TSTP Solution File: GEO218+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO218+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 : n012.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 06:31:15 EDT 2022
% Result : Theorem 7.62s 7.81s
% Output : Proof 7.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO218+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 18:25:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 7.62/7.81 % SZS status Theorem
% 7.62/7.81 (* PROOF-FOUND *)
% 7.62/7.81 (* BEGIN-PROOF *)
% 7.62/7.81 % SZS output start Proof
% 7.62/7.81 1. (-. (convergent_lines T_0 T_1)) (convergent_lines T_0 T_1) ### Axiom
% 7.62/7.81 2. (-. (-. (convergent_lines T_0 T_1))) (-. (convergent_lines T_0 T_1)) ### NotNot 1
% 7.62/7.81 3. (-. ((-. (convergent_lines T_0 T_1)) \/ (-. (unorthogonal_lines T_0 T_1)))) (-. (convergent_lines T_0 T_1)) ### NotOr 2
% 7.62/7.81 4. (-. (unorthogonal_lines T_0 T_2)) (unorthogonal_lines T_0 T_2) ### Axiom
% 7.62/7.81 5. (-. (-. (unorthogonal_lines T_0 T_2))) (-. (unorthogonal_lines T_0 T_2)) ### NotNot 4
% 7.62/7.81 6. (-. ((-. (convergent_lines T_0 T_2)) \/ (-. (unorthogonal_lines T_0 T_2)))) (-. (unorthogonal_lines T_0 T_2)) ### NotOr 5
% 7.62/7.81 7. (convergent_lines T_0 T_2) (-. (convergent_lines T_0 T_2)) ### Axiom
% 7.62/7.81 8. (convergent_lines T_0 T_0) (-. (convergent_lines T_0 T_0)) ### Axiom
% 7.62/7.81 9. (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_0) ### All 8
% 7.62/7.81 10. (convergent_lines T_2 T_0) (-. (convergent_lines T_2 T_0)) ### Axiom
% 7.62/7.81 11. (convergent_lines T_2 T_1) (-. (convergent_lines T_2 T_1)) ### Axiom
% 7.62/7.81 12. (-. (convergent_lines T_2 T_2)) (convergent_lines T_2 T_2) ### Axiom
% 7.62/7.81 13. (-. (convergent_lines T_1 T_2)) (convergent_lines T_1 T_2) ### Axiom
% 7.62/7.81 14. ((convergent_lines T_2 T_1) => ((convergent_lines T_2 T_2) \/ (convergent_lines T_1 T_2))) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_2 T_2)) (convergent_lines T_2 T_1) ### DisjTree 11 12 13
% 7.62/7.81 15. (All Z, ((convergent_lines T_2 T_1) => ((convergent_lines T_2 Z) \/ (convergent_lines T_1 Z)))) (convergent_lines T_2 T_1) (-. (convergent_lines T_2 T_2)) (-. (convergent_lines T_1 T_2)) ### All 14
% 7.62/7.81 16. (All Y, (All Z, ((convergent_lines T_2 Y) => ((convergent_lines T_2 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_2 T_2)) (convergent_lines T_2 T_1) ### All 15
% 7.62/7.81 17. (-. (convergent_lines T_0 T_1)) (convergent_lines T_0 T_1) ### Axiom
% 7.62/7.81 18. ((convergent_lines T_2 T_0) => ((convergent_lines T_2 T_1) \/ (convergent_lines T_0 T_1))) (-. (convergent_lines T_0 T_1)) (-. (convergent_lines T_2 T_2)) (-. (convergent_lines T_1 T_2)) (All Y, (All Z, ((convergent_lines T_2 Y) => ((convergent_lines T_2 Z) \/ (convergent_lines Y Z))))) (convergent_lines T_2 T_0) ### DisjTree 10 16 17
% 7.62/7.81 19. (All Z, ((convergent_lines T_2 T_0) => ((convergent_lines T_2 Z) \/ (convergent_lines T_0 Z)))) (convergent_lines T_2 T_0) (All Y, (All Z, ((convergent_lines T_2 Y) => ((convergent_lines T_2 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_2 T_2)) (-. (convergent_lines T_0 T_1)) ### All 18
% 7.62/7.81 20. (-. (convergent_lines T_0 T_1)) (-. (convergent_lines T_2 T_2)) (-. (convergent_lines T_1 T_2)) (All Y, (All Z, ((convergent_lines T_2 Y) => ((convergent_lines T_2 Z) \/ (convergent_lines Y Z))))) (convergent_lines T_2 T_0) ### All 19
% 7.62/7.81 21. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (convergent_lines T_2 T_0) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_2 T_2)) (-. (convergent_lines T_0 T_1)) ### All 20
% 7.62/7.81 22. ((convergent_lines T_0 T_2) => ((convergent_lines T_0 T_0) \/ (convergent_lines T_2 T_0))) (-. (convergent_lines T_0 T_1)) (-. (convergent_lines T_2 T_2)) (-. (convergent_lines T_1 T_2)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_2) ### DisjTree 7 9 21
% 7.62/7.81 23. (All Z, ((convergent_lines T_0 T_2) => ((convergent_lines T_0 Z) \/ (convergent_lines T_2 Z)))) (convergent_lines T_0 T_2) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_2 T_2)) (-. (convergent_lines T_0 T_1)) ### All 22
% 7.62/7.81 24. (unorthogonal_lines T_1 T_2) (-. (unorthogonal_lines T_1 T_2)) ### Axiom
% 7.62/7.81 25. ((((-. (convergent_lines T_0 T_1)) \/ (-. (unorthogonal_lines T_0 T_1))) /\ ((-. (convergent_lines T_0 T_2)) \/ (-. (unorthogonal_lines T_0 T_2)))) => ((-. (convergent_lines T_1 T_2)) \/ (-. (unorthogonal_lines T_1 T_2)))) (unorthogonal_lines T_1 T_2) (-. (convergent_lines T_2 T_2)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_2) (All Z, ((convergent_lines T_0 T_2) => ((convergent_lines T_0 Z) \/ (convergent_lines T_2 Z)))) (-. (unorthogonal_lines T_0 T_2)) (-. (convergent_lines T_0 T_1)) ### DisjTree 3 6 23 24
