0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_vampire %s %d 0.09/0.30 % Computer : n009.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.31 % WCLimit : 120 0.09/0.31 % DateTime : Thu Jul 2 08:27:21 EDT 2020 0.09/0.31 % CPUTime : 0.16/0.45 % (1793)dis+11_1_acc=on:afp=1000:afq=1.4:amm=sco:anc=all_dependent:bs=on:ccuc=small_ones:cond=fast:fde=none:gsp=input_only:nm=64:nwc=1:sac=on:urr=ec_only:updr=off:uhcvi=on_105 on theBenchmark 0.16/0.45 % (1799)dis+1011_4_av=off:cond=on:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark 0.16/0.45 % (1792)dis+10_3_add=large:afp=10000:afq=1.0:amm=sco:anc=none:gsp=input_only:gs=on:gsem=off:lcm=reverse:nwc=1:sos=on_6 on theBenchmark 0.16/0.45 % (1792)Refutation not found, incomplete strategy% (1792)------------------------------ 0.16/0.45 % (1792)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.16/0.45 % (1792)Termination reason: Refutation not found, incomplete strategy 0.16/0.45 0.16/0.45 % (1792)Memory used [KB]: 10746 0.16/0.45 % (1792)Time elapsed: 0.074 s 0.16/0.45 % (1792)------------------------------ 0.16/0.45 % (1792)------------------------------ 0.16/0.46 % (1802)lrs+1_5:1_afr=on:afp=100000:afq=2.0:amm=off:anc=none:bd=off:fde=none:gs=on:gsaa=full_model:gsem=on:irw=on:lwlo=on:nm=0:nwc=2.5:stl=30:sp=occurrence:uhcvi=on_42 on theBenchmark 0.16/0.46 % (1819)lrs+10_24_add=off:afr=on:afp=1000:afq=1.4:anc=none:bs=unit_only:gs=on:gsaa=from_current:gsem=on:lma=on:nm=2:nwc=1.1:stl=60:sac=on:uhcvi=on_364 on theBenchmark 0.16/0.46 % (1811)lrs+4_24_av=off:bd=preordered:bsr=on:irw=on:lma=on:lwlo=on:nm=64:newcnf=on:nwc=1.1:stl=30:sos=theory:updr=off:uhcvi=on_220 on theBenchmark 0.16/0.46 % (1797)lrs+1011_8_add=large:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark 0.16/0.47 % (1796)lrs+1_4:1_awrs=converge:awrsf=128:av=off:cond=fast:fde=none:gsp=input_only:gs=on:gsem=on:lcm=predicate:lwlo=on:nm=4:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:s2a=on:st=2.0:sos=on_27 on theBenchmark 0.16/0.48 % (1816)dis+2_128_add=large:afp=100000:afq=1.4:amm=sco:anc=none:lma=on:nm=2:newcnf=on:nwc=1:nicw=on:sas=z3:sos=theory:sac=on:updr=off_288 on theBenchmark 0.16/0.48 % (1808)lrs+4_5:4_av=off:bd=off:er=filter:lma=on:lwlo=on:nwc=1:stl=30:sp=occurrence:updr=off_230 on theBenchmark 0.16/0.48 % (1800)lrs+1002_4:1_aac=none:add=off:afr=on:afp=40000:afq=1.0:amm=off:anc=none:cond=on:fsr=off:fde=none:gs=on:gsaa=full_model:lma=on:nm=16:nwc=1:sas=z3:stl=30:sd=7:ss=axioms:sos=on:sp=occurrence:updr=off:uhcvi=on_85 on theBenchmark 0.16/0.48 % (1806)dis+1011_3_awrs=decay:awrsf=32:afp=10000:afq=1.1:amm=off:anc=none:cond=fast:ep=RSTC:fde=unused:lma=on:nm=16:nwc=2.5:s2a=on:sac=on:sp=frequency:urr=ec_only_2 on theBenchmark 0.16/0.48 % (1791)dis+10_1_add=off:afp=4000:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on_2 on theBenchmark 0.16/0.49 % (1805)ott-3_4:1_awrs=converge:awrsf=2:acc=model:add=large:afr=on:afp=40000:afq=1.2:anc=none:ccuc=small_ones:fde=unused:gsp=input_only:irw=on:nm=0:nwc=4:sd=4:ss=axioms:s2a=on:st=1.2:sos=on:urr=on:updr=off:uhcvi=on_2 on theBenchmark 0.16/0.49 % (1810)dis+1010_3:1_av=off:gsp=input_only:nm=6:nwc=1:sos=all:sp=occurrence_48 on theBenchmark 0.16/0.49 % (1809)lrs+1002_1_add=large:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:sas=z3:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_145 on theBenchmark 0.16/0.49 % (1795)dis+1002_6_add=large:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_7 on theBenchmark 0.16/0.50 % (1794)lrs+11_20_av=off:bs=unit_only:bsr=on:bce=on:cond=on:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=theory:sp=reverse_arity:uhcvi=on_92 on theBenchmark 0.16/0.50 % (1798)lrs+4_3_av=off:br=off:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark 0.16/0.51 % (1812)dis+1010_5_add=large:afp=10000:afq=1.2:amm=off:bs=unit_only:bsr=on:bce=on:cond=fast:fsr=off:fde=none:gsp=input_only:gs=on:irw=on:lma=on:nm=4:newcnf=on:nwc=1.3:nicw=on:sos=all:sac=on:updr=off_34 on theBenchmark 0.16/0.51 % (1810)Refutation not found, incomplete strategy% (1810)------------------------------ 0.16/0.51 % (1810)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.16/0.51 % (1810)Termination reason: Refutation not found, incomplete strategy 0.16/0.51 0.16/0.51 % (1810)Memory used [KB]: 1663 0.16/0.51 % (1810)Time elapsed: 0.118 s 0.16/0.51 % (1810)------------------------------ 0.16/0.51 % (1810)------------------------------ 0.16/0.52 % (1815)ott+11_8:1_acc=model:afp=1000:afq=1.0:anc=none:bd=off:bsr=on:cond=on:gs=on:gsem=off:irw=on:lma=on:nm=16:nwc=1.5:sac=on:sp=occurrence:urr=on_104 on theBenchmark 0.16/0.52 % (1803)lrs+1011_2:3_add=large:afr=on:afp=100000:afq=1.2:anc=none:gs=on:gsem=off:irw=on:nm=64:nwc=1:stl=30:sd=3:ss=axioms:sos=all:sp=reverse_arity_48 on theBenchmark 0.16/0.52 % (1793)Refutation found. Thanks to Tanya! 0.16/0.52 % SZS status Theorem for theBenchmark 0.16/0.52 % (1807)lrs-2_6_acc=on:afp=40000:afq=1.2:amm=sco:anc=none:bs=on:bsr=on:cond=on:fsr=off:fde=none:lcm=reverse:lma=on:nm=32:newcnf=on:nwc=2.5:nicw=on:stl=30:sp=reverse_arity:urr=ec_only_162 on theBenchmark 0.16/0.52 % SZS output start Proof for theBenchmark 0.16/0.52 fof(f1125,plain,( 0.16/0.52 $false), 0.16/0.52 inference(avatar_sat_refutation,[],[f121,f148,f157,f181,f185,f196,f216,f330,f338,f355,f394,f806,f815,f1124])). 0.16/0.52 fof(f1124,plain,( 0.16/0.52 ~spl26_9 | ~spl26_22 | ~spl26_30), 0.16/0.52 inference(avatar_contradiction_clause,[],[f1118])). 0.16/0.52 fof(f1118,plain,( 0.16/0.52 $false | (~spl26_9 | ~spl26_22 | ~spl26_30)), 0.16/0.52 inference(unit_resulting_resolution,[],[f195,f814,f393,f1049,f116])). 0.16/0.52 fof(f116,plain,( 0.16/0.52 ( ! [X6,X5,X1] : (~sP25(X5) | ~sP21(X6) | ~sP23(X1) | ~r3(X6,X5,X1)) )), 0.16/0.52 inference(general_splitting,[],[f114,f115_D])). 0.16/0.52 fof(f115,plain,( 0.16/0.52 ( ! [X8,X5] : (~sP24(X8) | ~r2(X8,X5) | sP25(X5)) )), 0.16/0.52 inference(cnf_transformation,[],[f115_D])). 0.16/0.52 fof(f115_D,plain,( 0.16/0.52 ( ! [X5] : (( ! [X8] : (~sP24(X8) | ~r2(X8,X5)) ) <=> ~sP25(X5)) )), 0.16/0.52 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])])). 0.16/0.52 fof(f114,plain,( 0.16/0.52 ( ! [X6,X8,X5,X1] : (~r3(X6,X5,X1) | ~r2(X8,X5) | ~sP21(X6) | ~sP23(X1) | ~sP24(X8)) )), 0.16/0.52 inference(general_splitting,[],[f112,f113_D])). 0.16/0.52 fof(f113,plain,( 0.16/0.52 ( ! [X8,X9] : (~r1(X9) | ~r2(X9,X8) | sP24(X8)) )), 0.16/0.52 inference(cnf_transformation,[],[f113_D])). 0.16/0.52 fof(f113_D,plain,( 0.16/0.52 ( ! [X8] : (( ! [X9] : (~r1(X9) | ~r2(X9,X8)) ) <=> ~sP24(X8)) )), 0.16/0.52 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])])). 0.16/0.52 fof(f112,plain,( 0.16/0.52 ( ! [X6,X8,X5,X1,X9] : (~r3(X6,X5,X1) | ~r2(X8,X5) | ~r2(X9,X8) | ~r1(X9) | ~sP21(X6) | ~sP23(X1)) )), 0.16/0.52 inference(general_splitting,[],[f110,f111_D])). 