.93/3.18 spl6_202 <=> $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_202])])). 2.93/3.18 tff(f1029,plain,( 2.93/3.18 $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK2)) | ~spl6_202), 2.93/3.18 inference(AVATAR_component_clause,[],[f1028])). 2.93/3.18 tff(f1030,plain,( 2.93/3.18 spl6_202 | spl6_200 | ~spl6_12), 2.93/3.18 inference(AVATAR_split_clause,[],[f1015,f106,f1024,f1028])). 2.93/3.18 tff(f1032,plain,( 2.93/3.18 ( ! [X0:$int] : (~model_ub(sK0,sK1,X0) | minsol_model_ub(sK0,sK1,X0) | ~$less(sK4(sK0,sK1,X0),sK2)) ) | ~spl6_0), 2.93/3.18 inference(resolution,[],[f988,f60])). 2.93/3.18 tff(f1033,plain,( 2.93/3.18 ( ! [X2:$int,X1:$int] : (~ub(sK0,sK1,X2) | ~$less(X1,sK2) | $less(X1,$sum(c,summation(X2)))) ) | ~spl6_0), 2.93/3.18 inference(resolution,[],[f988,f64])). 2.93/3.18 tff(f1037,plain,( 2.93/3.18 ~$less(sK2,sK3(sK0,sK1,sK2)) | (~spl6_10 | ~spl6_200)), 2.93/3.18 inference(resolution,[],[f1025,f495])). 2.93/3.18 tff(f1039,plain,( 2.93/3.18 ( ! [X0:$int] : (~model_max(sK0,sK1,X0) | ~$less(X0,sK3(sK0,sK1,sK2))) ) | ~spl6_200), 2.93/3.18 inference(resolution,[],[f1025,f55])). 2.93/3.18 tff(f1041,plain,( 2.93/3.18 spl6_205 <=> ~$less(sK2,sK3(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_205])])). 2.93/3.18 tff(f1042,plain,( 2.93/3.18 ~$less(sK2,sK3(sK0,sK1,sK2)) | ~spl6_205), 2.93/3.18 inference(AVATAR_component_clause,[],[f1041])). 2.93/3.18 tff(f1043,plain,( 2.93/3.18 ~spl6_205 | ~spl6_10 | ~spl6_200), 2.93/3.18 inference(AVATAR_split_clause,[],[f1037,f1024,f97,f1041])). 2.93/3.18 tff(f1046,plain,( 2.93/3.18 ~$less(summation(sK2),summation(sK3(sK0,sK1,sK2))) | ~spl6_205), 2.93/3.18 inference(resolution,[],[f1042,f50])). 2.93/3.18 tff(f1047,plain,( 2.93/3.18 max(sK2,sK3(sK0,sK1,sK2)) = sK2 | ~spl6_205), 2.93/3.18 inference(resolution,[],[f1042,f48])). 2.93/3.18 tff(f1048,plain,( 2.93/3.18 max(sK3(sK0,sK1,sK2),sK2) = sK2 | ~spl6_205), 2.93/3.18 inference(resolution,[],[f1042,f47])). 2.93/3.18 tff(f1050,plain,( 2.93/3.18 spl6_207 <=> ~$less(summation(sK2),summation(sK3(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_207])])). 2.93/3.18 tff(f1051,plain,( 2.93/3.18 ~$less(summation(sK2),summation(sK3(sK0,sK1,sK2))) | ~spl6_207), 2.93/3.18 inference(AVATAR_component_clause,[],[f1050])). 2.93/3.18 tff(f1052,plain,( 2.93/3.18 ~spl6_207 | spl6_205), 2.93/3.18 inference(AVATAR_split_clause,[],[f1046,f1041,f1050])). 2.93/3.18 tff(f1054,plain,( 2.93/3.18 spl6_208 <=> max(sK2,sK3(sK0,sK1,sK2)) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_208])])). 2.93/3.18 tff(f1056,plain,( 2.93/3.18 spl6_208 | spl6_205), 2.93/3.18 inference(AVATAR_split_clause,[],[f1047,f1041,f1054])). 2.93/3.18 tff(f1058,plain,( 2.93/3.18 spl6_210 <=> max(sK3(sK0,sK1,sK2),sK2) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_210])])). 2.93/3.18 tff(f1060,plain,( 2.93/3.18 spl6_210 | spl6_205), 2.93/3.18 inference(AVATAR_split_clause,[],[f1048,f1041,f1058])). 2.93/3.18 tff(f1069,plain,( 2.93/3.18 $less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_192), 2.93/3.18 inference(resolution,[],[f1001,f49])). 2.93/3.18 tff(f1071,plain,( 2.93/3.18 spl6_212 <=> $less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_212])])). 2.93/3.18 tff(f1072,plain,( 2.93/3.18 $less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_212), 2.93/3.18 inference(AVATAR_component_clause,[],[f1071])). 2.93/3.18 tff(f1073,plain,( 2.93/3.18 spl6_212 | ~spl6_192), 2.93/3.18 inference(AVATAR_split_clause,[],[f1069,f1000,f1071])). 2.93/3.18 tff(f1074,plain,( 2.93/3.18 minsol_model_ub(sK0,sK1,sK2) | ~model_ub(sK0,sK1,sK2) | ~spl6_5), 2.93/3.18 inference(resolution,[],[f992,f60])). 2.93/3.18 tff(f1075,plain,( 2.93/3.18 ( ! [X0:$int] : (~ub(sK0,sK1,X0) | $less(sK4(sK0,sK1,sK2),$sum(c,summation(X0)))) ) | ~spl6_5), 2.93/3.18 inference(resolution,[],[f992,f64])). 2.93/3.18 tff(f1076,plain,( 2.93/3.18 ~minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_5), 2.93/3.18 inference(resolution,[],[f992,f59])). 2.93/3.18 tff(f1078,plain,( 2.93/3.18 spl6_135 <=> ~minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_135])])). 2.93/3.18 tff(f1080,plain,( 2.93/3.18 ~spl6_135 | spl6_5), 2.93/3.18 inference(AVATAR_split_clause,[],[f1076,f991,f1078])). 2.93/3.18 tff(f1081,plain,( 2.93/3.18 ~$less(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2)) | (~spl6_12 | ~spl6_200)), 2.93/3.18 inference(resolution,[],[f1013,f1025])). 2.93/3.18 tff(f1082,plain,( 2.93/3.18 ( ! [X0:$int] : (~model_max(sK0,sK1,X0) | model_max(sK0,sK1,sK3(sK0,sK1,X0)) | ~$less(sK3(sK0,sK1,sK2),X0)) ) | ~spl6_12), 2.93/3.18 inference(resolution,[],[f1013,f56])). 2.93/3.18 tff(f1083,plain,( 2.93/3.18 ( ! [X1:$int] : (~model_max(sK0,sK1,X1) | $less(sK3(sK0,sK1,X1),X1) | ~$less(sK3(sK0,sK1,sK2),X1)) ) | ~spl6_12), 2.93/3.18 inference(resolution,[],[f1013,f57])). 2.93/3.18 tff(f1085,plain,( 2.93/3.18 spl6_215 <=> ~$less(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_215])])). 2.93/3.18 tff(f1086,plain,( 2.93/3.18 ~$less(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2)) | ~spl6_215), 2.93/3.18 inference(AVATAR_component_clause,[],[f1085])). 2.93/3.18 tff(f1087,plain,( 2.93/3.18 ~spl6_215 | ~spl6_12 | ~spl6_200), 2.93/3.18 inference(AVATAR_split_clause,[],[f1081,f1024,f106,f1085])). 2.93/3.18 tff(f1092,plain,( 2.93/3.18 ( ! [X0:$int,X1:$int] : (~model_max(X0,X1,sK2) | model_max(X0,X1,sK3(X0,X1,sK2)) | ~model_max(X0,X1,sK3(sK0,sK1,sK2))) ) | ~spl6_14), 2.93/3.18 inference(resolution,[],[f995,f56])). 2.93/3.18 tff(f1093,plain,( 2.93/3.18 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,sK2) | $less(sK3(X2,X3,sK2),sK2) | ~model_max(X2,X3,sK3(sK0,sK1,sK2))) ) | ~spl6_14), 2.93/3.18 inference(resolution,[],[f995,f57])). 2.93/3.18 tff(f1095,plain,( 2.93/3.18 ( ! [X0:$int,X1:$int] : (~ub(X0,X1,max(sK0,sK1)) | model_ub(X0,X1,sK3(sK0,sK1,sK2))) ) | ~spl6_197), 2.93/3.18 inference(resolution,[],[f1018,f64])). 2.93/3.18 tff(f1096,plain,( 2.93/3.18 ( ! [X2:$int] : (ub(X2,$sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) | $less(sK3(sK0,sK1,sK2),X2)) ) | ~spl6_197), 2.93/3.18 inference(resolution,[],[f1018,f53])). 2.93/3.18 tff(f1097,plain,( 2.93/3.18 ( ! [X3:$int] : (ub($sum(c,summation(max(sK0,sK1))),X3,sK3(sK0,sK1,sK2)) | $less(sK3(sK0,sK1,sK2),X3)) ) | ~spl6_197), 2.93/3.18 inference(resolution,[],[f1018,f53])). 2.93/3.18 tff(f1098,plain,( 2.93/3.18 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_197), 2.93/3.18 inference(resolution,[],[f1018,f50])). 2.93/3.18 tff(f1099,plain,( 2.93/3.18 max(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) = sK3(sK0,sK1,sK2) | ~spl6_197), 2.93/3.18 inference(resolution,[],[f1018,f48])). 2.93/3.18 tff(f1100,plain,( 2.93/3.18 max($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_197), 2.93/3.18 inference(resolution,[],[f1018,f47])). 2.93/3.18 tff(f1101,plain,( 2.93/3.18 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_197), 2.93/3.18 inference(superposition,[],[f1018,f48])). 2.93/3.18 tff(f1102,plain,( 2.93/3.18 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_197), 2.93/3.18 inference(superposition,[],[f1018,f47])). 2.93/3.18 tff(f1104,plain,( 2.93/3.18 spl6_217 <=> ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1)))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_217])])). 2.93/3.18 tff(f1105,plain,( 2.93/3.18 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_217), 2.93/3.18 inference(AVATAR_component_clause,[],[f1104])). 2.93/3.18 tff(f1106,plain,( 2.93/3.18 ~spl6_217 | spl6_197), 2.93/3.18 inference(AVATAR_split_clause,[],[f1098,f1017,f1104])). 2.93/3.18 tff(f1108,plain,( 2.93/3.18 spl6_218 <=> max(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) = sK3(sK0,sK1,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_218])])). 2.93/3.18 tff(f1109,plain,( 2.93/3.18 max(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) = sK3(sK0,sK1,sK2) | ~spl6_218), 2.93/3.18 inference(AVATAR_component_clause,[],[f1108])). 2.93/3.18 tff(f1110,plain,( 2.93/3.18 spl6_218 | spl6_197), 2.93/3.18 inference(AVATAR_split_clause,[],[f1099,f1017,f1108])). 2.93/3.18 tff(f1112,plain,( 2.93/3.18 spl6_220 <=> max($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_220])])). 2.93/3.18 tff(f1113,plain,( 2.93/3.18 max($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_220), 2.93/3.18 inference(AVATAR_component_clause,[],[f1112])). 2.93/3.18 tff(f1114,plain,( 2.93/3.18 spl6_220 | spl6_197), 2.93/3.18 inference(AVATAR_split_clause,[],[f1100,f1017,f1112])). 2.93/3.18 tff(f1116,plain,( 2.93/3.18 spl6_223 <=> ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK0)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_223])])). 2.93/3.18 tff(f1117,plain,( 2.93/3.18 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) | ~spl6_223), 2.93/3.18 inference(AVATAR_component_clause,[],[f1116])). 2.93/3.18 tff(f1118,plain,( 2.93/3.18 spl6_38 | ~spl6_223 | spl6_197), 2.93/3.18 inference(AVATAR_split_clause,[],[f1101,f1017,f1116,f246])). 2.93/3.18 tff(f1121,plain,( 2.93/3.18 ( ! [X2:$int,X1:$int] : (~$less(X1,sK2) | $less(X1,$sum(c,summation(X2))) | $less(X2,sK0) | $less(X2,sK1)) ) | ~spl6_0), 2.93/3.18 inference(resolution,[],[f1033,f53])). 2.93/3.18 tff(f1125,plain,( 2.93/3.18 ( ! [X2:$int,X1:$int] : (~ub(sK0,sK1,X2) | ~$less(sK4(sK0,sK1,X1),sK2) | minsol_model_ub(sK0,sK1,X1) | $less(X1,$sum(c,summation(X2)))) ) | ~spl6_0), 2.93/3.18 inference(resolution,[],[f1032,f64])). 2.93/3.18 tff(f1136,plain,( 2.93/3.18 ~$less(summation(sK3(sK0,sK1,sK2)),summation(sK3(sK0,sK1,sK2))) | ~spl6_215), 2.93/3.18 inference(resolution,[],[f1086,f50])). 2.93/3.18 tff(f1137,plain,( 2.93/3.18 max(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_215), 2.93/3.18 inference(resolution,[],[f1086,f48])). 2.93/3.18 tff(f1138,plain,( 2.93/3.18 max(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_215), 2.93/3.18 inference(resolution,[],[f1086,f47])). 2.93/3.18 tff(f1140,plain,( 2.93/3.18 spl6_225 <=> ~$less(summation(sK3(sK0,sK1,sK2)),summation(sK3(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_225])])). 2.93/3.18 tff(f1141,plain,( 2.93/3.18 ~$less(summation(sK3(sK0,sK1,sK2)),summation(sK3(sK0,sK1,sK2))) | ~spl6_225), 2.93/3.18 inference(AVATAR_component_clause,[],[f1140])). 2.93/3.18 tff(f1142,plain,( 2.93/3.18 ~spl6_225 | spl6_215), 2.93/3.18 inference(AVATAR_split_clause,[],[f1136,f1085,f1140])). 2.93/3.18 tff(f1144,plain,( 2.93/3.18 spl6_226 <=> max(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_226])])). 2.93/3.18 tff(f1145,plain,( 2.93/3.18 max(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_226), 2.93/3.18 inference(AVATAR_component_clause,[],[f1144])). 2.93/3.18 tff(f1146,plain,( 2.93/3.18 spl6_226 | spl6_215), 2.93/3.18 inference(AVATAR_split_clause,[],[f1137,f1085,f1144])). 2.93/3.18 tff(f1147,plain,( 2.93/3.18 spl6_226 | spl6_215), 2.93/3.18 inference(AVATAR_split_clause,[],[f1138,f1085,f1144])). 2.93/3.18 tff(f1151,plain,( 2.93/3.18 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK0)))) | ~spl6_223), 2.93/3.18 inference(resolution,[],[f1117,f50])). 2.93/3.18 tff(f1152,plain,( 2.93/3.18 max(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) = sK3(sK0,sK1,sK2) | ~spl6_223), 2.93/3.18 inference(resolution,[],[f1117,f48])). 2.93/3.18 tff(f1153,plain,( 2.93/3.18 max($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_223), 2.93/3.18 inference(resolution,[],[f1117,f47])). 2.93/3.18 tff(f1155,plain,( 2.93/3.18 spl6_229 <=> ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK0))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_229])])). 2.93/3.18 tff(f1156,plain,( 2.93/3.18 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK0)))) | ~spl6_229), 2.93/3.18 inference(AVATAR_component_clause,[],[f1155])). 2.93/3.18 tff(f1157,plain,( 2.93/3.18 ~spl6_229 | spl6_223), 2.93/3.18 inference(AVATAR_split_clause,[],[f1151,f1116,f1155])). 2.93/3.18 tff(f1159,plain,( 2.93/3.18 spl6_230 <=> max(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) = sK3(sK0,sK1,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_230])])). 2.93/3.18 tff(f1160,plain,( 2.93/3.18 max(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) = sK3(sK0,sK1,sK2) | ~spl6_230), 2.93/3.18 inference(AVATAR_component_clause,[],[f1159])). 2.93/3.18 tff(f1161,plain,( 2.93/3.18 spl6_230 | spl6_223), 2.93/3.18 inference(AVATAR_split_clause,[],[f1152,f1116,f1159])). 2.93/3.18 tff(f1163,plain,( 2.93/3.18 spl6_232 <=> max($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_232])])). 2.93/3.18 tff(f1164,plain,( 2.93/3.18 max($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_232), 2.93/3.18 inference(AVATAR_component_clause,[],[f1163])). 2.93/3.18 tff(f1165,plain,( 2.93/3.18 spl6_232 | spl6_223), 2.93/3.18 inference(AVATAR_split_clause,[],[f1153,f1116,f1163])). 2.93/3.18 tff(f1173,plain,( 2.93/3.18 $less(summation(summation(summation(sK4(sK0,sK1,sK2)))),summation(summation(summation(sK2)))) | ~spl6_140), 2.93/3.18 inference(resolution,[],[f812,f49])). 2.93/3.18 tff(f1175,plain,( 2.93/3.18 spl6_234 <=> $less(summation(summation(summation(sK4(sK0,sK1,sK2)))),summation(summation(summation(sK2))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_234])])). 2.93/3.18 tff(f1176,plain,( 2.93/3.18 $less(summation(summation(summation(sK4(sK0,sK1,sK2)))),summation(summation(summation(sK2)))) | ~spl6_234), 2.93/3.18 inference(AVATAR_component_clause,[],[f1175])). 2.93/3.18 tff(f1177,plain,( 2.93/3.18 spl6_234 | ~spl6_140), 2.93/3.18 inference(AVATAR_split_clause,[],[f1173,f811,f1175])). 2.93/3.18 tff(f1181,plain,( 2.93/3.18 ( ! [X1:$int] : (~$less(X1,sK3(sK0,sK1,sK2)) | $less(X1,$sum(c,summation(max(sK0,sK1))))) ) | ~spl6_200), 2.93/3.18 inference(resolution,[],[f1039,f62])). 2.93/3.18 tff(f1182,plain,( 2.93/3.18 ( ! [X2:$int] : (~minsol_model_max(sK0,sK1,X2) | ~$less(X2,sK3(sK0,sK1,sK2))) ) | ~spl6_200), 2.93/3.18 inference(resolution,[],[f1039,f54])). 2.93/3.18 tff(f1190,plain,( 2.93/3.18 $less(summation(summation(summation(sK3(sK0,sK1,sK2)))),summation(summation(summation(sK2)))) | ~spl6_212), 2.93/3.18 inference(resolution,[],[f1072,f49])). 2.93/3.18 tff(f1192,plain,( 2.93/3.18 spl6_236 <=> $less(summation(summation(summation(sK3(sK0,sK1,sK2)))),summation(summation(summation(sK2))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_236])])). 2.93/3.18 tff(f1193,plain,( 2.93/3.18 $less(summation(summation(summation(sK3(sK0,sK1,sK2)))),summation(summation(summation(sK2)))) | ~spl6_236), 2.93/3.18 inference(AVATAR_component_clause,[],[f1192])). 2.93/3.18 tff(f1194,plain,( 2.93/3.18 spl6_236 | ~spl6_212), 2.93/3.18 inference(AVATAR_split_clause,[],[f1190,f1071,f1192])). 2.93/3.18 tff(f1195,plain,( 2.93/3.18 ~$less(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) | ~spl6_67), 2.93/3.18 inference(resolution,[],[f443,f49])). 2.93/3.18 tff(f1198,plain,( 2.93/3.18 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK5(sK0,sK1,sK2)))))) | ~spl6_67), 2.93/3.18 inference(resolution,[],[f443,f50])). 2.93/3.18 tff(f1199,plain,( 2.93/3.18 summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK5(sK0,sK1,sK2))))) | ~spl6_67), 2.93/3.18 inference(resolution,[],[f443,f48])). 2.93/3.18 tff(f1200,plain,( 2.93/3.18 summation(sK2) = max(summation($sum(c,summation(sK5(sK0,sK1,sK2)))),summation(sK2)) | ~spl6_67), 2.93/3.18 inference(resolution,[],[f443,f47])). 2.93/3.18 tff(f1201,plain,( 2.93/3.18 ~spl6_103 | spl6_67), 2.93/3.18 inference(AVATAR_split_clause,[],[f1198,f442,f647])). 2.93/3.18 tff(f1202,plain,( 2.93/3.18 spl6_104 | spl6_67), 2.93/3.18 inference(AVATAR_split_clause,[],[f1199,f442,f651])). 2.93/3.18 tff(f1203,plain,( 2.93/3.18 spl6_106 | spl6_67), 2.93/3.18 inference(AVATAR_split_clause,[],[f1200,f442,f655])). 2.93/3.18 tff(f1204,plain,( 2.93/3.18 ~$less(sK5(sK0,sK1,sK2),sK0) | ~spl6_73), 2.93/3.18 inference(resolution,[],[f468,f49])). 2.93/3.18 tff(f1207,plain,( 2.93/3.18 ~$less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK0))) | ~spl6_73), 2.93/3.18 inference(resolution,[],[f468,f50])). 2.93/3.18 tff(f1208,plain,( 2.93/3.18 summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation(sK0)) | ~spl6_73), 2.93/3.18 inference(resolution,[],[f468,f48])). 2.93/3.18 tff(f1209,plain,( 2.93/3.18 summation(sK5(sK0,sK1,sK2)) = max(summation(sK0),summation(sK5(sK0,sK1,sK2))) | ~spl6_73), 2.93/3.18 inference(resolution,[],[f468,f47])). 2.93/3.18 tff(f1211,plain,( 2.93/3.18 spl6_239 <=> ~$less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK0)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_239])])). 2.93/3.18 tff(f1212,plain,( 2.93/3.18 ~$less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK0))) | ~spl6_239), 2.93/3.18 inference(AVATAR_component_clause,[],[f1211])). 2.93/3.18 tff(f1213,plain,( 2.93/3.18 ~spl6_239 | spl6_73), 2.93/3.18 inference(AVATAR_split_clause,[],[f1207,f467,f1211])). 2.93/3.18 tff(f1215,plain,( 2.93/3.18 spl6_240 <=> summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation(sK0))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_240])])). 2.93/3.18 tff(f1217,plain,( 2.93/3.18 spl6_240 | spl6_73), 2.93/3.18 inference(AVATAR_split_clause,[],[f1208,f467,f1215])). 2.93/3.18 tff(f1219,plain,( 2.93/3.18 spl6_242 <=> summation(sK5(sK0,sK1,sK2)) = max(summation(sK0),summation(sK5(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_242])])). 2.93/3.18 tff(f1221,plain,( 2.93/3.18 spl6_242 | spl6_73), 2.93/3.18 inference(AVATAR_split_clause,[],[f1209,f467,f1219])). 2.93/3.18 tff(f1222,plain,( 2.93/3.18 $sum(c,summation(sK5(sK0,sK1,sK2))) = sK2 | $less($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) | ~spl6_68), 2.93/3.18 inference(superposition,[],[f447,f47])). 2.93/3.18 tff(f1225,plain,( 2.93/3.18 $sum(c,summation(sK5(sK0,sK1,sK2))) = sK2 | $less($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) | ~spl6_68), 2.93/3.18 inference(superposition,[],[f47,f447])). 2.93/3.18 tff(f1226,plain,( 2.93/3.18 spl6_110 | spl6_112 | ~spl6_68), 2.93/3.18 inference(AVATAR_split_clause,[],[f1222,f446,f676,f673])). 2.93/3.18 tff(f1227,plain,( 2.93/3.18 spl6_110 | spl6_112 | ~spl6_68), 2.93/3.18 inference(AVATAR_split_clause,[],[f1225,f446,f676,f673])). 2.93/3.18 tff(f1228,plain,( 2.93/3.18 $sum(c,summation(sK5(sK0,sK1,sK2))) = sK2 | $less($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) | ~spl6_70), 2.93/3.18 inference(superposition,[],[f451,f48])). 2.93/3.18 tff(f1231,plain,( 2.93/3.18 $sum(c,summation(sK5(sK0,sK1,sK2))) = sK2 | $less($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) | ~spl6_70), 2.93/3.18 inference(superposition,[],[f48,f451])). 2.93/3.18 tff(f1232,plain,( 2.93/3.18 spl6_110 | spl6_112 | ~spl6_70), 2.93/3.18 inference(AVATAR_split_clause,[],[f1228,f450,f676,f673])). 2.93/3.18 tff(f1233,plain,( 2.93/3.18 spl6_110 | spl6_112 | ~spl6_70), 2.93/3.18 inference(AVATAR_split_clause,[],[f1231,f450,f676,f673])). 2.93/3.18 tff(f1235,plain,( 2.93/3.18 ~model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_124), 2.93/3.18 inference(resolution,[],[f743,f63])). 2.93/3.18 tff(f1238,plain,( 2.93/3.18 ( ! [X4:$int] : (~ub(X4,$sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2))) ) | ~spl6_124), 2.93/3.18 inference(resolution,[],[f743,f51])). 2.93/3.18 tff(f1239,plain,( 2.93/3.18 ( ! [X5:$int] : (~ub($sum(c,summation(max(sK0,sK1))),X5,sK4(sK0,sK1,sK2))) ) | ~spl6_124), 2.93/3.18 inference(resolution,[],[f743,f52])). 2.93/3.18 tff(f1240,plain,( 2.93/3.18 $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_124), 2.93/3.18 inference(resolution,[],[f743,f49])). 2.93/3.18 tff(f1241,plain,( 2.93/3.18 $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_124), 2.93/3.18 inference(superposition,[],[f743,f48])). 2.93/3.18 tff(f1242,plain,( 2.93/3.18 $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_124), 2.93/3.18 inference(superposition,[],[f743,f47])). 2.93/3.18 tff(f1244,plain,( 2.93/3.18 spl6_245 <=> ~model_max(sK0,sK1,sK4(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_245])])). 2.93/3.18 tff(f1245,plain,( 2.93/3.18 ~model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_245), 2.93/3.18 inference(AVATAR_component_clause,[],[f1244])). 2.93/3.18 tff(f1246,plain,( 2.93/3.18 ~spl6_245 | ~spl6_124), 2.93/3.18 inference(AVATAR_split_clause,[],[f1235,f742,f1244])). 2.93/3.18 tff(f1248,plain,( 2.93/3.18 spl6_246 <=> $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1)))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_246])])). 2.93/3.18 tff(f1249,plain,( 2.93/3.18 $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_246), 2.93/3.18 inference(AVATAR_component_clause,[],[f1248])). 2.93/3.18 tff(f1250,plain,( 2.93/3.18 spl6_246 | ~spl6_124), 2.93/3.18 inference(AVATAR_split_clause,[],[f1240,f742,f1248])). 2.93/3.18 tff(f1252,plain,( 2.93/3.18 spl6_248 <=> $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK0)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_248])])). 2.93/3.18 tff(f1253,plain,( 2.93/3.18 $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK0))) | ~spl6_248), 2.93/3.18 inference(AVATAR_component_clause,[],[f1252])). 2.93/3.18 tff(f1254,plain,( 2.93/3.18 spl6_38 | spl6_248 | ~spl6_124), 2.93/3.18 inference(AVATAR_split_clause,[],[f1241,f742,f1252,f246])). 2.93/3.18 tff(f1257,plain,( 2.93/3.18 model_ub(sK0,sK1,sK2) | (~spl6_19 | ~spl6_20)), 2.93/3.18 inference(resolution,[],[f814,f162])). 2.93/3.18 tff(f1259,plain,( 2.93/3.18 ~minsol_model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_245), 2.93/3.18 inference(resolution,[],[f1245,f54])). 2.93/3.18 tff(f1261,plain,( 2.93/3.18 spl6_251 <=> ~minsol_model_max(sK0,sK1,sK4(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_251])])). 2.93/3.18 tff(f1263,plain,( 2.93/3.18 ~spl6_251 | spl6_245), 2.93/3.18 inference(AVATAR_split_clause,[],[f1259,f1244,f1261])). 2.93/3.18 tff(f1285,plain,( 2.93/3.18 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK0))))) | ~spl6_81), 2.93/3.18 inference(resolution,[],[f550,f50])). 2.93/3.18 tff(f1286,plain,( 2.93/3.18 summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK0)))) | ~spl6_81), 2.93/3.18 inference(resolution,[],[f550,f48])). 2.93/3.18 tff(f1287,plain,( 2.93/3.18 summation(sK2) = max(summation($sum(c,summation(sK0))),summation(sK2)) | ~spl6_81), 2.93/3.18 inference(resolution,[],[f550,f47])). 2.93/3.18 tff(f1289,plain,( 2.93/3.18 spl6_253 <=> ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK0)))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_253])])). 2.93/3.18 tff(f1290,plain,( 2.93/3.18 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK0))))) | ~spl6_253), 2.93/3.18 inference(AVATAR_component_clause,[],[f1289])). 2.93/3.18 tff(f1291,plain,( 2.93/3.18 ~spl6_253 | spl6_81), 2.93/3.18 inference(AVATAR_split_clause,[],[f1285,f549,f1289])). 