0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.23 % Computer : n117.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 04:34:10 CDT 2018 0.03/0.23 % CPUTime : 0.06/0.27 % 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 0.55/0.77 % Time limit reached! 0.55/0.77 % ------------------------------ 0.55/0.77 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.55/0.77 % Termination reason: Time limit 0.55/0.77 % Termination phase: Saturation 0.55/0.77 0.55/0.77 % Memory used [KB]: 5756 0.55/0.77 % Time elapsed: 0.500 s 0.55/0.77 % ------------------------------ 0.55/0.77 % ------------------------------ 0.59/0.80 % 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 2.21/2.40 % Time limit reached! 2.21/2.40 % ------------------------------ 2.21/2.40 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.21/2.40 % Termination reason: Time limit 2.21/2.40 % Termination phase: Saturation 2.21/2.40 2.21/2.40 % Memory used [KB]: 16375 2.21/2.40 % Time elapsed: 1.600 s 2.21/2.40 % ------------------------------ 2.21/2.40 % ------------------------------ 2.21/2.44 % 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 3.15/3.43 % Time limit reached! 3.15/3.43 % ------------------------------ 3.15/3.43 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.15/3.43 % Termination reason: Time limit 3.15/3.43 % Termination phase: Saturation 3.15/3.43 3.15/3.43 % Memory used [KB]: 7931 3.15/3.43 % Time elapsed: 1.0000 s 3.15/3.43 % ------------------------------ 3.15/3.43 % ------------------------------ 3.26/3.47 % 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 13.11/13.27 % Time limit reached! 13.11/13.27 % ------------------------------ 13.11/13.27 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 13.11/13.27 % Termination reason: Time limit 13.11/13.27 % Termination phase: Saturation 13.11/13.27 13.11/13.27 % Memory used [KB]: 17142 13.11/13.27 % Time elapsed: 9.800 s 13.11/13.27 % ------------------------------ 13.11/13.27 % ------------------------------ 13.11/13.30 % 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 14.74/14.90 % Time limit reached! 14.74/14.90 % ------------------------------ 14.74/14.90 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 14.74/14.90 % Termination reason: Time limit 14.74/14.90 % Termination phase: Saturation 14.74/14.90 14.74/14.90 % Memory used [KB]: 23411 14.74/14.90 % Time elapsed: 1.600 s 14.74/14.90 % ------------------------------ 14.74/14.90 % ------------------------------ 14.74/14.94 % 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 16.06/16.24 % Time limit reached! 16.06/16.24 % ------------------------------ 16.06/16.24 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 16.06/16.24 % Termination reason: Time limit 16.06/16.24 % Termination phase: Saturation 16.06/16.24 16.06/16.24 % Memory used [KB]: 9338 16.06/16.24 % Time elapsed: 1.300 s 16.06/16.24 % ------------------------------ 16.06/16.24 % ------------------------------ 16.10/16.27 % 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 17.41/17.57 % Time limit reached! 17.41/17.57 % ------------------------------ 17.41/17.57 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 17.41/17.57 % Termination reason: Time limit 17.41/17.57 % Termination phase: Saturation 17.41/17.57 17.41/17.57 % Memory used [KB]: 22771 17.41/17.57 % Time elapsed: 1.300 s 17.41/17.57 % ------------------------------ 17.41/17.57 % ------------------------------ 17.47/17.61 % 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 19.86/20.01 % Time limit reached! 19.86/20.01 % ------------------------------ 19.86/20.01 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 19.86/20.01 % Termination reason: Time limit 19.86/20.01 % Termination phase: Saturation 19.86/20.01 19.86/20.01 % Memory used [KB]: 8571 19.86/20.01 % Time elapsed: 2.400 s 19.86/20.01 % ------------------------------ 19.86/20.01 % ------------------------------ 19.86/20.04 % 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 20.94/21.04 % Time limit reached! 20.94/21.04 % ------------------------------ 20.94/21.04 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 20.94/21.04 % Termination reason: Time limit 20.94/21.04 % Termination phase: Saturation 20.94/21.04 20.94/21.04 % Memory used [KB]: 10490 20.94/21.04 % Time elapsed: 1.0000 s 20.94/21.04 % ------------------------------ 20.94/21.04 % ------------------------------ 20.94/21.08 % 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 25.53/25.68 % Time limit reached! 25.53/25.68 % ------------------------------ 25.53/25.68 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 25.53/25.68 % Termination reason: Time limit 25.53/25.68 % Termination phase: Saturation 25.53/25.68 25.53/25.68 % Memory used [KB]: 42088 25.53/25.68 % Time elapsed: 4.600 s 25.53/25.68 % ------------------------------ 25.53/25.68 % ------------------------------ 25.60/25.71 % 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 25.60/25.72 % Refutation not found, incomplete strategy 25.60/25.72 % ------------------------------ 25.60/25.72 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 25.60/25.72 % Termination reason: Refutation not found, incomplete strategy 25.60/25.72 25.60/25.72 % Memory used [KB]: 9594 25.60/25.72 % Time elapsed: 0.002 s 25.60/25.72 % ------------------------------ 25.60/25.72 % ------------------------------ 25.60/25.75 % 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 26.24/26.35 % Time limit reached! 26.24/26.35 % ------------------------------ 26.24/26.35 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 26.24/26.35 % Termination reason: Time limit 26.24/26.35 % Termination phase: Saturation 26.24/26.35 26.24/26.35 % Memory used [KB]: 9722 26.24/26.35 % Time elapsed: 0.600 s 26.24/26.35 % ------------------------------ 26.24/26.35 % ------------------------------ 26.24/26.38 % 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 26.77/26.88 % Time limit reached! 26.77/26.88 % ------------------------------ 26.77/26.88 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 26.77/26.88 % Termination reason: Time limit 26.77/26.88 % Termination phase: Saturation 26.77/26.88 26.77/26.88 % Memory used [KB]: 26993 26.77/26.88 % Time elapsed: 0.500 s 26.77/26.88 % ------------------------------ 26.77/26.88 % ------------------------------ 26.80/26.92 % 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 26.80/26.95 % Refutation not found, incomplete strategy 26.80/26.95 % ------------------------------ 26.80/26.95 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 26.80/26.95 % Termination reason: Refutation not found, incomplete strategy 26.80/26.95 26.80/26.95 % Memory used [KB]: 5117 26.80/26.95 % Time elapsed: 0.033 s 26.80/26.95 % ------------------------------ 26.80/26.95 % ------------------------------ 26.80/26.99 % 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 29.29/29.39 % Time limit reached! 29.29/29.39 % ------------------------------ 29.29/29.39 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 29.29/29.39 % Termination reason: Time limit 29.29/29.39 % Termination phase: Saturation 29.29/29.39 29.29/29.39 % Memory used [KB]: 7675 29.29/29.39 % Time elapsed: 2.400 s 29.29/29.39 % ------------------------------ 29.29/29.39 % ------------------------------ 29.32/29.42 % 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 29.32/29.75 % Refutation found. Thanks to Tanya! 29.32/29.75 % SZS status Theorem for theBenchmark 29.32/29.75 % SZS output start Proof for theBenchmark 29.32/29.75 tff(func_def_0, type, c: $int). 29.32/29.75 tff(func_def_1, type, summation: $int > $int). 29.32/29.75 tff(func_def_2, type, max: ($int * $int) > $int). 29.32/29.75 tff(func_def_4, type, sK0: $int). 29.32/29.75 tff(func_def_5, type, sK1: $int). 29.32/29.75 tff(func_def_6, type, sK2: $int). 29.32/29.75 tff(func_def_7, type, sK3: ($int * $int * $int) > $int). 29.32/29.75 tff(func_def_8, type, sK4: ($int * $int * $int) > $int). 29.32/29.75 tff(func_def_9, type, sK5: ($int * $int * $int) > $int). 29.32/29.75 tff(pred_def_1, type, ub: ($int * $int * $int) > $o). 29.32/29.75 tff(pred_def_2, type, model_max: ($int * $int * $int) > $o). 29.32/29.75 tff(pred_def_3, type, model_ub: ($int * $int * $int) > $o). 29.32/29.75 tff(pred_def_4, type, minsol_model_max: ($int * $int * $int) > $o). 29.32/29.75 tff(pred_def_5, type, minsol_model_ub: ($int * $int * $int) > $o). 29.32/29.75 tff(f1,axiom,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : ($lesseq($sum(c,summation(max(X0,X1))),X2) <=> model_max(X0,X1,X2))), 29.32/29.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_max_5)). 29.32/29.75 tff(f2,axiom,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : (? [X3 : $int] : (ub(X0,X1,X3) & $lesseq($sum(c,summation(X3)),X2)) <=> model_ub(X0,X1,X2))), 29.32/29.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_ub_5)). 29.32/29.75 tff(f3,conjecture,( 29.32/29.75 ! [X0 : $int,X1 : $int,X3 : $int] : (minsol_model_ub(X0,X1,X3) <=> minsol_model_max(X0,X1,X3))), 29.32/29.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_is_ub_1)). 29.32/29.75 tff(f4,negated_conjecture,( 29.32/29.75 ~! [X0 : $int,X1 : $int,X3 : $int] : (minsol_model_ub(X0,X1,X3) <=> minsol_model_max(X0,X1,X3))), 29.32/29.75 inference(negated_conjecture,[],[f3])). 29.32/29.75 tff(f5,axiom,( 29.32/29.75 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X0 | ~$lesseq(X1,X0))), 29.32/29.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_1)). 29.32/29.75 tff(f6,axiom,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_max(X0,X1,X2) <=> (! [X3 : $int] : (model_max(X0,X1,X3) => $lesseq(X2,X3)) & model_max(X0,X1,X2)))), 29.32/29.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_max)). 29.32/29.75 tff(f7,axiom,( 29.32/29.75 ! [X0 : $int,X1 : $int,X3 : $int] : (ub(X0,X1,X3) <=> ($lesseq(X0,X3) & $lesseq(X1,X3)))), 29.32/29.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ub)). 29.32/29.75 tff(f8,axiom,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <=> (model_ub(X0,X1,X2) & ! [X3 : $int] : (model_ub(X0,X1,X3) => $lesseq(X2,X3))))), 29.32/29.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_ub)). 29.32/29.75 tff(f9,axiom,( 29.32/29.75 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X1 | ~$lesseq(X0,X1))), 29.32/29.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_2)). 29.32/29.75 tff(f10,axiom,( 29.32/29.75 ! [X0 : $int,X1 : $int] : ($lesseq(summation(X0),summation(X1)) <=> $lesseq(X0,X1))), 29.32/29.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',summation_monotone)). 29.32/29.75 tff(f11,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X1 | $less(X1,X0))), 29.32/29.75 inference(evaluation,[],[f9])). 29.32/29.75 tff(f12,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X0 | $less(X0,X1))), 29.32/29.75 inference(evaluation,[],[f5])). 29.32/29.75 tff(f13,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int] : (~$less(summation(X1),summation(X0)) <=> ~$less(X1,X0))), 29.32/29.75 inference(evaluation,[],[f10])). 29.32/29.75 tff(f14,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X3 : $int] : (ub(X0,X1,X3) <=> (~$less(X3,X0) & ~$less(X3,X1)))), 29.32/29.75 inference(evaluation,[],[f7])). 29.32/29.75 tff(f15,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_max(X0,X1,X2) <=> (! [X3 : $int] : (model_max(X0,X1,X3) => ~$less(X3,X2)) & model_max(X0,X1,X2)))), 29.32/29.75 inference(evaluation,[],[f6])). 29.32/29.75 tff(f16,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <=> (model_ub(X0,X1,X2) & ! [X3 : $int] : (model_ub(X0,X1,X3) => ~$less(X3,X2))))), 29.32/29.75 inference(evaluation,[],[f8])). 29.32/29.75 tff(f17,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X2,$sum(c,summation(max(X0,X1)))) <=> model_max(X0,X1,X2))), 29.32/29.75 inference(evaluation,[],[f1])). 29.32/29.75 tff(f18,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : (? [X3 : $int] : (ub(X0,X1,X3) & ~$less(X2,$sum(c,summation(X3)))) <=> model_ub(X0,X1,X2))), 29.32/29.75 inference(evaluation,[],[f2])). 29.32/29.75 tff(f19,plain,( 29.32/29.75 ~! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <=> minsol_model_max(X0,X1,X2))), 29.32/29.75 inference(rectify,[],[f4])). 29.32/29.75 tff(f20,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : (ub(X0,X1,X2) <=> (~$less(X2,X0) & ~$less(X2,X1)))), 29.32/29.75 inference(rectify,[],[f14])). 29.32/29.75 tff(f21,plain,( 29.32/29.75 ? [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <~> minsol_model_max(X0,X1,X2))), 29.32/29.75 inference(ennf_transformation,[],[f19])). 29.32/29.75 tff(f22,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_max(X0,X1,X2) <=> (! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)))), 29.32/29.75 inference(ennf_transformation,[],[f15])). 29.32/29.75 tff(f23,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <=> (model_ub(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3))))), 29.32/29.75 inference(ennf_transformation,[],[f16])). 29.32/29.75 tff(f24,plain,( 29.32/29.75 ? [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)))), 29.32/29.75 inference(nnf_transformation,[],[f21])). 29.32/29.75 tff(f25,plain,( 29.32/29.75 ? [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)))), 29.32/29.75 introduced(choice_axiom,[])). 29.32/29.75 tff(f26,plain,( 29.32/29.75 (~minsol_model_max(sK0,sK1,sK2) | ~minsol_model_ub(sK0,sK1,sK2)) & (minsol_model_max(sK0,sK1,sK2) | minsol_model_ub(sK0,sK1,sK2))), 29.32/29.75 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f24,f25])). 29.32/29.75 tff(f27,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int] : ((~$less(summation(X1),summation(X0)) | $less(X1,X0)) & (~$less(X1,X0) | $less(summation(X1),summation(X0))))), 29.32/29.75 inference(nnf_transformation,[],[f13])). 29.32/29.75 tff(f28,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : ((ub(X0,X1,X2) | ($less(X2,X0) | $less(X2,X1))) & ((~$less(X2,X0) & ~$less(X2,X1)) | ~ub(X0,X1,X2)))), 29.32/29.75 inference(nnf_transformation,[],[f20])). 29.32/29.75 tff(f29,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : ((ub(X0,X1,X2) | $less(X2,X0) | $less(X2,X1)) & ((~$less(X2,X0) & ~$less(X2,X1)) | ~ub(X0,X1,X2)))), 29.32/29.75 inference(flattening,[],[f28])). 29.32/29.75 tff(f30,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_max(X0,X1,X2) | (? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3)) | ~model_max(X0,X1,X2))) & ((! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)))), 29.32/29.75 inference(nnf_transformation,[],[f22])). 29.32/29.75 tff(f31,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_max(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3)) | ~model_max(X0,X1,X2)) & ((! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)))), 29.32/29.75 inference(flattening,[],[f30])). 29.32/29.75 tff(f32,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_max(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3)) | ~model_max(X0,X1,X2)) & ((! [X4 : $int] : (~$less(X4,X2) | ~model_max(X0,X1,X4)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)))), 29.32/29.75 inference(rectify,[],[f31])). 29.32/29.75 tff(f33,plain,( 29.32/29.75 ! [X2 : $int,X1 : $int,X0 : $int] : (? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3)) => ($less(sK3(X0,X1,X2),X2) & model_max(X0,X1,sK3(X0,X1,X2))))), 29.32/29.75 introduced(choice_axiom,[])). 29.32/29.75 tff(f34,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_max(X0,X1,X2) | ($less(sK3(X0,X1,X2),X2) & model_max(X0,X1,sK3(X0,X1,X2))) | ~model_max(X0,X1,X2)) & ((! [X4 : $int] : (~$less(X4,X2) | ~model_max(X0,X1,X4)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)))), 29.32/29.75 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f32,f33])). 29.32/29.75 tff(f35,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_ub(X0,X1,X2) | (~model_ub(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3)))) & ((model_ub(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3))) | ~minsol_model_ub(X0,X1,X2)))), 29.32/29.75 inference(nnf_transformation,[],[f23])). 29.32/29.75 tff(f36,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3))) & ((model_ub(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3))) | ~minsol_model_ub(X0,X1,X2)))), 29.32/29.75 inference(flattening,[],[f35])). 29.32/29.75 tff(f37,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3))) & ((model_ub(X0,X1,X2) & ! [X4 : $int] : (~$less(X4,X2) | ~model_ub(X0,X1,X4))) | ~minsol_model_ub(X0,X1,X2)))), 29.32/29.75 inference(rectify,[],[f36])). 29.32/29.75 tff(f38,plain,( 29.32/29.75 ! [X2 : $int,X1 : $int,X0 : $int] : (? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3)) => ($less(sK4(X0,X1,X2),X2) & model_ub(X0,X1,sK4(X0,X1,X2))))), 29.32/29.75 introduced(choice_axiom,[])). 29.32/29.75 tff(f39,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | ($less(sK4(X0,X1,X2),X2) & model_ub(X0,X1,sK4(X0,X1,X2)))) & ((model_ub(X0,X1,X2) & ! [X4 : $int] : (~$less(X4,X2) | ~model_ub(X0,X1,X4))) | ~minsol_model_ub(X0,X1,X2)))), 29.32/29.75 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f37,f38])). 29.32/29.75 tff(f40,plain,( 29.32/29.75 ! [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))))))), 29.32/29.75 inference(nnf_transformation,[],[f17])). 29.32/29.75 tff(f41,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : ((? [X3 : $int] : (ub(X0,X1,X3) & ~$less(X2,$sum(c,summation(X3)))) | ~model_ub(X0,X1,X2)) & (model_ub(X0,X1,X2) | ! [X3 : $int] : (~ub(X0,X1,X3) | $less(X2,$sum(c,summation(X3))))))), 29.32/29.75 inference(nnf_transformation,[],[f18])). 29.32/29.75 tff(f42,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : ((? [X3 : $int] : (ub(X0,X1,X3) & ~$less(X2,$sum(c,summation(X3)))) | ~model_ub(X0,X1,X2)) & (model_ub(X0,X1,X2) | ! [X4 : $int] : (~ub(X0,X1,X4) | $less(X2,$sum(c,summation(X4))))))), 29.32/29.75 inference(rectify,[],[f41])). 29.32/29.75 tff(f43,plain,( 29.32/29.75 ! [X2 : $int,X1 : $int,X0 : $int] : (? [X3 : $int] : (ub(X0,X1,X3) & ~$less(X2,$sum(c,summation(X3)))) => (ub(X0,X1,sK5(X0,X1,X2)) & ~$less(X2,$sum(c,summation(sK5(X0,X1,X2))))))), 29.32/29.75 introduced(choice_axiom,[])). 29.32/29.75 tff(f44,plain,( 29.32/29.75 ! [X0 : $int,X1 : $int,X2 : $int] : (((ub(X0,X1,sK5(X0,X1,X2)) & ~$less(X2,$sum(c,summation(sK5(X0,X1,X2))))) | ~model_ub(X0,X1,X2)) & (model_ub(X0,X1,X2) | ! [X4 : $int] : (~ub(X0,X1,X4) | $less(X2,$sum(c,summation(X4))))))), 29.32/29.75 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f42,f43])). 29.32/29.75 tff(f45,plain,( 29.32/29.75 minsol_model_max(sK0,sK1,sK2) | minsol_model_ub(sK0,sK1,sK2)), 29.32/29.75 inference(cnf_transformation,[],[f26])). 29.32/29.75 tff(f46,plain,( 29.32/29.75 ~minsol_model_max(sK0,sK1,sK2) | ~minsol_model_ub(sK0,sK1,sK2)), 29.32/29.75 inference(cnf_transformation,[],[f26])). 29.32/29.75 tff(f47,plain,( 29.32/29.75 ( ! [X0:$int,X1:$int] : (max(X0,X1) = X1 | $less(X1,X0)) )), 29.32/29.75 inference(cnf_transformation,[],[f11])). 29.32/29.75 tff(f48,plain,( 29.32/29.75 ( ! [X0:$int,X1:$int] : (max(X0,X1) = X0 | $less(X0,X1)) )), 29.32/29.75 inference(cnf_transformation,[],[f12])). 29.32/29.75 tff(f49,plain,( 29.32/29.75 ( ! [X0:$int,X1:$int] : (~$less(X1,X0) | $less(summation(X1),summation(X0))) )), 29.32/29.75 inference(cnf_transformation,[],[f27])). 29.32/29.75 tff(f50,plain,( 29.32/29.75 ( ! [X0:$int,X1:$int] : (~$less(summation(X1),summation(X0)) | $less(X1,X0)) )), 29.32/29.75 inference(cnf_transformation,[],[f27])). 29.32/29.75 tff(f51,plain,( 29.32/29.75 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,X1) | ~ub(X0,X1,X2)) )), 29.32/29.75 inference(cnf_transformation,[],[f29])). 29.32/29.75 tff(f52,plain,( 29.32/29.75 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,X0) | ~ub(X0,X1,X2)) )), 29.32/29.75 inference(cnf_transformation,[],[f29])). 29.32/29.75 tff(f53,plain,( 29.32/29.75 ( ! [X2:$int,X0:$int,X1:$int] : (ub(X0,X1,X2) | $less(X2,X0) | $less(X2,X1)) )), 29.32/29.75 inference(cnf_transformation,[],[f29])). 29.32/29.75 tff(f54,plain,( 29.32/29.75 ( ! [X2:$int,X0:$int,X1:$int] : (model_max(X0,X1,X2) | ~minsol_model_max(X0,X1,X2)) )), 29.32/29.75 inference(cnf_transformation,[],[f34])). 29.32/29.75 tff(f55,plain,( 29.32/29.75 ( ! [X4:$int,X2:$int,X0:$int,X1:$int] : (~$less(X4,X2) | ~model_max(X0,X1,X4) | ~minsol_model_max(X0,X1,X2)) )), 29.32/29.75 inference(cnf_transformation,[],[f34])). 29.32/29.75 tff(f56,plain,( 29.32/29.75 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_max(X0,X1,X2) | model_max(X0,X1,sK3(X0,X1,X2)) | ~model_max(X0,X1,X2)) )), 29.32/29.75 inference(cnf_transformation,[],[f34])). 29.32/29.75 tff(f57,plain,( 29.32/29.75 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_max(X0,X1,X2) | $less(sK3(X0,X1,X2),X2) | ~model_max(X0,X1,X2)) )), 29.32/29.75 inference(cnf_transformation,[],[f34])). 29.32/29.75 tff(f58,plain,( 29.32/29.75 ( ! [X4:$int,X2:$int,X0:$int,X1:$int] : (~$less(X4,X2) | ~model_ub(X0,X1,X4) | ~minsol_model_ub(X0,X1,X2)) )), 29.32/29.75 inference(cnf_transformation,[],[f39])). 29.32/29.75 tff(f59,plain,( 29.32/29.75 ( ! [X2:$int,X0:$int,X1:$int] : (model_ub(X0,X1,X2) | ~minsol_model_ub(X0,X1,X2)) )), 29.32/29.75 inference(cnf_transformation,[],[f39])). 29.32/29.75 tff(f60,plain,( 29.32/29.75 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | model_ub(X0,X1,sK4(X0,X1,X2))) )), 29.32/29.75 inference(cnf_transformation,[],[f39])). 29.32/29.75 tff(f61,plain,( 29.32/29.75 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | $less(sK4(X0,X1,X2),X2)) )), 29.32/29.75 inference(cnf_transformation,[],[f39])). 29.32/29.75 tff(f62,plain,( 29.32/29.75 ( ! [X2:$int,X0:$int,X1:$int] : (model_max(X0,X1,X2) | $less(X2,$sum(c,summation(max(X0,X1))))) )), 29.32/29.75 inference(cnf_transformation,[],[f40])). 29.32/29.75 tff(f63,plain,( 29.32/29.75 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,$sum(c,summation(max(X0,X1)))) | ~model_max(X0,X1,X2)) )), 29.32/29.75 inference(cnf_transformation,[],[f40])). 29.32/29.75 tff(f64,plain,( 29.32/29.75 ( ! [X4:$int,X2:$int,X0:$int,X1:$int] : (model_ub(X0,X1,X2) | ~ub(X0,X1,X4) | $less(X2,$sum(c,summation(X4)))) )), 29.32/29.75 inference(cnf_transformation,[],[f44])). 29.32/29.75 tff(f65,plain,( 29.32/29.75 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,$sum(c,summation(sK5(X0,X1,X2)))) | ~model_ub(X0,X1,X2)) )), 29.32/29.75 inference(cnf_transformation,[],[f44])). 29.32/29.75 tff(f66,plain,( 29.32/29.75 ( ! [X2:$int,X0:$int,X1:$int] : (ub(X0,X1,sK5(X0,X1,X2)) | ~model_ub(X0,X1,X2)) )), 29.32/29.75 inference(cnf_transformation,[],[f44])). 29.32/29.75 tff(f68,plain,( 29.32/29.75 spl6_1 <=> ~minsol_model_ub(sK0,sK1,sK2)), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_1])])). 29.32/29.75 tff(f69,plain,( 29.32/29.75 ~minsol_model_ub(sK0,sK1,sK2) | ~spl6_1), 29.32/29.75 inference(avatar_component_clause,[],[f68])). 29.32/29.75 tff(f71,plain,( 29.32/29.75 spl6_3 <=> ~minsol_model_max(sK0,sK1,sK2)), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_3])])). 29.32/29.75 tff(f72,plain,( 29.32/29.75 ~minsol_model_max(sK0,sK1,sK2) | ~spl6_3), 29.32/29.75 inference(avatar_component_clause,[],[f71])). 29.32/29.75 tff(f73,plain,( 29.32/29.75 ~spl6_1 | ~spl6_3), 29.32/29.75 inference(avatar_split_clause,[],[f46,f71,f68])). 29.32/29.75 tff(f75,plain,( 29.32/29.75 spl6_0 <=> minsol_model_ub(sK0,sK1,sK2)), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_0])])). 29.32/29.75 tff(f76,plain,( 29.32/29.75 minsol_model_ub(sK0,sK1,sK2) | ~spl6_0), 29.32/29.75 inference(avatar_component_clause,[],[f75])). 29.32/29.75 tff(f78,plain,( 29.32/29.75 spl6_2 <=> minsol_model_max(sK0,sK1,sK2)), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_2])])). 29.32/29.75 tff(f79,plain,( 29.32/29.75 minsol_model_max(sK0,sK1,sK2) | ~spl6_2), 29.32/29.75 inference(avatar_component_clause,[],[f78])). 29.32/29.75 tff(f80,plain,( 29.32/29.75 spl6_0 | spl6_2), 29.32/29.75 inference(avatar_split_clause,[],[f45,f78,f75])). 29.32/29.75 tff(f81,plain,( 29.32/29.75 ~model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_1), 29.32/29.75 inference(resolution,[],[f69,f60])). 