TSTP Solution File: SEU242+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SEU242+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n017.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 16:00:32 EDT 2022
% Result : Theorem 0.39s 0.58s
% Output : Proof 0.39s
% 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 : SEU242+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n017.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 21:09:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.39/0.58 Zenon warning: unused variable (B : zenon_U) in idempotence_k2_xboole_0
% 0.39/0.58 (* PROOF-FOUND *)
% 0.39/0.58 % SZS status Theorem
% 0.39/0.58 (* BEGIN-PROOF *)
% 0.39/0.58 % SZS output start Proof
% 0.39/0.58 Theorem l4_wellord1 : (forall A : zenon_U, ((relation A)->((connected A)<->(forall B : zenon_U, (forall C : zenon_U, (~((in B (relation_field A))/\((in C (relation_field A))/\((~(B = C))/\((~(in (ordered_pair B C) A))/\(~(in (ordered_pair C B) A)))))))))))).
% 0.39/0.58 Proof.
% 0.39/0.58 apply NNPP. intro zenon_G.
% 0.39/0.58 apply (zenon_notallex_s (fun A : zenon_U => ((relation A)->((connected A)<->(forall B : zenon_U, (forall C : zenon_U, (~((in B (relation_field A))/\((in C (relation_field A))/\((~(B = C))/\((~(in (ordered_pair B C) A))/\(~(in (ordered_pair C B) A)))))))))))) zenon_G); [ zenon_intro zenon_H1c; idtac ].
% 0.39/0.58 elim zenon_H1c. zenon_intro zenon_TA_bd. zenon_intro zenon_H1e.
% 0.39/0.58 apply (zenon_notimply_s _ _ zenon_H1e). zenon_intro zenon_H20. zenon_intro zenon_H1f.
% 0.39/0.58 apply (zenon_notequiv_s _ _ zenon_H1f); [ zenon_intro zenon_H24; zenon_intro zenon_H23 | zenon_intro zenon_H22; zenon_intro zenon_H21 ].
% 0.39/0.58 generalize (d14_relat_2 zenon_TA_bd). zenon_intro zenon_H25.
% 0.39/0.58 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 0.39/0.58 exact (zenon_H27 zenon_H20).
% 0.39/0.58 apply (zenon_equiv_s _ _ zenon_H26); [ zenon_intro zenon_H24; zenon_intro zenon_H29 | zenon_intro zenon_H22; zenon_intro zenon_H28 ].
% 0.39/0.58 generalize (d6_relat_2 zenon_TA_bd). zenon_intro zenon_H2a.
% 0.39/0.58 apply (zenon_imply_s _ _ zenon_H2a); [ zenon_intro zenon_H27 | zenon_intro zenon_H2b ].
% 0.39/0.58 exact (zenon_H27 zenon_H20).
% 0.39/0.58 generalize (zenon_H2b (relation_field zenon_TA_bd)). zenon_intro zenon_H2c.
% 0.39/0.58 apply (zenon_equiv_s _ _ zenon_H2c); [ zenon_intro zenon_H29; zenon_intro zenon_H21 | zenon_intro zenon_H28; zenon_intro zenon_H23 ].
% 0.39/0.58 exact (zenon_H21 zenon_H23).
% 0.39/0.58 exact (zenon_H29 zenon_H28).
% 0.39/0.58 exact (zenon_H24 zenon_H22).
% 0.39/0.58 generalize (d6_relat_2 zenon_TA_bd). zenon_intro zenon_H2a.
% 0.39/0.58 apply (zenon_imply_s _ _ zenon_H2a); [ zenon_intro zenon_H27 | zenon_intro zenon_H2b ].
% 0.39/0.58 exact (zenon_H27 zenon_H20).
% 0.39/0.58 generalize (zenon_H2b (relation_field zenon_TA_bd)). zenon_intro zenon_H2c.
% 0.39/0.58 apply (zenon_equiv_s _ _ zenon_H2c); [ zenon_intro zenon_H29; zenon_intro zenon_H21 | zenon_intro zenon_H28; zenon_intro zenon_H23 ].
% 0.39/0.58 generalize (d14_relat_2 zenon_TA_bd). zenon_intro zenon_H25.
% 0.39/0.58 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 0.39/0.58 exact (zenon_H27 zenon_H20).
% 0.39/0.58 apply (zenon_equiv_s _ _ zenon_H26); [ zenon_intro zenon_H24; zenon_intro zenon_H29 | zenon_intro zenon_H22; zenon_intro zenon_H28 ].
% 0.39/0.58 exact (zenon_H24 zenon_H22).
% 0.39/0.58 exact (zenon_H29 zenon_H28).
% 0.39/0.58 exact (zenon_H21 zenon_H23).
% 0.39/0.58 Qed.
% 0.39/0.58 % SZS output end Proof
% 0.39/0.58 (* END-PROOF *)
% 0.39/0.58 nodes searched: 3461
% 0.39/0.58 max branch formulas: 870
% 0.39/0.58 proof nodes created: 324
% 0.39/0.58 formulas created: 15122
% 0.39/0.58
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