TSTP Solution File: SET027+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SET027+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n011.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 06:32:44 EDT 2022
% Result : Theorem 0.68s 0.91s
% Output : Proof 0.68s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET027+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.12 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 20:04:26 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.68/0.91 (* PROOF-FOUND *)
% 0.68/0.91 % SZS status Theorem
% 0.68/0.91 (* BEGIN-PROOF *)
% 0.68/0.91 % SZS output start Proof
% 0.68/0.91 Theorem transitivity : (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, (((subclass X Y)/\(subclass Y Z))->(subclass X Z))))).
% 0.68/0.91 Proof.
% 0.68/0.91 apply NNPP. intro zenon_G.
% 0.68/0.91 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall Z : zenon_U, (((subclass X Y)/\(subclass Y Z))->(subclass X Z))))) zenon_G); [ zenon_intro zenon_H2c; idtac ].
% 0.68/0.91 elim zenon_H2c. zenon_intro zenon_TX_bt. zenon_intro zenon_H2e.
% 0.68/0.91 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, (((subclass zenon_TX_bt Y)/\(subclass Y Z))->(subclass zenon_TX_bt Z)))) zenon_H2e); [ zenon_intro zenon_H2f; idtac ].
% 0.68/0.91 elim zenon_H2f. zenon_intro zenon_TY_bw. zenon_intro zenon_H31.
% 0.68/0.91 apply (zenon_notallex_s (fun Z : zenon_U => (((subclass zenon_TX_bt zenon_TY_bw)/\(subclass zenon_TY_bw Z))->(subclass zenon_TX_bt Z))) zenon_H31); [ zenon_intro zenon_H32; idtac ].
% 0.68/0.91 elim zenon_H32. zenon_intro zenon_TZ_bz. zenon_intro zenon_H34.
% 0.68/0.91 apply (zenon_notimply_s _ _ zenon_H34). zenon_intro zenon_H36. zenon_intro zenon_H35.
% 0.68/0.91 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 0.68/0.91 generalize (subclass_defn zenon_TX_bt). zenon_intro zenon_H39.
% 0.68/0.91 generalize (zenon_H39 zenon_TY_bw). zenon_intro zenon_H3a.
% 0.68/0.91 apply (zenon_equiv_s _ _ zenon_H3a); [ zenon_intro zenon_H3d; zenon_intro zenon_H3c | zenon_intro zenon_H38; zenon_intro zenon_H3b ].
% 0.68/0.91 exact (zenon_H3d zenon_H38).
% 0.68/0.91 generalize (subclass_defn zenon_TY_bw). zenon_intro zenon_H3e.
% 0.68/0.91 generalize (zenon_H3e zenon_TZ_bz). zenon_intro zenon_H3f.
% 0.68/0.91 apply (zenon_equiv_s _ _ zenon_H3f); [ zenon_intro zenon_H42; zenon_intro zenon_H41 | zenon_intro zenon_H37; zenon_intro zenon_H40 ].
% 0.68/0.91 exact (zenon_H42 zenon_H37).
% 0.68/0.91 generalize (subclass_defn zenon_TX_bt). zenon_intro zenon_H39.
% 0.68/0.91 generalize (zenon_H39 zenon_TZ_bz). zenon_intro zenon_H43.
% 0.68/0.91 apply (zenon_equiv_s _ _ zenon_H43); [ zenon_intro zenon_H35; zenon_intro zenon_H46 | zenon_intro zenon_H45; zenon_intro zenon_H44 ].
% 0.68/0.91 apply (zenon_notallex_s (fun U : zenon_U => ((member U zenon_TX_bt)->(member U zenon_TZ_bz))) zenon_H46); [ zenon_intro zenon_H47; idtac ].
% 0.68/0.91 elim zenon_H47. zenon_intro zenon_TU_cu. zenon_intro zenon_H49.
% 0.68/0.91 apply (zenon_notimply_s _ _ zenon_H49). zenon_intro zenon_H4b. zenon_intro zenon_H4a.
% 0.68/0.91 generalize (zenon_H40 zenon_TU_cu). zenon_intro zenon_H4c.
% 0.68/0.91 apply (zenon_imply_s _ _ zenon_H4c); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ].
% 0.68/0.91 generalize (zenon_H3b zenon_TU_cu). zenon_intro zenon_H4f.
% 0.68/0.91 apply (zenon_imply_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 0.68/0.91 exact (zenon_H51 zenon_H4b).
% 0.68/0.91 exact (zenon_H4e zenon_H50).
% 0.68/0.91 exact (zenon_H4a zenon_H4d).
% 0.68/0.91 exact (zenon_H35 zenon_H45).
% 0.68/0.91 Qed.
% 0.68/0.91 % SZS output end Proof
% 0.68/0.91 (* END-PROOF *)
% 0.68/0.91 nodes searched: 15287
% 0.68/0.91 max branch formulas: 3605
% 0.68/0.91 proof nodes created: 1605
% 0.68/0.91 formulas created: 66726
% 0.68/0.91
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