2.93/3.18 tff(f1293,plain,( 2.93/3.18 spl6_254 <=> summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK0))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_254])])). 2.93/3.18 tff(f1295,plain,( 2.93/3.18 spl6_254 | spl6_81), 2.93/3.18 inference(AVATAR_split_clause,[],[f1286,f549,f1293])). 2.93/3.18 tff(f1297,plain,( 2.93/3.18 spl6_256 <=> summation(sK2) = max(summation($sum(c,summation(sK0))),summation(sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_256])])). 2.93/3.18 tff(f1299,plain,( 2.93/3.18 spl6_256 | spl6_81), 2.93/3.18 inference(AVATAR_split_clause,[],[f1287,f549,f1297])). 2.93/3.18 tff(f1302,plain,( 2.93/3.18 $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK2)))) | (~spl6_5 | ~spl6_20)), 2.93/3.18 inference(resolution,[],[f781,f992])). 2.93/3.18 tff(f1308,plain,( 2.93/3.18 $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK2)))) | ~minsol_model_ub(sK0,sK1,sK2) | (~spl6_14 | ~spl6_20)), 2.93/3.18 inference(resolution,[],[f781,f994])). 2.93/3.18 tff(f1310,plain,( 2.93/3.18 spl6_258 <=> $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK2))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_258])])). 2.93/3.18 tff(f1312,plain,( 2.93/3.18 spl6_258 | spl6_5 | ~spl6_20), 2.93/3.18 inference(AVATAR_split_clause,[],[f1302,f161,f991,f1310])). 2.93/3.18 tff(f1314,plain,( 2.93/3.18 spl6_260 <=> $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK2))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_260])])). 2.93/3.18 tff(f1315,plain,( 2.93/3.18 $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK2)))) | ~spl6_260), 2.93/3.18 inference(AVATAR_component_clause,[],[f1314])). 2.93/3.18 tff(f1316,plain,( 2.93/3.18 ~spl6_1 | spl6_260 | ~spl6_14 | ~spl6_20), 2.93/3.18 inference(AVATAR_split_clause,[],[f1308,f161,f110,f1314,f68])). 2.93/3.18 tff(f1322,plain,( 2.93/3.18 $sum(c,summation(sK0)) = sK2 | $less($sum(c,summation(sK0)),sK2) | ~spl6_82), 2.93/3.18 inference(superposition,[],[f554,f47])). 2.93/3.18 tff(f1325,plain,( 2.93/3.18 $sum(c,summation(sK0)) = sK2 | $less($sum(c,summation(sK0)),sK2) | ~spl6_82), 2.93/3.18 inference(superposition,[],[f47,f554])). 2.93/3.18 tff(f1327,plain,( 2.93/3.18 spl6_262 <=> $less($sum(c,summation(sK0)),sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_262])])). 2.93/3.18 tff(f1328,plain,( 2.93/3.18 $less($sum(c,summation(sK0)),sK2) | ~spl6_262), 2.93/3.18 inference(AVATAR_component_clause,[],[f1327])). 2.93/3.18 tff(f1330,plain,( 2.93/3.18 spl6_264 <=> $sum(c,summation(sK0)) = sK2), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_264])])). 2.93/3.18 tff(f1332,plain,( 2.93/3.18 spl6_262 | spl6_264 | ~spl6_82), 2.93/3.18 inference(AVATAR_split_clause,[],[f1322,f553,f1330,f1327])). 2.93/3.18 tff(f1333,plain,( 2.93/3.18 spl6_262 | spl6_264 | ~spl6_82), 2.93/3.18 inference(AVATAR_split_clause,[],[f1325,f553,f1330,f1327])). 2.93/3.18 tff(f1342,plain,( 2.93/3.18 $less(summation($sum(c,summation(sK0))),summation(sK2)) | ~spl6_262), 2.93/3.18 inference(resolution,[],[f1328,f49])). 2.93/3.18 tff(f1344,plain,( 2.93/3.18 spl6_266 <=> $less(summation($sum(c,summation(sK0))),summation(sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_266])])). 2.93/3.18 tff(f1345,plain,( 2.93/3.18 $less(summation($sum(c,summation(sK0))),summation(sK2)) | ~spl6_266), 2.93/3.18 inference(AVATAR_component_clause,[],[f1344])). 2.93/3.18 tff(f1346,plain,( 2.93/3.18 spl6_266 | ~spl6_262), 2.93/3.18 inference(AVATAR_split_clause,[],[f1342,f1327,f1344])). 2.93/3.18 tff(f1360,plain,( 2.93/3.18 ( ! [X0:$int,X1:$int] : (~ub(X0,X1,sK0) | model_ub(X0,X1,sK3(sK0,sK1,sK2)) | $less(sK0,sK1)) ) | ~spl6_197), 2.93/3.18 inference(superposition,[],[f1095,f48])). 2.93/3.18 tff(f1361,plain,( 2.93/3.18 ( ! [X2:$int,X3:$int] : (~ub(X2,X3,sK1) | model_ub(X2,X3,sK3(sK0,sK1,sK2)) | $less(sK1,sK0)) ) | ~spl6_197), 2.93/3.18 inference(superposition,[],[f1095,f47])). 2.93/3.18 tff(f1363,plain,( 2.93/3.18 spl6_268 <=> ! [X1 : $int,X0 : $int] : (~ub(X0,X1,sK0) | model_ub(X0,X1,sK3(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_268])])). 2.93/3.18 tff(f1365,plain,( 2.93/3.18 spl6_38 | spl6_268 | spl6_197), 2.93/3.18 inference(AVATAR_split_clause,[],[f1360,f1017,f1363,f246])). 2.93/3.18 tff(f1369,plain,( 2.93/3.18 ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(max(sK0,sK1)))))) | ~spl6_217), 2.93/3.18 inference(resolution,[],[f1105,f50])). 2.93/3.18 tff(f1370,plain,( 2.93/3.18 summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_217), 2.93/3.18 inference(resolution,[],[f1105,f48])). 2.93/3.18 tff(f1371,plain,( 2.93/3.18 summation(sK3(sK0,sK1,sK2)) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK3(sK0,sK1,sK2))) | ~spl6_217), 2.93/3.18 inference(resolution,[],[f1105,f47])). 2.93/3.18 tff(f1372,plain,( 2.93/3.18 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK0)))) | $less(sK0,sK1) | ~spl6_217), 2.93/3.18 inference(superposition,[],[f1105,f48])). 2.93/3.18 tff(f1373,plain,( 2.93/3.18 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK1)))) | $less(sK1,sK0) | ~spl6_217), 2.93/3.18 inference(superposition,[],[f1105,f47])). 2.93/3.18 tff(f1375,plain,( 2.93/3.18 spl6_271 <=> ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(max(sK0,sK1))))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_271])])). 2.93/3.18 tff(f1376,plain,( 2.93/3.18 ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(max(sK0,sK1)))))) | ~spl6_271), 2.93/3.18 inference(AVATAR_component_clause,[],[f1375])). 2.93/3.18 tff(f1377,plain,( 2.93/3.18 ~spl6_271 | spl6_217), 2.93/3.18 inference(AVATAR_split_clause,[],[f1369,f1104,f1375])). 2.93/3.18 tff(f1379,plain,( 2.93/3.18 spl6_272 <=> summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1)))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_272])])). 2.93/3.18 tff(f1381,plain,( 2.93/3.18 spl6_272 | spl6_217), 2.93/3.18 inference(AVATAR_split_clause,[],[f1370,f1104,f1379])). 2.93/3.18 tff(f1383,plain,( 2.93/3.18 spl6_274 <=> summation(sK3(sK0,sK1,sK2)) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK3(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_274])])). 2.93/3.18 tff(f1385,plain,( 2.93/3.18 spl6_274 | spl6_217), 2.93/3.18 inference(AVATAR_split_clause,[],[f1371,f1104,f1383])). 2.93/3.18 tff(f1386,plain,( 2.93/3.18 spl6_38 | ~spl6_229 | spl6_217), 2.93/3.18 inference(AVATAR_split_clause,[],[f1372,f1104,f1155,f246])). 2.93/3.18 tff(f1405,plain,( 2.93/3.18 $less(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2)) | ~spl6_92), 2.93/3.18 inference(resolution,[],[f602,f49])). 2.93/3.18 tff(f1409,plain,( 2.93/3.18 spl6_276 <=> $less(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_276])])). 2.93/3.18 tff(f1410,plain,( 2.93/3.18 $less(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2)) | ~spl6_276), 2.93/3.18 inference(AVATAR_component_clause,[],[f1409])). 2.93/3.18 tff(f1411,plain,( 2.93/3.18 spl6_276 | ~spl6_92), 2.93/3.18 inference(AVATAR_split_clause,[],[f1405,f601,f1409])). 2.93/3.18 tff(f1422,plain,( 2.93/3.18 ( ! [X15:$int] : ($less(sK3(sK0,sK1,sK2),$sum(c,summation(X15))) | $less(X15,sK0) | $less(X15,sK1)) ) | (~spl6_0 | ~spl6_14)), 2.93/3.18 inference(resolution,[],[f1121,f111])). 2.93/3.18 tff(f1424,plain,( 2.93/3.18 ( ! [X19:$int] : ($less(sK4(sK0,sK1,sK2),$sum(c,summation(X19))) | $less(X19,sK0) | $less(X19,sK1)) ) | (~spl6_0 | ~spl6_8)), 2.93/3.18 inference(resolution,[],[f1121,f92])). 2.93/3.18 tff(f1431,plain,( 2.93/3.18 max(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) = sK3(sK0,sK1,sK2) | $less(sK0,sK1) | ~spl6_218), 2.93/3.18 inference(superposition,[],[f1109,f48])). 2.93/3.18 tff(f1432,plain,( 2.93/3.18 max(sK3(sK0,sK1,sK2),$sum(c,summation(sK1))) = sK3(sK0,sK1,sK2) | $less(sK1,sK0) | ~spl6_218), 2.93/3.18 inference(superposition,[],[f1109,f47])). 2.93/3.18 tff(f1433,plain,( 2.93/3.18 $sum(c,summation(max(sK0,sK1))) = sK3(sK0,sK1,sK2) | $less($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) | ~spl6_218), 2.93/3.18 inference(superposition,[],[f1109,f47])). 2.93/3.18 tff(f1436,plain,( 2.93/3.18 $sum(c,summation(max(sK0,sK1))) = sK3(sK0,sK1,sK2) | $less($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) | ~spl6_218), 2.93/3.18 inference(superposition,[],[f47,f1109])). 2.93/3.18 tff(f1437,plain,( 2.93/3.18 spl6_38 | spl6_230 | ~spl6_218), 2.93/3.18 inference(AVATAR_split_clause,[],[f1431,f1108,f1159,f246])). 2.93/3.18 tff(f1439,plain,( 2.93/3.18 spl6_278 <=> $less($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_278])])). 2.93/3.18 tff(f1440,plain,( 2.93/3.18 $less($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) | ~spl6_278), 2.93/3.18 inference(AVATAR_component_clause,[],[f1439])). 2.93/3.18 tff(f1442,plain,( 2.93/3.18 spl6_280 <=> $sum(c,summation(max(sK0,sK1))) = sK3(sK0,sK1,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_280])])). 2.93/3.18 tff(f1443,plain,( 2.93/3.18 $sum(c,summation(max(sK0,sK1))) = sK3(sK0,sK1,sK2) | ~spl6_280), 2.93/3.18 inference(AVATAR_component_clause,[],[f1442])). 2.93/3.18 tff(f1444,plain,( 2.93/3.18 spl6_278 | spl6_280 | ~spl6_218), 2.93/3.18 inference(AVATAR_split_clause,[],[f1433,f1108,f1442,f1439])). 2.93/3.18 tff(f1445,plain,( 2.93/3.18 spl6_278 | spl6_280 | ~spl6_218), 2.93/3.18 inference(AVATAR_split_clause,[],[f1436,f1108,f1442,f1439])). 2.93/3.18 tff(f1449,plain,( 2.93/3.18 ~$less(summation(summation(sK2)),summation(summation(sK4(sK0,sK1,sK2)))) | ~spl6_143), 2.93/3.18 inference(resolution,[],[f830,f50])). 2.93/3.18 tff(f1450,plain,( 2.93/3.18 summation(sK2) = max(summation(sK2),summation(sK4(sK0,sK1,sK2))) | ~spl6_143), 2.93/3.18 inference(resolution,[],[f830,f48])). 2.93/3.18 tff(f1451,plain,( 2.93/3.18 summation(sK2) = max(summation(sK4(sK0,sK1,sK2)),summation(sK2)) | ~spl6_143), 2.93/3.18 inference(resolution,[],[f830,f47])). 2.93/3.18 tff(f1453,plain,( 2.93/3.18 spl6_283 <=> ~$less(summation(summation(sK2)),summation(summation(sK4(sK0,sK1,sK2))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_283])])). 2.93/3.18 tff(f1454,plain,( 2.93/3.18 ~$less(summation(summation(sK2)),summation(summation(sK4(sK0,sK1,sK2)))) | ~spl6_283), 2.93/3.18 inference(AVATAR_component_clause,[],[f1453])). 2.93/3.18 tff(f1455,plain,( 2.93/3.18 ~spl6_283 | spl6_143), 2.93/3.18 inference(AVATAR_split_clause,[],[f1449,f829,f1453])). 2.93/3.18 tff(f1457,plain,( 2.93/3.18 spl6_284 <=> summation(sK2) = max(summation(sK2),summation(sK4(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_284])])). 2.93/3.18 tff(f1459,plain,( 2.93/3.18 spl6_284 | spl6_143), 2.93/3.18 inference(AVATAR_split_clause,[],[f1450,f829,f1457])). 2.93/3.18 tff(f1461,plain,( 2.93/3.18 spl6_286 <=> summation(sK2) = max(summation(sK4(sK0,sK1,sK2)),summation(sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_286])])). 2.93/3.18 tff(f1463,plain,( 2.93/3.18 spl6_286 | spl6_143), 2.93/3.18 inference(AVATAR_split_clause,[],[f1451,f829,f1461])). 2.93/3.18 tff(f1464,plain,( 2.93/3.18 max($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | $less(sK0,sK1) | ~spl6_220), 2.93/3.18 inference(superposition,[],[f1113,f48])). 2.93/3.18 tff(f1465,plain,( 2.93/3.18 max($sum(c,summation(sK1)),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | $less(sK1,sK0) | ~spl6_220), 2.93/3.18 inference(superposition,[],[f1113,f47])). 2.93/3.18 tff(f1466,plain,( 2.93/3.18 $sum(c,summation(max(sK0,sK1))) = sK3(sK0,sK1,sK2) | $less($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) | ~spl6_220), 2.93/3.18 inference(superposition,[],[f1113,f48])). 2.93/3.18 tff(f1469,plain,( 2.93/3.18 $sum(c,summation(max(sK0,sK1))) = sK3(sK0,sK1,sK2) | $less($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) | ~spl6_220), 2.93/3.18 inference(superposition,[],[f48,f1113])). 2.93/3.18 tff(f1470,plain,( 2.93/3.18 spl6_38 | spl6_232 | ~spl6_220), 2.93/3.18 inference(AVATAR_split_clause,[],[f1464,f1112,f1163,f246])). 2.93/3.18 tff(f1471,plain,( 2.93/3.18 spl6_278 | spl6_280 | ~spl6_220), 2.93/3.18 inference(AVATAR_split_clause,[],[f1466,f1112,f1442,f1439])). 2.93/3.18 tff(f1472,plain,( 2.93/3.18 spl6_278 | spl6_280 | ~spl6_220), 2.93/3.18 inference(AVATAR_split_clause,[],[f1469,f1112,f1442,f1439])). 2.93/3.18 tff(f1493,plain,( 2.93/3.18 ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))) | ~spl6_161), 2.93/3.18 inference(resolution,[],[f889,f49])). 2.93/3.18 tff(f1496,plain,( 2.93/3.18 ~$less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))))) | ~spl6_161), 2.93/3.18 inference(resolution,[],[f889,f50])). 2.93/3.18 tff(f1497,plain,( 2.93/3.18 summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))))) | ~spl6_161), 2.93/3.18 inference(resolution,[],[f889,f48])). 2.93/3.18 tff(f1498,plain,( 2.93/3.18 summation(sK4(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))),summation(sK4(sK0,sK1,sK2))) | ~spl6_161), 2.93/3.18 inference(resolution,[],[f889,f47])). 2.93/3.18 tff(f1500,plain,( 2.93/3.18 spl6_289 <=> ~$less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_289])])). 2.93/3.18 tff(f1502,plain,( 2.93/3.18 ~spl6_289 | spl6_161), 2.93/3.18 inference(AVATAR_split_clause,[],[f1496,f888,f1500])). 2.93/3.18 tff(f1504,plain,( 2.93/3.18 spl6_290 <=> summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_290])])). 2.93/3.18 tff(f1506,plain,( 2.93/3.18 spl6_290 | spl6_161), 2.93/3.18 inference(AVATAR_split_clause,[],[f1497,f888,f1504])). 2.93/3.18 tff(f1508,plain,( 2.93/3.18 spl6_292 <=> summation(sK4(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))),summation(sK4(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_292])])). 2.93/3.18 tff(f1510,plain,( 2.93/3.18 spl6_292 | spl6_161), 2.93/3.18 inference(AVATAR_split_clause,[],[f1498,f888,f1508])). 2.93/3.18 tff(f1519,plain,( 2.93/3.18 ~$less(summation(summation(sK2)),summation(summation(sK3(sK0,sK1,sK2)))) | ~spl6_207), 2.93/3.18 inference(resolution,[],[f1051,f50])). 2.93/3.18 tff(f1520,plain,( 2.93/3.18 summation(sK2) = max(summation(sK2),summation(sK3(sK0,sK1,sK2))) | ~spl6_207), 2.93/3.18 inference(resolution,[],[f1051,f48])). 2.93/3.18 tff(f1521,plain,( 2.93/3.18 summation(sK2) = max(summation(sK3(sK0,sK1,sK2)),summation(sK2)) | ~spl6_207), 2.93/3.18 inference(resolution,[],[f1051,f47])). 2.93/3.18 tff(f1523,plain,( 2.93/3.18 spl6_295 <=> ~$less(summation(summation(sK2)),summation(summation(sK3(sK0,sK1,sK2))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_295])])). 2.93/3.18 tff(f1524,plain,( 2.93/3.18 ~$less(summation(summation(sK2)),summation(summation(sK3(sK0,sK1,sK2)))) | ~spl6_295), 2.93/3.18 inference(AVATAR_component_clause,[],[f1523])). 2.93/3.18 tff(f1525,plain,( 2.93/3.18 ~spl6_295 | spl6_207), 2.93/3.18 inference(AVATAR_split_clause,[],[f1519,f1050,f1523])). 2.93/3.18 tff(f1527,plain,( 2.93/3.18 spl6_296 <=> summation(sK2) = max(summation(sK2),summation(sK3(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_296])])). 2.93/3.18 tff(f1529,plain,( 2.93/3.18 spl6_296 | spl6_207), 2.93/3.18 inference(AVATAR_split_clause,[],[f1520,f1050,f1527])). 2.93/3.18 tff(f1531,plain,( 2.93/3.18 spl6_298 <=> summation(sK2) = max(summation(sK3(sK0,sK1,sK2)),summation(sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_298])])). 2.93/3.18 tff(f1533,plain,( 2.93/3.18 spl6_298 | spl6_207), 2.93/3.18 inference(AVATAR_split_clause,[],[f1521,f1050,f1531])). 2.93/3.18 tff(f1560,plain,( 2.93/3.18 ( ! [X0:$int] : (ub(X0,$sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) | $less(sK3(sK0,sK1,sK2),X0) | $less(sK0,sK1)) ) | ~spl6_197), 2.93/3.18 inference(superposition,[],[f1096,f48])). 2.93/3.18 tff(f1561,plain,( 2.93/3.18 ( ! [X1:$int] : (ub(X1,$sum(c,summation(sK1)),sK3(sK0,sK1,sK2)) | $less(sK3(sK0,sK1,sK2),X1) | $less(sK1,sK0)) ) | ~spl6_197), 2.93/3.18 inference(superposition,[],[f1096,f47])). 2.93/3.18 tff(f1563,plain,( 2.93/3.18 spl6_300 <=> ! [X0 : $int] : (ub(X0,$sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) | $less(sK3(sK0,sK1,sK2),X0))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_300])])). 2.93/3.18 tff(f1565,plain,( 2.93/3.18 spl6_38 | spl6_300 | spl6_197), 2.93/3.18 inference(AVATAR_split_clause,[],[f1560,f1017,f1563,f246])). 2.93/3.18 tff(f1570,plain,( 2.93/3.18 ( ! [X0:$int] : (ub($sum(c,summation(sK0)),X0,sK3(sK0,sK1,sK2)) | $less(sK3(sK0,sK1,sK2),X0) | $less(sK0,sK1)) ) | ~spl6_197), 2.93/3.18 inference(superposition,[],[f1097,f48])). 2.93/3.18 tff(f1571,plain,( 2.93/3.18 ( ! [X1:$int] : (ub($sum(c,summation(sK1)),X1,sK3(sK0,sK1,sK2)) | $less(sK3(sK0,sK1,sK2),X1) | $less(sK1,sK0)) ) | ~spl6_197), 2.93/3.18 inference(superposition,[],[f1097,f47])). 2.93/3.18 tff(f1573,plain,( 2.93/3.18 spl6_302 <=> ! [X0 : $int] : (ub($sum(c,summation(sK0)),X0,sK3(sK0,sK1,sK2)) | $less(sK3(sK0,sK1,sK2),X0))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_302])])). 2.93/3.18 tff(f1575,plain,( 2.93/3.18 spl6_38 | spl6_302 | spl6_197), 2.93/3.18 inference(AVATAR_split_clause,[],[f1570,f1017,f1573,f246])). 2.93/3.18 tff(f1577,plain,( 2.93/3.18 $sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))) = sK4(sK0,sK1,sK2) | $less($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK2)) | ~spl6_162), 2.93/3.18 inference(superposition,[],[f893,f47])). 2.93/3.18 tff(f1580,plain,( 2.93/3.18 $sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))) = sK4(sK0,sK1,sK2) | $less($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK2)) | ~spl6_162), 2.93/3.18 inference(superposition,[],[f47,f893])). 2.93/3.18 tff(f1582,plain,( 2.93/3.18 spl6_304 <=> $less($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_304])])). 2.93/3.18 tff(f1585,plain,( 2.93/3.18 spl6_306 <=> $sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))) = sK4(sK0,sK1,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_306])])). 2.93/3.18 tff(f1586,plain,( 2.93/3.18 $sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))) = sK4(sK0,sK1,sK2) | ~spl6_306), 2.93/3.18 inference(AVATAR_component_clause,[],[f1585])). 2.93/3.18 tff(f1587,plain,( 2.93/3.18 spl6_304 | spl6_306 | ~spl6_162), 2.93/3.18 inference(AVATAR_split_clause,[],[f1577,f892,f1585,f1582])). 2.93/3.18 tff(f1588,plain,( 2.93/3.18 spl6_304 | spl6_306 | ~spl6_162), 2.93/3.18 inference(AVATAR_split_clause,[],[f1580,f892,f1585,f1582])). 2.93/3.18 tff(f1589,plain,( 2.93/3.18 $sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))) = sK4(sK0,sK1,sK2) | $less($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK2)) | ~spl6_164), 2.93/3.18 inference(superposition,[],[f897,f48])). 2.93/3.18 tff(f1592,plain,( 2.93/3.18 $sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))) = sK4(sK0,sK1,sK2) | $less($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK2)) | ~spl6_164), 2.93/3.18 inference(superposition,[],[f48,f897])). 2.93/3.18 tff(f1593,plain,( 2.93/3.18 spl6_304 | spl6_306 | ~spl6_164), 2.93/3.18 inference(AVATAR_split_clause,[],[f1589,f896,f1585,f1582])). 2.93/3.18 tff(f1594,plain,( 2.93/3.18 spl6_304 | spl6_306 | ~spl6_164), 2.93/3.18 inference(AVATAR_split_clause,[],[f1592,f896,f1585,f1582])). 2.93/3.18 tff(f1608,plain,( 2.93/3.18 $less(summation(summation($sum(c,summation(sK1)))),summation(summation(sK2))) | ~spl6_194), 2.93/3.18 inference(resolution,[],[f1010,f49])). 2.93/3.18 tff(f1610,plain,( 2.93/3.18 spl6_308 <=> $less(summation(summation($sum(c,summation(sK1)))),summation(summation(sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_308])])). 2.93/3.18 tff(f1612,plain,( 2.93/3.18 spl6_308 | ~spl6_194), 2.93/3.18 inference(AVATAR_split_clause,[],[f1608,f1009,f1610])). 2.93/3.18 tff(f1627,plain,( 2.93/3.18 $less(summation(summation($sum(c,summation(sK0)))),summation(summation(sK2))) | ~spl6_266), 2.93/3.18 inference(resolution,[],[f1345,f49])). 2.93/3.18 tff(f1629,plain,( 2.93/3.18 spl6_310 <=> $less(summation(summation($sum(c,summation(sK0)))),summation(summation(sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_310])])). 2.93/3.18 tff(f1631,plain,( 2.93/3.18 spl6_310 | ~spl6_266), 2.93/3.18 inference(AVATAR_split_clause,[],[f1627,f1344,f1629])). 2.93/3.18 tff(f1645,plain,( 2.93/3.18 $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK0)))) | ~spl6_248), 2.93/3.18 inference(resolution,[],[f1253,f49])). 2.93/3.18 tff(f1647,plain,( 2.93/3.18 spl6_312 <=> $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK0))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_312])])). 2.93/3.18 tff(f1649,plain,( 2.93/3.18 spl6_312 | ~spl6_248), 2.93/3.18 inference(AVATAR_split_clause,[],[f1645,f1252,f1647])). 2.93/3.18 tff(f1653,plain,( 2.93/3.18 ~$less(summation(summation(summation(summation(sK2)))),summation(summation(summation(summation(sK2))))) | ~spl6_97), 2.93/3.18 inference(resolution,[],[f625,f50])). 2.93/3.18 tff(f1654,plain,( 2.93/3.18 summation(summation(summation(sK2))) = max(summation(summation(summation(sK2))),summation(summation(summation(sK2)))) | ~spl6_97), 2.93/3.18 inference(resolution,[],[f625,f48])). 2.93/3.18 tff(f1655,plain,( 2.93/3.18 summation(summation(summation(sK2))) = max(summation(summation(summation(sK2))),summation(summation(summation(sK2)))) | ~spl6_97), 2.93/3.18 inference(resolution,[],[f625,f47])). 2.93/3.18 tff(f1657,plain,( 2.93/3.18 spl6_315 <=> ~$less(summation(summation(summation(summation(sK2)))),summation(summation(summation(summation(sK2)))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_315])])). 2.93/3.18 tff(f1659,plain,( 2.93/3.18 ~spl6_315 | spl6_97), 2.93/3.18 inference(AVATAR_split_clause,[],[f1653,f624,f1657])). 2.93/3.18 tff(f1661,plain,( 2.93/3.18 spl6_316 <=> summation(summation(summation(sK2))) = max(summation(summation(summation(sK2))),summation(summation(summation(sK2))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_316])])). 2.93/3.18 tff(f1663,plain,( 2.93/3.18 spl6_316 | spl6_97), 2.93/3.18 inference(AVATAR_split_clause,[],[f1654,f624,f1661])). 2.93/3.18 tff(f1664,plain,( 2.93/3.18 spl6_316 | spl6_97), 2.93/3.18 inference(AVATAR_split_clause,[],[f1655,f624,f1661])). 2.93/3.18 tff(f1678,plain,( 2.93/3.18 $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK2))) | ~minsol_model_max(sK2,sK2,sK2) | (~spl6_8 | ~spl6_26)), 2.93/3.18 inference(resolution,[],[f294,f737])). 2.93/3.18 tff(f1679,plain,( 2.93/3.18 $less(sK2,$sum(c,summation(sK2))) | model_max(sK2,sK2,sK3(sK2,sK2,sK2)) | ~model_max(sK2,sK2,sK3(sK0,sK1,sK2)) | (~spl6_14 | ~spl6_26)), 2.93/3.18 inference(resolution,[],[f294,f1092])). 2.93/3.18 tff(f1680,plain,( 2.93/3.18 $less(sK2,$sum(c,summation(sK2))) | $less(sK3(sK2,sK2,sK2),sK2) | ~model_max(sK2,sK2,sK3(sK0,sK1,sK2)) | (~spl6_14 | ~spl6_26)), 2.93/3.18 inference(resolution,[],[f294,f1093])). 2.93/3.18 tff(f1683,plain,( 2.93/3.18 spl6_319 <=> ~minsol_model_max(sK2,sK2,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_319])])). 2.93/3.18 tff(f1684,plain,( 2.93/3.18 ~minsol_model_max(sK2,sK2,sK2) | ~spl6_319), 2.93/3.18 inference(AVATAR_component_clause,[],[f1683])). 2.93/3.18 tff(f1686,plain,( 2.93/3.18 spl6_320 <=> $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_320])])). 