0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : vampire --mode casc -t %d %s 0.14/0.35 % Computer : n026.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 180 0.14/0.35 % DateTime : Thu Aug 29 10:09:20 EDT 2019 0.14/0.35 % CPUTime : 0.21/0.42 % dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark 0.39/0.58 % Refutation not found, incomplete strategy 0.39/0.58 % ------------------------------ 0.39/0.58 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.39/0.58 % Termination reason: Refutation not found, incomplete strategy 0.39/0.58 0.39/0.58 % Memory used [KB]: 5245 0.39/0.58 % Time elapsed: 0.159 s 0.39/0.58 % ------------------------------ 0.39/0.58 % ------------------------------ 0.39/0.62 % lrs+1010_4:1_aac=none:add=off:afp=40000:afq=1.0:amm=sco:anc=none:bd=off:cond=on:gs=on:gsem=on:irw=on:nm=0:nwc=2.5:sas=z3:stl=30:sos=theory:sp=reverse_arity:updr=off_11 on theBenchmark 2.03/2.22 % Time limit reached! 2.03/2.22 % ------------------------------ 2.03/2.22 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.03/2.22 % Termination reason: Time limit 2.03/2.22 % Termination phase: Saturation 2.03/2.22 2.03/2.22 % Memory used [KB]: 17910 2.03/2.22 % Time elapsed: 1.600 s 2.03/2.22 % ------------------------------ 2.03/2.22 % ------------------------------ 2.08/2.28 % dis-10_4:1_aac=none:add=off:afp=1000:afq=1.4:amm=off:anc=none:cond=fast:ep=RSTC:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:nwc=4:sas=z3:tha=off:thi=strong:uwa=interpreted_only:updr=off:uhcvi=on_6 on theBenchmark 3.10/3.28 % Time limit reached! 3.10/3.28 % ------------------------------ 3.10/3.28 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.10/3.28 % Termination reason: Time limit 3.10/3.28 % Termination phase: Saturation 3.10/3.28 3.10/3.28 % Memory used [KB]: 9338 3.10/3.28 % Time elapsed: 1.0000 s 3.10/3.28 % ------------------------------ 3.10/3.28 % ------------------------------ 3.17/3.34 % lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_74 on theBenchmark 13.17/13.14 % Time limit reached! 13.17/13.14 % ------------------------------ 13.17/13.14 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 13.17/13.14 % Termination reason: Time limit 13.17/13.14 % Termination phase: Saturation 13.17/13.14 13.17/13.14 % Memory used [KB]: 22003 13.17/13.14 % Time elapsed: 9.800 s 13.17/13.14 % ------------------------------ 13.17/13.14 % ------------------------------ 13.17/13.21 % dis+10_3:2_afr=on:afp=1000:afq=1.2:bd=off:irw=on:lcm=predicate:lwlo=on:nm=0:newcnf=on:nwc=2:sos=on:tha=off:thf=on:urr=ec_only_11 on theBenchmark 14.84/14.80 % Time limit reached! 14.84/14.80 % ------------------------------ 14.84/14.80 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 14.84/14.80 % Termination reason: Time limit 14.84/14.80 % Termination phase: Saturation 14.84/14.80 14.84/14.80 % Memory used [KB]: 28400 14.84/14.80 % Time elapsed: 1.600 s 14.84/14.80 % ------------------------------ 14.84/14.80 % ------------------------------ 14.91/14.87 % dis+1010_2:3_add=off:afr=on:afp=10000:afq=1.1:anc=none:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:sac=on:sp=reverse_arity:tha=off_9 on theBenchmark 16.20/16.17 % Time limit reached! 16.20/16.17 % ------------------------------ 16.20/16.17 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 16.20/16.17 % Termination reason: Time limit 16.20/16.17 % Termination phase: Saturation 16.20/16.17 16.20/16.17 % Memory used [KB]: 9978 16.20/16.17 % Time elapsed: 1.300 s 16.20/16.17 % ------------------------------ 16.20/16.17 % ------------------------------ 16.26/16.24 % lrs+1_2:3_afr=on:afp=1000:afq=1.1:amm=sco:anc=none:fsr=off:fde=none:gs=on:gsaa=full_model:gsem=on:lma=on:nm=64:nwc=1.3:sas=z3:stl=30:sac=on:tha=off:uwa=one_side_interpreted:updr=off_9 on theBenchmark 17.58/17.53 % Time limit reached! 17.58/17.53 % ------------------------------ 17.58/17.53 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 17.58/17.53 % Termination reason: Time limit 17.58/17.53 % Termination phase: Saturation 17.58/17.53 17.58/17.53 % Memory used [KB]: 22771 17.58/17.53 % Time elapsed: 1.300 s 17.58/17.53 % ------------------------------ 17.58/17.53 % ------------------------------ 17.69/17.60 % lrs+10_5:4_aac=none:add=large:afr=on:afp=100000:afq=1.1:anc=none:bd=off:bsr=on:er=known:fsr=off:lma=on:nm=0:nwc=1:sas=z3:stl=30:sos=on:updr=off_17 on theBenchmark 20.12/20.00 % Time limit reached! 20.12/20.00 % ------------------------------ 20.12/20.00 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 20.12/20.00 % Termination reason: Time limit 20.12/20.00 % Termination phase: Saturation 20.12/20.00 20.12/20.00 % Memory used [KB]: 9466 20.12/20.00 % Time elapsed: 2.400 s 20.12/20.00 % ------------------------------ 20.12/20.00 % ------------------------------ 20.12/20.03 % lrs+10_2_add=off:afr=on:afp=4000:afq=2.0:amm=off:anc=none:cond=fast:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:nm=64:nwc=1:sas=z3:stl=30:sos=all:sp=occurrence:tha=off:thf=on:urr=on:updr=off:uhcvi=on_6 on theBenchmark 21.18/21.03 % Time limit reached! 21.18/21.03 % ------------------------------ 21.18/21.03 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 21.18/21.03 % Termination reason: Time limit 21.18/21.03 % Termination phase: Saturation 21.18/21.03 21.18/21.03 % Memory used [KB]: 11385 21.18/21.03 % Time elapsed: 1.0000 s 21.18/21.03 % ------------------------------ 21.18/21.03 % ------------------------------ 21.19/21.10 % lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=input_only:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_34 on theBenchmark 25.86/25.69 % Time limit reached! 25.86/25.69 % ------------------------------ 25.86/25.69 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 25.86/25.69 % Termination reason: Time limit 25.86/25.69 % Termination phase: Saturation 25.86/25.69 25.86/25.69 % Memory used [KB]: 43368 25.86/25.69 % Time elapsed: 4.600 s 25.86/25.69 % ------------------------------ 25.86/25.69 % ------------------------------ 25.86/25.73 % dis+1002_4_add=off:afp=10000:afq=2.0:amm=off:anc=none:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1:sos=on:sac=on:sp=occurrence:tha=off:updr=off_3 on theBenchmark 25.86/25.73 % Refutation not found, incomplete strategy 25.86/25.73 % ------------------------------ 25.86/25.73 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 25.86/25.73 % Termination reason: Refutation not found, incomplete strategy 25.86/25.73 25.86/25.73 % Memory used [KB]: 9594 25.86/25.73 % Time elapsed: 0.003 s 25.86/25.73 % ------------------------------ 25.86/25.73 % ------------------------------ 25.96/25.76 % lrs+1011_1_add=off:afp=100000:afq=1.0:anc=none:cond=on:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:newcnf=on:nwc=1:sas=z3:stl=30:sos=on:sp=occurrence:tha=off:uwa=ground_3 on theBenchmark 26.55/26.36 % Time limit reached! 26.55/26.36 % ------------------------------ 26.55/26.36 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 26.55/26.36 % Termination reason: Time limit 26.55/26.36 % Termination phase: Saturation 26.55/26.36 26.55/26.36 % Memory used [KB]: 10746 26.55/26.36 % Time elapsed: 0.600 s 26.55/26.36 % ------------------------------ 26.55/26.36 % ------------------------------ 26.55/26.39 % dis+1_3:1_acc=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:gs=on:inw=on:lma=on:nm=32:nwc=1:urr=on_2 on theBenchmark 27.13/26.89 % Time limit reached! 27.13/26.89 % ------------------------------ 27.13/26.89 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 27.13/26.89 % Termination reason: Time limit 27.13/26.89 % Termination phase: Saturation 27.13/26.89 27.13/26.89 % Memory used [KB]: 31598 27.13/26.89 % Time elapsed: 0.500 s 27.13/26.89 % ------------------------------ 27.13/26.89 % ------------------------------ 27.15/26.92 % dis+1010_4_add=off:afp=100000:afq=1.0:anc=none:fsr=off:gs=on:gsem=off:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sac=on:tha=off:thf=on_179 on theBenchmark 27.15/26.95 % Refutation not found, incomplete strategy 27.15/26.95 % ------------------------------ 27.15/26.95 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 27.15/26.95 % Termination reason: Refutation not found, incomplete strategy 27.15/26.95 27.15/26.95 % Memory used [KB]: 5117 27.15/26.95 % Time elapsed: 0.027 s 27.15/26.95 % ------------------------------ 27.15/26.95 % ------------------------------ 27.15/26.98 % dis+1002_4_add=large:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sas=z3:sp=reverse_arity:tha=off:thi=strong_17 on theBenchmark 29.63/29.38 % Time limit reached! 29.63/29.38 % ------------------------------ 29.63/29.38 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 29.63/29.38 % Termination reason: Time limit 29.63/29.38 % Termination phase: Saturation 29.63/29.38 29.63/29.38 % Memory used [KB]: 8187 29.63/29.38 % Time elapsed: 2.400 s 29.63/29.38 % ------------------------------ 29.63/29.38 % ------------------------------ 29.63/29.41 % lrs+10_8:1_aac=none:add=off:afr=on:afp=40000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=none:gs=on:gsem=off:nm=0:nwc=1.2:sas=z3:stl=30:sos=all:sp=reverse_arity:tha=off:updr=off_68 on theBenchmark 29.91/29.67 % Refutation found. Thanks to Tanya! 29.91/29.67 % SZS status Theorem for theBenchmark 29.91/29.67 % SZS output start Proof for theBenchmark 29.91/29.67 tff(func_def_0, type, c: $int). 29.91/29.67 tff(func_def_1, type, summation: $int > $int). 29.91/29.67 tff(func_def_2, type, max: ($int * $int) > $int). 29.91/29.67 tff(func_def_4, type, sK0: $int). 29.91/29.67 tff(func_def_5, type, sK1: $int). 29.91/29.67 tff(func_def_6, type, sK2: $int). 29.91/29.67 tff(func_def_7, type, sK3: ($int * $int * $int) > $int). 29.91/29.67 tff(func_def_8, type, sK4: ($int * $int * $int) > $int). 29.91/29.67 tff(func_def_9, type, sK5: ($int * $int * $int) > $int). 29.91/29.67 tff(pred_def_1, type, ub: ($int * $int * $int) > $o). 29.91/29.67 tff(pred_def_2, type, model_max: ($int * $int * $int) > $o). 29.91/29.67 tff(pred_def_3, type, model_ub: ($int * $int * $int) > $o). 29.91/29.67 tff(pred_def_4, type, minsol_model_max: ($int * $int * $int) > $o). 29.91/29.67 tff(pred_def_5, type, minsol_model_ub: ($int * $int * $int) > $o). 29.91/29.67 tff(f1,axiom,( 29.91/29.67 ! [X0 : $int,X1 : $int] : (~$lesseq(X1,X0) | max(X0,X1) = X0)), 29.91/29.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_1)). 29.91/29.67 tff(f2,axiom,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_max(X0,X1,X2) & ! [X3 : $int] : (model_max(X0,X1,X3) => $lesseq(X2,X3))) <=> minsol_model_max(X0,X1,X2))), 29.91/29.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max)). 29.91/29.67 tff(f3,axiom,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_ub(X0,X1,X2) & ! [X3 : $int] : (model_ub(X0,X1,X3) => $lesseq(X2,X3))) <=> minsol_model_ub(X0,X1,X2))), 29.91/29.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub)). 29.91/29.67 tff(f4,axiom,( 29.91/29.67 ! [X0 : $int,X1 : $int] : ($lesseq(X0,X1) <=> $lesseq(summation(X0),summation(X1)))), 29.91/29.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',summation_monotone)). 29.91/29.67 tff(f5,axiom,( 29.91/29.67 ! [X0 : $int,X1 : $int] : (~$lesseq(X0,X1) | max(X0,X1) = X1)), 29.91/29.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2)). 29.91/29.67 tff(f6,conjecture,( 29.91/29.67 ! [X0 : $int,X1 : $int,X3 : $int] : (minsol_model_ub(X0,X1,X3) <=> minsol_model_max(X0,X1,X3))), 29.91/29.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_ub_1)). 29.91/29.67 tff(f7,negated_conjecture,( 29.91/29.67 ~! [X0 : $int,X1 : $int,X3 : $int] : (minsol_model_ub(X0,X1,X3) <=> minsol_model_max(X0,X1,X3))), 29.91/29.67 inference(negated_conjecture,[],[f6])). 29.91/29.67 tff(f8,axiom,( 29.91/29.67 ! [X0 : $int,X1 : $int,X3 : $int] : (ub(X0,X1,X3) <=> ($lesseq(X1,X3) & $lesseq(X0,X3)))), 29.91/29.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)). 29.91/29.67 tff(f9,axiom,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : ($lesseq($sum(c,summation(max(X0,X1))),X2) <=> model_max(X0,X1,X2))), 29.91/29.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_5)). 29.91/29.67 tff(f10,axiom,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : (model_ub(X0,X1,X2) <=> ? [X3 : $int] : (ub(X0,X1,X3) & $lesseq($sum(c,summation(X3)),X2)))), 29.91/29.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_5)). 29.91/29.67 tff(f11,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int] : ($less(X0,X1) | max(X0,X1) = X0)), 29.91/29.67 inference(evaluation,[],[f1])). 29.91/29.67 tff(f12,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int] : ($less(X1,X0) | max(X0,X1) = X1)), 29.91/29.67 inference(evaluation,[],[f5])). 29.91/29.67 tff(f13,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int] : (~$less(X1,X0) <=> ~$less(summation(X1),summation(X0)))), 29.91/29.67 inference(evaluation,[],[f4])). 29.91/29.67 tff(f14,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X3 : $int] : (ub(X0,X1,X3) <=> (~$less(X3,X1) & ~$less(X3,X0)))), 29.91/29.67 inference(evaluation,[],[f8])). 29.91/29.67 tff(f15,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : (model_ub(X0,X1,X2) <=> ? [X3 : $int] : (ub(X0,X1,X3) & ~$less(X2,$sum(c,summation(X3)))))), 29.91/29.67 inference(evaluation,[],[f10])). 29.91/29.67 tff(f16,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X2,$sum(c,summation(max(X0,X1)))) <=> model_max(X0,X1,X2))), 29.91/29.67 inference(evaluation,[],[f9])). 29.91/29.67 tff(f17,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_max(X0,X1,X2) & ! [X3 : $int] : (model_max(X0,X1,X3) => ~$less(X3,X2))) <=> minsol_model_max(X0,X1,X2))), 29.91/29.67 inference(evaluation,[],[f2])). 29.91/29.67 tff(f18,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_ub(X0,X1,X2) & ! [X3 : $int] : (model_ub(X0,X1,X3) => ~$less(X3,X2))) <=> minsol_model_ub(X0,X1,X2))), 29.91/29.67 inference(evaluation,[],[f3])). 29.91/29.67 tff(f19,plain,( 29.91/29.67 ~! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <=> minsol_model_max(X0,X1,X2))), 29.91/29.67 inference(rectify,[],[f7])). 29.91/29.67 tff(f20,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : (ub(X0,X1,X2) <=> (~$less(X2,X1) & ~$less(X2,X0)))), 29.91/29.67 inference(rectify,[],[f14])). 29.91/29.67 tff(f21,plain,( 29.91/29.67 ? [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <~> minsol_model_max(X0,X1,X2))), 29.91/29.67 inference(ennf_transformation,[],[f19])). 29.91/29.67 tff(f22,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_max(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3))) <=> minsol_model_max(X0,X1,X2))), 29.91/29.67 inference(ennf_transformation,[],[f17])). 29.91/29.67 tff(f23,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_ub(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3))) <=> minsol_model_ub(X0,X1,X2))), 29.91/29.67 inference(ennf_transformation,[],[f18])). 29.91/29.67 tff(f24,plain,( 29.91/29.67 ? [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)))), 29.91/29.67 inference(nnf_transformation,[],[f21])). 29.91/29.67 tff(f25,plain,( 29.91/29.67 ? [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)))), 29.91/29.67 introduced(choice_axiom,[])). 29.91/29.67 tff(f26,plain,( 29.91/29.67 (~minsol_model_max(sK0,sK1,sK2) | ~minsol_model_ub(sK0,sK1,sK2)) & (minsol_model_max(sK0,sK1,sK2) | minsol_model_ub(sK0,sK1,sK2))), 29.91/29.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f24,f25])). 29.91/29.67 tff(f27,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int] : ((~$less(X1,X0) | $less(summation(X1),summation(X0))) & (~$less(summation(X1),summation(X0)) | $less(X1,X0)))), 29.91/29.67 inference(nnf_transformation,[],[f13])). 29.91/29.67 tff(f28,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : ((ub(X0,X1,X2) | ($less(X2,X1) | $less(X2,X0))) & ((~$less(X2,X1) & ~$less(X2,X0)) | ~ub(X0,X1,X2)))), 29.91/29.67 inference(nnf_transformation,[],[f20])). 29.91/29.67 tff(f29,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : ((ub(X0,X1,X2) | $less(X2,X1) | $less(X2,X0)) & ((~$less(X2,X1) & ~$less(X2,X0)) | ~ub(X0,X1,X2)))), 29.91/29.67 inference(flattening,[],[f28])). 29.91/29.67 tff(f30,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_ub(X0,X1,X2) | ! [X3 : $int] : (~ub(X0,X1,X3) | $less(X2,$sum(c,summation(X3))))) & (? [X3 : $int] : (ub(X0,X1,X3) & ~$less(X2,$sum(c,summation(X3)))) | ~model_ub(X0,X1,X2)))), 29.91/29.67 inference(nnf_transformation,[],[f15])). 29.91/29.67 tff(f31,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_ub(X0,X1,X2) | ! [X3 : $int] : (~ub(X0,X1,X3) | $less(X2,$sum(c,summation(X3))))) & (? [X4 : $int] : (ub(X0,X1,X4) & ~$less(X2,$sum(c,summation(X4)))) | ~model_ub(X0,X1,X2)))), 29.91/29.67 inference(rectify,[],[f30])). 29.91/29.67 tff(f32,plain,( 29.91/29.67 ! [X2 : $int,X1 : $int,X0 : $int] : (? [X4 : $int] : (ub(X0,X1,X4) & ~$less(X2,$sum(c,summation(X4)))) => (ub(X0,X1,sK3(X0,X1,X2)) & ~$less(X2,$sum(c,summation(sK3(X0,X1,X2))))))), 29.91/29.67 introduced(choice_axiom,[])). 29.91/29.67 tff(f33,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_ub(X0,X1,X2) | ! [X3 : $int] : (~ub(X0,X1,X3) | $less(X2,$sum(c,summation(X3))))) & ((ub(X0,X1,sK3(X0,X1,X2)) & ~$less(X2,$sum(c,summation(sK3(X0,X1,X2))))) | ~model_ub(X0,X1,X2)))), 29.91/29.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f31,f32])). 29.91/29.67 tff(f34,plain,( 29.91/29.67 ! [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))))))), 29.91/29.67 inference(nnf_transformation,[],[f16])). 29.91/29.67 tff(f35,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : (((model_max(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3))) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | (~model_max(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3)))))), 29.91/29.67 inference(nnf_transformation,[],[f22])). 29.91/29.67 tff(f36,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : (((model_max(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3))) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3))))), 29.91/29.67 inference(flattening,[],[f35])). 29.91/29.67 tff(f37,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : (((model_max(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3))) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | ? [X4 : $int] : ($less(X4,X2) & model_max(X0,X1,X4))))), 29.91/29.67 inference(rectify,[],[f36])). 29.91/29.67 tff(f38,plain,( 29.91/29.67 ! [X2 : $int,X1 : $int,X0 : $int] : (? [X4 : $int] : ($less(X4,X2) & model_max(X0,X1,X4)) => ($less(sK4(X0,X1,X2),X2) & model_max(X0,X1,sK4(X0,X1,X2))))), 29.91/29.67 introduced(choice_axiom,[])). 29.91/29.67 tff(f39,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : (((model_max(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3))) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | ($less(sK4(X0,X1,X2),X2) & model_max(X0,X1,sK4(X0,X1,X2)))))), 29.91/29.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f37,f38])). 29.91/29.67 tff(f40,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : (((model_ub(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3))) | ~minsol_model_ub(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | (~model_ub(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3)))))), 29.91/29.67 inference(nnf_transformation,[],[f23])). 29.91/29.67 tff(f41,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : (((model_ub(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3))) | ~minsol_model_ub(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3))))), 29.91/29.67 inference(flattening,[],[f40])). 29.91/29.67 tff(f42,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : (((model_ub(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3))) | ~minsol_model_ub(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | ? [X4 : $int] : ($less(X4,X2) & model_ub(X0,X1,X4))))), 29.91/29.67 inference(rectify,[],[f41])). 29.91/29.67 tff(f43,plain,( 29.91/29.67 ! [X2 : $int,X1 : $int,X0 : $int] : (? [X4 : $int] : ($less(X4,X2) & model_ub(X0,X1,X4)) => ($less(sK5(X0,X1,X2),X2) & model_ub(X0,X1,sK5(X0,X1,X2))))), 29.91/29.67 introduced(choice_axiom,[])). 29.91/29.67 tff(f44,plain,( 29.91/29.67 ! [X0 : $int,X1 : $int,X2 : $int] : (((model_ub(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3))) | ~minsol_model_ub(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | ($less(sK5(X0,X1,X2),X2) & model_ub(X0,X1,sK5(X0,X1,X2)))))), 29.91/29.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f42,f43])). 29.91/29.67 tff(f45,plain,( 29.91/29.67 minsol_model_max(sK0,sK1,sK2) | minsol_model_ub(sK0,sK1,sK2)), 29.91/29.67 inference(cnf_transformation,[],[f26])). 29.91/29.67 tff(f46,plain,( 29.91/29.67 ~minsol_model_max(sK0,sK1,sK2) | ~minsol_model_ub(sK0,sK1,sK2)), 29.91/29.67 inference(cnf_transformation,[],[f26])). 29.91/29.67 tff(f47,plain,( 29.91/29.67 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | max(X0,X1) = X0) )), 29.91/29.67 inference(cnf_transformation,[],[f11])). 29.91/29.67 tff(f48,plain,( 29.91/29.67 ( ! [X0:$int,X1:$int] : ($less(X1,X0) | max(X0,X1) = X1) )), 29.91/29.67 inference(cnf_transformation,[],[f12])). 29.91/29.67 tff(f49,plain,( 29.91/29.67 ( ! [X0:$int,X1:$int] : (~$less(summation(X1),summation(X0)) | $less(X1,X0)) )), 29.91/29.67 inference(cnf_transformation,[],[f27])). 29.91/29.67 tff(f50,plain,( 29.91/29.67 ( ! [X0:$int,X1:$int] : (~$less(X1,X0) | $less(summation(X1),summation(X0))) )), 29.91/29.67 inference(cnf_transformation,[],[f27])). 29.91/29.67 tff(f51,plain,( 29.91/29.67 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,X0) | ~ub(X0,X1,X2)) )), 29.91/29.67 inference(cnf_transformation,[],[f29])). 29.91/29.67 tff(f52,plain,( 29.91/29.67 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,X1) | ~ub(X0,X1,X2)) )), 29.91/29.67 inference(cnf_transformation,[],[f29])). 29.91/29.67 tff(f53,plain,( 29.91/29.67 ( ! [X2:$int,X0:$int,X1:$int] : (ub(X0,X1,X2) | $less(X2,X1) | $less(X2,X0)) )), 29.91/29.67 inference(cnf_transformation,[],[f29])). 29.91/29.67 tff(f54,plain,( 29.91/29.67 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,$sum(c,summation(sK3(X0,X1,X2)))) | ~model_ub(X0,X1,X2)) )), 29.91/29.67 inference(cnf_transformation,[],[f33])). 29.91/29.67 tff(f55,plain,( 29.91/29.67 ( ! [X2:$int,X0:$int,X1:$int] : (ub(X0,X1,sK3(X0,X1,X2)) | ~model_ub(X0,X1,X2)) )), 29.91/29.67 inference(cnf_transformation,[],[f33])). 29.91/29.67 tff(f56,plain,( 29.91/29.67 ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (model_ub(X0,X1,X2) | ~ub(X0,X1,X3) | $less(X2,$sum(c,summation(X3)))) )), 29.91/29.67 inference(cnf_transformation,[],[f33])). 29.91/29.67 tff(f57,plain,( 29.91/29.67 ( ! [X2:$int,X0:$int,X1:$int] : (model_max(X0,X1,X2) | $less(X2,$sum(c,summation(max(X0,X1))))) )), 29.91/29.67 inference(cnf_transformation,[],[f34])). 29.91/29.67 tff(f58,plain,( 29.91/29.67 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,$sum(c,summation(max(X0,X1)))) | ~model_max(X0,X1,X2)) )), 29.91/29.67 inference(cnf_transformation,[],[f34])). 29.91/29.67 tff(f59,plain,( 29.91/29.67 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | model_max(X0,X1,sK4(X0,X1,X2))) )), 29.91/29.67 inference(cnf_transformation,[],[f39])). 29.91/29.67 tff(f60,plain,( 29.91/29.67 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | $less(sK4(X0,X1,X2),X2)) )), 29.91/29.67 inference(cnf_transformation,[],[f39])). 29.91/29.67 tff(f61,plain,( 29.91/29.67 ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (~$less(X3,X2) | ~model_max(X0,X1,X3) | ~minsol_model_max(X0,X1,X2)) )), 29.91/29.67 inference(cnf_transformation,[],[f39])). 29.91/29.67 tff(f62,plain,( 29.91/29.67 ( ! [X2:$int,X0:$int,X1:$int] : (model_max(X0,X1,X2) | ~minsol_model_max(X0,X1,X2)) )), 29.91/29.67 inference(cnf_transformation,[],[f39])). 29.91/29.67 tff(f63,plain,( 29.91/29.67 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | model_ub(X0,X1,sK5(X0,X1,X2))) )), 29.91/29.67 inference(cnf_transformation,[],[f44])). 29.91/29.67 tff(f64,plain,( 29.91/29.67 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | $less(sK5(X0,X1,X2),X2)) )), 29.91/29.67 inference(cnf_transformation,[],[f44])). 29.91/29.67 tff(f65,plain,( 29.91/29.67 ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3) | ~minsol_model_ub(X0,X1,X2)) )), 29.91/29.67 inference(cnf_transformation,[],[f44])). 29.91/29.67 tff(f66,plain,( 29.91/29.67 ( ! [X2:$int,X0:$int,X1:$int] : (model_ub(X0,X1,X2) | ~minsol_model_ub(X0,X1,X2)) )), 29.91/29.67 inference(cnf_transformation,[],[f44])). 29.91/29.67 tff(f68,plain,( 29.91/29.67 spl6_1 <=> ~minsol_model_ub(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_1])])). 29.91/29.67 tff(f69,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,sK2) | ~spl6_1), 29.91/29.67 inference(avatar_component_clause,[],[f68])). 29.91/29.67 tff(f71,plain,( 29.91/29.67 spl6_3 <=> ~minsol_model_max(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_3])])). 29.91/29.67 tff(f72,plain,( 29.91/29.67 ~minsol_model_max(sK0,sK1,sK2) | ~spl6_3), 29.91/29.67 inference(avatar_component_clause,[],[f71])). 29.91/29.67 tff(f73,plain,( 29.91/29.67 ~spl6_1 | ~spl6_3), 29.91/29.67 inference(avatar_split_clause,[],[f46,f71,f68])). 