0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.02/0.23 % Computer : n155.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 05:48:39 CDT 2018 0.02/0.23 % CPUTime : 0.02/0.23 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.02/0.23 % remaining time: 6000 next slice time: 12 0.06/0.26 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 1.37/1.56 % (21276)Time limit reached! 1.37/1.56 % ------------------------------ 1.37/1.56 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.37/1.56 % Termination reason: Time limit 1.37/1.56 % Termination phase: Saturation 1.37/1.56 1.37/1.56 % Memory used [KB]: 7675 1.37/1.56 % Time elapsed: 1.300 s 1.37/1.56 % ------------------------------ 1.37/1.56 % ------------------------------ 1.37/1.56 % remaining time: 5986 next slice time: 4 1.37/1.56 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 1.37/1.56 % Refutation not found, incomplete strategy 1.37/1.56 % ------------------------------ 1.37/1.56 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.37/1.56 % Termination reason: Refutation not found, incomplete strategy 1.37/1.56 1.37/1.56 % Memory used [KB]: 9594 1.37/1.56 % Time elapsed: 0.001 s 1.37/1.56 % ------------------------------ 1.37/1.56 % ------------------------------ 1.37/1.56 % remaining time: 5986 next slice time: 10 1.37/1.56 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 2.48/2.66 % (21278)Time limit reached! 2.48/2.66 % ------------------------------ 2.48/2.66 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.48/2.66 % Termination reason: Time limit 2.48/2.66 % Termination phase: Saturation 2.48/2.66 2.48/2.66 % Memory used [KB]: 46950 2.48/2.66 % Time elapsed: 1.100 s 2.48/2.66 % ------------------------------ 2.48/2.66 % ------------------------------ 2.48/2.67 % remaining time: 5975 next slice time: 7 2.48/2.67 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 2.56/2.79 % Refutation found. Thanks to Tanya! 2.56/2.79 % SZS status Theorem for theBenchmark 2.56/2.79 % SZS output start Proof for theBenchmark 2.56/2.79 fof(f1,conjecture,( 2.56/2.79 ! [X0,X1,X2] : (minsol_model_max(X0,X1,X2) <=> minsol_model_ub(X0,X1,X2))), 2.56/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_ub_1)). 2.56/2.79 fof(f2,negated_conjecture,( 2.56/2.79 ~! [X0,X1,X2] : (minsol_model_max(X0,X1,X2) <=> minsol_model_ub(X0,X1,X2))), 2.56/2.79 inference(negated_conjecture,[],[f1])). 2.56/2.79 fof(f3,axiom,( 2.56/2.79 ! [X0,X1] : (lesseq(X0,X1) | lesseq(X1,X0))), 2.56/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_total)). 2.56/2.79 fof(f4,axiom,( 2.56/2.79 ! [X0,X1,X2] : ((lesseq(X0,X1) & lesseq(X1,X2)) => lesseq(X0,X2))), 2.56/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_trans)). 2.56/2.79 fof(f5,axiom,( 2.56/2.79 ! [X0,X1] : (~lesseq(X1,X0) | max(X0,X1) = X0)), 2.56/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_1)). 2.56/2.79 fof(f6,axiom,( 2.56/2.79 ! [X0,X1] : (lesseq(summation(X0),summation(X1)) <=> lesseq(X0,X1))), 2.56/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',summation_monotone)). 2.56/2.79 fof(f7,axiom,( 2.56/2.79 ! [X0,X1] : ((lesseq(X0,X1) & lesseq(X1,X0)) => X0 = X1)), 2.56/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_antisymmetric)). 2.56/2.79 fof(f8,axiom,( 2.56/2.79 ! [X0,X1,X3] : (model_ub(X0,X1,X3) <=> ? [X2] : (lesseq(summation(X2),X3) & ub(X0,X1,X2)))), 2.56/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_3)). 2.56/2.79 fof(f9,axiom,( 2.56/2.79 ! [X0,X1,X3] : (lesseq(summation(max(X0,X1)),X3) <=> model_max(X0,X1,X3))), 2.56/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_3)). 2.56/2.79 fof(f10,axiom,( 2.56/2.79 ! [X0,X1,X2] : ((lesseq(X0,X2) & lesseq(X1,X2)) <=> ub(X0,X1,X2))), 2.56/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)). 2.56/2.79 fof(f11,axiom,( 2.56/2.79 ! [X0,X1,X3] : ((model_ub(X0,X1,X3) & ! [X2] : (model_ub(X0,X1,X2) => lesseq(X3,X2))) <=> minsol_model_ub(X0,X1,X3))), 2.56/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub)). 2.56/2.79 fof(f13,axiom,( 2.56/2.79 ! [X0,X1] : (~lesseq(X0,X1) | max(X0,X1) = X1)), 2.56/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2)). 2.56/2.79 fof(f14,axiom,( 2.56/2.79 ! [X0,X1,X3] : (minsol_model_max(X0,X1,X3) <=> (model_max(X0,X1,X3) & ! [X2] : (model_max(X0,X1,X2) => lesseq(X3,X2))))), 2.56/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max)). 2.56/2.79 fof(f15,axiom,( 2.56/2.79 ! [X0] : lesseq(X0,X0)), 2.56/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_ref)). 2.56/2.79 fof(f16,plain,( 2.56/2.79 ! [X0,X1,X2] : (minsol_model_max(X0,X1,X2) <=> (model_max(X0,X1,X2) & ! [X3] : (model_max(X0,X1,X3) => lesseq(X2,X3))))), 2.56/2.79 inference(rectify,[],[f14])). 2.56/2.79 fof(f17,plain,( 2.56/2.79 ! [X0,X1,X2] : (model_ub(X0,X1,X2) <=> ? [X3] : (lesseq(summation(X3),X2) & ub(X0,X1,X3)))), 2.56/2.79 inference(rectify,[],[f8])). 2.56/2.79 fof(f18,plain,( 2.56/2.79 ! [X0,X1,X2] : (lesseq(summation(max(X0,X1)),X2) <=> model_max(X0,X1,X2))), 2.56/2.79 inference(rectify,[],[f9])). 2.56/2.79 fof(f19,plain,( 2.56/2.79 ! [X0,X1,X2] : ((model_ub(X0,X1,X2) & ! [X3] : (model_ub(X0,X1,X3) => lesseq(X2,X3))) <=> minsol_model_ub(X0,X1,X2))), 2.56/2.79 inference(rectify,[],[f11])). 2.56/2.79 fof(f20,plain,( 2.56/2.79 ? [X0,X1,X2] : (minsol_model_max(X0,X1,X2) <~> minsol_model_ub(X0,X1,X2))), 2.56/2.79 inference(ennf_transformation,[],[f2])). 2.56/2.79 fof(f21,plain,( 2.56/2.79 ! [X0,X1] : (X0 = X1 | (~lesseq(X0,X1) | ~lesseq(X1,X0)))), 2.56/2.79 inference(ennf_transformation,[],[f7])). 2.56/2.79 fof(f22,plain,( 2.56/2.79 ! [X0,X1] : (X0 = X1 | ~lesseq(X0,X1) | ~lesseq(X1,X0))), 2.56/2.79 inference(flattening,[],[f21])). 2.56/2.79 fof(f23,plain,( 2.56/2.79 ! [X0,X1,X2] : (lesseq(X0,X2) | (~lesseq(X0,X1) | ~lesseq(X1,X2)))), 2.56/2.79 inference(ennf_transformation,[],[f4])). 