0.05/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.13 % Command : run_vampire %s %d 0.11/0.33 % Computer : n028.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Thu Jul 2 09:12:21 EDT 2020 0.11/0.33 % CPUTime : 0.18/0.50 % (2788)dis+1010_7_afr=on:afp=10000:afq=1.1:amm=sco:anc=none:bd=off:bsr=on:cond=on:fsr=off:lma=on:nm=32:newcnf=on:nwc=1:urr=ec_only:updr=off_83 on theBenchmark 0.18/0.52 % (2780)dis-1_2:3_av=off:cond=on:fsr=off:irw=on:lma=on:nwc=3:sd=3:ss=axioms:st=3.0:sp=occurrence:updr=off_9 on theBenchmark 0.18/0.52 % (2781)dis+10_3_add=off:afp=40000:afq=1.0:amm=sco:anc=none:er=filter:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1.3:sp=reverse_arity:updr=off_2 on theBenchmark 0.18/0.52 % (2789)lrs+10_1_av=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=5.0:sos=on:sp=reverse_arity_2 on theBenchmark 0.18/0.53 % (2799)dis-11_3_add=off:afp=40000:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_1 on theBenchmark 0.18/0.53 % (2790)dis+1011_3_afp=4000:afq=1.1:amm=sco:anc=none:gs=on:gsaa=from_current:gsem=off:irw=on:nm=16:nwc=1:sas=z3:ss=axioms:sos=all:sac=on:sp=reverse_arity:updr=off_17 on theBenchmark 0.18/0.54 % (2798)dis+1010_4_acc=on:afr=on:afp=1000:afq=2.0:anc=none:bd=off:bs=unit_only:bsr=on:ccuc=small_ones:cond=fast:fsr=off:gs=on:gsem=off:lcm=reverse:lma=on:nm=64:nwc=2.5:nicw=on:sd=3:ss=axioms:st=3.0:sac=on:urr=ec_only:updr=off:uhcvi=on_83 on theBenchmark 0.18/0.54 % (2782)lrs+1_8:1_av=off:cond=fast:fde=unused:lcm=predicate:nm=16:nwc=10:stl=60:sp=occurrence:urr=ec_only_3 on theBenchmark 1.16/0.55 % (2797)lrs+1011_2:3_av=off:gs=on:gsem=off:nwc=1.5:stl=30:sos=theory:sp=occurrence:urr=ec_only:updr=off_223 on theBenchmark 1.16/0.57 % (2775)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 1.51/0.57 % (2792)lrs+1_7_av=off:irw=on:lcm=predicate:lma=on:nm=4:newcnf=on:nwc=1:stl=30:sos=all:sp=occurrence:updr=off_36 on theBenchmark 1.51/0.57 % (2778)dis+11_2:1_add=large:afp=1000:afq=1.2:amm=sco:anc=none:cond=on:gs=on:gsem=off:nm=16:newcnf=on:nwc=1:sas=z3:sd=1:ss=axioms:st=1.2:sos=on:sp=reverse_arity:updr=off_5 on theBenchmark 1.51/0.57 % (2779)dis+1002_8:1_av=off:br=off:cond=on:irw=on:lma=on:nm=32:nwc=1:sp=occurrence:urr=on_89 on theBenchmark 1.51/0.57 % (2791)dis+1010_10_afr=on:afp=100000:afq=2.0:amm=sco:anc=none:ep=RS:fde=unused:gs=on:nwc=1:sos=on:sac=on:sp=occurrence_9 on theBenchmark 1.51/0.58 % (2776)dis+11_3_av=off:fsr=off:lcm=predicate:lma=on:nm=4:nwc=1:sd=3:ss=axioms:st=1.2:sos=on:updr=off_4 on theBenchmark 1.51/0.58 % (2796)dis+1010_3:2_acc=on:afr=on:afp=1000:afq=1.2:amm=sco:bs=on:ccuc=first:fde=none:nm=0:nwc=4:sd=3:ss=axioms:st=5.0:urr=ec_only_75 on theBenchmark 1.51/0.58 % (2783)lrs+11_3_afr=on:afp=10000:afq=1.0:cond=fast:fsr=off:fde=none:gs=on:gsem=off:lcm=reverse:nm=2:newcnf=on:nwc=1:sas=z3:stl=30:sd=10:ss=axioms:st=2.0:sos=all:sp=reverse_arity:urr=on:uhcvi=on_23 on theBenchmark 1.51/0.58 % (2795)ott+4_4:1_acc=model:add=large:afr=on:afp=10000:afq=1.4:amm=off:anc=none:bd=preordered:bs=unit_only:ccuc=first:cond=on:gs=on:nm=32:nwc=1.5:sac=on:urr=on:updr=off_13 on theBenchmark 1.51/0.59 % (2787)lrs+1011_1_afp=40000:afq=1.4:bd=off:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:nwc=1:stl=30:sd=2:ss=axioms:sos=all:sp=occurrence_6 on theBenchmark 1.51/0.59 % (2784)lrs+1002_1_av=off:fde=unused:lwlo=on:nm=16:nwc=4:stl=30:sp=occurrence_66 on theBenchmark 1.51/0.59 % (2777)dis+1_5:1_aac=none:afr=on:afp=100000:afq=1.4:amm=sco:anc=none:br=off:gsp=input_only:gs=on:gsem=on:lcm=reverse:nm=6:nwc=1:nicw=on:sas=z3:sos=on:urr=on_1 on theBenchmark 1.51/0.59 % (2800)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_91 on theBenchmark 1.51/0.59 % (2803)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_73 on theBenchmark 1.51/0.60 % (2794)lrs+1011_3:2_av=off:er=known:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=2:ss=axioms:st=3.0:urr=on:updr=off_24 on theBenchmark 1.51/0.61 % (2786)lrs+4_2_av=off:gs=on:gsem=on:lma=on:nm=16:nwc=1:sas=z3:stl=30:sos=on:urr=on_23 on theBenchmark 1.51/0.62 % (2793)ott-3_3_av=off:cond=fast:fde=none:lcm=reverse:nm=6:nwc=1:sd=5:ss=axioms:st=2.0:sos=on:sp=reverse_arity:updr=off:uhcvi=on_88 on theBenchmark 1.51/0.62 % (2802)lrs-4_5:1_add=large:afr=on:afp=40000:afq=1.4:amm=off:anc=none:bs=unit_only:bsr=on:irw=on:lcm=reverse:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:updr=off_6 on theBenchmark 1.51/0.65 % (2801)lrs+1_1_aac=none:acc=model:add=large:afp=100000:afq=1.2:anc=none:bd=off:bs=on:bsr=on:ccuc=first:cond=on:fde=unused:irw=on:nm=2:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:uhcvi=on_11 on theBenchmark 1.51/0.66 % (2804)lrs+11_3_av=off:bce=on:cond=fast:ep=R:lcm=reverse:lma=on:newcnf=on:nwc=1.3:stl=30:sd=3:ss=axioms:st=1.2:sos=on:sp=occurrence:uhcvi=on_2 on theBenchmark 1.51/0.66 % (2785)dis+1002_7_acc=on:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:ccuc=first:fsr=off:gsp=input_only:gs=on:gsem=on:nm=6:nwc=1.1:nicw=on:sos=on:sac=on:sp=occurrence:urr=ec_only_217 on theBenchmark 3.30/0.81 % (2787)Refutation found. Thanks to Tanya! 3.30/0.81 % SZS status Theorem for theBenchmark 3.30/0.81 % SZS output start Proof for theBenchmark 3.30/0.81 fof(f2928,plain,( 3.30/0.81 $false), 3.30/0.81 inference(avatar_sat_refutation,[],[f658,f668,f689,f715,f721,f724,f742,f756,f761,f776,f865,f999,f1065,f1090,f1094,f1095,f1186,f1722,f1812,f1843,f1856,f2045,f2071,f2167,f2207,f2237,f2458,f2460,f2927])). 3.30/0.81 fof(f2927,plain,( 3.30/0.81 ~spl10_3 | spl10_10 | ~spl10_11), 3.30/0.81 inference(avatar_contradiction_clause,[],[f2926])). 3.30/0.81 fof(f2926,plain,( 3.30/0.81 $false | (~spl10_3 | spl10_10 | ~spl10_11)), 3.30/0.81 inference(subsumption_resolution,[],[f2925,f2553])). 3.30/0.81 fof(f2553,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK8),v_L) | ~spl10_3), 3.30/0.81 inference(resolution,[],[f653,f592])). 3.30/0.81 fof(f592,plain,( 3.30/0.81 ( ! [X0,X1] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) | ~sP0(X0,X1)) )), 3.30/0.81 inference(cnf_transformation,[],[f563])). 3.30/0.81 fof(f563,plain,( 3.30/0.81 ! [X0,X1] : ((((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) & v_x = sK6(X0,X1)) | (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK6(X0,X1)),v_L) & v_x != sK6(X0,X1) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sK6(X0,X1)),v_L))) & v_x != X1 & v_x != X0 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)) | ~sP0(X0,X1))), 3.30/0.81 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f561,f562])). 