29.91/29.67 tff(f75,plain,( 29.91/29.67 spl6_0 <=> minsol_model_ub(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_0])])). 29.91/29.67 tff(f76,plain,( 29.91/29.67 minsol_model_ub(sK0,sK1,sK2) | ~spl6_0), 29.91/29.67 inference(avatar_component_clause,[],[f75])). 29.91/29.67 tff(f78,plain,( 29.91/29.67 spl6_2 <=> minsol_model_max(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_2])])). 29.91/29.67 tff(f79,plain,( 29.91/29.67 minsol_model_max(sK0,sK1,sK2) | ~spl6_2), 29.91/29.67 inference(avatar_component_clause,[],[f78])). 29.91/29.67 tff(f80,plain,( 29.91/29.67 spl6_0 | spl6_2), 29.91/29.67 inference(avatar_split_clause,[],[f45,f78,f75])). 29.91/29.67 tff(f81,plain,( 29.91/29.67 ~model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_1), 29.91/29.67 inference(resolution,[],[f69,f63])). 29.91/29.67 tff(f82,plain,( 29.91/29.67 ~model_ub(sK0,sK1,sK2) | $less(sK5(sK0,sK1,sK2),sK2) | ~spl6_1), 29.91/29.67 inference(resolution,[],[f69,f64])). 29.91/29.67 tff(f84,plain,( 29.91/29.67 spl6_4 <=> model_ub(sK0,sK1,sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_4])])). 29.91/29.67 tff(f85,plain,( 29.91/29.67 model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_4), 29.91/29.67 inference(avatar_component_clause,[],[f84])). 29.91/29.67 tff(f87,plain,( 29.91/29.67 spl6_7 <=> ~model_ub(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_7])])). 29.91/29.67 tff(f88,plain,( 29.91/29.67 ~model_ub(sK0,sK1,sK2) | ~spl6_7), 29.91/29.67 inference(avatar_component_clause,[],[f87])). 29.91/29.67 tff(f89,plain,( 29.91/29.67 spl6_4 | ~spl6_7 | spl6_1), 29.91/29.67 inference(avatar_split_clause,[],[f81,f68,f87,f84])). 29.91/29.67 tff(f91,plain,( 29.91/29.67 spl6_8 <=> $less(sK5(sK0,sK1,sK2),sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_8])])). 29.91/29.67 tff(f92,plain,( 29.91/29.67 $less(sK5(sK0,sK1,sK2),sK2) | ~spl6_8), 29.91/29.67 inference(avatar_component_clause,[],[f91])). 29.91/29.67 tff(f93,plain,( 29.91/29.67 spl6_8 | ~spl6_7 | spl6_1), 29.91/29.67 inference(avatar_split_clause,[],[f82,f68,f87,f91])). 29.91/29.67 tff(f94,plain,( 29.91/29.67 ( ! [X0:$int] : (~model_max(sK0,sK1,X0) | ~$less(X0,sK2)) ) | ~spl6_2), 29.91/29.67 inference(resolution,[],[f79,f61])). 29.91/29.67 tff(f95,plain,( 29.91/29.67 model_max(sK0,sK1,sK2) | ~spl6_2), 29.91/29.67 inference(resolution,[],[f79,f62])). 29.91/29.67 tff(f97,plain,( 29.91/29.67 spl6_10 <=> model_max(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_10])])). 29.91/29.67 tff(f98,plain,( 29.91/29.67 model_max(sK0,sK1,sK2) | ~spl6_10), 29.91/29.67 inference(avatar_component_clause,[],[f97])). 29.91/29.67 tff(f99,plain,( 29.91/29.67 spl6_10 | ~spl6_2), 29.91/29.67 inference(avatar_split_clause,[],[f95,f78,f97])). 29.91/29.67 tff(f100,plain,( 29.91/29.67 ~model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_3), 29.91/29.67 inference(resolution,[],[f72,f59])). 29.91/29.67 tff(f101,plain,( 29.91/29.67 ~model_max(sK0,sK1,sK2) | $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_3), 29.91/29.67 inference(resolution,[],[f72,f60])). 29.91/29.67 tff(f103,plain,( 29.91/29.67 spl6_12 <=> model_max(sK0,sK1,sK4(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_12])])). 29.91/29.67 tff(f104,plain,( 29.91/29.67 model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_12), 29.91/29.67 inference(avatar_component_clause,[],[f103])). 29.91/29.67 tff(f106,plain,( 29.91/29.67 spl6_11 <=> ~model_max(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_11])])). 29.91/29.67 tff(f107,plain,( 29.91/29.67 ~model_max(sK0,sK1,sK2) | ~spl6_11), 29.91/29.67 inference(avatar_component_clause,[],[f106])). 29.91/29.67 tff(f108,plain,( 29.91/29.67 spl6_12 | ~spl6_11 | spl6_3), 29.91/29.67 inference(avatar_split_clause,[],[f100,f71,f106,f103])). 29.91/29.67 tff(f110,plain,( 29.91/29.67 spl6_14 <=> $less(sK4(sK0,sK1,sK2),sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_14])])). 29.91/29.67 tff(f111,plain,( 29.91/29.67 $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_14), 29.91/29.67 inference(avatar_component_clause,[],[f110])). 29.91/29.67 tff(f112,plain,( 29.91/29.67 spl6_14 | ~spl6_11 | spl6_3), 29.91/29.67 inference(avatar_split_clause,[],[f101,f71,f106,f110])). 29.91/29.67 tff(f113,plain,( 29.91/29.67 ( ! [X0:$int] : (~model_ub(sK0,sK1,X0) | ~$less(X0,sK2)) ) | ~spl6_0), 29.91/29.67 inference(resolution,[],[f76,f65])). 29.91/29.67 tff(f114,plain,( 29.91/29.67 model_ub(sK0,sK1,sK2) | ~spl6_0), 29.91/29.67 inference(resolution,[],[f76,f66])). 29.91/29.67 tff(f116,plain,( 29.91/29.67 spl6_6 <=> model_ub(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_6])])). 29.91/29.67 tff(f117,plain,( 29.91/29.67 model_ub(sK0,sK1,sK2) | ~spl6_6), 29.91/29.67 inference(avatar_component_clause,[],[f116])). 29.91/29.67 tff(f118,plain,( 29.91/29.67 spl6_6 | ~spl6_0), 29.91/29.67 inference(avatar_split_clause,[],[f114,f75,f116])). 29.91/29.67 tff(f119,plain,( 29.91/29.67 ~model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_1), 29.91/29.67 inference(resolution,[],[f69,f63])). 29.91/29.67 tff(f120,plain,( 29.91/29.67 ~model_ub(sK0,sK1,sK2) | $less(sK5(sK0,sK1,sK2),sK2) | ~spl6_1), 29.91/29.67 inference(resolution,[],[f69,f64])). 29.91/29.67 tff(f123,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,sK2) | ~spl6_7), 29.91/29.67 inference(resolution,[],[f88,f66])). 29.91/29.67 tff(f124,plain,( 29.91/29.67 ( ! [X0:$int] : (~ub(sK0,sK1,X0) | $less(sK2,$sum(c,summation(X0)))) ) | ~spl6_7), 29.91/29.67 inference(resolution,[],[f88,f56])). 29.91/29.67 tff(f125,plain,( 29.91/29.67 minsol_model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_10), 29.91/29.67 inference(resolution,[],[f98,f59])). 29.91/29.67 tff(f126,plain,( 29.91/29.67 minsol_model_max(sK0,sK1,sK2) | $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_10), 29.91/29.67 inference(resolution,[],[f98,f60])). 29.91/29.67 tff(f127,plain,( 29.91/29.67 ( ! [X0:$int] : (~minsol_model_max(sK0,sK1,X0) | ~$less(sK2,X0)) ) | ~spl6_10), 29.91/29.67 inference(resolution,[],[f98,f61])). 29.91/29.67 tff(f128,plain,( 29.91/29.67 ~$less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_10), 29.91/29.67 inference(resolution,[],[f98,f58])). 29.91/29.67 tff(f130,plain,( 29.91/29.67 spl6_17 <=> ~$less(sK2,$sum(c,summation(max(sK0,sK1))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_17])])). 29.91/29.67 tff(f131,plain,( 29.91/29.67 ~$less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_17), 29.91/29.67 inference(avatar_component_clause,[],[f130])). 29.91/29.67 tff(f132,plain,( 29.91/29.67 ~spl6_17 | ~spl6_10), 29.91/29.67 inference(avatar_split_clause,[],[f128,f97,f130])). 29.91/29.67 tff(f133,plain,( 29.91/29.67 ~$less(sK2,sK2) | (~spl6_2 | ~spl6_10)), 29.91/29.67 inference(resolution,[],[f94,f98])). 29.91/29.67 tff(f135,plain,( 29.91/29.67 ( ! [X1:$int] : ($less(X1,$sum(c,summation(max(sK0,sK1)))) | ~$less(X1,sK2)) ) | ~spl6_2), 29.91/29.67 inference(resolution,[],[f94,f57])). 29.91/29.67 tff(f138,plain,( 29.91/29.67 spl6_19 <=> ~$less(sK2,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_19])])). 29.91/29.67 tff(f139,plain,( 29.91/29.67 ~$less(sK2,sK2) | ~spl6_19), 29.91/29.67 inference(avatar_component_clause,[],[f138])). 29.91/29.67 tff(f140,plain,( 29.91/29.67 ~spl6_19 | ~spl6_2 | ~spl6_10), 29.91/29.67 inference(avatar_split_clause,[],[f133,f97,f78,f138])). 29.91/29.67 tff(f143,plain,( 29.91/29.67 ~$less(summation(sK2),summation(sK2)) | ~spl6_19), 29.91/29.67 inference(resolution,[],[f139,f49])). 29.91/29.67 tff(f144,plain,( 29.91/29.67 max(sK2,sK2) = sK2 | ~spl6_19), 29.91/29.67 inference(resolution,[],[f139,f48])). 29.91/29.67 tff(f145,plain,( 29.91/29.67 max(sK2,sK2) = sK2 | ~spl6_19), 29.91/29.67 inference(resolution,[],[f139,f47])). 29.91/29.67 tff(f147,plain,( 29.91/29.67 spl6_21 <=> ~$less(summation(sK2),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_21])])). 29.91/29.67 tff(f148,plain,( 29.91/29.67 ~$less(summation(sK2),summation(sK2)) | ~spl6_21), 29.91/29.67 inference(avatar_component_clause,[],[f147])). 29.91/29.67 tff(f149,plain,( 29.91/29.67 ~spl6_21 | spl6_19), 29.91/29.67 inference(avatar_split_clause,[],[f143,f138,f147])). 29.91/29.67 tff(f151,plain,( 29.91/29.67 spl6_22 <=> max(sK2,sK2) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_22])])). 29.91/29.67 tff(f152,plain,( 29.91/29.67 max(sK2,sK2) = sK2 | ~spl6_22), 29.91/29.67 inference(avatar_component_clause,[],[f151])). 29.91/29.67 tff(f153,plain,( 29.91/29.67 spl6_22 | spl6_19), 29.91/29.67 inference(avatar_split_clause,[],[f144,f138,f151])). 29.91/29.67 tff(f154,plain,( 29.91/29.67 spl6_22 | spl6_19), 29.91/29.67 inference(avatar_split_clause,[],[f145,f138,f151])). 29.91/29.67 tff(f158,plain,( 29.91/29.67 ~$less(summation(summation(sK2)),summation(summation(sK2))) | ~spl6_21), 29.91/29.67 inference(resolution,[],[f148,f49])). 29.91/29.67 tff(f159,plain,( 29.91/29.67 summation(sK2) = max(summation(sK2),summation(sK2)) | ~spl6_21), 29.91/29.67 inference(resolution,[],[f148,f48])). 29.91/29.67 tff(f160,plain,( 29.91/29.67 summation(sK2) = max(summation(sK2),summation(sK2)) | ~spl6_21), 29.91/29.67 inference(resolution,[],[f148,f47])). 29.91/29.67 tff(f162,plain,( 29.91/29.67 spl6_25 <=> ~$less(summation(summation(sK2)),summation(summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_25])])). 29.91/29.67 tff(f163,plain,( 29.91/29.67 ~$less(summation(summation(sK2)),summation(summation(sK2))) | ~spl6_25), 29.91/29.67 inference(avatar_component_clause,[],[f162])). 29.91/29.67 tff(f164,plain,( 29.91/29.67 ~spl6_25 | spl6_21), 29.91/29.67 inference(avatar_split_clause,[],[f158,f147,f162])). 29.91/29.67 tff(f166,plain,( 29.91/29.67 spl6_26 <=> summation(sK2) = max(summation(sK2),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_26])])). 29.91/29.67 tff(f167,plain,( 29.91/29.67 summation(sK2) = max(summation(sK2),summation(sK2)) | ~spl6_26), 29.91/29.67 inference(avatar_component_clause,[],[f166])). 29.91/29.67 tff(f168,plain,( 29.91/29.67 spl6_26 | spl6_21), 29.91/29.67 inference(avatar_split_clause,[],[f159,f147,f166])). 29.91/29.67 tff(f169,plain,( 29.91/29.67 spl6_26 | spl6_21), 29.91/29.67 inference(avatar_split_clause,[],[f160,f147,f166])). 29.91/29.67 tff(f172,plain,( 29.91/29.67 ( ! [X1:$int] : (~model_max(sK0,sK1,X1) | ~$less(sK2,X1) | $less(sK4(sK0,sK1,X1),X1)) ) | ~spl6_10), 29.91/29.67 inference(resolution,[],[f127,f60])). 29.91/29.67 tff(f176,plain,( 29.91/29.67 model_max(sK0,sK1,sK2) | ~spl6_17), 29.91/29.67 inference(resolution,[],[f131,f57])). 29.91/29.67 tff(f180,plain,( 29.91/29.67 ~$less(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_17), 29.91/29.67 inference(resolution,[],[f131,f49])). 29.91/29.67 tff(f181,plain,( 29.91/29.67 max($sum(c,summation(max(sK0,sK1))),sK2) = sK2 | ~spl6_17), 29.91/29.67 inference(resolution,[],[f131,f48])). 29.91/29.67 tff(f182,plain,( 29.91/29.67 max(sK2,$sum(c,summation(max(sK0,sK1)))) = sK2 | ~spl6_17), 29.91/29.67 inference(resolution,[],[f131,f47])). 29.91/29.67 tff(f183,plain,( 29.91/29.67 ~$less(sK2,$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_17), 29.91/29.67 inference(superposition,[],[f131,f48])). 29.91/29.67 tff(f184,plain,( 29.91/29.67 ~$less(sK2,$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_17), 29.91/29.67 inference(superposition,[],[f131,f47])). 29.91/29.67 tff(f186,plain,( 29.91/29.67 spl6_29 <=> ~$less(summation(sK2),summation($sum(c,summation(max(sK0,sK1)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_29])])). 29.91/29.67 tff(f187,plain,( 29.91/29.67 ~$less(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_29), 29.91/29.67 inference(avatar_component_clause,[],[f186])). 29.91/29.67 tff(f188,plain,( 29.91/29.67 ~spl6_29 | spl6_17), 29.91/29.67 inference(avatar_split_clause,[],[f180,f130,f186])). 29.91/29.67 tff(f190,plain,( 29.91/29.67 spl6_30 <=> max($sum(c,summation(max(sK0,sK1))),sK2) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_30])])). 29.91/29.67 tff(f191,plain,( 29.91/29.67 max($sum(c,summation(max(sK0,sK1))),sK2) = sK2 | ~spl6_30), 29.91/29.67 inference(avatar_component_clause,[],[f190])). 29.91/29.67 tff(f192,plain,( 29.91/29.67 spl6_30 | spl6_17), 29.91/29.67 inference(avatar_split_clause,[],[f181,f130,f190])). 29.91/29.67 tff(f194,plain,( 29.91/29.67 spl6_32 <=> max(sK2,$sum(c,summation(max(sK0,sK1)))) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_32])])). 29.91/29.67 tff(f195,plain,( 29.91/29.67 max(sK2,$sum(c,summation(max(sK0,sK1)))) = sK2 | ~spl6_32), 29.91/29.67 inference(avatar_component_clause,[],[f194])). 29.91/29.67 tff(f196,plain,( 29.91/29.67 spl6_32 | spl6_17), 29.91/29.67 inference(avatar_split_clause,[],[f182,f130,f194])). 29.91/29.67 tff(f198,plain,( 29.91/29.67 spl6_34 <=> $less(sK1,sK0)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_34])])). 29.91/29.67 tff(f199,plain,( 29.91/29.67 $less(sK1,sK0) | ~spl6_34), 29.91/29.67 inference(avatar_component_clause,[],[f198])). 29.91/29.67 tff(f201,plain,( 29.91/29.67 spl6_37 <=> ~$less(sK2,$sum(c,summation(sK1)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_37])])). 29.91/29.67 tff(f202,plain,( 29.91/29.67 ~$less(sK2,$sum(c,summation(sK1))) | ~spl6_37), 29.91/29.67 inference(avatar_component_clause,[],[f201])). 29.91/29.67 tff(f203,plain,( 29.91/29.67 spl6_34 | ~spl6_37 | spl6_17), 29.91/29.67 inference(avatar_split_clause,[],[f183,f130,f201,f198])). 29.91/29.67 tff(f205,plain,( 29.91/29.67 spl6_38 <=> $less(sK0,sK1)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_38])])). 29.91/29.67 tff(f206,plain,( 29.91/29.67 $less(sK0,sK1) | ~spl6_38), 29.91/29.67 inference(avatar_component_clause,[],[f205])). 29.91/29.67 tff(f208,plain,( 29.91/29.67 spl6_41 <=> ~$less(sK2,$sum(c,summation(sK0)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_41])])). 29.91/29.67 tff(f209,plain,( 29.91/29.67 ~$less(sK2,$sum(c,summation(sK0))) | ~spl6_41), 29.91/29.67 inference(avatar_component_clause,[],[f208])). 29.91/29.67 tff(f210,plain,( 29.91/29.67 spl6_38 | ~spl6_41 | spl6_17), 29.91/29.67 inference(avatar_split_clause,[],[f184,f130,f208,f205])). 29.91/29.67 tff(f215,plain,( 29.91/29.67 ~minsol_model_max(sK0,sK1,sK2) | ~spl6_11), 29.91/29.67 inference(resolution,[],[f107,f62])). 29.91/29.67 tff(f216,plain,( 29.91/29.67 $less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_11), 29.91/29.67 inference(resolution,[],[f107,f57])). 29.91/29.67 tff(f218,plain,( 29.91/29.67 spl6_16 <=> $less(sK2,$sum(c,summation(max(sK0,sK1))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_16])])). 29.91/29.67 tff(f219,plain,( 29.91/29.67 $less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_16), 29.91/29.67 inference(avatar_component_clause,[],[f218])). 29.91/29.67 tff(f220,plain,( 29.91/29.67 spl6_16 | spl6_11), 29.91/29.67 inference(avatar_split_clause,[],[f216,f106,f218])). 29.91/29.67 tff(f221,plain,( 29.91/29.67 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_6), 29.91/29.67 inference(resolution,[],[f117,f63])). 29.91/29.67 tff(f222,plain,( 29.91/29.67 minsol_model_ub(sK0,sK1,sK2) | $less(sK5(sK0,sK1,sK2),sK2) | ~spl6_6), 29.91/29.67 inference(resolution,[],[f117,f64])). 29.91/29.67 tff(f223,plain,( 29.91/29.67 ( ! [X0:$int] : (~minsol_model_ub(sK0,sK1,X0) | ~$less(sK2,X0)) ) | ~spl6_6), 29.91/29.67 inference(resolution,[],[f117,f65])). 29.91/29.67 tff(f224,plain,( 29.91/29.67 ~$less(sK2,$sum(c,summation(sK3(sK0,sK1,sK2)))) | ~spl6_6), 29.91/29.67 inference(resolution,[],[f117,f54])). 29.91/29.67 tff(f225,plain,( 29.91/29.67 ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_6), 29.91/29.67 inference(resolution,[],[f117,f55])). 29.91/29.67 tff(f227,plain,( 29.91/29.67 spl6_43 <=> ~$less(sK2,$sum(c,summation(sK3(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_43])])). 29.91/29.67 tff(f228,plain,( 29.91/29.67 ~$less(sK2,$sum(c,summation(sK3(sK0,sK1,sK2)))) | ~spl6_43), 29.91/29.67 inference(avatar_component_clause,[],[f227])). 29.91/29.67 tff(f229,plain,( 29.91/29.67 ~spl6_43 | ~spl6_6), 29.91/29.67 inference(avatar_split_clause,[],[f224,f116,f227])). 29.91/29.67 tff(f231,plain,( 29.91/29.67 spl6_44 <=> ub(sK0,sK1,sK3(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_44])])). 29.91/29.67 tff(f232,plain,( 29.91/29.67 ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_44), 29.91/29.67 inference(avatar_component_clause,[],[f231])). 29.91/29.67 tff(f233,plain,( 29.91/29.67 spl6_44 | ~spl6_6), 29.91/29.67 inference(avatar_split_clause,[],[f225,f116,f231])). 29.91/29.67 tff(f234,plain,( 29.91/29.67 spl6_10 | spl6_17), 29.91/29.67 inference(avatar_split_clause,[],[f176,f130,f97])). 29.91/29.67 tff(f235,plain,( 29.91/29.67 spl6_14 | spl6_2 | ~spl6_10), 29.91/29.67 inference(avatar_split_clause,[],[f126,f97,f78,f110])). 29.91/29.67 tff(f236,plain,( 29.91/29.67 spl6_12 | spl6_2 | ~spl6_10), 29.91/29.67 inference(avatar_split_clause,[],[f125,f97,f78,f103])). 29.91/29.67 tff(f237,plain,( 29.91/29.67 ~spl6_1 | spl6_7), 29.91/29.67 inference(avatar_split_clause,[],[f123,f87,f68])). 29.91/29.67 tff(f238,plain,( 29.91/29.67 ~spl6_3 | spl6_11), 29.91/29.67 inference(avatar_split_clause,[],[f215,f106,f71])). 29.91/29.67 tff(f239,plain,( 29.91/29.67 spl6_8 | spl6_0 | ~spl6_6), 29.91/29.67 inference(avatar_split_clause,[],[f222,f116,f75,f91])). 29.91/29.67 tff(f240,plain,( 29.91/29.67 spl6_4 | spl6_0 | ~spl6_6), 29.91/29.67 inference(avatar_split_clause,[],[f221,f116,f75,f84])). 29.91/29.67 tff(f245,plain,( 29.91/29.67 ~minsol_model_max(sK0,sK1,sK2) | ~spl6_11), 29.91/29.67 inference(resolution,[],[f107,f62])). 29.91/29.67 tff(f247,plain,( 29.91/29.67 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_6), 29.91/29.67 inference(resolution,[],[f117,f63])). 29.91/29.67 tff(f248,plain,( 29.91/29.67 minsol_model_ub(sK0,sK1,sK2) | $less(sK5(sK0,sK1,sK2),sK2) | ~spl6_6), 29.91/29.67 inference(resolution,[],[f117,f64])). 29.91/29.67 tff(f254,plain,( 29.91/29.67 ( ! [X2:$int,X1:$int] : (~ub(sK0,sK1,X2) | ~$less(X1,sK2) | $less(X1,$sum(c,summation(X2)))) ) | ~spl6_0), 29.91/29.67 inference(resolution,[],[f113,f56])). 29.91/29.67 tff(f259,plain,( 29.91/29.67 ( ! [X0:$int] : (model_ub(sK0,sK1,X0) | $less(X0,$sum(c,summation(sK3(sK0,sK1,sK2))))) ) | ~spl6_44), 29.91/29.67 inference(resolution,[],[f232,f56])). 29.91/29.67 tff(f260,plain,( 29.91/29.67 ~$less(sK3(sK0,sK1,sK2),sK0) | ~spl6_44), 29.91/29.67 inference(resolution,[],[f232,f51])). 29.91/29.67 tff(f261,plain,( 29.91/29.67 ~$less(sK3(sK0,sK1,sK2),sK1) | ~spl6_44), 29.91/29.67 inference(resolution,[],[f232,f52])). 29.91/29.67 tff(f263,plain,( 29.91/29.67 spl6_47 <=> ~$less(sK3(sK0,sK1,sK2),sK0)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_47])])). 29.91/29.67 tff(f264,plain,( 29.91/29.67 ~$less(sK3(sK0,sK1,sK2),sK0) | ~spl6_47), 29.91/29.67 inference(avatar_component_clause,[],[f263])). 29.91/29.67 tff(f265,plain,( 29.91/29.67 ~spl6_47 | ~spl6_44), 29.91/29.67 inference(avatar_split_clause,[],[f260,f231,f263])). 29.91/29.67 tff(f267,plain,( 29.91/29.67 spl6_49 <=> ~$less(sK3(sK0,sK1,sK2),sK1)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_49])])). 29.91/29.67 tff(f268,plain,( 29.91/29.67 ~$less(sK3(sK0,sK1,sK2),sK1) | ~spl6_49), 29.91/29.67 inference(avatar_component_clause,[],[f267])). 29.91/29.67 tff(f269,plain,( 29.91/29.67 ~spl6_49 | ~spl6_44), 29.91/29.67 inference(avatar_split_clause,[],[f261,f231,f267])). 29.91/29.67 tff(f273,plain,( 29.91/29.67 ~model_max(sK0,sK1,sK2) | ~spl6_16), 29.91/29.67 inference(resolution,[],[f219,f58])). 29.91/29.67 tff(f278,plain,( 29.91/29.67 $less(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_16), 29.91/29.67 inference(resolution,[],[f219,f50])). 29.91/29.67 tff(f279,plain,( 29.91/29.67 $less(sK2,$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_16), 29.91/29.67 inference(superposition,[],[f219,f48])). 29.91/29.67 tff(f280,plain,( 29.91/29.67 $less(sK2,$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_16), 29.91/29.67 inference(superposition,[],[f219,f47])). 29.91/29.67 tff(f282,plain,( 29.91/29.67 spl6_28 <=> $less(summation(sK2),summation($sum(c,summation(max(sK0,sK1)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_28])])). 29.91/29.67 tff(f284,plain,( 29.91/29.67 spl6_28 | ~spl6_16), 29.91/29.67 inference(avatar_split_clause,[],[f278,f218,f282])). 29.91/29.67 tff(f286,plain,( 29.91/29.67 spl6_36 <=> $less(sK2,$sum(c,summation(sK1)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_36])])). 29.91/29.67 tff(f288,plain,( 29.91/29.67 spl6_34 | spl6_36 | ~spl6_16), 29.91/29.67 inference(avatar_split_clause,[],[f279,f218,f286,f198])). 29.91/29.67 tff(f290,plain,( 29.91/29.67 spl6_40 <=> $less(sK2,$sum(c,summation(sK0)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_40])])). 29.91/29.67 tff(f292,plain,( 29.91/29.67 spl6_38 | spl6_40 | ~spl6_16), 29.91/29.67 inference(avatar_split_clause,[],[f280,f218,f290,f205])). 29.91/29.67 tff(f293,plain,( 29.91/29.67 ( ! [X0:$int,X1:$int] : (~ub(X0,X1,sK3(sK0,sK1,sK2)) | model_ub(X0,X1,sK2)) ) | ~spl6_43), 29.91/29.67 inference(resolution,[],[f228,f56])). 29.91/29.67 tff(f296,plain,( 29.91/29.67 ~$less(summation(sK2),summation($sum(c,summation(sK3(sK0,sK1,sK2))))) | ~spl6_43), 29.91/29.67 inference(resolution,[],[f228,f49])). 29.91/29.67 tff(f297,plain,( 29.91/29.67 max($sum(c,summation(sK3(sK0,sK1,sK2))),sK2) = sK2 | ~spl6_43), 29.91/29.67 inference(resolution,[],[f228,f48])). 29.91/29.67 tff(f298,plain,( 29.91/29.67 max(sK2,$sum(c,summation(sK3(sK0,sK1,sK2)))) = sK2 | ~spl6_43), 29.91/29.67 inference(resolution,[],[f228,f47])). 29.91/29.67 tff(f300,plain,( 29.91/29.67 spl6_51 <=> ~$less(summation(sK2),summation($sum(c,summation(sK3(sK0,sK1,sK2)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_51])])). 29.91/29.67 tff(f301,plain,( 29.91/29.67 ~$less(summation(sK2),summation($sum(c,summation(sK3(sK0,sK1,sK2))))) | ~spl6_51), 29.91/29.67 inference(avatar_component_clause,[],[f300])). 29.91/29.67 tff(f302,plain,( 29.91/29.67 ~spl6_51 | spl6_43), 29.91/29.67 inference(avatar_split_clause,[],[f296,f227,f300])). 29.91/29.67 tff(f304,plain,( 29.91/29.67 spl6_52 <=> max($sum(c,summation(sK3(sK0,sK1,sK2))),sK2) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_52])])). 29.91/29.67 tff(f305,plain,( 29.91/29.67 max($sum(c,summation(sK3(sK0,sK1,sK2))),sK2) = sK2 | ~spl6_52), 29.91/29.67 inference(avatar_component_clause,[],[f304])). 29.91/29.67 tff(f306,plain,( 29.91/29.67 spl6_52 | spl6_43), 29.91/29.67 inference(avatar_split_clause,[],[f297,f227,f304])). 29.91/29.67 tff(f308,plain,( 29.91/29.67 spl6_54 <=> max(sK2,$sum(c,summation(sK3(sK0,sK1,sK2)))) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_54])])). 29.91/29.67 tff(f309,plain,( 29.91/29.67 max(sK2,$sum(c,summation(sK3(sK0,sK1,sK2)))) = sK2 | ~spl6_54), 29.91/29.67 inference(avatar_component_clause,[],[f308])). 29.91/29.67 tff(f310,plain,( 29.91/29.67 spl6_54 | spl6_43), 29.91/29.67 inference(avatar_split_clause,[],[f298,f227,f308])). 29.91/29.67 tff(f315,plain,( 29.91/29.67 $less(summation(sK0),summation(sK1)) | ~spl6_38), 29.91/29.67 inference(resolution,[],[f206,f50])). 29.91/29.67 tff(f317,plain,( 29.91/29.67 spl6_56 <=> $less(summation(sK0),summation(sK1))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_56])])). 29.91/29.67 tff(f318,plain,( 29.91/29.67 $less(summation(sK0),summation(sK1)) | ~spl6_56), 29.91/29.67 inference(avatar_component_clause,[],[f317])). 29.91/29.67 tff(f319,plain,( 29.91/29.67 spl6_56 | ~spl6_38), 29.91/29.67 inference(avatar_split_clause,[],[f315,f205,f317])). 29.91/29.67 tff(f321,plain,( 29.91/29.67 ( ! [X2:$int,X1:$int] : ($less(X1,$sum(c,summation(X2))) | ~$less(X1,sK2) | $less(X2,sK1) | $less(X2,sK0)) ) | ~spl6_0), 29.91/29.67 inference(resolution,[],[f254,f53])). 29.91/29.67 tff(f330,plain,( 29.91/29.67 ( ! [X0:$int] : (model_max(sK2,sK2,X0) | $less(X0,$sum(c,summation(sK2)))) ) | ~spl6_22), 29.91/29.67 inference(superposition,[],[f57,f152])). 29.91/29.67 tff(f331,plain,( 29.91/29.67 ( ! [X1:$int] : (~$less(X1,$sum(c,summation(sK2))) | ~model_max(sK2,sK2,X1)) ) | ~spl6_22), 29.91/29.67 inference(superposition,[],[f58,f152])). 29.91/29.67 tff(f334,plain,( 29.91/29.67 ~$less(summation(sK3(sK0,sK1,sK2)),summation(sK0)) | ~spl6_47), 29.91/29.67 inference(resolution,[],[f264,f49])). 29.91/29.67 tff(f335,plain,( 29.91/29.67 max(sK0,sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_47), 29.91/29.67 inference(resolution,[],[f264,f48])). 29.91/29.67 tff(f336,plain,( 29.91/29.67 max(sK3(sK0,sK1,sK2),sK0) = sK3(sK0,sK1,sK2) | ~spl6_47), 29.91/29.67 inference(resolution,[],[f264,f47])). 29.91/29.67 tff(f338,plain,( 29.91/29.67 spl6_59 <=> ~$less(summation(sK3(sK0,sK1,sK2)),summation(sK0))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_59])])). 29.91/29.67 tff(f339,plain,( 29.91/29.67 ~$less(summation(sK3(sK0,sK1,sK2)),summation(sK0)) | ~spl6_59), 29.91/29.67 inference(avatar_component_clause,[],[f338])). 29.91/29.67 tff(f340,plain,( 29.91/29.67 ~spl6_59 | spl6_47), 29.91/29.67 inference(avatar_split_clause,[],[f334,f263,f338])). 29.91/29.67 tff(f342,plain,( 29.91/29.67 spl6_60 <=> max(sK0,sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_60])])). 29.91/29.67 tff(f343,plain,( 29.91/29.67 max(sK0,sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_60), 29.91/29.67 inference(avatar_component_clause,[],[f342])). 