0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.23 % Computer : n123.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 05:29:55 CDT 2018 0.03/0.23 % CPUTime : 0.40/0.59 % dis+11_8:1_afp=100000:afq=1.2:amm=off:anc=none:cond=on:gs=on:gsem=off:lcm=reverse:lma=on:nm=64:nwc=1:sd=1:ss=axioms:sp=occurrence:urr=on_11 on theBenchmark 1.92/2.19 % Time limit reached! 1.92/2.19 % ------------------------------ 1.92/2.19 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 1.92/2.19 % Termination reason: Time limit 1.92/2.19 % Termination phase: Saturation 1.92/2.19 1.92/2.19 % Memory used [KB]: 20468 1.92/2.19 % Time elapsed: 1.600 s 1.92/2.19 % ------------------------------ 1.92/2.19 % ------------------------------ 2.01/2.23 % 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 2.20/2.45 % Refutation found. Thanks to Tanya! 2.20/2.45 % SZS status Theorem for theBenchmark 2.20/2.45 % SZS output start Proof for theBenchmark 2.20/2.45 fof(f805,axiom,( 2.20/2.45 ! [X128,X57,X187,X159] : (c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X159),X187,X57,X128) => ~! [X86] : (hAPP(c_Nat_OSuc,X86) = X57 => ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X159)),X187,X86,X128)))), 2.20/2.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_evaln__elim__cases_I6_J)). 2.20/2.45 fof(f1320,axiom,( 2.20/2.45 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 2.20/2.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_bot__nat__def)). 2.20/2.45 fof(f1535,conjecture,( 2.20/2.45 ! [X81,X82] : (v_P(X81,X82) => ! [X83] : (c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X82,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X83) => v_Q(X81,X83)))), 2.20/2.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 2.20/2.45 fof(f1536,negated_conjecture,( 2.20/2.45 ~! [X81,X82] : (v_P(X81,X82) => ! [X83] : (c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X82,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X83) => v_Q(X81,X83)))), 2.20/2.45 inference(negated_conjecture,[],[f1535])). 2.20/2.45 fof(f4188,axiom,( 2.20/2.45 ! [X71] : hAPP(c_Nat_OSuc,X71) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 2.20/2.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__not__Zero)). 2.20/2.45 fof(f5209,plain,( 2.20/2.45 ~! [X0,X1] : (v_P(X0,X1) => ! [X2] : (c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) => v_Q(X0,X2)))), 2.20/2.45 inference(rectify,[],[f1536])). 2.20/2.45 fof(f5683,plain,( 2.20/2.45 ! [X0] : hAPP(c_Nat_OSuc,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 2.20/2.45 inference(rectify,[],[f4188])). 2.20/2.45 fof(f5959,plain,( 2.20/2.45 ! [X0,X1,X2,X3] : (c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X3),X2,X1,X0) => ~! [X4] : (hAPP(c_Nat_OSuc,X4) = X1 => ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X4,X0)))), 2.20/2.45 inference(rectify,[],[f805])). 2.20/2.45 fof(f7101,plain,( 2.20/2.45 ? [X0,X1] : (? [X2] : (~v_Q(X0,X2) & c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)) & v_P(X0,X1))), 2.20/2.45 inference(ennf_transformation,[],[f5209])). 2.20/2.45 fof(f7577,plain,( 2.20/2.45 ! [X0,X1,X2,X3] : (? [X4] : (c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X4,X0) & hAPP(c_Nat_OSuc,X4) = X1) | ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X3),X2,X1,X0))), 2.20/2.45 inference(ennf_transformation,[],[f5959])). 