0.07/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_vampire %s %d 0.12/0.33 % Computer : n015.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 : 1200 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Jul 13 16:04:04 EDT 2021 0.12/0.33 % CPUTime : 0.20/0.39 % (28955)ott+4_1024_afr=on:afp=4000:afq=1.4:amm=off:anc=none:bs=unit_only:bsr=on:cond=fast:gsp=input_only:gs=on:gsaa=from_current:nm=16:nwc=1.1:nicw=on:sas=z3:sp=occurrence:updr=off_1389 on theBenchmark 0.20/0.39 % (28952)lrs-11_24_av=off:bd=off:bs=on:fsr=off:gs=on:gsem=off:lma=on:nm=4:nwc=1.7:stl=90:sp=occurrence:updr=off_61 on theBenchmark 0.20/0.40 % (28953)ott+11_50_add=large:afr=on:afp=40000:afq=1.1:amm=sco:anc=all:bd=off:cond=fast:gs=on:gsem=on:irw=on:lma=on:nm=0:nwc=1:sp=occurrence:updr=off:uhcvi=on_102 on theBenchmark 0.20/0.40 % (28954)lrs+11_3:2_add=large:afr=on:afp=10000:afq=1.2:amm=off:anc=none:bs=unit_only:cond=on:gs=on:gsaa=full_model:gsem=off:irw=on:lwlo=on:nm=32:nwc=1.2:sas=z3:stl=90:sac=on_214 on theBenchmark 0.20/0.42 % (28956)lrs+1010_4_awrs=decay:awrsf=64:add=large:afp=4000:afq=1.2:amm=off:anc=none:bs=on:bsr=on:fde=none:gs=on:gsaa=from_current:gsem=on:lma=on:newcnf=on:nwc=1.7:sas=z3:stl=30:sd=10:ss=axioms:s2a=on:st=1.2:sp=frequency:updr=off:uhcvi=on_211 on theBenchmark 0.20/0.43 % (28948)lrs-11_8_afr=on:afp=100000:afq=2.0:anc=none:bd=off:cond=on:gs=on:lma=on:nm=2:newcnf=on:nwc=3:stl=30:sac=on:sp=occurrence_6 on theBenchmark 0.20/0.43 % (28957)ott+2_20_add=off:afp=10000:afq=2.0:anc=none:bs=unit_only:fde=unused:irw=on:lma=on:nm=4:nwc=1:sas=z3:sac=on:urr=ec_only:uhcvi=on_420 on theBenchmark 0.20/0.44 % (28958)ott+10_1024_afp=40000:afq=2.0:amm=off:anc=all:bd=preordered:bs=unit_only:fde=unused:irw=on:nm=16:nwc=1:sp=reverse_arity:uhcvi=on_823 on theBenchmark 0.20/0.44 % (28951)lrs+1004_5:4_aac=none:add=large:afp=100000:afq=1.4:anc=all_dependent:bd=off:cond=fast:gsp=input_only:gs=on:gsem=off:lma=on:lwlo=on:nm=4:newcnf=on:nwc=1:stl=30:sp=occurrence:updr=off:uhcvi=on_99 on theBenchmark 0.20/0.45 % (28949)lrs+1011_5:1_acc=on:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark 0.20/0.45 % (28959)lrs+10_5:1_add=large:afp=1000:afq=1.0:amm=sco:anc=none:bs=unit_only:bsr=on:cond=fast:fsr=off:fde=none:gs=on:gsaa=full_model:gsem=on:irw=on:lwlo=on:nm=2:nwc=1:stl=210:uhcvi=on_1759 on theBenchmark 0.20/0.45 % (28950)lrs+10_12_add=off:afp=100000:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_79 on theBenchmark 4.77/1.00 % (28949)Time limit reached! 4.77/1.00 % (28949)------------------------------ 4.77/1.00 % (28949)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.77/1.00 % (28949)Termination reason: Time limit 4.77/1.00 4.77/1.00 % (28949)Memory used [KB]: 19573 4.77/1.00 % (28949)Time elapsed: 0.607 s 4.77/1.00 % (28949)------------------------------ 4.77/1.00 % (28949)------------------------------ 7.92/1.41 % (28948)Time limit reached! 7.92/1.41 % (28948)------------------------------ 7.92/1.41 % (28948)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.92/1.41 % (28948)Termination reason: Time limit 7.92/1.41 % (28948)Termination phase: Saturation 7.92/1.41 7.92/1.41 % (28948)Memory used [KB]: 22387 7.92/1.41 % (28948)Time elapsed: 1.0000 s 7.92/1.41 % (28948)------------------------------ 7.92/1.41 % (28948)------------------------------ 65.10/8.58 % (28952)Time limit reached! 65.10/8.58 % (28952)------------------------------ 65.10/8.58 % (28952)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 65.10/8.59 % (28952)Termination reason: Time limit 65.10/8.59 % (28952)Termination phase: Saturation 65.10/8.59 65.10/8.59 % (28952)Memory used [KB]: 176415 65.10/8.59 % (28952)Time elapsed: 8.100 s 65.10/8.59 % (28952)------------------------------ 65.10/8.59 % (28952)------------------------------ 82.75/10.80 % (28950)Time limit reached! 82.75/10.80 % (28950)------------------------------ 82.75/10.80 % (28950)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 82.75/10.80 % (28950)Termination reason: Time limit 82.75/10.80 % (28950)Termination phase: Saturation 82.75/10.80 82.75/10.80 % (28950)Memory used [KB]: 145583 82.75/10.80 % (28950)Time elapsed: 10.400 s 82.75/10.80 % (28950)------------------------------ 82.75/10.80 % (28950)------------------------------ 103.49/13.39 % (28951)Time limit reached! 103.49/13.39 % (28951)------------------------------ 103.49/13.39 % (28951)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 103.49/13.39 % (28951)Termination reason: Time limit 103.49/13.39 % (28951)Termination phase: Saturation 103.49/13.39 103.49/13.39 % (28951)Memory used [KB]: 260336 103.49/13.39 % (28951)Time elapsed: 13.0000 s 103.49/13.39 % (28951)------------------------------ 103.49/13.39 % (28951)------------------------------ 105.85/13.80 % (28953)Time limit reached! 105.85/13.80 % (28953)------------------------------ 105.85/13.80 % (28953)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 105.85/13.80 % (28953)Termination reason: Time limit 105.85/13.80 % (28953)Termination phase: Saturation 105.85/13.80 105.85/13.80 % (28953)Memory used [KB]: 331593 105.85/13.80 % (28953)Time elapsed: 13.400 s 105.85/13.80 % (28953)------------------------------ 105.85/13.80 % (28953)------------------------------ 191.40/28.00 % (28956)Time limit reached! 191.40/28.00 % (28956)------------------------------ 191.40/28.00 % (28956)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 191.40/28.00 % (28956)Termination reason: Time limit 191.40/28.00 % (28956)Termination phase: Saturation 191.40/28.00 191.40/28.00 % (28956)Memory used [KB]: 315986 191.40/28.00 % (28956)Time elapsed: 27.600 s 191.40/28.00 % (28956)------------------------------ 191.40/28.00 % (28956)------------------------------ 193.44/28.39 % (28954)Time limit reached! 193.44/28.39 % (28954)------------------------------ 193.44/28.39 % (28954)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 193.44/28.39 % (28954)Termination reason: Time limit 193.44/28.39 % (28954)Termination phase: Saturation 193.44/28.39 193.44/28.39 % (28954)Memory used [KB]: 493168 193.44/28.39 % (28954)Time elapsed: 28.0000 s 193.44/28.39 % (28954)------------------------------ 193.44/28.39 % (28954)------------------------------ 200.76/30.19 % (28955)Refutation found. Thanks to Tanya! 200.76/30.19 % SZS status Theorem for theBenchmark 200.76/30.19 % SZS output start Proof for theBenchmark 200.76/30.19 fof(f891412,plain,( 200.76/30.19 $false), 200.76/30.19 inference(avatar_sat_refutation,[],[f46,f81,f86,f92,f98,f110,f1015,f2068,f2073,f2078,f2080,f2081,f2082,f2083,f2084,f2085,f2087,f2088,f2089,f2097,f2099,f2110,f2111,f2113,f2115,f2130,f2185,f2190,f2193,f2194,f2280,f296991,f296997,f300475,f300493,f300974,f300975,f300982,f300987,f301094,f301095,f835835,f835847,f835848,f835914,f835917,f835920,f835923,f890150])). 200.76/30.19 fof(f890150,plain,( 200.76/30.19 spl0_1), 200.76/30.19 inference(avatar_contradiction_clause,[],[f890149])). 200.76/30.19 fof(f890149,plain,( 200.76/30.19 $false | spl0_1), 200.76/30.19 inference(subsumption_resolution,[],[f45,f890148])). 200.76/30.19 fof(f890148,plain,( 200.76/30.19 ( ! [X1592] : (leq(multiplication(X1592,multiplication(X1592,multiplication(X1592,multiplication(X1592,multiplication(X1592,X1592))))),star(X1592))) )), 200.76/30.19 inference(forward_demodulation,[],[f890147,f37])). 200.76/30.19 fof(f37,plain,( 200.76/30.19 ( ! [X2,X0,X1] : (multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2))) )), 200.76/30.19 inference(cnf_transformation,[],[f8])). 200.76/30.19 fof(f8,axiom,( 200.76/30.19 ! [X0,X1,X2] : multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2))), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity)). 200.76/30.19 fof(f890147,plain,( 200.76/30.19 ( ! [X1592] : (leq(multiplication(X1592,multiplication(X1592,multiplication(multiplication(X1592,X1592),multiplication(X1592,X1592)))),star(X1592))) )), 200.76/30.19 inference(forward_demodulation,[],[f886627,f37])). 200.76/30.19 fof(f886627,plain,( 200.76/30.19 ( ! [X1592] : (leq(multiplication(multiplication(X1592,X1592),multiplication(multiplication(X1592,X1592),multiplication(X1592,X1592))),star(X1592))) )), 200.76/30.19 inference(superposition,[],[f342142,f885830])). 