%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN080+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 13:49:29 EDT 2022 % Result : Theorem 0.21s 0.53s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN080+1 : TPTP v8.1.0. Released v2.0.0. % 0.07/0.14 % Command : run_zenon %s %d % 0.14/0.36 % Computer : n009.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Mon Jul 11 18:34:37 EDT 2022 % 0.14/0.36 % CPUTime : % 0.21/0.53 (* PROOF-FOUND *) % 0.21/0.53 % SZS status Theorem % 0.21/0.53 (* BEGIN-PROOF *) % 0.21/0.53 % SZS output start Proof % 0.21/0.53 Theorem pel58 : (forall X : zenon_U, (forall Y : zenon_U, ((f (f X)) = (f (g Y))))). % 0.21/0.53 Proof. % 0.21/0.53 apply NNPP. intro zenon_G. % 0.21/0.53 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, ((f (f X)) = (f (g Y))))) zenon_G); [ zenon_intro zenon_H2; idtac ]. % 0.21/0.53 elim zenon_H2. zenon_intro zenon_TX_d. zenon_intro zenon_H4. % 0.21/0.53 apply (zenon_notallex_s (fun Y : zenon_U => ((f (f zenon_TX_d)) = (f (g Y)))) zenon_H4); [ zenon_intro zenon_H5; idtac ]. % 0.21/0.53 elim zenon_H5. zenon_intro zenon_TY_g. zenon_intro zenon_H7. % 0.21/0.53 cut (((f zenon_TX_d) = (g zenon_TY_g))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.21/0.53 congruence. % 0.21/0.53 generalize (pel58_1 zenon_TX_d). zenon_intro zenon_H9. % 0.21/0.53 generalize (zenon_H9 zenon_TY_g). zenon_intro zenon_Ha. % 0.21/0.53 exact (zenon_H8 zenon_Ha). % 0.21/0.53 Qed. % 0.21/0.53 % SZS output end Proof % 0.21/0.53 (* END-PROOF *) % 0.21/0.53 nodes searched: 67 % 0.21/0.53 max branch formulas: 31 % 0.21/0.53 proof nodes created: 14 % 0.21/0.53 formulas created: 275 % 0.21/0.53 %------------------------------------------------------------------------------