0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.03/0.25 % Computer : n155.star.cs.uiowa.edu 0.03/0.25 % Model : x86_64 x86_64 0.03/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.25 % Memory : 32218.625MB 0.03/0.25 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.25 % CPULimit : 300 0.03/0.25 % DateTime : Sat Jul 14 04:23:40 CDT 2018 0.03/0.25 % CPUTime : 0.03/0.25 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.25 % remaining time: 6000 next slice time: 12 0.03/0.28 lrs+1011_3:1_av=off:cond=on:irw=on:lma=on:nm=16:nwc=1:stl=30:sos=all:updr=off_11 on theBenchmark 0.03/0.29 % Refutation found. Thanks to Tanya! 0.03/0.29 % SZS status Theorem for theBenchmark 0.03/0.29 % SZS output start Proof for theBenchmark 0.03/0.29 fof(f1,axiom,( 0.03/0.29 ? [X0] : (sorti1(X0) & ! [X1] : (sorti1(X1) => op1(X1,X1) = X0))), 0.03/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)). 0.03/0.29 fof(f2,axiom,( 0.03/0.29 ! [X0] : (sorti2(X0) => ! [X1] : (sorti2(X1) => sorti2(op2(X0,X1))))), 0.03/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)). 0.03/0.29 fof(f3,axiom,( 0.03/0.29 ~? [X0] : (! [X1] : (sorti2(X1) => op2(X1,X1) = X0) & sorti2(X0))), 0.03/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)). 0.03/0.29 fof(f4,conjecture,( 0.03/0.29 (! [X1] : (sorti2(X1) => sorti1(j(X1))) & ! [X0] : (sorti1(X0) => sorti2(h(X0)))) => ~(! [X7] : (sorti1(X7) => j(h(X7)) = X7) & ! [X6] : (sorti2(X6) => h(j(X6)) = X6) & ! [X4] : (sorti2(X4) => ! [X5] : (sorti2(X5) => op1(j(X4),j(X5)) = j(op2(X4,X5)))) & ! [X2] : (sorti1(X2) => ! [X3] : (sorti1(X3) => op2(h(X2),h(X3)) = h(op1(X2,X3)))))), 0.03/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)). 0.03/0.29 fof(f5,negated_conjecture,( 0.03/0.29 ~((! [X1] : (sorti2(X1) => sorti1(j(X1))) & ! [X0] : (sorti1(X0) => sorti2(h(X0)))) => ~(! [X7] : (sorti1(X7) => j(h(X7)) = X7) & ! [X6] : (sorti2(X6) => h(j(X6)) = X6) & ! [X4] : (sorti2(X4) => ! [X5] : (sorti2(X5) => op1(j(X4),j(X5)) = j(op2(X4,X5)))) & ! [X2] : (sorti1(X2) => ! [X3] : (sorti1(X3) => op2(h(X2),h(X3)) = h(op1(X2,X3))))))), 0.03/0.29 inference(negated_conjecture,[],[f4])). 0.03/0.29 fof(f7,plain,( 0.03/0.29 ~((! [X0] : (sorti2(X0) => sorti1(j(X0))) & ! [X1] : (sorti1(X1) => sorti2(h(X1)))) => ~(! [X2] : (sorti1(X2) => j(h(X2)) = X2) & ! [X3] : (sorti2(X3) => h(j(X3)) = X3) & ! [X4] : (sorti2(X4) => ! [X5] : (sorti2(X5) => op1(j(X4),j(X5)) = j(op2(X4,X5)))) & ! [X6] : (sorti1(X6) => ! [X7] : (sorti1(X7) => op2(h(X6),h(X7)) = h(op1(X6,X7))))))), 0.03/0.29 inference(rectify,[],[f5])). 