29.32/29.75 tff(f82,plain,( 29.32/29.75 ~model_ub(sK0,sK1,sK2) | $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_1), 29.32/29.75 inference(resolution,[],[f69,f61])). 29.32/29.75 tff(f84,plain,( 29.32/29.75 spl6_4 <=> model_ub(sK0,sK1,sK4(sK0,sK1,sK2))), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_4])])). 29.32/29.75 tff(f85,plain,( 29.32/29.75 model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_4), 29.32/29.75 inference(avatar_component_clause,[],[f84])). 29.32/29.75 tff(f87,plain,( 29.32/29.75 spl6_7 <=> ~model_ub(sK0,sK1,sK2)), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_7])])). 29.32/29.75 tff(f88,plain,( 29.32/29.75 ~model_ub(sK0,sK1,sK2) | ~spl6_7), 29.32/29.75 inference(avatar_component_clause,[],[f87])). 29.32/29.75 tff(f89,plain,( 29.32/29.75 spl6_4 | ~spl6_7 | spl6_1), 29.32/29.75 inference(avatar_split_clause,[],[f81,f68,f87,f84])). 29.32/29.75 tff(f91,plain,( 29.32/29.75 spl6_8 <=> $less(sK4(sK0,sK1,sK2),sK2)), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_8])])). 29.32/29.75 tff(f92,plain,( 29.32/29.75 $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_8), 29.32/29.75 inference(avatar_component_clause,[],[f91])). 29.32/29.75 tff(f93,plain,( 29.32/29.75 spl6_8 | ~spl6_7 | spl6_1), 29.32/29.75 inference(avatar_split_clause,[],[f82,f68,f87,f91])). 29.32/29.75 tff(f94,plain,( 29.32/29.75 model_max(sK0,sK1,sK2) | ~spl6_2), 29.32/29.75 inference(resolution,[],[f79,f54])). 29.32/29.75 tff(f95,plain,( 29.32/29.75 ( ! [X0:$int] : (~model_max(sK0,sK1,X0) | ~$less(X0,sK2)) ) | ~spl6_2), 29.32/29.75 inference(resolution,[],[f79,f55])). 29.32/29.75 tff(f97,plain,( 29.32/29.75 spl6_10 <=> model_max(sK0,sK1,sK2)), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_10])])). 29.32/29.75 tff(f98,plain,( 29.32/29.75 model_max(sK0,sK1,sK2) | ~spl6_10), 29.32/29.75 inference(avatar_component_clause,[],[f97])). 29.32/29.75 tff(f99,plain,( 29.32/29.75 spl6_10 | ~spl6_2), 29.32/29.75 inference(avatar_split_clause,[],[f94,f78,f97])). 29.32/29.75 tff(f100,plain,( 29.32/29.75 model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~model_max(sK0,sK1,sK2) | ~spl6_3), 29.32/29.75 inference(resolution,[],[f72,f56])). 29.32/29.75 tff(f101,plain,( 29.32/29.75 $less(sK3(sK0,sK1,sK2),sK2) | ~model_max(sK0,sK1,sK2) | ~spl6_3), 29.32/29.75 inference(resolution,[],[f72,f57])). 29.32/29.75 tff(f103,plain,( 29.32/29.75 spl6_11 <=> ~model_max(sK0,sK1,sK2)), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_11])])). 29.32/29.75 tff(f104,plain,( 29.32/29.75 ~model_max(sK0,sK1,sK2) | ~spl6_11), 29.32/29.75 inference(avatar_component_clause,[],[f103])). 29.32/29.75 tff(f106,plain,( 29.32/29.75 spl6_12 <=> model_max(sK0,sK1,sK3(sK0,sK1,sK2))), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_12])])). 29.32/29.75 tff(f107,plain,( 29.32/29.75 model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_12), 29.32/29.75 inference(avatar_component_clause,[],[f106])). 29.32/29.75 tff(f108,plain,( 29.32/29.75 ~spl6_11 | spl6_12 | spl6_3), 29.32/29.75 inference(avatar_split_clause,[],[f100,f71,f106,f103])). 29.32/29.75 tff(f110,plain,( 29.32/29.75 spl6_14 <=> $less(sK3(sK0,sK1,sK2),sK2)), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_14])])). 29.32/29.75 tff(f111,plain,( 29.32/29.75 $less(sK3(sK0,sK1,sK2),sK2) | ~spl6_14), 29.32/29.75 inference(avatar_component_clause,[],[f110])). 29.32/29.75 tff(f112,plain,( 29.32/29.75 ~spl6_11 | spl6_14 | spl6_3), 29.32/29.75 inference(avatar_split_clause,[],[f101,f71,f110,f103])). 29.32/29.75 tff(f113,plain,( 29.32/29.75 ( ! [X0:$int] : (~model_ub(sK0,sK1,X0) | ~$less(X0,sK2)) ) | ~spl6_0), 29.32/29.75 inference(resolution,[],[f76,f58])). 29.32/29.75 tff(f114,plain,( 29.32/29.75 model_ub(sK0,sK1,sK2) | ~spl6_0), 29.32/29.75 inference(resolution,[],[f76,f59])). 29.32/29.75 tff(f116,plain,( 29.32/29.75 spl6_6 <=> model_ub(sK0,sK1,sK2)), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_6])])). 29.32/29.75 tff(f117,plain,( 29.32/29.75 model_ub(sK0,sK1,sK2) | ~spl6_6), 29.32/29.75 inference(avatar_component_clause,[],[f116])). 29.32/29.75 tff(f118,plain,( 29.32/29.75 spl6_6 | ~spl6_0), 29.32/29.75 inference(avatar_split_clause,[],[f114,f75,f116])). 29.32/29.75 tff(f119,plain,( 29.32/29.75 ~model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_1), 29.32/29.75 inference(resolution,[],[f69,f60])). 29.32/29.75 tff(f120,plain,( 29.32/29.75 ~model_ub(sK0,sK1,sK2) | $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_1), 29.32/29.75 inference(resolution,[],[f69,f61])). 29.32/29.75 tff(f123,plain,( 29.32/29.75 ( ! [X0:$int] : (~ub(sK0,sK1,X0) | $less(sK2,$sum(c,summation(X0)))) ) | ~spl6_7), 29.32/29.75 inference(resolution,[],[f88,f64])). 29.32/29.75 tff(f124,plain,( 29.32/29.75 ~minsol_model_ub(sK0,sK1,sK2) | ~spl6_7), 29.32/29.75 inference(resolution,[],[f88,f59])). 29.32/29.75 tff(f125,plain,( 29.32/29.75 ~$less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_10), 29.32/29.75 inference(resolution,[],[f98,f63])). 29.32/29.75 tff(f126,plain,( 29.32/29.75 ( ! [X0:$int] : (~minsol_model_max(sK0,sK1,X0) | ~$less(sK2,X0)) ) | ~spl6_10), 29.32/29.75 inference(resolution,[],[f98,f55])). 29.32/29.75 tff(f127,plain,( 29.32/29.75 minsol_model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_10), 29.32/29.75 inference(resolution,[],[f98,f56])). 29.32/29.75 tff(f128,plain,( 29.32/29.75 minsol_model_max(sK0,sK1,sK2) | $less(sK3(sK0,sK1,sK2),sK2) | ~spl6_10), 29.32/29.75 inference(resolution,[],[f98,f57])). 29.32/29.75 tff(f130,plain,( 29.32/29.75 spl6_17 <=> ~$less(sK2,$sum(c,summation(max(sK0,sK1))))), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_17])])). 29.32/29.75 tff(f131,plain,( 29.32/29.75 ~$less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_17), 29.32/29.75 inference(avatar_component_clause,[],[f130])). 29.32/29.75 tff(f132,plain,( 29.32/29.75 ~spl6_17 | ~spl6_10), 29.32/29.75 inference(avatar_split_clause,[],[f125,f97,f130])). 29.32/29.75 tff(f133,plain,( 29.32/29.75 ~$less(sK2,sK2) | (~spl6_2 | ~spl6_10)), 29.32/29.75 inference(resolution,[],[f95,f98])). 29.32/29.75 tff(f135,plain,( 29.32/29.75 ( ! [X1:$int] : ($less(X1,$sum(c,summation(max(sK0,sK1)))) | ~$less(X1,sK2)) ) | ~spl6_2), 29.32/29.75 inference(resolution,[],[f95,f62])). 29.32/29.75 tff(f138,plain,( 29.32/29.75 spl6_19 <=> ~$less(sK2,sK2)), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_19])])). 29.32/29.75 tff(f139,plain,( 29.32/29.75 ~$less(sK2,sK2) | ~spl6_19), 29.32/29.75 inference(avatar_component_clause,[],[f138])). 29.32/29.75 tff(f140,plain,( 29.32/29.75 ~spl6_19 | ~spl6_2 | ~spl6_10), 29.32/29.75 inference(avatar_split_clause,[],[f133,f97,f78,f138])). 29.32/29.75 tff(f143,plain,( 29.32/29.75 ~$less(summation(sK2),summation(sK2)) | ~spl6_19), 29.32/29.75 inference(resolution,[],[f139,f50])). 29.32/29.75 tff(f144,plain,( 29.32/29.75 max(sK2,sK2) = sK2 | ~spl6_19), 29.32/29.75 inference(resolution,[],[f139,f48])). 29.32/29.75 tff(f145,plain,( 29.32/29.75 max(sK2,sK2) = sK2 | ~spl6_19), 29.32/29.75 inference(resolution,[],[f139,f47])). 29.32/29.75 tff(f147,plain,( 29.32/29.75 spl6_21 <=> ~$less(summation(sK2),summation(sK2))), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_21])])). 29.32/29.75 tff(f148,plain,( 29.32/29.75 ~$less(summation(sK2),summation(sK2)) | ~spl6_21), 29.32/29.75 inference(avatar_component_clause,[],[f147])). 29.32/29.75 tff(f149,plain,( 29.32/29.75 ~spl6_21 | spl6_19), 29.32/29.75 inference(avatar_split_clause,[],[f143,f138,f147])). 29.32/29.75 tff(f151,plain,( 29.32/29.75 spl6_22 <=> max(sK2,sK2) = sK2), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_22])])). 29.32/29.75 tff(f152,plain,( 29.32/29.75 max(sK2,sK2) = sK2 | ~spl6_22), 29.32/29.75 inference(avatar_component_clause,[],[f151])). 29.32/29.75 tff(f153,plain,( 29.32/29.75 spl6_22 | spl6_19), 29.32/29.75 inference(avatar_split_clause,[],[f144,f138,f151])). 29.32/29.75 tff(f154,plain,( 29.32/29.75 spl6_22 | spl6_19), 29.32/29.75 inference(avatar_split_clause,[],[f145,f138,f151])). 29.32/29.75 tff(f158,plain,( 29.32/29.75 ~$less(summation(summation(sK2)),summation(summation(sK2))) | ~spl6_21), 29.32/29.75 inference(resolution,[],[f148,f50])). 29.32/29.75 tff(f159,plain,( 29.32/29.75 summation(sK2) = max(summation(sK2),summation(sK2)) | ~spl6_21), 29.32/29.75 inference(resolution,[],[f148,f48])). 29.32/29.75 tff(f160,plain,( 29.32/29.75 summation(sK2) = max(summation(sK2),summation(sK2)) | ~spl6_21), 29.32/29.75 inference(resolution,[],[f148,f47])). 29.32/29.75 tff(f162,plain,( 29.32/29.75 spl6_25 <=> ~$less(summation(summation(sK2)),summation(summation(sK2)))), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_25])])). 29.32/29.75 tff(f163,plain,( 29.32/29.75 ~$less(summation(summation(sK2)),summation(summation(sK2))) | ~spl6_25), 29.32/29.75 inference(avatar_component_clause,[],[f162])). 29.32/29.75 tff(f164,plain,( 29.32/29.75 ~spl6_25 | spl6_21), 29.32/29.75 inference(avatar_split_clause,[],[f158,f147,f162])). 29.32/29.75 tff(f166,plain,( 29.32/29.75 spl6_26 <=> summation(sK2) = max(summation(sK2),summation(sK2))), 29.32/29.75 introduced(avatar_definition,[new_symbols(naming,[spl6_26])])). 29.32/29.75 tff(f167,plain,( 29.32/29.75 summation(sK2) = max(summation(sK2),summation(sK2)) | ~spl6_26), 29.32/29.75 inference(avatar_component_clause,[],[f166])). 29.32/29.75 tff(f168,plain,( 29.32/29.75 spl6_26 | spl6_21), 29.32/29.75 inference(avatar_split_clause,[],[f159,f147,f166])). 29.32/29.75 tff(f169,plain,( 29.32/29.75 spl6_26 | spl6_21), 29.32/29.75 inference(avatar_split_clause,[],[f160,f147,f166])). 29.32/29.75 tff(f176,plain,( 29.32/29.75 model_max(sK0,sK1,sK2) | ~spl6_17), 29.32/29.75 inference(resolution,[],[f131,f62])). 29.32/29.75 tff(f180,plain,( 29.32/29.75 ~$less(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_17), 29.32/29.75 inference(resolution,[],[f131,f50])). 29.32/29.75 tff(f181,plain,( 29.32/29.75 max(sK2,$sum(c,summation(max(sK0,sK1)))) = sK2 | ~spl6_17), 29.32/29.75 inference(resolution,[],[f131,f48])). 29.32/29.75 tff(f182,plain,( 29.32/29.75 max($sum(c,summation(max(sK0,sK1))),sK2) = sK2 | ~spl6_17), 29.32/29.75 inference(resolution,[],[f131,f47])). 29.32/29.75 tff(f183,plain,( 29.32/29.76 ~$less(sK2,$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_17), 29.32/29.76 inference(superposition,[],[f131,f48])). 29.32/29.76 tff(f184,plain,( 29.32/29.76 ~$less(sK2,$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_17), 29.32/29.76 inference(superposition,[],[f131,f47])). 29.32/29.76 tff(f186,plain,( 29.32/29.76 spl6_29 <=> ~$less(summation(sK2),summation($sum(c,summation(max(sK0,sK1)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_29])])). 29.32/29.76 tff(f187,plain,( 29.32/29.76 ~$less(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_29), 29.32/29.76 inference(avatar_component_clause,[],[f186])). 29.32/29.76 tff(f188,plain,( 29.32/29.76 ~spl6_29 | spl6_17), 29.32/29.76 inference(avatar_split_clause,[],[f180,f130,f186])). 29.32/29.76 tff(f190,plain,( 29.32/29.76 spl6_30 <=> max(sK2,$sum(c,summation(max(sK0,sK1)))) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_30])])). 29.32/29.76 tff(f191,plain,( 29.32/29.76 max(sK2,$sum(c,summation(max(sK0,sK1)))) = sK2 | ~spl6_30), 29.32/29.76 inference(avatar_component_clause,[],[f190])). 29.32/29.76 tff(f192,plain,( 29.32/29.76 spl6_30 | spl6_17), 29.32/29.76 inference(avatar_split_clause,[],[f181,f130,f190])). 29.32/29.76 tff(f194,plain,( 29.32/29.76 spl6_32 <=> max($sum(c,summation(max(sK0,sK1))),sK2) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_32])])). 29.32/29.76 tff(f195,plain,( 29.32/29.76 max($sum(c,summation(max(sK0,sK1))),sK2) = sK2 | ~spl6_32), 29.32/29.76 inference(avatar_component_clause,[],[f194])). 29.32/29.76 tff(f196,plain,( 29.32/29.76 spl6_32 | spl6_17), 29.32/29.76 inference(avatar_split_clause,[],[f182,f130,f194])). 29.32/29.76 tff(f198,plain,( 29.32/29.76 spl6_34 <=> $less(sK0,sK1)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_34])])). 29.32/29.76 tff(f199,plain,( 29.32/29.76 $less(sK0,sK1) | ~spl6_34), 29.32/29.76 inference(avatar_component_clause,[],[f198])). 29.32/29.76 tff(f201,plain,( 29.32/29.76 spl6_37 <=> ~$less(sK2,$sum(c,summation(sK0)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_37])])). 29.32/29.76 tff(f202,plain,( 29.32/29.76 ~$less(sK2,$sum(c,summation(sK0))) | ~spl6_37), 29.32/29.76 inference(avatar_component_clause,[],[f201])). 29.32/29.76 tff(f203,plain,( 29.32/29.76 spl6_34 | ~spl6_37 | spl6_17), 29.32/29.76 inference(avatar_split_clause,[],[f183,f130,f201,f198])). 29.32/29.76 tff(f205,plain,( 29.32/29.76 spl6_38 <=> $less(sK1,sK0)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_38])])). 29.32/29.76 tff(f206,plain,( 29.32/29.76 $less(sK1,sK0) | ~spl6_38), 29.32/29.76 inference(avatar_component_clause,[],[f205])). 29.32/29.76 tff(f208,plain,( 29.32/29.76 spl6_41 <=> ~$less(sK2,$sum(c,summation(sK1)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_41])])). 29.32/29.76 tff(f209,plain,( 29.32/29.76 ~$less(sK2,$sum(c,summation(sK1))) | ~spl6_41), 29.32/29.76 inference(avatar_component_clause,[],[f208])). 29.32/29.76 tff(f210,plain,( 29.32/29.76 spl6_38 | ~spl6_41 | spl6_17), 29.32/29.76 inference(avatar_split_clause,[],[f184,f130,f208,f205])). 29.32/29.76 tff(f215,plain,( 29.32/29.76 $less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_11), 29.32/29.76 inference(resolution,[],[f104,f62])). 29.32/29.76 tff(f216,plain,( 29.32/29.76 ~minsol_model_max(sK0,sK1,sK2) | ~spl6_11), 29.32/29.76 inference(resolution,[],[f104,f54])). 29.32/29.76 tff(f218,plain,( 29.32/29.76 spl6_16 <=> $less(sK2,$sum(c,summation(max(sK0,sK1))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_16])])). 29.32/29.76 tff(f219,plain,( 29.32/29.76 $less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_16), 29.32/29.76 inference(avatar_component_clause,[],[f218])). 29.32/29.76 tff(f220,plain,( 29.32/29.76 spl6_16 | spl6_11), 29.32/29.76 inference(avatar_split_clause,[],[f215,f103,f218])). 29.32/29.76 tff(f221,plain,( 29.32/29.76 ~$less(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) | ~spl6_6), 29.32/29.76 inference(resolution,[],[f117,f65])). 29.32/29.76 tff(f222,plain,( 29.32/29.76 ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_6), 29.32/29.76 inference(resolution,[],[f117,f66])). 29.32/29.76 tff(f223,plain,( 29.32/29.76 ( ! [X0:$int] : (~minsol_model_ub(sK0,sK1,X0) | ~$less(sK2,X0)) ) | ~spl6_6), 29.32/29.76 inference(resolution,[],[f117,f58])). 29.32/29.76 tff(f224,plain,( 29.32/29.76 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_6), 29.32/29.76 inference(resolution,[],[f117,f60])). 29.32/29.76 tff(f225,plain,( 29.32/29.76 minsol_model_ub(sK0,sK1,sK2) | $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_6), 29.32/29.76 inference(resolution,[],[f117,f61])). 29.32/29.76 tff(f227,plain,( 29.32/29.76 spl6_43 <=> ~$less(sK2,$sum(c,summation(sK5(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_43])])). 29.32/29.76 tff(f228,plain,( 29.32/29.76 ~$less(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) | ~spl6_43), 29.32/29.76 inference(avatar_component_clause,[],[f227])). 29.32/29.76 tff(f229,plain,( 29.32/29.76 ~spl6_43 | ~spl6_6), 29.32/29.76 inference(avatar_split_clause,[],[f221,f116,f227])). 29.32/29.76 tff(f231,plain,( 29.32/29.76 spl6_44 <=> ub(sK0,sK1,sK5(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_44])])). 29.32/29.76 tff(f232,plain,( 29.32/29.76 ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_44), 29.32/29.76 inference(avatar_component_clause,[],[f231])). 29.32/29.76 tff(f233,plain,( 29.32/29.76 spl6_44 | ~spl6_6), 29.32/29.76 inference(avatar_split_clause,[],[f222,f116,f231])). 29.32/29.76 tff(f234,plain,( 29.32/29.76 spl6_10 | spl6_17), 29.32/29.76 inference(avatar_split_clause,[],[f176,f130,f97])). 29.32/29.76 tff(f235,plain,( 29.32/29.76 spl6_14 | spl6_2 | ~spl6_10), 29.32/29.76 inference(avatar_split_clause,[],[f128,f97,f78,f110])). 29.32/29.76 tff(f236,plain,( 29.32/29.76 spl6_12 | spl6_2 | ~spl6_10), 29.32/29.76 inference(avatar_split_clause,[],[f127,f97,f78,f106])). 29.32/29.76 tff(f237,plain,( 29.32/29.76 ~spl6_1 | spl6_7), 29.32/29.76 inference(avatar_split_clause,[],[f124,f87,f68])). 29.32/29.76 tff(f238,plain,( 29.32/29.76 ~spl6_3 | spl6_11), 29.32/29.76 inference(avatar_split_clause,[],[f216,f103,f71])). 29.32/29.76 tff(f239,plain,( 29.32/29.76 spl6_8 | spl6_0 | ~spl6_6), 29.32/29.76 inference(avatar_split_clause,[],[f225,f116,f75,f91])). 29.32/29.76 tff(f240,plain,( 29.32/29.76 spl6_4 | spl6_0 | ~spl6_6), 29.32/29.76 inference(avatar_split_clause,[],[f224,f116,f75,f84])). 29.32/29.76 tff(f246,plain,( 29.32/29.76 ~minsol_model_max(sK0,sK1,sK2) | ~spl6_11), 29.32/29.76 inference(resolution,[],[f104,f54])). 29.32/29.76 tff(f250,plain,( 29.32/29.76 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_6), 29.32/29.76 inference(resolution,[],[f117,f60])). 29.32/29.76 tff(f251,plain,( 29.32/29.76 minsol_model_ub(sK0,sK1,sK2) | $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_6), 29.32/29.76 inference(resolution,[],[f117,f61])). 29.32/29.76 tff(f254,plain,( 29.32/29.76 ( ! [X2:$int,X1:$int] : (~ub(sK0,sK1,X2) | ~$less(X1,sK2) | $less(X1,$sum(c,summation(X2)))) ) | ~spl6_0), 29.32/29.76 inference(resolution,[],[f113,f64])). 29.32/29.76 tff(f258,plain,( 29.32/29.76 ( ! [X1:$int] : (~model_ub(sK0,sK1,X1) | ~$less(sK2,X1) | $less(sK4(sK0,sK1,X1),X1)) ) | ~spl6_6), 29.32/29.76 inference(resolution,[],[f223,f61])). 29.32/29.76 tff(f259,plain,( 29.32/29.76 ( ! [X0:$int] : (model_ub(sK0,sK1,X0) | $less(X0,$sum(c,summation(sK5(sK0,sK1,sK2))))) ) | ~spl6_44), 29.32/29.76 inference(resolution,[],[f232,f64])). 29.32/29.76 tff(f260,plain,( 29.32/29.76 ~$less(sK5(sK0,sK1,sK2),sK1) | ~spl6_44), 29.32/29.76 inference(resolution,[],[f232,f51])). 29.32/29.76 tff(f261,plain,( 29.32/29.76 ~$less(sK5(sK0,sK1,sK2),sK0) | ~spl6_44), 29.32/29.76 inference(resolution,[],[f232,f52])). 29.32/29.76 tff(f263,plain,( 29.32/29.76 spl6_47 <=> ~$less(sK5(sK0,sK1,sK2),sK1)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_47])])). 29.32/29.76 tff(f264,plain,( 29.32/29.76 ~$less(sK5(sK0,sK1,sK2),sK1) | ~spl6_47), 29.32/29.76 inference(avatar_component_clause,[],[f263])). 29.32/29.76 tff(f265,plain,( 29.32/29.76 ~spl6_47 | ~spl6_44), 29.32/29.76 inference(avatar_split_clause,[],[f260,f231,f263])). 29.32/29.76 tff(f267,plain,( 29.32/29.76 spl6_49 <=> ~$less(sK5(sK0,sK1,sK2),sK0)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_49])])). 29.32/29.76 tff(f268,plain,( 29.32/29.76 ~$less(sK5(sK0,sK1,sK2),sK0) | ~spl6_49), 29.32/29.76 inference(avatar_component_clause,[],[f267])). 29.32/29.76 tff(f269,plain,( 29.32/29.76 ~spl6_49 | ~spl6_44), 29.32/29.76 inference(avatar_split_clause,[],[f261,f231,f267])). 29.32/29.76 tff(f273,plain,( 29.32/29.76 ~model_max(sK0,sK1,sK2) | ~spl6_16), 29.32/29.76 inference(resolution,[],[f219,f63])). 29.32/29.76 tff(f278,plain,( 29.32/29.76 $less(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_16), 29.32/29.76 inference(resolution,[],[f219,f49])). 29.32/29.76 tff(f279,plain,( 29.32/29.76 $less(sK2,$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_16), 29.32/29.76 inference(superposition,[],[f219,f48])). 29.32/29.76 tff(f280,plain,( 29.32/29.76 $less(sK2,$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_16), 29.32/29.76 inference(superposition,[],[f219,f47])). 29.32/29.76 tff(f282,plain,( 29.32/29.76 spl6_28 <=> $less(summation(sK2),summation($sum(c,summation(max(sK0,sK1)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_28])])). 29.32/29.76 tff(f284,plain,( 29.32/29.76 spl6_28 | ~spl6_16), 29.32/29.76 inference(avatar_split_clause,[],[f278,f218,f282])). 29.32/29.76 tff(f286,plain,( 29.32/29.76 spl6_36 <=> $less(sK2,$sum(c,summation(sK0)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_36])])). 29.32/29.76 tff(f288,plain,( 29.32/29.76 spl6_34 | spl6_36 | ~spl6_16), 29.32/29.76 inference(avatar_split_clause,[],[f279,f218,f286,f198])). 29.32/29.76 tff(f290,plain,( 29.32/29.76 spl6_40 <=> $less(sK2,$sum(c,summation(sK1)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_40])])). 29.32/29.76 tff(f292,plain,( 29.32/29.76 spl6_38 | spl6_40 | ~spl6_16), 29.32/29.76 inference(avatar_split_clause,[],[f280,f218,f290,f205])). 29.32/29.76 tff(f293,plain,( 29.32/29.76 ( ! [X0:$int,X1:$int] : (~ub(X0,X1,sK5(sK0,sK1,sK2)) | model_ub(X0,X1,sK2)) ) | ~spl6_43), 29.32/29.76 inference(resolution,[],[f228,f64])). 29.32/29.76 tff(f296,plain,( 29.32/29.76 ~$less(summation(sK2),summation($sum(c,summation(sK5(sK0,sK1,sK2))))) | ~spl6_43), 29.32/29.76 inference(resolution,[],[f228,f50])). 29.32/29.76 tff(f297,plain,( 29.32/29.76 max(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) = sK2 | ~spl6_43), 29.32/29.76 inference(resolution,[],[f228,f48])). 29.32/29.76 tff(f298,plain,( 29.32/29.76 max($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) = sK2 | ~spl6_43), 29.32/29.76 inference(resolution,[],[f228,f47])). 29.32/29.76 tff(f300,plain,( 29.32/29.76 spl6_51 <=> ~$less(summation(sK2),summation($sum(c,summation(sK5(sK0,sK1,sK2)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_51])])). 29.32/29.76 tff(f301,plain,( 29.32/29.76 ~$less(summation(sK2),summation($sum(c,summation(sK5(sK0,sK1,sK2))))) | ~spl6_51), 29.32/29.76 inference(avatar_component_clause,[],[f300])). 29.32/29.76 tff(f302,plain,( 29.32/29.76 ~spl6_51 | spl6_43), 29.32/29.76 inference(avatar_split_clause,[],[f296,f227,f300])). 29.32/29.76 tff(f304,plain,( 29.32/29.76 spl6_52 <=> max(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_52])])). 29.32/29.76 tff(f305,plain,( 29.32/29.76 max(sK2,$sum(c,summation(sK5(sK0,sK1,sK2)))) = sK2 | ~spl6_52), 29.32/29.76 inference(avatar_component_clause,[],[f304])). 29.32/29.76 tff(f306,plain,( 29.32/29.76 spl6_52 | spl6_43), 29.32/29.76 inference(avatar_split_clause,[],[f297,f227,f304])). 29.32/29.76 tff(f308,plain,( 29.32/29.76 spl6_54 <=> max($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_54])])). 29.32/29.76 tff(f310,plain,( 29.32/29.76 spl6_54 | spl6_43), 29.32/29.76 inference(avatar_split_clause,[],[f298,f227,f308])). 29.32/29.76 tff(f315,plain,( 29.32/29.76 $less(summation(sK1),summation(sK0)) | ~spl6_38), 29.32/29.76 inference(resolution,[],[f206,f49])). 29.32/29.76 tff(f317,plain,( 29.32/29.76 spl6_56 <=> $less(summation(sK1),summation(sK0))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_56])])). 29.32/29.76 tff(f318,plain,( 29.32/29.76 $less(summation(sK1),summation(sK0)) | ~spl6_56), 29.32/29.76 inference(avatar_component_clause,[],[f317])). 29.32/29.76 tff(f319,plain,( 29.32/29.76 spl6_56 | ~spl6_38), 29.32/29.76 inference(avatar_split_clause,[],[f315,f205,f317])). 29.32/29.76 tff(f321,plain,( 29.32/29.76 ( ! [X2:$int,X1:$int] : ($less(X1,$sum(c,summation(X2))) | ~$less(X1,sK2) | $less(X2,sK0) | $less(X2,sK1)) ) | ~spl6_0), 29.32/29.76 inference(resolution,[],[f254,f53])). 29.32/29.76 tff(f330,plain,( 29.32/29.76 ( ! [X0:$int] : (model_max(sK2,sK2,X0) | $less(X0,$sum(c,summation(sK2)))) ) | ~spl6_22), 29.32/29.76 inference(superposition,[],[f62,f152])). 29.32/29.76 tff(f334,plain,( 29.32/29.76 ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK1)) | ~spl6_47), 29.32/29.76 inference(resolution,[],[f264,f50])). 29.32/29.76 tff(f335,plain,( 29.32/29.76 max(sK5(sK0,sK1,sK2),sK1) = sK5(sK0,sK1,sK2) | ~spl6_47), 29.32/29.76 inference(resolution,[],[f264,f48])). 29.32/29.76 tff(f336,plain,( 29.32/29.76 max(sK1,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) | ~spl6_47), 29.32/29.76 inference(resolution,[],[f264,f47])). 29.32/29.76 tff(f338,plain,( 29.32/29.76 spl6_59 <=> ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK1))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_59])])). 29.32/29.76 tff(f339,plain,( 29.32/29.76 ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK1)) | ~spl6_59), 29.32/29.76 inference(avatar_component_clause,[],[f338])). 29.32/29.76 tff(f340,plain,( 29.32/29.76 ~spl6_59 | spl6_47), 29.32/29.76 inference(avatar_split_clause,[],[f334,f263,f338])). 