3.30/0.81 fof(f562,plain,( 3.30/0.81 ! [X1,X0] : (? [X2] : ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) & v_x = X2) | (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L) & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L))) => ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) & v_x = sK6(X0,X1)) | (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK6(X0,X1)),v_L) & v_x != sK6(X0,X1) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sK6(X0,X1)),v_L))))), 3.30/0.81 introduced(choice_axiom,[])). 3.30/0.81 fof(f561,plain,( 3.30/0.81 ! [X0,X1] : ((? [X2] : ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) & v_x = X2) | (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L) & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L))) & v_x != X1 & v_x != X0 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)) | ~sP0(X0,X1))), 3.30/0.81 inference(rectify,[],[f560])). 3.30/0.81 fof(f560,plain,( 3.30/0.81 ! [X2,X3] : ((? [X4] : ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X4) | (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L) & v_x != X4 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L))) & v_x != X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L)) | ~sP0(X2,X3))), 3.30/0.81 inference(nnf_transformation,[],[f549])). 3.30/0.81 fof(f549,plain,( 3.30/0.81 ! [X2,X3] : ((? [X4] : ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X4) | (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L) & v_x != X4 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L))) & v_x != X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L)) | ~sP0(X2,X3))), 3.30/0.81 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])). 3.30/0.81 fof(f653,plain,( 3.30/0.81 sP0(sK7,sK8) | ~spl10_3), 3.30/0.81 inference(avatar_component_clause,[],[f651])). 3.30/0.81 fof(f651,plain,( 3.30/0.81 spl10_3 <=> sP0(sK7,sK8)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_3])])). 3.30/0.81 fof(f2925,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK8),v_L) | (spl10_10 | ~spl10_11)), 3.30/0.81 inference(resolution,[],[f2606,f704])). 3.30/0.81 fof(f704,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,v_y),v_L) | ~spl10_11), 3.30/0.81 inference(avatar_component_clause,[],[f702])). 3.30/0.81 fof(f702,plain,( 3.30/0.81 spl10_11 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,v_y),v_L)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_11])])). 3.30/0.81 fof(f2606,plain,( 3.30/0.81 ( ! [X7] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X7,v_y),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,X7),v_L)) ) | spl10_10), 3.30/0.81 inference(resolution,[],[f687,f611])). 3.30/0.81 fof(f611,plain,( 3.30/0.81 ( ! [X4,X5,X3] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X5),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)) )), 3.30/0.81 inference(cnf_transformation,[],[f541])). 3.30/0.81 fof(f541,plain,( 3.30/0.81 ! [X0,X1] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) | X0 = X1) & ! [X2] : ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L) & ! [X3,X4] : (! [X5] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X5),v_L)) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L))), 3.30/0.81 inference(flattening,[],[f540])). 3.30/0.81 fof(f540,plain,( 3.30/0.81 ! [X0,X1] : ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)) | X0 = X1) & ! [X2] : ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L) & ! [X3,X4] : (! [X5] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X5),v_L)) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L))), 3.30/0.81 inference(ennf_transformation,[],[f531])). 3.30/0.81 fof(f531,plain,( 3.30/0.81 ! [X0,X1] : (X0 != X1 => (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L))) & ! [X2] : ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L) & ! [X3,X4] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L) => ! [X5] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X5),v_L) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L)))), 3.30/0.81 inference(rectify,[],[f252])). 3.30/0.81 fof(f252,axiom,( 3.30/0.81 ! [X19,X21] : (X19 != X21 => (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X21),v_L))) & ! [X19] : ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X19),v_L) & ! [X19,X21] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X21),v_L) => ! [X22] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X22),v_L) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X22),v_L)))), 3.30/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)). 3.30/0.81 fof(f687,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_y),v_L) | spl10_10), 3.30/0.81 inference(avatar_component_clause,[],[f686])). 3.30/0.81 fof(f686,plain,( 3.30/0.81 spl10_10 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_y),v_L)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_10])])). 3.30/0.81 fof(f2460,plain,( 3.30/0.81 spl10_37 | ~spl10_9), 3.30/0.81 inference(avatar_split_clause,[],[f2290,f681,f1155])). 3.30/0.81 fof(f1155,plain,( 3.30/0.81 spl10_37 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK8),v_L)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_37])])). 3.30/0.81 fof(f681,plain,( 3.30/0.81 spl10_9 <=> sP1(sK8,v_x)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_9])])). 3.30/0.81 fof(f2290,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK8),v_L) | ~spl10_9), 3.30/0.81 inference(resolution,[],[f683,f582])). 3.30/0.81 fof(f582,plain,( 3.30/0.81 ( ! [X0,X1] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L) | ~sP1(X0,X1)) )), 3.30/0.81 inference(cnf_transformation,[],[f559])). 3.30/0.81 fof(f559,plain,( 3.30/0.81 ! [X0,X1] : ((((v_y != sK5(X0) & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK5(X0)),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK5(X0)),v_L) & v_x != sK5(X0)) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & v_x = sK5(X0))) & v_x = X1 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L) & v_x != X0) | ~sP1(X0,X1))), 3.30/0.81 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f557,f558])). 