0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.02/0.24 % Computer : n065.star.cs.uiowa.edu 0.02/0.24 % Model : x86_64 x86_64 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.24 % Memory : 32218.625MB 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.24 % CPULimit : 300 0.02/0.24 % DateTime : Sat Jul 14 05:49:40 CDT 2018 0.02/0.24 % CPUTime : 0.02/0.24 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.02/0.24 % remaining time: 6000 next slice time: 12 0.02/0.27 lrs+1011_3:1_av=off:cond=on:irw=on:lma=on:nm=16:nwc=1:stl=30:sos=all:updr=off_11 on theBenchmark 1.38/1.57 % (10925)Time limit reached! 1.38/1.57 % ------------------------------ 1.38/1.57 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.38/1.57 % Termination reason: Time limit 1.38/1.57 % Termination phase: Saturation 1.38/1.57 1.38/1.57 % Memory used [KB]: 5245 1.38/1.57 % Time elapsed: 1.300 s 1.38/1.57 % ------------------------------ 1.38/1.57 % ------------------------------ 1.38/1.57 % remaining time: 5986 next slice time: 4 1.38/1.57 lrs+1002_8_add=large:afp=40000:afq=1.0:amm=off:anc=none:cond=on:gs=on:irw=on:nm=16:newcnf=on:nwc=1:stl=30:sos=on:sp=reverse_arity:updr=off_2 on theBenchmark 1.38/1.57 % Refutation not found, incomplete strategy 1.38/1.57 % ------------------------------ 1.38/1.57 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.38/1.57 % Termination reason: Refutation not found, incomplete strategy 1.38/1.57 1.38/1.57 % Memory used [KB]: 9594 1.38/1.57 % Time elapsed: 0.002 s 1.38/1.57 % ------------------------------ 1.38/1.57 % ------------------------------ 1.38/1.57 % remaining time: 5986 next slice time: 10 1.38/1.58 lrs+10_50_add=large:afp=40000:afq=1.2:amm=sco:anc=none:br=off:cond=on:fsr=off:gsp=input_only:gs=on:irw=on:lma=on:nm=64:nwc=1:stl=30:sos=all:sp=reverse_arity:urr=on_8 on theBenchmark 2.44/2.68 % (10931)Time limit reached! 2.44/2.68 % ------------------------------ 2.44/2.68 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.44/2.68 % Termination reason: Time limit 2.44/2.68 % Termination phase: Saturation 2.44/2.68 2.44/2.68 % Memory used [KB]: 40553 2.44/2.68 % Time elapsed: 1.100 s 2.44/2.68 % ------------------------------ 2.44/2.68 % ------------------------------ 2.44/2.68 % remaining time: 5975 next slice time: 7 2.44/2.68 dis+1002_3:1_acc=model:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_5 on theBenchmark 3.27/3.48 % (10936)Time limit reached! 3.27/3.48 % ------------------------------ 3.27/3.48 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 3.27/3.48 % Termination reason: Time limit 3.27/3.48 % Termination phase: Saturation 3.27/3.48 3.27/3.48 % Memory used [KB]: 16886 3.27/3.48 % Time elapsed: 0.800 s 3.27/3.48 % ------------------------------ 3.27/3.48 % ------------------------------ 3.27/3.48 % remaining time: 5967 next slice time: 38 3.30/3.49 ott+11_8_amm=off:anc=none:bsr=on:cond=on:irw=on:nm=2:nwc=1.1:ss=axioms:st=2.0:sac=on_36 on theBenchmark 7.22/7.38 % (10937)Time limit reached! 7.22/7.38 % ------------------------------ 7.22/7.38 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 7.22/7.38 % Termination reason: Time limit 7.22/7.38 % Termination phase: Saturation 7.22/7.38 7.22/7.38 % Memory used [KB]: 21620 7.22/7.38 % Time elapsed: 3.900 s 7.22/7.38 % ------------------------------ 7.22/7.38 % ------------------------------ 7.22/7.39 % remaining time: 5928 next slice time: 47 7.22/7.39 ott+1_128_add=large:afr=on:amm=sco:anc=none:cond=on:fsr=off:gsp=input_only:gs=on:irw=on:lcm=reverse:lma=on:nm=64:nwc=1.1:nicw=on:sas=z3:sac=on:sp=reverse_arity_44 on theBenchmark 11.99/12.19 % (10948)Time limit reached! 11.99/12.19 % ------------------------------ 11.99/12.19 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 11.99/12.19 % Termination reason: Time limit 11.99/12.19 % Termination phase: Saturation 11.99/12.19 11.99/12.19 % Memory used [KB]: 30575 11.99/12.19 % Time elapsed: 4.800 s 11.99/12.19 % ------------------------------ 11.99/12.19 % ------------------------------ 11.99/12.19 % remaining time: 5880 next slice time: 3 12.04/12.19 ott+11_128_afp=4000:afq=1.1:anc=none:bs=unit_only:cond=on:gsp=input_only:lma=on:nm=4:nwc=1.5:sos=theory:sp=occurrence:updr=off_1 on theBenchmark 12.05/12.59 % (10958)Time limit reached! 12.05/12.59 % ------------------------------ 12.05/12.59 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 12.05/12.59 % Termination reason: Time limit 12.05/12.59 % Termination phase: Saturation 12.05/12.59 12.05/12.59 % Memory used [KB]: 9466 12.05/12.59 % Time elapsed: 0.400 s 12.05/12.59 % ------------------------------ 12.05/12.59 % ------------------------------ 12.05/12.59 % remaining time: 5876 next slice time: 9 12.05/12.60 lrs+1010_2:1_aac=none:afr=on:afp=10000:afq=1.4:amm=sco:anc=none:gs=on:gsem=off:irw=on:nm=16:nwc=3:stl=30_7 on theBenchmark 13.42/13.60 % (10959)Time limit reached! 13.42/13.60 % ------------------------------ 13.42/13.60 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 13.42/13.60 % Termination reason: Time limit 13.42/13.60 % Termination phase: Saturation 13.42/13.60 13.42/13.60 % Memory used [KB]: 17142 13.42/13.60 % Time elapsed: 1.0000 s 13.42/13.60 % ------------------------------ 13.42/13.60 % ------------------------------ 13.42/13.60 % remaining time: 5866 next slice time: 40 13.42/13.60 lrs+1011_10_aac=none:acc=model:add=large:afp=40000:afq=2.0:anc=none:bd=off:bsr=on:fsr=off:gs=on:gsem=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=3:nicw=on:stl=30_38 on theBenchmark 17.53/17.70 % (10960)Time limit reached! 17.53/17.70 % ------------------------------ 17.53/17.70 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 17.53/17.70 % Termination reason: Time limit 17.53/17.70 % Termination phase: Saturation 17.53/17.70 17.53/17.70 % Memory used [KB]: 42984 17.53/17.70 % Time elapsed: 4.100 s 17.53/17.70 % ------------------------------ 17.53/17.70 % ------------------------------ 17.53/17.70 % remaining time: 5825 next slice time: 4 17.53/17.71 lrs+4_4:1_acc=on:afr=on:afp=100000:afq=1.1:amm=sco:anc=none:ccuc=first:cond=on:fsr=off:irw=on:lcm=predicate:lma=on:nm=64:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=all_2 on theBenchmark 18.05/18.20 % (10965)Time limit reached! 