0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.14 % Command : run_vampire %s %d 0.13/0.34 Computer : n025.cluster.edu 0.13/0.34 Model : x86_64 x86_64 0.13/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 RAMPerCPU : 8042.1875MB 0.13/0.34 OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 06:14:56 EDT 2022 0.13/0.34 % CPUTime : 0.13/0.35 This is a FOF_ problem 0.13/0.35 Running vampire --ignore_missing on --mode casc --cores 0 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.35 Running in auto input_syntax mode. Trying TPTP 0.20/0.42 % (22782)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:thsq=on_24 on theBenchmark 0.20/0.42 % (22790)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:thsq=on_6 on theBenchmark 0.20/0.42 % (22780)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:thsq=on_36 on theBenchmark 0.20/0.42 % (22774)WARNING: value z3 for option sas not known 0.20/0.42 % (22777)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:thsq=on_2 on theBenchmark 0.20/0.42 % (22774)lrs+4_2_av=off:gs=on:gsem=on:lma=on:nm=16:nwc=1:sas=z3:stl=30:sos=on:urr=on:thsq=on_23 on theBenchmark 0.20/0.42 % (22769)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:thsq=on_2 on theBenchmark 0.20/0.43 % (22771)WARNING: value z3 for option sas not known 0.20/0.43 % (22765)WARNING: value z3 for option sas not known 0.20/0.43 % (22764)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:thsq=on_4 on theBenchmark 0.20/0.43 % (22765)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:thsq=on_1 on theBenchmark 0.20/0.43 % (22766)WARNING: value z3 for option sas not known 0.20/0.44 % (22776)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:thsq=on_83 on theBenchmark 0.20/0.44 % (22775)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:thsq=on_6 on theBenchmark 0.20/0.44 % (22766)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:thsq=on_5 on theBenchmark 0.20/0.44 % (22785)lrs+1011_2:3_av=off:gs=on:gsem=off:nwc=1.5:stl=30:sos=theory:sp=occurrence:urr=ec_only:updr=off:thsq=on_223 on theBenchmark 0.20/0.44 % (22772)lrs+1002_1_av=off:fde=unused:lwlo=on:nm=16:nwc=4:stl=30:sp=occurrence:thsq=on_66 on theBenchmark 0.20/0.44 % (22763)WARNING: value z3 for option sas not known 0.20/0.44 % (22763)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:thsq=on_8 on theBenchmark 0.20/0.45 % (22787)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:thsq=on_1 on theBenchmark 0.20/0.45 % (22771)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:thsq=on_23 on theBenchmark 0.20/0.45 % (22770)lrs+1_8:1_av=off:cond=fast:fde=unused:lcm=predicate:nm=16:nwc=10:stl=60:sp=occurrence:urr=ec_only:thsq=on_3 on theBenchmark 0.20/0.45 % (22789)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:thsq=on_11 on theBenchmark 0.20/0.45 % (22786)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:thsq=on_83 on theBenchmark 0.20/0.45 % (22792)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:thsq=on_2 on theBenchmark 0.20/0.46 % (22788)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:thsq=on_91 on theBenchmark 0.20/0.46 % (22768)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:thsq=on_9 on theBenchmark 0.20/0.46 % (22778)WARNING: value z3 for option sas not known 0.20/0.46 % (22778)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:thsq=on_17 on theBenchmark 0.20/0.46 % (22791)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:thsq=on_73 on theBenchmark 0.20/0.46 % (22781)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:thsq=on_88 on theBenchmark 0.20/0.46 % (22767)dis+1002_8:1_av=off:br=off:cond=on:irw=on:lma=on:nm=32:nwc=1:sp=occurrence:urr=on:thsq=on_89 on theBenchmark 0.20/0.47 % (22784)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:thsq=on_75 on theBenchmark 0.20/0.47 % (22766)First to succeed. 