TSTP Solution File: SCT146+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% 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 :
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%----WARNING: Could not form TPTP format derivation
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%----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
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