0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_vampire %s %d 0.11/0.32 % Computer : n027.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Thu Jul 2 08:51:48 EDT 2020 0.11/0.33 % CPUTime : 0.18/0.47 % (6930)lrs+1011_8_add=large:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark 0.18/0.47 % (6934)lrs+1_5:1_afr=on:afp=100000:afq=2.0:amm=off:anc=none:bd=off:fde=none:gs=on:gsaa=full_model:gsem=on:irw=on:lwlo=on:nm=0:nwc=2.5:stl=30:sp=occurrence:uhcvi=on_42 on theBenchmark 0.18/0.48 % (6929)lrs+1_4:1_awrs=converge:awrsf=128:av=off:cond=fast:fde=none:gsp=input_only:gs=on:gsem=on:lcm=predicate:lwlo=on:nm=4:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:s2a=on:st=2.0:sos=on_27 on theBenchmark 0.18/0.48 % (6928)dis+1002_6_add=large:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_7 on theBenchmark 0.18/0.49 % (6947)ott+11_8:1_acc=model:afp=1000:afq=1.0:anc=none:bd=off:bsr=on:cond=on:gs=on:gsem=off:irw=on:lma=on:nm=16:nwc=1.5:sac=on:sp=occurrence:urr=on_104 on theBenchmark 0.18/0.49 % (6935)lrs+1011_2:3_add=large:afr=on:afp=100000:afq=1.2:anc=none:gs=on:gsem=off:irw=on:nm=64:nwc=1:stl=30:sd=3:ss=axioms:sos=all:sp=reverse_arity_48 on theBenchmark 0.18/0.49 % (6925)dis+10_3_add=large:afp=10000:afq=1.0:amm=sco:anc=none:gsp=input_only:gs=on:gsem=off:lcm=reverse:nwc=1:sos=on_6 on theBenchmark 0.18/0.49 % (6946)lrs+3_64_add=large:afp=40000:afq=1.4:anc=none:bd=preordered:bsr=on:fde=unused:gs=on:gsaa=from_current:gsem=on:irw=on:lcm=predicate:lma=on:lwlo=on:nm=16:newcnf=on:nwc=1.2:stl=90:sos=theory_285 on theBenchmark 0.18/0.49 % (6939)lrs-2_6_acc=on:afp=40000:afq=1.2:amm=sco:anc=none:bs=on:bsr=on:cond=on:fsr=off:fde=none:lcm=reverse:lma=on:nm=32:newcnf=on:nwc=2.5:nicw=on:stl=30:sp=reverse_arity:urr=ec_only_162 on theBenchmark 0.18/0.49 % (6945)dis+11_1024_av=off:bd=off:bs=on:cond=on:gs=on:lma=on:nm=16:nwc=1:sp=occurrence:updr=off_98 on theBenchmark 0.18/0.49 % (6944)dis+1010_5_add=large:afp=10000:afq=1.2:amm=off:bs=unit_only:bsr=on:bce=on:cond=fast:fsr=off:fde=none:gsp=input_only:gs=on:irw=on:lma=on:nm=4:newcnf=on:nwc=1.3:nicw=on:sos=all:sac=on:updr=off_34 on theBenchmark 0.18/0.50 % (6937)ott-3_4:1_awrs=converge:awrsf=2:acc=model:add=large:afr=on:afp=40000:afq=1.2:anc=none:ccuc=small_ones:fde=unused:gsp=input_only:irw=on:nm=0:nwc=4:sd=4:ss=axioms:s2a=on:st=1.2:sos=on:urr=on:updr=off:uhcvi=on_2 on theBenchmark 0.18/0.50 % (6936)ott+4_32_av=off:bsr=on:cond=on:er=known:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lma=on:nm=4:nwc=1.2:sos=theory_197 on theBenchmark 0.18/0.50 % (6926)dis+11_1_acc=on:afp=1000:afq=1.4:amm=sco:anc=all_dependent:bs=on:ccuc=small_ones:cond=fast:fde=none:gsp=input_only:nm=64:nwc=1:sac=on:urr=ec_only:updr=off:uhcvi=on_105 on theBenchmark 0.18/0.50 % (6938)dis+1011_3_awrs=decay:awrsf=32:afp=10000:afq=1.1:amm=off:anc=none:cond=fast:ep=RSTC:fde=unused:lma=on:nm=16:nwc=2.5:s2a=on:sac=on:sp=frequency:urr=ec_only_2 on theBenchmark 0.18/0.50 % (6931)lrs+4_3_av=off:br=off:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark 0.18/0.50 % (6942)dis+1010_3:1_av=off:gsp=input_only:nm=6:nwc=1:sos=all:sp=occurrence_48 on theBenchmark 0.18/0.51 % (6924)dis+10_1_add=off:afp=4000:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on_2 on theBenchmark 0.18/0.53 % (6933)lrs+1002_4:1_aac=none:add=off:afr=on:afp=40000:afq=1.0:amm=off:anc=none:cond=on:fsr=off:fde=none:gs=on:gsaa=full_model:lma=on:nm=16:nwc=1:sas=z3:stl=30:sd=7:ss=axioms:sos=on:sp=occurrence:updr=off:uhcvi=on_85 on theBenchmark 0.18/0.53 % (6943)lrs+4_24_av=off:bd=preordered:bsr=on:irw=on:lma=on:lwlo=on:nm=64:newcnf=on:nwc=1.1:stl=30:sos=theory:updr=off:uhcvi=on_220 on theBenchmark 0.18/0.55 % (6948)dis+2_128_add=large:afp=100000:afq=1.4:amm=sco:anc=none:lma=on:nm=2:newcnf=on:nwc=1:nicw=on:sas=z3:sos=theory:sac=on:updr=off_288 on theBenchmark 0.18/0.55 % (6927)lrs+11_20_av=off:bs=unit_only:bsr=on:bce=on:cond=on:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=theory:sp=reverse_arity:uhcvi=on_92 on theBenchmark 0.18/0.56 % (6940)lrs+4_5:4_av=off:bd=off:er=filter:lma=on:lwlo=on:nwc=1:stl=30:sp=occurrence:updr=off_230 on theBenchmark 0.18/0.56 % (6949)lrs+10_24_add=off:afr=on:afp=1000:afq=1.4:anc=none:bs=unit_only:gs=on:gsaa=from_current:gsem=on:lma=on:nm=2:nwc=1.1:stl=60:sac=on:uhcvi=on_364 on theBenchmark 1.69/0.57 % (6941)lrs+1002_1_add=large:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:sas=z3:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_145 on theBenchmark 1.69/0.57 % (6932)dis+1011_4_av=off:cond=on:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark 2.83/0.73 % (6942)Refutation found. Thanks to Tanya! 2.83/0.73 % SZS status Theorem for theBenchmark 2.83/0.73 % SZS output start Proof for theBenchmark 2.83/0.73 fof(f2971,plain,( 2.83/0.73 $false), 2.83/0.73 inference(subsumption_resolution,[],[f2970,f35])). 2.83/0.73 fof(f35,plain,( 2.83/0.73 int_leq(sK0,n)), 2.83/0.73 inference(cnf_transformation,[],[f27])). 2.83/0.73 fof(f27,plain,( 2.83/0.73 ((real_zero = a(sK0,sK1) & sK0 = sK1) | (real_zero != a(sK0,sK1) & sK0 != sK1)) & int_leq(int_one,sK0) & int_leq(sK1,n) & int_leq(int_one,sK1) & int_leq(sK0,n)), 2.83/0.73 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f18,f26])). 2.83/0.73 fof(f26,plain,( 2.83/0.73 ? [X0,X1] : (((a(X0,X1) = real_zero & X0 = X1) | (a(X0,X1) != real_zero & X0 != X1)) & int_leq(int_one,X0) & int_leq(X1,n) & int_leq(int_one,X1) & int_leq(X0,n)) => (((real_zero = a(sK0,sK1) & sK0 = sK1) | (real_zero != a(sK0,sK1) & sK0 != sK1)) & int_leq(int_one,sK0) & int_leq(sK1,n) & int_leq(int_one,sK1) & int_leq(sK0,n))), 2.83/0.73 introduced(choice_axiom,[])). 