TSTP Solution File: GEO170+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO170+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 : n016.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 06:30:33 EDT 2022
% Result : Theorem 0.21s 0.43s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : GEO170+1 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 08:35:37 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.43 % SZS status Theorem
% 0.21/0.43 (* PROOF-FOUND *)
% 0.21/0.43 (* BEGIN-PROOF *)
% 0.21/0.43 % SZS output start Proof
% 0.21/0.43 1. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom
% 0.21/0.43 2. (distinct_lines T_2 (line_connecting T_0 T_1)) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### Axiom
% 0.21/0.43 3. (-. (apart_point_and_line T_0 T_2)) (apart_point_and_line T_0 T_2) ### Axiom
% 0.21/0.43 4. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom
% 0.21/0.43 5. (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
% 0.21/0.43 6. ((distinct_points 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_points T_0 T_1) ### Imply 4 5
% 0.21/0.43 7. (All Y, ((distinct_points T_0 Y) => (-. (apart_point_and_line T_0 (line_connecting T_0 Y))))) (distinct_points T_0 T_1) (apart_point_and_line T_0 (line_connecting T_0 T_1)) ### All 6
% 0.21/0.43 8. (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_1)) (distinct_points T_0 T_1) ### All 7
% 0.21/0.43 9. (-. (apart_point_and_line T_1 T_2)) (apart_point_and_line T_1 T_2) ### Axiom
% 0.21/0.43 10. (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) (apart_point_and_line T_1 (line_connecting T_0 T_1)) ### Axiom
% 0.21/0.43 11. (((distinct_points T_0 T_1) /\ (distinct_lines T_2 (line_connecting T_0 T_1))) => ((apart_point_and_line T_0 T_2) \/ ((apart_point_and_line T_0 (line_connecting T_0 T_1)) \/ ((apart_point_and_line T_1 T_2) \/ (apart_point_and_line T_1 (line_connecting T_0 T_1)))))) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) (-. (apart_point_and_line T_1 T_2)) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (apart_point_and_line T_0 T_2)) (distinct_lines T_2 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### DisjTree 1 2 3 8 9 10
% 0.21/0.43 12. (All V, (((distinct_points T_0 T_1) /\ (distinct_lines T_2 V)) => ((apart_point_and_line T_0 T_2) \/ ((apart_point_and_line T_0 V) \/ ((apart_point_and_line T_1 T_2) \/ (apart_point_and_line T_1 V)))))) (distinct_points T_0 T_1) (distinct_lines T_2 (line_connecting T_0 T_1)) (-. (apart_point_and_line T_0 T_2)) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (apart_point_and_line T_1 T_2)) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) ### All 11
% 0.21/0.43 13. (All U, (All V, (((distinct_points T_0 T_1) /\ (distinct_lines U V)) => ((apart_point_and_line T_0 U) \/ ((apart_point_and_line T_0 V) \/ ((apart_point_and_line T_1 U) \/ (apart_point_and_line T_1 V))))))) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) (-. (apart_point_and_line T_1 T_2)) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (apart_point_and_line T_0 T_2)) (distinct_lines T_2 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### All 12
% 0.21/0.43 14. (All Y, (All U, (All V, (((distinct_points T_0 Y) /\ (distinct_lines U V)) => ((apart_point_and_line T_0 U) \/ ((apart_point_and_line T_0 V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V)))))))) (distinct_points T_0 T_1) (distinct_lines T_2 (line_connecting T_0 T_1)) (-. (apart_point_and_line T_0 T_2)) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (apart_point_and_line T_1 T_2)) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) ### All 13
% 0.21/0.43 15. (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) (-. (apart_point_and_line T_1 T_2)) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (apart_point_and_line T_0 T_2)) (distinct_lines T_2 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### All 14
% 0.21/0.43 16. (distinct_points T_0 T_1) (distinct_lines T_2 (line_connecting T_0 T_1)) (-. (apart_point_and_line T_0 T_2)) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (apart_point_and_line T_1 T_2)) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) ### Extension/test/ci2 15
% 0.21/0.43 17. (-. (((distinct_points T_0 T_1) /\ ((-. (apart_point_and_line T_0 T_2)) /\ (-. (apart_point_and_line T_1 T_2)))) => (-. (distinct_lines T_2 (line_connecting T_0 T_1))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### ConjTree 16
% 0.21/0.43 18. (-. (All Z, (((distinct_points T_0 T_1) /\ ((-. (apart_point_and_line T_0 Z)) /\ (-. (apart_point_and_line T_1 Z)))) => (-. (distinct_lines Z (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 U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) ### NotAllEx 17
% 0.21/0.43 19. (-. (All Y, (All Z, (((distinct_points T_0 Y) /\ ((-. (apart_point_and_line T_0 Z)) /\ (-. (apart_point_and_line Y Z)))) => (-. (distinct_lines Z (line_connecting T_0 Y))))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotAllEx 18
% 0.21/0.43 20. (-. (All X, (All Y, (All Z, (((distinct_points X Y) /\ ((-. (apart_point_and_line X Z)) /\ (-. (apart_point_and_line Y Z)))) => (-. (distinct_lines Z (line_connecting X Y)))))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) ### NotAllEx 19
% 0.21/0.43 % SZS output end Proof
% 0.21/0.43 (* END-PROOF *)
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