2.56/2.79 fof(f24,plain,( 2.56/2.79 ! [X0,X1,X2] : (lesseq(X0,X2) | ~lesseq(X0,X1) | ~lesseq(X1,X2))), 2.56/2.79 inference(flattening,[],[f23])). 2.56/2.79 fof(f25,plain,( 2.56/2.79 ! [X0,X1,X2] : (minsol_model_max(X0,X1,X2) <=> (model_max(X0,X1,X2) & ! [X3] : (lesseq(X2,X3) | ~model_max(X0,X1,X3))))), 2.56/2.79 inference(ennf_transformation,[],[f16])). 2.56/2.79 fof(f26,plain,( 2.56/2.79 ! [X0,X1,X2] : ((model_ub(X0,X1,X2) & ! [X3] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3))) <=> minsol_model_ub(X0,X1,X2))), 2.56/2.79 inference(ennf_transformation,[],[f19])). 2.56/2.79 fof(f27,plain,( 2.56/2.79 ? [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)))), 2.56/2.79 inference(nnf_transformation,[],[f20])). 2.56/2.79 fof(f28,plain,( 2.56/2.79 ? [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)))), 2.56/2.79 introduced(choice_axiom,[])). 2.56/2.79 fof(f29,plain,( 2.56/2.79 (~minsol_model_ub(sK0,sK1,sK2) | ~minsol_model_max(sK0,sK1,sK2)) & (minsol_model_ub(sK0,sK1,sK2) | minsol_model_max(sK0,sK1,sK2))), 2.56/2.79 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f28])). 2.56/2.79 fof(f30,plain,( 2.56/2.79 ! [X0,X1] : ((lesseq(summation(X0),summation(X1)) | ~lesseq(X0,X1)) & (lesseq(X0,X1) | ~lesseq(summation(X0),summation(X1))))), 2.56/2.79 inference(nnf_transformation,[],[f6])). 2.56/2.79 fof(f32,plain,( 2.56/2.79 ! [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)))), 2.56/2.79 inference(nnf_transformation,[],[f25])). 2.56/2.79 fof(f33,plain,( 2.56/2.79 ! [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)))), 2.56/2.79 inference(flattening,[],[f32])). 2.56/2.79 fof(f34,plain,( 2.56/2.79 ! [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)))), 2.56/2.79 inference(rectify,[],[f33])). 2.56/2.79 fof(f35,plain,( 2.56/2.79 ! [X2,X1,X0] : (? [X3] : (~lesseq(X2,X3) & model_max(X0,X1,X3)) => (~lesseq(X2,sK3(X0,X1,X2)) & model_max(X0,X1,sK3(X0,X1,X2))))), 2.56/2.79 introduced(choice_axiom,[])). 2.56/2.79 fof(f36,plain,( 2.56/2.79 ! [X0,X1,X2] : ((minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | (~lesseq(X2,sK3(X0,X1,X2)) & model_max(X0,X1,sK3(X0,X1,X2)))) & ((model_max(X0,X1,X2) & ! [X4] : (lesseq(X2,X4) | ~model_max(X0,X1,X4))) | ~minsol_model_max(X0,X1,X2)))), 2.56/2.79 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f34,f35])). 2.56/2.79 fof(f37,plain,( 2.56/2.79 ! [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)))), 2.56/2.79 inference(nnf_transformation,[],[f17])). 2.56/2.79 fof(f38,plain,( 2.56/2.79 ! [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)))), 2.56/2.79 inference(rectify,[],[f37])). 2.56/2.79 fof(f39,plain,( 2.56/2.79 ! [X2,X1,X0] : (? [X4] : (lesseq(summation(X4),X2) & ub(X0,X1,X4)) => (lesseq(summation(sK4(X0,X1,X2)),X2) & ub(X0,X1,sK4(X0,X1,X2))))), 2.56/2.79 introduced(choice_axiom,[])). 2.56/2.79 fof(f40,plain,( 2.56/2.79 ! [X0,X1,X2] : ((model_ub(X0,X1,X2) | ! [X3] : (~lesseq(summation(X3),X2) | ~ub(X0,X1,X3))) & ((lesseq(summation(sK4(X0,X1,X2)),X2) & ub(X0,X1,sK4(X0,X1,X2))) | ~model_ub(X0,X1,X2)))), 2.56/2.79 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f38,f39])). 2.56/2.79 fof(f41,plain,( 2.56/2.79 ! [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)))), 2.56/2.79 inference(nnf_transformation,[],[f18])). 2.56/2.79 fof(f42,plain,( 2.56/2.79 ! [X0,X1,X2] : (((lesseq(X0,X2) & lesseq(X1,X2)) | ~ub(X0,X1,X2)) & (ub(X0,X1,X2) | (~lesseq(X0,X2) | ~lesseq(X1,X2))))), 2.56/2.79 inference(nnf_transformation,[],[f10])). 2.56/2.79 fof(f43,plain,( 2.56/2.79 ! [X0,X1,X2] : (((lesseq(X0,X2) & lesseq(X1,X2)) | ~ub(X0,X1,X2)) & (ub(X0,X1,X2) | ~lesseq(X0,X2) | ~lesseq(X1,X2)))), 2.56/2.79 inference(flattening,[],[f42])). 2.56/2.79 fof(f44,plain,( 2.56/2.79 ! [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)))))), 2.56/2.79 inference(nnf_transformation,[],[f26])). 2.56/2.79 fof(f45,plain,( 2.56/2.79 ! [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))))), 2.56/2.79 inference(flattening,[],[f44])). 2.56/2.79 fof(f46,plain,( 2.56/2.79 ! [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))))), 2.56/2.79 inference(rectify,[],[f45])). 2.56/2.79 fof(f47,plain,( 2.56/2.79 ! [X2,X1,X0] : (? [X4] : (~lesseq(X2,X4) & model_ub(X0,X1,X4)) => (~lesseq(X2,sK5(X0,X1,X2)) & model_ub(X0,X1,sK5(X0,X1,X2))))), 2.56/2.79 introduced(choice_axiom,[])). 2.56/2.79 fof(f48,plain,( 2.56/2.79 ! [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,sK5(X0,X1,X2)) & model_ub(X0,X1,sK5(X0,X1,X2)))))), 2.56/2.79 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f46,f47])). 2.56/2.79 fof(f49,plain,( 2.56/2.79 minsol_model_ub(sK0,sK1,sK2) | minsol_model_max(sK0,sK1,sK2)), 2.56/2.79 inference(cnf_transformation,[],[f29])). 2.56/2.79 fof(f50,plain,( 2.56/2.79 ~minsol_model_ub(sK0,sK1,sK2) | ~minsol_model_max(sK0,sK1,sK2)), 2.56/2.79 inference(cnf_transformation,[],[f29])). 2.56/2.79 fof(f51,plain,( 2.56/2.79 ( ! [X0] : (lesseq(X0,X0)) )), 2.56/2.79 inference(cnf_transformation,[],[f15])). 2.56/2.79 fof(f52,plain,( 2.56/2.79 ( ! [X0,X1] : (lesseq(X0,X1) | lesseq(X1,X0)) )), 2.56/2.79 inference(cnf_transformation,[],[f3])). 2.56/2.79 fof(f53,plain,( 2.56/2.79 ( ! [X0,X1] : (~lesseq(X0,X1) | max(X0,X1) = X1) )), 2.56/2.79 inference(cnf_transformation,[],[f13])). 2.56/2.79 fof(f54,plain,( 2.56/2.79 ( ! [X0,X1] : (~lesseq(X1,X0) | max(X0,X1) = X0) )), 2.56/2.79 inference(cnf_transformation,[],[f5])). 2.56/2.79 fof(f55,plain,( 2.56/2.79 ( ! [X0,X1] : (X0 = X1 | ~lesseq(X0,X1) | ~lesseq(X1,X0)) )), 2.56/2.79 inference(cnf_transformation,[],[f22])). 2.56/2.79 fof(f57,plain,( 2.56/2.79 ( ! [X0,X1] : (lesseq(summation(X0),summation(X1)) | ~lesseq(X0,X1)) )), 2.56/2.79 inference(cnf_transformation,[],[f30])). 2.56/2.79 fof(f58,plain,( 2.56/2.79 ( ! [X2,X0,X1] : (lesseq(X0,X2) | ~lesseq(X0,X1) | ~lesseq(X1,X2)) )), 2.56/2.79 inference(cnf_transformation,[],[f24])). 