%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS090+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 : n022.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 : Sun Jul 17 03:31:52 EDT 2022 % Result : Unsatisfiable 2.63s 2.86s % Output : Proof 2.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : KRS090+1 : TPTP v8.1.0. Released v3.1.0. % 0.00/0.10 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.10/0.30 % Computer : n022.cluster.edu % 0.10/0.30 % Model : x86_64 x86_64 % 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.30 % Memory : 8042.1875MB % 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.30 % CPULimit : 300 % 0.10/0.30 % WCLimit : 600 % 0.10/0.30 % DateTime : Tue Jun 7 07:52:05 EDT 2022 % 0.10/0.30 % CPUTime : % 2.63/2.86 % SZS status Theorem % 2.63/2.86 (* PROOF-FOUND *) % 2.63/2.86 (* BEGIN-PROOF *) % 2.63/2.86 % SZS output start Proof % 2.63/2.86 1. (cTEST (i2003_11_14_17_19_57994)) (-. (cTEST (i2003_11_14_17_19_57994))) ### Axiom % 2.63/2.86 2. (-. (cC4 (i2003_11_14_17_19_57994))) (cC4 (i2003_11_14_17_19_57994)) ### Axiom % 2.63/2.86 3. ((cC4 (i2003_11_14_17_19_57994)) /\ ((cC1 (i2003_11_14_17_19_57994)) /\ (cC5 (i2003_11_14_17_19_57994)))) (-. (cC4 (i2003_11_14_17_19_57994))) ### ConjTree 2 % 2.63/2.86 4. ((cTEST (i2003_11_14_17_19_57994)) => ((cC4 (i2003_11_14_17_19_57994)) /\ ((cC1 (i2003_11_14_17_19_57994)) /\ (cC5 (i2003_11_14_17_19_57994))))) (-. (cC4 (i2003_11_14_17_19_57994))) (cTEST (i2003_11_14_17_19_57994)) ### Imply 1 3 % 2.63/2.86 5. (All X, ((cTEST X) => ((cC4 X) /\ ((cC1 X) /\ (cC5 X))))) (cTEST (i2003_11_14_17_19_57994)) (-. (cC4 (i2003_11_14_17_19_57994))) ### All 4 % 2.63/2.86 6. (cTEST (i2003_11_14_17_19_57994)) (-. (cTEST (i2003_11_14_17_19_57994))) ### Axiom % 2.63/2.86 7. (-. (cC5 (i2003_11_14_17_19_57994))) (cC5 (i2003_11_14_17_19_57994)) ### Axiom % 2.63/2.86 8. ((cC4 (i2003_11_14_17_19_57994)) /\ ((cC1 (i2003_11_14_17_19_57994)) /\ (cC5 (i2003_11_14_17_19_57994)))) (-. (cC5 (i2003_11_14_17_19_57994))) ### ConjTree 7 % 2.63/2.86 9. ((cTEST (i2003_11_14_17_19_57994)) => ((cC4 (i2003_11_14_17_19_57994)) /\ ((cC1 (i2003_11_14_17_19_57994)) /\ (cC5 (i2003_11_14_17_19_57994))))) (-. (cC5 (i2003_11_14_17_19_57994))) (cTEST (i2003_11_14_17_19_57994)) ### Imply 6 8 % 2.63/2.86 10. (All X, ((cTEST X) => ((cC4 X) /\ ((cC1 X) /\ (cC5 