TSTP Solution File: GEO082+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO082+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Sat Jul 16 06:59:45 EDT 2022
% Result : Theorem 0.47s 0.69s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO082+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 21:24:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.47/0.69 (* PROOF-FOUND *)
% 0.47/0.69 % SZS status Theorem
% 0.47/0.69 (* BEGIN-PROOF *)
% 0.47/0.69 % SZS output start Proof
% 0.47/0.69 Theorem part_of_antisymmetry : (forall C1 : zenon_U, (forall C2 : zenon_U, (((part_of C1 C2)/\(part_of C2 C1))->(C1 = C2)))).
% 0.47/0.69 Proof.
% 0.47/0.69 apply NNPP. intro zenon_G.
% 0.47/0.69 apply (zenon_notallex_s (fun C1 : zenon_U => (forall C2 : zenon_U, (((part_of C1 C2)/\(part_of C2 C1))->(C1 = C2)))) zenon_G); [ zenon_intro zenon_H11; idtac ].
% 0.47/0.69 elim zenon_H11. zenon_intro zenon_TC1_s. zenon_intro zenon_H13.
% 0.47/0.69 apply (zenon_notallex_s (fun C2 : zenon_U => (((part_of zenon_TC1_s C2)/\(part_of C2 zenon_TC1_s))->(zenon_TC1_s = C2))) zenon_H13); [ zenon_intro zenon_H14; idtac ].
% 0.47/0.69 elim zenon_H14. zenon_intro zenon_TC2_v. zenon_intro zenon_H16.
% 0.47/0.69 apply (zenon_notimply_s _ _ zenon_H16). zenon_intro zenon_H18. zenon_intro zenon_H17.
% 0.47/0.69 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.47/0.69 generalize (part_of_defn zenon_TC2_v). zenon_intro zenon_H1b.
% 0.47/0.69 generalize (zenon_H1b zenon_TC1_s). zenon_intro zenon_H1c.
% 0.47/0.69 apply (zenon_equiv_s _ _ zenon_H1c); [ zenon_intro zenon_H1f; zenon_intro zenon_H1e | zenon_intro zenon_H1a; zenon_intro zenon_H1d ].
% 0.47/0.69 exact (zenon_H1f zenon_H1a).
% 0.47/0.69 generalize (part_of_defn zenon_TC1_s). zenon_intro zenon_H20.
% 0.47/0.69 generalize (zenon_H20 zenon_TC2_v). zenon_intro zenon_H21.
% 0.47/0.69 apply (zenon_equiv_s _ _ zenon_H21); [ zenon_intro zenon_H24; zenon_intro zenon_H23 | zenon_intro zenon_H19; zenon_intro zenon_H22 ].
% 0.47/0.69 exact (zenon_H24 zenon_H19).
% 0.47/0.69 generalize (c9 zenon_TC1_s). zenon_intro zenon_H25.
% 0.47/0.69 generalize (zenon_H25 zenon_TC2_v). zenon_intro zenon_H26.
% 0.47/0.69 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ].
% 0.47/0.69 apply (zenon_notallex_s (fun P : zenon_U => ((incident_c P zenon_TC1_s)<->(incident_c P zenon_TC2_v))) zenon_H28); [ zenon_intro zenon_H29; idtac ].
% 0.47/0.69 elim zenon_H29. zenon_intro zenon_TP_bq. zenon_intro zenon_H2b.
% 0.47/0.69 apply (zenon_notequiv_s _ _ zenon_H2b); [ zenon_intro zenon_H2f; zenon_intro zenon_H2e | zenon_intro zenon_H2d; zenon_intro zenon_H2c ].
% 0.47/0.69 generalize (zenon_H22 zenon_TP_bq). zenon_intro zenon_H30.
% 0.47/0.69 apply (zenon_imply_s _ _ zenon_H30); [ zenon_intro zenon_H2c | zenon_intro zenon_H2d ].
% 0.47/0.69 exact (zenon_H2c zenon_H2e).
% 0.47/0.69 exact (zenon_H2f zenon_H2d).
% 0.47/0.69 generalize (zenon_H1d zenon_TP_bq). zenon_intro zenon_H31.
% 0.47/0.69 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H2f | zenon_intro zenon_H2e ].
% 0.47/0.69 exact (zenon_H2f zenon_H2d).
% 0.47/0.69 exact (zenon_H2c zenon_H2e).
% 0.47/0.69 exact (zenon_H17 zenon_H27).
% 0.47/0.69 Qed.
% 0.47/0.69 % SZS output end Proof
% 0.47/0.69 (* END-PROOF *)
% 0.47/0.69 nodes searched: 7473
% 0.47/0.69 max branch formulas: 2090
% 0.47/0.69 proof nodes created: 454
% 0.47/0.69 formulas created: 37827
% 0.47/0.69
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