0.16/0.52 fof(f111,plain,( 0.16/0.52 ( ! [X2,X1] : (~sP22(X2) | ~r2(X2,X1) | sP23(X1)) )), 0.16/0.52 inference(cnf_transformation,[],[f111_D])). 0.16/0.52 fof(f111_D,plain,( 0.16/0.52 ( ! [X1] : (( ! [X2] : (~sP22(X2) | ~r2(X2,X1)) ) <=> ~sP23(X1)) )), 0.16/0.52 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])])). 0.16/0.52 fof(f110,plain,( 0.16/0.52 ( ! [X6,X2,X8,X5,X1,X9] : (~r2(X2,X1) | ~r3(X6,X5,X1) | ~r2(X8,X5) | ~r2(X9,X8) | ~r1(X9) | ~sP21(X6) | ~sP22(X2)) )), 0.16/0.52 inference(general_splitting,[],[f108,f109_D])). 0.16/0.52 fof(f109,plain,( 0.16/0.52 ( ! [X2,X3] : (~sP20(X3) | ~r2(X3,X2) | sP22(X2)) )), 0.16/0.52 inference(cnf_transformation,[],[f109_D])). 0.16/0.52 fof(f109_D,plain,( 0.16/0.52 ( ! [X2] : (( ! [X3] : (~sP20(X3) | ~r2(X3,X2)) ) <=> ~sP22(X2)) )), 0.16/0.52 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])])). 0.16/0.52 fof(f108,plain,( 0.16/0.52 ( ! [X6,X2,X8,X5,X3,X1,X9] : (~r2(X2,X1) | ~r2(X3,X2) | ~r3(X6,X5,X1) | ~r2(X8,X5) | ~r2(X9,X8) | ~r1(X9) | ~sP20(X3) | ~sP21(X6)) )), 0.16/0.52 inference(general_splitting,[],[f106,f107_D])). 0.16/0.52 fof(f107,plain,( 0.16/0.52 ( ! [X6,X7] : (~r1(X7) | ~r2(X7,X6) | sP21(X6)) )), 0.16/0.52 inference(cnf_transformation,[],[f107_D])). 0.16/0.52 fof(f107_D,plain,( 0.16/0.52 ( ! [X6] : (( ! [X7] : (~r1(X7) | ~r2(X7,X6)) ) <=> ~sP21(X6)) )), 0.16/0.52 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])])). 0.16/0.52 fof(f106,plain,( 0.16/0.52 ( ! [X6,X2,X8,X7,X5,X3,X1,X9] : (~r2(X2,X1) | ~r2(X3,X2) | ~r2(X7,X6) | ~r1(X7) | ~r3(X6,X5,X1) | ~r2(X8,X5) | ~r2(X9,X8) | ~r1(X9) | ~sP20(X3)) )), 0.16/0.52 inference(general_splitting,[],[f94,f105_D])). 0.16/0.52 fof(f105,plain,( 0.16/0.52 ( ! [X4,X3] : (~r1(X4) | ~r2(X4,X3) | sP20(X3)) )), 0.16/0.52 inference(cnf_transformation,[],[f105_D])). 0.16/0.52 fof(f105_D,plain,( 0.16/0.52 ( ! [X3] : (( ! [X4] : (~r1(X4) | ~r2(X4,X3)) ) <=> ~sP20(X3)) )), 0.16/0.52 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])])). 0.16/0.52 fof(f94,plain,( 0.16/0.52 ( ! [X6,X4,X2,X8,X7,X5,X3,X1,X9] : (~r2(X2,X1) | ~r2(X3,X2) | ~r1(X4) | ~r2(X4,X3) | ~r2(X7,X6) | ~r1(X7) | ~r3(X6,X5,X1) | ~r2(X8,X5) | ~r2(X9,X8) | ~r1(X9)) )), 0.16/0.52 inference(equality_resolution,[],[f54])). 0.16/0.52 fof(f54,plain,( 0.16/0.52 ( ! [X6,X4,X2,X0,X8,X7,X5,X3,X1,X9] : (~r2(X2,X1) | ~r2(X3,X2) | ~r1(X4) | ~r2(X4,X3) | X0 != X1 | ~r2(X7,X6) | ~r1(X7) | ~r3(X6,X5,X0) | ~r2(X8,X5) | ~r2(X9,X8) | ~r1(X9)) )), 0.16/0.52 inference(cnf_transformation,[],[f25])). 0.16/0.52 fof(f25,plain,( 0.16/0.52 ! [X0] : (! [X1] : (! [X2] : (~r2(X2,X1) | ! [X3] : (~r2(X3,X2) | ! [X4] : (~r1(X4) | ~r2(X4,X3)))) | X0 != X1) | ! [X5] : (! [X6] : (! [X7] : (~r2(X7,X6) | ~r1(X7)) | ~r3(X6,X5,X0)) | ! [X8] : (~r2(X8,X5) | ! [X9] : (~r2(X9,X8) | ~r1(X9)))))), 0.16/0.52 inference(ennf_transformation,[],[f14])). 0.16/0.52 fof(f14,plain,( 0.16/0.52 ~? [X0] : (? [X1] : (? [X2] : (r2(X2,X1) & ? [X3] : (r2(X3,X2) & ? [X4] : (r1(X4) & r2(X4,X3)))) & X0 = X1) & ? [X5] : (? [X6] : (? [X7] : (r2(X7,X6) & r1(X7)) & r3(X6,X5,X0)) & ? [X8] : (r2(X8,X5) & ? [X9] : (r2(X9,X8) & r1(X9)))))), 0.16/0.52 inference(rectify,[],[f13])). 0.16/0.52 fof(f13,negated_conjecture,( 0.16/0.52 ~? [X6] : (? [X13] : (? [X15] : (r2(X15,X13) & ? [X33] : (r2(X33,X15) & ? [X20] : (r1(X20) & r2(X20,X33)))) & X6 = X13) & ? [X32] : (? [X14] : (? [X41] : (r2(X41,X14) & r1(X41)) & r3(X14,X32,X6)) & ? [X35] : (r2(X35,X32) & ? [X28] : (r2(X28,X35) & r1(X28)))))), 0.16/0.52 inference(negated_conjecture,[],[f12])). 