0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : vampire --mode casc -t %d %s 0.12/0.34 % Computer : n019.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % DateTime : Thu Jul 2 06:42:41 EDT 2020 0.12/0.34 % CPUTime : 0.12/0.41 % 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 0.20/0.42 % Refutation found. Thanks to Tanya! 0.20/0.42 % SZS status Theorem for theBenchmark 0.20/0.42 % SZS output start Proof for theBenchmark 0.20/0.42 fof(f599,plain,( 0.20/0.42 $false), 0.20/0.42 inference(avatar_sat_refutation,[],[f388,f472,f579,f598])). 0.20/0.42 fof(f598,plain,( 0.20/0.42 ~spl59_28), 0.20/0.42 inference(avatar_contradiction_clause,[],[f580])). 0.20/0.42 fof(f580,plain,( 0.20/0.42 $false | ~spl59_28), 0.20/0.42 inference(resolution,[],[f578,f295])). 0.20/0.42 fof(f295,plain,( 0.20/0.42 ( ! [X1] : (model(X1,sK45)) )), 0.20/0.42 inference(cnf_transformation,[],[f200])). 0.20/0.42 fof(f200,plain,( 0.20/0.42 ! [X1] : model(X1,sK45)), 0.20/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f64,f199])). 0.20/0.42 fof(f199,plain,( 0.20/0.42 ? [X0] : ! [X1] : model(X1,X0) => ! [X1] : model(X1,sK45)), 0.20/0.42 introduced(choice_axiom,[])). 0.20/0.42 fof(f64,plain,( 0.20/0.42 ? [X0] : ! [X1] : model(X1,X0)), 0.20/0.42 inference(rectify,[],[f27])). 0.20/0.42 fof(f27,axiom,( 0.20/0.42 ? [X6] : ! [X7] : model(X7,X6)), 0.20/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tautology)). 0.20/0.42 fof(f578,plain,( 0.20/0.42 ( ! [X2] : (~model(sK23(X2),X2)) ) | ~spl59_28), 0.20/0.42 inference(avatar_component_clause,[],[f577])). 0.20/0.42 fof(f577,plain,( 0.20/0.42 spl59_28 <=> ! [X2] : ~model(sK23(X2),X2)), 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl59_28])])). 0.20/0.42 fof(f579,plain,( 0.20/0.42 spl59_28 | spl59_8 | ~spl59_16), 0.20/0.42 inference(avatar_split_clause,[],[f575,f470,f356,f577])). 0.20/0.42 fof(f356,plain,( 0.20/0.42 spl59_8 <=> ! [X5,X4] : ~model(X4,X5)), 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl59_8])])). 0.20/0.42 fof(f470,plain,( 0.20/0.42 spl59_16 <=> ! [X5,X6] : (~model(sK23(X5),X5) | model(X6,X5))), 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl59_16])])). 0.20/0.42 fof(f575,plain,( 0.20/0.42 ( ! [X2,X0,X1] : (~model(X0,X1) | ~model(sK23(X2),X2)) ) | ~spl59_16), 0.20/0.42 inference(subsumption_resolution,[],[f573,f471])). 0.20/0.42 fof(f471,plain,( 0.20/0.42 ( ! [X6,X5] : (~model(sK23(X5),X5) | model(X6,X5)) ) | ~spl59_16), 0.20/0.42 inference(avatar_component_clause,[],[f470])). 0.20/0.42 fof(f573,plain,( 0.20/0.42 ( ! [X2,X0,X1] : (~model(X0,X1) | ~model(sK23(X2),X2) | ~model(sK19(X1,X2),X2)) )), 0.20/0.42 inference(resolution,[],[f572,f247])). 0.20/0.42 fof(f247,plain,( 0.20/0.42 ( ! [X0,X1] : (status(X0,X1,thm) | ~model(sK19(X0,X1),X1)) )), 0.20/0.42 inference(cnf_transformation,[],[f129])). 