0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_vampire %s %d 0.11/0.32 % Computer : n024.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Thu Jul 2 08:20:56 EDT 2020 0.11/0.32 % CPUTime : 0.11/0.38 % (29759)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 0.11/0.39 % (29753)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 0.11/0.39 % (29758)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 0.11/0.39 % (29757)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 0.17/0.41 % (29756)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 0.17/0.43 % (29752)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 0.17/0.43 % (29754)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 0.17/0.44 % (29760)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 0.17/0.44 % (29755)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 0.17/0.44 % (29761)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 0.17/0.45 % (29762)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 0.17/0.45 % (29763)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 4.81/0.99 % (29753)Time limit reached! 4.81/0.99 % (29753)------------------------------ 4.81/0.99 % (29753)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.81/0.99 % (29753)Termination reason: Time limit 4.81/0.99 % (29753)Termination phase: Saturation 4.81/0.99 4.81/0.99 % (29753)Memory used [KB]: 28272 4.81/0.99 % (29753)Time elapsed: 0.600 s 4.81/0.99 % (29753)------------------------------ 4.81/0.99 % (29753)------------------------------ 8.33/1.39 % (29752)Time limit reached! 8.33/1.39 % (29752)------------------------------ 8.33/1.39 % (29752)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 8.33/1.39 % (29752)Termination reason: Time limit 8.33/1.39 % (29752)Termination phase: Saturation 8.33/1.39 8.33/1.39 % (29752)Memory used [KB]: 28272 8.33/1.39 % (29752)Time elapsed: 1.0000 s 8.33/1.39 % (29752)------------------------------ 8.33/1.39 % (29752)------------------------------ 64.96/8.52 % (29756)Time limit reached! 64.96/8.52 % (29756)------------------------------ 64.96/8.52 % (29756)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 64.96/8.52 % (29756)Termination reason: Time limit 64.96/8.52 64.96/8.52 % (29756)Memory used [KB]: 184730 64.96/8.52 % (29756)Time elapsed: 8.128 s 64.96/8.52 % (29756)------------------------------ 64.96/8.52 % (29756)------------------------------ 82.81/10.81 % (29754)Time limit reached! 82.81/10.81 % (29754)------------------------------ 82.81/10.81 % (29754)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 82.81/10.81 % (29754)Termination reason: Time limit 82.81/10.81 % (29754)Termination phase: Saturation 82.81/10.81 82.81/10.81 % (29754)Memory used [KB]: 181660 82.81/10.81 % (29754)Time elapsed: 10.400 s 82.81/10.81 % (29754)------------------------------ 82.81/10.81 % (29754)------------------------------ 103.26/13.41 % (29755)Time limit reached! 103.26/13.41 % (29755)------------------------------ 103.26/13.41 % (29755)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 103.26/13.41 % (29755)Termination reason: Time limit 103.26/13.41 % (29755)Termination phase: Saturation 103.26/13.41 103.26/13.41 % (29755)Memory used [KB]: 301146 103.26/13.41 % (29755)Time elapsed: 13.0000 s 103.26/13.41 % (29755)------------------------------ 103.26/13.41 % (29755)------------------------------ 105.95/13.79 % (29757)Time limit reached! 105.95/13.79 % (29757)------------------------------ 105.95/13.79 % (29757)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 105.95/13.79 % (29757)Termination reason: Time limit 105.95/13.79 % (29757)Termination phase: Saturation 105.95/13.79 105.95/13.79 % (29757)Memory used [KB]: 353597 105.95/13.79 % (29757)Time elapsed: 13.400 s 105.95/13.79 % (29757)------------------------------ 105.95/13.79 % (29757)------------------------------ 172.08/24.78 % (29759)Refutation found. Thanks to Tanya! 172.08/24.78 % SZS status Theorem for theBenchmark 172.08/24.78 % SZS output start Proof for theBenchmark 172.08/24.78 fof(f849038,plain,( 172.08/24.78 $false), 172.08/24.78 inference(avatar_sat_refutation,[],[f53,f88,f93,f99,f105,f117,f1023,f2076,f2081,f2086,f2088,f2089,f2090,f2091,f2092,f2093,f2095,f2096,f2097,f2105,f2107,f2118,f2119,f2121,f2123,f2138,f2193,f2198,f2201,f2202,f2288,f297171,f297177,f300701,f300719,f301198,f301199,f301206,f301211,f721926,f847641])). 172.08/24.78 fof(f847641,plain,( 172.08/24.78 spl0_1), 172.08/24.78 inference(avatar_contradiction_clause,[],[f847640])). 172.08/24.78 fof(f847640,plain,( 172.08/24.78 $false | spl0_1), 172.08/24.78 inference(subsumption_resolution,[],[f52,f844752])). 172.08/24.78 fof(f844752,plain,( 172.08/24.78 ( ! [X28] : (leq(multiplication(X28,multiplication(X28,multiplication(X28,X28))),star(X28))) )), 172.08/24.78 inference(superposition,[],[f88917,f315818])). 172.08/24.78 fof(f315818,plain,( 172.08/24.78 ( ! [X0] : (star(X0) = addition(multiplication(star(X0),multiplication(X0,X0)),star(X0))) )), 172.08/24.78 inference(backward_demodulation,[],[f174022,f315084])). 172.08/24.78 fof(f315084,plain,( 172.08/24.78 ( ! [X0] : (star(X0) = star(star(X0))) )), 172.08/24.78 inference(backward_demodulation,[],[f147177,f313163])). 172.08/24.78 fof(f313163,plain,( 172.08/24.78 ( ! [X0] : (star(X0) = multiplication(star(star(X0)),star(X0))) )), 172.08/24.78 inference(superposition,[],[f33817,f311515])). 172.08/24.78 fof(f311515,plain,( 172.08/24.78 ( ! [X0] : (star(X0) = star(star(star(X0)))) )), 172.08/24.78 inference(resolution,[],[f310851,f300777])). 172.08/24.78 fof(f300777,plain,( 172.08/24.78 ( ! [X0] : (~leq(star(X0),X0) | star(star(X0)) = X0) )), 172.08/24.78 inference(forward_demodulation,[],[f300776,f34378])). 172.08/24.78 fof(f34378,plain,( 172.08/24.78 ( ! [X0] : (star(star(X0)) = addition(X0,star(star(X0)))) )), 172.08/24.78 inference(resolution,[],[f34362,f42])). 172.08/24.78 fof(f42,plain,( 172.08/24.78 ( ! [X0,X1] : (~leq(X0,X1) | addition(X0,X1) = X1) )), 172.08/24.78 inference(cnf_transformation,[],[f30])). 172.08/24.78 fof(f30,plain,( 172.08/24.78 ! [X0,X1] : ((addition(X0,X1) = X1 | ~leq(X0,X1)) & (leq(X0,X1) | addition(X0,X1) != X1))), 172.08/24.78 inference(nnf_transformation,[],[f21])). 172.08/24.78 fof(f21,plain,( 172.08/24.78 ! [X0,X1] : (addition(X0,X1) = X1 <=> leq(X0,X1))), 172.08/24.78 inference(rectify,[],[f16])). 