2.83/0.73 fof(f18,plain,( 2.83/0.73 ? [X0,X1] : (((a(X0,X1) = real_zero & X0 = X1) | (a(X0,X1) != real_zero & X0 != X1)) & int_leq(int_one,X0) & int_leq(X1,n) & int_leq(int_one,X1) & int_leq(X0,n))), 2.83/0.73 inference(flattening,[],[f17])). 2.83/0.73 fof(f17,plain,( 2.83/0.73 ? [X0,X1] : (((a(X0,X1) = real_zero & X0 = X1) | (a(X0,X1) != real_zero & X0 != X1)) & (int_leq(int_one,X0) & int_leq(X1,n) & int_leq(int_one,X1) & int_leq(X0,n)))), 2.83/0.73 inference(ennf_transformation,[],[f4])). 2.83/0.73 fof(f4,negated_conjecture,( 2.83/0.73 ~! [X0,X1] : ((int_leq(int_one,X0) & int_leq(X1,n) & int_leq(int_one,X1) & int_leq(X0,n)) => ((X0 = X1 => a(X0,X1) != real_zero) & (X0 != X1 => a(X0,X1) = real_zero)))), 2.83/0.73 inference(negated_conjecture,[],[f3])). 2.83/0.73 fof(f3,conjecture,( 2.83/0.73 ! [X0,X1] : ((int_leq(int_one,X0) & int_leq(X1,n) & int_leq(int_one,X1) & int_leq(X0,n)) => ((X0 = X1 => a(X0,X1) != real_zero) & (X0 != X1 => a(X0,X1) = real_zero)))), 2.83/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',di)). 2.83/0.73 fof(f2970,plain,( 2.83/0.73 ~int_leq(sK0,n)), 2.83/0.73 inference(subsumption_resolution,[],[f2964,f38])). 2.83/0.73 fof(f38,plain,( 2.83/0.73 int_leq(int_one,sK0)), 2.83/0.73 inference(cnf_transformation,[],[f27])). 2.83/0.73 fof(f2964,plain,( 2.83/0.73 ~int_leq(int_one,sK0) | ~int_leq(sK0,n)), 2.83/0.73 inference(resolution,[],[f2957,f66])). 2.83/0.73 fof(f66,plain,( 2.83/0.73 ( ! [X1] : (int_leq(X1,X1)) )), 2.83/0.73 inference(equality_resolution,[],[f58])). 2.83/0.73 fof(f58,plain,( 2.83/0.73 ( ! [X0,X1] : (int_leq(X0,X1) | X0 != X1) )), 2.83/0.73 inference(cnf_transformation,[],[f34])). 2.83/0.73 fof(f34,plain,( 2.83/0.73 ! [X0,X1] : ((int_leq(X0,X1) | (~int_less(X0,X1) & X0 != X1)) & (int_less(X0,X1) | X0 = X1 | ~int_leq(X0,X1)))), 2.83/0.73 inference(flattening,[],[f33])). 2.83/0.73 fof(f33,plain,( 2.83/0.73 ! [X0,X1] : ((int_leq(X0,X1) | (~int_less(X0,X1) & X0 != X1)) & ((int_less(X0,X1) | X0 = X1) | ~int_leq(X0,X1)))), 2.83/0.73 inference(nnf_transformation,[],[f1])). 2.83/0.73 fof(f1,axiom,( 2.83/0.73 ! [X0,X1] : (int_leq(X0,X1) <=> (int_less(X0,X1) | X0 = X1))), 2.83/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_leq)). 2.83/0.73 fof(f2957,plain,( 2.83/0.73 ( ! [X0] : (~int_leq(sK0,X0) | ~int_leq(int_one,X0) | ~int_leq(X0,n)) )), 2.83/0.73 inference(subsumption_resolution,[],[f2956,f38])). 2.83/0.73 fof(f2956,plain,( 2.83/0.73 ( ! [X0] : (~int_leq(int_one,sK0) | ~int_leq(sK0,X0) | ~int_leq(int_one,X0) | ~int_leq(X0,n)) )), 2.83/0.73 inference(subsumption_resolution,[],[f2954,f46])). 2.83/0.73 fof(f46,plain,( 2.83/0.73 real_zero != real_one), 2.83/0.73 inference(cnf_transformation,[],[f12])). 