0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_vampire %s %d 0.08/0.29 % Computer : n016.cluster.edu 0.08/0.29 % Model : x86_64 x86_64 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.29 % Memory : 8042.1875MB 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.29 % CPULimit : 960 0.08/0.29 % WCLimit : 120 0.08/0.29 % DateTime : Thu Jul 2 09:01:20 EDT 2020 0.08/0.29 % CPUTime : 0.13/0.45 % (15084)lrs+1_2:3_aac=none:afr=on:afp=100000:afq=1.0:amm=sco:bd=off:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=on:sac=on:sp=occurrence:urr=ec_only:updr=off:uhcvi=on_16 on theBenchmark 0.13/0.45 % (15082)dis+1011_10_aac=none:add=large:afp=10000:afq=1.1:amm=off:anc=none:fsr=off:gs=on:gsem=off:irw=on:nm=6:newcnf=on:nwc=2.5:sp=reverse_arity:updr=off_2 on theBenchmark 0.13/0.46 % (15098)dis+11_28_av=off:fsr=off:irw=on:lcm=predicate:nm=2:newcnf=on:nwc=5:sp=occurrence:urr=on:updr=off_2 on theBenchmark 0.13/0.46 % (15078)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_2 on theBenchmark 0.13/0.46 % (15086)dis+11_4_afr=on:afp=1000:afq=1.4:amm=off:anc=none:lcm=reverse:lma=on:lwlo=on:nm=6:newcnf=on:nwc=1:sd=2:ss=axioms:st=2.0:sp=reverse_arity_2 on theBenchmark 0.13/0.46 % (15092)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_4 on theBenchmark 0.13/0.47 % (15100)dis-10_1_aac=none:afr=on:afp=10000:afq=1.0:amm=off:anc=none:fsr=off:gs=on:gsem=off:irw=on:nm=4:newcnf=on:nwc=2:sp=occurrence_2 on theBenchmark 0.13/0.47 % (15102)dis+11_5_av=off:bd=off:bs=unit_only:bsr=on:cond=on:lcm=reverse:nm=0:nwc=1.2_5 on theBenchmark 0.13/0.47 % (15101)lrs+1011_4:1_av=off:fsr=off:irw=on:nwc=1:stl=30:sd=4:ss=axioms:st=1.5:sp=reverse_arity_12 on theBenchmark 0.13/0.47 % (15093)dis+11_3:1_add=off:afr=on:afp=100000:afq=1.2:amm=off:anc=none:bd=off:bs=unit_only:irw=on:lcm=predicate:lma=on:nm=2:nwc=1:sd=2:ss=axioms:sos=all:sp=occurrence:updr=off_1 on theBenchmark 0.13/0.47 % (15090)lrs+2_1_add=large:afp=100000:afq=1.0:amm=off:anc=none:bd=off:bs=unit_only:bsr=on:gsp=input_only:lma=on:lwlo=on:newcnf=on:nwc=1:stl=30:sos=theory:sp=reverse_arity:updr=off_14 on theBenchmark 0.13/0.48 % (15078)Refutation not found, incomplete strategy% (15078)------------------------------ 0.13/0.48 % (15078)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.13/0.48 % (15078)Termination reason: Refutation not found, incomplete strategy 0.13/0.48 0.13/0.48 % (15078)Memory used [KB]: 11001 0.13/0.48 % (15078)Time elapsed: 0.106 s 0.13/0.48 % (15078)------------------------------ 0.13/0.48 % (15078)------------------------------ 0.13/0.48 % (15085)dis+1011_24_add=large:afr=on:afp=4000:afq=1.0:anc=none:bs=unit_only:bce=on:cond=fast:gs=on:nm=32:nwc=2.5:nicw=on:sp=occurrence:updr=off_4 on theBenchmark 0.13/0.48 % (15093)Refutation not found, incomplete strategy% (15093)------------------------------ 0.13/0.48 % (15093)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.13/0.48 % (15093)Termination reason: Refutation not found, incomplete strategy 0.13/0.48 0.13/0.48 % (15093)Memory used [KB]: 6268 0.13/0.48 % (15093)Time elapsed: 0.108 s 0.13/0.48 % (15093)------------------------------ 0.13/0.48 % (15093)------------------------------ 0.13/0.48 % (15094)lrs+1002_3_aac=none:acc=on:add=off:afp=4000:afq=1.1:amm=sco:anc=none:cond=on:fsr=off:gs=on:irw=on:nm=32:newcnf=on:nwc=1.1:nicw=on:stl=30:sd=2:ss=axioms:st=5.0:sos=on:sp=occurrence:updr=off_24 on theBenchmark 0.13/0.49 % (15081)lrs+1011_3:1_add=off:afr=on:afp=10000:afq=1.1:amm=off:bce=on:cond=on:ep=R:fsr=off:nm=16:nwc=1:stl=30:sos=all:sp=reverse_arity:updr=off_2 on theBenchmark 0.13/0.49 % (15083)ott+1002_2_av=off:bd=preordered:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_22 on theBenchmark 0.13/0.49 % (15087)dis-3_5_av=off:cond=on:gs=on:gsem=off:lcm=predicate:nm=0:nwc=1:sos=on:sp=reverse_arity_3 on theBenchmark 0.13/0.49 % (15077)ott+11_2:1_add=large:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_3 on theBenchmark 0.13/0.49 % (15088)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_5 on theBenchmark 0.13/0.51 % (15106)ott+11_8_amm=off:anc=none:bsr=on:cond=on:irw=on:nm=2:nwc=1.1:ss=axioms:st=2.0:sac=on_1 on theBenchmark 0.13/0.51 % (15079)ott+1010_5:4_av=off:bd=off:fde=none:irw=on:lma=on:nm=32:nwc=2.5:sd=2:ss=axioms:st=3.0:urr=on_5 on theBenchmark 0.13/0.51 % (15099)dis+1011_5:4_acc=model:afr=on:afp=10000:afq=1.4:amm=off:anc=none:bd=off:ccuc=small_ones:cond=fast:fde=unused:gs=on:nm=2:newcnf=on:nwc=1:nicw=on:sos=on:sac=on:sp=occurrence:updr=off_72 on theBenchmark 0.13/0.51 % (15080)lrs+4_2_av=off:gs=on:gsem=on:lma=on:nm=16:nwc=1:sas=z3:stl=30:sos=on:urr=on_3 on theBenchmark 0.13/0.52 % (15089)lrs+1003_2_acc=on:afp=4000:afq=2.0:amm=sco:bd=off:ccuc=small_ones:fsr=off:fde=unused:gsp=input_only:nm=64:newcnf=on:nwc=2.5:nicw=on:stl=30:urr=ec_only_8 on theBenchmark 0.13/0.52 % (15104)dis+1003_64_add=off:afr=on:afp=100000:afq=1.1:anc=none:cond=fast:fde=none:irw=on:nm=6:newcnf=on:nwc=1.3:uhcvi=on_5 on theBenchmark 0.13/0.52 % (15097)ott+1004_12_awrs=converge:awrsf=64:aac=none:afr=on:afp=4000:afq=1.4:amm=sco:anc=none:bs=on:cond=fast:fsr=off:gs=on:gsaa=full_model:gsem=on:lma=on:nwc=5:nicw=on:sas=z3:sos=all:sac=on:sp=occurrence:urr=ec_only_2 on theBenchmark 0.13/0.53 % (15091)ott+1_8_av=off:bd=off:bs=on:cond=on:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:lwlo=on:nwc=1:sos=on_10 on theBenchmark 0.13/0.53 % (15105)lrs+10_6_aac=none:acc=model:add=large:afr=on:afp=10000:afq=1.2:amm=off:anc=none:bd=off:ccuc=small_ones:irw=on:lcm=reverse:nm=0:nwc=1:nicw=on:stl=30:sos=on:sp=reverse_arity:updr=off_2 on theBenchmark 0.13/0.53 % (15103)ott+1002_128_av=off:bd=off:bs=on:bsr=on:cond=on:fsr=off:nm=6:newcnf=on:nwc=1:sp=reverse_arity:updr=off_9 