0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.02/0.24 % Computer : n007.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 05:48:41 CDT 2018 0.02/0.24 % CPUTime : 0.02/0.28 % ott+1002_2_av=off:bd=preordered:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark 0.57/0.77 % Time limit reached! 0.57/0.77 % ------------------------------ 0.57/0.77 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.57/0.77 % Termination reason: Time limit 0.57/0.77 % Termination phase: Saturation 0.57/0.77 0.57/0.77 % Memory used [KB]: 2942 0.57/0.77 % Time elapsed: 0.500 s 0.57/0.77 % ------------------------------ 0.57/0.77 % ------------------------------ 0.59/0.81 % lrs+1002_1_av=off:er=filter:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark 0.59/0.81 % Refutation not found, incomplete strategy 0.59/0.81 % ------------------------------ 0.59/0.81 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.59/0.81 % Termination reason: Refutation not found, incomplete strategy 0.59/0.81 0.59/0.81 % Memory used [KB]: 5117 0.59/0.81 % Time elapsed: 0.002 s 0.59/0.81 % ------------------------------ 0.59/0.81 % ------------------------------ 0.63/0.85 % lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:bce=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:sas=z3:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 2.42/2.64 % Time limit reached! 2.42/2.64 % ------------------------------ 2.42/2.64 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.42/2.64 % Termination reason: Time limit 2.42/2.64 % Termination phase: Saturation 2.42/2.64 2.42/2.64 % Memory used [KB]: 9083 2.42/2.64 % Time elapsed: 1.800 s 2.42/2.64 % ------------------------------ 2.42/2.64 % ------------------------------ 2.47/2.68 % ott+2_2_afp=10000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark 2.47/2.68 % Refutation not found, incomplete strategy 2.47/2.68 % ------------------------------ 2.47/2.68 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.47/2.68 % Termination reason: Refutation not found, incomplete strategy 2.47/2.68 2.47/2.68 % Memory used [KB]: 9594 2.47/2.68 % Time elapsed: 0.002 s 2.47/2.68 % ------------------------------ 2.47/2.68 % ------------------------------ 2.47/2.72 % 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 3.01/3.22 % Time limit reached! 3.01/3.22 % ------------------------------ 3.01/3.22 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.01/3.22 % Termination reason: Time limit 3.01/3.22 % Termination phase: Saturation 3.01/3.22 3.01/3.22 % Memory used [KB]: 16758 3.01/3.22 % Time elapsed: 0.500 s 3.01/3.22 % ------------------------------ 3.01/3.22 % ------------------------------ 3.04/3.25 % lrs+11_4:1_av=off:bd=off:br=off:cond=fast:fde=unused:irw=on:lcm=reverse:lma=on:lwlo=on:nm=4:nwc=1:stl=60:sd=3:ss=axioms:sos=all:urr=on_2 on theBenchmark 3.04/3.25 % Refutation not found, incomplete strategy 3.04/3.25 % ------------------------------ 3.04/3.25 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.04/3.25 % Termination reason: Refutation not found, incomplete strategy 3.04/3.25 3.04/3.25 % Memory used [KB]: 639 3.04/3.25 % Time elapsed: 0.001 s 3.04/3.25 % ------------------------------ 3.04/3.25 % ------------------------------ 3.04/3.29 % ott+11_20_afr=on:afp=100000:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark 4.07/4.29 % Time limit reached! 4.07/4.29 % ------------------------------ 4.07/4.29 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 4.07/4.29 % Termination reason: Time limit 4.07/4.29 % Termination phase: Saturation 4.07/4.29 4.07/4.29 % Memory used [KB]: 13816 4.07/4.29 % Time elapsed: 1.0000 s 4.07/4.29 % ------------------------------ 4.07/4.29 % ------------------------------ 4.12/4.32 % lrs+10_12_add=off:afp=100000:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_41 on theBenchmark 9.62/9.82 % Time limit reached! 9.62/9.82 % ------------------------------ 9.62/9.82 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 9.62/9.82 % Termination reason: Time limit 9.62/9.82 % Termination phase: Saturation 9.62/9.82 9.62/9.82 % Memory used [KB]: 51427 9.62/9.82 % Time elapsed: 5.500 s 9.62/9.82 % ------------------------------ 9.62/9.82 % ------------------------------ 9.67/9.86 % lrs+1011_5_add=large:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_10 on theBenchmark 11.20/11.36 % Time limit reached! 11.20/11.36 % ------------------------------ 11.20/11.36 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 11.20/11.36 % Termination reason: Time limit 11.20/11.36 % Termination phase: Saturation 11.20/11.36 11.20/11.36 % Memory used [KB]: 35692 11.20/11.36 % Time elapsed: 1.500 s 11.20/11.36 % ------------------------------ 11.20/11.36 % ------------------------------ 11.24/11.40 % dis+10_128_acc=on:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:bce=on:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark 11.24/11.40 % Refutation not found, incomplete strategy 11.24/11.40 % ------------------------------ 11.24/11.40 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 11.24/11.40 % Termination reason: Refutation not found, incomplete strategy 11.24/11.40 11.24/11.40 % Memory used [KB]: 9594 11.24/11.40 % Time elapsed: 0.002 s 11.24/11.40 % ------------------------------ 11.24/11.40 % ------------------------------ 11.24/11.44 % lrs+1011_2:3_add=large:afr=on:afp=100000:afq=1.2:anc=none:gs=on:gsem=off:irw=on:nm=64:nwc=1:stl=30:sd=3:ss=axioms:sos=all:sp=reverse_arity_1 on theBenchmark 11.61/11.76 % Refutation found. Thanks to Tanya! 