2.56/2.79 fof(f61,plain,( 2.56/2.79 ( ! [X4,X2,X0,X1] : (lesseq(X2,X4) | ~model_max(X0,X1,X4) | ~minsol_model_max(X0,X1,X2)) )), 2.56/2.79 inference(cnf_transformation,[],[f36])). 2.56/2.79 fof(f62,plain,( 2.56/2.79 ( ! [X2,X0,X1] : (model_max(X0,X1,X2) | ~minsol_model_max(X0,X1,X2)) )), 2.56/2.79 inference(cnf_transformation,[],[f36])). 2.56/2.79 fof(f63,plain,( 2.56/2.79 ( ! [X2,X0,X1] : (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | model_max(X0,X1,sK3(X0,X1,X2))) )), 2.56/2.79 inference(cnf_transformation,[],[f36])). 2.56/2.79 fof(f64,plain,( 2.56/2.79 ( ! [X2,X0,X1] : (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | ~lesseq(X2,sK3(X0,X1,X2))) )), 2.56/2.79 inference(cnf_transformation,[],[f36])). 2.56/2.79 fof(f65,plain,( 2.56/2.79 ( ! [X2,X0,X1] : (ub(X0,X1,sK4(X0,X1,X2)) | ~model_ub(X0,X1,X2)) )), 2.56/2.79 inference(cnf_transformation,[],[f40])). 2.56/2.79 fof(f66,plain,( 2.56/2.79 ( ! [X2,X0,X1] : (lesseq(summation(sK4(X0,X1,X2)),X2) | ~model_ub(X0,X1,X2)) )), 2.56/2.79 inference(cnf_transformation,[],[f40])). 2.56/2.79 fof(f67,plain,( 2.56/2.79 ( ! [X2,X0,X3,X1] : (model_ub(X0,X1,X2) | ~lesseq(summation(X3),X2) | ~ub(X0,X1,X3)) )), 2.56/2.79 inference(cnf_transformation,[],[f40])). 2.56/2.79 fof(f68,plain,( 2.56/2.79 ( ! [X2,X0,X1] : (model_max(X0,X1,X2) | ~lesseq(summation(max(X0,X1)),X2)) )), 2.56/2.79 inference(cnf_transformation,[],[f41])). 2.56/2.79 fof(f69,plain,( 2.56/2.79 ( ! [X2,X0,X1] : (lesseq(summation(max(X0,X1)),X2) | ~model_max(X0,X1,X2)) )), 2.56/2.79 inference(cnf_transformation,[],[f41])). 2.56/2.79 fof(f70,plain,( 2.56/2.79 ( ! [X2,X0,X1] : (ub(X0,X1,X2) | ~lesseq(X0,X2) | ~lesseq(X1,X2)) )), 2.56/2.79 inference(cnf_transformation,[],[f43])). 2.56/2.79 fof(f71,plain,( 2.56/2.79 ( ! [X2,X0,X1] : (lesseq(X1,X2) | ~ub(X0,X1,X2)) )), 2.56/2.79 inference(cnf_transformation,[],[f43])). 2.56/2.79 fof(f72,plain,( 2.56/2.79 ( ! [X2,X0,X1] : (lesseq(X0,X2) | ~ub(X0,X1,X2)) )), 2.56/2.79 inference(cnf_transformation,[],[f43])). 2.56/2.79 fof(f73,plain,( 2.56/2.79 ( ! [X2,X0,X1] : (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | model_ub(X0,X1,sK5(X0,X1,X2))) )), 2.56/2.79 inference(cnf_transformation,[],[f48])). 2.56/2.79 fof(f74,plain,( 2.56/2.79 ( ! [X2,X0,X1] : (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | ~lesseq(X2,sK5(X0,X1,X2))) )), 2.56/2.79 inference(cnf_transformation,[],[f48])). 2.56/2.79 fof(f75,plain,( 2.56/2.79 ( ! [X2,X0,X3,X1] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3) | ~minsol_model_ub(X0,X1,X2)) )), 2.56/2.79 inference(cnf_transformation,[],[f48])). 2.56/2.79 fof(f76,plain,( 2.56/2.79 ( ! [X2,X0,X1] : (model_ub(X0,X1,X2) | ~minsol_model_ub(X0,X1,X2)) )), 2.56/2.79 inference(cnf_transformation,[],[f48])). 2.56/2.79 fof(f78,plain,( 2.56/2.79 spl6_0 <=> minsol_model_max(sK0,sK1,sK2)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_0])])). 2.56/2.79 fof(f79,plain,( 2.56/2.79 minsol_model_max(sK0,sK1,sK2) | ~spl6_0), 2.56/2.79 inference(avatar_component_clause,[],[f78])). 2.56/2.79 fof(f81,plain,( 2.56/2.79 spl6_1 <=> ~minsol_model_max(sK0,sK1,sK2)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_1])])). 2.56/2.79 fof(f82,plain,( 2.56/2.79 ~minsol_model_max(sK0,sK1,sK2) | ~spl6_1), 2.56/2.79 inference(avatar_component_clause,[],[f81])). 2.56/2.79 fof(f84,plain,( 2.56/2.79 spl6_2 <=> minsol_model_ub(sK0,sK1,sK2)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_2])])). 2.56/2.79 fof(f85,plain,( 2.56/2.79 minsol_model_ub(sK0,sK1,sK2) | ~spl6_2), 2.56/2.79 inference(avatar_component_clause,[],[f84])). 2.56/2.79 fof(f87,plain,( 2.56/2.79 spl6_3 <=> ~minsol_model_ub(sK0,sK1,sK2)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_3])])). 2.56/2.79 fof(f88,plain,( 2.56/2.79 ~minsol_model_ub(sK0,sK1,sK2) | ~spl6_3), 2.56/2.79 inference(avatar_component_clause,[],[f87])). 2.56/2.79 fof(f89,plain,( 2.56/2.79 ~spl6_1 | ~spl6_3), 2.56/2.79 inference(avatar_split_clause,[],[f50,f87,f81])). 2.56/2.79 fof(f90,plain,( 2.56/2.79 spl6_0 | spl6_2), 2.56/2.79 inference(avatar_split_clause,[],[f49,f84,f78])). 2.56/2.79 fof(f97,plain,( 2.56/2.79 spl6_4 <=> model_max(sK0,sK1,sK3(sK0,sK1,sK2))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_4])])). 2.56/2.79 fof(f98,plain,( 2.56/2.79 model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_4), 2.56/2.79 inference(avatar_component_clause,[],[f97])). 2.56/2.79 fof(f100,plain,( 2.56/2.79 spl6_6 <=> model_max(sK0,sK1,sK2)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_6])])). 2.56/2.79 fof(f101,plain,( 2.56/2.79 model_max(sK0,sK1,sK2) | ~spl6_6), 2.56/2.79 inference(avatar_component_clause,[],[f100])). 2.56/2.79 fof(f103,plain,( 2.56/2.79 spl6_7 <=> ~model_max(sK0,sK1,sK2)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_7])])). 2.56/2.79 fof(f104,plain,( 2.56/2.79 ~model_max(sK0,sK1,sK2) | ~spl6_7), 2.56/2.79 inference(avatar_component_clause,[],[f103])). 2.56/2.79 fof(f107,plain,( 2.56/2.79 spl6_8 <=> lesseq(sK2,sK3(sK0,sK1,sK2))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_8])])). 2.56/2.79 fof(f110,plain,( 2.56/2.79 spl6_9 <=> ~lesseq(sK2,sK3(sK0,sK1,sK2))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_9])])). 2.56/2.79 fof(f116,plain,( 2.56/2.79 spl6_11 <=> ~model_ub(sK0,sK1,sK2)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_11])])). 2.56/2.79 fof(f117,plain,( 2.56/2.79 ~model_ub(sK0,sK1,sK2) | ~spl6_11), 2.56/2.79 inference(avatar_component_clause,[],[f116])). 2.56/2.79 fof(f119,plain,( 2.56/2.79 spl6_10 <=> model_ub(sK0,sK1,sK2)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_10])])). 2.56/2.79 fof(f120,plain,( 2.56/2.79 model_ub(sK0,sK1,sK2) | ~spl6_10), 2.56/2.79 inference(avatar_component_clause,[],[f119])). 