0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : run_vampire %s %d 0.12/0.33 Computer : n029.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 05:00:09 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 % (32663)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 0.12/0.38 % (32669)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 0.12/0.38 % (32667)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 % (32666)lrs+4_3_av=off:br=off:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on:thsq=on_32 on theBenchmark 0.12/0.38 % (32670)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 0.12/0.38 % (32662)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 0.12/0.38 % (32661)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 0.12/0.38 % (32664)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 0.12/0.38 % (32665)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 0.12/0.39 % (32682)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 0.12/0.39 % (32659)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 % (32673)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 0.12/0.39 % (32683)WARNING: value z3 for option sas not known 0.19/0.39 % (32672)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 0.19/0.40 % (32680)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 0.19/0.40 % (32675)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 0.19/0.40 % (32683)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 0.19/0.40 % (32681)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 0.19/0.40 % (32676)WARNING: value z3 for option sas not known 0.19/0.40 % (32674)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 0.19/0.40 % (32684)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 % (32676)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 0.19/0.41 % (32678)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 0.19/0.41 % (32668)WARNING: value z3 for option sas not known 0.19/0.41 % (32677)dis+1010_3:1_av=off:gsp=input_only:nm=6:nwc=1:sos=all:sp=occurrence:thsq=on_48 on theBenchmark 0.19/0.41 % (32668)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 0.19/0.42 % (32677)First to succeed. 0.19/0.43 % (32679)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 0.19/0.43 % (32660)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 0.19/0.44 % (32671)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 0.19/0.45 % (32677)Refutation found. Thanks to Tanya! 0.19/0.45 % SZS status Theorem for theBenchmark 0.19/0.45 % SZS output start Proof for theBenchmark 0.19/0.45 fof(f336,plain,( 0.19/0.45 $false), 0.19/0.45 inference(subsumption_resolution,[],[f316,f245])). 0.19/0.45 fof(f245,plain,( 0.19/0.45 ~int_less(sK1,n)), 0.19/0.45 inference(resolution,[],[f244,f59])). 0.19/0.45 fof(f59,plain,( 0.19/0.45 ( ! [X0 : $i,X1 : $i] : (int_leq(X0,X1) | ~int_less(X0,X1)) )), 0.19/0.45 inference(cnf_transformation,[],[f38])). 