29.91/29.67 tff(f344,plain,( 29.91/29.67 spl6_60 | spl6_47), 29.91/29.67 inference(avatar_split_clause,[],[f335,f263,f342])). 29.91/29.67 tff(f346,plain,( 29.91/29.67 spl6_62 <=> max(sK3(sK0,sK1,sK2),sK0) = sK3(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_62])])). 29.91/29.67 tff(f348,plain,( 29.91/29.67 spl6_62 | spl6_47), 29.91/29.67 inference(avatar_split_clause,[],[f336,f263,f346])). 29.91/29.67 tff(f349,plain,( 29.91/29.67 spl6_10 | spl6_17), 29.91/29.67 inference(avatar_split_clause,[],[f176,f130,f97])). 29.91/29.67 tff(f350,plain,( 29.91/29.67 spl6_14 | spl6_2 | ~spl6_10), 29.91/29.67 inference(avatar_split_clause,[],[f126,f97,f78,f110])). 29.91/29.67 tff(f351,plain,( 29.91/29.67 spl6_12 | spl6_2 | ~spl6_10), 29.91/29.67 inference(avatar_split_clause,[],[f125,f97,f78,f103])). 29.91/29.67 tff(f352,plain,( 29.91/29.67 ~spl6_1 | spl6_7), 29.91/29.67 inference(avatar_split_clause,[],[f123,f87,f68])). 29.91/29.67 tff(f353,plain,( 29.91/29.67 ~model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_1), 29.91/29.67 inference(resolution,[],[f69,f63])). 29.91/29.67 tff(f354,plain,( 29.91/29.67 ~model_ub(sK0,sK1,sK2) | $less(sK5(sK0,sK1,sK2),sK2) | ~spl6_1), 29.91/29.67 inference(resolution,[],[f69,f64])). 29.91/29.67 tff(f357,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,sK2) | ~spl6_7), 29.91/29.67 inference(resolution,[],[f88,f66])). 29.91/29.67 tff(f359,plain,( 29.91/29.67 minsol_model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_10), 29.91/29.67 inference(resolution,[],[f98,f59])). 29.91/29.67 tff(f360,plain,( 29.91/29.67 minsol_model_max(sK0,sK1,sK2) | $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_10), 29.91/29.67 inference(resolution,[],[f98,f60])). 29.91/29.67 tff(f367,plain,( 29.91/29.67 $less(summation(sK1),summation(sK0)) | ~spl6_34), 29.91/29.67 inference(resolution,[],[f199,f50])). 29.91/29.67 tff(f369,plain,( 29.91/29.67 spl6_64 <=> $less(summation(sK1),summation(sK0))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_64])])). 29.91/29.67 tff(f371,plain,( 29.91/29.67 spl6_64 | ~spl6_34), 29.91/29.67 inference(avatar_split_clause,[],[f367,f198,f369])). 29.91/29.67 tff(f373,plain,( 29.91/29.67 ~spl6_11 | ~spl6_16), 29.91/29.67 inference(avatar_split_clause,[],[f273,f218,f106])). 29.91/29.67 tff(f374,plain,( 29.91/29.67 ~spl6_3 | spl6_11), 29.91/29.67 inference(avatar_split_clause,[],[f245,f106,f71])). 29.91/29.67 tff(f375,plain,( 29.91/29.67 ~spl6_3 | spl6_11), 29.91/29.67 inference(avatar_split_clause,[],[f215,f106,f71])). 29.91/29.67 tff(f376,plain,( 29.91/29.67 spl6_8 | spl6_0 | ~spl6_6), 29.91/29.67 inference(avatar_split_clause,[],[f248,f116,f75,f91])). 29.91/29.67 tff(f377,plain,( 29.91/29.67 spl6_4 | spl6_0 | ~spl6_6), 29.91/29.67 inference(avatar_split_clause,[],[f247,f116,f75,f84])). 29.91/29.67 tff(f378,plain,( 29.91/29.67 spl6_8 | spl6_0 | ~spl6_6), 29.91/29.67 inference(avatar_split_clause,[],[f222,f116,f75,f91])). 29.91/29.67 tff(f379,plain,( 29.91/29.67 spl6_4 | spl6_0 | ~spl6_6), 29.91/29.67 inference(avatar_split_clause,[],[f221,f116,f75,f84])). 29.91/29.67 tff(f387,plain,( 29.91/29.67 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_6), 29.91/29.67 inference(resolution,[],[f117,f63])). 29.91/29.67 tff(f431,plain,( 29.91/29.67 ~$less(summation(sK2),summation($sum(c,summation(sK0)))) | ~spl6_41), 29.91/29.67 inference(resolution,[],[f209,f49])). 29.91/29.67 tff(f432,plain,( 29.91/29.67 max($sum(c,summation(sK0)),sK2) = sK2 | ~spl6_41), 29.91/29.67 inference(resolution,[],[f209,f48])). 29.91/29.67 tff(f433,plain,( 29.91/29.67 max(sK2,$sum(c,summation(sK0))) = sK2 | ~spl6_41), 29.91/29.67 inference(resolution,[],[f209,f47])). 29.91/29.67 tff(f435,plain,( 29.91/29.67 spl6_67 <=> ~$less(summation(sK2),summation($sum(c,summation(sK0))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_67])])). 29.91/29.67 tff(f436,plain,( 29.91/29.67 ~$less(summation(sK2),summation($sum(c,summation(sK0)))) | ~spl6_67), 29.91/29.67 inference(avatar_component_clause,[],[f435])). 29.91/29.67 tff(f437,plain,( 29.91/29.67 ~spl6_67 | spl6_41), 29.91/29.67 inference(avatar_split_clause,[],[f431,f208,f435])). 29.91/29.67 tff(f439,plain,( 29.91/29.67 spl6_68 <=> max($sum(c,summation(sK0)),sK2) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_68])])). 29.91/29.67 tff(f440,plain,( 29.91/29.67 max($sum(c,summation(sK0)),sK2) = sK2 | ~spl6_68), 29.91/29.67 inference(avatar_component_clause,[],[f439])). 29.91/29.67 tff(f441,plain,( 29.91/29.67 spl6_68 | spl6_41), 29.91/29.67 inference(avatar_split_clause,[],[f432,f208,f439])). 29.91/29.67 tff(f443,plain,( 29.91/29.67 spl6_70 <=> max(sK2,$sum(c,summation(sK0))) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_70])])). 29.91/29.67 tff(f445,plain,( 29.91/29.67 spl6_70 | spl6_41), 29.91/29.67 inference(avatar_split_clause,[],[f433,f208,f443])). 29.91/29.67 tff(f453,plain,( 29.91/29.67 ~$less(summation(sK3(sK0,sK1,sK2)),summation(sK1)) | ~spl6_49), 29.91/29.67 inference(resolution,[],[f268,f49])). 29.91/29.67 tff(f454,plain,( 29.91/29.67 max(sK1,sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_49), 29.91/29.67 inference(resolution,[],[f268,f48])). 29.91/29.67 tff(f455,plain,( 29.91/29.67 max(sK3(sK0,sK1,sK2),sK1) = sK3(sK0,sK1,sK2) | ~spl6_49), 29.91/29.67 inference(resolution,[],[f268,f47])). 29.91/29.67 tff(f457,plain,( 29.91/29.67 spl6_73 <=> ~$less(summation(sK3(sK0,sK1,sK2)),summation(sK1))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_73])])). 29.91/29.67 tff(f458,plain,( 29.91/29.67 ~$less(summation(sK3(sK0,sK1,sK2)),summation(sK1)) | ~spl6_73), 29.91/29.67 inference(avatar_component_clause,[],[f457])). 29.91/29.67 tff(f459,plain,( 29.91/29.67 ~spl6_73 | spl6_49), 29.91/29.67 inference(avatar_split_clause,[],[f453,f267,f457])). 29.91/29.67 tff(f461,plain,( 29.91/29.67 spl6_74 <=> max(sK1,sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_74])])). 29.91/29.67 tff(f462,plain,( 29.91/29.67 max(sK1,sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_74), 29.91/29.67 inference(avatar_component_clause,[],[f461])). 29.91/29.67 tff(f463,plain,( 29.91/29.67 spl6_74 | spl6_49), 29.91/29.67 inference(avatar_split_clause,[],[f454,f267,f461])). 29.91/29.67 tff(f465,plain,( 29.91/29.67 spl6_76 <=> max(sK3(sK0,sK1,sK2),sK1) = sK3(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_76])])). 29.91/29.67 tff(f467,plain,( 29.91/29.67 spl6_76 | spl6_49), 29.91/29.67 inference(avatar_split_clause,[],[f455,f267,f465])). 29.91/29.67 tff(f468,plain,( 29.91/29.67 spl6_10 | spl6_17), 29.91/29.67 inference(avatar_split_clause,[],[f176,f130,f97])). 29.91/29.67 tff(f469,plain,( 29.91/29.67 spl6_14 | spl6_2 | ~spl6_10), 29.91/29.67 inference(avatar_split_clause,[],[f360,f97,f78,f110])). 29.91/29.67 tff(f470,plain,( 29.91/29.67 spl6_12 | spl6_2 | ~spl6_10), 29.91/29.67 inference(avatar_split_clause,[],[f359,f97,f78,f103])). 29.91/29.67 tff(f471,plain,( 29.91/29.67 spl6_14 | spl6_2 | ~spl6_10), 29.91/29.67 inference(avatar_split_clause,[],[f126,f97,f78,f110])). 29.91/29.67 tff(f472,plain,( 29.91/29.67 spl6_12 | spl6_2 | ~spl6_10), 29.91/29.67 inference(avatar_split_clause,[],[f125,f97,f78,f103])). 29.91/29.67 tff(f473,plain,( 29.91/29.67 ~spl6_1 | spl6_7), 29.91/29.67 inference(avatar_split_clause,[],[f357,f87,f68])). 29.91/29.67 tff(f474,plain,( 29.91/29.67 ~spl6_1 | spl6_7), 29.91/29.67 inference(avatar_split_clause,[],[f123,f87,f68])). 29.91/29.67 tff(f475,plain,( 29.91/29.67 ~model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_1), 29.91/29.67 inference(resolution,[],[f69,f63])). 29.91/29.67 tff(f476,plain,( 29.91/29.67 ~model_ub(sK0,sK1,sK2) | $less(sK5(sK0,sK1,sK2),sK2) | ~spl6_1), 29.91/29.67 inference(resolution,[],[f69,f64])). 29.91/29.67 tff(f479,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,sK2) | ~spl6_7), 29.91/29.67 inference(resolution,[],[f88,f66])). 29.91/29.67 tff(f481,plain,( 29.91/29.67 minsol_model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_10), 29.91/29.67 inference(resolution,[],[f98,f59])). 29.91/29.67 tff(f482,plain,( 29.91/29.67 minsol_model_max(sK0,sK1,sK2) | $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_10), 29.91/29.67 inference(resolution,[],[f98,f60])). 29.91/29.67 tff(f504,plain,( 29.91/29.67 ( ! [X0:$int] : ($less(sK2,$sum(c,summation(X0))) | $less(X0,sK1) | $less(X0,sK0)) ) | ~spl6_7), 29.91/29.67 inference(resolution,[],[f124,f53])). 29.91/29.67 tff(f513,plain,( 29.91/29.67 ( ! [X0:$int] : ($less(X0,$sum(c,summation(sK1))) | ~$less(X0,sK2) | $less(sK1,sK0)) ) | ~spl6_2), 29.91/29.67 inference(superposition,[],[f135,f48])). 29.91/29.67 tff(f514,plain,( 29.91/29.67 ( ! [X1:$int] : ($less(X1,$sum(c,summation(sK0))) | ~$less(X1,sK2) | $less(sK0,sK1)) ) | ~spl6_2), 29.91/29.67 inference(superposition,[],[f135,f47])). 29.91/29.67 tff(f516,plain,( 29.91/29.67 spl6_78 <=> ! [X0 : $int] : ($less(X0,$sum(c,summation(sK1))) | ~$less(X0,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_78])])). 29.91/29.67 tff(f517,plain,( 29.91/29.67 ( ! [X0:$int] : ($less(X0,$sum(c,summation(sK1))) | ~$less(X0,sK2)) ) | ~spl6_78), 29.91/29.67 inference(avatar_component_clause,[],[f516])). 29.91/29.67 tff(f518,plain,( 29.91/29.67 spl6_34 | spl6_78 | ~spl6_2), 29.91/29.67 inference(avatar_split_clause,[],[f513,f78,f516,f198])). 29.91/29.67 tff(f531,plain,( 29.91/29.67 ~$less(summation(sK2),summation($sum(c,summation(sK1)))) | ~spl6_37), 29.91/29.67 inference(resolution,[],[f202,f49])). 29.91/29.67 tff(f532,plain,( 29.91/29.67 max($sum(c,summation(sK1)),sK2) = sK2 | ~spl6_37), 29.91/29.67 inference(resolution,[],[f202,f48])). 29.91/29.67 tff(f533,plain,( 29.91/29.67 max(sK2,$sum(c,summation(sK1))) = sK2 | ~spl6_37), 29.91/29.67 inference(resolution,[],[f202,f47])). 29.91/29.67 tff(f535,plain,( 29.91/29.67 spl6_81 <=> ~$less(summation(sK2),summation($sum(c,summation(sK1))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_81])])). 29.91/29.67 tff(f536,plain,( 29.91/29.67 ~$less(summation(sK2),summation($sum(c,summation(sK1)))) | ~spl6_81), 29.91/29.67 inference(avatar_component_clause,[],[f535])). 29.91/29.67 tff(f537,plain,( 29.91/29.67 ~spl6_81 | spl6_37), 29.91/29.67 inference(avatar_split_clause,[],[f531,f201,f535])). 29.91/29.67 tff(f539,plain,( 29.91/29.67 spl6_82 <=> max($sum(c,summation(sK1)),sK2) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_82])])). 29.91/29.67 tff(f541,plain,( 29.91/29.67 spl6_82 | spl6_37), 29.91/29.67 inference(avatar_split_clause,[],[f532,f201,f539])). 29.91/29.67 tff(f543,plain,( 29.91/29.67 spl6_84 <=> max(sK2,$sum(c,summation(sK1))) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_84])])). 29.91/29.67 tff(f545,plain,( 29.91/29.67 spl6_84 | spl6_37), 29.91/29.67 inference(avatar_split_clause,[],[f533,f201,f543])). 29.91/29.67 tff(f556,plain,( 29.91/29.67 ( ! [X10:$int] : ($less(summation(X10),summation($sum(c,summation(sK1)))) | ~$less(X10,sK2)) ) | ~spl6_78), 29.91/29.67 inference(resolution,[],[f517,f50])). 29.91/29.67 tff(f564,plain,( 29.91/29.67 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(max(sK0,sK1)))))) | ~spl6_29), 29.91/29.67 inference(resolution,[],[f187,f49])). 29.91/29.67 tff(f565,plain,( 29.91/29.67 summation(sK2) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2)) | ~spl6_29), 29.91/29.67 inference(resolution,[],[f187,f48])). 29.91/29.67 tff(f566,plain,( 29.91/29.67 summation(sK2) = max(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_29), 29.91/29.67 inference(resolution,[],[f187,f47])). 29.91/29.67 tff(f570,plain,( 29.91/29.67 spl6_87 <=> ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(max(sK0,sK1))))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_87])])). 29.91/29.67 tff(f572,plain,( 29.91/29.67 ~spl6_87 | spl6_29), 29.91/29.67 inference(avatar_split_clause,[],[f564,f186,f570])). 29.91/29.67 tff(f574,plain,( 29.91/29.67 spl6_88 <=> summation(sK2) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_88])])). 29.91/29.67 tff(f576,plain,( 29.91/29.67 spl6_88 | spl6_29), 29.91/29.67 inference(avatar_split_clause,[],[f565,f186,f574])). 29.91/29.67 tff(f578,plain,( 29.91/29.67 spl6_90 <=> summation(sK2) = max(summation(sK2),summation($sum(c,summation(max(sK0,sK1)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_90])])). 29.91/29.67 tff(f580,plain,( 29.91/29.67 spl6_90 | spl6_29), 29.91/29.67 inference(avatar_split_clause,[],[f566,f186,f578])). 29.91/29.67 tff(f583,plain,( 29.91/29.67 $sum(c,summation(max(sK0,sK1))) = sK2 | $less($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_30), 29.91/29.67 inference(superposition,[],[f191,f47])). 29.91/29.67 tff(f586,plain,( 29.91/29.67 $sum(c,summation(max(sK0,sK1))) = sK2 | $less($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_30), 29.91/29.67 inference(superposition,[],[f47,f191])). 29.91/29.67 tff(f588,plain,( 29.91/29.67 spl6_92 <=> $less($sum(c,summation(max(sK0,sK1))),sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_92])])). 29.91/29.67 tff(f589,plain,( 29.91/29.67 $less($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_92), 29.91/29.67 inference(avatar_component_clause,[],[f588])). 29.91/29.67 tff(f591,plain,( 29.91/29.67 spl6_94 <=> $sum(c,summation(max(sK0,sK1))) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_94])])). 29.91/29.67 tff(f593,plain,( 29.91/29.67 spl6_92 | spl6_94 | ~spl6_30), 29.91/29.67 inference(avatar_split_clause,[],[f583,f190,f591,f588])). 29.91/29.67 tff(f594,plain,( 29.91/29.67 spl6_92 | spl6_94 | ~spl6_30), 29.91/29.67 inference(avatar_split_clause,[],[f586,f190,f591,f588])). 29.91/29.67 tff(f608,plain,( 29.91/29.67 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK3(sK0,sK1,sK2)))))) | ~spl6_51), 29.91/29.67 inference(resolution,[],[f301,f49])). 29.91/29.67 tff(f609,plain,( 29.91/29.67 summation(sK2) = max(summation($sum(c,summation(sK3(sK0,sK1,sK2)))),summation(sK2)) | ~spl6_51), 29.91/29.67 inference(resolution,[],[f301,f48])). 29.91/29.67 tff(f610,plain,( 29.91/29.67 summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK3(sK0,sK1,sK2))))) | ~spl6_51), 29.91/29.67 inference(resolution,[],[f301,f47])). 29.91/29.67 tff(f612,plain,( 29.91/29.67 spl6_97 <=> ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK3(sK0,sK1,sK2))))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_97])])). 29.91/29.67 tff(f614,plain,( 29.91/29.67 ~spl6_97 | spl6_51), 29.91/29.67 inference(avatar_split_clause,[],[f608,f300,f612])). 29.91/29.67 tff(f616,plain,( 29.91/29.67 spl6_98 <=> summation(sK2) = max(summation($sum(c,summation(sK3(sK0,sK1,sK2)))),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_98])])). 29.91/29.67 tff(f618,plain,( 29.91/29.67 spl6_98 | spl6_51), 29.91/29.67 inference(avatar_split_clause,[],[f609,f300,f616])). 29.91/29.67 tff(f620,plain,( 29.91/29.67 spl6_100 <=> summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK3(sK0,sK1,sK2)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_100])])). 29.91/29.67 tff(f622,plain,( 29.91/29.67 spl6_100 | spl6_51), 29.91/29.67 inference(avatar_split_clause,[],[f610,f300,f620])). 29.91/29.67 tff(f623,plain,( 29.91/29.67 $sum(c,summation(sK3(sK0,sK1,sK2))) = sK2 | $less($sum(c,summation(sK3(sK0,sK1,sK2))),sK2) | ~spl6_52), 29.91/29.67 inference(superposition,[],[f305,f47])). 29.91/29.67 tff(f626,plain,( 29.91/29.67 $sum(c,summation(sK3(sK0,sK1,sK2))) = sK2 | $less($sum(c,summation(sK3(sK0,sK1,sK2))),sK2) | ~spl6_52), 29.91/29.67 inference(superposition,[],[f47,f305])). 29.91/29.67 tff(f628,plain,( 29.91/29.67 spl6_102 <=> $less($sum(c,summation(sK3(sK0,sK1,sK2))),sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_102])])). 29.91/29.67 tff(f631,plain,( 29.91/29.67 spl6_104 <=> $sum(c,summation(sK3(sK0,sK1,sK2))) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_104])])). 29.91/29.67 tff(f632,plain,( 29.91/29.67 $sum(c,summation(sK3(sK0,sK1,sK2))) = sK2 | ~spl6_104), 29.91/29.67 inference(avatar_component_clause,[],[f631])). 29.91/29.67 tff(f633,plain,( 29.91/29.67 spl6_102 | spl6_104 | ~spl6_52), 29.91/29.67 inference(avatar_split_clause,[],[f623,f304,f631,f628])). 29.91/29.67 tff(f634,plain,( 29.91/29.67 spl6_102 | spl6_104 | ~spl6_52), 29.91/29.67 inference(avatar_split_clause,[],[f626,f304,f631,f628])). 29.91/29.67 tff(f651,plain,( 29.91/29.67 $less(max(sK0,sK1),sK1) | $less(max(sK0,sK1),sK0) | (~spl6_7 | ~spl6_17)), 29.91/29.67 inference(resolution,[],[f504,f131])). 29.91/29.67 tff(f652,plain,( 29.91/29.67 $less(sK0,sK1) | $less(sK0,sK0) | (~spl6_7 | ~spl6_41)), 29.91/29.67 inference(resolution,[],[f504,f209])). 29.91/29.67 tff(f653,plain,( 29.91/29.67 $less(sK1,sK1) | $less(sK1,sK0) | (~spl6_7 | ~spl6_37)), 29.91/29.67 inference(resolution,[],[f504,f202])). 29.91/29.67 tff(f654,plain,( 29.91/29.67 $less(sK3(sK0,sK1,sK2),sK1) | $less(sK3(sK0,sK1,sK2),sK0) | (~spl6_7 | ~spl6_43)), 29.91/29.67 inference(resolution,[],[f504,f228])). 29.91/29.67 tff(f663,plain,( 29.91/29.67 spl6_106 <=> $less(max(sK0,sK1),sK0)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_106])])). 29.91/29.67 tff(f666,plain,( 29.91/29.67 spl6_108 <=> $less(max(sK0,sK1),sK1)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_108])])). 29.91/29.67 tff(f668,plain,( 29.91/29.67 spl6_106 | spl6_108 | spl6_7 | spl6_17), 29.91/29.67 inference(avatar_split_clause,[],[f651,f130,f87,f666,f663])). 29.91/29.67 tff(f670,plain,( 29.91/29.67 spl6_110 <=> $less(sK1,sK1)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_110])])). 29.91/29.67 tff(f672,plain,( 29.91/29.67 spl6_34 | spl6_110 | spl6_7 | spl6_37), 29.91/29.67 inference(avatar_split_clause,[],[f653,f201,f87,f670,f198])). 29.91/29.67 tff(f674,plain,( 29.91/29.67 spl6_46 <=> $less(sK3(sK0,sK1,sK2),sK0)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_46])])). 29.91/29.67 tff(f677,plain,( 29.91/29.67 spl6_48 <=> $less(sK3(sK0,sK1,sK2),sK1)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_48])])). 29.91/29.67 tff(f679,plain,( 29.91/29.67 spl6_46 | spl6_48 | spl6_7 | spl6_43), 29.91/29.67 inference(avatar_split_clause,[],[f654,f227,f87,f677,f674])). 29.91/29.67 tff(f680,plain,( 29.91/29.67 spl6_8 | ~spl6_7 | spl6_1), 29.91/29.67 inference(avatar_split_clause,[],[f476,f68,f87,f91])). 29.91/29.67 tff(f681,plain,( 29.91/29.67 spl6_4 | ~spl6_7 | spl6_1), 29.91/29.67 inference(avatar_split_clause,[],[f475,f68,f87,f84])). 29.91/29.67 tff(f682,plain,( 29.91/29.67 spl6_4 | ~spl6_7 | spl6_1), 29.91/29.67 inference(avatar_split_clause,[],[f81,f68,f87,f84])). 29.91/29.67 tff(f683,plain,( 29.91/29.67 spl6_8 | ~spl6_7 | spl6_1), 29.91/29.67 inference(avatar_split_clause,[],[f82,f68,f87,f91])). 29.91/29.67 tff(f684,plain,( 29.91/29.67 spl6_4 | ~spl6_7 | spl6_1), 29.91/29.67 inference(avatar_split_clause,[],[f119,f68,f87,f84])). 29.91/29.67 tff(f685,plain,( 29.91/29.67 spl6_8 | ~spl6_7 | spl6_1), 29.91/29.67 inference(avatar_split_clause,[],[f120,f68,f87,f91])). 29.91/29.67 tff(f686,plain,( 29.91/29.67 spl6_4 | ~spl6_7 | spl6_1), 29.91/29.67 inference(avatar_split_clause,[],[f353,f68,f87,f84])). 29.91/29.67 tff(f687,plain,( 29.91/29.67 spl6_8 | ~spl6_7 | spl6_1), 29.91/29.67 inference(avatar_split_clause,[],[f354,f68,f87,f91])). 29.91/29.67 tff(f688,plain,( 29.91/29.67 ( ! [X0:$int] : (model_ub(sK0,sK1,X0) | $less(X0,sK2)) ) | (~spl6_44 | ~spl6_104)), 29.91/29.67 inference(forward_demodulation,[],[f259,f632])). 29.91/29.67 tff(f689,plain,( 29.91/29.67 spl6_4 | spl6_0 | ~spl6_6), 29.91/29.67 inference(avatar_split_clause,[],[f387,f116,f75,f84])). 29.91/29.67 tff(f690,plain,( 29.91/29.67 spl6_4 | spl6_0 | ~spl6_6), 29.91/29.67 inference(avatar_split_clause,[],[f247,f116,f75,f84])). 29.91/29.67 tff(f691,plain,( 29.91/29.67 spl6_4 | spl6_0 | ~spl6_6), 29.91/29.67 inference(avatar_split_clause,[],[f221,f116,f75,f84])). 29.91/29.67 tff(f692,plain,( 29.91/29.67 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_6), 29.91/29.67 inference(resolution,[],[f117,f63])). 29.91/29.67 tff(f702,plain,( 29.91/29.67 $less(summation(summation(sK0)),summation(summation(sK1))) | ~spl6_56), 29.91/29.67 inference(resolution,[],[f318,f50])). 29.91/29.67 tff(f704,plain,( 29.91/29.67 spl6_112 <=> $less(summation(summation(sK0)),summation(summation(sK1)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_112])])). 29.91/29.67 tff(f706,plain,( 29.91/29.67 spl6_112 | ~spl6_56), 29.91/29.67 inference(avatar_split_clause,[],[f702,f317,f704])). 29.91/29.67 tff(f708,plain,( 29.91/29.67 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,sK5(sK0,sK1,sK2)) | ~minsol_model_max(X2,X3,sK2)) ) | ~spl6_8), 29.91/29.67 inference(resolution,[],[f92,f61])). 29.91/29.67 tff(f711,plain,( 29.91/29.67 $less(summation(sK5(sK0,sK1,sK2)),summation(sK2)) | ~spl6_8), 29.91/29.67 inference(resolution,[],[f92,f50])). 29.91/29.67 tff(f713,plain,( 29.91/29.67 spl6_114 <=> $less(summation(sK5(sK0,sK1,sK2)),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_114])])). 29.91/29.67 tff(f714,plain,( 29.91/29.67 $less(summation(sK5(sK0,sK1,sK2)),summation(sK2)) | ~spl6_114), 29.91/29.67 inference(avatar_component_clause,[],[f713])). 29.91/29.67 tff(f715,plain,( 29.91/29.67 spl6_114 | ~spl6_8), 29.91/29.67 inference(avatar_split_clause,[],[f711,f91,f713])). 29.91/29.67 tff(f716,plain,( 29.91/29.67 minsol_model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | model_ub(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | ~spl6_4), 29.91/29.67 inference(resolution,[],[f85,f63])). 29.91/29.67 tff(f717,plain,( 29.91/29.67 minsol_model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | $less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),sK5(sK0,sK1,sK2)) | ~spl6_4), 29.91/29.67 inference(resolution,[],[f85,f64])). 29.91/29.67 tff(f718,plain,( 29.91/29.67 ( ! [X0:$int] : (~$less(sK5(sK0,sK1,sK2),X0) | ~minsol_model_ub(sK0,sK1,X0)) ) | ~spl6_4), 29.91/29.67 inference(resolution,[],[f85,f65])). 29.91/29.67 tff(f719,plain,( 29.91/29.67 ~$less(sK5(sK0,sK1,sK2),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))))) | ~spl6_4), 29.91/29.67 inference(resolution,[],[f85,f54])). 29.91/29.67 tff(f720,plain,( 29.91/29.67 ub(sK0,sK1,sK3(sK0,sK1,sK5(sK0,sK1,sK2))) | ~spl6_4), 29.91/29.67 inference(resolution,[],[f85,f55])). 29.91/29.67 tff(f722,plain,( 29.91/29.67 spl6_116 <=> model_ub(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_116])])). 29.91/29.67 tff(f723,plain,( 29.91/29.67 model_ub(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | ~spl6_116), 29.91/29.67 inference(avatar_component_clause,[],[f722])). 29.91/29.67 tff(f725,plain,( 29.91/29.67 spl6_118 <=> minsol_model_ub(sK0,sK1,sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_118])])). 29.91/29.67 tff(f726,plain,( 29.91/29.67 minsol_model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_118), 29.91/29.67 inference(avatar_component_clause,[],[f725])). 29.91/29.67 tff(f727,plain,( 29.91/29.67 spl6_116 | spl6_118 | ~spl6_4), 29.91/29.67 inference(avatar_split_clause,[],[f716,f84,f725,f722])). 29.91/29.67 tff(f729,plain,( 29.91/29.67 spl6_120 <=> $less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_120])])). 29.91/29.67 tff(f730,plain,( 29.91/29.67 $less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),sK5(sK0,sK1,sK2)) | ~spl6_120), 29.91/29.67 inference(avatar_component_clause,[],[f729])). 29.91/29.67 tff(f731,plain,( 29.91/29.67 spl6_120 | spl6_118 | ~spl6_4), 29.91/29.67 inference(avatar_split_clause,[],[f717,f84,f725,f729])). 29.91/29.67 tff(f733,plain,( 29.91/29.67 spl6_123 <=> ~$less(sK5(sK0,sK1,sK2),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_123])])). 29.91/29.67 tff(f734,plain,( 29.91/29.67 ~$less(sK5(sK0,sK1,sK2),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))))) | ~spl6_123), 29.91/29.67 inference(avatar_component_clause,[],[f733])). 29.91/29.67 tff(f735,plain,( 29.91/29.67 ~spl6_123 | ~spl6_4), 29.91/29.67 inference(avatar_split_clause,[],[f719,f84,f733])). 29.91/29.67 tff(f737,plain,( 29.91/29.67 spl6_124 <=> ub(sK0,sK1,sK3(sK0,sK1,sK5(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_124])])). 29.91/29.67 tff(f738,plain,( 29.91/29.67 ub(sK0,sK1,sK3(sK0,sK1,sK5(sK0,sK1,sK2))) | ~spl6_124), 29.91/29.67 inference(avatar_component_clause,[],[f737])). 29.91/29.67 tff(f739,plain,( 29.91/29.67 spl6_124 | ~spl6_4), 29.91/29.67 inference(avatar_split_clause,[],[f720,f84,f737])). 29.91/29.67 tff(f742,plain,( 29.91/29.67 model_ub(sK0,sK1,sK2) | (~spl6_43 | ~spl6_44)), 29.91/29.67 inference(resolution,[],[f232,f293])). 29.91/29.67 tff(f743,plain,( 29.91/29.67 ( ! [X0:$int] : (model_ub(sK0,sK1,X0) | $less(X0,$sum(c,summation(sK3(sK0,sK1,sK2))))) ) | ~spl6_44), 29.91/29.67 inference(resolution,[],[f232,f56])). 29.91/29.67 tff(f751,plain,( 29.91/29.67 ~$less(sK2,sK5(sK0,sK1,sK2)) | (~spl6_6 | ~spl6_118)), 29.91/29.67 inference(resolution,[],[f726,f223])). 29.91/29.67 tff(f753,plain,( 29.91/29.67 model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_118), 29.91/29.67 inference(resolution,[],[f726,f66])). 29.91/29.67 tff(f755,plain,( 29.91/29.67 spl6_127 <=> ~$less(sK2,sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_127])])). 29.91/29.67 tff(f756,plain,( 29.91/29.67 ~$less(sK2,sK5(sK0,sK1,sK2)) | ~spl6_127), 29.91/29.67 inference(avatar_component_clause,[],[f755])). 