TSTP Solution File: GEO172+2 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO172+2 : 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 : n005.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 06:30:35 EDT 2022
% Result : Theorem 0.18s 0.46s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO172+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.32 % Computer : n005.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 04:01:38 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.46 % SZS status Theorem
% 0.18/0.46 (* PROOF-FOUND *)
% 0.18/0.46 (* BEGIN-PROOF *)
% 0.18/0.46 % SZS output start Proof
% 0.18/0.46 1. (distinct_points T_0 (intersection_point T_1 T_2)) (-. (distinct_points T_0 (intersection_point T_1 T_2))) ### Axiom
% 0.18/0.46 2. (convergent_lines T_1 T_2) (-. (convergent_lines T_1 T_2)) ### Axiom
% 0.18/0.46 3. (-. (distinct_lines T_1 T_2)) (convergent_lines T_1 T_2) ### Extension/test/ceq3ctrp 2
% 0.18/0.46 4. (-. (apart_point_and_line T_0 T_1)) (apart_point_and_line T_0 T_1) ### Axiom
% 0.18/0.46 5. (-. (apart_point_and_line T_0 T_2)) (apart_point_and_line T_0 T_2) ### Axiom
% 0.18/0.46 6. (convergent_lines T_1 T_2) (-. (convergent_lines T_1 T_2)) ### Axiom
% 0.18/0.46 7. (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
% 0.18/0.46 8. (-. ((apart_point_and_line (intersection_point T_1 T_2) T_1) \/ (apart_point_and_line (intersection_point T_1 T_2) T_2))) (apart_point_and_line (intersection_point T_1 T_2) T_1) ### NotOr 7
% 0.18/0.46 9. (distinct_points (intersection_point T_1 T_2) (intersection_point T_1 T_2)) ### Extension/test/apart1
% 0.18/0.46 10. ((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_2)) => (distinct_points (intersection_point T_1 T_2) (intersection_point T_1 T_2)))) (apart_point_and_line (intersection_point T_1 T_2) T_1) (convergent_lines T_1 T_2) ### DisjTree 6 8 9
% 0.18/0.46 11. (All Z, ((convergent_lines T_1 T_2) => (((apart_point_and_line Z T_1) \/ (apart_point_and_line Z T_2)) => (distinct_points Z (intersection_point T_1 T_2))))) (convergent_lines T_1 T_2) (apart_point_and_line (intersection_point T_1 T_2) T_1) ### All 10
% 0.18/0.46 12. (convergent_lines T_1 T_2) (-. (convergent_lines T_1 T_2)) ### Axiom
% 0.18/0.46 13. (apart_point_and_line (intersection_point T_1 T_2) T_2) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) ### Axiom
% 0.18/0.46 14. (-. ((apart_point_and_line (intersection_point T_1 T_2) T_1) \/ (apart_point_and_line (intersection_point T_1 T_2) T_2))) (apart_point_and_line (intersection_point T_1 T_2) T_2) ### NotOr 13
% 0.18/0.46 15. ((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_2)) => (distinct_points (intersection_point T_1 T_2) (intersection_point T_1 T_2)))) (apart_point_and_line (intersection_point T_1 T_2) T_2) (convergent_lines T_1 T_2) ### DisjTree 12 14 9
% 0.18/0.46 16. (All Z, ((convergent_lines T_1 T_2) => (((apart_point_and_line Z T_1) \/ (apart_point_and_line Z T_2)) => (distinct_points Z (intersection_point T_1 T_2))))) (convergent_lines T_1 T_2) (apart_point_and_line (intersection_point T_1 T_2) T_2) ### All 15
% 0.18/0.46 17. (((distinct_points T_0 (intersection_point T_1 T_2)) /\ (distinct_lines T_1 T_2)) => ((apart_point_and_line T_0 T_1) \/ ((apart_point_and_line T_0 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_2))))) (All Z, ((convergent_lines T_1 T_2) => (((apart_point_and_line Z T_1) \/ (apart_point_and_line Z T_2)) => (distinct_points Z (intersection_point T_1 T_2))))) (-. (apart_point_and_line T_0 T_2)) (-. (apart_point_and_line T_0 T_1)) (convergent_lines T_1 T_2) (distinct_points T_0 (intersection_point T_1 T_2)) ### DisjTree 1 3 4 5 11 16
