%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO185+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 : n015.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 06:30:47 EDT 2022 % Result : Theorem 0.56s 0.72s % Output : Proof 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : GEO185+1 : TPTP v8.1.0. Released v3.3.0. % 0.12/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.32 % Computer : n015.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Sat Jun 18 17:18:13 EDT 2022 % 0.12/0.32 % CPUTime : % 0.56/0.72 % SZS status Theorem % 0.56/0.72 (* PROOF-FOUND *) % 0.56/0.72 (* BEGIN-PROOF *) % 0.56/0.72 % SZS output start Proof % 0.56/0.72 1. (apart_point_and_line T_0 T_1) (-. (apart_point_and_line T_0 T_1)) ### Axiom % 0.56/0.72 2. (-. (distinct_points T_0 (intersection_point T_1 T_2))) (distinct_points T_0 (intersection_point T_1 T_2)) ### Axiom % 0.56/0.72 3. (convergent_lines T_1 T_2) (-. (convergent_lines T_1 T_2)) ### Axiom % 0.56/0.72 4. (apart_point_and_line (intersection_point T_1 T_2) T_1) (-. (apart_point_and_line (intersection_point T_1 T_2) T_1)) ### Axiom % 0.56/0.72 5. ((convergent_lines T_1 T_2) => (-. (apart_point_and_line (intersection_point T_1 T_2) T_1))) (apart_point_and_line (intersection_point T_1 T_2) T_1) (convergent_lines T_1 T_2) ### Imply 3 4 % 0.56/0.72 6. (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (convergent_lines T_1 T_2) (apart_point_and_line (intersection_point T_1 T_2) T_1) ### All 5 % 0.56/0.72 7. ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 (intersection_point T_1 T_2)) \/ (apart_point_and_line (intersection_point T_1 T_2) T_1))) (convergent_lines T_1 T_2) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_1) ### DisjTree 1 2 6 % 0.56/0.72 8. (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_1)))) (apart_point_and_line T_0 T_1) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (convergent_lines T_1 T_2) ### All 7 % 0.56/0.72 9. (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z Y))))) (convergent_lines T_1 T_2) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_1) ### All 8 % 0.56/0.72 10. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (apart_point_and_line T_0 T_1) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (convergent_lines T_1 T_2) ### All 9 % 0.56/0.72 11. (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (convergent_lines T_1 T_2) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_1) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) ### All 10 % 0.56/0.72 12. (-. (-. (apart_point_and_line T_0 T_1))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (convergent_lines T_1 T_2) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### NotNot 11 % 0.56/0.72 13. (apart_point_and_line T_0 T_2) (-. (apart_point_and_line T_0 T_2)) ### Axiom % 0.56/0.72 14. (-. (distinct_points T_0 (intersection_point T_1 T_2))) (distinct_points T_0 (intersection_point T_1 T_2)) ### Axiom % 0.56/0.72 15. (convergent_lines T_1 T_2) (-. (convergent_lines T_1 T_2)) ### Axiom % 0.56/0.72 16. (apart_point_and_line (intersection_point T_1 T_2) T_2) (convergent_lines T_1 T_2) ### Extension/test/ci4ctrp 15 % 0.56/0.72 17. ((apart_point_and_line T_0 T_2) => ((distinct_points T_0 (intersection_point T_1 T_2)) \/ (apart_point_and_line (intersection_point T_1 T_2) T_2))) (convergent_lines T_1 T_2) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_2) ### DisjTree 13 14 16 % 0.56/0.72 18. (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_2)))) (apart_point_and_line T_0 T_2) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (convergent_lines T_1 T_2) ### All 17 % 0.56/0.72 19. (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z Y))))) (convergent_lines T_1 T_2) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_2) ### All 18 % 0.56/0.72 20. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (apart_point_and_line T_0 T_2) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (convergent_lines T_1 T_2) ### All 19 % 0.56/0.72 21. (-. (-. (apart_point_and_line T_0 T_2))) (convergent_lines T_1 T_2) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) ### NotNot 20 % 0.56/0.72 22. (-. ((-. (apart_point_and_line T_0 T_1)) /\ (-. (apart_point_and_line T_0 T_2)))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (convergent_lines T_1 T_2) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) ### NotAnd 12 21 % 0.56/0.72 23. (-. (((distinct_points T_0 T_3) /\ ((convergent_lines T_1 T_2) /\ (-. (distinct_points T_0 (intersection_point T_1 T_2))))) => ((-. (apart_point_and_line T_0 T_1)) /\ (-. (apart_point_and_line T_0 T_2))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### ConjTree 22 % 0.56/0.72 24. (-. (All V, (((distinct_points T_0 T_3) /\ ((convergent_lines T_1 V) /\ (-. (distinct_points T_0 (intersection_point T_1 V))))) => ((-. (apart_point_and_line T_0 T_1)) /\ (-. (apart_point_and_line T_0 V)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) ### NotAllEx 23 % 0.56/0.72 25. (-. (All U, (All V, (((distinct_points T_0 T_3) /\ ((convergent_lines U V) /\ (-. (distinct_points T_0 (intersection_point U V))))) => ((-. (apart_point_and_line T_0 U)) /\ (-. (apart_point_and_line T_0 V))))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### NotAllEx 24 % 0.56/0.72 26. (-. (All Y, (All U, (All V, (((distinct_points T_0 Y) /\ ((convergent_lines U V) /\ (-. (distinct_points T_0 (intersection_point U V))))) => ((-. (apart_point_and_line T_0 U)) /\ (-. (apart_point_and_line T_0 V)))))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) ### NotAllEx 25 % 0.56/0.72 27. (-. (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ ((convergent_lines U V) /\ (-. (distinct_points X (intersection_point U V))))) => ((-. (apart_point_and_line X U)) /\ (-. (apart_point_and_line X V))))))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### NotAllEx 26 % 0.56/0.72 % SZS output end Proof % 0.56/0.72 (* END-PROOF *) %------------------------------------------------------------------------------