0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : vampire -m 90000 --mode casc -t %d %s 0.03/0.28 % Computer : n003.star.cs.uiowa.edu 0.03/0.28 % Model : x86_64 x86_64 0.03/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.28 % Memory : 32218.625MB 0.03/0.28 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.28 % CPULimit : 300 0.03/0.28 % DateTime : Sat Jul 14 04:16:42 CDT 2018 0.03/0.28 % CPUTime : 0.07/0.28 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.07/0.28 % remaining time: 5999 next slice time: 4 0.07/0.31 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 0.07/0.35 % Refutation found. Thanks to Tanya! 0.07/0.35 % SZS status Theorem for theBenchmark 0.07/0.35 % SZS output start Proof for theBenchmark 0.07/0.35 fof(f3,axiom,( 0.07/0.35 ! [X0,X1] : (status(X0,X1,sap) <=> (? [X3] : model(X3,X0) => ? [X2] : model(X2,X1)))), 0.07/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sap)). 0.07/0.35 fof(f5,axiom,( 0.07/0.35 ! [X0,X1] : (! [X3] : (model(X3,X0) => model(X3,X1)) <=> status(X0,X1,thm))), 0.07/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm)). 0.07/0.35 fof(f23,axiom,( 0.07/0.35 ? [X8] : (? [X3] : model(X3,X8) & ? [X2] : ~model(X2,X8))), 0.07/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satisfiable)). 0.07/0.35 fof(f25,axiom,( 0.07/0.35 ! [X6,X7] : (nota(X6,X7) <=> ? [X0,X1] : (~status(X0,X1,X7) & status(X0,X1,X6)))), 0.07/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota)). 0.07/0.35 fof(f30,axiom,( 0.07/0.35 ? [X8] : ! [X9] : model(X9,X8)), 0.07/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology)). 0.07/0.35 fof(f33,conjecture,( 0.07/0.35 nota(sap,thm)), 0.07/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_sap_thm)). 0.07/0.35 fof(f34,negated_conjecture,( 0.07/0.35 ~nota(sap,thm)), 0.07/0.35 inference(negated_conjecture,[],[f33])). 0.07/0.35 fof(f35,plain,( 0.07/0.35 ~nota(sap,thm)), 0.07/0.35 inference(flattening,[],[f34])). 0.07/0.35 fof(f38,plain,( 0.07/0.35 ! [X0,X1] : (nota(X0,X1) <=> ? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)))), 0.07/0.35 inference(rectify,[],[f25])). 0.07/0.35 fof(f47,plain,( 0.07/0.35 ! [X0,X1] : (status(X0,X1,sap) <=> (? [X2] : model(X2,X0) => ? [X3] : model(X3,X1)))), 0.07/0.35 inference(rectify,[],[f3])). 0.07/0.35 fof(f51,plain,( 0.07/0.35 ! [X0,X1] : (! [X2] : (model(X2,X0) => model(X2,X1)) <=> status(X0,X1,thm))), 0.07/0.35 inference(rectify,[],[f5])). 0.07/0.35 fof(f57,plain,( 0.07/0.35 ? [X0] : (? [X1] : model(X1,X0) & ? [X2] : ~model(X2,X0))), 0.07/0.35 inference(rectify,[],[f23])). 0.07/0.35 fof(f59,plain,( 0.07/0.35 ? [X0] : ! [X1] : model(X1,X0)), 0.07/0.35 inference(rectify,[],[f30])). 0.07/0.35 fof(f63,plain,( 0.07/0.35 ! [X0,X1] : (? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)) => nota(X0,X1))), 0.07/0.35 inference(unused_predicate_definition_removal,[],[f38])). 0.07/0.35 fof(f64,plain,( 0.07/0.35 ! [X0,X1] : (nota(X0,X1) | ! [X2,X3] : (status(X2,X3,X1) | ~status(X2,X3,X0)))), 0.07/0.35 inference(ennf_transformation,[],[f63])). 0.07/0.35 fof(f69,plain,( 0.07/0.35 ! [X0,X1] : (status(X0,X1,sap) <=> (? [X3] : model(X3,X1) | ! [X2] : ~model(X2,X0)))), 0.07/0.35 inference(ennf_transformation,[],[f47])). 0.07/0.35 fof(f73,plain,( 0.07/0.35 ! [X0,X1] : (! [X2] : (model(X2,X1) | ~model(X2,X0)) <=> status(X0,X1,thm))), 0.07/0.35 inference(ennf_transformation,[],[f51])). 0.07/0.35 fof(f135,plain,( 0.07/0.35 ! [X0,X1] : ((status(X0,X1,sap) | (! [X3] : ~model(X3,X1) & ? [X2] : model(X2,X0))) & ((? [X3] : model(X3,X1) | ! [X2] : ~model(X2,X0)) | ~status(X0,X1,sap)))), 0.07/0.35 inference(nnf_transformation,[],[f69])). 0.07/0.35 fof(f136,plain,( 0.07/0.35 ! [X0,X1] : ((status(X0,X1,sap) | (! [X3] : ~model(X3,X1) & ? [X2] : model(X2,X0))) & (? [X3] : model(X3,X1) | ! [X2] : ~model(X2,X0) | ~status(X0,X1,sap)))), 0.07/0.35 inference(flattening,[],[f135])). 0.07/0.35 fof(f137,plain,( 0.07/0.35 ! [X0,X1] : ((status(X0,X1,sap) | (! [X2] : ~model(X2,X1) & ? [X3] : model(X3,X0))) & (? [X4] : model(X4,X1) | ! [X5] : ~model(X5,X0) | ~status(X0,X1,sap)))), 0.07/0.35 inference(rectify,[],[f136])). 