2.56/2.79 fof(f135,plain,( 2.56/2.79 spl6_12 <=> lesseq(summation(max(sK0,sK1)),sK2)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_12])])). 2.56/2.79 fof(f136,plain,( 2.56/2.79 lesseq(summation(max(sK0,sK1)),sK2) | ~spl6_12), 2.56/2.79 inference(avatar_component_clause,[],[f135])). 2.56/2.79 fof(f138,plain,( 2.56/2.79 spl6_13 <=> ~lesseq(summation(max(sK0,sK1)),sK2)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_13])])). 2.56/2.79 fof(f139,plain,( 2.56/2.79 ~lesseq(summation(max(sK0,sK1)),sK2) | ~spl6_13), 2.56/2.79 inference(avatar_component_clause,[],[f138])). 2.56/2.79 fof(f150,plain,( 2.56/2.79 spl6_14 <=> ub(sK0,sK1,sK4(sK0,sK1,sK2))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_14])])). 2.56/2.79 fof(f151,plain,( 2.56/2.79 ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_14), 2.56/2.79 inference(avatar_component_clause,[],[f150])). 2.56/2.79 fof(f157,plain,( 2.56/2.79 spl6_16 <=> lesseq(summation(sK4(sK0,sK1,sK2)),sK2)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_16])])). 2.56/2.79 fof(f158,plain,( 2.56/2.79 lesseq(summation(sK4(sK0,sK1,sK2)),sK2) | ~spl6_16), 2.56/2.79 inference(avatar_component_clause,[],[f157])). 2.56/2.79 fof(f177,plain,( 2.56/2.79 spl6_19 <=> ~lesseq(sK2,summation(max(sK0,sK1)))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_19])])). 2.56/2.79 fof(f180,plain,( 2.56/2.79 spl6_18 <=> lesseq(sK2,summation(max(sK0,sK1)))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_18])])). 2.56/2.79 fof(f181,plain,( 2.56/2.79 lesseq(sK2,summation(max(sK0,sK1))) | ~spl6_18), 2.56/2.79 inference(avatar_component_clause,[],[f180])). 2.56/2.79 fof(f195,plain,( 2.56/2.79 spl6_23 <=> ~lesseq(sK1,sK0)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_23])])). 2.56/2.79 fof(f196,plain,( 2.56/2.79 ~lesseq(sK1,sK0) | ~spl6_23), 2.56/2.79 inference(avatar_component_clause,[],[f195])). 2.56/2.79 fof(f198,plain,( 2.56/2.79 spl6_24 <=> lesseq(summation(sK0),sK2)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_24])])). 2.56/2.79 fof(f199,plain,( 2.56/2.79 lesseq(summation(sK0),sK2) | ~spl6_24), 2.56/2.79 inference(avatar_component_clause,[],[f198])). 2.56/2.79 fof(f201,plain,( 2.56/2.79 spl6_25 <=> ~lesseq(summation(sK0),sK2)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_25])])). 2.56/2.79 fof(f205,plain,( 2.56/2.79 spl6_26 <=> lesseq(sK0,sK1)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_26])])). 2.56/2.79 fof(f206,plain,( 2.56/2.79 lesseq(sK0,sK1) | ~spl6_26), 2.56/2.79 inference(avatar_component_clause,[],[f205])). 2.56/2.79 fof(f208,plain,( 2.56/2.79 spl6_27 <=> ~lesseq(sK0,sK1)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_27])])). 2.56/2.79 fof(f211,plain,( 2.56/2.79 spl6_28 <=> lesseq(summation(sK1),sK2)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_28])])). 2.56/2.79 fof(f212,plain,( 2.56/2.79 lesseq(summation(sK1),sK2) | ~spl6_28), 2.56/2.79 inference(avatar_component_clause,[],[f211])). 2.56/2.79 fof(f214,plain,( 2.56/2.79 spl6_29 <=> ~lesseq(summation(sK1),sK2)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_29])])). 2.56/2.79 fof(f252,plain,( 2.56/2.79 spl6_35 <=> ~lesseq(sK2,sK5(sK0,sK1,sK2))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_35])])). 2.56/2.79 fof(f253,plain,( 2.56/2.79 ~lesseq(sK2,sK5(sK0,sK1,sK2)) | ~spl6_35), 2.56/2.79 inference(avatar_component_clause,[],[f252])). 2.56/2.79 fof(f256,plain,( 2.56/2.79 spl6_37 <=> ~model_ub(sK0,sK1,sK5(sK0,sK1,sK2))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_37])])). 2.56/2.79 fof(f257,plain,( 2.56/2.79 ~model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_37), 2.56/2.79 inference(avatar_component_clause,[],[f256])). 2.56/2.79 fof(f259,plain,( 2.56/2.79 spl6_36 <=> model_ub(sK0,sK1,sK5(sK0,sK1,sK2))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_36])])). 2.56/2.79 fof(f260,plain,( 2.56/2.79 model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_36), 2.56/2.79 inference(avatar_component_clause,[],[f259])). 2.56/2.79 fof(f324,plain,( 2.56/2.79 spl6_44 <=> lesseq(summation(max(sK0,sK1)),sK3(sK0,sK1,sK2))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_44])])). 2.56/2.79 fof(f325,plain,( 2.56/2.79 lesseq(summation(max(sK0,sK1)),sK3(sK0,sK1,sK2)) | ~spl6_44), 2.56/2.79 inference(avatar_component_clause,[],[f324])). 2.56/2.79 fof(f376,plain,( 2.56/2.79 spl6_57 <=> summation(max(sK0,sK1)) != sK2), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_57])])). 2.56/2.79 fof(f377,plain,( 2.56/2.79 summation(max(sK0,sK1)) != sK2 | ~spl6_57), 2.56/2.79 inference(avatar_component_clause,[],[f376])). 2.56/2.79 fof(f379,plain,( 2.56/2.79 spl6_56 <=> summation(max(sK0,sK1)) = sK2), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_56])])). 2.56/2.79 fof(f553,plain,( 2.56/2.79 spl6_72 <=> lesseq(sK1,sK4(sK0,sK1,sK2))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_72])])). 2.56/2.79 fof(f554,plain,( 2.56/2.79 lesseq(sK1,sK4(sK0,sK1,sK2)) | ~spl6_72), 2.56/2.79 inference(avatar_component_clause,[],[f553])). 2.56/2.79 fof(f560,plain,( 2.56/2.79 spl6_74 <=> lesseq(sK0,sK4(sK0,sK1,sK2))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_74])])). 2.56/2.79 fof(f561,plain,( 2.56/2.79 lesseq(sK0,sK4(sK0,sK1,sK2)) | ~spl6_74), 2.56/2.79 inference(avatar_component_clause,[],[f560])). 2.56/2.79 fof(f582,plain,( 2.56/2.79 spl6_76 <=> max(sK0,sK1) = sK1), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_76])])). 2.56/2.79 fof(f583,plain,( 2.56/2.79 max(sK0,sK1) = sK1 | ~spl6_76), 2.56/2.79 inference(avatar_component_clause,[],[f582])). 2.56/2.79 fof(f705,plain,( 2.56/2.79 spl6_90 <=> lesseq(sK2,summation(sK4(sK0,sK1,sK2)))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_90])])). 2.56/2.79 fof(f708,plain,( 2.56/2.79 spl6_91 <=> ~lesseq(sK2,summation(sK4(sK0,sK1,sK2)))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_91])])). 