200.76/30.19 fof(f885830,plain,( 200.76/30.19 ( ! [X0] : (star(X0) = addition(star(multiplication(X0,X0)),star(X0))) )), 200.76/30.19 inference(resolution,[],[f885789,f35])). 200.76/30.19 fof(f35,plain,( 200.76/30.19 ( ! [X0,X1] : (~leq(X0,X1) | addition(X0,X1) = X1) )), 200.76/30.19 inference(cnf_transformation,[],[f23])). 200.76/30.19 fof(f23,plain,( 200.76/30.19 ! [X0,X1] : ((addition(X0,X1) = X1 | ~leq(X0,X1)) & (leq(X0,X1) | addition(X0,X1) != X1))), 200.76/30.19 inference(nnf_transformation,[],[f16])). 200.76/30.19 fof(f16,axiom,( 200.76/30.19 ! [X0,X1] : (addition(X0,X1) = X1 <=> leq(X0,X1))), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order)). 200.76/30.19 fof(f885789,plain,( 200.76/30.19 ( ! [X32] : (leq(star(multiplication(X32,X32)),star(X32))) )), 200.76/30.19 inference(forward_demodulation,[],[f885704,f29])). 200.76/30.19 fof(f29,plain,( 200.76/30.19 ( ! [X0] : (multiplication(one,X0) = X0) )), 200.76/30.19 inference(cnf_transformation,[],[f11])). 200.76/30.19 fof(f11,axiom,( 200.76/30.19 ! [X0] : multiplication(one,X0) = X0), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity)). 200.76/30.19 fof(f885704,plain,( 200.76/30.19 ( ! [X32] : (leq(multiplication(one,star(multiplication(X32,X32))),star(X32))) )), 200.76/30.19 inference(resolution,[],[f296887,f832901])). 200.76/30.19 fof(f832901,plain,( 200.76/30.19 ( ! [X97] : (leq(addition(one,multiplication(star(X97),multiplication(X97,X97))),star(X97))) )), 200.76/30.19 inference(forward_demodulation,[],[f830042,f33])). 200.76/30.19 fof(f33,plain,( 200.76/30.19 ( ! [X0,X1] : (addition(X0,X1) = addition(X1,X0)) )), 200.76/30.19 inference(cnf_transformation,[],[f12])). 200.76/30.19 fof(f12,axiom,( 200.76/30.19 ! [X0,X1] : addition(X0,X1) = addition(X1,X0)), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity)). 200.76/30.19 fof(f830042,plain,( 200.76/30.19 ( ! [X97] : (leq(addition(multiplication(star(X97),multiplication(X97,X97)),one),star(X97))) )), 200.76/30.19 inference(superposition,[],[f14374,f315328])). 200.76/30.19 fof(f315328,plain,( 200.76/30.19 ( ! [X0] : (star(X0) = addition(multiplication(star(X0),multiplication(X0,X0)),star(X0))) )), 200.76/30.19 inference(backward_demodulation,[],[f83720,f314935])). 200.76/30.19 fof(f314935,plain,( 200.76/30.19 ( ! [X0] : (star(X0) = star(star(X0))) )), 200.76/30.19 inference(backward_demodulation,[],[f147513,f313020])). 200.76/30.19 fof(f313020,plain,( 200.76/30.19 ( ! [X0] : (star(X0) = multiplication(star(X0),star(star(X0)))) )), 200.76/30.19 inference(superposition,[],[f33795,f311258])). 200.76/30.19 fof(f311258,plain,( 200.76/30.19 ( ! [X0] : (star(X0) = star(star(star(X0)))) )), 200.76/30.19 inference(resolution,[],[f310649,f300551])). 200.76/30.19 fof(f300551,plain,( 200.76/30.19 ( ! [X0] : (~leq(star(X0),X0) | star(star(X0)) = X0) )), 200.76/30.19 inference(forward_demodulation,[],[f300550,f34359])). 200.76/30.19 fof(f34359,plain,( 200.76/30.19 ( ! [X0] : (star(star(X0)) = addition(X0,star(star(X0)))) )), 200.76/30.19 inference(resolution,[],[f34358,f35])). 200.76/30.19 fof(f34358,plain,( 200.76/30.19 ( ! [X56] : (leq(X56,star(star(X56)))) )), 200.76/30.19 inference(superposition,[],[f34309,f33913])). 200.76/30.19 fof(f33913,plain,( 200.76/30.19 ( ! [X0] : (star(X0) = addition(X0,star(X0))) )), 200.76/30.19 inference(resolution,[],[f33911,f35])). 200.76/30.19 fof(f33911,plain,( 200.76/30.19 ( ! [X47] : (leq(X47,star(X47))) )), 200.76/30.19 inference(superposition,[],[f33847,f14552])). 200.76/30.19 fof(f14552,plain,( 200.76/30.19 ( ! [X171] : (star(X171) = addition(star(X171),multiplication(X171,star(X171)))) )), 200.76/30.19 inference(forward_demodulation,[],[f14551,f14489])). 200.76/30.19 fof(f14489,plain,( 200.76/30.19 ( ! [X7] : (star(X7) = addition(addition(one,star(X7)),multiplication(X7,star(X7)))) )), 200.76/30.19 inference(forward_demodulation,[],[f14331,f33])). 200.76/30.19 fof(f14331,plain,( 200.76/30.19 ( ! [X7] : (star(X7) = addition(addition(star(X7),one),multiplication(X7,star(X7)))) )), 200.76/30.19 inference(superposition,[],[f11808,f1029])). 200.76/30.19 fof(f1029,plain,( 200.76/30.19 ( ! [X57,X56,X55] : (addition(X57,addition(X56,X55)) = addition(addition(X55,X56),X57)) )), 200.76/30.19 inference(forward_demodulation,[],[f983,f27])). 200.76/30.19 fof(f27,plain,( 200.76/30.19 ( ! [X0] : (addition(X0,zero) = X0) )), 200.76/30.19 inference(cnf_transformation,[],[f9])). 200.76/30.19 fof(f9,axiom,( 200.76/30.19 ! [X0] : addition(X0,zero) = X0), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity)). 200.76/30.19 fof(f983,plain,( 200.76/30.19 ( ! [X57,X56,X55] : (addition(addition(X55,X56),addition(X57,zero)) = addition(X57,addition(X56,X55))) )), 200.76/30.19 inference(superposition,[],[f124,f772])). 200.76/30.19 fof(f772,plain,( 200.76/30.19 ( ! [X24,X25] : (addition(X25,X24) = addition(zero,addition(X24,X25))) )), 200.76/30.19 inference(superposition,[],[f124,f47])). 200.76/30.19 fof(f47,plain,( 200.76/30.19 ( ! [X0] : (addition(zero,X0) = X0) )), 200.76/30.19 inference(superposition,[],[f33,f27])). 200.76/30.19 fof(f124,plain,( 200.76/30.19 ( ! [X8,X7,X9] : (addition(X7,addition(X8,X9)) = addition(X9,addition(X7,X8))) )), 200.76/30.19 inference(superposition,[],[f36,f33])). 200.76/30.19 fof(f36,plain,( 200.76/30.19 ( ! [X2,X0,X1] : (addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0)) )), 200.76/30.19 inference(cnf_transformation,[],[f20])). 200.76/30.19 fof(f20,plain,( 200.76/30.19 ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0)), 200.76/30.19 inference(rectify,[],[f7])). 200.76/30.19 fof(f7,axiom,( 200.76/30.19 ! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2)), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity)). 200.76/30.19 fof(f11808,plain,( 200.76/30.19 ( ! [X3] : (star(X3) = addition(multiplication(X3,star(X3)),addition(one,star(X3)))) )), 200.76/30.19 inference(forward_demodulation,[],[f11682,f33])). 200.76/30.19 fof(f11682,plain,( 200.76/30.19 ( ! [X3] : (star(X3) = addition(multiplication(X3,star(X3)),addition(star(X3),one))) )), 200.76/30.19 inference(superposition,[],[f73,f759])). 200.76/30.19 fof(f759,plain,( 200.76/30.19 ( ! [X14,X12,X13] : (addition(X14,addition(X12,X13)) = addition(addition(X13,X14),X12)) )), 200.76/30.19 inference(superposition,[],[f124,f33])). 200.76/30.19 fof(f73,plain,( 200.76/30.19 ( ! [X0] : (star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0))) )), 200.76/30.19 inference(resolution,[],[f31,f35])). 200.76/30.19 fof(f31,plain,( 200.76/30.19 ( ! [X0] : (leq(addition(one,multiplication(X0,star(X0))),star(X0))) )), 200.76/30.19 inference(cnf_transformation,[],[f6])). 200.76/30.19 fof(f6,axiom,( 200.76/30.19 ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0))), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_right)). 200.76/30.19 fof(f14551,plain,( 200.76/30.19 ( ! [X171] : (addition(addition(one,star(X171)),multiplication(X171,star(X171))) = addition(star(X171),multiplication(X171,star(X171)))) )), 200.76/30.19 inference(forward_demodulation,[],[f14440,f33])). 200.76/30.19 fof(f14440,plain,( 200.76/30.19 ( ! [X171] : (addition(addition(one,star(X171)),multiplication(X171,star(X171))) = addition(multiplication(X171,star(X171)),star(X171))) )), 200.76/30.19 inference(superposition,[],[f756,f11808])). 200.76/30.19 fof(f756,plain,( 200.76/30.19 ( ! [X2,X3] : (addition(X3,X2) = addition(X2,addition(X2,X3))) )), 200.76/30.19 inference(superposition,[],[f124,f135])). 200.76/30.19 fof(f135,plain,( 200.76/30.19 ( ! [X2,X1] : (addition(X2,X1) = addition(X1,addition(X2,X1))) )), 200.76/30.19 inference(superposition,[],[f116,f33])). 200.76/30.19 fof(f116,plain,( 200.76/30.19 ( ! [X2,X3] : (addition(X2,X3) = addition(X2,addition(X2,X3))) )), 200.76/30.19 inference(superposition,[],[f36,f30])). 200.76/30.19 fof(f30,plain,( 200.76/30.19 ( ! [X0] : (addition(X0,X0) = X0) )), 200.76/30.19 inference(cnf_transformation,[],[f5])). 200.76/30.19 fof(f5,axiom,( 200.76/30.19 ! [X0] : addition(X0,X0) = X0), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence)). 200.76/30.19 fof(f33847,plain,( 200.76/30.19 ( ! [X2,X0,X1] : (leq(X1,addition(X2,multiplication(X1,star(X0))))) )), 200.76/30.19 inference(superposition,[],[f33368,f14558])). 