2.83/0.73 fof(f12,axiom,( 2.83/0.73 real_zero != real_one), 2.83/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_constants)). 2.83/0.73 fof(f2954,plain,( 2.83/0.73 ( ! [X0] : (real_zero = real_one | ~int_leq(int_one,sK0) | ~int_leq(sK0,X0) | ~int_leq(int_one,X0) | ~int_leq(X0,n)) )), 2.83/0.73 inference(superposition,[],[f2919,f87])). 2.83/0.73 fof(f87,plain,( 2.83/0.73 ( ! [X6,X1] : (real_one = a(X6,X6) | ~int_leq(int_one,X6) | ~int_leq(X6,X1) | ~int_leq(int_one,X1) | ~int_leq(X1,n)) )), 2.83/0.73 inference(subsumption_resolution,[],[f68,f85])). 2.83/0.73 fof(f85,plain,( 2.83/0.73 sP3), 2.83/0.73 inference(subsumption_resolution,[],[f80,f37])). 2.83/0.73 fof(f37,plain,( 2.83/0.73 int_leq(sK1,n)), 2.83/0.73 inference(cnf_transformation,[],[f27])). 2.83/0.73 fof(f80,plain,( 2.83/0.73 ~int_leq(sK1,n) | sP3), 2.83/0.73 inference(resolution,[],[f67,f36])). 2.83/0.73 fof(f36,plain,( 2.83/0.73 int_leq(int_one,sK1)), 2.83/0.73 inference(cnf_transformation,[],[f27])). 2.83/0.73 fof(f67,plain,( 2.83/0.73 ( ! [X0] : (~int_leq(int_one,X0) | ~int_leq(X0,n) | sP3) )), 2.83/0.73 inference(cnf_transformation,[],[f67_D])). 2.83/0.73 fof(f67_D,plain,( 2.83/0.73 ( ! [X0] : (~int_leq(int_one,X0) | ~int_leq(X0,n)) ) <=> ~sP3), 2.83/0.73 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])])). 2.83/0.73 fof(f68,plain,( 2.83/0.73 ( ! [X6,X1] : (real_one = a(X6,X6) | ~int_leq(int_one,X6) | ~int_leq(X6,X1) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~sP3) )), 2.83/0.73 inference(general_splitting,[],[f43,f67_D])). 2.83/0.73 fof(f43,plain,( 2.83/0.73 ( ! [X6,X0,X1] : (real_one = a(X6,X6) | ~int_leq(int_one,X6) | ~int_leq(X6,X1) | ~int_leq(X0,n) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~int_leq(int_one,X0)) )), 2.83/0.73 inference(cnf_transformation,[],[f20])). 2.83/0.73 fof(f20,plain,( 2.83/0.73 ! [X0,X1] : ((! [X2] : (! [X3] : (real_zero = a(plus(X3,X2),X3) | ~int_leq(int_one,X3) | ~int_leq(X3,X1)) | ~int_less(int_zero,X2) | plus(X1,X2) != X0) & ! [X4] : (! [X5] : (real_zero = a(X5,plus(X5,X4)) | ~int_leq(int_one,X5) | ~int_leq(X5,X0)) | plus(X0,X4) != X1 | ~int_less(int_zero,X4)) & ! [X6] : (real_one = a(X6,X6) | ~int_leq(int_one,X6) | ~int_leq(X6,X1))) | ~int_leq(X0,n) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~int_leq(int_one,X0))), 2.83/0.73 inference(flattening,[],[f19])). 2.83/0.73 fof(f19,plain,( 2.83/0.73 ! [X0,X1] : ((! [X2] : (! [X3] : (real_zero = a(plus(X3,X2),X3) | (~int_leq(int_one,X3) | ~int_leq(X3,X1))) | (~int_less(int_zero,X2) | plus(X1,X2) != X0)) & ! [X4] : (! [X5] : (real_zero = a(X5,plus(X5,X4)) | (~int_leq(int_one,X5) | ~int_leq(X5,X0))) | (plus(X0,X4) != X1 | ~int_less(int_zero,X4))) & ! [X6] : (real_one = a(X6,X6) | (~int_leq(int_one,X6) | ~int_leq(X6,X1)))) | (~int_leq(X0,n) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~int_leq(int_one,X0)))), 2.83/0.73 inference(ennf_transformation,[],[f15])). 