%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS107+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 : n029.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 03:31:55 EDT 2022 % Result : Unsatisfiable 11.23s 11.41s % Output : Proof 11.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : KRS107+1 : TPTP v8.1.0. Released v3.1.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.32 % Computer : n029.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Tue Jun 7 10:01:35 EDT 2022 % 0.12/0.33 % CPUTime : % 11.23/11.41 % SZS status Theorem % 11.23/11.41 (* PROOF-FOUND *) % 11.23/11.41 (* BEGIN-PROOF *) % 11.23/11.41 % SZS output start Proof % 11.23/11.41 1. (rrx3 (i2003_11_14_17_21_01226) T_0) (-. (rrx3 (i2003_11_14_17_21_01226) T_0)) ### Axiom % 11.23/11.41 2. (rrx3 (i2003_11_14_17_21_01226) T_0) (-. (rrx3 (i2003_11_14_17_21_01226) T_0)) ### Axiom % 11.23/11.41 3. (-. (rrx (i2003_11_14_17_21_01226) T_0)) (rrx (i2003_11_14_17_21_01226) T_0) ### Axiom % 11.23/11.41 4. ((rrx3 (i2003_11_14_17_21_01226) T_0) => (rrx (i2003_11_14_17_21_01226) T_0)) (-. (rrx (i2003_11_14_17_21_01226) T_0)) (rrx3 (i2003_11_14_17_21_01226) T_0) ### Imply 2 3 % 11.23/11.41 5. (All Y, ((rrx3 (i2003_11_14_17_21_01226) Y) => (rrx (i2003_11_14_17_21_01226) Y))) (rrx3 (i2003_11_14_17_21_01226) T_0) (-. (rrx (i2003_11_14_17_21_01226) T_0)) ### All 4 % 11.23/11.41 6. (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (-. (rrx (i2003_11_14_17_21_01226) T_0)) (rrx3 (i2003_11_14_17_21_01226) T_0) ### All 5 % 11.23/11.41 7. (rrx4 (i2003_11_14_17_21_01226) T_1) (-. (rrx4 (i2003_11_14_17_21_01226) T_1)) ### Axiom % 11.23/11.41 8. (-. (rrx (i2003_11_14_17_21_01226) T_1)) (rrx (i2003_11_14_17_21_01226) T_1) ### Axiom % 11.23/11.41 9. ((rrx4 (i2003_11_14_17_21_01226) T_1) => (rrx (i2003_11_14_17_21_01226) T_1)) (-. (rrx (i2003_11_14_17_21_01226) T_1)) (rrx4 (i2003_11_14_17_21_01226) T_1) ### Imply 7 8 % 11.23/11.41 10. (All Y, ((rrx4 (i2003_11_14_17_21_01226) Y) => (rrx (i2003_11_14_17_21_01226) Y))) (rrx4 (i2003_11_14_17_21_01226) T_1) (-. (rrx (i2003_11_14_17_21_01226) T_1)) ### All 9 % 11.23/11.41 11. (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (-. (rrx (i2003_11_14_17_21_01226) T_1)) (rrx4 (i2003_11_14_17_21_01226) T_1) ### All 10 % 11.23/11.41 12. (T_1 != T_0) (T_0 = T_1) ### Sym(=) % 11.23/11.41 13. (((rrx (i2003_11_14_17_21_01226) T_0) /\ (rrx (i2003_11_14_17_21_01226) T_1)) => (T_0 = T_1)) (T_1 != T_0) (rrx4 (i2003_11_14_17_21_01226) T_1) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (rrx3 (i2003_11_14_17_21_01226) T_0) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) ### DisjTree 6 11 12 % 