TSTP Solution File: GEO225+3 by SuperZenon---0.0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : GEO225+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 : n026.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 06:31:21 EDT 2022

% Result   : Theorem 0.20s 0.42s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO225+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34  % Computer : n026.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 : Sat Jun 18 10:51:09 EDT 2022
% 0.13/0.34  % 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_0 (line_connecting T_0 T_1)) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1)))   ### Axiom
% 0.20/0.42  3. ((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 1 2
% 0.20/0.42  4. (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 3
% 0.20/0.42  5. (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 4
% 0.20/0.42  6. (-. (incident_point_and_line T_0 (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))))))   ### Extension/test/not_a4 5
% 0.20/0.42  7. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1))   ### Axiom
% 0.20/0.42  8. (apart_point_and_line T_1 (line_connecting T_0 T_1)) (distinct_points T_0 T_1)   ### Extension/test/ci2ctrp 7
% 0.20/0.42  9. (-. (incident_point_and_line T_1 (line_connecting T_0 T_1))) (distinct_points T_0 T_1)   ### Extension/test/not_a4 8
% 0.20/0.42  10. (-. ((incident_point_and_line T_0 (line_connecting T_0 T_1)) /\ (incident_point_and_line T_1 (line_connecting T_0 T_1)))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_0 T_1)   ### NotAnd 6 9
% 0.20/0.42  11. (-. ((line (line_connecting T_0 T_1)) => ((incident_point_and_line T_0 (line_connecting T_0 T_1)) /\ (incident_point_and_line T_1 (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))))))   ### NotImply 10
% 0.20/0.42  12. (-. (Ex X, ((line X) => ((incident_point_and_line T_0 X) /\ (incident_point_and_line T_1 X))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_0 T_1)   ### NotExists 11
% 0.20/0.42  13. (-. (((point T_0) /\ ((point T_1) /\ (distinct_points T_0 T_1))) => (Ex X, ((line X) => ((incident_point_and_line T_0 X) /\ (incident_point_and_line T_1 X)))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y))))))   ### ConjTree 12
% 0.20/0.42  14. (-. (All B, (((point T_0) /\ ((point B) /\ (distinct_points T_0 B))) => (Ex X, ((line X) => ((incident_point_and_line T_0 X) /\ (incident_point_and_line B X))))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y))))))   ### NotAllEx 13
% 0.20/0.42  15. (-. (All A, (All B, (((point A) /\ ((point B) /\ (distinct_points A B))) => (Ex X, ((line X) => ((incident_point_and_line A X) /\ (incident_point_and_line B X)))))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y))))))   ### NotAllEx 14
% 0.20/0.42  % SZS output end Proof
% 0.20/0.42  (* END-PROOF *)
%------------------------------------------------------------------------------