0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.11 % Command : run_vampire %s %d 0.10/0.31 Computer : n011.cluster.edu 0.10/0.31 Model : x86_64 x86_64 0.10/0.31 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 RAMPerCPU : 8042.1875MB 0.10/0.31 OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Tue Aug 9 03:54:21 EDT 2022 0.10/0.32 % CPUTime : 0.10/0.32 This is a FOF_ problem 0.10/0.32 Running vampire --ignore_missing on --mode casc --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.10/0.32 Running in auto input_syntax mode. Trying TPTP 0.18/0.35 % (2898)dis+10_3_add=large:afp=10000:afq=1.0:amm=sco:anc=none:gsp=input_only:gs=on:gsem=off:lcm=reverse:nwc=1:sos=on:thsq=on_6 on theBenchmark 0.18/0.35 % (2899)dis+11_1_acc=on:afp=1000:afq=1.4:amm=sco:anc=all_dependent:bs=on:ccuc=small_ones:cond=fast:fde=none:gsp=input_only:nm=64:nwc=1:sac=on:urr=ec_only:updr=off:uhcvi=on:thsq=on_105 on theBenchmark 0.18/0.35 % (2900)lrs+11_20_av=off:bs=unit_only:bsr=on:bce=on:cond=on:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=theory:sp=reverse_arity:uhcvi=on:thsq=on_92 on theBenchmark 0.18/0.36 % (2901)dis+1002_6_add=large:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off:thsq=on_7 on theBenchmark 0.18/0.36 % (2902)lrs+1_4:1_awrs=converge:awrsf=128:av=off:cond=fast:fde=none:gsp=input_only:gs=on:gsem=on:lcm=predicate:lwlo=on:nm=4:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:s2a=on:st=2.0:sos=on:thsq=on_27 on theBenchmark 0.18/0.36 % (2903)lrs+1011_8_add=large:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on:thsq=on_3 on theBenchmark 0.18/0.37 % (2897)dis+10_1_add=off:afp=4000:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on:thsq=on_2 on theBenchmark 0.18/0.37 % (2903)Refutation not found, incomplete strategy% (2903)------------------------------ 0.18/0.37 % (2903)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.18/0.37 % (2897)Refutation not found, incomplete strategy% (2897)------------------------------ 0.18/0.37 % (2897)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.18/0.37 % (2897)Termination reason: Refutation not found, incomplete strategy 0.18/0.37 0.18/0.37 % (2897)Memory used [KB]: 10874 0.18/0.37 % (2897)Time elapsed: 0.006 s 0.18/0.37 % (2897)------------------------------ 0.18/0.37 % (2897)------------------------------ 0.18/0.37 % (2917)dis+1010_5_add=large:afp=10000:afq=1.2:amm=off:bs=unit_only:bsr=on:bce=on:cond=fast:fsr=off:fde=none:gsp=input_only:gs=on:irw=on:lma=on:nm=4:newcnf=on:nwc=1.3:nicw=on:sos=all:sac=on:updr=off:thsq=on_34 on theBenchmark 0.18/0.37 % (2908)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:thsq=on_48 on theBenchmark 0.18/0.37 % (2920)ott+11_8:1_acc=model:afp=1000:afq=1.0:anc=none:bd=off:bsr=on:cond=on:gs=on:gsem=off:irw=on:lma=on:nm=16:nwc=1.5:sac=on:sp=occurrence:urr=on:thsq=on_104 on theBenchmark 0.18/0.37 % (2898)Refutation not found, incomplete strategy% (2898)------------------------------ 0.18/0.37 % (2898)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.18/0.37 % (2898)Termination reason: Refutation not found, incomplete strategy 0.18/0.37 0.18/0.37 % (2898)Memory used [KB]: 10874 0.18/0.37 % (2898)Time elapsed: 0.031 s 0.18/0.37 % (2898)------------------------------ 0.18/0.37 % (2898)------------------------------ 0.18/0.38 % (2911)dis+1011_3_awrs=decay:awrsf=32:afp=10000:afq=1.1:amm=off:anc=none:cond=fast:ep=RSTC:fde=unused:lma=on:nm=16:nwc=2.5:s2a=on:sac=on:sp=frequency:urr=ec_only:thsq=on_2 on theBenchmark 0.18/0.38 % (2903)Termination reason: Refutation not found, incomplete strategy 0.18/0.38 0.18/0.38 % (2903)Memory used [KB]: 10874 0.18/0.38 % (2903)Time elapsed: 0.005 s 0.18/0.38 % (2903)------------------------------ 0.18/0.38 % (2903)------------------------------ 0.18/0.38 % (2907)lrs+1_5:1_afr=on:afp=100000:afq=2.0:amm=off:anc=none:bd=off:fde=none:gs=on:gsaa=full_model:gsem=on:irw=on:lwlo=on:nm=0:nwc=2.5:stl=30:sp=occurrence:uhcvi=on:thsq=on_42 on theBenchmark 0.18/0.38 % (2919)lrs+3_64_add=large:afp=40000:afq=1.4:anc=none:bd=preordered:bsr=on:fde=unused:gs=on:gsaa=from_current:gsem=on:irw=on:lcm=predicate:lma=on:lwlo=on:nm=16:newcnf=on:nwc=1.2:stl=90:sos=theory:thsq=on_285 on theBenchmark 0.18/0.38 % (2909)ott+4_32_av=off:bsr=on:cond=on:er=known:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lma=on:nm=4:nwc=1.2:sos=theory:thsq=on_197 on theBenchmark 0.18/0.38 % (2910)ott-3_4:1_awrs=converge:awrsf=2:acc=model:add=large:afr=on:afp=40000:afq=1.2:anc=none:ccuc=small_ones:fde=unused:gsp=input_only:irw=on:nm=0:nwc=4:sd=4:ss=axioms:s2a=on:st=1.2:sos=on:urr=on:updr=off:uhcvi=on:thsq=on_2 on theBenchmark 0.18/0.39 % (2912)lrs-2_6_acc=on:afp=40000:afq=1.2:amm=sco:anc=none:bs=on:bsr=on:cond=on:fsr=off:fde=none:lcm=reverse:lma=on:nm=32:newcnf=on:nwc=2.5:nicw=on:stl=30:sp=reverse_arity:urr=ec_only:thsq=on_162 on theBenchmark 0.18/0.39 % (2921)WARNING: value z3 for option sas not known 0.18/0.39 % (2916)lrs+4_24_av=off:bd=preordered:bsr=on:irw=on:lma=on:lwlo=on:nm=64:newcnf=on:nwc=1.1:stl=30:sos=theory:updr=off:uhcvi=on:thsq=on_220 on theBenchmark 0.18/0.39 % (2918)dis+11_1024_av=off:bd=off:bs=on:cond=on:gs=on:lma=on:nm=16:nwc=1:sp=occurrence:updr=off:thsq=on_98 on theBenchmark 0.18/0.39 % (2915)dis+1010_3:1_av=off:gsp=input_only:nm=6:nwc=1:sos=all:sp=occurrence:thsq=on_48 on theBenchmark 