0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : vampire --mode casc -t %d %s 0.03/0.24 % Computer : n132.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 05:48:55 CDT 2018 0.03/0.24 % CPUTime : 0.35/0.61 % dis+11_8:1_afp=100000:afq=1.2:amm=off:anc=none:cond=on:gs=on:gsem=off:lcm=reverse:lma=on:nm=64:nwc=1:sd=1:ss=axioms:sp=occurrence:urr=on_11 on theBenchmark 0.39/0.65 % Refutation found. Thanks to Tanya! 0.39/0.65 % SZS status Theorem for theBenchmark 0.39/0.65 % SZS output start Proof for theBenchmark 0.39/0.65 fof(f10,axiom,( 0.39/0.65 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))), 0.39/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 0.39/0.65 fof(f185,conjecture,( 0.39/0.65 ! [X87,X88] : ((hBOOL(hAPP(hAPP(v_P,X87),X88)) | hBOOL(hAPP(hAPP(v_P_H,X87),X88))) => ? [X89,X90] : (! [X91] : (! [X92] : (hBOOL(hAPP(hAPP(X89,X92),X88)) => hBOOL(hAPP(hAPP(X90,X92),X91))) => (hBOOL(hAPP(hAPP(v_Q,X87),X91)) | hBOOL(hAPP(hAPP(v_Q_H,X87),X91)))) & c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X89),v_c),X90)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))))), 0.39/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2)). 0.39/0.65 fof(f186,negated_conjecture,( 0.39/0.65 ~! [X87,X88] : ((hBOOL(hAPP(hAPP(v_P,X87),X88)) | hBOOL(hAPP(hAPP(v_P_H,X87),X88))) => ? [X89,X90] : (! [X91] : (! [X92] : (hBOOL(hAPP(hAPP(X89,X92),X88)) => hBOOL(hAPP(hAPP(X90,X92),X91))) => (hBOOL(hAPP(hAPP(v_Q,X87),X91)) | hBOOL(hAPP(hAPP(v_Q_H,X87),X91)))) & c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X89),v_c),X90)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))))), 0.39/0.65 inference(negated_conjecture,[],[f185])). 0.39/0.65 fof(f4409,axiom,( 0.39/0.65 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))), 0.39/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)). 0.39/0.65 fof(f5232,plain,( 0.39/0.65 ~! [X0,X1] : ((hBOOL(hAPP(hAPP(v_P,X0),X1)) | hBOOL(hAPP(hAPP(v_P_H,X0),X1))) => ? [X2,X3] : (! [X4] : (! [X5] : (hBOOL(hAPP(hAPP(X2,X5),X1)) => hBOOL(hAPP(hAPP(X3,X5),X4))) => (hBOOL(hAPP(hAPP(v_Q,X0),X4)) | hBOOL(hAPP(hAPP(v_Q_H,X0),X4)))) & c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))))), 0.39/0.65 inference(rectify,[],[f186])). 0.39/0.65 fof(f5298,plain,( 0.39/0.65 ? [X0,X1] : (! [X2,X3] : (? [X4] : ((~hBOOL(hAPP(hAPP(v_Q,X0),X4)) & ~hBOOL(hAPP(hAPP(v_Q_H,X0),X4))) & ! [X5] : (hBOOL(hAPP(hAPP(X3,X5),X4)) | ~hBOOL(hAPP(hAPP(X2,X5),X1)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) & (hBOOL(hAPP(hAPP(v_P,X0),X1)) | hBOOL(hAPP(hAPP(v_P_H,X0),X1))))), 0.39/0.65 inference(ennf_transformation,[],[f5232])). 0.39/0.65 fof(f5299,plain,( 0.39/0.65 ? [X0,X1] : (! [X2,X3] : (? [X4] : (~hBOOL(hAPP(hAPP(v_Q,X0),X4)) & ~hBOOL(hAPP(hAPP(v_Q_H,X0),X4)) & ! [X5] : (hBOOL(hAPP(hAPP(X3,X5),X4)) | ~hBOOL(hAPP(hAPP(X2,X5),X1)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) & (hBOOL(hAPP(hAPP(v_P,X0),X1)) | hBOOL(hAPP(hAPP(v_P_H,X0),X1))))), 0.39/0.65 inference(flattening,[],[f5298])). 0.39/0.65 fof(f5350,plain,( 0.39/0.65 ? [X0,X1] : (! [X2,X3] : (? [X4] : (~hBOOL(hAPP(hAPP(v_Q,X0),X4)) & ~hBOOL(hAPP(hAPP(v_Q_H,X0),X4)) & ! [X5] : (hBOOL(hAPP(hAPP(X3,X5),X4)) | ~hBOOL(hAPP(hAPP(X2,X5),X1)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) & (hBOOL(hAPP(hAPP(v_P,X0),X1)) | hBOOL(hAPP(hAPP(v_P_H,X0),X1)))) => (! [X3,X2] : (? [X4] : (~hBOOL(hAPP(hAPP(v_Q,sK0),X4)) & ~hBOOL(hAPP(hAPP(v_Q_H,sK0),X4)) & ! [X5] : (hBOOL(hAPP(hAPP(X3,X5),X4)) | ~hBOOL(hAPP(hAPP(X2,X5),sK1)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) & (hBOOL(hAPP(hAPP(v_P,sK0),sK1)) | hBOOL(hAPP(hAPP(v_P_H,sK0),sK1))))), 0.39/0.65 introduced(choice_axiom,[])). 