X))))) (cTEST (i2003_11_14_17_19_57994)) (-. (cC5 (i2003_11_14_17_19_57994))) ### All 9 % 2.63/2.86 11. (rR (i2003_11_14_17_19_57994) T_0) (-. (rR (i2003_11_14_17_19_57994) T_0)) ### Axiom % 2.63/2.86 12. (-. (cC3 T_0)) (cC3 T_0) ### Axiom % 2.63/2.86 13. ((rR (i2003_11_14_17_19_57994) T_0) => (cC3 T_0)) (-. (cC3 T_0)) (rR (i2003_11_14_17_19_57994) T_0) ### Imply 11 12 % 2.63/2.86 14. (All Y, ((rR (i2003_11_14_17_19_57994) Y) => (cC3 Y))) (rR (i2003_11_14_17_19_57994) T_0) (-. (cC3 T_0)) ### All 13 % 2.63/2.86 15. ((cC5 (i2003_11_14_17_19_57994)) => (All Y, ((rR (i2003_11_14_17_19_57994) Y) => (cC3 Y)))) (-. (cC3 T_0)) (rR (i2003_11_14_17_19_57994) T_0) (cTEST (i2003_11_14_17_19_57994)) (All X, ((cTEST X) => ((cC4 X) /\ ((cC1 X) /\ (cC5 X))))) ### Imply 10 14 % 2.63/2.86 16. (All X, ((cC5 X) => (All Y, ((rR X Y) => (cC3 Y))))) (All X, ((cTEST X) => ((cC4 X) /\ ((cC1 X) /\ (cC5 X))))) (cTEST (i2003_11_14_17_19_57994)) (rR (i2003_11_14_17_19_57994) T_0) (-. (cC3 T_0)) ### All 15 % 2.63/2.86 17. (-. (cB T_0)) (cB T_0) ### Axiom % 2.63/2.86 18. (cC2 T_0) (-. (cC2 T_0)) ### Axiom % 2.63/2.86 19. (-. (cB T_0)) (cB T_0) ### Axiom % 2.63/2.86 20. (-. (cA T_0)) (cA T_0) ### Axiom % 2.63/2.86 21. ((cB T_0) \/ (cA T_0)) (-. (cA T_0)) (-. (cB T_0)) ### Or 19 20 % 2.63/2.86 22. (-. (cA T_0)) (cA T_0) ### Axiom % 2.63/2.86 23. ((-. (cB T_0)) \/ (cA T_0)) (-. (cA T_0)) ((cB T_0) \/ (cA T_0)) ### Or 21 22 % 2.63/2.86 24. (((-. (cB T_0)) \/ (cA T_0)) /\ ((cB T_0) \/ (cA T_0))) (-. (cA T_0)) ### And 23 % 2.63/2.86 25. ((cC2 T_0) => (((-. (cB T_0)) \/ (cA T_0)) /\ ((cB T_0) \/ (cA T_0)))) (-. (cA T_0)) (cC2 T_0) ### Imply 18 24 % 2.63/2.86 26. (All X, ((cC2 X) => (((-. (cB X)) \/ (cA X)) /\ ((cB X) \/ (cA X))))) (cC2 T_0) (-. (cA T_0)) ### All 25 % 2.63/2.86 27. ((cB T_0) \/ (-. (cA T_0))) (cC2 T_0) (All X, ((cC2 X) => (((-. (cB X)) \/ (cA X)) /\ ((cB X) \/ (cA X))))) (-. (cB T_0)) ### Or 17 26 % 2.63/2.86 28. ((-. (cB T_0)) \/ (-. (cA T_0))) (All X, ((cC2 X) => (((-. (cB X)) \/ (cA X)) /\ ((cB X) \/ (cA X))))) (cC2 T_0) ((cB T_0) \/ (-. (cA T_0))) ### Or 27 26 % 2.63/2.86 29. (((-. (cB T_0)) \/ (-. (cA T_0))) /\ ((cB T_0) \/ (-. (cA T_0)))) (cC2 T_0) (All X, ((cC2 X) => (((-. (cB X)) \/ (cA X)) /\ ((cB X) \/ (cA X))))) ### And 28 % 2.63/2.86 30. ((cC3 T_0) => (((-. (cB T_0)) \/ (-. (cA T_0))) /\ ((cB T_0) \/ (-. (cA