0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : run_vampire %s %d 0.13/0.34 % Computer : n008.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Thu Jul 2 08:57:44 EDT 2020 0.13/0.34 % CPUTime : 0.20/0.45 % (14152)lrs-11_12_av=off:nm=32:nwc=1.3:stl=30:sd=3:ss=axioms:sos=all_2 on theBenchmark 0.20/0.47 % (14163)lrs-3_4:1_afp=1000:afq=1.4:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on_11 on theBenchmark 0.20/0.48 % (14171)lrs+1011_10_aac=none:acc=model:add=large:afp=40000:afq=2.0:anc=none:bd=off:bsr=on:fsr=off:gs=on:gsem=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=3:nicw=on:stl=30_19 on theBenchmark 0.20/0.48 % (14175)ott+4_40_av=off:bce=on:cond=fast:fde=none:nm=0:nwc=1:sos=all:updr=off_197 on theBenchmark 0.20/0.48 % (14172)lrs+1011_5:4_acc=on:add=large:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_126 on theBenchmark 0.20/0.49 % (14166)lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:bce=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:sas=z3:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.20/0.49 % (14167)lrs+1011_3:1_add=off:afr=on:afp=10000:afq=1.1:amm=off:bce=on:cond=on:ep=R:fsr=off:nm=16:nwc=1:stl=30:sos=all:sp=reverse_arity:updr=off_9 on theBenchmark 0.20/0.49 % (14180)lrs+11_4:1_aac=none:add=large:afr=on:afp=10000:afq=1.0:amm=sco:anc=none:cond=on:er=filter:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:sas=z3:stl=30:sos=theory:sp=reverse_arity:updr=off_3 on theBenchmark 0.20/0.49 % (14156)lrs+1011_5_add=large:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_10 on theBenchmark 0.20/0.49 % (14158)ott+11_16_av=off:gs=on:gsem=on:irw=on:lma=on:nm=64:newcnf=on:nwc=1.3:sas=z3:sp=reverse_arity_14 on theBenchmark 0.20/0.50 % (14179)dis+1002_6_add=large:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_10 on theBenchmark 0.20/0.50 % (14159)lrs+11_20_av=off:bs=unit_only:bsr=on:bce=on:cond=on:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=theory:sp=reverse_arity:uhcvi=on_3 on theBenchmark 0.20/0.50 % (14164)lrs+1011_7_add=large:afr=on:afp=40000:afq=1.4:amm=off:anc=none:cond=on:er=known:fsr=off:lma=on:nm=4:nwc=2.5:stl=30:sp=reverse_arity:updr=off_2 on theBenchmark 0.20/0.50 % (14165)lrs+10_4:1_add=large:afp=100000:afq=1.1:anc=none:ep=RST:fde=unused:gsp=input_only:nm=6:newcnf=on:nwc=1:stl=30:sos=all:sac=on:sp=reverse_arity:urr=ec_only_22 on theBenchmark 0.20/0.51 % (14178)lrs+1011_8:1_afr=on:afp=1000:afq=2.0:br=off:gsp=input_only:gs=on:nm=16:nwc=1:stl=30:sos=all:sp=occurrence:urr=on_8 on theBenchmark 0.20/0.51 % (14155)dis+1011_24_add=large:afr=on:afp=4000:afq=1.0:anc=none:bs=unit_only:bce=on:cond=fast:gs=on:nm=32:nwc=2.5:nicw=on:sp=occurrence:updr=off_39 on theBenchmark 0.20/0.51 % (14170)ott+1002_8:1_add=off:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sas=z3:sp=occurrence:urr=on:updr=off_14 on theBenchmark 0.20/0.52 % (14173)dis+1011_10_av=off:cond=on:lma=on:nm=0:newcnf=on:nwc=1:sos=on:sp=occurrence:updr=off_4 on theBenchmark 0.20/0.52 % (14154)dis+2_2:1_aac=none:afp=100000:afq=1.1:amm=sco:anc=none:bsr=on:fsr=off:gs=on:gsem=on:lcm=reverse:lma=on:nm=64:nwc=1:sos=on_6 on theBenchmark 0.20/0.52 % (14181)dis+1010_3:2_av=off:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 0.20/0.52 % (14153)lrs+2_3:1_add=large:afr=on:afp=10000:afq=1.1:amm=off:anc=none:er=known:fde=unused:gs=on:gsaa=from_current:gsem=on:lma=on:nm=32:newcnf=on:nwc=4:sas=z3:stl=30:sd=1:ss=axioms:st=5.0:sac=on:sp=occurrence:updr=off_2 on theBenchmark 0.20/0.52 % (14174)dis+1002_7_acc=on:afp=4000:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_8 on theBenchmark 0.20/0.52 % (14162)lrs+1003_3_awrs=decay:awrsf=4:add=large:afr=on:afp=100000:afq=2.0:amm=sco:bd=off:cond=fast:fsr=off:fde=unused:gs=on:gsem=on:nm=6:nwc=1:stl=30:sd=1:ss=axioms:st=1.2:sos=on:sac=on:sp=frequency:urr=on:updr=off_2 on theBenchmark 0.20/0.53 % (14157)lrs+11_128_av=off:bsr=on:cond=on:gs=on:lcm=reverse:lma=on:nm=32:nwc=1:stl=30:sd=5:ss=axioms:st=3.0_1 on theBenchmark 0.20/0.53 % (14161)lrs+11_1_add=large:afr=on:afp=100000:afq=2.0:amm=off:anc=none:bd=off:gs=on:gsem=on:irw=on:nm=32:newcnf=on:nwc=2.5:nicw=on:stl=30:sd=3:ss=axioms:sos=all:urr=on_34 on theBenchmark 0.20/0.53 % (14160)ott+2_2_afp=10000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_18 on theBenchmark 1.20/0.54 % (14174)Refutation not found, incomplete strategy% (14174)------------------------------ 1.20/0.54 % (14174)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.20/0.54 % (14174)Termination reason: Refutation not found, incomplete strategy 1.20/0.54 1.20/0.54 % (14174)Memory used [KB]: 11001 1.20/0.54 % (14174)Time elapsed: 0.125 s 1.20/0.54 % (14174)------------------------------ 1.20/0.54 % (14174)------------------------------ 1.20/0.54 % (14169)ott+11_4_afp=100000:afq=1.2:amm=sco:anc=none:cond=fast:ep=R:fde=none:gs=on:gsaa=from_current:gsem=off:lma=on:nm=16:nwc=1:sd=3:ss=axioms:updr=off_2 on theBenchmark 1.20/0.54 % (14177)dis+1_3:2_acc=on:add=off:afr=on:afp=40000:afq=1.0:amm=sco:anc=none:ccuc=small_ones:cond=on:lma=on:nm=64:nwc=1.3:sos=all:urr=on_111 on theBenchmark 1.20/0.54 % (14176)lrs+1010_3_av=off:fsr=off:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark 1.20/0.54 % (14168)dis+1_2:3_acc=on:add=large:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark 1.20/0.55 % (14162)Refutation found. Thanks to Tanya! 1.20/0.55 % SZS status Theorem for theBenchmark 1.53/0.57 % SZS output start Proof for theBenchmark 1.53/0.57 fof(f262,plain,( 1.53/0.57 $false), 1.53/0.57 inference(global_subsumption,[],[f163,f255])). 1.53/0.57 fof(f255,plain,( 1.53/0.57 apply(sK1,sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK14(sK1,sK4,sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)))), 1.53/0.57 inference(superposition,[],[f118,f251])). 1.53/0.57 fof(f251,plain,( 1.53/0.57 sK14(sK1,sK4,sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)) = sK14(sK1,sK4,sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5))), 1.53/0.57 inference(forward_demodulation,[],[f250,f207])). 1.53/0.57 fof(f207,plain,( 1.53/0.57 sK14(sK1,sK4,sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)) = sK6(sK2,sK1,sK4,sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5))), 1.53/0.57 inference(unit_resulting_resolution,[],[f94,f95,f101,f102,f137,f135,f81])). 1.53/0.57 fof(f81,plain,( 1.53/0.57 ( ! [X6,X2,X0,X8,X7,X1] : (~member(X8,X1) | ~apply(X0,X6,X8) | ~apply(X0,X6,X7) | X7 = X8 | ~member(X6,X2) | ~member(X7,X1) | ~sP0(X0,X1,X2)) )), 1.53/0.57 inference(cnf_transformation,[],[f58])). 