0.09/2.44 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/2.45 % Command : vampire --mode casc -t %d %s 0.10/2.72 % Computer : n016.cluster.edu 0.10/2.72 % Model : x86_64 x86_64 0.10/2.72 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/2.72 % Memory : 8042.1875MB 0.10/2.72 % OS : Linux 3.10.0-693.el7.x86_64 0.10/2.72 % CPULimit : 960 0.10/2.72 % DateTime : Thu Jul 2 07:07:08 EDT 2020 0.10/2.72 % CPUTime : 0.19/2.79 % 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 0.19/2.81 % Refutation found. Thanks to Tanya! 0.19/2.81 % SZS status Theorem for theBenchmark 0.19/2.81 % SZS output start Proof for theBenchmark 0.19/2.81 fof(f1236,plain,( 0.19/2.81 $false), 0.19/2.81 inference(resolution,[],[f1201,f293])). 0.19/2.81 fof(f293,plain,( 0.19/2.81 ~model(sK42,sK41)), 0.19/2.81 inference(cnf_transformation,[],[f196])). 0.19/2.81 fof(f196,plain,( 0.19/2.81 ~model(sK42,sK41) & model(sK43,sK41)), 0.19/2.81 inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43])],[f62,f195,f194,f193])). 0.19/2.81 fof(f193,plain,( 0.19/2.81 ? [X0] : (? [X1] : ~model(X1,X0) & ? [X2] : model(X2,X0)) => (? [X1] : ~model(X1,sK41) & ? [X2] : model(X2,sK41))), 0.19/2.81 introduced(choice_axiom,[])). 0.19/2.81 fof(f194,plain,( 0.19/2.81 ( ! [X0] : (? [X1] : ~model(X1,X0) => ~model(sK42,X0)) )), 0.19/2.81 introduced(choice_axiom,[])). 0.19/2.81 fof(f195,plain,( 0.19/2.81 ( ! [X0] : (? [X2] : model(X2,X0) => model(sK43,X0)) )), 0.19/2.81 introduced(choice_axiom,[])). 0.19/2.81 fof(f62,plain,( 0.19/2.81 ? [X0] : (? [X1] : ~model(X1,X0) & ? [X2] : model(X2,X0))), 0.19/2.81 inference(rectify,[],[f24])). 0.19/2.81 fof(f24,axiom,( 0.19/2.81 ? [X6] : (? [X4] : ~model(X4,X6) & ? [X3] : model(X3,X6))), 0.19/2.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satisfiable)). 0.19/2.81 fof(f1201,plain,( 0.19/2.81 ( ! [X2] : (model(X2,sK41)) )), 0.19/2.81 inference(subsumption_resolution,[],[f1200,f295])). 0.19/2.81 fof(f295,plain,( 0.19/2.81 ( ! [X1] : (model(X1,sK45)) )), 0.19/2.81 inference(cnf_transformation,[],[f200])). 0.19/2.81 fof(f200,plain,( 0.19/2.81 ! [X1] : model(X1,sK45)), 0.19/2.81 inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f64,f199])). 0.19/2.81 fof(f199,plain,( 0.19/2.81 ? [X0] : ! [X1] : model(X1,X0) => ! [X1] : model(X1,sK45)), 0.19/2.81 introduced(choice_axiom,[])). 0.19/2.81 fof(f64,plain,( 0.19/2.81 ? [X0] : ! [X1] : model(X1,X0)), 0.19/2.81 inference(rectify,[],[f27])). 0.19/2.81 fof(f27,axiom,( 0.19/2.81 ? [X6] : ! [X7] : model(X7,X6)), 0.19/2.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tautology)). 0.19/2.81 fof(f1200,plain,( 0.19/2.81 ( ! [X2,X3] : (~model(X3,sK45) | model(X2,sK41)) )), 0.19/2.81 inference(subsumption_resolution,[],[f1188,f295])). 0.19/2.81 fof(f1188,plain,( 0.19/2.81 ( ! [X2,X3] : (~model(X2,sK45) | ~model(X3,sK45) | model(X2,sK41)) )), 0.19/2.81 inference(resolution,[],[f1180,f295])). 0.19/2.81 fof(f1180,plain,( 0.19/2.81 ( ! [X169,X170,X168] : (~model(sK43,X168) | ~model(X169,X168) | ~model(X170,X168) | model(X169,sK41)) )), 0.19/2.81 inference(subsumption_resolution,[],[f1148,f1080])). 0.19/2.81 fof(f1080,plain,( 0.19/2.81 ( ! [X4,X2,X0,X3,X1] : (~model(X0,X1) | ~model(X0,X2) | ~model(X3,X2) | ~model(X4,X2) | model(X4,X1) | model(X3,X1)) )), 0.19/2.81 inference(resolution,[],[f1079,f214])). 0.19/2.81 fof(f214,plain,( 0.19/2.81 ( ! [X0,X1] : (model(X0,not(X1)) | model(X0,X1)) )), 0.19/2.81 inference(cnf_transformation,[],[f80])). 