11.61/11.76 % SZS status Theorem for theBenchmark 11.61/11.76 % SZS output start Proof for theBenchmark 11.61/11.76 fof(f1,conjecture,( 11.61/11.76 ! [X0,X1,X2] : (minsol_model_max(X0,X1,X2) <=> minsol_model_ub(X0,X1,X2))), 11.61/11.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_is_ub_1)). 11.61/11.76 fof(f2,negated_conjecture,( 11.61/11.76 ~! [X0,X1,X2] : (minsol_model_max(X0,X1,X2) <=> minsol_model_ub(X0,X1,X2))), 11.61/11.76 inference(negated_conjecture,[],[f1])). 11.61/11.76 fof(f3,axiom,( 11.61/11.76 ! [X0,X1] : (lesseq(X0,X1) | lesseq(X1,X0))), 11.61/11.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_total)). 11.61/11.76 fof(f4,axiom,( 11.61/11.76 ! [X0,X1,X2] : ((lesseq(X0,X1) & lesseq(X1,X2)) => lesseq(X0,X2))), 11.61/11.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_trans)). 11.61/11.76 fof(f5,axiom,( 11.61/11.76 ! [X0,X1] : (~lesseq(X1,X0) | max(X0,X1) = X0)), 11.61/11.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_1)). 11.61/11.76 fof(f6,axiom,( 11.61/11.76 ! [X0,X1] : (lesseq(summation(X0),summation(X1)) <=> lesseq(X0,X1))), 11.61/11.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',summation_monotone)). 11.61/11.76 fof(f8,axiom,( 11.61/11.76 ! [X0,X1,X3] : (model_ub(X0,X1,X3) <=> ? [X2] : (lesseq(summation(X2),X3) & ub(X0,X1,X2)))), 11.61/11.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_ub_3)). 11.61/11.76 fof(f9,axiom,( 11.61/11.76 ! [X0,X1,X3] : (lesseq(summation(max(X0,X1)),X3) <=> model_max(X0,X1,X3))), 11.61/11.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_max_3)). 11.61/11.76 fof(f10,axiom,( 11.61/11.76 ! [X0,X1,X2] : ((lesseq(X0,X2) & lesseq(X1,X2)) <=> ub(X0,X1,X2))), 11.61/11.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ub)). 11.61/11.76 fof(f11,axiom,( 11.61/11.76 ! [X0,X1,X3] : ((model_ub(X0,X1,X3) & ! [X2] : (model_ub(X0,X1,X2) => lesseq(X3,X2))) <=> minsol_model_ub(X0,X1,X3))), 11.61/11.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_ub)). 11.61/11.76 fof(f13,axiom,( 11.61/11.76 ! [X0,X1] : (~lesseq(X0,X1) | max(X0,X1) = X1)), 11.61/11.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_2)). 11.61/11.76 fof(f14,axiom,( 11.61/11.76 ! [X0,X1,X3] : (minsol_model_max(X0,X1,X3) <=> (model_max(X0,X1,X3) & ! [X2] : (model_max(X0,X1,X2) => lesseq(X3,X2))))), 11.61/11.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_max)). 11.61/11.76 fof(f15,axiom,( 11.61/11.76 ! [X0] : lesseq(X0,X0)), 11.61/11.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_ref)). 11.61/11.76 fof(f16,plain,( 11.61/11.76 ! [X0,X1,X2] : ((model_ub(X0,X1,X2) & ! [X3] : (model_ub(X0,X1,X3) => lesseq(X2,X3))) <=> minsol_model_ub(X0,X1,X2))), 11.61/11.76 inference(rectify,[],[f11])). 11.61/11.76 fof(f17,plain,( 11.61/11.76 ! [X0,X1,X2] : (minsol_model_max(X0,X1,X2) <=> (model_max(X0,X1,X2) & ! [X3] : (model_max(X0,X1,X3) => lesseq(X2,X3))))), 11.61/11.76 inference(rectify,[],[f14])). 11.61/11.76 fof(f18,plain,( 11.61/11.76 ! [X0,X1,X2] : (model_ub(X0,X1,X2) <=> ? [X3] : (lesseq(summation(X3),X2) & ub(X0,X1,X3)))), 11.61/11.76 inference(rectify,[],[f8])). 11.61/11.76 fof(f19,plain,( 11.61/11.76 ! [X0,X1,X2] : (lesseq(summation(max(X0,X1)),X2) <=> model_max(X0,X1,X2))), 11.61/11.76 inference(rectify,[],[f9])). 11.61/11.76 fof(f20,plain,( 11.61/11.76 ? [X0,X1,X2] : (minsol_model_max(X0,X1,X2) <~> minsol_model_ub(X0,X1,X2))), 11.61/11.76 inference(ennf_transformation,[],[f2])). 11.61/11.76 fof(f21,plain,( 11.61/11.76 ! [X0,X1,X2] : ((model_ub(X0,X1,X2) & ! [X3] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3))) <=> minsol_model_ub(X0,X1,X2))), 11.61/11.76 inference(ennf_transformation,[],[f16])). 11.61/11.76 fof(f22,plain,( 11.61/11.76 ! [X0,X1,X2] : (minsol_model_max(X0,X1,X2) <=> (model_max(X0,X1,X2) & ! [X3] : (lesseq(X2,X3) | ~model_max(X0,X1,X3))))), 11.61/11.76 inference(ennf_transformation,[],[f17])). 11.61/11.76 fof(f23,plain,( 11.61/11.76 ! [X0,X1,X2] : (lesseq(X0,X2) | (~lesseq(X0,X1) | ~lesseq(X1,X2)))), 11.61/11.76 inference(ennf_transformation,[],[f4])). 11.61/11.76 fof(f24,plain,( 11.61/11.76 ! [X0,X1,X2] : (lesseq(X0,X2) | ~lesseq(X0,X1) | ~lesseq(X1,X2))), 11.61/11.76 inference(flattening,[],[f23])). 11.61/11.76 fof(f25,plain,( 11.61/11.76 ? [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)))), 11.61/11.76 inference(nnf_transformation,[],[f20])). 11.61/11.76 fof(f26,plain,( 11.61/11.76 ? [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)))), 11.61/11.76 introduced(choice_axiom,[])). 11.61/11.76 fof(f27,plain,( 11.61/11.76 (~minsol_model_ub(sK0,sK1,sK2) | ~minsol_model_max(sK0,sK1,sK2)) & (minsol_model_ub(sK0,sK1,sK2) | minsol_model_max(sK0,sK1,sK2))), 11.61/11.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f25,f26])). 