2.93/3.18 tff(f1687,plain,( 2.93/3.18 $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK2))) | ~spl6_320), 2.93/3.18 inference(AVATAR_component_clause,[],[f1686])). 2.93/3.18 tff(f1688,plain,( 2.93/3.18 ~spl6_319 | spl6_320 | ~spl6_8 | ~spl6_26), 2.93/3.18 inference(AVATAR_split_clause,[],[f1678,f199,f91,f1686,f1683])). 2.93/3.18 tff(f1690,plain,( 2.93/3.18 spl6_323 <=> ~model_max(sK2,sK2,sK3(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_323])])). 2.93/3.18 tff(f1693,plain,( 2.93/3.18 spl6_324 <=> model_max(sK2,sK2,sK3(sK2,sK2,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_324])])). 2.93/3.18 tff(f1696,plain,( 2.93/3.18 spl6_326 <=> $less(sK2,$sum(c,summation(sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_326])])). 2.93/3.18 tff(f1697,plain,( 2.93/3.18 $less(sK2,$sum(c,summation(sK2))) | ~spl6_326), 2.93/3.18 inference(AVATAR_component_clause,[],[f1696])). 2.93/3.18 tff(f1698,plain,( 2.93/3.18 ~spl6_323 | spl6_324 | spl6_326 | ~spl6_14 | ~spl6_26), 2.93/3.18 inference(AVATAR_split_clause,[],[f1679,f199,f110,f1696,f1693,f1690])). 2.93/3.18 tff(f1700,plain,( 2.93/3.18 spl6_328 <=> $less(sK3(sK2,sK2,sK2),sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_328])])). 2.93/3.18 tff(f1702,plain,( 2.93/3.18 ~spl6_323 | spl6_328 | spl6_326 | ~spl6_14 | ~spl6_26), 2.93/3.18 inference(AVATAR_split_clause,[],[f1680,f199,f110,f1696,f1700,f1690])). 2.93/3.18 tff(f1708,plain,( 2.93/3.18 model_max(sK2,sK2,sK3(sK2,sK2,sK2)) | ~model_max(sK2,sK2,sK2) | ~spl6_319), 2.93/3.18 inference(resolution,[],[f1684,f56])). 2.93/3.18 tff(f1709,plain,( 2.93/3.18 $less(sK3(sK2,sK2,sK2),sK2) | ~model_max(sK2,sK2,sK2) | ~spl6_319), 2.93/3.18 inference(resolution,[],[f1684,f57])). 2.93/3.18 tff(f1711,plain,( 2.93/3.18 spl6_331 <=> ~model_max(sK2,sK2,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_331])])). 2.93/3.18 tff(f1712,plain,( 2.93/3.18 ~model_max(sK2,sK2,sK2) | ~spl6_331), 2.93/3.18 inference(AVATAR_component_clause,[],[f1711])). 2.93/3.18 tff(f1713,plain,( 2.93/3.18 ~spl6_331 | spl6_324 | spl6_319), 2.93/3.18 inference(AVATAR_split_clause,[],[f1708,f1683,f1693,f1711])). 2.93/3.18 tff(f1714,plain,( 2.93/3.18 ~spl6_331 | spl6_328 | spl6_319), 2.93/3.18 inference(AVATAR_split_clause,[],[f1709,f1683,f1700,f1711])). 2.93/3.18 tff(f1721,plain,( 2.93/3.18 $less(sK2,$sum(c,summation(sK2))) | (~spl6_26 | ~spl6_331)), 2.93/3.18 inference(resolution,[],[f1712,f294])). 2.93/3.18 tff(f1722,plain,( 2.93/3.18 $less(sK2,$sum(c,summation(max(sK2,sK2)))) | ~spl6_331), 2.93/3.18 inference(resolution,[],[f1712,f62])). 2.93/3.18 tff(f1724,plain,( 2.93/3.18 spl6_326 | ~spl6_26 | spl6_331), 2.93/3.18 inference(AVATAR_split_clause,[],[f1721,f1711,f199,f1696])). 2.93/3.18 tff(f1725,plain,( 2.93/3.18 $less(sK2,$sum(c,summation(sK2))) | (~spl6_26 | ~spl6_331)), 2.93/3.18 inference(forward_demodulation,[],[f1722,f200])). 2.93/3.18 tff(f1726,plain,( 2.93/3.18 spl6_326 | ~spl6_26 | spl6_331), 2.93/3.18 inference(AVATAR_split_clause,[],[f1725,f1711,f199,f1696])). 2.93/3.18 tff(f1737,plain,( 2.93/3.18 $less(summation(sK2),summation($sum(c,summation(sK2)))) | ~spl6_326), 2.93/3.18 inference(resolution,[],[f1697,f49])). 2.93/3.18 tff(f1739,plain,( 2.93/3.18 spl6_332 <=> $less(summation(sK2),summation($sum(c,summation(sK2))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_332])])). 2.93/3.18 tff(f1740,plain,( 2.93/3.18 $less(summation(sK2),summation($sum(c,summation(sK2)))) | ~spl6_332), 2.93/3.18 inference(AVATAR_component_clause,[],[f1739])). 2.93/3.18 tff(f1741,plain,( 2.93/3.18 spl6_332 | ~spl6_326), 2.93/3.18 inference(AVATAR_split_clause,[],[f1737,f1696,f1739])). 2.93/3.18 tff(f1775,plain,( 2.93/3.18 $less(summation(summation(sK2)),summation(summation($sum(c,summation(sK2))))) | ~spl6_332), 2.93/3.18 inference(resolution,[],[f1740,f49])). 2.93/3.18 tff(f1777,plain,( 2.93/3.18 spl6_334 <=> $less(summation(summation(sK2)),summation(summation($sum(c,summation(sK2)))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_334])])). 2.93/3.18 tff(f1779,plain,( 2.93/3.18 spl6_334 | ~spl6_332), 2.93/3.18 inference(AVATAR_split_clause,[],[f1775,f1739,f1777])). 2.93/3.18 tff(f1783,plain,( 2.93/3.18 sK1 = sK5(sK0,sK1,sK2) | $less(sK1,sK5(sK0,sK1,sK2)) | ~spl6_52), 2.93/3.18 inference(superposition,[],[f313,f47])). 2.93/3.18 tff(f1784,plain,( 2.93/3.18 ( ! [X0:$int] : ($less(X0,$sum(c,summation(sK5(sK0,sK1,sK2)))) | model_max(sK5(sK0,sK1,sK2),sK1,X0)) ) | ~spl6_52), 2.93/3.18 inference(superposition,[],[f62,f313])). 2.93/3.18 tff(f1786,plain,( 2.93/3.18 sK1 = sK5(sK0,sK1,sK2) | $less(sK1,sK5(sK0,sK1,sK2)) | ~spl6_52), 2.93/3.18 inference(superposition,[],[f47,f313])). 2.93/3.18 tff(f1788,plain,( 2.93/3.18 spl6_336 <=> $less(sK1,sK5(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_336])])). 2.93/3.18 tff(f1789,plain,( 2.93/3.18 $less(sK1,sK5(sK0,sK1,sK2)) | ~spl6_336), 2.93/3.18 inference(AVATAR_component_clause,[],[f1788])). 2.93/3.18 tff(f1791,plain,( 2.93/3.18 spl6_338 <=> sK1 = sK5(sK0,sK1,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_338])])). 2.93/3.18 tff(f1793,plain,( 2.93/3.18 spl6_336 | spl6_338 | ~spl6_52), 2.93/3.18 inference(AVATAR_split_clause,[],[f1783,f312,f1791,f1788])). 2.93/3.18 tff(f1794,plain,( 2.93/3.18 ( ! [X0:$int] : (model_max(sK5(sK0,sK1,sK2),sK1,X0) | $less(X0,sK2)) ) | (~spl6_52 | ~spl6_112)), 2.93/3.18 inference(forward_demodulation,[],[f1784,f677])). 2.93/3.18 tff(f1796,plain,( 2.93/3.18 spl6_336 | spl6_338 | ~spl6_52), 2.93/3.18 inference(AVATAR_split_clause,[],[f1786,f312,f1791,f1788])). 2.93/3.18 tff(f1801,plain,( 2.93/3.18 $less(summation(sK1),summation(sK5(sK0,sK1,sK2))) | ~spl6_336), 2.93/3.18 inference(resolution,[],[f1789,f49])). 2.93/3.18 tff(f1803,plain,( 2.93/3.18 spl6_340 <=> $less(summation(sK1),summation(sK5(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_340])])). 2.93/3.18 tff(f1804,plain,( 2.93/3.18 $less(summation(sK1),summation(sK5(sK0,sK1,sK2))) | ~spl6_340), 2.93/3.18 inference(AVATAR_component_clause,[],[f1803])). 2.93/3.18 tff(f1805,plain,( 2.93/3.18 spl6_340 | ~spl6_336), 2.93/3.18 inference(AVATAR_split_clause,[],[f1801,f1788,f1803])). 2.93/3.18 tff(f1807,plain,( 2.93/3.18 ( ! [X0:$int] : ($less(X0,$sum(c,summation(sK5(sK0,sK1,sK2)))) | model_max(sK1,sK5(sK0,sK1,sK2),X0)) ) | ~spl6_54), 2.93/3.18 inference(superposition,[],[f62,f317])). 2.93/3.18 tff(f1810,plain,( 2.93/3.18 ( ! [X0:$int] : (model_max(sK1,sK5(sK0,sK1,sK2),X0) | $less(X0,sK2)) ) | (~spl6_54 | ~spl6_112)), 2.93/3.18 inference(forward_demodulation,[],[f1807,f677])). 2.93/3.18 tff(f1812,plain,( 2.93/3.18 sK0 = sK5(sK0,sK1,sK2) | $less(sK0,sK5(sK0,sK1,sK2)) | ~spl6_74), 2.93/3.18 inference(superposition,[],[f472,f47])). 2.93/3.18 tff(f1813,plain,( 2.93/3.18 ( ! [X0:$int] : ($less(X0,$sum(c,summation(sK5(sK0,sK1,sK2)))) | model_max(sK5(sK0,sK1,sK2),sK0,X0)) ) | ~spl6_74), 2.93/3.18 inference(superposition,[],[f62,f472])). 2.93/3.18 tff(f1815,plain,( 2.93/3.18 sK0 = sK5(sK0,sK1,sK2) | $less(sK0,sK5(sK0,sK1,sK2)) | ~spl6_74), 2.93/3.18 inference(superposition,[],[f47,f472])). 2.93/3.18 tff(f1817,plain,( 2.93/3.18 spl6_342 <=> $less(sK0,sK5(sK0,sK1,sK2))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_342])])). 2.93/3.18 tff(f1818,plain,( 2.93/3.18 $less(sK0,sK5(sK0,sK1,sK2)) | ~spl6_342), 2.93/3.18 inference(AVATAR_component_clause,[],[f1817])). 2.93/3.18 tff(f1820,plain,( 2.93/3.18 spl6_344 <=> sK0 = sK5(sK0,sK1,sK2)), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_344])])). 2.93/3.18 tff(f1822,plain,( 2.93/3.18 spl6_342 | spl6_344 | ~spl6_74), 2.93/3.18 inference(AVATAR_split_clause,[],[f1812,f471,f1820,f1817])). 2.93/3.18 tff(f1823,plain,( 2.93/3.18 ( ! [X0:$int] : (model_max(sK5(sK0,sK1,sK2),sK0,X0) | $less(X0,sK2)) ) | (~spl6_74 | ~spl6_112)), 2.93/3.18 inference(forward_demodulation,[],[f1813,f677])). 2.93/3.18 tff(f1825,plain,( 2.93/3.18 spl6_342 | spl6_344 | ~spl6_74), 2.93/3.18 inference(AVATAR_split_clause,[],[f1815,f471,f1820,f1817])). 2.93/3.18 tff(f1830,plain,( 2.93/3.18 $less(summation(sK0),summation(sK5(sK0,sK1,sK2))) | ~spl6_342), 2.93/3.18 inference(resolution,[],[f1818,f49])). 2.93/3.18 tff(f1832,plain,( 2.93/3.18 spl6_346 <=> $less(summation(sK0),summation(sK5(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_346])])). 2.93/3.18 tff(f1833,plain,( 2.93/3.18 $less(summation(sK0),summation(sK5(sK0,sK1,sK2))) | ~spl6_346), 2.93/3.18 inference(AVATAR_component_clause,[],[f1832])). 2.93/3.18 tff(f1834,plain,( 2.93/3.18 spl6_346 | ~spl6_342), 2.93/3.18 inference(AVATAR_split_clause,[],[f1830,f1817,f1832])). 2.93/3.18 tff(f1844,plain,( 2.93/3.18 ~$less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK4(sK0,sK1,sK2)))) | ~spl6_173), 2.93/3.18 inference(resolution,[],[f926,f50])). 2.93/3.18 tff(f1845,plain,( 2.93/3.18 summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation(sK4(sK0,sK1,sK2))) | ~spl6_173), 2.93/3.18 inference(resolution,[],[f926,f48])). 2.93/3.18 tff(f1846,plain,( 2.93/3.18 summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation(sK4(sK0,sK1,sK2))) | ~spl6_173), 2.93/3.18 inference(resolution,[],[f926,f47])). 2.93/3.18 tff(f1848,plain,( 2.93/3.18 spl6_349 <=> ~$less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK4(sK0,sK1,sK2))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_349])])). 2.93/3.18 tff(f1850,plain,( 2.93/3.18 ~spl6_349 | spl6_173), 2.93/3.18 inference(AVATAR_split_clause,[],[f1844,f925,f1848])). 2.93/3.18 tff(f1852,plain,( 2.93/3.18 spl6_350 <=> summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation(sK4(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_350])])). 2.93/3.18 tff(f1854,plain,( 2.93/3.18 spl6_350 | spl6_173), 2.93/3.18 inference(AVATAR_split_clause,[],[f1845,f925,f1852])). 2.93/3.18 tff(f1855,plain,( 2.93/3.18 spl6_350 | spl6_173), 2.93/3.18 inference(AVATAR_split_clause,[],[f1846,f925,f1852])). 2.93/3.18 tff(f1860,plain,( 2.93/3.18 ~$less(summation(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),summation(summation(sK1))) | ~spl6_181), 2.93/3.18 inference(resolution,[],[f952,f50])). 2.93/3.18 tff(f1861,plain,( 2.93/3.18 summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = max(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK1)) | ~spl6_181), 2.93/3.18 inference(resolution,[],[f952,f48])). 2.93/3.18 tff(f1862,plain,( 2.93/3.18 summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = max(summation(sK1),summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))) | ~spl6_181), 2.93/3.18 inference(resolution,[],[f952,f47])). 2.93/3.18 tff(f1864,plain,( 2.93/3.18 spl6_353 <=> ~$less(summation(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),summation(summation(sK1)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_353])])). 2.93/3.18 tff(f1866,plain,( 2.93/3.18 ~spl6_353 | spl6_181), 2.93/3.18 inference(AVATAR_split_clause,[],[f1860,f951,f1864])). 2.93/3.18 tff(f1868,plain,( 2.93/3.18 spl6_354 <=> summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = max(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK1))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_354])])). 2.93/3.18 tff(f1870,plain,( 2.93/3.18 spl6_354 | spl6_181), 2.93/3.18 inference(AVATAR_split_clause,[],[f1861,f951,f1868])). 2.93/3.18 tff(f1872,plain,( 2.93/3.18 spl6_356 <=> summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = max(summation(sK1),summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_356])])). 2.93/3.18 tff(f1874,plain,( 2.93/3.18 spl6_356 | spl6_181), 2.93/3.18 inference(AVATAR_split_clause,[],[f1862,f951,f1872])). 2.93/3.18 tff(f1878,plain,( 2.93/3.18 ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK3(sK0,sK1,sK2)))) | ~spl6_225), 2.93/3.18 inference(resolution,[],[f1141,f50])). 2.93/3.18 tff(f1879,plain,( 2.93/3.18 summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation(sK3(sK0,sK1,sK2))) | ~spl6_225), 2.93/3.18 inference(resolution,[],[f1141,f48])). 2.93/3.18 tff(f1880,plain,( 2.93/3.18 summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation(sK3(sK0,sK1,sK2))) | ~spl6_225), 2.93/3.18 inference(resolution,[],[f1141,f47])). 2.93/3.18 tff(f1882,plain,( 2.93/3.18 spl6_359 <=> ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK3(sK0,sK1,sK2))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_359])])). 2.93/3.18 tff(f1884,plain,( 2.93/3.18 ~spl6_359 | spl6_225), 2.93/3.18 inference(AVATAR_split_clause,[],[f1878,f1140,f1882])). 2.93/3.18 tff(f1886,plain,( 2.93/3.18 spl6_360 <=> summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation(sK3(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_360])])). 2.93/3.18 tff(f1888,plain,( 2.93/3.18 spl6_360 | spl6_225), 2.93/3.18 inference(AVATAR_split_clause,[],[f1879,f1140,f1886])). 2.93/3.18 tff(f1889,plain,( 2.93/3.18 spl6_360 | spl6_225), 2.93/3.18 inference(AVATAR_split_clause,[],[f1880,f1140,f1886])). 2.93/3.18 tff(f1892,plain,( 2.93/3.18 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) | ~spl6_229), 2.93/3.18 inference(resolution,[],[f1156,f49])). 2.93/3.18 tff(f1895,plain,( 2.93/3.18 ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK0))))) | ~spl6_229), 2.93/3.18 inference(resolution,[],[f1156,f50])). 2.93/3.18 tff(f1896,plain,( 2.93/3.18 summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK0)))) | ~spl6_229), 2.93/3.18 inference(resolution,[],[f1156,f48])). 2.93/3.18 tff(f1897,plain,( 2.93/3.18 summation(sK3(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK0))),summation(sK3(sK0,sK1,sK2))) | ~spl6_229), 2.93/3.18 inference(resolution,[],[f1156,f47])). 2.93/3.18 tff(f1899,plain,( 2.93/3.18 spl6_363 <=> ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK0)))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_363])])). 2.93/3.18 tff(f1901,plain,( 2.93/3.18 ~spl6_363 | spl6_229), 2.93/3.18 inference(AVATAR_split_clause,[],[f1895,f1155,f1899])). 2.93/3.18 tff(f1903,plain,( 2.93/3.18 spl6_364 <=> summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK0))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_364])])). 2.93/3.18 tff(f1905,plain,( 2.93/3.18 spl6_364 | spl6_229), 2.93/3.18 inference(AVATAR_split_clause,[],[f1896,f1155,f1903])). 2.93/3.18 tff(f1907,plain,( 2.93/3.18 spl6_366 <=> summation(sK3(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK0))),summation(sK3(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_366])])). 2.93/3.18 tff(f1909,plain,( 2.93/3.18 spl6_366 | spl6_229), 2.93/3.18 inference(AVATAR_split_clause,[],[f1897,f1155,f1907])). 2.93/3.18 tff(f1916,plain,( 2.93/3.18 $less(sK1,sK5(sK0,sK1,sK2)) | ~spl6_340), 2.93/3.18 inference(resolution,[],[f1804,f50])). 2.93/3.18 tff(f1921,plain,( 2.93/3.18 $less(summation(summation(sK1)),summation(summation(sK5(sK0,sK1,sK2)))) | ~spl6_340), 2.93/3.18 inference(resolution,[],[f1804,f49])). 2.93/3.18 tff(f1923,plain,( 2.93/3.18 spl6_368 <=> $less(summation(summation(sK1)),summation(summation(sK5(sK0,sK1,sK2))))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_368])])). 2.93/3.18 tff(f1925,plain,( 2.93/3.18 spl6_368 | ~spl6_340), 2.93/3.18 inference(AVATAR_split_clause,[],[f1921,f1803,f1923])). 2.93/3.18 tff(f1930,plain,( 2.93/3.18 $less(summation($sum(c,summation(max(sK0,sK1)))),summation(sK3(sK0,sK1,sK2))) | ~spl6_278), 2.93/3.18 inference(resolution,[],[f1440,f49])). 2.93/3.18 tff(f1931,plain,( 2.93/3.18 $less($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) | $less(sK0,sK1) | ~spl6_278), 2.93/3.18 inference(superposition,[],[f1440,f48])). 2.93/3.18 tff(f1934,plain,( 2.93/3.18 spl6_370 <=> $less(summation($sum(c,summation(max(sK0,sK1)))),summation(sK3(sK0,sK1,sK2)))), 2.93/3.18 introduced(AVATAR_definition,[new_symbols(naming,[spl6_370])])). 2.93/3.19 tff(f1936,plain,( 2.93/3.19 spl6_370 | ~spl6_278), 2.93/3.19 inference(AVATAR_split_clause,[],[f1930,f1439,f1934])). 2.93/3.19 tff(f1938,plain,( 2.93/3.19 spl6_372 <=> $less($sum(c,summation(sK0)),sK3(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_372])])). 2.93/3.19 tff(f1939,plain,( 2.93/3.19 $less($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) | ~spl6_372), 2.93/3.19 inference(AVATAR_component_clause,[],[f1938])). 2.93/3.19 tff(f1940,plain,( 2.93/3.19 spl6_38 | spl6_372 | ~spl6_278), 2.93/3.19 inference(AVATAR_split_clause,[],[f1931,f1439,f1938,f246])). 2.93/3.19 tff(f1941,plain,( 2.93/3.19 $less(sK0,sK5(sK0,sK1,sK2)) | ~spl6_346), 2.93/3.19 inference(resolution,[],[f1833,f50])). 2.93/3.19 tff(f1946,plain,( 2.93/3.19 $less(summation(summation(sK0)),summation(summation(sK5(sK0,sK1,sK2)))) | ~spl6_346), 2.93/3.19 inference(resolution,[],[f1833,f49])). 2.93/3.19 tff(f1948,plain,( 2.93/3.19 spl6_374 <=> $less(summation(summation(sK0)),summation(summation(sK5(sK0,sK1,sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_374])])). 2.93/3.19 tff(f1950,plain,( 2.93/3.19 spl6_374 | ~spl6_346), 2.93/3.19 inference(AVATAR_split_clause,[],[f1946,f1832,f1948])). 2.93/3.19 tff(f1954,plain,( 2.93/3.19 ~$less(summation(summation(summation(sK2))),summation(summation(summation($sum(c,summation(max(sK0,sK1))))))) | ~spl6_87), 2.93/3.19 inference(resolution,[],[f581,f50])). 2.93/3.19 tff(f1955,plain,( 2.93/3.19 summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation($sum(c,summation(max(sK0,sK1)))))) | ~spl6_87), 2.93/3.19 inference(resolution,[],[f581,f48])). 2.93/3.19 tff(f1956,plain,( 2.93/3.19 summation(summation(sK2)) = max(summation(summation($sum(c,summation(max(sK0,sK1))))),summation(summation(sK2))) | ~spl6_87), 2.93/3.19 inference(resolution,[],[f581,f47])). 2.93/3.19 tff(f1957,plain,( 2.93/3.19 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK0))))) | $less(sK0,sK1) | ~spl6_87), 2.93/3.19 inference(superposition,[],[f581,f48])). 2.93/3.19 tff(f1960,plain,( 2.93/3.19 spl6_377 <=> ~$less(summation(summation(summation(sK2))),summation(summation(summation($sum(c,summation(max(sK0,sK1)))))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_377])])). 2.93/3.19 tff(f1962,plain,( 2.93/3.19 ~spl6_377 | spl6_87), 2.93/3.19 inference(AVATAR_split_clause,[],[f1954,f580,f1960])). 2.93/3.19 tff(f1964,plain,( 2.93/3.19 spl6_378 <=> summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation($sum(c,summation(max(sK0,sK1))))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_378])])). 2.93/3.19 tff(f1966,plain,( 2.93/3.19 spl6_378 | spl6_87), 2.93/3.19 inference(AVATAR_split_clause,[],[f1955,f580,f1964])). 2.93/3.19 tff(f1968,plain,( 2.93/3.19 spl6_380 <=> summation(summation(sK2)) = max(summation(summation($sum(c,summation(max(sK0,sK1))))),summation(summation(sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_380])])). 2.93/3.19 tff(f1970,plain,( 2.93/3.19 spl6_380 | spl6_87), 2.93/3.19 inference(AVATAR_split_clause,[],[f1956,f580,f1968])). 2.93/3.19 tff(f1971,plain,( 2.93/3.19 spl6_38 | ~spl6_253 | spl6_87), 2.93/3.19 inference(AVATAR_split_clause,[],[f1957,f580,f1289,f246])). 2.93/3.19 tff(f1977,plain,( 2.93/3.19 $less(summation(summation(summation(summation(sK4(sK0,sK1,sK2))))),summation(summation(summation(summation(sK2))))) | ~spl6_234), 2.93/3.19 inference(resolution,[],[f1176,f49])). 2.93/3.19 tff(f1979,plain,( 2.93/3.19 spl6_382 <=> $less(summation(summation(summation(summation(sK4(sK0,sK1,sK2))))),summation(summation(summation(summation(sK2)))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_382])])). 2.93/3.19 tff(f1981,plain,( 2.93/3.19 spl6_382 | ~spl6_234), 2.93/3.19 inference(AVATAR_split_clause,[],[f1977,f1175,f1979])). 2.93/3.19 tff(f1990,plain,( 2.93/3.19 $less(summation(summation(summation(summation(sK3(sK0,sK1,sK2))))),summation(summation(summation(summation(sK2))))) | ~spl6_236), 2.93/3.19 inference(resolution,[],[f1193,f49])). 2.93/3.19 tff(f1992,plain,( 2.93/3.19 spl6_384 <=> $less(summation(summation(summation(summation(sK3(sK0,sK1,sK2))))),summation(summation(summation(summation(sK2)))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_384])])). 2.93/3.19 tff(f1994,plain,( 2.93/3.19 spl6_384 | ~spl6_236), 2.93/3.19 inference(AVATAR_split_clause,[],[f1990,f1192,f1992])). 2.93/3.19 tff(f1997,plain,( 2.93/3.19 ( ! [X0:$int] : (~ub(X0,$sum(c,summation(sK0)),sK4(sK0,sK1,sK2)) | $less(sK0,sK1)) ) | ~spl6_124), 2.93/3.19 inference(superposition,[],[f1238,f48])). 2.93/3.19 tff(f1998,plain,( 2.93/3.19 ( ! [X1:$int] : (~ub(X1,$sum(c,summation(sK1)),sK4(sK0,sK1,sK2)) | $less(sK1,sK0)) ) | ~spl6_124), 2.93/3.19 inference(superposition,[],[f1238,f47])). 2.93/3.19 tff(f2000,plain,( 2.93/3.19 spl6_386 <=> ! [X0 : $int] : ~ub(X0,$sum(c,summation(sK0)),sK4(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_386])])). 2.93/3.19 tff(f2002,plain,( 2.93/3.19 spl6_38 | spl6_386 | ~spl6_124), 2.93/3.19 inference(AVATAR_split_clause,[],[f1997,f742,f2000,f246])). 2.93/3.19 tff(f2007,plain,( 2.93/3.19 $less(summation($sum(c,summation(sK0))),summation(sK3(sK0,sK1,sK2))) | ~spl6_372), 2.93/3.19 inference(resolution,[],[f1939,f49])). 2.93/3.19 tff(f2009,plain,( 2.93/3.19 spl6_388 <=> $less(summation($sum(c,summation(sK0))),summation(sK3(sK0,sK1,sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_388])])). 2.93/3.19 tff(f2011,plain,( 2.93/3.19 spl6_388 | ~spl6_372), 2.93/3.19 inference(AVATAR_split_clause,[],[f2007,f1938,f2009])). 2.93/3.19 tff(f2014,plain,( 2.93/3.19 ( ! [X0:$int] : (~ub($sum(c,summation(sK0)),X0,sK4(sK0,sK1,sK2)) | $less(sK0,sK1)) ) | ~spl6_124), 2.93/3.19 inference(superposition,[],[f1239,f48])). 2.93/3.19 tff(f2015,plain,( 2.93/3.19 ( ! [X1:$int] : (~ub($sum(c,summation(sK1)),X1,sK4(sK0,sK1,sK2)) | $less(sK1,sK0)) ) | ~spl6_124), 2.93/3.19 inference(superposition,[],[f1239,f47])). 2.93/3.19 tff(f2017,plain,( 2.93/3.19 spl6_390 <=> ! [X0 : $int] : ~ub($sum(c,summation(sK0)),X0,sK4(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_390])])). 2.93/3.19 tff(f2019,plain,( 2.93/3.19 spl6_38 | spl6_390 | ~spl6_124), 2.93/3.19 inference(AVATAR_split_clause,[],[f2014,f742,f2017,f246])). 2.93/3.19 tff(f2021,plain,( 2.93/3.19 $less(summation(summation(sK1)),summation(summation(sK0))) | ~spl6_108), 2.93/3.19 inference(resolution,[],[f666,f50])). 2.93/3.19 tff(f2026,plain,( 2.93/3.19 $less(summation(summation(summation(summation(sK1)))),summation(summation(summation(summation(sK0))))) | ~spl6_108), 2.93/3.19 inference(resolution,[],[f666,f49])). 2.93/3.19 tff(f2028,plain,( 2.93/3.19 spl6_392 <=> $less(summation(summation(summation(summation(sK1)))),summation(summation(summation(summation(sK0)))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_392])])). 2.93/3.19 tff(f2030,plain,( 2.93/3.19 spl6_392 | ~spl6_108), 2.93/3.19 inference(AVATAR_split_clause,[],[f2026,f665,f2028])). 2.93/3.19 tff(f2037,plain,( 2.93/3.19 ( ! [X11:$int] : ($less(sK2,X11) | $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK2))) | ~minsol_model_ub(X11,sK2,sK2)) ) | (~spl6_14 | ~spl6_23)), 2.93/3.19 inference(resolution,[],[f564,f994])). 