%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS120+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 : n028.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 03:31:57 EDT 2022 % Result : Unsatisfiable 6.15s 6.36s % Output : Proof 6.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS120+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 : n028.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 17:13:30 EDT 2022 % 0.12/0.33 % CPUTime : % 6.15/6.36 % SZS status Theorem % 6.15/6.36 (* PROOF-FOUND *) % 6.15/6.36 (* BEGIN-PROOF *) % 6.15/6.36 % SZS output start Proof % 6.15/6.36 1. (-. (cowlThing T_0)) (cowlThing T_0) ### Axiom % 6.15/6.36 2. ((cowlThing T_0) /\ (-. (cowlNothing T_0))) (-. (cowlThing T_0)) ### And 1 % 6.15/6.36 3. (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (-. (cowlThing T_0)) ### All 2 % 6.15/6.36 4. (rf T_0 T_1) (-. (rf T_0 T_1)) ### Axiom % 6.15/6.36 5. (rf T_0 T_2) (-. (rf T_0 T_2)) ### Axiom % 6.15/6.36 6. (T_1 = T_2) (T_2 != T_1) ### Sym(=) % 6.15/6.36 7. (ra_Px1 T_2 T_3) (-. (ra_Px1 T_2 T_3)) ### Axiom % 6.15/6.36 8. (-. (ra_Px1 T_1 T_3)) (ra_Px1 T_1 T_3) ### Axiom % 6.15/6.36 9. (((T_2 = T_1) /\ (ra_Px1 T_2 T_3)) => (ra_Px1 T_1 T_3)) (-. (ra_Px1 T_1 T_3)) (ra_Px1 T_2 T_3) (T_1 = T_2) ### DisjTree 6 7 8 % 6.15/6.36 10. (All C, (((T_2 = T_1) /\ (ra_Px1 T_2 C)) => (ra_Px1 T_1 C))) (T_1 = T_2) (ra_Px1 T_2 T_3) (-. (ra_Px1 T_1 T_3)) ### All 9 % 6.15/6.36 11. (All B, (All C, (((T_2 = B) /\ (ra_Px1 T_2 C)) => (ra_Px1 B C)))) (-. (ra_Px1 T_1 T_3)) (ra_Px1 T_2 T_3) (T_1 = T_2) ### All 10 % 6.15/6.36 12. (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (T_1 = T_2) (ra_Px1 T_2 T_3) (-. (ra_Px1 T_1 T_3)) ### All 11 % 6.15/6.36 13. (((rf T_0 T_1) /\ (rf T_0 T_2)) => (T_1 = T_2)) (-. (ra_Px1 T_1 T_3)) (ra_Px1 T_2 T_3) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (rf T_0 T_2) (rf T_0 T_1) ### DisjTree 4 5 12 % 6.15/6.36 14. (All Y1, (((rf T_0 T_1) /\ (rf T_0 Y1)) => (T_1 = Y1))) (rf T_0 T_1) (rf T_0 T_2) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (ra_Px1 T_2 T_3) (-. (ra_Px1 T_1 T_3)) ### All 13 % 6.15/6.36 15. (-. (Ex Y, (ra_Px1 T_1 Y))) (ra_Px1 T_2 T_3) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (rf T_0 T_2) (rf T_0 T_1) (All Y1, (((rf T_0 T_1) /\ (rf T_0 Y1)) => (T_1 = Y1))) ### NotExists 14 % 6.15/6.36 16. (All Y0, (All Y1, (((rf T_0 Y0) /\ (rf T_0 Y1)) => (Y0 = Y1)))) (rf T_0 T_1) (rf T_0 T_2) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (ra_Px1 T_2 T_3) (-. (Ex Y, (ra_Px1 T_1 Y))) ### All 15 % 6.15/6.36 17. ((cowlThing T_0) => (All Y0, (All Y1, (((rf T_0 Y0) /\ (rf T_0 Y1)) => (Y0 = Y1))))) (-. (Ex Y, (ra_Px1 T_1 Y))) (ra_Px1 T_2 T_3) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (rf T_0 T_2) (rf T_0 T_1) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) ### Imply 3 16 % 6.15/6.36 18. (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (rf T_0 T_1) (rf T_0 T_2) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (ra_Px1 T_2 T_3) (-. (Ex Y, (ra_Px1 T_1 Y))) ### All 17 % 6.15/6.36 19. (cp1 T_1) (ra_Px1 T_2 T_3) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (rf T_0 T_2) (rf T_0 T_1) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) ### Definition-Pseudo(cp1) 18 % 6.15/6.36 20. (Ex Y, (ra_Px1 T_2 Y)) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (rf T_0 T_1) (rf T_0 T_2) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (cp1 T_1) ### Exists 19 % 6.15/6.36 21. (cp1xcomp T_2) (cp1 T_1) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (rf T_0 T_2) (rf T_0 T_1) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) ### Definition-Pseudo(cp1xcomp) 20 % 6.15/6.36 22. ((rf T_0 T_2) /\ (cp1xcomp T_2)) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (rf T_0 T_1) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (cp1 T_1) ### And 21 % 6.15/6.36 23. (Ex Y, ((rf T_0 Y) /\ (cp1xcomp Y))) (cp1 T_1) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (rf T_0 T_1) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) ### Exists 22 % 6.15/6.36 24. (ca_Vx3 T_0) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (rf T_0 T_1) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (cp1 T_1) ### Definition-Pseudo(ca_Vx3) 23 % 6.15/6.36 25. (rinvF T_1 T_0) (cp1 T_1) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) (ca_Vx3 T_0) ### Definition-Pseudo(rinvF) 24 % 6.15/6.36 26. ((rinvF T_1 T_0) /\ (ca_Vx3 T_0)) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (cp1 T_1) ### And 25 % 6.15/6.36 27. (Ex Y, ((rinvF T_1 Y) /\ (ca_Vx3 Y))) (cp1 T_1) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) ### Exists 26 % 6.15/6.36 28. ((Ex Y, ((rinvF T_1 Y) /\ (ca_Vx3 Y))) /\ (cp1 T_1)) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) ### And 27 % 6.15/6.36 29. (ca_Ax2 T_1) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) ### Definition-Pseudo(ca_Ax2) 28 % 6.15/6.36 30. ((rf (i2003_11_14_17_21_48796) T_1) /\ (ca_Ax2 T_1)) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) ### And 29 % 6.15/6.36 31. (Ex Y, ((rf (i2003_11_14_17_21_48796) Y) /\ (ca_Ax2 Y))) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) ### Exists 30 % 6.15/6.36 32. (cUnsatisfiable (i2003_11_14_17_21_48796)) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf X Y0) /\ (rf X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All A, (All B, (All C, (((A = B) /\ (ra_Px1 A C)) => (ra_Px1 B C))))) ### Definition-Pseudo(cUnsatisfiable) 31 % 6.15/6.36 % SZS output end Proof % 6.15/6.36 (* END-PROOF *) %------------------------------------------------------------------------------