TSTP Solution File: GEO219+2 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO219+2 : 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 : n015.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 06:31:16 EDT 2022
% Result : Theorem 10.39s 10.58s
% Output : Proof 10.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO219+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 04:09:28 EDT 2022
% 0.14/0.34 % CPUTime :
% 10.39/10.58 % SZS status Theorem
% 10.39/10.58 (* PROOF-FOUND *)
% 10.39/10.58 (* BEGIN-PROOF *)
% 10.39/10.58 % SZS output start Proof
% 10.39/10.58 1. (-. (unorthogonal_lines T_0 T_1)) (unorthogonal_lines T_0 T_1) ### Axiom
% 10.39/10.58 2. (-. (-. (unorthogonal_lines T_0 T_1))) (-. (unorthogonal_lines T_0 T_1)) ### NotNot 1
% 10.39/10.58 3. (-. ((-. (convergent_lines T_0 T_1)) \/ (-. (unorthogonal_lines T_0 T_1)))) (-. (unorthogonal_lines T_0 T_1)) ### NotOr 2
% 10.39/10.58 4. (-. (convergent_lines T_0 T_2)) (convergent_lines T_0 T_2) ### Axiom
% 10.39/10.58 5. (-. (-. (convergent_lines T_0 T_2))) (-. (convergent_lines T_0 T_2)) ### NotNot 4
% 10.39/10.58 6. (-. ((-. (convergent_lines T_0 T_2)) \/ (-. (unorthogonal_lines T_0 T_2)))) (-. (convergent_lines T_0 T_2)) ### NotOr 5
% 10.39/10.58 7. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom
% 10.39/10.58 8. (-. (convergent_lines T_0 T_2)) (convergent_lines T_0 T_2) ### Axiom
% 10.39/10.58 9. (-. (convergent_lines T_1 T_2)) (convergent_lines T_1 T_2) ### Axiom
% 10.39/10.58 10. ((convergent_lines T_0 T_1) => ((convergent_lines T_0 T_2) \/ (convergent_lines T_1 T_2))) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_0 T_2)) (convergent_lines T_0 T_1) ### DisjTree 7 8 9
% 10.39/10.58 11. (All Z, ((convergent_lines T_0 T_1) => ((convergent_lines T_0 Z) \/ (convergent_lines T_1 Z)))) (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_2)) (-. (convergent_lines T_1 T_2)) ### All 10
% 10.39/10.58 12. (unorthogonal_lines T_1 T_2) (-. (unorthogonal_lines T_1 T_2)) ### Axiom
% 10.39/10.58 13. ((((-. (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_0 T_1) (All Z, ((convergent_lines T_0 T_1) => ((convergent_lines T_0 Z) \/ (convergent_lines T_1 Z)))) (-. (convergent_lines T_0 T_2)) (-. (unorthogonal_lines T_0 T_1)) ### DisjTree 3 6 11 12
% 10.39/10.58 14. (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))))) (-. (unorthogonal_lines T_0 T_1)) (-. (convergent_lines T_0 T_2)) (All Z, ((convergent_lines T_0 T_1) => ((convergent_lines T_0 Z) \/ (convergent_lines T_1 Z)))) (convergent_lines T_0 T_1) (unorthogonal_lines T_1 T_2) ### All 13
% 10.39/10.58 15. (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)))))) (unorthogonal_lines T_1 T_2) (convergent_lines T_0 T_1) (All Z, ((convergent_lines T_0 T_1) => ((convergent_lines T_0 Z) \/ (convergent_lines T_1 Z)))) (-. (convergent_lines T_0 T_2)) (-. (unorthogonal_lines T_0 T_1)) ### All 14
% 10.39/10.58 16. (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (-. (unorthogonal_lines T_0 T_1)) (-. (convergent_lines T_0 T_2)) (convergent_lines T_0 T_1) (unorthogonal_lines T_1 T_2) (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 15
% 10.39/10.58 17. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (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)))))) (unorthogonal_lines T_1 T_2) (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_2)) (-. (unorthogonal_lines T_0 T_1)) ### All 16
% 10.39/10.58 18. (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))))))) (-. (unorthogonal_lines T_0 T_1)) (-. (convergent_lines T_0 T_2)) (convergent_lines T_0 T_1) (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 17
% 10.39/10.58 19. (-. (-. (convergent_lines T_0 T_1))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (unorthogonal_lines T_1 T_2) (-. (convergent_lines T_0 T_2)) (-. (unorthogonal_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))))))) ### NotNot 18
% 10.39/10.58 20. (-. ((-. (convergent_lines T_0 T_1)) /\ (-. (unorthogonal_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))))))) (-. (unorthogonal_lines T_0 T_1)) (-. (convergent_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)))))) ### NotAnd 19 2
% 10.39/10.58 21. (All M, (-. ((-. (convergent_lines T_0 M)) /\ (-. (unorthogonal_lines T_0 M))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (unorthogonal_lines T_1 T_2) (-. (convergent_lines T_0 T_2)) (-. (unorthogonal_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 20
% 10.39/10.58 22. (All L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L 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))))))) (-. (unorthogonal_lines T_0 T_1)) (-. (convergent_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 21
% 10.39/10.58 23. (-. (((-. (unorthogonal_lines T_0 T_1)) /\ (-. (convergent_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 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 L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L M)))))) ### ConjTree 22
% 10.39/10.58 24. (-. (All N, (((-. (unorthogonal_lines T_0 T_1)) /\ (-. (convergent_lines T_0 N))) => (-. (unorthogonal_lines T_1 N))))) (All L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L 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))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 23
% 10.39/10.58 25. (-. (All M, (All N, (((-. (unorthogonal_lines T_0 M)) /\ (-. (convergent_lines T_0 N))) => (-. (unorthogonal_lines M N)))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (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 L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L M)))))) ### NotAllEx 24
% 10.39/10.58 26. (-. (All L, (All M, (All N, (((-. (unorthogonal_lines L M)) /\ (-. (convergent_lines L N))) => (-. (unorthogonal_lines M N))))))) (All L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L 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))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 25
% 10.39/10.58 % SZS output end Proof
% 10.39/10.58 (* END-PROOF *)
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