0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s 0.12/0.33 % Computer : n021.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 300 0.12/0.33 % WCLimit : 300 0.12/0.33 % DateTime : Fri Jul 5 04:22:39 EDT 2024 0.12/0.33 % CPUTime : 0.12/0.35 This is a TFF_ problem 0.12/0.36 Running vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p 0.12/0.36 % (20801)Running in auto input_syntax mode. Trying TPTP 0.21/0.40 % (20803)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on theBenchmark for (572ds/0Mi) 0.21/0.42 % (20802)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on theBenchmark for (1034ds/0Mi) 0.21/0.42 % (20806)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on theBenchmark for (408ds/0Mi) 0.21/0.42 % (20807)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on theBenchmark for (318ds/0Mi) 0.21/0.42 % (20804)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on theBenchmark for (476ds/0Mi) 0.21/0.42 % (20808)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on theBenchmark for (280ds/0Mi) 0.21/0.42 % (20805)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on theBenchmark for (472ds/0Mi) 197.55/28.52 % (20808)Time limit reached! 197.55/28.52 % (20808)------------------------------ 197.55/28.52 % (20808)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100) 197.55/28.52 % (20808)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44 197.55/28.52 % (20808)Termination reason: Time limit 197.55/28.52 % (20808)Termination phase: Saturation 197.55/28.52 197.55/28.52 % (20808)Memory used [KB]: 433425 197.55/28.52 % (20808)Time elapsed: 28.100 s 197.55/28.52 % (20808)------------------------------ 197.55/28.52 % (20808)------------------------------ 198.21/28.58 % (21680)lrs-1003_28_aac=none:amm=sco:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:gsp=on:gs=on:gsaa=from_current:inw=on:nwc=1.5:sas=z3:sos=all:sac=on:sp=frequency:tha=off:uwa=all:stl=180_226 on theBenchmark for (226ds/0Mi) 224.13/32.32 % (20807)Time limit reached! 224.13/32.32 % (20807)------------------------------ 224.13/32.32 % (20807)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100) 224.13/32.32 % (20807)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44 224.13/32.32 % (20807)Termination reason: Time limit 224.13/32.32 % (20807)Termination phase: Saturation 224.13/32.32 224.13/32.32 % (20807)Memory used [KB]: 132663 224.13/32.32 % (20807)Time elapsed: 31.900 s 224.13/32.32 % (20807)------------------------------ 224.13/32.32 % (20807)------------------------------ 224.13/32.36 % (22314)lrs+1_15_bd=off:fsd=off:fde=unused:lcm=predicate:lma=on:nm=4:nwc=1.5:sos=all:sac=on:sp=occurrence:stl=60_160 on theBenchmark for (160ds/0Mi) 247.33/35.57 % (22314)First to succeed. 247.33/35.58 % (22314)Refutation found. Thanks to Tanya! 247.33/35.58 % SZS status Theorem for theBenchmark 247.33/35.58 % SZS output start Proof for theBenchmark 247.33/35.58 tff(func_def_0, type, summation: $int > $int). 247.33/35.58 tff(func_def_1, type, max: ($int * $int) > $int). 247.33/35.58 tff(func_def_6, type, sK0: $int). 247.33/35.58 tff(func_def_7, type, sK1: $int). 247.33/35.58 tff(func_def_8, type, sK2: $int). 247.33/35.58 tff(func_def_9, type, sK3: ($int * $int * $int) > $int). 247.33/35.58 tff(func_def_10, type, sK4: ($int * $int * $int) > $int). 247.33/35.58 tff(func_def_11, type, sK5: ($int * $int * $int) > $int). 247.33/35.58 tff(pred_def_1, type, ub: ($int * $int * $int) > $o). 247.33/35.58 tff(pred_def_2, type, model_max: ($int * $int * $int) > $o). 247.33/35.58 tff(pred_def_3, type, model_ub: ($int * $int * $int) > $o). 247.33/35.58 tff(pred_def_4, type, minsol_model_max: ($int * $int * $int) > $o). 247.33/35.58 tff(pred_def_5, type, minsol_model_ub: ($int * $int * $int) > $o). 247.33/35.58 tff(f195629,plain,( 247.33/35.58 $false), 247.33/35.58 inference(avatar_sat_refutation,[],[f87,f130,f493,f623,f693,f702,f759,f1282,f1446,f2758,f2916,f3073,f3087,f3326,f3580,f5099,f162362,f163681,f163770,f165089,f165410,f165458,f165607,f165909,f166813,f168623,f180208,f183390,f186636,f186698,f190395,f195414,f195628])). 247.33/35.58 tff(f195628,plain,( 247.33/35.58 ~spl6_2 | ~spl6_22 | ~spl6_101), 247.33/35.58 inference(avatar_contradiction_clause,[],[f195627])). 247.33/35.58 tff(f195627,plain,( 247.33/35.58 $false | (~spl6_2 | ~spl6_22 | ~spl6_101)), 247.33/35.58 inference(subsumption_resolution,[],[f195600,f24])). 247.33/35.58 tff(f24,plain,( 247.33/35.58 ( ! [X0 : $int] : (~$less(X0,X0)) )), 247.33/35.58 introduced(theory_axiom_145,[])). 247.33/35.58 tff(f195600,plain,( 247.33/35.58 $less(sK0,sK0) | (~spl6_2 | ~spl6_22 | ~spl6_101)), 247.33/35.58 inference(resolution,[],[f191263,f24])). 247.33/35.58 tff(f191263,plain,( 247.33/35.58 ( ! [X39 : $int] : ($less(summation(sK0),summation(X39)) | $less(X39,sK0)) ) | (~spl6_2 | ~spl6_22 | ~spl6_101)), 247.33/35.58 inference(duplicate_literal_removal,[],[f191262])). 247.33/35.58 tff(f191262,plain,( 247.33/35.58 ( ! [X39 : $int] : ($less(X39,sK0) | $less(summation(sK0),summation(X39)) | $less(X39,sK0)) ) | (~spl6_2 | ~spl6_22 | ~spl6_101)), 247.33/35.58 inference(forward_demodulation,[],[f191261,f1349])). 247.33/35.58 tff(f1349,plain,( 247.33/35.58 sK0 = sK1 | ~spl6_22), 247.33/35.58 inference(avatar_component_clause,[],[f1348])). 247.33/35.58 tff(f1348,plain,( 247.33/35.58 spl6_22 <=> sK0 = sK1), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_22])])). 247.33/35.58 tff(f191261,plain,( 247.33/35.58 ( ! [X39 : $int] : ($less(summation(sK0),summation(X39)) | $less(X39,sK0) | $less(X39,sK1)) ) | (~spl6_2 | ~spl6_22 | ~spl6_101)), 247.33/35.58 inference(forward_demodulation,[],[f191202,f1349])). 247.33/35.58 tff(f191202,plain,( 247.33/35.58 ( ! [X39 : $int] : ($less(summation(sK1),summation(X39)) | $less(X39,sK0) | $less(X39,sK1)) ) | (~spl6_2 | ~spl6_101)), 247.33/35.58 inference(resolution,[],[f183870,f186635])). 247.33/35.58 tff(f186635,plain,( 247.33/35.58 $less(summation(sK1),sK2) | ~spl6_101), 247.33/35.58 inference(avatar_component_clause,[],[f186633])). 247.33/35.58 tff(f186633,plain,( 247.33/35.58 spl6_101 <=> $less(summation(sK1),sK2)), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_101])])). 247.33/35.58 tff(f183870,plain,( 247.33/35.58 ( ! [X2 : $int,X3 : $int] : (~$less(X2,sK2) | $less(X2,summation(X3)) | $less(X3,sK0) | $less(X3,sK1)) ) | ~spl6_2), 247.33/35.58 inference(resolution,[],[f183768,f65])). 247.33/35.58 tff(f65,plain,( 247.33/35.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : (ub(X0,X1,X2) | $less(X2,X0) | $less(X2,X1)) )), 247.33/35.58 inference(cnf_transformation,[],[f41])). 247.33/35.58 tff(f41,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : ((ub(X0,X1,X2) | $less(X2,X0) | $less(X2,X1)) & ((~$less(X2,X0) & ~$less(X2,X1)) | ~ub(X0,X1,X2)))), 247.33/35.58 inference(flattening,[],[f40])). 