TSTP Solution File: GEO208+2 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO208+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 : n007.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 06:31:07 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 : GEO208+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 05:01:13 EDT 2022
% 0.13/0.33 % 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_lines T_0 T_1) (-. (distinct_lines T_0 T_1)) ### Axiom
% 0.20/0.42 2. (-. (apart_point_and_line T_2 T_0)) (apart_point_and_line T_2 T_0) ### Axiom
% 0.20/0.42 3. (-. (apart_point_and_line T_2 T_1)) (apart_point_and_line T_2 T_1) ### Axiom
% 0.20/0.42 4. (-. (convergent_lines T_0 T_1)) (convergent_lines T_0 T_1) ### Axiom
% 0.20/0.42 5. ((distinct_lines T_0 T_1) => ((apart_point_and_line T_2 T_0) \/ ((apart_point_and_line T_2 T_1) \/ (convergent_lines T_0 T_1)))) (-. (convergent_lines T_0 T_1)) (-. (apart_point_and_line T_2 T_1)) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 T_1) ### DisjTree 1 2 3 4
% 0.20/0.42 6. (All Z, ((distinct_lines T_0 Z) => ((apart_point_and_line T_2 T_0) \/ ((apart_point_and_line T_2 Z) \/ (convergent_lines T_0 Z))))) (distinct_lines T_0 T_1) (-. (apart_point_and_line T_2 T_0)) (-. (apart_point_and_line T_2 T_1)) (-. (convergent_lines T_0 T_1)) ### All 5
% 0.20/0.42 7. (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line T_2 Y) \/ ((apart_point_and_line T_2 Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_0 T_1)) (-. (apart_point_and_line T_2 T_1)) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 T_1) ### All 6
% 0.20/0.42 8. (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) (distinct_lines T_0 T_1) (-. (apart_point_and_line T_2 T_0)) (-. (apart_point_and_line T_2 T_1)) (-. (convergent_lines T_0 T_1)) ### All 7
% 0.20/0.42 9. (-. (((-. (apart_point_and_line T_2 T_0)) /\ ((-. (apart_point_and_line T_2 T_1)) /\ (-. (convergent_lines T_0 T_1)))) => (-. (distinct_lines T_0 T_1)))) (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) ### ConjTree 8
% 0.20/0.42 10. (-. (All Z, (((-. (apart_point_and_line T_2 T_0)) /\ ((-. (apart_point_and_line T_2 Z)) /\ (-. (convergent_lines T_0 Z)))) => (-. (distinct_lines T_0 Z))))) (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) ### NotAllEx 9
% 0.20/0.42 11. (-. (All Y, (All Z, (((-. (apart_point_and_line T_2 Y)) /\ ((-. (apart_point_and_line T_2 Z)) /\ (-. (convergent_lines Y Z)))) => (-. (distinct_lines Y Z)))))) (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) ### NotAllEx 10
% 0.20/0.42 12. (-. (All X, (All Y, (All Z, (((-. (apart_point_and_line X Y)) /\ ((-. (apart_point_and_line X Z)) /\ (-. (convergent_lines Y Z)))) => (-. (distinct_lines Y Z))))))) (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) ### NotAllEx 11
% 0.20/0.42 % SZS output end Proof
% 0.20/0.42 (* END-PROOF *)
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