on theBenchmark 0.13/0.53 % (15095)dis+1010_4_afp=10000:afq=1.2:anc=none:irw=on:lma=on:nm=64:nwc=10:sas=z3:sac=on:sp=reverse_arity:updr=off_2 on theBenchmark 0.13/0.54 % (15096)lrs+1011_2:3_av=off:gs=on:gsem=off:nwc=1.5:stl=30:sos=theory:sp=occurrence:urr=ec_only:updr=off_36 on theBenchmark 0.13/0.54 % (15099)Refutation not found, incomplete strategy% (15099)------------------------------ 0.13/0.54 % (15099)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.13/0.56 % (15099)Termination reason: Refutation not found, incomplete strategy 0.13/0.56 0.13/0.56 % (15099)Memory used [KB]: 11001 0.13/0.56 % (15099)Time elapsed: 0.168 s 0.13/0.56 % (15099)------------------------------ 0.13/0.56 % (15099)------------------------------ 2.53/0.67 % (15108)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_4 on theBenchmark 3.06/0.73 % (15109)lrs+10_1_afr=on:afp=100000:afq=1.2:amm=sco:anc=none:br=off:cond=on:gs=on:gsem=on:irw=on:nm=16:nwc=1:stl=30:sac=on:sp=occurrence:urr=on:updr=off_12 on theBenchmark 3.06/0.73 % (15084)Refutation found. Thanks to Tanya! 3.06/0.73 % SZS status Theorem for theBenchmark 3.06/0.73 % SZS output start Proof for theBenchmark 3.06/0.73 fof(f2336,plain,( 3.06/0.73 $false), 3.06/0.73 inference(avatar_sat_refutation,[],[f587,f796,f870,f1065,f1200,f1223,f1514,f1557,f1565,f1634,f1680,f1765,f2324])). 3.06/0.73 fof(f2324,plain,( 3.06/0.73 ~spl91_2 | ~spl91_4 | ~spl91_13), 3.06/0.73 inference(avatar_contradiction_clause,[],[f2323])). 3.06/0.73 fof(f2323,plain,( 3.06/0.73 $false | (~spl91_2 | ~spl91_4 | ~spl91_13)), 3.06/0.73 inference(subsumption_resolution,[],[f2312,f303])). 3.06/0.73 fof(f303,plain,( 3.06/0.73 ( ! [X1] : (vreduce(vapp(ve1,ve2)) != vsomeExp(X1)) )), 3.06/0.73 inference(cnf_transformation,[],[f225])). 3.06/0.73 fof(f225,plain,( 3.06/0.73 ! [X1] : vreduce(vapp(ve1,ve2)) != vsomeExp(X1) & ~visValue(vapp(ve1,ve2)) & vtcheck(vempty,vapp(ve1,ve2),sK14)), 3.06/0.73 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f120,f224])). 3.06/0.73 fof(f224,plain,( 3.06/0.73 ? [X0] : (! [X1] : vreduce(vapp(ve1,ve2)) != vsomeExp(X1) & ~visValue(vapp(ve1,ve2)) & vtcheck(vempty,vapp(ve1,ve2),X0)) => (! [X1] : vreduce(vapp(ve1,ve2)) != vsomeExp(X1) & ~visValue(vapp(ve1,ve2)) & vtcheck(vempty,vapp(ve1,ve2),sK14))), 3.06/0.73 introduced(choice_axiom,[])). 3.06/0.73 fof(f120,plain,( 3.06/0.73 ? [X0] : (! [X1] : vreduce(vapp(ve1,ve2)) != vsomeExp(X1) & ~visValue(vapp(ve1,ve2)) & vtcheck(vempty,vapp(ve1,ve2),X0))), 3.06/0.73 inference(flattening,[],[f119])). 3.06/0.73 fof(f119,plain,( 3.06/0.73 ? [X0] : (! [X1] : vreduce(vapp(ve1,ve2)) != vsomeExp(X1) & (~visValue(vapp(ve1,ve2)) & vtcheck(vempty,vapp(ve1,ve2),X0)))), 3.06/0.73 inference(ennf_transformation,[],[f61])). 3.06/0.73 fof(f61,plain,( 3.06/0.73 ~! [X0] : ((~visValue(vapp(ve1,ve2)) & vtcheck(vempty,vapp(ve1,ve2),X0)) => ? [X1] : vreduce(vapp(ve1,ve2)) = vsomeExp(X1))), 3.06/0.73 inference(rectify,[],[f59])). 3.06/0.73 fof(f59,negated_conjecture,( 3.06/0.73 ~! [X17] : ((~visValue(vapp(ve1,ve2)) & vtcheck(vempty,vapp(ve1,ve2),X17)) => ? [X34] : vsomeExp(X34) = vreduce(vapp(ve1,ve2)))), 3.06/0.73 inference(negated_conjecture,[],[f58])). 3.06/0.73 fof(f58,conjecture,( 3.06/0.73 ! [X17] : ((~visValue(vapp(ve1,ve2)) & vtcheck(vempty,vapp(ve1,ve2),X17)) => ? [X34] : vsomeExp(X34) = vreduce(vapp(ve1,ve2)))), 3.06/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Progress-T-app')). 3.06/0.73 fof(f2312,plain,( 3.06/0.73 vreduce(vapp(ve1,ve2)) = vsomeExp(vapp(ve1,sK16)) | (~spl91_2 | ~spl91_4 | ~spl91_13)), 3.06/0.73 inference(superposition,[],[f1752,f1644])). 3.06/0.73 fof(f1644,plain,( 3.06/0.73 ve1 = vabs(sK45(vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14),ve1),sK47(vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14),ve1),sK46(vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14),ve1)) | (~spl91_2 | ~spl91_13)), 3.06/0.73 inference(resolution,[],[f1642,f359])). 3.06/0.73 fof(f359,plain,( 3.06/0.73 ( ! [X2,X0,X1] : (~sP5(X0,X1,X2) | vabs(sK45(X0,X1,X2),sK47(X0,X1,X2),sK46(X0,X1,X2)) = X2) )), 3.06/0.73 inference(cnf_transformation,[],[f261])). 3.06/0.73 fof(f261,plain,( 3.06/0.73 ! [X0,X1,X2] : ((vtcheck(vbind(sK45(X0,X1,X2),sK47(X0,X1,X2),X0),sK46(X0,X1,X2),sK48(X0,X1,X2)) & varrow(sK47(X0,X1,X2),sK48(X0,X1,X2)) = X1 & vabs(sK45(X0,X1,X2),sK47(X0,X1,X2),sK46(X0,X1,X2)) = X2) | ~sP5(X0,X1,X2))), 3.06/0.73 inference(skolemisation,[status(esa),new_symbols(skolem,[sK45,sK46,sK47,sK48])],[f259,f260])). 3.06/0.73 fof(f260,plain,( 3.06/0.73 ! [X2,X1,X0] : (? [X3,X4,X5,X6] : (vtcheck(vbind(X3,X5,X0),X4,X6) & varrow(X5,X6) = X1 & vabs(X3,X5,X4) = X2) => (vtcheck(vbind(sK45(X0,X1,X2),sK47(X0,X1,X2),X0),sK46(X0,X1,X2),sK48(X0,X1,X2)) & varrow(sK47(X0,X1,X2),sK48(X0,X1,X2)) = X1 & vabs(sK45(X0,X1,X2),sK47(X0,X1,X2),sK46(X0,X1,X2)) = X2))), 3.06/0.73 introduced(choice_axiom,[])). 3.06/0.73 fof(f259,plain,( 3.06/0.73 ! [X0,X1,X2] : (? [X3,X4,X5,X6] : (vtcheck(vbind(X3,X5,X0),X4,X6) & varrow(X5,X6) = X1 & vabs(X3,X5,X4) = X2) | ~sP5(X0,X1,X2))), 3.06/0.73 inference(rectify,[],[f258])). 3.06/0.73 fof(f258,plain,( 3.06/0.73 ! [X2,X1,X0] : (? [X7,X8,X9,X10] : (vtcheck(vbind(X7,X9,X2),X8,X10) & varrow(X9,X10) = X1 & vabs(X7,X9,X8) = X0) | ~sP5(X2,X1,X0))), 3.06/0.73 inference(nnf_transformation,[],[f212])). 3.06/0.73 fof(f212,plain,( 3.06/0.73 ! [X2,X1,X0] : (? [X7,X8,X9,X10] : (vtcheck(vbind(X7,X9,X2),X8,X10) & varrow(X9,X10) = X1 & vabs(X7,X9,X8) = X0) | ~sP5(X2,X1,X0))), 3.06/0.73 introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])])). 