18.05/18.20 % ------------------------------ 18.05/18.20 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 18.05/18.20 % Termination reason: Time limit 18.05/18.20 % Termination phase: Saturation 18.05/18.20 18.05/18.20 % Memory used [KB]: 9466 18.05/18.20 % Time elapsed: 0.500 s 18.05/18.20 % ------------------------------ 18.05/18.20 % ------------------------------ 18.05/18.20 % remaining time: 5820 next slice time: 4 18.05/18.21 lrs+1011_5:4_acc=on:add=large:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_2 on theBenchmark 18.54/18.71 % (10966)Time limit reached! 18.54/18.71 % ------------------------------ 18.54/18.71 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 18.54/18.71 % Termination reason: Time limit 18.54/18.71 % Termination phase: Saturation 18.54/18.71 18.54/18.71 % Memory used [KB]: 17270 18.54/18.71 % Time elapsed: 0.500 s 18.54/18.71 % ------------------------------ 18.54/18.71 % ------------------------------ 18.54/18.71 % remaining time: 5815 next slice time: 10 18.54/18.71 lrs+1011_3:1_add=off:afr=on:afp=10000:afq=1.1:amm=off:bce=on:cond=on:ep=R:fsr=off:nm=16:nwc=1:stl=30:sos=all:sp=reverse_arity:updr=off_9 on theBenchmark 19.69/19.81 % (10968)Time limit reached! 19.69/19.81 % ------------------------------ 19.69/19.81 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 19.69/19.81 % Termination reason: Time limit 19.69/19.81 % Termination phase: Saturation 19.69/19.81 19.69/19.81 % Memory used [KB]: 16375 19.69/19.81 % Time elapsed: 1.100 s 19.69/19.81 % ------------------------------ 19.69/19.81 % ------------------------------ 19.69/19.81 % remaining time: 5804 next slice time: 93 19.69/19.81 dis+1011_5:4_acc=model:afr=on:afp=10000:afq=1.4:amm=off:anc=none:bd=off:ccuc=small_ones:cond=fast:fde=unused:gs=on:nm=2:newcnf=on:nwc=1:nicw=on:sos=on:sac=on:sp=occurrence:updr=off_88 on theBenchmark 29.10/29.21 % (10976)Time limit reached! 29.10/29.21 % ------------------------------ 29.10/29.21 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 29.10/29.21 % Termination reason: Time limit 29.10/29.21 % Termination phase: Saturation 29.10/29.21 29.10/29.21 % Memory used [KB]: 89678 29.10/29.21 % Time elapsed: 9.400 s 29.10/29.21 % ------------------------------ 29.10/29.21 % ------------------------------ 29.10/29.22 % remaining time: 5710 next slice time: 136 29.10/29.22 lrs+11_1024_afr=on:afp=40000:afq=2.0:anc=none:br=off:ep=RSTC:gs=on:nm=16:nwc=1:stl=30:sp=occurrence:urr=on_129 on theBenchmark 42.90/42.92 % (10995)Time limit reached! 42.90/42.92 % ------------------------------ 42.90/42.92 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 42.90/42.92 % Termination reason: Time limit 42.90/42.92 % Termination phase: Saturation 42.90/42.92 42.90/42.92 % Memory used [KB]: 210316 42.90/42.92 % Time elapsed: 13.700 s 42.90/42.92 % ------------------------------ 42.90/42.92 % ------------------------------ 42.90/42.94 % remaining time: 5573 next slice time: 86 42.90/42.94 lrs+1_7_av=off:irw=on:lcm=predicate:lma=on:nm=4:newcnf=on:nwc=1:stl=30:sos=all:sp=occurrence:updr=off_81 on theBenchmark 42.90/42.94 % Refutation not found, incomplete strategy 42.90/42.94 % ------------------------------ 42.90/42.94 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 42.90/42.94 % Termination reason: Refutation not found, incomplete strategy 42.90/42.94 42.90/42.94 % Memory used [KB]: 1023 42.90/42.94 % Time elapsed: 0.002 s 42.90/42.94 % ------------------------------ 42.90/42.94 % ------------------------------ 42.90/42.94 % remaining time: 5573 next slice time: 88 42.90/42.94 lrs+1002_16_av=off:cond=on:nwc=3:stl=30_83 on theBenchmark 51.86/51.84 % (11130)Time limit reached! 51.86/51.84 % ------------------------------ 51.86/51.84 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 51.86/51.84 % Termination reason: Time limit 51.86/51.84 % Termination phase: Saturation 51.86/51.84 51.86/51.84 % Memory used [KB]: 12281 51.86/51.84 % Time elapsed: 8.900 s 51.86/51.84 % ------------------------------ 51.86/51.84 % ------------------------------ 51.87/51.84 % remaining time: 5484 next slice time: 190 51.87/51.85 ott+1_8:1_av=off:bd=preordered:bsr=on:lma=on:nm=64:newcnf=on:nwc=1.2:uhcvi=on_180 on theBenchmark 71.00/70.94 % (11144)Time limit reached! 71.00/70.94 % ------------------------------ 71.00/70.94 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 71.00/70.94 % Termination reason: Time limit 71.00/70.94 % Termination phase: Saturation 71.00/70.94 71.00/70.94 % Memory used [KB]: 28016 71.00/70.94 % Time elapsed: 19.100 s 71.00/70.94 % ------------------------------ 71.00/70.94 % ------------------------------ 71.00/70.95 % remaining time: 5293 next slice time: 48 71.08/70.95 ott+1002_7_acc=on:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bs=unit_only:gsp=input_only:gs=on:nm=2:nwc=10:sos=theory:sp=reverse_arity:urr=on:updr=off_45 on theBenchmark 76.01/75.85 % (11791)Time limit reached! 76.01/75.85 % ------------------------------ 76.01/75.85 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 76.01/75.85 % Termination reason: Time limit 76.01/75.85 % Termination phase: Saturation 76.01/75.85 76.01/75.85 % Memory used [KB]: 64476 76.01/75.85 % Time elapsed: 4.900 s 76.01/75.85 % ------------------------------ 76.01/75.85 % ------------------------------ 76.01/75.85 % remaining time: 5243 next slice time: 13 76.01/75.86 lrs+1011_5_afr=on:afp=100000:afq=1.0:amm=off:anc=none:cond=on:lma=on:nm=6:nwc=1:sas=z3:stl=30:sac=on:urr=on_12 on theBenchmark 77.40/77.26 % (12074)Time limit reached! 77.40/77.26 % ------------------------------ 77.40/77.26 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 77.40/77.26 % Termination reason: Time limit 77.40/77.26 % Termination phase: Saturation 77.40/77.26 77.40/77.26 % Memory used [KB]: 12920 77.40/77.26 % Time elapsed: 1.400 s 77.40/77.26 % ------------------------------ 77.40/77.26 % ------------------------------ 77.40/77.26 % remaining time: 5229 next slice time: 178 77.40/77.26 dis+11_3_add=off:afr=on:afp=40000:afq=2.0:amm=sco:anc=none:cond=on:nm=16:nwc=1:ss=axioms:st=5.0:sos=all:sp=reverse_arity_169 on theBenchmark 83.07/82.91 % Refutation found. Thanks to Tanya! 