%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUN073+2 : TPTP v8.1.0. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n024.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 16:39:10 EDT 2022 % Result : Theorem 0.61s 0.77s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUN073+2 : TPTP v8.1.0. Released v7.3.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n024.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Thu Jun 2 06:36:36 EDT 2022 % 0.13/0.33 % CPUTime : % 0.61/0.77 % SZS status Theorem % 0.61/0.77 (* PROOF-FOUND *) % 0.61/0.77 (* BEGIN-PROOF *) % 0.61/0.77 % SZS output start Proof % 0.61/0.77 1. (r2 T_0 T_1) (-. (r2 T_0 T_1)) ### Axiom % 0.61/0.77 2. (T_2 = T_1) (T_1 != T_2) ### Sym(=) % 0.61/0.77 3. ((-. (r2 T_0 T_1)) \/ (T_1 != T_2)) (T_2 = T_1) (r2 T_0 T_1) ### Or 1 2 % 0.61/0.77 4. (All Y13, ((-. (r2 T_0 Y13)) \/ (Y13 != T_2))) (r2 T_0 T_1) (T_2 = T_1) ### All 3 % 0.61/0.77 5. (r2 T_3 T_2) (-. (r2 T_3 T_2)) ### Axiom % 0.61/0.77 6. ((All Y13, ((-. (r2 T_0 Y13)) \/ (Y13 != T_2))) \/ (-. (r2 T_3 T_2))) (r2 T_3 T_2) (T_2 = T_1) (r2 T_0 T_1) ### Or 4 5 % 0.61/0.77 7. (All Y12, ((All Y13, ((-. (r2 T_0 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 T_3 Y12)))) (r2 T_0 T_1) (T_2 = T_1) (r2 T_3 T_2) ### All 6 % 0.61/0.77 8. (r1 T_3) (-. (r1 T_3)) ### Axiom % 0.61/0.77 9. (T_0 = T_3) (T_3 != T_0) ### Sym(=) % 0.61/0.77 10. ((-. (r1 T_3)) \/ (T_3 != T_0)) (T_0 = T_3) (r1 T_3) ### Or 8 9 % 0.61/0.77 11. (All Y20, ((-. (r1 Y20)) \/ (Y20 != T_0))) (r1 T_3) (T_0 = T_3) ### All 10 % 0.61/0.77 12. ((All Y12, ((All Y13, ((-. (r2 T_0 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 T_3 Y12)))) \/ (T_0 = T_3)) (r1 T_3) (All Y20, ((-. (r1 Y20)) \/ (Y20 != T_0))) (r2 T_3 T_2) (T_2 = T_1) (r2 T_0 T_1) ### Or 7 11 % 0.61/0.77 13. (All X10, ((All Y12, ((All Y13, ((-. (r2 T_0 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (T_0 = X10))) (r2 T_0 T_1) (T_2 = T_1) (r2 T_3 T_2) (All Y20, ((-. (r1 Y20)) \/ (Y20 != T_0))) (r1 T_3) ### All 12 % 0.61/0.77 14. (r2 T_4 T_0) (-. (r2 T_4 T_0)) ### Axiom % 0.61/0.77 15. ((All Y20, ((-. (r1 Y20)) \/ (Y20 != T_0))) \/ (-. (r2 T_4 T_0))) (r2 T_4 T_0) (r1 T_3) (r2 T_3 T_2) (T_2 = T_1) (r2 T_0 T_1) (All X10, ((All Y12, ((All Y13, ((-. (r2 T_0 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (T_0 = X10))) ### Or 13 14 % 0.61/0.77 16. (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 T_4 Y10)))) (All X10, ((All Y12, ((All Y13, ((-. (r2 T_0 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (T_0 = X10))) (r2 T_0 T_1) (T_2 = T_1) (r2 T_3 T_2) (r1 T_3) (r2 T_4 T_0) ### All 15 % 0.61/0.77 17. (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) (r2 T_4 T_0) (r1 T_3) (r2 T_3 T_2) (T_2 = T_1) (r2 T_0 T_1) (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 T_4 Y10)))) ### All 16 % 0.61/0.77 18. (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (r2 T_0 T_1) (T_2 = T_1) (r2 T_3 T_2) (r1 T_3) (r2 T_4 T_0) (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) ### All 17 % 0.61/0.77 19. (-. (-. (r2 T_0 T_1))) (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) (r2 T_4 T_0) (r1 T_3) (r2 T_3 T_2) (T_2 = T_1) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) ### NotNot 18 % 0.61/0.77 20. (-. (-. (r2 T_4 T_0))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (T_2 = T_1) (r2 T_3 T_2) (r1 T_3) (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) (-. (-. (r2 T_0 T_1))) ### NotNot 19 % 0.61/0.77 