1.53/0.57 fof(f58,plain,( 1.53/0.57 ! [X0,X1,X2] : ((sP0(X0,X1,X2) | (sK11(X0,X1,X2) != sK12(X0,X1,X2) & apply(X0,sK10(X0,X1,X2),sK12(X0,X1,X2)) & apply(X0,sK10(X0,X1,X2),sK11(X0,X1,X2)) & member(sK12(X0,X1,X2),X1) & member(sK10(X0,X1,X2),X2) & member(sK11(X0,X1,X2),X1))) & (! [X6,X7,X8] : (X7 = X8 | ~apply(X0,X6,X8) | ~apply(X0,X6,X7) | ~member(X8,X1) | ~member(X6,X2) | ~member(X7,X1)) | ~sP0(X0,X1,X2)))), 1.53/0.57 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f56,f57])). 1.53/0.57 fof(f57,plain,( 1.53/0.57 ! [X2,X1,X0] : (? [X3,X4,X5] : (X4 != X5 & apply(X0,X3,X5) & apply(X0,X3,X4) & member(X5,X1) & member(X3,X2) & member(X4,X1)) => (sK11(X0,X1,X2) != sK12(X0,X1,X2) & apply(X0,sK10(X0,X1,X2),sK12(X0,X1,X2)) & apply(X0,sK10(X0,X1,X2),sK11(X0,X1,X2)) & member(sK12(X0,X1,X2),X1) & member(sK10(X0,X1,X2),X2) & member(sK11(X0,X1,X2),X1)))), 1.53/0.57 introduced(choice_axiom,[])). 1.53/0.57 fof(f56,plain,( 1.53/0.57 ! [X0,X1,X2] : ((sP0(X0,X1,X2) | ? [X3,X4,X5] : (X4 != X5 & apply(X0,X3,X5) & apply(X0,X3,X4) & member(X5,X1) & member(X3,X2) & member(X4,X1))) & (! [X6,X7,X8] : (X7 = X8 | ~apply(X0,X6,X8) | ~apply(X0,X6,X7) | ~member(X8,X1) | ~member(X6,X2) | ~member(X7,X1)) | ~sP0(X0,X1,X2)))), 1.53/0.57 inference(rectify,[],[f55])). 1.53/0.57 fof(f55,plain,( 1.53/0.57 ! [X0,X2,X1] : ((sP0(X0,X2,X1) | ? [X5,X6,X7] : (X6 != X7 & apply(X0,X5,X7) & apply(X0,X5,X6) & member(X7,X2) & member(X5,X1) & member(X6,X2))) & (! [X5,X6,X7] : (X6 = X7 | ~apply(X0,X5,X7) | ~apply(X0,X5,X6) | ~member(X7,X2) | ~member(X5,X1) | ~member(X6,X2)) | ~sP0(X0,X2,X1)))), 1.53/0.57 inference(nnf_transformation,[],[f43])). 1.53/0.57 fof(f43,plain,( 1.53/0.57 ! [X0,X2,X1] : (sP0(X0,X2,X1) <=> ! [X5,X6,X7] : (X6 = X7 | ~apply(X0,X5,X7) | ~apply(X0,X5,X6) | ~member(X7,X2) | ~member(X5,X1) | ~member(X6,X2)))), 1.53/0.57 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])). 1.53/0.57 fof(f135,plain,( 1.53/0.57 apply(sK1,sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK6(sK2,sK1,sK4,sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)))), 1.53/0.57 inference(unit_resulting_resolution,[],[f96,f95,f98,f70])). 1.53/0.57 fof(f70,plain,( 1.53/0.57 ( ! [X6,X4,X2,X0,X5,X3,X1] : (~member(X6,X4) | ~apply(compose_function(X0,X1,X2,X3,X4),X5,X6) | ~member(X5,X2) | apply(X1,X5,sK6(X0,X1,X3,X5,X6))) )), 1.53/0.57 inference(cnf_transformation,[],[f50])). 1.53/0.57 fof(f50,plain,( 1.53/0.57 ! [X0,X1,X2,X3,X4,X5,X6] : (((apply(compose_function(X0,X1,X2,X3,X4),X5,X6) | ! [X7] : (~member(X7,X3) | ~apply(X0,X7,X6) | ~apply(X1,X5,X7))) & ((member(sK6(X0,X1,X3,X5,X6),X3) & apply(X0,sK6(X0,X1,X3,X5,X6),X6) & apply(X1,X5,sK6(X0,X1,X3,X5,X6))) | ~apply(compose_function(X0,X1,X2,X3,X4),X5,X6))) | ~member(X5,X2) | ~member(X6,X4))), 1.53/0.57 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f48,f49])). 1.53/0.57 fof(f49,plain,( 1.53/0.57 ! [X6,X5,X3,X1,X0] : (? [X8] : (member(X8,X3) & apply(X0,X8,X6) & apply(X1,X5,X8)) => (member(sK6(X0,X1,X3,X5,X6),X3) & apply(X0,sK6(X0,X1,X3,X5,X6),X6) & apply(X1,X5,sK6(X0,X1,X3,X5,X6))))), 1.53/0.57 introduced(choice_axiom,[])). 1.53/0.57 fof(f48,plain,( 1.53/0.57 ! [X0,X1,X2,X3,X4,X5,X6] : (((apply(compose_function(X0,X1,X2,X3,X4),X5,X6) | ! [X7] : (~member(X7,X3) | ~apply(X0,X7,X6) | ~apply(X1,X5,X7))) & (? [X8] : (member(X8,X3) & apply(X0,X8,X6) & apply(X1,X5,X8)) | ~apply(compose_function(X0,X1,X2,X3,X4),X5,X6))) | ~member(X5,X2) | ~member(X6,X4))), 1.53/0.57 inference(rectify,[],[f47])). 