%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS079+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 03:31:50 EDT 2022 % Result : Unsatisfiable 26.90s 27.09s % Output : Proof 26.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS079+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n022.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jun 7 18:50:50 EDT 2022 % 0.12/0.34 % CPUTime : % 26.90/27.09 % SZS status Theorem % 26.90/27.09 (* PROOF-FOUND *) % 26.90/27.09 (* BEGIN-PROOF *) % 26.90/27.09 % SZS output start Proof % 26.90/27.09 1. (-. (cowlThing (i2003_11_14_17_19_17492))) (cowlThing (i2003_11_14_17_19_17492)) ### Axiom % 26.90/27.09 2. ((cowlThing (i2003_11_14_17_19_17492)) /\ (-. (cowlNothing (i2003_11_14_17_19_17492)))) (-. (cowlThing (i2003_11_14_17_19_17492))) ### And 1 % 26.90/27.09 3. (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (-. (cowlThing (i2003_11_14_17_19_17492))) ### All 2 % 26.90/27.09 4. (rr (i2003_11_14_17_19_17492) T_0) (-. (rr (i2003_11_14_17_19_17492) T_0)) ### Axiom % 26.90/27.09 5. (-. (rf2 (i2003_11_14_17_19_17492) T_0)) (rf2 (i2003_11_14_17_19_17492) T_0) ### Axiom % 26.90/27.09 6. ((rr (i2003_11_14_17_19_17492) T_0) => (rf2 (i2003_11_14_17_19_17492) T_0)) (-. (rf2 (i2003_11_14_17_19_17492) T_0)) (rr (i2003_11_14_17_19_17492) T_0) ### Imply 4 5 % 26.90/27.09 7. (All Y, ((rr (i2003_11_14_17_19_17492) Y) => (rf2 (i2003_11_14_17_19_17492) Y))) (rr (i2003_11_14_17_19_17492) T_0) (-. (rf2 (i2003_11_14_17_19_17492) T_0)) ### All 6 % 26.90/27.09 8. (All X, (All Y, ((rr X Y) => (rf2 X Y)))) (-. (rf2 (i2003_11_14_17_19_17492) T_0)) (rr (i2003_11_14_17_19_17492) T_0) ### All 7 % 26.90/27.09 9. (rf2 (i2003_11_14_17_19_17492) T_1) (-. (rf2 (i2003_11_14_17_19_17492) T_1)) ### Axiom % 26.90/27.09 10. (rf1 (i2003_11_14_17_19_17492) T_2) (-. (rf1 (i2003_11_14_17_19_17492) T_2)) ### Axiom % 26.90/27.09 11. (rr (i2003_11_14_17_19_17492) T_0) (-. (rr (i2003_11_14_17_19_17492) T_0)) ### Axiom % 26.90/27.09 12. (-. (rf1 (i2003_11_14_17_19_17492) T_0)) (rf1 (i2003_11_14_17_19_17492) T_0) ### Axiom % 26.90/27.09 13. ((rr (i2003_11_14_17_19_17492) T_0) => (rf1 (i2003_11_14_17_19_17492) T_0)) (-. (rf1 (i2003_11_14_17_19_17492) T_0)) (rr (i2003_11_14_17_19_17492) T_0) ### Imply 11 12 % 26.90/27.09 14. (All Y, ((rr (i2003_11_14_17_19_17492) Y) => (rf1 (i2003_11_14_17_19_17492) Y))) (rr (i2003_11_14_17_19_17492) T_0) (-. (rf1 (i2003_11_14_17_19_17492) T_0)) ### All 13 % 26.90/27.09 15. (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (-. (rf1 (i2003_11_14_17_19_17492) T_0)) (rr (i2003_11_14_17_19_17492) T_0) ### All 14 % 26.90/27.09 16. (T_2 = T_0) (T_2 != T_0) ### Axiom % 26.90/27.09 17. (cp1 T_2) (-. (cp1 T_2)) ### Axiom % 26.90/27.09 18. (-. (cp1 T_0)) (cp1 T_0) ### Axiom % 26.90/27.09 19. (((T_2 = T_0) /\ (cp1 T_2)) => (cp1 T_0)) (-. (cp1 T_0)) (cp1 T_2) (T_2 = T_0) ### DisjTree 16 17 18 % 26.90/27.09 20. (All B, (((T_2 = B) /\ (cp1 T_2)) => (cp1 B))) (T_2 = T_0) (cp1 T_2) (-. (cp1 T_0)) ### All 19 % 26.90/27.09 21. (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (-. (cp1 T_0)) (cp1 T_2) (T_2 = T_0) ### All 20 % 26.90/27.09 22. (T_0 = T_1) (T_1 != T_0) ### Sym(=) % 26.90/27.09 23. (cp2 T_1) (-. (cp2 T_1)) ### Axiom % 26.90/27.09 24. (-. (cp2 T_0)) (cp2 T_0) ### Axiom % 26.90/27.09 25. (((T_1 = T_0) /\ (cp2 T_1)) => (cp2 T_0)) (-. (cp2 T_0)) (cp2 T_1) (T_0 = T_1) ### DisjTree 22 23 24 % 26.90/27.09 26. (All B, (((T_1 = B) /\ (cp2 T_1)) => (cp2 B))) (T_0 = T_1) (cp2 T_1) (-. (cp2 T_0)) ### All 25 % 26.90/27.09 27. (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (-. (cp2 