0.20/0.42 fof(f129,plain,( 0.20/0.42 ! [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)))), 0.20/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f127,f128])). 0.20/0.42 fof(f128,plain,( 0.20/0.42 ! [X1,X0] : (? [X2] : (~model(X2,X1) & model(X2,X0)) => (~model(sK19(X0,X1),X1) & model(sK19(X0,X1),X0)))), 0.20/0.42 introduced(choice_axiom,[])). 0.20/0.42 fof(f127,plain,( 0.20/0.42 ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X3] : (model(X3,X1) | ~model(X3,X0)) | ~status(X0,X1,thm)))), 0.20/0.42 inference(rectify,[],[f126])). 0.20/0.42 fof(f126,plain,( 0.20/0.42 ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)))), 0.20/0.42 inference(nnf_transformation,[],[f73])). 0.20/0.42 fof(f73,plain,( 0.20/0.42 ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X1) | ~model(X2,X0)))), 0.20/0.42 inference(ennf_transformation,[],[f45])). 0.20/0.42 fof(f45,plain,( 0.20/0.42 ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X0) => model(X2,X1)))), 0.20/0.42 inference(rectify,[],[f6])). 0.20/0.42 fof(f6,axiom,( 0.20/0.42 ! [X0,X1] : (status(X0,X1,thm) <=> ! [X3] : (model(X3,X0) => model(X3,X1)))), 0.20/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)). 0.20/0.42 fof(f572,plain,( 0.20/0.42 ( ! [X2,X0,X1] : (~status(X0,X1,thm) | ~model(X2,X0) | ~model(sK23(X1),X1)) )), 0.20/0.42 inference(resolution,[],[f571,f251])). 0.20/0.42 fof(f251,plain,( 0.20/0.42 ( ! [X4,X0,X1] : (status(X0,X1,tac) | ~model(X4,X0) | ~model(sK23(X1),X1)) )), 0.20/0.42 inference(cnf_transformation,[],[f141])). 0.20/0.42 fof(f141,plain,( 0.20/0.42 ! [X0,X1] : (((model(sK22(X0),X0) & ! [X3] : model(X3,X1)) | ~status(X0,X1,tac)) & (status(X0,X1,tac) | ! [X4] : ~model(X4,X0) | ~model(sK23(X1),X1)))), 0.20/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f138,f140,f139])). 0.20/0.42 fof(f139,plain,( 0.20/0.42 ! [X0] : (? [X2] : model(X2,X0) => model(sK22(X0),X0))), 0.20/0.42 introduced(choice_axiom,[])). 0.20/0.42 fof(f140,plain,( 0.20/0.42 ! [X1] : (? [X5] : ~model(X5,X1) => ~model(sK23(X1),X1))), 0.20/0.42 introduced(choice_axiom,[])). 0.20/0.42 fof(f138,plain,( 0.20/0.42 ! [X0,X1] : (((? [X2] : model(X2,X0) & ! [X3] : model(X3,X1)) | ~status(X0,X1,tac)) & (status(X0,X1,tac) | ! [X4] : ~model(X4,X0) | ? [X5] : ~model(X5,X1)))), 0.20/0.42 inference(rectify,[],[f137])). 0.20/0.42 fof(f137,plain,( 0.20/0.42 ! [X0,X1] : (((? [X2] : model(X2,X0) & ! [X3] : model(X3,X1)) | ~status(X0,X1,tac)) & (status(X0,X1,tac) | ! [X2] : ~model(X2,X0) | ? [X3] : ~model(X3,X1)))), 0.20/0.42 inference(flattening,[],[f136])). 0.20/0.42 fof(f136,plain,( 0.20/0.42 ! [X0,X1] : (((? [X2] : model(X2,X0) & ! [X3] : model(X3,X1)) | ~status(X0,X1,tac)) & (status(X0,X1,tac) | (! [X2] : ~model(X2,X0) | ? [X3] : ~model(X3,X1))))), 0.20/0.42 inference(nnf_transformation,[],[f47])). 0.20/0.42 fof(f47,plain,( 0.20/0.42 ! [X0,X1] : ((? [X2] : model(X2,X0) & ! [X3] : model(X3,X1)) <=> status(X0,X1,tac))), 0.20/0.42 inference(rectify,[],[f3])). 