29.32/29.76 tff(f342,plain,( 29.32/29.76 spl6_60 <=> max(sK5(sK0,sK1,sK2),sK1) = sK5(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_60])])). 29.32/29.76 tff(f343,plain,( 29.32/29.76 max(sK5(sK0,sK1,sK2),sK1) = sK5(sK0,sK1,sK2) | ~spl6_60), 29.32/29.76 inference(avatar_component_clause,[],[f342])). 29.32/29.76 tff(f344,plain,( 29.32/29.76 spl6_60 | spl6_47), 29.32/29.76 inference(avatar_split_clause,[],[f335,f263,f342])). 29.32/29.76 tff(f346,plain,( 29.32/29.76 spl6_62 <=> max(sK1,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_62])])). 29.32/29.76 tff(f348,plain,( 29.32/29.76 spl6_62 | spl6_47), 29.32/29.76 inference(avatar_split_clause,[],[f336,f263,f346])). 29.32/29.76 tff(f349,plain,( 29.32/29.76 spl6_10 | spl6_17), 29.32/29.76 inference(avatar_split_clause,[],[f176,f130,f97])). 29.32/29.76 tff(f350,plain,( 29.32/29.76 spl6_14 | spl6_2 | ~spl6_10), 29.32/29.76 inference(avatar_split_clause,[],[f128,f97,f78,f110])). 29.32/29.76 tff(f351,plain,( 29.32/29.76 spl6_12 | spl6_2 | ~spl6_10), 29.32/29.76 inference(avatar_split_clause,[],[f127,f97,f78,f106])). 29.32/29.76 tff(f352,plain,( 29.32/29.76 ~spl6_1 | spl6_7), 29.32/29.76 inference(avatar_split_clause,[],[f124,f87,f68])). 29.32/29.76 tff(f353,plain,( 29.32/29.76 ~model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_1), 29.32/29.76 inference(resolution,[],[f69,f60])). 29.32/29.76 tff(f354,plain,( 29.32/29.76 ~model_ub(sK0,sK1,sK2) | $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_1), 29.32/29.76 inference(resolution,[],[f69,f61])). 29.32/29.76 tff(f358,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,sK2) | ~spl6_7), 29.32/29.76 inference(resolution,[],[f88,f59])). 29.32/29.76 tff(f361,plain,( 29.32/29.76 minsol_model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_10), 29.32/29.76 inference(resolution,[],[f98,f56])). 29.32/29.76 tff(f362,plain,( 29.32/29.76 minsol_model_max(sK0,sK1,sK2) | $less(sK3(sK0,sK1,sK2),sK2) | ~spl6_10), 29.32/29.76 inference(resolution,[],[f98,f57])). 29.32/29.76 tff(f367,plain,( 29.32/29.76 $less(summation(sK0),summation(sK1)) | ~spl6_34), 29.32/29.76 inference(resolution,[],[f199,f49])). 29.32/29.76 tff(f369,plain,( 29.32/29.76 spl6_64 <=> $less(summation(sK0),summation(sK1))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_64])])). 29.32/29.76 tff(f370,plain,( 29.32/29.76 $less(summation(sK0),summation(sK1)) | ~spl6_64), 29.32/29.76 inference(avatar_component_clause,[],[f369])). 29.32/29.76 tff(f371,plain,( 29.32/29.76 spl6_64 | ~spl6_34), 29.32/29.76 inference(avatar_split_clause,[],[f367,f198,f369])). 29.32/29.76 tff(f373,plain,( 29.32/29.76 ~spl6_11 | ~spl6_16), 29.32/29.76 inference(avatar_split_clause,[],[f273,f218,f103])). 29.32/29.76 tff(f374,plain,( 29.32/29.76 ~spl6_3 | spl6_11), 29.32/29.76 inference(avatar_split_clause,[],[f246,f103,f71])). 29.32/29.76 tff(f375,plain,( 29.32/29.76 ~spl6_3 | spl6_11), 29.32/29.76 inference(avatar_split_clause,[],[f216,f103,f71])). 29.32/29.76 tff(f376,plain,( 29.32/29.76 spl6_8 | spl6_0 | ~spl6_6), 29.32/29.76 inference(avatar_split_clause,[],[f251,f116,f75,f91])). 29.32/29.76 tff(f377,plain,( 29.32/29.76 spl6_4 | spl6_0 | ~spl6_6), 29.32/29.76 inference(avatar_split_clause,[],[f250,f116,f75,f84])). 29.32/29.76 tff(f378,plain,( 29.32/29.76 spl6_8 | spl6_0 | ~spl6_6), 29.32/29.76 inference(avatar_split_clause,[],[f225,f116,f75,f91])). 29.32/29.76 tff(f379,plain,( 29.32/29.76 spl6_4 | spl6_0 | ~spl6_6), 29.32/29.76 inference(avatar_split_clause,[],[f224,f116,f75,f84])). 29.32/29.76 tff(f390,plain,( 29.32/29.76 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_6), 29.32/29.76 inference(resolution,[],[f117,f60])). 29.32/29.76 tff(f431,plain,( 29.32/29.76 ~$less(summation(sK2),summation($sum(c,summation(sK1)))) | ~spl6_41), 29.32/29.76 inference(resolution,[],[f209,f50])). 29.32/29.76 tff(f432,plain,( 29.32/29.76 max(sK2,$sum(c,summation(sK1))) = sK2 | ~spl6_41), 29.32/29.76 inference(resolution,[],[f209,f48])). 29.32/29.76 tff(f433,plain,( 29.32/29.76 max($sum(c,summation(sK1)),sK2) = sK2 | ~spl6_41), 29.32/29.76 inference(resolution,[],[f209,f47])). 29.32/29.76 tff(f435,plain,( 29.32/29.76 spl6_67 <=> ~$less(summation(sK2),summation($sum(c,summation(sK1))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_67])])). 29.32/29.76 tff(f436,plain,( 29.32/29.76 ~$less(summation(sK2),summation($sum(c,summation(sK1)))) | ~spl6_67), 29.32/29.76 inference(avatar_component_clause,[],[f435])). 29.32/29.76 tff(f437,plain,( 29.32/29.76 ~spl6_67 | spl6_41), 29.32/29.76 inference(avatar_split_clause,[],[f431,f208,f435])). 29.32/29.76 tff(f439,plain,( 29.32/29.76 spl6_68 <=> max(sK2,$sum(c,summation(sK1))) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_68])])). 29.32/29.76 tff(f440,plain,( 29.32/29.76 max(sK2,$sum(c,summation(sK1))) = sK2 | ~spl6_68), 29.32/29.76 inference(avatar_component_clause,[],[f439])). 29.32/29.76 tff(f441,plain,( 29.32/29.76 spl6_68 | spl6_41), 29.32/29.76 inference(avatar_split_clause,[],[f432,f208,f439])). 29.32/29.76 tff(f443,plain,( 29.32/29.76 spl6_70 <=> max($sum(c,summation(sK1)),sK2) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_70])])). 29.32/29.76 tff(f445,plain,( 29.32/29.76 spl6_70 | spl6_41), 29.32/29.76 inference(avatar_split_clause,[],[f433,f208,f443])). 29.32/29.76 tff(f453,plain,( 29.32/29.76 ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK0)) | ~spl6_49), 29.32/29.76 inference(resolution,[],[f268,f50])). 29.32/29.76 tff(f454,plain,( 29.32/29.76 max(sK5(sK0,sK1,sK2),sK0) = sK5(sK0,sK1,sK2) | ~spl6_49), 29.32/29.76 inference(resolution,[],[f268,f48])). 29.32/29.76 tff(f455,plain,( 29.32/29.76 max(sK0,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2) | ~spl6_49), 29.32/29.76 inference(resolution,[],[f268,f47])). 29.32/29.76 tff(f457,plain,( 29.32/29.76 spl6_73 <=> ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK0))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_73])])). 29.32/29.76 tff(f458,plain,( 29.32/29.76 ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK0)) | ~spl6_73), 29.32/29.76 inference(avatar_component_clause,[],[f457])). 29.32/29.76 tff(f459,plain,( 29.32/29.76 ~spl6_73 | spl6_49), 29.32/29.76 inference(avatar_split_clause,[],[f453,f267,f457])). 29.32/29.76 tff(f461,plain,( 29.32/29.76 spl6_74 <=> max(sK5(sK0,sK1,sK2),sK0) = sK5(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_74])])). 29.32/29.76 tff(f462,plain,( 29.32/29.76 max(sK5(sK0,sK1,sK2),sK0) = sK5(sK0,sK1,sK2) | ~spl6_74), 29.32/29.76 inference(avatar_component_clause,[],[f461])). 29.32/29.76 tff(f463,plain,( 29.32/29.76 spl6_74 | spl6_49), 29.32/29.76 inference(avatar_split_clause,[],[f454,f267,f461])). 29.32/29.76 tff(f465,plain,( 29.32/29.76 spl6_76 <=> max(sK0,sK5(sK0,sK1,sK2)) = sK5(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_76])])). 29.32/29.76 tff(f467,plain,( 29.32/29.76 spl6_76 | spl6_49), 29.32/29.76 inference(avatar_split_clause,[],[f455,f267,f465])). 29.32/29.76 tff(f468,plain,( 29.32/29.76 spl6_10 | spl6_17), 29.32/29.76 inference(avatar_split_clause,[],[f176,f130,f97])). 29.32/29.76 tff(f469,plain,( 29.32/29.76 spl6_12 | spl6_2 | ~spl6_10), 29.32/29.76 inference(avatar_split_clause,[],[f361,f97,f78,f106])). 29.32/29.76 tff(f470,plain,( 29.32/29.76 spl6_14 | spl6_2 | ~spl6_10), 29.32/29.76 inference(avatar_split_clause,[],[f362,f97,f78,f110])). 29.32/29.76 tff(f471,plain,( 29.32/29.76 spl6_14 | spl6_2 | ~spl6_10), 29.32/29.76 inference(avatar_split_clause,[],[f128,f97,f78,f110])). 29.32/29.76 tff(f472,plain,( 29.32/29.76 spl6_12 | spl6_2 | ~spl6_10), 29.32/29.76 inference(avatar_split_clause,[],[f127,f97,f78,f106])). 29.32/29.76 tff(f473,plain,( 29.32/29.76 ~spl6_1 | spl6_7), 29.32/29.76 inference(avatar_split_clause,[],[f358,f87,f68])). 29.32/29.76 tff(f474,plain,( 29.32/29.76 ~spl6_1 | spl6_7), 29.32/29.76 inference(avatar_split_clause,[],[f124,f87,f68])). 29.32/29.76 tff(f475,plain,( 29.32/29.76 ~model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_1), 29.32/29.76 inference(resolution,[],[f69,f60])). 29.32/29.76 tff(f476,plain,( 29.32/29.76 ~model_ub(sK0,sK1,sK2) | $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_1), 29.32/29.76 inference(resolution,[],[f69,f61])). 29.32/29.76 tff(f480,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,sK2) | ~spl6_7), 29.32/29.76 inference(resolution,[],[f88,f59])). 29.32/29.76 tff(f483,plain,( 29.32/29.76 minsol_model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_10), 29.32/29.76 inference(resolution,[],[f98,f56])). 29.32/29.76 tff(f484,plain,( 29.32/29.76 minsol_model_max(sK0,sK1,sK2) | $less(sK3(sK0,sK1,sK2),sK2) | ~spl6_10), 29.32/29.76 inference(resolution,[],[f98,f57])). 29.32/29.76 tff(f504,plain,( 29.32/29.76 ( ! [X0:$int] : ($less(sK2,$sum(c,summation(X0))) | $less(X0,sK0) | $less(X0,sK1)) ) | ~spl6_7), 29.32/29.76 inference(resolution,[],[f123,f53])). 29.32/29.76 tff(f507,plain,( 29.32/29.76 ( ! [X2:$int,X3:$int,X1:$int] : (~minsol_model_ub(X2,X3,$sum(c,summation(max(sK0,sK1)))) | ~model_ub(X2,X3,X1) | ~$less(X1,sK2)) ) | ~spl6_2), 29.32/29.76 inference(resolution,[],[f135,f58])). 29.32/29.76 tff(f508,plain,( 29.32/29.76 ( ! [X6:$int,X4:$int,X5:$int] : (~minsol_model_max(X5,X6,$sum(c,summation(max(sK0,sK1)))) | ~model_max(X5,X6,X4) | ~$less(X4,sK2)) ) | ~spl6_2), 29.32/29.76 inference(resolution,[],[f135,f55])). 29.32/29.76 tff(f509,plain,( 29.32/29.76 ( ! [X8:$int,X7:$int] : (~ub(X8,$sum(c,summation(max(sK0,sK1))),X7) | ~$less(X7,sK2)) ) | ~spl6_2), 29.32/29.76 inference(resolution,[],[f135,f51])). 29.32/29.76 tff(f510,plain,( 29.32/29.76 ( ! [X10:$int,X9:$int] : (~ub($sum(c,summation(max(sK0,sK1))),X10,X9) | ~$less(X9,sK2)) ) | ~spl6_2), 29.32/29.76 inference(resolution,[],[f135,f52])). 29.32/29.76 tff(f511,plain,( 29.32/29.76 ( ! [X11:$int] : ($less(summation(X11),summation($sum(c,summation(max(sK0,sK1))))) | ~$less(X11,sK2)) ) | ~spl6_2), 29.32/29.76 inference(resolution,[],[f135,f49])). 29.32/29.76 tff(f513,plain,( 29.32/29.76 ( ! [X0:$int] : ($less(X0,$sum(c,summation(sK0))) | ~$less(X0,sK2) | $less(sK0,sK1)) ) | ~spl6_2), 29.32/29.76 inference(superposition,[],[f135,f48])). 29.32/29.76 tff(f514,plain,( 29.32/29.76 ( ! [X1:$int] : ($less(X1,$sum(c,summation(sK1))) | ~$less(X1,sK2) | $less(sK1,sK0)) ) | ~spl6_2), 29.32/29.76 inference(superposition,[],[f135,f47])). 29.32/29.76 tff(f516,plain,( 29.32/29.76 spl6_78 <=> ! [X0 : $int] : ($less(X0,$sum(c,summation(sK0))) | ~$less(X0,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_78])])). 29.32/29.76 tff(f517,plain,( 29.32/29.76 ( ! [X0:$int] : ($less(X0,$sum(c,summation(sK0))) | ~$less(X0,sK2)) ) | ~spl6_78), 29.32/29.76 inference(avatar_component_clause,[],[f516])). 29.32/29.76 tff(f518,plain,( 29.32/29.76 spl6_34 | spl6_78 | ~spl6_2), 29.32/29.76 inference(avatar_split_clause,[],[f513,f78,f516,f198])). 29.32/29.76 tff(f531,plain,( 29.32/29.76 ~$less(summation(sK2),summation($sum(c,summation(sK0)))) | ~spl6_37), 29.32/29.76 inference(resolution,[],[f202,f50])). 29.32/29.76 tff(f532,plain,( 29.32/29.76 max(sK2,$sum(c,summation(sK0))) = sK2 | ~spl6_37), 29.32/29.76 inference(resolution,[],[f202,f48])). 29.32/29.76 tff(f533,plain,( 29.32/29.76 max($sum(c,summation(sK0)),sK2) = sK2 | ~spl6_37), 29.32/29.76 inference(resolution,[],[f202,f47])). 29.32/29.76 tff(f535,plain,( 29.32/29.76 spl6_81 <=> ~$less(summation(sK2),summation($sum(c,summation(sK0))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_81])])). 29.32/29.76 tff(f536,plain,( 29.32/29.76 ~$less(summation(sK2),summation($sum(c,summation(sK0)))) | ~spl6_81), 29.32/29.76 inference(avatar_component_clause,[],[f535])). 29.32/29.76 tff(f537,plain,( 29.32/29.76 ~spl6_81 | spl6_37), 29.32/29.76 inference(avatar_split_clause,[],[f531,f201,f535])). 29.32/29.76 tff(f539,plain,( 29.32/29.76 spl6_82 <=> max(sK2,$sum(c,summation(sK0))) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_82])])). 29.32/29.76 tff(f540,plain,( 29.32/29.76 max(sK2,$sum(c,summation(sK0))) = sK2 | ~spl6_82), 29.32/29.76 inference(avatar_component_clause,[],[f539])). 29.32/29.76 tff(f541,plain,( 29.32/29.76 spl6_82 | spl6_37), 29.32/29.76 inference(avatar_split_clause,[],[f532,f201,f539])). 29.32/29.76 tff(f543,plain,( 29.32/29.76 spl6_84 <=> max($sum(c,summation(sK0)),sK2) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_84])])). 29.32/29.76 tff(f545,plain,( 29.32/29.76 spl6_84 | spl6_37), 29.32/29.76 inference(avatar_split_clause,[],[f533,f201,f543])). 29.32/29.76 tff(f564,plain,( 29.32/29.76 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(max(sK0,sK1)))))) | ~spl6_29), 29.32/29.76 inference(resolution,[],[f187,f50])). 29.32/29.76 tff(f565,plain,( 29.32/29.76 summation(sK2) = max(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_29), 29.32/29.76 inference(resolution,[],[f187,f48])). 29.32/29.76 tff(f566,plain,( 29.32/29.76 summation(sK2) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2)) | ~spl6_29), 29.32/29.76 inference(resolution,[],[f187,f47])). 29.32/29.76 tff(f570,plain,( 29.32/29.76 spl6_87 <=> ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(max(sK0,sK1))))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_87])])). 29.32/29.76 tff(f572,plain,( 29.32/29.76 ~spl6_87 | spl6_29), 29.32/29.76 inference(avatar_split_clause,[],[f564,f186,f570])). 29.32/29.76 tff(f574,plain,( 29.32/29.76 spl6_88 <=> summation(sK2) = max(summation(sK2),summation($sum(c,summation(max(sK0,sK1)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_88])])). 29.32/29.76 tff(f576,plain,( 29.32/29.76 spl6_88 | spl6_29), 29.32/29.76 inference(avatar_split_clause,[],[f565,f186,f574])). 29.32/29.76 tff(f578,plain,( 29.32/29.76 spl6_90 <=> summation(sK2) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_90])])). 29.32/29.76 tff(f580,plain,( 29.32/29.76 spl6_90 | spl6_29), 29.32/29.76 inference(avatar_split_clause,[],[f566,f186,f578])). 29.32/29.76 tff(f583,plain,( 29.32/29.76 $sum(c,summation(max(sK0,sK1))) = sK2 | $less($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_30), 29.32/29.76 inference(superposition,[],[f191,f47])). 29.32/29.76 tff(f586,plain,( 29.32/29.76 $sum(c,summation(max(sK0,sK1))) = sK2 | $less($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_30), 29.32/29.76 inference(superposition,[],[f47,f191])). 29.32/29.76 tff(f588,plain,( 29.32/29.76 spl6_92 <=> $less($sum(c,summation(max(sK0,sK1))),sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_92])])). 29.32/29.76 tff(f589,plain,( 29.32/29.76 $less($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_92), 29.32/29.76 inference(avatar_component_clause,[],[f588])). 29.32/29.76 tff(f591,plain,( 29.32/29.76 spl6_94 <=> $sum(c,summation(max(sK0,sK1))) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_94])])). 29.32/29.76 tff(f593,plain,( 29.32/29.76 spl6_92 | spl6_94 | ~spl6_30), 29.32/29.76 inference(avatar_split_clause,[],[f583,f190,f591,f588])). 29.32/29.76 tff(f594,plain,( 29.32/29.76 spl6_92 | spl6_94 | ~spl6_30), 29.32/29.76 inference(avatar_split_clause,[],[f586,f190,f591,f588])). 29.32/29.76 tff(f608,plain,( 29.32/29.76 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK5(sK0,sK1,sK2)))))) | ~spl6_51), 29.32/29.76 inference(resolution,[],[f301,f50])). 29.32/29.76 tff(f609,plain,( 29.32/29.76 summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK5(sK0,sK1,sK2))))) | ~spl6_51), 29.32/29.76 inference(resolution,[],[f301,f48])). 29.32/29.76 tff(f610,plain,( 29.32/29.76 summation(sK2) = max(summation($sum(c,summation(sK5(sK0,sK1,sK2)))),summation(sK2)) | ~spl6_51), 29.32/29.76 inference(resolution,[],[f301,f47])). 29.32/29.76 tff(f612,plain,( 29.32/29.76 spl6_97 <=> ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK5(sK0,sK1,sK2))))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_97])])). 29.32/29.76 tff(f614,plain,( 29.32/29.76 ~spl6_97 | spl6_51), 29.32/29.76 inference(avatar_split_clause,[],[f608,f300,f612])). 29.32/29.76 tff(f616,plain,( 29.32/29.76 spl6_98 <=> summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK5(sK0,sK1,sK2)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_98])])). 29.32/29.76 tff(f618,plain,( 29.32/29.76 spl6_98 | spl6_51), 29.32/29.76 inference(avatar_split_clause,[],[f609,f300,f616])). 29.32/29.76 tff(f620,plain,( 29.32/29.76 spl6_100 <=> summation(sK2) = max(summation($sum(c,summation(sK5(sK0,sK1,sK2)))),summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_100])])). 29.32/29.76 tff(f622,plain,( 29.32/29.76 spl6_100 | spl6_51), 29.32/29.76 inference(avatar_split_clause,[],[f610,f300,f620])). 29.32/29.76 tff(f623,plain,( 29.32/29.76 $sum(c,summation(sK5(sK0,sK1,sK2))) = sK2 | $less($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) | ~spl6_52), 29.32/29.76 inference(superposition,[],[f305,f47])). 29.32/29.76 tff(f626,plain,( 29.32/29.76 $sum(c,summation(sK5(sK0,sK1,sK2))) = sK2 | $less($sum(c,summation(sK5(sK0,sK1,sK2))),sK2) | ~spl6_52), 29.32/29.76 inference(superposition,[],[f47,f305])). 29.32/29.76 tff(f628,plain,( 29.32/29.76 spl6_102 <=> $less($sum(c,summation(sK5(sK0,sK1,sK2))),sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_102])])). 29.32/29.76 tff(f631,plain,( 29.32/29.76 spl6_104 <=> $sum(c,summation(sK5(sK0,sK1,sK2))) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_104])])). 29.32/29.76 tff(f632,plain,( 29.32/29.76 $sum(c,summation(sK5(sK0,sK1,sK2))) = sK2 | ~spl6_104), 29.32/29.76 inference(avatar_component_clause,[],[f631])). 29.32/29.76 tff(f633,plain,( 29.32/29.76 spl6_102 | spl6_104 | ~spl6_52), 29.32/29.76 inference(avatar_split_clause,[],[f623,f304,f631,f628])). 29.32/29.76 tff(f634,plain,( 29.32/29.76 spl6_102 | spl6_104 | ~spl6_52), 29.32/29.76 inference(avatar_split_clause,[],[f626,f304,f631,f628])). 29.32/29.76 tff(f651,plain,( 29.32/29.76 $less(max(sK0,sK1),sK0) | $less(max(sK0,sK1),sK1) | (~spl6_7 | ~spl6_17)), 29.32/29.76 inference(resolution,[],[f504,f131])). 29.32/29.76 tff(f652,plain,( 29.32/29.76 $less(sK0,sK0) | $less(sK0,sK1) | (~spl6_7 | ~spl6_37)), 29.32/29.76 inference(resolution,[],[f504,f202])). 29.32/29.76 tff(f653,plain,( 29.32/29.76 $less(sK1,sK0) | $less(sK1,sK1) | (~spl6_7 | ~spl6_41)), 29.32/29.76 inference(resolution,[],[f504,f209])). 29.32/29.76 tff(f654,plain,( 29.32/29.76 $less(sK5(sK0,sK1,sK2),sK0) | $less(sK5(sK0,sK1,sK2),sK1) | (~spl6_7 | ~spl6_43)), 29.32/29.76 inference(resolution,[],[f504,f228])). 29.32/29.76 tff(f663,plain,( 29.32/29.76 spl6_106 <=> $less(max(sK0,sK1),sK1)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_106])])). 29.32/29.76 tff(f666,plain,( 29.32/29.76 spl6_108 <=> $less(max(sK0,sK1),sK0)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_108])])). 29.32/29.76 tff(f667,plain,( 29.32/29.76 $less(max(sK0,sK1),sK0) | ~spl6_108), 29.32/29.76 inference(avatar_component_clause,[],[f666])). 29.32/29.76 tff(f668,plain,( 29.32/29.76 spl6_106 | spl6_108 | spl6_7 | spl6_17), 29.32/29.76 inference(avatar_split_clause,[],[f651,f130,f87,f666,f663])). 29.32/29.76 tff(f670,plain,( 29.32/29.76 spl6_110 <=> $less(sK0,sK0)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_110])])). 29.32/29.76 tff(f672,plain,( 29.32/29.76 spl6_34 | spl6_110 | spl6_7 | spl6_37), 29.32/29.76 inference(avatar_split_clause,[],[f652,f201,f87,f670,f198])). 29.32/29.76 tff(f674,plain,( 29.32/29.76 spl6_46 <=> $less(sK5(sK0,sK1,sK2),sK1)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_46])])). 29.32/29.76 tff(f677,plain,( 29.32/29.76 spl6_48 <=> $less(sK5(sK0,sK1,sK2),sK0)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_48])])). 29.32/29.76 tff(f679,plain,( 29.32/29.76 spl6_46 | spl6_48 | spl6_7 | spl6_43), 29.32/29.76 inference(avatar_split_clause,[],[f654,f227,f87,f677,f674])). 29.32/29.76 tff(f680,plain,( 29.32/29.76 spl6_8 | ~spl6_7 | spl6_1), 29.32/29.76 inference(avatar_split_clause,[],[f476,f68,f87,f91])). 29.32/29.76 tff(f681,plain,( 29.32/29.76 spl6_4 | ~spl6_7 | spl6_1), 29.32/29.76 inference(avatar_split_clause,[],[f475,f68,f87,f84])). 29.32/29.76 tff(f682,plain,( 29.32/29.76 spl6_4 | ~spl6_7 | spl6_1), 29.32/29.76 inference(avatar_split_clause,[],[f81,f68,f87,f84])). 29.32/29.76 tff(f683,plain,( 29.32/29.76 spl6_8 | ~spl6_7 | spl6_1), 29.32/29.76 inference(avatar_split_clause,[],[f82,f68,f87,f91])). 29.32/29.76 tff(f684,plain,( 29.32/29.76 spl6_4 | ~spl6_7 | spl6_1), 29.32/29.76 inference(avatar_split_clause,[],[f119,f68,f87,f84])). 29.32/29.76 tff(f685,plain,( 29.32/29.76 spl6_8 | ~spl6_7 | spl6_1), 29.32/29.76 inference(avatar_split_clause,[],[f120,f68,f87,f91])). 29.32/29.76 tff(f686,plain,( 29.32/29.76 spl6_4 | ~spl6_7 | spl6_1), 29.32/29.76 inference(avatar_split_clause,[],[f353,f68,f87,f84])). 29.32/29.76 tff(f687,plain,( 29.32/29.76 spl6_8 | ~spl6_7 | spl6_1), 29.32/29.76 inference(avatar_split_clause,[],[f354,f68,f87,f91])). 29.32/29.76 tff(f688,plain,( 29.32/29.76 ( ! [X0:$int] : (model_ub(sK0,sK1,X0) | $less(X0,sK2)) ) | (~spl6_44 | ~spl6_104)), 29.32/29.76 inference(forward_demodulation,[],[f259,f632])). 29.32/29.76 tff(f689,plain,( 29.32/29.76 spl6_4 | spl6_0 | ~spl6_6), 29.32/29.76 inference(avatar_split_clause,[],[f390,f116,f75,f84])). 29.32/29.76 tff(f690,plain,( 29.32/29.76 spl6_4 | spl6_0 | ~spl6_6), 29.32/29.76 inference(avatar_split_clause,[],[f250,f116,f75,f84])). 29.32/29.76 tff(f691,plain,( 29.32/29.76 spl6_4 | spl6_0 | ~spl6_6), 29.32/29.76 inference(avatar_split_clause,[],[f224,f116,f75,f84])). 29.32/29.76 tff(f695,plain,( 29.32/29.76 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_6), 29.32/29.76 inference(resolution,[],[f117,f60])). 29.32/29.76 tff(f697,plain,( 29.32/29.76 $less(sK1,sK0) | ~spl6_56), 29.32/29.76 inference(resolution,[],[f318,f50])). 29.32/29.76 tff(f702,plain,( 29.32/29.76 $less(summation(summation(sK1)),summation(summation(sK0))) | ~spl6_56), 29.32/29.76 inference(resolution,[],[f318,f49])). 29.32/29.76 tff(f704,plain,( 29.32/29.76 spl6_112 <=> $less(summation(summation(sK1)),summation(summation(sK0)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_112])])). 29.32/29.76 tff(f706,plain,( 29.32/29.76 spl6_112 | ~spl6_56), 29.32/29.76 inference(avatar_split_clause,[],[f702,f317,f704])). 29.32/29.76 tff(f708,plain,( 29.32/29.76 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,sK4(sK0,sK1,sK2)) | ~minsol_model_max(X2,X3,sK2)) ) | ~spl6_8), 29.32/29.76 inference(resolution,[],[f92,f55])). 29.32/29.76 tff(f711,plain,( 29.32/29.76 $less(summation(sK4(sK0,sK1,sK2)),summation(sK2)) | ~spl6_8), 29.32/29.76 inference(resolution,[],[f92,f49])). 29.32/29.76 tff(f713,plain,( 29.32/29.76 spl6_114 <=> $less(summation(sK4(sK0,sK1,sK2)),summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_114])])). 29.32/29.76 tff(f714,plain,( 29.32/29.76 $less(summation(sK4(sK0,sK1,sK2)),summation(sK2)) | ~spl6_114), 29.32/29.76 inference(avatar_component_clause,[],[f713])). 29.32/29.76 tff(f715,plain,( 29.32/29.76 spl6_114 | ~spl6_8), 29.32/29.76 inference(avatar_split_clause,[],[f711,f91,f713])). 29.32/29.76 tff(f716,plain,( 29.32/29.76 ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))) | ~spl6_4), 29.32/29.76 inference(resolution,[],[f85,f65])). 29.32/29.76 tff(f717,plain,( 29.32/29.76 ub(sK0,sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK2))) | ~spl6_4), 29.32/29.76 inference(resolution,[],[f85,f66])). 29.32/29.76 tff(f718,plain,( 29.32/29.76 ( ! [X0:$int] : (~$less(sK4(sK0,sK1,sK2),X0) | ~minsol_model_ub(sK0,sK1,X0)) ) | ~spl6_4), 29.32/29.76 inference(resolution,[],[f85,f58])). 29.32/29.76 tff(f719,plain,( 29.32/29.76 minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | model_ub(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | ~spl6_4), 29.32/29.76 inference(resolution,[],[f85,f60])). 29.32/29.76 tff(f720,plain,( 29.32/29.76 minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | $less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK4(sK0,sK1,sK2)) | ~spl6_4), 29.32/29.76 inference(resolution,[],[f85,f61])). 29.32/29.76 tff(f722,plain,( 29.32/29.76 spl6_117 <=> ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_117])])). 29.32/29.76 tff(f723,plain,( 29.32/29.76 ~$less(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))) | ~spl6_117), 29.32/29.76 inference(avatar_component_clause,[],[f722])). 