%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN084+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 : n029.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 12:41:01 EDT 2022 % Result : Theorem 0.19s 0.40s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN084+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n029.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 13:01:32 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.40 % SZS status Theorem % 0.19/0.40 (* PROOF-FOUND *) % 0.19/0.40 (* BEGIN-PROOF *) % 0.19/0.40 % SZS output start Proof % 0.19/0.40 1. (big_p (a)) (-. (big_p (a))) ### Axiom % 0.19/0.40 2. (-. (big_p T_0)) (big_p T_0) ### Axiom % 0.19/0.40 3. (-. (big_p (f (f T_0)))) (big_p (f (f T_0))) ### Axiom % 0.19/0.40 4. ((-. (big_p (a))) \/ ((big_p T_0) \/ (big_p (f (f T_0))))) (-. (big_p (f (f T_0)))) (-. (big_p T_0)) (big_p (a)) ### DisjTree 1 2 3 % 0.19/0.40 5. (((-. (big_p (a))) \/ ((big_p T_0) \/ (big_p (f (f T_0))))) /\ ((-. (big_p (a))) \/ ((-. (big_p (f T_0))) \/ (big_p (f (f T_0)))))) (big_p (a)) (-. (big_p T_0)) (-. (big_p (f (f T_0)))) ### And 4 % 0.19/0.40 6. (All X1, (((-. (big_p (a))) \/ ((big_p X1) \/ (big_p (f (f X1))))) /\ ((-. (big_p (a))) \/ ((-. (big_p (f X1))) \/ (big_p (f (f X1))))))) (-. (big_p (f (f T_0)))) (-. (big_p T_0)) (big_p (a)) ### All 5 % 0.19/0.40 7. (big_p (a)) (-. (big_p (a))) ### Axiom % 0.19/0.40 8. (big_p (f T_0)) (-. (big_p (f T_0))) ### Axiom % 0.19/0.40 9. (-. (big_p (f (f T_0)))) (big_p (f (f T_0))) ### Axiom % 0.19/0.40 10. ((-. (big_p (a))) \/ ((-. (big_p (f T_0))) \/ (big_p (f (f T_0))))) (-. (big_p (f (f T_0)))) (big_p (f T_0)) (big_p (a)) ### DisjTree 7 8 9 % 0.19/0.40 11. (((-. (big_p (a))) \/ ((big_p T_0) \/ (big_p (f (f T_0))))) /\ ((-. (big_p (a))) \/ ((-. (big_p (f T_0))) \/ (big_p (f (f T_0)))))) (big_p (a)) (big_p (f T_0)) (-. (big_p (f (f T_0)))) ### And 10 % 0.19/0.40 12. (All X1, (((-. (big_p (a))) \/ ((big_p X1) \/ (big_p (f (f X1))))) /\ ((-. (big_p (a))) \/ ((-. (big_p (f X1))) \/ (big_p (f (f X1))))))) (-. (big_p (f (f T_0)))) (big_p (f T_0)) (big_p (a)) ### All 11 % 0.19/0.40 13. ((big_p T_0) => (big_p (f T_0))) (big_p (a)) (-. (big_p (f (f T_0)))) (All X1, (((-. (big_p (a))) \/ ((big_p X1) \/ (big_p (f (f X1))))) /\ ((-. (big_p (a))) \/ ((-. (big_p (f X1))) \/ (big_p (f (f X1))))))) ### Imply 6 12 % 0.19/0.40 14. (-. (((big_p (a)) /\ ((big_p T_0) => (big_p (f T_0)))) => (big_p (f (f T_0))))) (All X1, (((-. (big_p (a))) \/ ((big_p X1) \/ (big_p (f (f X1))))) /\ ((-. (big_p (a))) \/ ((-. (big_p (f X1))) \/ (big_p (f (f X1))))))) ### ConjTree 13 % 0.19/0.40 15. (-. (All X, (((big_p (a)) /\ ((big_p