0.19/2.81 fof(f80,plain,( 0.19/2.81 ! [X0,X1] : ((~model(X0,not(X1)) | ~model(X0,X1)) & (model(X0,X1) | model(X0,not(X1))))), 0.19/2.81 inference(nnf_transformation,[],[f37])). 0.19/2.81 fof(f37,plain,( 0.19/2.81 ! [X0,X1] : (~model(X0,not(X1)) <=> model(X0,X1))), 0.19/2.81 inference(rectify,[],[f31])). 0.19/2.81 fof(f31,axiom,( 0.19/2.81 ! [X7,X6] : (~model(X7,not(X6)) <=> model(X7,X6))), 0.19/2.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not)). 0.19/2.81 fof(f1079,plain,( 0.19/2.81 ( ! [X4,X2,X0,X3,X1] : (~model(X0,not(X3)) | ~model(X2,X3) | ~model(X2,X1) | ~model(X0,X1) | ~model(X4,X1) | model(X4,X3)) )), 0.19/2.81 inference(resolution,[],[f1074,f245])). 0.19/2.81 fof(f245,plain,( 0.19/2.81 ( ! [X0,X3,X1] : (~status(X0,X1,thm) | ~model(X3,X0) | model(X3,X1)) )), 0.19/2.81 inference(cnf_transformation,[],[f129])). 0.19/2.81 fof(f129,plain,( 0.19/2.81 ! [X0,X1] : ((status(X0,X1,thm) | (~model(sK19(X0,X1),X1) & model(sK19(X0,X1),X0))) & (! [X3] : (model(X3,X1) | ~model(X3,X0)) | ~status(X0,X1,thm)))), 0.19/2.81 inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f127,f128])). 0.19/2.81 fof(f128,plain,( 0.19/2.81 ! [X1,X0] : (? [X2] : (~model(X2,X1) & model(X2,X0)) => (~model(sK19(X0,X1),X1) & model(sK19(X0,X1),X0)))), 0.19/2.81 introduced(choice_axiom,[])). 0.19/2.81 fof(f127,plain,( 0.19/2.81 ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X3] : (model(X3,X1) | ~model(X3,X0)) | ~status(X0,X1,thm)))), 0.19/2.81 inference(rectify,[],[f126])). 0.19/2.81 fof(f126,plain,( 0.19/2.81 ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)))), 0.19/2.81 inference(nnf_transformation,[],[f73])). 0.19/2.81 fof(f73,plain,( 0.19/2.81 ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X1) | ~model(X2,X0)))), 0.19/2.81 inference(ennf_transformation,[],[f45])). 0.19/2.81 fof(f45,plain,( 0.19/2.81 ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X0) => model(X2,X1)))), 0.19/2.81 inference(rectify,[],[f6])). 0.19/2.81 fof(f6,axiom,( 0.19/2.81 ! [X0,X1] : (status(X0,X1,thm) <=> ! [X3] : (model(X3,X0) => model(X3,X1)))), 0.19/2.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)). 0.19/2.81 fof(f1074,plain,( 0.19/2.81 ( ! [X2,X0,X3,X1] : (status(X2,X1,thm) | ~model(X0,X2) | ~model(X3,X1) | ~model(X3,X2) | ~model(X0,not(X1))) )), 0.19/2.81 inference(resolution,[],[f269,f571])). 0.19/2.81 fof(f571,plain,( 0.19/2.81 ( ! [X0,X1] : (~status(X0,X1,noc) | status(X0,X1,thm)) )), 0.19/2.81 inference(resolution,[],[f289,f213])). 0.19/2.81 fof(f213,plain,( 0.19/2.81 ~nota(noc,thm)), 0.19/2.81 inference(cnf_transformation,[],[f35])). 0.19/2.81 fof(f35,plain,( 0.19/2.81 ~nota(noc,thm)), 0.19/2.81 inference(flattening,[],[f34])). 0.19/2.81 fof(f34,negated_conjecture,( 0.19/2.81 ~nota(noc,thm)), 0.19/2.81 inference(negated_conjecture,[],[f33])). 0.19/2.81 fof(f33,conjecture,( 0.19/2.81 nota(noc,thm)), 0.19/2.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_noc_thm)). 0.19/2.81 fof(f289,plain,( 0.19/2.81 ( ! [X2,X0,X3,X1] : (nota(X0,X1) | status(X2,X3,X1) | ~status(X2,X3,X0)) )), 0.19/2.81 inference(cnf_transformation,[],[f78])). 0.19/2.81 fof(f78,plain,( 0.19/2.81 ! [X0,X1] : (nota(X0,X1) | ! [X2,X3] : (status(X2,X3,X1) | ~status(X2,X3,X0)))), 0.19/2.81 inference(ennf_transformation,[],[f68])). 0.19/2.81 fof(f68,plain,( 0.19/2.81 ! [X0,X1] : (? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)) => nota(X0,X1))), 0.19/2.81 inference(unused_predicate_definition_removal,[],[f59])). 