29.32/29.76 tff(f724,plain,( 29.32/29.76 ~spl6_117 | ~spl6_4), 29.32/29.76 inference(avatar_split_clause,[],[f716,f84,f722])). 29.32/29.76 tff(f726,plain,( 29.32/29.76 spl6_118 <=> ub(sK0,sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_118])])). 29.32/29.76 tff(f727,plain,( 29.32/29.76 ub(sK0,sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK2))) | ~spl6_118), 29.32/29.76 inference(avatar_component_clause,[],[f726])). 29.32/29.76 tff(f728,plain,( 29.32/29.76 spl6_118 | ~spl6_4), 29.32/29.76 inference(avatar_split_clause,[],[f717,f84,f726])). 29.32/29.76 tff(f730,plain,( 29.32/29.76 spl6_120 <=> model_ub(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_120])])). 29.32/29.76 tff(f731,plain,( 29.32/29.76 model_ub(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | ~spl6_120), 29.32/29.76 inference(avatar_component_clause,[],[f730])). 29.32/29.76 tff(f733,plain,( 29.32/29.76 spl6_122 <=> minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_122])])). 29.32/29.76 tff(f734,plain,( 29.32/29.76 minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_122), 29.32/29.76 inference(avatar_component_clause,[],[f733])). 29.32/29.76 tff(f735,plain,( 29.32/29.76 spl6_120 | spl6_122 | ~spl6_4), 29.32/29.76 inference(avatar_split_clause,[],[f719,f84,f733,f730])). 29.32/29.76 tff(f737,plain,( 29.32/29.76 spl6_124 <=> $less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_124])])). 29.32/29.76 tff(f738,plain,( 29.32/29.76 $less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK4(sK0,sK1,sK2)) | ~spl6_124), 29.32/29.76 inference(avatar_component_clause,[],[f737])). 29.32/29.76 tff(f739,plain,( 29.32/29.76 spl6_124 | spl6_122 | ~spl6_4), 29.32/29.76 inference(avatar_split_clause,[],[f720,f84,f733,f737])). 29.32/29.76 tff(f742,plain,( 29.32/29.76 model_ub(sK0,sK1,sK2) | (~spl6_43 | ~spl6_44)), 29.32/29.76 inference(resolution,[],[f232,f293])). 29.32/29.76 tff(f743,plain,( 29.32/29.76 ( ! [X0:$int] : (model_ub(sK0,sK1,X0) | $less(X0,$sum(c,summation(sK5(sK0,sK1,sK2))))) ) | ~spl6_44), 29.32/29.76 inference(resolution,[],[f232,f64])). 29.32/29.76 tff(f751,plain,( 29.32/29.76 ~$less(sK2,sK4(sK0,sK1,sK2)) | (~spl6_6 | ~spl6_122)), 29.32/29.76 inference(resolution,[],[f734,f223])). 29.32/29.76 tff(f753,plain,( 29.32/29.76 model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_122), 29.32/29.76 inference(resolution,[],[f734,f59])). 29.32/29.76 tff(f755,plain,( 29.32/29.76 spl6_127 <=> ~$less(sK2,sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_127])])). 29.32/29.76 tff(f756,plain,( 29.32/29.76 ~$less(sK2,sK4(sK0,sK1,sK2)) | ~spl6_127), 29.32/29.76 inference(avatar_component_clause,[],[f755])). 29.32/29.76 tff(f757,plain,( 29.32/29.76 ~spl6_127 | ~spl6_6 | ~spl6_122), 29.32/29.76 inference(avatar_split_clause,[],[f751,f733,f116,f755])). 29.32/29.76 tff(f759,plain,( 29.32/29.76 ( ! [X0:$int,X1:$int] : (~model_ub(X0,X1,summation(sK4(sK0,sK1,sK2))) | ~minsol_model_ub(X0,X1,summation(sK2))) ) | ~spl6_114), 29.32/29.76 inference(resolution,[],[f714,f58])). 29.32/29.76 tff(f760,plain,( 29.32/29.76 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,summation(sK4(sK0,sK1,sK2))) | ~minsol_model_max(X2,X3,summation(sK2))) ) | ~spl6_114), 29.32/29.76 inference(resolution,[],[f714,f55])). 29.32/29.76 tff(f763,plain,( 29.32/29.76 $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_114), 29.32/29.76 inference(resolution,[],[f714,f49])). 29.32/29.76 tff(f765,plain,( 29.32/29.76 spl6_128 <=> $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_128])])). 29.32/29.76 tff(f766,plain,( 29.32/29.76 $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_128), 29.32/29.76 inference(avatar_component_clause,[],[f765])). 29.32/29.76 tff(f767,plain,( 29.32/29.76 spl6_128 | ~spl6_114), 29.32/29.76 inference(avatar_split_clause,[],[f763,f713,f765])). 29.32/29.76 tff(f770,plain,( 29.32/29.76 ~$less(summation(sK2),summation(sK4(sK0,sK1,sK2))) | ~spl6_127), 29.32/29.76 inference(resolution,[],[f756,f50])). 29.32/29.76 tff(f771,plain,( 29.32/29.76 max(sK2,sK4(sK0,sK1,sK2)) = sK2 | ~spl6_127), 29.32/29.76 inference(resolution,[],[f756,f48])). 29.32/29.76 tff(f772,plain,( 29.32/29.76 max(sK4(sK0,sK1,sK2),sK2) = sK2 | ~spl6_127), 29.32/29.76 inference(resolution,[],[f756,f47])). 29.32/29.76 tff(f774,plain,( 29.32/29.76 spl6_131 <=> ~$less(summation(sK2),summation(sK4(sK0,sK1,sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_131])])). 29.32/29.76 tff(f775,plain,( 29.32/29.76 ~$less(summation(sK2),summation(sK4(sK0,sK1,sK2))) | ~spl6_131), 29.32/29.76 inference(avatar_component_clause,[],[f774])). 29.32/29.76 tff(f776,plain,( 29.32/29.76 ~spl6_131 | spl6_127), 29.32/29.76 inference(avatar_split_clause,[],[f770,f755,f774])). 29.32/29.76 tff(f778,plain,( 29.32/29.76 spl6_132 <=> max(sK2,sK4(sK0,sK1,sK2)) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_132])])). 29.32/29.76 tff(f780,plain,( 29.32/29.76 spl6_132 | spl6_127), 29.32/29.76 inference(avatar_split_clause,[],[f771,f755,f778])). 29.32/29.76 tff(f782,plain,( 29.32/29.76 spl6_134 <=> max(sK4(sK0,sK1,sK2),sK2) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_134])])). 29.32/29.76 tff(f784,plain,( 29.32/29.76 spl6_134 | spl6_127), 29.32/29.76 inference(avatar_split_clause,[],[f772,f755,f782])). 29.32/29.76 tff(f790,plain,( 29.32/29.76 ( ! [X5:$int] : (~minsol_model_ub(sK0,sK1,X5) | max(sK4(sK0,sK1,sK2),X5) = sK4(sK0,sK1,sK2)) ) | ~spl6_4), 29.32/29.76 inference(resolution,[],[f718,f48])). 29.32/29.76 tff(f791,plain,( 29.32/29.76 ( ! [X6:$int] : (~minsol_model_ub(sK0,sK1,X6) | max(X6,sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2)) ) | ~spl6_4), 29.32/29.76 inference(resolution,[],[f718,f47])). 29.32/29.76 tff(f792,plain,( 29.32/29.76 ( ! [X8:$int,X7:$int] : (~minsol_model_ub(sK0,sK1,$sum(c,summation(max(X7,X8)))) | model_max(X7,X8,sK4(sK0,sK1,sK2))) ) | ~spl6_4), 29.32/29.76 inference(resolution,[],[f718,f62])). 29.32/29.76 tff(f793,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1)))) | ~$less(sK4(sK0,sK1,sK2),sK2) | (~spl6_2 | ~spl6_4)), 29.32/29.76 inference(resolution,[],[f718,f135])). 29.32/29.76 tff(f795,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK0))) | ~$less(sK4(sK0,sK1,sK2),sK2) | (~spl6_4 | ~spl6_78)), 29.32/29.76 inference(resolution,[],[f718,f517])). 29.32/29.76 tff(f797,plain,( 29.32/29.76 spl6_9 <=> ~$less(sK4(sK0,sK1,sK2),sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_9])])). 29.32/29.76 tff(f800,plain,( 29.32/29.76 spl6_137 <=> ~minsol_model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_137])])). 29.32/29.76 tff(f801,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1)))) | ~spl6_137), 29.32/29.76 inference(avatar_component_clause,[],[f800])). 29.32/29.76 tff(f802,plain,( 29.32/29.76 ~spl6_9 | ~spl6_137 | ~spl6_2 | ~spl6_4), 29.32/29.76 inference(avatar_split_clause,[],[f793,f84,f78,f800,f797])). 29.32/29.76 tff(f804,plain,( 29.32/29.76 spl6_139 <=> ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK0)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_139])])). 29.32/29.76 tff(f805,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK0))) | ~spl6_139), 29.32/29.76 inference(avatar_component_clause,[],[f804])). 29.32/29.76 tff(f806,plain,( 29.32/29.76 ~spl6_9 | ~spl6_139 | ~spl6_4 | ~spl6_78), 29.32/29.76 inference(avatar_split_clause,[],[f795,f516,f84,f804,f797])). 29.32/29.76 tff(f807,plain,( 29.32/29.76 ( ! [X0:$int] : (model_ub(sK0,sK1,X0) | $less(X0,$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))))) ) | ~spl6_118), 29.32/29.76 inference(resolution,[],[f727,f64])). 29.32/29.76 tff(f808,plain,( 29.32/29.76 ~$less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK1) | ~spl6_118), 29.32/29.76 inference(resolution,[],[f727,f51])). 29.32/29.76 tff(f809,plain,( 29.32/29.76 ~$less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK0) | ~spl6_118), 29.32/29.76 inference(resolution,[],[f727,f52])). 29.32/29.76 tff(f811,plain,( 29.32/29.76 spl6_141 <=> ~$less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK1)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_141])])). 29.32/29.76 tff(f812,plain,( 29.32/29.76 ~$less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK1) | ~spl6_141), 29.32/29.76 inference(avatar_component_clause,[],[f811])). 29.32/29.76 tff(f813,plain,( 29.32/29.76 ~spl6_141 | ~spl6_118), 29.32/29.76 inference(avatar_split_clause,[],[f808,f726,f811])). 29.32/29.76 tff(f815,plain,( 29.32/29.76 spl6_143 <=> ~$less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK0)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_143])])). 29.32/29.76 tff(f816,plain,( 29.32/29.76 ~$less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK0) | ~spl6_143), 29.32/29.76 inference(avatar_component_clause,[],[f815])). 29.32/29.76 tff(f817,plain,( 29.32/29.76 ~spl6_143 | ~spl6_118), 29.32/29.76 inference(avatar_split_clause,[],[f809,f726,f815])). 29.32/29.76 tff(f822,plain,( 29.32/29.76 ( ! [X0:$int,X1:$int] : (~minsol_model_max(X0,X1,sK2) | $less(sK4(sK0,sK1,sK2),$sum(c,summation(max(X0,X1))))) ) | ~spl6_8), 29.32/29.76 inference(resolution,[],[f708,f62])). 29.32/29.76 tff(f825,plain,( 29.32/29.76 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | ~minsol_model_max(X2,X3,sK4(sK0,sK1,sK2))) ) | ~spl6_124), 29.32/29.76 inference(resolution,[],[f738,f55])). 29.32/29.76 tff(f828,plain,( 29.32/29.76 $less(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK4(sK0,sK1,sK2))) | ~spl6_124), 29.32/29.76 inference(resolution,[],[f738,f49])). 29.32/29.76 tff(f830,plain,( 29.32/29.76 spl6_144 <=> $less(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK4(sK0,sK1,sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_144])])). 29.32/29.76 tff(f831,plain,( 29.32/29.76 $less(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK4(sK0,sK1,sK2))) | ~spl6_144), 29.32/29.76 inference(avatar_component_clause,[],[f830])). 29.32/29.76 tff(f832,plain,( 29.32/29.76 spl6_144 | ~spl6_124), 29.32/29.76 inference(avatar_split_clause,[],[f828,f737,f830])). 29.32/29.76 tff(f836,plain,( 29.32/29.76 ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))))) | ~spl6_117), 29.32/29.76 inference(resolution,[],[f723,f50])). 29.32/29.76 tff(f837,plain,( 29.32/29.76 max(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))) = sK4(sK0,sK1,sK2) | ~spl6_117), 29.32/29.76 inference(resolution,[],[f723,f48])). 29.32/29.76 tff(f838,plain,( 29.32/29.76 max($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2) | ~spl6_117), 29.32/29.76 inference(resolution,[],[f723,f47])). 29.32/29.76 tff(f840,plain,( 29.32/29.76 spl6_147 <=> ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_147])])). 29.32/29.76 tff(f841,plain,( 29.32/29.76 ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))))) | ~spl6_147), 29.32/29.76 inference(avatar_component_clause,[],[f840])). 29.32/29.76 tff(f842,plain,( 29.32/29.76 ~spl6_147 | spl6_117), 29.32/29.76 inference(avatar_split_clause,[],[f836,f722,f840])). 29.32/29.76 tff(f844,plain,( 29.32/29.76 spl6_148 <=> max(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))) = sK4(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_148])])). 29.32/29.76 tff(f845,plain,( 29.32/29.76 max(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))) = sK4(sK0,sK1,sK2) | ~spl6_148), 29.32/29.76 inference(avatar_component_clause,[],[f844])). 29.32/29.76 tff(f846,plain,( 29.32/29.76 spl6_148 | spl6_117), 29.32/29.76 inference(avatar_split_clause,[],[f837,f722,f844])). 29.32/29.76 tff(f848,plain,( 29.32/29.76 spl6_150 <=> max($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_150])])). 29.32/29.76 tff(f850,plain,( 29.32/29.76 spl6_150 | spl6_117), 29.32/29.76 inference(avatar_split_clause,[],[f838,f722,f848])). 29.32/29.76 tff(f863,plain,( 29.32/29.76 ~model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1)))) | model_ub(sK0,sK1,sK4(sK0,sK1,$sum(c,summation(max(sK0,sK1))))) | ~spl6_137), 29.32/29.76 inference(resolution,[],[f801,f60])). 29.32/29.76 tff(f864,plain,( 29.32/29.76 ~model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1)))) | $less(sK4(sK0,sK1,$sum(c,summation(max(sK0,sK1)))),$sum(c,summation(max(sK0,sK1)))) | ~spl6_137), 29.32/29.76 inference(resolution,[],[f801,f61])). 29.32/29.76 tff(f866,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_137), 29.32/29.76 inference(superposition,[],[f801,f47])). 29.32/29.76 tff(f868,plain,( 29.32/29.76 spl6_152 <=> model_ub(sK0,sK1,sK4(sK0,sK1,$sum(c,summation(max(sK0,sK1)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_152])])). 29.32/29.76 tff(f871,plain,( 29.32/29.76 spl6_155 <=> ~model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_155])])). 29.32/29.76 tff(f872,plain,( 29.32/29.76 ~model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1)))) | ~spl6_155), 29.32/29.76 inference(avatar_component_clause,[],[f871])). 29.32/29.76 tff(f873,plain,( 29.32/29.76 spl6_152 | ~spl6_155 | spl6_137), 29.32/29.76 inference(avatar_split_clause,[],[f863,f800,f871,f868])). 29.32/29.76 tff(f875,plain,( 29.32/29.76 spl6_156 <=> $less(sK4(sK0,sK1,$sum(c,summation(max(sK0,sK1)))),$sum(c,summation(max(sK0,sK1))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_156])])). 29.32/29.76 tff(f877,plain,( 29.32/29.76 spl6_156 | ~spl6_155 | spl6_137), 29.32/29.76 inference(avatar_split_clause,[],[f864,f800,f871,f875])). 29.32/29.76 tff(f880,plain,( 29.32/29.76 ~$less(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK1)) | ~spl6_141), 29.32/29.76 inference(resolution,[],[f812,f50])). 29.32/29.76 tff(f881,plain,( 29.32/29.76 max(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK1) = sK5(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_141), 29.32/29.76 inference(resolution,[],[f812,f48])). 29.32/29.76 tff(f882,plain,( 29.32/29.76 max(sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = sK5(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_141), 29.32/29.76 inference(resolution,[],[f812,f47])). 29.32/29.76 tff(f884,plain,( 29.32/29.76 spl6_159 <=> ~$less(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK1))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_159])])). 29.32/29.76 tff(f885,plain,( 29.32/29.76 ~$less(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK1)) | ~spl6_159), 29.32/29.76 inference(avatar_component_clause,[],[f884])). 29.32/29.76 tff(f886,plain,( 29.32/29.76 ~spl6_159 | spl6_141), 29.32/29.76 inference(avatar_split_clause,[],[f880,f811,f884])). 29.32/29.76 tff(f888,plain,( 29.32/29.76 spl6_160 <=> max(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK1) = sK5(sK0,sK1,sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_160])])). 29.32/29.76 tff(f890,plain,( 29.32/29.76 spl6_160 | spl6_141), 29.32/29.76 inference(avatar_split_clause,[],[f881,f811,f888])). 29.32/29.76 tff(f892,plain,( 29.32/29.76 spl6_162 <=> max(sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = sK5(sK0,sK1,sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_162])])). 29.32/29.76 tff(f894,plain,( 29.32/29.76 spl6_162 | spl6_141), 29.32/29.76 inference(avatar_split_clause,[],[f882,f811,f892])). 29.32/29.76 tff(f897,plain,( 29.32/29.76 ~$less(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK0)) | ~spl6_143), 29.32/29.76 inference(resolution,[],[f816,f50])). 29.32/29.76 tff(f898,plain,( 29.32/29.76 max(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK0) = sK5(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_143), 29.32/29.76 inference(resolution,[],[f816,f48])). 29.32/29.76 tff(f899,plain,( 29.32/29.76 max(sK0,sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = sK5(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_143), 29.32/29.76 inference(resolution,[],[f816,f47])). 29.32/29.76 tff(f901,plain,( 29.32/29.76 spl6_165 <=> ~$less(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK0))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_165])])). 29.32/29.76 tff(f902,plain,( 29.32/29.76 ~$less(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK0)) | ~spl6_165), 29.32/29.76 inference(avatar_component_clause,[],[f901])). 29.32/29.76 tff(f903,plain,( 29.32/29.76 ~spl6_165 | spl6_143), 29.32/29.76 inference(avatar_split_clause,[],[f897,f815,f901])). 29.32/29.76 tff(f905,plain,( 29.32/29.76 spl6_166 <=> max(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK0) = sK5(sK0,sK1,sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_166])])). 29.32/29.76 tff(f907,plain,( 29.32/29.76 spl6_166 | spl6_143), 29.32/29.76 inference(avatar_split_clause,[],[f898,f815,f905])). 29.32/29.76 tff(f909,plain,( 29.32/29.76 spl6_168 <=> max(sK0,sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = sK5(sK0,sK1,sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_168])])). 29.32/29.76 tff(f911,plain,( 29.32/29.76 spl6_168 | spl6_143), 29.32/29.76 inference(avatar_split_clause,[],[f899,f815,f909])). 29.32/29.76 tff(f914,plain,( 29.32/29.76 spl6_14 | spl6_2 | ~spl6_10), 29.32/29.76 inference(avatar_split_clause,[],[f484,f97,f78,f110])). 29.32/29.76 tff(f915,plain,( 29.32/29.76 spl6_12 | spl6_2 | ~spl6_10), 29.32/29.76 inference(avatar_split_clause,[],[f483,f97,f78,f106])). 29.32/29.76 tff(f916,plain,( 29.32/29.76 spl6_4 | ~spl6_122), 29.32/29.76 inference(avatar_split_clause,[],[f753,f733,f84])). 29.32/29.76 tff(f917,plain,( 29.32/29.76 spl6_4 | spl6_0 | ~spl6_6), 29.32/29.76 inference(avatar_split_clause,[],[f695,f116,f75,f84])). 29.32/29.76 tff(f928,plain,( 29.32/29.76 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,sK3(sK0,sK1,sK2)) | ~minsol_model_max(X2,X3,sK2)) ) | ~spl6_14), 29.32/29.76 inference(resolution,[],[f111,f55])). 29.32/29.76 tff(f931,plain,( 29.32/29.76 $less(summation(sK3(sK0,sK1,sK2)),summation(sK2)) | ~spl6_14), 29.32/29.76 inference(resolution,[],[f111,f49])). 29.32/29.76 tff(f933,plain,( 29.32/29.76 spl6_170 <=> $less(summation(sK3(sK0,sK1,sK2)),summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_170])])). 29.32/29.76 tff(f934,plain,( 29.32/29.76 $less(summation(sK3(sK0,sK1,sK2)),summation(sK2)) | ~spl6_170), 29.32/29.76 inference(avatar_component_clause,[],[f933])). 29.32/29.76 tff(f935,plain,( 29.32/29.76 spl6_170 | ~spl6_14), 29.32/29.76 inference(avatar_split_clause,[],[f931,f110,f933])). 29.32/29.76 tff(f936,plain,( 29.32/29.76 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | ~spl6_12), 29.32/29.76 inference(resolution,[],[f107,f63])). 29.32/29.76 tff(f937,plain,( 29.32/29.76 ( ! [X0:$int] : (~$less(sK3(sK0,sK1,sK2),X0) | ~minsol_model_max(sK0,sK1,X0)) ) | ~spl6_12), 29.32/29.76 inference(resolution,[],[f107,f55])). 29.32/29.76 tff(f938,plain,( 29.32/29.76 minsol_model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | model_max(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_12), 29.32/29.76 inference(resolution,[],[f107,f56])). 29.32/29.76 tff(f939,plain,( 29.32/29.76 minsol_model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK2)) | ~spl6_12), 29.32/29.76 inference(resolution,[],[f107,f57])). 29.32/29.76 tff(f941,plain,( 29.32/29.76 spl6_173 <=> ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_173])])). 29.32/29.76 tff(f942,plain,( 29.32/29.76 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | ~spl6_173), 29.32/29.76 inference(avatar_component_clause,[],[f941])). 29.32/29.76 tff(f943,plain,( 29.32/29.76 ~spl6_173 | ~spl6_12), 29.32/29.76 inference(avatar_split_clause,[],[f936,f106,f941])). 29.32/29.76 tff(f945,plain,( 29.32/29.76 spl6_174 <=> model_max(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_174])])). 29.32/29.76 tff(f948,plain,( 29.32/29.76 spl6_176 <=> minsol_model_max(sK0,sK1,sK3(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_176])])). 29.32/29.76 tff(f949,plain,( 29.32/29.76 minsol_model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_176), 29.32/29.76 inference(avatar_component_clause,[],[f948])). 29.32/29.76 tff(f950,plain,( 29.32/29.76 spl6_174 | spl6_176 | ~spl6_12), 29.32/29.76 inference(avatar_split_clause,[],[f938,f106,f948,f945])). 29.32/29.76 tff(f952,plain,( 29.32/29.76 spl6_178 <=> $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_178])])). 29.32/29.76 tff(f954,plain,( 29.32/29.76 spl6_178 | spl6_176 | ~spl6_12), 29.32/29.76 inference(avatar_split_clause,[],[f939,f106,f948,f952])). 29.32/29.76 tff(f959,plain,( 29.32/29.76 $less(summation(max(sK0,sK1)),summation(sK0)) | ~spl6_108), 29.32/29.76 inference(resolution,[],[f667,f49])). 29.32/29.76 tff(f960,plain,( 29.32/29.76 $less(sK0,sK0) | $less(sK0,sK1) | ~spl6_108), 29.32/29.76 inference(superposition,[],[f667,f48])). 29.32/29.76 tff(f964,plain,( 29.32/29.76 spl6_180 <=> $less(summation(max(sK0,sK1)),summation(sK0))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_180])])). 29.32/29.76 tff(f966,plain,( 29.32/29.76 spl6_180 | ~spl6_108), 29.32/29.76 inference(avatar_split_clause,[],[f959,f666,f964])). 29.32/29.76 tff(f967,plain,( 29.32/29.76 spl6_34 | spl6_110 | ~spl6_108), 29.32/29.76 inference(avatar_split_clause,[],[f960,f666,f670,f198])). 29.32/29.76 tff(f980,plain,( 29.32/29.76 ~$less(sK2,sK3(sK0,sK1,sK2)) | (~spl6_10 | ~spl6_176)), 29.32/29.76 inference(resolution,[],[f949,f126])). 29.32/29.76 tff(f984,plain,( 29.32/29.76 spl6_183 <=> ~$less(sK2,sK3(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_183])])). 29.32/29.76 tff(f985,plain,( 29.32/29.76 ~$less(sK2,sK3(sK0,sK1,sK2)) | ~spl6_183), 29.32/29.76 inference(avatar_component_clause,[],[f984])). 29.32/29.76 tff(f986,plain,( 29.32/29.76 ~spl6_183 | ~spl6_10 | ~spl6_176), 29.32/29.76 inference(avatar_split_clause,[],[f980,f948,f97,f984])). 29.32/29.76 tff(f987,plain,( 29.32/29.76 $less(sK3(sK0,sK1,sK2),sK2) | ~spl6_170), 29.32/29.76 inference(resolution,[],[f934,f50])). 29.32/29.76 tff(f988,plain,( 29.32/29.76 ( ! [X0:$int,X1:$int] : (~model_ub(X0,X1,summation(sK3(sK0,sK1,sK2))) | ~minsol_model_ub(X0,X1,summation(sK2))) ) | ~spl6_170), 29.32/29.76 inference(resolution,[],[f934,f58])). 29.32/29.76 tff(f989,plain,( 29.32/29.76 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,summation(sK3(sK0,sK1,sK2))) | ~minsol_model_max(X2,X3,summation(sK2))) ) | ~spl6_170), 29.32/29.76 inference(resolution,[],[f934,f55])). 29.32/29.76 tff(f992,plain,( 29.32/29.76 $less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_170), 29.32/29.76 inference(resolution,[],[f934,f49])). 29.32/29.76 tff(f994,plain,( 29.32/29.76 spl6_184 <=> $less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_184])])). 29.32/29.76 tff(f995,plain,( 29.32/29.76 $less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_184), 29.32/29.76 inference(avatar_component_clause,[],[f994])). 29.32/29.76 tff(f996,plain,( 29.32/29.76 spl6_184 | ~spl6_170), 29.32/29.76 inference(avatar_split_clause,[],[f992,f933,f994])). 29.32/29.76 tff(f1011,plain,( 29.32/29.76 ~$less(summation(sK2),summation(sK3(sK0,sK1,sK2))) | ~spl6_183), 29.32/29.76 inference(resolution,[],[f985,f50])). 29.32/29.76 tff(f1012,plain,( 29.32/29.76 max(sK2,sK3(sK0,sK1,sK2)) = sK2 | ~spl6_183), 29.32/29.76 inference(resolution,[],[f985,f48])). 29.32/29.76 tff(f1013,plain,( 29.32/29.76 max(sK3(sK0,sK1,sK2),sK2) = sK2 | ~spl6_183), 29.32/29.76 inference(resolution,[],[f985,f47])). 29.32/29.76 tff(f1015,plain,( 29.32/29.76 spl6_187 <=> ~$less(summation(sK2),summation(sK3(sK0,sK1,sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_187])])). 29.32/29.76 tff(f1016,plain,( 29.32/29.76 ~$less(summation(sK2),summation(sK3(sK0,sK1,sK2))) | ~spl6_187), 29.32/29.76 inference(avatar_component_clause,[],[f1015])). 29.32/29.76 tff(f1017,plain,( 29.32/29.76 ~spl6_187 | spl6_183), 29.32/29.76 inference(avatar_split_clause,[],[f1011,f984,f1015])). 29.32/29.76 tff(f1019,plain,( 29.32/29.76 spl6_188 <=> max(sK2,sK3(sK0,sK1,sK2)) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_188])])). 29.32/29.76 tff(f1021,plain,( 29.32/29.76 spl6_188 | spl6_183), 29.32/29.76 inference(avatar_split_clause,[],[f1012,f984,f1019])). 29.32/29.76 tff(f1023,plain,( 29.32/29.76 spl6_190 <=> max(sK3(sK0,sK1,sK2),sK2) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_190])])). 