%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SCT146+1 : TPTP v8.1.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n011.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 22:25:55 EDT 2022 % Result : Theorem 127.00s 127.23s % Output : Proof 127.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SCT146+1 : TPTP v8.1.0. Released v5.2.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n011.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 : Fri Jul 1 21:04:19 EDT 2022 % 0.12/0.33 % CPUTime : % 127.00/127.23 (* PROOF-FOUND *) % 127.00/127.23 % SZS status Theorem % 127.00/127.23 (* BEGIN-PROOF *) % 127.00/127.23 % SZS output start Proof % 127.00/127.23 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_a____)) (v_b____))) (hAPP (v_P____) B_i))))). % 127.00/127.23 Proof. % 127.00/127.23 apply NNPP. intro zenon_G. % 127.00/127.23 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_a____)) (v_b____))) (hAPP (v_P____) B_i))))) zenon_G); [ zenon_intro zenon_H1f3; idtac ]. % 127.00/127.23 elim zenon_H1f3. zenon_intro zenon_TB_i_tg. zenon_intro zenon_H1f5. % 127.00/127.23 apply (zenon_notequiv_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f9; zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7; zenon_intro zenon_H1f6 ]. % 127.00/127.23 generalize (fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_A_061_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_096 zenon_TB_i_tg). zenon_intro zenon_H1fa. % 127.00/127.23 apply (zenon_equiv_s _ _ zenon_H1fa); [ zenon_intro zenon_H1fc; zenon_intro zenon_H1f9 | zenon_intro zenon_H1fb; zenon_intro zenon_H1f7 ]. % 127.00/127.23 generalize (fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_096 zenon_TB_i_tg). zenon_intro zenon_H1fd. % 127.00/127.23 apply (zenon_equiv_s _ _ zenon_H1fd); [ zenon_intro zenon_H1ff; zenon_intro zenon_H1fc | zenon_intro zenon_H1fe; zenon_intro zenon_H1fb ]. % 127.00/127.23 generalize (fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_096 zenon_TB_i_tg). zenon_intro zenon_H200. % 127.00/127.23 apply (zenon_equiv_s _ _ zenon_H200); [ zenon_intro zenon_H1f6; zenon_intro zenon_H1ff | zenon_intro zenon_H1f8; zenon_intro zenon_H1fe ]. % 127.00/127.23 exact (zenon_H1f6 zenon_H1f8). % 127.00/127.23 exact (zenon_H1ff zenon_H1fe). % 127.00/127.23 exact (zenon_H1fc zenon_H1fb). % 127.00/127.23 exact (zenon_H1f9 zenon_H1f7). % 127.00/127.23 generalize (fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_096 zenon_TB_i_tg). zenon_intro zenon_H200. % 127.00/127.23 apply (zenon_equiv_s _ _ zenon_H200); [ zenon_intro zenon_H1f6; zenon_intro zenon_H1ff | zenon_intro zenon_H1f8; zenon_intro zenon_H1fe ]. % 127.00/127.23 generalize (fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_096 zenon_TB_i_tg). zenon_intro zenon_H1fd. % 127.00/127.23 apply (zenon_equiv_s _ _ zenon_H1fd); [ zenon_intro zenon_H1ff; zenon_intro zenon_H1fc | zenon_intro zenon_H1fe; zenon_intro zenon_H1fb ]. % 127.00/127.23 generalize (fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_A_061_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_096 zenon_TB_i_tg). zenon_intro zenon_H1fa. % 127.09/127.33 apply (zenon_equiv_s _ _ zenon_H1fa); [ zenon_intro zenon_H1fc; zenon_intro zenon_H1f9 | zenon_intro zenon_H1fb; zenon_intro zenon_H1f7 ]. % 127.09/127.33 exact (zenon_H1f9 zenon_H1f7). % 127.09/127.33 exact (zenon_H1fc zenon_H1fb). % 127.09/127.33 exact (zenon_H1ff zenon_H1fe). % 127.09/127.33 exact (zenon_H1f6 zenon_H1f8). % 127.09/127.33 Qed. % 127.09/127.33 % SZS output end Proof % 127.09/127.33 (* END-PROOF *) % 127.09/127.33 nodes searched: 159387 % 127.09/127.33 max branch formulas: 82698 % 127.09/127.33 proof nodes created: 266 % 127.09/127.33 formulas created: 2431079 % 127.09/127.33 %------------------------------------------------------------------------------