0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.03/0.24 % Computer : n025.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 04:18:40 CDT 2018 0.03/0.24 % CPUTime : 0.03/0.24 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.24 % remaining time: 5999 next slice time: 4 0.03/0.27 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 0.07/0.31 % Refutation found. Thanks to Tanya! 0.07/0.31 % SZS status Theorem for theBenchmark 0.07/0.31 % SZS output start Proof for theBenchmark 0.07/0.31 fof(f5,axiom,( 0.07/0.31 ! [X0,X1] : (! [X3] : (model(X3,X0) => model(X3,X1)) <=> status(X0,X1,thm))), 0.07/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm)). 0.07/0.31 fof(f19,axiom,( 0.07/0.31 ! [X0,X1] : (status(X0,X1,eqv) <=> (? [X3] : model(X3,X0) & ! [X2] : (model(X2,X0) <=> model(X2,X1))))), 0.07/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqv)). 0.07/0.31 fof(f28,axiom,( 0.07/0.31 ! [X6,X7] : (? [X0,X1] : (status(X0,X1,X7) & status(X0,X1,X6)) <=> mighta(X6,X7))), 0.07/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta)). 0.07/0.31 fof(f30,axiom,( 0.07/0.31 ? [X8] : ! [X9] : model(X9,X8)), 0.07/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology)). 0.07/0.31 fof(f33,conjecture,( 0.07/0.31 mighta(eqv,thm)), 0.07/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_eqv_thm)). 0.07/0.31 fof(f34,negated_conjecture,( 0.07/0.31 ~mighta(eqv,thm)), 0.07/0.31 inference(negated_conjecture,[],[f33])). 0.07/0.31 fof(f35,plain,( 0.07/0.31 ~mighta(eqv,thm)), 0.07/0.31 inference(flattening,[],[f34])). 0.07/0.31 fof(f42,plain,( 0.07/0.31 ! [X0,X1] : (status(X0,X1,eqv) <=> (? [X2] : model(X2,X0) & ! [X3] : (model(X3,X0) <=> model(X3,X1))))), 0.07/0.31 inference(rectify,[],[f19])). 0.07/0.31 fof(f51,plain,( 0.07/0.31 ! [X0,X1] : (! [X2] : (model(X2,X0) => model(X2,X1)) <=> status(X0,X1,thm))), 0.07/0.31 inference(rectify,[],[f5])). 0.07/0.31 fof(f55,plain,( 0.07/0.31 ! [X0,X1] : (? [X2,X3] : (status(X2,X3,X1) & status(X2,X3,X0)) <=> mighta(X0,X1))), 0.07/0.31 inference(rectify,[],[f28])). 0.07/0.31 fof(f59,plain,( 0.07/0.31 ? [X0] : ! [X1] : model(X1,X0)), 0.07/0.31 inference(rectify,[],[f30])). 0.07/0.31 fof(f63,plain,( 0.07/0.31 ! [X0,X1] : (? [X2,X3] : (status(X2,X3,X1) & status(X2,X3,X0)) => mighta(X0,X1))), 0.07/0.31 inference(unused_predicate_definition_removal,[],[f55])). 0.07/0.31 fof(f72,plain,( 0.07/0.31 ! [X0,X1] : (! [X2] : (model(X2,X1) | ~model(X2,X0)) <=> status(X0,X1,thm))), 0.07/0.31 inference(ennf_transformation,[],[f51])). 0.07/0.31 fof(f73,plain,( 0.07/0.31 ! [X0,X1] : (mighta(X0,X1) | ! [X2,X3] : (~status(X2,X3,X1) | ~status(X2,X3,X0)))), 0.07/0.31 inference(ennf_transformation,[],[f63])). 0.07/0.31 fof(f95,plain,( 0.07/0.31 ! [X0,X1] : ((status(X0,X1,eqv) | (! [X2] : ~model(X2,X0) | ? [X3] : ((~model(X3,X1) | ~model(X3,X0)) & (model(X3,X1) | model(X3,X0))))) & ((? [X2] : model(X2,X0) & ! [X3] : ((model(X3,X0) | ~model(X3,X1)) & (model(X3,X1) | ~model(X3,X0)))) | ~status(X0,X1,eqv)))), 0.07/0.31 inference(nnf_transformation,[],[f42])). 0.07/0.31 fof(f96,plain,( 0.07/0.31 ! [X0,X1] : ((status(X0,X1,eqv) | ! [X2] : ~model(X2,X0) | ? [X3] : ((~model(X3,X1) | ~model(X3,X0)) & (model(X3,X1) | model(X3,X0)))) & ((? [X2] : model(X2,X0) & ! [X3] : ((model(X3,X0) | ~model(X3,X1)) & (model(X3,X1) | ~model(X3,X0)))) | ~status(X0,X1,eqv)))), 0.07/0.31 inference(flattening,[],[f95])). 0.07/0.31 fof(f97,plain,( 0.07/0.31 ! [X0,X1] : ((status(X0,X1,eqv) | ! [X2] : ~model(X2,X0) | ? [X3] : ((~model(X3,X1) | ~model(X3,X0)) & (model(X3,X1) | model(X3,X0)))) & ((? [X4] : model(X4,X0) & ! [X5] : ((model(X5,X0) | ~model(X5,X1)) & (model(X5,X1) | ~model(X5,X0)))) | ~status(X0,X1,eqv)))), 0.07/0.31 inference(rectify,[],[f96])). 