0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : vampire --mode casc -t %d %s 0.11/0.32 % Computer : n028.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 % DateTime : Thu Jul 2 07:41:06 EDT 2020 0.16/0.32 % CPUTime : 0.16/0.39 % dis+10_16_awrs=decay:awrsf=256:afr=on:afp=40000:afq=2.0:amm=off:bsr=on:cond=on:er=known:gsp=input_only:irw=on:lma=on:nm=6:newcnf=on:nwc=3:sas=z3:sd=4:ss=axioms:s2a=on:sp=frequency:updr=off_8 on theBenchmark 0.16/0.48 % Refutation found. Thanks to Tanya! 0.16/0.48 % SZS status Theorem for theBenchmark 0.16/0.48 % SZS output start Proof for theBenchmark 0.16/0.48 fof(f1163,plain,( 0.16/0.48 $false), 0.16/0.48 inference(avatar_sat_refutation,[],[f259,f266,f285,f292,f299,f306,f313,f320,f321,f322,f323,f324,f331,f332,f333,f334,f335,f342,f343,f344,f345,f346,f353,f354,f355,f356,f357,f364,f371,f378,f385,f392,f399,f406,f413,f420,f427,f434,f441,f448,f455,f462,f469,f476,f483,f490,f497,f504,f511,f518,f525,f532,f539,f546,f553,f560,f567,f574,f581,f588,f595,f602,f609,f616,f623,f630,f637,f644,f651,f658,f666,f678,f688,f734,f741,f748,f755,f762,f769,f776,f783,f790,f797,f804,f811,f818,f825,f832,f839,f846,f853,f860,f867,f874,f881,f888,f895,f902,f909,f916,f923,f930,f937,f944,f951,f958,f965,f972,f979,f993,f1000,f1007,f1034,f1038,f1042,f1056,f1066,f1075,f1086,f1093,f1100,f1101,f1125,f1137,f1143,f1162])). 0.16/0.48 fof(f1162,plain,( 0.16/0.48 spl7_7 | ~spl7_10 | ~spl7_12 | ~spl7_14 | ~spl7_16), 0.16/0.48 inference(avatar_contradiction_clause,[],[f1161])). 0.16/0.48 fof(f1161,plain,( 0.16/0.48 $false | (~spl7_7 | ~spl7_10 | ~spl7_12 | ~spl7_14 | ~spl7_16)), 0.16/0.48 inference(subsumption_resolution,[],[f1160,f278])). 0.16/0.48 fof(f278,plain,( 0.16/0.48 a_select3(pminus_ds1_filter,sK2,sK3) != a_select3(pminus_ds1_filter,sK3,sK2) | ~spl7_7), 0.16/0.48 inference(avatar_component_clause,[],[f277])). 0.16/0.48 fof(f277,plain,( 0.16/0.48 spl7_7 <=> a_select3(pminus_ds1_filter,sK2,sK3) != a_select3(pminus_ds1_filter,sK3,sK2)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_7])])). 0.16/0.48 fof(f1160,plain,( 0.16/0.48 a_select3(pminus_ds1_filter,sK2,sK3) = a_select3(pminus_ds1_filter,sK3,sK2) | (~spl7_10 | ~spl7_12 | ~spl7_14 | ~spl7_16)), 0.16/0.48 inference(subsumption_resolution,[],[f1158,f312])). 0.16/0.48 fof(f312,plain,( 0.16/0.48 leq(n0,sK2) | ~spl7_16), 0.16/0.48 inference(avatar_component_clause,[],[f311])). 0.16/0.48 fof(f311,plain,( 0.16/0.48 spl7_16 <=> leq(n0,sK2)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_16])])). 0.16/0.48 fof(f1158,plain,( 0.16/0.48 ~leq(n0,sK2) | a_select3(pminus_ds1_filter,sK2,sK3) = a_select3(pminus_ds1_filter,sK3,sK2) | (~spl7_10 | ~spl7_12 | ~spl7_14)), 0.16/0.48 inference(resolution,[],[f1147,f298])). 0.16/0.48 fof(f298,plain,( 0.16/0.48 leq(sK2,minus(n6,n1)) | ~spl7_12), 0.16/0.48 inference(avatar_component_clause,[],[f297])). 0.16/0.48 fof(f297,plain,( 0.16/0.48 spl7_12 <=> leq(sK2,minus(n6,n1))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_12])])). 0.16/0.48 fof(f1147,plain,( 0.16/0.48 ( ! [X0] : (~leq(X0,minus(n6,n1)) | ~leq(n0,X0) | a_select3(pminus_ds1_filter,X0,sK3) = a_select3(pminus_ds1_filter,sK3,X0)) ) | (~spl7_10 | ~spl7_14)), 0.16/0.48 inference(subsumption_resolution,[],[f1144,f305])). 0.16/0.48 fof(f305,plain,( 0.16/0.48 leq(n0,sK3) | ~spl7_14), 0.16/0.48 inference(avatar_component_clause,[],[f304])). 0.16/0.48 fof(f304,plain,( 0.16/0.48 spl7_14 <=> leq(n0,sK3)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_14])])). 0.16/0.48 fof(f1144,plain,( 0.16/0.48 ( ! [X0] : (~leq(X0,minus(n6,n1)) | ~leq(n0,sK3) | ~leq(n0,X0) | a_select3(pminus_ds1_filter,X0,sK3) = a_select3(pminus_ds1_filter,sK3,X0)) ) | ~spl7_10), 0.16/0.48 inference(resolution,[],[f291,f174])). 0.16/0.48 fof(f174,plain,( 0.16/0.48 ( ! [X2,X3] : (~leq(X3,minus(n6,n1)) | ~leq(X2,minus(n6,n1)) | ~leq(n0,X3) | ~leq(n0,X2) | a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)) )), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f117,plain,( 0.16/0.48 (? [X10,X11] : (a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10) & leq(n0,X10) & leq(X10,minus(n6,n1)) & leq(X11,minus(n6,n1)) & leq(n0,X11)) | ? [X12,X13] : (a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12) & leq(X13,minus(n6,n1)) & leq(X12,minus(n6,n1)) & leq(n0,X13) & leq(n0,X12)) | ? [X14,X15] : (a_select3(r_ds1_filter,X14,X15) != a_select3(r_ds1_filter,X15,X14) & leq(n0,X15) & leq(X14,minus(n3,n1)) & leq(X15,minus(n3,n1)) & leq(n0,X14))) & leq(n0,pv5) & ! [X0,X1] : (a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) | ~leq(X1,minus(n6,n1)) | ~leq(X0,minus(n6,n1)) | ~leq(n0,X1) | ~leq(n0,X0)) & ! [X2,X3] : (a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2) | ~leq(n0,X2) | ~leq(n0,X3) | ~leq(X2,minus(n6,n1)) | ~leq(X3,minus(n6,n1))) & ! [X4,X5] : (a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) | ~leq(n0,X5) | ~leq(X4,minus(n6,n1)) | ~leq(X5,minus(n6,n1)) | ~leq(n0,X4)) & ! [X6] : (! [X7] : (a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) | ~leq(n0,X7) | ~leq(X7,minus(n6,n1))) | ~leq(n0,X6) | ~leq(X6,minus(n6,n1))) & ! [X8,X9] : (a_select3(r_ds1_filter,X8,X9) = a_select3(r_ds1_filter,X9,X8) | ~leq(n0,X9) | ~leq(X9,minus(n3,n1)) | ~leq(X8,minus(n3,n1)) | ~leq(n0,X8)) & leq(pv5,minus(n999,n1))), 0.16/0.48 inference(flattening,[],[f116])). 0.16/0.48 fof(f116,plain,( 0.16/0.48 (? [X10,X11] : (a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10) & (leq(n0,X10) & leq(X10,minus(n6,n1)) & leq(X11,minus(n6,n1)) & leq(n0,X11))) | ? [X12,X13] : (a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12) & (leq(X13,minus(n6,n1)) & leq(X12,minus(n6,n1)) & leq(n0,X13) & leq(n0,X12))) | ? [X14,X15] : (a_select3(r_ds1_filter,X14,X15) != a_select3(r_ds1_filter,X15,X14) & (leq(n0,X15) & leq(X14,minus(n3,n1)) & leq(X15,minus(n3,n1)) & leq(n0,X14)))) & (leq(n0,pv5) & ! [X0,X1] : (a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) | (~leq(X1,minus(n6,n1)) | ~leq(X0,minus(n6,n1)) | ~leq(n0,X1) | ~leq(n0,X0))) & ! [X2,X3] : (a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2) | (~leq(n0,X2) | ~leq(n0,X3) | ~leq(X2,minus(n6,n1)) | ~leq(X3,minus(n6,n1)))) & ! [X4,X5] : (a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) | (~leq(n0,X5) | ~leq(X4,minus(n6,n1)) | ~leq(X5,minus(n6,n1)) | ~leq(n0,X4))) & ! [X6] : (! [X7] : (a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) | (~leq(n0,X7) | ~leq(X7,minus(n6,n1)))) | (~leq(n0,X6) | ~leq(X6,minus(n6,n1)))) & ! [X8,X9] : (a_select3(r_ds1_filter,X8,X9) = a_select3(r_ds1_filter,X9,X8) | (~leq(n0,X9) | ~leq(X9,minus(n3,n1)) | ~leq(X8,minus(n3,n1)) | ~leq(n0,X8))) & leq(pv5,minus(n999,n1)))), 0.16/0.48 inference(ennf_transformation,[],[f104])). 0.16/0.48 fof(f104,plain,( 0.16/0.48 ~((leq(n0,pv5) & ! [X0,X1] : ((leq(X1,minus(n6,n1)) & leq(X0,minus(n6,n1)) & leq(n0,X1) & leq(n0,X0)) => a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)) & ! [X2,X3] : ((leq(n0,X2) & leq(n0,X3) & leq(X2,minus(n6,n1)) & leq(X3,minus(n6,n1))) => a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)) & ! [X4,X5] : ((leq(n0,X5) & leq(X4,minus(n6,n1)) & leq(X5,minus(n6,n1)) & leq(n0,X4)) => a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)) & ! [X6] : ((leq(n0,X6) & leq(X6,minus(n6,n1))) => ! [X7] : ((leq(n0,X7) & leq(X7,minus(n6,n1))) => a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6))) & ! [X8,X9] : ((leq(n0,X9) & leq(X9,minus(n3,n1)) & leq(X8,minus(n3,n1)) & leq(n0,X8)) => a_select3(r_ds1_filter,X8,X9) = a_select3(r_ds1_filter,X9,X8)) & leq(pv5,minus(n999,n1))) => (! [X10,X11] : ((leq(n0,X10) & leq(X10,minus(n6,n1)) & leq(X11,minus(n6,n1)) & leq(n0,X11)) => a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10)) & ! [X12,X13] : ((leq(X13,minus(n6,n1)) & leq(X12,minus(n6,n1)) & leq(n0,X13) & leq(n0,X12)) => a_select3(pminus_ds1_filter,X12,X13) = a_select3(pminus_ds1_filter,X13,X12)) & ! [X14,X15] : ((leq(n0,X15) & leq(X14,minus(n3,n1)) & leq(X15,minus(n3,n1)) & leq(n0,X14)) => a_select3(r_ds1_filter,X14,X15) = a_select3(r_ds1_filter,X15,X14))))), 0.16/0.48 inference(rectify,[],[f91])). 0.16/0.48 fof(f91,negated_conjecture,( 0.16/0.48 ~((leq(n0,pv5) & ! [X8,X9] : ((leq(X9,minus(n6,n1)) & leq(X8,minus(n6,n1)) & leq(n0,X9) & leq(n0,X8)) => a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8)) & ! [X18,X19] : ((leq(n0,X18) & leq(n0,X19) & leq(X18,minus(n6,n1)) & leq(X19,minus(n6,n1))) => a_select3(pminus_ds1_filter,X18,X19) = a_select3(pminus_ds1_filter,X19,X18)) & ! [X27,X28] : ((leq(n0,X28) & leq(X27,minus(n6,n1)) & leq(X28,minus(n6,n1)) & leq(n0,X27)) => a_select3(pminus_ds1_filter,X27,X28) = a_select3(pminus_ds1_filter,X28,X27)) & ! [X3] : ((leq(n0,X3) & leq(X3,minus(n6,n1))) => ! [X12] : ((leq(n0,X12) & leq(X12,minus(n6,n1))) => a_select3(id_ds1_filter,X3,X12) = a_select3(id_ds1_filter,X12,X3))) & ! [X16,X17] : ((leq(n0,X17) & leq(X17,minus(n3,n1)) & leq(X16,minus(n3,n1)) & leq(n0,X16)) => a_select3(r_ds1_filter,X16,X17) = a_select3(r_ds1_filter,X17,X16)) & leq(pv5,minus(n999,n1))) => (! [X15,X4] : ((leq(n0,X15) & leq(X15,minus(n6,n1)) & leq(X4,minus(n6,n1)) & leq(n0,X4)) => a_select3(q_ds1_filter,X4,X15) = a_select3(q_ds1_filter,X15,X4)) & ! [X29,X30] : ((leq(X30,minus(n6,n1)) & leq(X29,minus(n6,n1)) & leq(n0,X30) & leq(n0,X29)) => a_select3(pminus_ds1_filter,X29,X30) = a_select3(pminus_ds1_filter,X30,X29)) & ! [X11,X10] : ((leq(n0,X10) & leq(X11,minus(n3,n1)) & leq(X10,minus(n3,n1)) & leq(n0,X11)) => a_select3(r_ds1_filter,X10,X11) = a_select3(r_ds1_filter,X11,X10))))), 0.16/0.48 inference(negated_conjecture,[],[f90])). 