%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SCT147+1 : TPTP v8.1.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 22:25:56 EDT 2022 % Result : Theorem 18.16s 18.34s % Output : Proof 18.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SCT147+1 : TPTP v8.1.0. Released v5.2.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n020.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sat Jul 2 06:53:00 EDT 2022 % 0.12/0.33 % CPUTime : % 18.16/18.34 (* PROOF-FOUND *) % 18.16/18.34 % SZS status Theorem % 18.16/18.34 (* BEGIN-PROOF *) % 18.16/18.34 % SZS output start Proof % 18.16/18.34 Theorem conj_0 : (forall B_i : zenon_U, ((hBOOL (hAPP (hAPP (c_member (tc_prod (tc_Arrow__Order__Mirabelle_Oalt) (tc_Arrow__Order__Mirabelle_Oalt))) (hAPP (hAPP (c_Product__Type_OPair (tc_Arrow__Order__Mirabelle_Oalt) (tc_Arrow__Order__Mirabelle_Oalt)) (v_b____)) (v_a____))) (hAPP (hAPP (hAPP (c_Arrow__Order__Mirabelle_Obelow) (hAPP (hAPP (hAPP (c_Arrow__Order__Mirabelle_Obelow) (hAPP (hAPP (hAPP (c_Arrow__Order__Mirabelle_Obelow) (hAPP (v_P____) B_i)) (v_c____)) (v_b____))) (v_b____)) (v_a____))) (v_a____)) (v_c____))))<->(hBOOL (hAPP (hAPP (c_member (tc_prod (tc_Arrow__Order__Mirabelle_Oalt) (tc_Arrow__Order__Mirabelle_Oalt))) (hAPP (hAPP (c_Product__Type_OPair (tc_Arrow__Order__Mirabelle_Oalt) (tc_Arrow__Order__Mirabelle_Oalt)) (v_b____)) (v_a____))) (hAPP (v_P_H____) B_i))))). % 18.16/18.34 Proof. % 18.16/18.34 apply NNPP. intro zenon_G. % 18.16/18.34 apply (zenon_notallex_s (fun B_i : zenon_U => ((hBOOL (hAPP (hAPP (c_member (tc_prod (tc_Arrow__Order__Mirabelle_Oalt) (tc_Arrow__Order__Mirabelle_Oalt))) (hAPP (hAPP (c_Product__Type_OPair (tc_Arrow__Order__Mirabelle_Oalt) (tc_Arrow__Order__Mirabelle_Oalt)) (v_b____)) (v_a____))) (hAPP (hAPP (hAPP (c_Arrow__Order__Mirabelle_Obelow) (hAPP (hAPP (hAPP (c_Arrow__Order__Mirabelle_Obelow) (hAPP (hAPP (hAPP (c_Arrow__Order__Mirabelle_Obelow) (hAPP (v_P____) B_i)) (v_c____)) (v_b____))) (v_b____)) (v_a____))) (v_a____)) (v_c____))))<->(hBOOL (hAPP (hAPP (c_member (tc_prod (tc_Arrow__Order__Mirabelle_Oalt) (tc_Arrow__Order__Mirabelle_Oalt))) (hAPP (hAPP (c_Product__Type_OPair (tc_Arrow__Order__Mirabelle_Oalt) (tc_Arrow__Order__Mirabelle_Oalt)) (v_b____)) (v_a____))) (hAPP (v_P_H____) B_i))))) zenon_G); [ zenon_intro zenon_H1f1; idtac ]. % 18.16/18.34 elim zenon_H1f1. zenon_intro zenon_TB_i_te. zenon_intro zenon_H1f3. % 18.16/18.34 apply (zenon_notequiv_s _ _ zenon_H1f3); [ zenon_intro zenon_H1f7; zenon_intro zenon_H1f6 | zenon_intro zenon_H1f5; zenon_intro zenon_H1f4 ]. % 18.16/18.34 generalize (fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_J_Aa_Ac_092_060_094esub_062_Aa_J_A_061_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_096 zenon_TB_i_te). zenon_intro zenon_H1f8. % 18.16/18.34 apply (zenon_equiv_s _ _ zenon_H1f8); [ zenon_intro zenon_H1f7; zenon_intro zenon_H1fa | zenon_intro zenon_H1f5; zenon_intro zenon_H1f9 ]. % 18.16/18.34 generalize (fact_iff zenon_TB_i_te). zenon_intro zenon_H1fb. % 18.16/18.34 apply (zenon_equiv_s _ _ zenon_H1fb); [ zenon_intro zenon_H1fa; zenon_intro zenon_H1f4 | zenon_intro zenon_H1f9; zenon_intro zenon_H1f6 ]. % 18.16/18.34 exact (zenon_H1f4 zenon_H1f6). % 18.16/18.34 exact (zenon_H1fa zenon_H1f9). % 18.16/18.34 exact (zenon_H1f7 zenon_H1f5). % 18.16/18.34 generalize (fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_J_Aa_Ac_092_060_094esub_062_Aa_J_A_061_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_096 zenon_TB_i_te). zenon_intro zenon_H1f8. % 18.16/18.34 apply (zenon_equiv_s _ _ zenon_H1f8); [ zenon_intro zenon_H1f7; zenon_intro zenon_H1fa | zenon_intro zenon_H1f5; zenon_intro zenon_H1f9 ]. % 18.16/18.34 exact (zenon_H1f7 zenon_H1f5). % 18.16/18.34 generalize (fact_iff zenon_TB_i_te). zenon_intro zenon_H1fb. % 18.16/18.34 apply (zenon_equiv_s _ _ zenon_H1fb); [ zenon_intro zenon_H1fa; zenon_intro zenon_H1f4 | zenon_intro zenon_H1f9; zenon_intro zenon_H1f6 ]. % 18.16/18.34 exact (zenon_H1fa zenon_H1f9). % 18.16/18.34 exact (zenon_H1f4 zenon_H1f6). % 18.16/18.34 Qed. % 18.16/18.34 % SZS output end Proof % 18.16/18.34 (* END-PROOF *) % 18.16/18.34 nodes searched: 49380 % 18.16/18.34 max branch formulas: 25624 % 18.16/18.34 proof nodes created: 51 % 18.16/18.34 formulas created: 740896 % 18.16/18.34 %------------------------------------------------------------------------------