0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : vampire --mode casc -t %d %s 0.11/0.32 % Computer : n007.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % DateTime : Thu Jul 2 06:51:54 EDT 2020 0.11/0.32 % CPUTime : 0.16/0.39 % dis+1011_10_add=large:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_2 on theBenchmark 0.16/0.39 % Refutation found. Thanks to Tanya! 0.16/0.39 % SZS status Theorem for theBenchmark 0.16/0.39 % SZS output start Proof for theBenchmark 0.16/0.39 fof(f139,plain,( 0.16/0.39 $false), 0.16/0.39 inference(resolution,[],[f135,f78])). 0.16/0.39 fof(f78,plain,( 0.16/0.39 ( ! [X0] : (r1(sK7(X0))) )), 0.16/0.39 inference(cnf_transformation,[],[f49])). 0.16/0.39 fof(f49,plain,( 0.16/0.39 ! [X0] : ((id(sK5(X0),sK6(X0)) & r1(sK6(X0))) & (r1(sK7(X0)) & r4(X0,sK7(X0),sK5(X0))))), 0.16/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f25,f48,f47,f46])). 0.16/0.39 fof(f46,plain,( 0.16/0.39 ! [X0] : (? [X1] : (? [X2] : (id(X1,X2) & r1(X2)) & ? [X3] : (r1(X3) & r4(X0,X3,X1))) => (? [X2] : (id(sK5(X0),X2) & r1(X2)) & ? [X3] : (r1(X3) & r4(X0,X3,sK5(X0)))))), 0.16/0.39 introduced(choice_axiom,[])). 0.16/0.39 fof(f47,plain,( 0.16/0.39 ( ! [X1] : (! [X0] : (? [X2] : (id(X1,X2) & r1(X2)) => (id(X1,sK6(X0)) & r1(sK6(X0))))) )), 0.16/0.39 introduced(choice_axiom,[])). 0.16/0.39 fof(f48,plain,( 0.16/0.39 ( ! [X1] : (! [X0] : (? [X3] : (r1(X3) & r4(X0,X3,X1)) => (r1(sK7(X0)) & r4(X0,sK7(X0),X1)))) )), 0.16/0.39 introduced(choice_axiom,[])). 0.16/0.39 fof(f25,plain,( 0.16/0.39 ! [X0] : ? [X1] : (? [X2] : (id(X1,X2) & r1(X2)) & ? [X3] : (r1(X3) & r4(X0,X3,X1)))), 0.16/0.39 inference(rectify,[],[f11])). 0.16/0.39 fof(f11,axiom,( 0.16/0.39 ! [X36] : ? [X37] : (? [X39] : (id(X37,X39) & r1(X39)) & ? [X38] : (r1(X38) & r4(X36,X38,X37)))), 0.16/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a)). 0.16/0.39 fof(f135,plain,( 0.16/0.39 ( ! [X0] : (~r1(X0)) )), 0.16/0.39 inference(duplicate_literal_removal,[],[f134])). 0.16/0.39 fof(f134,plain,( 0.16/0.39 ( ! [X0] : (~r1(X0) | ~r1(X0)) )), 0.16/0.39 inference(resolution,[],[f133,f100])). 0.16/0.39 fof(f100,plain,( 0.16/0.39 ( ! [X0,X1] : (r2(X1,sK15(X0,X1))) )), 0.16/0.39 inference(cnf_transformation,[],[f61])). 0.16/0.39 fof(f61,plain,( 0.16/0.39 ! [X0,X1] : (((r3(X0,sK15(X0,X1),sK14(X0,X1)) & r2(X1,sK15(X0,X1))) & id(sK14(X0,X1),sK13(X0,X1))) & (r2(sK16(X0,X1),sK13(X0,X1)) & r3(X0,X1,sK16(X0,X1))))), 0.16/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f31,f60,f59,f58,f57])). 