0.20/0.42 fof(f3,axiom,( 0.20/0.42 ! [X0,X1] : ((? [X3] : model(X3,X0) & ! [X4] : model(X4,X1)) <=> status(X0,X1,tac))), 0.20/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tac)). 0.20/0.42 fof(f571,plain,( 0.20/0.42 ( ! [X0,X1] : (~status(X0,X1,tac) | ~status(X0,X1,thm)) )), 0.20/0.42 inference(resolution,[],[f289,f213])). 0.20/0.42 fof(f213,plain,( 0.20/0.42 ~mighta(tac,thm)), 0.20/0.42 inference(cnf_transformation,[],[f35])). 0.20/0.42 fof(f35,plain,( 0.20/0.42 ~mighta(tac,thm)), 0.20/0.42 inference(flattening,[],[f34])). 0.20/0.42 fof(f34,negated_conjecture,( 0.20/0.42 ~mighta(tac,thm)), 0.20/0.42 inference(negated_conjecture,[],[f33])). 0.20/0.42 fof(f33,conjecture,( 0.20/0.42 mighta(tac,thm)), 0.20/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_tac_thm)). 0.20/0.42 fof(f289,plain,( 0.20/0.42 ( ! [X2,X0,X3,X1] : (mighta(X0,X1) | ~status(X2,X3,X1) | ~status(X2,X3,X0)) )), 0.20/0.42 inference(cnf_transformation,[],[f78])). 0.20/0.42 fof(f78,plain,( 0.20/0.42 ! [X0,X1] : (mighta(X0,X1) | ! [X2,X3] : (~status(X2,X3,X1) | ~status(X2,X3,X0)))), 0.20/0.42 inference(ennf_transformation,[],[f68])). 0.20/0.42 fof(f68,plain,( 0.20/0.42 ! [X0,X1] : (? [X2,X3] : (status(X2,X3,X1) & status(X2,X3,X0)) => mighta(X0,X1))), 0.20/0.42 inference(unused_predicate_definition_removal,[],[f60])). 0.20/0.42 fof(f60,plain,( 0.20/0.42 ! [X0,X1] : (? [X2,X3] : (status(X2,X3,X1) & status(X2,X3,X0)) <=> mighta(X0,X1))), 0.20/0.42 inference(rectify,[],[f25])). 0.20/0.42 fof(f25,axiom,( 0.20/0.42 ! [X8,X9] : (? [X0,X1] : (status(X0,X1,X9) & status(X0,X1,X8)) <=> mighta(X8,X9))), 0.20/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta)). 0.20/0.42 fof(f472,plain,( 0.20/0.42 spl59_16 | spl59_8), 0.20/0.42 inference(avatar_split_clause,[],[f468,f356,f470])). 0.20/0.42 fof(f468,plain,( 0.20/0.42 ( ! [X6,X4,X5,X3] : (~model(X3,X4) | ~model(sK23(X5),X5) | model(X6,X5)) )), 0.20/0.42 inference(resolution,[],[f251,f252])). 0.20/0.42 fof(f252,plain,( 0.20/0.42 ( ! [X0,X3,X1] : (~status(X0,X1,tac) | model(X3,X1)) )), 0.20/0.42 inference(cnf_transformation,[],[f141])). 0.20/0.42 fof(f388,plain,( 0.20/0.42 ~spl59_8), 0.20/0.42 inference(avatar_contradiction_clause,[],[f387])). 0.20/0.42 fof(f387,plain,( 0.20/0.42 $false | ~spl59_8), 0.20/0.42 inference(subsumption_resolution,[],[f368,f357])). 0.20/0.42 fof(f357,plain,( 0.20/0.42 ( ! [X4,X5] : (~model(X4,X5)) ) | ~spl59_8), 0.20/0.42 inference(avatar_component_clause,[],[f356])). 0.20/0.42 fof(f368,plain,( 0.20/0.42 ( ! [X6,X7] : (model(X6,not(X7))) ) | ~spl59_8), 0.20/0.42 inference(resolution,[],[f357,f329])). 0.20/0.42 fof(f329,plain,( 0.20/0.42 ( ! [X2,X3] : (model(sK18(not(not(X3))),X3) | model(X2,not(X3))) )), 0.20/0.42 inference(resolution,[],[f325,f214])). 0.20/0.42 fof(f214,plain,( 0.20/0.42 ( ! [X0,X1] : (model(X0,not(X1)) | model(X0,X1)) )), 0.20/0.42 inference(cnf_transformation,[],[f80])). 