11.23/11.41 14. (All Z, (((rrx (i2003_11_14_17_21_01226) T_0) /\ (rrx (i2003_11_14_17_21_01226) Z)) => (T_0 = Z))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (rrx3 (i2003_11_14_17_21_01226) T_0) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (rrx4 (i2003_11_14_17_21_01226) T_1) (T_1 != T_0) ### All 13 % 11.23/11.41 15. (All Y, (All Z, (((rrx (i2003_11_14_17_21_01226) Y) /\ (rrx (i2003_11_14_17_21_01226) Z)) => (Y = Z)))) (T_1 != T_0) (rrx4 (i2003_11_14_17_21_01226) T_1) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (rrx3 (i2003_11_14_17_21_01226) T_0) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) ### All 14 % 11.23/11.41 16. (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (rrx3 (i2003_11_14_17_21_01226) T_0) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (rrx4 (i2003_11_14_17_21_01226) T_1) (T_1 != T_0) ### All 15 % 11.23/11.41 17. (cc2 T_1) (-. (cc2 T_1)) ### Axiom % 11.23/11.41 18. (-. (cc2 T_0)) (cc2 T_0) ### Axiom % 11.23/11.41 19. (((T_1 = T_0) /\ (cc2 T_1)) => (cc2 T_0)) (-. (cc2 T_0)) (cc2 T_1) (rrx4 (i2003_11_14_17_21_01226) T_1) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (rrx3 (i2003_11_14_17_21_01226) T_0) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) ### DisjTree 16 17 18 % 11.23/11.41 20. (All B, (((T_1 = B) /\ (cc2 T_1)) => (cc2 B))) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (rrx3 (i2003_11_14_17_21_01226) T_0) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (rrx4 (i2003_11_14_17_21_01226) T_1) (cc2 T_1) (-. (cc2 T_0)) ### All 19 % 11.23/11.41 21. (All A, (All B, (((A = B) /\ (cc2 A)) => (cc2 B)))) (-. (cc2 T_0)) (cc2 T_1) (rrx4 (i2003_11_14_17_21_01226) T_1) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (rrx3 (i2003_11_14_17_21_01226) T_0) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) ### All 20 % 11.23/11.41 22. (cc1 T_0) (-. (cc1 T_0)) ### Axiom % 11.23/11.41 23. (-. ((cc2 T_0) /\ (cc1 T_0))) (cc1 T_0) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (rrx3 (i2003_11_14_17_21_01226) T_0) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (rrx4 (i2003_11_14_17_21_01226) T_1) (cc2 T_1) (All A, (All B, (((A = B) /\ (cc2 A)) => (cc2 B)))) ### NotAnd 21 22 % 11.23/11.41 24. (-. (ca_Ax2 T_0)) (All A, (All B, (((A = B) /\ (cc2 A)) => (cc2 B)))) (cc2 T_1) (rrx4 (i2003_11_14_17_21_01226) T_1) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (rrx3 (i2003_11_14_17_21_01226) T_0) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) (cc1 T_0) ### Definition-Pseudo(ca_Ax2) 23 % 11.23/11.41 25. (-. ((rrx3 (i2003_11_14_17_21_01226) T_0) /\ (ca_Ax2 T_0))) (cc1 T_0) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (rrx4 (i2003_11_14_17_21_01226) T_1) (cc2 T_1) (All A, (All B, (((A = B) /\ (cc2 A)) => (cc2 B)))) (rrx3 (i2003_11_14_17_21_01226) T_0) ### NotAnd 1 24 % 11.23/11.41 26. (-. (Ex Y, ((rrx3 (i2003_11_14_17_21_01226) Y) /\ (ca_Ax2 Y)))) (rrx3 (i2003_11_14_17_21_01226) T_0) (All A, (All B, (((A = B) /\ (cc2 A)) => (cc2 B)))) (cc2 T_1) (rrx4 (i2003_11_14_17_21_01226) T_1) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) (cc1 T_0) ### NotExists 25 % 11.23/11.41 27. (-. (ca_Cx1xcomp (i2003_11_14_17_21_01226))) (ca_Cx1xcomp (i2003_11_14_17_21_01226)) ### Axiom % 11.23/11.41 28. ((ca_Cx1xcomp (i2003_11_14_17_21_01226)) <=> (Ex Y, ((rrx3 (i2003_11_14_17_21_01226) Y) /\ (ca_Ax2 Y)))) (-. (ca_Cx1xcomp (i2003_11_14_17_21_01226))) (cc1 T_0) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (rrx4 (i2003_11_14_17_21_01226) T_1) (cc2 T_1) (All A, (All B, (((A = B) /\ (cc2 A)) => (cc2 B)))) (rrx3 (i2003_11_14_17_21_01226) T_0) ### Equiv 26 27 % 11.23/11.41 29. (All X, ((ca_Cx1xcomp X) <=> (Ex Y, ((rrx3 X Y) /\ (ca_Ax2 Y))))) (rrx3 (i2003_11_14_17_21_01226) T_0) (All A, (All B, (((A = B) /\ (cc2 A)) => (cc2 B)))) (cc2 T_1) (rrx4 (i2003_11_14_17_21_01226) T_1) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) (cc1 T_0) (-. (ca_Cx1xcomp (i2003_11_14_17_21_01226))) ### All 28 % 11.23/11.41 30. (Ex Y0, (ra_Px1 (i2003_11_14_17_21_01226) Y0)) (-. (Ex Y0, (ra_Px1 (i2003_11_14_17_21_01226) Y0))) ### Axiom % 11.23/11.41 31. ((ca_Cx1xcomp (i2003_11_14_17_21_01226)) <=> (-. (Ex Y0, (ra_Px1 (i2003_11_14_17_21_01226) Y0)))) (Ex Y0, (ra_Px1 (i2003_11_14_17_21_01226) Y0)) (cc1 T_0) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (rrx4 (i2003_11_14_17_21_01226) T_1) (cc2 T_1) (All A, (All B, (((A = B) /\ (cc2 A)) => (cc2 B)))) (rrx3 (i2003_11_14_17_21_01226) T_0) (All X, ((ca_Cx1xcomp X) <=> (Ex Y, ((rrx3 X Y) /\ (ca_Ax2 Y))))) ### Equiv 29 30 % 11.23/11.41 32. (All X, ((ca_Cx1xcomp X) <=> (-. (Ex Y0, (ra_Px1 X Y0))))) (All X, ((ca_Cx1xcomp X) <=> (Ex Y, ((rrx3 X Y) /\ (ca_Ax2 Y))))) (rrx3 (i2003_11_14_17_21_01226) T_0) (All A, (All B, (((A = B) /\ (cc2 A)) => (cc2 B)))) (cc2 T_1) (rrx4 (i2003_11_14_17_21_01226) T_1) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) (cc1 T_0) (Ex Y0, (ra_Px1 (i2003_11_14_17_21_01226) Y0)) ### All 31 % 11.23/11.41 33. (ca_Cx1 (i2003_11_14_17_21_01226)) (cc1 T_0) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (rrx4 (i2003_11_14_17_21_01226) T_1) (cc2 T_1) (All A, (All B, (((A = B) /\ (cc2 A)) => (cc2 B)))) (rrx3 (i2003_11_14_17_21_01226) T_0) (All X, ((ca_Cx1xcomp X) <=> (Ex Y, ((rrx3 X Y) /\ (ca_Ax2 Y))))) (All X, ((ca_Cx1xcomp X) <=> (-. (Ex Y0, (ra_Px1 X