0.07/0.31 fof(f98,plain,( 0.07/0.31 ! [X1,X0] : (? [X3] : ((~model(X3,X1) | ~model(X3,X0)) & (model(X3,X1) | model(X3,X0))) => ((~model(sK7(X0,X1),X1) | ~model(sK7(X0,X1),X0)) & (model(sK7(X0,X1),X1) | model(sK7(X0,X1),X0))))), 0.07/0.31 introduced(choice_axiom,[])). 0.07/0.31 fof(f99,plain,( 0.07/0.31 ! [X0] : (? [X4] : model(X4,X0) => model(sK8(X0),X0))), 0.07/0.31 introduced(choice_axiom,[])). 0.07/0.31 fof(f100,plain,( 0.07/0.31 ! [X0,X1] : ((status(X0,X1,eqv) | ! [X2] : ~model(X2,X0) | ((~model(sK7(X0,X1),X1) | ~model(sK7(X0,X1),X0)) & (model(sK7(X0,X1),X1) | model(sK7(X0,X1),X0)))) & ((model(sK8(X0),X0) & ! [X5] : ((model(X5,X0) | ~model(X5,X1)) & (model(X5,X1) | ~model(X5,X0)))) | ~status(X0,X1,eqv)))), 0.07/0.31 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f97,f99,f98])). 0.07/0.31 fof(f175,plain,( 0.07/0.31 ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))))), 0.07/0.31 inference(nnf_transformation,[],[f72])). 0.07/0.31 fof(f176,plain,( 0.07/0.31 ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X3] : (~model(X3,X1) & model(X3,X0))))), 0.07/0.31 inference(rectify,[],[f175])). 0.07/0.31 fof(f177,plain,( 0.07/0.31 ! [X1,X0] : (? [X3] : (~model(X3,X1) & model(X3,X0)) => (~model(sK38(X0,X1),X1) & model(sK38(X0,X1),X0)))), 0.07/0.31 introduced(choice_axiom,[])). 0.07/0.31 fof(f178,plain,( 0.07/0.31 ! [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))))), 0.07/0.31 inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f176,f177])). 0.07/0.31 fof(f194,plain,( 0.07/0.31 ? [X0] : ! [X1] : model(X1,X0) => ! [X1] : model(X1,sK45)), 0.07/0.31 introduced(choice_axiom,[])). 0.07/0.31 fof(f195,plain,( 0.07/0.31 ! [X1] : model(X1,sK45)), 0.07/0.31 inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f59,f194])). 0.07/0.31 fof(f208,plain,( 0.07/0.31 ~mighta(eqv,thm)), 0.07/0.31 inference(cnf_transformation,[],[f35])). 0.07/0.31 fof(f227,plain,( 0.07/0.31 ( ! [X2,X0,X1] : (status(X0,X1,eqv) | ~model(X2,X0) | ~model(sK7(X0,X1),X1) | ~model(sK7(X0,X1),X0)) )), 0.07/0.31 inference(cnf_transformation,[],[f100])). 0.07/0.31 fof(f276,plain,( 0.07/0.31 ( ! [X0,X1] : (~model(sK38(X0,X1),X1) | status(X0,X1,thm)) )), 0.07/0.31 inference(cnf_transformation,[],[f178])). 0.07/0.31 fof(f284,plain,( 0.07/0.31 ( ! [X2,X0,X3,X1] : (~status(X2,X3,X1) | mighta(X0,X1) | ~status(X2,X3,X0)) )), 0.07/0.31 inference(cnf_transformation,[],[f73])). 0.07/0.31 fof(f290,plain,( 0.07/0.31 ( ! [X1] : (model(X1,sK45)) )), 0.07/0.31 inference(cnf_transformation,[],[f195])). 0.07/0.31 fof(f302,plain,( 0.07/0.31 ( ! [X0,X1] : (~model(sK7(X0,X1),X1) | status(X0,X1,eqv) | ~model(sK7(X0,X1),X0)) )), 0.07/0.31 inference(condensation,[],[f227])). 0.07/0.31 fof(f672,plain,( 0.07/0.31 ( ! [X0] : (status(X0,sK45,thm)) )), 0.07/0.31 inference(unit_resulting_resolution,[],[f290,f276])). 0.07/0.31 fof(f1998,plain,( 0.07/0.31 status(sK45,sK45,eqv)), 0.07/0.31 inference(unit_resulting_resolution,[],[f290,f290,f302])). 0.07/0.31 fof(f4454,plain,( 0.07/0.31 $false), 0.07/0.31 inference(unit_resulting_resolution,[],[f208,f672,f1998,f284])). 0.07/0.31 % SZS output end Proof for theBenchmark 0.07/0.31 % ------------------------------ 0.07/0.31 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.07/0.31 % Termination reason: Refutation 0.07/0.31 0.07/0.31 % Memory used [KB]: 6524 0.07/0.31 % Time elapsed: 0.037 s 0.07/0.31 % ------------------------------ 0.07/0.31 % ------------------------------ 0.07/0.31 % Success in time 0.068 s 0.07/0.33 EOF