0.16/0.52 fof(f12,conjecture,( 0.16/0.52 ? [X6] : (? [X13] : (? [X15] : (r2(X15,X13) & ? [X33] : (r2(X33,X15) & ? [X20] : (r1(X20) & r2(X20,X33)))) & X6 = X13) & ? [X32] : (? [X14] : (? [X41] : (r2(X41,X14) & r1(X41)) & r3(X14,X32,X6)) & ? [X35] : (r2(X35,X32) & ? [X28] : (r2(X28,X35) & r1(X28)))))), 0.16/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneplustwoeqthree)). 0.16/0.52 fof(f1049,plain,( 0.16/0.52 ( ! [X0] : (r3(X0,sK8(sK8(sK19)),sK8(sK8(X0)))) )), 0.16/0.52 inference(superposition,[],[f559,f307])). 0.16/0.52 fof(f307,plain,( 0.16/0.52 ( ! [X0] : (sK8(X0) = sK13(X0,sK19)) )), 0.16/0.52 inference(superposition,[],[f186,f264])). 0.16/0.52 fof(f264,plain,( 0.16/0.52 ( ! [X0] : (sK14(X0,sK19) = X0) )), 0.16/0.52 inference(superposition,[],[f218,f217])). 0.16/0.52 fof(f217,plain,( 0.16/0.52 ( ! [X0] : (sK17(X0,sK19) = X0) )), 0.16/0.52 inference(resolution,[],[f84,f136])). 0.16/0.52 fof(f136,plain,( 0.16/0.52 ( ! [X0] : (r3(X0,sK19,X0)) )), 0.16/0.52 inference(forward_demodulation,[],[f135,f123])). 0.16/0.52 fof(f123,plain,( 0.16/0.52 ( ! [X0] : (sK4(X0) = sK19) )), 0.16/0.52 inference(resolution,[],[f93,f61])). 0.16/0.52 fof(f61,plain,( 0.16/0.52 ( ! [X0] : (r1(sK4(X0))) )), 0.16/0.52 inference(cnf_transformation,[],[f31])). 0.16/0.52 fof(f31,plain,( 0.16/0.52 ! [X0] : ((r1(sK4(X0)) & r3(X0,sK4(X0),sK3(X0))) & sK3(X0) = X0)), 0.16/0.52 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f16,f30,f29])). 0.16/0.52 fof(f29,plain,( 0.16/0.52 ! [X0] : (? [X1] : (? [X2] : (r1(X2) & r3(X0,X2,X1)) & X0 = X1) => (? [X2] : (r1(X2) & r3(X0,X2,sK3(X0))) & sK3(X0) = X0))), 0.16/0.52 introduced(choice_axiom,[])). 0.16/0.52 fof(f30,plain,( 0.16/0.52 ! [X0] : (? [X2] : (r1(X2) & r3(X0,X2,sK3(X0))) => (r1(sK4(X0)) & r3(X0,sK4(X0),sK3(X0))))), 0.16/0.52 introduced(choice_axiom,[])). 0.16/0.52 fof(f16,plain,( 0.16/0.52 ! [X0] : ? [X1] : (? [X2] : (r1(X2) & r3(X0,X2,X1)) & X0 = X1)), 0.16/0.52 inference(rectify,[],[f11])). 0.16/0.52 fof(f11,axiom,( 0.16/0.52 ! [X40] : ? [X41] : (? [X42] : (r1(X42) & r3(X40,X42,X41)) & X40 = X41)), 0.16/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a)). 0.16/0.52 fof(f93,plain,( 0.16/0.52 ( ! [X1] : (~r1(X1) | sK19 = X1) )), 0.16/0.52 inference(cnf_transformation,[],[f53])). 0.16/0.52 fof(f53,plain,( 0.16/0.52 ! [X1] : ((~r1(X1) & sK19 != X1) | (sK19 = X1 & r1(X1)))), 0.16/0.52 inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f24,f52])). 0.16/0.52 fof(f52,plain,( 0.16/0.52 ? [X0] : ! [X1] : ((~r1(X1) & X0 != X1) | (X0 = X1 & r1(X1))) => ! [X1] : ((~r1(X1) & sK19 != X1) | (sK19 = X1 & r1(X1)))), 0.16/0.52 introduced(choice_axiom,[])). 0.16/0.52 fof(f24,plain,( 0.16/0.52 ? [X0] : ! [X1] : ((~r1(X1) & X0 != X1) | (X0 = X1 & r1(X1)))), 0.16/0.52 inference(rectify,[],[f5])). 0.16/0.52 fof(f5,axiom,( 0.16/0.52 ? [X17] : ! [X18] : ((~r1(X18) & X17 != X18) | (X17 = X18 & r1(X18)))), 0.16/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1)). 0.16/0.52 fof(f135,plain,( 0.16/0.52 ( ! [X0] : (r3(X0,sK4(X0),X0)) )), 0.16/0.52 inference(forward_demodulation,[],[f60,f59])). 0.16/0.52 fof(f59,plain,( 0.16/0.52 ( ! [X0] : (sK3(X0) = X0) )), 0.16/0.52 inference(cnf_transformation,[],[f31])). 