0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : run_vampire %s %d 0.12/0.33 Computer : n022.cluster.edu 0.12/0.33 Model : x86_64 x86_64 0.12/0.33 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 RAMPerCPU : 8042.1875MB 0.12/0.33 OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 05:04:46 EDT 2022 0.12/0.33 % CPUTime : 0.12/0.34 This is a FOF_ problem 0.12/0.34 Running vampire --ignore_missing on --mode casc --cores 0 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.34 Running in auto input_syntax mode. Trying TPTP 0.12/0.37 % (8833)dis+1011_4_av=off:cond=on:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence:thsq=on_5 on theBenchmark 0.12/0.38 % (8830)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:thsq=on_27 on theBenchmark 0.12/0.39 % (8843)dis+1010_3:1_av=off:gsp=input_only:nm=6:nwc=1:sos=all:sp=occurrence:thsq=on_48 on theBenchmark 0.12/0.39 % (8829)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:thsq=on_7 on theBenchmark 0.12/0.39 % (8827)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:thsq=on_105 on theBenchmark 0.12/0.39 % (8825)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:thsq=on_2 on theBenchmark 0.12/0.39 % (8844)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:thsq=on_220 on theBenchmark 0.12/0.39 % (8836)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:thsq=on_48 on theBenchmark 0.12/0.39 % (8835)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:thsq=on_42 on theBenchmark 0.12/0.40 % (8828)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:thsq=on_92 on theBenchmark 0.19/0.41 % (8826)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:thsq=on_6 on theBenchmark 0.19/0.41 % (8848)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:thsq=on_104 on theBenchmark 0.19/0.41 % (8847)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:thsq=on_285 on theBenchmark 0.19/0.41 % (8850)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:thsq=on_364 on theBenchmark 0.19/0.41 % (8842)WARNING: value z3 for option sas not known 0.19/0.42 % (8840)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:thsq=on_162 on theBenchmark 0.19/0.42 % (8839)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:thsq=on_2 on theBenchmark 0.19/0.42 % (8842)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:thsq=on_145 on theBenchmark 0.19/0.42 % (8849)WARNING: value z3 for option sas not known 0.19/0.42 % (8849)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:thsq=on_288 on theBenchmark 0.19/0.42 % (8845)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:thsq=on_34 on theBenchmark 0.19/0.42 % (8832)lrs+4_3_av=off:br=off:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on:thsq=on_32 on theBenchmark 0.19/0.42 % (8831)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:thsq=on_3 on theBenchmark 0.19/0.43 % (8846)dis+11_1024_av=off:bd=off:bs=on:cond=on:gs=on:lma=on:nm=16:nwc=1:sp=occurrence:updr=off:thsq=on_98 on theBenchmark 0.19/0.43 % (8834)WARNING: value z3 for option sas not known 0.19/0.43 % (8837)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:thsq=on_197 on theBenchmark 0.19/0.43 % (8834)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:thsq=on_85 on theBenchmark 0.19/0.43 % (8841)lrs+4_5:4_av=off:bd=off:er=filter:lma=on:lwlo=on:nwc=1:stl=30:sp=occurrence:updr=off:thsq=on_230 on theBenchmark 0.19/0.44 % (8838)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:thsq=on_2 on theBenchmark 0.19/0.47 % (8835)First to succeed. 0.19/0.49 % (8834)Also succeeded, but the first one will report. 0.19/0.50 % (8835)Refutation found. Thanks to Tanya! 0.19/0.50 % SZS status Theorem for theBenchmark 0.19/0.50 % SZS output start Proof for theBenchmark 0.19/0.50 fof(f968,plain,( 0.19/0.50 $false), 0.19/0.50 inference(avatar_sat_refutation,[],[f106,f115,f116,f123,f136,f303,f842,f864,f878,f967])). 0.19/0.50 fof(f967,plain,( 0.19/0.50 spl3_4 | ~spl3_6), 0.19/0.50 inference(avatar_contradiction_clause,[],[f966])). 0.19/0.50 fof(f966,plain,( 0.19/0.50 $false | (spl3_4 | ~spl3_6)), 0.19/0.50 inference(global_subsumption,[],[f951,f93])). 0.19/0.50 fof(f93,plain,( 0.19/0.50 real_zero != a(sK0,sK1) | spl3_4), 0.19/0.50 inference(avatar_component_clause,[],[f91])). 0.19/0.50 fof(f91,plain,( 0.19/0.50 spl3_4 <=> real_zero = a(sK0,sK1)), 0.19/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_4])])). 0.19/0.50 fof(f951,plain,( 0.19/0.50 real_zero = a(sK0,sK1) | ~spl3_6), 0.19/0.50 inference(subsumption_resolution,[],[f950,f40])). 0.19/0.50 fof(f40,plain,( 0.19/0.50 int_leq(int_one,sK0)), 0.19/0.50 inference(cnf_transformation,[],[f29])). 0.19/0.50 fof(f29,plain,( 0.19/0.50 ((real_zero != a(sK0,sK1) & int_less(sK0,sK1)) | (real_zero != a(sK0,sK1) & int_less(sK1,sK0)) | (real_one != a(sK0,sK1) & sK0 = sK1)) & int_leq(int_one,sK0) & int_leq(sK0,n) & int_leq(sK1,n) & int_leq(int_one,sK1)), 0.19/0.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f20,f28])). 0.19/0.50 fof(f28,plain,( 0.19/0.50 ? [X0,X1] : (((a(X0,X1) != real_zero & int_less(X0,X1)) | (a(X0,X1) != real_zero & int_less(X1,X0)) | (a(X0,X1) != real_one & X0 = X1)) & int_leq(int_one,X0) & int_leq(X0,n) & int_leq(X1,n) & int_leq(int_one,X1)) => (((real_zero != a(sK0,sK1) & int_less(sK0,sK1)) | (real_zero != a(sK0,sK1) & int_less(sK1,sK0)) | (real_one != a(sK0,sK1) & sK0 = sK1)) & int_leq(int_one,sK0) & int_leq(sK0,n) & int_leq(sK1,n) & int_leq(int_one,sK1))), 0.19/0.50 introduced(choice_axiom,[])). 0.19/0.50 fof(f20,plain,( 0.19/0.50 ? [X0,X1] : (((a(X0,X1) != real_zero & int_less(X0,X1)) | (a(X0,X1) != real_zero & int_less(X1,X0)) | (a(X0,X1) != real_one & X0 = X1)) & int_leq(int_one,X0) & int_leq(X0,n) & int_leq(X1,n) & int_leq(int_one,X1))), 0.19/0.50 inference(flattening,[],[f19])). 0.19/0.50 fof(f19,plain,( 0.19/0.50 ? [X0,X1] : (((a(X0,X1) != real_zero & int_less(X0,X1)) | (a(X0,X1) != real_zero & int_less(X1,X0)) | (a(X0,X1) != real_one & X0 = X1)) & (int_leq(int_one,X0) & int_leq(X0,n) & int_leq(X1,n) & int_leq(int_one,X1)))), 0.19/0.50 inference(ennf_transformation,[],[f8])). 