2.83/0.73 fof(f15,plain,( 2.83/0.73 ! [X0,X1] : ((int_leq(X0,n) & int_leq(int_one,X1) & int_leq(X1,n) & int_leq(int_one,X0)) => (! [X2] : ((int_less(int_zero,X2) & plus(X1,X2) = X0) => ! [X3] : ((int_leq(int_one,X3) & int_leq(X3,X1)) => real_zero = a(plus(X3,X2),X3))) & ! [X4] : ((plus(X0,X4) = X1 & int_less(int_zero,X4)) => ! [X5] : ((int_leq(int_one,X5) & int_leq(X5,X0)) => real_zero = a(X5,plus(X5,X4)))) & ! [X6] : ((int_leq(int_one,X6) & int_leq(X6,X1)) => real_one = a(X6,X6))))), 2.83/0.73 inference(rectify,[],[f9])). 2.83/0.73 fof(f9,axiom,( 2.83/0.73 ! [X0,X1] : ((int_leq(X0,n) & int_leq(int_one,X1) & int_leq(X1,n) & int_leq(int_one,X0)) => (! [X3] : ((int_less(int_zero,X3) & plus(X1,X3) = X0) => ! [X2] : ((int_leq(int_one,X2) & int_leq(X2,X1)) => real_zero = a(plus(X2,X3),X2))) & ! [X3] : ((plus(X0,X3) = X1 & int_less(int_zero,X3)) => ! [X2] : ((int_leq(int_one,X2) & int_leq(X2,X0)) => real_zero = a(X2,plus(X2,X3)))) & ! [X2] : ((int_leq(int_one,X2) & int_leq(X2,X1)) => a(X2,X2) = real_one)))), 2.83/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qii)). 2.83/0.73 fof(f2919,plain,( 2.83/0.73 real_zero = a(sK0,sK0)), 2.83/0.73 inference(subsumption_resolution,[],[f2817,f2803])). 2.83/0.73 fof(f2803,plain,( 2.83/0.73 sK0 = sK1), 2.83/0.73 inference(subsumption_resolution,[],[f2801,f861])). 2.83/0.73 fof(f861,plain,( 2.83/0.73 ~int_less(sK0,sK1) | sK0 = sK1), 2.83/0.73 inference(subsumption_resolution,[],[f860,f37])). 2.83/0.73 fof(f860,plain,( 2.83/0.73 sK0 = sK1 | ~int_leq(sK1,n) | ~int_less(sK0,sK1)), 2.83/0.73 inference(subsumption_resolution,[],[f859,f36])). 2.83/0.73 fof(f859,plain,( 2.83/0.73 sK0 = sK1 | ~int_leq(int_one,sK1) | ~int_leq(sK1,n) | ~int_less(sK0,sK1)), 2.83/0.73 inference(subsumption_resolution,[],[f858,f35])). 2.83/0.73 fof(f858,plain,( 2.83/0.73 sK0 = sK1 | ~int_leq(sK0,n) | ~int_leq(int_one,sK1) | ~int_leq(sK1,n) | ~int_less(sK0,sK1)), 2.83/0.73 inference(subsumption_resolution,[],[f856,f38])). 2.83/0.73 fof(f856,plain,( 2.83/0.73 sK0 = sK1 | ~int_leq(int_one,sK0) | ~int_leq(sK0,n) | ~int_leq(int_one,sK1) | ~int_leq(sK1,n) | ~int_less(sK0,sK1)), 2.83/0.73 inference(trivial_inequality_removal,[],[f853])). 2.83/0.73 fof(f853,plain,( 2.83/0.73 real_zero != real_zero | sK0 = sK1 | ~int_leq(int_one,sK0) | ~int_leq(sK0,n) | ~int_leq(int_one,sK1) | ~int_leq(sK1,n) | ~int_less(sK0,sK1)), 2.83/0.73 inference(superposition,[],[f40,f227])). 2.83/0.73 fof(f227,plain,( 2.83/0.73 ( ! [X0,X1] : (a(X0,X1) = real_zero | ~int_leq(int_one,X0) | ~int_leq(X0,n) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~int_less(X0,X1)) )), 2.83/0.73 inference(subsumption_resolution,[],[f226,f66])). 