3.30/0.81 fof(f558,plain,( 3.30/0.81 ! [X0] : (? [X2] : ((v_y != X2 & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X2),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L) & v_x != X2) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & v_x = X2)) => ((v_y != sK5(X0) & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK5(X0)),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK5(X0)),v_L) & v_x != sK5(X0)) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & v_x = sK5(X0))))), 3.30/0.81 introduced(choice_axiom,[])). 3.30/0.81 fof(f557,plain,( 3.30/0.81 ! [X0,X1] : ((? [X2] : ((v_y != X2 & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X2),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L) & v_x != X2) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & v_x = X2)) & v_x = X1 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L) & v_x != X0) | ~sP1(X0,X1))), 3.30/0.81 inference(rectify,[],[f556])). 3.30/0.81 fof(f556,plain,( 3.30/0.81 ! [X3,X2] : ((? [X5] : ((v_y != X5 & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X5),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) & v_x != X5) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X5)) & v_x = X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X3),v_L) & v_x != X3) | ~sP1(X3,X2))), 3.30/0.81 inference(nnf_transformation,[],[f550])). 3.30/0.81 fof(f550,plain,( 3.30/0.81 ! [X3,X2] : ((? [X5] : ((v_y != X5 & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X5),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) & v_x != X5) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X5)) & v_x = X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X3),v_L) & v_x != X3) | ~sP1(X3,X2))), 3.30/0.81 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])). 3.30/0.81 fof(f683,plain,( 3.30/0.81 sP1(sK8,v_x) | ~spl10_9), 3.30/0.81 inference(avatar_component_clause,[],[f681])). 3.30/0.81 fof(f2458,plain,( 3.30/0.81 ~spl10_13 | spl10_14 | ~spl10_37), 3.30/0.81 inference(avatar_contradiction_clause,[],[f2457])). 3.30/0.81 fof(f2457,plain,( 3.30/0.81 $false | (~spl10_13 | spl10_14 | ~spl10_37)), 3.30/0.81 inference(subsumption_resolution,[],[f2455,f713])). 3.30/0.81 fof(f713,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,sK5(sK8)),v_L) | ~spl10_13), 3.30/0.81 inference(avatar_component_clause,[],[f711])). 3.30/0.81 fof(f711,plain,( 3.30/0.81 spl10_13 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,sK5(sK8)),v_L)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_13])])). 3.30/0.81 fof(f2455,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,sK5(sK8)),v_L) | (spl10_14 | ~spl10_37)), 3.30/0.81 inference(resolution,[],[f1157,f1275])). 3.30/0.81 fof(f1275,plain,( 3.30/0.81 ( ! [X1] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sK5(sK8)),v_L)) ) | spl10_14), 3.30/0.81 inference(resolution,[],[f719,f611])). 3.30/0.81 fof(f719,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK5(sK8)),v_L) | spl10_14), 3.30/0.81 inference(avatar_component_clause,[],[f717])). 3.30/0.81 fof(f717,plain,( 3.30/0.81 spl10_14 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK5(sK8)),v_L)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_14])])). 3.30/0.81 fof(f1157,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK8),v_L) | ~spl10_37), 3.30/0.81 inference(avatar_component_clause,[],[f1155])). 3.30/0.81 fof(f2237,plain,( 3.30/0.81 spl10_9 | ~spl10_2 | ~spl10_8), 3.30/0.81 inference(avatar_split_clause,[],[f2233,f677,f647,f681])). 3.30/0.81 fof(f647,plain,( 3.30/0.81 spl10_2 <=> sP1(sK8,sK7)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_2])])). 3.30/0.81 fof(f677,plain,( 3.30/0.81 spl10_8 <=> v_x = sK7), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_8])])). 3.30/0.81 fof(f2233,plain,( 3.30/0.81 sP1(sK8,v_x) | (~spl10_2 | ~spl10_8)), 3.30/0.81 inference(forward_demodulation,[],[f649,f678])). 3.30/0.81 fof(f678,plain,( 3.30/0.81 v_x = sK7 | ~spl10_8), 3.30/0.81 inference(avatar_component_clause,[],[f677])). 3.30/0.81 fof(f649,plain,( 3.30/0.81 sP1(sK8,sK7) | ~spl10_2), 3.30/0.81 inference(avatar_component_clause,[],[f647])). 3.30/0.81 fof(f2207,plain,( 3.30/0.81 ~spl10_6 | spl10_35 | ~spl10_57), 3.30/0.81 inference(avatar_contradiction_clause,[],[f2206])). 3.30/0.81 fof(f2206,plain,( 3.30/0.81 $false | (~spl10_6 | spl10_35 | ~spl10_57)), 3.30/0.81 inference(subsumption_resolution,[],[f2204,f667])). 3.30/0.81 fof(f667,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK9),v_L) | ~spl10_6), 3.30/0.81 inference(avatar_component_clause,[],[f665])). 3.30/0.81 fof(f665,plain,( 3.30/0.81 spl10_6 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK9),v_L)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_6])])). 3.30/0.81 fof(f2204,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK9),v_L) | (spl10_35 | ~spl10_57)), 3.30/0.81 inference(resolution,[],[f2044,f1262])). 3.30/0.81 fof(f1262,plain,( 3.30/0.81 ( ! [X1] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sK7),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)) ) | spl10_35), 3.30/0.81 inference(resolution,[],[f1116,f611])). 3.30/0.81 fof(f1116,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK7),v_L) | spl10_35), 3.30/0.81 inference(avatar_component_clause,[],[f1115])). 3.30/0.81 fof(f1115,plain,( 3.30/0.81 spl10_35 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK7),v_L)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_35])])). 3.30/0.81 fof(f2044,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK9,sK7),v_L) | ~spl10_57), 3.30/0.81 inference(avatar_component_clause,[],[f2042])). 3.30/0.81 fof(f2042,plain,( 3.30/0.81 spl10_57 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK9,sK7),v_L)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_57])])). 3.30/0.81 fof(f2167,plain,( 3.30/0.81 spl10_16 | spl10_20 | spl10_23), 3.30/0.81 inference(avatar_contradiction_clause,[],[f2166])). 3.30/0.81 fof(f2166,plain,( 3.30/0.81 $false | (spl10_16 | spl10_20 | spl10_23)), 3.30/0.81 inference(subsumption_resolution,[],[f2165,f741])). 3.30/0.81 fof(f741,plain,( 3.30/0.81 v_y != sK4 | spl10_16), 3.30/0.81 inference(avatar_component_clause,[],[f739])). 3.30/0.81 fof(f739,plain,( 3.30/0.81 spl10_16 <=> v_y = sK4), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_16])])). 3.30/0.81 fof(f2165,plain,( 3.30/0.81 v_y = sK4 | (spl10_20 | spl10_23)), 3.30/0.81 inference(subsumption_resolution,[],[f2158,f775])). 3.30/0.81 fof(f775,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK4),v_L) | spl10_23), 3.30/0.81 inference(avatar_component_clause,[],[f773])). 