%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN346+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n012.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 : Thu Jul 21 13:51:21 EDT 2022 % Result : Theorem 0.20s 0.52s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN346+1 : TPTP v8.1.0. Released v2.0.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n012.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 : Tue Jul 12 01:23:12 EDT 2022 % 0.13/0.35 % CPUTime : % 0.20/0.52 Zenon warning: unused variable (X1 : zenon_U) in zenon_G % 0.20/0.52 (* PROOF-FOUND *) % 0.20/0.52 % SZS status Theorem % 0.20/0.52 (* BEGIN-PROOF *) % 0.20/0.52 % SZS output start Proof % 0.20/0.52 Theorem church_46_17_2 : (forall X1 : zenon_U, (forall X2 : zenon_U, (exists Y1 : zenon_U, (exists Y2 : zenon_U, (forall Z1 : zenon_U, (forall Z2 : zenon_U, ((big_f X2 Z1)->((big_f Y1 Z2)->(((big_f Y1 Z1)/\(big_f Y2 Z1))\/((big_f X2 Z2)/\(big_f Y2 Z2))))))))))). % 0.20/0.52 Proof. % 0.20/0.52 apply NNPP. intro zenon_G. % 0.20/0.52 apply (zenon_notallex_s (fun X1 : zenon_U => (forall X2 : zenon_U, (exists Y1 : zenon_U, (exists Y2 : zenon_U, (forall Z1 : zenon_U, (forall Z2 : zenon_U, ((big_f X2 Z1)->((big_f Y1 Z2)->(((big_f Y1 Z1)/\(big_f Y2 Z1))\/((big_f X2 Z2)/\(big_f Y2 Z2))))))))))) zenon_G); [ zenon_intro zenon_H1; idtac ]. % 0.20/0.52 elim zenon_H1. zenon_intro zenon_TX1_c. zenon_intro zenon_H3. % 0.20/0.52 apply (zenon_notallex_s (fun X2 : zenon_U => (exists Y1 : zenon_U, (exists Y2 : zenon_U, (forall Z1 : zenon_U, (forall Z2 : zenon_U, ((big_f X2 Z1)->((big_f Y1 Z2)->(((big_f Y1 Z1)/\(big_f Y2 Z1))\/((big_f X2 Z2)/\(big_f Y2 Z2)))))))))) zenon_H3); [ zenon_intro zenon_H4; idtac ]. % 0.20/0.52 elim zenon_H4. zenon_intro zenon_TX2_f. zenon_intro zenon_H6. % 0.20/0.52 apply zenon_H6. exists zenon_TX2_f. apply NNPP. zenon_intro zenon_H7. % 0.20/0.52 apply zenon_H7. exists zenon_TX2_f. apply NNPP. zenon_intro zenon_H8. % 0.20/0.52 apply (zenon_notallex_s (fun Z1 : zenon_U => (forall Z2 : zenon_U, ((big_f zenon_TX2_f Z1)->((big_f zenon_TX2_f Z2)->(((big_f zenon_TX2_f Z1)/\(big_f zenon_TX2_f Z1))\/((big_f zenon_TX2_f Z2)/\(big_f zenon_TX2_f Z2))))))) zenon_H8); [ zenon_intro zenon_H9; idtac ]. % 0.20/0.52 elim zenon_H9. zenon_intro zenon_TZ1_k. zenon_intro zenon_Hb. % 0.20/0.52 apply (zenon_notallex_s (fun Z2 : zenon_U => ((big_f zenon_TX2_f zenon_TZ1_k)->((big_f zenon_TX2_f Z2)->(((big_f zenon_TX2_f zenon_TZ1_k)/\(big_f zenon_TX2_f zenon_TZ1_k))\/((big_f zenon_TX2_f Z2)/\(big_f zenon_TX2_f Z2)))))) zenon_Hb); [ zenon_intro zenon_Hc; idtac ]. % 0.20/0.52 elim zenon_Hc. zenon_intro zenon_TZ2_n. zenon_intro zenon_He. % 0.20/0.52 apply (zenon_notimply_s _ _ zenon_He). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 0.20/0.52 apply (zenon_notimply_s _ _ zenon_Hf). zenon_intro zenon_H12. zenon_intro zenon_H11. % 0.20/0.52 apply (zenon_notor_s _ _ zenon_H11). zenon_intro zenon_H14. zenon_intro zenon_H13. % 0.20/0.52 apply (zenon_notand_s _ _ zenon_H14); [ zenon_intro zenon_H15 | zenon_intro zenon_H15 ]. % 0.20/0.52 exact (zenon_H15 zenon_H10). % 0.20/0.52 exact (zenon_H15 zenon_H10). % 0.20/0.52 Qed. % 0.20/0.52 % SZS output end Proof % 0.20/0.52 (* END-PROOF *) % 0.20/0.52 nodes searched: 50 % 0.20/0.52 max branch formulas: 54 % 0.20/0.52 proof nodes created: 15 % 0.20/0.52 formulas created: 457 % 0.20/0.52 %------------------------------------------------------------------------------