TSTP Solution File: GEO185+2 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO185+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 : n013.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 0.20s 0.42s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO185+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 18:04:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 (* PROOF-FOUND *)
% 0.20/0.42 (* BEGIN-PROOF *)
% 0.20/0.42 % SZS output start Proof
% 0.20/0.42 1. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom
% 0.20/0.42 2. (apart_point_and_line T_2 T_0) (-. (apart_point_and_line T_2 T_0)) ### Axiom
% 0.20/0.42 3. (-. ((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 T_1))) (apart_point_and_line T_2 T_0) ### NotOr 2
% 0.20/0.42 4. (-. (distinct_points T_2 (intersection_point T_0 T_1))) (distinct_points T_2 (intersection_point T_0 T_1)) ### Axiom
% 0.20/0.42 5. ((convergent_lines T_0 T_1) => (((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 T_1)) => (distinct_points T_2 (intersection_point T_0 T_1)))) (-. (distinct_points T_2 (intersection_point T_0 T_1))) (apart_point_and_line T_2 T_0) (convergent_lines T_0 T_1) ### DisjTree 1 3 4
% 0.20/0.42 6. (All Z, ((convergent_lines T_0 T_1) => (((apart_point_and_line Z T_0) \/ (apart_point_and_line Z T_1)) => (distinct_points Z (intersection_point T_0 T_1))))) (convergent_lines T_0 T_1) (apart_point_and_line T_2 T_0) (-. (distinct_points T_2 (intersection_point T_0 T_1))) ### All 5
% 0.20/0.42 7. (All Y, (All Z, ((convergent_lines T_0 Y) => (((apart_point_and_line Z T_0) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point T_0 Y)))))) (-. (distinct_points T_2 (intersection_point T_0 T_1))) (apart_point_and_line T_2 T_0) (convergent_lines T_0 T_1) ### All 6
% 0.20/0.42 8. (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))))))) (convergent_lines T_0 T_1) (apart_point_and_line T_2 T_0) (-. (distinct_points T_2 (intersection_point T_0 T_1))) ### All 7
% 0.20/0.42 9. (-. (-. (apart_point_and_line T_2 T_0))) (-. (distinct_points T_2 (intersection_point T_0 T_1))) (convergent_lines T_0 T_1) (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))))))) ### NotNot 8
% 0.20/0.42 10. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom
% 0.20/0.42 11. (apart_point_and_line T_2 T_1) (-. (apart_point_and_line T_2 T_1)) ### Axiom
% 0.20/0.42 12. (-. ((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 T_1))) (apart_point_and_line T_2 T_1) ### NotOr 11
% 0.20/0.42 13. (-. (distinct_points T_2 (intersection_point T_0 T_1))) (distinct_points T_2 (intersection_point T_0 T_1)) ### Axiom
% 0.20/0.42 14. ((convergent_lines T_0 T_1) => (((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 T_1)) => (distinct_points T_2 (intersection_point T_0 T_1)))) (-. (distinct_points T_2 (intersection_point T_0 T_1))) (apart_point_and_line T_2 T_1) (convergent_lines T_0 T_1) ### DisjTree 10 12 13
% 0.20/0.42 15. (All Z, ((convergent_lines T_0 T_1) => (((apart_point_and_line Z T_0) \/ (apart_point_and_line Z T_1)) => (distinct_points Z (intersection_point T_0 T_1))))) (convergent_lines T_0 T_1) (apart_point_and_line T_2 T_1) (-. (distinct_points T_2 (intersection_point T_0 T_1))) ### All 14
% 0.20/0.42 16. (All Y, (All Z, ((convergent_lines T_0 Y) => (((apart_point_and_line Z T_0) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point T_0 Y)))))) (-. (distinct_points T_2 (intersection_point T_0 T_1))) (apart_point_and_line T_2 T_1) (convergent_lines T_0 T_1) ### All 15
% 0.20/0.42 17. (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))))))) (convergent_lines T_0 T_1) (apart_point_and_line T_2 T_1) (-. (distinct_points T_2 (intersection_point T_0 T_1))) ### All 16
% 0.20/0.42 18. (-. (-. (apart_point_and_line T_2 T_1))) (-. (distinct_points T_2 (intersection_point T_0 T_1))) (convergent_lines T_0 T_1) (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))))))) ### NotNot 17
% 0.20/0.42 19. (-. ((-. (apart_point_and_line T_2 T_0)) /\ (-. (apart_point_and_line T_2 T_1)))) (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))))))) (convergent_lines T_0 T_1) (-. (distinct_points T_2 (intersection_point T_0 T_1))) ### NotAnd 9 18
% 0.20/0.42 20. (-. (((distinct_points T_2 T_3) /\ ((convergent_lines T_0 T_1) /\ (-. (distinct_points T_2 (intersection_point T_0 T_1))))) => ((-. (apart_point_and_line T_2 T_0)) /\ (-. (apart_point_and_line T_2 T_1))))) (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 19
% 0.20/0.42 21. (-. (All V, (((distinct_points T_2 T_3) /\ ((convergent_lines T_0 V) /\ (-. (distinct_points T_2 (intersection_point T_0 V))))) => ((-. (apart_point_and_line T_2 T_0)) /\ (-. (apart_point_and_line T_2 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 20
% 0.20/0.42 22. (-. (All U, (All V, (((distinct_points T_2 T_3) /\ ((convergent_lines U V) /\ (-. (distinct_points T_2 (intersection_point U V))))) => ((-. (apart_point_and_line T_2 U)) /\ (-. (apart_point_and_line T_2 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 21
% 0.20/0.42 23. (-. (All Y, (All U, (All V, (((distinct_points T_2 Y) /\ ((convergent_lines U V) /\ (-. (distinct_points T_2 (intersection_point U V))))) => ((-. (apart_point_and_line T_2 U)) /\ (-. (apart_point_and_line T_2 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 22
% 0.20/0.42 24. (-. (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, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y))))))) ### NotAllEx 23
% 0.20/0.42 % SZS output end Proof
% 0.20/0.42 (* END-PROOF *)
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