3.30/0.81 fof(f773,plain,( 3.30/0.81 spl10_23 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK4),v_L)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_23])])). 3.30/0.81 fof(f2158,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK4),v_L) | v_y = sK4 | spl10_20), 3.30/0.81 inference(resolution,[],[f760,f613])). 3.30/0.81 fof(f613,plain,( 3.30/0.81 ( ! [X0,X1] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) | X0 = X1) )), 3.30/0.81 inference(cnf_transformation,[],[f541])). 3.30/0.81 fof(f760,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK4,v_y),v_L) | spl10_20), 3.30/0.81 inference(avatar_component_clause,[],[f758])). 3.30/0.81 fof(f758,plain,( 3.30/0.81 spl10_20 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK4,v_y),v_L)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_20])])). 3.30/0.81 fof(f2071,plain,( 3.30/0.81 ~spl10_6 | ~spl10_10 | ~spl10_56), 3.30/0.81 inference(avatar_contradiction_clause,[],[f2070])). 3.30/0.81 fof(f2070,plain,( 3.30/0.81 $false | (~spl10_6 | ~spl10_10 | ~spl10_56)), 3.30/0.81 inference(subsumption_resolution,[],[f2069,f688])). 3.30/0.81 fof(f688,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_y),v_L) | ~spl10_10), 3.30/0.81 inference(avatar_component_clause,[],[f686])). 3.30/0.81 fof(f2069,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_y),v_L) | (~spl10_6 | ~spl10_56)), 3.30/0.81 inference(forward_demodulation,[],[f2063,f2040])). 3.30/0.81 fof(f2040,plain,( 3.30/0.81 sK7 = sK9 | ~spl10_56), 3.30/0.81 inference(avatar_component_clause,[],[f2038])). 3.30/0.81 fof(f2038,plain,( 3.30/0.81 spl10_56 <=> sK7 = sK9), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_56])])). 3.30/0.81 fof(f2063,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK9,v_y),v_L) | ~spl10_6), 3.30/0.81 inference(resolution,[],[f667,f872])). 3.30/0.81 fof(f872,plain,( 3.30/0.81 ( ! [X19,X18] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X18,X19),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X18),v_L)) )), 3.30/0.81 inference(resolution,[],[f611,f612])). 3.30/0.81 fof(f612,plain,( 3.30/0.81 ( ! [X2] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L)) )), 3.30/0.81 inference(cnf_transformation,[],[f541])). 3.30/0.81 fof(f2045,plain,( 3.30/0.81 spl10_56 | spl10_57 | spl10_1), 3.30/0.81 inference(avatar_split_clause,[],[f2035,f643,f2042,f2038])). 3.30/0.81 fof(f643,plain,( 3.30/0.81 spl10_1 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK9),v_L)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_1])])). 3.30/0.81 fof(f2035,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK9,sK7),v_L) | sK7 = sK9 | spl10_1), 3.30/0.81 inference(resolution,[],[f645,f613])). 3.30/0.81 fof(f645,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK9),v_L) | spl10_1), 3.30/0.81 inference(avatar_component_clause,[],[f643])). 3.30/0.81 fof(f1856,plain,( 3.30/0.81 ~spl10_4 | ~spl10_15 | ~spl10_17), 3.30/0.81 inference(avatar_split_clause,[],[f1119,f744,f735,f655])). 3.30/0.81 fof(f655,plain,( 3.30/0.81 spl10_4 <=> sP2), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_4])])). 3.30/0.81 fof(f735,plain,( 3.30/0.81 spl10_15 <=> v_x = sK3), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_15])])). 3.30/0.81 fof(f744,plain,( 3.30/0.81 spl10_17 <=> v_x = sK4), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_17])])). 3.30/0.81 fof(f1119,plain,( 3.30/0.81 v_x != sK3 | ~sP2 | ~spl10_17), 3.30/0.81 inference(superposition,[],[f572,f746])). 3.30/0.81 fof(f746,plain,( 3.30/0.81 v_x = sK4 | ~spl10_17), 3.30/0.81 inference(avatar_component_clause,[],[f744])). 3.30/0.81 fof(f572,plain,( 3.30/0.81 sK3 != sK4 | ~sP2), 3.30/0.81 inference(cnf_transformation,[],[f555])). 3.30/0.81 fof(f555,plain,( 3.30/0.81 ((v_x != sK4 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK3,v_y),v_L) | v_x = sK3) & (v_x != sK3 | v_x = sK4 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK4),v_L)) & (v_y != sK3 | v_x != sK4) & (v_x != sK4 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK3),v_L) | v_x = sK3) & (v_x = sK4 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK4,v_y),v_L) | v_x != sK3) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK4,sK3),v_L) | v_x = sK4 | v_x = sK3) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK3,sK4),v_L) | v_x = sK3 | v_x = sK4) & (v_y != sK4 | v_x != sK3) & sK3 != sK4) | ~sP2), 3.30/0.81 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f553,f554])). 3.30/0.81 fof(f554,plain,( 3.30/0.81 ? [X0,X1] : ((v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | v_x = X0) & (v_x != X0 | v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)) & (v_y != X0 | v_x != X1) & (v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L) | v_x = X0) & (v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) | v_x != X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | v_x = X1 | v_x = X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) | v_x = X0 | v_x = X1) & (v_y != X1 | v_x != X0) & X0 != X1) => ((v_x != sK4 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK3,v_y),v_L) | v_x = sK3) & (v_x != sK3 | v_x = sK4 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK4),v_L)) & (v_y != sK3 | v_x != sK4) & (v_x != sK4 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK3),v_L) | v_x = sK3) & (v_x = sK4 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK4,v_y),v_L) | v_x != sK3) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK4,sK3),v_L) | v_x = sK4 | v_x = sK3) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK3,sK4),v_L) | v_x = sK3 | v_x = sK4) & (v_y != sK4 | v_x != sK3) & sK3 != sK4)), 3.30/0.81 introduced(choice_axiom,[])). 3.30/0.81 fof(f553,plain,( 3.30/0.81 ? [X0,X1] : ((v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | v_x = X0) & (v_x != X0 | v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)) & (v_y != X0 | v_x != X1) & (v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L) | v_x = X0) & (v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) | v_x != X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | v_x = X1 | v_x = X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) | v_x = X0 | v_x = X1) & (v_y != X1 | v_x != X0) & X0 != X1) | ~sP2), 3.30/0.81 inference(nnf_transformation,[],[f551])). 