172.08/24.78 fof(f16,axiom,( 172.08/24.78 ! [X0,X2] : (addition(X0,X2) = X2 <=> leq(X0,X2))), 172.08/24.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order)). 172.08/24.78 fof(f34362,plain,( 172.08/24.78 ( ! [X18] : (leq(X18,star(star(X18)))) )), 172.08/24.78 inference(superposition,[],[f34328,f33932])). 172.08/24.78 fof(f33932,plain,( 172.08/24.78 ( ! [X0] : (star(X0) = addition(X0,star(X0))) )), 172.08/24.78 inference(resolution,[],[f33919,f42])). 172.08/24.78 fof(f33919,plain,( 172.08/24.78 ( ! [X10] : (leq(X10,star(X10))) )), 172.08/24.78 inference(superposition,[],[f33867,f15432])). 172.08/24.78 fof(f15432,plain,( 172.08/24.78 ( ! [X1] : (star(X1) = addition(star(X1),multiplication(star(X1),X1))) )), 172.08/24.78 inference(superposition,[],[f14584,f40])). 172.08/24.78 fof(f40,plain,( 172.08/24.78 ( ! [X0,X1] : (addition(X0,X1) = addition(X1,X0)) )), 172.08/24.78 inference(cnf_transformation,[],[f20])). 172.08/24.78 fof(f20,plain,( 172.08/24.78 ! [X0,X1] : addition(X0,X1) = addition(X1,X0)), 172.08/24.78 inference(rectify,[],[f15])). 172.08/24.78 fof(f15,axiom,( 172.08/24.78 ! [X0,X2] : addition(X0,X2) = addition(X2,X0)), 172.08/24.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity)). 172.08/24.78 fof(f14584,plain,( 172.08/24.78 ( ! [X3] : (star(X3) = addition(multiplication(star(X3),X3),star(X3))) )), 172.08/24.78 inference(backward_demodulation,[],[f12103,f14582])). 172.08/24.78 fof(f14582,plain,( 172.08/24.78 ( ! [X1] : (star(X1) = addition(one,star(X1))) )), 172.08/24.78 inference(backward_demodulation,[],[f11713,f14576])). 172.08/24.78 fof(f14576,plain,( 172.08/24.78 ( ! [X171] : (star(X171) = addition(star(X171),multiplication(X171,star(X171)))) )), 172.08/24.78 inference(forward_demodulation,[],[f14575,f14513])). 172.08/24.78 fof(f14513,plain,( 172.08/24.78 ( ! [X7] : (star(X7) = addition(addition(one,star(X7)),multiplication(X7,star(X7)))) )), 172.08/24.78 inference(forward_demodulation,[],[f14355,f40])). 172.08/24.78 fof(f14355,plain,( 172.08/24.78 ( ! [X7] : (star(X7) = addition(addition(star(X7),one),multiplication(X7,star(X7)))) )), 172.08/24.78 inference(superposition,[],[f11841,f1038])). 172.08/24.78 fof(f1038,plain,( 172.08/24.78 ( ! [X57,X56,X55] : (addition(X57,addition(X56,X55)) = addition(addition(X55,X56),X57)) )), 172.08/24.78 inference(forward_demodulation,[],[f992,f34])). 172.08/24.78 fof(f34,plain,( 172.08/24.78 ( ! [X0] : (addition(X0,zero) = X0) )), 172.08/24.78 inference(cnf_transformation,[],[f11])). 172.08/24.78 fof(f11,axiom,( 172.08/24.78 ! [X0] : addition(X0,zero) = X0), 172.08/24.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity)). 172.08/24.78 fof(f992,plain,( 172.08/24.78 ( ! [X57,X56,X55] : (addition(addition(X55,X56),addition(X57,zero)) = addition(X57,addition(X56,X55))) )), 172.08/24.78 inference(superposition,[],[f131,f784])). 172.08/24.78 fof(f784,plain,( 172.08/24.78 ( ! [X33,X34] : (addition(X34,X33) = addition(zero,addition(X33,X34))) )), 172.08/24.78 inference(superposition,[],[f131,f54])). 172.08/24.78 fof(f54,plain,( 172.08/24.78 ( ! [X0] : (addition(zero,X0) = X0) )), 172.08/24.78 inference(superposition,[],[f40,f34])). 172.08/24.78 fof(f131,plain,( 172.08/24.78 ( ! [X8,X7,X9] : (addition(X7,addition(X8,X9)) = addition(X9,addition(X7,X8))) )), 172.08/24.78 inference(superposition,[],[f43,f40])). 172.08/24.78 fof(f43,plain,( 172.08/24.78 ( ! [X2,X0,X1] : (addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0)) )), 172.08/24.78 inference(cnf_transformation,[],[f22])). 172.08/24.78 fof(f22,plain,( 172.08/24.78 ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0)), 172.08/24.78 inference(rectify,[],[f3])). 172.08/24.78 fof(f3,axiom,( 172.08/24.78 ! [X1,X2,X0] : addition(X0,addition(X2,X1)) = addition(addition(X0,X2),X1)), 172.08/24.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity)). 172.08/24.78 fof(f11841,plain,( 172.08/24.78 ( ! [X3] : (star(X3) = addition(multiplication(X3,star(X3)),addition(one,star(X3)))) )), 172.08/24.78 inference(forward_demodulation,[],[f11715,f40])). 172.08/24.78 fof(f11715,plain,( 172.08/24.78 ( ! [X3] : (star(X3) = addition(multiplication(X3,star(X3)),addition(star(X3),one))) )), 172.08/24.78 inference(superposition,[],[f80,f768])). 172.08/24.78 fof(f768,plain,( 172.08/24.78 ( ! [X14,X12,X13] : (addition(X14,addition(X12,X13)) = addition(addition(X13,X14),X12)) )), 172.08/24.78 inference(superposition,[],[f131,f40])). 172.08/24.78 fof(f80,plain,( 172.08/24.78 ( ! [X0] : (star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0))) )), 172.08/24.78 inference(resolution,[],[f38,f42])). 172.08/24.78 fof(f38,plain,( 172.08/24.78 ( ! [X0] : (leq(addition(one,multiplication(X0,star(X0))),star(X0))) )), 172.08/24.78 inference(cnf_transformation,[],[f5])). 172.08/24.78 fof(f5,axiom,( 172.08/24.78 ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0))), 172.08/24.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_right)). 172.08/24.78 fof(f14575,plain,( 172.08/24.78 ( ! [X171] : (addition(addition(one,star(X171)),multiplication(X171,star(X171))) = addition(star(X171),multiplication(X171,star(X171)))) )), 172.08/24.78 inference(forward_demodulation,[],[f14464,f40])). 172.08/24.78 fof(f14464,plain,( 172.08/24.78 ( ! [X171] : (addition(addition(one,star(X171)),multiplication(X171,star(X171))) = addition(multiplication(X171,star(X171)),star(X171))) )), 172.08/24.78 inference(superposition,[],[f765,f11841])). 172.08/24.78 fof(f765,plain,( 172.08/24.78 ( ! [X2,X3] : (addition(X3,X2) = addition(X2,addition(X2,X3))) )), 172.08/24.78 inference(superposition,[],[f131,f142])). 172.08/24.78 fof(f142,plain,( 172.08/24.78 ( ! [X2,X1] : (addition(X2,X1) = addition(X1,addition(X2,X1))) )), 172.08/24.78 inference(superposition,[],[f123,f40])). 172.08/24.78 fof(f123,plain,( 172.08/24.78 ( ! [X2,X3] : (addition(X2,X3) = addition(X2,addition(X2,X3))) )), 172.08/24.78 inference(superposition,[],[f43,f37])). 172.08/24.78 fof(f37,plain,( 172.08/24.78 ( ! [X0] : (addition(X0,X0) = X0) )), 172.08/24.78 inference(cnf_transformation,[],[f7])). 172.08/24.78 fof(f7,axiom,( 172.08/24.78 ! [X0] : addition(X0,X0) = X0), 172.08/24.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence)). 172.08/24.78 fof(f11713,plain,( 172.08/24.78 ( ! [X1] : (star(X1) = addition(one,addition(star(X1),multiplication(X1,star(X1))))) )), 172.08/24.78 inference(superposition,[],[f80,f2538])). 