0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : vampire --mode casc -t %d %s 0.11/0.32 % Computer : n028.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % DateTime : Thu Jul 2 09:08:36 EDT 2020 0.11/0.33 % CPUTime : 0.64/0.85 % dis+10_16_awrs=decay:awrsf=256:afr=on:afp=40000:afq=2.0:amm=off:bsr=on:cond=on:er=known:gsp=input_only:irw=on:lma=on:nm=6:newcnf=on:nwc=3:sas=z3:sd=4:ss=axioms:s2a=on:sp=frequency:updr=off_8 on theBenchmark 1.89/2.05 % Time limit reached! 1.89/2.05 % ------------------------------ 1.89/2.05 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.89/2.05 % Termination reason: Time limit 1.89/2.05 % Termination phase: Saturation 1.89/2.05 1.89/2.05 % Memory used [KB]: 17142 1.89/2.05 % Time elapsed: 1.200 s 1.89/2.05 % ------------------------------ 1.89/2.05 % ------------------------------ 1.89/2.12 % dis+11_3_av=off:fsr=off:lcm=predicate:lma=on:nm=4:nwc=1:sd=3:ss=axioms:st=1.2:sos=on:updr=off_4 on theBenchmark 1.98/2.21 % Refutation found. Thanks to Tanya! 1.98/2.21 % SZS status Theorem for theBenchmark 1.98/2.21 % SZS output start Proof for theBenchmark 1.98/2.21 fof(f7202,plain,( 1.98/2.21 $false), 1.98/2.21 inference(resolution,[],[f7183,f6246])). 1.98/2.21 fof(f6246,plain,( 1.98/2.21 ( ! [X0,X1] : (c_Hoare__Mirabelle_Ohoare__derivs(X1,X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))) )), 1.98/2.21 inference(cnf_transformation,[],[f5297])). 1.98/2.21 fof(f5297,plain,( 1.98/2.21 ! [X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(X1,X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))), 1.98/2.21 inference(rectify,[],[f4998])). 1.98/2.21 fof(f4998,axiom,( 1.98/2.21 ! [X13,X5] : c_Hoare__Mirabelle_Ohoare__derivs(X5,X13,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))), 1.98/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_hoare__derivs_Oequations_I1_J)). 1.98/2.21 fof(f7183,plain,( 1.98/2.21 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))), 1.98/2.21 inference(resolution,[],[f7155,f6904])). 1.98/2.21 fof(f6904,plain,( 1.98/2.21 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))), 1.98/2.21 inference(resolution,[],[f6893,f6116])). 1.98/2.21 fof(f6116,plain,( 1.98/2.21 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts) | ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))), 1.98/2.21 inference(cnf_transformation,[],[f5611])). 1.98/2.21 fof(f5611,plain,( 1.98/2.21 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts)), 1.98/2.21 inference(ennf_transformation,[],[f2054])). 1.98/2.21 fof(f2054,negated_conjecture,( 1.98/2.21 ~(c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) & c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts))), 1.98/2.21 inference(negated_conjecture,[],[f2053])). 1.98/2.21 fof(f2053,conjecture,( 1.98/2.21 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) & c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts)), 1.98/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)). 1.98/2.21 fof(f6893,plain,( 1.98/2.21 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts)), 1.98/2.21 inference(resolution,[],[f6870,f6284])). 1.98/2.21 fof(f6284,plain,( 1.98/2.21 ( ! [X0,X1] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X0),X0))) )), 1.98/2.21 inference(cnf_transformation,[],[f5325])). 1.98/2.21 fof(f5325,plain,( 1.98/2.21 ! [X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X0),X0))), 1.98/2.21 inference(rectify,[],[f1056])). 1.98/2.21 fof(f1056,axiom,( 1.98/2.21 ! [X23,X5] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X23),X23))), 1.98/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_subset__refl)). 1.98/2.21 fof(f6870,plain,( 1.98/2.21 ( ! [X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),X1),v_ts)) | c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X1)) )), 1.98/2.21 inference(resolution,[],[f6857,f6284])). 1.98/2.21 fof(f6857,plain,( 1.98/2.21 ( ! [X2,X3] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),X2),v_ts)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),X3),X2)) | c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X3)) )), 1.98/2.21 inference(resolution,[],[f6813,f6235])). 1.98/2.21 fof(f6235,plain,( 1.98/2.21 ( ! [X2,X0,X1] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),hAPP(hAPP(c_Set_Oinsert(X2),X0),X1)))) )), 1.98/2.21 inference(cnf_transformation,[],[f5288])). 