TSTP Solution File: CSR026+3 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : CSR026+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n026.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 00:01:48 EDT 2022
% Result : Theorem 80.69s 80.90s
% Output : Proof 80.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : CSR026+3 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.14 % Command : run_zenon %s %d
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 11 17:22:49 EDT 2022
% 0.14/0.36 % CPUTime :
% 80.69/80.90 (* PROOF-FOUND *)
% 80.69/80.90 % SZS status Theorem
% 80.69/80.90 (* BEGIN-PROOF *)
% 80.69/80.90 % SZS output start Proof
% 80.69/80.90 Theorem query126 : ((mtvisible (c_tptp_spindlecollectormt))->(tptpofobject (c_tptprunningshorts) (f_tptpquantityfn_2 (n_756)))).
% 80.69/80.90 Proof.
% 80.69/80.90 assert (zenon_L1_ : (~((c_tptp_spindleheadmt) = (c_tptp_spindleheadmt))) -> False).
% 80.69/80.90 do 0 intro. intros zenon_H1ce5.
% 80.69/80.90 apply zenon_H1ce5. apply refl_equal.
% 80.69/80.90 (* end of lemma zenon_L1_ *)
% 80.69/80.90 apply NNPP. intro zenon_G.
% 80.69/80.90 elim (classic (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genlmt x y)->((genlmt y z)->(genlmt x z))))))); [ zenon_intro zenon_H1ce6 | zenon_intro zenon_H1ce7 ].
% 80.69/80.90 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H1ce9. zenon_intro zenon_H1ce8.
% 80.69/80.90 apply (zenon_imply_s _ _ ax2_1317); [ zenon_intro zenon_H1ceb | zenon_intro zenon_H1cea ].
% 80.69/80.90 generalize (ax2_7997 (c_tptp_spindlecollectormt)). zenon_intro zenon_H1cec.
% 80.69/80.90 generalize (zenon_H1cec (c_cyclistsmt)). zenon_intro zenon_H1ced.
% 80.69/80.90 apply (zenon_imply_s _ _ zenon_H1ced); [ zenon_intro zenon_H1cef | zenon_intro zenon_H1cee ].
% 80.69/80.90 apply (zenon_notand_s _ _ zenon_H1cef); [ zenon_intro zenon_H1cf1 | zenon_intro zenon_H1cf0 ].
% 80.69/80.90 exact (zenon_H1cf1 zenon_H1ce9).
% 80.69/80.90 elim (classic ((~((c_tptp_spindlecollectormt) = (c_tptp_spindleheadmt)))/\(~(genlmt (c_tptp_spindlecollectormt) (c_tptp_spindleheadmt))))); [ zenon_intro zenon_H1cf2 | zenon_intro zenon_H1cf3 ].
% 80.69/80.90 apply (zenon_and_s _ _ zenon_H1cf2). zenon_intro zenon_H1cf5. zenon_intro zenon_H1cf4.
% 80.69/80.90 elim (classic ((~((c_tptp_spindlecollectormt) = (c_tptp_member3993_mt)))/\(~(genlmt (c_tptp_spindlecollectormt) (c_tptp_member3993_mt))))); [ zenon_intro zenon_H1cf6 | zenon_intro zenon_H1cf7 ].
% 80.69/80.90 apply (zenon_and_s _ _ zenon_H1cf6). zenon_intro zenon_H1cf9. zenon_intro zenon_H1cf8.
% 80.69/80.90 exact (zenon_H1cf8 ax2_923).
% 80.69/80.90 cut ((genlmt (c_tptp_member3993_mt) (c_tptp_spindleheadmt)) = (genlmt (c_tptp_spindlecollectormt) (c_tptp_spindleheadmt))).
% 80.69/80.90 intro zenon_D_pnotp.
% 80.69/80.90 apply zenon_H1cf4.
% 80.69/80.90 rewrite <- zenon_D_pnotp.
% 80.69/80.90 exact ax2_723.
% 80.69/80.90 cut (((c_tptp_spindleheadmt) = (c_tptp_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H1ce5].
% 80.69/80.90 cut (((c_tptp_member3993_mt) = (c_tptp_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H1cfa].
% 80.69/80.90 congruence.
% 80.69/80.90 apply (zenon_notand_s _ _ zenon_H1cf7); [ zenon_intro zenon_H1cfc | zenon_intro zenon_H1cfb ].
% 80.69/80.90 apply zenon_H1cfc. zenon_intro zenon_H1cfd.
% 80.69/80.90 elim (classic ((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt))); [ zenon_intro zenon_H1cfe | zenon_intro zenon_H1cff ].