0.16/0.48 fof(f90,conjecture,( 0.16/0.48 (leq(n0,pv5) & ! [X8,X9] : ((leq(X9,minus(n6,n1)) & leq(X8,minus(n6,n1)) & leq(n0,X9) & leq(n0,X8)) => a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8)) & ! [X18,X19] : ((leq(n0,X18) & leq(n0,X19) & leq(X18,minus(n6,n1)) & leq(X19,minus(n6,n1))) => a_select3(pminus_ds1_filter,X18,X19) = a_select3(pminus_ds1_filter,X19,X18)) & ! [X27,X28] : ((leq(n0,X28) & leq(X27,minus(n6,n1)) & leq(X28,minus(n6,n1)) & leq(n0,X27)) => a_select3(pminus_ds1_filter,X27,X28) = a_select3(pminus_ds1_filter,X28,X27)) & ! [X3] : ((leq(n0,X3) & leq(X3,minus(n6,n1))) => ! [X12] : ((leq(n0,X12) & leq(X12,minus(n6,n1))) => a_select3(id_ds1_filter,X3,X12) = a_select3(id_ds1_filter,X12,X3))) & ! [X16,X17] : ((leq(n0,X17) & leq(X17,minus(n3,n1)) & leq(X16,minus(n3,n1)) & leq(n0,X16)) => a_select3(r_ds1_filter,X16,X17) = a_select3(r_ds1_filter,X17,X16)) & leq(pv5,minus(n999,n1))) => (! [X15,X4] : ((leq(n0,X15) & leq(X15,minus(n6,n1)) & leq(X4,minus(n6,n1)) & leq(n0,X4)) => a_select3(q_ds1_filter,X4,X15) = a_select3(q_ds1_filter,X15,X4)) & ! [X29,X30] : ((leq(X30,minus(n6,n1)) & leq(X29,minus(n6,n1)) & leq(n0,X30) & leq(n0,X29)) => a_select3(pminus_ds1_filter,X29,X30) = a_select3(pminus_ds1_filter,X30,X29)) & ! [X11,X10] : ((leq(n0,X10) & leq(X11,minus(n3,n1)) & leq(X10,minus(n3,n1)) & leq(n0,X11)) => a_select3(r_ds1_filter,X10,X11) = a_select3(r_ds1_filter,X11,X10)))), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0009)). 0.16/0.48 fof(f291,plain,( 0.16/0.48 leq(sK3,minus(n6,n1)) | ~spl7_10), 0.16/0.48 inference(avatar_component_clause,[],[f290])). 0.16/0.48 fof(f290,plain,( 0.16/0.48 spl7_10 <=> leq(sK3,minus(n6,n1))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_10])])). 0.16/0.48 fof(f1143,plain,( 0.16/0.48 ~spl7_4 | ~spl7_222), 0.16/0.48 inference(avatar_contradiction_clause,[],[f1142])). 0.16/0.48 fof(f1142,plain,( 0.16/0.48 $false | (~spl7_4 | ~spl7_222)), 0.16/0.48 inference(subsumption_resolution,[],[f1141,f272])). 0.16/0.48 fof(f272,plain,( 0.16/0.48 sP6(sK5,sK4) | ~spl7_4), 0.16/0.48 inference(avatar_component_clause,[],[f271])). 0.16/0.48 fof(f271,plain,( 0.16/0.48 spl7_4 <=> sP6(sK5,sK4)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_4])])). 0.16/0.48 fof(f1141,plain,( 0.16/0.48 ~sP6(sK5,sK4) | ~spl7_222), 0.16/0.48 inference(trivial_inequality_removal,[],[f1138])). 0.16/0.48 fof(f1138,plain,( 0.16/0.48 a_select3(q_ds1_filter,sK4,sK5) != a_select3(q_ds1_filter,sK4,sK5) | ~sP6(sK5,sK4) | ~spl7_222), 0.16/0.48 inference(superposition,[],[f146,f1136])). 0.16/0.48 fof(f1136,plain,( 0.16/0.48 a_select3(q_ds1_filter,sK4,sK5) = a_select3(q_ds1_filter,sK5,sK4) | ~spl7_222), 0.16/0.48 inference(avatar_component_clause,[],[f1135])). 0.16/0.48 fof(f1135,plain,( 0.16/0.48 spl7_222 <=> a_select3(q_ds1_filter,sK4,sK5) = a_select3(q_ds1_filter,sK5,sK4)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_222])])). 0.16/0.48 fof(f146,plain,( 0.16/0.48 ( ! [X10,X11] : (a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10) | ~sP6(X11,X10)) )), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f1137,plain,( 0.16/0.48 spl7_222 | ~spl7_112 | ~spl7_214 | ~spl7_216 | ~spl7_218), 0.16/0.48 inference(avatar_split_clause,[],[f1130,f1098,f1091,f1084,f664,f1135])). 0.16/0.48 fof(f664,plain,( 0.16/0.48 spl7_112 <=> leq(n0,sK5)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_112])])). 0.16/0.48 fof(f1084,plain,( 0.16/0.48 spl7_214 <=> leq(sK4,minus(n6,n1))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_214])])). 0.16/0.48 fof(f1091,plain,( 0.16/0.48 spl7_216 <=> leq(sK5,minus(n6,n1))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_216])])). 0.16/0.48 fof(f1098,plain,( 0.16/0.48 spl7_218 <=> leq(n0,sK4)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_218])])). 0.16/0.48 fof(f1130,plain,( 0.16/0.48 a_select3(q_ds1_filter,sK4,sK5) = a_select3(q_ds1_filter,sK5,sK4) | (~spl7_112 | ~spl7_214 | ~spl7_216 | ~spl7_218)), 0.16/0.48 inference(subsumption_resolution,[],[f1129,f665])). 0.16/0.48 fof(f665,plain,( 0.16/0.48 leq(n0,sK5) | ~spl7_112), 0.16/0.48 inference(avatar_component_clause,[],[f664])). 0.16/0.48 fof(f1129,plain,( 0.16/0.48 ~leq(n0,sK5) | a_select3(q_ds1_filter,sK4,sK5) = a_select3(q_ds1_filter,sK5,sK4) | (~spl7_214 | ~spl7_216 | ~spl7_218)), 0.16/0.48 inference(resolution,[],[f1106,f1092])). 0.16/0.48 fof(f1092,plain,( 0.16/0.48 leq(sK5,minus(n6,n1)) | ~spl7_216), 0.16/0.48 inference(avatar_component_clause,[],[f1091])). 0.16/0.48 fof(f1106,plain,( 0.16/0.48 ( ! [X1] : (~leq(X1,minus(n6,n1)) | ~leq(n0,X1) | a_select3(q_ds1_filter,X1,sK4) = a_select3(q_ds1_filter,sK4,X1)) ) | (~spl7_214 | ~spl7_218)), 0.16/0.48 inference(subsumption_resolution,[],[f1103,f1099])). 0.16/0.48 fof(f1099,plain,( 0.16/0.48 leq(n0,sK4) | ~spl7_218), 0.16/0.48 inference(avatar_component_clause,[],[f1098])). 0.16/0.48 fof(f1103,plain,( 0.16/0.48 ( ! [X1] : (~leq(n0,sK4) | ~leq(X1,minus(n6,n1)) | ~leq(n0,X1) | a_select3(q_ds1_filter,X1,sK4) = a_select3(q_ds1_filter,sK4,X1)) ) | ~spl7_214), 0.16/0.48 inference(resolution,[],[f1085,f173])). 0.16/0.48 fof(f173,plain,( 0.16/0.48 ( ! [X0,X1] : (~leq(X1,minus(n6,n1)) | ~leq(n0,X1) | ~leq(X0,minus(n6,n1)) | ~leq(n0,X0) | a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)) )), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f1085,plain,( 0.16/0.48 leq(sK4,minus(n6,n1)) | ~spl7_214), 0.16/0.48 inference(avatar_component_clause,[],[f1084])). 0.16/0.48 fof(f1125,plain,( 0.16/0.48 spl7_220 | ~spl7_112 | ~spl7_214 | ~spl7_216 | ~spl7_218), 0.16/0.48 inference(avatar_split_clause,[],[f1118,f1098,f1091,f1084,f664,f1123])). 0.16/0.48 fof(f1123,plain,( 0.16/0.48 spl7_220 <=> a_select3(pminus_ds1_filter,sK4,sK5) = a_select3(pminus_ds1_filter,sK5,sK4)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_220])])). 0.16/0.48 fof(f1118,plain,( 0.16/0.48 a_select3(pminus_ds1_filter,sK4,sK5) = a_select3(pminus_ds1_filter,sK5,sK4) | (~spl7_112 | ~spl7_214 | ~spl7_216 | ~spl7_218)), 0.16/0.48 inference(subsumption_resolution,[],[f1117,f665])). 0.16/0.48 fof(f1117,plain,( 0.16/0.48 ~leq(n0,sK5) | a_select3(pminus_ds1_filter,sK4,sK5) = a_select3(pminus_ds1_filter,sK5,sK4) | (~spl7_214 | ~spl7_216 | ~spl7_218)), 0.16/0.48 inference(resolution,[],[f1105,f1092])). 0.16/0.48 fof(f1105,plain,( 0.16/0.48 ( ! [X0] : (~leq(X0,minus(n6,n1)) | ~leq(n0,X0) | a_select3(pminus_ds1_filter,X0,sK4) = a_select3(pminus_ds1_filter,sK4,X0)) ) | (~spl7_214 | ~spl7_218)), 0.16/0.48 inference(subsumption_resolution,[],[f1102,f1099])). 0.16/0.48 fof(f1102,plain,( 0.16/0.48 ( ! [X0] : (~leq(X0,minus(n6,n1)) | ~leq(n0,sK4) | ~leq(n0,X0) | a_select3(pminus_ds1_filter,X0,sK4) = a_select3(pminus_ds1_filter,sK4,X0)) ) | ~spl7_214), 0.16/0.48 inference(resolution,[],[f1085,f174])). 0.16/0.48 fof(f1101,plain,( 0.16/0.48 spl7_112 | ~spl7_4), 0.16/0.48 inference(avatar_split_clause,[],[f1079,f271,f664])). 0.16/0.48 fof(f1079,plain,( 0.16/0.48 leq(n0,sK5) | ~spl7_4), 0.16/0.48 inference(resolution,[],[f272,f142])). 0.16/0.48 fof(f142,plain,( 0.16/0.48 ( ! [X10,X11] : (~sP6(X11,X10) | leq(n0,X11)) )), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f1100,plain,( 0.16/0.48 spl7_218 | ~spl7_4), 0.16/0.48 inference(avatar_split_clause,[],[f1078,f271,f1098])). 0.16/0.48 fof(f1078,plain,( 0.16/0.48 leq(n0,sK4) | ~spl7_4), 0.16/0.48 inference(resolution,[],[f272,f145])). 0.16/0.48 fof(f145,plain,( 0.16/0.48 ( ! [X10,X11] : (~sP6(X11,X10) | leq(n0,X10)) )), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f1093,plain,( 0.16/0.48 spl7_216 | ~spl7_4), 0.16/0.48 inference(avatar_split_clause,[],[f1077,f271,f1091])). 0.16/0.48 fof(f1077,plain,( 0.16/0.48 leq(sK5,minus(n6,n1)) | ~spl7_4), 0.16/0.48 inference(resolution,[],[f272,f143])). 0.16/0.48 fof(f143,plain,( 0.16/0.48 ( ! [X10,X11] : (~sP6(X11,X10) | leq(X11,minus(n6,n1))) )), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f1086,plain,( 0.16/0.48 spl7_214 | ~spl7_4), 0.16/0.48 inference(avatar_split_clause,[],[f1076,f271,f1084])). 0.16/0.48 fof(f1076,plain,( 0.16/0.48 leq(sK4,minus(n6,n1)) | ~spl7_4), 0.16/0.48 inference(resolution,[],[f272,f144])). 0.16/0.48 fof(f144,plain,( 0.16/0.48 ( ! [X10,X11] : (~sP6(X11,X10) | leq(X10,minus(n6,n1))) )), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f1075,plain,( 0.16/0.48 ~spl7_8 | ~spl7_18 | ~spl7_20 | ~spl7_22 | spl7_25), 0.16/0.48 inference(avatar_contradiction_clause,[],[f1074])). 0.16/0.48 fof(f1074,plain,( 0.16/0.48 $false | (~spl7_8 | ~spl7_18 | ~spl7_20 | ~spl7_22 | ~spl7_25)), 0.16/0.48 inference(subsumption_resolution,[],[f1073,f352])). 0.16/0.48 fof(f352,plain,( 0.16/0.48 a_select3(r_ds1_filter,sK0,sK1) != a_select3(r_ds1_filter,sK1,sK0) | ~spl7_25), 0.16/0.48 inference(avatar_component_clause,[],[f351])). 0.16/0.48 fof(f351,plain,( 0.16/0.48 spl7_25 <=> a_select3(r_ds1_filter,sK0,sK1) != a_select3(r_ds1_filter,sK1,sK0)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_25])])). 0.16/0.48 fof(f1073,plain,( 0.16/0.48 a_select3(r_ds1_filter,sK0,sK1) = a_select3(r_ds1_filter,sK1,sK0) | (~spl7_8 | ~spl7_18 | ~spl7_20 | ~spl7_22)), 0.16/0.48 inference(subsumption_resolution,[],[f1072,f341])). 