0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.03/0.23 % Computer : n163.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 05:36:25 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.23 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.23 % remaining time: 5999 next slice time: 4 0.03/0.26 lrs+1010_5:4_afp=100000:afq=1.2:anc=none:cond=on:fsr=off:ile=on:irw=on:nm=64:nwc=1:stl=30:sac=on:sp=occurrence:urr=on_2 on theBenchmark 0.06/0.30 % Refutation found. Thanks to Tanya! 0.06/0.30 % SZS status Theorem for theBenchmark 0.06/0.30 % SZS output start Proof for theBenchmark 0.06/0.30 fof(f4,axiom,( 0.06/0.30 ! [X0,X1] : ((? [X2] : model(X2,X1) <=> ? [X3] : model(X3,X0)) <=> status(X0,X1,esa))), 0.06/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',esa)). 0.06/0.30 fof(f5,axiom,( 0.06/0.30 ! [X0,X1] : (! [X3] : (model(X3,X0) => model(X3,X1)) <=> status(X0,X1,thm))), 0.06/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)). 0.06/0.30 fof(f23,axiom,( 0.06/0.30 ? [X8] : (? [X3] : model(X3,X8) & ? [X2] : ~model(X2,X8))), 0.06/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satisfiable)). 0.06/0.30 fof(f25,axiom,( 0.06/0.30 ! [X6,X7] : (nota(X6,X7) <=> ? [X0,X1] : (~status(X0,X1,X7) & status(X0,X1,X6)))), 0.06/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota)). 0.06/0.30 fof(f30,axiom,( 0.06/0.30 ? [X8] : ! [X9] : model(X9,X8)), 0.06/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tautology)). 0.06/0.30 fof(f33,conjecture,( 0.06/0.30 nota(esa,thm)), 0.06/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_esa_thm)). 0.06/0.30 fof(f34,negated_conjecture,( 0.06/0.30 ~nota(esa,thm)), 0.06/0.30 inference(negated_conjecture,[],[f33])). 0.06/0.30 fof(f35,plain,( 0.06/0.30 ~nota(esa,thm)), 0.06/0.30 inference(flattening,[],[f34])). 0.06/0.30 fof(f38,plain,( 0.06/0.30 ! [X0,X1] : (nota(X0,X1) <=> ? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)))), 0.06/0.30 inference(rectify,[],[f25])). 0.06/0.30 fof(f51,plain,( 0.06/0.30 ! [X0,X1] : (! [X2] : (model(X2,X0) => model(X2,X1)) <=> status(X0,X1,thm))), 0.06/0.30 inference(rectify,[],[f5])). 0.06/0.30 fof(f57,plain,( 0.06/0.30 ? [X0] : (? [X1] : model(X1,X0) & ? [X2] : ~model(X2,X0))), 0.06/0.30 inference(rectify,[],[f23])). 0.06/0.30 fof(f59,plain,( 0.06/0.30 ? [X0] : ! [X1] : model(X1,X0)), 0.06/0.30 inference(rectify,[],[f30])). 0.06/0.30 fof(f63,plain,( 0.06/0.30 ! [X0,X1] : (? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)) => nota(X0,X1))), 0.06/0.30 inference(unused_predicate_definition_removal,[],[f38])). 0.06/0.30 fof(f64,plain,( 0.06/0.30 ! [X0,X1] : (nota(X0,X1) | ! [X2,X3] : (status(X2,X3,X1) | ~status(X2,X3,X0)))), 0.06/0.30 inference(ennf_transformation,[],[f63])). 0.06/0.30 fof(f73,plain,( 0.06/0.30 ! [X0,X1] : (! [X2] : (model(X2,X1) | ~model(X2,X0)) <=> status(X0,X1,thm))), 0.06/0.30 inference(ennf_transformation,[],[f51])). 0.06/0.30 fof(f164,plain,( 0.06/0.30 ! [X0,X1] : ((((? [X2] : model(X2,X1) | ! [X3] : ~model(X3,X0)) & (? [X3] : model(X3,X0) | ! [X2] : ~model(X2,X1))) | ~status(X0,X1,esa)) & (status(X0,X1,esa) | ((! [X3] : ~model(X3,X0) | ! [X2] : ~model(X2,X1)) & (? [X3] : model(X3,X0) | ? [X2] : model(X2,X1)))))), 0.06/0.30 inference(nnf_transformation,[],[f4])). 0.06/0.30 fof(f165,plain,( 0.06/0.30 ! [X0,X1] : ((((? [X2] : model(X2,X1) | ! [X3] : ~model(X3,X0)) & (? [X4] : model(X4,X0) | ! [X5] : ~model(X5,X1))) | ~status(X0,X1,esa)) & (status(X0,X1,esa) | ((! [X6] : ~model(X6,X0) | ! [X7] : ~model(X7,X1)) & (? [X8] : model(X8,X0) | ? [X9] : model(X9,X1)))))), 0.06/0.30 inference(rectify,[],[f164])). 0.06/0.30 fof(f166,plain,( 0.06/0.30 ! [X1] : (? [X2] : model(X2,X1) => model(sK33(X1),X1))), 0.06/0.30 introduced(choice_axiom,[])). 0.06/0.30 fof(f167,plain,( 0.06/0.30 ! [X0] : (? [X4] : model(X4,X0) => model(sK34(X0),X0))), 0.06/0.30 introduced(choice_axiom,[])). 0.06/0.30 fof(f168,plain,( 0.06/0.30 ! [X0] : (? [X8] : model(X8,X0) => model(sK35(X0),X0))), 0.06/0.30 introduced(choice_axiom,[])). 