%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN729+1 : TPTP v8.1.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n006.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 12:46:10 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 % 0.03/0.12 % Problem : SYN729+1 : TPTP v8.1.0. Released v2.5.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n006.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Mon Jul 11 13:46:20 EDT 2022 % 0.13/0.33 % 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. (p T_0) (-. (p T_0)) ### Axiom % 0.20/0.39 2. (p T_1) (-. (p T_1)) ### Axiom % 0.20/0.39 3. (-. (p (h T_1))) (p (h T_1)) ### Axiom % 0.20/0.39 4. ((p (g T_1)) /\ (p (h T_1))) (-. (p (h T_1))) ### And 3 % 0.20/0.39 5. ((p T_1) => ((p (g T_1)) /\ (p (h T_1)))) (-. (p (h T_1))) (p T_1) ### Imply 2 4 % 0.20/0.39 6. (All W, ((p W) => ((p (g W)) /\ (p (h W))))) (p T_1) (-. (p (h T_1))) ### All 5 % 0.20/0.39 7. (l T_0 (g (h T_1))) (-. (l T_0 (g (h T_1)))) ### Axiom % 0.20/0.39 8. (p (g (h T_1))) (-. (p (g (h T_1)))) ### Axiom % 0.20/0.39 9. (-. ((l T_0 (g (h T_1))) /\ (p (g (h T_1))))) (p (g (h T_1))) (l T_0 (g (h T_1))) ### NotAnd 7 8 % 0.20/0.39 10. (-. (Ex Y, ((l T_0 Y) /\ (p Y)))) (l T_0 (g (h T_1))) (p (g (h T_1))) ### NotExists 9 % 0.20/0.39 11. ((p (g (h T_1))) /\ (p (h (h T_1)))) (l T_0 (g (h T_1))) (-. (Ex Y, ((l T_0 Y) /\ (p Y)))) ### And 10 % 0.20/0.39 12. ((p (h T_1)) => ((p (g (h T_1))) /\ (p (h (h T_1))))) (-. (Ex Y, ((l T_0 Y) /\ (p Y)))) (l T_0 (g (h T_1))) (p T_1) (All W, ((p W) => ((p (g W)) /\ (p (h W))))) ### Imply 6 11 % 0.20/0.39 13. (All W, ((p W) => ((p (g W)) /\ (p (h W))))) (p T_1) (l T_0 (g (h T_1))) (-. (Ex Y, ((l T_0 Y) /\ (p Y)))) ### All 12 % 0.20/0.39 14. ((l T_0 (g (h T_1))) /\ (p T_1)) (-. (Ex Y, ((l T_0 Y) /\ (p Y)))) (All W, ((p W) => ((p (g W)) /\ (p (h W))))) ### And 13 % 0.20/0.39 15. ((p T_0) => ((l T_0 (g (h T_1))) /\ (p T_1))) (All W, ((p W) => ((p (g W)) /\ (p (h W))))) (-. (Ex Y, ((l T_0 Y) /\ (p Y)))) (p T_0) ### Imply 1 14 % 0.20/0.39 16. (Ex Y, ((p T_0) => ((l T_0 (g (h Y))) /\ (p Y)))) (p T_0) (-. (Ex Y, ((l T_0 Y) /\ (p Y)))) (All W, ((p W) => ((p (g W)) /\ (p (h W))))) ### Exists 15 % 0.20/0.39 17. (All X, (Ex Y, ((p X) => ((l X (g (h Y))) /\ (p Y))))) (All W, ((p W) => ((p (g W)) /\ (p (h W))))) (-. (Ex Y, ((l T_0 Y) /\ (p Y)))) (p T_0) ### All 16 % 0.20/0.39 18. (-. ((p T_0) => (Ex Y, ((l T_0 Y) /\ (p Y))))) (All W, ((p W) => ((p (g W)) /\ (p (h W))))) (All X, (Ex Y, ((p X) => ((l X (g (h Y))) /\ (p Y))))) ### NotImply 17 % 0.20/0.39 19. (-. (All X, ((p X) => (Ex Y, ((l X Y) /\ (p Y)))))) (All X, (Ex Y, ((p X) => ((l X (g (h Y))) /\ (p Y))))) (All W, ((p W) => ((p (g W)) /\ (p (h W))))) ### NotAllEx 18 % 0.20/0.39 20. (-. (((All X, (Ex Y, ((p X) => ((l X (g (h Y))) /\ (p Y))))) /\ (All W, ((p W) => ((p (g W)) /\ (p (h W)))))) => (All X, ((p X) => (Ex Y, ((l X Y) /\ (p Y))))))) ### ConjTree 19 % 0.20/0.39 % SZS output end Proof % 0.20/0.39 (* END-PROOF *) %------------------------------------------------------------------------------