83.07/82.91 % SZS status Theorem for theBenchmark 83.07/82.91 % SZS output start Proof for theBenchmark 83.07/82.92 fof(f1,axiom,( 83.07/82.92 ! [X0,X1,X2] : (model_max(X0,X1,X2) <=> lesseq(sum(c,summation(max(X0,X1))),X2))), 83.07/82.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_max_5)). 83.07/82.92 fof(f2,axiom,( 83.07/82.92 ! [X0,X1,X3] : (lesseq(sum(X3,X0),sum(X3,X1)) <=> lesseq(X0,X1))), 83.07/82.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_monotone_1)). 83.07/82.92 fof(f3,axiom,( 83.07/82.92 ! [X0,X1] : (lesseq(summation(X0),summation(X1)) <=> lesseq(X0,X1))), 83.07/82.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',summation_monotone)). 83.07/82.92 fof(f4,axiom,( 83.07/82.92 ! [X0,X1] : (~lesseq(X0,X1) | max(X0,X1) = X1)), 83.07/82.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_2)). 83.07/82.92 fof(f5,axiom,( 83.07/82.92 ! [X0] : lesseq(X0,X0)), 83.07/82.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_ref)). 83.07/82.92 fof(f6,axiom,( 83.07/82.92 ! [X0,X1,X3] : (ub(X0,X1,X3) <=> (lesseq(X0,X3) & lesseq(X1,X3)))), 83.07/82.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ub)). 83.07/82.92 fof(f7,axiom,( 83.07/82.92 ! [X0,X1] : (max(X0,X1) = X0 | ~lesseq(X1,X0))), 83.07/82.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_1)). 83.07/82.92 fof(f8,conjecture,( 83.07/82.92 ! [X0,X1,X3] : (minsol_model_max(X0,X1,X3) <=> minsol_model_ub(X0,X1,X3))), 83.07/82.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_is_ub_1)). 83.07/82.92 fof(f9,negated_conjecture,( 83.07/82.92 ~! [X0,X1,X3] : (minsol_model_max(X0,X1,X3) <=> minsol_model_ub(X0,X1,X3))), 83.07/82.92 inference(negated_conjecture,[],[f8])). 83.07/82.92 fof(f10,axiom,( 83.07/82.92 ! [X0,X1] : (lesseq(X0,X1) | lesseq(X1,X0))), 83.07/82.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_total)). 83.07/82.92 fof(f11,axiom,( 83.07/82.92 ! [X0,X1,X3] : ((lesseq(X1,X3) & lesseq(X0,X1)) => lesseq(X0,X3))), 83.07/82.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_trans)). 83.07/82.92 fof(f12,axiom,( 83.07/82.92 ! [X0,X1,X2] : (model_ub(X0,X1,X2) <=> ? [X3] : (lesseq(sum(c,summation(X3)),X2) & ub(X0,X1,X3)))), 83.07/82.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_ub_5)). 83.07/82.92 fof(f13,axiom,( 83.07/82.92 ! [X0,X1] : ((lesseq(X0,X1) & lesseq(X1,X0)) => X0 = X1)), 83.07/82.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_antisymmetric)). 83.07/82.92 fof(f14,axiom,( 83.07/82.92 ! [X0,X1,X2] : (minsol_model_max(X0,X1,X2) <=> (! [X3] : (model_max(X0,X1,X3) => lesseq(X2,X3)) & model_max(X0,X1,X2)))), 83.07/82.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_max)). 83.07/82.92 fof(f15,axiom,( 83.07/82.92 ! [X0,X1,X2] : ((! [X3] : (model_ub(X0,X1,X3) => lesseq(X2,X3)) & model_ub(X0,X1,X2)) <=> minsol_model_ub(X0,X1,X2))), 83.07/82.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_ub)). 83.07/82.92 fof(f16,plain,( 83.07/82.92 ~! [X0,X1,X2] : (minsol_model_max(X0,X1,X2) <=> minsol_model_ub(X0,X1,X2))), 83.07/82.92 inference(rectify,[],[f9])). 83.07/82.92 fof(f17,plain,( 83.07/82.92 ! [X0,X1,X2] : (lesseq(sum(X2,X0),sum(X2,X1)) <=> lesseq(X0,X1))), 83.07/82.92 inference(rectify,[],[f2])). 83.07/82.92 fof(f18,plain,( 83.07/82.92 ! [X0,X1,X2] : ((lesseq(X1,X2) & lesseq(X0,X1)) => lesseq(X0,X2))), 83.07/82.92 inference(rectify,[],[f11])). 83.07/82.92 fof(f19,plain,( 83.07/82.92 ! [X0,X1,X2] : (ub(X0,X1,X2) <=> (lesseq(X0,X2) & lesseq(X1,X2)))), 83.07/82.92 inference(rectify,[],[f6])). 83.07/82.92 fof(f20,plain,( 83.07/82.92 ? [X0,X1,X2] : (minsol_model_max(X0,X1,X2) <~> minsol_model_ub(X0,X1,X2))), 83.07/82.92 inference(ennf_transformation,[],[f16])). 83.07/82.92 fof(f21,plain,( 83.07/82.92 ! [X0,X1,X2] : ((! [X3] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3)) & model_ub(X0,X1,X2)) <=> minsol_model_ub(X0,X1,X2))), 83.07/82.92 inference(ennf_transformation,[],[f15])). 83.07/82.92 fof(f22,plain,( 83.07/82.92 ! [X0,X1,X2] : (minsol_model_max(X0,X1,X2) <=> (! [X3] : (lesseq(X2,X3) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)))), 83.07/82.92 inference(ennf_transformation,[],[f14])). 83.07/82.92 fof(f23,plain,( 83.07/82.92 ! [X0,X1,X2] : (lesseq(X0,X2) | (~lesseq(X1,X2) | ~lesseq(X0,X1)))), 83.07/82.92 inference(ennf_transformation,[],[f18])). 83.07/82.92 fof(f24,plain,( 83.07/82.92 ! [X0,X1,X2] : (lesseq(X0,X2) | ~lesseq(X1,X2) | ~lesseq(X0,X1))), 83.07/82.92 inference(flattening,[],[f23])). 83.07/82.92 fof(f25,plain,( 83.07/82.92 ! [X0,X1] : (X0 = X1 | (~lesseq(X0,X1) | ~lesseq(X1,X0)))), 83.07/82.92 inference(ennf_transformation,[],[f13])). 83.07/82.92 fof(f26,plain,( 83.07/82.92 ! [X0,X1] : (X0 = X1 | ~lesseq(X0,X1) | ~lesseq(X1,X0))), 83.07/82.92 inference(flattening,[],[f25])). 83.07/82.92 fof(f27,plain,( 83.07/82.92 ? [X0,X1,X2] : ((~minsol_model_ub(X0,X1,X2) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | minsol_model_max(X0,X1,X2)))), 83.07/82.92 inference(nnf_transformation,[],[f20])). 83.07/82.92 fof(f28,plain,( 83.07/82.92 ? [X0,X1,X2] : ((~minsol_model_ub(X0,X1,X2) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | minsol_model_max(X0,X1,X2))) => ((~minsol_model_ub(sK0,sK1,sK2) | ~minsol_model_max(sK0,sK1,sK2)) & (minsol_model_ub(sK0,sK1,sK2) | minsol_model_max(sK0,sK1,sK2)))), 83.07/82.92 introduced(choice_axiom,[])). 83.07/82.92 fof(f29,plain,( 83.07/82.92 (~minsol_model_ub(sK0,sK1,sK2) | ~minsol_model_max(sK0,sK1,sK2)) & (minsol_model_ub(sK0,sK1,sK2) | minsol_model_max(sK0,sK1,sK2))), 83.07/82.92 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f28])). 83.07/82.92 fof(f30,plain,( 83.07/82.92 ! [X0,X1,X2] : (((! [X3] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3)) & model_ub(X0,X1,X2)) | ~minsol_model_ub(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | (? [X3] : (~lesseq(X2,X3) & model_ub(X0,X1,X3)) | ~model_ub(X0,X1,X2))))), 83.07/82.92 inference(nnf_transformation,[],[f21])). 