0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.02/0.23 % Computer : n125.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 04:22:42 CDT 2018 0.02/0.23 % CPUTime : 0.02/0.23 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.02/0.23 % remaining time: 5999 next slice time: 4 0.02/0.27 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 0.06/0.30 % Refutation found. Thanks to Tanya! 0.06/0.30 % SZS status Theorem for theBenchmark 0.06/0.30 % SZS output start Proof for theBenchmark 0.06/0.30 fof(f5,axiom,( 0.06/0.30 ! [X0,X1] : (! [X3] : (model(X3,X0) => model(X3,X1)) <=> status(X0,X1,thm))), 0.06/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm)). 0.06/0.30 fof(f15,axiom,( 0.06/0.30 ! [X0,X1] : (status(X0,X1,tac) <=> (! [X2] : model(X2,X1) & ? [X3] : model(X3,X0)))), 0.06/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tac)). 0.06/0.30 fof(f28,axiom,( 0.06/0.30 ! [X6,X7] : (? [X0,X1] : (status(X0,X1,X7) & status(X0,X1,X6)) <=> mighta(X6,X7))), 0.06/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta)). 0.06/0.30 fof(f30,axiom,( 0.06/0.30 ? [X8] : ! [X9] : model(X9,X8)), 0.06/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology)). 0.06/0.30 fof(f33,conjecture,( 0.06/0.30 mighta(tac,thm)), 0.06/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_tac_thm)). 0.06/0.30 fof(f34,negated_conjecture,( 0.06/0.30 ~mighta(tac,thm)), 0.06/0.30 inference(negated_conjecture,[],[f33])). 0.06/0.30 fof(f35,plain,( 0.06/0.30 ~mighta(tac,thm)), 0.06/0.30 inference(flattening,[],[f34])). 0.06/0.30 fof(f51,plain,( 0.06/0.30 ! [X0,X1] : (! [X2] : (model(X2,X0) => model(X2,X1)) <=> status(X0,X1,thm))), 0.06/0.30 inference(rectify,[],[f5])). 0.06/0.30 fof(f55,plain,( 0.06/0.30 ! [X0,X1] : (? [X2,X3] : (status(X2,X3,X1) & status(X2,X3,X0)) <=> mighta(X0,X1))), 0.06/0.30 inference(rectify,[],[f28])). 0.06/0.30 fof(f59,plain,( 0.06/0.30 ? [X0] : ! [X1] : model(X1,X0)), 0.06/0.30 inference(rectify,[],[f30])). 0.06/0.30 fof(f63,plain,( 0.06/0.30 ! [X0,X1] : (? [X2,X3] : (status(X2,X3,X1) & status(X2,X3,X0)) => mighta(X0,X1))), 0.06/0.30 inference(unused_predicate_definition_removal,[],[f55])). 0.06/0.30 fof(f72,plain,( 0.06/0.30 ! [X0,X1] : (! [X2] : (model(X2,X1) | ~model(X2,X0)) <=> status(X0,X1,thm))), 0.06/0.30 inference(ennf_transformation,[],[f51])). 0.06/0.30 fof(f73,plain,( 0.06/0.30 ! [X0,X1] : (mighta(X0,X1) | ! [X2,X3] : (~status(X2,X3,X1) | ~status(X2,X3,X0)))), 0.06/0.30 inference(ennf_transformation,[],[f63])). 0.06/0.30 fof(f101,plain,( 0.06/0.30 ! [X0,X1] : ((status(X0,X1,tac) | (? [X2] : ~model(X2,X1) | ! [X3] : ~model(X3,X0))) & ((! [X2] : model(X2,X1) & ? [X3] : model(X3,X0)) | ~status(X0,X1,tac)))), 0.06/0.30 inference(nnf_transformation,[],[f15])). 0.06/0.30 fof(f102,plain,( 0.06/0.30 ! [X0,X1] : ((status(X0,X1,tac) | ? [X2] : ~model(X2,X1) | ! [X3] : ~model(X3,X0)) & ((! [X2] : model(X2,X1) & ? [X3] : model(X3,X0)) | ~status(X0,X1,tac)))), 0.06/0.30 inference(flattening,[],[f101])). 0.06/0.30 fof(f103,plain,( 0.06/0.30 ! [X0,X1] : ((status(X0,X1,tac) | ? [X2] : ~model(X2,X1) | ! [X3] : ~model(X3,X0)) & ((! [X4] : model(X4,X1) & ? [X5] : model(X5,X0)) | ~status(X0,X1,tac)))), 0.06/0.30 inference(rectify,[],[f102])). 