0.16/0.39 fof(f57,plain,( 0.16/0.39 ! [X1,X0] : (? [X2] : (? [X3] : (? [X4] : (r3(X0,X4,X3) & r2(X1,X4)) & id(X3,X2)) & ? [X5] : (r2(X5,X2) & r3(X0,X1,X5))) => (? [X3] : (? [X4] : (r3(X0,X4,X3) & r2(X1,X4)) & id(X3,sK13(X0,X1))) & ? [X5] : (r2(X5,sK13(X0,X1)) & r3(X0,X1,X5))))), 0.16/0.39 introduced(choice_axiom,[])). 0.16/0.39 fof(f58,plain,( 0.16/0.39 ( ! [X2] : (! [X1,X0] : (? [X3] : (? [X4] : (r3(X0,X4,X3) & r2(X1,X4)) & id(X3,X2)) => (? [X4] : (r3(X0,X4,sK14(X0,X1)) & r2(X1,X4)) & id(sK14(X0,X1),X2)))) )), 0.16/0.39 introduced(choice_axiom,[])). 0.16/0.39 fof(f59,plain,( 0.16/0.39 ( ! [X3] : (! [X1,X0] : (? [X4] : (r3(X0,X4,X3) & r2(X1,X4)) => (r3(X0,sK15(X0,X1),X3) & r2(X1,sK15(X0,X1))))) )), 0.16/0.39 introduced(choice_axiom,[])). 0.16/0.39 fof(f60,plain,( 0.16/0.39 ( ! [X2] : (! [X1,X0] : (? [X5] : (r2(X5,X2) & r3(X0,X1,X5)) => (r2(sK16(X0,X1),X2) & r3(X0,X1,sK16(X0,X1))))) )), 0.16/0.39 introduced(choice_axiom,[])). 0.16/0.39 fof(f31,plain,( 0.16/0.39 ! [X0,X1] : ? [X2] : (? [X3] : (? [X4] : (r3(X0,X4,X3) & r2(X1,X4)) & id(X3,X2)) & ? [X5] : (r2(X5,X2) & r3(X0,X1,X5)))), 0.16/0.39 inference(rectify,[],[f18])). 0.16/0.39 fof(f18,axiom,( 0.16/0.39 ! [X61,X62] : ? [X63] : (? [X65] : (? [X66] : (r3(X61,X66,X65) & r2(X62,X66)) & id(X65,X63)) & ? [X64] : (r2(X64,X63) & r3(X61,X62,X64)))), 0.16/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a)). 0.16/0.39 fof(f133,plain,( 0.16/0.39 ( ! [X2,X0,X1] : (~r2(X1,sK15(X2,X0)) | ~r1(X0) | ~r1(X1)) )), 0.16/0.39 inference(resolution,[],[f131,f76])). 0.16/0.39 fof(f76,plain,( 0.16/0.39 ( ! [X0] : (id(sK3(X0),X0)) )), 0.16/0.39 inference(cnf_transformation,[],[f45])). 0.16/0.39 fof(f45,plain,( 0.16/0.39 ! [X0] : (id(sK3(X0),X0) & (r3(X0,sK4(X0),sK3(X0)) & r1(sK4(X0))))), 0.16/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f24,f44,f43])). 0.16/0.39 fof(f43,plain,( 0.16/0.39 ! [X0] : (? [X1] : (id(X1,X0) & ? [X2] : (r3(X0,X2,X1) & r1(X2))) => (id(sK3(X0),X0) & ? [X2] : (r3(X0,X2,sK3(X0)) & r1(X2))))), 0.16/0.39 introduced(choice_axiom,[])). 0.16/0.39 fof(f44,plain,( 0.16/0.39 ( ! [X1] : (! [X0] : (? [X2] : (r3(X0,X2,X1) & r1(X2)) => (r3(X0,sK4(X0),X1) & r1(sK4(X0))))) )), 0.16/0.39 introduced(choice_axiom,[])). 0.16/0.39 fof(f24,plain,( 0.16/0.39 ! [X0] : ? [X1] : (id(X1,X0) & ? [X2] : (r3(X0,X2,X1) & r1(X2)))), 0.16/0.39 inference(rectify,[],[f17])). 0.16/0.39 fof(f17,axiom,( 0.16/0.39 ! [X58] : ? [X59] : (id(X59,X58) & ? [X60] : (r3(X58,X60,X59) & r1(X60)))), 0.16/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a)). 