2.56/2.79 fof(f714,plain,( 2.56/2.79 spl6_92 <=> summation(sK4(sK0,sK1,sK2)) = sK2), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_92])])). 2.56/2.79 fof(f758,plain,( 2.56/2.79 spl6_96 <=> lesseq(sK2,summation(sK0))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_96])])). 2.56/2.79 fof(f761,plain,( 2.56/2.79 spl6_97 <=> ~lesseq(sK2,summation(sK0))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_97])])). 2.56/2.79 fof(f764,plain,( 2.56/2.79 spl6_99 <=> summation(sK0) != sK2), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_99])])). 2.56/2.79 fof(f767,plain,( 2.56/2.79 spl6_98 <=> summation(sK0) = sK2), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_98])])). 2.56/2.79 fof(f768,plain,( 2.56/2.79 summation(sK0) = sK2 | ~spl6_98), 2.56/2.79 inference(avatar_component_clause,[],[f767])). 2.56/2.79 fof(f876,plain,( 2.56/2.79 spl6_106 <=> lesseq(sK2,summation(sK1))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_106])])). 2.56/2.79 fof(f879,plain,( 2.56/2.79 spl6_107 <=> ~lesseq(sK2,summation(sK1))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_107])])). 2.56/2.79 fof(f885,plain,( 2.56/2.79 spl6_108 <=> summation(sK1) = sK2), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_108])])). 2.56/2.79 fof(f886,plain,( 2.56/2.79 summation(sK1) = sK2 | ~spl6_108), 2.56/2.79 inference(avatar_component_clause,[],[f885])). 2.56/2.79 fof(f1143,plain,( 2.56/2.79 lesseq(summation(sK0),sK2) | ~lesseq(sK1,sK0) | ~spl6_12), 2.56/2.79 inference(superposition,[],[f136,f54])). 2.56/2.79 fof(f1150,plain,( 2.56/2.79 ~spl6_23 | spl6_24 | ~spl6_12), 2.56/2.79 inference(avatar_split_clause,[],[f1143,f135,f198,f195])). 2.56/2.79 fof(f1373,plain,( 2.56/2.79 spl6_164 <=> ub(sK0,sK1,sK4(sK0,sK1,sK5(sK0,sK1,sK2)))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_164])])). 2.56/2.79 fof(f1374,plain,( 2.56/2.79 ub(sK0,sK1,sK4(sK0,sK1,sK5(sK0,sK1,sK2))) | ~spl6_164), 2.56/2.79 inference(avatar_component_clause,[],[f1373])). 2.56/2.79 fof(f1380,plain,( 2.56/2.79 spl6_166 <=> lesseq(summation(sK4(sK0,sK1,sK5(sK0,sK1,sK2))),sK5(sK0,sK1,sK2))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_166])])). 2.56/2.79 fof(f1381,plain,( 2.56/2.79 lesseq(summation(sK4(sK0,sK1,sK5(sK0,sK1,sK2))),sK5(sK0,sK1,sK2)) | ~spl6_166), 2.56/2.79 inference(avatar_component_clause,[],[f1380])). 2.56/2.79 fof(f1539,plain,( 2.56/2.79 spl6_179 <=> ~lesseq(sK2,sK2)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_179])])). 2.56/2.79 fof(f1622,plain,( 2.56/2.79 ~lesseq(summation(sK0),sK2) | ~lesseq(sK1,sK0) | ~spl6_13), 2.56/2.79 inference(superposition,[],[f139,f54])). 2.56/2.79 fof(f1627,plain,( 2.56/2.79 ~spl6_23 | ~spl6_25 | spl6_13), 2.56/2.79 inference(avatar_split_clause,[],[f1622,f138,f201,f195])). 2.56/2.79 fof(f1869,plain,( 2.56/2.79 lesseq(summation(sK1),sK2) | ~lesseq(sK0,sK1) | ~spl6_12), 2.56/2.79 inference(superposition,[],[f136,f53])). 2.56/2.79 fof(f1875,plain,( 2.56/2.79 ~spl6_27 | spl6_28 | ~spl6_12), 2.56/2.79 inference(avatar_split_clause,[],[f1869,f135,f211,f208])). 2.56/2.79 fof(f1966,plain,( 2.56/2.79 summation(sK0) != sK2 | ~lesseq(sK1,sK0) | ~spl6_57), 2.56/2.79 inference(superposition,[],[f377,f54])). 2.56/2.79 fof(f1968,plain,( 2.56/2.79 ~spl6_23 | ~spl6_99 | spl6_57), 2.56/2.79 inference(avatar_split_clause,[],[f1966,f376,f764,f195])). 2.56/2.79 fof(f2011,plain,( 2.56/2.79 spl6_216 <=> lesseq(summation(sK1),summation(sK4(sK0,sK1,sK2)))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_216])])). 2.56/2.79 fof(f2040,plain,( 2.56/2.79 ( ! [X0] : (~model_max(sK0,sK1,X0) | lesseq(sK2,X0)) ) | ~spl6_0), 2.56/2.79 inference(resolution,[],[f79,f61])). 2.56/2.79 fof(f2046,plain,( 2.56/2.79 ( ! [X0] : (~ub(sK0,sK1,X0) | ~lesseq(summation(X0),sK2)) ) | ~spl6_11), 2.56/2.79 inference(resolution,[],[f117,f67])). 2.56/2.79 fof(f2066,plain,( 2.56/2.79 ( ! [X1] : (~lesseq(summation(max(sK0,sK1)),X1) | lesseq(sK2,X1)) ) | ~spl6_0), 2.56/2.79 inference(resolution,[],[f2040,f68])). 2.56/2.79 fof(f2101,plain,( 2.56/2.79 ( ! [X1] : (~lesseq(summation(X1),sK2) | ~lesseq(sK0,X1) | ~lesseq(sK1,X1)) ) | ~spl6_11), 2.56/2.79 inference(resolution,[],[f2046,f70])). 2.56/2.79 fof(f2120,plain,( 2.56/2.79 lesseq(sK2,summation(max(sK0,sK1))) | ~spl6_0), 2.56/2.79 inference(resolution,[],[f2066,f51])). 2.56/2.79 fof(f2130,plain,( 2.56/2.79 ( ! [X0] : (~lesseq(summation(sK0),X0) | lesseq(sK2,X0) | ~lesseq(sK1,sK0)) ) | ~spl6_0), 2.56/2.79 inference(superposition,[],[f2066,f54])). 2.56/2.79 fof(f2132,plain,( 2.56/2.79 spl6_18 | ~spl6_0), 2.56/2.79 inference(avatar_split_clause,[],[f2120,f78,f180])). 2.56/2.79 fof(f2134,plain,( 2.56/2.79 spl6_222 <=> ! [X0] : (~lesseq(summation(sK0),X0) | lesseq(sK2,X0))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_222])])). 2.56/2.79 fof(f2135,plain,( 2.56/2.79 ( ! [X0] : (~lesseq(summation(sK0),X0) | lesseq(sK2,X0)) ) | ~spl6_222), 2.56/2.79 inference(avatar_component_clause,[],[f2134])). 2.56/2.79 fof(f2136,plain,( 2.56/2.79 ~spl6_23 | spl6_222 | ~spl6_0), 2.56/2.79 inference(avatar_split_clause,[],[f2130,f78,f2134,f195])). 2.56/2.79 fof(f2697,plain,( 2.56/2.79 ~lesseq(sK2,sK2) | ~lesseq(sK0,sK0) | ~lesseq(sK1,sK0) | (~spl6_11 | ~spl6_98)), 2.56/2.79 inference(superposition,[],[f2101,f768])). 2.56/2.79 fof(f2702,plain,( 2.56/2.79 spl6_273 <=> ~lesseq(sK0,sK0)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_273])])). 2.56/2.79 fof(f2703,plain,( 2.56/2.79 ~lesseq(sK0,sK0) | ~spl6_273), 2.56/2.79 inference(avatar_component_clause,[],[f2702])). 2.56/2.79 fof(f2704,plain,( 2.56/2.79 ~spl6_23 | ~spl6_273 | ~spl6_179 | spl6_11 | ~spl6_98), 2.56/2.79 inference(avatar_split_clause,[],[f2697,f767,f116,f1539,f2702,f195])). 2.56/2.79 fof(f2709,plain,( 2.56/2.79 $false | ~spl6_273), 2.56/2.79 inference(resolution,[],[f2703,f51])). 