TSTP Solution File: GEO214+2 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO214+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 : n020.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 06:31:12 EDT 2022
% Result : Theorem 13.28s 13.44s
% Output : Proof 13.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO214+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n020.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 : Fri Jun 17 18:20:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 13.28/13.44 % SZS status Theorem
% 13.28/13.44 (* PROOF-FOUND *)
% 13.28/13.44 (* BEGIN-PROOF *)
% 13.28/13.44 % SZS output start Proof
% 13.28/13.44 1. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom
% 13.28/13.44 2. (-. (convergent_lines T_0 T_0)) (convergent_lines T_0 T_0) ### Axiom
% 13.28/13.44 3. (-. (convergent_lines T_1 T_0)) (convergent_lines T_1 T_0) ### Axiom
% 13.28/13.44 4. ((convergent_lines T_0 T_1) => ((convergent_lines T_0 T_0) \/ (convergent_lines T_1 T_0))) (-. (convergent_lines T_1 T_0)) (-. (convergent_lines T_0 T_0)) (convergent_lines T_0 T_1) ### DisjTree 1 2 3
% 13.28/13.44 5. (All Z, ((convergent_lines T_0 T_1) => ((convergent_lines T_0 Z) \/ (convergent_lines T_1 Z)))) (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_0)) (-. (convergent_lines T_1 T_0)) ### All 4
% 13.28/13.44 6. (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_1 T_0)) (-. (convergent_lines T_0 T_0)) (convergent_lines T_0 T_1) ### All 5
% 13.28/13.44 7. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_0)) (-. (convergent_lines T_1 T_0)) ### All 6
% 13.28/13.44 8. (All X, (-. (convergent_lines X X))) (-. (convergent_lines T_1 T_0)) (convergent_lines T_0 T_1) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### All 7
% 13.28/13.44 9. (unorthogonal_lines T_1 T_0) (-. (unorthogonal_lines T_1 T_0)) ### Axiom
% 13.28/13.44 10. (-. (convergent_lines T_1 T_1)) (convergent_lines T_1 T_1) ### Axiom
% 13.28/13.44 11. ((convergent_lines T_1 T_1) /\ (unorthogonal_lines T_1 T_1)) (-. (convergent_lines T_1 T_1)) ### And 10
% 13.28/13.44 12. (-. (unorthogonal_lines T_0 T_1)) (unorthogonal_lines T_0 T_1) ### Axiom
% 13.28/13.44 13. ((convergent_lines T_0 T_1) /\ (unorthogonal_lines T_0 T_1)) (-. (unorthogonal_lines T_0 T_1)) ### And 12
% 13.28/13.44 14. (((convergent_lines T_1 T_0) /\ (unorthogonal_lines T_1 T_0)) => (((convergent_lines T_1 T_1) /\ (unorthogonal_lines T_1 T_1)) \/ ((convergent_lines T_0 T_1) /\ (unorthogonal_lines T_0 T_1)))) (-. (unorthogonal_lines T_0 T_1)) (-. (convergent_lines T_1 T_1)) (unorthogonal_lines T_1 T_0) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (convergent_lines T_0 T_1) (All X, (-. (convergent_lines X X))) ### DisjTree 8 9 11 13
% 13.28/13.44 15. (All N, (((convergent_lines T_1 T_0) /\ (unorthogonal_lines T_1 T_0)) => (((convergent_lines T_1 N) /\ (unorthogonal_lines T_1 N)) \/ ((convergent_lines T_0 N) /\ (unorthogonal_lines T_0 N))))) (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_1) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (unorthogonal_lines T_1 T_0) (-. (convergent_lines T_1 T_1)) (-. (unorthogonal_lines T_0 T_1)) ### All 14
% 13.28/13.44 16. (All M, (All N, (((convergent_lines T_1 M) /\ (unorthogonal_lines T_1 M)) => (((convergent_lines T_1 N) /\ (unorthogonal_lines T_1 N)) \/ ((convergent_lines M N) /\ (unorthogonal_lines M N)))))) (-. (unorthogonal_lines T_0 T_1)) (-. (convergent_lines T_1 T_1)) (unorthogonal_lines T_1 T_0) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (convergent_lines T_0 T_1) (All X, (-. (convergent_lines X X))) ### All 15