247.33/35.58 tff(f40,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : ((ub(X0,X1,X2) | ($less(X2,X0) | $less(X2,X1))) & ((~$less(X2,X0) & ~$less(X2,X1)) | ~ub(X0,X1,X2)))), 247.33/35.58 inference(nnf_transformation,[],[f32])). 247.33/35.58 tff(f32,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : (ub(X0,X1,X2) <=> (~$less(X2,X0) & ~$less(X2,X1)))), 247.33/35.58 inference(rectify,[],[f14])). 247.33/35.58 tff(f14,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X3 : $int] : (ub(X0,X1,X3) <=> (~$less(X3,X0) & ~$less(X3,X1)))), 247.33/35.58 inference(theory_normalization,[],[f9])). 247.33/35.58 tff(f9,axiom,( 247.33/35.58 ! [X0 : $int,X1 : $int,X3 : $int] : (ub(X0,X1,X3) <=> ($lesseq(X0,X3) & $lesseq(X1,X3)))), 247.33/35.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)). 247.33/35.58 tff(f183768,plain,( 247.33/35.58 ( ! [X2 : $int,X1 : $int] : (~ub(sK0,sK1,X2) | ~$less(X1,sK2) | $less(X1,summation(X2))) ) | ~spl6_2), 247.33/35.58 inference(resolution,[],[f183404,f72])). 247.33/35.58 tff(f72,plain,( 247.33/35.58 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (model_ub(X0,X1,X2) | ~ub(X0,X1,X3) | $less(X2,summation(X3))) )), 247.33/35.58 inference(cnf_transformation,[],[f50])). 247.33/35.58 tff(f50,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_ub(X0,X1,X2) | ! [X3 : $int] : (~ub(X0,X1,X3) | $less(X2,summation(X3)))) & ((ub(X0,X1,sK4(X0,X1,X2)) & ~$less(X2,summation(sK4(X0,X1,X2)))) | ~model_ub(X0,X1,X2)))), 247.33/35.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f48,f49])). 247.33/35.58 tff(f49,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : (? [X4 : $int] : (ub(X0,X1,X4) & ~$less(X2,summation(X4))) => (ub(X0,X1,sK4(X0,X1,X2)) & ~$less(X2,summation(sK4(X0,X1,X2)))))), 247.33/35.58 introduced(choice_axiom,[])). 247.33/35.58 tff(f48,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_ub(X0,X1,X2) | ! [X3 : $int] : (~ub(X0,X1,X3) | $less(X2,summation(X3)))) & (? [X4 : $int] : (ub(X0,X1,X4) & ~$less(X2,summation(X4))) | ~model_ub(X0,X1,X2)))), 247.33/35.58 inference(rectify,[],[f47])). 247.33/35.58 tff(f47,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_ub(X0,X1,X2) | ! [X3 : $int] : (~ub(X0,X1,X3) | $less(X2,summation(X3)))) & (? [X3 : $int] : (ub(X0,X1,X3) & ~$less(X2,summation(X3))) | ~model_ub(X0,X1,X2)))), 247.33/35.58 inference(nnf_transformation,[],[f16])). 247.33/35.58 tff(f16,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : (model_ub(X0,X1,X2) <=> ? [X3 : $int] : (ub(X0,X1,X3) & ~$less(X2,summation(X3))))), 247.33/35.58 inference(theory_normalization,[],[f7])). 247.33/35.58 tff(f7,axiom,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : (model_ub(X0,X1,X2) <=> ? [X3 : $int] : (ub(X0,X1,X3) & $lesseq(summation(X3),X2)))), 247.33/35.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_3)). 247.33/35.58 tff(f183404,plain,( 247.33/35.58 ( ! [X0 : $int] : (~model_ub(sK0,sK1,X0) | ~$less(X0,sK2)) ) | ~spl6_2), 247.33/35.58 inference(resolution,[],[f86,f66])). 247.33/35.58 tff(f66,plain,( 247.33/35.58 ( ! [X2 : $int,X0 : $int,X1 : $int,X4 : $int] : (~$less(X4,X2) | ~model_ub(X0,X1,X4) | ~minsol_model_ub(X0,X1,X2)) )), 247.33/35.58 inference(cnf_transformation,[],[f46])). 247.33/35.58 tff(f46,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | ($less(sK3(X0,X1,X2),X2) & model_ub(X0,X1,sK3(X0,X1,X2)))) & ((model_ub(X0,X1,X2) & ! [X4 : $int] : (~$less(X4,X2) | ~model_ub(X0,X1,X4))) | ~minsol_model_ub(X0,X1,X2)))), 247.33/35.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f44,f45])). 247.33/35.58 tff(f45,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : (? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3)) => ($less(sK3(X0,X1,X2),X2) & model_ub(X0,X1,sK3(X0,X1,X2))))), 247.33/35.58 introduced(choice_axiom,[])). 247.33/35.58 tff(f44,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3))) & ((model_ub(X0,X1,X2) & ! [X4 : $int] : (~$less(X4,X2) | ~model_ub(X0,X1,X4))) | ~minsol_model_ub(X0,X1,X2)))), 247.33/35.58 inference(rectify,[],[f43])). 247.33/35.58 tff(f43,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3))) & ((model_ub(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3))) | ~minsol_model_ub(X0,X1,X2)))), 247.33/35.58 inference(flattening,[],[f42])). 247.33/35.58 tff(f42,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_ub(X0,X1,X2) | (~model_ub(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3)))) & ((model_ub(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3))) | ~minsol_model_ub(X0,X1,X2)))), 247.33/35.58 inference(nnf_transformation,[],[f34])). 247.33/35.58 tff(f34,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <=> (model_ub(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3))))), 247.33/35.58 inference(ennf_transformation,[],[f15])). 247.33/35.58 tff(f15,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <=> (model_ub(X0,X1,X2) & ! [X3 : $int] : (model_ub(X0,X1,X3) => ~$less(X3,X2))))), 247.33/35.58 inference(theory_normalization,[],[f2])). 247.33/35.58 tff(f2,axiom,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <=> (model_ub(X0,X1,X2) & ! [X3 : $int] : (model_ub(X0,X1,X3) => $lesseq(X2,X3))))), 247.33/35.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub)). 247.33/35.58 tff(f86,plain,( 247.33/35.58 minsol_model_ub(sK0,sK1,sK2) | ~spl6_2), 247.33/35.58 inference(avatar_component_clause,[],[f84])). 247.33/35.58 tff(f84,plain,( 247.33/35.58 spl6_2 <=> minsol_model_ub(sK0,sK1,sK2)), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_2])])). 247.33/35.58 tff(f195414,plain,( 247.33/35.58 spl6_10 | spl6_11 | ~spl6_13), 247.33/35.58 inference(avatar_split_clause,[],[f168196,f620,f483,f479])). 247.33/35.58 tff(f479,plain,( 247.33/35.58 spl6_10 <=> sK1 = sK4(sK0,sK1,sK2)), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_10])])). 247.33/35.58 tff(f483,plain,( 247.33/35.58 spl6_11 <=> $less(sK1,sK4(sK0,sK1,sK2))), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_11])])). 247.33/35.58 tff(f620,plain,( 247.33/35.58 spl6_13 <=> model_ub(sK0,sK1,sK2)), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_13])])). 247.33/35.58 tff(f168196,plain,( 247.33/35.58 $less(sK1,sK4(sK0,sK1,sK2)) | sK1 = sK4(sK0,sK1,sK2) | ~spl6_13), 247.33/35.58 inference(resolution,[],[f167905,f26])). 247.33/35.58 tff(f26,plain,( 247.33/35.58 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )), 247.33/35.58 introduced(theory_axiom_147,[])). 247.33/35.58 tff(f167905,plain,( 247.33/35.58 ~$less(sK4(sK0,sK1,sK2),sK1) | ~spl6_13), 247.33/35.58 inference(resolution,[],[f166501,f63])). 247.33/35.58 tff(f63,plain,( 247.33/35.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X2,X1) | ~ub(X0,X1,X2)) )), 247.33/35.58 inference(cnf_transformation,[],[f41])). 247.33/35.58 tff(f166501,plain,( 247.33/35.58 ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_13), 247.33/35.58 inference(resolution,[],[f621,f71])). 247.33/35.58 tff(f71,plain,( 247.33/35.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : (ub(X0,X1,sK4(X0,X1,X2)) | ~model_ub(X0,X1,X2)) )), 247.33/35.58 inference(cnf_transformation,[],[f50])). 