0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : vampire --mode casc -t %d %s 0.13/0.33 % Computer : n005.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % DateTime : Thu Jul 2 06:35:36 EDT 2020 0.13/0.34 % CPUTime : 0.20/0.40 % 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 0.20/0.41 % Refutation found. Thanks to Tanya! 0.20/0.41 % SZS status Theorem for theBenchmark 0.20/0.41 % SZS output start Proof for theBenchmark 0.20/0.41 fof(f617,plain,( 0.20/0.41 $false), 0.20/0.41 inference(subsumption_resolution,[],[f606,f344])). 0.20/0.41 fof(f344,plain,( 0.20/0.41 ( ! [X0] : (model(X0,not(sK44))) )), 0.20/0.41 inference(resolution,[],[f329,f294])). 0.20/0.41 fof(f294,plain,( 0.20/0.41 ( ! [X1] : (~model(X1,sK44)) )), 0.20/0.41 inference(cnf_transformation,[],[f198])). 0.20/0.41 fof(f198,plain,( 0.20/0.41 ! [X1] : ~model(X1,sK44)), 0.20/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f63,f197])). 0.20/0.41 fof(f197,plain,( 0.20/0.41 ? [X0] : ! [X1] : ~model(X1,X0) => ! [X1] : ~model(X1,sK44)), 0.20/0.41 introduced(choice_axiom,[])). 0.20/0.41 fof(f63,plain,( 0.20/0.41 ? [X0] : ! [X1] : ~model(X1,X0)), 0.20/0.41 inference(rectify,[],[f20])). 0.20/0.41 fof(f20,axiom,( 0.20/0.41 ? [X6] : ! [X7] : ~model(X7,X6)), 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contradiction)). 0.20/0.41 fof(f329,plain,( 0.20/0.41 ( ! [X2,X3] : (model(sK18(not(not(X3))),X3) | model(X2,not(X3))) )), 0.20/0.41 inference(resolution,[],[f325,f214])). 0.20/0.41 fof(f214,plain,( 0.20/0.41 ( ! [X0,X1] : (model(X0,not(X1)) | model(X0,X1)) )), 0.20/0.41 inference(cnf_transformation,[],[f80])). 0.20/0.41 fof(f80,plain,( 0.20/0.41 ! [X0,X1] : ((~model(X0,not(X1)) | ~model(X0,X1)) & (model(X0,X1) | model(X0,not(X1))))), 0.20/0.41 inference(nnf_transformation,[],[f37])). 0.20/0.41 fof(f37,plain,( 0.20/0.41 ! [X0,X1] : (~model(X0,not(X1)) <=> model(X0,X1))), 0.20/0.41 inference(rectify,[],[f31])). 0.20/0.41 fof(f31,axiom,( 0.20/0.41 ! [X7,X6] : (~model(X7,not(X6)) <=> model(X7,X6))), 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not)). 0.20/0.41 fof(f325,plain,( 0.20/0.41 ( ! [X0,X1] : (~model(sK18(not(X0)),X0) | model(X1,X0)) )), 0.20/0.41 inference(resolution,[],[f324,f214])). 0.20/0.41 fof(f324,plain,( 0.20/0.41 ( ! [X2,X1] : (~model(X1,not(X2)) | ~model(sK18(not(X2)),X2)) )), 0.20/0.41 inference(resolution,[],[f322,f215])). 0.20/0.41 fof(f215,plain,( 0.20/0.41 ( ! [X0,X1] : (~model(X0,not(X1)) | ~model(X0,X1)) )), 0.20/0.41 inference(cnf_transformation,[],[f80])). 0.20/0.41 fof(f322,plain,( 0.20/0.41 ( ! [X0,X1] : (model(sK18(X0),X0) | ~model(X1,X0)) )), 0.20/0.41 inference(resolution,[],[f244,f243])). 0.20/0.41 fof(f243,plain,( 0.20/0.41 ( ! [X0,X3,X1] : (~status(X0,X1,cax) | ~model(X3,X0)) )), 0.20/0.41 inference(cnf_transformation,[],[f125])). 0.20/0.41 fof(f125,plain,( 0.20/0.41 ! [X0,X1] : ((status(X0,X1,cax) | model(sK18(X0),X0)) & (! [X3] : ~model(X3,X0) | ~status(X0,X1,cax)))), 0.20/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f123,f124])). 0.20/0.41 fof(f124,plain,( 0.20/0.41 ! [X0] : (? [X2] : model(X2,X0) => model(sK18(X0),X0))), 0.20/0.41 introduced(choice_axiom,[])). 0.20/0.41 fof(f123,plain,( 0.20/0.41 ! [X0,X1] : ((status(X0,X1,cax) | ? [X2] : model(X2,X0)) & (! [X3] : ~model(X3,X0) | ~status(X0,X1,cax)))), 0.20/0.41 inference(rectify,[],[f122])). 0.20/0.41 fof(f122,plain,( 0.20/0.41 ! [X0,X1] : ((status(X0,X1,cax) | ? [X2] : model(X2,X0)) & (! [X2] : ~model(X2,X0) | ~status(X0,X1,cax)))), 0.20/0.41 inference(nnf_transformation,[],[f72])). 