0.16/0.48 fof(f341,plain,( 0.16/0.48 leq(n0,sK1) | ~spl7_22), 0.16/0.48 inference(avatar_component_clause,[],[f340])). 0.16/0.48 fof(f340,plain,( 0.16/0.48 spl7_22 <=> leq(n0,sK1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_22])])). 0.16/0.48 fof(f1072,plain,( 0.16/0.48 ~leq(n0,sK1) | a_select3(r_ds1_filter,sK0,sK1) = a_select3(r_ds1_filter,sK1,sK0) | (~spl7_8 | ~spl7_18 | ~spl7_20)), 0.16/0.48 inference(resolution,[],[f1067,f319])). 0.16/0.48 fof(f319,plain,( 0.16/0.48 leq(sK1,minus(n3,n1)) | ~spl7_18), 0.16/0.48 inference(avatar_component_clause,[],[f318])). 0.16/0.48 fof(f318,plain,( 0.16/0.48 spl7_18 <=> leq(sK1,minus(n3,n1))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_18])])). 0.16/0.48 fof(f1067,plain,( 0.16/0.48 ( ! [X2] : (~leq(X2,minus(n3,n1)) | ~leq(n0,X2) | a_select3(r_ds1_filter,X2,sK0) = a_select3(r_ds1_filter,sK0,X2)) ) | (~spl7_8 | ~spl7_20)), 0.16/0.48 inference(subsumption_resolution,[],[f1045,f284])). 0.16/0.48 fof(f284,plain,( 0.16/0.48 leq(n0,sK0) | ~spl7_8), 0.16/0.48 inference(avatar_component_clause,[],[f283])). 0.16/0.48 fof(f283,plain,( 0.16/0.48 spl7_8 <=> leq(n0,sK0)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_8])])). 0.16/0.48 fof(f1045,plain,( 0.16/0.48 ( ! [X2] : (~leq(X2,minus(n3,n1)) | ~leq(n0,X2) | ~leq(n0,sK0) | a_select3(r_ds1_filter,X2,sK0) = a_select3(r_ds1_filter,sK0,X2)) ) | ~spl7_20), 0.16/0.48 inference(resolution,[],[f176,f330])). 0.16/0.48 fof(f330,plain,( 0.16/0.48 leq(sK0,minus(n3,n1)) | ~spl7_20), 0.16/0.48 inference(avatar_component_clause,[],[f329])). 0.16/0.48 fof(f329,plain,( 0.16/0.48 spl7_20 <=> leq(sK0,minus(n3,n1))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_20])])). 0.16/0.48 fof(f176,plain,( 0.16/0.48 ( ! [X8,X9] : (~leq(X9,minus(n3,n1)) | ~leq(X8,minus(n3,n1)) | ~leq(n0,X8) | ~leq(n0,X9) | a_select3(r_ds1_filter,X8,X9) = a_select3(r_ds1_filter,X9,X8)) )), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f1066,plain,( 0.16/0.48 ~spl7_211 | spl7_212), 0.16/0.48 inference(avatar_split_clause,[],[f1044,f1064,f1061])). 0.16/0.48 fof(f1061,plain,( 0.16/0.48 spl7_211 <=> ~leq(n0,minus(minus(n3,n1),n1))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_211])])). 0.16/0.48 fof(f1064,plain,( 0.16/0.48 spl7_212 <=> ! [X1] : (~leq(X1,minus(n3,n1)) | a_select3(r_ds1_filter,X1,minus(minus(n3,n1),n1)) = a_select3(r_ds1_filter,minus(minus(n3,n1),n1),X1) | ~leq(n0,X1))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_212])])). 0.16/0.48 fof(f1044,plain,( 0.16/0.48 ( ! [X1] : (~leq(X1,minus(n3,n1)) | ~leq(n0,X1) | ~leq(n0,minus(minus(n3,n1),n1)) | a_select3(r_ds1_filter,X1,minus(minus(n3,n1),n1)) = a_select3(r_ds1_filter,minus(minus(n3,n1),n1),X1)) )), 0.16/0.48 inference(resolution,[],[f176,f1011])). 0.16/0.48 fof(f1011,plain,( 0.16/0.48 ( ! [X1] : (leq(minus(X1,n1),X1)) )), 0.16/0.48 inference(superposition,[],[f691,f252])). 0.16/0.48 fof(f252,plain,( 0.16/0.48 ( ! [X0] : (succ(minus(X0,n1)) = X0) )), 0.16/0.48 inference(definition_unfolding,[],[f248,f199])). 0.16/0.48 fof(f199,plain,( 0.16/0.48 ( ! [X0] : (minus(X0,n1) = pred(X0)) )), 0.16/0.48 inference(cnf_transformation,[],[f6])). 0.16/0.48 fof(f6,axiom,( 0.16/0.48 ! [X0] : minus(X0,n1) = pred(X0)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1)). 0.16/0.48 fof(f248,plain,( 0.16/0.48 ( ! [X0] : (succ(pred(X0)) = X0) )), 0.16/0.48 inference(cnf_transformation,[],[f45])). 0.16/0.48 fof(f45,axiom,( 0.16/0.48 ! [X0] : succ(pred(X0)) = X0), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_pred)). 0.16/0.48 fof(f691,plain,( 0.16/0.48 ( ! [X0] : (leq(X0,succ(X0))) )), 0.16/0.48 inference(resolution,[],[f195,f234])). 0.16/0.48 fof(f234,plain,( 0.16/0.48 ( ! [X0] : (gt(succ(X0),X0)) )), 0.16/0.48 inference(cnf_transformation,[],[f42])). 0.16/0.48 fof(f42,axiom,( 0.16/0.48 ! [X0] : gt(succ(X0),X0)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_succ)). 0.16/0.48 fof(f195,plain,( 0.16/0.48 ( ! [X0,X1] : (~gt(X1,X0) | leq(X0,X1)) )), 0.16/0.48 inference(cnf_transformation,[],[f126])). 0.16/0.48 fof(f126,plain,( 0.16/0.48 ! [X0,X1] : (leq(X0,X1) | ~gt(X1,X0))), 0.16/0.48 inference(ennf_transformation,[],[f107])). 0.16/0.48 fof(f107,plain,( 0.16/0.48 ! [X0,X1] : (gt(X1,X0) => leq(X0,X1))), 0.16/0.48 inference(rectify,[],[f33])). 0.16/0.48 fof(f33,axiom,( 0.16/0.48 ! [X0,X6] : (gt(X6,X0) => leq(X0,X6))), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1)). 0.16/0.48 fof(f1056,plain,( 0.16/0.48 ~spl7_207 | spl7_208), 0.16/0.48 inference(avatar_split_clause,[],[f1043,f1054,f1051])). 0.16/0.48 fof(f1051,plain,( 0.16/0.48 spl7_207 <=> ~leq(n0,minus(n3,n1))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_207])])). 0.16/0.48 fof(f1054,plain,( 0.16/0.48 spl7_208 <=> ! [X0] : (~leq(X0,minus(n3,n1)) | a_select3(r_ds1_filter,X0,minus(n3,n1)) = a_select3(r_ds1_filter,minus(n3,n1),X0) | ~leq(n0,X0))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_208])])). 0.16/0.48 fof(f1043,plain,( 0.16/0.48 ( ! [X0] : (~leq(X0,minus(n3,n1)) | ~leq(n0,X0) | ~leq(n0,minus(n3,n1)) | a_select3(r_ds1_filter,X0,minus(n3,n1)) = a_select3(r_ds1_filter,minus(n3,n1),X0)) )), 0.16/0.48 inference(resolution,[],[f176,f197])). 0.16/0.48 fof(f197,plain,( 0.16/0.48 ( ! [X0] : (leq(X0,X0)) )), 0.16/0.48 inference(cnf_transformation,[],[f40])). 0.16/0.48 fof(f40,axiom,( 0.16/0.48 ! [X0] : leq(X0,X0)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq)). 0.16/0.48 fof(f1042,plain,( 0.16/0.48 ~spl7_199 | spl7_204), 0.16/0.48 inference(avatar_split_clause,[],[f1020,f1040,f1029])). 0.16/0.48 fof(f1029,plain,( 0.16/0.48 spl7_199 <=> ~leq(n0,minus(minus(n6,n1),n1))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_199])])). 0.16/0.48 fof(f1040,plain,( 0.16/0.48 spl7_204 <=> ! [X2] : (~leq(n0,X2) | a_select3(id_ds1_filter,X2,minus(minus(n6,n1),n1)) = a_select3(id_ds1_filter,minus(minus(n6,n1),n1),X2) | ~leq(X2,minus(n6,n1)))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_204])])). 0.16/0.48 fof(f1020,plain,( 0.16/0.48 ( ! [X2] : (~leq(n0,X2) | ~leq(X2,minus(n6,n1)) | ~leq(n0,minus(minus(n6,n1),n1)) | a_select3(id_ds1_filter,X2,minus(minus(n6,n1),n1)) = a_select3(id_ds1_filter,minus(minus(n6,n1),n1),X2)) )), 0.16/0.48 inference(resolution,[],[f1011,f147])). 0.16/0.48 fof(f147,plain,( 0.16/0.48 ( ! [X6,X7] : (~leq(X7,minus(n6,n1)) | ~leq(n0,X6) | ~leq(X6,minus(n6,n1)) | ~leq(n0,X7) | a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)) )), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f1038,plain,( 0.16/0.48 spl7_202 | ~spl7_199), 0.16/0.48 inference(avatar_split_clause,[],[f1019,f1029,f1036])). 0.16/0.48 fof(f1036,plain,( 0.16/0.48 spl7_202 <=> ! [X1] : (~leq(X1,minus(n6,n1)) | a_select3(q_ds1_filter,X1,minus(minus(n6,n1),n1)) = a_select3(q_ds1_filter,minus(minus(n6,n1),n1),X1) | ~leq(n0,X1))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_202])])). 0.16/0.48 fof(f1019,plain,( 0.16/0.48 ( ! [X1] : (~leq(n0,minus(minus(n6,n1),n1)) | ~leq(X1,minus(n6,n1)) | ~leq(n0,X1) | a_select3(q_ds1_filter,X1,minus(minus(n6,n1),n1)) = a_select3(q_ds1_filter,minus(minus(n6,n1),n1),X1)) )), 0.16/0.48 inference(resolution,[],[f1011,f173])). 0.16/0.48 fof(f1034,plain,( 0.16/0.48 ~spl7_199 | spl7_200), 0.16/0.48 inference(avatar_split_clause,[],[f1018,f1032,f1029])). 0.16/0.48 fof(f1032,plain,( 0.16/0.48 spl7_200 <=> ! [X0] : (~leq(X0,minus(n6,n1)) | a_select3(pminus_ds1_filter,X0,minus(minus(n6,n1),n1)) = a_select3(pminus_ds1_filter,minus(minus(n6,n1),n1),X0) | ~leq(n0,X0))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_200])])). 0.16/0.48 fof(f1018,plain,( 0.16/0.48 ( ! [X0] : (~leq(X0,minus(n6,n1)) | ~leq(n0,minus(minus(n6,n1),n1)) | ~leq(n0,X0) | a_select3(pminus_ds1_filter,X0,minus(minus(n6,n1),n1)) = a_select3(pminus_ds1_filter,minus(minus(n6,n1),n1),X0)) )), 0.16/0.48 inference(resolution,[],[f1011,f174])). 0.16/0.48 fof(f1007,plain,( 0.16/0.48 spl7_196 | ~spl7_118), 0.16/0.48 inference(avatar_split_clause,[],[f986,f686,f1005])). 0.16/0.48 fof(f1005,plain,( 0.16/0.48 spl7_196 <=> n1 = minus(n2,n1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_196])])). 0.16/0.48 fof(f686,plain,( 0.16/0.48 spl7_118 <=> succ(n1) = n2), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_118])])). 0.16/0.48 fof(f986,plain,( 0.16/0.48 n1 = minus(n2,n1) | ~spl7_118), 0.16/0.48 inference(superposition,[],[f251,f687])). 0.16/0.48 fof(f687,plain,( 0.16/0.48 succ(n1) = n2 | ~spl7_118), 0.16/0.48 inference(avatar_component_clause,[],[f686])). 0.16/0.48 fof(f251,plain,( 0.16/0.48 ( ! [X0] : (minus(succ(X0),n1) = X0) )), 0.16/0.48 inference(definition_unfolding,[],[f247,f199])). 0.16/0.48 fof(f247,plain,( 0.16/0.48 ( ! [X0] : (pred(succ(X0)) = X0) )), 0.16/0.48 inference(cnf_transformation,[],[f10])). 0.16/0.48 fof(f10,axiom,( 0.16/0.48 ! [X0] : pred(succ(X0)) = X0), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ)). 0.16/0.48 fof(f1000,plain,( 0.16/0.48 spl7_194 | ~spl7_98), 0.16/0.48 inference(avatar_split_clause,[],[f985,f614,f998])). 0.16/0.48 fof(f998,plain,( 0.16/0.48 spl7_194 <=> minus(n0,n1) = tptp_minus_1), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_194])])). 0.16/0.48 fof(f614,plain,( 0.16/0.48 spl7_98 <=> succ(tptp_minus_1) = n0), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_98])])). 