0.19/0.50 fof(f8,negated_conjecture,( 0.19/0.50 ~! [X0,X1] : ((int_leq(int_one,X0) & int_leq(X0,n) & int_leq(X1,n) & int_leq(int_one,X1)) => ((int_less(X0,X1) => a(X0,X1) = real_zero) & (int_less(X1,X0) => a(X0,X1) = real_zero) & (X0 = X1 => a(X0,X1) = real_one)))), 0.19/0.50 inference(negated_conjecture,[],[f7])). 0.19/0.50 fof(f7,conjecture,( 0.19/0.50 ! [X0,X1] : ((int_leq(int_one,X0) & int_leq(X0,n) & int_leq(X1,n) & int_leq(int_one,X1)) => ((int_less(X0,X1) => a(X0,X1) = real_zero) & (int_less(X1,X0) => a(X0,X1) = real_zero) & (X0 = X1 => a(X0,X1) = real_one)))), 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diag)). 0.19/0.50 fof(f950,plain,( 0.19/0.50 real_zero = a(sK0,sK1) | ~int_leq(int_one,sK0) | ~spl3_6), 0.19/0.50 inference(subsumption_resolution,[],[f949,f37])). 0.19/0.50 fof(f37,plain,( 0.19/0.50 int_leq(int_one,sK1)), 0.19/0.50 inference(cnf_transformation,[],[f29])). 0.19/0.50 fof(f949,plain,( 0.19/0.50 ~int_leq(int_one,sK1) | real_zero = a(sK0,sK1) | ~int_leq(int_one,sK0) | ~spl3_6), 0.19/0.50 inference(subsumption_resolution,[],[f948,f39])). 0.19/0.50 fof(f39,plain,( 0.19/0.50 int_leq(sK0,n)), 0.19/0.50 inference(cnf_transformation,[],[f29])). 0.19/0.50 fof(f948,plain,( 0.19/0.50 ~int_leq(sK0,n) | ~int_leq(int_one,sK1) | real_zero = a(sK0,sK1) | ~int_leq(int_one,sK0) | ~spl3_6), 0.19/0.50 inference(subsumption_resolution,[],[f947,f885])). 0.19/0.50 fof(f885,plain,( 0.19/0.50 int_less(int_zero,sK2(sK0,sK1)) | ~spl3_6), 0.19/0.50 inference(resolution,[],[f114,f65])). 0.19/0.50 fof(f65,plain,( 0.19/0.50 ( ! [X0 : $i,X1 : $i] : (~int_less(X0,X1) | int_less(int_zero,sK2(X0,X1))) )), 0.19/0.50 inference(cnf_transformation,[],[f36])). 0.19/0.50 fof(f36,plain,( 0.19/0.50 ! [X0,X1] : (((int_less(int_zero,sK2(X0,X1)) & plus(X0,sK2(X0,X1)) = X1) | ~int_less(X0,X1)) & (int_less(X0,X1) | ! [X3] : (~int_less(int_zero,X3) | plus(X0,X3) != X1)))), 0.19/0.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f34,f35])). 0.19/0.50 fof(f35,plain,( 0.19/0.50 ! [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))), 0.19/0.50 introduced(choice_axiom,[])). 0.19/0.50 fof(f34,plain,( 0.19/0.50 ! [X0,X1] : ((? [X2] : (int_less(int_zero,X2) & plus(X0,X2) = X1) | ~int_less(X0,X1)) & (int_less(X0,X1) | ! [X3] : (~int_less(int_zero,X3) | plus(X0,X3) != X1)))), 0.19/0.50 inference(rectify,[],[f33])). 0.19/0.50 fof(f33,plain,( 0.19/0.50 ! [X0,X1] : ((? [X2] : (int_less(int_zero,X2) & plus(X0,X2) = X1) | ~int_less(X0,X1)) & (int_less(X0,X1) | ! [X2] : (~int_less(int_zero,X2) | plus(X0,X2) != X1)))), 0.19/0.50 inference(nnf_transformation,[],[f16])). 0.19/0.50 fof(f16,plain,( 0.19/0.50 ! [X0,X1] : (? [X2] : (int_less(int_zero,X2) & plus(X0,X2) = X1) <=> int_less(X0,X1))), 0.19/0.50 inference(rectify,[],[f5])). 0.19/0.50 fof(f5,axiom,( 0.19/0.50 ! [X0,X1] : (? [X6] : (int_less(int_zero,X6) & plus(X0,X6) = X1) <=> int_less(X0,X1))), 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_and_inverse)). 