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 : n126.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 04:41:10 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 0.58/0.77 % (11084)Time limit reached! 0.58/0.77 % ------------------------------ 0.58/0.77 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.58/0.77 % Termination reason: Time limit 0.58/0.77 % Termination phase: Saturation 0.58/0.77 0.58/0.77 % Memory used [KB]: 9466 0.58/0.77 % Time elapsed: 0.500 s 0.58/0.77 % ------------------------------ 0.58/0.77 % ------------------------------ 0.58/0.77 % remaining time: 5994 next slice time: 4 0.58/0.78 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 0.59/0.80 % Refutation found. Thanks to Tanya! 0.59/0.80 % SZS status Theorem for theBenchmark 0.59/0.80 % SZS output start Proof for theBenchmark 0.59/0.80 fof(f5,axiom,( 0.59/0.80 ! [X0,X1] : (! [X3] : (model(X3,X0) => model(X3,X1)) <=> status(X0,X1,thm))), 0.59/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)). 0.59/0.80 fof(f8,axiom,( 0.59/0.80 ! [X0,X1] : (status(X0,X1,eth) <=> (? [X3] : model(X3,X0) & ? [X2] : ~model(X2,X0) & ! [X4] : (model(X4,X1) <=> model(X4,X0))))), 0.59/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eth)). 0.59/0.80 fof(f23,axiom,( 0.59/0.80 ? [X8] : (? [X3] : model(X3,X8) & ? [X2] : ~model(X2,X8))), 0.59/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satisfiable)). 0.59/0.80 fof(f28,axiom,( 0.59/0.80 ! [X6,X7] : (? [X0,X1] : (status(X0,X1,X7) & status(X0,X1,X6)) <=> mighta(X6,X7))), 0.59/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta)). 0.59/0.80 fof(f33,conjecture,( 0.59/0.80 mighta(eth,thm)), 0.59/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_eth_thm)). 0.59/0.80 fof(f34,negated_conjecture,( 0.59/0.80 ~mighta(eth,thm)), 0.59/0.80 inference(negated_conjecture,[],[f33])). 0.59/0.80 fof(f35,plain,( 0.59/0.80 ~mighta(eth,thm)), 0.59/0.80 inference(flattening,[],[f34])). 0.59/0.80 fof(f41,plain,( 0.59/0.80 ! [X0,X1] : (status(X0,X1,eth) <=> (? [X2] : model(X2,X0) & ? [X3] : ~model(X3,X0) & ! [X4] : (model(X4,X1) <=> model(X4,X0))))), 0.59/0.80 inference(rectify,[],[f8])). 0.59/0.80 fof(f51,plain,( 0.59/0.80 ! [X0,X1] : (! [X2] : (model(X2,X0) => model(X2,X1)) <=> status(X0,X1,thm))), 0.59/0.80 inference(rectify,[],[f5])). 0.59/0.80 fof(f55,plain,( 0.59/0.80 ! [X0,X1] : (? [X2,X3] : (status(X2,X3,X1) & status(X2,X3,X0)) <=> mighta(X0,X1))), 0.59/0.80 inference(rectify,[],[f28])). 0.59/0.80 fof(f57,plain,( 0.59/0.80 ? [X0] : (? [X1] : model(X1,X0) & ? [X2] : ~model(X2,X0))), 0.59/0.80 inference(rectify,[],[f23])). 0.59/0.80 fof(f63,plain,( 0.59/0.80 ! [X0,X1] : (? [X2,X3] : (status(X2,X3,X1) & status(X2,X3,X0)) => mighta(X0,X1))), 0.59/0.80 inference(unused_predicate_definition_removal,[],[f55])). 0.59/0.80 fof(f72,plain,( 0.59/0.80 ! [X0,X1] : (! [X2] : (model(X2,X1) | ~model(X2,X0)) <=> status(X0,X1,thm))), 0.59/0.80 inference(ennf_transformation,[],[f51])). 