3.30/0.81 fof(f551,plain,( 3.30/0.81 ? [X0,X1] : ((v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | v_x = X0) & (v_x != X0 | v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)) & (v_y != X0 | v_x != X1) & (v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L) | v_x = X0) & (v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) | v_x != X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | v_x = X1 | v_x = X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) | v_x = X0 | v_x = X1) & (v_y != X1 | v_x != X0) & X0 != X1) | ~sP2), 3.30/0.81 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])). 3.30/0.81 fof(f1843,plain,( 3.30/0.81 ~spl10_4 | spl10_15 | ~spl10_17 | ~spl10_24), 3.30/0.81 inference(avatar_split_clause,[],[f1842,f778,f744,f735,f655])). 3.30/0.81 fof(f778,plain,( 3.30/0.81 spl10_24 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK3,v_y),v_L)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_24])])). 3.30/0.81 fof(f1842,plain,( 3.30/0.81 v_x = sK3 | ~sP2 | (~spl10_17 | ~spl10_24)), 3.30/0.81 inference(subsumption_resolution,[],[f1129,f779])). 3.30/0.81 fof(f779,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK3,v_y),v_L) | ~spl10_24), 3.30/0.81 inference(avatar_component_clause,[],[f778])). 3.30/0.81 fof(f1129,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK3,v_y),v_L) | v_x = sK3 | ~sP2 | ~spl10_17), 3.30/0.81 inference(trivial_inequality_removal,[],[f1127])). 3.30/0.81 fof(f1127,plain,( 3.30/0.81 v_x != v_x | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK3,v_y),v_L) | v_x = sK3 | ~sP2 | ~spl10_17), 3.30/0.81 inference(superposition,[],[f580,f746])). 3.30/0.81 fof(f580,plain,( 3.30/0.81 v_x != sK4 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK3,v_y),v_L) | v_x = sK3 | ~sP2), 3.30/0.81 inference(cnf_transformation,[],[f555])). 3.30/0.81 fof(f1812,plain,( 3.30/0.81 ~spl10_3 | ~spl10_31 | spl10_33), 3.30/0.81 inference(avatar_contradiction_clause,[],[f1811])). 3.30/0.81 fof(f1811,plain,( 3.30/0.81 $false | (~spl10_3 | ~spl10_31 | spl10_33)), 3.30/0.81 inference(subsumption_resolution,[],[f1794,f1078])). 3.30/0.81 fof(f1078,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,sK6(sK7,sK8)),v_L) | ~spl10_31), 3.30/0.81 inference(avatar_component_clause,[],[f1076])). 3.30/0.81 fof(f1076,plain,( 3.30/0.81 spl10_31 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,sK6(sK7,sK8)),v_L)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_31])])). 3.30/0.81 fof(f1794,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,sK6(sK7,sK8)),v_L) | (~spl10_3 | spl10_33)), 3.30/0.81 inference(resolution,[],[f1322,f1066])). 3.30/0.81 fof(f1066,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK8),v_L) | ~spl10_3), 3.30/0.81 inference(resolution,[],[f653,f592])). 3.30/0.81 fof(f1322,plain,( 3.30/0.81 ( ! [X0] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,X0),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK6(sK7,sK8)),v_L)) ) | spl10_33), 3.30/0.81 inference(resolution,[],[f1087,f611])). 3.30/0.81 fof(f1087,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK6(sK7,sK8)),v_L) | spl10_33), 3.30/0.81 inference(avatar_component_clause,[],[f1085])). 3.30/0.81 fof(f1085,plain,( 3.30/0.81 spl10_33 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK6(sK7,sK8)),v_L)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_33])])). 3.30/0.81 fof(f1722,plain,( 3.30/0.81 ~spl10_3 | ~spl10_10 | ~spl10_31), 3.30/0.81 inference(avatar_contradiction_clause,[],[f1721])). 3.30/0.81 fof(f1721,plain,( 3.30/0.81 $false | (~spl10_3 | ~spl10_10 | ~spl10_31)), 3.30/0.81 inference(subsumption_resolution,[],[f1705,f1078])). 3.30/0.81 fof(f1705,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,sK6(sK7,sK8)),v_L) | (~spl10_3 | ~spl10_10)), 3.30/0.81 inference(resolution,[],[f1456,f1066])). 3.30/0.81 fof(f1456,plain,( 3.30/0.81 ( ! [X0] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,X0),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK6(sK7,sK8)),v_L)) ) | (~spl10_3 | ~spl10_10)), 3.30/0.81 inference(subsumption_resolution,[],[f1454,f688])). 3.30/0.81 fof(f1454,plain,( 3.30/0.81 ( ! [X0] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,X0),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_y),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK6(sK7,sK8)),v_L)) ) | ~spl10_3), 3.30/0.81 inference(resolution,[],[f871,f653])). 3.30/0.81 fof(f871,plain,( 3.30/0.81 ( ! [X17,X15,X16] : (~sP0(X16,X17) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,X15),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X16,v_y),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X15,sK6(X16,X17)),v_L)) )), 3.30/0.81 inference(resolution,[],[f611,f603])). 3.30/0.81 fof(f603,plain,( 3.30/0.81 ( ! [X0,X1] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK6(X0,X1)),v_L) | ~sP0(X0,X1)) )), 3.30/0.81 inference(cnf_transformation,[],[f563])). 3.30/0.81 fof(f1186,plain,( 3.30/0.81 ~spl10_35 | ~spl10_10), 3.30/0.81 inference(avatar_split_clause,[],[f1183,f686,f1115])). 3.30/0.81 fof(f1183,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK7),v_L) | ~spl10_10), 3.30/0.81 inference(resolution,[],[f688,f872])). 3.30/0.81 fof(f1095,plain,( 3.30/0.81 spl10_31 | ~spl10_10 | ~spl10_3), 3.30/0.81 inference(avatar_split_clause,[],[f1072,f651,f686,f1076])). 3.30/0.81 fof(f1072,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_y),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,sK6(sK7,sK8)),v_L) | ~spl10_3), 3.30/0.81 inference(resolution,[],[f653,f601])). 3.30/0.81 fof(f601,plain,( 3.30/0.81 ( ! [X0,X1] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sK6(X0,X1)),v_L) | ~sP0(X0,X1)) )), 3.30/0.81 inference(cnf_transformation,[],[f563])). 3.30/0.81 fof(f1094,plain,( 3.30/0.81 ~spl10_33 | ~spl10_3 | spl10_11), 3.30/0.81 inference(avatar_split_clause,[],[f1093,f702,f651,f1085])). 3.30/0.81 fof(f1093,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK6(sK7,sK8)),v_L) | (~spl10_3 | spl10_11)), 3.30/0.81 inference(subsumption_resolution,[],[f1071,f703])). 3.30/0.81 fof(f703,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,v_y),v_L) | spl10_11), 3.30/0.81 inference(avatar_component_clause,[],[f702])). 3.30/0.81 fof(f1071,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,v_y),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK6(sK7,sK8)),v_L) | ~spl10_3), 3.30/0.81 inference(resolution,[],[f653,f600])). 3.30/0.81 fof(f600,plain,( 3.30/0.81 ( ! [X0,X1] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK6(X0,X1)),v_L) | ~sP0(X0,X1)) )), 3.30/0.81 inference(cnf_transformation,[],[f563])). 