% 80.69/80.90 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt)) = ((c_tptp_member3993_mt) = (c_tptp_spindlecollectormt))).
% 80.69/80.90 intro zenon_D_pnotp.
% 80.69/80.90 apply zenon_H1cfa.
% 80.69/80.90 rewrite <- zenon_D_pnotp.
% 80.69/80.90 exact zenon_H1cfe.
% 80.69/80.90 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H1cff].
% 80.69/80.90 cut (((c_tptp_spindlecollectormt) = (c_tptp_member3993_mt))); [idtac | apply NNPP; zenon_intro zenon_H1cf9].
% 80.69/80.90 congruence.
% 80.69/80.90 exact (zenon_H1cf9 zenon_H1cfd).
% 80.69/80.90 apply zenon_H1cff. apply refl_equal.
% 80.69/80.90 apply zenon_H1cff. apply refl_equal.
% 80.69/80.90 apply zenon_H1cfb. zenon_intro ax2_923.
% 80.69/80.90 generalize (zenon_H1ce6 (c_tptp_spindlecollectormt)). zenon_intro zenon_H1d00.
% 80.69/80.90 generalize (zenon_H1d00 (c_tptp_member3993_mt)). zenon_intro zenon_H1d01.
% 80.69/80.90 generalize (zenon_H1d01 (c_tptp_spindleheadmt)). zenon_intro zenon_H1d02.
% 80.69/80.90 apply (zenon_imply_s _ _ zenon_H1d02); [ zenon_intro zenon_H1cf8 | zenon_intro zenon_H1d03 ].
% 80.69/80.90 exact (zenon_H1cf8 ax2_923).
% 80.69/80.90 apply (zenon_imply_s _ _ zenon_H1d03); [ zenon_intro zenon_H1d05 | zenon_intro zenon_H1d04 ].
% 80.69/80.90 exact (zenon_H1d05 ax2_723).
% 80.69/80.90 exact (zenon_H1cf4 zenon_H1d04).
% 80.69/80.90 apply zenon_H1ce5. apply refl_equal.
% 80.69/80.90 cut ((genlmt (c_tptp_spindleheadmt) (c_cyclistsmt)) = (genlmt (c_tptp_spindlecollectormt) (c_cyclistsmt))).
% 80.69/80.90 intro zenon_D_pnotp.
% 80.69/80.90 apply zenon_H1cf0.
% 80.69/80.90 rewrite <- zenon_D_pnotp.
% 80.69/80.90 exact ax2_4288.
% 80.69/80.90 cut (((c_cyclistsmt) = (c_cyclistsmt))); [idtac | apply NNPP; zenon_intro zenon_H1d06].
% 80.69/80.90 cut (((c_tptp_spindleheadmt) = (c_tptp_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H1d07].
% 80.69/80.90 congruence.
% 80.69/80.90 apply (zenon_notand_s _ _ zenon_H1cf3); [ zenon_intro zenon_H1d09 | zenon_intro zenon_H1d08 ].
% 80.69/80.90 apply zenon_H1d09. zenon_intro zenon_H1d0a.
% 80.82/80.98 elim (classic ((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt))); [ zenon_intro zenon_H1cfe | zenon_intro zenon_H1cff ].
% 80.82/80.98 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt)) = ((c_tptp_spindleheadmt) = (c_tptp_spindlecollectormt))).
% 80.82/80.98 intro zenon_D_pnotp.
% 80.82/80.98 apply zenon_H1d07.
% 80.82/80.98 rewrite <- zenon_D_pnotp.
% 80.82/80.98 exact zenon_H1cfe.
% 80.82/80.98 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindlecollectormt))); [idtac | apply NNPP; zenon_intro zenon_H1cff].
% 80.82/80.98 cut (((c_tptp_spindlecollectormt) = (c_tptp_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H1cf5].
% 80.82/80.98 congruence.
% 80.82/80.98 exact (zenon_H1cf5 zenon_H1d0a).
% 80.82/80.98 apply zenon_H1cff. apply refl_equal.
% 80.82/80.98 apply zenon_H1cff. apply refl_equal.
% 80.82/80.98 apply zenon_H1d08. zenon_intro zenon_H1d04.
% 80.82/80.98 generalize (zenon_H1ce6 (c_tptp_spindlecollectormt)). zenon_intro zenon_H1d00.
% 80.82/80.98 generalize (zenon_H1d00 (c_tptp_spindleheadmt)). zenon_intro zenon_H1d0b.
