%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN960+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n014.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 13:56:41 EDT 2022 % Result : Theorem 0.19s 0.51s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN960+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n014.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 : 600 % 0.13/0.34 % DateTime : Tue Jul 12 01:23:04 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.51 (* PROOF-FOUND *) % 0.19/0.51 % SZS status Theorem % 0.19/0.51 (* BEGIN-PROOF *) % 0.19/0.51 % SZS output start Proof % 0.19/0.51 Theorem prove_this : ((exists X : zenon_U, (exists Y : zenon_U, (a X Y)))<->(exists Y : zenon_U, (exists X : zenon_U, (a X Y)))). % 0.19/0.51 Proof. % 0.19/0.51 apply NNPP. intro zenon_G. % 0.19/0.51 apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H4; zenon_intro zenon_H3 | zenon_intro zenon_H2; zenon_intro zenon_H1 ]. % 0.19/0.51 elim zenon_H3. zenon_intro zenon_TY_f. zenon_intro zenon_H6. % 0.19/0.51 elim zenon_H6. zenon_intro zenon_TX_h. zenon_intro zenon_H8. % 0.19/0.51 apply zenon_H4. exists zenon_TX_h. apply NNPP. zenon_intro zenon_H9. % 0.19/0.51 apply zenon_H9. exists zenon_TY_f. apply NNPP. zenon_intro zenon_Ha. % 0.19/0.51 exact (zenon_Ha zenon_H8). % 0.19/0.51 elim zenon_H2. zenon_intro zenon_TX_l. zenon_intro zenon_Hc. % 0.19/0.51 elim zenon_Hc. zenon_intro zenon_TY_n. zenon_intro zenon_He. % 0.19/0.51 apply zenon_H1. exists zenon_TY_n. apply NNPP. zenon_intro zenon_Hf. % 0.19/0.51 apply zenon_Hf. exists zenon_TX_l. apply NNPP. zenon_intro zenon_H10. % 0.19/0.51 exact (zenon_H10 zenon_He). % 0.19/0.51 Qed. % 0.19/0.51 % SZS output end Proof % 0.19/0.51 (* END-PROOF *) % 0.19/0.51 nodes searched: 25 % 0.19/0.51 max branch formulas: 14 % 0.19/0.51 proof nodes created: 13 % 0.19/0.51 formulas created: 155 % 0.19/0.51 %------------------------------------------------------------------------------