% 0.18/0.46 18. (All V, (((distinct_points T_0 (intersection_point T_1 T_2)) /\ (distinct_lines T_1 V)) => ((apart_point_and_line T_0 T_1) \/ ((apart_point_and_line T_0 V) \/ ((apart_point_and_line (intersection_point T_1 T_2) T_1) \/ (apart_point_and_line (intersection_point T_1 T_2) V)))))) (distinct_points T_0 (intersection_point T_1 T_2)) (convergent_lines T_1 T_2) (-. (apart_point_and_line T_0 T_1)) (-. (apart_point_and_line T_0 T_2)) (All Z, ((convergent_lines T_1 T_2) => (((apart_point_and_line Z T_1) \/ (apart_point_and_line Z T_2)) => (distinct_points Z (intersection_point T_1 T_2))))) ### All 17
% 0.18/0.46 19. (All U, (All V, (((distinct_points T_0 (intersection_point T_1 T_2)) /\ (distinct_lines U V)) => ((apart_point_and_line T_0 U) \/ ((apart_point_and_line T_0 V) \/ ((apart_point_and_line (intersection_point T_1 T_2) U) \/ (apart_point_and_line (intersection_point T_1 T_2) V))))))) (All Z, ((convergent_lines T_1 T_2) => (((apart_point_and_line Z T_1) \/ (apart_point_and_line Z T_2)) => (distinct_points Z (intersection_point T_1 T_2))))) (-. (apart_point_and_line T_0 T_2)) (-. (apart_point_and_line T_0 T_1)) (convergent_lines T_1 T_2) (distinct_points T_0 (intersection_point T_1 T_2)) ### All 18
% 0.18/0.46 20. (All Y, (All U, (All V, (((distinct_points T_0 Y) /\ (distinct_lines U V)) => ((apart_point_and_line T_0 U) \/ ((apart_point_and_line T_0 V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V)))))))) (distinct_points T_0 (intersection_point T_1 T_2)) (convergent_lines T_1 T_2) (-. (apart_point_and_line T_0 T_1)) (-. (apart_point_and_line T_0 T_2)) (All Z, ((convergent_lines T_1 T_2) => (((apart_point_and_line Z T_1) \/ (apart_point_and_line Z T_2)) => (distinct_points Z (intersection_point T_1 T_2))))) ### All 19
% 0.18/0.46 21. (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) (All Z, ((convergent_lines T_1 T_2) => (((apart_point_and_line Z T_1) \/ (apart_point_and_line Z T_2)) => (distinct_points Z (intersection_point T_1 T_2))))) (-. (apart_point_and_line T_0 T_2)) (-. (apart_point_and_line T_0 T_1)) (convergent_lines T_1 T_2) (distinct_points T_0 (intersection_point T_1 T_2)) ### All 20
% 0.18/0.46 22. (All Y, (All Z, ((convergent_lines T_1 Y) => (((apart_point_and_line Z T_1) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point T_1 Y)))))) (distinct_points T_0 (intersection_point T_1 T_2)) (convergent_lines 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 U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) ### All 21
% 0.18/0.46 23. (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y))))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) (-. (apart_point_and_line T_0 T_2)) (-. (apart_point_and_line T_0 T_1)) (convergent_lines T_1 T_2) (distinct_points T_0 (intersection_point T_1 T_2)) ### All 22
% 0.18/0.46 24. (-. (((convergent_lines T_1 T_2) /\ ((-. (apart_point_and_line T_0 T_1)) /\ (-. (apart_point_and_line T_0 T_2)))) => (-. (distinct_points T_0 (intersection_point T_1 T_2))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y))))))) ### ConjTree 23
% 0.18/0.46 25. (-. (All Z, (((convergent_lines T_1 T_2) /\ ((-. (apart_point_and_line Z T_1)) /\ (-. (apart_point_and_line Z T_2)))) => (-. (distinct_points Z (intersection_point T_1 T_2)))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y))))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) ### NotAllEx 24
% 0.18/0.46 26. (-. (All Y, (All Z, (((convergent_lines T_1 Y) /\ ((-. (apart_point_and_line Z T_1)) /\ (-. (apart_point_and_line Z Y)))) => (-. (distinct_points Z (intersection_point T_1 Y))))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y))))))) ### NotAllEx 25
% 0.18/0.46 27. (-. (All X, (All Y, (All Z, (((convergent_lines X Y) /\ ((-. (apart_point_and_line Z X)) /\ (-. (apart_point_and_line Z Y)))) => (-. (distinct_points Z (intersection_point X Y)))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y))))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) ### NotAllEx 26
% 0.18/0.46 % SZS output end Proof
% 0.18/0.46 (* END-PROOF *)
%------------------------------------------------------------------------------