%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN386+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 : 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 12:43:11 EDT 2022 % Result : Theorem 0.56s 0.72s % Output : Proof 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN386+1 : TPTP v8.1.0. Released v2.0.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n004.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 13:11:52 EDT 2022 % 0.12/0.34 % CPUTime : % 0.56/0.72 % SZS status Theorem % 0.56/0.72 (* PROOF-FOUND *) % 0.56/0.72 (* BEGIN-PROOF *) % 0.56/0.72 % SZS output start Proof % 0.56/0.72 1. (big_s T_0 T_1) (-. (big_s T_0 T_1)) ### Axiom % 0.56/0.72 2. (-. (big_d T_1 T_2 T_3)) (big_d T_1 T_2 T_3) ### Axiom % 0.56/0.72 3. ((big_s T_0 T_1) => (big_d T_1 T_2 T_3)) (-. (big_d T_1 T_2 T_3)) (big_s T_0 T_1) ### Imply 1 2 % 0.56/0.72 4. (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) (big_s T_0 T_1) (-. (big_d T_1 T_2 T_3)) ### All 3 % 0.56/0.72 5. (big_f T_1 T_4) (-. (big_f T_1 T_4)) ### Axiom % 0.56/0.72 6. (big_f T_2 T_5) (-. (big_f T_2 T_5)) ### Axiom % 0.56/0.72 7. (-. (big_d T_4 T_5 T_6)) (big_d T_4 T_5 T_6) ### Axiom % 0.56/0.72 8. (((big_f T_1 T_4) /\ (big_f T_2 T_5)) => (big_d T_4 T_5 T_6)) (-. (big_d T_4 T_5 T_6)) (big_f T_2 T_5) (big_f T_1 T_4) ### DisjTree 5 6 7 % 0.56/0.72 9. (All Z, (((big_f T_1 T_4) /\ (big_f T_2 Z)) => (big_d T_4 Z T_6))) (big_f T_1 T_4) (big_f T_2 T_5) (-. (big_d T_4 T_5 T_6)) ### All 8 % 0.56/0.72 10. (All Y, (All Z, (((big_f T_1 Y) /\ (big_f T_2 Z)) => (big_d Y Z T_6)))) (-. (big_d T_4 T_5 T_6)) (big_f T_2 T_5) (big_f T_1 T_4) ### All 9 % 0.56/0.72 11. ((big_d T_1 T_2 T_3) => (All Y, (All Z, (((big_f T_1 Y) /\ (big_f T_2 Z)) => (big_d Y Z T_6))))) (big_f T_1 T_4) (big_f T_2 T_5) (-. (big_d T_4 T_5 T_6)) (big_s T_0 T_1) (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) ### Imply 4 10 % 0.56/0.72 12. (All B, ((big_d T_1 B T_3) => (All Y, (All Z, (((big_f T_1 Y) /\ (big_f B Z)) => (big_d Y Z T_6)))))) (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) (big_s T_0 T_1) (-. (big_d T_4 T_5 T_6)) (big_f T_2 T_5) (big_f T_1 T_4) ### All 11 % 0.56/0.72 13. (All A, (All B, ((big_d A B T_3) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6))))))) (big_f T_1 T_4) (big_f T_2 T_5) (-. (big_d T_4 T_5 T_6)) (big_s T_0 T_1) (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) ### All 12 % 0.56/0.72 14. (-. ((big_f T_1 T_4) => (big_d T_4 T_5 T_6))) (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) (big_s T_0 T_1) (big_f T_2 T_5) (All A, (All B, ((big_d A B T_3) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6))))))) ### NotImply 13 % 0.56/0.72 15. (-. (All Z, ((big_f T_1 Z) => (big_d Z T_5 T_6)))) (All A, (All B, ((big_d A B T_3) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6))))))) (big_f T_2 T_5) (big_s T_0 T_1) (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) ### NotAllEx 14 % 0.56/0.72 16. (-. ((big_s T_0 T_1) => (All Z, ((big_f T_1 Z) => (big_d Z T_5 T_6))))) (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) (big_f T_2 T_5) (All A, (All B, ((big_d A B T_3) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6))))))) ### NotImply 15 % 0.56/0.72 17. (-. (All W, ((big_s T_0 W) => (All Z, ((big_f W Z) => (big_d Z T_5 T_6)))))) (All A, (All B, ((big_d A B T_3) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6))))))) (big_f T_2 T_5) (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) ### NotAllEx 