0.18/0.39 % (2906)WARNING: value z3 for option sas not known 0.18/0.39 % (2906)lrs+1002_4:1_aac=none:add=off:afr=on:afp=40000:afq=1.0:amm=off:anc=none:cond=on:fsr=off:fde=none:gs=on:gsaa=full_model:lma=on:nm=16:nwc=1:sas=z3:stl=30:sd=7:ss=axioms:sos=on:sp=occurrence:updr=off:uhcvi=on:thsq=on_85 on theBenchmark 0.18/0.40 % (2914)WARNING: value z3 for option sas not known 0.18/0.40 % (2906)Refutation not found, incomplete strategy% (2906)------------------------------ 0.18/0.40 % (2906)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.18/0.40 % (2906)Termination reason: Refutation not found, incomplete strategy 0.18/0.40 0.18/0.40 % (2906)Memory used [KB]: 10874 0.18/0.40 % (2906)Time elapsed: 0.049 s 0.18/0.40 % (2904)lrs+4_3_av=off:br=off:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on:thsq=on_32 on theBenchmark 0.18/0.40 % (2906)------------------------------ 0.18/0.40 % (2906)------------------------------ 0.18/0.40 % (2905)dis+1011_4_av=off:cond=on:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence:thsq=on_5 on theBenchmark 0.18/0.40 % (2904)Refutation not found, incomplete strategy% (2904)------------------------------ 0.18/0.40 % (2904)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.18/0.40 % (2904)Termination reason: Refutation not found, incomplete strategy 0.18/0.40 0.18/0.40 % (2904)Memory used [KB]: 1918 0.18/0.40 % (2904)Time elapsed: 0.040 s 0.18/0.40 % (2904)------------------------------ 0.18/0.40 % (2904)------------------------------ 0.18/0.40 % (2922)lrs+10_24_add=off:afr=on:afp=1000:afq=1.4:anc=none:bs=unit_only:gs=on:gsaa=from_current:gsem=on:lma=on:nm=2:nwc=1.1:stl=60:sac=on:uhcvi=on:thsq=on_364 on theBenchmark 0.18/0.40 % (2913)lrs+4_5:4_av=off:bd=off:er=filter:lma=on:lwlo=on:nwc=1:stl=30:sp=occurrence:updr=off:thsq=on_230 on theBenchmark 0.18/0.41 % (2921)dis+2_128_add=large:afp=100000:afq=1.4:amm=sco:anc=none:lma=on:nm=2:newcnf=on:nwc=1:nicw=on:sas=z3:sos=theory:sac=on:updr=off:thsq=on_288 on theBenchmark 0.18/0.42 % (2914)lrs+1002_1_add=large:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:sas=z3:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off:thsq=on_145 on theBenchmark 0.18/0.42 % (2914)Refutation not found, incomplete strategy% (2914)------------------------------ 0.18/0.42 % (2914)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.18/0.42 % (2914)Termination reason: Refutation not found, incomplete strategy 0.18/0.42 0.18/0.42 % (2914)Memory used [KB]: 10874 0.18/0.42 % (2914)Time elapsed: 0.072 s 0.18/0.42 % (2914)------------------------------ 0.18/0.42 % (2914)------------------------------ 0.18/0.44 % (2908)First to succeed. 0.18/0.45 % (2908)Refutation found. Thanks to Tanya! 0.18/0.45 % SZS status Theorem for theBenchmark 0.18/0.45 % SZS output start Proof for theBenchmark 0.18/0.45 fof(f1182,plain,( 0.18/0.45 $false), 0.18/0.45 inference(avatar_sat_refutation,[],[f76,f77,f117,f143,f144,f168,f170,f198,f203,f209,f223,f298,f299,f300,f399,f402,f417,f448,f467,f527,f646,f668,f845,f852,f883,f954,f970,f993,f1181])). 0.18/0.45 fof(f1181,plain,( 0.18/0.45 ~spl5_3 | ~spl5_9 | spl5_13), 0.18/0.45 inference(avatar_contradiction_clause,[],[f1180])). 0.18/0.45 fof(f1180,plain,( 0.18/0.45 $false | (~spl5_3 | ~spl5_9 | spl5_13)), 0.18/0.45 inference(subsumption_resolution,[],[f1178,f1016])). 0.18/0.45 fof(f1016,plain,( 0.18/0.45 ~model_max(sK0,sK1,sK1) | (~spl5_9 | spl5_13)), 0.18/0.45 inference(forward_demodulation,[],[f197,f132])). 0.18/0.45 fof(f132,plain,( 0.18/0.45 sK1 = sK2 | ~spl5_9), 0.18/0.45 inference(avatar_component_clause,[],[f130])). 0.18/0.45 fof(f130,plain,( 0.18/0.45 spl5_9 <=> sK1 = sK2), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_9])])). 0.18/0.45 fof(f197,plain,( 0.18/0.45 ~model_max(sK0,sK1,sK2) | spl5_13), 0.18/0.45 inference(avatar_component_clause,[],[f195])). 0.18/0.45 fof(f195,plain,( 0.18/0.45 spl5_13 <=> model_max(sK0,sK1,sK2)), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_13])])). 0.18/0.45 fof(f1178,plain,( 0.18/0.45 model_max(sK0,sK1,sK1) | (~spl5_3 | ~spl5_9)), 0.18/0.45 inference(superposition,[],[f67,f914])). 0.18/0.45 fof(f914,plain,( 0.18/0.45 sK1 = max(sK0,sK1) | (~spl5_3 | ~spl5_9)), 0.18/0.45 inference(backward_demodulation,[],[f701,f132])). 0.18/0.45 fof(f701,plain,( 0.18/0.45 sK2 = max(sK0,sK2) | ~spl5_3), 0.18/0.45 inference(resolution,[],[f232,f63])). 0.18/0.45 fof(f63,plain,( 0.18/0.45 ( ! [X0 : $i,X1 : $i] : (max(X0,X1) = X1 | ~lesseq(X0,X1)) )), 0.18/0.45 inference(cnf_transformation,[],[f13])). 0.18/0.45 fof(f13,axiom,( 0.18/0.45 ! [X0,X1] : (max(X0,X1) = X1 | ~lesseq(X0,X1))), 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2)). 0.18/0.45 fof(f232,plain,( 0.18/0.45 lesseq(sK0,sK2) | ~spl5_3), 0.18/0.45 inference(resolution,[],[f204,f65])). 0.18/0.45 fof(f65,plain,( 0.18/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (lesseq(X0,X2) | ~ub(X0,X1,X2)) )), 0.18/0.45 inference(cnf_transformation,[],[f43])). 0.18/0.45 fof(f43,plain,( 0.18/0.45 ! [X0,X1,X2] : (((lesseq(X1,X2) & lesseq(X0,X2)) | ~ub(X0,X1,X2)) & (ub(X0,X1,X2) | ~lesseq(X1,X2) | ~lesseq(X0,X2)))), 0.18/0.45 inference(flattening,[],[f42])). 0.18/0.45 fof(f42,plain,( 0.18/0.45 ! [X0,X1,X2] : (((lesseq(X1,X2) & lesseq(X0,X2)) | ~ub(X0,X1,X2)) & (ub(X0,X1,X2) | (~lesseq(X1,X2) | ~lesseq(X0,X2))))), 0.18/0.45 inference(nnf_transformation,[],[f2])). 