0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.15/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.15/0.35 % Computer : n022.cluster.edu 0.15/0.35 % Model : x86_64 x86_64 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.35 % Memory : 8042.1875MB 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.35 % CPULimit : 960 0.15/0.35 % WCLimit : 120 0.15/0.35 % DateTime : Tue Aug 9 04:22:01 EDT 2022 0.22/0.36 % CPUTime : 0.22/0.36 This is a FOF_ problem 0.22/0.36 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.22/0.37 % (7906)Running in auto input_syntax mode. Trying TPTP 0.22/0.47 % (7914)dis+10_16_awrs=decay:awrsf=256:afr=on:afp=40000:afq=2.0:amm=off:bsr=on:cond=on:er=known:gsp=on:irw=on:lma=on:nm=6:newcnf=on:nwc=3:sas=z3:sd=4:ss=axioms:s2a=on:sp=frequency:updr=off_8 on theBenchmark 0.22/0.47 % (7920)dis+10_3_add=off:afp=40000:afq=1.0:amm=sco:anc=none:er=filter:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1.3:sp=reverse_arity:updr=off_2 on theBenchmark 0.22/0.47 % (7918)dis+1002_8:1_av=off:br=off:cond=on:irw=on:lma=on:nm=32:nwc=1:sp=occurrence:urr=on_89 on theBenchmark 0.22/0.47 % (7917)dis+11_2:1_add=large:afp=1000:afq=1.2:amm=sco:anc=none:cond=on:gs=on:gsem=off:nm=16:newcnf=on:nwc=1:sas=z3:sd=1:ss=axioms:st=1.2:sos=on:sp=reverse_arity:updr=off_5 on theBenchmark 0.22/0.47 % (7916)dis+1_5:1_aac=none:afr=on:afp=100000:afq=1.4:amm=sco:anc=none:br=off:gsp=on:gs=on:gsem=on:lcm=reverse:nm=6:nwc=1:nicw=on:sas=z3:sos=on:urr=on_1 on theBenchmark 0.22/0.48 % (7921)lrs+1_8:1_av=off:cond=fast:fde=unused:lcm=predicate:nm=16:nwc=10:stl=60:sp=occurrence:urr=ec_only_3 on theBenchmark 0.22/0.48 % (7919)dis-1_2:3_av=off:cond=on:fsr=off:irw=on:lma=on:nwc=3:sd=3:ss=axioms:st=3.0:sp=occurrence:updr=off_9 on theBenchmark 0.22/0.48 % (7915)dis+11_3_av=off:fsr=off:lcm=predicate:lma=on:nm=4:nwc=1:sd=3:ss=axioms:st=1.2:sos=on:updr=off_4 on theBenchmark 1.44/0.63 % (7921)First to succeed. 1.44/0.63 % (7921)Refutation found. Thanks to Tanya! 1.44/0.63 % SZS status Theorem for theBenchmark 1.44/0.63 % SZS output start Proof for theBenchmark 1.44/0.63 fof(f6411,plain,( 1.44/0.63 $false), 1.44/0.63 inference(unit_resulting_resolution,[],[f3378,f3067,f6239,f2877])). 1.44/0.63 fof(f2877,plain,( 1.44/0.63 ( ! [X0,X1] : (~dvd_dvd(int,X0,X1) | ~ord_less(int,pls,X1) | ~ord_less(int,X1,X0)) )), 1.44/0.63 inference(forward_demodulation,[],[f2381,f1903])). 1.44/0.63 fof(f1903,plain,( 1.44/0.63 pls = zero_zero(int)), 1.44/0.63 inference(cnf_transformation,[],[f463])). 1.44/0.63 fof(f463,axiom,( 1.44/0.63 pls = zero_zero(int)), 1.44/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_202_Pls__def)). 1.44/0.63 fof(f2381,plain,( 1.44/0.63 ( ! [X0,X1] : (~dvd_dvd(int,X0,X1) | ~ord_less(int,X1,X0) | ~ord_less(int,zero_zero(int),X1)) )), 1.44/0.63 inference(cnf_transformation,[],[f1448])). 1.44/0.63 fof(f1448,plain,( 1.44/0.63 ! [X0,X1] : (~dvd_dvd(int,X0,X1) | ~ord_less(int,X1,X0) | ~ord_less(int,zero_zero(int),X1))), 1.44/0.63 inference(flattening,[],[f1447])). 1.44/0.63 fof(f1447,plain,( 1.44/0.63 ! [X0,X1] : ((~dvd_dvd(int,X0,X1) | ~ord_less(int,X1,X0)) | ~ord_less(int,zero_zero(int),X1))), 1.44/0.63 inference(ennf_transformation,[],[f972])). 