247.33/35.58 tff(f621,plain,( 247.33/35.58 model_ub(sK0,sK1,sK2) | ~spl6_13), 247.33/35.58 inference(avatar_component_clause,[],[f620])). 247.33/35.58 tff(f190395,plain,( 247.33/35.58 ~spl6_2 | ~spl6_88 | ~spl6_101), 247.33/35.58 inference(avatar_contradiction_clause,[],[f190394])). 247.33/35.58 tff(f190394,plain,( 247.33/35.58 $false | (~spl6_2 | ~spl6_88 | ~spl6_101)), 247.33/35.58 inference(subsumption_resolution,[],[f190367,f24])). 247.33/35.58 tff(f190367,plain,( 247.33/35.58 $less(sK1,sK1) | (~spl6_2 | ~spl6_88 | ~spl6_101)), 247.33/35.58 inference(resolution,[],[f186704,f24])). 247.33/35.58 tff(f186704,plain,( 247.33/35.58 ( ! [X0 : $int] : ($less(summation(sK1),summation(X0)) | $less(X0,sK1)) ) | (~spl6_2 | ~spl6_88 | ~spl6_101)), 247.33/35.58 inference(resolution,[],[f186635,f183873])). 247.33/35.58 tff(f183873,plain,( 247.33/35.58 ( ! [X2 : $int,X3 : $int] : (~$less(X2,sK2) | $less(X2,summation(X3)) | $less(X3,sK1)) ) | (~spl6_2 | ~spl6_88)), 247.33/35.58 inference(subsumption_resolution,[],[f183870,f168634])). 247.33/35.58 tff(f168634,plain,( 247.33/35.58 ( ! [X2 : $int] : (~$less(X2,sK0) | $less(X2,sK1)) ) | ~spl6_88), 247.33/35.58 inference(resolution,[],[f168622,f25])). 247.33/35.58 tff(f25,plain,( 247.33/35.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )), 247.33/35.58 introduced(theory_axiom_146,[])). 247.33/35.58 tff(f168622,plain,( 247.33/35.58 $less(sK0,sK1) | ~spl6_88), 247.33/35.58 inference(avatar_component_clause,[],[f168620])). 247.33/35.58 tff(f168620,plain,( 247.33/35.58 spl6_88 <=> $less(sK0,sK1)), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_88])])). 247.33/35.58 tff(f186698,plain,( 247.33/35.58 ~spl6_4 | ~spl6_5 | ~spl6_16 | ~spl6_100), 247.33/35.58 inference(avatar_contradiction_clause,[],[f186697])). 247.33/35.58 tff(f186697,plain,( 247.33/35.58 $false | (~spl6_4 | ~spl6_5 | ~spl6_16 | ~spl6_100)), 247.33/35.58 inference(subsumption_resolution,[],[f186657,f172])). 247.33/35.58 tff(f172,plain,( 247.33/35.58 $less(sK5(sK0,sK1,sK2),sK2) | ~spl6_4), 247.33/35.58 inference(avatar_component_clause,[],[f170])). 247.33/35.58 tff(f170,plain,( 247.33/35.58 spl6_4 <=> $less(sK5(sK0,sK1,sK2),sK2)), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_4])])). 247.33/35.58 tff(f186657,plain,( 247.33/35.58 ~$less(sK5(sK0,sK1,sK2),sK2) | (~spl6_5 | ~spl6_16 | ~spl6_100)), 247.33/35.58 inference(superposition,[],[f183624,f186631])). 247.33/35.58 tff(f186631,plain,( 247.33/35.58 sK2 = summation(sK1) | ~spl6_100), 247.33/35.58 inference(avatar_component_clause,[],[f186629])). 247.33/35.58 tff(f186629,plain,( 247.33/35.58 spl6_100 <=> sK2 = summation(sK1)), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_100])])). 247.33/35.58 tff(f183624,plain,( 247.33/35.58 ~$less(sK5(sK0,sK1,sK2),summation(sK1)) | (~spl6_5 | ~spl6_16)), 247.33/35.58 inference(forward_demodulation,[],[f183623,f1036])). 247.33/35.58 tff(f1036,plain,( 247.33/35.58 sK1 = max(sK0,sK1) | ~spl6_16), 247.33/35.58 inference(avatar_component_clause,[],[f1034])). 247.33/35.58 tff(f1034,plain,( 247.33/35.58 spl6_16 <=> sK1 = max(sK0,sK1)), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_16])])). 247.33/35.58 tff(f183623,plain,( 247.33/35.58 ~$less(sK5(sK0,sK1,sK2),summation(max(sK0,sK1))) | ~spl6_5), 247.33/35.58 inference(resolution,[],[f191,f74])). 247.33/35.58 tff(f74,plain,( 247.33/35.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X2,summation(max(X0,X1))) | ~model_max(X0,X1,X2)) )), 247.33/35.58 inference(cnf_transformation,[],[f51])). 247.33/35.58 tff(f51,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less(X2,summation(max(X0,X1))) | ~model_max(X0,X1,X2)) & (model_max(X0,X1,X2) | $less(X2,summation(max(X0,X1)))))), 247.33/35.58 inference(nnf_transformation,[],[f17])). 247.33/35.58 tff(f17,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X2,summation(max(X0,X1))) <=> model_max(X0,X1,X2))), 247.33/35.58 inference(theory_normalization,[],[f6])). 247.33/35.58 tff(f6,axiom,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : ($lesseq(summation(max(X0,X1)),X2) <=> model_max(X0,X1,X2))), 247.33/35.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_3)). 247.33/35.58 tff(f191,plain,( 247.33/35.58 model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_5), 247.33/35.58 inference(avatar_component_clause,[],[f189])). 247.33/35.58 tff(f189,plain,( 247.33/35.58 spl6_5 <=> model_max(sK0,sK1,sK5(sK0,sK1,sK2))), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_5])])). 247.33/35.58 tff(f186636,plain,( 247.33/35.58 spl6_100 | spl6_101 | ~spl6_4 | ~spl6_5 | ~spl6_16), 247.33/35.58 inference(avatar_split_clause,[],[f183776,f1034,f189,f170,f186633,f186629])). 247.33/35.58 tff(f183776,plain,( 247.33/35.58 $less(summation(sK1),sK2) | sK2 = summation(sK1) | (~spl6_4 | ~spl6_5 | ~spl6_16)), 247.33/35.58 inference(resolution,[],[f183624,f3670])). 247.33/35.58 tff(f3670,plain,( 247.33/35.58 ( ! [X2 : $int] : ($less(sK5(sK0,sK1,sK2),X2) | $less(X2,sK2) | sK2 = X2) ) | ~spl6_4), 247.33/35.58 inference(resolution,[],[f3102,f26])). 247.33/35.58 tff(f3102,plain,( 247.33/35.58 ( ! [X1 : $int] : (~$less(sK2,X1) | $less(sK5(sK0,sK1,sK2),X1)) ) | ~spl6_4), 247.33/35.58 inference(resolution,[],[f172,f25])). 247.33/35.58 tff(f183390,plain,( 247.33/35.58 ~spl6_1 | ~spl6_3 | ~spl6_16 | ~spl6_83 | ~spl6_85), 247.33/35.58 inference(avatar_contradiction_clause,[],[f183389])). 247.33/35.58 tff(f183389,plain,( 247.33/35.58 $false | (~spl6_1 | ~spl6_3 | ~spl6_16 | ~spl6_83 | ~spl6_85)), 247.33/35.58 inference(subsumption_resolution,[],[f183353,f168204])). 247.33/35.58 tff(f168204,plain,( 247.33/35.58 ~$less(sK4(sK0,sK1,sK3(sK0,sK1,sK2)),sK1) | ~spl6_85), 247.33/35.58 inference(resolution,[],[f167004,f63])). 247.33/35.58 tff(f167004,plain,( 247.33/35.58 ub(sK0,sK1,sK4(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_85), 247.33/35.58 inference(resolution,[],[f166812,f71])). 247.33/35.58 tff(f166812,plain,( 247.33/35.58 model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_85), 247.33/35.58 inference(avatar_component_clause,[],[f166810])). 247.33/35.58 tff(f166810,plain,( 247.33/35.58 spl6_85 <=> model_ub(sK0,sK1,sK3(sK0,sK1,sK2))), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_85])])). 247.33/35.58 tff(f183353,plain,( 247.33/35.58 $less(sK4(sK0,sK1,sK3(sK0,sK1,sK2)),sK1) | (~spl6_1 | ~spl6_3 | ~spl6_16 | ~spl6_83)), 247.33/35.58 inference(resolution,[],[f158573,f168848])). 247.33/35.58 tff(f168848,plain,( 247.33/35.58 ( ! [X6 : $int] : (~$less(summation(X6),sK2) | $less(X6,sK1)) ) | (~spl6_1 | ~spl6_3 | ~spl6_16)), 247.33/35.58 inference(superposition,[],[f61,f168826])). 247.33/35.58 tff(f168826,plain,( 247.33/35.58 sK2 = summation(sK1) | (~spl6_1 | ~spl6_3 | ~spl6_16)), 247.33/35.58 inference(forward_demodulation,[],[f168772,f166932])). 247.33/35.58 tff(f166932,plain,( 247.33/35.58 sK2 = max(sK2,summation(sK1)) | (~spl6_3 | ~spl6_16)), 247.33/35.58 inference(superposition,[],[f3119,f1036])). 