%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN970+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n010.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 13:56:45 EDT 2022 % Result : Theorem 0.20s 0.50s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SYN970+1 : TPTP v8.1.0. Released v3.1.0. % 0.12/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n010.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 : Mon Jul 11 12:45:45 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.50 (* PROOF-FOUND *) % 0.20/0.50 % SZS status Theorem % 0.20/0.50 (* BEGIN-PROOF *) % 0.20/0.50 % SZS output start Proof % 0.20/0.50 Theorem prove_this : (forall A : zenon_U, (forall B : zenon_U, (exists X : zenon_U, (exists Y : zenon_U, (((p X)->(r Y))->((p A)->(r B))))))). % 0.20/0.50 Proof. % 0.20/0.50 apply NNPP. intro zenon_G. % 0.20/0.50 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (exists X : zenon_U, (exists Y : zenon_U, (((p X)->(r Y))->((p A)->(r B))))))) zenon_G); [ zenon_intro zenon_H3; idtac ]. % 0.20/0.50 elim zenon_H3. zenon_intro zenon_TA_e. zenon_intro zenon_H5. % 0.20/0.50 apply (zenon_notallex_s (fun B : zenon_U => (exists X : zenon_U, (exists Y : zenon_U, (((p X)->(r Y))->((p zenon_TA_e)->(r B)))))) zenon_H5); [ zenon_intro zenon_H6; idtac ]. % 0.20/0.50 elim zenon_H6. zenon_intro zenon_TB_h. zenon_intro zenon_H8. % 0.20/0.50 apply zenon_H8. exists zenon_TA_e. apply NNPP. zenon_intro zenon_H9. % 0.20/0.50 apply zenon_H9. exists zenon_TB_h. apply NNPP. zenon_intro zenon_Ha. % 0.20/0.50 apply (zenon_notimply_s _ _ zenon_Ha). zenon_intro zenon_Hc. zenon_intro zenon_Hb. % 0.20/0.50 exact (zenon_Hb zenon_Hc). % 0.20/0.50 Qed. % 0.20/0.50 % SZS output end Proof % 0.20/0.50 (* END-PROOF *) % 0.20/0.50 nodes searched: 24 % 0.20/0.50 max branch formulas: 24 % 0.20/0.50 proof nodes created: 12 % 0.20/0.50 formulas created: 159 % 0.20/0.50 %------------------------------------------------------------------------------