T_0))))) (All X, ((cC2 X) => (((-. (cB X)) \/ (cA X)) /\ ((cB X) \/ (cA X))))) (cC2 T_0) (rR (i2003_11_14_17_19_57994) T_0) (cTEST (i2003_11_14_17_19_57994)) (All X, ((cTEST X) => ((cC4 X) /\ ((cC1 X) /\ (cC5 X))))) (All X, ((cC5 X) => (All Y, ((rR X Y) => (cC3 Y))))) ### Imply 16 29 % 2.63/2.86 31. (All X, ((cC3 X) => (((-. (cB X)) \/ (-. (cA X))) /\ ((cB X) \/ (-. (cA X)))))) (All X, ((cC5 X) => (All Y, ((rR X Y) => (cC3 Y))))) (All X, ((cTEST X) => ((cC4 X) /\ ((cC1 X) /\ (cC5 X))))) (cTEST (i2003_11_14_17_19_57994)) (rR (i2003_11_14_17_19_57994) T_0) (cC2 T_0) (All X, ((cC2 X) => (((-. (cB X)) \/ (cA X)) /\ ((cB X) \/ (cA X))))) ### All 30 % 2.63/2.86 32. ((rR (i2003_11_14_17_19_57994) T_0) /\ (cC2 T_0)) (All X, ((cC2 X) => (((-. (cB X)) \/ (cA X)) /\ ((cB X) \/ (cA X))))) (cTEST (i2003_11_14_17_19_57994)) (All X, ((cTEST X) => ((cC4 X) /\ ((cC1 X) /\ (cC5 X))))) (All X, ((cC5 X) => (All Y, ((rR X Y) => (cC3 Y))))) (All X, ((cC3 X) => (((-. (cB X)) \/ (-. (cA X))) /\ ((cB X) \/ (-. (cA X)))))) ### And 31 % 2.63/2.86 33. (Ex Y, ((rR (i2003_11_14_17_19_57994) Y) /\ (cC2 Y))) (All X, ((cC3 X) => (((-. (cB X)) \/ (-. (cA X))) /\ ((cB X) \/ (-. (cA X)))))) (All X, ((cC5 X) => (All Y, ((rR X Y) => (cC3 Y))))) (All X, ((cTEST X) => ((cC4 X) /\ ((cC1 X) /\ (cC5 X))))) (cTEST (i2003_11_14_17_19_57994)) (All X, ((cC2 X) => (((-. (cB X)) \/ (cA X)) /\ ((cB X) \/ (cA X))))) ### Exists 32 % 2.63/2.86 34. ((cC4 (i2003_11_14_17_19_57994)) => (Ex Y, ((rR (i2003_11_14_17_19_57994) Y) /\ (cC2 Y)))) (All X, ((cC2 X) => (((-. (cB X)) \/ (cA X)) /\ ((cB X) \/ (cA X))))) (All X, ((cC5 X) => (All Y, ((rR X Y) => (cC3 Y))))) (All X, ((cC3 X) => (((-. (cB X)) \/ (-. (cA X))) /\ ((cB X) \/ (-. (cA X)))))) (cTEST (i2003_11_14_17_19_57994)) (All X, ((cTEST X) => ((cC4 X) /\ ((cC1 X) /\ (cC5 X))))) ### Imply 5 33 % 2.63/2.86 35. (All X, ((cC4 X) => (Ex Y, ((rR X Y) /\ (cC2 Y))))) (All X, ((cTEST X) => ((cC4 X) /\ ((cC1 X) /\ (cC5 X))))) (cTEST (i2003_11_14_17_19_57994)) (All X, ((cC3 X) => (((-. (cB X)) \/ (-. (cA X))) /\ ((cB X) \/ (-. (cA X)))))) (All X, ((cC5 X) => (All Y, ((rR X Y) => (cC3 Y))))) (All X, ((cC2 X) => (((-. (cB X)) \/ (cA X)) /\ ((cB X) \/ (cA X))))) ### All 34 % 2.63/2.86 % SZS output end Proof % 2.63/2.86 (* END-PROOF *) %------------------------------------------------------------------------------