0.20/0.41 fof(f72,plain,( 0.20/0.41 ! [X0,X1] : (status(X0,X1,cax) <=> ! [X2] : ~model(X2,X0))), 0.20/0.41 inference(ennf_transformation,[],[f44])). 0.20/0.41 fof(f44,plain,( 0.20/0.41 ! [X0,X1] : (status(X0,X1,cax) <=> ~? [X2] : model(X2,X0))), 0.20/0.41 inference(rectify,[],[f8])). 0.20/0.41 fof(f8,axiom,( 0.20/0.41 ! [X0,X1] : (status(X0,X1,cax) <=> ~? [X3] : model(X3,X0))), 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cax)). 0.20/0.41 fof(f244,plain,( 0.20/0.41 ( ! [X0,X1] : (status(X0,X1,cax) | model(sK18(X0),X0)) )), 0.20/0.41 inference(cnf_transformation,[],[f125])). 0.20/0.41 fof(f606,plain,( 0.20/0.41 ~model(sK43,not(sK44))), 0.20/0.41 inference(resolution,[],[f604,f344])). 0.20/0.41 fof(f604,plain,( 0.20/0.41 ( ! [X14] : (~model(sK42,X14) | ~model(sK43,X14)) )), 0.20/0.41 inference(resolution,[],[f591,f293])). 0.20/0.41 fof(f293,plain,( 0.20/0.41 ~model(sK42,sK41)), 0.20/0.41 inference(cnf_transformation,[],[f196])). 0.20/0.41 fof(f196,plain,( 0.20/0.41 ~model(sK42,sK41) & model(sK43,sK41)), 0.20/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43])],[f62,f195,f194,f193])). 0.20/0.41 fof(f193,plain,( 0.20/0.41 ? [X0] : (? [X1] : ~model(X1,X0) & ? [X2] : model(X2,X0)) => (? [X1] : ~model(X1,sK41) & ? [X2] : model(X2,sK41))), 0.20/0.41 introduced(choice_axiom,[])). 0.20/0.41 fof(f194,plain,( 0.20/0.41 ( ! [X0] : (? [X1] : ~model(X1,X0) => ~model(sK42,X0)) )), 0.20/0.41 introduced(choice_axiom,[])). 0.20/0.41 fof(f195,plain,( 0.20/0.41 ( ! [X0] : (? [X2] : model(X2,X0) => model(sK43,X0)) )), 0.20/0.41 introduced(choice_axiom,[])). 0.20/0.41 fof(f62,plain,( 0.20/0.41 ? [X0] : (? [X1] : ~model(X1,X0) & ? [X2] : model(X2,X0))), 0.20/0.41 inference(rectify,[],[f24])). 0.20/0.41 fof(f24,axiom,( 0.20/0.41 ? [X6] : (? [X4] : ~model(X4,X6) & ? [X3] : model(X3,X6))), 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satisfiable)). 0.20/0.41 fof(f591,plain,( 0.20/0.41 ( ! [X59,X60] : (model(X59,sK41) | ~model(sK43,X60) | ~model(X59,X60)) )), 0.20/0.41 inference(resolution,[],[f573,f292])). 0.20/0.41 fof(f292,plain,( 0.20/0.41 model(sK43,sK41)), 0.20/0.41 inference(cnf_transformation,[],[f196])). 0.20/0.41 fof(f573,plain,( 0.20/0.41 ( ! [X2,X0,X3,X1] : (~model(X3,X2) | model(X0,X2) | ~model(X3,X1) | ~model(X0,X1)) )), 0.20/0.41 inference(resolution,[],[f572,f283])). 0.20/0.41 fof(f283,plain,( 0.20/0.41 ( ! [X0,X3,X1] : (status(X0,X1,sat) | ~model(X3,X0) | ~model(X3,X1)) )), 0.20/0.41 inference(cnf_transformation,[],[f187])). 0.20/0.41 fof(f187,plain,( 0.20/0.41 ! [X0,X1] : (((model(sK39(X0,X1),X0) & model(sK39(X0,X1),X1)) | ~status(X0,X1,sat)) & (status(X0,X1,sat) | ! [X3] : (~model(X3,X0) | ~model(X3,X1))))), 0.20/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK39])],[f185,f186])). 0.20/0.41 fof(f186,plain,( 0.20/0.41 ! [X1,X0] : (? [X2] : (model(X2,X0) & model(X2,X1)) => (model(sK39(X0,X1),X0) & model(sK39(X0,X1),X1)))), 0.20/0.41 introduced(choice_axiom,[])). 0.20/0.41 fof(f185,plain,( 0.20/0.41 ! [X0,X1] : ((? [X2] : (model(X2,X0) & model(X2,X1)) | ~status(X0,X1,sat)) & (status(X0,X1,sat) | ! [X3] : (~model(X3,X0) | ~model(X3,X1))))), 0.20/0.41 inference(rectify,[],[f184])). 0.20/0.41 fof(f184,plain,( 0.20/0.41 ! [X0,X1] : ((? [X2] : (model(X2,X0) & model(X2,X1)) | ~status(X0,X1,sat)) & (status(X0,X1,sat) | ! [X2] : (~model(X2,X0) | ~model(X2,X1))))), 0.20/0.41 inference(nnf_transformation,[],[f57])). 0.20/0.41 fof(f57,plain,( 0.20/0.41 ! [X0,X1] : (? [X2] : (model(X2,X0) & model(X2,X1)) <=> status(X0,X1,sat))), 0.20/0.41 inference(rectify,[],[f19])). 