%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : PHI013+1 : TPTP v8.1.0. Released v7.2.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n023.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 : Mon Jul 18 16:49:04 EDT 2022 % Result : Theorem 2.64s 2.87s % Output : Proof 2.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : PHI013+1 : TPTP v8.1.0. Released v7.2.0. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n023.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 : Thu Jun 2 01:23:26 EDT 2022 % 0.12/0.33 % CPUTime : % 2.64/2.87 % SZS status Theorem % 2.64/2.87 (* PROOF-FOUND *) % 2.64/2.87 (* BEGIN-PROOF *) % 2.64/2.87 % SZS output start Proof % 2.64/2.87 1. (is_the (god) (none_greater)) (-. (is_the (god) (none_greater))) ### Axiom % 2.64/2.87 2. (-. (property (none_greater))) (property (none_greater)) ### Axiom % 2.64/2.87 3. ((property (none_greater)) /\ (object (god))) (-. (property (none_greater))) ### And 2 % 2.64/2.87 4. ((is_the (god) (none_greater)) => ((property (none_greater)) /\ (object (god)))) (-. (property (none_greater))) (is_the (god) (none_greater)) ### Imply 1 3 % 2.64/2.87 5. (All F, ((is_the (god) F) => ((property F) /\ (object (god))))) (is_the (god) (none_greater)) (-. (property (none_greater))) ### All 4 % 2.64/2.87 6. (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (-. (property (none_greater))) (is_the (god) (none_greater)) ### All 5 % 2.64/2.87 7. (is_the (god) (none_greater)) (-. (is_the (god) (none_greater))) ### Axiom % 2.64/2.87 8. (-. (object (god))) (object (god)) ### Axiom % 2.64/2.87 9. ((property (none_greater)) /\ (object (god))) (-. (object (god))) ### And 8 % 2.64/2.87 10. ((is_the (god) (none_greater)) => ((property (none_greater)) /\ (object (god)))) (-. (object (god))) (is_the (god) (none_greater)) ### Imply 7 9 % 2.64/2.87 11. (All F, ((is_the (god) F) => ((property F) /\ (object (god))))) (is_the (god) (none_greater)) (-. (object (god))) ### All 10 % 2.64/2.87 12. (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (-. (object (god))) (is_the (god) (none_greater)) ### All 11 % 2.64/2.87 13. (is_the (god) (none_greater)) (-. (is_the (god) (none_greater))) ### Axiom % 2.64/2.87 14. (-. ((object (god)) /\ (is_the (god) (none_greater)))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) ### NotAnd 12 13 % 2.64/2.87 15. (-. (Ex U, ((object U) /\ (is_the U (none_greater))))) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (is_the (god) (none_greater)) ### NotExists 14 % 2.64/2.87 16. (is_the (god) (none_greater)) (-. (is_the (god) (none_greater))) ### Axiom % 2.64/2.87 17. (is_the (god) (none_greater)) (-. (is_the (god) (none_greater))) ### Axiom % 2.64/2.87 18. (-. (exemplifies_property (existence) (god))) (exemplifies_property (existence) (god)) ### Axiom % 2.64/2.87 19. (exemplifies_property (none_greater) (god)) (-. (exemplifies_property (none_greater) (god))) ### Axiom % 2.64/2.87 20. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y)))) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y))))) ### Axiom % 2.64/2.87 21. ((exemplifies_property (conceivable) (god)) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y)))))) (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y)))) ### And 20 % 2.64/2.87 22. ((exemplifies_property (none_greater) (god)) <=> ((exemplifies_property (conceivable) (god)) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y))))))) (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y)))) (exemplifies_property (none_greater) (god)) ### Equiv 19 21 % 2.64/2.87 23. ((object (god)) => ((exemplifies_property (none_greater) (god)) <=> ((exemplifies_property (conceivable) (god)) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y)))))))) (exemplifies_property (none_greater) (god)) (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y)))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) ### Imply 12 22 % 2.64/2.87 24. (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (is_the (god) (none_greater)) (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y)))) (exemplifies_property (none_greater) (god)) ### All 23 % 2.64/2.87 25. ((object (god)) => (((is_the (god) (none_greater)) /\ (-. (exemplifies_property (existence) (god)))) => (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y)))))) (exemplifies_property (none_greater) (god)) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (-. (exemplifies_property (existence) (god))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) ### DisjTree 12 17 18 24 % 2.64/2.87 26. (All X, ((object X) => (((is_the X (none_greater)) /\ (-. (exemplifies_property (existence) X))) => (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (is_the (god) (none_greater)) (-. (exemplifies_property (existence) (god))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (exemplifies_property (none_greater) (god)) ### All 25 % 2.64/2.87 27. ((object (god)) => ((is_the (god) (none_greater)) => (exemplifies_property (none_greater) (god)))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (-. (exemplifies_property (existence) (god))) (All X, ((object X) => (((is_the X (none_greater)) /\ (-. (exemplifies_property (existence) X))) => (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) ### DisjTree 12 16 26 % 2.64/2.87 28. (All Z, ((object Z) => ((is_the Z (none_greater)) => (exemplifies_property (none_greater) Z)))) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (is_the (god) (none_greater)) (All X, ((object X) => (((is_the X (none_greater)) /\ (-. (exemplifies_property (existence) X))) => (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))) (-. (exemplifies_property (existence) (god))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) ### All 27 % 2.64/2.87 29. ((property (none_greater)) => ((Ex U, ((object U) /\ (is_the U (none_greater)))) => (All Z, ((object Z) => ((is_the Z (none_greater)) => (exemplifies_property (none_greater) Z)))))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (-. (exemplifies_property (existence) (god))) (All X, ((object X) => (((is_the X (none_greater)) /\ (-. (exemplifies_property (existence) X))) => (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) ### DisjTree 6 15 28 % 2.64/2.87 30. (All F, ((property F) => ((Ex U, ((object U) /\ (is_the U F))) => (All Z, ((object Z) => ((is_the Z F) => (exemplifies_property F Z))))))) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (is_the (god) (none_greater)) (All X, ((object X) => (((is_the X (none_greater)) /\ (-. (exemplifies_property (existence) X))) => (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))) (-. (exemplifies_property (existence) (god))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) ### All 29 % 2.64/2.88 % SZS output end Proof % 2.64/2.88 (* END-PROOF *) %------------------------------------------------------------------------------