0.19/0.45 fof(f38,plain,( 0.19/0.45 ! [X0,X1] : ((int_less(X0,X1) | X0 = X1 | ~int_leq(X0,X1)) & (int_leq(X0,X1) | (~int_less(X0,X1) & X0 != X1)))), 0.19/0.45 inference(flattening,[],[f37])). 0.19/0.45 fof(f37,plain,( 0.19/0.45 ! [X0,X1] : (((int_less(X0,X1) | X0 = X1) | ~int_leq(X0,X1)) & (int_leq(X0,X1) | (~int_less(X0,X1) & X0 != X1)))), 0.19/0.45 inference(nnf_transformation,[],[f22])). 0.19/0.45 fof(f22,plain,( 0.19/0.45 ! [X0,X1] : ((int_less(X0,X1) | X0 = X1) <=> int_leq(X0,X1))), 0.19/0.45 inference(rectify,[],[f6])). 0.19/0.45 fof(f6,axiom,( 0.19/0.45 ! [X4,X5] : ((int_less(X4,X5) | X4 = X5) <=> int_leq(X4,X5))), 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_leq)). 0.19/0.45 fof(f244,plain,( 0.19/0.45 ~int_leq(sK1,n)), 0.19/0.45 inference(subsumption_resolution,[],[f243,f43])). 0.19/0.45 fof(f43,plain,( 0.19/0.45 int_less(sK1,sK0)), 0.19/0.45 inference(cnf_transformation,[],[f35])). 0.19/0.45 fof(f35,plain,( 0.19/0.45 real_zero != a(sK0,sK1) & int_leq(int_one,sK1) & int_leq(sK0,n) & int_less(sK1,sK0)), 0.19/0.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f34])). 0.19/0.45 fof(f34,plain,( 0.19/0.45 ? [X0,X1] : (real_zero != a(X0,X1) & int_leq(int_one,X1) & int_leq(X0,n) & int_less(X1,X0)) => (real_zero != a(sK0,sK1) & int_leq(int_one,sK1) & int_leq(sK0,n) & int_less(sK1,sK0))), 0.19/0.45 introduced(choice_axiom,[])). 0.19/0.45 fof(f26,plain,( 0.19/0.45 ? [X0,X1] : (real_zero != a(X0,X1) & int_leq(int_one,X1) & int_leq(X0,n) & int_less(X1,X0))), 0.19/0.45 inference(flattening,[],[f25])). 0.19/0.45 fof(f25,plain,( 0.19/0.45 ? [X0,X1] : (real_zero != a(X0,X1) & (int_leq(int_one,X1) & int_leq(X0,n) & int_less(X1,X0)))), 0.19/0.45 inference(ennf_transformation,[],[f15])). 0.19/0.45 fof(f15,plain,( 0.19/0.45 ~! [X0,X1] : ((int_leq(int_one,X1) & int_leq(X0,n) & int_less(X1,X0)) => real_zero = a(X0,X1))), 0.19/0.45 inference(rectify,[],[f5])). 0.19/0.45 fof(f5,negated_conjecture,( 0.19/0.45 ~! [X4,X5] : ((int_leq(int_one,X5) & int_leq(X4,n) & int_less(X5,X4)) => real_zero = a(X4,X5))), 0.19/0.45 inference(negated_conjecture,[],[f4])). 0.19/0.45 fof(f4,conjecture,( 0.19/0.45 ! [X4,X5] : ((int_leq(int_one,X5) & int_leq(X4,n) & int_less(X5,X4)) => real_zero = a(X4,X5))), 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ut)). 0.19/0.45 fof(f243,plain,( 0.19/0.45 ~int_leq(sK1,n) | ~int_less(sK1,sK0)), 0.19/0.45 inference(subsumption_resolution,[],[f242,f46])). 0.19/0.45 fof(f46,plain,( 0.19/0.45 real_zero != a(sK0,sK1)), 0.19/0.45 inference(cnf_transformation,[],[f35])). 0.19/0.45 fof(f242,plain,( 0.19/0.45 ~int_leq(sK1,n) | real_zero = a(sK0,sK1) | ~int_less(sK1,sK0)), 0.19/0.45 inference(subsumption_resolution,[],[f241,f44])). 0.19/0.45 fof(f44,plain,( 0.19/0.45 int_leq(sK0,n)), 0.19/0.45 inference(cnf_transformation,[],[f35])). 0.19/0.45 fof(f241,plain,( 0.19/0.45 ~int_leq(sK0,n) | ~int_leq(sK1,n) | real_zero = a(sK0,sK1) | ~int_less(sK1,sK0)), 0.19/0.45 inference(subsumption_resolution,[],[f240,f69])). 