0.02/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.06 % Command : vampire --mode casc -t %d %s 0.03/0.37 % Computer : n150.star.cs.uiowa.edu 0.03/0.37 % Model : x86_64 x86_64 0.03/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.37 % Memory : 32218.625MB 0.03/0.37 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.37 % CPULimit : 300 0.03/0.37 % DateTime : Fri Jul 13 15:56:56 CDT 2018 0.03/0.37 % CPUTime : 0.03/0.41 % lrs-11_4:1_afp=4000:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark 0.03/0.43 % Refutation found. Thanks to Tanya! 0.03/0.43 % SZS status Theorem for theBenchmark 0.03/0.43 % SZS output start Proof for theBenchmark 0.03/0.43 fof(f1,axiom,( 0.03/0.43 ! [X0,X1] : (status(X0,X1,unp) <=> (~? [X3] : model(X3,X0) => ~? [X2] : model(X2,X1)))), 0.03/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unp)). 0.03/0.43 fof(f5,axiom,( 0.03/0.43 ! [X0,X1] : (! [X3] : (model(X3,X0) => model(X3,X1)) <=> status(X0,X1,thm))), 0.03/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)). 0.03/0.43 fof(f25,axiom,( 0.03/0.43 ! [X6,X7] : (nota(X6,X7) <=> ? [X0,X1] : (~status(X0,X1,X7) & status(X0,X1,X6)))), 0.03/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota)). 0.03/0.43 fof(f29,axiom,( 0.03/0.43 ? [X8] : ! [X9] : ~model(X9,X8)), 0.03/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contradiction)). 0.03/0.43 fof(f30,axiom,( 0.03/0.43 ? [X8] : ! [X9] : model(X9,X8)), 0.03/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tautology)). 0.03/0.43 fof(f33,conjecture,( 0.03/0.43 nota(unp,thm)), 0.03/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_unp_thm)). 0.03/0.43 fof(f34,negated_conjecture,( 0.03/0.43 ~nota(unp,thm)), 0.03/0.43 inference(negated_conjecture,[],[f33])). 0.03/0.43 fof(f35,plain,( 0.03/0.43 ~nota(unp,thm)), 0.03/0.43 inference(flattening,[],[f34])). 0.03/0.43 fof(f38,plain,( 0.03/0.43 ! [X0,X1] : (nota(X0,X1) <=> ? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)))), 0.03/0.43 inference(rectify,[],[f25])). 0.03/0.43 fof(f46,plain,( 0.03/0.43 ! [X0,X1] : (status(X0,X1,unp) <=> (~? [X2] : model(X2,X0) => ~? [X3] : model(X3,X1)))), 0.03/0.43 inference(rectify,[],[f1])). 0.03/0.43 fof(f51,plain,( 0.03/0.43 ! [X0,X1] : (! [X2] : (model(X2,X0) => model(X2,X1)) <=> status(X0,X1,thm))), 0.03/0.43 inference(rectify,[],[f5])). 0.03/0.43 fof(f58,plain,( 0.03/0.43 ? [X0] : ! [X1] : ~model(X1,X0)), 0.03/0.43 inference(rectify,[],[f29])). 0.03/0.43 fof(f59,plain,( 0.03/0.43 ? [X0] : ! [X1] : model(X1,X0)), 0.03/0.43 inference(rectify,[],[f30])). 0.03/0.43 fof(f63,plain,( 0.03/0.43 ! [X0,X1] : (? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)) => nota(X0,X1))), 0.03/0.43 inference(unused_predicate_definition_removal,[],[f38])). 0.03/0.43 fof(f64,plain,( 0.03/0.43 ! [X0,X1] : (nota(X0,X1) | ! [X2,X3] : (status(X2,X3,X1) | ~status(X2,X3,X0)))), 0.03/0.43 inference(ennf_transformation,[],[f63])). 0.03/0.43 fof(f68,plain,( 0.03/0.43 ! [X0,X1] : (status(X0,X1,unp) <=> (! [X3] : ~model(X3,X1) | ? [X2] : model(X2,X0)))), 0.03/0.43 inference(ennf_transformation,[],[f46])). 0.03/0.43 fof(f73,plain,( 0.03/0.43 ! [X0,X1] : (! [X2] : (model(X2,X1) | ~model(X2,X0)) <=> status(X0,X1,thm))), 0.03/0.43 inference(ennf_transformation,[],[f51])). 0.03/0.43 fof(f129,plain,( 0.03/0.43 ! [X0,X1] : ((status(X0,X1,unp) | (? [X3] : model(X3,X1) & ! [X2] : ~model(X2,X0))) & ((! [X3] : ~model(X3,X1) | ? [X2] : model(X2,X0)) | ~status(X0,X1,unp)))), 0.03/0.43 inference(nnf_transformation,[],[f68])). 0.03/0.43 fof(f130,plain,( 0.03/0.43 ! [X0,X1] : ((status(X0,X1,unp) | (? [X3] : model(X3,X1) & ! [X2] : ~model(X2,X0))) & (! [X3] : ~model(X3,X1) | ? [X2] : model(X2,X0) | ~status(X0,X1,unp)))), 0.03/0.43 inference(flattening,[],[f129])). 