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 0.10/0.31 % Computer : n031.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % DateTime : Thu Jul 2 07:46:02 EDT 2020 0.10/0.31 % CPUTime : 0.16/0.37 % 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 0.16/0.38 % Refutation found. Thanks to Tanya! 0.16/0.38 % SZS status Theorem for theBenchmark 0.16/0.38 % SZS output start Proof for theBenchmark 0.16/0.38 fof(f197,plain,( 0.16/0.38 $false), 0.16/0.38 inference(resolution,[],[f196,f73])). 0.16/0.38 fof(f73,plain,( 0.16/0.38 ( ! [X0] : (id(X0,X0)) )), 0.16/0.38 inference(cnf_transformation,[],[f22])). 0.16/0.38 fof(f22,plain,( 0.16/0.38 ! [X0] : id(X0,X0)), 0.16/0.38 inference(rectify,[],[f7])). 0.16/0.38 fof(f7,axiom,( 0.16/0.38 ! [X24] : id(X24,X24)), 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5)). 0.16/0.38 fof(f196,plain,( 0.16/0.38 ( ! [X2,X0,X1] : (~id(sK18(sK0,sK14(X0,X1)),X2)) )), 0.16/0.38 inference(resolution,[],[f194,f101])). 0.16/0.38 fof(f101,plain,( 0.16/0.38 ( ! [X0,X1] : (r3(X0,X1,sK18(X0,X1))) )), 0.16/0.38 inference(cnf_transformation,[],[f64])). 0.16/0.38 fof(f64,plain,( 0.16/0.38 ! [X0,X1] : (((r3(X0,sK17(X0,X1),sK16(X0,X1)) & r2(X1,sK17(X0,X1))) & id(sK16(X0,X1),sK15(X0,X1))) & (r2(sK18(X0,X1),sK15(X0,X1)) & r3(X0,X1,sK18(X0,X1))))), 0.16/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18])],[f31,f63,f62,f61,f60])). 0.16/0.38 fof(f60,plain,( 0.16/0.38 ! [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,sK15(X0,X1))) & ? [X5] : (r2(X5,sK15(X0,X1)) & r3(X0,X1,X5))))), 0.16/0.38 introduced(choice_axiom,[])). 0.16/0.38 fof(f61,plain,( 0.16/0.38 ( ! [X2] : (! [X1,X0] : (? [X3] : (? [X4] : (r3(X0,X4,X3) & r2(X1,X4)) & id(X3,X2)) => (? [X4] : (r3(X0,X4,sK16(X0,X1)) & r2(X1,X4)) & id(sK16(X0,X1),X2)))) )), 0.16/0.38 introduced(choice_axiom,[])). 0.16/0.38 fof(f62,plain,( 0.16/0.38 ( ! [X3] : (! [X1,X0] : (? [X4] : (r3(X0,X4,X3) & r2(X1,X4)) => (r3(X0,sK17(X0,X1),X3) & r2(X1,sK17(X0,X1))))) )), 0.16/0.38 introduced(choice_axiom,[])). 0.16/0.38 fof(f63,plain,( 0.16/0.38 ( ! [X2] : (! [X1,X0] : (? [X5] : (r2(X5,X2) & r3(X0,X1,X5)) => (r2(sK18(X0,X1),X2) & r3(X0,X1,sK18(X0,X1))))) )), 0.16/0.38 introduced(choice_axiom,[])). 0.16/0.38 fof(f31,plain,( 0.16/0.38 ! [X0,X1] : ? [X2] : (? [X3] : (? [X4] : (r3(X0,X4,X3) & r2(X1,X4)) & id(X3,X2)) & ? [X5] : (r2(X5,X2) & r3(X0,X1,X5)))), 0.16/0.38 inference(rectify,[],[f18])). 0.16/0.38 fof(f18,axiom,( 0.16/0.38 ! [X61,X62] : ? [X63] : (? [X65] : (? [X66] : (r3(X61,X66,X65) & r2(X62,X66)) & id(X65,X63)) & ? [X64] : (r2(X64,X63) & r3(X61,X62,X64)))), 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a)). 