0.06/0.30 fof(f169,plain,( 0.06/0.30 ! [X1] : (? [X9] : model(X9,X1) => model(sK36(X1),X1))), 0.06/0.30 introduced(choice_axiom,[])). 0.06/0.30 fof(f170,plain,( 0.06/0.30 ! [X0,X1] : ((((model(sK33(X1),X1) | ! [X3] : ~model(X3,X0)) & (model(sK34(X0),X0) | ! [X5] : ~model(X5,X1))) | ~status(X0,X1,esa)) & (status(X0,X1,esa) | ((! [X6] : ~model(X6,X0) | ! [X7] : ~model(X7,X1)) & (model(sK35(X0),X0) | model(sK36(X1),X1)))))), 0.06/0.30 inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34,sK35,sK36])],[f165,f169,f168,f167,f166])). 0.06/0.30 fof(f175,plain,( 0.06/0.30 ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))))), 0.06/0.30 inference(nnf_transformation,[],[f73])). 0.06/0.30 fof(f176,plain,( 0.06/0.30 ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X3] : (~model(X3,X1) & model(X3,X0))))), 0.06/0.30 inference(rectify,[],[f175])). 0.06/0.30 fof(f177,plain,( 0.06/0.30 ! [X1,X0] : (? [X3] : (~model(X3,X1) & model(X3,X0)) => (~model(sK38(X0,X1),X1) & model(sK38(X0,X1),X0)))), 0.06/0.30 introduced(choice_axiom,[])). 0.06/0.30 fof(f178,plain,( 0.06/0.30 ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | (~model(sK38(X0,X1),X1) & model(sK38(X0,X1),X0))))), 0.06/0.30 inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f176,f177])). 0.06/0.30 fof(f188,plain,( 0.06/0.30 ? [X0] : (? [X1] : model(X1,X0) & ? [X2] : ~model(X2,X0)) => (? [X1] : model(X1,sK41) & ? [X2] : ~model(X2,sK41))), 0.06/0.30 introduced(choice_axiom,[])). 0.06/0.30 fof(f189,plain,( 0.06/0.30 ( ! [X0] : (? [X1] : model(X1,X0) => model(sK42,X0)) )), 0.06/0.30 introduced(choice_axiom,[])). 0.06/0.30 fof(f190,plain,( 0.06/0.30 ( ! [X0] : (? [X2] : ~model(X2,X0) => ~model(sK43,X0)) )), 0.06/0.30 introduced(choice_axiom,[])). 0.06/0.30 fof(f191,plain,( 0.06/0.30 model(sK42,sK41) & ~model(sK43,sK41)), 0.06/0.30 inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43])],[f57,f190,f189,f188])). 0.06/0.30 fof(f194,plain,( 0.06/0.30 ? [X0] : ! [X1] : model(X1,X0) => ! [X1] : model(X1,sK45)), 0.06/0.30 introduced(choice_axiom,[])). 0.06/0.30 fof(f195,plain,( 0.06/0.30 ! [X1] : model(X1,sK45)), 0.06/0.30 inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f59,f194])). 0.06/0.30 fof(f208,plain,( 0.06/0.30 ~nota(esa,thm)), 0.06/0.30 inference(cnf_transformation,[],[f35])). 0.06/0.30 fof(f209,plain,( 0.06/0.30 ( ! [X2,X0,X3,X1] : (~status(X2,X3,X0) | status(X2,X3,X1) | nota(X0,X1)) )), 0.06/0.30 inference(cnf_transformation,[],[f64])). 0.06/0.30 fof(f270,plain,( 0.06/0.30 ( ! [X6,X0,X7,X1] : (status(X0,X1,esa) | ~model(X6,X0) | ~model(X7,X1)) )), 0.06/0.30 inference(cnf_transformation,[],[f170])). 0.06/0.30 fof(f278,plain,( 0.06/0.30 ( ! [X2,X0,X1] : (~status(X0,X1,thm) | ~model(X2,X0) | model(X2,X1)) )), 0.06/0.30 inference(cnf_transformation,[],[f178])). 0.06/0.30 fof(f287,plain,( 0.06/0.30 ~model(sK43,sK41)), 0.06/0.30 inference(cnf_transformation,[],[f191])). 0.06/0.30 fof(f288,plain,( 0.06/0.30 model(sK42,sK41)), 0.06/0.30 inference(cnf_transformation,[],[f191])). 0.06/0.30 fof(f290,plain,( 0.06/0.30 ( ! [X1] : (model(X1,sK45)) )), 0.06/0.30 inference(cnf_transformation,[],[f195])). 0.06/0.30 fof(f1158,plain,( 0.06/0.30 status(sK45,sK41,esa)), 0.06/0.30 inference(unit_resulting_resolution,[],[f288,f290,f270])). 0.06/0.30 fof(f1384,plain,( 0.06/0.30 ~status(sK45,sK41,thm)), 0.06/0.30 inference(unit_resulting_resolution,[],[f287,f290,f278])). 0.06/0.30 fof(f4739,plain,( 0.06/0.30 $false), 0.06/0.30 inference(unit_resulting_resolution,[],[f208,f1158,f1384,f209])). 0.06/0.30 % SZS output end Proof for theBenchmark 0.06/0.30 % ------------------------------ 0.06/0.30 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.06/0.30 % Termination reason: Refutation 0.06/0.30 0.06/0.30 % Memory used [KB]: 6396 0.06/0.30 % Time elapsed: 0.037 s 0.06/0.30 % ------------------------------ 0.06/0.30 % ------------------------------ 0.06/0.30 % Success in time 0.067 s 0.06/0.30 EOF