TSTP Solution File: SEU130+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SEU130+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n028.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 : Tue Jul 19 15:59:33 EDT 2022
% Result : Theorem 5.84s 6.03s
% Output : Proof 5.84s
% 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 : SEU130+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_zenon %s %d
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 03:39:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.84/6.03 Zenon warning: unused variable (B : zenon_U) in idempotence_k3_xboole_0
% 5.84/6.03 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 5.84/6.03 (* PROOF-FOUND *)
% 5.84/6.03 % SZS status Theorem
% 5.84/6.03 (* BEGIN-PROOF *)
% 5.84/6.03 % SZS output start Proof
% 5.84/6.03 Theorem t28_xboole_1 : (forall A : zenon_U, (forall B : zenon_U, ((subset A B)->((set_intersection2 A B) = A)))).
% 5.84/6.03 Proof.
% 5.84/6.03 assert (zenon_L1_ : forall (zenon_TB_t : zenon_U) (zenon_TA_u : zenon_U) (zenon_TD_v : zenon_U), ((in zenon_TD_v zenon_TA_u)/\(in zenon_TD_v zenon_TB_t)) -> (~(in zenon_TD_v zenon_TA_u)) -> False).
% 5.84/6.03 do 3 intro. intros zenon_H11 zenon_H12.
% 5.84/6.03 apply (zenon_and_s _ _ zenon_H11). zenon_intro zenon_H17. zenon_intro zenon_H16.
% 5.84/6.03 exact (zenon_H12 zenon_H17).
% 5.84/6.03 (* end of lemma zenon_L1_ *)
% 5.84/6.03 apply NNPP. intro zenon_G.
% 5.84/6.03 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, ((subset A B)->((set_intersection2 A B) = A)))) zenon_G); [ zenon_intro zenon_H18; idtac ].
% 5.84/6.03 elim zenon_H18. zenon_intro zenon_TA_u. zenon_intro zenon_H19.
% 5.84/6.03 apply (zenon_notallex_s (fun B : zenon_U => ((subset zenon_TA_u B)->((set_intersection2 zenon_TA_u B) = zenon_TA_u))) zenon_H19); [ zenon_intro zenon_H1a; idtac ].
% 5.84/6.03 elim zenon_H1a. zenon_intro zenon_TB_t. zenon_intro zenon_H1b.
% 5.84/6.03 apply (zenon_notimply_s _ _ zenon_H1b). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 5.84/6.03 generalize (d3_tarski zenon_TA_u). zenon_intro zenon_H1e.
% 5.84/6.03 generalize (zenon_H1e zenon_TB_t). zenon_intro zenon_H1f.
% 5.84/6.03 apply (zenon_equiv_s _ _ zenon_H1f); [ zenon_intro zenon_H22; zenon_intro zenon_H21 | zenon_intro zenon_H1d; zenon_intro zenon_H20 ].
% 5.84/6.03 exact (zenon_H22 zenon_H1d).
% 5.84/6.03 generalize (d3_xboole_0 zenon_TA_u). zenon_intro zenon_H23.
% 5.84/6.03 generalize (zenon_H23 zenon_TB_t). zenon_intro zenon_H24.
% 5.84/6.03 generalize (zenon_H24 zenon_TA_u). zenon_intro zenon_H25.
% 5.84/6.03 apply (zenon_equiv_s _ _ zenon_H25); [ zenon_intro zenon_H29; zenon_intro zenon_H28 | zenon_intro zenon_H27; zenon_intro zenon_H26 ].
% 5.84/6.03 apply (zenon_notallex_s (fun D : zenon_U => ((in D zenon_TA_u)<->((in D zenon_TA_u)/\(in D zenon_TB_t)))) zenon_H28); [ zenon_intro zenon_H2a; idtac ].
% 5.84/6.03 elim zenon_H2a. zenon_intro zenon_TD_v. zenon_intro zenon_H2b.
% 5.84/6.03 apply (zenon_notequiv_s _ _ zenon_H2b); [ zenon_intro zenon_H12; zenon_intro zenon_H11 | zenon_intro zenon_H17; zenon_intro zenon_H2c ].
% 5.84/6.03 apply (zenon_L1_ zenon_TB_t zenon_TA_u zenon_TD_v); trivial.
% 5.84/6.03 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_H12 | zenon_intro zenon_H2d ].
% 5.84/6.03 exact (zenon_H12 zenon_H17).
% 5.84/6.03 generalize (zenon_H20 zenon_TD_v). zenon_intro zenon_H2e.
% 5.84/6.03 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H12 | zenon_intro zenon_H16 ].
% 5.84/6.03 exact (zenon_H12 zenon_H17).
% 5.84/6.03 exact (zenon_H2d zenon_H16).
% 5.84/6.03 apply zenon_H1c. apply sym_equal. exact zenon_H27.
% 5.84/6.03 Qed.
% 5.84/6.03 % SZS output end Proof
% 5.84/6.03 (* END-PROOF *)
% 5.84/6.03 nodes searched: 270197
% 5.84/6.03 max branch formulas: 4189
% 5.84/6.03 proof nodes created: 12961
% 5.84/6.03 formulas created: 383409
% 5.84/6.03
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