%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : PHI009+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 : n026.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 0.19s 0.42s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PHI009+1 : TPTP v8.1.0. Released v7.2.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n026.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 : Thu Jun 2 01:37:27 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.42 % SZS status Theorem % 0.19/0.42 (* PROOF-FOUND *) % 0.19/0.42 (* BEGIN-PROOF *) % 0.19/0.42 % SZS output start Proof % 0.19/0.42 1. (object T_0) (-. (object T_0)) ### Axiom % 0.19/0.42 2. (property T_1) (-. (property T_1)) ### Axiom % 0.19/0.42 3. (property T_1) (-. (property T_1)) ### Axiom % 0.19/0.42 4. (object T_0) (-. (object T_0)) ### Axiom % 0.19/0.42 5. (object T_0) (-. (object T_0)) ### Axiom % 0.19/0.42 6. (exemplifies_property T_1 T_0) (-. (exemplifies_property T_1 T_0)) ### Axiom % 0.19/0.42 7. (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (-. (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0))))) ### Axiom % 0.19/0.42 8. (exemplifies_property T_1 T_0) (-. (exemplifies_property T_1 T_0)) ### Axiom % 0.19/0.42 9. (-. ((object T_0) /\ ((exemplifies_property T_1 T_0) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) /\ (exemplifies_property T_1 T_0))))) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (exemplifies_property T_1 T_0) (object T_0) ### DisjTree 5 6 7 8 % 0.19/0.42 10. (-. (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property T_1 Y)))))) (object T_0) (exemplifies_property T_1 T_0) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) ### NotExists 9 % 0.19/0.42 11. (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property T_1 Y))))) (-. (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property T_1 Y)))))) ### Axiom % 0.19/0.42 12. (-. (is_the T_0 T_1)) (is_the T_0 T_1) ### Axiom % 0.19/0.42 13. ((is_the T_0 T_1) /\ (exemplifies_property T_1 T_0)) (-. (is_the T_0 T_1)) ### And 12 % 0.19/0.42 14. (((is_the T_0 T_1) /\ (exemplifies_property T_1 T_0)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property T_1 Y)))))) (-. (is_the T_0 T_1)) (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property T_1 Y))))) ### Equiv 11 13 % 0.19/0.42 15. (-. (is_the T_0 T_1)) (((is_the T_0 T_1) /\ (exemplifies_property T_1 T_0)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property T_1 Y)))))) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (exemplifies_property T_1 T_0) (object T_0) ### Equiv 10 14 % 0.19/0.42 16. (((property T_1) /\ ((property T_1) /\ (object T_0))) => (((is_the T_0 T_1) /\ (exemplifies_property T_1 T_0)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property T_1 Y))))))) (exemplifies_property T_1 T_0) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (-. (is_the T_0 T_1)) (object T_0) (property T_1) ### DisjTree 2 3 4 15 % 0.19/0.42 17. (All X, (((property T_1) /\ ((property T_1) /\ (object X))) => (((is_the X T_1) /\ (exemplifies_property T_1 X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property T_1 Y)))))))) (property T_1) (object T_0) (-. (is_the T_0 T_1)) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (exemplifies_property T_1 T_0) ### All 16 % 0.19/0.42 18. (All G, (All X, (((property T_1) /\ ((property G) /\ (object X))) => (((is_the X T_1) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property G Y))))))))) (exemplifies_property T_1 T_0) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (-. (is_the T_0 T_1)) (object T_0) (property T_1) ### All 17 % 0.19/0.42 19. (-. ((object T_0) /\ (is_the T_0 T_1))) (property T_1) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (exemplifies_property T_1 T_0) (All G, (All X, (((property T_1) /\ ((property G) /\ (object X))) => (((is_the X T_1) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property G Y))))))))) (object T_0) ### NotAnd 1 18 % 0.19/0.42 20. (-. (Ex U, ((object U) /\ (is_the U T_1)))) (object T_0) (All G, (All X, (((property T_1) /\ ((property G) /\ (object X))) => (((is_the X T_1) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property G Y))))))))) (exemplifies_property T_1 T_0) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (property T_1) ### NotExists 19 % 0.19/0.42 21. (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) (property T_1) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (exemplifies_property T_1 T_0) (object T_0) (-. (Ex U, ((object U) /\ (is_the U T_1)))) ### All 20 % 0.19/0.42 22. ((object T_0) /\ ((exemplifies_property T_1 T_0) /\ (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))))) (-. (Ex U, ((object U) /\ (is_the U T_1)))) (property T_1) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) ### ConjTree 21 % 0.19/0.42 23. (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y))))))) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) (property T_1) (-. (Ex U, ((object U) /\ (is_the U T_1)))) ### Exists 22 % 0.19/0.42 24. (-. ((property T_1) => ((Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y))))))) => (Ex U, ((object U) /\ (is_the U T_1)))))) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) ### ConjTree 23 % 0.19/0.42 25. (-. (All F, ((property F) => ((Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ (All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y))))))) => (Ex U, ((object U) /\ (is_the U F))))))) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) ### NotAllEx 24 % 0.19/0.42 % SZS output end Proof % 0.19/0.42 (* END-PROOF *) %------------------------------------------------------------------------------