0.09/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.11 % Command : vampire --mode casc -t %d %s 0.10/0.31 % Computer : n018.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % DateTime : Thu Jul 2 08:07:07 EDT 2020 0.10/0.31 % CPUTime : 0.10/0.39 % 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 0.15/0.49 % Refutation found. Thanks to Tanya! 0.15/0.49 % SZS status Theorem for theBenchmark 0.15/0.49 % SZS output start Proof for theBenchmark 0.15/0.49 fof(f1368,plain,( 0.15/0.49 $false), 0.15/0.49 inference(avatar_sat_refutation,[],[f152,f165,f172,f179,f180,f184,f186,f197,f204,f218,f230,f295,f306,f372,f399,f406,f413,f420,f427,f434,f441,f455,f456,f457,f460,f466,f979,f983,f984,f985,f986,f988,f999,f1006,f1007,f1010,f1031,f1038,f1045,f1052,f1059,f1066,f1073,f1075,f1077,f1079,f1081,f1095,f1107,f1204,f1211,f1218,f1225,f1232,f1239,f1256,f1257,f1258,f1261,f1272,f1365])). 0.15/0.49 fof(f1365,plain,( 0.15/0.49 ~spl4_40 | spl4_45), 0.15/0.49 inference(avatar_contradiction_clause,[],[f1353])). 0.15/0.49 fof(f1353,plain,( 0.15/0.49 $false | (~spl4_40 | ~spl4_45)), 0.15/0.49 inference(subsumption_resolution,[],[f1030,f1296])). 0.15/0.49 fof(f1296,plain,( 0.15/0.49 ( ! [X0] : (greater(vplus(vd353,X0),vplus(X0,vd354))) ) | ~spl4_40), 0.15/0.49 inference(superposition,[],[f1192,f113])). 0.15/0.49 fof(f113,plain,( 0.15/0.49 ( ! [X0,X1] : (vplus(X0,X1) = vplus(X1,X0)) )), 0.15/0.49 inference(cnf_transformation,[],[f56])). 0.15/0.49 fof(f56,plain,( 0.15/0.49 ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0)), 0.15/0.49 inference(rectify,[],[f21])). 0.15/0.49 fof(f21,axiom,( 0.15/0.49 ! [X39,X40] : vplus(X39,X40) = vplus(X40,X39)), 0.15/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)')). 0.15/0.49 fof(f1192,plain,( 0.15/0.49 ( ! [X24] : (greater(vplus(X24,vd353),vplus(X24,vd354))) ) | ~spl4_40), 0.15/0.49 inference(superposition,[],[f631,f998])). 0.15/0.49 fof(f998,plain,( 0.15/0.49 vd353 = vplus(vd354,sK0(vd354,vd353)) | ~spl4_40), 0.15/0.49 inference(avatar_component_clause,[],[f997])). 0.15/0.49 fof(f997,plain,( 0.15/0.49 spl4_40 <=> vd353 = vplus(vd354,sK0(vd354,vd353))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_40])])). 0.15/0.49 fof(f631,plain,( 0.15/0.49 ( ! [X24,X23,X22] : (greater(vplus(X22,vplus(X23,X24)),vplus(X22,X23))) )), 0.15/0.49 inference(superposition,[],[f100,f107])). 0.15/0.49 fof(f107,plain,( 0.15/0.49 ( ! [X2,X0,X1] : (vplus(X0,vplus(X1,X2)) = vplus(vplus(X0,X1),X2)) )), 0.15/0.49 inference(cnf_transformation,[],[f50])). 0.15/0.49 fof(f50,plain,( 0.15/0.49 ! [X0,X1,X2] : vplus(X0,vplus(X1,X2)) = vplus(vplus(X0,X1),X2)), 0.15/0.49 inference(rectify,[],[f7])). 0.15/0.49 fof(f7,axiom,( 0.15/0.49 ! [X11,X12,X13] : vplus(X11,vplus(X12,X13)) = vplus(vplus(X11,X12),X13)), 0.15/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)')). 0.15/0.49 fof(f100,plain,( 0.15/0.49 ( ! [X0,X1] : (greater(vplus(X0,X1),X0)) )), 0.15/0.49 inference(cnf_transformation,[],[f48])). 0.15/0.49 fof(f48,plain,( 0.15/0.49 ! [X0,X1] : greater(vplus(X0,X1),X0)), 0.15/0.49 inference(rectify,[],[f38])). 0.15/0.49 fof(f38,axiom,( 0.15/0.49 ! [X61,X62] : greater(vplus(X61,X62),X61)), 0.15/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(189, 0), 0)')). 0.15/0.49 fof(f1030,plain,( 0.15/0.49 ~greater(vplus(vd353,vd355),vplus(vd355,vd354)) | ~spl4_45), 0.15/0.49 inference(avatar_component_clause,[],[f1029])). 0.15/0.49 fof(f1029,plain,( 0.15/0.49 spl4_45 <=> ~greater(vplus(vd353,vd355),vplus(vd355,vd354))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_45])])). 0.15/0.49 fof(f1272,plain,( 0.15/0.49 ~spl4_71 | ~spl4_68), 0.15/0.49 inference(avatar_split_clause,[],[f1269,f1216,f1223])). 0.15/0.49 fof(f1223,plain,( 0.15/0.49 spl4_71 <=> ~greater(sK0(vd354,vd353),vd353)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_71])])). 0.15/0.49 fof(f1216,plain,( 0.15/0.49 spl4_68 <=> less(sK0(vd354,vd353),vd353)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_68])])). 0.15/0.49 fof(f1269,plain,( 0.15/0.49 ~greater(sK0(vd354,vd353),vd353) | ~spl4_68), 0.15/0.49 inference(resolution,[],[f1217,f134])). 0.15/0.49 fof(f134,plain,( 0.15/0.49 ( ! [X0,X1] : (~less(X0,X1) | ~greater(X0,X1)) )), 0.15/0.49 inference(cnf_transformation,[],[f70])). 0.15/0.49 fof(f70,plain,( 0.15/0.49 ! [X0,X1] : (~less(X0,X1) | ~greater(X0,X1))), 0.15/0.49 inference(rectify,[],[f40])). 0.15/0.49 fof(f40,axiom,( 0.15/0.49 ! [X47,X48] : (~less(X47,X48) | ~greater(X47,X48))), 0.15/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)')). 0.15/0.49 fof(f1217,plain,( 0.15/0.49 less(sK0(vd354,vd353),vd353) | ~spl4_68), 0.15/0.49 inference(avatar_component_clause,[],[f1216])). 0.15/0.49 fof(f1261,plain,( 0.15/0.49 spl4_74 | ~spl4_72), 0.15/0.49 inference(avatar_split_clause,[],[f1260,f1230,f1237])). 