172.08/24.78 fof(f2538,plain,( 172.08/24.78 ( ! [X24,X23,X22] : (addition(X23,addition(X22,X24)) = addition(addition(X23,X24),X22)) )), 172.08/24.78 inference(superposition,[],[f669,f40])). 172.08/24.78 fof(f669,plain,( 172.08/24.78 ( ! [X4,X5,X3] : (addition(X3,addition(X4,X5)) = addition(X4,addition(X3,X5))) )), 172.08/24.78 inference(superposition,[],[f124,f43])). 172.08/24.78 fof(f124,plain,( 172.08/24.78 ( ! [X6,X4,X5] : (addition(X4,addition(X5,X6)) = addition(addition(X5,X4),X6)) )), 172.08/24.78 inference(superposition,[],[f43,f40])). 172.08/24.78 fof(f12103,plain,( 172.08/24.78 ( ! [X3] : (star(X3) = addition(multiplication(star(X3),X3),addition(one,star(X3)))) )), 172.08/24.78 inference(forward_demodulation,[],[f11976,f40])). 172.08/24.78 fof(f11976,plain,( 172.08/24.78 ( ! [X3] : (star(X3) = addition(multiplication(star(X3),X3),addition(star(X3),one))) )), 172.08/24.78 inference(superposition,[],[f118,f768])). 172.08/24.78 fof(f118,plain,( 172.08/24.78 ( ! [X0] : (star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0))) )), 172.08/24.78 inference(resolution,[],[f39,f42])). 172.08/24.78 fof(f39,plain,( 172.08/24.78 ( ! [X0] : (leq(addition(one,multiplication(star(X0),X0)),star(X0))) )), 172.08/24.78 inference(cnf_transformation,[],[f1])). 172.08/24.78 fof(f1,axiom,( 172.08/24.78 ! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0))), 172.08/24.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_left)). 172.08/24.78 fof(f33867,plain,( 172.08/24.78 ( ! [X2,X0,X1] : (leq(X1,addition(X2,multiplication(star(X0),X1)))) )), 172.08/24.78 inference(superposition,[],[f33396,f14582])). 172.08/24.78 fof(f33396,plain,( 172.08/24.78 ( ! [X47,X48,X46] : (leq(X46,addition(X48,multiplication(addition(one,X47),X46)))) )), 172.08/24.78 inference(superposition,[],[f179,f32596])). 172.08/24.78 fof(f32596,plain,( 172.08/24.78 ( ! [X4,X5] : (multiplication(addition(one,X5),X4) = addition(X4,multiplication(X5,X4))) )), 172.08/24.78 inference(superposition,[],[f45,f36])). 172.08/24.78 fof(f36,plain,( 172.08/24.78 ( ! [X0] : (multiplication(one,X0) = X0) )), 172.08/24.78 inference(cnf_transformation,[],[f2])). 172.08/24.78 fof(f2,axiom,( 172.08/24.78 ! [X0] : multiplication(one,X0) = X0), 172.08/24.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity)). 172.08/24.78 fof(f45,plain,( 172.08/24.78 ( ! [X2,X0,X1] : (multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2))) )), 172.08/24.78 inference(cnf_transformation,[],[f24])). 172.08/24.78 fof(f24,plain,( 172.08/24.78 ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2))), 172.08/24.78 inference(rectify,[],[f12])). 172.08/24.78 fof(f12,axiom,( 172.08/24.78 ! [X0,X2,X1] : multiplication(addition(X0,X2),X1) = addition(multiplication(X0,X1),multiplication(X2,X1))), 172.08/24.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity)). 172.08/24.78 fof(f179,plain,( 172.08/24.78 ( ! [X4,X2,X3] : (leq(X3,addition(X4,addition(X3,X2)))) )), 172.08/24.78 inference(superposition,[],[f175,f40])). 172.08/24.78 fof(f175,plain,( 172.08/24.78 ( ! [X10,X8,X9] : (leq(X10,addition(X8,addition(X9,X10)))) )), 172.08/24.78 inference(superposition,[],[f161,f43])). 172.08/24.78 fof(f161,plain,( 172.08/24.78 ( ! [X2,X1] : (leq(X1,addition(X2,X1))) )), 172.08/24.78 inference(superposition,[],[f154,f40])). 172.08/24.78 fof(f154,plain,( 172.08/24.78 ( ! [X6,X5] : (leq(X5,addition(X5,X6))) )), 172.08/24.78 inference(trivial_inequality_removal,[],[f152])). 172.08/24.78 fof(f152,plain,( 172.08/24.78 ( ! [X6,X5] : (addition(X5,X6) != addition(X5,X6) | leq(X5,addition(X5,X6))) )), 172.08/24.78 inference(superposition,[],[f41,f123])). 172.08/24.78 fof(f41,plain,( 172.08/24.78 ( ! [X0,X1] : (addition(X0,X1) != X1 | leq(X0,X1)) )), 172.08/24.78 inference(cnf_transformation,[],[f30])). 172.08/24.78 fof(f34328,plain,( 172.08/24.78 ( ! [X2,X3] : (leq(X3,addition(star(X3),X2))) )), 172.08/24.78 inference(superposition,[],[f33996,f40])). 172.08/24.78 fof(f33996,plain,( 172.08/24.78 ( ! [X99,X98] : (leq(X98,addition(X99,star(X98)))) )), 172.08/24.78 inference(superposition,[],[f179,f33932])). 172.08/24.78 fof(f300776,plain,( 172.08/24.78 ( ! [X0] : (addition(X0,star(star(X0))) = X0 | ~leq(star(X0),X0)) )), 172.08/24.78 inference(forward_demodulation,[],[f300773,f40])). 172.08/24.78 fof(f300773,plain,( 172.08/24.78 ( ! [X0] : (~leq(star(X0),X0) | addition(star(star(X0)),X0) = X0) )), 172.08/24.78 inference(resolution,[],[f297118,f42])). 172.08/24.78 fof(f297118,plain,( 172.08/24.78 ( ! [X13] : (leq(star(star(X13)),X13) | ~leq(star(X13),X13)) )), 172.08/24.78 inference(forward_demodulation,[],[f297061,f33817])). 172.08/24.78 fof(f297061,plain,( 172.08/24.78 ( ! [X13] : (~leq(star(X13),X13) | leq(multiplication(star(X13),star(star(X13))),X13)) )), 172.08/24.78 inference(superposition,[],[f47,f14412])). 172.08/24.78 fof(f14412,plain,( 172.08/24.78 ( ! [X62] : (star(X62) = addition(multiplication(X62,star(X62)),star(X62))) )), 172.08/24.78 inference(superposition,[],[f123,f11841])). 172.08/24.78 fof(f47,plain,( 172.08/24.78 ( ! [X2,X0,X1] : (~leq(addition(multiplication(X0,X1),X2),X0) | leq(multiplication(X2,star(X1)),X0)) )), 172.08/24.78 inference(cnf_transformation,[],[f28])). 172.08/24.78 fof(f28,plain,( 172.08/24.78 ! [X0,X1,X2] : (leq(multiplication(X2,star(X1)),X0) | ~leq(addition(multiplication(X0,X1),X2),X0))), 172.08/24.78 inference(ennf_transformation,[],[f26])). 172.08/24.78 fof(f26,plain,( 172.08/24.78 ! [X0,X1,X2] : (leq(addition(multiplication(X0,X1),X2),X0) => leq(multiplication(X2,star(X1)),X0))), 172.08/24.78 inference(rectify,[],[f8])). 172.08/24.78 fof(f8,axiom,( 172.08/24.78 ! [X0,X2,X1] : (leq(addition(multiplication(X0,X2),X1),X0) => leq(multiplication(X1,star(X2)),X0))), 172.08/24.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction_right)). 172.08/24.78 fof(f310851,plain,( 172.08/24.78 ( ! [X98] : (leq(star(star(X98)),star(X98))) )), 172.08/24.78 inference(forward_demodulation,[],[f310850,f33817])). 172.08/24.78 fof(f310850,plain,( 172.08/24.78 ( ! [X98] : (leq(multiplication(star(X98),star(star(X98))),star(X98))) )), 172.08/24.78 inference(subsumption_resolution,[],[f309523,f68])). 172.08/24.78 fof(f68,plain,( 172.08/24.78 ( ! [X1] : (leq(X1,X1)) )), 172.08/24.78 inference(trivial_inequality_removal,[],[f63])). 172.08/24.78 fof(f63,plain,( 172.08/24.78 ( ! [X1] : (X1 != X1 | leq(X1,X1)) )), 172.08/24.78 inference(superposition,[],[f41,f37])). 