2.56/2.79 fof(f2719,plain,( 2.56/2.79 spl6_273), 2.56/2.79 inference(avatar_contradiction_clause,[],[f2709])). 2.56/2.79 fof(f2748,plain,( 2.56/2.79 ub(sK0,sK1,sK4(sK0,sK1,sK5(sK0,sK1,sK2))) | ~spl6_36), 2.56/2.79 inference(resolution,[],[f260,f65])). 2.56/2.79 fof(f2749,plain,( 2.56/2.79 lesseq(summation(sK4(sK0,sK1,sK5(sK0,sK1,sK2))),sK5(sK0,sK1,sK2)) | ~spl6_36), 2.56/2.79 inference(resolution,[],[f260,f66])). 2.56/2.79 fof(f2752,plain,( 2.56/2.79 spl6_164 | ~spl6_36), 2.56/2.79 inference(avatar_split_clause,[],[f2748,f259,f1373])). 2.56/2.79 fof(f2753,plain,( 2.56/2.79 spl6_166 | ~spl6_36), 2.56/2.79 inference(avatar_split_clause,[],[f2749,f259,f1380])). 2.56/2.79 fof(f2776,plain,( 2.56/2.79 lesseq(summation(sK0),summation(sK4(sK0,sK1,sK2))) | ~spl6_74), 2.56/2.79 inference(resolution,[],[f561,f57])). 2.56/2.79 fof(f2787,plain,( 2.56/2.79 lesseq(sK2,summation(sK4(sK0,sK1,sK2))) | (~spl6_74 | ~spl6_98)), 2.56/2.79 inference(forward_demodulation,[],[f2776,f768])). 2.56/2.79 fof(f2788,plain,( 2.56/2.79 spl6_90 | ~spl6_74 | ~spl6_98), 2.56/2.79 inference(avatar_split_clause,[],[f2787,f767,f560,f705])). 2.56/2.79 fof(f2835,plain,( 2.56/2.79 lesseq(sK0,sK4(sK0,sK1,sK5(sK0,sK1,sK2))) | ~spl6_164), 2.56/2.79 inference(resolution,[],[f1374,f72])). 2.56/2.79 fof(f2841,plain,( 2.56/2.79 spl6_274 <=> lesseq(sK1,sK4(sK0,sK1,sK5(sK0,sK1,sK2)))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_274])])). 2.56/2.79 fof(f2842,plain,( 2.56/2.79 lesseq(sK1,sK4(sK0,sK1,sK5(sK0,sK1,sK2))) | ~spl6_274), 2.56/2.79 inference(avatar_component_clause,[],[f2841])). 2.56/2.79 fof(f2848,plain,( 2.56/2.79 spl6_276 <=> lesseq(sK0,sK4(sK0,sK1,sK5(sK0,sK1,sK2)))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_276])])). 2.56/2.79 fof(f2849,plain,( 2.56/2.79 lesseq(sK0,sK4(sK0,sK1,sK5(sK0,sK1,sK2))) | ~spl6_276), 2.56/2.79 inference(avatar_component_clause,[],[f2848])). 2.56/2.79 fof(f2850,plain,( 2.56/2.79 spl6_276 | ~spl6_164), 2.56/2.79 inference(avatar_split_clause,[],[f2835,f1373,f2848])). 2.56/2.79 fof(f2987,plain,( 2.56/2.79 spl6_295 <=> ~ub(sK0,sK1,sK0)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_295])])). 2.56/2.79 fof(f2988,plain,( 2.56/2.79 ~ub(sK0,sK1,sK0) | ~spl6_295), 2.56/2.79 inference(avatar_component_clause,[],[f2987])). 2.56/2.79 fof(f2990,plain,( 2.56/2.79 spl6_294 <=> ub(sK0,sK1,sK0)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_294])])). 2.56/2.79 fof(f2991,plain,( 2.56/2.79 ub(sK0,sK1,sK0) | ~spl6_294), 2.56/2.79 inference(avatar_component_clause,[],[f2990])). 2.56/2.79 fof(f3067,plain,( 2.56/2.79 spl6_300 <=> lesseq(sK2,summation(sK4(sK0,sK1,sK5(sK0,sK1,sK2))))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_300])])). 2.56/2.79 fof(f3070,plain,( 2.56/2.79 spl6_301 <=> ~lesseq(sK2,summation(sK4(sK0,sK1,sK5(sK0,sK1,sK2))))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_301])])). 2.56/2.79 fof(f4198,plain,( 2.56/2.79 lesseq(summation(sK1),summation(sK4(sK0,sK1,sK5(sK0,sK1,sK2)))) | ~spl6_274), 2.56/2.79 inference(resolution,[],[f2842,f57])). 2.56/2.79 fof(f4236,plain,( 2.56/2.79 spl6_450 <=> lesseq(summation(sK1),summation(sK4(sK0,sK1,sK5(sK0,sK1,sK2))))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_450])])). 2.56/2.79 fof(f4238,plain,( 2.56/2.79 spl6_450 | ~spl6_274), 2.56/2.79 inference(avatar_split_clause,[],[f4198,f2841,f4236])). 2.56/2.79 fof(f4244,plain,( 2.56/2.79 lesseq(summation(sK0),summation(sK4(sK0,sK1,sK5(sK0,sK1,sK2)))) | ~spl6_276), 2.56/2.79 inference(resolution,[],[f2849,f57])). 2.56/2.79 fof(f4279,plain,( 2.56/2.79 lesseq(sK2,summation(sK4(sK0,sK1,sK5(sK0,sK1,sK2)))) | (~spl6_98 | ~spl6_276)), 2.56/2.79 inference(forward_demodulation,[],[f4244,f768])). 2.56/2.79 fof(f4280,plain,( 2.56/2.79 spl6_300 | ~spl6_98 | ~spl6_276), 2.56/2.79 inference(avatar_split_clause,[],[f4279,f2848,f767,f3067])). 2.56/2.79 fof(f4351,plain,( 2.56/2.79 spl6_470 <=> lesseq(summation(sK0),summation(sK4(sK0,sK1,sK2)))), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_470])])). 2.56/2.79 fof(f4415,plain,( 2.56/2.79 ( ! [X0] : (~model_ub(sK0,sK1,X0) | lesseq(sK2,X0)) ) | ~spl6_2), 2.56/2.79 inference(resolution,[],[f85,f75])). 2.56/2.79 fof(f4417,plain,( 2.56/2.79 ~lesseq(summation(max(sK0,sK1)),sK2) | ~spl6_7), 2.56/2.79 inference(resolution,[],[f104,f68])). 2.56/2.79 fof(f4419,plain,( 2.56/2.79 ~spl6_13 | spl6_7), 2.56/2.79 inference(avatar_split_clause,[],[f4417,f103,f138])). 2.56/2.79 fof(f4424,plain,( 2.56/2.79 ( ! [X2,X3] : (~ub(sK0,sK1,X3) | ~lesseq(summation(X3),X2) | lesseq(sK2,X2)) ) | ~spl6_2), 2.56/2.79 inference(resolution,[],[f4415,f67])). 2.56/2.79 fof(f4452,plain,( 2.56/2.79 ~lesseq(summation(sK1),sK2) | ~lesseq(sK0,sK1) | ~spl6_13), 2.56/2.79 inference(superposition,[],[f139,f53])). 2.56/2.79 fof(f4456,plain,( 2.56/2.79 ~spl6_27 | ~spl6_29 | spl6_13), 2.56/2.79 inference(avatar_split_clause,[],[f4452,f138,f214,f208])). 2.56/2.79 fof(f4478,plain,( 2.56/2.79 summation(sK0) = sK2 | ~lesseq(sK2,summation(sK0)) | ~spl6_24), 2.56/2.79 inference(resolution,[],[f199,f55])). 2.56/2.79 fof(f4488,plain,( 2.56/2.79 ~spl6_97 | spl6_98 | ~spl6_24), 2.56/2.79 inference(avatar_split_clause,[],[f4478,f198,f767,f761])). 2.56/2.79 fof(f4490,plain,( 2.56/2.79 lesseq(sK1,sK4(sK0,sK1,sK2)) | ~spl6_14), 2.56/2.79 inference(resolution,[],[f151,f71])). 2.56/2.79 fof(f4493,plain,( 2.56/2.79 spl6_72 | ~spl6_14), 2.56/2.79 inference(avatar_split_clause,[],[f4490,f150,f553])). 2.56/2.79 fof(f4527,plain,( 2.56/2.79 ( ! [X1] : (~lesseq(summation(sK4(sK0,sK1,sK2)),X1) | lesseq(sK2,X1)) ) | (~spl6_2 | ~spl6_14)), 2.56/2.79 inference(resolution,[],[f4424,f151])). 2.56/2.79 fof(f4555,plain,( 2.56/2.79 lesseq(sK2,summation(sK1)) | ~lesseq(sK0,sK1) | ~spl6_18), 2.56/2.79 inference(superposition,[],[f181,f53])). 2.56/2.79 fof(f4559,plain,( 2.56/2.79 ~spl6_27 | spl6_106 | ~spl6_18), 2.56/2.79 inference(avatar_split_clause,[],[f4555,f180,f876,f208])). 