1.44/0.63 fof(f972,plain,( 1.44/0.63 ! [X0,X1] : (ord_less(int,zero_zero(int),X1) => (ord_less(int,X1,X0) => ~dvd_dvd(int,X0,X1)))), 1.44/0.63 inference(rectify,[],[f574])). 1.44/0.63 fof(f574,axiom,( 1.44/0.63 ! [X27,X15] : (ord_less(int,zero_zero(int),X15) => (ord_less(int,X15,X27) => ~dvd_dvd(int,X27,X15)))), 1.44/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_188_zdvd__not__zless)). 1.44/0.63 fof(f6239,plain,( 1.44/0.63 ord_less(int,t,one_one(int))), 1.44/0.63 inference(subsumption_resolution,[],[f6238,f2703])). 1.44/0.63 fof(f2703,plain,( 1.44/0.63 t != one_one(int)), 1.44/0.63 inference(subsumption_resolution,[],[f1949,f1804])). 1.44/0.63 fof(f1804,plain,( 1.44/0.63 ( ! [X0,X1] : (plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) != plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls)))))) )), 1.44/0.63 inference(cnf_transformation,[],[f1150])). 1.44/0.63 fof(f1150,plain,( 1.44/0.63 ! [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) != plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls)))))), 1.44/0.63 inference(ennf_transformation,[],[f655])). 1.44/0.63 fof(f655,plain,( 1.44/0.63 ~? [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls)))))), 1.44/0.63 inference(rectify,[],[f425])). 1.44/0.63 fof(f425,negated_conjecture,( 1.44/0.63 ~? [X2,X3] : plus_plus(int,power_power(int,X2,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X3,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))), 1.44/0.63 inference(negated_conjecture,[],[f424])). 1.44/0.63 fof(f424,conjecture,( 1.44/0.63 ? [X2,X3] : plus_plus(int,power_power(int,X2,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X3,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))), 1.44/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 1.44/0.63 fof(f1949,plain,( 1.44/0.63 plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK1,number_number_of(nat,bit0(bit1(pls))))) | t != one_one(int)), 1.44/0.63 inference(cnf_transformation,[],[f1614])). 1.44/0.63 fof(f1614,plain,( 1.44/0.63 plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK1,number_number_of(nat,bit0(bit1(pls))))) | t != one_one(int)), 1.44/0.63 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f1151,f1613])). 1.44/0.63 fof(f1613,plain,( 1.44/0.63 ? [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) => plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK1,number_number_of(nat,bit0(bit1(pls)))))), 1.44/0.63 introduced(choice_axiom,[])). 1.44/0.63 fof(f1151,plain,( 1.44/0.63 ? [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) | t != one_one(int)), 1.44/0.63 inference(ennf_transformation,[],[f656])). 1.44/0.63 fof(f656,plain,( 1.44/0.63 t = one_one(int) => ? [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls)))))), 1.44/0.63 inference(rectify,[],[f2])). 1.44/0.63 fof(f2,axiom,( 1.44/0.63 t = one_one(int) => ? [X2,X3] : plus_plus(int,power_power(int,X2,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X3,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))), 1.44/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06)). 1.44/0.63 fof(f6238,plain,( 1.44/0.63 t = one_one(int) | ord_less(int,t,one_one(int))), 1.44/0.63 inference(forward_demodulation,[],[f6237,f1912])). 1.44/0.63 fof(f1912,plain,( 1.44/0.63 t = ti(int,t)), 1.44/0.63 inference(cnf_transformation,[],[f591])). 