0.16/0.52 fof(f60,plain,( 0.16/0.52 ( ! [X0] : (r3(X0,sK4(X0),sK3(X0))) )), 0.16/0.52 inference(cnf_transformation,[],[f31])). 0.16/0.52 fof(f84,plain,( 0.16/0.52 ( ! [X0,X3,X1] : (~r3(X0,X1,X3) | sK17(X0,X1) = X3) )), 0.16/0.52 inference(cnf_transformation,[],[f49])). 0.16/0.52 fof(f49,plain,( 0.16/0.52 ! [X0,X1] : ! [X3] : ((sK17(X0,X1) = X3 & r3(X0,X1,X3)) | (sK17(X0,X1) != X3 & ~r3(X0,X1,X3)))), 0.16/0.52 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f23,f48])). 0.16/0.52 fof(f48,plain,( 0.16/0.52 ! [X1,X0] : (? [X2] : ! [X3] : ((X2 = X3 & r3(X0,X1,X3)) | (X2 != X3 & ~r3(X0,X1,X3))) => ! [X3] : ((sK17(X0,X1) = X3 & r3(X0,X1,X3)) | (sK17(X0,X1) != X3 & ~r3(X0,X1,X3))))), 0.16/0.52 introduced(choice_axiom,[])). 0.16/0.52 fof(f23,plain,( 0.16/0.52 ! [X0,X1] : ? [X2] : ! [X3] : ((X2 = X3 & r3(X0,X1,X3)) | (X2 != X3 & ~r3(X0,X1,X3)))), 0.16/0.52 inference(rectify,[],[f7])). 0.16/0.53 fof(f7,axiom,( 0.16/0.53 ! [X23,X24] : ? [X25] : ! [X26] : ((X25 = X26 & r3(X23,X24,X26)) | (X25 != X26 & ~r3(X23,X24,X26)))), 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3)). 0.16/0.53 fof(f218,plain,( 0.16/0.53 ( ! [X2,X1] : (sK17(X1,X2) = sK14(X1,X2)) )), 0.16/0.53 inference(resolution,[],[f84,f80])). 0.16/0.53 fof(f80,plain,( 0.16/0.53 ( ! [X0,X1] : (r3(X0,X1,sK14(X0,X1))) )), 0.16/0.53 inference(cnf_transformation,[],[f47])). 0.16/0.53 fof(f47,plain,( 0.16/0.53 ! [X0,X1] : ((r2(sK14(X0,X1),sK13(X0,X1)) & r3(X0,X1,sK14(X0,X1))) & (sK13(X0,X1) = sK15(X0,X1) & (r2(X1,sK16(X0,X1)) & r3(X0,sK16(X0,X1),sK15(X0,X1)))))), 0.16/0.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f22,f46,f45,f44,f43])). 0.16/0.53 fof(f43,plain,( 0.16/0.53 ! [X1,X0] : (? [X2] : (? [X3] : (r2(X3,X2) & r3(X0,X1,X3)) & ? [X4] : (X2 = X4 & ? [X5] : (r2(X1,X5) & r3(X0,X5,X4)))) => (? [X3] : (r2(X3,sK13(X0,X1)) & r3(X0,X1,X3)) & ? [X4] : (sK13(X0,X1) = X4 & ? [X5] : (r2(X1,X5) & r3(X0,X5,X4)))))), 0.16/0.53 introduced(choice_axiom,[])). 0.16/0.53 fof(f44,plain,( 0.16/0.53 ! [X1,X0] : (? [X3] : (r2(X3,sK13(X0,X1)) & r3(X0,X1,X3)) => (r2(sK14(X0,X1),sK13(X0,X1)) & r3(X0,X1,sK14(X0,X1))))), 0.16/0.53 introduced(choice_axiom,[])). 0.16/0.53 fof(f45,plain,( 0.16/0.53 ! [X1,X0] : (? [X4] : (sK13(X0,X1) = X4 & ? [X5] : (r2(X1,X5) & r3(X0,X5,X4))) => (sK13(X0,X1) = sK15(X0,X1) & ? [X5] : (r2(X1,X5) & r3(X0,X5,sK15(X0,X1)))))), 0.16/0.53 introduced(choice_axiom,[])). 0.16/0.53 fof(f46,plain,( 0.16/0.53 ! [X1,X0] : (? [X5] : (r2(X1,X5) & r3(X0,X5,sK15(X0,X1))) => (r2(X1,sK16(X0,X1)) & r3(X0,sK16(X0,X1),sK15(X0,X1))))), 0.16/0.53 introduced(choice_axiom,[])). 0.16/0.53 fof(f22,plain,( 0.16/0.53 ! [X0,X1] : ? [X2] : (? [X3] : (r2(X3,X2) & r3(X0,X1,X3)) & ? [X4] : (X2 = X4 & ? [X5] : (r2(X1,X5) & r3(X0,X5,X4))))), 0.16/0.53 inference(rectify,[],[f9])). 0.16/0.53 fof(f9,axiom,( 0.16/0.53 ! [X30,X31] : ? [X32] : (? [X35] : (r2(X35,X32) & r3(X30,X31,X35)) & ? [X33] : (X32 = X33 & ? [X34] : (r2(X31,X34) & r3(X30,X34,X33))))), 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a)). 0.16/0.53 fof(f186,plain,( 0.16/0.53 ( ! [X0,X1] : (sK13(X0,X1) = sK8(sK14(X0,X1))) )), 0.16/0.53 inference(resolution,[],[f81,f66])). 0.16/0.53 fof(f66,plain,( 0.16/0.53 ( ! [X2,X0] : (~r2(X0,X2) | sK8(X0) = X2) )), 0.16/0.53 inference(cnf_transformation,[],[f37])). 0.16/0.53 fof(f37,plain,( 0.16/0.53 ! [X0] : ! [X2] : ((sK8(X0) != X2 & ~r2(X0,X2)) | (r2(X0,X2) & sK8(X0) = X2))), 0.16/0.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f18,f36])). 