83.07/82.92 fof(f31,plain,( 83.07/82.92 ! [X0,X1,X2] : (((! [X3] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3)) & model_ub(X0,X1,X2)) | ~minsol_model_ub(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | ? [X3] : (~lesseq(X2,X3) & model_ub(X0,X1,X3)) | ~model_ub(X0,X1,X2)))), 83.07/82.92 inference(flattening,[],[f30])). 83.07/82.92 fof(f32,plain,( 83.07/82.92 ! [X0,X1,X2] : (((! [X3] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3)) & model_ub(X0,X1,X2)) | ~minsol_model_ub(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | ? [X4] : (~lesseq(X2,X4) & model_ub(X0,X1,X4)) | ~model_ub(X0,X1,X2)))), 83.07/82.92 inference(rectify,[],[f31])). 83.07/82.92 fof(f33,plain,( 83.07/82.92 ! [X2,X1,X0] : (? [X4] : (~lesseq(X2,X4) & model_ub(X0,X1,X4)) => (~lesseq(X2,sK3(X0,X1,X2)) & model_ub(X0,X1,sK3(X0,X1,X2))))), 83.07/82.92 introduced(choice_axiom,[])). 83.07/82.92 fof(f34,plain,( 83.07/82.92 ! [X0,X1,X2] : (((! [X3] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3)) & model_ub(X0,X1,X2)) | ~minsol_model_ub(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | (~lesseq(X2,sK3(X0,X1,X2)) & model_ub(X0,X1,sK3(X0,X1,X2))) | ~model_ub(X0,X1,X2)))), 83.07/82.92 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f32,f33])). 83.07/82.92 fof(f35,plain,( 83.07/82.92 ! [X0,X1,X2] : ((minsol_model_max(X0,X1,X2) | (? [X3] : (~lesseq(X2,X3) & model_max(X0,X1,X3)) | ~model_max(X0,X1,X2))) & ((! [X3] : (lesseq(X2,X3) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)))), 83.07/82.92 inference(nnf_transformation,[],[f22])). 83.07/82.92 fof(f36,plain,( 83.07/82.92 ! [X0,X1,X2] : ((minsol_model_max(X0,X1,X2) | ? [X3] : (~lesseq(X2,X3) & model_max(X0,X1,X3)) | ~model_max(X0,X1,X2)) & ((! [X3] : (lesseq(X2,X3) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)))), 83.07/82.92 inference(flattening,[],[f35])). 83.07/82.92 fof(f37,plain,( 83.07/82.92 ! [X0,X1,X2] : ((minsol_model_max(X0,X1,X2) | ? [X3] : (~lesseq(X2,X3) & model_max(X0,X1,X3)) | ~model_max(X0,X1,X2)) & ((! [X4] : (lesseq(X2,X4) | ~model_max(X0,X1,X4)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)))), 83.07/82.92 inference(rectify,[],[f36])). 83.07/82.92 fof(f38,plain,( 83.07/82.92 ! [X2,X1,X0] : (? [X3] : (~lesseq(X2,X3) & model_max(X0,X1,X3)) => (~lesseq(X2,sK4(X0,X1,X2)) & model_max(X0,X1,sK4(X0,X1,X2))))), 83.07/82.92 introduced(choice_axiom,[])). 83.07/82.92 fof(f39,plain,( 83.07/82.92 ! [X0,X1,X2] : ((minsol_model_max(X0,X1,X2) | (~lesseq(X2,sK4(X0,X1,X2)) & model_max(X0,X1,sK4(X0,X1,X2))) | ~model_max(X0,X1,X2)) & ((! [X4] : (lesseq(X2,X4) | ~model_max(X0,X1,X4)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)))), 83.07/82.92 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f37,f38])). 83.07/82.92 fof(f40,plain,( 83.07/82.92 ! [X0,X1,X2] : ((lesseq(sum(X2,X0),sum(X2,X1)) | ~lesseq(X0,X1)) & (lesseq(X0,X1) | ~lesseq(sum(X2,X0),sum(X2,X1))))), 83.07/82.92 inference(nnf_transformation,[],[f17])). 83.07/82.92 fof(f41,plain,( 83.07/82.92 ! [X0,X1] : ((lesseq(summation(X0),summation(X1)) | ~lesseq(X0,X1)) & (lesseq(X0,X1) | ~lesseq(summation(X0),summation(X1))))), 83.07/82.92 inference(nnf_transformation,[],[f3])). 83.07/82.92 fof(f42,plain,( 83.07/82.92 ! [X0,X1,X2] : ((model_ub(X0,X1,X2) | ! [X3] : (~lesseq(sum(c,summation(X3)),X2) | ~ub(X0,X1,X3))) & (? [X3] : (lesseq(sum(c,summation(X3)),X2) & ub(X0,X1,X3)) | ~model_ub(X0,X1,X2)))), 83.07/82.92 inference(nnf_transformation,[],[f12])). 83.07/82.92 fof(f43,plain,( 83.07/82.92 ! [X0,X1,X2] : ((model_ub(X0,X1,X2) | ! [X3] : (~lesseq(sum(c,summation(X3)),X2) | ~ub(X0,X1,X3))) & (? [X4] : (lesseq(sum(c,summation(X4)),X2) & ub(X0,X1,X4)) | ~model_ub(X0,X1,X2)))), 83.07/82.92 inference(rectify,[],[f42])). 83.07/82.92 fof(f44,plain,( 83.07/82.92 ! [X2,X1,X0] : (? [X4] : (lesseq(sum(c,summation(X4)),X2) & ub(X0,X1,X4)) => (lesseq(sum(c,summation(sK5(X0,X1,X2))),X2) & ub(X0,X1,sK5(X0,X1,X2))))), 83.07/82.92 introduced(choice_axiom,[])). 83.07/82.92 fof(f45,plain,( 83.07/82.92 ! [X0,X1,X2] : ((model_ub(X0,X1,X2) | ! [X3] : (~lesseq(sum(c,summation(X3)),X2) | ~ub(X0,X1,X3))) & ((lesseq(sum(c,summation(sK5(X0,X1,X2))),X2) & ub(X0,X1,sK5(X0,X1,X2))) | ~model_ub(X0,X1,X2)))), 83.07/82.92 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f43,f44])). 83.07/82.92 fof(f46,plain,( 83.07/82.92 ! [X0,X1,X2] : ((model_max(X0,X1,X2) | ~lesseq(sum(c,summation(max(X0,X1))),X2)) & (lesseq(sum(c,summation(max(X0,X1))),X2) | ~model_max(X0,X1,X2)))), 83.07/82.92 inference(nnf_transformation,[],[f1])). 83.07/82.92 fof(f47,plain,( 83.07/82.92 ! [X0,X1,X2] : ((ub(X0,X1,X2) | (~lesseq(X0,X2) | ~lesseq(X1,X2))) & ((lesseq(X0,X2) & lesseq(X1,X2)) | ~ub(X0,X1,X2)))), 83.07/82.92 inference(nnf_transformation,[],[f19])). 83.07/82.92 fof(f48,plain,( 83.07/82.92 ! [X0,X1,X2] : ((ub(X0,X1,X2) | ~lesseq(X0,X2) | ~lesseq(X1,X2)) & ((lesseq(X0,X2) & lesseq(X1,X2)) | ~ub(X0,X1,X2)))), 83.07/82.92 inference(flattening,[],[f47])). 83.07/82.92 fof(f49,plain,( 83.07/82.92 minsol_model_ub(sK0,sK1,sK2) | minsol_model_max(sK0,sK1,sK2)), 83.07/82.92 inference(cnf_transformation,[],[f29])). 83.07/82.92 fof(f50,plain,( 83.07/82.92 ~minsol_model_ub(sK0,sK1,sK2) | ~minsol_model_max(sK0,sK1,sK2)), 83.07/82.92 inference(cnf_transformation,[],[f29])). 83.07/82.92 fof(f51,plain,( 83.07/82.92 ( ! [X2,X0,X1] : (minsol_model_ub(X0,X1,X2) | model_ub(X0,X1,sK3(X0,X1,X2)) | ~model_ub(X0,X1,X2)) )), 83.07/82.92 inference(cnf_transformation,[],[f34])). 83.07/82.92 fof(f52,plain,( 83.07/82.92 ( ! [X2,X0,X1] : (minsol_model_ub(X0,X1,X2) | ~lesseq(X2,sK3(X0,X1,X2)) | ~model_ub(X0,X1,X2)) )), 83.07/82.92 inference(cnf_transformation,[],[f34])). 83.07/82.92 fof(f53,plain,( 83.07/82.92 ( ! [X2,X0,X1] : (model_ub(X0,X1,X2) | ~minsol_model_ub(X0,X1,X2)) )), 83.07/82.92 inference(cnf_transformation,[],[f34])). 83.07/82.92 fof(f54,plain,( 83.07/82.92 ( ! [X2,X0,X3,X1] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3) | ~minsol_model_ub(X0,X1,X2)) )), 83.07/82.92 inference(cnf_transformation,[],[f34])). 83.07/82.92 fof(f55,plain,( 83.07/82.92 ( ! [X2,X0,X1] : (model_max(X0,X1,X2) | ~minsol_model_max(X0,X1,X2)) )), 83.07/82.92 inference(cnf_transformation,[],[f39])). 