0.15/0.49 fof(f1237,plain,( 0.15/0.49 spl4_74 <=> leq(sK0(vd354,vd353),vd353)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_74])])). 0.15/0.49 fof(f1230,plain,( 0.15/0.49 spl4_72 <=> geq(vd353,sK0(vd354,vd353))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_72])])). 0.15/0.49 fof(f1260,plain,( 0.15/0.49 leq(sK0(vd354,vd353),vd353) | ~spl4_72), 0.15/0.49 inference(resolution,[],[f1231,f118])). 0.15/0.49 fof(f118,plain,( 0.15/0.49 ( ! [X0,X1] : (~geq(X0,X1) | leq(X1,X0)) )), 0.15/0.49 inference(cnf_transformation,[],[f82])). 0.15/0.49 fof(f82,plain,( 0.15/0.49 ! [X0,X1] : (leq(X1,X0) | ~geq(X0,X1))), 0.15/0.49 inference(ennf_transformation,[],[f59])). 0.15/0.49 fof(f59,plain,( 0.15/0.49 ! [X0,X1] : (geq(X0,X1) => leq(X1,X0))), 0.15/0.49 inference(rectify,[],[f4])). 0.15/0.49 fof(f4,axiom,( 0.15/0.49 ! [X3,X4] : (geq(X3,X4) => leq(X4,X3))), 0.15/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(158, 0), 0)')). 0.15/0.49 fof(f1231,plain,( 0.15/0.49 geq(vd353,sK0(vd354,vd353)) | ~spl4_72), 0.15/0.49 inference(avatar_component_clause,[],[f1230])). 0.15/0.49 fof(f1258,plain,( 0.15/0.49 spl4_72 | ~spl4_66), 0.15/0.49 inference(avatar_split_clause,[],[f1249,f1209,f1230])). 0.15/0.49 fof(f1209,plain,( 0.15/0.49 spl4_66 <=> greater(vd353,sK0(vd354,vd353))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_66])])). 0.15/0.49 fof(f1249,plain,( 0.15/0.49 geq(vd353,sK0(vd354,vd353)) | ~spl4_66), 0.15/0.49 inference(resolution,[],[f1210,f116])). 0.15/0.49 fof(f116,plain,( 0.15/0.49 ( ! [X0,X1] : (~greater(X1,X0) | geq(X1,X0)) )), 0.15/0.49 inference(cnf_transformation,[],[f58])). 0.15/0.49 fof(f58,plain,( 0.15/0.49 ! [X0,X1] : ((greater(X1,X0) | X0 = X1) <=> geq(X1,X0))), 0.15/0.49 inference(rectify,[],[f20])). 0.15/0.49 fof(f20,axiom,( 0.15/0.49 ! [X37,X38] : ((greater(X38,X37) | X37 = X38) <=> geq(X38,X37))), 0.15/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)')). 0.15/0.49 fof(f1210,plain,( 0.15/0.49 greater(vd353,sK0(vd354,vd353)) | ~spl4_66), 0.15/0.49 inference(avatar_component_clause,[],[f1209])). 0.15/0.49 fof(f1257,plain,( 0.15/0.49 spl4_68 | ~spl4_66), 0.15/0.49 inference(avatar_split_clause,[],[f1248,f1209,f1216])). 0.15/0.49 fof(f1248,plain,( 0.15/0.49 less(sK0(vd354,vd353),vd353) | ~spl4_66), 0.15/0.49 inference(resolution,[],[f1210,f131])). 0.15/0.49 fof(f131,plain,( 0.15/0.49 ( ! [X0,X1] : (~greater(X0,X1) | less(X1,X0)) )), 0.15/0.49 inference(cnf_transformation,[],[f91])). 0.15/0.49 fof(f91,plain,( 0.15/0.49 ! [X0,X1] : (less(X1,X0) | ~greater(X0,X1))), 0.15/0.49 inference(ennf_transformation,[],[f67])). 0.15/0.49 fof(f67,plain,( 0.15/0.49 ! [X0,X1] : (greater(X0,X1) => less(X1,X0))), 0.15/0.49 inference(rectify,[],[f32])). 0.15/0.49 fof(f32,axiom,( 0.15/0.49 ! [X54,X55] : (greater(X54,X55) => less(X55,X54))), 0.15/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)')). 0.15/0.49 fof(f1256,plain,( 0.15/0.49 spl4_76 | ~spl4_66), 0.15/0.49 inference(avatar_split_clause,[],[f1247,f1209,f1254])). 0.15/0.49 fof(f1254,plain,( 0.15/0.49 spl4_76 <=> vd353 = vplus(sK0(vd354,vd353),sK0(sK0(vd354,vd353),vd353))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_76])])). 0.15/0.49 fof(f1247,plain,( 0.15/0.49 vd353 = vplus(sK0(vd354,vd353),sK0(sK0(vd354,vd353),vd353)) | ~spl4_66), 0.15/0.49 inference(resolution,[],[f1210,f98])). 0.15/0.49 fof(f98,plain,( 0.15/0.49 ( ! [X0,X1] : (~greater(X1,X0) | vplus(X0,sK0(X0,X1)) = X1) )), 0.15/0.49 inference(cnf_transformation,[],[f46])). 0.15/0.49 fof(f46,plain,( 0.15/0.49 ! [X0,X1] : (greater(X1,X0) <=> ? [X2] : vplus(X0,X2) = X1)), 0.15/0.49 inference(rectify,[],[f18])). 0.15/0.49 fof(f18,axiom,( 0.15/0.49 ! [X31,X32] : (greater(X32,X31) <=> ? [X33] : vplus(X31,X33) = X32)), 0.15/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)')). 0.15/0.49 fof(f1239,plain,( 0.15/0.49 spl4_74 | ~spl4_40), 0.15/0.49 inference(avatar_split_clause,[],[f1183,f997,f1237])). 0.15/0.49 fof(f1183,plain,( 0.15/0.49 leq(sK0(vd354,vd353),vd353) | ~spl4_40), 0.15/0.49 inference(superposition,[],[f253,f998])). 0.15/0.49 fof(f253,plain,( 0.15/0.49 ( ! [X0,X1] : (leq(X0,vplus(X1,X0))) )), 0.15/0.49 inference(resolution,[],[f246,f118])). 0.15/0.49 fof(f246,plain,( 0.15/0.49 ( ! [X2,X3] : (geq(vplus(X2,X3),X3)) )), 0.15/0.49 inference(resolution,[],[f231,f116])). 0.15/0.49 fof(f231,plain,( 0.15/0.49 ( ! [X0,X1] : (greater(vplus(X1,X0),X0)) )), 0.15/0.49 inference(superposition,[],[f100,f113])). 0.15/0.49 fof(f1232,plain,( 0.15/0.49 spl4_72 | ~spl4_40), 0.15/0.49 inference(avatar_split_clause,[],[f1180,f997,f1230])). 0.15/0.49 fof(f1180,plain,( 0.15/0.49 geq(vd353,sK0(vd354,vd353)) | ~spl4_40), 0.15/0.49 inference(superposition,[],[f246,f998])). 