247.33/35.58 tff(f3119,plain,( 247.33/35.58 sK2 = max(sK2,summation(max(sK0,sK1))) | ~spl6_3), 247.33/35.58 inference(resolution,[],[f3086,f60])). 247.33/35.58 tff(f60,plain,( 247.33/35.58 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | max(X0,X1) = X0) )), 247.33/35.58 inference(cnf_transformation,[],[f12])). 247.33/35.58 tff(f12,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int] : ($less(X0,X1) | max(X0,X1) = X0)), 247.33/35.58 inference(theory_normalization,[],[f10])). 247.33/35.58 tff(f10,axiom,( 247.33/35.58 ! [X0 : $int,X1 : $int] : (~$lesseq(X1,X0) | max(X0,X1) = X0)), 247.33/35.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_1)). 247.33/35.58 tff(f3086,plain,( 247.33/35.58 ~$less(sK2,summation(max(sK0,sK1))) | ~spl6_3), 247.33/35.58 inference(resolution,[],[f167,f74])). 247.33/35.58 tff(f167,plain,( 247.33/35.58 model_max(sK0,sK1,sK2) | ~spl6_3), 247.33/35.58 inference(avatar_component_clause,[],[f166])). 247.33/35.58 tff(f166,plain,( 247.33/35.58 spl6_3 <=> model_max(sK0,sK1,sK2)), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_3])])). 247.33/35.58 tff(f168772,plain,( 247.33/35.58 summation(sK1) = max(sK2,summation(sK1)) | (~spl6_1 | ~spl6_16)), 247.33/35.58 inference(resolution,[],[f167091,f24])). 247.33/35.58 tff(f167091,plain,( 247.33/35.58 ( ! [X12 : $int] : ($less(X12,summation(sK1)) | max(sK2,X12) = X12) ) | (~spl6_1 | ~spl6_16)), 247.33/35.58 inference(resolution,[],[f165921,f59])). 247.33/35.58 tff(f59,plain,( 247.33/35.58 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | max(X0,X1) = X1) )), 247.33/35.58 inference(cnf_transformation,[],[f11])). 247.33/35.58 tff(f11,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int] : ($less(X1,X0) | max(X0,X1) = X1)), 247.33/35.58 inference(theory_normalization,[],[f8])). 247.33/35.58 tff(f8,axiom,( 247.33/35.58 ! [X0 : $int,X1 : $int] : (~$lesseq(X0,X1) | max(X0,X1) = X1)), 247.33/35.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2)). 247.33/35.58 tff(f165921,plain,( 247.33/35.58 ( ! [X1 : $int] : (~$less(X1,sK2) | $less(X1,summation(sK1))) ) | (~spl6_1 | ~spl6_16)), 247.33/35.58 inference(forward_demodulation,[],[f5121,f1036])). 247.33/35.58 tff(f5121,plain,( 247.33/35.58 ( ! [X1 : $int] : (~$less(X1,sK2) | $less(X1,summation(max(sK0,sK1)))) ) | ~spl6_1), 247.33/35.58 inference(resolution,[],[f5101,f73])). 247.33/35.58 tff(f73,plain,( 247.33/35.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : (model_max(X0,X1,X2) | $less(X2,summation(max(X0,X1)))) )), 247.33/35.58 inference(cnf_transformation,[],[f51])). 247.33/35.58 tff(f5101,plain,( 247.33/35.58 ( ! [X0 : $int] : (~model_max(sK0,sK1,X0) | ~$less(X0,sK2)) ) | ~spl6_1), 247.33/35.58 inference(resolution,[],[f82,f78])). 247.33/35.58 tff(f78,plain,( 247.33/35.58 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3) | ~minsol_model_max(X0,X1,X2)) )), 247.33/35.58 inference(cnf_transformation,[],[f56])). 247.33/35.58 tff(f56,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : (((! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | ($less(sK5(X0,X1,X2),X2) & model_max(X0,X1,sK5(X0,X1,X2))) | ~model_max(X0,X1,X2)))), 247.33/35.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f54,f55])). 247.33/35.58 tff(f55,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : (? [X4 : $int] : ($less(X4,X2) & model_max(X0,X1,X4)) => ($less(sK5(X0,X1,X2),X2) & model_max(X0,X1,sK5(X0,X1,X2))))), 247.33/35.58 introduced(choice_axiom,[])). 247.33/35.58 tff(f54,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : (((! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | ? [X4 : $int] : ($less(X4,X2) & model_max(X0,X1,X4)) | ~model_max(X0,X1,X2)))), 247.33/35.58 inference(rectify,[],[f53])). 247.33/35.58 tff(f53,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : (((! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3)) | ~model_max(X0,X1,X2)))), 247.33/35.58 inference(flattening,[],[f52])). 247.33/35.58 tff(f52,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : (((! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | (? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3)) | ~model_max(X0,X1,X2))))), 247.33/35.58 inference(nnf_transformation,[],[f35])). 247.33/35.58 tff(f35,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : ((! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)) <=> minsol_model_max(X0,X1,X2))), 247.33/35.58 inference(ennf_transformation,[],[f18])). 247.33/35.58 tff(f18,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : ((! [X3 : $int] : (model_max(X0,X1,X3) => ~$less(X3,X2)) & model_max(X0,X1,X2)) <=> minsol_model_max(X0,X1,X2))), 247.33/35.58 inference(theory_normalization,[],[f3])). 247.33/35.58 tff(f3,axiom,( 247.33/35.58 ! [X0 : $int,X1 : $int,X2 : $int] : ((! [X3 : $int] : (model_max(X0,X1,X3) => $lesseq(X2,X3)) & model_max(X0,X1,X2)) <=> minsol_model_max(X0,X1,X2))), 247.33/35.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max)). 247.33/35.58 tff(f82,plain,( 247.33/35.58 minsol_model_max(sK0,sK1,sK2) | ~spl6_1), 247.33/35.58 inference(avatar_component_clause,[],[f80])). 247.33/35.58 tff(f80,plain,( 247.33/35.58 spl6_1 <=> minsol_model_max(sK0,sK1,sK2)), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_1])])). 247.33/35.58 tff(f61,plain,( 247.33/35.58 ( ! [X0 : $int,X1 : $int] : (~$less(summation(X1),summation(X0)) | $less(X1,X0)) )), 247.33/35.58 inference(cnf_transformation,[],[f39])). 247.33/35.58 tff(f39,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int] : ((~$less(X1,X0) | $less(summation(X1),summation(X0))) & (~$less(summation(X1),summation(X0)) | $less(X1,X0)))), 247.33/35.58 inference(nnf_transformation,[],[f13])). 247.33/35.58 tff(f13,plain,( 247.33/35.58 ! [X0 : $int,X1 : $int] : (~$less(X1,X0) <=> ~$less(summation(X1),summation(X0)))), 247.33/35.58 inference(theory_normalization,[],[f1])). 247.33/35.58 tff(f1,axiom,( 247.33/35.58 ! [X0 : $int,X1 : $int] : ($lesseq(X0,X1) <=> $lesseq(summation(X0),summation(X1)))), 247.33/35.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',summation_monotone)). 247.33/35.58 tff(f158573,plain,( 247.33/35.58 $less(summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))),sK2) | ~spl6_83), 247.33/35.58 inference(avatar_component_clause,[],[f158571])). 247.33/35.58 tff(f158571,plain,( 247.33/35.58 spl6_83 <=> $less(summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))),sK2)), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_83])])). 247.33/35.58 tff(f180208,plain,( 247.33/35.58 ~spl6_1 | ~spl6_3 | ~spl6_12 | ~spl6_16 | ~spl6_84 | ~spl6_85), 247.33/35.58 inference(avatar_contradiction_clause,[],[f180207])). 247.33/35.58 tff(f180207,plain,( 247.33/35.58 $false | (~spl6_1 | ~spl6_3 | ~spl6_12 | ~spl6_16 | ~spl6_84 | ~spl6_85)), 247.33/35.58 inference(subsumption_resolution,[],[f180183,f166929])). 