83.07/82.92 fof(f56,plain,( 83.07/82.92 ( ! [X4,X2,X0,X1] : (lesseq(X2,X4) | ~model_max(X0,X1,X4) | ~minsol_model_max(X0,X1,X2)) )), 83.07/82.92 inference(cnf_transformation,[],[f39])). 83.07/82.92 fof(f57,plain,( 83.07/82.92 ( ! [X2,X0,X1] : (minsol_model_max(X0,X1,X2) | model_max(X0,X1,sK4(X0,X1,X2)) | ~model_max(X0,X1,X2)) )), 83.07/82.92 inference(cnf_transformation,[],[f39])). 83.07/82.92 fof(f58,plain,( 83.07/82.92 ( ! [X2,X0,X1] : (minsol_model_max(X0,X1,X2) | ~lesseq(X2,sK4(X0,X1,X2)) | ~model_max(X0,X1,X2)) )), 83.07/82.92 inference(cnf_transformation,[],[f39])). 83.07/82.92 fof(f60,plain,( 83.07/82.92 ( ! [X2,X0,X1] : (lesseq(sum(X2,X0),sum(X2,X1)) | ~lesseq(X0,X1)) )), 83.07/82.92 inference(cnf_transformation,[],[f40])). 83.07/82.92 fof(f61,plain,( 83.07/82.92 ( ! [X2,X0,X1] : (lesseq(X0,X2) | ~lesseq(X1,X2) | ~lesseq(X0,X1)) )), 83.07/82.92 inference(cnf_transformation,[],[f24])). 83.07/82.92 fof(f63,plain,( 83.07/82.92 ( ! [X0,X1] : (lesseq(summation(X0),summation(X1)) | ~lesseq(X0,X1)) )), 83.07/82.92 inference(cnf_transformation,[],[f41])). 83.07/82.92 fof(f64,plain,( 83.07/82.92 ( ! [X0,X1] : (X0 = X1 | ~lesseq(X0,X1) | ~lesseq(X1,X0)) )), 83.07/82.92 inference(cnf_transformation,[],[f26])). 83.07/82.92 fof(f65,plain,( 83.07/82.92 ( ! [X0,X1] : (~lesseq(X0,X1) | max(X0,X1) = X1) )), 83.07/82.92 inference(cnf_transformation,[],[f4])). 83.07/82.92 fof(f66,plain,( 83.07/82.92 ( ! [X0,X1] : (lesseq(X0,X1) | lesseq(X1,X0)) )), 83.07/82.92 inference(cnf_transformation,[],[f10])). 83.07/82.92 fof(f67,plain,( 83.07/82.92 ( ! [X0,X1] : (max(X0,X1) = X0 | ~lesseq(X1,X0)) )), 83.07/82.92 inference(cnf_transformation,[],[f7])). 83.07/82.92 fof(f68,plain,( 83.07/82.92 ( ! [X0] : (lesseq(X0,X0)) )), 83.07/82.92 inference(cnf_transformation,[],[f5])). 83.07/82.92 fof(f69,plain,( 83.07/82.92 ( ! [X2,X0,X1] : (ub(X0,X1,sK5(X0,X1,X2)) | ~model_ub(X0,X1,X2)) )), 83.07/82.92 inference(cnf_transformation,[],[f45])). 83.07/82.92 fof(f70,plain,( 83.07/82.92 ( ! [X2,X0,X1] : (lesseq(sum(c,summation(sK5(X0,X1,X2))),X2) | ~model_ub(X0,X1,X2)) )), 83.07/82.92 inference(cnf_transformation,[],[f45])). 83.07/82.92 fof(f71,plain,( 83.07/82.92 ( ! [X2,X0,X3,X1] : (model_ub(X0,X1,X2) | ~lesseq(sum(c,summation(X3)),X2) | ~ub(X0,X1,X3)) )), 83.07/82.92 inference(cnf_transformation,[],[f45])). 83.07/82.92 fof(f72,plain,( 83.07/82.92 ( ! [X2,X0,X1] : (lesseq(sum(c,summation(max(X0,X1))),X2) | ~model_max(X0,X1,X2)) )), 83.07/82.92 inference(cnf_transformation,[],[f46])). 83.07/82.92 fof(f73,plain,( 83.07/82.92 ( ! [X2,X0,X1] : (model_max(X0,X1,X2) | ~lesseq(sum(c,summation(max(X0,X1))),X2)) )), 83.07/82.92 inference(cnf_transformation,[],[f46])). 83.07/82.92 fof(f74,plain,( 83.07/82.92 ( ! [X2,X0,X1] : (lesseq(X1,X2) | ~ub(X0,X1,X2)) )), 83.07/82.92 inference(cnf_transformation,[],[f48])). 83.07/82.92 fof(f75,plain,( 83.07/82.92 ( ! [X2,X0,X1] : (lesseq(X0,X2) | ~ub(X0,X1,X2)) )), 83.07/82.92 inference(cnf_transformation,[],[f48])). 83.07/82.92 fof(f76,plain,( 83.07/82.92 ( ! [X2,X0,X1] : (ub(X0,X1,X2) | ~lesseq(X0,X2) | ~lesseq(X1,X2)) )), 83.07/82.92 inference(cnf_transformation,[],[f48])). 83.07/82.92 fof(f78,plain,( 83.07/82.92 spl6_0 <=> minsol_model_max(sK0,sK1,sK2)), 83.07/82.92 introduced(avatar_definition,[new_symbols(naming,[spl6_0])])). 83.07/82.92 fof(f79,plain,( 83.07/82.92 minsol_model_max(sK0,sK1,sK2) | ~spl6_0), 83.07/82.92 inference(avatar_component_clause,[],[f78])). 83.07/82.92 fof(f81,plain,( 83.07/82.92 spl6_1 <=> ~minsol_model_max(sK0,sK1,sK2)), 83.07/82.92 introduced(avatar_definition,[new_symbols(naming,[spl6_1])])). 83.07/82.92 fof(f82,plain,( 83.07/82.92 ~minsol_model_max(sK0,sK1,sK2) | ~spl6_1), 83.07/82.92 inference(avatar_component_clause,[],[f81])). 83.07/82.92 fof(f84,plain,( 83.07/82.92 spl6_2 <=> minsol_model_ub(sK0,sK1,sK2)), 83.07/82.92 introduced(avatar_definition,[new_symbols(naming,[spl6_2])])). 83.07/82.92 fof(f85,plain,( 83.07/82.92 minsol_model_ub(sK0,sK1,sK2) | ~spl6_2), 83.07/82.92 inference(avatar_component_clause,[],[f84])). 83.07/82.92 fof(f87,plain,( 83.07/82.92 spl6_3 <=> ~minsol_model_ub(sK0,sK1,sK2)), 83.07/82.92 introduced(avatar_definition,[new_symbols(naming,[spl6_3])])). 83.07/82.92 fof(f88,plain,( 83.07/82.92 ~minsol_model_ub(sK0,sK1,sK2) | ~spl6_3), 83.07/82.92 inference(avatar_component_clause,[],[f87])). 83.07/82.92 fof(f89,plain,( 83.07/82.92 ~spl6_1 | ~spl6_3), 83.07/82.92 inference(avatar_split_clause,[],[f50,f87,f81])). 83.07/82.92 fof(f90,plain,( 83.07/82.92 spl6_0 | spl6_2), 83.07/82.92 inference(avatar_split_clause,[],[f49,f84,f78])). 83.07/82.92 fof(f94,plain,( 83.07/82.92 spl6_4 <=> model_max(sK0,sK1,sK2)), 83.07/82.92 introduced(avatar_definition,[new_symbols(naming,[spl6_4])])). 83.07/82.92 fof(f95,plain,( 83.07/82.92 model_max(sK0,sK1,sK2) | ~spl6_4), 83.07/82.92 inference(avatar_component_clause,[],[f94])). 83.07/82.92 fof(f97,plain,( 83.07/82.92 spl6_5 <=> ~model_max(sK0,sK1,sK2)), 83.07/82.92 introduced(avatar_definition,[new_symbols(naming,[spl6_5])])). 83.07/82.92 fof(f98,plain,( 83.07/82.92 ~model_max(sK0,sK1,sK2) | ~spl6_5), 83.07/82.92 inference(avatar_component_clause,[],[f97])). 83.07/82.92 fof(f103,plain,( 83.07/82.92 spl6_6 <=> model_max(sK0,sK1,sK4(sK0,sK1,sK2))), 83.07/82.92 introduced(avatar_definition,[new_symbols(naming,[spl6_6])])). 83.07/82.92 fof(f104,plain,( 83.07/82.92 model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_6), 83.07/82.92 inference(avatar_component_clause,[],[f103])). 83.07/82.92 fof(f107,plain,( 83.07/82.92 spl6_8 <=> lesseq(sK2,sK4(sK0,sK1,sK2))), 83.07/82.92 introduced(avatar_definition,[new_symbols(naming,[spl6_8])])). 83.07/82.92 fof(f108,plain,( 83.07/82.92 lesseq(sK2,sK4(sK0,sK1,sK2)) | ~spl6_8), 83.07/82.92 inference(avatar_component_clause,[],[f107])). 83.07/82.92 fof(f110,plain,( 83.07/82.92 spl6_9 <=> ~lesseq(sK2,sK4(sK0,sK1,sK2))), 83.07/82.92 introduced(avatar_definition,[new_symbols(naming,[spl6_9])])). 83.07/82.92 fof(f111,plain,( 83.07/82.92 ~lesseq(sK2,sK4(sK0,sK1,sK2)) | ~spl6_9), 83.07/82.92 inference(avatar_component_clause,[],[f110])). 