TSTP Solution File: SEU121+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SEU121+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n022.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 15:59:28 EDT 2022
% Result : Theorem 0.35s 0.54s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU121+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 11:46:46 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.35/0.54 Zenon warning: unused variable (B : zenon_U) in idempotence_k3_xboole_0
% 0.35/0.54 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.35/0.54 (* PROOF-FOUND *)
% 0.35/0.54 % SZS status Theorem
% 0.35/0.54 (* BEGIN-PROOF *)
% 0.35/0.54 % SZS output start Proof
% 0.35/0.54 Theorem t1_xboole_1 : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (((subset A B)/\(subset B C))->(subset A C))))).
% 0.35/0.54 Proof.
% 0.35/0.54 apply NNPP. intro zenon_G.
% 0.35/0.54 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (((subset A B)/\(subset B C))->(subset A C))))) zenon_G); [ zenon_intro zenon_H13; idtac ].
% 0.35/0.54 elim zenon_H13. zenon_intro zenon_TA_u. zenon_intro zenon_H15.
% 0.35/0.54 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (((subset zenon_TA_u B)/\(subset B C))->(subset zenon_TA_u C)))) zenon_H15); [ zenon_intro zenon_H16; idtac ].
% 0.35/0.54 elim zenon_H16. zenon_intro zenon_TB_x. zenon_intro zenon_H18.
% 0.35/0.54 apply (zenon_notallex_s (fun C : zenon_U => (((subset zenon_TA_u zenon_TB_x)/\(subset zenon_TB_x C))->(subset zenon_TA_u C))) zenon_H18); [ zenon_intro zenon_H19; idtac ].
% 0.35/0.54 elim zenon_H19. zenon_intro zenon_TC_ba. zenon_intro zenon_H1b.
% 0.35/0.54 apply (zenon_notimply_s _ _ zenon_H1b). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 0.35/0.54 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 0.35/0.54 generalize (d3_tarski zenon_TA_u). zenon_intro zenon_H20.
% 0.35/0.54 generalize (zenon_H20 zenon_TB_x). zenon_intro zenon_H21.
% 0.35/0.54 apply (zenon_equiv_s _ _ zenon_H21); [ zenon_intro zenon_H24; zenon_intro zenon_H23 | zenon_intro zenon_H1f; zenon_intro zenon_H22 ].
% 0.35/0.54 exact (zenon_H24 zenon_H1f).
% 0.35/0.54 generalize (d3_tarski zenon_TB_x). zenon_intro zenon_H25.
% 0.35/0.54 generalize (zenon_H25 zenon_TC_ba). zenon_intro zenon_H26.
% 0.35/0.54 apply (zenon_equiv_s _ _ zenon_H26); [ zenon_intro zenon_H29; zenon_intro zenon_H28 | zenon_intro zenon_H1e; zenon_intro zenon_H27 ].
% 0.35/0.54 exact (zenon_H29 zenon_H1e).
% 0.35/0.54 generalize (d3_tarski zenon_TA_u). zenon_intro zenon_H20.
% 0.35/0.54 generalize (zenon_H20 zenon_TC_ba). zenon_intro zenon_H2a.
% 0.35/0.54 apply (zenon_equiv_s _ _ zenon_H2a); [ zenon_intro zenon_H1c; zenon_intro zenon_H2d | zenon_intro zenon_H2c; zenon_intro zenon_H2b ].
% 0.35/0.54 apply (zenon_notallex_s (fun C : zenon_U => ((in C zenon_TA_u)->(in C zenon_TC_ba))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ].
% 0.35/0.54 elim zenon_H2e. zenon_intro zenon_TC_bv. zenon_intro zenon_H30.
% 0.35/0.54 apply (zenon_notimply_s _ _ zenon_H30). zenon_intro zenon_H32. zenon_intro zenon_H31.
% 0.35/0.54 generalize (zenon_H27 zenon_TC_bv). zenon_intro zenon_H33.
% 0.35/0.54 apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ].
% 0.35/0.54 generalize (zenon_H22 zenon_TC_bv). zenon_intro zenon_H36.
% 0.35/0.54 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 0.35/0.54 exact (zenon_H38 zenon_H32).
% 0.35/0.54 exact (zenon_H35 zenon_H37).
% 0.35/0.54 exact (zenon_H31 zenon_H34).
% 0.35/0.54 exact (zenon_H1c zenon_H2c).
% 0.35/0.54 Qed.
% 0.35/0.54 % SZS output end Proof
% 0.35/0.54 (* END-PROOF *)
% 0.35/0.54 nodes searched: 770
% 0.35/0.54 max branch formulas: 447
% 0.35/0.54 proof nodes created: 61
% 0.35/0.54 formulas created: 4837
% 0.35/0.54
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