0.07/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_vampire %s %d 0.13/0.33 % Computer : n012.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Thu Jul 2 07:51:36 EDT 2020 0.13/0.34 % CPUTime : 0.82/0.57 % (29120)lrs+10_1_av=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=5.0:sos=on:sp=reverse_arity_2 on theBenchmark 0.82/0.57 % (29128)lrs+1011_2:3_av=off:gs=on:gsem=off:nwc=1.5:stl=30:sos=theory:sp=occurrence:urr=ec_only:updr=off_223 on theBenchmark 0.82/0.58 % (29112)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 0.82/0.59 % (29118)lrs+1011_1_afp=40000:afq=1.4:bd=off:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:nwc=1:stl=30:sd=2:ss=axioms:sos=all:sp=occurrence_6 on theBenchmark 0.82/0.59 % (29124)ott-3_3_av=off:cond=fast:fde=none:lcm=reverse:nm=6:nwc=1:sd=5:ss=axioms:st=2.0:sos=on:sp=reverse_arity:updr=off:uhcvi=on_88 on theBenchmark 0.82/0.60 % (29111)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 0.82/0.61 % (29116)dis+1002_7_acc=on:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:ccuc=first:fsr=off:gsp=input_only:gs=on:gsem=on:nm=6:nwc=1.1:nicw=on:sos=on:sac=on:sp=occurrence:urr=ec_only_217 on theBenchmark 0.82/0.61 % (29133)lrs-4_5:1_add=large:afr=on:afp=40000:afq=1.4:amm=off:anc=none:bs=unit_only:bsr=on:irw=on:lcm=reverse:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:updr=off_6 on theBenchmark 0.82/0.61 % (29106)dis+10_16_awrs=decay:awrsf=256:afr=on:afp=40000:afq=2.0:amm=off:bsr=on:cond=on:er=known:gsp=input_only: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 0.82/0.61 % (29121)dis+1011_3_afp=4000:afq=1.1:amm=sco:anc=none:gs=on:gsaa=from_current:gsem=off:irw=on:nm=16:nwc=1:sas=z3:ss=axioms:sos=all:sac=on:sp=reverse_arity:updr=off_17 on theBenchmark 0.82/0.62 % (29107)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 0.82/0.62 % (29130)dis-11_3_add=off:afp=40000:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_1 on theBenchmark 0.82/0.62 % (29108)dis+1_5:1_aac=none:afr=on:afp=100000:afq=1.4:amm=sco:anc=none:br=off:gsp=input_only:gs=on:gsem=on:lcm=reverse:nm=6:nwc=1:nicw=on:sas=z3:sos=on:urr=on_1 on theBenchmark 0.82/0.62 % (29135)lrs+11_3_av=off:bce=on:cond=fast:ep=R:lcm=reverse:lma=on:newcnf=on:nwc=1.3:stl=30:sd=3:ss=axioms:st=1.2:sos=on:sp=occurrence:uhcvi=on_2 on theBenchmark 0.82/0.62 % (29110)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 0.82/0.63 % (29109)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 0.82/0.63 % (29127)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_75 on theBenchmark 0.82/0.63 % (29113)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 0.82/0.63 % (29122)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_9 on theBenchmark 1.54/0.63 % (29125)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_24 on theBenchmark 1.54/0.63 % (29126)ott+4_4:1_acc=model:add=large:afr=on:afp=10000:afq=1.4:amm=off:anc=none:bd=preordered:bs=unit_only:ccuc=first:cond=on:gs=on:nm=32:nwc=1.5:sac=on:urr=on:updr=off_13 on theBenchmark 1.54/0.64 % (29115)lrs+1002_1_av=off:fde=unused:lwlo=on:nm=16:nwc=4:stl=30:sp=occurrence_66 on theBenchmark 1.54/0.64 % (29114)lrs+11_3_afr=on:afp=10000:afq=1.0:cond=fast:fsr=off:fde=none:gs=on:gsem=off:lcm=reverse:nm=2:newcnf=on:nwc=1:sas=z3:stl=30:sd=10:ss=axioms:st=2.0:sos=all:sp=reverse_arity:urr=on:uhcvi=on_23 on theBenchmark 1.54/0.64 % (29131)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_91 on theBenchmark 1.54/0.64 % (29117)lrs+4_2_av=off:gs=on:gsem=on:lma=on:nm=16:nwc=1:sas=z3:stl=30:sos=on:urr=on_23 on theBenchmark 1.54/0.64 % (29129)dis+1010_4_acc=on:afr=on:afp=1000:afq=2.0:anc=none:bd=off:bs=unit_only:bsr=on:ccuc=small_ones:cond=fast:fsr=off:gs=on:gsem=off:lcm=reverse:lma=on:nm=64:nwc=2.5:nicw=on:sd=3:ss=axioms:st=3.0:sac=on:urr=ec_only:updr=off:uhcvi=on_83 on theBenchmark 1.54/0.64 % (29119)dis+1010_7_afr=on:afp=10000:afq=1.1:amm=sco:anc=none:bd=off:bsr=on:cond=on:fsr=off:lma=on:nm=32:newcnf=on:nwc=1:urr=ec_only:updr=off_83 on theBenchmark 1.54/0.64 % (29123)lrs+1_7_av=off:irw=on:lcm=predicate:lma=on:nm=4:newcnf=on:nwc=1:stl=30:sos=all:sp=occurrence:updr=off_36 on theBenchmark 1.54/0.65 % (29132)lrs+1_1_aac=none:acc=model:add=large:afp=100000:afq=1.2:anc=none:bd=off:bs=on:bsr=on:ccuc=first:cond=on:fde=unused:irw=on:nm=2:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:uhcvi=on_11 on theBenchmark 1.54/0.65 % (29134)dis+1002_7_acc=on:afp=4000:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_73 on theBenchmark 1.95/0.72 % (29128)Refutation found. Thanks to Tanya! 1.95/0.72 % SZS status Theorem for theBenchmark 1.95/0.72 % SZS output start Proof for theBenchmark 1.95/0.72 fof(f6398,plain,( 1.95/0.72 $false), 1.95/0.72 inference(subsumption_resolution,[],[f6397,f5776])). 1.95/0.72 fof(f5776,plain,( 1.95/0.72 ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))),pls))), 1.95/0.72 inference(backward_demodulation,[],[f5759,f5774])). 1.95/0.72 fof(f5774,plain,( 1.95/0.72 twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),one_one(int))), 1.95/0.72 inference(forward_demodulation,[],[f5773,f5400])). 1.95/0.72 fof(f5400,plain,( 1.95/0.72 hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))), 1.95/0.72 inference(definition_unfolding,[],[f3889,f3943,f3977])). 1.95/0.72 fof(f3977,plain,( 1.95/0.72 ( ! [X0] : (bit1(X0) = hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),X0)),X0)) )), 1.95/0.72 inference(cnf_transformation,[],[f1320])). 1.95/0.72 fof(f1320,plain,( 1.95/0.72 ! [X0] : bit1(X0) = hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),X0)),X0)), 1.95/0.72 inference(rectify,[],[f827])). 1.95/0.72 fof(f827,axiom,( 1.95/0.72 ! [X14] : bit1(X14) = hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),X14)),X14)), 1.95/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_164_Bit1__def)). 1.95/0.72 fof(f3943,plain,( 1.95/0.72 ( ! [X0] : (bit0(X0) = hAPP(int,int,plus_plus(int,X0),X0)) )), 1.95/0.72 inference(cnf_transformation,[],[f1286])). 1.95/0.72 fof(f1286,plain,( 1.95/0.72 ! [X0] : bit0(X0) = hAPP(int,int,plus_plus(int,X0),X0)), 1.95/0.72 inference(rectify,[],[f1095])). 1.95/0.72 fof(f1095,axiom,( 1.95/0.72 ! [X14] : bit0(X14) = hAPP(int,int,plus_plus(int,X14),X14)), 1.95/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_132_Bit0__def)). 1.95/0.72 fof(f3889,plain,( 1.95/0.72 number_number_of(nat,bit0(bit1(pls))) = hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))), 1.95/0.72 inference(cnf_transformation,[],[f1016])). 1.95/0.72 fof(f1016,axiom,( 1.95/0.72 number_number_of(nat,bit0(bit1(pls))) = hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))), 1.95/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_nat__1__add__1)). 1.95/0.72 fof(f5773,plain,( 1.95/0.72 twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),one_one(int))), 1.95/0.72 inference(forward_demodulation,[],[f5414,f5410])). 