247.33/35.58 tff(f166929,plain,( 247.33/35.58 ~$less(sK2,summation(sK1)) | (~spl6_3 | ~spl6_16)), 247.33/35.58 inference(superposition,[],[f3086,f1036])). 247.33/35.58 tff(f180183,plain,( 247.33/35.58 $less(sK2,summation(sK1)) | (~spl6_1 | ~spl6_12 | ~spl6_16 | ~spl6_84 | ~spl6_85)), 247.33/35.58 inference(superposition,[],[f167109,f180148])). 247.33/35.58 tff(f180148,plain,( 247.33/35.58 sK2 = sK3(sK0,sK1,sK2) | (~spl6_1 | ~spl6_12 | ~spl6_16 | ~spl6_84 | ~spl6_85)), 247.33/35.58 inference(forward_demodulation,[],[f180147,f10686])). 247.33/35.58 tff(f10686,plain,( 247.33/35.58 sK2 = max(sK2,sK3(sK0,sK1,sK2)) | ~spl6_12), 247.33/35.58 inference(resolution,[],[f5260,f24])). 247.33/35.58 tff(f5260,plain,( 247.33/35.58 ( ! [X6 : $int] : ($less(X6,sK2) | max(X6,sK3(sK0,sK1,sK2)) = X6) ) | ~spl6_12), 247.33/35.58 inference(resolution,[],[f5106,f60])). 247.33/35.58 tff(f5106,plain,( 247.33/35.58 ( ! [X1 : $int] : (~$less(X1,sK3(sK0,sK1,sK2)) | $less(X1,sK2)) ) | ~spl6_12), 247.33/35.58 inference(resolution,[],[f618,f25])). 247.33/35.58 tff(f618,plain,( 247.33/35.58 $less(sK3(sK0,sK1,sK2),sK2) | ~spl6_12), 247.33/35.58 inference(avatar_component_clause,[],[f616])). 247.33/35.58 tff(f616,plain,( 247.33/35.58 spl6_12 <=> $less(sK3(sK0,sK1,sK2),sK2)), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_12])])). 247.33/35.58 tff(f180147,plain,( 247.33/35.58 sK3(sK0,sK1,sK2) = max(sK2,sK3(sK0,sK1,sK2)) | (~spl6_1 | ~spl6_16 | ~spl6_84 | ~spl6_85)), 247.33/35.58 inference(forward_demodulation,[],[f180137,f162361])). 247.33/35.58 tff(f162361,plain,( 247.33/35.58 sK3(sK0,sK1,sK2) = summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_84), 247.33/35.58 inference(avatar_component_clause,[],[f162359])). 247.33/35.58 tff(f162359,plain,( 247.33/35.58 spl6_84 <=> sK3(sK0,sK1,sK2) = summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_84])])). 247.33/35.58 tff(f180137,plain,( 247.33/35.58 summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))) = max(sK2,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))) | (~spl6_1 | ~spl6_16 | ~spl6_85)), 247.33/35.58 inference(resolution,[],[f168802,f168204])). 247.33/35.58 tff(f168802,plain,( 247.33/35.58 ( ! [X41 : $int] : ($less(X41,sK1) | summation(X41) = max(sK2,summation(X41))) ) | (~spl6_1 | ~spl6_16)), 247.33/35.58 inference(resolution,[],[f167091,f61])). 247.33/35.58 tff(f167109,plain,( 247.33/35.58 $less(sK3(sK0,sK1,sK2),summation(sK1)) | (~spl6_1 | ~spl6_12 | ~spl6_16)), 247.33/35.58 inference(resolution,[],[f165921,f618])). 247.33/35.58 tff(f168623,plain,( 247.33/35.58 spl6_22 | spl6_88 | spl6_19), 247.33/35.58 inference(avatar_split_clause,[],[f166021,f1228,f168620,f1348])). 247.33/35.58 tff(f1228,plain,( 247.33/35.58 spl6_19 <=> $less(sK1,sK0)), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_19])])). 247.33/35.58 tff(f166021,plain,( 247.33/35.58 $less(sK0,sK1) | sK0 = sK1 | spl6_19), 247.33/35.58 inference(resolution,[],[f1229,f26])). 247.33/35.58 tff(f1229,plain,( 247.33/35.58 ~$less(sK1,sK0) | spl6_19), 247.33/35.58 inference(avatar_component_clause,[],[f1228])). 247.33/35.58 tff(f166813,plain,( 247.33/35.58 spl6_85 | ~spl6_13 | spl6_2), 247.33/35.58 inference(avatar_split_clause,[],[f5102,f84,f620,f166810])). 247.33/35.58 tff(f5102,plain,( 247.33/35.58 ~model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | spl6_2), 247.33/35.58 inference(resolution,[],[f85,f68])). 247.33/35.58 tff(f68,plain,( 247.33/35.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | model_ub(X0,X1,sK3(X0,X1,X2))) )), 247.33/35.58 inference(cnf_transformation,[],[f46])). 247.33/35.58 tff(f85,plain,( 247.33/35.58 ~minsol_model_ub(sK0,sK1,sK2) | spl6_2), 247.33/35.58 inference(avatar_component_clause,[],[f84])). 247.33/35.58 tff(f165909,plain,( 247.33/35.58 ~spl6_15 | ~spl6_16 | spl6_19), 247.33/35.58 inference(avatar_contradiction_clause,[],[f165908])). 247.33/35.58 tff(f165908,plain,( 247.33/35.58 $false | (~spl6_15 | ~spl6_16 | spl6_19)), 247.33/35.58 inference(subsumption_resolution,[],[f165907,f1229])). 247.33/35.58 tff(f165907,plain,( 247.33/35.58 $less(sK1,sK0) | (~spl6_15 | ~spl6_16)), 247.33/35.58 inference(forward_demodulation,[],[f692,f1036])). 247.33/35.58 tff(f692,plain,( 247.33/35.58 $less(max(sK0,sK1),sK0) | ~spl6_15), 247.33/35.58 inference(avatar_component_clause,[],[f690])). 247.33/35.58 tff(f690,plain,( 247.33/35.58 spl6_15 <=> $less(max(sK0,sK1),sK0)), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_15])])). 247.33/35.58 tff(f165607,plain,( 247.33/35.58 ~spl6_14 | ~spl6_16), 247.33/35.58 inference(avatar_contradiction_clause,[],[f165606])). 247.33/35.58 tff(f165606,plain,( 247.33/35.58 $false | (~spl6_14 | ~spl6_16)), 247.33/35.58 inference(subsumption_resolution,[],[f165605,f24])). 247.33/35.58 tff(f165605,plain,( 247.33/35.58 $less(sK1,sK1) | (~spl6_14 | ~spl6_16)), 247.33/35.58 inference(forward_demodulation,[],[f688,f1036])). 247.33/35.58 tff(f688,plain,( 247.33/35.58 $less(max(sK0,sK1),sK1) | ~spl6_14), 247.33/35.58 inference(avatar_component_clause,[],[f686])). 247.33/35.58 tff(f686,plain,( 247.33/35.58 spl6_14 <=> $less(max(sK0,sK1),sK1)), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_14])])). 247.33/35.58 tff(f165458,plain,( 247.33/35.58 ~spl6_15 | ~spl6_19), 247.33/35.58 inference(avatar_contradiction_clause,[],[f165457])). 247.33/35.58 tff(f165457,plain,( 247.33/35.58 $false | (~spl6_15 | ~spl6_19)), 247.33/35.58 inference(subsumption_resolution,[],[f165456,f24])). 247.33/35.58 tff(f165456,plain,( 247.33/35.58 $less(sK0,sK0) | (~spl6_15 | ~spl6_19)), 247.33/35.58 inference(forward_demodulation,[],[f692,f3289])). 247.33/35.58 tff(f3289,plain,( 247.33/35.58 sK0 = max(sK0,sK1) | ~spl6_19), 247.33/35.58 inference(resolution,[],[f3133,f24])). 247.33/35.58 tff(f3133,plain,( 247.33/35.58 ( ! [X6 : $int] : ($less(sK1,X6) | sK0 = max(sK0,X6)) ) | ~spl6_19), 247.33/35.58 inference(resolution,[],[f3074,f60])). 247.33/35.58 tff(f3074,plain,( 247.33/35.58 ( ! [X0 : $int] : (~$less(sK0,X0) | $less(sK1,X0)) ) | ~spl6_19), 247.33/35.58 inference(resolution,[],[f1230,f25])). 247.33/35.58 tff(f1230,plain,( 247.33/35.58 $less(sK1,sK0) | ~spl6_19), 247.33/35.58 inference(avatar_component_clause,[],[f1228])). 247.33/35.58 tff(f165410,plain,( 247.33/35.58 ~spl6_14 | ~spl6_19), 247.33/35.58 inference(avatar_contradiction_clause,[],[f165409])). 247.33/35.58 tff(f165409,plain,( 247.33/35.58 $false | (~spl6_14 | ~spl6_19)), 247.33/35.58 inference(subsumption_resolution,[],[f165356,f24])). 247.33/35.58 tff(f165356,plain,( 247.33/35.58 $less(sK0,sK0) | (~spl6_14 | ~spl6_19)), 247.33/35.58 inference(resolution,[],[f163867,f3075])). 247.33/35.58 tff(f3075,plain,( 247.33/35.58 ( ! [X1 : $int] : (~$less(X1,sK1) | $less(X1,sK0)) ) | ~spl6_19), 247.33/35.58 inference(resolution,[],[f1230,f25])). 247.33/35.58 tff(f163867,plain,( 247.33/35.58 $less(sK0,sK1) | (~spl6_14 | ~spl6_19)), 247.33/35.58 inference(forward_demodulation,[],[f688,f3289])). 