TSTP Solution File: SEU120+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SEU120+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n018.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 15:59:27 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU120+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 : Sun Jun 19 23:41:34 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.52 Zenon warning: unused variable (B : zenon_U) in idempotence_k3_xboole_0
% 0.19/0.52 (* PROOF-FOUND *)
% 0.19/0.52 % SZS status Theorem
% 0.19/0.52 (* BEGIN-PROOF *)
% 0.19/0.52 % SZS output start Proof
% 0.19/0.52 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)))))).
% 0.19/0.52 Proof.
% 0.19/0.52 apply NNPP. intro zenon_G.
% 0.19/0.52 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_Hb; idtac ].
% 0.19/0.52 elim zenon_Hb. zenon_intro zenon_TA_m. zenon_intro zenon_Hd.
% 0.19/0.52 apply (zenon_notallex_s (fun B : zenon_U => ((~((~(disjoint zenon_TA_m B))/\(forall C : zenon_U, (~(in C (set_intersection2 zenon_TA_m B))))))/\(~((exists C : zenon_U, (in C (set_intersection2 zenon_TA_m B)))/\(disjoint zenon_TA_m B))))) zenon_Hd); [ zenon_intro zenon_He; idtac ].
% 0.19/0.52 elim zenon_He. zenon_intro zenon_TB_p. zenon_intro zenon_H10.
% 0.19/0.52 apply (zenon_notand_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ].
% 0.19/0.52 apply zenon_H12. zenon_intro zenon_H13.
% 0.19/0.52 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.19/0.52 generalize (d7_xboole_0 zenon_TA_m). zenon_intro zenon_H16.
% 0.19/0.52 generalize (zenon_H16 zenon_TB_p). zenon_intro zenon_H17.
% 0.19/0.52 apply (zenon_equiv_s _ _ zenon_H17); [ zenon_intro zenon_H15; zenon_intro zenon_H1a | zenon_intro zenon_H19; zenon_intro zenon_H18 ].
% 0.19/0.52 generalize (d1_xboole_0 (set_intersection2 zenon_TA_m zenon_TB_p)). zenon_intro zenon_H1b.
% 0.19/0.52 apply (zenon_equiv_s _ _ zenon_H1b); [ zenon_intro zenon_H1a; zenon_intro zenon_H1c | zenon_intro zenon_H18; zenon_intro zenon_H14 ].
% 0.19/0.52 exact (zenon_H1c zenon_H14).
% 0.19/0.52 exact (zenon_H1a zenon_H18).
% 0.19/0.52 exact (zenon_H15 zenon_H19).
% 0.19/0.52 apply zenon_H11. zenon_intro zenon_H1d.
% 0.19/0.52 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H1e. zenon_intro zenon_H19.
% 0.19/0.52 elim zenon_H1e. zenon_intro zenon_TC_bf. zenon_intro zenon_H20.
% 0.19/0.52 generalize (d7_xboole_0 zenon_TA_m). zenon_intro zenon_H16.
% 0.19/0.52 generalize (zenon_H16 zenon_TB_p). zenon_intro zenon_H17.
% 0.19/0.52 apply (zenon_equiv_s _ _ zenon_H17); [ zenon_intro zenon_H15; zenon_intro zenon_H1a | zenon_intro zenon_H19; zenon_intro zenon_H18 ].
% 0.19/0.52 exact (zenon_H15 zenon_H19).
% 0.19/0.52 generalize (d1_xboole_0 (set_intersection2 zenon_TA_m zenon_TB_p)). zenon_intro zenon_H1b.
% 0.19/0.52 apply (zenon_equiv_s _ _ zenon_H1b); [ zenon_intro zenon_H1a; zenon_intro zenon_H1c | zenon_intro zenon_H18; zenon_intro zenon_H14 ].
% 0.19/0.52 exact (zenon_H1a zenon_H18).
% 0.19/0.52 generalize (zenon_H14 zenon_TC_bf). zenon_intro zenon_H21.
% 0.19/0.52 exact (zenon_H21 zenon_H20).
% 0.19/0.52 Qed.
% 0.19/0.52 % SZS output end Proof
% 0.19/0.52 (* END-PROOF *)
% 0.19/0.52 nodes searched: 346
% 0.19/0.52 max branch formulas: 103
% 0.19/0.52 proof nodes created: 48
% 0.19/0.52 formulas created: 948
% 0.19/0.52
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