TSTP Solution File: GEO183+3 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO183+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 : n025.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 0.43s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO183+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.34 % Computer : n025.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 12:49:58 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.43 % SZS status Theorem
% 0.20/0.43 (* PROOF-FOUND *)
% 0.20/0.43 (* BEGIN-PROOF *)
% 0.20/0.43 % SZS output start Proof
% 0.20/0.43 1. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom
% 0.20/0.43 2. (apart_point_and_line T_0 T_2) (-. (apart_point_and_line T_0 T_2)) ### Axiom
% 0.20/0.43 3. (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (distinct_lines T_2 (line_connecting T_0 T_1)) ### Axiom
% 0.20/0.43 4. (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) (apart_point_and_line T_0 (line_connecting T_0 T_1)) ### Axiom
% 0.20/0.43 5. ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 (line_connecting T_0 T_1)) \/ (apart_point_and_line T_0 (line_connecting T_0 T_1)))) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_0 T_2) ### DisjTree 2 3 4
% 0.20/0.43 6. (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_0 Z)))) (apart_point_and_line T_0 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) ### All 5
% 0.20/0.43 7. ((distinct_points T_0 T_1) => (-. (apart_point_and_line T_0 (line_connecting T_0 T_1)))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_0 T_2) (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_0 Z)))) (distinct_points T_0 T_1) ### Imply 1 6
% 0.20/0.43 8. (All Y, ((distinct_points T_0 Y) => (-. (apart_point_and_line T_0 (line_connecting T_0 Y))))) (distinct_points T_0 T_1) (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_0 Z)))) (apart_point_and_line T_0 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### All 7
% 0.20/0.43 9. (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_0 T_2) (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_0 Z)))) (distinct_points T_0 T_1) ### All 8
% 0.20/0.43 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_1) (apart_point_and_line T_0 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### All 9
% 0.20/0.43 11. (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)))))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_0 T_2) (distinct_points T_0 T_1) ### All 10
% 0.20/0.43 12. (-. (incident_point_and_line T_0 T_2)) (distinct_points T_0 T_1) (-. (distinct_lines T_2 (line_connecting T_0 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)))))) ### Extension/test/not_a4 11
% 0.20/0.43 13. (apart_point_and_line T_1 T_2) (-. (apart_point_and_line T_1 T_2)) ### Axiom
% 0.20/0.43 14. (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (distinct_lines T_2 (line_connecting T_0 T_1)) ### Axiom
% 0.20/0.43 15. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom
% 0.20/0.43 16. (apart_point_and_line T_1 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### Extension/test/ci2ctrp 15
% 0.20/0.43 17. ((apart_point_and_line T_1 T_2) => ((distinct_lines T_2 (line_connecting T_0 T_1)) \/ (apart_point_and_line T_1 (line_connecting T_0 T_1)))) (distinct_points T_0 T_1) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_1 T_2) ### DisjTree 13 14 16
% 0.20/0.43 18. (All Z, ((apart_point_and_line T_1 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_1 Z)))) (apart_point_and_line T_1 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (distinct_points T_0 T_1) ### All 17
% 0.20/0.43 19. (All Y, (All Z, ((apart_point_and_line T_1 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_1 Z))))) (distinct_points T_0 T_1) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_1 T_2) ### All 18
% 0.20/0.43 20. (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_1 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (distinct_points T_0 T_1) ### All 19
% 0.20/0.43 21. (-. (incident_point_and_line T_1 T_2)) (distinct_points T_0 T_1) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### Extension/test/not_a4 20
% 0.20/0.43 22. (-. ((incident_point_and_line T_0 T_2) /\ (incident_point_and_line T_1 T_2))) (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)))))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (distinct_points T_0 T_1) ### NotAnd 12 21
% 0.20/0.43 23. (equal_lines T_2 (line_connecting T_0 T_1)) (distinct_points T_0 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)))))) (-. ((incident_point_and_line T_0 T_2) /\ (incident_point_and_line T_1 T_2))) ### Extension/test/ax2 22
% 0.20/0.43 24. (-. (((distinct_points T_0 T_1) /\ ((convergent_lines T_2 T_3) /\ (equal_lines T_2 (line_connecting T_0 T_1)))) => ((incident_point_and_line T_0 T_2) /\ (incident_point_and_line T_1 T_2)))) (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 23
% 0.20/0.43 25. (-. (All V, (((distinct_points T_0 T_1) /\ ((convergent_lines T_2 V) /\ (equal_lines T_2 (line_connecting T_0 T_1)))) => ((incident_point_and_line T_0 T_2) /\ (incident_point_and_line T_1 T_2))))) (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 24
% 0.20/0.43 26. (-. (All U, (All V, (((distinct_points T_0 T_1) /\ ((convergent_lines U V) /\ (equal_lines U (line_connecting T_0 T_1)))) => ((incident_point_and_line T_0 U) /\ (incident_point_and_line T_1 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 25
% 0.20/0.43 27. (-. (All Y, (All U, (All V, (((distinct_points T_0 Y) /\ ((convergent_lines U V) /\ (equal_lines U (line_connecting T_0 Y)))) => ((incident_point_and_line T_0 U) /\ (incident_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 26
% 0.20/0.43 28. (-. (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ ((convergent_lines U V) /\ (equal_lines U (line_connecting X Y)))) => ((incident_point_and_line X U) /\ (incident_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 27
% 0.20/0.43 % SZS output end Proof
% 0.20/0.43 (* END-PROOF *)
%------------------------------------------------------------------------------