247.33/35.58 tff(f165089,plain,( 247.33/35.58 ~spl6_3 | ~spl6_19 | ~spl6_20), 247.33/35.58 inference(avatar_contradiction_clause,[],[f165088])). 247.33/35.58 tff(f165088,plain,( 247.33/35.58 $false | (~spl6_3 | ~spl6_19 | ~spl6_20)), 247.33/35.58 inference(subsumption_resolution,[],[f1239,f3334])). 247.33/35.58 tff(f3334,plain,( 247.33/35.58 ~$less(sK2,summation(sK0)) | (~spl6_3 | ~spl6_19)), 247.33/35.58 inference(superposition,[],[f3086,f3289])). 247.33/35.58 tff(f1239,plain,( 247.33/35.58 $less(sK2,summation(sK0)) | ~spl6_20), 247.33/35.58 inference(avatar_component_clause,[],[f1237])). 247.33/35.58 tff(f1237,plain,( 247.33/35.58 spl6_20 <=> $less(sK2,summation(sK0))), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_20])])). 247.33/35.58 tff(f163770,plain,( 247.33/35.58 ~spl6_1 | spl6_2 | ~spl6_12 | ~spl6_13 | ~spl6_19 | spl6_20 | spl6_80), 247.33/35.58 inference(avatar_contradiction_clause,[],[f163769])). 247.33/35.58 tff(f163769,plain,( 247.33/35.58 $false | (~spl6_1 | spl6_2 | ~spl6_12 | ~spl6_13 | ~spl6_19 | spl6_20 | spl6_80)), 247.33/35.58 inference(subsumption_resolution,[],[f124142,f85969])). 247.33/35.58 tff(f85969,plain,( 247.33/35.58 sK0 = sK4(sK0,sK1,sK3(sK0,sK1,sK2)) | (~spl6_1 | spl6_2 | ~spl6_12 | ~spl6_13 | ~spl6_19 | spl6_20)), 247.33/35.58 inference(subsumption_resolution,[],[f85968,f618])). 247.33/35.58 tff(f85968,plain,( 247.33/35.58 sK0 = sK4(sK0,sK1,sK3(sK0,sK1,sK2)) | ~$less(sK3(sK0,sK1,sK2),sK2) | (~spl6_1 | spl6_2 | ~spl6_13 | ~spl6_19 | spl6_20)), 247.33/35.58 inference(subsumption_resolution,[],[f85774,f5334])). 247.33/35.58 tff(f5334,plain,( 247.33/35.58 ~$less(sK4(sK0,sK1,sK3(sK0,sK1,sK2)),sK0) | (spl6_2 | ~spl6_13)), 247.33/35.58 inference(resolution,[],[f5131,f64])). 247.33/35.58 tff(f64,plain,( 247.33/35.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X2,X0) | ~ub(X0,X1,X2)) )), 247.33/35.58 inference(cnf_transformation,[],[f41])). 247.33/35.58 tff(f5131,plain,( 247.33/35.58 ub(sK0,sK1,sK4(sK0,sK1,sK3(sK0,sK1,sK2))) | (spl6_2 | ~spl6_13)), 247.33/35.58 inference(resolution,[],[f5104,f71])). 247.33/35.58 tff(f5104,plain,( 247.33/35.58 model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | (spl6_2 | ~spl6_13)), 247.33/35.58 inference(subsumption_resolution,[],[f5102,f621])). 247.33/35.58 tff(f85774,plain,( 247.33/35.58 $less(sK4(sK0,sK1,sK3(sK0,sK1,sK2)),sK0) | sK0 = sK4(sK0,sK1,sK3(sK0,sK1,sK2)) | ~$less(sK3(sK0,sK1,sK2),sK2) | (~spl6_1 | spl6_2 | ~spl6_13 | ~spl6_19 | spl6_20)), 247.33/35.58 inference(resolution,[],[f5469,f5626])). 247.33/35.58 tff(f5626,plain,( 247.33/35.58 ( ! [X2 : $int] : (~$less(X2,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~$less(sK3(sK0,sK1,sK2),X2)) ) | (spl6_2 | ~spl6_13)), 247.33/35.58 inference(resolution,[],[f5130,f25])). 247.33/35.58 tff(f5130,plain,( 247.33/35.58 ~$less(sK3(sK0,sK1,sK2),summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))) | (spl6_2 | ~spl6_13)), 247.33/35.58 inference(resolution,[],[f5104,f70])). 247.33/35.58 tff(f70,plain,( 247.33/35.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X2,summation(sK4(X0,X1,X2))) | ~model_ub(X0,X1,X2)) )), 247.33/35.58 inference(cnf_transformation,[],[f50])). 247.33/35.58 tff(f5469,plain,( 247.33/35.58 ( ! [X2 : $int] : ($less(sK2,summation(X2)) | $less(X2,sK0) | sK0 = X2) ) | (~spl6_1 | ~spl6_19 | spl6_20)), 247.33/35.58 inference(resolution,[],[f5352,f26])). 247.33/35.58 tff(f5352,plain,( 247.33/35.58 ( ! [X8 : $int] : (~$less(sK0,X8) | $less(sK2,summation(X8))) ) | (~spl6_1 | ~spl6_19 | spl6_20)), 247.33/35.58 inference(superposition,[],[f62,f5325])). 247.33/35.58 tff(f5325,plain,( 247.33/35.58 sK2 = summation(sK0) | (~spl6_1 | ~spl6_19 | spl6_20)), 247.33/35.58 inference(forward_demodulation,[],[f5282,f3096])). 247.33/35.58 tff(f3096,plain,( 247.33/35.58 sK2 = max(sK2,summation(sK0)) | spl6_20), 247.33/35.58 inference(resolution,[],[f1238,f60])). 247.33/35.58 tff(f1238,plain,( 247.33/35.58 ~$less(sK2,summation(sK0)) | spl6_20), 247.33/35.58 inference(avatar_component_clause,[],[f1237])). 247.33/35.58 tff(f5282,plain,( 247.33/35.58 summation(sK0) = max(sK2,summation(sK0)) | (~spl6_1 | ~spl6_19)), 247.33/35.58 inference(resolution,[],[f5142,f24])). 247.33/35.58 tff(f5142,plain,( 247.33/35.58 ( ! [X8 : $int] : ($less(X8,summation(sK0)) | max(sK2,X8) = X8) ) | (~spl6_1 | ~spl6_19)), 247.33/35.58 inference(resolution,[],[f5125,f59])). 247.33/35.58 tff(f5125,plain,( 247.33/35.58 ( ! [X1 : $int] : (~$less(X1,sK2) | $less(X1,summation(sK0))) ) | (~spl6_1 | ~spl6_19)), 247.33/35.58 inference(forward_demodulation,[],[f5121,f3289])). 247.33/35.58 tff(f62,plain,( 247.33/35.58 ( ! [X0 : $int,X1 : $int] : (~$less(X1,X0) | $less(summation(X1),summation(X0))) )), 247.33/35.58 inference(cnf_transformation,[],[f39])). 247.33/35.58 tff(f124142,plain,( 247.33/35.58 sK0 != sK4(sK0,sK1,sK3(sK0,sK1,sK2)) | spl6_80), 247.33/35.58 inference(avatar_component_clause,[],[f124141])). 247.33/35.58 tff(f124141,plain,( 247.33/35.58 spl6_80 <=> sK0 = sK4(sK0,sK1,sK3(sK0,sK1,sK2))), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_80])])). 247.33/35.58 tff(f163681,plain,( 247.33/35.58 ~spl6_1 | spl6_2 | ~spl6_12 | ~spl6_13 | ~spl6_19 | ~spl6_80), 247.33/35.58 inference(avatar_contradiction_clause,[],[f163680])). 247.33/35.58 tff(f163680,plain,( 247.33/35.58 $false | (~spl6_1 | spl6_2 | ~spl6_12 | ~spl6_13 | ~spl6_19 | ~spl6_80)), 247.33/35.58 inference(subsumption_resolution,[],[f163662,f5161])). 247.33/35.58 tff(f5161,plain,( 247.33/35.58 $less(sK3(sK0,sK1,sK2),summation(sK0)) | (~spl6_1 | ~spl6_12 | ~spl6_19)), 247.33/35.58 inference(resolution,[],[f5125,f618])). 247.33/35.58 tff(f163662,plain,( 247.33/35.58 ~$less(sK3(sK0,sK1,sK2),summation(sK0)) | (spl6_2 | ~spl6_13 | ~spl6_80)), 247.33/35.58 inference(superposition,[],[f5130,f124143])). 247.33/35.58 tff(f124143,plain,( 247.33/35.58 sK0 = sK4(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_80), 247.33/35.58 inference(avatar_component_clause,[],[f124141])). 247.33/35.58 tff(f162362,plain,( 247.33/35.58 spl6_84 | spl6_83 | spl6_2 | ~spl6_12 | ~spl6_13), 247.33/35.58 inference(avatar_split_clause,[],[f14749,f620,f616,f84,f158571,f162359])). 247.33/35.58 tff(f14749,plain,( 247.33/35.58 $less(summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))),sK2) | sK3(sK0,sK1,sK2) = summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))) | (spl6_2 | ~spl6_12 | ~spl6_13)), 247.33/35.58 inference(resolution,[],[f5256,f5130])). 247.33/35.58 tff(f5256,plain,( 247.33/35.58 ( ! [X2 : $int] : ($less(sK3(sK0,sK1,sK2),X2) | $less(X2,sK2) | sK3(sK0,sK1,sK2) = X2) ) | ~spl6_12), 247.33/35.58 inference(resolution,[],[f5106,f26])). 247.33/35.58 tff(f5099,plain,( 247.33/35.58 ~spl6_2 | ~spl6_4 | ~spl6_5 | ~spl6_19), 247.33/35.58 inference(avatar_contradiction_clause,[],[f5098])). 247.33/35.58 tff(f5098,plain,( 247.33/35.58 $false | (~spl6_2 | ~spl6_4 | ~spl6_5 | ~spl6_19)), 247.33/35.58 inference(subsumption_resolution,[],[f5072,f24])). 