1.44/0.63 fof(f591,axiom,( 1.44/0.63 t = ti(int,t)), 1.44/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_t_____res)). 1.44/0.63 fof(f6237,plain,( 1.44/0.63 one_one(int) = ti(int,t) | ord_less(int,t,one_one(int))), 1.44/0.63 inference(forward_demodulation,[],[f6154,f3133])). 1.44/0.63 fof(f3133,plain,( 1.44/0.63 one_one(int) = ti(int,one_one(int))), 1.44/0.63 inference(resolution,[],[f2096,f1862])). 1.44/0.63 fof(f1862,plain,( 1.44/0.63 zero_neq_one(int)), 1.44/0.63 inference(cnf_transformation,[],[f488])). 1.44/0.63 fof(f488,axiom,( 1.44/0.63 zero_neq_one(int)), 1.44/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Ozero__neq__one)). 1.44/0.63 fof(f2096,plain,( 1.44/0.63 ( ! [X0] : (~zero_neq_one(X0) | one_one(X0) = ti(X0,one_one(X0))) )), 1.44/0.63 inference(cnf_transformation,[],[f1237])). 1.44/0.63 fof(f1237,plain,( 1.44/0.63 ! [X0] : (one_one(X0) = ti(X0,one_one(X0)) | ~zero_neq_one(X0))), 1.44/0.63 inference(ennf_transformation,[],[f765])). 1.44/0.63 fof(f765,plain,( 1.44/0.63 ! [X0] : (zero_neq_one(X0) => one_one(X0) = ti(X0,one_one(X0)))), 1.44/0.63 inference(rectify,[],[f214])). 1.44/0.63 fof(f214,axiom,( 1.44/0.63 ! [X6] : (zero_neq_one(X6) => one_one(X6) = ti(X6,one_one(X6)))), 1.44/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Groups_Oone__class_Oone_0_res)). 1.44/0.63 fof(f6154,plain,( 1.44/0.63 ord_less(int,t,one_one(int)) | ti(int,t) = ti(int,one_one(int))), 1.44/0.63 inference(resolution,[],[f2365,f2704])). 1.44/0.63 fof(f2704,plain,( 1.44/0.63 ~ord_less(int,one_one(int),t)), 1.44/0.63 inference(subsumption_resolution,[],[f1950,f1804])). 1.44/0.63 fof(f1950,plain,( 1.44/0.63 plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK3,number_number_of(nat,bit0(bit1(pls))))) | ~ord_less(int,one_one(int),t)), 1.44/0.63 inference(cnf_transformation,[],[f1616])). 1.44/0.63 fof(f1616,plain,( 1.44/0.63 plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK3,number_number_of(nat,bit0(bit1(pls))))) | ~ord_less(int,one_one(int),t)), 1.44/0.63 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f1152,f1615])). 1.44/0.63 fof(f1615,plain,( 1.44/0.63 ? [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) => plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK3,number_number_of(nat,bit0(bit1(pls)))))), 1.44/0.63 introduced(choice_axiom,[])). 1.44/0.63 fof(f1152,plain,( 1.44/0.63 ? [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) | ~ord_less(int,one_one(int),t)), 1.44/0.63 inference(ennf_transformation,[],[f657])). 1.44/0.63 fof(f657,plain,( 1.44/0.63 ord_less(int,one_one(int),t) => ? [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls)))))), 1.44/0.63 inference(rectify,[],[f564])). 1.44/0.63 fof(f564,axiom,( 1.44/0.63 ord_less(int,one_one(int),t) => ? [X2,X3] : plus_plus(int,power_power(int,X2,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X3,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))), 1.44/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06)). 1.44/0.63 fof(f2365,plain,( 1.44/0.63 ( ! [X0,X1] : (ord_less(int,X0,X1) | ord_less(int,X1,X0) | ti(int,X1) = ti(int,X0)) )), 1.44/0.63 inference(cnf_transformation,[],[f957])). 