TSTP Solution File: GEO226+3 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO226+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 : n005.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 06:31:22 EDT 2022
% Result : Theorem 0.20s 0.41s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO226+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 02:40:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.41 % SZS status Theorem
% 0.20/0.41 (* PROOF-FOUND *)
% 0.20/0.41 (* BEGIN-PROOF *)
% 0.20/0.41 % SZS output start Proof
% 0.20/0.41 1. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom
% 0.20/0.41 2. (apart_point_and_line (intersection_point T_0 T_1) T_0) (-. (apart_point_and_line (intersection_point T_0 T_1) T_0)) ### Axiom
% 0.20/0.41 3. ((convergent_lines T_0 T_1) => (-. (apart_point_and_line (intersection_point T_0 T_1) T_0))) (apart_point_and_line (intersection_point T_0 T_1) T_0) (convergent_lines T_0 T_1) ### Imply 1 2
% 0.20/0.41 4. (All Y, ((convergent_lines T_0 Y) => (-. (apart_point_and_line (intersection_point T_0 Y) T_0)))) (convergent_lines T_0 T_1) (apart_point_and_line (intersection_point T_0 T_1) T_0) ### All 3
% 0.20/0.41 5. (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (apart_point_and_line (intersection_point T_0 T_1) T_0) (convergent_lines T_0 T_1) ### All 4
% 0.20/0.41 6. (-. (incident_point_and_line (intersection_point T_0 T_1) T_0)) (convergent_lines T_0 T_1) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### Extension/test/not_a4 5
% 0.20/0.41 7. (-. (apart_point_and_line (intersection_point T_0 T_1) T_1)) (apart_point_and_line (intersection_point T_0 T_1) T_1) ### Axiom
% 0.20/0.41 8. (-. (incident_point_and_line (intersection_point T_0 T_1) T_1)) (-. (apart_point_and_line (intersection_point T_0 T_1) T_1)) ### Extension/test/not_a4 7
% 0.20/0.41 9. (-. ((incident_point_and_line (intersection_point T_0 T_1) T_0) /\ (incident_point_and_line (intersection_point T_0 T_1) T_1))) (-. (apart_point_and_line (intersection_point T_0 T_1) T_1)) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (convergent_lines T_0 T_1) ### NotAnd 6 8
% 0.20/0.41 10. (-. ((point (intersection_point T_0 T_1)) => ((incident_point_and_line (intersection_point T_0 T_1) T_0) /\ (incident_point_and_line (intersection_point T_0 T_1) T_1)))) (convergent_lines T_0 T_1) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (-. (apart_point_and_line (intersection_point T_0 T_1) T_1)) ### NotImply 9
% 0.20/0.41 11. (-. (Ex X, ((point X) => ((incident_point_and_line X T_0) /\ (incident_point_and_line X T_1))))) (-. (apart_point_and_line (intersection_point T_0 T_1) T_1)) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (convergent_lines T_0 T_1) ### NotExists 10
% 0.20/0.41 12. (convergent_lines T_0 T_1) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (-. (Ex X, ((point X) => ((incident_point_and_line X T_0) /\ (incident_point_and_line X T_1))))) ### Extension/test/ci4 11
% 0.20/0.41 13. (-. (((line T_0) /\ ((line T_1) /\ (convergent_lines T_0 T_1))) => (Ex X, ((point X) => ((incident_point_and_line X T_0) /\ (incident_point_and_line X T_1)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### ConjTree 12
% 0.20/0.41 14. (-. (All M, (((line T_0) /\ ((line M) /\ (convergent_lines T_0 M))) => (Ex X, ((point X) => ((incident_point_and_line X T_0) /\ (incident_point_and_line X M))))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### NotAllEx 13
% 0.20/0.41 15. (-. (All L, (All M, (((line L) /\ ((line M) /\ (convergent_lines L M))) => (Ex X, ((point X) => ((incident_point_and_line X L) /\ (incident_point_and_line X M)))))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### NotAllEx 14
% 0.20/0.41 % SZS output end Proof
% 0.20/0.41 (* END-PROOF *)
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