29.91/29.67 tff(f757,plain,( 29.91/29.67 ~spl6_127 | ~spl6_6 | ~spl6_118), 29.91/29.67 inference(avatar_split_clause,[],[f751,f725,f116,f755])). 29.91/29.67 tff(f759,plain,( 29.91/29.67 ( ! [X0:$int,X1:$int] : (~model_ub(X0,X1,summation(sK5(sK0,sK1,sK2))) | ~minsol_model_ub(X0,X1,summation(sK2))) ) | ~spl6_114), 29.91/29.67 inference(resolution,[],[f714,f65])). 29.91/29.67 tff(f760,plain,( 29.91/29.67 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,summation(sK5(sK0,sK1,sK2))) | ~minsol_model_max(X2,X3,summation(sK2))) ) | ~spl6_114), 29.91/29.67 inference(resolution,[],[f714,f61])). 29.91/29.67 tff(f763,plain,( 29.91/29.67 $less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_114), 29.91/29.67 inference(resolution,[],[f714,f50])). 29.91/29.67 tff(f765,plain,( 29.91/29.67 spl6_128 <=> $less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_128])])). 29.91/29.67 tff(f766,plain,( 29.91/29.67 $less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_128), 29.91/29.67 inference(avatar_component_clause,[],[f765])). 29.91/29.67 tff(f767,plain,( 29.91/29.67 spl6_128 | ~spl6_114), 29.91/29.67 inference(avatar_split_clause,[],[f763,f713,f765])). 29.91/29.67 tff(f770,plain,( 29.91/29.67 ~$less(summation(sK2),summation(sK5(sK0,sK1,sK2))) | ~spl6_127), 29.91/29.67 inference(resolution,[],[f756,f49])). 29.91/29.67 tff(f771,plain,( 29.91/29.67 max(sK5(sK0,sK1,sK2),sK2) = sK2 | ~spl6_127), 29.91/29.67 inference(resolution,[],[f756,f48])). 29.91/29.67 tff(f772,plain,( 29.91/29.67 max(sK2,sK5(sK0,sK1,sK2)) = sK2 | ~spl6_127), 29.91/29.67 inference(resolution,[],[f756,f47])). 29.91/29.67 tff(f774,plain,( 29.91/29.67 spl6_131 <=> ~$less(summation(sK2),summation(sK5(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_131])])). 29.91/29.67 tff(f775,plain,( 29.91/29.67 ~$less(summation(sK2),summation(sK5(sK0,sK1,sK2))) | ~spl6_131), 29.91/29.67 inference(avatar_component_clause,[],[f774])). 29.91/29.67 tff(f776,plain,( 29.91/29.67 ~spl6_131 | spl6_127), 29.91/29.67 inference(avatar_split_clause,[],[f770,f755,f774])). 29.91/29.67 tff(f778,plain,( 29.91/29.67 spl6_132 <=> max(sK5(sK0,sK1,sK2),sK2) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_132])])). 29.91/29.67 tff(f780,plain,( 29.91/29.67 spl6_132 | spl6_127), 29.91/29.67 inference(avatar_split_clause,[],[f771,f755,f778])). 29.91/29.67 tff(f782,plain,( 29.91/29.67 spl6_134 <=> max(sK2,sK5(sK0,sK1,sK2)) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_134])])). 29.91/29.67 tff(f784,plain,( 29.91/29.67 spl6_134 | spl6_127), 29.91/29.67 inference(avatar_split_clause,[],[f772,f755,f782])). 29.91/29.67 tff(f790,plain,( 29.91/29.67 ( ! [X5:$int] : (~minsol_model_ub(sK0,sK1,X5) | max(X5,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2)) ) | ~spl6_4), 29.91/29.67 inference(resolution,[],[f718,f48])). 29.91/29.67 tff(f791,plain,( 29.91/29.67 ( ! [X6:$int] : (~minsol_model_ub(sK0,sK1,X6) | max(sK5(sK0,sK1,sK2),X6) = sK5(sK0,sK1,sK2)) ) | ~spl6_4), 29.91/29.67 inference(resolution,[],[f718,f47])). 29.91/29.67 tff(f793,plain,( 29.91/29.67 ( ! [X10:$int,X11:$int] : (~minsol_model_ub(sK0,sK1,$sum(c,summation(max(X10,X11)))) | model_max(X10,X11,sK5(sK0,sK1,sK2))) ) | ~spl6_4), 29.91/29.67 inference(resolution,[],[f718,f57])). 29.91/29.67 tff(f794,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1)))) | ~$less(sK5(sK0,sK1,sK2),sK2) | (~spl6_2 | ~spl6_4)), 29.91/29.67 inference(resolution,[],[f718,f135])). 29.91/29.67 tff(f795,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK1))) | ~$less(sK5(sK0,sK1,sK2),sK2) | (~spl6_4 | ~spl6_78)), 29.91/29.67 inference(resolution,[],[f718,f517])). 29.91/29.67 tff(f797,plain,( 29.91/29.67 spl6_9 <=> ~$less(sK5(sK0,sK1,sK2),sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_9])])). 29.91/29.67 tff(f800,plain,( 29.91/29.67 spl6_137 <=> ~minsol_model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_137])])). 29.91/29.67 tff(f801,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1)))) | ~spl6_137), 29.91/29.67 inference(avatar_component_clause,[],[f800])). 29.91/29.67 tff(f802,plain,( 29.91/29.67 ~spl6_9 | ~spl6_137 | ~spl6_2 | ~spl6_4), 29.91/29.67 inference(avatar_split_clause,[],[f794,f84,f78,f800,f797])). 29.91/29.67 tff(f804,plain,( 29.91/29.67 spl6_139 <=> ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK1)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_139])])). 29.91/29.67 tff(f805,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK1))) | ~spl6_139), 29.91/29.67 inference(avatar_component_clause,[],[f804])). 29.91/29.67 tff(f806,plain,( 29.91/29.67 ~spl6_9 | ~spl6_139 | ~spl6_4 | ~spl6_78), 29.91/29.67 inference(avatar_split_clause,[],[f795,f516,f84,f804,f797])). 29.91/29.67 tff(f807,plain,( 29.91/29.67 ( ! [X0:$int] : (model_ub(sK0,sK1,X0) | $less(X0,$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))))) ) | ~spl6_124), 29.91/29.67 inference(resolution,[],[f738,f56])). 29.91/29.67 tff(f808,plain,( 29.91/29.67 ~$less(sK3(sK0,sK1,sK5(sK0,sK1,sK2)),sK0) | ~spl6_124), 29.91/29.67 inference(resolution,[],[f738,f51])). 29.91/29.67 tff(f809,plain,( 29.91/29.67 ~$less(sK3(sK0,sK1,sK5(sK0,sK1,sK2)),sK1) | ~spl6_124), 29.91/29.67 inference(resolution,[],[f738,f52])). 29.91/29.67 tff(f811,plain,( 29.91/29.67 spl6_141 <=> ~$less(sK3(sK0,sK1,sK5(sK0,sK1,sK2)),sK0)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_141])])). 29.91/29.67 tff(f812,plain,( 29.91/29.67 ~$less(sK3(sK0,sK1,sK5(sK0,sK1,sK2)),sK0) | ~spl6_141), 29.91/29.67 inference(avatar_component_clause,[],[f811])). 29.91/29.67 tff(f813,plain,( 29.91/29.67 ~spl6_141 | ~spl6_124), 29.91/29.67 inference(avatar_split_clause,[],[f808,f737,f811])). 29.91/29.67 tff(f815,plain,( 29.91/29.67 spl6_143 <=> ~$less(sK3(sK0,sK1,sK5(sK0,sK1,sK2)),sK1)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_143])])). 29.91/29.67 tff(f816,plain,( 29.91/29.67 ~$less(sK3(sK0,sK1,sK5(sK0,sK1,sK2)),sK1) | ~spl6_143), 29.91/29.67 inference(avatar_component_clause,[],[f815])). 29.91/29.67 tff(f817,plain,( 29.91/29.67 ~spl6_143 | ~spl6_124), 29.91/29.67 inference(avatar_split_clause,[],[f809,f737,f815])). 29.91/29.67 tff(f823,plain,( 29.91/29.67 ( ! [X2:$int,X3:$int] : (~minsol_model_max(X2,X3,sK2) | $less(sK5(sK0,sK1,sK2),$sum(c,summation(max(X2,X3))))) ) | ~spl6_8), 29.91/29.67 inference(resolution,[],[f708,f57])). 29.91/29.67 tff(f825,plain,( 29.91/29.67 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | ~minsol_model_max(X2,X3,sK5(sK0,sK1,sK2))) ) | ~spl6_120), 29.91/29.67 inference(resolution,[],[f730,f61])). 29.91/29.67 tff(f828,plain,( 29.91/29.67 $less(summation(sK5(sK0,sK1,sK5(sK0,sK1,sK2))),summation(sK5(sK0,sK1,sK2))) | ~spl6_120), 29.91/29.67 inference(resolution,[],[f730,f50])). 29.91/29.67 tff(f830,plain,( 29.91/29.67 spl6_144 <=> $less(summation(sK5(sK0,sK1,sK5(sK0,sK1,sK2))),summation(sK5(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_144])])). 29.91/29.67 tff(f831,plain,( 29.91/29.67 $less(summation(sK5(sK0,sK1,sK5(sK0,sK1,sK2))),summation(sK5(sK0,sK1,sK2))) | ~spl6_144), 29.91/29.67 inference(avatar_component_clause,[],[f830])). 29.91/29.67 tff(f832,plain,( 29.91/29.67 spl6_144 | ~spl6_120), 29.91/29.67 inference(avatar_split_clause,[],[f828,f729,f830])). 29.91/29.67 tff(f836,plain,( 29.91/29.67 ~$less(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))))) | ~spl6_123), 29.91/29.67 inference(resolution,[],[f734,f49])). 29.91/29.67 tff(f837,plain,( 29.91/29.67 max($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))),sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) | ~spl6_123), 29.91/29.67 inference(resolution,[],[f734,f48])). 29.91/29.67 tff(f838,plain,( 29.91/29.67 max(sK5(sK0,sK1,sK2),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))))) = sK5(sK0,sK1,sK2) | ~spl6_123), 29.91/29.67 inference(resolution,[],[f734,f47])). 29.91/29.67 tff(f840,plain,( 29.91/29.67 spl6_147 <=> ~$less(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_147])])). 29.91/29.67 tff(f841,plain,( 29.91/29.67 ~$less(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))))) | ~spl6_147), 29.91/29.67 inference(avatar_component_clause,[],[f840])). 29.91/29.67 tff(f842,plain,( 29.91/29.67 ~spl6_147 | spl6_123), 29.91/29.67 inference(avatar_split_clause,[],[f836,f733,f840])). 29.91/29.67 tff(f844,plain,( 29.91/29.67 spl6_148 <=> max($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))),sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_148])])). 29.91/29.67 tff(f845,plain,( 29.91/29.67 max($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))),sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) | ~spl6_148), 29.91/29.67 inference(avatar_component_clause,[],[f844])). 29.91/29.67 tff(f846,plain,( 29.91/29.67 spl6_148 | spl6_123), 29.91/29.67 inference(avatar_split_clause,[],[f837,f733,f844])). 29.91/29.67 tff(f848,plain,( 29.91/29.67 spl6_150 <=> max(sK5(sK0,sK1,sK2),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))))) = sK5(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_150])])). 29.91/29.67 tff(f850,plain,( 29.91/29.67 spl6_150 | spl6_123), 29.91/29.67 inference(avatar_split_clause,[],[f838,f733,f848])). 29.91/29.67 tff(f863,plain,( 29.91/29.67 ~model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1)))) | model_ub(sK0,sK1,sK5(sK0,sK1,$sum(c,summation(max(sK0,sK1))))) | ~spl6_137), 29.91/29.67 inference(resolution,[],[f801,f63])). 29.91/29.67 tff(f864,plain,( 29.91/29.67 ~model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1)))) | $less(sK5(sK0,sK1,$sum(c,summation(max(sK0,sK1)))),$sum(c,summation(max(sK0,sK1)))) | ~spl6_137), 29.91/29.67 inference(resolution,[],[f801,f64])). 29.91/29.67 tff(f866,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_137), 29.91/29.67 inference(superposition,[],[f801,f47])). 29.91/29.67 tff(f868,plain,( 29.91/29.67 spl6_152 <=> model_ub(sK0,sK1,sK5(sK0,sK1,$sum(c,summation(max(sK0,sK1)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_152])])). 29.91/29.67 tff(f871,plain,( 29.91/29.67 spl6_155 <=> ~model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_155])])). 29.91/29.67 tff(f872,plain,( 29.91/29.67 ~model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1)))) | ~spl6_155), 29.91/29.67 inference(avatar_component_clause,[],[f871])). 29.91/29.67 tff(f873,plain,( 29.91/29.67 spl6_152 | ~spl6_155 | spl6_137), 29.91/29.67 inference(avatar_split_clause,[],[f863,f800,f871,f868])). 29.91/29.67 tff(f875,plain,( 29.91/29.67 spl6_156 <=> $less(sK5(sK0,sK1,$sum(c,summation(max(sK0,sK1)))),$sum(c,summation(max(sK0,sK1))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_156])])). 29.91/29.67 tff(f877,plain,( 29.91/29.67 spl6_156 | ~spl6_155 | spl6_137), 29.91/29.67 inference(avatar_split_clause,[],[f864,f800,f871,f875])). 29.91/29.67 tff(f880,plain,( 29.91/29.67 ~$less(summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))),summation(sK0)) | ~spl6_141), 29.91/29.67 inference(resolution,[],[f812,f49])). 29.91/29.67 tff(f881,plain,( 29.91/29.67 max(sK0,sK3(sK0,sK1,sK5(sK0,sK1,sK2))) = sK3(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_141), 29.91/29.67 inference(resolution,[],[f812,f48])). 29.91/29.67 tff(f882,plain,( 29.91/29.67 max(sK3(sK0,sK1,sK5(sK0,sK1,sK2)),sK0) = sK3(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_141), 29.91/29.67 inference(resolution,[],[f812,f47])). 29.91/29.67 tff(f884,plain,( 29.91/29.67 spl6_159 <=> ~$less(summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))),summation(sK0))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_159])])). 29.91/29.67 tff(f885,plain,( 29.91/29.67 ~$less(summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))),summation(sK0)) | ~spl6_159), 29.91/29.67 inference(avatar_component_clause,[],[f884])). 29.91/29.67 tff(f886,plain,( 29.91/29.67 ~spl6_159 | spl6_141), 29.91/29.67 inference(avatar_split_clause,[],[f880,f811,f884])). 29.91/29.67 tff(f888,plain,( 29.91/29.67 spl6_160 <=> max(sK0,sK3(sK0,sK1,sK5(sK0,sK1,sK2))) = sK3(sK0,sK1,sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_160])])). 29.91/29.67 tff(f890,plain,( 29.91/29.67 spl6_160 | spl6_141), 29.91/29.67 inference(avatar_split_clause,[],[f881,f811,f888])). 29.91/29.67 tff(f892,plain,( 29.91/29.67 spl6_162 <=> max(sK3(sK0,sK1,sK5(sK0,sK1,sK2)),sK0) = sK3(sK0,sK1,sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_162])])). 29.91/29.67 tff(f894,plain,( 29.91/29.67 spl6_162 | spl6_141), 29.91/29.67 inference(avatar_split_clause,[],[f882,f811,f892])). 29.91/29.67 tff(f897,plain,( 29.91/29.67 ~$less(summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))),summation(sK1)) | ~spl6_143), 29.91/29.67 inference(resolution,[],[f816,f49])). 29.91/29.67 tff(f898,plain,( 29.91/29.67 max(sK1,sK3(sK0,sK1,sK5(sK0,sK1,sK2))) = sK3(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_143), 29.91/29.67 inference(resolution,[],[f816,f48])). 29.91/29.67 tff(f899,plain,( 29.91/29.67 max(sK3(sK0,sK1,sK5(sK0,sK1,sK2)),sK1) = sK3(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_143), 29.91/29.67 inference(resolution,[],[f816,f47])). 29.91/29.67 tff(f901,plain,( 29.91/29.67 spl6_165 <=> ~$less(summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))),summation(sK1))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_165])])). 29.91/29.67 tff(f902,plain,( 29.91/29.67 ~$less(summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))),summation(sK1)) | ~spl6_165), 29.91/29.67 inference(avatar_component_clause,[],[f901])). 29.91/29.67 tff(f903,plain,( 29.91/29.67 ~spl6_165 | spl6_143), 29.91/29.67 inference(avatar_split_clause,[],[f897,f815,f901])). 29.91/29.67 tff(f905,plain,( 29.91/29.67 spl6_166 <=> max(sK1,sK3(sK0,sK1,sK5(sK0,sK1,sK2))) = sK3(sK0,sK1,sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_166])])). 29.91/29.67 tff(f907,plain,( 29.91/29.67 spl6_166 | spl6_143), 29.91/29.67 inference(avatar_split_clause,[],[f898,f815,f905])). 29.91/29.67 tff(f909,plain,( 29.91/29.67 spl6_168 <=> max(sK3(sK0,sK1,sK5(sK0,sK1,sK2)),sK1) = sK3(sK0,sK1,sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_168])])). 29.91/29.67 tff(f911,plain,( 29.91/29.67 spl6_168 | spl6_143), 29.91/29.67 inference(avatar_split_clause,[],[f899,f815,f909])). 29.91/29.67 tff(f914,plain,( 29.91/29.67 spl6_14 | spl6_2 | ~spl6_10), 29.91/29.67 inference(avatar_split_clause,[],[f482,f97,f78,f110])). 29.91/29.67 tff(f915,plain,( 29.91/29.67 spl6_12 | spl6_2 | ~spl6_10), 29.91/29.67 inference(avatar_split_clause,[],[f481,f97,f78,f103])). 29.91/29.67 tff(f916,plain,( 29.91/29.67 spl6_4 | ~spl6_118), 29.91/29.67 inference(avatar_split_clause,[],[f753,f725,f84])). 29.91/29.67 tff(f917,plain,( 29.91/29.67 spl6_4 | spl6_0 | ~spl6_6), 29.91/29.67 inference(avatar_split_clause,[],[f692,f116,f75,f84])). 29.91/29.67 tff(f928,plain,( 29.91/29.67 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,sK4(sK0,sK1,sK2)) | ~minsol_model_max(X2,X3,sK2)) ) | ~spl6_14), 29.91/29.67 inference(resolution,[],[f111,f61])). 29.91/29.67 tff(f931,plain,( 29.91/29.67 $less(summation(sK4(sK0,sK1,sK2)),summation(sK2)) | ~spl6_14), 29.91/29.67 inference(resolution,[],[f111,f50])). 29.91/29.67 tff(f933,plain,( 29.91/29.67 spl6_170 <=> $less(summation(sK4(sK0,sK1,sK2)),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_170])])). 29.91/29.67 tff(f934,plain,( 29.91/29.67 $less(summation(sK4(sK0,sK1,sK2)),summation(sK2)) | ~spl6_170), 29.91/29.67 inference(avatar_component_clause,[],[f933])). 29.91/29.67 tff(f935,plain,( 29.91/29.67 spl6_170 | ~spl6_14), 29.91/29.67 inference(avatar_split_clause,[],[f931,f110,f933])). 29.91/29.67 tff(f936,plain,( 29.91/29.67 minsol_model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | model_max(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | ~spl6_12), 29.91/29.67 inference(resolution,[],[f104,f59])). 29.91/29.67 tff(f937,plain,( 29.91/29.67 minsol_model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | $less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK4(sK0,sK1,sK2)) | ~spl6_12), 29.91/29.67 inference(resolution,[],[f104,f60])). 29.91/29.67 tff(f938,plain,( 29.91/29.67 ( ! [X0:$int] : (~$less(sK4(sK0,sK1,sK2),X0) | ~minsol_model_max(sK0,sK1,X0)) ) | ~spl6_12), 29.91/29.67 inference(resolution,[],[f104,f61])). 29.91/29.67 tff(f939,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | ~spl6_12), 29.91/29.67 inference(resolution,[],[f104,f58])). 29.91/29.67 tff(f941,plain,( 29.91/29.67 spl6_172 <=> model_max(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_172])])). 29.91/29.67 tff(f942,plain,( 29.91/29.67 model_max(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | ~spl6_172), 29.91/29.67 inference(avatar_component_clause,[],[f941])). 29.91/29.67 tff(f944,plain,( 29.91/29.67 spl6_174 <=> minsol_model_max(sK0,sK1,sK4(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_174])])). 29.91/29.67 tff(f945,plain,( 29.91/29.67 minsol_model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_174), 29.91/29.67 inference(avatar_component_clause,[],[f944])). 29.91/29.67 tff(f946,plain,( 29.91/29.67 spl6_172 | spl6_174 | ~spl6_12), 29.91/29.67 inference(avatar_split_clause,[],[f936,f103,f944,f941])). 29.91/29.67 tff(f948,plain,( 29.91/29.67 spl6_176 <=> $less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK4(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_176])])). 29.91/29.67 tff(f950,plain,( 29.91/29.67 spl6_176 | spl6_174 | ~spl6_12), 29.91/29.67 inference(avatar_split_clause,[],[f937,f103,f944,f948])). 29.91/29.67 tff(f952,plain,( 29.91/29.67 spl6_179 <=> ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_179])])). 29.91/29.67 tff(f953,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | ~spl6_179), 29.91/29.67 inference(avatar_component_clause,[],[f952])). 29.91/29.67 tff(f954,plain,( 29.91/29.67 ~spl6_179 | ~spl6_12), 29.91/29.67 inference(avatar_split_clause,[],[f939,f103,f952])). 29.91/29.67 tff(f969,plain,( 29.91/29.67 ~$less(sK2,sK4(sK0,sK1,sK2)) | (~spl6_10 | ~spl6_174)), 29.91/29.67 inference(resolution,[],[f945,f127])). 29.91/29.67 tff(f971,plain,( 29.91/29.67 model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_174), 29.91/29.67 inference(resolution,[],[f945,f62])). 29.91/29.67 tff(f973,plain,( 29.91/29.67 spl6_181 <=> ~$less(sK2,sK4(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_181])])). 29.91/29.67 tff(f974,plain,( 29.91/29.67 ~$less(sK2,sK4(sK0,sK1,sK2)) | ~spl6_181), 29.91/29.67 inference(avatar_component_clause,[],[f973])). 29.91/29.67 tff(f975,plain,( 29.91/29.67 ~spl6_181 | ~spl6_10 | ~spl6_174), 29.91/29.67 inference(avatar_split_clause,[],[f969,f944,f97,f973])). 29.91/29.67 tff(f978,plain,( 29.91/29.67 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,summation(sK4(sK0,sK1,sK2))) | ~minsol_model_max(X2,X3,summation(sK2))) ) | ~spl6_170), 29.91/29.67 inference(resolution,[],[f934,f61])). 29.91/29.67 tff(f981,plain,( 29.91/29.67 $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_170), 29.91/29.67 inference(resolution,[],[f934,f50])). 29.91/29.67 tff(f983,plain,( 29.91/29.67 spl6_182 <=> $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_182])])). 29.91/29.67 tff(f984,plain,( 29.91/29.67 $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_182), 29.91/29.67 inference(avatar_component_clause,[],[f983])). 29.91/29.67 tff(f985,plain,( 29.91/29.67 spl6_182 | ~spl6_170), 29.91/29.67 inference(avatar_split_clause,[],[f981,f933,f983])). 29.91/29.67 tff(f987,plain,( 29.91/29.67 ~minsol_model_max(sK0,sK1,sK2) | (~spl6_12 | ~spl6_14)), 29.91/29.67 inference(resolution,[],[f938,f111])). 29.91/29.67 tff(f990,plain,( 29.91/29.67 ( ! [X4:$int] : (~$less(summation(sK4(sK0,sK1,sK2)),summation(X4)) | ~minsol_model_max(sK0,sK1,X4)) ) | ~spl6_12), 29.91/29.67 inference(resolution,[],[f938,f49])). 29.91/29.67 tff(f1000,plain,( 29.91/29.67 ~$less(summation(sK2),summation(sK4(sK0,sK1,sK2))) | ~spl6_181), 29.91/29.67 inference(resolution,[],[f974,f49])). 29.91/29.67 tff(f1001,plain,( 29.91/29.67 max(sK4(sK0,sK1,sK2),sK2) = sK2 | ~spl6_181), 29.91/29.67 inference(resolution,[],[f974,f48])). 29.91/29.67 tff(f1002,plain,( 29.91/29.67 max(sK2,sK4(sK0,sK1,sK2)) = sK2 | ~spl6_181), 29.91/29.67 inference(resolution,[],[f974,f47])). 29.91/29.67 tff(f1004,plain,( 29.91/29.67 spl6_185 <=> ~$less(summation(sK2),summation(sK4(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_185])])). 29.91/29.67 tff(f1005,plain,( 29.91/29.67 ~$less(summation(sK2),summation(sK4(sK0,sK1,sK2))) | ~spl6_185), 29.91/29.67 inference(avatar_component_clause,[],[f1004])). 29.91/29.67 tff(f1006,plain,( 29.91/29.67 ~spl6_185 | spl6_181), 29.91/29.67 inference(avatar_split_clause,[],[f1000,f973,f1004])). 29.91/29.67 tff(f1008,plain,( 29.91/29.67 spl6_186 <=> max(sK4(sK0,sK1,sK2),sK2) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_186])])). 29.91/29.67 tff(f1010,plain,( 29.91/29.67 spl6_186 | spl6_181), 29.91/29.67 inference(avatar_split_clause,[],[f1001,f973,f1008])). 29.91/29.67 tff(f1012,plain,( 29.91/29.67 spl6_188 <=> max(sK2,sK4(sK0,sK1,sK2)) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_188])])). 29.91/29.67 tff(f1014,plain,( 29.91/29.67 spl6_188 | spl6_181), 29.91/29.67 inference(avatar_split_clause,[],[f1002,f973,f1012])). 29.91/29.67 tff(f1016,plain,( 29.91/29.67 ( ! [X0:$int,X1:$int] : (~minsol_model_max(X0,X1,sK4(sK0,sK1,sK2)) | ~minsol_model_max(X0,X1,sK2)) ) | ~spl6_14), 29.91/29.67 inference(resolution,[],[f928,f62])). 29.91/29.67 tff(f1017,plain,( 29.91/29.67 ( ! [X2:$int,X3:$int] : (~minsol_model_max(X2,X3,sK2) | $less(sK4(sK0,sK1,sK2),$sum(c,summation(max(X2,X3))))) ) | ~spl6_14), 29.91/29.67 inference(resolution,[],[f928,f57])). 29.91/29.67 tff(f1018,plain,( 29.91/29.67 ~minsol_model_max(sK0,sK1,sK2) | (~spl6_12 | ~spl6_14)), 29.91/29.67 inference(resolution,[],[f928,f104])). 29.91/29.67 tff(f1019,plain,( 29.91/29.67 model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_179), 29.91/29.67 inference(resolution,[],[f953,f57])). 29.91/29.67 tff(f1020,plain,( 29.91/29.67 ( ! [X0:$int,X1:$int] : (model_ub(X0,X1,sK4(sK0,sK1,sK2)) | ~ub(X0,X1,max(sK0,sK1))) ) | ~spl6_179), 29.91/29.67 inference(resolution,[],[f953,f56])). 29.91/29.67 tff(f1023,plain,( 29.91/29.67 ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_179), 29.91/29.67 inference(resolution,[],[f953,f49])). 29.91/29.67 tff(f1024,plain,( 29.91/29.67 max($sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2) | ~spl6_179), 29.91/29.67 inference(resolution,[],[f953,f48])). 29.91/29.67 tff(f1025,plain,( 29.91/29.67 max(sK4(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) = sK4(sK0,sK1,sK2) | ~spl6_179), 29.91/29.67 inference(resolution,[],[f953,f47])). 29.91/29.67 tff(f1026,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_179), 29.91/29.67 inference(superposition,[],[f953,f48])). 29.91/29.67 tff(f1027,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_179), 29.91/29.67 inference(superposition,[],[f953,f47])). 29.91/29.67 tff(f1029,plain,( 29.91/29.67 spl6_191 <=> ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_191])])). 29.91/29.67 tff(f1030,plain,( 29.91/29.67 ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_191), 29.91/29.67 inference(avatar_component_clause,[],[f1029])). 29.91/29.67 tff(f1031,plain,( 29.91/29.67 ~spl6_191 | spl6_179), 29.91/29.67 inference(avatar_split_clause,[],[f1023,f952,f1029])). 29.91/29.67 tff(f1033,plain,( 29.91/29.67 spl6_192 <=> max($sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_192])])). 29.91/29.67 tff(f1034,plain,( 29.91/29.67 max($sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2) | ~spl6_192), 29.91/29.67 inference(avatar_component_clause,[],[f1033])). 29.91/29.67 tff(f1035,plain,( 29.91/29.67 spl6_192 | spl6_179), 29.91/29.67 inference(avatar_split_clause,[],[f1024,f952,f1033])). 29.91/29.67 tff(f1037,plain,( 29.91/29.67 spl6_194 <=> max(sK4(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) = sK4(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_194])])). 29.91/29.67 tff(f1038,plain,( 29.91/29.67 max(sK4(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) = sK4(sK0,sK1,sK2) | ~spl6_194), 29.91/29.67 inference(avatar_component_clause,[],[f1037])). 29.91/29.67 tff(f1039,plain,( 29.91/29.67 spl6_194 | spl6_179), 29.91/29.67 inference(avatar_split_clause,[],[f1025,f952,f1037])). 29.91/29.67 tff(f1041,plain,( 29.91/29.67 spl6_197 <=> ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(sK1)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_197])])). 29.91/29.67 tff(f1042,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(sK1))) | ~spl6_197), 29.91/29.67 inference(avatar_component_clause,[],[f1041])). 29.91/29.67 tff(f1043,plain,( 29.91/29.67 spl6_34 | ~spl6_197 | spl6_179), 29.91/29.67 inference(avatar_split_clause,[],[f1026,f952,f1041,f198])). 29.91/29.67 tff(f1063,plain,( 29.91/29.67 ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK1)))) | ~spl6_197), 29.91/29.67 inference(resolution,[],[f1042,f49])). 29.91/29.67 tff(f1064,plain,( 29.91/29.67 max($sum(c,summation(sK1)),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2) | ~spl6_197), 29.91/29.67 inference(resolution,[],[f1042,f48])). 29.91/29.67 tff(f1065,plain,( 29.91/29.67 max(sK4(sK0,sK1,sK2),$sum(c,summation(sK1))) = sK4(sK0,sK1,sK2) | ~spl6_197), 29.91/29.67 inference(resolution,[],[f1042,f47])). 