1.44/0.63 fof(f957,plain,( 1.44/0.63 ! [X0,X1] : (ord_less(int,X0,X1) | ord_less(int,X1,X0) | ti(int,X1) = ti(int,X0))), 1.44/0.63 inference(rectify,[],[f439])). 1.44/0.63 fof(f439,axiom,( 1.44/0.63 ! [X11,X23] : (ord_less(int,X11,X23) | ord_less(int,X23,X11) | ti(int,X11) = ti(int,X23))), 1.44/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_zless__linear)). 1.44/0.63 fof(f3067,plain,( 1.44/0.63 ( ! [X2] : (dvd_dvd(int,one_one(int),X2)) )), 1.44/0.63 inference(resolution,[],[f2157,f1890])). 1.44/0.63 fof(f1890,plain,( 1.44/0.63 comm_semiring_1(int)), 1.44/0.63 inference(cnf_transformation,[],[f147])). 1.44/0.63 fof(f147,axiom,( 1.44/0.63 comm_semiring_1(int)), 1.44/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Ocomm__semiring__1)). 1.44/0.63 fof(f2157,plain,( 1.44/0.63 ( ! [X0,X1] : (~comm_semiring_1(X0) | dvd_dvd(X0,one_one(X0),X1)) )), 1.44/0.63 inference(cnf_transformation,[],[f1312])). 1.44/0.63 fof(f1312,plain,( 1.44/0.63 ! [X0] : (! [X1] : dvd_dvd(X0,one_one(X0),X1) | ~comm_semiring_1(X0))), 1.44/0.63 inference(ennf_transformation,[],[f821])). 1.44/0.63 fof(f821,plain,( 1.44/0.63 ! [X0] : (comm_semiring_1(X0) => ! [X1] : dvd_dvd(X0,one_one(X0),X1))), 1.44/0.63 inference(rectify,[],[f77])). 1.44/0.63 fof(f77,axiom,( 1.44/0.63 ! [X6] : (comm_semiring_1(X6) => ! [X4] : dvd_dvd(X6,one_one(X6),X4))), 1.44/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_488_one__dvd)). 1.44/0.63 fof(f3378,plain,( 1.44/0.63 ord_less(int,pls,t)), 1.44/0.63 inference(resolution,[],[f2798,f1916])). 1.44/0.63 fof(f1916,plain,( 1.44/0.63 ord_less_eq(int,one_one(int),t)), 1.44/0.63 inference(cnf_transformation,[],[f447])). 1.44/0.63 fof(f447,axiom,( 1.44/0.63 ord_less_eq(int,one_one(int),t)), 1.44/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_tpos)). 1.44/0.63 fof(f2798,plain,( 1.44/0.63 ( ! [X0] : (~ord_less_eq(int,one_one(int),X0) | ord_less(int,pls,X0)) )), 1.44/0.63 inference(forward_demodulation,[],[f2299,f1903])). 1.44/0.63 fof(f2299,plain,( 1.44/0.63 ( ! [X0] : (ord_less(int,zero_zero(int),X0) | ~ord_less_eq(int,one_one(int),X0)) )), 1.44/0.63 inference(cnf_transformation,[],[f1694])). 1.44/0.63 fof(f1694,plain,( 1.44/0.63 ! [X0] : ((ord_less_eq(int,one_one(int),X0) | ~ord_less(int,zero_zero(int),X0)) & (ord_less(int,zero_zero(int),X0) | ~ord_less_eq(int,one_one(int),X0)))), 1.44/0.63 inference(nnf_transformation,[],[f918])). 1.44/0.63 fof(f918,plain,( 1.44/0.63 ! [X0] : (ord_less_eq(int,one_one(int),X0) <=> ord_less(int,zero_zero(int),X0))), 1.44/0.63 inference(rectify,[],[f401])). 1.44/0.63 fof(f401,axiom,( 1.44/0.63 ! [X21] : (ord_less_eq(int,one_one(int),X21) <=> ord_less(int,zero_zero(int),X21))), 1.44/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_241_int__one__le__iff__zero__less)). 1.44/0.63 % SZS output end Proof for theBenchmark 1.44/0.63 % (7921)------------------------------ 1.44/0.63 % (7921)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 1.44/0.63 % (7921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 1.44/0.63 % (7921)Termination reason: Refutation 1.44/0.63 1.44/0.63 % (7921)Memory used [KB]: 5756 1.44/0.63 % (7921)Time elapsed: 0.153 s 1.44/0.63 % (7921)------------------------------ 1.44/0.63 % (7921)------------------------------ 1.44/0.63 % (7906)Success in time 0.259 s 1.87/0.63 EOF