0.06/0.30 fof(f104,plain,( 0.06/0.30 ! [X1] : (? [X2] : ~model(X2,X1) => ~model(sK9(X1),X1))), 0.06/0.30 introduced(choice_axiom,[])). 0.06/0.30 fof(f105,plain,( 0.06/0.30 ! [X0] : (? [X5] : model(X5,X0) => model(sK10(X0),X0))), 0.06/0.30 introduced(choice_axiom,[])). 0.06/0.30 fof(f106,plain,( 0.06/0.30 ! [X0,X1] : ((status(X0,X1,tac) | ~model(sK9(X1),X1) | ! [X3] : ~model(X3,X0)) & ((! [X4] : model(X4,X1) & model(sK10(X0),X0)) | ~status(X0,X1,tac)))), 0.06/0.30 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f103,f105,f104])). 0.06/0.30 fof(f175,plain,( 0.06/0.30 ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))))), 0.06/0.30 inference(nnf_transformation,[],[f72])). 0.06/0.30 fof(f176,plain,( 0.06/0.30 ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X3] : (~model(X3,X1) & model(X3,X0))))), 0.06/0.30 inference(rectify,[],[f175])). 0.06/0.30 fof(f177,plain,( 0.06/0.30 ! [X1,X0] : (? [X3] : (~model(X3,X1) & model(X3,X0)) => (~model(sK38(X0,X1),X1) & model(sK38(X0,X1),X0)))), 0.06/0.30 introduced(choice_axiom,[])). 0.06/0.30 fof(f178,plain,( 0.06/0.30 ! [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))))), 0.06/0.30 inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f176,f177])). 0.06/0.30 fof(f194,plain,( 0.06/0.30 ? [X0] : ! [X1] : model(X1,X0) => ! [X1] : model(X1,sK45)), 0.06/0.30 introduced(choice_axiom,[])). 0.06/0.30 fof(f195,plain,( 0.06/0.30 ! [X1] : model(X1,sK45)), 0.06/0.30 inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f59,f194])). 0.06/0.30 fof(f208,plain,( 0.06/0.30 ~mighta(tac,thm)), 0.06/0.30 inference(cnf_transformation,[],[f35])). 0.06/0.30 fof(f230,plain,( 0.06/0.30 ( ! [X0,X3,X1] : (~model(sK9(X1),X1) | status(X0,X1,tac) | ~model(X3,X0)) )), 0.06/0.30 inference(cnf_transformation,[],[f106])). 0.06/0.30 fof(f276,plain,( 0.06/0.30 ( ! [X0,X1] : (~model(sK38(X0,X1),X1) | status(X0,X1,thm)) )), 0.06/0.30 inference(cnf_transformation,[],[f178])). 0.06/0.30 fof(f284,plain,( 0.06/0.30 ( ! [X2,X0,X3,X1] : (~status(X2,X3,X1) | mighta(X0,X1) | ~status(X2,X3,X0)) )), 0.06/0.30 inference(cnf_transformation,[],[f73])). 0.06/0.30 fof(f290,plain,( 0.06/0.30 ( ! [X1] : (model(X1,sK45)) )), 0.06/0.30 inference(cnf_transformation,[],[f195])). 0.06/0.30 fof(f672,plain,( 0.06/0.30 ( ! [X0] : (status(X0,sK45,thm)) )), 0.06/0.30 inference(unit_resulting_resolution,[],[f290,f276])). 0.06/0.30 fof(f1543,plain,( 0.06/0.30 status(sK45,sK45,tac)), 0.06/0.30 inference(unit_resulting_resolution,[],[f290,f290,f230])). 0.06/0.30 fof(f3884,plain,( 0.06/0.30 $false), 0.06/0.30 inference(unit_resulting_resolution,[],[f208,f672,f1543,f284])). 0.06/0.30 % SZS output end Proof for theBenchmark 0.06/0.30 % ------------------------------ 0.06/0.30 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.06/0.30 % Termination reason: Refutation 0.06/0.30 0.06/0.30 % Memory used [KB]: 6396 0.06/0.30 % Time elapsed: 0.033 s 0.06/0.30 % ------------------------------ 0.06/0.30 % ------------------------------ 0.06/0.30 % Success in time 0.063 s 0.13/0.31 EOF