1.53/0.57 fof(f47,plain,( 1.53/0.57 ! [X0,X1,X2,X3,X4,X5,X6] : (((apply(compose_function(X0,X1,X2,X3,X4),X5,X6) | ! [X7] : (~member(X7,X3) | ~apply(X0,X7,X6) | ~apply(X1,X5,X7))) & (? [X7] : (member(X7,X3) & apply(X0,X7,X6) & apply(X1,X5,X7)) | ~apply(compose_function(X0,X1,X2,X3,X4),X5,X6))) | ~member(X5,X2) | ~member(X6,X4))), 1.53/0.57 inference(nnf_transformation,[],[f38])). 1.53/0.57 fof(f38,plain,( 1.53/0.57 ! [X0,X1,X2,X3,X4,X5,X6] : ((apply(compose_function(X0,X1,X2,X3,X4),X5,X6) <=> ? [X7] : (member(X7,X3) & apply(X0,X7,X6) & apply(X1,X5,X7))) | ~member(X5,X2) | ~member(X6,X4))), 1.53/0.57 inference(flattening,[],[f37])). 1.53/0.57 fof(f37,plain,( 1.53/0.57 ! [X0,X1,X2,X3,X4,X5,X6] : ((apply(compose_function(X0,X1,X2,X3,X4),X5,X6) <=> ? [X7] : (member(X7,X3) & apply(X0,X7,X6) & apply(X1,X5,X7))) | (~member(X5,X2) | ~member(X6,X4)))), 1.53/0.57 inference(ennf_transformation,[],[f32])). 1.53/0.57 fof(f32,plain,( 1.53/0.57 ! [X0,X1,X2,X3,X4,X5,X6] : ((member(X5,X2) & member(X6,X4)) => (apply(compose_function(X0,X1,X2,X3,X4),X5,X6) <=> ? [X7] : (member(X7,X3) & apply(X0,X7,X6) & apply(X1,X5,X7))))), 1.53/0.57 inference(rectify,[],[f14])). 1.53/0.57 fof(f14,axiom,( 1.53/0.57 ! [X6,X5,X1,X2,X7,X0,X8] : ((member(X0,X1) & member(X8,X7)) => (apply(compose_function(X6,X5,X1,X2,X7),X0,X8) <=> ? [X3] : (member(X3,X2) & apply(X6,X3,X8) & apply(X5,X0,X3))))), 1.53/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_function)). 1.53/0.57 fof(f98,plain,( 1.53/0.57 apply(compose_function(sK2,sK1,sK3,sK4,sK5),sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5))), 1.53/0.57 inference(unit_resulting_resolution,[],[f69,f78])). 1.53/0.57 fof(f78,plain,( 1.53/0.57 ( ! [X2,X0,X1] : (apply(X0,sK7(X0,X1,X2),sK9(X0,X1,X2)) | injective(X0,X1,X2)) )), 1.53/0.57 inference(cnf_transformation,[],[f54])). 1.53/0.57 fof(f54,plain,( 1.53/0.57 ! [X0,X1,X2] : ((injective(X0,X1,X2) | (sK7(X0,X1,X2) != sK8(X0,X1,X2) & apply(X0,sK8(X0,X1,X2),sK9(X0,X1,X2)) & apply(X0,sK7(X0,X1,X2),sK9(X0,X1,X2)) & member(sK8(X0,X1,X2),X1) & member(sK9(X0,X1,X2),X2) & member(sK7(X0,X1,X2),X1))) & (! [X6,X7,X8] : (X6 = X7 | ~apply(X0,X7,X8) | ~apply(X0,X6,X8) | ~member(X7,X1) | ~member(X8,X2) | ~member(X6,X1)) | ~injective(X0,X1,X2)))), 1.53/0.57 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f52,f53])). 1.53/0.57 fof(f53,plain,( 1.53/0.57 ! [X2,X1,X0] : (? [X3,X4,X5] : (X3 != X4 & apply(X0,X4,X5) & apply(X0,X3,X5) & member(X4,X1) & member(X5,X2) & member(X3,X1)) => (sK7(X0,X1,X2) != sK8(X0,X1,X2) & apply(X0,sK8(X0,X1,X2),sK9(X0,X1,X2)) & apply(X0,sK7(X0,X1,X2),sK9(X0,X1,X2)) & member(sK8(X0,X1,X2),X1) & member(sK9(X0,X1,X2),X2) & member(sK7(X0,X1,X2),X1)))), 1.53/0.57 introduced(choice_axiom,[])). 1.53/0.57 fof(f52,plain,( 1.53/0.57 ! [X0,X1,X2] : ((injective(X0,X1,X2) | ? [X3,X4,X5] : (X3 != X4 & apply(X0,X4,X5) & apply(X0,X3,X5) & member(X4,X1) & member(X5,X2) & member(X3,X1))) & (! [X6,X7,X8] : (X6 = X7 | ~apply(X0,X7,X8) | ~apply(X0,X6,X8) | ~member(X7,X1) | ~member(X8,X2) | ~member(X6,X1)) | ~injective(X0,X1,X2)))), 1.53/0.57 inference(rectify,[],[f51])). 1.53/0.57 fof(f51,plain,( 1.53/0.57 ! [X0,X1,X2] : ((injective(X0,X1,X2) | ? [X3,X4,X5] : (X3 != X4 & apply(X0,X4,X5) & apply(X0,X3,X5) & member(X4,X1) & member(X5,X2) & member(X3,X1))) & (! [X3,X4,X5] : (X3 = X4 | ~apply(X0,X4,X5) | ~apply(X0,X3,X5) | ~member(X4,X1) | ~member(X5,X2) | ~member(X3,X1)) | ~injective(X0,X1,X2)))), 1.53/0.57 inference(nnf_transformation,[],[f40])). 