0.16/0.39 fof(f131,plain,( 0.16/0.39 ( ! [X2,X0,X3,X1] : (~id(sK3(X0),sK15(X1,X2)) | ~r1(X2) | ~r2(X3,X0) | ~r1(X3)) )), 0.16/0.39 inference(subsumption_resolution,[],[f129,f74])). 0.16/0.39 fof(f74,plain,( 0.16/0.39 ( ! [X0] : (r1(sK4(X0))) )), 0.16/0.39 inference(cnf_transformation,[],[f45])). 0.16/0.39 fof(f129,plain,( 0.16/0.39 ( ! [X2,X0,X3,X1] : (~id(sK3(X0),sK15(X1,X2)) | ~r1(sK4(X0)) | ~r1(X2) | ~r2(X3,X0) | ~r1(X3)) )), 0.16/0.39 inference(resolution,[],[f75,f128])). 0.16/0.39 fof(f128,plain,( 0.16/0.39 ( ! [X4,X2,X0,X5,X3,X1] : (~r3(X4,X3,X1) | ~id(X1,sK15(X2,X0)) | ~r1(X3) | ~r1(X0) | ~r2(X5,X4) | ~r1(X5)) )), 0.16/0.39 inference(resolution,[],[f100,f68])). 0.16/0.39 fof(f68,plain,( 0.16/0.39 ( ! [X4,X2,X0,X5,X3,X1] : (~r2(X2,X1) | ~r1(X2) | ~id(X0,X1) | ~r1(X4) | ~r3(X3,X4,X0) | ~r2(X5,X3) | ~r1(X5)) )), 0.16/0.39 inference(cnf_transformation,[],[f39])). 0.16/0.39 fof(f39,plain,( 0.16/0.39 ! [X0] : (! [X1] : (! [X2] : (~r2(X2,X1) | ~r1(X2)) | ~id(X0,X1)) | ! [X3] : (! [X4] : (~r1(X4) | ~r3(X3,X4,X0)) | ! [X5] : (~r2(X5,X3) | ~r1(X5))))), 0.16/0.39 inference(ennf_transformation,[],[f21])). 0.16/0.39 fof(f21,plain,( 0.16/0.39 ~? [X0] : (? [X1] : (? [X2] : (r2(X2,X1) & r1(X2)) & id(X0,X1)) & ? [X3] : (? [X4] : (r1(X4) & r3(X3,X4,X0)) & ? [X5] : (r2(X5,X3) & r1(X5))))), 0.16/0.39 inference(rectify,[],[f20])). 0.16/0.39 fof(f20,negated_conjecture,( 0.16/0.39 ~? [X22] : (? [X9] : (? [X11] : (r2(X11,X9) & r1(X11)) & id(X22,X9)) & ? [X8] : (? [X63] : (r1(X63) & r3(X8,X63,X22)) & ? [X65] : (r2(X65,X8) & r1(X65))))), 0.16/0.39 inference(negated_conjecture,[],[f19])). 0.16/0.39 fof(f19,conjecture,( 0.16/0.39 ? [X22] : (? [X9] : (? [X11] : (r2(X11,X9) & r1(X11)) & id(X22,X9)) & ? [X8] : (? [X63] : (r1(X63) & r3(X8,X63,X22)) & ? [X65] : (r2(X65,X8) & r1(X65))))), 0.16/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',onepluszeroidone)). 0.16/0.39 fof(f75,plain,( 0.16/0.39 ( ! [X0] : (r3(X0,sK4(X0),sK3(X0))) )), 0.16/0.39 inference(cnf_transformation,[],[f45])). 0.16/0.39 % SZS output end Proof for theBenchmark 0.16/0.39 % ------------------------------ 0.16/0.39 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.16/0.39 % Termination reason: Refutation 0.16/0.39 0.16/0.39 % Memory used [KB]: 5117 0.16/0.39 % Time elapsed: 0.005 s 0.16/0.39 % ------------------------------ 0.16/0.39 % ------------------------------ 0.16/0.39 % Success in time 0.067 s 0.16/0.39 EOF