16 % 0.56/0.72 18. (-. (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z T_5 T_6))))))) (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) (big_f T_2 T_5) (All A, (All B, ((big_d A B T_3) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6))))))) ### NotExists 17 % 0.56/0.72 19. (Ex N, (All W, ((big_s N W) => (big_d W T_2 T_3)))) (All A, (All B, ((big_d A B T_3) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6))))))) (big_f T_2 T_5) (-. (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z T_5 T_6))))))) ### Exists 18 % 0.56/0.72 20. (All E, (Ex N, (All W, ((big_s N W) => (big_d W T_2 E))))) (-. (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z T_5 T_6))))))) (big_f T_2 T_5) (All A, (All B, ((big_d A B T_3) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6))))))) ### All 19 % 0.56/0.72 21. (Ex D, (All A, (All B, ((big_d A B D) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6)))))))) (big_f T_2 T_5) (-. (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z T_5 T_6))))))) (All E, (Ex N, (All W, ((big_s N W) => (big_d W T_2 E))))) ### Exists 20 % 0.56/0.72 22. (All E, (Ex D, (All A, (All B, ((big_d A B D) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z E))))))))) (All E, (Ex N, (All W, ((big_s N W) => (big_d W T_2 E))))) (-. (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z T_5 T_6))))))) (big_f T_2 T_5) ### All 21 % 0.56/0.72 23. (-. (All E, (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z T_5 E)))))))) (big_f T_2 T_5) (All E, (Ex N, (All W, ((big_s N W) => (big_d W T_2 E))))) (All E, (Ex D, (All A, (All B, ((big_d A B D) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z E))))))))) ### NotAllEx 22 % 0.56/0.72 24. (-. (Ex Y, (All E, (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z Y E))))))))) (All E, (Ex D, (All A, (All B, ((big_d A B D) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z E))))))))) (All E, (Ex N, (All W, ((big_s N W) => (big_d W T_2 E))))) (big_f T_2 T_5) ### NotExists 23 % 0.56/0.72 25. (Ex Y, (big_f T_2 Y)) (All E, (Ex N, (All W, ((big_s N W) => (big_d W T_2 E))))) (All E, (Ex D, (All A, (All B, ((big_d A B D) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z E))))))))) (-. (Ex Y, (All E, (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z Y E))))))))) ### Exists 24 % 0.56/0.72 26. (All X, (Ex Y, (big_f X Y))) (-. (Ex Y, (All E, (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z Y E))))))))) (All E, (Ex D, (All A, (All B, ((big_d A B D) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z E))))))))) (All E, (Ex N, (All W, ((big_s N W) => (big_d W T_2 E))))) ### All 25 % 0.56/0.72 27. (Ex X, (All E, (Ex N, (All W, ((big_s N W) => (big_d W X E)))))) (All E, (Ex D, (All A, (All B, ((big_d A B D) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z E))))))))) (-. (Ex Y, (All E, (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z Y E))))))))) (All X, (Ex Y, (big_f X Y))) ### Exists 26 % 0.56/0.72 28. (-. (((All X, (Ex Y, (big_f X Y))) /\ ((Ex X, (All E, (Ex N, (All W, ((big_s N W) => (big_d W X E)))))) /\ (All E, (Ex D, (All A, (All B, ((big_d A B D) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z E))))))))))) => (Ex Y, (All E, (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z Y E)))))))))) ### ConjTree 27 % 0.56/0.72 % SZS output end Proof % 0.56/0.72 (* END-PROOF *) %------------------------------------------------------------------------------