TSTP Solution File: GEO183+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO183+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 : n011.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 06:30:45 EDT 2022
% Result : Theorem 0.20s 0.44s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO183+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 10:51:08 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.20/0.44 % SZS status Theorem
% 0.20/0.44 (* PROOF-FOUND *)
% 0.20/0.44 (* BEGIN-PROOF *)
% 0.20/0.44 % SZS output start Proof
% 0.20/0.44 1. (apart_point_and_line T_0 T_1) (-. (apart_point_and_line T_0 T_1)) ### Axiom
% 0.20/0.44 2. (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (distinct_lines T_1 (line_connecting T_0 T_2)) ### Axiom
% 0.20/0.44 3. (distinct_points T_0 T_2) (-. (distinct_points T_0 T_2)) ### Axiom
% 0.20/0.44 4. (apart_point_and_line T_0 (line_connecting T_0 T_2)) (-. (apart_point_and_line T_0 (line_connecting T_0 T_2))) ### Axiom
% 0.20/0.44 5. ((distinct_points T_0 T_2) => (-. (apart_point_and_line T_0 (line_connecting T_0 T_2)))) (apart_point_and_line T_0 (line_connecting T_0 T_2)) (distinct_points T_0 T_2) ### Imply 3 4
% 0.20/0.44 6. (All Y, ((distinct_points T_0 Y) => (-. (apart_point_and_line T_0 (line_connecting T_0 Y))))) (distinct_points T_0 T_2) (apart_point_and_line T_0 (line_connecting T_0 T_2)) ### All 5
% 0.20/0.44 7. (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (apart_point_and_line T_0 (line_connecting T_0 T_2)) (distinct_points T_0 T_2) ### All 6
% 0.20/0.44 8. ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 (line_connecting T_0 T_2)) \/ (apart_point_and_line T_0 (line_connecting T_0 T_2)))) (distinct_points T_0 T_2) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (apart_point_and_line T_0 T_1) ### DisjTree 1 2 7
% 0.20/0.44 9. (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_lines T_1 (line_connecting T_0 T_2))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_0 T_2) ### All 8
% 0.20/0.44 10. (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_0 Z))))) (distinct_points T_0 T_2) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (apart_point_and_line T_0 T_1) ### All 9
% 0.20/0.44 11. (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_lines T_1 (line_connecting T_0 T_2))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_0 T_2) ### All 10
% 0.20/0.44 12. (-. (-. (apart_point_and_line T_0 T_1))) (distinct_points T_0 T_2) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotNot 11
% 0.20/0.44 13. (apart_point_and_line T_2 T_1) (-. (apart_point_and_line T_2 T_1)) ### Axiom
% 0.20/0.44 14. (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (distinct_lines T_1 (line_connecting T_0 T_2)) ### Axiom
% 0.20/0.44 15. (-. (apart_point_and_line T_2 (line_connecting T_0 T_2))) (apart_point_and_line T_2 (line_connecting T_0 T_2)) ### Axiom
% 0.20/0.44 16. ((apart_point_and_line T_2 T_1) => ((distinct_lines T_1 (line_connecting T_0 T_2)) \/ (apart_point_and_line T_2 (line_connecting T_0 T_2)))) (-. (apart_point_and_line T_2 (line_connecting T_0 T_2))) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (apart_point_and_line T_2 T_1) ### DisjTree 13 14 15
% 0.20/0.44 17. (All Z, ((apart_point_and_line T_2 T_1) => ((distinct_lines T_1 Z) \/ (apart_point_and_line T_2 Z)))) (apart_point_and_line T_2 T_1) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (-. (apart_point_and_line T_2 (line_connecting T_0 T_2))) ### All 16
% 0.20/0.44 18. (All Y, (All Z, ((apart_point_and_line T_2 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_2 Z))))) (-. (apart_point_and_line T_2 (line_connecting T_0 T_2))) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (apart_point_and_line T_2 T_1) ### All 17
% 0.20/0.44 19. (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_2 T_1) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (-. (apart_point_and_line T_2 (line_connecting T_0 T_2))) ### All 18
% 0.20/0.44 20. (-. (-. (apart_point_and_line T_2 T_1))) (-. (apart_point_and_line T_2 (line_connecting T_0 T_2))) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotNot 19
% 0.20/0.44 21. (-. ((-. (apart_point_and_line T_0 T_1)) /\ (-. (apart_point_and_line T_2 T_1)))) (-. (apart_point_and_line T_2 (line_connecting T_0 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_lines T_1 (line_connecting T_0 T_2))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_0 T_2) ### NotAnd 12 20
% 0.20/0.44 22. (distinct_points T_0 T_2) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (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)) /\ (-. (apart_point_and_line T_2 T_1)))) ### Extension/test/ci2 21
% 0.20/0.44 23. (-. (((distinct_points T_0 T_2) /\ ((convergent_lines T_1 T_3) /\ (-. (distinct_lines T_1 (line_connecting T_0 T_2))))) => ((-. (apart_point_and_line T_0 T_1)) /\ (-. (apart_point_and_line T_2 T_1))))) (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, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### ConjTree 22
% 0.20/0.44 24. (-. (All V, (((distinct_points T_0 T_2) /\ ((convergent_lines T_1 V) /\ (-. (distinct_lines T_1 (line_connecting T_0 T_2))))) => ((-. (apart_point_and_line T_0 T_1)) /\ (-. (apart_point_and_line T_2 T_1)))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotAllEx 23
% 0.20/0.44 25. (-. (All U, (All V, (((distinct_points T_0 T_2) /\ ((convergent_lines U V) /\ (-. (distinct_lines U (line_connecting T_0 T_2))))) => ((-. (apart_point_and_line T_0 U)) /\ (-. (apart_point_and_line T_2 U))))))) (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, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotAllEx 24
% 0.20/0.44 26. (-. (All Y, (All U, (All V, (((distinct_points T_0 Y) /\ ((convergent_lines U V) /\ (-. (distinct_lines U (line_connecting T_0 Y))))) => ((-. (apart_point_and_line T_0 U)) /\ (-. (apart_point_and_line Y U)))))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotAllEx 25
% 0.20/0.44 27. (-. (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ ((convergent_lines U V) /\ (-. (distinct_lines U (line_connecting X Y))))) => ((-. (apart_point_and_line X U)) /\ (-. (apart_point_and_line Y U))))))))) (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, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotAllEx 26
% 0.20/0.44 % SZS output end Proof
% 0.20/0.44 (* END-PROOF *)
%------------------------------------------------------------------------------