3.30/0.81 fof(f1090,plain,( 3.30/0.81 spl10_31 | ~spl10_3 | spl10_11), 3.30/0.81 inference(avatar_split_clause,[],[f1089,f702,f651,f1076])). 3.30/0.81 fof(f1089,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,sK6(sK7,sK8)),v_L) | (~spl10_3 | spl10_11)), 3.30/0.81 inference(subsumption_resolution,[],[f1069,f703])). 3.30/0.81 fof(f1069,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,v_y),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,sK6(sK7,sK8)),v_L) | ~spl10_3), 3.30/0.81 inference(resolution,[],[f653,f598])). 3.30/0.81 fof(f598,plain,( 3.30/0.81 ( ! [X0,X1] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sK6(X0,X1)),v_L) | ~sP0(X0,X1)) )), 3.30/0.81 inference(cnf_transformation,[],[f563])). 3.30/0.81 fof(f1065,plain,( 3.30/0.81 ~spl10_4 | spl10_15 | ~spl10_17 | spl10_24), 3.30/0.81 inference(avatar_split_clause,[],[f1036,f778,f744,f735,f655])). 3.30/0.81 fof(f1036,plain,( 3.30/0.81 ~sP2 | (spl10_15 | ~spl10_17 | spl10_24)), 3.30/0.81 inference(subsumption_resolution,[],[f1035,f746])). 3.30/0.81 fof(f1035,plain,( 3.30/0.81 v_x != sK4 | ~sP2 | (spl10_15 | spl10_24)), 3.30/0.81 inference(subsumption_resolution,[],[f1032,f780])). 3.30/0.81 fof(f780,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK3,v_y),v_L) | spl10_24), 3.30/0.81 inference(avatar_component_clause,[],[f778])). 3.30/0.81 fof(f1032,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK3,v_y),v_L) | v_x != sK4 | ~sP2 | spl10_15), 3.30/0.81 inference(subsumption_resolution,[],[f1031,f578])). 3.30/0.81 fof(f578,plain,( 3.30/0.81 v_y != sK3 | v_x != sK4 | ~sP2), 3.30/0.81 inference(cnf_transformation,[],[f555])). 3.30/0.81 fof(f1031,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK3,v_y),v_L) | v_y = sK3 | v_x != sK4 | ~sP2 | spl10_15), 3.30/0.81 inference(subsumption_resolution,[],[f836,f737])). 3.30/0.81 fof(f737,plain,( 3.30/0.81 v_x != sK3 | spl10_15), 3.30/0.81 inference(avatar_component_clause,[],[f735])). 3.30/0.81 fof(f836,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK3,v_y),v_L) | v_y = sK3 | v_x != sK4 | v_x = sK3 | ~sP2), 3.30/0.81 inference(resolution,[],[f613,f577])). 3.30/0.81 fof(f577,plain,( 3.30/0.81 v_x != sK4 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK3),v_L) | v_x = sK3 | ~sP2), 3.30/0.81 inference(cnf_transformation,[],[f555])). 3.30/0.81 fof(f999,plain,( 3.30/0.81 ~spl10_11 | ~spl10_2), 3.30/0.81 inference(avatar_split_clause,[],[f988,f647,f702])). 3.30/0.81 fof(f988,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,v_y),v_L) | ~spl10_2), 3.30/0.81 inference(resolution,[],[f872,f690])). 3.30/0.81 fof(f690,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK8),v_L) | ~spl10_2), 3.30/0.81 inference(resolution,[],[f649,f582])). 3.30/0.81 fof(f865,plain,( 3.30/0.81 ~spl10_4 | spl10_15 | spl10_17 | spl10_19), 3.30/0.81 inference(avatar_split_clause,[],[f864,f753,f744,f735,f655])). 3.30/0.81 fof(f753,plain,( 3.30/0.81 spl10_19 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK4,sK3),v_L)), 3.30/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_19])])). 3.30/0.81 fof(f864,plain,( 3.30/0.81 ~sP2 | (spl10_15 | spl10_17 | spl10_19)), 3.30/0.81 inference(subsumption_resolution,[],[f863,f572])). 3.30/0.81 fof(f863,plain,( 3.30/0.81 sK3 = sK4 | ~sP2 | (spl10_15 | spl10_17 | spl10_19)), 3.30/0.81 inference(subsumption_resolution,[],[f862,f745])). 3.30/0.81 fof(f745,plain,( 3.30/0.81 v_x != sK4 | spl10_17), 3.30/0.81 inference(avatar_component_clause,[],[f744])). 3.30/0.81 fof(f862,plain,( 3.30/0.81 sK3 = sK4 | v_x = sK4 | ~sP2 | (spl10_15 | spl10_19)), 3.30/0.81 inference(subsumption_resolution,[],[f846,f737])). 3.30/0.81 fof(f846,plain,( 3.30/0.81 sK3 = sK4 | v_x = sK3 | v_x = sK4 | ~sP2 | spl10_19), 3.30/0.81 inference(subsumption_resolution,[],[f840,f755])). 3.30/0.81 fof(f755,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK4,sK3),v_L) | spl10_19), 3.30/0.81 inference(avatar_component_clause,[],[f753])). 3.30/0.81 fof(f840,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK4,sK3),v_L) | sK3 = sK4 | v_x = sK3 | v_x = sK4 | ~sP2), 3.30/0.81 inference(resolution,[],[f613,f574])). 3.30/0.81 fof(f574,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK3,sK4),v_L) | v_x = sK3 | v_x = sK4 | ~sP2), 3.30/0.81 inference(cnf_transformation,[],[f555])). 3.30/0.81 fof(f776,plain,( 3.30/0.81 ~spl10_23 | spl10_17 | ~spl10_15 | ~spl10_4), 3.30/0.81 inference(avatar_split_clause,[],[f732,f655,f735,f744,f773])). 3.30/0.81 fof(f732,plain,( 3.30/0.81 v_x != sK3 | v_x = sK4 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK4),v_L) | ~spl10_4), 3.30/0.81 inference(resolution,[],[f657,f579])). 3.30/0.81 fof(f579,plain,( 3.30/0.81 v_x != sK3 | v_x = sK4 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK4),v_L) | ~sP2), 3.30/0.81 inference(cnf_transformation,[],[f555])). 3.30/0.81 fof(f657,plain,( 3.30/0.81 sP2 | ~spl10_4), 3.30/0.81 inference(avatar_component_clause,[],[f655])). 3.30/0.81 fof(f761,plain,( 3.30/0.81 ~spl10_15 | ~spl10_20 | spl10_17 | ~spl10_4), 3.30/0.81 inference(avatar_split_clause,[],[f729,f655,f744,f758,f735])). 3.30/0.81 fof(f729,plain,( 3.30/0.81 v_x = sK4 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK4,v_y),v_L) | v_x != sK3 | ~spl10_4), 3.30/0.81 inference(resolution,[],[f657,f576])). 3.30/0.81 fof(f576,plain,( 3.30/0.81 v_x = sK4 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK4,v_y),v_L) | v_x != sK3 | ~sP2), 3.30/0.81 inference(cnf_transformation,[],[f555])). 3.30/0.81 fof(f756,plain,( 3.30/0.81 spl10_15 | spl10_17 | ~spl10_19 | ~spl10_4), 3.30/0.81 inference(avatar_split_clause,[],[f728,f655,f753,f744,f735])). 3.30/0.81 fof(f728,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK4,sK3),v_L) | v_x = sK4 | v_x = sK3 | ~spl10_4), 3.30/0.81 inference(resolution,[],[f657,f575])). 3.30/0.81 fof(f575,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK4,sK3),v_L) | v_x = sK4 | v_x = sK3 | ~sP2), 3.30/0.81 inference(cnf_transformation,[],[f555])). 3.30/0.81 fof(f742,plain,( 3.30/0.81 ~spl10_15 | ~spl10_16 | ~spl10_4), 3.30/0.81 inference(avatar_split_clause,[],[f726,f655,f739,f735])). 3.30/0.81 fof(f726,plain,( 3.30/0.81 v_y != sK4 | v_x != sK3 | ~spl10_4), 3.30/0.81 inference(resolution,[],[f657,f573])). 3.30/0.81 fof(f573,plain,( 3.30/0.81 v_y != sK4 | v_x != sK3 | ~sP2), 3.30/0.81 inference(cnf_transformation,[],[f555])). 