172.08/24.78 fof(f309523,plain,( 172.08/24.78 ( ! [X98] : (~leq(star(X98),star(X98)) | leq(multiplication(star(X98),star(star(X98))),star(X98))) )), 172.08/24.78 inference(superposition,[],[f47,f297139])). 172.08/24.78 fof(f297139,plain,( 172.08/24.78 ( ! [X0] : (star(X0) = addition(multiplication(star(X0),star(X0)),star(X0))) )), 172.08/24.78 inference(resolution,[],[f297117,f42])). 172.08/24.78 fof(f297117,plain,( 172.08/24.78 ( ! [X12] : (leq(multiplication(star(X12),star(X12)),star(X12))) )), 172.08/24.78 inference(subsumption_resolution,[],[f297060,f68])). 172.08/24.78 fof(f297060,plain,( 172.08/24.78 ( ! [X12] : (~leq(star(X12),star(X12)) | leq(multiplication(star(X12),star(X12)),star(X12))) )), 172.08/24.78 inference(superposition,[],[f47,f14584])). 172.08/24.78 fof(f33817,plain,( 172.08/24.78 ( ! [X0] : (star(star(X0)) = multiplication(star(X0),star(star(X0)))) )), 172.08/24.78 inference(superposition,[],[f33371,f14582])). 172.08/24.78 fof(f33371,plain,( 172.08/24.78 ( ! [X6] : (star(X6) = multiplication(addition(one,X6),star(X6))) )), 172.08/24.78 inference(superposition,[],[f32596,f14576])). 172.08/24.78 fof(f147177,plain,( 172.08/24.78 ( ! [X0] : (star(star(X0)) = multiplication(star(star(X0)),star(X0))) )), 172.08/24.78 inference(superposition,[],[f145260,f14582])). 172.08/24.78 fof(f145260,plain,( 172.08/24.78 ( ! [X9] : (star(X9) = multiplication(star(X9),addition(one,X9))) )), 172.08/24.78 inference(superposition,[],[f140541,f15432])). 172.08/24.78 fof(f140541,plain,( 172.08/24.78 ( ! [X2,X3] : (multiplication(X2,addition(one,X3)) = addition(X2,multiplication(X2,X3))) )), 172.08/24.78 inference(superposition,[],[f46,f35])). 172.08/24.78 fof(f35,plain,( 172.08/24.78 ( ! [X0] : (multiplication(X0,one) = X0) )), 172.08/24.78 inference(cnf_transformation,[],[f4])). 172.08/24.78 fof(f4,axiom,( 172.08/24.78 ! [X0] : multiplication(X0,one) = X0), 172.08/24.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity)). 172.08/24.78 fof(f46,plain,( 172.08/24.78 ( ! [X2,X0,X1] : (addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2))) )), 172.08/24.78 inference(cnf_transformation,[],[f25])). 172.08/24.78 fof(f25,plain,( 172.08/24.78 ! [X0,X1,X2] : addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2))), 172.08/24.78 inference(rectify,[],[f10])). 172.08/24.78 fof(f10,axiom,( 172.08/24.78 ! [X0,X2,X1] : addition(multiplication(X0,X2),multiplication(X0,X1)) = multiplication(X0,addition(X2,X1))), 172.08/24.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity)). 172.08/24.78 fof(f174022,plain,( 172.08/24.78 ( ! [X0] : (star(star(X0)) = addition(multiplication(star(X0),multiplication(X0,X0)),star(star(X0)))) )), 172.08/24.78 inference(resolution,[],[f173719,f42])). 172.08/24.78 fof(f173719,plain,( 172.08/24.78 ( ! [X77] : (leq(multiplication(star(X77),multiplication(X77,X77)),star(star(X77)))) )), 172.08/24.78 inference(superposition,[],[f173001,f80190])). 172.08/24.78 fof(f80190,plain,( 172.08/24.78 ( ! [X1] : (star(X1) = addition(star(X1),multiplication(X1,X1))) )), 172.08/24.78 inference(superposition,[],[f80175,f40])). 172.08/24.78 fof(f80175,plain,( 172.08/24.78 ( ! [X0] : (star(X0) = addition(multiplication(X0,X0),star(X0))) )), 172.08/24.78 inference(resolution,[],[f80152,f42])). 172.08/24.78 fof(f80152,plain,( 172.08/24.78 ( ! [X12] : (leq(multiplication(X12,X12),star(X12))) )), 172.08/24.78 inference(superposition,[],[f80029,f15432])). 172.08/24.78 fof(f80029,plain,( 172.08/24.78 ( ! [X109,X110,X108] : (leq(multiplication(X108,X109),addition(X110,multiplication(star(X108),X109)))) )), 172.08/24.78 inference(superposition,[],[f32632,f34187])). 172.08/24.78 fof(f34187,plain,( 172.08/24.78 ( ! [X24] : (star(X24) = addition(star(X24),X24)) )), 172.08/24.78 inference(forward_demodulation,[],[f33957,f14582])). 172.08/24.78 fof(f33957,plain,( 172.08/24.78 ( ! [X24] : (addition(one,star(X24)) = addition(star(X24),X24)) )), 172.08/24.78 inference(superposition,[],[f14829,f33932])). 172.08/24.78 fof(f14829,plain,( 172.08/24.78 ( ! [X204,X205] : (addition(star(X204),X205) = addition(one,addition(X205,star(X204)))) )), 172.08/24.78 inference(superposition,[],[f2538,f14582])). 172.08/24.78 fof(f32632,plain,( 172.08/24.78 ( ! [X76,X74,X75,X73] : (leq(multiplication(X75,X74),addition(X76,multiplication(addition(X73,X75),X74)))) )), 172.08/24.78 inference(superposition,[],[f175,f45])). 172.08/24.78 fof(f173001,plain,( 172.08/24.78 ( ! [X26,X27] : (leq(multiplication(addition(X26,X27),X27),star(addition(X26,X27)))) )), 172.08/24.78 inference(superposition,[],[f140724,f80190])). 172.08/24.78 fof(f140724,plain,( 172.08/24.78 ( ! [X494,X496,X493,X495] : (leq(multiplication(X493,X495),addition(X496,multiplication(X493,addition(X494,X495))))) )), 172.08/24.78 inference(superposition,[],[f175,f46])). 172.08/24.78 fof(f88917,plain,( 172.08/24.78 ( ! [X123,X121,X122] : (leq(multiplication(X121,multiplication(X121,X122)),addition(multiplication(star(X121),X122),X123))) )), 172.08/24.78 inference(forward_demodulation,[],[f88822,f44])). 172.08/24.78 fof(f44,plain,( 172.08/24.78 ( ! [X2,X0,X1] : (multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2)) )), 172.08/24.78 inference(cnf_transformation,[],[f23])). 172.08/24.78 fof(f23,plain,( 172.08/24.78 ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2)), 172.08/24.78 inference(rectify,[],[f9])). 172.08/24.78 fof(f9,axiom,( 172.08/24.78 ! [X0,X2,X1] : multiplication(X0,multiplication(X2,X1)) = multiplication(multiplication(X0,X2),X1)), 172.08/24.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity)). 172.08/24.78 fof(f88822,plain,( 172.08/24.78 ( ! [X123,X121,X122] : (leq(multiplication(multiplication(X121,X121),X122),addition(multiplication(star(X121),X122),X123))) )), 172.08/24.78 inference(superposition,[],[f80085,f80190])). 172.08/24.78 fof(f80085,plain,( 172.08/24.78 ( ! [X12,X10,X11,X9] : (leq(multiplication(X11,X12),addition(multiplication(addition(X10,X11),X12),X9))) )), 172.08/24.78 inference(superposition,[],[f32632,f40])). 172.08/24.78 fof(f52,plain,( 172.08/24.78 ~leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a)) | spl0_1), 172.08/24.78 inference(avatar_component_clause,[],[f50])). 172.08/24.78 fof(f50,plain,( 172.08/24.78 spl0_1 <=> leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a))), 172.08/24.78 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 172.08/24.78 fof(f721926,plain,( 172.08/24.78 ~spl0_25 | ~spl0_7 | spl0_20), 172.08/24.78 inference(avatar_split_clause,[],[f721921,f300695,f114,f721923])). 