3.06/0.73 fof(f1642,plain,( 3.06/0.73 sP5(vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14),ve1) | (~spl91_2 | ~spl91_13)), 3.06/0.73 inference(forward_demodulation,[],[f1061,f905])). 3.06/0.73 fof(f905,plain,( 3.06/0.73 ve1 = sK42(vapp(ve1,ve2),vempty,sK14) | ~spl91_2), 3.06/0.73 inference(equality_resolution,[],[f892])). 3.06/0.73 fof(f892,plain,( 3.06/0.73 ( ! [X6,X5] : (vapp(ve1,ve2) != vapp(X5,X6) | sK42(vapp(ve1,ve2),vempty,sK14) = X5) ) | ~spl91_2), 3.06/0.73 inference(superposition,[],[f383,f873])). 3.06/0.73 fof(f873,plain,( 3.06/0.73 vapp(ve1,ve2) = vapp(sK42(vapp(ve1,ve2),vempty,sK14),sK43(vapp(ve1,ve2),vempty,sK14)) | ~spl91_2), 3.06/0.73 inference(resolution,[],[f586,f358])). 3.06/0.73 fof(f358,plain,( 3.06/0.73 ( ! [X2,X0,X1] : (~sP6(X0,X1,X2) | vapp(sK42(X0,X1,X2),sK43(X0,X1,X2)) = X0) )), 3.06/0.73 inference(cnf_transformation,[],[f257])). 3.06/0.73 fof(f257,plain,( 3.06/0.73 ! [X0,X1,X2] : ((vapp(sK42(X0,X1,X2),sK43(X0,X1,X2)) = X0 & vtcheck(X1,sK43(X0,X1,X2),sK44(X0,X1,X2)) & vtcheck(X1,sK42(X0,X1,X2),varrow(sK44(X0,X1,X2),X2))) | ~sP6(X0,X1,X2))), 3.06/0.73 inference(skolemisation,[status(esa),new_symbols(skolem,[sK42,sK43,sK44])],[f255,f256])). 3.06/0.73 fof(f256,plain,( 3.06/0.73 ! [X2,X1,X0] : (? [X3,X4,X5] : (vapp(X3,X4) = X0 & vtcheck(X1,X4,X5) & vtcheck(X1,X3,varrow(X5,X2))) => (vapp(sK42(X0,X1,X2),sK43(X0,X1,X2)) = X0 & vtcheck(X1,sK43(X0,X1,X2),sK44(X0,X1,X2)) & vtcheck(X1,sK42(X0,X1,X2),varrow(sK44(X0,X1,X2),X2))))), 3.06/0.73 introduced(choice_axiom,[])). 3.06/0.73 fof(f255,plain,( 3.06/0.73 ! [X0,X1,X2] : (? [X3,X4,X5] : (vapp(X3,X4) = X0 & vtcheck(X1,X4,X5) & vtcheck(X1,X3,varrow(X5,X2))) | ~sP6(X0,X1,X2))), 3.06/0.73 inference(rectify,[],[f254])). 3.06/0.73 fof(f254,plain,( 3.06/0.73 ! [X0,X2,X1] : (? [X4,X5,X6] : (vapp(X4,X5) = X0 & vtcheck(X2,X5,X6) & vtcheck(X2,X4,varrow(X6,X1))) | ~sP6(X0,X2,X1))), 3.06/0.73 inference(nnf_transformation,[],[f213])). 3.06/0.73 fof(f213,plain,( 3.06/0.73 ! [X0,X2,X1] : (? [X4,X5,X6] : (vapp(X4,X5) = X0 & vtcheck(X2,X5,X6) & vtcheck(X2,X4,varrow(X6,X1))) | ~sP6(X0,X2,X1))), 3.06/0.73 introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])])). 3.06/0.73 fof(f586,plain,( 3.06/0.73 sP6(vapp(ve1,ve2),vempty,sK14) | ~spl91_2), 3.06/0.73 inference(avatar_component_clause,[],[f585])). 3.06/0.73 fof(f585,plain,( 3.06/0.73 spl91_2 <=> sP6(vapp(ve1,ve2),vempty,sK14)), 3.06/0.73 introduced(avatar_definition,[new_symbols(naming,[spl91_2])])). 3.06/0.73 fof(f383,plain,( 3.06/0.73 ( ! [X2,X0,X3,X1] : (vapp(X0,X1) != vapp(X2,X3) | X0 = X2) )), 3.06/0.73 inference(cnf_transformation,[],[f151])). 3.06/0.73 fof(f151,plain,( 3.06/0.73 ! [X0,X1,X2,X3] : (((X0 = X2 & X1 = X3) | vapp(X0,X1) != vapp(X2,X3)) & (vapp(X0,X1) = vapp(X2,X3) | X0 != X2 | X1 != X3))), 3.06/0.73 inference(flattening,[],[f150])). 3.06/0.73 fof(f150,plain,( 3.06/0.73 ! [X0,X1,X2,X3] : (((X0 = X2 & X1 = X3) | vapp(X0,X1) != vapp(X2,X3)) & (vapp(X0,X1) = vapp(X2,X3) | (X0 != X2 | X1 != X3)))), 3.06/0.73 inference(ennf_transformation,[],[f90])). 3.06/0.73 fof(f90,plain,( 3.06/0.73 ! [X0,X1,X2,X3] : ((vapp(X0,X1) = vapp(X2,X3) => (X0 = X2 & X1 = X3)) & ((X0 = X2 & X1 = X3) => vapp(X0,X1) = vapp(X2,X3)))), 3.06/0.73 inference(rectify,[],[f35])). 3.06/0.73 fof(f35,axiom,( 3.06/0.73 ! [X6,X15,X31,X32] : ((vapp(X6,X15) = vapp(X31,X32) => (X6 = X31 & X15 = X32)) & ((X6 = X31 & X15 = X32) => vapp(X6,X15) = vapp(X31,X32)))), 3.06/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','EQ-app')). 3.06/0.73 fof(f1061,plain,( 3.06/0.73 sP5(vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14),sK42(vapp(ve1,ve2),vempty,sK14)) | ~spl91_13), 3.06/0.73 inference(avatar_component_clause,[],[f1060])). 3.06/0.73 fof(f1060,plain,( 3.06/0.73 spl91_13 <=> sP5(vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14),sK42(vapp(ve1,ve2),vempty,sK14))), 3.06/0.73 introduced(avatar_definition,[new_symbols(naming,[spl91_13])])). 3.06/0.73 fof(f1752,plain,( 3.06/0.73 ( ! [X6,X7,X5] : (vreduce(vapp(vabs(X5,X6,X7),ve2)) = vsomeExp(vapp(vabs(X5,X6,X7),sK16))) ) | ~spl91_4), 3.06/0.73 inference(forward_demodulation,[],[f1751,f471])). 3.06/0.73 fof(f471,plain,( 3.06/0.73 ( ! [X2] : (vgetSomeExp(vsomeExp(X2)) = X2) )), 3.06/0.73 inference(equality_resolution,[],[f470])). 3.06/0.73 fof(f470,plain,( 3.06/0.73 ( ! [X2,X0] : (vgetSomeExp(X0) = X2 | vsomeExp(X2) != X0) )), 3.06/0.73 inference(equality_resolution,[],[f354])). 3.06/0.73 fof(f354,plain,( 3.06/0.73 ( ! [X2,X0,X1] : (X1 = X2 | vgetSomeExp(X0) != X1 | vsomeExp(X2) != X0) )), 3.06/0.73 inference(cnf_transformation,[],[f139])). 3.06/0.73 fof(f139,plain,( 3.06/0.73 ! [X0,X1,X2] : (X1 = X2 | vgetSomeExp(X0) != X1 | vsomeExp(X2) != X0)), 3.06/0.73 inference(flattening,[],[f138])). 3.06/0.73 fof(f138,plain,( 3.06/0.73 ! [X0,X1,X2] : ((X1 = X2 | vgetSomeExp(X0) != X1) | vsomeExp(X2) != X0)), 3.06/0.73 inference(ennf_transformation,[],[f82])). 3.06/0.73 fof(f82,plain,( 3.06/0.73 ! [X0,X1,X2] : (vsomeExp(X2) = X0 => (vgetSomeExp(X0) = X1 => X1 = X2))), 3.06/0.73 inference(rectify,[],[f2])). 3.06/0.73 fof(f2,axiom,( 3.06/0.73 ! [X4,X3,X5] : (vsomeExp(X5) = X4 => (vgetSomeExp(X4) = X3 => X3 = X5))), 3.06/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',getSomeExp0)). 3.06/0.73 fof(f1751,plain,( 3.06/0.73 ( ! [X6,X7,X5] : (vreduce(vapp(vabs(X5,X6,X7),ve2)) = vsomeExp(vapp(vabs(X5,X6,X7),vgetSomeExp(vsomeExp(sK16))))) ) | ~spl91_4), 3.06/0.73 inference(subsumption_resolution,[],[f1745,f462])). 3.06/0.73 fof(f462,plain,( 3.06/0.73 ( ! [X0] : (visSomeExp(vsomeExp(X0))) )), 3.06/0.73 inference(equality_resolution,[],[f321])). 3.06/0.73 fof(f321,plain,( 3.06/0.73 ( ! [X0,X1] : (visSomeExp(X1) | vsomeExp(X0) != X1) )), 3.06/0.73 inference(cnf_transformation,[],[f132])). 