TSTP Solution File: SEU120+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SEU120+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n004.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 6.33s 6.50s
% Output : Proof 6.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU120+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jun 19 13:23:53 EDT 2022
% 0.11/0.33 % CPUTime :
% 6.33/6.50 Zenon warning: unused variable (B : zenon_U) in idempotence_k3_xboole_0
% 6.33/6.50 (* PROOF-FOUND *)
% 6.33/6.50 % SZS status Theorem
% 6.33/6.50 (* BEGIN-PROOF *)
% 6.33/6.50 % SZS output start Proof
% 6.33/6.50 Theorem t4_xboole_0 : (forall A : zenon_U, (forall B : zenon_U, ((~((~(disjoint A B))/\(forall C : zenon_U, (~(in C (set_intersection2 A B))))))/\(~((exists C : zenon_U, (in C (set_intersection2 A B)))/\(disjoint A B)))))).
% 6.33/6.50 Proof.
% 6.33/6.50 apply NNPP. intro zenon_G.
% 6.33/6.50 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, ((~((~(disjoint A B))/\(forall C : zenon_U, (~(in C (set_intersection2 A B))))))/\(~((exists C : zenon_U, (in C (set_intersection2 A B)))/\(disjoint A B)))))) zenon_G); [ zenon_intro zenon_Hd; idtac ].
% 6.33/6.50 elim zenon_Hd. zenon_intro zenon_TA_o. zenon_intro zenon_Hf.
% 6.33/6.50 apply (zenon_notallex_s (fun B : zenon_U => ((~((~(disjoint zenon_TA_o B))/\(forall C : zenon_U, (~(in C (set_intersection2 zenon_TA_o B))))))/\(~((exists C : zenon_U, (in C (set_intersection2 zenon_TA_o B)))/\(disjoint zenon_TA_o B))))) zenon_Hf); [ zenon_intro zenon_H10; idtac ].
% 6.33/6.50 elim zenon_H10. zenon_intro zenon_TB_r. zenon_intro zenon_H12.
% 6.33/6.50 apply (zenon_notand_s _ _ zenon_H12); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ].
% 6.33/6.50 apply zenon_H14. zenon_intro zenon_H15.
% 6.33/6.50 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16.
% 6.33/6.50 generalize (d7_xboole_0 zenon_TA_o). zenon_intro zenon_H18.
% 6.33/6.50 generalize (zenon_H18 zenon_TB_r). zenon_intro zenon_H19.
% 6.33/6.50 apply (zenon_equiv_s _ _ zenon_H19); [ zenon_intro zenon_H17; zenon_intro zenon_H1c | zenon_intro zenon_H1b; zenon_intro zenon_H1a ].
% 6.33/6.50 generalize (d1_xboole_0 (set_intersection2 zenon_TA_o zenon_TB_r)). zenon_intro zenon_H1d.
% 6.33/6.50 apply (zenon_equiv_s _ _ zenon_H1d); [ zenon_intro zenon_H1c; zenon_intro zenon_H1e | zenon_intro zenon_H1a; zenon_intro zenon_H16 ].
% 6.33/6.50 exact (zenon_H1e zenon_H16).
% 6.33/6.50 exact (zenon_H1c zenon_H1a).
% 6.33/6.50 exact (zenon_H17 zenon_H1b).
% 6.33/6.50 apply zenon_H13. zenon_intro zenon_H1f.
% 6.33/6.50 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H20. zenon_intro zenon_H1b.
% 6.33/6.50 elim zenon_H20. zenon_intro zenon_TC_bh. zenon_intro zenon_H22.
% 6.33/6.50 generalize (d7_xboole_0 zenon_TA_o). zenon_intro zenon_H18.
% 6.33/6.50 generalize (zenon_H18 zenon_TB_r). zenon_intro zenon_H19.
% 6.33/6.50 apply (zenon_equiv_s _ _ zenon_H19); [ zenon_intro zenon_H17; zenon_intro zenon_H1c | zenon_intro zenon_H1b; zenon_intro zenon_H1a ].
% 6.33/6.50 exact (zenon_H17 zenon_H1b).
% 6.33/6.50 generalize (d1_xboole_0 (set_intersection2 zenon_TA_o zenon_TB_r)). zenon_intro zenon_H1d.
% 6.33/6.50 apply (zenon_equiv_s _ _ zenon_H1d); [ zenon_intro zenon_H1c; zenon_intro zenon_H1e | zenon_intro zenon_H1a; zenon_intro zenon_H16 ].
% 6.33/6.50 exact (zenon_H1c zenon_H1a).
% 6.33/6.50 generalize (zenon_H16 zenon_TC_bh). zenon_intro zenon_H23.
% 6.33/6.50 exact (zenon_H23 zenon_H22).
% 6.33/6.50 Qed.
% 6.33/6.50 % SZS output end Proof
% 6.33/6.50 (* END-PROOF *)
% 6.33/6.50 nodes searched: 201461
% 6.33/6.50 max branch formulas: 3828
% 6.33/6.50 proof nodes created: 11899
% 6.33/6.50 formulas created: 421339
% 6.33/6.50
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