0.16/0.48 fof(f985,plain,( 0.16/0.48 minus(n0,n1) = tptp_minus_1 | ~spl7_98), 0.16/0.48 inference(superposition,[],[f251,f615])). 0.16/0.48 fof(f615,plain,( 0.16/0.48 succ(tptp_minus_1) = n0 | ~spl7_98), 0.16/0.48 inference(avatar_component_clause,[],[f614])). 0.16/0.48 fof(f993,plain,( 0.16/0.48 spl7_192 | ~spl7_50), 0.16/0.48 inference(avatar_split_clause,[],[f984,f446,f991])). 0.16/0.48 fof(f991,plain,( 0.16/0.48 spl7_192 <=> minus(n1,n1) = n0), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_192])])). 0.16/0.48 fof(f446,plain,( 0.16/0.48 spl7_50 <=> succ(n0) = n1), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_50])])). 0.16/0.48 fof(f984,plain,( 0.16/0.48 minus(n1,n1) = n0 | ~spl7_50), 0.16/0.48 inference(superposition,[],[f251,f447])). 0.16/0.48 fof(f447,plain,( 0.16/0.48 succ(n0) = n1 | ~spl7_50), 0.16/0.48 inference(avatar_component_clause,[],[f446])). 0.16/0.48 fof(f979,plain,( 0.16/0.48 spl7_190 | ~spl7_54), 0.16/0.48 inference(avatar_split_clause,[],[f727,f460,f977])). 0.16/0.48 fof(f977,plain,( 0.16/0.48 spl7_190 <=> leq(n6,n999)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_190])])). 0.16/0.48 fof(f460,plain,( 0.16/0.48 spl7_54 <=> gt(n999,n6)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_54])])). 0.16/0.48 fof(f727,plain,( 0.16/0.48 leq(n6,n999) | ~spl7_54), 0.16/0.48 inference(resolution,[],[f195,f461])). 0.16/0.48 fof(f461,plain,( 0.16/0.48 gt(n999,n6) | ~spl7_54), 0.16/0.48 inference(avatar_component_clause,[],[f460])). 0.16/0.48 fof(f972,plain,( 0.16/0.48 spl7_188 | ~spl7_60), 0.16/0.48 inference(avatar_split_clause,[],[f726,f481,f970])). 0.16/0.48 fof(f970,plain,( 0.16/0.48 spl7_188 <=> leq(tptp_minus_1,n999)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_188])])). 0.16/0.48 fof(f481,plain,( 0.16/0.48 spl7_60 <=> gt(n999,tptp_minus_1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_60])])). 0.16/0.48 fof(f726,plain,( 0.16/0.48 leq(tptp_minus_1,n999) | ~spl7_60), 0.16/0.48 inference(resolution,[],[f195,f482])). 0.16/0.48 fof(f482,plain,( 0.16/0.48 gt(n999,tptp_minus_1) | ~spl7_60), 0.16/0.48 inference(avatar_component_clause,[],[f481])). 0.16/0.48 fof(f965,plain,( 0.16/0.48 spl7_186 | ~spl7_64), 0.16/0.48 inference(avatar_split_clause,[],[f725,f495,f963])). 0.16/0.48 fof(f963,plain,( 0.16/0.48 spl7_186 <=> leq(n2,n999)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_186])])). 0.16/0.48 fof(f495,plain,( 0.16/0.48 spl7_64 <=> gt(n999,n2)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_64])])). 0.16/0.48 fof(f725,plain,( 0.16/0.48 leq(n2,n999) | ~spl7_64), 0.16/0.48 inference(resolution,[],[f195,f496])). 0.16/0.48 fof(f496,plain,( 0.16/0.48 gt(n999,n2) | ~spl7_64), 0.16/0.48 inference(avatar_component_clause,[],[f495])). 0.16/0.48 fof(f958,plain,( 0.16/0.48 spl7_184 | ~spl7_66), 0.16/0.48 inference(avatar_split_clause,[],[f724,f502,f956])). 0.16/0.48 fof(f956,plain,( 0.16/0.48 spl7_184 <=> leq(n3,n999)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_184])])). 0.16/0.48 fof(f502,plain,( 0.16/0.48 spl7_66 <=> gt(n999,n3)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_66])])). 0.16/0.48 fof(f724,plain,( 0.16/0.48 leq(n3,n999) | ~spl7_66), 0.16/0.48 inference(resolution,[],[f195,f503])). 0.16/0.48 fof(f503,plain,( 0.16/0.48 gt(n999,n3) | ~spl7_66), 0.16/0.48 inference(avatar_component_clause,[],[f502])). 0.16/0.48 fof(f951,plain,( 0.16/0.48 spl7_182 | ~spl7_56), 0.16/0.48 inference(avatar_split_clause,[],[f723,f467,f949])). 0.16/0.48 fof(f949,plain,( 0.16/0.48 spl7_182 <=> leq(n0,n999)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_182])])). 0.16/0.48 fof(f467,plain,( 0.16/0.48 spl7_56 <=> gt(n999,n0)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_56])])). 0.16/0.48 fof(f723,plain,( 0.16/0.48 leq(n0,n999) | ~spl7_56), 0.16/0.48 inference(resolution,[],[f195,f468])). 0.16/0.48 fof(f468,plain,( 0.16/0.48 gt(n999,n0) | ~spl7_56), 0.16/0.48 inference(avatar_component_clause,[],[f467])). 0.16/0.48 fof(f944,plain,( 0.16/0.48 spl7_180 | ~spl7_68), 0.16/0.48 inference(avatar_split_clause,[],[f722,f509,f942])). 0.16/0.48 fof(f942,plain,( 0.16/0.48 spl7_180 <=> leq(n4,n999)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_180])])). 0.16/0.48 fof(f509,plain,( 0.16/0.48 spl7_68 <=> gt(n999,n4)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_68])])). 0.16/0.48 fof(f722,plain,( 0.16/0.48 leq(n4,n999) | ~spl7_68), 0.16/0.48 inference(resolution,[],[f195,f510])). 0.16/0.48 fof(f510,plain,( 0.16/0.48 gt(n999,n4) | ~spl7_68), 0.16/0.48 inference(avatar_component_clause,[],[f509])). 0.16/0.48 fof(f937,plain,( 0.16/0.48 spl7_178 | ~spl7_62), 0.16/0.48 inference(avatar_split_clause,[],[f721,f488,f935])). 0.16/0.48 fof(f935,plain,( 0.16/0.48 spl7_178 <=> leq(n1,n999)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_178])])). 0.16/0.48 fof(f488,plain,( 0.16/0.48 spl7_62 <=> gt(n999,n1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_62])])). 0.16/0.48 fof(f721,plain,( 0.16/0.48 leq(n1,n999) | ~spl7_62), 0.16/0.48 inference(resolution,[],[f195,f489])). 0.16/0.48 fof(f489,plain,( 0.16/0.48 gt(n999,n1) | ~spl7_62), 0.16/0.48 inference(avatar_component_clause,[],[f488])). 0.16/0.48 fof(f930,plain,( 0.16/0.48 spl7_176 | ~spl7_58), 0.16/0.48 inference(avatar_split_clause,[],[f720,f474,f928])). 0.16/0.48 fof(f928,plain,( 0.16/0.48 spl7_176 <=> leq(n5,n999)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_176])])). 0.16/0.48 fof(f474,plain,( 0.16/0.48 spl7_58 <=> gt(n999,n5)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_58])])). 0.16/0.48 fof(f720,plain,( 0.16/0.48 leq(n5,n999) | ~spl7_58), 0.16/0.48 inference(resolution,[],[f195,f475])). 0.16/0.48 fof(f475,plain,( 0.16/0.48 gt(n999,n5) | ~spl7_58), 0.16/0.48 inference(avatar_component_clause,[],[f474])). 0.16/0.48 fof(f923,plain,( 0.16/0.48 spl7_174 | ~spl7_34), 0.16/0.48 inference(avatar_split_clause,[],[f719,f390,f921])). 0.16/0.48 fof(f921,plain,( 0.16/0.48 spl7_174 <=> leq(tptp_minus_1,n6)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_174])])). 0.16/0.48 fof(f390,plain,( 0.16/0.48 spl7_34 <=> gt(n6,tptp_minus_1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_34])])). 0.16/0.48 fof(f719,plain,( 0.16/0.48 leq(tptp_minus_1,n6) | ~spl7_34), 0.16/0.48 inference(resolution,[],[f195,f391])). 0.16/0.48 fof(f391,plain,( 0.16/0.48 gt(n6,tptp_minus_1) | ~spl7_34), 0.16/0.48 inference(avatar_component_clause,[],[f390])). 0.16/0.48 fof(f916,plain,( 0.16/0.48 spl7_172 | ~spl7_40), 0.16/0.48 inference(avatar_split_clause,[],[f718,f411,f914])). 0.16/0.48 fof(f914,plain,( 0.16/0.48 spl7_172 <=> leq(n2,n6)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_172])])). 0.16/0.48 fof(f411,plain,( 0.16/0.48 spl7_40 <=> gt(n6,n2)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_40])])). 0.16/0.48 fof(f718,plain,( 0.16/0.48 leq(n2,n6) | ~spl7_40), 0.16/0.48 inference(resolution,[],[f195,f412])). 0.16/0.48 fof(f412,plain,( 0.16/0.48 gt(n6,n2) | ~spl7_40), 0.16/0.48 inference(avatar_component_clause,[],[f411])). 0.16/0.48 fof(f909,plain,( 0.16/0.48 spl7_170 | ~spl7_32), 0.16/0.48 inference(avatar_split_clause,[],[f717,f383,f907])). 0.16/0.48 fof(f907,plain,( 0.16/0.48 spl7_170 <=> leq(n3,n6)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_170])])). 0.16/0.48 fof(f383,plain,( 0.16/0.48 spl7_32 <=> gt(n6,n3)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_32])])). 0.16/0.48 fof(f717,plain,( 0.16/0.48 leq(n3,n6) | ~spl7_32), 0.16/0.48 inference(resolution,[],[f195,f384])). 0.16/0.48 fof(f384,plain,( 0.16/0.48 gt(n6,n3) | ~spl7_32), 0.16/0.48 inference(avatar_component_clause,[],[f383])). 0.16/0.48 fof(f902,plain,( 0.16/0.48 spl7_168 | ~spl7_38), 0.16/0.48 inference(avatar_split_clause,[],[f716,f404,f900])). 0.16/0.48 fof(f900,plain,( 0.16/0.48 spl7_168 <=> leq(n0,n6)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_168])])). 0.16/0.48 fof(f404,plain,( 0.16/0.48 spl7_38 <=> gt(n6,n0)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_38])])). 0.16/0.48 fof(f716,plain,( 0.16/0.48 leq(n0,n6) | ~spl7_38), 0.16/0.48 inference(resolution,[],[f195,f405])). 0.16/0.48 fof(f405,plain,( 0.16/0.48 gt(n6,n0) | ~spl7_38), 0.16/0.48 inference(avatar_component_clause,[],[f404])). 0.16/0.48 fof(f895,plain,( 0.16/0.48 spl7_166 | ~spl7_36), 0.16/0.48 inference(avatar_split_clause,[],[f715,f397,f893])). 0.16/0.48 fof(f893,plain,( 0.16/0.48 spl7_166 <=> leq(n4,n6)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_166])])). 0.16/0.48 fof(f397,plain,( 0.16/0.48 spl7_36 <=> gt(n6,n4)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_36])])). 0.16/0.48 fof(f715,plain,( 0.16/0.48 leq(n4,n6) | ~spl7_36), 0.16/0.48 inference(resolution,[],[f195,f398])). 0.16/0.48 fof(f398,plain,( 0.16/0.48 gt(n6,n4) | ~spl7_36), 0.16/0.48 inference(avatar_component_clause,[],[f397])). 0.16/0.48 fof(f888,plain,( 0.16/0.48 spl7_164 | ~spl7_28), 0.16/0.48 inference(avatar_split_clause,[],[f714,f369,f886])). 0.16/0.48 fof(f886,plain,( 0.16/0.48 spl7_164 <=> leq(n1,n6)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_164])])). 0.16/0.48 fof(f369,plain,( 0.16/0.48 spl7_28 <=> gt(n6,n1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_28])])). 0.16/0.48 fof(f714,plain,( 0.16/0.48 leq(n1,n6) | ~spl7_28), 0.16/0.48 inference(resolution,[],[f195,f370])). 0.16/0.48 fof(f370,plain,( 0.16/0.48 gt(n6,n1) | ~spl7_28), 0.16/0.48 inference(avatar_component_clause,[],[f369])). 