83.07/82.92 fof(f113,plain,( 83.07/82.92 model_ub(sK0,sK1,sK2) | ~spl6_2), 83.07/82.92 inference(resolution,[],[f85,f53])). 83.07/82.92 fof(f114,plain,( 83.07/82.92 ( ! [X0] : (~model_ub(sK0,sK1,X0) | lesseq(sK2,X0)) ) | ~spl6_2), 83.07/82.92 inference(resolution,[],[f85,f54])). 83.07/82.92 fof(f115,plain,( 83.07/82.92 ~lesseq(sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_5), 83.07/82.92 inference(resolution,[],[f98,f73])). 83.07/82.92 fof(f117,plain,( 83.07/82.92 ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_2), 83.07/82.92 inference(resolution,[],[f113,f69])). 83.07/82.92 fof(f118,plain,( 83.07/82.92 lesseq(sum(c,summation(sK5(sK0,sK1,sK2))),sK2) | ~spl6_2), 83.07/82.92 inference(resolution,[],[f113,f70])). 83.07/82.92 fof(f123,plain,( 83.07/82.92 ( ! [X0,X1] : (~ub(sK0,sK1,X1) | ~lesseq(sum(c,summation(X1)),X0) | lesseq(sK2,X0)) ) | ~spl6_2), 83.07/82.92 inference(resolution,[],[f114,f71])). 83.07/82.92 fof(f126,plain,( 83.07/82.92 lesseq(sK1,sK5(sK0,sK1,sK2)) | ~spl6_2), 83.07/82.92 inference(resolution,[],[f117,f74])). 83.07/82.92 fof(f127,plain,( 83.07/82.92 lesseq(sK0,sK5(sK0,sK1,sK2)) | ~spl6_2), 83.07/82.92 inference(resolution,[],[f117,f75])). 83.07/82.92 fof(f132,plain,( 83.07/82.92 lesseq(summation(sK1),summation(sK5(sK0,sK1,sK2))) | ~spl6_2), 83.07/82.92 inference(resolution,[],[f126,f63])). 83.07/82.92 fof(f156,plain,( 83.07/82.92 lesseq(summation(sK0),summation(sK5(sK0,sK1,sK2))) | ~spl6_2), 83.07/82.92 inference(resolution,[],[f127,f63])). 83.07/82.92 fof(f216,plain,( 83.07/82.92 spl6_18 <=> lesseq(sK1,sK0)), 83.07/82.92 introduced(avatar_definition,[new_symbols(naming,[spl6_18])])). 83.07/82.92 fof(f217,plain,( 83.07/82.92 lesseq(sK1,sK0) | ~spl6_18), 83.07/82.92 inference(avatar_component_clause,[],[f216])). 83.07/82.92 fof(f219,plain,( 83.07/82.92 spl6_19 <=> ~lesseq(sK1,sK0)), 83.07/82.92 introduced(avatar_definition,[new_symbols(naming,[spl6_19])])). 83.07/82.92 fof(f220,plain,( 83.07/82.92 ~lesseq(sK1,sK0) | ~spl6_19), 83.07/82.92 inference(avatar_component_clause,[],[f219])). 83.07/82.92 fof(f246,plain,( 83.07/82.92 lesseq(sK0,sK1) | ~spl6_19), 83.07/82.92 inference(resolution,[],[f220,f66])). 83.07/82.92 fof(f251,plain,( 83.07/82.92 ( ! [X1] : (~lesseq(sK1,X1) | lesseq(sK0,X1)) ) | ~spl6_19), 83.07/82.92 inference(resolution,[],[f246,f61])). 83.07/82.92 fof(f256,plain,( 83.07/82.92 max(sK0,sK1) = sK1 | ~spl6_19), 83.07/82.92 inference(resolution,[],[f246,f65])). 83.07/82.92 fof(f259,plain,( 83.07/82.92 ( ! [X4] : (ub(sK0,X4,sK1) | ~lesseq(X4,sK1)) ) | ~spl6_19), 83.07/82.92 inference(resolution,[],[f246,f76])). 83.07/82.92 fof(f263,plain,( 83.07/82.92 ( ! [X4] : (~lesseq(X4,sum(c,summation(sK5(sK0,sK1,sK2)))) | lesseq(X4,sK2)) ) | ~spl6_2), 83.07/82.92 inference(resolution,[],[f118,f61])). 83.07/82.92 fof(f301,plain,( 83.07/82.92 ( ! [X4,X3] : (~lesseq(sum(c,summation(X3)),X4) | lesseq(sK2,X4) | ~lesseq(sK0,X3) | ~lesseq(sK1,X3)) ) | ~spl6_2), 83.07/82.92 inference(resolution,[],[f123,f76])). 83.07/82.92 fof(f313,plain,( 83.07/82.92 ~lesseq(sum(c,summation(sK1)),sK2) | (~spl6_5 | ~spl6_19)), 83.07/82.92 inference(backward_demodulation,[],[f256,f115])). 83.07/82.92 fof(f836,plain,( 83.07/82.92 model_max(sK0,sK1,sK2) | ~spl6_0), 83.07/82.92 inference(resolution,[],[f79,f55])). 83.07/82.92 fof(f837,plain,( 83.07/82.92 ( ! [X0] : (~model_max(sK0,sK1,X0) | lesseq(sK2,X0)) ) | ~spl6_0), 83.07/82.92 inference(resolution,[],[f79,f56])). 83.07/82.92 fof(f838,plain,( 83.07/82.92 $false | (~spl6_0 | ~spl6_5)), 83.07/82.92 inference(subsumption_resolution,[],[f836,f98])). 83.07/82.92 fof(f839,plain,( 83.07/82.92 ~spl6_0 | spl6_5), 83.07/82.92 inference(avatar_contradiction_clause,[],[f838])). 83.07/82.92 fof(f846,plain,( 83.07/82.92 spl6_61 <=> ~model_ub(sK0,sK1,sK2)), 83.07/82.92 introduced(avatar_definition,[new_symbols(naming,[spl6_61])])). 83.07/82.92 fof(f847,plain,( 83.07/82.92 ~model_ub(sK0,sK1,sK2) | ~spl6_61), 83.07/82.92 inference(avatar_component_clause,[],[f846])). 83.07/82.92 fof(f852,plain,( 83.07/82.92 spl6_62 <=> model_ub(sK0,sK1,sK3(sK0,sK1,sK2))), 83.07/82.92 introduced(avatar_definition,[new_symbols(naming,[spl6_62])])). 83.07/82.92 fof(f853,plain,( 83.07/82.92 model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_62), 83.07/82.92 inference(avatar_component_clause,[],[f852])). 83.07/82.92 fof(f859,plain,( 83.07/82.92 spl6_65 <=> ~lesseq(sK2,sK3(sK0,sK1,sK2))), 83.07/82.92 introduced(avatar_definition,[new_symbols(naming,[spl6_65])])). 83.07/82.92 fof(f860,plain,( 83.07/82.92 ~lesseq(sK2,sK3(sK0,sK1,sK2)) | ~spl6_65), 83.07/82.92 inference(avatar_component_clause,[],[f859])). 83.07/82.92 fof(f862,plain,( 83.07/82.92 lesseq(sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_0), 83.07/82.92 inference(resolution,[],[f836,f72])). 83.07/82.92 fof(f899,plain,( 83.07/82.92 ( ! [X4,X3] : (~lesseq(sK1,X3) | lesseq(sK2,X4) | ~lesseq(sum(c,summation(X3)),X4)) ) | (~spl6_2 | ~spl6_19)), 83.07/82.92 inference(subsumption_resolution,[],[f301,f251])). 83.07/82.92 fof(f900,plain,( 83.07/82.92 $false | (~spl6_2 | ~spl6_61)), 83.07/82.92 inference(subsumption_resolution,[],[f113,f847])). 83.07/82.92 fof(f901,plain,( 83.07/82.92 ~spl6_2 | spl6_61), 83.07/82.92 inference(avatar_contradiction_clause,[],[f900])). 83.07/82.92 fof(f989,plain,( 83.07/82.92 lesseq(sum(c,summation(max(sK0,sK1))),sK4(sK0,sK1,sK2)) | ~spl6_6), 83.07/82.92 inference(resolution,[],[f104,f72])). 83.07/82.92 fof(f1056,plain,( 83.07/82.92 ( ! [X1] : (lesseq(sK2,X1) | ~lesseq(sum(c,summation(max(sK0,sK1))),X1)) ) | ~spl6_0), 83.07/82.92 inference(resolution,[],[f837,f73])). 83.07/82.92 fof(f1072,plain,( 83.07/82.92 ( ! [X1] : (~lesseq(sK0,X1) | lesseq(sK1,X1)) ) | ~spl6_18), 83.07/82.92 inference(resolution,[],[f217,f61])). 83.07/82.92 fof(f1078,plain,( 83.07/82.92 max(sK0,sK1) = sK0 | ~spl6_18), 83.07/82.92 inference(resolution,[],[f217,f67])). 83.07/82.92 fof(f1249,plain,( 83.07/82.92 lesseq(sum(c,summation(sK0)),sK2) | (~spl6_0 | ~spl6_18)), 83.07/82.92 inference(forward_demodulation,[],[f862,f1078])). 