0.07/0.35 fof(f138,plain,( 0.07/0.35 ! [X0] : (? [X3] : model(X3,X0) => model(sK23(X0),X0))), 0.07/0.35 introduced(choice_axiom,[])). 0.07/0.35 fof(f139,plain,( 0.07/0.35 ! [X1] : (? [X4] : model(X4,X1) => model(sK24(X1),X1))), 0.07/0.35 introduced(choice_axiom,[])). 0.07/0.35 fof(f140,plain,( 0.07/0.35 ! [X0,X1] : ((status(X0,X1,sap) | (! [X2] : ~model(X2,X1) & model(sK23(X0),X0))) & (model(sK24(X1),X1) | ! [X5] : ~model(X5,X0) | ~status(X0,X1,sap)))), 0.07/0.35 inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f137,f139,f138])). 0.07/0.35 fof(f175,plain,( 0.07/0.35 ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))))), 0.07/0.35 inference(nnf_transformation,[],[f73])). 0.07/0.35 fof(f176,plain,( 0.07/0.35 ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X3] : (~model(X3,X1) & model(X3,X0))))), 0.07/0.35 inference(rectify,[],[f175])). 0.07/0.35 fof(f177,plain,( 0.07/0.35 ! [X1,X0] : (? [X3] : (~model(X3,X1) & model(X3,X0)) => (~model(sK38(X0,X1),X1) & model(sK38(X0,X1),X0)))), 0.07/0.35 introduced(choice_axiom,[])). 0.07/0.35 fof(f178,plain,( 0.07/0.35 ! [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))))), 0.07/0.35 inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f176,f177])). 0.07/0.35 fof(f188,plain,( 0.07/0.35 ? [X0] : (? [X1] : model(X1,X0) & ? [X2] : ~model(X2,X0)) => (? [X1] : model(X1,sK41) & ? [X2] : ~model(X2,sK41))), 0.07/0.35 introduced(choice_axiom,[])). 0.07/0.35 fof(f189,plain,( 0.07/0.35 ( ! [X0] : (? [X1] : model(X1,X0) => model(sK42,X0)) )), 0.07/0.35 introduced(choice_axiom,[])). 0.07/0.35 fof(f190,plain,( 0.07/0.35 ( ! [X0] : (? [X2] : ~model(X2,X0) => ~model(sK43,X0)) )), 0.07/0.35 introduced(choice_axiom,[])). 0.07/0.35 fof(f191,plain,( 0.07/0.35 model(sK42,sK41) & ~model(sK43,sK41)), 0.07/0.35 inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43])],[f57,f190,f189,f188])). 0.07/0.35 fof(f194,plain,( 0.07/0.35 ? [X0] : ! [X1] : model(X1,X0) => ! [X1] : model(X1,sK45)), 0.07/0.35 introduced(choice_axiom,[])). 0.07/0.35 fof(f195,plain,( 0.07/0.35 ! [X1] : model(X1,sK45)), 0.07/0.35 inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f59,f194])). 0.07/0.35 fof(f208,plain,( 0.07/0.35 ~nota(sap,thm)), 0.07/0.35 inference(cnf_transformation,[],[f35])). 0.07/0.35 fof(f209,plain,( 0.07/0.35 ( ! [X2,X0,X3,X1] : (~status(X2,X3,X0) | status(X2,X3,X1) | nota(X0,X1)) )), 0.07/0.35 inference(cnf_transformation,[],[f64])). 0.07/0.35 fof(f254,plain,( 0.07/0.35 ( ! [X2,X0,X1] : (status(X0,X1,sap) | ~model(X2,X1)) )), 0.07/0.35 inference(cnf_transformation,[],[f140])). 0.07/0.35 fof(f278,plain,( 0.07/0.35 ( ! [X2,X0,X1] : (~status(X0,X1,thm) | ~model(X2,X0) | model(X2,X1)) )), 0.07/0.35 inference(cnf_transformation,[],[f178])). 0.07/0.35 fof(f287,plain,( 0.07/0.35 ~model(sK43,sK41)), 0.07/0.35 inference(cnf_transformation,[],[f191])). 0.07/0.35 fof(f288,plain,( 0.07/0.35 model(sK42,sK41)), 0.07/0.35 inference(cnf_transformation,[],[f191])). 0.07/0.35 fof(f290,plain,( 0.07/0.35 ( ! [X1] : (model(X1,sK45)) )), 0.07/0.35 inference(cnf_transformation,[],[f195])). 0.07/0.35 fof(f406,plain,( 0.07/0.35 ( ! [X0] : (status(X0,sK41,sap)) )), 0.07/0.35 inference(unit_resulting_resolution,[],[f288,f254])). 0.07/0.35 fof(f1384,plain,( 0.07/0.35 ~status(sK45,sK41,thm)), 0.07/0.35 inference(unit_resulting_resolution,[],[f287,f290,f278])). 0.07/0.35 fof(f4685,plain,( 0.07/0.35 $false), 0.07/0.35 inference(unit_resulting_resolution,[],[f208,f406,f1384,f209])). 0.07/0.35 % SZS output end Proof for theBenchmark 0.07/0.35 % ------------------------------ 0.07/0.35 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.07/0.35 % Termination reason: Refutation 0.07/0.35 0.07/0.35 % Memory used [KB]: 6396 0.07/0.35 % Time elapsed: 0.037 s 0.07/0.35 % ------------------------------ 0.07/0.35 % ------------------------------ 0.07/0.35 % Success in time 0.067 s 0.14/0.44 EOF