TSTP Solution File: GEO209+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO209+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 : n010.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 06:31:07 EDT 2022
% Result : Theorem 5.13s 5.32s
% Output : Proof 5.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO209+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 18:15:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.13/5.32 % SZS status Theorem
% 5.13/5.32 (* PROOF-FOUND *)
% 5.13/5.32 (* BEGIN-PROOF *)
% 5.13/5.32 % SZS output start Proof
% 5.13/5.32 1. (distinct_lines T_0 T_1) (-. (distinct_lines T_0 T_1)) ### Axiom
% 5.13/5.32 2. (-. (apart_point_and_line T_2 T_0)) (apart_point_and_line T_2 T_0) ### Axiom
% 5.13/5.32 3. (-. (apart_point_and_line T_2 T_1)) (apart_point_and_line T_2 T_1) ### Axiom
% 5.13/5.32 4. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom
% 5.13/5.32 5. (-. (convergent_lines T_0 T_3)) (convergent_lines T_0 T_3) ### Axiom
% 5.13/5.32 6. (-. (convergent_lines T_1 T_3)) (convergent_lines T_1 T_3) ### Axiom
% 5.13/5.32 7. ((convergent_lines T_0 T_1) => ((convergent_lines T_0 T_3) \/ (convergent_lines T_1 T_3))) (-. (convergent_lines T_1 T_3)) (-. (convergent_lines T_0 T_3)) (convergent_lines T_0 T_1) ### DisjTree 4 5 6
% 5.13/5.32 8. (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_3)) (-. (convergent_lines T_1 T_3)) ### All 7
% 5.13/5.32 9. (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_1 T_3)) (-. (convergent_lines T_0 T_3)) (convergent_lines T_0 T_1) ### All 8
% 5.13/5.32 10. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_3)) (-. (convergent_lines T_1 T_3)) ### All 9
% 5.13/5.32 11. ((distinct_lines T_0 T_1) => ((apart_point_and_line T_2 T_0) \/ ((apart_point_and_line T_2 T_1) \/ (convergent_lines T_0 T_1)))) (-. (convergent_lines T_1 T_3)) (-. (convergent_lines T_0 T_3)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (apart_point_and_line T_2 T_1)) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 T_1) ### DisjTree 1 2 3 10
% 5.13/5.32 12. (All Z, ((distinct_lines T_0 Z) => ((apart_point_and_line T_2 T_0) \/ ((apart_point_and_line T_2 Z) \/ (convergent_lines T_0 Z))))) (distinct_lines T_0 T_1) (-. (apart_point_and_line T_2 T_0)) (-. (apart_point_and_line T_2 T_1)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_0 T_3)) (-. (convergent_lines T_1 T_3)) ### All 11
% 5.13/5.32 13. (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line T_2 Y) \/ ((apart_point_and_line T_2 Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_1 T_3)) (-. (convergent_lines T_0 T_3)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (apart_point_and_line T_2 T_1)) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 T_1) ### All 12
% 5.13/5.32 14. (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) (distinct_lines T_0 T_1) (-. (apart_point_and_line T_2 T_0)) (-. (apart_point_and_line T_2 T_1)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_0 T_3)) (-. (convergent_lines T_1 T_3)) ### All 13
% 5.13/5.32 15. (-. (((apart_point_and_line T_2 T_3) /\ ((-. (apart_point_and_line T_2 T_0)) /\ ((-. (apart_point_and_line T_2 T_1)) /\ ((-. (convergent_lines T_0 T_3)) /\ (-. (convergent_lines T_1 T_3)))))) => (-. (distinct_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, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) ### ConjTree 14
% 5.13/5.32 16. (-. (All N, (((apart_point_and_line T_2 T_3) /\ ((-. (apart_point_and_line T_2 T_0)) /\ ((-. (apart_point_and_line T_2 N)) /\ ((-. (convergent_lines T_0 T_3)) /\ (-. (convergent_lines N T_3)))))) => (-. (distinct_lines T_0 N))))) (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 15
% 5.13/5.32 17. (-. (All M, (All N, (((apart_point_and_line T_2 T_3) /\ ((-. (apart_point_and_line T_2 M)) /\ ((-. (apart_point_and_line T_2 N)) /\ ((-. (convergent_lines M T_3)) /\ (-. (convergent_lines N T_3)))))) => (-. (distinct_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, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) ### NotAllEx 16
% 5.13/5.32 18. (-. (All L, (All M, (All N, (((apart_point_and_line T_2 L) /\ ((-. (apart_point_and_line T_2 M)) /\ ((-. (apart_point_and_line T_2 N)) /\ ((-. (convergent_lines M L)) /\ (-. (convergent_lines N L)))))) => (-. (distinct_lines M N))))))) (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 17
% 5.13/5.32 19. (-. (All A, (All L, (All M, (All N, (((apart_point_and_line A L) /\ ((-. (apart_point_and_line A M)) /\ ((-. (apart_point_and_line A N)) /\ ((-. (convergent_lines M L)) /\ (-. (convergent_lines N L)))))) => (-. (distinct_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, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) ### NotAllEx 18
% 5.13/5.32 % SZS output end Proof
% 5.13/5.32 (* END-PROOF *)
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