TSTP Solution File: GEO210+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO210+1 : 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 : n010.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 0.20s 0.42s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO210+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 05:46:08 EDT 2022
% 0.14/0.35 % 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 (orthogonal_through_point T_1 T_2)) (-. (distinct_lines T_0 (orthogonal_through_point T_1 T_2))) ### 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 (orthogonal_through_point T_1 T_2)) ### Extension/test/ooc2
% 0.20/0.42 4. (-. (unorthogonal_lines T_0 T_1)) (unorthogonal_lines T_0 T_1) ### Axiom
% 0.20/0.42 5. (unorthogonal_lines (orthogonal_through_point T_1 T_2) T_1) ### Extension/test/ooc1
% 0.20/0.42 6. ((distinct_lines T_0 (orthogonal_through_point T_1 T_2)) => ((apart_point_and_line T_2 T_0) \/ ((apart_point_and_line T_2 (orthogonal_through_point T_1 T_2)) \/ ((unorthogonal_lines T_0 T_1) \/ (unorthogonal_lines (orthogonal_through_point T_1 T_2) T_1))))) (-. (unorthogonal_lines T_0 T_1)) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 (orthogonal_through_point T_1 T_2)) ### DisjTree 1 2 3 4 5
% 0.20/0.42 7. (All N, ((distinct_lines T_0 (orthogonal_through_point T_1 T_2)) => ((apart_point_and_line T_2 T_0) \/ ((apart_point_and_line T_2 (orthogonal_through_point T_1 T_2)) \/ ((unorthogonal_lines T_0 N) \/ (unorthogonal_lines (orthogonal_through_point T_1 T_2) N)))))) (distinct_lines T_0 (orthogonal_through_point T_1 T_2)) (-. (apart_point_and_line T_2 T_0)) (-. (unorthogonal_lines T_0 T_1)) ### All 6
% 0.20/0.42 8. (All M, (All N, ((distinct_lines T_0 M) => ((apart_point_and_line T_2 T_0) \/ ((apart_point_and_line T_2 M) \/ ((unorthogonal_lines T_0 N) \/ (unorthogonal_lines M N))))))) (-. (unorthogonal_lines T_0 T_1)) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 (orthogonal_through_point T_1 T_2)) ### All 7
% 0.20/0.42 9. (All L, (All M, (All N, ((distinct_lines L M) => ((apart_point_and_line T_2 L) \/ ((apart_point_and_line T_2 M) \/ ((unorthogonal_lines L N) \/ (unorthogonal_lines M N)))))))) (distinct_lines T_0 (orthogonal_through_point T_1 T_2)) (-. (apart_point_and_line T_2 T_0)) (-. (unorthogonal_lines T_0 T_1)) ### All 8
% 0.20/0.42 10. (All A, (All L, (All M, (All N, ((distinct_lines L M) => ((apart_point_and_line A L) \/ ((apart_point_and_line A M) \/ ((unorthogonal_lines L N) \/ (unorthogonal_lines M N))))))))) (-. (unorthogonal_lines T_0 T_1)) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 (orthogonal_through_point T_1 T_2)) ### All 9
% 0.20/0.42 11. (-. (((-. (apart_point_and_line T_2 T_0)) /\ (-. (unorthogonal_lines T_0 T_1))) => (-. (distinct_lines T_0 (orthogonal_through_point T_1 T_2))))) (All A, (All L, (All M, (All N, ((distinct_lines L M) => ((apart_point_and_line A L) \/ ((apart_point_and_line A M) \/ ((unorthogonal_lines L N) \/ (unorthogonal_lines M N))))))))) ### ConjTree 10
% 0.20/0.42 12. (-. (All M, (((-. (apart_point_and_line T_2 T_0)) /\ (-. (unorthogonal_lines T_0 M))) => (-. (distinct_lines T_0 (orthogonal_through_point M T_2)))))) (All A, (All L, (All M, (All N, ((distinct_lines L M) => ((apart_point_and_line A L) \/ ((apart_point_and_line A M) \/ ((unorthogonal_lines L N) \/ (unorthogonal_lines M N))))))))) ### NotAllEx 11
% 0.20/0.42 13. (-. (All L, (All M, (((-. (apart_point_and_line T_2 L)) /\ (-. (unorthogonal_lines L M))) => (-. (distinct_lines L (orthogonal_through_point M T_2))))))) (All A, (All L, (All M, (All N, ((distinct_lines L M) => ((apart_point_and_line A L) \/ ((apart_point_and_line A M) \/ ((unorthogonal_lines L N) \/ (unorthogonal_lines M N))))))))) ### NotAllEx 12
% 0.20/0.42 14. (-. (All A, (All L, (All M, (((-. (apart_point_and_line A L)) /\ (-. (unorthogonal_lines L M))) => (-. (distinct_lines L (orthogonal_through_point M A)))))))) (All A, (All L, (All M, (All N, ((distinct_lines L M) => ((apart_point_and_line A L) \/ ((apart_point_and_line A M) \/ ((unorthogonal_lines L N) \/ (unorthogonal_lines M N))))))))) ### NotAllEx 13
% 0.20/0.42 % SZS output end Proof
% 0.20/0.42 (* END-PROOF *)
%------------------------------------------------------------------------------