Y0))))) ### Definition-Pseudo(ca_Cx1) 32 % 11.23/11.41 34. ((rrx4 (i2003_11_14_17_21_01226) T_1) /\ (cc2 T_1)) (All X, ((ca_Cx1xcomp X) <=> (-. (Ex Y0, (ra_Px1 X Y0))))) (All X, ((ca_Cx1xcomp X) <=> (Ex Y, ((rrx3 X Y) /\ (ca_Ax2 Y))))) (rrx3 (i2003_11_14_17_21_01226) T_0) (All A, (All B, (((A = B) /\ (cc2 A)) => (cc2 B)))) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) (cc1 T_0) (ca_Cx1 (i2003_11_14_17_21_01226)) ### And 33 % 11.23/11.41 35. (Ex Y, ((rrx4 (i2003_11_14_17_21_01226) Y) /\ (cc2 Y))) (ca_Cx1 (i2003_11_14_17_21_01226)) (cc1 T_0) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (All A, (All B, (((A = B) /\ (cc2 A)) => (cc2 B)))) (rrx3 (i2003_11_14_17_21_01226) T_0) (All X, ((ca_Cx1xcomp X) <=> (Ex Y, ((rrx3 X Y) /\ (ca_Ax2 Y))))) (All X, ((ca_Cx1xcomp X) <=> (-. (Ex Y0, (ra_Px1 X Y0))))) ### Exists 34 % 11.23/11.41 36. ((rrx3 (i2003_11_14_17_21_01226) T_0) /\ (cc1 T_0)) (All X, ((ca_Cx1xcomp X) <=> (-. (Ex Y0, (ra_Px1 X Y0))))) (All X, ((ca_Cx1xcomp X) <=> (Ex Y, ((rrx3 X Y) /\ (ca_Ax2 Y))))) (All A, (All B, (((A = B) /\ (cc2 A)) => (cc2 B)))) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) (ca_Cx1 (i2003_11_14_17_21_01226)) (Ex Y, ((rrx4 (i2003_11_14_17_21_01226) Y) /\ (cc2 Y))) ### And 35 % 11.23/11.41 37. (Ex Y, ((rrx3 (i2003_11_14_17_21_01226) Y) /\ (cc1 Y))) (Ex Y, ((rrx4 (i2003_11_14_17_21_01226) Y) /\ (cc2 Y))) (ca_Cx1 (i2003_11_14_17_21_01226)) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (All A, (All B, (((A = B) /\ (cc2 A)) => (cc2 B)))) (All X, ((ca_Cx1xcomp X) <=> (Ex Y, ((rrx3 X Y) /\ (ca_Ax2 Y))))) (All X, ((ca_Cx1xcomp X) <=> (-. (Ex Y0, (ra_Px1 X Y0))))) ### Exists 36 % 11.23/11.41 38. ((Ex Y, ((rrx3 (i2003_11_14_17_21_01226) Y) /\ (cc1 Y))) /\ ((Ex Y, ((rrx4 (i2003_11_14_17_21_01226) Y) /\ (cc2 Y))) /\ (ca_Cx1 (i2003_11_14_17_21_01226)))) (All X, ((ca_Cx1xcomp X) <=> (-. (Ex Y0, (ra_Px1 X Y0))))) (All X, ((ca_Cx1xcomp X) <=> (Ex Y, ((rrx3 X Y) /\ (ca_Ax2 Y))))) (All A, (All B, (((A = B) /\ (cc2 A)) => (cc2 B)))) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) ### ConjTree 37 % 11.23/11.42 39. (cUnsatisfiable (i2003_11_14_17_21_01226)) (All X, (All Y, (All Z, (((rrx X Y) /\ (rrx X Z)) => (Y = Z))))) (All X, (All Y, ((rrx3 X Y) => (rrx X Y)))) (All X, (All Y, ((rrx4 X Y) => (rrx X Y)))) (All A, (All B, (((A = B) /\ (cc2 A)) => (cc2 B)))) (All X, ((ca_Cx1xcomp X) <=> (Ex Y, ((rrx3 X Y) /\ (ca_Ax2 Y))))) (All X, ((ca_Cx1xcomp X) <=> (-. (Ex Y0, (ra_Px1 X Y0))))) ### Definition-Pseudo(cUnsatisfiable) 38 % 11.23/11.42 % SZS output end Proof % 11.23/11.42 (* END-PROOF *) %------------------------------------------------------------------------------