1.53/0.57 fof(f40,plain,( 1.53/0.57 ! [X0,X1,X2] : (injective(X0,X1,X2) <=> ! [X3,X4,X5] : (X3 = X4 | ~apply(X0,X4,X5) | ~apply(X0,X3,X5) | ~member(X4,X1) | ~member(X5,X2) | ~member(X3,X1)))), 1.53/0.57 inference(flattening,[],[f39])). 1.53/0.57 fof(f39,plain,( 1.53/0.57 ! [X0,X1,X2] : (injective(X0,X1,X2) <=> ! [X3,X4,X5] : ((X3 = X4 | (~apply(X0,X4,X5) | ~apply(X0,X3,X5))) | (~member(X4,X1) | ~member(X5,X2) | ~member(X3,X1))))), 1.53/0.57 inference(ennf_transformation,[],[f33])). 1.53/0.57 fof(f33,plain,( 1.53/0.57 ! [X0,X1,X2] : (injective(X0,X1,X2) <=> ! [X3,X4,X5] : ((member(X4,X1) & member(X5,X2) & member(X3,X1)) => ((apply(X0,X4,X5) & apply(X0,X3,X5)) => X3 = X4)))), 1.53/0.57 inference(rectify,[],[f18])). 1.53/0.57 fof(f18,axiom,( 1.53/0.57 ! [X5,X1,X2] : (injective(X5,X1,X2) <=> ! [X13,X14,X3] : ((member(X14,X1) & member(X3,X2) & member(X13,X1)) => ((apply(X5,X14,X3) & apply(X5,X13,X3)) => X13 = X14)))), 1.53/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injective)). 1.53/0.57 fof(f69,plain,( 1.53/0.57 ~injective(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)), 1.53/0.57 inference(cnf_transformation,[],[f46])). 1.53/0.57 fof(f46,plain,( 1.53/0.57 ~injective(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5) & maps(sK1,sK3,sK4) & injective(sK2,sK4,sK5) & injective(sK1,sK3,sK4) & maps(sK2,sK4,sK5)), 1.53/0.57 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f36,f45])). 1.53/0.57 fof(f45,plain,( 1.53/0.57 ? [X0,X1,X2,X3,X4] : (~injective(compose_function(X1,X0,X2,X3,X4),X2,X4) & maps(X0,X2,X3) & injective(X1,X3,X4) & injective(X0,X2,X3) & maps(X1,X3,X4)) => (~injective(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5) & maps(sK1,sK3,sK4) & injective(sK2,sK4,sK5) & injective(sK1,sK3,sK4) & maps(sK2,sK4,sK5))), 1.53/0.57 introduced(choice_axiom,[])). 1.53/0.57 fof(f36,plain,( 1.53/0.57 ? [X0,X1,X2,X3,X4] : (~injective(compose_function(X1,X0,X2,X3,X4),X2,X4) & maps(X0,X2,X3) & injective(X1,X3,X4) & injective(X0,X2,X3) & maps(X1,X3,X4))), 1.53/0.57 inference(flattening,[],[f35])). 1.53/0.57 fof(f35,plain,( 1.53/0.57 ? [X0,X1,X2,X3,X4] : (~injective(compose_function(X1,X0,X2,X3,X4),X2,X4) & (maps(X0,X2,X3) & injective(X1,X3,X4) & injective(X0,X2,X3) & maps(X1,X3,X4)))), 1.53/0.57 inference(ennf_transformation,[],[f31])). 1.53/0.57 fof(f31,plain,( 1.53/0.57 ~! [X0,X1,X2,X3,X4] : ((maps(X0,X2,X3) & injective(X1,X3,X4) & injective(X0,X2,X3) & maps(X1,X3,X4)) => injective(compose_function(X1,X0,X2,X3,X4),X2,X4))), 1.53/0.57 inference(rectify,[],[f30])). 1.53/0.57 fof(f30,negated_conjecture,( 1.53/0.57 ~! [X5,X6,X1,X2,X7] : ((maps(X5,X1,X2) & injective(X6,X2,X7) & injective(X5,X1,X2) & maps(X6,X2,X7)) => injective(compose_function(X6,X5,X1,X2,X7),X1,X7))), 1.53/0.57 inference(negated_conjecture,[],[f29])). 1.53/0.57 fof(f29,conjecture,( 1.53/0.57 ! [X5,X6,X1,X2,X7] : ((maps(X5,X1,X2) & injective(X6,X2,X7) & injective(X5,X1,X2) & maps(X6,X2,X7)) => injective(compose_function(X6,X5,X1,X2,X7),X1,X7))), 1.53/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII07)). 1.53/0.57 fof(f96,plain,( 1.53/0.57 member(sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK5)), 1.53/0.57 inference(unit_resulting_resolution,[],[f69,f76])). 