TSTP Solution File: GEO206+3 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% 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 06:31:05 EDT 2022
% Result : Theorem 12.86s 13.07s
% Output : Proof 12.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% 0.11/0.12 % 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 15:33:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 12.86/13.07 % SZS status Theorem
% 12.86/13.07 (* PROOF-FOUND *)
% 12.86/13.07 (* BEGIN-PROOF *)
% 12.86/13.07 % SZS output start Proof
% 12.86/13.07 1. (distinct_lines T_0 (parallel_through_point T_1 T_2)) (-. (distinct_lines T_0 (parallel_through_point T_1 T_2))) ### Axiom
% 12.86/13.07 2. (distinct_lines T_0 T_1) (-. (distinct_lines T_0 T_1)) ### Axiom
% 12.86/13.07 3. (-. (convergent_lines T_0 T_1)) (convergent_lines T_0 T_1) ### Axiom
% 12.86/13.07 4. ((distinct_lines T_0 T_1) => (convergent_lines T_0 T_1)) (-. (convergent_lines T_0 T_1)) (distinct_lines T_0 T_1) ### Imply 2 3
% 12.86/13.07 5. (All Y, ((distinct_lines T_0 Y) => (convergent_lines T_0 Y))) (distinct_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### All 4
% 12.86/13.07 6. (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (-. (convergent_lines T_0 T_1)) (distinct_lines T_0 T_1) ### All 5
% 12.86/13.07 7. (distinct_lines (parallel_through_point T_1 T_2) T_1) (-. (distinct_lines (parallel_through_point T_1 T_2) T_1)) ### Axiom
% 12.86/13.07 8. (convergent_lines (parallel_through_point T_1 T_2) T_1) (-. (convergent_lines (parallel_through_point T_1 T_2) T_1)) ### Axiom
% 12.86/13.07 9. (All Y, (-. (convergent_lines (parallel_through_point Y T_2) Y))) (convergent_lines (parallel_through_point T_1 T_2) T_1) ### All 8
% 12.86/13.07 10. (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (convergent_lines (parallel_through_point T_1 T_2) T_1) ### All 9
% 12.86/13.07 11. ((distinct_lines (parallel_through_point T_1 T_2) T_1) => (convergent_lines (parallel_through_point T_1 T_2) T_1)) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (distinct_lines (parallel_through_point T_1 T_2) T_1) ### Imply 7 10
% 12.86/13.07 12. (All Y, ((distinct_lines (parallel_through_point T_1 T_2) Y) => (convergent_lines (parallel_through_point T_1 T_2) Y))) (distinct_lines (parallel_through_point T_1 T_2) T_1) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) ### All 11
% 12.86/13.07 13. ((distinct_lines T_0 (parallel_through_point T_1 T_2)) => ((distinct_lines T_0 T_1) \/ (distinct_lines (parallel_through_point T_1 T_2) T_1))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All Y, ((distinct_lines (parallel_through_point T_1 T_2) Y) => (convergent_lines (parallel_through_point T_1 T_2) Y))) (-. (convergent_lines T_0 T_1)) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (distinct_lines T_0 (parallel_through_point T_1 T_2)) ### DisjTree 1 6 12
% 12.86/13.07 14. (All Z, ((distinct_lines T_0 (parallel_through_point T_1 T_2)) => ((distinct_lines T_0 Z) \/ (distinct_lines (parallel_through_point T_1 T_2) Z)))) (distinct_lines T_0 (parallel_through_point T_1 T_2)) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (-. (convergent_lines T_0 T_1)) (All Y, ((distinct_lines (parallel_through_point T_1 T_2) Y) => (convergent_lines (parallel_through_point T_1 T_2) Y))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) ### All 13
% 12.86/13.07 15. (All Y, (All Z, ((distinct_lines T_0 Y) => ((distinct_lines T_0 Z) \/ (distinct_lines Y Z))))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All Y, ((distinct_lines (parallel_through_point T_1 T_2) Y) => (convergent_lines (parallel_through_point T_1 T_2) Y))) (-. (convergent_lines T_0 T_1)) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (distinct_lines T_0 (parallel_through_point T_1 T_2)) ### All 14
% 12.86/13.07 16. (distinct_lines T_0 (parallel_through_point T_1 T_2)) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (-. (convergent_lines T_0 T_1)) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All Y, (All Z, ((distinct_lines T_0 Y) => ((distinct_lines T_0 Z) \/ (distinct_lines Y Z))))) ### All 15
% 12.86/13.07 17. (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (-. (convergent_lines T_0 T_1)) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (distinct_lines T_0 (parallel_through_point T_1 T_2)) ### All 16
% 12.86/13.07 18. (-. (-. (distinct_lines T_0 (parallel_through_point T_1 T_2)))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (-. (convergent_lines T_0 T_1)) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) ### NotNot 17
% 12.86/13.07 19. (-. (equal_lines T_0 (parallel_through_point 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, (-. (convergent_lines (parallel_through_point Y X) Y)))) (-. (convergent_lines T_0 T_1)) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) ### Definition-Pseudo(equal_lines) 18
% 12.86/13.07 20. (parallel_lines T_0 T_1) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (-. (equal_lines T_0 (parallel_through_point T_1 T_2))) ### Definition-Pseudo(parallel_lines) 19
% 12.86/13.07 21. (-. (((incident_point_and_line T_2 T_0) /\ (parallel_lines T_0 T_1)) => (equal_lines T_0 (parallel_through_point 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, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) ### ConjTree 20
% 12.86/13.07 22. (-. (All Z, (((incident_point_and_line T_2 T_0) /\ (parallel_lines T_0 Z)) => (equal_lines T_0 (parallel_through_point Z T_2))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) ### NotAllEx 21
% 12.86/13.07 23. (-. (All Y, (All Z, (((incident_point_and_line T_2 Y) /\ (parallel_lines Y Z)) => (equal_lines Y (parallel_through_point Z T_2)))))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) ### NotAllEx 22
% 12.86/13.07 24. (-. (All X, (All Y, (All Z, (((incident_point_and_line X Y) /\ (parallel_lines Y Z)) => (equal_lines Y (parallel_through_point Z X))))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All X, (All Y, (All Z, ((distinct_lines X Y) => ((distinct_lines X Z) \/ (distinct_lines Y Z)))))) ### NotAllEx 23
% 12.86/13.07 % SZS output end Proof
% 12.86/13.07 (* END-PROOF *)
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