172.08/24.78 fof(f721923,plain,( 172.08/24.78 spl0_25 <=> one = multiplication(zero,zero)), 172.08/24.78 introduced(avatar_definition,[new_symbols(naming,[spl0_25])])). 172.08/24.78 fof(f114,plain,( 172.08/24.78 spl0_7 <=> one = star(zero)), 172.08/24.78 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])). 172.08/24.78 fof(f300695,plain,( 172.08/24.78 spl0_20 <=> leq(one,zero)), 172.08/24.78 introduced(avatar_definition,[new_symbols(naming,[spl0_20])])). 172.08/24.78 fof(f721921,plain,( 172.08/24.78 one != multiplication(zero,zero) | (~spl0_7 | spl0_20)), 172.08/24.78 inference(subsumption_resolution,[],[f721920,f300697])). 172.08/24.78 fof(f300697,plain,( 172.08/24.78 ~leq(one,zero) | spl0_20), 172.08/24.78 inference(avatar_component_clause,[],[f300695])). 172.08/24.78 fof(f721920,plain,( 172.08/24.78 leq(one,zero) | one != multiplication(zero,zero) | ~spl0_7), 172.08/24.78 inference(forward_demodulation,[],[f721906,f32])). 172.08/24.78 fof(f32,plain,( 172.08/24.78 ( ! [X0] : (zero = multiplication(X0,zero)) )), 172.08/24.78 inference(cnf_transformation,[],[f13])). 172.08/24.78 fof(f13,axiom,( 172.08/24.78 ! [X0] : zero = multiplication(X0,zero)), 172.08/24.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation)). 172.08/24.78 fof(f721906,plain,( 172.08/24.78 leq(one,multiplication(zero,zero)) | one != multiplication(zero,zero) | ~spl0_7), 172.08/24.78 inference(superposition,[],[f80371,f115])). 172.08/24.78 fof(f115,plain,( 172.08/24.78 one = star(zero) | ~spl0_7), 172.08/24.78 inference(avatar_component_clause,[],[f114])). 172.08/24.78 fof(f80371,plain,( 172.08/24.78 ( ! [X297] : (leq(star(X297),multiplication(X297,X297)) | star(X297) != multiplication(X297,X297)) )), 172.08/24.78 inference(superposition,[],[f64,f80175])). 172.08/24.78 fof(f64,plain,( 172.08/24.78 ( ! [X2,X3] : (addition(X3,X2) != X3 | leq(X2,X3)) )), 172.08/24.78 inference(superposition,[],[f41,f40])). 172.08/24.78 fof(f301211,plain,( 172.08/24.78 spl0_24 | ~spl0_15), 172.08/24.78 inference(avatar_split_clause,[],[f301201,f2186,f301208])). 172.08/24.78 fof(f301208,plain,( 172.08/24.78 spl0_24 <=> one = addition(star(one),one)), 172.08/24.78 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])). 172.08/24.78 fof(f2186,plain,( 172.08/24.78 spl0_15 <=> leq(star(one),one)), 172.08/24.78 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])). 172.08/24.78 fof(f301201,plain,( 172.08/24.78 one = addition(star(one),one) | ~spl0_15), 172.08/24.78 inference(resolution,[],[f2188,f42])). 172.08/24.78 fof(f2188,plain,( 172.08/24.78 leq(star(one),one) | ~spl0_15), 172.08/24.78 inference(avatar_component_clause,[],[f2186])). 172.08/24.78 fof(f301206,plain,( 172.08/24.78 spl0_23 | ~spl0_15), 172.08/24.78 inference(avatar_split_clause,[],[f301200,f2186,f301203])). 172.08/24.78 fof(f301203,plain,( 172.08/24.78 spl0_23 <=> one = star(star(one))), 172.08/24.78 introduced(avatar_definition,[new_symbols(naming,[spl0_23])])). 172.08/24.78 fof(f301200,plain,( 172.08/24.78 one = star(star(one)) | ~spl0_15), 172.08/24.78 inference(resolution,[],[f2188,f300777])). 172.08/24.78 fof(f301199,plain,( 172.08/24.78 spl0_15 | ~spl0_7), 172.08/24.78 inference(avatar_split_clause,[],[f301196,f114,f2186])). 172.08/24.78 fof(f301196,plain,( 172.08/24.78 leq(star(one),one) | ~spl0_7), 172.08/24.78 inference(superposition,[],[f301160,f115])). 172.08/24.78 fof(f301160,plain,( 172.08/24.78 ( ! [X78] : (leq(star(one),star(X78))) )), 172.08/24.78 inference(forward_demodulation,[],[f301159,f36])). 172.08/24.78 fof(f301159,plain,( 172.08/24.78 ( ! [X78] : (leq(multiplication(one,star(one)),star(X78))) )), 172.08/24.78 inference(subsumption_resolution,[],[f301074,f68])). 172.08/24.78 fof(f301074,plain,( 172.08/24.78 ( ! [X78] : (~leq(star(X78),star(X78)) | leq(multiplication(one,star(one)),star(X78))) )), 172.08/24.78 inference(superposition,[],[f297032,f14866])). 172.08/24.78 fof(f14866,plain,( 172.08/24.78 ( ! [X160] : (star(X160) = addition(star(X160),one)) )), 172.08/24.78 inference(forward_demodulation,[],[f14807,f54])). 172.08/24.78 fof(f14807,plain,( 172.08/24.78 ( ! [X160] : (addition(star(X160),one) = addition(zero,star(X160))) )), 172.08/24.78 inference(superposition,[],[f784,f14582])). 172.08/24.78 fof(f297032,plain,( 172.08/24.78 ( ! [X2,X3] : (~leq(addition(X2,X3),X2) | leq(multiplication(X3,star(one)),X2)) )), 172.08/24.78 inference(superposition,[],[f47,f35])). 172.08/24.78 fof(f301198,plain,( 172.08/24.78 ~spl0_7 | spl0_15), 172.08/24.78 inference(avatar_contradiction_clause,[],[f301197])). 172.08/24.78 fof(f301197,plain,( 172.08/24.78 $false | (~spl0_7 | spl0_15)), 172.08/24.78 inference(subsumption_resolution,[],[f301196,f2187])). 172.08/24.78 fof(f2187,plain,( 172.08/24.78 ~leq(star(one),one) | spl0_15), 172.08/24.78 inference(avatar_component_clause,[],[f2186])). 172.08/24.78 fof(f300719,plain,( 172.08/24.78 ~spl0_22 | spl0_20), 172.08/24.78 inference(avatar_split_clause,[],[f300714,f300695,f300716])). 172.08/24.78 fof(f300716,plain,( 172.08/24.78 spl0_22 <=> one = zero), 172.08/24.78 introduced(avatar_definition,[new_symbols(naming,[spl0_22])])). 172.08/24.78 fof(f300714,plain,( 172.08/24.78 one != zero | spl0_20), 172.08/24.78 inference(resolution,[],[f300697,f62])). 172.08/24.78 fof(f62,plain,( 172.08/24.78 ( ! [X0] : (leq(X0,zero) | zero != X0) )), 172.08/24.78 inference(superposition,[],[f41,f34])). 172.08/24.78 fof(f300701,plain,( 172.08/24.78 ~spl0_20 | spl0_21), 172.08/24.78 inference(avatar_split_clause,[],[f300679,f300699,f300695])). 172.08/24.78 fof(f300699,plain,( 172.08/24.78 spl0_21 <=> ! [X0] : leq(star(X0),zero)), 172.08/24.78 introduced(avatar_definition,[new_symbols(naming,[spl0_21])])). 172.08/24.78 fof(f300679,plain,( 172.08/24.78 ( ! [X0] : (leq(star(X0),zero) | ~leq(one,zero)) )), 172.08/24.78 inference(superposition,[],[f297116,f36])). 172.08/24.78 fof(f297116,plain,( 172.08/24.78 ( ! [X50,X51] : (leq(multiplication(X51,star(X50)),zero) | ~leq(X51,zero)) )), 172.08/24.78 inference(forward_demodulation,[],[f297053,f54])). 172.08/24.78 fof(f297053,plain,( 172.08/24.78 ( ! [X50,X51] : (~leq(addition(zero,X51),zero) | leq(multiplication(X51,star(X50)),zero)) )), 172.08/24.78 inference(superposition,[],[f47,f33])). 172.08/24.78 fof(f33,plain,( 172.08/24.78 ( ! [X0] : (zero = multiplication(zero,X0)) )), 172.08/24.78 inference(cnf_transformation,[],[f6])). 