%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SCT171+6 : TPTP v9.0.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n004.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 : 300s % DateTime : Mon Apr 14 09:13:22 AM UTC 2025 % Result : Theorem 0.40s 0.63s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SCT171+6 : TPTP v9.0.0. Released v5.3.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n004.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Mon Apr 14 01:35:51 EDT 2025 % 0.13/0.34 % CPUTime : % 0.40/0.63 (* PROOF-FOUND *) % 0.40/0.63 % SZS status Theorem % 0.40/0.63 (* BEGIN-PROOF *) % 0.40/0.63 % SZS output start Proof % 0.40/0.63 Theorem conj_0 : (hBOOL (hAPP (fun (product_prod (arrow_490897120le_alt) (arrow_490897120le_alt)) (bool)) (bool) (hAPP (product_prod (arrow_490897120le_alt) (arrow_490897120le_alt)) (fun (fun (product_prod (arrow_490897120le_alt) (arrow_490897120le_alt)) (bool)) (bool)) (member (product_prod (arrow_490897120le_alt) (arrow_490897120le_alt))) (hAPP (arrow_490897120le_alt) (product_prod (arrow_490897120le_alt) (arrow_490897120le_alt)) (hAPP (arrow_490897120le_alt) (fun (arrow_490897120le_alt) (product_prod (arrow_490897120le_alt) (arrow_490897120le_alt))) (product_Pair (arrow_490897120le_alt) (arrow_490897120le_alt)) (c)) (d))) (hAPP (fun (arrow_660593299e_indi) (fun (product_prod (arrow_490897120le_alt) (arrow_490897120le_alt)) (bool))) (fun (product_prod (arrow_490897120le_alt) (arrow_490897120le_alt)) (bool)) (f) (p)))). % 0.40/0.63 Proof. % 0.40/0.63 apply NNPP. intro zenon_G. % 0.40/0.63 apply (zenon_equiv_s _ _ fact_14_PW); [ zenon_intro zenon_G; zenon_intro zenon_H24f | zenon_intro zenon_H24e; zenon_intro fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto ]. % 0.40/0.63 exact (zenon_H24f fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto). % 0.40/0.63 exact (zenon_G zenon_H24e). % 0.40/0.63 Qed. % 0.40/0.63 % SZS output end Proof % 0.40/0.63 (* END-PROOF *) % 0.40/0.63 nodes searched: 22 % 0.40/0.63 max branch formulas: 616 % 0.40/0.63 proof nodes created: 3 % 0.40/0.63 formulas created: 14268 % 0.40/0.63 %------------------------------------------------------------------------------