0.59/0.80 fof(f73,plain,( 0.59/0.80 ! [X0,X1] : (mighta(X0,X1) | ! [X2,X3] : (~status(X2,X3,X1) | ~status(X2,X3,X0)))), 0.59/0.80 inference(ennf_transformation,[],[f63])). 0.59/0.80 fof(f88,plain,( 0.59/0.80 ! [X0,X1] : ((status(X0,X1,eth) | (! [X2] : ~model(X2,X0) | ! [X3] : model(X3,X0) | ? [X4] : ((~model(X4,X0) | ~model(X4,X1)) & (model(X4,X0) | model(X4,X1))))) & ((? [X2] : model(X2,X0) & ? [X3] : ~model(X3,X0) & ! [X4] : ((model(X4,X1) | ~model(X4,X0)) & (model(X4,X0) | ~model(X4,X1)))) | ~status(X0,X1,eth)))), 0.59/0.80 inference(nnf_transformation,[],[f41])). 0.59/0.80 fof(f89,plain,( 0.59/0.80 ! [X0,X1] : ((status(X0,X1,eth) | ! [X2] : ~model(X2,X0) | ! [X3] : model(X3,X0) | ? [X4] : ((~model(X4,X0) | ~model(X4,X1)) & (model(X4,X0) | model(X4,X1)))) & ((? [X2] : model(X2,X0) & ? [X3] : ~model(X3,X0) & ! [X4] : ((model(X4,X1) | ~model(X4,X0)) & (model(X4,X0) | ~model(X4,X1)))) | ~status(X0,X1,eth)))), 0.59/0.80 inference(flattening,[],[f88])). 0.59/0.80 fof(f90,plain,( 0.59/0.80 ! [X0,X1] : ((status(X0,X1,eth) | ! [X2] : ~model(X2,X0) | ! [X3] : model(X3,X0) | ? [X4] : ((~model(X4,X0) | ~model(X4,X1)) & (model(X4,X0) | model(X4,X1)))) & ((? [X5] : model(X5,X0) & ? [X6] : ~model(X6,X0) & ! [X7] : ((model(X7,X1) | ~model(X7,X0)) & (model(X7,X0) | ~model(X7,X1)))) | ~status(X0,X1,eth)))), 0.59/0.80 inference(rectify,[],[f89])). 0.59/0.80 fof(f91,plain,( 0.59/0.80 ! [X1,X0] : (? [X4] : ((~model(X4,X0) | ~model(X4,X1)) & (model(X4,X0) | model(X4,X1))) => ((~model(sK4(X0,X1),X0) | ~model(sK4(X0,X1),X1)) & (model(sK4(X0,X1),X0) | model(sK4(X0,X1),X1))))), 0.59/0.80 introduced(choice_axiom,[])). 0.59/0.80 fof(f92,plain,( 0.59/0.80 ! [X0] : (? [X5] : model(X5,X0) => model(sK5(X0),X0))), 0.59/0.80 introduced(choice_axiom,[])). 0.59/0.80 fof(f93,plain,( 0.59/0.80 ! [X0] : (? [X6] : ~model(X6,X0) => ~model(sK6(X0),X0))), 0.59/0.80 introduced(choice_axiom,[])). 0.59/0.80 fof(f94,plain,( 0.59/0.80 ! [X0,X1] : ((status(X0,X1,eth) | ! [X2] : ~model(X2,X0) | ! [X3] : model(X3,X0) | ((~model(sK4(X0,X1),X0) | ~model(sK4(X0,X1),X1)) & (model(sK4(X0,X1),X0) | model(sK4(X0,X1),X1)))) & ((model(sK5(X0),X0) & ~model(sK6(X0),X0) & ! [X7] : ((model(X7,X1) | ~model(X7,X0)) & (model(X7,X0) | ~model(X7,X1)))) | ~status(X0,X1,eth)))), 0.59/0.80 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f90,f93,f92,f91])). 0.59/0.80 fof(f175,plain,( 0.59/0.80 ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))))), 0.59/0.80 inference(nnf_transformation,[],[f72])). 0.59/0.80 fof(f176,plain,( 0.59/0.80 ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X3] : (~model(X3,X1) & model(X3,X0))))), 0.59/0.80 inference(rectify,[],[f175])). 0.59/0.80 fof(f177,plain,( 0.59/0.80 ! [X1,X0] : (? [X3] : (~model(X3,X1) & model(X3,X0)) => (~model(sK38(X0,X1),X1) & model(sK38(X0,X1),X0)))), 0.59/0.80 introduced(choice_axiom,[])). 0.59/0.80 fof(f178,plain,( 0.59/0.80 ! [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))))), 0.59/0.80 inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f176,f177])). 