0.20/0.47 % (22779)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:thsq=on_9 on theBenchmark 0.20/0.47 % (22773)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:thsq=on_217 on theBenchmark 0.20/0.47 % (22783)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:thsq=on_13 on theBenchmark 0.20/0.48 % (22766)Refutation found. Thanks to Tanya! 0.20/0.48 % SZS status Theorem for theBenchmark 0.20/0.48 % SZS output start Proof for theBenchmark 0.20/0.48 fof(f843,plain,( 0.20/0.48 $false), 0.20/0.48 inference(avatar_sat_refutation,[],[f671,f676,f680,f686,f688,f793,f809,f819,f840])). 0.20/0.48 fof(f840,plain,( 0.20/0.48 ~spl12_5 | ~spl12_6 | ~spl12_9), 0.20/0.48 inference(avatar_contradiction_clause,[],[f839])). 0.20/0.48 fof(f839,plain,( 0.20/0.48 $false | (~spl12_5 | ~spl12_6 | ~spl12_9)), 0.20/0.48 inference(subsumption_resolution,[],[f836,f689])). 0.20/0.48 fof(f689,plain,( 0.20/0.48 ( ! [X0 : $i] : (~c_member(tc_prod(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,X0),v_F(v_P))) ) | ~spl12_5), 0.20/0.48 inference(resolution,[],[f670,f639])). 0.20/0.48 fof(f639,plain,( 0.20/0.48 ( ! [X2 : $i,X0 : $i,X1 : $i] : (~c_Relation_Oirrefl(X1,X0) | ~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0)) )), 0.20/0.48 inference(cnf_transformation,[],[f561])). 0.20/0.48 fof(f561,plain,( 0.20/0.48 ! [X0,X1] : (c_Relation_Oirrefl(X1,X0) <=> ! [X2] : ~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0))), 0.20/0.48 inference(rectify,[],[f408])). 0.20/0.48 fof(f408,axiom,( 0.20/0.48 ! [X4,X3] : (c_Relation_Oirrefl(X3,X4) <=> ! [X12] : ~c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X12,X12),X4))), 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_irrefl__def)). 0.20/0.48 fof(f670,plain,( 0.20/0.48 c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) | ~spl12_5), 0.20/0.48 inference(avatar_component_clause,[],[f668])). 0.20/0.48 fof(f668,plain,( 0.20/0.48 spl12_5 <=> c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))), 0.20/0.48 introduced(avatar_definition,[new_symbols(naming,[spl12_5])])). 0.20/0.48 fof(f836,plain,( 0.20/0.48 c_member(tc_prod(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_b,v_b),v_F(v_P)) | (~spl12_6 | ~spl12_9)), 0.20/0.48 inference(resolution,[],[f808,f699])). 0.20/0.48 fof(f699,plain,( 0.20/0.48 ( ! [X0 : $i] : (~c_member(tc_prod(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_a),v_F(v_P)) | c_member(tc_prod(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_b),v_F(v_P))) ) | ~spl12_6), 0.20/0.48 inference(subsumption_resolution,[],[f697,f675])). 0.20/0.48 fof(f675,plain,( 0.20/0.48 c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) | ~spl12_6), 0.20/0.48 inference(avatar_component_clause,[],[f673])). 0.20/0.48 fof(f673,plain,( 0.20/0.48 spl12_6 <=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))), 0.20/0.48 introduced(avatar_definition,[new_symbols(naming,[spl12_6])])). 0.20/0.48 fof(f697,plain,( 0.20/0.48 ( ! [X0 : $i] : (~c_member(tc_prod(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_a),v_F(v_P)) | c_member(tc_prod(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_b),v_F(v_P)) | ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))) )), 0.20/0.48 inference(resolution,[],[f585,f610])). 0.20/0.48 fof(f610,plain,( 0.20/0.48 ( ! [X4 : $i,X2 : $i,X0 : $i,X3 : $i,X1 : $i] : (~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X0) | ~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X0) | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X0) | ~c_Relation_Otrans(X1,X0)) )), 0.20/0.48 inference(cnf_transformation,[],[f578])). 0.20/0.48 fof(f578,plain,( 0.20/0.48 ! [X0,X1] : (c_Relation_Otrans(X1,X0) <=> ! [X2,X3] : (! [X4] : (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X0) | ~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X0)) | ~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X0)))), 0.20/0.48 inference(ennf_transformation,[],[f542])). 0.20/0.48 fof(f542,plain,( 0.20/0.48 ! [X0,X1] : (c_Relation_Otrans(X1,X0) <=> ! [X2,X3] : (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X0) => ! [X4] : (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X0) => c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X0))))), 0.20/0.48 inference(rectify,[],[f261])). 