3.30/0.81 fof(f724,plain,( 3.30/0.81 spl10_8 | ~spl10_2), 3.30/0.81 inference(avatar_split_clause,[],[f691,f647,f677])). 3.30/0.81 fof(f691,plain,( 3.30/0.81 v_x = sK7 | ~spl10_2), 3.30/0.81 inference(resolution,[],[f649,f583])). 3.30/0.81 fof(f583,plain,( 3.30/0.81 ( ! [X0,X1] : (v_x = X1 | ~sP1(X0,X1)) )), 3.30/0.81 inference(cnf_transformation,[],[f559])). 3.30/0.81 fof(f721,plain,( 3.30/0.81 spl10_11 | ~spl10_14 | ~spl10_2), 3.30/0.81 inference(avatar_split_clause,[],[f696,f647,f717,f702])). 3.30/0.81 fof(f696,plain,( 3.30/0.81 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK5(sK8)),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,v_y),v_L) | ~spl10_2), 3.30/0.81 inference(resolution,[],[f649,f589])). 3.30/0.81 fof(f589,plain,( 3.30/0.81 ( ! [X0,X1] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK5(X0)),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | ~sP1(X0,X1)) )), 3.30/0.81 inference(cnf_transformation,[],[f559])). 3.30/0.81 fof(f715,plain,( 3.30/0.81 spl10_11 | spl10_13 | ~spl10_2), 3.30/0.81 inference(avatar_split_clause,[],[f694,f647,f711,f702])). 3.30/0.81 fof(f694,plain,( 3.30/0.81 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,sK5(sK8)),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK8,v_y),v_L) | ~spl10_2), 3.30/0.81 inference(resolution,[],[f649,f587])). 3.30/0.81 fof(f587,plain,( 3.30/0.81 ( ! [X0,X1] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK5(X0)),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | ~sP1(X0,X1)) )), 3.30/0.81 inference(cnf_transformation,[],[f559])). 3.30/0.81 fof(f689,plain,( 3.30/0.81 spl10_10 | spl10_2 | spl10_3 | spl10_4), 3.30/0.81 inference(avatar_split_clause,[],[f604,f655,f651,f647,f686])). 3.30/0.81 fof(f604,plain,( 3.30/0.81 sP2 | sP0(sK7,sK8) | sP1(sK8,sK7) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_y),v_L)), 3.30/0.81 inference(cnf_transformation,[],[f567])). 3.30/0.81 fof(f567,plain,( 3.30/0.81 sP2 | (sP0(sK7,sK8) | sP1(sK8,sK7) | ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK9),v_L) & v_x != sK9 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK9),v_L)) & v_x = sK8 & v_x != sK7 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_y),v_L)))), 3.30/0.81 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f564,f566,f565])). 3.30/0.81 fof(f565,plain,( 3.30/0.81 ? [X0,X1] : (sP0(X0,X1) | sP1(X1,X0) | (? [X2] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L) & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X2),v_L)) & v_x = X1 & v_x != X0 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L))) => (sP0(sK7,sK8) | sP1(sK8,sK7) | (? [X2] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,X2),v_L) & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X2),v_L)) & v_x = sK8 & v_x != sK7 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_y),v_L)))), 3.30/0.81 introduced(choice_axiom,[])). 3.30/0.81 fof(f566,plain,( 3.30/0.81 ? [X2] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,X2),v_L) & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X2),v_L)) => (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK9),v_L) & v_x != sK9 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK9),v_L))), 3.30/0.81 introduced(choice_axiom,[])). 3.30/0.81 fof(f564,plain,( 3.30/0.81 sP2 | ? [X0,X1] : (sP0(X0,X1) | sP1(X1,X0) | (? [X2] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L) & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X2),v_L)) & v_x = X1 & v_x != X0 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)))), 3.30/0.81 inference(rectify,[],[f552])). 3.30/0.81 fof(f552,plain,( 3.30/0.81 sP2 | ? [X2,X3] : (sP0(X2,X3) | sP1(X3,X2) | (? [X6] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L) & v_x != X6 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X6),v_L)) & v_x = X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L)))), 3.30/0.81 inference(definition_folding,[],[f539,f551,f550,f549])). 3.30/0.81 fof(f539,plain,( 3.30/0.81 ? [X0,X1] : ((v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | v_x = X0) & (v_x != X0 | v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)) & (v_y != X0 | v_x != X1) & (v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L) | v_x = X0) & (v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) | v_x != X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | v_x = X1 | v_x = X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) | v_x = X0 | v_x = X1) & (v_y != X1 | v_x != X0) & X0 != X1) | ? [X2,X3] : ((? [X4] : ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X4) | (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L) & v_x != X4 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L))) & v_x != X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L)) | (? [X5] : ((v_y != X5 & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X5),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) & v_x != X5) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X5)) & v_x = X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X3),v_L) & v_x != X3) | (? [X6] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L) & v_x != X6 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X6),v_L)) & v_x = X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L)))), 3.30/0.81 inference(flattening,[],[f538])). 3.30/0.81 fof(f538,plain,( 3.30/0.81 ? [X0,X1] : (((v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | v_x = X0) & (v_x != X0 | v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)) & (v_y != X0 | v_x != X1) & (v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L) | v_x = X0) & (v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) | v_x != X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | v_x = X1 | v_x = X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) | v_x = X0 | v_x = X1) & (v_y != X1 | v_x != X0)) & X0 != X1) | ? [X2,X3] : ((? [X4] : ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L) & (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X4)) | (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L) & (v_x != X4 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)))) & (v_x != X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L))) | (? [X5] : (((v_y != X5 & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X5),v_L)) & (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) & v_x != X5)) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X5)) & (v_x = X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X3),v_L) & v_x != X3)) | (? [X6] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L) & (v_x != X6 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X6),v_L))) & (v_x = X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L))))), 3.30/0.81 inference(ennf_transformation,[],[f530])). 