2.93/3.19 tff(f2038,plain,( 2.93/3.19 ( ! [X12:$int] : ($less(sK2,X12) | $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK2))) | ~model_ub(X12,sK2,sK2) | model_ub(X12,sK2,sK4(X12,sK2,sK2))) ) | (~spl6_8 | ~spl6_23)), 2.93/3.19 inference(resolution,[],[f564,f876])). 2.93/3.19 tff(f2039,plain,( 2.93/3.19 ( ! [X13:$int] : ($less(sK2,X13) | $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK2))) | ~model_ub(X13,sK2,sK2) | $less(sK4(X13,sK2,sK2),sK2)) ) | (~spl6_8 | ~spl6_23)), 2.93/3.19 inference(resolution,[],[f564,f877])). 2.93/3.19 tff(f2041,plain,( 2.93/3.19 spl6_394 <=> $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_394])])). 2.93/3.19 tff(f2042,plain,( 2.93/3.19 $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK2))) | ~spl6_394), 2.93/3.19 inference(AVATAR_component_clause,[],[f2041])). 2.93/3.19 tff(f2044,plain,( 2.93/3.19 spl6_396 <=> ! [X11 : $int] : ($less(sK2,X11) | ~minsol_model_ub(X11,sK2,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_396])])). 2.93/3.19 tff(f2046,plain,( 2.93/3.19 spl6_394 | spl6_396 | ~spl6_14 | spl6_23), 2.93/3.19 inference(AVATAR_split_clause,[],[f2037,f186,f110,f2044,f2041])). 2.93/3.19 tff(f2048,plain,( 2.93/3.19 spl6_398 <=> ! [X12 : $int] : ($less(sK2,X12) | model_ub(X12,sK2,sK4(X12,sK2,sK2)) | ~model_ub(X12,sK2,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_398])])). 2.93/3.19 tff(f2050,plain,( 2.93/3.19 spl6_320 | spl6_398 | ~spl6_8 | spl6_23), 2.93/3.19 inference(AVATAR_split_clause,[],[f2038,f186,f91,f2048,f1686])). 2.93/3.19 tff(f2052,plain,( 2.93/3.19 spl6_400 <=> ! [X13 : $int] : ($less(sK2,X13) | $less(sK4(X13,sK2,sK2),sK2) | ~model_ub(X13,sK2,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_400])])). 2.93/3.19 tff(f2054,plain,( 2.93/3.19 spl6_320 | spl6_400 | ~spl6_8 | spl6_23), 2.93/3.19 inference(AVATAR_split_clause,[],[f2039,f186,f91,f2052,f1686])). 2.93/3.19 tff(f2059,plain,( 2.93/3.19 $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK2)))) | ~spl6_320), 2.93/3.19 inference(resolution,[],[f1687,f49])). 2.93/3.19 tff(f2061,plain,( 2.93/3.19 spl6_402 <=> $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_402])])). 2.93/3.19 tff(f2063,plain,( 2.93/3.19 spl6_402 | ~spl6_320), 2.93/3.19 inference(AVATAR_split_clause,[],[f2059,f1686,f2061])). 2.93/3.19 tff(f2069,plain,( 2.93/3.19 ( ! [X11:$int] : ($less(sK2,X11) | $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK2))) | ~minsol_model_ub(sK2,X11,sK2)) ) | (~spl6_14 | ~spl6_23)), 2.93/3.19 inference(resolution,[],[f568,f994])). 2.93/3.19 tff(f2073,plain,( 2.93/3.19 spl6_404 <=> ! [X11 : $int] : ($less(sK2,X11) | ~minsol_model_ub(sK2,X11,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_404])])). 2.93/3.19 tff(f2075,plain,( 2.93/3.19 spl6_394 | spl6_404 | ~spl6_14 | spl6_23), 2.93/3.19 inference(AVATAR_split_clause,[],[f2069,f186,f110,f2073,f2041])). 2.93/3.19 tff(f2076,plain,( 2.93/3.19 summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK0)))) | $less(sK0,sK1) | ~spl6_88), 2.93/3.19 inference(superposition,[],[f585,f48])). 2.93/3.19 tff(f2077,plain,( 2.93/3.19 summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK1)))) | $less(sK1,sK0) | ~spl6_88), 2.93/3.19 inference(superposition,[],[f585,f47])). 2.93/3.19 tff(f2078,plain,( 2.93/3.19 summation(sK2) = summation($sum(c,summation(max(sK0,sK1)))) | $less(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2)) | ~spl6_88), 2.93/3.19 inference(superposition,[],[f585,f47])). 2.93/3.19 tff(f2081,plain,( 2.93/3.19 summation(sK2) = summation($sum(c,summation(max(sK0,sK1)))) | $less(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2)) | ~spl6_88), 2.93/3.19 inference(superposition,[],[f47,f585])). 2.93/3.19 tff(f2082,plain,( 2.93/3.19 spl6_38 | spl6_254 | ~spl6_88), 2.93/3.19 inference(AVATAR_split_clause,[],[f2076,f584,f1293,f246])). 2.93/3.19 tff(f2084,plain,( 2.93/3.19 spl6_406 <=> summation(sK2) = summation($sum(c,summation(max(sK0,sK1))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_406])])). 2.93/3.19 tff(f2086,plain,( 2.93/3.19 spl6_276 | spl6_406 | ~spl6_88), 2.93/3.19 inference(AVATAR_split_clause,[],[f2078,f584,f2084,f1409])). 2.93/3.19 tff(f2087,plain,( 2.93/3.19 spl6_276 | spl6_406 | ~spl6_88), 2.93/3.19 inference(AVATAR_split_clause,[],[f2081,f584,f2084,f1409])). 2.93/3.19 tff(f2092,plain,( 2.93/3.19 $less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK2)))) | ~spl6_394), 2.93/3.19 inference(resolution,[],[f2042,f49])). 2.93/3.19 tff(f2094,plain,( 2.93/3.19 spl6_408 <=> $less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_408])])). 2.93/3.19 tff(f2096,plain,( 2.93/3.19 spl6_408 | ~spl6_394), 2.93/3.19 inference(AVATAR_split_clause,[],[f2092,f2041,f2094])). 2.93/3.19 tff(f2097,plain,( 2.93/3.19 summation(sK2) = max(summation($sum(c,summation(sK0))),summation(sK2)) | $less(sK0,sK1) | ~spl6_90), 2.93/3.19 inference(superposition,[],[f589,f48])). 2.93/3.19 tff(f2098,plain,( 2.93/3.19 summation(sK2) = max(summation($sum(c,summation(sK1))),summation(sK2)) | $less(sK1,sK0) | ~spl6_90), 2.93/3.19 inference(superposition,[],[f589,f47])). 2.93/3.19 tff(f2099,plain,( 2.93/3.19 summation(sK2) = summation($sum(c,summation(max(sK0,sK1)))) | $less(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2)) | ~spl6_90), 2.93/3.19 inference(superposition,[],[f589,f48])). 2.93/3.19 tff(f2102,plain,( 2.93/3.19 summation(sK2) = summation($sum(c,summation(max(sK0,sK1)))) | $less(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2)) | ~spl6_90), 2.93/3.19 inference(superposition,[],[f48,f589])). 2.93/3.19 tff(f2103,plain,( 2.93/3.19 spl6_38 | spl6_256 | ~spl6_90), 2.93/3.19 inference(AVATAR_split_clause,[],[f2097,f588,f1297,f246])). 2.93/3.19 tff(f2104,plain,( 2.93/3.19 spl6_276 | spl6_406 | ~spl6_90), 2.93/3.19 inference(AVATAR_split_clause,[],[f2099,f588,f2084,f1409])). 2.93/3.19 tff(f2105,plain,( 2.93/3.19 spl6_276 | spl6_406 | ~spl6_90), 2.93/3.19 inference(AVATAR_split_clause,[],[f2102,f588,f2084,f1409])). 2.93/3.19 tff(f2112,plain,( 2.93/3.19 ( ! [X5:$int] : ($less(sK5(sK0,sK1,sK2),sK0) | ~$less(sK4(sK0,sK1,X5),sK2) | minsol_model_ub(sK0,sK1,X5) | $less(X5,$sum(c,summation(sK5(sK0,sK1,sK2))))) ) | (~spl6_0 | ~spl6_47)), 2.93/3.19 inference(resolution,[],[f773,f1125])). 2.93/3.19 tff(f2115,plain,( 2.93/3.19 ( ! [X5:$int] : ($less(X5,sK2) | $less(sK5(sK0,sK1,sK2),sK0) | ~$less(sK4(sK0,sK1,X5),sK2) | minsol_model_ub(sK0,sK1,X5)) ) | (~spl6_0 | ~spl6_47 | ~spl6_112)), 2.93/3.19 inference(forward_demodulation,[],[f2112,f677])). 2.93/3.19 tff(f2117,plain,( 2.93/3.19 spl6_48 <=> $less(sK5(sK0,sK1,sK2),sK0)), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_48])])). 2.93/3.19 tff(f2120,plain,( 2.93/3.19 spl6_410 <=> ! [X5 : $int] : ($less(X5,sK2) | minsol_model_ub(sK0,sK1,X5) | ~$less(sK4(sK0,sK1,X5),sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_410])])). 2.93/3.19 tff(f2122,plain,( 2.93/3.19 spl6_48 | spl6_410 | ~spl6_0 | spl6_47 | ~spl6_112), 2.93/3.19 inference(AVATAR_split_clause,[],[f2115,f676,f287,f75,f2120,f2117])). 2.93/3.19 tff(f2134,plain,( 2.93/3.19 ( ! [X0:$int] : ($less(sK5(sK0,sK1,sK2),sK1) | ~$less(sK4(sK0,sK1,X0),sK2) | minsol_model_ub(sK0,sK1,X0) | $less(X0,$sum(c,summation(sK5(sK0,sK1,sK2))))) ) | (~spl6_0 | ~spl6_49)), 2.93/3.19 inference(resolution,[],[f788,f1125])). 2.93/3.19 tff(f2140,plain,( 2.93/3.19 ( ! [X0:$int] : ($less(X0,sK2) | $less(sK5(sK0,sK1,sK2),sK1) | ~$less(sK4(sK0,sK1,X0),sK2) | minsol_model_ub(sK0,sK1,X0)) ) | (~spl6_0 | ~spl6_49 | ~spl6_112)), 2.93/3.19 inference(forward_demodulation,[],[f2134,f677])). 2.93/3.19 tff(f2142,plain,( 2.93/3.19 spl6_46 <=> $less(sK5(sK0,sK1,sK2),sK1)), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_46])])). 2.93/3.19 tff(f2144,plain,( 2.93/3.19 spl6_46 | spl6_410 | ~spl6_0 | spl6_49 | ~spl6_112), 2.93/3.19 inference(AVATAR_split_clause,[],[f2140,f676,f291,f75,f2120,f2142])). 2.93/3.19 tff(f2160,plain,( 2.93/3.19 $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation($sum(c,summation(max(sK0,sK1)))))) | ~spl6_246), 2.93/3.19 inference(resolution,[],[f1249,f49])). 2.93/3.19 tff(f2161,plain,( 2.93/3.19 $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK0)))) | $less(sK0,sK1) | ~spl6_246), 2.93/3.19 inference(superposition,[],[f1249,f48])). 2.93/3.19 tff(f2162,plain,( 2.93/3.19 $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK1)))) | $less(sK1,sK0) | ~spl6_246), 2.93/3.19 inference(superposition,[],[f1249,f47])). 2.93/3.19 tff(f2164,plain,( 2.93/3.19 spl6_412 <=> $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation($sum(c,summation(max(sK0,sK1))))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_412])])). 2.93/3.19 tff(f2166,plain,( 2.93/3.19 spl6_412 | ~spl6_246), 2.93/3.19 inference(AVATAR_split_clause,[],[f2160,f1248,f2164])). 2.93/3.19 tff(f2167,plain,( 2.93/3.19 spl6_38 | spl6_312 | ~spl6_246), 2.93/3.19 inference(AVATAR_split_clause,[],[f2161,f1248,f1647,f246])). 2.93/3.19 tff(f2201,plain,( 2.93/3.19 $sum(c,summation(sK0)) = sK3(sK0,sK1,sK2) | $less($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) | ~spl6_230), 2.93/3.19 inference(superposition,[],[f1160,f47])). 2.93/3.19 tff(f2204,plain,( 2.93/3.19 $sum(c,summation(sK0)) = sK3(sK0,sK1,sK2) | $less($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) | ~spl6_230), 2.93/3.19 inference(superposition,[],[f47,f1160])). 2.93/3.19 tff(f2205,plain,( 2.93/3.19 $sum(c,summation(sK0)) = sK3(sK0,sK1,sK2) | $less($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) | ~spl6_232), 2.93/3.19 inference(superposition,[],[f1164,f48])). 2.93/3.19 tff(f2208,plain,( 2.93/3.19 $sum(c,summation(sK0)) = sK3(sK0,sK1,sK2) | $less($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) | ~spl6_232), 2.93/3.19 inference(superposition,[],[f48,f1164])). 2.93/3.19 tff(f2215,plain,( 2.93/3.19 $less($sum(c,summation(max(sK0,sK1))),$sum(c,summation(max(sK0,sK1)))) | (~spl6_200 | ~spl6_278)), 2.93/3.19 inference(resolution,[],[f1181,f1440])). 2.93/3.19 tff(f2216,plain,( 2.93/3.19 $less($sum(c,summation(sK0)),$sum(c,summation(max(sK0,sK1)))) | (~spl6_200 | ~spl6_372)), 2.93/3.19 inference(resolution,[],[f1181,f1939])). 2.93/3.19 tff(f2220,plain,( 2.93/3.19 spl6_414 <=> $less($sum(c,summation(max(sK0,sK1))),$sum(c,summation(max(sK0,sK1))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_414])])). 2.93/3.19 tff(f2222,plain,( 2.93/3.19 spl6_414 | ~spl6_200 | ~spl6_278), 2.93/3.19 inference(AVATAR_split_clause,[],[f2215,f1439,f1024,f2220])). 2.93/3.19 tff(f2224,plain,( 2.93/3.19 spl6_416 <=> $less($sum(c,summation(sK0)),$sum(c,summation(max(sK0,sK1))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_416])])). 2.93/3.19 tff(f2226,plain,( 2.93/3.19 spl6_416 | ~spl6_200 | ~spl6_372), 2.93/3.19 inference(AVATAR_split_clause,[],[f2216,f1938,f1024,f2224])). 2.93/3.19 tff(f2227,plain,( 2.93/3.19 $sum(c,summation(sK0)) = sK3(sK0,sK1,sK2) | $less(sK0,sK1) | ~spl6_280), 2.93/3.19 inference(superposition,[],[f1443,f48])). 2.93/3.19 tff(f2228,plain,( 2.93/3.19 $sum(c,summation(sK1)) = sK3(sK0,sK1,sK2) | $less(sK1,sK0) | ~spl6_280), 2.93/3.19 inference(superposition,[],[f1443,f47])). 2.93/3.19 tff(f2235,plain,( 2.93/3.19 ~$less(summation(summation(sK2)),summation(summation(sK3(sK0,sK1,sK2)))) | (~spl6_87 | ~spl6_280)), 2.93/3.19 inference(superposition,[],[f581,f1443])). 2.93/3.19 tff(f2236,plain,( 2.93/3.19 summation(sK2) = max(summation(sK2),summation(sK3(sK0,sK1,sK2))) | (~spl6_88 | ~spl6_280)), 2.93/3.19 inference(superposition,[],[f585,f1443])). 2.93/3.19 tff(f2237,plain,( 2.93/3.19 summation(sK2) = max(summation(sK3(sK0,sK1,sK2)),summation(sK2)) | (~spl6_90 | ~spl6_280)), 2.93/3.19 inference(superposition,[],[f589,f1443])). 2.93/3.19 tff(f2239,plain,( 2.93/3.19 $less(sK4(sK0,sK1,sK2),sK3(sK0,sK1,sK2)) | (~spl6_124 | ~spl6_280)), 2.93/3.19 inference(superposition,[],[f743,f1443])). 2.93/3.19 tff(f2248,plain,( 2.93/3.19 $less(summation(sK4(sK0,sK1,sK2)),summation(sK3(sK0,sK1,sK2))) | (~spl6_246 | ~spl6_280)), 2.93/3.19 inference(superposition,[],[f1249,f1443])). 2.93/3.19 tff(f2255,plain,( 2.93/3.19 spl6_418 <=> $sum(c,summation(sK0)) = sK3(sK0,sK1,sK2)), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_418])])). 2.93/3.19 tff(f2256,plain,( 2.93/3.19 $sum(c,summation(sK0)) = sK3(sK0,sK1,sK2) | ~spl6_418), 2.93/3.19 inference(AVATAR_component_clause,[],[f2255])). 2.93/3.19 tff(f2257,plain,( 2.93/3.19 spl6_38 | spl6_418 | ~spl6_280), 2.93/3.19 inference(AVATAR_split_clause,[],[f2227,f1442,f2255,f246])). 2.93/3.19 tff(f2258,plain,( 2.93/3.19 ~spl6_295 | spl6_87 | ~spl6_280), 2.93/3.19 inference(AVATAR_split_clause,[],[f2235,f1442,f580,f1523])). 2.93/3.19 tff(f2259,plain,( 2.93/3.19 spl6_296 | ~spl6_88 | ~spl6_280), 2.93/3.19 inference(AVATAR_split_clause,[],[f2236,f1442,f584,f1527])). 2.93/3.19 tff(f2260,plain,( 2.93/3.19 spl6_298 | ~spl6_90 | ~spl6_280), 2.93/3.19 inference(AVATAR_split_clause,[],[f2237,f1442,f588,f1531])). 2.93/3.19 tff(f2262,plain,( 2.93/3.19 spl6_420 <=> $less(sK4(sK0,sK1,sK2),sK3(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_420])])). 2.93/3.19 tff(f2263,plain,( 2.93/3.19 $less(sK4(sK0,sK1,sK2),sK3(sK0,sK1,sK2)) | ~spl6_420), 2.93/3.19 inference(AVATAR_component_clause,[],[f2262])). 2.93/3.19 tff(f2264,plain,( 2.93/3.19 spl6_420 | ~spl6_124 | ~spl6_280), 2.93/3.19 inference(AVATAR_split_clause,[],[f2239,f1442,f742,f2262])). 2.93/3.19 tff(f2266,plain,( 2.93/3.19 spl6_422 <=> $less(summation(sK4(sK0,sK1,sK2)),summation(sK3(sK0,sK1,sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_422])])). 2.93/3.19 tff(f2268,plain,( 2.93/3.19 spl6_422 | ~spl6_246 | ~spl6_280), 2.93/3.19 inference(AVATAR_split_clause,[],[f2248,f1442,f1248,f2266])). 2.93/3.19 tff(f2269,plain,( 2.93/3.19 spl6_372 | spl6_418 | ~spl6_232), 2.93/3.19 inference(AVATAR_split_clause,[],[f2208,f1163,f2255,f1938])). 2.93/3.19 tff(f2270,plain,( 2.93/3.19 spl6_372 | spl6_418 | ~spl6_232), 2.93/3.19 inference(AVATAR_split_clause,[],[f2205,f1163,f2255,f1938])). 2.93/3.19 tff(f2271,plain,( 2.93/3.19 spl6_372 | spl6_418 | ~spl6_230), 2.93/3.19 inference(AVATAR_split_clause,[],[f2204,f1159,f2255,f1938])). 2.93/3.19 tff(f2272,plain,( 2.93/3.19 spl6_372 | spl6_418 | ~spl6_230), 2.93/3.19 inference(AVATAR_split_clause,[],[f2201,f1159,f2255,f1938])). 2.93/3.19 tff(f2273,plain,( 2.93/3.19 model_max(sK0,sK1,$sum(c,summation(sK0))) | (~spl6_12 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f107,f2256])). 2.93/3.19 tff(f2279,plain,( 2.93/3.19 ~$less($sum(c,summation(sK0)),$sum(c,summation(max(sK0,sK1)))) | (~spl6_197 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f1018,f2256])). 2.93/3.19 tff(f2280,plain,( 2.93/3.19 minsol_model_max(sK0,sK1,$sum(c,summation(sK0))) | (~spl6_200 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f1025,f2256])). 2.93/3.19 tff(f2289,plain,( 2.93/3.19 $less(summation(summation($sum(c,summation(sK0)))),summation(summation(sK2))) | (~spl6_212 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f1072,f2256])). 2.93/3.19 tff(f2290,plain,( 2.93/3.19 ~$less($sum(c,summation(sK0)),$sum(c,summation(sK0))) | (~spl6_215 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f1086,f2256])). 2.93/3.19 tff(f2294,plain,( 2.93/3.19 ~$less(summation($sum(c,summation(sK0))),summation($sum(c,summation(max(sK0,sK1))))) | (~spl6_217 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f1105,f2256])). 2.93/3.19 tff(f2295,plain,( 2.93/3.19 max($sum(c,summation(sK0)),$sum(c,summation(max(sK0,sK1)))) = $sum(c,summation(sK0)) | (~spl6_218 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f1109,f2256])). 2.93/3.19 tff(f2296,plain,( 2.93/3.19 max($sum(c,summation(max(sK0,sK1))),$sum(c,summation(sK0))) = $sum(c,summation(sK0)) | (~spl6_220 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f1113,f2256])). 2.93/3.19 tff(f2297,plain,( 2.93/3.19 ~$less($sum(c,summation(sK0)),$sum(c,summation(sK0))) | (~spl6_223 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f1117,f2256])). 2.93/3.19 tff(f2298,plain,( 2.93/3.19 ~$less(summation($sum(c,summation(sK0))),summation($sum(c,summation(sK0)))) | (~spl6_225 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f1141,f2256])). 2.93/3.19 tff(f2299,plain,( 2.93/3.19 max($sum(c,summation(sK0)),$sum(c,summation(sK0))) = $sum(c,summation(sK0)) | (~spl6_226 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f1145,f2256])). 2.93/3.19 tff(f2300,plain,( 2.93/3.19 ~$less(summation($sum(c,summation(sK0))),summation($sum(c,summation(sK0)))) | (~spl6_229 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f1156,f2256])). 2.93/3.19 tff(f2301,plain,( 2.93/3.19 max($sum(c,summation(sK0)),$sum(c,summation(sK0))) = $sum(c,summation(sK0)) | (~spl6_230 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f1160,f2256])). 2.93/3.19 tff(f2302,plain,( 2.93/3.19 max($sum(c,summation(sK0)),$sum(c,summation(sK0))) = $sum(c,summation(sK0)) | (~spl6_232 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f1164,f2256])). 2.93/3.19 tff(f2306,plain,( 2.93/3.19 $less(summation(summation(summation($sum(c,summation(sK0))))),summation(summation(summation(sK2)))) | (~spl6_236 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f1193,f2256])). 2.93/3.19 tff(f2307,plain,( 2.93/3.19 $less($sum(c,summation(sK0)),$sum(c,summation(sK2))) | (~spl6_394 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f2042,f2256])). 2.93/3.19 tff(f2308,plain,( 2.93/3.19 model_max(sK0,sK1,$sum(c,summation(sK0))) | minsol_model_max(sK0,sK1,sK2) | ~model_max(sK0,sK1,sK2) | ~spl6_418), 2.93/3.19 inference(superposition,[],[f56,f2256])). 2.93/3.19 tff(f2311,plain,( 2.93/3.19 spl6_424 <=> model_max(sK0,sK1,$sum(c,summation(sK0)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_424])])). 2.93/3.19 tff(f2312,plain,( 2.93/3.19 model_max(sK0,sK1,$sum(c,summation(sK0))) | ~spl6_424), 2.93/3.19 inference(AVATAR_component_clause,[],[f2311])). 2.93/3.19 tff(f2313,plain,( 2.93/3.19 spl6_424 | ~spl6_12 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2273,f2255,f106,f2311])). 2.93/3.19 tff(f2314,plain,( 2.93/3.19 ~$less($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) | (~spl6_197 | ~spl6_280 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f2279,f1443])). 2.93/3.19 tff(f2315,plain,( 2.93/3.19 ~$less($sum(c,summation(sK0)),$sum(c,summation(sK0))) | (~spl6_197 | ~spl6_280 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f2314,f2256])). 2.93/3.19 tff(f2317,plain,( 2.93/3.19 spl6_427 <=> ~$less($sum(c,summation(sK0)),$sum(c,summation(sK0)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_427])])). 2.93/3.19 tff(f2318,plain,( 2.93/3.19 ~$less($sum(c,summation(sK0)),$sum(c,summation(sK0))) | ~spl6_427), 2.93/3.19 inference(AVATAR_component_clause,[],[f2317])). 2.93/3.19 tff(f2319,plain,( 2.93/3.19 ~spl6_427 | spl6_197 | ~spl6_280 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2315,f2255,f1442,f1017,f2317])). 2.93/3.19 tff(f2321,plain,( 2.93/3.19 spl6_428 <=> minsol_model_max(sK0,sK1,$sum(c,summation(sK0)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_428])])). 2.93/3.19 tff(f2322,plain,( 2.93/3.19 minsol_model_max(sK0,sK1,$sum(c,summation(sK0))) | ~spl6_428), 2.93/3.19 inference(AVATAR_component_clause,[],[f2321])). 2.93/3.19 tff(f2323,plain,( 2.93/3.19 spl6_428 | ~spl6_200 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2280,f2255,f1024,f2321])). 2.93/3.19 tff(f2324,plain,( 2.93/3.19 spl6_310 | ~spl6_212 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2289,f2255,f1071,f1629])). 2.93/3.19 tff(f2325,plain,( 2.93/3.19 ~spl6_427 | spl6_215 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2290,f2255,f1085,f2317])). 2.93/3.19 tff(f2332,plain,( 2.93/3.19 ~$less(summation($sum(c,summation(sK0))),summation(sK3(sK0,sK1,sK2))) | (~spl6_217 | ~spl6_280 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f2294,f1443])). 2.93/3.19 tff(f2333,plain,( 2.93/3.19 ~$less(summation($sum(c,summation(sK0))),summation($sum(c,summation(sK0)))) | (~spl6_217 | ~spl6_280 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f2332,f2256])). 2.93/3.19 tff(f2335,plain,( 2.93/3.19 spl6_431 <=> ~$less(summation($sum(c,summation(sK0))),summation($sum(c,summation(sK0))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_431])])). 2.93/3.19 tff(f2337,plain,( 2.93/3.19 ~spl6_431 | spl6_217 | ~spl6_280 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2333,f2255,f1442,f1104,f2335])). 2.93/3.19 tff(f2338,plain,( 2.93/3.19 max($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) = $sum(c,summation(sK0)) | (~spl6_218 | ~spl6_280 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f2295,f1443])). 2.93/3.19 tff(f2339,plain,( 2.93/3.19 max($sum(c,summation(sK0)),$sum(c,summation(sK0))) = $sum(c,summation(sK0)) | (~spl6_218 | ~spl6_280 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f2338,f2256])). 2.93/3.19 tff(f2341,plain,( 2.93/3.19 spl6_432 <=> max($sum(c,summation(sK0)),$sum(c,summation(sK0))) = $sum(c,summation(sK0))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_432])])). 2.93/3.19 tff(f2343,plain,( 2.93/3.19 spl6_432 | ~spl6_218 | ~spl6_280 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2339,f2255,f1442,f1108,f2341])). 2.93/3.19 tff(f2344,plain,( 2.93/3.19 max(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) = $sum(c,summation(sK0)) | (~spl6_220 | ~spl6_280 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f2296,f1443])). 2.93/3.19 tff(f2345,plain,( 2.93/3.19 max($sum(c,summation(sK0)),$sum(c,summation(sK0))) = $sum(c,summation(sK0)) | (~spl6_220 | ~spl6_280 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f2344,f2256])). 2.93/3.19 tff(f2346,plain,( 2.93/3.19 spl6_432 | ~spl6_220 | ~spl6_280 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2345,f2255,f1442,f1112,f2341])). 2.93/3.19 tff(f2347,plain,( 2.93/3.19 ~spl6_427 | spl6_223 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2297,f2255,f1116,f2317])). 2.93/3.19 tff(f2348,plain,( 2.93/3.19 ~spl6_431 | spl6_225 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2298,f2255,f1140,f2335])). 2.93/3.19 tff(f2349,plain,( 2.93/3.19 spl6_432 | ~spl6_226 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2299,f2255,f1144,f2341])). 2.93/3.19 tff(f2350,plain,( 2.93/3.19 ~spl6_431 | spl6_229 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2300,f2255,f1155,f2335])). 2.93/3.19 tff(f2351,plain,( 2.93/3.19 spl6_432 | ~spl6_230 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2301,f2255,f1159,f2341])). 2.93/3.19 tff(f2352,plain,( 2.93/3.19 spl6_432 | ~spl6_232 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2302,f2255,f1163,f2341])). 2.93/3.19 tff(f2356,plain,( 2.93/3.19 spl6_434 <=> $less(summation(summation(summation($sum(c,summation(sK0))))),summation(summation(summation(sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_434])])). 