TSTP Solution File: GEO192+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO192+1 : 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 : n028.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 06:30:52 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO192+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n028.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 05:31:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 (* PROOF-FOUND *)
% 0.19/0.43 (* BEGIN-PROOF *)
% 0.19/0.43 % SZS output start Proof
% 0.19/0.43 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
% 0.19/0.43 2. (distinct_lines T_2 T_0) (-. (distinct_lines T_2 T_0)) ### Axiom
% 0.19/0.43 3. (distinct_lines T_2 T_2) ### Extension/test/apart2
% 0.19/0.43 4. (-. (distinct_lines T_0 T_2)) (distinct_lines T_0 T_2) ### Axiom
% 0.19/0.43 5. ((distinct_lines T_2 T_0) => ((distinct_lines T_2 T_2) \/ (distinct_lines T_0 T_2))) (-. (distinct_lines T_0 T_2)) (distinct_lines T_2 T_0) ### DisjTree 2 3 4
% 0.19/0.43 6. (All Z, ((distinct_lines T_2 T_0) => ((distinct_lines T_2 Z) \/ (distinct_lines T_0 Z)))) (distinct_lines T_2 T_0) (-. (distinct_lines T_0 T_2)) ### All 5
% 0.19/0.43 7. (All Y, (All Z, ((distinct_lines T_2 Y) => ((distinct_lines T_2 Z) \/ (distinct_lines Y Z))))) (-. (distinct_lines T_0 T_2)) (distinct_lines T_2 T_0) ### All 6
% 0.19/0.43 8. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom
% 0.19/0.43 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
% 0.19/0.43 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
% 0.19/0.43 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
% 0.19/0.43 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
% 0.19/0.43 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 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 1 7 12
% 0.19/0.43 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 Y, (All Z, ((distinct_lines T_2 Y) => ((distinct_lines T_2 Z) \/ (distinct_lines Y Z))))) (-. (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
% 0.19/0.43 15. (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) X))))) (-. (distinct_lines T_0 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 14
% 0.19/0.43 16. (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_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 X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) ### All 15
% 0.19/0.43 17. (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) X))))) (-. (distinct_lines T_0 T_2)) (apart_point_and_line (intersection_point T_0 T_1) T_2) ### All 16
% 0.19/0.43 18. (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
% 0.19/0.43 19. (-. (distinct_lines T_2 T_1)) (distinct_lines T_2 T_1) ### Axiom
% 0.19/0.43 20. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom
% 0.19/0.43 21. (apart_point_and_line (intersection_point T_0 T_1) T_1) (convergent_lines T_0 T_1) ### Extension/test/ci4ctrp 20
% 0.19/0.43 22. ((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) (-. (distinct_lines T_2 T_1)) (apart_point_and_line (intersection_point T_0 T_1) T_2) ### DisjTree 18 19 21
% 0.19/0.43 23. (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) (-. (distinct_lines T_2 T_1)) (convergent_lines T_0 T_1) ### All 22
% 0.19/0.43 24. (-. (distinct_lines T_1 T_2)) (distinct_lines T_1 T_2) ### Axiom
% 0.19/0.43 25. ((distinct_lines T_2 T_1) => ((distinct_lines T_2 T_2) \/ (distinct_lines T_1 T_2))) (-. (distinct_lines T_1 T_2)) (convergent_lines T_0 T_1) (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)))) ### DisjTree 23 3 24
% 0.19/0.43 26. (All Z, ((distinct_lines T_2 T_1) => ((distinct_lines T_2 Z) \/ (distinct_lines T_1 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) (convergent_lines T_0 T_1) (-. (distinct_lines T_1 T_2)) ### All 25
% 0.19/0.43 27. (All Y, (All Z, ((distinct_lines T_2 Y) => ((distinct_lines T_2 Z) \/ (distinct_lines Y Z))))) (-. (distinct_lines T_1 T_2)) (convergent_lines T_0 T_1) (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 26
% 0.19/0.43 28. (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) (convergent_lines T_0 T_1) (-. (distinct_lines T_1 T_2)) ### All 27
% 0.19/0.43 29. (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))))) (-. (distinct_lines T_1 T_2)) (convergent_lines T_0 T_1) (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 28
% 0.19/0.43 30. (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) (convergent_lines T_0 T_1) (-. (distinct_lines T_1 T_2)) ### All 29
% 0.19/0.43 31. (-. ((distinct_lines T_0 T_2) /\ (distinct_lines T_1 T_2))) (apart_point_and_line (intersection_point T_0 T_1) 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 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 17 30
% 0.19/0.43 32. (-. ((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, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### ConjTree 31
% 0.19/0.43 33. (-. (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) 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 32
% 0.19/0.43 34. (-. (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, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### NotAllEx 33
% 0.19/0.43 35. (-. (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) 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 34
% 0.19/0.43 % SZS output end Proof
% 0.19/0.43 (* END-PROOF *)
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