11.61/11.76 fof(f28,plain,( 11.61/11.76 ! [X0,X1,X2] : (((model_ub(X0,X1,X2) & ! [X3] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3))) | ~minsol_model_ub(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | (~model_ub(X0,X1,X2) | ? [X3] : (~lesseq(X2,X3) & model_ub(X0,X1,X3)))))), 11.61/11.76 inference(nnf_transformation,[],[f21])). 11.61/11.76 fof(f29,plain,( 11.61/11.76 ! [X0,X1,X2] : (((model_ub(X0,X1,X2) & ! [X3] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3))) | ~minsol_model_ub(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | ? [X3] : (~lesseq(X2,X3) & model_ub(X0,X1,X3))))), 11.61/11.76 inference(flattening,[],[f28])). 11.61/11.76 fof(f30,plain,( 11.61/11.76 ! [X0,X1,X2] : (((model_ub(X0,X1,X2) & ! [X3] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3))) | ~minsol_model_ub(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | ? [X4] : (~lesseq(X2,X4) & model_ub(X0,X1,X4))))), 11.61/11.76 inference(rectify,[],[f29])). 11.61/11.76 fof(f31,plain,( 11.61/11.76 ! [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))))), 11.61/11.76 introduced(choice_axiom,[])). 11.61/11.76 fof(f32,plain,( 11.61/11.76 ! [X0,X1,X2] : (((model_ub(X0,X1,X2) & ! [X3] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3))) | ~minsol_model_ub(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | (~lesseq(X2,sK3(X0,X1,X2)) & model_ub(X0,X1,sK3(X0,X1,X2)))))), 11.61/11.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f30,f31])). 11.61/11.76 fof(f33,plain,( 11.61/11.76 ! [X0,X1,X2] : ((minsol_model_max(X0,X1,X2) | (~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))) | ~minsol_model_max(X0,X1,X2)))), 11.61/11.76 inference(nnf_transformation,[],[f22])). 11.61/11.76 fof(f34,plain,( 11.61/11.76 ! [X0,X1,X2] : ((minsol_model_max(X0,X1,X2) | ~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))) | ~minsol_model_max(X0,X1,X2)))), 11.61/11.76 inference(flattening,[],[f33])). 11.61/11.76 fof(f35,plain,( 11.61/11.76 ! [X0,X1,X2] : ((minsol_model_max(X0,X1,X2) | ~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))) | ~minsol_model_max(X0,X1,X2)))), 11.61/11.76 inference(rectify,[],[f34])). 11.61/11.76 fof(f36,plain,( 11.61/11.76 ! [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))))), 11.61/11.76 introduced(choice_axiom,[])). 11.61/11.76 fof(f37,plain,( 11.61/11.76 ! [X0,X1,X2] : ((minsol_model_max(X0,X1,X2) | ~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))) | ~minsol_model_max(X0,X1,X2)))), 11.61/11.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f35,f36])). 11.61/11.76 fof(f38,plain,( 11.61/11.76 ! [X0,X1,X2] : ((model_ub(X0,X1,X2) | ! [X3] : (~lesseq(summation(X3),X2) | ~ub(X0,X1,X3))) & (? [X3] : (lesseq(summation(X3),X2) & ub(X0,X1,X3)) | ~model_ub(X0,X1,X2)))), 11.61/11.76 inference(nnf_transformation,[],[f18])). 11.61/11.76 fof(f39,plain,( 11.61/11.76 ! [X0,X1,X2] : ((model_ub(X0,X1,X2) | ! [X3] : (~lesseq(summation(X3),X2) | ~ub(X0,X1,X3))) & (? [X4] : (lesseq(summation(X4),X2) & ub(X0,X1,X4)) | ~model_ub(X0,X1,X2)))), 11.61/11.76 inference(rectify,[],[f38])). 11.61/11.76 fof(f40,plain,( 11.61/11.76 ! [X2,X1,X0] : (? [X4] : (lesseq(summation(X4),X2) & ub(X0,X1,X4)) => (lesseq(summation(sK5(X0,X1,X2)),X2) & ub(X0,X1,sK5(X0,X1,X2))))), 11.61/11.76 introduced(choice_axiom,[])). 11.61/11.76 fof(f41,plain,( 11.61/11.76 ! [X0,X1,X2] : ((model_ub(X0,X1,X2) | ! [X3] : (~lesseq(summation(X3),X2) | ~ub(X0,X1,X3))) & ((lesseq(summation(sK5(X0,X1,X2)),X2) & ub(X0,X1,sK5(X0,X1,X2))) | ~model_ub(X0,X1,X2)))), 11.61/11.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f39,f40])). 11.61/11.76 fof(f42,plain,( 11.61/11.76 ! [X0,X1,X2] : ((lesseq(summation(max(X0,X1)),X2) | ~model_max(X0,X1,X2)) & (model_max(X0,X1,X2) | ~lesseq(summation(max(X0,X1)),X2)))), 11.61/11.76 inference(nnf_transformation,[],[f19])). 11.61/11.76 fof(f43,plain,( 11.61/11.76 ! [X0,X1] : ((lesseq(summation(X0),summation(X1)) | ~lesseq(X0,X1)) & (lesseq(X0,X1) | ~lesseq(summation(X0),summation(X1))))), 11.61/11.76 inference(nnf_transformation,[],[f6])). 11.61/11.76 fof(f44,plain,( 11.61/11.76 ! [X0,X1,X2] : (((lesseq(X0,X2) & lesseq(X1,X2)) | ~ub(X0,X1,X2)) & (ub(X0,X1,X2) | (~lesseq(X0,X2) | ~lesseq(X1,X2))))), 11.61/11.76 inference(nnf_transformation,[],[f10])). 11.61/11.76 fof(f45,plain,( 11.61/11.76 ! [X0,X1,X2] : (((lesseq(X0,X2) & lesseq(X1,X2)) | ~ub(X0,X1,X2)) & (ub(X0,X1,X2) | ~lesseq(X0,X2) | ~lesseq(X1,X2)))), 11.61/11.76 inference(flattening,[],[f44])). 11.61/11.76 fof(f46,plain,( 11.61/11.76 minsol_model_ub(sK0,sK1,sK2) | minsol_model_max(sK0,sK1,sK2)), 11.61/11.76 inference(cnf_transformation,[],[f27])). 11.61/11.76 fof(f47,plain,( 11.61/11.76 ~minsol_model_ub(sK0,sK1,sK2) | ~minsol_model_max(sK0,sK1,sK2)), 11.61/11.76 inference(cnf_transformation,[],[f27])). 11.61/11.76 fof(f48,plain,( 11.61/11.76 ( ! [X2,X0,X1] : (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | model_ub(X0,X1,sK3(X0,X1,X2))) )), 11.61/11.76 inference(cnf_transformation,[],[f32])). 11.61/11.76 fof(f49,plain,( 11.61/11.76 ( ! [X2,X0,X1] : (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | ~lesseq(X2,sK3(X0,X1,X2))) )), 11.61/11.76 inference(cnf_transformation,[],[f32])). 