29.32/29.76 tff(f1025,plain,( 29.32/29.76 spl6_190 | spl6_183), 29.32/29.76 inference(avatar_split_clause,[],[f1013,f984,f1023])). 29.32/29.76 tff(f1027,plain,( 29.32/29.76 ( ! [X0:$int,X1:$int] : (~minsol_model_max(X0,X1,sK2) | $less(sK3(sK0,sK1,sK2),$sum(c,summation(max(X0,X1))))) ) | ~spl6_14), 29.32/29.76 inference(resolution,[],[f928,f62])). 29.32/29.76 tff(f1030,plain,( 29.32/29.76 model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_173), 29.32/29.76 inference(resolution,[],[f942,f62])). 29.32/29.76 tff(f1031,plain,( 29.32/29.76 ( ! [X0:$int,X1:$int] : (model_ub(X0,X1,sK3(sK0,sK1,sK2)) | ~ub(X0,X1,max(sK0,sK1))) ) | ~spl6_173), 29.32/29.76 inference(resolution,[],[f942,f64])). 29.32/29.76 tff(f1034,plain,( 29.32/29.76 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_173), 29.32/29.76 inference(resolution,[],[f942,f50])). 29.32/29.76 tff(f1035,plain,( 29.32/29.76 max(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) = sK3(sK0,sK1,sK2) | ~spl6_173), 29.32/29.76 inference(resolution,[],[f942,f48])). 29.32/29.76 tff(f1036,plain,( 29.32/29.76 max($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_173), 29.32/29.76 inference(resolution,[],[f942,f47])). 29.32/29.76 tff(f1037,plain,( 29.32/29.76 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_173), 29.32/29.76 inference(superposition,[],[f942,f48])). 29.32/29.76 tff(f1038,plain,( 29.32/29.76 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_173), 29.32/29.76 inference(superposition,[],[f942,f47])). 29.32/29.76 tff(f1040,plain,( 29.32/29.76 spl6_193 <=> ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_193])])). 29.32/29.76 tff(f1041,plain,( 29.32/29.76 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_193), 29.32/29.76 inference(avatar_component_clause,[],[f1040])). 29.32/29.76 tff(f1042,plain,( 29.32/29.76 ~spl6_193 | spl6_173), 29.32/29.76 inference(avatar_split_clause,[],[f1034,f941,f1040])). 29.32/29.76 tff(f1044,plain,( 29.32/29.76 spl6_194 <=> max(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) = sK3(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_194])])). 29.32/29.76 tff(f1045,plain,( 29.32/29.76 max(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) = sK3(sK0,sK1,sK2) | ~spl6_194), 29.32/29.76 inference(avatar_component_clause,[],[f1044])). 29.32/29.76 tff(f1046,plain,( 29.32/29.76 spl6_194 | spl6_173), 29.32/29.76 inference(avatar_split_clause,[],[f1035,f941,f1044])). 29.32/29.76 tff(f1048,plain,( 29.32/29.76 spl6_196 <=> max($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_196])])). 29.32/29.76 tff(f1049,plain,( 29.32/29.76 max($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_196), 29.32/29.76 inference(avatar_component_clause,[],[f1048])). 29.32/29.76 tff(f1050,plain,( 29.32/29.76 spl6_196 | spl6_173), 29.32/29.76 inference(avatar_split_clause,[],[f1036,f941,f1048])). 29.32/29.76 tff(f1052,plain,( 29.32/29.76 spl6_199 <=> ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK0)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_199])])). 29.32/29.76 tff(f1053,plain,( 29.32/29.76 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) | ~spl6_199), 29.32/29.76 inference(avatar_component_clause,[],[f1052])). 29.32/29.76 tff(f1054,plain,( 29.32/29.76 spl6_34 | ~spl6_199 | spl6_173), 29.32/29.76 inference(avatar_split_clause,[],[f1037,f941,f1052,f198])). 29.32/29.76 tff(f1074,plain,( 29.32/29.76 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK0)))) | ~spl6_199), 29.32/29.76 inference(resolution,[],[f1053,f50])). 29.32/29.76 tff(f1075,plain,( 29.32/29.76 max(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) = sK3(sK0,sK1,sK2) | ~spl6_199), 29.32/29.76 inference(resolution,[],[f1053,f48])). 29.32/29.76 tff(f1076,plain,( 29.32/29.76 max($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | ~spl6_199), 29.32/29.76 inference(resolution,[],[f1053,f47])). 29.32/29.76 tff(f1078,plain,( 29.32/29.76 spl6_201 <=> ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK0))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_201])])). 29.32/29.76 tff(f1079,plain,( 29.32/29.76 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK0)))) | ~spl6_201), 29.32/29.76 inference(avatar_component_clause,[],[f1078])). 29.32/29.76 tff(f1080,plain,( 29.32/29.76 ~spl6_201 | spl6_199), 29.32/29.76 inference(avatar_split_clause,[],[f1074,f1052,f1078])). 29.32/29.76 tff(f1082,plain,( 29.32/29.76 spl6_202 <=> max(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) = sK3(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_202])])). 29.32/29.76 tff(f1084,plain,( 29.32/29.76 spl6_202 | spl6_199), 29.32/29.76 inference(avatar_split_clause,[],[f1075,f1052,f1082])). 29.32/29.76 tff(f1086,plain,( 29.32/29.76 spl6_204 <=> max($sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_204])])). 29.32/29.76 tff(f1088,plain,( 29.32/29.76 spl6_204 | spl6_199), 29.32/29.76 inference(avatar_split_clause,[],[f1076,f1052,f1086])). 29.32/29.76 tff(f1094,plain,( 29.32/29.76 $less(summation(summation(summation(sK4(sK0,sK1,sK2)))),summation(summation(summation(sK2)))) | ~spl6_128), 29.32/29.76 inference(resolution,[],[f766,f49])). 29.32/29.76 tff(f1096,plain,( 29.32/29.76 spl6_206 <=> $less(summation(summation(summation(sK4(sK0,sK1,sK2)))),summation(summation(summation(sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_206])])). 29.32/29.76 tff(f1098,plain,( 29.32/29.76 spl6_206 | ~spl6_128), 29.32/29.76 inference(avatar_split_clause,[],[f1094,f765,f1096])). 29.32/29.76 tff(f1113,plain,( 29.32/29.76 $less(summation(summation(summation(sK3(sK0,sK1,sK2)))),summation(summation(summation(sK2)))) | ~spl6_184), 29.32/29.76 inference(resolution,[],[f995,f49])). 29.32/29.76 tff(f1115,plain,( 29.32/29.76 spl6_208 <=> $less(summation(summation(summation(sK3(sK0,sK1,sK2)))),summation(summation(summation(sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_208])])). 29.32/29.76 tff(f1117,plain,( 29.32/29.76 spl6_208 | ~spl6_184), 29.32/29.76 inference(avatar_split_clause,[],[f1113,f994,f1115])). 29.32/29.76 tff(f1142,plain,( 29.32/29.76 ~$less(summation(summation(summation(sK2))),summation(summation(summation(sK2)))) | ~spl6_25), 29.32/29.76 inference(resolution,[],[f163,f50])). 29.32/29.76 tff(f1143,plain,( 29.32/29.76 summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK2))) | ~spl6_25), 29.32/29.76 inference(resolution,[],[f163,f48])). 29.32/29.76 tff(f1144,plain,( 29.32/29.76 summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK2))) | ~spl6_25), 29.32/29.76 inference(resolution,[],[f163,f47])). 29.32/29.76 tff(f1146,plain,( 29.32/29.76 spl6_211 <=> ~$less(summation(summation(summation(sK2))),summation(summation(summation(sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_211])])). 29.32/29.76 tff(f1148,plain,( 29.32/29.76 ~spl6_211 | spl6_25), 29.32/29.76 inference(avatar_split_clause,[],[f1142,f162,f1146])). 29.32/29.76 tff(f1150,plain,( 29.32/29.76 spl6_212 <=> summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_212])])). 29.32/29.76 tff(f1152,plain,( 29.32/29.76 spl6_212 | spl6_25), 29.32/29.76 inference(avatar_split_clause,[],[f1143,f162,f1150])). 29.32/29.76 tff(f1153,plain,( 29.32/29.76 spl6_212 | spl6_25), 29.32/29.76 inference(avatar_split_clause,[],[f1144,f162,f1150])). 29.32/29.76 tff(f1169,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,summation(sK2)) | $less(summation(sK4(sK0,sK1,sK2)),sK2) | (~spl6_44 | ~spl6_104 | ~spl6_114)), 29.32/29.76 inference(resolution,[],[f759,f688])). 29.32/29.76 tff(f1171,plain,( 29.32/29.76 spl6_214 <=> $less(summation(sK4(sK0,sK1,sK2)),sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_214])])). 29.32/29.76 tff(f1172,plain,( 29.32/29.76 $less(summation(sK4(sK0,sK1,sK2)),sK2) | ~spl6_214), 29.32/29.76 inference(avatar_component_clause,[],[f1171])). 29.32/29.76 tff(f1174,plain,( 29.32/29.76 spl6_217 <=> ~minsol_model_ub(sK0,sK1,summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_217])])). 29.32/29.76 tff(f1175,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,summation(sK2)) | ~spl6_217), 29.32/29.76 inference(avatar_component_clause,[],[f1174])). 29.32/29.76 tff(f1176,plain,( 29.32/29.76 spl6_214 | ~spl6_217 | ~spl6_44 | ~spl6_104 | ~spl6_114), 29.32/29.76 inference(avatar_split_clause,[],[f1169,f713,f631,f231,f1174,f1171])). 29.32/29.76 tff(f1185,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,summation(sK2)) | $less(summation(sK3(sK0,sK1,sK2)),sK2) | (~spl6_44 | ~spl6_104 | ~spl6_170)), 29.32/29.76 inference(resolution,[],[f988,f688])). 29.32/29.76 tff(f1186,plain,( 29.32/29.76 ~model_ub(sK0,sK1,summation(sK2)) | model_ub(sK0,sK1,sK4(sK0,sK1,summation(sK2))) | ~spl6_217), 29.32/29.76 inference(resolution,[],[f1175,f60])). 29.32/29.76 tff(f1187,plain,( 29.32/29.76 ~model_ub(sK0,sK1,summation(sK2)) | $less(sK4(sK0,sK1,summation(sK2)),summation(sK2)) | ~spl6_217), 29.32/29.76 inference(resolution,[],[f1175,f61])). 29.32/29.76 tff(f1189,plain,( 29.32/29.76 spl6_218 <=> model_ub(sK0,sK1,sK4(sK0,sK1,summation(sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_218])])). 29.32/29.76 tff(f1192,plain,( 29.32/29.76 spl6_221 <=> ~model_ub(sK0,sK1,summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_221])])). 29.32/29.76 tff(f1193,plain,( 29.32/29.76 ~model_ub(sK0,sK1,summation(sK2)) | ~spl6_221), 29.32/29.76 inference(avatar_component_clause,[],[f1192])). 29.32/29.76 tff(f1194,plain,( 29.32/29.76 spl6_218 | ~spl6_221 | spl6_217), 29.32/29.76 inference(avatar_split_clause,[],[f1186,f1174,f1192,f1189])). 29.32/29.76 tff(f1196,plain,( 29.32/29.76 spl6_222 <=> $less(sK4(sK0,sK1,summation(sK2)),summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_222])])). 29.32/29.76 tff(f1198,plain,( 29.32/29.76 spl6_222 | ~spl6_221 | spl6_217), 29.32/29.76 inference(avatar_split_clause,[],[f1187,f1174,f1192,f1196])). 29.32/29.76 tff(f1208,plain,( 29.32/29.76 ~ub(sK0,sK1,max(sK0,sK1)) | ~$less(sK3(sK0,sK1,sK2),sK2) | (~spl6_0 | ~spl6_173)), 29.32/29.76 inference(resolution,[],[f1031,f113])). 29.32/29.76 tff(f1210,plain,( 29.32/29.76 spl6_15 <=> ~$less(sK3(sK0,sK1,sK2),sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_15])])). 29.32/29.76 tff(f1213,plain,( 29.32/29.76 spl6_225 <=> ~ub(sK0,sK1,max(sK0,sK1))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_225])])). 29.32/29.76 tff(f1214,plain,( 29.32/29.76 ~ub(sK0,sK1,max(sK0,sK1)) | ~spl6_225), 29.32/29.76 inference(avatar_component_clause,[],[f1213])). 29.32/29.76 tff(f1215,plain,( 29.32/29.76 ~spl6_15 | ~spl6_225 | ~spl6_0 | spl6_173), 29.32/29.76 inference(avatar_split_clause,[],[f1208,f941,f75,f1213,f1210])). 29.32/29.76 tff(f1216,plain,( 29.32/29.76 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | ~spl6_193), 29.32/29.76 inference(resolution,[],[f1041,f49])). 29.32/29.76 tff(f1219,plain,( 29.32/29.76 ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(max(sK0,sK1)))))) | ~spl6_193), 29.32/29.76 inference(resolution,[],[f1041,f50])). 29.32/29.76 tff(f1220,plain,( 29.32/29.76 summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_193), 29.32/29.76 inference(resolution,[],[f1041,f48])). 29.32/29.76 tff(f1221,plain,( 29.32/29.76 summation(sK3(sK0,sK1,sK2)) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK3(sK0,sK1,sK2))) | ~spl6_193), 29.32/29.76 inference(resolution,[],[f1041,f47])). 29.32/29.76 tff(f1223,plain,( 29.32/29.76 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK1)))) | $less(sK1,sK0) | ~spl6_193), 29.32/29.76 inference(superposition,[],[f1041,f47])). 29.32/29.76 tff(f1225,plain,( 29.32/29.76 spl6_227 <=> ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(max(sK0,sK1))))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_227])])). 29.32/29.76 tff(f1227,plain,( 29.32/29.76 ~spl6_227 | spl6_193), 29.32/29.76 inference(avatar_split_clause,[],[f1219,f1040,f1225])). 29.32/29.76 tff(f1229,plain,( 29.32/29.76 spl6_228 <=> summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_228])])). 29.32/29.76 tff(f1231,plain,( 29.32/29.76 spl6_228 | spl6_193), 29.32/29.76 inference(avatar_split_clause,[],[f1220,f1040,f1229])). 29.32/29.76 tff(f1233,plain,( 29.32/29.76 spl6_230 <=> summation(sK3(sK0,sK1,sK2)) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK3(sK0,sK1,sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_230])])). 29.32/29.76 tff(f1235,plain,( 29.32/29.76 spl6_230 | spl6_193), 29.32/29.76 inference(avatar_split_clause,[],[f1221,f1040,f1233])). 29.32/29.76 tff(f1255,plain,( 29.32/29.76 $less(summation(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2)))),summation(summation(sK4(sK0,sK1,sK2)))) | ~spl6_144), 29.32/29.76 inference(resolution,[],[f831,f49])). 29.32/29.76 tff(f1257,plain,( 29.32/29.76 spl6_232 <=> $less(summation(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2)))),summation(summation(sK4(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_232])])). 29.32/29.76 tff(f1259,plain,( 29.32/29.76 spl6_232 | ~spl6_144), 29.32/29.76 inference(avatar_split_clause,[],[f1255,f830,f1257])). 29.32/29.76 tff(f1271,plain,( 29.32/29.76 ~$less(sK3(sK0,sK1,sK2),sK2) | $less(max(sK0,sK1),sK0) | $less(max(sK0,sK1),sK1) | (~spl6_0 | ~spl6_173)), 29.32/29.76 inference(resolution,[],[f321,f942])). 29.32/29.76 tff(f1272,plain,( 29.32/29.76 ~$less(sK3(sK0,sK1,sK2),sK2) | $less(sK0,sK0) | $less(sK0,sK1) | (~spl6_0 | ~spl6_199)), 29.32/29.76 inference(resolution,[],[f321,f1053])). 29.32/29.76 tff(f1273,plain,( 29.32/29.76 ( ! [X22:$int] : (~$less(sK3(sK0,sK1,sK2),sK2) | $less(X22,sK0) | $less(X22,sK1) | ~minsol_model_max(sK0,sK1,$sum(c,summation(X22)))) ) | (~spl6_0 | ~spl6_12)), 29.32/29.76 inference(resolution,[],[f321,f937])). 29.32/29.76 tff(f1274,plain,( 29.32/29.76 ~$less(sK4(sK0,sK1,sK2),sK2) | $less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK0) | $less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK1) | (~spl6_0 | ~spl6_117)), 29.32/29.76 inference(resolution,[],[f321,f723])). 29.32/29.76 tff(f1275,plain,( 29.32/29.76 spl6_106 | spl6_108 | ~spl6_15 | ~spl6_0 | spl6_173), 29.32/29.76 inference(avatar_split_clause,[],[f1271,f941,f75,f1210,f666,f663])). 29.32/29.76 tff(f1276,plain,( 29.32/29.76 spl6_34 | spl6_110 | ~spl6_15 | ~spl6_0 | spl6_199), 29.32/29.76 inference(avatar_split_clause,[],[f1272,f1052,f75,f1210,f670,f198])). 29.32/29.76 tff(f1278,plain,( 29.32/29.76 spl6_234 <=> ! [X22 : $int] : ($less(X22,sK0) | ~minsol_model_max(sK0,sK1,$sum(c,summation(X22))) | $less(X22,sK1))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_234])])). 29.32/29.76 tff(f1280,plain,( 29.32/29.76 spl6_234 | ~spl6_15 | ~spl6_0 | ~spl6_12), 29.32/29.76 inference(avatar_split_clause,[],[f1273,f106,f75,f1210,f1278])). 29.32/29.76 tff(f1282,plain,( 29.32/29.76 spl6_140 <=> $less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK1)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_140])])). 29.32/29.76 tff(f1285,plain,( 29.32/29.76 spl6_142 <=> $less(sK5(sK0,sK1,sK4(sK0,sK1,sK2)),sK0)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_142])])). 29.32/29.76 tff(f1287,plain,( 29.32/29.76 spl6_140 | spl6_142 | ~spl6_9 | ~spl6_0 | spl6_117), 29.32/29.76 inference(avatar_split_clause,[],[f1274,f722,f75,f797,f1285,f1282])). 29.32/29.76 tff(f1289,plain,( 29.32/29.76 spl6_12 | spl6_173), 29.32/29.76 inference(avatar_split_clause,[],[f1030,f941,f106])). 29.32/29.76 tff(f1290,plain,( 29.32/29.76 spl6_14 | ~spl6_170), 29.32/29.76 inference(avatar_split_clause,[],[f987,f933,f110])). 29.32/29.76 tff(f1292,plain,( 29.32/29.76 spl6_237 <=> ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK1))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_237])])). 29.32/29.76 tff(f1293,plain,( 29.32/29.76 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK1)))) | ~spl6_237), 29.32/29.76 inference(avatar_component_clause,[],[f1292])). 29.32/29.76 tff(f1294,plain,( 29.32/29.76 spl6_38 | ~spl6_237 | spl6_193), 29.32/29.76 inference(avatar_split_clause,[],[f1223,f1040,f1292,f205])). 29.32/29.76 tff(f1296,plain,( 29.32/29.76 spl6_239 <=> ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK1)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_239])])). 29.32/29.76 tff(f1298,plain,( 29.32/29.76 spl6_38 | ~spl6_239 | spl6_173), 29.32/29.76 inference(avatar_split_clause,[],[f1038,f941,f1296,f205])). 29.32/29.76 tff(f1300,plain,( 29.32/29.76 spl6_241 <=> ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK1)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_241])])). 29.32/29.76 tff(f1301,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK1))) | ~spl6_241), 29.32/29.76 inference(avatar_component_clause,[],[f1300])). 29.32/29.76 tff(f1302,plain,( 29.32/29.76 spl6_38 | ~spl6_241 | spl6_137), 29.32/29.76 inference(avatar_split_clause,[],[f866,f800,f1300,f205])). 29.32/29.76 tff(f1304,plain,( 29.32/29.76 spl6_242 <=> $less(sK1,sK1)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_242])])). 29.32/29.76 tff(f1306,plain,( 29.32/29.76 spl6_242 | spl6_38 | spl6_7 | spl6_41), 29.32/29.76 inference(avatar_split_clause,[],[f653,f208,f87,f205,f1304])). 29.32/29.76 tff(f1307,plain,( 29.32/29.76 ~spl6_1 | spl6_7), 29.32/29.76 inference(avatar_split_clause,[],[f480,f87,f68])). 29.32/29.76 tff(f1308,plain,( 29.32/29.76 ~spl6_1 | spl6_7), 29.32/29.76 inference(avatar_split_clause,[],[f358,f87,f68])). 29.32/29.76 tff(f1309,plain,( 29.32/29.76 ~spl6_1 | spl6_7), 29.32/29.76 inference(avatar_split_clause,[],[f124,f87,f68])). 29.32/29.76 tff(f1311,plain,( 29.32/29.76 spl6_244 <=> ! [X1 : $int] : ($less(X1,$sum(c,summation(sK1))) | ~$less(X1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_244])])). 29.32/29.76 tff(f1313,plain,( 29.32/29.76 spl6_38 | spl6_244 | ~spl6_2), 29.32/29.76 inference(avatar_split_clause,[],[f514,f78,f1311,f205])). 29.32/29.76 tff(f1317,plain,( 29.32/29.76 spl6_4 | ~spl6_7 | spl6_1), 29.32/29.76 inference(avatar_split_clause,[],[f81,f68,f87,f84])). 29.32/29.76 tff(f1318,plain,( 29.32/29.76 spl6_4 | ~spl6_7 | spl6_1), 29.32/29.76 inference(avatar_split_clause,[],[f119,f68,f87,f84])). 29.32/29.76 tff(f1319,plain,( 29.32/29.76 spl6_4 | ~spl6_7 | spl6_1), 29.32/29.76 inference(avatar_split_clause,[],[f353,f68,f87,f84])). 29.32/29.76 tff(f1320,plain,( 29.32/29.76 spl6_4 | ~spl6_7 | spl6_1), 29.32/29.76 inference(avatar_split_clause,[],[f475,f68,f87,f84])). 29.32/29.76 tff(f1321,plain,( 29.32/29.76 ~spl6_173 | spl6_193), 29.32/29.76 inference(avatar_split_clause,[],[f1216,f1040,f941])). 29.32/29.76 tff(f1338,plain,( 29.32/29.76 ( ! [X0:$int] : (model_ub(sK0,sK1,X0) | $less(X0,sK2)) ) | (~spl6_44 | ~spl6_104)), 29.32/29.76 inference(forward_demodulation,[],[f743,f632])). 29.32/29.76 tff(f1342,plain,( 29.32/29.76 spl6_6 | spl6_43 | ~spl6_44), 29.32/29.76 inference(avatar_split_clause,[],[f742,f231,f227,f116])). 29.32/29.76 tff(f1349,plain,( 29.32/29.76 spl6_4 | spl6_0 | ~spl6_6), 29.32/29.76 inference(avatar_split_clause,[],[f695,f116,f75,f84])). 29.32/29.76 tff(f1351,plain,( 29.32/29.76 spl6_4 | spl6_0 | ~spl6_6), 29.32/29.76 inference(avatar_split_clause,[],[f390,f116,f75,f84])). 29.32/29.76 tff(f1353,plain,( 29.32/29.76 spl6_4 | spl6_0 | ~spl6_6), 29.32/29.76 inference(avatar_split_clause,[],[f250,f116,f75,f84])). 29.32/29.76 tff(f1355,plain,( 29.32/29.76 spl6_4 | spl6_0 | ~spl6_6), 29.32/29.76 inference(avatar_split_clause,[],[f224,f116,f75,f84])). 29.32/29.76 tff(f1416,plain,( 29.32/29.76 ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))))) | ~spl6_120), 29.32/29.76 inference(resolution,[],[f731,f65])). 29.32/29.76 tff(f1417,plain,( 29.32/29.76 ub(sK0,sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | ~spl6_120), 29.32/29.76 inference(resolution,[],[f731,f66])). 29.32/29.76 tff(f1418,plain,( 29.32/29.76 ( ! [X0:$int] : (~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),X0) | ~minsol_model_ub(sK0,sK1,X0)) ) | ~spl6_120), 29.32/29.76 inference(resolution,[],[f731,f58])). 29.32/29.76 tff(f1419,plain,( 29.32/29.76 minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | model_ub(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | ~spl6_120), 29.32/29.76 inference(resolution,[],[f731,f60])). 29.32/29.76 tff(f1420,plain,( 29.32/29.76 minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | $less(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))),sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | ~spl6_120), 29.32/29.76 inference(resolution,[],[f731,f61])). 29.32/29.76 tff(f1422,plain,( 29.32/29.76 spl6_247 <=> ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_247])])). 29.32/29.76 tff(f1423,plain,( 29.32/29.76 ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))))) | ~spl6_247), 29.32/29.76 inference(avatar_component_clause,[],[f1422])). 29.32/29.76 tff(f1424,plain,( 29.32/29.76 ~spl6_247 | ~spl6_120), 29.32/29.76 inference(avatar_split_clause,[],[f1416,f730,f1422])). 29.32/29.76 tff(f1426,plain,( 29.32/29.76 spl6_248 <=> ub(sK0,sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_248])])). 29.32/29.76 tff(f1427,plain,( 29.32/29.76 ub(sK0,sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | ~spl6_248), 29.32/29.76 inference(avatar_component_clause,[],[f1426])). 29.32/29.76 tff(f1428,plain,( 29.32/29.76 spl6_248 | ~spl6_120), 29.32/29.76 inference(avatar_split_clause,[],[f1417,f730,f1426])). 29.32/29.76 tff(f1430,plain,( 29.32/29.76 spl6_250 <=> model_ub(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_250])])). 29.32/29.76 tff(f1431,plain,( 29.32/29.76 model_ub(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | ~spl6_250), 29.32/29.76 inference(avatar_component_clause,[],[f1430])). 29.32/29.76 tff(f1433,plain,( 29.32/29.76 spl6_252 <=> minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_252])])). 29.32/29.76 tff(f1434,plain,( 29.32/29.76 minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | ~spl6_252), 29.32/29.76 inference(avatar_component_clause,[],[f1433])). 29.32/29.76 tff(f1435,plain,( 29.32/29.76 spl6_250 | spl6_252 | ~spl6_120), 29.32/29.76 inference(avatar_split_clause,[],[f1419,f730,f1433,f1430])). 29.32/29.76 tff(f1437,plain,( 29.32/29.76 spl6_254 <=> $less(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))),sK4(sK0,sK1,sK4(sK0,sK1,sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_254])])). 29.32/29.76 tff(f1438,plain,( 29.32/29.76 $less(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))),sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | ~spl6_254), 29.32/29.76 inference(avatar_component_clause,[],[f1437])). 29.32/29.76 tff(f1439,plain,( 29.32/29.76 spl6_254 | spl6_252 | ~spl6_120), 29.32/29.76 inference(avatar_split_clause,[],[f1420,f730,f1433,f1437])). 29.32/29.76 tff(f1448,plain,( 29.32/29.76 ( ! [X0:$int] : ($less(X0,$sum(c,summation(sK0))) | ~$less(X0,sK2) | $less(sK0,sK1)) ) | ~spl6_2), 29.32/29.76 inference(superposition,[],[f135,f48])). 29.32/29.76 tff(f1449,plain,( 29.32/29.76 ( ! [X1:$int] : ($less(X1,$sum(c,summation(sK1))) | ~$less(X1,sK2) | $less(sK1,sK0)) ) | ~spl6_2), 29.32/29.76 inference(superposition,[],[f135,f47])). 29.32/29.76 tff(f1482,plain,( 29.32/29.76 $less(summation(sK3(sK0,sK1,sK2)),sK2) | ~minsol_model_ub(sK0,sK1,summation(sK2)) | (~spl6_44 | ~spl6_104 | ~spl6_170)), 29.32/29.76 inference(resolution,[],[f1338,f988])). 29.32/29.76 tff(f1502,plain,( 29.32/29.76 ~$less(sK2,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | (~spl6_6 | ~spl6_252)), 29.32/29.76 inference(resolution,[],[f1434,f223])). 29.32/29.76 tff(f1506,plain,( 29.32/29.76 spl6_257 <=> ~$less(sK2,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_257])])). 29.32/29.76 tff(f1507,plain,( 29.32/29.76 ~$less(sK2,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | ~spl6_257), 29.32/29.76 inference(avatar_component_clause,[],[f1506])). 29.32/29.76 tff(f1508,plain,( 29.32/29.76 ~spl6_257 | ~spl6_6 | ~spl6_252), 29.32/29.76 inference(avatar_split_clause,[],[f1502,f1433,f116,f1506])). 29.32/29.76 tff(f1514,plain,( 29.32/29.76 $less(summation(summation(sK0)),summation(summation(sK1))) | ~spl6_64), 29.32/29.76 inference(resolution,[],[f370,f49])). 29.32/29.76 tff(f1516,plain,( 29.32/29.76 spl6_258 <=> $less(summation(summation(sK0)),summation(summation(sK1)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_258])])). 