TSTP Solution File: GEO179+3 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO179+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n032.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 06:30:42 EDT 2022
% Result : Theorem 0.14s 0.37s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO179+3 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.10 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Fri Jun 17 19:20:46 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.14/0.37 % SZS status Theorem
% 0.14/0.37 (* PROOF-FOUND *)
% 0.14/0.37 (* BEGIN-PROOF *)
% 0.14/0.37 % SZS output start Proof
% 0.14/0.37 1. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom
% 0.14/0.37 2. (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (apart_point_and_line T_2 (line_connecting T_0 T_1))) ### Axiom
% 0.14/0.37 3. (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (apart_point_and_line T_2 (line_connecting T_0 T_1))) ### Axiom
% 0.14/0.37 4. (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_0))) (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_0)) ### Axiom
% 0.14/0.37 5. (distinct_points T_2 T_0) (-. (distinct_points T_2 T_0)) ### Axiom
% 0.14/0.37 6. (apart_point_and_line T_2 (line_connecting T_2 T_0)) (-. (apart_point_and_line T_2 (line_connecting T_2 T_0))) ### Axiom
% 0.14/0.37 7. ((distinct_points T_2 T_0) => (-. (apart_point_and_line T_2 (line_connecting T_2 T_0)))) (apart_point_and_line T_2 (line_connecting T_2 T_0)) (distinct_points T_2 T_0) ### Imply 5 6
% 0.14/0.37 8. (All Y, ((distinct_points T_2 Y) => (-. (apart_point_and_line T_2 (line_connecting T_2 Y))))) (distinct_points T_2 T_0) (apart_point_and_line T_2 (line_connecting T_2 T_0)) ### All 7
% 0.14/0.37 9. (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (apart_point_and_line T_2 (line_connecting T_2 T_0)) (distinct_points T_2 T_0) ### All 8
% 0.14/0.37 10. ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_0)) \/ (apart_point_and_line T_2 (line_connecting T_2 T_0)))) (distinct_points T_2 T_0) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_0))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) ### DisjTree 3 4 9
% 0.14/0.37 11. (All Z, ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_lines (line_connecting T_0 T_1) Z) \/ (apart_point_and_line T_2 Z)))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_0))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_2 T_0) ### All 10
% 0.14/0.37 12. (-. (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
% 0.14/0.37 13. ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_points T_2 T_0) \/ (apart_point_and_line T_0 (line_connecting T_0 T_1)))) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_0))) (All Z, ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_lines (line_connecting T_0 T_1) Z) \/ (apart_point_and_line T_2 Z)))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) ### DisjTree 2 11 12
% 0.14/0.37 14. (All Z, ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_points T_2 Z) \/ (apart_point_and_line Z (line_connecting T_0 T_1))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (All Z, ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_lines (line_connecting T_0 T_1) Z) \/ (apart_point_and_line T_2 Z)))) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_0))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) ### All 13
% 0.14/0.37 15. (All Y, (All Z, ((apart_point_and_line T_2 Y) => ((distinct_points T_2 Z) \/ (apart_point_and_line Z Y))))) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_0))) (All Z, ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_lines (line_connecting T_0 T_1) Z) \/ (apart_point_and_line T_2 Z)))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) ### All 14
% 0.14/0.37 16. (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_2 (line_connecting T_0 T_1)) (All Z, ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_lines (line_connecting T_0 T_1) Z) \/ (apart_point_and_line T_2 Z)))) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_0))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) ### All 15
% 0.14/0.37 17. (All Y, (All Z, ((apart_point_and_line T_2 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_2 Z))))) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_0))) (apart_point_and_line T_2 (line_connecting 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 16
% 0.14/0.37 18. ((distinct_points T_0 T_1) => (-. (apart_point_and_line T_0 (line_connecting 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)))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_0))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (All Y, (All Z, ((apart_point_and_line T_2 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_2 Z))))) (distinct_points T_0 T_1) ### Imply 1 17
% 0.14/0.37 19. (All Y, ((distinct_points T_0 Y) => (-. (apart_point_and_line T_0 (line_connecting T_0 Y))))) (distinct_points T_0 T_1) (All Y, (All Z, ((apart_point_and_line T_2 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_2 Z))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_0))) (apart_point_and_line T_2 (line_connecting 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 18
% 0.14/0.37 20. (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, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_0))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_0 T_1) (All Y, ((distinct_points T_0 Y) => (-. (apart_point_and_line T_0 (line_connecting T_0 Y))))) ### All 19
% 0.14/0.37 21. (distinct_points T_0 T_1) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_0))) (apart_point_and_line T_2 (line_connecting 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 X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### All 20
% 0.14/0.37 22. (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (apart_point_and_line T_2 (line_connecting T_0 T_1))) ### Axiom
