TSTP Solution File: GEO217+3 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO217+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 : n029.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 06:31:14 EDT 2022
% Result : Theorem 21.32s 21.50s
% Output : Proof 21.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO217+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n029.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 08:50:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 21.32/21.50 % SZS status Theorem
% 21.32/21.50 (* PROOF-FOUND *)
% 21.32/21.50 (* BEGIN-PROOF *)
% 21.32/21.50 % SZS output start Proof
% 21.32/21.50 1. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom
% 21.32/21.50 2. (-. (convergent_lines T_0 T_0)) (convergent_lines T_0 T_0) ### Axiom
% 21.32/21.50 3. (convergent_lines T_1 T_0) (-. (convergent_lines T_1 T_0)) ### Axiom
% 21.32/21.50 4. (distinct_lines T_0 T_2) (-. (distinct_lines T_0 T_2)) ### Axiom
% 21.32/21.50 5. (convergent_lines T_0 T_2) (-. (convergent_lines T_0 T_2)) ### Axiom
% 21.32/21.50 6. (-. (convergent_lines T_0 T_0)) (convergent_lines T_0 T_0) ### Axiom
% 21.32/21.50 7. (-. (convergent_lines T_2 T_0)) (convergent_lines T_2 T_0) ### Axiom
% 21.32/21.50 8. ((convergent_lines T_0 T_2) => ((convergent_lines T_0 T_0) \/ (convergent_lines T_2 T_0))) (-. (convergent_lines T_2 T_0)) (-. (convergent_lines T_0 T_0)) (convergent_lines T_0 T_2) ### DisjTree 5 6 7
% 21.32/21.50 9. (All Z, ((convergent_lines T_0 T_2) => ((convergent_lines T_0 Z) \/ (convergent_lines T_2 Z)))) (convergent_lines T_0 T_2) (-. (convergent_lines T_0 T_0)) (-. (convergent_lines T_2 T_0)) ### All 8
% 21.32/21.50 10. (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_2 T_0)) (-. (convergent_lines T_0 T_0)) (convergent_lines T_0 T_2) ### All 9
% 21.32/21.50 11. ((distinct_lines T_0 T_2) => (convergent_lines T_0 T_2)) (-. (convergent_lines T_0 T_0)) (-. (convergent_lines T_2 T_0)) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (distinct_lines T_0 T_2) ### Imply 4 10
% 21.32/21.50 12. (All Y, ((distinct_lines T_0 Y) => (convergent_lines T_0 Y))) (distinct_lines T_0 T_2) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_2 T_0)) (-. (convergent_lines T_0 T_0)) ### All 11
% 21.32/21.50 13. (-. (convergent_lines T_1 T_2)) (convergent_lines T_1 T_2) ### Axiom
% 21.32/21.50 14. ((convergent_lines T_1 T_0) => ((distinct_lines T_0 T_2) \/ (convergent_lines T_1 T_2))) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_0 T_0)) (-. (convergent_lines T_2 T_0)) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (All Y, ((distinct_lines T_0 Y) => (convergent_lines T_0 Y))) (convergent_lines T_1 T_0) ### DisjTree 3 12 13
% 21.32/21.50 15. (All Z, ((convergent_lines T_1 T_0) => ((distinct_lines T_0 Z) \/ (convergent_lines T_1 Z)))) (convergent_lines T_1 T_0) (All Y, ((distinct_lines T_0 Y) => (convergent_lines T_0 Y))) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_2 T_0)) (-. (convergent_lines T_0 T_0)) (-. (convergent_lines T_1 T_2)) ### All 14
% 21.32/21.50 16. (-. (convergent_lines T_1 T_1)) (convergent_lines T_1 T_1) ### Axiom
% 21.32/21.50 17. (-. (convergent_lines T_2 T_1)) (convergent_lines T_2 T_1) ### Axiom
% 21.32/21.50 18. ((convergent_lines T_1 T_2) => ((convergent_lines T_1 T_1) \/ (convergent_lines T_2 T_1))) (-. (convergent_lines T_2 T_1)) (-. (convergent_lines T_1 T_1)) (-. (convergent_lines T_0 T_0)) (-. (convergent_lines T_2 T_0)) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (All Y, ((distinct_lines T_0 Y) => (convergent_lines T_0 Y))) (convergent_lines T_1 T_0) (All Z, ((convergent_lines T_1 T_0) => ((distinct_lines T_0 Z) \/ (convergent_lines T_1 Z)))) ### DisjTree 15 16 17