0.19/0.50 fof(f114,plain,( 0.19/0.50 int_less(sK0,sK1) | ~spl3_6), 0.19/0.50 inference(avatar_component_clause,[],[f112])). 0.19/0.50 fof(f112,plain,( 0.19/0.50 spl3_6 <=> int_less(sK0,sK1)), 0.19/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_6])])). 0.19/0.50 fof(f947,plain,( 0.19/0.50 ~int_less(int_zero,sK2(sK0,sK1)) | ~int_leq(sK0,n) | ~int_leq(int_one,sK1) | real_zero = a(sK0,sK1) | ~int_leq(int_one,sK0) | ~spl3_6), 0.19/0.50 inference(subsumption_resolution,[],[f946,f71])). 0.19/0.50 fof(f71,plain,( 0.19/0.50 ( ! [X1 : $i] : (int_leq(X1,X1)) )), 0.19/0.50 inference(equality_resolution,[],[f60])). 0.19/0.50 fof(f60,plain,( 0.19/0.50 ( ! [X0 : $i,X1 : $i] : (int_leq(X0,X1) | X0 != X1) )), 0.19/0.50 inference(cnf_transformation,[],[f32])). 0.19/0.50 fof(f32,plain,( 0.19/0.50 ! [X0,X1] : ((int_less(X0,X1) | X0 = X1 | ~int_leq(X0,X1)) & (int_leq(X0,X1) | (~int_less(X0,X1) & X0 != X1)))), 0.19/0.50 inference(flattening,[],[f31])). 0.19/0.50 fof(f31,plain,( 0.19/0.50 ! [X0,X1] : (((int_less(X0,X1) | X0 = X1) | ~int_leq(X0,X1)) & (int_leq(X0,X1) | (~int_less(X0,X1) & X0 != X1)))), 0.19/0.50 inference(nnf_transformation,[],[f10])). 0.19/0.50 fof(f10,axiom,( 0.19/0.50 ! [X0,X1] : ((int_less(X0,X1) | X0 = X1) <=> int_leq(X0,X1))), 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_leq)). 0.19/0.50 fof(f946,plain,( 0.19/0.50 ~int_leq(sK0,sK0) | ~int_less(int_zero,sK2(sK0,sK1)) | ~int_leq(sK0,n) | ~int_leq(int_one,sK1) | real_zero = a(sK0,sK1) | ~int_leq(int_one,sK0) | ~spl3_6), 0.19/0.50 inference(subsumption_resolution,[],[f931,f38])). 0.19/0.50 fof(f38,plain,( 0.19/0.50 int_leq(sK1,n)), 0.19/0.50 inference(cnf_transformation,[],[f29])). 0.19/0.50 fof(f931,plain,( 0.19/0.50 ~int_leq(sK1,n) | ~int_leq(sK0,sK0) | ~int_less(int_zero,sK2(sK0,sK1)) | ~int_leq(sK0,n) | ~int_leq(int_one,sK1) | real_zero = a(sK0,sK1) | ~int_leq(int_one,sK0) | ~spl3_6), 0.19/0.50 inference(superposition,[],[f234,f884])). 0.19/0.50 fof(f884,plain,( 0.19/0.50 sK1 = plus(sK0,sK2(sK0,sK1)) | ~spl3_6), 0.19/0.50 inference(resolution,[],[f114,f64])). 0.19/0.50 fof(f64,plain,( 0.19/0.50 ( ! [X0 : $i,X1 : $i] : (~int_less(X0,X1) | plus(X0,sK2(X0,X1)) = X1) )), 0.19/0.50 inference(cnf_transformation,[],[f36])). 0.19/0.50 fof(f234,plain,( 0.19/0.50 ( ! [X2 : $i,X3 : $i] : (~int_leq(plus(X3,X2),n) | ~int_leq(sK0,X3) | ~int_less(int_zero,X2) | ~int_leq(X3,n) | ~int_leq(int_one,plus(X3,X2)) | real_zero = a(sK0,plus(sK0,X2)) | ~int_leq(int_one,X3)) )), 0.19/0.50 inference(resolution,[],[f68,f40])). 0.19/0.50 fof(f68,plain,( 0.19/0.50 ( ! [X2 : $i,X0 : $i,X3 : $i] : (~int_leq(int_one,X3) | real_zero = a(X3,plus(X3,X2)) | ~int_leq(X3,X0) | ~int_less(int_zero,X2) | ~int_leq(X0,n) | ~int_leq(int_one,plus(X0,X2)) | ~int_leq(plus(X0,X2),n) | ~int_leq(int_one,X0)) )), 0.19/0.50 inference(equality_resolution,[],[f51])). 