2.93/3.19 tff(f2358,plain,( 2.93/3.19 spl6_434 | ~spl6_236 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2306,f2255,f1192,f2356])). 2.93/3.19 tff(f2360,plain,( 2.93/3.19 spl6_436 <=> $less($sum(c,summation(sK0)),$sum(c,summation(sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_436])])). 2.93/3.19 tff(f2361,plain,( 2.93/3.19 $less($sum(c,summation(sK0)),$sum(c,summation(sK2))) | ~spl6_436), 2.93/3.19 inference(AVATAR_component_clause,[],[f2360])). 2.93/3.19 tff(f2362,plain,( 2.93/3.19 spl6_436 | ~spl6_394 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2307,f2255,f2041,f2360])). 2.93/3.19 tff(f2363,plain,( 2.93/3.19 ~spl6_11 | spl6_2 | spl6_424 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2308,f2255,f2311,f78,f103])). 2.93/3.19 tff(f2367,plain,( 2.93/3.19 model_max(sK0,sK1,sK3(sK0,sK1,$sum(c,summation(sK0)))) | ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) | (~spl6_12 | ~spl6_424)), 2.93/3.19 inference(resolution,[],[f2312,f1082])). 2.93/3.19 tff(f2368,plain,( 2.93/3.19 $less(sK3(sK0,sK1,$sum(c,summation(sK0))),$sum(c,summation(sK0))) | ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) | (~spl6_12 | ~spl6_424)), 2.93/3.19 inference(resolution,[],[f2312,f1083])). 2.93/3.19 tff(f2371,plain,( 2.93/3.19 ~$less($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) | (~spl6_200 | ~spl6_424)), 2.93/3.19 inference(resolution,[],[f2312,f1039])). 2.93/3.19 tff(f2372,plain,( 2.93/3.19 ~$less($sum(c,summation(sK0)),$sum(c,summation(max(sK0,sK1)))) | ~spl6_424), 2.93/3.19 inference(resolution,[],[f2312,f63])). 2.93/3.19 tff(f2374,plain,( 2.93/3.19 minsol_model_max(sK0,sK1,$sum(c,summation(sK0))) | model_max(sK0,sK1,sK3(sK0,sK1,$sum(c,summation(sK0)))) | ~spl6_424), 2.93/3.19 inference(resolution,[],[f2312,f56])). 2.93/3.19 tff(f2375,plain,( 2.93/3.19 minsol_model_max(sK0,sK1,$sum(c,summation(sK0))) | $less(sK3(sK0,sK1,$sum(c,summation(sK0))),$sum(c,summation(sK0))) | ~spl6_424), 2.93/3.19 inference(resolution,[],[f2312,f57])). 2.93/3.19 tff(f2376,plain,( 2.93/3.19 ~$less($sum(c,summation(sK0)),$sum(c,summation(sK0))) | (~spl6_200 | ~spl6_418 | ~spl6_424)), 2.93/3.19 inference(forward_demodulation,[],[f2371,f2256])). 2.93/3.19 tff(f2377,plain,( 2.93/3.19 ~spl6_427 | ~spl6_200 | ~spl6_418 | ~spl6_424), 2.93/3.19 inference(AVATAR_split_clause,[],[f2376,f2311,f2255,f1024,f2317])). 2.93/3.19 tff(f2378,plain,( 2.93/3.19 ~$less($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) | (~spl6_280 | ~spl6_424)), 2.93/3.19 inference(forward_demodulation,[],[f2372,f1443])). 2.93/3.19 tff(f2379,plain,( 2.93/3.19 ~$less($sum(c,summation(sK0)),$sum(c,summation(sK0))) | (~spl6_280 | ~spl6_418 | ~spl6_424)), 2.93/3.19 inference(forward_demodulation,[],[f2378,f2256])). 2.93/3.19 tff(f2380,plain,( 2.93/3.19 ~spl6_427 | ~spl6_280 | ~spl6_418 | ~spl6_424), 2.93/3.19 inference(AVATAR_split_clause,[],[f2379,f2311,f2255,f1442,f2317])). 2.93/3.19 tff(f2382,plain,( 2.93/3.19 spl6_438 <=> model_max(sK0,sK1,sK3(sK0,sK1,$sum(c,summation(sK0))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_438])])). 2.93/3.19 tff(f2384,plain,( 2.93/3.19 spl6_438 | spl6_428 | ~spl6_424), 2.93/3.19 inference(AVATAR_split_clause,[],[f2374,f2311,f2321,f2382])). 2.93/3.19 tff(f2386,plain,( 2.93/3.19 spl6_440 <=> $less(sK3(sK0,sK1,$sum(c,summation(sK0))),$sum(c,summation(sK0)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_440])])). 2.93/3.19 tff(f2388,plain,( 2.93/3.19 spl6_440 | spl6_428 | ~spl6_424), 2.93/3.19 inference(AVATAR_split_clause,[],[f2375,f2311,f2321,f2386])). 2.93/3.19 tff(f2395,plain,( 2.93/3.19 ~$less($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) | (~spl6_200 | ~spl6_428)), 2.93/3.19 inference(resolution,[],[f2322,f1182])). 2.93/3.19 tff(f2396,plain,( 2.93/3.19 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) | (~spl6_12 | ~spl6_428)), 2.93/3.19 inference(resolution,[],[f2322,f1013])). 2.93/3.19 tff(f2400,plain,( 2.93/3.19 ~$less($sum(c,summation(sK0)),$sum(c,summation(sK0))) | (~spl6_200 | ~spl6_418 | ~spl6_428)), 2.93/3.19 inference(forward_demodulation,[],[f2395,f2256])). 2.93/3.19 tff(f2401,plain,( 2.93/3.19 ~spl6_427 | ~spl6_200 | ~spl6_418 | ~spl6_428), 2.93/3.19 inference(AVATAR_split_clause,[],[f2400,f2321,f2255,f1024,f2317])). 2.93/3.19 tff(f2422,plain,( 2.93/3.19 ~$less(summation($sum(c,summation(sK0))),summation($sum(c,summation(sK0)))) | ~spl6_427), 2.93/3.19 inference(resolution,[],[f2318,f50])). 2.93/3.19 tff(f2423,plain,( 2.93/3.19 max($sum(c,summation(sK0)),$sum(c,summation(sK0))) = $sum(c,summation(sK0)) | ~spl6_427), 2.93/3.19 inference(resolution,[],[f2318,f48])). 2.93/3.19 tff(f2424,plain,( 2.93/3.19 max($sum(c,summation(sK0)),$sum(c,summation(sK0))) = $sum(c,summation(sK0)) | ~spl6_427), 2.93/3.19 inference(resolution,[],[f2318,f47])). 2.93/3.19 tff(f2425,plain,( 2.93/3.19 ~spl6_431 | spl6_427), 2.93/3.19 inference(AVATAR_split_clause,[],[f2422,f2317,f2335])). 2.93/3.19 tff(f2426,plain,( 2.93/3.19 spl6_432 | spl6_427), 2.93/3.19 inference(AVATAR_split_clause,[],[f2423,f2317,f2341])). 2.93/3.19 tff(f2427,plain,( 2.93/3.19 spl6_432 | spl6_427), 2.93/3.19 inference(AVATAR_split_clause,[],[f2424,f2317,f2341])). 2.93/3.19 tff(f2439,plain,( 2.93/3.19 $less(summation($sum(c,summation(sK0))),summation($sum(c,summation(sK2)))) | ~spl6_436), 2.93/3.19 inference(resolution,[],[f2361,f49])). 2.93/3.19 tff(f2441,plain,( 2.93/3.19 spl6_442 <=> $less(summation($sum(c,summation(sK0))),summation($sum(c,summation(sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_442])])). 2.93/3.19 tff(f2443,plain,( 2.93/3.19 spl6_442 | ~spl6_436), 2.93/3.19 inference(AVATAR_split_clause,[],[f2439,f2360,f2441])). 2.93/3.19 tff(f2470,plain,( 2.93/3.19 ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK3(sK0,sK1,sK2)))) | (~spl6_271 | ~spl6_280)), 2.93/3.19 inference(forward_demodulation,[],[f1376,f1443])). 2.93/3.19 tff(f2471,plain,( 2.93/3.19 ~$less(summation(summation($sum(c,summation(sK0)))),summation(summation($sum(c,summation(sK0))))) | (~spl6_271 | ~spl6_280 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f2470,f2256])). 2.93/3.19 tff(f2473,plain,( 2.93/3.19 spl6_445 <=> ~$less(summation(summation($sum(c,summation(sK0)))),summation(summation($sum(c,summation(sK0)))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_445])])). 2.93/3.19 tff(f2474,plain,( 2.93/3.19 ~$less(summation(summation($sum(c,summation(sK0)))),summation(summation($sum(c,summation(sK0))))) | ~spl6_445), 2.93/3.19 inference(AVATAR_component_clause,[],[f2473])). 2.93/3.19 tff(f2475,plain,( 2.93/3.19 ~spl6_445 | spl6_271 | ~spl6_280 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2471,f2255,f1442,f1375,f2473])). 2.93/3.19 tff(f2479,plain,( 2.93/3.19 ~$less(summation(summation(summation(sK5(sK0,sK1,sK2)))),summation(summation(summation(sK1)))) | ~spl6_155), 2.93/3.19 inference(resolution,[],[f866,f50])). 2.93/3.19 tff(f2480,plain,( 2.93/3.19 summation(summation(sK5(sK0,sK1,sK2))) = max(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK1))) | ~spl6_155), 2.93/3.19 inference(resolution,[],[f866,f48])). 2.93/3.19 tff(f2481,plain,( 2.93/3.19 summation(summation(sK5(sK0,sK1,sK2))) = max(summation(summation(sK1)),summation(summation(sK5(sK0,sK1,sK2)))) | ~spl6_155), 2.93/3.19 inference(resolution,[],[f866,f47])). 2.93/3.19 tff(f2483,plain,( 2.93/3.19 spl6_447 <=> ~$less(summation(summation(summation(sK5(sK0,sK1,sK2)))),summation(summation(summation(sK1))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_447])])). 2.93/3.19 tff(f2485,plain,( 2.93/3.19 ~spl6_447 | spl6_155), 2.93/3.19 inference(AVATAR_split_clause,[],[f2479,f865,f2483])). 2.93/3.19 tff(f2487,plain,( 2.93/3.19 spl6_448 <=> summation(summation(sK5(sK0,sK1,sK2))) = max(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK1)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_448])])). 2.93/3.19 tff(f2489,plain,( 2.93/3.19 spl6_448 | spl6_155), 2.93/3.19 inference(AVATAR_split_clause,[],[f2480,f865,f2487])). 2.93/3.19 tff(f2491,plain,( 2.93/3.19 spl6_450 <=> summation(summation(sK5(sK0,sK1,sK2))) = max(summation(summation(sK1)),summation(summation(sK5(sK0,sK1,sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_450])])). 2.93/3.19 tff(f2493,plain,( 2.93/3.19 spl6_450 | spl6_155), 2.93/3.19 inference(AVATAR_split_clause,[],[f2481,f865,f2491])). 2.93/3.19 tff(f2494,plain,( 2.93/3.19 ~$less(summation($sum(c,summation(sK0))),summation($sum(c,summation(sK0)))) | ~spl6_445), 2.93/3.19 inference(resolution,[],[f2474,f49])). 2.93/3.19 tff(f2497,plain,( 2.93/3.19 ~$less(summation(summation(summation($sum(c,summation(sK0))))),summation(summation(summation($sum(c,summation(sK0)))))) | ~spl6_445), 2.93/3.19 inference(resolution,[],[f2474,f50])). 2.93/3.19 tff(f2498,plain,( 2.93/3.19 summation(summation($sum(c,summation(sK0)))) = max(summation(summation($sum(c,summation(sK0)))),summation(summation($sum(c,summation(sK0))))) | ~spl6_445), 2.93/3.19 inference(resolution,[],[f2474,f48])). 2.93/3.19 tff(f2499,plain,( 2.93/3.19 summation(summation($sum(c,summation(sK0)))) = max(summation(summation($sum(c,summation(sK0)))),summation(summation($sum(c,summation(sK0))))) | ~spl6_445), 2.93/3.19 inference(resolution,[],[f2474,f47])). 2.93/3.19 tff(f2500,plain,( 2.93/3.19 ~spl6_431 | spl6_445), 2.93/3.19 inference(AVATAR_split_clause,[],[f2494,f2473,f2335])). 2.93/3.19 tff(f2502,plain,( 2.93/3.19 spl6_453 <=> ~$less(summation(summation(summation($sum(c,summation(sK0))))),summation(summation(summation($sum(c,summation(sK0))))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_453])])). 2.93/3.19 tff(f2504,plain,( 2.93/3.19 ~spl6_453 | spl6_445), 2.93/3.19 inference(AVATAR_split_clause,[],[f2497,f2473,f2502])). 2.93/3.19 tff(f2506,plain,( 2.93/3.19 spl6_454 <=> summation(summation($sum(c,summation(sK0)))) = max(summation(summation($sum(c,summation(sK0)))),summation(summation($sum(c,summation(sK0)))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_454])])). 2.93/3.19 tff(f2508,plain,( 2.93/3.19 spl6_454 | spl6_445), 2.93/3.19 inference(AVATAR_split_clause,[],[f2498,f2473,f2506])). 2.93/3.19 tff(f2509,plain,( 2.93/3.19 spl6_454 | spl6_445), 2.93/3.19 inference(AVATAR_split_clause,[],[f2499,f2473,f2506])). 2.93/3.19 tff(f2510,plain,( 2.93/3.19 ( ! [X15:$int] : ($less($sum(c,summation(sK0)),$sum(c,summation(X15))) | $less(X15,sK0) | $less(X15,sK1)) ) | (~spl6_0 | ~spl6_14 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f1422,f2256])). 2.93/3.19 tff(f2521,plain,( 2.93/3.19 $less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK0) | $less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK1) | (~spl6_0 | ~spl6_8 | ~spl6_129)), 2.93/3.19 inference(resolution,[],[f1424,f756])). 2.93/3.19 tff(f2532,plain,( 2.93/3.19 spl6_150 <=> $less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK1)), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_150])])). 2.93/3.19 tff(f2533,plain,( 2.93/3.19 $less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK1) | ~spl6_150), 2.93/3.19 inference(AVATAR_component_clause,[],[f2532])). 2.93/3.19 tff(f2535,plain,( 2.93/3.19 spl6_152 <=> $less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK0)), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_152])])). 2.93/3.19 tff(f2536,plain,( 2.93/3.19 $less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK0) | ~spl6_152), 2.93/3.19 inference(AVATAR_component_clause,[],[f2535])). 2.93/3.19 tff(f2537,plain,( 2.93/3.19 spl6_150 | spl6_152 | ~spl6_0 | ~spl6_8 | spl6_129), 2.93/3.19 inference(AVATAR_split_clause,[],[f2521,f755,f91,f75,f2535,f2532])). 2.93/3.19 tff(f2546,plain,( 2.93/3.19 $less(sK4(sK0,sK1,sK2),sK4(sK0,sK1,sK2)) | $less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK0) | $less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK1) | (~spl6_0 | ~spl6_8 | ~spl6_306)), 2.93/3.19 inference(superposition,[],[f1424,f1586])). 2.93/3.19 tff(f2549,plain,( 2.93/3.19 spl6_148 <=> $less(sK4(sK0,sK1,sK2),sK4(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_148])])). 2.93/3.19 tff(f2551,plain,( 2.93/3.19 spl6_150 | spl6_152 | spl6_148 | ~spl6_0 | ~spl6_8 | ~spl6_306), 2.93/3.19 inference(AVATAR_split_clause,[],[f2546,f1585,f91,f75,f2549,f2535,f2532])). 2.93/3.19 tff(f2556,plain,( 2.93/3.19 $less(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK0)) | ~spl6_152), 2.93/3.19 inference(resolution,[],[f2536,f49])). 2.93/3.19 tff(f2558,plain,( 2.93/3.19 spl6_186 <=> $less(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK0))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_186])])). 2.93/3.19 tff(f2560,plain,( 2.93/3.19 spl6_186 | ~spl6_152), 2.93/3.19 inference(AVATAR_split_clause,[],[f2556,f2535,f2558])). 2.93/3.19 tff(f2568,plain,( 2.93/3.19 ~$less(summation(summation(summation(sK2))),summation(summation(summation($sum(c,summation(sK1)))))) | ~spl6_167), 2.93/3.19 inference(resolution,[],[f908,f50])). 2.93/3.19 tff(f2569,plain,( 2.93/3.19 summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation($sum(c,summation(sK1))))) | ~spl6_167), 2.93/3.19 inference(resolution,[],[f908,f48])). 2.93/3.19 tff(f2570,plain,( 2.93/3.19 summation(summation(sK2)) = max(summation(summation($sum(c,summation(sK1)))),summation(summation(sK2))) | ~spl6_167), 2.93/3.19 inference(resolution,[],[f908,f47])). 2.93/3.19 tff(f2572,plain,( 2.93/3.19 spl6_457 <=> ~$less(summation(summation(summation(sK2))),summation(summation(summation($sum(c,summation(sK1))))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_457])])). 2.93/3.19 tff(f2574,plain,( 2.93/3.19 ~spl6_457 | spl6_167), 2.93/3.19 inference(AVATAR_split_clause,[],[f2568,f907,f2572])). 2.93/3.19 tff(f2576,plain,( 2.93/3.19 spl6_458 <=> summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation($sum(c,summation(sK1)))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_458])])). 2.93/3.19 tff(f2578,plain,( 2.93/3.19 spl6_458 | spl6_167), 2.93/3.19 inference(AVATAR_split_clause,[],[f2569,f907,f2576])). 2.93/3.19 tff(f2580,plain,( 2.93/3.19 spl6_460 <=> summation(summation(sK2)) = max(summation(summation($sum(c,summation(sK1)))),summation(summation(sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_460])])). 2.93/3.19 tff(f2582,plain,( 2.93/3.19 spl6_460 | spl6_167), 2.93/3.19 inference(AVATAR_split_clause,[],[f2570,f907,f2580])). 2.93/3.19 tff(f2583,plain,( 2.93/3.19 $less(sK0,sK0) | $less(sK0,sK1) | (~spl6_0 | ~spl6_14 | ~spl6_418 | ~spl6_427)), 2.93/3.19 inference(resolution,[],[f2510,f2318])). 2.93/3.19 tff(f2593,plain,( 2.93/3.19 $less($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) | $less(max(sK0,sK1),sK0) | $less(max(sK0,sK1),sK1) | (~spl6_0 | ~spl6_14 | ~spl6_280 | ~spl6_418)), 2.93/3.19 inference(superposition,[],[f2510,f1443])). 2.93/3.19 tff(f2594,plain,( 2.93/3.19 spl6_38 | spl6_122 | ~spl6_0 | ~spl6_14 | ~spl6_418 | spl6_427), 2.93/3.19 inference(AVATAR_split_clause,[],[f2583,f2317,f2255,f110,f75,f718,f246])). 2.93/3.19 tff(f2595,plain,( 2.93/3.19 $less($sum(c,summation(sK0)),$sum(c,summation(sK0))) | $less(max(sK0,sK1),sK0) | $less(max(sK0,sK1),sK1) | (~spl6_0 | ~spl6_14 | ~spl6_280 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f2593,f2256])). 2.93/3.19 tff(f2597,plain,( 2.93/3.19 spl6_426 <=> $less($sum(c,summation(sK0)),$sum(c,summation(sK0)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_426])])). 2.93/3.19 tff(f2599,plain,( 2.93/3.19 spl6_118 | spl6_120 | spl6_426 | ~spl6_0 | ~spl6_14 | ~spl6_280 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2595,f2255,f1442,f110,f75,f2597,f714,f711])). 2.93/3.19 tff(f2600,plain,( 2.93/3.19 ~spl6_7 | spl6_0 | spl6_5), 2.93/3.19 inference(AVATAR_split_clause,[],[f1074,f991,f75,f87])). 2.93/3.19 tff(f2601,plain,( 2.93/3.19 $sum(c,summation(sK0)) = $sum(c,summation(sK1)) | $less(sK1,sK0) | (~spl6_280 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f2228,f2256])). 2.93/3.19 tff(f2603,plain,( 2.93/3.19 spl6_462 <=> $sum(c,summation(sK0)) = $sum(c,summation(sK1))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_462])])). 2.93/3.19 tff(f2605,plain,( 2.93/3.19 spl6_42 | spl6_462 | ~spl6_280 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2601,f2255,f1442,f2603,f253])). 2.93/3.19 tff(f2607,plain,( 2.93/3.19 spl6_464 <=> $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK1))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_464])])). 2.93/3.19 tff(f2609,plain,( 2.93/3.19 spl6_42 | spl6_464 | ~spl6_246), 2.93/3.19 inference(AVATAR_split_clause,[],[f2162,f1248,f2607,f253])). 2.93/3.19 tff(f2610,plain,( 2.93/3.19 spl6_42 | spl6_170 | ~spl6_90), 2.93/3.19 inference(AVATAR_split_clause,[],[f2098,f588,f915,f253])). 2.93/3.19 tff(f2611,plain,( 2.93/3.19 spl6_42 | spl6_168 | ~spl6_88), 2.93/3.19 inference(AVATAR_split_clause,[],[f2077,f584,f911,f253])). 2.93/3.19 tff(f2613,plain,( 2.93/3.19 spl6_466 <=> ! [X1 : $int] : ~ub($sum(c,summation(sK1)),X1,sK4(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_466])])). 2.93/3.19 tff(f2615,plain,( 2.93/3.19 spl6_42 | spl6_466 | ~spl6_124), 2.93/3.19 inference(AVATAR_split_clause,[],[f2015,f742,f2613,f253])). 2.93/3.19 tff(f2617,plain,( 2.93/3.19 spl6_468 <=> ! [X1 : $int] : ~ub(X1,$sum(c,summation(sK1)),sK4(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_468])])). 2.93/3.19 tff(f2619,plain,( 2.93/3.19 spl6_42 | spl6_468 | ~spl6_124), 2.93/3.19 inference(AVATAR_split_clause,[],[f1998,f742,f2617,f253])). 2.93/3.19 tff(f2620,plain,( 2.93/3.19 ( ! [X1:$int] : (ub($sum(c,summation(sK1)),X1,$sum(c,summation(sK0))) | $less(sK3(sK0,sK1,sK2),X1) | $less(sK1,sK0)) ) | (~spl6_197 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f1571,f2256])). 2.93/3.19 tff(f2621,plain,( 2.93/3.19 ( ! [X1:$int] : ($less($sum(c,summation(sK0)),X1) | ub($sum(c,summation(sK1)),X1,$sum(c,summation(sK0))) | $less(sK1,sK0)) ) | (~spl6_197 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f2620,f2256])). 2.93/3.19 tff(f2623,plain,( 2.93/3.19 spl6_470 <=> ! [X1 : $int] : ($less($sum(c,summation(sK0)),X1) | ub($sum(c,summation(sK1)),X1,$sum(c,summation(sK0))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_470])])). 2.93/3.19 tff(f2625,plain,( 2.93/3.19 spl6_42 | spl6_470 | spl6_197 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2621,f2255,f1017,f2623,f253])). 2.93/3.19 tff(f2626,plain,( 2.93/3.19 ( ! [X1:$int] : (ub(X1,$sum(c,summation(sK1)),$sum(c,summation(sK0))) | $less(sK3(sK0,sK1,sK2),X1) | $less(sK1,sK0)) ) | (~spl6_197 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f1561,f2256])). 2.93/3.19 tff(f2627,plain,( 2.93/3.19 ( ! [X1:$int] : ($less($sum(c,summation(sK0)),X1) | ub(X1,$sum(c,summation(sK1)),$sum(c,summation(sK0))) | $less(sK1,sK0)) ) | (~spl6_197 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f2626,f2256])). 2.93/3.19 tff(f2629,plain,( 2.93/3.19 spl6_472 <=> ! [X1 : $int] : ($less($sum(c,summation(sK0)),X1) | ub(X1,$sum(c,summation(sK1)),$sum(c,summation(sK0))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_472])])). 2.93/3.19 tff(f2631,plain,( 2.93/3.19 spl6_42 | spl6_472 | spl6_197 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2627,f2255,f1017,f2629,f253])). 2.93/3.19 tff(f2632,plain,( 2.93/3.19 max($sum(c,summation(sK1)),$sum(c,summation(sK0))) = $sum(c,summation(sK0)) | $less(sK1,sK0) | (~spl6_220 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f1465,f2256])). 2.93/3.19 tff(f2634,plain,( 2.93/3.19 spl6_474 <=> max($sum(c,summation(sK1)),$sum(c,summation(sK0))) = $sum(c,summation(sK0))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_474])])). 2.93/3.19 tff(f2636,plain,( 2.93/3.19 spl6_42 | spl6_474 | ~spl6_220 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2632,f2255,f1112,f2634,f253])). 2.93/3.19 tff(f2637,plain,( 2.93/3.19 max($sum(c,summation(sK0)),$sum(c,summation(sK1))) = $sum(c,summation(sK0)) | $less(sK1,sK0) | (~spl6_218 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f1432,f2256])). 2.93/3.19 tff(f2639,plain,( 2.93/3.19 spl6_476 <=> max($sum(c,summation(sK0)),$sum(c,summation(sK1))) = $sum(c,summation(sK0))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_476])])). 2.93/3.19 tff(f2641,plain,( 2.93/3.19 spl6_42 | spl6_476 | ~spl6_218 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2637,f2255,f1108,f2639,f253])). 2.93/3.19 tff(f2642,plain,( 2.93/3.19 ~$less(summation($sum(c,summation(sK0))),summation($sum(c,summation(sK1)))) | $less(sK1,sK0) | (~spl6_217 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f1373,f2256])). 2.93/3.19 tff(f2644,plain,( 2.93/3.19 spl6_479 <=> ~$less(summation($sum(c,summation(sK0))),summation($sum(c,summation(sK1))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_479])])). 2.93/3.19 tff(f2646,plain,( 2.93/3.19 spl6_42 | ~spl6_479 | spl6_217 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2642,f2255,f1104,f2644,f253])). 2.93/3.19 tff(f2647,plain,( 2.93/3.19 ( ! [X2:$int,X3:$int] : (model_ub(X2,X3,$sum(c,summation(sK0))) | ~ub(X2,X3,sK1) | $less(sK1,sK0)) ) | (~spl6_197 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f1361,f2256])). 2.93/3.19 tff(f2649,plain,( 2.93/3.19 spl6_480 <=> ! [X3 : $int,X2 : $int] : (model_ub(X2,X3,$sum(c,summation(sK0))) | ~ub(X2,X3,sK1))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_480])])). 2.93/3.19 tff(f2651,plain,( 2.93/3.19 spl6_42 | spl6_480 | spl6_197 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2647,f2255,f1017,f2649,f253])). 2.93/3.19 tff(f2653,plain,( 2.93/3.19 spl6_482 <=> $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK1)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_482])])). 2.93/3.19 tff(f2654,plain,( 2.93/3.19 $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK1))) | ~spl6_482), 2.93/3.19 inference(AVATAR_component_clause,[],[f2653])). 2.93/3.19 tff(f2655,plain,( 2.93/3.19 spl6_42 | spl6_482 | ~spl6_124), 2.93/3.19 inference(AVATAR_split_clause,[],[f1242,f742,f2653,f253])). 2.93/3.19 tff(f2656,plain,( 2.93/3.19 ~$less($sum(c,summation(sK0)),$sum(c,summation(sK1))) | $less(sK1,sK0) | (~spl6_197 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f1102,f2256])). 2.93/3.19 tff(f2658,plain,( 2.93/3.19 spl6_485 <=> ~$less($sum(c,summation(sK0)),$sum(c,summation(sK1)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_485])])). 2.93/3.19 tff(f2660,plain,( 2.93/3.19 spl6_42 | ~spl6_485 | spl6_197 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2656,f2255,f1017,f2658,f253])). 2.93/3.19 tff(f2661,plain,( 2.93/3.19 ~spl6_47 | spl6_51), 2.93/3.19 inference(AVATAR_split_clause,[],[f858,f308,f287])). 2.93/3.19 tff(f2662,plain,( 2.93/3.19 ~spl6_49 | spl6_73), 2.93/3.19 inference(AVATAR_split_clause,[],[f1204,f467,f291])). 2.93/3.19 tff(f2663,plain,( 2.93/3.19 spl6_64 | ~spl6_78), 2.93/3.19 inference(AVATAR_split_clause,[],[f658,f530,f432])). 