3.06/0.73 fof(f132,plain,( 3.06/0.73 ! [X0,X1] : (visSomeExp(X1) | vsomeExp(X0) != X1)), 3.06/0.73 inference(ennf_transformation,[],[f76])). 3.06/0.73 fof(f76,plain,( 3.06/0.73 ! [X0,X1] : (vsomeExp(X0) = X1 => visSomeExp(X1))), 3.06/0.73 inference(rectify,[],[f6])). 3.06/0.73 fof(f6,axiom,( 3.06/0.73 ! [X5,X4] : (vsomeExp(X5) = X4 => visSomeExp(X4))), 3.06/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isSomeExp1)). 3.06/0.73 fof(f1745,plain,( 3.06/0.73 ( ! [X6,X7,X5] : (~visSomeExp(vsomeExp(sK16)) | vreduce(vapp(vabs(X5,X6,X7),ve2)) = vsomeExp(vapp(vabs(X5,X6,X7),vgetSomeExp(vsomeExp(sK16))))) ) | ~spl91_4), 3.06/0.73 inference(superposition,[],[f530,f657])). 3.06/0.73 fof(f657,plain,( 3.06/0.73 vreduce(ve2) = vsomeExp(sK16) | ~spl91_4), 3.06/0.73 inference(avatar_component_clause,[],[f656])). 3.06/0.73 fof(f656,plain,( 3.06/0.73 spl91_4 <=> vreduce(ve2) = vsomeExp(sK16)), 3.06/0.73 introduced(avatar_definition,[new_symbols(naming,[spl91_4])])). 3.06/0.73 fof(f530,plain,( 3.06/0.73 ( ! [X4,X0,X5,X3] : (~visSomeExp(vreduce(X0)) | vsomeExp(vapp(vabs(X3,X4,X5),vgetSomeExp(vreduce(X0)))) = vreduce(vapp(vabs(X3,X4,X5),X0))) )), 3.06/0.73 inference(equality_resolution,[],[f529])). 3.06/0.73 fof(f529,plain,( 3.06/0.73 ( ! [X4,X0,X5,X3,X1] : (vreduce(X1) = vsomeExp(vapp(vabs(X3,X4,X5),vgetSomeExp(vreduce(X0)))) | ~visSomeExp(vreduce(X0)) | vapp(vabs(X3,X4,X5),X0) != X1) )), 3.06/0.73 inference(equality_resolution,[],[f528])). 3.06/0.73 fof(f528,plain,( 3.06/0.73 ( ! [X6,X4,X0,X5,X3,X1] : (vreduce(X1) = vsomeExp(vapp(vabs(X3,X4,X5),vgetSomeExp(X6))) | ~visSomeExp(X6) | vreduce(X0) != X6 | vapp(vabs(X3,X4,X5),X0) != X1) )), 3.06/0.73 inference(equality_resolution,[],[f444])). 3.06/0.73 fof(f444,plain,( 3.06/0.73 ( ! [X6,X4,X2,X0,X5,X3,X1] : (vsomeExp(vapp(vabs(X3,X4,X5),vgetSomeExp(X6))) = X2 | vreduce(X1) != X2 | ~visSomeExp(X6) | vreduce(X0) != X6 | vapp(vabs(X3,X4,X5),X0) != X1) )), 3.06/0.73 inference(cnf_transformation,[],[f185])). 3.06/0.73 fof(f185,plain,( 3.06/0.73 ! [X0,X1,X2,X3,X4,X5,X6] : (vsomeExp(vapp(vabs(X3,X4,X5),vgetSomeExp(X6))) = X2 | vreduce(X1) != X2 | ~visSomeExp(X6) | vreduce(X0) != X6 | vapp(vabs(X3,X4,X5),X0) != X1)), 3.06/0.73 inference(flattening,[],[f184])). 3.06/0.73 fof(f184,plain,( 3.06/0.73 ! [X0,X1,X2,X3,X4,X5,X6] : (((vsomeExp(vapp(vabs(X3,X4,X5),vgetSomeExp(X6))) = X2 | vreduce(X1) != X2) | (~visSomeExp(X6) | vreduce(X0) != X6)) | vapp(vabs(X3,X4,X5),X0) != X1)), 3.06/0.73 inference(ennf_transformation,[],[f108])). 3.06/0.73 fof(f108,plain,( 3.06/0.73 ! [X0,X1,X2,X3,X4,X5,X6] : (vapp(vabs(X3,X4,X5),X0) = X1 => ((visSomeExp(X6) & vreduce(X0) = X6) => (vreduce(X1) = X2 => vsomeExp(vapp(vabs(X3,X4,X5),vgetSomeExp(X6))) = X2)))), 3.06/0.73 inference(rectify,[],[f46])). 3.06/0.73 fof(f46,axiom,( 3.06/0.73 ! [X9,X6,X3,X0,X13,X7,X14] : (vapp(vabs(X0,X13,X7),X9) = X6 => ((visSomeExp(X14) & vreduce(X9) = X14) => (vreduce(X6) = X3 => vsomeExp(vapp(vabs(X0,X13,X7),vgetSomeExp(X14))) = X3)))), 3.06/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduce2)). 3.06/0.73 fof(f1765,plain,( 3.06/0.73 spl91_3 | spl91_4 | ~spl91_2), 3.06/0.73 inference(avatar_split_clause,[],[f927,f585,f656,f653])). 3.06/0.73 fof(f653,plain,( 3.06/0.73 spl91_3 <=> visValue(ve2)), 3.06/0.73 introduced(avatar_definition,[new_symbols(naming,[spl91_3])])). 3.06/0.73 fof(f927,plain,( 3.06/0.73 vreduce(ve2) = vsomeExp(sK16) | visValue(ve2) | ~spl91_2), 3.06/0.73 inference(resolution,[],[f902,f312])). 3.06/0.73 fof(f312,plain,( 3.06/0.73 ( ! [X0] : (~vtcheck(vempty,ve2,X0) | vreduce(ve2) = vsomeExp(sK16) | visValue(ve2)) )), 3.06/0.73 inference(cnf_transformation,[],[f229])). 3.06/0.73 fof(f229,plain,( 3.06/0.73 ! [X0] : (vreduce(ve2) = vsomeExp(sK16) | ~vtcheck(vempty,ve2,X0) | visValue(ve2))), 3.06/0.73 inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f126,f228])). 3.06/0.73 fof(f228,plain,( 3.06/0.73 ? [X1] : vreduce(ve2) = vsomeExp(X1) => vreduce(ve2) = vsomeExp(sK16)), 3.06/0.73 introduced(choice_axiom,[])). 3.06/0.73 fof(f126,plain,( 3.06/0.73 ! [X0] : (? [X1] : vreduce(ve2) = vsomeExp(X1) | ~vtcheck(vempty,ve2,X0) | visValue(ve2))), 3.06/0.73 inference(flattening,[],[f125])). 3.06/0.73 fof(f125,plain,( 3.06/0.73 ! [X0] : (? [X1] : vreduce(ve2) = vsomeExp(X1) | (~vtcheck(vempty,ve2,X0) | visValue(ve2)))), 3.06/0.73 inference(ennf_transformation,[],[f70])). 3.06/0.73 fof(f70,plain,( 3.06/0.73 ! [X0] : ((vtcheck(vempty,ve2,X0) & ~visValue(ve2)) => ? [X1] : vreduce(ve2) = vsomeExp(X1))), 3.06/0.73 inference(rectify,[],[f57])). 3.06/0.73 fof(f57,axiom,( 3.06/0.73 ! [X17] : ((vtcheck(vempty,ve2,X17) & ~visValue(ve2)) => ? [X34] : vsomeExp(X34) = vreduce(ve2))), 3.06/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Progress-T-app-IH2')). 3.06/0.73 fof(f902,plain,( 3.06/0.73 vtcheck(vempty,ve2,sK44(vapp(ve1,ve2),vempty,sK14)) | ~spl91_2), 3.06/0.73 inference(superposition,[],[f872,f899])). 3.06/0.73 fof(f899,plain,( 3.06/0.73 ve2 = sK43(vapp(ve1,ve2),vempty,sK14) | ~spl91_2), 3.06/0.73 inference(equality_resolution,[],[f890])). 3.06/0.73 fof(f890,plain,( 3.06/0.73 ( ! [X2,X1] : (vapp(ve1,ve2) != vapp(X1,X2) | sK43(vapp(ve1,ve2),vempty,sK14) = X2) ) | ~spl91_2), 3.06/0.73 inference(superposition,[],[f382,f873])). 3.06/0.73 fof(f382,plain,( 3.06/0.73 ( ! [X2,X0,X3,X1] : (vapp(X0,X1) != vapp(X2,X3) | X1 = X3) )), 3.06/0.73 inference(cnf_transformation,[],[f151])). 3.06/0.73 fof(f872,plain,( 3.06/0.73 vtcheck(vempty,sK43(vapp(ve1,ve2),vempty,sK14),sK44(vapp(ve1,ve2),vempty,sK14)) | ~spl91_2), 3.06/0.73 inference(resolution,[],[f586,f357])). 