%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN343+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 : n013.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 12:42:47 EDT 2022 % Result : Theorem 0.18s 0.40s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.11 % Problem : SYN343+1 : TPTP v8.1.0. Released v2.0.0. % 0.09/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n013.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 : Mon Jul 11 20:37:29 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.40 % SZS status Theorem % 0.18/0.40 (* PROOF-FOUND *) % 0.18/0.40 (* BEGIN-PROOF *) % 0.18/0.40 % SZS output start Proof % 0.18/0.40 1. (big_f zenon_X0 zenon_X0) (-. (big_f zenon_X0 zenon_X0)) ### Axiom % 0.18/0.40 2. (big_f zenon_X0 zenon_X1) (-. (big_f zenon_X0 zenon_X1)) ### Axiom % 0.18/0.40 3. (-. ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 zenon_X1))) (big_f zenon_X0 zenon_X1) (big_f zenon_X0 zenon_X0) ### NotAnd 1 2 % 0.18/0.40 4. (-. ((((big_f zenon_X0 zenon_X0) => (big_f T_2 zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 zenon_X1)))) (big_f zenon_X0 zenon_X0) (big_f zenon_X0 zenon_X1) ### NotImply 3 % 0.18/0.40 5. (-. (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 zenon_X1))))) (big_f zenon_X0 zenon_X1) (big_f zenon_X0 zenon_X0) ### NotAllEx 4 % 0.18/0.40 6. (-. (Ex Y2, (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 Y2)))))) (big_f zenon_X0 zenon_X0) (big_f zenon_X0 zenon_X1) ### NotExists 5 % 0.18/0.40 7. (-. ((big_f zenon_X0 zenon_X0) => (big_f T_3 zenon_X0))) (big_f zenon_X0 zenon_X1) (-. (Ex Y2, (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 Y2)))))) ### NotImply 6 % 0.18/0.40 8. (((big_f zenon_X0 zenon_X0) => (big_f T_3 zenon_X0)) => (big_f zenon_X0 zenon_X0)) (-. (Ex Y2, (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 Y2)))))) (big_f zenon_X0 zenon_X1) ### Imply 7 6 % 0.18/0.40 9. (-. ((((big_f zenon_X0 zenon_X0) => (big_f T_3 zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 zenon_X4)))) (big_f zenon_X0 zenon_X1) (-. (Ex Y2, (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 Y2)))))) ### NotImply 8 % 0.18/0.40 10. (-. (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 zenon_X4))))) (-. (Ex Y2, (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 Y2)))))) (big_f zenon_X0 zenon_X1) ### NotAllEx 9 % 0.18/0.40 11. (big_f zenon_X0 zenon_X1) (-. (Ex Y2, (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 Y2)))))) ### NotExists 10 % 0.18/0.40 12. (-. (Ex Y1, (Ex Y2, (All Z, ((((big_f zenon_X0 Y1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f Y1 Y2))))))) (big_f zenon_X0 zenon_X1) ### NotExists 11 % 0.18/0.40 13. (-. ((big_f zenon_X0 zenon_X1) => (big_f T_5 zenon_X0))) (-. (Ex Y1, (Ex Y2, (All Z, ((((big_f zenon_X0 Y1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f Y1 Y2))))))) ### NotImply 12 % 0.18/0.40 14. (big_f zenon_X0 zenon_X0) (-. (big_f zenon_X0 zenon_X0)) ### Axiom % 0.18/0.40 15. (big_f zenon_X0 zenon_X0) (-. (big_f zenon_X0 zenon_X0)) ### Axiom % 0.18/0.40 16. (-. ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 zenon_X0))) (big_f zenon_X0 zenon_X0) ### NotAnd 14 15 % 0.18/0.40 17. (-. ((((big_f zenon_X0 zenon_X0) => (big_f T_6 zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 zenon_X0)))) (big_f zenon_X0 zenon_X0) ### NotImply 16 % 0.18/0.40 18. (-. (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 zenon_X0))))) (big_f zenon_X0 zenon_X0) ### NotAllEx 17 % 0.18/0.40 19. (-. (Ex Y2, (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 Y2)))))) (big_f zenon_X0 zenon_X0) ### NotExists 18 % 0.18/0.40 20. (-. (Ex Y1, (Ex Y2, (All Z, ((((big_f zenon_X0 Y1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f Y1 Y2))))))) (big_f zenon_X0 zenon_X0) ### NotExists 19 % 0.18/0.40 21. (((big_f zenon_X0 zenon_X1) => (big_f T_5 zenon_X0)) => (big_f zenon_X0 zenon_X0)) (-. (Ex Y1, (Ex Y2, (All Z, ((((big_f zenon_X0 Y1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f Y1 Y2))))))) ### Imply 13 20 % 0.18/0.40 22. (-. ((((big_f zenon_X0 zenon_X1) => (big_f T_5 zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X1 zenon_X7)))) (-. (Ex Y1, (Ex Y2, (All Z, ((((big_f zenon_X0 Y1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f Y1 Y2))))))) ### NotImply 21 % 0.18/0.40 23. (-. (All Z, ((((big_f zenon_X0 zenon_X1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X1 zenon_X7))))) (-. (Ex Y1, (Ex Y2, (All Z, ((((big_f zenon_X0 Y1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f Y1 Y2))))))) ### NotAllEx 22 % 0.18/0.40 24. (-. (Ex Y2, (All Z, ((((big_f zenon_X0 zenon_X1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X1 Y2)))))) (-. (Ex Y1, (Ex Y2, (All Z, ((((big_f zenon_X0 Y1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f Y1 Y2))))))) ### NotExists 23 % 0.18/0.40 25. (-. (Ex Y1, (Ex Y2, (All Z, ((((big_f zenon_X0 Y1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f Y1 Y2))))))) ### NotExists 24 % 0.18/0.40 26. (-. (Ex X, (Ex Y1, (Ex Y2, (All Z, ((((big_f X Y1) => (big_f Z X)) => (big_f X X)) => ((big_f X X) /\ (big_f Y1 Y2)))))))) ### NotExists 25 % 0.18/0.40 % SZS output end Proof % 0.18/0.40 (* END-PROOF *) %------------------------------------------------------------------------------