%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN373+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n023.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 12:43:05 EDT 2022 % Result : Theorem 0.20s 0.39s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN373+1 : TPTP v8.1.0. Released v2.0.0. % 0.12/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n023.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jul 12 06:20:09 EDT 2022 % 0.12/0.33 % CPUTime : % 0.20/0.39 % SZS status Theorem % 0.20/0.39 (* PROOF-FOUND *) % 0.20/0.39 (* BEGIN-PROOF *) % 0.20/0.39 % SZS output start Proof % 0.20/0.39 1. (-. (big_p T_0)) (big_p T_0) ### Axiom % 0.20/0.39 2. (-. ((big_p T_0) => (big_q T_0))) (-. (big_p T_0)) ### NotImply 1 % 0.20/0.39 3. (-. (Ex X, ((big_p X) => (big_q X)))) (-. (big_p T_0)) ### NotExists 2 % 0.20/0.39 4. (-. (All X, (big_p X))) (-. (Ex X, ((big_p X) => (big_q X)))) ### NotAllEx 3 % 0.20/0.39 5. (big_q T_1) (-. (big_q T_1)) ### Axiom % 0.20/0.39 6. (-. ((big_p T_1) => (big_q T_1))) (big_q T_1) ### NotImply 5 % 0.20/0.39 7. (-. (Ex X, ((big_p X) => (big_q X)))) (big_q T_1) ### NotExists 6 % 0.20/0.39 8. (Ex X, (big_q X)) (-. (Ex X, ((big_p X) => (big_q X)))) ### Exists 7 % 0.20/0.39 9. ((All X, (big_p X)) => (Ex X, (big_q X))) (-. (Ex X, ((big_p X) => (big_q X)))) ### Imply 4 8 % 0.20/0.39 10. (-. (big_p T_2)) (big_p T_2) ### Axiom % 0.20/0.39 11. (All X, (big_p X)) (-. (big_p T_2)) ### All 10 % 0.20/0.39 12. (big_q T_2) (-. (big_q T_2)) ### Axiom % 0.20/0.39 13. (-. (Ex X, (big_q X))) (big_q T_2) ### NotExists 12 % 0.20/0.39 14. ((big_p T_2) => (big_q T_2)) (-. (Ex X, (big_q X))) (All X, (big_p X)) ### Imply 11 13 % 0.20/0.39 15. (-. ((All X, (big_p X)) => (Ex X, (big_q X)))) ((big_p T_2) => (big_q T_2)) ### NotImply 14 % 0.20/0.39 16. (Ex X, ((big_p X) => (big_q X))) (-. ((All X, (big_p X)) => (Ex X, (big_q X)))) ### Exists 15 % 0.20/0.39 17. (-. ((Ex X, ((big_p X) => (big_q X))) <=> ((All X, (big_p X)) => (Ex X, (big_q X))))) ### NotEquiv 9 16 % 0.20/0.39 % SZS output end Proof % 0.20/0.39 (* END-PROOF *) %------------------------------------------------------------------------------