3.06/0.73 fof(f357,plain,( 3.06/0.73 ( ! [X2,X0,X1] : (~sP6(X0,X1,X2) | vtcheck(X1,sK43(X0,X1,X2),sK44(X0,X1,X2))) )), 3.06/0.73 inference(cnf_transformation,[],[f257])). 3.06/0.73 fof(f1680,plain,( 3.06/0.73 ~spl91_2 | ~spl91_8 | ~spl91_13), 3.06/0.73 inference(avatar_contradiction_clause,[],[f1679])). 3.06/0.73 fof(f1679,plain,( 3.06/0.73 $false | (~spl91_2 | ~spl91_8 | ~spl91_13)), 3.06/0.73 inference(subsumption_resolution,[],[f1677,f303])). 3.06/0.73 fof(f1677,plain,( 3.06/0.73 vreduce(vapp(ve1,ve2)) = vsomeExp(vapp(ve1,vgetSomeExp(vreduce(ve2)))) | (~spl91_2 | ~spl91_8 | ~spl91_13)), 3.06/0.73 inference(superposition,[],[f1647,f1644])). 3.06/0.73 fof(f1647,plain,( 3.06/0.73 ( ! [X2,X0,X1] : (vreduce(vapp(vabs(X0,X1,X2),ve2)) = vsomeExp(vapp(vabs(X0,X1,X2),vgetSomeExp(vreduce(ve2))))) ) | ~spl91_8), 3.06/0.73 inference(resolution,[],[f795,f530])). 3.06/0.73 fof(f795,plain,( 3.06/0.73 visSomeExp(vreduce(ve2)) | ~spl91_8), 3.06/0.73 inference(avatar_component_clause,[],[f794])). 3.06/0.73 fof(f794,plain,( 3.06/0.73 spl91_8 <=> visSomeExp(vreduce(ve2))), 3.06/0.73 introduced(avatar_definition,[new_symbols(naming,[spl91_8])])). 3.06/0.73 fof(f1634,plain,( 3.06/0.73 ~spl91_16), 3.06/0.73 inference(avatar_contradiction_clause,[],[f1624])). 3.06/0.73 fof(f1624,plain,( 3.06/0.73 $false | ~spl91_16), 3.06/0.73 inference(unit_resulting_resolution,[],[f303,f1199])). 3.06/0.73 fof(f1199,plain,( 3.06/0.73 ( ! [X1] : (vreduce(vapp(ve1,X1)) = vsomeExp(vapp(sK15,X1))) ) | ~spl91_16), 3.06/0.73 inference(avatar_component_clause,[],[f1198])). 3.06/0.73 fof(f1198,plain,( 3.06/0.73 spl91_16 <=> ! [X1] : vreduce(vapp(ve1,X1)) = vsomeExp(vapp(sK15,X1))), 3.06/0.73 introduced(avatar_definition,[new_symbols(naming,[spl91_16])])). 3.06/0.73 fof(f1565,plain,( 3.06/0.73 ~spl91_2 | ~spl91_14 | ~spl91_15), 3.06/0.73 inference(avatar_contradiction_clause,[],[f1564])). 3.06/0.73 fof(f1564,plain,( 3.06/0.73 $false | (~spl91_2 | ~spl91_14 | ~spl91_15)), 3.06/0.73 inference(subsumption_resolution,[],[f1196,f1545])). 3.06/0.73 fof(f1545,plain,( 3.06/0.73 ( ! [X10,X11,X9] : (ve1 != vabs(X9,X10,X11)) ) | (~spl91_2 | ~spl91_14)), 3.06/0.73 inference(superposition,[],[f420,f1518])). 3.06/0.73 fof(f1518,plain,( 3.06/0.73 ve1 = vapp(sK42(ve1,vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14)),sK43(ve1,vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14))) | (~spl91_2 | ~spl91_14)), 3.06/0.73 inference(resolution,[],[f1515,f358])). 3.06/0.73 fof(f1515,plain,( 3.06/0.73 sP6(ve1,vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14)) | (~spl91_2 | ~spl91_14)), 3.06/0.73 inference(forward_demodulation,[],[f1064,f905])). 3.06/0.73 fof(f1064,plain,( 3.06/0.73 sP6(sK42(vapp(ve1,ve2),vempty,sK14),vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14)) | ~spl91_14), 3.06/0.73 inference(avatar_component_clause,[],[f1063])). 3.06/0.73 fof(f1063,plain,( 3.06/0.73 spl91_14 <=> sP6(sK42(vapp(ve1,ve2),vempty,sK14),vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14))), 3.06/0.73 introduced(avatar_definition,[new_symbols(naming,[spl91_14])])). 3.06/0.73 fof(f420,plain,( 3.06/0.73 ( ! [X4,X2,X0,X3,X1] : (vabs(X0,X1,X2) != vapp(X3,X4)) )), 3.06/0.73 inference(cnf_transformation,[],[f94])). 3.06/0.73 fof(f94,plain,( 3.06/0.73 ! [X0,X1,X2,X3,X4] : vabs(X0,X1,X2) != vapp(X3,X4)), 3.06/0.73 inference(rectify,[],[f33])). 3.06/0.73 fof(f33,axiom,( 3.06/0.73 ! [X1,X20,X6,X15,X31] : vapp(X15,X31) != vabs(X1,X20,X6)), 3.06/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-abs-app')). 3.06/0.73 fof(f1196,plain,( 3.06/0.73 ve1 = vabs(sK88(ve1),sK89(ve1),sK90(ve1)) | ~spl91_15), 3.06/0.73 inference(avatar_component_clause,[],[f1195])). 3.06/0.73 fof(f1195,plain,( 3.06/0.73 spl91_15 <=> ve1 = vabs(sK88(ve1),sK89(ve1),sK90(ve1))), 3.06/0.73 introduced(avatar_definition,[new_symbols(naming,[spl91_15])])). 3.06/0.73 fof(f1557,plain,( 3.06/0.73 ~spl91_2 | ~spl91_5 | ~spl91_14), 3.06/0.73 inference(avatar_contradiction_clause,[],[f1556])). 3.06/0.73 fof(f1556,plain,( 3.06/0.73 $false | (~spl91_2 | ~spl91_5 | ~spl91_14)), 3.06/0.73 inference(subsumption_resolution,[],[f1546,f708])). 3.06/0.73 fof(f708,plain,( 3.06/0.73 visValue(ve1) | ~spl91_5), 3.06/0.73 inference(avatar_component_clause,[],[f707])). 3.06/0.73 fof(f707,plain,( 3.06/0.73 spl91_5 <=> visValue(ve1)), 3.06/0.73 introduced(avatar_definition,[new_symbols(naming,[spl91_5])])). 3.06/0.73 fof(f1546,plain,( 3.06/0.73 ~visValue(ve1) | (~spl91_2 | ~spl91_14)), 3.06/0.73 inference(superposition,[],[f477,f1518])). 3.06/0.73 fof(f477,plain,( 3.06/0.73 ( ! [X0,X1] : (~visValue(vapp(X0,X1))) )), 3.06/0.73 inference(equality_resolution,[],[f375])). 3.06/0.73 fof(f375,plain,( 3.06/0.73 ( ! [X2,X0,X1] : (~visValue(X2) | vapp(X0,X1) != X2) )), 3.06/0.73 inference(cnf_transformation,[],[f146])). 3.06/0.73 fof(f146,plain,( 3.06/0.73 ! [X0,X1,X2] : (~visValue(X2) | vapp(X0,X1) != X2)), 3.06/0.73 inference(ennf_transformation,[],[f86])). 3.06/0.73 fof(f86,plain,( 3.06/0.73 ! [X0,X1,X2] : (vapp(X0,X1) = X2 => ~visValue(X2))), 3.06/0.73 inference(rectify,[],[f15])). 3.06/0.73 fof(f15,axiom,( 3.06/0.73 ! [X7,X9,X6] : (vapp(X7,X9) = X6 => ~visValue(X6))), 3.06/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isValue2)). 3.06/0.73 fof(f1514,plain,( 3.06/0.73 ~spl91_2 | ~spl91_7 | ~spl91_13), 3.06/0.73 inference(avatar_contradiction_clause,[],[f1513])). 3.06/0.73 fof(f1513,plain,( 3.06/0.73 $false | (~spl91_2 | ~spl91_7 | ~spl91_13)), 3.06/0.73 inference(subsumption_resolution,[],[f1509,f303])). 