0.15/0.49 fof(f1225,plain,( 0.15/0.49 ~spl4_71 | ~spl4_40), 0.15/0.49 inference(avatar_split_clause,[],[f1179,f997,f1223])). 0.15/0.49 fof(f1179,plain,( 0.15/0.49 ~greater(sK0(vd354,vd353),vd353) | ~spl4_40), 0.15/0.49 inference(superposition,[],[f237,f998])). 0.15/0.49 fof(f237,plain,( 0.15/0.49 ( ! [X12,X13] : (~greater(X12,vplus(X13,X12))) )), 0.15/0.49 inference(superposition,[],[f222,f113])). 0.15/0.49 fof(f222,plain,( 0.15/0.49 ( ! [X0,X1] : (~greater(X0,vplus(X0,X1))) )), 0.15/0.49 inference(resolution,[],[f134,f144])). 0.15/0.49 fof(f144,plain,( 0.15/0.49 ( ! [X2,X1] : (less(X1,vplus(X1,X2))) )), 0.15/0.49 inference(equality_resolution,[],[f130])). 0.15/0.49 fof(f130,plain,( 0.15/0.49 ( ! [X2,X0,X1] : (less(X1,X0) | vplus(X1,X2) != X0) )), 0.15/0.49 inference(cnf_transformation,[],[f66])). 0.15/0.49 fof(f66,plain,( 0.15/0.49 ! [X0,X1] : (? [X2] : vplus(X1,X2) = X0 <=> less(X1,X0))), 0.15/0.49 inference(rectify,[],[f23])). 0.15/0.49 fof(f23,axiom,( 0.15/0.49 ! [X44,X45] : (? [X46] : vplus(X45,X46) = X44 <=> less(X45,X44))), 0.15/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)')). 0.15/0.49 fof(f1218,plain,( 0.15/0.49 spl4_68 | ~spl4_40), 0.15/0.49 inference(avatar_split_clause,[],[f1178,f997,f1216])). 0.15/0.49 fof(f1178,plain,( 0.15/0.49 less(sK0(vd354,vd353),vd353) | ~spl4_40), 0.15/0.49 inference(superposition,[],[f234,f998])). 0.15/0.49 fof(f234,plain,( 0.15/0.49 ( ! [X6,X7] : (less(X6,vplus(X7,X6))) )), 0.15/0.49 inference(superposition,[],[f144,f113])). 0.15/0.49 fof(f1211,plain,( 0.15/0.49 spl4_66 | ~spl4_40), 0.15/0.49 inference(avatar_split_clause,[],[f1177,f997,f1209])). 0.15/0.49 fof(f1177,plain,( 0.15/0.49 greater(vd353,sK0(vd354,vd353)) | ~spl4_40), 0.15/0.49 inference(superposition,[],[f231,f998])). 0.15/0.49 fof(f1204,plain,( 0.15/0.49 ~spl4_65 | ~spl4_40), 0.15/0.49 inference(avatar_split_clause,[],[f1170,f997,f1202])). 0.15/0.49 fof(f1202,plain,( 0.15/0.49 spl4_65 <=> vd353 != sK0(vd354,vd353)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_65])])). 0.15/0.49 fof(f1170,plain,( 0.15/0.49 vd353 != sK0(vd354,vd353) | ~spl4_40), 0.15/0.49 inference(superposition,[],[f114,f998])). 0.15/0.49 fof(f114,plain,( 0.15/0.49 ( ! [X0,X1] : (vplus(X0,X1) != X1) )), 0.15/0.49 inference(cnf_transformation,[],[f57])). 0.15/0.49 fof(f57,plain,( 0.15/0.49 ! [X0,X1] : vplus(X0,X1) != X1), 0.15/0.49 inference(rectify,[],[f28])). 0.15/0.49 fof(f28,axiom,( 0.15/0.49 ! [X52,X53] : vplus(X52,X53) != X53), 0.15/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(73, 0), 0)')). 0.15/0.49 fof(f1107,plain,( 0.15/0.49 ~spl4_63 | ~spl4_42), 0.15/0.49 inference(avatar_split_clause,[],[f1098,f1004,f1105])). 0.15/0.49 fof(f1105,plain,( 0.15/0.49 spl4_63 <=> ~greater(vd354,vd353)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_63])])). 0.15/0.49 fof(f1004,plain,( 0.15/0.49 spl4_42 <=> less(vd354,vd353)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_42])])). 0.15/0.49 fof(f1098,plain,( 0.15/0.49 ~greater(vd354,vd353) | ~spl4_42), 0.15/0.49 inference(resolution,[],[f1005,f134])). 0.15/0.49 fof(f1005,plain,( 0.15/0.49 less(vd354,vd353) | ~spl4_42), 0.15/0.49 inference(avatar_component_clause,[],[f1004])). 0.15/0.49 fof(f1095,plain,( 0.15/0.49 ~spl4_59 | ~spl4_61 | spl4_45), 0.15/0.49 inference(avatar_split_clause,[],[f1082,f1029,f1093,f1087])). 0.15/0.49 fof(f1087,plain,( 0.15/0.49 spl4_59 <=> ~greater(vd353,vd355)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_59])])). 0.15/0.49 fof(f1093,plain,( 0.15/0.49 spl4_61 <=> ~greater(vd355,vd354)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_61])])). 0.15/0.49 fof(f1082,plain,( 0.15/0.49 ~greater(vd355,vd354) | ~greater(vd353,vd355) | ~spl4_45), 0.15/0.49 inference(resolution,[],[f1030,f94])). 0.15/0.49 fof(f94,plain,( 0.15/0.49 ( ! [X2,X0,X3,X1] : (greater(vplus(X0,X2),vplus(X1,X3)) | ~greater(X2,X3) | ~greater(X0,X1)) )), 0.15/0.49 inference(cnf_transformation,[],[f73])). 0.15/0.49 fof(f73,plain,( 0.15/0.49 ! [X0,X1,X2,X3] : (greater(vplus(X0,X2),vplus(X1,X3)) | ~greater(X2,X3) | ~greater(X0,X1))), 0.15/0.49 inference(flattening,[],[f72])). 0.15/0.49 fof(f72,plain,( 0.15/0.49 ! [X0,X1,X2,X3] : (greater(vplus(X0,X2),vplus(X1,X3)) | (~greater(X2,X3) | ~greater(X0,X1)))), 0.15/0.49 inference(ennf_transformation,[],[f44])). 0.15/0.49 fof(f44,plain,( 0.15/0.49 ! [X0,X1,X2,X3] : ((greater(X2,X3) & greater(X0,X1)) => greater(vplus(X0,X2),vplus(X1,X3)))), 0.15/0.49 inference(rectify,[],[f15])). 0.15/0.49 fof(f15,axiom,( 0.15/0.49 ! [X22,X23,X24,X25] : ((greater(X24,X25) & greater(X22,X23)) => greater(vplus(X22,X24),vplus(X23,X25)))), 0.15/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(209, 0), 0)')). 