83.07/82.92 fof(f1267,plain,( 83.07/82.92 spl6_93 <=> ~lesseq(sK2,sum(c,summation(sK0)))), 83.07/82.92 introduced(avatar_definition,[new_symbols(naming,[spl6_93])])). 83.07/82.92 fof(f1268,plain,( 83.07/82.92 ~lesseq(sK2,sum(c,summation(sK0))) | ~spl6_93), 83.07/82.92 inference(avatar_component_clause,[],[f1267])). 83.07/82.92 fof(f1273,plain,( 83.07/82.92 spl6_94 <=> sum(c,summation(sK0)) = sK2), 83.07/82.92 introduced(avatar_definition,[new_symbols(naming,[spl6_94])])). 83.07/82.92 fof(f1274,plain,( 83.07/82.92 sum(c,summation(sK0)) = sK2 | ~spl6_94), 83.07/82.92 inference(avatar_component_clause,[],[f1273])). 83.07/82.92 fof(f1583,plain,( 83.07/82.92 ( ! [X1] : (~lesseq(sum(c,summation(sK0)),X1) | lesseq(sK2,X1)) ) | (~spl6_0 | ~spl6_18)), 83.07/82.92 inference(forward_demodulation,[],[f1056,f1078])). 83.07/82.92 fof(f1613,plain,( 83.07/82.92 lesseq(sK2,sum(c,summation(sK0))) | (~spl6_0 | ~spl6_18)), 83.07/82.92 inference(resolution,[],[f1583,f68])). 83.07/82.92 fof(f1615,plain,( 83.07/82.92 $false | (~spl6_0 | ~spl6_18 | ~spl6_93)), 83.07/82.92 inference(subsumption_resolution,[],[f1613,f1268])). 83.07/82.92 fof(f1616,plain,( 83.07/82.92 ~spl6_0 | ~spl6_18 | spl6_93), 83.07/82.92 inference(avatar_contradiction_clause,[],[f1615])). 83.07/82.92 fof(f1635,plain,( 83.07/82.92 ~lesseq(sum(c,summation(sK0)),sK2) | (~spl6_5 | ~spl6_18)), 83.07/82.92 inference(forward_demodulation,[],[f115,f1078])). 83.07/82.92 fof(f1636,plain,( 83.07/82.92 ( ! [X4,X3] : (~lesseq(sK0,X3) | lesseq(sK2,X4) | ~lesseq(sum(c,summation(X3)),X4)) ) | (~spl6_2 | ~spl6_18)), 83.07/82.92 inference(subsumption_resolution,[],[f301,f1072])). 83.07/82.92 fof(f1641,plain,( 83.07/82.92 lesseq(sum(c,summation(sK0)),sK4(sK0,sK1,sK2)) | (~spl6_6 | ~spl6_18)), 83.07/82.92 inference(forward_demodulation,[],[f989,f1078])). 83.07/82.92 fof(f1650,plain,( 83.07/82.92 lesseq(sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_4), 83.07/82.92 inference(resolution,[],[f95,f72])). 83.07/82.92 fof(f1654,plain,( 83.07/82.92 lesseq(sum(c,summation(sK0)),sK2) | (~spl6_4 | ~spl6_18)), 83.07/82.92 inference(forward_demodulation,[],[f1650,f1078])). 83.07/82.92 fof(f1661,plain,( 83.07/82.92 ( ! [X0,X1] : (~ub(X0,X1,sK0) | model_ub(X0,X1,sK2)) ) | (~spl6_4 | ~spl6_18)), 83.07/82.92 inference(resolution,[],[f1654,f71])). 83.07/82.92 fof(f2505,plain,( 83.07/82.92 ( ! [X0,X1] : (model_ub(X0,X1,sK2) | ~lesseq(X0,sK0) | ~lesseq(X1,sK0)) ) | (~spl6_4 | ~spl6_18)), 83.07/82.92 inference(resolution,[],[f1661,f76])). 83.07/82.92 fof(f3722,plain,( 83.07/82.92 ( ! [X17] : (~lesseq(X17,summation(sK5(sK0,sK1,sK2))) | lesseq(sum(c,X17),sK2)) ) | ~spl6_2), 83.07/82.92 inference(resolution,[],[f263,f60])). 83.07/82.92 fof(f3894,plain,( 83.07/82.92 ( ! [X5] : (~lesseq(sum(c,summation(sK0)),X5) | lesseq(sK2,X5)) ) | (~spl6_2 | ~spl6_18)), 83.07/82.92 inference(resolution,[],[f1636,f68])). 83.07/82.92 fof(f7004,plain,( 83.07/82.92 lesseq(sK2,sK4(sK0,sK1,sK2)) | (~spl6_2 | ~spl6_6 | ~spl6_18)), 83.07/82.92 inference(resolution,[],[f3894,f1641])). 83.07/82.92 fof(f7026,plain,( 83.07/82.92 $false | (~spl6_2 | ~spl6_6 | ~spl6_9 | ~spl6_18)), 83.07/82.92 inference(subsumption_resolution,[],[f7004,f111])). 83.07/82.92 fof(f7027,plain,( 83.07/82.92 ~spl6_2 | ~spl6_6 | spl6_9 | ~spl6_18), 83.07/82.92 inference(avatar_contradiction_clause,[],[f7026])). 83.07/82.92 fof(f7590,plain,( 83.07/82.92 lesseq(sum(c,summation(sK1)),sK4(sK0,sK1,sK2)) | (~spl6_6 | ~spl6_19)), 83.07/82.92 inference(backward_demodulation,[],[f256,f989])). 83.07/82.92 fof(f8979,plain,( 83.07/82.92 ( ! [X3] : (~lesseq(sum(c,summation(sK1)),X3) | lesseq(sK2,X3)) ) | (~spl6_2 | ~spl6_19)), 83.07/82.92 inference(resolution,[],[f899,f68])). 83.07/82.92 fof(f21831,plain,( 83.07/82.92 lesseq(sum(c,summation(sK0)),sK2) | ~spl6_2), 83.07/82.92 inference(resolution,[],[f3722,f156])). 83.07/82.92 fof(f21832,plain,( 83.07/82.92 lesseq(sum(c,summation(sK1)),sK2) | ~spl6_2), 83.07/82.92 inference(resolution,[],[f3722,f132])). 83.07/82.92 fof(f21850,plain,( 83.07/82.92 $false | (~spl6_2 | ~spl6_5 | ~spl6_19)), 83.07/82.92 inference(subsumption_resolution,[],[f21832,f313])). 83.07/82.92 fof(f21851,plain,( 83.07/82.92 ~spl6_2 | spl6_5 | spl6_19), 83.07/82.92 inference(avatar_contradiction_clause,[],[f21850])). 83.07/82.92 fof(f21948,plain,( 83.07/82.92 lesseq(sum(c,summation(sK1)),sK2) | (~spl6_4 | ~spl6_19)), 83.07/82.92 inference(forward_demodulation,[],[f1650,f256])). 83.07/82.92 fof(f22062,plain,( 83.07/82.92 ( ! [X0,X1] : (~ub(X0,X1,sK1) | model_ub(X0,X1,sK2)) ) | (~spl6_4 | ~spl6_19)), 83.07/82.92 inference(resolution,[],[f21948,f71])). 83.07/82.92 fof(f22544,plain,( 83.07/82.92 ( ! [X5] : (model_ub(sK0,X5,sK2) | ~lesseq(X5,sK1)) ) | (~spl6_4 | ~spl6_19)), 83.07/82.92 inference(resolution,[],[f22062,f259])). 83.07/82.92 fof(f24535,plain,( 83.07/82.92 ( ! [X1] : (~lesseq(sum(c,summation(sK1)),X1) | lesseq(sK2,X1)) ) | (~spl6_0 | ~spl6_19)), 83.07/82.92 inference(forward_demodulation,[],[f1056,f256])). 83.07/82.92 fof(f24593,plain,( 83.07/82.92 model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~model_ub(sK0,sK1,sK2) | ~spl6_3), 83.07/82.92 inference(resolution,[],[f88,f51])). 83.07/82.92 fof(f24692,plain,( 83.07/82.92 ub(sK0,sK1,sK5(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_62), 83.07/82.92 inference(resolution,[],[f853,f69])). 83.07/82.92 fof(f24693,plain,( 83.07/82.92 lesseq(sum(c,summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2)))),sK3(sK0,sK1,sK2)) | ~spl6_62), 83.07/82.92 inference(resolution,[],[f853,f70])). 83.07/82.92 fof(f24852,plain,( 83.07/82.92 ( ! [X0] : (lesseq(sK2,sum(c,X0)) | ~lesseq(summation(sK1),X0)) ) | (~spl6_0 | ~spl6_19)), 83.07/82.92 inference(resolution,[],[f24535,f60])). 83.07/82.92 fof(f25167,plain,( 83.07/82.92 lesseq(sK1,sK5(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_62), 83.07/82.92 inference(resolution,[],[f24692,f74])). 83.07/82.92 fof(f25168,plain,( 83.07/82.92 lesseq(sK0,sK5(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_62), 83.07/82.92 inference(resolution,[],[f24692,f75])). 