1.95/0.72 fof(f5410,plain,( 1.95/0.72 twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int))),t)), 1.95/0.72 inference(definition_unfolding,[],[f3903,f3943,f3943,f3977])). 1.95/0.72 fof(f3903,plain,( 1.95/0.72 hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),t) = twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))), 1.95/0.72 inference(cnf_transformation,[],[f1017])). 1.95/0.72 fof(f1017,axiom,( 1.95/0.72 hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),t) = twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))), 1.95/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_751__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096)). 1.95/0.72 fof(f5414,plain,( 1.95/0.72 hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int))),t)), 1.95/0.72 inference(definition_unfolding,[],[f3907,f3943,f3977,f3943,f3943,f3977])). 1.95/0.72 fof(f3907,plain,( 1.95/0.72 hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,bit0(bit1(pls))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),t)), 1.95/0.72 inference(cnf_transformation,[],[f682])). 1.95/0.72 fof(f682,axiom,( 1.95/0.72 hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,bit0(bit1(pls))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),t)), 1.95/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_t)). 1.95/0.72 fof(f5759,plain,( 1.95/0.72 ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),one_one(int))),pls))), 1.95/0.72 inference(backward_demodulation,[],[f5752,f5400])). 1.95/0.72 fof(f5752,plain,( 1.95/0.72 ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),one_one(int))),pls))), 1.95/0.72 inference(backward_demodulation,[],[f5389,f3858])). 1.95/0.72 fof(f3858,plain,( 1.95/0.72 zero_zero(int) = pls), 1.95/0.72 inference(cnf_transformation,[],[f795])). 1.95/0.72 fof(f795,axiom,( 1.95/0.72 zero_zero(int) = pls), 1.95/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_Pls__def)). 1.95/0.72 fof(f5389,plain,( 1.95/0.72 ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),one_one(int))),zero_zero(int)))), 1.95/0.72 inference(definition_unfolding,[],[f3691,f3943,f3977])). 1.95/0.72 fof(f3691,plain,( 1.95/0.72 ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,bit0(bit1(pls))))),one_one(int))),zero_zero(int)))), 1.95/0.72 inference(cnf_transformation,[],[f1257])). 1.95/0.72 fof(f1257,plain,( 1.95/0.72 ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,bit0(bit1(pls))))),one_one(int))),zero_zero(int)))), 1.95/0.72 inference(flattening,[],[f40])). 1.95/0.72 fof(f40,negated_conjecture,( 1.95/0.72 ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,bit0(bit1(pls))))),one_one(int))),zero_zero(int)))), 1.95/0.72 inference(negated_conjecture,[],[f39])). 1.95/0.72 fof(f39,conjecture,( 1.95/0.72 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,bit0(bit1(pls))))),one_one(int))),zero_zero(int)))), 1.95/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 1.95/0.72 fof(f6397,plain,( 1.95/0.72 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))),pls))), 1.95/0.72 inference(forward_demodulation,[],[f6380,f3934])). 1.95/0.72 fof(f3934,plain,( 1.95/0.72 ( ! [X0] : (pls = hAPP(int,int,times_times(int,pls),X0)) )), 1.95/0.72 inference(cnf_transformation,[],[f1277])). 1.95/0.72 fof(f1277,plain,( 1.95/0.72 ! [X0] : pls = hAPP(int,int,times_times(int,pls),X0)), 1.95/0.72 inference(rectify,[],[f218])). 1.95/0.72 fof(f218,axiom,( 1.95/0.72 ! [X24] : pls = hAPP(int,int,times_times(int,pls),X24)), 1.95/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_mult__Pls)). 