0.15/0.49 fof(f1081,plain,( 0.15/0.49 ~spl4_49 | ~spl4_26 | spl4_29), 0.15/0.49 inference(avatar_split_clause,[],[f1080,f408,f401,f1040])). 0.15/0.49 fof(f1040,plain,( 0.15/0.49 spl4_49 <=> ~greater(vd355,sK0(vd355,vd355))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_49])])). 0.15/0.49 fof(f401,plain,( 0.15/0.49 spl4_26 <=> vd355 = vd356), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_26])])). 0.15/0.49 fof(f408,plain,( 0.15/0.49 spl4_29 <=> ~greater(vd355,sK0(vd356,vd355))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_29])])). 0.15/0.49 fof(f1080,plain,( 0.15/0.49 ~greater(vd355,sK0(vd355,vd355)) | (~spl4_26 | ~spl4_29)), 0.15/0.49 inference(forward_demodulation,[],[f409,f402])). 0.15/0.49 fof(f402,plain,( 0.15/0.49 vd355 = vd356 | ~spl4_26), 0.15/0.49 inference(avatar_component_clause,[],[f401])). 0.15/0.49 fof(f409,plain,( 0.15/0.49 ~greater(vd355,sK0(vd356,vd355)) | ~spl4_29), 0.15/0.49 inference(avatar_component_clause,[],[f408])). 0.15/0.49 fof(f1079,plain,( 0.15/0.49 ~spl4_51 | ~spl4_26 | spl4_31), 0.15/0.49 inference(avatar_split_clause,[],[f1078,f415,f401,f1047])). 0.15/0.49 fof(f1047,plain,( 0.15/0.49 spl4_51 <=> ~less(sK0(vd355,vd355),vd355)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_51])])). 0.15/0.49 fof(f415,plain,( 0.15/0.49 spl4_31 <=> ~less(sK0(vd356,vd355),vd355)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_31])])). 0.15/0.49 fof(f1078,plain,( 0.15/0.49 ~less(sK0(vd355,vd355),vd355) | (~spl4_26 | ~spl4_31)), 0.15/0.49 inference(forward_demodulation,[],[f416,f402])). 0.15/0.49 fof(f416,plain,( 0.15/0.49 ~less(sK0(vd356,vd355),vd355) | ~spl4_31), 0.15/0.49 inference(avatar_component_clause,[],[f415])). 0.15/0.49 fof(f1077,plain,( 0.15/0.49 ~spl4_55 | ~spl4_26 | spl4_35), 0.15/0.49 inference(avatar_split_clause,[],[f1076,f429,f401,f1061])). 0.15/0.49 fof(f1061,plain,( 0.15/0.49 spl4_55 <=> ~geq(vd355,sK0(vd355,vd355))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_55])])). 0.15/0.49 fof(f429,plain,( 0.15/0.49 spl4_35 <=> ~geq(vd355,sK0(vd356,vd355))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_35])])). 0.15/0.49 fof(f1076,plain,( 0.15/0.49 ~geq(vd355,sK0(vd355,vd355)) | (~spl4_26 | ~spl4_35)), 0.15/0.49 inference(forward_demodulation,[],[f430,f402])). 0.15/0.49 fof(f430,plain,( 0.15/0.49 ~geq(vd355,sK0(vd356,vd355)) | ~spl4_35), 0.15/0.49 inference(avatar_component_clause,[],[f429])). 0.15/0.49 fof(f1075,plain,( 0.15/0.49 ~spl4_57 | ~spl4_26 | spl4_37), 0.15/0.49 inference(avatar_split_clause,[],[f1074,f436,f401,f1068])). 0.15/0.49 fof(f1068,plain,( 0.15/0.49 spl4_57 <=> ~leq(sK0(vd355,vd355),vd355)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_57])])). 0.15/0.49 fof(f436,plain,( 0.15/0.49 spl4_37 <=> ~leq(sK0(vd356,vd355),vd355)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_37])])). 0.15/0.49 fof(f1074,plain,( 0.15/0.49 ~leq(sK0(vd355,vd355),vd355) | (~spl4_26 | ~spl4_37)), 0.15/0.49 inference(forward_demodulation,[],[f437,f402])). 0.15/0.49 fof(f437,plain,( 0.15/0.49 ~leq(sK0(vd356,vd355),vd355) | ~spl4_37), 0.15/0.49 inference(avatar_component_clause,[],[f436])). 0.15/0.49 fof(f1073,plain,( 0.15/0.49 spl4_56 | ~spl4_26 | ~spl4_36), 0.15/0.49 inference(avatar_split_clause,[],[f1023,f439,f401,f1071])). 0.15/0.49 fof(f1071,plain,( 0.15/0.49 spl4_56 <=> leq(sK0(vd355,vd355),vd355)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_56])])). 0.15/0.49 fof(f439,plain,( 0.15/0.49 spl4_36 <=> leq(sK0(vd356,vd355),vd355)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_36])])). 0.15/0.49 fof(f1023,plain,( 0.15/0.49 leq(sK0(vd355,vd355),vd355) | (~spl4_26 | ~spl4_36)), 0.15/0.49 inference(backward_demodulation,[],[f402,f440])). 0.15/0.49 fof(f440,plain,( 0.15/0.49 leq(sK0(vd356,vd355),vd355) | ~spl4_36), 0.15/0.49 inference(avatar_component_clause,[],[f439])). 0.15/0.49 fof(f1066,plain,( 0.15/0.49 spl4_54 | ~spl4_26 | ~spl4_34), 0.15/0.49 inference(avatar_split_clause,[],[f1022,f432,f401,f1064])). 0.15/0.49 fof(f1064,plain,( 0.15/0.49 spl4_54 <=> geq(vd355,sK0(vd355,vd355))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_54])])). 0.15/0.49 fof(f432,plain,( 0.15/0.49 spl4_34 <=> geq(vd355,sK0(vd356,vd355))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_34])])). 0.15/0.49 fof(f1022,plain,( 0.15/0.49 geq(vd355,sK0(vd355,vd355)) | (~spl4_26 | ~spl4_34)), 0.15/0.49 inference(backward_demodulation,[],[f402,f433])). 0.15/0.49 fof(f433,plain,( 0.15/0.49 geq(vd355,sK0(vd356,vd355)) | ~spl4_34), 0.15/0.49 inference(avatar_component_clause,[],[f432])). 0.15/0.49 fof(f1059,plain,( 0.15/0.49 ~spl4_53 | ~spl4_26 | spl4_33), 0.15/0.49 inference(avatar_split_clause,[],[f1021,f425,f401,f1057])). 0.15/0.49 fof(f1057,plain,( 0.15/0.49 spl4_53 <=> ~greater(sK0(vd355,vd355),vd355)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_53])])). 