0.20/0.48 fof(f261,axiom,( 0.20/0.48 ! [X4,X3] : (c_Relation_Otrans(X3,X4) <=> ! [X12,X13] : (c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X12,X13),X4) => ! [X14] : (c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X13,X14),X4) => c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X12,X14),X4))))), 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_trans__def)). 0.20/0.48 fof(f585,plain,( 0.20/0.48 c_member(tc_prod(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_a,v_b),v_F(v_P))), 0.20/0.48 inference(cnf_transformation,[],[f300])). 0.20/0.48 fof(f300,axiom,( 0.20/0.48 c_member(tc_prod(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_a,v_b),v_F(v_P))), 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2)). 0.20/0.48 fof(f808,plain,( 0.20/0.48 c_member(tc_prod(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_b,v_a),v_F(v_P)) | ~spl12_9), 0.20/0.48 inference(avatar_component_clause,[],[f806])). 0.20/0.48 fof(f806,plain,( 0.20/0.48 spl12_9 <=> c_member(tc_prod(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_b,v_a),v_F(v_P))), 0.20/0.48 introduced(avatar_definition,[new_symbols(naming,[spl12_9])])). 0.20/0.48 fof(f819,plain,( 0.20/0.48 ~spl12_5 | ~spl12_7), 0.20/0.48 inference(avatar_contradiction_clause,[],[f818])). 0.20/0.48 fof(f818,plain,( 0.20/0.48 $false | (~spl12_5 | ~spl12_7)), 0.20/0.48 inference(subsumption_resolution,[],[f815,f689])). 0.20/0.48 fof(f815,plain,( 0.20/0.48 c_member(tc_prod(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_a,v_a),v_F(v_P)) | ~spl12_7), 0.20/0.48 inference(backward_demodulation,[],[f585,f781])). 0.20/0.48 fof(f781,plain,( 0.20/0.48 v_a = v_b | ~spl12_7), 0.20/0.48 inference(avatar_component_clause,[],[f779])). 0.20/0.48 fof(f779,plain,( 0.20/0.48 spl12_7 <=> v_a = v_b), 0.20/0.48 introduced(avatar_definition,[new_symbols(naming,[spl12_7])])). 0.20/0.48 fof(f809,plain,( 0.20/0.48 spl12_9 | spl12_7 | ~spl12_8), 0.20/0.48 inference(avatar_split_clause,[],[f802,f783,f779,f806])). 0.20/0.48 fof(f783,plain,( 0.20/0.48 spl12_8 <=> c_member(tc_prod(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_b,v_a),hAPP(v_P,v_i))), 0.20/0.48 introduced(avatar_definition,[new_symbols(naming,[spl12_8])])). 0.20/0.48 fof(f802,plain,( 0.20/0.48 v_a = v_b | c_member(tc_prod(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_b,v_a),v_F(v_P)) | ~spl12_8), 0.20/0.48 inference(resolution,[],[f785,f703])). 0.20/0.48 fof(f703,plain,( 0.20/0.48 ( ! [X0 : $i,X1 : $i] : (~c_member(tc_prod(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),hAPP(v_P,v_i)) | 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_F(v_P))) )), 0.20/0.48 inference(subsumption_resolution,[],[f702,f591])). 0.20/0.48 fof(f591,plain,( 0.20/0.48 ( ! [X0 : $i] : (c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X0))) )), 0.20/0.48 inference(cnf_transformation,[],[f531])). 0.20/0.48 fof(f531,plain,( 0.20/0.48 ! [X0] : (c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X0)) & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)) & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)))), 0.20/0.48 inference(rectify,[],[f324])). 0.20/0.48 fof(f324,axiom,( 0.20/0.48 ! [X12] : (c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X12)) & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X12)) & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X12)))), 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)). 0.20/0.48 fof(f702,plain,( 0.20/0.48 ( ! [X0 : $i,X1 : $i] : (~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK1(v_P))) | 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),hAPP(v_P,v_i)) | c_member(tc_prod(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_F(v_P))) )), 0.20/0.48 inference(subsumption_resolution,[],[f701,f589])). 