0.19/0.45 fof(f69,plain,( 0.19/0.45 ( ! [X1 : $i] : (int_leq(X1,X1)) )), 0.19/0.45 inference(equality_resolution,[],[f58])). 0.19/0.45 fof(f58,plain,( 0.19/0.45 ( ! [X0 : $i,X1 : $i] : (int_leq(X0,X1) | X0 != X1) )), 0.19/0.45 inference(cnf_transformation,[],[f38])). 0.19/0.45 fof(f240,plain,( 0.19/0.45 ~int_leq(sK1,sK1) | ~int_leq(sK0,n) | ~int_leq(sK1,n) | real_zero = a(sK0,sK1) | ~int_less(sK1,sK0)), 0.19/0.45 inference(subsumption_resolution,[],[f239,f45])). 0.19/0.45 fof(f45,plain,( 0.19/0.45 int_leq(int_one,sK1)), 0.19/0.45 inference(cnf_transformation,[],[f35])). 0.19/0.45 fof(f239,plain,( 0.19/0.45 ~int_leq(int_one,sK1) | ~int_leq(sK1,sK1) | ~int_leq(sK0,n) | ~int_leq(sK1,n) | real_zero = a(sK0,sK1) | ~int_less(sK1,sK0)), 0.19/0.45 inference(subsumption_resolution,[],[f236,f161])). 0.19/0.45 fof(f161,plain,( 0.19/0.45 int_leq(int_one,sK0)), 0.19/0.45 inference(resolution,[],[f130,f54])). 0.19/0.45 fof(f54,plain,( 0.19/0.45 ( ! [X0 : $i] : (int_leq(int_one,X0) | ~int_less(int_zero,X0)) )), 0.19/0.45 inference(cnf_transformation,[],[f36])). 0.19/0.45 fof(f36,plain,( 0.19/0.45 ! [X0] : ((int_leq(int_one,X0) | ~int_less(int_zero,X0)) & (int_less(int_zero,X0) | ~int_leq(int_one,X0)))), 0.19/0.45 inference(nnf_transformation,[],[f18])). 0.19/0.45 fof(f18,plain,( 0.19/0.45 ! [X0] : (int_leq(int_one,X0) <=> int_less(int_zero,X0))), 0.19/0.45 inference(rectify,[],[f10])). 0.19/0.45 fof(f10,axiom,( 0.19/0.45 ! [X4] : (int_leq(int_one,X4) <=> int_less(int_zero,X4))), 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_successor_of_zero)). 0.19/0.45 fof(f130,plain,( 0.19/0.45 int_less(int_zero,sK0)), 0.19/0.45 inference(resolution,[],[f75,f81])). 0.19/0.45 fof(f81,plain,( 0.19/0.45 int_less(int_zero,sK1)), 0.19/0.45 inference(resolution,[],[f45,f53])). 0.19/0.45 fof(f53,plain,( 0.19/0.45 ( ! [X0 : $i] : (int_less(int_zero,X0) | ~int_leq(int_one,X0)) )), 0.19/0.45 inference(cnf_transformation,[],[f36])). 0.19/0.45 fof(f75,plain,( 0.19/0.45 ( ! [X3 : $i] : (~int_less(X3,sK1) | int_less(X3,sK0)) )), 0.19/0.45 inference(resolution,[],[f43,f64])). 0.19/0.45 fof(f64,plain,( 0.19/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (int_less(X0,X2) | ~int_less(X1,X2) | ~int_less(X0,X1)) )), 0.19/0.45 inference(cnf_transformation,[],[f31])). 0.19/0.45 fof(f31,plain,( 0.19/0.45 ! [X0,X1,X2] : (int_less(X0,X2) | ~int_less(X1,X2) | ~int_less(X0,X1))), 0.19/0.45 inference(flattening,[],[f30])). 0.19/0.45 fof(f30,plain,( 0.19/0.45 ! [X0,X1,X2] : (int_less(X0,X2) | (~int_less(X1,X2) | ~int_less(X0,X1)))), 0.19/0.45 inference(ennf_transformation,[],[f24])). 0.19/0.45 fof(f24,plain,( 0.19/0.45 ! [X0,X1,X2] : ((int_less(X1,X2) & int_less(X0,X1)) => int_less(X0,X2))), 0.19/0.45 inference(rectify,[],[f8])). 0.19/0.45 fof(f8,axiom,( 0.19/0.45 ! [X4,X5,X7] : ((int_less(X5,X7) & int_less(X4,X5)) => int_less(X4,X7))), 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_less_transitive)). 