0.15/0.49 fof(f425,plain,( 0.15/0.49 spl4_33 <=> ~greater(sK0(vd356,vd355),vd355)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_33])])). 0.15/0.49 fof(f1021,plain,( 0.15/0.49 ~greater(sK0(vd355,vd355),vd355) | (~spl4_26 | ~spl4_33)), 0.15/0.49 inference(backward_demodulation,[],[f402,f426])). 0.15/0.49 fof(f426,plain,( 0.15/0.49 ~greater(sK0(vd356,vd355),vd355) | ~spl4_33), 0.15/0.49 inference(avatar_component_clause,[],[f425])). 0.15/0.49 fof(f1052,plain,( 0.15/0.49 spl4_50 | ~spl4_26 | ~spl4_30), 0.15/0.49 inference(avatar_split_clause,[],[f1020,f418,f401,f1050])). 0.15/0.49 fof(f1050,plain,( 0.15/0.49 spl4_50 <=> less(sK0(vd355,vd355),vd355)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_50])])). 0.15/0.49 fof(f418,plain,( 0.15/0.49 spl4_30 <=> less(sK0(vd356,vd355),vd355)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_30])])). 0.15/0.49 fof(f1020,plain,( 0.15/0.49 less(sK0(vd355,vd355),vd355) | (~spl4_26 | ~spl4_30)), 0.15/0.49 inference(backward_demodulation,[],[f402,f419])). 0.15/0.49 fof(f419,plain,( 0.15/0.49 less(sK0(vd356,vd355),vd355) | ~spl4_30), 0.15/0.49 inference(avatar_component_clause,[],[f418])). 0.15/0.49 fof(f1045,plain,( 0.15/0.49 spl4_48 | ~spl4_26 | ~spl4_28), 0.15/0.49 inference(avatar_split_clause,[],[f1019,f411,f401,f1043])). 0.15/0.49 fof(f1043,plain,( 0.15/0.49 spl4_48 <=> greater(vd355,sK0(vd355,vd355))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_48])])). 0.15/0.49 fof(f411,plain,( 0.15/0.49 spl4_28 <=> greater(vd355,sK0(vd356,vd355))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_28])])). 0.15/0.49 fof(f1019,plain,( 0.15/0.49 greater(vd355,sK0(vd355,vd355)) | (~spl4_26 | ~spl4_28)), 0.15/0.49 inference(backward_demodulation,[],[f402,f412])). 0.15/0.49 fof(f412,plain,( 0.15/0.49 greater(vd355,sK0(vd356,vd355)) | ~spl4_28), 0.15/0.49 inference(avatar_component_clause,[],[f411])). 0.15/0.49 fof(f1038,plain,( 0.15/0.49 ~spl4_47 | spl4_25 | ~spl4_26), 0.15/0.49 inference(avatar_split_clause,[],[f1018,f401,f397,f1036])). 0.15/0.49 fof(f1036,plain,( 0.15/0.49 spl4_47 <=> vd355 != sK0(vd355,vd355)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_47])])). 0.15/0.49 fof(f397,plain,( 0.15/0.49 spl4_25 <=> vd355 != sK0(vd356,vd355)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_25])])). 0.15/0.49 fof(f1018,plain,( 0.15/0.49 vd355 != sK0(vd355,vd355) | (~spl4_25 | ~spl4_26)), 0.15/0.49 inference(backward_demodulation,[],[f402,f398])). 0.15/0.49 fof(f398,plain,( 0.15/0.49 vd355 != sK0(vd356,vd355) | ~spl4_25), 0.15/0.49 inference(avatar_component_clause,[],[f397])). 0.15/0.49 fof(f1031,plain,( 0.15/0.49 ~spl4_45 | spl4_1 | ~spl4_26), 0.15/0.49 inference(avatar_split_clause,[],[f1024,f401,f150,f1029])). 0.15/0.49 fof(f150,plain,( 0.15/0.49 spl4_1 <=> ~greater(vplus(vd353,vd355),vplus(vd354,vd356))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_1])])). 0.15/0.49 fof(f1024,plain,( 0.15/0.49 ~greater(vplus(vd353,vd355),vplus(vd355,vd354)) | (~spl4_1 | ~spl4_26)), 0.15/0.49 inference(forward_demodulation,[],[f1012,f113])). 0.15/0.49 fof(f1012,plain,( 0.15/0.49 ~greater(vplus(vd353,vd355),vplus(vd354,vd355)) | (~spl4_1 | ~spl4_26)), 0.15/0.49 inference(backward_demodulation,[],[f402,f151])). 0.15/0.49 fof(f151,plain,( 0.15/0.49 ~greater(vplus(vd353,vd355),vplus(vd354,vd356)) | ~spl4_1), 0.15/0.49 inference(avatar_component_clause,[],[f150])). 0.15/0.49 fof(f1010,plain,( 0.15/0.49 spl4_10 | ~spl4_6), 0.15/0.49 inference(avatar_split_clause,[],[f1009,f170,f195])). 0.15/0.49 fof(f195,plain,( 0.15/0.49 spl4_10 <=> leq(vd354,vd353)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_10])])). 0.15/0.49 fof(f170,plain,( 0.15/0.49 spl4_6 <=> geq(vd353,vd354)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_6])])). 0.15/0.49 fof(f1009,plain,( 0.15/0.49 leq(vd354,vd353) | ~spl4_6), 0.15/0.49 inference(resolution,[],[f171,f118])). 0.15/0.49 fof(f171,plain,( 0.15/0.49 geq(vd353,vd354) | ~spl4_6), 0.15/0.49 inference(avatar_component_clause,[],[f170])). 0.15/0.49 fof(f1007,plain,( 0.15/0.49 spl4_6 | ~spl4_4), 0.15/0.49 inference(avatar_split_clause,[],[f992,f163,f170])). 0.15/0.49 fof(f163,plain,( 0.15/0.49 spl4_4 <=> greater(vd353,vd354)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_4])])). 0.15/0.49 fof(f992,plain,( 0.15/0.49 geq(vd353,vd354) | ~spl4_4), 0.15/0.49 inference(resolution,[],[f164,f116])). 0.15/0.49 fof(f164,plain,( 0.15/0.49 greater(vd353,vd354) | ~spl4_4), 0.15/0.49 inference(avatar_component_clause,[],[f163])). 0.15/0.49 fof(f1006,plain,( 0.15/0.49 spl4_42 | ~spl4_4), 0.15/0.49 inference(avatar_split_clause,[],[f991,f163,f1004])). 