1.98/2.21 fof(f5288,plain,( 1.98/2.21 ! [X0,X1,X2] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),hAPP(hAPP(c_Set_Oinsert(X2),X0),X1)))), 1.98/2.21 inference(rectify,[],[f193])). 1.98/2.21 fof(f193,axiom,( 1.98/2.21 ! [X13,X22,X5] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X22),hAPP(hAPP(c_Set_Oinsert(X5),X13),X22)))), 1.98/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_subset__insertI)). 1.98/2.21 fof(f6813,plain,( 1.98/2.21 ( ! [X14,X15,X13] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),X14),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),X13),X14)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),X15),X13)) | c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X15)) )), 1.98/2.21 inference(resolution,[],[f6794,f6244])). 1.98/2.21 fof(f6244,plain,( 1.98/2.21 ( ! [X2,X0,X3,X1] : (~c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1)) | c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)) )), 1.98/2.21 inference(cnf_transformation,[],[f5657])). 1.98/2.21 fof(f5657,plain,( 1.98/2.21 ! [X0,X1,X2,X3] : (c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1)) | ~c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1))), 1.98/2.21 inference(flattening,[],[f5656])). 1.98/2.21 fof(f5656,plain,( 1.98/2.21 ! [X0,X1,X2,X3] : ((c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))) | ~c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1))), 1.98/2.21 inference(ennf_transformation,[],[f5295])). 1.98/2.21 fof(f5295,plain,( 1.98/2.21 ! [X0,X1,X2,X3] : (c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) => (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1)) => c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)))), 1.98/2.21 inference(rectify,[],[f4871])). 1.98/2.21 fof(f4871,axiom,( 1.98/2.21 ! [X181,X298,X149,X5] : (c_Hoare__Mirabelle_Ohoare__derivs(X5,X149,X298) => (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)),X181),X298)) => c_Hoare__Mirabelle_Ohoare__derivs(X5,X149,X181)))), 1.98/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_weaken)). 1.98/2.21 fof(f6794,plain,( 1.98/2.21 ( ! [X4,X5] : (c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X5) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),X5),X4)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),X4),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)))) )), 1.98/2.21 inference(resolution,[],[f6788,f6244])). 1.98/2.21 fof(f6788,plain,( 1.98/2.21 ( ! [X1] : (c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X1) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)))) )), 1.98/2.21 inference(resolution,[],[f6117,f6244])). 1.98/2.21 fof(f6117,plain,( 1.98/2.21 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))), 1.98/2.21 inference(cnf_transformation,[],[f4954])). 1.98/2.21 fof(f4954,axiom,( 1.98/2.21 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))), 1.98/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 1.98/2.21 fof(f7155,plain,( 1.98/2.21 ( ! [X0] : (c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),X0)) | ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X0)) )), 1.98/2.21 inference(resolution,[],[f6978,f6284])). 1.98/2.21 fof(f6978,plain,( 1.98/2.21 ( ! [X6,X8,X7] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),X6),X7)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))) | ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X8) | c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),X6),X8))) )), 1.98/2.21 inference(forward_demodulation,[],[f6977,f6571])). 1.98/2.21 fof(f6571,plain,( 1.98/2.21 ( ! [X0,X1] : (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X0) = X0) )), 1.98/2.21 inference(cnf_transformation,[],[f5512])). 1.98/2.21 fof(f5512,plain,( 1.98/2.21 ! [X0,X1] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X0) = X0), 1.98/2.21 inference(rectify,[],[f144])). 1.98/2.21 fof(f144,axiom,( 1.98/2.21 ! [X22,X5] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),X22) = X22), 1.98/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Un__empty__left)). 1.98/2.21 fof(f6977,plain,( 1.98/2.21 ( ! [X6,X8,X7] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),X6),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),X7))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))) | ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X8) | c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),X6),X8))) )), 1.98/2.21 inference(forward_demodulation,[],[f6968,f6211])). 