%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SCT171+1 : TPTP v8.1.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Mon Jul 18 22:16:32 EDT 2022 % Result : Theorem 0.20s 0.44s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SCT171+1 : TPTP v8.1.0. Released v5.3.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.35 % Computer : n007.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Fri Jul 1 21:24:54 EDT 2022 % 0.13/0.35 % CPUTime : % 0.20/0.44 % SZS status Theorem % 0.20/0.44 (* PROOF-FOUND *) % 0.20/0.44 (* BEGIN-PROOF *) % 0.20/0.44 % SZS output start Proof % 0.20/0.44 1. (hBOOL (hAPP_P2075002375t_bool (hAPP_f695124765t_bool (f) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (ord_less_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_78446834_mktop) (p)) (e))) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (fequal_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBC_493523632t_bool (cOMBB_69933763e_indi (arrow_812378712_above) (p)) (c)) (e))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_2077223396_mkbot) (p)) (e))))) (produc171383831le_alt (c) (d)))) (-. (hBOOL (hAPP_P2075002375t_bool (hAPP_f695124765t_bool (f) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (ord_less_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_78446834_mktop) (p)) (e))) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (fequal_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBC_493523632t_bool (cOMBB_69933763e_indi (arrow_812378712_above) (p)) (c)) (e))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_2077223396_mkbot) (p)) (e))))) (produc171383831le_alt (c) (d))))) ### Axiom % 0.20/0.44 2. (-. (hBOOL (hAPP_f745298353l_bool (member1056080916le_alt (produc171383831le_alt (c) (d))) (hAPP_f695124765t_bool (f) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (ord_less_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_78446834_mktop) (p)) (e))) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (fequal_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBC_493523632t_bool (cOMBB_69933763e_indi (arrow_812378712_above) (p)) (c)) (e))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_2077223396_mkbot) (p)) (e)))))))) (hBOOL (hAPP_P2075002375t_bool (hAPP_f695124765t_bool (f) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (ord_less_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_78446834_mktop) (p)) (e))) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (fequal_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBC_493523632t_bool (cOMBB_69933763e_indi (arrow_812378712_above) (p)) (c)) (e))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_2077223396_mkbot) (p)) (e))))) (produc171383831le_alt (c) (d)))) ### Extension/test/not_fact_122_mem__def 1 % 0.20/0.44 3. (-. (hBOOL (hAPP_P2075002375t_bool (hAPP_f695124765t_bool (f) (p)) (produc171383831le_alt (c) (d))))) (hBOOL (hAPP_P2075002375t_bool (hAPP_f695124765t_bool (f) (p)) (produc171383831le_alt (c) (d)))) ### Axiom % 0.20/0.44 4. (hBOOL (hAPP_f745298353l_bool (member1056080916le_alt (produc171383831le_alt (c) (d))) (hAPP_f695124765t_bool (f) (p)))) (-. (hBOOL (hAPP_P2075002375t_bool (hAPP_f695124765t_bool (f) (p)) (produc171383831le_alt (c) (d))))) ### Extension/test/fact_122_mem__def 3 % 0.20/0.44 5. ((hBOOL (hAPP_f745298353l_bool (member1056080916le_alt (produc171383831le_alt (c) (d))) (hAPP_f695124765t_bool (f) (p)))) <=> (hBOOL (hAPP_f745298353l_bool (member1056080916le_alt (produc171383831le_alt (c) (d))) (hAPP_f695124765t_bool (f) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (ord_less_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_78446834_mktop) (p)) (e))) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (fequal_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBC_493523632t_bool (cOMBB_69933763e_indi (arrow_812378712_above) (p)) (c)) (e))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_2077223396_mkbot) (p)) (e)))))))) (-. (hBOOL (hAPP_P2075002375t_bool (hAPP_f695124765t_bool (f) (p)) (produc171383831le_alt (c) (d))))) (hBOOL (hAPP_P2075002375t_bool (hAPP_f695124765t_bool (f) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (ord_less_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_78446834_mktop) (p)) (e))) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (fequal_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBC_493523632t_bool (cOMBB_69933763e_indi (arrow_812378712_above) (p)) (c)) (e))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_2077223396_mkbot) (p)) (e))))) (produc171383831le_alt (c) (d)))) ### Equiv 2 4 % 0.20/0.44 6. (-. (hBOOL (hAPP_f745298353l_bool (member1056080916le_alt (produc171383831le_alt (c) (d))) (hAPP_f695124765t_bool (f) (p))))) (hBOOL (hAPP_P2075002375t_bool (hAPP_f695124765t_bool (f) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (ord_less_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_78446834_mktop) (p)) (e))) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (fequal_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBC_493523632t_bool (cOMBB_69933763e_indi (arrow_812378712_above) (p)) (c)) (e))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_2077223396_mkbot) (p)) (e))))) (produc171383831le_alt (c) (d)))) ((hBOOL (hAPP_f745298353l_bool (member1056080916le_alt (produc171383831le_alt (c) (d))) (hAPP_f695124765t_bool (f) (p)))) <=> (hBOOL (hAPP_f745298353l_bool (member1056080916le_alt (produc171383831le_alt (c) (d))) (hAPP_f695124765t_bool (f) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (ord_less_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_78446834_mktop) (p)) (e))) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (fequal_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBC_493523632t_bool (cOMBB_69933763e_indi (arrow_812378712_above) (p)) (c)) (e))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_2077223396_mkbot) (p)) (e)))))))) ### Extension/test/not_fact_122_mem__def 5 % 0.20/0.44 7. (hBOOL (hAPP_f745298353l_bool (member1056080916le_alt (produc171383831le_alt (c) (d))) (hAPP_f695124765t_bool (f) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (ord_less_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_78446834_mktop) (p)) (e))) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (fequal_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBC_493523632t_bool (cOMBB_69933763e_indi (arrow_812378712_above) (p)) (c)) (e))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_2077223396_mkbot) (p)) (e))))))) ((hBOOL (hAPP_f745298353l_bool (member1056080916le_alt (produc171383831le_alt (c) (d))) (hAPP_f695124765t_bool (f) (p)))) <=> (hBOOL (hAPP_f745298353l_bool (member1056080916le_alt (produc171383831le_alt (c) (d))) (hAPP_f695124765t_bool (f) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (ord_less_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_78446834_mktop) (p)) (e))) (cOMBS_867867294t_bool (cOMBS_102864562t_bool (cOMBB_963584201e_indi (if_fun1419651289t_bool) (cOMBC_277798809t_bool (cOMBB_317992461e_indi (fequal_nat) (h)) (n))) (cOMBC_1778077589t_bool (cOMBC_493523632t_bool (cOMBB_69933763e_indi (arrow_812378712_above) (p)) (c)) (e))) (cOMBC_1778077589t_bool (cOMBB_1292070696e_indi (arrow_2077223396_mkbot) (p)) (e)))))))) (-. (hBOOL (hAPP_f745298353l_bool (member1056080916le_alt (produc171383831le_alt (c) (d))) (hAPP_f695124765t_bool (f) (p))))) ### Extension/test/fact_122_mem__def 6 % 0.20/0.44 % SZS output end Proof % 0.20/0.44 (* END-PROOF *) %------------------------------------------------------------------------------