200.76/30.19 fof(f14558,plain,( 200.76/30.19 ( ! [X1] : (star(X1) = addition(one,star(X1))) )), 200.76/30.19 inference(backward_demodulation,[],[f11680,f14552])). 200.76/30.19 fof(f11680,plain,( 200.76/30.19 ( ! [X1] : (star(X1) = addition(one,addition(star(X1),multiplication(X1,star(X1))))) )), 200.76/30.19 inference(superposition,[],[f73,f2528])). 200.76/30.19 fof(f2528,plain,( 200.76/30.19 ( ! [X24,X23,X22] : (addition(X23,addition(X22,X24)) = addition(addition(X23,X24),X22)) )), 200.76/30.19 inference(superposition,[],[f660,f33])). 200.76/30.19 fof(f660,plain,( 200.76/30.19 ( ! [X4,X5,X3] : (addition(X3,addition(X4,X5)) = addition(X4,addition(X3,X5))) )), 200.76/30.19 inference(superposition,[],[f117,f36])). 200.76/30.19 fof(f117,plain,( 200.76/30.19 ( ! [X6,X4,X5] : (addition(X4,addition(X5,X6)) = addition(addition(X5,X4),X6)) )), 200.76/30.19 inference(superposition,[],[f36,f33])). 200.76/30.19 fof(f33368,plain,( 200.76/30.19 ( ! [X47,X48,X46] : (leq(X46,addition(X48,multiplication(X46,addition(one,X47))))) )), 200.76/30.19 inference(superposition,[],[f172,f32537])). 200.76/30.19 fof(f32537,plain,( 200.76/30.19 ( ! [X2,X3] : (multiplication(X2,addition(one,X3)) = addition(X2,multiplication(X2,X3))) )), 200.76/30.19 inference(superposition,[],[f38,f28])). 200.76/30.19 fof(f28,plain,( 200.76/30.19 ( ! [X0] : (multiplication(X0,one) = X0) )), 200.76/30.19 inference(cnf_transformation,[],[f2])). 200.76/30.19 fof(f2,axiom,( 200.76/30.19 ! [X0] : multiplication(X0,one) = X0), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity)). 200.76/30.19 fof(f38,plain,( 200.76/30.19 ( ! [X2,X0,X1] : (addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2))) )), 200.76/30.19 inference(cnf_transformation,[],[f15])). 200.76/30.19 fof(f15,axiom,( 200.76/30.19 ! [X0,X1,X2] : addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2))), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity)). 200.76/30.19 fof(f172,plain,( 200.76/30.19 ( ! [X4,X2,X3] : (leq(X3,addition(X4,addition(X3,X2)))) )), 200.76/30.19 inference(superposition,[],[f169,f33])). 200.76/30.19 fof(f169,plain,( 200.76/30.19 ( ! [X10,X11,X9] : (leq(X11,addition(X9,addition(X10,X11)))) )), 200.76/30.19 inference(superposition,[],[f154,f36])). 200.76/30.19 fof(f154,plain,( 200.76/30.19 ( ! [X2,X1] : (leq(X1,addition(X2,X1))) )), 200.76/30.19 inference(superposition,[],[f147,f33])). 200.76/30.19 fof(f147,plain,( 200.76/30.19 ( ! [X6,X5] : (leq(X5,addition(X5,X6))) )), 200.76/30.19 inference(trivial_inequality_removal,[],[f145])). 200.76/30.19 fof(f145,plain,( 200.76/30.19 ( ! [X6,X5] : (addition(X5,X6) != addition(X5,X6) | leq(X5,addition(X5,X6))) )), 200.76/30.19 inference(superposition,[],[f34,f116])). 200.76/30.19 fof(f34,plain,( 200.76/30.19 ( ! [X0,X1] : (addition(X0,X1) != X1 | leq(X0,X1)) )), 200.76/30.19 inference(cnf_transformation,[],[f23])). 200.76/30.19 fof(f34309,plain,( 200.76/30.19 ( ! [X2,X3] : (leq(X3,addition(star(X3),X2))) )), 200.76/30.19 inference(superposition,[],[f33977,f33])). 200.76/30.19 fof(f33977,plain,( 200.76/30.19 ( ! [X99,X98] : (leq(X98,addition(X99,star(X98)))) )), 200.76/30.19 inference(superposition,[],[f172,f33913])). 200.76/30.19 fof(f300550,plain,( 200.76/30.19 ( ! [X0] : (addition(X0,star(star(X0))) = X0 | ~leq(star(X0),X0)) )), 200.76/30.19 inference(forward_demodulation,[],[f300547,f33])). 200.76/30.19 fof(f300547,plain,( 200.76/30.19 ( ! [X0] : (~leq(star(X0),X0) | addition(star(star(X0)),X0) = X0) )), 200.76/30.19 inference(resolution,[],[f296941,f35])). 200.76/30.19 fof(f296941,plain,( 200.76/30.19 ( ! [X19] : (leq(star(star(X19)),X19) | ~leq(star(X19),X19)) )), 200.76/30.19 inference(forward_demodulation,[],[f296884,f147513])). 200.76/30.19 fof(f296884,plain,( 200.76/30.19 ( ! [X19] : (~leq(star(X19),X19) | leq(multiplication(star(X19),star(star(X19))),X19)) )), 200.76/30.19 inference(superposition,[],[f40,f14388])). 200.76/30.19 fof(f14388,plain,( 200.76/30.19 ( ! [X62] : (star(X62) = addition(multiplication(X62,star(X62)),star(X62))) )), 200.76/30.19 inference(superposition,[],[f116,f11808])). 200.76/30.19 fof(f40,plain,( 200.76/30.19 ( ! [X2,X0,X1] : (~leq(addition(multiplication(X0,X1),X2),X0) | leq(multiplication(X2,star(X1)),X0)) )), 200.76/30.19 inference(cnf_transformation,[],[f21])). 200.76/30.19 fof(f21,plain,( 200.76/30.19 ! [X0,X1,X2] : (leq(multiplication(X2,star(X1)),X0) | ~leq(addition(multiplication(X0,X1),X2),X0))), 200.76/30.19 inference(ennf_transformation,[],[f10])). 200.76/30.19 fof(f10,axiom,( 200.76/30.19 ! [X0,X1,X2] : (leq(addition(multiplication(X0,X1),X2),X0) => leq(multiplication(X2,star(X1)),X0))), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction_right)). 200.76/30.19 fof(f310649,plain,( 200.76/30.19 ( ! [X98] : (leq(star(star(X98)),star(X98))) )), 200.76/30.19 inference(forward_demodulation,[],[f310648,f147513])). 200.76/30.19 fof(f310648,plain,( 200.76/30.19 ( ! [X98] : (leq(multiplication(star(X98),star(star(X98))),star(X98))) )), 200.76/30.19 inference(subsumption_resolution,[],[f309311,f61])). 200.76/30.19 fof(f61,plain,( 200.76/30.19 ( ! [X1] : (leq(X1,X1)) )), 200.76/30.19 inference(trivial_inequality_removal,[],[f56])). 200.76/30.19 fof(f56,plain,( 200.76/30.19 ( ! [X1] : (X1 != X1 | leq(X1,X1)) )), 200.76/30.19 inference(superposition,[],[f34,f30])). 200.76/30.19 fof(f309311,plain,( 200.76/30.19 ( ! [X98] : (~leq(star(X98),star(X98)) | leq(multiplication(star(X98),star(star(X98))),star(X98))) )), 200.76/30.19 inference(superposition,[],[f40,f296960])). 200.76/30.19 fof(f296960,plain,( 200.76/30.19 ( ! [X0] : (star(X0) = addition(multiplication(star(X0),star(X0)),star(X0))) )), 200.76/30.19 inference(resolution,[],[f296940,f35])). 200.76/30.19 fof(f296940,plain,( 200.76/30.19 ( ! [X18] : (leq(multiplication(star(X18),star(X18)),star(X18))) )), 200.76/30.19 inference(subsumption_resolution,[],[f296883,f61])). 200.76/30.19 fof(f296883,plain,( 200.76/30.19 ( ! [X18] : (~leq(star(X18),star(X18)) | leq(multiplication(star(X18),star(X18)),star(X18))) )), 200.76/30.19 inference(superposition,[],[f40,f14560])). 200.76/30.19 fof(f14560,plain,( 200.76/30.19 ( ! [X3] : (star(X3) = addition(multiplication(star(X3),X3),star(X3))) )), 200.76/30.19 inference(backward_demodulation,[],[f12070,f14558])). 200.76/30.19 fof(f12070,plain,( 200.76/30.19 ( ! [X3] : (star(X3) = addition(multiplication(star(X3),X3),addition(one,star(X3)))) )), 200.76/30.19 inference(forward_demodulation,[],[f11943,f33])). 200.76/30.19 fof(f11943,plain,( 200.76/30.19 ( ! [X3] : (star(X3) = addition(multiplication(star(X3),X3),addition(star(X3),one))) )), 200.76/30.19 inference(superposition,[],[f111,f759])). 200.76/30.19 fof(f111,plain,( 200.76/30.19 ( ! [X0] : (star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0))) )), 200.76/30.19 inference(resolution,[],[f32,f35])). 200.76/30.19 fof(f32,plain,( 200.76/30.19 ( ! [X0] : (leq(addition(one,multiplication(star(X0),X0)),star(X0))) )), 200.76/30.19 inference(cnf_transformation,[],[f14])). 200.76/30.19 fof(f14,axiom,( 200.76/30.19 ! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0))), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_left)). 200.76/30.19 fof(f33795,plain,( 200.76/30.19 ( ! [X0] : (star(star(X0)) = multiplication(star(star(X0)),star(X0))) )), 200.76/30.19 inference(superposition,[],[f33348,f14558])). 200.76/30.19 fof(f33348,plain,( 200.76/30.19 ( ! [X22] : (star(X22) = multiplication(star(X22),addition(one,X22))) )), 200.76/30.19 inference(superposition,[],[f32537,f15406])). 200.76/30.19 fof(f15406,plain,( 200.76/30.19 ( ! [X1] : (star(X1) = addition(star(X1),multiplication(star(X1),X1))) )), 200.76/30.19 inference(superposition,[],[f14560,f33])). 200.76/30.19 fof(f147513,plain,( 200.76/30.19 ( ! [X0] : (star(star(X0)) = multiplication(star(X0),star(star(X0)))) )), 200.76/30.19 inference(superposition,[],[f145814,f14558])). 200.76/30.19 fof(f145814,plain,( 200.76/30.19 ( ! [X27] : (star(X27) = multiplication(addition(one,X27),star(X27))) )), 200.76/30.19 inference(superposition,[],[f140472,f14552])). 200.76/30.19 fof(f140472,plain,( 200.76/30.19 ( ! [X17,X16] : (multiplication(addition(one,X17),X16) = addition(X16,multiplication(X17,X16))) )), 200.76/30.19 inference(superposition,[],[f39,f29])). 