83.07/82.92 fof(f25238,plain,( 83.07/82.92 ( ! [X4] : (~lesseq(X4,sum(c,summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2))))) | lesseq(X4,sK3(sK0,sK1,sK2))) ) | ~spl6_62), 83.07/82.92 inference(resolution,[],[f24693,f61])). 83.07/82.92 fof(f25856,plain,( 83.07/82.92 lesseq(summation(sK1),summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~spl6_62), 83.07/82.92 inference(resolution,[],[f25167,f63])). 83.07/82.92 fof(f27936,plain,( 83.07/82.92 lesseq(summation(sK0),summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~spl6_62), 83.07/82.92 inference(resolution,[],[f25168,f63])). 83.07/82.92 fof(f34463,plain,( 83.07/82.92 ( ! [X17] : (~lesseq(X17,summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2)))) | lesseq(sum(c,X17),sK3(sK0,sK1,sK2))) ) | ~spl6_62), 83.07/82.92 inference(resolution,[],[f25238,f60])). 83.07/82.92 fof(f34469,plain,( 83.07/82.92 lesseq(sK2,sK3(sK0,sK1,sK2)) | ~lesseq(summation(sK1),summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2)))) | (~spl6_0 | ~spl6_19 | ~spl6_62)), 83.07/82.92 inference(resolution,[],[f25238,f24852])). 83.07/82.92 fof(f34488,plain,( 83.07/82.92 ~lesseq(summation(sK1),summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2)))) | (~spl6_0 | ~spl6_19 | ~spl6_62 | ~spl6_65)), 83.07/82.92 inference(subsumption_resolution,[],[f34469,f860])). 83.07/82.92 fof(f35154,plain,( 83.07/82.92 ~lesseq(sK1,sK1) | (~spl6_4 | ~spl6_19 | ~spl6_61)), 83.07/82.92 inference(resolution,[],[f847,f22544])). 83.07/82.92 fof(f35157,plain,( 83.07/82.92 $false | (~spl6_4 | ~spl6_19 | ~spl6_61)), 83.07/82.92 inference(subsumption_resolution,[],[f35154,f68])). 83.07/82.92 fof(f35158,plain,( 83.07/82.92 ~spl6_4 | spl6_19 | spl6_61), 83.07/82.92 inference(avatar_contradiction_clause,[],[f35157])). 83.07/82.92 fof(f52407,plain,( 83.07/82.92 $false | (~spl6_0 | ~spl6_19 | ~spl6_62 | ~spl6_65)), 83.07/82.92 inference(subsumption_resolution,[],[f34488,f25856])). 83.07/82.92 fof(f52408,plain,( 83.07/82.92 ~spl6_0 | spl6_19 | ~spl6_62 | spl6_65), 83.07/82.92 inference(avatar_contradiction_clause,[],[f52407])). 83.07/82.92 fof(f56954,plain,( 83.07/82.92 lesseq(sK2,sK4(sK0,sK1,sK2)) | (~spl6_2 | ~spl6_6 | ~spl6_19)), 83.07/82.92 inference(resolution,[],[f8979,f7590])). 83.07/82.92 fof(f56985,plain,( 83.07/82.92 $false | (~spl6_2 | ~spl6_6 | ~spl6_9 | ~spl6_19)), 83.07/82.92 inference(subsumption_resolution,[],[f56954,f111])). 83.07/82.92 fof(f56986,plain,( 83.07/82.92 ~spl6_2 | ~spl6_6 | spl6_9 | spl6_19), 83.07/82.92 inference(avatar_contradiction_clause,[],[f56985])). 83.07/82.92 fof(f58979,plain,( 83.07/82.92 model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~model_max(sK0,sK1,sK2) | ~spl6_1), 83.07/82.92 inference(resolution,[],[f82,f57])). 83.07/82.92 fof(f58981,plain,( 83.07/82.92 ~spl6_5 | spl6_6 | spl6_1), 83.07/82.92 inference(avatar_split_clause,[],[f58979,f81,f103,f97])). 83.07/82.92 fof(f59032,plain,( 83.07/82.92 minsol_model_max(sK0,sK1,sK2) | ~model_max(sK0,sK1,sK2) | ~spl6_8), 83.07/82.92 inference(resolution,[],[f108,f58])). 83.07/82.92 fof(f61498,plain,( 83.07/82.92 $false | (~spl6_2 | ~spl6_5 | ~spl6_18)), 83.07/82.92 inference(subsumption_resolution,[],[f21831,f1635])). 83.07/82.92 fof(f61499,plain,( 83.07/82.92 ~spl6_2 | spl6_5 | ~spl6_18), 83.07/82.92 inference(avatar_contradiction_clause,[],[f61498])). 83.07/82.92 fof(f61537,plain,( 83.07/82.92 ~spl6_5 | spl6_0 | ~spl6_8), 83.07/82.92 inference(avatar_split_clause,[],[f59032,f107,f78,f97])). 83.07/82.92 fof(f61745,plain,( 83.07/82.92 sum(c,summation(sK0)) = sK2 | ~lesseq(sK2,sum(c,summation(sK0))) | (~spl6_0 | ~spl6_18)), 83.07/82.92 inference(resolution,[],[f1249,f64])). 83.07/82.92 fof(f61751,plain,( 83.07/82.92 ~spl6_93 | spl6_94 | ~spl6_0 | ~spl6_18), 83.07/82.92 inference(avatar_split_clause,[],[f61745,f216,f78,f1273,f1267])). 83.07/82.92 fof(f146195,plain,( 83.07/82.92 ~lesseq(sK2,sK3(sK0,sK1,sK2)) | ~model_ub(sK0,sK1,sK2) | ~spl6_3), 83.07/82.92 inference(resolution,[],[f88,f52])). 83.07/82.92 fof(f146197,plain,( 83.07/82.92 ~spl6_61 | ~spl6_65 | spl6_3), 83.07/82.92 inference(avatar_split_clause,[],[f146195,f87,f859,f846])). 83.07/82.92 fof(f179328,plain,( 83.07/82.92 ~spl6_61 | spl6_62 | spl6_3), 83.07/82.92 inference(avatar_split_clause,[],[f24593,f87,f852,f846])). 83.07/82.92 fof(f179332,plain,( 83.07/82.92 ~lesseq(sK0,sK0) | ~lesseq(sK1,sK0) | (~spl6_4 | ~spl6_18 | ~spl6_61)), 83.07/82.92 inference(resolution,[],[f847,f2505])). 83.07/82.92 fof(f179337,plain,( 83.07/82.92 ~lesseq(sK1,sK0) | (~spl6_4 | ~spl6_18 | ~spl6_61)), 83.07/82.92 inference(subsumption_resolution,[],[f179332,f68])). 83.07/82.92 fof(f179338,plain,( 83.07/82.92 $false | (~spl6_4 | ~spl6_18 | ~spl6_61)), 83.07/82.92 inference(subsumption_resolution,[],[f179337,f217])). 83.07/82.92 fof(f179339,plain,( 83.07/82.92 ~spl6_4 | ~spl6_18 | spl6_61), 83.07/82.92 inference(avatar_contradiction_clause,[],[f179338])). 83.07/82.92 fof(f256062,plain,( 83.07/82.92 lesseq(sum(c,summation(sK0)),sK3(sK0,sK1,sK2)) | ~spl6_62), 83.07/82.92 inference(resolution,[],[f34463,f27936])). 83.07/82.92 fof(f256118,plain,( 83.07/82.92 lesseq(sK2,sK3(sK0,sK1,sK2)) | (~spl6_62 | ~spl6_94)), 83.07/82.92 inference(forward_demodulation,[],[f256062,f1274])). 83.07/82.92 fof(f256119,plain,( 83.07/82.92 $false | (~spl6_62 | ~spl6_65 | ~spl6_94)), 83.07/82.92 inference(subsumption_resolution,[],[f256118,f860])). 83.07/82.92 fof(f256120,plain,( 83.07/82.92 ~spl6_62 | spl6_65 | ~spl6_94), 83.07/82.92 inference(avatar_contradiction_clause,[],[f256119])). 83.07/82.92 fof(f256134,plain,( 83.07/82.92 $false), 83.07/82.92 inference(avatar_sat_refutation,[],[f89,f90,f839,f901,f1616,f7027,f21851,f35158,f52408,f56986,f58981,f61499,f61537,f61751,f146197,f179328,f179339,f256120])). 83.07/82.92 % SZS output end Proof for theBenchmark 83.07/82.92 % ------------------------------ 83.07/82.92 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 83.07/82.92 % Termination reason: Refutation 83.07/82.92 83.07/82.92 % Memory used [KB]: 87759 83.07/82.92 % Time elapsed: 5.658 s 83.07/82.92 % ------------------------------ 83.07/82.92 % ------------------------------ 83.07/82.93 % Success in time 82.679 s 83.07/82.93 EOF