2.83/0.73 fof(f226,plain,( 2.83/0.73 ( ! [X0,X1] : (~int_leq(int_one,X1) | ~int_leq(int_one,X0) | ~int_leq(X0,X0) | ~int_leq(X0,n) | a(X0,X1) = real_zero | ~int_leq(X1,n) | ~int_less(X0,X1)) )), 2.83/0.73 inference(duplicate_literal_removal,[],[f223])). 2.83/0.73 fof(f223,plain,( 2.83/0.73 ( ! [X0,X1] : (~int_leq(int_one,X1) | ~int_leq(int_one,X0) | ~int_leq(X0,X0) | ~int_leq(X0,n) | a(X0,X1) = real_zero | ~int_leq(X1,n) | ~int_leq(int_one,X0) | ~int_less(X0,X1) | ~int_less(X0,X1)) )), 2.83/0.73 inference(superposition,[],[f97,f54])). 2.83/0.73 fof(f54,plain,( 2.83/0.73 ( ! [X0,X1] : (plus(X0,sK2(X0,X1)) = X1 | ~int_less(X0,X1)) )), 2.83/0.73 inference(cnf_transformation,[],[f32])). 2.83/0.73 fof(f32,plain,( 2.83/0.73 ! [X0,X1] : ((int_less(X0,X1) | ! [X2] : (~int_less(int_zero,X2) | plus(X0,X2) != X1)) & ((int_less(int_zero,sK2(X0,X1)) & plus(X0,sK2(X0,X1)) = X1) | ~int_less(X0,X1)))), 2.83/0.73 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f30,f31])). 2.83/0.73 fof(f31,plain,( 2.83/0.73 ! [X1,X0] : (? [X3] : (int_less(int_zero,X3) & plus(X0,X3) = X1) => (int_less(int_zero,sK2(X0,X1)) & plus(X0,sK2(X0,X1)) = X1))), 2.83/0.73 introduced(choice_axiom,[])). 2.83/0.73 fof(f30,plain,( 2.83/0.73 ! [X0,X1] : ((int_less(X0,X1) | ! [X2] : (~int_less(int_zero,X2) | plus(X0,X2) != X1)) & (? [X3] : (int_less(int_zero,X3) & plus(X0,X3) = X1) | ~int_less(X0,X1)))), 2.83/0.73 inference(rectify,[],[f29])). 2.83/0.73 fof(f29,plain,( 2.83/0.73 ! [X0,X1] : ((int_less(X0,X1) | ! [X2] : (~int_less(int_zero,X2) | plus(X0,X2) != X1)) & (? [X2] : (int_less(int_zero,X2) & plus(X0,X2) = X1) | ~int_less(X0,X1)))), 2.83/0.73 inference(nnf_transformation,[],[f6])). 2.83/0.74 fof(f6,axiom,( 2.83/0.74 ! [X0,X1] : (int_less(X0,X1) <=> ? [X2] : (int_less(int_zero,X2) & plus(X0,X2) = X1))), 2.83/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_and_inverse)). 2.83/0.74 fof(f97,plain,( 2.83/0.74 ( ! [X10,X8,X9] : (~int_leq(int_one,plus(X10,sK2(X8,X9))) | ~int_leq(int_one,X8) | ~int_leq(X8,X10) | ~int_leq(X10,n) | real_zero = a(X8,X9) | ~int_leq(plus(X10,sK2(X8,X9)),n) | ~int_leq(int_one,X10) | ~int_less(X8,X9)) )), 2.83/0.74 inference(subsumption_resolution,[],[f96,f55])). 2.83/0.74 fof(f55,plain,( 2.83/0.74 ( ! [X0,X1] : (int_less(int_zero,sK2(X0,X1)) | ~int_less(X0,X1)) )), 2.83/0.74 inference(cnf_transformation,[],[f32])). 2.83/0.74 fof(f96,plain,( 2.83/0.74 ( ! [X10,X8,X9] : (real_zero = a(X8,X9) | ~int_leq(int_one,X8) | ~int_leq(X8,X10) | ~int_less(int_zero,sK2(X8,X9)) | ~int_leq(X10,n) | ~int_leq(int_one,plus(X10,sK2(X8,X9))) | ~int_leq(plus(X10,sK2(X8,X9)),n) | ~int_leq(int_one,X10) | ~int_less(X8,X9)) )), 2.83/0.74 inference(superposition,[],[f63,f54])). 