0.19/0.50 fof(f51,plain,( 0.19/0.50 ( ! [X2 : $i,X0 : $i,X3 : $i,X1 : $i] : (real_zero = a(X3,plus(X3,X2)) | ~int_leq(int_one,X3) | ~int_leq(X3,X0) | plus(X0,X2) != X1 | ~int_less(int_zero,X2) | ~int_leq(X0,n) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~int_leq(int_one,X0)) )), 0.19/0.50 inference(cnf_transformation,[],[f22])). 0.19/0.50 fof(f22,plain,( 0.19/0.50 ! [X0,X1] : ((! [X2] : (! [X3] : (real_zero = a(X3,plus(X3,X2)) | ~int_leq(int_one,X3) | ~int_leq(X3,X0)) | plus(X0,X2) != X1 | ~int_less(int_zero,X2)) & ! [X4] : (real_one = a(X4,X4) | ~int_leq(int_one,X4) | ~int_leq(X4,X1)) & ! [X5] : (! [X6] : (real_zero = a(plus(X6,X5),X6) | ~int_leq(X6,X1) | ~int_leq(int_one,X6)) | ~int_less(int_zero,X5) | plus(X1,X5) != X0)) | ~int_leq(X0,n) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~int_leq(int_one,X0))), 0.19/0.50 inference(flattening,[],[f21])). 0.19/0.50 fof(f21,plain,( 0.19/0.50 ! [X0,X1] : ((! [X2] : (! [X3] : (real_zero = a(X3,plus(X3,X2)) | (~int_leq(int_one,X3) | ~int_leq(X3,X0))) | (plus(X0,X2) != X1 | ~int_less(int_zero,X2))) & ! [X4] : (real_one = a(X4,X4) | (~int_leq(int_one,X4) | ~int_leq(X4,X1))) & ! [X5] : (! [X6] : (real_zero = a(plus(X6,X5),X6) | (~int_leq(X6,X1) | ~int_leq(int_one,X6))) | (~int_less(int_zero,X5) | plus(X1,X5) != X0))) | (~int_leq(X0,n) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~int_leq(int_one,X0)))), 0.19/0.50 inference(ennf_transformation,[],[f15])). 0.19/0.50 fof(f15,plain,( 0.19/0.50 ! [X0,X1] : ((int_leq(X0,n) & int_leq(int_one,X1) & int_leq(X1,n) & int_leq(int_one,X0)) => (! [X2] : ((plus(X0,X2) = X1 & int_less(int_zero,X2)) => ! [X3] : ((int_leq(int_one,X3) & int_leq(X3,X0)) => real_zero = a(X3,plus(X3,X2)))) & ! [X4] : ((int_leq(int_one,X4) & int_leq(X4,X1)) => real_one = a(X4,X4)) & ! [X5] : ((int_less(int_zero,X5) & plus(X1,X5) = X0) => ! [X6] : ((int_leq(X6,X1) & int_leq(int_one,X6)) => real_zero = a(plus(X6,X5),X6)))))), 0.19/0.50 inference(rectify,[],[f9])). 0.19/0.50 fof(f9,axiom,( 0.19/0.50 ! [X0,X1] : ((int_leq(X0,n) & int_leq(int_one,X1) & int_leq(X1,n) & int_leq(int_one,X0)) => (! [X7] : ((plus(X0,X7) = X1 & int_less(int_zero,X7)) => ! [X6] : ((int_leq(int_one,X6) & int_leq(X6,X0)) => real_zero = a(X6,plus(X6,X7)))) & ! [X6] : ((int_leq(int_one,X6) & int_leq(X6,X1)) => real_one = a(X6,X6)) & ! [X7] : ((int_less(int_zero,X7) & plus(X1,X7) = X0) => ! [X6] : ((int_leq(X6,X1) & int_leq(int_one,X6)) => real_zero = a(plus(X6,X7),X6)))))), 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qih)). 0.19/0.50 fof(f878,plain,( 0.19/0.50 ~spl3_3 | ~spl3_6), 0.19/0.50 inference(avatar_contradiction_clause,[],[f877])). 0.19/0.50 fof(f877,plain,( 0.19/0.50 $false | (~spl3_3 | ~spl3_6)), 0.19/0.50 inference(subsumption_resolution,[],[f876,f70])). 0.19/0.50 fof(f70,plain,( 0.19/0.50 ( ! [X1 : $i] : (~int_less(X1,X1)) )), 0.19/0.50 inference(equality_resolution,[],[f59])). 0.19/0.50 fof(f59,plain,( 0.19/0.50 ( ! [X0 : $i,X1 : $i] : (X0 != X1 | ~int_less(X0,X1)) )), 0.19/0.50 inference(cnf_transformation,[],[f23])). 