0.16/0.48 fof(f881,plain,( 0.16/0.48 spl7_162 | ~spl7_30), 0.16/0.48 inference(avatar_split_clause,[],[f713,f376,f879])). 0.16/0.48 fof(f879,plain,( 0.16/0.48 spl7_162 <=> leq(n5,n6)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_162])])). 0.16/0.48 fof(f376,plain,( 0.16/0.48 spl7_30 <=> gt(n6,n5)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_30])])). 0.16/0.48 fof(f713,plain,( 0.16/0.48 leq(n5,n6) | ~spl7_30), 0.16/0.48 inference(resolution,[],[f195,f377])). 0.16/0.48 fof(f377,plain,( 0.16/0.48 gt(n6,n5) | ~spl7_30), 0.16/0.48 inference(avatar_component_clause,[],[f376])). 0.16/0.48 fof(f874,plain,( 0.16/0.48 spl7_160 | ~spl7_100), 0.16/0.48 inference(avatar_split_clause,[],[f712,f621,f872])). 0.16/0.48 fof(f872,plain,( 0.16/0.48 spl7_160 <=> leq(tptp_minus_1,n2)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_160])])). 0.16/0.48 fof(f621,plain,( 0.16/0.48 spl7_100 <=> gt(n2,tptp_minus_1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_100])])). 0.16/0.48 fof(f712,plain,( 0.16/0.48 leq(tptp_minus_1,n2) | ~spl7_100), 0.16/0.48 inference(resolution,[],[f195,f622])). 0.16/0.48 fof(f622,plain,( 0.16/0.48 gt(n2,tptp_minus_1) | ~spl7_100), 0.16/0.48 inference(avatar_component_clause,[],[f621])). 0.16/0.48 fof(f867,plain,( 0.16/0.48 spl7_158 | ~spl7_96), 0.16/0.48 inference(avatar_split_clause,[],[f711,f607,f865])). 0.16/0.48 fof(f865,plain,( 0.16/0.48 spl7_158 <=> leq(n0,n2)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_158])])). 0.16/0.48 fof(f607,plain,( 0.16/0.48 spl7_96 <=> gt(n2,n0)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_96])])). 0.16/0.48 fof(f711,plain,( 0.16/0.48 leq(n0,n2) | ~spl7_96), 0.16/0.48 inference(resolution,[],[f195,f608])). 0.16/0.48 fof(f608,plain,( 0.16/0.48 gt(n2,n0) | ~spl7_96), 0.16/0.48 inference(avatar_component_clause,[],[f607])). 0.16/0.48 fof(f860,plain,( 0.16/0.48 spl7_156 | ~spl7_94), 0.16/0.48 inference(avatar_split_clause,[],[f710,f600,f858])). 0.16/0.48 fof(f858,plain,( 0.16/0.48 spl7_156 <=> leq(n1,n2)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_156])])). 0.16/0.48 fof(f600,plain,( 0.16/0.48 spl7_94 <=> gt(n2,n1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_94])])). 0.16/0.48 fof(f710,plain,( 0.16/0.48 leq(n1,n2) | ~spl7_94), 0.16/0.48 inference(resolution,[],[f195,f601])). 0.16/0.48 fof(f601,plain,( 0.16/0.48 gt(n2,n1) | ~spl7_94), 0.16/0.48 inference(avatar_component_clause,[],[f600])). 0.16/0.48 fof(f853,plain,( 0.16/0.48 spl7_154 | ~spl7_106), 0.16/0.48 inference(avatar_split_clause,[],[f709,f642,f851])). 0.16/0.48 fof(f851,plain,( 0.16/0.48 spl7_154 <=> leq(tptp_minus_1,n3)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_154])])). 0.16/0.48 fof(f642,plain,( 0.16/0.48 spl7_106 <=> gt(n3,tptp_minus_1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_106])])). 0.16/0.48 fof(f709,plain,( 0.16/0.48 leq(tptp_minus_1,n3) | ~spl7_106), 0.16/0.48 inference(resolution,[],[f195,f643])). 0.16/0.48 fof(f643,plain,( 0.16/0.48 gt(n3,tptp_minus_1) | ~spl7_106), 0.16/0.48 inference(avatar_component_clause,[],[f642])). 0.16/0.48 fof(f846,plain,( 0.16/0.48 spl7_152 | ~spl7_46), 0.16/0.48 inference(avatar_split_clause,[],[f708,f432,f844])). 0.16/0.48 fof(f844,plain,( 0.16/0.48 spl7_152 <=> leq(n2,n3)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_152])])). 0.16/0.48 fof(f432,plain,( 0.16/0.48 spl7_46 <=> gt(n3,n2)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_46])])). 0.16/0.48 fof(f708,plain,( 0.16/0.48 leq(n2,n3) | ~spl7_46), 0.16/0.48 inference(resolution,[],[f195,f433])). 0.16/0.48 fof(f433,plain,( 0.16/0.48 gt(n3,n2) | ~spl7_46), 0.16/0.48 inference(avatar_component_clause,[],[f432])). 0.16/0.48 fof(f839,plain,( 0.16/0.48 spl7_150 | ~spl7_44), 0.16/0.48 inference(avatar_split_clause,[],[f707,f425,f837])). 0.16/0.48 fof(f837,plain,( 0.16/0.48 spl7_150 <=> leq(n0,n3)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_150])])). 0.16/0.48 fof(f425,plain,( 0.16/0.48 spl7_44 <=> gt(n3,n0)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_44])])). 0.16/0.48 fof(f707,plain,( 0.16/0.48 leq(n0,n3) | ~spl7_44), 0.16/0.48 inference(resolution,[],[f195,f426])). 0.16/0.48 fof(f426,plain,( 0.16/0.48 gt(n3,n0) | ~spl7_44), 0.16/0.48 inference(avatar_component_clause,[],[f425])). 0.16/0.48 fof(f832,plain,( 0.16/0.48 spl7_148 | ~spl7_48), 0.16/0.48 inference(avatar_split_clause,[],[f706,f439,f830])). 0.16/0.48 fof(f830,plain,( 0.16/0.48 spl7_148 <=> leq(n1,n3)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_148])])). 0.16/0.48 fof(f439,plain,( 0.16/0.48 spl7_48 <=> gt(n3,n1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_48])])). 0.16/0.48 fof(f706,plain,( 0.16/0.48 leq(n1,n3) | ~spl7_48), 0.16/0.48 inference(resolution,[],[f195,f440])). 0.16/0.48 fof(f440,plain,( 0.16/0.48 gt(n3,n1) | ~spl7_48), 0.16/0.48 inference(avatar_component_clause,[],[f439])). 0.16/0.48 fof(f825,plain,( 0.16/0.48 spl7_146 | ~spl7_102), 0.16/0.48 inference(avatar_split_clause,[],[f705,f628,f823])). 0.16/0.48 fof(f823,plain,( 0.16/0.48 spl7_146 <=> leq(tptp_minus_1,n0)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_146])])). 0.16/0.48 fof(f628,plain,( 0.16/0.48 spl7_102 <=> gt(n0,tptp_minus_1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_102])])). 0.16/0.48 fof(f705,plain,( 0.16/0.48 leq(tptp_minus_1,n0) | ~spl7_102), 0.16/0.48 inference(resolution,[],[f195,f629])). 0.16/0.48 fof(f629,plain,( 0.16/0.48 gt(n0,tptp_minus_1) | ~spl7_102), 0.16/0.48 inference(avatar_component_clause,[],[f628])). 0.16/0.48 fof(f818,plain,( 0.16/0.48 spl7_144 | ~spl7_108), 0.16/0.48 inference(avatar_split_clause,[],[f704,f649,f816])). 0.16/0.48 fof(f816,plain,( 0.16/0.48 spl7_144 <=> leq(tptp_minus_1,n4)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_144])])). 0.16/0.48 fof(f649,plain,( 0.16/0.48 spl7_108 <=> gt(n4,tptp_minus_1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_108])])). 0.16/0.48 fof(f704,plain,( 0.16/0.48 leq(tptp_minus_1,n4) | ~spl7_108), 0.16/0.48 inference(resolution,[],[f195,f650])). 0.16/0.48 fof(f650,plain,( 0.16/0.48 gt(n4,tptp_minus_1) | ~spl7_108), 0.16/0.48 inference(avatar_component_clause,[],[f649])). 0.16/0.48 fof(f811,plain,( 0.16/0.48 spl7_142 | ~spl7_74), 0.16/0.48 inference(avatar_split_clause,[],[f703,f530,f809])). 0.16/0.48 fof(f809,plain,( 0.16/0.48 spl7_142 <=> leq(n2,n4)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_142])])). 0.16/0.48 fof(f530,plain,( 0.16/0.48 spl7_74 <=> gt(n4,n2)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_74])])). 0.16/0.48 fof(f703,plain,( 0.16/0.48 leq(n2,n4) | ~spl7_74), 0.16/0.48 inference(resolution,[],[f195,f531])). 0.16/0.48 fof(f531,plain,( 0.16/0.48 gt(n4,n2) | ~spl7_74), 0.16/0.48 inference(avatar_component_clause,[],[f530])). 0.16/0.48 fof(f804,plain,( 0.16/0.48 spl7_140 | ~spl7_72), 0.16/0.48 inference(avatar_split_clause,[],[f702,f523,f802])). 0.16/0.48 fof(f802,plain,( 0.16/0.48 spl7_140 <=> leq(n3,n4)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_140])])). 0.16/0.48 fof(f523,plain,( 0.16/0.48 spl7_72 <=> gt(n4,n3)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_72])])). 0.16/0.48 fof(f702,plain,( 0.16/0.48 leq(n3,n4) | ~spl7_72), 0.16/0.48 inference(resolution,[],[f195,f524])). 0.16/0.48 fof(f524,plain,( 0.16/0.48 gt(n4,n3) | ~spl7_72), 0.16/0.48 inference(avatar_component_clause,[],[f523])). 0.16/0.48 fof(f797,plain,( 0.16/0.48 spl7_138 | ~spl7_76), 0.16/0.48 inference(avatar_split_clause,[],[f701,f537,f795])). 0.16/0.48 fof(f795,plain,( 0.16/0.48 spl7_138 <=> leq(n0,n4)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_138])])). 0.16/0.48 fof(f537,plain,( 0.16/0.48 spl7_76 <=> gt(n4,n0)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_76])])). 0.16/0.48 fof(f701,plain,( 0.16/0.48 leq(n0,n4) | ~spl7_76), 0.16/0.48 inference(resolution,[],[f195,f538])). 0.16/0.48 fof(f538,plain,( 0.16/0.48 gt(n4,n0) | ~spl7_76), 0.16/0.48 inference(avatar_component_clause,[],[f537])). 0.16/0.48 fof(f790,plain,( 0.16/0.48 spl7_136 | ~spl7_78), 0.16/0.48 inference(avatar_split_clause,[],[f700,f544,f788])). 0.16/0.48 fof(f788,plain,( 0.16/0.48 spl7_136 <=> leq(n1,n4)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_136])])). 0.16/0.48 fof(f544,plain,( 0.16/0.48 spl7_78 <=> gt(n4,n1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_78])])). 0.16/0.48 fof(f700,plain,( 0.16/0.48 leq(n1,n4) | ~spl7_78), 0.16/0.48 inference(resolution,[],[f195,f545])). 0.16/0.48 fof(f545,plain,( 0.16/0.48 gt(n4,n1) | ~spl7_78), 0.16/0.48 inference(avatar_component_clause,[],[f544])). 0.16/0.48 fof(f783,plain,( 0.16/0.48 spl7_134 | ~spl7_104), 0.16/0.48 inference(avatar_split_clause,[],[f699,f635,f781])). 0.16/0.48 fof(f781,plain,( 0.16/0.48 spl7_134 <=> leq(tptp_minus_1,n1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_134])])). 0.16/0.48 fof(f635,plain,( 0.16/0.48 spl7_104 <=> gt(n1,tptp_minus_1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_104])])). 0.16/0.48 fof(f699,plain,( 0.16/0.48 leq(tptp_minus_1,n1) | ~spl7_104), 0.16/0.48 inference(resolution,[],[f195,f636])). 0.16/0.48 fof(f636,plain,( 0.16/0.48 gt(n1,tptp_minus_1) | ~spl7_104), 0.16/0.48 inference(avatar_component_clause,[],[f635])). 0.16/0.48 fof(f776,plain,( 0.16/0.48 spl7_132 | ~spl7_52), 0.16/0.48 inference(avatar_split_clause,[],[f698,f453,f774])). 