0.59/0.80 fof(f188,plain,( 0.59/0.80 ? [X0] : (? [X1] : model(X1,X0) & ? [X2] : ~model(X2,X0)) => (? [X1] : model(X1,sK41) & ? [X2] : ~model(X2,sK41))), 0.59/0.80 introduced(choice_axiom,[])). 0.59/0.80 fof(f189,plain,( 0.59/0.80 ( ! [X0] : (? [X1] : model(X1,X0) => model(sK42,X0)) )), 0.59/0.80 introduced(choice_axiom,[])). 0.59/0.80 fof(f190,plain,( 0.59/0.80 ( ! [X0] : (? [X2] : ~model(X2,X0) => ~model(sK43,X0)) )), 0.59/0.80 introduced(choice_axiom,[])). 0.59/0.80 fof(f191,plain,( 0.59/0.80 model(sK42,sK41) & ~model(sK43,sK41)), 0.59/0.80 inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43])],[f57,f190,f189,f188])). 0.59/0.80 fof(f208,plain,( 0.59/0.80 ~mighta(eth,thm)), 0.59/0.80 inference(cnf_transformation,[],[f35])). 0.59/0.80 fof(f221,plain,( 0.59/0.80 ( ! [X2,X0,X3,X1] : (status(X0,X1,eth) | ~model(X2,X0) | model(X3,X0) | model(sK4(X0,X1),X0) | model(sK4(X0,X1),X1)) )), 0.59/0.80 inference(cnf_transformation,[],[f94])). 0.59/0.80 fof(f222,plain,( 0.59/0.80 ( ! [X2,X0,X3,X1] : (status(X0,X1,eth) | ~model(X2,X0) | model(X3,X0) | ~model(sK4(X0,X1),X0) | ~model(sK4(X0,X1),X1)) )), 0.59/0.80 inference(cnf_transformation,[],[f94])). 0.59/0.80 fof(f275,plain,( 0.59/0.80 ( ! [X0,X1] : (status(X0,X1,thm) | model(sK38(X0,X1),X0)) )), 0.59/0.80 inference(cnf_transformation,[],[f178])). 0.59/0.80 fof(f276,plain,( 0.59/0.80 ( ! [X0,X1] : (status(X0,X1,thm) | ~model(sK38(X0,X1),X1)) )), 0.59/0.80 inference(cnf_transformation,[],[f178])). 0.59/0.80 fof(f277,plain,( 0.59/0.80 ( ! [X2,X0,X1] : (~status(X0,X1,thm) | ~model(X2,X0) | model(X2,X1)) )), 0.59/0.80 inference(cnf_transformation,[],[f178])). 0.59/0.80 fof(f284,plain,( 0.59/0.80 ( ! [X2,X0,X3,X1] : (mighta(X0,X1) | ~status(X2,X3,X1) | ~status(X2,X3,X0)) )), 0.59/0.80 inference(cnf_transformation,[],[f73])). 0.59/0.80 fof(f287,plain,( 0.59/0.80 ~model(sK43,sK41)), 0.59/0.80 inference(cnf_transformation,[],[f191])). 0.59/0.80 fof(f288,plain,( 0.59/0.80 model(sK42,sK41)), 0.59/0.80 inference(cnf_transformation,[],[f191])). 0.59/0.80 fof(f566,plain,( 0.59/0.80 ( ! [X0,X1] : (~status(X0,X1,eth) | ~status(X0,X1,thm)) )), 0.59/0.80 inference(resolution,[],[f284,f208])). 0.59/0.80 fof(f1222,plain,( 0.59/0.80 ( ! [X2,X0,X3,X1] : (~model(X0,X1) | model(X2,X1) | model(sK4(X1,X3),X1) | model(sK4(X1,X3),X3) | ~status(X1,X3,thm)) )), 0.59/0.80 inference(resolution,[],[f221,f566])). 0.59/0.80 fof(f1227,plain,( 0.59/0.80 ( ! [X2,X0,X3,X1] : (~status(X1,X3,thm) | model(X2,X1) | model(sK4(X1,X3),X3) | ~model(X0,X1)) )), 0.59/0.80 inference(subsumption_resolution,[],[f1222,f277])). 0.59/0.80 fof(f1228,plain,( 0.59/0.80 ( ! [X2,X0,X3,X1] : (model(sK4(X1,X2),X2) | model(X0,X1) | ~model(X3,X1) | ~model(sK38(X1,X2),X2)) )), 0.59/0.80 inference(resolution,[],[f1227,f276])). 0.59/0.80 fof(f1229,plain,( 0.59/0.80 ( ! [X6,X4,X7,X5] : (model(sK4(X5,X6),X6) | model(X4,X5) | ~model(X7,X5) | model(sK38(X5,X6),X5)) )), 0.59/0.80 inference(resolution,[],[f1227,f275])). 0.59/0.80 fof(f1242,plain,( 0.59/0.80 ( ! [X0,X1] : (model(sK4(X0,X0),X0) | ~model(X1,X0) | ~model(sK38(X0,X0),X0)) )), 0.59/0.80 inference(factoring,[],[f1228])). 