11.61/11.76 fof(f50,plain,( 11.61/11.76 ( ! [X2,X0,X3,X1] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3) | ~minsol_model_ub(X0,X1,X2)) )), 11.61/11.76 inference(cnf_transformation,[],[f32])). 11.61/11.76 fof(f51,plain,( 11.61/11.76 ( ! [X2,X0,X1] : (model_ub(X0,X1,X2) | ~minsol_model_ub(X0,X1,X2)) )), 11.61/11.76 inference(cnf_transformation,[],[f32])). 11.61/11.76 fof(f52,plain,( 11.61/11.76 ( ! [X4,X2,X0,X1] : (lesseq(X2,X4) | ~model_max(X0,X1,X4) | ~minsol_model_max(X0,X1,X2)) )), 11.61/11.76 inference(cnf_transformation,[],[f37])). 11.61/11.76 fof(f53,plain,( 11.61/11.76 ( ! [X2,X0,X1] : (model_max(X0,X1,X2) | ~minsol_model_max(X0,X1,X2)) )), 11.61/11.76 inference(cnf_transformation,[],[f37])). 11.61/11.76 fof(f54,plain,( 11.61/11.76 ( ! [X2,X0,X1] : (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | model_max(X0,X1,sK4(X0,X1,X2))) )), 11.61/11.76 inference(cnf_transformation,[],[f37])). 11.61/11.76 fof(f55,plain,( 11.61/11.76 ( ! [X2,X0,X1] : (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | ~lesseq(X2,sK4(X0,X1,X2))) )), 11.61/11.76 inference(cnf_transformation,[],[f37])). 11.61/11.76 fof(f56,plain,( 11.61/11.76 ( ! [X2,X0,X1] : (lesseq(X0,X2) | ~lesseq(X0,X1) | ~lesseq(X1,X2)) )), 11.61/11.76 inference(cnf_transformation,[],[f24])). 11.61/11.76 fof(f57,plain,( 11.61/11.76 ( ! [X0,X1] : (lesseq(X0,X1) | lesseq(X1,X0)) )), 11.61/11.76 inference(cnf_transformation,[],[f3])). 11.61/11.76 fof(f58,plain,( 11.61/11.76 ( ! [X0] : (lesseq(X0,X0)) )), 11.61/11.76 inference(cnf_transformation,[],[f15])). 11.61/11.76 fof(f59,plain,( 11.61/11.76 ( ! [X2,X0,X1] : (ub(X0,X1,sK5(X0,X1,X2)) | ~model_ub(X0,X1,X2)) )), 11.61/11.76 inference(cnf_transformation,[],[f41])). 11.61/11.76 fof(f60,plain,( 11.61/11.76 ( ! [X2,X0,X1] : (lesseq(summation(sK5(X0,X1,X2)),X2) | ~model_ub(X0,X1,X2)) )), 11.61/11.76 inference(cnf_transformation,[],[f41])). 11.61/11.76 fof(f61,plain,( 11.61/11.76 ( ! [X2,X0,X3,X1] : (model_ub(X0,X1,X2) | ~lesseq(summation(X3),X2) | ~ub(X0,X1,X3)) )), 11.61/11.76 inference(cnf_transformation,[],[f41])). 11.61/11.76 fof(f62,plain,( 11.61/11.76 ( ! [X2,X0,X1] : (model_max(X0,X1,X2) | ~lesseq(summation(max(X0,X1)),X2)) )), 11.61/11.76 inference(cnf_transformation,[],[f42])). 11.61/11.76 fof(f63,plain,( 11.61/11.76 ( ! [X2,X0,X1] : (lesseq(summation(max(X0,X1)),X2) | ~model_max(X0,X1,X2)) )), 11.61/11.76 inference(cnf_transformation,[],[f42])). 11.61/11.76 fof(f64,plain,( 11.61/11.76 ( ! [X0,X1] : (lesseq(X0,X1) | ~lesseq(summation(X0),summation(X1))) )), 11.61/11.76 inference(cnf_transformation,[],[f43])). 11.61/11.76 fof(f65,plain,( 11.61/11.76 ( ! [X0,X1] : (lesseq(summation(X0),summation(X1)) | ~lesseq(X0,X1)) )), 11.61/11.76 inference(cnf_transformation,[],[f43])). 11.61/11.76 fof(f66,plain,( 11.61/11.76 ( ! [X2,X0,X1] : (ub(X0,X1,X2) | ~lesseq(X0,X2) | ~lesseq(X1,X2)) )), 11.61/11.76 inference(cnf_transformation,[],[f45])). 11.61/11.76 fof(f67,plain,( 11.61/11.76 ( ! [X2,X0,X1] : (lesseq(X1,X2) | ~ub(X0,X1,X2)) )), 11.61/11.76 inference(cnf_transformation,[],[f45])). 11.61/11.76 fof(f68,plain,( 11.61/11.76 ( ! [X2,X0,X1] : (lesseq(X0,X2) | ~ub(X0,X1,X2)) )), 11.61/11.76 inference(cnf_transformation,[],[f45])). 11.61/11.76 fof(f69,plain,( 11.61/11.76 ( ! [X0,X1] : (~lesseq(X1,X0) | max(X0,X1) = X0) )), 11.61/11.76 inference(cnf_transformation,[],[f5])). 11.61/11.76 fof(f70,plain,( 11.61/11.76 ( ! [X0,X1] : (~lesseq(X0,X1) | max(X0,X1) = X1) )), 11.61/11.76 inference(cnf_transformation,[],[f13])). 11.61/11.76 fof(f72,plain,( 11.61/11.76 spl6_0 <=> minsol_model_max(sK0,sK1,sK2)), 11.61/11.76 introduced(avatar_definition,[new_symbols(naming,[spl6_0])])). 11.61/11.76 fof(f73,plain,( 11.61/11.76 minsol_model_max(sK0,sK1,sK2) | ~spl6_0), 11.61/11.76 inference(avatar_component_clause,[],[f72])). 11.61/11.76 fof(f75,plain,( 11.61/11.76 spl6_1 <=> ~minsol_model_max(sK0,sK1,sK2)), 11.61/11.76 introduced(avatar_definition,[new_symbols(naming,[spl6_1])])). 11.61/11.76 fof(f78,plain,( 11.61/11.76 spl6_2 <=> minsol_model_ub(sK0,sK1,sK2)), 11.61/11.76 introduced(avatar_definition,[new_symbols(naming,[spl6_2])])). 11.61/11.76 fof(f79,plain,( 11.61/11.76 minsol_model_ub(sK0,sK1,sK2) | ~spl6_2), 11.61/11.76 inference(avatar_component_clause,[],[f78])). 11.61/11.76 fof(f81,plain,( 11.61/11.76 spl6_3 <=> ~minsol_model_ub(sK0,sK1,sK2)), 11.61/11.76 introduced(avatar_definition,[new_symbols(naming,[spl6_3])])). 11.61/11.76 fof(f82,plain,( 11.61/11.76 ~minsol_model_ub(sK0,sK1,sK2) | ~spl6_3), 11.61/11.76 inference(avatar_component_clause,[],[f81])). 11.61/11.76 fof(f83,plain,( 11.61/11.76 ~spl6_1 | ~spl6_3), 11.61/11.76 inference(avatar_split_clause,[],[f47,f81,f75])). 11.61/11.76 fof(f84,plain,( 11.61/11.76 spl6_0 | spl6_2), 11.61/11.76 inference(avatar_split_clause,[],[f46,f78,f72])). 11.61/11.76 fof(f91,plain,( 11.61/11.76 spl6_4 <=> model_max(sK0,sK1,sK4(sK0,sK1,sK2))), 11.61/11.76 introduced(avatar_definition,[new_symbols(naming,[spl6_4])])). 11.61/11.76 fof(f92,plain,( 11.61/11.76 model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_4), 11.61/11.76 inference(avatar_component_clause,[],[f91])). 