0.16/0.48 fof(f774,plain,( 0.16/0.48 spl7_132 <=> leq(n0,n1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_132])])). 0.16/0.48 fof(f453,plain,( 0.16/0.48 spl7_52 <=> gt(n1,n0)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_52])])). 0.16/0.48 fof(f698,plain,( 0.16/0.48 leq(n0,n1) | ~spl7_52), 0.16/0.48 inference(resolution,[],[f195,f454])). 0.16/0.48 fof(f454,plain,( 0.16/0.48 gt(n1,n0) | ~spl7_52), 0.16/0.48 inference(avatar_component_clause,[],[f453])). 0.16/0.48 fof(f769,plain,( 0.16/0.48 spl7_130 | ~spl7_110), 0.16/0.48 inference(avatar_split_clause,[],[f697,f656,f767])). 0.16/0.48 fof(f767,plain,( 0.16/0.48 spl7_130 <=> leq(tptp_minus_1,n5)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_130])])). 0.16/0.48 fof(f656,plain,( 0.16/0.48 spl7_110 <=> gt(n5,tptp_minus_1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_110])])). 0.16/0.48 fof(f697,plain,( 0.16/0.48 leq(tptp_minus_1,n5) | ~spl7_110), 0.16/0.48 inference(resolution,[],[f195,f657])). 0.16/0.48 fof(f657,plain,( 0.16/0.48 gt(n5,tptp_minus_1) | ~spl7_110), 0.16/0.48 inference(avatar_component_clause,[],[f656])). 0.16/0.48 fof(f762,plain,( 0.16/0.48 spl7_128 | ~spl7_82), 0.16/0.48 inference(avatar_split_clause,[],[f696,f558,f760])). 0.16/0.48 fof(f760,plain,( 0.16/0.48 spl7_128 <=> leq(n2,n5)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_128])])). 0.16/0.48 fof(f558,plain,( 0.16/0.48 spl7_82 <=> gt(n5,n2)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_82])])). 0.16/0.48 fof(f696,plain,( 0.16/0.48 leq(n2,n5) | ~spl7_82), 0.16/0.48 inference(resolution,[],[f195,f559])). 0.16/0.48 fof(f559,plain,( 0.16/0.48 gt(n5,n2) | ~spl7_82), 0.16/0.48 inference(avatar_component_clause,[],[f558])). 0.16/0.48 fof(f755,plain,( 0.16/0.48 spl7_126 | ~spl7_88), 0.16/0.48 inference(avatar_split_clause,[],[f695,f579,f753])). 0.16/0.48 fof(f753,plain,( 0.16/0.48 spl7_126 <=> leq(n3,n5)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_126])])). 0.16/0.48 fof(f579,plain,( 0.16/0.48 spl7_88 <=> gt(n5,n3)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_88])])). 0.16/0.48 fof(f695,plain,( 0.16/0.48 leq(n3,n5) | ~spl7_88), 0.16/0.48 inference(resolution,[],[f195,f580])). 0.16/0.48 fof(f580,plain,( 0.16/0.48 gt(n5,n3) | ~spl7_88), 0.16/0.48 inference(avatar_component_clause,[],[f579])). 0.16/0.48 fof(f748,plain,( 0.16/0.48 spl7_124 | ~spl7_90), 0.16/0.48 inference(avatar_split_clause,[],[f694,f586,f746])). 0.16/0.48 fof(f746,plain,( 0.16/0.48 spl7_124 <=> leq(n0,n5)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_124])])). 0.16/0.48 fof(f586,plain,( 0.16/0.48 spl7_90 <=> gt(n5,n0)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_90])])). 0.16/0.48 fof(f694,plain,( 0.16/0.48 leq(n0,n5) | ~spl7_90), 0.16/0.48 inference(resolution,[],[f195,f587])). 0.16/0.48 fof(f587,plain,( 0.16/0.48 gt(n5,n0) | ~spl7_90), 0.16/0.48 inference(avatar_component_clause,[],[f586])). 0.16/0.48 fof(f741,plain,( 0.16/0.48 spl7_122 | ~spl7_86), 0.16/0.48 inference(avatar_split_clause,[],[f693,f572,f739])). 0.16/0.48 fof(f739,plain,( 0.16/0.48 spl7_122 <=> leq(n4,n5)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_122])])). 0.16/0.48 fof(f572,plain,( 0.16/0.48 spl7_86 <=> gt(n5,n4)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_86])])). 0.16/0.48 fof(f693,plain,( 0.16/0.48 leq(n4,n5) | ~spl7_86), 0.16/0.48 inference(resolution,[],[f195,f573])). 0.16/0.48 fof(f573,plain,( 0.16/0.48 gt(n5,n4) | ~spl7_86), 0.16/0.48 inference(avatar_component_clause,[],[f572])). 0.16/0.48 fof(f734,plain,( 0.16/0.48 spl7_120 | ~spl7_84), 0.16/0.48 inference(avatar_split_clause,[],[f692,f565,f732])). 0.16/0.48 fof(f732,plain,( 0.16/0.48 spl7_120 <=> leq(n1,n5)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_120])])). 0.16/0.48 fof(f565,plain,( 0.16/0.48 spl7_84 <=> gt(n5,n1)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_84])])). 0.16/0.48 fof(f692,plain,( 0.16/0.48 leq(n1,n5) | ~spl7_84), 0.16/0.48 inference(resolution,[],[f195,f566])). 0.16/0.48 fof(f566,plain,( 0.16/0.48 gt(n5,n1) | ~spl7_84), 0.16/0.48 inference(avatar_component_clause,[],[f565])). 0.16/0.48 fof(f688,plain,( 0.16/0.48 spl7_118 | ~spl7_50 | ~spl7_92), 0.16/0.48 inference(avatar_split_clause,[],[f681,f593,f446,f686])). 0.16/0.48 fof(f593,plain,( 0.16/0.48 spl7_92 <=> succ(succ(n0)) = n2), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_92])])). 0.16/0.48 fof(f681,plain,( 0.16/0.48 succ(n1) = n2 | (~spl7_50 | ~spl7_92)), 0.16/0.48 inference(forward_demodulation,[],[f594,f447])). 0.16/0.48 fof(f594,plain,( 0.16/0.48 succ(succ(n0)) = n2 | ~spl7_92), 0.16/0.48 inference(avatar_component_clause,[],[f593])). 0.16/0.48 fof(f678,plain,( 0.16/0.48 ~spl7_115 | spl7_116), 0.16/0.48 inference(avatar_split_clause,[],[f668,f676,f673])). 0.16/0.48 fof(f673,plain,( 0.16/0.48 spl7_115 <=> ~leq(n0,minus(n6,n1))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_115])])). 0.16/0.48 fof(f676,plain,( 0.16/0.48 spl7_116 <=> ! [X0] : (~leq(n0,X0) | a_select3(id_ds1_filter,X0,minus(n6,n1)) = a_select3(id_ds1_filter,minus(n6,n1),X0) | ~leq(X0,minus(n6,n1)))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_116])])). 0.16/0.48 fof(f668,plain,( 0.16/0.48 ( ! [X0] : (~leq(n0,X0) | ~leq(X0,minus(n6,n1)) | ~leq(n0,minus(n6,n1)) | a_select3(id_ds1_filter,X0,minus(n6,n1)) = a_select3(id_ds1_filter,minus(n6,n1),X0)) )), 0.16/0.48 inference(resolution,[],[f147,f197])). 0.16/0.48 fof(f666,plain,( 0.16/0.48 spl7_112 | ~spl7_4), 0.16/0.48 inference(avatar_split_clause,[],[f659,f271,f664])). 0.16/0.48 fof(f659,plain,( 0.16/0.48 leq(n0,sK5) | ~spl7_4), 0.16/0.48 inference(resolution,[],[f142,f272])). 0.16/0.48 fof(f658,plain,( 0.16/0.48 spl7_110), 0.16/0.48 inference(avatar_split_clause,[],[f244,f656])). 0.16/0.48 fof(f244,plain,( 0.16/0.48 gt(n5,tptp_minus_1)), 0.16/0.48 inference(cnf_transformation,[],[f103])). 0.16/0.48 fof(f103,axiom,( 0.16/0.48 gt(n5,tptp_minus_1)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_tptp_minus_1)). 0.16/0.48 fof(f651,plain,( 0.16/0.48 spl7_108), 0.16/0.48 inference(avatar_split_clause,[],[f243,f649])). 0.16/0.48 fof(f243,plain,( 0.16/0.48 gt(n4,tptp_minus_1)), 0.16/0.48 inference(cnf_transformation,[],[f93])). 0.16/0.48 fof(f93,axiom,( 0.16/0.48 gt(n4,tptp_minus_1)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_tptp_minus_1)). 0.16/0.48 fof(f644,plain,( 0.16/0.48 spl7_106), 0.16/0.48 inference(avatar_split_clause,[],[f242,f642])). 0.16/0.48 fof(f242,plain,( 0.16/0.48 gt(n3,tptp_minus_1)), 0.16/0.48 inference(cnf_transformation,[],[f84])). 0.16/0.48 fof(f84,axiom,( 0.16/0.48 gt(n3,tptp_minus_1)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_tptp_minus_1)). 0.16/0.48 fof(f637,plain,( 0.16/0.48 spl7_104), 0.16/0.48 inference(avatar_split_clause,[],[f241,f635])). 0.16/0.48 fof(f241,plain,( 0.16/0.48 gt(n1,tptp_minus_1)), 0.16/0.48 inference(cnf_transformation,[],[f77])). 0.16/0.48 fof(f77,axiom,( 0.16/0.48 gt(n1,tptp_minus_1)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_tptp_minus_1)). 0.16/0.48 fof(f630,plain,( 0.16/0.48 spl7_102), 0.16/0.48 inference(avatar_split_clause,[],[f240,f628])). 0.16/0.48 fof(f240,plain,( 0.16/0.48 gt(n0,tptp_minus_1)), 0.16/0.48 inference(cnf_transformation,[],[f66])). 0.16/0.48 fof(f66,axiom,( 0.16/0.48 gt(n0,tptp_minus_1)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_0_tptp_minus_1)). 0.16/0.48 fof(f623,plain,( 0.16/0.48 spl7_100), 0.16/0.48 inference(avatar_split_clause,[],[f239,f621])). 0.16/0.48 fof(f239,plain,( 0.16/0.48 gt(n2,tptp_minus_1)), 0.16/0.48 inference(cnf_transformation,[],[f55])). 0.16/0.48 fof(f55,axiom,( 0.16/0.48 gt(n2,tptp_minus_1)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_tptp_minus_1)). 0.16/0.48 fof(f616,plain,( 0.16/0.48 spl7_98), 0.16/0.48 inference(avatar_split_clause,[],[f238,f614])). 0.16/0.48 fof(f238,plain,( 0.16/0.48 succ(tptp_minus_1) = n0), 0.16/0.48 inference(cnf_transformation,[],[f52])). 0.16/0.48 fof(f52,axiom,( 0.16/0.48 succ(tptp_minus_1) = n0), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1)). 0.16/0.48 fof(f609,plain,( 0.16/0.48 spl7_96), 0.16/0.48 inference(avatar_split_clause,[],[f227,f607])). 0.16/0.48 fof(f227,plain,( 0.16/0.48 gt(n2,n0)), 0.16/0.48 inference(cnf_transformation,[],[f74])). 0.16/0.48 fof(f74,axiom,( 0.16/0.48 gt(n2,n0)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0)). 0.16/0.48 fof(f602,plain,( 0.16/0.48 spl7_94), 0.16/0.48 inference(avatar_split_clause,[],[f226,f600])). 0.16/0.48 fof(f226,plain,( 0.16/0.48 gt(n2,n1)), 0.16/0.48 inference(cnf_transformation,[],[f78])). 0.16/0.48 fof(f78,axiom,( 0.16/0.48 gt(n2,n1)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1)). 0.16/0.48 fof(f595,plain,( 0.16/0.48 spl7_92), 0.16/0.48 inference(avatar_split_clause,[],[f225,f593])). 0.16/0.48 fof(f225,plain,( 0.16/0.48 succ(succ(n0)) = n2), 0.16/0.48 inference(cnf_transformation,[],[f54])). 0.16/0.48 fof(f54,axiom,( 0.16/0.48 succ(succ(n0)) = n2), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2)). 0.16/0.48 fof(f588,plain,( 0.16/0.48 spl7_90), 0.16/0.48 inference(avatar_split_clause,[],[f223,f586])). 0.16/0.48 fof(f223,plain,( 0.16/0.48 gt(n5,n0)), 0.16/0.48 inference(cnf_transformation,[],[f100])). 0.16/0.48 fof(f100,axiom,( 0.16/0.48 gt(n5,n0)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0)). 0.16/0.48 fof(f581,plain,( 0.16/0.48 spl7_88), 0.16/0.48 inference(avatar_split_clause,[],[f222,f579])). 