247.33/35.58 tff(f5072,plain,( 247.33/35.58 $less(sK0,sK0) | (~spl6_2 | ~spl6_4 | ~spl6_5 | ~spl6_19)), 247.33/35.58 inference(resolution,[],[f3111,f3719])). 247.33/35.58 tff(f3719,plain,( 247.33/35.58 ~$less(sK5(sK0,sK1,sK2),summation(sK0)) | (~spl6_5 | ~spl6_19)), 247.33/35.58 inference(superposition,[],[f3187,f3289])). 247.33/35.58 tff(f3187,plain,( 247.33/35.58 ~$less(sK5(sK0,sK1,sK2),summation(max(sK0,sK1))) | ~spl6_5), 247.33/35.58 inference(resolution,[],[f191,f74])). 247.33/35.58 tff(f3111,plain,( 247.33/35.58 ( ! [X0 : $int] : ($less(sK5(sK0,sK1,sK2),summation(X0)) | $less(X0,sK0)) ) | (~spl6_2 | ~spl6_4 | ~spl6_19)), 247.33/35.58 inference(subsumption_resolution,[],[f3100,f3075])). 247.33/35.58 tff(f3100,plain,( 247.33/35.58 ( ! [X0 : $int] : ($less(sK5(sK0,sK1,sK2),summation(X0)) | $less(X0,sK0) | $less(X0,sK1)) ) | (~spl6_2 | ~spl6_4)), 247.33/35.58 inference(resolution,[],[f172,f844])). 247.33/35.58 tff(f844,plain,( 247.33/35.58 ( ! [X2 : $int,X1 : $int] : (~$less(X1,sK2) | $less(X1,summation(X2)) | $less(X2,sK0) | $less(X2,sK1)) ) | ~spl6_2), 247.33/35.58 inference(resolution,[],[f725,f65])). 247.33/35.58 tff(f725,plain,( 247.33/35.58 ( ! [X2 : $int,X1 : $int] : (~ub(sK0,sK1,X2) | ~$less(X1,sK2) | $less(X1,summation(X2))) ) | ~spl6_2), 247.33/35.58 inference(resolution,[],[f696,f72])). 247.33/35.58 tff(f696,plain,( 247.33/35.58 ( ! [X0 : $int] : (~model_ub(sK0,sK1,X0) | ~$less(X0,sK2)) ) | ~spl6_2), 247.33/35.58 inference(resolution,[],[f86,f66])). 247.33/35.58 tff(f3580,plain,( 247.33/35.58 ~spl6_3 | spl6_5 | spl6_1), 247.33/35.58 inference(avatar_split_clause,[],[f694,f80,f189,f166])). 247.33/35.58 tff(f694,plain,( 247.33/35.58 model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | ~model_max(sK0,sK1,sK2) | spl6_1), 247.33/35.58 inference(resolution,[],[f81,f75])). 247.33/35.58 tff(f75,plain,( 247.33/35.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : (minsol_model_max(X0,X1,X2) | model_max(X0,X1,sK5(X0,X1,X2)) | ~model_max(X0,X1,X2)) )), 247.33/35.58 inference(cnf_transformation,[],[f56])). 247.33/35.58 tff(f81,plain,( 247.33/35.58 ~minsol_model_max(sK0,sK1,sK2) | spl6_1), 247.33/35.58 inference(avatar_component_clause,[],[f80])). 247.33/35.58 tff(f3326,plain,( 247.33/35.58 ~spl6_3 | spl6_4 | spl6_1), 247.33/35.58 inference(avatar_split_clause,[],[f695,f80,f170,f166])). 247.33/35.58 tff(f695,plain,( 247.33/35.58 $less(sK5(sK0,sK1,sK2),sK2) | ~model_max(sK0,sK1,sK2) | spl6_1), 247.33/35.58 inference(resolution,[],[f81,f76])). 247.33/35.58 tff(f76,plain,( 247.33/35.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : (minsol_model_max(X0,X1,X2) | $less(sK5(X0,X1,X2),X2) | ~model_max(X0,X1,X2)) )), 247.33/35.58 inference(cnf_transformation,[],[f56])). 247.33/35.58 tff(f3087,plain,( 247.33/35.58 ~spl6_20 | ~spl6_13 | ~spl6_38), 247.33/35.58 inference(avatar_split_clause,[],[f3046,f2755,f620,f1237])). 247.33/35.58 tff(f2755,plain,( 247.33/35.58 spl6_38 <=> $less(sK0,sK4(sK0,sK1,sK2))), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_38])])). 247.33/35.58 tff(f3046,plain,( 247.33/35.58 ~$less(sK2,summation(sK0)) | (~spl6_13 | ~spl6_38)), 247.33/35.58 inference(resolution,[],[f2757,f867])). 247.33/35.58 tff(f867,plain,( 247.33/35.58 ( ! [X15 : $int] : (~$less(X15,sK4(sK0,sK1,sK2)) | ~$less(sK2,summation(X15))) ) | ~spl6_13), 247.33/35.58 inference(resolution,[],[f770,f62])). 247.33/35.58 tff(f770,plain,( 247.33/35.58 ( ! [X2 : $int] : (~$less(X2,summation(sK4(sK0,sK1,sK2))) | ~$less(sK2,X2)) ) | ~spl6_13), 247.33/35.58 inference(resolution,[],[f703,f25])). 247.33/35.58 tff(f703,plain,( 247.33/35.58 ~$less(sK2,summation(sK4(sK0,sK1,sK2))) | ~spl6_13), 247.33/35.58 inference(resolution,[],[f621,f70])). 247.33/35.58 tff(f2757,plain,( 247.33/35.58 $less(sK0,sK4(sK0,sK1,sK2)) | ~spl6_38), 247.33/35.58 inference(avatar_component_clause,[],[f2755])). 247.33/35.58 tff(f3073,plain,( 247.33/35.58 spl6_16 | spl6_19), 247.33/35.58 inference(avatar_contradiction_clause,[],[f3072])). 247.33/35.58 tff(f3072,plain,( 247.33/35.58 $false | (spl6_16 | spl6_19)), 247.33/35.58 inference(subsumption_resolution,[],[f3066,f1035])). 247.33/35.58 tff(f1035,plain,( 247.33/35.58 sK1 != max(sK0,sK1) | spl6_16), 247.33/35.58 inference(avatar_component_clause,[],[f1034])). 247.33/35.58 tff(f3066,plain,( 247.33/35.58 sK1 = max(sK0,sK1) | spl6_19), 247.33/35.58 inference(resolution,[],[f1229,f59])). 247.33/35.58 tff(f2916,plain,( 247.33/35.58 ~spl6_13 | ~spl6_20 | ~spl6_37), 247.33/35.58 inference(avatar_contradiction_clause,[],[f2915])). 247.33/35.58 tff(f2915,plain,( 247.33/35.58 $false | (~spl6_13 | ~spl6_20 | ~spl6_37)), 247.33/35.58 inference(subsumption_resolution,[],[f2899,f1239])). 247.33/35.58 tff(f2899,plain,( 247.33/35.58 ~$less(sK2,summation(sK0)) | (~spl6_13 | ~spl6_37)), 247.33/35.58 inference(superposition,[],[f703,f2753])). 247.33/35.58 tff(f2753,plain,( 247.33/35.58 sK0 = sK4(sK0,sK1,sK2) | ~spl6_37), 247.33/35.58 inference(avatar_component_clause,[],[f2751])). 247.33/35.58 tff(f2751,plain,( 247.33/35.58 spl6_37 <=> sK0 = sK4(sK0,sK1,sK2)), 247.33/35.58 introduced(avatar_definition,[new_symbols(naming,[spl6_37])])). 247.33/35.58 tff(f2758,plain,( 247.33/35.58 spl6_37 | spl6_38 | ~spl6_13), 247.33/35.58 inference(avatar_split_clause,[],[f792,f620,f2755,f2751])). 247.33/35.58 tff(f792,plain,( 247.33/35.58 $less(sK0,sK4(sK0,sK1,sK2)) | sK0 = sK4(sK0,sK1,sK2) | ~spl6_13), 247.33/35.58 inference(resolution,[],[f781,f26])). 247.33/35.58 tff(f781,plain,( 247.33/35.58 ~$less(sK4(sK0,sK1,sK2),sK0) | ~spl6_13), 247.33/35.58 inference(resolution,[],[f704,f64])). 247.33/35.58 tff(f704,plain,( 247.33/35.58 ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_13), 247.33/35.58 inference(resolution,[],[f621,f71])). 247.33/35.58 tff(f1446,plain,( 247.33/35.58 spl6_20 | spl6_3 | ~spl6_19), 247.33/35.58 inference(avatar_split_clause,[],[f1427,f1228,f166,f1237])). 247.33/35.58 tff(f1427,plain,( 247.33/35.58 $less(sK2,summation(sK0)) | (spl6_3 | ~spl6_19)), 247.33/35.58 inference(superposition,[],[f701,f1390])). 247.33/35.58 tff(f1390,plain,( 247.33/35.58 sK0 = max(sK0,sK1) | ~spl6_19), 247.33/35.58 inference(resolution,[],[f1314,f24])). 247.33/35.58 tff(f1314,plain,( 247.33/35.58 ( ! [X6 : $int] : ($less(sK1,X6) | sK0 = max(sK0,X6)) ) | ~spl6_19), 247.33/35.58 inference(resolution,[],[f1283,f60])). 247.33/35.58 tff(f1283,plain,( 247.33/35.58 ( ! [X0 : $int] : (~$less(sK0,X0) | $less(sK1,X0)) ) | ~spl6_19), 247.33/35.58 inference(resolution,[],[f1230,f25])). 247.33/35.58 tff(f701,plain,( 247.33/35.58 $less(sK2,summation(max(sK0,sK1))) | spl6_3), 247.33/35.58 inference(resolution,[],[f168,f73])). 247.33/35.58 tff(f168,plain,( 247.33/35.58 ~model_max(sK0,sK1,sK2) | spl6_3), 247.33/35.58 inference(avatar_component_clause,[],[f166])). 247.33/35.58 tff(f1282,plain,( 247.33/35.58 spl6_3 | ~spl6_11 | ~spl6_13 | ~spl6_16), 247.33/35.58 inference(avatar_contradiction_clause,[],[f1281])). 