1.95/0.72 fof(f6380,plain,( 1.95/0.72 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))),hAPP(int,int,times_times(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))),hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))),m)))))), 1.95/0.72 inference(backward_demodulation,[],[f6371,f4620])). 1.95/0.72 fof(f4620,plain,( 1.95/0.72 ( ! [X0,X1] : (hAPP(int,int,times_times(int,X1),X0) = hAPP(int,int,times_times(int,X0),X1)) )), 1.95/0.72 inference(cnf_transformation,[],[f1762])). 1.95/0.72 fof(f1762,plain,( 1.95/0.72 ! [X0,X1] : hAPP(int,int,times_times(int,X1),X0) = hAPP(int,int,times_times(int,X0),X1)), 1.95/0.72 inference(rectify,[],[f564])). 1.95/0.72 fof(f564,axiom,( 1.95/0.72 ! [X27,X24] : hAPP(int,int,times_times(int,X24),X27) = hAPP(int,int,times_times(int,X27),X24)), 1.95/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_zmult__commute)). 1.95/0.72 fof(f6371,plain,( 1.95/0.72 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))),hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))),m))),pls)))), 1.95/0.72 inference(backward_demodulation,[],[f5933,f4619])). 1.95/0.72 fof(f4619,plain,( 1.95/0.72 ( ! [X0,X1] : (hAPP(int,int,plus_plus(int,X0),X1) = hAPP(int,int,plus_plus(int,X1),X0)) )), 1.95/0.72 inference(cnf_transformation,[],[f1761])). 1.95/0.72 fof(f1761,plain,( 1.95/0.72 ! [X0,X1] : hAPP(int,int,plus_plus(int,X0),X1) = hAPP(int,int,plus_plus(int,X1),X0)), 1.95/0.72 inference(rectify,[],[f445])). 1.95/0.72 fof(f445,axiom,( 1.95/0.72 ! [X27,X24] : hAPP(int,int,plus_plus(int,X27),X24) = hAPP(int,int,plus_plus(int,X24),X27)), 1.95/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_zadd__commute)). 1.95/0.72 fof(f5933,plain,( 1.95/0.72 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))),hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))),m)),one_one(int))),pls)))), 1.95/0.72 inference(forward_demodulation,[],[f5932,f5390])). 1.95/0.72 fof(f5390,plain,( 1.95/0.72 ( ! [X0] : (hAPP(int,int,plus_plus(int,X0),X0) = hAPP(int,int,plus_plus(int,ti(int,X0)),ti(int,X0))) )), 1.95/0.72 inference(definition_unfolding,[],[f3694,f3943,f3943])). 1.95/0.72 fof(f3694,plain,( 1.95/0.72 ( ! [X0] : (bit0(X0) = bit0(ti(int,X0))) )), 1.95/0.72 inference(cnf_transformation,[],[f1258])). 1.95/0.72 fof(f1258,plain,( 1.95/0.72 ! [X0] : bit0(X0) = bit0(ti(int,X0))), 1.95/0.72 inference(rectify,[],[f1015])). 1.95/0.72 fof(f1015,axiom,( 1.95/0.72 ! [X10] : bit0(X10) = bit0(ti(int,X10))), 1.95/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Int_OBit0_arg1)). 1.95/0.72 fof(f5932,plain,( 1.95/0.72 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,ti(int,one_one(int))),ti(int,one_one(int)))),hAPP(int,int,plus_plus(int,ti(int,one_one(int))),ti(int,one_one(int))))),m)),one_one(int))),pls)))), 1.95/0.72 inference(forward_demodulation,[],[f5931,f3956])). 1.95/0.72 fof(f3956,plain,( 1.95/0.72 ( ! [X0] : (ti(int,X0) = hAPP(int,int,plus_plus(int,X0),pls)) )), 1.95/0.72 inference(cnf_transformation,[],[f1299])). 1.95/0.72 fof(f1299,plain,( 1.95/0.72 ! [X0] : ti(int,X0) = hAPP(int,int,plus_plus(int,X0),pls)), 1.95/0.72 inference(rectify,[],[f303])). 1.95/0.72 fof(f303,axiom,( 1.95/0.72 ! [X14] : ti(int,X14) = hAPP(int,int,plus_plus(int,X14),pls)), 1.95/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_add__Pls__right)). 