0.16/0.48 fof(f222,plain,( 0.16/0.48 gt(n5,n3)), 0.16/0.48 inference(cnf_transformation,[],[f98])). 0.16/0.48 fof(f98,axiom,( 0.16/0.48 gt(n5,n3)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3)). 0.16/0.48 fof(f574,plain,( 0.16/0.48 spl7_86), 0.16/0.48 inference(avatar_split_clause,[],[f221,f572])). 0.16/0.48 fof(f221,plain,( 0.16/0.48 gt(n5,n4)), 0.16/0.48 inference(cnf_transformation,[],[f92])). 0.16/0.48 fof(f92,axiom,( 0.16/0.48 gt(n5,n4)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4)). 0.16/0.48 fof(f567,plain,( 0.16/0.48 spl7_84), 0.16/0.48 inference(avatar_split_clause,[],[f220,f565])). 0.16/0.48 fof(f220,plain,( 0.16/0.48 gt(n5,n1)), 0.16/0.48 inference(cnf_transformation,[],[f70])). 0.16/0.48 fof(f70,axiom,( 0.16/0.48 gt(n5,n1)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_1)). 0.16/0.48 fof(f560,plain,( 0.16/0.48 spl7_82), 0.16/0.48 inference(avatar_split_clause,[],[f219,f558])). 0.16/0.48 fof(f219,plain,( 0.16/0.48 gt(n5,n2)), 0.16/0.48 inference(cnf_transformation,[],[f58])). 0.16/0.48 fof(f58,axiom,( 0.16/0.48 gt(n5,n2)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_2)). 0.16/0.48 fof(f553,plain,( 0.16/0.48 spl7_80), 0.16/0.48 inference(avatar_split_clause,[],[f218,f551])). 0.16/0.48 fof(f551,plain,( 0.16/0.48 spl7_80 <=> succ(succ(succ(succ(succ(n0))))) = n5), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_80])])). 0.16/0.48 fof(f218,plain,( 0.16/0.48 succ(succ(succ(succ(succ(n0))))) = n5), 0.16/0.48 inference(cnf_transformation,[],[f96])). 0.16/0.48 fof(f96,axiom,( 0.16/0.48 succ(succ(succ(succ(succ(n0))))) = n5), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5)). 0.16/0.48 fof(f546,plain,( 0.16/0.48 spl7_78), 0.16/0.48 inference(avatar_split_clause,[],[f216,f544])). 0.16/0.48 fof(f216,plain,( 0.16/0.48 gt(n4,n1)), 0.16/0.48 inference(cnf_transformation,[],[f87])). 0.16/0.48 fof(f87,axiom,( 0.16/0.48 gt(n4,n1)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1)). 0.16/0.48 fof(f539,plain,( 0.16/0.48 spl7_76), 0.16/0.48 inference(avatar_split_clause,[],[f215,f537])). 0.16/0.48 fof(f215,plain,( 0.16/0.48 gt(n4,n0)), 0.16/0.48 inference(cnf_transformation,[],[f83])). 0.16/0.48 fof(f83,axiom,( 0.16/0.48 gt(n4,n0)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0)). 0.16/0.48 fof(f532,plain,( 0.16/0.48 spl7_74), 0.16/0.48 inference(avatar_split_clause,[],[f214,f530])). 0.16/0.48 fof(f214,plain,( 0.16/0.48 gt(n4,n2)), 0.16/0.48 inference(cnf_transformation,[],[f79])). 0.16/0.48 fof(f79,axiom,( 0.16/0.48 gt(n4,n2)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2)). 0.16/0.48 fof(f525,plain,( 0.16/0.48 spl7_72), 0.16/0.48 inference(avatar_split_clause,[],[f213,f523])). 0.16/0.48 fof(f213,plain,( 0.16/0.48 gt(n4,n3)), 0.16/0.48 inference(cnf_transformation,[],[f76])). 0.16/0.48 fof(f76,axiom,( 0.16/0.48 gt(n4,n3)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3)). 0.16/0.48 fof(f518,plain,( 0.16/0.48 spl7_70), 0.16/0.48 inference(avatar_split_clause,[],[f212,f516])). 0.16/0.48 fof(f516,plain,( 0.16/0.48 spl7_70 <=> succ(succ(succ(succ(n0)))) = n4), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_70])])). 0.16/0.48 fof(f212,plain,( 0.16/0.48 succ(succ(succ(succ(n0)))) = n4), 0.16/0.48 inference(cnf_transformation,[],[f88])). 0.16/0.48 fof(f88,axiom,( 0.16/0.48 succ(succ(succ(succ(n0)))) = n4), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4)). 0.16/0.48 fof(f511,plain,( 0.16/0.48 spl7_68), 0.16/0.48 inference(avatar_split_clause,[],[f210,f509])). 0.16/0.48 fof(f210,plain,( 0.16/0.48 gt(n999,n4)), 0.16/0.48 inference(cnf_transformation,[],[f95])). 0.16/0.48 fof(f95,axiom,( 0.16/0.48 gt(n999,n4)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_999_4)). 0.16/0.48 fof(f504,plain,( 0.16/0.48 spl7_66), 0.16/0.48 inference(avatar_split_clause,[],[f209,f502])). 0.16/0.48 fof(f209,plain,( 0.16/0.48 gt(n999,n3)), 0.16/0.48 inference(cnf_transformation,[],[f85])). 0.16/0.48 fof(f85,axiom,( 0.16/0.48 gt(n999,n3)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_999_3)). 0.16/0.48 fof(f497,plain,( 0.16/0.48 spl7_64), 0.16/0.48 inference(avatar_split_clause,[],[f208,f495])). 0.16/0.48 fof(f208,plain,( 0.16/0.48 gt(n999,n2)), 0.16/0.48 inference(cnf_transformation,[],[f89])). 0.16/0.48 fof(f89,axiom,( 0.16/0.48 gt(n999,n2)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_999_2)). 0.16/0.48 fof(f490,plain,( 0.16/0.48 spl7_62), 0.16/0.48 inference(avatar_split_clause,[],[f207,f488])). 0.16/0.48 fof(f207,plain,( 0.16/0.48 gt(n999,n1)), 0.16/0.48 inference(cnf_transformation,[],[f64])). 0.16/0.48 fof(f64,axiom,( 0.16/0.48 gt(n999,n1)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_999_1)). 0.16/0.48 fof(f483,plain,( 0.16/0.48 spl7_60), 0.16/0.48 inference(avatar_split_clause,[],[f206,f481])). 0.16/0.48 fof(f206,plain,( 0.16/0.48 gt(n999,tptp_minus_1)), 0.16/0.48 inference(cnf_transformation,[],[f61])). 0.16/0.48 fof(f61,axiom,( 0.16/0.48 gt(n999,tptp_minus_1)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_999_tptp_minus_1)). 0.16/0.48 fof(f476,plain,( 0.16/0.48 spl7_58), 0.16/0.48 inference(avatar_split_clause,[],[f205,f474])). 0.16/0.48 fof(f205,plain,( 0.16/0.48 gt(n999,n5)), 0.16/0.48 inference(cnf_transformation,[],[f60])). 0.16/0.48 fof(f60,axiom,( 0.16/0.48 gt(n999,n5)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_999_5)). 0.16/0.48 fof(f469,plain,( 0.16/0.48 spl7_56), 0.16/0.48 inference(avatar_split_clause,[],[f204,f467])). 0.16/0.48 fof(f204,plain,( 0.16/0.48 gt(n999,n0)), 0.16/0.48 inference(cnf_transformation,[],[f59])). 0.16/0.48 fof(f59,axiom,( 0.16/0.48 gt(n999,n0)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_999_0)). 0.16/0.48 fof(f462,plain,( 0.16/0.48 spl7_54), 0.16/0.48 inference(avatar_split_clause,[],[f203,f460])). 0.16/0.48 fof(f203,plain,( 0.16/0.48 gt(n999,n6)), 0.16/0.48 inference(cnf_transformation,[],[f57])). 0.16/0.48 fof(f57,axiom,( 0.16/0.48 gt(n999,n6)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_999_6)). 0.16/0.48 fof(f455,plain,( 0.16/0.48 spl7_52), 0.16/0.48 inference(avatar_split_clause,[],[f202,f453])). 0.16/0.48 fof(f202,plain,( 0.16/0.48 gt(n1,n0)), 0.16/0.48 inference(cnf_transformation,[],[f86])). 0.16/0.48 fof(f86,axiom,( 0.16/0.48 gt(n1,n0)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0)). 0.16/0.48 fof(f448,plain,( 0.16/0.48 spl7_50), 0.16/0.48 inference(avatar_split_clause,[],[f201,f446])). 0.16/0.48 fof(f201,plain,( 0.16/0.48 succ(n0) = n1), 0.16/0.48 inference(cnf_transformation,[],[f75])). 0.16/0.48 fof(f75,axiom,( 0.16/0.48 succ(n0) = n1), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1)). 0.16/0.48 fof(f441,plain,( 0.16/0.48 spl7_48), 0.16/0.48 inference(avatar_split_clause,[],[f192,f439])). 0.16/0.48 fof(f192,plain,( 0.16/0.48 gt(n3,n1)), 0.16/0.48 inference(cnf_transformation,[],[f99])). 0.16/0.48 fof(f99,axiom,( 0.16/0.48 gt(n3,n1)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1)). 0.16/0.48 fof(f434,plain,( 0.16/0.48 spl7_46), 0.16/0.48 inference(avatar_split_clause,[],[f191,f432])). 0.16/0.48 fof(f191,plain,( 0.16/0.48 gt(n3,n2)), 0.16/0.48 inference(cnf_transformation,[],[f71])). 0.16/0.48 fof(f71,axiom,( 0.16/0.48 gt(n3,n2)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2)). 0.16/0.48 fof(f427,plain,( 0.16/0.48 spl7_44), 0.16/0.48 inference(avatar_split_clause,[],[f190,f425])). 0.16/0.48 fof(f190,plain,( 0.16/0.48 gt(n3,n0)), 0.16/0.48 inference(cnf_transformation,[],[f63])). 0.16/0.48 fof(f63,axiom,( 0.16/0.48 gt(n3,n0)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0)). 0.16/0.48 fof(f420,plain,( 0.16/0.48 spl7_42), 0.16/0.48 inference(avatar_split_clause,[],[f189,f418])). 0.16/0.48 fof(f418,plain,( 0.16/0.48 spl7_42 <=> succ(succ(succ(n0))) = n3), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_42])])). 0.16/0.48 fof(f189,plain,( 0.16/0.48 succ(succ(succ(n0))) = n3), 0.16/0.48 inference(cnf_transformation,[],[f72])). 0.16/0.48 fof(f72,axiom,( 0.16/0.48 succ(succ(succ(n0))) = n3), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3)). 0.16/0.48 fof(f413,plain,( 0.16/0.48 spl7_40), 0.16/0.48 inference(avatar_split_clause,[],[f187,f411])). 0.16/0.48 fof(f187,plain,( 0.16/0.48 gt(n6,n2)), 0.16/0.48 inference(cnf_transformation,[],[f101])). 0.16/0.48 fof(f101,axiom,( 0.16/0.48 gt(n6,n2)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_6_2)). 0.16/0.48 fof(f406,plain,( 0.16/0.48 spl7_38), 0.16/0.48 inference(avatar_split_clause,[],[f186,f404])). 0.16/0.48 fof(f186,plain,( 0.16/0.48 gt(n6,n0)), 0.16/0.48 inference(cnf_transformation,[],[f97])). 0.16/0.48 fof(f97,axiom,( 0.16/0.48 gt(n6,n0)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_6_0)). 0.16/0.48 fof(f399,plain,( 0.16/0.48 spl7_36), 0.16/0.48 inference(avatar_split_clause,[],[f185,f397])). 0.16/0.48 fof(f185,plain,( 0.16/0.48 gt(n6,n4)), 0.16/0.48 inference(cnf_transformation,[],[f82])). 0.16/0.48 fof(f82,axiom,( 0.16/0.48 gt(n6,n4)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_6_4)). 0.16/0.48 fof(f392,plain,( 0.16/0.48 spl7_34), 0.16/0.48 inference(avatar_split_clause,[],[f184,f390])). 0.16/0.48 fof(f184,plain,( 0.16/0.48 gt(n6,tptp_minus_1)), 0.16/0.48 inference(cnf_transformation,[],[f81])). 0.16/0.48 fof(f81,axiom,( 0.16/0.48 gt(n6,tptp_minus_1)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_6_tptp_minus_1)). 