0.19/0.50 fof(f23,plain,( 0.19/0.50 ! [X0,X1] : (X0 != X1 | ~int_less(X0,X1))), 0.19/0.50 inference(ennf_transformation,[],[f11])). 0.19/0.50 fof(f11,axiom,( 0.19/0.50 ! [X0,X1] : (int_less(X0,X1) => X0 != X1)), 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_less_irreflexive)). 0.19/0.50 fof(f876,plain,( 0.19/0.50 int_less(sK0,sK0) | (~spl3_3 | ~spl3_6)), 0.19/0.50 inference(forward_demodulation,[],[f114,f89])). 0.19/0.50 fof(f89,plain,( 0.19/0.50 sK0 = sK1 | ~spl3_3), 0.19/0.50 inference(avatar_component_clause,[],[f87])). 0.19/0.50 fof(f87,plain,( 0.19/0.50 spl3_3 <=> sK0 = sK1), 0.19/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_3])])). 0.19/0.50 fof(f864,plain,( 0.19/0.50 ~spl3_3 | ~spl3_5), 0.19/0.50 inference(avatar_contradiction_clause,[],[f863])). 0.19/0.50 fof(f863,plain,( 0.19/0.50 $false | (~spl3_3 | ~spl3_5)), 0.19/0.50 inference(subsumption_resolution,[],[f848,f70])). 0.19/0.50 fof(f848,plain,( 0.19/0.50 int_less(sK0,sK0) | (~spl3_3 | ~spl3_5)), 0.19/0.50 inference(superposition,[],[f110,f89])). 0.19/0.50 fof(f110,plain,( 0.19/0.50 int_less(sK1,sK0) | ~spl3_5), 0.19/0.50 inference(avatar_component_clause,[],[f108])). 0.19/0.50 fof(f108,plain,( 0.19/0.50 spl3_5 <=> int_less(sK1,sK0)), 0.19/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_5])])). 0.19/0.50 fof(f842,plain,( 0.19/0.50 spl3_4 | ~spl3_5), 0.19/0.50 inference(avatar_contradiction_clause,[],[f841])). 0.19/0.50 fof(f841,plain,( 0.19/0.50 $false | (spl3_4 | ~spl3_5)), 0.19/0.50 inference(subsumption_resolution,[],[f840,f40])). 0.19/0.50 fof(f840,plain,( 0.19/0.50 ~int_leq(int_one,sK0) | (spl3_4 | ~spl3_5)), 0.19/0.50 inference(subsumption_resolution,[],[f839,f38])). 0.19/0.50 fof(f839,plain,( 0.19/0.50 ~int_leq(sK1,n) | ~int_leq(int_one,sK0) | (spl3_4 | ~spl3_5)), 0.19/0.50 inference(subsumption_resolution,[],[f838,f93])). 0.19/0.50 fof(f838,plain,( 0.19/0.50 real_zero = a(sK0,sK1) | ~int_leq(sK1,n) | ~int_leq(int_one,sK0) | ~spl3_5), 0.19/0.50 inference(subsumption_resolution,[],[f837,f329])). 0.19/0.50 fof(f329,plain,( 0.19/0.50 int_less(int_zero,sK2(sK1,sK0)) | ~spl3_5), 0.19/0.50 inference(resolution,[],[f110,f65])). 0.19/0.50 fof(f837,plain,( 0.19/0.50 ~int_less(int_zero,sK2(sK1,sK0)) | real_zero = a(sK0,sK1) | ~int_leq(sK1,n) | ~int_leq(int_one,sK0) | ~spl3_5), 0.19/0.50 inference(subsumption_resolution,[],[f836,f37])). 0.19/0.50 fof(f836,plain,( 0.19/0.50 ~int_leq(int_one,sK1) | ~int_less(int_zero,sK2(sK1,sK0)) | real_zero = a(sK0,sK1) | ~int_leq(sK1,n) | ~int_leq(int_one,sK0) | ~spl3_5), 0.19/0.50 inference(subsumption_resolution,[],[f832,f39])). 0.19/0.50 fof(f832,plain,( 0.19/0.50 ~int_leq(sK0,n) | ~int_leq(int_one,sK1) | ~int_less(int_zero,sK2(sK1,sK0)) | real_zero = a(sK0,sK1) | ~int_leq(sK1,n) | ~int_leq(int_one,sK0) | ~spl3_5), 0.19/0.50 inference(superposition,[],[f250,f327])). 0.19/0.50 fof(f327,plain,( 0.19/0.50 sK0 = plus(sK1,sK2(sK1,sK0)) | ~spl3_5), 0.19/0.50 inference(resolution,[],[f110,f64])). 