3.06/0.73 fof(f1509,plain,( 3.06/0.73 vreduce(vapp(ve1,ve2)) = vsomeExp(vsubst(sK45(vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14),ve1),ve2,sK46(vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14),ve1))) | (~spl91_2 | ~spl91_7 | ~spl91_13)), 3.06/0.73 inference(superposition,[],[f792,f1067])). 3.06/0.73 fof(f1067,plain,( 3.06/0.73 ve1 = vabs(sK45(vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14),ve1),sK47(vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14),ve1),sK46(vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14),ve1)) | (~spl91_2 | ~spl91_13)), 3.06/0.73 inference(resolution,[],[f1066,f359])). 3.06/0.73 fof(f1066,plain,( 3.06/0.73 sP5(vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14),ve1) | (~spl91_2 | ~spl91_13)), 3.06/0.73 inference(forward_demodulation,[],[f1061,f905])). 3.06/0.73 fof(f792,plain,( 3.06/0.73 ( ! [X2,X0,X1] : (vsomeExp(vsubst(X0,ve2,X1)) = vreduce(vapp(vabs(X0,X2,X1),ve2))) ) | ~spl91_7), 3.06/0.73 inference(avatar_component_clause,[],[f791])). 3.06/0.73 fof(f791,plain,( 3.06/0.73 spl91_7 <=> ! [X1,X0,X2] : vsomeExp(vsubst(X0,ve2,X1)) = vreduce(vapp(vabs(X0,X2,X1),ve2))), 3.06/0.73 introduced(avatar_definition,[new_symbols(naming,[spl91_7])])). 3.06/0.73 fof(f1223,plain,( 3.06/0.73 spl91_5 | spl91_6 | ~spl91_2), 3.06/0.73 inference(avatar_split_clause,[],[f948,f585,f710,f707])). 3.06/0.73 fof(f710,plain,( 3.06/0.73 spl91_6 <=> vreduce(ve1) = vsomeExp(sK15)), 3.06/0.73 introduced(avatar_definition,[new_symbols(naming,[spl91_6])])). 3.06/0.73 fof(f948,plain,( 3.06/0.73 vreduce(ve1) = vsomeExp(sK15) | visValue(ve1) | ~spl91_2), 3.06/0.73 inference(resolution,[],[f907,f311])). 3.06/0.73 fof(f311,plain,( 3.06/0.73 ( ! [X0] : (~vtcheck(vempty,ve1,X0) | vreduce(ve1) = vsomeExp(sK15) | visValue(ve1)) )), 3.06/0.73 inference(cnf_transformation,[],[f227])). 3.06/0.73 fof(f227,plain,( 3.06/0.73 ! [X0] : (vreduce(ve1) = vsomeExp(sK15) | ~vtcheck(vempty,ve1,X0) | visValue(ve1))), 3.06/0.73 inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f124,f226])). 3.06/0.73 fof(f226,plain,( 3.06/0.73 ? [X1] : vreduce(ve1) = vsomeExp(X1) => vreduce(ve1) = vsomeExp(sK15)), 3.06/0.73 introduced(choice_axiom,[])). 3.06/0.73 fof(f124,plain,( 3.06/0.73 ! [X0] : (? [X1] : vreduce(ve1) = vsomeExp(X1) | ~vtcheck(vempty,ve1,X0) | visValue(ve1))), 3.06/0.73 inference(flattening,[],[f123])). 3.06/0.73 fof(f123,plain,( 3.06/0.73 ! [X0] : (? [X1] : vreduce(ve1) = vsomeExp(X1) | (~vtcheck(vempty,ve1,X0) | visValue(ve1)))), 3.06/0.73 inference(ennf_transformation,[],[f69])). 3.06/0.73 fof(f69,plain,( 3.06/0.73 ! [X0] : ((vtcheck(vempty,ve1,X0) & ~visValue(ve1)) => ? [X1] : vreduce(ve1) = vsomeExp(X1))), 3.06/0.73 inference(rectify,[],[f55])). 3.06/0.73 fof(f55,axiom,( 3.06/0.73 ! [X17] : ((vtcheck(vempty,ve1,X17) & ~visValue(ve1)) => ? [X34] : vreduce(ve1) = vsomeExp(X34))), 3.06/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Progress-T-app-IH1')). 3.06/0.73 fof(f907,plain,( 3.06/0.73 vtcheck(vempty,ve1,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14)) | ~spl91_2), 3.06/0.73 inference(superposition,[],[f871,f905])). 3.06/0.73 fof(f871,plain,( 3.06/0.73 vtcheck(vempty,sK42(vapp(ve1,ve2),vempty,sK14),varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14)) | ~spl91_2), 3.06/0.73 inference(resolution,[],[f586,f356])). 3.06/0.73 fof(f356,plain,( 3.06/0.73 ( ! [X2,X0,X1] : (~sP6(X0,X1,X2) | vtcheck(X1,sK42(X0,X1,X2),varrow(sK44(X0,X1,X2),X2))) )), 3.06/0.73 inference(cnf_transformation,[],[f257])). 3.06/0.73 fof(f1200,plain,( 3.06/0.73 spl91_15 | spl91_16 | ~spl91_6), 3.06/0.73 inference(avatar_split_clause,[],[f860,f710,f1198,f1195])). 3.06/0.73 fof(f860,plain,( 3.06/0.73 ( ! [X1] : (vreduce(vapp(ve1,X1)) = vsomeExp(vapp(sK15,X1)) | ve1 = vabs(sK88(ve1),sK89(ve1),sK90(ve1))) ) | ~spl91_6), 3.06/0.73 inference(forward_demodulation,[],[f859,f471])). 3.06/0.73 fof(f859,plain,( 3.06/0.73 ( ! [X1] : (vreduce(vapp(ve1,X1)) = vsomeExp(vapp(vgetSomeExp(vsomeExp(sK15)),X1)) | ve1 = vabs(sK88(ve1),sK89(ve1),sK90(ve1))) ) | ~spl91_6), 3.06/0.73 inference(subsumption_resolution,[],[f853,f462])). 3.06/0.73 fof(f853,plain,( 3.06/0.73 ( ! [X1] : (~visSomeExp(vsomeExp(sK15)) | vreduce(vapp(ve1,X1)) = vsomeExp(vapp(vgetSomeExp(vsomeExp(sK15)),X1)) | ve1 = vabs(sK88(ve1),sK89(ve1),sK90(ve1))) ) | ~spl91_6), 3.06/0.73 inference(superposition,[],[f508,f711])). 3.06/0.73 fof(f711,plain,( 3.06/0.73 vreduce(ve1) = vsomeExp(sK15) | ~spl91_6), 3.06/0.73 inference(avatar_component_clause,[],[f710])). 3.06/0.73 fof(f508,plain,( 3.06/0.73 ( ! [X4,X0] : (~visSomeExp(vreduce(X0)) | vsomeExp(vapp(vgetSomeExp(vreduce(X0)),X4)) = vreduce(vapp(X0,X4)) | vabs(sK88(X0),sK89(X0),sK90(X0)) = X0) )), 3.06/0.73 inference(equality_resolution,[],[f507])). 3.06/0.73 fof(f507,plain,( 3.06/0.73 ( ! [X4,X0,X1] : (vreduce(X1) = vsomeExp(vapp(vgetSomeExp(vreduce(X0)),X4)) | ~visSomeExp(vreduce(X0)) | vapp(X0,X4) != X1 | vabs(sK88(X0),sK89(X0),sK90(X0)) = X0) )), 3.06/0.73 inference(equality_resolution,[],[f506])). 3.06/0.73 fof(f506,plain,( 3.06/0.73 ( ! [X4,X0,X3,X1] : (vreduce(X1) = vsomeExp(vapp(vgetSomeExp(X3),X4)) | vreduce(X0) != X3 | ~visSomeExp(X3) | vapp(X0,X4) != X1 | vabs(sK88(X0),sK89(X0),sK90(X0)) = X0) )), 3.06/0.73 inference(equality_resolution,[],[f430])). 3.06/0.73 fof(f430,plain,( 3.06/0.73 ( ! [X4,X2,X0,X3,X1] : (vsomeExp(vapp(vgetSomeExp(X3),X4)) = X2 | vreduce(X1) != X2 | vreduce(X0) != X3 | ~visSomeExp(X3) | vapp(X0,X4) != X1 | vabs(sK88(X0),sK89(X0),sK90(X0)) = X0) )), 3.06/0.73 inference(cnf_transformation,[],[f300])). 3.06/0.73 fof(f300,plain,( 3.06/0.73 ! [X0,X1,X2,X3,X4] : (vsomeExp(vapp(vgetSomeExp(X3),X4)) = X2 | vreduce(X1) != X2 | vreduce(X0) != X3 | ~visSomeExp(X3) | vapp(X0,X4) != X1 | vabs(sK88(X0),sK89(X0),sK90(X0)) = X0)), 3.06/0.73 inference(skolemisation,[status(esa),new_symbols(skolem,[sK88,sK89,sK90])],[f173,f299])). 