21. (-. ((-. (r1 T_4)) \/ (-. (r2 T_4 T_0)))) (-. (-. (r2 T_0 T_1))) (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) (r1 T_3) (r2 T_3 T_2) (T_2 = T_1) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) ### NotOr 20 % 0.61/0.77 22. (-. (All Y5, ((-. (r1 Y5)) \/ (-. (r2 Y5 T_0))))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (T_2 = T_1) (r2 T_3 T_2) (r1 T_3) (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) (-. (-. (r2 T_0 T_1))) ### NotAllEx 21 % 0.61/0.77 23. (-. ((All Y5, ((-. (r1 Y5)) \/ (-. (r2 Y5 T_0)))) \/ (-. (r2 T_0 T_1)))) (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) (r1 T_3) (r2 T_3 T_2) (T_2 = T_1) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) ### NotOr 22 % 0.61/0.77 24. (-. (All Y3, ((All Y5, ((-. (r1 Y5)) \/ (-. (r2 Y5 Y3)))) \/ (-. (r2 Y3 T_1))))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (T_2 = T_1) (r2 T_3 T_2) (r1 T_3) (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) ### NotAllEx 23 % 0.61/0.77 25. (-. (T_2 != T_1)) (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) (r1 T_3) (r2 T_3 T_2) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (-. (All Y3, ((All Y5, ((-. (r1 Y5)) \/ (-. (r2 Y5 Y3)))) \/ (-. (r2 Y3 T_1))))) ### NotNot 24 % 0.61/0.77 26. (-. (-. (r2 T_3 T_2))) (-. (All Y3, ((All Y5, ((-. (r1 Y5)) \/ (-. (r2 Y5 Y3)))) \/ (-. (r2 Y3 T_1))))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (r1 T_3) (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) (-. (T_2 != T_1)) ### NotNot 25 % 0.61/0.77 27. (-. (-. (r1 T_3))) (-. (T_2 != T_1)) (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (-. (All Y3, ((All Y5, ((-. (r1 Y5)) \/ (-. (r2 Y5 Y3)))) \/ (-. (r2 Y3 T_1))))) (-. (-. (r2 T_3 T_2))) ### NotNot 26 % 0.61/0.77 28. (-. ((-. (r1 T_3)) \/ (-. (r2 T_3 T_2)))) (-. (All Y3, ((All Y5, ((-. (r1 Y5)) \/ (-. (r2 Y5 Y3)))) \/ (-. (r2 Y3 T_1))))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) (-. (T_2 != T_1)) ### NotOr 27 % 0.61/0.77 29. (-. (All Y4, ((-. (r1 Y4)) \/ (-. (r2 Y4 T_2))))) (-. (T_2 != T_1)) (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (-. (All Y3, ((All Y5, ((-. (r1 Y5)) \/ (-. (r2 Y5 Y3)))) \/ (-. (r2 Y3 T_1))))) ### NotAllEx 28 % 0.61/0.77 30. (-. ((All Y4, ((-. (r1 Y4)) \/ (-. (r2 Y4 T_2)))) \/ (T_2 != T_1))) (-. (All Y3, ((All Y5, ((-. (r1 Y5)) \/ (-. (r2 Y5 Y3)))) \/ (-. (r2 Y3 T_1))))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) ### NotOr 29 % 0.61/0.77 31. (-. (All Y2, ((All Y4, ((-. (r1 Y4)) \/ (-. (r2 Y4 Y2)))) \/ (Y2 != T_1)))) (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (-. (All Y3, ((All Y5, ((-. (r1 Y5)) \/ (-. (r2 Y5 Y3)))) \/ (-. (r2 Y3 T_1))))) ### NotAllEx 30 % 0.61/0.77 32. (-. ((All Y2, ((All Y4, ((-. (r1 Y4)) \/ (-. (r2 Y4 Y2)))) \/ (Y2 != T_1))) \/ (All Y3, ((All Y5, ((-. (r1 Y5)) \/ (-. (r2 Y5 Y3)))) \/ (-. (r2 Y3 T_1)))))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) ### NotOr 31 % 0.61/0.77 33. (-. (All Y1, ((All Y2, ((All Y4, ((-. (r1 Y4)) \/ (-. (r2 Y4 Y2)))) \/ (Y2 != Y1))) \/ (All Y3, ((All Y5, ((-. (r1 Y5)) \/ (-. (r2 Y5 Y3)))) \/ (-. (r2 Y3 Y1))))))) (All X3, (All X10, ((All Y12, ((All Y13, ((-. (r2 X3 Y13)) \/ (Y13 != Y12))) \/ (-. (r2 X10 Y12)))) \/ (X3 = X10)))) (All X7, (All Y10, ((All Y20, ((-. (r1 Y20)) \/ (Y20 != Y10))) \/ (-. (r2 X7 Y10))))) ### NotAllEx 32 % 0.61/0.77 % SZS output end Proof % 0.61/0.77 (* END-PROOF *) %------------------------------------------------------------------------------