0.15/0.49 fof(f991,plain,( 0.15/0.49 less(vd354,vd353) | ~spl4_4), 0.15/0.49 inference(resolution,[],[f164,f131])). 0.15/0.49 fof(f999,plain,( 0.15/0.49 spl4_40 | ~spl4_4), 0.15/0.49 inference(avatar_split_clause,[],[f990,f163,f997])). 0.15/0.49 fof(f990,plain,( 0.15/0.49 vd353 = vplus(vd354,sK0(vd354,vd353)) | ~spl4_4), 0.15/0.49 inference(resolution,[],[f164,f98])). 0.15/0.49 fof(f988,plain,( 0.15/0.49 ~spl4_5 | ~spl4_3 | spl4_1), 0.15/0.49 inference(avatar_split_clause,[],[f987,f150,f154,f160])). 0.15/0.49 fof(f160,plain,( 0.15/0.49 spl4_5 <=> ~greater(vd353,vd354)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_5])])). 0.15/0.49 fof(f154,plain,( 0.15/0.49 spl4_3 <=> ~greater(vd355,vd356)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_3])])). 0.15/0.49 fof(f987,plain,( 0.15/0.49 ~greater(vd355,vd356) | ~greater(vd353,vd354) | ~spl4_1), 0.15/0.49 inference(resolution,[],[f151,f94])). 0.15/0.49 fof(f986,plain,( 0.15/0.49 spl4_2 | spl4_26 | ~spl4_8), 0.15/0.49 inference(avatar_split_clause,[],[f285,f177,f401,f157])). 0.15/0.49 fof(f157,plain,( 0.15/0.49 spl4_2 <=> greater(vd355,vd356)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_2])])). 0.15/0.49 fof(f177,plain,( 0.15/0.49 spl4_8 <=> geq(vd355,vd356)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_8])])). 0.15/0.49 fof(f285,plain,( 0.15/0.49 vd355 = vd356 | greater(vd355,vd356) | ~spl4_8), 0.15/0.49 inference(resolution,[],[f117,f178])). 0.15/0.49 fof(f178,plain,( 0.15/0.49 geq(vd355,vd356) | ~spl4_8), 0.15/0.49 inference(avatar_component_clause,[],[f177])). 0.15/0.49 fof(f117,plain,( 0.15/0.49 ( ! [X0,X1] : (~geq(X1,X0) | X0 = X1 | greater(X1,X0)) )), 0.15/0.49 inference(cnf_transformation,[],[f58])). 0.15/0.49 fof(f985,plain,( 0.15/0.49 spl4_4 | spl4_18 | ~spl4_6), 0.15/0.49 inference(avatar_split_clause,[],[f284,f170,f293,f163])). 0.15/0.49 fof(f293,plain,( 0.15/0.49 spl4_18 <=> vd353 = vd354), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_18])])). 0.15/0.49 fof(f284,plain,( 0.15/0.49 vd353 = vd354 | greater(vd353,vd354) | ~spl4_6), 0.15/0.49 inference(resolution,[],[f117,f171])). 0.15/0.49 fof(f984,plain,( 0.15/0.49 spl4_2 | ~spl4_14), 0.15/0.49 inference(avatar_split_clause,[],[f221,f216,f157])). 0.15/0.49 fof(f216,plain,( 0.15/0.49 spl4_14 <=> less(vd356,vd355)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_14])])). 0.15/0.49 fof(f221,plain,( 0.15/0.49 greater(vd355,vd356) | ~spl4_14), 0.15/0.49 inference(resolution,[],[f132,f217])). 0.15/0.49 fof(f217,plain,( 0.15/0.49 less(vd356,vd355) | ~spl4_14), 0.15/0.49 inference(avatar_component_clause,[],[f216])). 0.15/0.49 fof(f132,plain,( 0.15/0.49 ( ! [X0,X1] : (~less(X0,X1) | greater(X1,X0)) )), 0.15/0.49 inference(cnf_transformation,[],[f92])). 0.15/0.49 fof(f92,plain,( 0.15/0.49 ! [X0,X1] : (greater(X1,X0) | ~less(X0,X1))), 0.15/0.49 inference(ennf_transformation,[],[f68])). 0.15/0.49 fof(f68,plain,( 0.15/0.49 ! [X0,X1] : (less(X0,X1) => greater(X1,X0))), 0.15/0.49 inference(rectify,[],[f11])). 0.15/0.49 fof(f11,axiom,( 0.15/0.49 ! [X18,X19] : (less(X18,X19) => greater(X19,X18))), 0.15/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)')). 0.15/0.49 fof(f983,plain,( 0.15/0.49 spl4_2 | ~spl4_8 | spl4_27), 0.15/0.49 inference(avatar_split_clause,[],[f982,f404,f177,f157])). 0.15/0.49 fof(f404,plain,( 0.15/0.49 spl4_27 <=> vd355 != vd356), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_27])])). 0.15/0.49 fof(f982,plain,( 0.15/0.49 greater(vd355,vd356) | (~spl4_8 | ~spl4_27)), 0.15/0.49 inference(subsumption_resolution,[],[f285,f405])). 0.15/0.49 fof(f405,plain,( 0.15/0.49 vd355 != vd356 | ~spl4_27), 0.15/0.49 inference(avatar_component_clause,[],[f404])). 0.15/0.49 fof(f979,plain,( 0.15/0.49 spl4_21 | ~spl4_22), 0.15/0.49 inference(avatar_contradiction_clause,[],[f969])). 0.15/0.49 fof(f969,plain,( 0.15/0.49 $false | (~spl4_21 | ~spl4_22)), 0.15/0.49 inference(subsumption_resolution,[],[f305,f954])). 0.15/0.49 fof(f954,plain,( 0.15/0.49 ( ! [X12] : (greater(vplus(X12,vd355),vplus(X12,vd356))) ) | ~spl4_22), 0.15/0.49 inference(superposition,[],[f631,f371])). 0.15/0.49 fof(f371,plain,( 0.15/0.49 vd355 = vplus(vd356,sK0(vd356,vd355)) | ~spl4_22), 0.15/0.49 inference(avatar_component_clause,[],[f370])). 0.15/0.49 fof(f370,plain,( 0.15/0.49 spl4_22 <=> vd355 = vplus(vd356,sK0(vd356,vd355))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_22])])). 0.15/0.49 fof(f305,plain,( 0.15/0.49 ~greater(vplus(vd353,vd355),vplus(vd353,vd356)) | ~spl4_21), 0.15/0.49 inference(avatar_component_clause,[],[f304])). 0.15/0.49 fof(f304,plain,( 0.15/0.49 spl4_21 <=> ~greater(vplus(vd353,vd355),vplus(vd353,vd356))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_21])])). 0.15/0.49 fof(f466,plain,( 0.15/0.49 ~spl4_33 | ~spl4_30), 0.15/0.49 inference(avatar_split_clause,[],[f463,f418,f425])). 