3.06/0.73 fof(f299,plain,( 3.06/0.73 ! [X0] : (? [X5,X6,X7] : vabs(X5,X6,X7) = X0 => vabs(sK88(X0),sK89(X0),sK90(X0)) = X0)), 3.06/0.73 introduced(choice_axiom,[])). 3.06/0.73 fof(f173,plain,( 3.06/0.73 ! [X0,X1,X2,X3,X4] : (vsomeExp(vapp(vgetSomeExp(X3),X4)) = X2 | vreduce(X1) != X2 | vreduce(X0) != X3 | ~visSomeExp(X3) | vapp(X0,X4) != X1 | ? [X5,X6,X7] : vabs(X5,X6,X7) = X0)), 3.06/0.73 inference(flattening,[],[f172])). 3.06/0.73 fof(f172,plain,( 3.06/0.73 ! [X0,X1,X2,X3,X4] : (((vsomeExp(vapp(vgetSomeExp(X3),X4)) = X2 | vreduce(X1) != X2) | (vreduce(X0) != X3 | ~visSomeExp(X3))) | (vapp(X0,X4) != X1 | ? [X5,X6,X7] : vabs(X5,X6,X7) = X0))), 3.06/0.73 inference(ennf_transformation,[],[f102])). 3.06/0.73 fof(f102,plain,( 3.06/0.73 ! [X0,X1,X2,X3,X4] : ((vapp(X0,X4) = X1 & ! [X5,X6,X7] : vabs(X5,X6,X7) != X0) => ((vreduce(X0) = X3 & visSomeExp(X3)) => (vreduce(X1) = X2 => vsomeExp(vapp(vgetSomeExp(X3),X4)) = X2)))), 3.06/0.73 inference(rectify,[],[f49])). 3.06/0.73 fof(f49,axiom,( 3.06/0.73 ! [X7,X6,X3,X8,X9] : ((vapp(X7,X9) = X6 & ! [X10,X11,X12] : vabs(X10,X11,X12) != X7) => ((vreduce(X7) = X8 & visSomeExp(X8)) => (vreduce(X6) = X3 => vsomeExp(vapp(vgetSomeExp(X8),X9)) = X3)))), 3.06/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduce5)). 3.06/0.73 fof(f1065,plain,( 3.06/0.73 spl91_13 | spl91_14 | ~spl91_2), 3.06/0.73 inference(avatar_split_clause,[],[f885,f585,f1063,f1060])). 3.06/0.73 fof(f885,plain,( 3.06/0.73 sP6(sK42(vapp(ve1,ve2),vempty,sK14),vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14)) | sP5(vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14),sK42(vapp(ve1,ve2),vempty,sK14)) | ~spl91_2), 3.06/0.73 inference(subsumption_resolution,[],[f884,f307])). 3.06/0.73 fof(f307,plain,( 3.06/0.73 ( ! [X0] : (vnoType != vsomeType(X0)) )), 3.06/0.73 inference(cnf_transformation,[],[f65])). 3.06/0.73 fof(f65,plain,( 3.06/0.73 ! [X0] : vnoType != vsomeType(X0)), 3.06/0.73 inference(rectify,[],[f31])). 3.06/0.73 fof(f31,axiom,( 3.06/0.73 ! [X20] : vnoType != vsomeType(X20)), 3.06/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-noType-someType')). 3.06/0.73 fof(f884,plain,( 3.06/0.73 vnoType = vsomeType(varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14)) | sP6(sK42(vapp(ve1,ve2),vempty,sK14),vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14)) | sP5(vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14),sK42(vapp(ve1,ve2),vempty,sK14)) | ~spl91_2), 3.06/0.73 inference(forward_demodulation,[],[f881,f494])). 3.06/0.73 fof(f494,plain,( 3.06/0.73 ( ! [X1] : (vnoType = vlookup(X1,vempty)) )), 3.06/0.73 inference(equality_resolution,[],[f493])). 3.06/0.73 fof(f493,plain,( 3.06/0.73 ( ! [X2,X1] : (vlookup(X1,X2) = vnoType | vempty != X2) )), 3.06/0.73 inference(equality_resolution,[],[f492])). 3.06/0.73 fof(f492,plain,( 3.06/0.73 ( ! [X2,X0,X1] : (vlookup(X1,X2) = vnoType | X0 != X1 | vempty != X2) )), 3.06/0.73 inference(equality_resolution,[],[f419])). 3.06/0.73 fof(f419,plain,( 3.06/0.73 ( ! [X2,X0,X3,X1] : (vnoType = X3 | vlookup(X1,X2) != X3 | X0 != X1 | vempty != X2) )), 3.06/0.73 inference(cnf_transformation,[],[f158])). 3.06/0.73 fof(f158,plain,( 3.06/0.73 ! [X0,X1,X2,X3] : (vnoType = X3 | vlookup(X1,X2) != X3 | X0 != X1 | vempty != X2)), 3.06/0.73 inference(flattening,[],[f157])). 3.06/0.73 fof(f157,plain,( 3.06/0.73 ! [X0,X1,X2,X3] : ((vnoType = X3 | vlookup(X1,X2) != X3) | (X0 != X1 | vempty != X2))), 3.06/0.73 inference(ennf_transformation,[],[f1])). 3.06/0.73 fof(f1,axiom,( 3.06/0.73 ! [X0,X1,X2,X3] : ((X0 = X1 & vempty = X2) => (vlookup(X1,X2) = X3 => vnoType = X3))), 3.06/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lookup0)). 3.06/0.73 fof(f881,plain,( 3.06/0.73 sP6(sK42(vapp(ve1,ve2),vempty,sK14),vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14)) | sP5(vempty,varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14),sK42(vapp(ve1,ve2),vempty,sK14)) | vsomeType(varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14)) = vlookup(sK49(sK42(vapp(ve1,ve2),vempty,sK14),varrow(sK44(vapp(ve1,ve2),vempty,sK14),sK14),vempty),vempty) | ~spl91_2), 3.06/0.73 inference(resolution,[],[f871,f362])). 3.06/0.73 fof(f362,plain,( 3.06/0.73 ( ! [X2,X0,X1] : (~vtcheck(X2,X0,X1) | sP6(X0,X2,X1) | sP5(X2,X1,X0) | vsomeType(X1) = vlookup(sK49(X0,X1,X2),X2)) )), 3.06/0.73 inference(cnf_transformation,[],[f263])). 3.06/0.73 fof(f263,plain,( 3.06/0.73 ! [X0,X1,X2] : ((vvar(sK49(X0,X1,X2)) = X0 & vsomeType(X1) = vlookup(sK49(X0,X1,X2),X2)) | sP6(X0,X2,X1) | sP5(X2,X1,X0) | ~vtcheck(X2,X0,X1))), 3.06/0.73 inference(skolemisation,[status(esa),new_symbols(skolem,[sK49])],[f214,f262])). 3.06/0.73 fof(f262,plain,( 3.06/0.73 ! [X2,X1,X0] : (? [X3] : (vvar(X3) = X0 & vsomeType(X1) = vlookup(X3,X2)) => (vvar(sK49(X0,X1,X2)) = X0 & vsomeType(X1) = vlookup(sK49(X0,X1,X2),X2)))), 3.06/0.73 introduced(choice_axiom,[])). 3.06/0.73 fof(f214,plain,( 3.06/0.73 ! [X0,X1,X2] : (? [X3] : (vvar(X3) = X0 & vsomeType(X1) = vlookup(X3,X2)) | sP6(X0,X2,X1) | sP5(X2,X1,X0) | ~vtcheck(X2,X0,X1))), 3.06/0.73 inference(definition_folding,[],[f143,f213,f212])). 3.06/0.73 fof(f143,plain,( 3.06/0.73 ! [X0,X1,X2] : (? [X3] : (vvar(X3) = X0 & vsomeType(X1) = vlookup(X3,X2)) | ? [X4,X5,X6] : (vapp(X4,X5) = X0 & vtcheck(X2,X5,X6) & vtcheck(X2,X4,varrow(X6,X1))) | ? [X7,X8,X9,X10] : (vtcheck(vbind(X7,X9,X2),X8,X10) & varrow(X9,X10) = X1 & vabs(X7,X9,X8) = X0) | ~vtcheck(X2,X0,X1))), 3.06/0.73 inference(flattening,[],[f142])). 