0.20/0.42 fof(f80,plain,( 0.20/0.42 ! [X0,X1] : ((~model(X0,not(X1)) | ~model(X0,X1)) & (model(X0,X1) | model(X0,not(X1))))), 0.20/0.42 inference(nnf_transformation,[],[f37])). 0.20/0.42 fof(f37,plain,( 0.20/0.42 ! [X0,X1] : (~model(X0,not(X1)) <=> model(X0,X1))), 0.20/0.42 inference(rectify,[],[f31])). 0.20/0.42 fof(f31,axiom,( 0.20/0.42 ! [X7,X6] : (~model(X7,not(X6)) <=> model(X7,X6))), 0.20/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not)). 0.20/0.42 fof(f325,plain,( 0.20/0.42 ( ! [X0,X1] : (~model(sK18(not(X0)),X0) | model(X1,X0)) )), 0.20/0.42 inference(resolution,[],[f324,f214])). 0.20/0.42 fof(f324,plain,( 0.20/0.42 ( ! [X2,X1] : (~model(X1,not(X2)) | ~model(sK18(not(X2)),X2)) )), 0.20/0.42 inference(resolution,[],[f322,f215])). 0.20/0.42 fof(f215,plain,( 0.20/0.42 ( ! [X0,X1] : (~model(X0,not(X1)) | ~model(X0,X1)) )), 0.20/0.42 inference(cnf_transformation,[],[f80])). 0.20/0.42 fof(f322,plain,( 0.20/0.42 ( ! [X0,X1] : (model(sK18(X0),X0) | ~model(X1,X0)) )), 0.20/0.42 inference(resolution,[],[f244,f243])). 0.20/0.42 fof(f243,plain,( 0.20/0.42 ( ! [X0,X3,X1] : (~status(X0,X1,cax) | ~model(X3,X0)) )), 0.20/0.42 inference(cnf_transformation,[],[f125])). 0.20/0.42 fof(f125,plain,( 0.20/0.42 ! [X0,X1] : ((status(X0,X1,cax) | model(sK18(X0),X0)) & (! [X3] : ~model(X3,X0) | ~status(X0,X1,cax)))), 0.20/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f123,f124])). 0.20/0.42 fof(f124,plain,( 0.20/0.42 ! [X0] : (? [X2] : model(X2,X0) => model(sK18(X0),X0))), 0.20/0.42 introduced(choice_axiom,[])). 0.20/0.42 fof(f123,plain,( 0.20/0.42 ! [X0,X1] : ((status(X0,X1,cax) | ? [X2] : model(X2,X0)) & (! [X3] : ~model(X3,X0) | ~status(X0,X1,cax)))), 0.20/0.42 inference(rectify,[],[f122])). 0.20/0.42 fof(f122,plain,( 0.20/0.42 ! [X0,X1] : ((status(X0,X1,cax) | ? [X2] : model(X2,X0)) & (! [X2] : ~model(X2,X0) | ~status(X0,X1,cax)))), 0.20/0.42 inference(nnf_transformation,[],[f72])). 0.20/0.42 fof(f72,plain,( 0.20/0.42 ! [X0,X1] : (status(X0,X1,cax) <=> ! [X2] : ~model(X2,X0))), 0.20/0.42 inference(ennf_transformation,[],[f44])). 0.20/0.42 fof(f44,plain,( 0.20/0.42 ! [X0,X1] : (status(X0,X1,cax) <=> ~? [X2] : model(X2,X0))), 0.20/0.42 inference(rectify,[],[f8])). 0.20/0.42 fof(f8,axiom,( 0.20/0.42 ! [X0,X1] : (status(X0,X1,cax) <=> ~? [X3] : model(X3,X0))), 0.20/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cax)). 0.20/0.42 fof(f244,plain,( 0.20/0.42 ( ! [X0,X1] : (status(X0,X1,cax) | model(sK18(X0),X0)) )), 0.20/0.42 inference(cnf_transformation,[],[f125])). 0.20/0.42 % SZS output end Proof for theBenchmark 0.20/0.42 % ------------------------------ 0.20/0.42 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.20/0.42 % Termination reason: Refutation 0.20/0.42 0.20/0.42 % Memory used [KB]: 5373 0.20/0.42 % Time elapsed: 0.012 s 0.20/0.42 % ------------------------------ 0.20/0.42 % ------------------------------ 0.20/0.42 % Success in time 0.073 s 0.20/0.42 EOF