% 0.14/0.37 23. (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (apart_point_and_line T_2 (line_connecting T_0 T_1))) ### Axiom
% 0.14/0.37 24. (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_1))) (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_1)) ### Axiom
% 0.14/0.37 25. (distinct_points T_2 T_1) (-. (distinct_points T_2 T_1)) ### Axiom
% 0.14/0.37 26. (apart_point_and_line T_2 (line_connecting T_2 T_1)) (-. (apart_point_and_line T_2 (line_connecting T_2 T_1))) ### Axiom
% 0.14/0.37 27. ((distinct_points T_2 T_1) => (-. (apart_point_and_line T_2 (line_connecting T_2 T_1)))) (apart_point_and_line T_2 (line_connecting T_2 T_1)) (distinct_points T_2 T_1) ### Imply 25 26
% 0.14/0.37 28. (All Y, ((distinct_points T_2 Y) => (-. (apart_point_and_line T_2 (line_connecting T_2 Y))))) (distinct_points T_2 T_1) (apart_point_and_line T_2 (line_connecting T_2 T_1)) ### All 27
% 0.14/0.38 29. (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (apart_point_and_line T_2 (line_connecting T_2 T_1)) (distinct_points T_2 T_1) ### All 28
% 0.14/0.38 30. ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_1)) \/ (apart_point_and_line T_2 (line_connecting T_2 T_1)))) (distinct_points T_2 T_1) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_1))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) ### DisjTree 23 24 29
% 0.14/0.38 31. (All Z, ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_lines (line_connecting T_0 T_1) Z) \/ (apart_point_and_line T_2 Z)))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_1))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_2 T_1) ### All 30
% 0.14/0.38 32. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom
% 0.14/0.38 33. (apart_point_and_line T_1 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### Extension/test/ci2ctrp 32
% 0.14/0.38 34. ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_points T_2 T_1) \/ (apart_point_and_line T_1 (line_connecting T_0 T_1)))) (distinct_points T_0 T_1) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_1))) (All Z, ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_lines (line_connecting T_0 T_1) Z) \/ (apart_point_and_line T_2 Z)))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) ### DisjTree 22 31 33
% 0.14/0.38 35. (All Z, ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_points T_2 Z) \/ (apart_point_and_line Z (line_connecting T_0 T_1))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (All Z, ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_lines (line_connecting T_0 T_1) Z) \/ (apart_point_and_line T_2 Z)))) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_1))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_0 T_1) ### All 34
% 0.14/0.38 36. (All Y, (All Z, ((apart_point_and_line T_2 Y) => ((distinct_points T_2 Z) \/ (apart_point_and_line Z Y))))) (distinct_points T_0 T_1) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_1))) (All Z, ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_lines (line_connecting T_0 T_1) Z) \/ (apart_point_and_line T_2 Z)))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) ### All 35
% 0.14/0.38 37. (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_2 (line_connecting T_0 T_1)) (All Z, ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_lines (line_connecting T_0 T_1) Z) \/ (apart_point_and_line T_2 Z)))) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_1))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_0 T_1) ### All 36
% 0.14/0.38 38. (All Y, (All Z, ((apart_point_and_line T_2 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_2 Z))))) (distinct_points T_0 T_1) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_1))) (apart_point_and_line T_2 (line_connecting 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 37
% 0.14/0.38 39. (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, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_1))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_0 T_1) ### All 38
% 0.14/0.38 40. (-. ((distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_0)) /\ (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 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, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_0 T_1) ### NotAnd 21 39
% 0.14/0.38 41. (-. (((distinct_points T_0 T_1) /\ (apart_point_and_line T_2 (line_connecting T_0 T_1))) => ((distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_0)) /\ (distinct_lines (line_connecting T_0 T_1) (line_connecting T_2 T_1))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (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, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### ConjTree 40
% 0.14/0.38 42. (-. (All Z, (((distinct_points T_0 T_1) /\ (apart_point_and_line Z (line_connecting T_0 T_1))) => ((distinct_lines (line_connecting T_0 T_1) (line_connecting Z T_0)) /\ (distinct_lines (line_connecting T_0 T_1) (line_connecting Z 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, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotAllEx 41
% 0.14/0.38 43. (-. (All Y, (All Z, (((distinct_points T_0 Y) /\ (apart_point_and_line Z (line_connecting T_0 Y))) => ((distinct_lines (line_connecting T_0 Y) (line_connecting Z T_0)) /\ (distinct_lines (line_connecting T_0 Y) (line_connecting Z Y))))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (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, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotAllEx 42
% 0.14/0.38 44. (-. (All X, (All Y, (All Z, (((distinct_points X Y) /\ (apart_point_and_line Z (line_connecting X Y))) => ((distinct_lines (line_connecting X Y) (line_connecting Z X)) /\ (distinct_lines (line_connecting X Y) (line_connecting Z 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, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotAllEx 43
% 0.14/0.38 % SZS output end Proof
% 0.14/0.38 (* END-PROOF *)
%------------------------------------------------------------------------------