0.18/0.45 fof(f2,axiom,( 0.18/0.45 ! [X0,X1,X2] : ((lesseq(X1,X2) & lesseq(X0,X2)) <=> ub(X0,X1,X2))), 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)). 0.18/0.45 fof(f204,plain,( 0.18/0.45 ub(sK0,sK1,sK2) | ~spl5_3), 0.18/0.45 inference(resolution,[],[f82,f59])). 0.18/0.45 fof(f59,plain,( 0.18/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (ub(X0,X1,X2) | ~model_ub(X0,X1,X2)) )), 0.18/0.45 inference(cnf_transformation,[],[f41])). 0.18/0.45 fof(f41,plain,( 0.18/0.45 ! [X0,X1,X2] : ((model_ub(X0,X1,X2) | ~ub(X0,X1,X2)) & (ub(X0,X1,X2) | ~model_ub(X0,X1,X2)))), 0.18/0.45 inference(nnf_transformation,[],[f19])). 0.18/0.45 fof(f19,plain,( 0.18/0.45 ! [X0,X1,X2] : (model_ub(X0,X1,X2) <=> ub(X0,X1,X2))), 0.18/0.45 inference(rectify,[],[f9])). 0.18/0.45 fof(f9,axiom,( 0.18/0.45 ! [X0,X1,X3] : (model_ub(X0,X1,X3) <=> ub(X0,X1,X3))), 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_1)). 0.18/0.45 fof(f82,plain,( 0.18/0.45 model_ub(sK0,sK1,sK2) | ~spl5_3), 0.18/0.45 inference(avatar_component_clause,[],[f81])). 0.18/0.45 fof(f81,plain,( 0.18/0.45 spl5_3 <=> model_ub(sK0,sK1,sK2)), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_3])])). 0.18/0.45 fof(f67,plain,( 0.18/0.45 ( ! [X0 : $i,X1 : $i] : (model_max(X0,X1,max(X0,X1))) )), 0.18/0.45 inference(equality_resolution,[],[f57])). 0.18/0.45 fof(f57,plain,( 0.18/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (model_max(X0,X1,X2) | max(X0,X1) != X2) )), 0.18/0.45 inference(cnf_transformation,[],[f40])). 0.18/0.45 fof(f40,plain,( 0.18/0.45 ! [X0,X1,X2] : ((max(X0,X1) = X2 | ~model_max(X0,X1,X2)) & (model_max(X0,X1,X2) | max(X0,X1) != X2))), 0.18/0.45 inference(nnf_transformation,[],[f18])). 0.18/0.45 fof(f18,plain,( 0.18/0.45 ! [X0,X1,X2] : (max(X0,X1) = X2 <=> model_max(X0,X1,X2))), 0.18/0.45 inference(rectify,[],[f5])). 0.18/0.45 fof(f5,axiom,( 0.18/0.45 ! [X0,X1,X3] : (max(X0,X1) = X3 <=> model_max(X0,X1,X3))), 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_1)). 0.18/0.45 fof(f993,plain,( 0.18/0.45 ~spl5_3 | ~spl5_9 | ~spl5_12 | spl5_14), 0.18/0.45 inference(avatar_contradiction_clause,[],[f992])). 0.18/0.45 fof(f992,plain,( 0.18/0.45 $false | (~spl5_3 | ~spl5_9 | ~spl5_12 | spl5_14)), 0.18/0.45 inference(subsumption_resolution,[],[f983,f56])). 0.18/0.45 fof(f56,plain,( 0.18/0.45 ( ! [X0 : $i] : (lesseq(X0,X0)) )), 0.18/0.45 inference(cnf_transformation,[],[f10])). 0.18/0.45 fof(f10,axiom,( 0.18/0.45 ! [X0] : lesseq(X0,X0)), 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_ref)). 0.18/0.45 fof(f983,plain,( 0.18/0.45 ~lesseq(sK1,sK1) | (~spl5_3 | ~spl5_9 | ~spl5_12 | spl5_14)), 0.18/0.45 inference(backward_demodulation,[],[f940,f914])). 0.18/0.45 fof(f940,plain,( 0.18/0.45 ~lesseq(sK1,max(sK0,sK1)) | (~spl5_9 | ~spl5_12 | spl5_14)), 0.18/0.45 inference(backward_demodulation,[],[f868,f132])). 0.18/0.45 fof(f868,plain,( 0.18/0.45 ~lesseq(sK2,max(sK0,sK1)) | (~spl5_12 | spl5_14)), 0.18/0.45 inference(backward_demodulation,[],[f202,f760])). 0.18/0.45 fof(f760,plain,( 0.18/0.45 max(sK0,sK1) = sK3(sK0,sK1,sK2) | ~spl5_12), 0.18/0.45 inference(resolution,[],[f193,f58])). 0.18/0.45 fof(f58,plain,( 0.18/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (max(X0,X1) = X2 | ~model_max(X0,X1,X2)) )), 0.18/0.45 inference(cnf_transformation,[],[f40])). 0.18/0.45 fof(f193,plain,( 0.18/0.45 model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl5_12), 0.18/0.45 inference(avatar_component_clause,[],[f191])). 0.18/0.45 fof(f191,plain,( 0.18/0.45 spl5_12 <=> model_max(sK0,sK1,sK3(sK0,sK1,sK2))), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_12])])). 0.18/0.45 fof(f202,plain,( 0.18/0.45 ~lesseq(sK2,sK3(sK0,sK1,sK2)) | spl5_14), 0.18/0.45 inference(avatar_component_clause,[],[f200])). 0.18/0.45 fof(f200,plain,( 0.18/0.45 spl5_14 <=> lesseq(sK2,sK3(sK0,sK1,sK2))), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_14])])). 0.18/0.45 fof(f970,plain,( 0.18/0.45 ~spl5_4 | ~spl5_9 | spl5_18), 0.18/0.45 inference(avatar_contradiction_clause,[],[f969])). 0.18/0.45 fof(f969,plain,( 0.18/0.45 $false | (~spl5_4 | ~spl5_9 | spl5_18)), 0.18/0.45 inference(subsumption_resolution,[],[f928,f511])). 0.18/0.45 fof(f511,plain,( 0.18/0.45 ( ! [X6 : $i] : (~ub(X6,sK1,sK4(sK0,sK1,sK1))) ) | spl5_18), 0.18/0.45 inference(resolution,[],[f398,f66])). 0.18/0.45 fof(f66,plain,( 0.18/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (lesseq(X1,X2) | ~ub(X0,X1,X2)) )), 0.18/0.45 inference(cnf_transformation,[],[f43])). 0.18/0.45 fof(f398,plain,( 0.18/0.45 ~lesseq(sK1,sK4(sK0,sK1,sK1)) | spl5_18), 0.18/0.45 inference(avatar_component_clause,[],[f396])). 0.18/0.45 fof(f396,plain,( 0.18/0.45 spl5_18 <=> lesseq(sK1,sK4(sK0,sK1,sK1))), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_18])])). 0.18/0.45 fof(f928,plain,( 0.18/0.45 ub(sK0,sK1,sK4(sK0,sK1,sK1)) | (~spl5_4 | ~spl5_9)), 0.18/0.45 inference(backward_demodulation,[],[f742,f132])). 0.18/0.45 fof(f742,plain,( 0.18/0.45 ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl5_4), 0.18/0.45 inference(resolution,[],[f87,f59])). 0.18/0.45 fof(f87,plain,( 0.18/0.45 model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl5_4), 0.18/0.45 inference(avatar_component_clause,[],[f85])). 