0.20/0.48 fof(f589,plain,( 0.20/0.48 ( ! [X0 : $i] : (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0))) )), 0.20/0.48 inference(cnf_transformation,[],[f531])). 0.20/0.48 fof(f701,plain,( 0.20/0.48 ( ! [X0 : $i,X1 : $i] : (~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1(v_P))) | ~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK1(v_P))) | 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),hAPP(v_P,v_i)) | c_member(tc_prod(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_F(v_P))) )), 0.20/0.48 inference(resolution,[],[f592,f590])). 0.20/0.48 fof(f590,plain,( 0.20/0.48 ( ! [X0 : $i] : (c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0))) )), 0.20/0.48 inference(cnf_transformation,[],[f531])). 0.20/0.48 fof(f592,plain,( 0.20/0.48 ( ! [X2 : $i,X0 : $i,X3 : $i] : (~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK1(X0))) | ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK1(X0))) | ~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK1(X0))) | X2 = 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,X2,X3),hAPP(X0,v_i)) | c_member(tc_prod(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_F(X0))) )), 0.20/0.48 inference(cnf_transformation,[],[f565])). 0.20/0.48 fof(f565,plain,( 0.20/0.48 ! [X0] : (! [X2,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,X2,X3),v_F(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,X2,X3),hAPP(X0,v_i)) | X2 = X3) | ? [X1] : (~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1)) | ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) | ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))))), 0.20/0.48 inference(flattening,[],[f564])). 0.20/0.48 fof(f564,plain,( 0.20/0.48 ! [X0] : (! [X2,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,X2,X3),v_F(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,X2,X3),hAPP(X0,v_i))) | X2 = X3) | ? [X1] : (~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1)) | ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) | ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))))), 0.20/0.48 inference(ennf_transformation,[],[f532])). 0.20/0.48 fof(f532,plain,( 0.20/0.48 ! [X0] : (! [X1] : (c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1)) & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))) => ! [X2,X3] : (X2 != 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,X2,X3),hAPP(X0,v_i)) => c_member(tc_prod(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_F(X0)))))), 0.20/0.48 inference(rectify,[],[f470])). 0.20/0.48 fof(f470,axiom,( 0.20/0.48 ! [X71] : (! [X12] : (c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X71,X12)) & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X71,X12)) & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X71,X12))) => ! [X25,X26] : (X25 != X26 => (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X25,X26),hAPP(X71,v_i)) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X25,X26),v_F(X71)))))), 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 0.20/0.48 fof(f785,plain,( 0.20/0.48 c_member(tc_prod(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_b,v_a),hAPP(v_P,v_i)) | ~spl12_8), 0.20/0.48 inference(avatar_component_clause,[],[f783])). 0.20/0.48 fof(f793,plain,( 0.20/0.48 spl12_7 | spl12_8), 0.20/0.48 inference(avatar_split_clause,[],[f766,f783,f779])). 0.20/0.48 fof(f766,plain,( 0.20/0.48 c_member(tc_prod(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_b,v_a),hAPP(v_P,v_i)) | v_a = v_b), 0.20/0.48 inference(resolution,[],[f684,f584])). 0.20/0.48 fof(f584,plain,( 0.20/0.48 ~c_member(tc_prod(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_a,v_b),hAPP(v_P,v_i))), 0.20/0.48 inference(cnf_transformation,[],[f529])). 0.20/0.48 fof(f529,plain,( 0.20/0.48 ~c_member(tc_prod(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_a,v_b),hAPP(v_P,v_i))), 0.20/0.48 inference(flattening,[],[f150])). 0.20/0.48 fof(f150,negated_conjecture,( 0.20/0.48 ~c_member(tc_prod(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_a,v_b),hAPP(v_P,v_i))), 0.20/0.48 inference(negated_conjecture,[],[f149])). 