0.03/0.29 fof(f8,plain,( 0.03/0.29 (! [X2] : (j(h(X2)) = X2 | ~sorti1(X2)) & ! [X3] : (h(j(X3)) = X3 | ~sorti2(X3)) & ! [X4] : (! [X5] : (op1(j(X4),j(X5)) = j(op2(X4,X5)) | ~sorti2(X5)) | ~sorti2(X4)) & ! [X6] : (! [X7] : (op2(h(X6),h(X7)) = h(op1(X6,X7)) | ~sorti1(X7)) | ~sorti1(X6))) & (! [X0] : (sorti1(j(X0)) | ~sorti2(X0)) & ! [X1] : (sorti2(h(X1)) | ~sorti1(X1)))), 0.03/0.29 inference(ennf_transformation,[],[f7])). 0.03/0.29 fof(f9,plain,( 0.03/0.29 ! [X2] : (j(h(X2)) = X2 | ~sorti1(X2)) & ! [X3] : (h(j(X3)) = X3 | ~sorti2(X3)) & ! [X4] : (! [X5] : (op1(j(X4),j(X5)) = j(op2(X4,X5)) | ~sorti2(X5)) | ~sorti2(X4)) & ! [X6] : (! [X7] : (op2(h(X6),h(X7)) = h(op1(X6,X7)) | ~sorti1(X7)) | ~sorti1(X6)) & ! [X0] : (sorti1(j(X0)) | ~sorti2(X0)) & ! [X1] : (sorti2(h(X1)) | ~sorti1(X1))), 0.03/0.29 inference(flattening,[],[f8])). 0.03/0.29 fof(f10,plain,( 0.03/0.29 ! [X0] : (? [X1] : (op2(X1,X1) != X0 & sorti2(X1)) | ~sorti2(X0))), 0.03/0.29 inference(ennf_transformation,[],[f3])). 0.03/0.29 fof(f11,plain,( 0.03/0.29 ! [X0] : (! [X1] : (sorti2(op2(X0,X1)) | ~sorti2(X1)) | ~sorti2(X0))), 0.03/0.29 inference(ennf_transformation,[],[f2])). 0.03/0.29 fof(f13,plain,( 0.03/0.29 ? [X0] : (sorti1(X0) & ! [X1] : (op1(X1,X1) = X0 | ~sorti1(X1)))), 0.03/0.29 inference(ennf_transformation,[],[f1])). 0.03/0.29 fof(f14,plain,( 0.03/0.29 ! [X0] : (j(h(X0)) = X0 | ~sorti1(X0)) & ! [X1] : (h(j(X1)) = X1 | ~sorti2(X1)) & ! [X2] : (! [X3] : (op1(j(X2),j(X3)) = j(op2(X2,X3)) | ~sorti2(X3)) | ~sorti2(X2)) & ! [X4] : (! [X5] : (op2(h(X4),h(X5)) = h(op1(X4,X5)) | ~sorti1(X5)) | ~sorti1(X4)) & ! [X6] : (sorti1(j(X6)) | ~sorti2(X6)) & ! [X7] : (sorti2(h(X7)) | ~sorti1(X7))), 0.03/0.29 inference(rectify,[],[f9])). 0.03/0.29 fof(f15,plain,( 0.03/0.29 ! [X0] : (? [X1] : (op2(X1,X1) != X0 & sorti2(X1)) => (op2(sK0(X0),sK0(X0)) != X0 & sorti2(sK0(X0))))), 0.03/0.29 introduced(choice_axiom,[])). 0.03/0.29 fof(f16,plain,( 0.03/0.29 ! [X0] : ((op2(sK0(X0),sK0(X0)) != X0 & sorti2(sK0(X0))) | ~sorti2(X0))), 0.03/0.29 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f10,f15])). 0.03/0.29 fof(f17,plain,( 0.03/0.29 ? [X0] : (sorti1(X0) & ! [X1] : (op1(X1,X1) = X0 | ~sorti1(X1))) => (sorti1(sK1) & ! [X1] : (op1(X1,X1) = sK1 | ~sorti1(X1)))), 0.03/0.29 introduced(choice_axiom,[])). 0.03/0.29 fof(f18,plain,( 0.03/0.29 sorti1(sK1) & ! [X1] : (op1(X1,X1) = sK1 | ~sorti1(X1))), 0.03/0.29 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f13,f17])). 0.03/0.29 fof(f19,plain,( 0.03/0.29 ( ! [X7] : (~sorti1(X7) | sorti2(h(X7))) )), 0.03/0.29 inference(cnf_transformation,[],[f14])). 0.03/0.29 fof(f20,plain,( 0.03/0.29 ( ! [X6] : (~sorti2(X6) | sorti1(j(X6))) )), 0.03/0.29 inference(cnf_transformation,[],[f14])). 0.03/0.29 fof(f22,plain,( 0.03/0.29 ( ! [X2,X3] : (op1(j(X2),j(X3)) = j(op2(X2,X3)) | ~sorti2(X3) | ~sorti2(X2)) )), 0.03/0.29 inference(cnf_transformation,[],[f14])). 