200.76/30.19 fof(f39,plain,( 200.76/30.19 ( ! [X2,X0,X1] : (addition(multiplication(X0,X2),multiplication(X1,X2)) = multiplication(addition(X0,X1),X2)) )), 200.76/30.19 inference(cnf_transformation,[],[f3])). 200.76/30.19 fof(f3,axiom,( 200.76/30.19 ! [X0,X1,X2] : addition(multiplication(X0,X2),multiplication(X1,X2)) = multiplication(addition(X0,X1),X2)), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity)). 200.76/30.19 fof(f83720,plain,( 200.76/30.19 ( ! [X0] : (star(star(X0)) = addition(multiplication(star(X0),multiplication(X0,X0)),star(star(X0)))) )), 200.76/30.19 inference(resolution,[],[f82989,f35])). 200.76/30.19 fof(f82989,plain,( 200.76/30.19 ( ! [X122] : (leq(multiplication(star(X122),multiplication(X122,X122)),star(star(X122)))) )), 200.76/30.19 inference(superposition,[],[f81231,f80226])). 200.76/30.19 fof(f80226,plain,( 200.76/30.19 ( ! [X1] : (star(X1) = addition(star(X1),multiplication(X1,X1))) )), 200.76/30.19 inference(superposition,[],[f80211,f33])). 200.76/30.19 fof(f80211,plain,( 200.76/30.19 ( ! [X0] : (star(X0) = addition(multiplication(X0,X0),star(X0))) )), 200.76/30.19 inference(resolution,[],[f80197,f35])). 200.76/30.19 fof(f80197,plain,( 200.76/30.19 ( ! [X55] : (leq(multiplication(X55,X55),star(X55))) )), 200.76/30.19 inference(superposition,[],[f80097,f14552])). 200.76/30.19 fof(f80097,plain,( 200.76/30.19 ( ! [X237,X235,X236] : (leq(multiplication(X236,X235),addition(X237,multiplication(X236,star(X235))))) )), 200.76/30.19 inference(superposition,[],[f32574,f34172])). 200.76/30.19 fof(f34172,plain,( 200.76/30.19 ( ! [X24] : (star(X24) = addition(star(X24),X24)) )), 200.76/30.19 inference(forward_demodulation,[],[f33938,f14558])). 200.76/30.19 fof(f33938,plain,( 200.76/30.19 ( ! [X24] : (addition(one,star(X24)) = addition(star(X24),X24)) )), 200.76/30.19 inference(superposition,[],[f14805,f33913])). 200.76/30.19 fof(f14805,plain,( 200.76/30.19 ( ! [X204,X205] : (addition(star(X204),X205) = addition(one,addition(X205,star(X204)))) )), 200.76/30.19 inference(superposition,[],[f2528,f14558])). 200.76/30.19 fof(f32574,plain,( 200.76/30.19 ( ! [X76,X74,X75,X73] : (leq(multiplication(X73,X75),addition(X76,multiplication(X73,addition(X74,X75))))) )), 200.76/30.19 inference(superposition,[],[f169,f38])). 200.76/30.19 fof(f81231,plain,( 200.76/30.19 ( ! [X292,X291] : (leq(multiplication(addition(X291,X292),X292),star(addition(X291,X292)))) )), 200.76/30.19 inference(superposition,[],[f32574,f80226])). 200.76/30.19 fof(f14374,plain,( 200.76/30.19 ( ! [X41,X42] : (leq(addition(X42,one),addition(X42,star(X41)))) )), 200.76/30.19 inference(superposition,[],[f812,f11808])). 200.76/30.19 fof(f812,plain,( 200.76/30.19 ( ! [X85,X83,X84,X82] : (leq(addition(X85,X82),addition(X85,addition(X84,addition(X82,X83))))) )), 200.76/30.19 inference(superposition,[],[f160,f124])). 200.76/30.19 fof(f160,plain,( 200.76/30.19 ( ! [X10,X11,X9] : (leq(addition(X9,X10),addition(X9,addition(X10,X11)))) )), 200.76/30.19 inference(superposition,[],[f147,f36])). 200.76/30.19 fof(f296887,plain,( 200.76/30.19 ( ! [X24,X23,X25] : (~leq(addition(X25,multiplication(X23,X24)),X23) | leq(multiplication(X25,star(X24)),X23)) )), 200.76/30.19 inference(superposition,[],[f40,f33])). 200.76/30.19 fof(f342142,plain,( 200.76/30.19 ( ! [X1217,X1218] : (leq(multiplication(X1217,multiplication(X1217,X1217)),addition(star(X1217),X1218))) )), 200.76/30.19 inference(forward_demodulation,[],[f341317,f314935])). 200.76/30.19 fof(f341317,plain,( 200.76/30.19 ( ! [X1217,X1218] : (leq(multiplication(X1217,multiplication(X1217,X1217)),addition(star(star(X1217)),X1218))) )), 200.76/30.19 inference(superposition,[],[f36519,f331419])). 200.76/30.19 fof(f331419,plain,( 200.76/30.19 ( ! [X0] : (star(X0) = addition(multiplication(X0,multiplication(X0,X0)),star(X0))) )), 200.76/30.19 inference(resolution,[],[f331405,f35])). 200.76/30.19 fof(f331405,plain,( 200.76/30.19 ( ! [X0] : (leq(multiplication(X0,multiplication(X0,X0)),star(X0))) )), 200.76/30.19 inference(superposition,[],[f143688,f309222])). 200.76/30.19 fof(f309222,plain,( 200.76/30.19 ( ! [X1] : (star(X1) = multiplication(star(X1),star(X1))) )), 200.76/30.19 inference(superposition,[],[f296960,f85922])). 200.76/30.19 fof(f85922,plain,( 200.76/30.19 ( ! [X208,X209] : (multiplication(X208,star(X209)) = addition(multiplication(X208,star(X209)),X208)) )), 200.76/30.19 inference(forward_demodulation,[],[f85278,f47])). 200.76/30.19 fof(f85278,plain,( 200.76/30.19 ( ! [X208,X209] : (addition(multiplication(X208,star(X209)),X208) = addition(zero,multiplication(X208,star(X209)))) )), 200.76/30.19 inference(superposition,[],[f772,f32846])). 200.76/30.19 fof(f32846,plain,( 200.76/30.19 ( ! [X0,X1] : (multiplication(X0,star(X1)) = addition(X0,multiplication(X0,star(X1)))) )), 200.76/30.19 inference(resolution,[],[f32838,f35])). 200.76/30.19 fof(f32838,plain,( 200.76/30.19 ( ! [X72,X71] : (leq(X72,multiplication(X72,star(X71)))) )), 200.76/30.19 inference(forward_demodulation,[],[f32794,f28])). 200.76/30.19 fof(f32794,plain,( 200.76/30.19 ( ! [X72,X71] : (leq(multiplication(X72,one),multiplication(X72,star(X71)))) )), 200.76/30.19 inference(superposition,[],[f32570,f14558])). 200.76/30.19 fof(f32570,plain,( 200.76/30.19 ( ! [X61,X59,X60] : (leq(multiplication(X59,X60),multiplication(X59,addition(X60,X61)))) )), 200.76/30.19 inference(superposition,[],[f147,f38])). 200.76/30.19 fof(f143688,plain,( 200.76/30.19 ( ! [X237,X238] : (leq(multiplication(X237,multiplication(X237,X238)),multiplication(star(X237),star(X238)))) )), 200.76/30.19 inference(forward_demodulation,[],[f143651,f37])). 200.76/30.19 fof(f143651,plain,( 200.76/30.19 ( ! [X237,X238] : (leq(multiplication(multiplication(X237,X237),X238),multiplication(star(X237),star(X238)))) )), 200.76/30.19 inference(superposition,[],[f140597,f80226])). 200.76/30.19 fof(f140597,plain,( 200.76/30.19 ( ! [X315,X316,X317] : (leq(multiplication(X317,X316),multiplication(addition(X315,X317),star(X316)))) )), 200.76/30.19 inference(superposition,[],[f80097,f39])). 200.76/30.19 fof(f36519,plain,( 200.76/30.19 ( ! [X6,X4,X5] : (leq(X5,addition(star(addition(X5,X6)),X4))) )), 200.76/30.19 inference(superposition,[],[f34600,f33])). 200.76/30.19 fof(f34600,plain,( 200.76/30.19 ( ! [X447,X449,X448] : (leq(X447,addition(X449,star(addition(X447,X448))))) )), 200.76/30.19 inference(superposition,[],[f201,f34172])). 200.76/30.19 fof(f201,plain,( 200.76/30.19 ( ! [X14,X12,X15,X13] : (leq(X14,addition(X12,addition(X13,addition(X14,X15))))) )), 200.76/30.19 inference(superposition,[],[f172,f36])). 200.76/30.19 fof(f45,plain,( 200.76/30.19 ~leq(multiplication(a,multiplication(a,multiplication(a,multiplication(a,multiplication(a,a))))),star(a)) | spl0_1), 200.76/30.19 inference(avatar_component_clause,[],[f43])). 200.76/30.19 fof(f43,plain,( 200.76/30.19 spl0_1 <=> leq(multiplication(a,multiplication(a,multiplication(a,multiplication(a,multiplication(a,a))))),star(a))), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 200.76/30.19 fof(f835923,plain,( 200.76/30.19 ~spl0_28 | spl0_14), 200.76/30.19 inference(avatar_split_clause,[],[f835922,f2127,f835911])). 200.76/30.19 fof(f835911,plain,( 200.76/30.19 spl0_28 <=> zero = multiplication(one,one)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_28])])). 200.76/30.19 fof(f2127,plain,( 200.76/30.19 spl0_14 <=> zero = star(one)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])). 200.76/30.19 fof(f835922,plain,( 200.76/30.19 zero != multiplication(one,one) | spl0_14), 200.76/30.19 inference(forward_demodulation,[],[f835921,f30])). 200.76/30.19 fof(f835921,plain,( 200.76/30.19 zero != multiplication(addition(one,one),one) | spl0_14), 200.76/30.19 inference(subsumption_resolution,[],[f835906,f2129])). 200.76/30.19 fof(f2129,plain,( 200.76/30.19 zero != star(one) | spl0_14), 200.76/30.19 inference(avatar_component_clause,[],[f2127])). 200.76/30.19 fof(f835906,plain,( 200.76/30.19 zero != multiplication(addition(one,one),one) | zero = star(one)), 200.76/30.19 inference(superposition,[],[f835817,f140472])). 200.76/30.19 fof(f835817,plain,( 200.76/30.19 ( ! [X0] : (zero != addition(one,multiplication(X0,X0)) | zero = star(X0)) )), 200.76/30.19 inference(resolution,[],[f834732,f312039])). 