2.56/2.79 fof(f4577,plain,( 2.56/2.79 lesseq(summation(sK1),summation(sK4(sK0,sK1,sK2))) | ~spl6_72), 2.56/2.79 inference(resolution,[],[f554,f57])). 2.56/2.79 fof(f4587,plain,( 2.56/2.79 spl6_216 | ~spl6_72), 2.56/2.79 inference(avatar_split_clause,[],[f4577,f553,f2011])). 2.56/2.79 fof(f4642,plain,( 2.56/2.79 lesseq(sK2,summation(sK0)) | ~spl6_222), 2.56/2.79 inference(resolution,[],[f2135,f51])). 2.56/2.79 fof(f4653,plain,( 2.56/2.79 spl6_96 | ~spl6_222), 2.56/2.79 inference(avatar_split_clause,[],[f4642,f2134,f758])). 2.56/2.79 fof(f4961,plain,( 2.56/2.79 lesseq(sK2,summation(sK4(sK0,sK1,sK2))) | (~spl6_2 | ~spl6_14)), 2.56/2.79 inference(resolution,[],[f4527,f51])). 2.56/2.79 fof(f4973,plain,( 2.56/2.79 spl6_90 | ~spl6_2 | ~spl6_14), 2.56/2.79 inference(avatar_split_clause,[],[f4961,f150,f84,f705])). 2.56/2.79 fof(f5016,plain,( 2.56/2.79 model_max(sK0,sK1,sK2) | ~spl6_0), 2.56/2.79 inference(resolution,[],[f79,f62])). 2.56/2.79 fof(f5017,plain,( 2.56/2.79 spl6_6 | ~spl6_0), 2.56/2.79 inference(avatar_split_clause,[],[f5016,f78,f100])). 2.56/2.79 fof(f5019,plain,( 2.56/2.79 ~model_ub(sK0,sK1,sK2) | ~lesseq(sK2,sK5(sK0,sK1,sK2)) | ~spl6_3), 2.56/2.79 inference(resolution,[],[f88,f74])). 2.56/2.79 fof(f5021,plain,( 2.56/2.79 ~spl6_35 | ~spl6_11 | spl6_3), 2.56/2.79 inference(avatar_split_clause,[],[f5019,f87,f116,f252])). 2.56/2.79 fof(f5022,plain,( 2.56/2.79 lesseq(summation(max(sK0,sK1)),sK2) | ~spl6_6), 2.56/2.79 inference(resolution,[],[f101,f69])). 2.56/2.79 fof(f5026,plain,( 2.56/2.79 spl6_12 | ~spl6_6), 2.56/2.79 inference(avatar_split_clause,[],[f5022,f100,f135])). 2.56/2.79 fof(f5028,plain,( 2.56/2.79 ( ! [X0] : (~ub(sK0,sK1,X0) | ~lesseq(summation(X0),sK2)) ) | ~spl6_11), 2.56/2.79 inference(resolution,[],[f117,f67])). 2.56/2.79 fof(f5094,plain,( 2.56/2.79 minsol_model_ub(sK0,sK1,sK2) | ~model_ub(sK0,sK1,sK2) | ~spl6_37), 2.56/2.79 inference(resolution,[],[f257,f73])). 2.56/2.79 fof(f5111,plain,( 2.56/2.79 ( ! [X1] : (~lesseq(summation(X1),sK2) | ~lesseq(sK0,X1) | ~lesseq(sK1,X1)) ) | ~spl6_11), 2.56/2.79 inference(resolution,[],[f5028,f70])). 2.56/2.79 fof(f5310,plain,( 2.56/2.79 ~lesseq(sK2,sK2) | ~lesseq(sK0,sK1) | ~lesseq(sK1,sK1) | (~spl6_11 | ~spl6_108)), 2.56/2.79 inference(superposition,[],[f5111,f886])). 2.56/2.79 fof(f5315,plain,( 2.56/2.79 spl6_513 <=> ~lesseq(sK1,sK1)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_513])])). 2.56/2.79 fof(f5316,plain,( 2.56/2.79 ~lesseq(sK1,sK1) | ~spl6_513), 2.56/2.79 inference(avatar_component_clause,[],[f5315])). 2.56/2.79 fof(f5317,plain,( 2.56/2.79 ~spl6_513 | ~spl6_27 | ~spl6_179 | spl6_11 | ~spl6_108), 2.56/2.79 inference(avatar_split_clause,[],[f5310,f885,f116,f1539,f208,f5315])). 2.56/2.79 fof(f5322,plain,( 2.56/2.79 $false | ~spl6_513), 2.56/2.79 inference(resolution,[],[f5316,f51])). 2.56/2.79 fof(f5332,plain,( 2.56/2.79 spl6_513), 2.56/2.79 inference(avatar_contradiction_clause,[],[f5322])). 2.56/2.79 fof(f5348,plain,( 2.56/2.79 summation(sK4(sK0,sK1,sK2)) != sK2 | ~lesseq(summation(sK0),summation(sK4(sK0,sK1,sK2))) | lesseq(summation(sK0),sK2)), 2.56/2.79 introduced(theory_axiom,[])). 2.56/2.79 fof(f5352,plain,( 2.56/2.79 summation(sK4(sK0,sK1,sK2)) != sK2 | lesseq(summation(sK1),sK2) | ~lesseq(summation(sK1),summation(sK4(sK0,sK1,sK2)))), 2.56/2.79 introduced(theory_axiom,[])). 2.56/2.79 fof(f5357,plain,( 2.56/2.79 max(sK0,sK1) != sK1 | summation(max(sK0,sK1)) != sK2 | lesseq(sK2,summation(sK4(sK0,sK1,sK5(sK0,sK1,sK2)))) | ~lesseq(summation(sK1),summation(sK4(sK0,sK1,sK5(sK0,sK1,sK2))))), 2.56/2.79 introduced(theory_axiom,[])). 2.56/2.79 fof(f5358,plain,( 2.56/2.79 summation(max(sK0,sK1)) != sK2 | lesseq(sK2,sK2) | ~lesseq(summation(max(sK0,sK1)),sK2)), 2.56/2.79 introduced(theory_axiom,[])). 2.56/2.79 fof(f5359,plain,( 2.56/2.79 summation(max(sK0,sK1)) != sK2 | lesseq(sK2,sK3(sK0,sK1,sK2)) | ~lesseq(summation(max(sK0,sK1)),sK3(sK0,sK1,sK2))), 2.56/2.79 introduced(theory_axiom,[])). 2.56/2.79 fof(f5370,plain,( 2.56/2.79 ~spl6_11 | spl6_2 | spl6_37), 2.56/2.79 inference(avatar_split_clause,[],[f5094,f256,f84,f116])). 2.56/2.79 fof(f5375,plain,( 2.56/2.79 ~model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_1), 2.56/2.79 inference(resolution,[],[f82,f63])). 2.56/2.79 fof(f5376,plain,( 2.56/2.79 ~model_max(sK0,sK1,sK2) | ~lesseq(sK2,sK3(sK0,sK1,sK2)) | ~spl6_1), 2.56/2.79 inference(resolution,[],[f82,f64])). 2.56/2.79 fof(f5377,plain,( 2.56/2.79 spl6_4 | ~spl6_7 | spl6_1), 2.56/2.79 inference(avatar_split_clause,[],[f5375,f81,f103,f97])). 2.56/2.79 fof(f5378,plain,( 2.56/2.79 ~spl6_9 | ~spl6_7 | spl6_1), 2.56/2.79 inference(avatar_split_clause,[],[f5376,f81,f103,f110])). 2.56/2.79 fof(f5379,plain,( 2.56/2.79 ( ! [X0] : (~model_ub(sK0,sK1,X0) | lesseq(sK2,X0)) ) | ~spl6_2), 2.56/2.79 inference(resolution,[],[f85,f75])). 2.56/2.79 fof(f5380,plain,( 2.56/2.79 model_ub(sK0,sK1,sK2) | ~spl6_2), 2.56/2.79 inference(resolution,[],[f85,f76])). 2.56/2.79 fof(f5381,plain,( 2.56/2.79 spl6_10 | ~spl6_2), 2.56/2.79 inference(avatar_split_clause,[],[f5380,f84,f119])). 2.56/2.79 fof(f5385,plain,( 2.56/2.79 ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_10), 2.56/2.79 inference(resolution,[],[f120,f65])). 2.56/2.79 fof(f5386,plain,( 2.56/2.79 lesseq(summation(sK4(sK0,sK1,sK2)),sK2) | ~spl6_10), 2.56/2.79 inference(resolution,[],[f120,f66])). 2.56/2.79 fof(f5387,plain,( 2.56/2.79 spl6_14 | ~spl6_10), 2.56/2.79 inference(avatar_split_clause,[],[f5385,f119,f150])). 2.56/2.79 fof(f5388,plain,( 2.56/2.79 spl6_16 | ~spl6_10), 2.56/2.79 inference(avatar_split_clause,[],[f5386,f119,f157])). 2.56/2.79 fof(f5416,plain,( 2.56/2.79 lesseq(summation(max(sK0,sK1)),sK3(sK0,sK1,sK2)) | ~spl6_4), 2.56/2.79 inference(resolution,[],[f98,f69])). 