1.98/2.21 fof(f6211,plain,( 1.98/2.21 ( ! [X2,X0,X3,X1] : (hAPP(hAPP(c_Set_Oinsert(X3),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),X1),X0)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0)) )), 1.98/2.21 inference(cnf_transformation,[],[f5272])). 1.98/2.21 fof(f5272,plain,( 1.98/2.21 ! [X0,X1,X2,X3] : hAPP(hAPP(c_Set_Oinsert(X3),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),X1),X0)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0)), 1.98/2.21 inference(rectify,[],[f137])). 1.98/2.21 fof(f137,axiom,( 1.98/2.21 ! [X59,X22,X13,X5] : hAPP(hAPP(c_Set_Oinsert(X5),X13),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool)),X22),X59)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X5),X13),X22)),X59)), 1.98/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Un__insert__left)). 1.98/2.21 fof(f6968,plain,( 1.98/2.21 ( ! [X6,X8,X7] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),X6),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),X7)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))) | ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X8) | c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),X6),X8))) )), 1.98/2.21 inference(resolution,[],[f6811,f6570])). 1.98/2.21 fof(f6570,plain,( 1.98/2.21 ( ! [X2,X0,X1] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X1),X0)))) )), 1.98/2.21 inference(cnf_transformation,[],[f5511])). 1.98/2.21 fof(f5511,plain,( 1.98/2.21 ! [X0,X1,X2] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X1),X0)))), 1.98/2.21 inference(rectify,[],[f4421])). 1.98/2.21 fof(f4421,axiom,( 1.98/2.21 ! [X22,X23,X5] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X23),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool)),X23),X22)))), 1.98/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Un__upper1)). 1.98/2.21 fof(f6811,plain,( 1.98/2.21 ( ! [X8,X7,X9] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),X7),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),X8)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),X8),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))) | ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X9) | c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),X7),X9))) )), 1.98/2.21 inference(resolution,[],[f6794,f6242])). 1.98/2.21 fof(f6242,plain,( 1.98/2.21 ( ! [X2,X0,X3,X1] : (~c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0) | c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),X0))) )), 1.98/2.21 inference(cnf_transformation,[],[f5653])). 1.98/2.21 fof(f5653,plain,( 1.98/2.21 ! [X0,X1,X2,X3] : (c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),X0)) | ~c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0) | ~c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))))), 1.98/2.21 inference(flattening,[],[f5652])). 1.98/2.21 fof(f5652,plain,( 1.98/2.21 ! [X0,X1,X2,X3] : ((c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),X0)) | ~c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)) | ~c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))))), 1.98/2.21 inference(ennf_transformation,[],[f5293])). 1.98/2.21 fof(f5293,plain,( 1.98/2.21 ! [X0,X1,X2,X3] : (c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))) => (c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0) => c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),X0))))), 1.98/2.21 inference(rectify,[],[f4157])). 1.98/2.21 fof(f4157,axiom,( 1.98/2.21 ! [X181,X45,X149,X5] : (c_Hoare__Mirabelle_Ohoare__derivs(X5,X149,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),X45),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) => (c_Hoare__Mirabelle_Ohoare__derivs(X5,X149,X181) => c_Hoare__Mirabelle_Ohoare__derivs(X5,X149,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),X45),X181))))), 1.98/2.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_hoare__derivs_Oinsert)). 1.98/2.21 % SZS output end Proof for theBenchmark 1.98/2.21 % ------------------------------ 1.98/2.21 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.98/2.21 % Termination reason: Refutation 1.98/2.21 1.98/2.21 % Memory used [KB]: 6780 1.98/2.21 % Time elapsed: 0.096 s 1.98/2.21 % ------------------------------ 1.98/2.21 % ------------------------------ 1.98/2.21 % Success in time 1.881 s 1.98/2.22 EOF