200.76/30.19 fof(f312039,plain,( 200.76/30.19 ( ! [X1] : (~leq(star(X1),zero) | zero = star(X1)) )), 200.76/30.19 inference(backward_demodulation,[],[f300783,f311258])). 200.76/30.19 fof(f300783,plain,( 200.76/30.19 ( ! [X1] : (~leq(star(X1),zero) | zero = star(star(star(X1)))) )), 200.76/30.19 inference(resolution,[],[f300734,f300465])). 200.76/30.19 fof(f300465,plain,( 200.76/30.19 ( ! [X16] : (leq(star(star(X16)),zero) | ~leq(star(X16),zero)) )), 200.76/30.19 inference(superposition,[],[f296933,f147513])). 200.76/30.19 fof(f296933,plain,( 200.76/30.19 ( ! [X10,X11] : (leq(multiplication(X11,star(X10)),zero) | ~leq(X11,zero)) )), 200.76/30.19 inference(forward_demodulation,[],[f296856,f47])). 200.76/30.19 fof(f296856,plain,( 200.76/30.19 ( ! [X10,X11] : (~leq(addition(zero,X11),zero) | leq(multiplication(X11,star(X10)),zero)) )), 200.76/30.19 inference(superposition,[],[f40,f26])). 200.76/30.19 fof(f26,plain,( 200.76/30.19 ( ! [X0] : (zero = multiplication(zero,X0)) )), 200.76/30.19 inference(cnf_transformation,[],[f4])). 200.76/30.19 fof(f4,axiom,( 200.76/30.19 ! [X0] : zero = multiplication(zero,X0)), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation)). 200.76/30.19 fof(f300734,plain,( 200.76/30.19 ( ! [X2] : (~leq(star(X2),zero) | zero = star(star(X2))) )), 200.76/30.19 inference(forward_demodulation,[],[f300732,f27])). 200.76/30.19 fof(f300732,plain,( 200.76/30.19 ( ! [X2] : (~leq(star(X2),zero) | zero = addition(star(star(X2)),zero)) )), 200.76/30.19 inference(resolution,[],[f300465,f35])). 200.76/30.19 fof(f834732,plain,( 200.76/30.19 ( ! [X768] : (leq(star(X768),zero) | zero != addition(one,multiplication(X768,X768))) )), 200.76/30.19 inference(superposition,[],[f558166,f829969])). 200.76/30.19 fof(f829969,plain,( 200.76/30.19 ( ! [X1] : (star(X1) = multiplication(star(X1),addition(one,multiplication(X1,X1)))) )), 200.76/30.19 inference(superposition,[],[f315328,f33595])). 200.76/30.19 fof(f33595,plain,( 200.76/30.19 ( ! [X178,X179] : (multiplication(X178,addition(one,X179)) = addition(multiplication(X178,X179),X178)) )), 200.76/30.19 inference(forward_demodulation,[],[f33409,f32850])). 200.76/30.19 fof(f32850,plain,( 200.76/30.19 ( ! [X0,X1] : (multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,addition(one,X1)))) )), 200.76/30.19 inference(resolution,[],[f32768,f35])). 200.76/30.19 fof(f32768,plain,( 200.76/30.19 ( ! [X2,X3] : (leq(X2,multiplication(X2,addition(one,X3)))) )), 200.76/30.19 inference(superposition,[],[f32570,f28])). 200.76/30.19 fof(f33409,plain,( 200.76/30.19 ( ! [X178,X179] : (addition(multiplication(X178,X179),X178) = addition(X178,multiplication(X178,addition(one,X179)))) )), 200.76/30.19 inference(superposition,[],[f756,f32537])). 200.76/30.19 fof(f558166,plain,( 200.76/30.19 ( ! [X24,X23] : (leq(multiplication(star(X23),X24),zero) | zero != X24) )), 200.76/30.19 inference(forward_demodulation,[],[f558165,f27])). 200.76/30.19 fof(f558165,plain,( 200.76/30.19 ( ! [X24,X23] : (zero != addition(X24,zero) | leq(multiplication(star(X23),X24),zero)) )), 200.76/30.19 inference(forward_demodulation,[],[f558084,f25])). 200.76/30.19 fof(f25,plain,( 200.76/30.19 ( ! [X0] : (zero = multiplication(X0,zero)) )), 200.76/30.19 inference(cnf_transformation,[],[f1])). 200.76/30.19 fof(f1,axiom,( 200.76/30.19 ! [X0] : zero = multiplication(X0,zero)), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation)). 200.76/30.19 fof(f558084,plain,( 200.76/30.19 ( ! [X24,X23] : (leq(multiplication(star(X23),X24),zero) | zero != addition(X24,multiplication(X23,zero))) )), 200.76/30.19 inference(resolution,[],[f41,f979])). 200.76/30.19 fof(f979,plain,( 200.76/30.19 ( ! [X45,X46] : (leq(addition(X45,X46),zero) | zero != addition(X46,X45)) )), 200.76/30.19 inference(superposition,[],[f57,f772])). 200.76/30.19 fof(f57,plain,( 200.76/30.19 ( ! [X2,X3] : (addition(X3,X2) != X3 | leq(X2,X3)) )), 200.76/30.19 inference(superposition,[],[f34,f33])). 200.76/30.19 fof(f41,plain,( 200.76/30.19 ( ! [X2,X0,X1] : (~leq(addition(multiplication(X0,X1),X2),X1) | leq(multiplication(star(X0),X2),X1)) )), 200.76/30.19 inference(cnf_transformation,[],[f22])). 200.76/30.19 fof(f22,plain,( 200.76/30.19 ! [X0,X1,X2] : (leq(multiplication(star(X0),X2),X1) | ~leq(addition(multiplication(X0,X1),X2),X1))), 200.76/30.19 inference(ennf_transformation,[],[f13])). 200.76/30.19 fof(f13,axiom,( 200.76/30.19 ! [X0,X1,X2] : (leq(addition(multiplication(X0,X1),X2),X1) => leq(multiplication(star(X0),X2),X1))), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction_left)). 200.76/30.19 fof(f835920,plain,( 200.76/30.19 ~spl0_28 | spl0_14), 200.76/30.19 inference(avatar_split_clause,[],[f835919,f2127,f835911])). 200.76/30.19 fof(f835919,plain,( 200.76/30.19 zero != multiplication(one,one) | spl0_14), 200.76/30.19 inference(forward_demodulation,[],[f835918,f30])). 200.76/30.19 fof(f835918,plain,( 200.76/30.19 zero != multiplication(addition(one,one),one) | spl0_14), 200.76/30.19 inference(subsumption_resolution,[],[f835905,f2129])). 200.76/30.19 fof(f835905,plain,( 200.76/30.19 zero != multiplication(addition(one,one),one) | zero = star(one)), 200.76/30.19 inference(superposition,[],[f835817,f160328])). 200.76/30.19 fof(f160328,plain,( 200.76/30.19 ( ! [X8,X9] : (multiplication(addition(X8,one),X9) = addition(X9,multiplication(X8,X9))) )), 200.76/30.19 inference(superposition,[],[f140484,f33])). 200.76/30.19 fof(f140484,plain,( 200.76/30.19 ( ! [X17,X16] : (multiplication(addition(X17,one),X16) = addition(multiplication(X17,X16),X16)) )), 200.76/30.19 inference(superposition,[],[f39,f29])). 200.76/30.19 fof(f835917,plain,( 200.76/30.19 ~spl0_28 | spl0_14), 200.76/30.19 inference(avatar_split_clause,[],[f835916,f2127,f835911])). 200.76/30.19 fof(f835916,plain,( 200.76/30.19 zero != multiplication(one,one) | spl0_14), 200.76/30.19 inference(forward_demodulation,[],[f835915,f30])). 200.76/30.19 fof(f835915,plain,( 200.76/30.19 zero != multiplication(one,addition(one,one)) | spl0_14), 200.76/30.19 inference(subsumption_resolution,[],[f835904,f2129])). 200.76/30.19 fof(f835904,plain,( 200.76/30.19 zero != multiplication(one,addition(one,one)) | zero = star(one)), 200.76/30.19 inference(superposition,[],[f835817,f32537])). 200.76/30.19 fof(f835914,plain,( 200.76/30.19 ~spl0_28 | spl0_14), 200.76/30.19 inference(avatar_split_clause,[],[f835909,f2127,f835911])). 200.76/30.19 fof(f835909,plain,( 200.76/30.19 zero != multiplication(one,one) | spl0_14), 200.76/30.19 inference(forward_demodulation,[],[f835908,f30])). 200.76/30.19 fof(f835908,plain,( 200.76/30.19 zero != multiplication(one,addition(one,one)) | spl0_14), 200.76/30.19 inference(subsumption_resolution,[],[f835903,f2129])). 200.76/30.19 fof(f835903,plain,( 200.76/30.19 zero != multiplication(one,addition(one,one)) | zero = star(one)), 200.76/30.19 inference(superposition,[],[f835817,f71154])). 200.76/30.19 fof(f71154,plain,( 200.76/30.19 ( ! [X4,X3] : (multiplication(X3,addition(X4,one)) = addition(X3,multiplication(X3,X4))) )), 200.76/30.19 inference(superposition,[],[f32542,f33])). 200.76/30.19 fof(f32542,plain,( 200.76/30.19 ( ! [X2,X3] : (multiplication(X2,addition(X3,one)) = addition(multiplication(X2,X3),X2)) )), 200.76/30.19 inference(superposition,[],[f38,f28])). 200.76/30.19 fof(f835848,plain,( 200.76/30.19 ~spl0_27 | spl0_26), 200.76/30.19 inference(avatar_split_clause,[],[f835842,f835832,f835844])). 200.76/30.19 fof(f835844,plain,( 200.76/30.19 spl0_27 <=> zero = addition(zero,one)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_27])])). 200.76/30.19 fof(f835832,plain,( 200.76/30.19 spl0_26 <=> zero = addition(one,zero)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_26])])). 200.76/30.19 fof(f835842,plain,( 200.76/30.19 zero != addition(zero,one) | spl0_26), 200.76/30.19 inference(superposition,[],[f835834,f33])). 200.76/30.19 fof(f835834,plain,( 200.76/30.19 zero != addition(one,zero) | spl0_26), 200.76/30.19 inference(avatar_component_clause,[],[f835832])). 200.76/30.19 fof(f835847,plain,( 200.76/30.19 ~spl0_27 | spl0_26), 200.76/30.19 inference(avatar_split_clause,[],[f835841,f835832,f835844])). 200.76/30.19 fof(f835841,plain,( 200.76/30.19 zero != addition(zero,one) | spl0_26), 200.76/30.19 inference(superposition,[],[f835834,f33])). 