11.61/11.76 fof(f94,plain,( 11.61/11.76 spl6_6 <=> model_max(sK0,sK1,sK2)), 11.61/11.76 introduced(avatar_definition,[new_symbols(naming,[spl6_6])])). 11.61/11.76 fof(f95,plain,( 11.61/11.76 model_max(sK0,sK1,sK2) | ~spl6_6), 11.61/11.76 inference(avatar_component_clause,[],[f94])). 11.61/11.76 fof(f97,plain,( 11.61/11.76 spl6_7 <=> ~model_max(sK0,sK1,sK2)), 11.61/11.76 introduced(avatar_definition,[new_symbols(naming,[spl6_7])])). 11.61/11.76 fof(f98,plain,( 11.61/11.76 ~model_max(sK0,sK1,sK2) | ~spl6_7), 11.61/11.76 inference(avatar_component_clause,[],[f97])). 11.61/11.76 fof(f104,plain,( 11.61/11.76 spl6_9 <=> ~lesseq(sK2,sK4(sK0,sK1,sK2))), 11.61/11.76 introduced(avatar_definition,[new_symbols(naming,[spl6_9])])). 11.61/11.76 fof(f105,plain,( 11.61/11.76 ~lesseq(sK2,sK4(sK0,sK1,sK2)) | ~spl6_9), 11.61/11.76 inference(avatar_component_clause,[],[f104])). 11.61/11.76 fof(f108,plain,( 11.61/11.76 model_ub(sK0,sK1,sK2) | ~spl6_2), 11.61/11.76 inference(resolution,[],[f79,f51])). 11.61/11.76 fof(f109,plain,( 11.61/11.76 ~lesseq(summation(max(sK0,sK1)),sK2) | ~spl6_7), 11.61/11.76 inference(resolution,[],[f98,f62])). 11.61/11.76 fof(f110,plain,( 11.61/11.76 ~minsol_model_max(sK0,sK1,sK2) | ~spl6_7), 11.61/11.76 inference(resolution,[],[f98,f53])). 11.61/11.76 fof(f111,plain,( 11.61/11.76 ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_2), 11.61/11.76 inference(resolution,[],[f108,f59])). 11.61/11.76 fof(f112,plain,( 11.61/11.76 lesseq(summation(sK5(sK0,sK1,sK2)),sK2) | ~spl6_2), 11.61/11.76 inference(resolution,[],[f108,f60])). 11.61/11.76 fof(f119,plain,( 11.61/11.76 ( ! [X4] : (~lesseq(summation(max(sK0,sK1)),X4) | ~lesseq(X4,sK2)) ) | ~spl6_7), 11.61/11.76 inference(resolution,[],[f109,f56])). 11.61/11.76 fof(f125,plain,( 11.61/11.76 ~lesseq(summation(sK1),sK2) | ~lesseq(sK0,sK1) | ~spl6_7), 11.61/11.76 inference(superposition,[],[f109,f70])). 11.61/11.76 fof(f128,plain,( 11.61/11.76 spl6_10 <=> lesseq(sK0,sK1)), 11.61/11.76 introduced(avatar_definition,[new_symbols(naming,[spl6_10])])). 11.61/11.76 fof(f129,plain,( 11.61/11.76 lesseq(sK0,sK1) | ~spl6_10), 11.61/11.76 inference(avatar_component_clause,[],[f128])). 11.61/11.76 fof(f131,plain,( 11.61/11.76 spl6_11 <=> ~lesseq(sK0,sK1)), 11.61/11.76 introduced(avatar_definition,[new_symbols(naming,[spl6_11])])). 11.61/11.76 fof(f132,plain,( 11.61/11.76 ~lesseq(sK0,sK1) | ~spl6_11), 11.61/11.76 inference(avatar_component_clause,[],[f131])). 11.61/11.76 fof(f137,plain,( 11.61/11.76 spl6_13 <=> ~lesseq(summation(sK1),sK2)), 11.61/11.76 introduced(avatar_definition,[new_symbols(naming,[spl6_13])])). 11.61/11.76 fof(f138,plain,( 11.61/11.76 ~lesseq(summation(sK1),sK2) | ~spl6_13), 11.61/11.76 inference(avatar_component_clause,[],[f137])). 11.61/11.76 fof(f139,plain,( 11.61/11.76 ~spl6_11 | ~spl6_13 | spl6_7), 11.61/11.76 inference(avatar_split_clause,[],[f125,f97,f137,f131])). 11.61/11.76 fof(f156,plain,( 11.61/11.76 lesseq(sK1,sK0) | ~spl6_11), 11.61/11.76 inference(resolution,[],[f132,f57])). 11.61/11.76 fof(f170,plain,( 11.61/11.76 max(sK0,sK1) = sK0 | ~spl6_11), 11.61/11.76 inference(resolution,[],[f156,f69])). 11.61/11.76 fof(f175,plain,( 11.61/11.76 ( ! [X4] : (~lesseq(summation(sK0),X4) | ~lesseq(X4,sK2)) ) | (~spl6_7 | ~spl6_11)), 11.61/11.76 inference(backward_demodulation,[],[f170,f119])). 11.61/11.76 fof(f180,plain,( 11.61/11.76 lesseq(sK1,sK5(sK0,sK1,sK2)) | ~spl6_2), 11.61/11.76 inference(resolution,[],[f111,f67])). 11.61/11.76 fof(f181,plain,( 11.61/11.76 lesseq(sK0,sK5(sK0,sK1,sK2)) | ~spl6_2), 11.61/11.76 inference(resolution,[],[f111,f68])). 11.61/11.76 fof(f200,plain,( 11.61/11.76 ( ! [X3] : (lesseq(X3,sK2) | ~lesseq(X3,summation(sK5(sK0,sK1,sK2)))) ) | ~spl6_2), 11.61/11.76 inference(resolution,[],[f112,f56])). 11.61/11.76 fof(f261,plain,( 11.61/11.76 lesseq(summation(sK1),summation(sK5(sK0,sK1,sK2))) | ~spl6_2), 11.61/11.76 inference(resolution,[],[f180,f65])). 11.61/11.76 fof(f268,plain,( 11.61/11.76 lesseq(summation(sK0),summation(sK5(sK0,sK1,sK2))) | ~spl6_2), 11.61/11.76 inference(resolution,[],[f181,f65])). 11.61/11.76 fof(f433,plain,( 11.61/11.76 ~lesseq(summation(sK0),summation(sK5(sK0,sK1,sK2))) | ~lesseq(sK2,sK2) | (~spl6_2 | ~spl6_7 | ~spl6_11)), 11.61/11.76 inference(resolution,[],[f200,f175])). 11.61/11.76 fof(f440,plain,( 11.61/11.76 ~lesseq(sK2,sK2) | (~spl6_2 | ~spl6_7 | ~spl6_11)), 11.61/11.76 inference(subsumption_resolution,[],[f433,f268])). 11.61/11.76 fof(f441,plain,( 11.61/11.76 $false | (~spl6_2 | ~spl6_7 | ~spl6_11)), 11.61/11.76 inference(subsumption_resolution,[],[f440,f58])). 11.61/11.76 fof(f442,plain,( 11.61/11.76 ~spl6_2 | spl6_7 | spl6_11), 11.61/11.76 inference(avatar_contradiction_clause,[],[f441])). 11.61/11.76 fof(f466,plain,( 11.61/11.76 ~lesseq(summation(sK1),summation(sK5(sK0,sK1,sK2))) | (~spl6_2 | ~spl6_13)), 11.61/11.76 inference(resolution,[],[f138,f200])). 11.61/11.76 fof(f475,plain,( 11.61/11.76 $false | (~spl6_2 | ~spl6_13)), 11.61/11.76 inference(subsumption_resolution,[],[f466,f261])). 