0.18/0.45 fof(f85,plain,( 0.18/0.45 spl5_4 <=> model_ub(sK0,sK1,sK4(sK0,sK1,sK2))), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_4])])). 0.18/0.45 fof(f954,plain,( 0.18/0.45 ~spl5_3 | ~spl5_9 | spl5_17), 0.18/0.45 inference(avatar_contradiction_clause,[],[f953])). 0.18/0.45 fof(f953,plain,( 0.18/0.45 $false | (~spl5_3 | ~spl5_9 | spl5_17)), 0.18/0.45 inference(subsumption_resolution,[],[f897,f487])). 0.18/0.45 fof(f487,plain,( 0.18/0.45 ~ub(sK0,sK1,sK1) | spl5_17), 0.18/0.45 inference(resolution,[],[f394,f60])). 0.18/0.45 fof(f60,plain,( 0.18/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (model_ub(X0,X1,X2) | ~ub(X0,X1,X2)) )), 0.18/0.45 inference(cnf_transformation,[],[f41])). 0.18/0.45 fof(f394,plain,( 0.18/0.45 ~model_ub(sK0,sK1,sK1) | spl5_17), 0.18/0.45 inference(avatar_component_clause,[],[f392])). 0.18/0.45 fof(f392,plain,( 0.18/0.45 spl5_17 <=> model_ub(sK0,sK1,sK1)), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_17])])). 0.18/0.45 fof(f897,plain,( 0.18/0.45 ub(sK0,sK1,sK1) | (~spl5_3 | ~spl5_9)), 0.18/0.45 inference(backward_demodulation,[],[f204,f132])). 0.18/0.45 fof(f883,plain,( 0.18/0.45 ~spl5_16 | spl5_9 | ~spl5_3), 0.18/0.45 inference(avatar_split_clause,[],[f706,f81,f130,f244])). 0.18/0.45 fof(f244,plain,( 0.18/0.45 spl5_16 <=> lesseq(sK2,sK1)), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_16])])). 0.18/0.45 fof(f706,plain,( 0.18/0.45 sK1 = sK2 | ~lesseq(sK2,sK1) | ~spl5_3), 0.18/0.45 inference(resolution,[],[f233,f61])). 0.18/0.45 fof(f61,plain,( 0.18/0.45 ( ! [X0 : $i,X1 : $i] : (X0 = X1 | ~lesseq(X0,X1) | ~lesseq(X1,X0)) )), 0.18/0.45 inference(cnf_transformation,[],[f26])). 0.18/0.45 fof(f26,plain,( 0.18/0.45 ! [X0,X1] : (X0 = X1 | ~lesseq(X0,X1) | ~lesseq(X1,X0))), 0.18/0.45 inference(flattening,[],[f25])). 0.18/0.45 fof(f25,plain,( 0.18/0.45 ! [X0,X1] : (X0 = X1 | (~lesseq(X0,X1) | ~lesseq(X1,X0)))), 0.18/0.45 inference(ennf_transformation,[],[f6])). 0.18/0.45 fof(f6,axiom,( 0.18/0.45 ! [X0,X1] : ((lesseq(X0,X1) & lesseq(X1,X0)) => X0 = X1)), 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_antisymmetric)). 0.18/0.45 fof(f233,plain,( 0.18/0.45 lesseq(sK1,sK2) | ~spl5_3), 0.18/0.45 inference(resolution,[],[f204,f66])). 0.18/0.45 fof(f852,plain,( 0.18/0.45 ~spl5_1 | spl5_15 | ~spl5_35), 0.18/0.45 inference(avatar_contradiction_clause,[],[f851])). 0.18/0.45 fof(f851,plain,( 0.18/0.45 $false | (~spl5_1 | spl5_15 | ~spl5_35)), 0.18/0.45 inference(subsumption_resolution,[],[f846,f221])). 0.18/0.45 fof(f221,plain,( 0.18/0.45 ~lesseq(sK2,sK0) | spl5_15), 0.18/0.45 inference(avatar_component_clause,[],[f219])). 0.18/0.45 fof(f219,plain,( 0.18/0.45 spl5_15 <=> lesseq(sK2,sK0)), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_15])])). 0.18/0.45 fof(f846,plain,( 0.18/0.45 lesseq(sK2,sK0) | (~spl5_1 | ~spl5_35)), 0.18/0.45 inference(resolution,[],[f796,f670])). 0.18/0.45 fof(f670,plain,( 0.18/0.45 ( ! [X0 : $i] : (~model_ub(sK0,sK1,X0) | lesseq(sK2,X0)) ) | ~spl5_1), 0.18/0.45 inference(resolution,[],[f70,f51])). 0.18/0.45 fof(f51,plain,( 0.18/0.45 ( ! [X4 : $i,X2 : $i,X0 : $i,X1 : $i] : (lesseq(X2,X4) | ~model_ub(X0,X1,X4) | ~minsol_model_ub(X0,X1,X2)) )), 0.18/0.45 inference(cnf_transformation,[],[f39])). 0.18/0.45 fof(f39,plain,( 0.18/0.45 ! [X0,X1,X2] : ((minsol_model_ub(X0,X1,X2) | (~lesseq(X2,sK4(X0,X1,X2)) & model_ub(X0,X1,sK4(X0,X1,X2))) | ~model_ub(X0,X1,X2)) & ((! [X4] : (lesseq(X2,X4) | ~model_ub(X0,X1,X4)) & model_ub(X0,X1,X2)) | ~minsol_model_ub(X0,X1,X2)))), 0.18/0.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f37,f38])). 0.18/0.45 fof(f38,plain,( 0.18/0.45 ! [X0,X1,X2] : (? [X3] : (~lesseq(X2,X3) & model_ub(X0,X1,X3)) => (~lesseq(X2,sK4(X0,X1,X2)) & model_ub(X0,X1,sK4(X0,X1,X2))))), 0.18/0.45 introduced(choice_axiom,[])). 0.18/0.45 fof(f37,plain,( 0.18/0.45 ! [X0,X1,X2] : ((minsol_model_ub(X0,X1,X2) | ? [X3] : (~lesseq(X2,X3) & model_ub(X0,X1,X3)) | ~model_ub(X0,X1,X2)) & ((! [X4] : (lesseq(X2,X4) | ~model_ub(X0,X1,X4)) & model_ub(X0,X1,X2)) | ~minsol_model_ub(X0,X1,X2)))), 0.18/0.45 inference(rectify,[],[f36])). 0.18/0.45 fof(f36,plain,( 0.18/0.45 ! [X0,X1,X2] : ((minsol_model_ub(X0,X1,X2) | ? [X3] : (~lesseq(X2,X3) & model_ub(X0,X1,X3)) | ~model_ub(X0,X1,X2)) & ((! [X3] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3)) & model_ub(X0,X1,X2)) | ~minsol_model_ub(X0,X1,X2)))), 0.18/0.45 inference(flattening,[],[f35])). 0.18/0.45 fof(f35,plain,( 0.18/0.45 ! [X0,X1,X2] : ((minsol_model_ub(X0,X1,X2) | (? [X3] : (~lesseq(X2,X3) & model_ub(X0,X1,X3)) | ~model_ub(X0,X1,X2))) & ((! [X3] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3)) & model_ub(X0,X1,X2)) | ~minsol_model_ub(X0,X1,X2)))), 0.18/0.45 inference(nnf_transformation,[],[f22])). 0.18/0.45 fof(f22,plain,( 0.18/0.45 ! [X0,X1,X2] : (minsol_model_ub(X0,X1,X2) <=> (! [X3] : (lesseq(X2,X3) | ~model_ub(X0,X1,X3)) & model_ub(X0,X1,X2)))), 0.18/0.45 inference(ennf_transformation,[],[f17])). 0.18/0.45 fof(f17,plain,( 0.18/0.45 ! [X0,X1,X2] : (minsol_model_ub(X0,X1,X2) <=> (! [X3] : (model_ub(X0,X1,X3) => lesseq(X2,X3)) & model_ub(X0,X1,X2)))), 0.18/0.45 inference(rectify,[],[f12])). 0.18/0.45 fof(f12,axiom,( 0.18/0.45 ! [X0,X1,X3] : (minsol_model_ub(X0,X1,X3) <=> (! [X2] : (model_ub(X0,X1,X2) => lesseq(X3,X2)) & model_ub(X0,X1,X3)))), 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub)). 