TSTP Solution File: GEO209+3 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO209+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 06:31:08 EDT 2022
% Result : Theorem 0.18s 0.40s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO209+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.32 % Computer : n026.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jun 18 15:48:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.40 % SZS status Theorem
% 0.18/0.40 (* PROOF-FOUND *)
% 0.18/0.40 (* BEGIN-PROOF *)
% 0.18/0.40 % SZS output start Proof
% 0.18/0.40 1. (distinct_lines T_0 T_1) (-. (distinct_lines T_0 T_1)) ### Axiom
% 0.18/0.40 2. (-. (convergent_lines T_0 T_1)) (distinct_lines T_0 T_1) ### Extension/test/p1ctrp 1
% 0.18/0.40 3. (-. (convergent_lines T_0 T_2)) (convergent_lines T_0 T_2) ### Axiom
% 0.18/0.40 4. (-. (convergent_lines T_1 T_2)) (convergent_lines T_1 T_2) ### Axiom
% 0.18/0.40 5. ((convergent_lines T_0 T_1) => ((convergent_lines T_0 T_2) \/ (convergent_lines T_1 T_2))) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_0 T_2)) (distinct_lines T_0 T_1) ### DisjTree 2 3 4
% 0.18/0.40 6. (All Z, ((convergent_lines T_0 T_1) => ((convergent_lines T_0 Z) \/ (convergent_lines T_1 Z)))) (distinct_lines T_0 T_1) (-. (convergent_lines T_0 T_2)) (-. (convergent_lines T_1 T_2)) ### All 5
% 0.18/0.40 7. (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_0 T_2)) (distinct_lines T_0 T_1) ### All 6
% 0.18/0.40 8. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (distinct_lines T_0 T_1) (-. (convergent_lines T_0 T_2)) (-. (convergent_lines T_1 T_2)) ### All 7
% 0.18/0.40 9. (-. (equal_lines T_0 T_1)) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_0 T_2)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### Extension/test/not_ax2 8
% 0.18/0.40 10. (parallel_lines T_1 T_2) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_0 T_2)) (-. (equal_lines T_0 T_1)) ### Extension/test/a3 9
% 0.18/0.40 11. (parallel_lines T_0 T_2) (-. (equal_lines T_0 T_1)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (parallel_lines T_1 T_2) ### Extension/test/a3 10
% 0.18/0.40 12. (-. (((apart_point_and_line T_3 T_2) /\ ((incident_point_and_line T_3 T_0) /\ ((incident_point_and_line T_3 T_1) /\ ((parallel_lines T_0 T_2) /\ (parallel_lines T_1 T_2))))) => (equal_lines T_0 T_1))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### ConjTree 11
% 0.18/0.40 13. (-. (All N, (((apart_point_and_line T_3 T_2) /\ ((incident_point_and_line T_3 T_0) /\ ((incident_point_and_line T_3 N) /\ ((parallel_lines T_0 T_2) /\ (parallel_lines N T_2))))) => (equal_lines T_0 N)))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 12
% 0.18/0.40 14. (-. (All M, (All N, (((apart_point_and_line T_3 T_2) /\ ((incident_point_and_line T_3 M) /\ ((incident_point_and_line T_3 N) /\ ((parallel_lines M T_2) /\ (parallel_lines N T_2))))) => (equal_lines M N))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 13
% 0.18/0.40 15. (-. (All L, (All M, (All N, (((apart_point_and_line T_3 L) /\ ((incident_point_and_line T_3 M) /\ ((incident_point_and_line T_3 N) /\ ((parallel_lines M L) /\ (parallel_lines N L))))) => (equal_lines M N)))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 14
% 0.18/0.40 16. (-. (All A, (All L, (All M, (All N, (((apart_point_and_line A L) /\ ((incident_point_and_line A M) /\ ((incident_point_and_line A N) /\ ((parallel_lines M L) /\ (parallel_lines N L))))) => (equal_lines M N))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 15
% 0.18/0.40 % SZS output end Proof
% 0.18/0.40 (* END-PROOF *)
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