0.20/0.48 fof(f149,conjecture,( 0.20/0.48 c_member(tc_prod(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_a,v_b),hAPP(v_P,v_i))), 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4)). 0.20/0.48 fof(f684,plain,( 0.20/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i] : (c_member(tc_prod(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,X1),hAPP(v_P,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,X1,X2),hAPP(v_P,X3)) | X1 = X2) )), 0.20/0.48 inference(subsumption_resolution,[],[f683,f635])). 0.20/0.48 fof(f635,plain,( 0.20/0.48 ( ! [X0 : $i,X1 : $i] : (c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))) )), 0.20/0.48 inference(cnf_transformation,[],[f558])). 0.20/0.48 fof(f558,plain,( 0.20/0.48 ! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))), 0.20/0.48 inference(rectify,[],[f297])). 0.20/0.48 fof(f297,axiom,( 0.20/0.48 ! [X2,X3] : c_member(X3,X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))), 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_UNIV__I)). 0.20/0.48 fof(f683,plain,( 0.20/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i] : (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,X1),hAPP(v_P,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,X1,X2),hAPP(v_P,X3)) | ~c_member(tc_Arrow__Order__Mirabelle_Oalt,X2,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))) )), 0.20/0.48 inference(subsumption_resolution,[],[f682,f635])). 0.20/0.48 fof(f682,plain,( 0.20/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i] : (~c_member(tc_Arrow__Order__Mirabelle_Oalt,X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool))) | 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,X1),hAPP(v_P,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,X1,X2),hAPP(v_P,X3)) | ~c_member(tc_Arrow__Order__Mirabelle_Oalt,X2,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))) )), 0.20/0.48 inference(resolution,[],[f591,f624])). 0.20/0.48 fof(f624,plain,( 0.20/0.48 ( ! [X4 : $i,X2 : $i,X0 : $i,X3 : $i,X1 : $i] : (~c_Relation_Ototal__on(X2,X1,X0) | ~c_member(X2,X4,X1) | X3 = X4 | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0) | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0) | ~c_member(X2,X3,X1)) )), 0.20/0.48 inference(cnf_transformation,[],[f583])). 0.20/0.48 fof(f583,plain,( 0.20/0.48 ! [X0,X1,X2] : (c_Relation_Ototal__on(X2,X1,X0) <=> ! [X3] : (! [X4] : (c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0) | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0) | X3 = X4 | ~c_member(X2,X4,X1)) | ~c_member(X2,X3,X1)))), 0.20/0.48 inference(flattening,[],[f582])). 0.20/0.48 fof(f582,plain,( 0.20/0.48 ! [X0,X1,X2] : (c_Relation_Ototal__on(X2,X1,X0) <=> ! [X3] : (! [X4] : (((c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0) | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)) | X3 = X4) | ~c_member(X2,X4,X1)) | ~c_member(X2,X3,X1)))), 0.20/0.48 inference(ennf_transformation,[],[f549])). 0.20/0.48 fof(f549,plain,( 0.20/0.48 ! [X0,X1,X2] : (c_Relation_Ototal__on(X2,X1,X0) <=> ! [X3] : (c_member(X2,X3,X1) => ! [X4] : (c_member(X2,X4,X1) => (X3 != X4 => (c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0) | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0))))))), 0.20/0.48 inference(rectify,[],[f484])). 0.20/0.48 fof(f484,axiom,( 0.20/0.48 ! [X4,X5,X3] : (c_Relation_Ototal__on(X3,X5,X4) <=> ! [X12] : (c_member(X3,X12,X5) => ! [X67] : (c_member(X3,X67,X5) => (X12 != X67 => (c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X67,X12),X4) | c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X12,X67),X4))))))), 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_total__on__def)). 0.20/0.48 fof(f688,plain,( 0.20/0.48 spl12_4), 0.20/0.48 inference(avatar_contradiction_clause,[],[f687])). 0.20/0.48 fof(f687,plain,( 0.20/0.48 $false | spl12_4), 0.20/0.48 inference(subsumption_resolution,[],[f665,f590])). 