0.19/0.45 fof(f236,plain,( 0.19/0.45 ~int_leq(int_one,sK0) | ~int_leq(int_one,sK1) | ~int_leq(sK1,sK1) | ~int_leq(sK0,n) | ~int_leq(sK1,n) | real_zero = a(sK0,sK1) | ~int_less(sK1,sK0)), 0.19/0.45 inference(duplicate_literal_removal,[],[f235])). 0.19/0.45 fof(f235,plain,( 0.19/0.45 ~int_leq(int_one,sK0) | ~int_leq(int_one,sK1) | ~int_leq(sK1,sK1) | ~int_leq(sK0,n) | ~int_leq(int_one,sK1) | ~int_leq(sK1,n) | real_zero = a(sK0,sK1) | ~int_less(sK1,sK0)), 0.19/0.45 inference(superposition,[],[f112,f76])). 0.19/0.45 fof(f76,plain,( 0.19/0.45 sK0 = plus(sK1,sK2(sK1,sK0))), 0.19/0.45 inference(resolution,[],[f43,f62])). 0.19/0.45 fof(f62,plain,( 0.19/0.45 ( ! [X0 : $i,X1 : $i] : (plus(X0,sK2(X0,X1)) = X1 | ~int_less(X0,X1)) )), 0.19/0.45 inference(cnf_transformation,[],[f42])). 0.19/0.45 fof(f42,plain,( 0.19/0.45 ! [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)))), 0.19/0.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f40,f41])). 0.19/0.45 fof(f41,plain,( 0.19/0.45 ! [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))), 0.19/0.45 introduced(choice_axiom,[])). 0.19/0.45 fof(f40,plain,( 0.19/0.45 ! [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)))), 0.19/0.45 inference(rectify,[],[f39])). 0.19/0.45 fof(f39,plain,( 0.19/0.45 ! [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)))), 0.19/0.45 inference(nnf_transformation,[],[f23])). 0.19/0.45 fof(f23,plain,( 0.19/0.45 ! [X0,X1] : (? [X2] : (int_less(int_zero,X2) & plus(X0,X2) = X1) <=> int_less(X0,X1))), 0.19/0.45 inference(rectify,[],[f14])). 0.19/0.45 fof(f14,axiom,( 0.19/0.45 ! [X4,X5] : (? [X7] : (int_less(int_zero,X7) & plus(X4,X7) = X5) <=> int_less(X4,X5))), 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_and_inverse)). 0.19/0.45 fof(f112,plain,( 0.19/0.45 ( ! [X10 : $i,X8 : $i,X9 : $i] : (~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)) )), 0.19/0.45 inference(subsumption_resolution,[],[f111,f63])). 0.19/0.45 fof(f63,plain,( 0.19/0.45 ( ! [X0 : $i,X1 : $i] : (int_less(int_zero,sK2(X0,X1)) | ~int_less(X0,X1)) )), 0.19/0.45 inference(cnf_transformation,[],[f42])). 0.19/0.45 fof(f111,plain,( 0.19/0.45 ( ! [X10 : $i,X8 : $i,X9 : $i] : (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)) )), 0.19/0.45 inference(superposition,[],[f67,f62])). 0.19/0.45 fof(f67,plain,( 0.19/0.45 ( ! [X6 : $i,X5 : $i,X1 : $i] : (real_zero = a(plus(X6,X5),X6) | ~int_leq(int_one,X6) | ~int_leq(X6,X1) | ~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))) )), 0.19/0.45 inference(equality_resolution,[],[f47])). 0.19/0.45 fof(f47,plain,( 0.19/0.45 ( ! [X6 : $i,X0 : $i,X5 : $i,X1 : $i] : (real_zero = a(plus(X6,X5),X6) | ~int_leq(int_one,X6) | ~int_leq(X6,X1) | plus(X1,X5) != X0 | ~int_less(int_zero,X5) | ~int_leq(X0,n) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~int_leq(int_one,X0)) )), 0.19/0.45 inference(cnf_transformation,[],[f28])). 