200.76/30.19 fof(f835835,plain,( 200.76/30.19 ~spl0_26 | ~spl0_7 | spl0_20), 200.76/30.19 inference(avatar_split_clause,[],[f835830,f300469,f107,f835832])). 200.76/30.19 fof(f107,plain,( 200.76/30.19 spl0_7 <=> one = star(zero)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])). 200.76/30.19 fof(f300469,plain,( 200.76/30.19 spl0_20 <=> leq(one,zero)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_20])])). 200.76/30.19 fof(f835830,plain,( 200.76/30.19 zero != addition(one,zero) | (~spl0_7 | spl0_20)), 200.76/30.19 inference(forward_demodulation,[],[f835829,f25])). 200.76/30.19 fof(f835829,plain,( 200.76/30.19 zero != addition(one,multiplication(zero,zero)) | (~spl0_7 | spl0_20)), 200.76/30.19 inference(subsumption_resolution,[],[f835825,f300471])). 200.76/30.19 fof(f300471,plain,( 200.76/30.19 ~leq(one,zero) | spl0_20), 200.76/30.19 inference(avatar_component_clause,[],[f300469])). 200.76/30.19 fof(f835825,plain,( 200.76/30.19 leq(one,zero) | zero != addition(one,multiplication(zero,zero)) | ~spl0_7), 200.76/30.19 inference(superposition,[],[f834732,f108])). 200.76/30.19 fof(f108,plain,( 200.76/30.19 one = star(zero) | ~spl0_7), 200.76/30.19 inference(avatar_component_clause,[],[f107])). 200.76/30.19 fof(f301095,plain,( 200.76/30.19 ~spl0_25 | ~spl0_16 | spl0_18), 200.76/30.19 inference(avatar_split_clause,[],[f300991,f2277,f2182,f301091])). 200.76/30.19 fof(f301091,plain,( 200.76/30.19 spl0_25 <=> zero = addition(one,one)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_25])])). 200.76/30.19 fof(f2182,plain,( 200.76/30.19 spl0_16 <=> one = star(one)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])). 200.76/30.19 fof(f2277,plain,( 200.76/30.19 spl0_18 <=> zero = addition(star(one),one)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])). 200.76/30.19 fof(f300991,plain,( 200.76/30.19 zero != addition(one,one) | (~spl0_16 | spl0_18)), 200.76/30.19 inference(backward_demodulation,[],[f2279,f2183])). 200.76/30.19 fof(f2183,plain,( 200.76/30.19 one = star(one) | ~spl0_16), 200.76/30.19 inference(avatar_component_clause,[],[f2182])). 200.76/30.19 fof(f2279,plain,( 200.76/30.19 zero != addition(star(one),one) | spl0_18), 200.76/30.19 inference(avatar_component_clause,[],[f2277])). 200.76/30.19 fof(f301094,plain,( 200.76/30.19 ~spl0_25 | spl0_13 | ~spl0_16), 200.76/30.19 inference(avatar_split_clause,[],[f300989,f2182,f2107,f301091])). 200.76/30.19 fof(f2107,plain,( 200.76/30.19 spl0_13 <=> zero = addition(one,star(one))), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])). 200.76/30.19 fof(f300989,plain,( 200.76/30.19 zero != addition(one,one) | (spl0_13 | ~spl0_16)), 200.76/30.19 inference(backward_demodulation,[],[f2109,f2183])). 200.76/30.19 fof(f2109,plain,( 200.76/30.19 zero != addition(one,star(one)) | spl0_13), 200.76/30.19 inference(avatar_component_clause,[],[f2107])). 200.76/30.19 fof(f300987,plain,( 200.76/30.19 spl0_24 | ~spl0_15), 200.76/30.19 inference(avatar_split_clause,[],[f300977,f2178,f300984])). 200.76/30.19 fof(f300984,plain,( 200.76/30.19 spl0_24 <=> one = addition(star(one),one)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])). 200.76/30.19 fof(f2178,plain,( 200.76/30.19 spl0_15 <=> leq(star(one),one)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])). 200.76/30.19 fof(f300977,plain,( 200.76/30.19 one = addition(star(one),one) | ~spl0_15), 200.76/30.19 inference(resolution,[],[f2180,f35])). 200.76/30.19 fof(f2180,plain,( 200.76/30.19 leq(star(one),one) | ~spl0_15), 200.76/30.19 inference(avatar_component_clause,[],[f2178])). 200.76/30.19 fof(f300982,plain,( 200.76/30.19 spl0_23 | ~spl0_15), 200.76/30.19 inference(avatar_split_clause,[],[f300976,f2178,f300979])). 200.76/30.19 fof(f300979,plain,( 200.76/30.19 spl0_23 <=> one = star(star(one))), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_23])])). 200.76/30.19 fof(f300976,plain,( 200.76/30.19 one = star(star(one)) | ~spl0_15), 200.76/30.19 inference(resolution,[],[f2180,f300551])). 200.76/30.19 fof(f300975,plain,( 200.76/30.19 spl0_15 | ~spl0_7), 200.76/30.19 inference(avatar_split_clause,[],[f300972,f107,f2178])). 200.76/30.19 fof(f300972,plain,( 200.76/30.19 leq(star(one),one) | ~spl0_7), 200.76/30.19 inference(superposition,[],[f300961,f108])). 200.76/30.19 fof(f300961,plain,( 200.76/30.19 ( ! [X174] : (leq(star(one),star(X174))) )), 200.76/30.19 inference(forward_demodulation,[],[f300960,f29])). 200.76/30.19 fof(f300960,plain,( 200.76/30.19 ( ! [X174] : (leq(multiplication(one,star(one)),star(X174))) )), 200.76/30.19 inference(subsumption_resolution,[],[f300901,f61])). 200.76/30.19 fof(f300901,plain,( 200.76/30.19 ( ! [X174] : (~leq(star(X174),star(X174)) | leq(multiplication(one,star(one)),star(X174))) )), 200.76/30.19 inference(superposition,[],[f296853,f14842])). 200.76/30.19 fof(f14842,plain,( 200.76/30.19 ( ! [X160] : (star(X160) = addition(star(X160),one)) )), 200.76/30.19 inference(forward_demodulation,[],[f14783,f47])). 200.76/30.19 fof(f14783,plain,( 200.76/30.19 ( ! [X160] : (addition(star(X160),one) = addition(zero,star(X160))) )), 200.76/30.19 inference(superposition,[],[f772,f14558])). 200.76/30.19 fof(f296853,plain,( 200.76/30.19 ( ! [X2,X3] : (~leq(addition(X2,X3),X2) | leq(multiplication(X3,star(one)),X2)) )), 200.76/30.19 inference(superposition,[],[f40,f28])). 200.76/30.19 fof(f300974,plain,( 200.76/30.19 ~spl0_7 | spl0_15), 200.76/30.19 inference(avatar_contradiction_clause,[],[f300973])). 200.76/30.19 fof(f300973,plain,( 200.76/30.19 $false | (~spl0_7 | spl0_15)), 200.76/30.19 inference(subsumption_resolution,[],[f300972,f2179])). 200.76/30.19 fof(f2179,plain,( 200.76/30.19 ~leq(star(one),one) | spl0_15), 200.76/30.19 inference(avatar_component_clause,[],[f2178])). 200.76/30.19 fof(f300493,plain,( 200.76/30.19 ~spl0_22 | spl0_20), 200.76/30.19 inference(avatar_split_clause,[],[f300488,f300469,f300490])). 200.76/30.19 fof(f300490,plain,( 200.76/30.19 spl0_22 <=> zero = one), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_22])])). 200.76/30.19 fof(f300488,plain,( 200.76/30.19 zero != one | spl0_20), 200.76/30.19 inference(resolution,[],[f300471,f55])). 200.76/30.19 fof(f55,plain,( 200.76/30.19 ( ! [X0] : (leq(X0,zero) | zero != X0) )), 200.76/30.19 inference(superposition,[],[f34,f27])). 200.76/30.19 fof(f300475,plain,( 200.76/30.19 ~spl0_20 | spl0_21), 200.76/30.19 inference(avatar_split_clause,[],[f300455,f300473,f300469])). 200.76/30.19 fof(f300473,plain,( 200.76/30.19 spl0_21 <=> ! [X4] : leq(star(X4),zero)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_21])])). 200.76/30.19 fof(f300455,plain,( 200.76/30.19 ( ! [X4] : (leq(star(X4),zero) | ~leq(one,zero)) )), 200.76/30.19 inference(superposition,[],[f296933,f29])). 200.76/30.19 fof(f296997,plain,( 200.76/30.19 spl0_19 | ~spl0_6), 200.76/30.19 inference(avatar_split_clause,[],[f296992,f103,f296994])). 200.76/30.19 fof(f296994,plain,( 200.76/30.19 spl0_19 <=> one = addition(star(zero),one)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])). 200.76/30.19 fof(f103,plain,( 200.76/30.19 spl0_6 <=> leq(star(zero),one)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 200.76/30.19 fof(f296992,plain,( 200.76/30.19 one = addition(star(zero),one) | ~spl0_6), 200.76/30.19 inference(resolution,[],[f105,f35])). 200.76/30.19 fof(f105,plain,( 200.76/30.19 leq(star(zero),one) | ~spl0_6), 200.76/30.19 inference(avatar_component_clause,[],[f103])). 200.76/30.19 fof(f296991,plain,( 200.76/30.19 spl0_6), 200.76/30.19 inference(avatar_contradiction_clause,[],[f296990])). 200.76/30.19 fof(f296990,plain,( 200.76/30.19 $false | spl0_6), 200.76/30.19 inference(subsumption_resolution,[],[f296988,f61])). 200.76/30.19 fof(f296988,plain,( 200.76/30.19 ~leq(one,one) | spl0_6), 200.76/30.19 inference(resolution,[],[f296964,f104])). 200.76/30.19 fof(f104,plain,( 200.76/30.19 ~leq(star(zero),one) | spl0_6), 200.76/30.19 inference(avatar_component_clause,[],[f103])). 200.76/30.19 fof(f296964,plain,( 200.76/30.19 ( ! [X4] : (leq(star(zero),X4) | ~leq(one,X4)) )), 200.76/30.19 inference(superposition,[],[f296932,f29])). 200.76/30.19 fof(f296932,plain,( 200.76/30.19 ( ! [X0,X1] : (leq(multiplication(X1,star(zero)),X0) | ~leq(X1,X0)) )), 200.76/30.19 inference(forward_demodulation,[],[f296852,f47])). 