1.53/0.57 fof(f76,plain,( 1.53/0.57 ( ! [X2,X0,X1] : (member(sK9(X0,X1,X2),X2) | injective(X0,X1,X2)) )), 1.53/0.57 inference(cnf_transformation,[],[f54])). 1.53/0.57 fof(f137,plain,( 1.53/0.57 member(sK6(sK2,sK1,sK4,sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)),sK4)), 1.53/0.57 inference(unit_resulting_resolution,[],[f96,f95,f98,f72])). 1.53/0.57 fof(f72,plain,( 1.53/0.57 ( ! [X6,X4,X2,X0,X5,X3,X1] : (member(sK6(X0,X1,X3,X5,X6),X3) | ~apply(compose_function(X0,X1,X2,X3,X4),X5,X6) | ~member(X5,X2) | ~member(X6,X4)) )), 1.53/0.57 inference(cnf_transformation,[],[f50])). 1.53/0.57 fof(f102,plain,( 1.53/0.57 apply(sK1,sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK14(sK1,sK4,sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)))), 1.53/0.57 inference(unit_resulting_resolution,[],[f68,f95,f90])). 1.53/0.57 fof(f90,plain,( 1.53/0.57 ( ! [X2,X0,X5,X1] : (~member(X5,X1) | apply(X0,X5,sK14(X0,X2,X5)) | ~maps(X0,X1,X2)) )), 1.53/0.57 inference(cnf_transformation,[],[f64])). 1.53/0.57 fof(f64,plain,( 1.53/0.57 ! [X0,X1,X2] : ((maps(X0,X1,X2) | (! [X4] : (~apply(X0,sK13(X0,X1,X2),X4) | ~member(X4,X2)) & member(sK13(X0,X1,X2),X1)) | ~sP0(X0,X2,X1)) & ((! [X5] : ((apply(X0,X5,sK14(X0,X2,X5)) & member(sK14(X0,X2,X5),X2)) | ~member(X5,X1)) & sP0(X0,X2,X1)) | ~maps(X0,X1,X2)))), 1.53/0.57 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f61,f63,f62])). 1.53/0.57 fof(f62,plain,( 1.53/0.57 ! [X2,X1,X0] : (? [X3] : (! [X4] : (~apply(X0,X3,X4) | ~member(X4,X2)) & member(X3,X1)) => (! [X4] : (~apply(X0,sK13(X0,X1,X2),X4) | ~member(X4,X2)) & member(sK13(X0,X1,X2),X1)))), 1.53/0.57 introduced(choice_axiom,[])). 1.53/0.57 fof(f63,plain,( 1.53/0.57 ! [X5,X2,X0] : (? [X6] : (apply(X0,X5,X6) & member(X6,X2)) => (apply(X0,X5,sK14(X0,X2,X5)) & member(sK14(X0,X2,X5),X2)))), 1.53/0.57 introduced(choice_axiom,[])). 1.53/0.57 fof(f61,plain,( 1.53/0.57 ! [X0,X1,X2] : ((maps(X0,X1,X2) | ? [X3] : (! [X4] : (~apply(X0,X3,X4) | ~member(X4,X2)) & member(X3,X1)) | ~sP0(X0,X2,X1)) & ((! [X5] : (? [X6] : (apply(X0,X5,X6) & member(X6,X2)) | ~member(X5,X1)) & sP0(X0,X2,X1)) | ~maps(X0,X1,X2)))), 1.53/0.57 inference(rectify,[],[f60])). 1.53/0.57 fof(f60,plain,( 1.53/0.57 ! [X0,X1,X2] : ((maps(X0,X1,X2) | ? [X3] : (! [X4] : (~apply(X0,X3,X4) | ~member(X4,X2)) & member(X3,X1)) | ~sP0(X0,X2,X1)) & ((! [X3] : (? [X4] : (apply(X0,X3,X4) & member(X4,X2)) | ~member(X3,X1)) & sP0(X0,X2,X1)) | ~maps(X0,X1,X2)))), 1.53/0.57 inference(flattening,[],[f59])). 1.53/0.57 fof(f59,plain,( 1.53/0.57 ! [X0,X1,X2] : ((maps(X0,X1,X2) | (? [X3] : (! [X4] : (~apply(X0,X3,X4) | ~member(X4,X2)) & member(X3,X1)) | ~sP0(X0,X2,X1))) & ((! [X3] : (? [X4] : (apply(X0,X3,X4) & member(X4,X2)) | ~member(X3,X1)) & sP0(X0,X2,X1)) | ~maps(X0,X1,X2)))), 1.53/0.57 inference(nnf_transformation,[],[f44])). 1.53/0.57 fof(f44,plain,( 1.53/0.57 ! [X0,X1,X2] : (maps(X0,X1,X2) <=> (! [X3] : (? [X4] : (apply(X0,X3,X4) & member(X4,X2)) | ~member(X3,X1)) & sP0(X0,X2,X1)))), 1.53/0.57 inference(definition_folding,[],[f42,f43])). 1.53/0.57 fof(f42,plain,( 1.53/0.57 ! [X0,X1,X2] : (maps(X0,X1,X2) <=> (! [X3] : (? [X4] : (apply(X0,X3,X4) & member(X4,X2)) | ~member(X3,X1)) & ! [X5,X6,X7] : (X6 = X7 | ~apply(X0,X5,X7) | ~apply(X0,X5,X6) | ~member(X7,X2) | ~member(X5,X1) | ~member(X6,X2))))), 1.53/0.57 inference(flattening,[],[f41])). 