0.16/0.53 fof(f36,plain,( 0.16/0.53 ! [X0] : (? [X1] : ! [X2] : ((X1 != X2 & ~r2(X0,X2)) | (r2(X0,X2) & X1 = X2)) => ! [X2] : ((sK8(X0) != X2 & ~r2(X0,X2)) | (r2(X0,X2) & sK8(X0) = X2)))), 0.16/0.53 introduced(choice_axiom,[])). 0.16/0.53 fof(f18,plain,( 0.16/0.53 ! [X0] : ? [X1] : ! [X2] : ((X1 != X2 & ~r2(X0,X2)) | (r2(X0,X2) & X1 = X2))), 0.16/0.53 inference(rectify,[],[f3])). 0.16/0.53 fof(f3,axiom,( 0.16/0.53 ! [X8] : ? [X9] : ! [X10] : ((X9 != X10 & ~r2(X8,X10)) | (r2(X8,X10) & X9 = X10))), 0.16/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2)). 0.16/0.53 fof(f81,plain,( 0.16/0.53 ( ! [X0,X1] : (r2(sK14(X0,X1),sK13(X0,X1))) )), 0.16/0.53 inference(cnf_transformation,[],[f47])). 0.16/0.53 fof(f559,plain,( 0.16/0.53 ( ! [X4,X3] : (r3(X3,sK8(sK8(X4)),sK8(sK13(X3,X4)))) )), 0.16/0.53 inference(superposition,[],[f251,f332])). 0.16/0.53 fof(f332,plain,( 0.16/0.53 ( ! [X0,X1] : (sK13(X0,sK8(X1)) = sK8(sK13(X0,X1))) )), 0.16/0.53 inference(superposition,[],[f186,f270])). 0.16/0.53 fof(f270,plain,( 0.16/0.53 ( ! [X4,X3] : (sK14(X3,sK8(X4)) = sK13(X3,X4)) )), 0.16/0.53 inference(resolution,[],[f262,f251])). 0.16/0.53 fof(f262,plain,( 0.16/0.53 ( ! [X0,X3,X1] : (~r3(X0,X1,X3) | sK14(X0,X1) = X3) )), 0.16/0.53 inference(backward_demodulation,[],[f84,f218])). 0.16/0.53 fof(f251,plain,( 0.16/0.53 ( ! [X0,X1] : (r3(X0,sK8(X1),sK13(X0,X1))) )), 0.16/0.53 inference(backward_demodulation,[],[f207,f176])). 0.16/0.53 fof(f176,plain,( 0.16/0.53 ( ! [X4,X3] : (sK8(X3) = sK16(X4,X3)) )), 0.16/0.53 inference(resolution,[],[f66,f78])). 0.16/0.53 fof(f78,plain,( 0.16/0.53 ( ! [X0,X1] : (r2(X1,sK16(X0,X1))) )), 0.16/0.53 inference(cnf_transformation,[],[f47])). 0.16/0.53 fof(f207,plain,( 0.16/0.53 ( ! [X0,X1] : (r3(X0,sK16(X0,X1),sK13(X0,X1))) )), 0.16/0.53 inference(forward_demodulation,[],[f77,f79])). 0.16/0.53 fof(f79,plain,( 0.16/0.53 ( ! [X0,X1] : (sK13(X0,X1) = sK15(X0,X1)) )), 0.16/0.53 inference(cnf_transformation,[],[f47])). 0.16/0.53 fof(f77,plain,( 0.16/0.53 ( ! [X0,X1] : (r3(X0,sK16(X0,X1),sK15(X0,X1))) )), 0.16/0.53 inference(cnf_transformation,[],[f47])). 0.16/0.53 fof(f393,plain,( 0.16/0.53 sP25(sK8(sK8(sK19))) | ~spl26_22), 0.16/0.53 inference(avatar_component_clause,[],[f391])). 0.16/0.53 fof(f391,plain,( 0.16/0.53 spl26_22 <=> sP25(sK8(sK8(sK19)))), 0.16/0.53 introduced(avatar_definition,[new_symbols(naming,[spl26_22])])). 0.16/0.53 fof(f814,plain,( 0.16/0.53 sP23(sK8(sK8(sK8(sK19)))) | ~spl26_30), 0.16/0.53 inference(avatar_component_clause,[],[f812])). 0.16/0.53 fof(f812,plain,( 0.16/0.53 spl26_30 <=> sP23(sK8(sK8(sK8(sK19))))), 0.16/0.53 introduced(avatar_definition,[new_symbols(naming,[spl26_30])])). 0.16/0.53 fof(f195,plain,( 0.16/0.53 sP21(sK8(sK19)) | ~spl26_9), 0.16/0.53 inference(avatar_component_clause,[],[f193])). 0.16/0.53 % (1804)ott+4_32_av=off:bsr=on:cond=on:er=known:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lma=on:nm=4:nwc=1.2:sos=theory_197 on theBenchmark 0.16/0.53 fof(f193,plain,( 0.16/0.53 spl26_9 <=> sP21(sK8(sK19))), 0.16/0.53 introduced(avatar_definition,[new_symbols(naming,[spl26_9])])). 0.16/0.53 fof(f815,plain,( 0.16/0.53 spl26_30 | ~spl26_29), 0.16/0.53 inference(avatar_split_clause,[],[f810,f804,f812])). 0.16/0.53 fof(f804,plain,( 0.16/0.53 spl26_29 <=> ! [X0] : (~r2(sK8(sK8(sK19)),X0) | sP23(X0))), 0.16/0.53 introduced(avatar_definition,[new_symbols(naming,[spl26_29])])). 