3.06/0.73 fof(f142,plain,( 3.06/0.73 ! [X0,X1,X2] : ((? [X3] : (vvar(X3) = X0 & vsomeType(X1) = vlookup(X3,X2)) | ? [X4,X5,X6] : (vapp(X4,X5) = X0 & vtcheck(X2,X5,X6) & vtcheck(X2,X4,varrow(X6,X1))) | ? [X7,X8,X9,X10] : (vtcheck(vbind(X7,X9,X2),X8,X10) & varrow(X9,X10) = X1 & vabs(X7,X9,X8) = X0)) | ~vtcheck(X2,X0,X1))), 3.06/0.73 inference(ennf_transformation,[],[f84])). 3.06/0.73 fof(f84,plain,( 3.06/0.73 ! [X0,X1,X2] : (vtcheck(X2,X0,X1) => (? [X3] : (vvar(X3) = X0 & vsomeType(X1) = vlookup(X3,X2)) | ? [X4,X5,X6] : (vapp(X4,X5) = X0 & vtcheck(X2,X5,X6) & vtcheck(X2,X4,varrow(X6,X1))) | ? [X7,X8,X9,X10] : (vtcheck(vbind(X7,X9,X2),X8,X10) & varrow(X9,X10) = X1 & vabs(X7,X9,X8) = X0)))), 3.06/0.73 inference(rectify,[],[f22])). 3.06/0.73 fof(f22,axiom,( 3.06/0.73 ! [X5,X17,X27] : (vtcheck(X27,X5,X17) => (? [X0] : (vvar(X0) = X5 & vlookup(X0,X27) = vsomeType(X17)) | ? [X7,X9,X13] : (vapp(X7,X9) = X5 & vtcheck(X27,X9,X13) & vtcheck(X27,X7,varrow(X13,X17))) | ? [X0,X9,X28,X29] : (vtcheck(vbind(X0,X28,X27),X9,X29) & varrow(X28,X29) = X17 & vabs(X0,X28,X9) = X5)))), 3.06/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-inv')). 3.06/0.73 fof(f870,plain,( 3.06/0.73 ~spl91_1), 3.06/0.73 inference(avatar_contradiction_clause,[],[f869])). 3.06/0.73 fof(f869,plain,( 3.06/0.73 $false | ~spl91_1), 3.06/0.73 inference(subsumption_resolution,[],[f865,f420])). 3.06/0.73 fof(f865,plain,( 3.06/0.73 vapp(ve1,ve2) = vabs(sK45(vempty,sK14,vapp(ve1,ve2)),sK47(vempty,sK14,vapp(ve1,ve2)),sK46(vempty,sK14,vapp(ve1,ve2))) | ~spl91_1), 3.06/0.73 inference(resolution,[],[f583,f359])). 3.06/0.73 fof(f583,plain,( 3.06/0.73 sP5(vempty,sK14,vapp(ve1,ve2)) | ~spl91_1), 3.06/0.73 inference(avatar_component_clause,[],[f582])). 3.06/0.73 fof(f582,plain,( 3.06/0.73 spl91_1 <=> sP5(vempty,sK14,vapp(ve1,ve2))), 3.06/0.73 introduced(avatar_definition,[new_symbols(naming,[spl91_1])])). 3.06/0.73 fof(f796,plain,( 3.06/0.73 spl91_7 | spl91_8 | ~spl91_3), 3.06/0.73 inference(avatar_split_clause,[],[f662,f653,f794,f791])). 3.06/0.73 fof(f662,plain,( 3.06/0.73 ( ! [X2,X0,X1] : (visSomeExp(vreduce(ve2)) | vsomeExp(vsubst(X0,ve2,X1)) = vreduce(vapp(vabs(X0,X2,X1),ve2))) ) | ~spl91_3), 3.06/0.73 inference(resolution,[],[f654,f527])). 3.06/0.73 fof(f527,plain,( 3.06/0.73 ( ! [X6,X4,X0,X5] : (~visValue(X5) | visSomeExp(vreduce(X5)) | vsomeExp(vsubst(X4,X5,X6)) = vreduce(vapp(vabs(X4,X0,X6),X5))) )), 3.06/0.73 inference(equality_resolution,[],[f526])). 3.06/0.73 fof(f526,plain,( 3.06/0.73 ( ! [X6,X4,X2,X0,X5] : (vreduce(X2) = vsomeExp(vsubst(X4,X5,X6)) | visSomeExp(vreduce(X5)) | ~visValue(X5) | vapp(vabs(X4,X0,X6),X5) != X2) )), 3.06/0.73 inference(equality_resolution,[],[f525])). 3.06/0.73 fof(f525,plain,( 3.06/0.73 ( ! [X6,X4,X2,X0,X5,X1] : (vreduce(X2) = vsomeExp(vsubst(X4,X5,X6)) | visSomeExp(X1) | vreduce(X5) != X1 | ~visValue(X5) | vapp(vabs(X4,X0,X6),X5) != X2) )), 3.06/0.73 inference(equality_resolution,[],[f443])). 3.06/0.73 fof(f443,plain,( 3.06/0.73 ( ! [X6,X4,X2,X0,X5,X3,X1] : (vsomeExp(vsubst(X4,X5,X6)) = X3 | vreduce(X2) != X3 | visSomeExp(X1) | vreduce(X5) != X1 | ~visValue(X5) | vapp(vabs(X4,X0,X6),X5) != X2) )), 3.06/0.73 inference(cnf_transformation,[],[f183])). 3.06/0.73 fof(f183,plain,( 3.06/0.73 ! [X0,X1,X2,X3,X4,X5,X6] : (vsomeExp(vsubst(X4,X5,X6)) = X3 | vreduce(X2) != X3 | visSomeExp(X1) | vreduce(X5) != X1 | ~visValue(X5) | vapp(vabs(X4,X0,X6),X5) != X2)), 3.06/0.73 inference(flattening,[],[f182])). 3.06/0.73 fof(f182,plain,( 3.06/0.73 ! [X0,X1,X2,X3,X4,X5,X6] : (((vsomeExp(vsubst(X4,X5,X6)) = X3 | vreduce(X2) != X3) | (visSomeExp(X1) | vreduce(X5) != X1 | ~visValue(X5))) | vapp(vabs(X4,X0,X6),X5) != X2)), 3.06/0.73 inference(ennf_transformation,[],[f107])). 3.06/0.73 fof(f107,plain,( 3.06/0.73 ! [X0,X1,X2,X3,X4,X5,X6] : (vapp(vabs(X4,X0,X6),X5) = X2 => ((~visSomeExp(X1) & vreduce(X5) = X1 & visValue(X5)) => (vreduce(X2) = X3 => vsomeExp(vsubst(X4,X5,X6)) = X3)))), 3.06/0.73 inference(rectify,[],[f44])). 3.06/0.73 fof(f44,axiom,( 3.06/0.73 ! [X13,X14,X6,X3,X0,X9,X7] : (vapp(vabs(X0,X13,X7),X9) = X6 => ((~visSomeExp(X14) & vreduce(X9) = X14 & visValue(X9)) => (vreduce(X6) = X3 => vsomeExp(vsubst(X0,X9,X7)) = X3)))), 3.06/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduce3)). 3.06/0.73 fof(f654,plain,( 3.06/0.73 visValue(ve2) | ~spl91_3), 3.06/0.73 inference(avatar_component_clause,[],[f653])). 3.06/0.73 fof(f587,plain,( 3.06/0.73 spl91_1 | spl91_2), 3.06/0.73 inference(avatar_split_clause,[],[f573,f585,f582])). 3.06/0.73 fof(f573,plain,( 3.06/0.73 sP6(vapp(ve1,ve2),vempty,sK14) | sP5(vempty,sK14,vapp(ve1,ve2))), 3.06/0.73 inference(subsumption_resolution,[],[f572,f307])). 3.06/0.73 fof(f572,plain,( 3.06/0.73 vnoType = vsomeType(sK14) | sP6(vapp(ve1,ve2),vempty,sK14) | sP5(vempty,sK14,vapp(ve1,ve2))), 3.06/0.73 inference(forward_demodulation,[],[f569,f494])). 3.06/0.73 fof(f569,plain,( 3.06/0.73 sP6(vapp(ve1,ve2),vempty,sK14) | sP5(vempty,sK14,vapp(ve1,ve2)) | vsomeType(sK14) = vlookup(sK49(vapp(ve1,ve2),sK14,vempty),vempty)), 3.06/0.73 inference(resolution,[],[f301,f362])). 3.06/0.73 fof(f301,plain,( 3.06/0.73 vtcheck(vempty,vapp(ve1,ve2),sK14)), 3.06/0.73 inference(cnf_transformation,[],[f225])). 3.06/0.73 % SZS output end Proof for theBenchmark 3.06/0.73 % (15084)------------------------------ 3.06/0.73 % (15084)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.06/0.73 % (15084)Termination reason: Refutation 3.06/0.73 3.06/0.73 % (15084)Memory used [KB]: 12920 3.06/0.73 % (15084)Time elapsed: 0.375 s 3.06/0.73 % (15084)------------------------------ 3.06/0.73 % (15084)------------------------------ 3.06/0.74 % (15076)Success in time 0.427 s 3.06/0.74 EOF