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 : n061.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 05:45:54 CDT 2018 0.03/0.24 % CPUTime : 0.07/0.56 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.07/0.56 % remaining time: 5996 next slice time: 4 0.07/0.60 dis+1002_2_add=off:afr=on:afp=10000:afq=2.0:amm=off:anc=none:cond=on:er=filter:fsr=off:nm=0:nwc=1.3:sp=occurrence_2 on theBenchmark 0.42/1.09 % (18101)Time limit reached! 0.42/1.09 % ------------------------------ 0.42/1.09 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.42/1.09 % Termination reason: Time limit 0.42/1.09 % Termination phase: Saturation 0.42/1.09 0.42/1.09 % Memory used [KB]: 31726 0.42/1.09 % Time elapsed: 0.500 s 0.42/1.09 % ------------------------------ 0.42/1.09 % ------------------------------ 0.42/1.10 % remaining time: 5991 next slice time: 4 0.42/1.10 lrs+10_1_av=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=5.0:sos=on:sp=reverse_arity_2 on theBenchmark 1.01/1.23 % Refutation found. Thanks to Tanya! 1.01/1.23 % SZS status Theorem for theBenchmark 1.01/1.23 % SZS output start Proof for theBenchmark 1.01/1.23 fof(f261,axiom,( 1.01/1.23 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G))), 1.01/1.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 1.01/1.23 fof(f1857,conjecture,( 1.01/1.23 ! [X134] : (! [X34] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X34),v_G)) => c_Hoare__Mirabelle_Otriple__valid(t_a,X134,X34)) => ! [X34] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X34),v_ts)) => c_Hoare__Mirabelle_Otriple__valid(t_a,X134,X34)))), 1.01/1.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)). 1.01/1.23 fof(f1858,negated_conjecture,( 1.01/1.23 ~! [X134] : (! [X34] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X34),v_G)) => c_Hoare__Mirabelle_Otriple__valid(t_a,X134,X34)) => ! [X34] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X34),v_ts)) => c_Hoare__Mirabelle_Otriple__valid(t_a,X134,X34)))), 1.01/1.23 inference(negated_conjecture,[],[f1857])). 1.01/1.23 fof(f2423,axiom,( 1.01/1.23 ! [X15,X10,X11] : (hBOOL(hAPP(X15,X10)) <=> hBOOL(hAPP(hAPP(c_member(X11),X10),X15)))), 1.01/1.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mem__def)). 1.01/1.23 fof(f2983,axiom,( 1.01/1.23 ! [X10,X96,X8,X11] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X11,tc_HOL_Obool)),X8),X96)) => (hBOOL(hAPP(X8,X10)) => hBOOL(hAPP(X96,X10))))), 1.01/1.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_predicate1D)). 1.01/1.23 fof(f5228,plain,( 1.01/1.23 ~! [X0] : (! [X1] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)) => ! [X2] : (hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)))), 1.01/1.23 inference(rectify,[],[f1858])). 1.01/1.23 fof(f5242,plain,( 1.01/1.23 ! [X0,X1,X2,X3] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)) => (hBOOL(hAPP(X2,X0)) => hBOOL(hAPP(X1,X0))))), 1.01/1.23 inference(rectify,[],[f2983])). 1.01/1.23 fof(f5258,plain,( 1.01/1.23 ! [X0,X1,X2] : (hBOOL(hAPP(X0,X1)) <=> hBOOL(hAPP(hAPP(c_member(X2),X1),X0)))), 1.01/1.23 inference(rectify,[],[f2423])). 1.01/1.23 fof(f6805,plain,( 1.01/1.23 ? [X0] : (? [X2] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))) & ! [X1] : (c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))))), 1.01/1.23 inference(ennf_transformation,[],[f5228])). 1.01/1.23 fof(f6828,plain,( 1.01/1.23 ! [X0,X1,X2,X3] : ((hBOOL(hAPP(X1,X0)) | ~hBOOL(hAPP(X2,X0))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)))), 1.01/1.23 inference(ennf_transformation,[],[f5242])). 1.01/1.23 fof(f6829,plain,( 1.01/1.23 ! [X0,X1,X2,X3] : (hBOOL(hAPP(X1,X0)) | ~hBOOL(hAPP(X2,X0)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)))), 1.01/1.23 inference(flattening,[],[f6828])). 1.01/1.23 fof(f7782,plain,( 1.01/1.23 ? [X0] : (? [X1] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts))) & ! [X2] : (c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))))), 1.01/1.23 inference(rectify,[],[f6805])). 