X) => (big_p (f X)))) => (big_p (f (f X)))))) (All X1, (((-. (big_p (a))) \/ ((big_p X1) \/ (big_p (f (f X1))))) /\ ((-. (big_p (a))) \/ ((-. (big_p (f X1))) \/ (big_p (f (f X1))))))) ### NotAllEx 14 % 0.19/0.40 16. (big_p (a)) (-. (big_p (a))) ### Axiom % 0.19/0.40 17. (-. (big_p T_1)) (big_p T_1) ### Axiom % 0.19/0.40 18. (-. ((big_p T_1) => (big_p (f T_1)))) (-. (big_p T_1)) ### NotImply 17 % 0.19/0.40 19. (-. (big_p (f (f T_1)))) (big_p (f (f T_1))) ### Axiom % 0.19/0.40 20. (((big_p (a)) /\ ((big_p T_1) => (big_p (f T_1)))) => (big_p (f (f T_1)))) (-. (big_p (f (f T_1)))) (-. (big_p T_1)) (big_p (a)) ### DisjTree 16 18 19 % 0.19/0.40 21. (All X, (((big_p (a)) /\ ((big_p X) => (big_p (f X)))) => (big_p (f (f X))))) (big_p (a)) (-. (big_p T_1)) (-. (big_p (f (f T_1)))) ### All 20 % 0.19/0.40 22. (-. ((-. (big_p (a))) \/ ((big_p T_1) \/ (big_p (f (f T_1)))))) (All X, (((big_p (a)) /\ ((big_p X) => (big_p (f X)))) => (big_p (f (f X))))) ### ConjTree 21 % 0.19/0.40 23. (big_p (a)) (-. (big_p (a))) ### Axiom % 0.19/0.40 24. (big_p (f T_1)) (-. (big_p (f T_1))) ### Axiom % 0.19/0.40 25. (-. ((big_p T_1) => (big_p (f T_1)))) (big_p (f T_1)) ### NotImply 24 % 0.19/0.40 26. (-. (big_p (f (f T_1)))) (big_p (f (f T_1))) ### Axiom % 0.19/0.40 27. (((big_p (a)) /\ ((big_p T_1) => (big_p (f T_1)))) => (big_p (f (f T_1)))) (-. (big_p (f (f T_1)))) (big_p (f T_1)) (big_p (a)) ### DisjTree 23 25 26 % 0.19/0.40 28. (All X, (((big_p (a)) /\ ((big_p X) => (big_p (f X)))) => (big_p (f (f X))))) (big_p (a)) (big_p (f T_1)) (-. (big_p (f (f T_1)))) ### All 27 % 0.19/0.40 29. (-. ((-. (big_p (a))) \/ ((-. (big_p (f T_1))) \/ (big_p (f (f T_1)))))) (All X, (((big_p (a)) /\ ((big_p X) => (big_p (f X)))) => (big_p (f (f X))))) ### ConjTree 28 % 0.19/0.40 30. (-. (((-. (big_p (a))) \/ ((big_p T_1) \/ (big_p (f (f T_1))))) /\ ((-. (big_p (a))) \/ ((-. (big_p (f T_1))) \/ (big_p (f (f T_1))))))) (All X, (((big_p (a)) /\ ((big_p X) => (big_p (f X)))) => (big_p (f (f X))))) ### NotAnd 22 29 % 0.19/0.40 31. (-. (All X1, (((-. (big_p (a))) \/ ((big_p X1) \/ (big_p (f (f X1))))) /\ ((-. (big_p (a))) \/ ((-. (big_p (f X1))) \/ (big_p (f (f X1)))))))) (All X, (((big_p (a)) /\ ((big_p X) => (big_p (f X)))) => (big_p (f (f X))))) ### NotAllEx 30 % 0.19/0.40 32. (-. ((All X, (((big_p (a)) /\ ((big_p X) => (big_p (f X)))) => (big_p (f (f X))))) <=> (All X1, (((-. (big_p (a))) \/ ((big_p X1) \/ (big_p (f (f X1))))) /\ ((-. (big_p (a))) \/ ((-. (big_p (f X1))) \/ (big_p (f (f X1))))))))) ### NotEquiv 15 31 % 0.19/0.40 % SZS output end Proof % 0.19/0.40 (* END-PROOF *) %------------------------------------------------------------------------------