0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.11 % Command : vampire --mode casc -t %d %s 0.10/0.30 % Computer : n024.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % DateTime : Thu Jul 2 09:04:57 EDT 2020 0.10/0.30 % CPUTime : 2.36/2.58 % 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_4 on theBenchmark 3.19/3.37 % Time limit reached! 3.19/3.37 % ------------------------------ 3.19/3.37 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 3.19/3.37 % Termination reason: Time limit 3.19/3.37 % Termination phase: Saturation 3.19/3.37 3.19/3.37 % Memory used [KB]: 70745 3.19/3.37 % Time elapsed: 0.800 s 3.19/3.37 % ------------------------------ 3.19/3.37 % ------------------------------ 3.22/3.45 % lrs+1003_3_awrs=decay:awrsf=4:add=large:afr=on:afp=100000:afq=2.0:amm=sco:bd=off:cond=fast:fsr=off:fde=unused:gs=on:gsem=on:nm=6:nwc=1:stl=30:sd=1:ss=axioms:st=1.2:sos=on:sac=on:sp=frequency:urr=on:updr=off_4 on theBenchmark 4.06/4.24 % Time limit reached! 4.06/4.24 % ------------------------------ 4.06/4.24 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 4.06/4.24 % Termination reason: Time limit 4.06/4.24 % Termination phase: Saturation 4.06/4.24 4.06/4.24 % Memory used [KB]: 68570 4.06/4.24 % Time elapsed: 0.800 s 4.06/4.24 % ------------------------------ 4.06/4.24 % ------------------------------ 4.08/4.31 % ott+11_8:1_av=off:bs=on:bce=on:fde=none:gsp=input_only:gs=on:gsem=on:irw=on:lcm=predicate:nm=6:nwc=1.5:sd=2:ss=axioms:st=1.2:sos=theory:urr=on:updr=off_7 on theBenchmark 5.14/5.38 % Time limit reached! 5.14/5.38 % ------------------------------ 5.14/5.38 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 5.14/5.38 % Termination reason: Time limit 5.14/5.38 % Termination phase: Saturation 5.14/5.38 5.14/5.38 % Memory used [KB]: 73303 5.14/5.38 % Time elapsed: 1.100 s 5.14/5.38 % ------------------------------ 5.14/5.38 % ------------------------------ 5.21/5.45 % ott+1002_128_av=off:bd=off:bs=on:bsr=on:cond=on:fsr=off:nm=6:newcnf=on:nwc=1:sp=reverse_arity:updr=off_62 on theBenchmark 13.51/13.65 % Time limit reached! 13.51/13.65 % ------------------------------ 13.51/13.65 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 13.51/13.65 % Termination reason: Time limit 13.51/13.65 % Termination phase: Saturation 13.51/13.65 13.51/13.65 % Memory used [KB]: 208909 13.51/13.65 % Time elapsed: 8.200 s 13.51/13.65 % ------------------------------ 13.51/13.65 % ------------------------------ 13.58/13.75 % lrs+1_4_afp=100000:afq=1.2:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:stl=30:sd=2:ss=axioms:st=2.0:sos=all:updr=off_7 on theBenchmark 14.73/14.84 % Time limit reached! 14.73/14.84 % ------------------------------ 14.73/14.84 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 14.73/14.84 % Termination reason: Time limit 14.73/14.84 % Termination phase: Saturation 14.73/14.84 14.73/14.84 % Memory used [KB]: 70233 14.73/14.84 % Time elapsed: 1.100 s 14.73/14.84 % ------------------------------ 14.73/14.84 % ------------------------------ 14.77/14.91 % dis+10_3_av=off:irw=on:nm=0:nwc=1:sd=1:ss=axioms:st=5.0:sos=all:sp=occurrence:updr=off_6 on theBenchmark 15.81/15.91 % Time limit reached! 15.81/15.91 % ------------------------------ 15.81/15.91 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 15.81/15.91 % Termination reason: Time limit 15.81/15.91 % Termination phase: Saturation 15.81/15.91 15.81/15.91 % Memory used [KB]: 60254 15.81/15.91 % Time elapsed: 1.0000 s 15.81/15.91 % ------------------------------ 15.81/15.91 % ------------------------------ 15.81/15.95 % dis+10_5_av=off:cond=on:gs=on:gsem=off:irw=on:lcm=predicate:lma=on:lwlo=on:nm=6:nwc=1:sd=2:ss=axioms:sos=all:sp=occurrence_6 on theBenchmark 16.78/16.93 % Time limit reached! 16.78/16.93 % ------------------------------ 16.78/16.93 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 16.78/16.93 % Termination reason: Time limit 16.78/16.93 % Termination phase: Saturation 16.78/16.93 16.78/16.93 % Memory used [KB]: 75478 16.78/16.93 % Time elapsed: 1.0000 s 16.78/16.93 % ------------------------------ 16.78/16.93 % ------------------------------ 16.78/16.98 % ott+11_2:1_add=large:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_11 on theBenchmark 17.37/17.44 % Refutation found. Thanks to Tanya! 