2.93/3.19 tff(f2664,plain,( 2.93/3.19 $less($sum(c,summation(sK0)),$sum(c,summation(sK5(sK0,sK1,sK2)))) | (~spl6_260 | ~spl6_418)), 2.93/3.19 inference(forward_demodulation,[],[f1315,f2256])). 2.93/3.19 tff(f2666,plain,( 2.93/3.19 spl6_486 <=> $less($sum(c,summation(sK0)),$sum(c,summation(sK5(sK0,sK1,sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_486])])). 2.93/3.19 tff(f2668,plain,( 2.93/3.19 spl6_486 | ~spl6_260 | ~spl6_418), 2.93/3.19 inference(AVATAR_split_clause,[],[f2664,f2255,f1314,f2666])). 2.93/3.19 tff(f2669,plain,( 2.93/3.19 spl6_336 | ~spl6_340), 2.93/3.19 inference(AVATAR_split_clause,[],[f1916,f1803,f1788])). 2.93/3.19 tff(f2670,plain,( 2.93/3.19 spl6_342 | ~spl6_346), 2.93/3.19 inference(AVATAR_split_clause,[],[f1941,f1832,f1817])). 2.93/3.19 tff(f2672,plain,( 2.93/3.19 spl6_488 <=> $less(sK1,sK1)), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_488])])). 2.93/3.19 tff(f2674,plain,( 2.93/3.19 spl6_488 | spl6_42 | spl6_7 | spl6_45), 2.93/3.19 inference(AVATAR_split_clause,[],[f700,f256,f87,f253,f2672])). 2.93/3.19 tff(f2675,plain,( 2.93/3.19 ~spl6_1 | spl6_7), 2.93/3.19 inference(AVATAR_split_clause,[],[f493,f87,f68])). 2.93/3.19 tff(f2676,plain,( 2.93/3.19 spl6_38 | spl6_122 | spl6_7 | spl6_41), 2.93/3.19 inference(AVATAR_split_clause,[],[f702,f249,f87,f718,f246])). 2.93/3.19 tff(f2677,plain,( 2.93/3.19 ~spl6_1 | spl6_7), 2.93/3.19 inference(AVATAR_split_clause,[],[f175,f87,f68])). 2.93/3.19 tff(f2678,plain,( 2.93/3.19 ~spl6_1 | spl6_7), 2.93/3.19 inference(AVATAR_split_clause,[],[f128,f87,f68])). 2.93/3.19 tff(f2679,plain,( 2.93/3.19 spl6_78 | ~spl6_108), 2.93/3.19 inference(AVATAR_split_clause,[],[f2021,f665,f530])). 2.93/3.19 tff(f2680,plain,( 2.93/3.19 ~spl6_223 | ~spl6_12 | ~spl6_428), 2.93/3.19 inference(AVATAR_split_clause,[],[f2396,f2321,f106,f1116])). 2.93/3.19 tff(f2681,plain,( 2.93/3.19 ~spl6_223 | spl6_440 | ~spl6_12 | ~spl6_424), 2.93/3.19 inference(AVATAR_split_clause,[],[f2368,f2311,f106,f2386,f1116])). 2.93/3.19 tff(f2682,plain,( 2.93/3.19 ~spl6_223 | spl6_438 | ~spl6_12 | ~spl6_424), 2.93/3.19 inference(AVATAR_split_clause,[],[f2367,f2311,f106,f2382,f1116])). 2.93/3.19 tff(f2683,plain,( 2.93/3.19 ~spl6_223 | spl6_229), 2.93/3.19 inference(AVATAR_split_clause,[],[f1892,f1155,f1116])). 2.93/3.19 tff(f2685,plain,( 2.93/3.19 spl6_491 <=> ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK1)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_491])])). 2.93/3.19 tff(f2686,plain,( 2.93/3.19 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK1))) | ~spl6_491), 2.93/3.19 inference(AVATAR_component_clause,[],[f2685])). 2.93/3.19 tff(f2687,plain,( 2.93/3.19 spl6_42 | ~spl6_491 | spl6_197), 2.93/3.19 inference(AVATAR_split_clause,[],[f1102,f1017,f2685,f253])). 2.93/3.19 tff(f2689,plain,( 2.93/3.19 spl6_492 <=> ! [X3 : $int,X2 : $int] : (~ub(X2,X3,sK1) | model_ub(X2,X3,sK3(sK0,sK1,sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_492])])). 2.93/3.19 tff(f2691,plain,( 2.93/3.19 spl6_42 | spl6_492 | spl6_197), 2.93/3.19 inference(AVATAR_split_clause,[],[f1361,f1017,f2689,f253])). 2.93/3.19 tff(f2693,plain,( 2.93/3.19 spl6_495 <=> ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK1))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_495])])). 2.93/3.19 tff(f2694,plain,( 2.93/3.19 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK1)))) | ~spl6_495), 2.93/3.19 inference(AVATAR_component_clause,[],[f2693])). 2.93/3.19 tff(f2695,plain,( 2.93/3.19 spl6_42 | ~spl6_495 | spl6_217), 2.93/3.19 inference(AVATAR_split_clause,[],[f1373,f1104,f2693,f253])). 2.93/3.19 tff(f2697,plain,( 2.93/3.19 spl6_496 <=> max(sK3(sK0,sK1,sK2),$sum(c,summation(sK1))) = sK3(sK0,sK1,sK2)), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_496])])). 2.93/3.19 tff(f2699,plain,( 2.93/3.19 spl6_42 | spl6_496 | ~spl6_218), 2.93/3.19 inference(AVATAR_split_clause,[],[f1432,f1108,f2697,f253])). 2.93/3.19 tff(f2701,plain,( 2.93/3.19 spl6_498 <=> max($sum(c,summation(sK1)),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2)), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_498])])). 2.93/3.19 tff(f2703,plain,( 2.93/3.19 spl6_42 | spl6_498 | ~spl6_220), 2.93/3.19 inference(AVATAR_split_clause,[],[f1465,f1112,f2701,f253])). 2.93/3.19 tff(f2705,plain,( 2.93/3.19 spl6_500 <=> ! [X1 : $int] : (ub(X1,$sum(c,summation(sK1)),sK3(sK0,sK1,sK2)) | $less(sK3(sK0,sK1,sK2),X1))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_500])])). 2.93/3.19 tff(f2707,plain,( 2.93/3.19 spl6_42 | spl6_500 | spl6_197), 2.93/3.19 inference(AVATAR_split_clause,[],[f1561,f1017,f2705,f253])). 2.93/3.19 tff(f2709,plain,( 2.93/3.19 spl6_502 <=> ! [X1 : $int] : (ub($sum(c,summation(sK1)),X1,sK3(sK0,sK1,sK2)) | $less(sK3(sK0,sK1,sK2),X1))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_502])])). 2.93/3.19 tff(f2711,plain,( 2.93/3.19 spl6_42 | spl6_502 | spl6_197), 2.93/3.19 inference(AVATAR_split_clause,[],[f1571,f1017,f2709,f253])). 2.93/3.19 tff(f2713,plain,( 2.93/3.19 spl6_504 <=> $sum(c,summation(sK1)) = sK3(sK0,sK1,sK2)), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_504])])). 2.93/3.19 tff(f2715,plain,( 2.93/3.19 spl6_42 | spl6_504 | ~spl6_280), 2.93/3.19 inference(AVATAR_split_clause,[],[f2228,f1442,f2713,f253])). 2.93/3.19 tff(f2716,plain,( 2.93/3.19 ~spl6_359 | spl6_271 | ~spl6_280), 2.93/3.19 inference(AVATAR_split_clause,[],[f2470,f1442,f1375,f1882])). 2.93/3.19 tff(f2718,plain,( 2.93/3.19 spl6_373 <=> ~$less($sum(c,summation(sK0)),sK3(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_373])])). 2.93/3.19 tff(f2720,plain,( 2.93/3.19 ~spl6_373 | ~spl6_200 | ~spl6_428), 2.93/3.19 inference(AVATAR_split_clause,[],[f2395,f2321,f1024,f2718])). 2.93/3.19 tff(f2721,plain,( 2.93/3.19 ~spl6_373 | ~spl6_280 | ~spl6_424), 2.93/3.19 inference(AVATAR_split_clause,[],[f2378,f2311,f1442,f2718])). 2.93/3.19 tff(f2722,plain,( 2.93/3.19 ~spl6_373 | ~spl6_200 | ~spl6_424), 2.93/3.19 inference(AVATAR_split_clause,[],[f2371,f2311,f1024,f2718])). 2.93/3.19 tff(f2723,plain,( 2.93/3.19 ~spl6_19 | spl6_67), 2.93/3.19 inference(AVATAR_split_clause,[],[f1195,f442,f157])). 2.93/3.19 tff(f2724,plain,( 2.93/3.19 ~spl6_19 | spl6_67), 2.93/3.19 inference(AVATAR_split_clause,[],[f639,f442,f157])). 2.93/3.19 tff(f2725,plain,( 2.93/3.19 ~spl6_49 | ~spl6_20), 2.93/3.19 inference(AVATAR_split_clause,[],[f783,f161,f291])). 2.93/3.19 tff(f2726,plain,( 2.93/3.19 ~spl6_47 | ~spl6_20), 2.93/3.19 inference(AVATAR_split_clause,[],[f782,f161,f287])). 2.93/3.19 tff(f2727,plain,( 2.93/3.19 ~spl6_47 | ~spl6_20), 2.93/3.19 inference(AVATAR_split_clause,[],[f388,f161,f287])). 2.93/3.19 tff(f2728,plain,( 2.93/3.19 ~spl6_49 | ~spl6_20), 2.93/3.19 inference(AVATAR_split_clause,[],[f389,f161,f291])). 2.93/3.19 tff(f2729,plain,( 2.93/3.19 ~spl6_47 | ~spl6_20), 2.93/3.19 inference(AVATAR_split_clause,[],[f284,f161,f287])). 2.93/3.19 tff(f2730,plain,( 2.93/3.19 ~spl6_49 | ~spl6_20), 2.93/3.19 inference(AVATAR_split_clause,[],[f285,f161,f291])). 2.93/3.19 tff(f2731,plain,( 2.93/3.19 spl6_6 | spl6_19 | ~spl6_20), 2.93/3.19 inference(AVATAR_split_clause,[],[f1257,f161,f157,f116])). 2.93/3.19 tff(f2732,plain,( 2.93/3.19 spl6_6 | ~spl6_0), 2.93/3.19 inference(AVATAR_split_clause,[],[f989,f75,f116])). 2.93/3.19 tff(f2733,plain,( 2.93/3.19 spl6_6 | ~spl6_0), 2.93/3.19 inference(AVATAR_split_clause,[],[f353,f75,f116])). 2.93/3.19 tff(f2734,plain,( 2.93/3.19 spl6_6 | ~spl6_0), 2.93/3.19 inference(AVATAR_split_clause,[],[f267,f75,f116])). 2.93/3.19 tff(f2735,plain,( 2.93/3.19 spl6_6 | ~spl6_0), 2.93/3.19 inference(AVATAR_split_clause,[],[f143,f75,f116])). 2.93/3.19 tff(f2736,plain,( 2.93/3.19 spl6_6 | ~spl6_0), 2.93/3.19 inference(AVATAR_split_clause,[],[f114,f75,f116])). 2.93/3.19 tff(f2738,plain,( 2.93/3.19 spl6_417 <=> ~$less($sum(c,summation(sK0)),$sum(c,summation(max(sK0,sK1))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_417])])). 2.93/3.19 tff(f2740,plain,( 2.93/3.19 ~spl6_417 | ~spl6_424), 2.93/3.19 inference(AVATAR_split_clause,[],[f2372,f2311,f2738])). 2.93/3.19 tff(f2747,plain,( 2.93/3.19 $less(summation(sK0),summation(sK1)) | ~spl6_38), 2.93/3.19 inference(resolution,[],[f247,f49])). 2.93/3.19 tff(f2748,plain,( 2.93/3.19 spl6_56 | ~spl6_38), 2.93/3.19 inference(AVATAR_split_clause,[],[f2747,f246,f338])). 2.93/3.19 tff(f2751,plain,( 2.93/3.19 ( ! [X1:$int] : (~model_ub(sK0,sK1,X1) | ~$less(X1,sK2)) ) | ~spl6_0), 2.93/3.19 inference(resolution,[],[f76,f58])). 2.93/3.19 tff(f2752,plain,( 2.93/3.19 model_ub(sK0,sK1,sK2) | ~spl6_0), 2.93/3.19 inference(resolution,[],[f76,f59])). 2.93/3.19 tff(f2753,plain,( 2.93/3.19 spl6_6 | ~spl6_0), 2.93/3.19 inference(AVATAR_split_clause,[],[f2752,f75,f116])). 2.93/3.19 tff(f2754,plain,( 2.93/3.19 ~$less(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) | ~spl6_6), 2.93/3.19 inference(resolution,[],[f117,f65])). 2.93/3.19 tff(f2755,plain,( 2.93/3.19 ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_6), 2.93/3.19 inference(resolution,[],[f117,f66])). 2.93/3.19 tff(f2759,plain,( 2.93/3.19 ~spl6_19 | ~spl6_6), 2.93/3.19 inference(AVATAR_split_clause,[],[f2754,f116,f157])). 2.93/3.19 tff(f2760,plain,( 2.93/3.19 spl6_20 | ~spl6_6), 2.93/3.19 inference(AVATAR_split_clause,[],[f2755,f116,f161])). 2.93/3.19 tff(f2763,plain,( 2.93/3.19 ( ! [X0:$int] : (~model_ub(sK0,sK1,X0) | minsol_model_ub(sK0,sK1,X0) | ~$less(sK4(sK0,sK1,X0),sK2)) ) | ~spl6_0), 2.93/3.19 inference(resolution,[],[f2751,f60])). 2.93/3.19 tff(f2764,plain,( 2.93/3.19 ( ! [X2:$int,X1:$int] : (~ub(sK0,sK1,X2) | ~$less(X1,sK2) | $less(X1,$sum(c,summation(X2)))) ) | ~spl6_0), 2.93/3.19 inference(resolution,[],[f2751,f64])). 2.93/3.19 tff(f2768,plain,( 2.93/3.19 $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK2)))) | (~spl6_5 | ~spl6_20)), 2.93/3.19 inference(resolution,[],[f162,f1075])). 2.93/3.19 tff(f2769,plain,( 2.93/3.19 ( ! [X0:$int] : (model_ub(sK0,sK1,X0) | $less(X0,$sum(c,summation(sK5(sK0,sK1,sK2))))) ) | ~spl6_20), 2.93/3.19 inference(resolution,[],[f162,f64])). 2.93/3.19 tff(f2770,plain,( 2.93/3.19 ~$less(sK5(sK0,sK1,sK2),sK1) | ~spl6_20), 2.93/3.19 inference(resolution,[],[f162,f51])). 2.93/3.19 tff(f2771,plain,( 2.93/3.19 ~$less(sK5(sK0,sK1,sK2),sK0) | ~spl6_20), 2.93/3.19 inference(resolution,[],[f162,f52])). 2.93/3.19 tff(f2772,plain,( 2.93/3.19 spl6_258 | spl6_5 | ~spl6_20), 2.93/3.19 inference(AVATAR_split_clause,[],[f2768,f161,f991,f1310])). 2.93/3.19 tff(f2773,plain,( 2.93/3.19 ~spl6_47 | ~spl6_20), 2.93/3.19 inference(AVATAR_split_clause,[],[f2770,f161,f287])). 2.93/3.19 tff(f2774,plain,( 2.93/3.19 ~spl6_49 | ~spl6_20), 2.93/3.19 inference(AVATAR_split_clause,[],[f2771,f161,f291])). 2.93/3.19 tff(f2787,plain,( 2.93/3.19 $less(summation(summation(sK0)),summation(summation(sK1))) | ~spl6_56), 2.93/3.19 inference(resolution,[],[f339,f49])). 2.93/3.19 tff(f2789,plain,( 2.93/3.19 spl6_506 <=> $less(summation(summation(sK0)),summation(summation(sK1)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_506])])). 2.93/3.19 tff(f2790,plain,( 2.93/3.19 $less(summation(summation(sK0)),summation(summation(sK1))) | ~spl6_506), 2.93/3.19 inference(AVATAR_component_clause,[],[f2789])). 2.93/3.19 tff(f2791,plain,( 2.93/3.19 spl6_506 | ~spl6_56), 2.93/3.19 inference(AVATAR_split_clause,[],[f2787,f338,f2789])). 2.93/3.19 tff(f2795,plain,( 2.93/3.19 ~$less(summation(sK2),summation($sum(c,summation(sK5(sK0,sK1,sK2))))) | ~spl6_19), 2.93/3.19 inference(resolution,[],[f158,f50])). 2.93/3.19 tff(f2796,plain,( 2.93/3.19 max(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) = sK2 | ~spl6_19), 2.93/3.19 inference(resolution,[],[f158,f48])). 2.93/3.19 tff(f2797,plain,( 2.93/3.19 max($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) = sK2 | ~spl6_19), 2.93/3.19 inference(resolution,[],[f158,f47])). 2.93/3.19 tff(f2798,plain,( 2.93/3.19 ~spl6_67 | spl6_19), 2.93/3.19 inference(AVATAR_split_clause,[],[f2795,f157,f442])). 2.93/3.19 tff(f2799,plain,( 2.93/3.19 spl6_68 | spl6_19), 2.93/3.19 inference(AVATAR_split_clause,[],[f2796,f157,f446])). 2.93/3.19 tff(f2800,plain,( 2.93/3.19 spl6_70 | spl6_19), 2.93/3.19 inference(AVATAR_split_clause,[],[f2797,f157,f450])). 2.93/3.19 tff(f2801,plain,( 2.93/3.19 model_max(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~$less(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | (~spl6_12 | ~spl6_198)), 2.93/3.19 inference(resolution,[],[f1022,f1082])). 2.93/3.19 tff(f2802,plain,( 2.93/3.19 $less(sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~$less(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | (~spl6_12 | ~spl6_198)), 2.93/3.19 inference(resolution,[],[f1022,f1083])). 2.93/3.19 tff(f2803,plain,( 2.93/3.19 model_max(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~$less(sK2,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | (~spl6_10 | ~spl6_198)), 2.93/3.19 inference(resolution,[],[f1022,f504])). 2.93/3.19 tff(f2804,plain,( 2.93/3.19 $less(sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~$less(sK2,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | (~spl6_10 | ~spl6_198)), 2.93/3.19 inference(resolution,[],[f1022,f505])). 2.93/3.19 tff(f2805,plain,( 2.93/3.19 ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(max(sK0,sK1)))) | ~spl6_198), 2.93/3.19 inference(resolution,[],[f1022,f63])). 2.93/3.19 tff(f2806,plain,( 2.93/3.19 ( ! [X0:$int] : (~minsol_model_max(sK0,sK1,X0) | ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),X0)) ) | ~spl6_198), 2.93/3.19 inference(resolution,[],[f1022,f55])). 2.93/3.19 tff(f2807,plain,( 2.93/3.19 minsol_model_max(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | model_max(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~spl6_198), 2.93/3.19 inference(resolution,[],[f1022,f56])). 2.93/3.19 tff(f2808,plain,( 2.93/3.19 minsol_model_max(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | $less(sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_198), 2.93/3.19 inference(resolution,[],[f1022,f57])). 2.93/3.19 tff(f2810,plain,( 2.93/3.19 spl6_509 <=> ~$less(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK3(sK0,sK1,sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_509])])). 2.93/3.19 tff(f2811,plain,( 2.93/3.19 ~$less(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_509), 2.93/3.19 inference(AVATAR_component_clause,[],[f2810])). 2.93/3.19 tff(f2813,plain,( 2.93/3.19 spl6_510 <=> model_max(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_510])])). 2.93/3.19 tff(f2815,plain,( 2.93/3.19 ~spl6_509 | spl6_510 | ~spl6_12 | ~spl6_198), 2.93/3.19 inference(AVATAR_split_clause,[],[f2801,f1021,f106,f2813,f2810])). 2.93/3.19 tff(f2817,plain,( 2.93/3.19 spl6_512 <=> $less(sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK3(sK0,sK1,sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_512])])). 2.93/3.19 tff(f2819,plain,( 2.93/3.19 ~spl6_509 | spl6_512 | ~spl6_12 | ~spl6_198), 2.93/3.19 inference(AVATAR_split_clause,[],[f2802,f1021,f106,f2817,f2810])). 2.93/3.19 tff(f2821,plain,( 2.93/3.19 spl6_515 <=> ~$less(sK2,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_515])])). 2.93/3.19 tff(f2822,plain,( 2.93/3.19 ~$less(sK2,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_515), 2.93/3.19 inference(AVATAR_component_clause,[],[f2821])). 2.93/3.19 tff(f2823,plain,( 2.93/3.19 ~spl6_515 | spl6_510 | ~spl6_10 | ~spl6_198), 2.93/3.19 inference(AVATAR_split_clause,[],[f2803,f1021,f97,f2813,f2821])). 2.93/3.19 tff(f2824,plain,( 2.93/3.19 ~spl6_515 | spl6_512 | ~spl6_10 | ~spl6_198), 2.93/3.19 inference(AVATAR_split_clause,[],[f2804,f1021,f97,f2817,f2821])). 2.93/3.19 tff(f2826,plain,( 2.93/3.19 spl6_517 <=> ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(max(sK0,sK1))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_517])])). 2.93/3.19 tff(f2827,plain,( 2.93/3.19 ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(max(sK0,sK1)))) | ~spl6_517), 2.93/3.19 inference(AVATAR_component_clause,[],[f2826])). 2.93/3.19 tff(f2828,plain,( 2.93/3.19 ~spl6_517 | ~spl6_198), 2.93/3.19 inference(AVATAR_split_clause,[],[f2805,f1021,f2826])). 2.93/3.19 tff(f2830,plain,( 2.93/3.19 spl6_518 <=> minsol_model_max(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_518])])). 2.93/3.19 tff(f2831,plain,( 2.93/3.19 minsol_model_max(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_518), 2.93/3.19 inference(AVATAR_component_clause,[],[f2830])). 2.93/3.19 tff(f2832,plain,( 2.93/3.19 spl6_510 | spl6_518 | ~spl6_198), 2.93/3.19 inference(AVATAR_split_clause,[],[f2807,f1021,f2830,f2813])). 2.93/3.19 tff(f2833,plain,( 2.93/3.19 spl6_512 | spl6_518 | ~spl6_198), 2.93/3.19 inference(AVATAR_split_clause,[],[f2808,f1021,f2830,f2817])). 2.93/3.19 tff(f2838,plain,( 2.93/3.19 $less(summation(max(sK0,sK1)),summation(sK1)) | ~spl6_118), 2.93/3.19 inference(resolution,[],[f712,f49])). 2.93/3.19 tff(f2840,plain,( 2.93/3.19 $less(sK1,sK1) | $less(sK1,sK0) | ~spl6_118), 2.93/3.19 inference(superposition,[],[f712,f47])). 2.93/3.19 tff(f2843,plain,( 2.93/3.19 spl6_520 <=> $less(summation(max(sK0,sK1)),summation(sK1))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_520])])). 2.93/3.19 tff(f2845,plain,( 2.93/3.19 spl6_520 | ~spl6_118), 2.93/3.19 inference(AVATAR_split_clause,[],[f2838,f711,f2843])). 2.93/3.19 tff(f2846,plain,( 2.93/3.19 spl6_42 | spl6_488 | ~spl6_118), 2.93/3.19 inference(AVATAR_split_clause,[],[f2840,f711,f2672,f253])). 2.93/3.19 tff(f2851,plain,( 2.93/3.19 $less(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))),summation(sK3(sK0,sK1,sK2))) | ~spl6_202), 2.93/3.19 inference(resolution,[],[f1029,f49])). 2.93/3.19 tff(f2853,plain,( 2.93/3.19 spl6_522 <=> $less(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))),summation(sK3(sK0,sK1,sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_522])])). 2.93/3.19 tff(f2854,plain,( 2.93/3.19 $less(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))),summation(sK3(sK0,sK1,sK2))) | ~spl6_522), 2.93/3.19 inference(AVATAR_component_clause,[],[f2853])). 2.93/3.19 tff(f2855,plain,( 2.93/3.19 spl6_522 | ~spl6_202), 2.93/3.19 inference(AVATAR_split_clause,[],[f2851,f1028,f2853])). 2.93/3.19 tff(f2857,plain,( 2.93/3.19 ( ! [X2:$int,X1:$int] : (~$less(X1,sK2) | $less(X1,$sum(c,summation(X2))) | $less(X2,sK0) | $less(X2,sK1)) ) | ~spl6_0), 2.93/3.19 inference(resolution,[],[f2764,f53])). 2.93/3.19 tff(f2859,plain,( 2.93/3.19 ( ! [X0:$int] : (ub(X0,sK1,sK5(sK0,sK1,sK2)) | $less(sK5(sK0,sK1,sK2),X0)) ) | ~spl6_47), 2.93/3.19 inference(resolution,[],[f288,f53])). 2.93/3.19 tff(f2862,plain,( 2.93/3.19 max(sK5(sK0,sK1,sK2),sK1) = sK5(sK0,sK1,sK2) | ~spl6_47), 2.93/3.19 inference(resolution,[],[f288,f48])). 2.93/3.19 tff(f2863,plain,( 2.93/3.19 max(sK1,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) | ~spl6_47), 2.93/3.19 inference(resolution,[],[f288,f47])). 2.93/3.19 tff(f2864,plain,( 2.93/3.19 spl6_52 | spl6_47), 2.93/3.19 inference(AVATAR_split_clause,[],[f2862,f287,f312])). 2.93/3.19 tff(f2865,plain,( 2.93/3.19 spl6_54 | spl6_47), 2.93/3.19 inference(AVATAR_split_clause,[],[f2863,f287,f316])). 2.93/3.19 tff(f2868,plain,( 2.93/3.19 ( ! [X2:$int,X1:$int] : (~ub(sK0,sK1,X2) | ~$less(sK4(sK0,sK1,X1),sK2) | minsol_model_ub(sK0,sK1,X1) | $less(X1,$sum(c,summation(X2)))) ) | ~spl6_0), 2.93/3.19 inference(resolution,[],[f2763,f64])). 2.93/3.19 tff(f2873,plain,( 2.93/3.19 ( ! [X1:$int] : (ub(sK0,X1,sK5(sK0,sK1,sK2)) | $less(sK5(sK0,sK1,sK2),X1)) ) | ~spl6_49), 2.93/3.19 inference(resolution,[],[f292,f53])). 2.93/3.19 tff(f2875,plain,( 2.93/3.19 max(sK5(sK0,sK1,sK2),sK0) = sK5(sK0,sK1,sK2) | ~spl6_49), 2.93/3.19 inference(resolution,[],[f292,f48])). 2.93/3.19 tff(f2876,plain,( 2.93/3.19 max(sK0,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) | ~spl6_49), 2.93/3.19 inference(resolution,[],[f292,f47])). 2.93/3.19 tff(f2877,plain,( 2.93/3.19 spl6_74 | spl6_49), 2.93/3.19 inference(AVATAR_split_clause,[],[f2875,f291,f471])). 2.93/3.19 tff(f2878,plain,( 2.93/3.19 spl6_76 | spl6_49), 2.93/3.19 inference(AVATAR_split_clause,[],[f2876,f291,f475])). 2.93/3.19 tff(f2888,plain,( 2.93/3.19 max(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) = sK3(sK0,sK1,sK2) | ~spl6_223), 2.93/3.19 inference(resolution,[],[f1117,f48])). 2.93/3.19 tff(f2889,plain,( 2.93/3.19 max($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_223), 2.93/3.19 inference(resolution,[],[f1117,f47])). 2.93/3.19 tff(f2890,plain,( 2.93/3.19 spl6_230 | spl6_223), 2.93/3.19 inference(AVATAR_split_clause,[],[f2888,f1116,f1159])). 2.93/3.19 tff(f2891,plain,( 2.93/3.19 spl6_232 | spl6_223), 2.93/3.19 inference(AVATAR_split_clause,[],[f2889,f1116,f1163])). 2.93/3.19 tff(f2895,plain,( 2.93/3.19 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK1)))) | ~spl6_491), 2.93/3.19 inference(resolution,[],[f2686,f50])). 2.93/3.19 tff(f2896,plain,( 2.93/3.19 max(sK3(sK0,sK1,sK2),$sum(c,summation(sK1))) = sK3(sK0,sK1,sK2) | ~spl6_491), 2.93/3.19 inference(resolution,[],[f2686,f48])). 2.93/3.19 tff(f2897,plain,( 2.93/3.19 max($sum(c,summation(sK1)),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_491), 2.93/3.19 inference(resolution,[],[f2686,f47])). 2.93/3.19 tff(f2898,plain,( 2.93/3.19 ~spl6_495 | spl6_491), 2.93/3.19 inference(AVATAR_split_clause,[],[f2895,f2685,f2693])). 2.93/3.19 tff(f2899,plain,( 2.93/3.19 spl6_496 | spl6_491), 2.93/3.19 inference(AVATAR_split_clause,[],[f2896,f2685,f2697])). 2.93/3.19 tff(f2900,plain,( 2.93/3.19 spl6_498 | spl6_491), 2.93/3.19 inference(AVATAR_split_clause,[],[f2897,f2685,f2701])). 2.93/3.19 tff(f2906,plain,( 2.93/3.19 ~$less(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | (~spl6_12 | ~spl6_518)), 2.93/3.19 inference(resolution,[],[f2831,f1013])). 2.93/3.19 tff(f2907,plain,( 2.93/3.19 ~$less(sK2,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | (~spl6_10 | ~spl6_518)), 2.93/3.19 inference(resolution,[],[f2831,f495])). 2.93/3.19 tff(f2909,plain,( 2.93/3.19 ( ! [X0:$int] : (~model_max(sK0,sK1,X0) | ~$less(X0,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) ) | ~spl6_518), 2.93/3.19 inference(resolution,[],[f2831,f55])). 2.93/3.19 tff(f2910,plain,( 2.93/3.19 ~spl6_509 | ~spl6_12 | ~spl6_518), 2.93/3.19 inference(AVATAR_split_clause,[],[f2906,f2830,f106,f2810])). 2.93/3.19 tff(f2911,plain,( 2.93/3.19 ~spl6_515 | ~spl6_10 | ~spl6_518), 2.93/3.19 inference(AVATAR_split_clause,[],[f2907,f2830,f97,f2821])). 2.93/3.19 tff(f2915,plain,( 2.93/3.19 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK5(sK0,sK1,sK2)))))) | ~spl6_67), 2.93/3.19 inference(resolution,[],[f443,f50])). 2.93/3.19 tff(f2916,plain,( 2.93/3.19 summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK5(sK0,sK1,sK2))))) | ~spl6_67), 2.93/3.19 inference(resolution,[],[f443,f48])). 2.93/3.19 tff(f2917,plain,( 2.93/3.19 summation(sK2) = max(summation($sum(c,summation(sK5(sK0,sK1,sK2)))),summation(sK2)) | ~spl6_67), 2.93/3.19 inference(resolution,[],[f443,f47])). 