0.59/0.80 fof(f1243,plain,( 0.59/0.80 ( ! [X0] : (model(sK4(X0,X0),X0) | ~model(sK38(X0,X0),X0)) )), 0.59/0.80 inference(subsumption_resolution,[],[f1242,f1228])). 0.59/0.80 fof(f1291,plain,( 0.59/0.80 ( ! [X0,X1] : (model(sK4(X0,X0),X0) | ~model(X1,X0) | model(sK38(X0,X0),X0)) )), 0.59/0.80 inference(factoring,[],[f1229])). 0.59/0.80 fof(f1292,plain,( 0.59/0.80 ( ! [X0,X1] : (model(sK4(X0,X0),X0) | ~model(X1,X0)) )), 0.59/0.80 inference(subsumption_resolution,[],[f1291,f1243])). 0.59/0.80 fof(f1344,plain,( 0.59/0.80 ( ! [X2,X0,X3,X1] : (~model(X0,X1) | model(X2,X1) | ~model(sK4(X1,X3),X1) | ~model(sK4(X1,X3),X3) | ~status(X1,X3,thm)) )), 0.59/0.80 inference(resolution,[],[f222,f566])). 0.59/0.80 fof(f1349,plain,( 0.59/0.80 ( ! [X2,X0,X3,X1] : (~status(X1,X3,thm) | model(X2,X1) | ~model(sK4(X1,X3),X1) | ~model(X0,X1)) )), 0.59/0.80 inference(subsumption_resolution,[],[f1344,f277])). 0.59/0.80 fof(f1814,plain,( 0.59/0.80 ( ! [X2,X0,X3,X1] : (~model(sK4(X1,X2),X1) | model(X0,X1) | ~model(X3,X1) | ~model(sK38(X1,X2),X2)) )), 0.59/0.80 inference(resolution,[],[f1349,f276])). 0.59/0.80 fof(f1815,plain,( 0.59/0.80 ( ! [X6,X4,X7,X5] : (model(sK38(X5,X6),X5) | ~model(sK4(X5,X6),X5) | ~model(X7,X5) | model(X4,X5)) )), 0.59/0.80 inference(resolution,[],[f1349,f275])). 0.59/0.80 fof(f2180,plain,( 0.59/0.80 ( ! [X14,X15,X16] : (model(X14,X15) | ~model(X16,X15) | ~model(sK38(X15,X15),X15) | ~model(sK38(X15,X15),X15)) )), 0.59/0.80 inference(resolution,[],[f1814,f1243])). 0.59/0.80 fof(f2197,plain,( 0.59/0.80 ( ! [X14,X15,X16] : (~model(sK38(X15,X15),X15) | ~model(X16,X15) | model(X14,X15)) )), 0.59/0.80 inference(duplicate_literal_removal,[],[f2180])). 0.59/0.80 fof(f2274,plain,( 0.59/0.80 ( ! [X2,X0,X1] : (model(sK38(X0,X1),X0) | ~model(sK4(X0,X1),X0) | ~model(X2,X0)) )), 0.59/0.80 inference(factoring,[],[f1815])). 0.59/0.80 fof(f2276,plain,( 0.59/0.80 ( ! [X0,X1] : (model(sK38(X0,X1),X0) | ~model(sK4(X0,X1),X0)) )), 0.59/0.80 inference(subsumption_resolution,[],[f2274,f1815])). 0.59/0.80 fof(f2279,plain,( 0.59/0.80 ( ! [X4,X5,X3] : (~model(sK4(X3,X3),X3) | ~model(X4,X3) | model(X5,X3)) )), 0.59/0.80 inference(resolution,[],[f2276,f2197])). 0.59/0.80 fof(f2296,plain,( 0.59/0.80 ( ! [X4,X5,X3] : (~model(X4,X3) | model(X5,X3)) )), 0.59/0.80 inference(subsumption_resolution,[],[f2279,f1292])). 0.59/0.80 fof(f2365,plain,( 0.59/0.80 ( ! [X191] : (model(X191,sK41)) )), 0.59/0.80 inference(resolution,[],[f2296,f288])). 0.59/0.80 fof(f2404,plain,( 0.59/0.80 $false), 0.59/0.80 inference(resolution,[],[f2365,f287])). 0.59/0.80 % SZS output end Proof for theBenchmark 0.59/0.80 % ------------------------------ 0.59/0.80 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.59/0.80 % Termination reason: Refutation 0.59/0.80 0.59/0.80 % Memory used [KB]: 5884 0.59/0.80 % Time elapsed: 0.025 s 0.59/0.80 % ------------------------------ 0.59/0.80 % ------------------------------ 0.59/0.80 % Success in time 0.557 s 0.59/0.80 EOF