1.53/0.57 fof(f41,plain,( 1.53/0.57 ! [X0,X1,X2] : (maps(X0,X1,X2) <=> (! [X3] : (? [X4] : (apply(X0,X3,X4) & member(X4,X2)) | ~member(X3,X1)) & ! [X5,X6,X7] : ((X6 = X7 | (~apply(X0,X5,X7) | ~apply(X0,X5,X6))) | (~member(X7,X2) | ~member(X5,X1) | ~member(X6,X2)))))), 1.53/0.57 inference(ennf_transformation,[],[f34])). 1.53/0.57 fof(f34,plain,( 1.53/0.57 ! [X0,X1,X2] : (maps(X0,X1,X2) <=> (! [X3] : (member(X3,X1) => ? [X4] : (apply(X0,X3,X4) & member(X4,X2))) & ! [X5,X6,X7] : ((member(X7,X2) & member(X5,X1) & member(X6,X2)) => ((apply(X0,X5,X7) & apply(X0,X5,X6)) => X6 = X7))))), 1.53/0.57 inference(rectify,[],[f24])). 1.53/0.57 fof(f24,axiom,( 1.53/0.57 ! [X5,X1,X2] : (maps(X5,X1,X2) <=> (! [X0] : (member(X0,X1) => ? [X3] : (apply(X5,X0,X3) & member(X3,X2))) & ! [X0,X9,X10] : ((member(X10,X2) & member(X0,X1) & member(X9,X2)) => ((apply(X5,X0,X10) & apply(X5,X0,X9)) => X9 = X10))))), 1.53/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps)). 1.53/0.57 fof(f68,plain,( 1.53/0.57 maps(sK1,sK3,sK4)), 1.53/0.57 inference(cnf_transformation,[],[f46])). 1.53/0.57 fof(f101,plain,( 1.53/0.57 member(sK14(sK1,sK4,sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)),sK4)), 1.53/0.57 inference(unit_resulting_resolution,[],[f68,f95,f89])). 1.53/0.57 fof(f89,plain,( 1.53/0.57 ( ! [X2,X0,X5,X1] : (member(sK14(X0,X2,X5),X2) | ~member(X5,X1) | ~maps(X0,X1,X2)) )), 1.53/0.57 inference(cnf_transformation,[],[f64])). 1.53/0.57 fof(f95,plain,( 1.53/0.57 member(sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK3)), 1.53/0.57 inference(unit_resulting_resolution,[],[f69,f75])). 1.53/0.57 fof(f75,plain,( 1.53/0.57 ( ! [X2,X0,X1] : (member(sK7(X0,X1,X2),X1) | injective(X0,X1,X2)) )), 1.53/0.57 inference(cnf_transformation,[],[f54])). 1.53/0.57 fof(f94,plain,( 1.53/0.57 sP0(sK1,sK4,sK3)), 1.53/0.57 inference(unit_resulting_resolution,[],[f68,f88])). 1.53/0.57 fof(f88,plain,( 1.53/0.57 ( ! [X2,X0,X1] : (sP0(X0,X2,X1) | ~maps(X0,X1,X2)) )), 1.53/0.57 inference(cnf_transformation,[],[f64])). 1.53/0.57 fof(f250,plain,( 1.53/0.57 sK14(sK1,sK4,sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)) = sK6(sK2,sK1,sK4,sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5))), 1.53/0.57 inference(forward_demodulation,[],[f247,f232])). 1.53/0.57 fof(f232,plain,( 1.53/0.57 sK14(sK1,sK4,sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)) = sK6(sK2,sK1,sK4,sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5))), 1.53/0.57 inference(unit_resulting_resolution,[],[f94,f97,f117,f118,f149,f147,f81])). 1.53/0.57 fof(f147,plain,( 1.53/0.57 apply(sK1,sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK6(sK2,sK1,sK4,sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)))), 1.53/0.57 inference(unit_resulting_resolution,[],[f96,f97,f99,f70])). 1.53/0.57 fof(f99,plain,( 1.53/0.57 apply(compose_function(sK2,sK1,sK3,sK4,sK5),sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5))), 1.53/0.57 inference(unit_resulting_resolution,[],[f69,f79])). 1.53/0.57 fof(f79,plain,( 1.53/0.57 ( ! [X2,X0,X1] : (apply(X0,sK8(X0,X1,X2),sK9(X0,X1,X2)) | injective(X0,X1,X2)) )), 1.53/0.57 inference(cnf_transformation,[],[f54])). 1.53/0.57 fof(f149,plain,( 1.53/0.57 member(sK6(sK2,sK1,sK4,sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)),sK4)), 1.53/0.57 inference(unit_resulting_resolution,[],[f96,f97,f99,f72])). 