0.18/0.45 fof(f70,plain,( 0.18/0.45 minsol_model_ub(sK0,sK1,sK2) | ~spl5_1), 0.18/0.45 inference(avatar_component_clause,[],[f69])). 0.18/0.45 fof(f69,plain,( 0.18/0.45 spl5_1 <=> minsol_model_ub(sK0,sK1,sK2)), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_1])])). 0.18/0.45 fof(f796,plain,( 0.18/0.45 model_ub(sK0,sK1,sK0) | ~spl5_35), 0.18/0.45 inference(avatar_component_clause,[],[f795])). 0.18/0.45 fof(f795,plain,( 0.18/0.45 spl5_35 <=> model_ub(sK0,sK1,sK0)), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_35])])). 0.18/0.45 fof(f845,plain,( 0.18/0.45 ~spl5_10 | spl5_35), 0.18/0.45 inference(avatar_contradiction_clause,[],[f844])). 0.18/0.45 fof(f844,plain,( 0.18/0.45 $false | (~spl5_10 | spl5_35)), 0.18/0.45 inference(subsumption_resolution,[],[f843,f56])). 0.18/0.45 fof(f843,plain,( 0.18/0.45 ~lesseq(sK0,sK0) | (~spl5_10 | spl5_35)), 0.18/0.45 inference(subsumption_resolution,[],[f841,f136])). 0.18/0.45 fof(f136,plain,( 0.18/0.45 lesseq(sK1,sK0) | ~spl5_10), 0.18/0.45 inference(avatar_component_clause,[],[f135])). 0.18/0.45 fof(f135,plain,( 0.18/0.45 spl5_10 <=> lesseq(sK1,sK0)), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_10])])). 0.18/0.45 fof(f841,plain,( 0.18/0.45 ~lesseq(sK1,sK0) | ~lesseq(sK0,sK0) | spl5_35), 0.18/0.45 inference(resolution,[],[f837,f64])). 0.18/0.45 fof(f64,plain,( 0.18/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (ub(X0,X1,X2) | ~lesseq(X1,X2) | ~lesseq(X0,X2)) )), 0.18/0.45 inference(cnf_transformation,[],[f43])). 0.18/0.45 fof(f837,plain,( 0.18/0.45 ~ub(sK0,sK1,sK0) | spl5_35), 0.18/0.45 inference(resolution,[],[f797,f60])). 0.18/0.45 fof(f797,plain,( 0.18/0.45 ~model_ub(sK0,sK1,sK0) | spl5_35), 0.18/0.45 inference(avatar_component_clause,[],[f795])). 0.18/0.45 fof(f668,plain,( 0.18/0.45 ~spl5_10 | ~spl5_11 | spl5_13), 0.18/0.45 inference(avatar_contradiction_clause,[],[f667])). 0.18/0.45 fof(f667,plain,( 0.18/0.45 $false | (~spl5_10 | ~spl5_11 | spl5_13)), 0.18/0.45 inference(subsumption_resolution,[],[f665,f576])). 0.18/0.45 fof(f576,plain,( 0.18/0.45 ~model_max(sK0,sK1,sK0) | (~spl5_11 | spl5_13)), 0.18/0.45 inference(forward_demodulation,[],[f197,f141])). 0.18/0.45 fof(f141,plain,( 0.18/0.45 sK0 = sK2 | ~spl5_11), 0.18/0.45 inference(avatar_component_clause,[],[f139])). 0.18/0.45 fof(f139,plain,( 0.18/0.45 spl5_11 <=> sK0 = sK2), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_11])])). 0.18/0.45 fof(f665,plain,( 0.18/0.45 model_max(sK0,sK1,sK0) | ~spl5_10), 0.18/0.45 inference(superposition,[],[f67,f493])). 0.18/0.45 fof(f493,plain,( 0.18/0.45 sK0 = max(sK0,sK1) | ~spl5_10), 0.18/0.45 inference(resolution,[],[f136,f62])). 0.18/0.45 fof(f62,plain,( 0.18/0.45 ( ! [X0 : $i,X1 : $i] : (max(X0,X1) = X0 | ~lesseq(X1,X0)) )), 0.18/0.45 inference(cnf_transformation,[],[f8])). 0.18/0.45 fof(f8,axiom,( 0.18/0.45 ! [X0,X1] : (max(X0,X1) = X0 | ~lesseq(X1,X0))), 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_1)). 0.18/0.45 fof(f646,plain,( 0.18/0.45 spl5_2 | ~spl5_10 | ~spl5_11 | ~spl5_12), 0.18/0.45 inference(avatar_contradiction_clause,[],[f645])). 0.18/0.45 fof(f645,plain,( 0.18/0.45 $false | (spl5_2 | ~spl5_10 | ~spl5_11 | ~spl5_12)), 0.18/0.45 inference(subsumption_resolution,[],[f644,f56])). 0.18/0.45 fof(f644,plain,( 0.18/0.45 ~lesseq(sK0,sK0) | (spl5_2 | ~spl5_10 | ~spl5_11 | ~spl5_12)), 0.18/0.45 inference(forward_demodulation,[],[f643,f620])). 0.18/0.45 fof(f620,plain,( 0.18/0.45 sK0 = sK3(sK0,sK1,sK0) | (~spl5_10 | ~spl5_11 | ~spl5_12)), 0.18/0.45 inference(forward_demodulation,[],[f616,f493])). 0.18/0.45 fof(f616,plain,( 0.18/0.45 max(sK0,sK1) = sK3(sK0,sK1,sK0) | (~spl5_11 | ~spl5_12)), 0.18/0.45 inference(resolution,[],[f552,f58])). 0.18/0.45 fof(f552,plain,( 0.18/0.45 model_max(sK0,sK1,sK3(sK0,sK1,sK0)) | (~spl5_11 | ~spl5_12)), 0.18/0.45 inference(forward_demodulation,[],[f193,f141])). 0.18/0.45 fof(f643,plain,( 0.18/0.45 ~lesseq(sK0,sK3(sK0,sK1,sK0)) | (spl5_2 | ~spl5_10 | ~spl5_11 | ~spl5_12)), 0.18/0.45 inference(forward_demodulation,[],[f642,f620])). 0.18/0.45 fof(f642,plain,( 0.18/0.45 ~lesseq(sK3(sK0,sK1,sK0),sK3(sK0,sK1,sK3(sK0,sK1,sK0))) | (spl5_2 | ~spl5_10 | ~spl5_11 | ~spl5_12)), 0.18/0.45 inference(subsumption_resolution,[],[f641,f554])). 0.18/0.45 fof(f554,plain,( 0.18/0.45 ~minsol_model_max(sK0,sK1,sK0) | (spl5_2 | ~spl5_11)), 0.18/0.45 inference(forward_demodulation,[],[f75,f141])). 0.18/0.45 fof(f75,plain,( 0.18/0.45 ~minsol_model_max(sK0,sK1,sK2) | spl5_2), 0.18/0.45 inference(avatar_component_clause,[],[f73])). 0.18/0.45 fof(f73,plain,( 0.18/0.45 spl5_2 <=> minsol_model_max(sK0,sK1,sK2)), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_2])])). 0.18/0.45 fof(f641,plain,( 0.18/0.45 minsol_model_max(sK0,sK1,sK0) | ~lesseq(sK3(sK0,sK1,sK0),sK3(sK0,sK1,sK3(sK0,sK1,sK0))) | (~spl5_10 | ~spl5_11 | ~spl5_12)), 0.18/0.45 inference(forward_demodulation,[],[f618,f620])). 0.18/0.45 fof(f618,plain,( 0.18/0.45 minsol_model_max(sK0,sK1,sK3(sK0,sK1,sK0)) | ~lesseq(sK3(sK0,sK1,sK0),sK3(sK0,sK1,sK3(sK0,sK1,sK0))) | (~spl5_11 | ~spl5_12)), 0.18/0.45 inference(resolution,[],[f552,f47])). 0.18/0.45 fof(f47,plain,( 0.18/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | ~lesseq(X2,sK3(X0,X1,X2))) )), 0.18/0.45 inference(cnf_transformation,[],[f34])). 0.18/0.45 fof(f34,plain,( 0.18/0.45 ! [X0,X1,X2] : (((model_max(X0,X1,X2) & ! [X3] : (lesseq(X2,X3) | ~model_max(X0,X1,X3))) | ~minsol_model_max(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)))))), 0.18/0.