172.08/24.78 fof(f6,axiom,( 172.08/24.78 ! [X0] : zero = multiplication(zero,X0)), 172.08/24.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation)). 172.08/24.78 fof(f297177,plain,( 172.08/24.78 spl0_19 | ~spl0_6), 172.08/24.78 inference(avatar_split_clause,[],[f297172,f110,f297174])). 172.08/24.78 fof(f297174,plain,( 172.08/24.78 spl0_19 <=> one = addition(star(zero),one)), 172.08/24.78 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])). 172.08/24.78 fof(f110,plain,( 172.08/24.78 spl0_6 <=> leq(star(zero),one)), 172.08/24.78 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 172.08/24.78 fof(f297172,plain,( 172.08/24.78 one = addition(star(zero),one) | ~spl0_6), 172.08/24.78 inference(resolution,[],[f112,f42])). 172.08/24.78 fof(f112,plain,( 172.08/24.78 leq(star(zero),one) | ~spl0_6), 172.08/24.78 inference(avatar_component_clause,[],[f110])). 172.08/24.78 fof(f297171,plain,( 172.08/24.78 spl0_6), 172.08/24.78 inference(avatar_contradiction_clause,[],[f297170])). 172.08/24.78 fof(f297170,plain,( 172.08/24.78 $false | spl0_6), 172.08/24.78 inference(subsumption_resolution,[],[f297168,f68])). 172.08/24.78 fof(f297168,plain,( 172.08/24.78 ~leq(one,one) | spl0_6), 172.08/24.78 inference(resolution,[],[f297141,f111])). 172.08/24.78 fof(f111,plain,( 172.08/24.78 ~leq(star(zero),one) | spl0_6), 172.08/24.78 inference(avatar_component_clause,[],[f110])). 172.08/24.78 fof(f297141,plain,( 172.08/24.78 ( ! [X0] : (leq(star(zero),X0) | ~leq(one,X0)) )), 172.08/24.78 inference(superposition,[],[f297111,f36])). 172.08/24.78 fof(f297111,plain,( 172.08/24.78 ( ! [X0,X1] : (leq(multiplication(X1,star(zero)),X0) | ~leq(X1,X0)) )), 172.08/24.78 inference(forward_demodulation,[],[f297031,f54])). 172.08/24.78 fof(f297031,plain,( 172.08/24.78 ( ! [X0,X1] : (~leq(addition(zero,X1),X0) | leq(multiplication(X1,star(zero)),X0)) )), 172.08/24.78 inference(superposition,[],[f47,f32])). 172.08/24.78 fof(f2288,plain,( 172.08/24.78 ~spl0_18 | ~spl0_10 | spl0_12), 172.08/24.78 inference(avatar_split_clause,[],[f2283,f2111,f2078,f2285])). 172.08/24.78 fof(f2285,plain,( 172.08/24.78 spl0_18 <=> zero = addition(star(one),one)), 172.08/24.78 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])). 172.08/24.78 fof(f2078,plain,( 172.08/24.78 spl0_10 <=> star(one) = addition(one,star(one))), 172.08/24.78 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 172.08/24.78 fof(f2111,plain,( 172.08/24.78 spl0_12 <=> leq(star(one),zero)), 172.08/24.78 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])). 172.08/24.78 fof(f2283,plain,( 172.08/24.78 zero != addition(star(one),one) | (~spl0_10 | spl0_12)), 172.08/24.78 inference(subsumption_resolution,[],[f2268,f2112])). 172.08/24.78 fof(f2112,plain,( 172.08/24.78 ~leq(star(one),zero) | spl0_12), 172.08/24.78 inference(avatar_component_clause,[],[f2111])). 172.08/24.78 fof(f2268,plain,( 172.08/24.78 leq(star(one),zero) | zero != addition(star(one),one) | ~spl0_10), 172.08/24.78 inference(superposition,[],[f988,f2080])). 172.08/24.78 fof(f2080,plain,( 172.08/24.78 star(one) = addition(one,star(one)) | ~spl0_10), 172.08/24.78 inference(avatar_component_clause,[],[f2078])). 172.08/24.78 fof(f988,plain,( 172.08/24.78 ( ! [X45,X46] : (leq(addition(X45,X46),zero) | zero != addition(X46,X45)) )), 172.08/24.78 inference(superposition,[],[f64,f784])). 172.08/24.78 fof(f2202,plain,( 172.08/24.78 ~spl0_16 | spl0_15 | ~spl0_9), 172.08/24.78 inference(avatar_split_clause,[],[f2162,f2073,f2186,f2190])). 172.08/24.78 fof(f2190,plain,( 172.08/24.78 spl0_16 <=> one = star(one)), 172.08/24.78 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])). 172.08/24.78 fof(f2073,plain,( 172.08/24.78 spl0_9 <=> star(one) = addition(star(one),one)), 172.08/24.78 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])). 172.08/24.79 fof(f2162,plain,( 172.08/24.79 leq(star(one),one) | one != star(one) | ~spl0_9), 172.08/24.79 inference(superposition,[],[f239,f2075])). 172.08/24.79 fof(f2075,plain,( 172.08/24.79 star(one) = addition(star(one),one) | ~spl0_9), 172.08/24.79 inference(avatar_component_clause,[],[f2073])). 172.08/24.79 fof(f239,plain,( 172.08/24.79 ( ! [X14,X15] : (leq(addition(X15,X14),X14) | addition(X15,X14) != X14) )), 172.08/24.79 inference(superposition,[],[f64,f142])). 172.08/24.79 fof(f2201,plain,( 172.08/24.79 spl0_17 | ~spl0_9), 172.08/24.79 inference(avatar_split_clause,[],[f2155,f2073,f2195])). 172.08/24.79 fof(f2195,plain,( 172.08/24.79 spl0_17 <=> leq(one,star(one))), 172.08/24.79 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])). 172.08/24.79 fof(f2155,plain,( 172.08/24.79 leq(one,star(one)) | ~spl0_9), 172.08/24.79 inference(superposition,[],[f161,f2075])). 172.08/24.79 fof(f2198,plain,( 172.08/24.79 spl0_17 | ~spl0_9), 172.08/24.79 inference(avatar_split_clause,[],[f2184,f2073,f2195])). 172.08/24.79 fof(f2184,plain,( 172.08/24.79 leq(one,star(one)) | ~spl0_9), 172.08/24.79 inference(trivial_inequality_removal,[],[f2147])). 172.08/24.79 fof(f2147,plain,( 172.08/24.79 star(one) != star(one) | leq(one,star(one)) | ~spl0_9), 172.08/24.79 inference(superposition,[],[f64,f2075])). 172.08/24.79 fof(f2193,plain,( 172.08/24.79 spl0_15 | ~spl0_16 | ~spl0_9), 172.08/24.79 inference(avatar_split_clause,[],[f2145,f2073,f2190,f2186])). 172.08/24.79 fof(f2145,plain,( 172.08/24.79 one != star(one) | leq(star(one),one) | ~spl0_9), 172.08/24.79 inference(superposition,[],[f41,f2075])). 172.08/24.79 fof(f2138,plain,( 172.08/24.79 ~spl0_14 | spl0_12), 172.08/24.79 inference(avatar_split_clause,[],[f2133,f2111,f2135])). 172.08/24.79 fof(f2135,plain,( 172.08/24.79 spl0_14 <=> zero = star(one)), 172.08/24.79 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])). 172.08/24.79 fof(f2133,plain,( 172.08/24.79 zero != star(one) | spl0_12), 172.08/24.79 inference(resolution,[],[f2112,f62])). 172.08/24.79 fof(f2123,plain,( 172.08/24.79 spl0_11 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2122,f102,f2083])). 172.08/24.79 fof(f2083,plain,( 172.08/24.79 spl0_11 <=> star(one) = addition(star(one),addition(one,star(one)))), 172.08/24.79 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])). 172.08/24.79 fof(f102,plain,( 172.08/24.79 spl0_5 <=> star(one) = addition(addition(one,star(one)),star(one))), 172.08/24.79 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 172.08/24.79 fof(f2122,plain,( 172.08/24.79 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 172.08/24.79 inference(forward_demodulation,[],[f2068,f37])). 