1.53/0.57 fof(f117,plain,( 1.53/0.57 member(sK14(sK1,sK4,sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)),sK4)), 1.53/0.57 inference(unit_resulting_resolution,[],[f68,f97,f89])). 1.53/0.57 fof(f97,plain,( 1.53/0.57 member(sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK3)), 1.53/0.57 inference(unit_resulting_resolution,[],[f69,f77])). 1.53/0.57 fof(f77,plain,( 1.53/0.57 ( ! [X2,X0,X1] : (member(sK8(X0,X1,X2),X1) | injective(X0,X1,X2)) )), 1.53/0.57 inference(cnf_transformation,[],[f54])). 1.53/0.57 fof(f247,plain,( 1.53/0.57 sK6(sK2,sK1,sK4,sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)) = sK6(sK2,sK1,sK4,sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5))), 1.53/0.57 inference(unit_resulting_resolution,[],[f67,f96,f137,f136,f149,f148,f74])). 1.53/0.57 fof(f74,plain,( 1.53/0.57 ( ! [X6,X2,X0,X8,X7,X1] : (~member(X8,X2) | ~apply(X0,X7,X8) | ~apply(X0,X6,X8) | ~member(X7,X1) | X6 = X7 | ~member(X6,X1) | ~injective(X0,X1,X2)) )), 1.53/0.57 inference(cnf_transformation,[],[f54])). 1.53/0.57 fof(f148,plain,( 1.53/0.57 apply(sK2,sK6(sK2,sK1,sK4,sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)),sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5))), 1.53/0.57 inference(unit_resulting_resolution,[],[f96,f97,f99,f71])). 1.53/0.57 fof(f71,plain,( 1.53/0.57 ( ! [X6,X4,X2,X0,X5,X3,X1] : (~member(X6,X4) | ~apply(compose_function(X0,X1,X2,X3,X4),X5,X6) | ~member(X5,X2) | apply(X0,sK6(X0,X1,X3,X5,X6),X6)) )), 1.53/0.57 inference(cnf_transformation,[],[f50])). 1.53/0.57 fof(f136,plain,( 1.53/0.57 apply(sK2,sK6(sK2,sK1,sK4,sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)),sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5))), 1.53/0.57 inference(unit_resulting_resolution,[],[f96,f95,f98,f71])). 1.53/0.57 fof(f67,plain,( 1.53/0.57 injective(sK2,sK4,sK5)), 1.53/0.57 inference(cnf_transformation,[],[f46])). 1.53/0.57 fof(f118,plain,( 1.53/0.57 apply(sK1,sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK14(sK1,sK4,sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)))), 1.53/0.57 inference(unit_resulting_resolution,[],[f68,f97,f90])). 1.53/0.57 fof(f163,plain,( 1.53/0.57 ~apply(sK1,sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK14(sK1,sK4,sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)))), 1.53/0.57 inference(unit_resulting_resolution,[],[f66,f97,f100,f95,f101,f102,f74])). 1.53/0.57 fof(f100,plain,( 1.53/0.57 sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5) != sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)), 1.53/0.57 inference(unit_resulting_resolution,[],[f69,f80])). 1.53/0.57 fof(f80,plain,( 1.53/0.57 ( ! [X2,X0,X1] : (sK7(X0,X1,X2) != sK8(X0,X1,X2) | injective(X0,X1,X2)) )), 1.53/0.57 inference(cnf_transformation,[],[f54])). 1.53/0.57 fof(f66,plain,( 1.53/0.57 injective(sK1,sK3,sK4)), 1.53/0.57 inference(cnf_transformation,[],[f46])). 1.53/0.57 % SZS output end Proof for theBenchmark 1.53/0.57 % (14162)------------------------------ 1.53/0.57 % (14162)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.53/0.57 % (14162)Termination reason: Refutation 1.53/0.57 1.53/0.57 % (14162)Memory used [KB]: 11001 1.53/0.57 % (14162)Time elapsed: 0.136 s 1.53/0.57 % (14162)------------------------------ 1.53/0.57 % (14162)------------------------------ 1.53/0.57 % (14151)Success in time 0.211 s 1.53/0.57 EOF