29.91/29.67 tff(f1067,plain,( 29.91/29.67 spl6_199 <=> ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK1))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_199])])). 29.91/29.67 tff(f1068,plain,( 29.91/29.67 ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK1)))) | ~spl6_199), 29.91/29.67 inference(avatar_component_clause,[],[f1067])). 29.91/29.67 tff(f1069,plain,( 29.91/29.67 ~spl6_199 | spl6_197), 29.91/29.67 inference(avatar_split_clause,[],[f1063,f1041,f1067])). 29.91/29.67 tff(f1071,plain,( 29.91/29.67 spl6_200 <=> max($sum(c,summation(sK1)),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_200])])). 29.91/29.67 tff(f1073,plain,( 29.91/29.67 spl6_200 | spl6_197), 29.91/29.67 inference(avatar_split_clause,[],[f1064,f1041,f1071])). 29.91/29.67 tff(f1075,plain,( 29.91/29.67 spl6_202 <=> max(sK4(sK0,sK1,sK2),$sum(c,summation(sK1))) = sK4(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_202])])). 29.91/29.67 tff(f1077,plain,( 29.91/29.67 spl6_202 | spl6_197), 29.91/29.67 inference(avatar_split_clause,[],[f1065,f1041,f1075])). 29.91/29.67 tff(f1083,plain,( 29.91/29.67 $less(summation(summation(summation(sK5(sK0,sK1,sK2)))),summation(summation(summation(sK2)))) | ~spl6_128), 29.91/29.67 inference(resolution,[],[f766,f50])). 29.91/29.67 tff(f1085,plain,( 29.91/29.67 spl6_204 <=> $less(summation(summation(summation(sK5(sK0,sK1,sK2)))),summation(summation(summation(sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_204])])). 29.91/29.67 tff(f1087,plain,( 29.91/29.67 spl6_204 | ~spl6_128), 29.91/29.67 inference(avatar_split_clause,[],[f1083,f765,f1085])). 29.91/29.67 tff(f1091,plain,( 29.91/29.67 ~$less(summation(summation(summation(sK2))),summation(summation(summation(sK2)))) | ~spl6_25), 29.91/29.67 inference(resolution,[],[f163,f49])). 29.91/29.67 tff(f1092,plain,( 29.91/29.67 summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK2))) | ~spl6_25), 29.91/29.67 inference(resolution,[],[f163,f48])). 29.91/29.67 tff(f1093,plain,( 29.91/29.67 summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK2))) | ~spl6_25), 29.91/29.67 inference(resolution,[],[f163,f47])). 29.91/29.67 tff(f1095,plain,( 29.91/29.67 spl6_207 <=> ~$less(summation(summation(summation(sK2))),summation(summation(summation(sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_207])])). 29.91/29.67 tff(f1097,plain,( 29.91/29.67 ~spl6_207 | spl6_25), 29.91/29.67 inference(avatar_split_clause,[],[f1091,f162,f1095])). 29.91/29.67 tff(f1099,plain,( 29.91/29.67 spl6_208 <=> summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_208])])). 29.91/29.67 tff(f1101,plain,( 29.91/29.67 spl6_208 | spl6_25), 29.91/29.67 inference(avatar_split_clause,[],[f1092,f162,f1099])). 29.91/29.67 tff(f1102,plain,( 29.91/29.67 spl6_208 | spl6_25), 29.91/29.67 inference(avatar_split_clause,[],[f1093,f162,f1099])). 29.91/29.67 tff(f1115,plain,( 29.91/29.67 $less(summation(summation(summation(sK4(sK0,sK1,sK2)))),summation(summation(summation(sK2)))) | ~spl6_182), 29.91/29.67 inference(resolution,[],[f984,f50])). 29.91/29.67 tff(f1117,plain,( 29.91/29.67 spl6_210 <=> $less(summation(summation(summation(sK4(sK0,sK1,sK2)))),summation(summation(summation(sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_210])])). 29.91/29.67 tff(f1119,plain,( 29.91/29.67 spl6_210 | ~spl6_182), 29.91/29.67 inference(avatar_split_clause,[],[f1115,f983,f1117])). 29.91/29.67 tff(f1128,plain,( 29.91/29.67 ~minsol_model_max(sK0,sK1,sK2) | (~spl6_14 | ~spl6_174)), 29.91/29.67 inference(resolution,[],[f1016,f945])). 29.91/29.67 tff(f1129,plain,( 29.91/29.67 ~minsol_model_max(sK0,sK1,sK2) | (~spl6_12 | ~spl6_170)), 29.91/29.67 inference(resolution,[],[f990,f934])). 29.91/29.67 tff(f1141,plain,( 29.91/29.67 ~model_ub(sK0,sK1,$sum(c,summation(sK1))) | model_ub(sK0,sK1,sK5(sK0,sK1,$sum(c,summation(sK1)))) | ~spl6_139), 29.91/29.67 inference(resolution,[],[f805,f63])). 29.91/29.67 tff(f1142,plain,( 29.91/29.67 ~model_ub(sK0,sK1,$sum(c,summation(sK1))) | $less(sK5(sK0,sK1,$sum(c,summation(sK1))),$sum(c,summation(sK1))) | ~spl6_139), 29.91/29.67 inference(resolution,[],[f805,f64])). 29.91/29.67 tff(f1144,plain,( 29.91/29.67 spl6_212 <=> model_ub(sK0,sK1,sK5(sK0,sK1,$sum(c,summation(sK1))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_212])])). 29.91/29.67 tff(f1147,plain,( 29.91/29.67 spl6_215 <=> ~model_ub(sK0,sK1,$sum(c,summation(sK1)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_215])])). 29.91/29.67 tff(f1148,plain,( 29.91/29.67 ~model_ub(sK0,sK1,$sum(c,summation(sK1))) | ~spl6_215), 29.91/29.67 inference(avatar_component_clause,[],[f1147])). 29.91/29.67 tff(f1149,plain,( 29.91/29.67 spl6_212 | ~spl6_215 | spl6_139), 29.91/29.67 inference(avatar_split_clause,[],[f1141,f804,f1147,f1144])). 29.91/29.67 tff(f1151,plain,( 29.91/29.67 spl6_216 <=> $less(sK5(sK0,sK1,$sum(c,summation(sK1))),$sum(c,summation(sK1)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_216])])). 29.91/29.67 tff(f1153,plain,( 29.91/29.67 spl6_216 | ~spl6_215 | spl6_139), 29.91/29.67 inference(avatar_split_clause,[],[f1142,f804,f1147,f1151])). 29.91/29.67 tff(f1169,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,summation(sK2)) | $less(summation(sK5(sK0,sK1,sK2)),sK2) | (~spl6_44 | ~spl6_104 | ~spl6_114)), 29.91/29.67 inference(resolution,[],[f759,f688])). 29.91/29.67 tff(f1171,plain,( 29.91/29.67 spl6_218 <=> $less(summation(sK5(sK0,sK1,sK2)),sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_218])])). 29.91/29.67 tff(f1172,plain,( 29.91/29.67 $less(summation(sK5(sK0,sK1,sK2)),sK2) | ~spl6_218), 29.91/29.67 inference(avatar_component_clause,[],[f1171])). 29.91/29.67 tff(f1174,plain,( 29.91/29.67 spl6_221 <=> ~minsol_model_ub(sK0,sK1,summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_221])])). 29.91/29.67 tff(f1175,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,summation(sK2)) | ~spl6_221), 29.91/29.67 inference(avatar_component_clause,[],[f1174])). 29.91/29.67 tff(f1176,plain,( 29.91/29.67 spl6_218 | ~spl6_221 | ~spl6_44 | ~spl6_104 | ~spl6_114), 29.91/29.67 inference(avatar_split_clause,[],[f1169,f713,f631,f231,f1174,f1171])). 29.91/29.67 tff(f1186,plain,( 29.91/29.67 ~model_ub(sK0,sK1,summation(sK2)) | model_ub(sK0,sK1,sK5(sK0,sK1,summation(sK2))) | ~spl6_221), 29.91/29.67 inference(resolution,[],[f1175,f63])). 29.91/29.67 tff(f1187,plain,( 29.91/29.67 ~model_ub(sK0,sK1,summation(sK2)) | $less(sK5(sK0,sK1,summation(sK2)),summation(sK2)) | ~spl6_221), 29.91/29.67 inference(resolution,[],[f1175,f64])). 29.91/29.67 tff(f1189,plain,( 29.91/29.67 spl6_222 <=> model_ub(sK0,sK1,sK5(sK0,sK1,summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_222])])). 29.91/29.67 tff(f1192,plain,( 29.91/29.67 spl6_225 <=> ~model_ub(sK0,sK1,summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_225])])). 29.91/29.67 tff(f1193,plain,( 29.91/29.67 ~model_ub(sK0,sK1,summation(sK2)) | ~spl6_225), 29.91/29.67 inference(avatar_component_clause,[],[f1192])). 29.91/29.67 tff(f1194,plain,( 29.91/29.67 spl6_222 | ~spl6_225 | spl6_221), 29.91/29.67 inference(avatar_split_clause,[],[f1186,f1174,f1192,f1189])). 29.91/29.67 tff(f1196,plain,( 29.91/29.67 spl6_226 <=> $less(sK5(sK0,sK1,summation(sK2)),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_226])])). 29.91/29.67 tff(f1198,plain,( 29.91/29.67 spl6_226 | ~spl6_225 | spl6_221), 29.91/29.67 inference(avatar_split_clause,[],[f1187,f1174,f1192,f1196])). 29.91/29.67 tff(f1208,plain,( 29.91/29.67 ~ub(sK0,sK1,max(sK0,sK1)) | ~$less(sK4(sK0,sK1,sK2),sK2) | (~spl6_0 | ~spl6_179)), 29.91/29.67 inference(resolution,[],[f1020,f113])). 29.91/29.67 tff(f1210,plain,( 29.91/29.67 spl6_15 <=> ~$less(sK4(sK0,sK1,sK2),sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_15])])). 29.91/29.67 tff(f1213,plain,( 29.91/29.67 spl6_229 <=> ~ub(sK0,sK1,max(sK0,sK1))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_229])])). 29.91/29.67 tff(f1214,plain,( 29.91/29.67 ~ub(sK0,sK1,max(sK0,sK1)) | ~spl6_229), 29.91/29.67 inference(avatar_component_clause,[],[f1213])). 29.91/29.67 tff(f1215,plain,( 29.91/29.67 ~spl6_15 | ~spl6_229 | ~spl6_0 | spl6_179), 29.91/29.67 inference(avatar_split_clause,[],[f1208,f952,f75,f1213,f1210])). 29.91/29.67 tff(f1216,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | ~spl6_191), 29.91/29.67 inference(resolution,[],[f1030,f50])). 29.91/29.67 tff(f1219,plain,( 29.91/29.67 ~$less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation($sum(c,summation(max(sK0,sK1)))))) | ~spl6_191), 29.91/29.67 inference(resolution,[],[f1030,f49])). 29.91/29.67 tff(f1220,plain,( 29.91/29.67 summation(sK4(sK0,sK1,sK2)) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK4(sK0,sK1,sK2))) | ~spl6_191), 29.91/29.67 inference(resolution,[],[f1030,f48])). 29.91/29.67 tff(f1221,plain,( 29.91/29.67 summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_191), 29.91/29.67 inference(resolution,[],[f1030,f47])). 29.91/29.67 tff(f1223,plain,( 29.91/29.67 ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK0)))) | $less(sK0,sK1) | ~spl6_191), 29.91/29.67 inference(superposition,[],[f1030,f47])). 29.91/29.67 tff(f1225,plain,( 29.91/29.67 spl6_231 <=> ~$less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation($sum(c,summation(max(sK0,sK1))))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_231])])). 29.91/29.67 tff(f1227,plain,( 29.91/29.67 ~spl6_231 | spl6_191), 29.91/29.67 inference(avatar_split_clause,[],[f1219,f1029,f1225])). 29.91/29.67 tff(f1229,plain,( 29.91/29.67 spl6_232 <=> summation(sK4(sK0,sK1,sK2)) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK4(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_232])])). 29.91/29.67 tff(f1231,plain,( 29.91/29.67 spl6_232 | spl6_191), 29.91/29.67 inference(avatar_split_clause,[],[f1220,f1029,f1229])). 29.91/29.67 tff(f1233,plain,( 29.91/29.67 spl6_234 <=> summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_234])])). 29.91/29.67 tff(f1235,plain,( 29.91/29.67 spl6_234 | spl6_191), 29.91/29.67 inference(avatar_split_clause,[],[f1221,f1029,f1233])). 29.91/29.67 tff(f1255,plain,( 29.91/29.67 $less(summation(summation(sK5(sK0,sK1,sK5(sK0,sK1,sK2)))),summation(summation(sK5(sK0,sK1,sK2)))) | ~spl6_144), 29.91/29.67 inference(resolution,[],[f831,f50])). 29.91/29.67 tff(f1257,plain,( 29.91/29.67 spl6_236 <=> $less(summation(summation(sK5(sK0,sK1,sK5(sK0,sK1,sK2)))),summation(summation(sK5(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_236])])). 29.91/29.67 tff(f1259,plain,( 29.91/29.67 spl6_236 | ~spl6_144), 29.91/29.67 inference(avatar_split_clause,[],[f1255,f830,f1257])). 29.91/29.67 tff(f1271,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK2),sK2) | $less(max(sK0,sK1),sK1) | $less(max(sK0,sK1),sK0) | (~spl6_0 | ~spl6_179)), 29.91/29.67 inference(resolution,[],[f321,f953])). 29.91/29.67 tff(f1272,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK2),sK2) | $less(sK1,sK1) | $less(sK1,sK0) | (~spl6_0 | ~spl6_197)), 29.91/29.67 inference(resolution,[],[f321,f1042])). 29.91/29.67 tff(f1273,plain,( 29.91/29.67 ( ! [X22:$int] : (~$less(sK4(sK0,sK1,sK2),sK2) | $less(X22,sK1) | $less(X22,sK0) | ~minsol_model_max(sK0,sK1,$sum(c,summation(X22)))) ) | (~spl6_0 | ~spl6_12)), 29.91/29.67 inference(resolution,[],[f321,f938])). 29.91/29.67 tff(f1274,plain,( 29.91/29.67 ~$less(sK5(sK0,sK1,sK2),sK2) | $less(sK3(sK0,sK1,sK5(sK0,sK1,sK2)),sK1) | $less(sK3(sK0,sK1,sK5(sK0,sK1,sK2)),sK0) | (~spl6_0 | ~spl6_123)), 29.91/29.67 inference(resolution,[],[f321,f734])). 29.91/29.67 tff(f1275,plain,( 29.91/29.67 spl6_106 | spl6_108 | ~spl6_15 | ~spl6_0 | spl6_179), 29.91/29.67 inference(avatar_split_clause,[],[f1271,f952,f75,f1210,f666,f663])). 29.91/29.67 tff(f1276,plain,( 29.91/29.67 spl6_34 | spl6_110 | ~spl6_15 | ~spl6_0 | spl6_197), 29.91/29.67 inference(avatar_split_clause,[],[f1272,f1041,f75,f1210,f670,f198])). 29.91/29.67 tff(f1278,plain,( 29.91/29.67 spl6_238 <=> ! [X22 : $int] : ($less(X22,sK1) | ~minsol_model_max(sK0,sK1,$sum(c,summation(X22))) | $less(X22,sK0))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_238])])). 29.91/29.67 tff(f1280,plain,( 29.91/29.67 spl6_238 | ~spl6_15 | ~spl6_0 | ~spl6_12), 29.91/29.67 inference(avatar_split_clause,[],[f1273,f103,f75,f1210,f1278])). 29.91/29.67 tff(f1282,plain,( 29.91/29.67 spl6_140 <=> $less(sK3(sK0,sK1,sK5(sK0,sK1,sK2)),sK0)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_140])])). 29.91/29.67 tff(f1285,plain,( 29.91/29.67 spl6_142 <=> $less(sK3(sK0,sK1,sK5(sK0,sK1,sK2)),sK1)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_142])])). 29.91/29.67 tff(f1287,plain,( 29.91/29.67 spl6_140 | spl6_142 | ~spl6_9 | ~spl6_0 | spl6_123), 29.91/29.67 inference(avatar_split_clause,[],[f1274,f733,f75,f797,f1285,f1282])). 29.91/29.67 tff(f1289,plain,( 29.91/29.67 ~spl6_3 | ~spl6_14 | ~spl6_174), 29.91/29.67 inference(avatar_split_clause,[],[f1128,f944,f110,f71])). 29.91/29.67 tff(f1290,plain,( 29.91/29.67 spl6_12 | spl6_179), 29.91/29.67 inference(avatar_split_clause,[],[f1019,f952,f103])). 29.91/29.67 tff(f1291,plain,( 29.91/29.67 spl6_12 | ~spl6_174), 29.91/29.67 inference(avatar_split_clause,[],[f971,f944,f103])). 29.91/29.67 tff(f1293,plain,( 29.91/29.67 spl6_241 <=> ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK0))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_241])])). 29.91/29.67 tff(f1295,plain,( 29.91/29.67 spl6_38 | ~spl6_241 | spl6_191), 29.91/29.67 inference(avatar_split_clause,[],[f1223,f1029,f1293,f205])). 29.91/29.67 tff(f1297,plain,( 29.91/29.67 spl6_243 <=> ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(sK0)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_243])])). 29.91/29.67 tff(f1298,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(sK0))) | ~spl6_243), 29.91/29.67 inference(avatar_component_clause,[],[f1297])). 29.91/29.67 tff(f1299,plain,( 29.91/29.67 spl6_38 | ~spl6_243 | spl6_179), 29.91/29.67 inference(avatar_split_clause,[],[f1027,f952,f1297,f205])). 29.91/29.67 tff(f1301,plain,( 29.91/29.67 spl6_245 <=> ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK0)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_245])])). 29.91/29.67 tff(f1302,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK0))) | ~spl6_245), 29.91/29.67 inference(avatar_component_clause,[],[f1301])). 29.91/29.67 tff(f1303,plain,( 29.91/29.67 spl6_38 | ~spl6_245 | spl6_137), 29.91/29.67 inference(avatar_split_clause,[],[f866,f800,f1301,f205])). 29.91/29.67 tff(f1305,plain,( 29.91/29.67 spl6_246 <=> $less(sK0,sK0)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_246])])). 29.91/29.67 tff(f1307,plain,( 29.91/29.67 spl6_246 | spl6_38 | spl6_7 | spl6_41), 29.91/29.67 inference(avatar_split_clause,[],[f652,f208,f87,f205,f1305])). 29.91/29.67 tff(f1308,plain,( 29.91/29.67 ~spl6_1 | spl6_7), 29.91/29.67 inference(avatar_split_clause,[],[f479,f87,f68])). 29.91/29.67 tff(f1309,plain,( 29.91/29.67 ~spl6_1 | spl6_7), 29.91/29.67 inference(avatar_split_clause,[],[f357,f87,f68])). 29.91/29.67 tff(f1310,plain,( 29.91/29.67 ~spl6_1 | spl6_7), 29.91/29.67 inference(avatar_split_clause,[],[f123,f87,f68])). 29.91/29.67 tff(f1312,plain,( 29.91/29.67 spl6_248 <=> ! [X1 : $int] : ($less(X1,$sum(c,summation(sK0))) | ~$less(X1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_248])])). 29.91/29.67 tff(f1314,plain,( 29.91/29.67 spl6_38 | spl6_248 | ~spl6_2), 29.91/29.67 inference(avatar_split_clause,[],[f514,f78,f1312,f205])). 29.91/29.67 tff(f1316,plain,( 29.91/29.67 spl6_4 | ~spl6_7 | spl6_1), 29.91/29.67 inference(avatar_split_clause,[],[f81,f68,f87,f84])). 29.91/29.67 tff(f1317,plain,( 29.91/29.67 spl6_4 | ~spl6_7 | spl6_1), 29.91/29.67 inference(avatar_split_clause,[],[f119,f68,f87,f84])). 29.91/29.67 tff(f1318,plain,( 29.91/29.67 spl6_4 | ~spl6_7 | spl6_1), 29.91/29.67 inference(avatar_split_clause,[],[f353,f68,f87,f84])). 29.91/29.67 tff(f1319,plain,( 29.91/29.67 spl6_4 | ~spl6_7 | spl6_1), 29.91/29.67 inference(avatar_split_clause,[],[f475,f68,f87,f84])). 29.91/29.67 tff(f1320,plain,( 29.91/29.67 spl6_34 | spl6_78 | ~spl6_2), 29.91/29.67 inference(avatar_split_clause,[],[f513,f78,f516,f198])). 29.91/29.67 tff(f1321,plain,( 29.91/29.67 ( ! [X0:$int] : (model_ub(sK0,sK1,X0) | $less(X0,sK2)) ) | (~spl6_44 | ~spl6_104)), 29.91/29.67 inference(forward_demodulation,[],[f743,f632])). 29.91/29.67 tff(f1322,plain,( 29.91/29.67 spl6_6 | spl6_43 | ~spl6_44), 29.91/29.67 inference(avatar_split_clause,[],[f742,f231,f227,f116])). 29.91/29.67 tff(f1324,plain,( 29.91/29.67 ~spl6_3 | ~spl6_12 | ~spl6_170), 29.91/29.67 inference(avatar_split_clause,[],[f1129,f933,f103,f71])). 29.91/29.67 tff(f1325,plain,( 29.91/29.67 ~spl6_3 | ~spl6_12 | ~spl6_14), 29.91/29.67 inference(avatar_split_clause,[],[f1018,f110,f103,f71])). 29.91/29.67 tff(f1326,plain,( 29.91/29.67 ~spl6_3 | ~spl6_12 | ~spl6_14), 29.91/29.67 inference(avatar_split_clause,[],[f987,f110,f103,f71])). 29.91/29.67 tff(f1327,plain,( 29.91/29.67 spl6_4 | spl6_0 | ~spl6_6), 29.91/29.67 inference(avatar_split_clause,[],[f692,f116,f75,f84])). 29.91/29.67 tff(f1328,plain,( 29.91/29.67 spl6_4 | spl6_0 | ~spl6_6), 29.91/29.67 inference(avatar_split_clause,[],[f387,f116,f75,f84])). 29.91/29.67 tff(f1329,plain,( 29.91/29.67 spl6_4 | spl6_0 | ~spl6_6), 29.91/29.67 inference(avatar_split_clause,[],[f247,f116,f75,f84])). 29.91/29.67 tff(f1330,plain,( 29.91/29.67 spl6_4 | spl6_0 | ~spl6_6), 29.91/29.67 inference(avatar_split_clause,[],[f221,f116,f75,f84])). 29.91/29.67 tff(f1331,plain,( 29.91/29.67 ~spl6_179 | spl6_191), 29.91/29.67 inference(avatar_split_clause,[],[f1216,f1029,f952])). 29.91/29.67 tff(f1337,plain,( 29.91/29.67 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_6), 29.91/29.67 inference(resolution,[],[f117,f63])). 29.91/29.67 tff(f1372,plain,( 29.91/29.67 minsol_model_ub(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | model_ub(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2)))) | ~spl6_116), 29.91/29.67 inference(resolution,[],[f723,f63])). 29.91/29.67 tff(f1373,plain,( 29.91/29.67 minsol_model_ub(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | $less(sK5(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))),sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | ~spl6_116), 29.91/29.67 inference(resolution,[],[f723,f64])). 29.91/29.67 tff(f1374,plain,( 29.91/29.67 ( ! [X0:$int] : (~$less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),X0) | ~minsol_model_ub(sK0,sK1,X0)) ) | ~spl6_116), 29.91/29.67 inference(resolution,[],[f723,f65])). 29.91/29.67 tff(f1375,plain,( 29.91/29.67 ~$less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2)))))) | ~spl6_116), 29.91/29.67 inference(resolution,[],[f723,f54])). 29.91/29.67 tff(f1376,plain,( 29.91/29.67 ub(sK0,sK1,sK3(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2)))) | ~spl6_116), 29.91/29.67 inference(resolution,[],[f723,f55])). 29.91/29.67 tff(f1378,plain,( 29.91/29.67 spl6_250 <=> model_ub(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_250])])). 29.91/29.67 tff(f1381,plain,( 29.91/29.67 spl6_252 <=> minsol_model_ub(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_252])])). 29.91/29.67 tff(f1382,plain,( 29.91/29.67 minsol_model_ub(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | ~spl6_252), 29.91/29.67 inference(avatar_component_clause,[],[f1381])). 29.91/29.67 tff(f1383,plain,( 29.91/29.67 spl6_250 | spl6_252 | ~spl6_116), 29.91/29.67 inference(avatar_split_clause,[],[f1372,f722,f1381,f1378])). 29.91/29.67 tff(f1385,plain,( 29.91/29.67 spl6_254 <=> $less(sK5(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))),sK5(sK0,sK1,sK5(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_254])])). 29.91/29.67 tff(f1387,plain,( 29.91/29.67 spl6_254 | spl6_252 | ~spl6_116), 29.91/29.67 inference(avatar_split_clause,[],[f1373,f722,f1381,f1385])). 29.91/29.67 tff(f1389,plain,( 29.91/29.67 spl6_257 <=> ~$less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_257])])). 29.91/29.67 tff(f1390,plain,( 29.91/29.67 ~$less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2)))))) | ~spl6_257), 29.91/29.67 inference(avatar_component_clause,[],[f1389])). 29.91/29.67 tff(f1391,plain,( 29.91/29.67 ~spl6_257 | ~spl6_116), 29.91/29.67 inference(avatar_split_clause,[],[f1375,f722,f1389])). 29.91/29.67 tff(f1393,plain,( 29.91/29.67 spl6_258 <=> ub(sK0,sK1,sK3(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_258])])). 29.91/29.67 tff(f1394,plain,( 29.91/29.67 ub(sK0,sK1,sK3(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2)))) | ~spl6_258), 29.91/29.67 inference(avatar_component_clause,[],[f1393])). 29.91/29.67 tff(f1395,plain,( 29.91/29.67 spl6_258 | ~spl6_116), 29.91/29.67 inference(avatar_split_clause,[],[f1376,f722,f1393])). 29.91/29.67 tff(f1401,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK2) | (~spl6_2 | ~spl6_172)), 29.91/29.67 inference(resolution,[],[f942,f94])). 29.91/29.67 tff(f1402,plain,( 29.91/29.67 ~$less(sK2,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | $less(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))),sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | (~spl6_10 | ~spl6_172)), 29.91/29.67 inference(resolution,[],[f942,f172])). 29.91/29.67 tff(f1403,plain,( 29.91/29.67 minsol_model_max(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | model_max(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | ~spl6_172), 29.91/29.67 inference(resolution,[],[f942,f59])). 29.91/29.67 tff(f1404,plain,( 29.91/29.67 minsol_model_max(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | $less(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))),sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | ~spl6_172), 29.91/29.67 inference(resolution,[],[f942,f60])). 29.91/29.67 tff(f1406,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),$sum(c,summation(max(sK0,sK1)))) | ~spl6_172), 29.91/29.67 inference(resolution,[],[f942,f58])). 29.91/29.67 tff(f1408,plain,( 29.91/29.67 spl6_261 <=> ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_261])])). 29.91/29.67 tff(f1409,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK2) | ~spl6_261), 29.91/29.67 inference(avatar_component_clause,[],[f1408])). 29.91/29.67 tff(f1410,plain,( 29.91/29.67 ~spl6_261 | ~spl6_2 | ~spl6_172), 29.91/29.67 inference(avatar_split_clause,[],[f1401,f941,f78,f1408])). 29.91/29.67 tff(f1412,plain,( 29.91/29.67 spl6_262 <=> $less(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))),sK4(sK0,sK1,sK4(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_262])])). 29.91/29.67 tff(f1415,plain,( 29.91/29.67 spl6_265 <=> ~$less(sK2,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_265])])). 29.91/29.67 tff(f1416,plain,( 29.91/29.67 ~$less(sK2,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | ~spl6_265), 29.91/29.67 inference(avatar_component_clause,[],[f1415])). 29.91/29.67 tff(f1417,plain,( 29.91/29.67 spl6_262 | ~spl6_265 | ~spl6_10 | ~spl6_172), 29.91/29.67 inference(avatar_split_clause,[],[f1402,f941,f97,f1415,f1412])). 29.91/29.67 tff(f1419,plain,( 29.91/29.67 spl6_266 <=> model_max(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_266])])). 29.91/29.67 tff(f1420,plain,( 29.91/29.67 model_max(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | ~spl6_266), 29.91/29.67 inference(avatar_component_clause,[],[f1419])). 29.91/29.67 tff(f1422,plain,( 29.91/29.67 spl6_268 <=> minsol_model_max(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_268])])). 29.91/29.67 tff(f1424,plain,( 29.91/29.67 spl6_266 | spl6_268 | ~spl6_172), 29.91/29.67 inference(avatar_split_clause,[],[f1403,f941,f1422,f1419])). 29.91/29.67 tff(f1425,plain,( 29.91/29.67 spl6_262 | spl6_268 | ~spl6_172), 29.91/29.67 inference(avatar_split_clause,[],[f1404,f941,f1422,f1412])). 29.91/29.67 tff(f1427,plain,( 29.91/29.67 spl6_271 <=> ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),$sum(c,summation(max(sK0,sK1))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_271])])). 29.91/29.67 tff(f1428,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),$sum(c,summation(max(sK0,sK1)))) | ~spl6_271), 29.91/29.67 inference(avatar_component_clause,[],[f1427])). 29.91/29.67 tff(f1429,plain,( 29.91/29.67 ~spl6_271 | ~spl6_172), 29.91/29.67 inference(avatar_split_clause,[],[f1406,f941,f1427])). 29.91/29.67 tff(f1453,plain,( 29.91/29.67 $less(summation(sK2),sK2) | (~spl6_44 | ~spl6_104 | ~spl6_225)), 29.91/29.67 inference(resolution,[],[f1321,f1193])). 29.91/29.67 tff(f1464,plain,( 29.91/29.67 spl6_272 <=> $less(summation(sK2),sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_272])])). 29.91/29.67 tff(f1465,plain,( 29.91/29.67 $less(summation(sK2),sK2) | ~spl6_272), 29.91/29.67 inference(avatar_component_clause,[],[f1464])). 29.91/29.67 tff(f1466,plain,( 29.91/29.67 spl6_272 | ~spl6_44 | ~spl6_104 | spl6_225), 29.91/29.67 inference(avatar_split_clause,[],[f1453,f1192,f631,f231,f1464])). 29.91/29.67 tff(f1473,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK2),sK2) | (~spl6_78 | ~spl6_197)), 29.91/29.67 inference(resolution,[],[f517,f1042])). 29.91/29.67 tff(f1475,plain,( 29.91/29.67 ~spl6_15 | ~spl6_78 | spl6_197), 29.91/29.67 inference(avatar_split_clause,[],[f1473,f1041,f516,f1210])). 