TSTP Solution File: GEO192+3 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO192+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 : n009.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 06:30:53 EDT 2022
% Result : Theorem 5.26s 5.44s
% Output : Proof 5.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO192+3 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 18:15:38 EDT 2022
% 0.14/0.36 % CPUTime :
% 5.26/5.44 % SZS status Theorem
% 5.26/5.44 (* PROOF-FOUND *)
% 5.26/5.44 (* BEGIN-PROOF *)
% 5.26/5.44 % SZS output start Proof
% 5.26/5.44 1. (apart_point_and_line (intersection_point T_0 T_1) T_2) (-. (apart_point_and_line (intersection_point T_0 T_1) T_2)) ### Axiom
% 5.26/5.44 2. (distinct_lines T_2 T_0) (-. (distinct_lines T_2 T_0)) ### Axiom
% 5.26/5.44 3. (distinct_lines T_2 T_2) (-. (distinct_lines T_2 T_2)) ### Axiom
% 5.26/5.44 4. (All X, (-. (distinct_lines X X))) (distinct_lines T_2 T_2) ### All 3
% 5.26/5.44 5. (-. (distinct_lines T_0 T_2)) (distinct_lines T_0 T_2) ### Axiom
% 5.26/5.44 6. ((distinct_lines T_2 T_0) => ((distinct_lines T_2 T_2) \/ (distinct_lines T_0 T_2))) (-. (distinct_lines T_0 T_2)) (All X, (-. (distinct_lines X X))) (distinct_lines T_2 T_0) ### DisjTree 2 4 5
% 5.26/5.44 7. (All Z, ((distinct_lines T_2 T_0) => ((distinct_lines T_2 Z) \/ (distinct_lines T_0 Z)))) (distinct_lines T_2 T_0) (All X, (-. (distinct_lines X X))) (-. (distinct_lines T_0 T_2)) ### All 6
% 5.26/5.44 8. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom
% 5.26/5.44 9. (apart_point_and_line (intersection_point T_0 T_1) T_0) (-. (apart_point_and_line (intersection_point T_0 T_1) T_0)) ### Axiom
% 5.26/5.44 10. ((convergent_lines T_0 T_1) => (-. (apart_point_and_line (intersection_point T_0 T_1) T_0))) (apart_point_and_line (intersection_point T_0 T_1) T_0) (convergent_lines T_0 T_1) ### Imply 8 9
% 5.26/5.44 11. (All Y, ((convergent_lines T_0 Y) => (-. (apart_point_and_line (intersection_point T_0 Y) T_0)))) (convergent_lines T_0 T_1) (apart_point_and_line (intersection_point T_0 T_1) T_0) ### All 10
% 5.26/5.44 12. (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (apart_point_and_line (intersection_point T_0 T_1) T_0) (convergent_lines T_0 T_1) ### All 11
% 5.26/5.44 13. ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_2 T_0) \/ (apart_point_and_line (intersection_point T_0 T_1) T_0))) (convergent_lines T_0 T_1) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (-. (distinct_lines T_0 T_2)) (All X, (-. (distinct_lines X X))) (All Z, ((distinct_lines T_2 T_0) => ((distinct_lines T_2 Z) \/ (distinct_lines T_0 Z)))) (apart_point_and_line (intersection_point T_0 T_1) T_2) ### DisjTree 1 7 12
% 5.26/5.44 14. (All Z, ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line (intersection_point T_0 T_1) Z)))) (apart_point_and_line (intersection_point T_0 T_1) T_2) (All Z, ((distinct_lines T_2 T_0) => ((distinct_lines T_2 Z) \/ (distinct_lines T_0 Z)))) (All X, (-. (distinct_lines X X))) (-. (distinct_lines T_0 T_2)) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (convergent_lines T_0 T_1) ### All 13
% 5.26/5.44 15. (All Y, (All Z, ((distinct_lines T_2 Y) => ((distinct_lines T_2 Z) \/ (distinct_lines Y Z))))) (convergent_lines T_0 T_1) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (-. (distinct_lines T_0 T_2)) (All X, (-. (distinct_lines X X))) (apart_point_and_line (intersection_point T_0 T_1) T_2) (All Z, ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line (intersection_point T_0 T_1) Z)))) ### All 14
% 5.26/5.44 16. (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All Z, ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line (intersection_point T_0 T_1) Z)))) (apart_point_and_line (intersection_point T_0 T_1) T_2) (All X, (-. (distinct_lines X X))) (-. (distinct_lines T_0 T_2)) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (convergent_lines T_0 T_1) ### All 15
% 5.26/5.44 17. (All Y, (All Z, ((apart_point_and_line (intersection_point T_0 T_1) Y) => ((distinct_lines Y Z) \/ (apart_point_and_line (intersection_point T_0 T_1) Z))))) (convergent_lines T_0 T_1) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (-. (distinct_lines T_0 T_2)) (All X, (-. (distinct_lines X X))) (apart_point_and_line (intersection_point T_0 T_1) T_2) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) ### All 16
% 5.26/5.44 18. (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_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (apart_point_and_line (intersection_point T_0 T_1) T_2) (All X, (-. (distinct_lines X X))) (-. (distinct_lines T_0 T_2)) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (convergent_lines T_0 T_1) ### All 17
% 5.26/5.44 19. (apart_point_and_line (intersection_point T_0 T_1) T_2) (-. (apart_point_and_line (intersection_point T_0 T_1) T_2)) ### Axiom
% 5.26/5.44 20. (distinct_lines T_2 T_1) (-. (distinct_lines T_2 T_1)) ### Axiom
% 5.26/5.44 21. (-. (distinct_lines T_1 T_2)) (distinct_lines T_1 T_2) ### Axiom
% 5.26/5.44 22. ((distinct_lines T_2 T_1) => ((distinct_lines T_2 T_2) \/ (distinct_lines T_1 T_2))) (-. (distinct_lines T_1 T_2)) (All X, (-. (distinct_lines X X))) (distinct_lines T_2 T_1) ### DisjTree 20 4 21