% 21.32/21.50 19. (All Z, ((convergent_lines T_1 T_2) => ((convergent_lines T_1 Z) \/ (convergent_lines T_2 Z)))) (All Z, ((convergent_lines T_1 T_0) => ((distinct_lines T_0 Z) \/ (convergent_lines T_1 Z)))) (convergent_lines T_1 T_0) (All Y, ((distinct_lines T_0 Y) => (convergent_lines T_0 Y))) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_2 T_0)) (-. (convergent_lines T_0 T_0)) (-. (convergent_lines T_1 T_1)) (-. (convergent_lines T_2 T_1)) ### All 18
% 21.32/21.50 20. (All Y, (All Z, ((convergent_lines T_1 Y) => ((convergent_lines T_1 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_2 T_1)) (-. (convergent_lines T_1 T_1)) (-. (convergent_lines T_0 T_0)) (-. (convergent_lines T_2 T_0)) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (All Y, ((distinct_lines T_0 Y) => (convergent_lines T_0 Y))) (convergent_lines T_1 T_0) (All Z, ((convergent_lines T_1 T_0) => ((distinct_lines T_0 Z) \/ (convergent_lines T_1 Z)))) ### All 19
% 21.32/21.50 21. (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All Z, ((convergent_lines T_1 T_0) => ((distinct_lines T_0 Z) \/ (convergent_lines T_1 Z)))) (convergent_lines T_1 T_0) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_2 T_0)) (-. (convergent_lines T_0 T_0)) (-. (convergent_lines T_1 T_1)) (-. (convergent_lines T_2 T_1)) (All Y, (All Z, ((convergent_lines T_1 Y) => ((convergent_lines T_1 Z) \/ (convergent_lines Y Z))))) ### All 20
% 21.32/21.50 22. (All Y, (All Z, ((convergent_lines T_1 Y) => ((distinct_lines Y Z) \/ (convergent_lines T_1 Z))))) (All Y, (All Z, ((convergent_lines T_1 Y) => ((convergent_lines T_1 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_2 T_1)) (-. (convergent_lines T_1 T_1)) (-. (convergent_lines T_0 T_0)) (-. (convergent_lines T_2 T_0)) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (convergent_lines T_1 T_0) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) ### All 21
% 21.32/21.50 23. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (convergent_lines T_1 T_0) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_2 T_0)) (-. (convergent_lines T_0 T_0)) (-. (convergent_lines T_1 T_1)) (-. (convergent_lines T_2 T_1)) (All Y, (All Z, ((convergent_lines T_1 Y) => ((distinct_lines Y Z) \/ (convergent_lines T_1 Z))))) ### All 22
% 21.32/21.50 24. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((distinct_lines Y Z) \/ (convergent_lines X Z)))))) (-. (convergent_lines T_2 T_1)) (-. (convergent_lines T_1 T_1)) (-. (convergent_lines T_0 T_0)) (-. (convergent_lines T_2 T_0)) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (convergent_lines T_1 T_0) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### All 23
% 21.32/21.50 25. ((convergent_lines T_0 T_1) => ((convergent_lines T_0 T_0) \/ (convergent_lines T_1 T_0))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_2 T_0)) (-. (convergent_lines T_1 T_1)) (-. (convergent_lines T_2 T_1)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((distinct_lines Y Z) \/ (convergent_lines X Z)))))) (-. (convergent_lines T_0 T_0)) (convergent_lines T_0 T_1) ### DisjTree 1 2 24
% 21.32/21.50 26. (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_0)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((distinct_lines Y Z) \/ (convergent_lines X Z)))))) (-. (convergent_lines T_2 T_1)) (-. (convergent_lines T_1 T_1)) (-. (convergent_lines T_2 T_0)) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### All 25
% 21.32/21.50 27. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_2 T_0)) (-. (convergent_lines T_1 T_1)) (-. (convergent_lines T_2 T_1)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((distinct_lines Y Z) \/ (convergent_lines X Z)))))) (-. (convergent_lines T_0 T_0)) (convergent_lines T_0 T_1) ### All 26