3.30/0.81 fof(f530,plain,( 3.30/0.81 ~(! [X0,X1] : (X0 != X1 => ((v_x = X1 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & v_x != X0) | (v_x = X0 & v_x != X1 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)) | (v_y = X0 & v_x = X1) | (v_x = X1 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L) & v_x != X0) | (v_x != X1 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) & v_x = X0) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) & v_x != X1 & v_x != X0) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) & v_x != X0 & v_x != X1) | (v_y = X1 & v_x = X0))) & ! [X2,X3] : (((v_x != X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L)) => ! [X4] : (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X4) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L)) & ((v_x != X4 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L)))) & ((v_x = X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X3),v_L) & v_x != X3) => ! [X5] : (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) & v_x != X5) => (v_y = X5 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X5),v_L))) & (v_x = X5 => ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L)))) & ((v_x = X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L)) => ! [X6] : ((v_x != X6 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X6),v_L)) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L)))))), 3.30/0.81 inference(rectify,[],[f184])). 3.30/0.81 fof(f184,negated_conjecture,( 3.30/0.81 ~(! [X19,X21] : (X19 != X21 => ((v_x = X21 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,v_y),v_L) & v_x != X19) | (v_x = X19 & v_x != X21 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X21),v_L)) | (v_y = X19 & v_x = X21) | (v_x = X21 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X19),v_L) & v_x != X19) | (v_x != X21 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,v_y),v_L) & v_x = X19) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),v_L) & v_x != X21 & v_x != X19) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X21),v_L) & v_x != X19 & v_x != X21) | (v_y = X21 & v_x = X19))) & ! [X19,X21] : (((v_x != X21 & v_x != X19 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X21),v_L)) => ! [X22] : (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,v_y),v_L) & v_x = X22) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,v_y),v_L)) & ((v_x != X22 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X22),v_L)) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X22),v_L)))) & ((v_x = X19 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X21),v_L) & v_x != X21) => ! [X22] : (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X22),v_L) & v_x != X22) => (v_y = X22 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X22),v_L))) & (v_x = X22 => ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,v_y),v_L)))) & ((v_x = X21 & v_x != X19 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,v_y),v_L)) => ! [X22] : ((v_x != X22 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X22),v_L)) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X22),v_L)))))), 3.30/0.81 inference(negated_conjecture,[],[f183])). 3.30/0.81 fof(f183,conjecture,( 3.30/0.81 ! [X19,X21] : (X19 != X21 => ((v_x = X21 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,v_y),v_L) & v_x != X19) | (v_x = X19 & v_x != X21 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X21),v_L)) | (v_y = X19 & v_x = X21) | (v_x = X21 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X19),v_L) & v_x != X19) | (v_x != X21 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,v_y),v_L) & v_x = X19) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),v_L) & v_x != X21 & v_x != X19) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X21),v_L) & v_x != X19 & v_x != X21) | (v_y = X21 & v_x = X19))) & ! [X19,X21] : (((v_x != X21 & v_x != X19 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X21),v_L)) => ! [X22] : (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,v_y),v_L) & v_x = X22) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,v_y),v_L)) & ((v_x != X22 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X22),v_L)) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X22),v_L)))) & ((v_x = X19 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X21),v_L) & v_x != X21) => ! [X22] : (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X22),v_L) & v_x != X22) => (v_y = X22 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X22),v_L))) & (v_x = X22 => ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,v_y),v_L)))) & ((v_x = X21 & v_x != X19 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,v_y),v_L)) => ! [X22] : ((v_x != X22 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X22),v_L)) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X22),v_L))))), 3.30/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2)). 3.30/0.81 fof(f668,plain,( 3.30/0.81 spl10_6 | spl10_2 | spl10_3 | spl10_4), 3.30/0.81 inference(avatar_split_clause,[],[f607,f655,f651,f647,f665])). 3.30/0.81 fof(f607,plain,( 3.30/0.81 sP2 | sP0(sK7,sK8) | sP1(sK8,sK7) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK9),v_L)), 3.30/0.81 inference(cnf_transformation,[],[f567])). 3.30/0.81 fof(f658,plain,( 3.30/0.81 ~spl10_1 | spl10_2 | spl10_3 | spl10_4), 3.30/0.81 inference(avatar_split_clause,[],[f609,f655,f651,f647,f643])). 3.30/0.81 fof(f609,plain,( 3.30/0.81 sP2 | sP0(sK7,sK8) | sP1(sK8,sK7) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK9),v_L)), 3.30/0.81 inference(cnf_transformation,[],[f567])). 3.30/0.81 % SZS output end Proof for theBenchmark 3.30/0.81 % (2787)------------------------------ 3.30/0.81 % (2787)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.30/0.81 % (2787)Termination reason: Refutation 3.30/0.81 3.30/0.81 % (2787)Memory used [KB]: 12153 3.30/0.81 % (2787)Time elapsed: 0.390 s 3.30/0.81 % (2787)------------------------------ 3.30/0.81 % (2787)------------------------------ 3.30/0.82 % (2774)Success in time 0.469 s 3.30/0.82 EOF