247.33/35.58 tff(f1281,plain,( 247.33/35.58 $false | (spl6_3 | ~spl6_11 | ~spl6_13 | ~spl6_16)), 247.33/35.58 inference(subsumption_resolution,[],[f1271,f890])). 247.33/35.58 tff(f890,plain,( 247.33/35.58 ~$less(sK2,summation(sK1)) | (~spl6_11 | ~spl6_13)), 247.33/35.58 inference(resolution,[],[f867,f485])). 247.33/35.58 tff(f485,plain,( 247.33/35.58 $less(sK1,sK4(sK0,sK1,sK2)) | ~spl6_11), 247.33/35.58 inference(avatar_component_clause,[],[f483])). 247.33/35.58 tff(f1271,plain,( 247.33/35.58 $less(sK2,summation(sK1)) | (spl6_3 | ~spl6_16)), 247.33/35.58 inference(superposition,[],[f701,f1036])). 247.33/35.58 tff(f759,plain,( 247.33/35.58 spl6_3 | ~spl6_10 | ~spl6_13), 247.33/35.58 inference(avatar_contradiction_clause,[],[f758])). 247.33/35.58 tff(f758,plain,( 247.33/35.58 $false | (spl6_3 | ~spl6_10 | ~spl6_13)), 247.33/35.58 inference(subsumption_resolution,[],[f754,f708])). 247.33/35.58 tff(f708,plain,( 247.33/35.58 ~$less(sK2,summation(sK1)) | (~spl6_10 | ~spl6_13)), 247.33/35.58 inference(forward_demodulation,[],[f703,f481])). 247.33/35.58 tff(f481,plain,( 247.33/35.58 sK1 = sK4(sK0,sK1,sK2) | ~spl6_10), 247.33/35.58 inference(avatar_component_clause,[],[f479])). 247.33/35.58 tff(f754,plain,( 247.33/35.58 $less(sK2,summation(sK1)) | (spl6_3 | ~spl6_10 | ~spl6_13)), 247.33/35.58 inference(superposition,[],[f701,f731])). 247.33/35.58 tff(f731,plain,( 247.33/35.58 sK1 = max(sK0,sK1) | (~spl6_10 | ~spl6_13)), 247.33/35.58 inference(resolution,[],[f722,f59])). 247.33/35.58 tff(f722,plain,( 247.33/35.58 ~$less(sK1,sK0) | (~spl6_10 | ~spl6_13)), 247.33/35.58 inference(resolution,[],[f709,f64])). 247.33/35.58 tff(f709,plain,( 247.33/35.58 ub(sK0,sK1,sK1) | (~spl6_10 | ~spl6_13)), 247.33/35.58 inference(forward_demodulation,[],[f704,f481])). 247.33/35.58 tff(f702,plain,( 247.33/35.58 spl6_13 | ~spl6_2), 247.33/35.58 inference(avatar_split_clause,[],[f697,f84,f620])). 247.33/35.58 tff(f697,plain,( 247.33/35.58 model_ub(sK0,sK1,sK2) | ~spl6_2), 247.33/35.58 inference(resolution,[],[f86,f67])). 247.33/35.58 tff(f67,plain,( 247.33/35.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : (model_ub(X0,X1,X2) | ~minsol_model_ub(X0,X1,X2)) )), 247.33/35.58 inference(cnf_transformation,[],[f46])). 247.33/35.58 tff(f693,plain,( 247.33/35.58 spl6_14 | spl6_15 | ~spl6_3 | spl6_13), 247.33/35.58 inference(avatar_split_clause,[],[f672,f620,f166,f690,f686])). 247.33/35.58 tff(f672,plain,( 247.33/35.58 $less(max(sK0,sK1),sK0) | $less(max(sK0,sK1),sK1) | (~spl6_3 | spl6_13)), 247.33/35.58 inference(resolution,[],[f626,f497])). 247.33/35.58 tff(f497,plain,( 247.33/35.58 ~$less(sK2,summation(max(sK0,sK1))) | ~spl6_3), 247.33/35.58 inference(resolution,[],[f167,f74])). 247.33/35.58 tff(f626,plain,( 247.33/35.58 ( ! [X0 : $int] : ($less(sK2,summation(X0)) | $less(X0,sK0) | $less(X0,sK1)) ) | spl6_13), 247.33/35.58 inference(resolution,[],[f624,f65])). 247.33/35.58 tff(f624,plain,( 247.33/35.58 ( ! [X0 : $int] : (~ub(sK0,sK1,X0) | $less(sK2,summation(X0))) ) | spl6_13), 247.33/35.58 inference(resolution,[],[f622,f72])). 247.33/35.58 tff(f622,plain,( 247.33/35.58 ~model_ub(sK0,sK1,sK2) | spl6_13), 247.33/35.58 inference(avatar_component_clause,[],[f620])). 247.33/35.58 tff(f623,plain,( 247.33/35.58 spl6_12 | ~spl6_13 | spl6_2), 247.33/35.58 inference(avatar_split_clause,[],[f492,f84,f620,f616])). 247.33/35.58 tff(f492,plain,( 247.33/35.58 ~model_ub(sK0,sK1,sK2) | $less(sK3(sK0,sK1,sK2),sK2) | spl6_2), 247.33/35.58 inference(resolution,[],[f85,f69])). 247.33/35.58 tff(f69,plain,( 247.33/35.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : (minsol_model_ub(X0,X1,X2) | ~model_ub(X0,X1,X2) | $less(sK3(X0,X1,X2),X2)) )), 247.33/35.58 inference(cnf_transformation,[],[f46])). 247.33/35.58 tff(f493,plain,( 247.33/35.58 spl6_3 | ~spl6_1), 247.33/35.58 inference(avatar_split_clause,[],[f487,f80,f166])). 247.33/35.58 tff(f487,plain,( 247.33/35.58 model_max(sK0,sK1,sK2) | ~spl6_1), 247.33/35.58 inference(resolution,[],[f82,f77])). 247.33/35.58 tff(f77,plain,( 247.33/35.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : (model_max(X0,X1,X2) | ~minsol_model_max(X0,X1,X2)) )), 247.33/35.58 inference(cnf_transformation,[],[f56])). 247.33/35.58 tff(f130,plain,( 247.33/35.58 ~spl6_1 | ~spl6_2), 247.33/35.58 inference(avatar_split_clause,[],[f58,f84,f80])). 247.33/35.58 tff(f58,plain,( 247.33/35.58 ~minsol_model_ub(sK0,sK1,sK2) | ~minsol_model_max(sK0,sK1,sK2)), 247.33/35.58 inference(cnf_transformation,[],[f38])). 247.33/35.58 tff(f38,plain,( 247.33/35.58 (~minsol_model_ub(sK0,sK1,sK2) | ~minsol_model_max(sK0,sK1,sK2)) & (minsol_model_ub(sK0,sK1,sK2) | minsol_model_max(sK0,sK1,sK2))), 247.33/35.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f36,f37])). 247.33/35.58 tff(f37,plain,( 247.33/35.58 ? [X0 : $int,X1 : $int,X2 : $int] : ((~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)))), 247.33/35.58 introduced(choice_axiom,[])). 247.33/35.58 tff(f36,plain,( 247.33/35.58 ? [X0 : $int,X1 : $int,X2 : $int] : ((~minsol_model_ub(X0,X1,X2) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | minsol_model_max(X0,X1,X2)))), 247.33/35.58 inference(nnf_transformation,[],[f33])). 247.33/35.58 tff(f33,plain,( 247.33/35.58 ? [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_max(X0,X1,X2) <~> minsol_model_ub(X0,X1,X2))), 247.33/35.58 inference(ennf_transformation,[],[f31])). 247.33/35.58 tff(f31,plain,( 247.33/35.58 ~! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_max(X0,X1,X2) <=> minsol_model_ub(X0,X1,X2))), 247.33/35.58 inference(rectify,[],[f5])). 247.33/35.58 tff(f5,negated_conjecture,( 247.33/35.58 ~! [X0 : $int,X1 : $int,X3 : $int] : (minsol_model_max(X0,X1,X3) <=> minsol_model_ub(X0,X1,X3))), 247.33/35.58 inference(negated_conjecture,[],[f4])). 247.33/35.58 tff(f4,conjecture,( 247.33/35.58 ! [X0 : $int,X1 : $int,X3 : $int] : (minsol_model_max(X0,X1,X3) <=> minsol_model_ub(X0,X1,X3))), 247.33/35.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_ub_1)). 247.33/35.58 tff(f87,plain,( 247.33/35.58 spl6_1 | spl6_2), 247.33/35.58 inference(avatar_split_clause,[],[f57,f84,f80])). 247.33/35.58 tff(f57,plain,( 247.33/35.58 minsol_model_ub(sK0,sK1,sK2) | minsol_model_max(sK0,sK1,sK2)), 247.33/35.58 inference(cnf_transformation,[],[f38])). 247.33/35.58 % SZS output end Proof for theBenchmark 247.33/35.58 % (22314)------------------------------ 247.33/35.58 % (22314)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100) 247.33/35.58 % (22314)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44 247.33/35.58 % (22314)Termination reason: Refutation 247.33/35.58 247.33/35.58 % (22314)Memory used [KB]: 57696 247.33/35.58 % (22314)Time elapsed: 3.219 s 247.33/35.58 % (22314)------------------------------ 247.33/35.58 % (22314)------------------------------ 247.33/35.58 % (20801)Success in time 35.194 s 247.33/35.58 % Vampire---4.8 exiting 247.33/35.63 EOF