0.16/0.38 fof(f194,plain,( 0.16/0.38 ( ! [X6,X8,X7,X5] : (~r3(sK0,sK14(X5,X6),X7) | ~id(X7,X8)) )), 0.16/0.38 inference(subsumption_resolution,[],[f190,f72])). 0.16/0.38 fof(f72,plain,( 0.16/0.38 ( ! [X2,X3,X1] : (r1(sK1(X2)) | ~r3(sK0,X2,X3) | ~id(X3,X1)) )), 0.16/0.38 inference(cnf_transformation,[],[f42])). 0.16/0.38 fof(f42,plain,( 0.16/0.38 ! [X1,X2] : (! [X3] : (~id(X3,X1) | ~r3(sK0,X2,X3)) | (r1(sK1(X2)) & id(X2,sK1(X2))))), 0.16/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f39,f41,f40])). 0.16/0.38 fof(f40,plain,( 0.16/0.38 ? [X0] : ! [X1,X2] : (! [X3] : (~id(X3,X1) | ~r3(X0,X2,X3)) | ? [X4] : (r1(X4) & id(X2,X4))) => ! [X2,X1] : (! [X3] : (~id(X3,X1) | ~r3(sK0,X2,X3)) | ? [X4] : (r1(X4) & id(X2,X4)))), 0.16/0.38 introduced(choice_axiom,[])). 0.16/0.38 fof(f41,plain,( 0.16/0.38 ! [X2] : (? [X4] : (r1(X4) & id(X2,X4)) => (r1(sK1(X2)) & id(X2,sK1(X2))))), 0.16/0.38 introduced(choice_axiom,[])). 0.16/0.38 fof(f39,plain,( 0.16/0.38 ? [X0] : ! [X1,X2] : (! [X3] : (~id(X3,X1) | ~r3(X0,X2,X3)) | ? [X4] : (r1(X4) & id(X2,X4)))), 0.16/0.38 inference(ennf_transformation,[],[f21])). 0.16/0.38 fof(f21,plain,( 0.16/0.38 ~! [X0] : ? [X1,X2] : (? [X3] : (id(X3,X1) & r3(X0,X2,X3)) & ! [X4] : (~r1(X4) | ~id(X2,X4)))), 0.16/0.38 inference(rectify,[],[f20])). 0.16/0.38 fof(f20,negated_conjecture,( 0.16/0.38 ~! [X61] : ? [X8,X22] : (? [X9] : (id(X9,X8) & r3(X61,X22,X9)) & ! [X63] : (~r1(X63) | ~id(X22,X63)))), 0.16/0.38 inference(negated_conjecture,[],[f19])). 0.16/0.38 fof(f19,conjecture,( 0.16/0.38 ! [X61] : ? [X8,X22] : (? [X9] : (id(X9,X8) & r3(X61,X22,X9)) & ! [X63] : (~r1(X63) | ~id(X22,X63)))), 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infiniteNumbersid)). 0.16/0.38 fof(f190,plain,( 0.16/0.38 ( ! [X6,X8,X7,X5] : (~r1(sK1(sK14(X5,X6))) | ~r3(sK0,sK14(X5,X6),X7) | ~id(X7,X8)) )), 0.16/0.38 inference(resolution,[],[f137,f71])). 0.16/0.38 fof(f71,plain,( 0.16/0.38 ( ! [X2,X3,X1] : (id(X2,sK1(X2)) | ~r3(sK0,X2,X3) | ~id(X3,X1)) )), 0.16/0.38 inference(cnf_transformation,[],[f42])). 0.16/0.38 fof(f137,plain,( 0.16/0.38 ( ! [X4,X2,X3] : (~id(sK14(X3,X4),X2) | ~r1(X2)) )), 0.16/0.38 inference(resolution,[],[f131,f93])). 0.16/0.38 fof(f93,plain,( 0.16/0.38 ( ! [X0,X1] : (id(X1,X0) | ~id(X0,X1)) )), 0.16/0.38 inference(cnf_transformation,[],[f27])). 0.16/0.38 fof(f27,plain,( 0.16/0.38 ! [X0,X1] : (~id(X0,X1) | id(X1,X0))), 0.16/0.38 inference(rectify,[],[f15])). 0.16/0.38 fof(f15,axiom,( 0.16/0.38 ! [X53,X54] : (~id(X53,X54) | id(X54,X53))), 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6)). 0.16/0.38 fof(f131,plain,( 0.16/0.38 ( ! [X2,X0,X1] : (~id(X0,sK14(X1,X2)) | ~r1(X0)) )), 0.16/0.38 inference(resolution,[],[f94,f97])). 