200.76/30.19 fof(f296852,plain,( 200.76/30.19 ( ! [X0,X1] : (~leq(addition(zero,X1),X0) | leq(multiplication(X1,star(zero)),X0)) )), 200.76/30.19 inference(superposition,[],[f40,f25])). 200.76/30.19 fof(f2280,plain,( 200.76/30.19 ~spl0_18 | ~spl0_10 | spl0_12), 200.76/30.19 inference(avatar_split_clause,[],[f2275,f2103,f2070,f2277])). 200.76/30.19 fof(f2070,plain,( 200.76/30.19 spl0_10 <=> star(one) = addition(one,star(one))), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 200.76/30.19 fof(f2103,plain,( 200.76/30.19 spl0_12 <=> leq(star(one),zero)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])). 200.76/30.19 fof(f2275,plain,( 200.76/30.19 zero != addition(star(one),one) | (~spl0_10 | spl0_12)), 200.76/30.19 inference(subsumption_resolution,[],[f2260,f2104])). 200.76/30.19 fof(f2104,plain,( 200.76/30.19 ~leq(star(one),zero) | spl0_12), 200.76/30.19 inference(avatar_component_clause,[],[f2103])). 200.76/30.19 fof(f2260,plain,( 200.76/30.19 leq(star(one),zero) | zero != addition(star(one),one) | ~spl0_10), 200.76/30.19 inference(superposition,[],[f979,f2072])). 200.76/30.19 fof(f2072,plain,( 200.76/30.19 star(one) = addition(one,star(one)) | ~spl0_10), 200.76/30.19 inference(avatar_component_clause,[],[f2070])). 200.76/30.19 fof(f2194,plain,( 200.76/30.19 ~spl0_16 | spl0_15 | ~spl0_9), 200.76/30.19 inference(avatar_split_clause,[],[f2154,f2065,f2178,f2182])). 200.76/30.19 fof(f2065,plain,( 200.76/30.19 spl0_9 <=> star(one) = addition(star(one),one)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])). 200.76/30.19 fof(f2154,plain,( 200.76/30.19 leq(star(one),one) | one != star(one) | ~spl0_9), 200.76/30.19 inference(superposition,[],[f232,f2067])). 200.76/30.19 fof(f2067,plain,( 200.76/30.19 star(one) = addition(star(one),one) | ~spl0_9), 200.76/30.19 inference(avatar_component_clause,[],[f2065])). 200.76/30.19 fof(f232,plain,( 200.76/30.19 ( ! [X14,X15] : (leq(addition(X15,X14),X14) | addition(X15,X14) != X14) )), 200.76/30.19 inference(superposition,[],[f57,f135])). 200.76/30.19 fof(f2193,plain,( 200.76/30.19 spl0_17 | ~spl0_9), 200.76/30.19 inference(avatar_split_clause,[],[f2147,f2065,f2187])). 200.76/30.19 fof(f2187,plain,( 200.76/30.19 spl0_17 <=> leq(one,star(one))), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])). 200.76/30.19 fof(f2147,plain,( 200.76/30.19 leq(one,star(one)) | ~spl0_9), 200.76/30.19 inference(superposition,[],[f154,f2067])). 200.76/30.19 fof(f2190,plain,( 200.76/30.19 spl0_17 | ~spl0_9), 200.76/30.19 inference(avatar_split_clause,[],[f2176,f2065,f2187])). 200.76/30.19 fof(f2176,plain,( 200.76/30.19 leq(one,star(one)) | ~spl0_9), 200.76/30.19 inference(trivial_inequality_removal,[],[f2139])). 200.76/30.19 fof(f2139,plain,( 200.76/30.19 star(one) != star(one) | leq(one,star(one)) | ~spl0_9), 200.76/30.19 inference(superposition,[],[f57,f2067])). 200.76/30.19 fof(f2185,plain,( 200.76/30.19 spl0_15 | ~spl0_16 | ~spl0_9), 200.76/30.19 inference(avatar_split_clause,[],[f2137,f2065,f2182,f2178])). 200.76/30.19 fof(f2137,plain,( 200.76/30.19 one != star(one) | leq(star(one),one) | ~spl0_9), 200.76/30.19 inference(superposition,[],[f34,f2067])). 200.76/30.19 fof(f2130,plain,( 200.76/30.19 ~spl0_14 | spl0_12), 200.76/30.19 inference(avatar_split_clause,[],[f2125,f2103,f2127])). 200.76/30.19 fof(f2125,plain,( 200.76/30.19 zero != star(one) | spl0_12), 200.76/30.19 inference(resolution,[],[f2104,f55])). 200.76/30.19 fof(f2115,plain,( 200.76/30.19 spl0_11 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2114,f95,f2075])). 200.76/30.19 fof(f2075,plain,( 200.76/30.19 spl0_11 <=> star(one) = addition(star(one),addition(one,star(one)))), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])). 200.76/30.19 fof(f95,plain,( 200.76/30.19 spl0_5 <=> star(one) = addition(addition(one,star(one)),star(one))), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 200.76/30.19 fof(f2114,plain,( 200.76/30.19 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 200.76/30.19 inference(forward_demodulation,[],[f2060,f30])). 200.76/30.19 fof(f2060,plain,( 200.76/30.19 addition(star(one),addition(one,star(one))) = addition(star(one),star(one)) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f1163,f97])). 200.76/30.19 fof(f97,plain,( 200.76/30.19 star(one) = addition(addition(one,star(one)),star(one)) | ~spl0_5), 200.76/30.19 inference(avatar_component_clause,[],[f95])). 200.76/30.19 fof(f1163,plain,( 200.76/30.19 ( ! [X8,X9] : (addition(X8,X9) = addition(addition(X9,X8),X8)) )), 200.76/30.19 inference(forward_demodulation,[],[f1093,f279])). 200.76/30.19 fof(f279,plain,( 200.76/30.19 ( ! [X0,X1] : (addition(X1,X0) = addition(addition(X0,X1),addition(X1,X0))) )), 200.76/30.19 inference(resolution,[],[f264,f35])). 200.76/30.19 fof(f264,plain,( 200.76/30.19 ( ! [X2,X3] : (leq(addition(X2,X3),addition(X3,X2))) )), 200.76/30.19 inference(superposition,[],[f160,f135])). 200.76/30.19 fof(f1093,plain,( 200.76/30.19 ( ! [X8,X9] : (addition(addition(X9,X8),X8) = addition(addition(X9,X8),addition(X8,X9))) )), 200.76/30.19 inference(superposition,[],[f776,f776])). 200.76/30.19 fof(f776,plain,( 200.76/30.19 ( ! [X0,X1] : (addition(X0,X1) = addition(X0,addition(X1,X0))) )), 200.76/30.19 inference(superposition,[],[f124,f116])). 200.76/30.19 fof(f2113,plain,( 200.76/30.19 spl0_11 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2112,f95,f2075])). 200.76/30.19 fof(f2112,plain,( 200.76/30.19 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 200.76/30.19 inference(forward_demodulation,[],[f2058,f27])). 200.76/30.19 fof(f2058,plain,( 200.76/30.19 addition(star(one),addition(one,star(one))) = addition(star(one),zero) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f1009,f97])). 200.76/30.19 fof(f1009,plain,( 200.76/30.19 ( ! [X17,X18] : (addition(X18,X17) = addition(addition(X17,X18),zero)) )), 200.76/30.19 inference(forward_demodulation,[],[f950,f47])). 200.76/30.19 fof(f950,plain,( 200.76/30.19 ( ! [X17,X18] : (addition(addition(X17,X18),zero) = addition(zero,addition(X18,X17))) )), 200.76/30.19 inference(superposition,[],[f772,f772])). 200.76/30.19 fof(f2111,plain,( 200.76/30.19 spl0_11 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2056,f95,f2075])). 200.76/30.19 fof(f2056,plain,( 200.76/30.19 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f1005,f97])). 200.76/30.19 fof(f1005,plain,( 200.76/30.19 ( ! [X6,X7] : (addition(X6,X7) = addition(addition(X6,X7),X6)) )), 200.76/30.19 inference(forward_demodulation,[],[f945,f47])). 200.76/30.19 fof(f945,plain,( 200.76/30.19 ( ! [X6,X7] : (addition(addition(X6,X7),X6) = addition(zero,addition(X6,X7))) )), 200.76/30.19 inference(superposition,[],[f772,f116])). 200.76/30.19 fof(f2110,plain,( 200.76/30.19 spl0_12 | ~spl0_13 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2101,f95,f2107,f2103])). 200.76/30.19 fof(f2101,plain,( 200.76/30.19 zero != addition(one,star(one)) | leq(star(one),zero) | ~spl0_5), 200.76/30.19 inference(forward_demodulation,[],[f2100,f30])). 200.76/30.19 fof(f2100,plain,( 200.76/30.19 zero != addition(one,addition(star(one),star(one))) | leq(star(one),zero) | ~spl0_5), 200.76/30.19 inference(forward_demodulation,[],[f2055,f124])). 200.76/30.19 fof(f2055,plain,( 200.76/30.19 leq(star(one),zero) | zero != addition(star(one),addition(one,star(one))) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f979,f97])). 200.76/30.19 fof(f2099,plain,( 200.76/30.19 spl0_11 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2098,f95,f2075])). 200.76/30.19 fof(f2098,plain,( 200.76/30.19 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 200.76/30.19 inference(forward_demodulation,[],[f2054,f30])). 200.76/30.19 fof(f2054,plain,( 200.76/30.19 addition(star(one),addition(one,star(one))) = addition(star(one),star(one)) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f776,f97])). 200.76/30.19 fof(f2097,plain,( 200.76/30.19 spl0_11 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2096,f95,f2075])). 200.76/30.19 fof(f2096,plain,( 200.76/30.19 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 200.76/30.19 inference(forward_demodulation,[],[f2053,f47])). 