% 13.28/13.44 17. (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_1) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (unorthogonal_lines T_1 T_0) (-. (unorthogonal_lines T_0 T_1)) (All M, (All N, (((convergent_lines T_1 M) /\ (unorthogonal_lines T_1 M)) => (((convergent_lines T_1 N) /\ (unorthogonal_lines T_1 N)) \/ ((convergent_lines M N) /\ (unorthogonal_lines M N)))))) ### All 16
% 13.28/13.44 18. (All L, (All M, (All N, (((convergent_lines L M) /\ (unorthogonal_lines L M)) => (((convergent_lines L N) /\ (unorthogonal_lines L N)) \/ ((convergent_lines M N) /\ (unorthogonal_lines M N))))))) (-. (unorthogonal_lines T_0 T_1)) (unorthogonal_lines T_1 T_0) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (convergent_lines T_0 T_1) (All X, (-. (convergent_lines X X))) ### All 17
% 13.28/13.44 19. (-. (unorthogonal_lines T_0 T_1)) (unorthogonal_lines T_0 T_1) ### Axiom
% 13.28/13.44 20. ((convergent_lines T_0 T_1) \/ (unorthogonal_lines T_0 T_1)) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (unorthogonal_lines T_1 T_0) (-. (unorthogonal_lines T_0 T_1)) (All L, (All M, (All N, (((convergent_lines L M) /\ (unorthogonal_lines L M)) => (((convergent_lines L N) /\ (unorthogonal_lines L N)) \/ ((convergent_lines M N) /\ (unorthogonal_lines M N))))))) ### Or 18 19
% 13.28/13.44 21. (All M, ((convergent_lines T_0 M) \/ (unorthogonal_lines T_0 M))) (All L, (All M, (All N, (((convergent_lines L M) /\ (unorthogonal_lines L M)) => (((convergent_lines L N) /\ (unorthogonal_lines L N)) \/ ((convergent_lines M N) /\ (unorthogonal_lines M N))))))) (-. (unorthogonal_lines T_0 T_1)) (unorthogonal_lines T_1 T_0) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) ### All 20
% 13.28/13.44 22. (All L, (All M, ((convergent_lines L M) \/ (unorthogonal_lines L M)))) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (unorthogonal_lines T_1 T_0) (-. (unorthogonal_lines T_0 T_1)) (All L, (All M, (All N, (((convergent_lines L M) /\ (unorthogonal_lines L M)) => (((convergent_lines L N) /\ (unorthogonal_lines L N)) \/ ((convergent_lines M N) /\ (unorthogonal_lines M N))))))) ### All 21
% 13.28/13.44 23. (-. ((unorthogonal_lines T_1 T_0) => (unorthogonal_lines T_0 T_1))) (All L, (All M, (All N, (((convergent_lines L M) /\ (unorthogonal_lines L M)) => (((convergent_lines L N) /\ (unorthogonal_lines L N)) \/ ((convergent_lines M N) /\ (unorthogonal_lines M N))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (All L, (All M, ((convergent_lines L M) \/ (unorthogonal_lines L M)))) ### NotImply 22
% 13.28/13.44 24. (-. (All M, ((unorthogonal_lines T_1 M) => (unorthogonal_lines M T_1)))) (All L, (All M, ((convergent_lines L M) \/ (unorthogonal_lines L M)))) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All L, (All M, (All N, (((convergent_lines L M) /\ (unorthogonal_lines L M)) => (((convergent_lines L N) /\ (unorthogonal_lines L N)) \/ ((convergent_lines M N) /\ (unorthogonal_lines M N))))))) ### NotAllEx 23
% 13.28/13.44 25. (-. (All L, (All M, ((unorthogonal_lines L M) => (unorthogonal_lines M L))))) (All L, (All M, (All N, (((convergent_lines L M) /\ (unorthogonal_lines L M)) => (((convergent_lines L N) /\ (unorthogonal_lines L N)) \/ ((convergent_lines M N) /\ (unorthogonal_lines M N))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (All L, (All M, ((convergent_lines L M) \/ (unorthogonal_lines L M)))) ### NotAllEx 24
% 13.28/13.44 % SZS output end Proof
% 13.28/13.44 (* END-PROOF *)
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