172.08/24.79 fof(f2068,plain,( 172.08/24.79 addition(star(one),addition(one,star(one))) = addition(star(one),star(one)) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f1172,f104])). 172.08/24.79 fof(f104,plain,( 172.08/24.79 star(one) = addition(addition(one,star(one)),star(one)) | ~spl0_5), 172.08/24.79 inference(avatar_component_clause,[],[f102])). 172.08/24.79 fof(f1172,plain,( 172.08/24.79 ( ! [X8,X7] : (addition(X7,X8) = addition(addition(X8,X7),X7)) )), 172.08/24.79 inference(forward_demodulation,[],[f1102,f286])). 172.08/24.79 fof(f286,plain,( 172.08/24.79 ( ! [X0,X1] : (addition(X1,X0) = addition(addition(X0,X1),addition(X1,X0))) )), 172.08/24.79 inference(resolution,[],[f271,f42])). 172.08/24.79 fof(f271,plain,( 172.08/24.79 ( ! [X2,X3] : (leq(addition(X2,X3),addition(X3,X2))) )), 172.08/24.79 inference(superposition,[],[f166,f142])). 172.08/24.79 fof(f166,plain,( 172.08/24.79 ( ! [X10,X8,X9] : (leq(addition(X8,X9),addition(X8,addition(X9,X10)))) )), 172.08/24.79 inference(superposition,[],[f154,f43])). 172.08/24.79 fof(f1102,plain,( 172.08/24.79 ( ! [X8,X7] : (addition(addition(X8,X7),X7) = addition(addition(X8,X7),addition(X7,X8))) )), 172.08/24.79 inference(superposition,[],[f785,f785])). 172.08/24.79 fof(f785,plain,( 172.08/24.79 ( ! [X0,X1] : (addition(X0,X1) = addition(X0,addition(X1,X0))) )), 172.08/24.79 inference(superposition,[],[f131,f123])). 172.08/24.79 fof(f2121,plain,( 172.08/24.79 spl0_11 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2120,f102,f2083])). 172.08/24.79 fof(f2120,plain,( 172.08/24.79 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 172.08/24.79 inference(forward_demodulation,[],[f2066,f34])). 172.08/24.79 fof(f2066,plain,( 172.08/24.79 addition(star(one),addition(one,star(one))) = addition(star(one),zero) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f1024,f104])). 172.08/24.79 fof(f1024,plain,( 172.08/24.79 ( ! [X24,X23] : (addition(X24,X23) = addition(addition(X23,X24),zero)) )), 172.08/24.79 inference(forward_demodulation,[],[f962,f54])). 172.08/24.79 fof(f962,plain,( 172.08/24.79 ( ! [X24,X23] : (addition(addition(X23,X24),zero) = addition(zero,addition(X24,X23))) )), 172.08/24.79 inference(superposition,[],[f784,f784])). 172.08/24.79 fof(f2119,plain,( 172.08/24.79 spl0_11 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2064,f102,f2083])). 172.08/24.79 fof(f2064,plain,( 172.08/24.79 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f1014,f104])). 172.08/24.79 fof(f1014,plain,( 172.08/24.79 ( ! [X6,X5] : (addition(X5,X6) = addition(addition(X5,X6),X5)) )), 172.08/24.79 inference(forward_demodulation,[],[f954,f54])). 172.08/24.79 fof(f954,plain,( 172.08/24.79 ( ! [X6,X5] : (addition(addition(X5,X6),X5) = addition(zero,addition(X5,X6))) )), 172.08/24.79 inference(superposition,[],[f784,f123])). 172.08/24.79 fof(f2118,plain,( 172.08/24.79 spl0_12 | ~spl0_13 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2109,f102,f2115,f2111])). 172.08/24.79 fof(f2115,plain,( 172.08/24.79 spl0_13 <=> zero = addition(one,star(one))), 172.08/24.79 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])). 172.08/24.79 fof(f2109,plain,( 172.08/24.79 zero != addition(one,star(one)) | leq(star(one),zero) | ~spl0_5), 172.08/24.79 inference(forward_demodulation,[],[f2108,f37])). 172.08/24.79 fof(f2108,plain,( 172.08/24.79 zero != addition(one,addition(star(one),star(one))) | leq(star(one),zero) | ~spl0_5), 172.08/24.79 inference(forward_demodulation,[],[f2063,f131])). 172.08/24.79 fof(f2063,plain,( 172.08/24.79 leq(star(one),zero) | zero != addition(star(one),addition(one,star(one))) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f988,f104])). 172.08/24.79 fof(f2107,plain,( 172.08/24.79 spl0_11 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2106,f102,f2083])). 172.08/24.79 fof(f2106,plain,( 172.08/24.79 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 172.08/24.79 inference(forward_demodulation,[],[f2062,f37])). 172.08/24.79 fof(f2062,plain,( 172.08/24.79 addition(star(one),addition(one,star(one))) = addition(star(one),star(one)) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f785,f104])). 172.08/24.79 fof(f2105,plain,( 172.08/24.79 spl0_11 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2104,f102,f2083])). 172.08/24.79 fof(f2104,plain,( 172.08/24.79 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 172.08/24.79 inference(forward_demodulation,[],[f2061,f54])). 172.08/24.79 fof(f2061,plain,( 172.08/24.79 addition(star(one),addition(one,star(one))) = addition(zero,star(one)) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f784,f104])). 172.08/24.79 fof(f2097,plain,( 172.08/24.79 spl0_11 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2031,f102,f2083])). 172.08/24.79 fof(f2031,plain,( 172.08/24.79 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f40,f104])). 172.08/24.79 fof(f2096,plain,( 172.08/24.79 spl0_11 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2030,f102,f2083])). 172.08/24.79 fof(f2030,plain,( 172.08/24.79 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f40,f104])). 172.08/24.79 fof(f2095,plain,( 172.08/24.79 spl0_10 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2094,f102,f2078])). 172.08/24.79 fof(f2094,plain,( 172.08/24.79 star(one) = addition(one,star(one)) | ~spl0_5), 172.08/24.79 inference(forward_demodulation,[],[f2029,f37])). 172.08/24.79 fof(f2029,plain,( 172.08/24.79 star(one) = addition(one,addition(star(one),star(one))) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f43,f104])). 172.08/24.79 fof(f2093,plain,( 172.08/24.79 spl0_11 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2028,f102,f2083])). 172.08/24.79 fof(f2028,plain,( 172.08/24.79 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f124,f104])). 172.08/24.79 fof(f2092,plain,( 172.08/24.79 spl0_10 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2027,f102,f2078])). 172.08/24.79 fof(f2027,plain,( 172.08/24.79 star(one) = addition(one,star(one)) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f1015,f104])). 172.08/24.79 fof(f1015,plain,( 172.08/24.79 ( ! [X8,X7] : (addition(X8,X7) = addition(addition(X8,X7),X7)) )), 172.08/24.79 inference(forward_demodulation,[],[f955,f54])). 