17.37/17.44 % SZS status Theorem for theBenchmark 17.37/17.44 % SZS output start Proof for theBenchmark 17.37/17.45 fof(f38459,plain,( 17.37/17.45 $false), 17.37/17.45 inference(subsumption_resolution,[],[f38458,f23639])). 17.37/17.45 fof(f23639,plain,( 17.37/17.45 ( ! [X0] : (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,X0))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK47),s(tyop_2Einteger_2Eint,X0)))))) )), 17.37/17.45 inference(unit_resulting_resolution,[],[f21856,f22881])). 17.37/17.45 fof(f22881,plain,( 17.37/17.45 ( ! [X2,X0,X1] : (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2))))) | ~p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))))) )), 17.37/17.45 inference(cnf_transformation,[],[f20583])). 17.37/17.45 fof(f20583,plain,( 17.37/17.45 ! [X0,X1,X2] : (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2))))) | ~p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1)))))), 17.37/17.45 inference(ennf_transformation,[],[f19979])). 17.37/17.45 fof(f19979,plain,( 17.37/17.45 ! [X0,X1,X2] : (p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1)))) => s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2))))))), 17.37/17.45 inference(rectify,[],[f19610])). 17.37/17.45 fof(f19610,axiom,( 17.37/17.45 ! [X87,X107,X282] : (p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X87),s(tyop_2Einteger_2Eint,X107)))) => s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X87),s(tyop_2Einteger_2Eint,X282))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X87),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X107),s(tyop_2Einteger_2Eint,X282))))))), 17.37/17.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__LSUB)). 17.37/17.45 fof(f21856,plain,( 17.37/17.45 p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,sK47))))), 17.37/17.45 inference(cnf_transformation,[],[f20792])). 17.37/17.45 fof(f20792,plain,( 17.37/17.45 s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,sK48))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK48),s(tyop_2Einteger_2Eint,sK47))))) & p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,sK47))))), 17.37/17.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47,sK48])],[f20258,f20791])). 17.37/17.45 fof(f20791,plain,( 17.37/17.45 ? [X0,X1,X2] : (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X1))))) & p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))))) => (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,sK48))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK48),s(tyop_2Einteger_2Eint,sK47))))) & p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,sK47)))))), 17.37/17.45 introduced(choice_axiom,[])). 17.37/17.45 fof(f20258,plain,( 17.37/17.45 ? [X0,X1,X2] : (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X1))))) & p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1)))))), 17.37/17.45 inference(ennf_transformation,[],[f19627])). 17.37/17.45 fof(f19627,plain,( 17.37/17.45 ~! [X0,X1,X2] : (p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1)))) => s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X1))))))), 17.37/17.45 inference(rectify,[],[f19524])). 17.37/17.45 fof(f19524,negated_conjecture,( 17.37/17.45 ~! [X87,X107,X282] : (p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X87),s(tyop_2Einteger_2Eint,X107)))) => s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X87),s(tyop_2Einteger_2Eint,X282))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X87),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X282),s(tyop_2Einteger_2Eint,X107))))))), 17.37/17.45 inference(negated_conjecture,[],[f19523])). 17.37/17.45 fof(f19523,conjecture,( 17.37/17.45 ! [X87,X107,X282] : (p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X87),s(tyop_2Einteger_2Eint,X107)))) => s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X87),s(tyop_2Einteger_2Eint,X282))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X87),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X282),s(tyop_2Einteger_2Eint,X107))))))), 17.37/17.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB)). 17.37/17.45 fof(f38458,plain,( 17.37/17.45 s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,sK48))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK47),s(tyop_2Einteger_2Eint,sK48)))))), 17.37/17.45 inference(forward_demodulation,[],[f38457,f21993])). 17.37/17.45 fof(f21993,plain,( 17.37/17.45 ( ! [X0,X1] : (s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1)))))) )), 17.37/17.45 inference(cnf_transformation,[],[f19749])). 