1.01/1.23 fof(f7783,plain,( 1.01/1.23 ? [X0] : (? [X1] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts))) & ! [X2] : (c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)))) => (? [X1] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,sK13,X1) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts))) & ! [X2] : (c_Hoare__Mirabelle_Otriple__valid(t_a,sK13,X2) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))))), 1.01/1.23 introduced(choice_axiom,[])). 1.01/1.23 fof(f7784,plain,( 1.01/1.23 ( ! [X0] : (? [X1] : (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts))) => (~c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK14) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK14),v_ts)))) )), 1.01/1.23 introduced(choice_axiom,[])). 1.01/1.23 fof(f7785,plain,( 1.01/1.23 (~c_Hoare__Mirabelle_Otriple__valid(t_a,sK13,sK14) & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK14),v_ts))) & ! [X2] : (c_Hoare__Mirabelle_Otriple__valid(t_a,sK13,X2) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)))), 1.01/1.23 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f7782,f7784,f7783])). 1.01/1.23 fof(f7799,plain,( 1.01/1.23 ! [X0,X1,X2] : ((hBOOL(hAPP(X0,X1)) | ~hBOOL(hAPP(hAPP(c_member(X2),X1),X0))) & (hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) | ~hBOOL(hAPP(X0,X1))))), 1.01/1.23 inference(nnf_transformation,[],[f5258])). 1.01/1.23 fof(f8540,plain,( 1.01/1.23 ( ! [X2] : (~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) | c_Hoare__Mirabelle_Otriple__valid(t_a,sK13,X2)) )), 1.01/1.23 inference(cnf_transformation,[],[f7785])). 1.01/1.23 fof(f8541,plain,( 1.01/1.23 hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK14),v_ts))), 1.01/1.23 inference(cnf_transformation,[],[f7785])). 1.01/1.23 fof(f8542,plain,( 1.01/1.23 ~c_Hoare__Mirabelle_Otriple__valid(t_a,sK13,sK14)), 1.01/1.23 inference(cnf_transformation,[],[f7785])). 1.01/1.23 fof(f8543,plain,( 1.01/1.23 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G))), 1.01/1.23 inference(cnf_transformation,[],[f261])). 1.01/1.23 fof(f8557,plain,( 1.01/1.23 ( ! [X2,X0,X3,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)) | ~hBOOL(hAPP(X2,X0)) | hBOOL(hAPP(X1,X0))) )), 1.01/1.23 inference(cnf_transformation,[],[f6829])). 1.01/1.23 fof(f8586,plain,( 1.01/1.23 ( ! [X2,X0,X1] : (hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) | ~hBOOL(hAPP(X0,X1))) )), 1.01/1.23 inference(cnf_transformation,[],[f7799])). 1.01/1.23 fof(f8587,plain,( 1.01/1.23 ( ! [X2,X0,X1] : (~hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) | hBOOL(hAPP(X0,X1))) )), 1.01/1.23 inference(cnf_transformation,[],[f7799])). 1.01/1.23 fof(f10898,plain,( 1.01/1.23 hBOOL(hAPP(v_ts,sK14))), 1.01/1.23 inference(resolution,[],[f8541,f8587])). 1.01/1.23 fof(f10971,plain,( 1.01/1.23 ( ! [X8] : (~hBOOL(hAPP(v_ts,X8)) | hBOOL(hAPP(v_G,X8))) )), 1.01/1.23 inference(resolution,[],[f8543,f8557])). 1.01/1.23 fof(f11045,plain,( 1.01/1.23 ( ! [X0] : (~hBOOL(hAPP(v_G,X0)) | c_Hoare__Mirabelle_Otriple__valid(t_a,sK13,X0)) )), 1.01/1.23 inference(resolution,[],[f8540,f8586])). 1.01/1.23 fof(f11167,plain,( 1.01/1.23 hBOOL(hAPP(v_G,sK14))), 1.01/1.23 inference(resolution,[],[f10971,f10898])). 1.01/1.23 fof(f11221,plain,( 1.01/1.23 c_Hoare__Mirabelle_Otriple__valid(t_a,sK13,sK14)), 1.01/1.23 inference(resolution,[],[f11167,f11045])). 1.01/1.23 fof(f11231,plain,( 1.01/1.23 $false), 1.01/1.23 inference(subsumption_resolution,[],[f11221,f8542])). 1.01/1.23 % SZS output end Proof for theBenchmark 1.01/1.23 % ------------------------------ 1.01/1.23 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.01/1.23 % Termination reason: Refutation 1.01/1.23 1.01/1.23 % Memory used [KB]: 12920 1.01/1.23 % Time elapsed: 0.125 s 1.01/1.23 % ------------------------------ 1.01/1.23 % ------------------------------ 1.01/1.23 % Success in time 0.986 s 1.01/1.24 EOF