29.91/29.67 tff(f1485,plain,( 29.91/29.67 $less(summation(summation(sK2)),summation(sK2)) | ~spl6_272), 29.91/29.67 inference(resolution,[],[f1465,f50])). 29.91/29.67 tff(f1487,plain,( 29.91/29.67 spl6_274 <=> $less(summation(summation(sK2)),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_274])])). 29.91/29.67 tff(f1488,plain,( 29.91/29.67 $less(summation(summation(sK2)),summation(sK2)) | ~spl6_274), 29.91/29.67 inference(avatar_component_clause,[],[f1487])). 29.91/29.67 tff(f1489,plain,( 29.91/29.67 spl6_274 | ~spl6_272), 29.91/29.67 inference(avatar_split_clause,[],[f1485,f1464,f1487])). 29.91/29.67 tff(f1504,plain,( 29.91/29.67 ~$less(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK2)) | ~spl6_261), 29.91/29.67 inference(resolution,[],[f1409,f49])). 29.91/29.67 tff(f1505,plain,( 29.91/29.67 max(sK2,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) = sK4(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_261), 29.91/29.67 inference(resolution,[],[f1409,f48])). 29.91/29.67 tff(f1506,plain,( 29.91/29.67 max(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK2) = sK4(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_261), 29.91/29.67 inference(resolution,[],[f1409,f47])). 29.91/29.67 tff(f1508,plain,( 29.91/29.67 spl6_277 <=> ~$less(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_277])])). 29.91/29.67 tff(f1509,plain,( 29.91/29.67 ~$less(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK2)) | ~spl6_277), 29.91/29.67 inference(avatar_component_clause,[],[f1508])). 29.91/29.67 tff(f1510,plain,( 29.91/29.67 ~spl6_277 | spl6_261), 29.91/29.67 inference(avatar_split_clause,[],[f1504,f1408,f1508])). 29.91/29.67 tff(f1512,plain,( 29.91/29.67 spl6_278 <=> max(sK2,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) = sK4(sK0,sK1,sK4(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_278])])). 29.91/29.67 tff(f1514,plain,( 29.91/29.67 spl6_278 | spl6_261), 29.91/29.67 inference(avatar_split_clause,[],[f1505,f1408,f1512])). 29.91/29.67 tff(f1516,plain,( 29.91/29.67 spl6_280 <=> max(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK2) = sK4(sK0,sK1,sK4(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_280])])). 29.91/29.67 tff(f1518,plain,( 29.91/29.67 spl6_280 | spl6_261), 29.91/29.67 inference(avatar_split_clause,[],[f1506,f1408,f1516])). 29.91/29.67 tff(f1519,plain,( 29.91/29.67 ~$less(sK2,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | (~spl6_6 | ~spl6_252)), 29.91/29.67 inference(resolution,[],[f1382,f223])). 29.91/29.67 tff(f1521,plain,( 29.91/29.67 model_ub(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | ~spl6_252), 29.91/29.67 inference(resolution,[],[f1382,f66])). 29.91/29.67 tff(f1523,plain,( 29.91/29.67 spl6_283 <=> ~$less(sK2,sK5(sK0,sK1,sK5(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_283])])). 29.91/29.67 tff(f1524,plain,( 29.91/29.67 ~$less(sK2,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | ~spl6_283), 29.91/29.67 inference(avatar_component_clause,[],[f1523])). 29.91/29.67 tff(f1525,plain,( 29.91/29.67 ~spl6_283 | ~spl6_6 | ~spl6_252), 29.91/29.67 inference(avatar_split_clause,[],[f1519,f1381,f116,f1523])). 29.91/29.67 tff(f1575,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | (~spl6_116 | ~spl6_120)), 29.91/29.67 inference(resolution,[],[f1374,f730])). 29.91/29.67 tff(f1587,plain,( 29.91/29.67 spl6_119 <=> ~minsol_model_ub(sK0,sK1,sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_119])])). 29.91/29.67 tff(f1588,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_119), 29.91/29.67 inference(avatar_component_clause,[],[f1587])). 29.91/29.67 tff(f1589,plain,( 29.91/29.67 ~spl6_119 | ~spl6_116 | ~spl6_120), 29.91/29.67 inference(avatar_split_clause,[],[f1575,f729,f722,f1587])). 29.91/29.67 tff(f1591,plain,( 29.91/29.67 ~$less(sK3(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))),sK0) | ~spl6_258), 29.91/29.67 inference(resolution,[],[f1394,f51])). 29.91/29.67 tff(f1592,plain,( 29.91/29.67 ~$less(sK3(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))),sK1) | ~spl6_258), 29.91/29.67 inference(resolution,[],[f1394,f52])). 29.91/29.67 tff(f1594,plain,( 29.91/29.67 spl6_285 <=> ~$less(sK3(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))),sK0)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_285])])). 29.91/29.67 tff(f1596,plain,( 29.91/29.67 ~spl6_285 | ~spl6_258), 29.91/29.67 inference(avatar_split_clause,[],[f1591,f1393,f1594])). 29.91/29.67 tff(f1598,plain,( 29.91/29.67 spl6_287 <=> ~$less(sK3(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))),sK1)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_287])])). 29.91/29.67 tff(f1600,plain,( 29.91/29.67 ~spl6_287 | ~spl6_258), 29.91/29.67 inference(avatar_split_clause,[],[f1592,f1393,f1598])). 29.91/29.67 tff(f1624,plain,( 29.91/29.67 ~$less(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_271), 29.91/29.67 inference(resolution,[],[f1428,f49])). 29.91/29.67 tff(f1625,plain,( 29.91/29.67 max($sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK4(sK0,sK1,sK2))) = sK4(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_271), 29.91/29.67 inference(resolution,[],[f1428,f48])). 29.91/29.67 tff(f1626,plain,( 29.91/29.67 max(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),$sum(c,summation(max(sK0,sK1)))) = sK4(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_271), 29.91/29.67 inference(resolution,[],[f1428,f47])). 29.91/29.67 tff(f1627,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_271), 29.91/29.67 inference(superposition,[],[f1428,f48])). 29.91/29.67 tff(f1628,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_271), 29.91/29.67 inference(superposition,[],[f1428,f47])). 29.91/29.67 tff(f1630,plain,( 29.91/29.67 spl6_289 <=> ~$less(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))),summation($sum(c,summation(max(sK0,sK1)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_289])])). 29.91/29.67 tff(f1632,plain,( 29.91/29.67 ~spl6_289 | spl6_271), 29.91/29.67 inference(avatar_split_clause,[],[f1624,f1427,f1630])). 29.91/29.67 tff(f1634,plain,( 29.91/29.67 spl6_290 <=> max($sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK4(sK0,sK1,sK2))) = sK4(sK0,sK1,sK4(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_290])])). 29.91/29.67 tff(f1636,plain,( 29.91/29.67 spl6_290 | spl6_271), 29.91/29.67 inference(avatar_split_clause,[],[f1625,f1427,f1634])). 29.91/29.67 tff(f1638,plain,( 29.91/29.67 spl6_292 <=> max(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),$sum(c,summation(max(sK0,sK1)))) = sK4(sK0,sK1,sK4(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_292])])). 29.91/29.67 tff(f1640,plain,( 29.91/29.67 spl6_292 | spl6_271), 29.91/29.67 inference(avatar_split_clause,[],[f1626,f1427,f1638])). 29.91/29.67 tff(f1642,plain,( 29.91/29.67 spl6_295 <=> ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),$sum(c,summation(sK1)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_295])])). 29.91/29.67 tff(f1644,plain,( 29.91/29.67 spl6_34 | ~spl6_295 | spl6_271), 29.91/29.67 inference(avatar_split_clause,[],[f1627,f1427,f1642,f198])). 29.91/29.67 tff(f1646,plain,( 29.91/29.67 spl6_297 <=> ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),$sum(c,summation(sK0)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_297])])). 29.91/29.67 tff(f1648,plain,( 29.91/29.67 spl6_38 | ~spl6_297 | spl6_271), 29.91/29.67 inference(avatar_split_clause,[],[f1628,f1427,f1646,f205])). 29.91/29.67 tff(f1649,plain,( 29.91/29.67 max(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) | (~spl6_4 | ~spl6_252)), 29.91/29.67 inference(resolution,[],[f790,f1382])). 29.91/29.67 tff(f1653,plain,( 29.91/29.67 spl6_298 <=> max(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_298])])). 29.91/29.67 tff(f1655,plain,( 29.91/29.67 spl6_298 | ~spl6_4 | ~spl6_252), 29.91/29.67 inference(avatar_split_clause,[],[f1649,f1381,f84,f1653])). 29.91/29.67 tff(f1658,plain,( 29.91/29.67 max(sK5(sK0,sK1,sK2),sK5(sK0,sK1,sK5(sK0,sK1,sK2))) = sK5(sK0,sK1,sK2) | (~spl6_4 | ~spl6_252)), 29.91/29.67 inference(resolution,[],[f791,f1382])). 29.91/29.67 tff(f1662,plain,( 29.91/29.67 spl6_300 <=> max(sK5(sK0,sK1,sK2),sK5(sK0,sK1,sK5(sK0,sK1,sK2))) = sK5(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_300])])). 29.91/29.67 tff(f1664,plain,( 29.91/29.67 spl6_300 | ~spl6_4 | ~spl6_252), 29.91/29.67 inference(avatar_split_clause,[],[f1658,f1381,f84,f1662])). 29.91/29.67 tff(f1667,plain,( 29.91/29.67 $less(sK5(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | (~spl6_2 | ~spl6_8)), 29.91/29.67 inference(resolution,[],[f823,f79])). 29.91/29.67 tff(f1669,plain,( 29.91/29.67 spl6_302 <=> $less(sK5(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_302])])). 29.91/29.67 tff(f1670,plain,( 29.91/29.67 $less(sK5(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | ~spl6_302), 29.91/29.67 inference(avatar_component_clause,[],[f1669])). 29.91/29.67 tff(f1671,plain,( 29.91/29.67 spl6_302 | ~spl6_2 | ~spl6_8), 29.91/29.67 inference(avatar_split_clause,[],[f1667,f91,f78,f1669])). 29.91/29.67 tff(f1674,plain,( 29.91/29.67 $less(sK4(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | (~spl6_2 | ~spl6_14)), 29.91/29.67 inference(resolution,[],[f1017,f79])). 29.91/29.67 tff(f1676,plain,( 29.91/29.67 spl6_178 <=> $less(sK4(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_178])])). 29.91/29.67 tff(f1678,plain,( 29.91/29.67 spl6_178 | ~spl6_2 | ~spl6_14), 29.91/29.67 inference(avatar_split_clause,[],[f1674,f110,f78,f1676])). 29.91/29.67 tff(f1698,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | model_max(sK2,sK2,sK5(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_22)), 29.91/29.67 inference(superposition,[],[f793,f152])). 29.91/29.67 tff(f1699,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | model_max(sK2,$sum(c,summation(max(sK0,sK1))),sK5(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_32)), 29.91/29.67 inference(superposition,[],[f793,f195])). 29.91/29.67 tff(f1700,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | model_max(sK2,$sum(c,summation(sK3(sK0,sK1,sK2))),sK5(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_54)), 29.91/29.67 inference(superposition,[],[f793,f309])). 29.91/29.67 tff(f1701,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | model_max($sum(c,summation(max(sK0,sK1))),sK2,sK5(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_30)), 29.91/29.67 inference(superposition,[],[f793,f191])). 29.91/29.67 tff(f1702,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | model_max($sum(c,summation(sK3(sK0,sK1,sK2))),sK2,sK5(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_52)), 29.91/29.67 inference(superposition,[],[f793,f305])). 29.91/29.67 tff(f1704,plain,( 29.91/29.67 spl6_304 <=> model_max(sK2,sK2,sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_304])])). 29.91/29.67 tff(f1707,plain,( 29.91/29.67 spl6_307 <=> ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_307])])). 29.91/29.67 tff(f1708,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | ~spl6_307), 29.91/29.67 inference(avatar_component_clause,[],[f1707])). 29.91/29.67 tff(f1709,plain,( 29.91/29.67 spl6_304 | ~spl6_307 | ~spl6_4 | ~spl6_22), 29.91/29.67 inference(avatar_split_clause,[],[f1698,f151,f84,f1707,f1704])). 29.91/29.67 tff(f1711,plain,( 29.91/29.67 spl6_308 <=> model_max(sK2,$sum(c,summation(max(sK0,sK1))),sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_308])])). 29.91/29.67 tff(f1713,plain,( 29.91/29.67 spl6_308 | ~spl6_307 | ~spl6_4 | ~spl6_32), 29.91/29.67 inference(avatar_split_clause,[],[f1699,f194,f84,f1707,f1711])). 29.91/29.67 tff(f1714,plain,( 29.91/29.67 model_max(sK2,sK2,sK5(sK0,sK1,sK2)) | ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | (~spl6_4 | ~spl6_54 | ~spl6_104)), 29.91/29.67 inference(forward_demodulation,[],[f1700,f632])). 29.91/29.67 tff(f1715,plain,( 29.91/29.67 ~spl6_307 | spl6_304 | ~spl6_4 | ~spl6_54 | ~spl6_104), 29.91/29.67 inference(avatar_split_clause,[],[f1714,f631,f308,f84,f1704,f1707])). 29.91/29.67 tff(f1717,plain,( 29.91/29.67 spl6_310 <=> model_max($sum(c,summation(max(sK0,sK1))),sK2,sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_310])])). 29.91/29.67 tff(f1719,plain,( 29.91/29.67 spl6_310 | ~spl6_307 | ~spl6_4 | ~spl6_30), 29.91/29.67 inference(avatar_split_clause,[],[f1701,f190,f84,f1707,f1717])). 29.91/29.67 tff(f1720,plain,( 29.91/29.67 model_max(sK2,sK2,sK5(sK0,sK1,sK2)) | ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | (~spl6_4 | ~spl6_52 | ~spl6_104)), 29.91/29.67 inference(forward_demodulation,[],[f1702,f632])). 29.91/29.67 tff(f1721,plain,( 29.91/29.67 ~spl6_307 | spl6_304 | ~spl6_4 | ~spl6_52 | ~spl6_104), 29.91/29.67 inference(avatar_split_clause,[],[f1720,f631,f304,f84,f1704,f1707])). 29.91/29.67 tff(f1722,plain,( 29.91/29.67 $less(summation(sK2),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))))) | (~spl6_124 | ~spl6_225)), 29.91/29.67 inference(resolution,[],[f807,f1193])). 29.91/29.67 tff(f1734,plain,( 29.91/29.67 spl6_312 <=> $less(summation(sK2),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_312])])). 29.91/29.67 tff(f1736,plain,( 29.91/29.67 spl6_312 | ~spl6_124 | spl6_225), 29.91/29.67 inference(avatar_split_clause,[],[f1722,f1192,f737,f1734])). 29.91/29.67 tff(f1737,plain,( 29.91/29.67 $less(max(sK0,sK1),sK1) | $less(max(sK0,sK1),sK0) | ~spl6_229), 29.91/29.67 inference(resolution,[],[f1214,f53])). 29.91/29.67 tff(f1738,plain,( 29.91/29.67 ~ub(sK0,sK1,sK1) | $less(sK1,sK0) | ~spl6_229), 29.91/29.67 inference(superposition,[],[f1214,f48])). 29.91/29.67 tff(f1739,plain,( 29.91/29.67 ~ub(sK0,sK1,sK0) | $less(sK0,sK1) | ~spl6_229), 29.91/29.67 inference(superposition,[],[f1214,f47])). 29.91/29.67 tff(f1740,plain,( 29.91/29.67 spl6_106 | spl6_108 | spl6_229), 29.91/29.67 inference(avatar_split_clause,[],[f1737,f1213,f666,f663])). 29.91/29.67 tff(f1742,plain,( 29.91/29.67 spl6_315 <=> ~ub(sK0,sK1,sK1)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_315])])). 29.91/29.67 tff(f1743,plain,( 29.91/29.67 ~ub(sK0,sK1,sK1) | ~spl6_315), 29.91/29.67 inference(avatar_component_clause,[],[f1742])). 29.91/29.67 tff(f1744,plain,( 29.91/29.67 spl6_34 | ~spl6_315 | spl6_229), 29.91/29.67 inference(avatar_split_clause,[],[f1738,f1213,f1742,f198])). 29.91/29.67 tff(f1746,plain,( 29.91/29.67 spl6_317 <=> ~ub(sK0,sK1,sK0)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_317])])). 29.91/29.67 tff(f1748,plain,( 29.91/29.67 spl6_38 | ~spl6_317 | spl6_229), 29.91/29.67 inference(avatar_split_clause,[],[f1739,f1213,f1746,f205])). 29.91/29.67 tff(f1750,plain,( 29.91/29.67 max($sum(c,summation(sK0)),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2) | $less(sK0,sK1) | ~spl6_192), 29.91/29.67 inference(superposition,[],[f1034,f47])). 29.91/29.67 tff(f1751,plain,( 29.91/29.67 $sum(c,summation(max(sK0,sK1))) = sK4(sK0,sK1,sK2) | $less($sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2)) | ~spl6_192), 29.91/29.67 inference(superposition,[],[f1034,f47])). 29.91/29.67 tff(f1752,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2)))) | model_max($sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_192)), 29.91/29.67 inference(superposition,[],[f793,f1034])). 29.91/29.67 tff(f1755,plain,( 29.91/29.67 $sum(c,summation(max(sK0,sK1))) = sK4(sK0,sK1,sK2) | $less($sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2)) | ~spl6_192), 29.91/29.67 inference(superposition,[],[f47,f1034])). 29.91/29.67 tff(f1757,plain,( 29.91/29.67 spl6_318 <=> max($sum(c,summation(sK0)),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_318])])). 29.91/29.67 tff(f1759,plain,( 29.91/29.67 spl6_38 | spl6_318 | ~spl6_192), 29.91/29.67 inference(avatar_split_clause,[],[f1750,f1033,f1757,f205])). 29.91/29.67 tff(f1761,plain,( 29.91/29.67 spl6_320 <=> $less($sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_320])])). 29.91/29.67 tff(f1764,plain,( 29.91/29.67 spl6_322 <=> $sum(c,summation(max(sK0,sK1))) = sK4(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_322])])). 29.91/29.67 tff(f1766,plain,( 29.91/29.67 spl6_320 | spl6_322 | ~spl6_192), 29.91/29.67 inference(avatar_split_clause,[],[f1751,f1033,f1764,f1761])). 29.91/29.67 tff(f1768,plain,( 29.91/29.67 spl6_324 <=> model_max($sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_324])])). 29.91/29.67 tff(f1771,plain,( 29.91/29.67 spl6_327 <=> ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_327])])). 29.91/29.67 tff(f1772,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2)))) | ~spl6_327), 29.91/29.67 inference(avatar_component_clause,[],[f1771])). 29.91/29.67 tff(f1773,plain,( 29.91/29.67 spl6_324 | ~spl6_327 | ~spl6_4 | ~spl6_192), 29.91/29.67 inference(avatar_split_clause,[],[f1752,f1033,f84,f1771,f1768])). 29.91/29.67 tff(f1774,plain,( 29.91/29.67 spl6_320 | spl6_322 | ~spl6_192), 29.91/29.67 inference(avatar_split_clause,[],[f1755,f1033,f1764,f1761])). 29.91/29.67 tff(f1775,plain,( 29.91/29.67 max(sK4(sK0,sK1,sK2),$sum(c,summation(sK1))) = sK4(sK0,sK1,sK2) | $less(sK1,sK0) | ~spl6_194), 29.91/29.67 inference(superposition,[],[f1038,f48])). 29.91/29.67 tff(f1776,plain,( 29.91/29.67 max(sK4(sK0,sK1,sK2),$sum(c,summation(sK0))) = sK4(sK0,sK1,sK2) | $less(sK0,sK1) | ~spl6_194), 29.91/29.67 inference(superposition,[],[f1038,f47])). 29.91/29.67 tff(f1777,plain,( 29.91/29.67 $sum(c,summation(max(sK0,sK1))) = sK4(sK0,sK1,sK2) | $less($sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2)) | ~spl6_194), 29.91/29.67 inference(superposition,[],[f1038,f48])). 29.91/29.67 tff(f1781,plain,( 29.91/29.67 $sum(c,summation(max(sK0,sK1))) = sK4(sK0,sK1,sK2) | $less($sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2)) | ~spl6_194), 29.91/29.67 inference(superposition,[],[f48,f1038])). 29.91/29.67 tff(f1782,plain,( 29.91/29.67 spl6_34 | spl6_202 | ~spl6_194), 29.91/29.67 inference(avatar_split_clause,[],[f1775,f1037,f1075,f198])). 29.91/29.67 tff(f1784,plain,( 29.91/29.67 spl6_328 <=> max(sK4(sK0,sK1,sK2),$sum(c,summation(sK0))) = sK4(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_328])])). 29.91/29.67 tff(f1786,plain,( 29.91/29.67 spl6_38 | spl6_328 | ~spl6_194), 29.91/29.67 inference(avatar_split_clause,[],[f1776,f1037,f1784,f205])). 29.91/29.67 tff(f1787,plain,( 29.91/29.67 spl6_320 | spl6_322 | ~spl6_194), 29.91/29.67 inference(avatar_split_clause,[],[f1777,f1037,f1764,f1761])). 29.91/29.67 tff(f1788,plain,( 29.91/29.67 spl6_320 | spl6_322 | ~spl6_194), 29.91/29.67 inference(avatar_split_clause,[],[f1781,f1037,f1764,f1761])). 29.91/29.67 tff(f1817,plain,( 29.91/29.67 $less(sK1,sK1) | $less(sK1,sK0) | ~spl6_315), 29.91/29.67 inference(resolution,[],[f1743,f53])). 29.91/29.67 tff(f1818,plain,( 29.91/29.67 spl6_34 | spl6_110 | spl6_315), 29.91/29.67 inference(avatar_split_clause,[],[f1817,f1742,f670,f198])). 29.91/29.67 tff(f1822,plain,( 29.91/29.67 ~$less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))))))) | ~spl6_147), 29.91/29.67 inference(resolution,[],[f841,f49])). 29.91/29.67 tff(f1823,plain,( 29.91/29.67 summation(sK5(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))))),summation(sK5(sK0,sK1,sK2))) | ~spl6_147), 29.91/29.67 inference(resolution,[],[f841,f48])). 29.91/29.67 tff(f1824,plain,( 29.91/29.67 summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))))) | ~spl6_147), 29.91/29.67 inference(resolution,[],[f841,f47])). 29.91/29.67 tff(f1826,plain,( 29.91/29.67 spl6_331 <=> ~$less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_331])])). 29.91/29.67 tff(f1828,plain,( 29.91/29.67 ~spl6_331 | spl6_147), 29.91/29.67 inference(avatar_split_clause,[],[f1822,f840,f1826])). 29.91/29.67 tff(f1830,plain,( 29.91/29.67 spl6_332 <=> summation(sK5(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))))),summation(sK5(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_332])])). 29.91/29.67 tff(f1832,plain,( 29.91/29.67 spl6_332 | spl6_147), 29.91/29.67 inference(avatar_split_clause,[],[f1823,f840,f1830])). 29.91/29.67 tff(f1834,plain,( 29.91/29.67 spl6_334 <=> summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_334])])). 29.91/29.67 tff(f1836,plain,( 29.91/29.67 spl6_334 | spl6_147), 29.91/29.67 inference(avatar_split_clause,[],[f1824,f840,f1834])). 29.91/29.67 tff(f1853,plain,( 29.91/29.67 $sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))) = sK5(sK0,sK1,sK2) | $less($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))),sK5(sK0,sK1,sK2)) | ~spl6_148), 29.91/29.67 inference(superposition,[],[f845,f47])). 29.91/29.67 tff(f1854,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK5(sK0,sK1,sK2)))) | model_max($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))),sK5(sK0,sK1,sK2),sK5(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_148)), 29.91/29.67 inference(superposition,[],[f793,f845])). 29.91/29.67 tff(f1857,plain,( 29.91/29.67 $sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))) = sK5(sK0,sK1,sK2) | $less($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))),sK5(sK0,sK1,sK2)) | ~spl6_148), 29.91/29.67 inference(superposition,[],[f47,f845])). 29.91/29.67 tff(f1859,plain,( 29.91/29.67 spl6_336 <=> $less($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))),sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_336])])). 29.91/29.67 tff(f1862,plain,( 29.91/29.67 spl6_338 <=> $sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))) = sK5(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_338])])). 29.91/29.67 tff(f1864,plain,( 29.91/29.67 spl6_336 | spl6_338 | ~spl6_148), 29.91/29.67 inference(avatar_split_clause,[],[f1853,f844,f1862,f1859])). 29.91/29.67 tff(f1866,plain,( 29.91/29.67 spl6_340 <=> model_max($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))),sK5(sK0,sK1,sK2),sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_340])])). 29.91/29.67 tff(f1869,plain,( 29.91/29.67 spl6_343 <=> ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK5(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_343])])). 29.91/29.67 tff(f1870,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK5(sK0,sK1,sK2)))) | ~spl6_343), 29.91/29.67 inference(avatar_component_clause,[],[f1869])). 29.91/29.67 tff(f1871,plain,( 29.91/29.67 spl6_340 | ~spl6_343 | ~spl6_4 | ~spl6_148), 29.91/29.67 inference(avatar_split_clause,[],[f1854,f844,f84,f1869,f1866])). 29.91/29.67 tff(f1872,plain,( 29.91/29.67 spl6_336 | spl6_338 | ~spl6_148), 29.91/29.67 inference(avatar_split_clause,[],[f1857,f844,f1862,f1859])). 29.91/29.67 tff(f1889,plain,( 29.91/29.67 $less(summation(summation(summation(sK2))),summation(summation(sK2))) | ~spl6_274), 29.91/29.67 inference(resolution,[],[f1488,f50])). 29.91/29.67 tff(f1891,plain,( 29.91/29.67 spl6_344 <=> $less(summation(summation(summation(sK2))),summation(summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_344])])). 29.91/29.67 tff(f1893,plain,( 29.91/29.67 spl6_344 | ~spl6_274), 29.91/29.67 inference(avatar_split_clause,[],[f1889,f1487,f1891])). 29.91/29.67 tff(f1903,plain,( 29.91/29.67 ~$less(summation(sK5(sK0,sK1,sK5(sK0,sK1,sK2))),summation($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))))))) | ~spl6_257), 29.91/29.67 inference(resolution,[],[f1390,f49])). 29.91/29.67 tff(f1904,plain,( 29.91/29.67 max($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))))),sK5(sK0,sK1,sK5(sK0,sK1,sK2))) = sK5(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_257), 29.91/29.67 inference(resolution,[],[f1390,f48])). 29.91/29.67 tff(f1905,plain,( 29.91/29.67 max(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2)))))) = sK5(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_257), 29.91/29.67 inference(resolution,[],[f1390,f47])). 29.91/29.67 tff(f1907,plain,( 29.91/29.67 spl6_347 <=> ~$less(summation(sK5(sK0,sK1,sK5(sK0,sK1,sK2))),summation($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2)))))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_347])])). 29.91/29.67 tff(f1909,plain,( 29.91/29.67 ~spl6_347 | spl6_257), 29.91/29.67 inference(avatar_split_clause,[],[f1903,f1389,f1907])). 29.91/29.67 tff(f1911,plain,( 29.91/29.67 spl6_348 <=> max($sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))))),sK5(sK0,sK1,sK5(sK0,sK1,sK2))) = sK5(sK0,sK1,sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_348])])). 29.91/29.67 tff(f1913,plain,( 29.91/29.67 spl6_348 | spl6_257), 29.91/29.67 inference(avatar_split_clause,[],[f1904,f1389,f1911])). 29.91/29.67 tff(f1915,plain,( 29.91/29.67 spl6_350 <=> max(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2)))))) = sK5(sK0,sK1,sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_350])])). 29.91/29.67 tff(f1917,plain,( 29.91/29.67 spl6_350 | spl6_257), 29.91/29.67 inference(avatar_split_clause,[],[f1905,f1389,f1915])). 29.91/29.67 tff(f1932,plain,( 29.91/29.67 $less(summation(summation(sK5(sK0,sK1,sK2))),summation(sK2)) | ~spl6_218), 29.91/29.67 inference(resolution,[],[f1172,f50])). 29.91/29.67 tff(f1934,plain,( 29.91/29.67 spl6_352 <=> $less(summation(summation(sK5(sK0,sK1,sK2))),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_352])])). 29.91/29.67 tff(f1936,plain,( 29.91/29.67 spl6_352 | ~spl6_218), 29.91/29.67 inference(avatar_split_clause,[],[f1932,f1171,f1934])). 