%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN365+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 : n019.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 12:43:01 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 : SYN365+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n019.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Mon Jul 11 17:09:23 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 T_0) (-. (big_p T_0)) ### Axiom % 0.19/0.40 2. (big_p T_1) (-. (big_p T_1)) ### Axiom % 0.19/0.40 3. (-. (big_p (h T_1))) (big_p (h T_1)) ### Axiom % 0.19/0.40 4. ((big_p (g T_1)) /\ (big_p (h T_1))) (-. (big_p (h T_1))) ### And 3 % 0.19/0.40 5. ((big_p T_1) => ((big_p (g T_1)) /\ (big_p (h T_1)))) (-. (big_p (h T_1))) (big_p T_1) ### Imply 2 4 % 0.19/0.40 6. (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) (big_p T_1) (-. (big_p (h T_1))) ### All 5 % 0.19/0.40 7. (big_r T_0 (g (h T_1))) (-. (big_r T_0 (g (h T_1)))) ### Axiom % 0.19/0.40 8. (big_p (g (h T_1))) (-. (big_p (g (h T_1)))) ### Axiom % 0.19/0.40 9. (-. ((big_r T_0 (g (h T_1))) /\ (big_p (g (h T_1))))) (big_p (g (h T_1))) (big_r T_0 (g (h T_1))) ### NotAnd 7 8 % 0.19/0.40 10. (-. (Ex Y, ((big_r T_0 Y) /\ (big_p Y)))) (big_r T_0 (g (h T_1))) (big_p (g (h T_1))) ### NotExists 9 % 0.19/0.40 11. ((big_p (g (h T_1))) /\ (big_p (h (h T_1)))) (big_r T_0 (g (h T_1))) (-. (Ex Y, ((big_r T_0 Y) /\ (big_p Y)))) ### And 10 % 0.19/0.40 12. ((big_p (h T_1)) => ((big_p (g (h T_1))) /\ (big_p (h (h T_1))))) (-. (Ex Y, ((big_r T_0 Y) /\ (big_p Y)))) (big_r T_0 (g (h T_1))) (big_p T_1) (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) ### Imply 6 11 % 0.19/0.40 13. (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) (big_p T_1) (big_r T_0 (g (h T_1))) (-. (Ex Y, ((big_r T_0 Y) /\ (big_p Y)))) ### All 12 % 0.19/0.40 14. ((big_r T_0 (g (h T_1))) /\ (big_p T_1)) (-. (Ex Y, ((big_r T_0 Y) /\ (big_p Y)))) (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) ### And 13 % 0.19/0.40 15. ((big_p T_0) => ((big_r T_0 (g (h T_1))) /\ (big_p T_1))) (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) (-. (Ex Y, ((big_r T_0 Y) /\ (big_p Y)))) (big_p T_0) ### Imply 1 14 % 0.19/0.40 16. (Ex Y, ((big_p T_0) => ((big_r T_0 (g (h Y))) /\ (big_p Y)))) (big_p T_0) (-. (Ex Y, ((big_r T_0 Y) /\ (big_p Y)))) (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) ### Exists 15 % 0.19/0.40 17. (All X, (Ex Y, ((big_p X) => ((big_r X (g (h Y))) /\ (big_p Y))))) (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) (-. (Ex Y, ((big_r T_0 Y) /\ (big_p Y)))) (big_p T_0) ### All 16 % 0.19/0.40 18. (-. ((big_p T_0) => (Ex Y, ((big_r T_0 Y) /\ (big_p Y))))) (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) (All X, (Ex Y, ((big_p X) => ((big_r X (g (h Y))) /\ (big_p Y))))) ### NotImply 17 % 0.19/0.40 19. (-. (All X, ((big_p X) => (Ex Y, ((big_r X Y) /\ (big_p Y)))))) (All X, (Ex Y, ((big_p X) => ((big_r X (g (h Y))) /\ (big_p Y))))) (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) ### NotAllEx 18 % 0.19/0.40 20. (-. (((All X, (Ex Y, ((big_p X) => ((big_r X (g (h Y))) /\ (big_p Y))))) /\ (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W)))))) => (All X, ((big_p X) => (Ex Y, ((big_r X Y) /\ (big_p Y))))))) ### ConjTree 19 % 0.19/0.40 % SZS output end Proof % 0.19/0.40 (* END-PROOF *) %------------------------------------------------------------------------------