29.32/29.76 tff(f1517,plain,( 29.32/29.76 $less(summation(summation(sK0)),summation(summation(sK1))) | ~spl6_258), 29.32/29.76 inference(avatar_component_clause,[],[f1516])). 29.32/29.76 tff(f1518,plain,( 29.32/29.76 spl6_258 | ~spl6_64), 29.32/29.76 inference(avatar_split_clause,[],[f1514,f369,f1516])). 29.32/29.76 tff(f1531,plain,( 29.32/29.76 ( ! [X0:$int,X1:$int] : (~ub(X0,$sum(c,summation(sK0)),X1) | ~$less(X1,sK2) | $less(sK0,sK1)) ) | ~spl6_2), 29.32/29.76 inference(superposition,[],[f509,f48])). 29.32/29.76 tff(f1532,plain,( 29.32/29.76 ( ! [X2:$int,X3:$int] : (~ub(X2,$sum(c,summation(sK1)),X3) | ~$less(X3,sK2) | $less(sK1,sK0)) ) | ~spl6_2), 29.32/29.76 inference(superposition,[],[f509,f47])). 29.32/29.76 tff(f1539,plain,( 29.32/29.76 ( ! [X0:$int,X1:$int] : (~ub($sum(c,summation(sK0)),X0,X1) | ~$less(X1,sK2) | $less(sK0,sK1)) ) | ~spl6_2), 29.32/29.76 inference(superposition,[],[f510,f48])). 29.32/29.76 tff(f1540,plain,( 29.32/29.76 ( ! [X2:$int,X3:$int] : (~ub($sum(c,summation(sK1)),X2,X3) | ~$less(X3,sK2) | $less(sK1,sK0)) ) | ~spl6_2), 29.32/29.76 inference(superposition,[],[f510,f47])). 29.32/29.76 tff(f1564,plain,( 29.32/29.76 ( ! [X0:$int] : ($less(summation(X0),summation($sum(c,summation(sK0)))) | ~$less(X0,sK2) | $less(sK0,sK1)) ) | ~spl6_2), 29.32/29.76 inference(superposition,[],[f511,f48])). 29.32/29.76 tff(f1565,plain,( 29.32/29.76 ( ! [X1:$int] : ($less(summation(X1),summation($sum(c,summation(sK1)))) | ~$less(X1,sK2) | $less(sK1,sK0)) ) | ~spl6_2), 29.32/29.76 inference(superposition,[],[f511,f47])). 29.32/29.76 tff(f1566,plain,( 29.32/29.76 $less(summation(sK2),sK2) | (~spl6_44 | ~spl6_104 | ~spl6_221)), 29.32/29.76 inference(resolution,[],[f1193,f1338])). 29.32/29.76 tff(f1570,plain,( 29.32/29.76 spl6_260 <=> $less(summation(sK2),sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_260])])). 29.32/29.76 tff(f1571,plain,( 29.32/29.76 $less(summation(sK2),sK2) | ~spl6_260), 29.32/29.76 inference(avatar_component_clause,[],[f1570])). 29.32/29.76 tff(f1572,plain,( 29.32/29.76 spl6_260 | ~spl6_44 | ~spl6_104 | spl6_221), 29.32/29.76 inference(avatar_split_clause,[],[f1566,f1192,f631,f231,f1570])). 29.32/29.76 tff(f1574,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | (~spl6_120 | ~spl6_124)), 29.32/29.76 inference(resolution,[],[f1418,f738])). 29.32/29.76 tff(f1585,plain,( 29.32/29.76 spl6_123 <=> ~minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_123])])). 29.32/29.76 tff(f1587,plain,( 29.32/29.76 ~spl6_123 | ~spl6_120 | ~spl6_124), 29.32/29.76 inference(avatar_split_clause,[],[f1574,f737,f730,f1585])). 29.32/29.76 tff(f1589,plain,( 29.32/29.76 ~$less(sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))),sK1) | ~spl6_248), 29.32/29.76 inference(resolution,[],[f1427,f51])). 29.32/29.76 tff(f1590,plain,( 29.32/29.76 ~$less(sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))),sK0) | ~spl6_248), 29.32/29.76 inference(resolution,[],[f1427,f52])). 29.32/29.76 tff(f1592,plain,( 29.32/29.76 spl6_263 <=> ~$less(sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))),sK1)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_263])])). 29.32/29.76 tff(f1594,plain,( 29.32/29.76 ~spl6_263 | ~spl6_248), 29.32/29.76 inference(avatar_split_clause,[],[f1589,f1426,f1592])). 29.32/29.76 tff(f1596,plain,( 29.32/29.76 spl6_265 <=> ~$less(sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))),sK0)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_265])])). 29.32/29.76 tff(f1598,plain,( 29.32/29.76 ~spl6_265 | ~spl6_248), 29.32/29.76 inference(avatar_split_clause,[],[f1590,f1426,f1596])). 29.32/29.76 tff(f1606,plain,( 29.32/29.76 max(sK4(sK0,sK1,sK2),sK4(sK0,sK1,sK4(sK0,sK1,sK2))) = sK4(sK0,sK1,sK2) | (~spl6_4 | ~spl6_252)), 29.32/29.76 inference(resolution,[],[f790,f1434])). 29.32/29.76 tff(f1610,plain,( 29.32/29.76 spl6_266 <=> max(sK4(sK0,sK1,sK2),sK4(sK0,sK1,sK4(sK0,sK1,sK2))) = sK4(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_266])])). 29.32/29.76 tff(f1612,plain,( 29.32/29.76 spl6_266 | ~spl6_4 | ~spl6_252), 29.32/29.76 inference(avatar_split_clause,[],[f1606,f1433,f84,f1610])). 29.32/29.76 tff(f1613,plain,( 29.32/29.76 max(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2) | (~spl6_4 | ~spl6_252)), 29.32/29.76 inference(resolution,[],[f791,f1434])). 29.32/29.76 tff(f1617,plain,( 29.32/29.76 spl6_268 <=> max(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK4(sK0,sK1,sK2)) = sK4(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_268])])). 29.32/29.76 tff(f1619,plain,( 29.32/29.76 spl6_268 | ~spl6_4 | ~spl6_252), 29.32/29.76 inference(avatar_split_clause,[],[f1613,f1433,f84,f1617])). 29.32/29.76 tff(f1620,plain,( 29.32/29.76 ~$less(sK2,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | $less(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | (~spl6_6 | ~spl6_250)), 29.32/29.76 inference(resolution,[],[f1431,f258])). 29.32/29.76 tff(f1621,plain,( 29.32/29.76 ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))))) | ~spl6_250), 29.32/29.76 inference(resolution,[],[f1431,f65])). 29.32/29.76 tff(f1622,plain,( 29.32/29.76 ub(sK0,sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))) | ~spl6_250), 29.32/29.76 inference(resolution,[],[f1431,f66])). 29.32/29.76 tff(f1624,plain,( 29.32/29.76 minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | model_ub(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))) | ~spl6_250), 29.32/29.76 inference(resolution,[],[f1431,f60])). 29.32/29.76 tff(f1625,plain,( 29.32/29.76 minsol_model_ub(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_250), 29.32/29.76 inference(resolution,[],[f1431,f61])). 29.32/29.76 tff(f1627,plain,( 29.32/29.76 spl6_270 <=> $less(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_270])])). 29.32/29.76 tff(f1630,plain,( 29.32/29.76 spl6_273 <=> ~$less(sK2,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_273])])). 29.32/29.76 tff(f1632,plain,( 29.32/29.76 spl6_270 | ~spl6_273 | ~spl6_6 | ~spl6_250), 29.32/29.76 inference(avatar_split_clause,[],[f1620,f1430,f116,f1630,f1627])). 29.32/29.76 tff(f1634,plain,( 29.32/29.76 spl6_275 <=> ~$less(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_275])])). 29.32/29.76 tff(f1636,plain,( 29.32/29.76 ~spl6_275 | ~spl6_250), 29.32/29.76 inference(avatar_split_clause,[],[f1621,f1430,f1634])). 29.32/29.76 tff(f1638,plain,( 29.32/29.76 spl6_276 <=> ub(sK0,sK1,sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_276])])). 29.32/29.76 tff(f1640,plain,( 29.32/29.76 spl6_276 | ~spl6_250), 29.32/29.76 inference(avatar_split_clause,[],[f1622,f1430,f1638])). 29.32/29.76 tff(f1642,plain,( 29.32/29.76 spl6_278 <=> model_ub(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_278])])). 29.32/29.76 tff(f1645,plain,( 29.32/29.76 spl6_280 <=> minsol_model_ub(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_280])])). 29.32/29.76 tff(f1647,plain,( 29.32/29.76 spl6_278 | spl6_280 | ~spl6_250), 29.32/29.76 inference(avatar_split_clause,[],[f1624,f1430,f1645,f1642])). 29.32/29.76 tff(f1648,plain,( 29.32/29.76 spl6_270 | spl6_280 | ~spl6_250), 29.32/29.76 inference(avatar_split_clause,[],[f1625,f1430,f1645,f1627])). 29.32/29.76 tff(f1656,plain,( 29.32/29.76 $less(sK4(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | (~spl6_2 | ~spl6_8)), 29.32/29.76 inference(resolution,[],[f822,f79])). 29.32/29.76 tff(f1658,plain,( 29.32/29.76 spl6_282 <=> $less(sK4(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_282])])). 29.32/29.76 tff(f1659,plain,( 29.32/29.76 $less(sK4(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | ~spl6_282), 29.32/29.76 inference(avatar_component_clause,[],[f1658])). 29.32/29.76 tff(f1660,plain,( 29.32/29.76 spl6_282 | ~spl6_2 | ~spl6_8), 29.32/29.76 inference(avatar_split_clause,[],[f1656,f91,f78,f1658])). 29.32/29.76 tff(f1665,plain,( 29.32/29.76 $less(summation(summation(sK2)),summation(sK2)) | ~spl6_260), 29.32/29.76 inference(resolution,[],[f1571,f49])). 29.32/29.76 tff(f1667,plain,( 29.32/29.76 spl6_284 <=> $less(summation(summation(sK2)),summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_284])])). 29.32/29.76 tff(f1669,plain,( 29.32/29.76 spl6_284 | ~spl6_260), 29.32/29.76 inference(avatar_split_clause,[],[f1665,f1570,f1667])). 29.32/29.76 tff(f1671,plain,( 29.32/29.76 spl6_286 <=> $less(summation(sK3(sK0,sK1,sK2)),sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_286])])). 29.32/29.76 tff(f1672,plain,( 29.32/29.76 $less(summation(sK3(sK0,sK1,sK2)),sK2) | ~spl6_286), 29.32/29.76 inference(avatar_component_clause,[],[f1671])). 29.32/29.76 tff(f1673,plain,( 29.32/29.76 ~spl6_217 | spl6_286 | ~spl6_44 | ~spl6_104 | ~spl6_170), 29.32/29.76 inference(avatar_split_clause,[],[f1482,f933,f631,f231,f1671,f1174])). 29.32/29.76 tff(f1674,plain,( 29.32/29.76 spl6_286 | ~spl6_217 | ~spl6_44 | ~spl6_104 | ~spl6_170), 29.32/29.76 inference(avatar_split_clause,[],[f1185,f933,f631,f231,f1174,f1671])). 29.32/29.76 tff(f1677,plain,( 29.32/29.76 $less(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | (~spl6_2 | ~spl6_14)), 29.32/29.76 inference(resolution,[],[f1027,f79])). 29.32/29.76 tff(f1679,plain,( 29.32/29.76 spl6_172 <=> $less(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_172])])). 29.32/29.76 tff(f1681,plain,( 29.32/29.76 spl6_172 | ~spl6_2 | ~spl6_14), 29.32/29.76 inference(avatar_split_clause,[],[f1677,f110,f78,f1679])). 29.32/29.76 tff(f1684,plain,( 29.32/29.76 ( ! [X2:$int,X0:$int,X1:$int] : (~minsol_model_ub(X0,X1,$sum(c,summation(sK0))) | ~model_ub(X0,X1,X2) | ~$less(X2,sK2) | $less(sK0,sK1)) ) | ~spl6_2), 29.32/29.76 inference(superposition,[],[f507,f48])). 29.32/29.76 tff(f1685,plain,( 29.32/29.76 ( ! [X4:$int,X5:$int,X3:$int] : (~minsol_model_ub(X3,X4,$sum(c,summation(sK1))) | ~model_ub(X3,X4,X5) | ~$less(X5,sK2) | $less(sK1,sK0)) ) | ~spl6_2), 29.32/29.76 inference(superposition,[],[f507,f47])). 29.32/29.76 tff(f1688,plain,( 29.32/29.76 ( ! [X2:$int,X0:$int,X1:$int] : (~minsol_model_max(X0,X1,$sum(c,summation(sK0))) | ~model_max(X0,X1,X2) | ~$less(X2,sK2) | $less(sK0,sK1)) ) | ~spl6_2), 29.32/29.76 inference(superposition,[],[f508,f48])). 29.32/29.76 tff(f1689,plain,( 29.32/29.76 ( ! [X4:$int,X5:$int,X3:$int] : (~minsol_model_max(X3,X4,$sum(c,summation(sK1))) | ~model_max(X3,X4,X5) | ~$less(X5,sK2) | $less(sK1,sK0)) ) | ~spl6_2), 29.32/29.76 inference(superposition,[],[f508,f47])). 29.32/29.76 tff(f1701,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | model_max(sK2,sK2,sK4(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_22)), 29.32/29.76 inference(superposition,[],[f792,f152])). 29.32/29.76 tff(f1702,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | model_max(sK2,$sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_30)), 29.32/29.76 inference(superposition,[],[f792,f191])). 29.32/29.76 tff(f1703,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | model_max($sum(c,summation(max(sK0,sK1))),sK2,sK4(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_32)), 29.32/29.76 inference(superposition,[],[f792,f195])). 29.32/29.76 tff(f1705,plain,( 29.32/29.76 spl6_288 <=> model_max(sK2,sK2,sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_288])])). 29.32/29.76 tff(f1708,plain,( 29.32/29.76 spl6_291 <=> ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_291])])). 29.32/29.76 tff(f1709,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | ~spl6_291), 29.32/29.76 inference(avatar_component_clause,[],[f1708])). 29.32/29.76 tff(f1710,plain,( 29.32/29.76 spl6_288 | ~spl6_291 | ~spl6_4 | ~spl6_22), 29.32/29.76 inference(avatar_split_clause,[],[f1701,f151,f84,f1708,f1705])). 29.32/29.76 tff(f1712,plain,( 29.32/29.76 spl6_292 <=> model_max(sK2,$sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_292])])). 29.32/29.76 tff(f1714,plain,( 29.32/29.76 spl6_292 | ~spl6_291 | ~spl6_4 | ~spl6_30), 29.32/29.76 inference(avatar_split_clause,[],[f1702,f190,f84,f1708,f1712])). 29.32/29.76 tff(f1716,plain,( 29.32/29.76 spl6_294 <=> model_max($sum(c,summation(max(sK0,sK1))),sK2,sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_294])])). 29.32/29.76 tff(f1718,plain,( 29.32/29.76 spl6_294 | ~spl6_291 | ~spl6_4 | ~spl6_32), 29.32/29.76 inference(avatar_split_clause,[],[f1703,f194,f84,f1708,f1716])). 29.32/29.76 tff(f1725,plain,( 29.32/29.76 $less(summation(sK4(sK0,sK1,sK2)),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))) | ~minsol_model_ub(sK0,sK1,summation(sK2)) | (~spl6_114 | ~spl6_118)), 29.32/29.76 inference(resolution,[],[f807,f759])). 29.32/29.76 tff(f1726,plain,( 29.32/29.76 $less(summation(sK3(sK0,sK1,sK2)),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))) | ~minsol_model_ub(sK0,sK1,summation(sK2)) | (~spl6_118 | ~spl6_170)), 29.32/29.76 inference(resolution,[],[f807,f988])). 29.32/29.76 tff(f1730,plain,( 29.32/29.76 spl6_296 <=> $less(summation(sK4(sK0,sK1,sK2)),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_296])])). 29.32/29.76 tff(f1732,plain,( 29.32/29.76 ~spl6_217 | spl6_296 | ~spl6_114 | ~spl6_118), 29.32/29.76 inference(avatar_split_clause,[],[f1725,f726,f713,f1730,f1174])). 29.32/29.76 tff(f1734,plain,( 29.32/29.76 spl6_298 <=> $less(summation(sK3(sK0,sK1,sK2)),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_298])])). 29.32/29.76 tff(f1736,plain,( 29.32/29.76 ~spl6_217 | spl6_298 | ~spl6_118 | ~spl6_170), 29.32/29.76 inference(avatar_split_clause,[],[f1726,f933,f726,f1734,f1174])). 29.32/29.76 tff(f1738,plain,( 29.32/29.76 max(sK3(sK0,sK1,sK2),$sum(c,summation(sK1))) = sK3(sK0,sK1,sK2) | $less(sK1,sK0) | ~spl6_194), 29.32/29.76 inference(superposition,[],[f1045,f47])). 29.32/29.76 tff(f1739,plain,( 29.32/29.76 $sum(c,summation(max(sK0,sK1))) = sK3(sK0,sK1,sK2) | $less($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) | ~spl6_194), 29.32/29.76 inference(superposition,[],[f1045,f47])). 29.32/29.76 tff(f1740,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2)))) | model_max(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_194)), 29.32/29.76 inference(superposition,[],[f792,f1045])). 29.32/29.76 tff(f1743,plain,( 29.32/29.76 $sum(c,summation(max(sK0,sK1))) = sK3(sK0,sK1,sK2) | $less($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) | ~spl6_194), 29.32/29.76 inference(superposition,[],[f47,f1045])). 29.32/29.76 tff(f1745,plain,( 29.32/29.76 spl6_300 <=> max(sK3(sK0,sK1,sK2),$sum(c,summation(sK1))) = sK3(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_300])])). 29.32/29.76 tff(f1747,plain,( 29.32/29.76 spl6_38 | spl6_300 | ~spl6_194), 29.32/29.76 inference(avatar_split_clause,[],[f1738,f1044,f1745,f205])). 29.32/29.76 tff(f1749,plain,( 29.32/29.76 spl6_302 <=> $less($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_302])])). 29.32/29.76 tff(f1752,plain,( 29.32/29.76 spl6_304 <=> $sum(c,summation(max(sK0,sK1))) = sK3(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_304])])). 29.32/29.76 tff(f1754,plain,( 29.32/29.76 spl6_302 | spl6_304 | ~spl6_194), 29.32/29.76 inference(avatar_split_clause,[],[f1739,f1044,f1752,f1749])). 29.32/29.76 tff(f1756,plain,( 29.32/29.76 spl6_306 <=> model_max(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_306])])). 29.32/29.76 tff(f1759,plain,( 29.32/29.76 spl6_309 <=> ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_309])])). 29.32/29.76 tff(f1760,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2)))) | ~spl6_309), 29.32/29.76 inference(avatar_component_clause,[],[f1759])). 29.32/29.76 tff(f1761,plain,( 29.32/29.76 spl6_306 | ~spl6_309 | ~spl6_4 | ~spl6_194), 29.32/29.76 inference(avatar_split_clause,[],[f1740,f1044,f84,f1759,f1756])). 29.32/29.76 tff(f1762,plain,( 29.32/29.76 spl6_302 | spl6_304 | ~spl6_194), 29.32/29.76 inference(avatar_split_clause,[],[f1743,f1044,f1752,f1749])). 29.32/29.76 tff(f1764,plain,( 29.32/29.76 max($sum(c,summation(sK1)),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2) | $less(sK1,sK0) | ~spl6_196), 29.32/29.76 inference(superposition,[],[f1049,f47])). 29.32/29.76 tff(f1765,plain,( 29.32/29.76 $sum(c,summation(max(sK0,sK1))) = sK3(sK0,sK1,sK2) | $less($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) | ~spl6_196), 29.32/29.76 inference(superposition,[],[f1049,f48])). 29.32/29.76 tff(f1769,plain,( 29.32/29.76 $sum(c,summation(max(sK0,sK1))) = sK3(sK0,sK1,sK2) | $less($sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) | ~spl6_196), 29.32/29.76 inference(superposition,[],[f48,f1049])). 29.32/29.76 tff(f1771,plain,( 29.32/29.76 spl6_310 <=> max($sum(c,summation(sK1)),sK3(sK0,sK1,sK2)) = sK3(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_310])])). 29.32/29.76 tff(f1773,plain,( 29.32/29.76 spl6_38 | spl6_310 | ~spl6_196), 29.32/29.76 inference(avatar_split_clause,[],[f1764,f1048,f1771,f205])). 29.32/29.76 tff(f1774,plain,( 29.32/29.76 spl6_302 | spl6_304 | ~spl6_196), 29.32/29.76 inference(avatar_split_clause,[],[f1765,f1048,f1752,f1749])). 29.32/29.76 tff(f1775,plain,( 29.32/29.76 spl6_302 | spl6_304 | ~spl6_196), 29.32/29.76 inference(avatar_split_clause,[],[f1769,f1048,f1752,f1749])). 29.32/29.76 tff(f1776,plain,( 29.32/29.76 $less(max(sK0,sK1),sK0) | $less(max(sK0,sK1),sK1) | ~spl6_225), 29.32/29.76 inference(resolution,[],[f1214,f53])). 29.32/29.76 tff(f1778,plain,( 29.32/29.76 ~ub(sK0,sK1,sK1) | $less(sK1,sK0) | ~spl6_225), 29.32/29.76 inference(superposition,[],[f1214,f47])). 29.32/29.76 tff(f1779,plain,( 29.32/29.76 spl6_106 | spl6_108 | spl6_225), 29.32/29.76 inference(avatar_split_clause,[],[f1776,f1213,f666,f663])). 29.32/29.76 tff(f1781,plain,( 29.32/29.76 spl6_313 <=> ~ub(sK0,sK1,sK1)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_313])])). 29.32/29.76 tff(f1782,plain,( 29.32/29.76 ~ub(sK0,sK1,sK1) | ~spl6_313), 29.32/29.76 inference(avatar_component_clause,[],[f1781])). 29.32/29.76 tff(f1783,plain,( 29.32/29.76 spl6_38 | ~spl6_313 | spl6_225), 29.32/29.76 inference(avatar_split_clause,[],[f1778,f1213,f1781,f205])). 29.32/29.76 tff(f1815,plain,( 29.32/29.76 ~$less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))))) | ~spl6_147), 29.32/29.76 inference(resolution,[],[f841,f50])). 29.32/29.76 tff(f1816,plain,( 29.32/29.76 summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))))) | ~spl6_147), 29.32/29.76 inference(resolution,[],[f841,f48])). 29.32/29.76 tff(f1817,plain,( 29.32/29.76 summation(sK4(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))),summation(sK4(sK0,sK1,sK2))) | ~spl6_147), 29.32/29.76 inference(resolution,[],[f841,f47])). 29.32/29.76 tff(f1819,plain,( 29.32/29.76 spl6_315 <=> ~$less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_315])])). 29.32/29.76 tff(f1821,plain,( 29.32/29.76 ~spl6_315 | spl6_147), 29.32/29.76 inference(avatar_split_clause,[],[f1815,f840,f1819])). 29.32/29.76 tff(f1823,plain,( 29.32/29.76 spl6_316 <=> summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_316])])). 29.32/29.76 tff(f1825,plain,( 29.32/29.76 spl6_316 | spl6_147), 29.32/29.76 inference(avatar_split_clause,[],[f1816,f840,f1823])). 29.32/29.76 tff(f1827,plain,( 29.32/29.76 spl6_318 <=> summation(sK4(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))),summation(sK4(sK0,sK1,sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_318])])). 29.32/29.76 tff(f1829,plain,( 29.32/29.76 spl6_318 | spl6_147), 29.32/29.76 inference(avatar_split_clause,[],[f1817,f840,f1827])). 29.32/29.76 tff(f1832,plain,( 29.32/29.76 $less(sK1,sK0) | $less(sK1,sK1) | ~spl6_313), 29.32/29.76 inference(resolution,[],[f1782,f53])). 29.32/29.76 tff(f1833,plain,( 29.32/29.76 spl6_242 | spl6_38 | spl6_313), 29.32/29.76 inference(avatar_split_clause,[],[f1832,f1781,f205,f1304])). 29.32/29.76 tff(f1840,plain,( 29.32/29.76 $less(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))),summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | ~spl6_254), 29.32/29.76 inference(resolution,[],[f1438,f49])). 29.32/29.76 tff(f1842,plain,( 29.32/29.76 spl6_320 <=> $less(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))),summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_320])])). 29.32/29.76 tff(f1844,plain,( 29.32/29.76 spl6_320 | ~spl6_254), 29.32/29.76 inference(avatar_split_clause,[],[f1840,f1437,f1842])). 29.32/29.76 tff(f1855,plain,( 29.32/29.76 $sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))) = sK4(sK0,sK1,sK2) | $less($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK2)) | ~spl6_148), 29.32/29.76 inference(superposition,[],[f845,f47])). 29.32/29.76 tff(f1856,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2)))) | model_max(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_148)), 29.32/29.76 inference(superposition,[],[f792,f845])). 29.32/29.76 tff(f1859,plain,( 29.32/29.76 $sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))) = sK4(sK0,sK1,sK2) | $less($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK2)) | ~spl6_148), 29.32/29.76 inference(superposition,[],[f47,f845])). 29.32/29.76 tff(f1861,plain,( 29.32/29.76 spl6_322 <=> $less($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_322])])). 29.32/29.76 tff(f1864,plain,( 29.32/29.76 spl6_324 <=> $sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))) = sK4(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_324])])). 29.32/29.76 tff(f1865,plain,( 29.32/29.76 $sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))) = sK4(sK0,sK1,sK2) | ~spl6_324), 29.32/29.76 inference(avatar_component_clause,[],[f1864])). 29.32/29.76 tff(f1866,plain,( 29.32/29.76 spl6_322 | spl6_324 | ~spl6_148), 29.32/29.76 inference(avatar_split_clause,[],[f1855,f844,f1864,f1861])). 29.32/29.76 tff(f1868,plain,( 29.32/29.76 spl6_326 <=> model_max(sK4(sK0,sK1,sK2),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_326])])). 29.32/29.76 tff(f1871,plain,( 29.32/29.76 spl6_329 <=> ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_329])])). 29.32/29.76 tff(f1872,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2)))) | ~spl6_329), 29.32/29.76 inference(avatar_component_clause,[],[f1871])). 29.32/29.76 tff(f1873,plain,( 29.32/29.76 spl6_326 | ~spl6_329 | ~spl6_4 | ~spl6_148), 29.32/29.76 inference(avatar_split_clause,[],[f1856,f844,f84,f1871,f1868])). 29.32/29.76 tff(f1874,plain,( 29.32/29.76 spl6_322 | spl6_324 | ~spl6_148), 29.32/29.76 inference(avatar_split_clause,[],[f1859,f844,f1864,f1861])). 29.32/29.76 tff(f1899,plain,( 29.32/29.76 ~$less(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))),summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))))) | ~spl6_247), 29.32/29.76 inference(resolution,[],[f1423,f50])). 29.32/29.76 tff(f1900,plain,( 29.32/29.76 max(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))))) = sK4(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_247), 29.32/29.76 inference(resolution,[],[f1423,f48])). 29.32/29.76 tff(f1901,plain,( 29.32/29.76 max($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))),sK4(sK0,sK1,sK4(sK0,sK1,sK2))) = sK4(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_247), 29.32/29.76 inference(resolution,[],[f1423,f47])). 29.32/29.76 tff(f1903,plain,( 29.32/29.76 spl6_331 <=> ~$less(summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))),summation($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_331])])). 29.32/29.76 tff(f1905,plain,( 29.32/29.76 ~spl6_331 | spl6_247), 29.32/29.76 inference(avatar_split_clause,[],[f1899,f1422,f1903])). 29.32/29.76 tff(f1907,plain,( 29.32/29.76 spl6_332 <=> max(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))))) = sK4(sK0,sK1,sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_332])])). 29.32/29.76 tff(f1909,plain,( 29.32/29.76 spl6_332 | spl6_247), 29.32/29.76 inference(avatar_split_clause,[],[f1900,f1422,f1907])). 29.32/29.76 tff(f1911,plain,( 29.32/29.76 spl6_334 <=> max($sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))))),sK4(sK0,sK1,sK4(sK0,sK1,sK2))) = sK4(sK0,sK1,sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_334])])). 29.32/29.76 tff(f1913,plain,( 29.32/29.76 spl6_334 | spl6_247), 29.32/29.76 inference(avatar_split_clause,[],[f1901,f1422,f1911])). 