11.61/11.76 fof(f476,plain,( 11.61/11.76 ~spl6_2 | spl6_13), 11.61/11.76 inference(avatar_contradiction_clause,[],[f475])). 11.61/11.76 fof(f477,plain,( 11.61/11.76 $false | (~spl6_0 | ~spl6_7)), 11.61/11.76 inference(subsumption_resolution,[],[f73,f110])). 11.61/11.76 fof(f478,plain,( 11.61/11.76 ~spl6_0 | spl6_7), 11.61/11.76 inference(avatar_contradiction_clause,[],[f477])). 11.61/11.76 fof(f479,plain,( 11.61/11.76 ( ! [X0] : (~model_max(sK0,sK1,X0) | lesseq(sK2,X0)) ) | ~spl6_0), 11.61/11.76 inference(resolution,[],[f73,f52])). 11.61/11.76 fof(f481,plain,( 11.61/11.76 ~model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_3), 11.61/11.76 inference(resolution,[],[f82,f48])). 11.61/11.76 fof(f482,plain,( 11.61/11.76 ~model_ub(sK0,sK1,sK2) | ~lesseq(sK2,sK3(sK0,sK1,sK2)) | ~spl6_3), 11.61/11.76 inference(resolution,[],[f82,f49])). 11.61/11.76 fof(f487,plain,( 11.61/11.76 spl6_26 <=> model_ub(sK0,sK1,sK3(sK0,sK1,sK2))), 11.61/11.76 introduced(avatar_definition,[new_symbols(naming,[spl6_26])])). 11.61/11.76 fof(f488,plain,( 11.61/11.76 model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_26), 11.61/11.76 inference(avatar_component_clause,[],[f487])). 11.61/11.76 fof(f493,plain,( 11.61/11.76 spl6_29 <=> ~model_ub(sK0,sK1,sK2)), 11.61/11.76 introduced(avatar_definition,[new_symbols(naming,[spl6_29])])). 11.61/11.76 fof(f494,plain,( 11.61/11.76 ~model_ub(sK0,sK1,sK2) | ~spl6_29), 11.61/11.76 inference(avatar_component_clause,[],[f493])). 11.61/11.76 fof(f495,plain,( 11.61/11.76 spl6_26 | ~spl6_29 | spl6_3), 11.61/11.76 inference(avatar_split_clause,[],[f481,f81,f493,f487])). 11.61/11.76 fof(f500,plain,( 11.61/11.76 spl6_31 <=> ~lesseq(sK2,sK3(sK0,sK1,sK2))), 11.61/11.76 introduced(avatar_definition,[new_symbols(naming,[spl6_31])])). 11.61/11.76 fof(f501,plain,( 11.61/11.76 ~lesseq(sK2,sK3(sK0,sK1,sK2)) | ~spl6_31), 11.61/11.76 inference(avatar_component_clause,[],[f500])). 11.61/11.76 fof(f502,plain,( 11.61/11.76 ~spl6_31 | ~spl6_29 | spl6_3), 11.61/11.76 inference(avatar_split_clause,[],[f482,f81,f493,f500])). 11.61/11.76 fof(f503,plain,( 11.61/11.76 lesseq(summation(max(sK0,sK1)),sK2) | ~spl6_6), 11.61/11.76 inference(resolution,[],[f95,f63])). 11.61/11.76 fof(f514,plain,( 11.61/11.76 ( ! [X0] : (~ub(sK0,sK1,X0) | ~lesseq(summation(X0),sK2)) ) | ~spl6_29), 11.61/11.76 inference(resolution,[],[f494,f61])). 11.61/11.76 fof(f524,plain,( 11.61/11.76 ( ! [X0] : (lesseq(sK1,X0) | ~lesseq(sK0,X0)) ) | ~spl6_11), 11.61/11.76 inference(resolution,[],[f156,f56])). 11.61/11.76 fof(f529,plain,( 11.61/11.76 max(sK0,sK1) = sK0 | ~spl6_11), 11.61/11.76 inference(resolution,[],[f156,f69])). 11.61/11.76 fof(f531,plain,( 11.61/11.76 lesseq(summation(sK0),sK2) | (~spl6_6 | ~spl6_11)), 11.61/11.76 inference(backward_demodulation,[],[f529,f503])). 11.61/11.76 fof(f534,plain,( 11.61/11.76 ( ! [X1] : (lesseq(sK2,X1) | ~lesseq(summation(max(sK0,sK1)),X1)) ) | ~spl6_0), 11.61/11.76 inference(resolution,[],[f479,f62])). 11.61/11.76 fof(f536,plain,( 11.61/11.76 ( ! [X1] : (lesseq(sK2,X1) | ~lesseq(summation(sK0),X1)) ) | (~spl6_0 | ~spl6_11)), 11.61/11.76 inference(forward_demodulation,[],[f534,f529])). 11.61/11.76 fof(f572,plain,( 11.61/11.76 ( ! [X1] : (~lesseq(summation(X1),sK2) | ~lesseq(sK0,X1) | ~lesseq(sK1,X1)) ) | ~spl6_29), 11.61/11.76 inference(resolution,[],[f514,f66])). 11.61/11.76 fof(f573,plain,( 11.61/11.76 ( ! [X1] : (~lesseq(sK0,X1) | ~lesseq(summation(X1),sK2)) ) | (~spl6_11 | ~spl6_29)), 11.61/11.76 inference(subsumption_resolution,[],[f572,f524])). 11.61/11.76 fof(f601,plain,( 11.61/11.76 ~lesseq(summation(sK0),sK2) | (~spl6_11 | ~spl6_29)), 11.61/11.76 inference(resolution,[],[f573,f58])). 11.61/11.76 fof(f612,plain,( 11.61/11.76 $false | (~spl6_6 | ~spl6_11 | ~spl6_29)), 11.61/11.76 inference(subsumption_resolution,[],[f531,f601])). 11.61/11.76 fof(f613,plain,( 11.61/11.76 ~spl6_6 | spl6_11 | spl6_29), 11.61/11.76 inference(avatar_contradiction_clause,[],[f612])). 11.61/11.76 fof(f627,plain,( 11.61/11.76 ~lesseq(summation(sK2),summation(sK3(sK0,sK1,sK2))) | ~spl6_31), 11.61/11.76 inference(resolution,[],[f501,f64])). 11.61/11.76 fof(f636,plain,( 11.61/11.76 max(sK2,summation(sK0)) = sK2 | (~spl6_6 | ~spl6_11)), 11.61/11.76 inference(resolution,[],[f531,f69])). 11.61/11.76 fof(f642,plain,( 11.61/11.76 ub(sK0,sK1,sK5(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_26), 11.61/11.76 inference(resolution,[],[f488,f59])). 11.61/11.76 fof(f643,plain,( 11.61/11.76 lesseq(summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK2)) | ~spl6_26), 11.61/11.76 inference(resolution,[],[f488,f60])). 11.61/11.76 fof(f687,plain,( 11.61/11.76 summation(sK0) = sK2 | ~lesseq(sK2,summation(sK0)) | (~spl6_6 | ~spl6_11)), 11.61/11.76 inference(superposition,[],[f70,f636])). 11.61/11.76 fof(f694,plain,( 11.61/11.76 spl6_39 <=> ~lesseq(sK2,summation(sK0))), 11.61/11.76 introduced(avatar_definition,[new_symbols(naming,[spl6_39])])). 11.61/11.76 fof(f695,plain,( 11.61/11.76 ~lesseq(sK2,summation(sK0)) | ~spl6_39), 11.61/11.76 inference(avatar_component_clause,[],[f694])). 11.61/11.76 fof(f700,plain,( 11.61/11.76 spl6_40 <=> summation(sK0) = sK2), 11.61/11.76 introduced(avatar_definition,[new_symbols(naming,[spl6_40])])). 