2.56/2.79 fof(f5420,plain,( 2.56/2.79 spl6_44 | ~spl6_4), 2.56/2.79 inference(avatar_split_clause,[],[f5416,f97,f324])). 2.56/2.79 fof(f5426,plain,( 2.56/2.79 ( ! [X2,X1] : (~ub(sK0,sK1,X2) | ~lesseq(summation(X2),X1) | lesseq(sK2,X1)) ) | ~spl6_2), 2.56/2.79 inference(resolution,[],[f5379,f67])). 2.56/2.79 fof(f5500,plain,( 2.56/2.79 ( ! [X0] : (~lesseq(X0,sK5(sK0,sK1,sK2)) | ~lesseq(sK2,X0)) ) | ~spl6_35), 2.56/2.79 inference(resolution,[],[f253,f58])). 2.56/2.79 fof(f5510,plain,( 2.56/2.79 lesseq(sK0,sK4(sK0,sK1,sK2)) | ~spl6_14), 2.56/2.79 inference(resolution,[],[f151,f72])). 2.56/2.79 fof(f5512,plain,( 2.56/2.79 spl6_74 | ~spl6_14), 2.56/2.79 inference(avatar_split_clause,[],[f5510,f150,f560])). 2.56/2.79 fof(f5517,plain,( 2.56/2.79 summation(sK1) = sK2 | ~lesseq(sK2,summation(sK1)) | ~spl6_28), 2.56/2.79 inference(resolution,[],[f212,f55])). 2.56/2.79 fof(f5527,plain,( 2.56/2.79 ~spl6_107 | spl6_108 | ~spl6_28), 2.56/2.79 inference(avatar_split_clause,[],[f5517,f211,f885,f879])). 2.56/2.79 fof(f5533,plain,( 2.56/2.79 summation(sK4(sK0,sK1,sK2)) = sK2 | ~lesseq(sK2,summation(sK4(sK0,sK1,sK2))) | ~spl6_16), 2.56/2.79 inference(resolution,[],[f158,f55])). 2.56/2.79 fof(f5543,plain,( 2.56/2.79 ~spl6_91 | spl6_92 | ~spl6_16), 2.56/2.79 inference(avatar_split_clause,[],[f5533,f157,f714,f708])). 2.56/2.79 fof(f5581,plain,( 2.56/2.79 ( ! [X0,X1] : (model_ub(X0,X1,sK3(sK0,sK1,sK2)) | ~ub(X0,X1,max(sK0,sK1))) ) | ~spl6_44), 2.56/2.79 inference(resolution,[],[f325,f67])). 2.56/2.79 fof(f5672,plain,( 2.56/2.79 ( ! [X0] : (~lesseq(summation(sK0),X0) | lesseq(sK2,X0)) ) | (~spl6_2 | ~spl6_294)), 2.56/2.79 inference(resolution,[],[f5426,f2991])). 2.56/2.79 fof(f5725,plain,( 2.56/2.79 lesseq(summation(sK0),summation(sK4(sK0,sK1,sK2))) | ~spl6_74), 2.56/2.79 inference(resolution,[],[f561,f57])). 2.56/2.79 fof(f5735,plain,( 2.56/2.79 spl6_470 | ~spl6_74), 2.56/2.79 inference(avatar_split_clause,[],[f5725,f560,f4351])). 2.56/2.79 fof(f5879,plain,( 2.56/2.79 lesseq(sK2,summation(sK0)) | (~spl6_2 | ~spl6_294)), 2.56/2.79 inference(resolution,[],[f5672,f51])). 2.56/2.79 fof(f5891,plain,( 2.56/2.79 spl6_96 | ~spl6_2 | ~spl6_294), 2.56/2.79 inference(avatar_split_clause,[],[f5879,f2990,f84,f758])). 2.56/2.79 fof(f5902,plain,( 2.56/2.79 ~lesseq(sK0,sK0) | ~lesseq(sK1,sK0) | ~spl6_295), 2.56/2.79 inference(resolution,[],[f2988,f70])). 2.56/2.79 fof(f5903,plain,( 2.56/2.79 ~spl6_23 | ~spl6_273 | spl6_295), 2.56/2.79 inference(avatar_split_clause,[],[f5902,f2987,f2702,f195])). 2.56/2.79 fof(f5909,plain,( 2.56/2.79 summation(max(sK0,sK1)) = sK2 | ~lesseq(sK2,summation(max(sK0,sK1))) | ~spl6_12), 2.56/2.79 inference(resolution,[],[f136,f55])). 2.56/2.79 fof(f5921,plain,( 2.56/2.79 ~spl6_19 | spl6_56 | ~spl6_12), 2.56/2.79 inference(avatar_split_clause,[],[f5909,f135,f379,f177])). 2.56/2.79 fof(f5924,plain,( 2.56/2.79 lesseq(sK0,sK1) | ~spl6_23), 2.56/2.79 inference(resolution,[],[f196,f52])). 2.56/2.79 fof(f5933,plain,( 2.56/2.79 spl6_26 | spl6_23), 2.56/2.79 inference(avatar_split_clause,[],[f5924,f195,f205])). 2.56/2.79 fof(f5957,plain,( 2.56/2.79 max(sK0,sK1) = sK1 | ~spl6_26), 2.56/2.79 inference(resolution,[],[f206,f53])). 2.56/2.79 fof(f5967,plain,( 2.56/2.79 spl6_76 | ~spl6_26), 2.56/2.79 inference(avatar_split_clause,[],[f5957,f205,f582])). 2.56/2.79 fof(f6305,plain,( 2.56/2.79 ~lesseq(sK2,summation(sK4(sK0,sK1,sK5(sK0,sK1,sK2)))) | (~spl6_35 | ~spl6_166)), 2.56/2.79 inference(resolution,[],[f5500,f1381])). 2.56/2.79 fof(f6311,plain,( 2.56/2.79 ~spl6_301 | spl6_35 | ~spl6_166), 2.56/2.79 inference(avatar_split_clause,[],[f6305,f1380,f252,f3070])). 2.56/2.79 fof(f6361,plain,( 2.56/2.79 lesseq(sK1,sK4(sK0,sK1,sK5(sK0,sK1,sK2))) | ~spl6_164), 2.56/2.79 inference(resolution,[],[f1374,f71])). 2.56/2.79 fof(f6364,plain,( 2.56/2.79 spl6_274 | ~spl6_164), 2.56/2.79 inference(avatar_split_clause,[],[f6361,f1373,f2841])). 2.56/2.79 fof(f7075,plain,( 2.56/2.79 ( ! [X0,X1] : (model_ub(X0,X1,sK3(sK0,sK1,sK2)) | ~ub(X0,X1,sK1)) ) | (~spl6_44 | ~spl6_76)), 2.56/2.79 inference(forward_demodulation,[],[f5581,f583])). 2.56/2.79 fof(f7086,plain,( 2.56/2.79 ~ub(sK0,sK1,sK1) | lesseq(sK2,sK3(sK0,sK1,sK2)) | (~spl6_2 | ~spl6_44 | ~spl6_76)), 2.56/2.79 inference(resolution,[],[f7075,f5379])). 2.56/2.79 fof(f7091,plain,( 2.56/2.79 spl6_617 <=> ~ub(sK0,sK1,sK1)), 2.56/2.79 introduced(avatar_definition,[new_symbols(naming,[spl6_617])])). 2.56/2.79 fof(f7092,plain,( 2.56/2.79 ~ub(sK0,sK1,sK1) | ~spl6_617), 2.56/2.79 inference(avatar_component_clause,[],[f7091])). 2.56/2.79 fof(f7093,plain,( 2.56/2.79 spl6_8 | ~spl6_617 | ~spl6_2 | ~spl6_44 | ~spl6_76), 2.56/2.79 inference(avatar_split_clause,[],[f7086,f582,f324,f84,f7091,f107])). 2.56/2.79 fof(f7106,plain,( 2.56/2.79 ~lesseq(sK0,sK1) | ~lesseq(sK1,sK1) | ~spl6_617), 2.56/2.79 inference(resolution,[],[f7092,f70])). 2.56/2.79 fof(f7107,plain,( 2.56/2.79 ~spl6_513 | ~spl6_27 | spl6_617), 2.56/2.79 inference(avatar_split_clause,[],[f7106,f7091,f208,f5315])). 2.56/2.79 fof(f7108,plain,( 2.56/2.79 $false), 2.56/2.79 inference(avatar_sat_refutation,[],[f89,f90,f1150,f1627,f1875,f1968,f2132,f2136,f2704,f2719,f2752,f2753,f2788,f2850,f4238,f4280,f4419,f4456,f4488,f4493,f4559,f4587,f4653,f4973,f5017,f5021,f5026,f5317,f5332,f5348,f5352,f5357,f5358,f5359,f5370,f5377,f5378,f5381,f5387,f5388,f5420,f5512,f5527,f5543,f5735,f5891,f5903,f5921,f5933,f5967,f6311,f6364,f7093,f7107])). 2.56/2.79 % SZS output end Proof for theBenchmark 2.56/2.79 % ------------------------------ 2.56/2.79 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.56/2.79 % Termination reason: Refutation 2.56/2.79 2.56/2.79 % Memory used [KB]: 8315 2.56/2.79 % Time elapsed: 0.122 s 2.56/2.79 % ------------------------------ 2.56/2.79 % ------------------------------ 2.56/2.79 % Success in time 2.562 s 2.56/2.79 EOF