2.83/0.74 fof(f63,plain,( 2.83/0.74 ( ! [X4,X0,X5] : (real_zero = a(X5,plus(X5,X4)) | ~int_leq(int_one,X5) | ~int_leq(X5,X0) | ~int_less(int_zero,X4) | ~int_leq(X0,n) | ~int_leq(int_one,plus(X0,X4)) | ~int_leq(plus(X0,X4),n) | ~int_leq(int_one,X0)) )), 2.83/0.74 inference(equality_resolution,[],[f44])). 2.83/0.74 fof(f44,plain,( 2.83/0.74 ( ! [X4,X0,X5,X1] : (real_zero = a(X5,plus(X5,X4)) | ~int_leq(int_one,X5) | ~int_leq(X5,X0) | plus(X0,X4) != X1 | ~int_less(int_zero,X4) | ~int_leq(X0,n) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~int_leq(int_one,X0)) )), 2.83/0.74 inference(cnf_transformation,[],[f20])). 2.83/0.74 fof(f40,plain,( 2.83/0.74 real_zero != a(sK0,sK1) | sK0 = sK1), 2.83/0.74 inference(cnf_transformation,[],[f27])). 2.83/0.74 fof(f2801,plain,( 2.83/0.74 sK0 = sK1 | int_less(sK0,sK1)), 2.83/0.74 inference(duplicate_literal_removal,[],[f2800])). 2.83/0.74 fof(f2800,plain,( 2.83/0.74 sK0 = sK1 | int_less(sK0,sK1) | sK0 = sK1), 2.83/0.74 inference(resolution,[],[f1385,f57])). 2.83/0.74 fof(f57,plain,( 2.83/0.74 ( ! [X0,X1] : (int_less(X0,X1) | X0 = X1 | ~int_leq(X0,X1)) )), 2.83/0.74 inference(cnf_transformation,[],[f34])). 2.83/0.74 fof(f1385,plain,( 2.83/0.74 int_leq(sK0,sK1) | sK0 = sK1), 2.83/0.74 inference(resolution,[],[f841,f52])). 2.83/0.74 fof(f52,plain,( 2.83/0.74 ( ! [X0,X1] : (int_less(X0,X1) | int_leq(X1,X0)) )), 2.83/0.74 inference(cnf_transformation,[],[f13])). 2.83/0.74 fof(f13,axiom,( 2.83/0.74 ! [X0,X1] : (int_less(X0,X1) | int_leq(X1,X0))), 2.83/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_less_total)). 2.83/0.74 fof(f841,plain,( 2.83/0.74 ~int_less(sK1,sK0) | sK0 = sK1), 2.83/0.74 inference(subsumption_resolution,[],[f840,f38])). 2.83/0.74 fof(f840,plain,( 2.83/0.74 sK0 = sK1 | ~int_leq(int_one,sK0) | ~int_less(sK1,sK0)), 2.83/0.74 inference(subsumption_resolution,[],[f839,f37])). 2.83/0.74 fof(f839,plain,( 2.83/0.74 sK0 = sK1 | ~int_leq(sK1,n) | ~int_leq(int_one,sK0) | ~int_less(sK1,sK0)), 2.83/0.74 inference(subsumption_resolution,[],[f838,f35])). 2.83/0.74 fof(f838,plain,( 2.83/0.74 sK0 = sK1 | ~int_leq(sK0,n) | ~int_leq(sK1,n) | ~int_leq(int_one,sK0) | ~int_less(sK1,sK0)), 2.83/0.74 inference(subsumption_resolution,[],[f836,f36])). 2.83/0.74 fof(f836,plain,( 2.83/0.74 sK0 = sK1 | ~int_leq(int_one,sK1) | ~int_leq(sK0,n) | ~int_leq(sK1,n) | ~int_leq(int_one,sK0) | ~int_less(sK1,sK0)), 2.83/0.74 inference(trivial_inequality_removal,[],[f833])). 2.83/0.74 fof(f833,plain,( 2.83/0.74 real_zero != real_zero | sK0 = sK1 | ~int_leq(int_one,sK1) | ~int_leq(sK0,n) | ~int_leq(sK1,n) | ~int_leq(int_one,sK0) | ~int_less(sK1,sK0)), 2.83/0.74 inference(superposition,[],[f40,f211])). 