2.93/3.19 tff(f2918,plain,( 2.93/3.19 ~spl6_103 | spl6_67), 2.93/3.19 inference(AVATAR_split_clause,[],[f2915,f442,f647])). 2.93/3.19 tff(f2919,plain,( 2.93/3.19 spl6_104 | spl6_67), 2.93/3.19 inference(AVATAR_split_clause,[],[f2916,f442,f651])). 2.93/3.19 tff(f2920,plain,( 2.93/3.19 spl6_106 | spl6_67), 2.93/3.19 inference(AVATAR_split_clause,[],[f2917,f442,f655])). 2.93/3.19 tff(f2922,plain,( 2.93/3.19 $sum(c,summation(sK5(sK0,sK1,sK2))) = sK2 | $less($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) | ~spl6_68), 2.93/3.19 inference(superposition,[],[f447,f47])). 2.93/3.19 tff(f2925,plain,( 2.93/3.19 $sum(c,summation(sK5(sK0,sK1,sK2))) = sK2 | $less($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) | ~spl6_68), 2.93/3.19 inference(superposition,[],[f47,f447])). 2.93/3.19 tff(f2926,plain,( 2.93/3.19 spl6_110 | spl6_112 | ~spl6_68), 2.93/3.19 inference(AVATAR_split_clause,[],[f2922,f446,f676,f673])). 2.93/3.19 tff(f2927,plain,( 2.93/3.19 spl6_110 | spl6_112 | ~spl6_68), 2.93/3.19 inference(AVATAR_split_clause,[],[f2925,f446,f676,f673])). 2.93/3.19 tff(f2928,plain,( 2.93/3.19 $sum(c,summation(sK5(sK0,sK1,sK2))) = sK2 | $less($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) | ~spl6_70), 2.93/3.19 inference(superposition,[],[f451,f48])). 2.93/3.19 tff(f2931,plain,( 2.93/3.19 $sum(c,summation(sK5(sK0,sK1,sK2))) = sK2 | $less($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) | ~spl6_70), 2.93/3.19 inference(superposition,[],[f48,f451])). 2.93/3.19 tff(f2932,plain,( 2.93/3.19 spl6_110 | spl6_112 | ~spl6_70), 2.93/3.19 inference(AVATAR_split_clause,[],[f2928,f450,f676,f673])). 2.93/3.19 tff(f2933,plain,( 2.93/3.19 spl6_110 | spl6_112 | ~spl6_70), 2.93/3.19 inference(AVATAR_split_clause,[],[f2931,f450,f676,f673])). 2.93/3.19 tff(f2950,plain,( 2.93/3.19 $less(summation(summation(summation(sK0))),summation(summation(summation(sK1)))) | ~spl6_506), 2.93/3.19 inference(resolution,[],[f2790,f49])). 2.93/3.19 tff(f2952,plain,( 2.93/3.19 spl6_524 <=> $less(summation(summation(summation(sK0))),summation(summation(summation(sK1))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_524])])). 2.93/3.19 tff(f2953,plain,( 2.93/3.19 $less(summation(summation(summation(sK0))),summation(summation(summation(sK1)))) | ~spl6_524), 2.93/3.19 inference(AVATAR_component_clause,[],[f2952])). 2.93/3.19 tff(f2954,plain,( 2.93/3.19 spl6_524 | ~spl6_506), 2.93/3.19 inference(AVATAR_split_clause,[],[f2950,f2789,f2952])). 2.93/3.19 tff(f2955,plain,( 2.93/3.19 $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK2)))) | (~spl6_5 | ~spl6_20)), 2.93/3.19 inference(resolution,[],[f2769,f992])). 2.93/3.19 tff(f2963,plain,( 2.93/3.19 $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK2)))) | ~minsol_model_ub(sK0,sK1,sK2) | (~spl6_14 | ~spl6_20)), 2.93/3.19 inference(resolution,[],[f2769,f994])). 2.93/3.19 tff(f2966,plain,( 2.93/3.19 spl6_258 | spl6_5 | ~spl6_20), 2.93/3.19 inference(AVATAR_split_clause,[],[f2955,f161,f991,f1310])). 2.93/3.19 tff(f2967,plain,( 2.93/3.19 ~spl6_1 | spl6_260 | ~spl6_14 | ~spl6_20), 2.93/3.19 inference(AVATAR_split_clause,[],[f2963,f161,f110,f1314,f68])). 2.93/3.19 tff(f2985,plain,( 2.93/3.19 ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(sK0))) | (~spl6_198 | ~spl6_428)), 2.93/3.19 inference(resolution,[],[f2806,f2322])). 2.93/3.19 tff(f2986,plain,( 2.93/3.19 ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | (~spl6_198 | ~spl6_518)), 2.93/3.19 inference(resolution,[],[f2806,f2831])). 2.93/3.19 tff(f2990,plain,( 2.93/3.19 spl6_527 <=> ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(sK0)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_527])])). 2.93/3.19 tff(f2992,plain,( 2.93/3.19 ~spl6_527 | ~spl6_198 | ~spl6_428), 2.93/3.19 inference(AVATAR_split_clause,[],[f2985,f2321,f1021,f2990])). 2.93/3.19 tff(f2994,plain,( 2.93/3.19 spl6_529 <=> ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK3(sK0,sK1,sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_529])])). 2.93/3.19 tff(f2995,plain,( 2.93/3.19 ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_529), 2.93/3.19 inference(AVATAR_component_clause,[],[f2994])). 2.93/3.19 tff(f2996,plain,( 2.93/3.19 ~spl6_529 | ~spl6_198 | ~spl6_518), 2.93/3.19 inference(AVATAR_split_clause,[],[f2986,f2830,f1021,f2994])). 2.93/3.19 tff(f3012,plain,( 2.93/3.19 ~$less(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_517), 2.93/3.19 inference(resolution,[],[f2827,f50])). 2.93/3.19 tff(f3013,plain,( 2.93/3.19 max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(max(sK0,sK1)))) = sK3(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_517), 2.93/3.19 inference(resolution,[],[f2827,f48])). 2.93/3.19 tff(f3014,plain,( 2.93/3.19 max($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) = sK3(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_517), 2.93/3.19 inference(resolution,[],[f2827,f47])). 2.93/3.19 tff(f3015,plain,( 2.93/3.19 ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_517), 2.93/3.19 inference(superposition,[],[f2827,f48])). 2.93/3.19 tff(f3016,plain,( 2.93/3.19 ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_517), 2.93/3.19 inference(superposition,[],[f2827,f47])). 2.93/3.19 tff(f3018,plain,( 2.93/3.19 spl6_531 <=> ~$less(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))),summation($sum(c,summation(max(sK0,sK1)))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_531])])). 2.93/3.19 tff(f3020,plain,( 2.93/3.19 ~spl6_531 | spl6_517), 2.93/3.19 inference(AVATAR_split_clause,[],[f3012,f2826,f3018])). 2.93/3.19 tff(f3022,plain,( 2.93/3.19 spl6_532 <=> max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(max(sK0,sK1)))) = sK3(sK0,sK1,sK3(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_532])])). 2.93/3.19 tff(f3024,plain,( 2.93/3.19 spl6_532 | spl6_517), 2.93/3.19 inference(AVATAR_split_clause,[],[f3013,f2826,f3022])). 2.93/3.19 tff(f3026,plain,( 2.93/3.19 spl6_534 <=> max($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) = sK3(sK0,sK1,sK3(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_534])])). 2.93/3.19 tff(f3028,plain,( 2.93/3.19 spl6_534 | spl6_517), 2.93/3.19 inference(AVATAR_split_clause,[],[f3014,f2826,f3026])). 2.93/3.19 tff(f3030,plain,( 2.93/3.19 spl6_537 <=> ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(sK1)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_537])])). 2.93/3.19 tff(f3031,plain,( 2.93/3.19 ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(sK1))) | ~spl6_537), 2.93/3.19 inference(AVATAR_component_clause,[],[f3030])). 2.93/3.19 tff(f3032,plain,( 2.93/3.19 spl6_42 | ~spl6_537 | spl6_517), 2.93/3.19 inference(AVATAR_split_clause,[],[f3016,f2826,f3030,f253])). 2.93/3.19 tff(f3038,plain,( 2.93/3.19 $less(summation(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2)))),summation(summation(sK3(sK0,sK1,sK2)))) | ~spl6_522), 2.93/3.19 inference(resolution,[],[f2854,f49])). 2.93/3.19 tff(f3040,plain,( 2.93/3.19 spl6_538 <=> $less(summation(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2)))),summation(summation(sK3(sK0,sK1,sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_538])])). 2.93/3.19 tff(f3042,plain,( 2.93/3.19 spl6_538 | ~spl6_522), 2.93/3.19 inference(AVATAR_split_clause,[],[f3038,f2853,f3040])). 2.93/3.19 tff(f3053,plain,( 2.93/3.19 ( ! [X15:$int] : ($less(sK3(sK0,sK1,sK2),$sum(c,summation(X15))) | $less(X15,sK0) | $less(X15,sK1)) ) | (~spl6_0 | ~spl6_14)), 2.93/3.19 inference(resolution,[],[f2857,f111])). 2.93/3.19 tff(f3093,plain,( 2.93/3.19 $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK1)))) | ~spl6_482), 2.93/3.19 inference(resolution,[],[f2654,f49])). 2.93/3.19 tff(f3094,plain,( 2.93/3.19 spl6_464 | ~spl6_482), 2.93/3.19 inference(AVATAR_split_clause,[],[f3093,f2653,f2607])). 2.93/3.19 tff(f3097,plain,( 2.93/3.19 ~$less(summation(sK2),summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~spl6_515), 2.93/3.19 inference(resolution,[],[f2822,f50])). 2.93/3.19 tff(f3098,plain,( 2.93/3.19 max(sK2,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) = sK2 | ~spl6_515), 2.93/3.19 inference(resolution,[],[f2822,f48])). 2.93/3.19 tff(f3099,plain,( 2.93/3.19 max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK2) = sK2 | ~spl6_515), 2.93/3.19 inference(resolution,[],[f2822,f47])). 2.93/3.19 tff(f3101,plain,( 2.93/3.19 spl6_541 <=> ~$less(summation(sK2),summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_541])])). 2.93/3.19 tff(f3103,plain,( 2.93/3.19 ~spl6_541 | spl6_515), 2.93/3.19 inference(AVATAR_split_clause,[],[f3097,f2821,f3101])). 2.93/3.19 tff(f3105,plain,( 2.93/3.19 spl6_542 <=> max(sK2,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) = sK2), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_542])])). 2.93/3.19 tff(f3107,plain,( 2.93/3.19 spl6_542 | spl6_515), 2.93/3.19 inference(AVATAR_split_clause,[],[f3098,f2821,f3105])). 2.93/3.19 tff(f3109,plain,( 2.93/3.19 spl6_544 <=> max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK2) = sK2), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_544])])). 2.93/3.19 tff(f3111,plain,( 2.93/3.19 spl6_544 | spl6_515), 2.93/3.19 inference(AVATAR_split_clause,[],[f3099,f2821,f3109])). 2.93/3.19 tff(f3128,plain,( 2.93/3.19 $less(summation($sum(c,summation(sK0))),summation(sK3(sK0,sK1,sK2))) | ~spl6_372), 2.93/3.19 inference(resolution,[],[f1939,f49])). 2.93/3.19 tff(f3129,plain,( 2.93/3.19 spl6_388 | ~spl6_372), 2.93/3.19 inference(AVATAR_split_clause,[],[f3128,f1938,f2009])). 2.93/3.19 tff(f3146,plain,( 2.93/3.19 $less(summation(sK4(sK0,sK1,sK2)),summation(sK3(sK0,sK1,sK2))) | ~spl6_420), 2.93/3.19 inference(resolution,[],[f2263,f49])). 2.93/3.19 tff(f3147,plain,( 2.93/3.19 spl6_422 | ~spl6_420), 2.93/3.19 inference(AVATAR_split_clause,[],[f3146,f2262,f2266])). 2.93/3.19 tff(f3152,plain,( 2.93/3.19 $less(summation($sum(c,summation(max(sK0,sK1)))),summation(sK3(sK0,sK1,sK2))) | ~spl6_278), 2.93/3.19 inference(resolution,[],[f1440,f49])). 2.93/3.19 tff(f3154,plain,( 2.93/3.19 $less($sum(c,summation(sK1)),sK3(sK0,sK1,sK2)) | $less(sK1,sK0) | ~spl6_278), 2.93/3.19 inference(superposition,[],[f1440,f47])). 2.93/3.19 tff(f3155,plain,( 2.93/3.19 spl6_370 | ~spl6_278), 2.93/3.19 inference(AVATAR_split_clause,[],[f3152,f1439,f1934])). 2.93/3.19 tff(f3157,plain,( 2.93/3.19 spl6_546 <=> $less($sum(c,summation(sK1)),sK3(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_546])])). 2.93/3.19 tff(f3158,plain,( 2.93/3.19 $less($sum(c,summation(sK1)),sK3(sK0,sK1,sK2)) | ~spl6_546), 2.93/3.19 inference(AVATAR_component_clause,[],[f3157])). 2.93/3.19 tff(f3159,plain,( 2.93/3.19 spl6_42 | spl6_546 | ~spl6_278), 2.93/3.19 inference(AVATAR_split_clause,[],[f3154,f1439,f3157,f253])). 2.93/3.19 tff(f3165,plain,( 2.93/3.19 $less(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK1)) | ~spl6_150), 2.93/3.19 inference(resolution,[],[f2533,f49])). 2.93/3.19 tff(f3167,plain,( 2.93/3.19 spl6_180 <=> $less(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK1))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_180])])). 2.93/3.19 tff(f3169,plain,( 2.93/3.19 spl6_180 | ~spl6_150), 2.93/3.19 inference(AVATAR_split_clause,[],[f3165,f2532,f3167])). 2.93/3.19 tff(f3173,plain,( 2.93/3.19 ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK1))))) | ~spl6_495), 2.93/3.19 inference(resolution,[],[f2694,f50])). 2.93/3.19 tff(f3174,plain,( 2.93/3.19 summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK1)))) | ~spl6_495), 2.93/3.19 inference(resolution,[],[f2694,f48])). 2.93/3.19 tff(f3175,plain,( 2.93/3.19 summation(sK3(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK1))),summation(sK3(sK0,sK1,sK2))) | ~spl6_495), 2.93/3.19 inference(resolution,[],[f2694,f47])). 2.93/3.19 tff(f3177,plain,( 2.93/3.19 spl6_549 <=> ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK1)))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_549])])). 2.93/3.19 tff(f3179,plain,( 2.93/3.19 ~spl6_549 | spl6_495), 2.93/3.19 inference(AVATAR_split_clause,[],[f3173,f2693,f3177])). 2.93/3.19 tff(f3181,plain,( 2.93/3.19 spl6_550 <=> summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK1))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_550])])). 2.93/3.19 tff(f3183,plain,( 2.93/3.19 spl6_550 | spl6_495), 2.93/3.19 inference(AVATAR_split_clause,[],[f3174,f2693,f3181])). 2.93/3.19 tff(f3185,plain,( 2.93/3.19 spl6_552 <=> summation(sK3(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK1))),summation(sK3(sK0,sK1,sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_552])])). 2.93/3.19 tff(f3187,plain,( 2.93/3.19 spl6_552 | spl6_495), 2.93/3.19 inference(AVATAR_split_clause,[],[f3175,f2693,f3185])). 2.93/3.19 tff(f3193,plain,( 2.93/3.19 $less(summation($sum(c,summation(sK1))),summation(sK3(sK0,sK1,sK2))) | ~spl6_546), 2.93/3.19 inference(resolution,[],[f3158,f49])). 2.93/3.19 tff(f3195,plain,( 2.93/3.19 spl6_554 <=> $less(summation($sum(c,summation(sK1))),summation(sK3(sK0,sK1,sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_554])])). 2.93/3.19 tff(f3197,plain,( 2.93/3.19 spl6_554 | ~spl6_546), 2.93/3.19 inference(AVATAR_split_clause,[],[f3193,f3157,f3195])). 2.93/3.19 tff(f3204,plain,( 2.93/3.19 $less(summation(summation(summation(summation(sK0)))),summation(summation(summation(summation(sK1))))) | ~spl6_524), 2.93/3.19 inference(resolution,[],[f2953,f49])). 2.93/3.19 tff(f3206,plain,( 2.93/3.19 spl6_556 <=> $less(summation(summation(summation(summation(sK0)))),summation(summation(summation(summation(sK1)))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_556])])). 2.93/3.19 tff(f3208,plain,( 2.93/3.19 spl6_556 | ~spl6_524), 2.93/3.19 inference(AVATAR_split_clause,[],[f3204,f2952,f3206])). 2.93/3.19 tff(f3212,plain,( 2.93/3.19 ~$less(summation(sK3(sK0,sK1,sK2)),summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~spl6_509), 2.93/3.19 inference(resolution,[],[f2811,f50])). 2.93/3.19 tff(f3213,plain,( 2.93/3.19 max(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) = sK3(sK0,sK1,sK2) | ~spl6_509), 2.93/3.19 inference(resolution,[],[f2811,f48])). 2.93/3.19 tff(f3214,plain,( 2.93/3.19 max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_509), 2.93/3.19 inference(resolution,[],[f2811,f47])). 2.93/3.19 tff(f3216,plain,( 2.93/3.19 spl6_559 <=> ~$less(summation(sK3(sK0,sK1,sK2)),summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_559])])). 2.93/3.19 tff(f3218,plain,( 2.93/3.19 ~spl6_559 | spl6_509), 2.93/3.19 inference(AVATAR_split_clause,[],[f3212,f2810,f3216])). 2.93/3.19 tff(f3220,plain,( 2.93/3.19 spl6_560 <=> max(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) = sK3(sK0,sK1,sK2)), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_560])])). 2.93/3.19 tff(f3222,plain,( 2.93/3.19 spl6_560 | spl6_509), 2.93/3.19 inference(AVATAR_split_clause,[],[f3213,f2810,f3220])). 2.93/3.19 tff(f3224,plain,( 2.93/3.19 spl6_562 <=> max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2)), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_562])])). 2.93/3.19 tff(f3226,plain,( 2.93/3.19 spl6_562 | spl6_509), 2.93/3.19 inference(AVATAR_split_clause,[],[f3214,f2810,f3224])). 2.93/3.19 tff(f3230,plain,( 2.93/3.19 ~$less(summation(summation(summation(sK5(sK0,sK1,sK2)))),summation(summation(summation(sK0)))) | ~spl6_239), 2.93/3.19 inference(resolution,[],[f1212,f50])). 2.93/3.19 tff(f3231,plain,( 2.93/3.19 summation(summation(sK5(sK0,sK1,sK2))) = max(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK0))) | ~spl6_239), 2.93/3.19 inference(resolution,[],[f1212,f48])). 2.93/3.19 tff(f3232,plain,( 2.93/3.19 summation(summation(sK5(sK0,sK1,sK2))) = max(summation(summation(sK0)),summation(summation(sK5(sK0,sK1,sK2)))) | ~spl6_239), 2.93/3.19 inference(resolution,[],[f1212,f47])). 2.93/3.19 tff(f3234,plain,( 2.93/3.19 spl6_565 <=> ~$less(summation(summation(summation(sK5(sK0,sK1,sK2)))),summation(summation(summation(sK0))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_565])])). 2.93/3.19 tff(f3236,plain,( 2.93/3.19 ~spl6_565 | spl6_239), 2.93/3.19 inference(AVATAR_split_clause,[],[f3230,f1211,f3234])). 2.93/3.19 tff(f3238,plain,( 2.93/3.19 spl6_566 <=> summation(summation(sK5(sK0,sK1,sK2))) = max(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK0)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_566])])). 2.93/3.19 tff(f3240,plain,( 2.93/3.19 spl6_566 | spl6_239), 2.93/3.19 inference(AVATAR_split_clause,[],[f3231,f1211,f3238])). 2.93/3.19 tff(f3242,plain,( 2.93/3.19 spl6_568 <=> summation(summation(sK5(sK0,sK1,sK2))) = max(summation(summation(sK0)),summation(summation(sK5(sK0,sK1,sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_568])])). 2.93/3.19 tff(f3244,plain,( 2.93/3.19 spl6_568 | spl6_239), 2.93/3.19 inference(AVATAR_split_clause,[],[f3232,f1211,f3242])). 2.93/3.19 tff(f3248,plain,( 2.93/3.19 ~$less(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))),summation($sum(c,summation(sK1)))) | ~spl6_537), 2.93/3.19 inference(resolution,[],[f3031,f50])). 2.93/3.19 tff(f3249,plain,( 2.93/3.19 max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(sK1))) = sK3(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_537), 2.93/3.19 inference(resolution,[],[f3031,f48])). 2.93/3.19 tff(f3250,plain,( 2.93/3.19 max($sum(c,summation(sK1)),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) = sK3(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_537), 2.93/3.19 inference(resolution,[],[f3031,f47])). 2.93/3.19 tff(f3252,plain,( 2.93/3.19 spl6_571 <=> ~$less(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))),summation($sum(c,summation(sK1))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_571])])). 2.93/3.19 tff(f3254,plain,( 2.93/3.19 ~spl6_571 | spl6_537), 2.93/3.19 inference(AVATAR_split_clause,[],[f3248,f3030,f3252])). 2.93/3.19 tff(f3256,plain,( 2.93/3.19 spl6_572 <=> max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(sK1))) = sK3(sK0,sK1,sK3(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_572])])). 2.93/3.19 tff(f3258,plain,( 2.93/3.19 spl6_572 | spl6_537), 2.93/3.19 inference(AVATAR_split_clause,[],[f3249,f3030,f3256])). 2.93/3.19 tff(f3260,plain,( 2.93/3.19 spl6_574 <=> max($sum(c,summation(sK1)),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) = sK3(sK0,sK1,sK3(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_574])])). 2.93/3.19 tff(f3262,plain,( 2.93/3.19 spl6_574 | spl6_537), 2.93/3.19 inference(AVATAR_split_clause,[],[f3250,f3030,f3260])). 2.93/3.19 tff(f3283,plain,( 2.93/3.19 ( ! [X5:$int] : ($less(sK5(sK0,sK1,sK2),sK0) | ~$less(sK4(sK0,sK1,X5),sK2) | minsol_model_ub(sK0,sK1,X5) | $less(X5,$sum(c,summation(sK5(sK0,sK1,sK2))))) ) | (~spl6_0 | ~spl6_47)), 2.93/3.19 inference(resolution,[],[f2859,f2868])). 2.93/3.19 tff(f3288,plain,( 2.93/3.19 ( ! [X5:$int] : ($less(X5,sK2) | $less(sK5(sK0,sK1,sK2),sK0) | ~$less(sK4(sK0,sK1,X5),sK2) | minsol_model_ub(sK0,sK1,X5)) ) | (~spl6_0 | ~spl6_47 | ~spl6_112)), 2.93/3.19 inference(forward_demodulation,[],[f3283,f677])). 2.93/3.19 tff(f3289,plain,( 2.93/3.19 spl6_48 | spl6_410 | ~spl6_0 | spl6_47 | ~spl6_112), 2.93/3.19 inference(AVATAR_split_clause,[],[f3288,f676,f287,f75,f2120,f2117])). 2.93/3.19 tff(f3294,plain,( 2.93/3.19 ~$less(summation(summation(summation(sK2))),summation(summation(summation($sum(c,summation(sK0)))))) | ~spl6_253), 2.93/3.19 inference(resolution,[],[f1290,f50])). 2.93/3.19 tff(f3295,plain,( 2.93/3.19 summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation($sum(c,summation(sK0))))) | ~spl6_253), 2.93/3.19 inference(resolution,[],[f1290,f48])). 2.93/3.19 tff(f3296,plain,( 2.93/3.19 summation(summation(sK2)) = max(summation(summation($sum(c,summation(sK0)))),summation(summation(sK2))) | ~spl6_253), 2.93/3.19 inference(resolution,[],[f1290,f47])). 2.93/3.19 tff(f3298,plain,( 2.93/3.19 spl6_577 <=> ~$less(summation(summation(summation(sK2))),summation(summation(summation($sum(c,summation(sK0))))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_577])])). 2.93/3.19 tff(f3300,plain,( 2.93/3.19 ~spl6_577 | spl6_253), 2.93/3.19 inference(AVATAR_split_clause,[],[f3294,f1289,f3298])). 2.93/3.19 tff(f3302,plain,( 2.93/3.19 spl6_578 <=> summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation($sum(c,summation(sK0)))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_578])])). 2.93/3.19 tff(f3304,plain,( 2.93/3.19 spl6_578 | spl6_253), 2.93/3.19 inference(AVATAR_split_clause,[],[f3295,f1289,f3302])). 2.93/3.19 tff(f3306,plain,( 2.93/3.19 spl6_580 <=> summation(summation(sK2)) = max(summation(summation($sum(c,summation(sK0)))),summation(summation(sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_580])])). 2.93/3.19 tff(f3308,plain,( 2.93/3.19 spl6_580 | spl6_253), 2.93/3.19 inference(AVATAR_split_clause,[],[f3296,f1289,f3306])). 2.93/3.19 tff(f3324,plain,( 2.93/3.19 $less(summation(summation($sum(c,summation(max(sK0,sK1))))),summation(summation(sK2))) | ~spl6_276), 2.93/3.19 inference(resolution,[],[f1410,f49])). 2.93/3.19 tff(f3328,plain,( 2.93/3.19 spl6_582 <=> $less(summation(summation($sum(c,summation(max(sK0,sK1))))),summation(summation(sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_582])])). 2.93/3.19 tff(f3330,plain,( 2.93/3.19 spl6_582 | ~spl6_276), 2.93/3.19 inference(AVATAR_split_clause,[],[f3324,f1409,f3328])). 2.93/3.19 tff(f3332,plain,( 2.93/3.19 ( ! [X0:$int] : ($less(sK5(sK0,sK1,sK2),sK1) | ~$less(sK4(sK0,sK1,X0),sK2) | minsol_model_ub(sK0,sK1,X0) | $less(X0,$sum(c,summation(sK5(sK0,sK1,sK2))))) ) | (~spl6_0 | ~spl6_49)), 2.93/3.19 inference(resolution,[],[f2873,f2868])). 2.93/3.19 tff(f3340,plain,( 2.93/3.19 ( ! [X0:$int] : ($less(X0,sK2) | $less(sK5(sK0,sK1,sK2),sK1) | ~$less(sK4(sK0,sK1,X0),sK2) | minsol_model_ub(sK0,sK1,X0)) ) | (~spl6_0 | ~spl6_49 | ~spl6_112)), 2.93/3.19 inference(forward_demodulation,[],[f3332,f677])). 2.93/3.19 tff(f3341,plain,( 2.93/3.19 spl6_46 | spl6_410 | ~spl6_0 | spl6_49 | ~spl6_112), 2.93/3.19 inference(AVATAR_split_clause,[],[f3340,f676,f291,f75,f2120,f2142])). 2.93/3.19 tff(f3346,plain,( 2.93/3.19 ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | (~spl6_198 | ~spl6_518)), 2.93/3.19 inference(resolution,[],[f2909,f1022])). 2.93/3.19 tff(f3350,plain,( 2.93/3.19 ~spl6_529 | ~spl6_198 | ~spl6_518), 2.93/3.19 inference(AVATAR_split_clause,[],[f3346,f2830,f1021,f2994])). 2.93/3.19 tff(f3354,plain,( 2.93/3.19 ~$less(summation(summation(summation(sK2))),summation(summation(summation(sK4(sK0,sK1,sK2))))) | ~spl6_283), 2.93/3.19 inference(resolution,[],[f1454,f50])). 2.93/3.19 tff(f3355,plain,( 2.93/3.19 summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK4(sK0,sK1,sK2)))) | ~spl6_283), 2.93/3.19 inference(resolution,[],[f1454,f48])). 2.93/3.19 tff(f3356,plain,( 2.93/3.19 summation(summation(sK2)) = max(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_283), 2.93/3.19 inference(resolution,[],[f1454,f47])). 