29.32/29.76 tff(f1926,plain,( 29.32/29.76 ~model_ub(sK0,sK1,$sum(c,summation(sK0))) | model_ub(sK0,sK1,sK4(sK0,sK1,$sum(c,summation(sK0)))) | ~spl6_139), 29.32/29.76 inference(resolution,[],[f805,f60])). 29.32/29.76 tff(f1927,plain,( 29.32/29.76 ~model_ub(sK0,sK1,$sum(c,summation(sK0))) | $less(sK4(sK0,sK1,$sum(c,summation(sK0))),$sum(c,summation(sK0))) | ~spl6_139), 29.32/29.76 inference(resolution,[],[f805,f61])). 29.32/29.76 tff(f1929,plain,( 29.32/29.76 spl6_336 <=> model_ub(sK0,sK1,sK4(sK0,sK1,$sum(c,summation(sK0))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_336])])). 29.32/29.76 tff(f1932,plain,( 29.32/29.76 spl6_339 <=> ~model_ub(sK0,sK1,$sum(c,summation(sK0)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_339])])). 29.32/29.76 tff(f1934,plain,( 29.32/29.76 spl6_336 | ~spl6_339 | spl6_139), 29.32/29.76 inference(avatar_split_clause,[],[f1926,f804,f1932,f1929])). 29.32/29.76 tff(f1936,plain,( 29.32/29.76 spl6_340 <=> $less(sK4(sK0,sK1,$sum(c,summation(sK0))),$sum(c,summation(sK0)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_340])])). 29.32/29.76 tff(f1938,plain,( 29.32/29.76 spl6_340 | ~spl6_339 | spl6_139), 29.32/29.76 inference(avatar_split_clause,[],[f1927,f804,f1932,f1936])). 29.32/29.76 tff(f1943,plain,( 29.32/29.76 $less(summation(summation(sK4(sK0,sK1,sK2))),summation(sK2)) | ~spl6_214), 29.32/29.76 inference(resolution,[],[f1172,f49])). 29.32/29.76 tff(f1945,plain,( 29.32/29.76 spl6_342 <=> $less(summation(summation(sK4(sK0,sK1,sK2))),summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_342])])). 29.32/29.76 tff(f1947,plain,( 29.32/29.76 spl6_342 | ~spl6_214), 29.32/29.76 inference(avatar_split_clause,[],[f1943,f1171,f1945])). 29.32/29.76 tff(f1948,plain,( 29.32/29.76 ~model_ub(sK0,sK1,$sum(c,summation(sK1))) | model_ub(sK0,sK1,sK4(sK0,sK1,$sum(c,summation(sK1)))) | ~spl6_241), 29.32/29.76 inference(resolution,[],[f1301,f60])). 29.32/29.76 tff(f1949,plain,( 29.32/29.76 ~model_ub(sK0,sK1,$sum(c,summation(sK1))) | $less(sK4(sK0,sK1,$sum(c,summation(sK1))),$sum(c,summation(sK1))) | ~spl6_241), 29.32/29.76 inference(resolution,[],[f1301,f61])). 29.32/29.76 tff(f1951,plain,( 29.32/29.76 spl6_344 <=> model_ub(sK0,sK1,sK4(sK0,sK1,$sum(c,summation(sK1))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_344])])). 29.32/29.76 tff(f1954,plain,( 29.32/29.76 spl6_347 <=> ~model_ub(sK0,sK1,$sum(c,summation(sK1)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_347])])). 29.32/29.76 tff(f1956,plain,( 29.32/29.76 spl6_344 | ~spl6_347 | spl6_241), 29.32/29.76 inference(avatar_split_clause,[],[f1948,f1300,f1954,f1951])). 29.32/29.76 tff(f1958,plain,( 29.32/29.76 spl6_348 <=> $less(sK4(sK0,sK1,$sum(c,summation(sK1))),$sum(c,summation(sK1)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_348])])). 29.32/29.76 tff(f1960,plain,( 29.32/29.76 spl6_348 | ~spl6_347 | spl6_241), 29.32/29.76 inference(avatar_split_clause,[],[f1949,f1300,f1954,f1958])). 29.32/29.76 tff(f1967,plain,( 29.32/29.76 $less(summation(summation(sK3(sK0,sK1,sK2))),summation(sK2)) | ~spl6_286), 29.32/29.76 inference(resolution,[],[f1672,f49])). 29.32/29.76 tff(f1969,plain,( 29.32/29.76 spl6_350 <=> $less(summation(summation(sK3(sK0,sK1,sK2))),summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_350])])). 29.32/29.76 tff(f1971,plain,( 29.32/29.76 spl6_350 | ~spl6_286), 29.32/29.76 inference(avatar_split_clause,[],[f1967,f1671,f1969])). 29.32/29.76 tff(f1974,plain,( 29.32/29.76 ~model_ub(sK0,sK1,$sum(c,summation(sK2))) | model_ub(sK0,sK1,sK4(sK0,sK1,$sum(c,summation(sK2)))) | ~spl6_291), 29.32/29.76 inference(resolution,[],[f1709,f60])). 29.32/29.76 tff(f1975,plain,( 29.32/29.76 ~model_ub(sK0,sK1,$sum(c,summation(sK2))) | $less(sK4(sK0,sK1,$sum(c,summation(sK2))),$sum(c,summation(sK2))) | ~spl6_291), 29.32/29.76 inference(resolution,[],[f1709,f61])). 29.32/29.76 tff(f1977,plain,( 29.32/29.76 spl6_352 <=> model_ub(sK0,sK1,sK4(sK0,sK1,$sum(c,summation(sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_352])])). 29.32/29.76 tff(f1980,plain,( 29.32/29.76 spl6_355 <=> ~model_ub(sK0,sK1,$sum(c,summation(sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_355])])). 29.32/29.76 tff(f1982,plain,( 29.32/29.76 spl6_352 | ~spl6_355 | spl6_291), 29.32/29.76 inference(avatar_split_clause,[],[f1974,f1708,f1980,f1977])). 29.32/29.76 tff(f1984,plain,( 29.32/29.76 spl6_356 <=> $less(sK4(sK0,sK1,$sum(c,summation(sK2))),$sum(c,summation(sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_356])])). 29.32/29.76 tff(f1986,plain,( 29.32/29.76 spl6_356 | ~spl6_355 | spl6_291), 29.32/29.76 inference(avatar_split_clause,[],[f1975,f1708,f1980,f1984])). 29.32/29.76 tff(f1987,plain,( 29.32/29.76 ~minsol_model_ub(sK0,sK1,$sum(c,summation(summation(sK2)))) | model_max(summation(sK2),summation(sK2),sK4(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_26)), 29.32/29.76 inference(superposition,[],[f792,f167])). 29.32/29.76 tff(f1991,plain,( 29.32/29.76 spl6_358 <=> model_max(summation(sK2),summation(sK2),sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_358])])). 29.32/29.76 tff(f1994,plain,( 29.32/29.76 spl6_361 <=> ~minsol_model_ub(sK0,sK1,$sum(c,summation(summation(sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_361])])). 29.32/29.76 tff(f1996,plain,( 29.32/29.76 spl6_358 | ~spl6_361 | ~spl6_4 | ~spl6_26), 29.32/29.76 inference(avatar_split_clause,[],[f1987,f166,f84,f1994,f1991])). 29.32/29.76 tff(f2000,plain,( 29.32/29.76 ~$less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK1))) | ~spl6_59), 29.32/29.76 inference(resolution,[],[f339,f50])). 29.32/29.76 tff(f2001,plain,( 29.32/29.76 summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation(sK1)) | ~spl6_59), 29.32/29.76 inference(resolution,[],[f339,f48])). 29.32/29.76 tff(f2002,plain,( 29.32/29.76 summation(sK5(sK0,sK1,sK2)) = max(summation(sK1),summation(sK5(sK0,sK1,sK2))) | ~spl6_59), 29.32/29.76 inference(resolution,[],[f339,f47])). 29.32/29.76 tff(f2004,plain,( 29.32/29.76 spl6_363 <=> ~$less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK1)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_363])])). 29.32/29.76 tff(f2006,plain,( 29.32/29.76 ~spl6_363 | spl6_59), 29.32/29.76 inference(avatar_split_clause,[],[f2000,f338,f2004])). 29.32/29.76 tff(f2008,plain,( 29.32/29.76 spl6_364 <=> summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation(sK1))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_364])])). 29.32/29.76 tff(f2010,plain,( 29.32/29.76 spl6_364 | spl6_59), 29.32/29.76 inference(avatar_split_clause,[],[f2001,f338,f2008])). 29.32/29.76 tff(f2012,plain,( 29.32/29.76 spl6_366 <=> summation(sK5(sK0,sK1,sK2)) = max(summation(sK1),summation(sK5(sK0,sK1,sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_366])])). 29.32/29.76 tff(f2014,plain,( 29.32/29.76 spl6_366 | spl6_59), 29.32/29.76 inference(avatar_split_clause,[],[f2002,f338,f2012])). 29.32/29.76 tff(f2023,plain,( 29.32/29.76 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK1))))) | ~spl6_67), 29.32/29.76 inference(resolution,[],[f436,f50])). 29.32/29.76 tff(f2024,plain,( 29.32/29.76 summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK1)))) | ~spl6_67), 29.32/29.76 inference(resolution,[],[f436,f48])). 29.32/29.76 tff(f2025,plain,( 29.32/29.76 summation(sK2) = max(summation($sum(c,summation(sK1))),summation(sK2)) | ~spl6_67), 29.32/29.76 inference(resolution,[],[f436,f47])). 29.32/29.76 tff(f2027,plain,( 29.32/29.76 spl6_369 <=> ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK1)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_369])])). 29.32/29.76 tff(f2029,plain,( 29.32/29.76 ~spl6_369 | spl6_67), 29.32/29.76 inference(avatar_split_clause,[],[f2023,f435,f2027])). 29.32/29.76 tff(f2031,plain,( 29.32/29.76 spl6_370 <=> summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK1))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_370])])). 29.32/29.76 tff(f2033,plain,( 29.32/29.76 spl6_370 | spl6_67), 29.32/29.76 inference(avatar_split_clause,[],[f2024,f435,f2031])). 29.32/29.76 tff(f2035,plain,( 29.32/29.76 spl6_372 <=> summation(sK2) = max(summation($sum(c,summation(sK1))),summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_372])])). 29.32/29.76 tff(f2037,plain,( 29.32/29.76 spl6_372 | spl6_67), 29.32/29.76 inference(avatar_split_clause,[],[f2025,f435,f2035])). 29.32/29.76 tff(f2038,plain,( 29.32/29.76 $sum(c,summation(sK1)) = sK2 | $less($sum(c,summation(sK1)),sK2) | ~spl6_68), 29.32/29.76 inference(superposition,[],[f440,f47])). 29.32/29.76 tff(f2042,plain,( 29.32/29.76 $sum(c,summation(sK1)) = sK2 | $less($sum(c,summation(sK1)),sK2) | ~spl6_68), 29.32/29.76 inference(superposition,[],[f47,f440])). 29.32/29.76 tff(f2044,plain,( 29.32/29.76 spl6_374 <=> $less($sum(c,summation(sK1)),sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_374])])). 29.32/29.76 tff(f2045,plain,( 29.32/29.76 $less($sum(c,summation(sK1)),sK2) | ~spl6_374), 29.32/29.76 inference(avatar_component_clause,[],[f2044])). 29.32/29.76 tff(f2047,plain,( 29.32/29.76 spl6_376 <=> $sum(c,summation(sK1)) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_376])])). 29.32/29.76 tff(f2049,plain,( 29.32/29.76 spl6_374 | spl6_376 | ~spl6_68), 29.32/29.76 inference(avatar_split_clause,[],[f2038,f439,f2047,f2044])). 29.32/29.76 tff(f2050,plain,( 29.32/29.76 spl6_374 | spl6_376 | ~spl6_68), 29.32/29.76 inference(avatar_split_clause,[],[f2042,f439,f2047,f2044])). 29.32/29.76 tff(f2055,plain,( 29.32/29.76 $less(summation($sum(c,summation(sK1))),summation(sK2)) | ~spl6_374), 29.32/29.76 inference(resolution,[],[f2045,f49])). 29.32/29.76 tff(f2057,plain,( 29.32/29.76 spl6_378 <=> $less(summation($sum(c,summation(sK1))),summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_378])])). 29.32/29.76 tff(f2059,plain,( 29.32/29.76 spl6_378 | ~spl6_374), 29.32/29.76 inference(avatar_split_clause,[],[f2055,f2044,f2057])). 29.32/29.76 tff(f2068,plain,( 29.32/29.76 ~$less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK0))) | ~spl6_73), 29.32/29.76 inference(resolution,[],[f458,f50])). 29.32/29.76 tff(f2069,plain,( 29.32/29.76 summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation(sK0)) | ~spl6_73), 29.32/29.76 inference(resolution,[],[f458,f48])). 29.32/29.76 tff(f2070,plain,( 29.32/29.76 summation(sK5(sK0,sK1,sK2)) = max(summation(sK0),summation(sK5(sK0,sK1,sK2))) | ~spl6_73), 29.32/29.76 inference(resolution,[],[f458,f47])). 29.32/29.76 tff(f2072,plain,( 29.32/29.76 spl6_381 <=> ~$less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK0)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_381])])). 29.32/29.76 tff(f2074,plain,( 29.32/29.76 ~spl6_381 | spl6_73), 29.32/29.76 inference(avatar_split_clause,[],[f2068,f457,f2072])). 29.32/29.76 tff(f2076,plain,( 29.32/29.76 spl6_382 <=> summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation(sK0))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_382])])). 29.32/29.76 tff(f2078,plain,( 29.32/29.76 spl6_382 | spl6_73), 29.32/29.76 inference(avatar_split_clause,[],[f2069,f457,f2076])). 29.32/29.76 tff(f2080,plain,( 29.32/29.76 spl6_384 <=> summation(sK5(sK0,sK1,sK2)) = max(summation(sK0),summation(sK5(sK0,sK1,sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_384])])). 29.32/29.76 tff(f2082,plain,( 29.32/29.76 spl6_384 | spl6_73), 29.32/29.76 inference(avatar_split_clause,[],[f2070,f457,f2080])). 29.32/29.76 tff(f2087,plain,( 29.32/29.76 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK0))))) | ~spl6_81), 29.32/29.76 inference(resolution,[],[f536,f50])). 29.32/29.76 tff(f2088,plain,( 29.32/29.76 summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK0)))) | ~spl6_81), 29.32/29.76 inference(resolution,[],[f536,f48])). 29.32/29.76 tff(f2089,plain,( 29.32/29.76 summation(sK2) = max(summation($sum(c,summation(sK0))),summation(sK2)) | ~spl6_81), 29.32/29.76 inference(resolution,[],[f536,f47])). 29.32/29.76 tff(f2091,plain,( 29.32/29.76 spl6_387 <=> ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK0)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_387])])). 29.32/29.76 tff(f2093,plain,( 29.32/29.76 ~spl6_387 | spl6_81), 29.32/29.76 inference(avatar_split_clause,[],[f2087,f535,f2091])). 29.32/29.76 tff(f2095,plain,( 29.32/29.76 spl6_388 <=> summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK0))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_388])])). 29.32/29.76 tff(f2097,plain,( 29.32/29.76 spl6_388 | spl6_81), 29.32/29.76 inference(avatar_split_clause,[],[f2088,f535,f2095])). 29.32/29.76 tff(f2099,plain,( 29.32/29.76 spl6_390 <=> summation(sK2) = max(summation($sum(c,summation(sK0))),summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_390])])). 29.32/29.76 tff(f2101,plain,( 29.32/29.76 spl6_390 | spl6_81), 29.32/29.76 inference(avatar_split_clause,[],[f2089,f535,f2099])). 29.32/29.76 tff(f2102,plain,( 29.32/29.76 $sum(c,summation(sK0)) = sK2 | $less($sum(c,summation(sK0)),sK2) | ~spl6_82), 29.32/29.76 inference(superposition,[],[f540,f47])). 29.32/29.76 tff(f2106,plain,( 29.32/29.76 $sum(c,summation(sK0)) = sK2 | $less($sum(c,summation(sK0)),sK2) | ~spl6_82), 29.32/29.76 inference(superposition,[],[f47,f540])). 29.32/29.76 tff(f2108,plain,( 29.32/29.76 spl6_392 <=> $less($sum(c,summation(sK0)),sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_392])])). 29.32/29.76 tff(f2109,plain,( 29.32/29.76 $less($sum(c,summation(sK0)),sK2) | ~spl6_392), 29.32/29.76 inference(avatar_component_clause,[],[f2108])). 29.32/29.76 tff(f2111,plain,( 29.32/29.76 spl6_394 <=> $sum(c,summation(sK0)) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_394])])). 29.32/29.76 tff(f2113,plain,( 29.32/29.76 spl6_392 | spl6_394 | ~spl6_82), 29.32/29.76 inference(avatar_split_clause,[],[f2102,f539,f2111,f2108])). 29.32/29.76 tff(f2114,plain,( 29.32/29.76 spl6_392 | spl6_394 | ~spl6_82), 29.32/29.76 inference(avatar_split_clause,[],[f2106,f539,f2111,f2108])). 29.32/29.76 tff(f2124,plain,( 29.32/29.76 $less(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2)) | ~spl6_92), 29.32/29.76 inference(resolution,[],[f589,f49])). 29.32/29.76 tff(f2128,plain,( 29.32/29.76 spl6_396 <=> $less(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_396])])). 29.32/29.76 tff(f2130,plain,( 29.32/29.76 spl6_396 | ~spl6_92), 29.32/29.76 inference(avatar_split_clause,[],[f2124,f588,f2128])). 29.32/29.76 tff(f2134,plain,( 29.32/29.76 ~$less(summation(summation(sK2)),summation(summation(sK4(sK0,sK1,sK2)))) | ~spl6_131), 29.32/29.76 inference(resolution,[],[f775,f50])). 29.32/29.76 tff(f2135,plain,( 29.32/29.76 summation(sK2) = max(summation(sK2),summation(sK4(sK0,sK1,sK2))) | ~spl6_131), 29.32/29.76 inference(resolution,[],[f775,f48])). 29.32/29.76 tff(f2136,plain,( 29.32/29.76 summation(sK2) = max(summation(sK4(sK0,sK1,sK2)),summation(sK2)) | ~spl6_131), 29.32/29.76 inference(resolution,[],[f775,f47])). 29.32/29.76 tff(f2138,plain,( 29.32/29.76 spl6_399 <=> ~$less(summation(summation(sK2)),summation(summation(sK4(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_399])])). 29.32/29.76 tff(f2140,plain,( 29.32/29.76 ~spl6_399 | spl6_131), 29.32/29.76 inference(avatar_split_clause,[],[f2134,f774,f2138])). 29.32/29.76 tff(f2142,plain,( 29.32/29.76 spl6_400 <=> summation(sK2) = max(summation(sK2),summation(sK4(sK0,sK1,sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_400])])). 29.32/29.76 tff(f2144,plain,( 29.32/29.76 spl6_400 | spl6_131), 29.32/29.76 inference(avatar_split_clause,[],[f2135,f774,f2142])). 29.32/29.76 tff(f2146,plain,( 29.32/29.76 spl6_402 <=> summation(sK2) = max(summation(sK4(sK0,sK1,sK2)),summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_402])])). 29.32/29.76 tff(f2148,plain,( 29.32/29.76 spl6_402 | spl6_131), 29.32/29.76 inference(avatar_split_clause,[],[f2136,f774,f2146])). 29.32/29.76 tff(f2153,plain,( 29.32/29.76 $less(summation($sum(c,summation(sK0))),summation(sK2)) | ~spl6_392), 29.32/29.76 inference(resolution,[],[f2109,f49])). 29.32/29.76 tff(f2155,plain,( 29.32/29.76 spl6_404 <=> $less(summation($sum(c,summation(sK0))),summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_404])])). 29.32/29.76 tff(f2157,plain,( 29.32/29.76 spl6_404 | ~spl6_392), 29.32/29.76 inference(avatar_split_clause,[],[f2153,f2108,f2155])). 29.32/29.76 tff(f2171,plain,( 29.32/29.76 ~$less(summation(summation(sK2)),summation(summation(sK3(sK0,sK1,sK2)))) | ~spl6_187), 29.32/29.76 inference(resolution,[],[f1016,f50])). 29.32/29.76 tff(f2172,plain,( 29.32/29.76 summation(sK2) = max(summation(sK2),summation(sK3(sK0,sK1,sK2))) | ~spl6_187), 29.32/29.76 inference(resolution,[],[f1016,f48])). 29.32/29.76 tff(f2173,plain,( 29.32/29.76 summation(sK2) = max(summation(sK3(sK0,sK1,sK2)),summation(sK2)) | ~spl6_187), 29.32/29.76 inference(resolution,[],[f1016,f47])). 29.32/29.76 tff(f2175,plain,( 29.32/29.76 spl6_407 <=> ~$less(summation(summation(sK2)),summation(summation(sK3(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_407])])). 29.32/29.76 tff(f2177,plain,( 29.32/29.76 ~spl6_407 | spl6_187), 29.32/29.76 inference(avatar_split_clause,[],[f2171,f1015,f2175])). 29.32/29.76 tff(f2179,plain,( 29.32/29.76 spl6_408 <=> summation(sK2) = max(summation(sK2),summation(sK3(sK0,sK1,sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_408])])). 29.32/29.76 tff(f2181,plain,( 29.32/29.76 spl6_408 | spl6_187), 29.32/29.76 inference(avatar_split_clause,[],[f2172,f1015,f2179])). 29.32/29.76 tff(f2183,plain,( 29.32/29.76 spl6_410 <=> summation(sK2) = max(summation(sK3(sK0,sK1,sK2)),summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_410])])). 29.32/29.76 tff(f2185,plain,( 29.32/29.76 spl6_410 | spl6_187), 29.32/29.76 inference(avatar_split_clause,[],[f2173,f1015,f2183])). 29.32/29.76 tff(f2199,plain,( 29.32/29.76 $less($sum(c,summation(max(sK0,sK1))),$sum(c,summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))) | (~spl6_118 | ~spl6_155)), 29.32/29.76 inference(resolution,[],[f872,f807])). 29.32/29.76 tff(f2204,plain,( 29.32/29.76 ~model_ub(sK0,sK1,$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_155), 29.32/29.76 inference(superposition,[],[f872,f47])). 29.32/29.76 tff(f2205,plain,( 29.32/29.76 $less($sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2)) | (~spl6_118 | ~spl6_155 | ~spl6_324)), 29.32/29.76 inference(forward_demodulation,[],[f2199,f1865])). 29.32/29.76 tff(f2207,plain,( 29.32/29.76 spl6_412 <=> $less($sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_412])])). 29.32/29.76 tff(f2209,plain,( 29.32/29.76 spl6_412 | ~spl6_118 | spl6_155 | ~spl6_324), 29.32/29.76 inference(avatar_split_clause,[],[f2205,f1864,f871,f726,f2207])). 29.32/29.76 tff(f2210,plain,( 29.32/29.76 spl6_38 | ~spl6_347 | spl6_155), 29.32/29.76 inference(avatar_split_clause,[],[f2204,f871,f1954,f205])). 29.32/29.76 tff(f2213,plain,( 29.32/29.76 ~$less(summation(sK2),summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2)))) | ~spl6_257), 29.32/29.76 inference(resolution,[],[f1507,f50])). 29.32/29.76 tff(f2214,plain,( 29.32/29.76 max(sK2,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) = sK2 | ~spl6_257), 29.32/29.76 inference(resolution,[],[f1507,f48])). 29.32/29.76 tff(f2215,plain,( 29.32/29.76 max(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK2) = sK2 | ~spl6_257), 29.32/29.76 inference(resolution,[],[f1507,f47])). 29.32/29.76 tff(f2217,plain,( 29.32/29.76 spl6_415 <=> ~$less(summation(sK2),summation(sK4(sK0,sK1,sK4(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_415])])). 29.32/29.76 tff(f2219,plain,( 29.32/29.76 ~spl6_415 | spl6_257), 29.32/29.76 inference(avatar_split_clause,[],[f2213,f1506,f2217])). 29.32/29.76 tff(f2221,plain,( 29.32/29.76 spl6_416 <=> max(sK2,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_416])])). 29.32/29.76 tff(f2223,plain,( 29.32/29.76 spl6_416 | spl6_257), 29.32/29.76 inference(avatar_split_clause,[],[f2214,f1506,f2221])). 29.32/29.76 tff(f2225,plain,( 29.32/29.76 spl6_418 <=> max(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK2) = sK2), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_418])])). 29.32/29.76 tff(f2227,plain,( 29.32/29.76 spl6_418 | spl6_257), 29.32/29.76 inference(avatar_split_clause,[],[f2215,f1506,f2225])). 29.32/29.76 tff(f2233,plain,( 29.32/29.76 $less(summation(summation(summation(sK0))),summation(summation(summation(sK1)))) | ~spl6_258), 29.32/29.76 inference(resolution,[],[f1517,f49])). 29.32/29.76 tff(f2235,plain,( 29.32/29.76 spl6_420 <=> $less(summation(summation(summation(sK0))),summation(summation(summation(sK1))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_420])])). 29.32/29.76 tff(f2237,plain,( 29.32/29.76 spl6_420 | ~spl6_258), 29.32/29.76 inference(avatar_split_clause,[],[f2233,f1516,f2235])). 29.32/29.76 tff(f2250,plain,( 29.32/29.76 $less(summation(sK4(sK0,sK1,sK2)),$sum(c,summation(sK2))) | ~minsol_model_max(sK2,sK2,summation(sK2)) | (~spl6_22 | ~spl6_114)), 29.32/29.76 inference(resolution,[],[f330,f760])). 29.32/29.76 tff(f2251,plain,( 29.32/29.76 $less(summation(sK3(sK0,sK1,sK2)),$sum(c,summation(sK2))) | ~minsol_model_max(sK2,sK2,summation(sK2)) | (~spl6_22 | ~spl6_170)), 29.32/29.76 inference(resolution,[],[f330,f989])). 29.32/29.76 tff(f2252,plain,( 29.32/29.76 $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK2))) | ~minsol_model_max(sK2,sK2,sK2) | (~spl6_14 | ~spl6_22)), 29.32/29.76 inference(resolution,[],[f330,f928])). 29.32/29.76 tff(f2253,plain,( 29.32/29.76 $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK2))) | ~minsol_model_max(sK2,sK2,sK2) | (~spl6_8 | ~spl6_22)), 29.32/29.76 inference(resolution,[],[f330,f708])). 29.32/29.76 tff(f2254,plain,( 29.32/29.76 $less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),$sum(c,summation(sK2))) | ~minsol_model_max(sK2,sK2,sK4(sK0,sK1,sK2)) | (~spl6_22 | ~spl6_124)), 29.32/29.76 inference(resolution,[],[f330,f825])). 29.32/29.76 tff(f2257,plain,( 29.32/29.76 spl6_423 <=> ~minsol_model_max(sK2,sK2,summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_423])])). 29.32/29.76 tff(f2258,plain,( 29.32/29.76 ~minsol_model_max(sK2,sK2,summation(sK2)) | ~spl6_423), 29.32/29.76 inference(avatar_component_clause,[],[f2257])). 29.32/29.76 tff(f2260,plain,( 29.32/29.76 spl6_424 <=> $less(summation(sK4(sK0,sK1,sK2)),$sum(c,summation(sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_424])])). 29.32/29.76 tff(f2262,plain,( 29.32/29.76 ~spl6_423 | spl6_424 | ~spl6_22 | ~spl6_114), 29.32/29.76 inference(avatar_split_clause,[],[f2250,f713,f151,f2260,f2257])). 29.32/29.76 tff(f2264,plain,( 29.32/29.76 spl6_426 <=> $less(summation(sK3(sK0,sK1,sK2)),$sum(c,summation(sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_426])])). 29.32/29.76 tff(f2266,plain,( 29.32/29.76 ~spl6_423 | spl6_426 | ~spl6_22 | ~spl6_170), 29.32/29.76 inference(avatar_split_clause,[],[f2251,f933,f151,f2264,f2257])). 29.32/29.76 tff(f2268,plain,( 29.32/29.76 spl6_429 <=> ~minsol_model_max(sK2,sK2,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_429])])). 29.32/29.76 tff(f2269,plain,( 29.32/29.76 ~minsol_model_max(sK2,sK2,sK2) | ~spl6_429), 29.32/29.76 inference(avatar_component_clause,[],[f2268])). 29.32/29.76 tff(f2271,plain,( 29.32/29.76 spl6_430 <=> $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_430])])). 29.32/29.76 tff(f2273,plain,( 29.32/29.76 ~spl6_429 | spl6_430 | ~spl6_14 | ~spl6_22), 29.32/29.76 inference(avatar_split_clause,[],[f2252,f151,f110,f2271,f2268])). 29.32/29.76 tff(f2275,plain,( 29.32/29.76 spl6_432 <=> $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_432])])). 29.32/29.76 tff(f2277,plain,( 29.32/29.76 ~spl6_429 | spl6_432 | ~spl6_8 | ~spl6_22), 29.32/29.76 inference(avatar_split_clause,[],[f2253,f151,f91,f2275,f2268])). 29.32/29.76 tff(f2279,plain,( 29.32/29.76 spl6_435 <=> ~minsol_model_max(sK2,sK2,sK4(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_435])])). 29.32/29.76 tff(f2282,plain,( 29.32/29.76 spl6_436 <=> $less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),$sum(c,summation(sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_436])])). 29.32/29.76 tff(f2284,plain,( 29.32/29.76 ~spl6_435 | spl6_436 | ~spl6_22 | ~spl6_124), 29.32/29.76 inference(avatar_split_clause,[],[f2254,f737,f151,f2282,f2279])). 