0.15/0.49 fof(f463,plain,( 0.15/0.49 ~greater(sK0(vd356,vd355),vd355) | ~spl4_30), 0.15/0.49 inference(resolution,[],[f419,f134])). 0.15/0.49 fof(f460,plain,( 0.15/0.49 spl4_36 | ~spl4_34), 0.15/0.49 inference(avatar_split_clause,[],[f459,f432,f439])). 0.15/0.49 fof(f459,plain,( 0.15/0.49 leq(sK0(vd356,vd355),vd355) | ~spl4_34), 0.15/0.49 inference(resolution,[],[f433,f118])). 0.15/0.49 fof(f457,plain,( 0.15/0.49 spl4_34 | ~spl4_28), 0.15/0.49 inference(avatar_split_clause,[],[f448,f411,f432])). 0.15/0.49 fof(f448,plain,( 0.15/0.49 geq(vd355,sK0(vd356,vd355)) | ~spl4_28), 0.15/0.49 inference(resolution,[],[f412,f116])). 0.15/0.49 fof(f456,plain,( 0.15/0.49 spl4_30 | ~spl4_28), 0.15/0.49 inference(avatar_split_clause,[],[f447,f411,f418])). 0.15/0.49 fof(f447,plain,( 0.15/0.49 less(sK0(vd356,vd355),vd355) | ~spl4_28), 0.15/0.49 inference(resolution,[],[f412,f131])). 0.15/0.49 fof(f455,plain,( 0.15/0.49 spl4_38 | ~spl4_28), 0.15/0.49 inference(avatar_split_clause,[],[f446,f411,f453])). 0.15/0.49 fof(f453,plain,( 0.15/0.49 spl4_38 <=> vd355 = vplus(sK0(vd356,vd355),sK0(sK0(vd356,vd355),vd355))), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_38])])). 0.15/0.49 fof(f446,plain,( 0.15/0.49 vd355 = vplus(sK0(vd356,vd355),sK0(sK0(vd356,vd355),vd355)) | ~spl4_28), 0.15/0.49 inference(resolution,[],[f412,f98])). 0.15/0.49 fof(f441,plain,( 0.15/0.49 spl4_36 | ~spl4_22), 0.15/0.49 inference(avatar_split_clause,[],[f391,f370,f439])). 0.15/0.49 fof(f391,plain,( 0.15/0.49 leq(sK0(vd356,vd355),vd355) | ~spl4_22), 0.15/0.49 inference(superposition,[],[f253,f371])). 0.15/0.49 fof(f434,plain,( 0.15/0.49 spl4_34 | ~spl4_22), 0.15/0.49 inference(avatar_split_clause,[],[f388,f370,f432])). 0.15/0.49 fof(f388,plain,( 0.15/0.49 geq(vd355,sK0(vd356,vd355)) | ~spl4_22), 0.15/0.49 inference(superposition,[],[f246,f371])). 0.15/0.49 fof(f427,plain,( 0.15/0.49 ~spl4_33 | ~spl4_22), 0.15/0.49 inference(avatar_split_clause,[],[f387,f370,f425])). 0.15/0.49 fof(f387,plain,( 0.15/0.49 ~greater(sK0(vd356,vd355),vd355) | ~spl4_22), 0.15/0.49 inference(superposition,[],[f237,f371])). 0.15/0.49 fof(f420,plain,( 0.15/0.49 spl4_30 | ~spl4_22), 0.15/0.49 inference(avatar_split_clause,[],[f386,f370,f418])). 0.15/0.49 fof(f386,plain,( 0.15/0.49 less(sK0(vd356,vd355),vd355) | ~spl4_22), 0.15/0.49 inference(superposition,[],[f234,f371])). 0.15/0.49 fof(f413,plain,( 0.15/0.49 spl4_28 | ~spl4_22), 0.15/0.49 inference(avatar_split_clause,[],[f385,f370,f411])). 0.15/0.49 fof(f385,plain,( 0.15/0.49 greater(vd355,sK0(vd356,vd355)) | ~spl4_22), 0.15/0.49 inference(superposition,[],[f231,f371])). 0.15/0.49 fof(f406,plain,( 0.15/0.49 ~spl4_27 | ~spl4_22), 0.15/0.49 inference(avatar_split_clause,[],[f380,f370,f404])). 0.15/0.49 fof(f380,plain,( 0.15/0.49 vd355 != vd356 | ~spl4_22), 0.15/0.49 inference(superposition,[],[f140,f371])). 0.15/0.49 fof(f140,plain,( 0.15/0.49 ( ! [X2,X0] : (vplus(X0,X2) != X0) )), 0.15/0.49 inference(equality_resolution,[],[f110])). 0.15/0.49 fof(f110,plain,( 0.15/0.49 ( ! [X2,X0,X1] : (vplus(X0,X2) != X1 | X0 != X1) )), 0.15/0.49 inference(cnf_transformation,[],[f80])). 0.15/0.49 fof(f80,plain,( 0.15/0.49 ! [X0,X1] : (X0 != X1 | ! [X2] : vplus(X0,X2) != X1)), 0.15/0.49 inference(ennf_transformation,[],[f53])). 0.15/0.49 fof(f53,plain,( 0.15/0.49 ! [X0,X1] : (X0 != X1 | ~? [X2] : vplus(X0,X2) = X1)), 0.15/0.49 inference(rectify,[],[f14])). 0.15/0.49 fof(f14,axiom,( 0.15/0.49 ! [X5,X6] : (X5 != X6 | ~? [X21] : vplus(X5,X21) = X6)), 0.15/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)')). 0.15/0.49 fof(f399,plain,( 0.15/0.49 ~spl4_25 | ~spl4_22), 0.15/0.49 inference(avatar_split_clause,[],[f378,f370,f397])). 0.15/0.49 fof(f378,plain,( 0.15/0.49 vd355 != sK0(vd356,vd355) | ~spl4_22), 0.15/0.49 inference(superposition,[],[f114,f371])). 0.15/0.49 fof(f372,plain,( 0.15/0.49 spl4_22 | ~spl4_2), 0.15/0.49 inference(avatar_split_clause,[],[f365,f157,f370])). 0.15/0.49 fof(f365,plain,( 0.15/0.49 vd355 = vplus(vd356,sK0(vd356,vd355)) | ~spl4_2), 0.15/0.49 inference(resolution,[],[f98,f158])). 0.15/0.49 fof(f158,plain,( 0.15/0.49 greater(vd355,vd356) | ~spl4_2), 0.15/0.49 inference(avatar_component_clause,[],[f157])). 0.15/0.49 fof(f306,plain,( 0.15/0.49 ~spl4_21 | spl4_1 | ~spl4_18), 0.15/0.49 inference(avatar_split_clause,[],[f299,f293,f150,f304])). 0.15/0.49 fof(f299,plain,( 0.15/0.49 ~greater(vplus(vd353,vd355),vplus(vd353,vd356)) | (~spl4_1 | ~spl4_18)), 0.15/0.49 inference(backward_demodulation,[],[f294,f151])). 0.15/0.49 fof(f294,plain,( 0.15/0.49 vd353 = vd354 | ~spl4_18), 0.15/0.49 inference(avatar_component_clause,[],[f293])). 