0.20/0.48 fof(f665,plain,( 0.20/0.48 ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0)) | spl12_4), 0.20/0.48 inference(avatar_component_clause,[],[f663])). 0.20/0.48 fof(f663,plain,( 0.20/0.48 spl12_4 <=> c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0))), 0.20/0.48 introduced(avatar_definition,[new_symbols(naming,[spl12_4])])). 0.20/0.48 fof(f686,plain,( 0.20/0.48 spl12_3), 0.20/0.48 inference(avatar_contradiction_clause,[],[f685])). 0.20/0.48 fof(f685,plain,( 0.20/0.48 $false | spl12_3), 0.20/0.48 inference(subsumption_resolution,[],[f661,f591])). 0.20/0.48 fof(f661,plain,( 0.20/0.48 ~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK0)) | spl12_3), 0.20/0.48 inference(avatar_component_clause,[],[f659])). 0.20/0.48 fof(f659,plain,( 0.20/0.48 spl12_3 <=> c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK0))), 0.20/0.48 introduced(avatar_definition,[new_symbols(naming,[spl12_3])])). 0.20/0.48 fof(f680,plain,( 0.20/0.48 spl12_2), 0.20/0.48 inference(avatar_contradiction_clause,[],[f679])). 0.20/0.48 fof(f679,plain,( 0.20/0.48 $false | spl12_2), 0.20/0.48 inference(subsumption_resolution,[],[f657,f589])). 0.20/0.48 fof(f657,plain,( 0.20/0.48 ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0)) | spl12_2), 0.20/0.48 inference(avatar_component_clause,[],[f655])). 0.20/0.48 fof(f655,plain,( 0.20/0.48 spl12_2 <=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0))), 0.20/0.48 introduced(avatar_definition,[new_symbols(naming,[spl12_2])])). 0.20/0.48 fof(f676,plain,( 0.20/0.48 spl12_6 | ~spl12_2 | ~spl12_3 | ~spl12_4), 0.20/0.48 inference(avatar_split_clause,[],[f586,f663,f659,f655,f673])). 0.20/0.48 fof(f586,plain,( 0.20/0.48 ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0)) | ~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK0)) | ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0)) | c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))), 0.20/0.48 inference(cnf_transformation,[],[f563])). 0.20/0.48 fof(f563,plain,( 0.20/0.48 (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(v_P))) | ? [X0] : (~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)) | ~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X0)) | ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)))), 0.20/0.48 inference(ennf_transformation,[],[f530])). 0.20/0.48 fof(f530,plain,( 0.20/0.48 ! [X0] : (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)) & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X0)) & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0))) => (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(v_P)))), 0.20/0.48 inference(rectify,[],[f390])). 0.20/0.48 fof(f390,axiom,( 0.20/0.48 ! [X12] : (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X12)) & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X12)) & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X12))) => (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(v_P)))), 0.20/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3)). 0.20/0.48 fof(f671,plain,( 0.20/0.48 spl12_5 | ~spl12_2 | ~spl12_3 | ~spl12_4), 0.20/0.48 inference(avatar_split_clause,[],[f587,f663,f659,f655,f668])). 0.20/0.48 fof(f587,plain,( 0.20/0.48 ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0)) | ~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK0)) | ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0)) | c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))), 0.20/0.48 inference(cnf_transformation,[],[f563])). 0.20/0.48 % SZS output end Proof for theBenchmark 0.20/0.48 % (22766)------------------------------ 0.20/0.48 % (22766)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.20/0.48 % (22766)Termination reason: Refutation 0.20/0.48 0.20/0.48 % (22766)Memory used [KB]: 11769 0.20/0.48 % (22766)Time elapsed: 0.056 s 0.20/0.48 % (22766)------------------------------ 0.20/0.48 % (22766)------------------------------ 0.20/0.48 % (22762)Success in time 0.12 s 0.26/0.48 EOF