2.93/3.19 tff(f3358,plain,( 2.93/3.19 spl6_585 <=> ~$less(summation(summation(summation(sK2))),summation(summation(summation(sK4(sK0,sK1,sK2)))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_585])])). 2.93/3.19 tff(f3360,plain,( 2.93/3.19 ~spl6_585 | spl6_283), 2.93/3.19 inference(AVATAR_split_clause,[],[f3354,f1453,f3358])). 2.93/3.19 tff(f3362,plain,( 2.93/3.19 spl6_586 <=> summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK4(sK0,sK1,sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_586])])). 2.93/3.19 tff(f3364,plain,( 2.93/3.19 spl6_586 | spl6_283), 2.93/3.19 inference(AVATAR_split_clause,[],[f3355,f1453,f3362])). 2.93/3.19 tff(f3366,plain,( 2.93/3.19 spl6_588 <=> summation(summation(sK2)) = max(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_588])])). 2.93/3.19 tff(f3368,plain,( 2.93/3.19 spl6_588 | spl6_283), 2.93/3.19 inference(AVATAR_split_clause,[],[f3356,f1453,f3366])). 2.93/3.19 tff(f3374,plain,( 2.93/3.19 ~$less(summation(summation(summation(sK2))),summation(summation(summation(sK3(sK0,sK1,sK2))))) | ~spl6_295), 2.93/3.19 inference(resolution,[],[f1524,f50])). 2.93/3.19 tff(f3375,plain,( 2.93/3.19 summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK3(sK0,sK1,sK2)))) | ~spl6_295), 2.93/3.19 inference(resolution,[],[f1524,f48])). 2.93/3.19 tff(f3376,plain,( 2.93/3.19 summation(summation(sK2)) = max(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_295), 2.93/3.19 inference(resolution,[],[f1524,f47])). 2.93/3.19 tff(f3378,plain,( 2.93/3.19 spl6_591 <=> ~$less(summation(summation(summation(sK2))),summation(summation(summation(sK3(sK0,sK1,sK2)))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_591])])). 2.93/3.19 tff(f3380,plain,( 2.93/3.19 ~spl6_591 | spl6_295), 2.93/3.19 inference(AVATAR_split_clause,[],[f3374,f1523,f3378])). 2.93/3.19 tff(f3382,plain,( 2.93/3.19 spl6_592 <=> summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK3(sK0,sK1,sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_592])])). 2.93/3.19 tff(f3384,plain,( 2.93/3.19 spl6_592 | spl6_295), 2.93/3.19 inference(AVATAR_split_clause,[],[f3375,f1523,f3382])). 2.93/3.19 tff(f3386,plain,( 2.93/3.19 spl6_594 <=> summation(summation(sK2)) = max(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK2)))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_594])])). 2.93/3.19 tff(f3388,plain,( 2.93/3.19 spl6_594 | spl6_295), 2.93/3.19 inference(AVATAR_split_clause,[],[f3376,f1523,f3386])). 2.93/3.19 tff(f3418,plain,( 2.93/3.19 ( ! [X0:$int] : (ub(X0,summation($sum(c,summation(sK0))),summation(sK2)) | $less(summation(sK2),X0) | $less(sK0,sK1)) ) | ~spl6_33), 2.93/3.19 inference(superposition,[],[f572,f48])). 2.93/3.19 tff(f3419,plain,( 2.93/3.19 ( ! [X1:$int] : (ub(X1,summation($sum(c,summation(sK1))),summation(sK2)) | $less(summation(sK2),X1) | $less(sK1,sK0)) ) | ~spl6_33), 2.93/3.19 inference(superposition,[],[f572,f47])). 2.93/3.19 tff(f3421,plain,( 2.93/3.19 spl6_596 <=> ! [X1 : $int] : (ub(X1,summation($sum(c,summation(sK1))),summation(sK2)) | $less(summation(sK2),X1))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_596])])). 2.93/3.19 tff(f3423,plain,( 2.93/3.19 spl6_42 | spl6_596 | spl6_33), 2.93/3.19 inference(AVATAR_split_clause,[],[f3419,f234,f3421,f253])). 2.93/3.19 tff(f3429,plain,( 2.93/3.19 $less(sK2,sK2) | model_max(sK5(sK0,sK1,sK2),sK1,sK3(sK5(sK0,sK1,sK2),sK1,sK2)) | ~model_max(sK5(sK0,sK1,sK2),sK1,sK3(sK0,sK1,sK2)) | (~spl6_14 | ~spl6_52 | ~spl6_112)), 2.93/3.19 inference(resolution,[],[f1794,f1092])). 2.93/3.19 tff(f3430,plain,( 2.93/3.19 $less(sK2,sK2) | $less(sK3(sK5(sK0,sK1,sK2),sK1,sK2),sK2) | ~model_max(sK5(sK0,sK1,sK2),sK1,sK3(sK0,sK1,sK2)) | (~spl6_14 | ~spl6_52 | ~spl6_112)), 2.93/3.19 inference(resolution,[],[f1794,f1093])). 2.93/3.19 tff(f3434,plain,( 2.93/3.19 spl6_599 <=> ~model_max(sK5(sK0,sK1,sK2),sK1,sK3(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_599])])). 2.93/3.19 tff(f3437,plain,( 2.93/3.19 spl6_600 <=> model_max(sK5(sK0,sK1,sK2),sK1,sK3(sK5(sK0,sK1,sK2),sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_600])])). 2.93/3.19 tff(f3440,plain,( 2.93/3.19 spl6_22 <=> $less(sK2,sK2)), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_22])])). 2.93/3.19 tff(f3442,plain,( 2.93/3.19 ~spl6_599 | spl6_600 | spl6_22 | ~spl6_14 | ~spl6_52 | ~spl6_112), 2.93/3.19 inference(AVATAR_split_clause,[],[f3429,f676,f312,f110,f3440,f3437,f3434])). 2.93/3.19 tff(f3444,plain,( 2.93/3.19 spl6_602 <=> $less(sK3(sK5(sK0,sK1,sK2),sK1,sK2),sK2)), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_602])])). 2.93/3.19 tff(f3446,plain,( 2.93/3.19 ~spl6_599 | spl6_602 | spl6_22 | ~spl6_14 | ~spl6_52 | ~spl6_112), 2.93/3.19 inference(AVATAR_split_clause,[],[f3430,f676,f312,f110,f3440,f3444,f3434])). 2.93/3.19 tff(f3451,plain,( 2.93/3.19 ( ! [X0:$int] : (ub(summation($sum(c,summation(sK0))),X0,summation(sK2)) | $less(summation(sK2),X0) | $less(sK0,sK1)) ) | ~spl6_33), 2.93/3.19 inference(superposition,[],[f573,f48])). 2.93/3.19 tff(f3452,plain,( 2.93/3.19 ( ! [X1:$int] : (ub(summation($sum(c,summation(sK1))),X1,summation(sK2)) | $less(summation(sK2),X1) | $less(sK1,sK0)) ) | ~spl6_33), 2.93/3.19 inference(superposition,[],[f573,f47])). 2.93/3.19 tff(f3454,plain,( 2.93/3.19 spl6_604 <=> ! [X1 : $int] : (ub(summation($sum(c,summation(sK1))),X1,summation(sK2)) | $less(summation(sK2),X1))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_604])])). 2.93/3.19 tff(f3456,plain,( 2.93/3.19 spl6_42 | spl6_604 | spl6_33), 2.93/3.19 inference(AVATAR_split_clause,[],[f3452,f234,f3454,f253])). 2.93/3.19 tff(f3464,plain,( 2.93/3.19 ( ! [X0:$int] : (model_max(sK2,$sum(c,summation(sK0)),X0) | $less(X0,$sum(c,summation(sK2))) | $less(sK0,sK1)) ) | ~spl6_34), 2.93/3.19 inference(superposition,[],[f596,f48])). 2.93/3.19 tff(f3465,plain,( 2.93/3.19 ( ! [X1:$int] : (model_max(sK2,$sum(c,summation(sK1)),X1) | $less(X1,$sum(c,summation(sK2))) | $less(sK1,sK0)) ) | ~spl6_34), 2.93/3.19 inference(superposition,[],[f596,f47])). 2.93/3.19 tff(f3468,plain,( 2.93/3.19 spl6_606 <=> ! [X1 : $int] : (model_max(sK2,$sum(c,summation(sK1)),X1) | $less(X1,$sum(c,summation(sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_606])])). 2.93/3.19 tff(f3470,plain,( 2.93/3.19 spl6_42 | spl6_606 | ~spl6_34), 2.93/3.19 inference(AVATAR_split_clause,[],[f3465,f238,f3468,f253])). 2.93/3.19 tff(f3480,plain,( 2.93/3.19 ( ! [X0:$int] : (~model_max(sK2,$sum(c,summation(sK0)),X0) | ~$less(X0,$sum(c,summation(sK2))) | $less(sK0,sK1)) ) | ~spl6_34), 2.93/3.19 inference(superposition,[],[f597,f48])). 2.93/3.19 tff(f3481,plain,( 2.93/3.19 ( ! [X1:$int] : (~model_max(sK2,$sum(c,summation(sK1)),X1) | ~$less(X1,$sum(c,summation(sK2))) | $less(sK1,sK0)) ) | ~spl6_34), 2.93/3.19 inference(superposition,[],[f597,f47])). 2.93/3.19 tff(f3484,plain,( 2.93/3.19 spl6_608 <=> ! [X1 : $int] : (~model_max(sK2,$sum(c,summation(sK1)),X1) | ~$less(X1,$sum(c,summation(sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_608])])). 2.93/3.19 tff(f3486,plain,( 2.93/3.19 spl6_42 | spl6_608 | ~spl6_34), 2.93/3.19 inference(AVATAR_split_clause,[],[f3481,f238,f3484,f253])). 2.93/3.19 tff(f3494,plain,( 2.93/3.19 ( ! [X0:$int] : (model_max($sum(c,summation(sK0)),sK2,X0) | $less(X0,$sum(c,summation(sK2))) | $less(sK0,sK1)) ) | ~spl6_36), 2.93/3.19 inference(superposition,[],[f611,f48])). 2.93/3.19 tff(f3495,plain,( 2.93/3.19 ( ! [X1:$int] : (model_max($sum(c,summation(sK1)),sK2,X1) | $less(X1,$sum(c,summation(sK2))) | $less(sK1,sK0)) ) | ~spl6_36), 2.93/3.19 inference(superposition,[],[f611,f47])). 2.93/3.19 tff(f3498,plain,( 2.93/3.19 spl6_610 <=> ! [X1 : $int] : (model_max($sum(c,summation(sK1)),sK2,X1) | $less(X1,$sum(c,summation(sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_610])])). 2.93/3.19 tff(f3500,plain,( 2.93/3.19 spl6_42 | spl6_610 | ~spl6_36), 2.93/3.19 inference(AVATAR_split_clause,[],[f3495,f242,f3498,f253])). 2.93/3.19 tff(f3506,plain,( 2.93/3.19 $less(sK2,sK2) | model_max(sK1,sK5(sK0,sK1,sK2),sK3(sK1,sK5(sK0,sK1,sK2),sK2)) | ~model_max(sK1,sK5(sK0,sK1,sK2),sK3(sK0,sK1,sK2)) | (~spl6_14 | ~spl6_54 | ~spl6_112)), 2.93/3.19 inference(resolution,[],[f1810,f1092])). 2.93/3.19 tff(f3507,plain,( 2.93/3.19 $less(sK2,sK2) | $less(sK3(sK1,sK5(sK0,sK1,sK2),sK2),sK2) | ~model_max(sK1,sK5(sK0,sK1,sK2),sK3(sK0,sK1,sK2)) | (~spl6_14 | ~spl6_54 | ~spl6_112)), 2.93/3.19 inference(resolution,[],[f1810,f1093])). 2.93/3.19 tff(f3511,plain,( 2.93/3.19 spl6_613 <=> ~model_max(sK1,sK5(sK0,sK1,sK2),sK3(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_613])])). 2.93/3.19 tff(f3514,plain,( 2.93/3.19 spl6_614 <=> model_max(sK1,sK5(sK0,sK1,sK2),sK3(sK1,sK5(sK0,sK1,sK2),sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_614])])). 2.93/3.19 tff(f3516,plain,( 2.93/3.19 ~spl6_613 | spl6_614 | spl6_22 | ~spl6_14 | ~spl6_54 | ~spl6_112), 2.93/3.19 inference(AVATAR_split_clause,[],[f3506,f676,f316,f110,f3440,f3514,f3511])). 2.93/3.19 tff(f3518,plain,( 2.93/3.19 spl6_616 <=> $less(sK3(sK1,sK5(sK0,sK1,sK2),sK2),sK2)), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_616])])). 2.93/3.19 tff(f3520,plain,( 2.93/3.19 ~spl6_613 | spl6_616 | spl6_22 | ~spl6_14 | ~spl6_54 | ~spl6_112), 2.93/3.19 inference(AVATAR_split_clause,[],[f3507,f676,f316,f110,f3440,f3518,f3511])). 2.93/3.19 tff(f3525,plain,( 2.93/3.19 ( ! [X0:$int] : (~model_max($sum(c,summation(sK0)),sK2,X0) | ~$less(X0,$sum(c,summation(sK2))) | $less(sK0,sK1)) ) | ~spl6_36), 2.93/3.19 inference(superposition,[],[f612,f48])). 2.93/3.19 tff(f3526,plain,( 2.93/3.19 ( ! [X1:$int] : (~model_max($sum(c,summation(sK1)),sK2,X1) | ~$less(X1,$sum(c,summation(sK2))) | $less(sK1,sK0)) ) | ~spl6_36), 2.93/3.19 inference(superposition,[],[f612,f47])). 2.93/3.19 tff(f3529,plain,( 2.93/3.19 spl6_618 <=> ! [X1 : $int] : (~model_max($sum(c,summation(sK1)),sK2,X1) | ~$less(X1,$sum(c,summation(sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_618])])). 2.93/3.19 tff(f3531,plain,( 2.93/3.19 spl6_42 | spl6_618 | ~spl6_36), 2.93/3.19 inference(AVATAR_split_clause,[],[f3526,f242,f3529,f253])). 2.93/3.19 tff(f3544,plain,( 2.93/3.19 ~$less(summation(summation(summation(sK3(sK0,sK1,sK2)))),summation(summation(summation($sum(c,summation(max(sK0,sK1))))))) | ~spl6_271), 2.93/3.19 inference(resolution,[],[f1376,f50])). 2.93/3.19 tff(f3545,plain,( 2.93/3.19 summation(summation(sK3(sK0,sK1,sK2))) = max(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(max(sK0,sK1)))))) | ~spl6_271), 2.93/3.19 inference(resolution,[],[f1376,f48])). 2.93/3.19 tff(f3546,plain,( 2.93/3.19 summation(summation(sK3(sK0,sK1,sK2))) = max(summation(summation($sum(c,summation(max(sK0,sK1))))),summation(summation(sK3(sK0,sK1,sK2)))) | ~spl6_271), 2.93/3.19 inference(resolution,[],[f1376,f47])). 2.93/3.19 tff(f3547,plain,( 2.93/3.19 ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK0))))) | $less(sK0,sK1) | ~spl6_271), 2.93/3.19 inference(superposition,[],[f1376,f48])). 2.93/3.19 tff(f3548,plain,( 2.93/3.19 ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK1))))) | $less(sK1,sK0) | ~spl6_271), 2.93/3.19 inference(superposition,[],[f1376,f47])). 2.93/3.19 tff(f3550,plain,( 2.93/3.19 spl6_621 <=> ~$less(summation(summation(summation(sK3(sK0,sK1,sK2)))),summation(summation(summation($sum(c,summation(max(sK0,sK1)))))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_621])])). 2.93/3.19 tff(f3552,plain,( 2.93/3.19 ~spl6_621 | spl6_271), 2.93/3.19 inference(AVATAR_split_clause,[],[f3544,f1375,f3550])). 2.93/3.19 tff(f3554,plain,( 2.93/3.19 spl6_622 <=> summation(summation(sK3(sK0,sK1,sK2))) = max(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(max(sK0,sK1))))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_622])])). 2.93/3.19 tff(f3556,plain,( 2.93/3.19 spl6_622 | spl6_271), 2.93/3.19 inference(AVATAR_split_clause,[],[f3545,f1375,f3554])). 2.93/3.19 tff(f3558,plain,( 2.93/3.19 spl6_624 <=> summation(summation(sK3(sK0,sK1,sK2))) = max(summation(summation($sum(c,summation(max(sK0,sK1))))),summation(summation(sK3(sK0,sK1,sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_624])])). 2.93/3.19 tff(f3560,plain,( 2.93/3.19 spl6_624 | spl6_271), 2.93/3.19 inference(AVATAR_split_clause,[],[f3546,f1375,f3558])). 2.93/3.19 tff(f3561,plain,( 2.93/3.19 spl6_42 | ~spl6_549 | spl6_271), 2.93/3.19 inference(AVATAR_split_clause,[],[f3548,f1375,f3177,f253])). 2.93/3.19 tff(f3567,plain,( 2.93/3.19 $less(sK2,sK2) | model_max(sK5(sK0,sK1,sK2),sK0,sK3(sK5(sK0,sK1,sK2),sK0,sK2)) | ~model_max(sK5(sK0,sK1,sK2),sK0,sK3(sK0,sK1,sK2)) | (~spl6_14 | ~spl6_74 | ~spl6_112)), 2.93/3.19 inference(resolution,[],[f1823,f1092])). 2.93/3.19 tff(f3568,plain,( 2.93/3.19 $less(sK2,sK2) | $less(sK3(sK5(sK0,sK1,sK2),sK0,sK2),sK2) | ~model_max(sK5(sK0,sK1,sK2),sK0,sK3(sK0,sK1,sK2)) | (~spl6_14 | ~spl6_74 | ~spl6_112)), 2.93/3.19 inference(resolution,[],[f1823,f1093])). 2.93/3.19 tff(f3572,plain,( 2.93/3.19 spl6_627 <=> ~model_max(sK5(sK0,sK1,sK2),sK0,sK3(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_627])])). 2.93/3.19 tff(f3575,plain,( 2.93/3.19 spl6_628 <=> model_max(sK5(sK0,sK1,sK2),sK0,sK3(sK5(sK0,sK1,sK2),sK0,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_628])])). 2.93/3.19 tff(f3577,plain,( 2.93/3.19 ~spl6_627 | spl6_628 | spl6_22 | ~spl6_14 | ~spl6_74 | ~spl6_112), 2.93/3.19 inference(AVATAR_split_clause,[],[f3567,f676,f471,f110,f3440,f3575,f3572])). 2.93/3.19 tff(f3579,plain,( 2.93/3.19 spl6_630 <=> $less(sK3(sK5(sK0,sK1,sK2),sK0,sK2),sK2)), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_630])])). 2.93/3.19 tff(f3581,plain,( 2.93/3.19 ~spl6_627 | spl6_630 | spl6_22 | ~spl6_14 | ~spl6_74 | ~spl6_112), 2.93/3.19 inference(AVATAR_split_clause,[],[f3568,f676,f471,f110,f3440,f3579,f3572])). 2.93/3.19 tff(f3584,plain,( 2.93/3.19 ~$less(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))),summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~spl6_529), 2.93/3.19 inference(resolution,[],[f2995,f50])). 2.93/3.19 tff(f3585,plain,( 2.93/3.19 max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) = sK3(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_529), 2.93/3.19 inference(resolution,[],[f2995,f48])). 2.93/3.19 tff(f3586,plain,( 2.93/3.19 max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) = sK3(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_529), 2.93/3.19 inference(resolution,[],[f2995,f47])). 2.93/3.19 tff(f3588,plain,( 2.93/3.19 spl6_633 <=> ~$less(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))),summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_633])])). 2.93/3.19 tff(f3590,plain,( 2.93/3.19 ~spl6_633 | spl6_529), 2.93/3.19 inference(AVATAR_split_clause,[],[f3584,f2994,f3588])). 2.93/3.19 tff(f3592,plain,( 2.93/3.19 spl6_634 <=> max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) = sK3(sK0,sK1,sK3(sK0,sK1,sK2))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_634])])). 2.93/3.19 tff(f3594,plain,( 2.93/3.19 spl6_634 | spl6_529), 2.93/3.19 inference(AVATAR_split_clause,[],[f3585,f2994,f3592])). 2.93/3.19 tff(f3595,plain,( 2.93/3.19 spl6_634 | spl6_529), 2.93/3.19 inference(AVATAR_split_clause,[],[f3586,f2994,f3592])). 2.93/3.19 tff(f3603,plain,( 2.93/3.19 $less(max(sK0,sK1),sK0) | $less(max(sK0,sK1),sK1) | (~spl6_0 | ~spl6_14 | ~spl6_197)), 2.93/3.19 inference(resolution,[],[f3053,f1018])). 2.93/3.19 tff(f3604,plain,( 2.93/3.19 $less(sK0,sK0) | $less(sK0,sK1) | (~spl6_0 | ~spl6_14 | ~spl6_223)), 2.93/3.19 inference(resolution,[],[f3053,f1117])). 2.93/3.19 tff(f3605,plain,( 2.93/3.19 $less(sK1,sK0) | $less(sK1,sK1) | (~spl6_0 | ~spl6_14 | ~spl6_491)), 2.93/3.19 inference(resolution,[],[f3053,f2686])). 2.93/3.19 tff(f3615,plain,( 2.93/3.19 spl6_118 | spl6_120 | ~spl6_0 | ~spl6_14 | spl6_197), 2.93/3.19 inference(AVATAR_split_clause,[],[f3603,f1017,f110,f75,f714,f711])). 2.93/3.19 tff(f3616,plain,( 2.93/3.19 spl6_488 | spl6_42 | ~spl6_0 | ~spl6_14 | spl6_491), 2.93/3.19 inference(AVATAR_split_clause,[],[f3605,f2685,f110,f75,f253,f2672])). 2.93/3.19 tff(f3617,plain,( 2.93/3.19 spl6_38 | spl6_122 | ~spl6_0 | ~spl6_14 | spl6_223), 2.93/3.19 inference(AVATAR_split_clause,[],[f3604,f1116,f110,f75,f718,f246])). 2.93/3.19 tff(f3618,plain,( 2.93/3.19 spl6_38 | ~spl6_363 | spl6_271), 2.93/3.19 inference(AVATAR_split_clause,[],[f3547,f1375,f1899,f246])). 2.93/3.19 tff(f3620,plain,( 2.93/3.19 spl6_636 <=> ! [X0 : $int] : (~model_max($sum(c,summation(sK0)),sK2,X0) | ~$less(X0,$sum(c,summation(sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_636])])). 2.93/3.19 tff(f3622,plain,( 2.93/3.19 spl6_38 | spl6_636 | ~spl6_36), 2.93/3.19 inference(AVATAR_split_clause,[],[f3525,f242,f3620,f246])). 2.93/3.19 tff(f3624,plain,( 2.93/3.19 spl6_638 <=> ! [X0 : $int] : (model_max($sum(c,summation(sK0)),sK2,X0) | $less(X0,$sum(c,summation(sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_638])])). 2.93/3.19 tff(f3626,plain,( 2.93/3.19 spl6_38 | spl6_638 | ~spl6_36), 2.93/3.19 inference(AVATAR_split_clause,[],[f3494,f242,f3624,f246])). 2.93/3.19 tff(f3628,plain,( 2.93/3.19 spl6_640 <=> ! [X0 : $int] : (~model_max(sK2,$sum(c,summation(sK0)),X0) | ~$less(X0,$sum(c,summation(sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_640])])). 2.93/3.19 tff(f3630,plain,( 2.93/3.19 spl6_38 | spl6_640 | ~spl6_34), 2.93/3.19 inference(AVATAR_split_clause,[],[f3480,f238,f3628,f246])). 2.93/3.19 tff(f3632,plain,( 2.93/3.19 spl6_642 <=> ! [X0 : $int] : (model_max(sK2,$sum(c,summation(sK0)),X0) | $less(X0,$sum(c,summation(sK2))))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_642])])). 2.93/3.19 tff(f3634,plain,( 2.93/3.19 spl6_38 | spl6_642 | ~spl6_34), 2.93/3.19 inference(AVATAR_split_clause,[],[f3464,f238,f3632,f246])). 2.93/3.19 tff(f3636,plain,( 2.93/3.19 spl6_644 <=> ! [X0 : $int] : (ub(summation($sum(c,summation(sK0))),X0,summation(sK2)) | $less(summation(sK2),X0))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_644])])). 2.93/3.19 tff(f3638,plain,( 2.93/3.19 spl6_38 | spl6_644 | spl6_33), 2.93/3.19 inference(AVATAR_split_clause,[],[f3451,f234,f3636,f246])). 2.93/3.19 tff(f3640,plain,( 2.93/3.19 spl6_646 <=> ! [X0 : $int] : (ub(X0,summation($sum(c,summation(sK0))),summation(sK2)) | $less(summation(sK2),X0))), 2.93/3.19 introduced(AVATAR_definition,[new_symbols(naming,[spl6_646])])). 2.93/3.19 tff(f3642,plain,( 2.93/3.19 spl6_38 | spl6_646 | spl6_33), 2.93/3.19 inference(AVATAR_split_clause,[],[f3418,f234,f3640,f246])). 2.93/3.19 tff(f3643,plain,( 2.93/3.19 spl6_38 | ~spl6_527 | spl6_517), 2.93/3.19 inference(AVATAR_split_clause,[],[f3015,f2826,f2990,f246])). 2.93/3.19 tff(f3644,plain,( 2.93/3.19 ~spl6_129 | spl6_161), 2.93/3.19 inference(AVATAR_split_clause,[],[f1493,f888,f755])). 2.93/3.19 tff(f3645,plain,( 2.93/3.19 spl6_78 | ~spl6_108), 2.93/3.19 inference(AVATAR_split_clause,[],[f2021,f665,f530])). 2.93/3.19 tff(f3646,plain,( 2.93/3.19 spl6_64 | ~spl6_78), 2.93/3.19 inference(AVATAR_split_clause,[],[f658,f530,f432])). 2.93/3.19 tff(f3647,plain,( 2.93/3.19 spl6_42 | ~spl6_64), 2.93/3.19 inference(AVATAR_split_clause,[],[f523,f432,f253])). 2.93/3.19 tff(f3648,plain,( 2.93/3.19 $false), 2.93/3.19 inference(AVATAR_sat_refutation,[],[f73,f80,f89,f93,f99,f108,f112,f118,f119,f122,f123,f126,f136,f137,f140,f141,f144,f150,f159,f163,f164,f165,f166,f169,f170,f173,f180,f188,f197,f201,f202,f215,f219,f220,f236,f240,f244,f251,f258,f259,f260,f261,f264,f265,f268,f271,f277,f278,f289,f293,f310,f314,f318,f319,f320,f321,f322,f323,f324,f327,f328,f331,f340,f341,f342,f343,f344,f345,f346,f347,f350,f351,f354,f357,f363,f364,f378,f382,f386,f390,f391,f400,f401,f402,f417,f421,f425,f434,f444,f448,f452,f469,f473,f477,f478,f479,f480,f481,f482,f483,f484,f487,f488,f491,f498,f519,f520,f521,f522,f532,f551,f555,f559,f582,f586,f590,f591,f599,f606,f607,f614,f615,f616,f626,f630,f631,f638,f645,f649,f653,f657,f667,f678,f679,f688,f699,f716,f720,f721,f722,f723,f724,f725,f731,f732,f733,f734,f744,f748,f757,f761,f768,f772,f778,f779,f780,f784,f792,f793,f794,f803,f813,f820,f821,f822,f831,f835,f839,f846,f853,f857,f867,f871,f875,f890,f894,f898,f909,f913,f917,f927,f931,f932,f943,f944,f953,f957,f961,f970,f974,f978,f979,f980,f981,f984,f985,f993,f1002,f1011,f1019,f1026,f1030,f1043,f1052,f1056,f1060,f1073,f1080,f1087,f1106,f1110,f1114,f1118,f1142,f1146,f1147,f1157,f1161,f1165,f1177,f1194,f1201,f1202,f1203,f1213,f1217,f1221,f1226,f1227,f1232,f1233,f1246,f1250,f1254,f1263,f1291,f1295,f1299,f1312,f1316,f1332,f1333,f1346,f1365,f1377,f1381,f1385,f1386,f1411,f1437,f1444,f1445,f1455,f1459,f1463,f1470,f1471,f1472,f1502,f1506,f1510,f1525,f1529,f1533,f1565,f1575,f1587,f1588,f1593,f1594,f1612,f1631,f1649,f1659,f1663,f1664,f1688,f1698,f1702,f1713,f1714,f1724,f1726,f1741,f1779,f1793,f1796,f1805,f1822,f1825,f1834,f1850,f1854,f1855,f1866,f1870,f1874,f1884,f1888,f1889,f1901,f1905,f1909,f1925,f1936,f1940,f1950,f1962,f1966,f1970,f1971,f1981,f1994,f2002,f2011,f2019,f2030,f2046,f2050,f2054,f2063,f2075,f2082,f2086,f2087,f2096,f2103,f2104,f2105,f2122,f2144,f2166,f2167,f2222,f2226,f2257,f2258,f2259,f2260,f2264,f2268,f2269,f2270,f2271,f2272,f2313,f2319,f2323,f2324,f2325,f2337,f2343,f2346,f2347,f2348,f2349,f2350,f2351,f2352,f2358,f2362,f2363,f2377,f2380,f2384,f2388,f2401,f2425,f2426,f2427,f2443,f2475,f2485,f2489,f2493,f2500,f2504,f2508,f2509,f2537,f2551,f2560,f2574,f2578,f2582,f2594,f2599,f2600,f2605,f2609,f2610,f2611,f2615,f2619,f2625,f2631,f2636,f2641,f2646,f2651,f2655,f2660,f2661,f2662,f2663,f2668,f2669,f2670,f2674,f2675,f2676,f2677,f2678,f2679,f2680,f2681,f2682,f2683,f2687,f2691,f2695,f2699,f2703,f2707,f2711,f2715,f2716,f2720,f2721,f2722,f2723,f2724,f2725,f2726,f2727,f2728,f2729,f2730,f2731,f2732,f2733,f2734,f2735,f2736,f2740,f2748,f2753,f2759,f2760,f2772,f2773,f2774,f2791,f2798,f2799,f2800,f2815,f2819,f2823,f2824,f2828,f2832,f2833,f2845,f2846,f2855,f2864,f2865,f2877,f2878,f2890,f2891,f2898,f2899,f2900,f2910,f2911,f2918,f2919,f2920,f2926,f2927,f2932,f2933,f2954,f2966,f2967,f2992,f2996,f3020,f3024,f3028,f3032,f3042,f3094,f3103,f3107,f3111,f3129,f3147,f3155,f3159,f3169,f3179,f3183,f3187,f3197,f3208,f3218,f3222,f3226,f3236,f3240,f3244,f3254,f3258,f3262,f3289,f3300,f3304,f3308,f3330,f3341,f3350,f3360,f3364,f3368,f3380,f3384,f3388,f3423,f3442,f3446,f3456,f3470,f3486,f3500,f3516,f3520,f3531,f3552,f3556,f3560,f3561,f3577,f3581,f3590,f3594,f3595,f3615,f3616,f3617,f3618,f3622,f3626,f3630,f3634,f3638,f3642,f3643,f3644,f3645,f3646,f3647])). 2.93/3.19 % SZS output end Proof for theBenchmark 2.93/3.19 % ------------------------------ 2.93/3.19 % Version: Vampire 4.1 for CASC J8 Entry 2.93/3.19 % Termination reason: Refutation 2.93/3.19 2.93/3.19 % Memory used [KB]: 2430 2.93/3.19 % Time elapsed: 0.509 s 2.93/3.19 % ------------------------------ 2.93/3.19 % ------------------------------ 2.93/3.19 % Success in time 2.95 s 2.93/3.19 EOF