1.95/0.72 fof(f5931,plain,( 1.95/0.72 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,one_one(int)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))),m)),one_one(int))),pls)))), 1.95/0.72 inference(forward_demodulation,[],[f5870,f5390])). 1.95/0.72 fof(f5870,plain,( 1.95/0.72 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,ti(int,hAPP(int,int,plus_plus(int,one_one(int)),pls))),ti(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)))),hAPP(int,int,plus_plus(int,ti(int,hAPP(int,int,plus_plus(int,one_one(int)),pls))),ti(int,hAPP(int,int,plus_plus(int,one_one(int)),pls))))),m)),one_one(int))),pls)))), 1.95/0.72 inference(backward_demodulation,[],[f5843,f3956])). 1.95/0.72 fof(f5843,plain,( 1.95/0.72 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))),m)),one_one(int))),pls)))), 1.95/0.72 inference(forward_demodulation,[],[f5812,f5391])). 1.95/0.72 fof(f5391,plain,( 1.95/0.72 ( ! [X0] : (hAPP(int,int,plus_plus(int,X0),X0) = ti(int,hAPP(int,int,plus_plus(int,X0),X0))) )), 1.95/0.72 inference(definition_unfolding,[],[f3695,f3943,f3943])). 1.95/0.72 fof(f3695,plain,( 1.95/0.72 ( ! [X0] : (bit0(X0) = ti(int,bit0(X0))) )), 1.95/0.72 inference(cnf_transformation,[],[f1259])). 1.95/0.72 fof(f1259,plain,( 1.95/0.72 ! [X0] : bit0(X0) = ti(int,bit0(X0))), 1.95/0.72 inference(rectify,[],[f829])). 1.95/0.72 fof(f829,axiom,( 1.95/0.72 ! [X10] : bit0(X10) = ti(int,bit0(X10))), 1.95/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Int_OBit0_res)). 1.95/0.72 fof(f5812,plain,( 1.95/0.72 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,ti(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int))),pls)))), 1.95/0.72 inference(backward_demodulation,[],[f5783,f3932])). 1.95/0.72 fof(f3932,plain,( 1.95/0.72 ( ! [X0] : (ti(int,X0) = number_number_of(int,X0)) )), 1.95/0.72 inference(cnf_transformation,[],[f1275])). 1.95/0.72 fof(f1275,plain,( 1.95/0.72 ! [X0] : ti(int,X0) = number_number_of(int,X0)), 1.95/0.72 inference(rectify,[],[f819])). 1.95/0.72 fof(f819,axiom,( 1.95/0.72 ! [X14] : ti(int,X14) = number_number_of(int,X14)), 1.95/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_number__of__is__id)). 1.95/0.72 fof(f5783,plain,( 1.95/0.72 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int))),pls)))), 1.95/0.72 inference(forward_demodulation,[],[f5782,f5410])). 1.95/0.72 fof(f5782,plain,( 1.95/0.72 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int))),pls)))), 1.95/0.72 inference(forward_demodulation,[],[f5418,f3858])). 1.95/0.72 fof(f5418,plain,( 1.95/0.72 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int))),zero_zero(int))))), 1.95/0.72 inference(definition_unfolding,[],[f3911,f3943,f3943,f3977,f3943,f3943,f3977])). 1.95/0.72 fof(f3911,plain,( 1.95/0.72 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),zero_zero(int))))), 1.95/0.72 inference(cnf_transformation,[],[f186])). 1.95/0.72 fof(f186,axiom,( 1.95/0.72 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),zero_zero(int))))), 1.95/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096)). 1.95/0.72 % SZS output end Proof for theBenchmark 1.95/0.72 % (29128)------------------------------ 1.95/0.72 % (29128)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.95/0.72 % (29128)Termination reason: Refutation 1.95/0.72 1.95/0.72 % (29128)Memory used [KB]: 10234 1.95/0.72 % (29128)Time elapsed: 0.105 s 1.95/0.72 % (29128)------------------------------ 1.95/0.72 % (29128)------------------------------ 1.95/0.73 % (29104)Success in time 0.366 s 1.95/0.73 EOF