%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n004.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 12:47:16 EDT 2022 % Result : Theorem 0.13s 0.40s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n004.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jul 11 19:14:22 EDT 2022 % 0.13/0.34 % CPUTime : % 0.13/0.40 % SZS status Theorem % 0.13/0.40 (* PROOF-FOUND *) % 0.13/0.40 (* BEGIN-PROOF *) % 0.13/0.40 % SZS output start Proof % 0.13/0.40 1. (f zenon_X0) (-. (f zenon_X0)) ### Axiom % 0.13/0.40 2. (g zenon_X0) (-. (g zenon_X0)) ### Axiom % 0.13/0.40 3. (-. (h zenon_X0)) (h zenon_X0) ### Axiom % 0.13/0.40 4. (-. ((f zenon_X0) /\ ((g zenon_X0) /\ (-. (h zenon_X0))))) (-. (h zenon_X0)) (g zenon_X0) (f zenon_X0) ### DisjTree 1 2 3 % 0.13/0.40 5. (-. (Ex V, ((f V) /\ ((g V) /\ (-. (h V)))))) (f zenon_X0) (g zenon_X0) (-. (h zenon_X0)) ### NotExists 4 % 0.13/0.40 6. (-. (((f zenon_X0) /\ (g zenon_X0)) => (h zenon_X0))) (-. (Ex V, ((f V) /\ ((g V) /\ (-. (h V)))))) ### ConjTree 5 % 0.13/0.40 7. (f T_1) (-. (f T_1)) ### Axiom % 0.13/0.40 8. (-. (g T_1)) (g T_1) ### Axiom % 0.13/0.40 9. ((f T_1) => (g T_1)) (-. (g T_1)) (f T_1) ### Imply 7 8 % 0.13/0.40 10. (All W, ((f W) => (g W))) (f T_1) (-. (g T_1)) ### All 9 % 0.13/0.40 11. ((f T_1) /\ (-. (g T_1))) (All W, ((f W) => (g W))) ### And 10 % 0.13/0.40 12. (Ex Y, ((f Y) /\ (-. (g Y)))) (All W, ((f W) => (g W))) ### Exists 11 % 0.13/0.40 13. ((((f zenon_X0) /\ (g zenon_X0)) => (h zenon_X0)) => (Ex Y, ((f Y) /\ (-. (g Y))))) (All W, ((f W) => (g W))) (-. (Ex V, ((f V) /\ ((g V) /\ (-. (h V)))))) ### Imply 6 12 % 0.13/0.40 14. (All X, ((((f X) /\ (g X)) => (h X)) => (Ex Y, ((f Y) /\ (-. (g Y)))))) (-. (Ex V, ((f V) /\ ((g V) /\ (-. (h V)))))) (All W, ((f W) => (g W))) ### All 13 % 0.13/0.40 15. (f zenon_X0) (-. (f zenon_X0)) ### Axiom % 0.13/0.40 16. (-. (h zenon_X0)) (h zenon_X0) ### Axiom % 0.13/0.40 17. ((f zenon_X0) => (h zenon_X0)) (-. (h zenon_X0)) (f zenon_X0) ### Imply 15 16 % 0.13/0.40 18. (All Z, ((f Z) => (h Z))) (f zenon_X0) (-. (h zenon_X0)) ### All 17 % 0.13/0.40 19. (-. (((f zenon_X0) /\ (g zenon_X0)) => (h zenon_X0))) (All Z, ((f Z) => (h Z))) ### ConjTree 18 % 0.13/0.40 20. (f T_1) (-. (f T_1)) ### Axiom % 0.13/0.40 21. (f T_1) (-. (f T_1)) ### Axiom % 0.13/0.40 22. (-. (h T_1)) (h T_1) ### Axiom % 0.13/0.40 23. ((f T_1) => (h T_1)) (-. (h T_1)) (f T_1) ### Imply 21 22 % 0.13/0.40 24. (All Z, ((f Z) => (h Z))) (f T_1) (-. (h T_1)) ### All 23 % 0.13/0.40 25. (-. (g T_1)) (g T_1) ### Axiom % 0.13/0.40 26. (((f T_1) /\ (h T_1)) => (g T_1)) (-. (g T_1)) (All Z, ((f Z) => (h Z))) (f T_1) ### DisjTree 20 24 25 % 0.13/0.40 27. (All R, (((f R) /\ (h R)) => (g R))) (f T_1) (All Z, ((f Z) => (h Z))) (-. (g T_1)) ### All 26 % 0.13/0.40 28. ((f T_1) /\ (-. (g T_1))) (All Z, ((f Z) => (h Z))) (All R, (((f R) /\ (h R)) => (g R))) ### And 27 % 0.13/0.40 29. (Ex Y, ((f Y) /\ (-. (g Y)))) (All R, (((f R) /\ (h R)) => (g R))) (All Z, ((f Z) => (h Z))) ### Exists 28 % 0.13/0.40 30. ((((f zenon_X0) /\ (g zenon_X0)) => (h zenon_X0)) => (Ex Y, ((f Y) /\ (-. (g Y))))) (All R, (((f R) /\ (h R)) => (g R))) (All Z, ((f Z) => (h Z))) ### Imply 19 29 % 0.13/0.40 31. (All X, ((((f X) /\ (g X)) => (h X)) => (Ex Y, ((f Y) /\ (-. (g Y)))))) (All Z, ((f Z) => (h Z))) (All R, (((f R) /\ (h R)) => (g R))) ### All 30 % 0.13/0.40 32. ((All W, ((f W) => (g W))) \/ (All Z, ((f Z) => (h Z)))) (All R, (((f R) /\ (h R)) => (g R))) (-. (Ex V, ((f V) /\ ((g V) /\ (-. (h V)))))) (All X, ((((f X) /\ (g X)) => (h X)) => (Ex Y, ((f Y) /\ (-. (g Y)))))) ### Or 14 31 % 0.13/0.40 33. (-. (((All X, ((((f X) /\ (g X)) => (h X)) => (Ex Y, ((f Y) /\ (-. (g Y)))))) /\ ((All W, ((f W) => (g W))) \/ (All Z, ((f Z) => (h Z))))) => ((All R, (((f R) /\ (h R)) => (g R))) => (Ex V, ((f V) /\ ((g V) /\ (-. (h V)))))))) ### ConjTree 32 % 0.13/0.40 % SZS output end Proof % 0.13/0.40 (* END-PROOF *) %------------------------------------------------------------------------------