0.16/0.53 fof(f810,plain,( 0.16/0.53 sP23(sK8(sK8(sK8(sK19)))) | ~spl26_29), 0.16/0.53 inference(resolution,[],[f805,f95])). 0.16/0.53 fof(f95,plain,( 0.16/0.53 ( ! [X0] : (r2(X0,sK8(X0))) )), 0.16/0.53 inference(equality_resolution,[],[f69])). 0.16/0.53 fof(f69,plain,( 0.16/0.53 ( ! [X2,X0] : (sK8(X0) != X2 | r2(X0,X2)) )), 0.16/0.53 inference(cnf_transformation,[],[f37])). 0.16/0.53 fof(f805,plain,( 0.16/0.53 ( ! [X0] : (~r2(sK8(sK8(sK19)),X0) | sP23(X0)) ) | ~spl26_29), 0.16/0.53 inference(avatar_component_clause,[],[f804])). 0.16/0.53 fof(f806,plain,( 0.16/0.53 spl26_29 | ~spl26_20), 0.16/0.53 inference(avatar_split_clause,[],[f357,f352,f804])). 0.16/0.53 fof(f352,plain,( 0.16/0.53 spl26_20 <=> sP22(sK8(sK8(sK19)))), 0.16/0.53 introduced(avatar_definition,[new_symbols(naming,[spl26_20])])). 0.16/0.53 fof(f357,plain,( 0.16/0.53 ( ! [X0] : (~r2(sK8(sK8(sK19)),X0) | sP23(X0)) ) | ~spl26_20), 0.16/0.53 inference(resolution,[],[f354,f111])). 0.16/0.53 fof(f354,plain,( 0.16/0.53 sP22(sK8(sK8(sK19))) | ~spl26_20), 0.16/0.53 inference(avatar_component_clause,[],[f352])). 0.16/0.53 fof(f394,plain,( 0.16/0.53 spl26_22 | ~spl26_19), 0.16/0.53 inference(avatar_split_clause,[],[f382,f336,f391])). 0.16/0.53 fof(f336,plain,( 0.16/0.53 spl26_19 <=> ! [X0] : (~r2(sK8(sK19),X0) | sP25(X0))), 0.16/0.53 introduced(avatar_definition,[new_symbols(naming,[spl26_19])])). 0.16/0.53 fof(f382,plain,( 0.16/0.53 sP25(sK8(sK8(sK19))) | ~spl26_19), 0.16/0.53 inference(resolution,[],[f337,f95])). 0.16/0.53 fof(f337,plain,( 0.16/0.53 ( ! [X0] : (~r2(sK8(sK19),X0) | sP25(X0)) ) | ~spl26_19), 0.16/0.53 inference(avatar_component_clause,[],[f336])). 0.16/0.53 fof(f355,plain,( 0.16/0.53 spl26_20 | ~spl26_18), 0.16/0.53 inference(avatar_split_clause,[],[f342,f328,f352])). 0.16/0.53 fof(f328,plain,( 0.16/0.53 spl26_18 <=> ! [X0] : (~r2(sK8(sK19),X0) | sP22(X0))), 0.16/0.53 introduced(avatar_definition,[new_symbols(naming,[spl26_18])])). 0.16/0.53 fof(f342,plain,( 0.16/0.53 sP22(sK8(sK8(sK19))) | ~spl26_18), 0.16/0.53 inference(resolution,[],[f329,f95])). 0.16/0.53 fof(f329,plain,( 0.16/0.53 ( ! [X0] : (~r2(sK8(sK19),X0) | sP22(X0)) ) | ~spl26_18), 0.16/0.53 inference(avatar_component_clause,[],[f328])). 0.16/0.53 fof(f338,plain,( 0.16/0.53 spl26_19 | ~spl26_12), 0.16/0.53 inference(avatar_split_clause,[],[f222,f213,f336])). 0.16/0.53 fof(f213,plain,( 0.16/0.53 spl26_12 <=> sP24(sK8(sK19))), 0.16/0.53 introduced(avatar_definition,[new_symbols(naming,[spl26_12])])). 0.16/0.53 fof(f222,plain,( 0.16/0.53 ( ! [X0] : (~r2(sK8(sK19),X0) | sP25(X0)) ) | ~spl26_12), 0.16/0.53 inference(resolution,[],[f215,f115])). 0.16/0.53 fof(f215,plain,( 0.16/0.53 sP24(sK8(sK19)) | ~spl26_12), 0.16/0.53 inference(avatar_component_clause,[],[f213])). 0.16/0.53 fof(f330,plain,( 0.16/0.53 spl26_18 | ~spl26_4), 0.16/0.53 inference(avatar_split_clause,[],[f158,f154,f328])). 0.16/0.53 fof(f154,plain,( 0.16/0.53 spl26_4 <=> sP20(sK8(sK19))), 0.16/0.53 introduced(avatar_definition,[new_symbols(naming,[spl26_4])])). 0.16/0.53 fof(f158,plain,( 0.16/0.53 ( ! [X0] : (~r2(sK8(sK19),X0) | sP22(X0)) ) | ~spl26_4), 0.16/0.53 inference(resolution,[],[f156,f109])). 0.16/0.53 fof(f156,plain,( 0.16/0.53 sP20(sK8(sK19)) | ~spl26_4), 0.16/0.53 inference(avatar_component_clause,[],[f154])). 0.16/0.53 fof(f216,plain,( 0.16/0.53 spl26_12 | ~spl26_8), 0.16/0.53 inference(avatar_split_clause,[],[f208,f183,f213])). 