0.03/0.43 fof(f131,plain,( 0.03/0.43 ! [X0,X1] : ((status(X0,X1,unp) | (? [X2] : model(X2,X1) & ! [X3] : ~model(X3,X0))) & (! [X4] : ~model(X4,X1) | ? [X5] : model(X5,X0) | ~status(X0,X1,unp)))), 0.03/0.43 inference(rectify,[],[f130])). 0.03/0.43 fof(f132,plain,( 0.03/0.43 ! [X1] : (? [X2] : model(X2,X1) => model(sK21(X1),X1))), 0.03/0.43 introduced(choice_axiom,[])). 0.03/0.43 fof(f133,plain,( 0.03/0.43 ! [X0] : (? [X5] : model(X5,X0) => model(sK22(X0),X0))), 0.03/0.43 introduced(choice_axiom,[])). 0.03/0.43 fof(f134,plain,( 0.03/0.43 ! [X0,X1] : ((status(X0,X1,unp) | (model(sK21(X1),X1) & ! [X3] : ~model(X3,X0))) & (! [X4] : ~model(X4,X1) | model(sK22(X0),X0) | ~status(X0,X1,unp)))), 0.03/0.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f131,f133,f132])). 0.03/0.43 fof(f175,plain,( 0.03/0.43 ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))))), 0.03/0.43 inference(nnf_transformation,[],[f73])). 0.03/0.43 fof(f176,plain,( 0.03/0.43 ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X3] : (~model(X3,X1) & model(X3,X0))))), 0.03/0.43 inference(rectify,[],[f175])). 0.03/0.43 fof(f177,plain,( 0.03/0.43 ! [X1,X0] : (? [X3] : (~model(X3,X1) & model(X3,X0)) => (~model(sK38(X0,X1),X1) & model(sK38(X0,X1),X0)))), 0.03/0.43 introduced(choice_axiom,[])). 0.03/0.43 fof(f178,plain,( 0.03/0.43 ! [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))))), 0.03/0.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f176,f177])). 0.03/0.43 fof(f192,plain,( 0.03/0.43 ? [X0] : ! [X1] : ~model(X1,X0) => ! [X1] : ~model(X1,sK44)), 0.03/0.43 introduced(choice_axiom,[])). 0.03/0.43 fof(f193,plain,( 0.03/0.43 ! [X1] : ~model(X1,sK44)), 0.03/0.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f58,f192])). 0.03/0.43 fof(f194,plain,( 0.03/0.43 ? [X0] : ! [X1] : model(X1,X0) => ! [X1] : model(X1,sK45)), 0.03/0.43 introduced(choice_axiom,[])). 0.03/0.43 fof(f195,plain,( 0.03/0.43 ! [X1] : model(X1,sK45)), 0.03/0.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f59,f194])). 0.03/0.43 fof(f208,plain,( 0.03/0.43 ~nota(unp,thm)), 0.03/0.43 inference(cnf_transformation,[],[f35])). 0.03/0.43 fof(f209,plain,( 0.03/0.43 ( ! [X2,X0,X3,X1] : (nota(X0,X1) | status(X2,X3,X1) | ~status(X2,X3,X0)) )), 0.03/0.43 inference(cnf_transformation,[],[f64])). 0.03/0.43 fof(f250,plain,( 0.03/0.43 ( ! [X0,X3,X1] : (status(X0,X1,unp) | ~model(X3,X0)) )), 0.03/0.43 inference(cnf_transformation,[],[f134])). 0.03/0.43 fof(f278,plain,( 0.03/0.43 ( ! [X2,X0,X1] : (model(X2,X1) | ~model(X2,X0) | ~status(X0,X1,thm)) )), 0.03/0.43 inference(cnf_transformation,[],[f178])). 0.03/0.43 fof(f289,plain,( 0.03/0.43 ( ! [X1] : (~model(X1,sK44)) )), 0.03/0.43 inference(cnf_transformation,[],[f193])). 0.03/0.43 fof(f290,plain,( 0.03/0.43 ( ! [X1] : (model(X1,sK45)) )), 0.03/0.43 inference(cnf_transformation,[],[f195])). 0.03/0.43 fof(f370,plain,( 0.03/0.43 ( ! [X0] : (status(sK45,X0,unp)) )), 0.03/0.43 inference(unit_resulting_resolution,[],[f290,f250])). 0.03/0.43 fof(f1839,plain,( 0.03/0.43 ( ! [X0] : (status(sK45,X0,thm)) )), 0.03/0.43 inference(unit_resulting_resolution,[],[f208,f370,f209])). 0.03/0.43 fof(f1875,plain,( 0.03/0.43 $false), 0.03/0.43 inference(unit_resulting_resolution,[],[f289,f290,f1839,f278])). 0.03/0.43 % SZS output end Proof for theBenchmark 0.03/0.43 % ------------------------------ 0.03/0.43 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.03/0.43 % Termination reason: Refutation 0.03/0.43 0.03/0.43 % Memory used [KB]: 10874 0.03/0.43 % Time elapsed: 0.020 s 0.03/0.43 % ------------------------------ 0.03/0.43 % ------------------------------ 0.03/0.43 % Success in time 0.054 s 0.13/0.53 EOF