% 5.26/5.44 23. (All Z, ((distinct_lines T_2 T_1) => ((distinct_lines T_2 Z) \/ (distinct_lines T_1 Z)))) (distinct_lines T_2 T_1) (All X, (-. (distinct_lines X X))) (-. (distinct_lines T_1 T_2)) ### All 22
% 5.26/5.44 24. (All Y, (All Z, ((distinct_lines T_2 Y) => ((distinct_lines T_2 Z) \/ (distinct_lines Y Z))))) (-. (distinct_lines T_1 T_2)) (All X, (-. (distinct_lines X X))) (distinct_lines T_2 T_1) ### All 23
% 5.26/5.44 25. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom
% 5.26/5.44 26. (apart_point_and_line (intersection_point T_0 T_1) T_1) (-. (apart_point_and_line (intersection_point T_0 T_1) T_1)) ### Axiom
% 5.26/5.44 27. ((convergent_lines T_0 T_1) => (-. (apart_point_and_line (intersection_point T_0 T_1) T_1))) (apart_point_and_line (intersection_point T_0 T_1) T_1) (convergent_lines T_0 T_1) ### Imply 25 26
% 5.26/5.44 28. (All Y, ((convergent_lines T_0 Y) => (-. (apart_point_and_line (intersection_point T_0 Y) Y)))) (convergent_lines T_0 T_1) (apart_point_and_line (intersection_point T_0 T_1) T_1) ### All 27
% 5.26/5.44 29. (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) (apart_point_and_line (intersection_point T_0 T_1) T_1) (convergent_lines T_0 T_1) ### All 28
% 5.26/5.44 30. ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_2 T_1) \/ (apart_point_and_line (intersection_point T_0 T_1) T_1))) (convergent_lines T_0 T_1) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) (All X, (-. (distinct_lines X X))) (-. (distinct_lines T_1 T_2)) (All Y, (All Z, ((distinct_lines T_2 Y) => ((distinct_lines T_2 Z) \/ (distinct_lines Y Z))))) (apart_point_and_line (intersection_point T_0 T_1) T_2) ### DisjTree 19 24 29
% 5.26/5.44 31. (All Z, ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line (intersection_point T_0 T_1) Z)))) (apart_point_and_line (intersection_point T_0 T_1) T_2) (All Y, (All Z, ((distinct_lines T_2 Y) => ((distinct_lines T_2 Z) \/ (distinct_lines Y Z))))) (-. (distinct_lines T_1 T_2)) (All X, (-. (distinct_lines X X))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) (convergent_lines T_0 T_1) ### All 30
% 5.26/5.44 32. (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (convergent_lines T_0 T_1) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) (All X, (-. (distinct_lines X X))) (-. (distinct_lines T_1 T_2)) (apart_point_and_line (intersection_point T_0 T_1) T_2) (All Z, ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line (intersection_point T_0 T_1) Z)))) ### All 31
% 5.26/5.44 33. (All Y, (All Z, ((apart_point_and_line (intersection_point T_0 T_1) Y) => ((distinct_lines Y Z) \/ (apart_point_and_line (intersection_point T_0 T_1) Z))))) (apart_point_and_line (intersection_point T_0 T_1) T_2) (-. (distinct_lines T_1 T_2)) (All X, (-. (distinct_lines X X))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) (convergent_lines T_0 T_1) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) ### All 32
% 5.28/5.45 34. (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_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (convergent_lines T_0 T_1) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) (All X, (-. (distinct_lines X X))) (-. (distinct_lines T_1 T_2)) (apart_point_and_line (intersection_point T_0 T_1) T_2) ### All 33
% 5.28/5.45 35. (-. ((distinct_lines T_0 T_2) /\ (distinct_lines T_1 T_2))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) (convergent_lines T_0 T_1) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (-. (distinct_lines X X))) (apart_point_and_line (intersection_point T_0 T_1) T_2) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotAnd 18 34
% 5.28/5.45 36. (-. ((convergent_lines T_0 T_1) => ((apart_point_and_line (intersection_point T_0 T_1) T_2) => ((distinct_lines T_0 T_2) /\ (distinct_lines 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_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All X, (-. (distinct_lines X X))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) ### ConjTree 35
% 5.28/5.45 37. (-. (All Z, ((convergent_lines T_0 T_1) => ((apart_point_and_line (intersection_point T_0 T_1) Z) => ((distinct_lines T_0 Z) /\ (distinct_lines T_1 Z)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (-. (distinct_lines X X))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotAllEx 36
% 5.28/5.45 38. (-. (All Y, (All Z, ((convergent_lines T_0 Y) => ((apart_point_and_line (intersection_point T_0 Y) Z) => ((distinct_lines T_0 Z) /\ (distinct_lines Y Z))))))) (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_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All X, (-. (distinct_lines X X))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) ### NotAllEx 37
% 5.28/5.45 39. (-. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((apart_point_and_line (intersection_point X Y) Z) => ((distinct_lines X Z) /\ (distinct_lines Y Z)))))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) Y))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (-. (distinct_lines X X))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotAllEx 38
% 5.28/5.45 % SZS output end Proof
% 5.28/5.45 (* END-PROOF *)
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