0.03/0.29 fof(f23,plain,( 0.03/0.29 ( ! [X1] : (h(j(X1)) = X1 | ~sorti2(X1)) )), 0.03/0.29 inference(cnf_transformation,[],[f14])). 0.03/0.29 fof(f25,plain,( 0.03/0.29 ( ! [X0] : (sorti2(sK0(X0)) | ~sorti2(X0)) )), 0.03/0.29 inference(cnf_transformation,[],[f16])). 0.03/0.29 fof(f26,plain,( 0.03/0.29 ( ! [X0] : (op2(sK0(X0),sK0(X0)) != X0 | ~sorti2(X0)) )), 0.03/0.29 inference(cnf_transformation,[],[f16])). 0.03/0.29 fof(f27,plain,( 0.03/0.29 ( ! [X0,X1] : (sorti2(op2(X0,X1)) | ~sorti2(X1) | ~sorti2(X0)) )), 0.03/0.29 inference(cnf_transformation,[],[f11])). 0.03/0.29 fof(f29,plain,( 0.03/0.29 ( ! [X1] : (op1(X1,X1) = sK1 | ~sorti1(X1)) )), 0.03/0.29 inference(cnf_transformation,[],[f18])). 0.03/0.29 fof(f30,plain,( 0.03/0.29 sorti1(sK1)), 0.03/0.29 inference(cnf_transformation,[],[f18])). 0.03/0.29 fof(f32,plain,( 0.03/0.29 sorti2(h(sK1))), 0.03/0.29 inference(resolution,[],[f19,f30])). 0.03/0.29 fof(f50,plain,( 0.03/0.29 ( ! [X2] : (j(op2(X2,X2)) = sK1 | ~sorti2(X2) | ~sorti2(X2) | ~sorti1(j(X2))) )), 0.03/0.29 inference(superposition,[],[f22,f29])). 0.03/0.29 fof(f54,plain,( 0.03/0.29 ( ! [X2] : (j(op2(X2,X2)) = sK1 | ~sorti2(X2) | ~sorti1(j(X2))) )), 0.03/0.29 inference(duplicate_literal_removal,[],[f50])). 0.03/0.29 fof(f55,plain,( 0.03/0.29 ( ! [X2] : (j(op2(X2,X2)) = sK1 | ~sorti2(X2)) )), 0.03/0.29 inference(subsumption_resolution,[],[f54,f20])). 0.03/0.29 fof(f72,plain,( 0.03/0.29 ( ! [X4] : (op2(X4,X4) = h(sK1) | ~sorti2(op2(X4,X4)) | ~sorti2(X4)) )), 0.03/0.29 inference(superposition,[],[f23,f55])). 0.03/0.29 fof(f75,plain,( 0.03/0.29 ( ! [X4] : (op2(X4,X4) = h(sK1) | ~sorti2(X4)) )), 0.03/0.29 inference(subsumption_resolution,[],[f72,f27])). 0.03/0.29 fof(f141,plain,( 0.03/0.29 ( ! [X0] : (h(sK1) != X0 | ~sorti2(X0) | ~sorti2(sK0(X0))) )), 0.03/0.29 inference(superposition,[],[f26,f75])). 0.03/0.29 fof(f146,plain,( 0.03/0.29 ( ! [X0] : (h(sK1) != X0 | ~sorti2(X0)) )), 0.03/0.29 inference(subsumption_resolution,[],[f141,f25])). 0.03/0.29 fof(f147,plain,( 0.03/0.29 ~sorti2(h(sK1))), 0.03/0.29 inference(equality_resolution,[],[f146])). 0.03/0.29 fof(f148,plain,( 0.03/0.29 $false), 0.03/0.29 inference(subsumption_resolution,[],[f147,f32])). 0.03/0.29 % SZS output end Proof for theBenchmark 0.03/0.29 % ------------------------------ 0.03/0.29 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.03/0.29 % Termination reason: Refutation 0.03/0.29 0.03/0.29 % Memory used [KB]: 767 0.03/0.29 % Time elapsed: 0.005 s 0.03/0.29 % ------------------------------ 0.03/0.29 % ------------------------------ 0.03/0.29 % Success in time 0.035 s 0.10/0.31 EOF