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f32,f33])). 0.18/0.45 fof(f33,plain,( 0.18/0.45 ! [X0,X1,X2] : (? [X4] : (~lesseq(X2,X4) & model_max(X0,X1,X4)) => (~lesseq(X2,sK3(X0,X1,X2)) & model_max(X0,X1,sK3(X0,X1,X2))))), 0.18/0.45 introduced(choice_axiom,[])). 0.18/0.45 fof(f32,plain,( 0.18/0.45 ! [X0,X1,X2] : (((model_max(X0,X1,X2) & ! [X3] : (lesseq(X2,X3) | ~model_max(X0,X1,X3))) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | ? [X4] : (~lesseq(X2,X4) & model_max(X0,X1,X4))))), 0.18/0.45 inference(rectify,[],[f31])). 0.18/0.45 fof(f31,plain,( 0.18/0.45 ! [X0,X1,X2] : (((model_max(X0,X1,X2) & ! [X3] : (lesseq(X2,X3) | ~model_max(X0,X1,X3))) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | ? [X3] : (~lesseq(X2,X3) & model_max(X0,X1,X3))))), 0.18/0.45 inference(flattening,[],[f30])). 0.18/0.45 fof(f30,plain,( 0.18/0.45 ! [X0,X1,X2] : (((model_max(X0,X1,X2) & ! [X3] : (lesseq(X2,X3) | ~model_max(X0,X1,X3))) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | (~model_max(X0,X1,X2) | ? [X3] : (~lesseq(X2,X3) & model_max(X0,X1,X3)))))), 0.18/0.45 inference(nnf_transformation,[],[f21])). 0.18/0.45 fof(f21,plain,( 0.18/0.45 ! [X0,X1,X2] : ((model_max(X0,X1,X2) & ! [X3] : (lesseq(X2,X3) | ~model_max(X0,X1,X3))) <=> minsol_model_max(X0,X1,X2))), 0.18/0.45 inference(ennf_transformation,[],[f16])). 0.18/0.45 fof(f16,plain,( 0.18/0.45 ! [X0,X1,X2] : ((model_max(X0,X1,X2) & ! [X3] : (model_max(X0,X1,X3) => lesseq(X2,X3))) <=> minsol_model_max(X0,X1,X2))), 0.18/0.45 inference(rectify,[],[f15])). 0.18/0.45 fof(f15,axiom,( 0.18/0.45 ! [X0,X1,X3] : ((model_max(X0,X1,X3) & ! [X2] : (model_max(X0,X1,X2) => lesseq(X3,X2))) <=> minsol_model_max(X0,X1,X3))), 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max)). 0.18/0.45 fof(f527,plain,( 0.18/0.45 ~spl5_4 | spl5_5 | ~spl5_11), 0.18/0.45 inference(avatar_contradiction_clause,[],[f526])). 0.18/0.45 fof(f526,plain,( 0.18/0.45 $false | (~spl5_4 | spl5_5 | ~spl5_11)), 0.18/0.45 inference(subsumption_resolution,[],[f522,f517])). 0.18/0.45 fof(f517,plain,( 0.18/0.45 ( ! [X5 : $i] : (~ub(sK0,X5,sK4(sK0,sK1,sK0))) ) | (spl5_5 | ~spl5_11)), 0.18/0.45 inference(resolution,[],[f470,f65])). 0.18/0.45 fof(f470,plain,( 0.18/0.45 ~lesseq(sK0,sK4(sK0,sK1,sK0)) | (spl5_5 | ~spl5_11)), 0.18/0.45 inference(forward_demodulation,[],[f92,f141])). 0.18/0.45 fof(f92,plain,( 0.18/0.45 ~lesseq(sK2,sK4(sK0,sK1,sK2)) | spl5_5), 0.18/0.45 inference(avatar_component_clause,[],[f90])). 0.18/0.45 fof(f90,plain,( 0.18/0.45 spl5_5 <=> lesseq(sK2,sK4(sK0,sK1,sK2))), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_5])])). 0.18/0.45 fof(f522,plain,( 0.18/0.45 ub(sK0,sK1,sK4(sK0,sK1,sK0)) | (~spl5_4 | ~spl5_11)), 0.18/0.45 inference(resolution,[],[f471,f59])). 0.18/0.45 fof(f471,plain,( 0.18/0.45 model_ub(sK0,sK1,sK4(sK0,sK1,sK0)) | (~spl5_4 | ~spl5_11)), 0.18/0.45 inference(forward_demodulation,[],[f87,f141])). 0.18/0.45 fof(f467,plain,( 0.18/0.45 spl5_7 | ~spl5_10 | ~spl5_11), 0.18/0.45 inference(avatar_contradiction_clause,[],[f466])). 0.18/0.45 fof(f466,plain,( 0.18/0.45 $false | (spl5_7 | ~spl5_10 | ~spl5_11)), 0.18/0.45 inference(subsumption_resolution,[],[f465,f136])). 0.18/0.45 fof(f465,plain,( 0.18/0.45 ~lesseq(sK1,sK0) | (spl5_7 | ~spl5_11)), 0.18/0.45 inference(forward_demodulation,[],[f116,f141])). 0.18/0.45 fof(f116,plain,( 0.18/0.45 ~lesseq(sK1,sK2) | spl5_7), 0.18/0.45 inference(avatar_component_clause,[],[f114])). 0.18/0.45 fof(f114,plain,( 0.18/0.45 spl5_7 <=> lesseq(sK1,sK2)), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_7])])). 0.18/0.45 fof(f448,plain,( 0.18/0.45 spl5_6 | ~spl5_11), 0.18/0.45 inference(avatar_contradiction_clause,[],[f447])). 0.18/0.45 fof(f447,plain,( 0.18/0.45 $false | (spl5_6 | ~spl5_11)), 0.18/0.45 inference(subsumption_resolution,[],[f446,f56])). 0.18/0.45 fof(f446,plain,( 0.18/0.45 ~lesseq(sK0,sK0) | (spl5_6 | ~spl5_11)), 0.18/0.45 inference(forward_demodulation,[],[f112,f141])). 0.18/0.45 fof(f112,plain,( 0.18/0.45 ~lesseq(sK0,sK2) | spl5_6), 0.18/0.45 inference(avatar_component_clause,[],[f110])). 0.18/0.45 fof(f110,plain,( 0.18/0.45 spl5_6 <=> lesseq(sK0,sK2)), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_6])])). 0.18/0.45 fof(f417,plain,( 0.18/0.45 spl5_6 | ~spl5_9 | spl5_10), 0.18/0.45 inference(avatar_contradiction_clause,[],[f416])). 0.18/0.45 fof(f416,plain,( 0.18/0.45 $false | (spl5_6 | ~spl5_9 | spl5_10)), 0.18/0.45 inference(subsumption_resolution,[],[f415,f137])). 0.18/0.45 fof(f137,plain,( 0.18/0.45 ~lesseq(sK1,sK0) | spl5_10), 0.18/0.45 inference(avatar_component_clause,[],[f135])). 0.18/0.45 fof(f415,plain,( 0.18/0.45 lesseq(sK1,sK0) | (spl5_6 | ~spl5_9)), 0.18/0.45 inference(forward_demodulation,[],[f154,f132])). 0.18/0.45 fof(f154,plain,( 0.18/0.45 lesseq(sK2,sK0) | spl5_6), 0.18/0.45 inference(resolution,[],[f112,f55])). 0.18/0.45 fof(f55,plain,( 0.18/0.45 ( ! [X0 : $i,X1 : $i] : (lesseq(X0,X1) | lesseq(X1,X0)) )), 0.18/0.45 inference(cnf_transformation,[],[f7])). 0.18/0.45 fof(f7,axiom,( 0.18/0.45 ! [X0,X1] : (lesseq(X0,X1) | lesseq(X1,X0))), 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_total)). 0.18/0.45 fof(f402,plain,( 0.18/0.45 spl5_7 | ~spl5_9), 0.18/0.45 inference(avatar_contradiction_clause,[],[f401])). 