0.16/0.53 fof(f183,plain,( 0.16/0.53 spl26_8 <=> ! [X0] : (~r2(sK19,X0) | sP24(X0))), 0.16/0.53 introduced(avatar_definition,[new_symbols(naming,[spl26_8])])). 0.16/0.53 fof(f208,plain,( 0.16/0.53 sP24(sK8(sK19)) | ~spl26_8), 0.16/0.53 inference(resolution,[],[f184,f95])). 0.16/0.53 fof(f184,plain,( 0.16/0.53 ( ! [X0] : (~r2(sK19,X0) | sP24(X0)) ) | ~spl26_8), 0.16/0.53 inference(avatar_component_clause,[],[f183])). 0.16/0.53 fof(f196,plain,( 0.16/0.53 spl26_9 | ~spl26_7), 0.16/0.53 inference(avatar_split_clause,[],[f187,f179,f193])). 0.16/0.53 fof(f179,plain,( 0.16/0.53 spl26_7 <=> ! [X0] : (~r2(sK19,X0) | sP21(X0))), 0.16/0.53 introduced(avatar_definition,[new_symbols(naming,[spl26_7])])). 0.16/0.53 fof(f187,plain,( 0.16/0.53 sP21(sK8(sK19)) | ~spl26_7), 0.16/0.53 inference(resolution,[],[f180,f95])). 0.16/0.53 fof(f180,plain,( 0.16/0.53 ( ! [X0] : (~r2(sK19,X0) | sP21(X0)) ) | ~spl26_7), 0.16/0.53 inference(avatar_component_clause,[],[f179])). 0.16/0.53 fof(f185,plain,( 0.16/0.53 spl26_8 | ~spl26_1), 0.16/0.53 inference(avatar_split_clause,[],[f159,f118,f183])). 0.16/0.53 fof(f118,plain,( 0.16/0.53 spl26_1 <=> r1(sK19)), 0.16/0.53 introduced(avatar_definition,[new_symbols(naming,[spl26_1])])). 0.16/0.53 fof(f159,plain,( 0.16/0.53 ( ! [X0] : (~r2(sK19,X0) | sP24(X0)) ) | ~spl26_1), 0.16/0.53 inference(resolution,[],[f113,f120])). 0.16/0.53 fof(f120,plain,( 0.16/0.53 r1(sK19) | ~spl26_1), 0.16/0.53 inference(avatar_component_clause,[],[f118])). 0.16/0.53 fof(f181,plain,( 0.16/0.53 spl26_7 | ~spl26_1), 0.16/0.53 inference(avatar_split_clause,[],[f149,f118,f179])). 0.16/0.53 fof(f149,plain,( 0.16/0.53 ( ! [X0] : (~r2(sK19,X0) | sP21(X0)) ) | ~spl26_1), 0.16/0.53 inference(resolution,[],[f107,f120])). 0.16/0.53 fof(f157,plain,( 0.16/0.53 spl26_4 | ~spl26_3), 0.16/0.53 inference(avatar_split_clause,[],[f150,f146,f154])). 0.16/0.53 fof(f146,plain,( 0.16/0.53 spl26_3 <=> ! [X0] : (~r2(sK19,X0) | sP20(X0))), 0.16/0.53 introduced(avatar_definition,[new_symbols(naming,[spl26_3])])). 0.16/0.53 fof(f150,plain,( 0.16/0.53 sP20(sK8(sK19)) | ~spl26_3), 0.16/0.53 inference(resolution,[],[f147,f95])). 0.16/0.53 fof(f147,plain,( 0.16/0.53 ( ! [X0] : (~r2(sK19,X0) | sP20(X0)) ) | ~spl26_3), 0.16/0.53 inference(avatar_component_clause,[],[f146])). 0.16/0.53 fof(f148,plain,( 0.16/0.53 spl26_3 | ~spl26_1), 0.16/0.53 inference(avatar_split_clause,[],[f144,f118,f146])). 0.16/0.53 fof(f144,plain,( 0.16/0.53 ( ! [X0] : (~r2(sK19,X0) | sP20(X0)) ) | ~spl26_1), 0.16/0.53 inference(resolution,[],[f105,f120])). 0.16/0.53 fof(f121,plain,( 0.16/0.53 spl26_1), 0.16/0.53 inference(avatar_split_clause,[],[f104,f118])). 0.16/0.53 fof(f104,plain,( 0.16/0.53 r1(sK19)), 0.16/0.53 inference(equality_resolution,[],[f90])). 0.16/0.53 fof(f90,plain,( 0.16/0.53 ( ! [X1] : (sK19 != X1 | r1(X1)) )), 0.16/0.53 inference(cnf_transformation,[],[f53])). 0.16/0.53 % SZS output end Proof for theBenchmark 0.16/0.53 % (1793)------------------------------ 0.16/0.53 % (1793)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.16/0.53 % (1793)Termination reason: Refutation 0.16/0.53 0.16/0.53 % (1793)Memory used [KB]: 6908 0.16/0.53 % (1793)Time elapsed: 0.145 s 0.16/0.53 % (1793)------------------------------ 0.16/0.53 % (1793)------------------------------ 0.16/0.53 % (1790)Success in time 0.209 s 0.16/0.53 EOF