TSTP Solution File: GEO176+2 by SuperZenon---0.0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : GEO176+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 : n028.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 06:30:39 EDT 2022

% Result   : Theorem 0.19s 0.41s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO176+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 01:49:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.41  % SZS status Theorem
% 0.19/0.41  (* PROOF-FOUND *)
% 0.19/0.41  (* BEGIN-PROOF *)
% 0.19/0.41  % SZS output start Proof
% 0.19/0.41  1. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1))   ### Axiom
% 0.19/0.41  2. (apart_point_and_line T_2 T_0) (-. (apart_point_and_line T_2 T_0))   ### Axiom
% 0.19/0.41  3. (-. ((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 T_1))) (apart_point_and_line T_2 T_0)   ### NotOr 2
% 0.19/0.41  4. (-. (distinct_points T_2 (intersection_point T_0 T_1))) (distinct_points T_2 (intersection_point T_0 T_1))   ### Axiom
% 0.19/0.41  5. ((convergent_lines T_0 T_1) => (((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 T_1)) => (distinct_points T_2 (intersection_point T_0 T_1)))) (-. (distinct_points T_2 (intersection_point T_0 T_1))) (apart_point_and_line T_2 T_0) (convergent_lines T_0 T_1)   ### DisjTree 1 3 4
% 0.19/0.41  6. (All Z, ((convergent_lines T_0 T_1) => (((apart_point_and_line Z T_0) \/ (apart_point_and_line Z T_1)) => (distinct_points Z (intersection_point T_0 T_1))))) (convergent_lines T_0 T_1) (apart_point_and_line T_2 T_0) (-. (distinct_points T_2 (intersection_point T_0 T_1)))   ### All 5
% 0.19/0.41  7. (All Y, (All Z, ((convergent_lines T_0 Y) => (((apart_point_and_line Z T_0) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point T_0 Y)))))) (-. (distinct_points T_2 (intersection_point T_0 T_1))) (apart_point_and_line T_2 T_0) (convergent_lines T_0 T_1)   ### All 6
% 0.19/0.41  8. (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y))))))) (convergent_lines T_0 T_1) (apart_point_and_line T_2 T_0) (-. (distinct_points T_2 (intersection_point T_0 T_1)))   ### All 7
% 0.19/0.41  9. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1))   ### Axiom
% 0.19/0.41  10. (apart_point_and_line T_2 T_1) (-. (apart_point_and_line T_2 T_1))   ### Axiom
% 0.19/0.41  11. (-. ((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 T_1))) (apart_point_and_line T_2 T_1)   ### NotOr 10
% 0.19/0.41  12. (-. (distinct_points T_2 (intersection_point T_0 T_1))) (distinct_points T_2 (intersection_point T_0 T_1))   ### Axiom
% 0.19/0.41  13. ((convergent_lines T_0 T_1) => (((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 T_1)) => (distinct_points T_2 (intersection_point T_0 T_1)))) (-. (distinct_points T_2 (intersection_point T_0 T_1))) (apart_point_and_line T_2 T_1) (convergent_lines T_0 T_1)   ### DisjTree 9 11 12
% 0.19/0.41  14. (All Z, ((convergent_lines T_0 T_1) => (((apart_point_and_line Z T_0) \/ (apart_point_and_line Z T_1)) => (distinct_points Z (intersection_point T_0 T_1))))) (convergent_lines T_0 T_1) (apart_point_and_line T_2 T_1) (-. (distinct_points T_2 (intersection_point T_0 T_1)))   ### All 13
% 0.19/0.41  15. (All Y, (All Z, ((convergent_lines T_0 Y) => (((apart_point_and_line Z T_0) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point T_0 Y)))))) (-. (distinct_points T_2 (intersection_point T_0 T_1))) (apart_point_and_line T_2 T_1) (convergent_lines T_0 T_1)   ### All 14
% 0.19/0.41  16. (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y))))))) (convergent_lines T_0 T_1) (apart_point_and_line T_2 T_1) (-. (distinct_points T_2 (intersection_point T_0 T_1)))   ### All 15
% 0.19/0.41  17. ((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 T_1)) (-. (distinct_points T_2 (intersection_point T_0 T_1))) (convergent_lines T_0 T_1) (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y)))))))   ### Or 8 16
% 0.19/0.41  18. (-. (((distinct_points T_2 T_3) /\ ((convergent_lines T_0 T_1) /\ ((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 T_1)))) => (distinct_points T_2 (intersection_point T_0 T_1)))) (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y)))))))   ### ConjTree 17
% 0.19/0.41  19. (-. (All V, (((distinct_points T_2 T_3) /\ ((convergent_lines T_0 V) /\ ((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 V)))) => (distinct_points T_2 (intersection_point T_0 V))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y)))))))   ### NotAllEx 18
% 0.19/0.41  20. (-. (All U, (All V, (((distinct_points T_2 T_3) /\ ((convergent_lines U V) /\ ((apart_point_and_line T_2 U) \/ (apart_point_and_line T_2 V)))) => (distinct_points T_2 (intersection_point U V)))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y)))))))   ### NotAllEx 19
% 0.19/0.41  21. (-. (All Y, (All U, (All V, (((distinct_points T_2 Y) /\ ((convergent_lines U V) /\ ((apart_point_and_line T_2 U) \/ (apart_point_and_line T_2 V)))) => (distinct_points T_2 (intersection_point U V))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y)))))))   ### NotAllEx 20
% 0.19/0.41  22. (-. (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ ((convergent_lines U V) /\ ((apart_point_and_line X U) \/ (apart_point_and_line X V)))) => (distinct_points X (intersection_point U V)))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y)))))))   ### NotAllEx 21
% 0.19/0.41  % SZS output end Proof
% 0.19/0.41  (* END-PROOF *)
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