%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO192+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n009.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 06:30:53 EDT 2022 % Result : Theorem 5.26s 5.44s % Output : Proof 5.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : GEO192+3 : TPTP v8.1.0. Released v4.0.0. % 0.14/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.36 % Computer : n009.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Sat Jun 18 18:15:38 EDT 2022 % 0.14/0.36 % CPUTime : % 5.26/5.44 % SZS status Theorem % 5.26/5.44 (* PROOF-FOUND *) % 5.26/5.44 (* BEGIN-PROOF *) % 5.26/5.44 % SZS output start Proof % 5.26/5.44 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 % 5.26/5.44 2. (distinct_lines T_2 T_0) (-. (distinct_lines T_2 T_0)) ### Axiom % 5.26/5.44 3. (distinct_lines T_2 T_2) (-. (distinct_lines T_2 T_2)) ### Axiom % 5.26/5.44 4. (All X, (-. (distinct_lines X X))) (distinct_lines T_2 T_2) ### All 3 % 5.26/5.44 5. (-. (distinct_lines T_0 T_2)) (distinct_lines T_0 T_2) ### Axiom % 5.26/5.44 6. ((distinct_lines T_2 T_0) => ((distinct_lines T_2 T_2) \/ (distinct_lines T_0 T_2))) (-. (distinct_lines T_0 T_2)) (All X, (-. (distinct_lines X X))) (distinct_lines T_2 T_0) ### DisjTree 2 4 5 % 5.26/5.44 7. (All Z, ((distinct_lines T_2 T_0) => ((distinct_lines T_2 Z) \/ (distinct_lines T_0 Z)))) (distinct_lines T_2 T_0) (All X, (-. (distinct_lines X X))) (-. (distinct_lines T_0 T_2)) ### All 6 % 5.26/5.44 8. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom % 5.26/5.44 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 % 5.26/5.44 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 % 5.26/5.44 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 % 5.26/5.44 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 % 5.26/5.44 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 X, (-. (distinct_lines X X))) (All Z, ((distinct_lines T_2 T_0) => ((distinct_lines T_2 Z) \/ (distinct_lines T_0 Z)))) (apart_point_and_line (intersection_point T_0 T_1) T_2) ### DisjTree 1 7 12 % 5.26/5.44 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 Z, ((distinct_lines T_2 T_0) => ((distinct_lines T_2 Z) \/ (distinct_lines T_0 Z)))) (All X, (-. (distinct_lines X X))) (-. (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 % 5.26/5.44 15. (All Y, (All Z, ((distinct_lines T_2 Y) => ((distinct_lines T_2 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)) (All X, (-. (distinct_lines X X))) (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 % 5.26/5.44 16. (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) (All X, (-. (distinct_lines X X))) (-. (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 15 % 5.26/5.44 17. (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))))) (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 X, (-. (distinct_lines X X))) (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 16 % 5.26/5.44 18. (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) (All X, (-. (distinct_lines X X))) (-. (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 17 % 5.26/5.44 19. (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 % 5.26/5.44 20. (distinct_lines T_2 T_1) (-. (distinct_lines T_2 T_1)) ### Axiom % 5.26/5.44 21. (-. (distinct_lines T_1 T_2)) (distinct_lines T_1 T_2) ### Axiom % 5.26/5.44 22. ((distinct_lines T_2 T_1) => ((distinct_lines T_2 T_2) \/ (distinct_lines T_1 T_2))) (-. (distinct_lines T_1 T_2)) (All X, (-. (distinct_lines X X))) (distinct_lines T_2 T_1) ### DisjTree 20 4 21 % 5.26/5.44 23. (All Z, ((distinct_lines T_2 T_1) => ((distinct_lines T_2 Z) \/ (distinct_lines T_1 Z)))) (distinct_lines T_2 T_1) (All X, (-. (distinct_lines X X))) (-. (distinct_lines T_1 T_2)) ### All 22 % 5.26/5.44 24. (All Y, (All Z, ((distinct_lines T_2 Y) => ((distinct_lines T_2 Z) \/ (distinct_lines Y Z))))) (-. (distinct_lines T_1 T_2)) (All X, (-. (distinct_lines X X))) (distinct_lines T_2 T_1) ### All 23 % 5.26/5.44 25. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom % 5.26/5.44 26. (apart_point_and_line (intersection_point T_0 T_1) T_1) (-. (apart_point_and_line (intersection_point T_0 T_1) T_1)) ### Axiom % 5.26/5.44 27. ((convergent_lines T_0 T_1) => (-. (apart_point_and_line (intersection_point T_0 T_1) T_1))) (apart_point_and_line (intersection_point T_0 T_1) T_1) (convergent_lines T_0 T_1) ### Imply 25 26 % 5.26/5.44 28. (All Y, ((convergent_lines T_0 Y) => (-. (apart_point_and_line (intersection_point T_0 Y) Y)))) (convergent_lines T_0 T_1) (apart_point_and_line (intersection_point T_0 T_1) T_1) ### All 27 % 5.26/5.44 29. (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) (apart_point_and_line (intersection_point T_0 T_1) T_1) (convergent_lines T_0 T_1) ### All 28 % 5.26/5.44 30. ((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) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) (All X, (-. (distinct_lines X X))) (-. (distinct_lines T_1 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 19 24 29 % 5.26/5.44 31. (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_1 T_2)) (All X, (-. (distinct_lines X X))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) (convergent_lines T_0 T_1) ### All 30 % 5.26/5.44 32. (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) Y))))) (All X, (-. (distinct_lines X X))) (-. (distinct_lines T_1 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 31 % 5.26/5.44 33. (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_1 T_2)) (All X, (-. (distinct_lines X X))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) (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 32 % 5.28/5.45 34. (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) Y))))) (All X, (-. (distinct_lines X X))) (-. (distinct_lines T_1 T_2)) (apart_point_and_line (intersection_point T_0 T_1) T_2) ### All 33 % 5.28/5.45 35. (-. ((distinct_lines T_0 T_2) /\ (distinct_lines T_1 T_2))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) (convergent_lines T_0 T_1) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (-. (distinct_lines X X))) (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 X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotAnd 18 34 % 5.28/5.45 36. (-. ((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, (-. (distinct_lines X X))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) ### ConjTree 35 % 5.28/5.45 37. (-. (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) Y))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (-. (distinct_lines X 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 36 % 5.28/5.45 38. (-. (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, (-. (distinct_lines X X))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) ### NotAllEx 37 % 5.28/5.45 39. (-. (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) Y))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (-. (distinct_lines X 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 38 % 5.28/5.45 % SZS output end Proof % 5.28/5.45 (* END-PROOF *) %------------------------------------------------------------------------------