TSTP Solution File: GEO183+2 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO183+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 : n014.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 06:30:45 EDT 2022
% Result : Theorem 0.51s 0.73s
% Output : Proof 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO183+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 08:51:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.51/0.73 % SZS status Theorem
% 0.51/0.73 (* PROOF-FOUND *)
% 0.51/0.73 (* BEGIN-PROOF *)
% 0.51/0.73 % SZS output start Proof
% 0.51/0.73 1. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom
% 0.51/0.73 2. (apart_point_and_line T_0 T_2) (-. (apart_point_and_line T_0 T_2)) ### Axiom
% 0.51/0.73 3. (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (distinct_lines T_2 (line_connecting T_0 T_1)) ### Axiom
% 0.51/0.73 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
% 0.51/0.73 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
% 0.51/0.73 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
% 0.51/0.73 7. (distinct_points T_0 T_0) ### Extension/test/apart1
% 0.51/0.73 8. ((distinct_points T_0 T_0) /\ (distinct_points T_0 T_1)) ### And 7
% 0.51/0.73 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
% 0.51/0.73 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
% 0.51/0.73 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
% 0.51/0.73 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
% 0.51/0.73 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
% 0.51/0.73 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
% 0.51/0.73 15. (-. (-. (apart_point_and_line T_0 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)))))) ### NotNot 14
% 0.51/0.73 16. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom
% 0.51/0.73 17. (apart_point_and_line T_1 T_2) (-. (apart_point_and_line T_1 T_2)) ### Axiom
% 0.51/0.73 18. (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (distinct_lines T_2 (line_connecting T_0 T_1)) ### Axiom
% 0.51/0.73 19. (-. (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
% 0.51/0.73 20. ((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 17 18 19
% 0.51/0.73 21. (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 20
% 0.51/0.73 22. (distinct_points T_1 T_1) ### Extension/test/apart1
% 0.51/0.73 23. ((distinct_points T_1 T_0) /\ (distinct_points T_1 T_1)) ### And 22
% 0.51/0.73 24. ((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 16 21 23
% 0.51/0.73 25. (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 24
% 0.51/0.73 26. (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 25
% 0.51/0.73 27. (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 26
% 0.51/0.73 28. (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 27
% 0.51/0.73 29. (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 28
% 0.51/0.73 30. (-. (-. (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)))))) ### NotNot 29
% 0.51/0.73 31. (-. ((-. (apart_point_and_line T_0 T_2)) /\ (-. (apart_point_and_line 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_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) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### NotAnd 15 30
% 0.51/0.73 32. (-. (((distinct_points T_0 T_1) /\ ((convergent_lines T_2 T_3) /\ (-. (distinct_lines T_2 (line_connecting T_0 T_1))))) => ((-. (apart_point_and_line T_0 T_2)) /\ (-. (apart_point_and_line T_1 T_2))))) (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)))))) ### ConjTree 31
% 0.51/0.73 33. (-. (All V, (((distinct_points T_0 T_1) /\ ((convergent_lines T_2 V) /\ (-. (distinct_lines T_2 (line_connecting T_0 T_1))))) => ((-. (apart_point_and_line T_0 T_2)) /\ (-. (apart_point_and_line 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_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### NotAllEx 32
% 0.51/0.73 34. (-. (All U, (All V, (((distinct_points T_0 T_1) /\ ((convergent_lines U V) /\ (-. (distinct_lines U (line_connecting T_0 T_1))))) => ((-. (apart_point_and_line T_0 U)) /\ (-. (apart_point_and_line T_1 U))))))) (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 33
% 0.51/0.73 35. (-. (All Y, (All U, (All V, (((distinct_points T_0 Y) /\ ((convergent_lines U V) /\ (-. (distinct_lines U (line_connecting T_0 Y))))) => ((-. (apart_point_and_line T_0 U)) /\ (-. (apart_point_and_line Y U)))))))) (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 34
% 0.51/0.73 36. (-. (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ ((convergent_lines U V) /\ (-. (distinct_lines U (line_connecting X Y))))) => ((-. (apart_point_and_line X U)) /\ (-. (apart_point_and_line Y U))))))))) (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 35
% 0.51/0.73 % SZS output end Proof
% 0.51/0.73 (* END-PROOF *)
%------------------------------------------------------------------------------