TSTP Solution File: NUN089+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : NUN089+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n029.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 : Mon Jul 18 16:42:16 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Proof 0.20s
% 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 : NUN089+2 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n029.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 : Thu Jun 2 04:16:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.50 (* PROOF-FOUND *)
% 0.20/0.50 % SZS status Theorem
% 0.20/0.50 (* BEGIN-PROOF *)
% 0.20/0.50 % SZS output start Proof
% 0.20/0.50 Theorem zerouneqtwo : (forall Y1 : zenon_U, ((forall Y2 : zenon_U, ((forall Y3 : zenon_U, ((~(r1 Y3))\/(~(r2 Y3 Y2))))\/(~(r2 Y2 Y1))))\/(forall Y4 : zenon_U, ((~(Y4 = Y1))\/(~(r1 Y4)))))).
% 0.20/0.50 Proof.
% 0.20/0.50 apply NNPP. intro zenon_G.
% 0.20/0.50 apply (zenon_notallex_s (fun Y1 : zenon_U => ((forall Y2 : zenon_U, ((forall Y3 : zenon_U, ((~(r1 Y3))\/(~(r2 Y3 Y2))))\/(~(r2 Y2 Y1))))\/(forall Y4 : zenon_U, ((~(Y4 = Y1))\/(~(r1 Y4)))))) zenon_G); [ zenon_intro zenon_Hc; idtac ].
% 0.20/0.50 elim zenon_Hc. zenon_intro zenon_TY1_n. zenon_intro zenon_He.
% 0.20/0.50 apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H10. zenon_intro zenon_Hf.
% 0.20/0.50 apply (zenon_notallex_s (fun Y2 : zenon_U => ((forall Y3 : zenon_U, ((~(r1 Y3))\/(~(r2 Y3 Y2))))\/(~(r2 Y2 zenon_TY1_n)))) zenon_H10); [ zenon_intro zenon_H11; idtac ].
% 0.20/0.50 elim zenon_H11. zenon_intro zenon_TY2_s. zenon_intro zenon_H13.
% 0.20/0.50 apply (zenon_notor_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.20/0.50 apply zenon_H14. zenon_intro zenon_H16.
% 0.20/0.50 apply (zenon_notallex_s (fun Y4 : zenon_U => ((~(Y4 = zenon_TY1_n))\/(~(r1 Y4)))) zenon_Hf); [ zenon_intro zenon_H17; idtac ].
% 0.20/0.50 elim zenon_H17. zenon_intro zenon_TY4_y. zenon_intro zenon_H19.
% 0.20/0.50 apply (zenon_notor_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 0.20/0.50 apply zenon_H1b. zenon_intro zenon_H1c.
% 0.20/0.50 apply zenon_H1a. zenon_intro zenon_H1d.
% 0.20/0.50 generalize (axiom_7a zenon_TY2_s). zenon_intro zenon_H1e.
% 0.20/0.50 generalize (zenon_H1e zenon_TY1_n). zenon_intro zenon_H1f.
% 0.20/0.50 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ].
% 0.20/0.50 generalize (zenon_H21 zenon_TY4_y). zenon_intro zenon_H22.
% 0.20/0.50 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 0.20/0.50 exact (zenon_H24 zenon_H1d).
% 0.20/0.50 exact (zenon_H23 zenon_H1c).
% 0.20/0.50 exact (zenon_H20 zenon_H16).
% 0.20/0.50 Qed.
% 0.20/0.50 % SZS output end Proof
% 0.20/0.50 (* END-PROOF *)
% 0.20/0.50 nodes searched: 530
% 0.20/0.50 max branch formulas: 342
% 0.20/0.50 proof nodes created: 62
% 0.20/0.50 formulas created: 2364
% 0.20/0.50
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