TSTP Solution File: GEO081+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO081+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Sat Jul 16 06:59:44 EDT 2022
% Result : Theorem 0.37s 0.56s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GEO081+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.09 % Command : run_zenon %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Sat Jun 18 00:59:16 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.37/0.56 (* PROOF-FOUND *)
% 0.37/0.56 % SZS status Theorem
% 0.37/0.56 (* BEGIN-PROOF *)
% 0.37/0.56 % SZS output start Proof
% 0.37/0.56 Theorem part_of_transitivity : (forall C1 : zenon_U, (forall C2 : zenon_U, (forall C3 : zenon_U, (((part_of C1 C2)/\(part_of C2 C3))->(part_of C1 C3))))).
% 0.37/0.56 Proof.
% 0.37/0.56 apply NNPP. intro zenon_G.
% 0.37/0.56 apply (zenon_notallex_s (fun C1 : zenon_U => (forall C2 : zenon_U, (forall C3 : zenon_U, (((part_of C1 C2)/\(part_of C2 C3))->(part_of C1 C3))))) zenon_G); [ zenon_intro zenon_H11; idtac ].
% 0.37/0.56 elim zenon_H11. zenon_intro zenon_TC1_s. zenon_intro zenon_H13.
% 0.37/0.56 apply (zenon_notallex_s (fun C2 : zenon_U => (forall C3 : zenon_U, (((part_of zenon_TC1_s C2)/\(part_of C2 C3))->(part_of zenon_TC1_s C3)))) zenon_H13); [ zenon_intro zenon_H14; idtac ].
% 0.37/0.56 elim zenon_H14. zenon_intro zenon_TC2_v. zenon_intro zenon_H16.
% 0.37/0.56 apply (zenon_notallex_s (fun C3 : zenon_U => (((part_of zenon_TC1_s zenon_TC2_v)/\(part_of zenon_TC2_v C3))->(part_of zenon_TC1_s C3))) zenon_H16); [ zenon_intro zenon_H17; idtac ].
% 0.37/0.56 elim zenon_H17. zenon_intro zenon_TC3_y. zenon_intro zenon_H19.
% 0.37/0.56 apply (zenon_notimply_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 0.37/0.56 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 0.37/0.56 generalize (part_of_defn zenon_TC2_v). zenon_intro zenon_H1e.
% 0.37/0.56 generalize (zenon_H1e zenon_TC1_s). zenon_intro zenon_H1f.
% 0.37/0.56 apply (zenon_equiv_s _ _ zenon_H1f); [ zenon_intro zenon_H22; zenon_intro zenon_H21 | zenon_intro zenon_H1d; zenon_intro zenon_H20 ].
% 0.37/0.56 exact (zenon_H22 zenon_H1d).
% 0.37/0.56 generalize (part_of_defn zenon_TC3_y). zenon_intro zenon_H23.
% 0.37/0.56 generalize (zenon_H23 zenon_TC2_v). zenon_intro zenon_H24.
% 0.37/0.56 apply (zenon_equiv_s _ _ zenon_H24); [ zenon_intro zenon_H27; zenon_intro zenon_H26 | zenon_intro zenon_H1c; zenon_intro zenon_H25 ].
% 0.37/0.56 exact (zenon_H27 zenon_H1c).
% 0.37/0.56 generalize (part_of_defn zenon_TC3_y). zenon_intro zenon_H23.
% 0.37/0.56 generalize (zenon_H23 zenon_TC1_s). zenon_intro zenon_H28.
% 0.37/0.56 apply (zenon_equiv_s _ _ zenon_H28); [ zenon_intro zenon_H1a; zenon_intro zenon_H2b | zenon_intro zenon_H2a; zenon_intro zenon_H29 ].
% 0.37/0.56 apply (zenon_notallex_s (fun P : zenon_U => ((incident_c P zenon_TC1_s)->(incident_c P zenon_TC3_y))) zenon_H2b); [ zenon_intro zenon_H2c; idtac ].
% 0.37/0.56 elim zenon_H2c. zenon_intro zenon_TP_bt. zenon_intro zenon_H2e.
% 0.37/0.56 apply (zenon_notimply_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 0.37/0.56 generalize (zenon_H25 zenon_TP_bt). zenon_intro zenon_H31.
% 0.37/0.56 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ].
% 0.37/0.56 generalize (zenon_H20 zenon_TP_bt). zenon_intro zenon_H34.
% 0.37/0.56 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ].
% 0.37/0.56 exact (zenon_H36 zenon_H30).
% 0.37/0.56 exact (zenon_H33 zenon_H35).
% 0.37/0.56 exact (zenon_H2f zenon_H32).
% 0.37/0.56 exact (zenon_H1a zenon_H2a).
% 0.37/0.56 Qed.
% 0.37/0.56 % SZS output end Proof
% 0.37/0.56 (* END-PROOF *)
% 0.37/0.56 nodes searched: 6747
% 0.37/0.56 max branch formulas: 2667
% 0.37/0.56 proof nodes created: 358
% 0.37/0.56 formulas created: 43457
% 0.37/0.56
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