0.19/2.81 fof(f59,plain,( 0.19/2.81 ! [X0,X1] : (? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)) <=> nota(X0,X1))), 0.19/2.81 inference(rectify,[],[f28])). 0.19/2.81 fof(f28,axiom,( 0.19/2.81 ! [X8,X9] : (? [X0,X1] : (~status(X0,X1,X9) & status(X0,X1,X8)) <=> nota(X8,X9))), 0.19/2.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota)). 0.19/2.81 fof(f269,plain,( 0.19/2.81 ( ! [X4,X0,X5,X1] : (status(X0,X1,noc) | ~model(X4,not(X1)) | ~model(X4,X0) | ~model(X5,X1) | ~model(X5,X0)) )), 0.19/2.81 inference(cnf_transformation,[],[f167])). 0.19/2.81 fof(f167,plain,( 0.19/2.81 ! [X0,X1] : ((((model(sK32(X0,X1),not(X1)) & model(sK32(X0,X1),X0)) & (model(sK33(X0,X1),X1) & model(sK33(X0,X1),X0))) | ~status(X0,X1,noc)) & (status(X0,X1,noc) | ! [X4] : (~model(X4,not(X1)) | ~model(X4,X0)) | ! [X5] : (~model(X5,X1) | ~model(X5,X0))))), 0.19/2.81 inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33])],[f164,f166,f165])). 0.19/2.81 fof(f165,plain,( 0.19/2.81 ! [X1,X0] : (? [X2] : (model(X2,not(X1)) & model(X2,X0)) => (model(sK32(X0,X1),not(X1)) & model(sK32(X0,X1),X0)))), 0.19/2.81 introduced(choice_axiom,[])). 0.19/2.81 fof(f166,plain,( 0.19/2.81 ! [X1,X0] : (? [X3] : (model(X3,X1) & model(X3,X0)) => (model(sK33(X0,X1),X1) & model(sK33(X0,X1),X0)))), 0.19/2.81 introduced(choice_axiom,[])). 0.19/2.81 fof(f164,plain,( 0.19/2.81 ! [X0,X1] : (((? [X2] : (model(X2,not(X1)) & model(X2,X0)) & ? [X3] : (model(X3,X1) & model(X3,X0))) | ~status(X0,X1,noc)) & (status(X0,X1,noc) | ! [X4] : (~model(X4,not(X1)) | ~model(X4,X0)) | ! [X5] : (~model(X5,X1) | ~model(X5,X0))))), 0.19/2.81 inference(rectify,[],[f163])). 0.19/2.81 fof(f163,plain,( 0.19/2.81 ! [X0,X1] : (((? [X2] : (model(X2,not(X1)) & model(X2,X0)) & ? [X3] : (model(X3,X1) & model(X3,X0))) | ~status(X0,X1,noc)) & (status(X0,X1,noc) | ! [X2] : (~model(X2,not(X1)) | ~model(X2,X0)) | ! [X3] : (~model(X3,X1) | ~model(X3,X0))))), 0.19/2.81 inference(flattening,[],[f162])). 0.19/2.81 fof(f162,plain,( 0.19/2.81 ! [X0,X1] : (((? [X2] : (model(X2,not(X1)) & model(X2,X0)) & ? [X3] : (model(X3,X1) & model(X3,X0))) | ~status(X0,X1,noc)) & (status(X0,X1,noc) | (! [X2] : (~model(X2,not(X1)) | ~model(X2,X0)) | ! [X3] : (~model(X3,X1) | ~model(X3,X0)))))), 0.19/2.81 inference(nnf_transformation,[],[f51])). 0.19/2.81 fof(f51,plain,( 0.19/2.81 ! [X0,X1] : ((? [X2] : (model(X2,not(X1)) & model(X2,X0)) & ? [X3] : (model(X3,X1) & model(X3,X0))) <=> status(X0,X1,noc))), 0.19/2.81 inference(rectify,[],[f12])). 0.19/2.81 fof(f12,axiom,( 0.19/2.81 ! [X0,X1] : ((? [X4] : (model(X4,not(X1)) & model(X4,X0)) & ? [X3] : (model(X3,X1) & model(X3,X0))) <=> status(X0,X1,noc))), 0.19/2.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',noc)). 0.19/2.81 fof(f1148,plain,( 0.19/2.81 ( ! [X169,X170,X168] : (~model(sK43,X168) | ~model(X169,X168) | ~model(X170,X168) | model(X170,sK41) | model(X169,sK41)) )), 0.19/2.81 inference(resolution,[],[f1080,f292])). 0.19/2.81 fof(f292,plain,( 0.19/2.81 model(sK43,sK41)), 0.19/2.81 inference(cnf_transformation,[],[f196])). 0.19/2.81 % SZS output end Proof for theBenchmark 0.19/2.81 % ------------------------------ 0.19/2.81 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.19/2.81 % Termination reason: Refutation 0.19/2.81 0.19/2.81 % Memory used [KB]: 5628 0.19/2.81 % Time elapsed: 0.024 s 0.19/2.81 % ------------------------------ 0.19/2.81 % ------------------------------ 0.19/2.81 % Success in time 0.089 s 0.19/2.81 EOF