TSTP Solution File: GEO178+2 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : GEO178+2 : 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 : n027.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 0.20s 0.42s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO178+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n027.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 10:43:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 (* PROOF-FOUND *)
% 0.20/0.42 (* BEGIN-PROOF *)
% 0.20/0.42 % SZS output start Proof
% 0.20/0.42 1. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom
% 0.20/0.42 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
% 0.20/0.42 3. (-. (distinct_points T_2 T_0)) (distinct_points T_2 T_0) ### Axiom
% 0.20/0.42 4. ((distinct_points T_2 T_0) /\ (distinct_points T_2 T_1)) (-. (distinct_points T_2 T_0)) ### And 3
% 0.20/0.42 5. ((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)))) (-. (distinct_points T_2 T_0)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### DisjTree 1 2 4
% 0.20/0.42 6. (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))))) (distinct_points T_0 T_1) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_0)) ### All 5
% 0.20/0.42 7. (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)))))) (-. (distinct_points T_2 T_0)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### All 6
% 0.20/0.42 8. (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))))))) (distinct_points T_0 T_1) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_0)) ### All 7
% 0.20/0.42 9. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom
% 0.20/0.42 10. (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
% 0.20/0.42 11. (-. (distinct_points T_2 T_1)) (distinct_points T_2 T_1) ### Axiom
% 0.20/0.42 12. ((distinct_points T_2 T_0) /\ (distinct_points T_2 T_1)) (-. (distinct_points T_2 T_1)) ### And 11
% 0.20/0.42 13. ((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)))) (-. (distinct_points T_2 T_1)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### DisjTree 9 10 12
% 0.20/0.42 14. (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))))) (distinct_points T_0 T_1) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_1)) ### All 13
% 0.20/0.42 15. (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)))))) (-. (distinct_points T_2 T_1)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### All 14
% 0.20/0.42 16. (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))))))) (distinct_points T_0 T_1) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_1)) ### All 15
% 0.20/0.42 17. (-. ((distinct_points T_2 T_0) /\ (distinct_points T_2 T_1))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) (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))))))) ### NotAnd 8 16
% 0.20/0.42 18. (-. (((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, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### ConjTree 17
% 0.20/0.42 19. (-. (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, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### NotAllEx 18
% 0.20/0.42 20. (-. (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, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### NotAllEx 19
% 0.20/0.42 21. (-. (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, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### NotAllEx 20
% 0.20/0.42 % SZS output end Proof
% 0.20/0.42 (* END-PROOF *)
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