2.20/2.45 fof(f8595,plain,( 2.20/2.45 ? [X0,X1] : (? [X2] : (~v_Q(X0,X2) & c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)) & v_P(X0,X1)) => (? [X2] : (~v_Q(sK7,X2) & c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sK8,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)) & v_P(sK7,sK8))), 2.20/2.45 introduced(choice_axiom,[])). 2.20/2.45 fof(f8596,plain,( 2.20/2.45 ( ! [X0,X1] : (? [X2] : (~v_Q(X0,X2) & c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)) => (~v_Q(X0,sK9) & c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK9))) )), 2.20/2.45 introduced(choice_axiom,[])). 2.20/2.45 fof(f8597,plain,( 2.20/2.45 (~v_Q(sK7,sK9) & c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sK8,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK9)) & v_P(sK7,sK8)), 2.20/2.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f7101,f8596,f8595])). 2.20/2.45 fof(f9025,plain,( 2.20/2.45 ! [X3,X2,X1,X0] : (? [X4] : (c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X4,X0) & hAPP(c_Nat_OSuc,X4) = X1) => (c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,sK85(X0,X1,X2,X3),X0) & hAPP(c_Nat_OSuc,sK85(X0,X1,X2,X3)) = X1))), 2.20/2.45 introduced(choice_axiom,[])). 2.20/2.45 fof(f9026,plain,( 2.20/2.45 ! [X0,X1,X2,X3] : ((c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,sK85(X0,X1,X2,X3),X0) & hAPP(c_Nat_OSuc,sK85(X0,X1,X2,X3)) = X1) | ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X3),X2,X1,X0))), 2.20/2.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK85])],[f7577,f9025])). 2.20/2.45 fof(f9554,plain,( 2.20/2.45 c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sK8,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK9)), 2.20/2.45 inference(cnf_transformation,[],[f8597])). 2.20/2.45 fof(f9737,plain,( 2.20/2.45 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 2.20/2.45 inference(cnf_transformation,[],[f1320])). 2.20/2.45 fof(f10317,plain,( 2.20/2.45 ( ! [X0] : (hAPP(c_Nat_OSuc,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )), 2.20/2.45 inference(cnf_transformation,[],[f5683])). 2.20/2.45 fof(f10777,plain,( 2.20/2.45 ( ! [X2,X0,X3,X1] : (~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X3),X2,X1,X0) | hAPP(c_Nat_OSuc,sK85(X0,X1,X2,X3)) = X1) )), 2.20/2.45 inference(cnf_transformation,[],[f9026])). 2.20/2.45 fof(f13086,plain,( 2.20/2.45 c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sK8,c_Orderings_Obot__class_Obot(tc_Nat_Onat),sK9)), 2.20/2.45 inference(backward_demodulation,[],[f9737,f9554])). 2.20/2.45 fof(f13088,plain,( 2.20/2.45 ( ! [X0] : (hAPP(c_Nat_OSuc,X0) != c_Orderings_Obot__class_Obot(tc_Nat_Onat)) )), 2.20/2.45 inference(forward_demodulation,[],[f10317,f9737])). 2.20/2.45 fof(f23787,plain,( 2.20/2.45 hAPP(c_Nat_OSuc,sK85(sK9,c_Orderings_Obot__class_Obot(tc_Nat_Onat),sK8,v_pn)) = c_Orderings_Obot__class_Obot(tc_Nat_Onat)), 2.20/2.45 inference(resolution,[],[f10777,f13086])). 2.20/2.45 fof(f23804,plain,( 2.20/2.45 c_Orderings_Obot__class_Obot(tc_Nat_Onat) != c_Orderings_Obot__class_Obot(tc_Nat_Onat)), 2.20/2.45 inference(superposition,[],[f13088,f23787])). 2.20/2.45 fof(f23830,plain,( 2.20/2.45 $false), 2.20/2.45 inference(trivial_inequality_removal,[],[f23804])). 2.20/2.45 % SZS output end Proof for theBenchmark 2.20/2.45 % ------------------------------ 2.20/2.45 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.20/2.45 % Termination reason: Refutation 2.20/2.45 2.20/2.45 % Memory used [KB]: 14200 2.20/2.45 % Time elapsed: 0.223 s 2.20/2.45 % ------------------------------ 2.20/2.45 % ------------------------------ 2.20/2.45 % Success in time 2.218 s 2.20/2.46 EOF