% 80.82/80.98 generalize (zenon_H1d0b (c_cyclistsmt)). zenon_intro zenon_H1d0c.
% 80.82/80.98 apply (zenon_imply_s _ _ zenon_H1d0c); [ zenon_intro zenon_H1cf4 | zenon_intro zenon_H1d0d ].
% 80.82/80.98 exact (zenon_H1cf4 zenon_H1d04).
% 80.82/80.98 apply (zenon_imply_s _ _ zenon_H1d0d); [ zenon_intro zenon_H1d0f | zenon_intro zenon_H1d0e ].
% 80.82/80.98 exact (zenon_H1d0f ax2_4288).
% 80.82/80.98 exact (zenon_H1cf0 zenon_H1d0e).
% 80.82/80.98 apply zenon_H1d06. apply refl_equal.
% 80.82/80.98 exact (zenon_H1ceb zenon_H1cee).
% 80.82/80.98 generalize (ax2_1907 (c_tptprunningshorts)). zenon_intro zenon_H1d10.
% 80.82/80.98 apply (zenon_imply_s _ _ zenon_H1d10); [ zenon_intro zenon_H1d12 | zenon_intro zenon_H1d11 ].
% 80.82/80.98 apply (zenon_notand_s _ _ zenon_H1d12); [ zenon_intro zenon_H1d14 | zenon_intro zenon_H1d13 ].
% 80.82/80.98 generalize (ax2_7997 (c_tptp_spindlecollectormt)). zenon_intro zenon_H1cec.
% 80.82/80.98 generalize (zenon_H1cec (c_tptp_member2701_mt)). zenon_intro zenon_H1d15.
% 80.82/80.98 apply (zenon_imply_s _ _ zenon_H1d15); [ zenon_intro zenon_H1d17 | zenon_intro zenon_H1d16 ].
% 80.82/80.98 apply (zenon_notand_s _ _ zenon_H1d17); [ zenon_intro zenon_H1cf1 | zenon_intro zenon_H1d18 ].
% 80.82/80.98 exact (zenon_H1cf1 zenon_H1ce9).
% 80.82/80.98 exact (zenon_H1d18 ax2_1645).
% 80.82/80.98 exact (zenon_H1d14 zenon_H1d16).
% 80.82/80.98 exact (zenon_H1d13 zenon_H1cea).
% 80.82/80.98 exact (zenon_H1ce8 zenon_H1d11).
% 80.82/80.98 apply zenon_H1ce7. zenon_intro zenon_Tx_lan. apply NNPP. zenon_intro zenon_H1d1a.
% 80.82/80.98 apply zenon_H1d1a. zenon_intro zenon_Ty_lap. apply NNPP. zenon_intro zenon_H1d1c.
% 80.82/80.98 apply zenon_H1d1c. zenon_intro zenon_Tz_lar. apply NNPP. zenon_intro zenon_H1d1e.
% 80.82/80.98 apply (zenon_notimply_s _ _ zenon_H1d1e). zenon_intro zenon_H1d20. zenon_intro zenon_H1d1f.
% 80.82/80.98 apply (zenon_notimply_s _ _ zenon_H1d1f). zenon_intro zenon_H1d22. zenon_intro zenon_H1d21.
% 80.82/80.98 generalize (ax2_8002 zenon_Tx_lan). zenon_intro zenon_H1d23.
% 80.82/80.98 generalize (zenon_H1d23 zenon_Ty_lap). zenon_intro zenon_H1d24.
% 80.82/80.98 generalize (zenon_H1d24 zenon_Tz_lar). zenon_intro zenon_H1d25.
% 80.82/80.98 apply (zenon_imply_s _ _ zenon_H1d25); [ zenon_intro zenon_H1d27 | zenon_intro zenon_H1d26 ].
% 80.82/80.98 apply (zenon_notand_s _ _ zenon_H1d27); [ zenon_intro zenon_H1d29 | zenon_intro zenon_H1d28 ].
% 80.82/80.98 exact (zenon_H1d29 zenon_H1d20).
% 80.82/80.98 exact (zenon_H1d28 zenon_H1d22).
% 80.82/80.98 exact (zenon_H1d21 zenon_H1d26).
% 80.82/80.98 Qed.
% 80.82/80.98 % SZS output end Proof
% 80.82/80.98 (* END-PROOF *)
% 80.82/80.98 nodes searched: 83752
% 80.82/80.98 max branch formulas: 60583
% 80.82/80.98 proof nodes created: 337
% 80.82/80.98 formulas created: 881668
% 80.82/80.98
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