0.18/0.45 fof(f401,plain,( 0.18/0.45 $false | (spl5_7 | ~spl5_9)), 0.18/0.45 inference(subsumption_resolution,[],[f400,f56])). 0.18/0.45 fof(f400,plain,( 0.18/0.45 ~lesseq(sK1,sK1) | (spl5_7 | ~spl5_9)), 0.18/0.45 inference(forward_demodulation,[],[f116,f132])). 0.18/0.45 fof(f399,plain,( 0.18/0.45 ~spl5_17 | ~spl5_18 | spl5_1 | ~spl5_9), 0.18/0.45 inference(avatar_split_clause,[],[f360,f130,f69,f396,f392])). 0.18/0.45 fof(f360,plain,( 0.18/0.45 ~lesseq(sK1,sK4(sK0,sK1,sK1)) | ~model_ub(sK0,sK1,sK1) | (spl5_1 | ~spl5_9)), 0.18/0.45 inference(resolution,[],[f354,f53])). 0.18/0.45 fof(f53,plain,( 0.18/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (minsol_model_ub(X0,X1,X2) | ~lesseq(X2,sK4(X0,X1,X2)) | ~model_ub(X0,X1,X2)) )), 0.18/0.45 inference(cnf_transformation,[],[f39])). 0.18/0.45 fof(f354,plain,( 0.18/0.45 ~minsol_model_ub(sK0,sK1,sK1) | (spl5_1 | ~spl5_9)), 0.18/0.45 inference(forward_demodulation,[],[f71,f132])). 0.18/0.45 fof(f71,plain,( 0.18/0.45 ~minsol_model_ub(sK0,sK1,sK2) | spl5_1), 0.18/0.45 inference(avatar_component_clause,[],[f69])). 0.18/0.45 fof(f300,plain,( 0.18/0.45 spl5_4 | spl5_1 | ~spl5_3), 0.18/0.45 inference(avatar_split_clause,[],[f206,f81,f69,f85])). 0.18/0.45 fof(f206,plain,( 0.18/0.45 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl5_3), 0.18/0.45 inference(resolution,[],[f82,f52])). 0.18/0.45 fof(f52,plain,( 0.18/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (minsol_model_ub(X0,X1,X2) | model_ub(X0,X1,sK4(X0,X1,X2)) | ~model_ub(X0,X1,X2)) )), 0.18/0.45 inference(cnf_transformation,[],[f39])). 0.18/0.45 fof(f299,plain,( 0.18/0.45 ~spl5_5 | spl5_1 | ~spl5_3), 0.18/0.45 inference(avatar_split_clause,[],[f207,f81,f69,f90])). 0.18/0.45 fof(f207,plain,( 0.18/0.45 minsol_model_ub(sK0,sK1,sK2) | ~lesseq(sK2,sK4(sK0,sK1,sK2)) | ~spl5_3), 0.18/0.45 inference(resolution,[],[f82,f53])). 0.18/0.45 fof(f298,plain,( 0.18/0.45 ~spl5_1 | ~spl5_8 | spl5_16), 0.18/0.45 inference(avatar_contradiction_clause,[],[f297])). 0.18/0.45 fof(f297,plain,( 0.18/0.45 $false | (~spl5_1 | ~spl5_8 | spl5_16)), 0.18/0.45 inference(subsumption_resolution,[],[f296,f246])). 0.18/0.45 fof(f246,plain,( 0.18/0.45 ~lesseq(sK2,sK1) | spl5_16), 0.18/0.45 inference(avatar_component_clause,[],[f244])). 0.18/0.45 fof(f296,plain,( 0.18/0.45 lesseq(sK2,sK1) | (~spl5_1 | ~spl5_8)), 0.18/0.45 inference(resolution,[],[f272,f56])). 0.18/0.45 fof(f272,plain,( 0.18/0.45 ( ! [X0 : $i] : (~lesseq(sK1,X0) | lesseq(sK2,X0)) ) | (~spl5_1 | ~spl5_8)), 0.18/0.45 inference(subsumption_resolution,[],[f270,f171])). 0.18/0.45 fof(f171,plain,( 0.18/0.45 ( ! [X0 : $i] : (lesseq(sK0,X0) | ~lesseq(sK1,X0)) ) | ~spl5_8), 0.18/0.45 inference(resolution,[],[f127,f54])). 0.18/0.45 fof(f54,plain,( 0.18/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (lesseq(X0,X2) | ~lesseq(X1,X2) | ~lesseq(X0,X1)) )), 0.18/0.45 inference(cnf_transformation,[],[f24])). 0.18/0.45 fof(f24,plain,( 0.18/0.45 ! [X0,X1,X2] : (lesseq(X0,X2) | ~lesseq(X1,X2) | ~lesseq(X0,X1))), 0.18/0.45 inference(flattening,[],[f23])). 0.18/0.45 fof(f23,plain,( 0.18/0.45 ! [X0,X1,X2] : (lesseq(X0,X2) | (~lesseq(X1,X2) | ~lesseq(X0,X1)))), 0.18/0.45 inference(ennf_transformation,[],[f14])). 0.18/0.45 fof(f14,axiom,( 0.18/0.45 ! [X0,X1,X2] : ((lesseq(X1,X2) & lesseq(X0,X1)) => lesseq(X0,X2))), 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_trans)). 0.18/0.45 fof(f127,plain,( 0.18/0.45 lesseq(sK0,sK1) | ~spl5_8), 0.18/0.45 inference(avatar_component_clause,[],[f126])). 0.18/0.45 fof(f126,plain,( 0.18/0.45 spl5_8 <=> lesseq(sK0,sK1)), 0.18/0.45 introduced(avatar_definition,[new_symbols(naming,[spl5_8])])). 0.18/0.45 fof(f270,plain,( 0.18/0.45 ( ! [X0 : $i] : (lesseq(sK2,X0) | ~lesseq(sK1,X0) | ~lesseq(sK0,X0)) ) | ~spl5_1), 0.18/0.45 inference(resolution,[],[f262,f64])). 0.18/0.45 fof(f262,plain,( 0.18/0.45 ( ! [X1 : $i] : (~ub(sK0,sK1,X1) | lesseq(sK2,X1)) ) | ~spl5_1), 0.18/0.45 inference(resolution,[],[f187,f60])). 0.18/0.45 fof(f187,plain,( 0.18/0.45 ( ! [X0 : $i] : (~model_ub(sK0,sK1,X0) | lesseq(sK2,X0)) ) | ~spl5_1), 0.18/0.45 inference(resolution,[],[f70,f51])). 0.18/0.45 fof(f223,plain,( 0.18/0.45 ~spl5_15 | spl5_11 | ~spl5_6), 0.18/0.45 inference(avatar_split_clause,[],[f213,f110,f139,f219])). 0.18/0.45 fof(f213,plain,( 0.18/0.45 sK0 = sK2 | ~lesseq(sK2,sK0) | ~spl5_6), 0.18/0.45 inference(resolution,[],[f111,f61])). 0.18/0.45 fof(f111,plain,( 0.18/0.45 lesseq(sK0,sK2) | ~spl5_6), 0.18/0.45 inference(avatar_component_clause,[],[f110])). 0.18/0.45 fof(f209,plain,( 0.18/0.45 ~spl5_3 | spl5_6), 0.18/0.45 inference(avatar_contradiction_clause,[],[f208])). 0.18/0.45 fof(f208,plain,( 0.18/0.45 $false | (~spl5_3 | spl5_6)), 0.18/0.45 inference(subsumption_resolution,[],[f204,f156])). 0.18/0.45 fof(f156,plain,( 0.18/0.45 ( ! [X5 : $i] : (~ub(sK0,X5,sK2)) ) | spl5_6), 0.18/0.45 inference(resolution,[],[f112,f65])). 0.18/0.45 fof(f203,plain,( 0.18/0.45 ~spl5_14 | ~spl5_13 | spl5_2), 0.18/0.45 inference(avatar_split_clause,[],[f189,f73,f195,f200])). 0.18/0.45 fof(f189,plain,( 0.18/0.45 ~model_max(sK0,sK1,sK2) | ~lesseq(sK2,sK3(sK0,sK1,sK2)) | spl5_2), 0.18/0.45 inference(resolution,[],[f75,f47])). 0.18/0.45 fof(f198,plain,( 0.18/0.45 spl5_12 | ~spl5_13 | spl5_2), 0.18/0.45 inference(avatar_split_clause,[],[f188,f73,f195,f191])). 