T_0)) (cp2 T_1) (T_0 = T_1) ### All 26 % 26.90/27.09 28. ((cp1 T_0) => (-. (cp2 T_0))) (T_0 = T_1) (cp2 T_1) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (T_2 = T_0) (cp1 T_2) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) ### Imply 21 27 % 26.90/27.09 29. (All X, ((cp1 X) => (-. (cp2 X)))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (cp1 T_2) (T_2 = T_0) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp2 T_1) (T_0 = T_1) ### All 28 % 26.90/27.09 30. (((rf1 (i2003_11_14_17_19_17492) T_2) /\ (rf1 (i2003_11_14_17_19_17492) T_0)) => (T_2 = T_0)) (T_0 = T_1) (cp2 T_1) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp1 T_2) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All X, ((cp1 X) => (-. (cp2 X)))) (rr (i2003_11_14_17_19_17492) T_0) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (rf1 (i2003_11_14_17_19_17492) T_2) ### DisjTree 10 15 29 % 26.90/27.09 31. (All Y1, (((rf1 (i2003_11_14_17_19_17492) T_2) /\ (rf1 (i2003_11_14_17_19_17492) Y1)) => (T_2 = Y1))) (rf1 (i2003_11_14_17_19_17492) T_2) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (rr (i2003_11_14_17_19_17492) T_0) (All X, ((cp1 X) => (-. (cp2 X)))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (cp1 T_2) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp2 T_1) (T_0 = T_1) ### All 30 % 26.90/27.09 32. (((rf2 (i2003_11_14_17_19_17492) T_0) /\ (rf2 (i2003_11_14_17_19_17492) T_1)) => (T_0 = T_1)) (cp2 T_1) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp1 T_2) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All X, ((cp1 X) => (-. (cp2 X)))) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (rf1 (i2003_11_14_17_19_17492) T_2) (All Y1, (((rf1 (i2003_11_14_17_19_17492) T_2) /\ (rf1 (i2003_11_14_17_19_17492) Y1)) => (T_2 = Y1))) (rf2 (i2003_11_14_17_19_17492) T_1) (rr (i2003_11_14_17_19_17492) T_0) (All X, (All Y, ((rr X Y) => (rf2 X Y)))) ### DisjTree 8 9 31 % 26.90/27.09 33. (All Y1, (((rf2 (i2003_11_14_17_19_17492) T_0) /\ (rf2 (i2003_11_14_17_19_17492) Y1)) => (T_0 = Y1))) (All X, (All Y, ((rr X Y) => (rf2 X Y)))) (rr (i2003_11_14_17_19_17492) T_0) (rf2 (i2003_11_14_17_19_17492) T_1) (All Y1, (((rf1 (i2003_11_14_17_19_17492) T_2) /\ (rf1 (i2003_11_14_17_19_17492) Y1)) => (T_2 = Y1))) (rf1 (i2003_11_14_17_19_17492) T_2) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (All X, ((cp1 X) => (-. (cp2 X)))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (cp1 T_2) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp2 T_1) ### All 32 % 26.90/27.09 34. (All Y0, (All Y1, (((rf1 (i2003_11_14_17_19_17492) Y0) /\ (rf1 (i2003_11_14_17_19_17492) Y1)) => (Y0 = Y1)))) (cp2 T_1) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp1 T_2) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All X, ((cp1 X) => (-. (cp2 X)))) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (rf1 (i2003_11_14_17_19_17492) T_2) (rf2 (i2003_11_14_17_19_17492) T_1) (rr (i2003_11_14_17_19_17492) T_0) (All X, (All Y, ((rr X Y) => (rf2 X Y)))) (All Y1, (((rf2 (i2003_11_14_17_19_17492) T_0) /\ (rf2 (i2003_11_14_17_19_17492) Y1)) => (T_0 = Y1))) ### All 33 % 26.90/27.09 35. (All Y0, (All Y1, (((rf2 (i2003_11_14_17_19_17492) Y0) /\ (rf2 (i2003_11_14_17_19_17492) Y1)) => (Y0 = Y1)))) (All X, (All Y, ((rr X Y) => (rf2 X Y)))) (rr (i2003_11_14_17_19_17492) T_0) (rf2 (i2003_11_14_17_19_17492) T_1) (rf1 (i2003_11_14_17_19_17492) T_2) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (All X, ((cp1 X) => (-. (cp2 X)))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (cp1 T_2) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp2 T_1) (All