17.37/17.45 fof(f19749,plain,( 17.37/17.45 ! [X0,X1] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1)))))), 17.37/17.45 inference(rectify,[],[f19500])). 17.37/17.45 fof(f19500,axiom,( 17.37/17.45 ! [X9,X10] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X10),s(tyop_2Einteger_2Eint,X9))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X9),s(tyop_2Einteger_2Eint,X10)))))), 17.37/17.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__NEG__SUB)). 17.37/17.45 fof(f38457,plain,( 17.37/17.45 s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,sK48))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK48),s(tyop_2Einteger_2Eint,sK47)))))))), 17.37/17.45 inference(forward_demodulation,[],[f37829,f23492])). 17.37/17.45 fof(f23492,plain,( 17.37/17.45 ( ! [X2,X0,X3,X1] : (s(X0,X1) = s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),sK411(X0,X1,X2,X3)),s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))) )), 17.37/17.45 inference(cnf_transformation,[],[f21847])). 17.37/17.45 fof(f21847,plain,( 17.37/17.45 ! [X0,X1,X2,X3] : (s(X0,X1) = s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),sK411(X0,X1,X2,X3)),s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))) & ! [X5] : s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),sK411(X0,X1,X2,X3)),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X5))))) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(X0,X0)),X3),s(tyop_2Enum_2Enum,X5))),s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),sK411(X0,X1,X2,X3)),s(tyop_2Enum_2Enum,X5))))) & ! [X6] : s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),sK411(X0,X1,X2,X3)),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X6))))) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(X0,X0)),X2),s(tyop_2Enum_2Enum,X6))),s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),sK411(X0,X1,X2,X3)),s(tyop_2Enum_2Enum,X6))))))), 17.37/17.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK411])],[f20252,f21846])). 17.37/17.45 fof(f21846,plain,( 17.37/17.45 ! [X3,X2,X1,X0] : (? [X4] : (s(X0,X1) = s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),X4),s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))) & ! [X5] : s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),X4),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X5))))) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(X0,X0)),X3),s(tyop_2Enum_2Enum,X5))),s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),X4),s(tyop_2Enum_2Enum,X5))))) & ! [X6] : s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),X4),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X6))))) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(X0,X0)),X2),s(tyop_2Enum_2Enum,X6))),s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),X4),s(tyop_2Enum_2Enum,X6)))))) => (s(X0,X1) = s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),sK411(X0,X1,X2,X3)),s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))) & ! [X5] : s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),sK411(X0,X1,X2,X3)),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X5))))) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(X0,X0)),X3),s(tyop_2Enum_2Enum,X5))),s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),sK411(X0,X1,X2,X3)),s(tyop_2Enum_2Enum,X5))))) & ! [X6] : s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),sK411(X0,X1,X2,X3)),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X6))))) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(X0,X0)),X2),s(tyop_2Enum_2Enum,X6))),s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),sK411(X0,X1,X2,X3)),s(tyop_2Enum_2Enum,X6)))))))), 17.37/17.45 introduced(choice_axiom,[])). 17.37/17.45 fof(f20252,plain,( 17.37/17.45 ! [X0,X1,X2,X3] : ? [X4] : (s(X0,X1) = s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),X4),s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))) & ! [X5] : s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),X4),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X5))))) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(X0,X0)),X3),s(tyop_2Enum_2Enum,X5))),s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),X4),s(tyop_2Enum_2Enum,X5))))) & ! [X6] : s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),X4),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X6))))) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(X0,X0)),X2),s(tyop_2Enum_2Enum,X6))),s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),X4),s(tyop_2Enum_2Enum,X6))))))), 17.37/17.45 inference(rectify,[],[f2439])). 