TSTP Solution File: SYN356+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : SYN356+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n010.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 : Thu Jul 21 13:51:27 EDT 2022
% Result : Theorem 0.22s 0.55s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN356+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.15 % Command : run_zenon %s %d
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Tue Jul 12 03:04:00 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.55 (* PROOF-FOUND *)
% 0.22/0.55 % SZS status Theorem
% 0.22/0.55 (* BEGIN-PROOF *)
% 0.22/0.55 % SZS output start Proof
% 0.22/0.55 Theorem x2107 : (((big_r (a) (b))/\((forall X : zenon_U, (forall Y : zenon_U, ((big_r X Y)->((big_r Y X)/\(big_q X Y)))))/\(forall U : zenon_U, (forall V : zenon_U, ((big_q U V)->(big_q U U))))))->((big_q (a) (a))/\(big_q (b) (b)))).
% 0.22/0.55 Proof.
% 0.22/0.55 apply NNPP. intro zenon_G.
% 0.22/0.55 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1.
% 0.22/0.55 apply (zenon_and_s _ _ zenon_H2). zenon_intro zenon_H4. zenon_intro zenon_H3.
% 0.22/0.55 apply (zenon_and_s _ _ zenon_H3). zenon_intro zenon_H6. zenon_intro zenon_H5.
% 0.22/0.55 apply (zenon_notand_s _ _ zenon_H1); [ zenon_intro zenon_H8 | zenon_intro zenon_H7 ].
% 0.22/0.55 generalize (zenon_H6 (a)). zenon_intro zenon_H9.
% 0.22/0.55 generalize (zenon_H9 (b)). zenon_intro zenon_Ha.
% 0.22/0.55 apply (zenon_imply_s _ _ zenon_Ha); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ].
% 0.22/0.55 exact (zenon_Hc zenon_H4).
% 0.22/0.55 apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_He. zenon_intro zenon_Hd.
% 0.22/0.55 generalize (zenon_H5 (a)). zenon_intro zenon_Hf.
% 0.22/0.55 generalize (zenon_Hf (b)). zenon_intro zenon_H10.
% 0.22/0.55 apply (zenon_imply_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ].
% 0.22/0.55 exact (zenon_H12 zenon_Hd).
% 0.22/0.55 exact (zenon_H8 zenon_H11).
% 0.22/0.55 generalize (zenon_H6 (b)). zenon_intro zenon_H13.
% 0.22/0.55 generalize (zenon_H13 (a)). zenon_intro zenon_H14.
% 0.22/0.55 apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ].
% 0.22/0.55 generalize (zenon_H6 (a)). zenon_intro zenon_H9.
% 0.22/0.55 generalize (zenon_H9 (b)). zenon_intro zenon_Ha.
% 0.22/0.55 apply (zenon_imply_s _ _ zenon_Ha); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ].
% 0.22/0.55 exact (zenon_Hc zenon_H4).
% 0.22/0.55 apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_He. zenon_intro zenon_Hd.
% 0.22/0.55 exact (zenon_H16 zenon_He).
% 0.22/0.55 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H4. zenon_intro zenon_H17.
% 0.22/0.55 generalize (zenon_H5 (b)). zenon_intro zenon_H18.
% 0.22/0.55 generalize (zenon_H18 (a)). zenon_intro zenon_H19.
% 0.22/0.55 apply (zenon_imply_s _ _ zenon_H19); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ].
% 0.22/0.55 exact (zenon_H1b zenon_H17).
% 0.22/0.55 exact (zenon_H7 zenon_H1a).
% 0.22/0.55 Qed.
% 0.22/0.55 % SZS output end Proof
% 0.22/0.55 (* END-PROOF *)
% 0.22/0.55 nodes searched: 306
% 0.22/0.55 max branch formulas: 85
% 0.22/0.55 proof nodes created: 50
% 0.22/0.55 formulas created: 645
% 0.22/0.55
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