TSTP Solution File: GEO176+3 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO176+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 : n019.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 06:30:39 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO176+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n019.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 : Fri Jun 17 22:40:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 (* PROOF-FOUND *)
% 0.19/0.45 (* BEGIN-PROOF *)
% 0.19/0.45 % SZS output start Proof
% 0.19/0.45 1. (apart_point_and_line T_0 T_1) (-. (apart_point_and_line T_0 T_1)) ### Axiom
% 0.19/0.45 2. (apart_point_and_line T_0 T_1) (-. (apart_point_and_line T_0 T_1)) ### Axiom
% 0.19/0.45 3. (-. (distinct_points T_0 (intersection_point T_1 T_2))) (distinct_points T_0 (intersection_point T_1 T_2)) ### Axiom
% 0.19/0.45 4. (distinct_lines T_1 T_2) (-. (distinct_lines T_1 T_2)) ### Axiom
% 0.19/0.45 5. (-. (convergent_lines T_1 T_2)) (distinct_lines T_1 T_2) ### Extension/test/p1ctrp 4
% 0.19/0.45 6. (apart_point_and_line (intersection_point T_1 T_2) T_1) (-. (apart_point_and_line (intersection_point T_1 T_2) T_1)) ### Axiom
% 0.19/0.45 7. ((convergent_lines T_1 T_2) => (-. (apart_point_and_line (intersection_point T_1 T_2) T_1))) (apart_point_and_line (intersection_point T_1 T_2) T_1) (distinct_lines T_1 T_2) ### Imply 5 6
% 0.19/0.45 8. (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (distinct_lines T_1 T_2) (apart_point_and_line (intersection_point T_1 T_2) T_1) ### All 7
% 0.19/0.45 9. ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 (intersection_point T_1 T_2)) \/ (apart_point_and_line (intersection_point T_1 T_2) T_1))) (distinct_lines T_1 T_2) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_1) ### DisjTree 2 3 8
% 0.19/0.45 10. (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_1)))) (apart_point_and_line T_0 T_1) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (distinct_lines T_1 T_2) ### All 9
% 0.19/0.45 11. (-. (apart_point_and_line T_0 T_2)) (apart_point_and_line T_0 T_2) ### Axiom
% 0.19/0.45 12. ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 T_2) \/ (apart_point_and_line T_0 T_2))) (-. (apart_point_and_line T_0 T_2)) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_1)))) (apart_point_and_line T_0 T_1) ### DisjTree 1 10 11
% 0.19/0.45 13. (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 Z) \/ (apart_point_and_line T_0 Z)))) (apart_point_and_line T_0 T_1) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (apart_point_and_line T_0 T_2)) ### All 12
% 0.19/0.45 14. (-. (distinct_points T_0 (intersection_point T_1 T_2))) (distinct_points T_0 (intersection_point T_1 T_2)) ### Axiom
% 0.19/0.45 15. (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (apart_point_and_line (intersection_point T_1 T_2) T_2) ### Axiom
% 0.19/0.45 16. ((apart_point_and_line T_0 T_2) => ((distinct_points T_0 (intersection_point T_1 T_2)) \/ (apart_point_and_line (intersection_point T_1 T_2) T_2))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_1)))) (apart_point_and_line T_0 T_1) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 Z) \/ (apart_point_and_line T_0 Z)))) ### DisjTree 13 14 15
% 0.19/0.45 17. (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_2)))) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 Z) \/ (apart_point_and_line T_0 Z)))) (apart_point_and_line T_0 T_1) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) ### All 16
% 0.19/0.45 18. (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z Y))))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_1)))) (apart_point_and_line T_0 T_1) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 Z) \/ (apart_point_and_line T_0 Z)))) ### All 17
% 0.19/0.45 19. (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 Z) \/ (apart_point_and_line T_0 Z)))) (apart_point_and_line T_0 T_1) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z Y))))) ### All 18
% 0.19/0.45 20. (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 (intersection_point T_1 T_2) T_2)) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_1) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 Z) \/ (apart_point_and_line T_0 Z)))) ### All 19
% 0.19/0.45 21. (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_0 Z))))) (apart_point_and_line T_0 T_1) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) ### All 20
% 0.19/0.45 22. (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (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 (intersection_point T_1 T_2) T_2)) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_1) (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_0 Z))))) ### All 21
% 0.19/0.45 23. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) (apart_point_and_line T_0 T_1) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (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, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### All 22
% 0.19/0.45 24. (apart_point_and_line T_0 T_2) (-. (apart_point_and_line T_0 T_2)) ### Axiom
% 0.19/0.45 25. (-. (distinct_points T_0 (intersection_point T_1 T_2))) (distinct_points T_0 (intersection_point T_1 T_2)) ### Axiom
% 0.19/0.45 26. (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (apart_point_and_line (intersection_point T_1 T_2) T_2) ### Axiom
% 0.19/0.45 27. ((apart_point_and_line T_0 T_2) => ((distinct_points T_0 (intersection_point T_1 T_2)) \/ (apart_point_and_line (intersection_point T_1 T_2) T_2))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_2) ### DisjTree 24 25 26
% 0.19/0.45 28. (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_2)))) (apart_point_and_line T_0 T_2) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) ### All 27
% 0.19/0.45 29. (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z Y))))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_2) ### All 28
% 0.19/0.45 30. (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_0 T_2) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) ### All 29
% 0.19/0.45 31. ((apart_point_and_line T_0 T_1) \/ (apart_point_and_line T_0 T_2)) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (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 (intersection_point T_1 T_2) T_2)) (-. (distinct_points T_0 (intersection_point 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)))))) ### Or 23 30
% 0.19/0.45 32. (convergent_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)))))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (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, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ((apart_point_and_line T_0 T_1) \/ (apart_point_and_line T_0 T_2)) ### Extension/test/ci4 31
% 0.19/0.45 33. (-. (((distinct_points T_0 T_3) /\ ((convergent_lines T_1 T_2) /\ ((apart_point_and_line T_0 T_1) \/ (apart_point_and_line T_0 T_2)))) => (distinct_points T_0 (intersection_point T_1 T_2)))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (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 32
% 0.19/0.45 34. (-. (All V, (((distinct_points T_0 T_3) /\ ((convergent_lines T_1 V) /\ ((apart_point_and_line T_0 T_1) \/ (apart_point_and_line T_0 V)))) => (distinct_points T_0 (intersection_point T_1 V))))) (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, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### NotAllEx 33
% 0.19/0.45 35. (-. (All U, (All V, (((distinct_points T_0 T_3) /\ ((convergent_lines U V) /\ ((apart_point_and_line T_0 U) \/ (apart_point_and_line T_0 V)))) => (distinct_points T_0 (intersection_point U V)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (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 34
% 0.19/0.45 36. (-. (All Y, (All U, (All V, (((distinct_points T_0 Y) /\ ((convergent_lines U V) /\ ((apart_point_and_line T_0 U) \/ (apart_point_and_line T_0 V)))) => (distinct_points T_0 (intersection_point U V))))))) (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, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### NotAllEx 35
% 0.19/0.45 37. (-. (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ ((convergent_lines U V) /\ ((apart_point_and_line X U) \/ (apart_point_and_line X V)))) => (distinct_points X (intersection_point U V)))))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (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 36
% 0.19/0.45 % SZS output end Proof
% 0.19/0.45 (* END-PROOF *)
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