0.19/0.50 fof(f250,plain,( 0.19/0.50 ( ! [X0 : $i,X1 : $i] : (~int_leq(plus(X0,X1),n) | ~int_leq(int_one,X0) | ~int_less(int_zero,X1) | real_zero = a(plus(X0,X1),X0) | ~int_leq(X0,n) | ~int_leq(int_one,plus(X0,X1))) )), 0.19/0.50 inference(duplicate_literal_removal,[],[f244])). 0.19/0.50 fof(f244,plain,( 0.19/0.50 ( ! [X0 : $i,X1 : $i] : (real_zero = a(plus(X0,X1),X0) | ~int_leq(int_one,X0) | ~int_less(int_zero,X1) | ~int_leq(plus(X0,X1),n) | ~int_leq(int_one,X0) | ~int_leq(X0,n) | ~int_leq(int_one,plus(X0,X1))) )), 0.19/0.50 inference(resolution,[],[f69,f71])). 0.19/0.50 fof(f69,plain,( 0.19/0.50 ( ! [X6 : $i,X5 : $i,X1 : $i] : (~int_leq(X6,X1) | real_zero = a(plus(X6,X5),X6) | ~int_leq(int_one,X6) | ~int_less(int_zero,X5) | ~int_leq(plus(X1,X5),n) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~int_leq(int_one,plus(X1,X5))) )), 0.19/0.50 inference(equality_resolution,[],[f49])). 0.19/0.50 fof(f49,plain,( 0.19/0.50 ( ! [X6 : $i,X0 : $i,X5 : $i,X1 : $i] : (real_zero = a(plus(X6,X5),X6) | ~int_leq(X6,X1) | ~int_leq(int_one,X6) | ~int_less(int_zero,X5) | plus(X1,X5) != X0 | ~int_leq(X0,n) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~int_leq(int_one,X0)) )), 0.19/0.50 inference(cnf_transformation,[],[f22])). 0.19/0.50 fof(f303,plain,( 0.19/0.50 spl3_2 | ~spl3_3 | ~spl3_8), 0.19/0.50 inference(avatar_contradiction_clause,[],[f302])). 0.19/0.50 fof(f302,plain,( 0.19/0.50 $false | (spl3_2 | ~spl3_3 | ~spl3_8)), 0.19/0.50 inference(subsumption_resolution,[],[f301,f40])). 0.19/0.50 fof(f301,plain,( 0.19/0.50 ~int_leq(int_one,sK0) | (spl3_2 | ~spl3_3 | ~spl3_8)), 0.19/0.50 inference(subsumption_resolution,[],[f297,f124])). 0.19/0.50 fof(f124,plain,( 0.19/0.50 real_one != a(sK0,sK0) | (spl3_2 | ~spl3_3)), 0.19/0.50 inference(forward_demodulation,[],[f84,f89])). 0.19/0.50 fof(f84,plain,( 0.19/0.50 real_one != a(sK0,sK1) | spl3_2), 0.19/0.50 inference(avatar_component_clause,[],[f82])). 0.19/0.50 fof(f82,plain,( 0.19/0.50 spl3_2 <=> real_one = a(sK0,sK1)), 0.19/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_2])])). 0.19/0.50 fof(f297,plain,( 0.19/0.50 real_one = a(sK0,sK0) | ~int_leq(int_one,sK0) | (~spl3_3 | ~spl3_8)), 0.19/0.50 inference(resolution,[],[f217,f71])). 0.19/0.50 fof(f217,plain,( 0.19/0.50 ( ! [X4 : $i] : (~int_leq(X4,sK0) | real_one = a(X4,X4) | ~int_leq(int_one,X4)) ) | (~spl3_3 | ~spl3_8)), 0.19/0.50 inference(forward_demodulation,[],[f216,f89])). 0.19/0.50 fof(f216,plain,( 0.19/0.50 ( ! [X4 : $i] : (~int_leq(X4,sK1) | real_one = a(X4,X4) | ~int_leq(int_one,X4)) ) | ~spl3_8), 0.19/0.50 inference(subsumption_resolution,[],[f205,f37])). 0.19/0.50 fof(f205,plain,( 0.19/0.50 ( ! [X4 : $i] : (real_one = a(X4,X4) | ~int_leq(int_one,sK1) | ~int_leq(X4,sK1) | ~int_leq(int_one,X4)) ) | ~spl3_8), 0.19/0.50 inference(resolution,[],[f122,f38])). 0.19/0.50 fof(f122,plain,( 0.19/0.50 ( ! [X4 : $i,X1 : $i] : (~int_leq(X1,n) | real_one = a(X4,X4) | ~int_leq(int_one,X1) | ~int_leq(X4,X1) | ~int_leq(int_one,X4)) ) | ~spl3_8), 0.19/0.50 inference(avatar_component_clause,[],[f121])). 