0.20/0.41 fof(f19,axiom,( 0.20/0.41 ! [X0,X1] : (? [X3] : (model(X3,X0) & model(X3,X1)) <=> status(X0,X1,sat))), 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sat)). 0.20/0.41 fof(f572,plain,( 0.20/0.41 ( ! [X2,X0,X1] : (~status(X0,X1,sat) | ~model(X2,X0) | model(X2,X1)) )), 0.20/0.41 inference(resolution,[],[f571,f245])). 0.20/0.41 fof(f245,plain,( 0.20/0.41 ( ! [X0,X3,X1] : (~status(X0,X1,thm) | ~model(X3,X0) | model(X3,X1)) )), 0.20/0.41 inference(cnf_transformation,[],[f129])). 0.20/0.41 fof(f129,plain,( 0.20/0.41 ! [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)))), 0.20/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f127,f128])). 0.20/0.41 fof(f128,plain,( 0.20/0.41 ! [X1,X0] : (? [X2] : (~model(X2,X1) & model(X2,X0)) => (~model(sK19(X0,X1),X1) & model(sK19(X0,X1),X0)))), 0.20/0.41 introduced(choice_axiom,[])). 0.20/0.41 fof(f127,plain,( 0.20/0.41 ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X3] : (model(X3,X1) | ~model(X3,X0)) | ~status(X0,X1,thm)))), 0.20/0.41 inference(rectify,[],[f126])). 0.20/0.41 fof(f126,plain,( 0.20/0.41 ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)))), 0.20/0.41 inference(nnf_transformation,[],[f73])). 0.20/0.41 fof(f73,plain,( 0.20/0.41 ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X1) | ~model(X2,X0)))), 0.20/0.41 inference(ennf_transformation,[],[f45])). 0.20/0.41 fof(f45,plain,( 0.20/0.41 ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X0) => model(X2,X1)))), 0.20/0.41 inference(rectify,[],[f6])). 0.20/0.41 fof(f6,axiom,( 0.20/0.41 ! [X0,X1] : (status(X0,X1,thm) <=> ! [X3] : (model(X3,X0) => model(X3,X1)))), 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)). 0.20/0.41 fof(f571,plain,( 0.20/0.41 ( ! [X0,X1] : (status(X0,X1,thm) | ~status(X0,X1,sat)) )), 0.20/0.41 inference(resolution,[],[f289,f213])). 0.20/0.41 fof(f213,plain,( 0.20/0.41 ~nota(sat,thm)), 0.20/0.41 inference(cnf_transformation,[],[f35])). 0.20/0.41 fof(f35,plain,( 0.20/0.41 ~nota(sat,thm)), 0.20/0.41 inference(flattening,[],[f34])). 0.20/0.41 fof(f34,negated_conjecture,( 0.20/0.41 ~nota(sat,thm)), 0.20/0.41 inference(negated_conjecture,[],[f33])). 0.20/0.41 fof(f33,conjecture,( 0.20/0.41 nota(sat,thm)), 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_sat_thm)). 0.20/0.41 fof(f289,plain,( 0.20/0.41 ( ! [X2,X0,X3,X1] : (nota(X0,X1) | status(X2,X3,X1) | ~status(X2,X3,X0)) )), 0.20/0.41 inference(cnf_transformation,[],[f78])). 0.20/0.41 fof(f78,plain,( 0.20/0.41 ! [X0,X1] : (nota(X0,X1) | ! [X2,X3] : (status(X2,X3,X1) | ~status(X2,X3,X0)))), 0.20/0.41 inference(ennf_transformation,[],[f68])). 0.20/0.41 fof(f68,plain,( 0.20/0.41 ! [X0,X1] : (? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)) => nota(X0,X1))), 0.20/0.41 inference(unused_predicate_definition_removal,[],[f59])). 0.20/0.41 fof(f59,plain,( 0.20/0.41 ! [X0,X1] : (? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)) <=> nota(X0,X1))), 0.20/0.41 inference(rectify,[],[f28])). 0.20/0.41 fof(f28,axiom,( 0.20/0.41 ! [X8,X9] : (? [X0,X1] : (~status(X0,X1,X9) & status(X0,X1,X8)) <=> nota(X8,X9))), 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota)). 0.20/0.41 % SZS output end Proof for theBenchmark 0.20/0.41 % ------------------------------ 0.20/0.41 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.20/0.41 % Termination reason: Refutation 0.20/0.41 0.20/0.41 % Memory used [KB]: 5373 0.20/0.41 % Time elapsed: 0.011 s 0.20/0.41 % ------------------------------ 0.20/0.41 % ------------------------------ 0.20/0.41 % Success in time 0.072 s 0.20/0.41 EOF