% 21.32/21.52 28. (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_1) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((distinct_lines Y Z) \/ (convergent_lines X Z)))))) (-. (convergent_lines T_2 T_1)) (-. (convergent_lines T_1 T_1)) (-. (convergent_lines T_2 T_0)) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### All 27
% 21.32/21.52 29. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (-. (convergent_lines T_2 T_0)) (-. (convergent_lines T_1 T_1)) (-. (convergent_lines T_2 T_1)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((distinct_lines Y Z) \/ (convergent_lines X Z)))))) (convergent_lines T_0 T_1) (All X, (-. (convergent_lines X X))) ### All 28
% 21.32/21.52 30. (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_1) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((distinct_lines Y Z) \/ (convergent_lines X Z)))))) (-. (convergent_lines T_2 T_1)) (-. (convergent_lines T_2 T_0)) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### All 29
% 21.32/21.52 31. (-. (-. (convergent_lines T_0 T_1))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (-. (convergent_lines T_2 T_0)) (-. (convergent_lines T_2 T_1)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((distinct_lines Y Z) \/ (convergent_lines X Z)))))) (All X, (-. (convergent_lines X X))) ### NotNot 30
% 21.32/21.52 32. (-. (parallel_lines T_0 T_1)) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((distinct_lines Y Z) \/ (convergent_lines X Z)))))) (-. (convergent_lines T_2 T_1)) (-. (convergent_lines T_2 T_0)) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### Definition-Pseudo(parallel_lines) 31
% 21.32/21.52 33. (parallel_lines T_2 T_1) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (-. (convergent_lines T_2 T_0)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((distinct_lines Y Z) \/ (convergent_lines X Z)))))) (All X, (-. (convergent_lines X X))) (-. (parallel_lines T_0 T_1)) ### Definition-Pseudo(parallel_lines) 32
% 21.32/21.52 34. (parallel_lines T_2 T_0) (-. (parallel_lines T_0 T_1)) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((distinct_lines Y Z) \/ (convergent_lines X Z)))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (parallel_lines T_2 T_1) ### Definition-Pseudo(parallel_lines) 33
% 21.32/21.52 35. (-. (((parallel_lines T_2 T_0) /\ (parallel_lines T_2 T_1)) => (parallel_lines T_0 T_1))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((distinct_lines Y Z) \/ (convergent_lines X Z)))))) (All X, (-. (convergent_lines X X))) ### ConjTree 34
% 21.32/21.52 36. (-. (All N, (((parallel_lines T_2 T_0) /\ (parallel_lines T_2 N)) => (parallel_lines T_0 N)))) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((distinct_lines Y Z) \/ (convergent_lines X Z)))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 35
% 21.32/21.52 37. (-. (All M, (All N, (((parallel_lines T_2 M) /\ (parallel_lines T_2 N)) => (parallel_lines M N))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((distinct_lines Y Z) \/ (convergent_lines X Z)))))) (All X, (-. (convergent_lines X X))) ### NotAllEx 36
% 21.32/21.52 38. (-. (All L, (All M, (All N, (((parallel_lines L M) /\ (parallel_lines L N)) => (parallel_lines M N)))))) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((distinct_lines Y Z) \/ (convergent_lines X Z)))))) (All X, (All Y, ((distinct_lines X Y) => (convergent_lines X Y)))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 37
% 21.32/21.52 % SZS output end Proof
% 21.32/21.52 (* END-PROOF *)
%------------------------------------------------------------------------------