17.37/17.45 fof(f2439,axiom,( 17.37/17.45 ! [X0,X351,X352,X353] : ? [X92] : (s(X0,X351) = s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),X92),s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))) & ! [X354] : s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),X92),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X354))))) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(X0,X0)),X353),s(tyop_2Enum_2Enum,X354))),s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),X92),s(tyop_2Enum_2Enum,X354))))) & ! [X314] : s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),X92),s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X314))))) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(X0,X0)),X352),s(tyop_2Enum_2Enum,X314))),s(X0,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,X0),X92),s(tyop_2Enum_2Enum,X314))))))), 17.37/17.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Enumeral_2Ebit__initiality)). 17.37/17.45 fof(f37829,plain,( 17.37/17.45 ( ! [X0,X1] : (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK48),s(tyop_2Einteger_2Eint,sK47))))))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),sK411(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,sK48)),X0,X1)),s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))) )), 17.37/17.45 inference(unit_resulting_resolution,[],[f23492,f22894,f21857,f21858])). 17.37/17.45 fof(f21858,plain,( 17.37/17.45 ( ! [X4,X2,X0,X3,X1] : (s(X0,X3) = s(X0,X4) | s(X0,X1) != s(X0,X2) | s(X0,X1) != s(X0,X3) | s(X0,X2) != s(X0,X4)) )), 17.37/17.45 inference(cnf_transformation,[],[f20260])). 17.37/17.45 fof(f20260,plain,( 17.37/17.45 ! [X0,X1,X2,X3,X4] : (s(X0,X3) = s(X0,X4) | s(X0,X1) != s(X0,X2) | s(X0,X1) != s(X0,X3) | s(X0,X2) != s(X0,X4))), 17.37/17.45 inference(flattening,[],[f20259])). 17.37/17.45 fof(f20259,plain,( 17.37/17.45 ! [X0,X1,X2,X3,X4] : ((s(X0,X3) = s(X0,X4) | s(X0,X1) != s(X0,X2)) | (s(X0,X1) != s(X0,X3) | s(X0,X2) != s(X0,X4)))), 17.37/17.45 inference(ennf_transformation,[],[f19628])). 17.37/17.45 fof(f19628,plain,( 17.37/17.45 ! [X0,X1,X2,X3,X4] : ((s(X0,X1) = s(X0,X3) & s(X0,X2) = s(X0,X4)) => (s(X0,X1) = s(X0,X2) => s(X0,X3) = s(X0,X4)))), 17.37/17.45 inference(rectify,[],[f12101])). 17.37/17.45 fof(f12101,axiom,( 17.37/17.45 ! [X0,X16,X24,X25,X26] : ((s(X0,X16) = s(X0,X25) & s(X0,X24) = s(X0,X26)) => (s(X0,X16) = s(X0,X24) => s(X0,X25) = s(X0,X26)))), 17.37/17.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Equotient_2EEQUALS__IMPLIES)). 17.37/17.45 fof(f21857,plain,( 17.37/17.45 s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,sK48))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK46),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK48),s(tyop_2Einteger_2Eint,sK47)))))), 17.37/17.45 inference(cnf_transformation,[],[f20792])). 17.37/17.45 fof(f22894,plain,( 17.37/17.45 ( ! [X0,X1] : (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X1)))))) )), 17.37/17.45 inference(cnf_transformation,[],[f19985])). 17.37/17.45 fof(f19985,plain,( 17.37/17.45 ! [X0,X1] : (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X1))))) & s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X0))),s(tyop_2Einteger_2Eint,X1))))), 17.37/17.45 inference(rectify,[],[f19601])). 17.37/17.45 fof(f19601,axiom,( 17.37/17.45 ! [X87,X107] : (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X87),s(tyop_2Einteger_2Eint,X107))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X87),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X107))))) & s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X87),s(tyop_2Einteger_2Eint,X107))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X87))),s(tyop_2Einteger_2Eint,X107))))), 17.37/17.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__NEG)). 17.37/17.45 % SZS output end Proof for theBenchmark 17.37/17.45 % ------------------------------ 17.37/17.45 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 17.37/17.45 % Termination reason: Refutation 17.37/17.45 17.37/17.45 % Memory used [KB]: 72024 17.37/17.45 % Time elapsed: 0.495 s 17.37/17.45 % ------------------------------ 17.37/17.45 % ------------------------------ 17.37/17.46 % Success in time 17.138 s 17.41/17.48 EOF