2.83/0.74 fof(f211,plain,( 2.83/0.74 ( ! [X0,X1] : (real_zero = a(X1,X0) | ~int_leq(int_one,X0) | ~int_leq(X1,n) | ~int_leq(X0,n) | ~int_leq(int_one,X1) | ~int_less(X0,X1)) )), 2.83/0.74 inference(subsumption_resolution,[],[f210,f66])). 2.83/0.74 fof(f210,plain,( 2.83/0.74 ( ! [X0,X1] : (~int_leq(int_one,X1) | ~int_leq(int_one,X0) | ~int_leq(X0,X0) | ~int_leq(X1,n) | ~int_leq(X0,n) | real_zero = a(X1,X0) | ~int_less(X0,X1)) )), 2.83/0.74 inference(duplicate_literal_removal,[],[f207])). 2.83/0.74 fof(f207,plain,( 2.83/0.74 ( ! [X0,X1] : (~int_leq(int_one,X1) | ~int_leq(int_one,X0) | ~int_leq(X0,X0) | ~int_leq(X1,n) | ~int_leq(int_one,X0) | ~int_leq(X0,n) | real_zero = a(X1,X0) | ~int_less(X0,X1) | ~int_less(X0,X1)) )), 2.83/0.74 inference(superposition,[],[f92,f54])). 2.83/0.74 fof(f92,plain,( 2.83/0.74 ( ! [X10,X8,X9] : (~int_leq(int_one,plus(X10,sK2(X8,X9))) | ~int_leq(int_one,X8) | ~int_leq(X8,X10) | ~int_leq(plus(X10,sK2(X8,X9)),n) | ~int_leq(int_one,X10) | ~int_leq(X10,n) | real_zero = a(X9,X8) | ~int_less(X8,X9)) )), 2.83/0.74 inference(subsumption_resolution,[],[f91,f55])). 2.83/0.74 fof(f91,plain,( 2.83/0.74 ( ! [X10,X8,X9] : (real_zero = a(X9,X8) | ~int_leq(int_one,X8) | ~int_leq(X8,X10) | ~int_less(int_zero,sK2(X8,X9)) | ~int_leq(plus(X10,sK2(X8,X9)),n) | ~int_leq(int_one,X10) | ~int_leq(X10,n) | ~int_leq(int_one,plus(X10,sK2(X8,X9))) | ~int_less(X8,X9)) )), 2.83/0.74 inference(superposition,[],[f62,f54])). 2.83/0.74 fof(f62,plain,( 2.83/0.74 ( ! [X2,X3,X1] : (real_zero = a(plus(X3,X2),X3) | ~int_leq(int_one,X3) | ~int_leq(X3,X1) | ~int_less(int_zero,X2) | ~int_leq(plus(X1,X2),n) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~int_leq(int_one,plus(X1,X2))) )), 2.83/0.74 inference(equality_resolution,[],[f45])). 2.83/0.74 fof(f45,plain,( 2.83/0.74 ( ! [X2,X0,X3,X1] : (real_zero = a(plus(X3,X2),X3) | ~int_leq(int_one,X3) | ~int_leq(X3,X1) | ~int_less(int_zero,X2) | plus(X1,X2) != X0 | ~int_leq(X0,n) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~int_leq(int_one,X0)) )), 2.83/0.74 inference(cnf_transformation,[],[f20])). 2.83/0.74 fof(f2817,plain,( 2.83/0.74 real_zero = a(sK0,sK0) | sK0 != sK1), 2.83/0.74 inference(backward_demodulation,[],[f41,f2803])). 2.83/0.74 fof(f41,plain,( 2.83/0.74 sK0 != sK1 | real_zero = a(sK0,sK1)), 2.83/0.74 inference(cnf_transformation,[],[f27])). 2.83/0.74 % SZS output end Proof for theBenchmark 2.83/0.74 % (6942)------------------------------ 2.83/0.74 % (6942)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.83/0.74 % (6942)Termination reason: Refutation 2.83/0.74 2.83/0.74 % (6942)Memory used [KB]: 2686 2.83/0.74 % (6942)Time elapsed: 0.330 s 2.83/0.74 % (6942)------------------------------ 2.83/0.74 % (6942)------------------------------ 2.96/0.74 % (6923)Success in time 0.398 s 2.96/0.74 EOF