0.19/0.50 fof(f121,plain,( 0.19/0.50 spl3_8 <=> ! [X1,X4] : (real_one = a(X4,X4) | ~int_leq(X1,n) | ~int_leq(int_one,X1) | ~int_leq(X4,X1) | ~int_leq(int_one,X4))), 0.19/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_8])])). 0.19/0.50 fof(f136,plain,( 0.19/0.50 ~spl3_7), 0.19/0.50 inference(avatar_contradiction_clause,[],[f135])). 0.19/0.50 fof(f135,plain,( 0.19/0.50 $false | ~spl3_7), 0.19/0.50 inference(subsumption_resolution,[],[f132,f37])). 0.19/0.50 fof(f132,plain,( 0.19/0.50 ~int_leq(int_one,sK1) | ~spl3_7), 0.19/0.50 inference(resolution,[],[f119,f38])). 0.19/0.50 fof(f119,plain,( 0.19/0.50 ( ! [X0 : $i] : (~int_leq(X0,n) | ~int_leq(int_one,X0)) ) | ~spl3_7), 0.19/0.50 inference(avatar_component_clause,[],[f118])). 0.19/0.50 fof(f118,plain,( 0.19/0.50 spl3_7 <=> ! [X0] : (~int_leq(X0,n) | ~int_leq(int_one,X0))), 0.19/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_7])])). 0.19/0.50 fof(f123,plain,( 0.19/0.50 spl3_7 | spl3_8), 0.19/0.50 inference(avatar_split_clause,[],[f50,f121,f118])). 0.19/0.50 fof(f50,plain,( 0.19/0.50 ( ! [X4 : $i,X0 : $i,X1 : $i] : (real_one = a(X4,X4) | ~int_leq(int_one,X4) | ~int_leq(X4,X1) | ~int_leq(X0,n) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~int_leq(int_one,X0)) )), 0.19/0.50 inference(cnf_transformation,[],[f22])). 0.19/0.50 fof(f116,plain,( 0.19/0.50 spl3_3 | spl3_5 | spl3_6), 0.19/0.50 inference(avatar_split_clause,[],[f41,f112,f108,f87])). 0.19/0.50 fof(f41,plain,( 0.19/0.50 int_less(sK0,sK1) | int_less(sK1,sK0) | sK0 = sK1), 0.19/0.50 inference(cnf_transformation,[],[f29])). 0.19/0.50 fof(f115,plain,( 0.19/0.50 ~spl3_2 | spl3_5 | spl3_6), 0.19/0.50 inference(avatar_split_clause,[],[f42,f112,f108,f82])). 0.19/0.50 fof(f42,plain,( 0.19/0.50 int_less(sK0,sK1) | int_less(sK1,sK0) | real_one != a(sK0,sK1)), 0.19/0.50 inference(cnf_transformation,[],[f29])). 0.19/0.50 fof(f106,plain,( 0.19/0.50 spl3_3 | ~spl3_4), 0.19/0.50 inference(avatar_split_clause,[],[f105,f91,f87])). 0.19/0.50 fof(f105,plain,( 0.19/0.50 real_zero != a(sK0,sK1) | sK0 = sK1), 0.19/0.50 inference(global_subsumption,[],[f99])). 0.19/0.50 fof(f99,plain,( 0.19/0.50 real_zero != a(sK0,sK1) | sK0 = sK1), 0.19/0.50 inference(global_subsumption,[],[f73])). 0.19/0.50 fof(f73,plain,( 0.19/0.50 real_zero != a(sK0,sK1) | sK0 = sK1), 0.19/0.50 inference(duplicate_literal_removal,[],[f47])). 0.19/0.50 fof(f47,plain,( 0.19/0.50 real_zero != a(sK0,sK1) | real_zero != a(sK0,sK1) | sK0 = sK1), 0.19/0.50 inference(cnf_transformation,[],[f29])). 0.19/0.50 % SZS output end Proof for theBenchmark 0.19/0.50 % (8835)------------------------------ 0.19/0.50 % (8835)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.19/0.50 % (8835)Termination reason: Refutation 0.19/0.50 0.19/0.50 % (8835)Memory used [KB]: 11641 0.19/0.50 % (8835)Time elapsed: 0.104 s 0.19/0.50 % (8835)------------------------------ 0.19/0.50 % (8835)------------------------------ 0.19/0.50 % (8824)Success in time 0.154 s 0.19/0.50 EOF