0.18/0.45 fof(f188,plain,( 0.18/0.45 ~model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | spl5_2), 0.18/0.45 inference(resolution,[],[f75,f46])). 0.18/0.45 fof(f46,plain,( 0.18/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | model_max(X0,X1,sK3(X0,X1,X2))) )), 0.18/0.45 inference(cnf_transformation,[],[f34])). 0.18/0.45 fof(f170,plain,( 0.18/0.45 ~spl5_1 | spl5_3), 0.18/0.45 inference(avatar_contradiction_clause,[],[f169])). 0.18/0.45 fof(f169,plain,( 0.18/0.45 $false | (~spl5_1 | spl5_3)), 0.18/0.45 inference(subsumption_resolution,[],[f70,f97])). 0.18/0.45 fof(f97,plain,( 0.18/0.45 ~minsol_model_ub(sK0,sK1,sK2) | spl5_3), 0.18/0.45 inference(resolution,[],[f83,f50])). 0.18/0.45 fof(f50,plain,( 0.18/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (model_ub(X0,X1,X2) | ~minsol_model_ub(X0,X1,X2)) )), 0.18/0.45 inference(cnf_transformation,[],[f39])). 0.18/0.45 fof(f83,plain,( 0.18/0.45 ~model_ub(sK0,sK1,sK2) | spl5_3), 0.18/0.45 inference(avatar_component_clause,[],[f81])). 0.18/0.45 fof(f168,plain,( 0.18/0.45 spl5_8 | spl5_10), 0.18/0.45 inference(avatar_contradiction_clause,[],[f167])). 0.18/0.45 fof(f167,plain,( 0.18/0.45 $false | (spl5_8 | spl5_10)), 0.18/0.45 inference(subsumption_resolution,[],[f162,f137])). 0.18/0.45 fof(f162,plain,( 0.18/0.45 lesseq(sK1,sK0) | spl5_8), 0.18/0.45 inference(resolution,[],[f128,f55])). 0.18/0.45 fof(f128,plain,( 0.18/0.45 ~lesseq(sK0,sK1) | spl5_8), 0.18/0.45 inference(avatar_component_clause,[],[f126])). 0.18/0.45 fof(f144,plain,( 0.18/0.45 ~spl5_10 | spl5_11 | ~spl5_2), 0.18/0.45 inference(avatar_split_clause,[],[f122,f73,f139,f135])). 0.18/0.45 fof(f122,plain,( 0.18/0.45 sK0 = sK2 | ~lesseq(sK1,sK0) | ~spl5_2), 0.18/0.45 inference(superposition,[],[f62,f98])). 0.18/0.45 fof(f98,plain,( 0.18/0.45 sK2 = max(sK0,sK1) | ~spl5_2), 0.18/0.45 inference(resolution,[],[f95,f58])). 0.18/0.45 fof(f95,plain,( 0.18/0.45 model_max(sK0,sK1,sK2) | ~spl5_2), 0.18/0.45 inference(resolution,[],[f74,f49])). 0.18/0.45 fof(f49,plain,( 0.18/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (model_max(X0,X1,X2) | ~minsol_model_max(X0,X1,X2)) )), 0.18/0.45 inference(cnf_transformation,[],[f34])). 0.18/0.45 fof(f74,plain,( 0.18/0.45 minsol_model_max(sK0,sK1,sK2) | ~spl5_2), 0.18/0.45 inference(avatar_component_clause,[],[f73])). 0.18/0.45 fof(f143,plain,( 0.18/0.45 ~spl5_8 | spl5_9 | ~spl5_2), 0.18/0.45 inference(avatar_split_clause,[],[f121,f73,f130,f126])). 0.18/0.45 fof(f121,plain,( 0.18/0.45 sK1 = sK2 | ~lesseq(sK0,sK1) | ~spl5_2), 0.18/0.45 inference(superposition,[],[f63,f98])). 0.18/0.45 fof(f117,plain,( 0.18/0.45 ~spl5_6 | ~spl5_7 | spl5_3), 0.18/0.45 inference(avatar_split_clause,[],[f107,f81,f114,f110])). 0.18/0.45 fof(f107,plain,( 0.18/0.45 ~lesseq(sK1,sK2) | ~lesseq(sK0,sK2) | spl5_3), 0.18/0.45 inference(resolution,[],[f96,f64])). 0.18/0.45 fof(f96,plain,( 0.18/0.45 ~ub(sK0,sK1,sK2) | spl5_3), 0.18/0.45 inference(resolution,[],[f83,f60])). 0.18/0.45 fof(f77,plain,( 0.18/0.45 spl5_1 | spl5_2), 0.18/0.45 inference(avatar_split_clause,[],[f44,f73,f69])). 0.18/0.45 fof(f44,plain,( 0.18/0.45 minsol_model_max(sK0,sK1,sK2) | minsol_model_ub(sK0,sK1,sK2)), 0.18/0.45 inference(cnf_transformation,[],[f29])). 0.18/0.45 fof(f29,plain,( 0.18/0.45 (~minsol_model_max(sK0,sK1,sK2) | ~minsol_model_ub(sK0,sK1,sK2)) & (minsol_model_max(sK0,sK1,sK2) | minsol_model_ub(sK0,sK1,sK2))), 0.18/0.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f28])). 0.18/0.45 fof(f28,plain,( 0.18/0.45 ? [X0,X1,X2] : ((~minsol_model_max(X0,X1,X2) | ~minsol_model_ub(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | minsol_model_ub(X0,X1,X2))) => ((~minsol_model_max(sK0,sK1,sK2) | ~minsol_model_ub(sK0,sK1,sK2)) & (minsol_model_max(sK0,sK1,sK2) | minsol_model_ub(sK0,sK1,sK2)))), 0.18/0.45 introduced(choice_axiom,[])). 0.18/0.45 fof(f27,plain,( 0.18/0.45 ? [X0,X1,X2] : ((~minsol_model_max(X0,X1,X2) | ~minsol_model_ub(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | minsol_model_ub(X0,X1,X2)))), 0.18/0.45 inference(nnf_transformation,[],[f20])). 0.18/0.45 fof(f20,plain,( 0.18/0.45 ? [X0,X1,X2] : (minsol_model_ub(X0,X1,X2) <~> minsol_model_max(X0,X1,X2))), 0.18/0.45 inference(ennf_transformation,[],[f4])). 0.18/0.45 fof(f4,negated_conjecture,( 0.18/0.45 ~! [X0,X1,X2] : (minsol_model_ub(X0,X1,X2) <=> minsol_model_max(X0,X1,X2))), 0.18/0.45 inference(negated_conjecture,[],[f3])). 0.18/0.45 fof(f3,conjecture,( 0.18/0.45 ! [X0,X1,X2] : (minsol_model_ub(X0,X1,X2) <=> minsol_model_max(X0,X1,X2))), 0.18/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_ub_1)). 0.18/0.45 fof(f76,plain,( 0.18/0.45 ~spl5_1 | ~spl5_2), 0.18/0.45 inference(avatar_split_clause,[],[f45,f73,f69])). 0.18/0.45 fof(f45,plain,( 0.18/0.45 ~minsol_model_max(sK0,sK1,sK2) | ~minsol_model_ub(sK0,sK1,sK2)), 0.18/0.45 inference(cnf_transformation,[],[f29])). 0.18/0.45 % SZS output end Proof for theBenchmark 0.18/0.45 % (2908)------------------------------ 0.18/0.45 % (2908)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.18/0.45 % (2908)Termination reason: Refutation 0.18/0.45 0.18/0.45 % (2908)Memory used [KB]: 11385 0.18/0.45 % (2908)Time elapsed: 0.106 s 0.18/0.45 % (2908)------------------------------ 0.18/0.45 % (2908)------------------------------ 0.18/0.45 % (2896)Success in time 0.123 s 0.18/0.45 EOF