% 7.62/7.81 26. (All N, ((((-. (convergent_lines T_0 T_1)) \/ (-. (unorthogonal_lines T_0 T_1))) /\ ((-. (convergent_lines T_0 N)) \/ (-. (unorthogonal_lines T_0 N)))) => ((-. (convergent_lines T_1 N)) \/ (-. (unorthogonal_lines T_1 N))))) (-. (convergent_lines T_0 T_1)) (-. (unorthogonal_lines T_0 T_2)) (All Z, ((convergent_lines T_0 T_2) => ((convergent_lines T_0 Z) \/ (convergent_lines T_2 Z)))) (convergent_lines T_0 T_2) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_2 T_2)) (unorthogonal_lines T_1 T_2) ### All 25
% 7.62/7.81 27. (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (unorthogonal_lines T_1 T_2) (-. (convergent_lines T_2 T_2)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_2) (-. (unorthogonal_lines T_0 T_2)) (-. (convergent_lines T_0 T_1)) (All N, ((((-. (convergent_lines T_0 T_1)) \/ (-. (unorthogonal_lines T_0 T_1))) /\ ((-. (convergent_lines T_0 N)) \/ (-. (unorthogonal_lines T_0 N)))) => ((-. (convergent_lines T_1 N)) \/ (-. (unorthogonal_lines T_1 N))))) ### All 26
% 7.62/7.81 28. (All M, (All N, ((((-. (convergent_lines T_0 M)) \/ (-. (unorthogonal_lines T_0 M))) /\ ((-. (convergent_lines T_0 N)) \/ (-. (unorthogonal_lines T_0 N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N)))))) (-. (convergent_lines T_0 T_1)) (-. (unorthogonal_lines T_0 T_2)) (convergent_lines T_0 T_2) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_2 T_2)) (unorthogonal_lines T_1 T_2) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) ### All 27
% 7.62/7.81 29. (unorthogonal_lines T_1 T_2) (-. (convergent_lines T_2 T_2)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_2) (-. (unorthogonal_lines T_0 T_2)) (-. (convergent_lines T_0 T_1)) (All M, (All N, ((((-. (convergent_lines T_0 M)) \/ (-. (unorthogonal_lines T_0 M))) /\ ((-. (convergent_lines T_0 N)) \/ (-. (unorthogonal_lines T_0 N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N)))))) ### All 28
% 7.62/7.81 30. (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) (-. (convergent_lines T_0 T_1)) (-. (unorthogonal_lines T_0 T_2)) (convergent_lines T_0 T_2) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_2 T_2)) (unorthogonal_lines T_1 T_2) ### All 29
% 7.62/7.81 31. (unorthogonal_lines T_1 T_2) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_2) (-. (unorthogonal_lines T_0 T_2)) (-. (convergent_lines T_0 T_1)) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) ### All 30
% 7.62/7.81 32. (-. (-. (convergent_lines T_0 T_2))) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) (-. (convergent_lines T_0 T_1)) (-. (unorthogonal_lines T_0 T_2)) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (unorthogonal_lines T_1 T_2) ### NotNot 31
% 7.62/7.83 33. (-. ((-. (convergent_lines T_0 T_2)) /\ (-. (unorthogonal_lines T_0 T_2)))) (unorthogonal_lines T_1 T_2) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (-. (unorthogonal_lines T_0 T_2)) (-. (convergent_lines T_0 T_1)) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) ### NotAnd 32 5
% 7.62/7.83 34. (All M, (-. ((-. (convergent_lines T_0 M)) /\ (-. (unorthogonal_lines T_0 M))))) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) (-. (convergent_lines T_0 T_1)) (-. (unorthogonal_lines T_0 T_2)) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (unorthogonal_lines T_1 T_2) ### All 33
% 7.62/7.83 35. (All L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L M)))))) (unorthogonal_lines T_1 T_2) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (-. (unorthogonal_lines T_0 T_2)) (-. (convergent_lines T_0 T_1)) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) ### All 34
% 7.62/7.83 36. (-. (((-. (convergent_lines T_0 T_1)) /\ (-. (unorthogonal_lines T_0 T_2))) => (-. (unorthogonal_lines T_1 T_2)))) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L M)))))) ### ConjTree 35
% 7.62/7.83 37. (-. (All N, (((-. (convergent_lines T_0 T_1)) /\ (-. (unorthogonal_lines T_0 N))) => (-. (unorthogonal_lines T_1 N))))) (All L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L M)))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) ### NotAllEx 36
% 7.62/7.83 38. (-. (All M, (All N, (((-. (convergent_lines T_0 M)) /\ (-. (unorthogonal_lines T_0 N))) => (-. (unorthogonal_lines M N)))))) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L M)))))) ### NotAllEx 37
% 7.62/7.83 39. (-. (All L, (All M, (All N, (((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L N))) => (-. (unorthogonal_lines M N))))))) (All L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L M)))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) ### NotAllEx 38
% 7.62/7.83 % SZS output end Proof
% 7.62/7.83 (* END-PROOF *)
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