11.61/11.76 fof(f701,plain,( 11.61/11.76 summation(sK0) = sK2 | ~spl6_40), 11.61/11.76 inference(avatar_component_clause,[],[f700])). 11.61/11.76 fof(f703,plain,( 11.61/11.76 ~spl6_39 | spl6_40 | ~spl6_6 | spl6_11), 11.61/11.76 inference(avatar_split_clause,[],[f687,f131,f94,f700,f694])). 11.61/11.76 fof(f712,plain,( 11.61/11.76 ~lesseq(summation(sK0),summation(sK0)) | (~spl6_0 | ~spl6_11 | ~spl6_39)), 11.61/11.76 inference(resolution,[],[f695,f536])). 11.61/11.76 fof(f721,plain,( 11.61/11.76 $false | (~spl6_0 | ~spl6_11 | ~spl6_39)), 11.61/11.76 inference(subsumption_resolution,[],[f712,f58])). 11.61/11.76 fof(f722,plain,( 11.61/11.76 ~spl6_0 | spl6_11 | spl6_39), 11.61/11.76 inference(avatar_contradiction_clause,[],[f721])). 11.61/11.76 fof(f854,plain,( 11.61/11.76 ( ! [X4] : (~lesseq(X4,summation(sK3(sK0,sK1,sK2))) | ~lesseq(summation(sK2),X4)) ) | ~spl6_31), 11.61/11.76 inference(resolution,[],[f627,f56])). 11.61/11.76 fof(f874,plain,( 11.61/11.76 lesseq(sK1,sK5(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_26), 11.61/11.76 inference(resolution,[],[f642,f67])). 11.61/11.76 fof(f875,plain,( 11.61/11.76 lesseq(sK0,sK5(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_26), 11.61/11.76 inference(resolution,[],[f642,f68])). 11.61/11.76 fof(f987,plain,( 11.61/11.76 ( ! [X3] : (~lesseq(X3,summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2)))) | lesseq(X3,sK3(sK0,sK1,sK2))) ) | ~spl6_26), 11.61/11.76 inference(resolution,[],[f643,f56])). 11.61/11.76 fof(f988,plain,( 11.61/11.76 lesseq(summation(summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2)))),summation(sK3(sK0,sK1,sK2))) | ~spl6_26), 11.61/11.76 inference(resolution,[],[f643,f65])). 11.61/11.76 fof(f1269,plain,( 11.61/11.76 lesseq(summation(sK0),summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~spl6_26), 11.61/11.76 inference(resolution,[],[f875,f65])). 11.61/11.76 fof(f1274,plain,( 11.61/11.76 lesseq(sK2,summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2)))) | (~spl6_26 | ~spl6_40)), 11.61/11.76 inference(forward_demodulation,[],[f1269,f701])). 11.61/11.76 fof(f1826,plain,( 11.61/11.76 ~lesseq(summation(sK2),summation(summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2))))) | (~spl6_26 | ~spl6_31)), 11.61/11.76 inference(resolution,[],[f988,f854])). 11.61/11.76 fof(f2809,plain,( 11.61/11.76 lesseq(summation(sK2),summation(summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2))))) | (~spl6_26 | ~spl6_40)), 11.61/11.76 inference(resolution,[],[f1274,f65])). 11.61/11.76 fof(f2820,plain,( 11.61/11.76 $false | (~spl6_26 | ~spl6_31 | ~spl6_40)), 11.61/11.76 inference(subsumption_resolution,[],[f2809,f1826])). 11.61/11.76 fof(f2821,plain,( 11.61/11.76 ~spl6_26 | spl6_31 | ~spl6_40), 11.61/11.76 inference(avatar_contradiction_clause,[],[f2820])). 11.61/11.76 fof(f2846,plain,( 11.61/11.76 ( ! [X3] : (ub(sK0,X3,sK1) | ~lesseq(X3,sK1)) ) | ~spl6_10), 11.61/11.76 inference(resolution,[],[f129,f66])). 11.61/11.76 fof(f2848,plain,( 11.61/11.76 max(sK0,sK1) = sK1 | ~spl6_10), 11.61/11.76 inference(resolution,[],[f129,f70])). 11.61/11.76 fof(f2851,plain,( 11.61/11.76 ( ! [X1] : (~lesseq(summation(sK1),X1) | lesseq(sK2,X1)) ) | (~spl6_0 | ~spl6_10)), 11.61/11.76 inference(backward_demodulation,[],[f2848,f534])). 11.61/11.76 fof(f3651,plain,( 11.61/11.76 ( ! [X0] : (lesseq(sK2,summation(X0)) | ~lesseq(sK1,X0)) ) | (~spl6_0 | ~spl6_10)), 11.61/11.76 inference(resolution,[],[f2851,f65])). 11.61/11.76 fof(f4273,plain,( 11.61/11.76 lesseq(summation(max(sK0,sK1)),sK2) | ~spl6_6), 11.61/11.76 inference(resolution,[],[f95,f63])). 11.61/11.76 fof(f4277,plain,( 11.61/11.76 lesseq(summation(sK1),sK2) | (~spl6_6 | ~spl6_10)), 11.61/11.76 inference(forward_demodulation,[],[f4273,f2848])). 11.61/11.76 fof(f5433,plain,( 11.61/11.76 minsol_model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_6), 11.61/11.76 inference(resolution,[],[f95,f54])). 11.61/11.76 fof(f5434,plain,( 11.61/11.76 minsol_model_max(sK0,sK1,sK2) | ~lesseq(sK2,sK4(sK0,sK1,sK2)) | ~spl6_6), 11.61/11.76 inference(resolution,[],[f95,f55])). 11.61/11.76 fof(f6431,plain,( 11.61/11.76 lesseq(sK2,sK3(sK0,sK1,sK2)) | ~lesseq(sK1,sK5(sK0,sK1,sK3(sK0,sK1,sK2))) | (~spl6_0 | ~spl6_10 | ~spl6_26)), 11.61/11.76 inference(resolution,[],[f987,f3651])). 11.61/11.76 fof(f6435,plain,( 11.61/11.76 ~lesseq(sK1,sK5(sK0,sK1,sK3(sK0,sK1,sK2))) | (~spl6_0 | ~spl6_10 | ~spl6_26 | ~spl6_31)), 11.61/11.76 inference(subsumption_resolution,[],[f6431,f501])). 11.61/11.76 fof(f6436,plain,( 11.61/11.76 $false | (~spl6_0 | ~spl6_10 | ~spl6_26 | ~spl6_31)), 11.61/11.76 inference(subsumption_resolution,[],[f6435,f874])). 11.61/11.76 fof(f6437,plain,( 11.61/11.76 ~spl6_0 | ~spl6_10 | ~spl6_26 | spl6_31), 11.61/11.76 inference(avatar_contradiction_clause,[],[f6436])). 11.61/11.76 fof(f6467,plain,( 11.61/11.76 ( ! [X0] : (~ub(sK0,sK1,X0) | ~lesseq(summation(X0),sK2)) ) | ~spl6_29), 11.61/11.76 inference(resolution,[],[f494,f61])). 11.61/11.76 fof(f6496,plain,( 11.61/11.76 ~lesseq(summation(sK1),sK2) | ~lesseq(sK1,sK1) | (~spl6_10 | ~spl6_29)), 11.61/11.76 inference(resolution,[],[f6467,f2846])). 