TSTP Solution File: GEO178+3 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO178+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 : 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 06:30:41 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO178+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n016.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 : Fri Jun 17 19:09:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 (* PROOF-FOUND *)
% 0.19/0.43 (* BEGIN-PROOF *)
% 0.19/0.43 % SZS output start Proof
% 0.19/0.43 1. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom
% 0.19/0.43 2. (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (apart_point_and_line T_2 (line_connecting T_0 T_1))) ### Axiom
% 0.19/0.43 3. (-. (distinct_points T_2 T_0)) (distinct_points T_2 T_0) ### Axiom
% 0.19/0.43 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
% 0.19/0.43 5. ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_points T_2 T_0) \/ (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_2 T_0)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) ### DisjTree 2 3 4
% 0.19/0.43 6. (All Z, ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_points T_2 Z) \/ (apart_point_and_line Z (line_connecting T_0 T_1))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_0)) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) ### All 5
% 0.19/0.43 7. (All Y, (All Z, ((apart_point_and_line T_2 Y) => ((distinct_points T_2 Z) \/ (apart_point_and_line Z Y))))) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) (-. (distinct_points T_2 T_0)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) ### All 6
% 0.19/0.43 8. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_0)) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) ### All 7
% 0.19/0.43 9. ((distinct_points T_0 T_1) => (-. (apart_point_and_line T_0 (line_connecting T_0 T_1)))) (-. (distinct_points T_2 T_0)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (distinct_points T_0 T_1) ### Imply 1 8
% 0.19/0.43 10. (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 X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_0)) ### All 9
% 0.19/0.43 11. (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_points T_2 T_0)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (distinct_points T_0 T_1) ### All 10
% 0.19/0.43 12. (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (apart_point_and_line T_2 (line_connecting T_0 T_1))) ### Axiom
% 0.19/0.43 13. (-. (distinct_points T_2 T_1)) (distinct_points T_2 T_1) ### Axiom
% 0.19/0.43 14. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom
% 0.19/0.43 15. (apart_point_and_line T_1 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### Extension/test/ci2ctrp 14
% 0.19/0.43 16. ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_points T_2 T_1) \/ (apart_point_and_line T_1 (line_connecting T_0 T_1)))) (distinct_points T_0 T_1) (-. (distinct_points T_2 T_1)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) ### DisjTree 12 13 15
% 0.19/0.43 17. (All Z, ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_points T_2 Z) \/ (apart_point_and_line Z (line_connecting T_0 T_1))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_1)) (distinct_points T_0 T_1) ### All 16
% 0.19/0.43 18. (All Y, (All Z, ((apart_point_and_line T_2 Y) => ((distinct_points T_2 Z) \/ (apart_point_and_line Z Y))))) (distinct_points T_0 T_1) (-. (distinct_points T_2 T_1)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) ### All 17
% 0.19/0.43 19. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_1)) (distinct_points T_0 T_1) ### All 18
% 0.19/0.43 20. (-. ((distinct_points T_2 T_0) /\ (distinct_points T_2 T_1))) (distinct_points T_0 T_1) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (apart_point_and_line 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)))))) ### NotAnd 11 19
% 0.19/0.43 21. (-. (((distinct_points T_0 T_1) /\ (apart_point_and_line T_2 (line_connecting T_0 T_1))) => ((distinct_points T_2 T_0) /\ (distinct_points 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_points X Z) \/ (apart_point_and_line Z Y)))))) ### ConjTree 20
% 0.19/0.43 22. (-. (All Z, (((distinct_points T_0 T_1) /\ (apart_point_and_line Z (line_connecting T_0 T_1))) => ((distinct_points Z T_0) /\ (distinct_points Z T_1))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotAllEx 21
% 0.19/0.43 23. (-. (All Y, (All Z, (((distinct_points T_0 Y) /\ (apart_point_and_line Z (line_connecting T_0 Y))) => ((distinct_points Z T_0) /\ (distinct_points Z Y)))))) (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_points X Z) \/ (apart_point_and_line Z Y)))))) ### NotAllEx 22
% 0.19/0.43 24. (-. (All X, (All Y, (All Z, (((distinct_points X Y) /\ (apart_point_and_line Z (line_connecting X Y))) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotAllEx 23
% 0.19/0.43 % SZS output end Proof
% 0.19/0.43 (* END-PROOF *)
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