TSTP Solution File: GEO174+2 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO174+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 : n010.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 06:30:37 EDT 2022
% Result : Theorem 0.54s 0.71s
% Output : Proof 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO174+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 13:22:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.54/0.71 % SZS status Theorem
% 0.54/0.71 (* PROOF-FOUND *)
% 0.54/0.71 (* BEGIN-PROOF *)
% 0.54/0.71 % SZS output start Proof
% 0.54/0.71 1. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom
% 0.54/0.71 2. (apart_point_and_line T_0 T_2) (-. (apart_point_and_line T_0 T_2)) ### Axiom
% 0.54/0.71 3. (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (distinct_lines T_2 (line_connecting T_0 T_1)) ### Axiom
% 0.54/0.71 4. (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) (apart_point_and_line T_0 (line_connecting T_0 T_1)) ### Axiom
% 0.54/0.71 5. ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 (line_connecting T_0 T_1)) \/ (apart_point_and_line T_0 (line_connecting T_0 T_1)))) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_0 T_2) ### DisjTree 2 3 4
% 0.54/0.71 6. (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_0 Z)))) (apart_point_and_line T_0 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) ### All 5
% 0.54/0.71 7. (distinct_points T_0 T_0) ### Extension/test/apart1
% 0.54/0.71 8. ((distinct_points T_0 T_0) /\ (distinct_points T_0 T_1)) ### And 7
% 0.54/0.71 9. ((distinct_points T_0 T_1) => ((apart_point_and_line T_0 (line_connecting T_0 T_1)) => ((distinct_points T_0 T_0) /\ (distinct_points T_0 T_1)))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_0 T_2) (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_0 Z)))) (distinct_points T_0 T_1) ### DisjTree 1 6 8
% 0.54/0.71 10. (All Z, ((distinct_points T_0 T_1) => ((apart_point_and_line Z (line_connecting T_0 T_1)) => ((distinct_points Z T_0) /\ (distinct_points Z T_1))))) (distinct_points T_0 T_1) (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_0 Z)))) (apart_point_and_line T_0 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### All 9
% 0.54/0.71 11. (All Y, (All Z, ((distinct_points T_0 Y) => ((apart_point_and_line Z (line_connecting T_0 Y)) => ((distinct_points Z T_0) /\ (distinct_points Z Y)))))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_0 T_2) (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_0 Z)))) (distinct_points T_0 T_1) ### All 10
% 0.54/0.71 12. (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) (distinct_points T_0 T_1) (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_0 Z)))) (apart_point_and_line T_0 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### All 11
% 0.54/0.71 13. (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_0 Z))))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_0 T_2) (distinct_points T_0 T_1) (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### All 12
% 0.54/0.71 14. (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_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) (distinct_points T_0 T_1) (apart_point_and_line T_0 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### All 13
% 0.54/0.71 15. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom
% 0.54/0.71 16. (apart_point_and_line T_1 T_2) (-. (apart_point_and_line T_1 T_2)) ### Axiom
% 0.54/0.71 17. (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (distinct_lines T_2 (line_connecting T_0 T_1)) ### Axiom
% 0.54/0.71 18. (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) (apart_point_and_line T_1 (line_connecting T_0 T_1)) ### Axiom
% 0.54/0.71 19. ((apart_point_and_line T_1 T_2) => ((distinct_lines T_2 (line_connecting T_0 T_1)) \/ (apart_point_and_line T_1 (line_connecting T_0 T_1)))) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_1 T_2) ### DisjTree 16 17 18
% 0.54/0.71 20. (All Z, ((apart_point_and_line T_1 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_1 Z)))) (apart_point_and_line T_1 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) ### All 19
% 0.54/0.71 21. (distinct_points T_1 T_1) ### Extension/test/apart1
% 0.54/0.71 22. ((distinct_points T_1 T_0) /\ (distinct_points T_1 T_1)) ### And 21
% 0.54/0.71 23. ((distinct_points T_0 T_1) => ((apart_point_and_line T_1 (line_connecting T_0 T_1)) => ((distinct_points T_1 T_0) /\ (distinct_points T_1 T_1)))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_1 T_2) (All Z, ((apart_point_and_line T_1 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_1 Z)))) (distinct_points T_0 T_1) ### DisjTree 15 20 22
% 0.54/0.71 24. (All Z, ((distinct_points T_0 T_1) => ((apart_point_and_line Z (line_connecting T_0 T_1)) => ((distinct_points Z T_0) /\ (distinct_points Z T_1))))) (distinct_points T_0 T_1) (All Z, ((apart_point_and_line T_1 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_1 Z)))) (apart_point_and_line T_1 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### All 23
% 0.54/0.71 25. (All Y, (All Z, ((distinct_points T_0 Y) => ((apart_point_and_line Z (line_connecting T_0 Y)) => ((distinct_points Z T_0) /\ (distinct_points Z Y)))))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_1 T_2) (All Z, ((apart_point_and_line T_1 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_1 Z)))) (distinct_points T_0 T_1) ### All 24
% 0.54/0.71 26. (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) (distinct_points T_0 T_1) (All Z, ((apart_point_and_line T_1 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_1 Z)))) (apart_point_and_line T_1 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### All 25
% 0.54/0.71 27. (All Y, (All Z, ((apart_point_and_line T_1 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_1 Z))))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_1 T_2) (distinct_points T_0 T_1) (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### All 26
% 0.54/0.71 28. (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_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) (distinct_points T_0 T_1) (apart_point_and_line T_1 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### All 27
% 0.54/0.71 29. ((apart_point_and_line T_0 T_2) \/ (apart_point_and_line T_1 T_2)) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (distinct_points T_0 T_1) (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### Or 14 28
% 0.54/0.71 30. (-. (((distinct_points T_0 T_1) /\ ((convergent_lines T_2 T_3) /\ ((apart_point_and_line T_0 T_2) \/ (apart_point_and_line T_1 T_2)))) => (distinct_lines T_2 (line_connecting T_0 T_1)))) (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_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### ConjTree 29
% 0.54/0.71 31. (-. (All V, (((distinct_points T_0 T_1) /\ ((convergent_lines T_2 V) /\ ((apart_point_and_line T_0 T_2) \/ (apart_point_and_line T_1 T_2)))) => (distinct_lines T_2 (line_connecting T_0 T_1))))) (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotAllEx 30
% 0.54/0.71 32. (-. (All U, (All V, (((distinct_points T_0 T_1) /\ ((convergent_lines U V) /\ ((apart_point_and_line T_0 U) \/ (apart_point_and_line T_1 U)))) => (distinct_lines U (line_connecting T_0 T_1)))))) (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_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### NotAllEx 31
% 0.54/0.71 33. (-. (All Y, (All U, (All V, (((distinct_points T_0 Y) /\ ((convergent_lines U V) /\ ((apart_point_and_line T_0 U) \/ (apart_point_and_line Y U)))) => (distinct_lines U (line_connecting T_0 Y))))))) (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotAllEx 32
% 0.54/0.71 34. (-. (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ ((convergent_lines U V) /\ ((apart_point_and_line X U) \/ (apart_point_and_line Y U)))) => (distinct_lines U (line_connecting X Y)))))))) (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_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### NotAllEx 33
% 0.54/0.71 % SZS output end Proof
% 0.54/0.71 (* END-PROOF *)
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