0.19/0.45 fof(f28,plain,( 0.19/0.45 ! [X0,X1] : ((! [X2] : (! [X3] : (real_zero = a(X3,plus(X3,X2)) | ~int_leq(X3,X0) | ~int_leq(int_one,X3)) | ~int_less(int_zero,X2) | plus(X0,X2) != X1) & ! [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(int_one,X6) | ~int_leq(X6,X1)) | plus(X1,X5) != X0 | ~int_less(int_zero,X5))) | ~int_leq(X0,n) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~int_leq(int_one,X0))), 0.19/0.45 inference(flattening,[],[f27])). 0.19/0.45 fof(f27,plain,( 0.19/0.45 ! [X0,X1] : ((! [X2] : (! [X3] : (real_zero = a(X3,plus(X3,X2)) | (~int_leq(X3,X0) | ~int_leq(int_one,X3))) | (~int_less(int_zero,X2) | plus(X0,X2) != X1)) & ! [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(int_one,X6) | ~int_leq(X6,X1))) | (plus(X1,X5) != X0 | ~int_less(int_zero,X5)))) | (~int_leq(X0,n) | ~int_leq(int_one,X1) | ~int_leq(X1,n) | ~int_leq(int_one,X0)))), 0.19/0.45 inference(ennf_transformation,[],[f16])). 0.19/0.45 fof(f16,plain,( 0.19/0.45 ! [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(X0,X2) = X1) => ! [X3] : ((int_leq(X3,X0) & int_leq(int_one,X3)) => real_zero = a(X3,plus(X3,X2)))) & ! [X4] : ((int_leq(int_one,X4) & int_leq(X4,X1)) => real_one = a(X4,X4)) & ! [X5] : ((plus(X1,X5) = X0 & int_less(int_zero,X5)) => ! [X6] : ((int_leq(int_one,X6) & int_leq(X6,X1)) => real_zero = a(plus(X6,X5),X6)))))), 0.19/0.45 inference(rectify,[],[f3])). 0.19/0.45 fof(f3,axiom,( 0.19/0.45 ! [X4,X5] : ((int_leq(X4,n) & int_leq(int_one,X5) & int_leq(X5,n) & int_leq(int_one,X4)) => (! [X6] : ((int_less(int_zero,X6) & plus(X4,X6) = X5) => ! [X7] : ((int_leq(X7,X4) & int_leq(int_one,X7)) => real_zero = a(X7,plus(X7,X6)))) & ! [X7] : ((int_leq(int_one,X7) & int_leq(X7,X5)) => a(X7,X7) = real_one) & ! [X6] : ((plus(X5,X6) = X4 & int_less(int_zero,X6)) => ! [X7] : ((int_leq(int_one,X7) & int_leq(X7,X5)) => real_zero = a(plus(X7,X6),X7)))))), 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qii)). 0.19/0.45 fof(f316,plain,( 0.19/0.45 int_less(sK1,n)), 0.19/0.45 inference(backward_demodulation,[],[f43,f315])). 0.19/0.45 fof(f315,plain,( 0.19/0.45 n = sK0), 0.19/0.45 inference(subsumption_resolution,[],[f136,f245])). 0.19/0.45 fof(f136,plain,( 0.19/0.45 n = sK0 | int_less(sK1,n)), 0.19/0.45 inference(resolution,[],[f80,f74])). 0.19/0.45 fof(f74,plain,( 0.19/0.45 ( ! [X2 : $i] : (~int_less(sK0,X2) | int_less(sK1,X2)) )), 0.19/0.45 inference(resolution,[],[f43,f64])). 0.19/0.45 fof(f80,plain,( 0.19/0.45 int_less(sK0,n) | n = sK0), 0.19/0.45 inference(resolution,[],[f44,f60])). 0.19/0.45 fof(f60,plain,( 0.19/0.45 ( ! [X0 : $i,X1 : $i] : (int_less(X0,X1) | X0 = X1 | ~int_leq(X0,X1)) )), 0.19/0.45 inference(cnf_transformation,[],[f38])). 0.19/0.45 % SZS output end Proof for theBenchmark 0.19/0.45 % (32677)------------------------------ 0.19/0.45 % (32677)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.19/0.45 % (32677)Termination reason: Refutation 0.19/0.45 0.19/0.45 % (32677)Memory used [KB]: 2046 0.19/0.45 % (32677)Time elapsed: 0.061 s 0.19/0.45 % (32677)------------------------------ 0.19/0.45 % (32677)------------------------------ 0.19/0.45 % (32658)Success in time 0.103 s 0.19/0.45 EOF