TSTP Solution File: SEU121+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SEU121+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n032.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 0.15s 0.42s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SEU121+1 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.11 % Command : run_zenon %s %d
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Mon Jun 20 06:55:18 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.15/0.42 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.15/0.42 (* PROOF-FOUND *)
% 0.15/0.42 % SZS status Theorem
% 0.15/0.42 (* BEGIN-PROOF *)
% 0.15/0.42 % SZS output start Proof
% 0.15/0.42 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))))).
% 0.15/0.42 Proof.
% 0.15/0.42 apply NNPP. intro zenon_G.
% 0.15/0.42 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_Hb; idtac ].
% 0.15/0.42 elim zenon_Hb. zenon_intro zenon_TA_m. zenon_intro zenon_Hd.
% 0.15/0.42 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (((subset zenon_TA_m B)/\(subset B C))->(subset zenon_TA_m C)))) zenon_Hd); [ zenon_intro zenon_He; idtac ].
% 0.15/0.42 elim zenon_He. zenon_intro zenon_TB_p. zenon_intro zenon_H10.
% 0.15/0.42 apply (zenon_notallex_s (fun C : zenon_U => (((subset zenon_TA_m zenon_TB_p)/\(subset zenon_TB_p C))->(subset zenon_TA_m C))) zenon_H10); [ zenon_intro zenon_H11; idtac ].
% 0.15/0.42 elim zenon_H11. zenon_intro zenon_TC_s. zenon_intro zenon_H13.
% 0.15/0.42 apply (zenon_notimply_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.15/0.42 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16.
% 0.15/0.42 generalize (d3_tarski zenon_TA_m). zenon_intro zenon_H18.
% 0.15/0.42 generalize (zenon_H18 zenon_TB_p). zenon_intro zenon_H19.
% 0.15/0.42 apply (zenon_equiv_s _ _ zenon_H19); [ zenon_intro zenon_H1c; zenon_intro zenon_H1b | zenon_intro zenon_H17; zenon_intro zenon_H1a ].
% 0.15/0.42 exact (zenon_H1c zenon_H17).
% 0.15/0.42 generalize (d3_tarski zenon_TB_p). zenon_intro zenon_H1d.
% 0.15/0.42 generalize (zenon_H1d zenon_TC_s). zenon_intro zenon_H1e.
% 0.15/0.42 apply (zenon_equiv_s _ _ zenon_H1e); [ zenon_intro zenon_H21; zenon_intro zenon_H20 | zenon_intro zenon_H16; zenon_intro zenon_H1f ].
% 0.15/0.42 exact (zenon_H21 zenon_H16).
% 0.15/0.42 generalize (d3_tarski zenon_TA_m). zenon_intro zenon_H18.
% 0.15/0.42 generalize (zenon_H18 zenon_TC_s). zenon_intro zenon_H22.
% 0.15/0.42 apply (zenon_equiv_s _ _ zenon_H22); [ zenon_intro zenon_H14; zenon_intro zenon_H25 | zenon_intro zenon_H24; zenon_intro zenon_H23 ].
% 0.15/0.42 apply (zenon_notallex_s (fun C : zenon_U => ((in C zenon_TA_m)->(in C zenon_TC_s))) zenon_H25); [ zenon_intro zenon_H26; idtac ].
% 0.15/0.42 elim zenon_H26. zenon_intro zenon_TC_bn. zenon_intro zenon_H28.
% 0.15/0.42 apply (zenon_notimply_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 0.15/0.42 generalize (zenon_H1f zenon_TC_bn). zenon_intro zenon_H2b.
% 0.15/0.42 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ].
% 0.15/0.42 generalize (zenon_H1a zenon_TC_bn). zenon_intro zenon_H2e.
% 0.15/0.42 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.15/0.42 exact (zenon_H30 zenon_H2a).
% 0.15/0.42 exact (zenon_H2d zenon_H2f).
% 0.15/0.42 exact (zenon_H29 zenon_H2c).
% 0.15/0.42 exact (zenon_H14 zenon_H24).
% 0.15/0.42 Qed.
% 0.15/0.42 % SZS output end Proof
% 0.15/0.42 (* END-PROOF *)
% 0.15/0.42 nodes searched: 68
% 0.15/0.42 max branch formulas: 70
% 0.15/0.42 proof nodes created: 22
% 0.15/0.42 formulas created: 484
% 0.15/0.42
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