Y0, (All Y1, (((rf1 (i2003_11_14_17_19_17492) Y0) /\ (rf1 (i2003_11_14_17_19_17492) Y1)) => (Y0 = Y1)))) ### All 34 % 26.90/27.09 36. ((cowlThing (i2003_11_14_17_19_17492)) => (All Y0, (All Y1, (((rf1 (i2003_11_14_17_19_17492) Y0) /\ (rf1 (i2003_11_14_17_19_17492) Y1)) => (Y0 = Y1))))) (cp2 T_1) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp1 T_2) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All X, ((cp1 X) => (-. (cp2 X)))) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (rf1 (i2003_11_14_17_19_17492) T_2) (rf2 (i2003_11_14_17_19_17492) T_1) (rr (i2003_11_14_17_19_17492) T_0) (All X, (All Y, ((rr X Y) => (rf2 X Y)))) (All Y0, (All Y1, (((rf2 (i2003_11_14_17_19_17492) Y0) /\ (rf2 (i2003_11_14_17_19_17492) Y1)) => (Y0 = Y1)))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) ### Imply 3 35 % 26.90/27.09 37. (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf1 X Y0) /\ (rf1 X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All Y0, (All Y1, (((rf2 (i2003_11_14_17_19_17492) Y0) /\ (rf2 (i2003_11_14_17_19_17492) Y1)) => (Y0 = Y1)))) (All X, (All Y, ((rr X Y) => (rf2 X Y)))) (rr (i2003_11_14_17_19_17492) T_0) (rf2 (i2003_11_14_17_19_17492) T_1) (rf1 (i2003_11_14_17_19_17492) T_2) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (All X, ((cp1 X) => (-. (cp2 X)))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (cp1 T_2) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp2 T_1) ### All 36 % 26.90/27.09 38. ((cowlThing (i2003_11_14_17_19_17492)) => (All Y0, (All Y1, (((rf2 (i2003_11_14_17_19_17492) Y0) /\ (rf2 (i2003_11_14_17_19_17492) Y1)) => (Y0 = Y1))))) (cp2 T_1) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp1 T_2) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All X, ((cp1 X) => (-. (cp2 X)))) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (rf1 (i2003_11_14_17_19_17492) T_2) (rf2 (i2003_11_14_17_19_17492) T_1) (rr (i2003_11_14_17_19_17492) T_0) (All X, (All Y, ((rr X Y) => (rf2 X Y)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf1 X Y0) /\ (rf1 X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) ### Imply 3 37 % 26.90/27.10 39. (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf2 X Y0) /\ (rf2 X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf1 X Y0) /\ (rf1 X Y1)) => (Y0 = Y1)))))) (All X, (All Y, ((rr X Y) => (rf2 X Y)))) (rr (i2003_11_14_17_19_17492) T_0) (rf2 (i2003_11_14_17_19_17492) T_1) (rf1 (i2003_11_14_17_19_17492) T_2) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (All X, ((cp1 X) => (-. (cp2 X)))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (cp1 T_2) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp2 T_1) ### All 38 % 26.90/27.10 40. ((rr (i2003_11_14_17_19_17492) T_0) /\ (cowlThing T_0)) (cp2 T_1) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp1 T_2) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All X, ((cp1 X) => (-. (cp2 X)))) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (rf1 (i2003_11_14_17_19_17492) T_2) (rf2 (i2003_11_14_17_19_17492) T_1) (All X, (All Y, ((rr X Y) => (rf2 X Y)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf1 X Y0) /\ (rf1 X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf2 X Y0) /\ (rf2 X Y1)) => (Y0 = Y1)))))) ### And 39 % 26.90/27.10 41. (Ex Y, ((rr (i2003_11_14_17_19_17492) Y) /\ (cowlThing Y))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf2 X Y0) /\ (rf2 X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf1 X Y0) /\ (rf1 X Y1)) => (Y0 = Y1)))))) (All X, (All Y, ((rr X Y) => (rf2 X Y)))) (rf2 (i2003_11_14_17_19_17492) T_1) (rf1 (i2003_11_14_17_19_17492) T_2) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (All X, ((cp1 X) => (-. (cp2 X)))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (cp1 T_2) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp2 T_1) ### Exists 40 % 26.90/27.10 42. ((rf1 (i2003_11_14_17_19_17492) T_2) /\ (cp1 T_2)) (cp2 T_1) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All X, ((cp1 X) => (-. (cp2 X)))) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (rf2 (i2003_11_14_17_19_17492) T_1) (All X, (All Y, ((rr X Y) => (rf2 X Y)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf1 X Y0) /\ (rf1 X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf2 X Y0) /\ (rf2 X Y1)) => (Y0 = Y1)))))) (Ex Y, ((rr (i2003_11_14_17_19_17492) Y) /\ (cowlThing Y))) ### And 41 % 26.90/27.10 43. (Ex Y, ((rf1 (i2003_11_14_17_19_17492) Y) /\ (cp1 Y))) (Ex Y, ((rr (i2003_11_14_17_19_17492) Y) /\ (cowlThing Y))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf2 X Y0) /\ (rf2 X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf1 X Y0) /\ (rf1 X Y1)) => (Y0 = Y1)))))) (All X, (All Y, ((rr X Y) => (rf2 X Y)))) (rf2 (i2003_11_14_17_19_17492) T_1) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (All X, ((cp1 X) => (-. (cp2 X)))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp2 T_1) ### Exists 42 % 26.90/27.10 44. ((rf2 (i2003_11_14_17_19_17492) T_1) /\ (cp2 T_1)) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All X, ((cp1 X) => (-. (cp2 X)))) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (All X, (All Y, ((rr X Y) => (rf2 X Y)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf1 X Y0) /\ (rf1 X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf2 X Y0) /\ (rf2 X Y1)) => (Y0 = Y1)))))) (Ex Y, ((rr (i2003_11_14_17_19_17492) Y) /\ (cowlThing Y))) (Ex Y, ((rf1 (i2003_11_14_17_19_17492) Y) /\ (cp1 Y))) ### And 43 % 26.90/27.10 45. (Ex Y, ((rf2 (i2003_11_14_17_19_17492) Y) /\ (cp2 Y))) (Ex Y, ((rf1 (i2003_11_14_17_19_17492) Y) /\ (cp1 Y))) (Ex Y, ((rr (i2003_11_14_17_19_17492) Y) /\ (cowlThing Y))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf2 X Y0) /\ (rf2 X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf1 X Y0) /\ (rf1 X Y1)) => (Y0 = Y1)))))) (All X, (All Y, ((rr X Y) => (rf2 X Y)))) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (All X, ((cp1 X) => (-. (cp2 X)))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) ### Exists 44 % 26.90/27.10 46. ((Ex Y, ((rf2 (i2003_11_14_17_19_17492) Y) /\ (cp2 Y))) /\ ((Ex Y, ((rf1 (i2003_11_14_17_19_17492) Y) /\ (cp1 Y))) /\ (Ex Y, ((rr (i2003_11_14_17_19_17492) Y) /\ (cowlThing Y))))) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All X, ((cp1 X) => (-. (cp2 X)))) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (All X, (All Y, ((rr X Y) => (rf2 X Y)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf1 X Y0) /\ (rf1 X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf2 X Y0) /\ (rf2 X Y1)) => (Y0 = Y1)))))) ### ConjTree 45 % 26.90/27.10 47. (cUnsatisfiable (i2003_11_14_17_19_17492)) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf2 X Y0) /\ (rf2 X Y1)) => (Y0 = Y1)))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (All X, ((cowlThing X) => (All Y0, (All Y1, (((rf1 X Y0) /\ (rf1 X Y1)) => (Y0 = Y1)))))) (All X, (All Y, ((rr X Y) => (rf2 X Y)))) (All X, (All Y, ((rr X Y) => (rf1 X Y)))) (All X, ((cp1 X) => (-. (cp2 X)))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) ### Definition-Pseudo(cUnsatisfiable) 46 % 26.90/27.10 % SZS output end Proof % 26.90/27.10 (* END-PROOF *) %------------------------------------------------------------------------------