29.91/29.67 tff(f1937,plain,( 29.91/29.67 ~model_ub(sK0,sK1,$sum(c,summation(sK0))) | model_ub(sK0,sK1,sK5(sK0,sK1,$sum(c,summation(sK0)))) | ~spl6_245), 29.91/29.67 inference(resolution,[],[f1302,f63])). 29.91/29.67 tff(f1938,plain,( 29.91/29.67 ~model_ub(sK0,sK1,$sum(c,summation(sK0))) | $less(sK5(sK0,sK1,$sum(c,summation(sK0))),$sum(c,summation(sK0))) | ~spl6_245), 29.91/29.67 inference(resolution,[],[f1302,f64])). 29.91/29.67 tff(f1940,plain,( 29.91/29.67 spl6_354 <=> model_ub(sK0,sK1,sK5(sK0,sK1,$sum(c,summation(sK0))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_354])])). 29.91/29.67 tff(f1943,plain,( 29.91/29.67 spl6_357 <=> ~model_ub(sK0,sK1,$sum(c,summation(sK0)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_357])])). 29.91/29.67 tff(f1944,plain,( 29.91/29.67 ~model_ub(sK0,sK1,$sum(c,summation(sK0))) | ~spl6_357), 29.91/29.67 inference(avatar_component_clause,[],[f1943])). 29.91/29.67 tff(f1945,plain,( 29.91/29.67 spl6_354 | ~spl6_357 | spl6_245), 29.91/29.67 inference(avatar_split_clause,[],[f1937,f1301,f1943,f1940])). 29.91/29.67 tff(f1947,plain,( 29.91/29.67 spl6_358 <=> $less(sK5(sK0,sK1,$sum(c,summation(sK0))),$sum(c,summation(sK0)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_358])])). 29.91/29.67 tff(f1949,plain,( 29.91/29.67 spl6_358 | ~spl6_357 | spl6_245), 29.91/29.67 inference(avatar_split_clause,[],[f1938,f1301,f1943,f1947])). 29.91/29.67 tff(f1950,plain,( 29.91/29.67 ~model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | model_ub(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | ~spl6_119), 29.91/29.67 inference(resolution,[],[f1588,f63])). 29.91/29.67 tff(f1952,plain,( 29.91/29.67 ~model_ub(sK0,sK1,$sum(c,summation(sK2))) | model_ub(sK0,sK1,sK5(sK0,sK1,$sum(c,summation(sK2)))) | ~spl6_307), 29.91/29.67 inference(resolution,[],[f1708,f63])). 29.91/29.67 tff(f1953,plain,( 29.91/29.67 ~model_ub(sK0,sK1,$sum(c,summation(sK2))) | $less(sK5(sK0,sK1,$sum(c,summation(sK2))),$sum(c,summation(sK2))) | ~spl6_307), 29.91/29.67 inference(resolution,[],[f1708,f64])). 29.91/29.67 tff(f1955,plain,( 29.91/29.67 spl6_360 <=> model_ub(sK0,sK1,sK5(sK0,sK1,$sum(c,summation(sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_360])])). 29.91/29.67 tff(f1958,plain,( 29.91/29.67 spl6_363 <=> ~model_ub(sK0,sK1,$sum(c,summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_363])])). 29.91/29.67 tff(f1960,plain,( 29.91/29.67 spl6_360 | ~spl6_363 | spl6_307), 29.91/29.67 inference(avatar_split_clause,[],[f1952,f1707,f1958,f1955])). 29.91/29.67 tff(f1962,plain,( 29.91/29.67 spl6_364 <=> $less(sK5(sK0,sK1,$sum(c,summation(sK2))),$sum(c,summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_364])])). 29.91/29.67 tff(f1964,plain,( 29.91/29.67 spl6_364 | ~spl6_363 | spl6_307), 29.91/29.67 inference(avatar_split_clause,[],[f1953,f1707,f1958,f1962])). 29.91/29.67 tff(f1965,plain,( 29.91/29.67 $less($sum(c,summation(sK1)),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))))) | (~spl6_124 | ~spl6_215)), 29.91/29.67 inference(resolution,[],[f1148,f807])). 29.91/29.67 tff(f1966,plain,( 29.91/29.67 $less($sum(c,summation(sK1)),sK2) | (~spl6_44 | ~spl6_104 | ~spl6_215)), 29.91/29.67 inference(resolution,[],[f1148,f1321])). 29.91/29.67 tff(f1970,plain,( 29.91/29.67 spl6_366 <=> $less($sum(c,summation(sK1)),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_366])])). 29.91/29.67 tff(f1972,plain,( 29.91/29.67 spl6_366 | ~spl6_124 | spl6_215), 29.91/29.67 inference(avatar_split_clause,[],[f1965,f1147,f737,f1970])). 29.91/29.67 tff(f1974,plain,( 29.91/29.67 spl6_368 <=> $less($sum(c,summation(sK1)),sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_368])])). 29.91/29.67 tff(f1975,plain,( 29.91/29.67 $less($sum(c,summation(sK1)),sK2) | ~spl6_368), 29.91/29.67 inference(avatar_component_clause,[],[f1974])). 29.91/29.67 tff(f1976,plain,( 29.91/29.67 spl6_368 | ~spl6_44 | ~spl6_104 | spl6_215), 29.91/29.67 inference(avatar_split_clause,[],[f1966,f1147,f631,f231,f1974])). 29.91/29.67 tff(f1977,plain,( 29.91/29.67 ~minsol_model_ub(sK0,sK1,$sum(c,summation(summation(sK2)))) | model_max(summation(sK2),summation(sK2),sK5(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_26)), 29.91/29.67 inference(superposition,[],[f793,f167])). 29.91/29.67 tff(f1981,plain,( 29.91/29.67 spl6_370 <=> model_max(summation(sK2),summation(sK2),sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_370])])). 29.91/29.67 tff(f1984,plain,( 29.91/29.67 spl6_373 <=> ~minsol_model_ub(sK0,sK1,$sum(c,summation(summation(sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_373])])). 29.91/29.67 tff(f1986,plain,( 29.91/29.67 spl6_370 | ~spl6_373 | ~spl6_4 | ~spl6_26), 29.91/29.67 inference(avatar_split_clause,[],[f1977,f166,f84,f1984,f1981])). 29.91/29.67 tff(f1990,plain,( 29.91/29.67 ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK0))) | ~spl6_59), 29.91/29.67 inference(resolution,[],[f339,f49])). 29.91/29.67 tff(f1991,plain,( 29.91/29.67 summation(sK3(sK0,sK1,sK2)) = max(summation(sK0),summation(sK3(sK0,sK1,sK2))) | ~spl6_59), 29.91/29.67 inference(resolution,[],[f339,f48])). 29.91/29.67 tff(f1992,plain,( 29.91/29.67 summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation(sK0)) | ~spl6_59), 29.91/29.67 inference(resolution,[],[f339,f47])). 29.91/29.67 tff(f1994,plain,( 29.91/29.67 spl6_375 <=> ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK0)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_375])])). 29.91/29.67 tff(f1996,plain,( 29.91/29.67 ~spl6_375 | spl6_59), 29.91/29.67 inference(avatar_split_clause,[],[f1990,f338,f1994])). 29.91/29.67 tff(f1998,plain,( 29.91/29.67 spl6_376 <=> summation(sK3(sK0,sK1,sK2)) = max(summation(sK0),summation(sK3(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_376])])). 29.91/29.67 tff(f2000,plain,( 29.91/29.67 spl6_376 | spl6_59), 29.91/29.67 inference(avatar_split_clause,[],[f1991,f338,f1998])). 29.91/29.67 tff(f2002,plain,( 29.91/29.67 spl6_378 <=> summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation(sK0))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_378])])). 29.91/29.67 tff(f2004,plain,( 29.91/29.67 spl6_378 | spl6_59), 29.91/29.67 inference(avatar_split_clause,[],[f1992,f338,f2002])). 29.91/29.67 tff(f2009,plain,( 29.91/29.67 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK0))))) | ~spl6_67), 29.91/29.67 inference(resolution,[],[f436,f49])). 29.91/29.67 tff(f2010,plain,( 29.91/29.67 summation(sK2) = max(summation($sum(c,summation(sK0))),summation(sK2)) | ~spl6_67), 29.91/29.67 inference(resolution,[],[f436,f48])). 29.91/29.67 tff(f2011,plain,( 29.91/29.67 summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK0)))) | ~spl6_67), 29.91/29.67 inference(resolution,[],[f436,f47])). 29.91/29.67 tff(f2013,plain,( 29.91/29.67 spl6_381 <=> ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK0)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_381])])). 29.91/29.67 tff(f2015,plain,( 29.91/29.67 ~spl6_381 | spl6_67), 29.91/29.67 inference(avatar_split_clause,[],[f2009,f435,f2013])). 29.91/29.67 tff(f2017,plain,( 29.91/29.67 spl6_382 <=> summation(sK2) = max(summation($sum(c,summation(sK0))),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_382])])). 29.91/29.67 tff(f2019,plain,( 29.91/29.67 spl6_382 | spl6_67), 29.91/29.67 inference(avatar_split_clause,[],[f2010,f435,f2017])). 29.91/29.67 tff(f2021,plain,( 29.91/29.67 spl6_384 <=> summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK0))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_384])])). 29.91/29.67 tff(f2023,plain,( 29.91/29.67 spl6_384 | spl6_67), 29.91/29.67 inference(avatar_split_clause,[],[f2011,f435,f2021])). 29.91/29.67 tff(f2024,plain,( 29.91/29.67 $sum(c,summation(sK0)) = sK2 | $less($sum(c,summation(sK0)),sK2) | ~spl6_68), 29.91/29.67 inference(superposition,[],[f440,f47])). 29.91/29.67 tff(f2028,plain,( 29.91/29.67 $sum(c,summation(sK0)) = sK2 | $less($sum(c,summation(sK0)),sK2) | ~spl6_68), 29.91/29.67 inference(superposition,[],[f47,f440])). 29.91/29.67 tff(f2030,plain,( 29.91/29.67 spl6_386 <=> $less($sum(c,summation(sK0)),sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_386])])). 29.91/29.67 tff(f2031,plain,( 29.91/29.67 $less($sum(c,summation(sK0)),sK2) | ~spl6_386), 29.91/29.67 inference(avatar_component_clause,[],[f2030])). 29.91/29.67 tff(f2033,plain,( 29.91/29.67 spl6_388 <=> $sum(c,summation(sK0)) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_388])])). 29.91/29.67 tff(f2035,plain,( 29.91/29.67 spl6_386 | spl6_388 | ~spl6_68), 29.91/29.67 inference(avatar_split_clause,[],[f2024,f439,f2033,f2030])). 29.91/29.67 tff(f2036,plain,( 29.91/29.67 spl6_386 | spl6_388 | ~spl6_68), 29.91/29.67 inference(avatar_split_clause,[],[f2028,f439,f2033,f2030])). 29.91/29.67 tff(f2045,plain,( 29.91/29.67 ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK1))) | ~spl6_73), 29.91/29.67 inference(resolution,[],[f458,f49])). 29.91/29.67 tff(f2046,plain,( 29.91/29.67 summation(sK3(sK0,sK1,sK2)) = max(summation(sK1),summation(sK3(sK0,sK1,sK2))) | ~spl6_73), 29.91/29.67 inference(resolution,[],[f458,f48])). 29.91/29.67 tff(f2047,plain,( 29.91/29.67 summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation(sK1)) | ~spl6_73), 29.91/29.67 inference(resolution,[],[f458,f47])). 29.91/29.67 tff(f2049,plain,( 29.91/29.67 spl6_391 <=> ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK1)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_391])])). 29.91/29.67 tff(f2051,plain,( 29.91/29.67 ~spl6_391 | spl6_73), 29.91/29.67 inference(avatar_split_clause,[],[f2045,f457,f2049])). 29.91/29.67 tff(f2053,plain,( 29.91/29.67 spl6_392 <=> summation(sK3(sK0,sK1,sK2)) = max(summation(sK1),summation(sK3(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_392])])). 29.91/29.67 tff(f2055,plain,( 29.91/29.67 spl6_392 | spl6_73), 29.91/29.67 inference(avatar_split_clause,[],[f2046,f457,f2053])). 29.91/29.67 tff(f2057,plain,( 29.91/29.67 spl6_394 <=> summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation(sK1))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_394])])). 29.91/29.67 tff(f2059,plain,( 29.91/29.67 spl6_394 | spl6_73), 29.91/29.67 inference(avatar_split_clause,[],[f2047,f457,f2057])). 29.91/29.67 tff(f2065,plain,( 29.91/29.67 $less(summation($sum(c,summation(sK0))),summation(sK2)) | ~spl6_386), 29.91/29.67 inference(resolution,[],[f2031,f50])). 29.91/29.67 tff(f2067,plain,( 29.91/29.67 spl6_396 <=> $less(summation($sum(c,summation(sK0))),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_396])])). 29.91/29.67 tff(f2069,plain,( 29.91/29.67 spl6_396 | ~spl6_386), 29.91/29.67 inference(avatar_split_clause,[],[f2065,f2030,f2067])). 29.91/29.67 tff(f2073,plain,( 29.91/29.67 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK1))))) | ~spl6_81), 29.91/29.67 inference(resolution,[],[f536,f49])). 29.91/29.67 tff(f2074,plain,( 29.91/29.67 summation(sK2) = max(summation($sum(c,summation(sK1))),summation(sK2)) | ~spl6_81), 29.91/29.67 inference(resolution,[],[f536,f48])). 29.91/29.67 tff(f2075,plain,( 29.91/29.67 summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK1)))) | ~spl6_81), 29.91/29.67 inference(resolution,[],[f536,f47])). 29.91/29.67 tff(f2077,plain,( 29.91/29.67 spl6_399 <=> ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK1)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_399])])). 29.91/29.67 tff(f2079,plain,( 29.91/29.67 ~spl6_399 | spl6_81), 29.91/29.67 inference(avatar_split_clause,[],[f2073,f535,f2077])). 29.91/29.67 tff(f2081,plain,( 29.91/29.67 spl6_400 <=> summation(sK2) = max(summation($sum(c,summation(sK1))),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_400])])). 29.91/29.67 tff(f2083,plain,( 29.91/29.67 spl6_400 | spl6_81), 29.91/29.67 inference(avatar_split_clause,[],[f2074,f535,f2081])). 29.91/29.67 tff(f2085,plain,( 29.91/29.67 spl6_402 <=> summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK1))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_402])])). 29.91/29.67 tff(f2087,plain,( 29.91/29.67 spl6_402 | spl6_81), 29.91/29.67 inference(avatar_split_clause,[],[f2075,f535,f2085])). 29.91/29.67 tff(f2102,plain,( 29.91/29.67 $less(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2)) | ~spl6_92), 29.91/29.67 inference(resolution,[],[f589,f50])). 29.91/29.67 tff(f2106,plain,( 29.91/29.67 spl6_404 <=> $less(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_404])])). 29.91/29.67 tff(f2108,plain,( 29.91/29.67 spl6_404 | ~spl6_92), 29.91/29.67 inference(avatar_split_clause,[],[f2102,f588,f2106])). 29.91/29.67 tff(f2112,plain,( 29.91/29.67 ~$less(summation(summation(sK2)),summation(summation(sK5(sK0,sK1,sK2)))) | ~spl6_131), 29.91/29.67 inference(resolution,[],[f775,f49])). 29.91/29.67 tff(f2113,plain,( 29.91/29.67 summation(sK2) = max(summation(sK5(sK0,sK1,sK2)),summation(sK2)) | ~spl6_131), 29.91/29.67 inference(resolution,[],[f775,f48])). 29.91/29.67 tff(f2114,plain,( 29.91/29.67 summation(sK2) = max(summation(sK2),summation(sK5(sK0,sK1,sK2))) | ~spl6_131), 29.91/29.67 inference(resolution,[],[f775,f47])). 29.91/29.67 tff(f2116,plain,( 29.91/29.67 spl6_407 <=> ~$less(summation(summation(sK2)),summation(summation(sK5(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_407])])). 29.91/29.67 tff(f2118,plain,( 29.91/29.67 ~spl6_407 | spl6_131), 29.91/29.67 inference(avatar_split_clause,[],[f2112,f774,f2116])). 29.91/29.67 tff(f2120,plain,( 29.91/29.67 spl6_408 <=> summation(sK2) = max(summation(sK5(sK0,sK1,sK2)),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_408])])). 29.91/29.67 tff(f2122,plain,( 29.91/29.67 spl6_408 | spl6_131), 29.91/29.67 inference(avatar_split_clause,[],[f2113,f774,f2120])). 29.91/29.67 tff(f2124,plain,( 29.91/29.67 spl6_410 <=> summation(sK2) = max(summation(sK2),summation(sK5(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_410])])). 29.91/29.67 tff(f2126,plain,( 29.91/29.67 spl6_410 | spl6_131), 29.91/29.67 inference(avatar_split_clause,[],[f2114,f774,f2124])). 29.91/29.67 tff(f2140,plain,( 29.91/29.67 ~$less(summation(summation(sK2)),summation(summation(sK4(sK0,sK1,sK2)))) | ~spl6_185), 29.91/29.67 inference(resolution,[],[f1005,f49])). 29.91/29.67 tff(f2141,plain,( 29.91/29.67 summation(sK2) = max(summation(sK4(sK0,sK1,sK2)),summation(sK2)) | ~spl6_185), 29.91/29.67 inference(resolution,[],[f1005,f48])). 29.91/29.67 tff(f2142,plain,( 29.91/29.67 summation(sK2) = max(summation(sK2),summation(sK4(sK0,sK1,sK2))) | ~spl6_185), 29.91/29.67 inference(resolution,[],[f1005,f47])). 29.91/29.67 tff(f2144,plain,( 29.91/29.67 spl6_413 <=> ~$less(summation(summation(sK2)),summation(summation(sK4(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_413])])). 29.91/29.67 tff(f2146,plain,( 29.91/29.67 ~spl6_413 | spl6_185), 29.91/29.67 inference(avatar_split_clause,[],[f2140,f1004,f2144])). 29.91/29.67 tff(f2148,plain,( 29.91/29.67 spl6_414 <=> summation(sK2) = max(summation(sK4(sK0,sK1,sK2)),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_414])])). 29.91/29.67 tff(f2150,plain,( 29.91/29.67 spl6_414 | spl6_185), 29.91/29.67 inference(avatar_split_clause,[],[f2141,f1004,f2148])). 29.91/29.67 tff(f2152,plain,( 29.91/29.67 spl6_416 <=> summation(sK2) = max(summation(sK2),summation(sK4(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_416])])). 29.91/29.67 tff(f2154,plain,( 29.91/29.67 spl6_416 | spl6_185), 29.91/29.67 inference(avatar_split_clause,[],[f2142,f1004,f2152])). 29.91/29.67 tff(f2159,plain,( 29.91/29.67 $less(summation($sum(c,summation(sK1))),summation(sK2)) | ~spl6_368), 29.91/29.67 inference(resolution,[],[f1975,f50])). 29.91/29.67 tff(f2161,plain,( 29.91/29.67 spl6_418 <=> $less(summation($sum(c,summation(sK1))),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_418])])). 29.91/29.67 tff(f2163,plain,( 29.91/29.67 spl6_418 | ~spl6_368), 29.91/29.67 inference(avatar_split_clause,[],[f2159,f1974,f2161])). 29.91/29.67 tff(f2183,plain,( 29.91/29.67 $less($sum(c,summation(max(sK0,sK1))),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))))) | (~spl6_124 | ~spl6_155)), 29.91/29.67 inference(resolution,[],[f872,f807])). 29.91/29.67 tff(f2190,plain,( 29.91/29.67 spl6_420 <=> $less($sum(c,summation(max(sK0,sK1))),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_420])])). 29.91/29.67 tff(f2192,plain,( 29.91/29.67 spl6_420 | ~spl6_124 | spl6_155), 29.91/29.67 inference(avatar_split_clause,[],[f2183,f871,f737,f2190])). 29.91/29.67 tff(f2195,plain,( 29.91/29.67 ~$less(summation(sK2),summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | ~spl6_265), 29.91/29.67 inference(resolution,[],[f1416,f49])). 29.91/29.67 tff(f2196,plain,( 29.91/29.67 max(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK2) = sK2 | ~spl6_265), 29.91/29.67 inference(resolution,[],[f1416,f48])). 29.91/29.67 tff(f2197,plain,( 29.91/29.67 max(sK2,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) = sK2 | ~spl6_265), 29.91/29.67 inference(resolution,[],[f1416,f47])). 29.91/29.67 tff(f2199,plain,( 29.91/29.67 spl6_423 <=> ~$less(summation(sK2),summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_423])])). 29.91/29.67 tff(f2201,plain,( 29.91/29.67 ~spl6_423 | spl6_265), 29.91/29.67 inference(avatar_split_clause,[],[f2195,f1415,f2199])). 29.91/29.67 tff(f2203,plain,( 29.91/29.67 spl6_424 <=> max(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK2) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_424])])). 29.91/29.67 tff(f2205,plain,( 29.91/29.67 spl6_424 | spl6_265), 29.91/29.67 inference(avatar_split_clause,[],[f2196,f1415,f2203])). 29.91/29.67 tff(f2207,plain,( 29.91/29.67 spl6_426 <=> max(sK2,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_426])])). 29.91/29.67 tff(f2209,plain,( 29.91/29.67 spl6_426 | spl6_265), 29.91/29.67 inference(avatar_split_clause,[],[f2197,f1415,f2207])). 29.91/29.67 tff(f2212,plain,( 29.91/29.67 ~$less(summation(sK2),summation(sK5(sK0,sK1,sK5(sK0,sK1,sK2)))) | ~spl6_283), 29.91/29.67 inference(resolution,[],[f1524,f49])). 29.91/29.67 tff(f2213,plain,( 29.91/29.67 max(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),sK2) = sK2 | ~spl6_283), 29.91/29.67 inference(resolution,[],[f1524,f48])). 29.91/29.67 tff(f2214,plain,( 29.91/29.67 max(sK2,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) = sK2 | ~spl6_283), 29.91/29.67 inference(resolution,[],[f1524,f47])). 29.91/29.67 tff(f2216,plain,( 29.91/29.67 spl6_429 <=> ~$less(summation(sK2),summation(sK5(sK0,sK1,sK5(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_429])])). 29.91/29.67 tff(f2218,plain,( 29.91/29.67 ~spl6_429 | spl6_283), 29.91/29.67 inference(avatar_split_clause,[],[f2212,f1523,f2216])). 29.91/29.67 tff(f2220,plain,( 29.91/29.67 spl6_430 <=> max(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),sK2) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_430])])). 29.91/29.67 tff(f2222,plain,( 29.91/29.67 spl6_430 | spl6_283), 29.91/29.67 inference(avatar_split_clause,[],[f2213,f1523,f2220])). 29.91/29.67 tff(f2224,plain,( 29.91/29.67 spl6_432 <=> max(sK2,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) = sK2), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_432])])). 29.91/29.67 tff(f2226,plain,( 29.91/29.67 spl6_432 | spl6_283), 29.91/29.67 inference(avatar_split_clause,[],[f2214,f1523,f2224])). 29.91/29.67 tff(f2237,plain,( 29.91/29.67 $less($sum(c,summation(sK0)),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))))) | (~spl6_124 | ~spl6_357)), 29.91/29.67 inference(resolution,[],[f1944,f807])). 29.91/29.67 tff(f2242,plain,( 29.91/29.67 spl6_434 <=> $less($sum(c,summation(sK0)),$sum(c,summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_434])])). 29.91/29.67 tff(f2244,plain,( 29.91/29.67 spl6_434 | ~spl6_124 | spl6_357), 29.91/29.67 inference(avatar_split_clause,[],[f2237,f1943,f737,f2242])). 29.91/29.67 tff(f2249,plain,( 29.91/29.67 $less(summation(sK5(sK0,sK1,sK2)),$sum(c,summation(sK2))) | ~minsol_model_max(sK2,sK2,summation(sK2)) | (~spl6_22 | ~spl6_114)), 29.91/29.67 inference(resolution,[],[f330,f760])). 29.91/29.67 tff(f2250,plain,( 29.91/29.67 $less(summation(sK4(sK0,sK1,sK2)),$sum(c,summation(sK2))) | ~minsol_model_max(sK2,sK2,summation(sK2)) | (~spl6_22 | ~spl6_170)), 29.91/29.67 inference(resolution,[],[f330,f978])). 29.91/29.67 tff(f2251,plain,( 29.91/29.67 $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK2))) | ~minsol_model_max(sK2,sK2,sK2) | (~spl6_14 | ~spl6_22)), 29.91/29.67 inference(resolution,[],[f330,f928])). 29.91/29.67 tff(f2252,plain,( 29.91/29.67 $less(sK5(sK0,sK1,sK2),$sum(c,summation(sK2))) | ~minsol_model_max(sK2,sK2,sK2) | (~spl6_8 | ~spl6_22)), 29.91/29.67 inference(resolution,[],[f330,f708])). 29.91/29.67 tff(f2253,plain,( 29.91/29.67 $less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),$sum(c,summation(sK2))) | ~minsol_model_max(sK2,sK2,sK5(sK0,sK1,sK2)) | (~spl6_22 | ~spl6_120)), 29.91/29.67 inference(resolution,[],[f330,f825])). 29.91/29.67 tff(f2256,plain,( 29.91/29.67 spl6_437 <=> ~minsol_model_max(sK2,sK2,summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_437])])). 29.91/29.67 tff(f2257,plain,( 29.91/29.67 ~minsol_model_max(sK2,sK2,summation(sK2)) | ~spl6_437), 29.91/29.67 inference(avatar_component_clause,[],[f2256])). 29.91/29.67 tff(f2259,plain,( 29.91/29.67 spl6_438 <=> $less(summation(sK5(sK0,sK1,sK2)),$sum(c,summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_438])])). 29.91/29.67 tff(f2261,plain,( 29.91/29.67 ~spl6_437 | spl6_438 | ~spl6_22 | ~spl6_114), 29.91/29.67 inference(avatar_split_clause,[],[f2249,f713,f151,f2259,f2256])). 29.91/29.67 tff(f2263,plain,( 29.91/29.67 spl6_440 <=> $less(summation(sK4(sK0,sK1,sK2)),$sum(c,summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_440])])). 29.91/29.67 tff(f2265,plain,( 29.91/29.67 ~spl6_437 | spl6_440 | ~spl6_22 | ~spl6_170), 29.91/29.67 inference(avatar_split_clause,[],[f2250,f933,f151,f2263,f2256])). 29.91/29.67 tff(f2267,plain,( 29.91/29.67 spl6_443 <=> ~minsol_model_max(sK2,sK2,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_443])])). 29.91/29.67 tff(f2268,plain,( 29.91/29.67 ~minsol_model_max(sK2,sK2,sK2) | ~spl6_443), 29.91/29.67 inference(avatar_component_clause,[],[f2267])). 29.91/29.67 tff(f2270,plain,( 29.91/29.67 spl6_444 <=> $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_444])])). 29.91/29.67 tff(f2272,plain,( 29.91/29.67 ~spl6_443 | spl6_444 | ~spl6_14 | ~spl6_22), 29.91/29.67 inference(avatar_split_clause,[],[f2251,f151,f110,f2270,f2267])). 29.91/29.67 tff(f2274,plain,( 29.91/29.67 spl6_446 <=> $less(sK5(sK0,sK1,sK2),$sum(c,summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_446])])). 29.91/29.67 tff(f2276,plain,( 29.91/29.67 ~spl6_443 | spl6_446 | ~spl6_8 | ~spl6_22), 29.91/29.67 inference(avatar_split_clause,[],[f2252,f151,f91,f2274,f2267])). 29.91/29.67 tff(f2278,plain,( 29.91/29.67 spl6_449 <=> ~minsol_model_max(sK2,sK2,sK5(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_449])])). 29.91/29.67 tff(f2281,plain,( 29.91/29.67 spl6_450 <=> $less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),$sum(c,summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_450])])). 29.91/29.67 tff(f2283,plain,( 29.91/29.67 ~spl6_449 | spl6_450 | ~spl6_22 | ~spl6_120), 29.91/29.67 inference(avatar_split_clause,[],[f2253,f729,f151,f2281,f2278])). 29.91/29.67 tff(f2336,plain,( 29.91/29.67 ~model_max(sK2,sK2,sK2) | model_max(sK2,sK2,sK4(sK2,sK2,sK2)) | ~spl6_443), 29.91/29.67 inference(resolution,[],[f2268,f59])). 29.91/29.67 tff(f2337,plain,( 29.91/29.67 ~model_max(sK2,sK2,sK2) | $less(sK4(sK2,sK2,sK2),sK2) | ~spl6_443), 29.91/29.67 inference(resolution,[],[f2268,f60])). 29.91/29.67 tff(f2339,plain,( 29.91/29.67 spl6_452 <=> model_max(sK2,sK2,sK4(sK2,sK2,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_452])])). 29.91/29.67 tff(f2342,plain,( 29.91/29.67 spl6_455 <=> ~model_max(sK2,sK2,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_455])])). 29.91/29.67 tff(f2343,plain,( 29.91/29.67 ~model_max(sK2,sK2,sK2) | ~spl6_455), 29.91/29.67 inference(avatar_component_clause,[],[f2342])). 29.91/29.67 tff(f2344,plain,( 29.91/29.67 spl6_452 | ~spl6_455 | spl6_443), 29.91/29.67 inference(avatar_split_clause,[],[f2336,f2267,f2342,f2339])). 29.91/29.67 tff(f2346,plain,( 29.91/29.67 spl6_456 <=> $less(sK4(sK2,sK2,sK2),sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_456])])). 29.91/29.67 tff(f2348,plain,( 29.91/29.67 spl6_456 | ~spl6_455 | spl6_443), 29.91/29.67 inference(avatar_split_clause,[],[f2337,f2267,f2342,f2346])). 29.91/29.67 tff(f2409,plain,( 29.91/29.67 $less(sK2,$sum(c,summation(sK2))) | (~spl6_22 | ~spl6_455)), 29.91/29.67 inference(resolution,[],[f2343,f330])). 29.91/29.67 tff(f2411,plain,( 29.91/29.67 $less(sK2,$sum(c,summation(max(sK2,sK2)))) | ~spl6_455), 29.91/29.67 inference(resolution,[],[f2343,f57])). 29.91/29.67 tff(f2413,plain,( 29.91/29.67 spl6_458 <=> $less(sK2,$sum(c,summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_458])])). 29.91/29.67 tff(f2415,plain,( 29.91/29.67 spl6_458 | ~spl6_22 | spl6_455), 29.91/29.67 inference(avatar_split_clause,[],[f2409,f2342,f151,f2413])). 29.91/29.67 tff(f2416,plain,( 29.91/29.67 $less(sK2,$sum(c,summation(sK2))) | (~spl6_22 | ~spl6_455)), 29.91/29.67 inference(forward_demodulation,[],[f2411,f152])). 