0.15/0.49 fof(f295,plain,( 0.15/0.49 spl4_18 | spl4_5 | ~spl4_6), 0.15/0.49 inference(avatar_split_clause,[],[f288,f170,f160,f293])). 0.15/0.49 fof(f288,plain,( 0.15/0.49 vd353 = vd354 | (~spl4_5 | ~spl4_6)), 0.15/0.49 inference(subsumption_resolution,[],[f284,f161])). 0.15/0.49 fof(f161,plain,( 0.15/0.49 ~greater(vd353,vd354) | ~spl4_5), 0.15/0.49 inference(avatar_component_clause,[],[f160])). 0.15/0.49 fof(f230,plain,( 0.15/0.49 ~spl4_17 | ~spl4_14), 0.15/0.49 inference(avatar_split_clause,[],[f223,f216,f228])). 0.15/0.49 fof(f228,plain,( 0.15/0.49 spl4_17 <=> ~greater(vd356,vd355)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_17])])). 0.15/0.49 fof(f223,plain,( 0.15/0.49 ~greater(vd356,vd355) | ~spl4_14), 0.15/0.49 inference(resolution,[],[f134,f217])). 0.15/0.49 fof(f218,plain,( 0.15/0.49 spl4_14 | ~spl4_2), 0.15/0.49 inference(avatar_split_clause,[],[f211,f157,f216])). 0.15/0.49 fof(f211,plain,( 0.15/0.49 less(vd356,vd355) | ~spl4_2), 0.15/0.49 inference(resolution,[],[f131,f158])). 0.15/0.49 fof(f204,plain,( 0.15/0.49 spl4_12 | ~spl4_8), 0.15/0.49 inference(avatar_split_clause,[],[f189,f177,f202])). 0.15/0.49 fof(f202,plain,( 0.15/0.49 spl4_12 <=> leq(vd356,vd355)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_12])])). 0.15/0.49 fof(f189,plain,( 0.15/0.49 leq(vd356,vd355) | ~spl4_8), 0.15/0.49 inference(resolution,[],[f118,f178])). 0.15/0.49 fof(f197,plain,( 0.15/0.49 spl4_10 | ~spl4_6), 0.15/0.49 inference(avatar_split_clause,[],[f188,f170,f195])). 0.15/0.49 fof(f188,plain,( 0.15/0.49 leq(vd354,vd353) | ~spl4_6), 0.15/0.49 inference(resolution,[],[f118,f171])). 0.15/0.49 fof(f186,plain,( 0.15/0.49 spl4_8 | ~spl4_2), 0.15/0.49 inference(avatar_split_clause,[],[f185,f157,f177])). 0.15/0.49 fof(f185,plain,( 0.15/0.49 geq(vd355,vd356) | ~spl4_2), 0.15/0.49 inference(resolution,[],[f158,f116])). 0.15/0.49 fof(f184,plain,( 0.15/0.49 ~spl4_4 | spl4_7), 0.15/0.49 inference(avatar_contradiction_clause,[],[f183])). 0.15/0.49 fof(f183,plain,( 0.15/0.49 $false | (~spl4_4 | ~spl4_7)), 0.15/0.49 inference(subsumption_resolution,[],[f181,f168])). 0.15/0.49 fof(f168,plain,( 0.15/0.49 ~geq(vd353,vd354) | ~spl4_7), 0.15/0.49 inference(avatar_component_clause,[],[f167])). 0.15/0.49 fof(f167,plain,( 0.15/0.49 spl4_7 <=> ~geq(vd353,vd354)), 0.15/0.49 introduced(avatar_definition,[new_symbols(naming,[spl4_7])])). 0.15/0.49 fof(f181,plain,( 0.15/0.49 geq(vd353,vd354) | ~spl4_4), 0.15/0.49 inference(resolution,[],[f116,f164])). 0.15/0.49 fof(f180,plain,( 0.15/0.49 spl4_6 | spl4_8), 0.15/0.49 inference(avatar_split_clause,[],[f101,f177,f170])). 0.15/0.49 fof(f101,plain,( 0.15/0.49 geq(vd355,vd356) | geq(vd353,vd354)), 0.15/0.49 inference(cnf_transformation,[],[f37])). 0.15/0.49 fof(f37,axiom,( 0.15/0.49 (greater(vd355,vd356) & geq(vd353,vd354)) | (geq(vd355,vd356) & greater(vd353,vd354))), 0.15/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(antec(218))')). 0.15/0.49 fof(f179,plain,( 0.15/0.49 spl4_2 | spl4_8), 0.15/0.49 inference(avatar_split_clause,[],[f102,f177,f157])). 0.15/0.49 fof(f102,plain,( 0.15/0.49 geq(vd355,vd356) | greater(vd355,vd356)), 0.15/0.49 inference(cnf_transformation,[],[f37])). 0.15/0.49 fof(f172,plain,( 0.15/0.49 spl4_6 | spl4_4), 0.15/0.49 inference(avatar_split_clause,[],[f103,f163,f170])). 0.15/0.49 fof(f103,plain,( 0.15/0.49 greater(vd353,vd354) | geq(vd353,vd354)), 0.15/0.49 inference(cnf_transformation,[],[f37])). 0.15/0.49 fof(f165,plain,( 0.15/0.49 spl4_2 | spl4_4), 0.15/0.49 inference(avatar_split_clause,[],[f104,f163,f157])). 0.15/0.49 fof(f104,plain,( 0.15/0.49 greater(vd353,vd354) | greater(vd355,vd356)), 0.15/0.49 inference(cnf_transformation,[],[f37])). 0.15/0.49 fof(f152,plain,( 0.15/0.49 ~spl4_1), 0.15/0.49 inference(avatar_split_clause,[],[f93,f150])). 0.15/0.49 fof(f93,plain,( 0.15/0.49 ~greater(vplus(vd353,vd355),vplus(vd354,vd356))), 0.15/0.49 inference(cnf_transformation,[],[f43])). 0.15/0.49 fof(f43,plain,( 0.15/0.49 ~greater(vplus(vd353,vd355),vplus(vd354,vd356))), 0.15/0.49 inference(flattening,[],[f2])). 0.15/0.49 fof(f2,negated_conjecture,( 0.15/0.49 ~greater(vplus(vd353,vd355),vplus(vd354,vd356))), 0.15/0.49 inference(negated_conjecture,[],[f1])). 0.15/0.49 fof(f1,conjecture,( 0.15/0.49 greater(vplus(vd353,vd355),vplus(vd354,vd356))), 0.15/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(218), 361, 0)')). 0.15/0.49 % SZS output end Proof for theBenchmark 0.15/0.49 % ------------------------------ 0.15/0.49 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.15/0.49 % Termination reason: Refutation 0.15/0.49 0.15/0.49 % Memory used [KB]: 1407 0.15/0.49 % Time elapsed: 0.102 s 0.15/0.49 % ------------------------------ 0.15/0.49 % ------------------------------ 0.15/0.49 % Success in time 0.171 s 0.15/0.49 EOF