%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO192+1 : TPTP v8.1.0. Released v3.3.0. % 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 : Sat Jul 16 06:30:52 EDT 2022 % Result : Theorem 0.19s 0.43s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO192+1 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.12 % 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 : Sat Jun 18 05:31:58 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.43 % SZS status Theorem % 0.19/0.43 (* PROOF-FOUND *) % 0.19/0.43 (* BEGIN-PROOF *) % 0.19/0.43 % SZS output start Proof % 0.19/0.43 1. (apart_point_and_line (intersection_point T_0 T_1) T_2) (-. (apart_point_and_line (intersection_point T_0 T_1) T_2)) ### Axiom % 0.19/0.43 2. (distinct_lines T_2 T_0) (-. (distinct_lines T_2 T_0)) ### Axiom % 0.19/0.43 3. (distinct_lines T_2 T_2) ### Extension/test/apart2 % 0.19/0.43 4. (-. (distinct_lines T_0 T_2)) (distinct_lines T_0 T_2) ### Axiom % 0.19/0.43 5. ((distinct_lines T_2 T_0) => ((distinct_lines T_2 T_2) \/ (distinct_lines T_0 T_2))) (-. (distinct_lines T_0 T_2)) (distinct_lines T_2 T_0) ### DisjTree 2 3 4 % 0.19/0.43 6. (All Z, ((distinct_lines T_2 T_0) => ((distinct_lines T_2 Z) \/ (distinct_lines T_0 Z)))) (distinct_lines T_2 T_0) (-. (distinct_lines T_0 T_2)) ### All 5 % 0.19/0.43 7. (All Y, (All Z, ((distinct_lines T_2 Y) => ((distinct_lines T_2 Z) \/ (distinct_lines Y Z))))) (-. (distinct_lines T_0 T_2)) (distinct_lines T_2 T_0) ### All 6 % 0.19/0.43 8. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom % 0.19/0.43 9. (apart_point_and_line (intersection_point T_0 T_1) T_0) (-. (apart_point_and_line (intersection_point T_0 T_1) T_0)) ### Axiom % 0.19/0.43 10. ((convergent_lines T_0 T_1) => (-. (apart_point_and_line (intersection_point T_0 T_1) T_0))) (apart_point_and_line (intersection_point T_0 T_1) T_0) (convergent_lines T_0 T_1) ### Imply 8 9 % 0.19/0.43 11. (All Y, ((convergent_lines T_0 Y) => (-. (apart_point_and_line (intersection_point T_0 Y) T_0)))) (convergent_lines T_0 T_1) (apart_point_and_line (intersection_point T_0 T_1) T_0) ### All 10 % 0.19/0.43 12. (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (apart_point_and_line (intersection_point T_0 T_1) T_0) (convergent_lines T_0 T_1) ### All 11 % 0.19/0.43 13. ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_2 T_0) \/ (apart_point_and_line (intersection_point T_0 T_1) T_0))) (convergent_lines T_0 T_1) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (-. (distinct_lines T_0 T_2)) (All Y, (All Z, ((distinct_lines T_2 Y) => ((distinct_lines T_2 Z) \/ (distinct_lines Y Z))))) (apart_point_and_line (intersection_point T_0 T_1) T_2) ### DisjTree 1 7 12 % 0.19/0.43 14. (All Z, ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line (intersection_point T_0 T_1) Z)))) (apart_point_and_line (intersection_point T_0 T_1) T_2) (All Y, (All Z, ((distinct_lines T_2 Y) => ((distinct_lines T_2 Z) \/ (distinct_lines Y Z))))) (-. (distinct_lines T_0 T_2)) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (convergent_lines T_0 T_1) ### All 13 % 0.19/0.43 15. (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (convergent_lines T_0 T_1) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (-. (distinct_lines T_0 T_2)) (apart_point_and_line (intersection_point T_0 T_1) T_2) (All Z, ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line (intersection_point T_0 T_1) Z)))) ### All 14 % 0.19/0.43 16. (All Y, (All Z, ((apart_point_and_line (intersection_point T_0 T_1) Y) => ((distinct_lines Y Z) \/ (apart_point_and_line (intersection_point T_0 T_1) Z))))) (apart_point_and_line (intersection_point T_0 T_1) T_2) (-. (distinct_lines T_0 T_2)) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (convergent_lines T_0 T_1) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) ### All 15 % 0.19/0.43 17. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (convergent_lines T_0 T_1) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (-. (distinct_lines T_0 T_2)) (apart_point_and_line (intersection_point T_0 T_1) T_2) ### All 16 % 0.19/0.43 18. (apart_point_and_line (intersection_point T_0 T_1) T_2) (-. (apart_point_and_line (intersection_point T_0 T_1) T_2)) ### Axiom % 0.19/0.43 19. (-. (distinct_lines T_2 T_1)) (distinct_lines T_2 T_1) ### Axiom % 0.19/0.43 20. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom % 0.19/0.43 21. (apart_point_and_line (intersection_point T_0 T_1) T_1) (convergent_lines T_0 T_1) ### Extension/test/ci4ctrp 20 % 0.19/0.43 22. ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_2 T_1) \/ (apart_point_and_line (intersection_point T_0 T_1) T_1))) (convergent_lines T_0 T_1) (-. (distinct_lines T_2 T_1)) (apart_point_and_line (intersection_point T_0 T_1) T_2) ### DisjTree 18 19 21 % 0.19/0.43 23. (All Z, ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line (intersection_point T_0 T_1) Z)))) (apart_point_and_line (intersection_point T_0 T_1) T_2) (-. (distinct_lines T_2 T_1)) (convergent_lines T_0 T_1) ### All 22 % 0.19/0.43 24. (-. (distinct_lines T_1 T_2)) (distinct_lines T_1 T_2) ### Axiom % 0.19/0.43 25. ((distinct_lines T_2 T_1) => ((distinct_lines T_2 T_2) \/ (distinct_lines T_1 T_2))) (-. (distinct_lines T_1 T_2)) (convergent_lines T_0 T_1) (apart_point_and_line (intersection_point T_0 T_1) T_2) (All Z, ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line (intersection_point T_0 T_1) Z)))) ### DisjTree 23 3 24 % 0.19/0.43 26. (All Z, ((distinct_lines T_2 T_1) => ((distinct_lines T_2 Z) \/ (distinct_lines T_1 Z)))) (All Z, ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line (intersection_point T_0 T_1) Z)))) (apart_point_and_line (intersection_point T_0 T_1) T_2) (convergent_lines T_0 T_1) (-. (distinct_lines T_1 T_2)) ### All 25 % 0.19/0.43 27. (All Y, (All Z, ((distinct_lines T_2 Y) => ((distinct_lines T_2 Z) \/ (distinct_lines Y Z))))) (-. (distinct_lines T_1 T_2)) (convergent_lines T_0 T_1) (apart_point_and_line (intersection_point T_0 T_1) T_2) (All Z, ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line (intersection_point T_0 T_1) Z)))) ### All 26 % 0.19/0.43 28. (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All Z, ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line (intersection_point T_0 T_1) Z)))) (apart_point_and_line (intersection_point T_0 T_1) T_2) (convergent_lines T_0 T_1) (-. (distinct_lines T_1 T_2)) ### All 27 % 0.19/0.43 29. (All Y, (All Z, ((apart_point_and_line (intersection_point T_0 T_1) Y) => ((distinct_lines Y Z) \/ (apart_point_and_line (intersection_point T_0 T_1) Z))))) (-. (distinct_lines T_1 T_2)) (convergent_lines T_0 T_1) (apart_point_and_line (intersection_point T_0 T_1) T_2) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) ### All 28 % 0.19/0.43 30. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (apart_point_and_line (intersection_point T_0 T_1) T_2) (convergent_lines T_0 T_1) (-. (distinct_lines T_1 T_2)) ### All 29 % 0.19/0.43 31. (-. ((distinct_lines T_0 T_2) /\ (distinct_lines T_1 T_2))) (apart_point_and_line (intersection_point T_0 T_1) T_2) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (convergent_lines T_0 T_1) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotAnd 17 30 % 0.19/0.43 32. (-. ((convergent_lines T_0 T_1) => ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_0 T_2) /\ (distinct_lines T_1 T_2))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### ConjTree 31 % 0.19/0.43 33. (-. (All Z, ((convergent_lines T_0 T_1) => ((apart_point_and_line (intersection_point T_0 T_1) Z) => ((distinct_lines T_0 Z) /\ (distinct_lines T_1 Z)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotAllEx 32 % 0.19/0.43 34. (-. (All Y, (All Z, ((convergent_lines T_0 Y) => ((apart_point_and_line (intersection_point T_0 Y) Z) => ((distinct_lines T_0 Z) /\ (distinct_lines Y Z))))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### NotAllEx 33 % 0.19/0.43 35. (-. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((apart_point_and_line (intersection_point X Y) Z) => ((distinct_lines X Z) /\ (distinct_lines Y Z)))))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotAllEx 34 % 0.19/0.43 % SZS output end Proof % 0.19/0.43 (* END-PROOF *) %------------------------------------------------------------------------------