0.39/0.65 fof(f5351,plain,( 0.39/0.65 ( ! [X0,X1] : (! [X3,X2] : (? [X4] : (~hBOOL(hAPP(hAPP(v_Q,X0),X4)) & ~hBOOL(hAPP(hAPP(v_Q_H,X0),X4)) & ! [X5] : (hBOOL(hAPP(hAPP(X3,X5),X4)) | ~hBOOL(hAPP(hAPP(X2,X5),X1)))) => (~hBOOL(hAPP(hAPP(v_Q,X0),sK2(X2,X3))) & ~hBOOL(hAPP(hAPP(v_Q_H,X0),sK2(X2,X3))) & ! [X5] : (hBOOL(hAPP(hAPP(X3,X5),sK2(X2,X3))) | ~hBOOL(hAPP(hAPP(X2,X5),X1)))))) )), 0.39/0.65 introduced(choice_axiom,[])). 0.39/0.65 fof(f5352,plain,( 0.39/0.65 ! [X2,X3] : ((~hBOOL(hAPP(hAPP(v_Q,sK0),sK2(X2,X3))) & ~hBOOL(hAPP(hAPP(v_Q_H,sK0),sK2(X2,X3))) & ! [X5] : (hBOOL(hAPP(hAPP(X3,X5),sK2(X2,X3))) | ~hBOOL(hAPP(hAPP(X2,X5),sK1)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) & (hBOOL(hAPP(hAPP(v_P,sK0),sK1)) | hBOOL(hAPP(hAPP(v_P_H,sK0),sK1)))), 0.39/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f5299,f5351,f5350])). 0.39/0.65 fof(f5399,plain,( 0.39/0.65 hBOOL(hAPP(hAPP(v_P,sK0),sK1)) | hBOOL(hAPP(hAPP(v_P_H,sK0),sK1))), 0.39/0.65 inference(cnf_transformation,[],[f5352])). 0.39/0.65 fof(f5400,plain,( 0.39/0.65 ( ! [X2,X5,X3] : (~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(X2,X5),sK1)) | hBOOL(hAPP(hAPP(X3,X5),sK2(X2,X3)))) )), 0.39/0.65 inference(cnf_transformation,[],[f5352])). 0.39/0.65 fof(f5401,plain,( 0.39/0.65 ( ! [X2,X3] : (~hBOOL(hAPP(hAPP(v_Q_H,sK0),sK2(X2,X3))) | ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) )), 0.39/0.65 inference(cnf_transformation,[],[f5352])). 0.39/0.65 fof(f5402,plain,( 0.39/0.65 ( ! [X2,X3] : (~hBOOL(hAPP(hAPP(v_Q,sK0),sK2(X2,X3))) | ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) )), 0.39/0.65 inference(cnf_transformation,[],[f5352])). 0.39/0.65 fof(f5403,plain,( 0.39/0.65 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))), 0.39/0.65 inference(cnf_transformation,[],[f10])). 0.39/0.65 fof(f5404,plain,( 0.39/0.65 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))), 0.39/0.65 inference(cnf_transformation,[],[f4409])). 0.39/0.65 fof(f5844,plain,( 0.39/0.65 ~hBOOL(hAPP(hAPP(v_Q_H,sK0),sK2(v_P_H,v_Q_H)))), 0.39/0.65 inference(unit_resulting_resolution,[],[f5404,f5401])). 0.39/0.65 fof(f5845,plain,( 0.39/0.65 ~hBOOL(hAPP(hAPP(v_Q,sK0),sK2(v_P,v_Q)))), 0.39/0.65 inference(unit_resulting_resolution,[],[f5403,f5402])). 0.39/0.65 fof(f5942,plain,( 0.39/0.65 ~hBOOL(hAPP(hAPP(v_P_H,sK0),sK1))), 0.39/0.65 inference(unit_resulting_resolution,[],[f5844,f5404,f5400])). 0.39/0.65 fof(f5989,plain,( 0.39/0.65 ~hBOOL(hAPP(hAPP(v_P,sK0),sK1))), 0.39/0.65 inference(unit_resulting_resolution,[],[f5403,f5845,f5400])). 0.39/0.65 fof(f5997,plain,( 0.39/0.65 $false), 0.39/0.65 inference(global_subsumption,[],[f5399,f5942,f5989])). 0.39/0.65 % SZS output end Proof for theBenchmark 0.39/0.65 % ------------------------------ 0.39/0.65 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.39/0.65 % Termination reason: Refutation 0.39/0.65 0.39/0.65 % Memory used [KB]: 15223 0.39/0.65 % Time elapsed: 0.040 s 0.39/0.65 % ------------------------------ 0.39/0.65 % ------------------------------ 0.39/0.65 % Success in time 0.408 s 0.39/0.65 EOF