%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS113+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 : n017.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 03:31:56 EDT 2022 % Result : Unsatisfiable 7.52s 7.74s % Output : Proof 7.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KRS113+1 : TPTP v8.1.0. Released v3.1.0. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n017.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jun 7 10:18:47 EDT 2022 % 0.12/0.33 % CPUTime : % 7.52/7.74 % SZS status Theorem % 7.52/7.74 (* PROOF-FOUND *) % 7.52/7.74 (* BEGIN-PROOF *) % 7.52/7.74 % SZS output start Proof % 7.52/7.74 1. (rr (i2003_11_14_17_21_22376) T_0) (-. (rr (i2003_11_14_17_21_22376) T_0)) ### Axiom % 7.52/7.74 2. (rs (i2003_11_14_17_21_22376) T_1) (-. (rs (i2003_11_14_17_21_22376) T_1)) ### Axiom % 7.52/7.74 3. (-. (rr (i2003_11_14_17_21_22376) T_1)) (rr (i2003_11_14_17_21_22376) T_1) ### Axiom % 7.52/7.74 4. ((rs (i2003_11_14_17_21_22376) T_1) => (rr (i2003_11_14_17_21_22376) T_1)) (-. (rr (i2003_11_14_17_21_22376) T_1)) (rs (i2003_11_14_17_21_22376) T_1) ### Imply 2 3 % 7.52/7.74 5. (All Y, ((rs (i2003_11_14_17_21_22376) Y) => (rr (i2003_11_14_17_21_22376) Y))) (rs (i2003_11_14_17_21_22376) T_1) (-. (rr (i2003_11_14_17_21_22376) T_1)) ### All 4 % 7.52/7.74 6. (All X, (All Y, ((rs X Y) => (rr X Y)))) (-. (rr (i2003_11_14_17_21_22376) T_1)) (rs (i2003_11_14_17_21_22376) T_1) ### All 5 % 7.52/7.74 7. (T_0 = T_1) (T_1 != T_0) ### Sym(=) % 7.52/7.74 8. (rs (i2003_11_14_17_21_22376) T_1) (-. (rs (i2003_11_14_17_21_22376) T_1)) ### Axiom % 7.52/7.74 9. (-. (rinvS T_1 (i2003_11_14_17_21_22376))) (rs (i2003_11_14_17_21_22376) T_1) ### Definition-Pseudo(rinvS) 8 % 7.52/7.74 10. (-. (rs (i2003_11_14_17_21_22376) T_0)) (rs (i2003_11_14_17_21_22376) T_0) ### Axiom % 7.52/7.74 11. (rinvS T_0 (i2003_11_14_17_21_22376)) (-. (rs (i2003_11_14_17_21_22376) T_0)) ### Definition-Pseudo(rinvS) 10 % 7.52/7.74 12. (((T_1 = T_0) /\ (rinvS T_1 (i2003_11_14_17_21_22376))) => (rinvS T_0 (i2003_11_14_17_21_22376))) (-. (rs (i2003_11_14_17_21_22376) T_0)) (rs (i2003_11_14_17_21_22376) T_1) (T_0 = T_1) ### DisjTree 7 9 11 % 7.52/7.74 13. (All C, (((T_1 = T_0) /\ (rinvS T_1 C)) => (rinvS T_0 C))) (T_0 = T_1) (rs (i2003_11_14_17_21_22376) T_1) (-. (rs (i2003_11_14_17_21_22376) T_0)) ### All 12 % 7.52/7.74 14. (((rr (i2003_11_14_17_21_22376) T_0) /\ (rr (i2003_11_14_17_21_22376) T_1)) => (T_0 = T_1)) (-. (rs (i2003_11_14_17_21_22376) T_0)) (All C, (((T_1 = T_0) /\ (rinvS T_1 C)) => (rinvS T_0 C))) (rs (i2003_11_14_17_21_22376) T_1) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_21_22376) T_0) ### DisjTree 1 6 13 % 7.52/7.74 15. (All Y1, (((rr (i2003_11_14_17_21_22376) T_0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (T_0 = Y1))) (rr (i2003_11_14_17_21_22376) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rs (i2003_11_14_17_21_22376) T_1) (All C, (((T_1 = T_0) /\ (rinvS T_1 C)) => (rinvS T_0 C))) (-. (rs (i2003_11_14_17_21_22376) T_0)) ### All 14 % 7.52/7.74 16. (All B, (All C, (((T_1 = B) /\ (rinvS T_1 C)) => (rinvS B C)))) (-. (rs (i2003_11_14_17_21_22376) T_0)) (rs (i2003_11_14_17_21_22376) T_1) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_21_22376) T_0) (All Y1, (((rr (i2003_11_14_17_21_22376) T_0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (T_0 = Y1))) ### All 15 % 7.52/7.74 17. (-. (rinvS T_0 (i2003_11_14_17_21_22376))) (All Y1, (((rr (i2003_11_14_17_21_22376) T_0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (T_0 = Y1))) (rr (i2003_11_14_17_21_22376) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rs (i2003_11_14_17_21_22376) T_1) (All B, (All C, (((T_1 = B) /\ (rinvS T_1 C)) => (rinvS B C)))) ### Definition-Pseudo(rinvS) 16 % 7.52/7.74 18. (Ex Y, (ra_Px1 (i2003_11_14_17_21_22376) Y)) (-. (Ex Y, (ra_Px1 (i2003_11_14_17_21_22376) Y))) ### Axiom % 7.52/7.74 19. (cp (i2003_11_14_17_21_22376)) (Ex Y, (ra_Px1 (i2003_11_14_17_21_22376) Y)) ### Definition-Pseudo(cp) 18 % 7.52/7.74 20. ((rinvS T_0 (i2003_11_14_17_21_22376)) => (cp (i2003_11_14_17_21_22376))) (Ex Y, (ra_Px1 (i2003_11_14_17_21_22376) Y)) (All B, (All C, (((T_1 = B) /\ (rinvS T_1 C)) => (rinvS B C)))) (rs (i2003_11_14_17_21_22376) T_1) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_21_22376) T_0) (All Y1, (((rr (i2003_11_14_17_21_22376) T_0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (T_0 = Y1))) ### Imply 17 19 % 7.52/7.74 21. (All Y, ((rinvS T_0 Y) => (cp Y))) (All Y1, (((rr (i2003_11_14_17_21_22376) T_0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (T_0 = Y1))) (rr (i2003_11_14_17_21_22376) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rs (i2003_11_14_17_21_22376) T_1) (All B, (All C, (((T_1 = B) /\ (rinvS T_1 C)) => (rinvS B C)))) (Ex Y, (ra_Px1 (i2003_11_14_17_21_22376) Y)) ### All 20 % 7.52/7.74 22. (All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) (Ex Y, (ra_Px1 (i2003_11_14_17_21_22376) Y)) (All B, (All C, (((T_1 = B) /\ (rinvS T_1 C)) => (rinvS B C)))) (rs (i2003_11_14_17_21_22376) T_1) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_21_22376) T_0) (All Y, ((rinvS T_0 Y) => (cp Y))) ### All 21 % 7.52/7.74 23. (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (All Y, ((rinvS T_0 Y) => (cp Y))) (rr (i2003_11_14_17_21_22376) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rs (i2003_11_14_17_21_22376) T_1) (Ex Y, (ra_Px1 (i2003_11_14_17_21_22376) Y)) (All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) ### All 22 % 7.52/7.74 24. (cpxcomp (i2003_11_14_17_21_22376)) (All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) (rs (i2003_11_14_17_21_22376) T_1) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_21_22376) T_0) (All Y, ((rinvS T_0 Y) => (cp Y))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) ### Definition-Pseudo(cpxcomp) 23 % 7.52/7.74 25. ((rs (i2003_11_14_17_21_22376) T_1) /\ (cp T_1)) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (All Y, ((rinvS T_0 Y) => (cp Y))) (rr (i2003_11_14_17_21_22376) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) (cpxcomp (i2003_11_14_17_21_22376)) ### And 24 % 7.52/7.74 26. (Ex Y, ((rs (i2003_11_14_17_21_22376) Y) /\ (cp Y))) (cpxcomp (i2003_11_14_17_21_22376)) (All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_21_22376) T_0) (All Y, ((rinvS T_0 Y) => (cp Y))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) ### Exists 25 % 7.52/7.74 27. (ca_Vx2 T_0) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (rr (i2003_11_14_17_21_22376) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) (cpxcomp (i2003_11_14_17_21_22376)) (Ex Y, ((rs (i2003_11_14_17_21_22376) Y) /\ (cp Y))) ### Definition-Pseudo(ca_Vx2) 26 % 7.52/7.74 28. ((rr (i2003_11_14_17_21_22376) T_0) /\ (ca_Vx2 T_0)) (Ex Y, ((rs (i2003_11_14_17_21_22376) Y) /\ (cp Y))) (cpxcomp (i2003_11_14_17_21_22376)) (All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) (All X, (All Y, ((rs X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) ### And 27 % 7.52/7.74 29. (Ex Y, ((rr (i2003_11_14_17_21_22376) Y) /\ (ca_Vx2 Y))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (All X, (All Y, ((rs X Y) => (rr X Y)))) (All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) (cpxcomp (i2003_11_14_17_21_22376)) (Ex Y, ((rs (i2003_11_14_17_21_22376) Y) /\ (cp Y))) ### Exists 28 % 7.52/7.74 30. ((All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) /\ ((Ex Y, ((rr (i2003_11_14_17_21_22376) Y) /\ (ca_Vx2 Y))) /\ ((Ex Y, ((rs (i2003_11_14_17_21_22376) Y) /\ (cp Y))) /\ (cpxcomp (i2003_11_14_17_21_22376))))) (All X, (All Y, ((rs X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) ### ConjTree 29 % 7.52/7.74 31. (cUnsatisfiable (i2003_11_14_17_21_22376)) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (All X, (All Y, ((rs X Y) => (rr X Y)))) ### Definition-Pseudo(cUnsatisfiable) 30 % 7.52/7.74 % SZS output end Proof % 7.52/7.74 (* END-PROOF *) %------------------------------------------------------------------------------