0.16/0.48 fof(f385,plain,( 0.16/0.48 spl7_32), 0.16/0.48 inference(avatar_split_clause,[],[f183,f383])). 0.16/0.48 fof(f183,plain,( 0.16/0.48 gt(n6,n3)), 0.16/0.48 inference(cnf_transformation,[],[f73])). 0.16/0.48 fof(f73,axiom,( 0.16/0.48 gt(n6,n3)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_6_3)). 0.16/0.48 fof(f378,plain,( 0.16/0.48 spl7_30), 0.16/0.48 inference(avatar_split_clause,[],[f182,f376])). 0.16/0.48 fof(f182,plain,( 0.16/0.48 gt(n6,n5)), 0.16/0.48 inference(cnf_transformation,[],[f62])). 0.16/0.48 fof(f62,axiom,( 0.16/0.48 gt(n6,n5)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_6_5)). 0.16/0.48 fof(f371,plain,( 0.16/0.48 spl7_28), 0.16/0.48 inference(avatar_split_clause,[],[f181,f369])). 0.16/0.48 fof(f181,plain,( 0.16/0.48 gt(n6,n1)), 0.16/0.48 inference(cnf_transformation,[],[f53])). 0.16/0.48 fof(f53,axiom,( 0.16/0.48 gt(n6,n1)), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_6_1)). 0.16/0.48 fof(f364,plain,( 0.16/0.48 spl7_26), 0.16/0.48 inference(avatar_split_clause,[],[f180,f362])). 0.16/0.48 fof(f362,plain,( 0.16/0.48 spl7_26 <=> succ(succ(succ(succ(succ(succ(n0)))))) = n6), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_26])])). 0.16/0.48 fof(f180,plain,( 0.16/0.48 succ(succ(succ(succ(succ(succ(n0)))))) = n6), 0.16/0.48 inference(cnf_transformation,[],[f68])). 0.16/0.48 fof(f68,axiom,( 0.16/0.48 succ(succ(succ(succ(succ(succ(n0)))))) = n6), 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_6)). 0.16/0.48 fof(f357,plain,( 0.16/0.48 spl7_4 | spl7_16 | ~spl7_25), 0.16/0.48 inference(avatar_split_clause,[],[f148,f351,f311,f271])). 0.16/0.48 fof(f148,plain,( 0.16/0.48 a_select3(r_ds1_filter,sK0,sK1) != a_select3(r_ds1_filter,sK1,sK0) | leq(n0,sK2) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f356,plain,( 0.16/0.48 spl7_4 | spl7_14 | ~spl7_25), 0.16/0.48 inference(avatar_split_clause,[],[f149,f351,f304,f271])). 0.16/0.48 fof(f149,plain,( 0.16/0.48 a_select3(r_ds1_filter,sK0,sK1) != a_select3(r_ds1_filter,sK1,sK0) | leq(n0,sK3) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f355,plain,( 0.16/0.48 spl7_4 | spl7_12 | ~spl7_25), 0.16/0.48 inference(avatar_split_clause,[],[f150,f351,f297,f271])). 0.16/0.48 fof(f150,plain,( 0.16/0.48 a_select3(r_ds1_filter,sK0,sK1) != a_select3(r_ds1_filter,sK1,sK0) | leq(sK2,minus(n6,n1)) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f354,plain,( 0.16/0.48 spl7_4 | spl7_10 | ~spl7_25), 0.16/0.48 inference(avatar_split_clause,[],[f151,f351,f290,f271])). 0.16/0.48 fof(f151,plain,( 0.16/0.48 a_select3(r_ds1_filter,sK0,sK1) != a_select3(r_ds1_filter,sK1,sK0) | leq(sK3,minus(n6,n1)) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f353,plain,( 0.16/0.48 spl7_4 | ~spl7_7 | ~spl7_25), 0.16/0.48 inference(avatar_split_clause,[],[f152,f351,f277,f271])). 0.16/0.48 fof(f152,plain,( 0.16/0.48 a_select3(r_ds1_filter,sK0,sK1) != a_select3(r_ds1_filter,sK1,sK0) | a_select3(pminus_ds1_filter,sK2,sK3) != a_select3(pminus_ds1_filter,sK3,sK2) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f346,plain,( 0.16/0.48 spl7_4 | spl7_16 | spl7_22), 0.16/0.48 inference(avatar_split_clause,[],[f153,f340,f311,f271])). 0.16/0.48 fof(f153,plain,( 0.16/0.48 leq(n0,sK1) | leq(n0,sK2) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f345,plain,( 0.16/0.48 spl7_4 | spl7_14 | spl7_22), 0.16/0.48 inference(avatar_split_clause,[],[f154,f340,f304,f271])). 0.16/0.48 fof(f154,plain,( 0.16/0.48 leq(n0,sK1) | leq(n0,sK3) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f344,plain,( 0.16/0.48 spl7_4 | spl7_12 | spl7_22), 0.16/0.48 inference(avatar_split_clause,[],[f155,f340,f297,f271])). 0.16/0.48 fof(f155,plain,( 0.16/0.48 leq(n0,sK1) | leq(sK2,minus(n6,n1)) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f343,plain,( 0.16/0.48 spl7_4 | spl7_10 | spl7_22), 0.16/0.48 inference(avatar_split_clause,[],[f156,f340,f290,f271])). 0.16/0.48 fof(f156,plain,( 0.16/0.48 leq(n0,sK1) | leq(sK3,minus(n6,n1)) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f342,plain,( 0.16/0.48 spl7_4 | ~spl7_7 | spl7_22), 0.16/0.48 inference(avatar_split_clause,[],[f157,f340,f277,f271])). 0.16/0.48 fof(f157,plain,( 0.16/0.48 leq(n0,sK1) | a_select3(pminus_ds1_filter,sK2,sK3) != a_select3(pminus_ds1_filter,sK3,sK2) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f335,plain,( 0.16/0.48 spl7_4 | spl7_16 | spl7_20), 0.16/0.48 inference(avatar_split_clause,[],[f158,f329,f311,f271])). 0.16/0.48 fof(f158,plain,( 0.16/0.48 leq(sK0,minus(n3,n1)) | leq(n0,sK2) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f334,plain,( 0.16/0.48 spl7_4 | spl7_14 | spl7_20), 0.16/0.48 inference(avatar_split_clause,[],[f159,f329,f304,f271])). 0.16/0.48 fof(f159,plain,( 0.16/0.48 leq(sK0,minus(n3,n1)) | leq(n0,sK3) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f333,plain,( 0.16/0.48 spl7_4 | spl7_12 | spl7_20), 0.16/0.48 inference(avatar_split_clause,[],[f160,f329,f297,f271])). 0.16/0.48 fof(f160,plain,( 0.16/0.48 leq(sK0,minus(n3,n1)) | leq(sK2,minus(n6,n1)) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f332,plain,( 0.16/0.48 spl7_4 | spl7_10 | spl7_20), 0.16/0.48 inference(avatar_split_clause,[],[f161,f329,f290,f271])). 0.16/0.48 fof(f161,plain,( 0.16/0.48 leq(sK0,minus(n3,n1)) | leq(sK3,minus(n6,n1)) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f331,plain,( 0.16/0.48 spl7_4 | ~spl7_7 | spl7_20), 0.16/0.48 inference(avatar_split_clause,[],[f162,f329,f277,f271])). 0.16/0.48 fof(f162,plain,( 0.16/0.48 leq(sK0,minus(n3,n1)) | a_select3(pminus_ds1_filter,sK2,sK3) != a_select3(pminus_ds1_filter,sK3,sK2) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f324,plain,( 0.16/0.48 spl7_4 | spl7_16 | spl7_18), 0.16/0.48 inference(avatar_split_clause,[],[f163,f318,f311,f271])). 0.16/0.48 fof(f163,plain,( 0.16/0.48 leq(sK1,minus(n3,n1)) | leq(n0,sK2) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f323,plain,( 0.16/0.48 spl7_4 | spl7_14 | spl7_18), 0.16/0.48 inference(avatar_split_clause,[],[f164,f318,f304,f271])). 0.16/0.48 fof(f164,plain,( 0.16/0.48 leq(sK1,minus(n3,n1)) | leq(n0,sK3) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f322,plain,( 0.16/0.48 spl7_4 | spl7_12 | spl7_18), 0.16/0.48 inference(avatar_split_clause,[],[f165,f318,f297,f271])). 0.16/0.48 fof(f165,plain,( 0.16/0.48 leq(sK1,minus(n3,n1)) | leq(sK2,minus(n6,n1)) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f321,plain,( 0.16/0.48 spl7_4 | spl7_10 | spl7_18), 0.16/0.48 inference(avatar_split_clause,[],[f166,f318,f290,f271])). 0.16/0.48 fof(f166,plain,( 0.16/0.48 leq(sK1,minus(n3,n1)) | leq(sK3,minus(n6,n1)) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f320,plain,( 0.16/0.48 spl7_4 | ~spl7_7 | spl7_18), 0.16/0.48 inference(avatar_split_clause,[],[f167,f318,f277,f271])). 0.16/0.48 fof(f167,plain,( 0.16/0.48 leq(sK1,minus(n3,n1)) | a_select3(pminus_ds1_filter,sK2,sK3) != a_select3(pminus_ds1_filter,sK3,sK2) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f313,plain,( 0.16/0.48 spl7_4 | spl7_16 | spl7_8), 0.16/0.48 inference(avatar_split_clause,[],[f168,f283,f311,f271])). 0.16/0.48 fof(f168,plain,( 0.16/0.48 leq(n0,sK0) | leq(n0,sK2) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f306,plain,( 0.16/0.48 spl7_4 | spl7_14 | spl7_8), 0.16/0.48 inference(avatar_split_clause,[],[f169,f283,f304,f271])). 0.16/0.48 fof(f169,plain,( 0.16/0.48 leq(n0,sK0) | leq(n0,sK3) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f299,plain,( 0.16/0.48 spl7_4 | spl7_12 | spl7_8), 0.16/0.48 inference(avatar_split_clause,[],[f170,f283,f297,f271])). 0.16/0.48 fof(f170,plain,( 0.16/0.48 leq(n0,sK0) | leq(sK2,minus(n6,n1)) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f292,plain,( 0.16/0.48 spl7_4 | spl7_10 | spl7_8), 0.16/0.48 inference(avatar_split_clause,[],[f171,f283,f290,f271])). 0.16/0.48 fof(f171,plain,( 0.16/0.48 leq(n0,sK0) | leq(sK3,minus(n6,n1)) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f285,plain,( 0.16/0.48 spl7_4 | ~spl7_7 | spl7_8), 0.16/0.48 inference(avatar_split_clause,[],[f172,f283,f277,f271])). 0.16/0.48 fof(f172,plain,( 0.16/0.48 leq(n0,sK0) | a_select3(pminus_ds1_filter,sK2,sK3) != a_select3(pminus_ds1_filter,sK3,sK2) | sP6(sK5,sK4)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f266,plain,( 0.16/0.48 spl7_2), 0.16/0.48 inference(avatar_split_clause,[],[f177,f264])). 0.16/0.48 fof(f264,plain,( 0.16/0.48 spl7_2 <=> leq(pv5,minus(n999,n1))), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_2])])). 0.16/0.48 fof(f177,plain,( 0.16/0.48 leq(pv5,minus(n999,n1))), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 fof(f259,plain,( 0.16/0.48 spl7_0), 0.16/0.48 inference(avatar_split_clause,[],[f178,f257])). 0.16/0.48 fof(f257,plain,( 0.16/0.48 spl7_0 <=> leq(n0,pv5)), 0.16/0.48 introduced(avatar_definition,[new_symbols(naming,[spl7_0])])). 0.16/0.48 fof(f178,plain,( 0.16/0.48 leq(n0,pv5)), 0.16/0.48 inference(cnf_transformation,[],[f117])). 0.16/0.48 % SZS output end Proof for theBenchmark 0.16/0.48 % ------------------------------ 0.16/0.48 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.16/0.48 % Termination reason: Refutation 0.16/0.48 0.16/0.48 % Memory used [KB]: 1279 0.16/0.48 % Time elapsed: 0.093 s 0.16/0.48 % ------------------------------ 0.16/0.48 % ------------------------------ 0.16/0.48 % Success in time 0.158 s 0.16/0.48 EOF