172.08/24.79 fof(f955,plain,( 172.08/24.79 ( ! [X8,X7] : (addition(addition(X8,X7),X7) = addition(zero,addition(X8,X7))) )), 172.08/24.79 inference(superposition,[],[f784,f142])). 172.08/24.79 fof(f2091,plain,( 172.08/24.79 spl0_9 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2026,f102,f2073])). 172.08/24.79 fof(f2026,plain,( 172.08/24.79 star(one) = addition(star(one),one) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f1172,f104])). 172.08/24.79 fof(f2090,plain,( 172.08/24.79 spl0_11 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2025,f102,f2083])). 172.08/24.79 fof(f2025,plain,( 172.08/24.79 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f104,f40])). 172.08/24.79 fof(f2089,plain,( 172.08/24.79 spl0_11 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2024,f102,f2083])). 172.08/24.79 fof(f2024,plain,( 172.08/24.79 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f104,f40])). 172.08/24.79 fof(f2088,plain,( 172.08/24.79 spl0_10 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2087,f102,f2078])). 172.08/24.79 fof(f2087,plain,( 172.08/24.79 star(one) = addition(one,star(one)) | ~spl0_5), 172.08/24.79 inference(forward_demodulation,[],[f2023,f37])). 172.08/24.79 fof(f2023,plain,( 172.08/24.79 star(one) = addition(one,addition(star(one),star(one))) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f104,f43])). 172.08/24.79 fof(f2086,plain,( 172.08/24.79 spl0_11 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2022,f102,f2083])). 172.08/24.79 fof(f2022,plain,( 172.08/24.79 star(one) = addition(star(one),addition(one,star(one))) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f104,f124])). 172.08/24.79 fof(f2081,plain,( 172.08/24.79 spl0_10 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2021,f102,f2078])). 172.08/24.79 fof(f2021,plain,( 172.08/24.79 star(one) = addition(one,star(one)) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f104,f1015])). 172.08/24.79 fof(f2076,plain,( 172.08/24.79 spl0_9 | ~spl0_5), 172.08/24.79 inference(avatar_split_clause,[],[f2020,f102,f2073])). 172.08/24.79 fof(f2020,plain,( 172.08/24.79 star(one) = addition(star(one),one) | ~spl0_5), 172.08/24.79 inference(superposition,[],[f104,f1172])). 172.08/24.79 fof(f1023,plain,( 172.08/24.79 spl0_8 | ~spl0_4), 172.08/24.79 inference(avatar_split_clause,[],[f1018,f96,f1020])). 172.08/24.79 fof(f1020,plain,( 172.08/24.79 spl0_8 <=> star(zero) = addition(star(zero),one)), 172.08/24.79 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 172.08/24.79 fof(f96,plain,( 172.08/24.79 spl0_4 <=> star(zero) = addition(one,star(zero))), 172.08/24.79 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 172.08/24.79 fof(f1018,plain,( 172.08/24.79 star(zero) = addition(star(zero),one) | ~spl0_4), 172.08/24.79 inference(forward_demodulation,[],[f958,f54])). 172.08/24.79 fof(f958,plain,( 172.08/24.79 addition(star(zero),one) = addition(zero,star(zero)) | ~spl0_4), 172.08/24.79 inference(superposition,[],[f784,f98])). 172.08/24.79 fof(f98,plain,( 172.08/24.79 star(zero) = addition(one,star(zero)) | ~spl0_4), 172.08/24.79 inference(avatar_component_clause,[],[f96])). 172.08/24.79 fof(f117,plain,( 172.08/24.79 spl0_6 | ~spl0_7 | ~spl0_4), 172.08/24.79 inference(avatar_split_clause,[],[f106,f96,f114,f110])). 172.08/24.79 fof(f106,plain,( 172.08/24.79 one != star(zero) | leq(star(zero),one) | ~spl0_4), 172.08/24.79 inference(superposition,[],[f64,f98])). 172.08/24.79 fof(f105,plain,( 172.08/24.79 spl0_5 | ~spl0_3), 172.08/24.79 inference(avatar_split_clause,[],[f100,f90,f102])). 172.08/24.79 fof(f90,plain,( 172.08/24.79 spl0_3 <=> leq(addition(one,star(one)),star(one))), 172.08/24.79 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 172.08/24.79 fof(f100,plain,( 172.08/24.79 star(one) = addition(addition(one,star(one)),star(one)) | ~spl0_3), 172.08/24.79 inference(resolution,[],[f92,f42])). 172.08/24.79 fof(f92,plain,( 172.08/24.79 leq(addition(one,star(one)),star(one)) | ~spl0_3), 172.08/24.79 inference(avatar_component_clause,[],[f90])). 172.08/24.79 fof(f99,plain,( 172.08/24.79 spl0_4 | ~spl0_2), 172.08/24.79 inference(avatar_split_clause,[],[f94,f85,f96])). 172.08/24.79 fof(f85,plain,( 172.08/24.79 spl0_2 <=> leq(one,star(zero))), 172.08/24.79 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 172.08/24.79 fof(f94,plain,( 172.08/24.79 star(zero) = addition(one,star(zero)) | ~spl0_2), 172.08/24.79 inference(resolution,[],[f87,f42])). 172.08/24.79 fof(f87,plain,( 172.08/24.79 leq(one,star(zero)) | ~spl0_2), 172.08/24.79 inference(avatar_component_clause,[],[f85])). 172.08/24.79 fof(f93,plain,( 172.08/24.79 spl0_3), 172.08/24.79 inference(avatar_split_clause,[],[f82,f90])). 172.08/24.79 fof(f82,plain,( 172.08/24.79 leq(addition(one,star(one)),star(one))), 172.08/24.79 inference(superposition,[],[f38,f36])). 172.08/24.79 fof(f88,plain,( 172.08/24.79 spl0_2), 172.08/24.79 inference(avatar_split_clause,[],[f83,f85])). 172.08/24.79 fof(f83,plain,( 172.08/24.79 leq(one,star(zero))), 172.08/24.79 inference(forward_demodulation,[],[f81,f34])). 172.08/24.79 fof(f81,plain,( 172.08/24.79 leq(addition(one,zero),star(zero))), 172.08/24.79 inference(superposition,[],[f38,f33])). 172.08/24.79 fof(f53,plain,( 172.08/24.79 ~spl0_1), 172.08/24.79 inference(avatar_split_clause,[],[f31,f50])). 172.08/24.79 fof(f31,plain,( 172.08/24.79 ~leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a))), 172.08/24.79 inference(cnf_transformation,[],[f19])). 172.08/24.79 fof(f19,plain,( 172.08/24.79 ~leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a))), 172.08/24.79 inference(flattening,[],[f18])). 172.08/24.79 fof(f18,negated_conjecture,( 172.08/24.79 ~leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a))), 172.08/24.79 inference(negated_conjecture,[],[f17])). 172.08/24.79 fof(f17,conjecture,( 172.08/24.79 leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a))), 172.08/24.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a)). 172.08/24.79 % SZS output end Proof for theBenchmark 172.08/24.79 % (29759)------------------------------ 172.08/24.79 % (29759)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 172.08/24.79 % (29759)Termination reason: Refutation 172.08/24.79 172.08/24.79 % (29759)Memory used [KB]: 408863 172.08/24.79 % (29759)Time elapsed: 24.394 s 172.08/24.79 % (29759)------------------------------ 172.08/24.79 % (29759)------------------------------ 172.08/24.82 % (29751)Success in time 24.44 s 172.08/24.90 EOF