11.61/11.76 fof(f6499,plain,( 11.61/11.76 ~lesseq(summation(sK1),sK2) | (~spl6_10 | ~spl6_29)), 11.61/11.76 inference(subsumption_resolution,[],[f6496,f58])). 11.61/11.76 fof(f6504,plain,( 11.61/11.76 ~spl6_9 | spl6_0 | ~spl6_6), 11.61/11.76 inference(avatar_split_clause,[],[f5434,f94,f72,f104])). 11.61/11.76 fof(f6505,plain,( 11.61/11.76 spl6_4 | spl6_0 | ~spl6_6), 11.61/11.76 inference(avatar_split_clause,[],[f5433,f94,f72,f91])). 11.61/11.76 fof(f6508,plain,( 11.61/11.76 $false | (~spl6_6 | ~spl6_10 | ~spl6_29)), 11.61/11.76 inference(subsumption_resolution,[],[f4277,f6499])). 11.61/11.76 fof(f6509,plain,( 11.61/11.76 ~spl6_6 | ~spl6_10 | spl6_29), 11.61/11.76 inference(avatar_contradiction_clause,[],[f6508])). 11.61/11.76 fof(f6536,plain,( 11.61/11.76 ( ! [X0,X1] : (~model_ub(X0,X1,sK4(sK0,sK1,sK2)) | ~minsol_model_ub(X0,X1,sK2)) ) | ~spl6_9), 11.61/11.76 inference(resolution,[],[f105,f50])). 11.61/11.76 fof(f6552,plain,( 11.61/11.76 lesseq(summation(max(sK0,sK1)),sK4(sK0,sK1,sK2)) | ~spl6_4), 11.61/11.76 inference(resolution,[],[f92,f63])). 11.61/11.76 fof(f6556,plain,( 11.61/11.76 lesseq(summation(sK1),sK4(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_10)), 11.61/11.76 inference(forward_demodulation,[],[f6552,f2848])). 11.61/11.76 fof(f6688,plain,( 11.61/11.76 ( ! [X3] : (lesseq(X3,sK4(sK0,sK1,sK2)) | ~lesseq(X3,summation(sK1))) ) | (~spl6_4 | ~spl6_10)), 11.61/11.76 inference(resolution,[],[f6556,f56])). 11.61/11.76 fof(f6907,plain,( 11.61/11.76 ( ! [X2,X0,X1] : (~minsol_model_ub(X0,X1,sK2) | ~lesseq(summation(X2),sK4(sK0,sK1,sK2)) | ~ub(X0,X1,X2)) ) | ~spl6_9), 11.61/11.76 inference(resolution,[],[f6536,f61])). 11.61/11.76 fof(f9807,plain,( 11.61/11.76 ( ! [X0] : (~ub(sK0,sK1,X0) | ~lesseq(summation(X0),sK4(sK0,sK1,sK2))) ) | (~spl6_2 | ~spl6_9)), 11.61/11.76 inference(resolution,[],[f79,f6907])). 11.61/11.76 fof(f9808,plain,( 11.61/11.76 ( ! [X1] : (~model_ub(sK0,sK1,X1) | lesseq(sK2,X1)) ) | ~spl6_2), 11.61/11.76 inference(resolution,[],[f79,f50])). 11.61/11.76 fof(f9830,plain,( 11.61/11.76 ( ! [X0,X1] : (~ub(sK0,sK1,X1) | ~lesseq(summation(X1),X0) | lesseq(sK2,X0)) ) | ~spl6_2), 11.61/11.76 inference(resolution,[],[f9808,f61])). 11.61/11.76 fof(f10638,plain,( 11.61/11.76 ( ! [X1] : (~lesseq(summation(sK1),X1) | lesseq(sK2,X1) | ~lesseq(sK1,sK1)) ) | (~spl6_2 | ~spl6_10)), 11.61/11.76 inference(resolution,[],[f9830,f2846])). 11.61/11.76 fof(f10642,plain,( 11.61/11.76 ( ! [X1] : (~lesseq(summation(sK1),X1) | lesseq(sK2,X1)) ) | (~spl6_2 | ~spl6_10)), 11.61/11.76 inference(subsumption_resolution,[],[f10638,f58])). 11.61/11.76 fof(f11240,plain,( 11.61/11.76 lesseq(sK2,sK4(sK0,sK1,sK2)) | ~lesseq(summation(sK1),summation(sK1)) | (~spl6_2 | ~spl6_4 | ~spl6_10)), 11.61/11.76 inference(resolution,[],[f10642,f6688])). 11.61/11.76 fof(f11249,plain,( 11.61/11.76 ~lesseq(summation(sK1),summation(sK1)) | (~spl6_2 | ~spl6_4 | ~spl6_9 | ~spl6_10)), 11.61/11.76 inference(subsumption_resolution,[],[f11240,f105])). 11.61/11.76 fof(f11250,plain,( 11.61/11.76 $false | (~spl6_2 | ~spl6_4 | ~spl6_9 | ~spl6_10)), 11.61/11.76 inference(subsumption_resolution,[],[f11249,f58])). 11.61/11.76 fof(f11251,plain,( 11.61/11.76 ~spl6_2 | ~spl6_4 | spl6_9 | ~spl6_10), 11.61/11.76 inference(avatar_contradiction_clause,[],[f11250])). 11.61/11.76 fof(f11557,plain,( 11.61/11.76 ( ! [X2] : (ub(X2,sK1,sK0) | ~lesseq(X2,sK0)) ) | ~spl6_11), 11.61/11.76 inference(resolution,[],[f156,f66])). 11.61/11.76 fof(f11559,plain,( 11.61/11.76 max(sK0,sK1) = sK0 | ~spl6_11), 11.61/11.76 inference(resolution,[],[f156,f69])). 11.61/11.76 fof(f11564,plain,( 11.61/11.76 lesseq(summation(sK0),sK4(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_11)), 11.61/11.76 inference(backward_demodulation,[],[f11559,f6552])). 11.61/11.76 fof(f14956,plain,( 11.61/11.76 ~lesseq(summation(sK0),sK4(sK0,sK1,sK2)) | ~lesseq(sK0,sK0) | (~spl6_2 | ~spl6_9 | ~spl6_11)), 11.61/11.76 inference(resolution,[],[f9807,f11557])). 11.61/11.76 fof(f14963,plain,( 11.61/11.76 ~lesseq(sK0,sK0) | (~spl6_2 | ~spl6_4 | ~spl6_9 | ~spl6_11)), 11.61/11.76 inference(subsumption_resolution,[],[f14956,f11564])). 11.61/11.76 fof(f14964,plain,( 11.61/11.76 $false | (~spl6_2 | ~spl6_4 | ~spl6_9 | ~spl6_11)), 11.61/11.76 inference(subsumption_resolution,[],[f14963,f58])). 11.61/11.76 fof(f14965,plain,( 11.61/11.76 ~spl6_2 | ~spl6_4 | spl6_9 | spl6_11), 11.61/11.76 inference(avatar_contradiction_clause,[],[f14964])). 11.61/11.76 fof(f14967,plain,( 11.61/11.76 $false), 11.61/11.76 inference(avatar_sat_refutation,[],[f83,f84,f139,f442,f476,f478,f495,f502,f613,f703,f722,f2821,f6437,f6504,f6505,f6509,f11251,f14965])). 11.61/11.76 % SZS output end Proof for theBenchmark 11.61/11.76 % ------------------------------ 11.61/11.76 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 11.61/11.76 % Termination reason: Refutation 11.61/11.76 11.61/11.76 % Memory used [KB]: 14711 11.61/11.76 % Time elapsed: 0.327 s 11.61/11.76 % ------------------------------ 11.61/11.76 % ------------------------------ 11.61/11.77 % Success in time 11.518 s 11.61/11.77 EOF