200.76/30.19 fof(f2053,plain,( 200.76/30.19 addition(star(one),addition(one,star(one))) = addition(zero,star(one)) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f772,f97])). 200.76/30.19 fof(f2089,plain,( 200.76/30.19 spl0_11 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2023,f95,f2075])). 200.76/30.19 fof(f2023,plain,( 200.76/30.19 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f33,f97])). 200.76/30.19 fof(f2088,plain,( 200.76/30.19 spl0_11 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2022,f95,f2075])). 200.76/30.19 fof(f2022,plain,( 200.76/30.19 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f33,f97])). 200.76/30.19 fof(f2087,plain,( 200.76/30.19 spl0_10 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2086,f95,f2070])). 200.76/30.19 fof(f2086,plain,( 200.76/30.19 star(one) = addition(one,star(one)) | ~spl0_5), 200.76/30.19 inference(forward_demodulation,[],[f2021,f30])). 200.76/30.19 fof(f2021,plain,( 200.76/30.19 star(one) = addition(one,addition(star(one),star(one))) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f36,f97])). 200.76/30.19 fof(f2085,plain,( 200.76/30.19 spl0_11 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2020,f95,f2075])). 200.76/30.19 fof(f2020,plain,( 200.76/30.19 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f117,f97])). 200.76/30.19 fof(f2084,plain,( 200.76/30.19 spl0_10 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2019,f95,f2070])). 200.76/30.19 fof(f2019,plain,( 200.76/30.19 star(one) = addition(one,star(one)) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f1006,f97])). 200.76/30.19 fof(f1006,plain,( 200.76/30.19 ( ! [X8,X9] : (addition(X9,X8) = addition(addition(X9,X8),X8)) )), 200.76/30.19 inference(forward_demodulation,[],[f946,f47])). 200.76/30.19 fof(f946,plain,( 200.76/30.19 ( ! [X8,X9] : (addition(addition(X9,X8),X8) = addition(zero,addition(X9,X8))) )), 200.76/30.19 inference(superposition,[],[f772,f135])). 200.76/30.19 fof(f2083,plain,( 200.76/30.19 spl0_9 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2018,f95,f2065])). 200.76/30.19 fof(f2018,plain,( 200.76/30.19 star(one) = addition(star(one),one) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f1163,f97])). 200.76/30.19 fof(f2082,plain,( 200.76/30.19 spl0_11 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2017,f95,f2075])). 200.76/30.19 fof(f2017,plain,( 200.76/30.19 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f97,f33])). 200.76/30.19 fof(f2081,plain,( 200.76/30.19 spl0_11 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2016,f95,f2075])). 200.76/30.19 fof(f2016,plain,( 200.76/30.19 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f97,f33])). 200.76/30.19 fof(f2080,plain,( 200.76/30.19 spl0_10 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2079,f95,f2070])). 200.76/30.19 fof(f2079,plain,( 200.76/30.19 star(one) = addition(one,star(one)) | ~spl0_5), 200.76/30.19 inference(forward_demodulation,[],[f2015,f30])). 200.76/30.19 fof(f2015,plain,( 200.76/30.19 star(one) = addition(one,addition(star(one),star(one))) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f97,f36])). 200.76/30.19 fof(f2078,plain,( 200.76/30.19 spl0_11 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2014,f95,f2075])). 200.76/30.19 fof(f2014,plain,( 200.76/30.19 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f97,f117])). 200.76/30.19 fof(f2073,plain,( 200.76/30.19 spl0_10 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2013,f95,f2070])). 200.76/30.19 fof(f2013,plain,( 200.76/30.19 star(one) = addition(one,star(one)) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f97,f1006])). 200.76/30.19 fof(f2068,plain,( 200.76/30.19 spl0_9 | ~spl0_5), 200.76/30.19 inference(avatar_split_clause,[],[f2012,f95,f2065])). 200.76/30.19 fof(f2012,plain,( 200.76/30.19 star(one) = addition(star(one),one) | ~spl0_5), 200.76/30.19 inference(superposition,[],[f97,f1163])). 200.76/30.19 fof(f1015,plain,( 200.76/30.19 spl0_8 | ~spl0_4), 200.76/30.19 inference(avatar_split_clause,[],[f1010,f89,f1012])). 200.76/30.19 fof(f1012,plain,( 200.76/30.19 spl0_8 <=> star(zero) = addition(star(zero),one)), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 200.76/30.19 fof(f89,plain,( 200.76/30.19 spl0_4 <=> star(zero) = addition(one,star(zero))), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 200.76/30.19 fof(f1010,plain,( 200.76/30.19 star(zero) = addition(star(zero),one) | ~spl0_4), 200.76/30.19 inference(forward_demodulation,[],[f951,f47])). 200.76/30.19 fof(f951,plain,( 200.76/30.19 addition(star(zero),one) = addition(zero,star(zero)) | ~spl0_4), 200.76/30.19 inference(superposition,[],[f772,f91])). 200.76/30.19 fof(f91,plain,( 200.76/30.19 star(zero) = addition(one,star(zero)) | ~spl0_4), 200.76/30.19 inference(avatar_component_clause,[],[f89])). 200.76/30.19 fof(f110,plain,( 200.76/30.19 spl0_6 | ~spl0_7 | ~spl0_4), 200.76/30.19 inference(avatar_split_clause,[],[f99,f89,f107,f103])). 200.76/30.19 fof(f99,plain,( 200.76/30.19 one != star(zero) | leq(star(zero),one) | ~spl0_4), 200.76/30.19 inference(superposition,[],[f57,f91])). 200.76/30.19 fof(f98,plain,( 200.76/30.19 spl0_5 | ~spl0_3), 200.76/30.19 inference(avatar_split_clause,[],[f93,f83,f95])). 200.76/30.19 fof(f83,plain,( 200.76/30.19 spl0_3 <=> leq(addition(one,star(one)),star(one))), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 200.76/30.19 fof(f93,plain,( 200.76/30.19 star(one) = addition(addition(one,star(one)),star(one)) | ~spl0_3), 200.76/30.19 inference(resolution,[],[f85,f35])). 200.76/30.19 fof(f85,plain,( 200.76/30.19 leq(addition(one,star(one)),star(one)) | ~spl0_3), 200.76/30.19 inference(avatar_component_clause,[],[f83])). 200.76/30.19 fof(f92,plain,( 200.76/30.19 spl0_4 | ~spl0_2), 200.76/30.19 inference(avatar_split_clause,[],[f87,f78,f89])). 200.76/30.19 fof(f78,plain,( 200.76/30.19 spl0_2 <=> leq(one,star(zero))), 200.76/30.19 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 200.76/30.19 fof(f87,plain,( 200.76/30.19 star(zero) = addition(one,star(zero)) | ~spl0_2), 200.76/30.19 inference(resolution,[],[f80,f35])). 200.76/30.19 fof(f80,plain,( 200.76/30.19 leq(one,star(zero)) | ~spl0_2), 200.76/30.19 inference(avatar_component_clause,[],[f78])). 200.76/30.19 fof(f86,plain,( 200.76/30.19 spl0_3), 200.76/30.19 inference(avatar_split_clause,[],[f75,f83])). 200.76/30.19 fof(f75,plain,( 200.76/30.19 leq(addition(one,star(one)),star(one))), 200.76/30.19 inference(superposition,[],[f31,f29])). 200.76/30.19 fof(f81,plain,( 200.76/30.19 spl0_2), 200.76/30.19 inference(avatar_split_clause,[],[f76,f78])). 200.76/30.19 fof(f76,plain,( 200.76/30.19 leq(one,star(zero))), 200.76/30.19 inference(forward_demodulation,[],[f74,f27])). 200.76/30.19 fof(f74,plain,( 200.76/30.19 leq(addition(one,zero),star(zero))), 200.76/30.19 inference(superposition,[],[f31,f26])). 200.76/30.19 fof(f46,plain,( 200.76/30.19 ~spl0_1), 200.76/30.19 inference(avatar_split_clause,[],[f24,f43])). 200.76/30.19 fof(f24,plain,( 200.76/30.19 ~leq(multiplication(a,multiplication(a,multiplication(a,multiplication(a,multiplication(a,a))))),star(a))), 200.76/30.19 inference(cnf_transformation,[],[f19])). 200.76/30.19 fof(f19,plain,( 200.76/30.19 ~leq(multiplication(a,multiplication(a,multiplication(a,multiplication(a,multiplication(a,a))))),star(a))), 200.76/30.19 inference(flattening,[],[f18])). 200.76/30.19 fof(f18,negated_conjecture,( 200.76/30.19 ~leq(multiplication(a,multiplication(a,multiplication(a,multiplication(a,multiplication(a,a))))),star(a))), 200.76/30.19 inference(negated_conjecture,[],[f17])). 200.76/30.19 fof(f17,conjecture,( 200.76/30.19 leq(multiplication(a,multiplication(a,multiplication(a,multiplication(a,multiplication(a,a))))),star(a))), 200.76/30.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a)). 200.76/30.19 % SZS output end Proof for theBenchmark 200.76/30.19 % (28955)------------------------------ 200.76/30.19 % (28955)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 200.76/30.19 % (28955)Termination reason: Refutation 200.76/30.19 200.76/30.19 % (28955)Memory used [KB]: 419097 200.76/30.19 % (28955)Time elapsed: 29.799 s 200.76/30.19 % (28955)------------------------------ 200.76/30.19 % (28955)------------------------------ 200.76/30.22 % (28947)Success in time 29.884 s 200.76/30.28 EOF