29.32/29.76 tff(f2309,plain,( 29.32/29.76 model_max(sK2,sK2,sK3(sK2,sK2,sK2)) | ~model_max(sK2,sK2,sK2) | ~spl6_429), 29.32/29.76 inference(resolution,[],[f2269,f56])). 29.32/29.76 tff(f2310,plain,( 29.32/29.76 $less(sK3(sK2,sK2,sK2),sK2) | ~model_max(sK2,sK2,sK2) | ~spl6_429), 29.32/29.76 inference(resolution,[],[f2269,f57])). 29.32/29.76 tff(f2312,plain,( 29.32/29.76 spl6_439 <=> ~model_max(sK2,sK2,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_439])])). 29.32/29.76 tff(f2313,plain,( 29.32/29.76 ~model_max(sK2,sK2,sK2) | ~spl6_439), 29.32/29.76 inference(avatar_component_clause,[],[f2312])). 29.32/29.76 tff(f2315,plain,( 29.32/29.76 spl6_440 <=> model_max(sK2,sK2,sK3(sK2,sK2,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_440])])). 29.32/29.76 tff(f2317,plain,( 29.32/29.76 ~spl6_439 | spl6_440 | spl6_429), 29.32/29.76 inference(avatar_split_clause,[],[f2309,f2268,f2315,f2312])). 29.32/29.76 tff(f2319,plain,( 29.32/29.76 spl6_442 <=> $less(sK3(sK2,sK2,sK2),sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_442])])). 29.32/29.76 tff(f2321,plain,( 29.32/29.76 ~spl6_439 | spl6_442 | spl6_429), 29.32/29.76 inference(avatar_split_clause,[],[f2310,f2268,f2319,f2312])). 29.32/29.76 tff(f2376,plain,( 29.32/29.76 $less(sK2,$sum(c,summation(sK2))) | (~spl6_22 | ~spl6_439)), 29.32/29.76 inference(resolution,[],[f2313,f330])). 29.32/29.76 tff(f2377,plain,( 29.32/29.76 $less(sK2,$sum(c,summation(max(sK2,sK2)))) | ~spl6_439), 29.32/29.76 inference(resolution,[],[f2313,f62])). 29.32/29.76 tff(f2380,plain,( 29.32/29.76 spl6_444 <=> $less(sK2,$sum(c,summation(sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_444])])). 29.32/29.76 tff(f2382,plain,( 29.32/29.76 spl6_444 | ~spl6_22 | spl6_439), 29.32/29.76 inference(avatar_split_clause,[],[f2376,f2312,f151,f2380])). 29.32/29.76 tff(f2383,plain,( 29.32/29.76 $less(sK2,$sum(c,summation(sK2))) | (~spl6_22 | ~spl6_439)), 29.32/29.76 inference(forward_demodulation,[],[f2377,f152])). 29.32/29.76 tff(f2384,plain,( 29.32/29.76 spl6_444 | ~spl6_22 | spl6_439), 29.32/29.76 inference(avatar_split_clause,[],[f2383,f2312,f151,f2380])). 29.32/29.76 tff(f2385,plain,( 29.32/29.76 ~model_ub(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2)))) | model_ub(sK0,sK1,sK4(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2))))) | ~spl6_309), 29.32/29.76 inference(resolution,[],[f1760,f60])). 29.32/29.76 tff(f2386,plain,( 29.32/29.76 ~model_ub(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2)))) | $less(sK4(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2)))),$sum(c,summation(sK3(sK0,sK1,sK2)))) | ~spl6_309), 29.32/29.76 inference(resolution,[],[f1760,f61])). 29.32/29.76 tff(f2388,plain,( 29.32/29.76 spl6_446 <=> model_ub(sK0,sK1,sK4(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_446])])). 29.32/29.76 tff(f2391,plain,( 29.32/29.76 spl6_449 <=> ~model_ub(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_449])])). 29.32/29.76 tff(f2393,plain,( 29.32/29.76 spl6_446 | ~spl6_449 | spl6_309), 29.32/29.76 inference(avatar_split_clause,[],[f2385,f1759,f2391,f2388])). 29.32/29.76 tff(f2395,plain,( 29.32/29.76 spl6_450 <=> $less(sK4(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2)))),$sum(c,summation(sK3(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_450])])). 29.32/29.76 tff(f2397,plain,( 29.32/29.76 spl6_450 | ~spl6_449 | spl6_309), 29.32/29.76 inference(avatar_split_clause,[],[f2386,f1759,f2391,f2395])). 29.32/29.76 tff(f2398,plain,( 29.32/29.76 ~model_ub(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2)))) | model_ub(sK0,sK1,sK4(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2))))) | ~spl6_329), 29.32/29.76 inference(resolution,[],[f1872,f60])). 29.32/29.76 tff(f2399,plain,( 29.32/29.76 ~model_ub(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2)))) | $less(sK4(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2)))),$sum(c,summation(sK4(sK0,sK1,sK2)))) | ~spl6_329), 29.32/29.76 inference(resolution,[],[f1872,f61])). 29.32/29.76 tff(f2401,plain,( 29.32/29.76 spl6_452 <=> model_ub(sK0,sK1,sK4(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2)))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_452])])). 29.32/29.76 tff(f2404,plain,( 29.32/29.76 spl6_455 <=> ~model_ub(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_455])])). 29.32/29.76 tff(f2406,plain,( 29.32/29.76 spl6_452 | ~spl6_455 | spl6_329), 29.32/29.76 inference(avatar_split_clause,[],[f2398,f1871,f2404,f2401])). 29.32/29.76 tff(f2408,plain,( 29.32/29.76 spl6_456 <=> $less(sK4(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2)))),$sum(c,summation(sK4(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_456])])). 29.32/29.76 tff(f2410,plain,( 29.32/29.76 spl6_456 | ~spl6_455 | spl6_329), 29.32/29.76 inference(avatar_split_clause,[],[f2399,f1871,f2404,f2408])). 29.32/29.76 tff(f2411,plain,( 29.32/29.76 sK1 = sK5(sK0,sK1,sK2) | $less(sK1,sK5(sK0,sK1,sK2)) | ~spl6_60), 29.32/29.76 inference(superposition,[],[f343,f47])). 29.32/29.76 tff(f2415,plain,( 29.32/29.76 sK1 = sK5(sK0,sK1,sK2) | $less(sK1,sK5(sK0,sK1,sK2)) | ~spl6_60), 29.32/29.76 inference(superposition,[],[f47,f343])). 29.32/29.76 tff(f2417,plain,( 29.32/29.76 spl6_458 <=> $less(sK1,sK5(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_458])])). 29.32/29.76 tff(f2420,plain,( 29.32/29.76 spl6_460 <=> sK1 = sK5(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_460])])). 29.32/29.76 tff(f2422,plain,( 29.32/29.76 spl6_458 | spl6_460 | ~spl6_60), 29.32/29.76 inference(avatar_split_clause,[],[f2411,f342,f2420,f2417])). 29.32/29.76 tff(f2426,plain,( 29.32/29.76 spl6_458 | spl6_460 | ~spl6_60), 29.32/29.76 inference(avatar_split_clause,[],[f2415,f342,f2420,f2417])). 29.32/29.76 tff(f2435,plain,( 29.32/29.76 sK0 = sK5(sK0,sK1,sK2) | $less(sK0,sK5(sK0,sK1,sK2)) | ~spl6_74), 29.32/29.76 inference(superposition,[],[f462,f47])). 29.32/29.76 tff(f2439,plain,( 29.32/29.76 sK0 = sK5(sK0,sK1,sK2) | $less(sK0,sK5(sK0,sK1,sK2)) | ~spl6_74), 29.32/29.76 inference(superposition,[],[f47,f462])). 29.32/29.76 tff(f2441,plain,( 29.32/29.76 spl6_462 <=> $less(sK0,sK5(sK0,sK1,sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_462])])). 29.32/29.76 tff(f2444,plain,( 29.32/29.76 spl6_464 <=> sK0 = sK5(sK0,sK1,sK2)), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_464])])). 29.32/29.76 tff(f2446,plain,( 29.32/29.76 spl6_462 | spl6_464 | ~spl6_74), 29.32/29.76 inference(avatar_split_clause,[],[f2435,f461,f2444,f2441])). 29.32/29.76 tff(f2450,plain,( 29.32/29.76 spl6_462 | spl6_464 | ~spl6_74), 29.32/29.76 inference(avatar_split_clause,[],[f2439,f461,f2444,f2441])). 29.32/29.76 tff(f2462,plain,( 29.32/29.76 ~$less(summation(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),summation(summation(sK1))) | ~spl6_159), 29.32/29.76 inference(resolution,[],[f885,f50])). 29.32/29.76 tff(f2463,plain,( 29.32/29.76 summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = max(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK1)) | ~spl6_159), 29.32/29.76 inference(resolution,[],[f885,f48])). 29.32/29.76 tff(f2464,plain,( 29.32/29.76 summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = max(summation(sK1),summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))) | ~spl6_159), 29.32/29.76 inference(resolution,[],[f885,f47])). 29.32/29.76 tff(f2466,plain,( 29.32/29.76 spl6_467 <=> ~$less(summation(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),summation(summation(sK1)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_467])])). 29.32/29.76 tff(f2468,plain,( 29.32/29.76 ~spl6_467 | spl6_159), 29.32/29.76 inference(avatar_split_clause,[],[f2462,f884,f2466])). 29.32/29.76 tff(f2470,plain,( 29.32/29.76 spl6_468 <=> summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = max(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK1))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_468])])). 29.32/29.76 tff(f2472,plain,( 29.32/29.76 spl6_468 | spl6_159), 29.32/29.76 inference(avatar_split_clause,[],[f2463,f884,f2470])). 29.32/29.76 tff(f2474,plain,( 29.32/29.76 spl6_470 <=> summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = max(summation(sK1),summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_470])])). 29.32/29.76 tff(f2476,plain,( 29.32/29.76 spl6_470 | spl6_159), 29.32/29.76 inference(avatar_split_clause,[],[f2464,f884,f2474])). 29.32/29.76 tff(f2480,plain,( 29.32/29.76 ~$less(summation(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),summation(summation(sK0))) | ~spl6_165), 29.32/29.76 inference(resolution,[],[f902,f50])). 29.32/29.76 tff(f2481,plain,( 29.32/29.76 summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = max(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK0)) | ~spl6_165), 29.32/29.76 inference(resolution,[],[f902,f48])). 29.32/29.76 tff(f2482,plain,( 29.32/29.76 summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = max(summation(sK0),summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))) | ~spl6_165), 29.32/29.76 inference(resolution,[],[f902,f47])). 29.32/29.76 tff(f2484,plain,( 29.32/29.76 spl6_473 <=> ~$less(summation(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2)))),summation(summation(sK0)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_473])])). 29.32/29.76 tff(f2486,plain,( 29.32/29.76 ~spl6_473 | spl6_165), 29.32/29.76 inference(avatar_split_clause,[],[f2480,f901,f2484])). 29.32/29.76 tff(f2488,plain,( 29.32/29.76 spl6_474 <=> summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = max(summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))),summation(sK0))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_474])])). 29.32/29.76 tff(f2490,plain,( 29.32/29.76 spl6_474 | spl6_165), 29.32/29.76 inference(avatar_split_clause,[],[f2481,f901,f2488])). 29.32/29.76 tff(f2492,plain,( 29.32/29.76 spl6_476 <=> summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))) = max(summation(sK0),summation(sK5(sK0,sK1,sK4(sK0,sK1,sK2))))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_476])])). 29.32/29.76 tff(f2494,plain,( 29.32/29.76 spl6_476 | spl6_165), 29.32/29.76 inference(avatar_split_clause,[],[f2482,f901,f2492])). 29.32/29.76 tff(f2495,plain,( 29.32/29.76 model_max(sK2,sK2,sK3(sK2,sK2,summation(sK2))) | ~model_max(sK2,sK2,summation(sK2)) | ~spl6_423), 29.32/29.76 inference(resolution,[],[f2258,f56])). 29.32/29.76 tff(f2496,plain,( 29.32/29.76 $less(sK3(sK2,sK2,summation(sK2)),summation(sK2)) | ~model_max(sK2,sK2,summation(sK2)) | ~spl6_423), 29.32/29.76 inference(resolution,[],[f2258,f57])). 29.32/29.76 tff(f2498,plain,( 29.32/29.76 spl6_479 <=> ~model_max(sK2,sK2,summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_479])])). 29.32/29.76 tff(f2499,plain,( 29.32/29.76 ~model_max(sK2,sK2,summation(sK2)) | ~spl6_479), 29.32/29.76 inference(avatar_component_clause,[],[f2498])). 29.32/29.76 tff(f2501,plain,( 29.32/29.76 spl6_480 <=> model_max(sK2,sK2,sK3(sK2,sK2,summation(sK2)))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_480])])). 29.32/29.76 tff(f2503,plain,( 29.32/29.76 ~spl6_479 | spl6_480 | spl6_423), 29.32/29.76 inference(avatar_split_clause,[],[f2495,f2257,f2501,f2498])). 29.32/29.76 tff(f2505,plain,( 29.32/29.76 spl6_482 <=> $less(sK3(sK2,sK2,summation(sK2)),summation(sK2))), 29.32/29.76 introduced(avatar_definition,[new_symbols(naming,[spl6_482])])). 29.32/29.76 tff(f2507,plain,( 29.32/29.76 ~spl6_479 | spl6_482 | spl6_423), 29.32/29.76 inference(avatar_split_clause,[],[f2496,f2257,f2505,f2498])). 29.32/29.76 tff(f2515,plain,( 29.32/29.76 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) | ~spl6_201), 29.32/29.76 inference(resolution,[],[f1079,f49])). 29.32/29.76 tff(f2518,plain,( 29.32/29.76 ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK0))))) | ~spl6_201), 29.32/29.76 inference(resolution,[],[f1079,f50])). 29.32/29.76 tff(f2519,plain,( 29.32/29.76 summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK0)))) | ~spl6_201), 29.32/29.76 inference(resolution,[],[f1079,f48])). 29.32/29.76 tff(f2520,plain,( 29.32/29.76 summation(sK3(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK0))),summation(sK3(sK0,sK1,sK2))) | ~spl6_201), 29.32/29.77 inference(resolution,[],[f1079,f47])). 29.32/29.77 tff(f2522,plain,( 29.32/29.77 spl6_485 <=> ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK0)))))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_485])])). 29.32/29.77 tff(f2524,plain,( 29.32/29.77 ~spl6_485 | spl6_201), 29.32/29.77 inference(avatar_split_clause,[],[f2518,f1078,f2522])). 29.32/29.77 tff(f2526,plain,( 29.32/29.77 spl6_486 <=> summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK0))))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_486])])). 29.32/29.77 tff(f2528,plain,( 29.32/29.77 spl6_486 | spl6_201), 29.32/29.77 inference(avatar_split_clause,[],[f2519,f1078,f2526])). 29.32/29.77 tff(f2530,plain,( 29.32/29.77 spl6_488 <=> summation(sK3(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK0))),summation(sK3(sK0,sK1,sK2)))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_488])])). 29.32/29.77 tff(f2532,plain,( 29.32/29.77 spl6_488 | spl6_201), 29.32/29.77 inference(avatar_split_clause,[],[f2520,f1078,f2530])). 29.32/29.77 tff(f2541,plain,( 29.32/29.77 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK1))) | ~spl6_237), 29.32/29.77 inference(resolution,[],[f1293,f49])). 29.32/29.77 tff(f2544,plain,( 29.32/29.77 ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK1))))) | ~spl6_237), 29.32/29.77 inference(resolution,[],[f1293,f50])). 29.32/29.77 tff(f2545,plain,( 29.32/29.77 summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK1)))) | ~spl6_237), 29.32/29.77 inference(resolution,[],[f1293,f48])). 29.32/29.77 tff(f2546,plain,( 29.32/29.77 summation(sK3(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK1))),summation(sK3(sK0,sK1,sK2))) | ~spl6_237), 29.32/29.77 inference(resolution,[],[f1293,f47])). 29.32/29.77 tff(f2547,plain,( 29.32/29.77 ~spl6_239 | spl6_237), 29.32/29.77 inference(avatar_split_clause,[],[f2541,f1292,f1296])). 29.32/29.77 tff(f2549,plain,( 29.32/29.77 spl6_491 <=> ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK1)))))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_491])])). 29.32/29.77 tff(f2551,plain,( 29.32/29.77 ~spl6_491 | spl6_237), 29.32/29.77 inference(avatar_split_clause,[],[f2544,f1292,f2549])). 29.32/29.77 tff(f2553,plain,( 29.32/29.77 spl6_492 <=> summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK1))))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_492])])). 29.32/29.77 tff(f2555,plain,( 29.32/29.77 spl6_492 | spl6_237), 29.32/29.77 inference(avatar_split_clause,[],[f2545,f1292,f2553])). 29.32/29.77 tff(f2557,plain,( 29.32/29.77 spl6_494 <=> summation(sK3(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK1))),summation(sK3(sK0,sK1,sK2)))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_494])])). 29.32/29.77 tff(f2559,plain,( 29.32/29.77 spl6_494 | spl6_237), 29.32/29.77 inference(avatar_split_clause,[],[f2546,f1292,f2557])). 29.32/29.77 tff(f2568,plain,( 29.32/29.77 $less(summation(sK2),$sum(c,summation(sK2))) | (~spl6_22 | ~spl6_479)), 29.32/29.77 inference(resolution,[],[f2499,f330])). 29.32/29.77 tff(f2569,plain,( 29.32/29.77 $less(summation(sK2),$sum(c,summation(max(sK2,sK2)))) | ~spl6_479), 29.32/29.77 inference(resolution,[],[f2499,f62])). 29.32/29.77 tff(f2572,plain,( 29.32/29.77 spl6_496 <=> $less(summation(sK2),$sum(c,summation(sK2)))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_496])])). 29.32/29.77 tff(f2574,plain,( 29.32/29.77 spl6_496 | ~spl6_22 | spl6_479), 29.32/29.77 inference(avatar_split_clause,[],[f2568,f2498,f151,f2572])). 29.32/29.77 tff(f2575,plain,( 29.32/29.77 $less(summation(sK2),$sum(c,summation(sK2))) | (~spl6_22 | ~spl6_479)), 29.32/29.77 inference(forward_demodulation,[],[f2569,f152])). 29.32/29.77 tff(f2576,plain,( 29.32/29.77 spl6_496 | ~spl6_22 | spl6_479), 29.32/29.77 inference(avatar_split_clause,[],[f2575,f2498,f151,f2572])). 29.32/29.77 tff(f2578,plain,( 29.32/29.77 ~model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_282), 29.32/29.77 inference(resolution,[],[f1659,f63])). 29.32/29.77 tff(f2583,plain,( 29.32/29.77 $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_282), 29.32/29.77 inference(resolution,[],[f1659,f49])). 29.32/29.77 tff(f2584,plain,( 29.32/29.77 $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_282), 29.32/29.77 inference(superposition,[],[f1659,f48])). 29.32/29.77 tff(f2585,plain,( 29.32/29.77 $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_282), 29.32/29.77 inference(superposition,[],[f1659,f47])). 29.32/29.77 tff(f2587,plain,( 29.32/29.77 spl6_499 <=> ~model_max(sK0,sK1,sK4(sK0,sK1,sK2))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_499])])). 29.32/29.77 tff(f2589,plain,( 29.32/29.77 ~spl6_499 | ~spl6_282), 29.32/29.77 inference(avatar_split_clause,[],[f2578,f1658,f2587])). 29.32/29.77 tff(f2591,plain,( 29.32/29.77 spl6_500 <=> $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1)))))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_500])])). 29.32/29.77 tff(f2593,plain,( 29.32/29.77 spl6_500 | ~spl6_282), 29.32/29.77 inference(avatar_split_clause,[],[f2583,f1658,f2591])). 29.32/29.77 tff(f2595,plain,( 29.32/29.77 spl6_502 <=> $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK1)))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_502])])). 29.32/29.77 tff(f2597,plain,( 29.32/29.77 spl6_38 | spl6_502 | ~spl6_282), 29.32/29.77 inference(avatar_split_clause,[],[f2585,f1658,f2595,f205])). 29.32/29.77 tff(f2603,plain,( 29.32/29.77 spl6_504 <=> $less(sK4(sK0,sK1,sK2),$sum(c,summation(sK0)))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_504])])). 29.32/29.77 tff(f2605,plain,( 29.32/29.77 spl6_34 | spl6_504 | ~spl6_282), 29.32/29.77 inference(avatar_split_clause,[],[f2584,f1658,f2603,f198])). 29.32/29.77 tff(f2607,plain,( 29.32/29.77 spl6_506 <=> ! [X1 : $int,X0 : $int,X2 : $int] : (~minsol_model_max(X0,X1,$sum(c,summation(sK0))) | ~$less(X2,sK2) | ~model_max(X0,X1,X2))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_506])])). 29.32/29.77 tff(f2609,plain,( 29.32/29.77 spl6_34 | spl6_506 | ~spl6_2), 29.32/29.77 inference(avatar_split_clause,[],[f1688,f78,f2607,f198])). 29.32/29.77 tff(f2611,plain,( 29.32/29.77 spl6_508 <=> ! [X1 : $int,X0 : $int,X2 : $int] : (~minsol_model_ub(X0,X1,$sum(c,summation(sK0))) | ~$less(X2,sK2) | ~model_ub(X0,X1,X2))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_508])])). 29.32/29.77 tff(f2613,plain,( 29.32/29.77 spl6_34 | spl6_508 | ~spl6_2), 29.32/29.77 inference(avatar_split_clause,[],[f1684,f78,f2611,f198])). 29.32/29.77 tff(f2615,plain,( 29.32/29.77 spl6_510 <=> ! [X0 : $int] : ($less(summation(X0),summation($sum(c,summation(sK0)))) | ~$less(X0,sK2))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_510])])). 29.32/29.77 tff(f2617,plain,( 29.32/29.77 spl6_34 | spl6_510 | ~spl6_2), 29.32/29.77 inference(avatar_split_clause,[],[f1564,f78,f2615,f198])). 29.32/29.77 tff(f2619,plain,( 29.32/29.77 spl6_512 <=> ! [X1 : $int,X0 : $int] : (~ub($sum(c,summation(sK0)),X0,X1) | ~$less(X1,sK2))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_512])])). 29.32/29.77 tff(f2621,plain,( 29.32/29.77 spl6_34 | spl6_512 | ~spl6_2), 29.32/29.77 inference(avatar_split_clause,[],[f1539,f78,f2619,f198])). 29.32/29.77 tff(f2623,plain,( 29.32/29.77 spl6_514 <=> ! [X1 : $int,X0 : $int] : (~ub(X0,$sum(c,summation(sK0)),X1) | ~$less(X1,sK2))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_514])])). 29.32/29.77 tff(f2625,plain,( 29.32/29.77 spl6_34 | spl6_514 | ~spl6_2), 29.32/29.77 inference(avatar_split_clause,[],[f1531,f78,f2623,f198])). 29.32/29.77 tff(f2626,plain,( 29.32/29.77 spl6_34 | spl6_78 | ~spl6_2), 29.32/29.77 inference(avatar_split_clause,[],[f1448,f78,f516,f198])). 29.32/29.77 tff(f2627,plain,( 29.32/29.77 spl6_34 | spl6_78 | ~spl6_2), 29.32/29.77 inference(avatar_split_clause,[],[f513,f78,f516,f198])). 29.32/29.77 tff(f2628,plain,( 29.32/29.77 ~spl6_199 | spl6_201), 29.32/29.77 inference(avatar_split_clause,[],[f2515,f1078,f1052])). 29.32/29.77 tff(f2630,plain,( 29.32/29.77 spl6_516 <=> ! [X3 : $int,X5 : $int,X4 : $int] : (~minsol_model_max(X3,X4,$sum(c,summation(sK1))) | ~$less(X5,sK2) | ~model_max(X3,X4,X5))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_516])])). 29.32/29.77 tff(f2632,plain,( 29.32/29.77 spl6_38 | spl6_516 | ~spl6_2), 29.32/29.77 inference(avatar_split_clause,[],[f1689,f78,f2630,f205])). 29.32/29.77 tff(f2634,plain,( 29.32/29.77 spl6_518 <=> ! [X3 : $int,X5 : $int,X4 : $int] : (~minsol_model_ub(X3,X4,$sum(c,summation(sK1))) | ~$less(X5,sK2) | ~model_ub(X3,X4,X5))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_518])])). 29.32/29.77 tff(f2636,plain,( 29.32/29.77 spl6_38 | spl6_518 | ~spl6_2), 29.32/29.77 inference(avatar_split_clause,[],[f1685,f78,f2634,f205])). 29.32/29.77 tff(f2638,plain,( 29.32/29.77 spl6_520 <=> ! [X1 : $int] : ($less(summation(X1),summation($sum(c,summation(sK1)))) | ~$less(X1,sK2))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_520])])). 29.32/29.77 tff(f2640,plain,( 29.32/29.77 spl6_38 | spl6_520 | ~spl6_2), 29.32/29.77 inference(avatar_split_clause,[],[f1565,f78,f2638,f205])). 29.32/29.77 tff(f2642,plain,( 29.32/29.77 spl6_522 <=> ! [X3 : $int,X2 : $int] : (~ub($sum(c,summation(sK1)),X2,X3) | ~$less(X3,sK2))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_522])])). 29.32/29.77 tff(f2644,plain,( 29.32/29.77 spl6_38 | spl6_522 | ~spl6_2), 29.32/29.77 inference(avatar_split_clause,[],[f1540,f78,f2642,f205])). 29.32/29.77 tff(f2646,plain,( 29.32/29.77 spl6_524 <=> ! [X3 : $int,X2 : $int] : (~ub(X2,$sum(c,summation(sK1)),X3) | ~$less(X3,sK2))), 29.32/29.77 introduced(avatar_definition,[new_symbols(naming,[spl6_524])])). 29.32/29.77 tff(f2648,plain,( 29.32/29.77 spl6_38 | spl6_524 | ~spl6_2), 29.32/29.77 inference(avatar_split_clause,[],[f1532,f78,f2646,f205])). 29.32/29.77 tff(f2649,plain,( 29.32/29.77 spl6_38 | spl6_244 | ~spl6_2), 29.32/29.77 inference(avatar_split_clause,[],[f1449,f78,f1311,f205])). 29.32/29.77 tff(f2650,plain,( 29.32/29.77 spl6_38 | ~spl6_56), 29.32/29.77 inference(avatar_split_clause,[],[f697,f317,f205])). 29.32/29.77 tff(f2651,plain,( 29.32/29.77 $false), 29.32/29.77 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,f724,f728,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,f943,f950,f954,f966,f967,f986,f996,f1017,f1021,f1025,f1042,f1046,f1050,f1054,f1080,f1084,f1088,f1098,f1117,f1148,f1152,f1153,f1176,f1194,f1198,f1215,f1227,f1231,f1235,f1259,f1275,f1276,f1280,f1287,f1289,f1290,f1294,f1298,f1302,f1306,f1307,f1308,f1309,f1313,f1317,f1318,f1319,f1320,f1321,f1342,f1349,f1351,f1353,f1355,f1424,f1428,f1435,f1439,f1508,f1518,f1572,f1587,f1594,f1598,f1612,f1619,f1632,f1636,f1640,f1647,f1648,f1660,f1669,f1673,f1674,f1681,f1710,f1714,f1718,f1732,f1736,f1747,f1754,f1761,f1762,f1773,f1774,f1775,f1779,f1783,f1821,f1825,f1829,f1833,f1844,f1866,f1873,f1874,f1905,f1909,f1913,f1934,f1938,f1947,f1956,f1960,f1971,f1982,f1986,f1996,f2006,f2010,f2014,f2029,f2033,f2037,f2049,f2050,f2059,f2074,f2078,f2082,f2093,f2097,f2101,f2113,f2114,f2130,f2140,f2144,f2148,f2157,f2177,f2181,f2185,f2209,f2210,f2219,f2223,f2227,f2237,f2262,f2266,f2273,f2277,f2284,f2317,f2321,f2382,f2384,f2393,f2397,f2406,f2410,f2422,f2426,f2446,f2450,f2468,f2472,f2476,f2486,f2490,f2494,f2503,f2507,f2524,f2528,f2532,f2547,f2551,f2555,f2559,f2574,f2576,f2589,f2593,f2597,f2605,f2609,f2613,f2617,f2621,f2625,f2626,f2627,f2628,f2632,f2636,f2640,f2644,f2648,f2649,f2650])). 29.32/29.77 % SZS output end Proof for theBenchmark 29.32/29.77 % ------------------------------ 29.32/29.77 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 29.32/29.77 % Termination reason: Refutation 29.32/29.77 29.32/29.77 % Memory used [KB]: 6396 29.32/29.77 % Time elapsed: 0.341 s 29.32/29.77 % ------------------------------ 29.32/29.77 % ------------------------------ 29.32/29.77 % Success in time 29.521 s 29.73/29.77 EOF