29.91/29.67 tff(f2417,plain,( 29.91/29.67 spl6_458 | ~spl6_22 | spl6_455), 29.91/29.67 inference(avatar_split_clause,[],[f2416,f2342,f151,f2413])). 29.91/29.67 tff(f2418,plain,( 29.91/29.67 ~model_ub(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2)))) | model_ub(sK0,sK1,sK5(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2))))) | ~spl6_327), 29.91/29.67 inference(resolution,[],[f1772,f63])). 29.91/29.67 tff(f2419,plain,( 29.91/29.67 ~model_ub(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2)))) | $less(sK5(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2)))),$sum(c,summation(sK4(sK0,sK1,sK2)))) | ~spl6_327), 29.91/29.67 inference(resolution,[],[f1772,f64])). 29.91/29.67 tff(f2421,plain,( 29.91/29.67 spl6_460 <=> model_ub(sK0,sK1,sK5(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_460])])). 29.91/29.67 tff(f2424,plain,( 29.91/29.67 spl6_463 <=> ~model_ub(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_463])])). 29.91/29.67 tff(f2426,plain,( 29.91/29.67 spl6_460 | ~spl6_463 | spl6_327), 29.91/29.67 inference(avatar_split_clause,[],[f2418,f1771,f2424,f2421])). 29.91/29.67 tff(f2428,plain,( 29.91/29.67 spl6_464 <=> $less(sK5(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2)))),$sum(c,summation(sK4(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_464])])). 29.91/29.67 tff(f2430,plain,( 29.91/29.67 spl6_464 | ~spl6_463 | spl6_327), 29.91/29.67 inference(avatar_split_clause,[],[f2419,f1771,f2424,f2428])). 29.91/29.67 tff(f2431,plain,( 29.91/29.67 ~model_ub(sK0,sK1,$sum(c,summation(sK5(sK0,sK1,sK2)))) | model_ub(sK0,sK1,sK5(sK0,sK1,$sum(c,summation(sK5(sK0,sK1,sK2))))) | ~spl6_343), 29.91/29.67 inference(resolution,[],[f1870,f63])). 29.91/29.67 tff(f2432,plain,( 29.91/29.67 ~model_ub(sK0,sK1,$sum(c,summation(sK5(sK0,sK1,sK2)))) | $less(sK5(sK0,sK1,$sum(c,summation(sK5(sK0,sK1,sK2)))),$sum(c,summation(sK5(sK0,sK1,sK2)))) | ~spl6_343), 29.91/29.67 inference(resolution,[],[f1870,f64])). 29.91/29.67 tff(f2434,plain,( 29.91/29.67 spl6_466 <=> model_ub(sK0,sK1,sK5(sK0,sK1,$sum(c,summation(sK5(sK0,sK1,sK2)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_466])])). 29.91/29.67 tff(f2437,plain,( 29.91/29.67 spl6_469 <=> ~model_ub(sK0,sK1,$sum(c,summation(sK5(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_469])])). 29.91/29.67 tff(f2439,plain,( 29.91/29.67 spl6_466 | ~spl6_469 | spl6_343), 29.91/29.67 inference(avatar_split_clause,[],[f2431,f1869,f2437,f2434])). 29.91/29.67 tff(f2441,plain,( 29.91/29.67 spl6_470 <=> $less(sK5(sK0,sK1,$sum(c,summation(sK5(sK0,sK1,sK2)))),$sum(c,summation(sK5(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_470])])). 29.91/29.67 tff(f2443,plain,( 29.91/29.67 spl6_470 | ~spl6_469 | spl6_343), 29.91/29.67 inference(avatar_split_clause,[],[f2432,f1869,f2437,f2441])). 29.91/29.67 tff(f2444,plain,( 29.91/29.67 sK0 = sK3(sK0,sK1,sK2) | $less(sK0,sK3(sK0,sK1,sK2)) | ~spl6_60), 29.91/29.67 inference(superposition,[],[f343,f47])). 29.91/29.67 tff(f2448,plain,( 29.91/29.67 sK0 = sK3(sK0,sK1,sK2) | $less(sK0,sK3(sK0,sK1,sK2)) | ~spl6_60), 29.91/29.67 inference(superposition,[],[f47,f343])). 29.91/29.67 tff(f2450,plain,( 29.91/29.67 spl6_472 <=> $less(sK0,sK3(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_472])])). 29.91/29.67 tff(f2453,plain,( 29.91/29.67 spl6_474 <=> sK0 = sK3(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_474])])). 29.91/29.67 tff(f2455,plain,( 29.91/29.67 spl6_472 | spl6_474 | ~spl6_60), 29.91/29.67 inference(avatar_split_clause,[],[f2444,f342,f2453,f2450])). 29.91/29.67 tff(f2459,plain,( 29.91/29.67 spl6_472 | spl6_474 | ~spl6_60), 29.91/29.67 inference(avatar_split_clause,[],[f2448,f342,f2453,f2450])). 29.91/29.67 tff(f2468,plain,( 29.91/29.67 sK1 = sK3(sK0,sK1,sK2) | $less(sK1,sK3(sK0,sK1,sK2)) | ~spl6_74), 29.91/29.67 inference(superposition,[],[f462,f47])). 29.91/29.67 tff(f2472,plain,( 29.91/29.67 sK1 = sK3(sK0,sK1,sK2) | $less(sK1,sK3(sK0,sK1,sK2)) | ~spl6_74), 29.91/29.67 inference(superposition,[],[f47,f462])). 29.91/29.67 tff(f2474,plain,( 29.91/29.67 spl6_476 <=> $less(sK1,sK3(sK0,sK1,sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_476])])). 29.91/29.67 tff(f2477,plain,( 29.91/29.67 spl6_478 <=> sK1 = sK3(sK0,sK1,sK2)), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_478])])). 29.91/29.67 tff(f2479,plain,( 29.91/29.67 spl6_476 | spl6_478 | ~spl6_74), 29.91/29.67 inference(avatar_split_clause,[],[f2468,f461,f2477,f2474])). 29.91/29.67 tff(f2483,plain,( 29.91/29.67 spl6_476 | spl6_478 | ~spl6_74), 29.91/29.67 inference(avatar_split_clause,[],[f2472,f461,f2477,f2474])). 29.91/29.67 tff(f2503,plain,( 29.91/29.67 ~$less(summation(summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))),summation(summation(sK0))) | ~spl6_159), 29.91/29.67 inference(resolution,[],[f885,f49])). 29.91/29.67 tff(f2504,plain,( 29.91/29.67 summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))) = max(summation(sK0),summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))) | ~spl6_159), 29.91/29.67 inference(resolution,[],[f885,f48])). 29.91/29.67 tff(f2505,plain,( 29.91/29.67 summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))) = max(summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))),summation(sK0)) | ~spl6_159), 29.91/29.67 inference(resolution,[],[f885,f47])). 29.91/29.67 tff(f2507,plain,( 29.91/29.67 spl6_481 <=> ~$less(summation(summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))),summation(summation(sK0)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_481])])). 29.91/29.67 tff(f2509,plain,( 29.91/29.67 ~spl6_481 | spl6_159), 29.91/29.67 inference(avatar_split_clause,[],[f2503,f884,f2507])). 29.91/29.67 tff(f2511,plain,( 29.91/29.67 spl6_482 <=> summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))) = max(summation(sK0),summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_482])])). 29.91/29.67 tff(f2513,plain,( 29.91/29.67 spl6_482 | spl6_159), 29.91/29.67 inference(avatar_split_clause,[],[f2504,f884,f2511])). 29.91/29.67 tff(f2515,plain,( 29.91/29.67 spl6_484 <=> summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))) = max(summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))),summation(sK0))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_484])])). 29.91/29.67 tff(f2517,plain,( 29.91/29.67 spl6_484 | spl6_159), 29.91/29.67 inference(avatar_split_clause,[],[f2505,f884,f2515])). 29.91/29.67 tff(f2518,plain,( 29.91/29.67 ~model_max(sK2,sK2,summation(sK2)) | model_max(sK2,sK2,sK4(sK2,sK2,summation(sK2))) | ~spl6_437), 29.91/29.67 inference(resolution,[],[f2257,f59])). 29.91/29.67 tff(f2519,plain,( 29.91/29.67 ~model_max(sK2,sK2,summation(sK2)) | $less(sK4(sK2,sK2,summation(sK2)),summation(sK2)) | ~spl6_437), 29.91/29.67 inference(resolution,[],[f2257,f60])). 29.91/29.67 tff(f2521,plain,( 29.91/29.67 spl6_486 <=> model_max(sK2,sK2,sK4(sK2,sK2,summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_486])])). 29.91/29.67 tff(f2524,plain,( 29.91/29.67 spl6_489 <=> ~model_max(sK2,sK2,summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_489])])). 29.91/29.67 tff(f2525,plain,( 29.91/29.67 ~model_max(sK2,sK2,summation(sK2)) | ~spl6_489), 29.91/29.67 inference(avatar_component_clause,[],[f2524])). 29.91/29.67 tff(f2526,plain,( 29.91/29.67 spl6_486 | ~spl6_489 | spl6_437), 29.91/29.67 inference(avatar_split_clause,[],[f2518,f2256,f2524,f2521])). 29.91/29.67 tff(f2528,plain,( 29.91/29.67 spl6_490 <=> $less(sK4(sK2,sK2,summation(sK2)),summation(sK2))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_490])])). 29.91/29.67 tff(f2530,plain,( 29.91/29.67 spl6_490 | ~spl6_489 | spl6_437), 29.91/29.67 inference(avatar_split_clause,[],[f2519,f2256,f2524,f2528])). 29.91/29.67 tff(f2534,plain,( 29.91/29.67 ~$less(summation(summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))),summation(summation(sK1))) | ~spl6_165), 29.91/29.67 inference(resolution,[],[f902,f49])). 29.91/29.67 tff(f2535,plain,( 29.91/29.67 summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))) = max(summation(sK1),summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))) | ~spl6_165), 29.91/29.67 inference(resolution,[],[f902,f48])). 29.91/29.67 tff(f2536,plain,( 29.91/29.67 summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))) = max(summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))),summation(sK1)) | ~spl6_165), 29.91/29.67 inference(resolution,[],[f902,f47])). 29.91/29.67 tff(f2538,plain,( 29.91/29.67 spl6_493 <=> ~$less(summation(summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2)))),summation(summation(sK1)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_493])])). 29.91/29.67 tff(f2540,plain,( 29.91/29.67 ~spl6_493 | spl6_165), 29.91/29.67 inference(avatar_split_clause,[],[f2534,f901,f2538])). 29.91/29.67 tff(f2542,plain,( 29.91/29.67 spl6_494 <=> summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))) = max(summation(sK1),summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_494])])). 29.91/29.67 tff(f2544,plain,( 29.91/29.67 spl6_494 | spl6_165), 29.91/29.67 inference(avatar_split_clause,[],[f2535,f901,f2542])). 29.91/29.67 tff(f2546,plain,( 29.91/29.67 spl6_496 <=> summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))) = max(summation(sK3(sK0,sK1,sK5(sK0,sK1,sK2))),summation(sK1))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_496])])). 29.91/29.67 tff(f2548,plain,( 29.91/29.67 spl6_496 | spl6_165), 29.91/29.67 inference(avatar_split_clause,[],[f2536,f901,f2546])). 29.91/29.67 tff(f2549,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK2),sK2) | (~spl6_78 | ~spl6_199)), 29.91/29.67 inference(resolution,[],[f1068,f556])). 29.91/29.67 tff(f2550,plain,( 29.91/29.67 ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(sK1))) | ~spl6_199), 29.91/29.67 inference(resolution,[],[f1068,f50])). 29.91/29.67 tff(f2553,plain,( 29.91/29.67 ~$less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK1))))) | ~spl6_199), 29.91/29.67 inference(resolution,[],[f1068,f49])). 29.91/29.67 tff(f2554,plain,( 29.91/29.67 summation(sK4(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK1))),summation(sK4(sK0,sK1,sK2))) | ~spl6_199), 29.91/29.67 inference(resolution,[],[f1068,f48])). 29.91/29.67 tff(f2555,plain,( 29.91/29.67 summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK1)))) | ~spl6_199), 29.91/29.67 inference(resolution,[],[f1068,f47])). 29.91/29.67 tff(f2556,plain,( 29.91/29.67 ~spl6_15 | ~spl6_78 | spl6_199), 29.91/29.67 inference(avatar_split_clause,[],[f2549,f1067,f516,f1210])). 29.91/29.67 tff(f2557,plain,( 29.91/29.67 ~spl6_197 | spl6_199), 29.91/29.67 inference(avatar_split_clause,[],[f2550,f1067,f1041])). 29.91/29.67 tff(f2559,plain,( 29.91/29.67 spl6_499 <=> ~$less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK1)))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_499])])). 29.91/29.67 tff(f2561,plain,( 29.91/29.67 ~spl6_499 | spl6_199), 29.91/29.67 inference(avatar_split_clause,[],[f2553,f1067,f2559])). 29.91/29.67 tff(f2563,plain,( 29.91/29.67 spl6_500 <=> summation(sK4(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK1))),summation(sK4(sK0,sK1,sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_500])])). 29.91/29.67 tff(f2565,plain,( 29.91/29.67 spl6_500 | spl6_199), 29.91/29.67 inference(avatar_split_clause,[],[f2554,f1067,f2563])). 29.91/29.67 tff(f2567,plain,( 29.91/29.67 spl6_502 <=> summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK1))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_502])])). 29.91/29.67 tff(f2569,plain,( 29.91/29.67 spl6_502 | spl6_199), 29.91/29.67 inference(avatar_split_clause,[],[f2555,f1067,f2567])). 29.91/29.67 tff(f2589,plain,( 29.91/29.67 ~$less(summation(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2)))),summation(summation(sK2))) | ~spl6_277), 29.91/29.67 inference(resolution,[],[f1509,f49])). 29.91/29.67 tff(f2590,plain,( 29.91/29.67 summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))) = max(summation(sK2),summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | ~spl6_277), 29.91/29.67 inference(resolution,[],[f1509,f48])). 29.91/29.67 tff(f2591,plain,( 29.91/29.67 summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))) = max(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK2)) | ~spl6_277), 29.91/29.67 inference(resolution,[],[f1509,f47])). 29.91/29.67 tff(f2593,plain,( 29.91/29.67 spl6_505 <=> ~$less(summation(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2)))),summation(summation(sK2)))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_505])])). 29.91/29.67 tff(f2595,plain,( 29.91/29.67 ~spl6_505 | spl6_277), 29.91/29.67 inference(avatar_split_clause,[],[f2589,f1508,f2593])). 29.91/29.67 tff(f2597,plain,( 29.91/29.67 spl6_506 <=> summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))) = max(summation(sK2),summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))))), 29.91/29.67 introduced(avatar_definition,[new_symbols(naming,[spl6_506])])). 29.91/29.67 tff(f2599,plain,( 29.91/29.67 spl6_506 | spl6_277), 29.91/29.67 inference(avatar_split_clause,[],[f2590,f1508,f2597])). 29.91/29.67 tff(f2601,plain,( 29.91/29.67 spl6_508 <=> summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))) = max(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK2))), 29.91/29.68 introduced(avatar_definition,[new_symbols(naming,[spl6_508])])). 29.91/29.68 tff(f2603,plain,( 29.91/29.68 spl6_508 | spl6_277), 29.91/29.68 inference(avatar_split_clause,[],[f2591,f1508,f2601])). 29.91/29.68 tff(f2604,plain,( 29.91/29.68 $less(summation(sK2),$sum(c,summation(sK2))) | (~spl6_22 | ~spl6_489)), 29.91/29.68 inference(resolution,[],[f2525,f330])). 29.91/29.68 tff(f2606,plain,( 29.91/29.68 $less(summation(sK2),$sum(c,summation(max(sK2,sK2)))) | ~spl6_489), 29.91/29.68 inference(resolution,[],[f2525,f57])). 29.91/29.68 tff(f2608,plain,( 29.91/29.68 spl6_510 <=> $less(summation(sK2),$sum(c,summation(sK2)))), 29.91/29.68 introduced(avatar_definition,[new_symbols(naming,[spl6_510])])). 29.91/29.68 tff(f2610,plain,( 29.91/29.68 spl6_510 | ~spl6_22 | spl6_489), 29.91/29.68 inference(avatar_split_clause,[],[f2604,f2524,f151,f2608])). 29.91/29.68 tff(f2611,plain,( 29.91/29.68 $less(summation(sK2),$sum(c,summation(sK2))) | (~spl6_22 | ~spl6_489)), 29.91/29.68 inference(forward_demodulation,[],[f2606,f152])). 29.91/29.68 tff(f2612,plain,( 29.91/29.68 spl6_510 | ~spl6_22 | spl6_489), 29.91/29.68 inference(avatar_split_clause,[],[f2611,f2524,f151,f2608])). 29.91/29.68 tff(f2614,plain,( 29.91/29.68 ~model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_302), 29.91/29.68 inference(resolution,[],[f1670,f58])). 29.91/29.68 tff(f2619,plain,( 29.91/29.68 $less(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_302), 29.91/29.68 inference(resolution,[],[f1670,f50])). 29.91/29.68 tff(f2620,plain,( 29.91/29.68 $less(sK5(sK0,sK1,sK2),$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_302), 29.91/29.68 inference(superposition,[],[f1670,f48])). 29.91/29.68 tff(f2621,plain,( 29.91/29.68 $less(sK5(sK0,sK1,sK2),$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_302), 29.91/29.68 inference(superposition,[],[f1670,f47])). 29.91/29.68 tff(f2623,plain,( 29.91/29.68 spl6_513 <=> ~model_max(sK0,sK1,sK5(sK0,sK1,sK2))), 29.91/29.68 introduced(avatar_definition,[new_symbols(naming,[spl6_513])])). 29.91/29.68 tff(f2625,plain,( 29.91/29.68 ~spl6_513 | ~spl6_302), 29.91/29.68 inference(avatar_split_clause,[],[f2614,f1669,f2623])). 29.91/29.68 tff(f2627,plain,( 29.91/29.68 spl6_514 <=> $less(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1)))))), 29.91/29.68 introduced(avatar_definition,[new_symbols(naming,[spl6_514])])). 29.91/29.68 tff(f2629,plain,( 29.91/29.68 spl6_514 | ~spl6_302), 29.91/29.68 inference(avatar_split_clause,[],[f2619,f1669,f2627])). 29.91/29.68 tff(f2631,plain,( 29.91/29.68 spl6_516 <=> $less(sK5(sK0,sK1,sK2),$sum(c,summation(sK1)))), 29.91/29.68 introduced(avatar_definition,[new_symbols(naming,[spl6_516])])). 29.91/29.68 tff(f2633,plain,( 29.91/29.68 spl6_34 | spl6_516 | ~spl6_302), 29.91/29.68 inference(avatar_split_clause,[],[f2620,f1669,f2631,f198])). 29.91/29.68 tff(f2635,plain,( 29.91/29.68 spl6_518 <=> $less(sK5(sK0,sK1,sK2),$sum(c,summation(sK0)))), 29.91/29.68 introduced(avatar_definition,[new_symbols(naming,[spl6_518])])). 29.91/29.68 tff(f2637,plain,( 29.91/29.68 spl6_38 | spl6_518 | ~spl6_302), 29.91/29.68 inference(avatar_split_clause,[],[f2621,f1669,f2635,f205])). 29.91/29.68 tff(f2641,plain,( 29.91/29.68 spl6_4 | spl6_0 | ~spl6_6), 29.91/29.68 inference(avatar_split_clause,[],[f1337,f116,f75,f84])). 29.91/29.68 tff(f2642,plain,( 29.91/29.68 spl6_34 | spl6_110 | spl6_315), 29.91/29.68 inference(avatar_split_clause,[],[f1817,f1742,f670,f198])). 29.91/29.68 tff(f2643,plain,( 29.91/29.68 spl6_106 | spl6_108 | spl6_229), 29.91/29.68 inference(avatar_split_clause,[],[f1737,f1213,f666,f663])). 29.91/29.68 tff(f2644,plain,( 29.91/29.68 ~spl6_197 | spl6_199), 29.91/29.68 inference(avatar_split_clause,[],[f2550,f1067,f1041])). 29.91/29.68 tff(f2645,plain,( 29.91/29.68 ~spl6_179 | spl6_191), 29.91/29.68 inference(avatar_split_clause,[],[f1216,f1029,f952])). 29.91/29.68 tff(f2646,plain,( 29.91/29.68 spl6_12 | spl6_179), 29.91/29.68 inference(avatar_split_clause,[],[f1019,f952,f103])). 29.91/29.68 tff(f2647,plain,( 29.91/29.68 ~spl6_3 | ~spl6_14 | ~spl6_174), 29.91/29.68 inference(avatar_split_clause,[],[f1128,f944,f110,f71])). 29.91/29.68 tff(f2648,plain,( 29.91/29.68 spl6_12 | ~spl6_174), 29.91/29.68 inference(avatar_split_clause,[],[f971,f944,f103])). 29.91/29.68 tff(f2649,plain,( 29.91/29.68 ~spl6_3 | ~spl6_12 | ~spl6_170), 29.91/29.68 inference(avatar_split_clause,[],[f1129,f933,f103,f71])). 29.91/29.68 tff(f2650,plain,( 29.91/29.68 ~spl6_3 | ~spl6_12 | ~spl6_14), 29.91/29.68 inference(avatar_split_clause,[],[f1018,f110,f103,f71])). 29.91/29.68 tff(f2651,plain,( 29.91/29.68 ~spl6_3 | ~spl6_12 | ~spl6_14), 29.91/29.68 inference(avatar_split_clause,[],[f987,f110,f103,f71])). 29.91/29.68 tff(f2676,plain,( 29.91/29.68 ~$less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),sK2) | (~spl6_0 | ~spl6_116)), 29.91/29.68 inference(resolution,[],[f113,f723])). 29.91/29.68 tff(f2682,plain,( 29.91/29.68 spl6_521 <=> ~$less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),sK2)), 29.91/29.68 introduced(avatar_definition,[new_symbols(naming,[spl6_521])])). 29.91/29.68 tff(f2684,plain,( 29.91/29.68 ~spl6_521 | ~spl6_0 | ~spl6_116), 29.91/29.68 inference(avatar_split_clause,[],[f2676,f722,f75,f2682])). 29.91/29.68 tff(f2686,plain,( 29.91/29.68 spl6_5 <=> ~model_ub(sK0,sK1,sK5(sK0,sK1,sK2))), 29.91/29.68 introduced(avatar_definition,[new_symbols(naming,[spl6_5])])). 29.91/29.68 tff(f2688,plain,( 29.91/29.68 spl6_116 | ~spl6_5 | spl6_119), 29.91/29.68 inference(avatar_split_clause,[],[f1950,f1587,f2686,f722])). 29.91/29.68 tff(f2689,plain,( 29.91/29.68 spl6_116 | ~spl6_252), 29.91/29.68 inference(avatar_split_clause,[],[f1521,f1381,f722])). 29.91/29.68 tff(f2777,plain,( 29.91/29.68 ~$less(sK2,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | $less(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | (~spl6_10 | ~spl6_266)), 29.91/29.68 inference(resolution,[],[f1420,f172])). 29.91/29.68 tff(f2778,plain,( 29.91/29.68 minsol_model_max(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | model_max(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))) | ~spl6_266), 29.91/29.68 inference(resolution,[],[f1420,f59])). 29.91/29.68 tff(f2779,plain,( 29.91/29.68 minsol_model_max(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | $less(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | ~spl6_266), 29.91/29.68 inference(resolution,[],[f1420,f60])). 29.91/29.68 tff(f2781,plain,( 29.91/29.68 ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))),$sum(c,summation(max(sK0,sK1)))) | ~spl6_266), 29.91/29.68 inference(resolution,[],[f1420,f58])). 29.91/29.68 tff(f2783,plain,( 29.91/29.68 spl6_522 <=> $less(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))), 29.91/29.68 introduced(avatar_definition,[new_symbols(naming,[spl6_522])])). 29.91/29.68 tff(f2786,plain,( 29.91/29.68 spl6_525 <=> ~$less(sK2,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))), 29.91/29.68 introduced(avatar_definition,[new_symbols(naming,[spl6_525])])). 29.91/29.68 tff(f2788,plain,( 29.91/29.68 spl6_522 | ~spl6_525 | ~spl6_10 | ~spl6_266), 29.91/29.68 inference(avatar_split_clause,[],[f2777,f1419,f97,f2786,f2783])). 29.91/29.68 tff(f2790,plain,( 29.91/29.68 spl6_526 <=> model_max(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))))), 29.91/29.68 introduced(avatar_definition,[new_symbols(naming,[spl6_526])])). 29.91/29.68 tff(f2793,plain,( 29.91/29.68 spl6_528 <=> minsol_model_max(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))), 29.91/29.68 introduced(avatar_definition,[new_symbols(naming,[spl6_528])])). 29.91/29.68 tff(f2795,plain,( 29.91/29.68 spl6_526 | spl6_528 | ~spl6_266), 29.91/29.68 inference(avatar_split_clause,[],[f2778,f1419,f2793,f2790])). 29.91/29.68 tff(f2796,plain,( 29.91/29.68 spl6_522 | spl6_528 | ~spl6_266), 29.91/29.68 inference(avatar_split_clause,[],[f2779,f1419,f2793,f2783])). 29.91/29.68 tff(f2798,plain,( 29.91/29.68 spl6_531 <=> ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))),$sum(c,summation(max(sK0,sK1))))), 29.91/29.68 introduced(avatar_definition,[new_symbols(naming,[spl6_531])])). 29.91/29.68 tff(f2800,plain,( 29.91/29.68 ~spl6_531 | ~spl6_266), 29.91/29.68 inference(avatar_split_clause,[],[f2781,f1419,f2798])). 29.91/29.68 tff(f2803,plain,( 29.91/29.68 ( ! [X6:$int] : (~$less(X6,sK2) | $less(sK2,sK1) | $less(sK2,sK0) | ~model_max(sK2,sK2,X6)) ) | (~spl6_0 | ~spl6_22)), 29.91/29.68 inference(resolution,[],[f321,f331])). 29.91/29.68 tff(f2816,plain,( 29.91/29.68 ~$less(sK4(sK0,sK1,sK2),sK2) | $less(sK0,sK1) | $less(sK0,sK0) | (~spl6_0 | ~spl6_243)), 29.91/29.68 inference(resolution,[],[f321,f1298])). 29.91/29.68 tff(f2821,plain,( 29.91/29.68 spl6_532 <=> $less(sK2,sK0)), 29.91/29.68 introduced(avatar_definition,[new_symbols(naming,[spl6_532])])). 29.91/29.68 tff(f2824,plain,( 29.91/29.68 spl6_534 <=> $less(sK2,sK1)), 29.91/29.68 introduced(avatar_definition,[new_symbols(naming,[spl6_534])])). 29.91/29.68 tff(f2827,plain,( 29.91/29.68 spl6_536 <=> ! [X6 : $int] : (~$less(X6,sK2) | ~model_max(sK2,sK2,X6))), 29.91/29.68 introduced(avatar_definition,[new_symbols(naming,[spl6_536])])). 29.91/29.68 tff(f2829,plain,( 29.91/29.68 spl6_532 | spl6_534 | spl6_536 | ~spl6_0 | ~spl6_22), 29.91/29.68 inference(avatar_split_clause,[],[f2803,f151,f75,f2827,f2824,f2821])). 29.91/29.68 tff(f2830,plain,( 29.91/29.68 spl6_246 | spl6_38 | ~spl6_15 | ~spl6_0 | spl6_243), 29.91/29.68 inference(avatar_split_clause,[],[f2816,f1297,f75,f1210,f205,f1305])). 29.91/29.68 tff(f2831,plain,( 29.91/29.68 $false), 29.91/29.68 inference(avatar_sat_refutation,[],[f73,f80,f89,f93,f99,f108,f112,f118,f132,f140,f149,f153,f154,f164,f168,f169,f188,f192,f196,f203,f210,f220,f229,f233,f234,f235,f236,f237,f238,f239,f240,f265,f269,f284,f288,f292,f302,f306,f310,f319,f340,f344,f348,f349,f350,f351,f352,f371,f373,f374,f375,f376,f377,f378,f379,f437,f441,f445,f459,f463,f467,f468,f469,f470,f471,f472,f473,f474,f518,f537,f541,f545,f572,f576,f580,f593,f594,f614,f618,f622,f633,f634,f668,f672,f679,f680,f681,f682,f683,f684,f685,f686,f687,f689,f690,f691,f706,f715,f727,f731,f735,f739,f757,f767,f776,f780,f784,f802,f806,f813,f817,f832,f842,f846,f850,f873,f877,f886,f890,f894,f903,f907,f911,f914,f915,f916,f917,f935,f946,f950,f954,f975,f985,f1006,f1010,f1014,f1031,f1035,f1039,f1043,f1069,f1073,f1077,f1087,f1097,f1101,f1102,f1119,f1149,f1153,f1176,f1194,f1198,f1215,f1227,f1231,f1235,f1259,f1275,f1276,f1280,f1287,f1289,f1290,f1291,f1295,f1299,f1303,f1307,f1308,f1309,f1310,f1314,f1316,f1317,f1318,f1319,f1320,f1322,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1383,f1387,f1391,f1395,f1410,f1417,f1424,f1425,f1429,f1466,f1475,f1489,f1510,f1514,f1518,f1525,f1589,f1596,f1600,f1632,f1636,f1640,f1644,f1648,f1655,f1664,f1671,f1678,f1709,f1713,f1715,f1719,f1721,f1736,f1740,f1744,f1748,f1759,f1766,f1773,f1774,f1782,f1786,f1787,f1788,f1818,f1828,f1832,f1836,f1864,f1871,f1872,f1893,f1909,f1913,f1917,f1936,f1945,f1949,f1960,f1964,f1972,f1976,f1986,f1996,f2000,f2004,f2015,f2019,f2023,f2035,f2036,f2051,f2055,f2059,f2069,f2079,f2083,f2087,f2108,f2118,f2122,f2126,f2146,f2150,f2154,f2163,f2192,f2201,f2205,f2209,f2218,f2222,f2226,f2244,f2261,f2265,f2272,f2276,f2283,f2344,f2348,f2415,f2417,f2426,f2430,f2439,f2443,f2455,f2459,f2479,f2483,f2509,f2513,f2517,f2526,f2530,f2540,f2544,f2548,f2556,f2557,f2561,f2565,f2569,f2595,f2599,f2603,f2610,f2612,f2625,f2629,f2633,f2637,f2641,f2642,f2643,f2644,f2645,f2646,f2647,f2648,f2649,f2650,f2651,f2684,f2688,f2689,f2788,f2795,f2796,f2800,f2829,f2830])). 29.91/29.68 % SZS output end Proof for theBenchmark 29.91/29.68 % ------------------------------ 29.91/29.68 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 29.91/29.68 % Termination reason: Refutation 29.91/29.68 29.91/29.68 % Memory used [KB]: 6396 29.91/29.68 % Time elapsed: 0.262 s 29.91/29.68 % ------------------------------ 29.91/29.68 % ------------------------------ 29.91/29.68 % Success in time 29.305 s 29.91/29.68 EOF