TSTP Solution File: GRP618+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GRP618+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% 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 12:36:20 EDT 2022
% Result : Theorem 0.13s 0.42s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP618+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.09 % Command : run_zenon %s %d
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Mon Jun 13 19:57:36 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.42 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.13/0.42 (* PROOF-FOUND *)
% 0.13/0.42 % SZS status Theorem
% 0.13/0.42 (* BEGIN-PROOF *)
% 0.13/0.42 % SZS output start Proof
% 0.13/0.42 Theorem t1_autgroup : (forall A : zenon_U, (((~(v3_struct_0 A))/\((v1_group_1 A)/\((v3_group_1 A)/\((v4_group_1 A)/\(l1_group_1 A)))))->(forall B : zenon_U, ((m1_group_2 B A)->((forall C : zenon_U, ((m1_subset_1 C (u1_struct_0 A))->(forall D : zenon_U, ((m1_subset_1 D (u1_struct_0 A))->((m1_subset_1 D (u1_struct_0 B))->(r1_rlvect_1 B (k2_group_3 A D C)))))))<->(v1_group_3 B A)))))).
% 0.13/0.42 Proof.
% 0.13/0.42 apply NNPP. intro zenon_G.
% 0.13/0.42 apply (zenon_notallex_s (fun A : zenon_U => (((~(v3_struct_0 A))/\((v1_group_1 A)/\((v3_group_1 A)/\((v4_group_1 A)/\(l1_group_1 A)))))->(forall B : zenon_U, ((m1_group_2 B A)->((forall C : zenon_U, ((m1_subset_1 C (u1_struct_0 A))->(forall D : zenon_U, ((m1_subset_1 D (u1_struct_0 A))->((m1_subset_1 D (u1_struct_0 B))->(r1_rlvect_1 B (k2_group_3 A D C)))))))<->(v1_group_3 B A)))))) zenon_G); [ zenon_intro zenon_H37; idtac ].
% 0.13/0.42 elim zenon_H37. zenon_intro zenon_TA_ce. zenon_intro zenon_H39.
% 0.13/0.42 apply (zenon_notimply_s _ _ zenon_H39). zenon_intro zenon_H3b. zenon_intro zenon_H3a.
% 0.13/0.42 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H3c.
% 0.13/0.42 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3f. zenon_intro zenon_H3e.
% 0.13/0.42 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40.
% 0.13/0.42 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42.
% 0.13/0.42 apply (zenon_notallex_s (fun B : zenon_U => ((m1_group_2 B zenon_TA_ce)->((forall C : zenon_U, ((m1_subset_1 C (u1_struct_0 zenon_TA_ce))->(forall D : zenon_U, ((m1_subset_1 D (u1_struct_0 zenon_TA_ce))->((m1_subset_1 D (u1_struct_0 B))->(r1_rlvect_1 B (k2_group_3 zenon_TA_ce D C)))))))<->(v1_group_3 B zenon_TA_ce)))) zenon_H3a); [ zenon_intro zenon_H44; idtac ].
% 0.13/0.42 elim zenon_H44. zenon_intro zenon_TB_cr. zenon_intro zenon_H46.
% 0.13/0.42 apply (zenon_notimply_s _ _ zenon_H46). zenon_intro zenon_H48. zenon_intro zenon_H47.
% 0.13/0.42 apply (zenon_notequiv_s _ _ zenon_H47); [ zenon_intro zenon_H4c; zenon_intro zenon_H4b | zenon_intro zenon_H4a; zenon_intro zenon_H49 ].
% 0.13/0.42 generalize (l2_autgroup zenon_TA_ce). zenon_intro zenon_H4d.
% 0.13/0.42 apply (zenon_imply_s _ _ zenon_H4d); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 0.13/0.42 apply (zenon_notand_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 0.13/0.42 exact (zenon_H51 zenon_H3d).
% 0.13/0.42 apply (zenon_notand_s _ _ zenon_H50); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ].
% 0.13/0.42 exact (zenon_H53 zenon_H3f).
% 0.13/0.42 apply (zenon_notand_s _ _ zenon_H52); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ].
% 0.13/0.42 exact (zenon_H55 zenon_H41).
% 0.13/0.42 apply (zenon_notand_s _ _ zenon_H54); [ zenon_intro zenon_H57 | zenon_intro zenon_H56 ].
% 0.13/0.42 exact (zenon_H57 zenon_H43).
% 0.13/0.42 exact (zenon_H56 zenon_H42).
% 0.13/0.42 generalize (zenon_H4e zenon_TB_cr). zenon_intro zenon_H58.
% 0.13/0.42 apply (zenon_imply_s _ _ zenon_H58); [ zenon_intro zenon_H5a | zenon_intro zenon_H59 ].
% 0.13/0.42 exact (zenon_H5a zenon_H48).
% 0.13/0.42 apply (zenon_imply_s _ _ zenon_H59); [ zenon_intro zenon_H49 | zenon_intro zenon_H4a ].
% 0.13/0.42 exact (zenon_H49 zenon_H4b).
% 0.13/0.42 exact (zenon_H4c zenon_H4a).
% 0.13/0.42 generalize (l1_autgroup zenon_TA_ce). zenon_intro zenon_H5b.
% 0.13/0.42 apply (zenon_imply_s _ _ zenon_H5b); [ zenon_intro zenon_H4f | zenon_intro zenon_H5c ].
% 0.13/0.42 apply (zenon_notand_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 0.13/0.42 exact (zenon_H51 zenon_H3d).
% 0.13/0.42 apply (zenon_notand_s _ _ zenon_H50); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ].
% 0.13/0.42 exact (zenon_H53 zenon_H3f).
% 0.13/0.42 apply (zenon_notand_s _ _ zenon_H52); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ].
% 0.13/0.42 exact (zenon_H55 zenon_H41).
% 0.13/0.42 apply (zenon_notand_s _ _ zenon_H54); [ zenon_intro zenon_H57 | zenon_intro zenon_H56 ].
% 0.13/0.42 exact (zenon_H57 zenon_H43).
% 0.13/0.42 exact (zenon_H56 zenon_H42).
% 0.13/0.42 generalize (zenon_H5c zenon_TB_cr). zenon_intro zenon_H5d.
% 0.13/0.42 apply (zenon_imply_s _ _ zenon_H5d); [ zenon_intro zenon_H5a | zenon_intro zenon_H5e ].
% 0.13/0.42 exact (zenon_H5a zenon_H48).
% 0.13/0.42 apply (zenon_imply_s _ _ zenon_H5e); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ].
% 0.13/0.42 exact (zenon_H4c zenon_H4a).
% 0.13/0.42 exact (zenon_H49 zenon_H4b).
% 0.13/0.42 Qed.
% 0.13/0.42 % SZS output end Proof
% 0.13/0.42 (* END-PROOF *)
% 0.13/0.42 nodes searched: 513
% 0.13/0.42 max branch formulas: 371
% 0.13/0.42 proof nodes created: 38
% 0.13/0.42 formulas created: 2565
% 0.13/0.42
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