0.16/0.38 fof(f97,plain,( 0.16/0.38 ( ! [X0,X1] : (r2(X1,sK14(X0,X1))) )), 0.16/0.38 inference(cnf_transformation,[],[f59])). 0.16/0.38 fof(f59,plain,( 0.16/0.38 ! [X0,X1] : ((r3(sK12(X0,X1),X0,sK11(X0,X1)) & r4(X0,X1,sK12(X0,X1))) & ((r4(X0,sK14(X0,X1),sK13(X0,X1)) & r2(X1,sK14(X0,X1))) & id(sK13(X0,X1),sK11(X0,X1))))), 0.16/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14])],[f30,f58,f57,f56,f55])). 0.16/0.38 fof(f55,plain,( 0.16/0.38 ! [X1,X0] : (? [X2] : (? [X3] : (r3(X3,X0,X2) & r4(X0,X1,X3)) & ? [X4] : (? [X5] : (r4(X0,X5,X4) & r2(X1,X5)) & id(X4,X2))) => (? [X3] : (r3(X3,X0,sK11(X0,X1)) & r4(X0,X1,X3)) & ? [X4] : (? [X5] : (r4(X0,X5,X4) & r2(X1,X5)) & id(X4,sK11(X0,X1)))))), 0.16/0.38 introduced(choice_axiom,[])). 0.16/0.38 fof(f56,plain,( 0.16/0.38 ( ! [X2] : (! [X1,X0] : (? [X3] : (r3(X3,X0,X2) & r4(X0,X1,X3)) => (r3(sK12(X0,X1),X0,X2) & r4(X0,X1,sK12(X0,X1))))) )), 0.16/0.38 introduced(choice_axiom,[])). 0.16/0.38 fof(f57,plain,( 0.16/0.38 ( ! [X2] : (! [X1,X0] : (? [X4] : (? [X5] : (r4(X0,X5,X4) & r2(X1,X5)) & id(X4,X2)) => (? [X5] : (r4(X0,X5,sK13(X0,X1)) & r2(X1,X5)) & id(sK13(X0,X1),X2)))) )), 0.16/0.38 introduced(choice_axiom,[])). 0.16/0.38 fof(f58,plain,( 0.16/0.38 ( ! [X4] : (! [X1,X0] : (? [X5] : (r4(X0,X5,X4) & r2(X1,X5)) => (r4(X0,sK14(X0,X1),X4) & r2(X1,sK14(X0,X1))))) )), 0.16/0.38 introduced(choice_axiom,[])). 0.16/0.38 fof(f30,plain,( 0.16/0.38 ! [X0,X1] : ? [X2] : (? [X3] : (r3(X3,X0,X2) & r4(X0,X1,X3)) & ? [X4] : (? [X5] : (r4(X0,X5,X4) & r2(X1,X5)) & id(X4,X2)))), 0.16/0.38 inference(rectify,[],[f3])). 0.16/0.38 fof(f3,axiom,( 0.16/0.38 ! [X6,X7] : ? [X8] : (? [X11] : (r3(X11,X6,X8) & r4(X6,X7,X11)) & ? [X9] : (? [X10] : (r4(X6,X10,X9) & r2(X7,X10)) & id(X9,X8)))), 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a)). 0.16/0.38 fof(f94,plain,( 0.16/0.38 ( ! [X2,X0,X1] : (~r2(X0,X1) | ~r1(X2) | ~id(X2,X1)) )), 0.16/0.38 inference(cnf_transformation,[],[f28])). 0.16/0.38 fof(f28,plain,( 0.16/0.38 ! [X0,X1] : (~r2(X0,X1) | ! [X2] : (~r1(X2) | ~id(X2,X1)))), 0.16/0.38 inference(rectify,[],[f9])). 0.16/0.38 fof(f9,axiom,( 0.16/0.38 ! [X29,X30] : (~r2(X29,X30) | ! [X31] : (~r1(X31) | ~id(X31,X30)))), 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a)). 0.16/0.38 % SZS output end Proof for theBenchmark 0.16/0.38 % ------------------------------ 0.16/0.38 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.16/0.38 % Termination reason: Refutation 0.16/0.38 0.16/0.38 % Memory used [KB]: 5117 0.16/0.38 % Time elapsed: 0.006 s 0.16/0.38 % ------------------------------ 0.16/0.38 % ------------------------------ 0.16/0.38 % Success in time 0.064 s 0.16/0.38 EOF